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3*r + 1. Let b be h(l). Let v(p) = -p**3 + 8*p**2 - 3*p - 10. What is the units digit of v(b)?
8
Let a = 20410 + -4936. What is the tens digit of a?
7
Suppose -2*y - 73 = -69. Let w be 7/(y + (3 - 0)). Let k = w + 90. What is the tens digit of k?
9
Let c(d) be the second derivative of 5*d**5/12 - d**4/12 - d**3/3 - 16*d**2 - 5*d. Let m(n) be the first derivative of c(n). What is the units digit of m(3)?
7
Let h = 334 - 187. Let d = 378 - 149. Let u = d - h. What is the units digit of u?
2
Let o(t) = -t + 22. Let v be o(18). Suppose 887 = 3*q + 5*k, -v*q - k - k = -1192. What is the hundreds digit of q?
2
Let s(k) = 35*k + 60. Let m be s(-1). Suppose 0 = m*h - 9981 - 13319. What is the units digit of h?
2
Suppose -3*j - 1304 = 643. Let u = j - -1058. What is the tens digit of u?
0
Let s(g) = -g**3 + 4*g**2 - 6*g + 7. Let q be s(3). What is the units digit of q*1 + 2980/10?
6
Let p(g) = -g**3 - 11*g**2 - 16*g + 20. Let s be p(-10). Let x = 2 + 1. Suppose 3*j = -3*f + 504, 2*f + x*j - 417 = -s. What is the hundreds digit of f?
1
What is the thousands digit of 5/((-19839)/9921 - -2)?
6
Let a(t) = 22*t**2 - 8*t + 1. Let g be a(1). Suppose -g*c = -10*c - 3565. What is the hundreds digit of c?
7
Let k(o) = 99*o**2 - 502*o + 18. What is the units digit of k(11)?
5
Let z be 980/(-56)*(-2828)/10. Suppose -z - 603 = -4*v. What is the units digit of v?
8
Let t be (-49 - 2 - -1)*30/(-3). Let h = 1006 - t. What is the units digit of h?
6
Let z(t) = 1803*t + 7680. What is the thousands digit of z(19)?
1
Suppose 40 = u - 3*c, -2*c = 2*u - 3*u + 36. Suppose -3*d + y - u = d, -d + 4*y + 8 = 0. What is the tens digit of ((-14)/5)/(d/40)?
1
Let w(z) = z**3 + z - 1. Let o(a) = 3*a**3 - 17*a**2 + 30*a + 15. Let t(m) = o(m) - 2*w(m). Let l be t(15). Let c = 8 - l. What is the tens digit of c?
2
Suppose 4*o + 885 = 61. Let c = 114 + o. Let v = c - -208. What is the tens digit of v?
1
Let w(r) = 110*r + 1. Suppose -3*d + 2*c = -d - 16, -c + 40 = 3*d. Let s be d/(-9)*(-6)/8. What is the hundreds digit of w(s)?
1
Suppose -24 + 14 = -5*i. What is the tens digit of (-3)/((-170)/82 + i)?
4
Let h = -17 + 51. Suppose -t = 2*n - 3*t + h, 4*t + 72 = -3*n. What is the hundreds digit of n/6*(-444)/10?
1
Let p(o) = 727*o - 2. Let y = -305 + 306. What is the tens digit of p(y)?
2
Suppose -10*b - f - 272 = -12*b, 2*f + 4 = 0. Let m = b + 90. What is the hundreds digit of m?
2
Suppose -31*q - 282*q + 4095900 = -43*q. What is the units digit of q?
0
Suppose -210680 = -14*h + 15492 + 33570. What is the hundreds digit of h?
5
Suppose 3*r = -4*j + 18, r - 7*j + 2*j = -13. Suppose 1082 = 2*v - 4*h, -r*v + 13*h - 10*h + 1086 = 0. What is the units digit of v?
9
Let x be (27123/2)/((26/(-4))/(-13)). Suppose x = 45*w - 6672. What is the hundreds digit of w?
7
Suppose -5*q - 3*l = -93 - 86, -q + 3*l = -25. Let j(y) = -3 + 11 + 6 - q*y + 11. What is the units digit of j(-6)?
9
Suppose 20 = 5*y, 0 = 5*r - r - 5*y + 20. Let h be 6/3 - (r/3)/2. Suppose 2 + 2 = h*k, 4*k + 277 = 5*m. What is the units digit of m?
7
Let v = -86267 + 132003. What is the thousands digit of v?
5
Let o(i) = -2*i - 21. Let b be o(0). Let v = -182 + 184. What is the tens digit of b/v*72/(-42)?
1
What is the tens digit of 2 + (-245217)/(-9) + (-56)/42?
4
Let g(j) = -1588*j - 2110. What is the hundreds digit of g(-9)?
1
Let p be ((-48)/5)/(6*(-11)/162690). Suppose 27*v - p = 11*v. What is the units digit of v?
9
Let v = -11799 + 20656. What is the thousands digit of v?
8
Suppose 25 = 5*l + o, -3*l = -2*o + 6*o + 2. Let i be (l - 4)*((-213)/(-3))/(-1). Let c = i - -275. What is the tens digit of c?
3
Let r(m) = -11*m**2 - 5*m - 3. Let d be r(-3). Let b = d - -89. Suppose 2*i - 4*a = 284, i + 4*a = -b*i + 416. What is the hundreds digit of i?
1
Suppose -12111 = -f - 5*p, 27*p = 25*p - 12. What is the units digit of f?
1
Suppose 0 = 5*b - 4 - 26. Suppose -112 = -b*s + 50. What is the tens digit of s?
2
Suppose -315 = -4*c - 5*y, -3*c + 4*y = -158 - 55. Suppose -3*n + 4*z + c = 0, -n + 25 = z + z. What is the units digit of 6/((-30)/n) - -110?
5
Let s = -59 - -74. Let w = 19 - s. Suppose w*b - 139 = -v, 253 = v + v + 3*b. What is the units digit of v?
9
Suppose 30*c + 98206 = 293566. What is the units digit of c?
2
What is the units digit of (102/9)/(42/30303) - -7?
4
Let p be (-2)/(-14)*(-3 + 10)*705. Let d = -413 + p. What is the tens digit of d?
9
Let i(d) be the first derivative of 2*d**2 + 25*d + 12. Let j be i(-6). What is the tens digit of (j*8)/(6/21)?
2
Suppose 211*t + 9556 = 198*t + 135474. What is the thousands digit of t?
9
Let n be (-20)/3*48/(-32). Let x be (4/n)/((-2)/(-50)). Suppose x*k = k + 765. What is the units digit of k?
5
Let m = -94 + 97. Let z(k) = 128*k**2 + 15*k - 43. What is the tens digit of z(m)?
5
Suppose 0 = -15*f - 56469 + 179619. What is the units digit of f?
0
What is the thousands digit of 18/8*(-82464)/(-36)?
5
Let c = 45 - 42. Suppose c*v - 644 = -0*u - 2*u, -2*v = 8. Suppose 0 = -5*s + u - 13. What is the units digit of s?
3
Let y(a) = -a**3 + 15*a**2 + 16*a - 5. Let n be y(16). Let f be -14*n/(-15)*-3. Suppose -f*i = -16*i + 288. What is the tens digit of i?
4
Let j = -1576 + -338. Let z = j - -2692. Suppose z = 4*u + 114. What is the units digit of u?
6
Let l be (-4)/10 - (-4872)/5. Suppose 2*x = -5*i + 13255 + 2401, 4*i + x - 12526 = 0. Suppose l = -13*r + i. What is the hundreds digit of r?
1
Suppose 67564 = 11*h + 10*h + 2191. What is the thousands digit of h?
3
Suppose -4*u + 4*a - 5100 = 0, 4*u + a = 3*u - 1275. What is the hundreds digit of ((-14)/3)/(17/u)?
3
Let a(n) = -9*n + 24. Let u be a(3). Let f(v) = 7*v**2 + 3*v + 5. Let p be f(u). Let m = p + 1. What is the tens digit of m?
6
Suppose 24*p - 170446 = 32378. What is the units digit of p?
1
Let l be (-3 - -1)/((-6)/9). Suppose -3275 = -l*h + 379. What is the units digit of (-2)/(-10)*1 - h/(-35)?
5
Let h(b) = 3901*b + 1974. What is the tens digit of h(7)?
8
Let f(d) = -d - 9. Let o be f(-22). Suppose -4*t + p = 22, 4*p + 9 = 2*t + o. What is the tens digit of (-280)/t*((-69)/(-12) - 2)?
7
Suppose 0 + 2 = i. Let y be 174/i*(-4)/(-6). Suppose t - 29 = 3*d, -2*d - 2*d = 2*t - y. What is the units digit of t?
9
Suppose 702*v + 3864 = 678*v. Let f be 1/1 + -228 + 0. Let o = v - f. What is the units digit of o?
6
Let s(d) = 661*d**3 - 57*d**2 + 21*d - 62. What is the thousands digit of s(5)?
1
Let y = -136 - -140. Suppose 5*l - w = 2052, y*l = -5*w + 2377 - 718. What is the units digit of l?
1
Let y = -18611 + 68189. What is the hundreds digit of y?
5
Suppose -11*b = -9*b + 44*b - 96278. What is the units digit of b?
3
Let p(z) be the second derivative of -2*z**3 + 27*z**2/2 - z - 10. What is the tens digit of p(-9)?
3
What is the tens digit of -64*(-9 + 19695/(-26))?
5
Suppose -3*v - 175 = -8*v. Suppose -2*b - q + 6 = -0*q, -5*q = -3*b + v. Suppose h + b = 81. What is the units digit of h?
6
Let d be -9 + (-1197)/(-135) - (-94)/30. Suppose 0 = -5*j - d*h + 2046, 3*j - 1228 = -0*h - 2*h. What is the units digit of (j/42)/((-1)/(-7))?
8
Suppose 3*n - 15 = 0, -30*v + 25*v + 2*n = 50605. What is the hundreds digit of v/(-27) + 3*10/135?
3
Suppose -113 = 2*u - 129. Suppose 2*z - 3*c = 613, 9*z - u*z = 2*c + 305. What is the units digit of z?
1
What is the tens digit of 3 - 6 - (-1 - 2 - 18435)?
3
Suppose 15*v - 278649 - 40686 = 0. What is the hundreds digit of v?
2
Let p(b) be the second derivative of b**6/60 + b**5/40 - b**4/6 + 11*b**3/6 + 11*b. Let q(c) be the second derivative of p(c). What is the units digit of q(4)?
4
Suppose 354 = 9*f - 366. What is the units digit of ((-391)/(-46))/(2/f)?
0
Suppose -5*w = -5*h - 24070, h + 17015 = 4*w - 2229. What is the units digit of w?
0
What is the units digit of ((-69)/2 - (-9)/(-6))/((-9)/6648)?
2
Let n = 226 - 224. Suppose n*v - 1919 = -3*p, -24*v + 26*v = 2*p - 1286. What is the tens digit of p?
4
Let w(d) = 5*d - 3. Let f be w(1). Suppose 0 = -5*x + f*x + 4*h + 13, -2*h = -x + 7. What is the tens digit of 530/8 - x/(-4)?
6
Suppose -373 = 4*c - 3*a, 0 = -c + 4*c + 5*a + 258. Let v = -73 - c. Suppose 0 = 2*s - v*s + 2048. What is the units digit of s?
8
Suppose 3*y = -u - 16, 5*y = -5*u + 10*u - 40. What is the units digit of (-5)/(-3) - 2138/y?
8
Suppose 26*d - 141414 = 13*d. What | {
"pile_set_name": "DM Mathematics"
} |
of 6476 and 291420.
291420
Calculate the common denominator of -59/5551632 and -73/6168480.
55516320
What is the smallest common multiple of 104528 and 92296?
8675824
Find the common denominator of 69/1519168 and -35/325536.
4557504
What is the common denominator of 64/3245 and 57/194140?
125996860
What is the least common multiple of 339360 and 575?
39026400
What is the smallest common multiple of 319024 and 8792?
2233168
What is the least common multiple of 4435980 and 7097568?
35487840
What is the common denominator of -1/4800 and 61/7459776?
186494400
What is the common denominator of -117/91256 and 21/42526?
176397848
Find the common denominator of -18/2272475 and -65/181798.
4544950
Calculate the common denominator of -79/132 and -115/221964.
2441604
Calculate the lowest common multiple of 55 and 135115.
1486265
Calculate the lowest common multiple of 2 and 358972.
358972
Calculate the lowest common multiple of 27520768 and 22.
27520768
What is the common denominator of -119/2988 and -65/19802472?
59407416
Calculate the lowest common multiple of 3771 and 11274.
14171418
Calculate the common denominator of -31/9610230 and 62/150880611.
1508806110
Calculate the common denominator of 54/1224755 and 89/349930.
2449510
Find the common denominator of -39/1042 and -1/20392.
10624232
What is the common denominator of -50/171877 and 1/10656374?
10656374
Calculate the common denominator of -49/1990224 and -37/21155344.
571194288
What is the least common multiple of 464244 and 17964?
694973268
What is the lowest common multiple of 9132 and 1513629?
6054516
Calculate the common denominator of 22/52461 and -59/1619055.
46952595
Calculate the lowest common multiple of 245403 and 750.
61350750
What is the common denominator of -23/8689520 and 39/4?
8689520
What is the common denominator of -203/11848320 and -1/3456?
35544960
What is the common denominator of -55/22266 and 65/3128373?
6256746
Calculate the smallest common multiple of 133168 and 3408.
28364784
Calculate the least common multiple of 1022 and 1495137.
218290002
Calculate the least common multiple of 944 and 1489632.
1489632
Find the common denominator of 19/1008385 and -101/70.
2016770
What is the common denominator of 7/6244180 and -37/35?
43709260
Calculate the least common multiple of 14852355 and 110.
326751810
What is the common denominator of 40/214157 and 65/64053?
21201543
Find the common denominator of 121/71640 and -46/295515.
2364120
Calculate the lowest common multiple of 498 and 5169572.
15508716
Find the common denominator of 35/3050619 and 61/39039.
21354333
Calculate the smallest common multiple of 329092811 and 1.
329092811
Find the common denominator of 49 and -59/44727742.
44727742
Find the common denominator of -46/9135 and 94/16117185.
48351555
What is the lowest common multiple of 394152 and 44?
394152
What is the common denominator of 26/135238125 and 17/2607000?
1081905000
What is the smallest common multiple of 789585 and 54?
14212530
Calculate the common denominator of 41/149532 and -107/53210.
234017580
Find the common denominator of 19/41160 and 71/157780.
946680
Calculate the smallest common multiple of 96915 and 267528.
121725240
Calculate the common denominator of 5/141334 and 67/55.
7773370
Calculate the common denominator of -109/8396960 and -7/1664.
33587840
What is the lowest common multiple of 9155832 and 2288958?
9155832
Calculate the least common multiple of 1964677 and 1057903.
13752739
Find the common denominator of 71/823440 and 41/17137845.
274205520
What is the common denominator of 64/9 and 12/23753069?
213777621
What is the lowest common multiple of 16 and 2643823?
42301168
Calculate the common denominator of 49/1985 and 33/3092630.
3092630
What is the common denominator of 5/106236 and -163/43056?
9773712
Calculate the least common multiple of 3307216 and 6622.
23150512
What is the common denominator of 103/14 and -117/15526672?
15526672
What is the common denominator of -173/1716 and 71/322296?
3545256
What is the least common multiple of 25 and 8815660?
44078300
What is the lowest common multiple of 928952 and 232238?
928952
Calculate the common denominator of 81/20 and -73/71388380.
71388380
What is the common denominator of -31/7598016 and -53/1488?
235538496
Calculate the lowest common multiple of 980628 and 89148.
980628
What is the lowest common multiple of 32712 and 1844139?
14753112
Find the common denominator of -101/4 and 87/10115650.
20231300
Calculate the smallest common multiple of 30030364 and 4004.
330334004
What is the common denominator of -28/15 and -49/826729?
12400935
What is the common denominator of 107/15642 and 125/935748?
73924092
Calculate the smallest common multiple of 1335620 and 660.
4006860
What is the common denominator of -71/138 and -131/56304?
56304
What is the lowest common multiple of 24 and 225352200?
225352200
Calculate the least common multiple of 21960 and 1163880.
1163880
Calculate the common denominator of -101/100062 and -119/2291616.
116872416
What is the lowest common multiple of 18 and 26152920?
26152920
Calculate the common denominator of 65/21345261 and 38/15246615.
106726305
Calculate the least common multiple of 183084 and 9348.
7506444
Find the common denominator of -145/98125176 and 101/4.
98125176
Calculate the least common multiple of 45 and 1351380.
4054140
What is the common denominator of -55/1948227 and 109/147036?
7792908
What is the common denominator of 89/1935 and 23/26610?
3432690
What is the common denominator of -101/3298254 and 64/59607?
9894762
Find the common denominator of 5/73187609 and 49/15763.
73187609
What is the lowest common multiple of 855 and 65270700?
65270700
What is the lowest common multiple of 197640 and 88938?
1778760
What is the common denominator of -69/855044 and 49/67975998?
135951996
Calculate the common denominator of 51/11480540 and 36/6314297.
126285940
Find the common denominator of 63/110 and -73/3587050.
39457550
What is the least common multiple of 312927 and 84?
8761956
What is the smallest common multiple of 36984 and 7423734?
682983528
What is the common denominator of 139/538896 and -15/1133?
5927856
Calculate the least common multiple of 48041 and 686300.
4804100
Calculate the common denominator of -67/1672680 and 157/41028.
21744840
What is the lowest common multiple of 38193768 and 189?
267356376
What is the lowest common multiple of 4120480 and 1698?
12361440
What is the lowest common multiple of 779799 and 51?
13256583
What is the common denominator of -19/644856 and -83/782984?
650659704
Calculate the least common multiple of 5454020 and 112.
152712560
Find the common denominator of 67/12 and -85/801282.
1602564
What is the least common multiple of 13348555 and 274340?
2295951460
Calculate the common denominator of -23/12584900 and -11/1761886.
88094300
Find the common denominator of 109/2730 and 53/262560.
23892960
What is the smallest common multiple of 30751281 and 3181167?
92253843
Calculate the lowest common multiple of 184204333 and 75848843.
1289430331
What is the smallest common multiple of 28883101 and 322?
404363414
Find the common denominator of -76/89991 and -26/100899.
3329667
Find the common denominator of -139/42 and 59/1254428.
3763284
Calculate the lowest common multiple of 51883153 and 7411879.
51883153
What is the common denominator of 25/1292 and -25/127224?
2162808
Calculate the smallest common multiple of 114460 and 101421.
196756740
What is the common denominator of 14/15226677 and -67/1854171?
502480341
Calculate the common denominator of -44/207 and -54/1183445.
244973115
Calculate the common denominator of 167/13061100 and -99/55250.
65305500
Find the common denominator of 121/19593280 and -61/100.
97966400
What is the lowest common multiple of 3894535 and 11683605?
11683605
Find the common denominator of -179/5828940 and -89/4752828.
308933820
Find the common denominator of -31/12815490 and -115/16986.
243494310
Calculate the common denominator of 67/853960 and -79/341584.
1707920
Calculate the smallest common multiple of 3617000 and 625.
18085000
Find the common denominator of -42/7817945 and 41/47622.
46907670
What is the least common multiple of 16883 and 2116?
35724428
What is the lowest common multiple | {
"pile_set_name": "DM Mathematics"
} |
between 8:42 AM and 4:36 PM?
474
How many minutes are there between 6:01 PM and 11:26 PM?
325
What is 391 minutes before 12:50 PM?
6:19 AM
What is 372 minutes after 6:54 AM?
1:06 PM
What is 137 minutes before 3:35 AM?
1:18 AM
What is 344 minutes after 1:25 PM?
7:09 PM
What is 321 minutes before 9:31 PM?
4:10 PM
How many minutes are there between 3:49 AM and 3:34 PM?
705
How many minutes are there between 1:41 AM and 2:19 AM?
38
How many minutes are there between 12:06 AM and 7:25 AM?
439
How many minutes are there between 8:31 PM and 7:43 AM?
672
How many minutes are there between 10:44 AM and 4:58 PM?
374
What is 418 minutes before 7:27 AM?
12:29 AM
What is 270 minutes after 9:46 PM?
2:16 AM
How many minutes are there between 9:46 PM and 12:21 AM?
155
What is 634 minutes before 5:36 AM?
7:02 PM
What is 514 minutes after 8:59 PM?
5:33 AM
What is 385 minutes before 3:40 AM?
9:15 PM
How many minutes are there between 10:20 PM and 3:45 AM?
325
How many minutes are there between 12:32 AM and 1:26 AM?
54
How many minutes are there between 3:05 AM and 4:01 AM?
56
What is 318 minutes after 2:45 AM?
8:03 AM
How many minutes are there between 3:27 AM and 5:11 AM?
104
What is 430 minutes before 11:02 PM?
3:52 PM
What is 703 minutes after 1:00 AM?
12:43 PM
How many minutes are there between 1:22 AM and 8:10 AM?
408
What is 584 minutes after 10:43 PM?
8:27 AM
What is 538 minutes after 3:48 PM?
12:46 AM
How many minutes are there between 11:20 PM and 9:19 AM?
599
What is 564 minutes after 6:03 PM?
3:27 AM
What is 298 minutes before 6:36 AM?
1:38 AM
How many minutes are there between 12:03 PM and 8:05 PM?
482
How many minutes are there between 4:54 AM and 12:44 PM?
470
What is 236 minutes after 5:28 AM?
9:24 AM
What is 582 minutes after 7:59 AM?
5:41 PM
What is 667 minutes after 6:40 AM?
5:47 PM
What is 318 minutes before 10:14 AM?
4:56 AM
What is 482 minutes before 10:52 PM?
2:50 PM
How many minutes are there between 1:33 PM and 1:43 PM?
10
What is 481 minutes after 6:30 AM?
2:31 PM
How many minutes are there between 3:59 PM and 8:24 PM?
265
How many minutes are there between 7:31 AM and 3:42 PM?
491
What is 204 minutes after 3:01 PM?
6:25 PM
How many minutes are there between 4:30 AM and 3:30 PM?
660
What is 709 minutes before 8:58 AM?
9:09 PM
What is 610 minutes before 10:29 AM?
12:19 AM
How many minutes are there between 1:54 AM and 12:54 PM?
660
How many minutes are there between 10:13 AM and 5:37 PM?
444
How many minutes are there between 4:44 PM and 4:17 AM?
693
How many minutes are there between 3:58 AM and 8:23 AM?
265
How many minutes are there between 7:20 AM and 2:53 PM?
453
How many minutes are there between 8:44 AM and 10:26 AM?
102
How many minutes are there between 12:31 PM and 8:33 PM?
482
How many minutes are there between 1:45 PM and 3:51 PM?
126
What is 655 minutes after 2:50 PM?
1:45 AM
How many minutes are there between 2:08 AM and 6:51 AM?
283
How many minutes are there between 7:00 AM and 4:07 PM?
547
What is 482 minutes after 7:18 PM?
3:20 AM
How many minutes are there between 7:52 PM and 7:32 AM?
700
How many minutes are there between 12:25 AM and 8:17 AM?
472
What is 170 minutes after 2:15 AM?
5:05 AM
What is 207 minutes before 4:17 PM?
12:50 PM
How many minutes are there between 8:32 AM and 7:36 PM?
664
How many minutes are there between 12:03 AM and 12:30 AM?
27
How many minutes are there between 11:52 PM and 5:17 AM?
325
How many minutes are there between 2:13 PM and 8:38 PM?
385
How many minutes are there between 4:06 PM and 10:34 PM?
388
How many minutes are there between 12:18 PM and 10:07 PM?
589
What is 71 minutes after 4:58 AM?
6:09 AM
What is 313 minutes after 6:50 PM?
12:03 AM
What is 10 minutes before 4:13 PM?
4:03 PM
What is 429 minutes after 8:44 AM?
3:53 PM
What is 254 minutes before 12:21 AM?
8:07 PM
What is 132 minutes before 1:08 PM?
10:56 AM
What is 429 minutes before 10:59 AM?
3:50 AM
How many minutes are there between 8:28 AM and 6:38 PM?
610
What is 148 minutes before 8:14 AM?
5:46 AM
What is 60 minutes before 8:24 PM?
7:24 PM
How many minutes are there between 7:13 AM and 9:32 AM?
139
How many minutes are there between 7:33 PM and 6:51 AM?
678
How many minutes are there between 9:40 AM and 9:20 PM?
700
What is 194 minutes after 8:30 PM?
11:44 PM
What is 320 minutes after 1:37 AM?
6:57 AM
How many minutes are there between 1:12 PM and 12:24 AM?
672
How many minutes are there between 12:07 AM and 12:43 AM?
36
What is 195 minutes before 9:13 AM?
5:58 AM
How many minutes are there between 7:44 PM and 12:54 AM?
310
How many minutes are there between 10:35 AM and 6:57 PM?
502
How many minutes are there between 1:10 AM and 7:23 AM?
373
How many minutes are there between 2:27 AM and 1:37 PM?
670
What is 373 minutes before 3:43 PM?
9:30 AM
What is 293 minutes after 2:43 AM?
7:36 AM
What is 428 minutes before 11:38 PM?
4:30 PM
What is 237 minutes before 9:17 PM?
5:20 PM
What is 328 minutes after 9:25 PM?
2:53 AM
What is 165 minutes after 10:50 PM?
1:35 AM
How many minutes are there between 12:45 AM and 12:51 AM?
6
What is 675 minutes before 8:08 AM?
8:53 PM
What is 246 minutes after 4:21 PM?
8:27 PM
What is 609 minutes after 2:38 AM?
12:47 PM
How many minutes are there between 8:38 PM and 11:18 PM?
160
What is 595 minutes after 10:07 AM?
8:02 PM
What is 592 minutes after 9:49 AM?
7:41 PM
How many minutes are there between 6:04 AM and 10:47 AM?
283
How many minutes are there between 7:16 AM and 4:57 PM?
581
How many minutes are there between 9:30 PM and 5:18 AM?
468
What is 92 minutes after 8:14 PM?
9:46 PM
How many minutes are there between 5:20 PM and 4:20 AM?
660
How many minutes are there between 1:24 PM and 11:23 PM?
599
What is 617 minutes before 9:11 AM?
10:54 PM
What is 298 minutes after 1:45 AM?
6:43 AM
How many minutes are there between 10:50 PM and 8:49 AM?
599
What is 355 minutes after 6:16 PM?
12:11 AM
How many minutes are there between 8:56 PM and 3:07 AM?
371
What is 387 minutes after 10:10 PM?
4:37 AM
How many minutes are there between 12:15 AM and 10:59 AM?
644
What is 581 minutes after 8:17 AM?
5:58 PM
How many minutes are there between 12:57 PM and 7:43 PM?
406
What is 77 minutes after 12:42 AM?
1:59 AM
How many minutes are there between 2:33 PM and 12:44 AM?
611
What is 505 minutes after 3:50 PM?
12:15 AM
What is 101 minutes after 9:09 AM?
10:50 AM
How many minutes are there between 5:43 PM and 2:04 AM?
501
What is 421 minutes after 8:57 PM?
3:58 AM
How many minutes are there between 1:49 AM and 8:33 AM?
404
What is 255 minutes before 5:51 PM?
1:36 PM
What is 612 minutes after 8:48 AM?
7:00 PM
What is 149 minutes before 11:56 PM?
9:27 PM
What is 246 minutes before 6:03 AM?
1:57 AM
How many minutes are there between 3:08 PM and 6:37 PM?
209
How many minutes are there between 6:16 PM and 1:39 AM?
443
How many minutes are there between 3:10 AM and 10:53 AM?
463
How many minutes are there between 8:09 PM and 8:57 PM?
48
How many minutes are there between 5:40 AM and 2:43 PM?
543
How many minutes are there between 5:48 AM and 4:50 PM?
662
What is 293 minutes after 8:00 AM?
12:53 PM
What is 400 minutes after 10:47 PM?
5:27 AM
How many minutes are there between 9:39 PM and 8:43 AM?
664
How many minutes are there between 2:39 AM and 11:25 AM?
526
What is 255 minutes before 6:13 PM?
1:58 PM
How many minutes are there between 4:51 PM and 11:35 PM?
404
What is 158 minutes before 11:40 PM?
9:02 PM
How many minutes are there between 1:16 AM and 6:25 AM?
309
How many minutes are there between 6:24 AM and 7:56 AM?
92
What is 291 minutes before 6:44 PM?
1:53 PM
How many minutes are there between 10:54 PM and 4:22 AM?
328
What is 132 minutes before 5:48 PM?
3:36 PM
How many minutes are there between 9:44 PM and 5:18 AM?
454
What is 107 minutes before 2:08 PM?
12:21 PM
How many minutes are there between 9:45 PM and 2:11 AM?
266
How many minutes are there between 1:33 PM and 12:43 AM?
670
How many minutes are there between 9:18 PM and 11:24 PM?
126
How many minutes are there between 12:12 AM and 6:46 AM?
394
How many minutes are there between 5:36 PM and 3:19 AM?
583
How many minutes are there between 11:58 PM and 11:01 AM?
663
How many minutes are there between 9:47 AM and 8:12 PM?
625
What is 408 minutes after | {
"pile_set_name": "DM Mathematics"
} |
*t**4 + (-3*t**2 - t**2 + 3*t**2)*(4 - 4 - 2*t**2) in the form z*t**4 + f*t**2 + r*t + w*t**3 + p and give z.
-7070
Express 158*h**2 + 164*h**2 + 149*h**2 - 2 + h**4 - 472*h**2 - 109*h**3 - h as b*h**2 + y*h + n*h**3 + v*h**4 + i and give i.
-2
Express -h**3 + 7224*h + 2 - h**3 - 7595*h in the form p*h + t*h**2 + d*h**3 + s and give s.
2
Express (-3 - 2 - 27*o + 29*o)*(3*o - 3*o + 2*o)*(-6 + 2 + 3) + 2*o**2 - 3*o**2 + 2*o**2 - 3*o**2 - 4*o**2 + 3*o**2 as b*o**2 + r + i*o and give i.
10
Rearrange -i**2 + 8 + 1 + 2*i**3 - 10 + 1427*i**4 to y + u*i**3 + b*i + w*i**4 + n*i**2 and give u.
2
Express (-3*m - 4*m + 0*m)*((28 - 15 + 3)*(7 + 13 - 5) + (-1 - 1 + 1)*(1 + 0 + 1) - 1 + 2 + 0 - 5 + 3 + 0) in the form v + f*m and give f.
-1659
Rearrange 629991 + 2*m**3 - 1791*m**2 - 629991 - 6*m**3 to p*m + w + i*m**2 + b*m**3 and give b.
-4
Rearrange -1285 + 4*b**2 - 3*b**2 + 646 + 642 - 2035*b**3 to q*b**2 + j + i*b + s*b**3 and give q.
1
Rearrange (-5 - 9 + 5)*(-27573 + 220*g + 27573) to d + a*g and give a.
-1980
Express -638*y + 375*y - 73*y - 14 in the form k + c*y and give k.
-14
Rearrange -52*l - 14 + 27 - 64*l - 12 - 20 to the form o*l + y and give y.
-19
Express (3 - 2 + 1 + (-1 - 4 + 4)*(-2 - 1 + 2))*(-25713*o**3 + 12*o**4 + 51559*o**3 - 25567*o**3) in the form j + k*o**3 + l*o + m*o**4 + w*o**2 and give m.
36
Rearrange -3560*c + 2 - 1899*c + 194*c - 2 to y*c + g and give g.
0
Express (2 - 2 - 2)*(-640 + 1258 - 1067 + 1 + 3 - 2 + (1 - 6 + 4)*(1 + 0 + 0))*(-2 - 2 + 2)*(4*l**3 + 0*l**3 - 2*l**3) as u*l + i*l**2 + g*l**3 + b and give g.
-3584
Express (-2776 + 3201 + 4*l - 8*l)*(2 - 2 + 1) in the form y*l + r and give r.
425
Rearrange (-x - 4*x + 3*x)*(-4 - 2*x**3 + 4) + 8992 - x**4 + 7451647*x - 7451647*x to the form m*x**4 + p + j*x + g*x**2 + c*x**3 and give g.
0
Express (-137 - 77 + 130)*(47*i**2 + 6*i**2 - 181*i**2) as w + t*i**2 + o*i and give t.
10752
Express 73 + 66 + 3009*c - 211 + 74 in the form m*c + i and give m.
3009
Express -7*k**2 - 116*k + 116*k + (2*k + 2 - 2)*(-k - 6*k - 3*k) + 6*k**2 - 4*k**2 - 5*k**2 as l*k**2 + f + v*k and give l.
-30
Rearrange (-2 + 1 + 0)*(3 - 226840*j + 221417*j - 2) to the form m + w*j and give m.
-1
Express 632*h**4 - 310*h**4 - 2 - h**3 - 52*h - 316*h**4 + h**2 in the form q*h + x*h**2 + z + o*h**3 + k*h**4 and give o.
-1
Rearrange 801*c**2 + 2*c + 3 + 179*c**4 - 90*c**4 - 777*c**2 - 86*c**4 to the form q*c**4 + z + u*c**2 + p*c**3 + m*c and give p.
0
Express -30 + 30 - 11*o**3 - o + ((o - 4*o + 2*o)*(217 + 16*o - 217) - o**2 - 2 + 2)*(0 - 6 + 3)*(2*o - 3 + 3) in the form f*o**3 + w*o**2 + l + j*o and give j.
-1
Express 5882*d - 2198122 + 2198122 in the form z*d + v and give z.
5882
Rearrange (40*o + 157*o - 77*o)*(-5 - 56*o**3 + 5 + (3 - 1 - 1)*(o**3 + 0*o**3 + o**3)) to n*o**3 + l*o + x*o**2 + m + i*o**4 and give i.
-6480
Express (0 + 0 + 1)*(107*d**3 - 110*d + 110*d) + 27 - 26 - 7*d + d**3 + 9*d in the form f*d**2 + j + s*d + g*d**3 and give g.
108
Express (-4 + 3 + 3)*(-i**2 - 32*i**3 - 2*i + 58286*i**4 - 29151*i**4 - 29127*i**4) as u*i**4 + k*i**2 + p*i + w + d*i**3 and give p.
-4
Rearrange -12823*c + 2610*c - 856*c to d*c + l and give d.
-11069
Express 14751*a + 6531*a - 717 + 717 as o*a + v and give o.
21282
Rearrange (0 + 0 - 2*i)*(-16 - 2 - 21)*(13 - 8 - 3)*(0*i + 2*i + 3*i)*(-5*i**2 + i**2 + i**2) to a*i**2 + m*i**4 + g*i + x + c*i**3 and give m.
-2340
Express (-172 - v + 175 - v)*(-604 + 604 + 424*v) as w*v**2 + t*v + c and give w.
-848
Rearrange ((-2*l - 5*l - 3*l)*(-6 + 6 - 6*l) + 10 - 10 + 6*l**2)*(-10*l - 12 + 12)*(3*l - 2*l - 3*l) to the form j + x*l + s*l**2 + o*l**3 + g*l**4 and give g.
1320
Rearrange (-71 + 37 - 156)*(-4*y + 6 - 16 + 2*y) to z + m*y and give m.
380
Express 3*m**2 + 17*m**4 + 185 - 6*m**4 + 235 - m**3 - 16*m**4 - 5*m**2 as i*m + w*m**4 + a*m**3 + k + b*m**2 and give i.
0
Express -124 - 373*z**2 - 5 + 16 - 20*z + 5*z + 374*z**2 as k*z + s*z**2 + j and give k.
-15
Rearrange -790*k + 7184*k + 14199*k + 1211*k to n*k + h and give n.
21804
Rearrange (2*y**3 + y - y)*(97 + 24 + 91 + 66 - 43)*(89*y - 107*y + 322*y) to the form g + n*y**2 + a*y + b*y**4 + c*y**3 and give b.
142880
Express -y**3 - 36*y**2 - 28*y**2 + 27*y**2 + 17*y - 12*y**2 in the form o*y**2 + g*y**3 + q*y + a and give o.
-49
Rearrange (4*g - g - 2*g)*(-2*g + 0*g + 0*g) - 6196 + 88*g**2 + 6196 + 15*g - 8*g**2 - 15*g to the form l + k*g**2 + n*g and give k.
78
Rearrange (6*d + 1 + 4*d**2 - 4*d + 5*d)*(-17*d**2 + 212*d**2 + 497*d**2) to the form n*d**2 + j*d + z*d**3 + x*d**4 + o and give n.
692
Express -3526*h - 1579*h + 6 - 4 in the form d + s*h and give s.
-5105
Express (-64 + 238 + 101)*(2 - 2 + 1)*(-y + 3*y + 0*y)*(1 + 3 - 6) in the form m*y + h and give m.
-1100
Rearrange 13820*s + 7*s**3 - 13820*s - 48 + 3*s**2 - 4*s**3 to v*s**2 + b*s + k + w*s**3 and give k.
-48
Express -7*o + 3*o - 492*o**2 - 1668*o**2 - 1008*o**2 + 3*o as v*o + s + k*o**2 and give k.
-3168
Express 338*q + 35*q + 405*q - 107*q as d*q + v and give d.
671
Rearrange -81*v**4 - 33*v + 32*v - 48*v**4 + 10 + 71*v**4 - 38*v**4 to m*v**4 + k + u*v + j*v**2 + l*v**3 and give u.
-1
Express 12*h**3 - 2*h**3 + 6*h**3 - 2243*h**2 - 475 - 2*h - 19*h**3 + 477 as w*h**3 + m*h + b + r*h**2 and give b.
2
Express 6*j - 49 + 3*j + 161 - 53 - 57 - 321*j**2 as s*j**2 + m + f*j and give m.
2
Rearrange (-60536*t + 60536*t - 156*t**2 + 5)*(10 - 28 - 36 - 20) to f*t**2 + h + k*t and give f.
11544
Rearrange (5 - 6 + 0)*(7 - 7 + 4 + (4 + 1 - 4)*(-2 + 2 + 1))*(195*n - 90 + 1 - 194*n) to u + l*n and give u.
445
Express 71*w - 3 - 196*w - 549*w in the form a*w + t and give t.
-3
Express -8084*o + 4976*o - 12535*o - 1622 + 1622 in the form l + a*o and give a.
-15643
Rearrange (4*a - 3*a - 3*a)*(331*a + 16583 - 332*a - 6470) to c + w*a + s*a**2 and give w.
-20226
Rearrange 7*i**3 + 4*i - 4*i + (19 - 1 - 46)*(-2*i**2 + 2*i**3 + 2*i**2) - 11 + 11 + 14*i**3 to the form g + p*i + s*i**3 + r*i**2 and give s.
-35
Rearrange -33*l - 91 + 81 - 11*l + 47 + 28 to the form o*l + r and give o.
-44
Express -181 - 4*w + w**2 - 196 - 321 + 4*w as g*w + h + d*w**2 and give d.
1
Rearrange -12*z**2 + 71*z**2 + 34*z**2 - 6*z**2 + 9*z**2 + 5*z**2 + (-z + 5*z - 2*z)*(4 - z - 4) to the form p + m*z**2 + d*z and give p.
0
Rearrange -306*o**2 + 4 + 15*o**4 + o**3 + 615*o**2 - 10 - 307*o**2 to the form k*o**4 + s*o**2 + g + p*o + a*o**3 and give k.
15
Rearrange 2*u**4 + 0*u - 3*u**2 - u**2 - 2*u - 287 - 3*u**2 + 285 to y*u + d*u**2 + c + x*u**3 + t*u**4 and give y.
-2
Rearrange (-6*v + 3*v + 0*v)*(147 - 5 + 193) to the form f + u*v and give f.
0
Express (3*d**2 - d**2 - 5*d**2)*((-5 + 4 - 1)*(-3 - 1 + 3) + 24 - 9 + 28 - 2 + 4 + 0) in the form v*d**2 + n*d + p and give v.
-141
Express 1248*w**2 + 1234*w**2 - 1245*w**2 + 1124*w**2 + 791*w**2 as m + q*w**2 + a*w and give q.
3152
Rearrange 26*v**3 + 70*v**2 + 3035489 - 3035489 to the form i*v**3 + j*v**2 + h*v + b and give j.
70
Express ((1 - 3 + 0)*(-1 - 3 + 5) + 4 - 3 + 0 + 3 + 0 - 5)*(-5437*y + 1364*y - 558*y) as i*y + l and give i.
13893
Rearrange -m**3 - 5*m + 12 - 29 + 3*m + 3*m + 73 to b*m + v*m**2 + j*m**3 + g and give g.
56
Rearrange (2*i + 78*i**2 + 1 + 26*i**2 - 10*i**2)*(19 + 8 + 8)*(0 - 3 - 1) to the form c + m*i + v*i**2 and give c.
-140
Rearrange 9*i + 2*i**3 - 5*i**4 + 4*i**4 - 17 + 61763*i**2 - 61762*i**2 to the form r*i**4 + o*i + d*i**2 + x + c*i**3 and give x.
-17
Express -1487*s + 2935*s + s**2 + 2*s**2 - 5*s**3 - 1491*s in the form d*s**2 + u*s + c*s**3 + r and give u.
-43
Rearrange -26845 + 53690 - 26845 - 11229*p to s + l*p and give l.
-11229
Express 143 - 76 + 15*s**3 + 97*s - 65 in the form z*s + f*s**2 + v + x*s**3 and give z.
97
Express -2*n - 2*n - 15 + 11 + (-5*n - 24*n + 0*n)*(4 - 5 - 4) in the form b + w*n and give w.
141
Express -1317*o**2 - 1299*o**2 - 2*o**3 + 2579*o**2 - o + 2 in the form n*o**2 + g*o + p + x*o**3 and give n.
-37
Rearrange (-x + 0*x + 0*x)*(-13017 + 4756 + 5638)*(0 - 1 + x + 0*x) to the form v*x + a + d*x**2 and give d.
2623
Rearrange 279 - 4*f**2 + 3205*f - 3205*f to the form r*f**2 + v + s*f and give r.
-4
Express 8*i + 22652 + 10*i - 22365 in the form q*i + h and give h.
287
Express ((-3 + 7 - 3)*(-u - u + 0*u) + 58*u - 103*u + 63*u)*(-346 - 222 - 117) as k*u + m and give k.
-10960
Rearrange ( | {
"pile_set_name": "DM Mathematics"
} |
Expand (-8 + 14 + 4*z - 4)*(-2 + 2 - 2*z**3).
-8*z**4 - 4*z**3
Expand (4*x - 3*x + x + 3*x + 0 + 0 + (0*x + 3*x - 2*x)*(2 + 1 - 1))*(-6*x - 161 + 161).
-42*x**2
Expand (0*h - 2*h + 0*h)*(-20*h + 20*h + 31*h**2) - 4*h - h**3 + 4*h.
-63*h**3
Expand (-1 + 3 - 1)*(-o**4 + o**4 + o**5 + (-2*o**2 - o**2 + 2*o**2)*(19*o**3 + 14*o**2 - 14*o**2)).
-18*o**5
Expand (-2 + 1 - 1)*(4 - 4 - 1)*(-3*d**3 - 6*d**3 - 4*d**3).
-26*d**3
Expand -n**3 + n**3 - 2*n**5 + 2*n**5 - 3*n**5 + 2*n**5 + (2*n**2 - 2*n**2 + 8*n**4)*(n + 0*n - 3*n).
-17*n**5
Expand (11*r - 11*r - 2*r**2)*(-3*r - 3 - r + 6*r).
-4*r**3 + 6*r**2
Expand (1 + 3 - 3)*(3 + 2 - 7 + 2*x) + (-2*x - 2*x + 2*x)*(5 - 3 + 0).
-2*x - 2
Expand (-w**2 + w**2 - 4*w**2)*(2*w + 3*w - 3*w) - 4*w**3 - 4 + 4.
-12*w**3
Expand (3*s**4 + 1 - 1)*(3*s + 1 - 1) - 3*s**5 - s**5 + 3*s**5.
8*s**5
Expand -3*p - 2*p**3 + 3*p + (49 + 9*p**3 - 49)*(4 - 3 - 2).
-11*p**3
Expand 10*j**2 - 2 - 1 + 2*j**3 - 12*j**2 + (-2*j + 2*j - 2*j**2)*(0*j + 4*j - 5*j) + (j + 5 - 5)*(-4*j**2 + 2*j**2 + 3*j**2).
5*j**3 - 2*j**2 - 3
Expand (0*x**4 + 6*x**4 - 4*x**4)*(-5*x + 3*x + 3*x) - x**5 + 0*x**5 + 0*x**5 + (-6 + 6 - 13*x**2)*(2*x**3 + x**3 - x**3).
-25*x**5
Expand 0 - 2 - 4*v + v**2 + 3*v + (v - 1 + 1)*(2 - 2 - 2*v) - 2*v**2 + 2 - 2 - v**2 + 4*v**2 - v**2 - 7*v**2 + 3*v**2 + 2*v**2.
-3*v**2 - v - 2
Expand (5 - 2 - 1)*(3*f + 0*f - f)*(9*f - 14 + 14).
36*f**2
Expand (-15*j + 10*j - 16 + 6*j)*(1 - 1 - 1).
-j + 16
Expand s**5 - 173*s - 2*s**2 + 173*s + 3*s**3 + 2*s**5 - 3*s**3 + (-2*s**3 - 4 + 4)*(s**2 + s**2 - 4*s**2) - s**5 - s**5 + s**5.
6*s**5 - 2*s**2
Expand (-11*g**2 + 3*g**2 - 2*g**2)*(g**2 - 2*g**3 - g**2) + (0*g + 0*g + g)*(0*g**4 + 2*g**4 - 3*g**4).
19*g**5
Expand (-3 - 12 - 7)*(-3*x + 5*x + x).
-66*x
Expand -3*c**3 + 3*c**3 + c**4 + (3*c**3 + 2*c**3 - 4*c**3)*(2*c + c - 2*c) - c**4 + 30*c**2 - 28*c + 28*c.
c**4 + 30*c**2
Expand (4*s - 3*s - 2*s)*(3*s + s + s) + s**2 + 2*s**2 - 2*s**2.
-4*s**2
Expand (1 + 7*z - 1 + z + 5*z - 4*z + 0 + 0 - z + (-2*z + 0*z + 4*z)*(1 + 0 + 0))*(-2 + 2*z + 2).
20*z**2
Expand (-b**2 - 2*b**2 + 5*b**2)*(1 + 1 - 3)*(3*b + 0 + 0)*(2*b**2 - 3 + 3).
-12*b**5
Expand (a**2 - a**2 + a**2)*(-5 + 2 + 9)*(2 - 3 + 3)*(-1 - 2 + 1).
-24*a**2
Expand (-2 - 5*w**2 + 2)*(-2*w**2 + 3*w**2 - 2*w**2) - 2*w**4 - 3*w**3 + 3*w**3.
3*w**4
Expand -s - s + 4*s + (-3 + 4 + 0)*(-s + 0 + 0) + s - 3*s + 0*s - 5*s + 1 - 7*s + 35*s.
22*s + 1
Expand (-3 + 28*x**3 + 3)*(3*x - 1 - 7*x + 2*x).
-56*x**4 - 28*x**3
Expand -2*b - b - 3*b + (-b - 2 + 2)*(-2 - 3 + 7).
-8*b
Expand (-2 - 3 + 3)*(-15*s**2 + 38*s**2 - 3*s**2 + 2*s**2 - 5*s**2 + 2*s**2 + (-2*s**2 + 2*s**2 - 2*s**2)*(5 - 1 - 2) - 3*s + 2*s**2 + 3*s).
-34*s**2
Expand (0 + 1 - 2)*(3 - 3 - q)*((-2 + 3 - 3)*(3 - 3 + 4) + 1 - 3 + 4)*(-2*q**3 + 6*q**3 - 3*q**3).
-6*q**4
Expand (2*f**2 - 2*f**2 + 2*f**3)*(2*f - 1 + 1) + 3*f**2 - f**4 - 3*f**2 + 5*f**4 - f**4 - 2*f**4 - f - 2*f**2 - 3*f + 5*f + 3*f**4.
8*f**4 - 2*f**2 + f
Expand (-3 + 3 + 4)*(-3*b**2 - 3*b**2 + 12*b**2 + 1).
24*b**2 + 4
Expand (0*l + 4*l - 5*l)*(-5*l**2 + l**2 + 2*l**2) + 5*l**3 - 2 + 2.
7*l**3
Expand w**5 + 3*w**2 - 3*w**2 + 7*w**5 + 5*w**5 - 18*w**5 + (2*w**2 - 2*w**2 + 2*w**2)*(w**3 - 2*w**3 + 3*w**3).
-w**5
Expand (-3*w**2 - w**2 + 3*w**2)*(-108 + 108 - 39*w)*(-2 + 2 + 2*w).
78*w**4
Expand (0 + 2 - 3)*(3 - 5 + 0)*(c**3 - c**3 + 2*c**3).
4*c**3
Expand ((2*j - j - 3*j)*(-2*j - 2*j**2 + 2*j) - 11 - 6*j**3 + 11 - 4*j**3 + 4*j**3 - 2*j**3)*(j**2 - 2 + 2).
-4*j**5
Expand 4*p**2 - 9*p**2 + 19*p**2 + 4*p - 4*p - p**2 + (p - p + 2*p)*(-5*p + 0*p + 3*p).
9*p**2
Expand ((-4 + 2 + 1)*(3 - 1 + 0) + 2 + 2 - 3)*(-6*n - 5 + 5).
6*n
Expand 0*u**3 + 0*u**3 + u**4 + (-2 - 1 + 4)*(24*u**4 + u**4 - u**4).
25*u**4
Expand (-2*l + 3*l + 0*l)*(-4 + 4 + l**2 + (5*l - 3*l - 4*l)*(3*l + l - 3*l)).
-l**3
Expand (-3*l**3 + 2*l**3 - 2*l**3)*((2 + 3 - 2)*(5 - 1 + 2) + 7 - 3 - 3 + 2 - 4 + 4).
-63*l**3
Expand 2*l - 2*l + 2*l - 23*l**4 + (-l**3 + 0*l**3 - l**3)*(0*l - 3*l + l).
-19*l**4 + 2*l
Expand (-3 + 2*u + 3)*(2 - 10*u - 2).
-20*u**2
Expand -4 + 9 - 4 + 11*m + (m + m - m)*(-4 + 2 + 4) + 2 - 2 + 3*m.
16*m + 1
Expand -2*l + 3 - 3 + (-5 + 1 + 2)*(2 - 2*l - 2) - 2*l - 1 + l + 0.
l - 1
Expand (-s + s + s**2)*(-6*s**2 + 0*s**2 - 3*s**2).
-9*s**4
Expand (-1 + 2 - 10)*(5*y + y - 3*y).
-27*y
Expand -w**3 + 2*w**3 - 2*w**3 + (-3 + 3 + 2*w)*(3*w**2 + 3*w**2 - 4*w**2) - 24*w**3 + w + 14*w**3 + 31*w**3.
24*w**3 + w
Expand (-9*v - 10*v + 2*v)*(-4 + 4 - 4*v).
68*v**2
Expand (f + 0*f + f)*(0 - 4 + 0)*(-3*f - f + 3*f).
8*f**2
Expand 0*a + 2*a**2 + 0*a + (4*a**2 - a**2 - a**2)*(1 - 5 - 1).
-8*a**2
Expand (-1 + 6*i**2 + 1)*(2 - 2 - i)*(5*i - 6*i - 2*i)*(3*i - 4*i + 2*i).
18*i**5
Expand (-m + 0*m - m)*(1 - 2 - 1)*(-2 - 1 - 4).
-28*m
Expand (2*q - 3*q + 0*q + (-2*q + q + 3*q)*(1 + 1 - 3) + q + 20*q + 19*q - 3*q + 5*q - 4*q)*(-q**2 + 3*q**2 - 3*q**2).
-35*q**3
Expand (182*h + 83 - 91*h - 92*h)*(-3*h + 4*h - 3*h).
2*h**2 - 166*h
Expand (4*q - 4*q + q**4)*(1 - 2 + 0) - q**4 - q**4 + 0*q**4 - 4*q**3 + q**4 + 4*q**3 + 0*q**3 + 0*q**3 + 3*q**4 - 53*q**4 - 56*q**4 - 25*q**4.
-133*q**4
Expand ((4 + 3 + 0)*(1 + 2 - 4) + 0 - 1 + 0)*(4*v - 3*v + v).
-16*v
Expand -4*f**2 + 4*f**2 + 2*f**3 + (-1 + 1 + f)*(0*f + 0*f + f**2) - 5*f**3 + 4*f**3 - 3*f**3.
-f**3
Expand 3*a**2 - 3*a + 3*a + a**2 + 2*a**2 - 5*a**2 - a**2 - 2*a**2 + 5*a**2 + (2*a - 2*a + 2*a)*(0*a - a + 2*a) + a**2 + 1 - 1 + a**2 + 3*a**2 - 5*a**2.
5*a**2
Expand (-2*v + 0*v - 22 + 21)*(4*v - 2*v - 4*v).
4*v**2 + 2*v
Expand 2*r**2 + 3*r**2 - 3*r**2 + r**2 + 4*r**2 - 6*r**2 + 3 + r**2 - 3 + (0*r + r + r)*(-2*r + 3*r + 0*r) + 0 + r**2 + 0 - 70*r + 17*r**2 + 70*r.
22*r**2
Expand (-5*l**2 - 4 + l + 4 - 2)*(l**2 + 2*l - 2*l - 2 - 3*l**2 + 2 + l - l - l**2 + (3*l - l - l)*(-l + l + 2*l)).
5*l**4 - l**3 + 2*l**2
Expand (0*b**2 + b**2 + 4*b**2)*(-1 + 4 + 0).
15*b**2
Expand (o - 6*o + 4*o)*(1 - 4 + 2).
o
Expand (-19 - 10 + 2)*(d - d + 2*d).
-54*d
Expand 2 + 0 - n + 3*n + 3*n - 2*n + 0*n + (0 + 0 + 3*n)*(0 + 4 + 0).
15*n + 2
Expand (0 + 0 + 3)*(-1 - 3*u**2 + 1 + 2*u**2 - 5*u**2 + 5*u**2 + (0 - 3*u + 0)*(-1 + 1 - 2*u) - u**2 - u**2 + 4*u**2).
21*u**2
Expand 0 - q**3 + 0 + (6*q + 8*q - 7*q)*((5 - 3 + 0)*(3*q**2 + 3*q**2 - 4*q**2) - 2*q + 2*q**2 + 2*q).
41*q**3
Expand -3*j**3 + 3*j**3 + 2*j**5 + 6*j**5 + 11 - 11 + j**5 - 2*j + 2*j + (j**2 - j**2 + 2*j**3)*(3 - 3 + j**2).
11*j**5
Expand 11*w - 8*w**4 - 11*w + (-w + 2*w - 3*w)*(0*w**3 + w**3 + w**3).
-12*w**4
Expand (6*f**4 - f**3 + f**3 + (-f + 1 - 1)*(f**3 + 0*f**3 + 0*f**3))*(-1 + 3 + 1).
15*f**4
Expand (-1 + t**3 + 1)*(3 - 1 - 4) + (2*t**3 - 3*t**3 - 2*t**3)*(4 - 1 - 4).
t**3
Expand (0*l + 11 - 34 - l)*(-5*l**2 - 4*l**4 + 5*l**2).
4*l**5 + 92*l**4
Expand (-f - 7*f + 2*f)*(-2 - 1 + 1).
12*f
Expand 2 - 6*v + 4*v + v + (-v - 3*v + 5*v)*(-3 + 0 + 1) + 3*v - 3*v - v.
-4*v + 2
Expand (1 - 1 - 3*u)*(2*u - 10*u + 3*u).
15*u**2
Expand -3 - 2*h**3 + 3 + (2*h**2 - h**2 + h**2)*(-h + 2*h - 3*h) + 2*h**3 + 0*h**3 + 0*h**3 + 2*h**3 - h**3 + 0*h**3.
-3*h**3
Expand (0*z + z**2 + 0*z)*(0*z**3 - 4*z**3 + 5*z**3) + 1 - 2*z**5 - 1.
-z**5
Expand (2 + 1 - 1)*((-12 - 9 + 10)*(3*t + 4*t - 5*t) - 6*t + 2*t + 2*t).
-48*t
Expand (-2 + 2 - 5*p)*(3 + 2 - 4) + (0 + 0 - 2*p)*(3 - 1 - 1).
-7*p
Expand (24*m**4 + 10 + 19*m**4 - 44*m**4)*(-3 + 3 + 3*m).
-3*m**5 + 30*m
Expand (0*q + 0*q + 2*q**2 + (-2*q + 4 - 4)*(0*q - 2*q + 4*q) - 3*q**2 - 3*q**2 + 5*q**2 - q**2 - 2 + 2)*(-q**3 - 4*q**3 + 3*q**3).
8*q**5
Expand (-s**2 - 3*s**2 + 2*s**2)*(-41*s + 20*s + 13*s).
16*s**3
Expand (2*s - 3*s - s)*(3*s + 3*s - 4*s) + (1 + 5 + 2)*(4 - 4 + 3*s**2).
20*s**2
Expand -3*j - j**2 + 3*j + (1 - 1 - j)*(4*j + 4 - 7*j - 2).
2*j**2 - 2*j
Expand (-9*i**2 + 9*i**2 - 32*i**3)*(2 - 2 + i).
-32*i**4
Expand (4*h - 5*h + 0*h)*(0*h**3 + 2*h**3 - h**3) + 0*h**4 - 5*h**4 + 3*h**4 + (2*h**4 - 2*h**4 - h**4)*(1 + 2 - 2) + 3 + 3*h**4 - 3.
-h**4
Expand (-9*f - 1 + 0*f + 0)*(0*f**3 + f**3 - 3*f**3).
18*f**4 + 2*f**3
Expand (-7*h**3 + 0 + 1 + 0)*(-3 + 2 + 2).
-7*h**3 + 1
Expand -k**5 - 3*k**5 + 0*k**5 + (k + 0*k + k)*(6*k**4 + 4*k - 4*k).
8*k**5
Expand (17*b + b - 11*b)*(3*b + 0*b + b).
28*b**2
Expand (4*t**2 - 4*t**2 + 4*t**3)*(-3*t**2 - 2*t + 2*t + t).
-12*t**5 + 4*t**4
Expand (-n + 2*n + 0*n)*(-2*n + 0*n + 3*n) + 2*n**2 - n**2 + n**2 + 47 - 47 - 7*n**2.
-4 | {
"pile_set_name": "DM Mathematics"
} |
(-12)/(-10). Sort 44, -1, b in ascending order.
-1, b, 44
Suppose -j + 14 = -9. Suppose -8 = 5*a - j. Let w be 72/(-15) + (-2)/10. Put w, a, -4 in descending order.
a, -4, w
Suppose -25 - 2 = z. Let c be z/63 + 54/28. Sort -1/6, c, -4 in ascending order.
-4, -1/6, c
Let q be ((-1)/(-2))/(2/8). Suppose -5*f + 23 + 2 = -w, f = 5*w - 19. Let h be 170/(-30) + 4/f. Sort h, q, 3 in increasing order.
h, q, 3
Let f(k) = k**2 + 5*k + 2. Let m be f(-3). Suppose 4*o = z + 4, 2*o = 5*o - 4*z + 10. Put m, o, -1, -6 in increasing order.
-6, m, -1, o
Let y be (1/3)/((-1)/45*-3). Suppose -3 = w - 2*g, -w - 4*g + y = 8. Suppose 10*d - 5*d + 25 = 0. Sort 3, d, w.
d, w, 3
Let z = -65.2 + 63.2. Let y be 2/(-3) + 39/(-9). Sort 0.1, z, y in descending order.
0.1, z, y
Suppose 2*z + 32*z + 136 = 0. Put z, -5, -0.001, 4 in decreasing order.
4, -0.001, z, -5
Suppose 2*h + 34 = 4*c, -15*c - 54 = -19*c - 2*h. Sort c, -21, 1 in ascending order.
-21, 1, c
Suppose 2*p + 3*t = 23, -4*t + 2*t = p - 14. Let d(u) = p*u + 0*u**2 + 6*u + 0 + u**2 + 5. Let a be d(-9). Sort a, 0, -5 in descending order.
0, a, -5
Let x = 20.5 + -20. Let r = 0.11 - -3.89. Put r, x, -0.5 in descending order.
r, x, -0.5
Suppose -2*f - l - 45 = 4*l, 0 = -4*l - 20. Let s = 51 + -52. Put -5, f, 1, s in descending order.
1, s, -5, f
Let r = 4.03 + -0.03. Let y = 0.201 + 0.199. Let x be (4/54)/((-3)/(-9)). Sort r, x, y in decreasing order.
r, y, x
Let d = -3 + 3. Let f = 185.5 - 186. Put 1/8, f, d in ascending order.
f, d, 1/8
Let d(m) = m**2 + 3*m - 7. Let p be d(-7). Suppose p + 6 = 9*v. Suppose -4 = -5*y + 2*g, 4 = 4*y + g - 7. Sort v, y, -4.
-4, y, v
Let h(z) = -z**2 - 6*z - 6. Let b be h(-5). Let i be (0 - b) + (-16)/12. Sort 0.3, -0.7, i.
-0.7, i, 0.3
Let q = 32 + -26. Let m = q - 2. Put -1, -8, m in decreasing order.
m, -1, -8
Let r = -0.043 - -29.043. Let h = r - 29.1. Suppose 0*i + 4*i = y - 9, -3*i = -2*y + 3. Sort y, 0.1, h in descending order.
0.1, h, y
Let n = -69 - -121. Let f = -25 + n. Let l = f + -30. Sort 2, l, -2 in increasing order.
l, -2, 2
Suppose 3*h + 10 = 4*p, 26*p - 27*p - 5 = 0. Put 0, 4, 5, h in descending order.
5, 4, 0, h
Suppose -y = 5*v - 17, 44*v + 2*y + 26 = 49*v. Sort -3, -5, -1, v in increasing order.
-5, -3, -1, v
Suppose 47*c = 50*c - 12. Let n be -3 + 27/(-2)*(-1)/c. Let y = -0.1 - -0.3. Put y, n, -3 in decreasing order.
n, y, -3
Let q = -0.01 - 1.63. Let f = 0.04 + q. Let g = f + 1.3. Put 0.5, g, 0.2 in increasing order.
g, 0.2, 0.5
Suppose -9*g - 1924 = -2032. Put g, -2, 3, -4 in ascending order.
-4, -2, 3, g
Let s be 2/(-4) - 55/22. Let b = -4 + 3.9. Put b, 0, s in descending order.
0, b, s
Suppose 2 = 3*h + x, -x = -48*h + 45*h - 2. Sort 1, h, -3, 3 in descending order.
3, 1, h, -3
Let x = 0.3 - 0.2. Let i = 68 + -67.6. Put x, -1.5, i in increasing order.
-1.5, x, i
Suppose 486 = -4*d - 5*d. Let s = 59 + d. Sort -2, 3, 1, s.
-2, 1, 3, s
Let z = 1.29 - 2.29. Let f = 4/35 + 34/315. Put z, f, 3 in decreasing order.
3, f, z
Let p be 3281/1158 - 1/3. Let o = 4843/5826 - -2/971. Sort 0.5, o, p.
0.5, o, p
Let o(s) = 25*s - 753. Let d be o(27). Put -6, 2, d in increasing order.
d, -6, 2
Suppose -88 = -z - 84. Sort z, 2, -9 in increasing order.
-9, 2, z
Let q = -0.11 + -4.89. Let y = 18 - 16.2. Let z = y + -2. Sort z, q, 0.3.
q, z, 0.3
Let i(d) = -37*d - 1. Let j be i(2). Let q = 74 + j. Sort -3, q, 5, 4 in descending order.
5, 4, q, -3
Suppose 209 = 4*v - x - 69, -2*v + 4*x + 146 = 0. Let t = 36 - v. Let i be (11/t)/((-6)/(-4)). Put 1/4, i, -0.5 in decreasing order.
1/4, i, -0.5
Let v(i) = -i**3 + 5*i**2 - i - 17. Let d be v(4). Sort -2, d, 13, 2 in decreasing order.
13, 2, -2, d
Let h = 7 - 3. Let k(b) = -b + 5. Let t be k(h). Suppose -a + 12*j - 10*j + 9 = 0, 0 = 4*a - 5*j - 30. Sort t, a, 7 in increasing order.
t, a, 7
Let s = 8 - 3. Let p = 2 - s. Let r = 2/149 - 320/1639. Put p, r, -4 in increasing order.
-4, p, r
Suppose 3*z = -2*z. Let k = 23.445 - 23. Let s = k + 0.055. Sort z, s, 0.1 in descending order.
s, 0.1, z
Suppose -s - 3 = 0, -z + 2*s + 61 = 7*s. Suppose -z + 84 = 4*t. Let n be 1*((-6)/4 + 0). Sort t, n, 3 in ascending order.
n, t, 3
Let c = -536 + 536. Sort -1, -4, 8, c.
-4, -1, c, 8
Let y(n) = 4*n**3 + 5*n**2 - n - 3. Let u be y(-4). Let p be 3/1 + u/63. Let d be -1 - (10/(-3))/2. Sort d, p, -2.
-2, p, d
Let v be 2*((-483)/(-6) - 10). Put 2, -1, v in ascending order.
-1, 2, v
Let y = 0 + -4. Let g(m) = -m**3 - 23*m**2 + 52*m + 54. Let j be g(-25). Sort -3, y, 3, j.
y, -3, 3, j
Let s = 0.71 + -4.71. Put -1/5, s, 29 in descending order.
29, -1/5, s
Let t be 2 + (8/16)/((-4)/(-8)). Put 0, 4, 5, t in descending order.
5, 4, t, 0
Let r = 77 - 79. Put r, -4, -34 in decreasing order.
r, -4, -34
Let c = -20 + 20. Suppose -6*x = 3*n - 2*x, c = 5*n + 5*x + 5. Sort 0, 7, n in increasing order.
n, 0, 7
Let z(x) = x**3 + x**2 - x + 11. Let j be z(-3). Put j, 10, -16 in descending order.
10, j, -16
Let i = 862 - 859. Sort i, -2, 0.07, 4 in decreasing order.
4, i, 0.07, -2
Let d be ((-1092)/70)/(2 + 12/(-5)). Suppose -2*h = -2 - 4, -5*h = -4*l - d. Put -1, 3, -4, l in increasing order.
l, -4, -1, 3
Let s = 32.4 + -28.4. Sort -2, 0.4, s, 6.
-2, 0.4, s, 6
Let v(h) = -h**3 + 4*h**2 - h - 5. Let u be v(3). Let m be u*6/9 - 51/63. Sort 1/4, m, -2 in ascending order.
-2, m, 1/4
Let b be -2 + 2 - (-2)/3. Let x = -137/385 - -51/55. Sort x, 1/3, b in increasing order.
1/3, x, b
Let x(z) = -z**3 - 13*z**2 - 31*z - 7. Let r be x(-10). Let f be (r - (-9)/(-15)) + -2. Put f, -0.4, -2, 1 in descending order.
1, f, -0.4, -2
Let x(v) = -v**3 + 9*v**2 - 9*v + 11. Let m be x(8). Suppose 4*y - 8 = 3*y - 2*c, 0 = 3*y - 5*c + 20. Put m, -2, y, 1 in decreasing order.
m, 1, y, -2
Let c(d) = -d + 0*d + 2*d**2 - d**2 - d + d**3. Let x be c(-2). Let y be x + (-2 - 1) + 7. Put 2, y, -1 in descending order.
y, 2, -1
Let w = 686/21717 + 4/1143. Sort -2, 2, w, -2/13 in descending order.
2, w, -2/13, -2
Let w = -3.6 - -4. Let x = 5.85 - 7.2. Let q = x + 1.15. Sort q, -5, w.
-5, q, w
Suppose 19 = -19*s - 38. Let u = -0.006 + -24.994. Sort s, -2/3, u, 2.
u, s, -2/3, 2
Let a = 0.001 - -0.056. Let k = a + -0.007. Sort k, 0.3, 0.2, -2/3.
-2/3, k, 0.2, 0.3
Let q = -4.5 + 2.9. Let b = q + 1.54. Sort 0.2, b, 2, -0.3 in increasing order.
-0.3, b, 0.2, 2
Let z be 2/4 + (-555)/990. Let x = 5.97 - 1.97. Sort 1, z, x in decreasing order.
x, 1, z
Suppose -5*z + 4*v + 5 = 0, -9*v = -5*z - 7*v + 15. Let n = -13 + 9. Let t = n - -4. Put -6/11, z, t in ascending order.
-6/11, t, z
Suppose 3*q + 3 = -3*j, 0*j + 10 = 2*j - 2*q. Let h be 0 - (j - 2) - 3. Put -7, h, 1 in decreasing order.
1, h, -7
Suppose 1 = -s + 5*x + 3, -3*s - 5*x + 106 = 0. Suppose -6*i = -s + 3. Put 33, -4, 3, i in increasing order.
-4, 3, i, 33
Let g(y) be the first derivative of -2*y**3/3 - 3*y**2/2 - 2*y - 15. Let p be g(-2). Put p, -2, -3 in decreasing order.
-2, -3, p
Let f = -54 + 52. Suppose d + 4*r + 10 = 0, 2*r = 4*d - d - 12. Sort f, -6, d.
-6, f, d
Let q(z) = -2*z**3 - z**2 - 4*z - 3. Let o be q(-2). Let u = o + -23. Sort 0, u, -1 in decreasing order.
0, -1, u
Suppose -d = 3*y + 15, 15 = 4*d - 3*y - 0. Put d, 7, -4, 2 in decreasing order.
7, 2, d, -4
Let p = 0.6 + -1.7. Let h = p - -1.3. Let i = 82 + -81.95. Sort h, i, 3 in decreasing order.
3, h, i
Let c = -0.31 - -0.319. Let u = c + 0.011. Suppose -13 = w + 5*n, 25 - 4 = -5*w - 3*n. Put w, u, 0 in decreasing order.
u, 0, w
Let z = 49 - 48. Sort -25, 0.4, z.
-25, 0.4, z
Let v be (6/(-4))/(9/24). Let p(x) = 2*x**2 - x - 6. Let d be p(-2). Let t be (d + -7)*(1 - 0). Sort -1, v, t in descending order.
-1, t, v
Let g = 14 - 14. Let r be 3/2 + 3/(-6). Let a = 771 - 766. Sort a, g, r in decreasing order.
a, r, g
Let y = 10/3 - 14/3. Let i(w) = w - 1. Let n be i(-1). Put y, -3, n, 4 in ascending order.
-3, n, y, 4
Let k(h) = 6*h + 1. Let z(w) = -w**2 + 2. Let b be z(2). Let j be k(b). Let p = j - -6. Put 1/2, 0, p in decreasing order.
1/2, 0, p
Let h be 6 + (-4)/8*14. Put -2, 1, h in decreasing order.
1, h, -2
Let w be 2 - ((-7123)/(-1602) - 2). Let n = -1/534 - w. Sort -2, -3, n in decreasing order.
n, -2, -3
Let o = 1667 - 1669. Sort -1/3, -113, o, -4 in decreasing order.
-1/3, o, -4, -113
Let n = -4 + 7. Suppose 4*t = -0*t + 96. Let m be (2/16)/((-12)/t). Sort m, n, -1 in decreasing or | {
"pile_set_name": "DM Mathematics"
} |
4984
Calculate the lowest common multiple of 6432 and 6432.
6432
What is the common denominator of 11/854 and -53/41968?
293776
Calculate the lowest common multiple of 7590 and 22.
7590
Calculate the least common multiple of 7915 and 11081.
55405
Calculate the common denominator of 57/220 and 43/3340.
36740
What is the least common multiple of 72 and 2406?
28872
What is the common denominator of -13/3000 and -41/42?
21000
Calculate the lowest common multiple of 2750 and 250.
2750
What is the least common multiple of 6361150 and 4?
12722300
What is the common denominator of -36/29 and 7/318826?
318826
What is the least common multiple of 18734 and 850?
468350
What is the common denominator of -13/193496 and -26/21?
4063416
What is the common denominator of -28/11097 and -20/471?
1742229
What is the common denominator of -28/490265 and 65/4?
1961060
Calculate the lowest common multiple of 258 and 68886.
68886
Find the common denominator of 83/8228 and 65/476.
57596
Calculate the least common multiple of 296 and 17080.
631960
Find the common denominator of 23/1640 and -5/71.
116440
Calculate the common denominator of 73/135 and 19/398868.
17949060
Calculate the least common multiple of 8294 and 88.
33176
What is the common denominator of -27/422 and 29/3376?
3376
What is the common denominator of 137/1561092 and -52/21?
10927644
Find the common denominator of 28/9 and -151/575484.
1726452
Calculate the common denominator of -47/17005 and -61/2055.
6989055
What is the smallest common multiple of 64 and 20400?
81600
Find the common denominator of -46/105 and 155/8862.
44310
Calculate the common denominator of 23/4 and 79/3800.
3800
What is the lowest common multiple of 74142 and 864?
1186272
What is the smallest common multiple of 185415 and 55?
2039565
What is the least common multiple of 6104 and 387604?
775208
What is the least common multiple of 55804 and 183356?
1283492
What is the least common multiple of 256122 and 113832?
1024488
Calculate the least common multiple of 3210 and 10.
3210
Find the common denominator of -13/36292 and 79/10.
181460
What is the lowest common multiple of 652358 and 60302?
7175938
What is the common denominator of 81/86278 and 65/2169?
776502
What is the common denominator of -117/35290 and -56/95283?
952830
Find the common denominator of -37/36518 and 67/2.
36518
What is the lowest common multiple of 5376 and 378?
48384
Calculate the smallest common multiple of 253 and 138314.
3181222
Calculate the smallest common multiple of 2304 and 160128.
320256
Calculate the common denominator of -107/110 and 49/12430.
12430
Calculate the common denominator of -107/21250 and 179/63750.
63750
Calculate the common denominator of 93/608 and 91/22800.
45600
Calculate the common denominator of 127/8480 and 37/530.
8480
What is the lowest common multiple of 4818 and 5?
24090
Find the common denominator of 61/63 and 55/423534.
8894214
Calculate the common denominator of 34/1005 and 109/37830.
2534610
Calculate the common denominator of 41/2068 and 19/14664.
161304
Calculate the smallest common multiple of 4563 and 264654.
264654
Find the common denominator of -81/91924 and -9/34.
1562708
Calculate the common denominator of 5/34008 and 43/21.
238056
What is the common denominator of 199/11130 and -151/24486?
122430
Calculate the common denominator of 109/1786 and -17/136582.
2595058
What is the lowest common multiple of 16 and 267158?
2137264
What is the smallest common multiple of 360 and 596358?
11927160
Find the common denominator of -41/4252 and -101/48.
51024
Calculate the common denominator of -9/28 and -19/258272.
258272
What is the smallest common multiple of 196 and 112728?
789096
Calculate the least common multiple of 12450 and 90.
37350
What is the least common multiple of 72 and 65163?
1563912
Find the common denominator of 1/2345 and -32/134335.
940345
What is the common denominator of 121/2190 and -35/438?
2190
Calculate the lowest common multiple of 198 and 9845.
177210
Calculate the smallest common multiple of 42 and 121944.
853608
What is the lowest common multiple of 12600 and 60?
12600
Calculate the common denominator of 1/10 and -55/497408.
2487040
What is the least common multiple of 32472 and 25256?
227304
What is the common denominator of -2/55 and -24/2477?
136235
Find the common denominator of 39/407930 and -51/1444.
815860
What is the lowest common multiple of 7436 and 351?
200772
Calculate the least common multiple of 325 and 10556.
263900
What is the smallest common multiple of 192928 and 176?
2122208
What is the common denominator of -14/15 and -2/56127?
280635
Calculate the least common multiple of 907218 and 46524.
1814436
What is the lowest common multiple of 47 and 113928?
113928
What is the common denominator of -64/9753 and -67/60?
195060
What is the smallest common multiple of 4640 and 10208?
51040
What is the common denominator of -185/62244 and -61/66?
684684
What is the common denominator of 70/14739 and -28/354603?
6028251
Calculate the lowest common multiple of 40 and 2370.
9480
What is the common denominator of -25/133716 and -45/44?
133716
Find the common denominator of 16/3575 and -43/455.
25025
Calculate the smallest common multiple of 76538 and 54670.
382690
Find the common denominator of 45/763 and 11/14287.
1557283
What is the common denominator of 62/10965 and -71/2805?
120615
Find the common denominator of -71/252 and -145/10752.
32256
Calculate the least common multiple of 9165 and 247455.
247455
What is the least common multiple of 250 and 198?
24750
Calculate the lowest common multiple of 7058 and 64.
225856
Find the common denominator of -79/4 and 49/421548.
421548
What is the smallest common multiple of 5 and 8476?
42380
Find the common denominator of -67/54 and 107/324.
324
What is the least common multiple of 56 and 280?
280
Find the common denominator of -41/386 and -85/1544.
1544
Calculate the common denominator of 73/42330 and 93/680.
169320
Calculate the lowest common multiple of 16 and 431192.
862384
Calculate the common denominator of -87/418 and 103/266342.
2929762
What is the smallest common multiple of 24684 and 1815?
123420
Calculate the common denominator of 53/2178 and 107/10476.
1267596
What is the lowest common multiple of 11440 and 1300?
57200
Calculate the common denominator of 131/60 and -41/15376.
230640
What is the common denominator of 23/2877 and -16/20139?
20139
Calculate the common denominator of 49/173328 and 7/2208.
346656
Calculate the least common multiple of 742 and 56.
2968
Calculate the common denominator of -17/63 and -173/60858.
60858
What is the common denominator of -1/112 and -47/492?
13776
Calculate the smallest common multiple of 738 and 226566.
226566
Calculate the lowest common multiple of 2922 and 9.
8766
Calculate the smallest common multiple of 35786 and 8.
143144
Find the common denominator of -67/62686 and 11/2.
62686
What is the smallest common multiple of 22 and 37430?
411730
Calculate the smallest common multiple of 11898 and 178470.
178470
Calculate the common denominator of 89/35925 and 28/107775.
107775
Calculate the least common multiple of 861 and 330.
94710
Calculate the smallest common multiple of 3 and 8323.
24969
What is the least common multiple of 3114 and 3633?
21798
Calculate the common denominator of 83/8730 and 63/14744.
663480
Calculate the least common multiple of 390 and 37986.
189930
What is the common denominator of -5/6 and 91/67874?
203622
What is the lowest common multiple of 5200 and 514400?
6687200
Calculate the common denominator of -37/180 and -7/160.
1440
Find the common denominator of 31/78904 and -97/22544.
157808
Calculate the smallest common multiple of 105012 and 35004.
105012
Calculate the least common multiple of 188064 and 23508.
188064
What is the smallest common multiple of 234156 and 208?
936624
Calculate the common denominator of 61/704 and -67/11340.
1995840
Calculate the smallest common multiple of 60 and 29262.
292620
Calculate the lowest common multiple of 4448 and 164.
182368
What is the common denominator of -81/661220 and -137/198366?
1983660
What is the smallest common multiple of 1727244 and 21?
12090708
What is the least common multiple of 716240 and 2558?
716240
Calculate the | {
"pile_set_name": "DM Mathematics"
} |
2
Calculate -1 + 7 + 0 - (19 + (-4 - 2)).
-7
Evaluate -28 + (-2 - 8) + 53.
15
Evaluate 11 + (-2 - 3) + -8 - (-8 + 1).
5
Evaluate -13 + 7 + (-2 - 4).
-12
Calculate (1 - 0) + (7 - 8) + 502 + -511.
-9
Evaluate 0 + -3 + (4 - -1 - 10 - -5).
-3
Calculate -2 + -16 + 10 + 8.
0
14 - (7 + 6) - (27 + -3)
-23
45 + -8 + -22 + 1
16
10 + (-6 - (-9 - -13))
0
Calculate 58 + -70 - (-15 + 3).
0
Evaluate 1 + -20 + (-4 - 12 - (-14 - 3)).
-18
What is the value of (-6 - 12) + 19 - (-1 - 10)?
12
What is the value of 12 + -5 + (1 - (-5 + 3)) + -4?
6
What is the value of 0 + -9 + 24 + (-20 - -29)?
24
What is (-5 - (-3 + -7 + -4)) + 5 + -1?
13
Calculate -4 - ((9 - 3) + -5) - 4.
-9
Calculate 13 - (1 + (17 - (2 - 1 - -5))).
1
Evaluate (23 - (3 - -29)) + (0 - 2 - 0).
-11
-6 - (-20 + (-1 + -5 - -13))
7
What is the value of -34 + 35 + (0 - 1 - 8)?
-8
What is 5 - (-14 - -22 - (-8 + -1))?
-12
What is the value of (3 - (-13 + 11)) + (-6 - 15)?
-16
12 + -1 - (29 - (-24 - -38))
-4
2 - (4 + 0 + 17 + -24)
5
24 + -4 - (3 + 6)
11
-14 - (10 + 0 + (-100 - -95))
-19
Calculate 57 + 62 + -120 - (0 + 13).
-14
Calculate -43 + 41 + (4 - (-1 + -2 + 1)).
4
Evaluate -16 + (1 - -2) + (-33 + 11 - -26).
-9
-4 - (8 + -4 - (1 - -16)) - -8
17
Calculate -12 - -19 - 13 - 3 - -12.
3
2 + 15 - (41 - (1 + 35))
12
What is -4 - ((14 - 9) + -9 + 0 + 14)?
-14
Calculate 5 + (3 + -3 + 1 - (-5 - 2)).
13
Calculate 3 + -4 - 7 - (-72 + 81).
-17
Evaluate 11 - 4 - (-17 - -30) - (-3 - -10).
-13
Evaluate (-13 + 4 - -5) + -19 + 17.
-6
(3 - 16) + -22 + 15
-20
Calculate (-3 + 10 - (-17 - -8)) + -9.
7
What is the value of 14 + (-15 - (-9 - (-1 - -6)))?
13
What is -15 - (-20 - -6) - 11?
-12
What is -2 + 2 + (9 - -1) - (58 + -19)?
-29
Evaluate -30 + (-1 + -16 - -16).
-31
What is 27 + (-24 - 3) - 23?
-23
What is 5 + (-3 - 0) - 19?
-17
What is the value of (3 - (-4 - (-4 - -13))) + -7?
9
Evaluate (2 - (7 - 8)) + 1 + -7.
-3
(-672 - -704) + (-1 - 41)
-10
Evaluate (-171 - -171) + (19 - -2).
21
118 + -144 + (5 - 9)
-30
Evaluate 4 + (4 - -1) + (8 - 38).
-21
Calculate -3 - (-6 + (2 - (-4 - 0))).
-3
Evaluate -2 + 11 - (19 - (18 + -6)).
2
28 - (-54 - -35 - -35)
12
What is (-2 - (20 + -33)) + -12?
-1
What is the value of 2 - 14 - (-9 - (-18 - -13))?
-8
What is (-1 - (-1 - 0) - (-2 - -2)) + 2?
2
Evaluate 235 - 236 - (1 - -7).
-9
What is the value of 11 + -5 + (-12 - -1) + -36 + 34?
-7
Calculate -2 + 1 - (105 + (119 - 256)).
31
(15 + -9 - 13) + -24 - -13
-18
What is (2 - -3) + -8 + 21 + -11?
7
What is the value of (14 + 3 - (-2 + 11)) + (4 - 2)?
10
What is the value of ((8 - (-1 - -3)) + 0 - 20) + -1?
-15
2 + 0 + 1 + (-5 - (3 - 7))
2
What is 17 + -4 + (-12 - -27) + -9?
19
Calculate 10 + (29 - 15 - 0 - 4).
20
What is (-9 - (0 + -1)) + 9 + -20 + 2?
-17
(24 - 25) + 20 + -19
0
What is the value of (-14 - -43) + (9 - 12) + -4?
22
Evaluate (-1 - 3) + -2 + -196 + 187.
-15
Evaluate 15 - 0 - (-30 - -30 - -9).
6
What is 6 + -15 - ((1 - 12) + 2)?
0
-7 + (-6 - (3 - 17)) + (-4 - -7)
4
Evaluate (18 - (-5 + 6)) + (12 - (9 + -7)).
27
What is the value of 20 + (8 - (-1 + 3) - 6)?
20
Evaluate (-11 - -31) + (-17 - -7).
10
What is 6 - (-8 - 0 - (-95 + 89))?
8
What is 15 + -13 + 26 + -8 + -5?
15
13 + 6 + -25 + 8
2
Evaluate 18 - (6 - (5 + -9 - -4)).
12
6 + -19 + (-8 + 5 + 5 - -1)
-10
Calculate -17 + -1 + (21 - (24 + -10)).
-11
Calculate -4 + -12 + (-31 - -31).
-16
2 + -10 - -3 - (-16 + 30 + -30)
11
What is (-2 + 4 - -2 - -13) + (12 - 14)?
15
Evaluate 21 - (-9 + (29 - 5) + -17).
23
What is (8 - -7) + (-3 - (5 + -3))?
10
5 - (0 - 11 - (-22 + 3 + 22))
19
Calculate -19 + -9 + (9 - -22).
3
Evaluate (-10 + 23 - 11) + -16.
-14
What is (7 - 2) + -8 + 9?
6
Evaluate 747 + -777 - (1 + -39).
8
Evaluate 1 + 15 - (-6 - (11 - 13) - -5).
15
What is the value of (-20 - 1) + -11 + 18?
-14
Calculate -19 - (-29 + 6 + 21).
-17
Evaluate 1 + -1 + 0 + (-9 - (8 - 13)).
-4
Calculate -12 - (3 + -3 + -2 - (-2 + 6)).
-6
What is -5 - (12 - 18) - 2?
-1
What is 9 + 1 + (-10 + 18 - 16) - -4?
6
Calculate (12 - (-27 + 9)) + -7.
23
Calculate -1 - -15 - (178 + -165) - (-15 + -2).
18
-5 + (-13 - -16) + 4
2
What is -54 - -55 - (5 + 23 + -5)?
-22
13 + 43 + -9 + -47
0
Calculate (-69 - -85) + -1 + 1.
16
What is the value of (14 - (6 + -6)) + -24?
-10
What is the value of (-26 - -9) + 24 - (12 - -3)?
-8
What is the value of -3 - (-2 - (-3 - -11))?
7
What is the value of 23 - (21 + -18) - 9?
11
Calculate -12 - (-12 + -9) - 24 - (-6 - 0).
-9
Evaluate -5 + (43 + -26 - 7).
5
Evaluate 1 + 0 + -17 + (30 - 33).
-19
15 - 12 - (0 - -6) - (-12 + 10)
-1
Evaluate -4 - (10 - 17 - -1).
2
Calculate 25 - ((-11 - (15 - 10)) + 16).
25
What is -170 - -204 - (-1 - -12)?
23
Calculate -22 + 12 - (3 - 2) - (0 + -2).
-9
Calculate -9 - (-7 + 4 + (-30 - -32)).
-8
Calculate -4 - (-42 - (-4 + -11 + -1)).
22
What is the value of -9 + 5 + 3 + -2 + -9?
-12
What is the value of (-2 - (10 + -12 - -9)) + -15?
-24
What is 4 + (3 + -4 - 2) + -14 + 1?
-12
Evaluate 2 + -4 + 1 + (1451 - 1418).
32
5 + -5 - (19 - 31)
12
What is 30 - (-9 - (21 + -52))?
8
What is (-1 - (-2 + 4)) + (-49 - -18 - -21)?
-13
-4 - 0 - (16 + -15 + 12)
-17
Evaluate 10 + -1 + 8 + (-5 - (-5 + 7)).
10
Evaluate -26 + 7 + 2 + -4 + (-1 - -7).
-15
Evaluate (-1 - 3) + (-109 - -115) + 0.
2
What is the value of -2 - 3 - (-4 + -3 + -19 + 18)?
3
What is the value of 6 - ((0 - -1) + -6 + (30 - 17))?
-2
What is -126 + 117 - (0 - 5) - -19?
15
Evaluate -1 - (8 - 6 - -6) - -19.
10
What is the value of (60 - 73) + (1 - -6) - (-2 - 2)?
-2
What is the value of -22 - (25 - 18 - -10 - 16)?
-23
Calculate -14 - (11 + -11) - -14 - 1.
-1
What is -10 + 3 - (374 + -389)?
8
What is the value of (-7 - -12) + -5 - (-4 - -4 - 3)?
3
-1 + 9 + -118 + 37 + 45
-28
What is -12 - ((-26 - 3 - -16) + 14)?
-13
-12 + 11 + -15 + -8 + 0 + 14
-10
Evaluate 8 + 22 + -20 + (-2 - 11).
-3
What is -18 + -3 + (1 - (19 + -10))?
-29
What is 7 - 17 - -4 - 0?
-6
What is the value of -6 - 0 - (-7 + (-12 - -1))?
12
What is 27 - (-1 - -26) - (-3 - (3 + 1))?
9
What is the value of -10 - 0 - (41 + -59)?
8
Evaluate 33 + (-59 - (26 + -45)).
-7
Evaluate -6 - ((-11 - -3) + -9).
11
Evaluate (-1 - -14) + 0 + -311 + 308 + -5.
5
What is the value of (-26 - (-11 + -3 + 1)) + (2 - 2)?
-13
Evaluate -15 - (6 - 11) - (68 + -70).
-8
Evaluate 5 - (6 - 15 - (1 - 16)) - -19.
18
What is the value of (48 - 43) + (-7 - 1) - (0 - 6)?
3
What is 20 + -22 + 8 + 0 - 4?
2
Evaluate (-5 - -8 - 4) + 13 - 10.
2
Evaluate -12 + 14 + -6 + 16.
12
What is 3 + 14 + (-9 - 4) + -19 + 2?
-13
Evaluate (22 - 8) + -18 + 21.
17
What is -6 + 27 - (-164 - -156)?
29
Evaluate 17 - (-81 - -81 - (1 - -7)).
25
-13 + (9 - 8) + (5 - 0)
-7
Calculate 10 - 1 - 0 - -2.
11
What is -2 + 8 - (22 + (-18 - -11))?
-9
What is (-12 - -7) + 1 + 4 + 0 - 3?
-3
What is -6 + 0 + (12 - (9 + 4)) - 9?
-16
(-90 - -76 - -24) + (-17 - (-1 + 2))
-8
Calculate 1 - (-10 + 3 + 0 - -14).
-6
-19 - (14 + -16) - -12
-5
Calculate 134 - 171 - (-59 + -1).
23
Evaluate 46 + (-47 - (-3 + -25)).
27
Calculate (16 - -3) + -16 + (-22 - 3).
-22
What is the value of (-36 - -46) + (-4 - -2)?
8
Calculate -2 - ((-10 - 0) + 0) - (361 - 357).
4
-31 + -26 + (20 - -31)
-6
What is the value of -4 + 5 + (2 + -4 - (3 - 13))?
9
What is (0 - 3) + (15 - 28) + 1?
-15
Evaluate (-1 - -6) + 109 + -129.
-15
(-9 - -15) + (2 - (-2 - -4) - 1)
5
Calculate 7 - (2 + 4) - (-3 - 21) - 10.
15
What is the value of -12 + (-15 - (-16 - 10))?
-1
What is the value of 27 + (0 - -8 - (-41 + 24 - -35))?
17
What is the value of (-3 - (5 + -9)) + (-13 - 1)?
-13
What is the value of (-63 - -64) + (-1 - 2) + 17 + -10?
5
Calculate (-7 - (7 + -39 - -14)) + 10.
21
What is 17 + (1 + -6 - (3 - 8)) - 2?
15
Calculate (-100 - -93) + (0 + 23 - 3).
13
What is the value of -7 + (-6 - (11 + -4 - 31)) - -3?
14
What is the value of -19 - (-16 + (-6 - -15)) - 4?
-16
Calculate -4 - ((1 - 1) + (11 - (48 - 32))).
1
What is the value of 70 + -58 + (-5 + 0 - -3)?
10
22 + 2 - (-6 + 11 - -4)
15
Calculate -2 + -1 + -1 + 2 - (25 + -18).
-9
What is the value of 5 + -19 + 13 - 5?
-6
What is the value of -1 - (5 + (4 - 13) + 11)?
-8
Calculate (9 - 18) + -8 + (6 - -1) - 5.
-15
-2 + 11 - (-30 - (-32 - 5))
2
What is (4 - (30 + -14)) + 5?
-7
Calculate 0 + (7 + 7 - 7) + (1 - -3).
11
0 + -1 + -15 - -10
-6
What is the value of 5 + (-3 - -1) + -7?
-4
(1 - 0 - 2) + 0 + 554 + -562
-9
What is t | {
"pile_set_name": "DM Mathematics"
} |
e j(i(g)).
363609*g**2
Let c(j) = 70*j. Let a(y) = 9*y**2. Calculate c(a(s)).
630*s**2
Let m(s) = 4*s**2. Let w(g) be the third derivative of g**4/4 - 18*g**2. Calculate w(m(x)).
24*x**2
Let d(f) be the first derivative of 1/3*f**3 - 4 + 0*f**2 + 0*f. Let t(a) = a**2. Calculate t(d(r)).
r**4
Let t(a) = -9*a. Let m be 4/6 + 17/(-3). Let h(d) = 2*d**2 + 4. Let f(j) = -2*j**2 - 5. Let s(b) = m*h(b) - 4*f(b). Determine s(t(v)).
-162*v**2
Let z(w) be the third derivative of -w**4/24 + 6*w**2. Let k(b) = 3*b. Determine k(z(p)).
-3*p
Let l(o) = -6*o. Let d(z) = 29*z**2. Give l(d(b)).
-174*b**2
Let d(f) = 3*f**2 - 4*f - 4. Let w(n) = 5*n**2 - 7*n - 7. Let v(k) = 7*d(k) - 4*w(k). Let u(b) = -6*b. What is u(v(p))?
-6*p**2
Let m(q) be the second derivative of q**4/12 - q. Let b(j) = -3*j**2. Determine m(b(n)).
9*n**4
Let x(k) = -2*k**2. Let d(q) = 86 - 86 - 9*q. Give d(x(z)).
18*z**2
Let m(a) = -5*a. Let t(l) = -56*l. What is m(t(d))?
280*d
Let f(j) = -j. Let r = 61 - 37. Let v(k) = 7*k**2 - 8*k - 8. Let p(n) = -n**2 + n + 1. Let a(o) = r*p(o) + 3*v(o). Calculate a(f(g)).
-3*g**2
Let m(c) = 15*c**2. Let a(w) = -31 + 31 + w. Determine m(a(z)).
15*z**2
Let o(b) be the first derivative of 2*b**3/3 - 3. Let n(f) = -3*f**2 - f**2 - 2*f**2. Give o(n(p)).
72*p**4
Let o(g) = 8*g**2 + 1. Let f be o(1). Let p(u) = -7*u + 2*u + f*u. Let b(i) = -5*i. Determine p(b(s)).
-20*s
Let m(w) = -2*w. Let s(l) = 314*l. Determine m(s(k)).
-628*k
Let f(j) be the second derivative of -j**3/3 + j. Let b(c) be the third derivative of 11*c**4/24 + 50*c**2. Give f(b(x)).
-22*x
Let u(v) = 3*v**2 - 3*v**2 - v**2. Suppose -14 = -w + 18. Let k(h) = -31*h - 3 + w*h + 3. Determine u(k(p)).
-p**2
Let v(g) = g**2. Let z(x) = 17*x + 29*x - 12*x. Determine z(v(b)).
34*b**2
Let v(b) = b + 1. Let t be v(8). Let j = 10 - t. Let f(l) = l**2 + 7 - 8 + j. Let w(a) = -2*a. What is f(w(i))?
4*i**2
Let v(y) = -12*y. Let o(j) be the first derivative of 2*j**2 + 1. Determine v(o(n)).
-48*n
Let b(m) = m**2. Let f(i) be the second derivative of 10*i**3/3 + 22*i. Determine b(f(c)).
400*c**2
Let t(z) = -1 + 1 + 3*z. Suppose 3*k = 4*l - 14, -l + 6 = -4*k - 4. Let v(o) = -4*o**l - o**2 + 4*o**2. Give v(t(x)).
-9*x**2
Let s(u) be the third derivative of -u**5/20 - u**2. Let h(k) be the second derivative of 0*k**3 + 0 - 1/12*k**4 + k + 0*k**2. Calculate s(h(g)).
-3*g**4
Let i(p) = 606*p**2. Let m(l) = 9*l. Determine i(m(d)).
49086*d**2
Let d(o) = 4*o. Let j(y) = 3*y. Let f(s) = 3*d(s) - 2*j(s). Let h(l) = 2*l**2. What is f(h(c))?
12*c**2
Let t(a) = a**2. Let v(l) = -2*l - 3. Let h(f) = f + 4. Let s be h(-2). Let g(i) = i + s*i + 6*i - 4*i + 8. Let j(w) = 3*g(w) + 8*v(w). Determine j(t(x)).
-x**2
Let f(w) be the first derivative of 2*w + 2*w**2 - 2*w - 1. Let g(p) = 7*p. Let r(k) = -k. Let v(x) = g(x) + 5*r(x). Determine f(v(i)).
8*i
Let j(o) = -2*o**2. Let s(g) = 107*g**2. What is j(s(a))?
-22898*a**4
Let s(o) = -6376*o**2. Let x(v) = v**2. Determine s(x(r)).
-6376*r**4
Let x(c) = c**2 - 2. Let k(q) = 6*q**2 - 11. Let u(v) = 6*k(v) - 33*x(v). Let f(o) = o**2 + 6*o**2 - 9*o**2. What is u(f(z))?
12*z**4
Let s(i) = -41 + 41 - i. Let n(m) be the second derivative of -5*m**4/12 - 2*m. Calculate n(s(g)).
-5*g**2
Let c(v) = -v. Let o(s) = -6*s**2 + s**2 + s**2 + 2*s**2. Give o(c(n)).
-2*n**2
Let u(g) = 2*g**2. Let r(q) = q**3 + 2*q**2 - 2*q - 1. Let j be r(-2). Let c(z) be the first derivative of -2*z**2 - j + 2 + z**2. Calculate c(u(h)).
-4*h**2
Let z(q) = -7*q**2 - 2*q + 2. Let y(x) = 266*x**2 + 77*x - 77. Let d(n) = -2*y(n) - 77*z(n). Let p(h) be the first derivative of h**2 + 1. Determine d(p(a)).
28*a**2
Let w(c) = -c**2. Let q(o) = 723*o. Give w(q(r)).
-522729*r**2
Let g(w) = 4*w. Let z(o) = -6*o**2 + 14*o - 14. Let q(y) = 2*y**2 - 5*y + 5. Let u(d) = -14*q(d) - 5*z(d). Calculate g(u(k)).
8*k**2
Let l(p) = -776*p. Let a(j) = -3*j**2. Give l(a(w)).
2328*w**2
Let c(f) = 27*f. Let w(v) = 3*v**2. Calculate c(w(n)).
81*n**2
Let x(q) = 11*q. Let d(v) be the third derivative of v**5/60 - 13*v**2. Calculate x(d(i)).
11*i**2
Let d(m) = m. Let i(h) = 17*h**2. Calculate i(d(p)).
17*p**2
Let o(k) = -2*k**2. Let j(y) = 347*y. Determine o(j(z)).
-240818*z**2
Let n(u) = -u**2. Let b(o) = 0 - 1 + 0*o + o. Let s(z) be the third derivative of -5*z**4/24 + z**3/2 - 3*z**2. Let g(p) = -6*b(p) - 2*s(p). Calculate n(g(l)).
-16*l**2
Let q(v) = -36*v**2. Let o(f) = -f + 5*f - 4*f - 2*f. Determine o(q(j)).
72*j**2
Let t(g) = 2*g. Let o(b) = -1452*b. Determine t(o(m)).
-2904*m
Let i(u) = -329*u**2. Let g(m) = -6*m. Determine g(i(d)).
1974*d**2
Suppose -u - 2 = -5. Let l(k) = -6*k**2 + k**2 + u*k**2. Let w(d) = -3*d**2. Calculate w(l(a)).
-12*a**4
Suppose a - 3 = 1. Let p(i) = 0*i - a*i + i. Let n(z) be the third derivative of -z**4/24 - z**2. What is n(p(u))?
3*u
Let v(n) be the first derivative of -5*n**2 + 7. Let i(j) = 3*j + j**2 - 3*j. Determine v(i(d)).
-10*d**2
Suppose -5*m + 5*y + 60 = 0, 4*m - 32 = 3*m + 5*y. Let n(h) = m*h**2 + 13*h**2 - 6*h**2. Let g(v) = -2*v. Give n(g(b)).
56*b**2
Let g(m) = -1133*m - 2. Let j(x) = x. Calculate j(g(r)).
-1133*r - 2
Let g(o) = -o. Let t(h) be the third derivative of 11*h**5/60 - 2*h**3/3 + h**2. Give t(g(s)).
11*s**2 - 4
Let v be 6/4 + 2 - 3. Let z(p) be the first derivative of 3 + 0*p - v*p**2. Let d(l) = -l. Calculate d(z(w)).
w
Let o(k) = 49*k**2. Let u(v) = -6*v. What is o(u(t))?
1764*t**2
Let d(h) = -h**2. Let j(x) = -1359*x. Give j(d(f)).
1359*f**2
Let q(g) be the second derivative of 0*g**2 + 0*g**3 + 1/12*g**4 + 3*g + 0. Let m(x) = 5*x**2. What is m(q(d))?
5*d**4
Let v(k) = 26*k**2. Let n(o) = -381*o + 379*o + 0 + 0. What is v(n(m))?
104*m**2
Let b(v) = -2*v**2. Let x(a) be the third derivative of a**5/12 - 5*a**4/8 - 5*a**3/2 - a**2. Let s(o) = -o - 1. Let c(l) = 15*s(l) - x(l). Give c(b(g)).
-20*g**4
Let m(z) = -43*z**2 + 37*z**2 - 34*z**2. Let u(g) = 3*g. Give m(u(a)).
-360*a**2
Let x(h) = 3*h. Let u(i) = 12*i**2 - 3. Let d(t) = 12*t**2 - 2. Let w(y) = 3*d(y) - 2*u(y). Give x(w(g)).
36*g**2
Let t(y) = 3*y. Let d(w) be the second derivative of -11*w**4/6 + 31*w. Determine t(d(p)).
-66*p**2
Let p(q) = -5*q**2 - 2*q. Let l(h) = 10*h**2 + 5*h. Let c = 5 - 7. Let t(w) = c*l(w) - 5*p(w). Let v(z) = -2*z. Give t(v(a)).
20*a**2
Let k(s) = 2*s**2. Let n(g) = -557*g. Give n(k(a)).
-1114*a**2
Let f(j) = -7*j**2. Let o(u) = 29*u**2. Calculate f(o(x)).
-5887*x**4
Let t(r) = -44*r. Let q(m) be the first derivative of -m**2/2 + 15. Determine q(t(f)).
44*f
Let k(g) = g**3 + 1. Let l(z) = 9*z**3 + 9. Let c(q) = 6*k(q) - l(q). Let j(y) be the first derivative of c(y). Let r(d) = -d**2. Determine j(r(h)).
-9*h**4
Let c(m) = 4*m + 11*m**2 - 4*m + 5*m**2. Let k(h) = -h. What is k(c(l))?
-16*l**2
Let n(x) = 2*x. Suppose 4*w - 2*w = 0. Let r(i) = -i**2 + w*i**2 - i**2 - i**2. Calculate n(r(m)).
-6*m**2
Let j = 3 + -3. Let k(h) be the first derivative of 1/3*h**3 + j*h**2 - 1 + 0*h. Let l(g) = -4*g**2. Determine k(l(f)).
16*f**4
Let o(a) = 2*a**2 - 5*a**2 + 5*a**2. Let i(v) be the second derivative of -v**3/3 + 2*v. What is i(o(j))?
-4*j**2
Let a(j) = -276*j + 1. Let f(t) = 9*t**2. What is a(f(h))?
-2484*h**2 + 1
Let z(o) = 2*o**2. Let i be (10/15)/(1/9). Let v(x) = x**3 + 3*x**2 + 3. Let h be v(-3). Let p(k) = -3 + h + i*k - k. Determine z(p(l)).
50*l**2
Let c(h) = 3*h. Let t(y) = -y**2 + 2*y**2 - 2*y**2. Calculate c(t(g)).
-3*g**2
Let y(k) be the first derivative of k**2/2 - 1. Let v(c) = 4*c**2 - 2*c - c + 3*c. Calculate y(v(r)).
4*r**2
Let t(m) = -2*m. Let v(f) = 539*f**2 + f. Determine v(t(j)).
2156*j**2 - 2*j
Let r(h) be the first derivative of -h**2/2 + 1. Suppose 2*c = -2*g - 4, 3*g - 6 = c + 8. Let z(l) = 2 + 1 + g*l - 3. What is z(r(k))?
-3*k
Let x(s) = -2*s**2. Let r(k) be the third derivative of k**4/24 + 5*k**2. Let y(m) = 9*m. Let h(n) = 4*r(n) - y(n). What is h(x(d))?
10*d**2
Let s(b) be the second derivative of -b**4/6 + 9*b - 2. Let y(r) = -8*r. What is y(s(h))?
16*h**2
Let t(s) = 23*s**2 + 2*s. Let g(d) = -6*d. Give t(g(y)).
828*y**2 - 12*y
Let j(c) = 2*c. Let t(q) = 193*q + 2. Calculate j(t(b)).
386*b + 4
Let g(c) = 2*c**2. Let t(a) = -18*a + 16*a + 46*a - 2*a. Give g(t(f)).
3528*f**2
Let k(l) = l - 216 + 216. Let z(r) = -6*r**2. Determine z(k(s)).
-6*s**2
Let v(i) = 10*i. Let h(x) | {
"pile_set_name": "DM Mathematics"
} |
.06
Which is the fourth biggest value? (a) -1/2 (b) -2/385 (c) 0.4 (d) 3 (e) -0.4
e
Which is the biggest value? (a) -11 (b) 1/4 (c) 0 (d) 0.3
d
Which is the fifth biggest value? (a) 0.3 (b) 0 (c) -0.15 (d) -1/2 (e) -7/5
e
Which is the third smallest value? (a) -3.9 (b) -2 (c) 4 (d) 0.4
d
Which is the third biggest value? (a) -2 (b) 2/17 (c) 2/3 (d) 16
b
What is the second biggest value in 1, 5, -8, -1/6?
1
What is the third smallest value in 0.041, -3/5, 1/2, -1, -0.5?
-0.5
Which is the third biggest value? (a) -5 (b) -0.5 (c) 7
a
What is the third biggest value in 1, 13, 67?
1
Which is the third biggest value? (a) 1/3 (b) -0.02 (c) -0.5
c
What is the third smallest value in -2/5, 1, 10/3?
10/3
What is the smallest value in 5, -86, 2/11, -31?
-86
Which is the second smallest value? (a) 2/3 (b) -6 (c) 2 (d) -1
d
Which is the second biggest value? (a) -0.3 (b) -5.19 (c) 6
a
What is the second biggest value in 0.5, 70, -3/2?
0.5
Which is the fourth smallest value? (a) 0.3 (b) 87 (c) -5 (d) 1
b
What is the second smallest value in -19/3, 0.3, 1?
0.3
Which is the third smallest value? (a) 0.3 (b) -5/6 (c) 4 (d) -0.93
a
Which is the biggest value? (a) 1 (b) 19.4 (c) 4 (d) 0
b
What is the second smallest value in -4, -0.4, 0.2, -85?
-4
Which is the biggest value? (a) -0.06 (b) -2/3 (c) 1 (d) -2/5 (e) -46
c
Which is the third biggest value? (a) -2/37 (b) 0.07 (c) -4
c
What is the biggest value in -0.4, 1, 0, 49?
49
Which is the third biggest value? (a) -1466 (b) -4/3 (c) 1/6
a
What is the smallest value in 2/5, 4, 7, 4/13?
4/13
Which is the biggest value? (a) -0.4 (b) 3 (c) -2/7 (d) 2 (e) 0
b
Which is the fifth smallest value? (a) 3/4 (b) 0.2 (c) 2.4 (d) -1 (e) 2/7
c
What is the second smallest value in -86, -0.5, -0.01?
-0.5
Which is the second biggest value? (a) -4.5 (b) -76 (c) -0.2
a
Which is the fourth smallest value? (a) -4 (b) -0.03 (c) -0.3 (d) 0.66
d
Which is the fourth biggest value? (a) 3/5 (b) -2/5 (c) -1/14 (d) 29
b
Which is the biggest value? (a) 0 (b) 1/4 (c) 0.4
c
Which is the third smallest value? (a) 1/6 (b) -2/3 (c) 415
c
What is the biggest value in -0.3, 1/4, 0.4, -0.1?
0.4
What is the second smallest value in 0.36, -4, 12?
0.36
Which is the fourth biggest value? (a) 5/7 (b) 0.5 (c) -0.2 (d) 11 (e) -0.5
c
What is the third biggest value in 4.8, 0.03, 0.1?
0.03
Which is the third biggest value? (a) 5 (b) 4 (c) -3/2
c
Which is the fourth smallest value? (a) -6 (b) 3 (c) 0.02 (d) -0.2
b
What is the third smallest value in -275.6, -2/5, -0.5?
-2/5
What is the third biggest value in 2/7, -8/63, 1/3?
-8/63
Which is the second smallest value? (a) 0.07 (b) -5 (c) -2 (d) -789
b
Which is the third biggest value? (a) 18 (b) -3 (c) -4 (d) 1/4
b
What is the second biggest value in -2/2747, 1, -0.3?
-2/2747
Which is the fourth biggest value? (a) 2/41 (b) 1 (c) 3 (d) -1/3 (e) 2
a
What is the fourth biggest value in 2/3, 4, 3, -1/19?
-1/19
Which is the second biggest value? (a) 1315 (b) -5 (c) 2 (d) 0.3
c
What is the fourth smallest value in 0.5, 3, -0.4, 0.01?
3
Which is the biggest value? (a) 9 (b) -3/2 (c) -10/59
a
Which is the third smallest value? (a) -0.3 (b) 17/3 (c) -1
b
Which is the second biggest value? (a) -0.2 (b) 8 (c) -2/9 (d) -21
a
What is the fourth smallest value in 0.2, -0.2, 0.6, -17?
0.6
Which is the smallest value? (a) 12 (b) 4 (c) 5 (d) 0.04
d
Which is the second biggest value? (a) 0.5 (b) -6 (c) 2 (d) -2/9 (e) -1/6
a
Which is the second biggest value? (a) -2/7 (b) 6 (c) 1
c
Which is the third smallest value? (a) 0.029 (b) -0.2 (c) -1
a
Which is the smallest value? (a) 0.24 (b) -1.43 (c) 5
b
Which is the fourth biggest value? (a) 5/4 (b) 0.3 (c) 4 (d) -0.7
d
What is the smallest value in 3/10, -0.2, -4?
-4
Which is the biggest value? (a) 2/3 (b) 0.3 (c) -14/5
a
What is the smallest value in -1/2, 4.8, 7/5, 0.5?
-1/2
Which is the third biggest value? (a) -2/13 (b) 2/9 (c) -0.113
a
Which is the fifth biggest value? (a) -3 (b) 0.4 (c) 4 (d) 507 (e) -2
a
What is the fifth biggest value in 48/25, -0.1, -3, -2, -0.6?
-3
What is the smallest value in 2, -0.5, -22, 0?
-22
Which is the smallest value? (a) 0.5 (b) -2/25 (c) 0.08 (d) -0.06
b
What is the smallest value in -2/5, -2/3, 104, -1, 0?
-1
Which is the second smallest value? (a) -0.03 (b) 4 (c) 1/2 (d) -2
a
What is the smallest value in -1/4, 7, -5, -8?
-8
Which is the third smallest value? (a) 4 (b) -31 (c) 0.3 (d) -1/2
c
What is the smallest value in 2/3, -0.001, -1/4?
-1/4
Which is the second smallest value? (a) -3 (b) -3/5 (c) -23/3
a
Which is the smallest value? (a) -5 (b) -1/4 (c) 1/4 (d) 1 (e) -2
a
What is the biggest value in -1/3, 0.11, 2/3?
2/3
What is the second biggest value in 16/5, 0, -3?
0
Which is the second biggest value? (a) -2 (b) -1.1 (c) -1 (d) 16
c
Which is the fourth smallest value? (a) 2 (b) 3/2 (c) -1/10 (d) -12
a
What is the biggest value in 0.4, 0.035, -5?
0.4
Which is the fifth smallest value? (a) 7/2 (b) 2 (c) -3 (d) 3 (e) 75
e
What is the third smallest value in -3, 1262/3, -2?
1262/3
Which is the fourth smallest value? (a) -1/3 (b) -3/7 (c) -2/11 (d) 2/21
d
Which is the second smallest value? (a) -2/11 (b) 7 (c) -3
a
Which is the second biggest value? (a) 1 (b) -0.044 (c) 8 (d) 4
d
Which is the smallest value? (a) 551 (b) 2 (c) 0.4
c
What is the second biggest value in -20, 7, -2?
-2
What is the second smallest value in -5, 1/8, 1, -10, -1?
-5
Which is the third smallest value? (a) -3 (b) 92 (c) -1
b
Which is the third biggest value? (a) 5 (b) 3.05 (c) -1/6 (d) -5
c
Which is the second biggest value? (a) -0.3 (b) -4.2 (c) 4/7 (d) 2/5
d
What is the biggest value in 3/4, -0.1, 159?
159
What is the second biggest value in -0.1, -4, 3/7?
-0.1
What is the second smallest value in -2/3, 1.9, -2/17, 0.29?
-2/17
What is the biggest value in 5, -2/17, 1/17, -0.3, -1/2?
5
Which is the smallest value? (a) 2/77 (b) -0.4 (c) -2/7
b
What is the second smallest value in -0.01, -2, -3/8, 1/8, 2/13?
-3/8
Which is the second biggest value? (a) -2 (b) 2 (c) 15 (d) -0.5
b
What is the third biggest value in -17, 0.08, -2, 1/2?
-2
Which is the second biggest value? (a) 10 (b) -1/4 (c) 2 (d) 3/7
c
What is the smallest value in -0.39, 0.1, -2/3?
-2/3
What is the third smallest value in 2/7, 1/3, 4, 3/5?
3/5
What is the second biggest value in 1/16, 5, -1?
1/16
What is the smallest value in 0.5, 0, -22?
-22
Which is the third biggest value? (a) -0.18 (b) -2 (c) 17
b
What is the fourth biggest value in -4, 2, 4, -3/5, 1/34?
-3/5
Which is the biggest value? (a) 3/4 (b) 167 (c) -3
b
What is the third smallest value in -2, -87, -1?
-1
Which is the second smallest value? (a) 2 (b) -1 (c) -1/80
c
What is the third smallest value in 0.2, 2.4, -4, 0.5?
0.5
What is the third biggest value in 0.3, -202, 9, 7?
0.3
Which is the smallest value? (a) -3 (b) 88/9 (c) 1.6
a
Which is the fourth biggest value? (a) -0.097 (b) 0.09 (c) -4 (d) 0.5
c
Which is the fourth smallest value? (a) 0.3 (b) -2/19 (c) 1 (d) -5
c
What is the fourth smallest value in -4, 5, 3, 73.5, -3?
5
What is the biggest value in -5, -56, -2/5, -1?
-2/5
What is the third biggest value in -4, 0.5, -0.0624, 0.1?
-0.0624
What is the second biggest value in -1/10, 0.1, 0.4?
0.1
What is the fourth biggest value in 0.02, 0.09, 4, 0.5, 0.2?
0.09
Which is the third smallest value? (a) 0.1 (b) -3/23 (c) 3
c
What is the biggest value in 0.5, -2, 1, -0.1?
1
What is the second biggest value in -2/5, 1, 0, 4?
1
Which is the fourth smallest value? (a) 2/9 (b) 2 (c) 0.2 (d) -1
b
What is the smallest value in 3, 2/19, 0.5, -1.1?
-1.1
What is the second biggest value in -0.01, 5, -3/4, 2/21?
2/21
Which is the third smallest value? (a) 2/25 (b) -3.6 (c) 2/13
c
What is the third smallest value in -168, -2/11, -3?
-2/11
What is the smallest value in 3, 4, -0.04, 1/80, 1?
-0.04
Which is the third smallest value? (a) -1/9 (b) 1 (c) -2 (d) 0.4
d
Which is the fifth biggest value? (a) 0.09 (b) 2 (c) 3 (d) 1.53 (e) -3/2
e
What is the third smallest value in 2/5, 0.3, -0.4, 2/9?
0. | {
"pile_set_name": "DM Mathematics"
} |
(7). Suppose -l*f + 102 = 11*f. Solve 10 = 8*h - f*h for h.
5
Let w be (-8 + 6 - -6)*126/4. Suppose 41*g - 39*g = w. Suppose -s + 3*s - 84 = -4*a, -g = -3*a - 3*s. Solve -a = 4*y - 1 for y.
-5
Suppose -5*n + 7*n - 10 = 0. Let l be 12/(3 + (-5)/n). Solve a = -l*a + 5*a for a.
0
Let y(h) = -h**3 - 5*h**2 + 5*h - 8. Let w be y(-6). Let a be (-11)/((-11)/86)*(-3 - w). Let b = a + 101. Solve 5*g + 5 = b for g.
2
Let r(o) = o**3 + o**2 - o. Let l be r(0). Let n be ((l - 1)/(-1))/((-1)/(-2)). Let u be 1 + -1 + 1 - (-8)/4. Solve 0 = u*y - 2*y - n for y.
2
Let k(b) = -325*b + 10. Let s be k(0). Solve -s = 2*g + 2 for g.
-6
Suppose 1 = -d, 2*t - 60 = -4*d + 30. Suppose -52*i - t = -151. Solve 9 = 11*u - i for u.
1
Let o = -2391 + 2409. Solve -12*m - 12 = -o*m for m.
2
Let d(m) = 4*m - 3. Suppose -108 = c + o, 2*c + 2*o + 208 = -2*o. Let w = c + 114. Let t be d(w). Solve -10 = 3*v - t*v for v.
5
Suppose 229*j - 432 = 53*j + 976. Solve 55 = -j*u + 71 for u.
2
Let h(m) = -m**3 - m**2 + m - 1. Suppose 2*n + 0 = -8. Let z(b) = 3*b**3 + 15*b**2 - 4*b. Let i(s) = n*h(s) - z(s). Let j be i(11). Solve 1 = -5*g - j for g.
-1
Suppose 4*m + 99 - 123 = 0, 4*p + 10 = 3*m. Let t = 14 + -6. Solve -t = -p*o + 4*o for o.
-4
Suppose k + 26*z - 29*z = 277, -k + 277 = -5*z. Suppose k - 307 = -15*x. Solve x*n - 28 + 32 = 0 for n.
-2
Let q(t) = -t**2 - 10*t + 20. Let g be q(-17). Let p = g - -103. Solve -7 = -p*h - 23 for h.
-4
Let t be ((-231)/(-18) - 1) + 16/((-576)/30). Solve -t*s - 140 = 24*s for s.
-4
Let j be (-1 + ((-88)/18)/4)*-3*3. Solve -8*v = j + 20 for v.
-5
Suppose 5*y + 4*f = 3909, f - 3906 = 4*y - 9*y. Suppose 0*w = 11*w - y. Let j = -69 + w. Solve k = j*k for k.
0
Let d(k) = k - 2. Let r be d(4). Let a be 12/28 + 60/7 + r. Suppose 1 = 3*v - a. Solve v = o - 2*o for o.
-4
Suppose 0 = 2*u + 10, -7*u + 23 = -2*w - 12*u. Solve 27 = 13*k + w for k.
2
Let v be ((-5)/((-150)/234) + -7)/((-4)/(-230)). Solve 9*l - v + 28 = 0 for l.
2
Suppose -3*o - 4*x + 127 = 0, x + 22 = 2*o - 81. Solve -o*n + 43*n = -36 for n.
6
Suppose -337*q = -907 - 1452. Solve -q*k + 348 = 51*k for k.
6
Let v = 36 - 34. Suppose 3*t - 281 = 67. Let o = t - 116. Solve 0 = -o*p - v*p for p.
0
Let b be (162/(-54))/((-1)/3). Solve -16*l - b = -19*l for l.
3
Let a = 7 + 20. Let c(k) = 10 + 6 - k**3 + 24*k - a*k**2 + 5*k**2 + 10. Let b be c(-23). Solve -2*r + b = -5 for r.
4
Suppose 2*p = 2*f - 10, 81*p - 85*p - 22 = -5*f. Let l(c) = c**3 + c**2 + c + 4. Let j be l(0). Suppose n = -j*n. Solve n = f*h + 1 + 1 for h.
-1
Suppose 3*t - 194 - 115 = 0. Let l = t - 95. Solve 0*s = -2*s + l for s.
4
Let a(l) = -20*l + 1245. Let n be a(2). Solve -n*k = -1199*k for k.
0
Suppose 9*r = 10*r - y - 435, -8 = 2*y. Solve r*z = 433*z + 8 for z.
-4
Suppose -t - 13 = -4*o, -6*o - 20 = -5*t - 29. Solve t*f = -13*f - 16 for f.
-1
Suppose 3*a + 2*z - 102 = 0, 0 = 4*z - 8 - 4. Let l = a + -27. Solve -3 - l = 4*g for g.
-2
Let b(n) = -53*n - 469. Let w be b(-9). Solve 78*q = 82*q + w for q.
-2
Let d be -3*12/(-9)*1. Suppose 11 + 9 = d*r. Suppose 2*h = r*h - 36. Solve s - h = -3*s for s.
3
Suppose 0 = 5*v - 4*a - 75, 0 = 4*v - a - 26 - 34. Suppose 4*b = -5 + 13. Let k = b - 2. Solve k*f = -3*f - v for f.
-5
Let m(o) = -5*o**2 + 7*o - 8. Let h(d) = d**2 - 6*d + 7. Let v be h(5). Let c be m(v). Let j = c - -17. Solve -b = j*b for b.
0
Suppose 3*x - 12 = -25*z + 29*z, 0 = -5*x - 4*z + 20. Solve x*o + 251 - 283 = 0 for o.
8
Suppose -12*t + 30 = -17*t, 0 = 3*b + 3*t - 135. Solve -9 = 54*d - b*d for d.
-3
Suppose 22*o - 18*o - 20 = 0. Let h = -23 - -29. Let n be (h + -7)/((-3)/48). Solve n = -o*l + l for l.
-4
Suppose 0 = -13*i + 30 - 4. Let q be (41/(-41))/(-2*i/36). Solve 2*u - q + 3 = 0 for u.
3
Suppose 87 = d + 2*h, 18*d - 23*d + 2*h = -363. Solve -70*j + 85*j = d for j.
5
Let w be 47 - ((-20)/(-3) + 600/(-360)). Solve -385*i + w = -391*i for i.
-7
Let h = -208 + 212. Suppose -170 = -3*f + 4*s, h*f + 3*s = 9*f - 276. Solve 57*u - 12 = f*u for u.
4
Suppose -5*l + 3*l + 8 = 0. Let f(d) = d**2 - 3*d. Let w be f(3). Let y(q) = -q**3 - q**2 + 14*q + 9. Let g be y(-4). Solve -3*p + l*p + g = w for p.
-1
Let f be 1295/(-20) - -3*(-6)/(-24). Let a = f + 74. Solve -a = 8*m - 3*m for m.
-2
Suppose -3*k - 161 = -v - 146, 4*k = v - 16. Solve 2471 = v*s + 2387 for s.
7
Let z = -145 - -148. Suppose 0 = 4*j - w - 27, -4*j + 3*j = -3*w - 15. Suppose 26 - j = 4*f. Solve 0 = -f*r + z*r + 10 for r.
5
Let m(r) = -r**3 - 23*r**2 - 76*r - 309. Let z be m(-20). Solve -20*g = -z*g + 18 for g.
-2
Let j(n) = n**2 - 1. Suppose 0 = 15*f - 13*f - 74. Let k = f - 35. Let v be j(k). Solve -1 = -2*i + v for i.
2
Let s be (1 + 15/(270/372))*(-9)/(-5). Solve -24*t = s*t + 315 for t.
-5
Let a(t) = -7*t + 56. Let f be a(0). Suppose 0 = -5*r - 2*r + f. Solve 0 = -2*v - 0 + r for v.
4
Let s(m) = 5*m**2 + 2*m + 12. Let y be s(-5). Let p = y - 127. Solve p = 2*z - 2 + 4 for z.
-1
Let y be ((-7)/(-4))/((-2)/8). Let v(s) = -2*s**2 - 8*s + 5. Let t be v(y). Let z = t - -40. Solve 0 = z*x - 3 - 0 for x.
1
Suppose -14*z - 4*k = -16*z + 38, -k - 2 = 0. Suppose z*a + 36 - 156 = 0. Solve a*f + 3*f = -22 for f.
-2
Suppose 992 = -198*b + 12674. Solve -62*m - 6 = -b*m for m.
-2
Let j(f) = 227*f**2 - 4*f - 3. Let i be j(-1). Let t = i - 228. Solve -4*u = -t*u for u.
0
Suppose -4*m + 8 = 0, 2*i + 2*m = m + 16. Suppose -i*z + 32 = -3. Solve -5 = 10*y - z*y for y.
-1
Suppose -50*k + 153*k - 2987 = 0. Solve 4*c + 198 = -k*c for c.
-6
Let u be -13 - 49/(882/(-648)). Solve -u = 3*d - 2 for d.
-7
Suppose 4*n - 5*y = -1, -4*n - y = -3*n + 7. Let c be n/(-14) - (-52)/14. Let h(b) = 151*b + 606. Let z be h(-4). Solve z*w = -6 - c for w.
-5
Suppose 429 = 11*n - 440. Suppose -5*u + n = -2*u - 5*d, -3*d + 39 = 3*u. Solve -u = -6*o - 3*o for o.
2
Suppose -4*i + 323*c - 328*c + 150 = 0, 5*i - 3*c = 206. Solve -i*h + 122 = 21*h for h.
2
Let a(g) = -20*g**2 - 181*g - 7. Let v(z) = z**2 - 18*z - 9. Let p be v(18). Let i be a(p). Solve 0 = -16*w + 15*w - i for w.
-2
Let c be -3 + 10*(-34)/4. Let l be c/(-14) + -3 - 8/28. Suppose 3*g + l = 6. Solve k + 2 = -g for k.
-3
Let v be (-2 - -23)/(651/93). Solve v*j + 308 = 317 for j.
3
Let s(f) = -f**2 + 24*f + 39. Suppose 4*w = 3*w + 25. Let x be s(w). Let y = 22 - x. Solve j + j = y for j.
4
Suppose 5*j - 581 = -2*j. Let v = -80 + j. Let t be 0 + (0/3)/1. Solve -v*p - 3 = -t*p for p.
-1
Let s(b) = 87*b - 135. Let k be s(3). Let m be 1*-4 - (2 - 128). Let g = k - m. Solve -4*w - 4 = g for w.
-2
Let s(h) = 1 + h - 89*h**2 + 44*h**2 + 42*h**2 + 4*h**3. Let g be s(2). Suppose 3*v = -5*f - 5 + g, -2*v = 5*f - 17. Solve -5*l = -v + 21 for l.
-4
Let p be (-937167)/63*(-57)/209. Solve 4055*c - p*c + 14 = 0 for c.
7
Suppose 4*n - 20 = -4*s, -3 = 11*s - 17*s + 3*n. Let f be -3*(2 + (1 - 2)). Let j = f - -6. Solve s*k + j - 7 = 0 for k.
2
Let c(i) = 3*i**2 + 52*i - 1406. Let j be c(-32). Solve 54*m - 2 = -j for m.
0
Let t(v) = -v**3 + 16*v**2 + 19*v - 31. Let f(b) = b**3 - 9*b**2 + 7*b + 25. Let a be f(8). Let y be t(a). Solve y = 5*i - 2*i for i.
1
Let w(g) = -g**2 - 7*g - 3. Let i be (-9 + 7)/((-4)/6 - -1). Let s be w(i). Solve s*q + 1 = 4*q for q.
1
Let s = 56 - 49. Let k be 3/((-9 - (-16 + 8))*-1). Solve s*t + 12 = k*t for t.
-3
Suppose -6*l = 5 + 1. Let v(i) = 5*i. Let g be v(l). Let x = 15 + g. Solve 4*p = -p + x for p.
2
Suppose -3*w - 2*d + 6*d + 75 = 0, 3*w + 5*d - 21 = 0. Solve 11*b - w*b - 30 = 0 for b.
-5
Suppose 0 = -3*l - l + 60. Let p = 12 - 9. Let r be -1 + -3*(-8)/p. Solve 2*x - r*x + l = 0 for x.
3
Let u(k) = 224*k + 3366. Let m be u(-15). Solve m*t = 5839 - 5827 for t.
2
Let g be 416/112 + 2/7. Let t(r) = -9*r**2 + 35*r - 75. Let d(u) = 5*u**2 - 18*u + 38. Let n(f) = g*t(f) + 7*d(f). Let a be n(10). Solve 0 = a*o - o for o.
0
Suppose -2*t - 5*b = -64 - 79, -4*b - 341 = -5*t. Let u be 5 + 55/(-10) + t/2. Solve -u*x = -37*x - 6 for x.
-2
Let r be ((-72)/64)/((-12)/64). Let n be (2/r)/(3/18). Solve 0 = n*a - 11 + 1 for a.
5
Suppose -4*a = j - 27, 0*a = 3*j + a - 26. Let l(n) = -9*n + 63. Let t be l(j). Solve -2*y + 4 - 6 = t for y.
-1
Suppose -26*s + 35*s = 180. Suppose -5*x = -7*x + 2*r + s, 3*x = -r + 14. Solve -4*v + 2 = x for v.
-1
Suppose -9*j + 35 + 190 = 0. Suppose -4*m + 45 = j. Solve -m*w + 13 = 8 for w.
1
Suppose 25*d + 40*d - 975 = 52 | {
"pile_set_name": "DM Mathematics"
} |
+ 3060*h**2
Let u(b) = 114*b + 112*b + 121*b - 327*b. Let c(d) = -d. Determine u(c(h)).
-20*h
Let r(s) = -173*s**2. Let h(u) be the second derivative of u**3/2 - 36*u + 5. Determine h(r(x)).
-519*x**2
Let k(q) = 5*q**2. Let g(w) = -6387*w**2. What is k(g(m))?
203968845*m**4
Let s(o) = 5 + 5*o**2 - 5. Suppose -9 = -9*i + 9. Let q(c) = 4*c - 5*c + i*c. Determine q(s(u)).
5*u**2
Let j(a) = -2*a. Let p(w) = -w + 1. Let t(x) = -169*x + 7. Let b(r) = 14*p(r) - 2*t(r). Determine j(b(o)).
-648*o
Let j(u) = -3*u**2 + 2048*u. Let s(g) = 5*g. Calculate s(j(c)).
-15*c**2 + 10240*c
Let r(c) = -3 - c + 3. Let g(b) = 36*b. Let w(o) = 8*o - 13. Let s(u) = -4*u + 6. Let a(h) = 13*s(h) + 6*w(h). Let x(p) = 56*a(p) + 6*g(p). What is r(x(j))?
8*j
Let w(c) = -1798*c. Let z(t) = -9*t. What is z(w(u))?
16182*u
Let x(q) = 5*q**2. Let a(m) = 26*m + 26*m + 204*m**2 + 25*m - 77*m. Calculate x(a(j)).
208080*j**4
Let o(q) be the first derivative of -6*q**2 + 35. Let g(x) = -x**2 + 3*x - 3. Let l(r) = -r**2 + r - 1. Let w(d) = g(d) - 3*l(d). Give w(o(a)).
288*a**2
Let p(h) = -7*h**2. Let t(v) = 161*v**2 - 35*v. Let j(i) = -27*i**2 + 6*i. Let r(d) = -35*j(d) - 6*t(d). What is r(p(f))?
-1029*f**4
Let u(b) = 2*b**2. Let d(m) = 7. Let v(n) = n + 13. Let y(o) = -11*d(o) + 6*v(o). What is u(y(x))?
72*x**2 + 24*x + 2
Suppose 4 + 4 = 4*w. Let l(k) = w*k**2 - 1164*k + 1164*k. Let h(r) = 11*r**2. What is h(l(x))?
44*x**4
Let p(j) = 8*j**2. Let n(r) = -21 + r + 13 + 7. Let f(d) = -d**2 - 4*d + 4. Let y(c) = f(c) + 4*n(c). Calculate y(p(h)).
-64*h**4
Let j(q) be the first derivative of -10*q**2 - 63. Let f(k) = 3*k**2. Calculate f(j(s)).
1200*s**2
Let i(p) = 8894908*p. Let j(b) = -2*b**2. Calculate j(i(w)).
-158238776656928*w**2
Suppose 0 = -3*u - p - 4*p - 12, 2*u - 17 = 5*p. Let b = 0 + 1. Let d(s) = -2*s - u + 3*s + b. Let c(a) = -3*a**2. What is c(d(v))?
-3*v**2
Let s(q) = 2*q. Let f(h) = 544435*h**2. Determine s(f(l)).
1088870*l**2
Let k be ((-9)/(-5))/((-3)/(-15)). Let t(c) = k*c**2 + 523*c - 523*c. Let q(j) = -j - 5 + 5. Calculate t(q(h)).
9*h**2
Let h(f) = 4*f. Let n(v) be the first derivative of -13 + 0*v - 7/2*v**2. Calculate n(h(y)).
-28*y
Let m(y) = -53 + 0*y - 54 + 107 + 3*y. Let w(v) be the first derivative of -10*v**3/3 - 3. Give w(m(f)).
-90*f**2
Let x(h) be the third derivative of h**5/60 - h**2. Let r(u) = -937085*u + 937085*u + u**2. Determine r(x(y)).
y**4
Let q(p) = -199*p. Let i(v) be the second derivative of v**4/6 + 102*v. Determine i(q(y)).
79202*y**2
Let a(z) be the second derivative of -7*z**6/720 - 5*z**4/12 + 16*z. Let r(f) be the third derivative of a(f). Let x(d) = 3*d**2. Determine r(x(b)).
-21*b**2
Let a(u) = 35*u**2. Let h(g) be the third derivative of g**5/60 + 2*g**2 - 283*g. Determine a(h(b)).
35*b**4
Let z(a) be the third derivative of -a**5/30 - 12*a**2 - 1. Let p(s) = 149*s + 1. What is p(z(d))?
-298*d**2 + 1
Let x(b) = 15*b. Let i(u) be the third derivative of u**6/360 + 23*u**3/6 - 17*u**2. Let w(o) be the first derivative of i(o). What is x(w(a))?
15*a**2
Let v(k) = -k + 45. Let i(b) = -20*b. Determine i(v(t)).
20*t - 900
Let f(o) = -8*o**2. Let w(q) be the second derivative of -13*q**4/12 + 213*q. What is w(f(x))?
-832*x**4
Suppose 5*j - 2 = 3*f + 2, 4*f + 10 = 2*j. Let b(z) = z. Let k(m) = 5*m. Let i = -431 - -430. Let n(h) = f*b(h) + i*k(h). Let l(r) = -r**2. Calculate n(l(g)).
8*g**2
Let u(g) = g. Let c(y) = 15*y**2 - 21. Let x = -6 - 15. Let t(b) = -3*b**2 + 4. Let v(o) = x*t(o) - 4*c(o). What is u(v(r))?
3*r**2
Suppose -2*n - 137 = -3*s, s - 43 = 3*n - n. Let c(a) = s + a**2 - 47. Let x(b) = 21*b**2. What is x(c(q))?
21*q**4
Let y(i) = 2*i**2 + 622*i. Let j(r) = -r**2 - 23. Calculate y(j(x)).
2*x**4 - 530*x**2 - 13248
Let q(r) be the second derivative of -r**4/6 + 2*r. Let p(l) be the third derivative of l**5/15 + 11*l**2 - 10*l. Determine q(p(h)).
-32*h**4
Let r(o) = 47*o + 61*o - 98*o. Let m(w) = -4*w**2. Determine m(r(g)).
-400*g**2
Let m(r) = -97*r**2 + 121*r + 2. Let a(g) = 5*g. Determine a(m(n)).
-485*n**2 + 605*n + 10
Let a(w) = 6*w. Let o(j) be the third derivative of 17*j**5/30 - 182*j**2. Calculate o(a(k)).
1224*k**2
Let f(t) = 5*t - 12*t + 7*t + t. Let z(g) = -2*g**2 - 1. Let h(l) = 1. Let j(c) = -2*h(c) - 2*z(c). Give f(j(k)).
4*k**2
Let c(m) = -15*m - 5. Let w(v) = -v. Let y(a) = -5*a - 1. Let k(p) = -4*w(p) + y(p). Let x(z) = -2*c(z) + 10*k(z). Let h(l) = l. Calculate h(x(t)).
20*t
Let j(q) = q**2 - q - 1. Let x(m) = -4*m**2 + 6*m - 17. Let y(h) = 6*j(h) + x(h). Let b(t) be the first derivative of y(t). Let w(s) = 2*s**2. What is w(b(f))?
32*f**2
Let r(d) = -2*d + 410. Let i(k) = 2173*k. Determine i(r(u)).
-4346*u + 890930
Let r(q) be the third derivative of -q**7/1680 + 7*q**5/30 - 51*q**2. Let m(i) be the third derivative of r(i). Let l(k) = -10*k. Calculate m(l(x)).
30*x
Let n(j) = 2*j**2 - 2098*j - 9. Let f(k) = 2*k**2. Determine n(f(l)).
8*l**4 - 4196*l**2 - 9
Let w(k) = -24*k. Let i(z) = -28*z**2 - 138. What is w(i(r))?
672*r**2 + 3312
Let k(q) = 23*q. Let z(r) = -285*r - 79. What is z(k(t))?
-6555*t - 79
Let g(q) = 81*q**2. Let n(k) = 5999266 - 7*k - 5999266. What is n(g(u))?
-567*u**2
Let r(y) = -11*y**2 - 6*y - 3. Let f(u) = -u**2 + 2*u + 1. Let k(b) = -3*f(b) - r(b). Let m(g) = 27*g**2. Calculate k(m(l)).
10206*l**4
Let q(n) = 2*n. Let i(c) = -c**2 - 10762*c. Give i(q(d)).
-4*d**2 - 21524*d
Let y(g) = -9*g - 8872. Let s(h) = -h. What is s(y(z))?
9*z + 8872
Let g(f) = -3*f + 29. Let z(w) = 15*w - 144. Let y(d) = -24*g(d) - 5*z(d). Let c(l) = -l. Give y(c(a)).
3*a + 24
Let p(a) = -51*a + 194*a - 51*a - 46*a - 50*a. Let t(w) = -5*w**2 - 3. What is t(p(q))?
-80*q**2 - 3
Let q(n) = -8*n. Suppose -5*p - 5*z + 115 = 0, 0*p + p + 5*z - 39 = 0. Let y(m) = 0 - 17*m + p*m + 0. Determine y(q(d)).
-16*d
Let o(p) = 4*p. Let b(m) be the second derivative of -445*m**4/12 + 896*m. What is o(b(g))?
-1780*g**2
Suppose -2*y = d - 5*y - 15, 0 = 4*d - y - 5. Let t(w) be the second derivative of 1/12*w**4 + 0*w**3 - 2*w + d*w**2 + 0. Let b(p) = 3*p. Determine t(b(o)).
9*o**2
Let x(b) = -631334*b - 4. Let j(p) = -2*p. Give j(x(t)).
1262668*t + 8
Let z(d) = -d - 618. Let i(m) = 2*m**2 + 51*m. Give z(i(w)).
-2*w**2 - 51*w - 618
Let q(w) = 3*w. Let j(k) = -2*k - 44973. What is q(j(z))?
-6*z - 134919
Let q(r) = -59*r + 40. Let y(d) = 20*d - 15. Let x(u) = -3*q(u) - 8*y(u). Let s(b) = b. Let i(v) = -v**2 + v. Let o(j) = 4*i(j) - 4*s(j). Calculate o(x(z)).
-1156*z**2
Let b(p) = -p**2 - 6*p - 2. Let c(n) = 3*n**2 + 21*n + 7. Let i(u) = 7*b(u) + 2*c(u). Let o(z) = 23*z**2 + 1. Determine i(o(k)).
-529*k**4 - 46*k**2 - 1
Let i(u) = -u**2. Suppose 9*b - 2*b - 35 = 0. Let x(l) = 8*l - 5*l - b*l - 2*l. What is x(i(c))?
4*c**2
Let r(u) = 57708*u + 2*u**2 - 57708*u. Let z(x) = 74*x**2. Determine z(r(d)).
296*d**4
Let o(k) = k. Let t(b) = -2*b - 1. Let z be t(-1). Let w be (0 - (z + 1)) + 4. Let m(a) = w*a**2 - 4*a**2 - 8*a**2. Give m(o(i)).
-10*i**2
Let d(l) be the third derivative of -l**5/30 - 47*l**3/6 + 13*l**2 + 1. Let i(j) = -3*j**2. Give i(d(b)).
-12*b**4 - 564*b**2 - 6627
Let m(s) = -39*s + 5. Let a(r) = r**2 - 2*r + 3. Let o(x) = 2*x**2 - 6*x + 9. Let g(p) = -6*a(p) + 2*o(p). Calculate m(g(d)).
78*d**2 + 5
Let p be ((-34)/(-3))/(34/3417). Let v(m) = p - m - 1139. Let k(g) be the second derivative of -2*g**3/3 - g. Calculate k(v(z)).
4*z
Let b(c) be the third derivative of -c**4/24 - c**2. Let p(r) = 3*r**2 + 5*r + 5. Let l(d) = -3*d**2 - 6*d - 6. Let a(i) = 5*l(i) + 6*p(i). Give b(a(z)).
-3*z**2
Let h(r) be the third derivative of r**4/12 - 3*r**3/2 - 863*r**2. Let d(l) = -l. Calculate h(d(x)).
-2*x - 9
Let p(j) = -j. Suppose -60 = 5*d + 20. Let r be (-4)/2*(d + 14). Let k(h) = r*h - h - 3*h - 2*h. Determine p(k(x)).
2*x
Let m(z) = -508151*z**2. Let y(v) = 2*v**2. What is y(m(r))?
516434877602*r**4
Let v(c) = 40*c - 10. Let j(g) = 8*g**2. Give v(j(k)).
320*k**2 - 10
Let k(q) = -q. Let a = 16 + -12. Suppose -p - a = p. Let f(l) = 3*l**2 - 2*l. Let z(j) = -21*j**2 + 15*j. Let b(t) = p*z(t) - 15*f(t). Calculate k(b(i)).
3*i**2
Let f(j) = 57*j. Let s(t) = -t - 46305 + 46305. Calculate f(s(o)).
-57*o
Let s(p) = -p + 8*p - 18*p + 3*p. Let g(v) = -3*v + 21. Give g(s(w)).
24*w + 21
Let b(x) = -22*x**2 - 24. Let z(y) = 9*y**2 + 10. Let q(f) = -5* | {
"pile_set_name": "DM Mathematics"
} |
ree letters picked without replacement from hhhhaahhhhhahhhhhhhh. Give prob of sequence ahh.
34/285
What is prob of sequence vpgw when four letters picked without replacement from dppplgpdppvdldpdw?
1/8160
Three letters picked without replacement from tpppptppppptptpplppt. Give prob of sequence ltt.
1/342
Calculate prob of sequence gg when two letters picked without replacement from {i: 2, g: 2}.
1/6
Calculate prob of sequence qit when three letters picked without replacement from {i: 2, q: 5, u: 1, t: 1}.
5/252
Two letters picked without replacement from qpnwnet. What is prob of sequence tq?
1/42
Four letters picked without replacement from {g: 10, m: 2}. What is prob of sequence gmmm?
0
Calculate prob of sequence ey when two letters picked without replacement from zmzwzzeeeyezmze.
1/42
Calculate prob of sequence qa when two letters picked without replacement from eqetqezaedttteaeeede.
1/95
Calculate prob of sequence yl when two letters picked without replacement from yyxyjzllljl.
6/55
What is prob of sequence fgfq when four letters picked without replacement from {f: 2, g: 1, n: 1, q: 2}?
1/90
What is prob of sequence czzc when four letters picked without replacement from {c: 4, z: 6}?
1/14
Four letters picked without replacement from cffvbdy. Give prob of sequence yfdv.
1/420
Three letters picked without replacement from {g: 2, x: 1}. Give prob of sequence xgg.
1/3
Four letters picked without replacement from ssuauauuubuauaubuuua. Give prob of sequence ubba.
11/11628
Two letters picked without replacement from {u: 6, m: 1, e: 4}. Give prob of sequence uu.
3/11
Calculate prob of sequence wd when two letters picked without replacement from btmwdbtmbdbwbbm.
2/105
Four letters picked without replacement from {s: 6, o: 1, n: 1, c: 5, a: 3, i: 1}. Give prob of sequence acon.
1/3808
Calculate prob of sequence vc when two letters picked without replacement from rcv.
1/6
Three letters picked without replacement from {b: 9, v: 2}. What is prob of sequence bbb?
28/55
Three letters picked without replacement from kkxpwkkppxppwpkppupp. Give prob of sequence kwp.
5/342
What is prob of sequence vh when two letters picked without replacement from qhhqqhqhhqhvh?
7/156
What is prob of sequence iv when two letters picked without replacement from iiiviiiiiiiiiiiiivi?
17/171
What is prob of sequence aqya when four letters picked without replacement from {a: 8, q: 1, f: 1, i: 2, y: 2}?
2/429
Two letters picked without replacement from lllllllllllg. What is prob of sequence gl?
1/12
Three letters picked without replacement from {j: 2, f: 11}. Give prob of sequence ffj.
5/39
Two letters picked without replacement from {v: 1, n: 2, r: 1, e: 1}. Give prob of sequence er.
1/20
Calculate prob of sequence gaaa when four letters picked without replacement from aggggagggagggg.
1/364
Three letters picked without replacement from sjjjjs. What is prob of sequence jjs?
1/5
Calculate prob of sequence ca when two letters picked without replacement from caaccacaccaa.
3/11
Calculate prob of sequence iw when two letters picked without replacement from zzwiwzzzwwwwwzzzzzzz.
7/380
Four letters picked without replacement from {v: 5, o: 4, t: 10}. Give prob of sequence ttoo.
15/1292
Two letters picked without replacement from {w: 2, n: 3, z: 10, r: 1}. Give prob of sequence ww.
1/120
Two letters picked without replacement from zxx. What is prob of sequence zx?
1/3
Four letters picked without replacement from {q: 8, p: 2, z: 3, e: 2, t: 1, j: 4}. What is prob of sequence jetp?
2/14535
Calculate prob of sequence xn when two letters picked without replacement from {n: 1, x: 1, o: 1}.
1/6
What is prob of sequence bbnn when four letters picked without replacement from bnbbbbbbnbbnnn?
60/1001
Two letters picked without replacement from fcbfqbccbbffcfbb. Give prob of sequence bf.
1/8
Calculate prob of sequence rj when two letters picked without replacement from grggqqqqrjgggqgggq.
1/153
What is prob of sequence uzz when three letters picked without replacement from {z: 2, u: 6}?
1/28
Three letters picked without replacement from {i: 2, c: 4, b: 1}. What is prob of sequence cii?
4/105
Two letters picked without replacement from {z: 3, i: 3}. What is prob of sequence zi?
3/10
What is prob of sequence lyl when three letters picked without replacement from zlzlylllglllylnlll?
11/204
What is prob of sequence llf when three letters picked without replacement from llltftlttlt?
2/99
Calculate prob of sequence ffm when three letters picked without replacement from ffueefeffnjmee.
5/546
Three letters picked without replacement from {q: 1, i: 3, w: 2, n: 1}. Give prob of sequence nnn.
0
Three letters picked without replacement from {i: 2, f: 1, k: 1, h: 2, t: 1, w: 2}. Give prob of sequence hwk.
1/126
Calculate prob of sequence hgg when three letters picked without replacement from tghohghgggththtgho.
5/136
Calculate prob of sequence qv when two letters picked without replacement from {e: 11, q: 4, v: 4}.
8/171
Three letters picked without replacement from {d: 11, b: 1, j: 3}. Give prob of sequence jjj.
1/455
Three letters picked without replacement from unmu. Give prob of sequence unm.
1/12
Four letters picked without replacement from mpppmmpppmpmp. Give prob of sequence mmpp.
28/429
Four letters picked without replacement from {o: 1, z: 1, w: 2, s: 1, m: 1, a: 1}. What is prob of sequence zzzz?
0
What is prob of sequence ffi when three letters picked without replacement from {z: 3, g: 2, f: 4, i: 1}?
1/60
Three letters picked without replacement from {l: 7, o: 2, h: 3}. Give prob of sequence llh.
21/220
What is prob of sequence rv when two letters picked without replacement from {f: 1, r: 1, j: 1, a: 5, v: 1}?
1/72
Calculate prob of sequence bx when two letters picked without replacement from xxxbbxxb.
15/56
What is prob of sequence daha when four letters picked without replacement from {a: 5, d: 3, h: 4}?
2/99
What is prob of sequence kj when two letters picked without replacement from {j: 1, l: 2, k: 2}?
1/10
What is prob of sequence awi when three letters picked without replacement from wwnwwaiiwwaiaf?
9/364
Calculate prob of sequence ffc when three letters picked without replacement from {g: 4, f: 6, u: 7, c: 1, z: 2}.
1/228
What is prob of sequence eoey when four letters picked without replacement from {o: 4, y: 13, e: 3}?
13/4845
Calculate prob of sequence kk when two letters picked without replacement from {n: 1, k: 2, y: 2, d: 1}.
1/15
Two letters picked without replacement from {z: 6, c: 2, j: 1, w: 5, q: 1, k: 2}. Give prob of sequence qc.
1/136
Four letters picked without replacement from yyyyyy. What is prob of sequence yyyy?
1
What is prob of sequence jnj when three letters picked without replacement from {j: 2, a: 1, n: 1}?
1/12
Two letters picked without replacement from icicqqiiiccii. What is prob of sequence ci?
7/39
Calculate prob of sequence fg when two letters picked without replacement from {y: 2, f: 3, h: 1, g: 4, n: 1, r: 1}.
1/11
What is prob of sequence oooi when four letters picked without replacement from {o: 5, i: 14}?
35/3876
Calculate prob of sequence nn when two letters picked without replacement from {d: 1, n: 2}.
1/3
Four letters picked without replacement from {w: 1, v: 2, o: 4, q: 4, k: 3, h: 1}. What is prob of sequence owhq?
2/4095
Two letters picked without replacement from {g: 1, t: 3, k: 2, q: 13, l: 1}. Give prob of sequence lk.
1/190
Calculate prob of sequence eqe when three letters picked without replacement from {q: 5, e: 5}.
5/36
Calculate prob of sequence ttii when four letters picked without replacement from tiitttiittittttttt.
13/306
Calculate prob of sequence aa when two letters picked without replacement from {n: 8, q: 2, r: 1, z: 4, l: 2, a: 2}.
1/171
Four letters picked without replacement from zpppzzz. What is prob of sequence zpzz?
3/35
Calculate prob of sequence lauu when four letters picked without replacement from {k: 1, z: 1, a: 4, u: 3, l: 2, h: 4}.
2/1365
Calculate prob of sequence kd when two letters picked without replacement from vvbkbdbbkkbbbbbk.
1/60
Two letters picked without replacement from {q: 2, k: 3}. Give prob of sequence qq.
1/10
Two letters picked without replacement from kxbkp. Give prob of sequence pk.
1/10
What is prob | {
"pile_set_name": "DM Mathematics"
} |
03
List the prime factors of 2884612951.
11, 109, 503, 4783
List the prime factors of 85949192.
2, 7, 71, 21617
What are the prime factors of 1048055465?
5, 563, 372311
What are the prime factors of 4831489043?
19, 23, 11056039
List the prime factors of 28648583.
1597, 17939
What are the prime factors of 4712644287?
3, 13, 13426337
What are the prime factors of 4216516517?
1511, 2790547
What are the prime factors of 12919733?
12919733
What are the prime factors of 151182211?
41, 1297, 2843
List the prime factors of 13129860.
2, 3, 5, 59, 3709
List the prime factors of 40617835.
5, 29, 373, 751
What are the prime factors of 1181041738?
2, 523, 1129103
What are the prime factors of 43552096?
2, 7, 17, 11437
What are the prime factors of 135171617?
7, 113, 170887
What are the prime factors of 176972510?
2, 5, 11, 13, 123757
List the prime factors of 853324230.
2, 3, 5, 11, 173, 14947
List the prime factors of 169283741.
11, 67, 229693
List the prime factors of 159596453.
2069, 77137
What are the prime factors of 112683949?
7, 41, 199, 1973
What are the prime factors of 122686909?
17, 523, 13799
List the prime factors of 78404710.
2, 5, 41, 191231
What are the prime factors of 13636590?
2, 3, 5, 11, 31, 43
List the prime factors of 14329941.
3, 4776647
List the prime factors of 62520055.
5, 13, 961847
What are the prime factors of 363927399?
3, 11, 59, 186917
What are the prime factors of 1044824326?
2, 7, 13, 19, 73, 4139
List the prime factors of 68479480.
2, 5, 859, 1993
List the prime factors of 198633823.
2731, 72733
List the prime factors of 463321410.
2, 3, 5, 15444047
List the prime factors of 2716847982.
2, 3, 401, 376399
List the prime factors of 124405865.
5, 24881173
What are the prime factors of 4048473062?
2, 2024236531
What are the prime factors of 719244170?
2, 5, 71924417
List the prime factors of 9778670.
2, 5, 11, 88897
What are the prime factors of 3501037756?
2, 193, 211, 21493
List the prime factors of 442051221.
3, 17, 509863
What are the prime factors of 311978262?
2, 3, 197, 263941
What are the prime factors of 5883472152?
2, 3, 1297, 21001
List the prime factors of 5930095578.
2, 3, 11, 73, 107, 11503
List the prime factors of 49072302.
2, 3, 17, 160367
What are the prime factors of 41461090?
2, 5, 11, 37, 61, 167
List the prime factors of 165956115.
3, 5, 13, 851057
What are the prime factors of 115215600?
2, 3, 5, 96013
What are the prime factors of 1931369383?
1931369383
List the prime factors of 926175599.
926175599
List the prime factors of 509042004.
2, 3, 37, 1146491
List the prime factors of 533143413.
3, 11, 5385287
What are the prime factors of 647775175?
5, 29, 727, 1229
List the prime factors of 301222792.
2, 13, 2896373
What are the prime factors of 1402327970?
2, 5, 140232797
What are the prime factors of 2058163506?
2, 3, 7, 109, 16651
List the prime factors of 1734106958.
2, 167, 971, 5347
List the prime factors of 68645503.
68645503
List the prime factors of 314192094.
2, 3, 19, 2756071
List the prime factors of 24292467.
3, 47, 709
List the prime factors of 1183157220.
2, 3, 5, 7, 61, 46181
List the prime factors of 750667107.
3, 250222369
What are the prime factors of 85080989?
7, 73, 167, 997
What are the prime factors of 304554675?
3, 5, 4060729
List the prime factors of 13221888.
2, 3, 269
List the prime factors of 4922472773.
43, 114476111
What are the prime factors of 2309700438?
2, 3, 5303, 24197
List the prime factors of 2076392986.
2, 1187, 874639
What are the prime factors of 67843637?
43, 1577759
List the prime factors of 19211726.
2, 229, 41947
What are the prime factors of 29498265?
3, 5, 655517
What are the prime factors of 203665295?
5, 677, 60167
List the prime factors of 55935589.
197, 283937
List the prime factors of 1018296893.
1018296893
List the prime factors of 558489809.
251, 2225059
List the prime factors of 272923073.
4337, 62929
What are the prime factors of 1171660887?
3, 4409, 29527
What are the prime factors of 1865064109?
7487, 249107
List the prime factors of 303049329.
3, 11, 139, 66067
What are the prime factors of 53744731?
31, 1733701
List the prime factors of 197892933.
3, 7, 31, 303983
What are the prime factors of 8235013?
8235013
What are the prime factors of 15960120?
2, 3, 5, 11, 107, 113
List the prime factors of 2205963.
3, 245107
What are the prime factors of 105914093?
1399, 75707
List the prime factors of 46713840.
2, 3, 5, 59, 3299
List the prime factors of 2183377691.
11, 2113, 93937
What are the prime factors of 49499156?
2, 7, 181, 9767
What are the prime factors of 279750829?
7537, 37117
List the prime factors of 592017601.
7, 1019, 82997
List the prime factors of 1219136695.
5, 7, 1019, 34183
What are the prime factors of 56999175?
3, 5, 23, 173, 191
List the prime factors of 128916372.
2, 3, 13, 17, 48611
List the prime factors of 110570479.
110570479
What are the prime factors of 160001088?
2, 3, 13, 4931
What are the prime factors of 8824585?
5, 7, 11, 22921
What are the prime factors of 3414155856?
2, 3, 1307, 54421
List the prime factors of 166397105.
5, 7, 17, 279659
What are the prime factors of 2193504630?
2, 3, 5, 127, 575723
List the prime factors of 987767678.
2, 53, 101, 257, 359
List the prime factors of 21839126.
2, 83, 131561
List the prime factors of 3702595711.
43, 89, 967493
What are the prime factors of 54828435?
3, 5, 23, 158923
What are the prime factors of 123890165?
5, 7, 19, 186301
What are the prime factors of 41803378?
2, 241, 86729
List the prime factors of 20456823.
3, 6818941
What are the prime factors of 25681740?
2, 3, 5, 7, 47, 1301
What are the prime factors of 42710878?
2, 7, 3050777
What are the prime factors of 2914972589?
89, 32752501
List the prime factors of 5449135.
5, 227, 4801
What are the prime factors of 2602558589?
47, 431, 128477
What are the prime factors of 135147706?
2, 571, 118343
What are the prime factors of 22693556?
2, 967, 5867
List the prime factors of 6617325412.
2, 17, 619, 157211
List the prime factors of 38041304.
2, 7, 679309
List the prime factors of 253397135.
5, 50679427
List the prime factors of 225971753.
7, 1201, 26879
What are the prime factors of 1038748481?
1038748481
What are the prime factors of 34171844?
2, 7, 1220423
What are the prime factors of 425407145?
5, 113, 752933
List the prime factors of 115705901.
83, 1394047
What are the prime factors of 7175519282?
2, 79, 45414679
What are the prime factors of 289097264?
2, 18068579
List the prime factors of 1715696553.
3, 61, 9375391
List the prime factors of 74676207.
3, 24892069
What are the prime factors of 1754016?
2, 3, 11, 151
List the prime factors of 383055107.
383055107
List the prime factors of 26702044.
2, 1583, 4217
List the prime factors of 1077500770.
2, 5, 257, 419261
List the prime factors of 2757708139.
2757708139
What are the prime factors of 2433205037?
19, 53, 173, 13967
What are the prime factors of 1058159687?
13, 81396899
What are the prime factors of 931809310?
2, 5, 47, 1982573
List the prime factors of 246639026.
2, 17, 29, 41, 6101
List the prime factors of 440485195.
5, 88097039
List the prime factors of 224986069.
7, 11, 23, 11549
What are the prime factors of 286460061?
3, 4021, 23747
List the prime factors of 25740177.
3, 881, 9739
List the prime factors of 6383887709.
101, 997, 63397
List the prime factors of 1480510862.
2, 740255431
List the prime factors of 720905259.
3, 61, 3939373
List the prime factors of 47890903.
47890903
What are the prime factors of 52395943?
67, 151, 5179
What are the prime factors of 5948687261?
11, 540789751
List the prime factors of 274407888.
2, 3, 263, 21737
List the prime factors of 1017676441.
71, 599, 23929
List the prime factors of 38981074.
2, 11, 31, 61, 937
List the prime factors of 113728847.
113728847
List the prime factors of 9800152.
2, 1225019
List the prime factors of 311668340.
2, 5, 281, 55457
What are the prime factors of 385270964?
2, 13, 101, 109, 673
List the prime factors of 208866216.
2, 3, 13, 17, 53, 743
List the prime factors of 304217743.
29, 277, 37871
What are the prime factors of 314474826?
2, 3, 79, 349, 1901
What are the prime factors of 4485731256?
2, 3, 62301823
What are the prime factors of 758065572?
2, 3, 11, 19, 53, 1901
List the | {
"pile_set_name": "DM Mathematics"
} |
t z(i) = 3*i**3 + 4*i**2 + 40*i - 4. Give 4*u(g) - 5*z(g).
-3*g**3 - 40*g
Let t(b) = -116*b**2. Let a(d) = -117*d**2. Give 3*a(w) - 2*t(w).
-119*w**2
Let u(i) = 3*i**2 + 4*i + 149. Let z(q) = 2*q**2 + 3*q + 148. What is 3*u(a) - 4*z(a)?
a**2 - 145
Let y(z) = 7*z**3 + 4*z**2 - z + 6. Let h(v) be the first derivative of 2*v**4 + 5*v**3/3 - v**2/2 + 7*v - 79. Determine 6*h(u) - 7*y(u).
-u**3 + 2*u**2 + u
Let k(z) = -6*z. Let q(w) = w**2 + 5*w. Let r(m) = m**2 + 12*m + 6. Let b be r(-11). Let n = -286 - -280. Determine b*k(y) + n*q(y).
-6*y**2
Let j(c) = -20*c**3 - 9*c**2 - 9*c. Let s(i) = 5*i**3 + 2*i**2 + 2*i. Let x be 3 + (-5)/(-1*(3 + -4)). Determine x*j(y) - 9*s(y).
-5*y**3
Let c(u) = 11*u - 9. Let z(d) = -3*d + 2. Suppose -3*i - 6 = 3*l, -4*i + 3*i + 2*l - 2 = 0. Calculate i*c(j) - 9*z(j).
5*j
Let x be 9/(-12)*2*52/(-39). Let r(f) = -25*f**3. Let o(l) = 8*l**3. What is x*r(v) + 7*o(v)?
6*v**3
Let i(u) = -3*u**2 - 5*u - 1. Suppose 2*m + 15 = 7*m. Suppose -2*s + 4 = -m*s. Let c(f) = -3 - 8*f**2 + 2*f - 9*f - 7*f. Give s*c(d) + 11*i(d).
-d**2 + d + 1
Let j(w) = 5*w**3 - w - 5. Let h(x) = -126 + 55 + 60 + 14*x**3 - 3*x - 3*x**3. Determine 6*h(u) - 13*j(u).
u**3 - 5*u - 1
Let q = 5 - 11. Let a(m) = -1 - 1 - m + 3 + 0 - 2. Suppose 0 = g - 3 + 1. Let d(b) = -2*b - 3. Give g*d(w) + q*a(w).
2*w
Let r(x) = 5*x + 4. Let h be 21/15 - (-2)/(-5). Suppose -3*u - h = -13. Let c(t) = 6 + u*t + 11 - 14. Give 4*c(p) - 3*r(p).
p
Let h(a) = -7*a**3 + 3*a**2 + 4*a - 18. Let q(r) = -5*r**3 + 3*r**2 + 2*r - 17. Calculate -2*h(z) + 3*q(z).
-z**3 + 3*z**2 - 2*z - 15
Let b(n) = 478*n + 6. Let g(a) = 241*a + 4. Give -3*b(q) + 5*g(q).
-229*q + 2
Let x be -2*(-5 - -2) + 5. Let f(j) = -12 - 338*j - 9 + 322*j. Let a(t) = 3*t + 4. Give x*a(n) + 2*f(n).
n + 2
Let r(f) = -2*f**3 - f**2 + 2*f - 3. Let j(o) = 2*o**3 + o**2 - 2. Let i(d) = -11*d**3 - 5*d**2 - d + 13. Let s(n) = i(n) + 6*j(n). Give -r(m) - s(m).
m**3 - m + 2
Let u(j) = -9*j - 1. Let w(f) = f. Let z be 60/90*(-3)/(-2). Calculate z*u(l) + 5*w(l).
-4*l - 1
Let a(y) = -19*y**3 - 6*y**2 - 10*y + 10. Let r(g) = -13*g**3 - 4*g**2 - 7*g + 7. Calculate 5*a(m) - 7*r(m).
-4*m**3 - 2*m**2 - m + 1
Let h(k) = -33*k**2 - 4*k - 1. Let a(o) = 98*o**2 + 11*o + 3. Determine 6*a(q) + 17*h(q).
27*q**2 - 2*q + 1
Let q(b) = -53*b + 32. Let l(v) = -150*v + 95. Calculate -6*l(m) + 17*q(m).
-m - 26
Let o(x) = -13*x + 154. Let c be o(12). Let q(v) = -15*v + 2. Let r(p) = p - 1. Determine c*r(s) - q(s).
13*s
Let h(p) = 6*p**3 - 4*p - 33. Let d(q) = 9*q**3 - 6*q - 50. Calculate -5*d(y) + 8*h(y).
3*y**3 - 2*y - 14
Let i(r) = -r**2 - 2*r. Let q(j) = -2*j**2 + 14*j - 6. Determine 8*i(n) + q(n).
-10*n**2 - 2*n - 6
Let g(z) = -209*z**3. Let r(o) = -23*o**3. What is 2*g(s) - 19*r(s)?
19*s**3
Let x(j) = -j - 1. Let a(t) = 2*t**2 - 5*t - 3. Let z be (22/(-4))/(-1) - (-3)/(-2). Suppose -5*k = -k - 4, 3*f + 11 = -z*k. Calculate f*x(b) + a(b).
2*b**2 + 2
Let q(y) = 7*y**2 - 7*y + 41. Let p(r) = -4*r**2 + 4*r - 21. Determine 5*p(m) + 3*q(m).
m**2 - m + 18
Let m = 3 + 3. Suppose o - 4*s + 3 = 8, 0 = -5*o - 3*s + 71. Let x(v) = 9*v - o*v - 2*v - 5*v**2 - 2 + v**2. Let d(h) = h**2 + h. Calculate m*d(r) + x(r).
2*r**2 - 2
Let m(x) = x**2 - x - 1. Let q(h) = h**3 + 6*h**2 - 7*h + 1. Let z be q(-7). Let d(g) = g - 5 - 3*g**2 + 0*g + 3*g + 6 - 6*g. Calculate z*d(y) + 2*m(y).
-y**2 - 4*y - 1
Let t(a) = -7*a**2 - 4*a + 1. Let o(g) be the second derivative of 2*g**4/3 + 5*g**3/6 - g**2/2 - 62*g. Give 5*o(h) + 6*t(h).
-2*h**2 + h + 1
Let h(v) = -85*v - 25. Let j(i) = 7*i + 2. Let o(m) = -2*m**3 - 3*m**2 + 6*m - 7. Let z be o(-5). Let u = z + -163. What is u*j(c) - 2*h(c)?
-5*c
Let v be 3/2*(21/9 + -5). Let j(s) = -4*s**2 + 5. Let f(u) = 1. Determine v*f(g) + j(g).
-4*g**2 + 1
Let u(b) be the second derivative of 11*b**5/20 + 13*b**4/12 + 6*b**2 - 432*b. Let a(x) = -5*x**3 - 6*x**2 - 6. Give -13*a(f) - 6*u(f).
-f**3 + 6
Let a be 3/1 + 1/(-1). Suppose -4 = a*d - 4*d. Let v(m) = -17*m - d + 32*m - 23*m. Let c(r) = -15*r - 4. What is -6*c(k) + 11*v(k)?
2*k + 2
Let b(q) = -4*q**3 - 4*q. Suppose 3*i - 2 = 5*p + 7, -p = 3. Let u(g) = -3*g**3 - 3*g. Give i*b(a) + 3*u(a).
-a**3 - a
Let t(o) = -3*o + 12. Let b(y) = -9*y + 40. What is 4*b(i) - 11*t(i)?
-3*i + 28
Let u(z) be the second derivative of -z**3 + 4*z**2 - 40*z. Let t = -30 - -6. Let b = t + 13. Let o(i) = -2*i + 3. Calculate b*o(q) + 4*u(q).
-2*q - 1
Let f(s) = 2 - s + 12*s**2 - 1 - 11*s**2. Let v(b) = -2*b**3 + 2*b**2 - 2*b + 6. Determine -2*f(j) + v(j).
-2*j**3 + 4
Let f(d) = -4*d**2 - 4*d + 14. Let z(c) = 7*c**2 + 9*c - 30. Determine 7*f(j) + 3*z(j).
-7*j**2 - j + 8
Let g(f) = -304*f**2 + 5*f - 5. Let p(l) = -l**2 + l - 1. Calculate g(r) - 5*p(r).
-299*r**2
Let n(y) = 2*y - 8. Let w(l) = 1. What is -4*n(d) - 36*w(d)?
-8*d - 4
Let d(c) = c - 124. Let v(p) = -3*p + 251. Give 7*d(u) + 3*v(u).
-2*u - 115
Let l(u) = -1303*u. Let h(p) = -2*p. Determine -5*h(o) + l(o).
-1293*o
Let a(x) = -107*x**2 + 12*x + 7. Let u(t) = -54*t**2 + 5*t + 3. Give -3*a(p) + 7*u(p).
-57*p**2 - p
Let j(k) = -3*k**2 - k - 2. Let q(w) = -16*w**2 - 2*w - 3. Calculate -4*j(m) + q(m).
-4*m**2 + 2*m + 5
Let t(z) = -z**3 + 76*z**2 + 7*z + 5. Let k(w) = w**3 - 76*w**2 - 6*w - 4. What is -5*k(c) - 4*t(c)?
-c**3 + 76*c**2 + 2*c
Let k = -42 + 44. Suppose 10 = k*w + 114. Let m(l) = -18*l. Let h(a) = 2*a. Calculate w*h(v) - 6*m(v).
4*v
Let z = -32 - -75. Suppose z = 2*k + 27. Let l(a) = 2*a + 3. Let b(p) = 6*p + 9. What is k*l(q) - 3*b(q)?
-2*q - 3
Let f(s) = 56*s**3 + 3*s. Let y(v) = -168*v**3 - 10*v. Give -10*f(o) - 3*y(o).
-56*o**3
Let n(d) = -56*d**2 - 9*d + 6. Let i(p) = 28*p**2 + 6*p - 4. Calculate 5*i(r) + 3*n(r).
-28*r**2 + 3*r - 2
Let v(i) = 6*i - 4. Let m be ((-3)/(-3))/((-4)/(-4)). Let u(o) = o - 1. Calculate m*v(p) - 2*u(p).
4*p - 2
Let p(j) = -262*j + 24. Let r(h) = -132*h + 11. Give 6*p(g) - 13*r(g).
144*g + 1
Let z(x) = -39*x**3 - x**2 - 2*x - 16. Let j(g) = 59*g**3 + 2*g**2 + 3*g + 25. What is -5*j(h) - 8*z(h)?
17*h**3 - 2*h**2 + h + 3
Let d(y) = y. Suppose -2*w - 23 + 7 = 0. Let j be (-2 - (-3)/2)*32/w. Let k(r) = 5*r. What is j*k(l) - 11*d(l)?
-l
Let c(y) be the second derivative of -11/6*y**3 + 1/3*y**4 + 0*y**2 + 0 - y. Suppose -4*n - 31 = -7. Let k(s) = -2*s**2 + 6*s. Give n*c(d) - 11*k(d).
-2*d**2
Let r(w) = -6 + 6*w - w - 125*w**2 + 0 + 9*w**3 + 120*w**2. Let l(o) = 10*o**3 - 6*o**2 + 6*o - 7. Calculate -5*l(f) + 6*r(f).
4*f**3 - 1
Let f(o) = 2*o**3 + 2*o**2 + 1. Let m(a) = 511*a**3 + 6*a**2 + 5. Give 3*f(q) - m(q).
-505*q**3 - 2
Let l(h) = -54 - 62 + h + 116. Let t(k) = -2*k. Calculate -2*l(x) + t(x).
-4*x
Let p(j) = 26*j**2 - 10*j - 1. Let q(w) = -53*w**2 + 18*w + 2. Determine 7*p(m) + 4*q(m).
-30*m**2 + 2*m + 1
Suppose 3*h = -2*h - 55. Let r(m) = 7*m**3 - 5*m**2 - 6*m - 4. Suppose 0 = 16*v + 24 - 120. Let g(a) = 13*a**3 - 9*a**2 - 11*a - 7. Determine h*r(t) + v*g(t).
t**3 + t**2 + 2
Let f(s) = -s**2 + s + 1. Let z(c) = 18 + 2*c**2 - 14 + 31*c - 29*c. Give 3*f(b) - z(b).
-5*b**2 + b - 1
Let h(t) = -178*t**3 + 2*t - 5. Let r(w) = 89*w**3 - w + 3. What is 3*h(l) + 5*r(l)?
-89*l**3 + l
Let a(g) = 8*g**2 - 14*g. Suppose 4*m = -2*l + 26, -3*l + 3*m = -0*l - 30. Let s(w) = -3*w**2 + 5*w. Calculate l*s(d) + 4*a(d).
-d**2 - d
Let r(h) = -5*h - 6. Let x(n) be the third derivative of n**4/6 + 5*n**3/6 - 1349*n**2. Suppose 5*d - 55 = -5*j - 5, 3*j = -4*d + 34. Determine j*x(i) + 5*r(i).
-i
Let z(r) = 4*r**3 + r + 5. Let q(j) = 1. Let x = 389 + -393. Give x*q(m) + z(m).
4*m**3 + m + 1
Let y(i) = -3*i**3 + 2*i + 9. Let n(k) be the first derivative of -k**4/4 + k**2/2 - k - 84. What is -2*n(s) + y(s)?
-s**3 + 11
Let b(o) = 251*o + 9. Let z(h) = -253*h - 12. Give -4*b(n) - 3*z(n).
-245*n
Let u(m) = 11*m**2 - 13*m - 4. Let b(i) = 21*i**2 - 27*i - 7. Determine -3*b(d) + 5*u(d).
-8*d**2 + 16*d + 1
Let z(g) = 3*g + 2. Let f(y) = 2*y + 1. Calculate -3*f(d) + z(d).
-3*d - 1
Let s(n) = -23*n**2 - 20*n - 6. Let x(u) = -5*u**2 - 4*u + 1. Let i(t) = 6*t**2 + 5*t. Let b(a) = 3*i(a) + 2*x(a). Determine 17*b(q) + 6*s(q).
-2*q**2 - q - 2
Let m(u) = -1165*u**2 - 3. Let x(b) = -3619655*b**2 - 9320. Give -9320*m(t) + 3*x(t).
-1165*t**2
Let j(v) = v + 1. Let q be (1 - 13)*(-3)/9. Let u(h) = -1 - 5 - 3 - q*h + 2. Determine -6*j(t) - u(t).
-2*t + 1
Let p(v) | {
"pile_set_name": "DM Mathematics"
} |
e in -2/13, -1/3, 8, 1.9?
-2/13
Which is the third biggest value? (a) -2/9 (b) -3 (c) -2/25
b
Which is the smallest value? (a) -1 (b) -0.3 (c) -4 (d) 5/6
c
Which is the smallest value? (a) 2 (b) -4 (c) -1/3
b
Which is the third smallest value? (a) 2/15 (b) -4 (c) -2/11
a
Which is the second biggest value? (a) -0.2 (b) 0 (c) -0.3 (d) -39
a
What is the third biggest value in 0.5, 13, -39?
-39
What is the fourth biggest value in -2, -0.1, 11, 0.09, 0.3?
-0.1
Which is the fifth biggest value? (a) -2 (b) 0.4 (c) -0.06 (d) 7 (e) -7/2
e
Which is the third biggest value? (a) -3 (b) 2/3 (c) 1/4 (d) 3
c
Which is the third biggest value? (a) -2/67 (b) 11 (c) -2/17 (d) -5
c
What is the fourth biggest value in 325, -2, -0.2, -1/2?
-2
Which is the third biggest value? (a) -4 (b) -22 (c) 21 (d) 3/7
a
What is the second biggest value in 3/5, 475, 0.2?
3/5
Which is the biggest value? (a) -0.01 (b) 3 (c) -0.71 (d) -3
b
What is the third biggest value in -8, -181, -0.1?
-181
Which is the second smallest value? (a) 0.033 (b) -6 (c) -0.1
c
What is the second biggest value in -0.14, -3, -2/25, -2?
-0.14
Which is the third biggest value? (a) 2/3 (b) -317 (c) -0.5
b
What is the third biggest value in 16, 0.9, -2/3, 2/7?
2/7
What is the second biggest value in -2, -88/9, 3/8?
-2
What is the fourth smallest value in 1/5, -1.4, -2, -4, 0.1?
0.1
Which is the fourth biggest value? (a) -0.3 (b) 1/4 (c) 2/13 (d) -4/7
d
Which is the smallest value? (a) 0.4 (b) -31 (c) -1 (d) 5
b
Which is the smallest value? (a) -1.2 (b) 23/3 (c) 0.2
a
What is the fourth smallest value in 1, 0.2, 5, 2/11?
5
What is the fifth biggest value in -1/14, 4, -2/15, -2/5, -0.3?
-2/5
What is the fourth smallest value in -8, -3/7, -5, 0.5, 28?
0.5
Which is the third smallest value? (a) 6/7 (b) 2/5 (c) 5 (d) -1/2
a
What is the second smallest value in -3, -0.3, 196, 0?
-0.3
Which is the third smallest value? (a) -1/9 (b) 3/2 (c) -0.4 (d) 3/7
d
Which is the third smallest value? (a) 5 (b) -0.3 (c) 1/6 (d) 9
a
Which is the second smallest value? (a) 2 (b) -0.1 (c) -5 (d) -1
d
What is the second biggest value in 1, 2/29, -0.3, -3?
2/29
Which is the biggest value? (a) 12 (b) -4/9 (c) -1019
a
Which is the fourth smallest value? (a) -4/7 (b) 1/3 (c) -3 (d) -14/9 (e) 0
e
What is the third smallest value in 0.07, -2/7, -1/3, 2/7, -4?
-2/7
What is the second smallest value in 1/2, -0.3, -135?
-0.3
What is the third smallest value in -0.4, -2/3, -1/5, -38, -37?
-2/3
What is the smallest value in -24, 0.2, -6/7, 5?
-24
What is the biggest value in -0.4, -14/3, 2?
2
Which is the third biggest value? (a) -0.2 (b) 0 (c) 3 (d) 1/3
b
What is the second smallest value in 2/119, -1, 1/13, -0.01?
-0.01
What is the fourth biggest value in 1/145, 1, -0.5, 2/11, -3?
-0.5
What is the third smallest value in -1, 1, -10?
1
Which is the third biggest value? (a) 4 (b) -2/7 (c) 0.9
b
What is the third biggest value in -42, 6, -1?
-42
What is the third biggest value in -31, 4/5, -4/7?
-31
Which is the second smallest value? (a) 1 (b) 311/3 (c) 5
c
What is the second biggest value in -2/7, 5, -0.096, -0.3?
-0.096
Which is the smallest value? (a) 5 (b) 1/3 (c) 281
b
Which is the fourth biggest value? (a) 0 (b) 0.2 (c) 0.3 (d) -106
d
Which is the fourth biggest value? (a) 1/22 (b) -4 (c) 2 (d) -0.25
b
Which is the second smallest value? (a) -2 (b) 6 (c) -2/3 (d) 1/10
c
What is the fourth biggest value in 15, 2/9, -46, 5?
-46
What is the biggest value in -4/7, 4, -1, -5?
4
What is the third biggest value in -2/3, -2, 6, 0.9?
-2/3
Which is the smallest value? (a) 73 (b) -2/9 (c) 3 (d) 1
b
Which is the fourth biggest value? (a) -0.4 (b) 315 (c) 5 (d) -0.6
d
Which is the second smallest value? (a) -0.078 (b) -6 (c) -1 (d) 4
c
What is the third biggest value in 3/5, -27, 0.5?
-27
Which is the third smallest value? (a) -4/7 (b) 5 (c) -3/4 (d) -1/3
d
Which is the third smallest value? (a) -0.3 (b) 60/13 (c) -1 (d) -3
a
Which is the smallest value? (a) 0.1 (b) 5 (c) 108
a
Which is the second biggest value? (a) 5 (b) 0.42 (c) -2/3 (d) -1 (e) 1
e
What is the third smallest value in 384/17, 1, 2/5?
384/17
What is the fourth smallest value in -3, 5, 6, 1/7?
6
Which is the fourth smallest value? (a) -4 (b) -6 (c) 0 (d) 0.3 (e) -2
c
Which is the third biggest value? (a) 0.5 (b) 3.9 (c) 4 (d) 5
b
What is the smallest value in 4/7, 2, -6/7, -6?
-6
Which is the second smallest value? (a) -0.2 (b) 5 (c) 9
b
What is the third biggest value in 0.3, 12, 2/3?
0.3
What is the third smallest value in -16, -2/5, -3, -3/8, -50?
-3
What is the biggest value in -0.1, 478, 3?
478
What is the second biggest value in 13, 4, 2?
4
What is the fifth smallest value in 0.2, 3/7, -3, 524, -4?
524
What is the smallest value in 2/5, 0.07, 1/7, 1?
0.07
What is the second smallest value in 0.04, 3/2, -5, 0.2?
0.04
Which is the smallest value? (a) 4 (b) 1/2 (c) -0.06 (d) -11
d
Which is the third biggest value? (a) 3/2 (b) 2 (c) -8 (d) -0.3
d
Which is the third biggest value? (a) 0.4 (b) 0.5 (c) -0.31 (d) 3 (e) -1
a
Which is the second biggest value? (a) -4 (b) 1/6 (c) -3 (d) -1/11
d
What is the second biggest value in 251, -4, 0.1, 0, -0.3?
0.1
What is the second smallest value in 2, -7/30, -5?
-7/30
What is the smallest value in -1, -2/9, 1?
-1
Which is the fourth biggest value? (a) 2/11 (b) 345 (c) -3 (d) 2
c
What is the fourth smallest value in 0.11, -4, -2/11, 1, 10?
1
What is the fourth biggest value in 5.2, 1/5, -6, -10/3?
-6
What is the fourth smallest value in -3, 0, 1/2, 6?
6
What is the third smallest value in 2/5, 6, -0.04, -1?
2/5
Which is the second biggest value? (a) 0.5 (b) 0.1 (c) 5/514
b
Which is the smallest value? (a) 4.1 (b) -0.5 (c) 0.144
b
Which is the smallest value? (a) -0.53 (b) -0.5 (c) 0.03 (d) -4/5
d
Which is the third biggest value? (a) 5 (b) -1 (c) 2/45 (d) -3/2
b
Which is the smallest value? (a) -0.4 (b) -0.1 (c) 0.5 (d) 6/11 (e) 0.05
a
What is the third biggest value in -2, 1/7, 6/11?
-2
Which is the biggest value? (a) -2.21 (b) 0 (c) -2/13
b
What is the smallest value in -3, -2, -1/2, 1?
-3
What is the fourth biggest value in 3, -3, 0.19, 4?
-3
What is the second smallest value in -288, -1/5, 0.1?
-1/5
Which is the third biggest value? (a) 0.216 (b) -2 (c) -2/11
b
Which is the fifth biggest value? (a) 2/15 (b) -0.1 (c) 4 (d) -5 (e) 27
d
What is the third smallest value in -19, 3, 8/9?
3
What is the second smallest value in 0.4, 2/9, -0.03, 5, 16.7?
2/9
Which is the second smallest value? (a) 1 (b) -2 (c) 3/2 (d) -117
b
What is the biggest value in 1/14, -0.13, -3?
1/14
What is the smallest value in 2/15, 2/3, 0.1, 0.3, 3?
0.1
What is the biggest value in 0.3, 1/3, 4.5, -0.4?
4.5
What is the third smallest value in 3, -1/4, 0, 9/2?
3
What is the third biggest value in -0.3, -0.2, -5, -3?
-3
What is the second smallest value in 1, 2, -0.2?
1
Which is the second smallest value? (a) 12 (b) -2/19 (c) 1 (d) 11 (e) 0.5
e
Which is the second smallest value? (a) 3/10 (b) -6/5 (c) 0.01
c
What is the biggest value in 70, -28, 5?
70
What is the second smallest value in -4, -1, -533?
-4
Which is the fifth smallest value? (a) -2 (b) 0 (c) -3 (d) -2/11 (e) 19
e
What is the third smallest value in 0, 5, -50, -2?
0
Which is the third smallest value? (a) -0.2 (b) 142 (c) -2/11 (d) -2
c
What is the second biggest value in -3, -2/3, 1/52, -2?
-2/3
Which is the fourth smallest value? (a) 0.2 (b) -2/11 (c) 6/5 (d) 42
d
What is the third smallest value in -2/5, 2/17, -0.5, -1/4?
-1/4
Which is the fifth smallest value? (a) 262 (b) 2/3 (c) 1 (d) 4 (e) 5
a
What is the biggest value in 1, -1/5, -0.022, 0?
1
What is the fourth smallest value in -0.3, -5, 4, 3?
4
What is the second smallest value in -2.6, 2/3, 0.4, 1, 99?
0.4
Which is the third smallest value? (a) 8/11 (b) -7 (c) 0.3
a
What is the third smallest value in 1/4, 3, -20234?
3
What is the second biggest value in -0.3, -2/113, -1, -3, -3/4?
-0.3
What is the third smallest value in 3/2, 0.5, -0.08, -4/7, 1?
0.5
What is the fourth biggest value in -5, 1, 0.16, 4?
-5
Which is the small | {
"pile_set_name": "DM Mathematics"
} |
/(o**(-5)*o)*o**(1/6)) assuming o is positive.
o**(-51/2)
Simplify c**(-1/10)/c*(c*c**(-2)/c*c)/c*c/(c**(-2/5)*c*c)*c**(2/13)/c assuming c is positive.
c**(-591/130)
Simplify ((((((x*x**(-4/9))/x)/x)/x)/(x**(-11)/x))**(-20))**(-4/19) assuming x is positive.
x**(6880/171)
Simplify ((i*i**(-1/8))/i*(((i*i/(i/i**(-1/4)*i))/i)/i)/i)/(i/((i/((i**(-10)/i)/i))/i)*i*i**(-5/3)) assuming i is positive.
i**(199/24)
Simplify (i*i**(-3/13)*i)**(3/35)*i**(-18)/(i/i**(-3/10)) assuming i is positive.
i**(-3485/182)
Simplify (f**12*f)/f**(-11)*(f**(-1)/f)**24 assuming f is positive.
f**(-24)
Simplify (a**26)**(22/7)*a*(a*(a/a**22)/a*a)/a*a*a**19 assuming a is positive.
a**(572/7)
Simplify ((c*(c**(-11)/c)/c*c)/c**(-2))/(c/(c/(c/((c*c*(c**(2/13)*c*c*c)/c)/c))*c*c))**(12/19) assuming c is positive.
c**(-1575/247)
Simplify ((k/(k/(k**(-7)*k))*k/(k*k**(1/3)))**(-1/2))**(-24) assuming k is positive.
k**(-76)
Simplify ((s/s**(1/7))/(s/(s*s/((s*s**(-2/3))/s)))*(s**1*s)/s*s*s**(1/4))**20 assuming s is positive.
s**(2005/21)
Simplify (((m*m**10)/m**(1/22))**(9/4))**(-43/4) assuming m is positive.
m**(-93267/352)
Simplify (h*h*h/(((h/(h*h**(-2/7)/h*h))/h)/h))**(4/3)*h**10*h/(h/(h/(h*h/(((h*h/((h**1*h)/h))/h)/h)*h))) assuming h is positive.
h**(93/7)
Simplify (((m*m*(m*m*m/m**(-1/2))/m*m*m)/(m**(2/21)/m))/(m*(m**(2/5)*m)/m)**37)**(2/17) assuming m is positive.
m**(-9323/1785)
Simplify ((x**1)**46*(x*x/(x*x**(-1)))**28)**(-11) assuming x is positive.
x**(-1122)
Simplify ((g**(10/13)/g*g)/((g*g**(-2/11)*g)/g))/((g*g*g**(-22))/g*g*g*(g/(g**23/g))/g) assuming g is positive.
g**(5856/143)
Simplify (b/b**1*b**(2/17))/(b/((b/((b/b**(-2/7)*b)/b))/b)*b/(b*b*b**(2/29)/b*b)) assuming b is positive.
b**(-3793/3451)
Simplify (a**(2/7)/a)/(a/a**11)*((a/a**4)/a)/(a/a**0) assuming a is positive.
a**(30/7)
Simplify ((((a/(a/a**5))/a)/a)/a*a**(11/6))/(a*a**(4/11)*a*a)**32 assuming a is positive.
a**(-6851/66)
Simplify (m/m**(-11)*m/m**(-6))**(-20) assuming m is positive.
m**(-380)
Simplify ((f*f/(f/(f**(-3/11)*f)*f*f))/f)**12*(f**(3/5))**(-50) assuming f is positive.
f**(-498/11)
Simplify (q**1*q**1)**5 assuming q is positive.
q**10
Simplify ((r**4*r)/r**(-4))/((r*r*r**(-6/5))/r)**(-1/7) assuming r is positive.
r**(314/35)
Simplify (f/f**(1/6)*f/((f*f*f*f**(-1/4)*f*f)/f)*f**(10/9)*f*f**1*f*f)**48 assuming f is positive.
f**(460/3)
Simplify (p**(2/23)/p**(-5/2))/(p**(-5/4)*p**(-3/2)) assuming p is positive.
p**(491/92)
Simplify (y*y**(1/6)*y)/y*y*y**(1/5)*(y**0)**(-9) assuming y is positive.
y**(71/30)
Simplify z/(z**14*z)*z**(-17)*(z*z**(-20/3)*z*z)/((z/z**(2/45)*z)/z) assuming z is positive.
z**(-1603/45)
Simplify (j/(j/(j/(j/j**(-5/2))))*j**1/j)/(j**(-6/11)*j*j*j**22) assuming j is positive.
j**(-571/22)
Simplify (m/((m*m**(13/3))/m)*m**(-2)*m)/(m**(2/15)*m**(-8/5)) assuming m is positive.
m**(-43/15)
Simplify ((p**(-1))**(2/19)*p/(p/(p/(p/p**2)))*p**(-1/16))**(17/3) assuming p is positive.
p**(9469/912)
Simplify (((t**0*t*t)/(t/(t/t**4)*t*t*t))/(t**0)**(-17))**(-17) assuming t is positive.
t**85
Simplify ((v*v*v**(6/17)*v)/v**18)/((v*(v/(v/v**(-2/5)))/v*v)/((v*v**(-1/22))/v)) assuming v is positive.
v**(-28597/1870)
Simplify (p**1/p**(-16))/(p**(-2)*p/((p*p*(p*(p**(-12/7)/p)/p)/p)/p)*p) assuming p is positive.
p**(100/7)
Simplify ((i*i**(-7))/(i/i**(-9))*(i/(i*i*i**0))/(i*i*i**2*i))**(1/10) assuming i is positive.
i**(-11/5)
Simplify (d**10)**(-25)/((((d*d*d/(d**(1/13)*d))/d)/d)/(d/(d*d**(7/4)*d*d))) assuming d is positive.
d**(-13191/52)
Simplify ((r/r**(-8))/(r*r**(-7))*((r/(r*(r*r/(r/(r*r**1)))/r))/r)**(4/19))**(18/5) assuming r is positive.
r**(4914/95)
Simplify (t**(-11)*t**(-1/3))**(1/32) assuming t is positive.
t**(-17/48)
Simplify (a*a**29*a/(a/(a*a**(1/19))))/((a/(a*a*(((a*a**(1/4))/a*a)/a)/a))/(a**41/a)) assuming a is positive.
a**(5419/76)
Simplify (((d/((((d*d**13)/d)/d*d)/d*d))/d*d)**(-2/43))**(-3/2) assuming d is positive.
d**(-36/43)
Simplify (z*z/((z**(-1/4)*z*z)/z)*z*(z*z**(2/7)*z*z)/z*(z*z**(2/3))**34)**47 assuming z is positive.
z**(241627/84)
Simplify (p**(-2/9)/p**(-10/3))**(-42) assuming p is positive.
p**(-392/3)
Simplify (d**(-1/12))**(-9)/(d**(-9/4)/(d/d**(-16))) assuming d is positive.
d**20
Simplify ((s*s/s**9)**40)**(-4) assuming s is positive.
s**1120
Simplify (j**(1/3)/j)**(4/5)/(j/(j**0*j*j))**7 assuming j is positive.
j**(97/15)
Simplify (z**(-1/6)/z**0*z**(-2/13)*z**0)**(-28) assuming z is positive.
z**(350/39)
Simplify (((n*n**(-1/3)*n)/n)/(n*n**(3/5)))**40 assuming n is positive.
n**(-112/3)
Simplify (x*x**1*x*x)**(-25)*(x/(x*x/(x*x**(1/3))))**20 assuming x is positive.
x**(-280/3)
Simplify l**9*l*(l/(l**(-11)/l))/l*(l/((l*l**12/l)/l))**8 assuming l is positive.
l**(-58)
Simplify (a*a**(1/2)*a*a*(a*a**20)/a)**17 assuming a is positive.
a**(799/2)
Simplify (((n/n**(2/7))/(n/n**3))/((n*n**(-2/17)*n)/n**(2/5)))**(-3/8) assuming n is positive.
n**(-2199/4760)
Simplify (r*r**(2/7))**(5/12)/((r/r**(-3/2))/((r/r**(1/3))/r)) assuming r is positive.
r**(-193/84)
Simplify (((b*b**9/b)/(b**(-7)/b))**(-11/7))**(28/3) assuming b is positive.
b**(-748/3)
Simplify r/r**(4/13)*r/(r*r**(-2/3)/r)*(r**(-6/11))**(-8/11) assuming r is positive.
r**(13004/4719)
Simplify (f**(-7/2))**(-34)*f**(-1/2)*f*f**(-19) assuming f is positive.
f**(201/2)
Simplify (b**31*b*b*(b**(4/11)*b)/b)/(b**(-14)/b*(b/b**(-10))/b) assuming b is positive.
b**(422/11)
Simplify (q**(-22)/(q**(-8/13)*q))/(q*q**32*(q/(q/(((q/(q/q**30)*q)/q)/q))*q)/q*q) assuming q is positive.
q**(-1110/13)
Simplify (l*l**(-2/9)/l)/l**(5/6)*l/l**(-3)*l/l**6 assuming l is positive.
l**(-37/18)
Simplify ((b**(3/8)*b**(-1/4)/b*b*b)/(b/b**2*b*b*b/(b**(-2)*b)))**8 assuming b is positive.
b**(-15)
Simplify (a**(-3)*a)**(21/4)*(a/(a**(-1/3)*a))**(-1/7) assuming a is positive.
a**(-443/42)
Simplify (((j**(-1)*j)/j*j)**(-13)*(j/(j*j**(2/5)/j)*j)**(-40))**(-1/36) assuming j is positive.
j**(16/9)
Simplify (x/x**(-5/9)*x)**(-13)/(x*x*x/(x/(x/(x**(2/65)*x)))*x/(x/(x/(x*x**15))*x)) assuming x is positive.
x**(-11227/585)
Simplify (u*u/u**(-2/3)*u)/u*u**(-8)*(u/u**(1/16)*u)/(u*u*u/((u/u**13*u)/u)) assuming u is positive.
u**(-883/48)
Simplify (k**(3/8)*k)**16/(k*k/(k/(k**(-4)/k))*k)**(8/3) assuming k is positive.
k**30
Simplify ((t*t**(-2/3))/t)**(-5/19)*(t*t**(4/5))/(t/(t*t**8)) assuming t is positive.
t**(2843/285)
Simplify (z**(1/2)*z*z)**(-3/4)*(z/((z/((z**4/z)/z))/z))/z**(-3/4) assuming z is positive.
z**(15/8)
Simplify (((((z*z/z**0)/z)/z)/z)**(-33)/((z/z**(-2/3))/z*z/z**(-5)))**(-25) assuming z is positive.
z**(-1975/3)
Simplify (a**(-4/13)/a)**36*(a*(((((a**(-19)*a)/a)/a*a)/a)/a)/a)/a*a**(16/7) assuming a is positive.
a**(-6078/91)
Simplify ((o/o**3)**(22/9)*((o*o/((o**(-1/9)/o)/o*o)*o)/o)/(o**7/o*o))**(34/3) assuming o is positive.
o**(-2686/27)
Simplify (w**(2/23)/w**(2/15)*(w*w**(-1/3)*w)/(w/(w**3/w)))**(2/9) assuming w is positive.
w**(1808/3105)
Simplify ((m*((m**3/m)/m)/m*m/(m*(m/m**4)/m))/((m**(-1/4)*m)/m**(-3)))**(5/13) assuming m is positive.
m**(25/52)
Simplify (g*g**(2/11)*g)/g**(4/9)*g**(-16)*g**9 assuming g is positive.
g**(-521/99)
Simplify (y/y**3*y**(-10))**35 assuming y is positive.
y**(-420)
Simplify (((u**(-1/6)/u)/u)/(u/(u*u*u**(-26)*u*u)))**(-1/19) assuming u is positive.
u**(151/114)
Simplify ((v**(-4/11)/v)/v**(-2/29))**(1/14) assuming v is positive.
v**(-59/638)
Simplify (a**(3/7)*a**(-17)*a)/(a**(-29)*a**(-19)) assuming a is positive.
a**(227/7)
Simplify t/t**(-7)*(t*t/t**(5/3)*t)/t*t*(t/((t*t*(t/(t**2/t))/t*t*t)/t*t*t))**(-27) assuming t is positive.
t**(271/3)
Simplify ((o*o**(-3)*o**(-7))**(-8))**5 assuming o is positive.
o**360
Simplify n**(1/2)/(n*n*n*n/(n**(4/3)/n*n)*n*n)*((n/(n/(n/n**(3/8))))/n)**(8/5) assuming n is positive.
n**(-143/30)
Simplify p**12*(p/p**(3/13))/p*(p*p*p*p/((p*p*p**30*p)/p)*p)**(-3/26) assuming p is positive.
p**(387/26)
Simplify ((j/j**(-21))/(j**(-2/3)/j))/(j**(1/3))**42 assuming j is positive.
j**(29/3)
Simplify (y**12)**(23/4)/((y*(y/(y*y*y*y**(-1/3)*y*y*y))/y)/y**(-8/3)) assuming y is positive.
y**71
Simplify ((f*(f/(f*f/(f/f**12))*f)/f)/f)/(f**(-3)/f)*((f*f/(f*f**(-16)))/f)/f*f/(f/(f/f**(-4/7))) assuming f is positive.
f**(60/7)
Simplify a**(-5/4)/(a/a**(-1/3))*a**(-8/7)*a*(a/(a**4*a*a)*a)/a assuming a is positive.
a**(-649/84)
Simplify t**6/t**(9/7)*(t/t**(-2) | {
"pile_set_name": "DM Mathematics"
} |
*a + 1 = -3*o, -3*a + f = 2*o - 3*o for a.
4
Suppose 3*p - w = 61, 3*p + 3*w + 39 = 96. Suppose 0 = 8*z - 12 - p. Let v be (-10)/(60/9)*z/(-3). Solve 5*d = v*g + 2*d + 3, 2*g - 2*d = 0 for g.
3
Let j = 474 + -465. Let o be 5/(((-18)/j)/(-14)). Solve -2*u = 5*i + 16 + 10, -5*u = 5*i + o for i.
-4
Let f be (-1199)/(-6) - (22/12 + -2). Let u = f - 197. Suppose -r + 15 = -3*l, -2*l = -4*r + 114 - 24. Solve -r = -4*w - 2*t - 0*t, 9 = u*w - 3*t for w.
5
Let c be (-11 - (-3969)/357)*17. Solve -4*g + 3*f + 4 = 0, -c*f = -g - g + 2 for g.
1
Let i(d) = 699*d + 6 - d**3 + 3 - 14*d**2 - 712*d. Let l be i(-13). Suppose -l = z + 3*t, 5*t - 3 = 2*z - 29. Solve q + 16 = -3*c, -c - 4*q - 6 = z for c.
-5
Let g(q) = -24*q**2 - 502*q + 46. Let i be g(-21). Solve 0 = c + 2*o - 0 + 10, i*c + 5 = -o for c.
0
Let y be 1/(1 - (-2)/(-4)). Suppose 0 = x - 21 + 31. Let s(k) = k**3 + 10*k**2 + 2*k + 24. Let f be s(x). Solve 0 = y*w - 5*w + f*h - 3, -4*h = w + 17 for w.
-5
Let a be 440/(-50)*(-2 + (-1)/2). Let m = 125 + -81. Let x = m + -44. Solve -2*y - 10 = -0*y, 4*k + 2*y + a = x for k.
-3
Suppose 0 = -4*b + 3*c + 50, 0 = 5*c - 16 + 26. Solve -2*g = -5*u - 30, -b*u + 9*u = 4*g - 12 for u.
-4
Let q(a) = -a**3 + 89*a**2 + 367*a - 12. Let f be q(-4). Solve 172*c + 5*h = 170*c + 19, -h + f = -c for c.
-3
Suppose 0 = 6*y - 100 - 8. Suppose 5*b = x + 29, y - 3 = -b - 5*x. Solve 32 = -5*q - 4*w, b*q = -w - 0*w - 23 for q.
-4
Suppose -24*r - 496 = -32*r. Let h = -55 + r. Solve z = 5*o + 17, -2*o + z = -5*o - h for o.
-3
Let o(f) = -3*f + 29. Let h be o(11). Let q be -2 + 36 - (h - (-2 - -1)). Suppose 13 - q = -4*j. Solve -v = 3*s - j, -2*v = 2*s - 6 + 2 for s.
2
Suppose 135 = 3*a + q, -5*a - 2*q = -166 - 60. Let n(s) = -76*s + 36*s - a + 35*s. Let d be n(-10). Solve 4 = 5*y + o, -y = -4*o - d + 1 for y.
1
Let l(d) = -4*d + 17. Let j be l(-6). Suppose 43*x = j*x. Solve x = 4*p + y - 3*y + 12, -2*y = 5*p - 3 for p.
-1
Let c = 100 - 92. Let k be 2268/48 - (-6)/c. Suppose -k = -8*b + 2*b. Solve -3*y - 4*i - 11 = -0*i, 0 = 2*y + 2*i + b for y.
-5
Let t(r) = 4*r**2 - 23*r + 33. Let i be t(4). Let p be ((-1)/(3/(-6)))/((-6)/(-12)). Solve -3*l + p = -7*l + 4*q, -5*q - i = 5*l for l.
-1
Let h be (1450/75 - 19) + 34/6. Solve -5*p = -n + 11, -p - 4*n = -h*n - 5 for p.
-3
Suppose 2*l = 25*x - 20*x + 22, -14 = -l + 4*x. Solve l*g + 15 = 11*g - 5*b, -4 = -4*g + 2*b for g.
-1
Let j be 1*(-1)/3*0. Suppose -58 = -2*r - j*r. Suppose -t + r = 23. Solve 2*w + t = -2*h, -2*w - 5 - 8 = -5*h for w.
-4
Let r(q) = q**3 + 21*q**2 - 23*q - 22. Let u be (132/30)/(2*(-4)/40). Let a be r(u). Solve -5*z - 3*v = 16, a*z = 5*z - v + 28 for z.
-5
Let i be (1 + 11)*(8041/(-748) + 1 + 10). Solve i = 5*c + 2*t, 0 = -92*c + 89*c - t + 1 for c.
-1
Let z(x) = -x + 118. Let h be z(116). Solve -5*l - 4 = -2*o, 2 = -h*o + 5*l - 3*l for o.
-3
Suppose 132*h - 1205 = -109*h. Solve -d - a + h = 0, 22*a - 27*a + 24 = 4*d for d.
1
Suppose 2*t = -4*b - 26 + 6, 3*t = 4*b - 70. Let h be 37/3 + 6/t. Suppose 25 = -h*r + 85. Solve -4*d = -2*s - 4 - 0, 0 = r*d for s.
-2
Suppose 35*a - 70*a = 124*a. Solve 2*k - 3*d - 16 = a, -8*k - 5*d = -11*k + 25 for k.
5
Suppose 0 = 10*u + 5*u + 8551 - 8581. Solve -8 = u*t - 6*t, -5*g + 5*t = 5 for g.
1
Let j = -188 - -53. Let k = j - -155. Solve 5*r + k = -3*q, -q - 4*r = -r + 12 for q.
0
Let m(h) = 4*h**2 + 8*h - 10. Let c be m(-3). Suppose c*f - 5 = -2*g + 7, 3*f + g - 16 = 0. Solve -t = -3*k + 13, k - 4 = f*t + 5 for t.
-1
Let b = 223 + -217. Let w = -8 + 11. Suppose -5*d = 5*y - w - 2, -2*y + 5 = 3*d. Solve h + 2*l = -d, -4*h - 4*l - b = -2*l for h.
-1
Suppose -5*o + 3*n + 0 = 17, 4*n = -3*o + 13. Let a be -7 + 4 + (o - 0)*-7. Solve 12 = -a*r - 2*x, -3*r - 2*x - 12 = -5 for r.
-5
Let q(z) be the second derivative of -z**4/12 - 7*z**3/6 - 5*z**2 + 72*z + 2. Let n = -1 - 2. Let m be q(n). Solve -m*l + 2*c = 3*c, -4*l = -3*c + 20 for l.
-2
Let q be ((-15)/(-18))/((-865)/(-4152)). Solve -2*b + q = -4*p, -26*b + 29*b = 4*p for p.
-3
Let b = -333 + 310. Let q be ((-21)/27 + 1)*(32 + b). Solve 2*w + 5*t = -2, q*w - 7*t + 2*t - 18 = 0 for w.
4
Let g(w) = w**3 - 8*w**2 + 25*w + 24. Let p(v) = -v**2 - v - 2. Let y(r) = g(r) + 3*p(r). Let n be y(8). Solve -5*c = -f - f - 5, 2*c = -2*f + n for c.
1
Suppose 4*f - 3*x - 1847 = 0, -f - 2*x - 164 = -612. Let a = f + -454. Solve a = -3*c - 2*q - 10, -4*q = 4*c + 20 for c.
-4
Let m be 0*(1*5 - 624/120). Solve -4*j - 12 = m, 2*j - 10 = l - 21 for l.
5
Let d(p) = 5*p**2 + 9*p - 14. Let v be (15/(-3) + (-2 - -8))*-4. Let z be d(v). Solve 2*k + 0*o + 5*o = z, -7 = k - 3*o for k.
5
Let l be (-584)/(-2) - 1 - (-4 - -1). Let w = -290 + l. Solve 0 = -k + 5*m + 5, -4*m - w + 0 = 0 for k.
0
Suppose -2*k - 62 = -70. Let b(d) = d**3 - 3*d**2 - 2*d + 1. Let g be b(4). Suppose 109 = k*v + g. Solve -2*m - n = -4*m + 5, 4*m + 3*n = v for m.
4
Let v = 189 + -186. Suppose 21 = 4*a + v*t, -7*a = -2*a - 5*t. Solve -p = -a*q - 6 - 5, 25 = -5*q - 5*p for q.
-4
Suppose -8*h - 242 = -1738. Let n = h - 185. Solve -2*r - 46 = 4*d - 16, -3*r = -n*d + 5 for d.
-5
Suppose 5*z - 3*i + 15 = -5, 0 = -2*z - 2*i - 24. Let j be (z - -12)/(-4 + 2 + 3). Solve -4 = h - c, -3*h + j*c = -h + 11 for h.
-3
Let k(r) = r**2 - 8*r + 4. Let n be k(0). Suppose -n*s = -2*m - 10, 4*m + 4*s - 9*s = -5. Solve m = u - w + 12, -5*w = u - 11 for u.
-4
Suppose 3*u = -150 - 552. Let b = u - -258. Solve 6 = 3*v, 4*g = 8*v - 4*v - b for g.
-4
Suppose 74*a - u = 70*a + 39, -52 = -3*a + 4*u. Solve -a*p = -2*g - 3*p - 19, -5*g - 3*p - 1 = 0 for g.
-2
Suppose 7642*c - 7662*c = -80. Solve 3*w = -3*x - w - 11, -c*x - 5*w - 14 = 0 for x.
-1
Let i(s) = -s**3 - 10*s**2 - 19*s + 5. Let f be i(-7). Let j(u) = u**3 + 11*u**2 + 19*u + 15. Let a be j(f). Solve 3*p + a = -l, p = 3*p - 4*l + 18 for p.
-3
Suppose -5*l = -21 + 6, -2*n = 2*l - 84. Suppose -44*b = -n*b. Solve 4*u - 4*r + 36 = b, -3*u + 0*r - r - 11 = 0 for u.
-5
Let m(s) = s**3 - 22*s**2 - 44*s + 984. Let p be m(22). Solve 3*y - p = 4*z - 3*z, 3*y - 2*z = 14 for y.
6
Let l(d) = -27*d - 22*d + 8*d + 30 + 55. Let m be l(2). Solve 4*n + 7 + m = 2*p, -p = 2*n + 11 for n.
-4
Let w = -10163 - -10175. Solve 22*j = 18*j - w, -2*j = 5*f + 16 for f.
-2
Let o be 1*(4/8 - (-7 - (-44)/8)). Suppose 5*z - z = 64. Solve -3*y + o*i = -5*y + z, -y = -2*i + 7 for y.
3
Suppose 33*h - 1134 = -9*h. Solve 3*a = -4*p - 17, -h + 10 = p + 5*a for p.
-2
Suppose 17*g - 152 = -21*g. Let h be (3/g - (-138)/(-184)) + 5. Solve 3*r = h*j + 21, 0*j = -5*j + 2*r - 19 for j.
-3
Let g(f) = -f**3 - 11*f**2 - 16*f + 20. Let b be g(-9). Suppose l + b = -o - l, -15 = -5*o - 5*l. Solve 4*w - 1 + o = m, -5*m + 16 = -w for m.
3
Let g(t) = 3*t**2 + t + 6. Suppose -7*f - 1 - 20 = 0. Let r be g(f). Suppose 0 = 4*m - 30 - r. Solve 3*h = -s + 12, 2*s + 5*h - m = 5 for s.
0
Let q(p) = p**3 - p**2 - 12*p - 7. Let g be q(7). Let f = 205 - g. Solve 5*h = -2*i - 8, -h = f*h for i.
-4
Suppose -55 = -b - 4*b. Let z(d) = -2*d**2 - d**3 + 17*d - 16*d - 2 - 2 + 9*d**2. Let p be z(7). Solve -g + 2*k = b, -5*g + 10 = -p*k + 37 for g.
-3
Suppose -4*p = -5*a - 7*p + 171, 128 = 4*a - 2*p. Suppose -a*b = -30*b - 9. Suppose b*z - 5 - 10 = 0. Solve -16 = -r + 4*w, -w = z*r - 4*w - 12 for r.
0
Let q be 10*11/((-220)/(-16)). Suppose -9*p = -13*p + q. Solve -5*x = -2*c - 28, p*c + 20 = -x + 4*x for c.
-4
Let c = 36 + 12. Suppose -z - c = -0*z + w, 5*z + w = -224. Let v = 47 + z. Solve b - 5*q + 10 = 0, -4*b - 9 = -v*b - 4*q for b.
-5
Let f = 6075 - 6072. Solve -58*s = -56*s + f*j + 13, 0 = 2*s + 2*j + 10 for s.
-2
Let q be (106/4)/((-1)/2). Let n = q + 53. Suppose a = -n*x - x - 3, 4*x + 12 = 3*a. Solve a = -2*m + 5*u - 13, -5*m - u - 19 = -0*u for m.
-4
Suppose -x = 3*g - 48, 0 = 3*x - 0*x. Suppose -14*t + 12*t = -g. Solve 0 = y + 4, 0*c - c = 2*y + t for c.
0
Let x = -38800 + 38800. Solve x = -39*v + 35*v - 2*y + 28, 4*y = 3*v + 1 for v.
5
Suppose 4*g - 278 = -2*i + 232, -g = 4. Let w = -254 + i. Solve -5*m = -2*y - 16, 0 = -3*m + y + w for m.
2
Let t be 11/4 - (102/(-24) - -4). Suppose -10*j + 14 = -t*j. Let z(b) = -3*b + 23. Let f be z(7). Solve j*v = -2*w + 8 + 2, -3*w = -f*v - 10 for v.
1
Let d(f) = f**3 - 6*f**2 + 6*f - 3. Let z be d(5). Suppose -3*k + 34 = -z*v + k, -63 = 3*v - 2*k. Let o = 54 + v. Solve o = -5*y + 2*t, 2*y + | {
"pile_set_name": "DM Mathematics"
} |
+ 7*r + 8 - 5*r**f + 0*r**3 - 12. Let z be (-2)/((0 - 2)/4). What is g(z)?
8
Let l(g) be the first derivative of -g**4/4 - 5*g**3/3 - g**2/2 + 4. What is l(-2)?
-10
Let s(u) = 3*u + u + 6 + 0*u - u**2. Let l be s(5). Let p(x) = -x - 2*x - l + 2*x. Give p(-1).
0
Let j = -25 - -28. Let y(w) = w - 2. Calculate y(j).
1
Let r(j) = -37 + 37 + 3*j. Determine r(-1).
-3
Let j(q) = -3 - 3*q + 2*q - 2 + 5*q. Give j(4).
11
Let a be (-13)/3 + (-3)/(-9). Let m(w) = w**3 - w**2 - 2*w + 2. Let t be m(2). Let b(u) = -5*u**2 - 3*u**3 + 4*u**3 - 7*u - 5 - t*u**3. Determine b(a).
7
Let r(d) = -d**2 - d - 3. Suppose -3*z + 5*c = -1, -2*z + c = -4*z - 8. Determine r(z).
-9
Let l(r) be the first derivative of r**4 + 2*r**3/3 - r - 6. What is l(1)?
5
Let q(z) be the second derivative of -19*z**5/20 + z**4/12 - z**3/6 + z**2/2 + z. Suppose -4*f = -4*p + 8, -2*f = -0*f - p + 1. Determine q(f).
-18
Let d be 7 - 2 - (4 + -1). Let q(r) = -2 + d - 1 + r. Suppose -y = -3*y. What is q(y)?
-1
Let l(k) = k**3 + 9*k**2 - k - 13. Let u = 166 - 175. Calculate l(u).
-4
Let k = -17 - -18. Suppose 5*c + 42 = -4*o, 8 = -4*c + 5*o - k. Let a(v) = -2*v - 7. Determine a(c).
5
Let i = 11 + -18. Let y(f) = -f**2 + f - 1. Let x(b) = -b**3 - 4*b**2 + 4*b - 3. Let z be 0/(1 - -1) - -2. Let d(q) = i*y(q) + z*x(q). What is d(-1)?
1
Let g be 2/2 + 0 + -2. Let s(v) = 1. Let i(c) = 6*c - 7. Let x(o) = i(o) + 6*s(o). Calculate x(g).
-7
Let w(o) be the first derivative of -o**3/6 - 3*o**2/2 + o + 3. Let u(i) be the first derivative of w(i). What is u(4)?
-7
Let y = 2 - 7. Let r be (2/y)/((-1)/5). Let l(v) = 0*v + 0*v - v - 2. Give l(r).
-4
Let u(h) = 1 + 2 + 3 - 2*h. Suppose -18*f = -15*f - 12. Give u(f).
-2
Let m(h) = h**3 - 3*h**2 - 2*h - 5. Let p = -1 + 5. Let t be m(p). Let j(q) = -t - 2*q + 2 + 10*q. What is j(1)?
7
Suppose 3*w + w = 0. Let n(z) = w*z**2 - z**3 - z - 5 + 0*z**3 - 4*z**2. What is n(-4)?
-1
Let m(f) be the second derivative of -f**3/6 - 7*f. Give m(3).
-3
Let k(x) = 4*x - 3. Let w(h) = 2*h - 1. Let n(t) = k(t) - 4*w(t). Calculate n(5).
-19
Let m = 10 - 6. Let g(a) = -a**3 + 4*a**2 - 2*a - 5. Give g(m).
-13
Let b(g) = -g - 2. Let c be b(-5). Let w(r) = -r**3 - 9*r**2. Let s be w(-9). Let d(f) = 7 - 8 + f**2 + s*f**2 - 3*f. Determine d(c).
-1
Let a = -2 + 4. Let m(y) = 3*y**2 + 0*y**3 + 0*y**2 - a - y**3. Give m(2).
2
Suppose 3*f = 18 + 24. Let z be 6 + -6 - f/(-2). Let j = -5 + z. Let d(h) = -h**3 + 3*h**2 + h. Give d(j).
6
Let x(y) be the third derivative of -7*y**5/60 + y**4/12 - y**3/6 - 9*y**2. Calculate x(1).
-6
Let w(f) = f**2 + 4*f - 4. Let y(o) = -7*o - 10. Let l be y(-2). Determine w(l).
28
Let j(q) = -2*q**3 - 2*q - 1. Suppose 5 = -4*o + 1. Calculate j(o).
3
Let h(f) = -5*f + 13. Let d(u) = 11*u - 27. Let o(s) = 4*d(s) + 9*h(s). Calculate o(0).
9
Let k(d) = -d**2 - 5*d - 1. Let t = 37 + -43. Calculate k(t).
-7
Suppose 4*w + 0 = -3*d - 11, w + 1 = d. Let p(b) be the first derivative of -1/3*b**3 - 1/4*b**4 - 1/2*b**2 - 2*b + 6. Determine p(w).
4
Let f = 9 + -1. Let k(x) = -x**3 + 8*x**2 - 5. What is k(f)?
-5
Let y = 89/76 + -8/19. Let t(f) be the first derivative of 2*f + 1 - 1/2*f**2 + y*f**4 - f**3. Determine t(2).
12
Let h(l) = -l**3 + 2*l**2 - l**2 - 5*l + 5*l**2 + 0*l**3 - 3. Let j(m) = m + 2. Let o be j(3). Give h(o).
-3
Let t(l) = 0*l + 0*l + 5*l - 9 - 7*l. Give t(-11).
13
Let f(a) = a**3 + a**2 + a + 1. Suppose 2 + 2 = -j. Let l(d) = 2*d + 5. Let n be l(j). Let p = 2 + n. Give f(p).
0
Let v(f) = -f**2 - 2*f + 2. Let i(h) = -2*h**3 - h - 5*h + 5*h + 1 - 3 + 4*h**2. Let a be i(2). Calculate v(a).
-6
Let a(l) = l**2 - 4*l + 14. Let n(u) = u**2 - 5*u + 14. Let q(j) = -5*a(j) + 4*n(j). Calculate q(0).
-14
Let g(y) = -22*y**3 - 3 + 1 - 6*y**2 + y + 21*y**3. What is g(-6)?
-8
Let t(b) be the second derivative of b**5/20 - b**4/4 - 2*b**3/3 - 2*b**2 + 6*b. Calculate t(4).
-4
Let z(m) be the first derivative of m**3/3 - m**2 + 2*m - 12. Give z(5).
17
Let m(y) be the first derivative of -2*y**3/3 - 2*y**2 + 8*y - 3. Let r(p) = p**2 + 3*p - 9. Let n(v) = -2*m(v) - 3*r(v). Give n(0).
11
Let b be 144/30 - (-1)/5. Let x = 12 - 7. Suppose -27 = -x*q - 3*t, q + 0*t - 23 = -b*t. Let a(r) = -r - 1. Calculate a(q).
-4
Let j(u) = -u**2 + u - 5. Suppose 3*l + 0 - 3 = 3*p, 0 = -5*p - 3*l + 35. Suppose p*c - 3*o = 3, -7*o = -5*c - 2*o. Let f = 3 - c. Give j(f).
-5
Let u = -156 + 4. Let y be (-3)/4 - u/32. Let k(z) = 5*z**2 + 3*z + 11. Let g(d) = 14*d**2 + 9*d + 32. Let s(v) = -6*g(v) + 17*k(v). Give s(y).
-1
Let o be 4 + -1 + -5 + 4. Let s(a) be the first derivative of -5/2*a**o + 1/3*a**3 - a - 2. Calculate s(4).
-5
Let s(j) = -j**3 + j + 3. Suppose 0 = -4*u + 20*u. What is s(u)?
3
Suppose 2*n + 3*n = -5*g + 10, -3*n = -g - 18. Let k be 2/7 + (-388)/(-14). Suppose -n*a + k = 3. Let s(x) = x + 2. Determine s(a).
7
Suppose -2*n = -3*n. Let q(x) = 3 + 3*x - x**3 - 2*x - 4 + x**2. Let k be q(n). Let j(y) = -7*y + 1. Calculate j(k).
8
Let r(t) = t + 7. Let p be r(-6). Let i = p + -2. Let l(z) be the second derivative of z**5/5 + z**2/2 + 3*z. Determine l(i).
-3
Suppose p = -2*p + 18. Let q = 12 - p. Suppose q = -v - 2*c, -v + 10 = -c - c. Let g(r) = r**3 - 3*r**2 + 3*r. Give g(v).
2
Let d be (12/(-8) - 4/(-2))*-2. Let h(v) = 3*v**2 - 2*v - 1. What is h(d)?
4
Let h(o) = 5*o**3 + 5*o**2 - 2*o - 9. Let f(a) = 3*a**3 + 2*a**2 - a - 5. Let s(g) = 7*f(g) - 4*h(g). Give s(6).
7
Let o(b) = -5*b - 1. Let a(w) = w - 5. Let u be a(4). Give o(u).
4
Let k(f) = f**2 + 2*f - 1. Let l(g) = g. Suppose -2*a = 3 - 5. Let c(p) = a*k(p) - 3*l(p). Give c(3).
5
Let c(r) be the second derivative of -r**5/5 - r**4/6 - r**3/6 + r + 9. Give c(-1).
3
Let g(v) = -2*v**3 - 10*v**2 + 2*v + 3. Let i(p) = p**3 + 5*p**2 - p - 1. Let a(o) = 3*g(o) + 5*i(o). What is a(-5)?
-1
Let i(j) = j**2 - 4. Let s be -2 + 3 - -1 - (-1 + 7). Let x(f) = f**2 - 4*f - 6. Let n be x(5). Let b = s - n. What is i(b)?
5
Let r = 0 - 2. Let b be (3/r)/((-3)/4). Let s(d) = 0*d - 6*d + d**b + 3 + 3*d. Calculate s(3).
3
Let c = 3 - 5. Let m(g) be the second derivative of 3*g - 1/3*g**3 + 0 - g**2. Determine m(c).
2
Let k(p) = p**3 - 3*p + 1. Suppose 0 = 2*t - 5*n - 26, -4*t = -3*n - 0*n - 24. Suppose -t*a = -5*a. Suppose a = -2*d + d + 2. Determine k(d).
3
Suppose -r = -5*z - 0*r + 1, -3*r = -12. Let x(f) = 2*f + z - 4 + 0*f. Let t(a) = -a + 1. Let s(v) = t(v) + x(v). Give s(5).
3
Let w(o) be the second derivative of -o**4/12 - o**3/6 - 7*o**2/2 + 16*o. Give w(0).
-7
Suppose 3*a = -o + 4*o - 6, 2*a - 38 = -5*o. Let j(g) = g - 9. What is j(o)?
-3
Let x(n) = n**2 + n + 1 + 3*n - 2 - 2. Suppose g + 11 = 3*t, -4*t - g = g + 2. What is x(t)?
9
Let s(g) be the first derivative of -5/2*g**2 + 2 - g. Determine s(-1).
4
Let m(k) be the first derivative of -k - 1. Let v(f) = -11*f**2 - f + 5. Let c(u) = -5*m(u) - v(u). Determine c(-1).
10
Suppose 0*w - 4*w - 20 = 0. Let b(h) = h**2 - 1. Let m(z) = 2*z**2 + 7*z - 5. Let a(x) = x + 1. Let y(g) = -2*a(g) + m(g). Let c(p) = b(p) - y(p). Give c(w).
6
Let r(w) = -19*w**2 - 1 + 2*w + w + 20*w**2. Let u be (-2)/6*(-2 + -7). Suppose 4*t = 16, u*z + 17 = -t + 3*t. Give r(z).
-1
Let u = 287 + -291. Let l(m) be the second derivative of -m**6/720 - m**4/12 - m. Let q(a) be the third derivative of l(a). What is q(u)?
4
Let u(k) = -k**2 - 2*k + 1. Let o be 4/(-22) + (-200)/110. Let p be (1 + o - -3)*-2. What is u(p)?
-7
Let k(h) = 10*h**3 - h**2 + 2*h - 1. Let c = 25 + -24. Calculate k(c).
10
Suppose 3*y + 26 = 3*d - 2*d, -3*d + 36 = -3*y. Let w(m) = m**3 + 6*m**2 - 9*m - 4. Determine w(y).
10
Let x = 5 + -3. Let q(o) = 5*o**2 - o**x - o - 2*o**3 - 2*o**2 + o**3. Let h = 3 + -2. Determine q(h).
0
Let l(t) be the first derivative of -t**4/4 - 8*t**3/3 + 9*t**2/2 + 3*t - 2. Let y be l(-9). Let r(f) = -f**2 - 1 - 2*f + 5*f + 0. Determine r(y).
-1
Suppose -2*g = 20 - 8. Let l(i) = -i**2 - 5*i + 5. Give l(g).
-1
Let a(i) be the third derivative of 1/30*i**5 - 2*i**2 - 1/6*i**4 + 0 - 1/6*i**3 + 0*i. Let t(p) = -p + 10. Let n be t(7). Determine a(n).
5
Let u(v) = -v**2 - 12*v - 6. Let l(g) = g**2 + 11*g + 5. Let f(s) = 7*l(s) + 6*u(s). What is f(-3)?
-7
Let x(t) = 4*t**2 + t**3 + 4*t + 4*t**2 + 2 - 7*t**2 - 6*t. What is x(-3)?
-10
Let a(f) = -f**2 - 6*f - 3. Let t be a(-5). Suppose -t = 3*i + 7. Let s(o) = -o**3 - 3*o**2 + 2* | {
"pile_set_name": "DM Mathematics"
} |
-4*u = -3*u + 3. Let i(v) be the second derivative of v**5/20 + v**4/3 - v**2/2 + 4*v - 15. Give i(u).
8
Let y(k) be the second derivative of -5*k**3/3 - k**2/2 + 42*k. Give y(1).
-11
Let z(v) = -4*v**3 - 15*v**2 + 21*v + 14. Let u(o) = -o**3 - 4*o**2 + 5*o + 4. Let r(h) = 9*u(h) - 2*z(h). Determine r(-7).
36
Let c(j) = -j - 10. Let v = -206 - -202. Give c(v).
-6
Let c(h) = h**2 + 4*h - 6. Let z be -2 + (0 + -4)*1. Determine c(z).
6
Let j(y) = -y**3 + 4*y**2 - 2*y - 2. Suppose 0 = 5*r + 3*p - 21, -4*p + 15 = 5*r - 8. Give j(r).
1
Let d(q) = -251*q - 247*q + 489*q + 1. Determine d(2).
-17
Let g(x) = -x**3 - 18*x**2 - x - 12. Suppose 0 = 90*a - 98*a - 144. What is g(a)?
6
Let c(k) = -k**3 + 5*k**2 + 4*k + 7. Let d = -75 + 81. Give c(d).
-5
Let d(p) = -3*p**3 - 3 + 5*p**3 + 7*p**3 + 7*p**2 - 2*p**3. Let i(j) = 15*j**3 + 15*j**2 - 7. Let y(l) = 13*d(l) - 6*i(l). Give y(0).
3
Let g(u) = u**2 - 3*u + 2. Let f = 60 + -116. Let q = -54 - f. What is g(q)?
0
Let p be 2/9 + 17/(-27)*-6. Suppose -2 + 18 = -p*s. Let o(y) = y**2 + 5*y - 2. Calculate o(s).
-6
Let c(z) = -45*z + 5*z - 10 + 8*z + 31*z. Give c(-16).
6
Let a(f) be the third derivative of -f**5/60 - 2*f**4/3 + f**3/2 - 35*f**2. Determine a(-16).
3
Let y(i) = -20*i**3 - i**2 + i - 1. Let h be -4 - 15/(-6)*(-1 - -3). What is y(h)?
-21
Let k(o) = -3*o**2 - 2*o. Suppose i + 5 = 2*x, -4*x - 5*i + 29 + 2 = 0. Suppose 7*p - 33 = x*p. Let z = 9 - p. Determine k(z).
-8
Let b(y) be the first derivative of -2*y**4/3 - y - 2. Let l(i) be the first derivative of b(i). Let o be 4/(-14) + 9/7. Determine l(o).
-8
Let v = -1 - -6. Let t be (18/15)/1*5. Let h(i) = -i**3 + 2*i**3 + 1 + t*i**2 - 2*i**3 + 37*i - 43*i. Calculate h(v).
-4
Let u(t) = 5. Let c = 7 + -1. Suppose -2*k - c = -0*k. Let s(f) = -f - 4. Let w(o) = k*u(o) - 4*s(o). Calculate w(-4).
-15
Let y be ((-4)/5)/((-40)/(-300)). Let o(n) = -2*n**3 + 12*n**2 + 3*n + 23. Let p(t) = -t**3 + 5*t**2 + t + 11. Let w(i) = -6*o(i) + 13*p(i). Calculate w(y).
-1
Suppose 10 = 6*p - 4*p, 14 = -3*w + 4*p. Suppose -12 + 4 = -4*x. Let n(m) = -w + 1 + m - x + 4. Determine n(2).
3
Suppose -s = -2*n + 5*n - 3, n - 5 = s. Let k(i) be the second derivative of -1/2*i**3 - 2*i**n + 5*i + 0. Determine k(-3).
5
Let h(t) = -t - 16. Let b(r) = -r**2 + 2*r - 1. Let y be b(1). Suppose -2*v + v - 4*v = y. Give h(v).
-16
Suppose -3 = i - 7. Let f = 6 - i. Let m(l) = l**3 - l**2 + l + 2. Let w(p) = -p**3 + p**2 - 2*p - 4. Let d(y) = 5*m(y) + 3*w(y). Calculate d(f).
4
Let o = 62 + -60. Let d(i) = 3*i - 4*i - 2 - 62*i**3 + 61*i**3 + 4*i**o. Calculate d(3).
4
Suppose 2*j + 0*j = 0. Let x(s) = -s**2. Let n(o) = 4*o**2 + o - 4. Let r(u) = n(u) + 3*x(u). Calculate r(j).
-4
Suppose 2*k + 0*p - 14 = -4*p, 3*k - 32 = 5*p. Suppose -k*m + 12 = 3. Let d(c) = -8*c**2 + c. Give d(m).
-7
Suppose 105*z - 39*z = -66. Let c(a) = 20*a**3 - a**2 + 1. Determine c(z).
-20
Let p(r) be the second derivative of r**4/12 - r**3/6 + r**2 + 663*r. Let x(m) = m + 10. Let u be x(-6). What is p(u)?
14
Let g be 5 - ((-13 - -8) + 0 + 1). Let m(j) = -j - 3. What is m(g)?
-12
Let a(x) = 4*x**2 + 1. Let r = 109 + -109. Suppose 0 = -4*w - 16, r*u - 14 = 2*u + 4*w. Calculate a(u).
5
Suppose w - 32 - 45 = 0. Let i = w - 76. Let x(u) = 10*u - 1. Calculate x(i).
9
Let g(l) = -12*l**3 + 3*l**2 - 14*l + 11. Let y(d) = 5*d**3 - 2*d**2 + 6*d - 5. Let x(i) = 2*g(i) + 5*y(i). Let q be ((-16)/(-20))/(2/10). Determine x(q).
5
Let h(o) = 16*o + 418. Let q be h(-26). Let y(k) be the second derivative of -8*k + 0*k**4 - 1/2*k**q + 1/6*k**3 + 1/10*k**5 + 0. Calculate y(1).
2
Suppose 4*l + 60 = 5*p, 3*p + 17 = 5*p - 3*l. Let c be (1 - -13)*p/56. Let n(z) = -z**2 + 7*z - 5. Calculate n(c).
7
Suppose 4*r = -3*g - 23, -g - 4*r - 2 = 19. Let o(x) be the first derivative of 5*x**3/3 - x**2/2 - x + 1. Give o(g).
5
Suppose 0 = 3*c - c - 4. Let k(u) = u**c + u + 5 - 2*u - 7*u + 0. Calculate k(4).
-11
Let o(p) = p - p + p**2 + p - 2*p**3. Suppose -y - 58 = -61. Let n be (1/y)/(1/(-3)). Give o(n).
2
Let p(d) = -5*d + 135. Let l be p(28). Let o(z) = 3*z + 20. Determine o(l).
5
Let q(a) be the first derivative of 4*a - a**2 + 1/3*a**3 + 6. Let k(j) = j**2 - 6*j + 3. Let r be k(6). Give q(r).
7
Let h(s) be the third derivative of -s**5/60 + 17*s**4/24 - 7*s**3/6 + s**2 - 113*s. Calculate h(16).
9
Let y(k) = k**3 - 3*k**2 - 4*k + 2. Let j be y(4). Let b(c) = -3 + 2 + 5 - 2*c + j. Let m be -2 - 4*-1 - -3. Calculate b(m).
-4
Let w be (4/2)/(-5 - -3)*75. Let l = -70 - w. Let d(s) = s**3 - 6*s**2 + 4*s + 5. Determine d(l).
0
Let r(f) = 0*f + 7*f + 36*f**2 - 37*f**2 - 4. What is r(8)?
-12
Let l be 5 - 1/(4/44). Let a(q) = -2*q**2 - 5*q + 4. Calculate a(l).
-38
Let x(k) = -k - 2. Let r(h) = -2*h**3 - 2*h - 2. Let s be r(-1). Let l(m) = -m**2 - m + 4. Let b be l(s). Give x(b).
0
Suppose 19*d + 86 = -47. Let k(p) = -p**3 - 8*p**2 - 7*p - 8. Determine k(d).
-8
Let r(o) = -o + 12. Let k(p) = -12*p - 126. Let b be k(-11). What is r(b)?
6
Let h(f) = f**3 - 7*f**2 + 9*f - 9. Let g(r) = -4*r - 10. Let i be g(-4). Let u be (-57)/(-9) + (-2)/i. Determine h(u).
9
Let w(i) = -i**2 - 3*i - 4. Let f(l) = -3*l**2 - 10*l - 11. Let p(n) = 4*f(n) - 11*w(n). Suppose 0 = j + 13 - 6. Determine p(j).
0
Let d(i) be the first derivative of -i**4/4 + i**2/2 + 16*i + 350. What is d(0)?
16
Let m(x) = -3*x**3 + 89*x**2 + 29*x + 16. Let f be m(30). Let p(j) = -j - 30. Calculate p(f).
-16
Let w(k) = -4*k - 2. Let h(s) be the third derivative of -s**4/24 + 7*s**3/6 - 2*s**2. Let f be h(5). Give w(f).
-10
Let y(u) be the first derivative of -u - 5 - 1/4*u**4 + 2*u**3 - 7/2*u**2. Calculate y(5).
-11
Let w = -5 - -9. Let y = -56 - -68. Let l be -1 + w + y + -12. Let p(j) = -j**3 + 2*j**2 + 2*j + 1. What is p(l)?
-2
Let y be (-204)/(-54) + 2/9. Suppose -y*j + 3*t = -t + 4, -5*j + 3*t = -1. Let g(p) = p - 1. Calculate g(j).
1
Let d(z) = 5*z**2 + z + 1. Let k(y) = 11*y**2 + y + 3. Let h(i) = 13*d(i) - 6*k(i). What is h(4)?
7
Let d(v) = -9*v + 12. Let i(k) = 19*k - 32. Let z(l) = -5*d(l) - 2*i(l). Determine z(1).
11
Let p(z) = 5*z**2 - z - 1. Let f be -9*16/24 - -5. What is p(f)?
5
Let s(j) be the second derivative of 23*j**8/6720 + j**7/2520 - j**6/720 + j**5/120 + 13*j**4/12 + 24*j. Let c(i) be the third derivative of s(i). What is c(1)?
24
Let k be 6 - 8/6*-6. Let y(p) = p**3 - 15*p**2 + 14*p - 4. Calculate y(k).
-4
Let p(k) be the second derivative of k**4/6 - 4*k**3 + 13*k**2 - 62*k - 1. Determine p(11).
4
Suppose -3*f - 4*a - 21 = 0, -3*f + a = -2*a. Let j(k) = k**2 + 8*k - 3. Let v be j(-10). Let h(c) = -c**3 - 2*c**2 - 2*c**2 - v*c + 13*c. Determine h(f).
3
Let l(v) be the third derivative of -v**5/30 + v**4/6 + v**3 - 176*v**2. What is l(6)?
-42
Let q(c) = 4*c**2 - 2. Suppose -2 = s + 4*p, -16*s + 5*p + 4 = -18*s. Let j be s - (-3 + 3)/2. Calculate q(j).
14
Suppose 1 = -5*g + z - 18, g + 19 = 4*z. Let r(t) = -t**3 - 4*t**2 - 4*t + 1. Let w be r(g). Let x(q) = w + q**2 + 0*q**2 - 2*q**2 + 3*q - 2. Give x(4).
-2
Let t(b) = 3*b**3 + 13*b**2 - b + 19. Let w(s) = 8*s**3 + 37*s**2 - 2*s + 55. Let h(y) = -11*t(y) + 4*w(y). Give h(6).
-7
Let s(w) = 22*w**3 + 1 + 33*w**3 + 0 - 48*w**3 + 5*w - 4*w - w**2. Suppose -2*p = f - 9, -18 = -f - 4*p + 1. What is s(f)?
-8
Let x(s) = 3*s**3 - 3*s**2 + 0*s**2 + 1 - 6*s - 2*s**3. Suppose 7*d = 3*d - 52. Let z = -9 - d. Determine x(z).
-7
Let v(p) = -p**3 - 2*p + 1. Let y(n) = -6*n**3 + 10*n**2 - 9*n + 15. Let q(l) = -5*v(l) + y(l). Give q(10).
20
Let q(f) be the second derivative of -f**4/6 + 2*f**2 + 7*f. Suppose 22*l + 2 = 23*l. Suppose -4*n = n - 3*a + 21, 10 = -2*n + l*a. What is q(n)?
-14
Suppose 5*d - 4*l - l = 20, -4*d = -5*l - 17. Let m(y) = -4 + 219*y**3 + y + d - 232*y**3. Determine m(1).
-13
Let f be 0/(1/(-2)*4). Let w be 2/(2 - f) + -4. Let d = -2 + w. Let o(n) = -n**2 - 6*n - 6. What is o(d)?
-1
Let t(a) = 7*a**3 - a**2 + 12*a + 11. Let k(g) = -6*g**3 + 2*g**2 - 11*g - 10. Let n(x) = -6*k(x) - 5*t(x). Let o(l) = 25*l + 156. Let f be o(-6). What is n(f)?
5
Let y(j) = -j**2 - 9*j - 1. Let q(g) be the first derivative of -g**4/4 + 2*g**3 - 7*g**2/2 + 4*g + 1. Let i be q(5). Give y(i).
17
Let h(i) = -i**2 - 4*i + 4. Let a be 3/(-4*2/(-8)). Suppose 5*j + 29 = -a*y, 2*j - 8 = j + 4*y. Calculate h(j).
4
Let t(j) = 3*j + 17*j**2 + 4*j + 1 - 2 - 18* | {
"pile_set_name": "DM Mathematics"
} |
-4*m - 4, -2*i + 0*m + 2 = 2*m for i.
1
Solve 5*k = 3*c + 13, -3*k + 32 = 3*c + k for c.
4
Solve -4*y - 27 = 3*w, -5*w - 46 + 18 = y for y.
-3
Solve 82*g - 8 = -2*d + 78*g, 5*d + 5*g = 5 for d.
-2
Solve -5*q + 5*s = 5, s + 2*s - 3 = 5*q for q.
0
Solve 4*p + 21 = 2*c - 1, 0 = 5*p - 4*c + 32 for p.
-4
Solve y - 4 = -4*f, 4*f + 9 - 5 = y for f.
0
Solve 3*g + 18 = -3*h, -h - 14 = 33*g - 30*g for g.
-4
Solve q = -1, k - 5 = -0*k + 4*q for k.
1
Solve -75*p - 5 = -73*p + n, -p + 4*n + 20 = 0 for p.
0
Solve -s - 7 = -5*q, 0 = 4*s - 2 - 10 for q.
2
Solve 2*u + 10 = -o + 2*o, -2*o - 7 = 5*u for u.
-3
Solve 4*o + r = 6*r + 23, 4*o - 5 = -r for o.
2
Solve -2*m + 10 = 2*d, 2*d - 4*m - 15 = -23 for d.
2
Solve -3*w = w + 4*v - 20, 4*w + 3*v - 15 = 0 for w.
0
Solve -13 = i + 3*u, -5*i + 0*i - 17 = 3*u for i.
-1
Solve -10 = 5*g + 2*t + 1, 0 = 5*t + 15 for g.
-1
Solve -2*n + 3*b = -19, n - 2*b + 1 = -4*b for n.
5
Solve 2*c - 4*c + 7 = -5*n, 2*n = 4*c - 6 for c.
1
Solve 3*m - 14 = 5*k, -4*k - 7 = 9 for m.
-2
Solve -26*z = -28*z - 2, -8 = 3*i - z for i.
-3
Solve -2*n - 2*d - d - 21 = 0, 5 = -d for n.
-3
Solve 4*p + 3*v = 4, -2*v = 35*p - 32*p - 3 for p.
1
Solve 5*u + 4*l - 9*l = 5, -5*u + 41 = 4*l for u.
5
Solve -3*f - 21 = 2*t, -2*t = -7 + 13 for f.
-5
Solve 255*v = 256*v + 4*j + 3, 0 = 4*v + 3*j - 14 for v.
5
Solve -3*x + 5*a + 6 = 0, 0 = -x + 2*a - 3*a - 6 for x.
-3
Solve 4*y = -4*c, -41*c + 42*c = 5*y - 24 for y.
4
Solve -6*y + y + 20 = 0, -f - 12 = -2*y for f.
-4
Solve 0 = -4*n - 5*g + 15, 5*n = -5*g + 2*g + 22 for n.
5
Solve 3*m = 3*o + 3, 3*o + 4 = -2*m + 6 for m.
1
Solve 8 = 4*c + 3*b, -3*c - 3 = -2*c + 2*b for c.
5
Solve 3*q + 3 = 3*l, 4*q + 4*l = 7*l - 6 for q.
-3
Solve 0 = 4*s - 3*t + 4, -3*s - 8 = -4*t - 12 for s.
-4
Solve -18 = 3*j, 0*h + 2*j + 13 = h for h.
1
Solve 2*f = 3*c - 11, 0 = -4*f - 7*c + 5*c + 2 for f.
-1
Solve -5*o - 45 = 5*d, 24 - 4 = -5*o for d.
-5
Solve -2*f + 4*m - 4 = -0, -2*f + m = -2 for f.
2
Solve 2*k - 6 = 0, -4*k + 11 = -4*b + 3 for b.
1
Solve 0 = 3*z + 4*k - k + 6, 4 = z + 4*k for z.
-4
Solve -4*q = -y + 11, 157*q - 29 = 5*y + 158*q for y.
-5
Solve -386*a = -389*a - 2*l - 13, 0 = -5*a + 5*l - 5 for a.
-3
Solve -5*a + y = -9 + 21, -a - 2*y = -2 for a.
-2
Solve 5*a + 2*o = 6, -3*o + 9 = -12*a + 17*a for a.
0
Solve 0 = -5*o - 0*o + 3*v - 9, 0 = 2*v + 4 for o.
-3
Solve 4*o + 2 = -t, -9*o + 4*o + 6 = -3*t for o.
0
Solve p - k = 9, 3*p + 7*k + 8 = 3*k for p.
4
Solve 0 = -b - 3*c + 8, -c + 22 = b + 20 for b.
-1
Solve 100*u - 105*u - 3*i - 47 = 0, 3*u = 5*i - 1 for u.
-7
Solve -5*g + 15 = 5*y, g + 2*g - 5*y = -15 for g.
0
Solve 4*h - q = -5*q + 16, -5*h - q = -20 for h.
4
Solve 189*o - 191*o = -2, 0 = 5*s - 5*o - 15 for s.
4
Solve 4*n = x - 21, 4*n - 3*n + 2 = -3*x for x.
1
Solve 0 = 2*w - s + 4, 3*s + s = 0 for w.
-2
Solve v - 4*g - 10 = -29, 0 = -v - 2*g + 11 for v.
1
Solve -b = -t + 2*b - 5, 0 = t + 2*b - 10 for t.
4
Solve -4*p + 12 = 5*u - 9, -5*p - 4*u + 15 = 0 for p.
-1
Solve -3*y = -c - 0*c + 9, -4*c = -3*y - 18 for y.
-2
Solve -18 = 4*n - b, -3*n - 5*b = -0 + 25 for n.
-5
Solve 3*g + 3*p = -3, -5*g + p = 59 - 72 for g.
2
Solve 3*n + 1 = -3*m + n, 0 = 3*m + 3*n - 3 for m.
-3
Solve -5*k - 5*x - 25 = 0, -51*k - 5*x + 29 = -55*k for k.
-6
Solve 2*a - 3 = 1, -n + 3*a - 9 = 0 for n.
-3
Solve 5*r = 4*d - 3*d + 8, -d - 6 = -4*r for r.
2
Solve 4*s + 2*c + 10 = 0, 38*c + 9 = -3*s + 37*c for s.
-4
Solve 2*y + 12 = f, 7*f - 16 = 9*f + 4*y for f.
2
Solve 0 = -5*z - 5, 6*h - z + 19 = h for h.
-4
Solve h + 11 = -3*d + 2*h, 19 = -3*d - h for d.
-5
Solve -j + 5*j - 3*b - 16 = 0, -8 = -2*j - 4*b for j.
4
Solve 4*q = 3*z + 13, -8*z = -7*z - 1 for q.
4
Solve 1 = -5*b - x + 11, 5*b - 40 = 5*x for b.
3
Solve 2*y - 296*h + 18 = -291*h, 2*h - 5 = 3*y for y.
1
Solve -3*n + 0 = 5*b - 4, 4*b - 5 = -3*n for b.
-1
Solve -l + 3*t - 8 = 0, 8 = -7*l + 12*l - 3*t for l.
4
Solve 5*s = -4*y - 40, 109 - 80 = -5*y - s for y.
-5
Solve h + 4*r = 41 - 31, 2*h + 4*r = 12 for h.
2
Solve -r = 4*c + 8, 0*c - 5*c - 5*r - 10 = 0 for c.
-2
Solve 0 = 4*s - 2*j - 22, 5*s - 461 = 3*j - 432 for s.
4
Solve -3*s + 7*s - a + 1 = 0, 3*s - 12 = 5*a for s.
-1
Solve -9*a + 2*w - 19 = 0, 0 = -2*a + 5*w + 15 - 1 for a.
-3
Solve -25 = 5*t, 12 = -4*a - 3*t - 7 for a.
-1
Solve 5*z - 18 = -2*x, z - 18 = -3*z + 2*x for z.
4
Solve 7*o - 2*o = 3*b - 33, -10 = o - 4*b for o.
-6
Solve -2*d = -4, -3*p + p - d = -10 for p.
4
Solve -3*f = -3*x - 9, 42*x - 3*f = 41*x - 9 for x.
0
Solve 5*h + 4*u = 27, -3*h + 24 = -0*h + 5*u for h.
3
Solve 2*y = 5*u + 12, -231*u - 2*y = -230*u for u.
-2
Solve -m = x + 4, -2*m - 5 - 5 = 0 for x.
1
Solve y - 7 = 4*j, 2*y - 3*j = -5*j - 6 for y.
-1
Solve 2*m + 24 = 4*a - 2*m, -5*a - m = -18 for a.
4
Solve -v + 4 = 3*p, -5*v + 0*v + 2*p = -3 for v.
1
Solve 3*r + 3*s + 3 = 0, 0 = 14*r - 9*r - 2*s - 16 for r.
2
Solve 13 = -5*b + 3*r, 3*b + 0*r + 2*r + 4 = 0 for b.
-2
Solve -f = g + 1, 0*g - 3*g - 12 = 0 for f.
3
Solve -4*u = 3*q - 17, 223*q - 219*q + u - 14 = 0 for q.
3
Solve -4*g = -2*w + 6, -w + 6*g - 11*g - 25 = 0 for w.
-5
Solve 4*b + 2 = -2*m, 85*m = 87*m - 2*b - 16 for m.
5
Solve 4 = 3*k - s + 6*s, -3*k - s - 4 = 0 for k.
-2
Solve 2*x = 4*i + 14 - 20, i = -x + 6 for x.
3
Solve -c - 4*b = -3*c + 8, 0 = 3*c + 2*b + 20 for c.
-4
Solve -9*m = -5*m - 5*b - 7, 2*m - 1 = 5*b for m.
3
Solve 49 - 12 = 4*f + 5*r, 5*f + 4*r - 35 = 0 for f.
3
Solve 6 = -m - 2*r, 0 = -m + 3*m - 5*r - 15 for m.
0
Solve 2*d + 6 = m, -5*d + m = 6 + 15 for d.
-5
Solve 0 = -3*v - 2*d + 6*d + 2, -v + 5*d = 3 for v.
2
Solve -v + 6 = 2*o, -2*v + 2*o = 108 - 102 for v.
0
Solve -k = -j - 2, -16*k + 13*k = -4*j - 8 for k.
0
Solve k + 5 = -2*o, -o - 4*o = 5*k + 20 for k.
-3
Solve 0 = -5*t - 5*d - 10, -23 = 4*t - 2*d - 3 for t.
-4
Solve 3*g = -3*d - 15, -g = -32*d + 27*d + 5 for g.
-5
Solve 5*j = 10*o - 15*o + 45, -4*o + 5*j = 0 for o.
5
Solve 5*h - 3*x + 34 = 0, 4*x = 4*h + 52 - 20 for h.
-5
Solve -13 + 43 = 5*d - 5*z, 4*d - 26 = 5*z for d.
4
Solve x = -40*d + 44*d - 8, -4*x = -3*d - 7 for x.
4
Solve 0 = 2*a + 5*n, -3*a = -a - 4*n for a.
0
Solve 2 = -z + 3*h - 8, 2*h = 8 for z.
2
Solve 0 = -5*x + 3*l - 3, 0*x - 3*x + 5*l + 11 = 0 for x.
-3
Solve 3*o - 37 = -c - 50, c + 16 = -4*o for c.
-4
Solve -3*p + 1 + 21 = 5*b, 3*p = -2*b + 16 for b.
2
Solve 4*t - 177*m + 172*m + 35 = 0, 4*t + 14 = -2*m for t.
-5
Solve -4*g - 2*f - 14 = 0, -20*f + 22*f = -g - 11 for g.
-1
Solve -3*k = 9, 32*c = 33*c - 5*k - 12 for c.
-3
Solve 7*i - 2*l + 6 = 6*i, 4*i + 18 = 5*l for i.
-2
Solve -5 = -2*d - m, -1 = -5*m + 14 for d.
1
Solve 5 = 2*w - 4*o - 15, -w = -o - 6 for w.
2
Solve 6*v - 4 = -3*w + 8*v, -10 = -3*w - 4*v for w.
2
Solve -2*r + 6 = -4*l, 110*l - 3*r - 31 = 114*l for l.
-4
Solve 0 = 5*u + 20, 3*m - 2*u - 9 = 14 for m.
5
Solve -3*j - 39 + 30 = 5*h, 4*j - 3*h - 17 = 0 for j.
2
Solve -5*r - 3 = u + 14, -1 = -2*r - 3*u for r.
-4
Solve -3*y - 3 = 4*a, 2*a - y = -0*a - 9 for a.
-3
Solve 13 = 3*v - 2*x, v + 4*x - 7 = -4*v for v.
3
Solve 3*q + 21 - 4 = 5*m, -3*m + 2*q = -10 for m.
4
Solve 2*m = -0*m - 2, p - 3*m = 3 for p.
0
Solve z + 5*m + 20 = -0*z, m + 3 = 0 for z.
-5
Solve 0 = -11*c + 13*c, -2*f - 3*c - 10 = 0 for f.
-5
Solve 6*b - b - 14 = 2*s, -23 = -s - 5*b for s.
3
Solve 13 = -0*t + 2*t - k, t - 14 = 3*k for t.
5
Solve 5*w + 2*y = 3*w, -2*w - 2 = 3*y for w.
2
Solve -4*z = -a - 22 + 24, -3*a - 11 = 5*z for a.
-2
Solve -4*k = -5*l + 25, -2*l + l - 9 = 2*k for l.
1
Solve 3*c - 13 - 3 = 2*h, h + 1 = -2*c for h.
-5
Solve 0 = -5*c - 4*l - 2, -14*l = -3*c - 9*l + 21 for c.
2
Solve -2*c + 116 = -3*r + 91, 2*r - c = -15 for r.
-5
Solve c - 6*c - 30 = -5*p, 0 = -3*c + p - 8 for c.
-1
Solve -4*h - 10 = -3*h - b, b + 15 = -4*h for h.
-5
Solve 0 = -4*r + 2*s, -20*r - 18 = -19*r - 5*s for r.
2
Solve 4*b + 5*s = 1, -56*s + 55*s - 23 = -5*b for b.
4
Solve 0 = 3*q, 0 = -6*u + 3*u + 5*q for u.
0
Solve 0 = -4*f - 0*k + k - 19, -2*f + 3*k - 7 = 0 for f.
-5
Solve o - 18 = 5*i + 10, 0 = 2*o - 2*i - 16 for o.
3
Solve 0 = -o + 4*t - 6*t + 5, -2*t = -2*o - 20 for o.
-5
Solve -5*f - 13 = j, -2*f = f + 9 for j.
2
Solve 0 = f + 5*n - 15 + 39, 3*f + 3*n + 24 = 0 for f.
-4
Solve -4*w + d = -7*w, -5*w + 3*d = 0 for w.
0
Solve 4*o + 16 = -r, -2*o + 21 = 2*r + 29 for r.
0
Solve 3*l - 8*l = -2*f + 14, -10 = 4*l - 2*f for l.
-4
Solve -2*p = 3*i + 12, - | {
"pile_set_name": "DM Mathematics"
} |
2/(-42)?
2
Let b(d) = -d**3 - 8*d**2 - 7*d + 9. Let h be b(-7). Let g be 12/h - 46/(-6). Let a = -3 + g. What is the units digit of a?
6
Let g(f) = f**3 - 3*f + 11. What is the hundreds digit of g(13)?
1
Let j(v) = -109*v - 3. Let r be j(-2). Suppose -118 = 2*i - 2*q, 4*i + 3*q + 42 + r = 0. Let p = -39 - i. What is the tens digit of p?
2
Suppose 0 = 60*d - 63767 - 251473. What is the tens digit of d?
5
Suppose 4 = 4*q, 5*q + 0*q = -v + 20. What is the tens digit of 2297/v - 10/75?
5
Suppose -67*y = -87*y + 25480. What is the tens digit of y?
7
Let u be (-3)/(-2)*30/9. Suppose -4*h + u*w + 17 = 0, 7*h - 4*h - 4*w - 12 = 0. Let i = h + 0. What is the units digit of i?
8
Let u(h) = h**3 + 5*h**2 + 4*h - 1. Let t be u(-3). Let b be (-21)/(t/(60/(-9))). Suppose -5*i + b = -3*i. What is the tens digit of i?
1
Let q = 325 + -136. Suppose -3*g + 574 = h, -h + q = g - 3*h. What is the units digit of g?
1
Let c be (1 + 177/(-12))/((-3)/12). Suppose 24 = j - 4*o - 10, -c = -2*j - 5*o. What is the units digit of j?
0
Let w be 2/6*(33 + -9). Suppose -w + 4 = 2*v. What is the units digit of 6/12 + (-7)/v?
4
Let c(s) = -s + 3. Let i be c(4). Let d be -153 - 0/5*i. Let u = d + 217. What is the units digit of u?
4
Let u be ((-2)/(-3))/((-160)/84 - -2). Suppose u*z = -2*z + 342. What is the tens digit of z?
3
Let j = 11 + -6. Suppose -5*g + i + 15 = 0, -j*g - 2*i + 5 = -i. What is the units digit of 1*(g - (-32 + -1))?
5
Let k = 71 + 39. Suppose a - 6*a + 275 = -5*n, 0 = -2*a + n + k. What is the units digit of a?
5
Let v(d) = 3*d**2 + 7*d - 19. What is the tens digit of v(-14)?
7
Let f(q) = 2*q**3 + q**2 - 2*q - 8. Let m(b) = -3*b**3 + 2*b + 9. Let p(x) = 4*f(x) + 3*m(x). What is the units digit of p(-3)?
4
Let b = -219 + 1495. What is the hundreds digit of b?
2
Let o be 7/(-14)*148/1. Let m be (155/15)/(2/(-6)). Let n = m - o. What is the units digit of n?
3
Let q = -3005 + 4702. What is the units digit of q?
7
Let v be 60/15 + (2 - 1). Suppose -v*z + 32 = 2*c - 3*c, 12 = z - 3*c. What is the units digit of z?
6
Let w(a) = a**3 - 18*a**2 - 2*a - 76. What is the units digit of w(22)?
6
Let l = 630 + -278. What is the hundreds digit of l?
3
Suppose 4*b = 3*d + 2*d + 177, -4*d - 20 = 0. Suppose b = -m + 131. What is the tens digit of m?
9
Suppose -5 = -5*z + 35. Suppose -6*k = -10*k + z. Suppose k*i = 10, -d + 2*i = i - 9. What is the tens digit of d?
1
Let a = -3536 + 6667. What is the thousands digit of a?
3
Let d(n) = 4*n + 5. Let u be 1 + 10 + 12/(-4). Suppose 3*l + u = 2*b + 29, -5*l = b - 22. What is the tens digit of d(l)?
2
Let k(y) = 2*y**2 + 2*y + 13. Let z be k(0). Suppose z*l - 4018 = -l. What is the tens digit of l?
8
Suppose 4*b - 153 + 37 = 0. Suppose -b = 2*t + 19. Let l = t - -32. What is the units digit of l?
8
Let p be -2*((-1782)/4)/9. Suppose -4*y = 271 + 9. Let h = y + p. What is the tens digit of h?
2
Let m(p) = -p**3 + 11*p**2 - 11*p + 12. Let d be m(10). Suppose d*y = y. Let j = 7 + y. What is the units digit of j?
7
Suppose 0 = 498*l - 500*l + 268. What is the hundreds digit of l?
1
Let k(w) = -w**2 + 8*w - 11. Let v be k(6). Let c be v - (9/3)/(-3). What is the units digit of 5/c - (-7)/(-14)?
2
Let l = 6952 + -3536. What is the thousands digit of l?
3
Suppose 3*g = -3*k - 4 - 20, -30 = 2*g - 5*k. Let l(x) be the first derivative of x**4/4 + 3*x**3 - 13*x**2/2 - 5*x + 3. What is the units digit of l(g)?
5
Let r = 559 - 117. What is the hundreds digit of r?
4
Let i(r) = -r**3 - 7*r**2 + 11*r. Let p be i(-8). Let a be 2/12 - 404/p. Suppose -k - a = -35. What is the units digit of k?
8
Let s be (3/3 + -2)*-3. Suppose -q = -s*q + 84. What is the units digit of q?
2
Suppose -5*n - 8 = -p, -2*n + 1 = 3. Suppose p*t = 3*z + 102, -4*t + 5*z + 81 = -52. What is the tens digit of t?
3
Let w = -89 + 111. Suppose 42*p - 44*p = -w. What is the units digit of p?
1
Suppose 244 - 2776 = -6*q. What is the tens digit of q?
2
Suppose 26*y - 19*y - 6601 = 0. What is the tens digit of y?
4
Let c(y) = -2*y**2 + 3*y**2 + 5 - 3*y + 2*y. Let l(j) = -3*j + 18. Let x be l(6). What is the units digit of c(x)?
5
Let v(a) = 4876*a**2 + 71*a + 72. What is the units digit of v(-1)?
7
Let f(a) = a**3 + 2*a**2 - 4*a - 4. Let l be f(-2). What is the tens digit of (-372)/(-24) + 2/l?
1
Suppose -26*h - 24*h = -134350. What is the tens digit of h?
8
Let v = 6 - -1. Let y(p) = -p**2 + 7*p. Let k be y(v). Let x = k + 30. What is the tens digit of x?
3
Let m(w) = 12*w - 3. Let j be m(3). Suppose -c + 70 = -3*z + 22, z - 2*c = -11. Let i = z + j. What is the tens digit of i?
1
Let m be 1 + 0/(-4) + -75. Let b be m*(-3 + (-20)/(-8)). Suppose 0 = -k + 4*a + b, 0*k + k + 3*a = 9. What is the tens digit of k?
2
Let j(n) = 3*n**3 - 39*n**2 - 22*n + 2. What is the tens digit of j(17)?
9
Let a(l) = 2*l**2 + 6*l + 30. What is the units digit of a(12)?
0
Let j be (-4 + (-28)/12)*(1 - 25). Let y = -64 + j. What is the units digit of y?
8
Let k(l) be the first derivative of -100*l**2 - 4*l + 41. What is the tens digit of k(-1)?
9
Let j(p) = -3*p + 107. Let o = 75 + -75. What is the tens digit of j(o)?
0
Suppose -4*d + 3*i - 203 = 0, -84 = 2*d + 3*i + 31. Let f = d + 139. What is the tens digit of f?
8
Let b(g) be the second derivative of 1/12*g**4 + 0 + 10*g - 5*g**2 + 1/3*g**3. What is the units digit of b(6)?
8
Suppose -58*q = 6162 - 107372. What is the thousands digit of q?
1
Suppose -29 = -4*k - h, -h + 11 = -0*k + k. What is the units digit of (k - 152/16)*(-36)/2?
3
Let n(j) = 18*j**2 + 19*j + 96. What is the units digit of n(-10)?
6
Let t(s) = 62*s - 59. What is the units digit of t(4)?
9
Suppose -16*s + 6 = -19*s, -3*d + 3*s = -222. What is the tens digit of d?
7
Let s(w) = 29*w + 7. Let n be s(7). What is the hundreds digit of n/(-63)*(0 + 636/(-10))?
2
Suppose 0 = 2*i + 5*h - 33, h - 6*h + 25 = 0. What is the units digit of 4 + (-4 - (i + -5))?
1
What is the tens digit of 80/14*(606 - 32)?
8
What is the tens digit of 204/16 + 65/52?
1
Let i(v) = v**3 + 13*v**2 - v - 2 - 5 - 8*v**2. Let d be i(-7). What is the tens digit of ((-10)/(-4))/((-7)/d)?
3
Let q(h) = 27*h**2 + 1. Let c = 53 - 54. What is the tens digit of q(c)?
2
Suppose 5*l - 25 = -5*d, 3*l = -4*d + 14 + 3. What is the tens digit of -2 + (0 - (-225)/l)?
7
Suppose 0 = -3*b + 10 + 5, -5*k + 2*b = -5. Suppose k*j - 3*o = 684, -o = -4*j - 0*o + 912. What is the units digit of j?
8
Let h = 10 + 11. Suppose -q = h - 150. What is the tens digit of q?
2
Let s(d) = -d**3 + 19*d**2 + 24*d + 6. What is the units digit of s(17)?
2
Let i be (-2 + (-94)/4)*2. What is the units digit of -1*2/(-2) - i?
2
Let f(z) = -7*z + 48. Let j be f(7). What is the units digit of (13/(-65))/(j/985)?
7
Suppose 2*q + 3*g = 2, 0*g - g - 18 = -4*q. Suppose 5*w + 10 = 0, q*f = 2*f + w + 266. Suppose 2*v = -2*v + f. What is the units digit of v?
3
Let n be 8/(-6)*27/(-18). Suppose -n*u = -1 - 5. Suppose u*g + l - 35 = -0*l, 3*g - 3*l - 27 = 0. What is the tens digit of g?
1
What is the hundreds digit of 1015 + -42 - -3*(-6)/3?
9
Let u = -50 - -20. Let i = u + 3. Let x = 28 - i. What is the tens digit of x?
5
Let w(s) be the first derivative of -s**6/40 - s**4/24 + s**3/6 + s**2/2 + 6. Let l(i) be the second derivative of w(i). What is the units digit of l(-2)?
7
What is the hundreds digit of (-2)/(42/(-72129)) - 80/(-280)?
4
Let t = 9 + -9. Suppose 0 = 4*k - 7*k - 3*y + 12, t = -k - 5*y + 8. Suppose k*u - 5*h = 102, 4*u - 31 = -3*h + 76. What is the units digit of u?
9
Let n(s) be the first derivative of 2*s**3 - 3*s**2/2 + s - 16. What is the tens digit of n(-2)?
3
Let g = -52 + 88. Suppose 5*c - 14 - g = 0. What is the units digit of c?
0
Let r(m) = m + 553. What is the tens digit of r(0)?
5
Let s = 492 + -483. What is the units digit of s?
9
Let o = 1315 + 306. What is the hundreds digit of o?
6
Suppose 7*f - 2*f - 95 = 0. Let n = -17 + f. Suppose 64 = 3*u - 4*l, -l - 23 = -n*u + 13. What is the tens digit of u?
1
Let j(s) = 3*s**2 + 2*s + 1. Let h(r) = -7*r**2 - 4*r - 2. Let b(m) = 2*h(m) + 5*j(m). Let f be 0 + (-3)/((-3)/(-2)). What is the units digit of b(f)?
1
Suppose 3 - 75 = -3*p. Suppose -i + h = -h + p, i + 10 = -5*h. Let b = -17 - i. What is the units digit of b?
3
Let w(z) = -z**3 - 5*z**2 - 2*z - 7. Let c be w(-5). Suppose -c*p + 218 | {
"pile_set_name": "DM Mathematics"
} |
4 - 4*n*p - 380*n wrt p.
16*n**3 + 4850292*n*p**2
Find the second derivative of 3*t**4 + 92*t**3 + 98820*t**2 + 222*t - 272333 wrt t.
36*t**2 + 552*t + 197640
Find the third derivative of 8*m**2*o**3 + 113*m**2*o**2 + 16328*m*o**3 - 45*m*o**2 - 28*o**3 - 105 wrt o.
48*m**2 + 97968*m - 168
Find the third derivative of -20*d**3*o**3 - 1860*d**3*o + 996*d**3 - d**2*o**2 + 23*d**2 + 35336*d*o**3 - 12*d wrt d.
-120*o**3 - 11160*o + 5976
Find the third derivative of -4426818*t*w**3 + 14*t*w + 586364*w**2 wrt w.
-26560908*t
Differentiate -258*l**4*m - 5*l**3*m + 299*l + 9433330*m with respect to l.
-1032*l**3*m - 15*l**2*m + 299
Find the second derivative of -8*y**4 + y**3 + 234687*y**2 - 22414752*y wrt y.
-96*y**2 + 6*y + 469374
Find the third derivative of 7*d**6 - 42512933*d**3*o + 5615688*d**2*o - o + 32 wrt d.
840*d**3 - 255077598*o
What is the second derivative of -146*b*m**3 - 63*b*m + 731*b - 2604*m**4 + 7*m - 2 wrt m?
-876*b*m - 31248*m**2
Find the second derivative of -899009*g**2*y**4 + 2*g**2*y + 10*g**2 + 187*g*y + 29*g + 189*y**2 - 13 wrt y.
-10788108*g**2*y**2 + 378
What is the second derivative of 8196052*z**4 - 7469628*z wrt z?
98352624*z**2
What is the third derivative of -1995*b**4*m + b**4 + 8812*b**3*m + 45*b**2*m - 5121*b*m - 226*b + m - 2 wrt b?
-47880*b*m + 24*b + 52872*m
What is the first derivative of -124499062*j**3 + 473949028 wrt j?
-373497186*j**2
Differentiate 14547522*w**2 + 11985632 wrt w.
29095044*w
Find the second derivative of -5150082*c**3 - 4378456*c wrt c.
-30900492*c
What is the third derivative of 18475170*c**6 + 159803*c**2 - 16*c?
2217020400*c**3
Find the second derivative of -2049889*b**2 - 446771*b wrt b.
-4099778
What is the second derivative of 81187648*z**5 + 107*z + 166462 wrt z?
1623752960*z**3
What is the second derivative of -9319204*z**2 + 10687381*z wrt z?
-18638408
Find the first derivative of 667*u**3 + 102*u**2 + 529695 wrt u.
2001*u**2 + 204*u
Find the third derivative of 16*j**2*m*w**3 + 3391*j**2*m*w**2 - 435*j**2*w**2 - 431*j*m*w**3 - 52*j*m*w**2 + 3036*j*w**3 wrt w.
96*j**2*m - 2586*j*m + 18216*j
What is the third derivative of 57282708*f**6*i**2 - f**2*i**2 + 2271*f**2 - 10*f*i**2 - 14*f*i - 15*f wrt f?
6873924960*f**3*i**2
What is the second derivative of 247*g*j**4*k - 85640*g*j**3*k - 4*g*j*k + 3*g*j + 22*g*k + 5750*j*k wrt j?
2964*g*j**2*k - 513840*g*j*k
What is the third derivative of 252946*c**5 - 36*c**4 - 2*c**3 + 44358048*c**2 wrt c?
15176760*c**2 - 864*c - 12
What is the second derivative of 402098*l**2*v**2 + 757*l**2 - l*v**2 - 2*v**2 - 328*v wrt v?
804196*l**2 - 2*l - 4
What is the first derivative of -60*c*p**2 - 10804707*c*p + 332374848*c wrt p?
-120*c*p - 10804707*c
Find the third derivative of -4156207*r**3*y**6 - r**3*y**3 - 3*r**3 - 238*r*y**2 + 21*y**2 - 2*y + 2 wrt y.
-498744840*r**3*y**3 - 6*r**3
Find the third derivative of -498454625*p**5 + 75*p**2 - 3324126 wrt p.
-29907277500*p**2
Find the second derivative of 342755809*w**3 + 18351746*w wrt w.
2056534854*w
Find the second derivative of -40155243*q**2 + 29545770*q.
-80310486
What is the second derivative of 185297554*a**2*d**2 - 28*a*d**2 + a*d + 5617*a - 2*d**2 + 7*d + 1 wrt a?
370595108*d**2
Differentiate 6972*p**3 - 34*p**2 - 131*p + 1363449069 wrt p.
20916*p**2 - 68*p - 131
What is the third derivative of -194*m**3*t + 16302*m**3 + 39*m**2*t - 7*m**2 - 3*m*t - 3*m + 411*t wrt m?
-1164*t + 97812
What is the second derivative of -r**2*w**3 - 76*r**2*w - 2*r**2 - 4*r*w**3 + 352*r*w**2 + r + 2*w - 569 wrt w?
-6*r**2*w - 24*r*w + 704*r
Find the second derivative of -312053*t**3 - 10*t**2 - 2187616*t - 2.
-1872318*t - 20
What is the third derivative of -13874836*j**3*w**3 + 6*j**3*w + 2*j*w**4 + 60*j*w**2 + 12253*w wrt w?
-83249016*j**3 + 48*j*w
Differentiate 132708335*k**3 + 1344222663 with respect to k.
398125005*k**2
Find the second derivative of -786837*x**4 + x**3 - x**2 - 2989450*x.
-9442044*x**2 + 6*x - 2
Find the third derivative of -5*i**2*r**3 + 42*i**2*r**2 + 2*i**2*r + i*r + 2177398*r**3 - 5*r**2 - 11514*r wrt r.
-30*i**2 + 13064388
What is the derivative of -3*n**3 - 780*n**2 - 71*n + 18077184?
-9*n**2 - 1560*n - 71
What is the third derivative of 171412766*q**3 - 71*q**2 - 66936*q + 1?
1028476596
Find the third derivative of -351102*d**6 - 2*d**5*s - 13184787*d**2*s wrt d.
-42132240*d**3 - 120*d**2*s
Find the first derivative of 1706227*k**2 + 43162443 wrt k.
3412454*k
What is the third derivative of -5*u**5 - 553*u**4 - 361*u**3 + 8550*u**2 + 16*u?
-300*u**2 - 13272*u - 2166
Find the second derivative of 3286*l**4 + 127*l**3 + 4254*l - 37.
39432*l**2 + 762*l
What is the second derivative of 24*a**2*c**2 + 63776*a**2*c - 1893*a**2 - 17*a*c**2 - 104408*c**2 wrt c?
48*a**2 - 34*a - 208816
Find the second derivative of -27*i**5 + 654*i**4 - 1261*i**2 - 4507*i - 66545.
-540*i**3 + 7848*i**2 - 2522
What is the third derivative of 19578*m**4 + 32*m**3 - 9*m**2 + 17295 wrt m?
469872*m + 192
Differentiate -83853201*r**2 - 75030903 wrt r.
-167706402*r
What is the second derivative of -5497494*a**4*r + 2*a**4 - 2*a*r + 33839988*r wrt a?
-65969928*a**2*r + 24*a**2
What is the second derivative of -230*v**3 + 6082*v**2 - 8552485*v wrt v?
-1380*v + 12164
What is the second derivative of 40797828*h**4 - 25736035*h wrt h?
489573936*h**2
Differentiate -14110515*m**2 + 11325727.
-28221030*m
What is the third derivative of 3*l**6 - 46295735*l**4*q**3 - l**2*q + 66*l*q**3 - 6*l*q + q**3 - 5896 wrt l?
360*l**3 - 1111097640*l*q**3
Find the second derivative of -10324602*k**2 + 31134*k - 90 wrt k.
-20649204
What is the derivative of -5109265*g*w + 1112851*w wrt g?
-5109265*w
Find the first derivative of -777147*f*u + 10*f + 3*u - 125760 wrt u.
-777147*f + 3
What is the second derivative of 4881064*n*o**4 + 2*n*o - 673071 wrt o?
58572768*n*o**2
Find the third derivative of -4147658*x**5 - 244*x**2 + 140 wrt x.
-248859480*x**2
Find the third derivative of -2248201*y**4 + 12*y**3 + 507631173*y**2 wrt y.
-53956824*y + 72
What is the second derivative of -3*f**5*o + 8622971*f**3*o + 5*f*o - 2*f + 4*o + 23796 wrt f?
-60*f**3*o + 51737826*f*o
Find the second derivative of 2*l*n**2*u - 365017*l*n*u**2 + 4628*l*n*u + 323*l*n - 4*n**2*u**2 + 2*n**2 - 2*u wrt u.
-730034*l*n - 8*n**2
What is the second derivative of -19*v**3 + 156606*v**2 - 10845413*v?
-114*v + 313212
What is the derivative of 72508771*j - 10235265 wrt j?
72508771
What is the second derivative of 249500*m**3 - 86*m**2 + 148147*m + 7 wrt m?
1497000*m - 172
Find the first derivative of -m**3 - 120*m**2 - 5218*m - 93892674.
-3*m**2 - 240*m - 5218
Find the third derivative of 8999612*l**3*v**2 + l**2*v**2 - 18*l**2*v + 2*l*v**2 + 5*l + 4*v**2 wrt l.
53997672*v**2
Find the third derivative of -7932*k**2*u**3 + 6*k**2*u**2 - 8418*k**2*u - 2*k**2 - 61*k*u**4 - 3*k*u**2 + 1 wrt u.
-47592*k**2 - 1464*k*u
Find the third derivative of 14124*a*o**3*u**2 - 4*a*o*u**2 - 3*a*o + 3*a*u**2 + 20*o**3*u**2 - 14*o**3*u - 909*o**2*u**2 - 591*o**2*u wrt o.
84744*a*u**2 + 120*u**2 - 84*u
Find the second derivative of -52823622*u**4 + 49249237*u.
-633883464*u**2
Find the third derivative of -36844181*n**5 - 3*n**2 - 4657*n - 5451 wrt n.
-2210650860*n**2
Differentiate -4*o**2*x**3 + 6*o**2*x - 75840*o - 476058847*x**3 with respect to o.
-8*o*x**3 + 12*o*x - 75840
Find the second derivative of -23592*j*l*n**2 - 111*j*n**2 + j*n - 2*j + 2417964*l + n wrt n.
-47184*j*l - 222*j
What is the second derivative of -18440545*g**2*o**2 + 124*g + 65234*o**2 wrt g?
-36881090*o**2
What is the third derivative of 1790*x**4 - 5006*x**3 + 2*x**2 - 381661*x + 14?
42960*x - 30036
Find the third derivative of -14507293*x**3 - 4*x**2 - 556250*x.
-87043758
What is the second derivative of -52323*c**3*h**2*w**2 - c**3*w**2 - 551*c**3 - 595*c*h - 63*h**2*w**2 wrt h?
-104646*c**3*w**2 - 126*w**2
Find the first derivative of 38771946*p**3 - p**2 + 224976596 wrt p.
116315838*p**2 - 2*p
What is the first derivative of 43*f**4 - 2*f**3 - 25*f**2 + 25*f + 73438518 wrt f?
172*f**3 - 6*f**2 - 50*f + 25
Find the third derivative of -444503253*t**5 - 744088177*t**2 wrt t.
-26670195180*t**2
What is the third derivative of 11540548*g**6 - 9*g**2 - 1134157?
1384865760*g**3
What is the second derivative of 2*z**4 - 703*z**3 | {
"pile_set_name": "DM Mathematics"
} |
1/(((-8)/(-2))/4). Does 11 divide f(i)?
False
Let o be ((-22)/(-33))/((-2)/(-6)). Suppose -o*x = 6*t - t - 26, -2*t = -3*x - 18. Is t even?
True
Suppose 0 + 2 = 2*r. Let z be (2 - 3)*r*9. Let o = z - -16. Is o a multiple of 7?
True
Does 4 divide (0 + -2 + 1)*-13?
False
Let h(u) = -u**3 + 2*u**2 + 3*u + 4. Let d be h(3). Suppose s - b = 58, s + d*b - 7 = 61. Is s a multiple of 20?
True
Let w(b) be the first derivative of b**4/4 - 11*b**3/3 + b**2/2 - 11*b - 3. Let j be w(11). Suppose 2*z + 3*z - 100 = j. Is 6 a factor of z?
False
Let v(f) = -4*f**3 + 3*f**2 - 2. Let k be v(-2). Suppose 3*g - k = 2*g. Is g a multiple of 23?
False
Let s = -196 + 282. Suppose 0 = -3*u + 13 + s. Is u a multiple of 18?
False
Let c be -1 - 0 - (-4 + -1). Let o(y) be the first derivative of 2*y**3/3 - 3*y**2 + 5*y - 32. Is o(c) a multiple of 5?
False
Let y(f) be the second derivative of f**5/20 + 5*f**4/6 - f**3/6 + 6*f**2 - f. Is y(-10) a multiple of 11?
True
Let g(r) = r**3 - 6*r**2 + 7*r + 7. Let c be (1 - 2)/((-2)/14). Let n be g(c). Suppose 7*f = 2*f + 5*v + n, -v = 3*f - 47. Does 13 divide f?
False
Let k = 157 + -108. Does 12 divide k?
False
Let n be 3 + -3 + 4 + -2. Suppose n*j = 123 - 19. Does 13 divide j?
True
Is 12 a factor of ((-4)/(12/(-267)))/1?
False
Let g be ((-6)/10)/((-2)/10). Does 26 divide g/(12/(-172))*-2?
False
Let a be 28/(2/(-35)*-5). Is a/8 + 5/(-20) a multiple of 11?
False
Let t = 4 + 1. Suppose -t*v + 0*v + 135 = 0. Is v a multiple of 9?
True
Suppose 5*i = -2*t - 2*t + 410, 0 = 4*i - 4*t - 292. Is i a multiple of 12?
False
Suppose 0 = 2*k + 4*d + 8, -3*k - 2*d = -0*k + 12. Let u = 18 + k. Is u a multiple of 7?
True
Let l = -87 - -136. Is 22 a factor of l?
False
Let b be (1/3)/((-4)/12). Let a be b + 2 + (-2 - 1). Is (a - (-15)/9)*-30 a multiple of 10?
True
Suppose 48 - 260 = -2*c. Let u = c - 67. Is 20 a factor of u?
False
Let x(h) = -h**2 + 7*h - 6. Let i be x(5). Suppose -i = -l + 5. Is 7 a factor of l?
False
Let h(i) = 2*i**2 - i - 1. Is h(-6) a multiple of 11?
True
Suppose -1 - 1 = -n. Suppose p - 5*z - 31 = 0, n*z = -2*p - p + 25. Suppose -d = -p - 4. Does 6 divide d?
False
Let x = -21 - -38. Is x a multiple of 3?
False
Let b = -59 + 75. Does 2 divide b?
True
Suppose -99 = -2*s + 2*r - 23, -5*r = -2*s + 91. Does 10 divide s?
False
Suppose 2*h + 92 = 5*x, -x - 3*x = 3*h + 92. Suppose -5*n + 260 = -90. Let f = h + n. Is 16 a factor of f?
False
Let t(s) = -9*s - 5. Is 11 a factor of t(-3)?
True
Suppose 3 = -h - 0. Suppose 2*r - 13 = -o + 171, -5*r + 474 = -o. Does 17 divide r*h/(-6 - 0)?
False
Suppose 91 - 22 = 3*m. Suppose -2*p - 1 = -m. Is p a multiple of 4?
False
Let f be (-2)/(1 - 1 - -2). Let q(n) = 6*n**2 - n - 1. Is q(f) a multiple of 6?
True
Let w(k) = 2*k - 3 - k**2 - 4*k - 4*k. Is w(-3) a multiple of 3?
True
Does 9 divide (0 + 1)/(3/39)?
False
Let j = 50 + -29. Is 16 a factor of j?
False
Let u = -13 + 26. Let f = 6 + u. Let w = f - 12. Is 7 a factor of w?
True
Let g = 73 + 67. Is g a multiple of 28?
True
Let z be (-2)/(-1 - -3) + -31. Suppose -3*c + 1134 = 18*c. Let o = c + z. Is 12 a factor of o?
False
Let k(m) = -68*m + 42. Is k(-6) a multiple of 15?
True
Let k be (-18)/15*(-15)/6. Suppose -2*a - 11 = k. Let l(o) = o**2 + o - 2. Is l(a) a multiple of 17?
False
Let z = -28 - -88. Is 10 a factor of z?
True
Suppose 2*h = -0*h + 306. Suppose 7*k - 4*k - h = 0. Let s = -25 + k. Does 9 divide s?
False
Does 7 divide (1 - -20)*((-10)/15 - -3)?
True
Let n(v) = v**3 + 7*v**2 - 8*v + 2. Let q be n(-8). Suppose -5*r + o = -83, -q*o + 3*o - 70 = -4*r. Is r a multiple of 17?
True
Suppose 4*h - 27 = 69. Is h a multiple of 6?
True
Let u(p) = -14*p - 3. Let f(d) = 15*d + 3. Let j(i) = -3*f(i) - 2*u(i). Is 16 a factor of j(-3)?
True
Is 3 a factor of 4/(-14) + (-1416)/(-56)?
False
Let k = -2 - -11. Does 10 divide (-1 + 10)/(k/24)?
False
Suppose 6 = 2*n - 3*b, -n + 1 = 3*b - 2. Let j = 0 + n. Suppose 7*k - j*k - 80 = 0. Does 20 divide k?
True
Let j = 7 - -2. Let m be j/(-2)*2/(-3). Suppose d + 4*w - 10 = 0, -m*w = 5*d + 14 - 115. Does 10 divide d?
False
Suppose -5*x + 12 = 2. Suppose 2*d - 50 = u - 4, -x*d + 34 = -4*u. Is d a multiple of 13?
False
Let p(z) = z**2 + 12. Let i be 2/5 - 14/35. Is 4 a factor of p(i)?
True
Suppose 3*w - 3*f = w + 19, 3 = -f. Suppose -2*p - 3*p = -2*j + 23, -j + 13 = -4*p. Let m = j - w. Is m even?
True
Suppose 3*o + 2*o - 2*z = 259, 0 = 3*z + 6. Does 40 divide o?
False
Let q = 158 - 99. Does 13 divide q?
False
Does 18 divide -11*(-44 - 1) - (-30 - -34)?
False
Suppose 223 = 4*d - 0*f + 5*f, 0 = -5*d + 2*f + 254. Does 13 divide d?
True
Suppose 0 = 20*c - 15*c - 60. Does 3 divide c?
True
Let z(h) = h + 12. Is z(6) a multiple of 18?
True
Is 8 a factor of 1*47/(-2)*-2?
False
Let y be 8/(-4) + 34/2. Suppose -3*s + y = -d + 3*d, 3*s = 3*d. Is (10/(-6))/(s/(-9)) a multiple of 2?
False
Let u(q) = q + 2. Let g be u(-4). Let c(h) be the second derivative of -2*h**3 - h**2 - 2*h. Is c(g) a multiple of 8?
False
Suppose -2*i = -3*j - 6*i + 271, -239 = -3*j + 4*i. Does 16 divide j?
False
Suppose 8*f = 2*f + 504. Is 12 a factor of f?
True
Let f(j) = j**3 - 8*j**2 - 9*j + 2. Let m be f(9). Suppose 4*k = -m*w + 154, 6 + 0 = -2*w. Is 15 a factor of k?
False
Let p = -28 + 54. Does 26 divide p?
True
Suppose 0 = 5*p + g - 15, 0*p + 2*g = -2*p - 2. Let i be 10/p*(-96)/(-40). Suppose 3*h = 3*a + h - 41, -3*h + i = 0. Is a a multiple of 13?
False
Let o = 0 + 2. Suppose -o*w + 21 = 5*j, -1 - 2 = -2*j + w. Suppose -j*a = -5*c - 6, 4*c - 17 = -3*a + 16. Does 7 divide a?
True
Suppose -4*l - 8 = -24. Suppose r = -2*n - 2*r + 30, -3*r = -l*n + 60. Is n a multiple of 15?
True
Let f(d) be the second derivative of d**5/20 + d**4/2 + 2*d. Does 8 divide f(-5)?
False
Let x(v) = -v**3 - 2*v**2 + 3*v + 2. Suppose 20 = -2*q - 3*q. Is 10 a factor of x(q)?
False
Suppose 0 = -4*l - 4*g + 148, 2*g = 7*g + 10. Is 13 a factor of l?
True
Suppose 5*a - b = 215, 4*b - 64 = -3*a + 2*a. Is a a multiple of 11?
True
Suppose 16*g + 2*v - 112 = 15*g, 5*g - 500 = 5*v. Is 13 a factor of g?
True
Let g(v) = -4 + 2*v - 2 - 6. Does 5 divide g(9)?
False
Suppose -4 = -i, 2*f - 5*i = 4*f - 248. Does 52 divide f?
False
Suppose 0 = 4*d - 2*d - 138. Does 23 divide d?
True
Let k(w) = -7*w**3 - 3*w**2 + 15*w + 6. Let y(p) = -p**3 + p**2 + p - 1. Let m(f) = -k(f) + 6*y(f). Does 22 divide m(-9)?
False
Suppose 0 = -g + 2*q + 14, -4*q = -g + 29 - 5. Let m = 6 - g. Suppose 14 = -t + m*t. Is t a multiple of 5?
False
Let j = -144 - -234. Is 18 a factor of j?
True
Suppose -3*c - 20 = 5*q + 27, c = -q - 9. Let u be (-34)/q - (-6)/(-15). Is u + -3 - 30/(-1) a multiple of 15?
True
Suppose -3*k + 3 = -l, 0 = 3*l - 8*l - 4*k + 4. Suppose l = 5*n - 3*n + 4*s + 2, -5*n - s = -40. Is n a multiple of 3?
True
Suppose -7 = -t + 8. Is t a multiple of 3?
True
Suppose 0 = -4*a - 16, t + 5*a - 168 = -3*t. Does 7 divide t?
False
Suppose 0 = -4*l + 5*y + 1, l + 0*y - 2*y - 1 = 0. Let t = 8 - l. Let n = t - -8. Does 17 divide n?
True
Let z(f) = 2*f - 13. Let y(j) = j + 29. Let w(v) = 2*v + 44. Let k(h) = -5*w(h) + 8*y(h). Let p(a) = -6*k(a) - 5*z(a). Is p(8) a multiple of 9?
True
Suppose 190 = 2*t - 42. Suppose 0 = 3*g - 5*a - t, -6*a + 52 = g - a. Does 14 divide g?
True
Let u = 6 + -5. Let i be (-2)/(3 - u)*9. Let y(v) = -v - 3. Is y(i) a multiple of 3?
True
Let u be ((-4)/(-5))/((-2)/(-25)). Let c be 5/u + (-10)/(-4). Suppose -4*l = l - 3*n - 186, 4*l - 138 = -c*n. Does 14 divide l?
False
Let o be -1 + (-2 - -2) - -4. Let y = 13 + -2. Let v = y - o. Is 4 a factor of v?
True
Suppose 5 = 2*d - 53. Let f be (d/(-2))/((-1)/2). Is f + -1 + (0 - 0) a multiple of 16?
False
Let n be -9*((-68)/(-3))/1. Does 17 divide ((-5)/2)/(6/n)?
True
Suppose 3*f + 3*c - c = 9, -2*c - 1 = f. Suppose 2*s - f*s = -57. Suppose 20 = 4*v, -4*q + v + 88 = -s. Is q a multiple of 13?
False
Does 5 divide (-1 - -3 - 3)*-10?
True
Let j be ((-3)/6)/((-2)/4). Let y = 25 - j. Does 12 divide y?
True
Suppose -49 - 41 = 5*l. Is 18 a factor of (-1041)/(-18) + (-3)/l?
False
Let b(n) = -81*n - 59. Is 15 a factor of b(-5)?
False
Suppose 2*t = -13 + 163. Let j be 11/3 - (-6)/(-9). Suppose -27 = -5*h - n + t, -j*n = h - 26. Is 15 a factor of h?
False
Let k be 8/(-6)*(-6)/(-2). Let n be 15 + 1/((-2)/k). Suppose -2*q = -23 - n. Is 10 a factor of q?
Tru | {
"pile_set_name": "DM Mathematics"
} |
a(l) = 2*l**2 - 2*l + 1. Let z be a(3). Let m = z + -8. Let y = 20 - m. Solve 5*d = f - y, f - 3*f = -2*d + 2 for f.
-5
Let n = -56 + 66. Let k(u) be the first derivative of u**2/2 + 8*u - 2. Let b be k(-4). Solve -b*f = y - 4*y + 31, -2*y = -n for f.
-4
Let a = -5 + 0. Let s(m) = m**3 + 2*m**2 - 7*m - 7. Let c be s(a). Let p be c/(-9) - (-6)/(-27). Solve z - p*z + 2*n = 22, -11 = -z - 5*n for z.
-4
Let k be (52/7)/((-6)/(-21)). Solve -2*o + 5*v + k = 8, -4*v - 4 = o for o.
4
Suppose 12*y = 16*y - 16. Solve 6*x = 3*b + 2*x - y, -5*x - 5 = 0 for b.
0
Suppose -5*a + 6*n - 4*n = -6, 5*a + 4*n = 18. Solve -2*y - a = l + 4, -3*y - 9 = -3*l for y.
-3
Let s(l) = l**3 + 3*l**2 - 5*l - 2. Let j be s(-4). Suppose f = 4*y - 29, 2*y + 3*f - 41 = -j*y. Solve 0*q - x - 11 = 2*q, 4*x = q - y for q.
-4
Let o = 5 - 2. Solve -2*y = 2*x + 14, 5*y + 29 = x - o*x for y.
-5
Let k = -10 - -12. Solve 0 = -x - k*r - 1, -3*x + 0*r = -5*r - 19 for x.
3
Let i be 1 + 10/(-2)*-1. Suppose -1 + i = d. Suppose -2*p - 2*y - 16 = -4*p, 0 = d*p + 3*y - 72. Solve -p = 4*k + 4*l + 12, 2*k = l + 3 for k.
-1
Let h = -33 - -36. Solve 3*k + 2*g + 4 = 0, -20 = -8*g + h*g for k.
-4
Let c(r) = -r**2 - 6*r - 2. Let n be -2 - -1 - (3 - 0). Let t = n + -1. Let u be c(t). Solve -4*q = 4*d - 8, 0 - 6 = -u*q + d for q.
2
Suppose 8*d = 7*d + 28. Let i = 57 - 41. Let n be d/i - (-1)/4. Solve -2*z = n*x - 2, -14 = -2*z - 3*z + 4*x for z.
2
Let w = 50 + -48. Solve -w + 1 = j, -a - j = -4 for a.
5
Let r(s) = -s + 19. Let o be r(0). Let p(q) = q**2 - 1. Let b be p(1). Let n = b + 4. Solve y - 3*z = -n*y - 21, 5*y = 2*z - o for y.
-3
Let f be ((-9)/(-12)*4)/(6/4). Solve -5*j - 2*z = 23, -j = -f*z - 3*z + 10 for j.
-5
Suppose -u + 4*m = 2*u - 11, 4*u + m = 21. Suppose -v - 21 = -u*b, 5*v + 5 = -0. Solve -5*i + b*y - 1 = 18, -5*i - 5*y - 10 = 0 for i.
-3
Let u be -1 - (-1 + -13)/2. Let i = 16 - 23. Let w = -4 - i. Solve 2*z + 6 = -u*m + 3*m, w = 5*z + 3*m for z.
3
Let a(n) be the second derivative of -n**3/6 - 7*n**2/2 - 6*n. Let l be a(-12). Solve 0 = -3*v + l*z - 15, -4*v = -z + 3 - 0 for v.
0
Let w = -59 - -12. Let k = -11 - w. Solve -4*y = 4*s + 32, 0 = 4*s + 4*y + y + k for s.
-4
Let b be 3/((-2)/(8/(-3))). Solve -4*n + 23 = 4*q - 7*n, b*q + n - 19 = 0 for q.
5
Let g(z) = -z**3 - 16*z**2 - z - 16. Let q be g(-16). Solve q = 4*s - 5 + 1, 0 = -4*n - s + 9 for n.
2
Let z(a) = -5*a. Let w be z(-2). Suppose 0*h - w = -5*h. Solve -5*m - r = -3*r - 8, 3*m - h*r - 8 = 0 for m.
0
Suppose 0 = -3*q - 2*q + 30. Let v = 9 - q. Suppose -v*g + 5*d = -14, 12 = -0*g + 5*g + 3*d. Solve -i = -l - 4*i - 11, -i = g*l + 9 for l.
-2
Suppose -o - o + 2 = 0. Let p(y) be the first derivative of -y**2/2 - 2*y - 2. Let r be p(-5). Solve -u - 2 = 2*c - r*c, -2*c = u - o for u.
-1
Let u(j) = j**2 - 6*j + 2. Let a be u(6). Suppose -4*g + 3 = -g - 3*d, -5*g = a*d - 19. Solve -3 = g*k, 0 = -2*i + i - k - 5 for i.
-4
Let b be ((-2)/5)/((-5)/50). Suppose 0 = -b*j + j + 15. Solve -j*n - 2*g = 4 - 23, -4*n = g - 17 for n.
5
Suppose w = 3*w - 6. Suppose w*h = -h. Solve -13 = -3*s - 4*c, -2 = -h*c - 2*c for s.
3
Suppose 2*x - z = 4, 4*x - 4 = -0*z + 4*z. Solve -2 = -3*m - o + 12, 18 = m + x*o for m.
3
Let m(x) = x**3 + 3*x**2 + 3. Let z be -5 + (0/2 - -2). Let s be m(z). Suppose -s*d = -4*d + 2. Solve -d*b + 10 = -4*q, -5*b - q = -3*b for b.
1
Suppose -3*d = 0, -4*d + 8 = -s + 3*s. Suppose -2*h = -h + 58. Let g = h - -82. Solve 2*v + 9 = -z, -s*z = -0*v - 4*v - g for z.
1
Suppose -5*c + 7 = 2. Let g = 3 - -3. Let j = -4 + g. Solve b + c = -5*q, 3 = -q + j*q - 3*b for q.
0
Let y(z) = z - 5. Let p be y(8). Let l be (-4)/p*9/(-6). Solve u - 27 = -5*q, -u + 4 - l = 0 for q.
5
Let a(p) = -p**3 + 2*p**2 + p. Let t be a(2). Solve 3*c + 4*u = -t*c + 12, 0 = -3*u + 9 for c.
0
Suppose 4*g + 2 - 22 = 0. Suppose 0 = 5*c - 20, g*u + 2*c - 13 - 15 = 0. Solve u*y - a + 7 = 0, -2*y - a - 2 = -3*a for y.
-2
Suppose 2*s - 15 = g, 5*g + 19 + 64 = 2*s. Let d = g + 20. Solve d*r + 17 = -4*p, 2*p - p = -2 for r.
-3
Let c(b) = -b**3 + 4*b**2 - 2*b - 1. Let u be c(3). Let k be 0/(-3) - u/(-2). Let j = k + 2. Solve 0 = -4*s + j*l - 23, -s - 6 = -3*s - 2*l for s.
-2
Let c(v) be the second derivative of -1/6*v**3 - v + 0 - 5/2*v**2. Let g be c(-6). Solve -2*s - 4*p = g - 3, 0 = 5*s - 2*p + 31 for s.
-5
Let u be (-8)/(-2)*(-2)/(-4). Let d be u/(-3) - 11/(-3). Suppose 4*l - 2*n = -3*n + 52, 3*l - 34 = -2*n. Solve d*m - 14 = 5*w, -m + w - l = -6*m for m.
3
Suppose -4*d - 2 = -10. Suppose 4*s = d*s + 3*c + 22, 3 = -s - 2*c. Suppose 5*n - 25 + 6 = -r, n - r - s = 0. Solve 2*m = 2*w + 10, -m = 3*w + n*m - 1 for w.
-3
Let z = 4 - 4. Suppose q = 4*d - 8, 4*d - 4 = 6*q - 4*q. Suppose -3 = -3*x + d. Solve u - 26 = -n + 6*n, -x*u + 2 = z for n.
-5
Let x = 10 - 5. Suppose z - 4*a = -x, 5*z - 2*a = 3*a + 5. Solve -21 = 5*o + 2*c, z*o = 2*c - 0 - 3 for o.
-3
Let u = 3 - 1. Let p be (2 - 1)*12/u. Solve 3*r = r + 2*j + p, -2*r = j + 6 for r.
-1
Suppose 5*h = -5*r - 15, -8 = 2*h + 3*r + 2. Let z be 3/1*h/1. Suppose p = -2*p - 2*w + 11, -2*w - 31 = -z*p. Solve -4*t = -t - o - p, 2*t - 22 = 5*o for t.
1
Let b = 1 - 1. Let d(j) = -j + 0*j + j**2 + b*j + 3. Let o be d(0). Solve 0 = 2*w - 0*p + 3*p + 3, -3 = -5*w + o*p for w.
0
Let t be 9 - (-9)/(36/(-16)). Solve -5*j + t = -3*d - 10, 3*j - 9 = -d for j.
3
Suppose 0 = -3*q + 7*q. Solve -3*r - w + 13 + q = 0, -4*r = w - 18 for r.
5
Let c(d) = 1 - 4*d**3 + 2*d - 3 - 1 + 3*d**3 + 4*d**2. Let q be c(4). Solve 3*t = -3*g - q - 4, -4*g = t + 15 for t.
1
Let w = -24 + 28. Solve -12 = -5*q - 3*o, -w*q - 3 = o - 7 for q.
0
Let z(j) = -j**3 - 2*j**2 - 2*j - 1. Let v be z(-2). Suppose -y - 1 = -v. Solve -23 = -l - 5*k, 2*l - y*k - 2 = -4 for l.
3
Let s = -12 + 19. Suppose 0 = s*k - 12*k + 20. Solve k*r + 11 = -2*l - r, -3*l - 8 = -r for l.
-3
Let c = 197 + -197. Solve -3*d = -t + 1 - 0, c = -4*d - 5*t + 24 for d.
1
Let y = -2 - -6. Suppose 2*r + y = 3*r. Solve -q = -r*m + 5*m - 4, 2*q = 4 for m.
2
Let s be (-267)/(-21) + 2/7. Let q = -9 + s. Solve -q*z + z + 2*x = -4, -z = -2*x for z.
2
Suppose -o - 20 = -5*o. Solve 0 = 5*x - 5*f - 15, -5 + 21 = 4*x - o*f for x.
-1
Suppose 6*w = 4*w + 4*y + 4, 0 = -2*w - 3*y - 17. Let i = 1 - w. Suppose a + 5 = 3*b, 3*a = -4*b + 3*b + i. Solve 2*l + 6 = -3*c, 0*l + 5*l + b*c = -15 for l.
-3
Let j be (-7 - (-16)/(-12)) + (-8)/(-6). Suppose 0 = -h - 0*h - 3. Let p = h - j. Solve -3*t + 2*g = -2*t + p, 5*t + 4*g = 22 for t.
2
Let l be 2*(4 + 1*-2). Suppose -3*f = -l*o + 17, -o - 5*f - 13 = -0*o. Let z be ((0/1)/(-1))/o. Solve z = c - 5*n + 27, -7*c + 3*n = -2*c + 25 for c.
-2
Let j(r) = -3*r - 2. Let s be j(-2). Let f(k) = -k**2 + 7*k. Let l be f(7). Let p = l - -1. Solve -2*u + 9 = h, 5*u - s + p = 4*h for h.
3
Let g(r) = r + 2. Let q be g(-5). Let k be q/(-2 - -5) - -6. Let j be (1/(-3))/(k/(-45)). Solve -5*m + x = j*x - 16, 0 = -m + x - 1 for m.
2
Let d = -16 - -11. Let n be 4/12 - d/3. Solve -t + 5 = t + 3*b, -2*b = n*t for t.
-5
Suppose 0 = 3*c + 9, 7*c - 2*c + 21 = 3*j. Suppose -21*z + 27 = -15. Solve 16 = -j*y - 5*q, -3*y - z = 2*q - 0*q for y.
2
Let p = 24 - 5. Solve -3*g - p = -5*u, 3*u - 4 = 2*g + 4*u for g.
-3
Suppose 4*a = -3*z + 6, 2*z + 3*z = 4*a + 10. Solve -5*g + 28 = u, a = -2*u - 5*g + 21 + 10 for u.
3
Let q = -1 - -5. Let a be 7/(-21) + 28/12. Solve -q*f - a*g = -7*g + 15, -f = -3*g + 2 for f.
-5
Let p = 6 - 3. Suppose 3*k + 15 = p*a, 3*a + k + 1 = -4. Solve -i + 5 = 0, -2*q + 7*q + i = a for q.
-1
Suppose d + 12 = -4*q - 0, d + 16 = -5*q. Solve d*z - 2*f + 4 + 2 = 0, -3*z - 17 = -4*f for z.
1
Let r(a) = a**2 + 9*a + 12. Let l be r(-8). Solve -2*w - 18 = -l*o, 0*w - 5*w = 3*o + 19 for w.
-5
Suppose 2*p = p + 10. Solve 0 = -2*d - 5*k + 10, 4*k - p = d - 2 for d.
0
Suppose 0 = 5*g - 10, 0*n + 75 = 5*n - 5*g. Suppose 2*w + 7 - 17 = 0. Solve -3*u = -4*l - 2*u - 13, -n = w*l - u for l.
-4
Let q(z) = -z**3 - 11*z**2 + 8. Let s be q(-11). Let n be (-2)/(-4) + 17/2. Let m be (s/(-6))/((-3)/n). Solve -x = 5, -m*k - k - 2*x = 35 for k.
-5
Let x(k) = -k**3 - 3*k - 3. Let b be x(-2). Solve -2*l + 10 = -5*y - b, 9 = -y + 2*l for y.
-3
Let k(c) be the third derivative of c**4/24 + c**3/3 + 4*c**2. Let y be k(2). Let o = 8 - 5. Solve -y*m + z + 2*z - 3 = 0, o*z - 18 = -m for m.
3
Suppose -3*y + 20 = -2*h | {
"pile_set_name": "DM Mathematics"
} |
x = -c for d.
3
Let n(l) = -l**3 + 2*l**2 + 6*l - 2. Let x be n(4). Let s = 10 - x. Solve 0 = -3*t - t - s for t.
-5
Let c be ((-1)/(-3))/((-5)/(-135)). Solve -5*s + c*s = 8 for s.
2
Suppose 5*x + 42 - 112 = 0. Solve -3*h + 5 - x = 0 for h.
-3
Suppose -2*v = v + 3*s - 9, 3*v - 44 = 4*s. Let w be 1*-2 - v/(-4). Solve -12 + w = 3*q for q.
-4
Let f = -33 - -35. Solve 1 = p - f for p.
3
Let w(v) = -7*v - 3. Let t be w(-2). Let b(m) = -2 + 0*m**2 - 3 + t*m**2 - m**3 - 9*m. Let g be b(10). Solve -g*z = -4*z - 5 for z.
5
Let t(d) = d**2 - 10*d + 4. Let c be t(10). Suppose 2*a - 4*z = 8, z + 7 + 9 = c*a. Solve 3*w = 7*w - a for w.
1
Let d = 5 + 2. Let z = -5 + d. Suppose -z*c + 1 = -5. Solve -c*w = 11 + 1 for w.
-4
Let i(o) = o**3 + 11*o**2 - 2*o - 13. Let n be i(-11). Suppose 0 = 5*s - n - 6. Solve l = -s*l - 4 for l.
-1
Let r(l) = -2*l**2 + 10*l + 2. Let v be r(5). Suppose 5*n + 36 + 4 = 0. Let y = 14 + n. Solve -v*w = y - 0 for w.
-3
Let x(c) = c - 6. Let a be x(8). Let f be (-45)/10*a/(-3). Suppose q - 3*q = 0. Solve f*y - 8 - 7 = q for y.
5
Suppose -c = -8 + 1. Solve -5 = c*s - 2*s for s.
-1
Let y(x) = x**2 - 9*x + 4. Let c be y(9). Let k be (0/3)/(-2 - -3). Solve k = -o + c for o.
4
Let x = -10 - -14. Solve -x*r = r - 15 for r.
3
Let x be 25/9 - 8/(-36). Let n = -4 - -8. Solve g = x - n for g.
-1
Let x(p) = -2*p + 1. Let q(n) = n + 1. Let v(k) = 6*q(k) + 2*x(k). Let f be v(-4). Solve 0*d - 2*d - 8 = f for d.
-4
Suppose -f - 4 = -8. Let i be (6/4)/((-1)/(-22)). Let p = i + -13. Solve -8*y - p = -f*y for y.
-5
Suppose 0 = 3*u - 1 - 8. Let s = -4 + u. Let q be (-1 - s)*3/6. Solve -3*f + 4*f - 2 = q for f.
2
Suppose 10*n - 12 = 6*n. Suppose n*i + 2 = 14. Solve -2 = i*b + 2 for b.
-1
Suppose 0 = t - 3*t - 10. Let m be (30/t)/(2/(-4)). Suppose u + m = 4*u. Solve -10 = 6*s - u*s for s.
-5
Suppose 0 = 4*u - 3*u - h - 3, -h - 35 = -5*u. Solve -3*j + u + 7 = 0 for j.
5
Suppose 2*h - 4 + 8 = -2*q, -5*q + 2*h + 18 = 0. Suppose 3*n - 20 = -q*n. Solve 2*y + 2 = n*y for y.
1
Let n(f) = f**3 - 3*f**2 + 2*f - 3. Let s be n(3). Solve -8 = s*x + 4 for x.
-4
Let p(h) = h**2 - 9*h - 7. Suppose 28 = 5*i - 22. Let s be p(i). Solve 5 = -s*w - 1 for w.
-2
Let w(c) = -3*c + 4. Let j be w(0). Solve j*t + 9 = -3 for t.
-3
Suppose -h - 2*n - 3 = 0, -2*h - 5*n = -4*h - 6. Let j(o) = o**2 + o - 2. Let p be j(h). Solve -p*d + 11 = -5 for d.
4
Let u be (10/6)/(6/18). Solve u*m + 3 = -7 for m.
-2
Let n(b) = -7*b - 43. Let c be n(-7). Solve 0 = -2*k + 4 + c for k.
5
Let t = 49 - 43. Solve v - t*v - 5 = 0 for v.
-1
Suppose -3*y = 3*h - 39, 4*y + h = 5*h + 12. Suppose -y = -c - 1. Solve 0 = -4*i + 5 + c for i.
3
Let g be 2/4 + (-1)/(-2). Let u be (g + 5)*(-2)/(-2). Suppose -5*h = -d + 20, 6*h - h = -5*d + 10. Solve 0 = d*p - 3*p - u for p.
3
Let m(p) = -p - 7. Let s be m(-9). Suppose s*x = 2*i + 3*i, -5*x = 3*i. Let j = i + 0. Solve 3*y = -3 - j for y.
-1
Let d(k) = k - 4 - 2*k + 0*k - k**2. Let h(a) = 5*a**2 + 5*a + 17. Let c(v) = 9*d(v) + 2*h(v). Let w be c(-3). Solve -n = -w*n + 15 for n.
5
Suppose 3*z + 36 = 3*k, 4*z + z - 8 = k. Suppose 2*q - 5*t = 7*q - 20, 4*q + 5*t = k. Let f be 8 - ((-12)/q - -2). Solve -3*i + f = -i for i.
5
Suppose 0 = 3*o - 5*c + 7, -3*o - 2*c + 0 = -28. Solve o = -v - v for v.
-3
Let s(g) = 3*g**3 - 3*g**2 - 6*g + 4. Let h be s(2). Solve 3*n - 5*n + h = 0 for n.
2
Suppose 3*r + g - 4 = 9, 4*r = 4*g - 4. Solve r*z + 9 = -3 for z.
-4
Suppose 3*m - 66 = 5*m. Let r be (-6)/m + (-2)/11. Suppose -4 = -l - b + 3, 4*l - 4*b + 12 = 0. Solve r*n = n - l for n.
2
Let w = -4 + 24. Suppose -3*j - j = 2*l - w, 2*j - 10 = 3*l. Suppose 2*s + 12 = 2*k, 31 - 1 = 5*k - s. Solve j*f = -k - 4 for f.
-2
Let n = -2 - -7. Solve p + n = 1 for p.
-4
Suppose 5*m - 2*m + 5*g - 25 = 0, -2*g - 11 = -3*m. Let n(k) = 20*k - 130. Let x be n(7). Solve -m*u - x + 0 = 0 for u.
-2
Let h = -2 - -9. Solve 5*y + h = -13 for y.
-4
Let a(w) = -w**3 - 13*w**2 + 15*w + 22. Let b be a(-14). Solve -7*h + 5*h = b for h.
-4
Suppose 0 = -3*o - q + 70, 5*o - q - 2*q - 126 = 0. Let x = o + -4. Let y = 0 + 0. Solve -6*j + j - x = y for j.
-4
Suppose 3*r - 5*j = -r - 53, -5*r = -5*j + 70. Let b = -7 - r. Solve -u - b = u for u.
-5
Let f be 2/2*-1*-1. Let c = 0 + 3. Solve c*n - 4 = -f for n.
1
Let s be 10/(-4)*(-6)/5. Suppose -c = -d, s*c = -d - c. Solve d = 5*h + 5 for h.
-1
Suppose -11*m + 15*m - 24 = 0. Solve -a + 1 - m = 0 for a.
-5
Let c be (-2 + 2)/(4/2). Solve c = -2*i - 1 + 5 for i.
2
Suppose 3*p = 11 + 7. Suppose c + 2*a + 48 = p*c, -5*a - 60 = -5*c. Solve 0*d + c = 2*d for d.
4
Let j = 4 - -1. Solve 0 = j*b - 5 - 5 for b.
2
Let j = -12 - -18. Let a = 19 - j. Solve -5*h + a = 3 for h.
2
Let m be -3*(-21)/9 - -2. Solve 7*k = m*k + 8 for k.
-4
Let w(x) = 2*x - 4. Let f be w(3). Let v = f - -3. Solve -15 = 2*h - v for h.
-5
Suppose 60 = 4*c - 4*h, 0*c + 25 = 4*c + 3*h. Solve 0 = -b - b + c for b.
5
Suppose 3*o + 3*w + w = 32, 4*o - 2*w = 6. Let n = 4 + -3. Let t be n/5 - 144/(-30). Solve -o*d + t*d = 0 for d.
0
Let o be (6/(-5))/((-3)/15). Suppose o = t - 10. Suppose 2*n = 5*c - t, 7*c - 24 = -4*n + 3*c. Solve 0 = -2*h - n - 0 for h.
-1
Let d = 26 - 11. Let g = d + -10. Solve 0 = -g*q + 6 + 14 for q.
4
Suppose -j = -5*z - 1, -j - 2 = 4*z - 3*j. Solve z + 2 = -2*i for i.
-1
Let l(m) = -m**3 - 6*m**2 + 7*m + 2. Let d be l(-7). Suppose -7*h = 4*n - d*h + 24, 0 = -5*n + h - 30. Let x be 4/n + 44/12. Solve x*w + 4 = w for w.
-2
Let o(z) = z**3 + 8*z**2 - 10*z - 3. Let v be o(-9). Solve v*i - 2*i = 0 for i.
0
Let l(s) = -2*s**2 - 5*s - 9 - s**3 + 2*s - 5*s**2 + 10*s. Let t be l(-8). Let h be (6/t)/(-3) + 0. Solve h*a = -0*a - 2 for a.
-1
Suppose 0 = -3*d + d. Suppose -a + 26 - 1 = d. Let q = a - 15. Solve -5*u + 5 = -q for u.
3
Let k = -20 + 22. Solve p = -k*p - 12 for p.
-4
Let q = 21 - 5. Suppose k + 2*k - q = -5*w, 0 = -4*k + 8. Solve -4*x = -w*x + 6 for x.
-3
Let b be -7*-1*(-2 - -4). Let t be ((-9)/(-2))/(2/(-4)). Let d = t - -14. Solve -d*k + 11 = -b for k.
5
Let c be (-2)/4 - 9/(-2). Solve -c*a - a - 25 = 0 for a.
-5
Let f(x) = -x**3 - 3*x**2 + 2*x. Let m be f(-4). Solve -4*k + m = -0*k for k.
2
Suppose -4*s + s = -27. Solve 0 = -2*w + 3 - s for w.
-3
Let w = -23 + 27. Solve -3*s = 1 - w for s.
1
Let w be (-11 - -12)*(6 - 1). Solve 3*d = -w + 17 for d.
4
Suppose y - 10 = -4*y. Suppose -k + y*k = 2. Solve 0 = k*j + 4 - 6 for j.
1
Suppose 0 = -3*n + 9 - 3. Let s be (n + -12)/((-1)/2). Solve -5*j + 5 = -s for j.
5
Let l be 0/1*(-4 - -3). Let q = 5 - 3. Suppose 5*k - 6*t + 4*t - 30 = 0, -q*k - 7 = 3*t. Solve l = -3*i + k - 13 for i.
-3
Let q be (4/(-3))/(-4) - (-5)/3. Solve 0 = 4*b - q + 10 for b.
-2
Suppose 0*k = 3*k + 4*q - 54, 3*k - 75 = 3*q. Solve -20*d + k*d = -6 for d.
-3
Suppose 2*y - 1 = 7. Suppose 44 = -4*w + 4. Let f = w - -16. Solve 0 = -7*l + y*l - f for l.
-2
Let h be -1 - -3 - 2/(-2). Suppose -h*f = f. Suppose m = -2*m - 5*j + 13, 2*m - 2*j + 2 = f. Solve -m = -a + 1 for a.
2
Suppose -2*k = -0*k - 22. Suppose 2*u - k = 37. Solve 9 = 3*o + u for o.
-5
Suppose z - 20 = -3*z - 4*r, -3*r + 15 = 4*z. Let a = 41 - 27. Let k be a/(-2)*6/(-7). Solve k*u - u - 15 = z for u.
3
Let z = 43 - 37. Solve z = -0*o - 2*o for o.
-3
Let n = 141 - 213. Let q = 101 + n. Solve q = -5*o + 9 for o.
-4
Suppose 0 = -3*n + 4*g + 13 + 12, 5*n + g - 11 = 0. Suppose -5*q + n*q = -6. Suppose -1 = 3*f - q*p - 25, -5*f - 4*p = 5. Solve f*w - 10 = 5*w for w.
-5
Let x = -6 - -6. Let p be (-10)/(-3)*(-6)/(-4). Suppose l - 6*l + f = -3, x = 5*l + p*f + 15. Solve -4*g + 20 + l = 0 for g.
5
Suppose 3 = 7*v - 6*v. Solve v = -a - 2 for a.
-5
Let o(x) = x**2 + 6*x. Let w be (1 + 1/(-1))/(-1). Suppose w*y + 6 = -y. Let g be o(y). Solve -4*s + 7 + 1 = g for s.
2
Let k = 168 - 161. Solve k = -4*g - 1 for g.
-2
Let p(w) = w**2 - 4*w + 1. Let a be p(3). Let s = a + 2. Solve s = -4*d - 2 - 2 for d.
-1
Let j be 2*(-3)/(-12)*-22. Let z = 15 + j. Let u = z - 1. Solve u - 1 = -y for y.
-2
Suppose 102 = -5*m + 4*h, -4*h = -m + h - 33. Let x be -6*(-3)/m*-2. Solve 6*f - x*f = -8 for f.
-2
Suppose 2 = -u - 0*u, -3*u = -4*y + 14. Suppose -234 = -4*j + 54. Let a be (-4)/10 + j/30. Solve -4*z - a = y for z.
-1
Suppose 25 = 5*r - 5*j, -2*r - 3*j - 9 = 6. Let l = r - -4. Solve -6*u + 2*u + l = 0 for u.
1
Suppose -2*f - 1 = -5. Let r be (-12) | {
"pile_set_name": "DM Mathematics"
} |
0 + 3. Let x be (-74)/185*10/((-4)/2). Let f(a) = -7*a**3 - 3*a**2 + a + 5. Let h(j) = 3*j**3 + j**2 - 2. Calculate r*h(t) + x*f(t).
t**3 - t**2 + 2*t
Let t(l) = l**2 - 6*l - 6. Let m(q) = 2*q**2 - 7*q - 7. Determine -6*m(n) + 7*t(n).
-5*n**2
Let t(y) = 14*y - 5. Let u(k) = -13*k + 4. What is -2*t(c) - 3*u(c)?
11*c - 2
Suppose -58 = 5*n + 4*z, 5*n = -3*z + z - 54. Let h(m) = 3*m - 2. Let c(k) = -2*k + 1. Give n*c(g) - 6*h(g).
2*g + 2
Let d(k) = k**2 + 5*k. Suppose -3*t - 6 = 0, 5*m + 2*t - 2 - 4 = 0. Let h(n) = 4*n**m + 4*n + n - n - 3*n**2. Calculate -4*d(f) + 5*h(f).
f**2
Let t(h) = -23*h**3 + 5*h - 5. Let i(g) = 11*g**3 - 3*g + 3. Give 5*i(k) + 3*t(k).
-14*k**3
Let w = -3 + 12. Let u(q) = -q**2 + q - 2*q + 5*q. Let v(j) = 2*j**2 - 9*j. What is w*u(g) + 4*v(g)?
-g**2
Let v(i) be the second derivative of i**4/2 - i**3 - 3*i. Let j(k) be the second derivative of k**4/3 - 2*k**3/3 - 2*k. Determine -8*j(h) + 5*v(h).
-2*h**2 + 2*h
Let y(m) = 9*m + 2 - 3*m + 5*m. Let o(w) = 11*w + 1. Let t(g) = -g. Let h(l) = o(l) + 4*t(l). Suppose -3*i + i = -10, -2*k = -i + 15. Give k*y(a) + 8*h(a).
a - 2
Let z(h) = 11*h + 5. Suppose 2*m + 45 = 4*q + 7*m, -5*q + 45 = 4*m. Let v(b) = -5*b - 2. Calculate q*v(p) + 2*z(p).
-3*p
Let j(l) = l + 5. Let i = 7 + -6. Let t = 9 + -5. Let k(h) = -4*h - h - 1 + t*h. Determine i*j(c) + 3*k(c).
-2*c + 2
Suppose -2 - 8 = k + 4*j, -4*k = 4*j - 20. Let w(o) = 5*o + 8. Let u(x) = x + 1. Let r(v) = -6*u(v) + 2*w(v). Let c(f) = f + 1 - 1 + 3. Give k*c(z) - 3*r(z).
-2*z
Let q(p) = -p. Let g(f) = -2*f**2 + 2*f + 3. Calculate g(c) - 3*q(c).
-2*c**2 + 5*c + 3
Let u(q) = -7*q**2 + 7. Let l(z) = 6*z**2 - 7. Calculate -4*l(v) - 3*u(v).
-3*v**2 + 7
Let n(o) = 24*o**3 - 5*o**2 + 7*o. Let k(w) = 12*w**3 - 2*w**2 + 3*w. Determine 5*k(d) - 2*n(d).
12*d**3 + d
Let b = -2 - -3. Let m(p) = p + 1. Let u(c) be the second derivative of 0 - 7/2*c**2 + 5*c - 7/6*c**3. Calculate b*u(r) + 6*m(r).
-r - 1
Let z(q) = 13*q**2 + 4*q. Let d(i) = -7*i**2 - 2*i. What is -5*d(k) - 2*z(k)?
9*k**2 + 2*k
Let n(y) = 4*y - 6. Let k(u) = 9*u - 11. Calculate 2*k(p) - 5*n(p).
-2*p + 8
Let j(o) = -2*o**3 + 4*o + 1. Let h(b) = -b - 1. Give -h(w) - j(w).
2*w**3 - 3*w
Let o(r) = 2*r + 5. Let x = 7 - 4. Let d(v) = 0*v - x + 5 + v. Let m(s) = -6*s - 23. Let w be m(-5). What is w*d(f) - 3*o(f)?
f - 1
Let c(u) = u. Let m(o) = 2*o + 1. What is 3*c(l) - m(l)?
l - 1
Let v(f) = 4*f**2 + 2*f + 4. Let z(r) = -3*r**2 - 2*r - 4. Determine 2*v(g) + 3*z(g).
-g**2 - 2*g - 4
Let j(f) = f**2 - f + 5. Let h(p) = p**2 - 2*p + 6. Give 6*h(c) - 7*j(c).
-c**2 - 5*c + 1
Let c(d) = 2*d + 4. Let k(t) = -5*t - 12. Let z(s) = -8*c(s) - 3*k(s). Let j(y) = -2*y + 5. Calculate 2*j(x) - 3*z(x).
-x - 2
Let u(j) be the first derivative of j**4/2 + 5*j**3/3 + 8*j + 1. Let m(g) = -g**3 - 2*g**2 - 3. Let v = 41 + -38. Determine v*u(h) + 8*m(h).
-2*h**3 - h**2
Let a(v) = -4*v**2 - 2. Let s(j) = 5*j**2 - j + 1. Determine -3*a(z) - 2*s(z).
2*z**2 + 2*z + 4
Let j(l) = 2*l**3 + 8*l**2 + 7*l - 5. Let i(c) = -c**2 - c + 1. Calculate 6*i(g) + j(g).
2*g**3 + 2*g**2 + g + 1
Let q(u) = 2 + 4 - 7. Let y(t) = 3*t + 18. What is 18*q(w) + y(w)?
3*w
Let k(i) = 5*i**3 - i**2 + 4*i + 2. Let q(j) = -4*j**3 + j**2 - 3*j - 1. Calculate -2*k(t) - 3*q(t).
2*t**3 - t**2 + t - 1
Let f(p) = 5*p**3 - 8*p**2 + 4*p. Let r(z) = 4*z**3 - 7*z**2 + 3*z. What is -3*f(s) + 4*r(s)?
s**3 - 4*s**2
Let k(m) be the third derivative of -13*m**4/24 + 13*m**3/6 + 177*m**2. Let v(g) be the second derivative of -g**3/2 + 3*g**2/2 - g. Give 4*k(w) - 18*v(w).
2*w - 2
Let z = -85 + 90. Let r(b) be the third derivative of b**5/10 + b**4/6 - 2*b**3/3 - b**2. Let x(g) = -5*g**2 - 3*g + 3. Give z*x(c) + 4*r(c).
-c**2 + c - 1
Let h(r) = 2*r - 5. Let c(i) = 3*i - 9. Give 6*c(d) - 11*h(d).
-4*d + 1
Let l(n) = 7*n**2 - 2*n + 1. Let v(g) = -g - 3. Let y be v(0). Let b = 4 + y. Let t(u) = -u**2 - b + 1. What is l(m) + 5*t(m)?
2*m**2 - 2*m + 1
Let y(j) = -j + 1. Let b(v) = -2*v + 4. Suppose 76 + 38 = -19*k. What is k*y(m) + b(m)?
4*m - 2
Let o(b) = b. Let f(w) = 2*w - 1. Let l(y) = -6*y + 3. Let i(m) = 11*f(m) + 4*l(m). Give -i(k) - 5*o(k).
-3*k - 1
Let s(f) = 4*f**3 + 10*f**2 - 9*f - 4. Let c(l) = -2*l**3 - 5*l**2 + 4*l + 2. Let r(v) = -2*v + 3. Let t be r(-3). What is t*c(b) + 4*s(b)?
-2*b**3 - 5*b**2 + 2
Let f(k) = -2*k**2 + 3*k + 4. Let t(o) = -6*o**2 + 10*o + 11. Give -8*f(c) + 3*t(c).
-2*c**2 + 6*c + 1
Let b(p) = 2*p**2 + 5*p - 7. Let h(y) = 3*y**2 + 7*y - 10. Let o(r) = -7*b(r) + 5*h(r). Let z be -1 + 2 + (-1 - -2). Let l(v) = -v**2 + 1. Give z*o(s) + 3*l(s).
-s**2 + 1
Let n(g) = 2*g + 4. Suppose -28 = -5*m + 37. Let p(a) = -5*a + 7 - 5 - m. Give -11*n(r) - 4*p(r).
-2*r
Let k(c) = 6*c**3 + 4*c**2 - 6*c + 5. Let y(g) = 11*g**3 + 7*g**2 - 11*g + 9. What is -7*k(w) + 4*y(w)?
2*w**3 - 2*w + 1
Let t(g) = -6*g - 1. Let l = 10 - 14. Let y(q) = -27*q - 2. Let k(a) = -13*a - 1. Let d(p) = 13*k(p) - 6*y(p). What is l*d(i) + 5*t(i)?
-2*i - 1
Let m(t) = 0*t**2 - 5*t**2 + 5 + 4*t**2. Let q(j) = 3*j**2 + 4*j + 6. Let g(f) = 4*f**2 + 5*f + 6. Let y(r) = 4*g(r) - 5*q(r). What is -4*m(n) - 3*y(n)?
n**2 - 2
Let r(m) = -5*m + 3. Let h(y) = 5*y - 2. Suppose -n + 4*f = -22, 2*n + 2*f + f = -11. Determine n*r(w) + 3*h(w).
5*w
Let l(d) be the first derivative of -2*d**3/3 - 3*d**2 - 1. Let t be (-2)/(-6) + (-46)/(-6). Let b = -7 + t. Let y(j) = -j. Give b*l(o) - 5*y(o).
-2*o**2 - o
Let h(j) = 2*j + 11. Let v(l) = -8*l - 43. Calculate -9*h(q) - 2*v(q).
-2*q - 13
Let c(u) = -u**2 - u - 1. Let t(s) = -5*s**2 + 2*s - 1. Give 3*c(n) - t(n).
2*n**2 - 5*n - 2
Let v(u) be the first derivative of u**3/3 + 9*u**2/2 + 3*u + 11. Let p(h) = -h**2 - 13*h - 4. What is -5*p(b) - 7*v(b)?
-2*b**2 + 2*b - 1
Let r(k) be the third derivative of 3*k**5/20 + 5*k**3/6 + k**2. Let j(b) = -b**2 - 12*b - 13. Let w be j(-11). Let h(v) = 4*v**2 + 2. Give w*r(i) + 5*h(i).
2*i**2
Let g(p) = -p**2 - p. Let t(s) = -11*s + 2*s**2 + 0*s**2 + 16*s. Give -3*g(j) - t(j).
j**2 - 2*j
Let u(x) be the third derivative of -7*x**6/120 - 5*x**4/24 + 10*x**2. Suppose 4*j - 20 = -0*j. Let c(q) = 3*q**3 + 2*q. Give j*c(o) + 2*u(o).
o**3
Let w be (2 + 32/(-6))*9/(-5). Let z(v) = -17*v**2 + 17*v - 15. Let k(i) = -3*i - 2*i + 8*i**2 - 3*i + 7. Calculate w*z(o) + 13*k(o).
2*o**2 - 2*o + 1
Let a(i) = i**3 - i + 4. Let j be a(0). Suppose -5*r - 13 + 3 = 0. Let x(y) = -8 + 3*y + 2 + 3. Let h(q) = q - 1. Give j*h(z) + r*x(z).
-2*z + 2
Let f(y) = 3*y**2 + 5*y - 5. Let o(t) = -3 + 5*t + 3*t**2 - 2*t**2 + 2. Let x be o(-4). Let p(v) = -v**2 - 2*v + 2. Give x*p(d) - 2*f(d).
-d**2
Let p be -6 - 7/((-7)/2). Let d(k) = -1. Let j(g) = -g - 1. Give p*d(a) + 2*j(a).
-2*a + 2
Let h(z) = -z - 3. Let q(l) = l + 2. Calculate 4*h(a) + 5*q(a).
a - 2
Let t(k) = 3*k + 3. Let c be t(5). Let h = 13 - c. Let j = 6 + h. Let u(p) = p**2 - p. Let v(r) = 4*r**2 - 3*r + 1. Determine j*v(x) - 2*u(x).
2*x**2 - x + 1
Let b(d) = d**3 + 4*d + 7. Let n(c) = c**3 + 3*c + 6. Calculate -5*b(f) + 6*n(f).
f**3 - 2*f + 1
Let r(z) = -10*z**2 - 3*z - 3. Let d(y) = -21*y**2 - 7*y - 7. What is 6*d(l) - 14*r(l)?
14*l**2
Let y(r) = -125*r. Let j(a) = 9*a. Let p(b) = 85*j(b) + 6*y(b). Let o(u) = -7*u. Give -13*o(w) - 6*p(w).
w
Let k(h) = -13*h**2 - 7*h - 3. Let x(o) = 12*o**2 + 7*o + 2. Let p(a) = -5*k(a) - 6*x(a). Let n(r) = -3*r**2 - 3*r + 1. Give 5*n(j) - 2*p(j).
-j**2 - j - 1
Let u(p) = 11*p. Let g(k) = -12*k. Calculate -3*g(i) - 2*u(i).
14*i
Let s(d) = -3*d - 9. Let t(r) be the first derivative of -2*r**2 - 13*r + 1. Give -7*s(c) + 5*t(c).
c - 2
Let n(r) = -13*r**3 - 7*r**2 - 7*r. Let k(w) = -w**3 - w. Let j(o) = 4*k(o) - n(o). Let i(m) = -5*m**3 - 4*m**2 - 2*m. Give 7*i(p) + 4*j(p).
p**3 - 2*p
Let y(i) = -6*i - 8. Let q(c) = 0*c - 5 + 5 + 1 + c. Give -14*q(x) - 2*y(x).
-2*x + 2
Let f(h) = -2*h + 73 + h - h**3 - 72. Let p(r) = -5*r**3 - 2*r**2 - 7*r + 4. Calculate 4*f(s) - p(s).
s**3 + 2*s**2 + 3*s
Let j(u) = -8*u. Let o(f) = -3*f. Determine 4*j(v) - 11*o(v).
v
Let i(b) = -9*b - 7. Let h = -8 + -3. Let w = -6 - h. Let r(z) = 5*z + 4. Determine w*r(s) + 3*i(s).
-2*s - 1
Let r(d) = 1. Let q(c) = -c + 9. Determine -2*q(g) + 18*r(g).
2*g
Let c(s) = s**3 - 2*s**2 - 4*s + 2. Let j(l) be the first derivative of -2*l**3/3 - 3*l**2/2 + l + 19. Give -3*c(v) + 4*j(v).
-3*v**3 - 2*v* | {
"pile_set_name": "DM Mathematics"
} |
t + 1. What is a(r)?
3
Let a be 3*5/(-75) + (-4)/5. Let u(n) = 4*n**3 - n. Determine u(a).
-3
Suppose 2*z = -s - 11, 6*z + 17 = z + s. Let r(f) be the third derivative of -1/30*f**5 - 7/24*f**4 + 0 - f**3 + f**2 + 0*f. Determine r(z).
-10
Let a(u) = -u**3 - 9*u**2 + 23*u + 14. Let p be a(-11). Let m(q) be the first derivative of 1/3*q**p + 3 + 1/2*q**2 + q - 1/4*q**4. What is m(-1)?
2
Let s(r) = r**3 - 4*r**2 + 5*r - 2. Let x be s(3). Let l(c) = c - 1. Let v(p) = p. Let o(a) = -l(a) - v(a). Give o(x).
-7
Let j(k) = 2*k + 16. Let m be j(-8). Let n(f) = -7 - f - f**2 - 6*f + 0*f + m. What is n(-6)?
-1
Suppose 0 = -2*x + 4 + 2. Let b(g) = g**3 - 43*g**2 + 5*g - 3 - 4*g + 39*g**2. Calculate b(x).
-9
Let n(k) be the second derivative of -k**5/12 - 3*k**2/2 + 2*k. Let x(j) be the first derivative of n(j). What is x(-1)?
-5
Let a(u) = -4*u - 2. Let i(t) = 8*t + 5. Let q(b) = -9*a(b) - 4*i(b). Give q(-3).
-14
Let y be (4/6)/(6/45). Let a(s) be the third derivative of -s**3 + 3*s**2 + 0 + 1/12*s**4 + 0*s. Determine a(y).
4
Let z = 11 + -15. Let b(w) = w**2 - 1. Let x(i) = -6*i**2 + 2*i + 7. Let o(p) = -5*b(p) - x(p). Let f(a) be the first derivative of o(a). Determine f(z).
-10
Let o = 26 - 48. Let u be (-4)/22 - 114/o. Let n(c) = 0*c + c**2 - 4*c + c - 4. Determine n(u).
6
Let c(k) = -k - 1. Let w be 152/(-36) - 4/(-18). What is c(w)?
3
Let t(v) = 2*v**2 - 6*v - 4. Let y(w) = -w**2 + 3*w + 2. Let o(s) = -6*t(s) - 11*y(s). Let b = -120 - -124. Give o(b).
-2
Suppose -3*x = -0*x + 9. Let q(j) = -j - 5. Determine q(x).
-2
Let w(j) = -j**3 + j**2 + 4*j - 1. Let n = -4 + 6. Suppose 0 = -n*r - 0*r - 2. Let l = 4 + r. Calculate w(l).
-7
Let s(q) be the third derivative of q**4/24 + q**3/2 - 28*q**2. Determine s(3).
6
Let q(x) = -x**2 - 8*x. Suppose -7*w = -2*s - 3*w - 22, 79 = -5*s - 2*w. Let n be -4 + (-5)/(s/(-9)). Determine q(n).
7
Let s(v) = v**3 - 3*v**2 - 4*v - 3. Suppose 0 = 3*r - 5*t + 21, -4 = 3*r - t + 5. Give s(r).
-15
Let a(d) = d**3 - 7*d**2 + 8*d - 7. Let z be a(6). Let n = -2 + z. Let o(m) = -1 + m - m**2 + 0*m + m**n + 0*m**2. What is o(2)?
5
Let l(r) = -6*r**2 + r + 0*r - 1 - 5*r**2 + 7 - r**3. Determine l(-11).
-5
Let h(w) = w**2 - 2*w - 1. Suppose -2*j - 6 = 4*u + 4, 0 = u + j. Let v(l) = -l**3 - 5*l**2 - 2*l - 7. Let a be v(u). Determine h(a).
2
Let z(p) = -p + 4. Let r(d) = 2*d**2 - 24*d + 26. Let o be r(11). Give z(o).
0
Let l be 6*3/((-18)/4). Let h(j) = 2 - 3 + 0*j - 2*j + j. Calculate h(l).
3
Suppose 1 - 6 = -5*j. Let f be j/(-3)*-2*3. Let n(v) = -3*v**3 - 2 - 7*v**2 - 8*v**3 + 2*v + 12*v**3 + 4*v**2. What is n(f)?
-2
Let v(h) be the first derivative of h**7/840 + h**6/72 + h**5/30 - h**4/24 - 2*h**3/3 + 3. Let c(a) be the third derivative of v(a). Give c(-4).
-1
Let x(o) = -o + 1. Suppose -3*q - 4 = -1. Let a be q/2 - 60/(-8). Suppose -5*u + 32 = -r, -14 = -4*u + 2*r - a*r. Calculate x(u).
-5
Let x(z) be the third derivative of -z**6/360 - z**5/40 - z**4/8 + z**3/6 + 4*z**2. Let k(o) be the first derivative of x(o). Give k(-3).
-3
Let p(k) = 4*k - 1. Let f be 13/4 + 2/(-8). Suppose 2*x = -h, -3*x + 2*h - f*h = -1. Determine p(x).
3
Let b(q) = 2*q**2 - 4*q + 4. Let y be (-30 - -27) + 2*3. Calculate b(y).
10
Let v be (0 + (-4)/3)*3. Let o(i) = i**3 + 4*i**2 - 2*i. Determine o(v).
8
Suppose 0 = -o + 4. Let y(w) = w**2 - 4*w + 8. Let b(g) = -g - 1. Let m(h) = -3*b(h) - y(h). Calculate m(o).
7
Let h be 8/(-6) - (-26)/6. Suppose 4*q - 3*n - 11 = 2*n, -3*q + h*n + 9 = 0. Let d(w) be the second derivative of -w**3/3 + 3*w**2 - w. Calculate d(q).
-2
Let t(k) = -2*k**2 + 5*k - 3. Let q(a) = -13*a - 1. Let m be q(-1). Let p = 15 - m. Calculate t(p).
-6
Let k(l) = l + 1. Let w be k(1). Let f be -1*(w - 1/(-1)). Let y = f + -1. Let x(z) = z**3 + 3*z**2 - 6*z - 5. Determine x(y).
3
Let b(x) = -x**2 + 3 - 5 - 2. Suppose 0 = 3*q - q. Suppose a = -q*a. Give b(a).
-4
Let q(g) be the third derivative of -g**6/120 + g**5/10 - g**4/6 - 2*g**3/3 + 3*g**2. Let r be q(4). Suppose 5*d = d + r. Let x(a) = a**2 - 5*a + 4. Give x(d).
-2
Suppose 0 = -5*j + 3*p + 12, -j + 4*p = 5*p + 4. Let t(m) = 5*m + j*m**2 + m**2 + m**2 - m**2 - 1. What is t(-4)?
-5
Let d(m) be the third derivative of m**6/40 - m**5/30 - m**4/8 + m**3/3 + 6*m**2. Give d(2).
12
Let k(p) = -p + 0*p**3 + 2*p**3 - 1 - p**3. Let g = -151 + 150. What is k(g)?
-1
Suppose 4*i = -1 + 21, -5*u + 15 = i. Let q(m) = 2*m**2 + 7*m - 5. Let l(j) = 2*j**2 + 8*j - 6. Let b(r) = -4*l(r) + 5*q(r). Give b(u).
13
Suppose 0 = 6*w - w + 4*s + 19, 2*s + 2 = 0. Let u(q) = 4 + 3*q - 3*q + 3*q. What is u(w)?
-5
Let q be (-2 + 2)/(-3)*-1. Let g(h) = 1 - 2*h - 1 + q. Determine g(-5).
10
Let h(m) = -m**3 - 49*m + 89*m - 40*m - 9*m**2. Give h(-9).
0
Suppose 0 = q + 2 + 1. Let o(t) = -t - 1. Let g be o(q). Let f(b) = -1 + b**3 + b - 2 - 4*b + 3*b**g. Give f(-4).
-7
Let d(w) = -w**3 + 2*w**2 + 2*w. Suppose 6 = 3*l - l. Suppose l*v + 10 - 1 = 0. Let z be 2*v/3 - -5. What is d(z)?
-3
Let y(v) = -v**3 + v**2 + v - 6. Suppose -3*d = -2*d - 5*p, p = 4*d. Give y(d).
-6
Let o be (-6)/10*(3 - 8). Let q(p) = -6*p + 26. Let y(r) = 2*r - 9. Let a(k) = k. Let m be a(8). Let w(t) = m*y(t) + o*q(t). Calculate w(5).
-4
Let x(d) = -d - 5*d**2 + 5 + d**3 - 6*d + 0*d**3. Calculate x(6).
-1
Suppose 36*f - 37*f - 4 = 0. Let z(b) = -5*b + b + 3*b + 1. What is z(f)?
5
Suppose -2*l + 0*l + 12 = 0. Suppose -5*s - l*y = -4*y - 4, 3*y + 9 = 0. Let h(f) = -3 - 4*f + 9*f - f. Calculate h(s).
5
Let f(b) = 4*b + 7. Let h(c) = 5*c + 8. Let i(x) = -4*f(x) + 3*h(x). Determine i(-5).
1
Let o(n) = -2*n + 4*n**2 - 1 + n**3 - n**2 - 2*n**3. Suppose 0 = 5*z + 3*b - 24, -5*z - 2*b + 31 = 10. Give o(z).
-7
Let f(o) = -o**2 + 7*o - 5. Suppose -4*w + 3*w + 4*z = -7, -3*z = -5*w + 18. Suppose 0*p = -5*p - y + 55, 3*p - 21 = -w*y. Let j = p + -6. Determine f(j).
1
Suppose 0 = -i + y - 4, 0 = -2*i - 0*y + 5*y - 5. Let x(o) = -o**2 - 9*o - 1. What is x(i)?
19
Let g(d) = -5*d**2 + 13 + d**3 - 6 + 0*d**3 - 7*d. Suppose -24 = -3*u + 3*w - 0*w, -u - 4*w = 2. What is g(u)?
1
Suppose -35*n = -40*n - 15. Let j(z) = -2*z**2 - 4*z. Determine j(n).
-6
Let r(b) = -b**2 + 5*b - 2. Suppose z = -2*a + 15, z = 3*a - 1 - 9. What is r(a)?
-2
Suppose 3*g = 5 - 11. Let t(r) = 3 - 4*r**2 - 3 - 2 - 3*r. Give t(g).
-12
Let k(u) = -u**3 + 3*u**2 - 2*u + 1. Let p be 2/4*(11 + -7). Give k(p).
1
Let t(v) = v**3 + v**2 + 1. Let a(h) = 3*h**3 + 5*h**2 + 4*h + 5. Let f(z) = -a(z) + 4*t(z). Give f(3).
5
Let k = 2 - 3. Suppose 1 = c - 2. Let t(j) = 0*j + j - 2*j**2 - c*j - 1. Give t(k).
-1
Let q(t) = -6 - 10*t - t**3 - 4*t**2 - 3 + 0 - 5*t**2. Calculate q(-8).
7
Let c(n) = 9*n**2 + n + 3. Let m(s) = 18*s**2 + 2*s + 5. Let y(h) = 7*c(h) - 4*m(h). Determine y(1).
-9
Let x(y) = -9*y**2 - 3*y. Let b(r) = 26*r**2 + 8*r. Let v(s) = 4*b(s) + 11*x(s). Give v(-1).
6
Let g(u) = u - 1. Let f = 28 - 4. Suppose t + 7 = c, -4*c - t + f = -4*t. Determine g(c).
2
Let t = 3 - 1. Let x(b) = -3*b**2 + 2*b. Let g(f) = -3*f**2 + 2*f - 1. Let y(w) = -2*g(w) + 3*x(w). Calculate y(t).
-6
Let a(m) = m - 1. Let y = -13 - -23. Suppose y + 0 = -2*n. Determine a(n).
-6
Let u(y) = 8*y + 1. Let r = 8 + -5. Suppose 3*j + r = -0*j. Determine u(j).
-7
Let n(c) be the third derivative of c**4/6 - c**3/2 - 51*c**2. Give n(2).
5
Let u(g) = g**2 - g. Let b(o) = -o**3 - 4*o**2 - 7*o - 2. Let p(q) = -b(q) + 2*u(q). Calculate p(-5).
2
Let g be (2 + -1)*(-1 - -3). Let u(f) be the second derivative of f**4/6 - f**3/2 + f**2 - 2*f. Determine u(g).
4
Let k = 8 - 5. Let o(s) be the first derivative of -k*s - s**2 + 1/4*s**4 - 2 + 2/3*s**3. Give o(-3).
-6
Let x = 4 - 9. Let s(h) = -8*h - 13. Let o(k) = -k - 1. Let p(l) = 6*o(l) - s(l). What is p(x)?
-3
Suppose -17*j + 19*j = 0. Let a(v) = -v**2 - 4. What is a(j)?
-4
Let l(d) = d**3 + 4*d**2 - 5*d + 1. Let j be l(-5). Let h(u) = 23*u**3 + u**2. What is h(j)?
24
Let f(v) be the second derivative of -v**4/12 - 2*v**3/3 - v**2/2 - 21*v. Give f(-5).
-6
Let i(b) be the first derivative of b**3 + b**2/2 - b - 2. Let w = 6 - 5. Let y be i(w). Let x(s) = -3*s + 2. Give x(y).
-7
Let l(f) = 2*f**3 - 4*f**2 + 4*f - 3. Suppose 4*a + 39 = -4*d + 7, -3*a + 3*d = 48. Let b be ((-3)/1)/(18/a). Calculate l(b).
5
Let l be 25/8 - (-7)/(-56). Let s(g) be the third derivative of 5/6*g**3 + 1/120*g**6 + 0 + 0*g + | {
"pile_set_name": "DM Mathematics"
} |
288*n**2
What is the second derivative of 32737*o**3 - o**2 + 3*o + 2224 wrt o?
196422*o - 2
Find the second derivative of -14448*k**4*s - 18*k**4 - k*s + 3*k - 134 wrt k.
-173376*k**2*s - 216*k**2
What is the second derivative of 819908*a**2*v**3 + 858776*a*v**3 + a*v wrt a?
1639816*v**3
Differentiate 1507*r**4 - 355*r**2 - 139180 wrt r.
6028*r**3 - 710*r
Find the second derivative of -29581*l**2 - 511*l - 27 wrt l.
-59162
Find the first derivative of -230067*a - 58681 wrt a.
-230067
What is the third derivative of -1606*f**5 + 37*f**4 - 18*f**2 - 3345 wrt f?
-96360*f**2 + 888*f
Differentiate 272344*b**4 + 177710.
1089376*b**3
What is the derivative of -j**2 - 319286*j + 516566?
-2*j - 319286
Differentiate 65*n**3*v**3 + 443*n**3*v**2 - v**3 - 17271*v**2 with respect to n.
195*n**2*v**3 + 1329*n**2*v**2
Find the first derivative of -3701553*p - 3808441 wrt p.
-3701553
What is the first derivative of 5376*n**2 - 12373 wrt n?
10752*n
What is the third derivative of -4*t**4*z**2 - 1339*t**4*z + 38*t**4 + 34*t**2*z**2 + 6*t**2 - 3*t*z**2 + 47*z**2 - 1 wrt t?
-96*t*z**2 - 32136*t*z + 912*t
Find the second derivative of -228493*y**2 - 2*y - 84665 wrt y.
-456986
What is the third derivative of -86*a**4 + 497*a**3*g - 8*a**2*g - 567*a**2 + 4*g wrt a?
-2064*a + 2982*g
What is the third derivative of -68*b**4 + 633*b**3 + 1778*b**2 - 7?
-1632*b + 3798
Find the first derivative of -1566733*r - 3451390.
-1566733
What is the first derivative of 37569*i**2*k**2 + i*k**3 + 22882*k**3 wrt i?
75138*i*k**2 + k**3
What is the second derivative of -6*z**5 - 89*z**4 + 52*z**2 - 4*z - 63605?
-120*z**3 - 1068*z**2 + 104
Find the third derivative of 202089*j**3 + 279416*j**2 wrt j.
1212534
What is the derivative of -8*h**3 + 3905*h**2 - 3*h + 39762?
-24*h**2 + 7810*h - 3
Differentiate 6*y**3*z**2 - 178*y*z**3 - 43830*z**3 wrt y.
18*y**2*z**2 - 178*z**3
Differentiate 108*d**2 - 2*d - 66284.
216*d - 2
Find the second derivative of 95598*q**2 - 114571*q wrt q.
191196
Differentiate -124673*j + 97407 wrt j.
-124673
What is the second derivative of z**5 - 120413*z**4 + 2370825*z?
20*z**3 - 1444956*z**2
Find the second derivative of 22*q**2*r**2 + 1285*q**2*r - 3*q**2 + 2*q*r**2 - 19*q - 645*r**2 - r wrt q.
44*r**2 + 2570*r - 6
What is the second derivative of 48142*w**5 + 2*w - 45482 wrt w?
962840*w**3
What is the third derivative of -42402*c**4 - 84*c**2 + 286?
-1017648*c
Find the third derivative of 36750*m**5 - 63*m**2 + 1884*m wrt m.
2205000*m**2
What is the first derivative of -5*l**2 + 29900*l + 44505?
-10*l + 29900
Find the second derivative of -260*g**5 + 4*g**3 + 15*g**2 - 71*g - 556.
-5200*g**3 + 24*g + 30
Find the first derivative of 369862*h**2*r**3 - 43405*h**2 wrt r.
1109586*h**2*r**2
What is the second derivative of -86*l**2*x**3*z + 7*l**2*x**3 + 15*l**2*z - l*x**3 + 5*l*x + 8*l*z + 3 wrt l?
-172*x**3*z + 14*x**3 + 30*z
Find the third derivative of 142357*g**3*r**2*y - 2*g**3*r**2 - 5*g**2*r**2 - 5*g**2*r + 226*r*y + 3*r wrt g.
854142*r**2*y - 12*r**2
What is the third derivative of 797149*v**5 + 3248*v**2?
47828940*v**2
What is the third derivative of -2455*y**4 - 513*y**3 + 18*y**2 - 93917*y wrt y?
-58920*y - 3078
What is the third derivative of -62317*m**4 + 2*m**3 - 24*m**2 - 173*m + 5 wrt m?
-1495608*m + 12
What is the third derivative of 593*n**2*q*w**2 + 66253*n**2*w**3 - n**2*w - 3*n*q**2*w**3 + 3*n*q**2 - 2*w**2 + 20 wrt w?
397518*n**2 - 18*n*q**2
Find the second derivative of 33*f**5 + 45*f**4*t**2 - 9*f*t - 9*f + 2*t**2 - 2*t wrt f.
660*f**3 + 540*f**2*t**2
Find the second derivative of -1639*h**3*t - 478*h**2*t**3 + 5*h*t**3 - 3*h - 16770 wrt h.
-9834*h*t - 956*t**3
Find the first derivative of u**4 + 87*u**3 - 96*u - 19219.
4*u**3 + 261*u**2 - 96
Find the third derivative of -3*i**2*q**4 - 5*i**2*q + 10*i**2 - 2*i*q**2 + 588*q**4 + 19*q wrt q.
-72*i**2*q + 14112*q
Find the third derivative of -135391*g**3 - 213888*g**2.
-812346
Find the third derivative of 554043*o**4 + o**3 + o**2 + o + 3269 wrt o.
13297032*o + 6
What is the first derivative of 2200*n**2*s - 424*n**2 - 52711*s wrt n?
4400*n*s - 848*n
Find the third derivative of -1300*s**6 - 6*s**5 - 2*s**3 - 5351*s**2.
-156000*s**3 - 360*s**2 - 12
Find the third derivative of 7128880*l**3 + 6346337*l**2.
42773280
Differentiate 7*i**3*n*r*w - i**3*r*w + i**2*w**2 + 10*i*w**2 - i*w + 4574*n*r*w**2 + 239*r*w**2 wrt n.
7*i**3*r*w + 4574*r*w**2
Find the second derivative of 113979*f**2*v**4 + 1764*f**2*v - f wrt v.
1367748*f**2*v**2
Differentiate 39*b**3 + 291*b**2 - 2*b + 200491 wrt b.
117*b**2 + 582*b - 2
Find the first derivative of 1466604*d*q**3 + 7319*q**3 - 22*q**2 wrt d.
1466604*q**3
Find the third derivative of 12674*w**5 + 2*w**3 + 16*w**2 + 3117.
760440*w**2 + 12
Find the second derivative of 628*k**3 + 104*k**2 - 174350*k wrt k.
3768*k + 208
What is the third derivative of -582*d**5 - 44*d**4 + 3*d**3 + 2*d**2 + 18*d - 2560?
-34920*d**2 - 1056*d + 18
What is the first derivative of 6*v**3 - 13179*v**2 + 148137 wrt v?
18*v**2 - 26358*v
What is the first derivative of -33584*f - 36322 wrt f?
-33584
What is the third derivative of -541235*z**5 - 20960*z**2 - 7*z wrt z?
-32474100*z**2
What is the derivative of 6380*g**3*q - 111*g**3 + 679*g**2 - 2*g*q - 25*q wrt q?
6380*g**3 - 2*g - 25
Differentiate -4668133*w + 1800263 with respect to w.
-4668133
Find the third derivative of -25*y**5 + 11298*y**3 - 15891*y**2 + 21*y + 2.
-1500*y**2 + 67788
What is the third derivative of -653356*j**3 + 2*j**2 + 18153*j + 1 wrt j?
-3920136
Find the first derivative of a**2*o**2 - 2*a**2 + 2*a*o**2 + 19*a + 10*o**2 - 2*o - 1225 wrt a.
2*a*o**2 - 4*a + 2*o**2 + 19
What is the second derivative of 24890*s**4 + 72380*s?
298680*s**2
What is the third derivative of 719114*c**4 + 45416*c**2 + 8?
17258736*c
What is the derivative of -d**2 + 10020*d + 32847?
-2*d + 10020
Find the first derivative of -476659*g**4 + 450000 wrt g.
-1906636*g**3
Find the third derivative of 533364*r**6 - r**2 + 978*r - 9.
64003680*r**3
Find the third derivative of -94778*g**3*n**3 + 7557*g**2*n**2 + 11*g*n**3 wrt g.
-568668*n**3
Find the second derivative of 13675*k**2 - 75118*k.
27350
What is the second derivative of 2*l*p**2*s + 1709*l*p**2 - 70*l*p + 7*p**2 + p*s - 307*p wrt p?
4*l*s + 3418*l + 14
What is the derivative of 61*i**2*m**2 + 652065*i**2 + 16*i*m**2 - 3*m**2 + 14*m wrt m?
122*i**2*m + 32*i*m - 6*m + 14
Find the second derivative of 2*b**2*g**3 - 1523793*b**2*g**2 + b**2*g - 2*b**2 + 123002*b*g + g wrt g.
12*b**2*g - 3047586*b**2
What is the second derivative of -46597*q**2 + 17*q - 47 wrt q?
-93194
What is the third derivative of 3411*w**4 + 2*w**3 + 19861*w**2 + 5 wrt w?
81864*w + 12
Find the first derivative of -731*d*m - 6*d - 16022*m wrt d.
-731*m - 6
What is the third derivative of 80985*c**4 - 707*c**2 - 14*c wrt c?
1943640*c
Find the second derivative of 56*p**3*r**4 + 261*p**3*r + 56*p**3 + 73*p*r**4 + r wrt r.
672*p**3*r**2 + 876*p*r**2
What is the third derivative of -186*q**6*v - 52*q**6 + 2*q**3 - 4*q**2*v - q**2 + 15*q*v + 78*v wrt q?
-22320*q**3*v - 6240*q**3 + 12
What is the second derivative of -c**4 - 10*c**3 + 1717*c**2 + 50236*c wrt c?
-12*c**2 - 60*c + 3434
What is the third derivative of -528322*b**5 + b**2 + 307749*b + 2?
-31699320*b**2
What is the derivative of 621672*m + 228172?
621672
Find the third derivative of 415*r*t**3 - 541*r*t - 2*r - 8*t**5 + t**2 - 3*t wrt t.
2490*r - 480*t**2
Find the second derivative of 434044*d**4 + 138184*d.
5208528*d**2
Differentiate 804340*n**2 - 588048 with respect to n.
1608680*n
What is the second derivative of 3*b**3*p**3 + 22452*b**3*p - 3*b*p**3 - 6*b*p**2 - 3*p**2 + 357 wrt b?
18*b*p**3 + 134712*b*p
What is the first derivative of -819*b**3 + 310*b**2 + 92761 wrt b?
-2457*b**2 + 620*b
What is the derivative of 3*q**2*z + 20822*q**2 + 90613*q*z**4 - 34 wrt z?
3*q**2 + 362452*q*z**3
Find the second derivative of -23*s**3*u**2 - s**3*u - 55*s**3 + s**2*u**2 - 2*s**2*u + 2*s**2 - 34*s*u**5 wrt u.
-46*s**3 + 2*s**2 - 680*s*u**3
What is the third derivative of 1660693*a**4*l**2 - 7*a**2*l**2 - 300*a**2*l - l**2 - 13*l + 3 wrt a?
39856632*a*l**2
Find the second derivative of 641*c**5*k**2 + 27*c**2*k**2 + c*k**2 + 10723*c + k**2 + 2*k wrt c.
12820*c**3*k**2 | {
"pile_set_name": "DM Mathematics"
} |
6 + l - y. Determine a(x(v)).
18*v + 1
Let o = 748 - 648. Let d(g) = -2154 - o*g**2 + 2154. Let j(m) = -3*m**2. What is j(d(h))?
-30000*h**4
Let u(d) = -1589*d. Let s(l) be the third derivative of l**4/12 + 10*l**2 - 12. Determine u(s(b)).
-3178*b
Let g(c) = -2*c. Let w(k) be the third derivative of k**7/504 - 8*k**4/3 + 25*k**2 - 2*k. Let z(s) be the second derivative of w(s). Give z(g(i)).
20*i**2
Let p(f) = f. Let v(q) = -1199155*q. Give p(v(y)).
-1199155*y
Let w(y) = -18*y. Let m(n) = 288219*n + 288221*n + 102 - 576442*n. What is m(w(t))?
36*t + 102
Let o(k) = -k - 2. Let m(n) = 4*n + 9. Let u(v) = 4*m(v) + 18*o(v). Let r(b) be the second derivative of -29*b**4/12 + 176*b - 2. Determine u(r(c)).
58*c**2
Let d(f) = f**2. Suppose 10*j - 93 + 193 - 100 = 0. Let s(q) be the second derivative of j + 0*q**2 - 13/2*q**3 + 3*q. Calculate s(d(h)).
-39*h**2
Let h(m) = 9 - 38*m**2 + 3*m + 2*m - 5*m + 75*m**2. Let b(z) = -z**2. What is h(b(r))?
37*r**4 + 9
Let t(w) = -5*w. Suppose 0 = s + 2*v + 19, 13*s + 5*v = 14*s + 47. Let a(l) = 39*l - 27. Let p(c) = 3*c - 2. Let r(m) = s*p(m) + 2*a(m). Give t(r(x)).
15*x
Let t(r) be the second derivative of r**4/4 + 5576*r. Let c(f) be the second derivative of 17*f**4/4 - 2*f. What is c(t(q))?
459*q**4
Let g(h) = 5 + 21*h**2 - 5. Let l(r) = 205*r + 202*r - 606*r + 190*r. What is g(l(w))?
1701*w**2
Let g(q) = -388582 + 388582 - 2*q**2. Let s(m) = 2*m**2 - m + 1753. Give s(g(a)).
8*a**4 + 2*a**2 + 1753
Let k(f) = -740*f. Let x(t) = -127*t. Let o(i) = -6*k(i) + 35*x(i). Let v(n) = -3*n + 40. Determine v(o(u)).
15*u + 40
Let m(v) = -3*v**2 + 183. Let a(p) = 285643*p. Calculate m(a(o)).
-244775770347*o**2 + 183
Let z(p) = 733*p - 1445*p + 672*p. Let w(a) = 11*a. Determine z(w(h)).
-440*h
Let d be (1 - 4 - -32) + 1. Let m(x) = 18 + 2*x - d + 12. Let y(l) = -l + 1. Let v(p) = -9*p + 6. Let n(z) = v(z) - 6*y(z). Give m(n(w)).
-6*w
Let z(t) = 37*t**2. Let b(q) = 23*q + 35. Let l(g) = 304*g + 448. Let o(x) = 64*b(x) - 5*l(x). Determine o(z(m)).
-1776*m**2
Let r(h) = 183*h**2 - 9. Let o(x) = -102*x**2 + 5. Let c(g) = -9*o(g) - 5*r(g). Let b(z) = -6*z. Let k(v) = -v. Let j(p) = -b(p) + 9*k(p). Calculate c(j(t)).
27*t**2
Let f(n) = -37*n + 226*n - 97*n - 89*n. Let d(q) = 79*q**2. Give f(d(i)).
237*i**2
Suppose 5*x = 5*i + 15, 84*i - 85*i = -3*x + 7. Let z(u) be the first derivative of 15 + 0*u + 61/2*u**x. Let m(s) = 2*s**2. Determine z(m(v)).
122*v**2
Let l(h) = -3*h**2. Let w(t) = 11768879*t. What is l(w(d))?
-415519538749923*d**2
Let q(b) = -10*b + 1107*b - 82*b + 368*b. Let h(k) = -k**2. Calculate h(q(z)).
-1912689*z**2
Let j(u) = -350*u**2 + 137*u**2 + 227*u**2. Let o(n) = 248*n**2. Determine o(j(y)).
48608*y**4
Let s(u) = u**2 + 3. Let z(g) be the third derivative of -9*g**5/10 + 2*g**2 + 295*g - 5. Determine z(s(h)).
-54*h**4 - 324*h**2 - 486
Let t(d) = -34*d**2. Let l be (-35)/(-5) - 8 - (-7 + 6). Let m(g) be the second derivative of 0 + 0*g**2 - 9*g - 1/12*g**4 + l*g**3. What is m(t(w))?
-1156*w**4
Let j(g) be the first derivative of -g**3/3 - 602. Let o(x) = -201*x**2. Let t(h) = 10250*h**2. Let s(b) = 205*o(b) + 4*t(b). Give j(s(k)).
-42025*k**4
Let n(y) = -17 - 86*y**2 + 35*y**2 + 69 + 52*y**2 + 73. Let h(g) = -9*g**2. Give h(n(j)).
-9*j**4 - 2250*j**2 - 140625
Let x be 84/(-35)*(-30)/9 + 0. Let c(b) = 11*b - x + 5 - 15*b. Let p(y) = y**2. Determine p(c(g)).
16*g**2 + 24*g + 9
Let t(m) = -3*m. Suppose -2*j + 2*h + 26 = -j, 5*j - 175 = -5*h. Let s(r) = 5*r**2 - 21 - 38*r**2 + j*r**2. Determine t(s(k)).
3*k**2 + 63
Let s(d) = -9*d + 37*d + 152 - 152. Let f(o) = 13*o**2. Calculate s(f(z)).
364*z**2
Let n(f) = 3*f**2. Let m be 240/72 + (-6)/(-9). Let i(x) = -237*x**2 + 242*x**2 + 4*x - m*x. Give n(i(q)).
75*q**4
Let k(h) = 11961*h + 1. Let a(f) be the first derivative of -2*f**3/3 - 5019. Give a(k(n)).
-286131042*n**2 - 47844*n - 2
Let d(q) be the first derivative of -q**2 - 798. Let k(z) = 75*z**2 - 29*z**2 - 37*z**2. Give k(d(p)).
36*p**2
Let g(x) be the first derivative of 7*x**6/360 + 82*x**3 - 54. Let c(d) be the third derivative of g(d). Let k(y) = -7*y. What is c(k(p))?
343*p**2
Let m(o) = -988*o**2. Let j(i) be the third derivative of -i**5/6 - 9689*i**2. Calculate j(m(v)).
-9761440*v**4
Let y(h) = 28*h**2 + 15*h + 5. Let c(r) = -44*r**2 - 24*r - 8. Let l(x) = 5*c(x) + 8*y(x). Let u(n) = 1457*n. Give u(l(a)).
5828*a**2
Let u(a) = 69*a + 2. Let x(i) = -465282*i**2. Determine u(x(z)).
-32104458*z**2 + 2
Let r(d) = -1548564*d. Let q(t) = 15*t. Calculate r(q(w)).
-23228460*w
Let b(j) = -23*j. Let d(p) = -22772*p**2. Determine d(b(o)).
-12046388*o**2
Let f(r) be the second derivative of 89*r**4/6 + r**3/6 + 7*r**2/2 - 5535*r. Let z(g) = -2*g. Determine f(z(j)).
712*j**2 - 2*j + 7
Let c(r) be the first derivative of 1/2*r**2 + r - 74. Let n(s) = 3*s. Calculate c(n(b)).
3*b + 1
Let b(s) = s + 48. Let t(p) be the third derivative of 72*p**2 + 0 + 0*p**3 + 0*p - 1/12*p**4. Calculate t(b(j)).
-2*j - 96
Let g(d) = -3*d. Let u(n) = -22569*n + 45141*n - 22568*n + 10*n**2. Calculate g(u(l)).
-30*l**2 - 12*l
Let k(w) = w**2. Suppose 3*n + 124 = 5*d, n + 8 = d - 18. Let a(h) = -1230*h - d*h**2 + 1230*h. Calculate k(a(q)).
529*q**4
Let g(a) = -223*a. Let s(q) = -450*q**2 - 225*q - 630. Let f(v) = -41*v**2 - 20*v - 56. Let d(c) = 45*f(c) - 4*s(c). Determine d(g(b)).
-2237805*b**2
Let f(l) = -123674*l**2 - 123667*l**2 + 247340*l**2. Let q(m) = 978*m. Give f(q(y)).
-956484*y**2
Let u(o) be the third derivative of 8*o**5/5 + 2*o**2 - 14. Let g(d) be the second derivative of d**4/6 - 3*d + 25. Calculate g(u(l)).
18432*l**4
Let s(w) be the second derivative of 7*w**4/6 + 18*w - 4. Let j(a) = -6*a. What is s(j(i))?
504*i**2
Let i(r) = -r + 355. Let f(h) = -2*h**2 + 6215*h - 12441*h + 6226*h. What is i(f(n))?
2*n**2 + 355
Let a(w) = -4606*w. Let j(f) = -2*f**2 + 5*f - 1243. Determine a(j(k)).
9212*k**2 - 23030*k + 5725258
Let b(y) = 2*y. Let j(i) = -2*i - 746 - 155 + 1883 + 1676. Determine j(b(m)).
-4*m + 2658
Suppose -2*s + 10 = 0, 23*n = 25*n - s - 153. Let t(w) = -5*w - n + 79 + w + 14*w. Let g(z) = 5*z**2. Give t(g(p)).
50*p**2
Suppose 4*p - 36 = -3*q, 2*p - 3*q + 18 = -0. Let f(y) be the third derivative of 0*y**p + 0*y - 34*y**2 + 0 + 1/3*y**4. Let a(u) = -4*u. Calculate a(f(v)).
-32*v
Let g(w) = 751*w + 770*w - 2246*w + 756*w. Let h(m) = -m - 37. Give h(g(l)).
-31*l - 37
Let s(i) = -7*i. Let j(r) = 96*r**2 - 32. Let v(o) = -32*o**2 + 10. Let a(u) = -5*j(u) - 16*v(u). What is s(a(y))?
-224*y**2
Let o(u) = -3*u. Let t(x) = -7774*x**2 - 2*x + 10. Give o(t(m)).
23322*m**2 + 6*m - 30
Let u(v) = -2*v**3 - 24*v**2 - 21*v + 25. Let l be u(-11). Suppose -44 = 2*m - 6*m. Let q(h) = m*h + 7*h - l*h. Let j(k) = -2*k**2. Determine q(j(y)).
-8*y**2
Let y(u) = -u**2. Suppose 0 = 5*z - 5*k - 25, -23 = -6*z + 3*z + 5*k. Let c(r) = -z - 13*r - 65*r + 6*r. Determine c(y(x)).
72*x**2 - 1
Let f(l) = 322*l - 1253. Let h(z) = -2*z. Determine h(f(j)).
-644*j + 2506
Let f(r) = -7*r**2 - 6*r. Let q(u) = 20*u**2 + 17*u. Let d(h) = 17*f(h) + 6*q(h). Let k(n) be the first derivative of 55*n**2/2 + 42163. Give k(d(w)).
55*w**2
Let w(i) = 634043*i. Let s(l) = -l - 47. Calculate w(s(n)).
-634043*n - 29800021
Let c(a) = 2*a. Let s(g) = 2579811*g. Determine c(s(f)).
5159622*f
Let z(j) = 60*j. Let o(l) = -47*l - 493. Calculate z(o(f)).
-2820*f - 29580
Let q(a) be the second derivative of -4033*a**3/6 - a**2/2 + 496*a + 3. Let x(c) = 2*c. What is q(x(u))?
-8066*u - 1
Let u(h) = -340*h**2. Let s(k) = 1024*k**2. Let t(z) = -92*z**2. Let l(c) = 5*s(c) + 56*t(c). What is l(u(p))?
-3699200*p**4
Let d(g) = 22*g + 9. Let b(h) = -15*h - 5. Let c(w) = 9*b(w) + 5*d(w). Let s(v) = -20*v. Calculate s(c(a)).
500*a
Let r(b) = 2*b**2. Let y(i) = 1205382*i. Determine r(y(q)).
2905891531848*q**2
Let b(y) = 14*y. Let j = 303 + -297. Let i(a) = j*a + 23674 - 23674. Give b(i(o)).
84*o
Let b(o) = -2*o + 4. Let p(x) = 3*x - 7. Let j(i) = 7*b(i) + 4*p(i). Let n(l) be the second derivative of 43*l**4/6 - l**3/3 - 3285*l. Calculate j(n(q)).
-172*q**2 + 4*q
Let x(j) = 36572*j. Let g(y) = -16*y. What is g(x(n))?
-585152*n
Let z(n) = -7*n**2. Let a(g) = 2377658*g. Determine a(z(j)).
-16643606*j**2
Let v(l) = -2*l. Let o(t) = -39635151*t. Calculate o(v(r)).
79270302*r
Let h(y) = -10*y. | {
"pile_set_name": "DM Mathematics"
} |
ed to four decimal places?
-0.002
Round 1569497.9 to the nearest ten thousand.
1570000
What is 0.072284 rounded to 2 dps?
0.07
Round -0.002055824 to 6 decimal places.
-0.002056
What is 580530 rounded to the nearest one hundred thousand?
600000
Round 11089.72 to the nearest ten.
11090
What is 0.0359258 rounded to four decimal places?
0.0359
What is -0.00002169672 rounded to 7 decimal places?
-0.0000217
Round -21979.6 to the nearest one hundred.
-22000
What is -0.193525 rounded to 4 decimal places?
-0.1935
What is 126541.3 rounded to the nearest one hundred?
126500
What is 16328820 rounded to the nearest 100000?
16300000
Round 0.00007255013 to seven dps.
0.0000726
What is -0.05907947 rounded to 5 dps?
-0.05908
What is 1447.054 rounded to the nearest 10?
1450
Round -37468.8 to the nearest one hundred.
-37500
Round 0.0016070209 to 7 dps.
0.001607
Round -0.002353502 to 3 decimal places.
-0.002
What is -0.0068904285 rounded to four dps?
-0.0069
What is -34334.374 rounded to the nearest 1000?
-34000
Round -21625.6 to the nearest one hundred.
-21600
Round -7075.06 to the nearest one hundred.
-7100
Round 552665.4 to the nearest ten thousand.
550000
What is -2.4354158 rounded to two dps?
-2.44
What is 3.973135 rounded to 0 decimal places?
4
What is 0.00008972034 rounded to 5 dps?
0.00009
Round 91490.9 to the nearest one hundred.
91500
What is -0.3066167 rounded to 1 dp?
-0.3
What is 0.002795437 rounded to five dps?
0.0028
Round 8.639411 to the nearest integer.
9
Round 6972.36 to the nearest one hundred.
7000
What is 52309980 rounded to the nearest ten thousand?
52310000
What is 0.0006079638 rounded to 6 decimal places?
0.000608
What is 0.14305332 rounded to four dps?
0.1431
Round -336809000 to the nearest one million.
-337000000
Round -0.5902 to one dp.
-0.6
What is -1195.588 rounded to the nearest one thousand?
-1000
Round 4.516837 to the nearest integer.
5
Round 384274.9 to the nearest 1000.
384000
Round -5.9208 to one decimal place.
-5.9
What is -0.0001211149 rounded to six dps?
-0.000121
Round -760.5802 to one decimal place.
-760.6
Round 2847392200 to the nearest 1000000.
2847000000
What is -0.00133515246 rounded to 5 decimal places?
-0.00134
Round 0.06687516 to 3 decimal places.
0.067
What is 99.84408 rounded to the nearest ten?
100
Round 0.00244154 to five decimal places.
0.00244
What is 0.001186228 rounded to 4 dps?
0.0012
Round -216358 to the nearest 10000.
-220000
Round 0.694837 to 3 decimal places.
0.695
What is -15880400 rounded to the nearest one million?
-16000000
What is 299646.76 rounded to the nearest one hundred?
299600
What is -10.574242 rounded to 1 decimal place?
-10.6
What is -0.003011775 rounded to 5 dps?
-0.00301
What is 88.61 rounded to zero dps?
89
What is 69671 rounded to the nearest ten thousand?
70000
What is 49053.8 rounded to the nearest 1000?
49000
Round 0.00349948 to five dps.
0.0035
Round -55.106 to the nearest one hundred.
-100
Round 341.889 to the nearest 10.
340
What is 0.0000009930866 rounded to seven dps?
0.000001
What is 42481.82 rounded to the nearest 1000?
42000
What is -44291.7 rounded to the nearest 100?
-44300
Round -72.64395 to the nearest 10.
-70
What is 66230000 rounded to the nearest one million?
66000000
What is 245921 rounded to the nearest one thousand?
246000
What is 0.00000473197 rounded to six dps?
0.000005
What is 0.0889975 rounded to two dps?
0.09
What is 51229.142 rounded to the nearest ten?
51230
Round 303.1161 to 1 dp.
303.1
Round -2.6840446 to one dp.
-2.7
What is 0.224 rounded to 3 decimal places?
0.224
Round 3728830 to the nearest ten thousand.
3730000
What is 0.3919158 rounded to three dps?
0.392
What is -66174.7 rounded to the nearest 10000?
-70000
What is 208294.13 rounded to the nearest one hundred?
208300
Round -0.026656037 to four dps.
-0.0267
What is -0.660788 rounded to 2 dps?
-0.66
What is -0.00000103881 rounded to seven decimal places?
-0.000001
What is -0.00010399019 rounded to five dps?
-0.0001
What is 1615.488 rounded to the nearest ten?
1620
Round -4.302989 to the nearest integer.
-4
What is 0.04005695 rounded to 3 decimal places?
0.04
Round -44.0733 to one dp.
-44.1
What is -94178.3 rounded to the nearest ten thousand?
-90000
Round -0.001714803 to 4 decimal places.
-0.0017
Round 225651.5 to the nearest one hundred thousand.
200000
Round 3382995700 to the nearest one million.
3383000000
Round 0.0000454856 to seven decimal places.
0.0000455
Round 0.000012411201 to six dps.
0.000012
Round -0.00023556098 to five dps.
-0.00024
What is -614086.4 rounded to the nearest one hundred thousand?
-600000
What is 1.0160337 rounded to two dps?
1.02
Round -294958.9 to the nearest 10000.
-290000
What is 115.06543 rounded to one decimal place?
115.1
What is -0.577419 rounded to three decimal places?
-0.577
What is 4439670 rounded to the nearest one million?
4000000
Round 5.93103 to one dp.
5.9
Round 257892.05 to the nearest one hundred.
257900
What is 0.33901938 rounded to four dps?
0.339
Round -793301 to the nearest one thousand.
-793000
What is 0.18943892 rounded to 4 decimal places?
0.1894
What is -0.000916103 rounded to 6 decimal places?
-0.000916
What is 39.785 rounded to two dps?
39.79
What is -0.0000075892268 rounded to seven dps?
-0.0000076
Round -0.004285987 to six decimal places.
-0.004286
Round -565.611 to the nearest 10.
-570
What is -0.00000032421 rounded to seven decimal places?
-0.0000003
What is 4759200 rounded to the nearest 100000?
4800000
What is -654.829 rounded to the nearest 10?
-650
What is -0.0004073428 rounded to five dps?
-0.00041
Round -0.3201197 to one dp.
-0.3
Round 0.00004522591 to 5 dps.
0.00005
Round 0.27844813 to three dps.
0.278
What is 0.00195493 rounded to 5 decimal places?
0.00195
What is -10536.985 rounded to the nearest ten?
-10540
Round 0.001235958 to three dps.
0.001
What is -1303266 rounded to the nearest 100000?
-1300000
Round -0.0001428552 to six dps.
-0.000143
What is -26657538 rounded to the nearest one hundred thousand?
-26700000
What is -1521.59 rounded to the nearest ten?
-1520
Round -0.000060199335 to five dps.
-0.00006
What is 14.988389 rounded to two decimal places?
14.99
Round -85.72039 to the nearest ten.
-90
What is -1454358700 rounded to the nearest 1000000?
-1454000000
What is -0.0000076167 rounded to 7 dps?
-0.0000076
What is -0.011264157 rounded to 5 decimal places?
-0.01126
What is 3521594 rounded to the nearest 1000000?
4000000
What is -30119700 rounded to the nearest one hundred thousand?
-30100000
What is -0.004696577 rounded to 5 dps?
-0.0047
What is -73687.3 rounded to the nearest ten thousand?
-70000
What is -0.06823787 rounded to three decimal places?
-0.068
What is -25828.1 rounded to the nearest 1000?
-26000
What is -27.13484 rounded to two dps?
-27.13
Round -84950500 to the nearest 1000000.
-85000000
What is 4023.9 rounded to the nearest 100?
4000
Round 0.00940308 to three decimal places.
0.009
What is 435.9772 rounded to the nearest 10?
440
What is -0.003332659 rounded to five decimal places?
-0.00333
What is 70026.27 rounded to the nearest 10?
70030
What is 0.261966 rounded to 2 decimal places?
0.26
What is 111846690 rounded to the nearest 1000000?
112000000
Round -0.00000799839 to 6 dps.
-0.000008
What is -3499952200 rounded to the nearest one million?
-3500000000
Round 0.0149279 to three dps.
0.015
Round -0.000003115 to 7 dps.
-0.0000031
Round 0.000146147943 to seven decimal places.
0.0001461
What is -2639.17 rounded to the nearest one thousand?
-3000
What is 0.035524176 rounded to two dps?
0.04
Round 4290.1911 to the nearest integer.
4290
Round 0.00000121559 to seven dps.
0.0000012
Round -71485.73 to the nearest 1000.
-71000
Round 79.4088 to the nearest 10.
80
Round 135349420 to the nearest one hundred thousand.
135300000
What is 62.0752 rounded to zero dps?
62
What is -3283.1 rounded to the nearest 1000?
-3000
Round -5045.5992 to zero decimal places.
-5046
What is -2611.84 rounded to the nearest one thousand?
-3000
Round -4150730 to the nearest 10000.
-4150000
What is -0.00014623904 rounded to 6 dps?
-0.000146
Round -0.00024224921 to 7 decimal places.
-0.0002422
Round 0.0012486947 to four dps.
0.0012
Round 69538200 to the nearest 100000.
69500000
What is -13110550 rounded to the nearest ten thousand?
-13110000
Round | {
"pile_set_name": "DM Mathematics"
} |
1202, 1223, 1246, 1271?
z**2 + 14*z + 1151
What is the o'th term of 36, 94, 180, 294?
14*o**2 + 16*o + 6
What is the q'th term of 3, 3, 9, 27, 63, 123, 213, 339?
q**3 - 3*q**2 + 2*q + 3
What is the z'th term of 378, 371, 364?
-7*z + 385
What is the y'th term of -4650, -4649, -4648, -4647, -4646, -4645?
y - 4651
What is the q'th term of 4859, 4856, 4853?
-3*q + 4862
What is the n'th term of 824, 838, 852, 866?
14*n + 810
What is the p'th term of -44, -77, -108, -137?
p**2 - 36*p - 9
What is the a'th term of -128, -217, -366, -575, -844?
-30*a**2 + a - 99
What is the n'th term of -2978, -2976, -2974, -2972, -2970, -2968?
2*n - 2980
What is the c'th term of 263, 260, 257, 254, 251?
-3*c + 266
What is the p'th term of -179, -359, -539, -719, -899, -1079?
-180*p + 1
What is the u'th term of -13, -50, -121, -232, -389?
-u**3 - 11*u**2 + 3*u - 4
What is the r'th term of 110, 120, 128, 134, 138, 140, 140?
-r**2 + 13*r + 98
What is the b'th term of 59, 128, 193, 254, 311, 364?
-2*b**2 + 75*b - 14
What is the b'th term of 92, 84, 82, 86, 96?
3*b**2 - 17*b + 106
What is the c'th term of 246, 231, 182, 81, -90, -349?
-3*c**3 + c**2 + 3*c + 245
What is the i'th term of -705, -718, -761, -852, -1009, -1250?
-3*i**3 + 3*i**2 - i - 704
What is the i'th term of -16, -27, -38, -49, -60?
-11*i - 5
What is the w'th term of -126, -249, -372, -495, -618, -741?
-123*w - 3
What is the q'th term of 43, 45, 33, -5, -81?
-2*q**3 + 5*q**2 + q + 39
What is the s'th term of 216, 405, 596, 789, 984, 1181, 1380?
s**2 + 186*s + 29
What is the u'th term of 25, -15, -77, -161?
-11*u**2 - 7*u + 43
What is the b'th term of -1147, -1141, -1133, -1123, -1111, -1097, -1081?
b**2 + 3*b - 1151
What is the i'th term of 1295, 1294, 1293, 1292, 1291?
-i + 1296
What is the j'th term of 350, 357, 364, 371, 378, 385?
7*j + 343
What is the r'th term of 1006, 2019, 3032?
1013*r - 7
What is the c'th term of -170, -281, -392, -503, -614?
-111*c - 59
What is the b'th term of -59, -58, -65, -86, -127, -194?
-b**3 + 2*b**2 + 2*b - 62
What is the f'th term of 24, 9, -20, -69, -144, -251?
-f**3 - f**2 - 5*f + 31
What is the t'th term of -6, -37, -68, -99, -130?
-31*t + 25
What is the v'th term of -52, 9, 70, 131, 192?
61*v - 113
What is the j'th term of 90, 180, 270?
90*j
What is the r'th term of 70, 263, 580, 1021, 1586?
62*r**2 + 7*r + 1
What is the c'th term of -5, -2, 3, 10?
c**2 - 6
What is the j'th term of 77, 152, 225, 296, 365, 432, 497?
-j**2 + 78*j
What is the g'th term of -962, -963, -964, -965, -966?
-g - 961
What is the m'th term of -26, -33, -52, -89, -150, -241?
-m**3 - 25
What is the i'th term of 7697, 7700, 7703, 7706, 7709?
3*i + 7694
What is the p'th term of 340, 335, 318, 283, 224, 135, 10, -157?
-p**3 + 2*p + 339
What is the q'th term of -4, 4, 14, 26, 40, 56, 74?
q**2 + 5*q - 10
What is the q'th term of 60, 56, 52, 48?
-4*q + 64
What is the h'th term of 11, -36, -115, -226, -369?
-16*h**2 + h + 26
What is the x'th term of 1689, 1688, 1687, 1686, 1685, 1684?
-x + 1690
What is the h'th term of -39, -82, -125, -168?
-43*h + 4
What is the v'th term of 25, 5, -49, -155, -331, -595, -965?
-3*v**3 + v**2 - 2*v + 29
What is the z'th term of -7, 4, 49, 146, 313?
3*z**3 - z**2 - 7*z - 2
What is the b'th term of 12645, 12646, 12647?
b + 12644
What is the o'th term of 65, 110, 131, 116, 53, -70, -265, -544?
-2*o**3 + 59*o + 8
What is the q'th term of -132, -118, -116, -132, -172, -242, -348, -496?
-q**3 + 21*q - 152
What is the t'th term of -20, -19, -6, 25, 80, 165?
t**3 - 6*t - 15
What is the v'th term of -226, -228, -230, -232?
-2*v - 224
What is the v'th term of -53, -113, -179, -251?
-3*v**2 - 51*v + 1
What is the l'th term of -1124, -2247, -3370, -4493, -5616, -6739?
-1123*l - 1
What is the c'th term of -72, -104, -158, -234, -332, -452, -594?
-11*c**2 + c - 62
What is the n'th term of -12, -34, -80, -162, -292, -482?
-2*n**3 - 8*n - 2
What is the g'th term of -1700, -3382, -5054, -6710, -8344, -9950, -11522?
g**3 - g**2 - 1686*g - 14
What is the p'th term of -530, -526, -522, -518, -514, -510?
4*p - 534
What is the j'th term of 62, 58, 50, 38, 22, 2, -22?
-2*j**2 + 2*j + 62
What is the n'th term of 18, 53, 88, 123?
35*n - 17
What is the b'th term of -16, -4, 32, 92, 176?
12*b**2 - 24*b - 4
What is the d'th term of -4, -19, -42, -73, -112, -159, -214?
-4*d**2 - 3*d + 3
What is the o'th term of 163, 165, 169, 175, 183, 193, 205?
o**2 - o + 163
What is the v'th term of 11, 36, 71, 122, 195, 296, 431, 606?
v**3 - v**2 + 21*v - 10
What is the d'th term of -7306, -14614, -21922?
-7308*d + 2
What is the m'th term of -509, -511, -513, -515, -517, -519?
-2*m - 507
What is the o'th term of 904, 905, 904, 901, 896?
-o**2 + 4*o + 901
What is the d'th term of 22, 22, 36, 70, 130, 222?
d**3 + d**2 - 10*d + 30
What is the n'th term of 5, 56, 149, 290, 485?
n**3 + 15*n**2 - n - 10
What is the f'th term of -36, -74, -112, -150?
-38*f + 2
What is the c'th term of -18628, -18630, -18632?
-2*c - 18626
What is the a'th term of -5, 17, 69, 163, 311, 525?
2*a**3 + 3*a**2 - a - 9
What is the i'th term of -34, -54, -70, -82, -90, -94?
2*i**2 - 26*i - 10
What is the l'th term of 1553, 1557, 1563, 1571, 1581, 1593?
l**2 + l + 1551
What is the o'th term of -30, -30, -36, -54, -90, -150, -240, -366?
-o**3 + 3*o**2 - 2*o - 30
What is the s'th term of -26, -15, -4, 7?
11*s - 37
What is the m'th term of -62, -137, -222, -317, -422, -537?
-5*m**2 - 60*m + 3
What is the b'th term of -348, -344, -340?
4*b - 352
What is the b'th term of 1194, 1190, 1186, 1182?
-4*b + 1198
What is the d'th term of 736, 1449, 2162, 2875?
713*d + 23
What is the u'th term of 768, 781, 802, 831?
4*u**2 + u + 763
What is the d'th term of -6300, -6298, -6296, -6294, -6292?
2*d - 6302
What is the l'th term of -319, -316, -313, -310?
3*l - 322
What is the r'th term of -161, -595, -1311, -2303, -3565, -5091, -6875, -8911?
r**3 - 147*r**2 - 15
What is the j'th term of 130, 139, 154, 175, 202, 235, 274?
3*j**2 + 127
What is the v'th term of 5785, 11567, 17351, 23137?
v**2 + 5779*v + 5
What is the k'th term of -11, -63, -215, -515, -1011, -1751?
-8*k**3 - 2*k**2 + 10*k - 11
What is the l'th term of 11382, 11383, 11384, 11385, 11386?
l + 11381
What is the v'th term of 23, 33, 49, 71, 99, 133?
3*v**2 + v + 19
What is the p'th term of 246, 358, 478, 612, 766?
p**3 - 2*p**2 + 111*p + 136
What is the d'th term of 3438, 3437, 3438, 3441, 3446?
d**2 - 4*d + 3441
What is the h'th term of 12, 28, 66, 138, 256, 432, 678?
2*h**3 - h**2 + 5*h + 6
What is the n'th term of 24, 25, 28, 33?
n**2 - 2*n + 25
What is the h'th term of 2954, 2933, 2890, 2819, 2714, 2569?
-h**3 - 5*h**2 + h + 2959
What is the l'th term of -87, -169, -253, -339, -427, -517?
-l**2 - 79*l - 7
What is the j'th term of 77, 114, 151, 188?
37*j + 40
What is the t'th term of -127, -128, -129, -130?
-t - 126
What is the c'th term of 30, 31, 18, -15, -74?
-c**3 - c**2 + 11*c + 21
What is the x'th term of -49, -49, -53, -61, -73?
-2*x**2 + 6*x - 53
What is the l'th term of -2847, -2842, -2835, -2826, -2815, -2802?
l**2 + 2*l - 2850
What is the m'th term of -4167, -4167, -4165, -4161, -4155, -4147, -4137?
m**2 - 3*m - 4165
What is the v'th term of 398, 396, 394, 392?
-2*v + 400
What is the f'th term of 749, 751, 753, 755, 757, 759?
2*f + 747
What is the g'th term of 600, 581, 562, 543, 524?
-19*g + 619
What is the u'th term of -10, 72, 214, 422, 702?
u**3 + 24*u**2 + 3*u - 38
What is the k'th term of 48, 95, 144, 195, 248, 303, 360?
k**2 + 44*k + 3
What is the u'th term of 6380, 6379, 6378, 6377, 6376, 6375?
-u + 6381
What is the t'th term of -63, -71, -79, -87, -95, -103?
-8*t - 55
What is the c'th term of 282, 1178, 2686, 4818, 7586?
2*c**3 + 294*c**2 - 14
What is the t'th term of 117, 111, 99, 81, 57, 27, -9?
-3*t**2 + 3*t + 117
What is the z'th term of 610, 1229, 1858, 2497?
5*z**2 + 604*z + 1
What is the j'th term of 7662, 30641, 68940, 122559, 191498?
7660*j**2 - j + 3
What is the j'th term of -54, -103, -150, -195, -238, -279?
j**2 - 52*j - 3
What is the j'th term of 706, 704, 702, 700, 698, 696?
-2*j + 708
What is the f'th term of 66, 58, 34, -12, -86, -194, -342?
-f**3 - 2*f**2 + 5*f + 64
What is the y'th term of -475, -3849, -13009, -30847, -60255, -104125, -165349?
-482*y**3 - y**2 | {
"pile_set_name": "DM Mathematics"
} |
gger: f or -1?
-1
Suppose 0 = -a - 9 + 6. Let q be -4 + (0 - 3) + a. Which is smaller: q or -8?
q
Let k = 0.78 + -0.08. Let i = k - 0.15. Let y = i - 0.05. Is y not equal to -1?
True
Suppose -p = -6*p + 15. Suppose 5*j = 2*x + 6, 5*j - 2*x + 3 = -p*x. Which is greater: j or 1?
1
Suppose -5*k + 14 = -2*q + 31, -q = 2*k + 5. Suppose -z + 2*z = -4*g, 3*z = 4*g - 16. Is k != g?
True
Let g = -6 - -5.7. Let r = g + 0.1. Which is smaller: 4 or r?
r
Suppose -2*y + 147 = -9*y. Which is smaller: y or -1?
y
Suppose -x = -0*x + 1. Let j be (4/45)/((-6)/5). Are x and j nonequal?
True
Let j(o) = o**2 - 12*o + 7. Let f be j(10). Let t = f - -22. Let v be (-22)/42 + 6/t. Which is bigger: 0 or v?
v
Suppose -2*p = -v + 5, 4*v + 2*p = 3*v - 15. Which is bigger: v or -1?
-1
Suppose 2*n = -3*o - 10, -20 = -2*o + 3*n - 5. Which is smaller: o or -1?
-1
Let x(u) = -u**3 + 5*u**2 - 3*u - 1. Let t be x(5). Let w be (-4)/t - (-10)/(-8). Let s = -2/7 + 4/7. Is s less than or equal to w?
False
Let d = -5 + 6. Are 1/3 and d unequal?
True
Suppose -5*s = -y - s + 7, 3*s + 11 = -5*y. Suppose -5*g - 3*u = -14, -8 = -4*g - 3*u + 5. Let k = y - g. Which is smaller: k or -1?
k
Let q = -5.9 + -1.1. Which is smaller: 1/4 or q?
q
Let i(f) = -f**2 + f. Let p be i(0). Suppose p = -r - 2*r + 81. Let y be r/46 + (-4)/8. Which is bigger: y or 1?
1
Suppose -6*z = 74 + 532. Which is bigger: -102 or z?
z
Let s = 7322/47 - 156. Let f = -16/517 - s. Which is smaller: 1 or f?
f
Let b be 6/24 - (-14258)/(-72). Let p = 198 + b. Which is smaller: -1 or p?
-1
Let c = 2 + -2. Let p = c + 5. Let l = 4 - p. Is -1 > l?
False
Let i be 0/(-2) - (-120)/6. Let b be (4/30)/(i/175). Let l = -2/3 + b. Which is smaller: l or 1?
l
Let o be (-7)/(-2) - 3/6. Suppose -o*l - 3*x = x + 4, 2 = 5*l - 2*x. Which is bigger: l or -2?
l
Let z(q) = -q**2 + q + 6. Let l be z(-2). Is l greater than or equal to 0?
True
Let k = 1.1 - 0.9. Let t = 0.9 - -0.1. Is t at least k?
True
Let c = 0.3 + 0.54. Let m = c + 0.26. Let b = -0.1 + m. Which is greater: b or 1/3?
b
Let w = 28 + -19. Which is greater: 2 or w?
w
Let z = -30 + 38. Which is greater: z or 2?
z
Let x(q) = 2*q - 7. Let l be x(6). Suppose -l*s + 5*z = 0, 2*s + 2*z = z. Is -3 not equal to s?
True
Suppose -3*l = 6, 3*x + 4*l + 13 = 2. Suppose -3*y + 6 = -15. Is x at least y?
False
Let r = -0.29 + 0.09. Is r at least -0.04?
False
Suppose -3*z + 26 = -u, 4*z - 3*u = -0*z + 38. Which is bigger: z or 6?
z
Let q = 94 + -33. Suppose -4*h + q = 25. Suppose -3*y + h = -3. Are 4 and y unequal?
False
Let m = 3.2 + -4. Let h = m + -0.2. Is h at least as big as 4?
False
Let h(c) = c**2 - 8*c + 4*c + 1 + 5*c. Let p be h(-1). Which is smaller: p or 5/3?
p
Let o(s) = s**3 + s**2 - 3*s - 3. Let t be (-8)/36 + (-16)/9. Let d be o(t). Is -1/5 at least as big as d?
True
Let o = 58 + -57. Let j = 797/9 + -89. Is j greater than or equal to o?
False
Suppose -656 = -3*o + 5*y, -4*o + y = -70 - 816. Let c = -2000/9 + o. Is -1 at least c?
False
Let d = -6 + 5.6. Is -1/3 smaller than d?
False
Suppose -f + 31 = 5*c - 103, f = 4*c - 100. Is c less than -1?
False
Let k = 128/5 + -26. Let z(m) = -m**2 - 8*m + 5. Let i be z(-8). Let v be (4/(-10))/(3/i). Which is bigger: v or k?
k
Let l be 3/(9/(-92)) + 1. Let o = l - -30. Let f = -1 + 2. Which is smaller: o or f?
o
Let s(n) = -n**2 + 4*n + 5. Let t be s(5). Let o = t + -6. Suppose -5*z = 3*j + 40, 4*j + 5 = 4*z - j. Do z and o have the same value?
False
Let g = 87 + -132. Is 2 >= g?
True
Let b = -27.8 - -45.5. Let g = b - 17. Let p = -0.8 + g. Is p at most 0.01?
True
Suppose -10*o + 5*o - 20 = 0. Suppose 7 = 3*d - 2*d + 2*j, 0 = 3*d + 2*j - 9. Let v be (2*-2 + 0)*d. Is o greater than v?
False
Suppose -2*k = -p + 3*k + 10, -5*p - 4*k + 50 = 0. Are p and 11 unequal?
True
Suppose 0 = -d + z - 21, 2*z - 140 = 5*d - 44. Is -20 at most as big as d?
True
Let y = 12 + -13.1. Let h = 1 + y. Is h >= -3?
True
Suppose 0 = -2*a + 8 - 2. Is a at most as big as 3?
True
Let f(w) = -w**2 - 10*w + 5. Let j be f(-10). Is j at least as big as 5/4?
True
Let m be (2 + 238/(-77))*2/4. Which is greater: 0.2 or m?
0.2
Let l = -6.8 + -1.2. Let n = l - -8. Let o(a) = a**2 - 4*a - 5. Let s be o(5). Is s != n?
False
Let v be (6/(-4) + 1)*2. Let m = -3386/11 + 308. Is m at most v?
False
Suppose -r - 40 = -6*r. Which is smaller: r or 7?
7
Let k = -9 - -12. Suppose 18 = -k*g - 5*q, 4*q = -g - 0*q - 13. Let i = 197/11 + -18. Is i <= g?
False
Let w be 20/(-40) - -1*2/4. Is w > 0?
False
Suppose 13 = 3*j + 1. Let p = -1.99 - 0.01. Let n = p - -3. Are n and j equal?
False
Let f = -158/45 - -28/9. Let a = -11 + 18. Let t = a - 6.8. Which is smaller: f or t?
f
Suppose 2*o - 25 = 3. Suppose 0 = -y - 4*a + o, -7*y - 4 = -3*y + 4*a. Which is smaller: y or -5?
y
Let y(c) = -c**2 - 2*c + 2. Let x be y(-3). Let s = -12 + 12. Is x at least as big as s?
False
Let z be 60/25 + 2/(-5). Suppose -z + 1 = g. Does g = 1/3?
False
Suppose -8 = -3*b - b + 2*n, 0 = 3*b + n - 6. Are b and 1 unequal?
True
Let l be (-86)/(-28) - (-10 - -13). Let k(q) = q**2 + 5*q + 1. Let h be k(-5). Are h and l unequal?
True
Let k = 15 - 11. Is k > 4?
False
Let q = 0.189 + 0.011. Let t = -0.07 - -0.37. Which is smaller: q or t?
q
Suppose 16 = 4*k - 0*k. Let w = 1 - k. Is -4 > w?
False
Let y be 2 - -1*0/(-3). Suppose -i + 2 = -y*i. Which is smaller: -4/3 or i?
i
Let h = 1 - -2. Is 3 equal to h?
True
Let c(s) = -27*s. Let a be c(-1). Let t be a/(-18) + (-7)/(-2). Which is smaller: t or 1?
1
Let i = 360/1211 - 2/173. Suppose 17 = 3*k + 11. Let s be k/5 - 11/15. Which is greater: s or i?
i
Let s = 83 + -85. Let o = -7/2 + 3. Which is bigger: s or o?
o
Let x = 7 + -4. Suppose -w = 2*w - x. Is w greater than or equal to 2?
False
Let c be 4/(-26) - (-259)/(-91). Is c >= 4?
False
Let u = -2 - -1.9. Let a = 129/2 - 66. Do a and u have different values?
True
Let m be (6/15)/(8/80). Is m at most as big as 3?
False
Let b = 0.05 + 0.85. Let a = -1 + b. Which is smaller: a or 2/7?
a
Suppose -4*l - 202 = -y + 4*y, 0 = 2*y - 3*l + 163. Is y != -74?
False
Suppose 3*s - 6 = -2*g, 5*g + 1 = -2*s + 2*g. Suppose -7 + 27 = s*r. Are 5 and r equal?
True
Let m = -16 + 8. Let f = 8 + m. Let a = -3 - -2. Is f greater than or equal to a?
True
Let b(h) = -2*h**3 + 3*h**2 + 4*h. Let u be b(3). Let v be (-2)/5 - (-24)/u. Suppose 6*z = z - 5. Is v less than or equal to z?
True
Let c = -0.42 - -0.4. Let z = 1.02 + c. Let y = 0 - 1. Is z less than or equal to y?
False
Suppose 3*z = -3*t + 81, z - 147 = 2*t - 7*t. Let i = 52 - t. Let a = i - 13. Are 8 and a nonequal?
True
Let o be ((-2)/4)/(1/(-18)). Let w be (-60)/(-7) + ((-148)/14 - -10). Is w > o?
False
Let n = -4 - 0. Let d(v) = -v**3 + 6*v**2 - v + 6. Let i be d(6). Which is bigger: n or i?
i
Let z be 2/(-4)*(-10 + 8). Which is greater: z or -2/59?
z
Let p(t) = t - 2. Let s = 7 - 3. Let m be p(s). Let k = -752 + 748. Is m smaller than k?
False
Let b = 1 + 2. Let v be ((-1)/(-2))/((-1)/b). Let k be -1 + (6/(-1))/3. Is k >= v?
False
Let z = 17 + -57. Let w be (0 + -1)*z/70. Suppose 1 - 3 = -i. Which is smaller: i or w?
w
Suppose v - 636 = 4*v. Let l be 1*(v/70 + 3). Is -1 at least l?
False
Let s be (-91)/39 + 0 + 0. Is -3 <= s?
True
Suppose 0 = -y - 3*y. Is y > 2/27?
False
Let g(k) = -313*k - 1. Let f be g(-1). Let i be ((-2)/5)/(f/(-350)). Let s = i - -2/39. Are s and 2/5 nonequal?
True
Suppose y = -3*y + 4*a - 4, -5 = -5*y - 5*a. Suppose y = -5*c + 10 - 0. Let s = 14 - 10. Which is smaller: s or c?
c
Suppose -46 = -78*b + 80*b. Which is smaller: b or -22?
b
Let z = 36 + -36.1. Let n = -2 - -4. Is z at least as big as n?
False
Let q be -1 - ((-25)/4)/5 - 0. Is -2/93 bigger than q?
False
Let b be ((-6)/8 + 1)*-1. Let q be ((-2)/2 + -1)/((-4)/(-2)). Which is smaller: b or q?
q
Let g = -351/44 + 96/11. Let p = g - 1/4. Which is smaller: p or 0?
0
Let b(x) = -285*x. Let j(s) = 13*s. Let n(u) = -2*b(u) - 45*j(u). Let f be n(-1). Suppose -f = -4*c + 5. Which is greater: c or 6?
6
Suppose 4*s - 43 = j, 4*s = 3*s - j + 12. Let p be 4/s + (-6)/33. Which is greater: 1 or p?
1
Let w be (-36)/(-8) + 2/4. Suppose 2*j + 51 = -5*i, 0 = w*j - i + 62 - 2. Which is smaller: j or -12?
j
Let u be (-2)/((-3 - -1) + 1). Let z(a) = -2*a**2 + 10 + a**2 + u*a**2 - 11*a + 0. Let j be z(10). Which is greater: 2/13 or j?
2/13
| {
"pile_set_name": "DM Mathematics"
} |
ivative of -d**6/30 - d**5/20 + d**4/4 + d**3/6 - d**2 - 23*d. Factor j(b).
-(b - 1)**2*(b + 1)*(b + 2)
Let b(o) be the third derivative of -o**11/831600 + o**10/378000 + o**5/12 + o**2. Let c(h) be the third derivative of b(h). Let c(d) = 0. Calculate d.
0, 1
Let k(h) = h**4 + 4*h**2 + 2*h - 1. Let z(c) = 3*c**4 + 9*c**2 + 5*c - 2. Let m(o) = o**2 + 5*o + 4. Let r be m(-3). Let x(i) = r*z(i) + 5*k(i). Factor x(j).
-(j - 1)**2*(j + 1)**2
Let i be (3/(-9))/(2/(-12)). Suppose h - i = -0*h. Let j(n) = -n**3 - 3*n - 2. Let c(b) = -3*b**3 - 7*b - 5. Let v(t) = h*c(t) - 5*j(t). Solve v(a) = 0.
-1, 0, 1
Find t such that 39*t + 11 - 8*t**2 + 4 + 33*t**2 + 5*t**3 - 4*t = 0.
-3, -1
Factor 6*h**5 - 86*h**3 - 26*h**5 - 68*h**4 - 8*h - 60*h**2 + 2*h**3 + 16*h**2.
-4*h*(h + 1)**3*(5*h + 2)
Let t(j) be the second derivative of j**5/140 + j**4/28 + j. Factor t(v).
v**2*(v + 3)/7
Let x(b) be the third derivative of -b**8/672 + b**6/240 + 5*b**2. Let x(k) = 0. What is k?
-1, 0, 1
Determine x so that 0 + 8/5*x**2 + 2/5*x**3 + 8/5*x = 0.
-2, 0
Let w be (-340)/(-153) + (-4)/18. Suppose 0 = -5*t + 5*f + 25, 0*t + 10 = -4*t - w*f. Factor -1/4*h**2 + 1/4*h + t + 1/4*h**4 - 1/4*h**3.
h*(h - 1)**2*(h + 1)/4
Factor -6/5*v**2 + 0*v - 1/5*v**3 + 0.
-v**2*(v + 6)/5
Let v(c) = 48*c**3 - 93*c**2 + 51*c - 15. Let y(w) = 24*w**3 - 47*w**2 + 26*w - 8. Let k(n) = 5*v(n) - 9*y(n). Find z such that k(z) = 0.
1/4, 1/2, 1
Let m be 0 - 0 - (5 - 8). Suppose -m*l + 2*g = -4 + 1, 5*l - 4*g = 3. Factor 0 + 7*y - 2 - 10*y + y**l.
(y - 2)*(y + 1)**2
Let j(i) be the first derivative of i**4/4 - 2*i**2 + 3. Suppose j(p) = 0. What is p?
-2, 0, 2
Let t(n) be the second derivative of -1/30*n**4 + 0*n**3 - 1/50*n**5 + 4*n + 0 + 0*n**2. Factor t(s).
-2*s**2*(s + 1)/5
Suppose -4 + 19 = 5*f. Let c(j) be the second derivative of 0*j**f - 1/48*j**4 + 1/8*j**2 + 0 + j. Factor c(b).
-(b - 1)*(b + 1)/4
Let v(g) = g + 11. Let h be v(-9). Factor -l + 5*l**2 - 5*l**2 + 0*l**2 + l**h.
l*(l - 1)
Let o(r) be the third derivative of 0 + 0*r**4 - 1/140*r**7 + 3/40*r**6 + r**2 + 0*r**3 + 0*r - 9/40*r**5. Factor o(i).
-3*i**2*(i - 3)**2/2
Let p(u) be the third derivative of u**7/1785 - 4*u**5/255 + 16*u**3/51 + 14*u**2. Factor p(i).
2*(i - 2)**2*(i + 2)**2/17
Let u(d) = d**3 + 9*d**2 + 18*d + 5. Let n be u(-6). Let b(p) be the second derivative of 0 - 1/26*p**4 - 1/13*p**3 - 1/130*p**n + p - 1/13*p**2. Factor b(z).
-2*(z + 1)**3/13
Suppose -5 - 5 = -5*y. What is b in b**4 + y*b**3 - 4*b**2 - 3*b**3 + b + 3*b**2 = 0?
-1, 0, 1
Suppose m = 3*m - 10. Let d(q) = -7*q**2 + 3*q. Let k(o) be the first derivative of -o**3 + o**2/2 - 1. Let c(y) = m*k(y) - 2*d(y). Solve c(b) = 0.
-1, 0
Suppose 4*g = 5*i - 30, 0*i - 4*i + 33 = -5*g. Let n(l) be the first derivative of 2 + 4*l + 40/3*l**3 + 13*l**i. Determine t, given that n(t) = 0.
-2/5, -1/4
Let z(r) be the first derivative of 2*r**6/15 - 8*r**5/25 - 3*r**4/5 + 16*r**3/15 + 8*r**2/5 + 34. Determine v so that z(v) = 0.
-1, 0, 2
Let u(a) be the third derivative of -a**6/720 + a**5/120 - a**3/2 - a**2. Let f(k) be the first derivative of u(k). Factor f(q).
-q*(q - 2)/2
Let b = 7 - 4. Let v(n) be the first derivative of -1 - 2*n + 2*n**b + 7*n**2 + 2 - 9*n**2. Solve v(q) = 0 for q.
-1/3, 1
Let c(o) be the first derivative of -3*o**2/2 - 3*o + 6. Let n be c(-2). Solve 0 + 6/7*z**4 - 4/7*z**n - 2/7*z**5 + 0*z + 0*z**2 = 0.
0, 1, 2
Find n such that -1/2*n**4 - 1/2*n**2 + 0*n + 0 - n**3 = 0.
-1, 0
Let p(o) be the second derivative of 13*o**7/252 - o**6/90 - 13*o**5/60 + o**4/18 + 13*o**3/36 - o**2/6 + 10*o. Suppose p(w) = 0. What is w?
-1, 2/13, 1
Let c(b) be the third derivative of 7/30*b**7 + 7/48*b**8 - 1/15*b**5 - 4*b**2 + 0*b**4 + 0 + 0*b - 1/30*b**6 + 0*b**3. Solve c(g) = 0.
-1, -2/7, 0, 2/7
Let h be -1 + (4 - -3) + -3. Determine o, given that -o**h + 5*o**2 + 42*o - 9 - 45*o + 0*o**3 = 0.
-1, 3
Let h(u) be the first derivative of -u**6/600 + u**5/100 - 2*u**3/3 - 2. Let l(p) be the third derivative of h(p). Solve l(m) = 0 for m.
0, 2
Suppose 83 - 39*i**2 - 265*i - 16*i**2 - 33 = 0. What is i?
-5, 2/11
Let o(n) = 8*n**4 + 5*n**3 - 13*n**2 + 5*n. Let v(m) = -16*m - 12*m**3 - 20*m**4 + 32*m**2 + 0*m**4 + 4*m. Let s(y) = -12*o(y) - 5*v(y). Factor s(b).
4*b**2*(b - 1)*(b + 1)
Let u = 19/5 + -2304/605. Let l = u + 245/363. Find c such that 0*c - 2/3*c**2 + l = 0.
-1, 1
Let k(d) = 11*d**2 + 19*d - 6. Suppose -u - 2*u + 18 = 0. Let s(t) = t**2 + t. Let b(r) = u*s(r) - k(r). Factor b(c).
-(c + 3)*(5*c - 2)
Factor 1/3*a**2 + 0*a + 0.
a**2/3
Let q(m) = m - 21. Let s be q(11). Let f be (-16)/s + (-15)/25. Factor f + w + 0*w - 3*w**3 - w**2 - 2*w + 4*w**3.
(w - 1)**2*(w + 1)
Let o be (6/8)/(4*(-11)/(-44)). Let m = 18/7 - 9/28. Factor -o*u**3 + 0 - 3/2*u + m*u**2.
-3*u*(u - 2)*(u - 1)/4
Let w(x) be the first derivative of -x**4 - 2/5*x**5 + 2*x**2 + 2/3*x**3 - 3 + 0*x. Factor w(q).
-2*q*(q - 1)*(q + 1)*(q + 2)
Let w(g) = -g**4 - g**3 - g**2 + 1. Let t(i) = -i**5 + i**4 + 2*i**3 + 3*i**2 - 3. Let f(q) = t(q) + 3*w(q). Let f(z) = 0. Calculate z.
-1, 0
Let s(r) be the second derivative of r**7/3360 - r**6/720 + r**5/480 + r**3/6 + r. Let z(l) be the second derivative of s(l). Let z(o) = 0. What is o?
0, 1
Let p = -21 - -9. Let q be (-1)/p + 1/4. Determine o so that -q + 0*o**4 + 7/3*o**3 - o + 1/3*o**2 - 4/3*o**5 = 0.
-1, -1/2, 1
Let r(x) = 2*x**2 - 9*x + 13. Let j be r(4). Suppose -2*m + j = -0*h - h, -h = -m + 7. Factor 147*w**m + 4 - 343/2*w**3 - 42*w.
-(7*w - 2)**3/2
Let l(c) = c**3 + 8*c**2 - c - 8. Let t be -2 + (-3 - -5 - 8). Let j be l(t). Solve 1/3*u**5 + j + 0*u**2 - 2/3*u**4 + 1/3*u**3 + 0*u = 0 for u.
0, 1
Let a(q) = 6*q**2 + 6. Let r = 5 - 12. Let j = 3 + r. Let l(o) = -7*o**2 + o - 7. Let z(s) = j*l(s) - 5*a(s). Factor z(t).
-2*(t + 1)**2
Let n(y) = -3*y**3 + 3*y**2 + y - 2. Let c be n(2). Let d be c/105 - 4/(-10). Factor d*m**2 + 2/7*m - 4/7.
2*(m - 1)*(m + 2)/7
Factor 24/7 - 30/7*x**2 - 18/7*x**3 + 24/7*x.
-6*(x - 1)*(x + 2)*(3*x + 2)/7
Factor 5 + 6 - 17 + 3*s**2 - 3*s.
3*(s - 2)*(s + 1)
Let j(y) be the second derivative of -y**7/1260 - y**6/180 - y**5/60 - y**4/36 - y**3/36 - 4*y**2 - 9*y. Let x(k) be the first derivative of j(k). Factor x(d).
-(d + 1)**4/6
Let d = 2 + -5. Let s be 4 - d/6*-4. Determine j so that j**5 + j**3 + s*j**4 + 7 - 7 = 0.
-1, 0
Suppose 0 = 5*b - b - 16. Suppose -r - 3 = -2*j, -b*j - 1 + 19 = 2*r. Find g, given that 0*g + 3/4*g**4 + 3/4*g**5 - 3/4*g**2 + 0 - 3/4*g**r = 0.
-1, 0, 1
Let z = -597 - -597. Factor z + 1/2*h + 1/4*h**2.
h*(h + 2)/4
Suppose 10 = h - 5*a, -5*h + 4*a + 10 = 2. Factor f**2 + 0*f + h - 2 + f.
(f - 1)*(f + 2)
Let k be (-3 - 6)/((-9)/12). Factor u**3 + 4*u + k*u**2 + 3*u**3 + u**4 + u**3 - 4*u**2.
u*(u + 1)*(u + 2)**2
Let l(k) = -9*k**3 - k**2 - 2*k - 1. Let g = 3 - 4. Let p be l(g). Let -q**3 + 5*q**5 - 3*q**5 - q**4 + p - 9 = 0. What is q?
-1/2, 0, 1
Let b(c) be the first derivative of c**4/2 + 10*c**3/3 + 7*c**2 + 6*c - 3. Factor b(r).
2*(r + 1)**2*(r + 3)
Suppose f - 2 = 3. Factor 0*g**2 - f*g**2 + 4*g - 11*g**2 + 7*g**3.
g*(g - 2)*(7*g - 2)
Suppose 0 = 6*n - 9 - 3. Let a(g) be the third derivative of 0*g + 0*g**3 + 1/30*g**5 + 0 + n*g**2 - 1/12*g**4. Solve a(w) = 0.
0, 1
Let n = -1939/2 - -952. Let h = n + 18. Determine c so that 0 + 1/2*c**2 + h*c = 0.
-1, 0
Let f(v) be the first derivative of -2*v**3/33 + 2*v**2/11 + 9. Determine a, given that f(a) = 0.
0, 2
Suppose 0*s + 6 = s. Suppose -2*y**2 + 0*y + s*y - 8*y + 4 = 0. Calculate y.
-2, 1
Let k(r) be the first derivative of -4*r**5/5 - r**4 + 12*r**3 - 22*r**2 + 16*r + 10. Factor k(u).
-4*(u - 1)**3*(u + 4)
Let y = -35/4 - -527/60. Let s(v) be the first derivative of 1/4*v**4 + y*v**6 + 0*v**2 + 4/25*v**5 - 2 + 0*v + 2/15*v**3. Factor s(x).
x**2*(x + 1)**2*(x + 2)/5
Suppose -5*x + 6 = -2*l, -3*x + 5 = -2*l - 1. Let a(n) be the first derivative of -2/21*n**3 - 2 + 2/7*n + x*n**2. Factor a(m).
-2*(m - 1)*(m + 1)/7
Let m be 112/294*(-3)/(-2). Let -4/7*z**3 - 2/7*z**4 + 2/7*z**2 + m*z + 0 = 0. What is z?
-2, -1, 0, 1
Let x(n) be the second derivative of 0 + 1/7*n**2 + 3*n + 2/21*n**3 + 1/42*n**4. Factor x(g).
2*(g + 1)**2/7
Let i(h) = -h**2 - h + 11. Let s be i(0). Determine d so that -s*d + 7*d + 4*d**3 + d**2 + d**2 - 2 = 0.
-1, -1/2, 1
Let x(w) be the second derivative | {
"pile_set_name": "DM Mathematics"
} |
p**2. Let g(m) = 606*m**2 + 4. Give o(g(v)).
367236*v**4 + 4848*v**2 + 16
Let q(o) = 88842*o**2. Let a(f) = -41*f - 2. Calculate a(q(i)).
-3642522*i**2 - 2
Let l(u) = 2*u + 4. Let o(p) = -3*p**2 - 9*p + 460. Calculate o(l(d)).
-12*d**2 - 66*d + 376
Suppose -15 = 2*b + 6*w - 9*w, -b - 1 = 5*w. Let y(i) = 48*i + 11. Let r(z) = -25*z - 6. Let h(l) = b*y(l) - 11*r(l). Let g(a) = 3*a**2. Determine h(g(c)).
-39*c**2
Let j(a) = 2*a**2. Let f(x) be the first derivative of -1312*x**2 - 1833. What is f(j(v))?
-5248*v**2
Let j(u) be the second derivative of -3 + 0*u**3 + 3/4*u**4 + 0*u**2 + 15*u. Let r(h) = 5*h**2. What is r(j(m))?
405*m**4
Let d(t) = 8*t + 145. Let w(r) = 2*r + 36. Suppose 0 = 9*u - 63 - 18. Let y(b) = u*w(b) - 2*d(b). Let h(o) = -o**2. Calculate h(y(j)).
-4*j**2 - 136*j - 1156
Suppose -o - 3*z = -16, -z = 2*z - 6. Let d be o + -5 + 4*1. Let n(b) = 3*b - 8*b + d*b. Let v(r) = 3*r**2. Determine n(v(a)).
12*a**2
Let i(k) = 2*k - 140. Let s(b) = 2*b**2 + 2*b + 33157. Give i(s(a)).
4*a**2 + 4*a + 66174
Let o(u) = u**2. Let q(g) be the first derivative of -3*g**3 - 20 + 0 - 20. Calculate o(q(p)).
81*p**4
Let w(d) = -4*d**2 - 4*d + 4. Let n(u) = 21*u**2 + 22*u - 22. Let b(p) = -2*n(p) - 11*w(p). Let s(c) = -1050*c**2. What is b(s(z))?
2205000*z**4
Let q(k) be the second derivative of -13*k**4/6 - 1306*k. Let p(a) = -27*a. Calculate p(q(y)).
702*y**2
Let u(f) = -f + 42. Let a(o) = 270638*o. Determine u(a(h)).
-270638*h + 42
Let c(p) = -202888*p + 624. Let g(v) = v. What is c(g(k))?
-202888*k + 624
Let z(n) be the first derivative of -66*n**3 - 795. Let g(h) = 6*h**2. What is z(g(k))?
-7128*k**4
Let i(g) = g + 11. Let r be i(-8). Suppose -9 + 3 = -r*o. Let h(k) = 3*k**o - 10 + 7 + 3. Let l(u) = -3*u. What is l(h(s))?
-9*s**2
Let x(f) be the third derivative of 17*f**5/30 - 74*f**2. Let u(r) = 78*r. Give x(u(p)).
206856*p**2
Let g(j) = 44 + 2*j - 3*j - 44. Let c(x) = -2*x**2 + 10*x. Let k(o) = -c(o) - 10*g(o). Let n(f) = 7 + 29*f - 7. Determine n(k(b)).
58*b**2
Let i(c) = -34*c. Let k(v) = 5*v. Let r(j) = -1. Let a(p) = 17*p + 4. Let s(b) = -a(b) - 4*r(b). Let z(d) = -21*k(d) - 6*s(d). Determine z(i(h)).
102*h
Let t(p) = 1393 - 5*p - 2799 + 1402. Let s(j) = 23*j**2. Determine t(s(w)).
-115*w**2 - 4
Let r be (-4)/11*-8 + (-16)/(-176). Let c(n) be the first derivative of 0*n**2 + 0*n + 1/3*n**r - 6. Let d(q) = -70*q. Determine d(c(x)).
-70*x**2
Let a(k) = k - 50. Let m(f) = f - 40. Let q(l) = -4*a(l) + 5*m(l). Let g(r) = -2*r. Calculate q(g(j)).
-2*j
Let n(j) be the first derivative of -j**3/3 + 4. Let d(v) = -16. Let x(s) = s + 12. Let y(b) = 3*d(b) + 4*x(b). Determine y(n(w)).
-4*w**2
Let u(d) = 3*d**2. Let q(k) be the first derivative of 57*k**2 - 2*k - 2323. What is u(q(n))?
38988*n**2 - 1368*n + 12
Let b(g) = 2*g**2 + 2*g**2 + 8*g**2 + 0*g**2 - 9*g**2. Let o(y) = 3*y - 40. What is b(o(w))?
27*w**2 - 720*w + 4800
Let p(g) be the third derivative of -13*g**8/20160 + g**5/15 - g**3/6 - 19*g**2. Let w(o) be the third derivative of p(o). Let h(t) = t. What is w(h(f))?
-13*f**2
Let z(l) = -15*l**2. Let j(v) = 4875*v**2 + 40*v. Calculate j(z(m)).
1096875*m**4 - 600*m**2
Let n(a) = -2*a. Let p(r) be the first derivative of -4/3*r**3 + 0*r**2 - 161 + 0*r. Calculate n(p(c)).
8*c**2
Let l(b) = 19*b + 76. Let s(d) = 4*d + 10. Let z(m) = -l(m) + 5*s(m). Let f(n) = -8*n**2. Give f(z(p)).
-8*p**2 + 416*p - 5408
Let n(b) be the second derivative of 0 + 19*b + 5/6*b**4 + 0*b**3 + 0*b**2. Let z(f) = 2*f**2 - 8 + 10 - 2. Calculate z(n(o)).
200*o**4
Let z(a) = 3*a**2. Let d(y) = -952*y + 85. Let l(h) = -3*h - 2 + 9*h + 28*h - 1. Let n(j) = -3*d(j) - 85*l(j). Give n(z(x)).
-102*x**2
Let c(q) be the first derivative of 10*q**3/3 - 157*q**2/2 - 2299. Let r(m) = m. Give c(r(s)).
10*s**2 - 157*s
Let r(t) = 5*t - 168. Let i(y) = 106 - 34 - 35 - 37 - y**2. Calculate i(r(h)).
-25*h**2 + 1680*h - 28224
Let q(f) = 7659*f + 2. Let c(u) = 135*u. Determine q(c(a)).
1033965*a + 2
Let j(t) = 38*t. Let x(d) = d**3 + 9*d**2 + 2*d + 20. Let a be x(-9). Let v(s) be the first derivative of 0*s + 23 - 1/3*s**3 + 0*s**a. Determine j(v(u)).
-38*u**2
Let k(v) = v. Let d(l) = 83266*l**2 - 8*l + 46. Calculate d(k(x)).
83266*x**2 - 8*x + 46
Let t(w) = 19*w + 11. Let o(c) be the second derivative of -c**4/4 - 1543*c. Determine t(o(v)).
-57*v**2 + 11
Let s = -29 - -33. Let z be (-1 - s/8)*2852/(-6). Let r(m) = -z + m**2 + 713. Let h(p) = 2*p. What is r(h(c))?
4*c**2
Let j(w) = -2*w**2. Let a(n) = 23*n - 5. Let v(f) be the first derivative of -12*f**2 + 6*f - 75. Let r(y) = -6*a(y) - 5*v(y). Determine r(j(p)).
36*p**2
Let b(c) = -3*c**2 - 326*c + 326*c. Let t(l) = 11*l - 27*l + 16*l + 13*l**2. Give b(t(n)).
-507*n**4
Let r(q) = -118718492*q**2. Let y(a) = 2*a**2. Calculate r(y(v)).
-474873968*v**4
Let y(b) = 1 - 1 + 19*b**2. Let p(n) be the second derivative of -n**4/4 - 13*n - 193. What is p(y(h))?
-1083*h**4
Let v(f) = -6*f**2 - 13432789. Let n(u) = -u. Give v(n(o)).
-6*o**2 - 13432789
Let x(f) = 3*f**2 - 957. Let h(b) = 230*b**2 + 3. What is x(h(c))?
158700*c**4 + 4140*c**2 - 930
Let i(l) = 2*l. Let p(y) = -116278123*y. Calculate p(i(g)).
-232556246*g
Let d(j) be the first derivative of j**2 - 26*j + 5287. Let z(s) = -24*s. Calculate d(z(p)).
-48*p - 26
Let u(c) = -17*c + 61*c + 32*c. Let o(x) be the first derivative of x**3/3 + 46363. Determine u(o(m)).
76*m**2
Let q(r) = 1319*r - 6. Let z(m) = -2*m**2 + 2*m + 288. Give z(q(p)).
-3479522*p**2 + 34294*p + 204
Let n(t) = -2*t. Let k(d) be the first derivative of -d**3 + 10*d - 20 + 13*d**3 - 7*d**3. Let a(z) be the first derivative of k(z). Give n(a(b)).
-60*b
Let i(g) be the first derivative of -g**5/60 - 3*g**2/2 - 69. Let b(n) be the second derivative of i(n). Let w(r) = 21*r - 3. Calculate w(b(v)).
-21*v**2 - 3
Let y(q) = 5*q. Suppose -4*k - 118 = -34. Let s be (13/(-26))/(2/4)*k. Let d(x) = x - 40 + 19 + s. What is d(y(w))?
5*w
Let t(x) = 4*x**2. Let k(b) = -3*b + 10. Let d be k(5). Let c(m) = 2*m**2. Let y(s) = 11*s**2 - 9*s. Let l(z) = d*c(z) + y(z). Determine t(l(h)).
4*h**4 - 72*h**3 + 324*h**2
Let b(o) be the third derivative of -o**7/630 - 7*o**6/720 - 31*o**5/15 + 163*o**2. Let z(p) be the third derivative of b(p). Let r(q) = 4*q. Determine z(r(h)).
-32*h - 7
Let t(p) be the first derivative of -p**6/60 + 55*p**3/3 + 23. Let m(f) be the third derivative of t(f). Let g(q) = -16*q. Determine m(g(z)).
-1536*z**2
Let u(q) = -31*q + 12*q + 20*q. Suppose r + 3*y = 8, -2*y - 7 = -5*r - 1. Let a(k) = r*k - 3*k + 0*k - 2*k**2. Calculate u(a(h)).
-2*h**2 - h
Let q(n) = -11*n. Let p = 66 - 60. Let v(o) = 4*o**2 + 11*o**2 - p*o**2 - o**2. What is v(q(r))?
968*r**2
Let n(z) = -350*z**2 + 182*z**2 - 5 + 81*z**2 + 5 + 81*z**2. Let q(b) = -13*b. Let k(p) = -27*p. Let a = -7 + 2. Let o(u) = a*q(u) + 2*k(u). Determine o(n(r)).
-66*r**2
Let t(m) = 36*m**2 - 7*m - 35. Let z(c) = -4*c**2 + c + 5. Let p(r) = 2*t(r) + 14*z(r). Let q(a) = 0 + 0 - 2*a**2. Give q(p(l)).
-512*l**4
Let x = -9582 - -9582. Let y(d) be the first derivative of 25 + 0*d + x*d**2 - 1/3*d**3. Let m(b) = 2*b**2. Calculate y(m(c)).
-4*c**4
Let k be 2 + 2 + -18 + 1. Let m = -11 - k. Let y(a) = -6*a**m + 7*a**2 + 5*a**2. Let n(u) = -2*u**2. Calculate y(n(d)).
24*d**4
Let c(o) = -11*o. Let h(p) = 120*p. Let f(n) = -56*c(n) - 5*h(n). Let b(m) = 5. Let j(s) = -8*s**2 - 30. Let x(a) = 6*b(a) + j(a). Determine x(f(v)).
-2048*v**2
Let a(j) = 2*j - 189. Let z(h) = 21*h**2 + 21. What is z(a(t))?
84*t**2 - 15876*t + 750162
Let j(f) = 10*f**2 - 2*f. Let q(h) be the first derivative of -51*h**2/2 + 1038. Calculate j(q(c)).
26010*c**2 + 102*c
Let p(s) = -910*s**2. Let l(w) = 83*w + 304. Let c(t) = 175*t + 640. Let u(q) = 19*c(q) - 40*l(q). What is u(p(x))?
-4550*x**2
Let t(r) = r**2. Let w(a) be the first derivative of -26/3*a**3 + 44 + 0*a + 0*a**2. What is w(t(x))?
-26*x**4
Let t(f) = 102*f**2. Suppose 3*y - 4*i - 612 = 0, -y + 2*i = -210 + 4. Let a(x) = 103*x - y*x + 99*x. Give t(a(v)).
408*v**2
Let r(f) = 13047*f**2 + f. Let i(t) = 436*t**2. Determine r(i(p)).
2480182512*p**4 + 436*p**2
Let y(n) = -79*n. Let w(r) = 2665*r - 5315*r - 16 + 16 + 2735*r. Give y(w(u)).
-6715*u
Let f(g) = -g**2. Let v(z) = 1 - z - 4551691*z**2 - 1 + 4551715*z**2. What is f(v(d))?
-576*d**4 + 48*d**3 - d**2
L | {
"pile_set_name": "DM Mathematics"
} |
ve p*d - 3*d = m for d.
-4
Suppose 17*v + 734 = 139. Let k be (2/10)/(7/v) - -5. Solve -7*o - 3 = -k*o for o.
-1
Let l(u) = -u**3 - 7*u**2 - 5*u + 6. Let a be l(-6). Suppose 0 = i + 3*z - 29, -7*i + 2*i - 2*z = -93. Suppose i*p = 34*p - 11*p. Solve 2*k + a + 6 = p for k.
-3
Suppose -106*n + 103*n = -15. Let t = n - 5. Let l = -2 - -4. Solve x - 1 + l = t for x.
-1
Suppose d - 35*d = -4420. Solve 25*u + d = -u for u.
-5
Let w(a) = -a**3 + 18*a**2 + 13*a + 114. Let r be w(19). Solve r = 93*m - 88*m - 30 for m.
6
Let g = -266 + 268. Solve g*x + 36 = 32 for x.
-2
Let n be ((-14)/42)/(1/9). Let p = 13 + n. Solve 15 = -p*l + 15*l for l.
3
Suppose 2*g - 2*p + 2 = 0, 3*g + 0*p - 2*p + 2 = 0. Suppose g = 5*z - 5, 0 = 4*r + 4*z - 2*z - 186. Let w = -40 + r. Solve -2*s - w = -4 for s.
-1
Suppose 3*u = -2*q + 162, -5*q + 57 = u - 10. Suppose 2*p - u = -42. Solve p*b - 20 = -0*b for b.
4
Let b be 270/33 + -2 + (-8)/44. Suppose 0 = -4*j + 2*s + 3*s + 40, -b = -2*j - s. Suppose j*i = -4*p + 27, -p - 2*i + 10 = 1. Solve -5*q = 2 + p for q.
-1
Let u be (-2)/(-7) - (-756)/98. Suppose 15*c - 23 = -u. Solve 4*v = c + 15 for v.
4
Suppose -2*y = -4 - 0. Suppose 0 = -y*w + 5*w - 75. Suppose j - 2*o = w, -4*o - 28 = -5*j + 97. Solve r - 6*r - j = 0 for r.
-5
Let z be (-5)/(10/(-4)) + 15 + (-4 - 8). Solve -14 = -z*c - 9 for c.
1
Let c = 11 + 16. Let x be (1 + 2/(-6))/(9/c). Suppose x*q = -2*j, -2*j - 3*q = -0*j. Solve j*r = -r for r.
0
Suppose -49*h = 52*h - 116*h + 180. Solve h*t - 99 = -27 for t.
6
Let u(c) = 178*c + 4835. Let p be u(-25). Solve -p*w + 42 = -378*w for w.
6
Suppose -u = -0 - 3. Suppose s + 1 = 5. Suppose 19*l = -698 + 793. Solve -l = -s*j + u for j.
2
Let f = -93 - -96. Suppose 0 = -14*j + 15*j + q - 5, -j - f*q + 15 = 0. Solve j = 3*s + 3 for s.
-1
Let l(n) = -5*n - 20. Let q be l(-4). Let x be (q - 1)/((-1)/(-3)). Let o be 3 + 1 - (4 + -1 + x). Solve o*v = v for v.
0
Let m = 3350 - 3345. Let p(f) = 2*f**3. Let y be p(1). Suppose -3*o + 20 - y = 0. Solve m*w = o*w + 5 for w.
-5
Suppose -33458*q - 4578 = -33472*q. Solve -q = -4*j - 355 for j.
-7
Let t(w) = 2*w + 24. Let x be t(-11). Suppose 5*s - 4*r = -3*r + 16, x*s = 3*r - 4. Solve -5*l + s - 9 = 0 for l.
-1
Suppose -33*f - 5*o - 15 = -37*f, 0 = -o - 3. Solve f = g - 45 + 49 for g.
-4
Suppose -14 = -4*d - 2*t, 5*d = t - 5*t + 13. Suppose -d*b + 3*x + 4 - 19 = 0, 5*x = 25. Solve b = -3*n + 2 + 13 for n.
5
Let x be 22 + 1 - (0 + -5). Suppose 5*o + 3 = -3*n, -o = -4*n + x - 9. Let w be n - ((4 - 5)*-2 - 4). Solve -r + w = r for r.
3
Let a be 1/6 + (-1435)/(-30). Suppose -g + a = 38. Suppose m + g*m = 0. Solve -v + 6*v + 5 = m for v.
-1
Let d = 14983 - 14970. Solve d*x = -124 + 98 for x.
-2
Suppose 0 = 10*b - 13*a + 9*a - 1610, a = 0. Solve 3*p = -b + 137 for p.
-8
Let v(o) = -10*o + 270. Let k be (-4)/((-24)/(-18))*(0 - 9). Let t be v(k). Solve 5*p + 144 - 134 = t for p.
-2
Let k be -24*(-160)/(-60)*2/(-8). Suppose 6*t = k + 14. Solve 0*o + t*o = 25 for o.
5
Suppose 166*s = 167*s + 28. Let n be 5 - ((-7)/(-2) + s/56). Solve -n*a = -6*a for a.
0
Let g(m) = 97*m**2 - 88*m - 89. Let c be g(-1). Solve -30*q = -c*q for q.
0
Suppose -76*t = -85*t + 756. Suppose 23*f = 9*f + t. Solve -z - f = z for z.
-3
Let x(c) = 35*c + 222. Let k be x(-6). Solve 20*d + k*d - 64 = 0 for d.
2
Suppose 27*o - 222 - 75 = 0. Solve 0 = -2*j - o*j + 26 for j.
2
Let o = 3016 - 3003. Solve -o = 28*r - 15*r for r.
-1
Suppose 33*q - 29376 = 14*q - 35*q. Solve -q*d + 539*d - 30 = 0 for d.
-6
Let q be (-4)/((-16)/12) - (-1 + 2). Let v be (-92)/(-5) - (-5)/((-25)/q). Suppose 9*s - v = 3*s. Solve -z = s - 8 for z.
5
Let z(u) = -u**3 - u**2 + 38*u + 920. Let b be z(0). Solve 914*f = b*f + 30 for f.
-5
Let k(s) = s**3 - 10*s**2 + 11*s - 5. Let q be k(9). Suppose 11*x - q = -13. Suppose 11*t - 3*t = x. Solve t = -4*a - a - 5 for a.
-1
Suppose 206 - 140 = m. Solve -m + 54 = 6*c for c.
-2
Let s(v) = -v**2 + 116*v - 2037. Let y be s(22). Solve 45*p + 14 = y*p for p.
-1
Suppose q - 13 = -q - 5*k, 3*k - 3 = 0. Suppose -33 = -g - 21. Solve a = q*a - g for a.
4
Let x be -6*(6/45)/((-10)/50). Let i(m) = -3*m. Let n be i(2). Let u be n/(-3) - ((-2 - x) + 2). Solve p + p = -u for p.
-3
Suppose 0 = -3*y + 2*g + 295, -5*y + 2*g = -493 + 4. Suppose 0 = -3*n - 5*l - 142, -3*n + 4*l - y = -0*l. Let m = -39 - n. Solve -s - 3*s = m for s.
0
Let d(m) = 2*m**3 - 10*m**2. Suppose -98 = -10*q - 48. Let l be d(q). Solve -25 = 5*b - l for b.
-5
Let f = -177 - -63. Let y = 122 + f. Solve -y*z = 28 - 4 for z.
-3
Suppose 4 = -6*v + 34. Suppose 0*o = 2*o - v*x + 5, 25 = 5*x. Suppose 5*u + 0*g = -3*g + o, -g = 5*u - 10. Solve 1 = z - u*z for z.
-1
Let a(k) = -k**3 + 7*k**2 + 9. Let y be a(7). Suppose y = -t - 3*m, 2*m + 1 = -7. Suppose 4 + 20 = 4*n. Solve -5*f - n = -t*f for f.
-3
Let i(v) = 370*v**2 + 4808*v - 22. Let z be i(-13). Let l be (0 - (-15)/(-6))*-2. Solve j + l = z for j.
-1
Let l = 5 + -8. Let d be (-21)/l - (-1 + 4). Solve 1 = d*c - 7 for c.
2
Let z be (689/78)/(-53) + (-127)/(-6). Solve z*b = 182 - 77 for b.
5
Let m(j) = -j**3 - j**2 + 1. Suppose -2*t = 3 - 7. Let v be m(t). Let f = v + 28. Solve -f + 8 = 3*o for o.
-3
Suppose 0 = -5*a + 3*m + 903, 3*m - 20 = -8. Suppose 184*o = a*o + 5. Solve -5*h + 5 = -o for h.
2
Let u be 23/((-460)/2320)*(-3)/4. Solve 0 = -u*l + 92*l - 5 for l.
1
Let t be 1/(-2)*((-253696)/448 + (-2)/(-7)). Solve -7*g + t = 290 for g.
-1
Let w be (-15)/(-6)*(-5 - (-126)/30). Let r be (-2)/(((-2)/(-3))/1). Let x be r/w*(11 + -9). Solve 2 = 5*k - x for k.
1
Suppose 3*p = -5*o, 3*o + 2*o = p. Let h(d) = 47*d**2 + 12*d + 23. Let k be h(-3). Let w = k - 395. Solve p = b - 4*b + w for b.
5
Suppose q = 731*u - 734*u - 20, 5*q = -10*u - 60. Let h = 50 + -11. Suppose -6*i + 3*i + l = -h, 3 = -l. Solve -4*f - q - i = 0 for f.
-4
Let i = -4852 - -4942. Solve -i*v = -98*v - 8 for v.
-1
Let f(o) = 140*o**2 - 141*o**2 + 17 - 11*o + 40 - 10*o. Let x be f(-22). Solve 11*m - 90 = -x for m.
5
Suppose -24*h + 899 = -4*h + 9*h. Solve -8*o - h*o = 78 for o.
-2
Suppose 160*x - 85*x + 450 = 80*x. Solve -x*q = -86*q + 12 for q.
-3
Let y = 2 - -1. Let q(i) = i**3 - 15*i**2 - 73*i + 33. Let f be q(18). Let a = f - -326. Solve a = -y*t + 5 for t.
-4
Suppose y + h = 0, 4*y - 2*h = 3*h + 36. Suppose 4*c = y + 4. Solve 0 = -4*l + c*l + 8 for l.
4
Let t be 20/(-80) + 11922/8. Solve 0 = 4*l - 1494 + t for l.
1
Suppose -21*j - 4*j = 100. Let y be (-1)/(3/(-6)) - j. Solve 2*l - y = -0 for l.
3
Suppose 5*b - 3*y - 28 = 0, 10*b = 14*b - 4*y - 16. Suppose -5*p + 23 = a - b, -2*a - 5*p = -37. Solve -27*s = -24*s + a for s.
-2
Let z(k) = -k**2 + 3*k + 2. Let v(c) = -4*c - 5. Suppose 4*j + 2 = -6. Let n be v(j). Let g be z(n). Solve -7*t + g*t = 0 for t.
0
Let o = -3035 - -3086. Solve 0 = -11*k - 6*k + o for k.
3
Let r(o) = o**3 - 49*o**2 + 52*o - 169. Let i be r(48). Solve -i*a - 95 = -26 for a.
-3
Let f = 1679 + -1669. Solve 11*w + f*w - 126 = 0 for w.
6
Suppose 6*r - 12 = 18. Let w be -32 - -27 - (r + -1). Let z(u) = u**3 + 10*u**2 + 9*u. Let c be z(w). Solve 3*l + 13 + 2 = c for l.
-5
Suppose 4*n + 434 = -3*c - 1306, -3*n - 2*c = 1306. Let l = n + 443. Solve l*t = t + 4 for t.
1
Suppose -7*t - 136 = -5*t. Let y = -108 - t. Let v = -40 - y. Solve v = 4*z + 7 + 1 for z.
-2
Let r = -4589 + 4596. Solve 17*y = -r*y for y.
0
Let d(a) = 11*a**2 + 6*a - 7. Suppose -8 - 10 = -18*w. Let k be d(w). Solve 0*t = -5*t + k for t.
2
Let r be (7*18)/3 + (-8 - -8). Suppose 3*c - c = -r. Let k be (-7)/(c/18) + (0 - 0). Solve 2*g = k*g + 12 for g.
-3
Let s be (-9)/(-36) + 1/(-4). Let b(c) = -c**2. Let z be b(s). Suppose 0 = 539*w - 531*w - 16. Solve -w*x = -z*x for x.
0
Suppose -4*t = 4, -194 = -5*i - 4*t + 192. Suppose 73*q = i*q - 25. Solve -14 = -q*p + 6 for p.
4
Suppose 0 = w + 2*c - 27, 3*w - 5*w + 27 = -5*c. Let p(v) = -v**2 + 21*v + 1. Let y be p(w). Let j be 3/2*y/(6/4). Solve -2*i = 3 + j for i.
-2
Let f be (-14 + 13)*((-16)/(-4))/(-2). Suppose 0 = 3*d - 5*s - 9, -f*d = s - 8 + 2. Solve -7*w = d*w + 50 for w.
-5
Let h = -4634 - -4663. Solve -17*j + 39 = -h for j.
4
Let k = 58 + -53. Suppose i + 12 = k*i. Suppose -8*g = -11*g + i. Solve -3 = z + g for z.
-4
Suppose 4*f - 4 = -28. Let k be (f/8)/(1 + 30/(-24)). Solve -16 = k*r - 1 for r.
-5
Let b(a) = -a**3 + 2*a**2 - 4*a - 1 | {
"pile_set_name": "DM Mathematics"
} |
ivide 145495854?
False
Is 57522804 a multiple of 221?
False
Is 7 a factor of 1934044?
True
Does 233 divide 19174151?
False
Does 8 divide 79726260?
False
Does 133 divide 4106724790?
True
Is 31587878 a multiple of 34?
False
Does 161 divide 1445607891?
True
Does 67 divide 12237416?
True
Is 941470055 a multiple of 6?
False
Does 48 divide 732969673?
False
Does 1934 divide 146274222?
True
Is 35 a factor of 65674055?
False
Is 3 a factor of 4611370?
False
Does 10 divide 18914074?
False
Does 7214 divide 929604883?
False
Is 1913 a factor of 22524646?
False
Is 12 a factor of 71227560?
True
Is 433 a factor of 59301510?
False
Is 93896121 a multiple of 111?
True
Is 345 a factor of 1785987030?
True
Does 13 divide 240000462?
True
Is 36441957 a multiple of 24?
False
Is 991449486 a multiple of 6?
True
Does 208 divide 94680352?
True
Is 909 a factor of 27779442?
False
Does 929 divide 155223418?
False
Is 37389168 a multiple of 53?
True
Is 20 a factor of 89389480?
True
Does 255 divide 431069690?
False
Is 86 a factor of 1527211021?
False
Does 787 divide 1360391260?
False
Does 989 divide 1014512748?
False
Is 386 a factor of 64409999?
False
Is 5952930610 a multiple of 23?
True
Is 18 a factor of 374346266?
False
Is 761125839 a multiple of 240?
False
Is 1037 a factor of 36451373?
False
Is 657 a factor of 22241421?
True
Does 159 divide 2046171?
True
Does 494 divide 207141116?
True
Is 33109729 a multiple of 193?
True
Does 11 divide 14639449?
True
Is 74491053 a multiple of 3783?
True
Does 13 divide 409448008?
False
Is 1171099478 a multiple of 170?
False
Does 14 divide 17056919?
False
Is 15 a factor of 17668846?
False
Does 28 divide 184392731?
False
Is 3296 a factor of 17462649?
False
Is 308 a factor of 293623026?
False
Does 249 divide 2853090425?
False
Does 43 divide 2926711064?
True
Is 648 a factor of 175841280?
True
Does 8 divide 13462796?
False
Is 179 a factor of 81175426?
True
Is 22 a factor of 30902094?
False
Is 765 a factor of 1027676520?
True
Is 26252096 a multiple of 278?
True
Does 73 divide 30710589?
True
Is 3911653 a multiple of 109?
False
Is 1557 a factor of 27129272?
False
Does 24 divide 23100792?
True
Does 53 divide 1166518576?
False
Does 107 divide 13261977?
False
Is 14468490 a multiple of 3?
True
Is 6 a factor of 33407139?
False
Does 78 divide 366198222?
True
Is 1511625855 a multiple of 9285?
True
Does 379 divide 28448119?
True
Is 2299314584 a multiple of 2872?
True
Is 8158294 even?
True
Is 43744220 a multiple of 15?
False
Does 718 divide 78331243?
False
Is 112665389 a multiple of 2354?
False
Is 6114297 a multiple of 21?
True
Is 56 a factor of 55891752?
True
Is 88968472 a multiple of 16077?
False
Is 195 a factor of 9026774?
False
Does 735 divide 1360091322?
False
Is 9 a factor of 56318286?
False
Is 395 a factor of 32126930?
True
Does 1344 divide 46372032?
True
Is 45 a factor of 34515900?
True
Is 1839905596 a multiple of 1199?
False
Is 19747248 a multiple of 48?
True
Is 1369545812 a multiple of 85?
False
Does 7 divide 843816403?
False
Is 3536911885 a multiple of 20?
False
Is 11 a factor of 26638129?
False
Does 672 divide 388722432?
True
Is 1118765540 a multiple of 452?
True
Is 25 a factor of 27187250?
True
Is 12148747 a multiple of 43?
True
Is 187178285 a multiple of 578?
False
Is 853 a factor of 130583211?
True
Is 112 a factor of 106699934?
False
Does 1294 divide 297239288?
False
Is 9 a factor of 59687957?
False
Is 130850500 a multiple of 6430?
True
Does 35 divide 99578606?
False
Is 147 a factor of 274020621?
False
Is 57021149 a multiple of 1362?
False
Is 505408000 a multiple of 10?
True
Does 299 divide 3613346828?
True
Is 659850 a multiple of 113?
False
Is 26 a factor of 31780996?
True
Is 168324816 a multiple of 11?
True
Does 841 divide 260703465?
False
Is 20499619 a multiple of 7?
True
Is 422242490 a multiple of 925?
False
Is 37267853 a multiple of 1897?
False
Is 49 a factor of 1130697393?
True
Is 82 a factor of 518199984?
True
Is 26 a factor of 15138006?
True
Is 60635916 a multiple of 36?
True
Does 202 divide 10526303?
False
Does 188 divide 897077697?
False
Is 366550316 a multiple of 4706?
False
Is 11 a factor of 46764850?
True
Is 148356375 a multiple of 3917?
True
Does 13 divide 2850700164?
True
Does 327 divide 17146993?
False
Is 61458911 a multiple of 2?
False
Is 463655703 a multiple of 41?
False
Does 45 divide 1323620?
False
Is 320 a factor of 29859520?
True
Is 67 a factor of 8504963?
False
Does 39 divide 20068347?
True
Is 431706044 a multiple of 308?
True
Is 1525 a factor of 70472187?
False
Is 1707990765 a multiple of 1105?
True
Is 42068831 a multiple of 8?
False
Does 1973 divide 16354197?
True
Is 47 a factor of 2544197420?
True
Is 515 a factor of 75938810?
True
Is 339542126 a multiple of 1022?
True
Is 291 a factor of 13024578?
True
Is 56727396 a multiple of 682?
True
Does 6845 divide 166169220?
True
Is 524052961 a multiple of 23?
False
Is 509 a factor of 323692528?
False
Does 467 divide 25371643?
True
Is 471435575 a multiple of 65?
True
Does 224 divide 84072352?
True
Is 1639934380 a multiple of 461?
False
Is 78 a factor of 44691660?
True
Is 303895151 a multiple of 7?
True
Is 2448600 a multiple of 420?
True
Is 73 a factor of 2801448?
True
Is 3 a factor of 365942853?
True
Is 40548399 a multiple of 3?
True
Is 1370643 a multiple of 324?
False
Does 48 divide 1664358960?
True
Is 1720538699 a multiple of 178?
False
Is 23989920 a multiple of 1104?
True
Is 3545385 a multiple of 20?
False
Is 3433779894 a multiple of 138?
True
Is 33854303 a multiple of 292?
False
Is 328452474 a multiple of 12?
False
Is 40421628 a multiple of 18?
True
Is 60237697 a multiple of 331?
True
Is 4 a factor of 63709604?
True
Is 438 a factor of 557885418?
True
Does 41 divide 146671919?
False
Is 15933597 a multiple of 30?
False
Is 14310441 a multiple of 135?
False
Is 94 a factor of 30983770?
False
Does 21 divide 1479173010?
True
Is 885364641 a multiple of 357?
True
Does 63 divide 15614496?
False
Is 73 a factor of 85658127?
True
Is 955494265 a multiple of 16?
False
Does 5 divide 315591065?
True
Is 1528 a factor of 32907008?
True
Is 251411977 a multiple of 3104?
False
Is 91038450 a multiple of 150?
True
Is 24020448 a multiple of 12?
True
Is 29303088 a multiple of 6?
True
Is 82 a factor of 155800492?
True
Is 829 a factor of 3197683153?
False
Is 1077 a factor of 6497541?
True
Does 309 divide 18676359?
False
Is 1499892021 a multiple of 106?
False
Is 151 a factor of 6595633?
False
Is 72514896 a multiple of 492?
True
Is 73 a factor of 416821724?
False
Is 791934635 a multiple of 61?
True
Is 233174295 a multiple of 1207?
True
Is 328699700 a multiple of 1604?
True
Does 1198 divide 3007785876?
False
Does 1678 divide 225256736?
False
Is 1657 a factor of 814301167?
True
Does 97 divide 102193674?
False
Is 1139450188 a multiple of 494?
False
Does 8 divide 433481286?
False
Is 15 a factor of 74423640?
True
Is 991658318 a multiple of 104?
False
Is 183607431 a multiple of 133?
True
Is 6 a factor of 17533529?
False
Does 746 divide 33042515?
False
Is 1627484682 a multiple of 22?
False
Is 330994099 a multiple of 9?
False
Is 1543112838 a multiple of 78?
False
Does 2 divide 9815846?
True
Does 64 divide 218953664?
True
Is 56 a factor of 7937969984?
True
Does 34 divide 1894820?
True
Is 9202645 a multiple of 215?
True
Is 3819809 a multiple of 320?
False
Does 30 divide 402510052?
False
Is 4 a factor of 20404353?
False
Does 38 divide 96638740?
False
Is 11 a factor of 295804817?
True
Is 462422145 a multiple of 1635?
True
Is 8 a factor of 2334959029?
False
Does 79 divide 26514269?
False
Does 56 divide 106247910?
False
Is 2991063708 a multiple of 36?
True
Is 99 a factor of 38801018?
False
Does 13 divide 198251159?
False
Does 605 divide 506361405?
True
Is 12 a factor of 182939111?
False
Does 6 divide 412182?
True
Is 61 a factor of 298456774?
True
Is 2402899568 a multiple of 287?
False
Is 133281617 a multiple of 31?
True
Does 2 divide 6087767?
False
Is 268719745 a multiple of 15?
False
Is 153 a factor of 12299976?
True
Is 6 a factor of 52645818?
True
Is 18 a factor of 11289745?
False
Is 6332 a factor of 530096044?
True
Does 189 divide 6340557?
False
Is 116256110 a multiple of 1628?
False
Does 167 divide 65937111?
True
Is 15 a factor of 7908029?
False
Is 98418347 a multiple of 4313?
True
Is 10064775 a multiple of 105 | {
"pile_set_name": "DM Mathematics"
} |
djhfhxfhhhjb?
1/78
Calculate prob of picking 1 j, 1 a, and 1 c when three letters picked without replacement from {c: 2, t: 2, a: 1, p: 1, j: 1}.
2/35
Two letters picked without replacement from gspppigpppppgpsp. Give prob of picking 2 g.
1/40
Two letters picked without replacement from cccxcxxxxccccxccxxcx. Give prob of picking 2 x.
18/95
What is prob of picking 1 o and 1 u when two letters picked without replacement from {m: 2, o: 2, u: 8, h: 4}?
2/15
What is prob of picking 1 f, 1 o, 1 x, and 1 u when four letters picked without replacement from {x: 2, t: 1, f: 1, n: 1, u: 2, o: 1}?
2/35
Two letters picked without replacement from cogcxygggpppyoc. Give prob of picking 1 c and 1 g.
4/35
Three letters picked without replacement from {l: 3, q: 4, d: 6}. What is prob of picking 2 d and 1 q?
30/143
Four letters picked without replacement from nhhaacchcnniahinih. Give prob of picking 2 a and 2 c.
1/340
Two letters picked without replacement from {k: 3, b: 1, f: 5, z: 7}. Give prob of picking 2 f.
1/12
What is prob of picking 4 t when four letters picked without replacement from tktktttttkkttttk?
33/182
Four letters picked without replacement from {y: 7, d: 2, z: 1}. Give prob of picking 1 d, 1 z, and 2 y.
1/5
Three letters picked without replacement from {u: 7, m: 4, x: 2, o: 2, z: 4, w: 1}. What is prob of picking 1 w and 2 m?
1/190
Calculate prob of picking 1 m and 1 r when two letters picked without replacement from hmrrrhhmhrmrmhmb.
5/24
What is prob of picking 1 j and 2 z when three letters picked without replacement from tttzztotzjttoizt?
3/280
Four letters picked without replacement from begvvneii. What is prob of picking 1 e, 1 b, 1 v, and 1 n?
2/63
Four letters picked without replacement from {y: 9, f: 1, l: 6, p: 1}. What is prob of picking 1 y and 3 l?
9/119
Calculate prob of picking 1 j, 1 d, 1 f, and 1 z when four letters picked without replacement from gpfjpfjzd.
2/63
Four letters picked without replacement from eeeeeeeeeeqee. Give prob of picking 4 q.
0
Two letters picked without replacement from gcd. What is prob of picking 1 d and 1 g?
1/3
Calculate prob of picking 1 c and 1 t when two letters picked without replacement from {t: 5, c: 1, r: 5}.
1/11
What is prob of picking 1 v and 3 o when four letters picked without replacement from {o: 5, c: 1, v: 5}?
5/33
What is prob of picking 2 p when two letters picked without replacement from pppppkppk?
7/12
Three letters picked without replacement from {l: 3, o: 11, a: 1}. Give prob of picking 3 l.
1/455
Calculate prob of picking 2 k, 1 o, and 1 x when four letters picked without replacement from {b: 3, x: 1, o: 1, j: 2, y: 1, k: 3}.
1/110
What is prob of picking 1 n, 1 i, 1 h, and 1 m when four letters picked without replacement from ghimhhnmrmmh?
16/495
Two letters picked without replacement from hhh. What is prob of picking 2 h?
1
Two letters picked without replacement from {f: 5, o: 3, r: 3}. Give prob of picking 1 o and 1 f.
3/11
Calculate prob of picking 3 z when three letters picked without replacement from zzzzz.
1
Four letters picked without replacement from {f: 1, o: 1, r: 5, z: 8, i: 5}. What is prob of picking 1 f and 3 r?
2/969
What is prob of picking 1 y, 1 u, and 2 w when four letters picked without replacement from uuwuuwuuuuwpyweeywey?
16/323
What is prob of picking 1 l and 1 a when two letters picked without replacement from {g: 2, o: 2, a: 3, l: 2}?
1/6
Two letters picked without replacement from {k: 1, b: 1, p: 1, y: 1, q: 3}. Give prob of picking 1 y and 1 p.
1/21
Four letters picked without replacement from ppppccpcpcpc. Give prob of picking 2 c and 2 p.
14/33
Calculate prob of picking 4 m when four letters picked without replacement from {b: 14, m: 5}.
5/3876
Four letters picked without replacement from ggggqgaugapua. What is prob of picking 3 p and 1 g?
0
What is prob of picking 3 p and 1 a when four letters picked without replacement from ppkafkfpkkp?
2/165
Two letters picked without replacement from {o: 2, j: 1}. Give prob of picking 2 o.
1/3
Calculate prob of picking 2 m, 1 f, and 1 a when four letters picked without replacement from {f: 8, t: 4, m: 3, a: 2}.
12/595
Calculate prob of picking 2 n when two letters picked without replacement from xxxnxn.
1/15
What is prob of picking 1 m and 2 x when three letters picked without replacement from {w: 1, m: 4, l: 1, x: 5, v: 4, y: 4}?
40/969
Four letters picked without replacement from llcllcggc. What is prob of picking 4 l?
1/126
Calculate prob of picking 2 g and 2 j when four letters picked without replacement from jggjggjgjg.
3/7
Four letters picked without replacement from rmomrlvvrv. Give prob of picking 2 m and 2 v.
1/70
What is prob of picking 2 l when two letters picked without replacement from lkkklkk?
1/21
Three letters picked without replacement from doomroy. What is prob of picking 2 o and 1 y?
3/35
What is prob of picking 2 o and 1 w when three letters picked without replacement from {w: 2, s: 1, o: 2}?
1/5
Three letters picked without replacement from {d: 1, v: 2, c: 2, y: 1}. What is prob of picking 1 c and 2 v?
1/10
Three letters picked without replacement from nnnnnndnvwnvn. What is prob of picking 2 n and 1 v?
36/143
Two letters picked without replacement from xxvvvxbxjbyxi. What is prob of picking 1 i and 1 y?
1/78
Two letters picked without replacement from nvv. What is prob of picking 1 n and 1 v?
2/3
Calculate prob of picking 1 q and 1 c when two letters picked without replacement from {h: 7, c: 3, v: 1, n: 2, q: 5}.
5/51
Three letters picked without replacement from {d: 5, s: 6, z: 3, g: 3}. What is prob of picking 2 z and 1 g?
9/680
What is prob of picking 3 e when three letters picked without replacement from emmeeemmemeeee?
3/13
Four letters picked without replacement from {z: 1, j: 6, s: 1, q: 1, p: 3}. Give prob of picking 2 p, 1 z, and 1 q.
1/165
Two letters picked without replacement from fjjjyjyyjjfjy. Give prob of picking 1 j and 1 y.
14/39
What is prob of picking 2 u and 1 v when three letters picked without replacement from {w: 4, u: 10, c: 1, v: 4}?
60/323
Two letters picked without replacement from {o: 1, h: 1, s: 1, e: 1, g: 1}. Give prob of picking 1 s and 1 o.
1/10
Two letters picked without replacement from {t: 3, u: 6, s: 1, p: 9}. Give prob of picking 1 s and 1 u.
2/57
What is prob of picking 2 m and 1 f when three letters picked without replacement from ommfowo?
1/35
Four letters picked without replacement from uucsmfcfcsfmu. Give prob of picking 2 f, 1 c, and 1 s.
18/715
Four letters picked without replacement from {m: 1, g: 8, r: 7, t: 1, j: 2}. What is prob of picking 2 g and 2 r?
49/323
What is prob of picking 1 w and 1 y when two letters picked without replacement from lwejlwjmyllm?
1/33
Two letters picked without replacement from zhhhhjhhjhjhjhwjhzzh. What is prob of picking 2 h?
11/38
Two letters picked without replacement from bxxxhehhimib. What is prob of picking 1 i and 1 m?
1/33
Four letters picked without replacement from hfffhfhnffffhbb. Give prob of picking 2 f and 2 b.
4/195
Three letters picked without replacement from {b: 3, n: 4}. What is prob of picking 3 n?
4/35
Four letters picked without replacement from otootooootooot. Give prob of picking 2 t and 2 o.
270/1001
Calculate prob of picking 2 b when two letters picked without replacement from hhhhhhbbbbbhb.
5/26
Two letters picked without replacement from {f: 1, p: 2, e: 3, h: 4, k: 1}. Give prob of picking 1 h and 1 f.
4/55
What is prob of picking 1 q and 1 n when two letters picked without replacement from nnnmq?
3/10
Four letters picked without replacement from {d: 4, j: 2, w: 1}. What is prob of picking 3 d and 1 j?
8/35
What is prob of picking 1 z and 1 k when two letters picked without replacement from {z: 1, u: 14, k: 2}?
1/68
Calculate prob of picking 2 v and 2 i when four letters picked without replacement from {i: 3, v: 4}.
18/35
Four letters picked without replacement from zzjjjgjzyzjjgj. What is prob of picking 1 g and 3 j?
10/143
Calculate prob of picking 4 q when four letters picked without replacement from qqqqqvqvqkkk.
7/99
What is prob of picking 2 b when two letters picked without replacement from hffbfbffbbfhfhfhfff?
2/57
Two letters picked without replacement from {d: 1, m: 4, v: 1 | {
"pile_set_name": "DM Mathematics"
} |
- 5. Suppose -1 = 4*r + 3*v + 10, -5*r - 34 = -3*v. Let y(k) = -9*k**3 - 5*k**2 + 7*k + 3. Calculate r*l(n) - 8*y(n).
2*n**3 - n + 1
Let o = 106 - 104. Let u(c) = c**2. Let y(v) = -5*v**2 + 2*v - 2. What is o*u(z) + y(z)?
-3*z**2 + 2*z - 2
Suppose 4*l + 15 = -l. Let q(b) = 5*b**2 + 3*b. Let c(y) = -24*y**2 - 14*y. Give l*c(w) - 14*q(w).
2*w**2
Let a be (-23)/5 - (-4)/(-10). Let s(i) = -4*i**2 - 3. Suppose l + 5 = 3*o + 3, 4*o - 5 = l. Let k(x) = -4 + 3 - 4 - l*x**2. Determine a*s(j) + 3*k(j).
-j**2
Let l(g) = 35*g**2 + 2*g. Let r(x) = 840*x**2 + 49*x. Determine 49*l(i) - 2*r(i).
35*i**2
Let v(c) = c - 1. Let u(o) = 13*o - 4. What is -u(s) + 4*v(s)?
-9*s
Let f(d) = d**2 - 6*d - 6. Let j be f(6). Let p(u) = 3*u**2 + 7*u + 7. Let a(s) = -s**2 - 3*s - 3. What is j*p(b) - 14*a(b)?
-4*b**2
Let g(i) = -1. Let d(w) = -w + 3. Give -d(z) + 5*g(z).
z - 8
Let v(u) = 2*u**2. Let c be 18/8 + (-9)/(-12). Let d(w) = 3*w**2 + 1. Give c*d(t) - 5*v(t).
-t**2 + 3
Suppose -5*x - i = 18, -2*i - 1 = 3*x + 7. Let p be 0/(-6) - (0 - -1). Let g = p - x. Let o(z) = 11*z + 8. Let v(b) = -4*b - 3. Calculate g*o(c) + 8*v(c).
c
Suppose 0 = -14*m + 11*m + 18. Let x(h) = -3*h**2 + 6. Let d(j) = j**2 - 1. Give m*d(g) + x(g).
3*g**2
Suppose 0 = 5*c - 25, 0 = -5*v + v + 3*c + 25. Let f be 1/(-2)*-1*v. Let n(h) = -3*h + 5. Let x(y) = 2*y - 4. Give f*x(k) + 4*n(k).
-2*k
Let w(o) = -14*o + 1. Let t(s) = 5*s. What is -11*t(r) - 4*w(r)?
r - 4
Suppose -30*r + 27*r = -15. Let q(u) = -u + 1. Let g(f) = 6*f - 3. Give r*q(p) + g(p).
p + 2
Let t(g) = -91*g**3 + 9. Let w(f) = -45*f**3 + 4. Calculate -4*t(k) + 9*w(k).
-41*k**3
Let s(m) = -9*m**2 - 11*m. Let t(i) = -3*i**2 - 4*i. Suppose -y + 16 = 3*a + 3, 4*a - 2*y - 14 = 0. Determine a*s(u) - 11*t(u).
-3*u**2
Let t(d) = 3*d**3 - 4*d**3 + 0 - 4*d - d**2 + 1 + 3*d. Let a(k) = -2*k**3 - k**2 - 3*k + 5. What is a(r) - 3*t(r)?
r**3 + 2*r**2 + 2
Let g(w) = 4*w**3 + 3*w**2 - 3*w + 1. Let p(l) = 9*l**3 + 7*l**2 - 6*l + 3. Give -7*g(a) + 3*p(a).
-a**3 + 3*a + 2
Let j(g) be the third derivative of -8*g**2 - 1/3*g**3 + 1/24*g**4 + 0*g + 0. Let a(f) be the second derivative of -f**3/6 + f**2/2 - f. Give 3*a(m) + 2*j(m).
-m - 1
Let d(w) = 3*w - 3. Let b be 49/21 - (-4)/6. Let p(k) = 4 + b*k - 6 - 2*k + 1. Determine -d(i) + 2*p(i).
-i + 1
Let r(u) be the second derivative of u**5/60 + u**3 + 12*u. Let a(i) be the second derivative of r(i). Let x(t) = 1 + 3*t - 1. Give 5*a(w) - 4*x(w).
-2*w
Let r(j) = 5*j**2 + 4*j + 6. Let z(q) = -9*q**2 - 8*q - 11. Determine 11*r(x) + 6*z(x).
x**2 - 4*x
Let r(s) = -5*s**2 + 3*s - 1. Let m(f) = 10*f**2 - 5*f + 1. What is 3*m(q) + 5*r(q)?
5*q**2 - 2
Let z(b) = 80*b - 72. Let f(t) = t - 1. Give -144*f(o) + 2*z(o).
16*o
Let f(s) = 2*s**2 + 2*s - 2. Let g(i) = i**2 - 3. Let p be g(3). Let b(t) = p*t**2 + 2*t + 0*t + t - 4*t**2 - 3. What is 2*b(r) - 3*f(r)?
-2*r**2
Let l(o) be the second derivative of o**5/5 + o**4/6 + o**3/3 - o. Let h(p) = -p**3 - p**2 - p - 1. Give -2*h(z) - l(z).
-2*z**3 + 2
Let m(y) = -27 + 3*y - 5*y + 23 - 5*y. Let u(g) = 15*g + 9. Calculate 13*m(n) + 6*u(n).
-n + 2
Let w(i) = -4*i + 3. Let q(j) be the first derivative of -11*j**2/2 + 9*j + 2. Give 6*q(a) - 17*w(a).
2*a + 3
Let u(b) = -9*b + 2. Let m(j) = j. What is -2*m(y) + u(y)?
-11*y + 2
Let m = 108 - 109. Let j(l) = l**3 - l**2 + 1. Let b(u) = -u**2 - 1. Give m*b(h) + j(h).
h**3 + 2
Let d(i) = -6*i**2 - 3*i + 5. Let u(f) = 7*f**2 + 4*f - 6. Give 6*d(x) + 5*u(x).
-x**2 + 2*x
Let h(o) = 11*o**3 - 3*o**2 + 7*o. Let q(c) = -7*c**3 + 2*c**2 - 5*c. What is -5*h(z) - 7*q(z)?
-6*z**3 + z**2
Let q be ((-12)/(-10))/(2 + (-27)/15). Let d(m) = -m**3 + m**2 + 1. Let k(l) = 5*l**3 - 6*l**2 + 2*l - 5. Give q*d(f) + k(f).
-f**3 + 2*f + 1
Let c(j) = 6*j**2 + 3*j - 8. Let m(l) = -5*l**2 - 2*l + 7. Calculate -2*c(r) - 3*m(r).
3*r**2 - 5
Let j(g) = -3*g**2 - 5*g. Let s(q) = -2*q**2 - 3*q. Let w(o) = -10*o + 63. Let p be w(6). Calculate p*j(u) - 5*s(u).
u**2
Let a(k) = 2*k - 1. Let r be a(-3). Let j(z) = -6*z**2 - 4*z - 13. Let u(g) = 2*g**2 + g + 4. Determine r*u(i) - 2*j(i).
-2*i**2 + i - 2
Let v(g) = -4*g - 3. Let b(t) = -11*t - 5. Let l(i) = -21*i - 10. Let m(a) = -7*b(a) + 4*l(a). Let w be 0/2 + (0 - -6). What is w*m(s) - 10*v(s)?
-2*s
Let j(b) = 3*b + 1. Let r(w) = -3*w. Determine -3*j(h) - 4*r(h).
3*h - 3
Let k(i) be the first derivative of -i**2/2 - i - 6. Let a(w) = 3*w**2 + 4*w + 6. Determine a(f) + 4*k(f).
3*f**2 + 2
Let x(r) = -r**2 - r. Let c(z) = z**3 + 7*z**2 + 6*z. Calculate -2*c(h) - 14*x(h).
-2*h**3 + 2*h
Let k(o) = -o**2 + o - 4. Let d(i) = i - 5. Calculate -2*d(r) + 3*k(r).
-3*r**2 + r - 2
Let a(t) be the first derivative of -t**4/4 + t**3/3 - t + 3. Let y(u) = -2*u**3 + 2*u**2 - 5. Calculate 4*a(l) - y(l).
-2*l**3 + 2*l**2 + 1
Let q(x) = 8*x**2 + 11. Let d(m) = 2*m**2 + 3. Let s = 75 - 81. Calculate s*q(g) + 22*d(g).
-4*g**2
Let v(r) = -2*r**2 - r + 2. Let g(c) = c. Determine -5*g(m) + v(m).
-2*m**2 - 6*m + 2
Let u(f) = 2*f - 41. Let m be u(22). Let q(r) be the third derivative of -2*r**2 - 1/3*r**4 + r**m + 0 + 0*r. Let j(v) = 17*v - 13. Give -6*j(x) - 13*q(x).
2*x
Let l(b) = b - 1. Let f(c) = 17*c - 1. What is f(n) - 2*l(n)?
15*n + 1
Suppose l = -3, -4*r = -2*l - 3*l - 83. Suppose 1 = 4*x + r. Let z be (-5)/10 + 18/x. Let u(n) = 4*n - 5. Let s(g) = 5*g - 6. Give z*s(o) + 6*u(o).
-o
Let l(j) = 7*j**3 - 4*j**2 - 7*j + 5. Let t(u) = -u**2 + u. Let x(d) = -6*d**3 - 2*d**2 + 11*d - 4. Let a(q) = -5*t(q) + x(q). Determine 5*a(m) + 4*l(m).
-2*m**3 - m**2 + 2*m
Let y(l) = 7*l - 1. Let m(f) = -11*f + 1. Determine -5*m(k) - 8*y(k).
-k + 3
Let t(y) = -13*y**2 - 4*y - 2. Let j(m) = 27*m**2 + 9*m + 5. Calculate 2*j(v) + 5*t(v).
-11*v**2 - 2*v
Let v(b) = -4*b + 0 - 3*b + 7. Let t(y) = -y + 1. Let o(f) = -f**3 + 5*f**2 + 5*f + 7. Let x be o(6). Give x*v(w) - 5*t(w).
-2*w + 2
Let d(n) = -2*n**3 + n. Suppose -10 = 4*p - 2*a, 20 = -p - p - 4*a. Let h(k) = k**3 - k. Give p*h(x) - 3*d(x).
2*x**3 + x
Let o(f) = 137 - 137 + f. Let x(u) = -u. Suppose -4*a + 2*s = 0, 4*a + 12 - 4 = 4*s. Let v be (a + 1)*4/(-6). Calculate v*o(w) - x(w).
-w
Let h(m) = 136*m**3 + 52*m**2 + 52*m - 52. Let i(o) = -8*o**3 - 3*o**2 - 3*o + 3. Calculate -6*h(c) - 104*i(c).
16*c**3
Let h be (-102)/(-6)*1*-1. Let m(q) = 4*q**3 + 4*q + 6. Let p(n) = -11*n**3 - 11*n - 17. Let j be 150/(-24) - (-1)/4. Give h*m(o) + j*p(o).
-2*o**3 - 2*o
Let t(c) = -c + 1. Let q(l) be the third derivative of -1/3*l**3 + 7*l**2 + 1/12*l**4 + 0 + 0*l + 0*l**5 - 1/120*l**6. Give q(f) + 2*t(f).
-f**3
Let s(i) = 5*i**2 - 8*i - 5. Let k(z) = 14*z**2 - 24*z - 14. What is 4*k(b) - 11*s(b)?
b**2 - 8*b - 1
Let t(z) = -2*z - 2. Let y = 32 - 20. Suppose 3*h = -m + y, -3*h + 2*m = -16 + 4. Suppose -h = f - 2. Let a(c) = c + 1. Give f*t(d) - 5*a(d).
-d - 1
Let f(g) = -6*g + 17. Let o(r) = -2*r + 6. Let b be (1 - 2/(-4))/(3/(-6)). Determine b*f(j) + 8*o(j).
2*j - 3
Let l(f) = -15*f. Let j = 34 - 10. Suppose 0 = 3*h + h - j. Let i(x) = -9*x. Let u(b) = -4*b. Let k(v) = -3*i(v) + 5*u(v). Give h*l(z) + 13*k(z).
z
Let o(n) = n + 1. Let j(b) = -4 - b + 7 - 2*b - 6. Suppose -4*x + 5*x = -2. Calculate x*o(g) - j(g).
g + 1
Suppose 5*l = 2*l + d + 22, 0 = -3*l - 4*d + 32. Suppose l = 5*t - 0*v - v, 6 = 5*t - 2*v. Let f(n) = 4*n. Let x(o) = -3*o. Determine t*f(y) + 3*x(y).
-y
Let j(t) = 4*t**2 + 2*t + 4. Let m be (-2)/(-2) - (2 - 2). Let q be 3/2*(m + 1). Let p(b) = -4 + 2*b + 3*b**2 - 7 + 0*b + 14. Give q*p(s) - 2*j(s).
s**2 + 2*s + 1
Let j(i) = 5*i**2 + 4*i - 2. Let a(d) be the first derivative of 2*d**3 + 5*d**2/2 - 2*d - 2. Let o be -6*(-1)/(-2) + -1 + -1. What is o*j(s) + 4*a(s)?
-s**2 + 2
Suppose p + 2 = 2*p. Let f(z) = -3*z + z - p*z + 1 - 2*z. Let k = -6 - 1. Let d(j) = 5*j - 1. Give k*d(l) - 6*f(l).
l + 1
Let f(j) = -2*j**2 - 5*j + 7. Suppose -3*w - w - 4 = 0. Let d = 3 + w. Suppose -6 = -d*p + 6. Let b(r) = -6*r**2 - 14*r + 20. What is p*b(v) - 17*f(v)?
-2*v**2 + v + 1
Let q(i) = i - 1. Suppose -j = -3*j + 2. Let g(c) = -7*c + 7. Give j*g(l) + 6*q(l).
-l + 1
Let q(z) = 0*z**2 - z**2 + 4*z - 2*z - 2. Let p(y) = -5*y**2 - 16 + 9*y - 10 + 17. Determine -4*p(a) + 18*q(a).
2*a**2
Let t(u) = 2*u + 5. Let v(f) = 1. Let g be 2/8*(4 - 0/5). Calculate g*t(j) - 5*v(j).
2*j
Let x(u) = -6*u - 2. Let m(l) = -31*l - 11. Calculate 4*m(p) - 22 | {
"pile_set_name": "DM Mathematics"
} |
). Suppose n*z - 14 = 12. Suppose 0 = -3*h + 2*a + z, -8 = 3*a - 2. Does 2 divide h?
False
Suppose -u - 1 + 4 = 0. Let m = u - -6. Let g = m + -7. Does 2 divide g?
True
Let h = 16 + -42. Let r be (-66)/(-14) + h/(-91). Suppose 80 = 5*f - r*v, 3*v + v = -4. Is 7 a factor of f?
False
Let w = 64 - -42. Is 10 a factor of w/7 + (-2)/14?
False
Let l = -24 + 26. Suppose l*v = -0*v + 14. Does 2 divide v?
False
Let z(u) = 21*u**2 - 7*u + 38. Does 42 divide z(7)?
False
Let a(g) = g**3 - 3*g**2 - 15*g + 1. Let d be a(7). Suppose -28 = -12*x + d. Does 8 divide x?
False
Let m(p) = 7*p**3 + 16*p**2 + 15*p. Let x(j) = 3*j**3 + 8*j**2 + 7*j. Let c(w) = -2*m(w) + 5*x(w). Is c(-7) a multiple of 4?
False
Let h(x) = 2*x**2 - 17*x - 1. Let y be h(12). Let f = y - 146. Let i = f - -124. Is i a multiple of 15?
False
Let p(q) = 254*q**2 - 18 - 250*q**2 - 20. Is p(-6) a multiple of 17?
False
Suppose 4*k = -2*k + 72. Let v(a) = 12*a - k*a - a**3 - 4 - 4*a**2. Is 22 a factor of v(-6)?
False
Suppose -3*v - 226 = -37. Let s = v - -80. Does 17 divide s?
True
Let t = -152 - -98. Let d(g) = g**3 + 7*g**2 - 7*g + 6. Let l be d(-6). Let y = l + t. Is 17 a factor of y?
False
Suppose 3*t + 5*a - 3 = -2, t + 9 = 3*a. Let m be ((-2)/t)/(8/(-12)). Is 12 a factor of 48*m/((-4)/4)?
True
Suppose 5*c - 4*m = -2*m + 356, -m = 2*c - 137. Does 14 divide c?
True
Let b = -50 + 61. Suppose -75*y + b = -74*y. Is y a multiple of 3?
False
Let h be 3 + (-3 - -3) + 0. Suppose q = h*q + 2*c - 76, c + 44 = q. Is 31 a factor of q?
False
Let m(v) = -v**2 + 3*v + 2. Let o be m(2). Let t be (o + -11)*-1 - 2. Suppose 2*s + 0*a - 160 = 5*a, t*a + 230 = 3*s. Is 14 a factor of s?
True
Let b(t) = 57*t + 1. Let o be b(-1). Suppose 8 = 18*f - 46. Is o*(-2)/(8/f) a multiple of 11?
False
Suppose 0 = 4*m - 7 + 27. Let x = -3 - m. Suppose 0*i = -x*i + 228. Is 41 a factor of i?
False
Let l(t) = -6*t - 11. Let z = -27 + 22. Does 19 divide l(z)?
True
Let y(s) = -s + 2*s + 0 - 3*s**3 + 0. Let b be y(1). Is (4 + b)*(-117)/(-6) a multiple of 11?
False
Let h be (180/25)/2 - 4/(-10). Suppose 5*o + 275 = 5*d, 0 = 2*d - 0*d + h*o - 140. Is 27 a factor of d?
False
Suppose -3*n + 3 = -6. Suppose n*v + 0*v = 12. Is 15 a factor of ((-45)/v)/(4/(-16))?
True
Let f(g) be the second derivative of -7*g**3/3 + 11*g**2/2 + 29*g. Is f(-5) a multiple of 14?
False
Let f(p) = 3*p**3 + 20*p**2 - 8*p - 16. Let c(u) = -3*u**3 - 21*u**2 + 8*u + 16. Let s(o) = -4*c(o) - 5*f(o). Is 33 a factor of s(-7)?
False
Suppose -3*y = y. Suppose y*t = 2*t + 66. Let c = t - -78. Does 15 divide c?
True
Let f be (30/(-4))/(-3)*476/(-170). Let q(s) = 3*s**2 + 5*s + 2. Let h(c) = 10*c**2 + 15*c + 6. Let v(z) = -2*h(z) + 7*q(z). Is 15 a factor of v(f)?
False
Let f = 60 - 37. Suppose 4*r + 1 + f = 0. Let w(m) = -3*m - 5. Is w(r) a multiple of 13?
True
Let f be ((-64)/10)/((-8)/20). Suppose 5*w - f = -6. Suppose 3*i - 99 = -w*x, -3*x + 51 = 3*i - 51. Does 9 divide i?
False
Suppose 2*a = -2*a + o + 9, -4*a = -4*o - 12. Let i = 6 - a. Is 48/i*6/9 a multiple of 8?
True
Is 11 + (1044/9 - -3) a multiple of 5?
True
Is (-3 + 2)*3*(-3640)/30 a multiple of 28?
True
Suppose -30*q = 23*q - 87927. Is q a multiple of 35?
False
Suppose p + 2061 = 4*k + k, 2055 = 5*k + 5*p. Is k a multiple of 14?
False
Let y = 2682 + -1786. Is y a multiple of 77?
False
Let n(p) = 391*p**2 - 13*p - 4. Does 5 divide n(-1)?
True
Let d(i) be the first derivative of i**5/60 + 5*i**4/24 - i**3/2 + i**2 + 7. Let u(f) be the second derivative of d(f). Is 6 a factor of u(-7)?
False
Let r(i) = 4*i + 4. Let u be r(4). Let q = u + 5. Is 11 a factor of q?
False
Suppose -31*s = -28*s + 15. Does 2 divide (1 - 19)*(1 + s/3)?
True
Let i be (2 - 1)/(2 + 15/(-9)). Suppose 0 = a + i*a - 40. Does 10 divide a?
True
Let f(y) = y**3 + 9*y**2 + 9*y + 17. Let t be f(-7). Suppose 0 = 50*u - t*u + 132. Does 6 divide u?
True
Let d be ((-2)/(-5))/((-1 - 2)/375). Let o = d + 142. Is 31 a factor of o?
False
Let x(k) = -1726*k - 2. Let f be x(1). Does 11 divide (-4)/14 - 1*f/21?
False
Let v be 1 + (4 - (2 + 4)). Is 11 a factor of v/8 - 2685/(-40)?
False
Let j(v) = -93*v**3 - 2*v + 3. Let z(r) = 186*r**3 + 3*r - 5. Let k(s) = 5*j(s) + 3*z(s). Is k(1) a multiple of 23?
True
Suppose -4*u + 4 + 16 = 0. Let h(c) = -2*c**3 - 19*c**2 - 8*c + 26. Let r be h(-9). Suppose r - 287 = -u*l. Is l a multiple of 21?
False
Suppose -4*o + 5*q + 98 = 0, -o - 3*q - 75 = -4*o. Does 11 divide (-4)/18 + 2274/o?
False
Let l = -58 + 154. Is 12 a factor of l?
True
Let w(d) = 13*d + 277. Is 3 a factor of w(11)?
True
Suppose 0*a = 3*a - 15. Suppose -a*d + 9 = -16. Suppose -d*h + 86 + 119 = 0. Is h a multiple of 14?
False
Let w = -272 + 829. Does 74 divide w?
False
Let t(j) = -j**2 + 8*j - 1. Let d be t(8). Let l be (-1 - 1)*67/d. Let a = l - 68. Does 33 divide a?
True
Let r be 1 - -1 - (2 - -4). Let x = -73 + 77. Is r/(x - (-172)/(-42)) a multiple of 14?
True
Let o(c) = -139*c - 14. Let q be o(-4). Suppose q = 5*k - 413. Does 41 divide k?
False
Let o = 29 + 98. Is 22 a factor of o?
False
Let w(m) = m**3 + 6*m**2 + 5*m - 7. Let b be 30/(-4) - (-4)/8. Let y be w(b). Let v = 132 + y. Does 11 divide v?
False
Let o(q) = -q**3 - 2*q**2 + 11*q - 1 - 3 - 15*q + 2. Does 3 divide o(-2)?
True
Let y(q) = -1. Let v(h) = 7*h + 18. Let c(o) = -v(o) + 4*y(o). Is c(-14) a multiple of 38?
True
Let m = -534 + 612. Is 39 a factor of m?
True
Let h(k) = -k - 5. Let x be h(-8). Suppose 0 = w - a - a - 88, -x*a - 12 = 0. Let s = w + -17. Does 9 divide s?
True
Let c(y) = 2*y**2 - 7*y - 12. Let g be c(5). Suppose 0 = -0*n - 2*n + 10. Suppose n*i - g*i = 5*j + 17, -4*j - 40 = -4*i. Is 2 a factor of i?
False
Let r = -11 + 13. Suppose -3*y + 2*y = -r*a + 317, 2*a - 3*y = 327. Suppose 0 = -3*k + a - 24. Is k a multiple of 19?
False
Suppose -326 = -3*l - 5*n, 2*n - 3 + 7 = 0. Does 14 divide l?
True
Let k(l) = -5*l**2 - 8*l - 13. Let h(s) = -2*s**2 - 4*s - 6. Let v(n) = 7*h(n) - 3*k(n). Let p be v(4). Does 19 divide (-6)/p - -51 - -4?
True
Suppose -8*i + 931 = -357. Is i a multiple of 7?
True
Suppose 815 - 2921 = -6*l. Suppose 28*m - l = 25*m. Does 9 divide m?
True
Let u be (-55)/4 - 2/8. Let r(m) be the second derivative of -m**3/6 + 2*m**2 + 2*m. Does 9 divide r(u)?
True
Let d(l) = l**2 + 2*l + 2. Let a = -6 - -4. Let u be d(a). Suppose -u*s + 5*s = 6. Is s a multiple of 2?
True
Let m be (46/(-1) + -4)/((-1)/(-1)). Let h = -27 - m. Does 12 divide h?
False
Let i be -1 - 9 - 3 - -1. Let g(r) = -r**3 + 2*r**2 - 5*r - 8. Let b be g(-3). Let s = i + b. Does 18 divide s?
False
Let p(n) = -157*n + 7. Does 23 divide p(-6)?
False
Suppose -14*a + 16*a = 10. Suppose 0*k - 90 = -a*k. Is 4 a factor of k?
False
Suppose -5*o + 5*h + 1645 = 0, 0*h + 326 = o + 2*h. Does 82 divide o?
True
Suppose 3*f + 0*f - 90 = 0. Suppose -8*j + 290 + f = 0. Does 13 divide j?
False
Suppose 4*l - 13 = 7. Suppose -l*m = -3*w - 108, 3*m - w = 13 + 55. Does 4 divide m?
True
Suppose 5*w - 3244 - 1956 = 0. Is 65 a factor of w?
True
Let i = 6 - 0. Let r(c) = 0*c + i + 0*c - c**2 + c + 2*c**2. Is r(0) a multiple of 3?
True
Suppose 2*k - 4*f - 508 = k, 3*f - 983 = -2*k. Does 13 divide k?
False
Let v(a) be the second derivative of 10*a**4/3 + a**3/3 - a**2 + 8*a. Does 10 divide v(1)?
True
Let b(z) = -z**3 + 15*z**2 + 74*z - 38. Is b(-10) a multiple of 21?
True
Let y(w) = w + 1. Let x be y(4). Let c(d) = 8*d**2 - 25*d + 81. Let n be c(4). Suppose -x*q + n = -71. Is q a multiple of 9?
True
Let a(q) = -2*q**2 + 5*q. Let j(m) = 2*m**2 - 5*m - 1. Let z(g) = 2*a(g) + 3*j(g). Does 20 divide z(7)?
True
Suppose 9 - 29 = -5*i. Suppose 3*l + 208 = 3*b + b, -i*b + 228 = 2*l. Does 17 divide b?
False
Let n(f) = 159*f - 1. Let l be n(1). Suppose -d = -5*p + 373, 2*p + 4*d = -0*p + l. Is p a multiple of 25?
True
Suppose 260 = 30*l - 26*l. Let x = 122 - l. Is x a multiple of 25?
False
Let a(p) = 1 + 4 + 7 - 11*p + 10*p. Does 9 divide a(-5)?
False
Let o(a) = 2*a - 34. Let l be o(20). Suppose 153 = l*i - 3*i. Does 4 divide i?
False
Let b be -1 + 7 - (-14)/(-7). Suppose 0 = -x + 4*m - 17, 5*m + 6 = -b*x - 20. Does 8 divide 177/21 + x/21?
True
Suppose 4 = 5*i - m, 0 = -2*i - 4*m - 5 - 11. Suppose i = r - 5*u - 25, 0*r - 4*r - u + 37 = 0. Is r a multiple of 5?
True
Suppose -g - 393 = -h, h - 5*g + 1171 = 4*h. Does 56 divide h?
True
Let n = 2 | {
"pile_set_name": "DM Mathematics"
} |
List the prime factors of 270448.
2, 16903
What are the prime factors of 7028101?
7028101
List the prime factors of 1921821.
3, 11, 58237
List the prime factors of 442735.
5, 88547
List the prime factors of 17736233.
17736233
What are the prime factors of 7736564?
2, 11, 17, 10343
What are the prime factors of 633227?
7, 12923
What are the prime factors of 196746?
2, 3, 11, 271
What are the prime factors of 373875?
3, 5, 997
What are the prime factors of 1138754?
2, 31, 18367
What are the prime factors of 1397862?
2, 3, 77659
List the prime factors of 16215603.
3, 17, 109, 2917
List the prime factors of 1927793.
7, 275399
What are the prime factors of 1285599?
3, 7, 29, 2111
List the prime factors of 8690218.
2, 2039, 2131
What are the prime factors of 718782?
2, 3, 119797
List the prime factors of 883886.
2, 113, 3911
What are the prime factors of 11334060?
2, 3, 5, 139, 151
What are the prime factors of 11452538?
2, 5726269
List the prime factors of 344810.
2, 5, 29, 41
What are the prime factors of 660012?
2, 3, 55001
List the prime factors of 244900.
2, 5, 31, 79
List the prime factors of 1460670.
2, 3, 5, 181, 269
What are the prime factors of 3193704?
2, 3, 44357
List the prime factors of 782586.
2, 3, 7, 6211
What are the prime factors of 1340971?
113, 11867
What are the prime factors of 964817?
7, 137831
What are the prime factors of 367763?
11, 67, 499
What are the prime factors of 4348860?
2, 3, 5, 72481
What are the prime factors of 152809?
152809
List the prime factors of 185087.
7, 137, 193
What are the prime factors of 155109?
3, 149, 347
List the prime factors of 414542.
2, 19, 10909
What are the prime factors of 1467966?
2, 3, 89, 2749
What are the prime factors of 17353496?
2, 41, 191, 277
What are the prime factors of 5066320?
2, 5, 7, 83, 109
List the prime factors of 664445.
5, 17, 7817
What are the prime factors of 330246?
2, 3, 7, 2621
List the prime factors of 7781031.
3, 31, 167
What are the prime factors of 20307499?
67, 303097
What are the prime factors of 3501764?
2, 7, 125063
List the prime factors of 5573360.
2, 5, 13, 23, 233
What are the prime factors of 6638547?
3, 73, 30313
What are the prime factors of 392584?
2, 31, 1583
List the prime factors of 56764.
2, 23, 617
List the prime factors of 7293844.
2, 109, 16729
What are the prime factors of 2133566?
2, 109, 9787
List the prime factors of 102769.
102769
List the prime factors of 2226821.
263, 8467
List the prime factors of 6135997.
7, 17, 51563
What are the prime factors of 1102023?
3, 13, 9419
What are the prime factors of 534844?
2, 133711
What are the prime factors of 968085?
3, 5, 71, 101
What are the prime factors of 2554707?
3, 851569
List the prime factors of 123373.
123373
List the prime factors of 5195517.
3, 373, 4643
List the prime factors of 36361383.
3, 19, 41, 15559
What are the prime factors of 115545?
3, 5, 7703
What are the prime factors of 150272?
2, 587
What are the prime factors of 113992?
2, 14249
What are the prime factors of 274206?
2, 3, 23, 1987
List the prime factors of 557012.
2, 131, 1063
List the prime factors of 2948982.
2, 3, 491497
List the prime factors of 1290405.
3, 5, 86027
What are the prime factors of 2163872?
2, 19, 3559
List the prime factors of 1234731.
3, 411577
List the prime factors of 382316.
2, 11, 8689
What are the prime factors of 380207?
380207
What are the prime factors of 473833?
473833
What are the prime factors of 124468?
2, 29, 37
List the prime factors of 279475.
5, 7, 1597
List the prime factors of 219488.
2, 19
What are the prime factors of 5088033?
3, 565337
List the prime factors of 3550852.
2, 71, 12503
List the prime factors of 5041281.
3, 7, 67, 3583
What are the prime factors of 2705228?
2, 61, 11087
List the prime factors of 1055956.
2, 11, 103, 233
What are the prime factors of 3293985?
3, 5, 219599
What are the prime factors of 430368?
2, 3, 4483
What are the prime factors of 34627?
31, 1117
List the prime factors of 24276161.
7, 13, 29, 9199
List the prime factors of 480262.
2, 240131
What are the prime factors of 14732?
2, 29, 127
What are the prime factors of 7356008?
2, 11, 83591
What are the prime factors of 263932?
2, 65983
What are the prime factors of 9831383?
9831383
What are the prime factors of 240028?
2, 23, 2609
List the prime factors of 463058.
2, 231529
What are the prime factors of 117234?
2, 3, 13, 167
What are the prime factors of 15747935?
5, 7, 449941
What are the prime factors of 4286715?
3, 5, 285781
List the prime factors of 14657718.
2, 3, 1559, 1567
List the prime factors of 153905.
5, 30781
What are the prime factors of 5584743?
3, 31, 37, 541
List the prime factors of 1219191.
3, 406397
List the prime factors of 599781.
3, 7, 13
What are the prime factors of 240920?
2, 5, 19, 317
What are the prime factors of 6163792?
2, 17, 31, 43
What are the prime factors of 4728441?
3, 773, 2039
What are the prime factors of 347713?
463, 751
List the prime factors of 23005424.
2, 13, 110603
List the prime factors of 2730440.
2, 5, 68261
What are the prime factors of 3960503?
827, 4789
What are the prime factors of 33011809?
79, 103, 4057
What are the prime factors of 4718982?
2, 3, 457, 1721
List the prime factors of 359317.
7, 7333
List the prime factors of 1338822.
2, 3, 24793
What are the prime factors of 760065?
3, 5, 50671
What are the prime factors of 402909?
3, 13, 10331
What are the prime factors of 15489184?
2, 484037
List the prime factors of 935381.
935381
List the prime factors of 1619293.
13, 124561
List the prime factors of 33730.
2, 5, 3373
List the prime factors of 30862.
2, 13, 1187
What are the prime factors of 247021?
337, 733
List the prime factors of 336141.
3, 13, 17
List the prime factors of 4288979.
4288979
What are the prime factors of 4121366?
2, 19, 108457
What are the prime factors of 740535?
3, 5, 49369
What are the prime factors of 905756?
2, 367, 617
What are the prime factors of 2779936?
2, 109, 797
What are the prime factors of 1310311?
1310311
What are the prime factors of 21915073?
71, 308663
What are the prime factors of 57331?
57331
What are the prime factors of 381132?
2, 3, 3529
What are the prime factors of 2300223?
3, 41, 18701
List the prime factors of 1513788.
2, 3, 101, 1249
What are the prime factors of 9382688?
2, 7, 41887
What are the prime factors of 11186139?
3, 3728713
List the prime factors of 545084.
2, 29, 37, 127
List the prime factors of 7425400.
2, 5, 137, 271
List the prime factors of 8197430.
2, 5, 23, 29, 1229
List the prime factors of 763741.
11, 69431
List the prime factors of 300098.
2, 181, 829
What are the prime factors of 24254075?
5, 23, 42181
What are the prime factors of 2430037?
397, 6121
What are the prime factors of 12375930?
2, 3, 5, 7, 8419
What are the prime factors of 550032?
2, 3, 7, 1637
What are the prime factors of 2139050?
2, 5, 179, 239
List the prime factors of 133267.
71, 1877
What are the prime factors of 6555849?
3, 31, 157, 449
What are the prime factors of 13817158?
2, 17, 23, 17669
What are the prime factors of 233948?
2, 11, 13, 409
What are the prime factors of 12310141?
191, 64451
What are the prime factors of 2031967?
7, 53, 5477
List the prime factors of 1281783.
3, 17, 41, 613
What are the prime factors of 89654?
2, 23, 1949
What are the prime factors of 119010?
2, 3, 5, 3967
What are the prime factors of 633471?
3, 17, 12421
List the prime factors of 1331891.
11, 121081
List the prime factors of 1851131.
53, 659
What are the prime factors of 1180408?
2, 147551
What are the prime factors of 4019840?
2, 5, 11, 571
List the prime factors of 18975280.
2, 5, 29, 8179
List the prime factors of 347520.
2, 3, 5, 181
List the prime factors of 631894.
2, 139, 2273
What are the prime factors of 6826979?
17, 401587
What are the prime factors of 1789649?
1789649
List the prime factors of 3914868.
2, 3, 311, 1049
What are the prime factors of 3626563?
3626563
List the prime factors of 4716068.
2, 7, 43, 3917
List the prime factors of 1261459.
1261459
List the prime factors of 16071509.
47, 341947
What are the prime factors of 683309?
11, 62119
What are the prime factors of 11951990?
2, 5, 197, 6067
List the prime factors of 31104.
2, 3
What are the prime factors of 258540?
2, 3, 5, 31, 139
List t | {
"pile_set_name": "DM Mathematics"
} |
es 0.13?
18.3846
Calculate -0.4*5707.22.
-2282.888
-8*-39889
319112
Product of 0.06513 and -3.
-0.19539
Product of -3 and 62875.
-188625
-20554 times -0.6
12332.4
588 times -338
-198744
0.046 times -35697
-1642.062
Work out -3 * 161.36.
-484.08
-3.0336 * 0.053
-0.1607808
What is the product of 0.3 and 8.028?
2.4084
Multiply 0.039927 and -0.04.
-0.00159708
-31302 times 0.5
-15651
0.0133036 times 0.4
0.00532144
Calculate -90*220.5.
-19845
Work out -15453 * 6.
-92718
-0.0109 * 3.68
-0.040112
Multiply -197.64 and 3.
-592.92
Calculate 3.2*0.64.
2.048
Calculate 12*3896.
46752
What is 3 times 5.0419?
15.1257
What is -0.048 times -155.2?
7.4496
Work out 136 * 2.0206.
274.8016
-0.13557*3.7
-0.501609
What is the product of 0.3 and -117.2273?
-35.16819
What is the product of 0.4 and -0.55645?
-0.22258
Work out 26 * 20616.
536016
37448 times 3.6
134812.8
-0.05 times 0.16459
-0.0082295
What is 4 times -243763?
-975052
Calculate -529*5.9.
-3121.1
What is -20 times -7.119?
142.38
Multiply 0.5 and -3.893.
-1.9465
701 times 259
181559
Multiply -603 and -0.047.
28.341
Work out -11.14 * 86.
-958.04
What is the product of -256309 and -2?
512618
0*-5.838
0
What is 3990 times 4?
15960
Work out -6.01 * 0.2.
-1.202
Calculate -8307*-1.27.
10549.89
-2 times 0.17302
-0.34604
Calculate -112*5157.
-577584
Multiply -3075 and 0.0581.
-178.6575
Multiply 1.99993 and 0.1.
0.199993
Multiply -91935 and 0.1.
-9193.5
-1410*-7.17
10109.7
Calculate -5287*42.8.
-226283.6
What is -13031 times 5?
-65155
2.32 * 12359
28672.88
1851 times 868
1606668
What is 0.12579 times 4?
0.50316
What is the product of -20 and -759?
15180
0.1*112637
11263.7
-23 times 4778
-109894
0*336738
0
Calculate 1.755*1.9.
3.3345
343 * -0.0284
-9.7412
Multiply 0.1 and 23396.
2339.6
Multiply -209 and -0.6387.
133.4883
Product of -0.528 and 2854.
-1506.912
Calculate -4100.13*-3.
12300.39
Work out 0.5 * 402.72.
201.36
-547113 times 2
-1094226
Multiply -8688 and -212.
1841856
What is 0.07 times -5191?
-363.37
Multiply -1056 and 0.
0
0*-20.134
0
Work out -0.5 * 36563.9.
-18281.95
-8.531*-0.05
0.42655
Work out 0.3 * -8383.66.
-2515.098
Product of -32.8 and -9.7.
318.16
-251 * 1483
-372233
Multiply -0.12307 and 0.1.
-0.012307
Product of 2287357 and 0.5.
1143678.5
Calculate -86*-94.11.
8093.46
Calculate -602958*0.3.
-180887.4
Multiply -5 and -73.06.
365.3
94 * 232
21808
Product of -2 and 1335.
-2670
9469 times -0.1
-946.9
Calculate -553*66.
-36498
Multiply 0.4324 and 1.1.
0.47564
995914*0.5
497957
Product of -3021530 and -4.
12086120
0.1 * 13653
1365.3
Product of -0.11 and -6.2.
0.682
3 * -7123
-21369
What is the product of 107522 and 5?
537610
-4620 times -1.2
5544
31918 * -32
-1021376
Work out -0.8 * 0.006409.
-0.0051272
What is 3 times 12.215?
36.645
6.4 * 0.1638
1.04832
-114797*3
-344391
Multiply 381 and 0.53.
201.93
Work out 1573 * 10.5.
16516.5
-1104.1*-15
16561.5
Multiply -0.1012 and 2209.
-223.5508
Product of 540.7066 and -0.2.
-108.14132
Multiply 2878 and 0.091.
261.898
What is the product of -33405 and -0.4?
13362
What is 3 times -1030?
-3090
What is the product of 435.74 and -0.1?
-43.574
Calculate 1696*-24.
-40704
What is the product of -0.4 and -3.67078?
1.468312
Calculate 2*-3281.
-6562
-1013.1 * 18
-18235.8
Product of -40398 and 14.
-565572
What is the product of -1407334 and 0?
0
Calculate -433*-0.141.
61.053
Work out 3851 * -12.
-46212
Work out 112060 * -0.3.
-33618
What is 3460 times 321?
1110660
What is the product of -27046 and 0.033?
-892.518
What is 0.2 times 7289?
1457.8
Calculate 0.5*-193.782.
-96.891
Product of -5 and -94795.
473975
Product of -0.0395 and 0.18.
-0.00711
What is 0.0572 times -0.247?
-0.0141284
6905*14
96670
Calculate 447086*-0.2.
-89417.2
-11.5*0.39
-4.485
0.3 times -0.61811
-0.185433
What is 0.205 times -1704.1?
-349.3405
What is the product of 605961 and -0.1?
-60596.1
Product of 0.2 and -88851.2.
-17770.24
Multiply -7.965 and 0.108.
-0.86022
Multiply 1844671 and -4.
-7378684
15390*-0.2
-3078
Multiply -105.46 and 2.
-210.92
-0.651*-381
248.031
Product of 0.6 and 0.1378.
0.08268
What is 24959.7 times -0.5?
-12479.85
What is -567.2 times 0.7?
-397.04
Calculate -209378*0.1.
-20937.8
-5060862 * -1
5060862
1 times -0.27698
-0.27698
What is 27.342 times 3?
82.026
0.1 times -940.69
-94.069
0.37 times 202.8
75.036
Calculate 2944.8*0.01.
29.448
Multiply 0.4 and -2.19921.
-0.879684
Product of 1207 and 2960.
3572720
What is the product of 80 and -1.141?
-91.28
Multiply -74.9 and -0.213.
15.9537
Calculate -16*-12.83.
205.28
8 * 4602
36816
What is 0.1 times 8.848?
0.8848
Calculate 0.07*-59180.
-4142.6
0.058*0.12
0.00696
What is the product of -17 and 2878?
-48926
What is the product of 0.4 and 0.91721?
0.366884
531731*4
2126924
What is 1.4 times 0.309?
0.4326
0.09*64.517
5.80653
Calculate -0.303*-163.
49.389
Calculate -92*-2608.
239936
Calculate -348*740.
-257520
-5.32*-152
808.64
-930 * 3.59
-3338.7
Product of 1.4 and 0.0063.
0.00882
0.06*15.51
0.9306
Work out 134468 * 0.2.
26893.6
-1*-7028
7028
Product of 12.0928 and 7.
84.6496
What is -0.79 times 1033?
-816.07
What is 3334 times 15?
50010
Product of -132132 and 1.
-132132
-2.31878 * 6
-13.91268
35*-2289.4
-80129
What is the product of -9 and 98.9?
-890.1
Multiply 267.176 and -1.
-267.176
29738 times 0
0
Work out -2977 * -0.1.
297.7
Multiply 195673 and 0.3.
58701.9
0.166 times -0.227
-0.037682
-418 times -0.06
25.08
0.5 times -1.50375
-0.751875
Calculate -31*732.
-22692
Work out 31 * 1067.
33077
Calculate -2344*-0.63.
1476.72
Product of 0.2 and 2.428.
0.4856
-0.274455 times -1
0.274455
0.2 * 829.7
165.94
4159838*3
12479514
Multiply -1 and 0.0528.
-0.0528
What is the product of -297 and 0.006?
-1.782
Work out -364 * -0.1842.
67.0488
-4 * -10759
43036
What is 100 times -6089?
-608900
Work out 0.1 * 4757.
475.7
What is the product of -9 and -4.0616?
36.5544
-0.00745*-7.3
0.054385
Calculate 0*144159.
0
461921 * -4
-1847684
-0.092*-1223
112.516
Product of 0.336 and 0.22.
0.07392
100.1 * -0.65
-65.065
-11113 times -0.99
11001.87
Multiply 0.4 and -2.56378.
-1.025512
Calculate 1.22*451.
550.22
427 * -677
-289079
-5 * -1.207533
6.037665
What is -4785.94 times 0.1?
-478.594
Calculate -683*1231.
-840773
Product of 0.017 and -7084.7.
-120.4399
781.2*-184
-143740.8
Product of -380 and 0.1449.
-55.062
-0.025 times -7.227
0.180675
What is 11.876 times 10?
118.76
What is -1214 times 17?
-20638
Product of -3 and -184200.
552600
Multiply 98 and 1.1681.
114.4738
What is the product of -3 and -73.6993?
221.0979
What is the product of -34 and -84287?
2865758
-4.63*166
-768.58
5.2872 times 11
58.1592
What is 0.77274 times 1?
0.77274
Calculate 3*-40657.
-121971
Work out -69 * 0.308.
-21.252
Calculate 307*-25.55.
-7843.85
Multiply -3 and 0.002318.
-0.006954
Multiply 4.657425 and 2.
9.31485
3037682*2
6075364
Multiply -42 and -602.
25284
0.238*14
3.332
What is the product of 77178 and -5?
-385890
What is -224612 times -14?
3144568
Product of 0.054 and -3.03.
-0.16362
Work out -4.5 * 18.
-81
What is -0.22 times 64.494?
-14.18868
What is 72.772 times -4?
-291.088
What is the product of -0.7 and 20.717?
-14.5019
Multiply -0.0034 and -379.
1.2886
Work out -116 * 3.89.
-451.24
Work out -4 * 16415.
-65660
1529.6 * 1.3
1988.48
Calculate -40*43003.
-1720120
What is the product of -40 and -1206.9?
48276
Calculate -5*-710600.
3553000
1*-0.267272
-0.267272
0.19 times 5027
955.13
Product of -90 and 1694.4.
-152496
Multiply -3.180958 and -0.4.
1.2723832
Work out 949 * 13.2.
12526.8
323746*-0.1
-32374.6
Multiply -4 and 0.01637.
-0.06548
What is the product of -0.238621 and 0.4?
-0.0954484
-40 * -0.0262
1.048
What is -0.18 times 10680.2?
-1922.436
Work out -0.4 * -776257.
310502.8
Calculate -4.97*-51.3.
254.961
Product of -42262 and 0.3.
-12678.6
Calculate -1.13059*0.
0
-0.00231 * 0.9
-0.002079
Product of -35 and 11583.
-405405
Calculate -761.7*25.
-19042.5
-332 times 163
-54116
Multiply 0.0684701 and 1.
0.0684701
Calculate -0.3*-0.27331.
0.081993
0.3*6707
2012.1
-12.643 * 12
-151.716
7.4 times -3182
-23546.8
2.4733*-3
-7.4199
4786 times -1.3
-6221.8
What is the product of -83 and -2189?
181687
What is 917.1 times -0.03?
-27.513
1708520 times -4
-6834080
Calculate -70.04*1.4.
-98.056
-576449*-0.3
172934.7
What is -3.2566 times -4.7?
15.30602
What is 127 times 1961?
249047
-0. | {
"pile_set_name": "DM Mathematics"
} |
lect the terms in -13*j**2 - 5*j**2 + 18*j**2 + 16*j**3.
16*j**3
Collect the terms in v - 22*v + 14*v + 6*v.
-v
Collect the terms in -5 + 11 + 12*w - 6.
12*w
Collect the terms in -84*r**2 + 34*r**2 + 46*r**2.
-4*r**2
Collect the terms in -4348*i + 2155*i - i**2 + 2193*i.
-i**2
Collect the terms in 1 + 1 + 16*m - 2.
16*m
Collect the terms in -4*b + 6*b**2 + 4*b - 4*b**2 - 6*b**3.
-6*b**3 + 2*b**2
Collect the terms in -6*a**2 - a**2 + a**2 - a**2.
-7*a**2
Collect the terms in -4*b**3 - 5*b**3 + 3*b**3 + b**3 + 7*b**3.
2*b**3
Collect the terms in 63*r**3 - 29*r**3 - 28*r**3.
6*r**3
Collect the terms in 104*z**2 - 49*z**2 - 51*z**2.
4*z**2
Collect the terms in -6*x + 3*x + 18 - 19.
-3*x - 1
Collect the terms in 6*k**2 - k**2 + 4*k**2.
9*k**2
Collect the terms in -2762*b**2 + 5669*b**2 - 2*b**3 - 2907*b**2.
-2*b**3
Collect the terms in 3*c**2 - 5*c + 5*c + 3*c**2.
6*c**2
Collect the terms in 241*h**2 - 99*h**2 - 141*h**2.
h**2
Collect the terms in 5*a**3 - 9*a**3 + 4*a**3 - 5*a**3.
-5*a**3
Collect the terms in 14*f - 29*f + 13*f.
-2*f
Collect the terms in -58*w**2 + 32*w**2 - 1 + 1.
-26*w**2
Collect the terms in -2*y**3 + 12*y**3 - 11*y**3 - 8*y**3.
-9*y**3
Collect the terms in 7*h**3 + 10*h**3 - 7*h**3.
10*h**3
Collect the terms in -40 + 27 + 13 - l**2.
-l**2
Collect the terms in 30*d + 3 + 32*d - 3.
62*d
Collect the terms in -20 - 7*k**3 + 2*k**3 + 20 + 4*k**3.
-k**3
Collect the terms in 27*c**3 - 55*c**3 + 20*c**3.
-8*c**3
Collect the terms in 91*b**2 - 91*b**2 + 26*b**3 - 5*b**3.
21*b**3
Collect the terms in -5*m - 2*m - 15 + 15.
-7*m
Collect the terms in -4*s**3 + 6*s**3 + s**3.
3*s**3
Collect the terms in 6*g**3 + 3*g**3 + 6*g**3.
15*g**3
Collect the terms in -2 - 14*v**2 + 2 + 0.
-14*v**2
Collect the terms in 233*y**2 - 3*y**3 - y - 5*y - y.
-3*y**3 + 233*y**2 - 7*y
Collect the terms in 3 + 11*h - 3 + 9*h.
20*h
Collect the terms in 4 - 5 + 3*l**2 - 44 + l**2.
4*l**2 - 45
Collect the terms in -3*d**2 - 7*d**2 + 9*d**2 - 9*d**2.
-10*d**2
Collect the terms in 332*l - 170*l - 167*l.
-5*l
Collect the terms in -9972 + 19943 - 9971 + b**3.
b**3
Collect the terms in 1782*r**3 + 1827*r**3 - 3578*r**3.
31*r**3
Collect the terms in -4*x**2 + 3*x + 6*x - 9*x.
-4*x**2
Collect the terms in l**3 + 6*l**3 - 3*l**3.
4*l**3
Collect the terms in 5140*t - 811*t**3 + 812*t**3 - 5140*t.
t**3
Collect the terms in 38 + 0*w**3 - 5*w**3 - 38.
-5*w**3
Collect the terms in b**3 - 48*b**2 + 0*b - 32*b**2 + 4*b.
b**3 - 80*b**2 + 4*b
Collect the terms in -i**2 + 0*i**2 - 5*i**2.
-6*i**2
Collect the terms in 34*l - 17*l - 19*l.
-2*l
Collect the terms in -9 + 3 - 29*a**2 - 113*a**2 + 5.
-142*a**2 - 1
Collect the terms in -12*m**2 - 10*m**2 - 7*m**2 - 5*m**2.
-34*m**2
Collect the terms in 366*i**3 - 7*i**3 + 374*i**3.
733*i**3
Collect the terms in -83*u**3 - 2*u**3 + 0 + 3.
-85*u**3 + 3
Collect the terms in 3931 + b**2 - 3931.
b**2
Collect the terms in -316 + 155 + 3*w**2 + 161.
3*w**2
Collect the terms in 86*a - 84*a - 3*a**3 - 2*a + 2*a**3.
-a**3
Collect the terms in 3*x + 10*x - 6*x + 6*x.
13*x
Collect the terms in -4*b - 1063 + 1063.
-4*b
Collect the terms in -26*i**3 + 8*i - 8*i + 186 - 186.
-26*i**3
Collect the terms in 20*k**3 - 1 - 19*k**3 + 1 + 8*k**3.
9*k**3
Collect the terms in -34*r**2 - 487 + 5*r**2 + 487.
-29*r**2
Collect the terms in 1380*i**2 + 625*i**2 - 334*i**2.
1671*i**2
Collect the terms in -3*q**2 + 4*q**2 - 2*q**2 - 4*q**2.
-5*q**2
Collect the terms in -22*i - 7 - 1 + 8.
-22*i
Collect the terms in -104*n**3 + 3*n - 3*n.
-104*n**3
Collect the terms in -796*j + 0 + 0 + 0.
-796*j
Collect the terms in 0*h**2 - 14*h**2 + 3*h**2 + 5*h**2 - 19*h**2.
-25*h**2
Collect the terms in -7*s**2 + 27*s**2 - 14*s**2 - 5*s**2.
s**2
Collect the terms in 487 - 487 + x**2.
x**2
Collect the terms in -18 + 18 + 6*c.
6*c
Collect the terms in -55*z**2 + 5*z + 61*z**2 - 5*z.
6*z**2
Collect the terms in -6 + 25 - 19 - 12*v.
-12*v
Collect the terms in 0*t**3 + 436*t**2 + 2*t**3 - 436*t**2.
2*t**3
Collect the terms in 18 - 3*x**2 - 45 + 13*x**2 + 27.
10*x**2
Collect the terms in -16*o**3 + 11*o**3 + 3*o**3 + 4*o**3.
2*o**3
Collect the terms in -u**3 + 866066*u - 866066*u.
-u**3
Collect the terms in -2 - 8 + 10 + 18*t.
18*t
Collect the terms in -201*s + 276*s - 69*s.
6*s
Collect the terms in -2*h**2 - 3*h**2 - 2*h**2 + 5*h**2.
-2*h**2
Collect the terms in -45*u**2 - 1 - 1 + 1 - 2.
-45*u**2 - 3
Collect the terms in 2875*u - 1 - 2873*u + 1.
2*u
Collect the terms in -100*o**2 - 15*o**2 + 13*o**2.
-102*o**2
Collect the terms in -3*z - 1 - 2*z - 9.
-5*z - 10
Collect the terms in -10*h - 23*h - 6*h.
-39*h
Collect the terms in -103*y**2 + 103*y**2 - 11*y**3.
-11*y**3
Collect the terms in -6*m - 15*m - 7*m - 2*m.
-30*m
Collect the terms in -6*p**2 + 2444*p - 2444*p.
-6*p**2
Collect the terms in 6*w**3 + 3450*w - 3450*w + 3*w**2 - 3*w**2.
6*w**3
Collect the terms in 5*g + 5*g + 9*g - 13*g.
6*g
Collect the terms in -114 - 133 + 357 - 110 - 2*s**2.
-2*s**2
Collect the terms in -336*v**2 + 165*v**2 + 168*v**2.
-3*v**2
Collect the terms in 35 - 27 + 2*o - 8.
2*o
Collect the terms in 11 - 20 + 9 - 2*q.
-2*q
Collect the terms in 18 - 18 - 5*c**3 - 55*c**2 + 55*c**2.
-5*c**3
Collect the terms in 15*h - 4*h + 16*h.
27*h
Collect the terms in 3 - 3 - 40*q**2 - 8*q**2.
-48*q**2
Collect the terms in 1 + 1 + 2*p + 2*p.
4*p + 2
Collect the terms in -51*h + 23 - 23 + 56*h.
5*h
Collect the terms in 949*l - 949*l - 3*l**2.
-3*l**2
Collect the terms in 12*t**2 - 10*t**2 - 5*t**2.
-3*t**2
Collect the terms in 6*x**2 + 442 - 442.
6*x**2
Collect the terms in 13*w + w - w + w.
14*w
Collect the terms in f**2 - 10758 + 10758.
f**2
Collect the terms in 14*q**3 - 6*q**3 + 5*q**2 - 8*q**2 + 11*q**3.
19*q**3 - 3*q**2
Collect the terms in -15*n**2 - 45*n**2 - 7 + 7.
-60*n**2
Collect the terms in -4*j + j - 20*j - 4*j.
-27*j
Collect the terms in -58*b**2 + 108*b**2 - 51*b**2.
-b**2
Collect the terms in 171*p + 176*p - 342*p.
5*p
Collect the terms in 12*l**2 + 12*l**2 + 13*l**2 - 50*l**2 + 17*l**2.
4*l**2
Collect the terms in 35 + 43 - 2*b**3 - 29.
-2*b**3 + 49
Collect the terms in 226*g**3 - 517*g**3 + 293*g**3.
2*g**3
Collect the terms in -2*w**2 - 6*w**2 + 2*w**2.
-6*w**2
Collect the terms in 3*h - 2*h - 4*h - 16*h.
-19*h
Collect the terms in 0*x + 0*x - 26787*x**2 - 3*x**3 + 26787*x**2.
-3*x**3
Collect the terms in w - 21*w**2 + 18*w**2 - w.
-3*w**2
Collect the terms in 51*r - 43*r - 70 + 70.
8*r
Collect the terms in 43*x**2 + 11*x + 8*x - 19*x.
43*x**2
Collect the terms in -2*i**3 - 1 - 5*i**3 + 13*i**3.
6*i**3 - 1
Collect the terms in 8 - 6 - 2*b + 43.
-2*b + 45
Collect the terms in 55*f**2 - 52*f**2 + 42*f**2.
45*f**2
Collect the terms in 10*r - 36*r + 10*r + 13*r.
-3*r
Collect the terms in 13*y**2 + 5*y**2 - 37*y**3 - 18*y**2.
-37*y**3
Collect the terms in 10*r**2 - 5*r**2 - 2*r**3 - 5*r**2.
-2*r**3
Collect the terms in -u**2 + 4*u**2 + 2*u**2.
5*u**2
Collect the terms in -13924 + 13924 + 4*i**3 - 2*i**3.
2*i**3
Collect the terms in y**2 - 3*y**2 - 11*y**2 - 11*y**2.
-24*y**2
Collect the terms in 16*n**3 - 23*n**3 + 9*n**3.
2*n**3
Collect the terms in 22*r**2 - 17*r**3 - 22*r**2.
-17*r**3
Collect the terms in -8*d**2 - 42*d + 42*d - 3*d**2.
-11*d**2
Collect the terms in 23*i - 4*i**2 - 10 - 23*i + 10.
-4*i**2
Collect the terms in -22*k + 14*k + 13*k + 5.
5*k + 5
Collect the terms in -1293 + 1293 + 9*h**3.
9*h**3
Collect the terms in -84*d**2 - 82*d**2 + 161*d**2.
-5*d**2
Collect the terms in -120 + 2*d**2 - 78 + 198.
2*d**2
Collect the terms in 0*h**3 + 1 + 24*h**3 + 2*h**3.
26*h**3 + 1
Collect the terms in -43*r + 43*r - r**2.
-r**2
Collect the terms in -5*m**3 + 15*m**3 + 4*m**3 + 8*m**3.
22*m**3
Collect the terms in 4*u - 4*u - 4*u + u + u.
-2*u
Collect the terms in -9*l**2 + l - l + 91*l**2.
82*l**2
Collect the terms in 241*y - 241*y - 4*y**3.
-4*y**3
Collect the terms in 1141*y + 13*y**3 - 1141*y.
13*y**3
Collect the terms in 18*u**3 - 43*u**3 + 26*u**3.
u**3
Collect the terms in 7*z**2 - 10 + 10 + 0.
7*z**2
Collect the terms in -4*q**2 - 582*q + q**2 + 582*q - q**2.
-4*q**2
Collect the terms in 0 - 566*y + 0.
-566*y
Collect the terms in -8*d**3 - 6*d**3 + 4*d**3.
-10*d**3
Collect the terms in -11*v**3 + v - v.
-11*v**3
Collect the terms in 5*u**3 - 11*u**3 + 2*u**3.
-4*u**3
Collect the terms in -259 + | {
"pile_set_name": "DM Mathematics"
} |
3554765 to the power of 1/6, to the nearest integer?
26
What is the square root of 32167425 to the nearest integer?
5672
What is 6214020 to the power of 1/3, to the nearest integer?
184
What is the tenth root of 3776920666 to the nearest integer?
9
What is the square root of 88104916 to the nearest integer?
9386
What is the tenth root of 25425602 to the nearest integer?
6
What is the square root of 297472658 to the nearest integer?
17247
What is the third root of 160463185 to the nearest integer?
543
What is the square root of 110302355 to the nearest integer?
10502
What is 624797146 to the power of 1/2, to the nearest integer?
24996
What is the square root of 425012126 to the nearest integer?
20616
What is the third root of 49002128 to the nearest integer?
366
What is 1527316840 to the power of 1/6, to the nearest integer?
34
What is the tenth root of 683841676 to the nearest integer?
8
What is the square root of 2252492435 to the nearest integer?
47460
What is 46418900 to the power of 1/2, to the nearest integer?
6813
What is the third root of 1812775968 to the nearest integer?
1219
What is the square root of 1805389271 to the nearest integer?
42490
What is 14432337 to the power of 1/2, to the nearest integer?
3799
What is the cube root of 764170342 to the nearest integer?
914
What is 7325754135 to the power of 1/8, to the nearest integer?
17
What is 2558443909 to the power of 1/2, to the nearest integer?
50581
What is the fourth root of 23471775 to the nearest integer?
70
What is the square root of 597120342 to the nearest integer?
24436
What is the third root of 1727680462 to the nearest integer?
1200
What is the sixth root of 242589694 to the nearest integer?
25
What is the third root of 5855074 to the nearest integer?
180
What is 114879778 to the power of 1/2, to the nearest integer?
10718
What is 415933357 to the power of 1/2, to the nearest integer?
20394
What is the third root of 56902940 to the nearest integer?
385
What is 82073693 to the power of 1/2, to the nearest integer?
9059
What is the third root of 93758931 to the nearest integer?
454
What is 56987143 to the power of 1/4, to the nearest integer?
87
What is the tenth root of 3105154637 to the nearest integer?
9
What is the third root of 17679773 to the nearest integer?
261
What is 113753534 to the power of 1/9, to the nearest integer?
8
What is 187239183 to the power of 1/9, to the nearest integer?
8
What is the tenth root of 1225028 to the nearest integer?
4
What is the square root of 638821715 to the nearest integer?
25275
What is the tenth root of 41679223 to the nearest integer?
6
What is the ninth root of 42433463 to the nearest integer?
7
What is the fifth root of 448900244 to the nearest integer?
54
What is the third root of 67566800 to the nearest integer?
407
What is 202867963 to the power of 1/3, to the nearest integer?
588
What is 325597981 to the power of 1/2, to the nearest integer?
18044
What is 57870073 to the power of 1/2, to the nearest integer?
7607
What is the third root of 51544425 to the nearest integer?
372
What is 77677450 to the power of 1/3, to the nearest integer?
427
What is 911209210 to the power of 1/6, to the nearest integer?
31
What is the fifth root of 3423604235 to the nearest integer?
81
What is 1982912851 to the power of 1/9, to the nearest integer?
11
What is the third root of 54906628 to the nearest integer?
380
What is 41617330 to the power of 1/5, to the nearest integer?
33
What is the square root of 619745046 to the nearest integer?
24895
What is 124951209 to the power of 1/2, to the nearest integer?
11178
What is the fourth root of 1167334918 to the nearest integer?
185
What is 10840299 to the power of 1/2, to the nearest integer?
3292
What is the third root of 10611608 to the nearest integer?
220
What is the square root of 1470958650 to the nearest integer?
38353
What is 44304377 to the power of 1/2, to the nearest integer?
6656
What is 54710247 to the power of 1/2, to the nearest integer?
7397
What is 44907690 to the power of 1/2, to the nearest integer?
6701
What is the eighth root of 28351877 to the nearest integer?
9
What is the sixth root of 936271870 to the nearest integer?
31
What is the square root of 1053798269 to the nearest integer?
32462
What is the square root of 814254094 to the nearest integer?
28535
What is 1678731172 to the power of 1/2, to the nearest integer?
40972
What is the cube root of 76514620 to the nearest integer?
425
What is the ninth root of 4476257045 to the nearest integer?
12
What is the third root of 123774497 to the nearest integer?
498
What is the third root of 1579671924 to the nearest integer?
1165
What is 1134732872 to the power of 1/8, to the nearest integer?
14
What is the sixth root of 5268615413 to the nearest integer?
42
What is the square root of 46224052 to the nearest integer?
6799
What is the cube root of 491350551 to the nearest integer?
789
What is the square root of 12586212 to the nearest integer?
3548
What is the tenth root of 52794070 to the nearest integer?
6
What is the third root of 2676218380 to the nearest integer?
1388
What is 361994142 to the power of 1/5, to the nearest integer?
51
What is the cube root of 2754571263 to the nearest integer?
1402
What is 91550921 to the power of 1/2, to the nearest integer?
9568
What is the square root of 99985111 to the nearest integer?
9999
What is 7254791601 to the power of 1/5, to the nearest integer?
94
What is the cube root of 1399030325 to the nearest integer?
1118
What is 475269588 to the power of 1/4, to the nearest integer?
148
What is the square root of 103198115 to the nearest integer?
10159
What is the tenth root of 3550043072 to the nearest integer?
9
What is 88015533 to the power of 1/7, to the nearest integer?
14
What is 783881232 to the power of 1/2, to the nearest integer?
27998
What is the cube root of 3457406393 to the nearest integer?
1512
What is the square root of 62148877 to the nearest integer?
7883
What is 21422223 to the power of 1/2, to the nearest integer?
4628
What is the third root of 32174843 to the nearest integer?
318
What is 3066542270 to the power of 1/6, to the nearest integer?
38
What is 3001696590 to the power of 1/3, to the nearest integer?
1443
What is the fourth root of 3566865213 to the nearest integer?
244
What is 1611065061 to the power of 1/2, to the nearest integer?
40138
What is the square root of 249050851 to the nearest integer?
15781
What is the square root of 582262770 to the nearest integer?
24130
What is the tenth root of 36788833 to the nearest integer?
6
What is the fifth root of 405548725 to the nearest integer?
53
What is the cube root of 197960440 to the nearest integer?
583
What is 783473649 to the power of 1/10, to the nearest integer?
8
What is the square root of 484039715 to the nearest integer?
22001
What is the square root of 870986 to the nearest integer?
933
What is 3885272197 to the power of 1/2, to the nearest integer?
62332
What is the square root of 136097174 to the nearest integer?
11666
What is 78570749 to the power of 1/3, to the nearest integer?
428
What is the cube root of 1868564353 to the nearest integer?
1232
What is the cube root of 790227245 to the nearest integer?
925
What is 110657908 to the power of 1/10, to the nearest integer?
6
What is 163877041 to the power of 1/2, to the nearest integer?
12801
What is the third root of 256452713 to the nearest integer?
635
What is the square root of 1071099300 to the nearest integer?
32728
What is 373164175 to the power of 1/2, to the nearest integer?
19317
What is 1634575426 to the power of 1/8, to the nearest integer?
14
What is the fourth root of 65536118 to the nearest integer?
90
What is the square root of 112583728 to the nearest integer?
10611
What is 564742035 to the power of 1/7, to the nearest integer?
18
What is the cube root of 5174495481 to the nearest integer?
1730
What is the third root of 1918877058 to the nearest integer?
1243
What is the third root of 61728381 to the nearest integer?
395
What is the cube root of 404863822 to the nearest integer?
740
What is 117484744 to the power of 1/9, to the nearest integer?
8
What is 2709238960 to the power of 1/10, to the nearest integer?
9
What is the square ro | {
"pile_set_name": "DM Mathematics"
} |
Let n = -7164 + 7437. Calculate the remainder when n is divided by 40.
33
Suppose 56*t - 4 = 54*t. Suppose -t = 6*k - 32. Suppose 2*i + 6 = k*i. Calculate the remainder when i is divided by 2.
0
Let o = -624 - -640. Calculate the remainder when 1/6*-6 - -4*o is divided by 46.
17
Let p = 18486 - 18024. Calculate the remainder when p is divided by 150.
12
Suppose 1159*j - 1201*j + 1974 = 0. What is the remainder when 377 is divided by j?
1
Suppose 5*x + 5*m = 85, 0 = -3659*x + 3657*x + m + 49. Let c be (-1 - -15)*(2 - 19). Let r = -108 - c. What is the remainder when r is divided by x?
20
Let j = 304197 + -304159. What is the remainder when 0/2 - 74*-1 is divided by j?
36
Let o = -1964 - -1978. Suppose 4*d = 8 - 28. Calculate the remainder when 0/(2 + d) - -39 is divided by o.
11
Calculate the remainder when (-58)/812 + 28785/14 is divided by 71.
68
Let a = 261 - 229. Suppose -27*d = -a*d + 75. Suppose -3*w + 2*u + 252 = 0, 3*w + 3*u - 34 = 233. Calculate the remainder when w is divided by d.
11
Let t = 16856 + -16543. What is the remainder when t is divided by 118?
77
Let r(d) = 4*d**2 + 3*d + 128. What is the remainder when r(0) is divided by 30?
8
Let a = 7215 - 7134. Calculate the remainder when 5911 is divided by a.
79
Suppose -k + 5*k - 256 = 0. Let g(n) = 9*n + 2. Let j be g(3). Suppose -j*b + 31*b + 7 = z, 3*z - 3*b - 36 = 0. What is the remainder when k is divided by z?
13
Let l = -1108 + 342. Calculate the remainder when 214 is divided by l/(-7) - 156/(-273).
104
Let m = 44 - 40. Suppose -f - 5*z = -7, 4*z - 2 = -m*f + 26. Suppose 3*v + 744 = f*v. What is the remainder when v is divided by 47?
45
Suppose -5*j = -5*l - 645, 3*j + l = 65 + 306. Let h be 1 - (-1*2 + 3). Suppose h = 5*c + 55 - j. Calculate the remainder when 52 is divided by c.
10
Suppose -3*f + 6*d - d = -994, 4*f - 1277 = -3*d. Calculate the remainder when f is divided by 47.
41
Calculate the remainder when 722 is divided by (16/(-10))/((-1604)/38095).
0
Suppose -2*u = q - 56, 21*u - 18*u + 6 = 0. Let v = 71 - -7. What is the remainder when q is divided by 2/(-13) + 1260/v?
12
What is the remainder when (7 - 8)*(3 + -2631 - 8) is divided by 9?
8
Suppose l = -2*k + 5*k - 289, 381 = 4*k + 3*l. What is the remainder when k is divided by 39?
18
What is the remainder when 113 is divided by (-4)/(-38)*1 + 14576/152 + 17?
0
Suppose 3*t + 10 = -2*t. Let o = -485 - -467. Calculate the remainder when 31 is divided by ((-3)/t)/(o/(-228)).
12
Let d(n) = -n**2 - 114*n - 158. What is the remainder when d(-97) is divided by 115?
111
Let r(q) = -q**3 + 6*q**2 - q - 3. What is the remainder when 2208 is divided by r(2)?
8
Suppose 0 = 2*q - 5*y - 41, -y + 3*y + 22 = q. Let c(n) = -2*n**3 - 132*n**2 + 271*n - 30. What is the remainder when c(-68) is divided by q?
10
Let i(m) = 2*m**3 - 40*m**2 - 52*m + 163. Calculate the remainder when i(24) is divided by 43.
40
Suppose 0 = -16*y + 13*y + a + 74, -3*a = 3*y - 90. Calculate the remainder when 1297 is divided by y.
23
Suppose -7*r + 2233 = 22*r. Calculate the remainder when r is divided by 69.
8
Let i(w) = w**2 - 4*w - 4. Let u be i(-2). Suppose 0*s - u = -8*s. Suppose k + 2*j - s = 0, 2*k + 5*j + 5 = k. Calculate the remainder when 24 is divided by k.
4
Suppose 12*w = 15*w - 36. Suppose 8*a = 2*a - w. Let z(o) = -o**2 - 6*o - 2. Calculate the remainder when 7 is divided by z(a).
1
Let x = 332 + -188. Suppose 25*o = 21*o - x. Calculate the remainder when 53 is divided by o/((-6)/3) + 0.
17
Suppose -9 - 7 = -8*j. Let l be ((-15)/(-20))/(2/8). Suppose -3*h - l*w = -78, -5*h = -j*h - 5*w - 46. Calculate the remainder when 42 is divided by h.
20
Suppose -49 - 105 = 7*u. Let g be (-686)/u + (-18)/99. Suppose 3*t = 2 + g. What is the remainder when 19 is divided by t?
8
Let u(l) = l**2 + 2*l. Let i be u(-2). Suppose i = d - f - 15, 5*d - 3*f - 55 = -8*f. Calculate the remainder when 207 is divided by d.
12
Let a = -1565 - -1893. What is the remainder when a is divided by 6?
4
Let y(c) = -31*c - 3274. Calculate the remainder when 106 is divided by y(-109).
1
Suppose -h = -4*h. Suppose h = -3*p + 3*x + 63, 3*x + 42 = 2*p - x. Let r(l) = l**2 + 9*l + 82. Calculate the remainder when r(-9) is divided by p.
19
Let u be ((-8)/(6 - 10))/((-1)/(-2)). Calculate the remainder when 68 is divided by u - (128/4)/(-1).
32
Suppose 496*c - 461*c = 2835. What is the remainder when 238 is divided by c?
76
Suppose 0 = 102*b - 175*b + 12337. What is the remainder when b is divided by 158?
11
Let u be (6/(-12))/(-1)*-440. Let s = u + 229. What is the remainder when s is divided by 5?
4
Let o(g) = 7*g**3 + g**2 - 2. Suppose d = -6 + 7. Let f be o(d). Suppose f*k = 3*k + 360. Calculate the remainder when k is divided by 31.
27
Suppose 43*w = 38*w - 40. Suppose 5*i = 47 + 38. Let l = w + i. What is the remainder when 14 is divided by l?
5
Suppose 0 = -49*z + 38*z - 3190. Let t = -273 - z. What is the remainder when 132 is divided by t?
13
Let h be ((-25)/150*40)/(2/(-33)). Suppose -k + 2*g = -3*k - 108, 0 = 5*k + g + 274. Let z = k + h. What is the remainder when 162 is divided by z?
52
Let f(m) = -25*m + 222. Let y be f(7). Suppose 251 = 12*z + y. What is the remainder when 2 + 1 + -1 + 116 is divided by z?
16
Let i(c) = -136*c - 4544. What is the remainder when i(-37) is divided by 186?
116
Let x be 17/(102/36) - -8. Suppose -x*t = -502 + 180. Calculate the remainder when 114 is divided by t.
22
Let k be 1/(1/(-45)*-1). Suppose t - k = -16. Suppose 4*o - 3*o = -4*z + 33, 3*z = -o + t. What is the remainder when 99 is divided by o?
14
Suppose t = 5*n - 273, 4*t - 118 = -17*n + 15*n. Let z = 161 - -57. Calculate the remainder when z is divided by n.
53
Suppose 35*y = 47*y - 14904. Calculate the remainder when y is divided by 26.
20
Let r = -1 + 3. Suppose 4 = -83*h + 86*h - 2*g, -3*h + g = -8. Let t = h - r. Calculate the remainder when 6 is divided by t.
0
What is the remainder when 2756 - ((-75)/(-25) + 1 + -8) is divided by 917?
9
What is the remainder when 2355 is divided by 354*(380/(-30) - -13)?
113
Let m be 5*(-8)/(-220) - (-143155)/55. Suppose -12*q + m = 7*q. What is the remainder when q is divided by 48?
41
Suppose 4*c - 19 + 3 = 0. Suppose -5*w + 61 = 2*p, -c*w = -2*p + 39 + 13. Suppose 10*a + 0*a = 80. What is the remainder when p is divided by a?
4
What is the remainder when (-24)/(-60) + 6390/25 + 1 is divided by 218?
39
Let d(g) = 57*g + 1745. Calculate the remainder when 52 is divided by d(-30).
17
Suppose -a - 18 = -3*v, 0 = -2*v + 7*v - 3*a - 34. Suppose 3*q - 2*q - 5 = 0, 2*s - 143 = -v*q. Calculate the remainder when s is divided by 34.
25
Let s = 17 - -1. Suppose 2*y + s = 4*m - 0*m, -5*y + 18 = -m. Suppose 4*i = 4*t - 128, 42 = t + 2*i - 5*i. Calculate the remainder when t is divided by m.
6
Let t = 1574 - 1568. Calculate the remainder when (-314)/(-14) + (-18)/42 is divided by t.
4
Let y = 18595 + -18565. Suppose -2*b + 16 = -n + 35, 4*n - 67 = 5*b. What is the remainder when y is divided by n?
4
Suppose y - 4*q + 86 + 203 = 0, -1426 = 5*y - q. Let i = y - -298. What is the remainder when 311 is divided by i?
12
Suppose -4*i + u - 34 = -u, -u = 5*i + 25. Let v(r) = -4 + 11*r**2 - 3*r**2 + 3*r + r**3 - 3. What is the remainder when v(i) is divided by 24?
23
Suppose 0 = -162*l - 24*l + 9092 + 5230. What is the remainder when 408 is divided by l?
23
Suppose 10 = 4*g - 266. Let r be (-23)/115 + 996/5. Suppose 197 = 22*t - r. What is the remainder when g is divided by t?
15
Let u(n) = -100*n - 5. Let r be u(1). Let q = 122 + r. What is the remainder when 117 is divided by q?
15
Let i(c) = 31*c**3 + c**2 - c. Let l = 56339 - 56279. Calculate the remainder when l is divided by i(1).
29
Let x(s) = 16*s - 38. Let p be x(6). Suppose -3*q + 12*h + 60 = 15*h, 5*h - p = -3*q. What is the remainder when 26 is divided by q?
5
Calculate the remainder when 1888 is divided by 2 + (-100)/45 + (-24320)/(-90).
268
Let u(o) = 3*o**2 - 8*o + 8. Let w be u(1). Suppose -67 = -y - 2*d, 22 = y - w*d - 45. What is the remainder when y is divided by 55?
12
Let i be 16/4 + 6 + -2. Let k(x) = -x + 10. Let w be k(i). Suppose -5*j + 10 = 0, 2*j = w*h + 4*j - 82. Calculate the remainder when h is divided by 20.
19
Let x = 338 + -248. Let q = 128 - x. Let m = 134 - 59. Calculat | {
"pile_set_name": "DM Mathematics"
} |
*a**2 - 78*a + 8. Determine v(5).
-7
Let v(t) = 2*t**2 - 6*t + 1. Give v(2).
-3
Let b(j) = -j**2 - 5*j + 30. Determine b(-9).
-6
Let o(v) = 8*v + 63. Calculate o(-9).
-9
Let v(h) = -h**3 + 11*h**2 + 45*h - 498. What is v(11)?
-3
Let n(q) = -q**3 + 11*q**2 - 7*q + 25. Determine n(11).
-52
Let l(g) = 2*g**3 + g**2 - 3*g + 1. Determine l(-2).
-5
Let d(s) = -s**2 - 5*s + 8. Give d(-5).
8
Let n(w) = w**3 - w + 1. Determine n(0).
1
Let y(f) = 3*f**3 - 3*f**2 - 2*f + 1. Determine y(-2).
-31
Let f(m) = m**3 - 37*m**2 - 39*m + 31. Give f(38).
-7
Let k(t) = 6*t + 14. Give k(-9).
-40
Let f(b) = 2*b**3 + 18*b**2 - 4*b - 41. Give f(-9).
-5
Let g(m) = 12*m - 79. What is g(7)?
5
Let d(t) = t**2 - 10*t + 3. Determine d(7).
-18
Let r(g) = -g**3 + g**2 - 2*g + 22. Give r(0).
22
Let o(k) = 14*k + 1. Give o(1).
15
Let w(x) = -x**3 + 11*x**2 - 8*x - 25. What is w(10)?
-5
Let o(x) = x + 3. Determine o(-9).
-6
Let j(f) = f**3 - 6*f**2 - 7*f - 14. Give j(7).
-14
Let d(a) = -6*a + 30. Determine d(3).
12
Let p(n) = -n**3 - 6*n**2 - 5*n + 9. Calculate p(-5).
9
Let o(f) = -11*f**3 + 24*f**2 - f - 4. Determine o(2).
2
Let y(u) = 6*u**2 + 9*u + 1. Determine y(-4).
61
Let h(d) = 3*d + 11. Determine h(22).
77
Let m(w) = 10*w - 50. What is m(5)?
0
Let b(o) = -3*o**2 - o - 1. What is b(-2)?
-11
Let l(x) = x**3 + 11*x**2 + 4. Give l(-11).
4
Let d(n) = 2*n**2 - 36*n + 9. What is d(18)?
9
Let o(b) = b**3 + 18*b**2 + 14*b - 71. Give o(-17).
-20
Let i(d) = -4*d + 118. Calculate i(32).
-10
Let w(c) = 2*c + 41. What is w(-10)?
21
Let q(z) = -40*z**2 - z + 1. Determine q(1).
-40
Let g(m) = -5*m - 47. What is g(0)?
-47
Let o(q) = q**2 + 3*q + 12. Calculate o(0).
12
Let y(x) = -x**3 - 21*x**2 - 21*x - 23. Give y(-20).
-3
Let r(k) = -k**3 + 10*k**2 - 11*k + 22. What is r(9)?
4
Let j(c) = -c - 9. Give j(2).
-11
Let y(c) = -8*c + 64. What is y(7)?
8
Let z(w) = -w**3 - 4*w**2 + 2*w - 3. What is z(-4)?
-11
Let c(w) = -w**2 + 23*w - 38. Calculate c(19).
38
Let x(g) = -11*g + 141. What is x(13)?
-2
Let g(i) = -i**3 - 45*i**2 - 43*i + 48. Give g(-44).
4
Let h(w) = 2*w**2 + 2*w - 40. Determine h(5).
20
Let p(y) = -y**3 - y**2 + 8*y + 9. Determine p(-5).
69
Let x(o) = -o**3 - 17*o**2 - 4*o + 8. Calculate x(-17).
76
Let b(i) = i**2 - 32*i + 9. Calculate b(0).
9
Let n(f) = -f**3 + f**2 + 23*f + 6. Determine n(5).
21
Let g(o) = -o**2 + 8*o - 9. Give g(6).
3
Let y(c) = -4*c - 2. Give y(-6).
22
Let v(b) = -b**2 - b + 18. Give v(-8).
-38
Let d(m) = m**2 + 18*m - 140. Calculate d(-24).
4
Let i(z) = 2*z**2 + 11*z + 1. Calculate i(-8).
41
Let l(m) = -m**3 - 19*m**2 + 13*m + 50. Give l(-20).
190
Let t(m) = -16*m**2 + 2*m - 1. Determine t(1).
-15
Let c(k) = k**3 + k**2 - k - 20. Determine c(0).
-20
Let l(q) = q**3 + 13*q**2 - 3*q - 7. Determine l(-13).
32
Let r(m) = m**3 + 8*m**2 - 10*m + 11. Calculate r(-9).
20
Let p(b) = -b**2 - b + 6. Determine p(-3).
0
Let l(m) = -m**2 - 4*m - 24. Determine l(-6).
-36
Let z(x) = -x**3 + 10*x**2 - 7*x - 14. Give z(11).
-212
Let l(m) = -m**2 + 6*m - 9. What is l(4)?
-1
Let t(u) = -6*u + 24. What is t(5)?
-6
Let p(q) = 2*q**3 - 4*q**2 + 3*q - 1. What is p(3)?
26
Let t(p) = -p + 15. Calculate t(27).
-12
Let a(i) = -i**2 + 61*i - 325. Determine a(6).
5
Let h(f) = f**2 + f + 2. Give h(2).
8
Let k(i) = 15*i**2 - 1. Calculate k(1).
14
Let v(f) = -f**3 - 12*f**2 + 10*f + 1. Give v(-13).
40
Let l(w) = -2*w - 14. Calculate l(-4).
-6
Let k(v) = 7*v + 10. Determine k(-1).
3
Let m(p) = 2*p - 19. Calculate m(6).
-7
Let k(j) = 3*j**3 - j - 1. Calculate k(-2).
-23
Let l(x) = 3*x**2 - 5*x - 3. Calculate l(4).
25
Let u(b) = -2*b + 8. Determine u(6).
-4
Let t(i) = -i**3 + 2*i**2 + 3*i + 1. Calculate t(-2).
11
Let k(t) = -t**3 - 7*t**2 + 7*t - 3. Give k(-8).
5
Let f(z) = z**2 - 2*z - 1. Calculate f(3).
2
Let h(n) = n**3 - 7*n**2 + 7*n + 8. Calculate h(5).
-7
Let x(o) = 21*o - 14. Determine x(1).
7
Let p(j) = j**2 - 4*j + 7. Give p(3).
4
Let i(h) = -h**3 - 14*h**2 + 13*h - 28. What is i(-15)?
2
Let q(x) = -x**2 - 5*x - 8. Determine q(-6).
-14
Let v(j) = j**3 + 24*j**2 - j - 33. What is v(-24)?
-9
Let u(s) = -s**3 + 13*s**2 - 20*s - 26. Give u(11).
-4
Let m(d) = d**2 + 6*d - 8. Calculate m(3).
19
Let n(r) = -2*r**2 + 44*r - 49. Give n(21).
-7
Let g(y) = -y**3 + 5*y**2 - 4*y - 4. Give g(5).
-24
Let c(f) = 42*f - 2. Give c(-1).
-44
Let r(o) = -o**2 + 13*o - 60. Determine r(6).
-18
Let o(s) = s - 9. Determine o(2).
-7
Let v(b) = b**3 + 6*b**2 - 29*b - 14. Determine v(-9).
4
Let b(r) = 17*r - 85. What is b(5)?
0
Let g(l) = -8*l + 55. What is g(4)?
23
Let n(q) = -q**2 - 2*q. Determine n(-4).
-8
Let j(y) = -y**3 - 6*y**2 - 4*y + 9. Calculate j(-4).
-7
Let i(a) = a**3 + 12*a**2 + 13*a + 13. Calculate i(-11).
-9
Let p(v) = 17*v - 175. Calculate p(10).
-5
Let p(s) = -7*s - 199. Give p(-30).
11
Let i(w) = 15*w - 247. What is i(16)?
-7
Let s(f) = 9*f + 209. Give s(-23).
2
Let s(t) = 3*t**2 + 26*t - 105. Calculate s(3).
0
Let n(k) = 2*k - 30. Determine n(6).
-18
Let c(s) = -s**3 - 5*s**2 + 7*s - 2. Determine c(-6).
-8
Let l(g) = 3*g**2 - 25*g. Calculate l(9).
18
Let n(a) = -2*a**3 - 2*a**2 - 2*a - 2. Determine n(-3).
40
Let i(l) = 2*l**2 + 69*l + 30. What is i(-34)?
-4
Let x(i) = 9*i - 98. Give x(12).
10
Let h(l) = 16*l + 2. Determine h(2).
34
Let m(w) = -w**2 - 20*w - 102. Give m(-12).
-6
Let c(y) = -y**3 + 2*y**2 - 6*y + 4. Calculate c(2).
-8
Let j(o) = 5*o - 5. What is j(4)?
15
Let u(b) = 2*b**3 - 4*b**2 + b + 3. What is u(2)?
5
Let n(h) = h**2 + 6*h - 19. Give n(-8).
-3
Let x(w) = w**3 - 19*w**2 + 35*w - 14. Calculate x(17).
3
Let d(f) = -f**3 + 5*f**2 - 2*f + 4. Determine d(4).
12
Let g(r) = r**3 + 2*r**2 - 4*r - 4. Determine g(-3).
-1
Let d(l) = l**2 + 58*l + 254. What is d(-5)?
-11
Let u(d) = -d**2 + 2*d - 5. Calculate u(5).
-20
Let r(k) = -k**2 - 9*k + 3. What is r(-7)?
17
Let r(x) = x**2 + 4*x + 3. Calculate r(-6).
15
Let z(g) = -g**3 + g**2 - g - 2. Calculate z(-2).
12
Let b(m) = m**3 - 14*m**2 + 17*m + 29. Calculate b(13).
81
Let v(n) = 21*n + 223. Give v(-11).
-8
Let n(s) = s. Give n(7).
7
Let u(w) = w**3 - 2*w**2 - 22*w - 3. What is u(6)?
9
Let j(n) = 61*n - 1156. Calculate j(19).
3
Let l(v) = 3*v**3 + 25*v - 24. Calculate l(1).
4
Let z(i) = i. Calculate z(6).
6
Let y(c) = 4*c**3 + 4*c**2 + 2*c - 1. Give y(-2).
-21
Let b(j) = -16*j + 8. Determine b(-5).
88
Let y(v) = -v - 11. What is y(-4)?
-7
Let y(u) = u**2 - 30*u - 46. Calculate y(32).
18
Let q(c) = -2*c + 16. Determine q(4).
8
Let g(j) = 3*j + 32. Determine g(0).
32
Let v(f) = f**2 + 11*f - 20. Calculate v(-10).
-30
Let o(x) = -x**3 - 9*x**2 + 2*x - 3. Determine o(-9).
-21
Let h(g) = g + 36. Calculate h(-23).
13
Let m(i) = i**2 - 16*i + 58. Determine m(10).
-2
Let m(v) = 41*v - 13. What is m(1)?
28
Let d(q) = q**2 - 17*q + 7. Determine d(14).
-35
Let p(z) = -16*z - 27. What is p(-2)?
5
Let g(z) = -z**3 - 11*z**2 + 7*z - 13. Calculate g(-12).
47
Let k(f) = 6*f**3 - 4*f**2 - 4*f - 2. Determine k(-1).
-8
Let i(g) = -11*g + 86. Give i(8).
-2
Let l(a) = -48*a - 8. Determine l(0).
-8
Let q(b) = 4*b + 8. What is q(-4)?
-8
Let d(g) = -g**2 - 12*g - 52. What is d(-9)?
-25
Let w(j) = -j**3 - 36*j**2 + 76*j - 6. Determine w(-38).
-6
Let t(h) = -2*h**2 - 35*h - 4. What is t(-17)?
13
Let f(w) = -w**2 + 25*w - 81. Give f(22).
-15
Let q(h) = -h**2 - 5*h - 2. Calculate q(-6).
-8
Let k(l) = -l**3 + 21*l**2 - 37*l - 25. Calculate k(19).
-6
Let h(n) = 3*n - 7. What is h(10)?
23
Let b(j) = -11*j**2 + 3*j - 2. Calculate b(2).
-40
Let s(y) = -6*y - 170. Determine s(-28).
-2
Let x(o) = o**2 + 4*o - 16. Calculate x(-8).
16
Let x(u) = u**3 + 4*u**2 - 4*u + 13. What is x(-6)?
-35
Let d(v) = v**3 - 12*v**2 + 22*v - 24. Determine d(10).
-4
Let s(f) = -f**2 + 2*f - 4. Give s(4).
-12
Let l(y) = 7*y - 85. Calculate l(12).
-1
Let f(j) = -2*j + 125. What is f(34)?
57
Let x(o) = -o - 5. Calculate x(-10).
5
Let i(t) = -t**2 + 29*t + 31. Calculate i(25).
131
Let k(q) = q**3 - 16*q**2 + 3*q - 40. Determine k(16).
8
Let p(y) = y**3 + 13*y**2 + 12*y + 3. Calculate p(-12).
3
Let c(s) = s**3 - 6*s**2 + 14*s - 82. Give c(6).
2
Let m(o) = o - 2. Calculate m(-9).
-11
Let c(w) = w**2 + 25*w + 42. Give c(-23).
-4
Let w(z) = z**3 + 23*z**2 + 26*z - 43. Calculate w(-22).
-131
Let z(x) = -15*x + 11. Determine z(-1).
26
Let g(f) = f**2 - 14*f - 46. Calculate g(19).
49
Let i(r) = 5* | {
"pile_set_name": "DM Mathematics"
} |
nteger?
-35
Let z = 691015.2678853 + 3641.7400747. Let w = z + -694575. Let l = w + -82. What is l rounded to 3 decimal places?
0.008
Suppose 0 = 4*u - 5*u + 6. Let o be (4/u)/(10/75). Suppose -i - y + 4999988 = -4*y, 3*i = o*y + 14999980. What is i rounded to the nearest 1000000?
5000000
Suppose 3*u = 4*n + 6858204, 5*u + 2365230 = -5*n - 6207490. Let y = n + 10614548. Suppose o + t = 3*t + y, 0 = 2*t. Round o to the nearest one million.
9000000
Let t = 9317 - 9346.63. What is t rounded to 1 dp?
-29.6
Let h = -0.183 - 768.817. Let b = 768.9999836 + h. What is b rounded to 7 dps?
-0.0000164
Let q = -1.1 + 1.1642. Let v = -0.06420299 + q. What is v rounded to 7 dps?
-0.000003
Let y = 196.609 + 0.191. Let v = y + -356.2. What is v rounded to the nearest ten?
-160
Let l = 48.49914 - 0.03414. Let w = -49 + l. Round w to one decimal place.
-0.5
Let w(x) = -166*x + 17. Let b be w(-5). Let y be (-1 + b*-17)*-11250. Suppose 0 = -6*j - 3*j - y. What is j rounded to the nearest 1000000?
-18000000
Suppose -3349055 = -2*u - 3*u + 5*j, 5*u = 3*j + 3349051. Suppose u = -5*t - 1136191. Round t to the nearest ten thousand.
-360000
Suppose 0 = -770*m + 879*m + 13007842. Round m to the nearest 1000.
-119000
Let v = 64.5 + -64.6252. Let b = 0.125196805 + v. Round b to seven dps.
-0.0000032
Let y(u) = -u**2 + 19*u + 44. Suppose -5*h + 5*q = 2 - 67, h - 4*q = -2. Let s be y(h). Let n be (-27 + 37)*s/4. Round n to the nearest ten.
160
Let h = 3.654825 - 3.645. What is h rounded to 3 decimal places?
0.01
Let i = 3593281.24000433 + -3593276. Let b = 5.24 - i. What is b rounded to seven decimal places?
-0.0000043
Let c = -13744 + 13743.65396. Let i = 0.34 + c. Round i to 3 decimal places.
-0.006
Let m = 20.513 + -20.5130039656. What is m rounded to six dps?
-0.000004
Let h = -27088.9999987233 - -27089. What is h rounded to seven decimal places?
0.0000013
Let w = 3879 - 3879.23452. What is w rounded to 1 decimal place?
-0.2
Let h = -373 - 153. Let x = h + 525.999784. Round x to four dps.
-0.0002
Let v = -11689.82032 + 11690. Round v to 3 decimal places.
0.18
Let k(z) = -35*z - 8. Suppose 0 = 3*g - 4*i + 34, 5*i - 2*i = 12. Let w be k(g). Let v be w/6 + (-7)/(-21). What is v rounded to the nearest ten?
30
Let n = -6141 + 6141.6482. Round n to 2 dps.
0.65
Let p(a) = 34*a**3 + 4*a**2 + 5*a + 24. Let d be p(6). Round d to the nearest 1000.
8000
Let t(b) = -21*b**2 - 77*b - 1440. Let m be t(-35). Round m to the nearest 1000.
-24000
Let n = 0.54652 + 519.39348. What is n rounded to the nearest 100?
500
Let w = -139.183 + 0.183. Let i = -2896 + 3023.7. Let d = i + w. What is d rounded to the nearest integer?
-11
Let g = 3.97 - 1.67. Let n = g + -2.2999073. Round n to five decimal places.
0.00009
Let y(a) = 2*a**2 + 8*a - 7. Let g be 32/(-144) + 76/18. Suppose -g*k + 7 + 13 = 0. Let x be y(k). What is x rounded to the nearest 10?
80
Let g = -23190.979149 - -23191. Round g to 4 decimal places.
0.0209
Let y = 1716.95148 + -1717. Let o = 2.05 - 2. Let f = y + o. What is f rounded to four dps?
0.0015
Let a = 538.868191 - -348684.138709. Let p = a - 349316. Let r = 93 + p. What is r rounded to 3 dps?
0.007
Let o(y) be the second derivative of -2267*y**4/12 + 3*y**3 - 143*y**2/2 - 3*y. Let t be o(7). What is t rounded to the nearest 10000?
-110000
Suppose 0 = -2*k + 5 - 25. Let b be 100/15*1*k*-717. Round b to the nearest ten thousand.
50000
Suppose 26*q - 74*q - 620527199 - 686032801 = 0. What is q rounded to the nearest 1000000?
-27000000
Let b = 47.908 + -48. Let f = 89.908 - b. Let t = f - 89.9999826. What is t rounded to 6 dps?
0.000017
Let t = -0.2659 - -0.2659000467. What is t rounded to 7 decimal places?
0
Let l = 21038.4826 + -21034. Let j = 4.5 - l. Let f = j + 53.7826. What is f rounded to the nearest 10?
50
Let i = 440.55 - 454. Let w = i + 0.45. Let n = 13.0000105 + w. What is n rounded to 6 dps?
0.000011
Let f be 2 + 4/((-4)/(-3)). Suppose -5*j = f*t - 6*j - 3617, -3*t + 2161 = 4*j. What is t rounded to the nearest 100?
700
Let f = 3.92 + -3.4. Let d = -0.35 + f. Let l = -0.17028 + d. Round l to 4 dps.
-0.0003
Let m = 4393542147.9708 + -4392782609. Let p = m + -759679. Let f = p + 140. Round f to 3 dps.
-0.029
Let u be (-4)/2*(-201306)/(-84). Let q = 2577 - u. Round q to the nearest one thousand.
7000
Let m = 311 - 200. Let d = -111.00000915 + m. What is d rounded to 7 dps?
-0.0000092
Let o = 46.92 + 0.58. Let g = 1.5 - o. Let j = -58.3 - g. Round j to the nearest integer.
-12
Let b = -249 - -321. Let r = b - 71.999791. Round r to four decimal places.
0.0002
Let s = 931.5 + 11.5. Let n = s + -894.3. What is n rounded to the nearest ten?
50
Let h = 0.120268 + -0.080151. Round h to four dps.
0.0401
Let p = -1527.87389 - -0.16389. Let i = 1556 + p. Let y = -28 + i. What is y rounded to 1 dp?
0.3
Let i = -522 + 887. Let w = i + -347.71. Let n = w + -17. Round n to 1 dp.
0.3
Let u = 0.2955 + 0.2715. Round u to 2 decimal places.
0.57
Let y = -7001 - -7001.000027419. Round y to 5 dps.
0.00003
Suppose -3*f + 2*p + 31415996 = 0, 4*f + p = 33819347 + 8068655. Round f to the nearest 100000.
10500000
Let x = -0.5244 + 0.5248429. Round x to 4 dps.
0.0004
Let v = -1594.99999733 - -1595. Round v to five dps.
0
Let n = 1336779 - 22218. Let r = n + -1314560.3200532. Let u = r - 0.68. What is u rounded to 6 dps?
-0.000053
Let h = -17 - -12. Let j = -186.35415 + 191.353. Let v = h + j. Round v to 4 decimal places.
-0.0012
Let v = 3036 - 3035.99997789. Round v to 5 decimal places.
0.00002
Let r = 201.161 + -201. Let t = 0.291 + r. What is t rounded to one dp?
0.5
Suppose -127*t + 1367625 = -106*t. Round t to the nearest ten thousand.
70000
Let u = 404184 - 1281184. Round u to the nearest 10000.
-880000
Let y = 13402 - 13401.71329. Round y to two dps.
0.29
Let k = -40.265 - -39.7. Let x = k + 0.5301. What is x rounded to 3 dps?
-0.035
Let z = 142.245 + -167.88. What is z rounded to 1 dp?
-25.6
Let z be (-1)/(-1 + (-24520)/(-24515)). Let k = -8963 - z. What is k rounded to the nearest 1000?
-4000
Let u = 131575.09522 + -131633.1. Let a = 58 + u. Round a to three decimal places.
-0.005
Let u be (-10)/(-6) + (-2)/3. Suppose 5*c = 5*y + 15, 0 = 6*y - 11*y - 5. Let l be 105 - 5 - 0/(u + c). Round l to the nearest 1000.
0
Let k = -459.84 - -435. Let d = 7.05 + k. Round d to the nearest integer.
-18
Let q(f) = -8046*f - 754. Let r be q(16). Round r to the nearest 10000.
-130000
Let h be (-29724438)/(-21) + (-1)/(9/(288/(-56))). What is h rounded to the nearest ten thousand?
1420000
Let k be (-226659)/(-12) + 27/((-2268)/(-147)). What is k rounded to the nearest one thousand?
19000
Let x = 589.7219 - 574.72. Let f = -76 + 61. Let i = x + f. What is i rounded to 3 dps?
0.002
Let b(k) = -12446007*k + 2. Let l be b(-2). Let w = 9807984 + l. Suppose 8*g = 9*g + w. What is g rounded to the nearest one million?
-35000000
Suppose -5*p = 16*p + 223423305. Let x = -18136205 - p. Round x to the nearest 100000.
-7500000
Let z = -104.20008894 - -104.2. What is z rounded to six dps?
-0.000089
Let f = 248.201 - 248. Let i = f + -0.1382. Round i to 2 dps.
0.06
Let k = -20065.0000044876 - -20065. What is k rounded to 7 decimal places?
-0.0000045
Let y = 55806 - 32455. Let h = 23350.917855 - y. Let i = -0.082 - h. Round i to 5 dps.
0.00015
Let a = -284 - -427. Let v = a + -142.99979. Round v to four dps.
0.0002
Let v = 3904.90733 + 0.09267. Let s = v - 3904.6499. Round s to 2 decimal places.
0.35
Let r = -54644 + 54643.99977723. What is r rounded to 4 dps?
-0.0002
Let u = -3.2763 + 3.33. Let m = 0.056426 - u. What is m rounded to four decimal places?
0.0027
Let x(q) = 35*q - 60. Let a = 88 - 128. Let m be x(a). What is m rounded to the nearest 100?
-1500
Let u = -50946.4 - -50946.0357791. Let v = u - 4.2858349. Let s = v + 4.65. Round s to 5 decimal places.
-0.00006
Let q be (-192)/(-14) - (2 + 384/(-168)). Let z be 2*(0/2 + 3). Let g be 1400/z*(q + -89). Round g to the nearest 10000.
-20000
Let y = 3296.9363 + -21829.4128. Let z = y - -18550.4765038. Let m = z + -18. Round m to five dps.
0
Let k = 16.91 + 0.09. Let m = k - 22. Let x = m - -4.974. Round x to 3 decimal places.
-0.026
Let q be (-578696)/6*(-210)/(-350)*950/(-4). Suppose -2*h - 62297809 = -609749. Let y = q + h. Round y to the nearest 1000000.
- | {
"pile_set_name": "DM Mathematics"
} |
p(-19). Which is smaller: -74/21 or n?
-74/21
Suppose -2*s - 36 = -50. Let f = s + -13. Let u be -50 + 0 + ((-6)/(-1))/f. Are -50 and u equal?
False
Let i = 0.22483 + 5.34517. Which is smaller: 1 or i?
1
Let n = 456.9899 + 0.0101. Let l = n + -456. Is l equal to 0.6?
False
Let v be (-4)/10 + 4/10. Let d be -2 + 1 - (13 + v). Let p = -505343 + 505330. Is d less than p?
True
Let v be (2 - -3)/(1*(-60)/(-48)). Suppose -2*t = -3*t + 24. Let k = t + -18. Which is smaller: v or k?
v
Let d = -0.0355 - -0.14533. Are d and -1 equal?
False
Let f(x) = 4*x**3 - 25*x**2 + 25*x + 85. Let a be f(6). Which is greater: -12 or a?
a
Let m = -34074 - -34141. Which is smaller: -42 or m?
-42
Suppose 3*v + 10*u - 14*u + 128 = 0, 0 = 5*v + 4*u + 160. Let p be v/48*(-1504)/18. Which is smaller: p or 63?
p
Let l = 143 - 424/3. Let n = -56829/8 - -7104. Which is greater: n or l?
l
Let n(h) be the third derivative of -h**4/12 + 7*h**3/6 + 4*h**2 + 8*h. Let b be n(3). Let i = 764/3357 + -2/373. Is i smaller than b?
True
Let i(j) be the second derivative of 11*j**4/12 - 10*j**3/3 + 46*j**2 + 130*j. Let x be i(4). Is 188 at least x?
True
Suppose 9*g - 10 = 11*g - 4*i, 0 = 4*g + 2*i. Is g at most as big as -473?
False
Suppose 0 = 4*g + 4*a - 60, 5*g - 3*a = 46 - 11. Let v be (-1185 - -1190) + (1 - -1). Is g bigger than v?
True
Let b = -316 - 73. Let q = 422 + b. Which is greater: 30 or q?
q
Let i be ((-154)/1386)/(16/42). Which is smaller: -0.1 or i?
i
Let q be -322 + (3 - 1)/(-10 - 1380/(-135)). Suppose 5*o = 4*o - 313. Is o greater than or equal to q?
True
Suppose -4*s + 360*x - 355*x = -815, -823 = -4*s - 3*x. Is s > 204?
True
Let b be (-2)/(-7) + -10 + 825/77. Let v be b - (8/6 - 0). Is v greater than 0.15?
False
Let f = -7.57 + -671.43. Let x = 636 + f. Is 2/13 greater than or equal to x?
True
Suppose 128*r + 60788 - 67410 = -281054. Does -2144 = r?
True
Suppose -2*q = 150*s - 154*s - 14, 3*q - 13 = 4*s. Which is bigger: 4/2359 or q?
4/2359
Let y be 168/(-91) - (1 + -1). Let f be (-6 + 3)*20/12*(-4)/70. Is y less than f?
True
Let k(l) = 31*l + 1250. Let t be k(-40). Do t and -1.28 have the same value?
False
Let u = -352/83 + 36087/8881. Is u < 1?
True
Let h be (-3)/(-12) - (-235)/4. Suppose -4*l - 3*t - h - 3 = 0, -2 = t. Let j be 10*-3*(-7)/l. Is j smaller than -14?
True
Let q be (1 + 91448/22855 + -5)*(-1)/(-10). Which is greater: q or 0?
q
Let o = 176.27 + -187.2. Is o less than or equal to -0.1?
True
Let p(v) = v**2 - 3*v + 1. Let o be p(4). Suppose o*c = -5*l - 0*c + 85, 5*c - 33 = -l. Is 13 smaller than l?
False
Let a = -12.7346 + -0.8354. Is -3 at least as big as a?
True
Let h = -9/11 - -227/264. Let w be -17 + 173/10 + (-11)/20. Is w < h?
True
Let u be (-1105)/(-975) - 4/4. Is u less than 14/3?
True
Let n be 10/65 - 501/(-39). Suppose -8*s = n*s + 126. Suppose 4*z = -13 - 15. Which is greater: z or s?
s
Suppose 6*y = y - 4*v + 2446, 0 = -2*y + 3*v + 960. Suppose 0 = -3*q - 2*b + y - 1376, 2*q + 595 = -b. Let j be (-6)/8 - 385/q. Which is greater: 2 or j?
2
Let t be ((-33)/22)/(6/7). Let f(d) = -d**2 + 19*d - 1. Let m = 178 + -159. Let s be f(m). Is s smaller than t?
False
Let g = 855/8 + -107. Let b be ((-2)/(-4))/(2*1/(-8)). Let n be (b/(-6))/((-17)/(-51)). Do n and g have the same value?
False
Suppose -9 = -41*v + 38*v. Let r be 34/(-90) + v/15. Which is smaller: r or -1?
-1
Let x(j) be the second derivative of -j**6/360 - j**5/10 + 3*j**4/8 - 19*j**3/6 - 2*j. Let g(q) be the second derivative of x(q). Let f be g(-12). Does 9 = f?
True
Suppose -m + 2*c - 6 = 0, 2*m + 14 = 5*m + 2*c. Let b(p) = 14*p**2 + 3*p. Let g be b(-3). Which is smaller: g or m?
m
Suppose 0 = -g, -2*r - 922 = -44*g + 45*g - 70. Is r at least as big as -426?
True
Let a(r) = -4*r + 18. Let c(p) = -8*p + 35. Let v(y) = -13*a(y) + 6*c(y). Let x be v(0). Let f be x/(-63)*18/312. Which is bigger: f or 1?
1
Let o be -1 - 0/((-1)/(-7) - (-368)/(-322)). Let q be ((-1)/(-9))/((-1)/10). Which is greater: q or o?
o
Suppose 20*f + 5*t + 20 = 23*f, 4*f + 3*t = -12. Let d = 664 + -26. Let x be -2 - (d/24)/(-11). Which is greater: x or f?
x
Let o = 11441 - 11423. Is o > 7/2?
True
Let u be (-286585920)/(-33984) - 4/(-118). Is 8432 > u?
False
Let b = -0.079 - -0.309. Let f = -86.77 - b. Which is bigger: -0.1 or f?
-0.1
Let u(w) = -53*w - 7. Let p be u(-5). Let b be (-2)/2 + 234/p. Does b = 0?
False
Let r be 10/8 - 3/(-4). Suppose -3*s + 19 = -r*z, 6*s = 4*z + s + 33. Let k = -43 + 303/7. Is z <= k?
True
Let s be (-481)/(-169) + 5 - 8. Let d = 2 - -3. Which is greater: d or s?
d
Let g be (-22)/(-3)*18/4. Suppose -73*c + 2430 = 17*c. Is g less than c?
False
Let w(o) = o**2 + 63*o - 64. Let c be w(-64). Is c at least 3/172?
False
Let i be (2*(-22)/(-12))/((-80)/15). Let p be (-2)/(-6) - (-2874)/8928. Let o = i + p. Is o < 0?
True
Let z be -5 + (9 - (-4 - -1)) + -7. Is z at most -34/1303?
False
Let x be -13 + 37 - (-2)/(-4). Let t be (-4 - (-237)/(-14)) + -3. Let u = t + x. Is u bigger than 2?
False
Let b = -675 + 676. Let q = -68 - -41. Let w = -24 - q. Which is smaller: b or w?
b
Let z be (12 - 16) + -23*28/(-158). Let q = 176/237 - z. Let g = 8.6 - 1.6. Which is bigger: q or g?
g
Let l = -293 + 90. Let j = l + 258. Which is smaller: 0.1 or j?
0.1
Let x(p) = -p**2 + 18*p + 214. Let l be x(26). Suppose -l*s = -8 + 50. Let j be (-102)/9 + (-1)/(-3). Which is smaller: s or j?
j
Let t(n) = -54*n - 541. Let i be t(-10). Which is bigger: -8/591 or i?
-8/591
Suppose 2*y - 403 = 8*o - 9*o, 3*o + y = 1184. Suppose -395*l = -o*l - 30. Which is smaller: l or 6?
6
Let g(m) = -m**3 - 34*m**2 + 2*m + 67. Let a = 250 + -284. Let p be g(a). Is -2/163 smaller than p?
False
Let u(g) = -471*g**3 + 2*g**2 - 5*g - 6. Let m be u(-1). Is 2 > m?
False
Let w = -9.2 + 8.3. Let j = -1 - w. Let t be (54/(-48))/((-6)/(-28)). Is j smaller than t?
False
Suppose 46 - 33 = 60*a - 47. Let t be (2 + (-148)/38)*-167. Let l = 316 - t. Is l at least a?
False
Let h = 6308.93 - 6309. Is h <= 241?
True
Let h(i) = -20*i**2 + 2002*i - 200. Let f be h(100). Is -2/3117 smaller than f?
True
Let p = 6399 + -7181. Which is bigger: p or -4?
-4
Let t be 5/30 - (-2597)/42. Let g be t/217 - 138/(-56) - 3. Do g and -48 have different values?
True
Let a = 78154237/540 + -144730. Is -1 less than a?
True
Suppose 3*l - 2*b - 12 = b, 0 = -3*l - 5*b + 44. Suppose -12 = 4*t - l*t. Suppose u = -3*f + 5, 4*f - 3*f = t*u + 5. Is 2/19 <= u?
False
Let s(z) = z**3 - 14*z**2 + 4*z - 11. Let l be s(13). Let u be l/(-595) + 2/(-7). Which is smaller: u or 1?
u
Let x = -21963 + 21964.12. Is -76 greater than or equal to x?
False
Let p = 4.9453 + 0.0547. Which is smaller: -1/309 or p?
-1/309
Let n = 1 + 0. Let y be 18/(-12)*4/151. Let k = y - -392/2265. Is k at most as big as n?
True
Let y = 139042 + -10706445/77. Is -2 equal to y?
False
Let v be (-5 - (-400)/20) + -16. Which is bigger: v or -31/645?
-31/645
Suppose -8*c - c - 2187 = 0. Let a = c - -198. Let t be (92*-1)/(-2)*-1. Is t at most a?
True
Let z be (0/(-5 - -10 - 6))/4. Is z < -2/757?
False
Let c = -24704/69 + 358. Let n = 30 - 26. Let l be (0/(-1))/(6 - n). Do c and l have the same value?
False
Let z = -2050.267 + 2050. Which is greater: -0.1 or z?
-0.1
Let x be (-11377)/(-11253) + 6/(-1 - 5). Let k be ((-1)/(-3))/(5/15). Is x bigger than k?
False
Let c be (-1 + (-3)/(-2))/(73/438). Let b be 3/(-2)*((-33)/9 + c). Which is smaller: -57 or b?
-57
Let v = -35763 + 35764. Which is smaller: -2090 or v?
-2090
Let a = -2489.7 + 2489. Is a > -524?
True
Let q = 88101 + -739607893/8395. Let f = 982223/33580 - q. Which is smaller: 30 or f?
f
Let a(c) = -2*c**3 + 40*c**2 - 17*c + 74. Let b be a(19). Which is smaller: 20 or b?
20
Let t = -337 - -409. Let b be ((-6)/(-420))/((-6)/t). Is b at least as big as 1?
False
Let k(m) = -2*m**2 - 70*m - 66. Let j be k(-34). Suppose j*h = 97*g - 98*g - 3, -5*h + 10 = -g. Which is greater: -2/403 or h?
h
Suppose -4*m - 16 = 0, 0 = 3*z + m + m + 176. Let a = z + 60. Let j = 4 - a. Do 4/11 and j have the same value?
False
Let i be (24/(-32))/((-21)/(-1400)). Suppose 4*j + 0*j = -40. Let c = i - j. Which is smaller: -41 or c?
-41
Let x = 603 - 602. Let h be ((-2)/294)/(4/16 + 0). Which is smaller: x or h?
h
Let n = 128 + -124.92. Let w = 3.78 - n. Which is smaller: w or 2/3?
2/3
Let z = -366 | {
"pile_set_name": "DM Mathematics"
} |
he remainder when (8925/(-34))/(-21)*(3 + -1) is divided by n.
7
Let z be (-316)/26 + (-56)/(-364). Let j(u) = -3*u**2 - 36*u + 12. Calculate the remainder when (-2)/(-4)*8*8 is divided by j(z).
8
Let x = 1091 + -754. Let f = x - 217. Calculate the remainder when f is divided by 32.
24
Suppose 3*n - 167 = 6*k - 7*k, -476 = -3*k - 4*n. Calculate the remainder when k is divided by (23 - 6)/(1/3).
50
Suppose 29*v + 10*v = 585. Let o(i) = -21*i + 6 + 30*i + 2*i**2 - 18*i. What is the remainder when v is divided by o(5)?
4
Calculate the remainder when 212 is divided by (26 - 18) + 4 + (-2)/2.
3
Suppose 237*u - 11*u - 35482 = 0. What is the remainder when 1758 is divided by u?
31
What is the remainder when 4209 is divided by (-1)/(-2) - (-357)/14?
23
Let w(u) = 3*u**2 + 6*u + 16. Calculate the remainder when 1319 is divided by w(2).
39
Let l(w) = -4*w - 6. Let u be l(-2). Suppose u*h = 174 + 94. What is the remainder when h is divided by 34?
32
Suppose -4*j = 5*v - 191, -19*v = 4*j - 23*v - 200. What is the remainder when 117 is divided by j?
19
Let g(l) = l**2 + 7*l - 67. Let t be g(-13). Suppose 13*h + t*h - 7608 = 0. What is the remainder when h is divided by 10?
7
Let t be 0/(-1 + 15/5 + -4). Suppose t = -12*m + 23*m - 253. Calculate the remainder when m is divided by 2.
1
Let o = -375 - -377. Suppose -3*g + 62 - 11 = -3*n, -3*n + 59 = o*g. What is the remainder when 64 is divided by g?
20
Let f(b) = b**3 + 12*b**2 + 14*b + 53. Suppose 4*i = -3*x + 62 + 63, 2*i - 70 = -4*x. Calculate the remainder when f(-10) is divided by i.
26
Let p be 35/9 - (-38)/342. Let g be p - (10/(-5) + -16). Suppose -g*q - 408 = -28*q. Calculate the remainder when q is divided by 14.
12
Let z = 1 - -4. Suppose 2*u - 490 = 2*d, 2*u + 18 = -4*d + 496. Suppose 0 = u*n - 236*n - 133. Calculate the remainder when n is divided by z.
4
Suppose 2100 = -556*r + 577*r. What is the remainder when r is divided by 76?
24
Let m(s) = 89*s + 15. Let r be m(1). Suppose -2*j = -10*j + r. What is the remainder when 113 is divided by j?
9
Let h(o) = o - 6. Let f be h(-17). Let k = 70 + f. Calculate the remainder when 93 is divided by k.
46
Let j(l) = -5*l**2 + 6*l - 12. Let c be j(3). Let r = -39 - c. Suppose 5*z + 5*v - 165 = r, 6*z - z - 156 = -2*v. What is the remainder when z is divided by 11?
8
Suppose 5 = -5*f + 5*j, 8*f - 3*f - 1 = -j. What is the remainder when 2 - -16*15/6 is divided by (f - 22)*12/(-24)?
9
Suppose -4*w = 4*x + 368, 3*w = -0*w + 3*x - 264. Let s = 112 + w. What is the remainder when 52 is divided by s?
8
Suppose -4*b + 1232 = 3*y - 7*y, -952 = -3*b - 4*y. Suppose -7*t = -19*t + b. What is the remainder when t is divided by 25?
1
Suppose -5301 = 16*n - 109*n. What is the remainder when n is divided by 1?
0
Suppose 1351 = 4*s - 229. What is the remainder when 13/78 + s/6 is divided by 19?
9
Let f be (-2 - 1)/(4 + (-26)/6). Suppose 12*z - f*z - 3 = 0, 4*j - 3*z - 85 = 0. Calculate the remainder when 87 is divided by j.
21
Let w be (4 - (-9)/(-2))*0/1. Suppose w*f - 5*f + u = -68, 0 = -3*f + 2*u + 45. Calculate the remainder when 43 is divided by f.
4
Let b(y) = 3*y + 2. Let h be b(-3). Let x be (h/((-105)/(-12)))/((-2)/10). Calculate the remainder when (1 - 0)/(4*x/1952) is divided by 31.
29
Suppose -33*j = -3944 + 886 - 1265. What is the remainder when 26198 is divided by j?
129
What is the remainder when (114/38 + 1 + -3)*1629 is divided by 32?
29
Let i be 7 - 32 - (0 + -2 + 0). Let u = -8 - -45. Let d = u + i. Calculate the remainder when 49 is divided by d.
7
What is the remainder when 657 is divided by 23 + (-20 - 16) - -97?
69
Suppose -536 = 5*z - 9*z. Suppose z = u - 4*f, 4*u + 7*f - 498 = 4*f. Calculate the remainder when u is divided by 32.
30
Suppose 3*t = -5*o + 178, -3 + 7 = -t. Let b = o + -42. Calculate the remainder when 57 is divided by (0 + b + -2)*-5.
27
Let d = -54 - 5. Calculate the remainder when 30 is divided by (-8)/(56/d) - 6/14.
6
Let a(g) = -g**3 - 90*g**2 - 339*g + 466. Suppose 2*s - 13 = s. Calculate the remainder when a(-86) is divided by s.
10
Let r be -4 - -6 - 2 - -10. Suppose -5*p + 56 = 3*i, 14*p + i = r*p + 42. Calculate the remainder when 23 is divided by p.
3
Let x = -233 - -278. Suppose -40*p + 45*p - 775 = 0. Calculate the remainder when p is divided by x.
20
Suppose 88*c + 13*c - 4817 = 1748. Calculate the remainder when 1229 is divided by c.
59
Let k(p) = 22*p + 30*p - 94 - 71*p. What is the remainder when 32 is divided by k(-6)?
12
Suppose 3*f - 20 = -2*f. Suppose -11*u + 0*u = 18*u. Suppose 0 = -2*h + f*b + 46, u = b + b. What is the remainder when h is divided by 4?
3
Suppose 9*k + 13 = 2965. Suppose -k = -28*z + 36. Calculate the remainder when 51 is divided by z.
12
What is the remainder when (-2)/8 - 5930/(-40) is divided by 1/4 + (-8910)/(-120)*(-1)/(-3)?
23
Calculate the remainder when 145 is divided by (33/(-18) + 9)*6.
16
Let b(z) = -8*z - 4. Let m be b(-1). Suppose v - 21 = m. Calculate the remainder when 36 is divided by v.
11
Let y(c) = -29*c + 2*c - 17862*c**2 + 86 + 17861*c**2. What is the remainder when 193 is divided by y(-29)?
25
Let v = 377 + -577. Let m = -74 - v. Suppose 0 = -4*x - 42 + m. Calculate the remainder when 54 is divided by x.
12
Suppose -m + n = 5*n + 22, -3*m + 5*n - 15 = 0. Let y = -7 - m. Suppose 4*c + 122 = k, 4*k + y*c = c + 524. What is the remainder when k is divided by 33?
31
Suppose 0 = 5*z + 5*g - 70, 4*z + 3*g = 7*z - 12. What is the remainder when 2055 is divided by z?
3
Let y(u) = -u**2 + 1542. Let i = 67 - 47. Calculate the remainder when y(35) is divided by i.
17
Let g(l) = -166*l + 203. What is the remainder when g(0) is divided by 77?
49
Let l be (-60)/160 - 915/(-8). Suppose -4*a = -2*a - l. What is the remainder when 624 is divided by a?
54
Let m = 71 - 10. Let q = 177310 + -177287. Calculate the remainder when m is divided by q.
15
Let c be (44/(-198))/(((-2)/18)/1). Suppose -c - 8 = -2*w. Let q(d) = d. Calculate the remainder when q(w) is divided by 5.
0
Suppose -54*l - 73*l + 2413 = 0. What is the remainder when 44 is divided by l?
6
Let v = 7354 - 7140. What is the remainder when v is divided by 101?
12
What is the remainder when 166 is divided by 56/(-42)*10*(-15)/20?
6
Let c(g) = 47*g + 273. What is the remainder when 135 is divided by c(-4)?
50
Let n(r) be the first derivative of r**3 - 11*r**2/2 + 71*r + 304. What is the remainder when n(11) is divided by 11?
5
Let x(b) = b**2 - 6*b - 5. Let g be x(5). What is the remainder when 4/g - 247/(-5) is divided by (-2)/((-4)/22) - (-52)/26?
10
Let x(c) = 129*c - 2 - 136*c + 2*c**2 + 0. Let g be x(5). Suppose -k + 8 + g = 0. What is the remainder when 37 is divided by k?
16
Let v(y) = -7*y**2 + 77*y + 103. Let p(i) = -i + 1. Suppose f + 5*u = 3 - 27, -5*u - 36 = 4*f. What is the remainder when v(12) is divided by p(f)?
4
Let r = -298 - -325. Suppose 2*i + 48 = 256. What is the remainder when i is divided by r?
23
Let t = -664 - -676. Suppose 4*a + 83 = 5*w, t*a - 9*a = 3*w - 51. Let x = 170 + -83. Calculate the remainder when x is divided by w.
12
Let o(j) = -6*j**3 - 7*j**2 - 4*j. Let f be o(-3). Let s = f - 90. What is the remainder when s is divided by 18?
3
Suppose -f = -3*f + 34. Suppose -3*y + 8*r - f = 4*r, -4*y - 5*r = 2. What is the remainder when 141 is divided by 23 - 5*(4 + y)?
15
Suppose 1 + 1 = m. Suppose 0 = m*p + 2*p - b - 136, -4*p + 5*b + 136 = 0. Let t(i) = 300*i + 1934. Calculate the remainder when t(-6) is divided by p.
32
Suppose 3540 = -6*u + 40*u - 14*u. What is the remainder when 535 is divided by u?
4
Let c be (-10)/(-4 - -9) + 4. Suppose 2*o = 3*h - c*h - 12, -5*h = 4*o - 4. What is the remainder when 11 is divided by (-1)/o - 30/(-8)?
3
Suppose -50 = -3*k + 13*k. What is the remainder when (-1)/(-4 - (-211)/53) is divided by (-36)/6*k - 3?
26
Suppose -3*o + 191 + 50 = f, -5*o - 3*f + 403 = 0. Calculate the remainder when 251 is divided by o.
11
Let u(a) be the second derivative of a**4/6 - 5*a**3/6 + 5*a**2/2 + 10*a. Let v = 566 + -538. What is the remainder when u(-6) is divided by v?
23
Let s(r) = 13*r - 536. What is the remainder when 687 is divided by s(52)?
127
Let f = 23 + -13. Suppose 75*t - 59*t - 6848 = 0. What is the remainder when t is divided by f?
8
Let h = -196 + 196. Suppose 13 | {
"pile_set_name": "DM Mathematics"
} |
2. Let b(p) be the third derivative of -p**6/240 + 17*p**4/8 + 34*p**2. Let d(n) be the second derivative of b(n). Give d(g(x)).
540*x**2
Let b(r) be the first derivative of -9 + 12 - 2 - 2*r**3. Let s(p) = 11 + 0 + p - 11. Determine s(b(g)).
-6*g**2
Let t(y) = 61*y. Let n(p) = -177522*p. Determine n(t(b)).
-10828842*b
Let k(m) = -m**2 - 3901*m. Let j(b) = -6227*b. Give k(j(l)).
-38775529*l**2 + 24291527*l
Let w(c) = 163*c. Let i(l) = -l + 5. Let n(y) = 8*y**2 - 24*y + 120. Let x(m) = -24*i(m) + n(m). Give x(w(d)).
212552*d**2
Let t(f) = -13257*f + 4430*f + 4433*f + 4458*f. Let h(d) = 17*d. Calculate h(t(b)).
1088*b
Let w(l) = l**3 - 13*l**2 + 10*l + 26. Suppose 2*q - 5 = 19. Let x be w(q). Let g(z) = 3*z + 5*z**x - 3*z - 6*z**2. Let s(h) = -2*h**2. Give g(s(j)).
-4*j**4
Let k(m) = -36*m**2 + 21*m - 21. Let u(l) = -7*l**2 + 4*l - 4. Let a(y) = -8*k(y) + 42*u(y). Let g(v) = -5*v + 32*v**2 + 5*v. What is g(a(t))?
1152*t**4
Let q(f) be the first derivative of -7*f**2/2 - 2176. Let j(m) = 239*m. Determine j(q(x)).
-1673*x
Let i(l) = 265*l - 66*l - 66*l - 61*l - 69*l. Let b(t) = -2*t**2 + 422. Calculate i(b(a)).
-6*a**2 + 1266
Let t(k) = 1282*k**2 - 617*k**2 - 1056*k**2. Let f(j) = -2*j**2. Give f(t(g)).
-305762*g**4
Let s(a) = -2*a. Let z(j) = -3116088 + 3116088 + 511*j**2. What is z(s(r))?
2044*r**2
Let m(b) = b. Let i(r) = -r**2 + 22*r + 37. Let p(q) = -10*q**2 + 231*q + 370. Let s(x) = 21*i(x) - 2*p(x). What is s(m(t))?
-t**2 + 37
Let j(s) = 1663447*s**2. Let b(y) = 13*y**2. What is b(j(k))?
35971726983517*k**4
Let i(a) be the first derivative of 4*a**3/3 + 4350. Let s(q) = 2727*q**2. Calculate s(i(r)).
43632*r**4
Let w(b) = 6*b - 3. Let m(u) = -2*u**2. Let s be m(1). Let a(k) = -5*k + 2. Let r(h) = s*w(h) - 3*a(h). Let n(i) = -1637*i - 4 + 1634*i + 4. What is r(n(v))?
-9*v
Let c(t) = 12*t**2. Let p(a) = -1363694*a**2 + a. Determine p(c(k)).
-196371936*k**4 + 12*k**2
Let l(c) = 16*c. Let p(b) be the first derivative of 7*b**2 - 26*b - 53. Let n(z) = -z + 2. Let m(j) = 78*n(j) + 6*p(j). Determine m(l(r)).
96*r
Let p(a) be the second derivative of 0*a**3 - 5/4*a**4 + 0*a**2 - 4*a - 4. Let u(b) = 2*b - 6*b + b. Give p(u(l)).
-135*l**2
Let f(b) = -8*b. Let n(z) = -199*z + 608*z - 2 - 212*z - 206*z. Calculate f(n(s)).
72*s + 16
Let x be ((-85)/34)/((-5)/4). Let n(p) = -6*p**x - 212039 + 212039 - 4*p. Let d(u) = -3*u**2. What is d(n(q))?
-108*q**4 - 144*q**3 - 48*q**2
Let f(u) = 3*u**2. Let l(k) = 26063981*k. Determine l(f(o)).
78191943*o**2
Let v(n) = -89*n. Let s(m) be the first derivative of 2*m**2 - 23. Let b(g) = -17*g. Let d(a) = 6*b(a) + 26*s(a). Calculate v(d(t)).
-178*t
Let k(s) = 74590 - 74590 - 6121*s. Let c(x) = x. Calculate k(c(a)).
-6121*a
Let j(y) = -7*y. Let f(s) = -23 - 78 + 27*s + 110. Give j(f(k)).
-189*k - 63
Let f(r) = 2*r**2 - 121*r. Let t(j) = 8*j**2 + 18. Let i(c) = -c**2 + 9. Let u(y) = 2*i(y) - t(y). Determine f(u(x)).
200*x**4 + 1210*x**2
Let a(y) be the third derivative of -y**4/12 + 16*y**2. Let n(x) be the third derivative of 2*x**4/3 - 175*x**2. Calculate a(n(u)).
-32*u
Let l(h) = -741*h**2. Let k(i) = 39*i**2 + 3*i. Determine k(l(r)).
21414159*r**4 - 2223*r**2
Let y(m) = -107835 + 2*m + 107835. Let j(o) = -45*o. Determine j(y(u)).
-90*u
Suppose 12 = 20*i - 16*i. Let a(h) = -3*h**2 + 2*h. Let p(r) = -r**2 + r. Let f(u) = i*a(u) - 6*p(u). Let z(o) = 4*o - 6*o - 7*o. What is z(f(x))?
27*x**2
Let j(h) = 9*h - 151365 + 151365. Let r(b) = -2*b**2 + 97*b. What is r(j(z))?
-162*z**2 + 873*z
Let m(w) = 19*w**2 - 33*w + 33. Let o(t) = -17*t**2 + 30*t - 30. Let v(h) = 10*m(h) + 11*o(h). Let x(n) = 171*n**2. Calculate v(x(f)).
87723*f**4
Let a(o) = -o + o - o**2. Let x(t) = 18*t**2 + 2*t**2 + 54 - 8 + 60*t + 44. Let s(u) = -2*u - 3. Let h(b) = -30*s(b) - x(b). What is a(h(i))?
-400*i**4
Let q(f) = -333*f**2 - f. Let w(n) = 24*n**2 + 18*n**2 + 22*n**2 - 79*n**2 + 16*n**2. Determine w(q(p)).
110889*p**4 + 666*p**3 + p**2
Let l(g) = 92*g**2. Let y(w) be the third derivative of -1/24*w**4 - 5*w**2 + 0*w + 0 + 0*w**3. Calculate y(l(j)).
-92*j**2
Let z(l) = -l**2. Let x(p) = p**2 - p - 6. Let y(b) = -6*b**2 + 5*b + 1059. Let g(f) = -5*x(f) - y(f). Calculate z(g(c)).
-c**4 + 2058*c**2 - 1058841
Let h be (56/(-10))/(3/(-30)). Let i(p) = h - 16*p - 56. Let c(b) = 5*b. Calculate i(c(g)).
-80*g
Let n(z) = -33*z - 12*z + 28*z - 46*z - 16*z. Let v(l) = 20*l**2 + 12. Let c(y) = -8*y**2 - 5. Let t(o) = -12*c(o) - 5*v(o). Determine n(t(a)).
316*a**2
Let f(r) = -90*r - 2. Let i(c) = -178*c - 5. Let y(w) = 5*f(w) - 2*i(w). Let j(h) = -2*h. Determine y(j(m)).
188*m
Let m(g) = 6*g - 8. Let v(i) = 1024069 + 16*i - 1024069. Give m(v(r)).
96*r - 8
Let r(c) = 2*c**2. Let y(m) = 12207*m - 66. Let s(a) = 6104*a - 30. Let u(b) = 11*s(b) - 5*y(b). Calculate u(r(w)).
12218*w**2
Let q(j) = 130*j. Let y(r) be the third derivative of 9*r**5/10 - 2*r**2 + 183. Calculate y(q(k)).
912600*k**2
Let x(a) be the third derivative of -13*a**5/30 - a**4/24 + 1159*a**2 + 2. Let y(k) = -11*k. Give x(y(m)).
-3146*m**2 + 11*m
Let w(j) = -14*j**2. Let t be 2*(10/(-4))/(23/(-46)). Let i(c) = -t*c + 10 - 10. Give w(i(r)).
-1400*r**2
Let a(i) = 6340*i - 12706*i + 6373*i. Let u(m) = -192*m. What is u(a(z))?
-1344*z
Let u(b) = -117*b**2 - 17441*b + 16371*b + 121*b**2. Let a(x) = -3*x. Determine u(a(t)).
36*t**2 + 3210*t
Let a(l) = 37672950*l. Let r(d) = -4*d. Determine r(a(b)).
-150691800*b
Let q(o) = 2*o. Let v = -67 + 112. Let x = -43 + v. Let m(a) = -a**x + 20*a**2 + 8*a**2. What is m(q(r))?
108*r**2
Let o(s) = 2*s + 42. Let p(g) = 43*g**2 + g + 18. Let b be p(4). Let d(m) = -b*m**2 + 711*m**2 - 2 + 2. Give o(d(z)).
2*z**2 + 42
Let w(y) = 2977*y - 5952*y + 2972*y. Let u(t) = -116*t + 2. Give u(w(l)).
348*l + 2
Let s(k) = -2*k**2 - 60*k + 3. Let r(q) = -2*q**2 - 40*q + 2. Let d(b) = -3*r(b) + 2*s(b). Let o(n) = 1667*n**2. What is d(o(z))?
5557778*z**4
Let d(f) = -31209*f + 2. Let j(x) = -39*x**2. Determine d(j(y)).
1217151*y**2 + 2
Let s(j) = 6*j**2. Let u(d) = 166*d - 42*d**2 - 166*d. What is u(s(i))?
-1512*i**4
Let g(h) = 13*h**2. Let l(o) be the second derivative of -o**4/24 - 95*o**2/2 - 19*o. Let i(p) be the first derivative of l(p). What is g(i(y))?
13*y**2
Let u(c) = 34*c - 103 - 102*c**2 - 17*c**2 - 79 - 90*c - 35*c. Let z(b) = -4*b**2 - 3*b - 6. Let g(a) = -6*u(a) + 182*z(a). Let l(w) = 13*w. Determine g(l(p)).
-2366*p**2
Let q(b) = -4191784*b. Let n(d) = 10*d**2. Determine q(n(h)).
-41917840*h**2
Let r(l) = 2001881*l. Let c(u) = -2*u. Give r(c(f)).
-4003762*f
Let a be (-4)/1*555/(-20). Suppose -3*q + 6*q - 3*l - 57 = 0, 5*q - l - a = 0. Let f(c) = q*c - c - 5*c. Let b(r) = -2*r**2. Determine b(f(z)).
-578*z**2
Suppose -r + 674 = 5*y, -14*y = -10*y + 3*r - 548. Let a(q) = -60*q**2 + y*q**2 - 70*q**2. Let f(w) = 6*w**2 + 1. What is a(f(z))?
144*z**4 + 48*z**2 + 4
Let x(t) = 59*t + 63*t - 203*t + 88*t. Let v(n) = -18*n**2. Calculate v(x(d)).
-882*d**2
Let d(j) = 22*j. Let g(a) = 37203142*a + 225*a**2 - 37203142*a. Determine g(d(y)).
108900*y**2
Let g = -344 - -344. Let p(t) be the first derivative of -22 + g*t**2 + 0*t + 1/3*t**3. Let y(l) = -4*l**2 - 5. Calculate y(p(h)).
-4*h**4 - 5
Let t(m) = 57*m**2. Let d(b) be the third derivative of -b**4/8 + 5*b**3/3 + 2394*b**2 - 1. Determine t(d(z)).
513*z**2 - 3420*z + 5700
Suppose 182*o + 198048 = 186*o. Let s(n) = o - 49512 - 8*n. Let f(y) = -11*y + 1. Determine s(f(d)).
88*d - 8
Let m(y) = y**2 - 3174*y. Let f(j) = 218*j**2 - 12*j + 24. Let r(l) = 91*l**2 - 5*l + 10. Let p(u) = -5*f(u) + 12*r(u). Determine m(p(c)).
4*c**4 - 6348*c**2
Let t(z) = 2*z**2 + 51. Let d(g) = 3. Let v(b) = 17*d(b) - t(b). Let h(j) = -135*j - 122*j - 39*j. Determine v(h(r)).
-175232*r**2
Let l(r) be the first derivative of 0*r**2 - 4/3*r**3 + 0*r - 44. Let j(d) = -d**2 + 0*d**2 - d**2 + 0*d**2. Determine j(l(y)).
-32*y**4
Let v be (-2)/11 + (-1689)/(-33). Let x be ((-442)/v)/(2/(-6)). Let a(i) = -18*i - 17*i + x*i. Let n(r) = 4*r. Determine a(n(f)).
-36*f
Let q(d) = -2*d**2. Suppose 0 = -2*u - 2 + 18. Suppose -u = -2*p, 2*c = 3*c - p - 2. Let z(x) = 64*x - c*x**2 - 35*x - 29*x. What is q(z(a))?
-72*a**4
Let n(l) = -3547945*l. Let k(w) = 12*w. What is n(k(x))?
-42575340*x
Let y(g) = -594 + 1199 - 4*g - 606. Let b(n) = -26*n**2. Give y(b(u)).
104*u | {
"pile_set_name": "DM Mathematics"
} |
t derivative of -205*w**4/4 + 871*w + 887. What is the derivative of c(f) wrt f?
-615*f**2
Let j be (-1)/(-2*(-1)/(-18)). Let v = 11 - j. Find the second derivative of -3*m - 6*m**v + 3*m - 6*m wrt m.
-12
Let w(i) = -6*i**3 - 10*i**2 + 3. Let r = 158 + -161. Let b(v) = -5*v**3 - 11*v**2 + 2. Let k(z) = r*b(z) + 2*w(z). Find the third derivative of k(d) wrt d.
18
Find the third derivative of -2*u**4 - 88*u**3 + 2*u**4 + 44*u**3 - 258*u**2 - 2*u**5 + 36*u**3 wrt u.
-120*u**2 - 48
Let p(r) be the second derivative of -r**4/6 + 8*r**3/3 - 4*r + 7. Find the second derivative of p(n) wrt n.
-4
Let k be -6 - -11 - (2 + 0). Suppose -5*w - k = -4*y, 0*y - 3*y = -5*w - 1. What is the third derivative of y*p**2 + 5*p**2 + 26*p**3 - 31*p**3 wrt p?
-30
Let m(n) = 463*n**4 - 34*n**2 - 11*n + 1. Let z(w) = -116*w**4 + 9*w**2 + 3*w. Let v(a) = -6*m(a) - 22*z(a). Find the third derivative of v(c) wrt c.
-5424*c
Let d(o) be the first derivative of -49*o**5/5 + 11*o**2 + 62. What is the second derivative of d(c) wrt c?
-588*c**2
Let k(v) = 117*v**2 - 203*v - 5. Let g(x) = -59*x**2 + 101*x + 2. Let s(o) = -5*g(o) - 2*k(o). Find the second derivative of s(l) wrt l.
122
Suppose 0*j = 8*j - 200. Differentiate 15*z**3 + j - 51 + 24 wrt z.
45*z**2
Let o(i) be the first derivative of -32*i**3/3 - i**2 - 102*i - 253. What is the first derivative of o(j) wrt j?
-64*j - 2
Find the second derivative of -1289*z**2 + 1289*z**2 - 41*z**5 - 3*z wrt z.
-820*z**3
Let n(q) be the third derivative of 0 + 0*q**3 + 0*q - 1/120*q**6 - 1/8*q**4 + 0*q**5 + 11*q**2. What is the second derivative of n(k) wrt k?
-6*k
Let h be (-1)/(3*(-2)/(-18)). Let g = h + 5. Differentiate 3 - 4*j**4 + 4*j**g - 4*j**2 + 8*j**4 with respect to j.
16*j**3
Suppose 5*y - y - 8 = 0. What is the third derivative of -18*s**2 + 10*s**2 + 21*s**y - s**4 wrt s?
-24*s
Let h(v) be the first derivative of 178*v**6/3 + 125*v**3 - 314. Find the third derivative of h(t) wrt t.
21360*t**2
Let p(z) = -365*z - 318. Let o(n) = -724*n - 638. Let j(c) = 4*o(c) - 9*p(c). Differentiate j(u) with respect to u.
389
Let b(v) = -v + 3. Let n(g) = g**2 - 8*g. Let c be n(8). Let x be b(c). Find the second derivative of 5*d - d**x - 13*d - d**3 wrt d.
-12*d
Let w(z) be the second derivative of -2/21*z**7 + 0 + 0*z**2 + 0*z**3 - 5/6*z**4 + 0*z**5 - 2*z + 0*z**6. What is the third derivative of w(a) wrt a?
-240*a**2
Find the second derivative of 347 + 4571*u**3 + 4*u - 11*u**5 - 4*u - 4571*u**3 + u wrt u.
-220*u**3
Let y be ((-16)/(-12))/(-3 - (-33)/9). Find the second derivative of -13*g**2 + y*g**2 - g - 24*g wrt g.
-22
Let t(l) = l**2 - 6. Let o be t(6). Suppose -3*f - 2*f = -5*x - o, f = -4*x + 6. Find the third derivative of b**6 - 2*b**f - 4*b**6 - 3*b**2 + 0*b**2 wrt b.
-600*b**3
Let g(s) be the second derivative of -166*s**3/3 + 229*s**2/2 + 280*s. Differentiate g(l) with respect to l.
-332
What is the third derivative of 5*o**3 - 23*o**6 - 5*o**3 - 11 + 5*o**2 - 148*o**6 wrt o?
-20520*o**3
Suppose w + 27 - 91 = 0. Differentiate -w*t + 43*t + 51*t + 15 with respect to t.
30
Let i = 33 + -26. Find the second derivative of 43*w - 48*w + 0*w**2 + i*w**2 wrt w.
14
Let s = -345 + 345. Let f(l) be the third derivative of 0*l**3 - 1/30*l**6 + 0*l**4 + 7*l**2 + 0 + s*l - 7/60*l**5. What is the third derivative of f(g) wrt g?
-24
Let b(m) be the first derivative of -10*m**6 - 155*m**2/2 - 129. What is the second derivative of b(c) wrt c?
-1200*c**3
Suppose -b = 5 - 1, -5*w - 3*b = -3. Suppose 3*q = -q + 5*n - 5, 5*q - 3 = -w*n. Find the second derivative of -13*t - 2*t - 4*t**5 + q*t**5 + 5*t wrt t.
-80*t**3
Suppose 6 = 2*i - 6. Let j(r) = -11*r**4 - 6*r**2 - 6*r + 12. Let u(d) = d**4 + d**2 + d. Let s(z) = i*u(z) + j(z). What is the derivative of s(v) wrt v?
-20*v**3
Suppose -103*n = -71*n. Let q(z) be the third derivative of n*z + 1/6*z**5 + 0*z**4 + 4/3*z**3 + 0 + 8*z**2. Find the first derivative of q(h) wrt h.
20*h
Let w(p) = 20*p + 6. Let i(s) = -s - 1. Let b(r) = -6*r - 6. Let f(l) = 2*b(l) - 11*i(l). Let a(n) = 10*f(n) - w(n). What is the derivative of a(c) wrt c?
-30
Let f(j) be the third derivative of 0*j**7 + 0*j**3 + 0*j + 0*j**6 - 1/8*j**4 + 8*j**2 + 0 + 0*j**5 + 1/28*j**8. What is the second derivative of f(d) wrt d?
240*d**3
Find the third derivative of 15*p + 16172*p**6 - 17023*p**6 + 13*p**2 - 10*p wrt p.
-102120*p**3
Let f(a) be the first derivative of 7*a**3 + 5 + 2*a + a - 9. Differentiate f(t) wrt t.
42*t
Suppose -5*v - 2*o = o - 9, 0 = 4*v - 5*o - 22. Find the second derivative of -2*t + 2*t**5 - v*t**3 + 3*t**3 wrt t.
40*t**3
Let n(w) = -358*w + 366. Let g(p) = 179*p - 185. Let b(z) = -11*g(z) - 6*n(z). What is the derivative of b(k) wrt k?
179
Let f(z) = 279*z + 8. Let t be f(3). Differentiate -t*v**2 + 845*v**2 - 18 - 9*v**3 with respect to v.
-27*v**2
Let u(b) be the second derivative of -b**4/12 - 7*b**3/6 - b**2/2 - b. Let n be u(-6). What is the third derivative of -73 + 3*q**6 + n*q**2 + 73 wrt q?
360*q**3
What is the second derivative of -30*y - 2 + 231*y**5 + 130*y**3 + 134*y**3 - 264*y**3 wrt y?
4620*y**3
Suppose -3*r - 7 - 2 = -3*f, 0 = 4*f - r - 3. Let y(j) be the third derivative of f*j + j**3 - 2*j**2 - 1/8*j**4 + 0. Find the first derivative of y(l) wrt l.
-3
Let y(z) = z**4 - z**3 - z**2 + 2. Let p(g) = -85*g**4 + 20*g**3 - 225*g**2 - 40. Let n(l) = p(l) + 20*y(l). What is the third derivative of n(o) wrt o?
-1560*o
Differentiate -81*n**2 + 18*n**2 - 5*n**3 - 7*n**2 + 7*n**3 + 246 wrt n.
6*n**2 - 140*n
Let c(n) = -121*n + 315. Let t(v) = -129*v + 314. Let a(k) = -6*c(k) + 7*t(k). Differentiate a(i) with respect to i.
-177
Suppose 0 = -13*w + 7*w + 30. Find the first derivative of -5 + f**4 + 27*f**4 + w + 3 wrt f.
112*f**3
What is the third derivative of -95*r**2 + 73*r**6 + 92*r**2 - 3*r**6 wrt r?
8400*r**3
Let p(b) be the first derivative of 5 + 0*b**4 + 11/3*b**3 + 0*b**5 + 0*b**2 + 2/3*b**6 + 0*b. What is the third derivative of p(d) wrt d?
240*d**2
Let q(p) = -p**3 - 8*p**2 - 10*p - 18. Let g be q(-7). Find the third derivative of 19*z**2 + 13*z**2 + 19*z**3 - 7*z**2 + g*z**2 wrt z.
114
Suppose 0*j = -3*j + 87. Find the second derivative of -42*u**2 + j*u**2 + u + 0*u wrt u.
-26
What is the second derivative of -175*y**3 - 51*y**5 + 23*y - 2*y + 175*y**3 wrt y?
-1020*y**3
Let r(q) be the third derivative of 1/10*q**5 + 0*q**6 + 0*q**4 + 0*q**3 - 1/105*q**7 + 0*q + 9*q**2 + 0. Find the third derivative of r(o) wrt o.
-48*o
Let q be 3/((-1)/2 - -2). Find the third derivative of -13*g**3 + g**q - 5*g**2 - 4*g**4 + 9*g**3 - 6*g wrt g.
-96*g - 24
Let x(q) = -q**3 + 5*q**2 + 2*q + 11. Let u be x(5). Differentiate 1 + 0 - 1 + 4 - u*s wrt s.
-21
Let k(u) = -502*u**3 + 18*u**2 + 23*u - 2. Let w(j) = -2008*j**3 + 71*j**2 + 91*j - 9. Let v(q) = 9*k(q) - 2*w(q). Find the third derivative of v(l) wrt l.
-3012
Let j(g) be the third derivative of 3*g**3 + 0 + 0*g**5 + 1/10*g**6 + 0*g**4 + 0*g - 13*g**2. Find the first derivative of j(y) wrt y.
36*y**2
Let x(a) be the third derivative of a**6/60 - 71*a**5/60 - 7*a**4/3 + 22*a**2 + 5*a. Find the second derivative of x(k) wrt k.
12*k - 142
Find the third derivative of 86*i**4 - 19*i - 4*i**2 - 86*i**4 + i - 25*i**6 - 3*i**2 wrt i.
-3000*i**3
Let u(p) = p**3 + 4*p**2 - 21*p + 3. Let d be u(-7). What is the second derivative of 8*v**3 + 0*v - v + 8*v + 18*v**d wrt v?
156*v
Let h be 110/15*3/2. What is the third derivative of -h*w**4 + 0*w**2 + w**2 - 5*w**2 wrt w?
-264*w
Let b(s) be the first derivative of -10/3*s**3 - 13/2*s**2 + 0*s + 23. Find the second derivative of b(h) wrt h.
-20
Let m(t) be the third derivative of -181*t**6/120 - 305*t**3/6 + 28*t**2. What is the first derivative of m(o) wrt o?
-543*o**2
Let l(i) be the first derivative of i**3/3 + 3*i**2 - 940*i + 690. Differentiate l(t) with respect to t.
2*t + 6
Let y(c) = 31*c**5 + c**3 - 90*c - 1. Let z(t) = -t**5 + t**3 - t - 1. Let q(i) = -y(i) + z(i). What is the second derivative of q(h) wrt h?
-640*h**3
Let b = 70 + -70. Let j(g) be the third derivative of -g**2 + 0 + 0*g**5 + 0*g + b*g**4 - 1/24*g**6 + g**3. What is the derivative of j(h) wrt h?
-15*h**2
What is the second derivative of 28*u**2 - 10*u - 2*u**4 - 1 + 35*u**2 + 4*u - 11*u**2 + 4*u wrt u?
-24*u**2 + 104
Let s(z) = 76*z**4 + 5* | {
"pile_set_name": "DM Mathematics"
} |
b be (-11)/9 + (-4)/(-18). Which is smaller: a or b?
a
Let p be (-2)/(8/(-12)) + -8. Let x be 2/((-1 + 0)/p). Let w = x - 8. Which is bigger: w or 0?
w
Suppose -16*a + 5*a + 264 = 0. Which is smaller: 25 or a?
a
Suppose -3*k + k = 5*i - 4, 3*i + 5*k - 10 = 0. Let s be (-3 - i/(-1)) + -9. Is -12 at most s?
True
Suppose 12*b = 8*b + 20. Let d = b - 19. Let v = 28 + -42. Does v = d?
True
Let c be ((-160)/(-128))/((-2)/104). Is -62 greater than or equal to c?
True
Let f = -116 + 125. Let k(n) = n**2 - 8*n - 10. Let r be k(f). Which is greater: r or 1/9?
1/9
Let x = 38 + -20. Suppose -4*v + 3*o = -16, o - 6*o = 2*v + x. Let b be (-2 - 1) + (-81)/(-21). Which is smaller: b or v?
b
Let a(q) = q - 1. Let v be a(1). Suppose -4*h - 2*p - 12 = 6, 5*h + 21 = -3*p. Let j be (-24)/(-35) - h/(-15). Which is smaller: v or j?
v
Let a = 2 + 1. Let y = 2 - a. Let x = -2 + y. Is 2 less than or equal to x?
False
Let r be ((-10)/(-25))/(3/30). Suppose 2*y = 6*y - 3*m - 79, -12 = -r*m. Suppose 31 = -4*h + 115. Which is smaller: y or h?
h
Let q be 164/14 + 2/7. Let i be 5 - 5/20*4. Suppose 0 = r - i*r + q. Is 7 bigger than r?
True
Let y = 4.25 - 0.25. Let l be 2/((-4)/8*-32). Let p = -11/24 + l. Which is smaller: p or y?
p
Suppose t + 10 = -5*o, t = 2*o + 3*o + 40. Let p be -1 + (-48)/t + 2. Is p bigger than -3?
True
Let u be (0/3)/((-136)/34). Which is bigger: u or -3/1807?
u
Suppose 4*o + 3 = 5*o. Let d be 12*(18/(-4) + o). Let a be (-58)/d + 1 + -4. Do -1 and a have different values?
True
Let l be (-639)/(-18)*(-14)/63. Which is smaller: l or -9?
-9
Let c = 15 - 10. Suppose -2*y + 5*a + 19 = 0, 5*y - 2*a = -a + 36. Let z = 8 - y. Which is greater: z or c?
c
Let y = 1141/76 + -15. Suppose -4*c = 2*l - 3*l + 5, -3*c + 4*l - 20 = 0. Is y greater than c?
True
Suppose 2*t + 3*f = 14, -2*t + 1 = -5*f + 19. Suppose -p + 6 = 5*c, -4*c - 4*p - 8 = -0*c. Suppose 0 = 5*r - c - 3. Are t and r nonequal?
False
Suppose 2*z - 3 = z, 3*m + 2*z - 69 = 0. Let a = m - 22. Let j(c) = -c**3 + 3*c**2 + 5*c - 3. Let r be j(4). Is r smaller than a?
False
Let p = 121 - 264. Do -2/7 and p have the same value?
False
Let m = -32 - -36. Suppose 2*d - 4*w - 22 = 0, -3*w = -5*d + 38 + 17. Let z = m - d. Is -7 at least as big as z?
True
Let n(d) = -12 + 0 + 11*d**2 - 12*d**2 - 15*d. Let m be n(-14). Let i = 23 - 21. Are i and m equal?
True
Let q = -307/2 + 1533/10. Let l be 0 + 0 - (-1 - -2). Is l > q?
False
Let l = -13 - 41. Is 0.08 equal to l?
False
Suppose 0 = -10*p - 4 + 4. Let k be p/((-6)/(-3) + -3). Is k <= 6/23?
True
Let j = -49 - 125. Let s be (-3)/(-9) + 46/j. Are s and 1 equal?
False
Let a = 106 + -74. Let f be a/48*-30*22/(-8). Which is smaller: 54 or f?
54
Let x be (-2)/11 + (-506)/(-121). Suppose 3 = -x*f + 71. Let v(k) = -k**3 + 18*k**2 - 17*k. Let c be v(f). Is c not equal to 2/33?
True
Let r be 81/(-2430)*10/(-4). Let b be (-2)/(-4)*-2*-1. Is b less than r?
False
Let g(i) = -i**3 - 6*i**2 - 3*i + 12. Let y be g(-7). Let l be y/(-48) + (-40)/(-30). Is 1 <= l?
False
Suppose 0 = r - 2*c - 0*c - 10, 5*r - 5*c - 75 = 0. Let f = -2.3 + 2.4. Is f >= r?
False
Let j(w) = -w**2 - 10*w - 3. Let c be j(-10). Let q = c - -1. Let f = q - -1. Are f and 1/4 nonequal?
True
Let m = -3 + 2. Let u be (-5*(-12)/(-16))/(156/(-8)). Is m greater than u?
False
Let p = -351/61 + 49289/244. Let q = 193 - p. Is -2 less than q?
False
Let m(f) = -f - 8. Let o be m(-5). Let p be 45*((-10)/(-3) + o). Suppose -b - u = -4*b + p, 2*b = -2*u + 2. Is -2 > b?
False
Let k = -35 + 36. Suppose 0 = i - 0*i + k. Let v be (1/3)/((-15)/9). Is v > i?
True
Suppose -f - 16 = 12*a - 17*a, -4*f - 10 = -2*a. Is f greater than or equal to -2/175?
False
Let u(f) = f**2 + 2*f - 591. Let o be u(0). Let t = o + 1802/3. Is t at most 9?
False
Let a be ((-13)/(52/(-112)))/(1 + 1). Suppose -r - 8 = 3*m, -4*r - 6*m - a = -3*m. Is -2 > r?
False
Let k = -109266255/10054276 + -1/147857. Let o = -43/4 - k. Let s(f) = f - 5. Let j be s(5). Is o at most j?
False
Let i = -76 + 186. Suppose 5*a - 5*d = -i, 3*d + 2*d = 0. Is -26 at most as big as a?
True
Let h be 6/(-4)*(-36)/27. Let o be 27/(-36)*h/(-12)*2. Is o at most as big as -41?
False
Let h(x) = -x**3 + 10*x**2 + 3. Let n be h(10). Which is greater: 7 or n?
7
Let x = 53 + -6. Let v(i) = -4*i**2 + 7*i - 9. Let q be v(3). Let s = q + x. Is s bigger than 24?
False
Let z = -43 - -87. Suppose 2*u = -3*i - z, 5*u = -3*i - i - 47. Suppose 2*v = 5*y + 90, -5*y - 42*v - 90 = -46*v. Is y equal to i?
True
Let x = 4.6 + -8. Let d = x - 12.6. Let i = d + 15.86. Which is bigger: -1 or i?
i
Let l be 16/1 + (-2)/2. Suppose -3*d + l = -0*d. Suppose -38*v + 190 = -0. Is v less than d?
False
Let o be (2 - -1)/((-6)/8). Let l be (-1)/(-2) - (-6)/o. Suppose -1 = 3*v - 4. Are l and v non-equal?
True
Let b(g) = g**2 - 7*g + 3. Let s be b(7). Suppose 0*i = -q - s*i + 19, 4*i = -5*q + 40. Let y(u) = -2*u**2 + 4*u + 4. Let k be y(q). Is k >= 0.2?
False
Suppose b + 1 = -4*w + 4, w - 3*b + 9 = 0. Which is greater: w or 1/146?
1/146
Let c be (-38688)/3868 - -7 - -3. Is -1 >= c?
False
Let d = -1929 + 48231/25. Let r be (-2)/(-6)*(-12)/4. Is d greater than or equal to r?
True
Let j(t) = -t - 4. Let v be j(-7). Let w be (-15)/(-10)*2/v. Is w not equal to 1?
False
Let x(r) = 16*r - 31. Let t be x(2). Which is greater: t or -1/11?
t
Let l be ((-112)/(-49))/4 - 30/77. Is l at most as big as -0.12?
False
Suppose -3*g - 47 = -44, 218 = s - 5*g. Which is smaller: s or 215?
s
Let l = 1022 + -117531/115. Let z = l + -793/1380. Let v = z - -1/3. Which is bigger: 2/5 or v?
2/5
Let c = -51 - 54. Let x = c - -104.5. Let i = -3 - 0. Do i and x have the same value?
False
Suppose -v + 3 = 4. Let o = -1005/13 + 77. Is v less than o?
True
Let i(v) = 2*v**3 + 8*v**2. Let k be i(0). Which is bigger: k or -4/967?
k
Let y be 0/((-7)/(7/(-2))). Let m be y + 4 + 162/(-39). Which is bigger: m or -0.2?
m
Let f be (6 + -7)/((-3)/24). Suppose f = -3*j + 11. Suppose -j = t + 8. Is -7 equal to t?
False
Let x = 8 + -7. Let r be ((-22 - x) + 1)/1. Let d = -23 - r. Which is smaller: d or 1?
d
Suppose 86 = -2*m + 2*t + 34, 38 = -2*m - 5*t. Which is bigger: m or -95/4?
-95/4
Let c = -502 - 42. Let q be 2607/6*10/(-8). Let b = c - q. Which is greater: b or -2?
b
Suppose 4*g = -5*w + 459, -5*w + 5*g = 4*g - 454. Suppose -25 = 6*y - w. Which is smaller: y or 10?
10
Let y = 42 - 20. Suppose -6*c + y + 20 = 0. Which is smaller: c or 5?
5
Let m(i) = 2*i**2 + 18*i - 2. Let o(t) = -3*t**2 - 2*t - 1. Let s be o(-2). Let p be m(s). Which is bigger: -4 or p?
p
Suppose -2*m - m + 6 = 0. Let w be 1/m - (-13)/(-22). Suppose 5*i - 5 = -0. Which is bigger: w or i?
i
Let y = 5.4 + -1.9. Let o = 28.4 + -32. Let u = o + y. Is u < -7?
False
Let g = 90 - 651. Is g less than or equal to -562?
False
Let d be 1473/30 - (-12)/8. Let w = d - 52. Let j = -4 - -2. Is j greater than or equal to w?
False
Let t = 40 - 40. Let b be (-1)/(-4 + 5 + t). Is b less than 2?
True
Let v be (-1 + (-9)/(-21))/(-2). Suppose 2*w + 8 = -5*r, 5*w = 4*r - 16 - 4. Is r at most as big as v?
True
Let x be (-1)/(0 - (-2)/10). Let j(u) = -u**3 - 7*u**2 - 8*u - 5. Let v be j(x). Let s be v + (-1 - -3) + 3. Which is greater: -13 or s?
s
Suppose -226 - 668 = 3*v. Is v not equal to -298?
False
Suppose -2*y + 7*y - 2 = -h, 6 = 4*y + 3*h. Let x = 1011/7 - 144. Which is bigger: x or y?
x
Let a be (4 + -5 + 8)*-1. Let y = a - -8. Let i = -2 + y. Does i = 1?
False
Let f = -304 - -306. Which is bigger: f or -84?
f
Suppose -19*b = -9 - 10. Which is greater: b or 1/399?
b
Let s(t) = t + 11. Let u be s(-8). Let z = 1.93 - 1.9. Let l = z - -5.97. Which is greater: u or l?
l
Let u be (-15)/(-33)*(-2)/(-5). Let q be (-10)/35 - 6/(-21). Is u > q?
True
Let r be 7/(14/(-6)) - -3. Suppose 0 = -r*h + 8*h + 56. Let d = -6 - 3. Are d and h unequal?
True
Let q be (-3)/(-21) + 102/21. Suppose -8*h = -q*h. Let a be 2/42 - (-2)/(-6). Which is greater: a or h?
h
Let o be -12*(-52)/(-65)*(-50)/12. Let t be 3 + o/(-17) - 1. Is t at least 0?
False
Let c(a) = -2*a**2 - a. Let u be c(-1). Suppose -3*t + 6*s - 8*s = 36, 0 = 5*s - 15. Let l = u - t. Is 13 not equal to l?
False
Let s = -95 + -9. Let h = -101 - s. Which is greater: h or 11/7?
h
Let r = 45.1 + -45. Which is greater: r or -0.87?
r
Let q be (0 - 206/9) + (-16)/(-24). Which | {
"pile_set_name": "DM Mathematics"
} |
tive of -1316*c**5*s**3 + c*s**3 - 105*c wrt c.
-26320*c**3*s**3
Differentiate -5*c**2*q**2 + 329*c + 74*q**2 - 12*q wrt c.
-10*c*q**2 + 329
What is the derivative of 10*f**2 - 28*f + 1236 wrt f?
20*f - 28
Find the second derivative of 86*m*w**3 - 757*m*w + 2*w**4 - 7*w**3 - 3*w - 1 wrt w.
516*m*w + 24*w**2 - 42*w
Find the first derivative of 2180*k**3 - 6787.
6540*k**2
What is the second derivative of -3443*o**2 - 3433*o wrt o?
-6886
Find the second derivative of 11441*r**4 + 16059*r.
137292*r**2
What is the derivative of 22*s*t*u**3 - 21*s*t*u**2 - 256*s*u**3 + 5*u**2 wrt t?
22*s*u**3 - 21*s*u**2
Find the second derivative of 1809*a**3 + 1531*a.
10854*a
Find the third derivative of -1286*f**6 - 801*f**2.
-154320*f**3
What is the third derivative of g**3*k*y**2 - 3*g**3*y**3 - 4*g**3*y**2 - 27*g**3*y - 26*g**2*k*y**3 - 2*g*k - 3*y**2 wrt y?
-18*g**3 - 156*g**2*k
Find the first derivative of -9*l**3*s + 683*l**3 - 7*s wrt s.
-9*l**3 - 7
What is the second derivative of -192*c**3*j**4 + 2*c**3*j**3 + c**3 + 198*c**2*j wrt j?
-2304*c**3*j**2 + 12*c**3*j
What is the third derivative of -58*i**4*u - 2*i**4 + 63*i**2*u + 2*u wrt i?
-1392*i*u - 48*i
Find the first derivative of -2417*o*z + 272*o - z wrt z.
-2417*o - 1
What is the third derivative of 162*w**5 + 2502*w**2?
9720*w**2
Differentiate -6176*f + 691 wrt f.
-6176
Find the first derivative of 442*a**3 - 657.
1326*a**2
Find the third derivative of -1535*s**6 + 158*s**2 + 6 wrt s.
-184200*s**3
Find the third derivative of -19*g**6 - 2*g**5*r + 2*g**3*r + 459*g**2 - 3*g*r wrt g.
-2280*g**3 - 120*g**2*r + 12*r
Find the third derivative of 10*w**4 + 8*w**3 + 10*w**2 + 1.
240*w + 48
Find the second derivative of 4*n**2*o**5 + 40*n**2*o**3 - 579*n**2*o wrt o.
80*n**2*o**3 + 240*n**2*o
Differentiate 1022*a**2*n + 9*a**2 + 2*a*n**4 - 54 with respect to n.
1022*a**2 + 8*a*n**3
What is the third derivative of -445*q**3*s**2 - q**2*s + 33*s**2 - 1 wrt q?
-2670*s**2
Differentiate k*l**2 + k*l - 3193*k - 101*l**2 - 2 wrt k.
l**2 + l - 3193
Find the third derivative of 44*o**5 - 7*o**4 - o**3 + 12*o**2 + 4*o + 1.
2640*o**2 - 168*o - 6
What is the third derivative of 229*p**2*r*s**3 - 2*p**2*r*s + 9*p**2*s**3 - 3*p**2*s**2 + p**2 - 3*r*s**3 - r*s**2 - 18 wrt s?
1374*p**2*r + 54*p**2 - 18*r
Find the first derivative of 96*g**3 - 2*g**2 + 430 wrt g.
288*g**2 - 4*g
What is the second derivative of i*q**2 + 2*i*q - 60*i + 2*q**3 wrt q?
2*i + 12*q
Find the third derivative of -89*q**6 - q**5 + 80*q**2 + 2*q.
-10680*q**3 - 60*q**2
What is the third derivative of -6320*f**3 + 5078*f**2?
-37920
What is the second derivative of 349*g*m*q**2 + 39*g*m - 2*g*q - 5*m**2*q**3 + 2*m**2 wrt q?
698*g*m - 30*m**2*q
What is the second derivative of -2*h*x**3 - 91*h*x**2 - 40*h*x + 3*h + 2*x wrt x?
-12*h*x - 182*h
Find the second derivative of -6823*n**2*u**2 + 6*n*u**2 + 67*n wrt n.
-13646*u**2
What is the derivative of 206*j**4 + 17 wrt j?
824*j**3
What is the derivative of 3*l**2*n*y - 1707*l**2*y - 2*l**2 - n**2*y - n**2 - 54*n wrt n?
3*l**2*y - 2*n*y - 2*n - 54
What is the third derivative of 129*i**4 + 169*i**2 wrt i?
3096*i
What is the first derivative of -6*o**4 - 22*o**3 - 417 wrt o?
-24*o**3 - 66*o**2
What is the third derivative of 180*t**6 + t**5*w - 8*t**2*w + 37*w wrt t?
21600*t**3 + 60*t**2*w
Find the second derivative of -117*a**5 - 2*a**4 + a**2 + 18038*a wrt a.
-2340*a**3 - 24*a**2 + 2
Find the first derivative of 41*q**3 + 19*q**2 - 12999.
123*q**2 + 38*q
Find the second derivative of 5*f**5*l**2 + 9*f**5 - 167*f*l**2 wrt f.
100*f**3*l**2 + 180*f**3
Find the first derivative of 574*h + 582 wrt h.
574
What is the second derivative of -47*l**5 - 13*l**4 + 3*l**3 + 515*l - 3 wrt l?
-940*l**3 - 156*l**2 + 18*l
Find the third derivative of -4760*s**3 - s**2 - 68*s + 7.
-28560
What is the derivative of 40*z + 28 wrt z?
40
Find the second derivative of -70*g*s**5 + 5*g*s - 31*g - 1 wrt s.
-1400*g*s**3
Find the second derivative of b**4*c + 7*b**3*c + 7*b**3 - 13*b + c wrt b.
12*b**2*c + 42*b*c + 42*b
What is the derivative of -2*f**3*g - 5*f**3*q**3 - 12*f**3*q**2 + 869*f*g*q**3 wrt g?
-2*f**3 + 869*f*q**3
What is the first derivative of 2164*i**3*v**4 - i**3 - 1064 wrt v?
8656*i**3*v**3
Find the third derivative of 2*l**6 + 71*l**3 - 152*l**2 + l wrt l.
240*l**3 + 426
Find the second derivative of -1097*r**3 + 130*r wrt r.
-6582*r
What is the first derivative of -4*a**2 + 6*a - 49?
-8*a + 6
What is the first derivative of -18*j**2*k**2*q + 11*j**2*k**2 - 10*j**2 - 36*q wrt k?
-36*j**2*k*q + 22*j**2*k
Find the second derivative of 1569*a*s**2 - 13*a*s - 4*a + 11*s wrt s.
3138*a
What is the second derivative of 10*o**3*p**3 + 15*o**3*p + 33*o*p**2 - 7*p**3 - 3 wrt o?
60*o*p**3 + 90*o*p
What is the second derivative of -3*f**2*x**2 - 2*f**2*x + 7*f*x**2 - 54*x wrt x?
-6*f**2 + 14*f
Find the second derivative of w**3 + 2048*w**2 - 2669*w wrt w.
6*w + 4096
Find the third derivative of 3*d**2*g**3 + 226*d**2*g - 9*d*g**2 + 3231*g**3 + 3*g wrt g.
18*d**2 + 19386
What is the second derivative of 15*i**3*o*y**2 - 503*i**3*o*y + i**3*y - 2*i**2*o + 104*i**2*y**2 - 3*i*y**2 + 2*o wrt y?
30*i**3*o + 208*i**2 - 6*i
What is the third derivative of -111*w*y**3 - 1624*w*y**2 - 2*y**3 wrt y?
-666*w - 12
Find the second derivative of -232*n**5 + 305*n wrt n.
-4640*n**3
Find the second derivative of -n**3*p**3 + 1088*n**3 - n**2*p + n*p**3 + 174*p**3 wrt p.
-6*n**3*p + 6*n*p + 1044*p
What is the second derivative of -2*y**4 + 117*y**2 - 59*y - 2?
-24*y**2 + 234
What is the third derivative of o**4*x + o**4 - 95*o**3*x - 2*o**3 + o**2*x + 4*o + 3*x - 21 wrt o?
24*o*x + 24*o - 570*x - 12
Find the third derivative of 553*f**3 - 2*f**2 + 272 wrt f.
3318
What is the second derivative of -2*a**3*k + 24*a**3 - a**2*k + a*k + a - 3*k wrt a?
-12*a*k + 144*a - 2*k
What is the second derivative of -3*c**4 - 690*c**3 - 5*c - 216?
-36*c**2 - 4140*c
What is the second derivative of -a**5 - 294*a**2*p + 5*a*p + 22*a - 2*p wrt a?
-20*a**3 - 588*p
Differentiate -2*s**4 + s**3*u + s**2*u*z - 19*u - 3*z with respect to s.
-8*s**3 + 3*s**2*u + 2*s*u*z
What is the first derivative of -167*b**3*g - b**3*j - 2*b**2*g*j + b**2 - 11*g*j wrt j?
-b**3 - 2*b**2*g - 11*g
Find the second derivative of 2*i**2*x**2 + 8*i**2*x + 7*i**2 + 5*i + 499*x**2 + 2*x wrt x.
4*i**2 + 998
What is the derivative of -5*z**3 + 139*z - 2572 wrt z?
-15*z**2 + 139
Find the second derivative of 125*k*u**2 + k*u + 3*u**2 - 426*u wrt u.
250*k + 6
What is the derivative of -7*o**3 - 39*o**2*w**2 + 86*w**2 - 2 wrt o?
-21*o**2 - 78*o*w**2
What is the third derivative of -41*l**6 + 64*l**2 wrt l?
-4920*l**3
What is the second derivative of -999*y**3 + 2*y**2 + y - 201?
-5994*y + 4
Differentiate -535*c + 17 wrt c.
-535
Find the second derivative of -6966*t**5 + t**2 + 24*t + 115.
-139320*t**3 + 2
What is the second derivative of -363*a*t**4 + 2*a*t + 16*a + 6*t**2 - t wrt t?
-4356*a*t**2 + 12
Find the third derivative of -3*i**6*x + 46*i**6 - 993*i**2*x wrt i.
-360*i**3*x + 5520*i**3
What is the first derivative of -40*i*t**3 - 2*i*t - 4056*i wrt t?
-120*i*t**2 - 2*i
What is the derivative of 174*h*m*z + 5*h*z - 3*m*z**3 - 3*z**3 wrt m?
174*h*z - 3*z**3
Differentiate -84*l**3 + 7*l**2 - l - 5431 with respect to l.
-252*l**2 + 14*l - 1
Differentiate 9*h**4 - 18*h**2*s + 2*h*s - 101*s wrt h.
36*h**3 - 36*h*s + 2*s
What is the third derivative of 37*m*v**5 - 63*m*v**2 - 7*m - 9*v**4 wrt v?
2220*m*v**2 - 216*v
Find the first derivative of -13680*b*x**3 + 3*x**3 + 31*x**2 + 21*x wrt b.
-13680*x**3
Differentiate 9*a**2 + 6*a - 136 wrt a.
18*a + 6
Find the third derivative of -479*u**5 - 4*u**2 - 273*u wrt u.
-28740*u**2
Find the second derivative of 2*n**3 - 107*n**2 + 15*n - 6 wrt n.
12*n - 214
Find the third derivative of -2*c**3*p**2*t + 70*c**3*t**3 - c**2*p**2*t + 2*c**2*p**2 - 7*c**2*p*t - 4*p*t**3 wrt c.
-12*p**2*t + 420*t**3
Find the third derivative of -82*s**4 - s**3 - 104*s**2.
-1968*s - 6
Find the second derivative of 3*n**3*x*y + 4*n**3*y**2 - 4*n**2*x*y + n**2*y**3 - 2*n*x - 7*x*y**3 - 2*x*y wrt y.
8*n**3 + 6*n**2*y - 42*x*y
Find the third derivative of -2100*q**5 + 1331*q**2.
-126000*q**2
What is the third derivative of -774*y**4 + y**3 - 466*y**2 wrt y?
-18576*y + 6
What is t | {
"pile_set_name": "DM Mathematics"
} |
e value of (-93)/465*-100*7/((-840)/(-25))?
25/6
What is (528/(-80))/((-570)/950)?
11
What is the value of (6/(-3600)*-25)/(((-10)/(-9))/5)?
3/16
What is the value of (6/(-27))/((-26)/(-2964)*-19*12/15)?
5/3
Calculate (1/3)/((-8)/(-864)*(1292/(-85))/19).
-45
What is the value of (300/(-1440))/((-2)/(88/165))?
1/18
Evaluate 1/((-8)/(-60)*((-693)/(-22))/(-21)).
-5
Calculate (((-27)/72)/(((-6)/(-4))/1))/(105/5460).
-13
(20/16*(-19)/(-57))/(208/1664)
10/3
Evaluate 187/(-10*583/(-530)).
17
3/((-153)/2)*(232/(-60))/58*5
2/153
Evaluate ((-102)/(-17))/(((-3)/164)/((-36)/288)).
41
What is 261*(-14)/42*(130/(-10))/(-39)?
-29
Evaluate (((-6)/4)/((-1332)/(-7696)))/((-84)/(-98)*7).
-13/9
What is (32/6)/((-2378)/(-24969))?
56
Calculate (5*(-17)/(-34))/((-11)/2).
-5/11
What is the value of 130/(25740/(-2673))*(-16)/6?
36
Calculate ((5/70)/((-24)/(-56)))/(86/(-129)).
-1/4
Calculate 1155/(-9240)*(-5512)/(-13).
-53
(168/784)/(((-4)/(-10))/(((-144)/(-10))/(-18)))
-3/7
What is the value of (96/(-1296)*27)/(((-2)/(-12))/1)?
-12
What is (((-4)/(-42))/(479/3353)*6)/((-3)/(-48))?
64
(-5*(-98)/(-315))/(110/660)
-28/3
Evaluate (616/(-11))/((-1)/((-3)/(-33)*11)).
56
(51/21*3)/((-49)/((-1372)/42))
34/7
What is (9/(-135))/((-1392)/928)?
2/45
(32/70)/(33156/406161)
28/5
Evaluate (((-120)/(-9))/(-4)*(-216)/(-576))/(1/4).
-5
Calculate (1308/2)/((-13974)/2329).
-109
What is (-38232)/(-19116)*1/((-14)/(-3))?
3/7
80/125*(-9125)/(-730)
8
Calculate (-132)/7*(1148/123)/14*(-6)/16.
33/7
Evaluate 54/(-9)*9933/(-1386).
43
Evaluate 23*(-68)/(-782)*-14.
-28
What is ((44928/4212)/(4/9))/(2*-1)?
-12
What is 2/26*(-22100)/(-2100)*7?
17/3
What is the value of (57/(-114114)*13)/((-1)/(-6))?
-3/77
Evaluate ((90/4)/(-5)*626/939)/(76/(-836)).
33
Calculate ((-39)/8)/(-83*822/(-45484)).
-13/4
What is 131690/2026*(1/(-5))/((-3)/(-3))?
-13
What is ((-1892)/(-55))/((6/4)/((-1530)/(-408)))?
86
Calculate (289/68*10/17)/(120/(-12)).
-1/4
Calculate (4/24)/(-2*5/90)*702/(-81).
13
What is the value of ((-51840)/(-300))/54*15*2/(-4)?
-24
Calculate (-98475)/18525*38/(-12)*1/(-2)*-12.
101
Calculate ((-495)/132)/(58/(-174)).
45/4
-6*(-12)/(-432)*12/2*(-34)/(-2)
-17
What is 50/214500*39*2/(8/10)?
1/44
Calculate (-43)/(48375/(-20))*10/4*20.
8/9
((16/40)/((-150)/5875))/(6/(-72)*4)
47
What is ((-319740)/(-3504))/(46/(-23)*10/(-8))?
73/2
Calculate (-5753)/(-523)*(-33)/3.
-121
What is the value of ((-1040)/45)/(-8)*24624/38304?
13/7
((-1612)/(-546))/((2310/882)/(-55))
-62
Calculate (-147)/(-75999)*(-572)/13.
-4/47
What is the value of 3*2/2*((-7)/(-1729))/(297/6435)?
5/19
What is the value of 3240/96*46/1035*-36?
-54
What is 104/(36/144*52)?
8
Evaluate ((3/15)/((-8)/170))/((14659/(-2740))/107).
85
Evaluate ((-21)/(-4))/((-515)/4120*2/2).
-42
What is the value of (35*46/36225)/(32/72)?
1/10
What is the value of 2/((-157)/((-1003230)/(-180)))?
-71
What is the value of (6*47/(-1551))/(2/(-220))?
20
89/((-96921)/132)*45/6
-10/11
Calculate ((-80)/((-23520)/(-441)))/((-6)/5).
5/4
Calculate (21/(-75))/(274/(-34250)).
35
27188/(-54376)*((-81)/30)/(1/5*2)
27/8
(15*(-9)/45)/(1/(-27))
81
(12/26)/(17974/10621)
3/11
Evaluate 240/70*-1*(-70)/10*1.
24
What is the value of ((-2105)/(-3368))/(20/(-152))?
-19/4
Calculate ((6/9)/((-22)/11))/(30/4140).
-46
Evaluate ((2816/154)/32)/(4/14*(-3)/(-6)).
4
Evaluate (-715)/100*2875/(-6325).
13/4
What is the value of -16*50*(-50)/(-2500)?
-16
What is (20/16*(-304)/(-76))/((-24)/(-6))?
5/4
What is (2337920/109590)/(-8*1)?
-8/3
Calculate (2/(-14))/((602516/1204)/113).
-1/31
Calculate ((-65)/(2860/(-12)))/((3/(-3))/(-11)).
3
What is the value of 28/7*(-30)/12*7/3185*-7?
2/13
((-3)/3*(-48)/(-18))/(414/(-15525))
100
Evaluate 8*(-16)/((-192)/(-657))*(-66)/396.
73
(740/(46065/249))/(2/29)
58
Evaluate (((-8)/18)/(2/(-3)))/(2065/(-24780)).
-8
((-139)/278)/(42/(-1128)*(-24)/(-84))
47
-7*2/(-12)*(-21)/(735/40)
-4/3
Evaluate -16*((-11025)/(-240))/(-49).
15
Calculate ((4/10)/(888/63640))/(6/9).
43
(-8)/6*187*93/527
-44
Evaluate ((-154*13/7150)/((-1)/(-10)))/((-4)/(-30)).
-21
Calculate (102/(-9)*(-39)/(-52))/(-2).
17/4
Evaluate (-24)/21*4445/(-2540)*2/77.
4/77
(-5*11/5005*2)/(11/((-385)/(-15)))
-2/39
What is (28*3300/(-21560))/((-130)/(-28))?
-12/13
What is the value of -11*204/3927*(-6)/8?
3/7
Calculate ((-5)/20)/((-1329)/(-196692)).
-37
Evaluate 7/1*163/(-61125)*75.
-7/5
What is (-16)/(20*(-40)/1600)?
32
What is (441/(-35))/((-11809)/(-75915))?
-81
What is the value of (-10)/((54/(-8))/((-585)/520))*12/(-350)?
2/35
Evaluate (-2)/36*1*((-2)/(-20))/(252/1680).
-1/27
Evaluate ((520/70)/(-13))/((20/(-14))/(4/4)).
2/5
What is 696/(-32)*1*84/27*162/(-189)?
58
What is 236/(-531)*6/(-4)?
2/3
1*-5*(-27)/(-315)*28*260/(-546)
40/7
What is 1/(-2)*(-233)/(51493/(-34))?
-1/13
Evaluate 1696/(-159)*(-465)/1736.
20/7
Calculate 3*52/20*23/((-138)/(-20)).
26
Calculate (-151767)/(-14454)*18/(-7).
-27
Calculate 233/((-104850)/(-1500))*(-3)/2.
-5
((-16)/(-1560)*442)/((-4)/3)
-17/5
Calculate (130/120*(-172)/(-43))/(3*2/36).
26
(-27)/(-216)*1/(190/(-240))
-3/19
What is ((-14)/16)/((-88)/14080*20)?
7
Evaluate (12/(7776/(-8)))/(((-4)/(-6))/1).
-1/54
What is the value of (6/286)/(93276/(-228008))?
-2/39
((18/15)/((-143)/(-55)*3))/((-1169)/(-91))
2/167
Calculate (-6)/(-176)*(-9888)/(-412)*66/18.
3
What is the value of (-9)/(-45)*30*15/(-180)?
-1/2
What is the value of 440/(-88)*(-13)/((-65)/(-121))?
121
What is the value of (-1090)/75*((-2375)/380)/(25/30)?
109
What is 646/85*(-414)/(-55062)?
2/35
What is the value of (10/24)/(8495/(-15291))?
-3/4
(-393)/(-917)*3010/(-1419)
-10/11
Calculate (-555)/74*15/((-105)/14)*(-17)/(-510).
1/2
What is the value of 85/6*789/4471*(-14)/10?
-7/2
Evaluate ((-2412)/12)/(4/(240/180)).
-67
(-39)/1677*43*(29/2)/((-2)/4)
29
Evaluate ((105/(-3))/5)/(((-8)/(-32))/(90/(-36))).
70
Calculate ((-24)/72)/((-20)/(-6))*3/(54/(-24)).
2/15
What is (108/684)/(2223/722)?
2/39
What is (792/(-385))/24*(-17)/(153/(-135))?
-9/7
Evaluate 25/4*(-3984)/(-11620)*7/1.
15
Evaluate (44/70)/(23155/63150).
12/7
What is ((-50)/1925)/(31/1302*-8)?
3/22
Evaluate 19/((6/((-882)/49))/((-4)/(-12))).
-19
What is the value of (7007/637)/((-11)/39)?
-39
What is -7*(152366/(-406))/(-37)?
-71
Evaluate (-40)/((4/(-9))/(13/(1638/(-28)))).
-20
Calculate ((-2)/24)/((-2750)/693000).
21
Evaluate (-12)/21*5439/74*(-36)/27.
56
Calculate ((-5)/(75/(-135)))/((2/3)/(78/(-117))).
-9
Evaluate (560/(-196))/(48/168).
-10
Evaluate ((1062/(-4130))/(6/(-10)))/5.
3/35
What is (80/(-1950)*-5)/(44*(-39)/(-7722))?
12/13
What is (262/(-131))/((88/24)/11)?
-6
Evaluate (-520)/(-1508)*(-12)/300.
-2/145
What is (0/56)/((-17)/(170/(-20)))?
0
Calculate (394/((-157600)/1400))/((-91)/(-3)).
-3/26
Calculate 756/315*(-30)/(-108)*(372/3)/(-4).
-62/3
Calculate (((28/(-4))/(-7))/196)/(((-783)/232)/9).
-2/147
What is (((-684)/(-247))/(18/27))/((-9)/78)?
-36
What is (-4)/(-28)*((-87)/1740)/((-6)/6)?
1/140
What is 84/(-7)*205/(-20500)?
3/25
Calculate 1/15*8370/(-4650).
-3/25
What is (-9*(-8)/36)/(((-1)/(-2))/((-1)/6))?
-2/3
-33*(-213)/71071*-7
-9/13
167670/16560*(-32)/3
-108
What is (583424/(-19264))/(((-12)/(-7))/6)?
-106
What is the value of (28970/(-17382))/((15/18)/((-4)/50))?
4/25
What is ((-1)/((-4)/3))/((-102)/9384*-230)?
3/10
25*75*98/520625
6/17
Calculate ((-3)/(-12)*-1)/(((-851)/1184)/(21/84)).
2/23
Calculate (-14)/2*(-13549)/(-5579).
-17
(-155)/(-465)*-138*(-4)/4
46
What is 18945/(-5052)*(-12)/(-45)?
-1
84/375*1150/92
14/5
What is (-728)/13*(-208)/182?
64
What is (61/1708)/((-310)/651)?
-3/40
What is the value of (((-23)/(966/532))/(4/3))/(42/(-84))?
19
Evaluate ((2/(-2))/(-4)*4/2)/((-1)/(-80)).
40
Evaluate (34272/(-2040))/(((-72)/(-64))/((-30)/(-8))).
-56
Calculate (-810)/36*102/595*-7.
27
64/1344*(-3)/2
-1/14
Evaluate ((-1130)/20340)/((-5)/400*-4).
-10/9
Calculate ((-4)/(-24)*-1)/(141/10575)*4.
-50
What is (-1921)/(-182495)*(-684)/(-4)?
9/5
Calculate (9*(-16)/96)/(21/3248*4).
-58
What is 24/15*(-60)/(-312)*((-84)/14)/36?
-2/39
Calculate ((-10)/(-8)*3162/(-2635))/(3/(-64)).
32
What is (3/(-4))/(((-1203)/10426)/(5/(390/108)))?
9
Calculate 76/(-94)*(-100627)/8564.
19/2
Calculate -5*(-2)/(-8)*(-481)/(-325)*10*-2.
37
What is (33/(-12))/((-1092)/728*(-2)/(-36)*3)?
11
What is 32*(-75)/(-400)*5/150*-22?
-22/5
What is the value of ((-4)/((-4)/(-2)))/(((-2)/11)/((-12 | {
"pile_set_name": "DM Mathematics"
} |
9 + 33. Let g(h) = -9*h**3 + 7*h. Let q(c) = v*g(c) + 5*o(c). Find the second derivative of q(u) wrt u.
-24*u
Let c(b) be the third derivative of -13*b**8/112 + 31*b**5/60 - 27*b**2. What is the third derivative of c(h) wrt h?
-2340*h**2
Suppose 4*p + 0*a + 2*a + 32 = 0, 0 = -2*p - 4*a - 22. Let m = p - -10. Differentiate 0*n + 2*n + n + m wrt n.
3
Let b(y) = -y**3 - y. Let x(u) = 2*u**4 - 25*u**3 - 3*u**2 + 6*u. Let g(p) = -2*b(p) + x(p). Find the third derivative of g(o) wrt o.
48*o - 138
Suppose -5*h = -o - 38 - 16, -20 = 5*o. Suppose -p = -0*p + 5*n - h, -4*p + 6 = 3*n. Find the third derivative of p*i**4 + 0*i**4 + 2*i**2 - 2*i**6 wrt i.
-240*i**3
What is the third derivative of -33*b - 28*b**3 + 13*b - 35*b**2 + 20*b wrt b?
-168
What is the second derivative of 10*j + 7*j + 12*j - 6*j**4 + j wrt j?
-72*j**2
Let b(l) be the third derivative of l**9/168 - l**5/15 + 7*l**2. What is the third derivative of b(t) wrt t?
360*t**3
Let a(i) be the first derivative of 0*i + 0*i**2 + 1/4*i**4 - 3 + i**3. What is the third derivative of a(l) wrt l?
6
Let v(c) be the second derivative of 1/2*c**2 + 0*c**4 - 1/30*c**6 + 0*c**5 - c + 0*c**3 + 0. Differentiate v(j) wrt j.
-4*j**3
Suppose 2*k - 3 + 1 = 0. Let s be k/2 + 3/2. Differentiate -2*d + 1 + 2 - s wrt d.
-2
Let y = 0 - -4. Find the second derivative of -4*s + y + s + s**2 - 4 wrt s.
2
Let f(w) = w**2 - 7*w + 21. Let n(q) = -3*q + 10. Let z(d) = 3*f(d) - 7*n(d). What is the derivative of z(t) wrt t?
6*t
Let d(p) be the first derivative of -2*p**3 - p**2 - 5. What is the second derivative of d(m) wrt m?
-12
Let i(o) be the first derivative of -12*o**7/7 - 10*o**3/3 + 8. What is the third derivative of i(g) wrt g?
-1440*g**3
Let d(c) = 12*c**5 - 5*c**4 - 5*c**3 - 12*c + 5. Let w(p) = p**5 + p**4 + p**3 + p - 1. Let n(m) = -d(m) - 5*w(m). Find the second derivative of n(h) wrt h.
-340*h**3
Let g(x) be the third derivative of x**5/12 + x**4/4 - 7*x**2. What is the second derivative of g(j) wrt j?
10
Let b(t) = 5*t**3 + 2*t**2 + 28*t + 2. Let q(s) = 6*s**3 + 3*s**2 + 27*s + 3. Let d(i) = 3*b(i) - 2*q(i). Find the second derivative of d(n) wrt n.
18*n
Let g(y) = 7*y**3 + 4*y**2 - 4*y. Let b(w) = -w**3 - 3*w**2 + 1 - 7*w**3 + 5*w - 2*w**2. Let l(c) = 4*b(c) + 5*g(c). What is the first derivative of l(i) wrt i?
9*i**2
Find the second derivative of s**2 + s**2 - 12*s + 9*s wrt s.
4
Let m be (-1)/(-6) - (-11)/6. What is the second derivative of 2*g + 2*g**2 + 0*g**m + 2*g - g**2 wrt g?
2
Let r(b) be the third derivative of -5/6*b**3 - 1/20*b**6 + 0*b**5 + 0*b - 7*b**2 + 0*b**4 + 0. Find the first derivative of r(j) wrt j.
-18*j**2
Let z = -4 - -4. Let g = z + 2. Find the third derivative of 2*x**2 + 2*x**5 + 2*x - g*x wrt x.
120*x**2
Let n be 105/12 - 2/(-8). Let g = -3 + 5. Find the second derivative of -g*w**4 + n*w**2 - w - 9*w**2 wrt w.
-24*w**2
Let d = -24 + 30. Let h(y) be the third derivative of 0 + 0*y**4 - 1/210*y**7 + 0*y**5 + 0*y**d - 1/6*y**3 + 0*y + y**2. What is the derivative of h(r) wrt r?
-4*r**3
Let i(h) be the second derivative of h**6/30 - h**4/4 + 7*h. Find the third derivative of i(j) wrt j.
24*j
Let y = 26/51 + -3/17. Let n(t) be the second derivative of -2*t + 0 - 3/2*t**2 + y*t**3. What is the first derivative of n(s) wrt s?
2
Let k(g) be the first derivative of -26*g**2 - 29*g + 15. Differentiate k(m) with respect to m.
-52
Let h(s) be the third derivative of -s**6/20 + s**3/3 + 3*s**2. Differentiate h(k) with respect to k.
-18*k**2
Let p(a) = 10*a**5 - 8*a**4 + 10*a - 8. Let z(l) = -l**5 + l**4 + l + 1. Let m(s) = p(s) + 8*z(s). What is the second derivative of m(w) wrt w?
40*w**3
Find the second derivative of 69*v**3 - 2*v - 7*v - 64*v**3 wrt v.
30*v
Let y(n) = 31 + n + 4*n**2 + 2*n - n - 34. Let k(z) = 9*z**2 + 4*z - 5. Let d(q) = -3*k(q) + 5*y(q). What is the second derivative of d(j) wrt j?
-14
Let c(q) be the first derivative of 0*q**4 + 0*q**3 + 2 + 2/5*q**5 + 0*q + 7/2*q**2. What is the second derivative of c(s) wrt s?
24*s**2
Let m(v) be the third derivative of 0 - 2*v**2 + 1/20*v**5 + 0*v - 1/4*v**4 + 0*v**3. Find the second derivative of m(c) wrt c.
6
Suppose 4*u - 4 = 2*s, 3*s + 47 = 7*s + 3*u. What is the second derivative of m - m - 2*m + 5*m**3 + s*m wrt m?
30*m
Let s = 25/18 + -8/9. Let y(b) be the first derivative of -2 - 2*b + 0*b**2 + 0*b**3 - s*b**4. Differentiate y(r) wrt r.
-6*r**2
What is the first derivative of 5*h**3 - 40*h**4 - 5*h**3 - 38*h**4 + 43 wrt h?
-312*h**3
Let p(q) be the second derivative of 3*q**5/2 - q**2 - 32*q. What is the derivative of p(c) wrt c?
90*c**2
Let y(m) be the first derivative of m**7/35 - m**4/12 - 7*m**2/2 - 2. Let u(j) be the second derivative of y(j). What is the second derivative of u(b) wrt b?
72*b**2
Find the third derivative of x**5 - 3*x**5 + 19*x**2 + 2*x**5 + x**5 wrt x.
60*x**2
Suppose q = -q. Suppose q*s = 3*s. What is the second derivative of -b + s*b**3 - b - 2*b**3 wrt b?
-12*b
Let u(g) be the second derivative of 11*g**7/42 + 5*g**3/3 - 12*g. Find the second derivative of u(c) wrt c.
220*c**3
Let b(j) = -2. Let d(l) = l + 4. Let a(p) = -11*b(p) - 6*d(p). Differentiate a(s) wrt s.
-6
Let w(c) = 5*c**2 - 4*c - 1. Let m(u) = 5*u**2 - 3*u. Let k(s) = 4*m(s) - 3*w(s). What is the first derivative of k(n) wrt n?
10*n
Let y(w) be the first derivative of 2/3*w**3 + 1/4*w**4 - 2 + 0*w + 0*w**2. Find the third derivative of y(h) wrt h.
6
Let q(a) = 0*a**5 - 1 - a + 3*a**4 - a**5 - 2*a**4. Let x(b) = -6*b**4 + 7*b + 6. Let n(h) = 6*q(h) + x(h). Find the second derivative of n(k) wrt k.
-120*k**3
Let m(a) be the second derivative of -a**4 - 4*a**3/3 + 9*a. What is the second derivative of m(y) wrt y?
-24
Suppose -3 + 1 = -3*z - x, 5*z - 5*x = 10. Let y = 1 + z. What is the third derivative of 4*l**3 + 13*l**2 - 9*l**2 + 2*l - y*l wrt l?
24
Let a be (-46)/(-10) - 2/(-5). What is the third derivative of 2*k**a + 0*k**5 + k**2 - k**5 wrt k?
60*k**2
Let i(a) be the third derivative of -a**4/3 - 7*a**3/6 - 2*a**2. Let b(j) = 1. Let n(o) = 6*b(o) + i(o). What is the first derivative of n(w) wrt w?
-8
Suppose -4*r - 16 = 2*m, 1 = 4*m + 3*r + 8. Suppose -m*t - t = -5*l - 6, -t + 2 = -l. What is the second derivative of -f**2 + 2*f - 3*f + l*f**2 wrt f?
-2
Let r(w) be the third derivative of 0*w**4 + 0*w**5 + 0*w + 0 + 1/2*w**3 + 5*w**2 - 1/120*w**6. Differentiate r(c) wrt c.
-3*c**2
Let p(j) = -j**2 + 3. Let g be p(0). What is the third derivative of 1 - 1 - 3*n**g + 5*n**3 - 3*n**2 wrt n?
12
Suppose 5*v - 7 - 3 = 0. Find the second derivative of -u**v + 1 - u - 2*u**2 - 1 wrt u.
-6
Let r(x) be the second derivative of 0*x**2 + 0*x**3 + 1/6*x**4 + 0 + 0*x**5 + 0*x**6 - 1/42*x**7 - 3*x. Find the third derivative of r(b) wrt b.
-60*b**2
Let o(w) be the third derivative of w**6/120 + 17*w**5/60 + 17*w**4/12 + 70*w**2. Find the second derivative of o(z) wrt z.
6*z + 34
What is the second derivative of -2*i + i**4 - 4*i**3 - 2*i + 4*i**3 wrt i?
12*i**2
What is the first derivative of 52*y - 52*y + 7*y**2 - 3 - 5 wrt y?
14*y
Let n = -1 - -23. Suppose k = -4*r + 4, -5*r + n = -3*k - 0*k. Find the second derivative of -2*p - p + p + 2*p**r wrt p.
4
Let z be 1*((7 - 4) + 0). Find the third derivative of -8*g**5 - z*g**2 - 14 + 14 wrt g.
-480*g**2
Let d = 33/7 + -785/168. Let x(b) be the third derivative of 2*b**2 + 0*b + 0 + d*b**4 + 1/3*b**3. Differentiate x(f) wrt f.
1
Let g be (-2)/(-4) + 1/(-2). Find the first derivative of 2*v - 6 + 4 + g*v wrt v.
2
Find the second derivative of -10*x**3 - 8*x**3 + 17*x**3 - 3*x**3 - 17*x wrt x.
-24*x
Let w(t) = -t**4 - t**2 + t - 1. Let o(p) = -4 + 0*p**2 + 0 - 4*p**2 + 2*p + p**4. Let j(d) = -o(d) + 4*w(d). Find the second derivative of j(n) wrt n.
-60*n**2
Let p(z) be the second derivative of z**6/6 - z**4/2 - 4*z. What is the third derivative of p(b) wrt b?
120*b
Let b(s) be the first derivative of 4*s**5/5 + 4*s**2 + 10. Find the second derivative of b(v) wrt v.
48*v**2
Suppose -b = -5*g - 31, -3*b - 3*g + 2 + 1 = 0. What is the second derivative of 5*n + n**2 - n**2 - 4*n + b*n**3 wrt n?
36*n
Let m(j) = 4*j - 4. Let p(r) = 2 + 5 - 3*r - 4 - r. Let q(t) = 2*m(t) + 3*p(t). What is the first derivative of q(h) wrt h?
-4
Let m(q) be the third derivative of 1/120*q**6 + 0*q**4 + q**2 + 0*q**5 + 0 | {
"pile_set_name": "DM Mathematics"
} |
3*i - 2
Expand r**3 + 0*r**3 + r**3 + (-3 + 4 - 5*r**2 + 3*r**2 + 4*r)*(174*r + 428*r - 102*r).
-998*r**3 + 2000*r**2 + 500*r
Expand -f**2 - f**5 + f**2 + (-3*f + 5*f - 3*f)*(-17*f**4 - 12*f + 12*f) + 22*f**5 + 136 - 136.
38*f**5
Expand (-64*c**2 + 668*c**2 + 553*c**2)*(5 - 2 - 1 + (-1 + 0 - 1)*(4 - 1 - 1)).
-2314*c**2
Expand (-2 - 3 + 2)*(0 - 4 + 0)*(-17*z**4 + 0*z**5 - 3*z**5 + 31*z**4).
-36*z**5 + 168*z**4
Expand 0*l**4 - 20*l**5 + 0*l**4 + (-3 - 3*l**3 + 3)*(-l**2 - 2*l + 2*l) - 2*l**5 - l + l.
-19*l**5
Expand (4 + 1 + 3)*((3*s**4 - 4*s**4 + 2*s**4)*(1 + 2 - 4) + 16 + 13*s**4 - 16).
96*s**4
Expand (664 - 330 + 37*m**2 - 337)*(-2 - 2*m + 0*m + m).
-37*m**3 - 74*m**2 + 3*m + 6
Expand (4 - 3 + 7)*(-z - 3*z + 2*z)*(-9 + 23*z - 12*z - 21*z).
160*z**2 + 144*z
Expand (0 + 2 + 0)*(1333*h**3 + 72*h**3 - 145*h**3).
2520*h**3
Expand (-1 - 1 - 4)*(165 - 113 - 76)*(f - 3*f + 0*f) + 3 - 3 - 2*f - 3 - 4*f + 3.
-294*f
Expand (-99 - 112 + 150)*(10*v + 8*v - 2*v).
-976*v
Expand -8*k**3 - 3*k**3 + 6*k**3 + (3*k - 3*k - 2*k**2)*(-6*k + 4*k - k) + 1094*k**2 - 1094*k**2 + 53*k**3.
54*k**3
Expand (15704*b**2 - 84 + 15693*b**2 - 31408*b**2)*(2 - 2 + 2*b**3)*(7 - 2 - 3).
-44*b**5 - 336*b**3
Expand (3*v**2 - v**2 + v**2)*(-3 - 6 + 7) - 2*v**2 + 0 + 0 - 4*v**2 + (-7*v + 7*v - 3*v)*(-2*v + 2*v - 2*v).
-6*v**2
Expand (5 + 2*i - 4 + 0*i**3 - i**3)*((1 - 1 - 4*i)*(-6*i - 21 + 21) + 15*i - 35*i**2 - 15*i) + (-2*i**4 + 3*i**2 - 3*i**2)*(2*i + 0*i - 3*i).
13*i**5 - 22*i**3 - 11*i**2
Expand 2*d + 0*d - 3*d + (4 - 4 - 2)*(1 - 2 - 1)*(0*d + 7*d + 5*d).
47*d
Expand (-a**2 + a**2 + 2*a**2)*(660 - 1349 + 12217*a + 689).
24434*a**3
Expand (1056*f**2 - 2603*f**2 + 605*f**2)*(5*f**3 - 4*f**3 + f**3).
-1884*f**5
Expand (-2*d**2 + 2 - 8*d + 8*d + (51 - 31 - 83)*(-3*d + 8*d**2 + 3*d))*(3 - 3 - 2*d**2).
1012*d**4 - 4*d**2
Expand (1129*j**3 + 604965*j**2 - 604965*j**2)*(j**2 + 2*j - 2*j).
1129*j**5
Expand (2*w**2 - 4*w + 4*w)*(3*w**2 - 19*w**3 + 3*w**3 - 15*w**3) + w**5 - 5*w**5 + 2*w**5 + (4*w - 4*w + w)*(9*w**4 + 10*w**4 - 33*w**4).
-78*w**5 + 6*w**4
Expand -12*k**3 + 79*k**3 + 32*k**3 - 2*k**3 + 2*k**3 + 2*k**3 + (-5 + 2*k + 5)*(k**2 - k**2 + 2*k**2) + k**3 - 2*k**3 - 2*k**3.
102*k**3
Expand (-6*p**2 - 60*p**2 - 6*p**2)*(p**2 + 3 - 3) - 3*p**4 - 4*p**4 + 4*p**4.
-75*p**4
Expand (0*u + 2*u - u)*(2*u**2 - u**2 + u**2) + (-6*u - 5*u - u)*(7*u**2 - 25 + 25).
-82*u**3
Expand (385 + 384 - 52*y - 767)*(-48*y - 35*y**2 + 48*y).
1820*y**3 - 70*y**2
Expand 15*z**2 + 9*z**2 + 2*z**3 + 116*z**2 + (2*z - 6*z + 3*z)*(21*z + 7*z**2 - 21*z).
-5*z**3 + 140*z**2
Expand (-2 - 1 + 2)*(66711 - 66711 - 7548*z)*(2*z**2 + z**2 - 2*z**2).
7548*z**3
Expand 88*w**4 - 88*w**4 - w**5 + (212*w**3 + 237*w**3 - 449*w**3 + 40*w**5)*(0 + 2 - 1).
39*w**5
Expand (-191*j**2 - 149*j**2 + 124*j**2)*(-4*j - 9*j + 4*j).
1944*j**3
Expand (-24 + 15 - 5)*(-8 + 8 + 3*t + (-2*t + 5*t + 0*t)*(0 + 2 - 1)).
-84*t
Expand (11*n**2 + 8*n**2 + 2*n**2)*(66 - 11*n**3 - 66) + 8*n**3 - 6*n**5 - 8*n**3.
-237*n**5
Expand 2*i - 2*i - i**2 + (4*i - 7*i + 4*i)*(-i - i + 0*i) + (3 - i - 3)*(2*i + 3 - 3) + 306*i**2 - 825 + 825 + 4*i**2 + 0*i**2 - 2*i**2.
303*i**2
Expand (2*k + 4*k - 5*k)*(-12*k - 4*k + 3*k)*(-478 - 497 - 229 - 135).
17407*k**2
Expand 113*x + 10*x**5 - 113*x + (15*x**3 - 4*x**3 + 10*x**3)*(-4*x - 3*x**2 + 4*x).
-53*x**5
Expand (2*f - 2*f + f**4)*((-1 + 12 + 0)*(31*f + 225 - 225) - 3*f + 4*f + 0*f).
342*f**5
Expand (-16505 + 863 - 7932 - 449)*(-4 + 4 + 2*w).
-48046*w
Expand (-1091*i**3 + 2364*i**3 - 1143*i**3)*(0*i + 3*i + 9*i).
1560*i**4
Expand (-4 + 4 - 2*n)*(n**3 + 2*n**3 - 7*n**3)*(6*n + 11*n + 2*n).
152*n**5
Expand 66*q**5 + 142158 - 142158 + q**5 + 2*q**5 - 4*q**5 + (q - 4*q + q)*(q**4 + 5*q**4 - 5*q**4) - 57*q - 6*q**5 + 57*q.
57*q**5
Expand (448*k - 1499*k - 423*k - 1770*k - 931*k)*(4*k - 2*k - 3*k).
4175*k**2
Expand (-10 - 8 - 12)*(-y - 20 - 17 + 13).
30*y + 720
Expand (3*h**2 - 4*h**2 + 0*h**2)*(-1409 + 1409 - 1122*h**2).
1122*h**4
Expand -7*f**4 + 3*f**4 + 3*f**4 + 2*f**4 + f**4 - 4*f**4 + (0*f**4 + f**4 + 0*f**4)*(1 - 4 - 1) + (50*f - 155*f + 41*f)*(2*f**3 + 1 - 1).
-134*f**4
Expand y**5 + 3*y**5 - 3*y**5 + (y**3 + 5*y - 5*y)*(-10*y**2 - 3*y**2 + 4*y**2) - 2*y**5 - 2*y**5 + 5*y**5.
-7*y**5
Expand (-4 + 1 - 14)*((6 + 5 - 8)*(2*v - 7 + 7) + (0 + 3*v + 0)*(4 + 3 - 5)).
-204*v
Expand (19*a**4 + 18*a**4 - 29*a**4)*(0 + 4 - 5)*(3*a - 19*a + 5*a)*(3 + 1 - 2).
176*a**5
Expand (1 - 2*s**2 - 1)*(18695 + 4089*s**3 - 18695 - 5 - 2 + 5 + s**3 + (-s**3 + 3*s**3 - 3*s**3)*(-6 + 1 + 3)).
-8184*s**5 + 4*s**2
Expand (0*k + 0*k + k**3)*((4 - 10 - 7)*(2*k + 3*k - 3*k) - 28*k + 20*k - 32*k).
-66*k**4
Expand (-4*v**2 + v**2 + 0*v**2)*(3*v + 0*v - 2*v + (-4*v + v + 2*v)*(1 + 2 - 1) - 51*v - 5*v + 19*v + 5*v - 3*v - 4*v + 49 + 12*v - 49).
84*v**3
Expand 827*k**3 + 102*k**5 + 126*k**5 - 828*k**3 + (k + 2 - 2)*(0*k**4 + 2*k**4 + 5*k**4) + (4*k**2 - 6*k**2 + 0*k**2)*(-4*k**3 + 3*k**2 - 3*k**2).
243*k**5 - k**3
Expand (-6*t**3 + 2*t**3 + 2*t**3)*(-6*t - 4*t - t) + 6*t**4 - 5*t**4 - 2*t**4 + (-7*t + 7*t + t**2)*(0 + 0 - t**2).
20*t**4
Expand 4*f**3 - 6*f**3 - 2*f**3 + (2*f - 2*f - f)*(-f**2 + 4*f**2 - 4*f**2) - 652 + 652 + 6*f**3.
3*f**3
Expand (1 - 2 + 0)*(-4*v**4 + 3*v**4 + 0*v**4)*(-1 - 1 + 4)*((-277*v - 914*v - 273*v)*(0 - 1 + 2) + v + 0*v + v).
-2924*v**5
Expand -2*m**3 - m**3 + 4*m**3 + (-m - 6*m + 0*m)*(112*m**2 - 57*m**2 - 65*m**2) + 0*m**2 + 3*m**2 + 6*m**3 - 3*m**2.
77*m**3
Expand (-5 + 0 + 4)*(0*v - 3*v + 2*v)*(-7 + 2 + 3) + (-15 - 19 - 19)*(5*v + 7*v - 4*v).
-426*v
Expand 2*q - 2*q - 5*q + 2*q - 3 + 3 + (0 - 2 + 3)*(0 + 0 + q) + 406*q - 44*q - 156*q + (1 + 1 - 3)*(-4*q + q + 6*q) - 3*q + 5*q - 4*q.
199*q
Expand (-w**2 + 135 - 135 - 9*w**3)*(-1865*w + 381561 - 381561).
16785*w**4 + 1865*w**3
Expand (-16573 - 14794 + 27096)*(-4*h**3 + 3*h**3 + 2*h**3).
-4271*h**3
Expand 4*m**2 - 9*m**2 + 10*m**2 + 6*m + (-8*m + 6*m**2 + 8*m)*(-6 - 1 - 1).
-43*m**2 + 6*m
Expand (181*w + 46*w + 152*w)*(-2*w**3 + w**3 + 2*w**3).
379*w**4
Expand (1110 + 46 + 121)*(1 - 2*g**3 - 1).
-2554*g**3
Expand 0*b**3 + 0*b**3 + 2*b**3 + (-4*b + b**3 + 4*b)*(-392 - 3790 + 88 - 279).
-4371*b**3
Expand 4*u**2 - u**2 + u**2 + (38*u + 111*u - 8*u)*(-2*u + 4*u - u).
145*u**2
Expand (-89*z**3 - 31*z**3 - 39*z**3)*(-3 + 0 + 1 + (-2 + 1 + 2)*(0 - 8 + 0)).
1590*z**3
Expand (4*z - 2*z + 15 + 1441*z**2 - 1454*z**2)*(-73*z - 15*z + 2*z).
1118*z**3 - 172*z**2 - 1290*z
Expand 479*v**2 - 1747*v**2 - 1288*v**2 + 1 - v**2 - 1 + (3*v**2 - 3*v**2 - v**2)*(-2 + 2 + 2) + v**2 + 0 + 0 + 5*v**2 - 4*v**2 + 0*v**2.
-2557*v**2
Expand 3*d**2 + 0*d**2 - 2*d**2 + (14 - 3 - 4*d - 4)*(-11*d - 10 + 7*d - 8).
17*d**2 + 44*d - 126
Expand (-q**2 + 2*q - 2*q)*(q**3 - 2*q**3 + 2*q**3 + 14*q**3 - 27*q**2 + 27*q**2 + (3*q + 2*q - 6*q)*(-3 + 3 - 4*q**2) - 3*q**3 + 0*q**3 + q**3).
-17*q**5
Expand 3*s**2 + 2*s**4 - 3*s**2 - 2*s**3 + ((-17 - 7*s**2 + 17)*(1 - 1 - 2*s**2) - 7 - 4*s**4 + 7)*(5 - 5 - 1).
-8*s**4 - 2*s**3
Expand (-4 - 2 + 5)*((b - 5*b + 3*b)*(-4 + 6 - 1) + 2179*b + 829*b - 872*b).
-2135*b
Expand ((4*p - p - 4*p)*(-p - 5*p + 5*p) + 2*p - 2*p**2 - 2*p - p**2 + 4 - 4 - 2*p**2 - 4*p**2 - 4*p**2)*(-5 + 13*p**3 + 5).
-156*p**5
Expand (48*j - 2*j**2 - 2*j**2 - 52*j)*(-87*j**2 + 15*j**2 - 85*j**2).
628*j**4 + 628*j**3
Expand 0*j**4 + 0*j**4 + 6*j**4 + (3*j**3 - 3*j**3 - j**4)*(2 + 1 - 1) + (j - 4*j + 2*j)*(62*j**3 - 11*j**3 + j**3) - 5*j**4 + 3*j**4 + 3*j**4.
-47*j**4
Expand (858*y**2 - 25*y**3 - 858*y**2)*(-12*y**2 + y + 13 - 11 - 3*y**2).
375*y**5 - 25*y**4 - 50*y**3
Expand (-o**3 + o**3 + o**3)*(-479 + 71032*o**2 - o - 71030*o**2 + 1133).
2*o**5 - o**4 + 654*o**3
Expand -4*q**4 + 2*q**4 - q**4 + (6 + 11 - 35)*(0 + q**4 + 0) - 3*q**4 - 15*q**4 - 2*q**4.
-41*q**4
Expand 369 - 736 + 53*n**4 + 377 + (-4*n**2 + n**2 + 0*n**2)*(0*n + n**2 + 0*n).
50*n**4 + 10
Expand (k + 1 - 3 + 1)*(575 + 187 + 2970).
3732*k - 3732
Expand (-1269 + 46 + 126*v - 124*v)*(0*v**2 + 5*v**2 - 3*v**2)*(1 - 3 + 0).
-8*v**3 + 4892*v**2
Expand (8*n**3 - n**3 - n**3)*(n + 0*n - 31*n)*(2*n - 5*n + 0*n).
540*n**5
Expand (2 + q - 2)*(7282 + 10902 + 3994).
22178*q
Expand 7*n**3 - 3*n**3 - 2*n**3 + (-1 - 22*n**2 + 1)*(3*n + 2*n - n) + 7*n**3 - n + n.
-79*n**3
Expand (-609*l**2 + 169*l**2 + 299*l**2)*(-5 + 3 - 3 + 4)*(-5*l + 3*l + 0*l).
-282 | {
"pile_set_name": "DM Mathematics"
} |
h + 1254. What is the hundreds digit of s?
5
Let y = 4088 - 2310. What is the tens digit of y?
7
Let a = 10061 - 8934. What is the tens digit of a?
2
Let d = 36684 - 11078. What is the hundreds digit of d?
6
Let k be (-4)/(-3)*(-18)/(-12)*5. Suppose -4*q + 270 + k = 0. Let i = 68 + q. What is the units digit of i?
8
Let g be 0 - (-1 + 2 + -1). Suppose 0 = -5*n - 5*j + 5, 5*n - 455*j + 453*j = 12. Suppose g = -n*b + 160 + 226. What is the tens digit of b?
9
Let v be (-2 - (-1)/2)/(15/(-30)). Suppose 2*y = 2*z - 152, -2*z + 158 = 7*y - v*y. What is the tens digit of z?
7
Let q(h) = -7*h + 7. Let b(o) = 1. Let u(i) = -5*b(i) - q(i). Let s be u(2). Suppose -5*f + 429 = -s*f. What is the hundreds digit of f?
1
Suppose -28*i + 6*i + 6693 + 2261 = 0. What is the tens digit of i?
0
Suppose 0 = -11*m + 19 + 36. Suppose -m*v = -6*v + 2. Suppose -4*i + 341 = -4*l + 1, -v*i + 5*l + 170 = 0. What is the tens digit of i?
8
Let k(z) = 2*z**2 - 7*z + 13. Let i be k(-7). Let o = -17 + 23. Suppose -o*b - i = -682. What is the tens digit of b?
8
Let w = -97 - -151. Let p = w - 48. What is the tens digit of 766/p - (102/18 - 5)?
2
What is the thousands digit of (-2)/9 + 11/(1386/1089046) + 0?
8
Suppose 152*r = 86*r + 2348544. What is the hundreds digit of r?
5
Suppose -7*q = 9*q - 96. Suppose 102 = q*a - 42. What is the tens digit of (-2 + -1)/(-1)*856/a?
0
Let u(p) = -p**3 - 9*p**2 + 11*p + 51. Let m(h) = -2*h**2 - 15*h + 50. Let w be m(3). What is the hundreds digit of u(w)?
5
Let u(o) = 10*o**2 - 17*o + 606. What is the tens digit of u(28)?
7
Let r be 1*-12 + 1 + -1. Let z = -14 - r. What is the units digit of (-37)/z - 24/16?
7
Let z be 2/(-4) - 659/2. Suppose y = 2*s - 546, -256*y - 2*s = -260*y - 2208. Let b = z - y. What is the hundreds digit of b?
2
Let g be (17 + 119)/((-1)/25). What is the hundreds digit of ((-2)/5)/(8/g)?
1
Let n be (4/8)/((-5)/(-2930)). Let c = 1323 - n. What is the units digit of c?
0
Suppose 72915 = 3*s + 3*y, -17850 - 30762 = -2*s - 3*y. What is the tens digit of s?
0
Suppose 22*d = 19485 + 887. What is the units digit of d?
6
Suppose -4*i - 4*q + 2*q = -32, -4*q = 3*i - 34. Suppose -587*t = -593*t + 138. Suppose -t = -7*r + i*r. What is the units digit of r?
3
Let t(j) = j**3 + 4*j**2 - 30*j - 2. Let m be t(-7). Suppose m*x - 60*x - 1065 = 0. What is the units digit of x?
5
Let m(y) = 7908*y**2 + 232*y + 234. What is the tens digit of m(-1)?
1
Let f(s) = -15*s + 5 + 77*s**2 + 83*s**2 - 159*s**2. What is the hundreds digit of f(22)?
1
Suppose 3*b + 4*b - 2317 = 0. Let g = b + -164. What is the hundreds digit of g?
1
Let q = 46495 + -25519. Suppose 5*u + 11*u = q. What is the hundreds digit of u?
3
Let v(d) = 2*d**2 + 5*d - 3. Let p be v(1). Suppose -p*x - 325 = -1401. What is the tens digit of x?
6
Suppose 0*t = 13*t - 273. What is the units digit of (-3)/((-21)/2) - (-2745)/t?
1
Let n(y) = 10*y**2 - y - 4. Let b be n(2). Suppose -412 = -b*w + 33*w. What is the tens digit of w?
1
Suppose -44*y - 16906 + 245826 = -4*y. What is the thousands digit of y?
5
Let a be ((-42)/8)/(1/(-8)). Suppose 0 = -47*w + 43*w + i + 49, 32 = 3*w + 4*i. What is the units digit of w/(51/a - 1)?
6
Let f(i) = -2*i**2 - 30*i + 3. Let j be f(-15). Suppose -71*n + 902 = -69*n - 3*r, -1353 = -j*n - r. What is the tens digit of n?
5
Let n = -2297 - -36541. What is the ten thousands digit of n?
3
Let n(k) = -106*k - 94. Let h be n(-7). What is the units digit of (h/20)/((-4)/(-10))?
1
Suppose -2167 - 1221 = -7*n. Suppose 2*r + n = s, 5*s - 1482 = 2*s - 4*r. What is the units digit of s?
0
Suppose 3*r - 293 = 2*m, -2*m = -r - 4*m + 87. Let k be (43 + -2)*-2 + -1. Let l = r + k. What is the units digit of l?
2
Let l(u) = u**3 + 45*u**2 - 69*u + 20. What is the units digit of l(-42)?
0
Let d be 6/1*(-1)/(-2). Let c(j) be the third derivative of j**4/24 - j**3/6 + 875*j**2. What is the units digit of c(d)?
2
Suppose -5*d + 46 - 11 = 0. Let h(f) = 0*f**2 + f + 26 - 32 + 8*f**2 + 25*f**3 - 4*f - 26*f**3. What is the units digit of h(d)?
2
Suppose -19*w = -32*w. Let o(g) = g**3 - 3*g**2 - 4*g + 3. Let i be o(4). Suppose w = -i*h - 88 + 241. What is the units digit of h?
1
Let v = -71 - -87. Suppose -7*t + v = 2. Suppose -45 - 123 = -t*i. What is the units digit of i?
4
Suppose -5*c - 4651 = -2*j + 420, 5*j + 5*c - 12695 = 0. Suppose -135*l + j = -132*l. What is the units digit of l?
6
Suppose -22*h + 20*h + 7660 = -2*v, -v = -5*h + 19122. What is the hundreds digit of h?
8
Suppose -4*r + 193786 = 2*h, 7*h = 2*r + 6*h - 96887. What is the ten thousands digit of r?
4
Suppose 2*k + 15*c - 13*c - 106662 = 0, -2*k + 106669 = 3*c. What is the tens digit of k?
2
Let j(m) = -m**3 - 11*m**2 + 11*m - 10. Let p be 1*(-2 + -3)*1. Let o = p + -7. What is the units digit of j(o)?
2
What is the hundreds digit of 13/91 - (-449847)/(-14)*-2?
2
Suppose 10 = -841*p + 839*p. What is the units digit of (753 - (-1 + 0)) + p?
9
Suppose 23*i - 26*i = -2874. Suppose -i - 2357 = -17*j. What is the hundreds digit of j?
1
Suppose -28 = -169*p + 808 + 685. Let n be (-4)/6 + 608/3. What is the units digit of 27/p + n/1?
5
Suppose 10949 + 39103 = 5*g - 70888. What is the thousands digit of g?
4
Let r(g) = 22 - 32 - 6*g**2 + 3*g**2 + g**3 - 17*g. What is the tens digit of r(8)?
7
Suppose -7*p - 14121 - 59394 = -22*p. What is the hundreds digit of p?
9
Suppose -3*o - 252 = -0*o. Let q = o + 86. Suppose -2*d = -w + 179, q*w - 175 = d + 177. What is the tens digit of w?
7
Let x = -16925 - -44537. What is the thousands digit of x?
7
What is the hundreds digit of 59202 + 37/((-148)/36)?
1
Suppose 24090 = 2*a + i, -22*a - 4*i + 60219 = -17*a. What is the tens digit of a?
4
Let y = -15119 + 16914. What is the tens digit of y?
9
Let i = -63 - -67. Let g(a) = 115*a - i*a - 22 + 37. What is the hundreds digit of g(2)?
2
Let k(i) = -34*i - 516 + 2003 + 23*i. What is the units digit of k(0)?
7
Let t(v) = -v**2 - 87*v - 88. Suppose 34*w = 14*w - 720. What is the units digit of t(w)?
8
Suppose 25*d - 15236 - 5439 = 0. Let y = d + 10. What is the tens digit of y?
3
Suppose 0 = 67*h - 69*h + 4*p + 16042, 3*h - 5*p - 24060 = 0. What is the thousands digit of h?
8
Let b(p) = -p**2 + 12. Let a be b(-7). Let t = -48 - a. Let o = 46 + t. What is the units digit of o?
5
Let d(p) = 56*p**2 + 3*p + 1. Let g be d(3). Suppose -q = -3*q + g. Suppose q = -7*l + 635. What is the units digit of l?
4
Let s(k) = -k**3 + 80. Suppose l - 4 = -l. Suppose 5*o + 2*r = -2, -l*o + r = -4*r - 5. What is the tens digit of s(o)?
8
Let n be (-261)/(-6)*(-1 + (-5)/(-15)). Let t = n - -30. What is the units digit of t*(5 + 1 - 5)?
1
What is the hundreds digit of (-25 - (-76272 - -16)) + 12?
2
Suppose -3198 = 8*w - 694. Let d = 596 + w. What is the hundreds digit of d?
2
Let p = 8 - 5. Suppose p*v = 6*v - 756. Suppose 0 = 21*y - 25*y + v. What is the units digit of y?
3
What is the thousands digit of (((-3)/12)/((-20)/220520))/((-1)/(-4))?
1
What is the tens digit of ((35/21)/((-14)/(-4802)))/(2/114)?
8
Let x = 97 - 109. Let c be (-1 + 0 + 1)*(-11 - x). Suppose c = 5*n - 2*n - 5*a - 260, -n = a - 100. What is the units digit of n?
5
Let m = 68464 - 38027. What is the ten thousands digit of m?
3
Suppose 0 = 2*h - 3*o - 133318, 165935 = 4*h - 5*o - 100709. What is the units digit of h?
1
Let u = 39 - -18. What is the hundreds digit of u*114/18 - (0 - 1)?
3
Let x(w) = -4*w - 62. Let c be x(-15). Let m be c*2*(-2)/(-16)*-6. Suppose 0 = -m*r + 4*r - 132. What is the units digit of r?
2
Let t = -12 + 16. Suppose 5*y + 0*h = 5*h + 1170, -5*y + t*h + 1174 = 0. What is the hundreds digit of y?
2
Suppose -2*u = 5*d - 69, 0 = d - 5*u + 3*u - 9. Suppose 3*o = -y + 383, 5*y - 492 = -4*o + 4. Suppose 12*k - d*k = -o. What is the hundreds digit of k?
1
Suppose -4*h - 2*k = -6 - 56, -6 = -2*k. Let a = h - 5. Suppose -864 = -0*r - a*r. What is the tens digit of r?
9
Suppose 0 = -39*t + 28*t + 8162. What is the units digit of (6/4)/(763/t - 1)?
3
What is the units digit of (342/36)/(16/58016)?
7
Let m be 8 - (1 + -1 + 3). Let o(b) = 147*b - 130. What is the units digit of o(m)?
5
Let s(k) = -k**2 + 67*k + 555. What is the tens digit of s(41)?
2
Let o(c) = -8*c + 11. Let m = -28 + 25. Let h(t) = -231*t + 319. Let u(k) = m*h(k) + 88*o(k). What is the units di | {
"pile_set_name": "DM Mathematics"
} |
4464*k**3.
-5*k**3
Collect the terms in 6*c**2 + 2 - c**2 - 5*c**2 + 7*c - 3*c**3.
-3*c**3 + 7*c + 2
Collect the terms in 16572*j**3 - 8950*j**3 - 7620*j**3.
2*j**3
Collect the terms in -3851 - 5385*p + 3851.
-5385*p
Collect the terms in -2086045*x**2 + 18*x**3 + 2086045*x**2.
18*x**3
Collect the terms in -j - 377*j**3 - 2*j + 1604*j**3.
1227*j**3 - 3*j
Collect the terms in -491*j**3 - 1061*j**3 - 176*j**3 + 391*j**3.
-1337*j**3
Collect the terms in 307 + 339 + 2*h**3 - 22*h**2 - 646 + h**3.
3*h**3 - 22*h**2
Collect the terms in -73*m**2 - 66*m**2 + 0 + 130*m**2 + 0.
-9*m**2
Collect the terms in -194*d**3 - 37*d**3 + 39*d**3 - 204*d**3.
-396*d**3
Collect the terms in -4 + 4 + 0 + 482103737*k - 482103738*k.
-k
Collect the terms in -11 - 52*q + 1849*q + 14.
1797*q + 3
Collect the terms in 3 + 3 - 27770*s**2 - 6.
-27770*s**2
Collect the terms in 36*t + 25*t - 102*t + 22*t + 21*t.
2*t
Collect the terms in -5*b + 2876573271 + b - 2876573271.
-4*b
Collect the terms in -1 + 367*b + 418*b - 954*b.
-169*b - 1
Collect the terms in 1896*l**3 - 634*l**3 + 4125*l**2 - 627*l**3 - 4125*l**2 - 633*l**3.
2*l**3
Collect the terms in 191 - 109 + u + 144.
u + 226
Collect the terms in 512*j - 539*j + 1215*j**3 + 990*j - 1217*j**3.
-2*j**3 + 963*j
Collect the terms in 2*m + 60*m**2 - 22*m + 14*m + 10*m.
60*m**2 + 4*m
Collect the terms in -84*c + 44*c + 41*c.
c
Collect the terms in 87 - k**3 - 4 - 99.
-k**3 - 16
Collect the terms in -1272*s + 2791*s - 1516*s.
3*s
Collect the terms in 46 + 4 - 1 - 2*c**3 - 8.
-2*c**3 + 41
Collect the terms in -1350*n**2 - 1361*n**2 - 19*n**3 + 2711*n**2.
-19*n**3
Collect the terms in -75*l**2 + 515*l**2 + 93*l**2 - 22*l**2.
511*l**2
Collect the terms in -2*z**2 + 5189*z + 5176*z - 10365*z.
-2*z**2
Collect the terms in 0*m - 62*m**2 + 0*m + 0*m - 398*m**2 + 458*m**2.
-2*m**2
Collect the terms in 3*j + 206*j**2 - 841*j**2 - 3*j + 379*j**2.
-256*j**2
Collect the terms in 8*i**2 + 2520 + 2*i**3 + 2521 - 5041 - 8*i**2.
2*i**3
Collect the terms in 0 + 1 - 1 + 1510*l.
1510*l
Collect the terms in -286 + 16*k**2 + 12*k**2 + 287.
28*k**2 + 1
Collect the terms in 303*u**2 + 21*u**2 + 993*u**2 - 118*u**2.
1199*u**2
Collect the terms in 2 - 2 - 116*g - 19757*g**2 + 19758*g**2.
g**2 - 116*g
Collect the terms in -135*c**2 + 283*c**2 + 426*c**2.
574*c**2
Collect the terms in -3 + 10955*m - 10955*m - 10*m**2.
-10*m**2 - 3
Collect the terms in -16*n**2 + 11*n**2 + 0*n**2 + 18 + 9*n**2.
4*n**2 + 18
Collect the terms in -758 + 6*o - 1149 - 5*o.
o - 1907
Collect the terms in 169 - 66*f**2 + 163 - 332.
-66*f**2
Collect the terms in -6 + 5*f + 59 - 53 + 0*f.
5*f
Collect the terms in -41*s**3 + 46*s + 31*s - 2*s**2 + 2*s**2.
-41*s**3 + 77*s
Collect the terms in -54*d**2 + 979*d - 503*d - 476*d.
-54*d**2
Collect the terms in 16*k - 657*k**2 + 19*k - 35*k.
-657*k**2
Collect the terms in -1074 - 1146 + 27*n**2 + 591 - 2*n**2.
25*n**2 - 1629
Collect the terms in 397*s**2 - 171*s**2 - 206*s**2.
20*s**2
Collect the terms in -2 - 15*z - 52*z + 2 + 85*z.
18*z
Collect the terms in 12*c + 9*c + 8*c + 8*c + 11*c - 55*c.
-7*c
Collect the terms in 61 - 69 + 5*g - 64.
5*g - 72
Collect the terms in -55*g - 79*g - 19*g - 71*g.
-224*g
Collect the terms in 6236*o - 6265*o - 7 + 8.
-29*o + 1
Collect the terms in -700*z - 447*z + 1143*z.
-4*z
Collect the terms in 68*n**2 + 73*n**2 - 131*n**2.
10*n**2
Collect the terms in 18606163*h**3 - 37212345*h**3 + 18606169*h**3.
-13*h**3
Collect the terms in 736878237 - 8*n**2 - 736878237.
-8*n**2
Collect the terms in 0*t - 1 - 51*t + 1 - 43*t.
-94*t
Collect the terms in -168 - 405 + 0*g**2 + 2*g**3 - g**2 - 3*g**3.
-g**3 - g**2 - 573
Collect the terms in -9 - 5438*o + 5433*o - 4 + 22 - 9.
-5*o
Collect the terms in 15 - 4*r + 6*r - 20 + 11.
2*r + 6
Collect the terms in 2158*b - 16 + 18 - 819*b.
1339*b + 2
Collect the terms in -206*k**3 + 6 - 6 - 195*k**3.
-401*k**3
Collect the terms in 72*h**2 + 75*h**2 + 7*h**2 - 43*h**2 - 54.
111*h**2 - 54
Collect the terms in 6244385 - 6244385 - 6*r**3.
-6*r**3
Collect the terms in -991*k**2 - 4*k**2 - 1547*k**2.
-2542*k**2
Collect the terms in -2796 + 1392 - 47*n + 48*n + 1404.
n
Collect the terms in 52*z - 8*z - 14*z - 12*z.
18*z
Collect the terms in -12*a + 22*a**2 + 3*a**3 - 2*a + 14*a.
3*a**3 + 22*a**2
Collect the terms in -72*y - 136*y + 26*y + 2*y - 124*y.
-304*y
Collect the terms in -7*p - 127741 + 63871 + 63870.
-7*p
Collect the terms in -8909 - 8910 - 2*y - 8906 + 26725.
-2*y
Collect the terms in 446 - 3*s + s + 0*s - 446 + 5*s.
3*s
Collect the terms in -1007*q**2 + 507*q**2 - 1 + 538*q**2.
38*q**2 - 1
Collect the terms in -29 - 22 - 3*h**2 + 80 - 29.
-3*h**2
Collect the terms in -2 - 8*n + 10*n - 3*n - 49.
-n - 51
Collect the terms in 358 - 301 - 371 + 3*f**3 - 378.
3*f**3 - 692
Collect the terms in 95612*t - 191562*t + 95954*t.
4*t
Collect the terms in -105*q**3 - 466*q**3 + 623*q**3.
52*q**3
Collect the terms in 0*a**2 + 29*a**3 + 0*a**2 + 0*a**3 + 5*a**3.
34*a**3
Collect the terms in -107*j**3 + 57*j**3 - 179*j**3 - 233 + 233.
-229*j**3
Collect the terms in -3*d - 135 + 135 - 7*d + 3*d.
-7*d
Collect the terms in 1806 + 12*v - 1806.
12*v
Collect the terms in 0*t**2 - t**2 + 5*t**2 + 3*t**2 + 2*t**2.
9*t**2
Collect the terms in -3162*w**2 + 3 - 8691*w**2 + 194*w**2.
-11659*w**2 + 3
Collect the terms in 6*n**3 + n - 40*n**3 - 28*n**3 + 20*n**3.
-42*n**3 + n
Collect the terms in 17585*c**2 - 4191*c**2 + 1152*c**2.
14546*c**2
Collect the terms in -3*p**2 + 7892 - 9*p**2 - 7892 + 18*p**2 - 5*p**2.
p**2
Collect the terms in -200*j + 51*j - 54*j + 2*j**2.
2*j**2 - 203*j
Collect the terms in -65*v**2 + 39645*v**3 + 65*v**2 - 39644*v**3.
v**3
Collect the terms in 787*g**3 - 263*g**3 - 262*g**3 - 259*g**3 + 2 + 4*g**2 - 4*g**2.
3*g**3 + 2
Collect the terms in 204*l + 188*l - 373*l.
19*l
Collect the terms in 0*j**2 - 471727*j - 2*j**2 + 471746*j.
-2*j**2 + 19*j
Collect the terms in -439 + 753 - u - u - 314.
-2*u
Collect the terms in -355*v + 1 + 689*v - 365*v.
-31*v + 1
Collect the terms in 22*t - 9*t - 6*t**2 - 13*t - 35*t**2 + 11*t**2.
-30*t**2
Collect the terms in 39950 + 39890 + 5*d - 79840.
5*d
Collect the terms in 1 - 4*q - 1 - 86*q**2 + 193*q**2 + 255*q**2.
362*q**2 - 4*q
Collect the terms in 26*a + 51 + 98 - 2*a + 282.
24*a + 431
Collect the terms in -6*k**3 - 8*k**3 - 22*k**3 + 14*k**3 - 3*k**3 + 12*k**3.
-13*k**3
Collect the terms in -3 + 2 + 3 + 56948*u - 3.
56948*u - 1
Collect the terms in -551724 + 551724 - h.
-h
Collect the terms in -12*v**3 - 18*v**3 - 16*v**3 - 3*v**3.
-49*v**3
Collect the terms in -102*d + 148*d - 108*d - 1 + 0.
-62*d - 1
Collect the terms in 1042*r - 3137*r + 1047*r + 1048*r - 2*r**3.
-2*r**3
Collect the terms in -967*n + 0*n**3 - 3*n**3 - 975*n + 2889*n - 947*n.
-3*n**3
Collect the terms in -67*m - 4*m + 9*m + 9*m + 2*m.
-51*m
Collect the terms in 442 - 442 + 2770*z**3.
2770*z**3
Collect the terms in 0 + 94*y - 2 + 6.
94*y + 4
Collect the terms in -110*p + 340*p - 90*p - 43*p.
97*p
Collect the terms in u - 7738*u**2 + 15485*u**2 - 7747*u**2 - u + 3*u**3.
3*u**3
Collect the terms in 14*i**2 - 74*i**2 - 20*i**2.
-80*i**2
Collect the terms in 178874*q + 178873*q + 178876*q - 536621*q.
2*q
Collect the terms in -3*f - 100 - 103 + 564*f**3 + 203.
564*f**3 - 3*f
Collect the terms in 9*x**2 + 9*x**2 - 1 + 52*x**2 + 3 + 20*x.
70*x**2 + 20*x + 2
Collect the terms in 632851*l - 28449*l - 116891*l.
487511*l
Collect the terms in 32 - 10*j + 4*j - 30.
-6*j + 2
Collect the terms in 93*l + 6*l + 2*l - 121*l + 9*l + 8*l.
-3*l
Collect the terms in -98*r + 6 + 101*r - 2 - 4.
3*r
Collect the terms in 47*v + 48*v + 40*v - 135*v - 46*v**2.
-46*v**2
Collect the terms in 32965*q**2 + 33030*q**2 - 65996*q**2.
-q**2
Collect the terms in 32192*a**3 - 64415*a**3 + 32209*a**3.
-14*a**3
Collect the terms in -18*y - 5*y**2 + 12*y - 17*y.
-5*y**2 - 23*y
Collect the terms in -1725*q**2 - 1369*q**2 + 1156*q**2.
-1938*q**2
Collect the terms in 210*s**2 - 43*s**2 - 54*s**2 - 8*s**2 - 41*s**2.
64*s**2
Collect the terms in 74*w + 66*w + 70*w + 70*w + 4*w**2 - 288*w.
4*w**2 - 8*w
Collect the terms in 3 - 1532*u - 7 + 1658*u.
126*u - 4
Collect the terms in 8 - 72642*g - 16 + 8.
-72642*g
Collect the terms in -1428*g**2 - 1428*g**2 - 1423*g**2 + 5703*g**2 - 1425*g**2.
-g**2
Collect the terms in -378*y | {
"pile_set_name": "DM Mathematics"
} |
3, 0.1, 5, 0.62, 6.5, 1?
1
Which is the closest to -0.1? (a) 15 (b) 8283 (c) 18
a
Which is the closest to -56? (a) -8 (b) -1/7 (c) 1.741
a
What is the closest to -141 in -0.4, -63.1, 43?
-63.1
What is the nearest to -3 in -475, -137, -5, 0.4?
-5
Which is the nearest to -20? (a) 965 (b) 2/9 (c) -6 (d) -1/5 (e) 0
c
Which is the nearest to 0? (a) 3/7 (b) -1 (c) 1/4 (d) 5/3 (e) -59
c
What is the closest to -0.45 in -2448, -5/6, 1?
-5/6
Which is the nearest to 280/2323? (a) -1/4 (b) -0.3 (c) 2 (d) -1/7 (e) 3
d
What is the closest to -1/4 in 4, -159123, 3, 2?
2
Which is the closest to 1/2427? (a) 6/5 (b) 0.1 (c) 1/1978
c
What is the closest to 154 in 0.1, -30, 0.4, 2/7, 175?
175
Which is the closest to 4.3? (a) 1/4 (b) -506 (c) -0.19 (d) -3/4 (e) -1/4
a
Which is the nearest to -0.017? (a) 0.4 (b) -1/4 (c) 0.27 (d) -2/9 (e) -3
d
What is the closest to -1/3 in -65/28, -0.5, 1/6, -6?
-0.5
What is the closest to -0.1 in 654, 0.046, 2/15, -0.1?
-0.1
Which is the nearest to -2.5? (a) 1 (b) -0.1 (c) 1/7 (d) -8958 (e) 3
b
What is the nearest to 1 in 10, 2690, 0.326?
0.326
What is the nearest to -21 in 0, 1/6, -247, -1, 482?
-1
Which is the closest to 1/3? (a) -5 (b) -110 (c) 4 (d) 0.196 (e) 1/3
e
What is the closest to -0.3 in -9525, -0.2, -1/4, 3?
-1/4
Which is the closest to 2/13? (a) 1/2 (b) 6 (c) 1/3 (d) 15.2 (e) 4 (f) 3/389
f
Which is the nearest to -310? (a) 4 (b) 0.04 (c) -0.02 (d) 2 (e) 0.5 (f) -1/4
f
Which is the closest to 873? (a) -2/21 (b) -5 (c) 451 (d) -0.5
c
What is the closest to 0.11 in 0, 1.5, -1/51, 5, 3/5?
0
What is the nearest to -357 in 2/17, -416, 4, -1, 23?
-416
Which is the closest to -2? (a) -4 (b) 1 (c) 21154 (d) -1 (e) 2/3 (f) 3
d
What is the closest to -1.6 in 210, 0.33, 3, -2/11, -7?
-2/11
Which is the nearest to -435? (a) 1/3 (b) 5 (c) -2/7 (d) 4/11 (e) -85
e
Which is the closest to -71/6? (a) 1/3 (b) -0.5 (c) -13 (d) 1/513
c
What is the nearest to 2 in -0.7, -24/11, -4, -7669?
-0.7
What is the closest to 20285293 in -0.3, -0.5, -1?
-0.3
What is the closest to 0.1 in 19, -46, -30, 195?
19
Which is the closest to 2798? (a) -1 (b) 3 (c) -1/6 (d) -6/5 (e) 27
e
Which is the closest to 2/7? (a) 0 (b) -50 (c) 3 (d) 26 (e) -0.31
a
What is the nearest to 1/3 in -2602, 1, 1/7, 6188?
1/7
What is the nearest to 0.1 in 0.1, -1002628, 2/11?
0.1
What is the nearest to -2 in -2/5, -4, -14/69, 220/3, 1?
-2/5
What is the nearest to 1 in -5, 74, 2/7, 3/2, 60.66, -0.2?
3/2
What is the closest to -3 in 0.62, 2/3, -1.04, -1, -2, 0.5?
-2
What is the closest to 0.55652 in 1/7, -3/7, 167?
1/7
Which is the closest to -0.4? (a) 0 (b) 37241 (c) 1/4 (d) -1/5 (e) -0.1
d
What is the closest to -4 in -0.5, -246, 0.07, 45/11?
-0.5
Which is the nearest to -0.375? (a) -0.2 (b) -3 (c) 3 (d) 0 (e) -0.18
a
Which is the closest to -1? (a) -2/3 (b) -3 (c) -6 (d) 145 (e) -0.08 (f) -0.02
a
What is the nearest to -1/3 in -710, -8/5, 2, -5/2, -2/3?
-2/3
What is the closest to 26 in 2, -4, -16.15315, -1/4?
2
Which is the nearest to -92.132? (a) 0.2 (b) 0.3 (c) -1/5 (d) -4 (e) 6
d
Which is the closest to 22? (a) -7 (b) -2 (c) 2.78 (d) -1 (e) 0.8 (f) -0.3
c
Which is the closest to 0? (a) -4664 (b) -2/5 (c) 0.6 (d) -1.2 (e) 1/2
b
What is the nearest to 0 in 0.5, 88, -24, -0.17, -1, 0.05?
0.05
What is the nearest to -3/4 in 0.4, 500, -1/4, -807?
-1/4
What is the closest to -3/50 in -0.034, 0.3, 2/7, 1/2, -0.2?
-0.034
What is the closest to 2/3 in 8/21, 2/239, 0.9, -1?
0.9
What is the nearest to -337 in -2/3, -0.1, -7/15311?
-2/3
Which is the nearest to 138? (a) 36 (b) 20 (c) -13
a
Which is the closest to 423? (a) 11245 (b) 1.1 (c) -3
b
What is the nearest to 533 in 0.5, -3, -0.1, 4, 40/7, -0.4?
40/7
Which is the closest to -2/7? (a) 9091423 (b) 2 (c) 1
c
Which is the nearest to 2/43? (a) 0.02 (b) -1/7 (c) 1/1955
a
Which is the nearest to -0.067? (a) -6 (b) -204.8 (c) 5
c
Which is the nearest to -1? (a) -3 (b) 4/3 (c) -12 (d) 6834
a
Which is the closest to 21.11? (a) -1/4 (b) 15/16 (c) 1
c
What is the closest to -0.19 in -2, 134, -1, -1.4?
-1
Which is the closest to -1046? (a) -14.11 (b) 6/7 (c) 4 (d) 1
a
Which is the closest to 0.4? (a) -787/3 (b) 19 (c) 1
c
Which is the nearest to 46? (a) 51714 (b) 2 (c) -4 (d) 3
d
Which is the closest to 5.3? (a) -0.12 (b) -4 (c) -3/43 (d) -13
c
What is the closest to -201 in 3, -30, 0.1, -19/5?
-30
What is the closest to -0.1 in -1/9, 4, 3/2, -0.6, 5/14732?
-1/9
Which is the closest to 0? (a) -1/2 (b) -316/51 (c) 16 (d) -2/5
d
Which is the closest to 10.349? (a) -0.5 (b) -193 (c) 0.3 (d) -1 (e) 0.5
e
What is the nearest to 1 in 0.4, -2/7, -33, 1789?
0.4
Which is the closest to 13? (a) -76/11 (b) -477 (c) 2
c
Which is the closest to -1? (a) 5 (b) 2/5 (c) -2987/20
b
What is the closest to -2/5 in 370262, -2/11, 1/11, -4?
-2/11
Which is the closest to 0.3182? (a) 0.1 (b) -1 (c) -5 (d) -2.23 (e) -6/5
a
What is the nearest to 0 in 0, 4, -38, 2, 0.05?
0
Which is the nearest to 0.244? (a) -1/2 (b) 10105 (c) 1/5
c
Which is the nearest to 5/11? (a) 0.4 (b) -1.39 (c) 77 (d) -2
a
Which is the nearest to 1/4? (a) 132 (b) 0 (c) -0.7 (d) 8
b
What is the nearest to -1.96 in 3, -3, -2/11, -2/523, -7, 1/3?
-3
Which is the closest to -4? (a) -3 (b) -0.02 (c) 1/97 (d) -1
a
What is the closest to -46 in -38/11, -0.02, 92?
-38/11
Which is the nearest to 2? (a) -4/7 (b) -4 (c) -45 (d) -17/5 (e) 14
a
Which is the closest to 0? (a) 10984 (b) -1/3 (c) -83
b
Which is the closest to 174/11? (a) 5 (b) 85 (c) 3 (d) -2/3 (e) 2/7
a
Which is the closest to 1? (a) -2077 (b) -0.5 (c) 2 (d) 0.09 (e) -152
d
Which is the closest to -2? (a) -2/7 (b) 1/45 (c) 5549 (d) 0.3
a
What is the nearest to -2/7 in -239, -117, -0.2, -2, 0.14?
-0.2
What is the nearest to -1 in -0.2, 0.5, 290, 1181/5, -5, 0.4?
-0.2
Which is the closest to -402? (a) 1/7 (b) 17/1002 (c) 2/7
b
What is the nearest to -2/5 in 3, 885387, -0.1?
-0.1
What is the closest to -15346 in -2, -5, -12?
-12
What is the nearest to -1 in -4, -1743, -658?
-4
What is the nearest to 0.3 in 3, 2994, 1.3?
1.3
What is the nearest to 269 in 2/11, -1384, -5, 3/8?
3/8
Which is the closest to 3? (a) -1 (b) -0.01 (c) -3/2 (d) 30/383
d
What is the closest to -1 in 2, 14861, -6?
2
Which is the nearest to 0.1? (a) -3/2 (b) 28/2067 (c) 11/2 (d) 5
b
What is the nearest to 995.3 in -0.01, 4, 5, 0.01, -3?
5
Which is the closest to -26219? (a) 1/4 (b) 0.5 (c) -30 (d) -4
c
What is the nearest to -79/5 in 1, -1, -3, 13, -2.8?
-3
What is the nearest to 9926 in 5, 1/8, -2/7, -9, 0.058?
5
Which is the nearest to -1.2? (a) -1990 (b) -0.07 (c) -1
c
Which is the nearest to -0.1? (a) -6/643 (b) 5 (c) 1 (d) -14 (e) 0.2
a
What is the nearest to 0.6 in -0.0182, 0, -8.742?
0
Which is the nearest to 0? (a) 9 (b) -0.2 (c) -70 (d) -3 (e) -17/4
b
Which is the nearest to -0.1? (a) -74/15 (b) -5/2 (c) -1/4 (d) -730 (e) -52
c
Which is the nearest to -5? (a) 1/4 (b) -0.0138 (c) 2 (d) -13
b
What is the closest to 0.5 in -1/5, -129, -5, 5, 178, -1?
-1/5
What is the nearest to -1 in 0.4, 884.384, 0?
0
What is the nearest to 3 in -1/849, -23.5, -0.5, 1, 3/2, -4?
3/2
What is the nearest to -56 in -0.4, 22, -1/18, -27?
-27
What is the closest to 1 in 0.4, -8/3, 0.1, -7?
0.4
Which is the nearest to -19? (a) -2/13 (b) 104 (c) 2/3 (d) -9
d
What is the nearest to -1 in -3, 6/7, 4/29, 52, 2/7, -7?
4/29
Which is the nearest to 0.75? (a) 0.1 (b) -0.03 (c) 5395
a
What is the closest to 7/11 in -2/3, -0.2, 0.210996?
0.210996
What is the closest to 2 in 0.76, 11/14, 1, 0.4, 0, -2?
1
What is the closest to -0.2 in 4, 25, 273, -1, 6?
-1
What is the closest to 0 in -8.19, 2, -4/53, -6, -5?
-4/53
What is the closest to -2/271 in 0.08, 0.2, 4, 0.5, 19?
0.08
What is the nearest to -27/8 in 46, -132, -3?
-3
What is the closest to 0 in 5/39, 40/7, 0.4, 3, 449?
5/39
Which is the closest to -0.1? (a) 4 (b) -52 (c) 2/31 (d) 2/81
d
Which is the nearest to 9? (a) -116 (b) -2/17 (c) -5 (d) -271
b
Which is the closest to 382? (a) 2/13 (b) -6/5 (c) 20 (d) 2
c
Which is the nearest to 0? (a) 20 (b) 0.3 (c) 1270359
b
Which is | {
"pile_set_name": "DM Mathematics"
} |
494
Find z, given that -3*z**2 + 40146*z = 0.
0, 13382
What is v in -v**4/4 - 4207*v**3/4 + 63255*v**2/4 - 316525*v/4 + 263875/2 = 0?
-4222, 5
Factor -1839*z**2/7 - 11037*z/7 - 18/7.
-3*(z + 6)*(613*z + 1)/7
Let -3*b**2/2 + 5415*b + 10836 = 0. Calculate b.
-2, 3612
Find n, given that -4*n**3 + 252*n**2 + 11224*n + 40608 = 0.
-27, -4, 94
What is u in 2*u**3 - 19800*u**2 - 99098*u + 475440 = 0?
-8, 3, 9905
Factor 3*r**2/4 + 88203*r/2 - 176409/4.
3*(r - 1)*(r + 58803)/4
Factor o**2 - 1934*o + 58993.
(o - 1903)*(o - 31)
Let -7*l**5/6 - 607*l**4/6 + 1340*l**3/3 + 27362*l**2/3 - 2640*l = 0. Calculate l.
-90, -8, 0, 2/7, 11
Suppose -3*f**5/4 + 4713*f**4/4 - 39651*f**3/2 + 18648*f**2 = 0. Calculate f.
0, 1, 16, 1554
Solve 5*p**3 - 6920*p**2 - 48625*p - 83460 = 0.
-4, -3, 1391
Determine v, given that v**4 - 309*v**3 - 2201*v**2 - 3471*v - 1580 = 0.
-5, -1, 316
Solve o**3 - 5842*o**2 - 29231*o - 23388 = 0 for o.
-4, -1, 5847
Factor -5*x**5 + 90*x**4 - 610*x**3 + 1900*x**2 - 2625*x + 1250.
-5*(x - 5)**3*(x - 2)*(x - 1)
Suppose 3*r**5/2 - 341*r**4/2 - 61*r**3 + 458*r**2 - 228*r = 0. What is r?
-2, 0, 2/3, 1, 114
Suppose 8*n**3/15 - 726*n**2/5 - 2012*n/5 - 770/3 = 0. Calculate n.
-7/4, -1, 275
Factor 5*n**2 + 312*n + 4048.
(n + 44)*(5*n + 92)
Factor -191837296875*x**2/8 + 758625*x/2 - 3/2.
-3*(252875*x - 2)**2/8
Determine p, given that -2*p**5/3 + 158*p**4/3 + 2278*p**3/3 + 10298*p**2/3 + 17380*p/3 + 9200/3 = 0.
-5, -2, -1, 92
What is w in -w**4 - 178*w**3 - 7905*w**2 + 2848*w + 126736 = 0?
-89, -4, 4
Suppose -2*d**3/3 - 268*d**2/3 + 1600*d = 0. Calculate d.
-150, 0, 16
Determine v so that 2*v**4/5 + 114*v**3/5 - 538*v**2/5 - 2994*v/5 + 3416/5 = 0.
-61, -4, 1, 7
Find f such that 2*f**4/5 - 1192*f**3/5 + 173978*f**2/5 + 1087212*f/5 = 0.
-6, 0, 301
Let -3*i**2 + 1080*i - 39237 = 0. Calculate i.
41, 319
Solve -75*u**5/4 + 14670*u**4 - 70269*u**3/2 + 26919*u**2 - 28083*u/4 + 585 = 0.
1/5, 1, 780
Determine z so that -14*z**3/3 + 156712*z**2/3 - 438524950*z/3 - 125305636/3 = 0.
-2/7, 5597
Determine u so that -u**2/4 - 600355*u/2 - 360426126025/4 = 0.
-600355
Solve -4*w**2 + 9040*w - 107904 = 0 for w.
12, 2248
Solve 3*j**2 + 50535*j + 50532 = 0 for j.
-16844, -1
Find r such that 3*r**2 - 670008*r + 37409226672 = 0.
111668
Suppose 5*k**3 + 48560*k**2 + 194175*k + 145620 = 0. What is k?
-9708, -3, -1
Let -125*j**4 + 390*j**3 + 2155*j**2 - 4980*j + 2560 = 0. Calculate j.
-4, 1, 128/25
Find q such that -2*q**5/15 + 72*q**4 + 15416*q**3/15 + 53212*q**2/15 - 5138*q/5 - 54292/15 = 0.
-7, -1, 1, 554
Factor 2695*v**2 - 7475*v + 4170.
5*(v - 2)*(539*v - 417)
Suppose -3*j**3/4 - 19689*j**2 - 129218907*j = 0. Calculate j.
-13126, 0
Suppose 29*p**3 - 1361*p**2 + 9824*p + 684 = 0. Calculate p.
-2/29, 9, 38
Determine k, given that 15*k**2 - 5600*k + 112640 = 0.
64/3, 352
Find c such that 40*c**4 - 39045*c**3 - 78210*c**2 - 39125*c = 0.
-1, 0, 7825/8
Determine s so that -s**5 - 233*s**4 - 16996*s**3 - 294544*s**2 + 6724000*s - 12130096 = 0.
-82, 2, 11
Factor -3*t**3 - 7224*t**2 - 4356063*t - 8683254.
-3*(t + 2)*(t + 1203)**2
Solve 2*u**5/9 - 146*u**4/9 + 2276*u**3/9 + 4708*u**2/3 + 2314*u + 1014 = 0.
-3, -1, 39
Determine b, given that 51*b**3 + 8688*b**2 + 121635*b + 41850 = 0.
-155, -15, -6/17
Find v such that 4*v**5 + 1608*v**4 - 6672*v**3 - 71072*v**2 + 158208*v + 935424 = 0.
-406, -4, 6
Determine o, given that -5*o**2 + 392250*o - 7693003125 = 0.
39225
Factor -5*y**3 + 59180*y**2 - 175113620*y.
-5*y*(y - 5918)**2
Find i, given that -12*i**5 + 432*i**4 + 921*i**3 - 321*i**2 - 792*i - 228 = 0.
-2, -1/2, 1, 38
Factor -x**5 + 5*x**4 + 54*x**3 + 124*x**2 + 88*x.
-x*(x - 11)*(x + 2)**3
Factor 2*x**4 - 8*x**3 - 1014*x**2 - 4732*x + 35152.
2*(x - 26)*(x - 4)*(x + 13)**2
Suppose 3*p**4/4 + 39561*p**3/2 + 19779*p**2 - 39561*p/2 - 79119/4 = 0. What is p?
-26373, -1, 1
Let 328*k**3/9 + 330*k**2 + 18*k = 0. What is k?
-9, -9/164, 0
Let -3*g**5/4 - 405*g**4/4 - 393*g**3/4 + 1209*g**2/4 + 99*g - 201 = 0. What is g?
-134, -2, -1, 1
Suppose -i**2/6 - 17039*i/3 - 290327521/6 = 0. What is i?
-17039
Factor -r**2/2 + 260493*r - 67856603049/2.
-(r - 260493)**2/2
Suppose -d**3/4 + 117*d**2 + 60535*d/4 + 88683/2 = 0. What is d?
-103, -3, 574
Let 2*a**2/5 - 6144*a/5 - 43106/5 = 0. What is a?
-7, 3079
Let 4*h**4 - 400304*h**3 + 1200888*h**2 - 1200880*h + 400292 = 0. Calculate h.
1, 100073
Find h, given that -5*h**2 + 5950*h - 1770125 = 0.
595
What is w in 3*w**2/2 - 217299*w/2 - 108651 = 0?
-1, 72434
Factor 2*f**2/5 + 1038*f/5 + 21868/5.
2*(f + 22)*(f + 497)/5
Factor 2*q**3 - 300*q**2 + 4416*q - 17152.
2*(q - 134)*(q - 8)**2
Find u, given that 2*u**3 - 659602*u**2 - 1319210*u - 659606 = 0.
-1, 329803
Factor 4*z**2 - 1260*z + 13376.
4*(z - 304)*(z - 11)
Factor 361*x**4/3 - 32053*x**3/3 - 6760*x**2/3 - 356*x/3.
x*(x - 89)*(19*x + 2)**2/3
Determine o, given that -2*o**5/11 + 10*o**4/11 + 432*o**3/11 + 488*o**2/11 - 13696*o/11 - 26112/11 = 0.
-8, -2, 6, 17
Find p, given that -2*p**2/9 - 11764*p/9 + 23536/9 = 0.
-5884, 2
Factor -4*r**2 + 71640*r - 71636.
-4*(r - 17909)*(r - 1)
Let -3*i**5 - 192*i**4 - 108*i**3 + 5178*i**2 + 4575*i - 9450 = 0. What is i?
-63, -5, -2, 1, 5
Factor -t**2/4 - 48421*t/4 - 12105.
-(t + 1)*(t + 48420)/4
Factor -3*i**4/4 + 1026*i**3 - 720009*i**2/2 + 6232950*i - 110716875/4.
-3*(i - 675)**2*(i - 9)**2/4
Solve -2*l**4 - 20*l**3 + 10*l**2 + 300*l - 288 = 0.
-8, -6, 1, 3
Suppose -x**5/3 + 26*x**4 - 493*x**3 - 1558*x**2/3 = 0. Calculate x.
-1, 0, 38, 41
Solve 2*p**4 + 18*p**3 - 360*p**2 - 4600*p - 12000 = 0 for p.
-10, -4, 15
Solve -30*d**2 + 692*d - 46 = 0.
1/15, 23
Let 14*z**4/3 + 38372*z**3/3 + 8883594*z**2 + 488141704*z/3 - 592742720/3 = 0. What is z?
-1361, -20, 8/7
Factor 2*r**3/5 + 136312*r**2/5 + 464496770*r - 4645512964/5.
2*(r - 2)*(r + 34079)**2/5
Find t, given that -t**2/4 - 991*t - 3963/4 = 0.
-3963, -1
Suppose -2*o**2/17 - 160*o/17 - 3192/17 = 0. What is o?
-42, -38
Factor -2*s**3 - 254*s**2 - 7404*s - 47520.
-2*(s + 9)*(s + 30)*(s + 88)
What is s in -3*s**2 + 1154268*s - 111027884652 = 0?
192378
Solve -3*a**4 + 567*a**3 - 19176*a**2 - 293940*a - 946944 = 0.
-6, 64, 137
Factor -90*r**2 + 3061*r - 34.
-(r - 34)*(90*r - 1)
Factor -q**3/4 + 61*q**2 - 121*q.
-q*(q - 242)*(q - 2)/4
Factor -5*b**2 + 1029720*b - 53016163920.
-5*(b - 102972)**2
Factor m**4/5 + 866*m**3/5 + 189213*m**2/5 + 746492*m/5 + 743044/5.
(m + 2)**2*(m + 431)**2/5
Determine y so that -2*y**2/7 + 8228*y/7 - 8462498/7 = 0.
2057
Factor u**3/4 + 9332*u**2 - 74659*u/4 + 18665/2.
(u - 1)**2*(u + 37330)/4
Factor s**2/5 + 183*s/5 + 6116/5.
(s + 44)*(s + 139)/5
Factor 5*r**4 - 75020*r**3 + 281849780*r**2 - 3374099520*r + 10114202880.
5*(r - 7496)**2*(r - 6)**2
Let -20*l**5/7 + 124*l**4/7 + 268*l**3 - 860*l**2/7 - 7184*l/7 + 208 = 0. What is l?
-7, -2, 1/5, 2, 13
Solve -9660*l**2 - 9663*l - 3 = 0 for l.
-1, -1/3220
Determine f so that -2*f**3 + 2824*f**2 - 991200*f - 4010112 = 0.
-4, 708
Factor 4*h**2/7 - 93064*h + 3789147292.
4*(h - 81431)**2/7
Suppose 30*r**3 + 155275*r**2 - 336560*r + 51780 = 0. Calculate r.
-5178, 1/6, 2
Suppose 4*y**3/3 + 304*y**2/3 - 548*y - 648 = 0. Calculate y.
-81, -1, 6
Suppose x**2/5 - 27956*x/5 + 195384484/5 = 0. What is x?
13978
Factor 5*z**4/2 + 7845*z**3 - 15700*z**2.
5*z**2*(z - 2)*(z + 3140)/2
Let -3*n**5/4 + 189*n**4/4 + 354*n**3 + 930*n**2 + 1044*n + 420 = 0. Calculate n.
-2, -1, 70
Factor d**3 + 3431*d**2 - 201521*d + 2934249.
(d - 29)**2*(d + 3489)
What is b in -b**5 + 220*b**4 - 18000*b**3 + 663390*b**2 - 10537695*b + 58510998 = 0?
13, 18, 63
Let 474*y**4/7 + 2682*y**3/7 + 11782*y**2/21 + 5114*y/21 - 44/21 = 0. Calculate y.
-11/3, -1, 2/237
Solve -2*v**4/7 + 10216*v**3/7 + 61358*v**2/7 + 51164*v/7 - 122736/7 = 0 for v.
-4, -3, 1, 5114
Let h**2/7 - 12050*h/7 - 12051/7 = 0. What is h?
-1, 12051
Factor -g**2/4 + 1107*g/4.
-g*(g - 1107)/4
Suppose 140*s**5 - 7145*s**4 + 13965*s**3 + 20*s**2 - 980*s = 0. What is s?
-1/4, 0, 2/7, 2, 49
Factor 45*d**2 + 89920*d + 19980.
5*(d + 1998)*(9*d + 2)
Let -4*f**2 - 3568*f - 555564 = 0. What is f?
-691, -201
Find q such that -84*q**5 + 22396*q**4 - 1564480*q**3 + 9479648*q**2 - 5420480*q + 811200 = 0.
2/7, 1/3, 6, 130
Factor -2*c**2/13 - 148572*c/13 + 594320/13.
-2*(c - 4)*(c + 74290)/13
Factor 2*g**3/3 - 10*g**2/3 - 176*g/3 - 416/3.
2*(g - | {
"pile_set_name": "DM Mathematics"
} |
-19.89. Let s = 1.69 - 1.8. Let n = s - g. Which is the closest to 1? (a) -1 (b) n (c) -2
b
Let v = -0.65077 - 0.04923. Which is the nearest to 1? (a) -29 (b) 4 (c) v
c
Suppose -3*b + 47*v + 55 = 51*v, 4*b = -5*v + 72. Let j be (89 - 84) + b/(-2). What is the nearest to 0 in -2/9, -3, 2, j?
-2/9
Let v = 9.999 + 107.001. Which is the nearest to 0.1? (a) -2/11 (b) v (c) 12
a
Let w = -189 - -115. Let k = 74.51 + w. Let r = -0.31 + k. What is the closest to -0.2 in 0, r, -1/4?
-1/4
Let j = -1.7 - -2.2. Let o = 5 - 4. Let v = -1365.8 + 1366. What is the closest to o in v, -0.2, j?
j
Let k = 5755/564 + -1474/141. Let f = -73/105 - -2/21. Which is the closest to 0.25? (a) f (b) 0.2 (c) k
b
Let x = 8 - 4. Let p = -383491.7 - -383492. What is the closest to p in x, -3/2, 1/4, 1?
1/4
Suppose 3 + 3 = 2*o. Let b = -53.78 + -0.72. Let s = b - -55. What is the nearest to 1 in s, o, 2?
s
Let b = 2/2789 + -5584/8367. Let p = 20 - 26. Let y = 9 + p. What is the closest to b in 0.1, y, -2/7?
-2/7
Let q = -205.918 + 206. Let u = -0.082 + q. Let l = 0.3 + -0.2. What is the nearest to u in l, -2/3, 5?
l
Let c(j) = j**3 + 5*j**2 + j - 5. Suppose n - 15 = 3*m - 0*n, 0 = n. Let w be c(m). Let o = 3 + w. What is the nearest to o in -1, -1/3, -3?
-3
Let w = -11.2077 - -0.2077. Let r = 1.2 - 13.2. Let v = w - r. What is the closest to v in -3, 2/17, 0.5?
0.5
Let f(l) = l**3 - 70*l**2 + 135*l + 62. Let w be f(68). Let v = -3.4 - -0.4. Let u = -0.7 - -0.2. What is the closest to -2 in w, v, u?
v
Let z = 6/461 - -904/1383. Which is the closest to 0.6? (a) 1/2 (b) 85 (c) z
c
Let h be (-2)/((-600)/322) + 1215/(-1458). Which is the nearest to -0.2? (a) h (b) 8 (c) 1
a
Let a be 62/(-168) + 0/12. Let s = a + 1/28. Let h(d) = -6*d**2 - d + 1. Let g be h(-1). What is the closest to s in -5, g, -2/7?
-2/7
Let w = -7/2 - -3. Let y = 889736 + -889736.2. Which is the closest to y? (a) 2 (b) -5 (c) w
c
Let k = 21175/6 + -3529. Let f = -11.13 + 2.03. Let y = f - -9. Which is the closest to 0.2? (a) -0.06 (b) k (c) y
b
Let m = 3319 + -3314. Which is the nearest to m? (a) 0.4 (b) 1/3 (c) 5
c
Let m(o) = 8*o - 9 + 1 + o - 10*o. Suppose 3*d + d = -24. Let h be m(d). What is the closest to 1 in 3/8, -0.1, h?
3/8
Let o = -291 - -3785/13. Let h be (-1)/3 - (-5)/15. Suppose -m + 15 = -3*n, 3*m + 2*n = -m + 4. Which is the nearest to h? (a) 0.5 (b) m (c) o
c
Let v = -571 + 568. Let k = 46 + -41. Which is the closest to k? (a) v (b) -0.3 (c) -2
b
Let u = 0.3 - -0.7. Let a = 4.961756 + 0.038244. What is the nearest to 1/3 in -0.6, u, a?
u
Let s = -2156/19431 + -1/6477. Let k(g) = g**2 + 6*g - 9. Let d be k(-7). What is the nearest to -0.1 in s, 4, d?
s
Let f = -666 + 671. Which is the nearest to f? (a) -4 (b) 0.36 (c) -1/2 (d) -0.1
b
Let h be 4/6 + (-11 - (-6645)/630). Which is the nearest to -61? (a) h (b) -2 (c) -4
c
Suppose -4*m - 3*r - 9 = 14, -3*m - 26 = 4*r. Suppose -115*q - 6301 + 6761 = 0. Let l = -6 + 2. Which is the closest to 0.1? (a) l (b) m (c) q
b
Let k = 631 + -635. Suppose 0 = -f - l + 3, -5*f + l - 1 = 2*l. Let r = 2.37 - 0.37. Which is the nearest to r? (a) k (b) 2 (c) f
b
Let v = 117621/415 - 1417/5. Let k = 1110 + -1108. What is the closest to 0.1 in k, v, 5?
v
Let z = -346.7 + 333.7. Which is the closest to -1? (a) -2 (b) z (c) 0.4
a
Let f = 4.78 - 4.68. Let n = -403 + 4033/10. Which is the nearest to f? (a) n (b) -1/6 (c) 2
a
Let b = -169.1 - -168.7. Let l = 1 + -1/3. What is the closest to 2/3 in -0.1, l, 4, b?
l
Let h = -183.24 + 179. Let f = 3.84 + h. What is the nearest to -7 in -1/5, f, -0.3?
f
Let t be ((-4)/(-2) - 12)/(-23 - (27 + -48)). Which is the closest to -0.1? (a) 151/6 (b) -3 (c) t (d) -0.4
d
Let m be (-972)/405 - (-15)/((-45)/(-6)). Let w = -1.3 + 0.3. What is the nearest to m in 3/8, 0.01, w?
0.01
Let i(p) = -p**3 + 10*p**2 + 3*p - 31. Let l(y) = y - 2. Let d be l(12). Let w be i(d). Which is the closest to w? (a) 5 (b) -1 (c) 101
b
Suppose 0 = 10*h + 20. Let r = 126 + -133. Which is the closest to r? (a) 0 (b) -1/4 (c) h
c
Let y(k) = k**2 - 436*k + 9500. Let j be y(23). What is the nearest to 1 in -0.3, -1, 299, j?
j
Suppose 0 = 43*h + 10 - 10. Which is the nearest to 1? (a) h (b) 1/2 (c) 5.99 (d) -0.1
b
Let t = -25.1 - -30.1. What is the nearest to t in 4/9, -0.2, -4?
4/9
Let u(d) = -8*d**2 + 83*d - 11. Let s be u(10). Let p be 2/(-12) + (-1)/3. Let y = -6 + 3. Which is the closest to 1? (a) y (b) s (c) p
c
Let v = -10.9 - -2.9. Let a = -15 - v. Let k = a + 11. What is the nearest to -2/7 in -1/3, -0.3, k?
-0.3
Let p be (-4991)/(-17017) + 6/26 - (-4)/22. Which is the closest to p? (a) 0.3 (b) 1 (c) 1/4 (d) -1/12
b
Let w = 0 - 0.3. Let y = 16 - 11. Let u = 35312 - 35314. Which is the closest to u? (a) -3/8 (b) y (c) w
a
Let c = -6.207 + 6.207. What is the closest to c in -52/3, 4, -3?
-3
Let j = 0.08 + -0.38. Let c be (30/20*16/(-12))/8. What is the nearest to c in -6, 3, j?
j
Let s = -1811.4303 + 0.4303. Let l = 1812.994 + s. Let f = -0.006 - l. Which is the nearest to 1? (a) f (b) -2/3 (c) -0.4
c
Let i = -461852 + 461849. Let k = -0.43 + 25.43. What is the nearest to 0 in i, k, -4/3, -0.1?
-0.1
Let r = -198.985 + 198.785. Let t = 0.4 - 2.4. Let w(k) = -k**3 - 3*k**2 - 3*k - 3. Let v be w(-3). Which is the closest to r? (a) t (b) -0.4 (c) v
b
Let r = -25542 - -25543. What is the nearest to r in -1, 31, 1.2?
1.2
Let x(m) = -m**2 + 2*m - 1. Let i be x(-2). Let f be (-11)/i - -1 - 2. Let z be 3/6*(50/(-15) + 4)*1. Which is the nearest to z? (a) f (b) 5 (c) -5
a
Let o = 1/53 - -42/583. Let l = 14/33 - o. Let n = 5 + 0. Which is the nearest to l? (a) 12 (b) 2 (c) n
b
Let a be ((-2)/24)/((-228)/5130 + 2/(-90)). Let b = 0.02 + 0.98. What is the closest to -3 in b, a, -5?
-5
Let g = 0.634 + 3.366. Let r = 200/9 + -22. Which is the nearest to -3? (a) g (b) r (c) 3
b
Let v = 431 - 432. Let o be (-10)/(-1 - (1 + 0)). Let r be 0 + 1*(-1 - 0). Which is the nearest to r? (a) 1/2 (b) v (c) o
b
Let d = 509.81216 + 0.18784. What is the nearest to 2 in -5, 3/5, d?
3/5
Let n = 10.15 + -9.95. What is the closest to 0 in n, 0.6, -1/6, -5?
-1/6
Let i be -3*((-16)/216)/((-4)/3062). Let y = i - -170. Suppose 0 = h - 3*m - 1, 3 + 0 = -4*h + 5*m. Which is the closest to h? (a) -1 (b) 2/15 (c) y
a
Let s = -8344 - -8347. Let i = 26 - 107/4. Which is the nearest to -9? (a) i (b) s (c) -4 (d) -4/5
c
Let s = 5.6 - 3.6. Let m = 0.8 + -0.5. What is the nearest to -1/4 in -2/9, m, s?
-2/9
Let r = -204 - -841/4. Let q = r - 7. Let f be 6 + (2/(-2) - 1). What is the nearest to q in f, 0.4, 0.2?
0.2
Let s = -3.1 - -3. Let p = 339 + -341.87. Let t = p - -4.87. Which is the closest to 1? (a) s (b) t (c) 4
b
Let c = 26.69 + -23.69. Let w be -1*((-8)/1)/4. Suppose 0*m = -w*m + 2. What is the nearest to -0.1 in -0.4, m, c?
-0.4
Let k = 130 + -150.6. Let t = -4.6 - k. Let g = t + -15.5. What is the nearest to 2/9 in 5, g, 14?
g
Let k = 766.431 + -766.131. Let z = 0.3 + -0.2. Which is the closest to z? (a) -0.4 (b) -1/9 (c) k (d) -11
c
Let q be (5 - 1)*(-1)/(-5). Let h = -8159.1 - -8890. Let p = 731 - h. What is the closest to 1 in p, -0.5, q?
q
Suppose -38 = 11*r - 5. Let k be ((-2)/4 - 0)*(-5 + r). What is the nearest to -1 in -22, k, -0.4, 0.4?
-0.4
Let p = 8797 - 8797.2. What is the nearest to -1 in p, 0, 1.41, 0.4?
p
Let j = 0.03834 - -0.03166. Which is the closest to 0.1? (a) j (b) -210 (c) -4
a
Let i = -14983 - -14971. What is the closest to 0 in i, 86, -0.2?
-0.2
Let i(m) = -m**3 + 16*m**2 - 7*m - 11. Let l be i(15). Let t = 109 - l. Which is the closest to 1? (a) -3/5 (b) 0.2 (c) t (d) -5
b
Let l = -10.59 + -267.71. Let s = l + 278. Which is the nearest to -5? (a) 0.07 (b) -0.4 (c) s
b
Let n = -2.333 - 0.667. Which is the nearest to 0? (a) 0 (b) 20 (c) n
a
Let v be -2*(3/39 + 0). Let y = 220.42 - 3.42. Let p = 222 - y. What is the closest to v in 3, -3, p?
-3
Let x = -6.4 + 1.4. Let m = -1772 - -1772.2. Let n = 1 - -1. What is the closest to m in x, n, -1?
-1
Let o = -2 - 0. Let c = -0.240374 - -0.340374. What is the closest to 0.04 in c, 1/4, o?
c
Let m = -2.2 + 33.54. Let w = -64.28 + m. Let z = w + 33. What is the nearest to 0 in 2/9, -4, z?
z
Let n = 7 - 6. Suppos | {
"pile_set_name": "DM Mathematics"
} |
number?
True
Is 9086071373 a prime number?
False
Is 6118278843 a prime number?
False
Is 64091934383 a composite number?
True
Is 8298990757 a prime number?
True
Is 21325307387 a prime number?
True
Is 17240457977 a prime number?
True
Is 1839184769 prime?
True
Is 285078581 a prime number?
True
Is 13210557247 prime?
True
Is 5154556997 composite?
False
Is 3306545537 a composite number?
True
Is 16186699987 composite?
True
Is 2198663017 a prime number?
False
Is 11170714133 a prime number?
False
Is 68906547453 prime?
False
Is 81208766527 a composite number?
True
Is 2174847905 a prime number?
False
Is 15078769681 a composite number?
False
Is 709591969553 composite?
False
Is 23824190641 composite?
False
Is 2305019771 prime?
True
Is 42858463331 a composite number?
False
Is 3845868077 composite?
False
Is 4918463 composite?
True
Is 28095214547 a prime number?
True
Is 4292449811 a prime number?
False
Is 689814863 a composite number?
False
Is 4294892579 a composite number?
False
Is 55817627323 prime?
False
Is 19484488669 a prime number?
False
Is 6820364585 composite?
True
Is 23707970929 a composite number?
True
Is 3994292809 prime?
False
Is 59377115977 a composite number?
True
Is 493652057 a composite number?
True
Is 72100598041 a prime number?
False
Is 9875779 composite?
True
Is 3972452399 a composite number?
False
Is 74943341453 composite?
True
Is 585233533 a prime number?
True
Is 711463693 a composite number?
True
Is 1426619594 a composite number?
True
Is 908422087 prime?
True
Is 3326136899 a composite number?
False
Is 1544954707 prime?
False
Is 25318358291 a composite number?
True
Is 213557687 a prime number?
False
Is 15679184011 prime?
True
Is 2009474681 a composite number?
True
Is 1037343227 a composite number?
False
Is 52863591961 a prime number?
False
Is 171645707 prime?
False
Is 165106550087 a prime number?
False
Is 90162930439 a prime number?
True
Is 29843987 prime?
False
Is 2131611569 a prime number?
False
Is 481879031 composite?
False
Is 1075203617 a composite number?
True
Is 4356319771 prime?
True
Is 1618525561 composite?
False
Is 4839403 a composite number?
False
Is 11632984159 a composite number?
True
Is 126123983 a composite number?
True
Is 165983261 composite?
False
Is 2339131191 a prime number?
False
Is 22259954851 composite?
False
Is 1119718949 a prime number?
True
Is 1030781347 a composite number?
False
Is 718448089 prime?
True
Is 64466399 composite?
True
Is 7049441873 composite?
False
Is 848090821 composite?
True
Is 1423876609 a prime number?
False
Is 132016141 prime?
True
Is 175526149 composite?
False
Is 68230554529 composite?
False
Is 2403022253 prime?
True
Is 133693033807 composite?
True
Is 333689804779 composite?
True
Is 1558342799 a composite number?
True
Is 368400967 composite?
True
Is 3463303999 composite?
True
Is 4863189979 composite?
True
Is 1349356213 composite?
True
Is 64601373017 a prime number?
True
Is 570061003 a composite number?
True
Is 4268921471 composite?
True
Is 365595947 prime?
True
Is 7651628081 a composite number?
True
Is 11595130861 prime?
False
Is 5495406313 composite?
True
Is 5646971387 composite?
False
Is 170237911 a composite number?
False
Is 1099491721 prime?
True
Is 7170696461 prime?
False
Is 33288974843 prime?
True
Is 1465895891 composite?
True
Is 9924505121 prime?
False
Is 1512974117 a prime number?
True
Is 722007193 a prime number?
True
Is 28058963719 a composite number?
True
Is 2005855679 a composite number?
False
Is 25020351061 composite?
False
Is 1777624753 a composite number?
True
Is 35261299 prime?
False
Is 34261509829 a composite number?
False
Is 4681537381 a prime number?
True
Is 19905915461 composite?
True
Is 7910575027 a composite number?
False
Is 8323444553 a composite number?
True
Is 30003738977 composite?
False
Is 10190887157 a prime number?
False
Is 84276221 a composite number?
True
Is 76242375589 composite?
False
Is 2485223261 prime?
True
Is 1549125979 composite?
False
Is 14242944115 prime?
False
Is 67738423 composite?
False
Is 9825898807 a composite number?
False
Is 394421231 a composite number?
True
Is 185188763 composite?
True
Is 9510532189 prime?
True
Is 235528843609 a composite number?
False
Is 38195629217 composite?
False
Is 1481569234 prime?
False
Is 31281010483 a composite number?
True
Is 326200201 a prime number?
False
Is 99712690697 a composite number?
True
Is 47892071 composite?
False
Is 33366851591 a composite number?
True
Is 1080978113 prime?
True
Is 189159029 a composite number?
False
Is 13597703689 a prime number?
False
Is 1463251039 a composite number?
True
Is 334547688803 prime?
True
Is 4359735709 a composite number?
True
Is 73419803761 prime?
False
Is 49048847 a composite number?
False
Is 14034903001 a composite number?
True
Is 4392895537 prime?
True
Is 228036563 prime?
True
Is 1221360277 composite?
True
Is 33591263843 composite?
True
Is 1665569231 prime?
True
Is 344314781 a composite number?
False
Is 15266603927 composite?
True
Is 28269657551 a prime number?
True
Is 50319283541 a composite number?
True
Is 20887484503 a prime number?
False
Is 1418216629 a prime number?
True
Is 7036403329 composite?
False
Is 1166620943 a prime number?
False
Is 1293740797 composite?
False
Is 178023973 composite?
False
Is 4578409153 prime?
True
Is 40315727 composite?
False
Is 113823767 a prime number?
True
Is 22178182463 a composite number?
False
Is 18930473179 a composite number?
False
Is 15833136329 a prime number?
False
Is 1467981143 a composite number?
False
Is 1699820707 composite?
True
Is 7265150371 composite?
False
Is 559199471 a composite number?
True
Is 691205723 prime?
False
Is 3052561037 composite?
False
Is 115898723 composite?
False
Is 3810379369 a composite number?
True
Is 1919311717 a prime number?
False
Is 112094977883 a prime number?
False
Is 1158839729 composite?
False
Is 161731011146 a composite number?
True
Is 24036703927 a prime number?
True
Is 9654735991 composite?
True
Is 520564277 a composite number?
False
Is 12374731111 composite?
False
Is 651037987 prime?
False
Is 2655751127 a prime number?
True
Is 7134022607 prime?
False
Is 1517468657 a prime number?
False
Is 19237506947 composite?
True
Is 78186855683 composite?
True
Is 58976590099 a prime number?
False
Is 24189554561 a prime number?
False
Is 145773958199 a prime number?
True
Is 31350403895 a composite number?
True
Is 6500836391 a prime number?
False
Is 1780821629 a composite number?
True
Is 93931727 a composite number?
False
Is 19978651291 composite?
False
Is 16890622379 a composite number?
False
Is 18330748547 a prime number?
False
Is 7787276743 a composite number?
True
Is 52337375569 prime?
False
Is 166755311 prime?
True
Is 3702335501 prime?
False
Is 356410993 prime?
True
Is 365737283759 a composite number?
True
Is 32085887503 prime?
True
Is 6720655043 prime?
True
Is 4322977409 a composite number?
True
Is 5704964743 a composite number?
False
Is 1616084737 a composite number?
False
Is 25885322329 composite?
False
Is 234952961 a composite number?
False
Is 144646907 a composite number?
True
Is 37581757679 prime?
True
Is 112997251 prime?
True
Is 102869711071 a composite number?
True
Is 576341461 prime?
True
Is 700611991 a prime number?
False
Is 1678149563 a prime number?
True
Is 563439593 prime?
True
Is 3568785109 prime?
False
Is 970918901 prime?
True
Is 837670585 a prime number?
False
Is 4175034317 composite?
True
Is 2121172927 composite?
True
Is 185753807 a prime number?
False
Is 2133286219 composite?
False
Is 276392929 composite?
False
Is 941862037 a composite number?
False
Is 1634930677 composite?
True
Is 2845627243 a prime number?
True
Is 28664530073 composite?
True
Is 3655313579 prime?
False
Is 3197796541 a composite number?
False
Is 8309661071 a composite number?
False
Is 3851495839 a composite number?
False
Is 109550468747 a prime number?
True
Is 6515257778 a composite number?
True
Is 9339814303 a composite number?
True
Is 27199131515 prime?
False
Is 513082607 a prime number?
True
Is 358781598077 a prime number?
False
Is 8244635603 a composite number?
False
Is 23849491 prime?
True
Is 2481328709 a composite number?
False
Is 13883627491 a prime number?
False
Is 585182933 composite?
False
Is 757088669 a composite number?
False
Is 8602856599 a prime number?
False
Is 3547651889 a prime number?
True
Is 97296620 | {
"pile_set_name": "DM Mathematics"
} |
t of z(8)?
6
Suppose 0 = -5*n + h + 4334, -2*n = -2*h + 5*h - 1720. What is the tens digit of n?
6
Let y = 1 + 9. Let n(s) = -s**2 + 12*s - 18. Let f be n(y). What is the units digit of 59 + 5/((-5)/f)?
7
Let w(x) be the third derivative of 0 + 1/30*x**5 - 1/6*x**3 - 6*x**2 + 1/8*x**6 + 0*x - 1/24*x**4. What is the tens digit of w(1)?
1
Let t(h) = -3*h - 2. Let k = -1 - 6. What is the units digit of t(k)?
9
Suppose 27*j - 16699 + 2848 = 0. What is the tens digit of j?
1
Let v(k) = k**3 - 15*k**2 - 22*k - 22. What is the tens digit of v(18)?
5
Suppose -3*n + 12 = n. Suppose 0 = -8*h + n*h + 530. What is the tens digit of h?
0
Suppose 0 = 5*t - 3*y - 403, -28 = -2*y - 20. What is the units digit of t?
3
Let s = 920 - -261. What is the tens digit of s?
8
Let q = 5795 + -3291. Let h be 6/(-10) + q/40. Suppose -4*t = -34 - h. What is the tens digit of t?
2
Suppose 0*l - 2 = -l - 5*y, -2*y - 30 = -4*l. Let u(v) = v**3 - 5*v**2 - 3*v - 4. What is the tens digit of u(l)?
7
Let g be (18/4)/(7/14). Let n(h) = g*h**2 - h**3 - 9*h + 0*h**2 + 3 + h**2 + 5. What is the units digit of n(9)?
8
Let u(t) = -10*t - 25. Let g(s) = -30*s - 74. Let k(w) = 2*g(w) - 7*u(w). What is the tens digit of k(6)?
8
Let v(y) = y**2 + 14*y - 13. Let u be v(-15). Suppose -m + 9 + 38 = 5*i, 0 = u*i. What is the units digit of m?
7
Let v(r) = -10 + 28*r - 71*r + 26*r. What is the tens digit of v(-4)?
5
Suppose -5*l - 25 = -f, -5*l - 18 = -2*f + 7. Suppose f = -c - c + m - 824, 2*m - 2059 = 5*c. What is the units digit of c/(-15) + 4/(-10)?
7
Suppose 81*h = 103*h - 9636. What is the units digit of h?
8
Let k(r) = -r**2 + 8*r + 29. Let x be k(11). What is the tens digit of (x - 304/12 - -4)*-3?
7
Suppose -3*w - 215 = -2*x, 0*x + 330 = 3*x - 3*w. What is the hundreds digit of x?
1
Suppose -h = 4*h - 10. Let u = 13 - h. Let r(b) = b - 1. What is the tens digit of r(u)?
1
Let m(o) = -8*o**3 - 6*o**2 + 13*o - 8. Let t(l) = -7*l**3 - 7*l**2 + 13*l - 8. Let n(q) = 6*m(q) - 7*t(q). What is the tens digit of n(-13)?
7
Let u = -225 - -433. What is the hundreds digit of u?
2
Let t = -1632 - -3409. What is the units digit of t?
7
Let t = 34 - 28. Let y(c) = 27*c + 11. What is the tens digit of y(t)?
7
Let g(l) = 3*l**2 + 2*l - 1. Let c be g(4). Suppose 9 - c = a. What is the units digit of (-9)/(-6) - a/4?
3
Suppose -6*y + 0*y = 210. Let f = y - -34. Let u(k) = -10*k**3 - 2*k**2 + 1. What is the units digit of u(f)?
9
Let k(f) be the first derivative of f**4/4 - 3*f**3 + 15*f**2/2 + 11*f + 10. What is the tens digit of k(8)?
6
Suppose 2*b - 7 = -145. Let h = -14 - b. What is the units digit of h?
5
Let i = -659 + 1324. What is the units digit of i?
5
Let s(p) = p**3 - 2*p - 1. Let d be s(2). Suppose -2*y + 5*y + d = 0. Let k = 9 + y. What is the units digit of k?
8
Suppose -43*j - 17*j + 180 = 0. Suppose 137 = 3*d + 2*n, -2*d - 3*n + 93 = -0*d. Suppose 0 = -j*f + d + 69. What is the tens digit of f?
3
Let o = -727 + 780. What is the tens digit of o?
5
Suppose -5405 = -7*j + 5550. What is the thousands digit of j?
1
Let m(s) = 17*s. Let i be m(1). Suppose x + 5 - i = 0. What is the units digit of x?
2
Suppose 2 + 3 = o. Suppose 3*g - g = 2*u + 20, g + o*u - 28 = 0. Suppose 5*l - 102 = g. What is the units digit of l?
3
Suppose 0*o = 2*o + 202. Let g = 78 - 150. Let r = g - o. What is the units digit of r?
9
Let d(g) = 10*g + 90. What is the units digit of d(6)?
0
Let a be (-1 + 2)/((-3)/(-129)). Let m = a - 77. Let x = -24 - m. What is the units digit of x?
0
Suppose r - 490 = 131. What is the units digit of r?
1
Let y be ((-1)/2)/(3/(-36)). Suppose y = -2*x - 0*x. What is the tens digit of 3/9 + (-59)/x?
2
Suppose 5*v = -l + 67, 2*v - 3*l = 11 + 26. Let a = v + -10. Suppose 0 = 2*y - 18 - a. What is the units digit of y?
1
What is the units digit of (321 + -3)/1 - 6?
2
Let z = -13 - -23. Suppose -4*k - k = -z. Suppose 0 = -k*r, -4*o - r + 24 = 3*r. What is the units digit of o?
6
Let m(a) = 5*a**2 - 2*a. Let i be (5 - -1)*6/(-12). Let z be m(i). Suppose 2*q = c + 43, 0 = -5*q + q - 5*c + z. What is the units digit of q?
9
Let d(y) = y**3 + 4*y**2 - y. Let j be d(-4). Suppose -j*g = 4*n, 2*g + 6 = -n + 4. Suppose 3*v = -i - n + 8, -2*i - 12 = -2*v. What is the units digit of v?
3
Let v(z) = z**2 + 11*z + 13. Let c be v(-10). What is the units digit of (-304)/c*(-54)/48*2?
8
What is the tens digit of 48/10*(-20 - -655)?
4
Let z be (-2688)/(-22) - 8/44. Suppose -i + 5*x + 28 = 0, 2*x - z = -3*i - 2*x. What is the tens digit of i?
3
Let b(j) = -j - 1. Let r be b(-5). Suppose 6*g - 21 = 2*g + 5*n, 12 = r*g + 4*n. Suppose g*z - 3*y = -5*y + 62, 4*z = 2*y + 58. What is the units digit of z?
5
Let a = 4 + -4. Suppose -4*g - r - 1 = a, 0 = -3*g + 8*g + r. What is the units digit of 10/(g/(-3) - -1)?
5
What is the units digit of (-8)/(-28) + 5638/14?
3
Let b be 3 - (3 - 4 - -9). What is the tens digit of 3/((b/1)/(-80))?
4
Let r be 65/39 + 1/3. Let d(s) = 6*s - 9*s**2 - 1 + 5 + s**3 + r*s**2. What is the tens digit of d(7)?
4
Suppose -10 = 5*z, 5*p + 2*z - 14 = -48. Let t = 15 - p. Let l = -18 + t. What is the units digit of l?
3
Let s be (-12)/(-18) - (-391)/3. Let r = s - 61. What is the tens digit of r?
7
Suppose -d + 2*d + 12 = 0. Let v = d + 76. Suppose -4*r + 41 = 2*w - 5*r, -4*r = 4*w - v. What is the tens digit of w?
1
Let o = -432 + 1243. What is the tens digit of o?
1
Suppose 1032 = 3*k - 954. What is the hundreds digit of k?
6
Let v(x) = 9*x**2 + 4*x + 6. Let s be v(4). Suppose -s = -4*i + 126. What is the tens digit of i?
7
Let t(v) = v**3 + 13*v**2 - 13*v + 15. Let m be t(-14). Let f be (-1 + -3 - -1)*m. What is the units digit of (f/15)/(2/(-10))?
1
Let k = -57 - -54. Let x(g) = 10*g**2 + 10*g + 10. What is the units digit of x(k)?
0
Let b(i) = 1245*i**2 + 5*i - 8. What is the units digit of b(1)?
2
Let i = -14 - -12. Let v(s) = -s + 1. Let g be v(i). Suppose 5*m = -4*z + 80, 4*z - 80 = 2*m + g*m. What is the tens digit of z?
2
Let h = 236 + -38. Suppose 3*m - 3*o = h, 4*m = 2*o - 7*o + 228. What is the tens digit of m?
6
Let b(n) = 4*n - 1. Let x be b(-2). Let m = x - -7. What is the units digit of 1/m - (-31)/2?
5
Suppose f = 3*j + 180, 5*j - 1 = -f + 163. What is the tens digit of f?
7
What is the units digit of -10*(3 - 376/20)?
8
Let y = 9 + -20. Suppose -x - 4*l = -36, 1 = 3*l - 14. Let v = y + x. What is the units digit of v?
5
Let v = 290 - -1307. What is the tens digit of v?
9
Suppose -4*f + 2*t + 118 = 0, 10 = -3*t + 5*t. Suppose -f = -3*s - 4*g, -4 = -2*s + 3*g + 6. What is the units digit of s?
8
Suppose 0 = -k - 9 - 14. Let t = -19 - k. Let j(i) = i**3 - 3*i**2 - 2*i - 2. What is the units digit of j(t)?
6
Let n be -4*3/(-4)*1. Let a = n + 1. Suppose k - a*k + 186 = 0. What is the units digit of k?
2
Let d = -400 + 805. Let t = 584 - d. What is the units digit of t?
9
Suppose -w - w = 36. Let h = -13 - w. Suppose 0*t + h = t. What is the units digit of t?
5
Let r be (-2)/(1 + (-81)/78). Suppose -2*g + 5*p - 26 = -3*g, -p = -5*g + r. Let f = -2 + g. What is the units digit of f?
9
Let i(x) = 67*x**2 - 11*x. What is the tens digit of i(5)?
2
Let c = -25 + 35. Let z = 19 - c. Let g(p) = -p**3 + 10*p**2 - 7*p + 15. What is the tens digit of g(z)?
3
Suppose -2*h = 3*i + 2*i + 75, -i = 3. Let z be h/(-9) + 4/6. Suppose 0 = 2*u + z*g - 14, -16 - 9 = 5*g. What is the units digit of u?
7
Suppose -15 = -11*f + 8*f. What is the hundreds digit of (f*(-24)/(-1) - 2) + 4?
1
Suppose -10*a = -20370 - 4970. What is the tens digit of a?
3
Let w(i) = -i**3 + 12*i**2 - 6*i - 1. What is the units digit of w(11)?
4
Suppose 0 = 6*s - 14416 - 3524. What is the units digit of s?
0
Suppose 116*m = 102*m + 39018. What is the units digit of m?
7
Let h be (0 + 1)/((-3)/15). Let z(b) = 3*b - 3. Let v be z(h). Let o = 37 + v. What is the units digit of o?
9
Let o(a) = -1372*a - 13. What is the units digit of o(-1)?
9
Suppose 0 = 6*o + 7*o - 13. What is the units digit of 64/(o/10*4)?
0
Let j be (-5)/15 + 1/3. Suppose -2*g - 2*o = 0, -3*g + 4*o + 2 + 5 = j. What is the units digit of g?
1
What is the tens digit of 4486/(-1)*(150/(-20))/15?
4
Let k = -401 - -764. What is the tens digit of k?
6
What is the tens digit of 4*(2 - (-1878)/3)?
1
Let h(b) be the third derivative of b**5/40 + b**4/8 + b**3/3 - | {
"pile_set_name": "DM Mathematics"
} |
**6 - 1/42*k**7 + 0*k**4 - 2/3*k**3 + 0. Differentiate b(q) with respect to q.
-20*q**3
Let a(t) = 25*t**4 - 13*t**2 + 17*t + 13. Let o(s) = 12*s**4 - 6*s**2 + 8*s + 6. Let m(v) = -6*a(v) + 13*o(v). Find the second derivative of m(u) wrt u.
72*u**2
Let d(y) be the first derivative of -y**3 - 3*y**2 + 7*y - 9. Let c(j) be the first derivative of d(j). Differentiate c(k) wrt k.
-6
Find the second derivative of -x - 3*x**5 + 11*x**5 - 9*x**5 wrt x.
-20*x**3
Suppose -4*b - 17 + 41 = 0. Let l(d) = -d**3 + d**2 + d + 2. Let x be l(0). What is the third derivative of -x*h**2 - h**6 + 2*h**b + 0*h**2 wrt h?
120*h**3
Let r(j) be the first derivative of -j**3 + 20*j - 3. Differentiate r(w) with respect to w.
-6*w
Let d(u) = -u**3 + 4*u - 2 + 2*u**3 + 3*u**4 - u**3 + 4*u**2. Let n(k) = -k**2 - k. Let f(r) = -d(r) - 4*n(r). What is the derivative of f(m) wrt m?
-12*m**3
Let r(o) be the second derivative of -5*o**9/504 + o**5/15 + o**2 + 3*o. Let m(j) be the first derivative of r(j). Find the third derivative of m(v) wrt v.
-600*v**3
Let i(y) be the second derivative of y**6/120 + y**4/8 - 3*y**2/2 + 2*y. Let v(u) be the first derivative of i(u). Find the second derivative of v(b) wrt b.
6*b
Let c(j) be the first derivative of -j**3/3 + j**2/2 + j - 3. Let q(g) be the first derivative of c(g). Differentiate q(v) wrt v.
-2
Let r(g) be the first derivative of g + 3 + 2/3*g**3 + 0*g**2. What is the first derivative of r(j) wrt j?
4*j
Let r(x) = -x**3 + x**2 + x + 1. Let m(n) = -33*n**3 - 3*n**2 - 2*n - 2. Let p(y) = -m(y) - 2*r(y). Find the third derivative of p(b) wrt b.
210
Let g(p) = -6*p**3 - 14*p**2. Let c be 1 + (0 - (3 + -1)). Let v(k) = -k**3 - k**2. Let f(r) = c*g(r) + 12*v(r). What is the third derivative of f(i) wrt i?
-36
Find the second derivative of 8*u + 32*u**3 - 9*u**3 - 14*u**3 wrt u.
54*u
Let y(a) = -a**3 + 5*a**2 - 11*a + 5. Let v(d) = d**3 - 3*d**2 + 5*d - 3. Let n(k) = 5*v(k) + 3*y(k). What is the second derivative of n(u) wrt u?
12*u
Let l be 2/6*3*-5. Let p(u) = u**3 - 4*u**2. Let k(f) = 5*f**2 - f. Let y(z) = l*p(z) - 4*k(z). What is the second derivative of y(n) wrt n?
-30*n
Suppose h - 6 = -2*x, 4*h - 1 = -5*x + 11. Let y(b) = b - 1. Let n(a) = 4*a**3 - 3*a + 4. Let j(o) = x*y(o) + n(o). Find the second derivative of j(u) wrt u.
24*u
Let w = 1 + 0. Suppose 0 = 2*p - 5 + w. What is the second derivative of -3*x**3 - p*x + 0*x**2 + 0*x**2 wrt x?
-18*x
Let i(m) = -12*m**4 + 4*m**2 - 16. Let p(y) = 35*y**4 - 11*y**2 + 47. Let o(f) = 11*i(f) + 4*p(f). Find the first derivative of o(u) wrt u.
32*u**3
Let m(o) = o - 19. Let v be m(24). Let z(x) be the first derivative of 0*x**3 - 1 + 0*x**2 + 3/5*x**v - 3*x + 0*x**4. Differentiate z(i) wrt i.
12*i**3
Suppose -2*n = n - 12. Find the first derivative of 9*k + 3 + 1 + n - k wrt k.
8
Find the third derivative of -2*c**4 - 5*c**4 - 3*c**4 - 11*c**2 wrt c.
-240*c
Let d be -1*(-4 - (-3 - 0)). Find the second derivative of 1 - d - 3*c + 8*c**4 - 9*c**4 wrt c.
-12*c**2
Let k(u) be the third derivative of -u**7/105 - u**4/6 + 5*u**2. Find the second derivative of k(o) wrt o.
-24*o**2
Let q(d) be the second derivative of -4*d**6/5 + 6*d**2 + 30*d. What is the derivative of q(h) wrt h?
-96*h**3
Let h(r) be the second derivative of 3*r**5/5 - 5*r**3/6 - 3*r. Find the second derivative of h(i) wrt i.
72*i
Let k(u) be the third derivative of 1/40*u**6 + 0*u**4 + 0*u + 0*u**3 + 0 + 5*u**2 - 1/30*u**5. Find the third derivative of k(o) wrt o.
18
Let m(n) = -n + 7. Let q be m(5). Find the third derivative of 3*o**2 + 0*o**2 + 2 - 2 + q*o**4 wrt o.
48*o
Let b(d) be the first derivative of -2*d + 0*d**4 + 0*d**3 + 0*d**2 + 3 - 1/5*d**5. What is the derivative of b(n) wrt n?
-4*n**3
Let b(n) be the third derivative of -n**5/12 - n**4/24 - n**2. What is the second derivative of b(z) wrt z?
-10
Let w(i) be the second derivative of -i**8/1344 + i**5/120 + i**4/4 - 3*i. Let t(z) be the third derivative of w(z). Differentiate t(h) wrt h.
-15*h**2
Let z(c) be the second derivative of 17*c**7/42 + 17*c**3/6 - c. Find the second derivative of z(k) wrt k.
340*k**3
Differentiate -3 + 2 + 9*i**2 - 17*i**2 with respect to i.
-16*i
Find the third derivative of -3026*o + 3026*o - 23*o**4 + 6*o**2 wrt o.
-552*o
Find the first derivative of -2 + 9 - 11*m + 0*m + 2 wrt m.
-11
Suppose -f = -4*f. Suppose -5*v + 3*v + 1 = -3*t, f = -v + 2*t. What is the third derivative of v*l**3 - 6*l**3 - 2*l**2 + 2*l**3 wrt l?
-12
Let m(b) be the first derivative of 0*b + 2/5*b**5 + 0*b**4 - 4/3*b**3 + 0*b**2 + 2. What is the third derivative of m(t) wrt t?
48*t
Let h(i) be the third derivative of -i**6/24 - 3*i**4/8 + 12*i**2. Find the second derivative of h(v) wrt v.
-30*v
Let y = 7 + -10. Let o(w) = -w + 1. Let d(v) = 3*v**2 + 3*v - 6. Let p(t) = y*o(t) - d(t). What is the derivative of p(u) wrt u?
-6*u
Differentiate -2*d**4 - 9 - 4*d**4 - d**4 wrt d.
-28*d**3
Let w(t) be the first derivative of -17*t**6/6 + 14*t**3/3 + 5. What is the third derivative of w(m) wrt m?
-1020*m**2
Let m be (-3)/(-1)*(1 + 0). Find the second derivative of l - 2*l**3 - 4*l - l**m + 4*l wrt l.
-18*l
Suppose 0 = 3*j + 2*w - w - 11, 3*w - 13 = -4*j. Differentiate 6*t**j - 6 + 1 + 3*t**4 wrt t.
36*t**3
Let s(j) be the second derivative of 0 + 1/12*j**4 - 2*j + 3/2*j**2 + 0*j**3. Differentiate s(n) wrt n.
2*n
Find the first derivative of 5*q**4 + q**4 - q**4 + 4*q**4 - 1 wrt q.
36*q**3
What is the third derivative of 3*i**5 + 2*i**5 - 4*i**2 - 19*i**5 + 11*i**2 wrt i?
-840*i**2
Let w = -17 + 20. Find the second derivative of -a + 3*a + 4*a + w*a**2 wrt a.
6
Let h(l) = 2*l**3 - 7*l**2 - 7*l + 9. Let c(y) = y**2 + y - 1. Let o = -20 - -17. Let v(u) = o*h(u) - 21*c(u). What is the derivative of v(n) wrt n?
-18*n**2
Let m(w) be the first derivative of w**3/2 + w**2 - 3*w + 1. Let r(k) be the first derivative of m(k). Differentiate r(p) with respect to p.
3
Differentiate -2*g**4 - 3*g**4 - 8 + 20 - 17 with respect to g.
-20*g**3
Suppose 0 = -2*b - p + 9, -5*p = 3*b - 3*p - 14. Find the first derivative of -9 + 18 - s**b - s**4 wrt s.
-8*s**3
Find the second derivative of -13*r**3 - 2*r**2 - 4*r**3 + 10*r + 2*r**2 wrt r.
-102*r
Let z be 0/5 + (-4)/(-2). Let k(q) be the first derivative of -4*q + q - q**2 + q**3 - 2 + q**z. What is the first derivative of k(n) wrt n?
6*n
Let y(f) be the second derivative of -11*f**5/20 + f**4/2 - 7*f. Find the third derivative of y(w) wrt w.
-66
Find the third derivative of -77*i**4 + 144*i**4 - 72*i**4 + 26*i**2 wrt i.
-120*i
Suppose -4*a = -9*a. Let k(v) be the first derivative of a*v**2 + v**2 + 1 + 0 + v. Differentiate k(t) with respect to t.
2
Let i(a) = -40*a**2 + 7*a. Let o(u) = -80*u**2 + 14*u. Let b(z) = 7*i(z) - 3*o(z). What is the second derivative of b(v) wrt v?
-80
Let i(x) be the second derivative of 0 + 2*x + 1/6*x**4 + 0*x**3 + 1/2*x**2. What is the derivative of i(g) wrt g?
4*g
What is the third derivative of 7*p**6 + 66*p**2 - 43*p**2 - 64*p**2 wrt p?
840*p**3
Let r(z) be the second derivative of -z**3/6 + z**2/2 - 4*z. Let u(s) = -2*s - s + 2 + 2*s. Let t(c) = -3*r(c) + 2*u(c). What is the derivative of t(x) wrt x?
1
What is the third derivative of -3*t**2 - 12*t**2 + 0*t**2 - 18*t**3 wrt t?
-108
Let p(o) = -7*o**3 - 2*o + 2. Let v be (-3)/9*6/1. Let c(r) = -8*r**3 - 3*r + 1. Let g(t) = v*c(t) + 3*p(t). Find the first derivative of g(l) wrt l.
-15*l**2
Let m be (-82)/(-10) - 3/15. Differentiate -m - 4*j + 5*j + 7 with respect to j.
1
Find the third derivative of -6*i**2 + 8*i**6 + 4*i**2 + 6*i**2 wrt i.
960*i**3
Let d(k) = -10*k**2 + 3*k - 8. Let g(l) = -19*l**2 + 5*l - 16. Let w(u) = -5*d(u) + 3*g(u). Find the first derivative of w(c) wrt c.
-14*c
Differentiate 4*k**3 + 4*k**3 + 5 - 2*k**3 - k**3 with respect to k.
15*k**2
Find the second derivative of -217 - r**3 + r - 3*r**3 + 217 wrt r.
-24*r
Let j(k) be the first derivative of -k**2/2 + k + 2. What is the derivative of j(q) wrt q?
-1
Let l(u) be the third derivative of -3*u**5/20 + u**4/4 - u**2. Find the second derivative of l(q) wrt q.
-18
Suppose -5*b = -6*b. Let q(u) be the first derivative of -2/3*u**3 + 1/2*u**4 + 0*u**2 - 2 + b*u. Find the third derivative of q(w) wrt w.
12
Let f(b) = b**3 + 5*b**2 + 5*b + 4. Let z be f(-5). Let g = -15 - z. What is the th | {
"pile_set_name": "DM Mathematics"
} |
(-2)/(-7). Which is bigger: f or i?
i
Let k = 5 + 0. Suppose 4*v - 28 = 4*a, -k*v = -0*a - 2*a - 23. Let u be (-2)/3 - 1/v. Is -1/7 > u?
True
Let p = -112 + 104. Which is smaller: 2 or p?
p
Suppose -5*p - 2*b = -3, 2*b - 2 = 3*p + 9. Are p and 1/56 equal?
False
Let h = -32 - -49. Is h less than or equal to 15?
False
Let g be (-2 - -1)/(1/3). Let m = -30 - -26. Which is smaller: m or g?
m
Let s be (-2)/(-6) + 3/(-18). Are s and -0.2 unequal?
True
Let k be 0*3/(-18)*-2. Suppose 2*a + 5*g = -a + 3, k = g. Is -1/8 smaller than a?
True
Let u = -12935/27 + 479. Is 0.1 less than u?
False
Let t(j) = -j**2 - 5*j + 10. Let c be t(-11). Which is greater: -55 or c?
-55
Let o be (30/8)/((-6)/(-32)). Suppose -3*i - 5*q = 16 - 2, -o = 5*q. Is i at least as big as 3?
False
Let k = -83.61 - -83. Let d = k - -0.01. Let r = 0.7 + d. Are -1/5 and r equal?
False
Let a = -371/3 - -397/3. Let g = -28/3 + a. Which is smaller: g or -2?
-2
Suppose 30 = -8*k - 7*k. Which is bigger: 28 or k?
28
Suppose t + 15 = 13. Are 5/4 and t equal?
False
Let c = 1/104 + 191/1768. Is 1 greater than c?
True
Let x = 5 + -7. Let b be (-1 + -1)*1/x. Suppose -2*s - u = -6, 1 = 4*s - 5*u + 3. Which is smaller: b or s?
b
Let y = 1/1981 - 23789/33677. Is 0 > y?
True
Let r(k) = 3*k - 27. Let u(q) = q - 9. Let f(x) = -3*r(x) + 8*u(x). Let d be f(10). Which is greater: 3 or d?
3
Let t = -3.15 + -0.45. Let z = t + 0.6. Let j = z - -5. Which is smaller: -2 or j?
-2
Let u = 1 + -4. Let l be 15/(-9)*-3 + u. Which is bigger: 4/3 or l?
l
Let d be 1/(-6)*-344 - 1. Let v = d + -55. Is v at most as big as 1?
False
Let s = -68 + 107. Let w be 22/s + (-3)/9. Is w greater than or equal to 0?
True
Suppose -3*m + 6 = -0. Let d = 3.2 + -3. Is m less than d?
False
Let n be (-4)/(-30)*3 + 528/(-1270). Which is smaller: 0 or n?
n
Suppose -j - 23 = -s - 6*j, 3 = -3*s + 3*j. Suppose -s*a + 3 = -12. Suppose -3*m - 14 - 17 = -4*h, 27 = 3*h - 3*m. Are a and h equal?
False
Let l = 23/286 + 132349/858. Suppose 2*d = -382 + 70. Let y = l + d. Is y greater than -2?
True
Let x(i) = -i**2 + 9. Let f be x(0). Let m be -1 + (12/f)/1. Which is bigger: -7 or m?
m
Let c(i) = 6*i + 13. Let l be c(-4). Is l greater than -12?
True
Let r(x) = -6*x**2 - 1. Let z be r(-1). Let b = 7 + z. Which is smaller: b or -2/47?
-2/47
Let m(h) = h**2 + 11*h - 14. Let z be m(-12). Are z and -2 unequal?
False
Let g = -4 - -7. Suppose -r - 4*w - 1 - 1 = 0, -w - 6 = g*r. Are r and -3/5 equal?
False
Let g = -146/29 + 5. Which is smaller: 0 or g?
g
Let u(v) = v + 1. Let l be (-1)/(-1 - (2 - 2)). Let i be u(l). Let h = -34 - -141/4. Which is smaller: h or i?
h
Let l be 8/(-10) - (-5)/(-25). Is -4/5 <= l?
False
Let u(z) = z. Let h be (-5)/10*-2*2. Suppose -3*x = -x + h. Let l be u(x). Do 0 and l have different values?
True
Let x be -2 - (-3 - (-3)/3). Suppose x = q - 2*q - 2. Is -2 greater than q?
False
Let s be (1 - 0)*(4 + -1). Suppose -1 = s*f - 4. Which is bigger: f or -0.2?
f
Let n be (6/2 - 1) + 2. Let m = 2 - n. Which is bigger: m or -4?
m
Let d = -28 - -29. Which is greater: -59 or d?
d
Suppose 0 = -0*f - 3*f + 18. Suppose y - 3*y = -f. Is 3 at most as big as y?
True
Let f be (7/(-28))/((-7)/(-2224)). Let s = f + 79. Which is bigger: s or 1?
1
Suppose -3*g - m + 2*m + 1372 = 0, 0 = -5*g + 2*m + 2288. Suppose -2*s + 155 = d - 0*s, 3*s - g = -3*d. Let h = d + -1343/9. Is h less than or equal to 1?
True
Let t(j) = 4*j + 2. Let l be t(-3). Let f be (-14)/l + 12/(-30). Let r = f + -3. Which is smaller: r or -1?
r
Suppose 0*r = 3*v + 5*r + 3, 13 = v - 3*r. Let s = -4 + v. Suppose 4*a - 2*a + 2 = s. Is a bigger than 0?
False
Let l = 2 - 0. Let q be 1*(-2)/(l + 0). Let j be (-3)/6 + (3 - 265/110). Which is bigger: q or j?
j
Let d(g) = -g**2 - 5*g - 5. Let k be d(-4). Suppose 2*b - 1 - 13 = 0. Is k less than b?
True
Suppose -3*v = 5*t - 0*t - 35, 4*v + 2*t - 28 = 0. Suppose -10 = 5*z + v. Let s(w) = -w - 2. Let g be s(2). Are g and z equal?
False
Let l = -418 - -421.98. Let b = -0.02 - l. Let g = -3.9 - b. Which is smaller: g or 2/7?
g
Let l be (-1)/(6/2 + -2). Let u = 127/105 + -8/7. Let f = u - 2/5. Is l != f?
True
Let i be (-9)/(3/(-1)) + -2. Let n = 9 + i. Let q(g) = -g**2 + 9*g + 9. Let z be q(n). Is -2 less than z?
True
Let x be (-2)/(2*-1) - 26. Let h be 10/x + (-74)/(-10). Let l = -29 + 35. Which is bigger: h or l?
h
Let g(u) = -5*u - 7. Let w(r) = -26*r - 36. Let j(o) = 11*g(o) - 2*w(o). Let i be j(-2). Which is smaller: i or 2?
i
Let j be (1/3*3)/1. Is 1/73 at most as big as j?
True
Let a(c) = 19*c + 3. Let y be a(-1). Is -16 <= y?
True
Suppose -22*h + 25*h = 3. Are 4/7 and h nonequal?
True
Let k be 2 + (-22)/2 + 3. Is k at least as big as -4?
False
Let k be (-48)/(-21) + (-2)/7. Which is smaller: k or 3?
k
Let v(z) = -23*z + 1. Suppose s + h + 2*h = 5, -4*s = -5*h + 14. Let i be v(s). Let b be (32/i)/((-2)/(-3)). Which is smaller: 4/7 or b?
4/7
Suppose -5*v + 120 = v. Which is greater: v or -0.2?
v
Let q(z) = -z**2 - 2*z + 2. Let v be q(-3). Let u = 199/20 + -39/4. Which is greater: u or v?
u
Let v = -35 + 40. Is 7 at least as big as v?
True
Let p be (-10 + 9)*4/14. Are 0.11 and p equal?
False
Let s = -1.04 - -0.04. Which is bigger: s or -3?
s
Let w = -1 + 2. Let k = -1 + -8. Let g be 1/(3/k) + 3. Which is greater: w or g?
w
Let s = -8 - -8. Suppose 2*y - 8 = -s. Let q be (y/(-5))/(2/(-15)). Does 6 = q?
True
Let p = 0.4 + -0.5. Let i(w) = -w**2 + 12*w. Let l be i(12). Is l smaller than p?
False
Let a = -4389523/312 - -14069. Let i = -26797/2184 - a. Let o = -12 - i. Do -1 and o have the same value?
False
Let q = -19 + 24. Let u be 1*-3*4/(-6). Suppose -d + 3*f = 13, -q*d - 23 = -u*d - 5*f. Is d equal to -2?
False
Suppose p + 4 = 0, -5*b - 22 = -2*b + 4*p. Suppose j + 0*j = 0. Suppose j = -3*m - z, -4*z - z + 17 = -2*m. Is b > m?
False
Suppose -4*z - 10 = 14. Let g = 13 - 15. Is z less than g?
True
Let z = -45 - -26. Is z != -17?
True
Let h(x) = -x**3 + 5*x**2 + 7*x - 5. Let r be h(6). Let c(z) = 3*z + 1. Let v be c(r). Suppose v + 4 = 4*j. Are j and 2/3 equal?
False
Let p = -15 - -7. Let t = 7 + p. Is 2/7 bigger than t?
True
Suppose u + b + 7 = -u, -2*u + 5 = 5*b. Is -12 smaller than u?
True
Let v(w) = -w**3 + 4*w**2 - 5*w + 3. Let k be v(3). Let o be k/6*2 - -1. Let n = 5 + -16/3. Is n < o?
True
Let a = -56 - -23. Which is greater: a or 1?
1
Suppose 2*n = -3*b + 22, 3*b = -2*n - n + 24. Which is bigger: 5 or b?
b
Let l(u) = u**3 + 3*u**2 - 4*u - 4. Let w be l(-3). Let c = -6 + 8. Suppose -3*r + k + 19 = 0, 2*k + c - 34 = -4*r. Is w less than or equal to r?
False
Suppose 4*t = -t + 5. Let d(n) = -n**2 + 9*n - 9. Let h be d(8). Is t at least as big as h?
True
Let f be 3*(-3 - (-4 - 0)). Which is smaller: 18/11 or f?
18/11
Let f be (-16)/(-44)*(-2)/4. Suppose -5*j = -0*j - 10. Let x(s) = s**2 - 2*s + 1. Let n be x(j). Is n equal to f?
False
Let a(q) = q**3. Let u be a(-1). Let v be (-57)/9 + 12/3. Which is smaller: u or v?
v
Suppose -4*u = 4, -2*o + 3*o - 3*u = 5. Let t(x) = -o - 2*x + 3*x - 4. Let b be t(6). Are 0.1 and b unequal?
True
Suppose 2*y - x = -788, 5*y - 5*x + 1864 = -111. Let l be y/(-9)*6/112. Let s = -21/8 + l. Which is bigger: s or -2?
s
Suppose -2 + 3 = -q. Which is greater: -8/13 or q?
-8/13
Suppose -3*n - 7 + 13 = 0. Which is smaller: 1 or n?
1
Let t = 29 - 30. Let r = 47/36 - 7/4. Is r bigger than t?
True
Let g = -1/58 + 119/174. Let k be 28/12 - (1 + 2). Is k != g?
True
Suppose 3*f = -3*h - 0*f, -16 = -4*h + 4*f. Suppose 4*a + 40 = h*t, 4*t + 0*a + 4*a - 80 = 0. Is 21 greater than or equal to t?
True
Let p be (2/(-357))/(14/(-42)). Do 1 and p have the same value?
False
Let b(z) = 4*z**2 - 4*z + 1 + 5*z - 3*z**2 + z. Let j(t) = -t + 4. Let s be j(6). Let w be b(s). Is w < 1?
False
Let o = 1 + -5. Which is smaller: o or -2/11?
o
Suppose 4*z - 20 = -z. Suppose 0 = 3*g - 0*g - 9. Which is smaller: z or g?
g
Let t = 24 - 26. Which is smaller: t or -6?
-6
Let n = -93/7 + -443/91. Let m = n + 18. Is 1 at most as big as m?
False
Let l be -2 - (-6 - -2)*-1. Let z be (0 + l)*14/21. Let o be (z/(-2) - 2)/1. Which is smaller: o or -1/3?
-1/3
Let z be (-10)/(-35) - 144/14. Let v be (72/(-231))/(z/35). Is 0 at most v?
True
Suppose 0 = -10*a + 3*a. Is 2/43 smaller than a?
False
Let l = 9 + -8.7. Let b = 0.1 + 0.2. Let z = l - b. Does 1 | {
"pile_set_name": "DM Mathematics"
} |
What is prob of sequence pn?
1/3
Four letters picked without replacement from {g: 11, b: 1, k: 2}. What is prob of sequence gkkg?
5/546
What is prob of sequence pqp when three letters picked without replacement from qpqpqqqppqpqqqqppqq?
28/323
Calculate prob of sequence no when two letters picked without replacement from diniinoexoen.
1/22
Calculate prob of sequence jjrr when four letters picked without replacement from rwqrjrwrqjjr.
1/99
What is prob of sequence amua when four letters picked without replacement from {m: 8, a: 2, s: 1, u: 5}?
1/546
Calculate prob of sequence mo when two letters picked without replacement from omomommommomommmmm.
4/17
Two letters picked without replacement from wucutttttctwgccw. Give prob of sequence uw.
1/40
Two letters picked without replacement from ssmmggmhsgmssms. Give prob of sequence gg.
1/35
What is prob of sequence ffl when three letters picked without replacement from {l: 3, f: 2}?
1/10
Calculate prob of sequence suv when three letters picked without replacement from {v: 2, s: 5, u: 8}.
8/273
What is prob of sequence hhi when three letters picked without replacement from {h: 3, i: 4}?
4/35
Two letters picked without replacement from {k: 8, j: 2, i: 5}. Give prob of sequence jj.
1/105
Four letters picked without replacement from {f: 9, g: 7, e: 3}. What is prob of sequence fgeg?
63/5168
Two letters picked without replacement from ydyrdrtryyc. Give prob of sequence rt.
3/110
Calculate prob of sequence kxt when three letters picked without replacement from {t: 2, x: 7, k: 9}.
7/272
Calculate prob of sequence ugt when three letters picked without replacement from gvguutssugguvs.
2/273
Calculate prob of sequence hi when two letters picked without replacement from hihhhihiih.
4/15
Calculate prob of sequence zfr when three letters picked without replacement from {z: 2, r: 2, f: 6, c: 2}.
1/55
What is prob of sequence do when two letters picked without replacement from odoodddododyoyydodd?
7/38
What is prob of sequence rqr when three letters picked without replacement from qqrarqrqq?
5/84
Four letters picked without replacement from pcccopcppptbtpcp. What is prob of sequence bptt?
1/3120
What is prob of sequence tdx when three letters picked without replacement from tdtiiix?
1/105
Four letters picked without replacement from hehblzpe. What is prob of sequence eplh?
1/420
Calculate prob of sequence gvwv when four letters picked without replacement from {x: 2, v: 2, g: 1, w: 1, q: 2}.
1/840
What is prob of sequence trs when three letters picked without replacement from {s: 1, i: 3, o: 2, k: 2, t: 6, r: 1}?
1/455
Two letters picked without replacement from kii. What is prob of sequence ki?
1/3
Three letters picked without replacement from qmefoefxxxemxo. Give prob of sequence eqq.
0
Calculate prob of sequence ww when two letters picked without replacement from {w: 4}.
1
Three letters picked without replacement from rrrbrvbrrrvrbbvbv. Give prob of sequence rvr.
14/255
Three letters picked without replacement from yykykyykskk. Give prob of sequence yys.
2/99
What is prob of sequence ooo when three letters picked without replacement from ogooog?
1/5
What is prob of sequence iii when three letters picked without replacement from iiiiiiiiii?
1
Two letters picked without replacement from {v: 1, b: 4, u: 3, p: 6}. What is prob of sequence bb?
6/91
Four letters picked without replacement from {f: 4, e: 3, a: 1, p: 4, n: 2, r: 3}. What is prob of sequence ranr?
1/4760
Calculate prob of sequence hrh when three letters picked without replacement from {r: 1, h: 2, f: 1, d: 1}.
1/30
Three letters picked without replacement from {o: 1, w: 1, c: 1}. What is prob of sequence wco?
1/6
Four letters picked without replacement from eowweohdeoodedood. What is prob of sequence woho?
1/952
Three letters picked without replacement from {q: 3, a: 1, o: 1}. What is prob of sequence qaq?
1/10
Two letters picked without replacement from gkgkkukkkpgkukgugxg. What is prob of sequence gu?
1/19
What is prob of sequence jaqq when four letters picked without replacement from jdjjqqaqdadqqqdqq?
1/170
Two letters picked without replacement from {e: 16, k: 2}. Give prob of sequence kk.
1/153
Calculate prob of sequence yk when two letters picked without replacement from {k: 3, y: 11}.
33/182
Two letters picked without replacement from {x: 1, d: 1, n: 1, r: 1, g: 2, o: 1}. What is prob of sequence do?
1/42
Three letters picked without replacement from zztttzz. Give prob of sequence ztz.
6/35
Two letters picked without replacement from {q: 3, y: 6, n: 2, c: 5, j: 2}. Give prob of sequence nn.
1/153
What is prob of sequence dbdd when four letters picked without replacement from bdbbbbdbbb?
0
Four letters picked without replacement from {v: 1, x: 3}. Give prob of sequence xvxx.
1/4
What is prob of sequence cc when two letters picked without replacement from ccczccczsraccacaacr?
5/19
Two letters picked without replacement from uny. Give prob of sequence yu.
1/6
Three letters picked without replacement from {m: 2, c: 3}. What is prob of sequence mmc?
1/10
Calculate prob of sequence yvh when three letters picked without replacement from {v: 7, h: 4, d: 1, n: 2, y: 3}.
7/340
What is prob of sequence dxn when three letters picked without replacement from jdqdjdndxjjqddq?
1/455
Three letters picked without replacement from {d: 11, n: 2}. What is prob of sequence dnd?
5/39
What is prob of sequence qquq when four letters picked without replacement from {u: 1, q: 12}?
1/13
What is prob of sequence tt when two letters picked without replacement from {f: 1, w: 12, t: 3}?
1/40
What is prob of sequence hbb when three letters picked without replacement from {v: 9, h: 1, e: 1, b: 4}?
2/455
What is prob of sequence ee when two letters picked without replacement from {e: 5, v: 5}?
2/9
Calculate prob of sequence hh when two letters picked without replacement from nnhzznhnznnhznhzznhz.
1/19
Four letters picked without replacement from {v: 2, e: 8, q: 2, i: 7}. What is prob of sequence qiee?
49/5814
Three letters picked without replacement from cwwsngnzg. What is prob of sequence gzz?
0
Three letters picked without replacement from yzyzyzyzyy. Give prob of sequence yyz.
1/6
Calculate prob of sequence ww when two letters picked without replacement from pprrmrwrwpe.
1/55
Four letters picked without replacement from onffnvca. What is prob of sequence vcaf?
1/840
Calculate prob of sequence bbbb when four letters picked without replacement from ybyyyybbyb.
1/210
Two letters picked without replacement from hbaahbahhahb. What is prob of sequence ah?
5/33
What is prob of sequence wc when two letters picked without replacement from dcccccccccwcwd?
10/91
Two letters picked without replacement from {m: 7, i: 1, b: 5, x: 1, d: 1}. What is prob of sequence xm?
1/30
Three letters picked without replacement from {o: 2, a: 2, q: 1, d: 1, r: 2}. What is prob of sequence qaa?
1/168
Calculate prob of sequence ggvg when four letters picked without replacement from vvvvgggvvvvgvvvvvvv.
5/1292
Two letters picked without replacement from rraassas. Give prob of sequence sa.
9/56
Calculate prob of sequence qxn when three letters picked without replacement from nxqqqxnnqqod.
1/44
Three letters picked without replacement from aykkykay. Give prob of sequence ykk.
3/56
Two letters picked without replacement from {s: 1, n: 1, k: 3, y: 1, p: 6}. What is prob of sequence ys?
1/132
Calculate prob of sequence taa when three letters picked without replacement from akakakta.
1/28
What is prob of sequence kak when three letters picked without replacement from aakkkkkkkakkkkkkkk?
35/272
Calculate prob of sequence clcl when four letters picked without replacement from llllccclllcllllc.
55/1092
Two letters picked without replacement from wwbwwwwbw. What is prob of sequence bb?
1/36
What is prob of sequence dgd when three letters picked without replacement from {j: 6, d: 3, g: 2, f: 6, l: 1}?
1/408
What is prob of sequence uwku when four letters picked without replacement from nkuquknqwqqunn?
1/2002
Calculate prob of sequence gm when two letters picked without replacement from nmggxgnssgnggos.
1/35
Three letters picked without replacement from ggded. What is prob of sequence gde?
1/15
Two letters picked with | {
"pile_set_name": "DM Mathematics"
} |
3 + 14*w**2 - 13*w + 5. Let b be o(13). Suppose i - 5*c = 4, 5*i = -3*c + 6*c + 42. Suppose -6 = -b*j + i. Solve -s + 10 = -j*s for s.
-5
Let b be 4/(-26) + (-4)/(-26). Let z = 3 - -3. Let t be (b - (z - 3))*-1. Solve 2*u = u - t for u.
-3
Let z be 2/(-11) - (-2)/11. Let m be 1 - (1 - (1 - z)). Solve g + m = -3 for g.
-4
Let g(z) = -z**3 + 46*z**2 + 44*z + 149. Let s be g(47). Solve 0 = s*d + 14 + 10 for d.
-3
Suppose 10*r + 143 - 143 = 0. Solve r = 2*p + 14 - 16 for p.
1
Let p = 31 - 31. Let s be (p*(0 - -1))/(-3). Solve s*o + 2*o - 10 = 0 for o.
5
Suppose -54*j + 786 = -24. Solve 4*v + v = -j for v.
-3
Let w(i) be the second derivative of i**3 + 71*i**2/2 + 12*i + 1. Let f be w(-11). Solve -k - 1 + f = 0 for k.
4
Suppose 20 = 5*y, -n + 21 = -0*n + 3*y. Let o = n - 11. Let q = 6 - o. Solve -2*d - q = -4*d for d.
4
Let t(f) = -2*f**2 - 385*f + 6. Let o be t(0). Let j = -7 + 19. Suppose 0 = 2*y + 2*y - j. Solve 3 - o = -y*k for k.
1
Suppose -g + 3*q = -27, -2*q - 42 - 28 = -5*g. Solve -4*d + 7*d + g = 0 for d.
-4
Let t = -13 + 16. Suppose 2*a + 2*p = 46, -3*a + 39 + 30 = -t*p. Let q = a + -18. Solve -3*k + 7 = -q for k.
4
Let t be (1*10)/(1*(-10)/55). Let b = t - -62. Solve -5*o - 2 = -b for o.
1
Let o = 9 - 14. Let s be (-2)/o + 9/15. Solve -m = -s - 0 for m.
1
Let p(b) = -b**2 - 6*b + 20. Let m be p(-9). Let g be (1 - (-5)/m) + 33/7. Solve 36 = g*f + 11 for f.
5
Let k(a) = -a**3 - 3*a**2 - 2*a - 1. Let n be k(-3). Suppose d + 0*d = t - 3, -4*t + 6 = -2*d. Let c = d + n. Solve -c*q = 2*q for q.
0
Suppose -5*d - 13 = -3*o, 0*o - 5*d + 17 = 2*o. Suppose -r + 3*l - 30 = -5*r, 5*l = 2*r - 28. Let k = r + -6. Solve -k*z - 3 = -o for z.
1
Suppose 0 = 6*d - 3*d + 3*i - 48, -5*i = d - 36. Suppose -3*w = -d + 2. Solve -5*l - w = -13 for l.
2
Suppose -2*n = -2*a + 48, 2*a + 104 = -4*n + 158. Solve a = -6*b + 31 for b.
1
Let b = 52 - 37. Solve -h + 6*h = -b for h.
-3
Let z = 317 + -314. Solve 0 = 11*i - z*i - 24 for i.
3
Suppose -264*q + 266*q = 8. Solve -2*k - 2 + q = 0 for k.
1
Let r be 280/28 - (-5 + 0). Let y(p) = -2*p**2 + 31*p - 12. Let h be y(r). Solve h*n + n = -4 for n.
-1
Let g be (-1)/2 - 5/(-10). Let j = 2 - -4. Suppose g = -h - h + j. Solve -q - h*q + 4 = 0 for q.
1
Suppose 270 = 4309*b - 4300*b. Solve -3 = 27*v - b*v for v.
1
Let h be (-5)/(-1) - (-5 - -5). Suppose -2*v = 3*c + v - 27, -3*v = h*c - 35. Let r be -4 + 2 - (1 - 6). Solve -r*d + c = -2*d for d.
4
Suppose -5*x + 0 + 5 = 0. Let f be (-1)/x*-4 - 1. Solve -z - f = 2*z for z.
-1
Suppose 0*q + 3*d + 125 = 4*q, 3*q - 2*d = 95. Solve -38*v = -q*v - 9 for v.
3
Let g be 1 + (1 - (3 - 3)). Suppose 3*v - 12 = -0*v. Suppose 0 = -v*t - 3*f + 18, 3*t - 2*f - 3*f + 1 = 0. Solve -g*a + t = -a for a.
3
Let h = 34 - 29. Solve -h*z - 1 = -4*z for z.
-1
Let v(b) = b**3 + 13*b**2 - 28*b + 45. Let d be v(-15). Solve -5*i = 25 - d for i.
-2
Let o = -208 + 213. Solve 0 = o*u - 16 - 4 for u.
4
Suppose -40 = 27*d - 32*d. Suppose 0 = -2*z - 3*u - u + 48, -3*z - 2*u + 68 = 0. Solve 6*q + d + z = 0 for q.
-5
Suppose 0 = -v - 3 + 6. Let p = -14 - 8. Let n = -12 - p. Solve -5*f - n = -v*f for f.
-5
Let t(w) = w**2 - 47*w + 218. Let m be t(42). Solve 0 = 2*z + 10 - m for z.
-1
Let m(w) = w**2 - 10*w - 38. Let c be m(13). Suppose -26 = -5*q - c. Solve 4*p = -p + q for p.
1
Let m = -170 - -180. Solve -m = -28*c + 30*c for c.
-5
Suppose 208 = 11*w + 15*w. Let i(g) = 9*g**2 - 7*g - 5*g**3 - 3 + 3*g**3 + g**3. Let u be i(w). Solve 3*q + 7 + u = 0 for q.
-4
Suppose -2*x + c + 38 = 0, -20*x - 68 = -24*x + 4*c. Solve -6*l + 3 = -x for l.
4
Let s(v) = -v**3 - v**2 + 36*v - 27. Let f be s(-7). Solve -2*a = -5*a - f for a.
-5
Let y(m) = 4*m**2 - 100*m + 10. Let l be y(25). Solve 12*x - 7*x = l for x.
2
Let a = -69 + 72. Suppose a*i - 9 = 3*y, -3*y = -5*i + 3*i + 5. Solve l - 5 = -i*l for l.
1
Suppose 9*j - 14 = 7*j. Let m be 22/(-4)*(-14)/j. Suppose -m*q = -12*q + 4. Solve -3*z + q = z for z.
1
Let t = -365 + 367. Solve 6*r - t = 5*r for r.
2
Let f(r) be the third derivative of 5*r**4/24 - r**2. Let w = -81 + 83. Let z be f(w). Solve -3*n - z = -n for n.
-5
Let n be (-2)/13 - (-5 - (-252)/52). Solve -4*h + n + 20 = 0 for h.
5
Suppose 0 = -5*q + w + 4, -2*q + 4*w = -4*q + 6. Let t be (-209)/(-114) + q/6. Solve t*l + 15 = -l for l.
-5
Let b(t) = -t - 25. Let d be b(-25). Suppose -1 = 3*v + 2. Let k(q) = -3*q**3 - 2*q - 1. Let w be k(v). Solve d = w*o - 8 - 8 for o.
4
Let m = 1363 + -1345. Solve -m = 34*v - 28*v for v.
-3
Let c(b) = b**3 + 15*b**2 - 13*b + 51. Let o be c(-16). Solve 0 = 2*k - 3*k + o for k.
3
Let b(c) = -c + 17. Let l be b(11). Let p be (84/l)/(2/(-1)). Let r(f) = -f**2 - 9*f - 10. Let g be r(p). Solve g*w - 3 = w for w.
1
Let i be 32/(-160) - ((-6)/5 + 0). Solve i - 13 = 4*u for u.
-3
Let f be (12/(-7))/(((-40)/(-140))/(-1)). Solve f*a - 1 = 7*a for a.
-1
Let v be (14 + -1 - 152/(-19)) + -8. Solve -v*p + 23 = 10*p for p.
1
Suppose -634 = 2*k - 634. Solve k*x = 8*x for x.
0
Let o(l) = 2*l**3 + 6*l**2 - 3*l + 1. Let p be o(-3). Suppose 0 = -2*y - 3*d - 9, 2*y = -2*d - p + 4. Solve g + g + 8 = y for g.
-4
Suppose -2*k + 16 = 3*l, 2*k = 5*k + 3. Solve u + l = -u for u.
-3
Let x(u) = u**2 + 4. Let s be x(-2). Let l(k) = -k + 13. Let a be l(s). Solve 0*g - a*g = 0 for g.
0
Let i = 2047 - 2035. Solve 7*u + i = 13*u for u.
2
Suppose -f + 9 = 2*d + 7, 58 = 4*f - 2*d. Solve c = 5*c - f for c.
3
Let r(c) be the first derivative of -7*c + 4*c**2 + 1 - 7/3*c**3 + 1/4*c**4. Let a be r(6). Solve 10 = 3*j - a for j.
5
Let i(g) = 4*g - 5 + 0 - 2 - 4. Let b be i(4). Let z(s) = -s**2 - 3*s + 4. Let u be z(-4). Solve u = -l + b*l for l.
0
Suppose -5*j + 4 = -3*j. Let i = 24 + -12. Suppose -i*u + 11*u + 4 = 0. Solve -3*f - j = u for f.
-2
Let p be -8*(0 + (-1)/2). Let i(h) = 15*h + 60. Let a be i(-4). Solve -p*d + d - 12 = a for d.
-4
Let a(t) be the third derivative of -t**4/24 + t**3/6 - 19*t**2. Let f be a(1). Solve f = 5*n - 2*n for n.
0
Let w = 22 + -7. Suppose 0*i - w = -3*i. Suppose 0 = v + i*n - 3, 0*v + 3*v - 4*n = 9. Solve v*k = 2*k + 5 for k.
5
Let l be (4 + 0 + -4)/2. Suppose -d - 4*d = 2*j - 8, l = 3*j - 2*d - 12. Solve -j = 5*o + 16 for o.
-4
Let v = -58 + 61. Suppose 0 = -2*o + 10 + 6. Let g be 61/3 + (-2)/6. Solve g = -v*h + o for h.
-4
Suppose 5*z + 161 = -4*w, 71 = z - 4*z + 4*w. Let s = z - -41. Suppose 7 = -4*d + u + 4, 0 = 5*d + 4*u - s. Solve d*i = 3*i + 12 for i.
-4
Let s be (0/(-1))/(0 + 2). Suppose i - 3*i = s. Solve -4*u + 0*u = i for u.
0
Let v(f) = -f**2 + 7*f - 6. Let g be v(6). Suppose g = 4*z + 3*x + 1 - 18, 2*z = -3*x + 13. Let c(a) = -3*a + 75. Let m be c(25). Solve -2*r + r + z = m for r.
2
Let q(h) = -2*h**3 - h. Let k be q(-1). Solve -7*d = -k*d - 4 for d.
1
Suppose 2*k = -2*k - 216. Let q = k - -58. Solve q = 2*u - 4 for u.
4
Let y be (-41 + -13)/9 - (-1 - 9). Solve -86 = 18*x + y for x.
-5
Let d(u) = 2*u**2 + 127*u + 94. Let s be d(-63). Solve -s*v + 25 = -36*v for v.
-5
Let y(a) = 9*a - 18. Let f(d) = -10*d + 18. Let v(m) = 5*f(m) + 6*y(m). Let u be v(6). Suppose u*x = -0*x. Solve 5*o + 0*o + 15 = x for o.
-3
Let u = 56 - 53. Suppose -4*b + 69 = 5*i - 1, -u*i + 6 = 0. Solve -3*x + b = -0*x for x.
5
Let a = -247 + 171. Let q = a + 76. Solve q*d - 4*d + 12 = 0 for d.
3
Let c be -18*(-6 + 2)/12. Suppose 3*o - 30 - c = 0. Solve 2*m - o = 5*m for m.
-4
Suppose 0*w + 9 = 3*w. Suppose -w*q = -o - 18, -2*q - 3*o + 23 = -0*o. Let i be 3/6*8*2. Solve 5*d + q + i = 0 for d.
-3
Suppose -179*o + 20 = -174*o. Solve 9*y + 20 = o*y for y.
-4
Let z = -144 - -144. Solve -6*f - 11 - 13 = z for f.
-4
Let c(u) = -18*u - 15. Let i be c(-2). Solve -2*j - 5*j = -i for j.
3
Let i(t) be the third derivative of t**6/120 + t**5/12 - t**4/24 - t**3/6 - 16*t**2. Let x be i(-5). Solve -x*a + 0*a - 12 = 0 for a.
-3
Suppose -6*j + 2*j - 4 = 0. Let i = j + 2. Let k be 1*(i + 6/3). Solve s - k = 4*s for s.
-1
Let q be 1/(65/(-20))*39/(-6). Solve 13*t + 60 = -q*t for t.
-4
Let f be (-6)/(-2)*(-7)/(56/(-40)). Solve f = -j + 20 for j.
5
Let r = 18 + -47. Let b = 31 + r. Solve b*z + 3 = -5 for z.
-4
Let k(u) = 3*u - 8. Let j be k(6). Suppose -j = -d - 5. Suppose -63*l + 58*l + 10 = 0. Solve -3*i + d = l*i for i.
1
Suppose 4*l + x - 17 = 6*x, -l = 3*x. Let k be -3 - (2 + -3) - (l + -7). Solve 8*d = 10*d + k for d.
-1
Let q | {
"pile_set_name": "DM Mathematics"
} |
0.
-545, -9
Let -4*f**5 - 3116*f**4 + 57060*f**3 - 258228*f**2 = 0. What is f?
-797, 0, 9
Suppose -4*u**2 - 1074867*u + 268717 = 0. What is u?
-268717, 1/4
Solve 4*f**5/5 - 2116*f**4/5 + 285032*f**3/5 - 1360304*f**2/5 - 1647456*f/5 = 0.
-1, 0, 6, 262
Solve -2*h**2/23 - 290*h/23 - 8528/23 = 0.
-104, -41
Suppose -l**2/5 + 2851*l/5 + 17142/5 = 0. Calculate l.
-6, 2857
Factor -5*w**4 + 27675*w**3.
-5*w**3*(w - 5535)
Find i such that -200*i**4 + 19766*i**3 + 23720*i**2 - 32024*i + 2400 = 0.
-2, 2/25, 3/4, 100
Factor -d**2 - 5529*d + 5530.
-(d - 1)*(d + 5530)
Solve -3*z**4 + 537*z**3 - 408*z**2 - 22428*z = 0 for z.
-6, 0, 7, 178
What is l in -l**4 + 2461*l**3 - 7373*l**2 - 2461*l + 7374 = 0?
-1, 1, 3, 2458
Let 236*g**2 - 11540*g - 1176 = 0. Calculate g.
-6/59, 49
Solve 6*i**5/5 - 1096*i**4 + 1238408*i**3/5 + 5875188*i**2/5 + 5488722*i/5 - 2528172/5 = 0.
-3, -2, 1/3, 459
Let 91875*t**3 - 4048800*t**2 + 277308*t - 4752 = 0. What is t?
6/175, 44
Factor -f**3/4 - 71*f**2 - 3545*f/4 - 2981/2.
-(f + 2)*(f + 11)*(f + 271)/4
Factor -2*s**5/15 - 38*s**4/3 + 194*s**3/5 - 586*s**2/15 + 196*s/15.
-2*s*(s - 1)**3*(s + 98)/15
Factor -t**2/2 - 2873*t/2.
-t*(t + 2873)/2
Determine l, given that l**3 + 123*l**2 + 4896*l + 63580 = 0.
-55, -34
Solve 2*t**5/9 + 112*t**4/3 - 4348*t**3/9 - 1672*t**2/3 + 4346*t/9 + 520 = 0.
-180, -1, 1, 13
Factor 5*x**3 - 640*x**2 + 19635*x.
5*x*(x - 77)*(x - 51)
Solve 2*f**2/7 + 822*f/7 - 3512 = 0.
-439, 28
Factor -2*w**3 - 10072*w**2 - 11792264*w + 2274855744.
-2*(w - 168)*(w + 2602)**2
Find s such that -14*s**3/5 + 9174*s**2/5 + 16180*s + 71712/5 = 0.
-54/7, -1, 664
Factor -2*p**4/5 - 236*p**3/5 - 10418*p**2/5 - 203904*p/5 - 1492992/5.
-2*(p + 27)**2*(p + 32)**2/5
Factor 4*s**2 - 78084*s + 78080.
4*(s - 19520)*(s - 1)
Factor 3*l**3/7 - 2160*l**2/7 + 1836*l.
3*l*(l - 714)*(l - 6)/7
Factor -2*u**4/7 + 1040*u**3/7 - 144236*u**2/7 + 2349360*u/7 - 10206162/7.
-2*(u - 251)**2*(u - 9)**2/7
Factor 2*d**2/9 + 848*d/3 + 108064/9.
2*(d + 44)*(d + 1228)/9
Let -2*u**5 + 906*u**4 - 108238*u**3 + 1257494*u**2 + 108240*u - 1258400 = 0. What is u?
-1, 1, 13, 220
Let -50*q**2 + 65*q - 15 = 0. Calculate q.
3/10, 1
Solve -c**2 + 21678*c - 117483921 = 0.
10839
Determine v, given that -3*v**4/2 + 2613*v**3/2 - 15525*v**2/2 - 38901*v/2 - 10380 = 0.
-1, 8, 865
What is f in 21*f**5/2 - 135*f**4/2 + 51*f**3 + 207*f**2 - 123*f/2 - 279/2 = 0?
-1, 1, 3, 31/7
Factor -b**2/4 + 687*b - 13640.
-(b - 2728)*(b - 20)/4
Factor -s**3/2 - 14179*s**2 - 100536198*s - 201015684.
-(s + 2)*(s + 14178)**2/2
Let -2*x**2 - 430*x + 16932 = 0. Calculate x.
-249, 34
Factor -49729*l**2/5 + 57534*l/5 - 16641/5.
-(223*l - 129)**2/5
Find z, given that -4*z**4 - 17212*z**3 - 18489972*z**2 + 55590460*z - 37083272 = 0.
-2153, 1, 2
Factor 3*d**3/4 + 153*d**2/2 + 1080*d + 4128.
3*(d + 8)**2*(d + 86)/4
Find z such that 2*z**4/11 + 518*z**3/11 + 38394*z**2/11 + 612850*z/11 + 1076236/11 = 0.
-119, -19, -2
Let 3*r**4/5 + 138*r**3/5 - 5853*r**2/5 + 49812*r/5 - 8820 = 0. Calculate r.
-75, 1, 14
Factor -3*u**3/2 - 12*u**2 + 546*u + 5880.
-3*(u - 20)*(u + 14)**2/2
Determine y so that -2*y**3 + 8692*y**2 - 69368*y - 173520 = 0.
-2, 10, 4338
Factor 2*z**2 - 5782*z + 11556.
2*(z - 2889)*(z - 2)
Factor -j**4 + 1792*j**3 + 5385*j**2.
-j**2*(j - 1795)*(j + 3)
Solve -2*u**4 - 18*u**3 + 122*u**2 + 642*u + 504 = 0.
-12, -3, -1, 7
Factor 3*i**3/2 - 2883*i**2/2 - 41244*i - 290766.
3*(i - 989)*(i + 14)**2/2
What is t in -5*t**4 - 4290*t**3 - 465245*t**2 + 195177840*t - 10349430080 = 0?
-517, 88
Factor -g**2/2 - 111*g/2 - 1309.
-(g + 34)*(g + 77)/2
Factor -176*y**2 - 206796*y + 4700.
-4*(y + 1175)*(44*y - 1)
What is k in 5*k**2 + 133880*k + 133875 = 0?
-26775, -1
Solve -6*c**2 + 747*c/2 + 9669/2 = 0 for c.
-11, 293/4
Factor 5*y**3 + 635*y**2 + 18035*y - 18675.
5*(y - 1)*(y + 45)*(y + 83)
Solve 5*u**5/3 - 50*u**4/3 - 550*u**3/3 - 800*u**2/3 + 545*u/3 + 850/3 = 0 for u.
-5, -2, -1, 1, 17
Solve -3*n**3 + 1602*n**2 - 214575*n + 212976 = 0 for n.
1, 261, 272
Factor -2*h**3 - 1098*h**2 - 2190*h - 1094.
-2*(h + 1)**2*(h + 547)
Find s such that -s**3 - 10*s**2 + 196*s + 1960 = 0.
-14, -10, 14
Solve h**4/11 + 1724*h**3/11 + 34117*h**2/11 + 63066*h/11 + 30672/11 = 0.
-1704, -18, -1
Suppose 5*k**3/3 + 3290*k**2/3 - 2200*k = 0. Calculate k.
-660, 0, 2
Solve 20*a**2 + 638096*a/5 - 25524/5 = 0.
-6381, 1/25
Suppose 7*y**3 + 90261*y**2 + 128933*y + 38679 = 0. What is y?
-12893, -1, -3/7
Let -18*w**3 - 237*w**2 - 477*w + 732 = 0. What is w?
-61/6, -4, 1
Find o such that -20*o**3/3 - 47212*o**2 - 94404*o - 141596/3 = 0.
-35399/5, -1
Suppose -4*x**3 - 660*x**2 - 26892*x + 27556 = 0. What is x?
-83, 1
What is j in 4*j**3/9 + 24920*j**2/9 - 99728*j/9 + 33248/3 = 0?
-6234, 2
Determine h so that 5*h**3 - 4310*h**2 - 34800*h = 0.
-8, 0, 870
Determine k, given that -3*k**2 + 77067*k + 77070 = 0.
-1, 25690
Solve -2*i**3/11 + 174*i**2/11 + 21260*i/11 + 41808/11 = 0 for i.
-67, -2, 156
Suppose -2*z**2 + 4841276*z - 2929744163522 = 0. Calculate z.
1210319
Factor 2*b**2/13 + 348*b/13 - 45414/13.
2*(b - 87)*(b + 261)/13
Factor -4*i**2 + 36512*i + 109572.
-4*(i - 9131)*(i + 3)
Factor -4*g**2/7 - 21068*g/7 + 934736/7.
-4*(g - 44)*(g + 5311)/7
Factor 33*n**2/8 + 1107*n/8 - 1173/4.
3*(n - 2)*(11*n + 391)/8
Let -2*a**3 - 124*a**2 - 1838*a - 1716 = 0. Calculate a.
-39, -22, -1
Let 297*a**3 - 582*a**2 - 7152*a - 288 = 0. What is a?
-4, -4/99, 6
Solve 2*r**3/11 - 928*r**2/11 + 58198*r/11 + 59128/11 = 0 for r.
-1, 76, 389
Factor 25*j**3/9 - 1723*j**2/9 + 1562*j/9 + 136/9.
(j - 68)*(j - 1)*(25*j + 2)/9
Suppose -4*o**2 - 256*o - 252 = 0. Calculate o.
-63, -1
What is s in 5*s**3 - 7290*s**2 + 1788480*s - 121305600 = 0?
144, 1170
Factor -2*f**2/3 - 4916*f - 29488/3.
-2*(f + 2)*(f + 7372)/3
What is a in 9*a**2/4 - 14467*a/2 = 0?
0, 28934/9
Determine w, given that 5*w**4 - 1545*w**3 - 4680*w**2 - 20*w + 6240 = 0.
-2, 1, 312
Let 3*p**5/8 - 45*p**4/2 - 12003*p**3/8 + 45*p**2/2 + 1500*p = 0. Calculate p.
-40, -1, 0, 1, 100
Solve 15*b**4 - 1593*b**3 + 4941*b**2 + 345*b - 3708 = 0 for b.
-4/5, 1, 3, 103
Factor 4*g**4 - 160*g**3 - 5292*g**2 - 10088*g - 4960.
4*(g - 62)*(g + 1)**2*(g + 20)
Determine y, given that y**3/6 + 1615*y**2/6 - 1350*y = 0.
-1620, 0, 5
Determine d, given that -d**4 - 14922*d**3 - 119332*d**2 - 298296*d - 238624 = 0.
-14914, -4, -2
Factor 12*m**3 + 5319*m**2 + 154593*m + 38316.
3*(m + 31)*(m + 412)*(4*m + 1)
Find y such that -y**3/6 - 4*y**2 + 2*y/3 + 16 = 0.
-24, -2, 2
Determine t so that -t**3/6 - 63*t**2 + 1141*t/6 - 127 = 0.
-381, 1, 2
Factor -4*s**4 + 180*s**3 + 14916*s**2 - 111860*s.
-4*s*(s - 85)*(s - 7)*(s + 47)
Factor -s**2 - 433*s + 3528.
-(s - 8)*(s + 441)
Solve -3*r**4/4 - 1371*r**3/4 - 140865*r**2/4 + 1371*r/4 + 35217 = 0 for r.
-301, -156, -1, 1
Factor 8*z**3 - 95700*z**2 + 286226736*z - 143089444.
4*(z - 5981)**2*(2*z - 1)
Determine h so that 3*h**2 + 1845*h + 10962 = 0.
-609, -6
Let 14*t**5/13 + 8*t**4/13 - 2*t**3 - 20*t**2/13 = 0. What is t?
-1, 0, 10/7
Factor -180*p**2 + 161277*p + 2688.
-3*(p - 896)*(60*p + 1)
Suppose 2*t**2/13 + 260734*t/13 - 782220/13 = 0. What is t?
-130370, 3
Solve 5*s**4 - 313240*s**3 + 939690*s**2 - 939680*s + 313225 = 0.
1, 62645
What is u in 4*u**5 + 4*u**4 - 40*u**3 + 32*u**2 = 0?
-4, 0, 1, 2
Let 168*l**4/5 - 15772*l**3/5 - 4976*l**2/5 + 8636*l - 4520 = 0. What is l?
-2, 5/7, 1, 565/6
Suppose 4*a**5 + 26284*a**4 - 78884*a**3 + 26308*a**2 + 78880*a - 52592 = 0. What is a?
-6574, -1, 1, 2
Solve 147*u**4 + 310254*u**3 + 3264252*u**2 + 1789320*u + 252000 = 0.
-2100, -10, -2/7
Determine y, given that -2*y**4 - 76730*y**3 - 383608*y**2 - 306880*y = 0.
-38360, -4, -1, 0
Solve 38*f**2 + 1090*f - 6868 = 0 for f.
-34, 101/19
What is z in -z**5/2 - 75*z**4 - 3787*z**3 - 86436*z**2 - 1824417*z/2 - 3565485 = 0?
-77, -21, -10
Factor 3*h**2 + 3654*h - 51744.
3*(h - 14)*(h + 1232)
Factor 2*c**3/9 + 2128*c**2.
2*c**2*(c + 9576)/9
Factor -4*s**2/7 - 344*s/7 + 2244.
-4*(s - 33)*(s + 119)/7
Suppose -g**4/4 + 179*g**3/4 + 9859*g**2/4 - 10391*g/4 - 10035/2 = 0. What is g?
-45, -1, 2, 223
Solve o**4 + 28*o**3 - 97*o**2 - 124*o = 0.
-31, -1, 0, 4
Factor n**5/4 + 81*n**4/2 + 5481*n**3/4 + 13230*n**2.
n**2*(n + 21)**2*(n + 120)/4
Solve 4*v**4 - 96*v**3 - 2284*v**2 - 10680*v - 14400 = 0.
-10, -3, 40
What is l in 2*l**3/1 | {
"pile_set_name": "DM Mathematics"
} |
e 7612?
False
Is 53 a factor of 1194?
False
Is 6 a factor of 12353?
False
Is 3423 a multiple of 141?
False
Is 5265 a multiple of 25?
False
Does 27 divide 2454?
False
Is 11 a factor of 3256?
True
Is 280 a multiple of 7?
True
Does 29 divide 13891?
True
Is 768 a multiple of 24?
True
Is 2496 a multiple of 13?
True
Does 17 divide 154?
False
Is 3876 a multiple of 67?
False
Is 675 a multiple of 27?
True
Is 321 a multiple of 4?
False
Is 7 a factor of 472?
False
Is 16 a factor of 11999?
False
Is 85 a multiple of 3?
False
Is 17 a factor of 4471?
True
Is 159 a multiple of 2?
False
Is 156 a multiple of 3?
True
Does 11 divide 1127?
False
Is 113 even?
False
Does 32 divide 27454?
False
Does 25 divide 74526?
False
Is 8624 a multiple of 14?
True
Is 1733 a multiple of 14?
False
Is 3 a factor of 568?
False
Is 5199 a multiple of 50?
False
Is 490 a multiple of 49?
True
Does 7 divide 535?
False
Does 24 divide 1211?
False
Is 125 a factor of 33875?
True
Is 16 a factor of 112?
True
Does 31 divide 2170?
True
Does 8 divide 4241?
False
Is 57750 a multiple of 210?
True
Is 2157 a multiple of 20?
False
Is 37758 a multiple of 48?
False
Does 5 divide 23068?
False
Does 27 divide 281?
False
Does 42 divide 311?
False
Is 282 a factor of 31020?
True
Is 29 a factor of 319?
True
Does 34 divide 108261?
False
Is 47 a factor of 17390?
True
Does 43 divide 4484?
False
Does 7 divide 7?
True
Is 962 a multiple of 22?
False
Does 12 divide 18132?
True
Is 8102 a multiple of 89?
False
Does 78 divide 5614?
False
Does 15 divide 6485?
False
Is 99 a factor of 4950?
True
Is 138 a multiple of 49?
False
Does 162 divide 28804?
False
Does 85 divide 1089?
False
Is 202 a factor of 47615?
False
Is 7093 a multiple of 15?
False
Is 17 a factor of 7616?
True
Is 331 a multiple of 11?
False
Does 9 divide 194?
False
Is 24 a factor of 47664?
True
Does 101 divide 11951?
False
Is 210 a factor of 6390?
False
Is 9900 a multiple of 18?
True
Is 90 a factor of 16020?
True
Does 11 divide 44?
True
Does 3 divide 867?
True
Does 28 divide 23576?
True
Does 50 divide 1500?
True
Does 15 divide 913?
False
Does 8 divide 520?
True
Does 40 divide 1562?
False
Does 50 divide 1450?
True
Does 8 divide 250?
False
Is 15 a factor of 1168?
False
Is 125 a factor of 4250?
True
Is 209 a multiple of 9?
False
Is 29 a factor of 24099?
True
Is 53418 a multiple of 307?
True
Is 40708 a multiple of 89?
False
Does 5 divide 10018?
False
Is 6168 a multiple of 8?
True
Does 9 divide 4635?
True
Is 23 a factor of 5388?
False
Is 12 a factor of 9675?
False
Is 65 a factor of 11895?
True
Is 4 a factor of 346?
False
Is 39 a factor of 4602?
True
Is 23947 a multiple of 101?
False
Is 9374 a multiple of 47?
False
Is 4660 a multiple of 20?
True
Does 10 divide 4880?
True
Does 6 divide 2444?
False
Is 2 a factor of 43?
False
Is 200 a multiple of 6?
False
Does 92 divide 4218?
False
Does 71 divide 3262?
False
Is 11 a factor of 275?
True
Does 5 divide 1938?
False
Is 107 a multiple of 3?
False
Does 20 divide 35870?
False
Is 47 a factor of 859?
False
Does 39 divide 273?
True
Is 1050 a multiple of 3?
True
Is 22390 a multiple of 502?
False
Is 13 a factor of 407?
False
Does 10 divide 10050?
True
Does 40 divide 74123?
False
Is 5016 a multiple of 22?
True
Is 384 a multiple of 10?
False
Does 96 divide 4128?
True
Does 18 divide 756?
True
Is 50 a factor of 4993?
False
Does 15 divide 450?
True
Does 9 divide 38403?
True
Is 3 a factor of 1700?
False
Is 896 a multiple of 14?
True
Is 281 a factor of 48702?
False
Is 10 a factor of 3502?
False
Is 16 a factor of 1130?
False
Is 43706 a multiple of 16?
False
Is 41 a factor of 3239?
True
Is 3 a factor of 179?
False
Does 72 divide 2448?
True
Is 41791 a multiple of 8?
False
Does 21 divide 1849?
False
Is 9 a factor of 5782?
False
Is 8 a factor of 56?
True
Is 3 a factor of 1156?
False
Does 2 divide 1219?
False
Does 18 divide 17964?
True
Does 29 divide 974?
False
Is 5978 a multiple of 49?
True
Is 16 a factor of 496?
True
Is 239 a multiple of 5?
False
Does 37 divide 60?
False
Is 13490 a multiple of 30?
False
Does 12 divide 31155?
False
Does 10 divide 650?
True
Is 432 a multiple of 8?
True
Is 2604 a multiple of 21?
True
Is 15694 a multiple of 14?
True
Does 3 divide 4531?
False
Does 36 divide 28224?
True
Is 15 a factor of 60988?
False
Does 4 divide 7088?
True
Is 6975 a multiple of 75?
True
Is 569 a multiple of 46?
False
Does 70 divide 30590?
True
Is 1428 a multiple of 14?
True
Does 34 divide 956?
False
Is 208 a factor of 10816?
True
Is 3516 a multiple of 9?
False
Does 3 divide 3919?
False
Is 18 a factor of 12672?
True
Is 26 a factor of 26?
True
Does 16 divide 85216?
True
Is 40618 a multiple of 190?
False
Is 37 a factor of 4013?
False
Is 1825 a multiple of 73?
True
Is 229 a multiple of 8?
False
Is 9819 a multiple of 9?
True
Is 5696 a multiple of 32?
True
Does 5 divide 1029?
False
Is 13 a factor of 41444?
True
Is 30 a factor of 1470?
True
Is 46 a factor of 11300?
False
Does 14 divide 101108?
True
Is 4 a factor of 3350?
False
Does 36 divide 540?
True
Is 6897 a multiple of 33?
True
Does 43 divide 959?
False
Is 31500 a multiple of 18?
True
Does 54 divide 66889?
False
Is 1350 a multiple of 90?
True
Is 1248 a multiple of 16?
True
Does 42 divide 437?
False
Is 30 a factor of 74640?
True
Does 32 divide 208?
False
Is 252 a multiple of 14?
True
Is 1035 a multiple of 23?
True
Is 3994 a multiple of 17?
False
Is 1600 a multiple of 10?
True
Does 248 divide 15128?
True
Does 116 divide 30322?
False
Is 1849 a multiple of 14?
False
Is 21 a factor of 15498?
True
Is 800 a multiple of 25?
True
Is 34 a factor of 2486?
False
Is 3313 a multiple of 9?
False
Is 743 a multiple of 4?
False
Is 1353 a multiple of 11?
True
Is 5085 a multiple of 15?
True
Is 43 a factor of 1247?
True
Is 29 a factor of 754?
True
Is 20 a factor of 43?
False
Is 7 a factor of 4706?
False
Is 40937 a multiple of 264?
False
Does 19 divide 363?
False
Is 6960 a multiple of 116?
True
Is 1708 a multiple of 13?
False
Is 45 a factor of 1319?
False
Is 1547 a multiple of 91?
True
Does 4 divide 70?
False
Is 56 a factor of 16688?
True
Is 12 a factor of 1128?
True
Does 252 divide 5387?
False
Is 11 a factor of 1035?
False
Does 12 divide 348?
True
Does 5 divide 785?
True
Is 108 a multiple of 27?
True
Does 45 divide 855?
True
Is 105 a factor of 13020?
True
Is 13 a factor of 6318?
True
Does 17 divide 18343?
True
Is 11 a factor of 2995?
False
Is 10 a factor of 23561?
False
Does 71 divide 781?
True
Is 216 even?
True
Is 1657 a multiple of 24?
False
Is 12 a factor of 588?
True
Is 33 a factor of 27386?
False
Does 124 divide 20956?
True
Is 12 a factor of 516?
True
Is 79 a factor of 1343?
True
Does 17 divide 1068?
False
Is 101 a factor of 17473?
True
Is 39595 a multiple of 94?
False
Is 196 a factor of 49784?
True
Does 23 divide 3192?
False
Is 1820 a multiple of 52?
True
Is 4 a factor of 15164?
True
Is 256 a multiple of 4?
True
Is 44 a factor of 413?
False
Is 13 a factor of 171559?
False
Is 12 a factor of 12480?
True
Does 19 divide 1859?
False
Is 1030 a multiple of 32?
False
Does 79 divide 13481?
False
Is 12 a factor of 10801?
False
Does 35 divide 5140?
False
Is 32 a factor of 4680?
False
Does 21 divide 8442?
True
Does 113 divide 2260?
True
Is 10 a factor of 3430?
True
Is 9 a factor of 45?
True
Is 20 a factor of 788?
False
Does 36 divide 2048?
False
Does 8 divide 6092?
False
Is 4 a factor of 156?
True
Is 230 a factor of 59340?
True
Is 7 a factor of 35023?
False
Is 3 a factor of 861?
True
Is 27 a factor of 24413?
False
Is 15 a factor of 4860?
True
Is 11 a factor of 547?
False
Is 7 a factor of 364?
True
Does 18 divide 3888?
True
Is 148 a multiple of 14?
False
Is 3162 a multiple of 56?
False
Does 8 divide 344?
True
Is 31239 a multiple of 27?
True
Is 1104 a multiple of 24?
True
Is 632 even?
True
Is 16 a factor of 448?
True
Is 90 a factor of 27137?
False
Is 678 a multiple of 56?
False
Is 227 a factor of 3249?
False
Is 8 a factor of 1333?
False
Is 12 a multiple of 12?
True
Is 30 a factor of 966?
False
Is 2 a factor of 449?
False
Is 1620 a multiple of 108?
True
Is 959 a multiple of 42?
False
Is 14 a factor of 4559?
False
Is 163 even?
False
Is 50 a factor of 25316?
False
Does 63 divide 168?
False
Is 16 a factor of 2985?
False
Is 10317 a multiple of 12?
False
Is 1352 even?
True
Is 53 a factor of 2067?
True
Does 81 divide 3701?
False
Is | {
"pile_set_name": "DM Mathematics"
} |
0. Which is the closest to -1? (a) -1 (b) w (c) -3/5 (d) -2/11
a
Let q = -342 + 343. Which is the nearest to q? (a) 0.4 (b) 26 (c) -4
a
Let n = -44 + 68. Let p = -25 + n. Which is the nearest to p? (a) -2/7 (b) -0.3 (c) -4
b
Let g be (-1 - 1)/((-5 + 6)*9). Let t = 4.75 - -0.25. Which is the closest to 6? (a) -0.4 (b) g (c) t
c
Let t(g) = 2*g**2 + g - 1. Let x be t(-2). Let v = -1034 - -1033. What is the nearest to v in 0.3, x, 2/5?
0.3
Let b = -0.1 - 0.1. Let q = 770 - 769.3. What is the closest to b in 5, 1, q?
q
Let n be 4 - 14 - (-29 + 22). Let c = 3.1 - -0.9. What is the closest to -11 in n, -2, c?
n
Let f = 3.18 - 5.09. Let w = 2.56 - 2.65. Let n = f + w. Which is the closest to n? (a) 2 (b) -2 (c) 0.4
b
Let i be 10/(-44)*(1 + 36/(-20)). Which is the nearest to i? (a) 7 (b) 2 (c) 3
b
Let w = -308.1 + 308. What is the nearest to 1 in 0.3, 1, w?
1
Let a = 209 - 209.3. What is the nearest to -35 in 0.2, 2, a?
a
Let k = 0.46 + 0.04. Let s be ((-2)/(-16))/(6/(-300)). Let v = -159/28 - s. Which is the nearest to 3? (a) -4 (b) k (c) v
c
Let x = 73 + 7. Let h = 79 - x. Let s be 10/4 + 2/(-1). Which is the closest to h? (a) -5 (b) 2/7 (c) s
b
Suppose 5*i - 10 = 5*t, 2*t + 28 = -i - 3*t. Let n(m) = -2*m + 21. Let d be n(10). What is the nearest to -1/4 in d, i, -6?
d
Let l = 1363 + -1365. Which is the nearest to -2/11? (a) 0.4 (b) 2/13 (c) -2/7 (d) l
c
Let z = 0.173 + -420.173. Which is the nearest to z? (a) 5 (b) -0.4 (c) -3/7
c
Let p = -18.8 + 20.9. What is the nearest to p in -2/19, 0, -2?
0
Let t = 61.3 - 61. What is the nearest to -0.1 in -2, t, 0.5?
t
Let h = 0.6 - 0.8. Let r be 320/(-552) - 4/46. Which is the closest to r? (a) h (b) 5 (c) -2
a
Let g = -4.9 - -0.9. Let k = -0.18 + -1.02. Let f = -1.2 - k. Which is the nearest to f? (a) -0.1 (b) g (c) 1/5
a
Let r = -3132 + 3127. Let m = 2.1 - 2. Which is the nearest to 1/2? (a) m (b) r (c) 2/3
c
Let m = 2.6 + -3.5. Let l = m + -0.1. Let o = l - 6. Which is the nearest to 1? (a) 1/2 (b) o (c) 4
a
Let c = 25.5 - 27. Let d = 2.5 - c. Let l = 4 - 4. What is the nearest to l in d, -3, -2/3?
-2/3
Let o be ((-18)/(-90))/(6/10). What is the closest to 13 in -2, -2/5, o?
o
Let p = -1508 - -1586. Which is the nearest to 0.1? (a) p (b) 1 (c) -5
b
Let m(w) = w**3 + 16*w**2 + 10*w - 74. Let k be m(-15). Let j = 0.7 - 0.3. Let l = -0.05 - 1.95. What is the closest to k in j, 5, l?
j
Let u = -15 + 23. Let s = u - 23. Let w = 14.1 + s. What is the nearest to 0 in 4, 0.1, w?
0.1
Let y = 43/5 - 119/15. Let x = 0.1 + 2.9. Which is the nearest to 0? (a) -5 (b) y (c) x
b
Let s = -17 + 32. Suppose -3*v - 41 = -4*d - 0*d, 0 = 5*v + s. Let z be (-32)/d - (-38)/10. Which is the closest to 1? (a) 5 (b) z (c) -0.4
b
Let d = -49.91 + 49.41. Let w be 6/30 + 1/5. Which is the nearest to w? (a) 4 (b) d (c) -2
b
Let p = 51.9 - 57.9. Let s = 10 + -6. Let d be (-7)/(-6) + 2/(-3). What is the nearest to d in p, s, -5?
s
Let h = -1.9177 + -0.0823. What is the closest to -175 in h, -1/2, 0?
h
Let y = -30.08 + 27.3. Let w = y - 0.22. What is the nearest to -2/9 in w, 1/4, 2/7?
1/4
Let f = -146 + 150. Let h = 0 + 0.5. What is the nearest to 1 in h, f, -0.1?
h
Let u = 5.5 - 0.1. Let w = u - 5.2. What is the closest to 0 in 3, w, -0.3?
w
Suppose -37*k + 50 = 13. Which is the nearest to k? (a) 3/7 (b) -1 (c) -3
a
Let g = 2 - 2.1. Let q be -1 - 0 - 33/(-39). Let x = 1619 - 1617. Which is the nearest to g? (a) -1/3 (b) x (c) q
c
Let n = 2/395 + -1594/2765. Let j = 0 + -2. Let w = 7/6 - 1/2. What is the nearest to w in n, j, 1/2?
1/2
Let g = -888 - -882. Let i = 77 - 159/2. What is the nearest to 2/5 in i, 4, g?
i
Let y be (95/25*-1 - -6) + -2. Which is the closest to y? (a) -0.3 (b) -0.05 (c) -1 (d) 0
d
Let t be ((-1)/1 - -4)/((-3)/(-4)). Suppose 0 = 11*r + 4 + 7. What is the nearest to -4/7 in r, -1/4, t?
-1/4
Let q(j) = -j + 11. Let w be q(6). Let s be (-6*2/2)/(-2). Let z = -60 - -61. Which is the nearest to z? (a) w (b) s (c) -1/2
c
Let v be (195/(-95) + 2)*-1. Let b = 22/57 - v. What is the nearest to b in 5, -3, -4?
-3
Let j = -0.274 - -5.274. What is the closest to 16/7 in j, 4, -5?
4
Let r be (-2)/(-2) + (-8)/6. Suppose 0 = -4*p + p - 3. Let w be 18*-1 + 3135/171. What is the nearest to p in r, w, 5?
r
Let h = -1/257 + -186/18247. Which is the nearest to 1? (a) 1/4 (b) -0.3 (c) h (d) 1/6
a
Let p = 1.3 - 0.7. Let m = p - 0.6. Let u = 0.1 - m. Which is the nearest to 0.1? (a) -2/13 (b) 7 (c) u
c
Let r be (-3)/(10/(0 - 10)). Which is the nearest to r? (a) 1 (b) 3/2 (c) -0.03
b
Let v = 0.058 + 31.942. Let d = 34 - v. What is the nearest to -1 in d, 5, 0.1?
0.1
Let t = 1 - 2. Suppose 2*v = -f + 24, -v + 8 + 4 = 4*f. Suppose v*y - 11 = 13. What is the closest to t in 5, -1, y?
-1
Let g = 0.379 - 4.379. What is the closest to 0 in 1, g, 3/4?
3/4
Suppose -y = -2*k - 2*k + 21, 3*y = -k + 2. Let o be (14/(-35))/(3/k). Let f(r) = -r**3 + 3*r**2 - r. Let x be f(3). What is the nearest to 1/5 in o, x, 0.1?
0.1
Let g = -0.233 - 0.267. What is the nearest to -3/11 in 0.3, -4, g?
g
Let h = 4.04 + -0.04. Let u = h + -2. Let d = -2582/7 - -12896/35. What is the closest to -1 in 2/5, d, u?
d
Let c = -3049 + 3049.5. Let q = 2.93 + 0.07. What is the nearest to q in 3/5, c, 3/4?
3/4
Let p = -83.2 + 87. Let v = p + -6.8. What is the closest to 2 in 4, v, -3/8?
4
Let y = -50.02 + 50. Let n = 0.01 - y. Let u = -0.2 - -0.2. What is the nearest to -2 in 0.3, u, n?
u
Suppose -8 = -5*r + c, 2*r + 3*c = 6*r - 2. Suppose 0*n = n - 26. Suppose 3*x + 14 - n = 0. What is the nearest to 0 in x, r, 5?
r
Let g = -0.482 - -0.48. Let l = -4.998 + g. Let n(m) = m + 5. Let s be n(0). Which is the nearest to 1? (a) s (b) l (c) 1/5
c
Let o = 0.014 + 59.286. Let j = -59 + o. Which is the closest to -2/7? (a) j (b) -2.4 (c) 2
a
Let y = 180 - 1978/11. Which is the nearest to 2? (a) -1/4 (b) 1/3 (c) y (d) -0.2
b
Suppose 8*y - 5*y = -t - 8, 0 = 4*t - 2*y - 10. What is the nearest to t in 4, -2/15, 2?
2
Let b be -1*18*4/3. Suppose -4*w = -2*q - 3*q - 28, 3*w + 4*q = -10. Let x be (-6)/b - (w + -2). What is the nearest to 0.2 in 4/5, x, 0.1?
x
Let p = 0.0786 + -0.0186. Which is the closest to -1? (a) p (b) -0.2 (c) -0.5 (d) -1
d
Let d = -160/7 - -23. Let f = 6508 - 6508.2. Which is the nearest to f? (a) 0.2 (b) 0.3 (c) d
c
Let r = 302 + -306. Let j = -1/60 - -811/60. Let y = j + -14. What is the closest to -1 in r, -5, y?
y
Suppose -2*c + 2786 = 2*n - 0*n, 5*n = -3*c + 6959. Let s = -5483/4 + n. Let a = 39/2 - s. What is the nearest to -1 in a, 2, 1/7?
1/7
Let s be (-13)/(-22) + (-12)/66. Let t = -443/451 - -3/41. Let j = s + t. Which is the nearest to 1/4? (a) j (b) 3 (c) 1/3
c
Let t = -0.1718 - 3.8282. Let z be 1 - (-40)/6 - -2. Let n = 10 - z. Which is the closest to n? (a) t (b) 4 (c) -0.3
c
Let m = 665 - 664. What is the nearest to 0.05 in -2, 4, -4/5, m?
-4/5
Let g = -634 + 631. What is the closest to -12/13 in 0.4, g, 2/9, -1?
-1
Let z = -59 + 59.02. What is the nearest to 6/11 in 2, -6/7, z?
z
Let l be (-2 + 8/5)/1. Let t = -0.2 + 0.17. Let g = t + 0.08. Which is the nearest to l? (a) g (b) -5/2 (c) -5
a
Let t be 8/(-2 + -4 + 4). Which is the closest to 2? (a) t (b) -20 (c) 0.4
c
Let k = 44.18 - 3.78. Let d = 40 - k. What is the nearest to 4 in 5, -4, d?
5
Let s = -0.7 - 7.3. Let d = s + 7.2. Let g = 3.2 - d. Which is the closest to 0? (a) 0 (b) -1/2 (c) g
a
Let m = 230 - 229.9. Which is the closest to m? (a) -0.5 (b) 4 (c) -5
a
Let i = 454 - 457. What is the nearest to i in 7, -0.3, -5/3?
-5/3
Let u = 0.114 + 0.406. Let k = u - -3.48. Let l = -5 - -8. Which is the closest to 0.1? (a) k (b) 0.2 (c) l
b
Let v = -4 + 7. Let h be v - (12/(-10) + 4). Let t be 2/(-7) + 9 + -9. Which is the closest to h? (a) 2 (b) 0 (c) t
b
Suppose -5*l + 0*d - 104 = 4*d, 5*l - d = -99. Let j be (l/(-12) - 2)*1 - -1. Which is the closest to j? (a) -1/3 (b) -4 (c) 1
c
Let w(l) = l**2 - 6*l + 1. Let m be w(4). Let n(o) = 6*o + o**3 - 199 + 99 + 98 + 8*o**2. Let d be n(m). What is the closest to -0.1 in -4/5, d, -0.4?
-0.4
Suppose -h - 14 = -5*a, -4*a + 1 = -2*h - 3. Suppose -h*v - 15 = -3*v. Let z = 32 + -32. What is the nearest to 1 in v, z, 1/10?
1/10
Let f = -0.6 - | {
"pile_set_name": "DM Mathematics"
} |
3 + 3. Let t(j) = j + 3. Give 5*t(y) + 2*w(y).
y + 1
Let w(f) = -6 + 8 - f - 5. Let c(r) = -2 + 3 + 0 - 2. Calculate 4*c(v) - w(v).
v - 1
Let c = 7 - 25. Let s(a) = 0*a**2 - 3 - a**2 + 2. Let l(g) = 8*g**2 + 9. Calculate c*s(j) - 2*l(j).
2*j**2
Let s(o) = -7*o - 4. Let l(v) = v + 8 + 10*v + 9*v + 3. Determine 4*l(g) + 11*s(g).
3*g
Let l(p) = p - 2*p + 4*p. Let v(m) = 3*m. Let d = 358 + -362. Give d*v(n) + 5*l(n).
3*n
Let z(p) = -6*p**2 - 10. Let u(h) be the first derivative of -4*h**3/3 - 7*h - 4. Suppose i + 3 = 10. Suppose 3*a + 1 = -2*x, -2 = a - 5. Give i*u(w) + x*z(w).
2*w**2 + 1
Let l(h) = -15*h**2 + 13. Let m(o) = 3*o + 2. Let f be m(4). Let n = f + -8. Let d = -6 + 19. Let y(w) = 7*w**2 - 6. Determine d*y(p) + n*l(p).
p**2
Suppose -6*t = -t - 15. Let f(s) be the third derivative of -s**6/24 - s**4/8 - s**2. Let z(h) = 6*h**3 + 4*h. Calculate t*z(g) + 4*f(g).
-2*g**3
Let o(f) = -10*f**2 + 24. Suppose 0*r - 3*r + 9 = 0. Let a(d) = r*d - 5 + 2*d**2 - 3*d. Calculate 14*a(g) + 3*o(g).
-2*g**2 + 2
Suppose n = 3*n - 4. Let a(k) = -3 + 1 + 0 - k**n + 3. Let d(l) = -l**2 + 2. What is 2*a(r) - d(r)?
-r**2
Let c(g) = 13*g**2 + 2*g - 2. Let l(j) = j**2 + j - 1. Determine -3*c(t) + 6*l(t).
-33*t**2
Let f(i) = 5*i + 4. Let d(o) = -11*o - 7. What is 3*d(n) + 5*f(n)?
-8*n - 1
Let b(u) = -u**2 - 9*u + 10. Let z(o) = -5*o + 5. Determine 3*b(f) - 5*z(f).
-3*f**2 - 2*f + 5
Let f be 85/15 + (-2)/3. Let l(b) = -2*b**2 - 4*b + 5. Let i(s) be the second derivative of -s**4/12 - s**3/3 + s**2 + 8*s. Give f*i(k) - 2*l(k).
-k**2 - 2*k
Let u(a) be the first derivative of 1/3*a**3 + 2*a - 1 + 0*a**2. Let b(v) = -3*v**2 - 5. Calculate 2*b(o) + 5*u(o).
-o**2
Let j(x) = 2*x**2 - 5*x + 1 + 0 - 1. Let a(v) = 6*v**2 - 16*v. Calculate 3*a(c) - 10*j(c).
-2*c**2 + 2*c
Let o(v) = 26*v. Let x(z) = -9*z. Calculate -5*o(c) - 14*x(c).
-4*c
Suppose 2*h + 9 - 11 = 0. Let y(q) = -q**2 - q - 1. Let d(t) = t**2 + 1. Give h*y(r) + 3*d(r).
2*r**2 - r + 2
Let b(l) = 6*l - 3. Suppose -15*i = -12 - 33. Let p(f) be the second derivative of -5*f**3/6 + f**2 + f. Determine i*b(d) + 4*p(d).
-2*d - 1
Let w(h) = -2 - 9*h**3 - 2*h**2 - 7 - 4*h - h - 2*h**2. Let f = -9 + 14. Let o(d) = 5*d**3 + 2*d**2 + 3*d + 5. Determine f*o(s) + 3*w(s).
-2*s**3 - 2*s**2 - 2
Let o(a) = -2*a - 5. Let p be o(-4). Suppose -p*n = 2*n - 25. Let l(h) = 4*h - 2. Let x(d) = 4*d - 4 + 8*d - 5*d. Give n*l(w) - 3*x(w).
-w + 2
Let a(h) = 4*h - 2. Let x(k) = -7*k + 15. Let y(u) = 2*u - 5. Let n(p) = 6*x(p) + 17*y(p). Calculate -5*a(o) - 2*n(o).
-4*o
Let x(z) = -7*z**2 + 105. Let f(m) = 3. Give 105*f(d) - 3*x(d).
21*d**2
Let h(n) = -5*n**2 + 6*n + 8. Let w(z) = z**2 - z - 1. Let q be 76/18 + (-10)/45. Suppose -4*d - 4*i - 40 = 0, 0 = -q*d - 3*i + 14 - 50. Give d*w(a) - h(a).
-a**2 - 2
Let f(z) = 27*z**2 - 4*z + 4. Let r(x) = 80*x**2 - 11*x + 11. Determine -11*f(m) + 4*r(m).
23*m**2
Let q(b) = -14*b + 2. Let c(z) = -z. Let m(l) = 2*l. Let t(f) = -5*c(f) - 2*m(f). Calculate -q(k) - 12*t(k).
2*k - 2
Let n(m) = 15*m**3 + 13. Let d(l) = -7*l**3 - 6. Determine 9*d(q) + 4*n(q).
-3*q**3 - 2
Let s(c) = 4*c**2 - 5. Let h be (1 + (-13)/3)*-3. Let n = h - 5. Let k(m) = -10*m**2 + 12. Determine n*k(x) + 12*s(x).
-2*x**2
Let h be -4 - 1/(1/(-6)). Let r(t) = t - h*t - 1 + 2*t. Let a(k) = -2 + k - 3*k + 4*k. Determine 6*a(w) - 11*r(w).
w - 1
Let t(y) = 6*y**2 - 3*y - 6. Let u(c) be the first derivative of -2/3*c**3 + 1/2*c**2 - 2 + 2*c. Determine -6*t(q) - 17*u(q).
-2*q**2 + q + 2
Let k(s) = -2*s**3 - 8*s - 2. Let a(f) = 2*f**3 + 8*f + 3. What is -3*a(j) - 4*k(j)?
2*j**3 + 8*j - 1
Let n(q) = q**2 - q - 5. Let g(k) = 2*k**2 - k - 11. Give -3*g(s) + 7*n(s).
s**2 - 4*s - 2
Let i(q) = q + 1. Let s(f) = -7*f - 3. Give 2*i(k) + s(k).
-5*k - 1
Let x(d) = -1976*d**2 - 209*d. Let r(b) = -19*b**2 - 2*b. What is 209*r(s) - 2*x(s)?
-19*s**2
Let r(w) = 15*w**3 - 4*w**2 + 4*w - 2. Let z(a) = 8*a**3 - 2*a**2 + 2*a - 1. What is -3*r(f) + 5*z(f)?
-5*f**3 + 2*f**2 - 2*f + 1
Let j(a) = -16*a**3 - 14. Let f(g) = -g**3 - 1. Give 56*f(i) - 4*j(i).
8*i**3
Let h(u) be the second derivative of -7*u**4/6 - 17*u**2/2 - u. Let p = 2 + -1. Let q be 3*p*68/12. Let f(k) = -5*k**2 - 6. Calculate q*f(n) - 6*h(n).
-n**2
Let t(z) = 3*z**2 - 3*z - 3. Let g = 11 - 7. Let x(b) = -3*b**2 - 4 + 0 + 6*b**2 - g*b. What is 4*t(a) - 3*x(a)?
3*a**2
Let u(g) = -1. Let c(i) = i**3 + 8*i**2 - 21*i - 11. Let o be c(-10). Let y(x) = x - 6. Calculate o*y(p) + 4*u(p).
-p + 2
Let u(w) = -w - 1. Let r = -12 - -17. Let q(x) = -3*x**2 + 3*x + 5. Determine r*u(s) + q(s).
-3*s**2 - 2*s
Let k(o) = -6*o + 17. Let q(c) = -3*c + 8. Give 6*k(y) - 13*q(y).
3*y - 2
Let m(x) = 3*x + 5. Let b(w) = w + 2. Let z = -11 - -13. Give z*m(o) - 5*b(o).
o
Let d(o) be the second derivative of -2*o**3/3 - 3*o**2/2 + 2*o. Let t = -9 - -5. Let q(h) = 5*h + 4. Let w be -2 + 1 - (-4)/(-2). Determine t*d(f) + w*q(f).
f
Let k(l) = 3*l. Let j(r) = 7*r. Suppose -3*s - 5*z - 1 = 0, 2*z + 1 = -3*s - 3. Let g = -6 - s. Determine g*j(o) + 9*k(o).
-o
Let t(w) = 32 - 63 + w + 31. Let l(n) = -n**3 + n. What is 3*l(m) - t(m)?
-3*m**3 + 2*m
Let l(j) = 2*j**3 + 2*j. Suppose 4*g = 8 - 4. Let w(m) = m**3. What is g*l(o) - 4*w(o)?
-2*o**3 + 2*o
Let w(f) = 2*f**3 + 3*f**2 - f + 3. Let u(m) = 6*m**3 + 8*m**2 - 3*m + 8. Suppose -5*y - 46 = -6. Give y*w(p) + 3*u(p).
2*p**3 - p
Let s(w) = -5*w**2 - w + 2. Let g(f) = -15*f**2 - 3*f + 7. Give 4*g(k) - 14*s(k).
10*k**2 + 2*k
Let i be (-3)/(6/(-4)) + -13. Suppose 12 = j + 4*q, 3*j - 10 = 3*q - 2*q. Let x(n) = -8*n**2 - 6*n - 3. Let y(v) = -3*v**2 - 2*v - 1. Give i*y(f) + j*x(f).
f**2 - 2*f - 1
Let t(c) = c - 4. Let o(v) = v**3 - 6*v**2 + v + 2. Let j be o(6). Let n(g) = 8 - g - g + 8 - 5. Calculate j*t(z) + 3*n(z).
2*z + 1
Let u = -606 + 619. Let k(v) = -9 - 3*v - 2*v**2 - v + 2*v. Let h(s) = -s**2 - s - 4. Suppose 0 = -4*q - 16 - 8. What is q*k(d) + u*h(d)?
-d**2 - d + 2
Let b(g) = -g + 1. Let d(o) = -8*o**3 - 8*o + 8. Calculate -40*b(w) + 5*d(w).
-40*w**3
Let h be 1 + (-15)/(-3) - 2. Suppose -h*q - 6 = 26. Let p(c) = 14*c**2 - 6*c - 14. Let t(v) = -5*v**2 + 2*v + 5. What is q*t(b) - 3*p(b)?
-2*b**2 + 2*b + 2
Let z(c) = -9*c**2 - c + 1. Let q(w) = -4*w**2 + 1. Give 5*q(v) - 2*z(v).
-2*v**2 + 2*v + 3
Let p(a) = 3*a - 11. Let i be -1 + 4 + -2 + -6. Let g(m) = m - 5. Give i*g(q) + 2*p(q).
q + 3
Let c(u) = 643*u - 648*u - 4 + 1 + 5. Let x(t) = -4*t + 1. Give -2*c(k) + 3*x(k).
-2*k - 1
Let i(a) = 2*a**3 - 7*a**2 - 3. Let o = -14 + 27. Suppose -12*d = -o*d - 10. Let y(f) = f**3 - 3*f**2 - 1. What is d*y(h) + 4*i(h)?
-2*h**3 + 2*h**2 - 2
Let b(q) = -2*q + 2. Let i(g) be the third derivative of -g**4/12 + g**3/3 + 21*g**2. Let d be ((-4)/(-6))/((-1)/6). Give d*b(u) + 3*i(u).
2*u - 2
Let w(c) = c. Let r(y) = y + 1. Let s = 49 - 48. Determine s*w(v) + 2*r(v).
3*v + 2
Let x(m) = -6*m - 8 + 6 - 11 + 4*m. Let a(g) = g + 6. Let u be 2*(-1)/((-2)/20). Let f = 14 - u. Determine f*x(h) - 13*a(h).
-h
Let q(l) = -1. Let j be (-183)/(-27) - (-2)/9. Let p = 9 - j. Let y(n) = 3*n + 1. Let w(i) = -10*i - 4. Let z(u) = -2*w(u) - 7*y(u). What is p*z(c) + 3*q(c)?
-2*c - 1
Let n(k) = 5*k + 17. Let o(y) = 9*y + 35. Give 5*n(w) - 3*o(w).
-2*w - 20
Let n(c) = c**3 - c**2 - c - 1. Let p(s) = -6*s**3 + 4*s**2 + 6*s + 5. Give 4*n(d) + p(d).
-2*d**3 + 2*d + 1
Let h(p) = 2*p**2 - 4*p + 3. Let g be h(3). Let s(q) = -g*q + 16*q + 2 - 14*q. Let u(l) = -4*l + 1. Let z = -16 + 11. What is z*u(m) + 3*s(m)?
-m + 1
Let q(j) = -j**2 - 7*j - 4. Let x(d) = -d**2 + d. Let o(p) = -q(p) - 2*x(p). Let t(z) = z**2 + z + 1. Calculate -o(r) + 5*t(r).
2*r**2 + 1
Let p(j) = 4*j**2 + 5*j. Let u(h) be the first derivative of -4*h**3 - 7*h**2 + 16. Calculate 17*p(k) + 6*u(k).
-4*k**2 + k
Let o(p) = 6*p**2 - 5. Let y(j) = -11*j**2 + 9. Let d(k) be the second derivative of k**4/12 - 2*k**3 - 2*k**2 + 3*k. Let t be d(12). Determine t*y(n) - 7*o(n).
2*n**2 - 1
Let n(g) = -g. Let c = 48 + -50. Let k(r) = r**3 - r**2. Give c*k(f) - n(f).
-2*f**3 + 2*f**2 + f
Let t(z) = 10*z**3 + 8*z**2 - 8*z. Let n(s) = -s**3 - s**2 + s. What is 8*n(g) + t(g)?
2*g**3
Let z(s) = -5*s - 4. Suppose -5*q - 34 = -y, -y - 10 = 5*q + 4*y. Let p(r) = r + 1. Give q*p(u) - z(u).
-u - 2
Let w(d) = -3*d**2 + 7*d - 7. Let q(a) = -a**2 + 2*a - 2. Let l = -2 + -12. Determine l*q(z) + | {
"pile_set_name": "DM Mathematics"
} |
from mdddvdvndddmvv.
1/13
Four letters picked without replacement from uunnumnuuumuuuuuuuuu. What is prob of sequence nuuu?
91/1292
What is prob of sequence xx when two letters picked without replacement from {m: 5, p: 12, x: 2}?
1/171
Two letters picked without replacement from {n: 2, s: 18}. What is prob of sequence nn?
1/190
Four letters picked without replacement from fkkfqkfffkfqfffkkk. Give prob of sequence kfkk.
7/272
Calculate prob of sequence ofoz when four letters picked without replacement from {f: 2, k: 1, o: 2, z: 1, l: 1}.
1/210
What is prob of sequence zf when two letters picked without replacement from {z: 3, v: 1, f: 4, l: 1, u: 2, t: 4}?
2/35
Four letters picked without replacement from {n: 1, t: 3, e: 7, q: 4, h: 4}. What is prob of sequence qtte?
7/3876
What is prob of sequence ssll when four letters picked without replacement from {s: 2, l: 2, w: 5, i: 9}?
1/18360
Three letters picked without replacement from mmmmmmmmkmmmmmm. Give prob of sequence mkm.
1/15
Two letters picked without replacement from kbubkubkuuuukbkkkbuk. What is prob of sequence kb?
2/19
Two letters picked without replacement from emxuxmttatmumtu. Give prob of sequence xt.
4/105
Four letters picked without replacement from ljyelelyeylyy. Give prob of sequence llyy.
2/143
What is prob of sequence pp when two letters picked without replacement from ipoipppo?
3/14
Two letters picked without replacement from tjttbdbjtopdt. Give prob of sequence tt.
5/39
Four letters picked without replacement from iiyilcuiil. What is prob of sequence cyli?
1/504
Two letters picked without replacement from {h: 2, r: 9}. Give prob of sequence hr.
9/55
Four letters picked without replacement from hwgnwwwhwwg. What is prob of sequence hggn?
1/1980
Two letters picked without replacement from {p: 1, q: 6, h: 1, j: 1, u: 3}. Give prob of sequence hj.
1/132
Two letters picked without replacement from {s: 1, n: 1, t: 1, w: 2, p: 1, c: 1}. Give prob of sequence sc.
1/42
Calculate prob of sequence cb when two letters picked without replacement from cfbfc.
1/10
Four letters picked without replacement from vovovovvovvvvo. Give prob of sequence vooo.
45/2002
Two letters picked without replacement from ccycrprrxcxcxcpxyxcc. Give prob of sequence cy.
4/95
Three letters picked without replacement from {j: 1, q: 14, f: 2}. Give prob of sequence fqj.
7/1020
Four letters picked without replacement from hsshhshszznszzszss. Give prob of sequence hzsh.
1/153
Two letters picked without replacement from {q: 2, x: 4, l: 6, g: 4, e: 1}. Give prob of sequence lx.
3/34
What is prob of sequence ayf when three letters picked without replacement from {e: 5, h: 1, f: 1, y: 1, a: 6}?
1/364
What is prob of sequence app when three letters picked without replacement from apppppaa?
5/28
Three letters picked without replacement from cccccccccqccc. What is prob of sequence cqc?
1/13
Calculate prob of sequence go when two letters picked without replacement from {o: 3, g: 2}.
3/10
Two letters picked without replacement from {w: 2, p: 1, l: 8, q: 3, b: 1, g: 1}. What is prob of sequence lq?
1/10
Four letters picked without replacement from {a: 2, t: 8, u: 4, y: 5}. What is prob of sequence aytt?
35/5814
Three letters picked without replacement from {i: 2, k: 10}. Give prob of sequence kii.
1/66
What is prob of sequence moo when three letters picked without replacement from zmzdzzozowzdzmzzzzzz?
1/1710
Four letters picked without replacement from wwtwwtwwwttwtw. Give prob of sequence tttt.
5/1001
Two letters picked without replacement from qppopwtytyooqyy. Give prob of sequence tq.
2/105
Calculate prob of sequence pn when two letters picked without replacement from {n: 6, p: 4, s: 1}.
12/55
What is prob of sequence av when two letters picked without replacement from ffvfvdnwvfna?
1/44
Three letters picked without replacement from {q: 1, n: 1, g: 2}. Give prob of sequence ggn.
1/12
Calculate prob of sequence qq when two letters picked without replacement from {x: 4, o: 5, q: 3}.
1/22
Calculate prob of sequence cwcc when four letters picked without replacement from {c: 3, w: 2}.
1/10
Calculate prob of sequence eimm when four letters picked without replacement from {j: 2, e: 3, i: 5, m: 2}.
1/396
Three letters picked without replacement from {b: 2, h: 8, v: 4, r: 2, g: 3}. Give prob of sequence rgr.
1/969
Calculate prob of sequence qq when two letters picked without replacement from eeqeeqqeqqqqeqeq.
3/10
Calculate prob of sequence xx when two letters picked without replacement from xxxxxxxxx.
1
Three letters picked without replacement from immiwmhmmiwmmmmm. What is prob of sequence iwm?
1/56
Two letters picked without replacement from {i: 1, l: 14}. What is prob of sequence li?
1/15
Calculate prob of sequence brb when three letters picked without replacement from rrbbrrrvb.
5/84
Calculate prob of sequence kk when two letters picked without replacement from kzkpypkpkkky.
5/22
Two letters picked without replacement from yyyytyyyyayyyyttyyyy. What is prob of sequence at?
3/380
Four letters picked without replacement from {p: 2, y: 7, e: 3}. What is prob of sequence yepp?
7/1980
Three letters picked without replacement from {w: 1, v: 2, a: 1, x: 2, u: 2}. Give prob of sequence wxu.
1/84
Four letters picked without replacement from {n: 11, c: 3}. Give prob of sequence cncn.
5/182
Two letters picked without replacement from vcddcvxvccvcvacvvae. What is prob of sequence da?
2/171
Three letters picked without replacement from vsvjlvvlve. Give prob of sequence elj.
1/360
Two letters picked without replacement from hggggggggggggghhghg. Give prob of sequence hg.
10/57
What is prob of sequence qvyg when four letters picked without replacement from {k: 1, g: 1, q: 1, y: 4, v: 2}?
1/378
Three letters picked without replacement from {n: 3, i: 9}. Give prob of sequence nin.
9/220
Four letters picked without replacement from {m: 3, s: 5, y: 2, q: 9}. What is prob of sequence qysy?
5/5168
Calculate prob of sequence dwd when three letters picked without replacement from dcwdccdddwcddrcd.
1/30
What is prob of sequence nh when two letters picked without replacement from hhhnnhh?
5/21
What is prob of sequence qg when two letters picked without replacement from uququqquguqquq?
1/26
Calculate prob of sequence xh when two letters picked without replacement from huzuuuzx.
1/56
Four letters picked without replacement from {h: 2, s: 4, a: 3, n: 1}. What is prob of sequence haas?
1/105
Three letters picked without replacement from {r: 2, l: 3, q: 2, o: 1, p: 4}. Give prob of sequence lpr.
1/55
What is prob of sequence gsgw when four letters picked without replacement from gwwsggggswwxxggbx?
1/170
Two letters picked without replacement from rtytqtmytqbqrrqqbtq. Give prob of sequence qy.
2/57
Three letters picked without replacement from {s: 4, l: 3, u: 9}. What is prob of sequence sll?
1/140
Three letters picked without replacement from {q: 2, v: 1, h: 1}. What is prob of sequence hqv?
1/12
Three letters picked without replacement from jejseqj. Give prob of sequence jjq.
1/35
Four letters picked without replacement from {t: 2, z: 1, n: 5, m: 1, b: 1}. What is prob of sequence zbnn?
1/252
Four letters picked without replacement from {z: 4, s: 2, e: 7, x: 3, q: 1}. What is prob of sequence eszx?
1/340
Three letters picked without replacement from www. Give prob of sequence www.
1
Three letters picked without replacement from {t: 2, e: 3, v: 4, u: 1, x: 3, k: 2}. Give prob of sequence exe.
3/455
Two letters picked without replacement from {p: 2, z: 5, f: 1, k: 2, h: 2, m: 5}. Give prob of sequence hp.
1/68
Two letters picked without replacement from {o: 1, s: 2, r: 2, b: 2, z: 1}. Give prob of sequence os.
1/28
What is prob of sequence zzzr when four letters picked without replacement from zrrrrzrrzzzzz?
21/286
Three letters picked without replacement from {o: 1, a: 1, g: 1, r: 1, b: 1}. Give prob of sequence rob.
1/60
Calculate prob of sequence ol when two letters picked without replacement from hhollp.
1/15
Three letters picked without replacement from {u: 1, d: 1, g: 3}. What is prob of sequence ddg?
0
Three letters picked without replacement from bnbnbbnbcbnbnccbn. What is prob of sequence nbn?
1/17
Calculate prob of sequence vv when two lette | {
"pile_set_name": "DM Mathematics"
} |
133 - x. What is the nearest to i in -0.3, 0.4, 0?
0
Suppose -9*s = -41*s + 96. Which is the nearest to s? (a) 2/5 (b) -3/5 (c) 1/9 (d) -2/33
a
Let q = 8.99 + 0.01. Let r = 7 + -6. Suppose -4*y - 2*i - 1 - 11 = 0, -5*y - 2*i = 17. Which is the closest to r? (a) q (b) y (c) -3
c
Let z = 318 - 2227/7. What is the nearest to -2 in z, -5, -1/8, 5?
z
Let y be (-2)/15 + (-57)/585. What is the closest to 1 in -2/17, y, 2/13?
2/13
Let u = 10 - 71. Let j = 58 + u. Let b = -7 + 3. What is the nearest to -3 in 0.2, b, j?
j
Suppose 0*q = -3*q. Let j be 2/((-4)/(-12)*33). Let z = 0.1 - 0. What is the closest to -1/3 in z, q, j?
q
Let j = -95.154 + 94.2. Let r = j - 0.046. Suppose 4*i - k + 4 = 0, -2*i + k - 4 = 3*i. Which is the nearest to r? (a) 2/17 (b) i (c) 0.5
b
Let v be ((-2)/3)/((-2)/3). Let g = -843 - -838. Which is the closest to -4? (a) g (b) -4 (c) v
b
Let x(h) = -h - 13. Let t be x(-16). Let v = -0.19 - 1.11. Let j = v - 3.7. Which is the nearest to -7? (a) t (b) j (c) -0.1
b
Let t = 13921/17 - 819. Let s be 3/(-21) - (-4)/(-14). What is the closest to 2/9 in t, 0.5, s?
0.5
Let z be 1 - (3 - (0/4 + -10)). What is the closest to -1 in z, 2/17, -2?
-2
Let j = -22.4 - -22.5. What is the closest to j in 0.02, 0.2, 5, -1/5?
0.02
Let u = -0.07 - 2.93. Let g = u - 2. Let i = 0.56 + -0.96. What is the closest to -1 in g, -3/5, i?
-3/5
Let u = 1.06 + -0.16. Let s = u - -9.1. Let f = s + -15. Which is the closest to -1? (a) -3 (b) 5 (c) f
a
Let q = 3 + -2. Suppose -20 = -3*w - w, 0 = 3*i - w - 247. Let g = i - 89. Which is the closest to q? (a) 1 (b) g (c) -2
a
Let r be (-2)/6 + (-20)/(-6). Suppose 5*h - 20 = -4*c, -r*c + 0*c + 4*h - 16 = 0. Let a = -3056.9 + 3057. What is the nearest to -1/4 in c, a, 3?
c
Let v = 1037 + -1042. Which is the nearest to -3? (a) -8 (b) v (c) 3
b
Let j = 198 - 197. Which is the closest to 0? (a) 0.13 (b) 0.3 (c) j
a
Let f = 13.4 + -13.2. Which is the closest to 5/6? (a) -0.5 (b) 3 (c) f (d) -2
c
Let v be 2 + (-1276)/7 - (9 + -6). Let m = -183 - v. Which is the nearest to 0.1? (a) m (b) -0.4 (c) 0.2
c
Let h = 1.064 + -0.064. Which is the nearest to h? (a) 2/69 (b) 2/9 (c) 0
b
Let w = 10.3 + -7.3. Let u = 19 + -18.9. Which is the nearest to u? (a) -4/7 (b) 0 (c) w
b
Let z be 0*(-21)/(-126) + 1 + -30. What is the closest to -1 in -6/5, z, 4, 5?
-6/5
Let l = 167 + -337/2. Which is the closest to 13? (a) -1/2 (b) l (c) -0.4
c
Let p = -4.02 + 4. Let z = 362/7 + -52. Let y = 470 - 8928/19. Which is the nearest to -1? (a) p (b) y (c) z
c
Let j = 422 - 419. Which is the closest to 2? (a) j (b) 0.06 (c) 4 (d) -7
a
Let y = 0.04 + 0.36. Let p be (0/1)/(5*16/(-80)). What is the nearest to -3 in 2, p, y?
p
Let b = 96.9 + -103. Let f = b - 19.9. Let p = f + 26. What is the nearest to 1 in -0.4, p, 0.4?
0.4
Let l be ((-2450)/63)/14 + 3. What is the closest to -0.2 in 0.1, 3, 0.4, l?
0.1
Let w = 455/4 + -114. Which is the closest to -2/5? (a) -0.01 (b) w (c) -2
b
Let p = -1 - 0. Suppose 0 = -3*z + o + 1, -12 = 7*z - 3*z - 4*o. Let m = 600 - 3599/6. What is the nearest to p in m, z, -3?
m
Let z = -0.3133 - 0.0867. Let f = 3 - 2. Which is the nearest to 2? (a) 2/9 (b) z (c) f
c
Let b = 9 - 5. Let u be 0*((-6)/(-3) + 3/(-2)). Let l be (u - 12/8)/(42/(-8)). What is the closest to -0.1 in b, l, -0.2?
-0.2
Let p = 519/4 - 3641/28. Which is the closest to -3? (a) -1/3 (b) -2/17 (c) -4 (d) p
c
Let s = -562 - -561. What is the nearest to s in 6, 1, 1/4, -3/5?
-3/5
Let p be (-17)/4 + 4/1. Let d be ((-1)/3)/((-2)/(-3)). Let j = -7.6 - -8. Which is the nearest to d? (a) p (b) -2 (c) j
a
Let d = 353 + -353.203. Let m = d - 13.697. Let f = m + 14. Which is the closest to -2? (a) f (b) -2 (c) 2
b
Suppose -h + 6 + 8 = 0. Let r = h + -10. Let n = r + -2. What is the closest to 0.1 in -1/4, n, -3?
-1/4
Let b = 1533/4 + -383. What is the nearest to 1 in 2/49, b, 2?
b
Let n be 1650/(-350) + 2/(-7). Which is the nearest to 1? (a) n (b) -1 (c) 1/4
c
Let t(k) = 1168*k + 5839. Let u be t(-5). Let d = 11/60 - -1/15. What is the closest to d in 1/4, u, -4?
1/4
Let p = 18 - 8. Let t = -291.7 + 302. Let q = t - p. Which is the closest to 1/3? (a) q (b) -0.5 (c) -5
a
Let q(f) = f**3 + 5*f**2 - 11*f - 1. Let h be q(-6). Suppose -2*g + h = -3*g. Which is the closest to g? (a) 3/4 (b) 3/8 (c) -0.5
c
Let s = -0.01 + -0.29. Let p = -5.78 - -5.28. Which is the nearest to -0.08? (a) -3 (b) s (c) p
b
Let i = 289 - 284. What is the nearest to -1 in i, 235/6, -2/3?
-2/3
Let v = 573 - 573.1. Which is the nearest to v? (a) 1 (b) 4 (c) -8
a
Let u be 56/(-90) - 2/(-9). Let i be 74/(-14) - (-2)/7. Let l be -1 + (40/12 - (-1 + 4)). What is the closest to u in 4, i, l?
l
Let u = 7.5 + -10. Let x = u + 2. Let w = 0.117 - -0.183. What is the closest to 0 in 4, x, w?
w
Let z = -5.2 - -5. Let n = -3823/2 + 1913. Which is the closest to -1? (a) z (b) n (c) 0.4
a
Let n = 54/7 - 169/21. What is the nearest to n in 5, -0.04, -3, 1/8?
-0.04
Let v = -1687 - -1687.1. Let w be (2/6)/((-4)/(-9)). Which is the closest to v? (a) -2 (b) w (c) -0.06
c
Suppose 0 = 10*l + 11 - 71. Let b = -1.3 - -0.3. What is the nearest to -1 in l, -3/5, b?
b
Let g = 135.6281 - 0.0281. Let a = 124 - g. Let n = a - -12. What is the closest to -2/3 in -2, n, 4?
n
Suppose -3*q - 736 = -739. Let j = 1.2 - 1. Which is the nearest to q? (a) j (b) 0.01 (c) 1
c
Let n = 122.8 - 127.8. Which is the closest to 21? (a) 2 (b) 3 (c) n (d) -2/17
b
Let g = 296 - 266. What is the closest to -1 in 4, g, 2/3?
2/3
Let t = -5.351 + 0.351. What is the nearest to -5 in -4, t, 5?
t
Let k = 0.1 - 0.1. Let b = 19.3 + -24.3. What is the nearest to k in 0.02, 0.2, b?
0.02
Let v = 5 + -8. Let h(f) = f**2 - 2*f - 4. Let u be h(4). Suppose -21 = u*b + b - 4*r, 2*r = -3*b - 17. What is the nearest to -1 in -2, v, b?
-2
Suppose -157*l = -108*l. Let m = -9 + 9. Which is the nearest to m? (a) 0.3 (b) l (c) -4
b
Let h = 13 + -11.8. Let a = 1.2 - h. Let y = a - -0.5. What is the nearest to 1/4 in 3, y, 1/7?
1/7
Let g = 257 + -252. What is the closest to -10 in g, 0.13, -1/7?
-1/7
Let d(t) = t**2 + 2*t - 10. Let v be d(3). Suppose v*u + 4 = 3*u. Which is the closest to -0.1? (a) -0.3 (b) -2/7 (c) u
b
Let v = -0.04 - 0.96. Let h = -23 - -32. Let f = h + -9.1. Which is the closest to v? (a) -2/5 (b) 1 (c) f
a
Let z = -0.1 - 0. Let j = 28 + -46. Let p be j/(-8) - (16 - 14). Which is the nearest to z? (a) -5 (b) p (c) 2/9
c
Let o = 45 - -1. Let n = o - 47. Which is the closest to 1? (a) -3/8 (b) n (c) 2/15
c
Suppose 3*v = -5*i + 12, -6*i + 5*v + 2 = -7*i. What is the nearest to 0.03 in 2, 2/5, i, -5?
2/5
Let x = 1303 - 1300. Which is the closest to 194? (a) -4 (b) 0.1 (c) x
c
Let j = -199 + 203. What is the nearest to 15 in j, 3, -1/5?
j
Let h = -3193 + 3217.51. Let p = 24 - h. Let l = 0.11 + p. What is the nearest to 1/2 in l, -5, 1/7?
1/7
Let b = -124 + 121.96. Let z = 0.04 + b. Let d = 1.19 + -0.19. What is the closest to d in -0.5, z, -1/7?
-1/7
Suppose 5*a + 9 = -2*i + 2*a, 0 = 5*i - 4*a - 12. What is the closest to -2.4 in -0.1, i, 1/3?
-0.1
Let l = 33.5 + -35. Which is the nearest to 2? (a) 1 (b) l (c) 0.2
a
Let o = 25/4 - 7. Let m = 188 - 100. Let c be 16/m - 20/(-11). What is the closest to o in c, -2, 4?
-2
Let m = -704 - -696.6. What is the closest to -1/2 in m, -1, -4?
-1
Let p = 42.25 + -42.3. Which is the closest to 0? (a) 0.4 (b) -4/3 (c) p
c
Let j = 3.85 - 3.79. What is the nearest to 1 in 18, -3/5, j?
j
Let d = -414 - -2900/7. Which is the closest to d? (a) -0.6 (b) -0.2 (c) 2
b
Let j = 0.155 + -0.49. Let k = j + 0.035. Which is the closest to -3? (a) k (b) 0.1 (c) -1
c
Let n = 169 - 164. What is the closest to 30 in -1/12, 4, -2, n?
n
Let n(x) = 4*x - 9. Let t be n(4). Suppose 0 = o - z - 3*z + t, -8 = -o - z. Which is the closest to -2/7? (a) 3 (b) 0 (c) o
b
Let t be (2/24)/(2/(-4)). Let d be (-3)/(25/(-10) + 4). Let v be (5/25)/(d/(-5)). Which is the nearest to 2? (a) t (b) 0 (c) v
c
Let m = -526.9 + 526. Which is the closest to m? (a) -0.1 (b) 1/2 (c) 2/7 (d) 3/7
a
Let p be 80/(-200) + (-56)/(-190). Which is the closest to p? (a) 4 (b) 3 (c) -0.3
c
Let u = -1 + 0.5. Let k = 18 - 18. Let n = 22 - 25. | {
"pile_set_name": "DM Mathematics"
} |
1810664 to the nearest integer?
1346
What is 10065 to the power of 1/4, to the nearest integer?
10
What is the fifth root of 12600740 to the nearest integer?
26
What is the square root of 5955362 to the nearest integer?
2440
What is 11341722 to the power of 1/3, to the nearest integer?
225
What is the square root of 291265 to the nearest integer?
540
What is 214799 to the power of 1/5, to the nearest integer?
12
What is the third root of 14122672 to the nearest integer?
242
What is the square root of 560675 to the nearest integer?
749
What is 32018 to the power of 1/2, to the nearest integer?
179
What is 3341875 to the power of 1/8, to the nearest integer?
7
What is the square root of 2193583 to the nearest integer?
1481
What is the third root of 17648867 to the nearest integer?
260
What is 2197329 to the power of 1/4, to the nearest integer?
39
What is the cube root of 17534861 to the nearest integer?
260
What is 368290 to the power of 1/3, to the nearest integer?
72
What is the square root of 400220 to the nearest integer?
633
What is 202855 to the power of 1/2, to the nearest integer?
450
What is the square root of 812794 to the nearest integer?
902
What is 198377 to the power of 1/2, to the nearest integer?
445
What is 17087624 to the power of 1/9, to the nearest integer?
6
What is 9435176 to the power of 1/9, to the nearest integer?
6
What is the fifth root of 1791242 to the nearest integer?
18
What is the fourth root of 24937585 to the nearest integer?
71
What is 5400507 to the power of 1/4, to the nearest integer?
48
What is 74502 to the power of 1/2, to the nearest integer?
273
What is the third root of 221665 to the nearest integer?
61
What is 2471076 to the power of 1/3, to the nearest integer?
135
What is 98231 to the power of 1/6, to the nearest integer?
7
What is 941863 to the power of 1/9, to the nearest integer?
5
What is the square root of 2507286 to the nearest integer?
1583
What is the fourth root of 745981 to the nearest integer?
29
What is 270121 to the power of 1/6, to the nearest integer?
8
What is 268617 to the power of 1/10, to the nearest integer?
3
What is the cube root of 963273 to the nearest integer?
99
What is 1161975 to the power of 1/10, to the nearest integer?
4
What is the sixth root of 442718 to the nearest integer?
9
What is 2755574 to the power of 1/6, to the nearest integer?
12
What is 64205 to the power of 1/9, to the nearest integer?
3
What is the third root of 76744 to the nearest integer?
42
What is 24338584 to the power of 1/2, to the nearest integer?
4933
What is the square root of 15905982 to the nearest integer?
3988
What is the square root of 249255 to the nearest integer?
499
What is 1943130 to the power of 1/4, to the nearest integer?
37
What is the fourth root of 1744720 to the nearest integer?
36
What is 18804027 to the power of 1/6, to the nearest integer?
16
What is the third root of 345214 to the nearest integer?
70
What is 206063 to the power of 1/6, to the nearest integer?
8
What is the third root of 288667 to the nearest integer?
66
What is the seventh root of 2689835 to the nearest integer?
8
What is the cube root of 1922505 to the nearest integer?
124
What is the cube root of 1636449 to the nearest integer?
118
What is the cube root of 345059 to the nearest integer?
70
What is the sixth root of 7615246 to the nearest integer?
14
What is 300570 to the power of 1/9, to the nearest integer?
4
What is 722199 to the power of 1/9, to the nearest integer?
4
What is 23800968 to the power of 1/3, to the nearest integer?
288
What is the fifth root of 10072700 to the nearest integer?
25
What is the cube root of 2926 to the nearest integer?
14
What is the fourth root of 952449 to the nearest integer?
31
What is 139283 to the power of 1/6, to the nearest integer?
7
What is 525855 to the power of 1/4, to the nearest integer?
27
What is the fifth root of 220068 to the nearest integer?
12
What is the tenth root of 8588 to the nearest integer?
2
What is 353133 to the power of 1/2, to the nearest integer?
594
What is 530556 to the power of 1/2, to the nearest integer?
728
What is 1914522 to the power of 1/3, to the nearest integer?
124
What is 244321 to the power of 1/9, to the nearest integer?
4
What is 77985 to the power of 1/8, to the nearest integer?
4
What is 416384 to the power of 1/6, to the nearest integer?
9
What is the third root of 364279 to the nearest integer?
71
What is 1987202 to the power of 1/4, to the nearest integer?
38
What is the cube root of 633329 to the nearest integer?
86
What is 667087 to the power of 1/3, to the nearest integer?
87
What is 5237876 to the power of 1/6, to the nearest integer?
13
What is 6711455 to the power of 1/3, to the nearest integer?
189
What is 1816158 to the power of 1/2, to the nearest integer?
1348
What is the eighth root of 104280 to the nearest integer?
4
What is 1689188 to the power of 1/4, to the nearest integer?
36
What is 45857 to the power of 1/8, to the nearest integer?
4
What is 267786 to the power of 1/3, to the nearest integer?
64
What is the square root of 1168348 to the nearest integer?
1081
What is the seventh root of 26037271 to the nearest integer?
11
What is the cube root of 25479 to the nearest integer?
29
What is the square root of 117736 to the nearest integer?
343
What is 2121193 to the power of 1/6, to the nearest integer?
11
What is the square root of 9730057 to the nearest integer?
3119
What is the square root of 4175543 to the nearest integer?
2043
What is the ninth root of 2099316 to the nearest integer?
5
What is 930912 to the power of 1/2, to the nearest integer?
965
What is the cube root of 241570 to the nearest integer?
62
What is the fifth root of 3356492 to the nearest integer?
20
What is 104210 to the power of 1/3, to the nearest integer?
47
What is the fourth root of 2085854 to the nearest integer?
38
What is the cube root of 463643 to the nearest integer?
77
What is 108186 to the power of 1/3, to the nearest integer?
48
What is 6564116 to the power of 1/3, to the nearest integer?
187
What is the cube root of 954810 to the nearest integer?
98
What is the tenth root of 149088 to the nearest integer?
3
What is 246145 to the power of 1/3, to the nearest integer?
63
What is the eighth root of 9280075 to the nearest integer?
7
What is 38771618 to the power of 1/3, to the nearest integer?
338
What is 8226087 to the power of 1/2, to the nearest integer?
2868
What is 1638875 to the power of 1/2, to the nearest integer?
1280
What is the square root of 664363 to the nearest integer?
815
What is the sixth root of 1079340 to the nearest integer?
10
What is 38629588 to the power of 1/3, to the nearest integer?
338
What is 222349 to the power of 1/8, to the nearest integer?
5
What is the square root of 539999 to the nearest integer?
735
What is the seventh root of 176624 to the nearest integer?
6
What is 9072860 to the power of 1/2, to the nearest integer?
3012
What is 7269298 to the power of 1/4, to the nearest integer?
52
What is 1112809 to the power of 1/3, to the nearest integer?
104
What is 1102138 to the power of 1/6, to the nearest integer?
10
What is the cube root of 11744369 to the nearest integer?
227
What is the tenth root of 1328853 to the nearest integer?
4
What is 2193945 to the power of 1/3, to the nearest integer?
130
What is the cube root of 1714536 to the nearest integer?
120
What is the fifth root of 546520 to the nearest integer?
14
What is the square root of 2685288 to the nearest integer?
1639
What is 1021382 to the power of 1/5, to the nearest integer?
16
What is the eighth root of 5788634 to the nearest integer?
7
What is the cube root of 32109978 to the nearest integer?
318
What is 3741556 to the power of 1/7, to the nearest integer?
9
What is 274368 to the power of 1/4, to the nearest integer?
23
What is the square root of 231187 to the nearest integer?
481
What is the ninth root of 20687658 to the nearest integer?
6
What is 378704 to the power of 1/5, to the nearest integer?
13
What is the sixth root of 3395011 to the nearest integer?
12
What is 642547 to the power of 1/3, to the nearest integer?
86
What is 5182012 to the power of 1/3, to the nearest integer?
173
What is 25893781 to the power of 1/2, | {
"pile_set_name": "DM Mathematics"
} |
*-6.51033
1.953099
What is -2 times -0.23046?
0.46092
What is the product of -41 and -130.11?
5334.51
Multiply -58154 and -1.
58154
0.23*36.615
8.42145
Work out 0.4 * 219568.
87827.2
-18.4 * 17.4
-320.16
Work out 138 * -14517.
-2003346
Product of -2 and -7.2139.
14.4278
Calculate 49239*-83.
-4086837
-411.1329 * 3
-1233.3987
-12437 times -5
62185
What is the product of -239 and 6679?
-1596281
What is -21447 times 48?
-1029456
-713 * -141
100533
0.07 * 0.9926
0.069482
-1275*1650
-2103750
Multiply -1016489 and 0.2.
-203297.8
What is 59.94 times 1?
59.94
-0.472 * 12
-5.664
Multiply -60 and -19771.
1186260
0.4 times -18.533
-7.4132
16707.34 times 3
50122.02
Work out -0.43 * 0.04158.
-0.0178794
What is 72 times 334.8?
24105.6
What is the product of 25.927 and 3.5?
90.7445
Product of -7.8 and -1191.
9289.8
Work out 0.00655 * 12.
0.0786
Product of 132 and 186.
24552
What is the product of 0.00894 and -0.27?
-0.0024138
What is the product of -101 and -227?
22927
2594727*-3
-7784181
Calculate -59344*-4.
237376
-873866 times -4
3495464
Calculate -37609*-21.
789789
Work out 311758 * 0.6.
187054.8
What is the product of 0.45833 and -0.5?
-0.229165
-2*16392
-32784
Product of 0.037 and 568.
21.016
-0.3 * 252137
-75641.1
What is the product of -38.58 and 0.4?
-15.432
3 times 186976
560928
84518*-1.9
-160584.2
1 * 357806
357806
What is the product of 0.64 and -99?
-63.36
-7.91 times 505
-3994.55
Calculate -3*-0.07792.
0.23376
Work out -5 * 10316.
-51580
-7126.5 times -0.5
3563.25
-0.4 times -39581
15832.4
What is the product of -560 and 0.7336?
-410.816
What is -153.6 times -46?
7065.6
Multiply -13.12 and 16.9.
-221.728
Product of -13 and -6932.
90116
27*14715
397305
What is -0.1 times -1.1121?
0.11121
Multiply -2 and 2941.
-5882
Work out 252101 * -0.03.
-7563.03
Product of 0.99583 and -0.2.
-0.199166
What is 292 times -0.0877?
-25.6084
Product of -146 and -1.6.
233.6
Multiply 2901.2 and 1.6.
4641.92
What is 0.9 times 992?
892.8
What is 0.1 times -531201?
-53120.1
Multiply -37 and -0.2056.
7.6072
37.222 * 4
148.888
-7.306*22
-160.732
What is 4.044 times 0.2?
0.8088
1.0781*-10
-10.781
0.1 * 1101547
110154.7
What is the product of 2217054 and -0.2?
-443410.8
Work out -22134 * 1.
-22134
Work out -0.24254 * 1.22.
-0.2958988
What is the product of -22419 and 8?
-179352
Work out -253346 * -0.5.
126673
-295.26 * 0.2
-59.052
28 * -1.744
-48.832
Calculate 121.01*3.
363.03
-0.08 times -60169
4813.52
Calculate -1.3*8710.
-11323
Calculate 2.19*-2632.
-5764.08
-3423.32 times -3
10269.96
8603 * 1
8603
-3256 * 0.21
-683.76
What is -2 times 1706.21?
-3412.42
-2.87 * -0.039
0.11193
755*-133
-100415
Work out 35 * 0.00405.
0.14175
Calculate -0.084751*0.2.
-0.0169502
-122.35*111
-13580.85
What is the product of -92 and -628?
57776
Product of 0 and -0.00334.
0
Product of 43786 and 0.
0
-1231 * 55
-67705
Work out 0.3 * 24.946.
7.4838
What is the product of -3 and 70972?
-212916
Multiply 0.2 and -263646.
-52729.2
Product of 19.1 and -587.
-11211.7
What is -177 times 0.057?
-10.089
113 * 272
30736
Multiply -851452 and -0.5.
425726
What is 133.2 times 424?
56476.8
What is 1573.3 times -5?
-7866.5
What is the product of 698291 and -1?
-698291
Product of 79 and 33307.
2631253
Multiply -0.1 and -54950.
5495
Product of -0.1 and 4213.
-421.3
-87348 * 5
-436740
Product of -2.1 and -0.3624.
0.76104
2151 * 0.276
593.676
Work out 7 * -3165.
-22155
Calculate 297446*-6.
-1784676
Calculate 103162*0.3.
30948.6
Calculate -1796880*-1.
1796880
Calculate 0.1367*44.
6.0148
Product of -4303 and -0.4.
1721.2
-0.42*2005
-842.1
0.16*0.196091
0.03137456
-0.08 times 0.0731
-0.005848
Product of -11464.6 and -0.5.
5732.3
Product of 1.021 and -251.5.
-256.7815
-253.47*-0.4
101.388
-0.21*2321
-487.41
What is the product of 4 and -8.4527?
-33.8108
Calculate 106*-9.669.
-1024.914
-425.368*3
-1276.104
Multiply -532.1 and 0.109.
-57.9989
-0.2 times 0.5849
-0.11698
What is the product of -89449 and 3?
-268347
Product of 3094 and 29.
89726
Product of 0.097 and 301.6.
29.2552
Work out 0.211 * 2173.
458.503
-21486 times 0
0
What is 4 times 1.3837?
5.5348
-2 times 189149
-378298
Work out 1057 * 82.
86674
Product of -17663 and -0.03.
529.89
Calculate -21449*-2.
42898
0.5144671 * 1
0.5144671
Work out 1.14 * 205.
233.7
Product of 118.7459 and 0.1.
11.87459
What is 0.03285 times -14?
-0.4599
-6 * -0.12808
0.76848
Calculate -127.06*-316.
40150.96
Product of 0.4 and -26739.
-10695.6
Multiply -3819 and -41.
156579
Calculate 45542*3.
136626
Multiply -0.00534 and 0.022.
-0.00011748
Multiply -5 and 666.
-3330
Work out -0.5 * 281935.
-140967.5
Multiply 2 and -1.9247.
-3.8494
What is the product of 5 and 52.924?
264.62
Calculate 0.362*-4.05.
-1.4661
Product of 16.2813 and 0.3.
4.88439
What is 1 times 15542?
15542
Calculate 0.1*16447.
1644.7
-97 * -23361
2266017
-0.16*-2.222
0.35552
91.14 * -0.15
-13.671
-0.133 times -809
107.597
What is -1.7 times -3605?
6128.5
Product of -3 and -325494.
976482
4*113390
453560
What is the product of -6184 and 0.1?
-618.4
Work out 16 * -2117.
-33872
-0.2 times 21720
-4344
9 * -20455
-184095
What is the product of 0.5 and -0.03605?
-0.018025
What is -2742 times -0.7?
1919.4
Product of 211649 and -5.
-1058245
What is the product of -2.547234 and -0.3?
0.7641702
0.1 * -0.02475
-0.002475
Calculate 0.0272*1.
0.0272
What is the product of -1.2 and 6112?
-7334.4
Product of -0.2646 and 0.6.
-0.15876
What is the product of -0.3 and 15.656?
-4.6968
Product of 0.374 and 0.01.
0.00374
175922 * 0
0
-1805 * -5
9025
What is the product of -40.76 and -1?
40.76
Calculate 8596*-0.08.
-687.68
Calculate 5.5*-0.00723.
-0.039765
What is -0.3 times 281098?
-84329.4
0.0067 * 0.308
0.0020636
Calculate -1265*-0.1.
126.5
What is 0.03 times -0.0752396?
-0.002257188
Work out 5.85 * 0.39.
2.2815
Calculate 355620*3.
1066860
-29 * 11.51
-333.79
1 * -13193
-13193
Multiply 1273 and 0.1.
127.3
What is -262.7 times -10?
2627
Product of -18 and -37.
666
-4.87*-1727
8410.49
Product of -3 and 2653.
-7959
Multiply 0.2 and 378842.
75768.4
Work out 266.4 * -0.7.
-186.48
Calculate -3461*-0.02.
69.22
1 times 1313
1313
-1.631 * 223
-363.713
What is the product of -1.1 and -10151?
11166.1
2118.83 * -0.5
-1059.415
Product of 2 and 95692.
191384
Multiply -259 and 0.3902.
-101.0618
What is 228.1 times 2?
456.2
-4.813*0.195
-0.938535
-0.3*-44544
13363.2
Multiply 11 and -30880.
-339680
-876*544
-476544
What is 0.182 times 367.7?
66.9214
1120 times -89
-99680
-10*1852
-18520
0.35 * 0.0277
0.009695
What is -0.03 times 0.16675?
-0.0050025
Calculate 10*-2.4179.
-24.179
Product of 1.9 and -13.38.
-25.422
17.1 * -0.216
-3.6936
Multiply -1.878 and 1912.
-3590.736
What is the product of -18126.92 and -0.5?
9063.46
Multiply -0.0225 and 123.4.
-2.7765
-1*-29461
29461
What is 33.0802 times -3?
-99.2406
What is the product of 127 and 520?
66040
Product of -5.6505 and 15.
-84.7575
Multiply 167638 and -9.
-1508742
Product of 1.5 and 670.
1005
-0.7 times -1.6766
1.17362
-335.7*-0.167
56.0619
Work out 2 * 83235.
166470
Product of 80089 and -0.08.
-6407.12
-0.4 * -2563.8
1025.52
Multiply 7939 and -7.
-55573
-4*-153121
612484
Multiply 162.8 and 1.
162.8
Product of 5.1 and 4.776.
24.3576
Multiply 1008.7 and -1.2.
-1210.44
63855*-0.05
-3192.75
2740.1*-13
-35621.3
4 * -252899
-1011596
Multiply 373 and 0.84.
313.32
Multiply -50 and -4958.
247900
What is 0.2 times -3035?
-607
Product of -13 and 0.232748.
-3.025724
Calculate -4*1187.195.
-4748.78
What is the product of -1.98 and -541?
1071.18
-2341588*-4
9366352
Multiply 3 and -715788.
-2147364
10212*2
20424
Calculate 42.34*11.
465.74
93 * 38.1
3543.3
Work out 0.264 * 102.
26.928
What is the product of -5 and -45581?
227905
Work out 677778 * -2.
-1355556
Multiply -0.5 and 2.177.
-1.0885
What is the product of 369 and -127.6?
-47084.4
Multiply 2 and 144.61.
289.22
Product of -159175 and 0.
0
Work out 4.029 * -27.
-108.783
What is -0.89721 times -0.1?
0.089721
58*5451
316158
Calculate 44*1193.
52492
Product of -91.7 and 23.
-2109.1
-80170 * 0.03
-2405.1
Multiply 4.46 and -0.183.
-0.81618
Product of 3003 and -0.629.
-1888.887
-117 * 162
-18954
Calculate 1249*0.195.
243.555
What is -0.1 times 0.080556?
-0.0080556
Product of 47825 and -0.5.
-23912.5
120822 * 0.2
24164.4
36312*0.08
2904.96
Multiply -7 and -0.030933.
0.216531 | {
"pile_set_name": "DM Mathematics"
} |
-7/6
Evaluate (-3)/45*-2*(-231)/22.
-7/5
2/(-2)*1*(-9)/(135/165)
11
What is ((-2568)/3424)/(26/8)?
-3/13
Evaluate ((-70)/(7350/(-45)))/(((-2)/(-7))/2).
3
What is -1*(-27)/2*(-204)/(-459)?
6
What is 648/(-108)*3/(-15)?
6/5
What is the value of (-10)/105*(-9)/(-30)*70/28?
-1/14
What is the value of (((-4)/(-3))/(-4))/((-675)/74925)?
37
8/4*169/65*(-10)/(-4)
13
Calculate (-240)/(-72)*(6/8)/(-1)*4.
-10
((-1)/6)/(50/40)
-2/15
What is the value of (((-550)/165)/((-10)/6))/((-14)/(-119))?
17
Calculate 7*(-45)/(-6)*12/63.
10
Evaluate (-5000)/1750*((-4)/(-10))/(4/35).
-10
What is (-2)/3*(-432)/480?
3/5
What is (95/1045)/(9/(-18))?
-2/11
What is (-16)/792*-9*7/21?
2/33
Calculate ((-4)/26)/((-344)/559)*-6.
-3/2
What is the value of (-9)/(135/(-140))*(-48)/28?
-16
Calculate 4*((-5)/20)/((-4)/(-100)).
-25
Calculate 14/(-24)*(-1056)/3696.
1/6
Evaluate 7/6*((-1056)/(-4))/44.
7
What is the value of (-4)/(-5)*(-8)/(56/105)?
-12
What is the value of 3/(-6)*21/210*-52?
13/5
What is the value of 3/9*0/(-22)?
0
(-2620)/917*14/(-5)
8
Calculate 3*2/9*(-26466)/(-802).
22
What is the value of ((-12)/(-10)*10/(-5))/(6/40)?
-16
Calculate 2*3/(-3)*645/86.
-15
45/(-7)*(26/10)/13
-9/7
Evaluate 84/48*((-432)/(-4))/9.
21
Calculate (-1)/2*48/48.
-1/2
What is ((486/(-12))/(-27))/10*(-2)/3?
-1/10
Evaluate -9*2*26/(-624).
3/4
Calculate 1/((-5)/1)*(-430)/258.
1/3
What is the value of (-12*(-5)/(760/4))/6?
1/19
What is the value of ((-10)/1)/(5/(-630)*-35*-3)?
12
What is the value of ((-3)/((-924)/(-8)))/((143/(-13))/154)?
4/11
Evaluate (64/(-18))/(3*1/(-27)).
32
220/11*8/(192/30)
25
(-388)/(-2134)*231/7
6
What is the value of (23/46)/(5/(-60))?
-6
Evaluate ((-2)/(-4))/((-26)/520*-155).
2/31
Calculate 25/(-30)*(-29)/((-319)/66).
-5
4*-6*6/(-360)*5
2
Evaluate (8/114)/((-6)/15*35/21).
-2/19
348/2030*5/(-6)*-4
4/7
Evaluate 6/33*(-517)/(-940)*45/12.
3/8
What is (((-2)/4)/(4*7/56))/9?
-1/9
What is the value of 1/((147/(-98))/(207/(-6)))?
23
What is (-483)/(-12)*(-146)/(-1022)?
23/4
18/8*(4200/3570)/(6/34)
15
What is the value of (1515/(-606))/(6/4)?
-5/3
-6*-63*(-12)/324
-14
Calculate ((-91)/14)/13*(-13)/(-39)*78.
-13
What is the value of (19/19)/(4/(-26))?
-13/2
What is the value of (-4)/(-3)*-6*-1?
8
((-14)/49)/(3*5/315)
-6
Evaluate 14/20*(-1)/(-2)*2/(-7).
-1/10
What is the value of 5/(-5)*((-11)/((-88)/(-16)))/6?
1/3
((-2)/(-152)*4)/(5*(-5)/25)
-1/19
What is ((-5)/4)/(365/(-584))?
2
Evaluate ((3502/(-309))/(2/3))/(1/1).
-17
((75/(-90))/(15/(-27)))/(72/(-672))
-14
Calculate 9/(-143)*(-6864)/(-1872).
-3/13
Calculate 25/475*-19*4/(-6).
2/3
Evaluate 6/(((-567)/18)/7*12/(-27)).
3
Evaluate (303/(-505))/((63/48)/7).
-16/5
Calculate ((-22)/77*(-84)/(-30))/(40/4).
-2/25
What is the value of (((-2)/8)/1)/(18/72)?
-1
(((-45)/30)/1)/((-1)/(-6))
-9
Evaluate 13/((-325)/40)*15/18*-1.
4/3
Evaluate 3/(-6)*(8/(-342))/((-50)/225).
-1/19
What is the value of 859/6013*5*2/(-2)?
-5/7
Evaluate (6/(-42))/(72/252).
-1/2
(4/(-4))/((2/(-190))/((-286)/(-1430)))
19
((-9)/(1710/(-38)))/(4/10)
1/2
What is (-5*4*(-289)/204)/(5/3)?
17
Calculate (6165/274)/((-9)/6).
-15
((-7)/(-1))/(-12*(-252)/14256)
33
What is 19/209*-11*20/1?
-20
(((-370)/(-20))/(-37))/((-2)/16)
4
What is the value of (2380/2142)/(16/(-54)*-3)?
5/4
((-6)/(-126)*(-28)/(-8))/((-495)/(-270))
1/11
What is the value of 3/((6/(-9))/((-20)/(-42)))?
-15/7
Calculate ((-48)/(-10))/((9/(-35))/((-252)/147)).
32
Evaluate ((-60)/425)/((-18)/135*3).
6/17
(((-272)/17)/80)/((-4)/30*-6)
-1/4
What is (548/(-822))/((-24)/(-2))?
-1/18
Evaluate (40/5)/8*1/(-11).
-1/11
What is the value of ((-2)/32*-9)/(((-7857)/(-108))/97)?
3/4
Evaluate -4*1*(-2)/4*(-797)/(-39850).
1/25
Calculate (-6)/(-9)*(-243)/(-27).
6
(2/(27*2))/((-391)/(-7038))
2/3
What is (-6318)/(-468)*3/(-189)?
-3/14
Calculate 4/(-50)*125/125.
-2/25
What is (-51)/(-17)*111/(-9)?
-37
Evaluate 1/((-21)/(-2415)*-5).
-23
What is (((-4)/(-10))/(18/(-126)))/((-12)/60)?
14
((-2)/(-9))/((-4320)/(-3240))
1/6
What is the value of ((-1)/((-42)/8))/((-130)/(-1001)*11)?
2/15
Evaluate ((2/4)/(5/80*4))/(-4).
-1/2
What is (48/(-9))/(274/822)?
-16
Evaluate ((91/(-42))/(-1))/(((-3)/(-18))/1).
13
What is 14*3/6*120/(-1540)?
-6/11
Calculate (((-42)/(-3))/7)/(24/(-10)).
-5/6
What is the value of 25/(-15)*(-2)/6*2484/(-138)?
-10
Evaluate ((-1230)/(-984))/(25/20*2/(-40)).
-20
Calculate ((-25)/6)/((-350)/840).
10
What is (1453/(-11624))/((2/12)/((-3)/(-6)))?
-3/8
What is 5/(-85)*(-2)/24*-12?
-1/17
(176/(-77))/(116/609)
-12
What is (-8)/(-6)*8/80*-3?
-2/5
What is the value of 3*8/(384/(-40))*(-4)/25?
2/5
What is (714/(-119))/(3*8/6)?
-3/2
(69/6)/(((-2)/(-6))/((-54)/81))
-23
Calculate (1590/(-1060))/(147/4).
-2/49
((-220)/(330/(-15)))/(((-50)/8)/(-5))
8
What is (2502/(-113841))/(8/13)?
-1/28
Evaluate 2*(-9)/15*(-130)/156.
1
Evaluate ((-20)/(-70))/((-13)/((-7098)/(-12))).
-13
What is (12012/616)/(3*1/(-4))?
-26
Evaluate (4/(-3))/((-859)/(-5154)).
-8
Calculate 90/(-108)*3*34/(-5)*1.
17
(-5)/(-4)*46*(-195)/((-71175)/146)
23
((-36)/1170)/((-1)/(-80)*-4)
8/13
Calculate (0*2/(-2))/(7/28*-20).
0
((-6930)/(-84))/5*(-3)/9*2
-11
What is (414/36)/23*16?
8
Calculate (2/50)/((-92)/(-3220)).
7/5
What is the value of ((-4)/(-4))/(((-391)/46)/17)?
-2
Calculate ((270/15)/(-9))/(((-64)/56)/(-8)).
-14
What is the value of 0/(-64)*1/4*2*-1?
0
What is (1302/98)/(213/497)?
31
(36/80)/((12/(-375))/((-100)/(-750)))
-15/8
What is the value of ((28/(-343))/1)/((-13)/((-273)/(-6)))?
2/7
5/((-5)/136)*(-44)/(-352)
-17
What is (-12)/(-16)*12/(-216)*6?
-1/4
What is the value of (-182273)/8012*((-32)/(-14))/(-2)?
26
What is 15/11*4/10?
6/11
Calculate (2/6)/((2/4)/((-180)/120)).
-1
((1/6)/((-44)/16))/(120/360)
-2/11
What is ((-49)/((-196)/(-6)))/((-2)/8)?
6
What is (91/30)/13*-2*192/(-224)?
2/5
Calculate 4/86*(1495/23)/65.
2/43
Calculate ((-35)/(1820/247))/(3/12).
-19
((-46)/(-12))/(43*(-25)/(-2150))
23/3
Evaluate 30/(-36)*(-9)/10*23/(-69).
-1/4
What is the value of ((-13)/(273/(-14)))/(60/2610)?
29
Calculate 3*(6/9)/((-5)/((-20)/(-6))).
-4/3
Calculate (11/165)/((2/24)/(17/34)).
2/5
What is -2*10/15*(-93)/310?
2/5
What is the value of 20/4*60/24*2?
25
Evaluate (16*24/256)/((-3)/(-4)).
2
What is the value of (-924)/(-1155)*(-50)/(-8)?
5
Evaluate ((-1)/(-26))/((-22)/(-1056)*12).
2/13
Evaluate (-1)/(-1)*59/(1298/(-308)).
-14
Evaluate ((-920)/(-5520))/((-2)/18).
-3/2
Evaluate ((-5)/((-30)/(-64)))/((-8)/(-12)).
-16
Calculate ((-30)/(-60))/((9/(-66))/3).
-11
Calculate (1/30)/((-9)/81).
-3/10
What is the value of ((-17)/(-7))/(((-29)/(-203))/1)?
17
Calculate (-6)/7*(343/196)/((-1)/2).
3
Calculate 58/696*(1/5)/((-24)/180).
-1/8
What is the value of (((-1)/9)/(12/90))/(70/(-224))?
8/3
Calculate (-8)/(-30)*-15*(-22)/1320.
1/15
What is the value of (150/(-1100)*-11)/((-33)/(-6))?
3/11
Calculate (-15)/(1350/80)*4/(16/3).
-2/3
What is (-66)/242*(-36)/(-6)?
-18/11
Evaluate ((-2110)/(-1688))/(125/8).
2/25
Calculate 6/(-60)*4*35/(-1).
14
(9324/(-3552))/(6/4)
-7/4
What is 3/3*30/(-4)*(-120)/(-45)?
-20
Calculate 84/(-70)*(-5)/(-11)*8/8.
-6/11
Calculate ((-610)/(-70760))/((-1)/(-8*1)).
2/29
(-38)/(-76)*240/(-8)
-15
Evaluate (5/(-50))/(7/(-10)).
1/7
((-2)/(-3))/(34/1071)
21
What is the value of ((-1)/(-2))/(((-450)/220)/(-45))?
11
What is -9*((368/84)/(-23))/((-3)/(-7))?
4
What is the value of 1/(2/(-14))*((-2516)/(-1428))/(-37)?
1/3
Evaluate 1/(-70*26/91).
-1/20
((-13)/((-546)/(-12))*-7)/(6/27)
9
What is the value of 1/(18/((-2520)/10))?
-14
What is (119/34)/((-217)/31)?
-1/2
Calculate 21/((-5*(-6)/(-42))/((-10)/(-105))).
-14/5
((-4)/27)/((-180)/432*-8)
-2/45
((-210)/20)/(168/(-48))
3
247/418*60/65
6/11
What is the value of (-16)/12*(-96)/(-224)?
-4/7
Calculate ((-8)/(-108))/((128/448)/((-9)/(-14))).
1/6
Evaluate 31/(15500/160)*(-5)/(-4).
2/5
What is (-177)/(-118)*1/3*(-8)/6?
-2/3
What is the value of 3/((-16)/((-16)/3))?
1
What is the value of ((-143)/(-6435))/((-15)/(-50))?
2/27
Calculate ((-9)/84)/(639/(-8520)).
10/7
What is (-477)/159*(-2)/(-30)*-11?
11/5
((-132)/(-88))/(81/(-24))
-4/9
What is the value of (((-5)/(-15))/((-1)/3))/((-4)/24)?
6
Calculate 35/(-490)*12*1*(-2)/48.
1/28
What is the value of (9/45)/(25/(-1750))?
-14
What is 46/(-115)*(25/(-19))/5?
2/19
Calculate (6/76)/(864/1152).
2/19
What is 0/(64/288*-18)?
0
What is 32*1/22*-11?
-16
Calculate (1176/392)/((-13)/2).
- | {
"pile_set_name": "DM Mathematics"
} |
33
List the prime factors of 405653.
233, 1741
List the prime factors of 23570256.
2, 3, 569, 863
What are the prime factors of 163641?
3, 54547
List the prime factors of 731315.
5, 13, 11251
What are the prime factors of 1722459?
3, 113, 5081
What are the prime factors of 731780?
2, 5, 7, 5227
List the prime factors of 8988412.
2, 2247103
List the prime factors of 325864.
2, 7, 11, 23
What are the prime factors of 1574836?
2, 393709
List the prime factors of 7689787.
7, 1098541
List the prime factors of 263299.
251, 1049
List the prime factors of 14695672.
2, 1836959
List the prime factors of 3466327.
31, 3607
List the prime factors of 222694.
2, 111347
List the prime factors of 935917.
29, 59, 547
List the prime factors of 118841.
23, 5167
What are the prime factors of 6552399?
3, 7, 67, 4657
What are the prime factors of 818108?
2, 17, 53, 227
List the prime factors of 4178338.
2, 2089169
What are the prime factors of 170668?
2, 42667
What are the prime factors of 13168884?
2, 3, 127, 8641
What are the prime factors of 711125?
5, 5689
List the prime factors of 19729.
109, 181
What are the prime factors of 5951148?
2, 3, 7, 29, 349
What are the prime factors of 647450?
2, 5, 23, 563
What are the prime factors of 14303193?
3, 59, 80809
List the prime factors of 215551.
7, 53, 83
List the prime factors of 3132991.
23, 136217
List the prime factors of 31278148.
2, 11, 710867
What are the prime factors of 2006?
2, 17, 59
What are the prime factors of 248846?
2, 13, 17, 563
What are the prime factors of 12549126?
2, 3, 2091521
What are the prime factors of 150282?
2, 3, 11, 23
What are the prime factors of 2133690?
2, 3, 5, 13, 5471
List the prime factors of 1975688.
2, 11, 13, 157
List the prime factors of 7115976.
2, 3, 7, 2017
List the prime factors of 260465.
5, 113, 461
List the prime factors of 151163.
151163
What are the prime factors of 1022791?
7, 11, 37, 359
List the prime factors of 18126.
2, 3, 19, 53
What are the prime factors of 304029?
3, 11, 37, 83
List the prime factors of 10727570.
2, 5, 7, 21893
List the prime factors of 9270013.
1049, 8837
What are the prime factors of 254088?
2, 3, 3529
What are the prime factors of 543534?
2, 3, 157, 577
List the prime factors of 435691.
293, 1487
What are the prime factors of 597543?
3, 199181
List the prime factors of 1048962.
2, 3, 79, 2213
What are the prime factors of 11226621?
3, 7, 534601
List the prime factors of 2836045.
5, 567209
What are the prime factors of 776400?
2, 3, 5, 647
List the prime factors of 341343.
3, 17, 23, 97
List the prime factors of 4916828.
2, 7, 175601
List the prime factors of 16610737.
11, 13, 116159
List the prime factors of 3716054.
2, 607, 3061
What are the prime factors of 571206?
2, 3, 31, 37, 83
What are the prime factors of 170017?
17, 73, 137
List the prime factors of 1599301.
11, 145391
What are the prime factors of 200268?
2, 3, 5563
List the prime factors of 792907.
792907
What are the prime factors of 659220?
2, 3, 5, 10987
What are the prime factors of 424993?
113, 3761
What are the prime factors of 633964?
2, 17, 9323
What are the prime factors of 787231?
521, 1511
What are the prime factors of 1071377?
1071377
What are the prime factors of 82157?
29, 2833
What are the prime factors of 7974218?
2, 7, 281, 2027
List the prime factors of 604549.
11, 54959
List the prime factors of 703837.
703837
List the prime factors of 17113.
109, 157
List the prime factors of 588501.
3, 23, 2843
List the prime factors of 174295.
5, 11, 3169
List the prime factors of 16726233.
3, 821, 6791
What are the prime factors of 1621073?
83, 19531
List the prime factors of 98074.
2, 49037
What are the prime factors of 1202392?
2, 150299
What are the prime factors of 42427?
7, 11, 19, 29
List the prime factors of 599450.
2, 5, 19, 631
What are the prime factors of 1050279?
3, 350093
List the prime factors of 974624.
2, 7, 19, 229
List the prime factors of 7203175.
5, 7, 41161
List the prime factors of 2611654.
2, 61, 21407
What are the prime factors of 250889?
250889
List the prime factors of 499464.
2, 3, 7, 991
List the prime factors of 272868.
2, 3, 22739
What are the prime factors of 3193692?
2, 3, 37, 7193
What are the prime factors of 2047856?
2, 149, 859
List the prime factors of 16855.
5, 3371
What are the prime factors of 1354375?
5, 11, 197
List the prime factors of 7179532.
2, 47, 38189
What are the prime factors of 309569?
13, 23813
List the prime factors of 256149.
3, 53, 179
What are the prime factors of 114205?
5, 7, 13, 251
What are the prime factors of 303688?
2, 7, 11, 17, 29
List the prime factors of 3769041.
3, 1256347
What are the prime factors of 146862?
2, 3, 41, 199
List the prime factors of 7835453.
17, 37, 12457
List the prime factors of 2448939.
3, 307, 2659
What are the prime factors of 4556105?
5, 19, 199, 241
What are the prime factors of 197089?
197089
List the prime factors of 2157090.
2, 3, 5, 13, 5531
What are the prime factors of 385060?
2, 5, 13, 1481
What are the prime factors of 2201890?
2, 5, 220189
List the prime factors of 340753.
7, 48679
List the prime factors of 523519.
523519
What are the prime factors of 318502?
2, 163, 977
List the prime factors of 1135981.
7, 11, 14753
What are the prime factors of 95138?
2, 47569
What are the prime factors of 228122?
2, 167, 683
What are the prime factors of 15817788?
2, 3, 7, 61
What are the prime factors of 55542?
2, 3, 9257
List the prime factors of 62955.
3, 5, 1399
What are the prime factors of 1365340?
2, 5, 19, 3593
What are the prime factors of 2550422?
2, 7, 67, 2719
List the prime factors of 2157632.
2, 33713
What are the prime factors of 11637944?
2, 1454743
List the prime factors of 246667.
31, 73, 109
List the prime factors of 1306141.
449, 2909
List the prime factors of 199831.
199831
What are the prime factors of 29423751?
3, 7, 1401131
List the prime factors of 25853867.
13, 1988759
What are the prime factors of 1992828?
2, 3, 71, 2339
What are the prime factors of 30026318?
2, 7, 17, 67, 269
List the prime factors of 7175551.
7175551
What are the prime factors of 747407?
747407
What are the prime factors of 244941?
3, 81647
List the prime factors of 5606.
2, 2803
List the prime factors of 2339483.
443, 5281
What are the prime factors of 67861?
79, 859
What are the prime factors of 253988?
2, 7, 47, 193
What are the prime factors of 2740010?
2, 5, 7, 13, 3011
List the prime factors of 6954439.
6954439
What are the prime factors of 292115?
5, 37, 1579
List the prime factors of 2095939.
37, 1531
List the prime factors of 1118562.
2, 3, 41, 4547
List the prime factors of 1269345.
3, 5, 7, 11, 157
List the prime factors of 27912.
2, 3, 1163
List the prime factors of 1542959.
11, 140269
What are the prime factors of 7595413?
7, 17, 83, 769
What are the prime factors of 898187?
19, 41, 1153
What are the prime factors of 3614267?
3614267
What are the prime factors of 656432?
2, 7, 5861
List the prime factors of 356620.
2, 5, 11, 1621
List the prime factors of 1246756.
2, 7, 6361
What are the prime factors of 2921170?
2, 5, 7, 29, 1439
What are the prime factors of 8931247?
13, 687019
List the prime factors of 3080994.
2, 3, 7, 109, 673
List the prime factors of 124363.
124363
What are the prime factors of 942661?
942661
What are the prime factors of 7186094?
2, 3593047
What are the prime factors of 2750183?
1489, 1847
List the prime factors of 30122.
2, 15061
List the prime factors of 19175436.
2, 3, 7, 47, 1619
List the prime factors of 391642.
2, 59, 3319
List the prime factors of 296614.
2, 43, 3449
List the prime factors of 2104021.
2104021
List the prime factors of 1358743.
1358743
List the prime factors of 12220789.
7, 31, 199, 283
What are the prime factors of 5742076?
2, 1435519
List the prime factors of 116997.
3, 59, 661
What are the prime factors of 708793?
67, 71, 149
List the prime factors of 3456513.
3, 139, 307
What are the prime factors of 1601475?
3, 5, 131, 163
List the prime factors of 3976644.
2, 3, 7, 6763
List the prime factors of 9374075.
5, 257, 1459
What are the prime factors of 233746?
2, 73, 1601
List the prime factors of 160351.
41, 3911
What are the prime factors of 2450101?
223, 10987
List the prime factors of 18318095.
5, 17, 215507
List the prim | {
"pile_set_name": "DM Mathematics"
} |
9 = 0. Solve j + 12 = m*j for j.
3
Let h(z) = 2*z**2. Let a be h(1). Let u(f) = -4*f + 163. Let l be 30/((-5)/(20/(-3))). Let m be u(l). Solve a = -m*b + 5 for b.
1
Let i be 54/27 + (2 - (1 + -1)). Suppose 4*t + 16 + 4 = -3*s, -4*s - t = 18. Let x(p) = -p**3 - 3*p**2 + 3*p + 6. Let g be x(s). Solve -10 = -i*z + g for z.
5
Let t(l) = -16*l - 78 - 3*l - 189 + 7. Let a be t(-14). Solve -4*h - 26 = -a for h.
-5
Suppose -551 - 609 = -58*o. Solve 0*i - 100 = -o*i for i.
5
Let i = -67 - -113. Suppose 47*p = i*p + 8. Let z be ((-6)/(-10))/((-1)/(-5)). Solve z*q + p = -q for q.
-2
Suppose -b = -s - 9, -11 = 4*b - 3*b + 3*s. Suppose 0*n = b*n - 5*w + 119, -4*n - 120 = -4*w. Let u = 36 + n. Solve u - 4 = -a for a.
-1
Let v = 2401 - 2499. Let x be (-1)/(-3) + 885/(-9). Let c = v - x. Solve 15 = -3*k - c for k.
-5
Let j be (576/48)/(4/(-3)) + 324. Solve j = 45*c + 18*c for c.
5
Let v(p) = p**2 - 15*p - 34. Suppose -9 = 3*b, 5*w - 17*b + 13*b - 102 = 0. Let s be v(w). Solve -s = 2*f + 2*f for f.
-5
Let m(o) = -o**3 - 6*o**2 + 10*o + 130. Let j be m(-6). Solve 48 - j = 11*s for s.
-2
Let y be (-4)/(-42) - (34 + 33198/(-693)). Solve 0 = 3592*l - 3594*l - y for l.
-7
Let h(k) = 26*k**3 - 2*k**2 + k. Let i(p) = -p**3 - 7*p**2 - 3*p + 19. Let z be i(-6). Let t be h(z). Let q be 2/7 + 520/91. Solve 0 = q*m - m - t for m.
5
Let f be ((-228)/(-60))/(3/30). Solve -20*b + f = 98 for b.
-3
Suppose 123*d - 126*d + 287 = -289. Solve -19*j - d = 13*j for j.
-6
Let v = -389 + 705. Let r = -296 + v. Solve r*w - 25*w = 15 for w.
-3
Let s be (-4)/3*(6 + 30/(-1)). Let u be (-31 + s)/((-1)/(-2)). Solve -u*i + 15 - 19 = 0 for i.
-2
Suppose -984 = 3*w - 23*w - 4*w. Solve 100 = 16*t - w*t for t.
-4
Let a(j) = 55*j + 390. Let w be a(-7). Suppose 3*k = -3*p + 4 - 10, -k = -w*p - 10. Solve -7 + k = 7*f for f.
-1
Let x(a) = a + 3. Let i(f) = -f**2 - 11*f - 22. Suppose 9*l = 11*l + 8. Let d be i(l). Let b be x(d). Solve -4*q - 7 = b for q.
-4
Let a be (1/(-4)*4)/(2/(-4)). Suppose 8 = w - a. Solve 0 = 2*g - w + 4 for g.
3
Let u be (472/32 - 2)/(3/4). Suppose -u*d + 25 + 9 = 0. Solve -8 = -d*l - 6 for l.
1
Let s(n) = -n - 25. Let r be s(-25). Let u(a) = -8*a + 5. Let v be u(r). Solve v*i = -5 - 5 for i.
-2
Suppose -4 = 2*q - 5*a - 42, 0 = 5*a. Suppose -z - 4*l + 4 = 0, -5*l = 20*z - q*z - 3. Solve -3 = 11*m - z*m for m.
-1
Suppose 5*r = -4*t - 91 + 76, 12 = -4*r. Let u = 250 - 245. Solve t = -m + 4 - u for m.
-1
Suppose -322*l - 35 = -327*l. Solve 63*z = 56*z + l for z.
1
Let m be 2/(-7) - 30/(-7). Suppose -3*n - 15 = 0, -m*r - 3*n + 3 = 10. Let b(x) = x**3 - 13*x**2 - 15*x + 15. Let z be b(14). Solve 0 = 3*o + r + z for o.
-1
Let k = 108 - 54. Suppose 282 = 6*d + k. Let q = 46 - d. Solve -33 + q = 5*o for o.
-5
Let m be (0 - 8/(-5))/((-9)/(-225)). Suppose -p = -3*s + m, -3*s + 0*p + 32 = p. Let b be ((14/4)/7)/(3/s). Solve b*w - 20 = 7*w for w.
-4
Let f(u) = -u**2 + 2*u + 38. Let h be f(7). Suppose 19*o + h = 20*o. Solve -o*r = -5*r for r.
0
Suppose -m + 46 = 42. Let z be 0 - m/((1 - -7)/(-4)). Suppose 5*v = -z*v + 35. Solve -2*x - 15 + v = 0 for x.
-5
Let r = -119 + 124. Suppose -12*b - 5*q - 35 = -17*b, 5*q = -5*b + r. Solve -11 = -b*v + 5 for v.
4
Suppose -k + 4 + 32 = 0. Suppose 0 = -16*v - v + 204. Suppose v - k = -8*a. Solve a*t = -t - 16 for t.
-4
Let i(h) = -2*h**2 + 341*h - 12320. Let m be i(52). Suppose -q = -5*q + 100. Solve g + q = -m*g for g.
-5
Suppose -4*b - 2*k + 7*k = -58, -5*k - 75 = -5*b. Suppose -b*g = -14*g. Suppose -5*o = -5*d, -3*o + 4*d - 1 = 3. Solve -4*u - o = -g*u for u.
-1
Let r(n) = 4*n - 7*n**2 - 2 - 22 - n + 3 + n**3. Let d be r(7). Solve 2*h + 1 - 3 = d for h.
1
Let d(k) = k**3 + 12*k**2 - 10*k + 43. Let l be d(-13). Let q(a) = 3*a - 8. Let f be q(l). Solve 0 = 9*c - f - 5 for c.
1
Suppose 0 = 5*c - 4*c - 3. Suppose c*o = 6 + 3. Suppose 10 = -3*h + 3*q + 25, 2*h = -o*q + 15. Solve -6 = -3*l + h for l.
4
Suppose 11833 = -11*t + 11921. Suppose 3*c - 3*j + 2*j + 55 = 0, -5*c + j - 95 = 0. Let r be 30/(-20)*c/6. Solve -t + r = -g for g.
3
Let d be 15 + 23 + (-140)/7. Solve -87*f = -69*f - d for f.
1
Let s(a) = -a**2 + 8*a. Let o = -13 + 21. Let j be s(o). Suppose b - 3 - 7 = j. Solve -y - y - b = 0 for y.
-5
Let v be (70/25)/((-119)/(-2040)). Solve 18*u = v*u - 30 for u.
1
Let c = -4920 - -4930. Solve -c = 29*q - 97 for q.
3
Let s(w) = 3*w + 70. Let u be s(-18). Suppose 0 = -3*n + t + 14, 4*n - 4*t - u = -0*t. Solve n*l = -21 - 4 for l.
-5
Suppose -15*i + 534 = 294. Solve i*d = 20 - 132 for d.
-7
Let b(n) = n**2 - 80*n + 1526. Let o be b(31). Solve -o = -7*q + 6*q for q.
7
Suppose -19*j = -18*j - 10. Let v be (j/4)/(5/10). Solve -f = v - 8 for f.
3
Let a = -40 + 40. Suppose a = 6*r - r - 10. Let l be (r + -5)*(-5)/3. Solve 3*m = 4 + l for m.
3
Let j(m) = -m**2 - 14*m - 10. Let n be j(-12). Let x = 11 + -5. Solve 0 = 4*z + n - x for z.
-2
Let l(b) = 3*b - 12. Let r be l(5). Suppose 2*i - 20 = -r*n - 2*n, 4*i = 20. Suppose -n*s = -p + 24, 0 = -4*p + 3*s - 28 + 114. Solve p = -8*m + 4*m for m.
-5
Let d(y) = y**2 - 12*y - 3. Let r(v) = -6*v**2 + 61*v + 16. Let c(w) = -11*d(w) - 2*r(w). Let s be c(-6). Let h be (-6)/21 - s/7. Solve -1 = h*a + 5 for a.
-2
Suppose 0*a + 19 = 5*c + 4*a, -a = 5*c - 31. Solve -12*p - 15 = -c*p for p.
-3
Let y(t) = -t**2 + 12. Let h = 152 + -155. Let v be y(h). Solve 6 = 6*d - v*d for d.
2
Let f = 9214 - 9203. Solve 64*u + 371 = f*u for u.
-7
Let o be (14/(-112))/((-2)/144). Solve -5*z = -24 + o for z.
3
Let q(d) = -5*d + 16. Let k be q(4). Let p = 4 + k. Suppose p = -0*g + 2*g - 6. Solve 0 = -5*c - g - 2 for c.
-1
Suppose 34*y + 35*y - 73*y = -20436. Solve y*i = 5102*i - 56 for i.
-8
Let r be (12/5)/((-13)/(-65)). Suppose 58 = 4*o - 2*p, -7*o + 4*p - 92 = -r*o. Solve -x = -5*x - o for x.
-4
Let c = 446 + -443. Suppose -3*o = 2*s - 13, 5*o = -c*s - s + 31. Suppose 3*r - 2*j = 4*r - 4, 5*j = 0. Solve -5*t = s - r for t.
-2
Suppose 0*k - 66 = -2*k. Suppose 0 = k*j - 37*j + 48. Solve -j*y = -10*y + 8 for y.
-4
Let n(u) = u**3 - 3*u**2 - 8*u + 4. Let r(f) = f - 2. Let a be r(7). Let w be n(a). Suppose -18*x = -w*x - 16. Solve 2*q = x + 4 for q.
4
Suppose -111*a + 7561 + 39 = 79*a. Solve 66*v - a = 76*v for v.
-4
Let m be ((-88)/6 + 2)*(-351)/(-18). Let y = m + 253. Solve 0 = -3*c + 6*c + y for c.
-2
Suppose -5*q = 5*f - 85, 5*f - 10*f = -5*q - 25. Solve -6*s = 13 + f for s.
-4
Let c be (1/5)/(11/110). Let z be c/(-6) + 3/9. Solve -l + 0*l + 3 = z for l.
3
Let s be 4 + (-3)/(2 + -5). Let g(n) = 5*n**2. Let u be g(-2). Suppose -u = -4*k, 2*k + k = -2*o + 25. Solve o*t - s = -0 for t.
1
Let z(m) = -m**2 - 1. Let c(n) = -8*n**2 - n - 9. Let f(q) = -c(q) + z(q). Let t be f(-3). Let g = -64 + t. Solve 8 = g*y - 4 for y.
3
Suppose -5*n - 2 + 12 = 0. Let s be 7*(-4)/((-84)/15). Solve -s*r + 9 = -n*r for r.
3
Let n be (-1 - 27)*1*(-9 + 8). Suppose -22*y + n = -8*y. Solve 6 = -4*c - y for c.
-2
Let n(h) = 10*h**3 - 8*h**2 + 13*h. Let m be n(2). Solve -106 - m = -36*r for r.
5
Let k(y) = 2*y**2 + 2*y - 8. Let z be k(3). Let q(t) = -8*t - 11. Let g be q(-2). Let m(x) = x**2 - 8*x. Let i be m(9). Solve 0 = -g*h - i - z for h.
-5
Let s(c) be the second derivative of 0 - 8*c**2 - 24*c - 7/6*c**3 + 1/12*c**4. Let w be s(9). Solve 15 = w*r + 3*r for r.
3
Let a be 6/(((-12)/(-14))/(57 + -56)). Solve -43 = -a*t - 15 for t.
4
Suppose 6 = -7*h + 27. Suppose 2*w = -3*d + 5*w + 84, h*d - 88 = w. Solve -5*n + 10 = d for n.
-4
Suppose -2*d - 512 = 65*l - 67*l, -4*d = l - 236. Solve -107*z + 135*z - l = 0 for z.
9
Let s(r) = 2*r**3 - 84*r**2 + 81*r + 35. Let m be s(41). Let q be 318/(-371)*14/m. Solve q*l - 7*l = 5 for l.
-1
Let f(h) = -3*h**2 + 73*h - 398. Let i be f(9). Solve i*b - 5 = -101 for b.
-6
Suppose -4 = 4*o - 16. Suppose 0 = 2*f - 12*f - 1230. Let n = 131 + f. Solve n = 7*a - o*a for a.
2
Suppose 3*l - 3*c - 42 = 0, 3*c = 18*l - 14*l - 60. Solve l*i - 58 - 68 = 0 for i.
7
Suppose 3*j = 12, -2*v - 3*j = -5*j. Solve -14*c = 18 - v for c.
-1
Let y(b) = -b**3 + 5*b**2 + 13*b + 51. Let s be y(6). Solve -381 = 48*v - s for v.
-6
Suppose 6 = 3*p + j + 14, 4*p - j - 1 = 0. Let h be 50/(-18) + 6/(-27). Let l be p/(-3)*(6 - 8)*h. Solve 6*u - 7*u - l = 0 for u.
-2
Let z(o) = -o**3 - 2*o - 4. Let n be z(-3). Let k = 41 - n. Let x be 6/18 - 4/k. Solve 10 = -x*p | {
"pile_set_name": "DM Mathematics"
} |
third derivative of 279*b*h*x**3 - 2*b*h*x**2 - 130*b*x**2 + 9*b*x - 420*h*x**5 - 2*h*x**3 - 28*h wrt x.
1674*b*h - 25200*h*x**2 - 12*h
What is the derivative of -88752667*c**4 + c*o**3 - 4*o**3 + 17*o**2 - 185725 wrt c?
-355010668*c**3 + o**3
Find the second derivative of 23236871*d**3 - 360*d - 8028 wrt d.
139421226*d
What is the third derivative of 99112*r**4*x - 7*r**4 + 3*r**3*x - 145853*r**2*x + 2*r*x + 9*x wrt r?
2378688*r*x - 168*r + 18*x
What is the derivative of 11*d**2*o + 9341388*d**2 - 6499*d*o + 2*o wrt o?
11*d**2 - 6499*d + 2
Find the second derivative of -158250668*r**3 + 325108931*r wrt r.
-949504008*r
What is the third derivative of -3938148*f**5 - 447*f**2 - 3059?
-236288880*f**2
What is the second derivative of -4*m**3 + 276875*m**2 + 13966*m - 79 wrt m?
-24*m + 553750
Find the second derivative of -142472190*s**2 - 25368*s + 3293.
-284944380
Find the second derivative of 969*w**4 - 34612*w**2 - 199397221*w.
11628*w**2 - 69224
What is the derivative of 358115826*x - 968113260?
358115826
Find the second derivative of 19818*z**4 + 16014*z**3 + 27717*z - 1457 wrt z.
237816*z**2 + 96084*z
What is the second derivative of 113081*i*m**3*n + 3*i*m**2*n + 24*i*m*n + 2*i*m - 13*i*n + 2*i + 2*m**3*n - 4*m*n - m wrt m?
678486*i*m*n + 6*i*n + 12*m*n
What is the derivative of -8*o**3 - 3362010*o**2 - 46874826?
-24*o**2 - 6724020*o
What is the second derivative of -131089*f**3*m**2 + 2*f**3*m - 107*f**3 - 188*f**2*m + f + 52*m**4 - m + 20 wrt m?
-262178*f**3 + 624*m**2
Find the second derivative of -1379110*u**3 + 25102277*u wrt u.
-8274660*u
Find the second derivative of -l**5 + 77079*l**4 - 9*l**3 + 842344*l wrt l.
-20*l**3 + 924948*l**2 - 54*l
What is the second derivative of -499904384*b**2 + 22*b + 9114?
-999808768
What is the third derivative of 3*o**4*y**3 - 2025*o**4*y**2 + 61*o**3 + 2*o**2*y**3 + 1274*o**2*y + 4*o*y**3 - 4*o*y**2 - 2*o wrt o?
72*o*y**3 - 48600*o*y**2 + 366
Find the second derivative of -206937872*j**2 + 283992226*j wrt j.
-413875744
Differentiate 3624*i**3*r**2 - 139*i**3 + i**2 - 2*i + 1758*r**3 + 2083 wrt r.
7248*i**3*r + 5274*r**2
Find the second derivative of -56466214*j**2 - 99765448*j.
-112932428
Differentiate 25767*h*q**2 - 3*h*q + 35*h + 1368*q**2 + 15262*q wrt h.
25767*q**2 - 3*q + 35
What is the second derivative of 1347548*m*q**5 - 27*m*q**4 - 2*m*q - 6*m + 2*q + 8710 wrt q?
26950960*m*q**3 - 324*m*q**2
What is the first derivative of -18734522*h**2*w**2 + 4*h*w**3 + 391*w**3 - 3*w**2 - 92*w wrt h?
-37469044*h*w**2 + 4*w**3
What is the first derivative of 57496670*s + 22241728?
57496670
Find the second derivative of -304977588*c**3 + 9237047*c + 20 wrt c.
-1829865528*c
Find the second derivative of 21261*o**3*r**2 - 259803*o**3*r + 2*o**3 + 8*o**2 - 389*r**3 wrt r.
42522*o**3 - 2334*r
Find the first derivative of -5*x**3 - 47722*x**2 + 235*x + 205764782 wrt x.
-15*x**2 - 95444*x + 235
Find the third derivative of -28*p**5*v - 96473*p**4*v**2 - p**2*v + 297*p*v**2 - 3*p*v - 4*v**2 - 259*v wrt p.
-1680*p**2*v - 2315352*p*v**2
Find the second derivative of 4*b**2*t**2 - 59*b**2*t - b**2 - 3*b - 1604255*t**2 + 5903*t wrt t.
8*b**2 - 3208510
Differentiate -2*c*d*u + 25*c*d + 80842*c*u + d*u + 742836*d - 2309*u - 4 with respect to u.
-2*c*d + 80842*c + d - 2309
Differentiate 4208288*h*r + 306*h*w**2 + 29*r*w + r + 10*w**2 - 4*w wrt w.
612*h*w + 29*r + 20*w - 4
Differentiate g**2*z**3 + 12*g**2 - 252942*g*z**3 - 688007*z**3 - 45*z + 1 with respect to g.
2*g*z**3 + 24*g - 252942*z**3
What is the first derivative of -718177077*n*w - 6*w + 827891 wrt n?
-718177077*w
Find the third derivative of r**5*w**2 + 60101342*r**3*w**3 - 30040*r**2*w**3 + r**2*w - 5*r + 13*w**3 - 2*w wrt r.
60*r**2*w**2 + 360608052*w**3
Find the second derivative of 359941*n**3*z**2 - 157*n**3*z - 7*n**3 + 2*n**2*z - 6164*n - 30*z**2 wrt z.
719882*n**3 - 60
What is the derivative of 3021040*y**3 + y + 410838 wrt y?
9063120*y**2 + 1
What is the second derivative of 133*b**4 + 32694*b**2 + 239510262*b?
1596*b**2 + 65388
What is the third derivative of -115501403*a**3*m**3 - 951*a**2*m + 686*a*m**3 + 3*a wrt a?
-693008418*m**3
What is the first derivative of 29574528*i - 5245398 wrt i?
29574528
Find the second derivative of 65*a**5 + 321294*a**4 + 2*a - 2193474.
1300*a**3 + 3855528*a**2
Find the second derivative of 18540197*c*n**2 - c*n - 94250*c + 2*n + 5 wrt n.
37080394*c
Find the second derivative of -3*s**3*u**2 - 5125*s**3*u - 6*s**3 + 6*s*u - 430739*u**2 wrt s.
-18*s*u**2 - 30750*s*u - 36*s
What is the derivative of 2522016*f**4 + 5*f - 18167842?
10088064*f**3 + 5
What is the first derivative of -9385*s**3 - 1959*s - 6967641?
-28155*s**2 - 1959
Find the second derivative of 35*c**3*l**2 - 7*c**3 + 2*c**2*l**2 - 3*c**2 - c*l - 200*l**2 + 10550*l wrt l.
70*c**3 + 4*c**2 - 400
What is the second derivative of -22912156*l**2 - 5882318*l wrt l?
-45824312
What is the third derivative of -20483062*g**5 + 14*g**2 - 399969*g?
-1228983720*g**2
Find the third derivative of -9131825*d**3 - 11058439*d**2 wrt d.
-54790950
Find the second derivative of 199144571*n**4 + 33092672*n.
2389734852*n**2
Differentiate 6*o**3 - 5114416*o**2 + o + 359095543 with respect to o.
18*o**2 - 10228832*o + 1
Find the second derivative of 151205*o**5*y + 605*o**2*y**2 + 240*o*y**2 + 13*o*y + 2*o - 1501 wrt o.
3024100*o**3*y + 1210*y**2
What is the third derivative of -5627*k**4 - 436*k**3 + 2666768*k**2 wrt k?
-135048*k - 2616
What is the third derivative of -980085*o**3*q + 9*o**3 + 304*o**2*q + o**2 + 3*o*q - o - 18*q - 2 wrt o?
-5880510*q + 54
Find the second derivative of -s**3 + 11002232*s**2 + 120418083*s wrt s.
-6*s + 22004464
Find the third derivative of -203438749*k**6 + 2*k**5 - 822*k**2 + 32122*k - 1 wrt k.
-24412649880*k**3 + 120*k**2
Find the second derivative of 196697693*j*w**2 - 5949*j - 1858*w wrt w.
393395386*j
What is the third derivative of 26135491*l**4 + 12144661*l**2 + 1 wrt l?
627251784*l
Find the first derivative of 34*j**4 - 103908*j**3 - 11067744 wrt j.
136*j**3 - 311724*j**2
What is the third derivative of -30*i**4 - 143764*i**3 + 457*i**2 - 9546?
-720*i - 862584
Find the first derivative of 2*b**3*h*w + 2*b**3*o*w - 4*b**3*w - 71*b**2*w + 16*b*h*o*w + 7*b*w + 48795*h*o + 208*h*w wrt o.
2*b**3*w + 16*b*h*w + 48795*h
Find the first derivative of -238*n**3 - 228085*n**2 - 184016841 wrt n.
-714*n**2 - 456170*n
Find the third derivative of r**4 - 9313952*r**3 - 20*r**2 - 351456.
24*r - 55883712
Find the third derivative of 446006007*r**4 - 46*r**2 - 2960132*r wrt r.
10704144168*r
Differentiate -47384*a*q - 594475391*a + 1575*q**2 with respect to q.
-47384*a + 3150*q
What is the third derivative of -5923289*t**4 - 6032980*t**2 wrt t?
-142158936*t
Differentiate -47962150*m*z**2 + 572*z**2 - 875*z - 7 with respect to m.
-47962150*z**2
What is the derivative of 69*g*x**3 + 11*g*x**2 - 4399091*g - 14*x**3 wrt x?
207*g*x**2 + 22*g*x - 42*x**2
What is the second derivative of 9411*i**3*k*m**2 + 9*i**3*k*m + 108*i**3*m**2 - 7*i*k - 16821*k*m - 1 wrt m?
18822*i**3*k + 216*i**3
What is the first derivative of 55*n**2*v**2 + 44960*n**2*v - 78*n**2 + 1318*n - 2 wrt v?
110*n**2*v + 44960*n**2
What is the derivative of 72315*c**2*l**2 - 13130275*c**2 - 2*c*l**2 - 5*l wrt l?
144630*c**2*l - 4*c*l - 5
Find the third derivative of 5592766*t**4 + 5233429*t**2 wrt t.
134226384*t
What is the second derivative of -46991*l**3*v**2 + 24*l**3*v + 2*l**3 - 21*l**2*v**3 - 1262*l**2*v + l*v + 13*l + 2*v wrt v?
-93982*l**3 - 126*l**2*v
What is the third derivative of -9*s**6 - 2158411*s**5 - 41769380*s**2 wrt s?
-1080*s**3 - 129504660*s**2
Find the second derivative of -2*p*r**3 - 7112854*p*r**2*s**2 + 2*p*r*s + p*s - 2*p - 20*r**3*s**3 - 43*r**3*s + 53*r**2*s + 20*s wrt s.
-14225708*p*r**2 - 120*r**3*s
What is the derivative of 85148082*f**3*h**3*l + 569*f**3*h + 35773*f*h**3 wrt l?
85148082*f**3*h**3
Differentiate -66280839*v**4 - 24616516 wrt v.
-265123356*v**3
What is the first derivative of -167104561*s**4 - 59962346 wrt s?
-668418244*s**3
What is the third derivative of 4232543*c**6 - 61585962*c**2 + 1?
507905160*c**3
What is the first derivative of 761946*u - 33012891 wrt u?
761946
What is the first derivative of -i**3*u + 2*i**3 + i**2*u + 172712290*i**2 - 8* | {
"pile_set_name": "DM Mathematics"
} |
80/(-42)*(-42)/w?
6
Let z be 1 + (646 - 0/(-7)). Let i = z - 158. What is the units digit of i?
9
Let u(s) = -28*s**2 + 32*s - 182. Let j be u(8). What is the units digit of 1/(-1 + -3 - 6874/j)?
9
Suppose 0 = -3*x - 0*x + 9. Suppose 5*d + 12 = -2*h + 6*h, -x*d - 2*h = -6. Suppose d = -w - w + 54. What is the tens digit of w?
2
Let k(t) = -3 - 1 + 4 + 2*t. Suppose 3*m = -3*w + 9, 6*m = 5*w + 2*m - 24. What is the units digit of k(w)?
8
Let p(b) = 6*b**2 - 12*b + 20. Let g(d) = d**2 + 9*d + 21. Let t be g(-7). What is the hundreds digit of p(t)?
2
Let p be ((-8)/16)/((-9)/4 - -2). Let k(i) = p + 3*i + 5*i**2 - 3*i**3 - 11*i - 5 + 4*i**3. What is the tens digit of k(-5)?
3
Let h(t) = -2*t + 27. Let k be h(12). Suppose 2*j + 3*q = 117, 3*q - 120 - 51 = -k*j. What is the tens digit of j?
5
Let y = 122 - 46. Suppose y = 8*x - 1020. Let d = -40 + x. What is the tens digit of d?
9
Let n = 92 + -37. Suppose l + 13 = -s, -4*l = 2*s + s + n. Let h(b) = -b**3 - 14*b**2 + 29*b + 6. What is the units digit of h(l)?
4
Let b(f) = 2*f**3 - 17*f**2 + 44*f - 95. What is the tens digit of b(20)?
8
Suppose r - 19 = -a, a + 3*r - 2 = 17. Suppose -k = 5*d + a, -5*d - 1 = -3*k + 7*k. What is the units digit of ((-2)/3)/(k + 1856/(-309))?
3
Suppose t = -5*c + 13, -3*t - 5*c = -0*c - 19. Suppose -t*u - 180 = u. What is the units digit of (-2367)/u + 6/(-10)?
2
What is the tens digit of 106230/(-150)*-1*5?
4
Let b(i) = 2*i**3 + i**2 - 1. Let m(q) = -12*q**3 + 33*q**2 - 4*q + 14. Let g(n) = 4*b(n) + m(n). What is the hundreds digit of g(7)?
4
Suppose 2*p - 280 = 4*r, 8 = -2*p - 0*p. Let v = r - -84. What is the tens digit of 808/12 + 8/v?
6
Suppose 0 = 5*m - 5*j - 86550, 4*j = 28*m - 31*m + 51937. What is the hundreds digit of m?
3
Suppose 0 = 18*i - 6*i - 7764. What is the hundreds digit of i?
6
Let r(m) = -66*m - 3883. What is the hundreds digit of r(-68)?
6
Let o = 57920 + 1914. What is the tens digit of o?
3
Let g(b) = 34*b**2 - 2*b + 518. What is the hundreds digit of g(-20)?
1
What is the tens digit of (-3179)/3*(-14 + 2)?
1
Let p be 100/14 - (-7 - -2)/(-35). Suppose 2*x = 2*o + 422, p*x - 8*x - 2*o + 223 = 0. What is the tens digit of x?
1
Let g = -43140 - -63002. What is the ten thousands digit of g?
1
Let m = 2146 + -2269. Let l(a) = 6*a**2 + 10*a + 6. Let h be l(-9). Let u = m + h. What is the hundreds digit of u?
2
Let x(p) = -8 - 10 + 2*p + 0*p + 6. Let i be x(6). Let k(y) = 2*y**3 + y**2 + 13. What is the tens digit of k(i)?
1
Suppose -5*t - 16 = y - 7, 5*y - 39 = -4*t. Suppose -y*b + 2*b = -468. What is the tens digit of b?
5
Let s(x) = x**2 - 9*x - 215. Let k be s(-11). Suppose -4800 = -k*a - 5*r, 3*a - 2*r = -a + 3840. What is the tens digit of a?
6
Let l(x) = 2*x**2 - 11*x + 13. Let a be ((3 - 1) + 12)/((-2)/(-1)). Let s be l(a). Let i = s + 36. What is the tens digit of i?
7
Suppose -8*i + 3*i - 225 = 0. Let w = i + 50. Suppose n = -5*p + 739, 193 = -5*p + w*n + 938. What is the hundreds digit of p?
1
Let b = -200 + 185. What is the tens digit of (-1742)/(-10) + 3/b?
7
Suppose -3*v = -2*v - 2. Suppose v*k + 41 = g + 4*g, -40 = -4*g - 2*k. Suppose 0 = 4*j, g*j - 208 = -2*q + 4*j. What is the units digit of q?
4
What is the units digit of (-30818)/(-12) - (-2 + (-13)/(-6))?
8
Let c(z) = 112*z**2 + 56*z + 2. Let r be c(-6). Let s = r + -2625. What is the hundreds digit of s?
0
Let y = -95 + 100. Let p be 0/(3 + (5 - y)). Suppose -3*z - h + 3*h + 644 = p, -20 = -4*h. What is the tens digit of z?
1
Suppose -7*z = -20 + 6. Let r = 537 + -309. Suppose z*m - 63 - 51 = -i, 5*m - r = -2*i. What is the hundreds digit of i?
1
Suppose 3*f + 5*x = -2102, -2096 = 15*f - 12*f - x. Let h = f - -1568. What is the tens digit of h?
6
Let h(b) = b**2 - 6*b + 14. Let o be h(5). Suppose -o*x = 12 + 6. Let j(l) = -5*l + 4. What is the units digit of j(x)?
4
Let a be -4*(0 + 18/(-4)). Let k be 389/(-9) - (-4)/a. Let m = 9 - k. What is the tens digit of m?
5
Suppose 2*t + 11 = 39. Let x be 6/10*(t - -1). Let i(y) = 7*y - 25. What is the tens digit of i(x)?
3
Let x be (-8 - -4)*9/(-4). Suppose 5*r = x*r - 20. Let l(t) = 12*t - 2. What is the tens digit of l(r)?
5
Let y = -16764 - -57828. What is the thousands digit of y?
1
Suppose 4*l - 71 = -5*d, 6*d - 3*l = 2*d + 63. Suppose d = 11*a - 16*a. What is the units digit of (1/(-3))/(9/1611)*a?
9
Let n(w) = w**3 + 16*w**2 + 15*w + 2. Let x be n(-15). Let q(g) = g**3 - 7*g**2 + 15*g - 6. What is the units digit of q(x)?
4
Let i(c) = -4*c + 26. Let f(v) = 12*v - 78. Suppose -21*m + 23*m - 6 = 0. Let d(l) = m*f(l) + 8*i(l). What is the tens digit of d(10)?
1
Suppose 27 = -3*l + 12, -5*s + 4*l = -8790. What is the thousands digit of s?
1
Let l = -4042 - -5565. What is the hundreds digit of l?
5
Suppose -76 - 95 = -a. Suppose 35 = 5*n - 5*t, 11 + 8 = 5*n - t. Suppose a = 6*l - 3*l - o, -o = n*l - 177. What is the tens digit of l?
5
What is the tens digit of (-15326)/2*(-200 - -194)?
7
Let t(f) = 2*f - 1 + 3*f**2 - 8*f**2 - 5*f**2 + 7*f**2 + f**3. Let q be t(3). Suppose q*n - 4*z - 687 = -4, 3*z + 276 = 2*n. What is the units digit of n?
5
What is the tens digit of (-1243 + 2)/((-6)/42)?
8
Let h = 22 - 22. Suppose 0 = 4*x + 2*j - 20, 2*x + h*j - 10 = 3*j. Suppose -w = -x*w - 5*l + 166, -2*w + 98 = -5*l. What is the tens digit of w?
4
Let d(m) = -m + 4. Let r = 9 - 5. Let h be d(r). Suppose 498 = -h*o + 6*o. What is the units digit of o?
3
Let t(q) = q**3 - 6*q**2 - 15*q + 9. Let y(h) = -h**3 - h**2 + 6*h + 9. Let p be y(0). What is the tens digit of t(p)?
1
Suppose q - 34385 = -5*p, -p = -3679*q + 3682*q - 103197. What is the ten thousands digit of q?
3
Suppose -4*g = -0*g. Let u = 1263 - 1260. Suppose -3*r + 12 = g, 3*q - u*r = -r + 619. What is the units digit of q?
9
Let v be (-3492)/(-27)*3/2. Suppose v*p - 188*p = 9792. What is the hundreds digit of p?
6
Let q = 3766 - 1998. Suppose 0 = -4*i + q + 1044. What is the tens digit of i?
0
Let z = 1443 + -652. Let a = z - 474. What is the hundreds digit of a?
3
Let d(s) = s**3 + 7*s**2 - 10*s - 11. Let t be d(-8). Suppose -15 = -t*y + 15. What is the tens digit of (11 - 14)/(y/(-194))?
9
Suppose 15 = 3*h + 3*w, 5*h = 2*h + 2*w + 5. Suppose -59 = h*n - 41. What is the tens digit of (114 - -3) + n/(-2) + -5?
1
Suppose -1548 + 581 = -2*j - 5*u, -3*j - u + 1418 = 0. Suppose 2232 + j = 2*c - i, -5*i - 1338 = -c. What is the hundreds digit of c?
3
Let f be 10 + (8/(-52) - (-28)/13). Let w be 35*4*3/f. Suppose -39*t = -w*t - 436. What is the units digit of t?
9
Let c(b) be the third derivative of b**4/4 + 38*b**3/3 - 35*b**2. What is the hundreds digit of c(6)?
1
Let v(d) = -31*d - 71. Let h be v(-5). Suppose u - h - 151 = -5*b, -205 = -u + b. What is the tens digit of u?
1
Let n(d) = -6*d - 58. Let s be n(-10). Suppose s*h + 4*j = 8, -2*h - 4*j + 6 = -2*j. Suppose 0 = 10*w - h*w - 1952. What is the hundreds digit of w?
2
Let t = 4257 + -2594. What is the thousands digit of t?
1
Let d(k) = -k**3 - k**2 + 6*k - 4. Let j be d(1). Suppose 32*q - 16*q - 160 = j. What is the units digit of q?
0
Let s = -50 - -55. Suppose 0 = s*w + 671 - 3056. Suppose 0 = -5*o - 6*r + 2*r + w, r - 189 = -2*o. What is the tens digit of o?
9
Let o = -949 + 1600. Let b = o - -298. What is the tens digit of b?
4
What is the thousands digit of -3368*2*64/(-128)?
3
Let f be (-158 + 1)/(-8 - (-161)/21). What is the hundreds digit of (f/(-4))/((-1)/(8/3))?
3
Let a(j) = 31*j**2 + 47*j + 1126. What is the hundreds digit of a(-17)?
2
Let u be 5 - (-111)/(-21) - 116/(-14). What is the hundreds digit of u/(-6)*(-3366)/12?
3
Let t(o) = -2*o**2 - 70*o + 119. Let z be t(-36). Suppose -3816 = z*w - 58477. What is the tens digit of w?
6
Suppose -7100*m + 2141235 = -7055*m. What is the tens digit of m?
8
Suppose 0 = 8*f - 1657 - 2855. Suppose f = 3*q - 165. What is the tens digit of q?
4
Let w = 40 + -34. Let b(i) = 152*i**3 + 6*i**2 + 9*i + 4. Let g(o) = -o**3 - o**2 - o - 1. Let c(p) = w*g(p) + b(p). What is the tens digit of c(1)?
4
Let u be 2 + 8/12 + 1838/6. Let k = -52 - -207. Let b = u - k. What is the hundreds digit of b?
1
Let k = 910 - -6597. What is the hundreds digit of k?
5
Let f(i) = -18*i**2 - 34 - 33*i**3 + 70*i**3 - 38*i**3. What is the tens digit of f(-20)?
6
Let h = -24 + 26. Let g = -40 + 49. Suppose h*j = -c - 1 | {
"pile_set_name": "DM Mathematics"
} |
he greatest common divisor of x and v?
29
Let x = -3 - -4. Let k be 1 - (2 + 64/(-2)). Suppose 3*h + k = 4*w + w, -18 = -4*w - h. What is the highest common divisor of w and x?
1
Let o(m) = 3 + m**3 + 8*m**2 - m**2 + 0*m**2. Let p be o(-6). Suppose -2*g + 12 = 2*i, g + 3*g - i - p = 0. Calculate the highest common divisor of 18 and g.
9
Let x be 3*3 + -1 + 1. What is the highest common divisor of x and 18?
9
Let c = 100 - 65. What is the highest common factor of 7 and c?
7
Let d(z) = z**3 + 2*z**2 - 4*z - 5. Let j be d(-2). Let x be -3*((-42)/9 + j). Calculate the highest common factor of 20 and x.
5
Let v = 16 + -13. What is the greatest common divisor of v and 3?
3
Let a = -7 + 13. Let y(r) = r**2 - 2*r + 1. Let z be y(a). Calculate the greatest common divisor of 275 and z.
25
Let s be (-268)/(-8) - (-2)/(-4). Calculate the highest common divisor of s and 11.
11
Let h be (3/4)/((-15)/(-660)). What is the greatest common divisor of h and 132?
33
Let j be 1 + 2*380/8. What is the greatest common factor of j and 12?
12
Let t(o) = -2*o - o**2 + 5*o + 2*o - 3. Let x be t(3). Suppose 10*b - 5*b - 46 = -3*k, 2*b - 40 = -3*k. What is the greatest common factor of k and x?
3
Let y = 7 - -32. What is the highest common divisor of y and 13?
13
Let p(d) = 9*d + 41. Let v(c) = -c - 2*c - 35 - 10*c - 26. Let s(q) = -7*p(q) - 5*v(q). Let x be s(13). What is the greatest common divisor of 4 and x?
4
Let i = -58 - -18. Let j be i/14*(-14)/4. What is the greatest common divisor of j and 70?
10
Suppose 4*o = 0, -5*q + 2*o = -2*q - 12. Let u = q - 2. Let b = -285 + 293. Calculate the greatest common factor of b and u.
2
Let s(j) = j**3 + 4*j**2 + 3*j + 3. Let p = -1 - -4. Suppose -3*r + 2*r = p. Let i be s(r). What is the highest common factor of i and 3?
3
Let z(u) = u**2 - 3*u - 2. Let a be z(5). What is the greatest common factor of a and 72?
8
Let q(l) = l**3 - l**2 + 2. Let c be q(2). Calculate the highest common divisor of 4 and c.
2
Let c(z) = z**2 + 12*z - 9. Let r(o) = o + 1. Let q(w) = -c(w) + 4*r(w). Let m be q(-9). What is the highest common factor of m and 2?
2
Suppose 3*j = -l - 10, 0*j - j = 2*l. Let s = 6 - j. Calculate the highest common factor of s and 70.
10
Suppose -2*x = x - 9. Suppose 0 = -5*h - 5*u + 355, 4*h - 5*h + x*u + 75 = 0. Calculate the greatest common divisor of 48 and h.
24
Let z be -2*1/(-3)*54. What is the highest common divisor of 108 and z?
36
Let s = 23 + -18. Suppose 3*m - 4*h = -10, -4*m - 5*h - 15 = -43. Suppose -d + m*d - 5 = 0. What is the greatest common factor of s and d?
5
Suppose 3*a - 21 = t - 0*t, -4*t = 12. Suppose 72 = -3*f + a*f. Let v = f - -21. Calculate the highest common factor of 18 and v.
9
Let h(z) = -2*z - 2. Let b be (-14)/(-4)*-2 + 3. Let r be h(b). Calculate the greatest common factor of r and 48.
6
Suppose -2*m + 70 = 2*j + 2*m, -5*j - 5*m = -155. What is the greatest common factor of 81 and j?
27
Suppose -5*k + 10 = 0, 3*r - 178 = r - 5*k. Suppose -r = -2*p - 2*p. What is the greatest common factor of 3 and p?
3
Let q = -7 + 13. Suppose q*o = 2*o + 20. Suppose o*m = -0*m + 300. What is the greatest common divisor of 24 and m?
12
Let x = 8 + -2. Let k = x + -18. Let f = k - -28. What is the greatest common factor of f and 16?
16
Let v(l) = l**2 - 5*l + 2. Let z be v(4). Let j(h) = 4*h**2 + 3*h + 1. Let u be j(z). Calculate the highest common divisor of 11 and u.
11
Suppose 5*a - 43 = -4*d, -d + 10 = -0*d + 2*a. Let h(q) = 8*q + 12. Let j be h(12). What is the greatest common divisor of j and d?
12
Suppose -724 = -2*z - 2*z - a, 3*z = -2*a + 538. What is the highest common divisor of 14 and z?
14
Let l be -4 - -4 - -8*(-9)/(-6). Let y be (14/(-5))/((-8)/240). Calculate the greatest common factor of y and l.
12
Let q = 23 + -3. Suppose 65 - q = 5*t. Suppose 2*x - 35 = -t. Calculate the highest common factor of 26 and x.
13
Suppose 1 + 4 = l. Suppose -l*p + 80 = 5*r, -p - r - 3*r = -31. Suppose 0 = -0*i - 3*i + 231. Calculate the highest common divisor of i and p.
11
Let a be 2 + -2 + (0 - -66). Let o = -9 - -27. Suppose -o = t - 4*t. Calculate the highest common divisor of a and t.
6
Suppose 85 = 3*n - 251. Let k(o) = o**2 + 16*o + 20. Let c be k(-15). Suppose -4*v + 144 = c*v. What is the highest common factor of n and v?
16
Let t(s) = -8*s. Let r be t(-3). Suppose -88 = -2*q + r. Let c = 5 - -2. What is the greatest common factor of c and q?
7
Let c(f) = -58*f**3 - 2*f**2 - f. Let q be c(-1). Suppose b + 2*b = q. What is the greatest common divisor of 152 and b?
19
Let b(m) = 5*m**2 - 4*m - 2. Let t be b(7). Calculate the highest common divisor of 86 and t.
43
Let t(f) = -2*f**3 - f**2 + f - 1. Let l be t(-2). Let c be ((-4)/8)/(1/86). Let u = c + 70. What is the greatest common factor of u and l?
9
Let g = 5 - 1. Let w = 14 - g. Calculate the highest common factor of 5 and w.
5
Let m(h) = -h**3 + 5*h**2 + 4*h + 1. Let d be m(5). What is the greatest common divisor of 28 and d?
7
Suppose 2*v = 4*t - 274, -3*t - 3*v = 2*t - 359. Suppose -m + 276 = 2*b + t, -b - 5*m + 85 = 0. Let h = 15 + 0. Calculate the highest common divisor of b and h.
15
Let u(h) = 10*h**2 - h - 2. Let d be u(-7). Suppose p - q - 163 = 0, q + 4*q + d = 3*p. Calculate the highest common divisor of 20 and p.
20
Let i(l) be the third derivative of 0*l**4 + 4/3*l**3 - 1/120*l**6 + l**2 + 0*l**5 + 0*l + 0. Let k be i(0). What is the highest common factor of 16 and k?
8
Let h = 4 - 4. Let x be h*((-14)/(-6) + -2). Suppose x*w = -4*w + 16. Calculate the highest common factor of 10 and w.
2
Let y(r) = -2*r - 44. Let o be y(-26). Calculate the greatest common divisor of 8 and o.
8
Let x = -50 + 99. What is the highest common divisor of x and 7?
7
Let h be 9 + ((-3)/(-9))/(2/6). What is the highest common factor of 110 and h?
10
Suppose -123 = -8*j + 109. Calculate the greatest common divisor of j and 116.
29
Let n be (-2)/((-5)/(-15) + -1). Calculate the greatest common divisor of n and 9.
3
Suppose -3*n - b + 277 = 0, 0*n = -5*n + 4*b + 456. What is the highest common divisor of 4 and n?
4
Let r = 24 - 4. What is the greatest common factor of 8 and r?
4
Let p = -119 + 145. Calculate the highest common factor of 65 and p.
13
Suppose 4*j + v - 38 = 77, j - 25 = v. Let m be (-9 + 1)*1/(-2). What is the highest common divisor of j and m?
4
Suppose 0*x - 2*x = -32. What is the greatest common factor of x and 40?
8
Let k be 4/(-14) + (-886)/(-14). Calculate the greatest common divisor of 9 and k.
9
Let j(u) = -u**2 - 8*u - 9. Let c be j(-6). Suppose 0*i = -c*i. Suppose 2*g - 2*s = 162, -2*g - s + 159 = -i*s. What is the highest common factor of g and 32?
16
Let z(m) be the first derivative of -m**2/2 + 2*m - 1. Let c be z(-5). Calculate the greatest common factor of c and 21.
7
Let s = 163 - 159. What is the highest common factor of s and 4?
4
Suppose 5*x + 5 = 0, -3*x + 2 - 17 = -2*l. Suppose -l = -5*m + 4*z, 7*m - z - 9 = 2*m. What is the greatest common factor of m and 1?
1
Let o be (3 - -4) + -1*2. Let q be 290/o + -2*1. Suppose -6*d + 3*d = -24. Calculate the highest common factor of q and d.
8
Suppose -2*f - 142 = -4*f. Suppose 10 - 42 = 2*q. Let v = f + q. What is the highest common factor of v and 5?
5
Let k = 40 - 33. Calculate the greatest common factor of k and 7.
7
Suppose -5*d = 4*x - 27, 3*d = x + 4*x - 6. What is the greatest common divisor of 12 and d?
3
Let w = 18 - 16. Suppose 3*m = 7 - 1. Suppose 2*n + 5*s + w = 6, m*n = -2*s + 10. Calculate the highest common divisor of 56 and n.
7
Suppose 3*x - 420 = -2*x. Let z be (-1)/(-5) - 590/(-50). Calculate the greatest common divisor of z and x.
12
Let x = -6 - -4. Let a(u) = -4*u**3 - 2. Let l be a(x). Let c be 1/4 + (-46)/(-8). What is the highest common divisor of c and l?
6
Let a = 70 - 0. Let l be 5*4*21/(-30). Let i be (-8)/10*175/l. Calculate the highest common divisor of i and a.
10
Let w(h) = -2*h + 8. Let g be w(-10). What is the highest common divisor of g and 308?
28
Let m be ((-12)/(-10))/(6/20). Suppose 0 = m*y - 7*y + 84. Let u be (-2 - 19)/((-6)/20). What is the greatest common factor of y and u?
14
Let j(s) = s**3 - 7*s**2 - 7*s - 6. Let a be j(8). Let c be 54/(1*a/4). What is the highest common divisor of c and 12?
12
Suppose 0 = -4*c + 19 + 1. Suppose 12 = | {
"pile_set_name": "DM Mathematics"
} |
f in ascending order.
-1, h, 2, f
Let i = -15 + 18. Suppose 1 + i = -b. Put b, -2, -1 in increasing order.
b, -2, -1
Let h = 17/21 - 1/7. Let p = 0.741 + -0.541. Put 3, p, -1/4, h in decreasing order.
3, h, p, -1/4
Let t = -0.33 - -0.66. Let c = 4.67 + t. Put 1/2, -2, -8/5, c in increasing order.
-2, -8/5, 1/2, c
Suppose 0*r + 5*r = 140. Let l = 30 - r. Suppose g + l = 3. Sort -5, 4, g in decreasing order.
4, g, -5
Let r = -4807 - -4807. Let x be 1*-9*4/6. Put r, 2, x, -3 in descending order.
2, r, -3, x
Let a = 901 + -4503/5. Sort -4/3, -1/17, a, -2/7 in descending order.
a, -1/17, -2/7, -4/3
Let m = -7 - -14. Suppose -3*n + 4*z - 8 = -15, 2*z + 21 = 5*n. Sort m, n, 3 in ascending order.
3, n, m
Let q = 2.1 - 2. Let i = -1468 - -1465. Put -0.5, i, q in ascending order.
i, -0.5, q
Let n = 2183.2 - 2183. Sort -35, n, -1/3 in increasing order.
-35, -1/3, n
Let z(g) = g**3 - 20*g**2 - 66*g - 67. Let u be z(23). Let s = -16613/5 + 3299. Let v = 24 + s. Sort u, 1/3, v in decreasing order.
u, v, 1/3
Let y = -13 - -1. Let i be (-1)/(-4)*y/(-5). Let q = 0.33 - 4.33. Sort q, i, 0.2.
q, 0.2, i
Let j(f) = f**2 + 3*f - 5. Let a be j(-4). Suppose -2*l + 3*y - y = 10, 0 = -3*l - 2*y. Suppose c + 2*g = 10, c - 7 = -3*g + 6. Put c, l, a in decreasing order.
c, a, l
Let o = -1988 - -1983. Sort 0.027, -4/3, o in ascending order.
o, -4/3, 0.027
Let x be 6/(-4)*1/6. Let q be (18/45)/(4/20*-2). Put 7, q, x in decreasing order.
7, x, q
Let d = 25 + -22. Let q = 6 + -10. Sort q, -1, d, 7 in decreasing order.
7, d, -1, q
Let p = 2465 + -2464.3. Let d = 4 - 8. Sort d, p, -0.2.
d, -0.2, p
Let d = 0.0151 + 0.1849. Let i = -0.02 + -0.38. Let k = i - -3.4. Put k, -0.5, d in increasing order.
-0.5, d, k
Let c = 1759/68 - 103/4. Put -2/5, c, 6, -3/2 in descending order.
6, c, -2/5, -3/2
Suppose 3*z - 235 = -2*z - j, 2*z - 2*j = 94. Let f = z - 42. Put -2, 4, f, -4 in ascending order.
-4, -2, 4, f
Let w = 98 - 27. Let c = w + -68. Sort 5, c, 0.04 in decreasing order.
5, c, 0.04
Suppose -2*f + 4*o + 4 = 0, -4*o + 7*o = 0. Put f, 15, 4 in decreasing order.
15, 4, f
Suppose -50*i = -15*i + 35. Sort i, 13/4, -2 in descending order.
13/4, i, -2
Let c(j) be the first derivative of -j**3/3 - j**2 + 16*j - 10. Let a be c(-5). Put 13, 3, a in decreasing order.
13, 3, a
Let q(r) = 2*r**2 + 50*r + 314. Let s be q(-15). Sort 5, -17, s.
-17, 5, s
Let n = -27.3 + 29. Let o = -1.2 + n. Let b = 7 - 12. Sort b, -0.3, o in descending order.
o, -0.3, b
Let z be 4/(2/(-4) - -1). Sort 3, 2, z, -14.
-14, 2, 3, z
Let j(k) = 38*k - 836. Let a be j(22). Let l(t) = t**2 - t - 3. Suppose 5*b + 2*w - 11 = 0, 1 - 14 = -b + 5*w. Let x be l(b). Put a, x, 1 in decreasing order.
x, 1, a
Let l(h) = -3*h - 19. Let d be l(-14). Sort 0.3, -0.04, d in descending order.
d, 0.3, -0.04
Let a = 0.54 + 3.62. Let n = -0.16 + a. Sort n, 1/14, 2 in descending order.
n, 2, 1/14
Let r = 232 + -136. Sort 5, r, -5 in ascending order.
-5, 5, r
Let j be (0 + 104/(-3))*(68 - 62). Let d be 4/(-26) - (-1)/(j/(-84)). Let s = -7 + 7.6. Sort 0.4, s, d in decreasing order.
s, 0.4, d
Let c = 2.391 + -2.291. Sort -5, -12, c.
-12, -5, c
Let r be 68/12 - 5 - 8/30. Let v = 330 - 896. Let x = v + 11884/21. Sort r, x, -0.1 in increasing order.
-0.1, x, r
Let o = 0.06 - -3.94. Let b = -0.38 - 7.32. Let d = -10.7 - b. Sort 2, d, o in increasing order.
d, 2, o
Let n(g) = -g**2 + 2. Let f be n(-2). Let m = -10.9 - 2.1. Let w = m + 18. Sort 2/7, w, f in increasing order.
f, 2/7, w
Let o(a) = a**3 - 13*a**2 - 13*a - 19. Let s be o(14). Let d = 3 + s. Suppose 12 = 3*q, -2*p + 3*q = 14 - 0. Put d, -3, p in ascending order.
-3, d, p
Let h = 23 + -116/5. Put h, 0.3, 4/3 in decreasing order.
4/3, 0.3, h
Let b(x) = x**2 + x - 6. Let h be b(5). Let v be 4/3 - h/(-36). Put 5, v, -1, -14 in ascending order.
-14, -1, v, 5
Let j be -2 + 4 + -3 + 5. Let i(s) = -s**3 + 5*s**2 + 7*s - 1. Let c be i(6). Suppose -2*b + 20 = 4*o, 1 = -c*b + 5*o - 9. Sort -3, j, b in ascending order.
-3, b, j
Suppose 31 = 26*w + 5. Put w, -5, 5, -3 in descending order.
5, w, -3, -5
Suppose 0 = 4*q - 5*m + 13, -4*q - 2*m + 3 - 9 = 0. Sort q, 5, 14.
q, 5, 14
Let g be ((-10)/35)/((-25)/(-35)). Put 0, g, -58 in descending order.
0, g, -58
Let t(l) = l**3 + 12*l**2 - l - 10. Let a be t(-12). Put 3, -5, -2, a in decreasing order.
3, a, -2, -5
Let f = 23 - 41. Sort 2, f, 2/3, -1 in ascending order.
f, -1, 2/3, 2
Let q = -45 + 87. Let v = -42 + q. Let f = 736/9 + -82. Put 2, f, v in descending order.
2, v, f
Suppose 0 = -j + v + 4 - 7, -4*j + 3*v = 10. Sort -5, -14, j in descending order.
j, -5, -14
Let y = 16610/13 - 1278. Sort 4, y, 8 in increasing order.
y, 4, 8
Let a = 9 + -14. Let z(b) = b**3 - 5*b**2 + 6*b + 1. Let o be (-6)/(-4) + 12/8. Let r be z(o). Sort a, r, 0 in descending order.
r, 0, a
Suppose 5*w - 255 = -32*c + 27*c, 8 = 2*w. Sort 2/11, 2, 3/4, c.
2/11, 3/4, 2, c
Let i = 11 - 12. Suppose -130*c + 133*c = -9. Sort i, c, -2 in decreasing order.
i, -2, c
Let d(p) = -12*p**3 + p**2 + 6*p + 4. Let z be d(-1). Put 3, z, -2, 0 in descending order.
z, 3, 0, -2
Let s = -5.9938 - 0.0062. Sort -4/3, 10, s, -0.3.
s, -4/3, -0.3, 10
Suppose 0*p + 15*p + 15 = 0. Sort 52, -2, p, 0 in decreasing order.
52, 0, p, -2
Let o = -71.1 + 67.1. Put o, -2/5, 3, -6/5 in descending order.
3, -2/5, -6/5, o
Let v = 5/2 + -13/6. Sort v, -1, -28, -0.2 in descending order.
v, -0.2, -1, -28
Suppose -1020 = -162*h + 213*h. Sort 4, h, -1, 1 in decreasing order.
4, 1, -1, h
Let k(h) = 3*h**3 - 2*h - 2. Let d be k(-1). Let a = 1.3 - -2.7. Put a, d, 3/5 in increasing order.
d, 3/5, a
Let t(w) = w**3 + 6*w**2 - 7*w - 1. Suppose -2*k - 6 = 8. Let v be t(k). Sort -3, 3, v.
-3, v, 3
Suppose -3*t + 4 = o, 3*t + 2*o - 12 = 5*o. Let w(r) = -6*r - 9. Let m be w(-2). Suppose -2*l - m*l - 15 = 0. Put -4, t, l in increasing order.
-4, l, t
Let t be 4*(-9)/(-1134)*9. Sort 16, t, 0.7 in descending order.
16, 0.7, t
Let o be 21/35 + (-4)/(-10). Suppose -91*s + 90*s = 2. Put o, 5, s in descending order.
5, o, s
Let m = -2.6 - -3. Suppose -20 = -0*i - 3*i - 2*t, 3*i + 5*t - 14 = 0. Let n be (-2)/(-18) - i/18. Put n, m, 2/7 in descending order.
m, 2/7, n
Let o be 6 - 1417/273*6/(-4). Let f be -1 + -1 - 46/4. Let y = o + f. Sort -2, 0.2, y.
-2, 0.2, y
Suppose 0 = -3*q - 6 - 6, 0 = f + 5*q + 20. Suppose -5 = p - 2*h, -3*h - 1 = -p - 9. Suppose 4*x + m = -7, -2*x + m - p = 2*m. Sort f, 4, x.
x, f, 4
Let s be (1 - (-14)/(-4))*(-4)/(-35). Suppose 25 = -5*p - 0. Sort p, -1/4, s.
p, s, -1/4
Suppose 2*b - 2 = -0. Suppose b - 4 = n. Let q = -2 - n. Put 3, q, 5 in ascending order.
q, 3, 5
Let w be 4 - 10*(-4)/(-5). Sort 3, 8, w in descending order.
8, 3, w
Let p be 2/(8 + -2)*0. Suppose -3*h + p*h = 6. Suppose 2*r + 4 = i + 15, -4*i + 3*r - 24 = 0. Sort 4, h, i in increasing order.
i, h, 4
Suppose 69*k = 68*k - 3. Put k, 5, -14, 0 in descending order.
5, 0, k, -14
Let w be (-4)/(-2)*21/14. Suppose 0*n - w*n = 27. Let r = n - -12. Put 2, 1, r in descending order.
r, 2, 1
Let l = 16.96 - -3.94. Let u = -169 + 148. Let g = u + l. Sort 2/9, g, -5/4 in descending order.
2/9, g, -5/4
Let d = 15 - 31/2. Let j be 638/7*(-63)/45. Let l = -127 - j. Sort -4/3, l, d.
-4/3, d, l
Let t(r) = r**2 - 4*r + 3. Let m = 17 - 13. Let y be t(m). Let v = y + -8. Sort v, -3, 4.
v, -3, 4
Suppose 0 = -24*y + 30*y - 30. Let k(c) = c**2 - 9*c + 23. Let g be k(y). Put g, 9, -3 in ascending order.
-3, g, 9
Let h = 30 + -25. Suppose -h*x = -0*x. Suppose x = -4*n + 2*n. Put n, 12, -1 in descending order.
12, n, -1
Suppose -45 + 24 = -4*y + 3*t, 4*y + 5*t = -3. Put 1, -82, y in increasing order.
-82, 1, y
Let d = -8 + 4. Let b = 0.1832 + 2.8168. Sort -3, d, b in descending order.
b, -3, d
Let n be 3/(-2)*8/6. Let m = -2 + -2. Let h be (-9*5/60)/(1/(-4)). Sort n, h, m.
m, n, h
Suppose -4*o - 3*k = 5, 3 - 6 = 3*o + 2*k. Let w be (o/(-3))/(3 + -2). Sort 3/4, w, 0 in decreasing order.
3/4, 0, w
Let q = 0 - 3. Suppose -2*j = -r - 17, -2*j - 2*r = -0*r - 20. Suppose -j*g + 19 = -8. Put g, 5, q in ascending order.
q, g, 5
Let g = -1578 + 1573. Put -0.4, 4, -26, g in ascending order.
-26, g, -0.4, 4
Suppose -10 - 6 = -4*v. Sort 0, v, -1, -10.
-10, -1, 0, v
Let u = -8/19 + -356/57. Put u, 5, 1 in decreasing order.
5, 1, u
Suppose -r + 2*y - 5 = -7, -2*r - 4 = 4*y. Put 2/5, | {
"pile_set_name": "DM Mathematics"
} |
3. What are the prime factors of 6/r*(-114)/4?
19
Let s = 26 + -16. Suppose -s = -5*k + 20. List the prime factors of k.
2, 3
Suppose -9 = -h + 2*h. What are the prime factors of (6/h)/((-4)/66)?
11
Let f(n) = -n**3 - 2*n**2 + 96. List the prime factors of f(0).
2, 3
Let f(o) = -7*o**3 - 2*o + 1. Let u(r) = -15*r**3 - r**2 - 5*r + 3. Let k(p) = -5*f(p) + 2*u(p). What are the prime factors of k(1)?
2
Let l = 6 + -2. Suppose l*w + 8 = 2*w, -3*m + 29 = -2*w. What are the prime factors of m?
7
Let s(k) = -9*k - 14. Let b be s(7). What are the prime factors of 4/22 + (-2373)/b?
31
Suppose -5*z - 5*l = 30, -3*z + 3 = 5*l + 27. What are the prime factors of 1/z + (-240)/(-18)?
13
Let r be (-8)/(-6)*36/(-24). Let h(u) = 3*u - 5*u - 3*u. What are the prime factors of h(r)?
2, 5
Suppose 4*i + i - 3*o = 120, -79 = -4*i - o. List the prime factors of i.
3, 7
Let a = 4 + -2. Suppose 0*o - 20 = -a*o. What are the prime factors of o?
2, 5
Let j(x) = -x**2 - 20*x - 4. What are the prime factors of j(-14)?
2, 5
Suppose -7*c = -67 - 185. What are the prime factors of c?
2, 3
Let l = 44 - 23. Let f = l - -24. Suppose 4*w + w = f. List the prime factors of w.
3
Let s(u) = u**2 + 2*u**2 - 2 - u**3 + 0*u**2. What are the prime factors of s(2)?
2
Suppose -3*s - 3 = -21. Suppose 3*p = s*p - 48. List the prime factors of p.
2
Let u(t) = -7*t. Let o be u(-1). Let g(c) = -c**3 + 8*c**2 - 5*c - 9. List the prime factors of g(o).
5
What are the prime factors of 9*4/6 - -3?
3
What are the prime factors of 2/(-7) - (-6568)/56?
3, 13
Let j be 15/10*4/(-6). Let b = j - -1. Suppose b*v - 2*v - 60 = -5*r, -3*r - 3*v = -36. What are the prime factors of r?
2, 3
Let j(p) = -p**3 + 6*p**2 - 5*p. Let z be (5/3)/((-4)/(-12)). Let d be j(z). Suppose -3*h + 15 + 6 = d. What are the prime factors of h?
7
Let u(m) = -m**2 + 2*m**2 + m**2 + 3 - 5*m - 3*m**2. List the prime factors of u(-4).
7
Let r(c) = c**2 - 3. What are the prime factors of r(-7)?
2, 23
Suppose 160 = z + z. Let x = z - 53. What are the prime factors of x?
3
Suppose 0 = 5*f - 2*p - 112, -f + 1 + 31 = 2*p. Suppose -f = -t - t. Let j = 32 - t. List the prime factors of j.
2, 5
Suppose t = -0*t + 10. List the prime factors of t.
2, 5
Suppose -u + 123 - 506 = -5*d, -3*u = -5*d + 389. Suppose 5*g = d - 26. What are the prime factors of g?
2, 5
Suppose 20 = 2*l + 3*l. Let u(g) = -g**2 + 4*g + 3. List the prime factors of u(l).
3
Suppose 2*l - 4*f = -3*l + 184, 0 = -3*l - 3*f + 105. What are the prime factors of l?
2, 3
Let o be ((-32)/20)/(1/5). What are the prime factors of (-264)/(-16)*o/(-3)?
2, 11
Suppose 25 = 5*k, -4*k + 16 = u - 19. List the prime factors of u.
3, 5
What are the prime factors of -1 + 12/15 + (-1984)/(-20)?
3, 11
Suppose -2*g + 4 = -2. Suppose 0 = 5*j - 1 - 9. Suppose 1 - g = -5*r + 4*h, -j*h + 10 = 3*r. What are the prime factors of r?
2
Let g(h) = h**2 - 7*h + 10. Let k be (9/1)/(-1 - -2). Let t be k + -2 - (1 + -1). List the prime factors of g(t).
2, 5
Let g(d) = -5 + 5*d + 0*d**2 + d**2 + 8. What are the prime factors of g(-5)?
3
Suppose -x - 1 = -p + 6, -65 = -5*p - 5*x. Suppose -4*u = 3*b - 129, 3*u - 65 - p = 5*b. What are the prime factors of u?
2, 3, 5
Let q = 4 - -94. What are the prime factors of q?
2, 7
Suppose -33 = 2*x + 11. Let f be 0 - ((0 - -2) + 14). Let d = f - x. What are the prime factors of d?
2, 3
Let y(w) = -8*w + 63. What are the prime factors of y(-24)?
3, 5, 17
Let q = 154 - 134. List the prime factors of q.
2, 5
Let h(g) = 5*g**2 + 6*g + 6. Let u(n) = 4*n**2 + 5*n + 6. Let z(y) = -3*h(y) + 4*u(y). Let i(v) = -3*v - 1. Let r be i(1). What are the prime factors of z(r)?
2, 7
List the prime factors of 0 + 2 - (-798)/(-6 + 12).
3, 5
Let y = -3 - -8. Let q = 16 - y. What are the prime factors of q?
11
Let g be (-78)/(-9)*6/(-4). Let n = 26 + g. List the prime factors of n.
13
Suppose c - 4*c + w = -92, -4*c = -5*w - 119. What are the prime factors of c?
31
List the prime factors of (-4)/26 + 2490/130.
19
Suppose -7*i + 24 = -3*i. What are the prime factors of i?
2, 3
Let t(d) = d + 41. List the prime factors of t(-17).
2, 3
Suppose 4*w = 0, a + 3*w = -4*a - 75. Let j = 32 + a. What are the prime factors of j?
17
List the prime factors of (-2)/5*18/(-12)*335.
3, 67
List the prime factors of 45 + -1 - (1 + -3).
2, 23
Let k(d) = d - 9. Let p be k(8). Let j = p - -5. What are the prime factors of (2 - 1) + j + -1?
2
Let y(w) = w**2 + 5*w - 10. Let g be y(-7). Let d(u) = 4*u**2 + 4*u - 2. Let o be d(g). Suppose 5*i = o - 28. List the prime factors of i.
2, 5
Let r be (332/6)/(2/3). Suppose -4*l - r = -231. What are the prime factors of l?
37
Let i = 5 + 1. Suppose v - 3*n - 17 = -3, 0 = -3*n - i. What are the prime factors of v?
2
Let z = -62 + 95. Suppose -4*j = -31 - z. What are the prime factors of j?
2
Let m(s) = -s + 2. Let g be 0 - (-2)/(-1) - 34. Let n = g + 26. What are the prime factors of m(n)?
2, 3
Suppose o - 15 = -5*z, -o + 1 = -z + 4. Let l(v) = 2 - 2 + 4*v + z. List the prime factors of l(3).
3, 5
Let u(c) = -7. Let i(y) = -y. Let v(k) = i(k) - u(k). Let t(g) = g + 1. Let x(q) = 2*t(q) + v(q). What are the prime factors of x(-7)?
2
Suppose -g - 3 - 9 = 0. Let s be (-52)/g - (-4)/6. Let m = 7 + s. List the prime factors of m.
2, 3
Suppose -1 = -h, 108 = 5*m - 4*h - 533. Suppose -5*d + m = -6*g + 2*g, 5*g = -5. List the prime factors of d.
5
Suppose -24 = -5*i + y, 2*i = 4*i - 3*y - 7. Suppose 3*j - z - 14 = 0, -4*j - 5*z + 23 = -2*z. Let f = j + i. What are the prime factors of f?
2, 5
Suppose 3*r - 2*q - 103 = -7*q, 0 = 2*r - 2*q - 42. What are the prime factors of r?
2, 13
Let j be -2*2/(-4) - 11. Let h(t) be the second derivative of t**5/20 + 5*t**4/6 - t**3/3 - 13*t**2/2 - 2*t. What are the prime factors of h(j)?
7
List the prime factors of (-336 - 2)/(-1) + -2 + -2.
2, 167
Let k = -4 + 6. Suppose -3*v + 41 = 3*s + k, -s = -3*v - 9. What are the prime factors of s?
2, 3
Let x = 3 + -1. Suppose 4*y = x*y + 6. What are the prime factors of y?
3
Suppose 24 + 1 = -3*l + 5*x, 5*l - x + 5 = 0. Suppose 36 = 3*r - l*r. What are the prime factors of r?
2, 3
Suppose -4*y - 5*d + 704 = 0, -2*y = 2*y + 4*d - 700. List the prime factors of y.
3, 19
Let f(a) = a**3 + 6*a**2 + 4*a - 2. Let n be f(-5). Let c be n/(-3) + 2 + -1. Suppose 6*d - p - 24 = d, -p - 4 = c. What are the prime factors of d?
2
Let k(i) = i**2 - 2*i. Let m be k(3). Suppose -4 = -w - m*w. What are the prime factors of 4/(w/((-9)/(-6)))?
2, 3
Let t = -2 - -2. Suppose t = 3*b - 102 + 588. What are the prime factors of (-4)/16 + b/(-8)?
2, 5
List the prime factors of (-7)/14*(-72)/1.
2, 3
Suppose 4*r + 2 = l, 3*l + r - 20 = -r. Suppose l*g - 190 = g. List the prime factors of g.
2, 19
Let z(v) = -5*v + 1. Let i be 0 - -3 - (-18)/(-3). What are the prime factors of z(i)?
2
Let i = -495 + 831. What are the prime factors of i?
2, 3, 7
Suppose 5*a - 5 = -5*t + 35, -4 = -3*t + a. Suppose 3*r - 4*r = -t*q - 13, -2*r - 5*q - 7 = 0. List the prime factors of ((-1)/(-3))/(r/24).
2
Let k(g) = 14*g**3 - g**2 + g. Let s be k(1). Let n = s + -9. Suppose -3*c - 5*y + 2 = -34, -c = -n*y - 12. List the prime factors of c.
2, 3
Let a = 55 + -33. What are the prime factors of a?
2, 11
Let c be (-1 - -2) + 0 + 10. Suppose 0 = -2*j + c - 1. Suppose 0 = -j*m + 28 + 32. List the prime factors of m.
2, 3
Let i(g) = g**3 - 6*g**2 + 6*g - 2. Let f be i(5). Suppose -f*p = -2*p + 3. List the prime factors of 1/((-1)/33*p).
11
Let q(j) = -j**3 + 2*j**2 - j. Let x be q(2). Let u = x - -5. List the prime factors of u.
3
Let s(j) = 2*j**2 - 4*j + 32. What are the prime factors of s(6)?
2, 5
Let i(g) = -g**3 - 4*g**2 + 3*g + 3. Let n be i(-5). Let h = -8 + n. List the prime factors of h.
5
Let k(o) = o**3 - o**2 + o + 3. Suppose -5*c = 3*s + 26, -c + 10 = -2*c - 3*s. Let m = 4 + c. What are the prime factors of k(m)?
3
Let d(k) = -k + 3. Let c(l) = l**3 - l**2 - 4. Let w be c(0). List the prime factors of d(w).
7
Suppose z = -0*z + 5*f - 30, 0 = 3*z + f + 26. List the prime factors of 7/(-35) - 332/z.
3, 11
Let c(h) = h**2 + 3*h - 7. Let s be c(-5). Let o(v) = -v**2 + s - 9*v + 12*v + 4*v. List the prime factors of o(5).
13
Let c = 7 + -5. Suppose 0 = -4*z - 3*g + 45, -15 = -3*z + c*g + 6. What are the prime factors of z?
3
Let w = 17 + -10. S | {
"pile_set_name": "DM Mathematics"
} |
*-1 + sqrt(126)) - sqrt(126)) + sqrt(126))/(sqrt(2)*-2*-1)*3)**2.
0
Simplify 4 + ((sqrt(1300)*-3 + sqrt(1300))*-6 - sqrt(1300) - ((sqrt(1300) + sqrt(1300)*5)*6 - sqrt(1300))).
-240*sqrt(13) + 4
Simplify -5 + (sqrt(99)*3 + sqrt(99))**2 + -1 + -4.
1574
Simplify -4*(sqrt(68)/(4*sqrt(4)) + (sqrt(51)/(sqrt(3) + sqrt(75)) - sqrt(17))) + 1.
1 + 7*sqrt(17)/3
Simplify (sqrt(2) + ((sqrt(16)/sqrt(4))/sqrt(2))**2 + sqrt(2))*-4*-4 - (sqrt(240)/(2*sqrt(12)) - sqrt(20) - sqrt(20))/(-6*2*sqrt(10)).
32 + 255*sqrt(2)/8
Simplify (-5*(-1 + sqrt(1088) + sqrt(1088) + -1 + 0) + -3)**2 + -3.
-1120*sqrt(17) + 108846
Simplify (-2 + sqrt(208) + (-2 + sqrt(208))*2 + 0 + -3)**2*1.
-216*sqrt(13) + 1953
Simplify (sqrt(108)*-2)**2 + -3 + 5.
434
Simplify (-3*sqrt(39)*6)/(sqrt(15)/(4*sqrt(5) - sqrt(5)))*6.
-324*sqrt(13)
Simplify -1*(sqrt(19) + -2)**2*-2 - (5 + sqrt(2736) + 1)**2.
-2726 - 152*sqrt(19)
Simplify (6*((sqrt(196) + (sqrt(196) - -1*sqrt(196))*-1)/sqrt(7))/((sqrt(48) - sqrt(48)*-1*-4)/sqrt(12)))**2.
28
Simplify (sqrt(117)/(2*(sqrt(9) + sqrt(144)))*6 + 4 + -5)**2.
-6*sqrt(13)/5 + 142/25
Simplify (0 + sqrt(612) + (3*sqrt(612))**2 + sqrt(68)/(4*sqrt(4)))*3.
75*sqrt(17)/4 + 16524
Simplify ((sqrt(300) + 3 + (sqrt(300) - (sqrt(300) + (sqrt(300) - (sqrt(300) - sqrt(300)*1)))) + -3)*2)**2.
0
Simplify (-5 + sqrt(99) + (sqrt(99) + 1)*-1 + sqrt(275) + sqrt(275)*-3 + -5)**2.
220*sqrt(11) + 1221
Simplify (sqrt(36)/((sqrt(112)/sqrt(8))/sqrt(7)))/(sqrt(144) + -3*sqrt(144)*6 + sqrt(144) + sqrt(144) - sqrt(144)).
-sqrt(2)/64
Simplify 5*((sqrt(5) + sqrt(5) + (sqrt(5) - sqrt(400)/sqrt(5)) + 5 - (sqrt(720)*1)/sqrt(9))*6)**2.
-9000*sqrt(5) + 27000
Simplify ((-4*sqrt(117) - sqrt(117))*1*4)/(3*(sqrt(225) - (sqrt(225) + -4*sqrt(225)) - sqrt(225))).
-4*sqrt(13)/9
Simplify (sqrt(864)/sqrt(3) + sqrt(18))/sqrt(6) + (1*(sqrt(12)/sqrt(4) + -3 + sqrt(3)))**2.
-7*sqrt(3) + 21
Simplify (sqrt(720)*6)/(sqrt(9) + sqrt(54)/(2*sqrt(6))) + (sqrt(960)*-1)/(sqrt(36)/sqrt(3)*3).
44*sqrt(5)/3
Simplify (sqrt(832)*-2*6 + 4)**2 - (0 + sqrt(832) + (sqrt(832) - (2*sqrt(832) - sqrt(832))))*2.
-784*sqrt(13) + 119824
Simplify -5*((1 + (-1*sqrt(720) - sqrt(720)) - sqrt(720))**2 + (sqrt(720) - (sqrt(720) - 1*sqrt(720)*5))**2) + 3.
-122402 + 360*sqrt(5)
Simplify ((sqrt(85) + sqrt(85)*-3)/sqrt(5) - sqrt(17) - (sqrt(2057) - (0 + sqrt(2057)))**2) + sqrt(85)/((sqrt(5) - sqrt(405))*-6).
-143*sqrt(17)/48
Simplify (-2 + sqrt(325) + -3 + 2 + (-5 + sqrt(325) + 2)*6)**2.
-1470*sqrt(13) + 16366
Simplify (0 + -3*(-1 + sqrt(612)*2 - (sqrt(612) - (-2*sqrt(612) - sqrt(612)))*-2)*-1)**2.
-1080*sqrt(17) + 550809
Simplify (2*sqrt(4032)*6)/(sqrt(216)/(2*sqrt(6))).
96*sqrt(7)
Simplify (sqrt(624)*-3)/sqrt(3) - (sqrt(13) + (sqrt(832) + 0 + sqrt(832) - sqrt(832)))**2*-4.
-12*sqrt(13) + 4212
Simplify -2 + 2 + (-1*sqrt(468) + 3 + 2)**2.
-60*sqrt(13) + 493
Simplify (sqrt(132)/sqrt(4))/sqrt(3) + sqrt(99) + sqrt(11) + -5 + 0 + -4*sqrt(44)/sqrt(64)*-4.
-5 + 9*sqrt(11)
Simplify ((-1 + sqrt(1377)*-6*-5)*1)**2*-3.
-3717903 + 1620*sqrt(17)
Simplify sqrt(10)/(-2*sqrt(5)) + 4 - ((sqrt(50)*2)**2 + 3).
-199 - sqrt(2)/2
Simplify -2 + -3*sqrt(17) + (sqrt(17)*2 + -2)**2 + (4*(1 + sqrt(17)) - sqrt(17) - (-5 + (sqrt(68)/sqrt(4))**2)).
-8*sqrt(17) + 62
Simplify sqrt(304) + sqrt(304) + 0 + ((1*sqrt(152) + sqrt(152))/sqrt(8))**2 + (sqrt(171) + -3*sqrt(171)*-1 - sqrt(171))/sqrt(9).
11*sqrt(19) + 76
Simplify (-2 + -5 + -1 + 4 + sqrt(8)/sqrt(4))**2.
-8*sqrt(2) + 18
Simplify (sqrt(13) - sqrt(117)*-2 - (2 + sqrt(13) + 5)) + sqrt(13)*-2 + 1 + 0 + sqrt(52).
-6 + 6*sqrt(13)
Simplify ((sqrt(45) + (-1*sqrt(90))/sqrt(2) + sqrt(45))/(sqrt(45)/(sqrt(5) - (sqrt(5) - 2*sqrt(5)))))**2 + ((sqrt(5) + 3 + (-2*sqrt(5) - sqrt(5)))*5*-6)**2.
-10800*sqrt(5) + 26120
Simplify (-4 + -2*sqrt(13) + 3 + 0 + sqrt(117) + sqrt(26)/sqrt(2) + 3)**2.
8*sqrt(13) + 56
Simplify (-2 + 2 + sqrt(2736) + 2 + sqrt(2736) + (sqrt(2736) - (sqrt(2736) + -1 - sqrt(2736)))*-2)**2.
0
Simplify -4 + (sqrt(91) + sqrt(91) + (sqrt(91) - -1*(sqrt(91) + 2*sqrt(91))) + sqrt(91) + sqrt(91))/((-1*sqrt(70))/sqrt(10)).
-8*sqrt(13) - 4
Simplify -5 + ((sqrt(2401)*-2)/(3*(sqrt(21)/sqrt(3) + sqrt(7))))**2*-1.
-388/9
Simplify -6*(sqrt(1512)*-3)/(-3*sqrt(864)).
-3*sqrt(7)
Simplify (-2 + -1*(sqrt(1152)*-2 + sqrt(1152)))**2.
-96*sqrt(2) + 1156
Simplify 2 + -5 + ((2 + sqrt(405))*-2)**2 + (1 + sqrt(405))*-4.
108*sqrt(5) + 1629
Simplify -4 + (sqrt(136)/(sqrt(8)*2) - (2 + sqrt(272)))**2 + -1.
14*sqrt(17) + 829/4
Simplify (sqrt(400) + sqrt(400) + 2*sqrt(400)*5)/(sqrt(64)/sqrt(128) - sqrt(32)*-1).
80*sqrt(2)/3
Simplify (sqrt(180) - (sqrt(180) + 1))**2*-2 - ((sqrt(180)*3)**2 + -4).
-1618
Simplify (sqrt(2430)*2*6 + sqrt(2430) - sqrt(2430))/(sqrt(600) - -1*sqrt(600) - sqrt(864)*-2).
27*sqrt(5)/11
Simplify (sqrt(5324) + (sqrt(5324) - (sqrt(5324) + (3*sqrt(5324) - sqrt(5324)))))/(sqrt(24)/sqrt(6)*3).
-11*sqrt(11)/3
Simplify (3 + 2*1*(1 + -1*sqrt(931)))**2.
-140*sqrt(19) + 3749
Simplify (-5 + sqrt(343)*-1*5*2 + -3)**2 + 5.
1120*sqrt(7) + 34369
Simplify (6*(sqrt(50) - sqrt(3200))*6)/(((sqrt(80) - sqrt(80)*3)*-2)/sqrt(8)).
-63*sqrt(5)
Simplify (sqrt(972) + -1)*1 - sqrt(81)/(6*(sqrt(3) - sqrt(75))).
-1 + 145*sqrt(3)/8
Simplify ((sqrt(2916) + -2*sqrt(2916) + sqrt(2916))*1)/(-6*(sqrt(1728) - sqrt(1728)*-2 - sqrt(1728) - sqrt(1728))).
0
Simplify (sqrt(5) + -2)*6*2 - ((sqrt(50)/sqrt(5))/sqrt(2) + 5).
-29 + 11*sqrt(5)
Simplify (sqrt(35) + sqrt(70)/sqrt(2)*2 + sqrt(35) + sqrt(35) + sqrt(35))/(sqrt(7) + (sqrt(7) - -1*sqrt(7))*-2 + sqrt(7)) + 5.
-3*sqrt(5) + 5
Simplify (sqrt(684)*1*3 + (sqrt(684) + 1)*1 + -5 + sqrt(684) + 1 + -2*((sqrt(684) - (1 + sqrt(684) - sqrt(684))) + sqrt(684)))**2.
-12*sqrt(19) + 685
Simplify ((sqrt(544)*1*4)/(-4*-1*sqrt(288)) + 1)**2.
2*sqrt(17)/3 + 26/9
Simplify (-5*2*sqrt(20))/((2*sqrt(490) - sqrt(10)) + sqrt(10)) + -5 + 0.
-5 - 5*sqrt(2)/7
Simplify ((5 + sqrt(605))*-4 + (sqrt(605) + -4*sqrt(605))*1)**2*-1.
-30045 - 3080*sqrt(5)
Simplify 0 + (sqrt(2057) - (-6*-2*sqrt(2057))**2) + -4.
-296212 + 11*sqrt(17)
Simplify (0 + 1 + (-4 + sqrt(1300) + -1 - ((1 + sqrt(1300))*-4 + sqrt(1300))))**2.
20800
Simplify (sqrt(275) + -2)**2 + -4 + (-1*sqrt(11) + sqrt(11))**2 + 2 + (1 + sqrt(275))**2 + 3.
-10*sqrt(11) + 556
Simplify ((-2*sqrt(60))/sqrt(2))/(3*sqrt(24) + sqrt(24)).
-sqrt(5)/4
Simplify (-4*(2*sqrt(7056))/sqrt(448))**2.
1008
Simplify ((-1 + sqrt(180) - sqrt(180)) + -2 + 1 - (sqrt(5) + sqrt(15)/sqrt(3) + -5 + -2*(sqrt(5) - -2*sqrt(5))))**2.
24*sqrt(5) + 89
Simplify (sqrt(176) + -3 + 3 + 0)**2 - 2*(1*sqrt(176))**2*3.
-880
Simplify (sqrt(7) + sqrt(21)/(sqrt(3) + -2*sqrt(3)) + 0 + 1 + sqrt(7) + (sqrt(700)*-2 + sqrt(700) - (sqrt(7) + 2)*4))**2.
182*sqrt(7) + 1232
Simplify (4*(-5 + -1 + sqrt(12) + -5))**2.
-704*sqrt(3) + 2128
Simplify -1 + -3 + (-4 + sqrt(539)*2)**2.
-112*sqrt(11) + 2168
Simplify (1 + (sqrt(847)*2 - sqrt(847)))**2 + -5 + ((-1*sqrt(56) + sqrt(56))/sqrt(8))**2.
22*sqrt(7) + 843
Simplify ((-2*sqrt(153)*-2)**2 - ((2*sqrt(204) - sqrt(204))*4 + sqrt(204))/sqrt(12))*2.
-10*sqrt(17) + 4896
Simplify (1 + (sqrt(891) + sqrt(891) + ((sqrt(891) + 1 - sqrt(891)) + sqrt(891) - sqrt(891)) + sqrt(891) + -5 + sqrt(891))**2 + 4)*-5.
-71385 + 1440*sqrt(11)
Simplify -3*2*(sqrt(144)/(sqrt(45)/sqrt(5)))/((sqrt(96)*3)/sqrt(12)).
-2*sqrt(2)
Simplify -2 + -1*(sqrt(112) + (sqrt(112)*2 + 4)**2 - (sqrt(112) - (-4 + 1*sqrt(112))**2)).
-594 - 32*sqrt(7)
Simplify 2 + -2*(-2*-1*sqrt(104) + sqrt(104))/(sqrt(8) + -3*sqrt(8)*-4 + sqrt(8) + sqrt(8)).
-2*sqrt(13)/5 + 2
Simplify -3 + sqrt(152)/(-5*(sqrt(8) + sqrt(128))) + -4*(-2 + sqrt(57)/sqrt(3))**2.
-95 + 399*sqrt(19)/25
Simplify ((sqrt(378)*1*4)/((sqrt(72)/sqrt(4))/sqrt(3)))**2.
1008
Simplify 3*(-5*(sqrt(306)*1 + sqrt(306)))/(((sqrt(24) + -2*sqrt(24) - sqrt(24)) + sqrt(24))/sqrt(12) - (sqrt(2) + (3*sqrt(2)*-2 + sqrt(2) - sqrt(2)))).
-45*sqrt(17)/2
Simplify 4 + (0 + sqrt(2299))*3 + sqrt(2299) + sqrt(2299) + -2 + 5.
7 + 55*sqrt(19)
Simplify -1*(sqrt(200) + 1 + 1 + sqrt(200) + 4 + (sqrt(200) - (sqrt(200) + 1)))**2*3.
-2475 - 600*sqrt(2)
Simplify ((sqrt(102) + (-2*sqrt(102)*-2 - sqrt(102)) + (sqrt(102) - -2*sqrt(102))*-6)/(-3*2*sqrt(96)))**2.
833/144
Simplify 4*(-4 + (sqrt(11) - sqrt(11)*2) + sqrt(44)/(4*sqrt(4))).
-16 - 3*sqrt(11)
Simplify (3 + (0 + sqrt(891) - sqrt(891)) - -6*(sqrt(891) + -1 + sqrt(891)) - | {
"pile_set_name": "DM Mathematics"
} |
is the tens digit of h?
6
Let r be (-5 + -1)*(-6)/18. Suppose g - r = 3*s - 29, 14 = -2*g - 4*s. What is the units digit of (228/g)/((16/(-60))/2)?
4
Let r be (-21)/14*(-28)/3. Suppose -660 = -r*y + 1342. What is the hundreds digit of y?
1
Let i(h) = -534*h + 230. What is the thousands digit of i(-16)?
8
Let q = 41 + -42. Let s be (-1)/(-6) + (q - (-2103)/18). Suppose 0 = 6*h - 10*h + s. What is the tens digit of h?
2
Let o(d) = -d**3 - 9*d**2 - 2*d - 13. Let w be o(-9). Suppose -3*b - w*f + 29 = -553, 0 = 4*b + 5*f - 776. What is the units digit of b?
4
Let n = 1993 - -2685. What is the hundreds digit of n?
6
Let n = -19189 + 20473. What is the hundreds digit of n?
2
Suppose -2*y = 3*p - 42480, -70800 = -p - 4*p + 4*y. What is the hundreds digit of p?
1
Suppose 1115*p - 1113*p = 1522. Let o = p - 414. What is the tens digit of o?
4
Suppose -v + 1 = 0, -27*q + 5*v = -32*q + 61815. What is the ten thousands digit of q?
1
Let t(n) = 128*n**2 - 123*n - 1091. What is the hundreds digit of t(-10)?
9
Let i(d) = -d**2 + 6*d + 7. Let q be i(8). Let b be (-60)/(-8)*(-1 - q/5). Let n(k) = 7*k + 18. What is the units digit of n(b)?
0
Let u = 4 + -1. Suppose 163*w - 21 = 162*w. Suppose -u*m = -0*m - w. What is the units digit of m?
7
Let l(o) = -o**3 + 11*o**2 - 15*o - 24. Let v be l(9). Suppose -i = -4*b - 53, 2*i - 3*i - v*b = -46. What is the tens digit of i?
4
Let t = -49 + 5. Let l = -1323 - -1425. Let a = t + l. What is the units digit of a?
8
Let i be ((-36)/(-10))/(2/(-10)). Let t be (2/(-4))/(5 + 93/i). What is the tens digit of (-4 - (-344)/t)/(2/3)?
6
Suppose m - 5*w + 13 = -3*m, 3*w = -m + 18. Suppose -18 = 3*z + m*z. What is the hundreds digit of (4 + 0)/(z/(-132))?
1
Let l = 5123 - -3352. What is the tens digit of l?
7
Let t = -30235 - -45480. What is the ten thousands digit of t?
1
Suppose -34*s = 875313 - 2459611. What is the tens digit of s?
9
Let y = -4635 + 9664. What is the hundreds digit of y?
0
Suppose -q = 3 + 1. Let u be (-6*1/q)/((-9)/(-2148)). Suppose 0 = -5*j + u + 17. What is the tens digit of j?
7
Suppose b + 4*c = 2315, 31*c - 34*c + 4630 = 2*b. What is the units digit of b?
5
Let x = -15 + 19. Let k be x*5 + 0/18. Suppose k*f - 15*f = 920. What is the hundreds digit of f?
1
Let i = -86 + 88. Let u(x) = -4*x**2 + 180*x + x**2 + 8 + 2*x**2 + 10*x**3 - 186*x. What is the tens digit of u(i)?
7
Suppose 59*f = 400*f + 121*f - 22518342. What is the ten thousands digit of f?
4
Suppose 4*i = -2*a + 2, 5*i - 2*a = -0*a + 16. Suppose 1 + 7 = i*d. Suppose 3*q - 4 + 13 = d*p, -2*p + 17 = q. What is the units digit of p?
6
Let g(p) be the third derivative of -p**5/30 - p**4/2 - 5*p**3/3 + 23*p**2. Let b be g(-5). Suppose b = -3*q + 4*q - 98. What is the tens digit of q?
9
What is the hundreds digit of 5280 + -8 + 75/(-15)?
2
Let b(k) = 122*k + 83. What is the units digit of b(35)?
3
Suppose 10*q - 1162729 - 785191 = -120*q. What is the thousands digit of q?
4
Let y(a) be the first derivative of 14*a - 5*a + 0*a - 14*a**2 + 17 - 3*a. What is the units digit of y(-2)?
2
Let y be 1/((-1)/(2*17)). Let a = -222 - -186. Let f = y - a. What is the units digit of f?
2
Let a(w) = w**2 - 4*w + 15. Let r = -72 + 80. What is the units digit of a(r)?
7
Let w(l) = -l**2 + 58*l + 6353. What is the units digit of w(0)?
3
Suppose -61*y + 330667 = -44788. What is the hundreds digit of y?
1
Suppose 5*j - 18 = 3*w, 11 = -j + 5*j + w. Suppose -1381 = -j*p - 5*n, p + 7*n - 5*n = 460. What is the tens digit of p?
6
Let z(r) = -r**2 - 13*r + 82. Let a be z(4). Suppose 0 = -a*d + 9*d + 295. What is the tens digit of d?
5
Let i(a) = -54*a + 265. Let c be i(5). Let k(x) = 12*x**2 + 8*x - 5. What is the hundreds digit of k(c)?
2
Let n(s) = -20*s. Let t be n(-11). Suppose -650 = -10*y + t. What is the tens digit of y?
8
Let i = -217 - -238. Suppose 0 = -i*w + 19*w + 2814. What is the units digit of w?
7
Suppose -135*f + 183796 + 342414 = -34*f. What is the thousands digit of f?
5
Let o(q) be the third derivative of 1/60*q**5 + 0*q - 2/3*q**3 + 1/24*q**4 - 41*q**2 + 0. What is the units digit of o(10)?
6
Suppose 22*y - 1196 = 9*y. Let i = 19 - y. Let x = i + 147. What is the tens digit of x?
7
What is the hundreds digit of 7*(-3)/(-6)*(-48)/24 + 10092?
0
Let k = -274 - -287. Suppose 17*p = k*p + 3212. What is the hundreds digit of p?
8
Suppose -20*x - 69 = -349. Suppose 6462 = x*k - 328. What is the units digit of k?
5
Let w(l) = 14177*l - 3324. What is the hundreds digit of w(3)?
2
Let z be 6/5*35/3. Let a(y) = -10 - y**3 - 7*y**2 + 14*y - z*y + 2*y**3 + 12*y. What is the tens digit of a(9)?
6
Suppose 0 = 5*w - 5*r - 3700, r - 2*r = -4. What is the tens digit of (7/14)/((-742)/w - -1)?
8
Let g(t) = t**2 + 19*t + 6. Let w be g(-19). Let z be ((-34359)/(-26))/(9/w). Suppose 7*d - z = 57. What is the hundreds digit of d?
1
Let s(a) = -a**3 + 6*a**2 + 23*a - 135. Let k be s(5). Let l(y) = -3 + 1 + 2 + 37*y. What is the hundreds digit of l(k)?
1
Let f(y) = 47*y - 19. Let u be f(-2). Let x = u + 142. What is the tens digit of x?
2
Let v(s) = 11*s**2 - 37*s - 890. What is the units digit of v(-42)?
8
Let t = 33052 - 18477. What is the ten thousands digit of t?
1
Let c(g) = -2*g**3 + g**2 + 8*g - 13. Let q = -36 + 40. Let o be c(q). Let r = -83 - o. What is the tens digit of r?
1
Let f(v) = 95*v + 10*v**3 + 93*v + 3 + 3*v**2 + 4 - 193*v. Let h(z) = -z**2 + 9*z + 2. Let g be h(9). What is the tens digit of f(g)?
8
Suppose -3*g - 20 = -7*g. Suppose 17183 = 83*m - 19*m - 15777. Suppose 2*p - 3*x - m = -4*x, g*p - 1268 = 4*x. What is the tens digit of p?
5
Suppose -1 = 3*h - 46. Let p be h*4*1/12. Suppose 4*l - 101 = 3*d + 52, p*d = l - 34. What is the tens digit of l?
3
Suppose -18717642 = -378*x - 337*x + 29215958. What is the thousands digit of x?
7
Let s = 18730 + -11744. What is the hundreds digit of s?
9
Suppose -3*s + 1 = 1. Suppose -7*r + 20*r - 5538 = s. What is the units digit of r?
6
Let d(t) = t**2 - 4*t - 2. Let f be d(6). Let z(u) = 11*u - 57. Let g(p) = -22*p + 111. Let q(h) = -4*g(h) - 7*z(h). What is the units digit of q(f)?
5
What is the tens digit of -212*((-159)/4 - -15)?
4
Let z = 6110 + -2596. What is the tens digit of z?
1
Let t be (-9*(-4)/(-42))/(2/14). Let w be (-100)/(-12) + -1 - (-2)/t. Suppose w*d - 6*d = 114. What is the hundreds digit of d?
1
Suppose 75 = -67*g + 70*g. Suppose g*x = 20*x + 4210. What is the hundreds digit of x?
8
Let f(p) = -p**2 - 8*p + 7. Let g be f(-10). Let o(s) = -2*s - 22. Let u be o(g). Suppose -245 = -u*r + 139. What is the units digit of r?
6
What is the ten thousands digit of -7071*(21/12)/(96/(-128))?
1
Suppose -708*y - 347820 = -742*y. What is the units digit of y?
0
Suppose -42*i + 13919 + 43285 = 0. Suppose 4*m - i - 310 = 0. What is the tens digit of m?
1
Suppose -6*r - 5733 - 453 = 0. Let j = -546 - r. What is the tens digit of j?
8
Let y(f) = -f**3 - 2*f**2 - 5*f - 25. Let w be y(-4). Suppose 0*m = -2*m. Suppose m = -4*a + 123 - w. What is the units digit of a?
4
What is the tens digit of (0 - (-16076)/24)*(-1 - -4)*4?
3
Suppose -69*f + 103474 = -21*f - 82142. What is the hundreds digit of f?
8
Let u = 3183 - 734. What is the tens digit of (5 - 26/6) + u/3?
1
Suppose 24 = 29*d - 21*d. Suppose 0 = 4*l + d*r - 5*r - 3020, 0 = -5*l - 5*r + 3745. What is the tens digit of l?
5
Let f = 8377 - 2389. What is the tens digit of f?
8
What is the hundreds digit of 10/(-15) - 6/((-90)/123445)?
2
Suppose 0*f + 998 = -2*s + 4*f, -2*s = -f + 1004. Let v = -427 - s. What is the tens digit of v?
7
Let s(v) = 101*v - 100. Suppose 15 = -45*a + 50*a. What is the tens digit of s(a)?
0
Let s be -2 + (-28)/(-8) + (-35)/(-2). Suppose -s*i + 900 = -16*i. What is the tens digit of i?
0
Suppose -6929 = 28*o - 15*o. Let j = o + 1095. What is the tens digit of j?
6
Let q = 26140 - 17983. What is the thousands digit of q?
8
Let s = -3527 - -5920. What is the thousands digit of s?
2
Let h be -18 - (-3)/(3/(-4)). Let d = 22 + h. Suppose d = l - 42 - 21. What is the units digit of l?
3
Suppose -1891 = -22*g - 505. Let d = g - -25. What is the tens digit of d?
8
Suppose -3*d + 13*b = 18*b - 25132, -5*d + 41908 = 3*b. What is the tens digit of d?
8
Let g(u) = u**2 + 3*u**2 + 2 + 11 + 9*u + u. Let l be g(-12). Suppose -3*c - 166 = -l. What is t | {
"pile_set_name": "DM Mathematics"
} |
g**2 - 37*g - 163. List the prime factors of z(-8).
3, 349
Suppose 3*n + 29 = 5*c, 0 = 4*n + 5*c + 9 + 18. Let o(t) = t**3 + 8*t**2 - t - 6. Let k be o(n). List the prime factors of (35 - k) + -5 + 3.
31
Let a = 625 + -346. What are the prime factors of a?
3, 31
Let l(d) = -3*d - 2 - 3*d**2 + 2*d**2 + d**2 + d**2. What are the prime factors of l(-10)?
2
Let p(x) = -x**3 - 9*x**2 - 22*x - 10. What are the prime factors of p(-12)?
2, 7
Let f(h) = h**3 + 6*h**2 + h + 10. Let s be f(-6). Suppose 0 = -12*t + s*t + 536. Suppose -3*y = -t - 122. List the prime factors of y.
3, 7
Let z = -42 + 32. What are the prime factors of (-13)/4*(2 + z)?
2, 13
Let h = -8 - -2. Let c = 13 + h. Let a(b) = -b**2 + 8*b + 9. What are the prime factors of a(c)?
2
Let k(t) = t**2 - 9*t + 1. Let v(w) = w. Let i(a) = k(a) + 6*v(a). Let x be i(4). Suppose -x*g = 0, 4*b + 0*b - 44 = 4*g. What are the prime factors of b?
11
Suppose 6*a - 2*a - 190 = -f, -174 = -f + 4*a. List the prime factors of f.
2, 7, 13
Suppose 4*y + u + 0*u = 7, 2*u = -2*y + 2. What are the prime factors of 1488/12 - 0/y?
2, 31
Let l = 449 - 320. Let u = l + -92. What are the prime factors of u?
37
Let g(o) = 4*o + 2. Let u be g(1). Let h be 31/(-6) + 1/u. Let r(w) = 4*w**2 + 10*w. What are the prime factors of r(h)?
2, 5
Suppose -g = -2*g. Let h = -173 - -182. Suppose g = 6*y - 3*y - h. List the prime factors of y.
3
Let a(q) = -2*q - 6. Let z(j) = -j**3 - 5*j**2 + 6*j - 3. Let t be z(-6). Let g be a(t). Suppose 3 = -f - 1, -u + 2*f + 10 = g. What are the prime factors of u?
2
Suppose 0 = -b, 3*v - 2 = 2*v - 4*b. Let y(m) = 16*m**3 - 4*m**2 + 6. What are the prime factors of y(v)?
2, 59
Suppose -43*f + 36*f + 12957 = 0. What are the prime factors of f?
3, 617
Let h(p) = -p**2 + 18*p - 14. Let f = -36 - -43. What are the prime factors of h(f)?
3, 7
Let i(p) = 4*p**2 + p. Let q be i(-1). Suppose m + 144 = q*m. List the prime factors of m.
2, 3
Let p(x) = x**3 + 7*x**2 - 13. Let b be p(-7). Suppose 0 = -3*y, 2*y + 2*y = -3*l + 42. Let v = l - b. What are the prime factors of v?
3
Let u be -4 - (0 + 1)*-8. Let h be (-27)/(-6) - (-6)/u. Suppose 10 = -h*r + 76. What are the prime factors of r?
11
Let f be (-2)/7 - (-185)/35. Let h(k) = -f*k - 7 + k**2 + 8 + 6. List the prime factors of h(5).
7
Suppose -2*m - 555 + 45 = 0. Let s = 371 + m. List the prime factors of s.
2, 29
Suppose 59 = -5*x + 2*t - 506, -2*x + 3*t - 215 = 0. Let b = x - -131. What are the prime factors of b?
2
Let m(l) = -11*l**3 - 5*l**2 + 10*l - 30. What are the prime factors of m(-6)?
2, 3, 13
Suppose -m = -4*l - 3, -12 + 3 = 3*l. Let x = m - -9. Suppose -z - 5*z + 288 = x. List the prime factors of z.
2, 3
Suppose -4*h + 16 = -w, -4*w - 4 = 12. Suppose 0 = 2*d + 8, -4*d - 76 = -h*t + 5*t. List the prime factors of -5 + (3 - 1) - t.
3
Let l be 5/(-2) + 7/14. Let b be 5 + l + (29 - -2). Suppose 3*u - b = -4. List the prime factors of u.
2, 5
Let k(y) be the first derivative of 3*y**2/2 + 16*y + 5. Let b be k(18). Suppose b = -6*l + 11*l. List the prime factors of l.
2, 7
Let v be ((-33)/(-12))/(3/24). Suppose v - 2 = 5*p. Suppose 4 = -p*r, -5*t + 0*r = r - 34. List the prime factors of t.
7
Suppose -4*r + 7*r + 24 = 0. Let a = r + 11. Suppose 0 = -5*b + a*d + 180, 3*d - 42 = 4*b - 189. List the prime factors of b.
3, 11
Let j(o) = 3327*o**2 + 23*o - 22. List the prime factors of j(1).
2, 13
Suppose -558*s + 534*s + 49800 = 0. What are the prime factors of s?
5, 83
Suppose -11 + 1103 = 6*x. Let y = -126 + x. What are the prime factors of y?
2, 7
Let p(x) = -1786*x - 34. What are the prime factors of p(-2)?
2, 29, 61
Let m be 8*(19/8 + -3)*4. Let f = m - -66. What are the prime factors of f?
2, 23
Suppose -3*f + 7 = -5. Suppose f = -g - g. What are the prime factors of g + 0 + 23 + -4?
17
Let i(u) = -u**2 + 19*u - 14. Let g be i(8). Suppose g = 3*y - 31. What are the prime factors of y?
5, 7
Let i(y) = -y + 7. Let k be i(4). Suppose -w + 47 = -3*u + k*w, 3*u - 2*w + 43 = 0. Let m = -9 - u. List the prime factors of m.
2
Suppose -4*x - 5*s + 19850 = 0, -2*x - s = 2*x - 19842. List the prime factors of x.
2, 5, 31
Suppose -4 = 5*x - 7*x, 5*g = 4*x + 567. What are the prime factors of g?
5, 23
Let v(a) = -a**3 - 12*a**2 - a + 17. Let s = -32 - -20. What are the prime factors of v(s)?
29
Let r be 3/(-12)*-4 + 3. Suppose -3*x = -5*f + 344, -r*x + 200 = 3*f - 9*x. Suppose 4*t = 18 + f. List the prime factors of t.
2, 11
Let c(z) = -z**2 - 7*z. Let m be c(-6). Let s(o) = 5*o + 5 + o**2 - 4*o - 4*o. List the prime factors of s(m).
23
Let f(c) = 2*c - c + 0*c + 2*c. Let z be f(3). List the prime factors of (z + -5)/((-2)/(-5)).
2, 5
Suppose 3*t = -3*a + 2554 + 893, 2*t = 3*a - 3447. What are the prime factors of a?
3, 383
Suppose -3*v - b = -26 - 2267, 4*v = -4*b + 3052. What are the prime factors of v?
3, 5, 17
Let a = -52 - -181. What are the prime factors of a?
3, 43
Let g(q) = q**2 + 8*q - 11. Suppose 0 = -5*h + 2*j + 18, 0 = -8*h + 12*h + 2*j. List the prime factors of g(h).
3
Let s = -42 + 80. Let o = s - -8. List the prime factors of o.
2, 23
Let p be (6/5)/((-6)/(-20)). Suppose p*i - 18 = -2*i. Suppose 85 = 4*h + a - 75, -i*a = 4*h - 168. What are the prime factors of h?
3, 13
Let q(k) = 30*k - 1. Let p be q(-4). Let i = 219 + p. Suppose -112 = -3*b + c, 4*c - i - 100 = -5*b. What are the prime factors of b?
2, 19
Let u be 12 - (3 + (-4 - -3)). List the prime factors of (u/3 - 2)*18/4.
2, 3
Suppose -59*t + 15 = -62*t. Let w(l) = -l**3 - 4*l + 7. What are the prime factors of w(t)?
2, 19
Suppose 0 = -2*a + 7*a - 120. Let o = a - 38. List the prime factors of (o/8)/((-7)/56).
2, 7
Suppose 4 + 4 = 4*q. Let j(l) = l**3 - 4*l**2 - 4*l + 33. Let t be j(4). Suppose -m - u + t = 0, 2*m + 2*u + q*u - 38 = 0. What are the prime factors of m?
3, 5
Let m(n) = -n**2 - 2*n + 1. Let j be m(-2). Let d(i) = 0*i - j + i + 4*i - 5. What are the prime factors of d(4)?
2, 7
Suppose -p + 4*d = p - 36, 13 = p - d. Let b be (-6)/8 - (-54)/p. Suppose -n + b*n = 100. What are the prime factors of n?
2, 5
Let f = 557 + -230. List the prime factors of f.
3, 109
Suppose 0 = -25*u + 31*u - 4044. What are the prime factors of u?
2, 337
Let n(m) = m**3 + 12*m**2 - 14*m + 17. Let i(g) = 8*g + 1. Let q be i(4). Suppose 7 - q = 2*b. List the prime factors of n(b).
2, 3, 5
Suppose -3*w + 7*w = -t + 164, 0 = -w + 3*t + 41. What are the prime factors of w?
41
Suppose 75*n = 74*n + 54. What are the prime factors of (3 - 0/(-1)) + n?
3, 19
Let h = 958 - 905. List the prime factors of h.
53
Suppose -n - 6*u + u + 1478 = 0, -5*n + 4*u = -7245. List the prime factors of n.
1453
What are the prime factors of (2011/2)/((-8)/(-16))?
2011
Let c(a) = a**2 + 8*a - 5. Let x be c(-9). Suppose -2*g = 6*h - 2*h - 316, 0 = -g - x*h + 158. What are the prime factors of g?
2, 79
Let k(z) = 2*z**2 - 46*z + 15. List the prime factors of k(25).
5, 23
Let l(d) = -5 + 3*d + 11*d**3 - d**2 - 5*d**3 + 0*d**2 - 5*d**3. List the prime factors of l(4).
5, 11
Let d(m) = 6*m - 8. Let o(a) = -a**3 - a**2 + a + 1. Let b be o(-2). Let g be 9 + (-4)/(b - 1). What are the prime factors of d(g)?
2, 17
Suppose 2*u = 4, 3*z - z - 622 = u. Suppose 2*n - z = -0*n. List the prime factors of n.
2, 3, 13
Let m(r) = 8*r**3 - 245*r**2 - 36*r + 37. What are the prime factors of m(31)?
2, 11, 41
Suppose 1156 = 4*c - 1644. Suppose 3*p + y - 430 = 0, -126 = 4*p + 2*y - c. List the prime factors of p.
11, 13
Suppose -h = -4*h. Suppose 0 = 3*m - h*m - 21. What are the prime factors of m?
7
Let l = -38 - -38. Suppose 3*d + 19 - 157 = l. What are the prime factors of d?
2, 23
Let w = 118 + -9. Suppose -2*p + 5*t + w = 0, -t + 144 = 4*p - 41. List the prime factors of p.
47
List the prime factors of (0 + 6)/30*4390.
2, 439
Let z(l) = 4*l**3 - l**2 + 2*l - 3. Let r = -21 - -23. Let m be z(r). Suppose 4*q - 111 = -5*o, 0*q - q + m = o. List the prime factors of q.
2, 17
Let m = -76 + 49. Let u be m/(-9) - (0 - 1). Suppose -v + 167 = 5*k + v, 156 = 4*k - u*v. What are the prime factors of k?
5, 7
Suppose -4*s = -3*n - 5330 - 3462, 0 = -2*s + 2*n + 4398. List the prime factors of s.
5, 439
List the prime factors of (6 - 156)*(-20)/8.
3, 5
Let w be (-216)/7 - 10/70. Let a = -6 - w. List the prime factors of a.
5
List the prime fac | {
"pile_set_name": "DM Mathematics"
} |
y. Suppose 8 = 4*a - y. Solve -4*k + 16 = -4*l, l = -5*k + a*k + 8 for k.
4
Let o(i) = -3*i**2 - 5 + 0*i**2 - 52*i + 0 - 7. Let g be o(-17). Solve 2*x - 10 = -2*q, 5*q - 3*x - g = 4 for q.
3
Let z = -1854 - -1867. Solve 3*f + 5*o - 20 + z = 0, 3*f + 7 = 2*o for f.
-1
Let f = 12 - 10. Suppose 0 = -4*a - f*g + 14, 10 = 3*a + g + 2. Suppose x = -a + 5. Solve x*z - 6 = -3*t - 5, -2*t + 3*z = 5 for t.
-1
Suppose 62 = -7*y + 132. Solve -3*w = -w - h + y, -2*w + 2 = 5*h for w.
-4
Suppose 0 = 3*t - 3*q - 24, t + 9 = 5*q + 33. Suppose 0 = -0*u + 3*u - 33. Solve u = -2*o + p, t*o - 3*p = 2*p - 31 for o.
-4
Let s = 184 + -116. Suppose -s*k = -63*k - 25. Solve -5*u + 2*a = 3 - 4, 0 = k*u - 4*a + 3 for u.
1
Suppose -n = -17 - 3. Suppose -126*f = -130*f + n. Let s be (-1)/(-2)*(0 - -2). Solve -3*m = 2*x - s + 3, f*x + 16 = -2*m for m.
2
Let l(y) = -y**3 + 7*y**2 - 15*y + 11. Let n be l(3). Solve b = 3*w + 17, n*w - 2*b = -3*b - 8 for w.
-5
Let x be -2*(-2 + 0) - -11. Let g(z) = z**3 - 14*z**2 - 15*z + 9. Let w be g(x). Let m be (-3)/2*(-12)/w. Solve 0 = 2*y - 5*q + 22, m*y - 3*q + 15 = -y for y.
-1
Suppose -18 = -2*o - 4. Suppose 9*f = o*f + 8. Solve 0 = 4*j + f*k - 28, -1 = -0*j + j - k for j.
3
Suppose 0 = -3*z - 2*u + 39, -5*z + 87 + 0 = -4*u. Solve -5*j - 13 = -4*v, -3*v + 4*j - 5 = -z for v.
2
Let v be (-182)/(-35) - (-2)/(-10). Suppose 0 = 5*d + a - 30 - 4, -v*a = -20. Suppose 4*q = d*q. Solve -3*u - 2*m - 1 = -0*u, q = 4*m + 20 for u.
3
Suppose 0 = 5*r - c - 2, 4 = r - 8*c + 9*c. Let u = 13 + -4. Solve -r = -o + 2*t, 0 = -o - 4*t + u - 2 for o.
3
Let c = -113 - -117. Solve -t - 3*s = 16, -c + 12 = 2*t - 4*s for t.
-4
Let c be (-36)/8*12/(-18). Suppose 4*i = -c*n + 37, 3*n = n - 5*i + 34. Solve -n*x - 4*k = -2*x + 21, -k = -1 for x.
-5
Suppose 0 = 19*f + f - 80. Solve 4*q = f*k - 3*k - 22, 0 = 2*k + 2*q + 6 for k.
2
Suppose 8*x - 6*x = 52. Solve 5*z - x = 4*l, -6*z = l - 3*z - 2 for l.
-4
Let t be -1*3/((-1)/1). Suppose w + 22 = 3*z + t*w, -3*z + 4*w - 8 = 0. Solve 0 = z*l - q - 14, -3*q - 2 = -2*q for l.
3
Let m = -422 + 426. Solve m*a - 1 + 7 = -3*j, -3*a - 9 = 0 for j.
2
Let d(a) = a**2 + 3*a - 6. Let v be d(-5). Suppose 2*l - 2 = -0*l. Suppose -3*c = -5*z + l + v, 5 = -4*c + 5*z. Solve -3*i - 12 = c, 0 = u - 5*i - 26 + 2 for u.
4
Let s be (1 - 3) + (31 - 27). Suppose 21 = 3*k + 3*n, -4*k + 0*n = n - 25. Suppose 0*v = -v. Solve v = 5*u + s*h - k, h = -u - 0*h for u.
2
Let x(v) = 14*v**2 + 84*v + 1. Let y be x(-6). Solve -2*r - y = -2*g - 5*r, 0 = 3*g - r + 4 for g.
-1
Let l be (16 - (2 + 1)) + (-6)/(-2). Suppose 3*f = 7*f - l, 3*i - f = 2. Solve -3*s = -4*t - i*s + 14, 3*t - 14 = -s for t.
4
Let q(u) = u**3 + 6*u**2 - 20*u - 28. Let t be q(-8). Solve -b = -4*h - t, -2*b + 0*b = -2*h - 2 for b.
0
Suppose -2*d - 5*p + 8 = 0, -8*d + 4*d + 2*p = -16. Solve 12 = 3*i - 4*o + 29, 14 = -2*i + d*o for i.
-3
Suppose -2*n + 15 = q - 7*n, -5*n = -3*q + 55. Suppose 6*u - 2*u - q = 0. Solve 0 = -4*i + 3*g + 3, -u*g = -2*i - 3*g for i.
3
Suppose -2*h + 56 = -2*k + 62, 0 = -4*k - 5*h - 15. Solve -7*v + 12 = -2*v - 3*l, k = 4*v - 4*l - 16 for v.
0
Let i(s) = 5*s + 16. Let g be i(-7). Let m(d) = -d - 19. Let q be m(g). Solve -4*r + 3*o = -35, -o = -4*r - q*o + 25 for r.
5
Let z = 21 + -7. Suppose -4*t - 2*f + z = 0, 0 = 5*t + f - 11 - 5. Suppose -24 = -4*r + 4. Solve -3*n + t = 3*g, -4*n - 23 = -r*n + 2*g for n.
5
Let s be -100 - -107 - 4/(2/2). Let n(p) = 0 - 12 + 2*p + 2. Let m be n(7). Solve -m*t = 4*i - 24, 2*t + s*i + 2 = 3*t for t.
5
Let l be (28/(-154))/(1/(-11)). Solve 5*y - 2*p - 15 = 0, -l*y + 2 = -5*p - 25 for y.
1
Let a be (0 + 1)/((-4)/(4 - 268)). Let m = a - 64. Solve 2*r + 6 + 0 = -m*g, 0 = 2*r - 4*g + 6 for r.
-3
Suppose 24*x - 4 = 284. Solve -4*h + y + 21 = 0, -2*h + x = h + 3*y for h.
5
Let f be (2/(-6))/(867/(-144) - -6). Suppose 4 - f = -4*x. Solve 0 = 4*n - o + 17, o + x*o - 11 = -3*n for n.
-3
Let o be (-1)/(3/(-18)) + 2. Suppose 3*v = v + o. Suppose -2*g = d + 1 - 2, -3*d + 23 = -v*g. Solve -d*x - 3*l - 4 = 0, -3*x = -0*x + l for x.
1
Suppose -3*j = -3*c - 3, c = -4*j - 4*c + 22. Suppose 7 = -5*f + 27. Solve j*u - 5 = 5*b, 17 + 15 = -f*u - 3*b for u.
-5
Let k be -2 - -2*(-10)/(-4). Let j(p) = 2*p**3 - p**2 + 3*p - 3. Let f be (1 - 9/2)*(-4)/7. Let t be j(f). Solve 4*u - 4 = 2*b, -b - k*u - t = 2*b for b.
-4
Suppose 3*t - 4*f + 10 = 0, 0*t + 8 = 2*t + f. Let l = 1786 + -1783. Solve b - 6*b + l*q = 16, 0 = t*b + 4*q + 22 for b.
-5
Let g(l) = 66*l - 259. Let u be g(4). Solve -v + 4*s + 5 = 0, 4*s + 21 = -u*v + s for v.
-3
Suppose -4*o = 5*f - 17, -5*o - 1 - 9 = 0. Solve -2*h - 3*q = 3 - 0, 5 = -2*h - f*q for h.
0
Suppose -46*w + 44*w = 0. Suppose 0*n - 18*n + 306 = w. Solve 5*f - 3*q - n = 0, 20 = -4*q - q for f.
1
Let t(f) = f + 1. Let c be t(2). Let b(k) = -k**2 + 1 + 0 + 2*k + 6 - 4. Let u be b(3). Solve 4*w + 5*a = -1, 4*a + c = -u*w - w for w.
1
Let n be ((-45)/(-25))/((-28)/30 - -1). Suppose -25 = 5*k, -3*o + n = -2*o - 4*k. Solve -3*t - 9 = 3*r, -4*r - 3 - o = 3*t for r.
-1
Suppose -4*l + 21 = b, -14 = 4*b - 5*l + 7. Solve 12 = -4*h + 2*x, 4*h - 5*x + 13 - b = 0 for h.
-3
Let j = -1340 - -1358. Solve -4*y + 5*h = -27, -7*y + 3*y + 2*h = -j for y.
3
Let h be 91 + -5*4/(-10). Let i = 97 - h. Solve 3*k - 13 = -2*g + 2*k, 3*g = i*k - 8 for g.
4
Suppose 51 = 3*m - 0*m. Suppose 8*g = -1 + m. Solve -g*z + 13 = b, 0*z - b + 9 = z for z.
4
Let g = -14 + 8. Suppose -2*z + u = 15, -z - z = 4*u + 30. Let m = g - z. Solve 4*w = 3*t + 4, -m*w - 2*t + 4*t = -3 for w.
1
Let i = 23 - 14. Let r = i - 2. Suppose -r*b = -5*b - 4. Solve 3*z + 4 = -n, 4*z = n + b + 2 for n.
-4
Let z = -7 - -13. Suppose -4*l - 12 = 0, 4*b + 16*l = 21*l + 127. Solve 2*a = -3*m - 11, -z*a = -2*a - 4*m - b for a.
2
Suppose -5*f - 2 = -i, -3*i + 4 = f - 18. Let u be (-16)/(-14)*(-112)/(-32). Let g be i + u/(-16)*0. Solve -4*y - 1 = -4*q - 5, g = y + 5*q for y.
2
Suppose 76 = 4*q + 16. Let z be (-3)/12*-4 + 1. Solve y + 25 = -5*s, s + q = -5*y - z*s for y.
0
Let d be 2*(-2 + -2)/(-2). Let s(b) = -b**2 + 5*b + 2. Let r be s(5). Let h = -2 + 4. Solve -d*q = y - 9, -r = -h*q + q for y.
1
Suppose 9*j = 5*j. Suppose -3*l + 5*d - 268 + 54 = j, 0 = 5*l + 5*d + 410. Let u be 2/(-3) + l/(-9). Solve 0 = 2*x + f + 4, -5*x - u = -4*f + 2 for x.
-2
Suppose -5*p = 149 - 164. Let m be (-26)/(-8) - (-4)/(-16). Solve c + 2*c = 2*l, -m*l = p*c for c.
0
Let w = -743 - -748. Solve w*f = q + 5, 2*q - 10 = 4*f + 4*q for f.
0
Suppose -11*i + 430 - 386 = 0. Solve -f = -2*x - i, -3*x + 0*f - 1 = -4*f for x.
-3
Let i = 2196 - 2193. Solve -5*k = -2*k, 0 = i*x + 2*k + 15 for x.
-5
Let g = 61 + -57. Suppose g*o - 5*w = 41 - 5, o = 2*w + 12. Solve -4*s = 4*k + s - 2, k = s - o for k.
-2
Let a(o) = 5*o + 5. Let c be a(-8). Let b = c - -38. Solve 5*s - 25 = 5*x, -b*x - 15 = 3*s - 0 for x.
-5
Suppose 7*b - 11 = 2*r + 2*b, 0 = 3*b - 3. Let q be (-13)/6 - r/18. Let j = 0 - q. Solve c = 5, -j = l - 2*c + c for l.
3
Let t be (-4)/14 - 14/(-49). Suppose 25 = -5*b, 2*y + 0*b - b - 1 = t. Let h = 2 - y. Solve -3*r - 20 = h*j, -4*j = 10 - 2 for r.
-4
Suppose 5*h - 16 = -2*c + 4, 5*c = 0. Solve 0 = 2*k - 3*r + 10, 0*k - h*r - 20 = 4*k for k.
-5
Let j(g) = -5*g**2 + 6*g - 2. Let p be j(2). Let h be ((0 - 5)/p)/(1/6). Solve h*u = -4*v - 0*u + 22, 2*v + 2*u - 12 = 0 for v.
4
Suppose 0 = 7*h + 7*h - 56. Solve 2 - 14 = -4*c - 2*s, 3*s = -h*c + 14 for c.
2
Let g(h) = h**3 + 9*h**2 + 47*h + 425. Let w be g(-9). Suppose 4*d - 2*c = 122, -c = -3*d + c + 94. Solve -3*n - 2*m = -20, -w*n - n = 4*m - d for n.
4
Let l be 2/(1/6*4). Let x(m) = -4*m**2 + 3*m**2 + 2*m**2 + 165*m - 167*m. Let k be x(l). Solve -5*p - 5 = -5*i, k*p - i = -0*p - 3 for p.
-1
Let s = -35 - 30. Suppose 3*f = 4*f + 13. Let u be ((-28)/(-10))/(f/s). Solve -v + j + 4 = 0, 0*v + 2*v = 4*j + u for v.
1
Suppose -11*w - f = -14*w + 30, 9 = -3*f. Solve 0 = 5*s - 10*s + 3*l + w, s = -3*l + 9 for s.
3
Suppose 3 = t, 3*t - 4 - 1 = 2*l. Let g(x) = -x**3 + 7*x**2 - 9*x + 17. Let j be g(7). Let z = -33 - j. Solve -2*v - 4 = l*y, 0 = v - 5*v + y - z for v.
-3
Let v(z) = z**2 - 3*z - 7. Let f be v(5). Suppose 4*p - f = 3*x, 1 = -5*p - 5*x + 4*x. Suppose -w - w + 8 = p. Solve 0*a = w*a + 2*b - 24, -b + 17 = 3*a for a.
5
Suppose 0 = 2*m + 2*k - 14, 3*k + k - 18 = -2*m. Suppose | {
"pile_set_name": "DM Mathematics"
} |
in base 4?
-30
-20 (base 3) to base 11
-6
What is 9 (base 10) in base 3?
100
What is 9 (base 12) in base 2?
1001
Convert -1042 (base 7) to base 3.
-111211
1 (base 14) to base 8
1
Convert 7 (base 11) to base 3.
21
What is 76 (base 11) in base 14?
5d
2200 (base 3) to base 9
80
What is -351 (base 9) in base 13?
-193
What is -3c (base 14) in base 13?
-42
Convert 222 (base 10) to base 2.
11011110
Convert -36 (base 13) to base 12.
-39
a (base 16) to base 9
11
-3 (base 12) to base 9
-3
Convert -3d (base 15) to base 8.
-72
What is 20 (base 3) in base 11?
6
Convert 87 (base 15) to base 3.
11201
10 (base 3) to base 15
3
-1211 (base 4) to base 12
-85
Convert -179 (base 10) to base 15.
-be
-1 (base 4) to base 2
-1
-5 (base 9) to base 3
-12
What is -213 (base 5) in base 12?
-4a
Convert 0 (base 8) to base 15.
0
Convert -10 (base 6) to base 11.
-6
What is 10000 (base 3) in base 16?
51
What is 4 (base 15) in base 7?
4
What is -4 (base 13) in base 5?
-4
3 (base 11) to base 14
3
What is 101 (base 5) in base 7?
35
What is -b (base 13) in base 7?
-14
What is -102 (base 3) in base 6?
-15
What is 120 (base 4) in base 10?
24
-35 (base 6) to base 2
-10111
Convert -3 (base 13) to base 9.
-3
61 (base 8) to base 16
31
Convert 10 (base 2) to base 11.
2
What is 6 (base 11) in base 7?
6
What is -31 (base 7) in base 15?
-17
-3 (base 5) to base 7
-3
What is 2 (base 15) in base 10?
2
-1 (base 4) to base 13
-1
Convert 0 (base 12) to base 2.
0
-1220 (base 5) to base 10
-185
1 (base 6) to base 5
1
-100 (base 3) to base 4
-21
What is 50 (base 8) in base 5?
130
Convert 13 (base 9) to base 6.
20
Convert -3 (base 5) to base 8.
-3
Convert -34 (base 5) to base 14.
-15
-1a (base 15) to base 13
-1c
What is -1001001 (base 2) in base 3?
-2201
Convert -6 (base 9) to base 2.
-110
Convert -8 (base 10) to base 9.
-8
Convert -2 (base 13) to base 12.
-2
Convert -103 (base 7) to base 3.
-1221
What is -610 (base 7) in base 16?
-12d
Convert 2 (base 4) to base 11.
2
Convert -33 (base 15) to base 13.
-39
-5 (base 8) to base 10
-5
Convert 331 (base 5) to base 3.
10101
Convert -3 (base 8) to base 10.
-3
What is -4 (base 15) in base 6?
-4
0 (base 7) to base 14
0
-1 (base 6) to base 3
-1
Convert 2 (base 14) to base 11.
2
Convert -15 (base 6) to base 8.
-13
What is 11 (base 10) in base 5?
21
Convert 1 (base 9) to base 14.
1
-b (base 15) to base 2
-1011
What is 353 (base 8) in base 12?
177
4 (base 5) to base 3
11
Convert -342 (base 8) to base 14.
-122
What is -3b (base 16) in base 9?
-65
Convert 74 (base 16) to base 13.
8c
What is 20 (base 5) in base 11?
a
What is -2 (base 8) in base 3?
-2
Convert -6 (base 11) to base 14.
-6
What is 1 (base 8) in base 9?
1
-10 (base 5) to base 6
-5
-6 (base 8) to base 13
-6
What is -2 (base 10) in base 7?
-2
-30 (base 8) to base 10
-24
Convert -93 (base 10) to base 15.
-63
Convert 210 (base 3) to base 5.
41
Convert -1a4 (base 12) to base 15.
-12d
-15 (base 6) to base 7
-14
1a6 (base 13) to base 15
155
Convert 1 (base 7) to base 2.
1
Convert -10 (base 5) to base 8.
-5
-8 (base 11) to base 14
-8
What is 87 (base 9) in base 4?
1033
Convert 35 (base 10) to base 2.
100011
What is 12 (base 4) in base 3?
20
What is -23 (base 9) in base 4?
-111
Convert -24 (base 16) to base 15.
-26
-11 (base 16) to base 14
-13
-3 (base 9) to base 6
-3
Convert -6 (base 13) to base 8.
-6
What is -1201 (base 3) in base 11?
-42
Convert -16 (base 9) to base 14.
-11
What is 1 (base 2) in base 7?
1
What is be (base 16) in base 9?
231
What is 29 (base 10) in base 2?
11101
What is 110010 (base 2) in base 13?
3b
What is -101 (base 2) in base 6?
-5
What is -20 (base 4) in base 14?
-8
What is -34 (base 13) in base 8?
-53
Convert 0 (base 9) to base 5.
0
8 (base 9) to base 2
1000
-11 (base 14) to base 3
-120
Convert a (base 11) to base 8.
12
104 (base 6) to base 11
37
Convert 1 (base 3) to base 11.
1
Convert -77 (base 12) to base 10.
-91
Convert 1001 (base 3) to base 9.
31
3 (base 15) to base 13
3
What is 1 (base 2) in base 6?
1
Convert 2 (base 5) to base 9.
2
Convert -2 (base 15) to base 8.
-2
What is -2 (base 12) in base 2?
-10
Convert 2 (base 3) to base 4.
2
2 (base 3) to base 11
2
What is 55 (base 14) in base 15?
50
What is -3 (base 6) in base 16?
-3
Convert -14 (base 13) to base 9.
-18
Convert 11 (base 8) to base 13.
9
41 (base 12) to base 10
49
What is 22 (base 3) in base 15?
8
Convert -57 (base 16) to base 7.
-153
What is -9 (base 14) in base 6?
-13
-10 (base 12) to base 15
-c
Convert 5 (base 15) to base 10.
5
Convert -1 (base 4) to base 10.
-1
-1110 (base 2) to base 5
-24
1 (base 14) to base 5
1
-2 (base 15) to base 10
-2
Convert 6 (base 15) to base 3.
20
5 (base 13) to base 12
5
Convert -14 (base 6) to base 16.
-a
Convert -23 (base 10) to base 12.
-1b
-22 (base 6) to base 15
-e
What is 10 (base 10) in base 9?
11
Convert -15 (base 10) to base 7.
-21
What is -24 (base 7) in base 5?
-33
-4 (base 6) to base 4
-10
Convert 151 (base 9) to base 4.
1333
Convert -4 (base 6) to base 9.
-4
Convert -4 (base 16) to base 5.
-4
Convert -8 (base 9) to base 14.
-8
What is 3 (base 4) in base 14?
3
What is -3302 (base 4) in base 8?
-362
-10 (base 4) to base 10
-4
Convert a6 (base 12) to base 2.
1111110
Convert -14 (base 15) to base 3.
-201
What is -144 (base 8) in base 2?
-1100100
-24 (base 5) to base 9
-15
1 (base 15) to base 9
1
Convert 2 (base 8) to base 14.
2
What is 10 (base 3) in base 8?
3
What is 1 (base 2) in base 15?
1
8 (base 10) to base 7
11
What is 98 (base 14) in base 10?
134
What is 1 (base 16) in base 3?
1
Convert 11 (base 9) to base 3.
101
-2 (base 16) to base 6
-2
-c0 (base 16) to base 13
-11a
What is 24 (base 5) in base 7?
20
Convert -1110 (base 2) to base 7.
-20
What is -10 (base 13) in base 12?
-11
What is -1 (base 4) in base 15?
-1
14 (base 7) to base 16
b
Convert 34 (base 9) to base 8.
37
What is -253 (base 6) in base 9?
-126
Convert 121 (base 4) to base 5.
100
What is -8 (base 15) in base 7?
-11
2 (base 3) to base 13
2
-7 (base 15) to base 11
-7
What is 2 (base 16) in base 2?
10
What is 111 (base 3) in base 15?
d
What is -1 (base 6) in base 12?
-1
Convert 4c (base 15) to base 3.
2200
1 (base 8) to base 3
1
What is 10210 (base 3) in base 11?
93
Convert 2 (base 6) to base 4.
2
Convert 92 (base 15) to base 8.
211
Convert -11 (base 3) to base 9.
-4
Convert -19 (base 13) to base 2.
-10110
Convert 27 (base 14) to base 10.
35
What is 34 (base 9) in base 8?
37
Convert c (base 16) to base 13.
c
What is 120 (base 12) in base 16?
a8
What is -5 (base 16) in base 12?
-5
ee (base 16) to base 5
1423
What is -40 (base 9) in base 8?
-44
What is -126 (base 8) in base 11?
-79
What is 356 (base 7) in base 9?
228
What is 201 (base 12) in base 14?
169
-1020 (base 3) to base 12
-29
What is 4 (base 16) in base 14?
4
What is -11 (base 6) in base 8?
-7
What is -7 (base 15) in base 13?
-7
-12 (base 10) to base 6
-20
Convert -11 (base 6) to base 2.
-111
What is -3 (base 6) in base 7?
-3
-21 (base 16) to base 11
-30
What is -6a (base 15) in base 9?
-121
-6 (base 12) to base 9
-6
Convert -3 (base 9) to base 12.
-3
Convert 2 (base 3) to base 12.
2
-40 (base 7) to base 11
-26
1b4 (base 14) to base 3
111010
-9d (base 14) to base 11
-117
What is -256 (base 11) in base 6?
-1223
55 (base 7) to base 4
220
-23 (base 9) to base 13
-18
What is 11 (base 2) in base 12?
3
1110011 (base 2) to base 10
115
What is -7b (base 14) in base 13?
-85
What is -473 (base 9) in base 3?
-112110
What is -5 (base 13) in base 14?
-5
Convert -13 (base 8) to base 4.
-23
Convert 22 (base 3) to base 7.
11
-14 (base 10) to base 6
-22
-13 (base 8) to base 2
-1011
Convert 100100 (base 3) to base 6.
1100
Convert 2a (base 14) to base 5.
123
-215 (base 7) to base 8
-156
What is 100 (base 2) in base 10?
4
Convert 1 (base 2) to base 13.
1
3 (base 16) to base 8
3
What is -38 (base 11) in base 2?
-101001
What is -10 (base 5) in base 4?
-11
69 (base 14) to base 16
5d
Convert -2 (base 8) to base 15.
-2
Convert 21 (base 15) to base 5.
111
53 (base 8) to base 11
3a
-86 (base 16) to base 7
-251
Convert -10 (base 9) to base 12.
-9
What is 24 (base 5) in base 10?
14
-1000 (base 2) to base 9
-8
4 (base 8) to base 5
4
What is -8 (base 9) in base 10?
-8
What is 14 (base 16) in base 7?
26
What is -1342 (base 5) in base 11?
-192
-3 (base 6) to base 9
-3
-a (base 13) to base 8
| {
"pile_set_name": "DM Mathematics"
} |
9, -6289, -6211, -6099?
-5947
What is the next term in -290479, -580956, -871433, -1161910, -1452387?
-1742864
What comes next: -13012, -13010, -13008, -13006, -13004?
-13002
What is next in 1259, 2365, 3471, 4577, 5683?
6789
What is the next term in 185920, 185933, 185946, 185959, 185972?
185985
What is the next term in -133462, -133463, -133464, -133465, -133466, -133467?
-133468
What is the next term in -134948, -134952, -134956, -134960, -134964, -134968?
-134972
What is next in -244, -566, -922, -1318, -1760, -2254?
-2806
What comes next: -9, 113, 455, 1131, 2255, 3941, 6303, 9455?
13511
What is the next term in 63092, 126186, 189280, 252374, 315468?
378562
What is the next term in 43651, 87345, 131039, 174733, 218427?
262121
What is next in -7160, -7200, -7238, -7274, -7308?
-7340
What comes next: 1879, 3756, 5633?
7510
What is the next term in -523443, -523440, -523435, -523428, -523419, -523408, -523395?
-523380
What is next in -14980, -29946, -44912?
-59878
What is next in 825, 1125, 1425, 1725?
2025
What comes next: -91, -129, -155, -175, -195?
-221
What is the next term in -53631, -53623, -53615?
-53607
What comes next: 9, 52, 129, 246, 409, 624, 897?
1234
What comes next: -16, 244, 504, 764, 1024?
1284
What is next in 79214, 79211, 79206, 79199, 79190, 79179?
79166
What is next in -1726, -3092, -4456, -5818, -7178?
-8536
What is the next term in -1626, -1715, -1864, -2073, -2342, -2671, -3060?
-3509
What comes next: -2012, -7867, -17560, -31091, -48460, -69667?
-94712
What comes next: 188, 541, 1118, 1925, 2968, 4253, 5786, 7573?
9620
What comes next: 1280, 2610, 3940?
5270
What comes next: -123, -159, -281, -531, -951?
-1583
What is next in 423, 1770, 4015, 7158, 11199, 16138?
21975
What is next in -3946, -7905, -11872, -15853, -19854, -23881?
-27940
What comes next: -23144, -46080, -69016, -91952, -114888?
-137824
What comes next: -277, -176, -87, -10, 55?
108
What is next in -733, -1661, -2589?
-3517
What is next in 3928, 7842, 11744, 15634?
19512
What is the next term in -28544, -114174, -256890, -456692?
-713580
What is the next term in 825, 3218, 7207, 12792, 19973, 28750?
39123
What comes next: -9346, -18716, -28086, -37456, -46826?
-56196
What comes next: -687, -705, -723?
-741
What is next in 233, 634, 1331, 2318, 3589?
5138
What comes next: -158214, -158140, -158068, -157998, -157930?
-157864
What comes next: 152, 1167, 3934, 9329, 18228, 31507?
50042
What is next in 521245, 1042479, 1563713, 2084947, 2606181?
3127415
What comes next: -531, -1119, -1703, -2283, -2859, -3431, -3999?
-4563
What is the next term in 1318, 2464, 3622, 4798, 5998, 7228?
8494
What is next in -121, -387, -833, -1459, -2265, -3251?
-4417
What is the next term in 2378, 2736, 3094, 3452, 3810?
4168
What is next in -169856, -169860, -169864, -169868, -169872?
-169876
What is the next term in 305, 317, 483, 923, 1757, 3105?
5087
What comes next: -13347, -13361, -13385, -13419, -13463, -13517?
-13581
What is next in 9032, 9026, 9020?
9014
What is next in 524027, 524029, 524031?
524033
What is next in -52365, -104731, -157097, -209463, -261829?
-314195
What is next in -63, -528, -1775, -4194, -8175, -14108?
-22383
What is next in 21455, 42912, 64369, 85826, 107283?
128740
What is the next term in 776385, 776381, 776377, 776373, 776369?
776365
What comes next: -6396, -6250, -6006, -5664, -5224, -4686?
-4050
What comes next: 955861, 1911724, 2867587, 3823450?
4779313
What is the next term in 20, -52, -172, -340?
-556
What is next in -4398, -8818, -13288, -17832, -22474, -27238?
-32148
What is the next term in 413, 394, 355, 290, 193, 58, -121, -350?
-635
What comes next: -2509, -2468, -2399, -2302, -2177, -2024?
-1843
What is next in 140471, 140474, 140477, 140480, 140483?
140486
What comes next: 299029, 598058, 897085, 1196110?
1495133
What comes next: -943390, -1886784, -2830180, -3773578?
-4716978
What is the next term in 7075, 14101, 21127, 28153, 35179, 42205?
49231
What is next in 345569, 345575, 345585, 345599, 345617?
345639
What comes next: -1564, -1822, -2092, -2380, -2692, -3034, -3412?
-3832
What comes next: -1596, -1551, -1506?
-1461
What is the next term in 1090363, 2180726, 3271089?
4361452
What comes next: 216818, 216819, 216822, 216827, 216834?
216843
What comes next: -7902919, -7902915, -7902909, -7902901, -7902891, -7902879, -7902865?
-7902849
What comes next: 5235, 5247, 5237, 5199, 5127?
5015
What is the next term in -202, -226, -252, -280, -310, -342, -376?
-412
What is next in 5396, 5406, 5416, 5426?
5436
What comes next: 188, 263, 360, 467, 572, 663, 728, 755?
732
What comes next: 263, 798, 1631, 2762, 4191?
5918
What is next in 43617, 43616, 43615, 43614, 43613, 43612?
43611
What is the next term in 531, 2102, 4725, 8406, 13151, 18966?
25857
What comes next: 1757, 7051, 15893, 28295, 44269, 63827?
86981
What is the next term in -262776, -525563, -788350?
-1051137
What is the next term in -1163, -4461, -9963, -17675, -27603, -39753?
-54131
What is the next term in 59666, 119344, 179022, 238700, 298378?
358056
What is next in 101322, 202638, 303948, 405252?
506550
What is next in 351, 845, 1665, 2811, 4283?
6081
What comes next: -4, -48, -258, -718, -1512, -2724, -4438?
-6738
What is next in 490, 969, 1448, 1927, 2406, 2885?
3364
What is the next term in 17517, 17469, 17391, 17283?
17145
What is next in -655, -673, -689, -703, -715?
-725
What is next in 1464, 1471, 1472, 1467, 1456?
1439
What is the next term in -563, -1053, -1533, -1997, -2439, -2853?
-3233
What comes next: 8472, 16971, 25470, 33969, 42468?
50967
What is next in 286524, 573050, 859576, 1146102, 1432628?
1719154
What is the next term in -210, -1036, -2414, -4344?
-6826
What is next in 156, 600, 1048, 1500, 1956, 2416?
2880
What is next in 208, 389, 532, 631, 680, 673, 604, 467?
256
What is next in 4, 31, 72, 133, 220, 339?
496
What is next in 128, 138, 146, 152, 156?
158
What is next in 1945, 2040, 2131, 2218, 2301, 2380, 2455?
2526
What is the next term in -58542, -58589, -58674, -58803, -58982, -59217, -59514?
-59879
What comes next: 1383, 1430, 1485, 1548, 1619?
1698
What is next in -3224, -6476, -9728, -12980, -16232?
-19484
What is the next term in -5323, -5342, -5371, -5416, -5483, -5578, -5707, -5876?
-6091
What is next in 967, 956, 931, 886, 815, 712?
571
What is next in -4474, -4514, -4582, -4684, -4826?
-5014
What is next in 2375, 2408, 2481, 2612, 2819, 3120?
3533
What is the next term in -183, -324, -329, -114, 405?
1312
What is the next term in -636858, -636861, -636864, -636867, -636870, -636873?
-636876
What comes next: -6592766, -6592778, -6592804, -6592850, -6592922, -6593026, -6593168?
-6593354
What comes next: 141, 566, 1273, 2262, 3533, 5086, 6921?
9038
What comes next: -1373, -2324, -3275?
-4226
What is the next term in -2413, -2191, -1967, -1741, -1513?
-1283
What comes next: 226, 774, 1684, 2956, 4590, 6586, 8944?
11664
What is the next term in 1239, 1265, 1293, 1323?
1355
What is next in -2264, -2271, -2268, -2249, -2208, -2139, -2036, -1893?
-1704
What comes next: -64, -124, -190, -262, -340, -424, -514?
-610
What is next in 51, 247, 757, 1737, 3343, 5731, 9057?
13477
What comes next: -18946, -37894, -56838, -75778?
-94714
What is the next term in 19766, 39528, 59290, 79052, 98814?
118576
What is the next term in 131, 577, 1327, 2375, 3715, 5341, 7247?
9427
What is next in 141245, 282479, 423711, 564941, 706169?
847395
What is next in -41649, -83297, -124945, -166593, -208241, -249889?
-291537
What comes next: 1768, 1797, 1840, 1909, 2016?
2173
What is next in 136171, 544663, 1225475, 2178601, 3404035, 4901771?
6671803
What is the next term in 560, 550, 532, 500, 448, 370, 260, 112?
-80
What comes next: -3187491, -3187490, -3187489?
-3187488
What is next in -910, -1034, -1168, -1312, -1466?
-1630
What comes next: -30415, -30400, -30347, -30238, -30055, -29780, -29395?
-28882
What is the next term in 140043, 140088, 140131, 140172?
140211
What is the next term in 528656, 528659, 528662?
528665
What is next in -688, -1237, -1786, -2335, -2884, -3433?
-3982
What comes next: 228, 628, 1028, 1428, 1828?
2228
What is the next term in 236980, 473958, 710936, 947914?
1184892
What is the next term in -777, -650, -525, -402?
-281
What is next in | {
"pile_set_name": "DM Mathematics"
} |
**3 - 53*s**3 + o*s**2 - 37*s**3 wrt s?
24*s + 120
Let m(c) be the first derivative of 0*c - 163/3*c**3 - 93 + 63/2*c**4 + 0*c**2. What is the third derivative of m(z) wrt z?
756
Let o(s) = -1464*s - 1927. Let c(z) = -488*z - 637. Let x(l) = -11*c(l) + 4*o(l). What is the derivative of x(p) wrt p?
-488
Suppose -2*a + 3*a = 5*h - 56, 4*h - a = 45. Suppose h = -m + 14. What is the derivative of -11 - 10*y**m + 133*y - 133*y wrt y?
-30*y**2
What is the second derivative of -11*n - 238*n**2 - 1 - 1432005*n**4 + 1432002*n**4 + 936*n wrt n?
-36*n**2 - 476
Find the second derivative of 114*z - 16 - 389*z**4 + 17 + 32*z - 165*z**4 wrt z.
-6648*z**2
Let n be (4/(-14))/((-14)/98). Let d(x) be the first derivative of 4*x**2 + 4 + 4*x**5 + 0 + 22 + 0*x**n. Find the second derivative of d(u) wrt u.
240*u**2
Let j(v) = 808*v**4 - 5*v**3 - 5*v**2 + 492*v + 4. Let p(c) = -c**3 - c**2 + c + 1. Let s(w) = -j(w) + 5*p(w). Find the second derivative of s(z) wrt z.
-9696*z**2
Differentiate 96*k**4 + 0*k - 241*k**4 + 4935 - 600*k**4 - k**2 + k + 1730 wrt k.
-2980*k**3 - 2*k + 1
Let j(w) = -1229*w - 1117. Let c(v) = -1250*v - 1119. Let z(o) = 2*c(o) - 3*j(o). Differentiate z(q) wrt q.
1187
Let j = -14 - -18. Suppose -2*b - 2*b - 8 = 3*i, -j*i + 11 = b. Find the third derivative of -14*k**4 - 2*k**4 + 16*k**2 - i*k**4 wrt k.
-480*k
Find the third derivative of 157 + 2*n - 4396*n**3 + 1788*n**3 - n**2 - 141 + 473 - 7432*n**3 wrt n.
-60240
What is the second derivative of -1593*w + 387*w**2 + 994*w - 998*w + 3*w**3 wrt w?
18*w + 774
Let g(p) = p**2 - 7. Let a = 21 + -17. Let i(w) = -18 - 22 + 48. Let x(r) = a*g(r) + 5*i(r). Find the first derivative of x(q) wrt q.
8*q
Let y(b) = -b**3 - 16*b**2 + 2. Let q = -48 + 32. Let h be y(q). Find the third derivative of 0*w**2 + 16*w**4 + 3*w**2 + 29*w**h wrt w.
384*w
Let j be ((-40)/12 - -4) + (-340)/6. Let f be j/(-26) - -3*(-4)/78. Find the second derivative of 5*q**2 + 3*q**2 - 9*q**f + 16*q + 8*q**2 wrt q.
14
Find the third derivative of 0*d**6 + 135812*d**5 + d - 37 + 9*d**2 - 134982*d**5 - d**6 wrt d.
-120*d**3 + 49800*d**2
Let t = 45 - 41. What is the third derivative of -232 + 227 - 4*u**2 + 5*u**5 + 5*u**t - 5*u**4 wrt u?
300*u**2
Let y(w) = 2*w**2 - 7*w + 2. Let d be y(5). Suppose -4*c - z = -d, 5*z - 9 = -4*c + 3*c. What is the first derivative of 1 - 2 + 0 + 7*n**2 + c wrt n?
14*n
Let k = -30 - -70. Let l = k + -36. Find the third derivative of 9*z**4 - 4*z**4 + 14*z**2 - 8*z**l wrt z.
-72*z
Let z(j) = 3858*j**2 + 205*j - 17. Let c(k) = 1286*k**2 + 64*k - 6. Let d(u) = -17*c(u) + 6*z(u). Find the second derivative of d(w) wrt w.
2572
Suppose 0 = -9*w - 2 + 29. Let y = -4 + 8. What is the second derivative of -8*v - y*v**w - 5*v - v - 11*v wrt v?
-24*v
Let h(r) = -2804*r - 688. Let p(b) = 4207*b + 1006. Let x(z) = -7*h(z) - 5*p(z). Differentiate x(o) wrt o.
-1407
Let t be -2*((-45)/6)/5. Let v be (-7)/(21/6) - -5. Find the third derivative of -13*f**6 + t*f**2 + v*f**2 - 9*f**6 + 11*f**6 wrt f.
-1320*f**3
Find the third derivative of -54*u**6 - 33 + 3*u**2 - 455*u**6 + 45 + 90 wrt u.
-61080*u**3
Let q(c) = 3*c + 70. Let y be q(-7). What is the second derivative of -13232*z**4 - 5*z + y*z + 13257*z**4 + 2*z**2 wrt z?
300*z**2 + 4
Find the first derivative of 233307*v**4 - 232905*v**4 + v - 2*v - 2368 wrt v.
1608*v**3 - 1
Suppose -6 = 2*b, -2*b = -y + 27 + 17. Let m be (8/(-20))/((3/(-1))/180). Find the first derivative of 108*s - 108*s - y*s**3 - m wrt s.
-114*s**2
Let l be (1 + -3)*1 + (-3)/3. Let s be 43*(4/12)/((-1)/l). What is the first derivative of -31*t - 31 + s - 31 wrt t?
-31
Suppose k + 51 = 2*h, -4 + 1 = -3*k. Suppose -2*p + h + 0 = 0. What is the third derivative of -p*m**3 + 99*m**2 + m**3 - 106*m**2 wrt m?
-72
Suppose -2*g + 0*g = h + 117, -105 = h - g. Let r = h + 118. Find the second derivative of 24*s**5 + r*s - 35*s**5 - 31*s**5 wrt s.
-840*s**3
Suppose -168*l + 158*l + 40 = 0. What is the second derivative of -13*o + 17*o**4 + 14*o + 5*o - l - 208*o**4 + 18*o wrt o?
-2292*o**2
Let p(m) = -2709*m**2 - 5*m + 10201. Let a(u) = 1355*u**2 + 2*u - 5082. Let r(v) = 5*a(v) + 2*p(v). Differentiate r(j) wrt j.
2714*j
Let f(x) = 2*x**4 + 1230*x**3 - 2*x**2 + 2*x + 79. Let h(r) = -2*r**4 - r**3 + 2*r**2 - r. Let k(i) = -f(i) - 2*h(i). Find the third derivative of k(q) wrt q.
48*q - 7368
Let n(h) = 63*h**2 - 3 + 27*h + 5 - 7*h + h**2. Let d(k) = -192*k**2 - 58*k - 7. Let j(y) = 2*d(y) + 7*n(y). Find the second derivative of j(o) wrt o.
128
Let b(y) = -769*y**2 - 6*y + 928. Let l(t) = -774*t**2 - 5*t + 926. Let h(v) = -5*b(v) + 6*l(v). Differentiate h(c) wrt c.
-1598*c
Let g(y) = -59*y**2 - y - 52. Let b(w) = w**2. Suppose 28 = 5*o - f, -5*f + f = 3*o - 3. Let i(j) = o*b(j) - g(j). Find the second derivative of i(v) wrt v.
128
Let g(l) = -l**3 - 10839*l**2 + 25767*l - 204. Let q(y) = -1355*y**2 + 3221*y - 24. Let n(v) = -2*g(v) + 17*q(v). Find the second derivative of n(u) wrt u.
12*u - 2714
Let j(t) be the third derivative of 2579*t**6/40 - 116*t**3 - 4581*t**2. What is the first derivative of j(r) wrt r?
23211*r**2
Let l(o) = 240*o + 89. Let j be l(10). Find the second derivative of 79*r - 2489 + j - 32*r**2 wrt r.
-64
Find the second derivative of 8*h + h**3 + 839*h**5 + 14529 - 29120 + 14547 wrt h.
16780*h**3 + 6*h
Suppose 2*i - 8*i = 0. Let t(p) = -p**3 + 2*p**2 + p + 14. Let z be t(i). Find the first derivative of z*r + 42 - 30 - 31 - r wrt r.
13
Let i(l) be the second derivative of l**6/15 - 313*l**4/4 + 2667*l**2/2 - 5*l + 15. What is the derivative of i(a) wrt a?
8*a**3 - 1878*a
Let t(m) be the first derivative of -51*m**6 + 13*m**5/5 - 8477*m**2/2 - 1435. What is the second derivative of t(r) wrt r?
-6120*r**3 + 156*r**2
Let p = -26 + 33. Let x = p + -4. What is the second derivative of 9*t + 3*t + t + 2*t**x - 3*t**3 wrt t?
-6*t
Let v(u) be the first derivative of -4*u**3/3 - 7*u**2/2 - 663*u + 2060. What is the derivative of v(a) wrt a?
-8*a - 7
Find the third derivative of 1706*c**6 + 1819*c**6 - 1134*c**2 - 3415*c**6 wrt c.
13200*c**3
Let b = -263 - -308. Let s(p) = -1695*p**2 + 45*p + 1540. Let t(l) = 77*l**2 - 2*l - 70. Let h(d) = b*t(d) + 2*s(d). What is the derivative of h(m) wrt m?
150*m
Let z(d) = -2*d**3 + 10*d**2 - 2*d. Let r be z(4). Suppose 21*a + 9 = r*a. What is the first derivative of 16 - 21*h**a + 21 - 10 wrt h?
-63*h**2
Let i(w) = -8*w - 21. Suppose -2*v - 5*y = -6, 0 = 4*y + y - 20. Let r be i(v). What is the second derivative of -48*b + 23*b**2 + 25*b + r*b wrt b?
46
Let i(x) = 2*x - 4. Let p be i(3). Find the second derivative of 154*l**5 + 2*l**4 + 170*l**5 + p*l - 340*l**5 wrt l.
-320*l**3 + 24*l**2
Let f = -49 + 7. Let s = f - -52. Differentiate -4*h + 28 - s*h - 5*h + 3*h with respect to h.
-16
Let s(c) = -c**3 - 2*c**2 + 6*c - 4. Let j be s(-4). Find the third derivative of -135*k - 50*k**3 - j*k**2 + 135*k wrt k.
-300
Let f(s) be the first derivative of -8*s**5 + s**4/4 + 20*s**3/3 + 773*s**2/2 + s - 947. Find the second derivative of f(g) wrt g.
-480*g**2 + 6*g + 40
Let b = 20261 - 20261. Let j(i) be the second derivative of 33/2*i**2 + 0*i**4 + b*i**3 + 9/20*i**5 + 0 + 2*i. Find the first derivative of j(p) wrt p.
27*p**2
Let a(v) = -345*v + 1690. Let w(p) = 1036*p - 5092. Let j(c) = -10*a(c) - 3*w(c). Differentiate j(b) with respect to b.
342
Let o(f) be the first derivative of 69*f**2 + 5 + 30*f + 12*f - 133. What is the derivative of o(d) wrt d?
138
Let m(p) be the third derivative of p**7/30 + 17*p**5/30 - 5*p**4/24 + 52*p**3/3 - 458*p**2 + 1. What is the second derivative of m(v) wrt v?
84*v**2 + 68
Let o(y) be the first derivative of 4*y**6/3 - y**3/3 + 320*y**2 - 72. What is the second derivative of o(m) wrt m?
160*m**3 - 2
Let v(h) = h**2 - 26*h + 72. Let z be v(23). What is the second derivative of -18898*w**2 - 18*w**3 - 31*w + 18899*w**2 - 26*w**z wrt w?
-264*w + 2
Let i(b) be the first derivative of 5*b**6/3 - 16*b**5/5 - 3*b**4/4 + 8632*b**3/3 - 5205. Find the third derivative of i(o) wrt o.
600*o**2 - 384*o - 18
Let i(u) = 2*u + 16. Let n be i(-6). Suppose -3*z + 21 = -5*d - 1, n*z + 3*d = 10. Find the first derivative of 2362*y - 2362*y + 27 + 32*y**z wrt y.
128*y**3
Differentiate -5534 - 2237*s**4 + 1555*s**4 + 1194*s**4 wrt s.
2048*s**3
Let r(l) be th | {
"pile_set_name": "DM Mathematics"
} |
))/g*g)/g)/g))/(g/(g*g**(-1/6)/g)) assuming g is positive.
g**(571/66)
Simplify (h**0/((h/(h/(h/(h*h*(h/(h*h**10*h))/h*h*h))*h*h))/h))**(-36) assuming h is positive.
h**216
Simplify ((m*m/m**0)/m**9)/(m**(-2))**(-42) assuming m is positive.
m**(-91)
Simplify (k**(1/2))**31 assuming k is positive.
k**(31/2)
Simplify p/p**(-34)*p/(p**(-2/47)*p) assuming p is positive.
p**(1647/47)
Simplify (l/((l*l/l**(-3/8)*l)/l))/l*l**(-2/127)*l*l assuming l is positive.
l**(-397/1016)
Simplify ((a/((a/(a/((a**(3/2)/a*a)/a*a)))/a)*a*a)**(4/9))**(-2/63) assuming a is positive.
a**(-20/567)
Simplify (z/(z*(z/((z/(z**(-5)/z*z))/z*z*z))/z*z)*z*z**(-3))/(z**7/(z*z**(4/7)/z)) assuming z is positive.
z**(-17/7)
Simplify ((w*w/(w/w**(2/5))*w)/w)/w**(-6/17) assuming w is positive.
w**(149/85)
Simplify k*((k*k**(17/5)*k*k)/k)/k*k**(-3/10)/k assuming k is positive.
k**(41/10)
Simplify (w**(-2))**(-29) assuming w is positive.
w**58
Simplify v**(-4)/(v/(((v/(v*v**4*v))/v)/v))*v**(-3)*v**(1/2)/v assuming v is positive.
v**(-31/2)
Simplify h**(9/2)/(h**(17/2)/h) assuming h is positive.
h**(-3)
Simplify (r**(-38)*r)/((r*r**(-33))/r) assuming r is positive.
r**(-4)
Simplify (g**18)**(-17/2) assuming g is positive.
g**(-153)
Simplify (f**(-4/3)*f*f**3)**(-1) assuming f is positive.
f**(-8/3)
Simplify ((v**(-2/7))**(-16))**(-6/5) assuming v is positive.
v**(-192/35)
Simplify (r**(-6)*r**(-5))**(-3/13) assuming r is positive.
r**(33/13)
Simplify g**5/(g**(2/5)/g)*g*g**(3/8)/g*g**7 assuming g is positive.
g**(519/40)
Simplify h**(2/5)*h/(h*h**1/h)*h**1/(h/(h**(2/7)*h)*h) assuming h is positive.
h**(24/35)
Simplify u/(u*u*u*u/(u*u/(u/((u*u**(-23))/u)*u)))*u**(1/51) assuming u is positive.
u**(-1325/51)
Simplify (n**(7/2)*n*n/n**11)**12 assuming n is positive.
n**(-66)
Simplify (k**10/k)**(-5) assuming k is positive.
k**(-45)
Simplify ((d/((d/(d/(d*d**7)))/d))/d)**7 assuming d is positive.
d**(-49)
Simplify m**(-1/6)/((m*m*m**(-6))/m)*m**(-4/5)*m*m**3 assuming m is positive.
m**(241/30)
Simplify (f**(6/5)/(f/(f**3*f)*f))**(-30) assuming f is positive.
f**(-96)
Simplify (j**0)**2/(j*j*j**(-1))**(9/4) assuming j is positive.
j**(-9/4)
Simplify k**(2/5)*((k/k**(4/13))/k)/k assuming k is positive.
k**(-59/65)
Simplify (a*a**12/a*a**(-5))**(-34/7) assuming a is positive.
a**(-34)
Simplify ((o**(3/2)/o)**(13/3))**(-40) assuming o is positive.
o**(-260/3)
Simplify (d*d*d*d/d**28)**(-7) assuming d is positive.
d**168
Simplify (f/f**(-8))/(f/(f*((f*f**2)/f)/f)) assuming f is positive.
f**10
Simplify g/(g*g*g**16)*g*(g/g**(-11))/g assuming g is positive.
g**(-5)
Simplify (f**(-3))**44 assuming f is positive.
f**(-132)
Simplify y**(-3/5)*y/y**(1/2)*y*y*y/(y*y**4)*y*y/(y**(-2)*y) assuming y is positive.
y**(9/10)
Simplify (t**(2/5))**(4/27) assuming t is positive.
t**(8/135)
Simplify (s**(-7)/s**(2/5))/((s*(s**(-3/2)/s)/s)/(((s**(-3)/s)/s)/s*s)) assuming s is positive.
s**(-99/10)
Simplify v/v**(-16)*v/(v/((v**6/v)/v*v)) assuming v is positive.
v**22
Simplify (q**6)**(2/3) assuming q is positive.
q**4
Simplify r**(2/63)/((((r**(-2/25)*r*r)/r)/r)/r*r) assuming r is positive.
r**(176/1575)
Simplify (j**7/((j/(j*j**2))/j))/(j*j**(1/2)*j*j*j)**36 assuming j is positive.
j**(-152)
Simplify (i**(2/5))**(4/39)*i/(i/(i*i/i**(-2/5)))*i**(2/7) assuming i is positive.
i**(3722/1365)
Simplify b**(-5/4)*b/(b*b**(-26)) assuming b is positive.
b**(99/4)
Simplify ((y**6*y)/(y**(-3/7)/y))**(-26) assuming y is positive.
y**(-1534/7)
Simplify (x**(-2/7)/(x/x**(-1)))/(x*x/(x*x*x*x/(x**(1/4)*x)*x))**47 assuming x is positive.
x**(2239/28)
Simplify (u/u**(-6))/u*u*u**0 assuming u is positive.
u**7
Simplify (z**(-1/4))**(-21)/(z**(-2/9)/((z*z**0)/z)) assuming z is positive.
z**(197/36)
Simplify (x**(2/23))**32 assuming x is positive.
x**(64/23)
Simplify (j**4*j)/j**(-4/11)*(j**0*j*j)**26 assuming j is positive.
j**(631/11)
Simplify q**(3/13)*q/q**(8/5)*q assuming q is positive.
q**(41/65)
Simplify (b**(-3)/b*b**0)**(-23) assuming b is positive.
b**92
Simplify (g/g**3)/g*((g/((g*((g*g/(g*(g/(g*g*g**27*g))/g))/g)/g)/g))/g)/g assuming g is positive.
g**(-33)
Simplify (((w*w**(-8))/w)/w)**(-32) assuming w is positive.
w**288
Simplify v**18*v/(v**(-2)*v)*v assuming v is positive.
v**21
Simplify ((y**(2/13)*y)/y*y)/(y**(-3/4)/y)*(y**(-2/3))**(13/3) assuming y is positive.
y**(7/468)
Simplify n**(1/2)/n**(-2/17)*(n*n/(n/n**(-9)))/n**2 assuming n is positive.
n**(-319/34)
Simplify v**(2/9)*v**(3/5)*v*(v/v**2)**23 assuming v is positive.
v**(-953/45)
Simplify (x/(x*x**0))/(x**(-1/2)*x)*x**6*x*x*x*x*x*x/x**0 assuming x is positive.
x**(23/2)
Simplify (m/m**(-4/5))/m**(-7/5) assuming m is positive.
m**(16/5)
Simplify ((y/y**2)**(-35))**29 assuming y is positive.
y**1015
Simplify (g**(-1/8)/g*g**2*g*g)/(g**(2/5)/g*g)**(-2) assuming g is positive.
g**(147/40)
Simplify y*y*y**(-35)*(y*y**(-25))/y*y assuming y is positive.
y**(-57)
Simplify (r**(-10/7))**(-10/11) assuming r is positive.
r**(100/77)
Simplify m**(-5)/(m/m**(-3))*(m*m/(m/(m/(m/(m*m**7*m*m))*m*m)))/(m**(4/5)*m*m) assuming m is positive.
m**(6/5)
Simplify p**(-1/22)*p/(p*p**(3/7)) assuming p is positive.
p**(-73/154)
Simplify (j/j**1)**(-11/7)*((j/j**(-2/5))/j)**(-32) assuming j is positive.
j**(-64/5)
Simplify (v**(-6/7))**(-2/11) assuming v is positive.
v**(12/77)
Simplify k**(-23)*k*((k/(k*k**(-16/7)*k)*k)/k*k)/k assuming k is positive.
k**(-145/7)
Simplify (z*z**0*z)/(z**4*z*z)*z**(-1/5)/(z*z/(z*z**3)) assuming z is positive.
z**(-11/5)
Simplify ((y*(((((y/(y/y**(-3/7)*y))/y)/y)/y)/y)/y)/(y/(y*y/(y/(y*y/(y**(2/17)*y))*y))))/(y/(y/(y**(-8)/y*y)*y)*y**(-8)) assuming y is positive.
y**(1363/119)
Simplify (s**(5/8))**32 assuming s is positive.
s**20
Simplify (l**(1/4))**(2/79)/(l*l*l**(-1/4)/l*l*l*l)**(-13/2) assuming l is positive.
l**(15409/632)
Simplify (p*p**(-10/9)*p*p)/(p**(-3)/p)*p**(-4)/(p/p**0) assuming p is positive.
p**(8/9)
Simplify (c**(-2/9)*(c*c**(-2))/c)/((c*c*c*c/c**(-5)*c*c)/c*c*c*(c**(2/7)/c)/c) assuming c is positive.
c**(-788/63)
Simplify (q**9*q)/(((q/q**1*q)/q)/q*q) assuming q is positive.
q**10
Simplify ((k**(-1))**2)**(-29) assuming k is positive.
k**58
Simplify ((d*d**(-4)/d)/d)**1 assuming d is positive.
d**(-5)
Simplify g/g**23*g/g**47 assuming g is positive.
g**(-68)
Simplify (t/(t/(t*t*t**(4/23)))*t)/t**4 assuming t is positive.
t**(-19/23)
Simplify (((((r*r/((r**(2/5)/r)/r)*r*r)/r*r*r)/r)/r)/r)**(-22)*r/(r/(r*r**(-5)))*r*r**(-1) assuming r is positive.
r**(-416/5)
Simplify (k/(((((k*k*k/k**(-6))/k)/k*k*k)/k)/k)*k)/k**20 assuming k is positive.
k**(-25)
Simplify (k*k**(-6/5))/((k**(10/7)/k)/k) assuming k is positive.
k**(13/35)
Simplify ((b/(b*b/(b**7/b)*b))**(-2/13))**48 assuming b is positive.
b**(-384/13)
Simplify (l/l**(2/3))**(-11/5)/(l*l/((l*(l/l**(-3/2))/l*l)/l)*l**(-7)) assuming l is positive.
l**(203/30)
Simplify (p/(p/p**(-3)))/p*p**(-3) assuming p is positive.
p**(-7)
Simplify (d**(1/3)/(d/(d*d**0*d)))**21 assuming d is positive.
d**28
Simplify (r**(-11/5)*r*(r*r*r**(2/5))/r)**(-41) assuming r is positive.
r**(-41/5)
Simplify (x*x**(-7)/x)/(x/(x/(x*(((x*x/(x**(-1/5)/x))/x)/x)/x))*x)*x*x/(x*x/(x*x**7))*x**(2/7)/x assuming x is positive.
x**(-67/35)
Simplify v*v/(v/(v**(-12/13)*v)*v)*v*v/v**(-3/41) assuming v is positive.
v**(1146/533)
Simplify z**(-15)/z**(2/17) assuming z is positive.
z**(-257/17)
Simplify p**(-19)*p/(p**(7/2)*p)*p assuming p is positive.
p**(-43/2)
Simplify (l*(l/(l**(-19)/l))/l)**(-6/13) assuming l is positive.
l**(-126/13)
Simplify (p**(1/2))**(1/19)*((p/p**(-1/2))/p)**(1/2) assuming p is positive.
p**(21/76)
Simplify (a**(-2/5)*a**(-7))**26 assuming a is positive.
a**(-962/5)
Simplify f**0/(f**(10/9)*f) assuming f is positive.
f**(-19/9)
Simplify ((f**(-1/5))**17)**38 assuming f is positive.
f**(-646/5)
Simplify (q*q**(2/7)/q)**(-16)*(q*q**0/q*q)**(2/105) assuming q is positive.
q**(-478/105)
Simplify (r*r*r**8/r*r)/((r/((r/(r*r*r/r**(-3/4)))/r))/r)*(r/(r/(r/r**(2/9))))**11 assuming r is positive.
r**(533/36)
Simplify o*o*o/(o**3*o)*o*o**(-1/3) assuming o is positive.
o**(-1/3)
Simplify w*w/(w**(-1/2)*w*w)*w*w*w**(-23) assuming w is positive.
w**(-41/2)
Simplify z**(-9)*z*z/(z**(-2)*z*z)*z**8/(z**6/z) assuming z is positive.
z**(-4)
Simplify a**(2/9)/((a**(-25)*a)/a*a) assuming a is positive.
a**(218/9)
| {
"pile_set_name": "DM Mathematics"
} |
etermine r(-1).
-6
Let r(j) = j + 5. Let s be 2 + (-8)/4*1. Calculate r(s).
5
Let r be -18*(5 + -2)/6. Let w = r + 15. Let c(a) = -a**2 + 8*a - 8. Calculate c(w).
4
Let f(z) = -2*z + 1. Suppose -2*o + 3*o = 6. Let q be ((-16)/(-6))/(4/o). What is f(q)?
-7
Let f(o) = -o**3 + 2*o - 1. Let a = -6 - -14. Suppose 2*k = -4*j + k - a, 3*j + 6 = 5*k. Determine f(j).
3
Let x(u) = u**2 + 3*u - 1. Let k(j) = -j**2 - 6*j + 2. Let a be k(-7). Calculate x(a).
9
Let f(l) = -4*l**3 - 3*l + 1. Let i(g) = 5*g**3 + g**2 + 4*g - 2. Let q = -12 + 6. Let n = -3 - q. Let y(z) = n*i(z) + 4*f(z). What is y(2)?
2
Let p = -1 - -1. Let a(q) = q + 4. Calculate a(p).
4
Suppose a + 2*a - 6 = 0. Let f(y) = -5*y + 0*y**2 + y**3 + 4*y**a + 3 + 0*y + 2. Suppose 0 = 4*d + d + 25. What is f(d)?
5
Suppose 5*z - 5 = 0, -4*s + 2*z + 0*z = 18. Let g(r) = -r**2 - 3*r - 3. Give g(s).
-7
Let c(i) be the third derivative of -3*i**2 - 1/60*i**5 + 0*i - 1/6*i**4 + 0 - 1/2*i**3. Determine c(-5).
-8
Let r(y) = y**2 - 5*y. Let z(g) = g + 1. Let w(j) = -r(j) - 2*z(j). Calculate w(-3).
-20
Let o(q) be the second derivative of -1/12*q**4 + 0 - 2/3*q**3 + 2*q + 5/2*q**2. Suppose 2*t = t - 5. Give o(t).
0
Let h(w) = 37*w - 12*w - 11*w. Determine h(-1).
-14
Let i(p) = -6*p**3 - 1. Let x(b) = -b + 7*b + 4 + 0 + b**3 + 6*b**2. Let d be -5*(1 - -3)/4. Let s be x(d). What is i(s)?
5
Let b be -2 + 3 + (1 - 0). Let i = 0 + b. Let p(w) = -w**2 - 2 - 2*w**2 - 2*w**2 + 3*w**2 + w**3. What is p(i)?
-2
Let d(p) = p**3 + p**2 + p - 1. Suppose 0 = 2*t + 2. Let m be (0 - t - 5)/2. What is d(m)?
-7
Let h(u) = u**2 + 4*u - 5. Let g = 37 + -42. Calculate h(g).
0
Let y(a) = 3*a - 3. Let f be y(2). Let m(w) = 3*w**2 - 4*w**2 + 0*w**2 - 3*w + f. Calculate m(-3).
3
Let x(z) = -z**2 + 3. Let l be x(0). Let f(i) = -i + i - 5*i + 4*i + l. Calculate f(-3).
6
Let q be 12/7 + (-2)/(-7). Let h(s) be the second derivative of 1/6*s**3 + 0 + 5*s + s**2. Give h(q).
4
Let s(r) be the third derivative of 0*r - 1/60*r**5 - 1/6*r**3 + 0 + r**2 + 0*r**4. Calculate s(-1).
-2
Let n(p) be the first derivative of 1/3*p**3 + 3*p**2 + 2 + 2*p. Let f(k) = -k**3 - 8*k**2 - 7*k - 5. Let o be f(-7). Give n(o).
-3
Let m be (-1)/(2 + (-22)/10). Let d(b) = 2*b**3 + 4*b**2 + 2*b + 6. Let h(a) = -a**3. Let j be -2 - (-4 + (0 - -1)). Let p(v) = j*d(v) + 3*h(v). Give p(m).
-9
Let z(q) be the second derivative of q**4/12 - 5*q**3/6 + q**2 - 8*q. Suppose -2*f + 9 = 3*j - 0*j, 0 = -4*f. Give z(j).
-4
Suppose 4*q + 27 = -3*z, q - 4*q + 16 = -5*z. Let f(i) = -i**2 - 4*i - 2. What is f(z)?
-7
Suppose -5*d + 0*d + 5 = 0. Let t(c) = -2*c**3 - d + c**2 + c**3 - 2*c + 0 - 4*c**2. Determine t(-2).
-1
Let u(g) = 7*g**3 - g**2 - 2*g - 1. Suppose -3*c - 5*i - 8 = 0, 2*i = 4*c - i + 1. Calculate u(c).
-7
Let i(q) = 5*q + 9. Let a = -4 + 4. Suppose -u + 7 = -a*u. Let o(b) = -9*b - 17. Let y(c) = u*i(c) + 4*o(c). Calculate y(-4).
-1
Let v(w) = w**3 + 4*w**2 - 2*w. Let t(y) = -3*y**3 - 9*y**2 + 4*y. Let s(r) = -2*t(r) - 5*v(r). What is s(2)?
4
Let a be 0/(-1) + (3 - 0). Let k(w) = -w**2 - a*w**2 - 2 + 5*w**2 + 3 - 2*w. What is k(1)?
0
Let p(d) = d - 7. Let q be p(5). Let k(j) = j**3 + 3*j**2 + j + 1. Let r(a) = -a. Let g(x) = -k(x) - 3*r(x). Calculate g(q).
-9
Let g(j) = j - 19. Let p be g(16). Let a(f) = f**2 + 3*f - 1. Calculate a(p).
-1
Let k = 29 + -32. Let n(d) = -d**2 - 4*d - 3. Give n(k).
0
Let t be (-4 + 2)/((-4)/10). Let f(b) = -2*b + 3*b**2 - t + 2*b - b - 2*b**2. What is f(4)?
7
Suppose 0 = -b + 3*k + 4, 0 = 2*k. Suppose -f + b = -0. Let l(s) = 2*s - 1 - f + 0. Determine l(4).
3
Let b(r) = 7*r + 1. Let j(z) = 3*z**2. Let n be j(1). Let x(h) = h + 3. Let u be x(-3). Suppose 5*q + 2 + n = u. Calculate b(q).
-6
Let r(c) = c**2 + 2*c + 1. Let o be r(-1). Suppose 5*k = -o*k - 20. Let z be ((-4)/(-2) + k)*1. Let p(g) = -2*g + 2. Give p(z).
6
Let p(h) = 3*h**3 + 6*h**2 - 3*h + 12. Let t(y) = -4*y**3 - 6*y**2 + 3*y - 13. Let o(v) = 5*p(v) + 4*t(v). Calculate o(6).
-10
Let o(l) = 13*l**2 - 4*l + 3. Let u(t) = -3*t**2 + t - 1. Let q(m) = -2*o(m) - 9*u(m). What is q(3)?
9
Let y(g) be the second derivative of g**5/20 + 5*g**4/12 - 7*g**3/6 - 5*g**2/2 + g + 1. Determine y(-6).
1
Let z(i) be the first derivative of 6*i - 3/2*i**2 + 1. Determine z(5).
-9
Let r(g) = 7*g**2 + g - 4. Let d(w) = 8*w**2 + w - 5. Let o(a) = -6*d(a) + 7*r(a). Suppose 11*t - 2 + 24 = 0. Determine o(t).
4
Let r = -35 + 39. Let l(u) = -u**3 + 4*u**2 - u - 4. Give l(r).
-8
Let w(t) = 3*t**2 + 2*t. Let r(s) = 4*s**2 + 3*s. Let u(b) = -5*r(b) + 7*w(b). Suppose -4 = -h - 0. Suppose -3*c = -h*c + 1. Calculate u(c).
0
Suppose 0*s - 5*s = 35. Let n = -4 - s. Let h(a) = -n + 5 + 3*a + 0. What is h(-3)?
-7
Suppose -6*i = -7*i + 2. Let s(o) = -2*o**i - 3*o**2 + 2*o**2 - 5 + 2*o**2 + 5*o. What is s(5)?
-5
Let c(l) = -10*l + 13. Let i(n) = -9*n + 12. Let t(s) = -5*c(s) + 6*i(s). Calculate t(6).
-17
Suppose 3 = -q - 5*y, 0 = 3*q - q + y + 6. Let d(a) = a**3 + 4*a**2 + 3*a - 3. What is d(q)?
-3
Let x(y) = 99*y**2 + 55*y + 55. Let n(k) = -7*k**2 - 4*k - 4. Suppose -u - 52 = -w - 4*u, -2*u - 57 = -w. Let m(z) = w*n(z) + 4*x(z). Calculate m(-1).
11
Let f = 50 + -48. Let w(x) be the first derivative of 0*x - 3 + 1/2*x**f - 1/3*x**3. Determine w(1).
0
Let p(j) be the second derivative of j**4/12 + 5*j**3/6 + 5*j**2/2 + 3*j. Suppose -5*z + 2*g - 24 = -z, 0 = 4*z - 4*g + 28. What is p(z)?
5
Let n(w) = 10. Let k(f) = -f - 20. Let h(q) = 3*k(q) + 5*n(q). What is h(-7)?
11
Let o(j) = 2*j**2 - 2 - 5*j**2 - 1 - 4*j - 2*j**2. What is o(-2)?
-15
Let x(l) be the first derivative of l**3/3 - 3*l**2 - 3*l - 11. Determine x(5).
-8
Let q(d) = -2 + 4 + 0*d + 3*d - 4*d. Suppose -2*b - 2*y + 6*y = -32, 5*b - 40 = 2*y. Suppose b = 4*n - 6. Give q(n).
-1
Let j(o) = o**3 - 3*o**2 - o + 3. Let i be j(3). Suppose 8*p - 9*p + 6 = i. Let u(g) = g**3 - 5*g**2 - 6*g - 7. Determine u(p).
-7
Suppose 2*y + 11 = 5*l + 5, 16 = 4*y + 4*l. Suppose 6*d = y*d. Let m be (d/(-2))/(-1 - -3). Let i(b) = b - 5. Determine i(m).
-5
Let l(d) be the first derivative of 0*d**3 - 1 + 0*d + 0*d**2 - 1/4*d**4. Calculate l(-1).
1
Let j(b) = -b**2 - 5*b + 3. Let d be j(-5). Suppose -18 - 2 = -5*l. Suppose l*w = -4*k, k = d*w - 0*k + 8. Let m(q) = -q**2 - 3*q - 3. Give m(w).
-1
Let q be 1 - (-4 - (-1 + 0)). Let k(v) = -v + 4. Let u be k(q). Suppose 3*p + u*p = 0. Let b(a) = a + 8. Determine b(p).
8
Let w be 12/(-8)*(-16)/6. Suppose -w*z = -7*z + 9. Let v(c) = 5*c + 2*c**3 - z*c**2 - 3*c**3 - 1 - 2. Calculate v(-4).
-7
Suppose 0 = 3*s - 6*s + 12. Suppose -s*p - 10 = -2*p. Let f(o) = -2*o - 5. What is f(p)?
5
Let l(y) = y + 1. Let a(p) = -13*p - 7. Let w(f) = a(f) + 6*l(f). Suppose 0 = -3*k + 1 - 4. Give w(k).
6
Suppose 0 = 3*k - x - 2*x, -x + 4 = k. Let p(a) = a**2 + 2 - a**3 - 5*a**k + 5*a + 0*a**2. Let d = -12 - -7. Determine p(d).
2
Let k(z) = -5 + 2 - z + 5*z - 2. Suppose 5*y + 21 + 4 = 0. Let u(s) = -2*s + 2. Let h(v) = y*u(v) - 2*k(v). Calculate h(-2).
-4
Let k be (-9)/2*4/6. Let y = 3 + k. Let u(b) = y*b - 2 + 2*b + 0*b + 5. Calculate u(-5).
-7
Suppose -5*d = -20, -2*d - 3 + 11 = -f. Let i(u) = 3*u**3 + u**2 - 2*u - 1. Let r(k) = -7*k**3 - 2*k**2 + 5*k + 2. Let g(j) = -5*i(j) - 2*r(j). Give g(f).
1
Suppose -2*l + 3*k + 2 = -0, -5*l = -3*k - 14. Let i(y) = -2*y + 4. Determine i(l).
-4
Let j(m) = -3*m**2 - m**2 + 3*m**2 - 2*m. Let d(p) = p**3 - 2*p**2 - 2. Let l be d(2). Calculate j(l).
0
Suppose -10*q - 5 = -15*q. Let f(u) = -8*u. What is f(q)?
-8
Let v(x) be the second derivative of -5*x**3/6 + 3*x**2/2 - 4*x. Calculate v(3).
-12
Let u(s) = -s - 2. Let t be u(-5). Let g(z) = z - 4*z**2 - 4*z**2 + t + 7*z**2. Determine g(3).
-3
Suppose 2*f + f = 0. Let w(k) = -k**2 + 8. Determine w(f).
8
Let p(l) be the first derivative of -l**3/3 + 2*l**2 - l - 2. Let z be p(3). Let s(a) = -3*a**3 - 5*a**z + 4*a**2 + 0*a**2. What is s(-1)?
2
Let t be -4 + -2*(-1)/(-2). Let f = 1 - t. Let r(q) be the second derivative of -q**4/12 + 7*q**3/6 - 2*q**2 - 46*q. Determine r(f).
2
Suppose 0*u = 5*u - 20. Let w(j) = -6*j**2 - 5*j - 4. Let b(o) = 5*o**2 + 4*o + 3. Let q(g) = u*b(g) + 3*w(g). Calculate q(-1).
1
Let s(r) = 16 - 8 + 6*r - 11 - r**2. What is s(2)?
5
Let o(f) be the third derivative of f**4/8 + 2*f**3/3 - 4*f**2. Calculate o(-6).
-14
Let g(s) be the third derivative of s | {
"pile_set_name": "DM Mathematics"
} |
utes after 10:03 AM?
9:15 PM
What is 530 minutes after 8:48 PM?
5:38 AM
How many minutes are there between 9:31 AM and 7:17 PM?
586
How many minutes are there between 5:17 PM and 5:37 PM?
20
How many minutes are there between 5:38 AM and 4:03 PM?
625
What is 667 minutes before 8:55 PM?
9:48 AM
What is 328 minutes before 1:05 PM?
7:37 AM
How many minutes are there between 12:41 AM and 4:41 AM?
240
How many minutes are there between 10:25 AM and 11:56 AM?
91
What is 317 minutes after 4:39 PM?
9:56 PM
What is 252 minutes before 11:49 PM?
7:37 PM
What is 115 minutes before 12:14 AM?
10:19 PM
How many minutes are there between 9:01 AM and 10:44 AM?
103
How many minutes are there between 10:00 AM and 2:24 PM?
264
How many minutes are there between 4:37 PM and 5:37 PM?
60
What is 153 minutes before 3:48 PM?
1:15 PM
What is 62 minutes before 9:46 AM?
8:44 AM
What is 253 minutes after 7:31 PM?
11:44 PM
What is 707 minutes before 8:45 PM?
8:58 AM
What is 535 minutes after 12:53 PM?
9:48 PM
What is 289 minutes after 1:02 AM?
5:51 AM
How many minutes are there between 8:43 PM and 6:50 AM?
607
What is 310 minutes after 2:45 PM?
7:55 PM
What is 700 minutes after 5:15 PM?
4:55 AM
How many minutes are there between 7:22 AM and 10:36 AM?
194
How many minutes are there between 7:47 AM and 1:46 PM?
359
How many minutes are there between 9:06 PM and 8:53 AM?
707
How many minutes are there between 9:24 AM and 10:24 AM?
60
What is 491 minutes after 11:20 PM?
7:31 AM
What is 535 minutes after 8:18 PM?
5:13 AM
What is 578 minutes before 11:33 AM?
1:55 AM
How many minutes are there between 6:41 PM and 2:54 AM?
493
How many minutes are there between 7:34 AM and 1:46 PM?
372
How many minutes are there between 2:53 PM and 6:30 PM?
217
What is 596 minutes after 10:47 AM?
8:43 PM
What is 77 minutes before 7:31 PM?
6:14 PM
How many minutes are there between 12:30 PM and 5:00 PM?
270
What is 110 minutes before 1:38 AM?
11:48 PM
What is 353 minutes after 9:58 AM?
3:51 PM
What is 252 minutes after 9:07 AM?
1:19 PM
What is 371 minutes before 9:09 AM?
2:58 AM
How many minutes are there between 4:23 AM and 2:14 PM?
591
How many minutes are there between 1:07 AM and 7:02 AM?
355
How many minutes are there between 12:46 AM and 8:54 AM?
488
How many minutes are there between 3:13 PM and 8:06 PM?
293
How many minutes are there between 10:14 PM and 9:26 AM?
672
What is 539 minutes after 5:32 AM?
2:31 PM
How many minutes are there between 3:28 PM and 2:58 AM?
690
What is 251 minutes before 10:59 PM?
6:48 PM
What is 446 minutes after 5:16 AM?
12:42 PM
How many minutes are there between 11:39 AM and 9:56 PM?
617
What is 154 minutes before 12:34 AM?
10:00 PM
What is 420 minutes before 2:15 PM?
7:15 AM
How many minutes are there between 8:21 AM and 10:45 AM?
144
What is 185 minutes after 8:03 AM?
11:08 AM
How many minutes are there between 4:34 AM and 9:23 AM?
289
How many minutes are there between 5:18 PM and 11:57 PM?
399
What is 321 minutes after 4:53 AM?
10:14 AM
What is 103 minutes before 10:46 AM?
9:03 AM
What is 39 minutes after 9:17 AM?
9:56 AM
What is 706 minutes before 12:07 AM?
12:21 PM
What is 443 minutes after 6:19 AM?
1:42 PM
How many minutes are there between 3:36 PM and 12:52 AM?
556
What is 304 minutes before 4:10 AM?
11:06 PM
How many minutes are there between 10:05 PM and 3:29 AM?
324
What is 620 minutes before 10:46 PM?
12:26 PM
What is 572 minutes before 6:55 AM?
9:23 PM
How many minutes are there between 12:23 AM and 1:40 AM?
77
What is 160 minutes after 6:57 AM?
9:37 AM
What is 410 minutes before 1:37 PM?
6:47 AM
How many minutes are there between 4:08 AM and 4:02 PM?
714
What is 597 minutes before 11:56 PM?
1:59 PM
How many minutes are there between 7:37 PM and 7:06 AM?
689
What is 211 minutes before 2:04 PM?
10:33 AM
What is 625 minutes before 6:12 PM?
7:47 AM
How many minutes are there between 7:27 PM and 10:01 PM?
154
How many minutes are there between 10:25 AM and 11:21 AM?
56
How many minutes are there between 3:34 AM and 9:46 AM?
372
How many minutes are there between 11:31 PM and 1:53 AM?
142
What is 327 minutes before 9:11 PM?
3:44 PM
What is 90 minutes before 12:10 AM?
10:40 PM
What is 559 minutes before 2:19 AM?
5:00 PM
What is 620 minutes after 2:47 PM?
1:07 AM
What is 293 minutes before 10:37 PM?
5:44 PM
How many minutes are there between 1:06 PM and 9:29 PM?
503
What is 617 minutes after 2:16 AM?
12:33 PM
How many minutes are there between 3:30 AM and 6:52 AM?
202
What is 618 minutes after 7:59 PM?
6:17 AM
How many minutes are there between 1:32 PM and 4:18 PM?
166
What is 448 minutes after 11:09 PM?
6:37 AM
How many minutes are there between 8:51 PM and 2:45 AM?
354
What is 303 minutes after 12:04 AM?
5:07 AM
What is 302 minutes before 3:05 PM?
10:03 AM
What is 586 minutes before 2:18 AM?
4:32 PM
What is 678 minutes after 3:53 AM?
3:11 PM
How many minutes are there between 5:47 PM and 8:02 PM?
135
How many minutes are there between 9:18 AM and 2:21 PM?
303
How many minutes are there between 9:35 PM and 10:15 PM?
40
What is 439 minutes after 1:32 PM?
8:51 PM
How many minutes are there between 1:43 AM and 5:49 AM?
246
What is 252 minutes after 3:42 AM?
7:54 AM
How many minutes are there between 7:55 AM and 1:13 PM?
318
What is 703 minutes after 1:48 PM?
1:31 AM
How many minutes are there between 12:23 PM and 5:38 PM?
315
What is 394 minutes after 12:10 AM?
6:44 AM
What is 607 minutes before 8:18 PM?
10:11 AM
What is 132 minutes after 11:26 PM?
1:38 AM
How many minutes are there between 6:01 AM and 5:34 PM?
693
What is 525 minutes before 12:27 PM?
3:42 AM
How many minutes are there between 7:59 AM and 8:52 AM?
53
What is 592 minutes after 12:24 AM?
10:16 AM
What is 699 minutes after 8:07 AM?
7:46 PM
What is 202 minutes after 4:01 AM?
7:23 AM
What is 194 minutes after 2:52 AM?
6:06 AM
What is 2 minutes before 9:59 AM?
9:57 AM
How many minutes are there between 6:47 PM and 12:32 AM?
345
What is 243 minutes before 7:18 AM?
3:15 AM
How many minutes are there between 8:07 AM and 9:03 AM?
56
What is 535 minutes before 8:47 AM?
11:52 PM
How many minutes are there between 1:58 PM and 5:56 PM?
238
What is 266 minutes after 1:17 PM?
5:43 PM
How many minutes are there between 3:59 PM and 4:39 PM?
40
What is 51 minutes after 5:51 PM?
6:42 PM
What is 305 minutes before 3:39 PM?
10:34 AM
How many minutes are there between 5:48 PM and 1:25 AM?
457
How many minutes are there between 12:55 PM and 2:26 PM?
91
How many minutes are there between 6:04 PM and 8:44 PM?
160
What is 50 minutes after 4:19 PM?
5:09 PM
How many minutes are there between 5:55 PM and 5:00 AM?
665
What is 525 minutes after 11:30 PM?
8:15 AM
How many minutes are there between 10:45 PM and 6:10 AM?
445
How many minutes are there between 11:34 AM and 4:17 PM?
283
What is 703 minutes after 8:21 AM?
8:04 PM
What is 474 minutes after 11:33 AM?
7:27 PM
How many minutes are there between 9:47 AM and 7:56 PM?
609
What is 175 minutes before 8:35 AM?
5:40 AM
How many minutes are there between 5:50 AM and 1:40 PM?
470
How many minutes are there between 1:10 PM and 2:26 PM?
76
How many minutes are there between 4:07 AM and 11:32 AM?
445
What is 320 minutes before 3:01 AM?
9:41 PM
How many minutes are there between 8:23 PM and 1:28 AM?
305
What is 324 minutes after 5:57 PM?
11:21 PM
How many minutes are there between 11:16 AM and 7:29 PM?
493
What is 473 minutes after 2:14 AM?
10:07 AM
What is 443 minutes after 2:23 AM?
9:46 AM
How many minutes are there between 8:28 AM and 4:01 PM?
453
What is 291 minutes before 6:25 PM?
1:34 PM
What is 416 minutes after 7:06 PM?
2:02 AM
How many minutes are there between 2:23 AM and 9:33 AM?
430
What is 665 minutes before 12:15 PM?
1:10 AM
How many minutes are there between 3:45 PM and 5:48 PM?
123
How many minutes are there between 11:53 AM and 11:40 PM?
707
What is 589 minutes before 2:54 PM?
5:05 AM
How many minutes are there between 7:56 PM and 4:30 AM?
514
How many minutes are there between 5:02 AM and 9:45 AM?
283
What is 414 minutes after 8:12 PM?
3:06 AM
What is 251 minutes before 7:19 AM?
3:08 AM
What is 327 minutes before 7:02 AM?
1:35 AM
How many minutes are there between 8:22 AM and 9:51 AM?
89
How many minutes are there between 3:44 AM and 2:51 PM?
667
What is 61 | {
"pile_set_name": "DM Mathematics"
} |
ge 4*r**2 - 29*r**2 + 4*r**2 + 8*r**2 + 5 to the form h + g*r + b*r**2 and give b.
-13
Express -5*a**2 + a**3 + 50*a**4 + 2*a**2 - 49*a**4 - 2*a - 1 + 6*a**2 in the form h*a + g*a**4 + r*a**3 + z*a**2 + v and give z.
3
Express (274*r - 274*r + 15*r**2)*(1 + 4 - 3)*(2 + 1 - 5) in the form o*r + w + z*r**2 and give z.
-60
Express 2*y - 2*y**2 + 2*y + 72 + 71 - 144 as g + b*y**2 + a*y and give a.
4
Express 93 - 4*p - 88 - 3*p + (p + 5 - 5)*(-2 + 4 + 0) in the form o + n*p and give o.
5
Express (-2 + 5 - 1)*(3 + u - 3)*(2*u - 6*u - 3*u) in the form w*u + a + b*u**2 and give b.
-14
Express 2 - m**3 - 3*m**2 - 4*m - 6*m + 10*m as f*m + o*m**3 + d*m**2 + g and give g.
2
Express -4*c**2 + 4*c**2 - 23 - 4*c**2 + 5*c**2 as a + h*c + n*c**2 and give n.
1
Rearrange (-5*h**2 + 10*h**2 - 7*h + 8*h)*(-3 + 2 + 3) to d*h**2 + b + w*h and give d.
10
Rearrange (-1 + 1 - i + 5 + 3*i - 5 + (i - 4*i + 2*i)*(-2 - 1 + 1))*(0 + 0 + i)*(-3*i + 3*i - 2*i**2) to the form q*i**4 + k*i**2 + g*i + n + j*i**3 and give q.
-8
Express -6*z**2 + 0 - 3*z**2 + 0 in the form x + g*z**2 + q*z and give x.
0
Express -u - 4 - 3*u**3 + 2 + 3*u**2 - 4*u**2 as j*u + q + l*u**3 + v*u**2 and give q.
-2
Express 10*m - 18*m**3 - 5*m - 7*m in the form p*m + b*m**3 + v*m**2 + i and give b.
-18
Rearrange 4 + 8 - 4 + 7 - q**3 to the form v*q**2 + d + x*q**3 + y*q and give d.
15
Express 27 - 2*s - 26 - 6*s + 6*s as g*s + k and give g.
-2
Rearrange 16*k**2 + 0*k**2 - 49*k**2 to the form v*k**2 + r + s*k and give v.
-33
Express 17 + 18 + 70*f - 35 in the form b + q*f and give q.
70
Express (-d - d + d)*(-97 + 65 + 53)*(3*d**2 + 3*d**2 - 4*d**2) as s*d + a*d**2 + l*d**3 + y and give l.
-42
Express -49 + 49 - 22*k as o + f*k and give f.
-22
Express -i**2 - 4*i**2 + 3*i**2 - 251*i**2 + 237*i**2 - 3 + 5 + (3*i + 0*i - 5*i)*(-2*i - 1 + 1) as u*i + z + y*i**2 and give z.
2
Express -12*h + 10*h + 42*h + (3 - h - 3)*(1 + 0 - 3) + 0*h + 0*h + 2*h + h - 3*h + 3*h in the form m*h + t and give m.
45
Express (4*n**2 - n**2 + n**2)*(-11*n**2 + 11 - n - 3 + 9*n**2) in the form k*n**2 + q + p*n + g*n**4 + c*n**3 and give c.
-4
Express (-l - l + l)*(3*l + 2 - 26*l**3 + 0*l**3 - 5*l) in the form i*l + g*l**2 + c*l**4 + k*l**3 + r and give c.
26
Express -14*n**2 - 4*n**2 + 4*n - 2*n in the form s*n + z + r*n**2 and give s.
2
Rearrange (-43 + 10 - 41)*(-c**3 + 0*c**3 - c**3)*(-6 + 1 + 3) to b*c**2 + i + f*c + m*c**3 and give m.
-296
Rearrange -o**2 + 89*o - 88*o + 3*o**2 + 2 to the form b + s*o**2 + g*o and give b.
2
Rearrange 13*c**3 + 4*c**3 - 2*c**2 + 3*c**3 + 2 - 23*c**3 to the form a*c + m + b*c**3 + y*c**2 and give y.
-2
Rearrange (1 + 2 - 2)*(-4 - 1 + 0)*(4*u**3 - u**3 - u**3) - 3*u**3 + 0*u**3 + 2*u**3 to the form r*u**3 + n*u + f*u**2 + k and give r.
-11
Rearrange -f**2 + 8 + 3*f**2 + 0 + 0*f**2 to the form k*f**2 + v + r*f and give k.
2
Express (3 + 1 - 7)*(-3*t**4 + 9*t**4 - 4*t**4) in the form f*t**2 + k*t**4 + a*t + m + g*t**3 and give k.
-6
Rearrange (7*n - 7*n + n**2)*(-n + 2 - 2) + n**3 - n**3 - n**3 - 2*n**2 - 3*n**2 + 3*n**2 + 10*n**3 to the form j*n + g*n**2 + r + l*n**3 and give g.
-2
Express 0*p - 3*p**2 + 0*p - 22*p + p**2 as d*p + s*p**2 + k and give d.
-22
Rearrange f**3 - f**4 + 2*f**2 - 2*f**3 - 18 + 17 + 9*f to s*f**4 + t*f**3 + a*f + k*f**2 + c and give t.
-1
Express 3*a**2 - 19 - 3*a + 46 - 2*a**3 - 29 as w*a**3 + j*a + n*a**2 + g and give g.
-2
Express (-4*c + 2*c + 4*c)*((4 - 1 - 4)*(3 - 6 + 4) + 56 - 29 + 50 + (-2 + 1 + 3)*(5 - 3 + 0)) + (5 - c - 5)*(-3 + 5 + 0) in the form d + f*c and give f.
158
Express ((-4 + 3 + 0)*(-6 + 0 + 4) + 5 + 1 + 0)*(-n**2 + 0*n**2 - n**2) in the form z*n + q*n**2 + f and give z.
0
Rearrange (19*s - 27*s + 14*s)*(-4 + 9 + 5) to m*s + v and give m.
60
Rearrange (-225*g + 247*g - 3 + 1)*(-3*g + 0*g + 8*g) to k*g + u*g**2 + w and give k.
-10
Express 93*g**2 - 3*g - 102*g**2 + 3*g in the form t + z*g**2 + x*g and give z.
-9
Express -17*u**2 + 6*u - 2*u**3 + 12*u - 17*u as j*u**3 + b + w*u**2 + x*u and give j.
-2
Rearrange 9*x + 16*x - 11*x + 3*x to the form d + n*x and give n.
17
Express (164*i + 27 - 162*i + 1)*(-2 + 1 + 0) as b*i + l and give l.
-28
Rearrange (5*i - 6*i - 6*i)*(4*i - 2*i + 1 - 4) to l*i**2 + n*i + r and give n.
21
Rearrange -3*n**3 - 24*n + 4*n - 3 + 16*n to the form o*n + t*n**2 + w + a*n**3 and give w.
-3
Rearrange -q**2 + 0*q**2 + 0*q**2 + 2*q**2 - q + q - 4*q**2 + 0*q**2 + 3*q**2 + (-4 - 1 + 4)*(q**2 + q**2 - 5*q**2) to f + l*q**2 + p*q and give l.
3
Rearrange 24*n - 42*n + 30*n to the form m*n + u and give m.
12
Express (-17 + 31 + m - 17)*(-2*m**3 + 0 + 0 + (3*m - 2*m - 3*m)*(5*m**2 - 5*m**2 - 2*m**2)) as o + v*m**3 + h*m**2 + j*m**4 + a*m and give v.
-6
Rearrange -8 + 4 - 1 + 2 + 2*b to the form p + x*b and give x.
2
Rearrange 3*o**2 + 14*o**2 + 4*o**2 - o**2 to the form j*o + f*o**2 + v and give f.
20
Express 2*a + 8 - 8 - 6*a as n + d*a and give d.
-4
Express (16*y - 62*y - 12*y)*((1 - 3 + 4)*(1 - 3 + 3) + (-3 - 1 + 3)*(3 - 4 - 1))*(-y + 4 - 4) as i*y + b + h*y**2 and give h.
232
Rearrange 4*t**2 - 4*t**2 - 2*t**3 + (6*t + t - 5*t)*(-76*t + 76*t + 18*t**2) to m*t**3 + z + y*t**2 + c*t and give m.
34
Express -14 - 2*f**2 + 3*f**2 + 9 in the form v + p*f**2 + k*f and give v.
-5
Express -b + b**2 + b + (2*b + 0 + 0)*(b + 2*b - 2*b) + 3 + 2*b**2 - 3 + 1 + 2*b**2 - 1 + 2*b - b**2 - 2*b - 6 + 2*b**2 + 6 as a + h*b**2 + u*b and give h.
8
Express 8*n - 15*n - n as q*n + g and give q.
-8
Express (61*x + 531*x**2 + 860*x**2 - 61*x)*(-x + x + 2*x) as l*x**3 + q*x + t + z*x**2 and give q.
0
Express (2*z - 1 + 22 + 0)*(0*z - z + 2*z) as p*z**2 + x*z + t and give p.
2
Express (-1 + 0 + 2)*(-6*x + 2*x + 3*x) - 2 + 2 - x + (-6 + 2 + 3)*(2*x - x + 0*x) in the form c*x + d and give c.
-3
Express (-v**2 + 0*v**2 + 0*v**2)*(-5 - 1 - 3) - 3*v**2 + 0*v**2 - v**2 in the form b*v**2 + t*v + j and give b.
5
Express 0*f**3 - f**3 - 4*f**3 + 1 + f**4 + 2*f + f**3 as r*f**4 + k + n*f**3 + w*f**2 + o*f and give r.
1
Express 0*n**3 + 3*n**3 - n**3 + (n - 4*n + 0*n)*(3*n**2 + 0*n**2 - 4*n**2 + (-n + n - 3*n)*(0*n - 2*n + 3*n)) in the form j*n**2 + c*n**3 + q + k*n and give c.
14
Rearrange 2*h**3 + 0*h + 0*h + (-11*h**2 - 10 + 10)*(2*h - 4*h + 0*h) to the form j + m*h + d*h**3 + q*h**2 and give d.
24
Rearrange (1 + 0 - 3)*(l**4 - 5*l**4 - 5*l**4 + (-4*l**3 + l**3 + 4*l**3)*(2*l + 3*l - 3*l)) to the form i + s*l**3 + w*l + o*l**2 + t*l**4 and give t.
14
Rearrange (4 - 5 + 2)*(-79 - 16*n + 79) to i + w*n and give w.
-16
Rearrange -10 + 4*z + 9 + 2*z + 3 + 2*z**3 to a*z + u + h*z**3 + x*z**2 and give h.
2
Express (4*c**2 - c**2 - c**2)*(1 + 4 - 3) - 2*c**2 - 2*c**2 + 2*c**2 - 18*c**2 - 42 + 42 + 0 - c**2 + 0 as v*c**2 + b + f*c and give v.
-17
Rearrange 3*z**2 + 3 + 1 - 2 to the form r*z + w*z**2 + h and give w.
3
Rearrange 4*p**2 + 10 + p - 10*p**2 - 10 to d + v*p**2 + w*p and give d.
0
Express (0*v + 0*v - 2*v)*(v + 0*v + v) - 2 + v**2 + 2 + (1 - 1 + v)*(-v + v + 6*v) in the form z*v + t + s*v**2 and give s.
3
Express 26 - 50*s - 25*s**2 + 49*s + 27*s**2 in the form m*s**2 + f*s + p and give f.
-1
Express -4*x + 3*x - 1 + 4*x**2 - 2*x**4 + 0 + 3*x in the form j*x**4 + d + m*x**3 + i*x + r*x**2 and give j.
-2
Express -2*v**3 - 1 + 1 + 2*v - v**2 - 3*v**2 in the form n*v**3 + f + c*v**2 + j*v and give c.
-4
Rearrange (-157 + 28 - 47)*(-2*x - 1 + x + 3) to d*x + z and give z.
-352
Express 12*d - 25*d + 6*d**3 - 2 + 13*d - 2*d**2 in the form f*d**3 + r + l*d + o*d**2 and give f.
6
Express 3*q - 1 + 2*q - 7*q**2 - 5*q in the form s*q + j + z*q**2 and give z.
-7
Express (0*x - x - x)*((-4 - 1 - 2)*(-4 + 2 - 2) + 3 - 3 + 1 + 2 + 0 - 3 + (1 + 2 - 4)*(1 - 1 + 1) + 1 - 2 + 2) as r*x + p and give r.
-56
Express (-4 + 1 - 2)*(5 + 0 - 3)*(-c**4 + 0*c**4 + 2*c**4) in the form x*c**4 + m*c + i*c**2 + y*c**3 + h and give x.
-10
Rearrange -3*o + 12 + 3*o**3 + 4*o - 10 to k*o + p*o**2 + i*o**3 + q and give q.
2
Express 3*b + b - 3*b + (b + 2*b + 0*b)*(4 + 3 - 4) in the form m*b + h and give h.
0
Express 26*b**3 + 3*b**2 - b**4 - 28*b**3 + 2*b**2 in the form m*b**4 + x*b**2 + g*b + v + o*b**3 and give x.
5
Express -9 + 19*f + 9 + f in the form b + t*f and give t.
20
Express -4 - 841*m + 812*m + 3 as u*m + g and give g.
-1
Rearrange -4*n**4 + 2*n**2 + 4 + 6*n + 4 + 2*n**4 - 7*n to y | {
"pile_set_name": "DM Mathematics"
} |
ind the common denominator of -83/18 and 4 - (602/288 + (-12)/(-54)).
144
Find the common denominator of 43/7 and ((-6)/20)/(6/208).
35
Let n(x) = -x - 1. Let o be n(-3). Suppose -1 - 15 = -o*f. Calculate the least common multiple of 22 and f.
88
Let n = 11210378277/1629380 + 53/162938. Let w = -6885 + n. Find the common denominator of w and 107/12.
60
What is the common denominator of 6/16*(-368)/(-40) + -2 and -109/14?
140
Let u = -107037/16 + 6692. Let j = 134845/11868 + 54/989. Find the common denominator of j and u.
48
Let h(s) = -s**3 - 2*s**2 + 2*s + 2. Let q be h(2). Find the common denominator of -81/8 and (-145)/q*(-4)/(-6).
24
Suppose -2*u = -x + 3*u + 60, 0 = x - 3*u - 60. Let i be 3/(-600)*17282/x. Let v = i + 1/375. Find the common denominator of v and 91/6.
48
Let w = 6 + 2. Let n(q) = -2*q + 12. What is the least common multiple of n(3) and w?
24
Let h = -1940 + 828382/427. Let v = h + -13249/2562. Find the common denominator of v and -91/4.
12
Let i = 16 + -4. What is the lowest common multiple of i and 12?
12
What is the common denominator of (9/60)/(8/(-230)) and -77/20?
80
Let y(m) = m**2 - 4*m - 6. Let w(b) = 3*b. Let a be w(2). Suppose 1 = -4*n + 33. What is the lowest common multiple of n and y(a)?
24
Let l be (-4)/16 - (-61)/4. Suppose l = 2*h + h. Calculate the lowest common multiple of h and 11.
55
Suppose -1 = -4*w + 3. Find the common denominator of 1/(0 + 22/(-5)) and (w + 18)/(12/7).
132
Let y = 32 + -65/2. What is the common denominator of y and 53/18?
18
Find the common denominator of -1/8 and ((-18)/(-12))/((-20)/(-54)).
40
Let c = 1843/2 - 941. Let d(k) be the first derivative of -4*k**2 + 3*k + 9. Calculate the common denominator of c and d(-3).
2
Let j = -85 + 157. Suppose 4*p + 0*p - j = 0. What is the lowest common multiple of p and 16?
144
Calculate the common denominator of 95/122 and (-30)/24*(-188)/(-10).
122
Let l = -32 + 46. Calculate the least common multiple of l and 2.
14
Suppose 0 = 2*x - 2*z + 30, 8*x + 63 = 3*x - z. Let p = x + 22. What is the smallest common multiple of p and 2?
18
Let b(q) = -57*q + 9. What is the lowest common multiple of b(-1) and 8?
264
Suppose 4*i - 32 = -0. Calculate the least common multiple of 6/9*(-84)/(-4) and i.
56
Suppose 0 = -4*p + 4*y + y + 44, 11 = p + 5*y. Calculate the least common multiple of (-20)/(-6) + 2/(-6) and p.
33
Let t = 3160/17 + -49661/255. Let x = t - -49/6. What is the common denominator of x and -77/8?
40
Let s(j) = -4*j**3 + 2*j. Let q be s(2). Let x = q - -40. What is the least common multiple of 12 and x?
12
Suppose -3*u = -8 - 52. What is the least common multiple of u and 154?
1540
Suppose 0*x = -4*n + x + 1, 5*n + 5 = -5*x. What is the lowest common multiple of 1 + (n + 2 - -15) and 2?
18
Let f(o) = -2*o**2 + 1. Let g be f(-1). Let y(l) = -12*l - 1. What is the smallest common multiple of y(g) and (-9)/(-4) + (-3)/12?
22
What is the common denominator of -32/9 and -2 - 94/(-6) - -1?
9
Let d = -1592 + 12803/8. What is the common denominator of -27/22 and d?
88
Let r = -5 - 18. Let n = r + 50. Let v = n + -17. What is the smallest common multiple of v and 3?
30
Calculate the common denominator of 61/6 and (-845)/(-120) - (-3)/9.
24
Let f be (0/2 + 103)*-1. Let w = 12559/36 - 4463/18. Let v = f + w. Calculate the common denominator of -1/4 and v.
12
Let m be (-12)/(-5)*200/16. Let v = m + -124. Calculate the lowest common multiple of 8 and (-12)/(-20) - v/10.
40
Let i = 4 + -15. What is the common denominator of (-2)/12*(-309)/i and ((-14)/(-18))/((-4)/21)?
132
Suppose -4*s - 23 = 49. Let z be s/4*160/15. Find the common denominator of -29/12 and 1/3 - 83/z.
48
Let f be 4 - (-3 - (-5 - 0)). Suppose -2*i = -10 - f. What is the lowest common multiple of 10 and i?
30
Let s be 12/(-9) + (-1)/(-3). Find the common denominator of s/2 - 13/(-3) and -20/7.
42
Let i = -3629 + 18208/5. Let q = -1/1182 + 19309/3546. Calculate the common denominator of q and i.
45
Suppose 2*c - 5 = -f - 7, 4*c - 4 = -3*f. Calculate the smallest common multiple of f and 2.
8
Let z(f) = f + 6. What is the lowest common multiple of 11 and z(-5)?
11
Let d(a) = -2*a**2 - 3*a + 5. Let g be d(5). Let h = 6592 + -39677/6. What is the common denominator of h and 1 + -1 - (-162)/g?
30
Suppose 1809 = -3*b + 3*p, 2*p - 1805 = 3*b - 2*p. Let u = -7375/12 - b. What is the common denominator of -115/18 and u?
36
Let w = -1 - -1. Suppose 4*o = -w*o. Suppose o = -0*p + p - 22. What is the smallest common multiple of p and 22?
22
Let y be (-1)/(-3 + (-28398)/(-9465)). Let u = y - -31497/10. Calculate the common denominator of (-6)/(-15) + (-142)/(-70) and u.
70
Let y be (0 - 2)/(2/(-4)). What is the smallest common multiple of ((-15)/(-7 + 4))/1 and 21/y - (-1)/(-4)?
5
Let b(p) = -p**3 - 9*p**2 - 2*p - 9. Let a be b(-9). What is the common denominator of -67/8 and a/(-3) - (-113)/4?
8
Let q(s) = -s**2 + 5*s - 4. Let u be q(3). Suppose p = -u*p + 33. Calculate the lowest common multiple of p and 8.
88
What is the smallest common multiple of 1/(-4) + (-165)/(-20) and (-6)/(1 + 14/(-8))?
8
Let u = -1/3621 - -423668/39831. Let m = u - 229/66. Find the common denominator of m and 8*(1 - (-13)/(-9)).
18
Calculate the common denominator of ((-2)/24)/(5/(-1390)) and -32/11.
66
Suppose 0 = -6*w + 5*w + 12. Suppose -2*j = 42 + w. Find the common denominator of -49/22 and (j/20)/((-2)/(-12)).
110
What is the smallest common multiple of (0 + 1)/(-3 + 76/24) and 24?
24
Let n be 2 + (2 - -2) - 2. Suppose 6 = -2*h, -n*i + 3*i + 2*h + 17 = 0. Calculate the least common multiple of 5 and i.
55
Suppose -3*u + 36 = -0*u. Let n = u + 4. What is the least common multiple of n and 18?
144
What is the common denominator of ((-1668)/60)/(18/5) and -5/4?
36
Let m(d) = d**3 + 7*d**2 + 3. Let b be m(-7). Suppose -b*z = z. What is the lowest common multiple of 11 - z*(-1)/3 and 10?
110
Suppose -2*g + 31 + 1 = 0. Find the common denominator of ((-3)/g)/(15/170) and 5.
8
Let u be 6/(-21) + 2203/(-7). Let a = 6931/22 + u. What is the common denominator of -45/4 and a?
44
Let k = 15 + -9. Let q(x) = x - 3. Suppose 4 = 2*l - 4. Calculate the lowest common multiple of q(k) and l.
12
Let u(r) = 6*r - 3. Let x = -43 + 26. What is the common denominator of u(-5) and x?
1
Let t be (2 + -3)*(-1 + -1). Suppose 3*c = 4*c - t*d + 15, -5*c - 50 = -5*d. Let y(m) = m + 7. What is the smallest common multiple of 10 and y(c)?
10
Let p be 3*(-1 + 23068/6). Let l = p + -230689/20. Calculate the common denominator of l and (0 + (-6)/(-15))/((-96)/100).
60
Let r = -9565/7854 + 2/561. What is the common denominator of 3 + 10/(-4) + (-68)/(-48) and r?
84
Suppose -12*y + 15*y - 186 = 0. Calculate the least common multiple of 12 and y.
372
Let j = -57 + 35. Let o = -13 - j. What is the lowest common multiple of 6/(-9) - (-14)/3 and o?
36
Let w = -4574659/16 - -286159. Let r = w + -247. What is the common denominator of r and -45/14?
112
Suppose 74 + 66 = 5*o. Find the common denominator of 67/8 and 547/(-70) + (-8)/o.
40
Let h = -4 + 5. Find the common denominator of -31 and h.
1
Let j = 22 - 121/6. What is the common denominator of (-10)/(-36)*(3 - 360/16) and j?
12
Calculate the common denominator of 173/30 and 1/8*2 - (-2977)/(-1716).
330
Suppose -2*h = 3*l - 22, -h + 0 = 3*l - 8. Let f be 1/5 + (-1)/5. Let r = f - -12. Calculate the smallest common multiple of h and r.
84
Suppose -3*r - r + 60 = 0. Let c = -9 + r. Calculate the least common multiple of 10 and c.
30
Suppose -21 = -v + 3. Let r be ((-54)/v)/(3/(-8)). Suppose r*j = 2*j + 88. What is the lowest common multiple of j and 20?
220
Let w(r) = r**2 + 2*r + 3. Let p be (0 - 10/2) + -1. Let q(z) = z**2 + 5*z. What is the least common multiple of w(-5) and q(p)?
18
Let d = -5516/5 + 1098. Let h = -2/8005 + -520319/24015. What is the common denominator of d and h?
15
Suppose 3*f = -0*f + 48. What is the smallest common multiple of 4 and f?
16
Suppose -3*r - 1 = 4*b - 0*r, -3*b - 5*r = 9. What is the lowest common multiple of 8 and 5 - 1 - (b + 1)?
8
Let q = -1532449783/154 + 9951011. Let x = 9/77 + q. Let z = 24/37 + -677/74. Calculate the common denominator of z and x.
2
Suppose 2*p = -p + 21. Suppose -2*g - 3*w + 4*w + 11 = 0, -5*g + 32 = -w. Calculate the lowest common multiple | {
"pile_set_name": "DM Mathematics"
} |
3
-1010
-1 (base 14) to base 12
-1
Convert -15 (base 6) to base 11.
-10
-24 (base 10) to base 7
-33
What is 7 (base 14) in base 11?
7
Convert -230 (base 5) to base 14.
-49
What is 0 (base 8) in base 9?
0
Convert -302 (base 10) to base 3.
-102012
What is -6 (base 9) in base 12?
-6
4 (base 14) to base 12
4
What is 70 (base 8) in base 5?
211
Convert -3 (base 13) to base 2.
-11
What is -40 (base 6) in base 8?
-30
-1110 (base 2) to base 15
-e
Convert -45 (base 7) to base 9.
-36
What is 3 (base 5) in base 16?
3
-3 (base 14) to base 11
-3
Convert -1020 (base 4) to base 10.
-72
-19 (base 14) to base 11
-21
Convert -163 (base 14) to base 9.
-344
4 (base 10) to base 15
4
What is -3 (base 7) in base 6?
-3
What is 1 (base 2) in base 8?
1
Convert -10 (base 7) to base 16.
-7
What is -94 (base 11) in base 2?
-1100111
Convert 21220 (base 3) to base 12.
159
-11 (base 2) to base 5
-3
What is 65 (base 13) in base 4?
1103
Convert 20 (base 3) to base 15.
6
-8 (base 12) to base 16
-8
Convert 122 (base 4) to base 15.
1b
5 (base 15) to base 6
5
Convert -95 (base 16) to base 10.
-149
What is -19 (base 14) in base 3?
-212
What is 5 (base 12) in base 3?
12
Convert 6 (base 15) to base 11.
6
13 (base 8) to base 9
12
Convert -11 (base 4) to base 9.
-5
-2 (base 3) to base 10
-2
Convert -2 (base 8) to base 5.
-2
Convert -12 (base 11) to base 9.
-14
-11021 (base 3) to base 13
-8b
Convert -6 (base 16) to base 6.
-10
What is -1 (base 12) in base 2?
-1
Convert a5 (base 11) to base 8.
163
Convert 110000 (base 2) to base 7.
66
-6 (base 14) to base 13
-6
-ef (base 16) to base 6
-1035
Convert 3 (base 15) to base 6.
3
What is -31 (base 12) in base 6?
-101
-125 (base 8) to base 3
-10011
What is -15 (base 13) in base 16?
-12
What is 2 (base 5) in base 15?
2
What is -11 (base 4) in base 11?
-5
What is -8 (base 13) in base 9?
-8
What is 21 (base 6) in base 11?
12
Convert -41 (base 15) to base 14.
-45
Convert 1c (base 16) to base 15.
1d
-3 (base 7) to base 5
-3
Convert -1bd (base 16) to base 2.
-110111101
3 (base 8) to base 4
3
Convert -6 (base 7) to base 15.
-6
Convert 1 (base 9) to base 16.
1
Convert -21 (base 10) to base 4.
-111
What is -7 (base 10) in base 4?
-13
What is 137 (base 8) in base 6?
235
What is 60 (base 11) in base 3?
2110
Convert -3b (base 13) to base 2.
-110010
What is -1 (base 7) in base 9?
-1
2 (base 11) to base 2
10
Convert 33 (base 8) to base 4.
123
What is -17 (base 15) in base 4?
-112
Convert -7 (base 10) to base 13.
-7
Convert 10 (base 4) to base 13.
4
What is 14 (base 8) in base 7?
15
-2 (base 12) to base 14
-2
What is 76 (base 11) in base 10?
83
What is 30 (base 4) in base 8?
14
Convert -3 (base 9) to base 4.
-3
Convert -a (base 11) to base 16.
-a
What is -59 (base 10) in base 11?
-54
What is 111 (base 4) in base 5?
41
What is -212 (base 10) in base 3?
-21212
Convert 7 (base 15) to base 16.
7
What is 33 (base 13) in base 10?
42
Convert c (base 15) to base 8.
14
What is 4 (base 16) in base 9?
4
Convert d (base 15) to base 9.
14
16 (base 14) to base 15
15
-3 (base 15) to base 10
-3
What is -30 (base 12) in base 7?
-51
Convert -8 (base 16) to base 13.
-8
What is 0 (base 5) in base 8?
0
-3 (base 10) to base 12
-3
What is 20 (base 8) in base 12?
14
Convert -108 (base 12) to base 16.
-98
Convert 1230 (base 4) to base 7.
213
Convert -11 (base 6) to base 9.
-7
50 (base 6) to base 15
20
Convert -1021 (base 4) to base 8.
-111
174 (base 12) to base 3
22121
18 (base 10) to base 8
22
Convert -20 (base 3) to base 6.
-10
What is 10 (base 7) in base 6?
11
3 (base 10) to base 13
3
-6 (base 11) to base 7
-6
-21 (base 13) to base 10
-27
Convert 1 (base 8) to base 11.
1
Convert -23 (base 8) to base 12.
-17
Convert 1111 (base 3) to base 10.
40
Convert -2 (base 13) to base 7.
-2
What is 2 (base 13) in base 9?
2
What is 9 (base 14) in base 16?
9
Convert 11010 (base 2) to base 12.
22
-43 (base 9) to base 16
-27
Convert 1011001 (base 2) to base 14.
65
Convert 3 (base 7) to base 13.
3
Convert -3 (base 4) to base 13.
-3
What is -2233 (base 4) in base 13?
-106
What is 11 (base 5) in base 16?
6
-4 (base 7) to base 15
-4
Convert -9 (base 12) to base 15.
-9
Convert -1 (base 9) to base 8.
-1
What is 1430 (base 6) in base 16?
17a
-7 (base 13) to base 4
-13
What is -111 (base 2) in base 16?
-7
Convert 217 (base 9) to base 11.
152
14 (base 11) to base 16
f
What is 17 (base 15) in base 3?
211
Convert -4 (base 13) to base 7.
-4
-1 (base 5) to base 11
-1
Convert 2 (base 12) to base 11.
2
1011 (base 2) to base 13
b
10 (base 3) to base 6
3
What is 2321 (base 4) in base 3?
20212
What is 11011 (base 2) in base 9?
30
6 (base 12) to base 4
12
22 (base 13) to base 16
1c
-3 (base 10) to base 7
-3
10 (base 10) to base 9
11
-70 (base 12) to base 5
-314
-41 (base 7) to base 9
-32
Convert -2 (base 16) to base 2.
-10
What is 18 (base 14) in base 12?
1a
What is -13 (base 6) in base 15?
-9
2 (base 6) to base 16
2
Convert 11 (base 2) to base 15.
3
-39 (base 11) to base 14
-30
-6 (base 10) to base 12
-6
-3 (base 7) to base 16
-3
Convert 2111 (base 3) to base 11.
61
What is -1 (base 3) in base 15?
-1
1 (base 6) to base 13
1
1 (base 11) to base 12
1
Convert -1100110 (base 2) to base 8.
-146
-4 (base 14) to base 13
-4
Convert -36 (base 15) to base 4.
-303
-1145 (base 6) to base 13
-188
What is 0 (base 9) in base 14?
0
10 (base 7) to base 6
11
8 (base 11) to base 5
13
2 (base 13) to base 2
10
Convert -5 (base 6) to base 8.
-5
What is -2 (base 10) in base 15?
-2
3 (base 16) to base 4
3
-24 (base 14) to base 16
-20
Convert 20 (base 6) to base 14.
c
Convert 0 (base 12) to base 3.
0
What is 33 (base 14) in base 3?
1200
Convert -6 (base 11) to base 7.
-6
Convert 1 (base 6) to base 10.
1
What is 11 (base 7) in base 10?
8
What is -3 (base 14) in base 10?
-3
What is -4b (base 12) in base 14?
-43
21 (base 3) to base 12
7
Convert 30 (base 6) to base 9.
20
What is -1 (base 6) in base 10?
-1
What is 6 (base 11) in base 13?
6
Convert 0 (base 15) to base 8.
0
What is -9a (base 12) in base 7?
-226
11 (base 3) to base 2
100
Convert 32 (base 9) to base 3.
1002
What is 1 (base 13) in base 11?
1
Convert -4 (base 6) to base 15.
-4
What is 6 (base 11) in base 15?
6
Convert -3 (base 10) to base 11.
-3
Convert -10 (base 2) to base 15.
-2
-10101 (base 2) to base 12
-19
2 (base 3) to base 16
2
What is 4 (base 16) in base 10?
4
-5 (base 6) to base 11
-5
Convert 1324 (base 5) to base 9.
257
3 (base 8) to base 14
3
16 (base 7) to base 15
d
155 (base 7) to base 16
59
-100 (base 5) to base 15
-1a
What is 20 (base 16) in base 11?
2a
Convert 0 (base 15) to base 8.
0
Convert 29 (base 10) to base 7.
41
Convert 1 (base 7) to base 14.
1
2 (base 6) to base 5
2
What is 14 (base 7) in base 11?
10
What is e (base 16) in base 10?
14
What is -42 (base 5) in base 11?
-20
20 (base 5) to base 7
13
What is -1 (base 6) in base 11?
-1
-257 (base 8) to base 10
-175
What is 12 (base 8) in base 6?
14
Convert -26 (base 12) to base 7.
-42
64 (base 10) to base 16
40
What is -18 (base 9) in base 13?
-14
What is -70 (base 11) in base 13?
-5c
13 (base 12) to base 3
120
-1112 (base 3) to base 10
-41
What is 8 (base 15) in base 6?
12
What is 4 (base 9) in base 4?
10
What is 303 (base 5) in base 13?
60
What is 9 (base 12) in base 15?
9
Convert 1 (base 6) to base 5.
1
-328 (base 11) to base 7
-1101
Convert -124 (base 6) to base 5.
-202
Convert -24 (base 15) to base 2.
-100010
-3 (base 14) to base 6
-3
What is -123 (base 10) in base 5?
-443
Convert -a1 (base 16) to base 3.
-12222
Convert 59 (base 11) to base 6.
144
Convert 102 (base 3) to base 2.
1011
What is 58 (base 16) in base 4?
1120
22 (base 3) to base 5
13
-110200 (base 3) to base 4
-11112
49 (base 11) to base 7
104
Convert -24 (base 14) to base 4.
-200
What is 19 (base 15) in base 16?
18
Convert 10 (base 8) to base 2.
1000
-50 (base 11) to base 2
-110111
Convert 1 (base 16) to base 12.
1
What is -5a (base 15) in base 11?
-78
Convert 146 (base 14) to base 6.
1110
What is -99 (base 13) in base 3?
-11200
What is -3 (base 13) in base 10?
-3
Convert -1111011 (base 2) to base 15.
-83
What is -1 (base 13) in base 11?
-1
-2 (base 3) to base 16
-2
What is 7 (base 10) in base 3?
21
What is -a4 (base 16) in base 15?
-ae
What is -1 (base 16) in base 14?
-1
0 (base 3) to base 12
0
5 (base 7) to base 8
5
3 (base 8) to base 16
3
Wha | {
"pile_set_name": "DM Mathematics"
} |
k**2 + 1540*k - 28
What is the o'th term of -42946, -171846, -386684, -687460, -1074174?
-42969*o**2 + 7*o + 16
What is the w'th term of 2338, 7407, 15214, 25759, 39042, 55063?
1369*w**2 + 962*w + 7
What is the q'th term of -1758, -4266, -7566, -11658, -16542, -22218?
-396*q**2 - 1320*q - 42
What is the x'th term of 11289, 45130, 101535, 180504?
11282*x**2 - 5*x + 12
What is the y'th term of -14520, -35716, -56910, -78102?
y**2 - 21199*y + 6678
What is the m'th term of -57213, -57273, -57333, -57393, -57453, -57513?
-60*m - 57153
What is the m'th term of -14897199, -29794374, -44691491, -59588520, -74485431, -89382194?
5*m**3 - m**2 - 14897207*m + 4
What is the d'th term of -22855, -91036, -204671, -363760, -568303, -818300, -1113751?
-22727*d**2 - 128
What is the t'th term of -4164918, -8329833, -12494748, -16659663?
-4164915*t - 3
What is the w'th term of 5173, 4909, 4645, 4381?
-264*w + 5437
What is the i'th term of 24039241, 48078477, 72117711, 96156943, 120196173, 144235401?
-i**2 + 24039239*i + 3
What is the h'th term of -43688, -43741, -43824, -43943, -44104, -44313?
-h**3 - 9*h**2 - 19*h - 43659
What is the o'th term of -15702, -31042, -46382, -61722?
-15340*o - 362
What is the b'th term of -199698, -798782, -1797248, -3195096, -4992326?
-199691*b**2 - 11*b + 4
What is the i'th term of 1919546, 7678178, 17275898, 30712706?
1919544*i**2 + 2
What is the l'th term of 1733, 3478, 5259, 7076?
18*l**2 + 1691*l + 24
What is the v'th term of 90823869, 90823869, 90823867, 90823863, 90823857?
-v**2 + 3*v + 90823867
What is the z'th term of 16401, 16390, 16295, 16074, 15685, 15086, 14235?
-7*z**3 + 38*z + 16370
What is the a'th term of 120, -408, -1238, -2370, -3804, -5540?
-151*a**2 - 75*a + 346
What is the w'th term of 786, 6449, 21854, 51873, 101378, 175241?
812*w**3 - w**2 - 18*w - 7
What is the s'th term of -46294, -92673, -139100, -185581, -232122?
-s**3 - 18*s**2 - 46318*s + 43
What is the q'th term of -72322, -290571, -654746, -1164847, -1820874, -2622827?
-72963*q**2 + 640*q + 1
What is the z'th term of -288257, -1153386, -2595385, -4614254, -7209993?
-288435*z**2 + 176*z + 2
What is the v'th term of 30305, 30306, 30307, 30308, 30309, 30310?
v + 30304
What is the s'th term of -282515, -1130074, -2542677, -4520324, -7063015?
-282522*s**2 + 7*s
What is the d'th term of -28937732, -57875381, -86813032, -115750685, -144688340, -173625997?
-d**2 - 28937646*d - 85
What is the n'th term of 631, 661, 749, 925, 1219, 1661, 2281, 3109?
5*n**3 - n**2 - 2*n + 629
What is the a'th term of 28043, 111314, 249803, 443510, 692435, 996578, 1355939?
27609*a**2 + 444*a - 10
What is the i'th term of 34206, 34046, 33774, 33384, 32870, 32226?
-i**3 - 50*i**2 - 3*i + 34260
What is the f'th term of 22171, 44371, 66585, 88813?
7*f**2 + 22179*f - 15
What is the n'th term of 14706, 58889, 132522, 235605, 368138?
14725*n**2 + 8*n - 27
What is the q'th term of 41612, 83209, 124806, 166403, 208000?
41597*q + 15
What is the r'th term of 525003, 1050004, 1575005, 2100006, 2625007, 3150008?
525001*r + 2
What is the w'th term of -106677, -106731, -106791, -106857, -106929?
-3*w**2 - 45*w - 106629
What is the t'th term of -842228, -1684448, -2526668, -3368888?
-842220*t - 8
What is the m'th term of -11546, -19434, -27238, -34916, -42426?
7*m**3 - 7937*m - 3616
What is the w'th term of 12488, 45364, 100158, 176870, 275500?
10959*w**2 - w + 1530
What is the t'th term of 88406, 88343, 88280, 88217, 88154?
-63*t + 88469
What is the l'th term of -5220, -7771, -14700, -28197, -50452, -83655?
-365*l**3 + l**2 + l - 4857
What is the k'th term of 33560569, 33560562, 33560551, 33560536?
-2*k**2 - k + 33560572
What is the m'th term of -1143353, -1143093, -1142391, -1141025, -1138773, -1135413, -1130723?
37*m**3 - m**2 + 4*m - 1143393
What is the h'th term of 187248923, 187248924, 187248925, 187248926?
h + 187248922
What is the k'th term of -301546, -301522, -301490, -301450, -301402, -301346, -301282?
4*k**2 + 12*k - 301562
What is the w'th term of 82724, 165452, 248180?
82728*w - 4
What is the v'th term of -1876343, -3752687, -5629031?
-1876344*v + 1
What is the a'th term of -27246, -53103, -78960, -104817, -130674, -156531?
-25857*a - 1389
What is the o'th term of 478, 1876, 4186, 7408, 11542, 16588?
456*o**2 + 30*o - 8
What is the i'th term of -11816, -99320, -336834, -799364, -1561916?
-12501*i**3 + i**2 + 684
What is the j'th term of -235128, -233456, -231784, -230112?
1672*j - 236800
What is the m'th term of 1709, 3381, 6173, 10085?
560*m**2 - 8*m + 1157
What is the q'th term of 2786, 7768, 15142, 24908, 37066, 51616?
1196*q**2 + 1394*q + 196
What is the j'th term of 5535928, 11071856, 16607784, 22143712, 27679640, 33215568?
5535928*j
What is the v'th term of 1361, 4573, 7785, 10997, 14209, 17421?
3212*v - 1851
What is the i'th term of 4265, 4269, 4293, 4349, 4449, 4605?
2*i**3 - 2*i**2 - 4*i + 4269
What is the t'th term of -68, 296, 1286, 3214, 6392, 11132, 17746, 26546?
52*t**3 + t**2 - 3*t - 118
What is the j'th term of -381204, -381098, -380992?
106*j - 381310
What is the i'th term of -1546, -3734, -6566, -10042, -14162?
-322*i**2 - 1222*i - 2
What is the k'th term of 9861, 78228, 263601, 624480, 1219365?
9750*k**3 + 3*k**2 + 108*k
What is the b'th term of -5402, -21755, -49242, -88049, -138362, -200367?
-31*b**3 - 5381*b**2 + 7*b + 3
What is the v'th term of -18335, -17410, -15875, -13736, -10999, -7670, -3755?
-v**3 + 311*v**2 - v - 18644
What is the b'th term of 301733, 603475, 905217?
301742*b - 9
What is the r'th term of -5905, -4127, -1161, 2993, 8335?
594*r**2 - 4*r - 6495
What is the c'th term of -8057, -32240, -72557, -129014, -201617, -290372?
-c**3 - 8061*c**2 + 7*c - 2
What is the b'th term of -34268, -34251, -34224, -34187, -34140, -34083?
5*b**2 + 2*b - 34275
What is the x'th term of -2443213, -4886555, -7329897?
-2443342*x + 129
What is the v'th term of -7168, -15100, -23002, -30874, -38716, -46528, -54310?
15*v**2 - 7977*v + 794
What is the d'th term of -2565718, -5131423, -7697128?
-2565705*d - 13
What is the p'th term of 570124, 1140513, 1710902?
570389*p - 265
What is the o'th term of -15355, -23784, -32213, -40642?
-8429*o - 6926
What is the a'th term of 2103, 2207, 2289, 2349?
-11*a**2 + 137*a + 1977
What is the q'th term of -133647, -267315, -401019, -534765, -668559, -802407, -936315?
-q**3 - 12*q**2 - 133625*q - 9
What is the i'th term of -1923054, -1923073, -1923092?
-19*i - 1923035
What is the h'th term of 84889, 339445, 763705, 1357669, 2121337, 3054709?
84852*h**2 + 37
What is the q'th term of 39146, 78353, 117560, 156767, 195974?
39207*q - 61
What is the v'th term of 154392997, 308785994, 463178991, 617571988, 771964985?
154392997*v
What is the x'th term of 56577, 225971, 508295, 903549?
56465*x**2 - x + 113
What is the t'th term of -2009, -3350, -3977, -3890?
357*t**2 - 2412*t + 46
What is the b'th term of -232026, -231564, -231102?
462*b - 232488
What is the z'th term of -300, -2677, -9960, -24603, -49060?
-409*z**3 + z**2 + 483*z - 375
What is the b'th term of -220, -297, -298, -223, -72, 155, 458?
38*b**2 - 191*b - 67
What is the x'th term of 743467, 2973881, 6691235, 11895529, 18586763, 26764937, 36430051?
743470*x**2 + 4*x - 7
What is the b'th term of 27091, 108267, 243543, 432919, 676395, 973971?
27050*b**2 + 26*b + 15
What is the p'th term of 815457, 815404, 815357, 815316?
3*p**2 - 62*p + 815516
What is the r'th term of 13571, 12163, 9813, 6521?
-471*r**2 + 5*r + 14037
What is the r'th term of 3689, 6124, 8559, 10994, 13429?
2435*r + 1254
What is the l'th term of 18512, 26064, 33616, 41168, 48720, 56272?
7552*l + 10960
What is the j'th term of -2792820, -11171275, -25135366, -44685093, -69820456, -100541455?
-2792818*j**2 - j - 1
What is the u'th term of 1044, 859, 712, 627, 628, 739?
4*u**3 - 5*u**2 - 198*u + 1243
What is the w'th term of 647, 1825, 5041, 11321, 21691, 37177?
171*w**3 - 7*w**2 + 2*w + 481
What is the a'th term of 100388, 401246, 902676, 1604678, 2507252?
100286*a**2 + 102
What is the o'th term of 1280, 2982, 5378, 8816, 13644, 20210?
58*o**3 - o**2 + 1299*o - 76
What is the o'th term of 6867, 6693, 6519, 6345, 6171, 5997?
-174*o + 7041
What is the j'th term of -345, -572, -797, -972, -1049, -980, -717, -212?
8*j* | {
"pile_set_name": "DM Mathematics"
} |
6
Calculate the remainder when 150514 is divided by 25.
14
What is the remainder when 4900 is divided by 1498?
406
What is the remainder when 123169 is divided by 61576?
17
Calculate the remainder when 26820 is divided by 6702.
12
What is the remainder when 17267 is divided by 4311?
23
Calculate the remainder when 80454 is divided by 63.
3
Calculate the remainder when 2933 is divided by 32.
21
Calculate the remainder when 1135 is divided by 225.
10
Calculate the remainder when 5813 is divided by 1168.
1141
What is the remainder when 504 is divided by 115?
44
What is the remainder when 49983 is divided by 10?
3
What is the remainder when 385731 is divided by 6?
3
Calculate the remainder when 59129 is divided by 32.
25
Calculate the remainder when 583 is divided by 213.
157
What is the remainder when 13467 is divided by 115?
12
What is the remainder when 75410 is divided by 15082?
0
What is the remainder when 647221 is divided by 64722?
1
What is the remainder when 495 is divided by 249?
246
What is the remainder when 50535 is divided by 25264?
7
What is the remainder when 455691 is divided by 77?
5
What is the remainder when 146099 is divided by 11238?
5
Calculate the remainder when 10398 is divided by 10398.
0
Calculate the remainder when 39650 is divided by 168.
2
Calculate the remainder when 6922 is divided by 417.
250
Calculate the remainder when 11620 is divided by 166.
0
What is the remainder when 5507 is divided by 2487?
533
What is the remainder when 4841196 is divided by 532?
528
What is the remainder when 661 is divided by 300?
61
What is the remainder when 65587 is divided by 13113?
22
Calculate the remainder when 1447 is divided by 57.
22
Calculate the remainder when 861 is divided by 119.
28
Calculate the remainder when 2878 is divided by 2878.
0
Calculate the remainder when 2183199 is divided by 13.
5
Calculate the remainder when 70479 is divided by 34.
31
Calculate the remainder when 1067 is divided by 352.
11
What is the remainder when 59101 is divided by 3690?
61
Calculate the remainder when 169 is divided by 15.
4
Calculate the remainder when 225930 is divided by 4911.
24
Calculate the remainder when 20037 is divided by 54.
3
Calculate the remainder when 296390 is divided by 59272.
30
Calculate the remainder when 550 is divided by 120.
70
Calculate the remainder when 61257 is divided by 6.
3
Calculate the remainder when 4611 is divided by 220.
211
What is the remainder when 331553 is divided by 60?
53
What is the remainder when 31483 is divided by 534?
511
Calculate the remainder when 18896 is divided by 1349.
10
Calculate the remainder when 6655 is divided by 212.
83
Calculate the remainder when 419 is divided by 12.
11
What is the remainder when 2979 is divided by 76?
15
What is the remainder when 25510 is divided by 12752?
6
What is the remainder when 7134 is divided by 1051?
828
What is the remainder when 451278 is divided by 20?
18
Calculate the remainder when 15423 is divided by 27.
6
What is the remainder when 1449308 is divided by 24?
20
Calculate the remainder when 488 is divided by 255.
233
Calculate the remainder when 1797 is divided by 359.
2
Calculate the remainder when 18268 is divided by 979.
646
Calculate the remainder when 881473 is divided by 23.
21
Calculate the remainder when 191509 is divided by 18.
7
What is the remainder when 76508 is divided by 10929?
5
What is the remainder when 103246 is divided by 3971?
0
Calculate the remainder when 20892 is divided by 590.
242
Calculate the remainder when 589 is divided by 10.
9
What is the remainder when 9866 is divided by 49?
17
Calculate the remainder when 1309318 is divided by 4578.
10
What is the remainder when 363137 is divided by 134?
131
What is the remainder when 376 is divided by 311?
65
Calculate the remainder when 52380 is divided by 17460.
0
Calculate the remainder when 116906 is divided by 299.
296
What is the remainder when 3501 is divided by 881?
858
What is the remainder when 782 is divided by 373?
36
What is the remainder when 32411 is divided by 10798?
17
Calculate the remainder when 17547 is divided by 1425.
447
What is the remainder when 2440 is divided by 34?
26
Calculate the remainder when 1072811 is divided by 1014.
1013
Calculate the remainder when 71726 is divided by 3984.
14
What is the remainder when 18277 is divided by 238?
189
What is the remainder when 80510 is divided by 10?
0
What is the remainder when 15688 is divided by 3125?
63
Calculate the remainder when 50368 is divided by 559.
58
Calculate the remainder when 7857 is divided by 762.
237
Calculate the remainder when 27348 is divided by 13673.
2
Calculate the remainder when 739201 is divided by 79.
77
What is the remainder when 2071629 is divided by 8?
5
What is the remainder when 919631 is divided by 649?
647
Calculate the remainder when 14114 is divided by 643.
611
Calculate the remainder when 94505 is divided by 139.
124
What is the remainder when 4740 is divided by 586?
52
Calculate the remainder when 134518 is divided by 12.
10
What is the remainder when 25608 is divided by 3?
0
Calculate the remainder when 6610 is divided by 441.
436
Calculate the remainder when 23990 is divided by 45.
5
Calculate the remainder when 40815 is divided by 13351.
762
What is the remainder when 2266 is divided by 552?
58
Calculate the remainder when 22141 is divided by 103.
99
Calculate the remainder when 3208 is divided by 1045.
73
What is the remainder when 774519 is divided by 378?
375
What is the remainder when 381671 is divided by 152?
151
Calculate the remainder when 18671 is divided by 3733.
6
What is the remainder when 1225894 is divided by 341?
340
Calculate the remainder when 103469 is divided by 51726.
17
What is the remainder when 6995294 is divided by 1837?
1835
Calculate the remainder when 106 is divided by 71.
35
What is the remainder when 5838947 is divided by 1690?
1687
What is the remainder when 21256 is divided by 10294?
668
What is the remainder when 63475 is divided by 4?
3
What is the remainder when 26232 is divided by 513?
69
What is the remainder when 13757 is divided by 916?
17
What is the remainder when 2659 is divided by 126?
13
What is the remainder when 76660 is divided by 15?
10
What is the remainder when 161014 is divided by 671?
645
Calculate the remainder when 2346 is divided by 27.
24
What is the remainder when 2535 is divided by 6?
3
Calculate the remainder when 49134 is divided by 26.
20
Calculate the remainder when 18090 is divided by 17470.
620
Calculate the remainder when 97450 is divided by 1680.
10
What is the remainder when 23356 is divided by 2363?
2089
What is the remainder when 4327 is divided by 394?
387
What is the remainder when 2125 is divided by 659?
148
What is the remainder when 252917 is divided by 31613?
13
What is the remainder when 7856 is divided by 539?
310
Calculate the remainder when 6434 is divided by 125.
59
Calculate the remainder when 40858 is divided by 89.
7
Calculate the remainder when 2210 is divided by 113.
63
What is the remainder when 964 is divided by 281?
121
Calculate the remainder when 2335 is divided by 67.
57
Calculate the remainder when 452270 is divided by 101.
93
What is the remainder when 147259 is divided by 882?
847
Calculate the remainder when 378758 is divided by 26.
16
What is the remainder when 28071 is divided by 234?
225
Calculate the remainder when 1667 is divided by 541.
44
What is the remainder when 1341 is divided by 5?
1
What is the remainder when 20787 is divided by 35?
32
What is the remainder when 458836 is divided by 626?
604
What is the remainder when 873 is divided by 519?
354
Calculate the remainder when 163014 is divided by 5621.
5
What is the remainder when 14701 is divided by 264?
181
Calculate the remainder when 92188 is divided by 15.
13
What is the remainder when 62636 is divided by 20?
16
Calculate the remainder when 7676 is divided by 6883.
793
Calculate the remainder when 213564 is divided by 26694.
12
Calculate the remainder when 4417 is divided by 78.
49
Calculate the remainder when 574708 is divided by 936.
4
Calculate the remainder when 32980 is divided by 42.
10
Calculate the remainder when 15337 is divided by 593.
512
Calculate the remainder when 2258 is divided by 644.
326
C | {
"pile_set_name": "DM Mathematics"
} |
. What is the units digit of c(-5)?
3
Let v = 2 + 1. Suppose -5*i + 4 = -v*i. What is the units digit of i?
2
Suppose -5*a = 2*y - 25, -6*y = -2*y - 3*a - 11. What is the units digit of y?
5
Suppose -4*h = 5*z - 0*h - 183, 3*z + 4*h - 105 = 0. What is the tens digit of (z/(-6))/(4/(-8))?
1
Let h(y) = -y**2 - 7*y - 5. Let r be h(-5). Let w = 8 - r. What is the units digit of w?
3
Let v(i) = i - 1. Let t be v(5). Suppose 4*b - t = 20. What is the units digit of b?
6
Let l(t) = 1 - 2*t + 36*t**2 - 37*t**2 - 4*t. What is the units digit of l(-4)?
9
Suppose -149 = -3*q + s + 81, q + 2*s - 65 = 0. What is the units digit of q?
5
Let r = -20 + 42. Suppose p - 4*n + 15 = 0, -2*p - 4*n - n = -r. What is the units digit of p?
1
Suppose -4*z + 36 = -0. What is the units digit of z?
9
Let k(p) = -2*p + 3. Let y be k(-2). What is the tens digit of 5/(-35) + 211/y?
3
Let j be (-9)/(-6)*22/3. Suppose 0 = -3*l + 2*l + j. Let o = 27 - l. What is the units digit of o?
6
Let v be -3 + 6*(-1)/(-2). Suppose v*z + z = 34. What is the units digit of z?
4
Suppose 3*j = 247 - 43. What is the tens digit of j?
6
What is the units digit of ((-3)/2)/(6/(-1908)*9)?
3
Suppose -5*q + 936 = -2*m, -4*q + 6*q - 366 = -2*m. What is the tens digit of q?
8
Let z(r) = -4*r + 24. What is the units digit of z(-13)?
6
Let c = 129 - 49. What is the tens digit of c?
8
Let r(m) be the first derivative of 3*m**2/2 - 3. What is the units digit of r(3)?
9
Let c = 23 + -17. Let g = -5 + 8. What is the units digit of g/2*4/c?
1
Suppose -3*q = 12 - 60. What is the tens digit of q?
1
Let h = 28 + -26. What is the units digit of h?
2
Let a = -10 - -14. What is the units digit of 16 - 4*3/a?
3
Let r(h) = -h**2 - 5*h - 5. Let d be r(-4). What is the units digit of -1 - d - 12/(-6)?
2
What is the tens digit of ((-2)/2)/((-12)/564)?
4
Let t(a) = a. Let x(c) = -c**2 + 2*c + 2. Let i be x(2). What is the units digit of t(i)?
2
Suppose -2*r = 4*i - 2, 5*i = -5*r - 8 - 7. Let w = -4 - r. What is the units digit of w?
3
Suppose -31 = 2*o - 2*r + 41, -36 = o - 4*r. Let w = 8 + o. What is the units digit of (1 + -2)/(2/w)?
4
Let m = -5 - 12. Let t = m + 29. What is the tens digit of t?
1
Let k be 1 + -3 - (-1 - 0). Let i = 3 + k. Let y = i - -9. What is the units digit of y?
1
Suppose -3*l = 5*l - 840. What is the tens digit of l?
0
What is the units digit of (-573)/(-2) - (0 + (-6)/12)?
7
Let y(c) = c**2 + 3*c - 6. Let o be y(-5). Suppose 0 = -2*a + 3*v + 29, -o*a - 6 = -4*v - 62. What is the units digit of a?
3
Suppose 5*f + 2 = 3*f. Let t(h) = h**3 - 3*h**2 - h + 4. Let r be t(3). What is the units digit of 4*(2 - r) + f?
3
Let b = -1 + 9. Let w = b - 6. Suppose 0 = i - w*i + 2. What is the units digit of i?
2
Let i(v) = -11*v + 1. Let c(w) = w - 2. Let h be c(0). What is the tens digit of i(h)?
2
What is the tens digit of 65 + (0 - 1) + -3?
6
Let u be 168/5 + 12/30. Let z = u + 2. What is the tens digit of z?
3
Let s(u) = -4*u + u + 4*u - 2. Let a be s(2). What is the units digit of a + -1 + 3 + 3?
5
Suppose b - 53 = 28. What is the tens digit of b?
8
Let j(b) = b**3 - 3*b**2 - 2*b - 3. Suppose 12 = 4*m - m. What is the units digit of j(m)?
5
What is the units digit of 1173/6 - -2 - (-3)/(-6)?
7
Suppose -5*y - w = -22, 3*w - w - 4 = 0. Suppose -y*v = -v - 6. What is the units digit of v?
2
Suppose 0 = -0*y + 5*y + 3*l - 3, -5*y - 2*l + 7 = 0. Suppose a + 2 - y = 0. What is the units digit of a?
1
Let i = 9 - 5. Suppose 13 = -i*u + 81. What is the units digit of u?
7
Suppose 2*x = -2*q + 98, 2*x + 3*x = 5*q + 225. What is the tens digit of x?
4
Let r = 62 + -43. What is the tens digit of r?
1
Let v be 0/1*1/(-2). Suppose -5*w + 7 - 2 = v. What is the units digit of -6*3/(-6) + w?
4
Let f(q) = 2*q - 4. Let n be f(8). Suppose w = 5*i + 2*w + n, 2*i + 3*w = 3. Let c = i - -13. What is the units digit of c?
0
Suppose 0 = -10*w + 9*w + 47. What is the tens digit of w?
4
Suppose -3*o + 69 = -0*o. What is the units digit of o?
3
Let g = -87 + 39. Let m = 72 + g. What is the units digit of m?
4
Suppose -215 = -5*r + 5*l, 5*r = 2*l + 118 + 85. What is the tens digit of r?
3
Suppose 0 = -0*h + h - 2. Let j be ((6 + 2)/1)/h. What is the units digit of (-4)/8 + 50/j?
2
Let g = -5 + 5. Suppose 0 = -4*r - g*r + 8. What is the units digit of r?
2
Let f = 5 - 4. Let q be 1 + f + 1 - -20. Suppose 3 - q = -4*u. What is the units digit of u?
5
Let k(j) = j**2 - 11*j + 2. Suppose 5*a + 9 = -6. Let z be a*(-11)/3 + 1. What is the tens digit of k(z)?
1
Let f = 29 + -7. Suppose -f = -4*u + 5*b, 5*b - 48 = -5*u + b. What is the units digit of u?
8
Suppose -2*p - 91 = -3*b, -1 = 2*p + 9. What is the units digit of b?
7
Let l = 134 + -84. What is the units digit of l?
0
Let z(j) = j**2 + 6*j + 1. Let m = 8 + -15. What is the units digit of z(m)?
8
Let c(z) = 37*z**3 + 3*z**2 - 4*z + 2. What is the tens digit of c(1)?
3
Let n = 180 - 122. What is the units digit of n?
8
Let h be 2/(0 + 2)*-3. Let k be 3/h*2*1. What is the units digit of k/4 + (-30)/(-4)?
7
Suppose 0 = -3*x - 0*x + 39. Suppose f - x - 3 = 0. What is the units digit of f?
6
Suppose 0 = 3*l - 15, -2*o + 3*l = l - 82. What is the tens digit of o?
4
Suppose -g + 4 = 3*g, -3*c + 70 = -2*g. What is the units digit of c?
4
Let l = -92 - -10. Let s = -58 - l. Suppose -3*o + 2*r + s = 0, -o = 2*o - r - 21. What is the units digit of o?
6
Suppose -4*g + 14 = -3*g. Let u = 17 - 15. Suppose u*v = -0*v + g. What is the units digit of v?
7
Let z = -22 + 9. Let l = -6 - z. What is the units digit of l?
7
Suppose 4*l = 5*l + 4. Let q(d) = -4*d - 10. What is the units digit of q(l)?
6
Suppose -n + 220 = n. What is the units digit of n?
0
Suppose 0 = -4*a + 2*f - 4 + 50, -3*f + 61 = 4*a. What is the tens digit of a?
1
Suppose -10 = -2*u + 2. What is the units digit of u?
6
Suppose -5*d = 4*r - 3*r - 90, -5*r + 370 = 5*d. Let a = r + -45. What is the units digit of a?
5
Suppose 5*l = 2*l + 30. Let s = l - 4. What is the units digit of s?
6
Let v = 561 + -243. What is the units digit of v?
8
Let p be (-30)/3*6/(-4). Let i = 27 - p. Let t = i + -5. What is the units digit of t?
7
Let y = 181 + -98. What is the units digit of y?
3
Let m(z) = -3*z**3 + z**2 + 2*z + 1. Let v be m(-1). Suppose -v*r + 3*f + 0*f + 12 = 0, -4*f = -r - 8. What is the tens digit of (-158)/(-14) - r/28?
1
Let p = 29 - 7. Let b = p + -8. What is the units digit of b?
4
Let w(l) = -3*l - 4. Suppose p + 7 = 5*j, -2*p + j = 5 + 9. What is the tens digit of w(p)?
1
Let q(v) be the first derivative of -v**3/3 + 5*v**2/2 + 6*v + 4. Let z be q(6). What is the units digit of 12 - (1 + z - -2)?
9
Suppose 2*c - 9 = 51. What is the units digit of c?
0
Suppose -48 = -6*l + 2*l. Let y be l/((-5)/(-2) + -2). Suppose -4*d + y = -0*d. What is the units digit of d?
6
Suppose 0 = 4*v - l - 145, -2*v + 5*l + 0*l = -59. Let f = -24 + v. Let k = f - 7. What is the units digit of k?
6
Let l be -2*(1 + (-14)/4). Suppose 3*a = 4*a - 2. Suppose a*v = l*v - 9. What is the units digit of v?
3
Let j = -8 + 9. Let v = 2 - j. Suppose -2*y + 9 = -v. What is the units digit of y?
5
Let m(x) = -x**3 + 2*x**2 - x. Let d be m(3). Let u = -10 - d. What is the units digit of u?
2
Let c(q) = q**2 + 6*q - 8. Let f be c(-7). Let t = f - -7. What is the units digit of t?
6
Let q(w) = 39*w - 35. What is the tens digit of q(5)?
6
Let d(o) = o**3 + 6*o**2 - 8*o - 8. Let u be d(-7). What is the units digit of -6*(u - 0) - -2?
8
Let a(w) be the second derivative of -w**5/20 - 5*w**4/12 - w**3/3 - 3*w**2/2 - 2*w. Let j be a(-3). What is the units digit of -1 - j - (2 + 0)?
2
Suppose -u = 3*u - 372. Let c be u/2*4/6. Suppose -9 = 3*v, -5*r + 0 = 3*v - c. What is the units digit of r?
8
Let q(t) be the third derivative of t**5/60 + t**4/12 - 2*t**2. Let i be q(-2). Suppose i = -4*m + 22 + 2. What is the units digit of m?
6
Let h be 28*(-2)/(8/(-10)). Suppose m + h = 6*m. What is the tens digit of m?
1
Let o be (-18)/24 + 198/8. Suppose -4*n + o = 4*y, 4*n - 10 = -3*y + 13. Suppose 5*u + 4*x = 31, x - y = u - 9. What is the units digit of u?
7
What is the units digit of (-3014)/(-10) + (-28)/70?
1
Let o be (-6)/(-15) + 13/5. Suppose -o*s = -s - 6, 4*s - 19 = -d. What is the units digit of d?
7
Suppose 5*w = -2*r + 30, -5*r = 4*w - 2*r - 31. Suppose 5*a - 4 | {
"pile_set_name": "DM Mathematics"
} |
earest integer?
2436
What is 170433 to the power of 1/3, to the nearest integer?
55
What is the square root of 558970 to the nearest integer?
748
What is 5009916 to the power of 1/9, to the nearest integer?
6
What is the third root of 14861080 to the nearest integer?
246
What is the cube root of 318021 to the nearest integer?
68
What is 6277523 to the power of 1/8, to the nearest integer?
7
What is 69727 to the power of 1/5, to the nearest integer?
9
What is the tenth root of 1448902 to the nearest integer?
4
What is the third root of 1203881 to the nearest integer?
106
What is 10201302 to the power of 1/3, to the nearest integer?
217
What is the square root of 251156 to the nearest integer?
501
What is 3708973 to the power of 1/4, to the nearest integer?
44
What is the square root of 15571529 to the nearest integer?
3946
What is the third root of 13235691 to the nearest integer?
237
What is the square root of 1590767 to the nearest integer?
1261
What is the fifth root of 4303031 to the nearest integer?
21
What is the tenth root of 5601210 to the nearest integer?
5
What is 1103417 to the power of 1/8, to the nearest integer?
6
What is 986019 to the power of 1/4, to the nearest integer?
32
What is the square root of 176445 to the nearest integer?
420
What is the eighth root of 4384370 to the nearest integer?
7
What is the fourth root of 3273901 to the nearest integer?
43
What is the fifth root of 86605 to the nearest integer?
10
What is the square root of 1169041 to the nearest integer?
1081
What is 1016376 to the power of 1/2, to the nearest integer?
1008
What is 49814 to the power of 1/9, to the nearest integer?
3
What is the sixth root of 1306876 to the nearest integer?
10
What is 6921626 to the power of 1/2, to the nearest integer?
2631
What is the third root of 2280154 to the nearest integer?
132
What is 4298298 to the power of 1/3, to the nearest integer?
163
What is the third root of 5589873 to the nearest integer?
177
What is 4671246 to the power of 1/2, to the nearest integer?
2161
What is the fifth root of 467451 to the nearest integer?
14
What is 188914 to the power of 1/3, to the nearest integer?
57
What is the eighth root of 3863013 to the nearest integer?
7
What is the third root of 9961721 to the nearest integer?
215
What is the cube root of 35245567 to the nearest integer?
328
What is 309727 to the power of 1/3, to the nearest integer?
68
What is 736104 to the power of 1/2, to the nearest integer?
858
What is the third root of 8861507 to the nearest integer?
207
What is 156175 to the power of 1/2, to the nearest integer?
395
What is the square root of 797973 to the nearest integer?
893
What is 329915 to the power of 1/2, to the nearest integer?
574
What is the square root of 314871 to the nearest integer?
561
What is 154636 to the power of 1/4, to the nearest integer?
20
What is the square root of 6011406 to the nearest integer?
2452
What is 2272045 to the power of 1/3, to the nearest integer?
131
What is the square root of 1247816 to the nearest integer?
1117
What is 277067 to the power of 1/2, to the nearest integer?
526
What is 446737 to the power of 1/9, to the nearest integer?
4
What is the square root of 2129714 to the nearest integer?
1459
What is the seventh root of 86581 to the nearest integer?
5
What is the square root of 2497447 to the nearest integer?
1580
What is the third root of 1351963 to the nearest integer?
111
What is 3592920 to the power of 1/3, to the nearest integer?
153
What is the third root of 884328 to the nearest integer?
96
What is the fifth root of 5008267 to the nearest integer?
22
What is the eighth root of 2476015 to the nearest integer?
6
What is 204063 to the power of 1/8, to the nearest integer?
5
What is the third root of 1985229 to the nearest integer?
126
What is the square root of 457642 to the nearest integer?
676
What is the eighth root of 75625 to the nearest integer?
4
What is 2373232 to the power of 1/2, to the nearest integer?
1541
What is the cube root of 232588 to the nearest integer?
61
What is 257381 to the power of 1/3, to the nearest integer?
64
What is 210409 to the power of 1/5, to the nearest integer?
12
What is 78592 to the power of 1/6, to the nearest integer?
7
What is the seventh root of 31089933 to the nearest integer?
12
What is 96591 to the power of 1/4, to the nearest integer?
18
What is 295199 to the power of 1/2, to the nearest integer?
543
What is the tenth root of 440981 to the nearest integer?
4
What is 1487792 to the power of 1/2, to the nearest integer?
1220
What is the seventh root of 32822 to the nearest integer?
4
What is the square root of 5061709 to the nearest integer?
2250
What is the sixth root of 785550 to the nearest integer?
10
What is 1631052 to the power of 1/4, to the nearest integer?
36
What is the sixth root of 249880 to the nearest integer?
8
What is the cube root of 229989 to the nearest integer?
61
What is the cube root of 556970 to the nearest integer?
82
What is the square root of 334400 to the nearest integer?
578
What is 6838207 to the power of 1/2, to the nearest integer?
2615
What is the third root of 8679963 to the nearest integer?
206
What is 3436938 to the power of 1/9, to the nearest integer?
5
What is the square root of 181691 to the nearest integer?
426
What is the third root of 4159224 to the nearest integer?
161
What is the square root of 3376390 to the nearest integer?
1837
What is 498134 to the power of 1/6, to the nearest integer?
9
What is the square root of 2586016 to the nearest integer?
1608
What is 273884 to the power of 1/3, to the nearest integer?
65
What is 198800 to the power of 1/9, to the nearest integer?
4
What is the square root of 14016299 to the nearest integer?
3744
What is the square root of 180561 to the nearest integer?
425
What is the fifth root of 11106887 to the nearest integer?
26
What is the eighth root of 8088869 to the nearest integer?
7
What is 2730742 to the power of 1/9, to the nearest integer?
5
What is the cube root of 563986 to the nearest integer?
83
What is the square root of 40305 to the nearest integer?
201
What is the square root of 736631 to the nearest integer?
858
What is the cube root of 807808 to the nearest integer?
93
What is 3612970 to the power of 1/9, to the nearest integer?
5
What is 760315 to the power of 1/3, to the nearest integer?
91
What is the sixth root of 251518 to the nearest integer?
8
What is the cube root of 1351390 to the nearest integer?
111
What is the cube root of 251234 to the nearest integer?
63
What is 242451 to the power of 1/3, to the nearest integer?
62
What is the fourth root of 317463 to the nearest integer?
24
What is 348174 to the power of 1/2, to the nearest integer?
590
What is 420375 to the power of 1/3, to the nearest integer?
75
What is 558352 to the power of 1/9, to the nearest integer?
4
What is the fourth root of 144366 to the nearest integer?
19
What is the sixth root of 3243028 to the nearest integer?
12
What is 2573586 to the power of 1/3, to the nearest integer?
137
What is the fourth root of 84270 to the nearest integer?
17
What is the square root of 1186750 to the nearest integer?
1089
What is the square root of 222326 to the nearest integer?
472
What is 15074990 to the power of 1/8, to the nearest integer?
8
What is 7225726 to the power of 1/5, to the nearest integer?
24
What is 4794672 to the power of 1/2, to the nearest integer?
2190
What is 2525720 to the power of 1/2, to the nearest integer?
1589
What is the third root of 2833685 to the nearest integer?
142
What is 9404569 to the power of 1/8, to the nearest integer?
7
What is 80810 to the power of 1/5, to the nearest integer?
10
What is the square root of 32529133 to the nearest integer?
5703
What is the third root of 5155386 to the nearest integer?
173
What is 510036 to the power of 1/8, to the nearest integer?
5
What is the third root of 203715 to the nearest integer?
59
What is 305598 to the power of 1/2, to the nearest integer?
553
What is the square root of 390963 to the nearest integer?
625
What is 840494 to the power of 1/2, to the nearest integer?
917
What is the tenth root of 19078109 to the nearest integer?
5
What is 24797 to the power of 1/3, to the nearest integer?
2 | {
"pile_set_name": "DM Mathematics"
} |
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