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e -1 divided by 23615881.
-1/23615881
What is 9 divided by -5595593?
-9/5595593
What is -74605 divided by 2376?
-74605/2376
Calculate 66288750 divided by -15.
-4419250
What is -187666518 divided by 31277753?
-6
-11087136 divided by 40464
-274
What is 3 divided by -116840075?
-3/116840075
Calculate 28942 divided by -8.
-14471/4
Calculate 12178 divided by -2550.
-6089/1275
Calculate -1171965660 divided by -19532761.
60
What is 1215027 divided by -9?
-135003
-176635531 divided by -1
176635531
Divide -275268326 by -2.
137634163
Calculate -65686764 divided by 57772.
-1137
Calculate 36142500 divided by 228750.
158
What is 9728 divided by -44775?
-9728/44775
What is -1432600 divided by -46?
716300/23
-98541 divided by -387
10949/43
770088 divided by -130
-385044/65
Divide -15855010 by 142.
-111655
Divide -59975 by 175.
-2399/7
What is 1232 divided by -9227?
-1232/9227
What is -34460720 divided by 116816?
-295
Divide 198 by 2297.
198/2297
What is -4 divided by 49224998?
-2/24612499
What is -10021184 divided by -4?
2505296
Divide -694305 by 4995.
-139
Divide -10026657 by -133.
10026657/133
What is -52 divided by -3389369?
52/3389369
What is 16291894 divided by 1?
16291894
Divide 859048 by -54.
-429524/27
392131476 divided by -294393
-1332
Calculate -40023907 divided by 7321.
-5467
What is -99965292 divided by 98?
-1020054
What is 2718 divided by 3767?
2718/3767
1783256 divided by -364
-445814/91
Calculate -2580 divided by -8170.
6/19
Divide -62965 by -12593.
5
-159508719 divided by -3
53169573
Calculate -1266412707 divided by 3.
-422137569
Calculate 474907100 divided by 2050.
231662
Calculate -1 divided by 18367361.
-1/18367361
2382923 divided by 19
125417
0 divided by 5157218
0
Calculate 9098025 divided by 15.
606535
Calculate 125264022 divided by 13.
9635694
Calculate 6 divided by 1410355.
6/1410355
-4610880 divided by 576
-8005
Divide -53171958 by 49.
-1085142
-1775283 divided by 17
-1775283/17
774430 divided by -215
-3602
Divide -9648496 by -1144.
8434
Calculate 462 divided by -84476.
-33/6034
Calculate -86167206 divided by -18.
4787067
Divide -108 by 482529.
-36/160843
Divide 162021855 by -32404371.
-5
-113160580 divided by 26
-4352330
57564756 divided by -972
-59223
-18912767 divided by 212503
-89
67121775 divided by -2684871
-25
What is -139422 divided by -103?
139422/103
Calculate 756 divided by -184328.
-189/46082
2644180 divided by -1717
-1540
Divide -514064656 by 14878.
-34552
What is 26562164 divided by -4?
-6640541
What is 5 divided by 1858283?
5/1858283
48 divided by 818018
24/409009
What is 151136 divided by -1?
-151136
What is -14416 divided by -510?
424/15
-26260480 divided by 14720
-1784
Calculate -11751513 divided by 273291.
-43
Divide -3823538 by 3638.
-1051
Calculate -2207983 divided by 25.
-2207983/25
Calculate 3769 divided by 6921.
3769/6921
What is 950205 divided by -190041?
-5
What is 17324 divided by 322?
8662/161
What is 7078049 divided by -83?
-7078049/83
Divide -128911512 by -15992.
8061
-4756940 divided by -4115
1156
Divide 21112995 by -1407533.
-15
What is 50089226 divided by -22?
-2276783
Divide 1033236 by -1058.
-516618/529
-39649066 divided by 34
-1166149
Calculate -4 divided by 3838101.
-4/3838101
What is -870 divided by 219463?
-870/219463
What is -80820 divided by 22?
-40410/11
Calculate -378 divided by -179904.
63/29984
-86183376 divided by 6
-14363896
Calculate -20696 divided by -3738.
10348/1869
Divide -1040 by -229490.
104/22949
25892748 divided by -6
-4315458
What is -154430 divided by 87?
-154430/87
Divide 39191355 by 45.
870919
Divide -921621 by -3.
307207
Divide -96967158 by 96967158.
-1
-1474458584 divided by 368614646
-4
0 divided by 29394562
0
-10 divided by 6403504
-5/3201752
What is -90850096 divided by 12464?
-7289
Divide -454 by -166613.
454/166613
53 divided by -385220
-53/385220
What is -62405020 divided by 31202510?
-2
What is -444232230 divided by -6410?
69303
Divide 41095 by -560.
-8219/112
Divide 730 by 96.
365/48
Divide 2357208 by -252.
-9354
Calculate 916295 divided by 77.
916295/77
-18 divided by -11099520
1/616640
What is -494085 divided by -15?
32939
Calculate -129673838 divided by 7.
-18524834
Divide -291905276 by -5.
291905276/5
Divide 6319720 by 1.
6319720
690070 divided by 5
138014
Divide 11324316 by -5662158.
-2
Divide -8140182 by -3.
2713394
Divide 6 by 690379.
6/690379
Divide 182737 by 9.
182737/9
Calculate -7843983 divided by -199.
39417
1905956 divided by 3
1905956/3
Calculate -1529 divided by -843.
1529/843
Divide 15730827 by -161.
-97707
What is 2684123 divided by -30?
-2684123/30
Calculate -28187355 divided by -805353.
35
Divide -23073120 by -5886.
3920
Calculate 32139582 divided by 3.
10713194
Calculate -492148692 divided by 1036.
-475047
-70969299 divided by 23656433
-3
Divide 72143850 by 14428770.
5
76407280 divided by 16
4775455
What is -141309440 divided by -4156160?
34
What is 9199422 divided by -9?
-1022158
What is 346361436 divided by 1698?
203982
-18 divided by 22777
-18/22777
-328 divided by 15408
-41/1926
What is 1265851214 divided by -4?
-632925607/2
Divide 554 by 18407.
554/18407
Divide 132 by 746795.
132/746795
Calculate 28821 divided by -379.
-28821/379
What is 74969 divided by 468?
74969/468
Divide -356 by -127419.
356/127419
Calculate 220556100 divided by 30.
7351870
What is -10769220 divided by -56980?
189
Calculate -70094013 divided by -56391.
1243
Calculate 1 divided by -32088698.
-1/32088698
What is 15540147 divided by 3?
5180049
Calculate 90998145 divided by -3.
-30332715
What is -111585904 divided by -4?
27896476
Divide -1928449 by 1928449.
-1
Calculate 264025 divided by 1475.
179
Divide 176 by 4381.
176/4381
Calculate 226397296 divided by 1751.
129296
-105645 divided by 73
-105645/73
4 divided by 987040
1/246760
What is 103139750 divided by -20627950?
-5
What is 10646496 divided by -1?
-10646496
What is -68570883 divided by 9351?
-7333
Calculate 7 divided by -22354550.
-7/22354550
What is -20229285 divided by -20229285?
1
Divide 30766345 by 24055.
1279
Divide -2 by -5708402.
1/2854201
6068180 divided by -223
-6068180/223
Calculate -1931293 divided by 4.
-1931293/4
7181936 divided by 7181936
1
What is -142410992 divided by -5744?
24793
Calculate -21482525 divided by 2209.
-9725
99371274 divided by 491937
202
Divide -366630 by -505.
726
-12437343 divided by -3
4145781
Divide 542304 by -5.
-542304/5
318759428 divided by -3
-318759428/3
Calculate 6305050 divided by 47.
134150
What is 27990540 divided by -4140?
-6761
Calculate -18406252 divided by 25423.
-724
Calculate 14986567 divided by -6.
-14986567/6
Calculate -20269770 divided by -258.
78565
-4645392 divided by -1548464
3
What is 8221800 divided by -710?
-11580
3016 divided by 748
754/187
Calculate 3859 divided by 338.
3859/338
-262430204 divided by -4978
52718
Divide 564 by -58432.
-141/14608
Calculate -8 divided by 19572439.
-8/19572439
Calculate 1095366872 divided by -24092.
-45466
What is -30053337 divided by 2?
-30053337/2
What is 1302130500 divided by -7950?
-163790
Divide -77 by 4362117.
-77/4362117
-1330101 divided by 492
-443367/164
Divide -1732325 by 346465.
-5
3144814 divided by -1
-3144814
29926297 divided by 5
29926297/5
What is 60016840 divided by 15004210?
4
-894422671 divided by -6
894422671/6
What is 17875 divided by -1922?
-17875/1922
Divide 0 by 935494.
0
-10010796 divided by 276
-36271
Calculate 18 divided by -1144909.
-18/1144909
-12105875 divided by -2421175
5
What is 19295610 divided by -3?
-6431870
What is 18181167 divided by 2?
18181167/2
-5633 divided by 96159
-5633/96159
Divide -429595840 by 8.
-53699480
Divide 75254765 by -15050953.
-5
Divide -10690980 by 2138196.
-5
Calculate 89 divided by 8292393.
89/8292393
-63432081 divided by 7048009
-9
Divide -481365532 by -4.
120341383
Divide 5 by 2436559.
5/2436559
-24843 divided by 652
-24843/652
-4364 divided by 11070
-2182/5535
Calculate 83658532 divided by -142762.
-586
1333615 divided by 85
266723/17
What is 21 divided by 9802924?
21/9802924
Calculate 134381430 divided by 8958762.
15
Divide 17 by 1097420.
17/1097420
What is -119019205 divided by -18353?
6485
Divide -204 by 4043.
-204/4043
What is -679976142 divided by 3?
-226658714
Divide 8 by 14440497.
8/14440497
What is -68520606 divided by -22840202?
3
What is 2748 divided | {
"pile_set_name": "DM Mathematics"
} |
- 1. Is k(m) a prime number?
True
Let b(f) = 8*f + 2*f**3 - 7*f**2 + 0*f**2 - 1 - 3*f**3. Let i be 79/(-9) - 6/27. Is b(i) composite?
False
Let f(v) = 4*v**2 + 8*v + 7. Let p be f(-17). Let w = -41 - -1561. Let t = w - p. Is t a prime number?
False
Let o(u) = u**3 + 10*u**2 + u + 12. Let x be -7 + -3*(4 - 3). Let q be o(x). Is 0 + 2/q - -76 a composite number?
True
Is -11 + 15 - 8 - (-31090 + -1) prime?
False
Suppose -78536 = -4*m - 20*u + 16*u, 5*m - 5*u - 98140 = 0. Is m prime?
False
Suppose 0 = -45*r + 1553 - 383. Is r composite?
True
Is ((-36460)/80)/(2/(-8)) composite?
False
Let j = -18 + 20. Suppose 11 = 3*s - j*g - 3, 3*s = -4*g + 26. Is (185/10)/(3/s) a composite number?
False
Suppose 4*s - 5*h = -s + 10, -3*s + 11 = 2*h. Let y(j) = 16*j**2 - 4*j - 1. Let i be y(s). Suppose 26 - i = -5*o. Is o a composite number?
True
Let x be (-4)/(-2 + -6)*(1 + 25). Let u(p) = p**3 - 11*p**2 - p - 26. Is u(x) a prime number?
False
Let s = -29 - -30. Let v(t) = 510*t**3 + t**2 + t - 1. Is v(s) a prime number?
False
Let w be (1080/42)/(1/14). Is w - -2*3/(-6) prime?
True
Suppose 5*i = -z - z - 9, 0 = 2*i - 5*z - 8. Is i - 0 - 472/(-8) a composite number?
True
Let j be (-3)/(-9) - 16/(-24). Is ((-538)/4)/j*-2 a prime number?
True
Let r = -237438 - -366511. Is r a composite number?
True
Let k(q) be the second derivative of q**4/3 + 2*q**3/3 + 7*q**2/2 - 5*q. Let p be (-201)/(-39) + (-4)/26. Is k(p) prime?
True
Let v(m) be the first derivative of 5*m**4/4 - 5*m**3/3 - 9*m**2/2 - 6*m + 30. Is v(7) prime?
False
Let n(f) = 23*f**2 + 7*f + 7. Let k(r) = r**2 - 8*r - 3. Let u be k(9). Is n(u) prime?
True
Let j(a) = 30*a + 7. Suppose -25 = -d - 4*d. Suppose 3 = 2*k - d. Is j(k) a prime number?
True
Suppose 4*o - 2*d - 18 = 0, 3 = -o - 4*d + 3*d. Suppose 3*m + 7 = -c, -6*c = 5*m - 2*c + 21. Is (o + -1)/(m/(-39)) prime?
False
Let f(g) = -2*g**2 - 2*g - 15. Let j(x) = -x**2 - 1. Let n(s) = f(s) - 3*j(s). Is n(-7) a prime number?
False
Let t = -64 - -68. Is t*(-3)/(-42) + (-551)/(-7) prime?
True
Let l(k) = 30*k**2 + 13*k + 12. Is l(13) a composite number?
True
Let g = 112 - -213. Suppose -3*q + q + 3*r = -130, 5*r = 5*q - g. Is q a prime number?
False
Let x(n) be the second derivative of 1/12*n**4 + 0 + 2/3*n**3 + 1/2*n**2 + 13/20*n**5 - 5*n. Is x(3) composite?
False
Let i = 123 + -115. Suppose i*b = 3*b + 2495. Is b composite?
False
Suppose -102*z = -127*z + 256075. Is z composite?
False
Let l(g) = 2*g**3 - 20*g**2 - g + 13. Let a be l(10). Suppose a*v - 2033 - 3856 = 0. Is v composite?
True
Let u(h) = 13*h**2 + 3*h - 5. Suppose 4*l - 6 = -2. Let q = l - -4. Is u(q) composite?
True
Let u(n) = 19*n + 27 - 16*n + 13*n**2 - 8. Is u(6) composite?
True
Let c(g) = 3*g**3 - 7*g**2 - 2*g + 5. Let l be 4*(3 + (-9)/6). Is c(l) a composite number?
False
Suppose 8 + 0 = 4*q. Suppose 0 = 4*p - q*p + 5*s - 1555, 5*s = 5*p - 3940. Is p a prime number?
False
Suppose -2*t + 4*z + 3782 = 0, 5*z - 2*z = 15. Is t composite?
False
Let q(n) = 3*n - 15. Let b be q(6). Suppose 4*p = -b*h + 705, 0 = 5*h - 5*p + p - 1207. Is h a prime number?
True
Let v(g) = 44*g**2 - 3*g - 3. Let b be v(-2). Let f = -88 + b. Is f prime?
False
Suppose 5*u - 4*u - 3 = 0. Let q be u + (8/(-2) - -1869). Suppose q = 6*m - 2*m. Is m prime?
True
Let r(g) = -2*g + 24. Let j be r(12). Suppose j*s + 2*s = 12. Is (74/3)/(4/s) a composite number?
False
Let t(b) = -46*b**3 + 3*b**2 + 47*b + 31. Is t(-8) a composite number?
False
Let w(m) be the first derivative of 4*m**3/3 + 4*m**2 - 12*m - 2. Let b be w(9). Let h = b + -181. Is h a composite number?
True
Let p(b) = 49147*b**3 - 3*b**2 + 6*b - 5. Is p(1) composite?
True
Suppose -4118 = -19*s + 12089. Is s a prime number?
True
Let o(l) = -624*l**3 + 7*l**2 + 13*l + 11. Is o(-5) a composite number?
False
Suppose 0 = d + 2*h - 8, 3*d - h = -6*h + 19. Is (-9619)/(-9) - d/9 a composite number?
False
Let i = -230 - -400. Suppose -n + 23 = -i. Suppose -2*q + n = -3*f + 6*f, 3*f = 2*q - 163. Is q a composite number?
False
Suppose 0 = 18*k - 19818 - 68436. Is k a prime number?
True
Let q(j) be the third derivative of 79*j**6/24 - j**4/8 + j**3/2 - 18*j**2. Is q(1) prime?
False
Suppose 5*l = -q + 1 - 3, q - 12 = 2*l. Suppose -5*s + q*s = 2184. Suppose 30 = 2*o - s. Is o composite?
False
Let y = 18 - 15. Suppose 0 = 3*h - 3*m - 777 - 78, 5*h - y*m = 1417. Suppose 2*l - 197 = h. Is l a prime number?
True
Suppose 4*s - 2*w - 34 = -4*w, 4*s = -4*w + 24. Suppose s*j - 16*j + 3365 = 0. Is j a prime number?
True
Suppose 0 = 3*j - 3, 0 = -2*p - j - 945 + 3380. Is p a prime number?
True
Let b = -5 + -5. Let d = b + 14. Suppose -d*a + 311 - 99 = 0. Is a prime?
True
Let h = -12501 - -25939. Is h prime?
False
Let u be (748/6)/(5/(-3) + 2). Suppose -b + 207 = -2*b. Let t = b + u. Is t prime?
True
Let c(s) = 13*s**2 - 120*s - 2. Is c(-33) a prime number?
False
Let d(u) = -58*u**3 + 11*u**2 - 10*u - 43. Is d(-8) a prime number?
False
Suppose 7*k - 9*k = -758. Is k a prime number?
True
Let s be 2/(-13) - (-168392)/(-403). Let a = s + 737. Is a a composite number?
True
Is ((-4)/(-8) - 2)/(21/(-2282)) composite?
False
Suppose 6*k - k = 25. Suppose j + k*w - 1644 = 0, w = -2*j - 3*w + 3282. Is j composite?
True
Let t(c) = 9*c**3 - 6*c**2 + 3*c - 7. Suppose o - 10 + 5 = 0. Is t(o) a composite number?
False
Let x(n) = 1 + 3 + n - 3 + 1. Let l be x(12). Let c = 37 - l. Is c composite?
False
Let l = -38 - -36. Let c(f) = -294*f - 1. Is c(l) a composite number?
False
Let h(n) be the first derivative of 10/3*n**3 + 13*n + 1/2*n**2 + 1. Is h(6) a composite number?
False
Let m = 2350 - -661. Is m composite?
False
Suppose -3*p - 2355 = -2*k + 5*k, -3*k - 2395 = -5*p. Let o = -381 - k. Is o a composite number?
False
Let x = -28 - -33. Suppose 5*z - y = 1685, 1331 = 5*z + x*y - 354. Is z prime?
True
Let q(v) = 74*v**2 + 10*v - 30. Let b be q(10). Suppose -8530 = -5*m - 5*z, -z = 4*m - b + 637. Is m a composite number?
False
Suppose 3*c + 40 = -c. Let b(u) = -u**3 - 10*u**2 - 2*u - 1. Is b(c) prime?
True
Let f be 14/6 - 6/(-9). Suppose 4*c = 678 + 2982. Suppose -f*w = 2*w - c. Is w composite?
True
Let k(i) = 12*i - 74. Let g be k(6). Is (4/g + 593)*19/19 a composite number?
True
Let g = -12 + 14. Suppose 0 = 4*h + g*x - 5*x + 517, 5*h = -2*x - 629. Let q = 185 + h. Is q prime?
False
Suppose 21*l = -3*y + 16*l + 409, y = 4*l + 159. Is y composite?
True
Let w = 584 + -306. Let y = w - -263. Is y a composite number?
False
Let m be 1 + 1/(-2)*-2. Suppose 0 = -5*z - m*x - 3*x + 5875, 0 = 3*z + x - 3517. Is z composite?
False
Let q be (-5)/15 - 172/6. Let p = -27 - q. Suppose 257 = p*s - 161. Is s composite?
True
Let u be (8/(-6))/((-30)/45). Suppose -4*l = d - 1101, d - u*l = -4*l + 1099. Is d prime?
True
Let l be (2/(-2) - 2)*1. Suppose 3*t + m + 2*m - 270 = 0, -t + 2*m + 90 = 0. Let s = l + t. Is s composite?
True
Suppose 2*f = 11*l - 13*l + 34588, 69155 = 4*l - 3*f. Is l prime?
True
Let j = -2256 + 3835. Is j a composite number?
False
Suppose -22*h = 27*h - 923111. Is h composite?
False
Suppose 0 = 103*j - 64*j - 1275573. Is j composite?
False
Let k be 3 + -2 + 0 - -7. Suppose 422 = 10*q - k*q. Is q a prime number?
True
Is 286557/391 - (-2)/17 a prime number?
True
Suppose o - 7987 = -2*x, -34*o + 32*o = -10. Is x a prime number?
False
Let a(k) = 6*k**2 - 4*k + 1399. Is a(0) a composite number?
False
Let z(q) = q**3 - 12*q**2 - 7*q - 35. Is z(16) a composite number?
False
Let i(c) = -397*c + 8. Let l be i(-2). Let o = l - -207. Is o a composite number?
False
Let n(v) = -512*v + 19. Let p(g) = g - 1. Let j(o) = -n(o) + 6*p(o). Is j(9) composite?
False
Is ((-10 - -5) + 7 - -34311)/1 a prime number?
True
Let g(n) = -n**3 - 18*n**2 - 17*n + 3. Let h = -23 + 25. Suppose f - 17 = h*f. Is g(f) composite?
False
Let d be (0 - (-6)/8)*(40 - 44). Is -2 - (d/(-1) - 4*84) a composite number?
False
Is 1806246/52 - 2/4 a composite number?
True
Let z(m) be the third derivative of -m**6/120 + m**5/15 + m**4/4 + 5*m**3/6 - 2*m**2. Suppose 4*r - 8 = 6*r. Is z(r) prime?
True
Let g = -251 + 519. Suppose -2*h = -7*h, -4*r = -5*h - g. Is r a prime number?
True
Let v = -84 + 84. Suppose j + 172 - 1365 = v. Is j composite?
False
Let k(a) = -a**2. Let t be k(0). Let y be (-1 - 3/(-2))*t. Suppose y = 3*z - 7*z + 740. Is z a composi | {
"pile_set_name": "DM Mathematics"
} |
the closest to u? (a) o (b) 3 (c) -4/5
b
Let w = -214/3 + 72. Let v = 4.28 + -0.08. Let z = v + -4. What is the nearest to z in -5, w, -3?
w
Let z(h) = h**2 + 2*h + 3. Let x be z(-2). Let b be 3/5*(-1)/x. Let m be 1/(-3)*(-9)/1. What is the nearest to 0.1 in 0.1, b, m?
0.1
Let j = -3.5 - -3. Let v = -1.9 - 0.1. Let i = -4534/7 + 648. Which is the nearest to i? (a) v (b) j (c) -1
b
Let l = -0.3 + 0.3. Which is the nearest to 1/5? (a) l (b) 4 (c) -4
a
Let m = 3.3 + -0.3. Let x = -0.1 + -0.3. Let a = -2.97 + -0.03. What is the closest to -1/4 in x, a, m?
x
Let p = -0.2 - -0.1. Let y = -313/511 + 3/73. Which is the nearest to p? (a) 3 (b) -2/13 (c) y
b
Let v = -27 - -23. Which is the nearest to 2? (a) 2 (b) v (c) 1/4
a
Let s(w) = -w**3 + 6*w**2 + 8*w - 5. Let i be s(7). Let v = -108 - -112. Let n = -7.3 + 7. What is the nearest to 0 in i, n, v?
n
Suppose 0*u + 10 = -5*u. Let j = -11 - -8. Let p be ((-1)/j)/((-4)/6). Which is the nearest to 2/7? (a) p (b) u (c) 0
c
Let n = -3/8 - 7/24. What is the closest to -4 in 1, -0.5, n?
n
Let h = 12 - 12.08. Let k = h + 0.08. Which is the closest to -0.1? (a) -5 (b) 3 (c) k
c
Let v be (-3)/(-21)*-2*1. Let h be (-3)/(-17)*2/(-3). Which is the closest to -1? (a) h (b) -4/5 (c) v
b
Let x = 5 + -2. Which is the closest to -1? (a) x (b) -2 (c) -1
c
Suppose -8*r = -7*r + 2. Let j = 12353/285 + -1/95. Let n = 43 - j. What is the closest to n in r, 0, -3?
0
Let m = -218 - -2400/11. What is the nearest to 1 in -0.2, 5/4, m?
5/4
Let o = 69/4 + -361/20. Suppose -h = -4*h - 3. Which is the closest to 0.1? (a) -0.5 (b) o (c) h
a
Let d = 0 + -0.1. Let p = 0.16 - 0.36. Let r = d - p. Which is the closest to 1/2? (a) 2/7 (b) r (c) 0
a
Let f be (-65)/285 - (-4)/(-38). Let s(l) = l + 4. Let n be s(-3). Let t = -5 + n. Which is the nearest to f? (a) 0 (b) 1 (c) t
a
Let r be (-1)/1 - 60/(-84). Suppose 2*p - 4*p + 2 = 0. Which is the closest to 0.2? (a) r (b) 5 (c) p
a
Let p = -74 + 70. What is the nearest to -11 in p, -0.4, 0.4?
p
Let x be (2/10)/(18/(-15)). Let p = -43/51 + 3/17. Which is the nearest to -1? (a) p (b) x (c) -0.5
a
Suppose 4*o = 3*d, -d - 3*o + 6 + 7 = 0. Which is the nearest to 0.1? (a) d (b) 0.4 (c) 3
b
Let w = 1 + -1. Let n = 2.9 - -15.1. Let j = 17 - n. What is the nearest to 0.1 in w, 4, j?
w
Let i be (-30 - -26)*2/(-20). Let s = 2.8 + -3. Let g = -0.3 - -1.3. What is the nearest to g in i, 0.5, s?
0.5
Let c = -0.6 - -0.1. Let u be (-145)/450 - 2/(-9). Let j(h) = h**2 + 12*h - 13. Let d be j(-13). What is the nearest to d in c, u, 0?
0
Suppose 9 - 1 = 4*a. What is the closest to 1 in -1/2, -2/21, a?
a
Suppose 5*n + 4 - 12 = 3*v, 4*n = -v + 3. What is the nearest to n in 2/5, 3, 16?
2/5
Let y(h) = 10*h**2 - h. Let p be y(1). Suppose s - p = -3. Let j be (s/(-50))/(7/(-35)). What is the closest to 1 in 1, j, -2/3?
1
Let h = 0 + 5. Let l = 5.4 - h. Let q = 0.1 + l. Which is the nearest to -1/3? (a) -5 (b) -0.4 (c) q
b
Let u = 0.2 + -0.3. Let d = 155 + -151. Which is the closest to u? (a) 9 (b) -0.5 (c) d
b
Let u = -8.8 - -9.1. What is the nearest to 1 in -1/5, u, 3?
u
Let u = -165 - -97. Let o be 2*(-7)/u*2. Let c = 55/51 - o. What is the nearest to 2/5 in c, -2, -0.2?
c
Suppose -3*i + 8*i + 5 = -3*p, -5*p - 21 = 2*i. Let w be (-3 + 8)/(i/(-2)). What is the closest to 1 in -2, w, 2/15?
2/15
Let x = 0.12 - 0.05. What is the closest to -0.1 in x, -2, 3?
x
Let o = -26 - -77/3. What is the nearest to 0 in 5, o, -1/2?
o
Let v = 20 + -21. What is the nearest to v in -4, 0.4, -1/9?
-1/9
Let s = 0.9 + -1. Let w = -191 + 190.8. Which is the closest to s? (a) -0.5 (b) 3/7 (c) w
c
Let q = 80 + -79.8. Which is the closest to 0.2? (a) -4 (b) q (c) 0.3
b
Let r be 18/(-81) + 14/36. What is the closest to 2 in 0.5, r, -3?
0.5
Let s = 2.058 + -0.058. What is the nearest to s in 0.5, 5, -4/5?
0.5
Let t(c) = -c + 9. Let p be t(4). Let i = 9 + -6. Let w be ((-2)/(-3))/((-2)/i). What is the nearest to w in p, 0, -4?
0
Let i = -19/3 - -7. Let j = -4.7 - 0.3. Which is the closest to 2? (a) 4 (b) i (c) j
b
Let m = -17 - -16.1. Let k = -0.9 - m. Which is the nearest to k? (a) -4/3 (b) -3 (c) 4
a
Let h = 0 + 3. Let a = h + -1. What is the closest to -0.1 in -4, a, 1?
1
Let v = 2.02 + -0.02. Let u = 20.993 + 0.007. Let n = 19 - u. What is the closest to -2/9 in v, 1, n?
1
Let j = -0.031 - 4.969. What is the closest to -0.1 in -4, j, 0.4?
0.4
Let t = -5 + 16. Which is the nearest to 0.1? (a) t (b) -1 (c) -5
b
Let r = -1 - -1. What is the closest to -2/3 in 3, r, 4?
r
Let t = 4 - 4.5. Let r = -43 - -45. Which is the nearest to r? (a) t (b) 1/4 (c) 2
c
Let d = -177/910 + -1/182. Let l = 0.5 + -0.2. What is the closest to 3 in d, -2/23, l?
l
Suppose 2*z + 2*z = 0. Let h = z - 5. Which is the closest to 1? (a) -2/9 (b) -3 (c) h
a
Suppose 0 = 5*k + 2 - 27. Let m = k - 23/5. Which is the closest to -1/4? (a) 3/2 (b) m (c) -3/2
b
Let s = 0.11 + -0.61. Let d = -1.2 + 0.2. Which is the nearest to d? (a) s (b) 2 (c) -2/7
a
Let j = -280 - -4198/15. Which is the closest to 0? (a) j (b) -2 (c) 4
a
Let g(a) = -a**3 - 8*a**2 + 8*a - 6. Suppose s = 4*s + o + 25, 3*s + 19 = -4*o. Let k be g(s). What is the closest to 1/2 in k, 2, -0.5?
-0.5
Let f = 0.3 - 0.2. Let p = -3.894 + -0.166. Let n = p - -0.06. What is the closest to f in 5, 0.4, n?
0.4
Let x(f) = -f**3 - 4*f**2 + 4. Let c be x(-4). Let s be (c/(-10))/((-9)/15). What is the closest to 0 in -4, -2/9, s?
-2/9
Suppose 28 - 10 = 3*y. Which is the nearest to y? (a) -5 (b) 2/7 (c) 2
c
Suppose -2*c + 4*c - 6 = 0. Let g = -61/1925 - -1/175. Let x = g - -87/385. What is the nearest to 0 in c, x, 2?
x
Let f = 2 + -3. Let x be (-14 + 0)*(-3 + 44/8). Let k be (f/(-3))/(x/(-21)). Which is the closest to 0.1? (a) 1 (b) -1 (c) k
c
Let s = 8/5 + -98/55. What is the closest to -0.5 in -1, -0.4, s?
-0.4
Let y = -71/3 + 23. What is the nearest to 4 in y, 0, 0.5?
0.5
Let q be -3 + 3 + -17 + 5 + -1. What is the closest to q in 1, 1/8, -4?
-4
Let s = -0.8 + 0.7. Let m = 2.5 + -2. What is the closest to 0 in s, 5, m?
s
Let w = 11 - 10. What is the closest to 2/3 in 0, 5, w?
w
Let w = -42 + 42.2. Which is the closest to w? (a) -2/11 (b) -2/9 (c) -0.01
c
Let n = -3 - -2.9. Let t = -28.4 - -37. Let x = -9 + t. Which is the nearest to n? (a) -3 (b) x (c) -1/2
b
Let f = -5.02 + -0.98. What is the nearest to -1/3 in -0.1, f, -3?
-0.1
Let u = 146 + -146.4. Suppose 5*y + 2 = 7. Which is the nearest to y? (a) -3 (b) u (c) -4
b
Let t = 1 - 0. Let l = t + -1.2. What is the nearest to 1 in 0.5, 2, l?
0.5
Let s be 5/30*-9*(-34)/3. What is the nearest to 2/3 in -1, s, -1/7?
-1/7
Suppose f - 3*l = 8 + 2, -3*f + 4*l = -20. Suppose 3*q + 5*i - i - 9 = 0, f*q = i - 7. Which is the closest to q? (a) -1/5 (b) 4 (c) 3
a
Let u = -3.892 - 0.108. What is the closest to 0 in u, -3/8, -2/11?
-2/11
Let h = 2634/35 - 7373/35. Let g = h + 136. Which is the closest to -0.1? (a) g (b) -0.4 (c) 4
b
Let j = 5.5 + -5. Let r = 0.9 - j. Let g = -0.5 + r. Which is the nearest to 0.1? (a) g (b) -1 (c) -4
a
Let c = -2.91 - 0.09. Let k = c - -1. What is the nearest to -1 in 5, k, -3/5?
-3/5
Let t = 3.932 + 0.108. Let y = t - 0.04. Let w = 5 + 0. Which is the nearest to -0.1? (a) w (b) y (c) 0.3
c
Let v = -18 + 16. Which is the nearest to 0.1? (a) 2 (b) -1/4 (c) v
b
Let h = -14 + 17. What is the closest to h in 4/7, 0.2, -5?
4/7
Let u = 0.312 + 0.188. Let s = -0.1 - 0.1. Let n = 0.3 - 0.5. What is the nearest to s in n, -0.4, u?
n
Let j = 2 + -1. Let t = -2 - -1.9. What is the closest to t in -4, -1, j?
-1
Let w = 0.8 + -0.7. What is the nearest to 0 in w, 4, 5?
w
Let o = 211 - 206.12. Let q = o + 0.12. Which is the closest to 2/7? (a) q (b) -2/5 (c) 1/8
c
Let z = 16 + -97/6. Let p = -0.3 - 0.1. Let d = p - -0.4. Which is the closest to d? (a) 5 (b) 2 (c) z
c
Let w be -2 - -3 - 35/30. What is the closest to -9 in 1, 3, w?
w
Let t = 4 - 3. Let l be (-2)/(-3) + (-1)/t. Let g(h) = h**2 + 7*h - 30. Let v be g(-10). Which is the closest to v? (a) 0.3 (b) l (c) 2/13
c
Let j = 6 - 1. Let l = 0.2 + -1.2. What is the nearest to l in j, -0.3, -2/15?
-0.3
Let a be 6*(28/(-8))/(-7). Let z be 7/20 + 2/8. What is the nearest to -0.1 in -4, a, z?
z
Sup | {
"pile_set_name": "DM Mathematics"
} |
ked without replacement from {p: 2, n: 3, r: 3, v: 2, l: 4, y: 4}?
1/3060
Three letters picked without replacement from {e: 2, r: 2, j: 3, i: 13}. What is prob of sequence jei?
13/1140
What is prob of sequence iil when three letters picked without replacement from iillinnlnnliin?
10/273
Calculate prob of sequence tdtt when four letters picked without replacement from {t: 15, d: 3}.
91/816
What is prob of sequence aaae when four letters picked without replacement from {a: 3, e: 1}?
1/4
Two letters picked without replacement from {f: 3, y: 1, k: 1, a: 1, d: 1}. Give prob of sequence kf.
1/14
Three letters picked without replacement from ifiyxmyyfkifimmify. What is prob of sequence yxf?
1/306
Calculate prob of sequence no when two letters picked without replacement from nnnnnnonnnnnnnnnnnnn.
1/20
Calculate prob of sequence sgxx when four letters picked without replacement from {s: 5, x: 8, w: 1, g: 5}.
175/11628
Four letters picked without replacement from {r: 2, m: 5, i: 2}. Give prob of sequence mmmi.
5/126
Two letters picked without replacement from {a: 1, z: 1, w: 1, l: 1, k: 2, b: 2}. Give prob of sequence kz.
1/28
Calculate prob of sequence xxc when three letters picked without replacement from cccxxxcccccccccxxc.
65/1224
Four letters picked without replacement from {u: 7, r: 4}. Give prob of sequence ruru.
7/110
What is prob of sequence pq when two letters picked without replacement from xtqqplptpxpppltptptp?
9/190
What is prob of sequence uuu when three letters picked without replacement from uuguggggguuguguuuugu?
11/76
Two letters picked without replacement from {q: 1, n: 3, e: 11, i: 5}. Give prob of sequence nn.
3/190
What is prob of sequence bpm when three letters picked without replacement from mbppjpjpjj?
1/180
Two letters picked without replacement from {b: 1, m: 2, j: 1, o: 4}. Give prob of sequence oj.
1/14
Two letters picked without replacement from {e: 6, n: 1, y: 1, s: 9}. What is prob of sequence es?
27/136
Calculate prob of sequence uzz when three letters picked without replacement from nzundwjzu.
1/126
Four letters picked without replacement from fpfffp. What is prob of sequence fppf?
1/15
What is prob of sequence vess when four letters picked without replacement from eecvssevef?
1/315
What is prob of sequence ve when two letters picked without replacement from {e: 2, v: 3}?
3/10
Three letters picked without replacement from {x: 2, w: 4, e: 2}. What is prob of sequence wew?
1/14
What is prob of sequence wqw when three letters picked without replacement from {q: 4, w: 2, u: 10}?
1/420
Calculate prob of sequence hit when three letters picked without replacement from hhhihhhhhhtthht.
11/910
Calculate prob of sequence mhz when three letters picked without replacement from {z: 1, m: 2, h: 1}.
1/12
Two letters picked without replacement from qqqvqqvvvvvq. What is prob of sequence qv?
3/11
Two letters picked without replacement from {k: 1, g: 1, j: 1, n: 1, b: 1}. Give prob of sequence gn.
1/20
Two letters picked without replacement from {d: 1, t: 2, x: 2, k: 1, r: 1, q: 1}. Give prob of sequence qd.
1/56
Calculate prob of sequence fhv when three letters picked without replacement from oiovffioooiffwh.
2/1365
What is prob of sequence uz when two letters picked without replacement from ugmzmnnmnnnuunnnnun?
2/171
What is prob of sequence wkq when three letters picked without replacement from bqkbcwl?
1/210
Four letters picked without replacement from ooopoppoppopopooppop. What is prob of sequence poop?
45/646
Three letters picked without replacement from qqiqqqqqqqijqtq. Give prob of sequence qit.
11/1365
Four letters picked without replacement from {y: 1, d: 6, r: 3, l: 6, o: 1, f: 3}. Give prob of sequence rdly.
3/3230
Calculate prob of sequence zllz when four letters picked without replacement from {l: 2, z: 16}.
1/153
Calculate prob of sequence mo when two letters picked without replacement from {o: 1, f: 8, m: 4}.
1/39
Three letters picked without replacement from {o: 1, k: 2, r: 1, s: 2, m: 1}. What is prob of sequence orm?
1/210
Four letters picked without replacement from {w: 2, e: 5}. Give prob of sequence weee.
1/7
Calculate prob of sequence mm when two letters picked without replacement from {m: 7, l: 2}.
7/12
What is prob of sequence nv when two letters picked without replacement from nvnvmvnnmn?
1/6
What is prob of sequence oooo when four letters picked without replacement from dooooooooooooco?
11/21
Three letters picked without replacement from rzwcobr. What is prob of sequence bzr?
1/105
What is prob of sequence qm when two letters picked without replacement from vqqqqqmqj?
1/12
What is prob of sequence mm when two letters picked without replacement from {j: 2, y: 5, m: 4}?
6/55
Calculate prob of sequence zb when two letters picked without replacement from wbzzbzwzq.
1/9
Two letters picked without replacement from bvb. Give prob of sequence bv.
1/3
Three letters picked without replacement from {e: 1, h: 1, r: 7, j: 2, n: 5, p: 1}. Give prob of sequence rhj.
7/2040
What is prob of sequence ew when two letters picked without replacement from eweeeweewewwewwwwew?
5/19
What is prob of sequence ip when two letters picked without replacement from {i: 1, f: 2, j: 2, p: 2, b: 1}?
1/28
Calculate prob of sequence hh when two letters picked without replacement from {r: 1, e: 1, w: 2, m: 1, h: 2}.
1/21
Calculate prob of sequence tz when two letters picked without replacement from zzzzttztzz.
7/30
Calculate prob of sequence wccw when four letters picked without replacement from cccwccwcccccwwwc.
55/1092
Two letters picked without replacement from slxjjqqqgjgl. What is prob of sequence qs?
1/44
Two letters picked without replacement from {h: 4, y: 1, a: 2, g: 1, x: 2}. What is prob of sequence gx?
1/45
What is prob of sequence ooz when three letters picked without replacement from gozozozzzzo?
4/55
Three letters picked without replacement from mmmmmmmhmemmmmmmmmm. Give prob of sequence meh.
1/342
Four letters picked without replacement from wxooaowomowooowwaoww. What is prob of sequence wwam?
7/9690
What is prob of sequence xl when two letters picked without replacement from {x: 4, a: 2, z: 4, l: 4, r: 3, b: 3}?
4/95
What is prob of sequence arr when three letters picked without replacement from {l: 2, k: 3, p: 3, r: 4, a: 4}?
1/70
Four letters picked without replacement from {q: 1, a: 2, e: 1, j: 1, o: 2, r: 2}. Give prob of sequence qoao.
1/756
Four letters picked without replacement from {a: 2, z: 6}. What is prob of sequence zzaz?
1/7
What is prob of sequence qqqq when four letters picked without replacement from {q: 6, z: 1, h: 5, u: 1, o: 2}?
1/91
Calculate prob of sequence vr when two letters picked without replacement from mmeoerrkmemv.
1/66
What is prob of sequence hh when two letters picked without replacement from hyyhyyyhhyyyyy?
6/91
Calculate prob of sequence wggg when four letters picked without replacement from gggggggwgggg.
1/12
Four letters picked without replacement from gbgggbg. Give prob of sequence bgbg.
1/21
Calculate prob of sequence sqp when three letters picked without replacement from {p: 5, u: 1, s: 2, b: 3, q: 1}.
1/132
Calculate prob of sequence jvvi when four letters picked without replacement from iiijvjjivjj.
1/198
Three letters picked without replacement from {g: 3, u: 13}. Give prob of sequence guu.
39/280
Four letters picked without replacement from {x: 7, d: 4}. Give prob of sequence xxxx.
7/66
Three letters picked without replacement from {u: 4, g: 6, q: 7}. What is prob of sequence uug?
3/170
Calculate prob of sequence www when three letters picked without replacement from {w: 7}.
1
Three letters picked without replacement from vmmvmmoomemeoookkmem. What is prob of sequence eme?
2/285
Calculate prob of sequence dyc when three letters picked without replacement from dcuyxxk.
1/210
Three letters picked without replacement from yooyoyeyoooogy. Give prob of sequence goy.
5/312
Three letters picked without replacement from rjrjrjrjjrjrjrrjrrj. Give prob of sequence rjj.
40/323
Four letters picked without replacement from zfiiiwibzkzzwiw. What is prob of sequence fziw?
1/546
What is prob of sequence mzm when three letters picked without replacement from mmzzmmmmzmmm?
9/55
Calculate prob of seque | {
"pile_set_name": "DM Mathematics"
} |
actors of z?
2, 5
Let r = 28 - 11. Suppose -3*t + 7 = -r. List the prime factors of (t/(-5))/(6/(-15)).
2
Let f = -9 + 64. What are the prime factors of f?
5, 11
Let l(b) = 6 + 6*b**3 + b - 7*b**3 + b**2 + 4. List the prime factors of l(0).
2, 5
Let c(y) be the second derivative of -7*y**4/24 - y**3/2 + 2*y**2 - 2*y. Let w(f) be the first derivative of c(f). List the prime factors of w(-3).
2, 3
Let p be (-1)/4 + (-17)/(-4). Let y be 15/p + 2/8. Suppose 36 = y*i - 32. List the prime factors of i.
17
Let y(t) = -2*t**3 - 4*t**2 - 16*t + 2. What are the prime factors of y(-5)?
2, 29
Suppose 5*y - 4 = 6. Suppose -y*i = i - 30. List the prime factors of i.
2, 5
Let d = -424 - -605. List the prime factors of d.
181
Let h = 45 + -27. Suppose -5*x + 0*x - h = -v, 3*x = 0. List the prime factors of v.
2, 3
Let a be (30/(-7))/(2/14). Suppose -3*p - 46 = -1. Let m = p - a. List the prime factors of m.
3, 5
Suppose 6*t + 5*t - 528 = 0. List the prime factors of t.
2, 3
Suppose w + 3*s = 89, -2*w + s + 166 = 4*s. List the prime factors of w.
7, 11
Suppose 1 + 1 = 2*s, 4*u - 5 = 3*s. Suppose -5*o + u*o = -21. Let q(h) = h**2 - 4*h - 2. List the prime factors of q(o).
19
Suppose 5*n + 4 - 14 = 0. Let t = 10 + n. What are the prime factors of t?
2, 3
Let w be 0 - 1/(-1) - -30. Let j = w + -10. Let v = -12 + j. What are the prime factors of v?
3
Let g(l) = l**2 - 9*l - 8. Let j be g(10). What are the prime factors of 5/((1 - j)/(-1))?
5
Let a = -21 - -46. Let o = -19 + a. List the prime factors of o.
2, 3
Let a(s) = 2*s**3 - 5*s**2 + 2*s. Let l(m) = 3*m**2. Let w be (-1)/3 + (-2)/3. Let o be l(w). List the prime factors of a(o).
3, 5
Suppose 2*f + 12 = 4*v, -4 = -v + 2*v + 3*f. Let l be v*(15/6 - 1). Suppose -l*h - 2*b + 58 = 2*h, -47 = -4*h - b. List the prime factors of h.
2, 3
Let v(x) = x - 11. Let w be v(9). Let r(m) = 4*m**2 + 2*m. What are the prime factors of r(w)?
2, 3
Let k(j) = j - 10. Let u be k(10). Let n(c) = 5*c**3 + 0 + u - 2*c**3 + 2*c**2 - 1. What are the prime factors of n(1)?
2
Let t = -217 + 405. Suppose u - 2*f = 42, -t - 82 = -5*u - 5*f. List the prime factors of u.
2, 5
Let f = 308 + -104. List the prime factors of f.
2, 3, 17
Suppose g = -8 + 16. What are the prime factors of g?
2
Suppose 2*d + p - 233 = 0, -d + 26 = 5*p - 86. What are the prime factors of d?
3, 13
Suppose 27 = -2*n + 5*n. Suppose -4*a = -3*k - 15, -2*k + 4 = -a + n. What are the prime factors of a?
3
Suppose 2*s - 3*n - 62 = -0*n, 45 = s + 2*n. What are the prime factors of s?
37
Let j = 26 + -24. What are the prime factors of j?
2
Let z be -2 - -1 - (-9 + 20). Let m = 13 + 8. Let h = z + m. List the prime factors of h.
3
List the prime factors of (-13 - -37)*(-4)/(-6).
2
Let h = 39 + -16. List the prime factors of h.
23
Let z = 6 - -322. What are the prime factors of z?
2, 41
Suppose -w = w - 8. Suppose 35 = w*r + 11. What are the prime factors of r?
2, 3
Let i(n) = 2*n**2 - 1 - 10*n**2 - 2*n + 0*n**2. Let f be i(-1). What are the prime factors of 1/1*-1*f?
7
Let w be ((-1)/(-1))/(1/5). Suppose o - 5*g = -w, 2*o - 2*g + 10 = -5*g. Let x = o - -8. List the prime factors of x.
3
Let q = -3 - -5. Suppose 5*t = q*b + 70, -2*b - 49 - 5 = -4*t. List the prime factors of t.
2
Let f(g) = -4 + 4*g + 3*g**2 + 3 - 2*g**2. Let m be f(-5). Suppose -3*o + 49 = o + 5*p, -m*o + 48 = 4*p. What are the prime factors of o?
11
Let p = 9 - 5. Suppose 4*l + p - 12 = 0. What are the prime factors of l/((2/10)/1)?
2, 5
Let b = 6 + -4. Suppose -b*f + 0 = -2. What are the prime factors of (f - (3 + -1))*-9?
3
Let d(a) = -9*a. Let t(g) = -17*g. Let b(m) = -5*d(m) + 3*t(m). Let j be b(-4). Suppose -r = 3*c - j, 4*r + 3*c - 64 = 7*c. What are the prime factors of r?
2, 3
Let l = 2 - -1. Let o = 46 - -4. Suppose -2*q + o = l*q. List the prime factors of q.
2, 5
Suppose 22 = 3*l - 50. Suppose l = 3*w - 2*x - 3, -4*x = -4*w + 32. List the prime factors of w.
11
Suppose 5*u = 12 - 37. Let p = u - -8. What are the prime factors of p?
3
Let z be (-214)/(-6) - 5/(-15). Suppose q = -q + z. What are the prime factors of q?
2, 3
Let b be ((-340)/6)/(22/(-33)). Let o = b - 48. What are the prime factors of o?
37
Suppose p = -4*f + 6, -2*p + f + 5 = 2*f. Suppose -3*o = -p*o - 5. List the prime factors of o.
5
Let z(t) = -t**3 + 4 + 2*t + 1 + 0*t**3 - 2*t**2. What are the prime factors of z(-4)?
29
Suppose -8 = -3*t - 158. List the prime factors of (2 + t/6)*-3.
19
Suppose -2*q - 3*q + 2*j = -520, j + 207 = 2*q. What are the prime factors of q?
2, 53
Suppose -y + 6*y - 15 = 0. Let n = 22 - y. List the prime factors of n.
19
Let b be (-3)/(-24) + 558/16. Suppose 4*w + 161 = 5*k, 4*k + 3*w = 139 - b. List the prime factors of k.
29
Let p(s) = -s**3 - 7*s**2 - 9*s - 7. Let f be p(-7). What are the prime factors of 27/7 - (-8)/f?
2
Suppose -2*x = 4*t - 74, 4*t = 3*x - x - 74. Suppose -x = -3*i - 4. What are the prime factors of i?
11
Let v be ((-3)/(-6))/(3/102). Let y = 38 - v. What are the prime factors of y?
3, 7
Suppose -u - 3*u = 0. Suppose 6 = 3*s, -l - 2*l - s + 38 = u. List the prime factors of l.
2, 3
Let p be (-3)/(-9) + (-2)/6. Suppose y = -t + 6*t + 7, p = -3*y + 5*t + 21. What are the prime factors of y?
7
Let a(h) = h + 1. Let z be a(-1). Suppose 2*c = 4 - 0. Suppose 5*d - c*d - 21 = z. List the prime factors of d.
7
Suppose -b - 9 = 2*b. Let u be (-4 + -1)*1*b. Let l = u - 6. List the prime factors of l.
3
Suppose 3*p = 2*p - 1. Let w(k) = -12*k**3. What are the prime factors of w(p)?
2, 3
Suppose 5*c - 2 = 3*c. Let l(j) = 5*j**2 + j. Let x be l(c). Suppose -80 = 2*h - x*h. List the prime factors of h.
2, 5
List the prime factors of -2 + 21 - (2 + -2).
19
List the prime factors of (4/6)/(2/126).
2, 3, 7
Let c(j) be the third derivative of 7*j**5/20 - j**4/12 + j**3/6 + 3*j**2. What are the prime factors of c(1)?
2, 5
Suppose 3*q = 10 + 5. List the prime factors of q.
5
Let v = 297 + -151. What are the prime factors of v?
2, 73
Let s be ((-15)/6)/(-5)*-42. Let o = s - -63. Suppose 2*d - o = -d. What are the prime factors of d?
2, 7
Let a = -13 - -7. List the prime factors of ((-28)/a)/((-2)/(-6)).
2, 7
Let d = 4 + -4. Suppose d*x + x = 7. Let k = 10 - x. What are the prime factors of k?
3
Let k be (1/3)/((-1)/(-6)). List the prime factors of (1/1)/(k/4).
2
Suppose -1 - 1 = 2*m. Let l be (m/4)/(9/(-36)). What are the prime factors of 13*(0 - l)*-1?
13
Let w(c) = 40*c - 15. List the prime factors of w(5).
5, 37
Let l be ((-7)/(-2))/(1/(-10)). Let v = 71 + l. List the prime factors of v.
2, 3
Suppose 3*k - 3*l = 0, -2*k + k + 5*l = 0. Suppose k = h - 6 + 2. What are the prime factors of h?
2
Let l = 110 - 56. List the prime factors of l.
2, 3
Let w(i) = -i**2 + 8*i - 3. Let k(p) = p**2 - 1. Let g(q) = -2*k(q) - w(q). What are the prime factors of g(-8)?
5
Suppose -2*g + 138 = -74. What are the prime factors of g?
2, 53
Suppose 2*b + 90 = -3*b. Let g = 26 + b. Let w = 1 + g. What are the prime factors of w?
3
Suppose 6*o - 2*o = z + 316, -3*z = 5*o - 412. What are the prime factors of o?
2, 5
Suppose -4*d + 2*d = -44. Let j = d + -14. What are the prime factors of j?
2
Let u be ((-32)/20)/((-2)/5). Suppose 0 = z + 4, -34 + 2 = -u*j - 4*z. Suppose j = 2*k - 22. List the prime factors of k.
17
Let n(d) = d + 42. Let x be n(0). Suppose 5*i - 3 - x = 0. What are the prime factors of i?
3
Let a(f) = -8*f + 16. Let v(s) = -1. Let k(z) = a(z) + 16*v(z). List the prime factors of k(-1).
2
List the prime factors of (-5)/15*-15*(-36)/(-5).
2, 3
Let q be 2/(-9) + (-218)/(-9). What are the prime factors of 126/q*(-16)/(-3)?
2, 7
Let z(b) = b - 3. Let x be z(4). Let w(g) = 8*g**2 - g + 1. List the prime factors of w(x).
2
Let i(u) = -5*u - 9. List the prime factors of i(-14).
61
Let y = -33 + 54. Suppose 4*k - y = -9. Suppose -k*g = 2*g - 55. What are the prime factors of g?
11
Suppose b - 10 - 2 = 5*t, -10 = -2*b + 3*t. Suppose -b*u - 28 = -3*u. Suppose -8 = -4*q + u. List the prime factors of q.
3
Suppose -4*u = -4*z + 268, -2*z - 4*u + 136 = 14. What are the prime factors of z?
5, 13
Suppose -5*z - 6 + 26 = 0. Suppose -x + z*d + 28 = -1, -2*x + 3 = 3*d. What are the prime factors of x?
3
Let i(a) = -3*a + 4. Let f(b) = 3*b - 4. Let o(j) = 6*f(j) + 7*i(j). Let t be o(-3). Suppose -t = -2*y + 1. What are the | {
"pile_set_name": "DM Mathematics"
} |
Let p(l) = -10*l**3 - l**2 - 5*l + 10. Give -2*p(z) - 7*w(z).
-z**3 + 2*z**2 - 4*z + 1
Let i(g) be the first derivative of g**4/4 + 3. Let u(h) = h**3. Give i(q) - 5*u(q).
-4*q**3
Let y(n) = 9*n + 2. Let w(h) = -10*h - 3. Give 2*w(v) + 3*y(v).
7*v
Let l(o) be the first derivative of -o**2/2 + 4. Let z(w) = 1 + 0*w - 1 - 6*w. Calculate -4*l(v) + z(v).
-2*v
Let r(h) be the third derivative of h**4/3 + 2*h**3/3 - 3*h**2. Suppose -2*a + 1 = 3, 0 = 3*j + 2*a + 17. Let o(v) = 7*v + 3. What is j*r(k) + 6*o(k)?
2*k - 2
Let h(o) = -91 + 9*o + 61 + 41. Let c(t) = 13*t + 16. Give -5*c(m) + 7*h(m).
-2*m - 3
Let g(l) = -l - 2. Let i(y) = y - 3. Let h be i(2). Let z(u) = -1. Give h*g(j) + 2*z(j).
j
Let n = -5 - -18. Let l(m) = -7 - 4*m**2 - 20*m - 16*m + 34*m. Let o(r) = -9*r**2 - 4*r - 15. What is n*l(a) - 6*o(a)?
2*a**2 - 2*a - 1
Let b(n) = -n**2 + 7. Let o(p) = -p**2 + 6. Calculate 3*b(u) - 4*o(u).
u**2 - 3
Let v(p) = -9*p**2 - 11*p - 13. Let a(h) = 4*h**2 + 5*h + 6. Let s(f) = -f**2 - 9*f - 13. Let y be s(-6). Suppose 9*j = y*j - 24. Give j*v(l) - 13*a(l).
2*l**2 + l
Let y(l) = 10*l - 5. Let c(j) = -41*j + 20. Let b(s) = 2*c(s) + 9*y(s). Let v(t) = -10*t + 24. Let d be v(3). Let g(h) = -17*h + 11. What is d*g(i) - 13*b(i)?
-2*i - 1
Let m(i) = 3*i**2 + 4*i**2 - 7*i**2 + 5*i - 4*i**3. Let f(h) = 2*h**3 - 3*h. Suppose -5*x + 3*q + 27 = 0, 5*x + 2*q = q + 11. Determine x*m(a) + 5*f(a).
-2*a**3
Let w(h) = 4*h**2 + 2*h + 3. Suppose q - 4*r = 20, r + 38 = 4*q - r. Let n(c) = -6*c**2 - 3*c - 5. Give q*w(s) + 5*n(s).
2*s**2 + s - 1
Let p(w) = -16*w + 8. Let d(x) = 4*x - 2. Calculate 18*d(f) + 4*p(f).
8*f - 4
Let u(c) = -13 + 2*c**2 + 3 - 6*c + 8*c. Let g(x) = 3 - 2 + 0. Calculate 10*g(o) + u(o).
2*o**2 + 2*o
Let n(b) = -26*b**3 - 16*b**2 + 16*b - 16. Let x(o) = 5*o**3 + 3*o**2 - 3*o + 3. Let y(l) = l**2 + 9*l - 2. Let k be y(-7). What is k*x(j) - 3*n(j)?
-2*j**3
Let a = 6 - 3. Let b(z) = -z + 4. Let m(u) = u - 3. Let d(q) = 3*q**3 - 3*q**2 + 3*q - 2. Let t be d(2). Let o = -12 + t. Determine a*b(y) + o*m(y).
y
Let k(s) = -2*s**2 + 1. Let w be (-4)/(-16) + 13/(-4). Let c(f) = f**2. Determine w*c(l) - 2*k(l).
l**2 - 2
Let f(j) = 5*j - 5. Let x(n) = -6*n + 4. Let y(l) = l. Let g(m) = x(m) + 2*y(m). Let w(b) = -b**3 + 5*b**2 + 6*b + 3. Let k be w(6). Determine k*g(i) + 2*f(i).
-2*i + 2
Let s(c) = 0 - c + 0 - 1. Let n(z) = z - 2. Let y be 3 - -5 - (-2 + 2). Suppose -4*l + 12 = y. Determine l*s(a) - n(a).
-2*a + 1
Let w(z) = -z. Let j(o) = 2*o + 31. Give -j(g) - 4*w(g).
2*g - 31
Let j(p) = p**3 - 5*p**2 - 3*p - 1. Let f(q) = q**3 - 9*q**2 - 5*q - 2. Determine -3*f(n) + 5*j(n).
2*n**3 + 2*n**2 + 1
Let o(r) = 4*r**2 - 3*r - 39. Let v(n) = -6*n**2 + 5*n + 59. What is 8*o(y) + 5*v(y)?
2*y**2 + y - 17
Let m(k) = 0*k**3 - 3*k + k**3 + 0*k + 1. Let i be (-1 + 2)*(-1 + 5). Let a(f) = 2*f**3 - 4*f + 2. Suppose 5*n = -5 - 10. What is i*m(x) + n*a(x)?
-2*x**3 - 2
Let d(p) = -2*p**3 + 6*p**2 - 2*p - 4. Let l(s) = 3*s**3 - 11*s**2 + 4*s + 7. Let k(h) = 2*h**3 + 14*h**2 - 2*h - 7. Let o be k(-7). Give o*d(r) + 4*l(r).
-2*r**3 - 2*r**2 + 2*r
Let b be ((-55)/10)/(1/(-2)). Suppose 3*x = 4*z + 5, -2*z + b + 4 = -5*x. Let f(m) = -4*m - 2. Let n(q) = 2 + 3 + q + 3*q + 5*q. Calculate z*f(w) - 2*n(w).
2*w
Let t(w) = -w. Let n(k) = -4*k. What is -n(m) + 12*t(m)?
-8*m
Let v(m) = m + 2. Let q(n) = -n - 1. Let j(l) = l**3 + 6*l**2 - 9*l - 9. Let w be j(-7). What is w*v(t) + 8*q(t)?
-3*t + 2
Let g(s) = s. Let c = 74 + -70. Let d(b) = 2*b - 4. What is c*g(x) - d(x)?
2*x + 4
Let p(r) = -11*r**2. Let n(m) = 10*m**2. Give -4*n(q) - 3*p(q).
-7*q**2
Let q(c) = -6*c**2 + c + 5. Let s(x) be the second derivative of x**4/12 - x**2/2 + 38*x. Let y(g) = 4*g**2 + 1. Let z be y(-1). Determine z*s(f) + q(f).
-f**2 + f
Let q(t) = -3*t**3 + 8*t**2 + 6*t - 6. Let j(b) = -2*b**3 + 7*b**2 + 5*b - 5. What is 6*j(i) - 5*q(i)?
3*i**3 + 2*i**2
Let y(j) = -5*j**2 + 4*j - 5. Let s(d) = -50*d**2 + 27*d - 50. Let g(r) = 17*r**2 - 9*r + 17. Let k(n) = -17*g(n) - 6*s(n). Determine -6*k(l) - 13*y(l).
-l**2 + 2*l - 1
Let i(h) = 30*h**3 - 26*h**2 - 16*h - 10. Let y(s) = -6*s**3 + 5*s**2 + 3*s + 2. Give 3*i(c) + 16*y(c).
-6*c**3 + 2*c**2 + 2
Let o = 6 - 2. Suppose -3*m + 37 = -4*d, 0 = m - 0*d - o*d - 15. Let w(x) = -x**2 - 5*x + 5. Let q(s) = -s + 1. Give m*q(k) - 2*w(k).
2*k**2 - k + 1
Let g(m) = 5*m - 48. Let k(z) = -z + 12. What is 2*g(a) + 9*k(a)?
a + 12
Let a(x) = 7*x**2 + 11*x - 6. Let w(p) = 4*p - 5 + 1 + 1 + 4*p**2 + 2*p. What is 6*a(n) - 11*w(n)?
-2*n**2 - 3
Let p be 10/(-55) - (-238)/(-22). Let i(h) = 2*h + 6. Let k(a) = a + 2. Give p*k(d) + 4*i(d).
-3*d + 2
Let d(l) = l**2 + l - 1. Let n(q) = -23*q**3 - 3*q**2 - 3*q + 3. Give 3*d(r) + n(r).
-23*r**3
Let l(b) = 33*b**2 - 5*b - 5. Let h(w) = -16*w**2 + 2*w + 2. Calculate 10*h(g) + 4*l(g).
-28*g**2
Let a(g) = 4*g - 7. Let b be (-12)/(-5) + (-10)/25. Let z(o) = -3*o + 6. Give b*a(q) + 3*z(q).
-q + 4
Let m(f) = 0 + 0 + 6 + f. Let c(z) = z + 7. Let o(g) = 5*c(g) - 6*m(g). Let q(j) = j**2 + 3*j + 4. Determine 3*o(w) + q(w).
w**2 + 1
Let f = -2 + 9. Let r(b) = -6 + f*b + 4 - 13*b**2 + 2*b - 5. Let u(y) = -6*y**2 + 4*y - 3. Determine 4*r(o) - 9*u(o).
2*o**2 - 1
Let n = 3 + -5. Let i(a) = 69*a - 2 - 142*a + 4 + 72*a. Let w(z) = -1. Suppose 0 = -2*o - 2*y - 4 - 2, -5*o = 2*y + 15. What is n*i(s) + o*w(s)?
2*s - 1
Let g(s) = -17*s + 34*s - 18*s - 1 + 2. Let q(a) = -6. Determine 6*g(x) + q(x).
-6*x
Let j(z) = -2*z**3 + 4*z**2 - 5. Let w = 20 + -21. Let l(n) = -n**2 + 1. Calculate w*j(h) - 4*l(h).
2*h**3 + 1
Let a(b) = -b - 2. Let m(f) = -f - 2. Let g(c) = 5*a(c) - 6*m(c). Let x(l) = l**2 - l - 1. Determine -g(q) - x(q).
-q**2 - 1
Suppose 5*n = 15 - 5. Let q(k) = 2*k**3 - 2*k**2 - 2*k. Let g be q(n). Let p(j) = -j**3 - 2*j**2 + 2*j - 2. Let t(w) = -w**2 + w - 1. Give g*t(h) - 2*p(h).
2*h**3
Let m(y) = -y**2. Let o(p) = 4*p**2 + 8*p. Give -6*m(x) - o(x).
2*x**2 - 8*x
Let y(h) = h**2 + h + 4. Let j(d) = d + 7. Let b(s) = s**2 - 4*s - 29. Let i(a) = 2*b(a) + 9*j(a). What is -2*i(u) + 3*y(u)?
-u**2 + u + 2
Let d(y) = 14*y + 7. Let s(i) = 2*i + 1. Let m(r) = d(r) - 6*s(r). Let q(t) = t + 2. Give 3*m(k) - 2*q(k).
4*k - 1
Let i(b) = -6*b**3 - 2*b**2 - 3 + 2 - 6*b - 2*b**2 + 2. Let g(u) = -11*u**3 - 7*u**2 - 11*u + 2. Give 4*g(s) - 7*i(s).
-2*s**3 - 2*s + 1
Let u(h) = -4*h**2 + 4*h + 5*h**2 + 6 + 4. Let g(z) = -z**2 - 5*z - 11. Let l(x) = -5*g(x) - 6*u(x). Let s(d) = 2*d**2 - 2*d + 11. Give 9*l(w) + 4*s(w).
-w**2 + w - 1
Let t(z) = -7*z**2 - 5*z - 7. Let v(n) = 4*n**2 + 3*n + 4. Let c = -54 - -43. Give c*v(o) - 6*t(o).
-2*o**2 - 3*o - 2
Let d(r) = -r**2 + 1. Let q(x) = x**3 + x**2 - 3. Give 2*d(y) + 2*q(y).
2*y**3 - 4
Let w(z) = 7*z**2 + 11. Suppose -2*n + 3 - 1 = 0. Let i = n - 7. Let f(u) = u**2 - 3 + 0 - 3*u**2. Determine i*w(t) - 22*f(t).
2*t**2
Let s(a) = 4*a - 7. Let i be 3/(4 - (-4 + 5)). Suppose 0 = -v - 0*v - 3, -3*l + v = -18. Let y(r) = -r + 1. Determine i*s(b) + l*y(b).
-b - 2
Let n(j) = 2*j - 6. Let d be (-8)/(-3)*(-3)/(-2). Let x(h) = -h + 3. Let a(r) = d*n(r) + 10*x(r). Let m(p) = -2*p + 5. Calculate 5*a(v) - 6*m(v).
2*v
Let r(z) = -6*z**3 + 3*z**2 + z - 5. Let k(g) = -5*g**3 + 2*g**2 + g - 4. Let n(l) = -l**2 + 8*l - 11. Let q be n(4). What is q*k(y) - 4*r(y)?
-y**3 - 2*y**2 + y
Let p(r) = r**2 - r. Let b(k) = k**3 + 5*k**2 - 6*k - 2. Let x be b(-6). Let n(u) = u**2 - 4*u - 2. Calculate x*p(m) + n(m).
-m**2 - 2*m - 2
Let n(h) = h**2 - h - 1. Let i(u) = -21*u**2 + 18*u + 18. Let g = -1 + 0. Give g*i(x) - 18*n(x).
3*x**2
Let o(z) = -z. Let b(a) = -3*a**2 - 4*a. Calculate b(g) - 4*o(g).
-3*g**2
Let x(o) = -2*o**2 + 2*o - 9. Let y(d) = -1. Give -x(j) + 6*y(j).
2*j**2 - 2*j + 3
Let b(v) = v**2 - 7*v + 14. Let d be b(6). Let c(y) = d*y + 2 + 3*y**2 - 4*y + 0*y**2 - 3*y. Let r(t) = t**2 + t + 1. Determine c(a) - r(a).
2*a**2 + 1
Let v(r) = r. Let a(k) = 13 + 4*k - 13 - k. What is 2*a(w) - 9*v(w)?
-3*w
Let g(d) = 7*d - 5. Let i(t) be the third derivative of 5*t**4/8 - 11*t**3/6 + 3*t**2. Suppose 0 = 3*o - 6 - 12. Calculate o*i(u) - 13*g(u).
-u - 1
Let h(p) = p - 1. Let f be h(0). Let w(y) = 2*y - 1. Let r(i) = 1. Give f*w(t) + r(t).
-2*t + 2
Let m(o) be the second derivative of -o**3/3 + 2*o**2 + o. Let b(f) = -4*f + 7. Determine 6*b(h) - 11*m(h).
-2*h - 2
Let q(c) = -16*c | {
"pile_set_name": "DM Mathematics"
} |
Let a(w) = w**h + 2*w**2 - w**2. Let u(i) = -4*i. What is u(a(v))?
-8*v**2
Let v(x) = -2*x**2. Let w(s) = 116 - 116 - s**2. Calculate v(w(k)).
-2*k**4
Let s(o) = 3*o. Let p(g) be the second derivative of g**6/120 + g**3/3 + 3*g. Let k(y) be the second derivative of p(y). Give k(s(r)).
27*r**2
Let o(j) be the third derivative of j**4/6 - 12*j**2. Let g(h) = -2*h**2. Give g(o(l)).
-32*l**2
Let p(d) = -8*d**2. Let y(i) = -60*i**2. What is p(y(v))?
-28800*v**4
Let k(b) = 37*b. Let u(q) = -8*q**2. Determine k(u(j)).
-296*j**2
Let h(n) = 6*n. Suppose -15 = s - 4*u, 0 = s + 4*s - u + 18. Let w(t) = t. Let f(i) = s*h(i) + 16*w(i). Let x(p) = -6*p. Calculate f(x(j)).
12*j
Let z(x) = 14*x. Let p(a) = -2 - a - 4 + 6. What is z(p(k))?
-14*k
Let k(j) be the second derivative of -j**3/3 - 12*j. Let o(i) = -i. Determine k(o(u)).
2*u
Let h(b) = 27*b**2. Let g(k) = -k**2. Determine h(g(l)).
27*l**4
Let k(a) = -5*a**2 - 3*a + 3. Let c(i) = 9*i**2 + 5*i - 5. Suppose 14 = 2*d + d - r, -r + 1 = 0. Let o(x) = d*k(x) + 3*c(x). Let j(f) = 5*f. Give j(o(l)).
10*l**2
Let g(i) = 9*i**2. Let w(f) = -2*f. Give w(g(c)).
-18*c**2
Let l(o) = 2*o. Let n = -3 + -3. Let f = n - -8. Let h(k) = k + f*k - k. Give l(h(d)).
4*d
Let w(l) = l**2 + 7*l + 9. Let s be w(-6). Let u(o) = o - 1. Let k(d) = -4*d + 3. Let t(r) = s*u(r) + k(r). Let h(m) = 2*m. Determine t(h(g)).
-2*g
Let z(s) = -s**2. Let k(c) = c - 33. What is k(z(w))?
-w**2 - 33
Let l(x) = 7*x. Let h(v) = 53*v. Determine h(l(u)).
371*u
Let j(k) = -k**2. Let x(y) be the first derivative of 1/2*y**2 + 0*y + 2. Give j(x(t)).
-t**2
Let v(s) = -s**2. Let f(a) be the first derivative of a**5/60 + 5*a**3/3 + 4. Let u(t) be the third derivative of f(t). What is u(v(m))?
-2*m**2
Let f(p) = -8*p**2. Let d(r) = -2*r. Let u(g) = -g**2 - g. Let j(m) = d(m) - 2*u(m). Determine j(f(v)).
128*v**4
Let j(m) = 2*m**2. Let q(r) = r - 51. Calculate j(q(w)).
2*w**2 - 204*w + 5202
Let b be (-9)/(-5) + (-1)/(-5). Let s be 0*(-1)/1 + 2. Let p(d) = b - d - s. Let f(n) = 2*n. Calculate p(f(u)).
-2*u
Let l(u) be the third derivative of u**5/60 - u**2. Let q = -1 + 3. Let w(s) = -3*s + q*s - 3*s + 3*s. What is l(w(v))?
v**2
Let y(d) = 10*d + 4. Let a(u) = 9*u + 3. Let h(p) = 4*a(p) - 3*y(p). Let m(j) = 10*j - 10*j + j**2. Give h(m(g)).
6*g**2
Let q(n) = 2*n**2. Let d(y) = 17*y + 68. Let a(b) be the third derivative of -b**3/6 + 5*b**2. Let x(v) = -68*a(v) - d(v). What is x(q(f))?
-34*f**2
Let b(v) = -v**2. Suppose -5*a + 2*c = -0*c + 4, 0 = a - c + 2. Let i(k) be the third derivative of 0*k**3 + 2*k**2 + a*k + 0 + 1/24*k**4. Calculate b(i(j)).
-j**2
Let a be (-10)/(-4) - 2/4. Let s(t) = -t**a + 4*t**2 + 0*t**2. Let i(c) = 1. Let h(d) = -d + 1. Let g(j) = -2*h(j) + 2*i(j). Give g(s(v)).
6*v**2
Let r(d) be the third derivative of d**5/60 - 3*d**2. Let g(j) be the first derivative of 2*j**3/3 + 2. Give r(g(n)).
4*n**4
Let m(i) = -3*i**2. Let o(l) = 776*l + 2. What is m(o(g))?
-1806528*g**2 - 9312*g - 12
Let a(b) = 6*b - 2. Let n(d) = -17*d + 7. Let c(g) = 7*a(g) + 2*n(g). Let s(l) be the first derivative of -2*l**3/3 + 21. Determine s(c(h)).
-128*h**2
Let s(l) = -4079*l**2. Let x(n) = -6*n. What is s(x(q))?
-146844*q**2
Let o(l) = -l**2 - 1. Let w(g) = -2*g**2 - 3. Let z(i) = 3*o(i) - w(i). Let t(u) = -10*u. What is t(z(n))?
10*n**2
Let w(o) = -40*o**2. Let l(m) = -m. Calculate w(l(j)).
-40*j**2
Let s(c) be the first derivative of -c**2/2 + 5. Let m(q) = 10*q**2. Calculate m(s(d)).
10*d**2
Let r(j) = j**2. Let m(y) = 12*y - 7. Let a(q) = -q + 1. Let s(n) = -28*a(n) - 4*m(n). What is r(s(g))?
400*g**2
Let j(i) = 84*i. Let h(b) = 2*b**2 + 81*b. Give h(j(d)).
14112*d**2 + 6804*d
Let j(z) = -2*z**2. Let d(m) be the second derivative of m**6/180 + m**3/3 + m. Let h(q) be the second derivative of d(q). Calculate j(h(a)).
-8*a**4
Let y(w) = 5*w**2. Let t(u) = 8*u**2 + 1. Determine y(t(a)).
320*a**4 + 80*a**2 + 5
Let z(j) = -2*j**2. Let x(t) = t**2 + t + 1. Suppose 0 = 5*s + 1 - 6. Let b(n) = n + 1. Let l(c) = s*x(c) - b(c). Give z(l(k)).
-2*k**4
Let d(u) = 2*u. Let f be 2/(0 - 2/(-7)). Suppose -10 = -f*q + 2*q. Let m(h) = 0*h + h + q*h. What is d(m(i))?
6*i
Let u(f) = -19*f. Let w(j) = -39*j**2. Determine w(u(d)).
-14079*d**2
Let o(x) be the first derivative of 3*x**2/2 + 11. Let q(t) = -6*t. Determine o(q(b)).
-18*b
Let s(z) = -299*z**2 - 2. Let n(t) = 2*t**2. Give s(n(w)).
-1196*w**4 - 2
Let s(m) = -2*m. Let l(g) = 2955*g. Give l(s(q)).
-5910*q
Let l(n) be the third derivative of n**5/60 + 143*n**2. Let b(k) = -6*k**2 + 11. Let m(h) = -h**2 + 2. Let g(y) = 4*b(y) - 22*m(y). Determine l(g(a)).
4*a**4
Let m(y) = y**2. Let l(j) = 3*j**2 - 25*j. Give m(l(t)).
9*t**4 - 150*t**3 + 625*t**2
Let j(g) be the second derivative of -4*g + 0 + 0*g**3 - 2*g**2 - 1/6*g**4. Let v(u) be the first derivative of j(u). Let d(i) = 2*i. Give d(v(h)).
-8*h
Let b(c) = -c. Let m(z) = 11*z - 5. Suppose 4*q + 15 = q + 2*n, -5 = q + 2*n. Let d(t) = -6*t + 3. Let j(a) = q*d(a) - 3*m(a). Calculate b(j(u)).
3*u
Let f(r) = -46*r + 5. Let t(o) = 11*o - 1. Let c(q) = 2*f(q) + 9*t(q). Let l(w) = 2*w**2. Calculate c(l(x)).
14*x**2 + 1
Let t(c) = c - 1. Let h(a) = 13*a - 11. Let f(x) = -2*h(x) + 22*t(x). Let w(i) be the first derivative of -i**3 - 26. Calculate f(w(l)).
12*l**2
Let o(g) = -11*g. Let f(l) = -520*l**2. What is f(o(i))?
-62920*i**2
Let u(j) = -7*j. Let f(b) be the third derivative of 0*b**3 + 5*b**2 + 0 + 1/30*b**5 + 0*b**4 + 0*b. Give f(u(t)).
98*t**2
Let g(p) be the second derivative of -p**4/4 + 5*p**2/2 - 3*p. Let o(q) = -2 + 0*q + q**2 + 0*q. Let v(j) = 2*g(j) + 5*o(j). Let l(i) = -2*i. Calculate v(l(b)).
-4*b**2
Let f(z) = -1 - 2*z - 8 + 9. Let m(o) = 6 - 2 - 3 + 0*o**2 - o**2. Let n(c) = c**2 - 2. Let x(a) = -2*m(a) - n(a). What is x(f(y))?
4*y**2
Let w(m) = 3*m**2. Let v(l) = 57*l**2 - 3. Calculate v(w(f)).
513*f**4 - 3
Suppose 3*a - q = 4*a - 2, 3*a + 5*q - 6 = 0. Let t(p) = -p**2 + 2*p**a + p**2. Let u(g) = 4*g. Determine t(u(y)).
32*y**2
Let c(s) = 2*s**2. Let j(a) = 3*a**2 + 2. What is c(j(n))?
18*n**4 + 24*n**2 + 8
Let q(y) = 3*y**2. Let x(r) = 3*r**2 - 4*r**2 + r**2 + 5*r**2. Calculate x(q(o)).
45*o**4
Let j(b) = -2*b**2. Let g(f) be the third derivative of f**5/20 + 10*f**2. What is g(j(p))?
12*p**4
Let w(k) = -3*k. Let y(i) = 175*i**2 - 5*i + 1. What is w(y(m))?
-525*m**2 + 15*m - 3
Let k(z) be the second derivative of 7*z**4/12 + 4*z. Let j(c) = -c. Calculate k(j(s)).
7*s**2
Let v(m) be the second derivative of -7*m**4/12 + 14*m. Let q(k) = 5*k**2. Calculate q(v(x)).
245*x**4
Let c(d) be the second derivative of d**5/120 + d**3/3 + 3*d. Let o(n) be the second derivative of c(n). Let l(h) = h**2 - 2*h**2 - h**2. Give l(o(y)).
-2*y**2
Let v(l) = l - 1. Let r(a) = 2*a**2 - a + 1. Let o(n) = r(n) + v(n). Let i(f) = -9*f - 5. Let x(y) = -14*y - 8. Let c(h) = 8*i(h) - 5*x(h). What is c(o(p))?
-4*p**2
Let y(o) = -11*o. Let m(j) be the second derivative of j**7/2520 - 3*j**4/4 - 9*j. Let d(u) be the third derivative of m(u). Give y(d(r)).
-11*r**2
Let t(q) = -q. Let d(m) = -12*m**2 + 3*m**2 + 7*m**2 + 3*m**2. Calculate d(t(v)).
v**2
Let a(x) = x**2. Let p(v) = 2*v - 33 + 33. Give p(a(o)).
2*o**2
Let l(f) = 1852*f. Let x(y) = y. Give l(x(i)).
1852*i
Let q(i) = -5*i**2. Let g(y) = -400*y. Give g(q(w)).
2000*w**2
Let b(j) = -4*j. Let i(g) = 24*g**2 + 2. Give b(i(u)).
-96*u**2 - 8
Let l(n) be the third derivative of 0*n**3 - 6*n**2 - 2/15*n**5 + 0*n**4 + 0*n + 0. Let f(x) = x. Determine f(l(c)).
-8*c**2
Let t(j) = -2*j. Let q(a) = a**2 - 3*a**2 + 4*a**2. Calculate q(t(z)).
8*z**2
Let j(d) = -702*d. Let o(s) = -3*s**2. Calculate j(o(t)).
2106*t**2
Let j(n) = 3*n**2. Let i(s) = -470*s**2. Calculate j(i(w)).
662700*w**4
Let m = 6 - 1. Let i(o) = -3*o**2 + 2*o + 2. Let p(x) = -7*x**2 + 5*x + 5. Let y(a) = m*i(a) - 2*p(a). Let u(r) = 6*r. What is u(y(q))?
-6*q**2
Let c(w) = -46*w**2. Let h(v) = 11*v. What is c(h(d))?
-5566*d**2
Let m(v) = 5*v. Let g(j) = 27*j**2 - 2. Calculate g(m(c)).
675*c**2 - 2
Let i(b) = -3574*b. Let d(l) = 4*l**2. What is d(i(p))?
51093904*p**2
Let h(x) = 3*x**2 - 2 + 0 + 2. Let d(i) = -2*i**2. What is h(d(t))?
12*t**4
Let c(w) = -27*w. Let x(d) = 26*d. What is c(x(t))?
-702*t
Let b(d) = d. Let c(t) = 2*t. Suppose o - 6 = -3. Let s(p) = o*b(p) - c(p). Let | {
"pile_set_name": "DM Mathematics"
} |
u + 4) - u**2 + 6*u**2 - 3*u**2.
14*u**2
Expand 0*y**4 - 4*y**2 + y**2 + y**4 + y**4 + 3*y - 3*y + (4*y + 0*y - 3*y)*(y**3 + 3*y**3 - 2*y**3) + (-6*y**2 + 2*y**2 - 6*y**2)*(y**2 + y**2 - y**2).
-6*y**4 - 3*y**2
Expand (4*d - 3*d + 0*d + (1 - 2 - 6)*(-3 - 2*d + 3))*(1 - 1 + 1) - 3*d + 3 - 3.
12*d
Expand (-5 - 3*q + 4*q + 4)*(-3 - 24 - 1).
-28*q + 28
Expand (42*x**2 + 329*x**2 + 43*x**2)*(0 + 3 - 1).
828*x**2
Expand -3*j**2 + 2*j**2 - j**2 + (-12*j + 7*j + 8*j)*(0 + 1 + 2)*(j - 2*j + 4*j).
25*j**2
Expand (31 + 37 - 21)*(-z + z - z) + 2*z + 2*z - 2*z.
-45*z
Expand (965 - 965 - 49*s)*(-3 - 3 - 2).
392*s
Expand j**5 + 2*j**5 - j**5 + (-j**2 + j**2 + 6*j**2)*(-8*j**3 + 4*j - 4*j) - 2*j + 2*j - 3*j**5.
-49*j**5
Expand (-3 + 2 + 2)*(i**5 + 2*i - 2*i)*(4 + 3 - 6)*(-5 - 149 + 74)*(-3 + 0 + 2).
80*i**5
Expand -8*i**5 + 5*i**5 - i**5 + (-2*i**5 + i**5 - i**5)*(0 - 4 + 5) + (0*i - 4*i + 3*i)*(1 + 3 - 1)*(0*i**4 + 5*i**4 - 4*i**4).
-9*i**5
Expand -4*l**2 + 0*l**2 + 2*l**2 + 2*l**2 + 0*l + 0*l + (3*l - 4*l + 2*l)*(2*l + 0*l - l) + l**2 - 1 + 1 + 2 - 2 + 3*l**2.
5*l**2
Expand (6*p - 3*p - p)*(0*p + 4*p - 2*p)*(-14*p**2 + 15*p**2 - 7*p**2).
-24*p**4
Expand (l - l - l**3)*(-4*l - l + 7*l) + 76*l**2 + l**3 + 14*l**4 - 76*l**2 + 4*l**4 - 3*l**4 + 4*l**4.
17*l**4 + l**3
Expand 3*r**2 - r**2 + 0*r**2 - 2*r - 5*r**2 + 2*r**2 + 2*r**2 + (-3*r + 0*r + 6*r)*(r + 0*r + 0*r).
4*r**2 - 2*r
Expand (455*w - 865*w + 577*w)*(-9 + 2 + 3)*(-5*w + 4*w + 2*w).
-668*w**2
Expand (c - 5*c + 0*c + (-3 + 1 + 4)*(0 + c + 0))*(-c**2 + 1 - 1)*(-2 + 0 + 3)*(-c - 4*c + 0*c).
-10*c**4
Expand (3 - 4 + 2)*(-11 + 3*h - 2*h + 8)*(8*h**4 - 1141 + 1141).
8*h**5 - 24*h**4
Expand (0*x + 2*x - 3*x)*(-9 + 0 + 3)*(9*x - 4*x + 8*x).
78*x**2
Expand (-2 + 2*i + 2)*(8 - 6 - 9)*((-i + 2*i - 2*i)*(2 - 4 + 1) + 4*i + 2*i - 2*i).
-70*i**2
Expand (-1 - 3*k + 1)*(1 + 1 - 4) - 24 + 24 + 25*k - k - k + k - 2*k - 2*k + 5*k - k + k - 2*k + (-2*k + 6*k - 2*k)*(0 + 1 - 2).
27*k
Expand (0*l**3 + l**3 + l**3)*(2 - 2 - l) - 4*l + 4*l - 7*l**4.
-9*l**4
Expand 11*s**3 - 3 + 3 + 5*s**3 + (0*s**3 + s**3 + s**3)*(-1 - 57 - 66).
-232*s**3
Expand 0*f**3 + 0*f**3 + 2*f**3 + 0*f**3 + 0*f**3 + f**3 + (-1 + 0 - 1)*(-f**3 + 0*f**3 + 2*f**3) + (4 - 6 + 0)*(2 - 5*f**3 - 2).
11*f**3
Expand (-33 - 19 - 84 - 8)*(-1 - 2*p + 1).
288*p
Expand (r**3 - 2*r**3 - r**3)*((-r + 0 + 0)*(1 - 3 + 0) - 5*r + 8*r - r).
-8*r**4
Expand (-2*n - 3*n + 2*n)*(-2139*n - 4 - 1 + 2159*n).
-60*n**2 + 15*n
Expand (1 + 1 - 1)*(12 + 997*q - 11 - 1).
997*q
Expand (-3*l - l + 0*l)*(-16*l + 10*l + 29*l).
-92*l**2
Expand (z - 1 + 1)*(4 + 1 - 2) + (-z - 4*z - z)*(1 + 2 - 5).
15*z
Expand (-3 - 3 + 0)*(8*h - 5*h + 14 - 2*h).
-6*h - 84
Expand (-4*u + 2*u**3 + 4*u)*(135 - 49 + 93).
358*u**3
Expand (0*t - 2*t + 4*t)*(0*t**4 + t**4 + t**4) - 1 - 2*t**5 + 1 + (-49 - 15*t + 49)*(-t**4 + t**4 - 2*t**4).
32*t**5
Expand (-s - 5*s + 4*s)*(3*s + 2*s - 3*s) - 3*s**2 - 4*s**2 + 0*s**2 + (s + 0*s + s)*(-2 + 2 - 2)*(6*s - 5*s - 3*s) - 3 + 3 + 2*s**2.
-s**2
Expand (-4*a - 3*a + 6*a)*(41 + 105 + 424 - 63).
-507*a
Expand (2*r + 0*r + 0*r)*(817 - 393 - 424 + 1939*r).
3878*r**2
Expand (-r**2 + 5*r**2 - 3*r**2 + r**2 - 4 + 4 + 2*r**2 - 4*r**2 + 3*r**2 + (r + 4*r - 4*r)*(2*r + 0 + 0))*(0*r + 2 + 2*r - 1)*(0*r**2 + 8*r**2 - 3*r**2).
50*r**5 + 25*r**4
Expand (29*r**4 - 13*r**4 + 88*r**4)*(2 - 2 - 6*r + (2 - 2*r - 2)*(0 + 0 + 2) - 1 + 1 + 2*r).
-832*r**5
Expand 0*u + 0*u + 5*u + (0 - 3 + 1)*(2 - 2*u - 2) + 27*u - 3 - 5*u - 8*u.
23*u - 3
Expand (-115*q + 93*q + 8 + 28*q)*(2*q - q + 0*q).
6*q**2 + 8*q
Expand (-206*a**2 + 3 - 14*a + 2 + 205*a**2)*(2*a**2 - a**2 + 0*a**2).
-a**4 - 14*a**3 + 5*a**2
Expand (5 - 6 + 2)*(-2*a - a + 2*a)*(34*a - 21 - 19 + 39)*(-2 - 1 + 1).
68*a**2 - 2*a
Expand (-3*d - 3*d + 4*d)*(1 - 1 + 1)*(1 + 4 - 6).
2*d
Expand (-5 - 2 + 5)*(4 - 4 - 2*s) + 31 - 42*s - 14 - 15.
-38*s + 2
Expand (-y**3 - y**3 + 4*y**3)*(-3 - 8*y - 1 + 6).
-16*y**4 + 4*y**3
Expand (1 - 1 + 2)*(4 - 3*z - 4)*(4 - 2 + 0)*(17 - 31 - 55).
828*z
Expand (-n - 18*n - 18*n)*(63*n - 63*n + 7*n**2)*(3*n + 0*n - 2*n).
-259*n**4
Expand (-y**2 + y**2 + 2*y**3)*(y - 3 + 3) + (-4 + 4 + y**2)*(-21*y**2 + 12*y**2 - 16*y**2).
-23*y**4
Expand (-a**2 + 0*a**2 + 5*a**2)*((-a + 2 - 2)*(4*a + 0*a - 2*a) - 2*a**2 + 2*a**2 + a**2 + 21*a**2 + 3*a**2 + 11*a**2).
136*a**4
Expand (2*c**3 - 4*c + 4*c)*(-46 - 5*c + 6*c**2 + 46).
12*c**5 - 10*c**4
Expand 0*i - 3*i**3 + 0*i + (0*i**2 - 3*i**2 + 4*i**2)*(6*i - 3*i - 2*i) - 9*i**3 + 3*i**2 - 3*i**2 + (-i + i - i)*(-6*i**2 + 2*i**2 + 0*i**2).
-7*i**3
Expand (-4*k + 4*k + k**3)*(428*k + 2*k**2 + 608 - 608).
2*k**5 + 428*k**4
Expand (-1 + 3 - 1)*(6*l**3 - 17*l**3 - 3*l**4 - l**3).
-3*l**4 - 12*l**3
Expand -3*t**3 + 5*t**3 - 3*t**3 + (-1 + 1 + 2)*(0*t**3 + 4*t**3 - 2*t**3) + 70*t**3 - 3*t**3 + 89*t**3.
159*t**3
Expand -212*v - 11192 + 11192 + (1 + 4 - 3)*(2*v + 2*v - 3*v + (-1 - 1 + 1)*(2*v - v + v)).
-214*v
Expand -4*r - 17 + 17 - 6*r + 0*r - 4*r + (0 + 2*r + 0)*(-2 + 1 + 0).
-16*r
Expand 4*v**3 - 4*v**3 - v**3 + (1 + 3 - 3)*(3 - 3 - 7)*(5*v - 5*v - 9*v**3).
62*v**3
Expand -5*q + 0*q + q + (-q - q + q)*(1 + 2 - 1) - 8*q + 2*q + 5*q + 5.
-7*q + 5
Expand (-3*f + 4*f + 0*f)*(f**2 + 3 - 3) + (-f - 2*f + 5*f)*(14*f**2 - 4*f**2 + 4*f**2).
29*f**3
Expand -7*n**3 + 6*n**3 - 23*n**3 + (-2*n**2 + 3*n**2 + 2*n**2)*(0 - 2*n + 0) - 3*n**2 - n**3 + 3*n**2.
-31*n**3
Expand (1 + 1 - 5)*(0 - 2 + 1)*(3*s**4 - s**4 - 3*s**4 + (-2*s + 8*s - s)*(4*s**3 - s**3 - s**3) + s**4 + 0*s**4 - 4*s**4).
18*s**4
Expand 2 - b - 2 + (0 + 1 + 3)*(-b + b - 2*b) + 3*b - 9*b + 2*b + (-2 + 1 + 4)*(-b - 3*b + 5*b).
-10*b
Expand (l**4 + l**4 + 0*l**4)*(5 + 16 - 6)*(6 + 4 - 1).
270*l**4
Expand (82*m - 34*m - 1 - 16*m)*(-2*m**2 + 2*m**2 - 3*m**3).
-96*m**4 + 3*m**3
Expand (4 - 4 + 3*f)*(5*f - 4*f - 2*f) - 4*f + f**2 + 4*f + 5*f**2 - f**2 - 3*f**2 - 4*f**2 + 30*f - 30*f.
-5*f**2
Expand (0 - 3 + 2)*(-6*x + 4*x + x) + (x - 2*x - x)*(5 - 4 + 0) + (7 - 4 - 1)*(-8*x - 6*x + 5*x).
-19*x
Expand (-2*p - 3*p + 4*p)*(-28 + 1 - 19).
46*p
Expand -46*k**4 + 50*k**4 - 2*k**3 - k**3 + (-3*k**3 - k**3 + 2*k**3)*(-3*k + 0*k + 2*k) + 2*k**4 - 2*k**4 + 2*k**4.
8*k**4 - 3*k**3
Expand (-14 + 0*g + 12 + 7*g)*(-6 - 12 + 6).
-84*g + 24
Expand -3*i**5 + 2*i**5 + 4*i**5 + ((-2*i + 2 - 2)*(i**3 + i**3 + 0*i**3) - 3*i**4 + 4*i**4 + 0*i**4 - 3*i**4 + 4*i**4 + 5*i**4)*(-i + i + i).
6*i**5
Expand (k**2 - 3*k**2 + 0*k**2)*(5*k**2 - 38*k**3 + 2*k**3 - 4*k**2) + 2*k**5 - k**2 + k**2.
74*k**5 - 2*k**4
Expand 3941 - 78*y - 3941 - 5 + 5 + 4*y + (2*y + 0*y - 3*y)*(-1 - 3 + 2).
-72*y
Expand 6*z**2 - 18*z**4 + 35*z**4 - 15*z**4 + (-2 + 2 - 2)*(2*z**4 + 3*z**4 - 6*z**4) + 2*z - z**4 - 2*z - 3*z - 2*z**4 + 3*z.
z**4 + 6*z**2
Expand m**5 + 2*m**3 + 194*m**2 - 1 - 194*m**2 + (m**4 + 0*m**4 + 10*m**4)*(6*m - 2*m - m).
34*m**5 + 2*m**3 - 1
Expand 36*y + 28*y - 75*y - y - y + y + (-4 + 4 - 1)*(1 - 1 - y) - 2*y + y - y - 3*y + 0*y + 2*y.
-14*y
Expand 2*o**3 - 4*o**3 - o**3 + (-8 + 3*o**2 + 8)*(-3 + 3 + 3*o) + 8*o**3 - 9*o**2 + 0*o**2 - 7*o**3.
7*o**3 - 9*o**2
Expand (-6*q + 0*q + 3*q)*(32872 + 2*q - 32872 + 72*q**2).
-216*q**3 - 6*q**2
Expand (0 - 2 + 3)*(200 + 134*k + 205 - 407).
134*k - 2
Expand (-2 + 2 - 2)*(7*p - 5 + 5) + 63*p + 24*p - 3*p + p - p - 2*p + (1 - 1 - 2*p)*(-4 + 0 + 5) - 5*p + p + 3*p + (-2 - 1 + 2)*(-2*p + 2*p - p).
66*p
Expand (6*b - 4*b - b + (12 - 10 - 10)*(3 - 3 + 2*b))*(7*b**2 + 0*b**2 + 0*b**2).
-105*b**3
Expand (-1 + 3 - 1)*(-2*m - m + m - m - 1 + 1 + 4*m - 3*m + 0*m + (-4 + 2 + 1)*(-4*m - 2*m + 4*m) + 21*m - 17*m + 21*m).
25*m
Expand -88*j**4 + 213*j**4 + 65*j**4 + 233*j**4 + (j**3 - 4*j**3 + j**3)*(-2*j - 2*j + 2*j) + 0*j**4 + 4*j**4 - 2*j**4.
429*j**4
Expand -c**3 + 2*c**3 - 3*c**3 + (1 - 2*c**2 - 1)*(2*c + 2*c - 3*c) - c**2 - 2*c**3 + c**2 + (-1 + 1 - 4*c)*(2*c**2 - 5*c**2 + c**2) - c**3 + 51*c**2 - 51*c**2.
c**3
Expand -c**5 + 0*c**5 - c**5 + ((6*c**4 - 4*c**4 - 10*c**4)*(c + 3*c - 3*c) + (5 - 1 - 3)*(0*c**5 + 0*c**5 + 2*c**5))*(5 - 3 - 5).
16*c**5
Expand (3*x - 3*x + x)*(-4*x - 2 + 2) + 0*x**2 + 0*x**2 - 2*x**2 + 3*x**2 + 5*x**2 - 3*x**2.
-x**2
Expand (23 - 186 + 0)*(3 + 2*w - 3 - 2).
-326*w + 326
Expand (-2*f - f + 2*f)*(-4*f - 8*f - 4*f) - f**2 + 2*f**2 + 0 - 2 + (0*f**2 + 4*f**2 - 2*f**2)*(1 - 1 + 1).
19*f**2 - 2
Expand (86*j - 20*j + 215*j)*( | {
"pile_set_name": "DM Mathematics"
} |
be x(-1). Let i(f) = o*b(f) + r(f). Determine i(-5).
-12
Let g be (198/135 + (-28)/35)*12/160. Let y(h) be the second derivative of h**3 + 1/2*h**2 + g*h**5 - 7/12*h**4 + 17*h + 0. What is y(6)?
1
Let r(j) be the first derivative of 5*j**3/3 + j**2/2 - 113. Suppose 3*h - 5 = -2*o, 0 = -2*h - 2*o + 6 - 0. What is r(h)?
4
Let j(y) = -y**3 - 6*y**2 - 13*y - 19. Let c(s) = -s**3 - 17*s**2 - 46*s - 244. Let g be c(-15). What is j(g)?
1
Let f(w) be the second derivative of 5*w - 5/2*w**2 + 0 - 1/6*w**3. Suppose -10 = 3*y + z, -5*z + 44 = -5*y - 6. Determine f(y).
0
Let x(v) = v**3 + 44*v**2 - 46*v - 16. Let o be x(-45). Suppose 7*l = o*l + 88. Let c(n) = n**3 + 4*n**2 + 4. Calculate c(l).
4
Let x(i) = i**2 + 11*i + 10. Let s = 179 - 112. Let r = -19 + s. Let o = r - 57. Determine x(o).
-8
Let h(a) be the second derivative of -3*a**3/2 + 219*a**2/2 - 3*a + 823. Calculate h(26).
-15
Let m(g) = -2*g - 7. Let r be m(-6). Let b = -526 - -527. Let a(y) = -y - 1. Let s(l) = 6*l - 3. Let p(c) = b*s(c) + r*a(c). Give p(7).
-1
Let x(v) = -1087 - 11*v + 515 + 572. Calculate x(2).
-22
Let b(d) = -2*d**2 + 1. Let t(g) = -g**3 - 20*g**2 + 5*g - 67. Let f(c) = 5*b(c) - t(c). Give f(-11).
6
Let q(a) = 14*a + 6. Let g(i) = -i**2 - 28*i - 164. Let o be g(-8). Calculate q(o).
-50
Let z(v) = -v**3 + 3*v**2 - v + 2. Let p be z(3). Let i be (1 + p)/(-5*4/(-20)). Let w(d) be the second derivative of -d**4/12 - d**2 + 2*d. Calculate w(i).
-2
Let m(f) be the third derivative of -f**6/60 - f**5/10 + 5*f**3/6 - 181*f**2 + 4*f. Determine m(-4).
37
Let a(b) = -b - 7. Let w be (5 + -13)*1/(-2) + -4. Suppose -4*u - 12 = d, u + w + 3 = 0. Suppose -5*y - 10 = 0, -2*y = 5*c + 4 - d. Calculate a(c).
-7
Let k be (4 + -2)*9/6. Let o(q) = 4 + 5*q**2 + 7 - 6 - 3 - k. Let x be (-9)/6*(-2)/3. Give o(x).
4
Let y(c) = -c**3 + 9*c**2 - 9*c + 13. Let t be y(8). Suppose t*a + 2*s - 43 = -0*s, 2*s = -4*a + 36. Let i(z) = z**3 - 7*z**2 + 2*z - 6. Calculate i(a).
8
Let a be (1458/36)/27 + ((-15)/2)/5. Let f(u) be the third derivative of -1/24*u**4 - 1/120*u**6 + 0 + a*u**5 - 1/2*u**3 + 0*u - 12*u**2. What is f(0)?
-3
Let u(y) be the second derivative of -y**3/6 + 3*y**2/2 - 1638*y. Suppose j = a - 7, 0 = -j + 6*j + 5*a + 35. Calculate u(j).
10
Let i(n) be the third derivative of n**5/60 - n**4/8 - 5*n**3/6 - 5*n**2 - 82*n. Give i(-1).
-1
Let v(y) = -y**2 - 16*y - 47. Let l = 14962 + -14974. What is v(l)?
1
Let n(c) = 8*c**2 + 4*c + 8. Let w(l) = l**2 + 1. Let p be (-7329)/(-84) - (-2)/(-8). Let o = -81 + p. Let a(b) = o*w(b) - n(b). What is a(-2)?
-2
Let j(c) be the third derivative of 0*c - 1/12*c**5 + 1/120*c**6 - 1/3*c**4 + 4*c**2 + 0 + 7/6*c**3. Calculate j(5).
-33
Let m(i) = -i**2 + 8*i - 8. Suppose -7*r = -4*r - 6. Suppose -3*u = -3*k - 48, 3*u + 2*u - 95 = r*k. Let p be (-2)/6*(0 - u). Give m(p).
-1
Let y(b) = b + 5. Let p = 33 - 46. Let t = 18 + p. Suppose -l = -4*o - 1, -3*l - 5*o = 9 + t. Determine y(l).
2
Let f = -2854 - -2845. Let z(x) = 4*x**2 + 7*x. Let t(w) = 9*w**2 + 13*w + 1. Let r(h) = -3*t(h) + 7*z(h). Calculate r(f).
-12
Suppose 5*h = -4*s + 53, -1351 = s + h - 1362. Suppose 0 = -2*w + f + 11, -3*w - 4*f + 33 = -0*w. Let i(n) = -2 + w - 3 - 3*n. Determine i(s).
-4
Let b(k) = 2*k**2 - 227*k - 10389. Let u be b(-35). Let m(h) = -3*h**2 + 3. Let g(c) = -7*c**2 + 6. Let p(n) = 2*g(n) - 5*m(n). Determine p(u).
33
Let n(k) be the second derivative of -k**5/20 - k**4/12 + 8*k**3/3 - 13*k**2 - 2*k - 497. Give n(-5).
-6
Let v(k) = -15*k**2 + 16*k + 11*k - 17*k - 15*k + 7. Give v(3).
-143
Let q(s) be the third derivative of -s**7/840 + 7*s**6/180 - s**5/40 + 5*s**4/8 + 55*s**3/3 - 235*s**2. Let c(j) be the first derivative of q(j). Give c(14).
-27
Let t(s) = -2*s - 7. Let l(a) = 2*a + 2. Let r(u) = 25*u + 28. Let w(o) = 4*l(o) - r(o). Let m be w(-1). Calculate t(m).
-1
Let v(l) = l**2 - 25*l + 53. Let f be v(23). Let g(w) = -w + 12. Determine g(f).
5
Let y(z) = -z**3 + 25*z**2 - 95*z - 74. Let w be y(20). Let u(o) = 2*o**2 - 50*o - 55. Determine u(w).
-3
Let g(m) = m - 30. Let p be (2277/115 + -19)*(-15)/(-2). What is g(p)?
-24
Let p(s) = s - 1. Let u(k) = k**3 + 5*k**2 - 7*k + 6. Let f be u(6). Suppose 6*c + 0*c - f = 0. Let n = -63 + c. Determine p(n).
-4
Let z = -22 - -10. Let m = z + 10. Let l(t) = -63*t**2 - 3*t + 65*t**2 - t + 3 + 6*t. Calculate l(m).
7
Let u(m) be the first derivative of -m**3/3 - 15*m**2/2 - 9*m + 1. Suppose 21*n - 179 + 114 = -359. Calculate u(n).
5
Let j(b) be the first derivative of b**3/3 - 4*b**2 - 3*b - 5. Suppose x - 28 = 4*k, 0*k + 44 = 2*x - 4*k. Suppose -11 = f - x. What is j(f)?
-18
Let s(t) = -5*t - 3*t**2 - t**3 + 2*t**2 + 3*t + 1 + 3*t. Suppose 6*d = 21*d + 30. Calculate s(d).
3
Let z(a) = -6*a + a - 2 + 0*a. Let m(s) be the third derivative of -s**5/60 + 7*s**4/24 - 5*s**3/2 + 33*s**2. Let u be m(3). Give z(u).
13
Let d = -17 - -13. Let b(r) be the first derivative of -r**5/120 + 16*r**3 + 2. Let p(i) be the third derivative of b(i). Determine p(d).
4
Let s(d) = -4 - 8 + d + 4 - 10. Let t be s(14). Let y(v) = -4*v - 2*v + 5*v - 4. Determine y(t).
0
Let x(k) = k**2 + 9*k - 217. Let f be x(11). Let s(i) be the third derivative of -i**5/60 + i**4/8 + i**3/6 - 2*i**2. Determine s(f).
1
Let p(u) = u**3 + 3*u**2 - 2*u. Suppose 0 = -5*q - 5*y - 10, -q - 420*y = -421*y - 8. Give p(q).
48
Suppose -61*n - 450 = -694. Let o(h) = h**2 + 2*h - 12. Determine o(n).
12
Let v(i) = i**3 - 11*i**2 + 9*i + 7. Let o be 2/8 + (-959)/28. Let k = -24 - o. Let u be v(k). Let l(q) = -q + 1. What is l(u)?
4
Let b(h) = -2*h**2 + 2 + 0*h**2 + h**2 - 5*h. Suppose 0 = 4*a - 5*o + 44, 52*a + 9*o - 30 = 51*a. Calculate b(a).
-4
Let t be -2*(-6)/(5 - 2). Suppose 3*x - 22 = t*v, -v - v + 4*x - 6 = 0. Let j(g) be the first derivative of -g**3/3 - 9*g**2/2 - 10*g + 5. Calculate j(v).
4
Let g(m) be the second derivative of -29*m**6/360 - m**5/120 - 23*m**3 - 51*m. Let y(q) be the second derivative of g(q). What is y(-1)?
-28
Let j(b) be the first derivative of -120 + 1/3*b**3 + 5*b - 5*b**2. Determine j(5).
-20
Let s(o) = o**2 + o - 207. Let u be s(-15). Let y(t) = 11 + u*t + 21 - 15 + 13. Calculate y(-12).
-6
Suppose 25 = 7*p - 2*p. Let q be (6/15)/((-1)/p). Let d(g) be the second derivative of g**4/6 + g**3/3 + 3*g**2/2 + 138*g. Give d(q).
7
Let v(b) = -b + 9. Let u(j) = -j. Let a(p) = -3*u(p) + v(p). Let o(f) = -f**3 - 11*f**2 - 5*f + 27. Let n be o(-12). Let s = -238 + n. Give a(s).
-5
Let p(n) = -n**3 - 16*n**2 + 19*n + 75. Suppose 22*v - 51 = -21*v + 46*v. Give p(v).
41
Let d(y) be the first derivative of y**5/20 - 7*y**4/12 - 13*y**3/6 + 6*y**2 - 100*y + 115. Let g(f) be the first derivative of d(f). Calculate g(8).
-28
Let d(y) = 4*y**3 - 2*y**2 + y - 3. Let z(i) = -5*i**3 + 3*i**2 - 3*i + 3. Let w(a) = 3*d(a) + 2*z(a). Let j = -16 - -14. Give w(j).
-13
Let x be 11/(-2 - (-2 + 1)). Let z(j) = -5*j + j + 5 + 3*j - 11 + 2. What is z(x)?
7
Let l be (-4)/1 - (-2 + -2) - -10. Let j(t) = t**2 - 15*t + 35. Determine j(l).
-15
Suppose 2*a - 415 = -5*p, -a - 5*p = -4*a + 685. Suppose -2*x - 5*d = 76, -a = 6*x - x + 5*d. Let c = -50 - x. Let k(h) = -h**3 - 3*h**2 - 2*h + 2. Give k(c).
2
Let n = 531 + -421. Let t be n*4/32 + 18/(-24). Let w(l) = l**2 - 13*l + 11. Calculate w(t).
11
Let v(z) = 2*z + 232424*z**2 - 3*z**3 - 5 - 232433*z**2 - 2. Give v(-3).
-13
Let h(k) = -2*k**3 + 4*k**2 + 6*k - 9. Let g(i) = 151*i**2 + 1055*i - 10. Let l be g(-7). Calculate h(l).
-49
Suppose 0 = -13*o + 1443 + 650. Let x(f) = 0 - o*f + 158*f + 0. Let m(y) = y**3 + y - 1. Let w be m(0). Calculate x(w).
3
Let c(k) = k**3 + 3*k**2 + k. Suppose 52 = -7*p - 53. Let j be 3 + p/6 + 14/(-4). Calculate c(j).
-3
Let l(z) = 9*z + 4. Let k(p) = 3*p + 4 - 2*p + 0*p - p + 9*p. Let f(b) = -5*k(b) + 4*l(b). Calculate f(-3).
23
Let b(q) = -q**2 + 19 - 7*q - 2*q**2 + 3 + 32 + 2*q**2. Calculate b(5).
-6
Let r(x) be the third derivative of -x**4/12 + 6*x**3 - x**2 - 115*x. What is r(15)?
6
Let h(t) = -200 + 1617*t - 4857*t + 1619*t + 1613*t. What is h(-25)?
0
Let s = -7361 - -7360. Let q(d) = -d**3 - 2*d**2 + 2*d + 3. Determine q(s).
0
Suppose -6 = 135*n - 137*n. Let v(j) = -j**3 - j**2 + 2*j + 3. What is v(n)?
-27
Let z(q) = -q**2 + 16. Let s be z(8). Let l = s + 50. Suppose -l*h - 15 = -u, 12 = -h + 4*u - 2*u. Let y(o) | {
"pile_set_name": "DM Mathematics"
} |
9 + -0.359. Let y = x - -0.104. What is y rounded to 2 decimal places?
0.31
Let k = -44889.179 + 44912. Let x = k - 0.281. What is x rounded to zero dps?
23
Suppose -t + 0*z - z + 4 = 0, 5*z = 5*t + 20. Suppose t*s = 2*s - 7496. Let u = 118 - s. What is u rounded to the nearest one hundred?
-3600
Let i = -2184.3017 - -4.1417. Let h = -1988 - i. Let v = 196 - h. What is v rounded to 1 dp?
3.8
Let u = 209.4789759274 + -209.479. Round u to seven decimal places.
-0.0000241
Let v = 2971 + -2970.9982377. Round v to five decimal places.
0.00176
Let i = -2272595 + 2272560.99999744. Let r = -76 + 42. Let f = r - i. Round f to 7 decimal places.
0.0000026
Let h = 0.094 + -65.094. Let r = 1321.5 + -1216. Let f = r + h. Round f to the nearest integer.
41
Let r = 6751.0005287 - 6751. What is r rounded to five decimal places?
0.00053
Let o = 17 + -12. Suppose -r - 36675276 = o*r. Let x = 4282546 + r. Round x to the nearest one hundred thousand.
-1800000
Let j = -27027.00092 - -27028. Round j to one decimal place.
1
Suppose 0 = -54*j + 58*j - 19645468. Suppose -j = 5*d - 866337. Let k = -418006 - d. What is k rounded to the nearest ten thousand?
390000
Let l(u) = -2*u**2 + 13*u - 12. Let c be l(5). Suppose -c*z + 3259 = -2741. Let v be (-306 - 4)/((-2)/z). What is v rounded to the nearest 10000?
310000
Let v = 103.52718 + -103.59. Round v to 3 decimal places.
-0.063
Let b = -1403.853 + 1413.5. Round b to one dp.
9.6
Let d = 24455.9999901797 - 24456. Round d to seven decimal places.
-0.0000098
Let d = 270.6 + -25.6. Let b = d - 244.999999473. Round b to seven decimal places.
0.0000005
Let w = -4933.04 + -7.36. What is w rounded to the nearest ten?
-4940
Let j be (-846 - 11)/((-1)/(-681))*-1. Suppose 62197 = m + 5*v + j, -4*v = 2*m + 1042816. Round m to the nearest one hundred thousand.
-500000
Let n = 1241.06 + -1240.26529. Round n to 3 dps.
0.795
Let q(l) = 10077461*l**2 - l. Let f be q(-1). Let p = 18559035 - f. Let o = p - 2611573. Round o to the nearest 1000000.
6000000
Let y = 45 + -44.75. Let m = 46.75 + y. Let t = -46.9938 + m. What is t rounded to three decimal places?
0.006
Suppose -50*f - 87498 - 40614 + 37712 = 0. What is f rounded to the nearest one hundred?
-1800
Let u = 3.93 - 2.93. Let g = 109989 + -109987.99974. Let t = u - g. What is t rounded to four decimal places?
-0.0003
Let d = 55 + -30. Suppose 23*n + 6 = d*n. Suppose -2*l + 2*g = -69994, n*l - 96574 = 4*g + 8414. What is l rounded to the nearest 1000?
35000
Let h = -1809 - -3787. Let i = h + -1977.999994421. Round i to six dps.
0.000006
Let w be ((-1792)/(-24))/(2/7800). What is w rounded to the nearest 10000?
290000
Let b = -79.066 + 0.066. Let n = b - -307. Let l = 230.33 - n. Round l to one decimal place.
2.3
Let o(s) = 12 - 10*s**2 + 4*s**2 + 7*s**2 + 9*s**3. Let w be o(6). Let l = -158008 - w. Round l to the nearest 100000.
-200000
Let y = -34222.059 + 34221.732000094. Let h = y + 0.327. Round h to 7 decimal places.
0.0000001
Let j = -1032.5 - -630. Let r = -319 - j. Let w = -60 + r. What is w rounded to the nearest integer?
24
Let v = 1406795 + -1438203.92. Let c = 31409.1190131 + v. Let y = c - 0.199. What is y rounded to 6 decimal places?
0.000013
Let m = -36.656828 + 36.69. What is m rounded to 3 dps?
0.033
Let d(g) = 6618728*g + 352. Let x be d(16). Round x to the nearest one million.
106000000
Let d be 6 + (-108)/16 + (-19087257)/84. Round d to the nearest 10000.
-230000
Let n = -33 + 52. Let v = 49 + n. Suppose 124 + 136 = 3*l - u, -l + 5*u + v = 0. What is l rounded to the nearest ten?
90
Let z = -87672.2 - -87677.94101. Let p = z + -5.777. What is p rounded to three dps?
-0.036
Let p = 155.2 + -88. Let l = 68.661 - p. Let k = l - -0.029. What is k rounded to one dp?
1.5
Let z = -448 + 175. Let i = z - -272.9999689. What is i rounded to six decimal places?
-0.000031
Let d = 12045.06 + -12143. What is d rounded to the nearest 10?
-100
Let l = 38 - 34.62. Let t = 17.87 - l. Round t to one dp.
14.5
Let u = 3.76 + 171.24. Let z = u - 175.276. What is z rounded to 1 decimal place?
-0.3
Suppose -6*v + 30 + 228 = 0. Let j be v/9 + (2/9)/1. Let y be (-20)/j + (-16776)/(-4). Round y to the nearest 1000.
4000
Let z be 27/(-6)*(-1 + -1). Let a be 1075198/6 + 7/21. Suppose -z*c + a = -5*c. What is c rounded to the nearest 1000?
45000
Let u = 863.3 + -863.30008524. Round u to six dps.
-0.000085
Let o = 13.428 - 13.4265857. What is o rounded to five dps?
0.00141
Let p = 25104.999932947 + -25105. Round p to 6 decimal places.
-0.000067
Let g = 19.254 - 19.25399896685. Round g to 7 dps.
0.000001
Let u = -2097.4 + 1214. Let l = -726 - u. What is l rounded to the nearest 10?
160
Let x = -284 - -322.82. Let b = 4.5 - 44.5. Let m = x + b. What is m rounded to one dp?
-1.2
Let f(w) = 3*w**2 - 5*w. Let q be f(2). Suppose -5*y - 3*d + q*d - 34800003 = 0, 20880003 = -3*y - d. Round y to the nearest 1000000.
-7000000
Let z = 5.3008 - 230.2908. Round z to the nearest integer.
-225
Let o = -23760 + 10948. Let b = o - -1805. Let g = b - -6407. Round g to the nearest 1000.
-5000
Let z = -24764779.99841 - -24764895. Let o = z + -115. What is o rounded to three decimal places?
0.002
Let n be (2/1 - 8) + -3 + 92229. What is n rounded to the nearest 10000?
90000
Let g = -0.089144 + -18.272656. Let s = g + 18.4. Round s to 3 dps.
0.038
Let h = 14 - 15.44. Let a = h - 209.56. Let j = 196.9 + a. What is j rounded to 0 dps?
-14
Let s = 0.2 + -0.4. Let r = 4321 - 4320.79965. Let b = s + r. Round b to 4 decimal places.
0.0004
Suppose 4*z = -4*i + 49068396, -14*i + 36801327 = 3*z - 17*i. Let c = z + -19378104. What is c rounded to the nearest one hundred thousand?
-7100000
Let r = -83241.0000042881 + 83241. What is r rounded to seven dps?
-0.0000043
Let g = -2555463 + 1732856. Let j = 822620.99942 + g. Let f = 14 - j. What is f rounded to 4 dps?
0.0006
Let s = -42851.9999914379 - -42852. What is s rounded to seven decimal places?
0.0000086
Let q = -46.52 + 69.725. Let t = q - 23. Let m = -0.121 - t. What is m rounded to 1 dp?
-0.3
Suppose 2*v + 59 = 4*a + 9, 0 = -4*a - 2*v + 38. Let z be (-12)/((33/(-283500))/a). What is z rounded to the nearest ten thousand?
1130000
Let y be 26935/(-10)*36 - -6. What is y rounded to the nearest one thousand?
-97000
Let a = -405 - -412.892. Round a to the nearest integer.
8
Let h be 6/(-9) + (-62)/(-3). Suppose h = 14*o - 9*o. Let b be 2500/(o - (-183195)/(-45800)). What is b rounded to the nearest one million?
23000000
Let j = -45392 + 45392.00025857. Round j to five dps.
0.00026
Let m = -3851 + 30147. What is m rounded to the nearest 100?
26300
Let l = 1209 - 1208.980432. Let y = -0.019 + l. Round y to 4 decimal places.
0.0006
Let s = 10104 - 10103.989795. What is s rounded to four dps?
0.0102
Suppose 0 = 11*y + 60 - 5. Let c be -10 + (2 - y) + -123899997. What is c rounded to the nearest one million?
-124000000
Suppose h + 12045 = 5*u - u, -3*h = 2*u - 6005. Suppose 20*q = 25*q - u. What is q rounded to the nearest 100?
600
Let t = -2.6 - -8.4. Let f = t - 16.928. Let i = f - -11. Round i to 2 decimal places.
-0.13
Let s = -494.236 + 494. What is s rounded to the nearest ten?
0
Suppose 0 = -4*h + 17 + 35. Let p = -87 - h. Let y be (80/p)/((-2)/10) + -1134. Round y to the nearest one hundred.
-1100
Suppose -o + a + 3 = -15, a = 5*o - 102. Suppose o = -3*f - 5*d, 2 = -4*f + d - 3. Let w be (-21)/7 + -1 + (f - 63). Round w to the nearest 10.
-70
Let x = -0.0638 - -0.0348. Let k = x + 0.0290015. What is k rounded to five dps?
0
Let t = -0.49 + 0.36. Let l = -0.1298576 - t. What is l rounded to five decimal places?
0.00014
Let j = 238948.0825 - 239190. Let b = 242 + j. Round b to 2 decimal places.
0.08
Let g = -213.9 + 154. Let x = g - -11.9. Let m = 48.24 + x. What is m rounded to 1 decimal place?
0.2
Let y = 109291882 + 125855919. Let j = y + -235147676.000001. Let k = j + -125. What is k rounded to five dps?
0
Let b = -10.01544 + 9.955. Round b to three decimal places.
-0.06
Let c(n) = 4 + 42*n**2 - 65*n**2 - 50*n**2 - 28*n**2 + 5*n. Let h be c(-1). Round h to the nearest ten.
-100
Suppose -b + 2*z + 4 = 5, 4*b - 2*z = 8. Suppose -b*n = 0, -300 = 3*x + 8*n - 4*n. Let g be x/(-2*5/10). Round g to the nearest one hundred.
100
Let u = -457.9 - -458.23999. What is u rounded to 2 | {
"pile_set_name": "DM Mathematics"
} |
. Let f = 37 + -37. What is the remainder when 7 is divided by q(f)?
2
Let x be (-6 - 217/(-35)) + (-1)/5. Suppose 2*a + 4 = x, 2*a = 2*n + 3*n - 79. Let g = -45 - -87. What is the remainder when g is divided by n?
12
Let h(m) = 3*m**2 + 7*m - 6. Let y be h(9). Suppose -2*r = -6*r + y. Calculate the remainder when r is divided by 39.
36
Let z be ((-20)/6)/(16/(-24)). Let t = 29 - z. What is the remainder when t/18*(-45)/(-2) is divided by 8?
6
What is the remainder when (-2194)/(-10) - (-128)/(-320) is divided by 80?
59
What is the remainder when 8/(220/525 + (-4)/14) is divided by (-1)/(2 + -1 + (-96)/93)?
29
Suppose -2*c + 294 + 22 = 0. What is the remainder when c is divided by 16?
14
Let c(h) = h**3 - 7*h**2 + 11*h - 13. What is the remainder when c(6) is divided by 16?
1
Let w = 192 - 180. Calculate the remainder when ((-162)/(-4))/(2/4) is divided by w.
9
Let b = -1858 - -1887. Calculate the remainder when b is divided by (-1 + 33)/2 - 0.
13
Let y(g) = g**3 - 2*g**2 - 6*g - 30. Suppose 3*c - 194 = -20. Calculate the remainder when c is divided by y(5).
13
Suppose 3*o = -4*b + 1360, -26*b + 21*b - 3*o = -1697. What is the remainder when b is divided by 20?
17
Let k = -1 - 1. Let l(c) = -8*c**3 - 3*c**2 + 3. Let n be l(-1). Calculate the remainder when (n/(-24))/(k/42) is divided by 3.
1
Suppose 4*v - 226 = 3*m, 0 = 7*m - 2*m + v + 415. Let w = m + 121. Suppose -4*i + 2 = y - 2*y, 0 = i - 3. What is the remainder when w is divided by y?
9
Suppose -380*o - 12 = -386*o. Calculate the remainder when 20 is divided by o.
0
Suppose 5*v = w, -v = 2*v. Suppose w = -4*f - 19 + 67. What is the remainder when 59 is divided by f?
11
Let l(h) = h**3 + 13*h**2 + 11*h - 14. Let a be l(-10). Let c = a - 63. Calculate the remainder when c is divided by 38.
37
Let p = -677 - -754. What is the remainder when p is divided by -3 - -3 - 1*-21?
14
Suppose -2 = -4*i - 22, -3*s + 4*i + 35 = 0. Suppose -80 = -2*p - 3*l, 3*p - 190 = -2*p - s*l. Calculate the remainder when p is divided by 12.
10
Let v = -134 - -131. What is the remainder when (592/(-6))/(3/(-6 + v)) is divided by 11?
10
Suppose z = -5*z + 288. Calculate the remainder when z is divided by 31.
17
Suppose 4*d + 31 = 87. Suppose 5*j - 66 = d. Calculate the remainder when 47 is divided by j.
15
Let b(z) = z**2 - z + 4. Calculate the remainder when 35 + (4/6)/((-38)/(-171)) is divided by b(3).
8
Suppose -3*d = -74 + 14. Suppose 17*w - d*w + 126 = 0. Calculate the remainder when w is divided by 11.
9
Let v(k) = -4*k - 10 - 2 - 6 - 12. Let b(a) = a + 1. What is the remainder when v(-9) is divided by b(2)?
0
Let b(x) = 67*x. Suppose -15 - 2 = -m. Calculate the remainder when b(1) is divided by m.
16
Let d(v) = -46*v - 10. Let q be d(4). Calculate the remainder when (2 - 3/6)/((-3)/q) is divided by 25.
22
Suppose -5*b - x + 1 = -16, 4*b - 6 = 3*x. Suppose 5*t + c + 12 = 0, -5*t + 0*t - 4*c = b. Calculate the remainder when 5 is divided by 3 - ((-3)/t - 0).
1
What is the remainder when 103 is divided by 31/2 - (-3 + (-42)/(-12))?
13
Let h(a) = 12*a - 4. Let s(l) = 8*l - 3. Suppose -6 - 14 = -4*n. Let g(u) = n*h(u) - 7*s(u). Calculate the remainder when 67 is divided by g(4).
16
Let s = 926 - 812. Calculate the remainder when 680 is divided by s.
110
Suppose 0 = 5*i - 28 + 3. Suppose 0 = i*a - 97 + 17. Suppose 3*c - 3*n - 75 = 0, 3*c + 2*n - 4*n = 80. What is the remainder when c is divided by a?
14
Suppose 3*g + 0*f = -4*f, -4*g + 4*f = -28. Suppose 5*j - 37 = 5*v + 43, -j + 28 = 5*v. Calculate the remainder when j is divided by g.
2
Suppose -u + 5*s = -27, -3*u + 16*s - 15*s = -39. Calculate the remainder when u is divided by 11.
1
Calculate the remainder when 741 is divided by (960/150)/((-4)/(-15)).
21
Let i be 1/4 + (-719)/(-4). Suppose l = -l + i. What is the remainder when l is divided by 24?
18
Let t = -98 + 117. Let d = 135 + -69. Let c = d + -30. Calculate the remainder when c is divided by t.
17
Let t = 527 - 319. Calculate the remainder when t is divided by 42.
40
Let b = 21 - -16. Suppose -b = 2*c - 127. Calculate the remainder when c is divided by 23.
22
Suppose -2*n = -5*n + 15. Suppose 0 = -7*p + p + 66. Calculate the remainder when p is divided by n.
1
Let r(c) = -c**3 + 11*c**2 - 6*c - 8. Calculate the remainder when r(9) is divided by 22.
12
Let q(y) = 10*y + 284. Calculate the remainder when 509 is divided by q(-25).
33
Suppose 0 = 4*l - 3*a - 46, l - 2 = -3*a + 2. Suppose -l = -v + 10. Calculate the remainder when 36 is divided by v.
16
Suppose -52 = -5*d + 4*c, -4*d + 42 = -4*c + 2. What is the remainder when 17 is divided by d?
5
Let o = -2 - -1. Let r = 10 - o. Suppose 2*u + 3*b = -3*u + 147, 0 = -4*u - 4*b + 116. Calculate the remainder when u is divided by r.
8
Suppose -3*k - 14 = -5*v - 42, -v = k - 20. Let i be (-9)/15 + k/10. Suppose -3 = -o - i. Calculate the remainder when o is divided by 2.
0
Let z = 54 - 27. Let x = 77 + 28. What is the remainder when x is divided by z?
24
Suppose -6*r - 1 = 11. Let y = 15 + r. Calculate the remainder when 51 is divided by y.
12
Let b(v) = 4*v**3 + v**2 + 3*v - 1. What is the remainder when b(3) is divided by 7?
6
Let t = -212 + 273. Calculate the remainder when t is divided by 9.
7
Suppose -k = -3*g - 855, 3*g + 142 = 2*k - 1574. Calculate the remainder when k is divided by 9.
6
Calculate the remainder when 815 is divided by ((-7)/(-21))/((-1)/(-51)).
16
Let x(i) = -i**2 + 6*i + 2. Let c be x(6). Suppose 0 = -5*f + c*b + 45, -3*f - 4*b = -4*f + 9. Let l = 2 + f. What is the remainder when 29 is divided by l?
7
Let j = -2366 + 2485. What is the remainder when j is divided by 99?
20
Let t(s) = 272*s + 6. What is the remainder when t(1) is divided by 57?
50
Let l(h) = -16*h - 28. Let k be l(-10). Let n = k + -89. Calculate the remainder when n is divided by 5.
3
Let z(f) = -5*f - 26. Suppose 3*o - 78 = 3*m, -2*m + m - 3 = 0. Calculate the remainder when z(-14) is divided by o.
21
Let l = 153 + -92. Let u = 81 - l. Calculate the remainder when 63 is divided by u.
3
Suppose 0*s - 114 = -3*m - s, 0 = -3*m + 3*s + 102. Calculate the remainder when m is divided by 36.
1
Suppose -2*l = -4*l - 24. Let q = 17 + l. Suppose 16 = -q*v + 9*v. What is the remainder when 17 is divided by v?
1
Let f(k) = 2*k**3 + 26*k**2 + 20*k + 51. Let j(w) = w**3 + 13*w**2 + 10*w + 26. Let q(a) = 2*f(a) - 5*j(a). What is the remainder when q(-13) is divided by 26?
24
Suppose -18 = -6*c - 6. Let g = 31 + -8. What is the remainder when g is divided by c?
1
Let b(p) = p**3 + 12*p**2 + 25*p - 4. What is the remainder when 43 is divided by b(-9)?
1
What is the remainder when (-80)/70 + 932/7 is divided by 20?
12
Let l(d) = 10*d**3 - 2*d**2 + 1. Let s be (-2 - (-8)/1) + -1. Suppose 0 = -s*v + 3 + 7. What is the remainder when l(v) is divided by 25?
23
Suppose i + 508 = -3*i. Let x = -58 - i. Calculate the remainder when x is divided by 14.
13
Let h(d) = -3*d + 13. What is the remainder when h(-11) is divided by (-8 + 0)/(-4) - (-5 - 1)?
6
Suppose -31 = -6*c + c - b, 0 = 2*c + 4*b + 2. Calculate the remainder when 34 is divided by c.
6
Let w(x) = x**3 + 12*x**2 - 15*x + 14. What is the remainder when (57/(-6))/(1/(-12)) is divided by w(-13)?
34
Suppose 0 = 5*t + 2*o - 120, 2*t + 3*t - o - 105 = 0. Calculate the remainder when t is divided by 8.
6
Suppose 42 = -2*c + 5*c. Suppose f = 197*y - 200*y + 37, -2*f = 3*y - 89. Calculate the remainder when f is divided by c.
10
Suppose 55 + 144 = 5*x - 2*b, -4*b - 111 = -3*x. Calculate the remainder when 161 is divided by x.
38
Let b(u) = u**2 - u - 26. Calculate the remainder when 70 is divided by b(8).
10
Let z(n) = -3*n - 133. What is the remainder when z(-56) is divided by 10 - 6/(-9)*3?
11
Suppose -4116 - 1560 = -11*a. Suppose -4*m + 0*z + a = -2*z, 2*z - 139 = -m. Let u = 16 + 17. What is the remainder when m is divided by u?
32
Let h(d) be the first derivative of -d**3/3 + 9*d**2 - 7*d - 2. What is the remainder when h(17) is divided by 2?
0
Let f = 198 + -192. Calculate the remainder when 15 is divided by f.
3
Let g(f) = 2*f**2 - 2*f - 6. Let k be 8/(-6)*3/1. Suppose -8*p + 0*p = -96. Calculate the remainder when g(k) is divided by p.
10
Let t(m) = 103*m - 192. Calculate the remainder when 1622 is divided by t(2).
12
Suppose f - | {
"pile_set_name": "DM Mathematics"
} |
f c?
6
Let b(l) = -2*l + 5*l - 4*l - 49*l**3 + 110*l**3 + l**2 + 1. Suppose -3*c - 2 = -0*r - 5*r, 0 = -4*r + 4. What is the units digit of b(c)?
2
Let o(p) = p**3 + 88*p**2 - 116*p - 395. What is the thousands digit of o(-79)?
4
Suppose 50 = 31*w - 12. Suppose -14*d + w*n - 1034 = -18*d, -4*n = -3*d + 803. What is the tens digit of d?
6
Suppose -3*t + 2*t + 33 = 0. Let z be ((-1)/((-2)/8))/(76 + -74). Suppose 0 = -4*d + 3*g - 7*g + 80, -t = -z*d + 5*g. What is the units digit of d?
9
Let q(r) = 5*r**2 - 99*r - 100. Let u(l) = l**2 - 20*l - 20. Let s(t) = -2*q(t) + 11*u(t). Let k be s(23). What is the hundreds digit of (1 + 195)*(-2 + k)?
1
Suppose 3*d + 3*q - 519 = d, d = -3*q + 252. Let b = 802 - d. What is the hundreds digit of b?
5
Let v be 3/(2*(0 - (-4)/1544)). Suppose 0 = -17*d + v + 2362. Let m = -86 + d. What is the units digit of m?
7
Suppose 69061 + 352331 = -372*n + 396*n. What is the tens digit of n?
5
What is the ten thousands digit of ((-15)/135 + (-184262)/117)*342/(-21)?
2
Let d be 2*10*8721/34. Suppose 0 = -4*q - x + d, 12*q + 5122 = 16*q - 3*x. What is the thousands digit of q?
1
Suppose 265*b = 59*b + 2979378. What is the hundreds digit of b?
4
Let u(b) = b**2 + 6*b + 20. Let g be u(-6). Let s(n) = n**3 - 20*n**2 + 2*n + 48. What is the units digit of s(g)?
8
Let f = -313 + 318. What is the tens digit of (9/f*-3)/((-6)/20)?
1
Suppose 15134 = -30*w - 10456. Let p = w - -998. What is the tens digit of p?
4
Suppose -332 = -48*d + 52*d. Let g = -71 - d. Suppose -5*y + g = -y, -682 = -5*v - 4*y. What is the units digit of v?
4
Let s = 165 + -21. Suppose -s = -8*a + 4*a. Suppose 2*y - a = 86. What is the tens digit of y?
6
Let o be 5/(-5)*(3 + -3). Suppose 12 = 6*s - o*s. Suppose 4*f - s*f - 3*x = 22, f - 21 = -x. What is the tens digit of f?
1
Let w be 1/(-5) - (-63)/90*6. What is the tens digit of w - (-55)/(-15) - 3524/(-12)?
9
Suppose -4*p + 8 - 12 = 0, 4*g - p = -1367. What is the tens digit of (-4*(-68)/24)/((-3)/g)?
9
Let r(q) = -q**2 - 18*q - 72. Let v be r(-10). What is the hundreds digit of (-1530)/(-4)*v/5?
6
Suppose 4*y - 20 = l + 154, -4*y = 0. What is the thousands digit of ((-2)/5 + l/(-10))*107?
1
Let g = -3263 - -17558. What is the units digit of g?
5
Suppose -10*p + 7214 + 9286 = 0. Suppose -p = -5*k - k. What is the tens digit of k?
7
Let s = 255 + -36. Suppose -5*b = -s - 11. Suppose -3 - b = -m. What is the tens digit of m?
4
Let d = 8351 - 4417. What is the tens digit of d?
3
Let i = -2633 - -7353. What is the thousands digit of i?
4
Suppose 15*c = 20*c - 95. Let r(a) = -80 + 159 - 66 + c*a. What is the units digit of r(6)?
7
Let y(q) = 353*q**2 - 405*q - 1214. What is the tens digit of y(-3)?
7
Let j(x) = -2*x + 36. Let y be j(12). Suppose -4*h + 8 = -4*r, 5*h - 4*h - y = 3*r. What is the units digit of -1 - h - -62 - (-1 + 4)?
1
Let z = -67 - -89. What is the tens digit of (-12)/(-8) - (-6127)/z?
8
Let n = 9422 + 4106. What is the units digit of n?
8
Suppose i - 18101 = c, -i + 18104 = 82*c - 80*c. What is the units digit of i?
2
Suppose 3468 = -6*j + 12*j. Let w = -376 + j. What is the units digit of w?
2
Let u(i) = -i**2 - 18*i - 29. Let f be u(-16). Suppose -2*j + f*j + 48 = 0. Let t = 138 + j. What is the units digit of t?
0
Let i(d) = -6540*d - 7815. What is the ten thousands digit of i(-11)?
6
Suppose -15*h = -12*h + 39. Let n(p) = p**3 + 7*p**2 + 4*p. Let m be n(-4). Let l = m - h. What is the units digit of l?
5
Let o(a) = -a**3 + 4*a**2 + 5*a - 8. Let u be o(4). Suppose 5*i + 34 = 4*l, i + 41 + u = 5*l. What is the units digit of (-2898)/(-154) + 2/l?
9
Suppose -4*m - 3 = -63. Suppose -l = -m*l - 2086. Let v = -74 - l. What is the units digit of v?
5
Suppose 10 = 2*v + m, 2*v - 17*m + 12*m = -14. Suppose 2153 = v*l - 2038. What is the tens digit of l?
9
Suppose 0 = -4*h - 162*u + 159*u + 27635, -3*h + 2*u = -20756. What is the hundreds digit of h?
9
Suppose 3 = 5*i - 3*t, 3*i + i + 2*t + 2 = 0. Suppose 14*v - 5*v - 72 = i. What is the units digit of v?
8
Let c(a) = a**3 - 2*a**2 + 9*a - 28. Let t be c(3). Suppose 0 = -t*v - 871 + 4503. What is the units digit of v?
4
What is the hundreds digit of (-3 - -49)*(10 - (-145)/10)?
1
Suppose 203*w = 204*w - 5*t - 11439, 34357 = 3*w - 5*t. What is the tens digit of w?
5
Let u(d) be the first derivative of 2*d**3/3 - 9*d**2 - 2*d - 29. What is the hundreds digit of u(-4)?
1
Let h(t) = 11 + 8*t**2 - 6 - 14*t + 13*t - t**3. Suppose -2*n = 2*n + 5*u - 1, -4*n + 13 = u. What is the tens digit of h(n)?
6
Let o = 453 - 319. Let r = -60 + o. Suppose 2*x + 2*j = 3*j + 120, -4*j - r = -x. What is the tens digit of x?
5
Suppose 0 = 57*t - 51*t - 47256. Suppose -8*q = -t + 2460. What is the tens digit of q?
7
Let h(f) = 5*f**2 - 263*f - 69. What is the ten thousands digit of h(90)?
1
Let d = 65760 + -17647. What is the units digit of d?
3
Let a(b) = -56*b**3 + 3*b**2 - 2. Let t be a(1). Let o be 35/(-7)*111/(-3). Let s = t + o. What is the units digit of s?
0
Suppose 986 = 3*x - 79. Suppose x = 2*n - 2*r - 235, -1210 = -4*n - 2*r. What is the hundreds digit of n?
3
What is the ten thousands digit of -303*((-1724)/30 - 292/(-365))?
1
Suppose -9*c - 258 - 1002 = 0. What is the hundreds digit of (984/15)/((-14)/c)?
6
Suppose -3*o + 22541 = 55*l - 50*l, 4*l = -o + 7516. What is the thousands digit of o?
7
Let z(v) = 84*v**2 - 2*v - 6. Let k be z(4). Suppose 3*t + 2*t = k. Suppose 0 = 24*f - 26*f + t. What is the hundreds digit of f?
1
Suppose 2*s - 3*x + 1 = 0, -4*x = 5 - 1. Let g be (-10)/(s + (-24)/(-9)). What is the hundreds digit of (-62)/6*(-5 + g + -4)?
2
Let f = 3294 + -3259. What is the units digit of f?
5
Suppose 0 = -f + 4*g - 5*g + 914, -2*f + 3*g = -1843. Suppose -3*m = -f - 1825. What is the units digit of m?
4
What is the units digit of -186*((-11816)/12)/7?
4
Let x = -3915 + 9855. Suppose -2*d = -17*d + x. What is the units digit of d?
6
Suppose 108 = 28*g - 15*g + 498. Let x = -57 - -233. Let v = x + g. What is the hundreds digit of v?
1
Let a be (-2)/(11308/3024 + -4 + 18/72). Let g = -106 + 48. Let b = a + g. What is the units digit of b?
1
Let c(y) = y**3 - 14*y + y**2 - 8*y + 16*y + 435. What is the units digit of c(0)?
5
Suppose -68*t - 41090 = -73*t. What is the hundreds digit of t?
2
What is the units digit of 112/(-80) - (-2321496)/90?
3
Let b = -13972 - -36683. What is the thousands digit of b?
2
What is the hundreds digit of 86788/14 - 2/14?
1
Let b(m) be the second derivative of 7*m**5/20 + 17*m**3/6 - 119*m**2/2 - 233*m. What is the thousands digit of b(6)?
1
Suppose -3*v = 4*r - 11, -2*v = -0*r - r + 11. Suppose -r*y = -1001 - 4714. What is the tens digit of y?
4
Let g(q) = -35*q - 3. Let c be g(-2). Let o be (-3 - 51/(-9) - 3)*-3. What is the units digit of (c + o)/(9/18)?
6
Let m be ((-795)/6 + 3)*8. Let h = m - -1781. What is the hundreds digit of h?
7
Let a = -8 - -28. Suppose a = 8*d - 18*d. What is the units digit of d/(-10) + (-1246)/(-70)?
8
Suppose -65 = -0*r + 5*r. Let h = r + 13. Suppose -2*k = -h*k + w - 160, -k + 80 = 5*w. What is the tens digit of k?
8
Let n = -33 + 37. Let f(x) = 4*x**3 + 6*x**2 + x - 1. Let r be f(n). Suppose -r = -2*i - 3*i. What is the tens digit of i?
7
Suppose 240*g + 57 = 3*f + 236*g, g = 4*f - 76. Let y = 61 - 118. Let q = f - y. What is the units digit of q?
6
Let y be (403/(-3) + (-76)/114)*3. Let l = y - -1003. What is the tens digit of l?
9
Let s = -86 - -86. Suppose s = -p + 3*c + 117, -6*c = 3*p - 3*c - 303. What is the hundreds digit of p?
1
Let j be 261/(-5) - 28/35. Let z = -71 - -153. Let g = j + z. What is the tens digit of g?
2
Suppose -2616 = -7*u + 373. Let o = u + -241. What is the hundreds digit of o?
1
Let b(k) = 3*k**2 - 91*k - 1226. What is the hundreds digit of b(107)?
3
Let s(a) = 106*a**2 + 3*a - 74. What is the units digit of s(7)?
1
Suppose 9*r + 0*r - r = 0. Suppose 2*z + 23*z - 17550 = r. What is the tens digit of z?
0
Let o(z) = -z**2 + 3*z + 646. Let s be o(0). Suppose -3*b + s = 3*g - 32, -5*g + 900 = 4*b. What is the hundreds digit of b?
2
Let c = 85244 - 48428. What is the units digit of c?
6
Let b = 15671 - -1980. What is the hundreds digit of b?
6
Let l(w) = -7*w - 1 + 8*w + 8. Let x = -2 + 2. What is the units digit of l(x)?
7
Suppose 5*r = -h + 14948, 5*r - 3*h = 4 | {
"pile_set_name": "DM Mathematics"
} |
1170/27)*-2*35)/1.
21
((-2)/(20/(-45)))/(4*4*5/800)
45
What is the value of 2*18/(-120)*(988/(-114))/26?
1/10
What is -736*(-15)/960*1?
23/2
(-261)/3654*((-28)/(-147))/(1/(-3))
2/49
Calculate ((-19472)/7302)/((24/171)/2).
-38
Evaluate (-930)/5*(-76)/12*(-64)/(-608).
124
Evaluate 26726/332*((-1188)/(-253))/9.
42
Evaluate (1*2*4)/(653/(-13713)*6/(-2)).
56
What is (-1083)/(-342)*(-7)/(-1197)*-9?
-1/6
Evaluate (-3)/225*(4/60*-5)/(7/(-42)).
-2/75
Calculate ((-270)/(-8775)*-221)/(((-4)/3)/(20/(-12))).
-17/2
(7/(-273)*-13)/((-84)/(-10836))
43
Evaluate (3/14)/(5*187*(-3)/(-2310)).
3/17
Evaluate (-2)/3*3*((-1335236)/(-17744))/(7/4).
-86
What is (-32)/11*(297/36)/((-48)/32)?
16
(8*(-1)/(-6))/(231/(5195421/(-476)))
-63
Calculate (-28)/((-60)/(43920/(-427))).
-48
What is the value of ((-301)/(-903))/((-3)/18*2)?
-1
What is (64/7888)/((-130)/1105)?
-2/29
What is (-4)/(-3)*((-11685)/76)/(-41)*8/1100?
2/55
What is the value of ((-50)/60)/(-2*35/(1470/28))?
5/8
Evaluate ((-1)/1)/(-1)*1981/(-9905)*(-156)/6.
26/5
(((-7680)/144)/(-32))/(5/(-57))
-19
What is ((-2)/504)/(7600/(-3556800))?
13/7
(15/(-13))/(8080/(-6464))
12/13
What is (60/(-39))/(570/(-1235))*(-72)/260?
-12/13
Evaluate (8/(80/(-38)))/((-69)/345).
19
What is the value of 7/(2142/(-68))*126/1?
-28
What is the value of 7831/2748681*3/(-3)*-18?
2/39
What is (-2574)/(-234)*-2*42/(-44)?
21
What is the value of 3*-9*(-287)/861*56/(-14)?
-36
Calculate (2/(-4)*2/1)/(((-17955)/6111)/(-57)).
-97/5
What is (-14)/(-7)*(-5)/(-1430)*-11?
-1/13
What is 1*(19/3)/(24/(-1440)*-10)?
38
What is the value of (-12)/(-82)*-17*(-28)/2856?
1/41
((-20)/(400/(-36))*115/3)/(90/60)
46
What is 1*33/22*(-12)/(-2)*(-508)/127?
-36
Calculate (18/280)/((-75)/70*(-276)/(-345)).
-3/40
Calculate (-168*(-52)/83616)/(-7).
-1/67
Evaluate (-1)/(-9)*132/(-36)*(-190)/(-1045).
-2/27
What is -20*(-4)/(-12)*2/12*(-6)/(-4)?
-5/3
What is ((-32)/(-20))/((240/325)/6*(-12)/(-48))?
52
What is the value of 4/(-3)*((-312)/22)/(30/(-330)*2)?
-104
Evaluate (6/70)/(49/((-24990)/(-51))*2).
3/7
Calculate ((-15)/(-35)*83/((-5229)/(-84)))/(1/(-4)).
-16/7
Calculate (25*(-14)/(-10920))/(((-700)/(-32))/35).
2/39
Calculate (-7*(-1)/(-2))/(19*20/1520).
-14
Evaluate (285/(-118845))/((-6)/(-2))*90/(-5).
2/139
Evaluate (-3003)/25116*(-20)/55.
1/23
18/((3*1/(-8))/((-326)/1304))
12
((-48)/20)/((-5880)/(-400))*(-21)/(-6)
-4/7
What is the value of 6/8*2240/192*48/10?
42
Evaluate (4/((-16)/1))/(55/(-616000)*28).
100
Evaluate (((-75)/(-275))/(24/12848))/2.
73
What is the value of (1758/1172)/(((-72)/(-32))/(3/16))*-2?
-1/4
What is 2*(-10)/220*7*(-2)/(-140)*-5?
1/22
What is the value of ((-50)/(-36))/(((-34100)/837)/(-110))?
15/4
What is the value of (4/(-134)*1)/(((-48)/(-160))/(15/100))?
-1/67
What is ((-57)/((-2052)/(-24)))/(((-37)/111)/((-5)/(-7)))?
10/7
What is the value of (((-6)/2)/165)/((-6140)/(-13508))?
-1/25
Evaluate ((-4416)/(-57132))/(56/(-252)).
-8/23
Calculate ((-8211)/833)/(552/(-1008)).
18
What is ((-31217)/(-14098))/(6/(-21))?
-31/4
Calculate (2856/(-2380))/(9*12/(-6300)).
70
675/(-350)*1330/17100
-3/20
Calculate 108/(-20)*(-11)/2*14940/5478.
81
Calculate (-78)/91*25/325*1001.
-66
Evaluate (-1407)/335*(-1350)/189.
30
What is the value of (1286/25720)/(1/(-48))?
-12/5
((-8)/18)/((-175006)/302895)
10/13
Calculate (13/(-4))/(63635/(-39160)).
2
Evaluate 1/(-24)*756/(11004/(-131)).
3/8
Calculate ((-82)/(-164))/((-2)/((-8)/(-4)))*52/(-2).
13
Evaluate (((-66430)/104)/73)/((-40)/(-128)).
-28
Calculate 4392/19032*(-1027)/3.
-79
What is the value of 20/26*(-12850)/(-8995)*(910/8)/5?
25
(960/288*(-9)/(-8))/((-411)/(-7124))
65
What is the value of ((1020/620)/51)/1?
1/31
What is the value of (-108)/3384*2/(-6)*-4?
-2/47
(494/368030)/((-3)/(-30))
2/149
Evaluate -17*(-32)/(-256)*24*1.
-51
(31/(-6665))/((-37)/(-555))
-3/43
Calculate (64/((-396288)/2150))/(5/(-6))*6/40.
1/16
Calculate ((-6)/20)/(30/35*280/(-900)).
9/8
What is ((-6292)/(-8228))/((-3)/(-153))?
39
Evaluate ((27500/(-150))/(-55))/(2*10/48).
8
What is -7*-105*(-17)/(-2499)?
5
Calculate (-3)/5*(70955/42573)/((1/(-1))/52).
52
What is the value of (9/(-966))/(((-2724)/3178)/(40/7))*-7?
-10/23
Calculate ((-4)/((-120)/50))/(21/(882/2275)).
2/65
What is the value of 15/(-250*14/840)?
-18/5
29/(1102/(-532))*-1
14
What is (60/(-12))/(((-9)/18)/((-170)/(-20)))?
85
(40/((-12880)/(-2346))*-2)/((-4)/14)
51
What is the value of ((10/((-30)/6))/8)/(((-42)/14)/240)?
20
Calculate ((-9)/12)/(33/22)*(-68320)/560.
61
Calculate -31*36/1116*(-21)/(-132)*4.
-7/11
Evaluate ((-425)/(-10))/(470/376).
34
What is ((-40)/64)/((-74)/(12136/(-1435)))?
-1/14
Evaluate (-44)/90*27/9*-5*558/(-372).
-11
What is ((-2885)/98090)/(3*(-5)/3570)?
7
What is 3150/(-585)*(-182)/(-28)?
-35
What is the value of (42/108)/((-2240)/8064)?
-7/5
What is the value of ((-7)/((-21)/(-9)))/(((-10)/(-16))/(43/172))?
-6/5
What is 2*(-1)/10*(530/(-53))/(-60)?
-1/30
Evaluate (10/575)/(-10*(-19)/(-475)).
-1/23
Calculate ((-155)/3410)/((-120)/(-8640)).
-36/11
What is the value of (81/(-39))/(6/39)?
-27/2
What is (-3)/7*312/(-1040)*420?
54
What is the value of ((-617)/(-5553))/((-25)/315*4/(-30))?
21/2
(6/(-2)*11*3/33)/(12/116)
-29
Evaluate 3*(-30)/((-2190)/(-73)).
-3
Evaluate 19/63*13570/773490.
1/189
Calculate (-249)/81*201/(-67)*-9.
-83
Evaluate 484*(9300/341)/(-100).
-132
(-4)/56*-24*(-560)/(-24)
40
((-4809)/(-687))/(91/195)
15
(4264/(-429))/41*(-45)/(-12)
-10/11
Evaluate ((-2623)/1159)/((-7)/(-133)).
-43
Calculate (-2788)/123*33/(-176).
17/4
What is the value of (-11)/((-33)/18)*(-57)/456*-56?
42
What is ((-902)/8)/((-1089)/396)?
41
Calculate (((-12)/72)/((-1)/(-2)))/((-4)/708).
59
What is the value of ((98/(-539))/((48/66)/1))/(10/32)?
-4/5
(-22)/((-242)/517)*7/(-7)
-47
(-140)/4*85/340
-35/4
(-421)/(31575/(-150))*1*-19
-38
((21200/(-742))/25)/(5/((-665)/2))
76
What is the value of (16/(-170))/(-2*4/(-4)*(-15)/(-75))?
-4/17
-15*28/16380*1677
-43
Evaluate (-6)/4*(-63)/(39123/138).
1/3
Calculate (-2)/(-2)*(-765)/(-95931)*57.
5/11
Evaluate ((-21726)/31382)/((-6)/364).
42
-65*(-18)/(-260)*1*18
-81
What is the value of -3*47/2256*1696?
-106
What is (15/((-675)/(-30)))/((12/(-9))/(-4))?
2
(8*(-518)/(-896))/(((-171)/9)/(-152))
37
Evaluate ((-6)/(-565))/(80/(-100)*36/48).
-2/113
(2/((-30)/9))/(30/39000*20)
-39
((-52800)/22000)/(6/3)
-6/5
What is the value of (32448/3042)/((-128)/(-744))?
62
What is (((-180)/315)/((-2)/(-7)))/((-110)/(-45))?
-9/11
Evaluate ((-1)/(-66))/((189/14)/3*544/1496).
1/108
Calculate (12/((-2160)/55))/(((-21)/56)/(-3)).
-22/9
What is the value of ((21094/159)/199)/(8/(-10))?
-5/6
What is the value of (2/(-4))/((195840/(-108))/160)?
3/68
(-723816)/4468*(-1)/(-6)
-27
Calculate (3654/348)/(483/3818).
83
Calculate (-7*3/63)/((-5*(-16)/(-920))/12).
46
What is the value of 1*3*(-4675)/(-4675)?
3
((2/3)/2)/(10084/(-22689)*1/(-12))
9
Calculate ((-4)/70*2)/((-1872)/273).
1/60
What is the value of 10*((-32)/20)/((-3)/9*71/71)?
48
Evaluate -9*92/77004*-589.
19/3
Calculate 21/28*(-4)/(-6)*390282/(-2243).
-87
What is (475/76*1/((-30)/4))/(15/(-1))?
1/18
Evaluate (-8*1/6)/(((-5070)/676)/((-15)/4)).
-2/3
What is the value of (33/(-22))/((-60)/4070*11)?
37/4
Evaluate 82*(-2)/10*(-700)/(-280).
-41
What is the value of 3/(61/(-4148)*-969)?
4/19
Evaluate (552/(-552))/(((-4)/6)/((-1)/(-3))).
1/2
What is (-2)/2*399/(-57)*26/(-7462)?
-1/41
What is the value of ((72/6984)/((1/1)/(-1)))/((-109)/(-218))?
-2/97
What is 140/364*(-689)/(-106)?
5/2
What is the value of (3*(-1)/(-15))/(-109*(-78)/(-311740))?
-22/3
Evaluate (-14)/84*(-19)/((-874)/(-4)).
1/69
What is (-36)/48*(-248)/18*(-177)/59?
-31
What is the value of -17*(8/(-18))/(132/594)?
34
What is (60447/(-40298))/(1/38)?
-57
What is the value of (((-3410)/165)/31)/((-1)/(-87))*1?
-58
-7*91/(-15925)*20/(-48)
-1/60
Evaluate (105/125)/(30/50).
7/5
((-51)/(-12))/(((-204)/(-4352))/((-18)/24))
-68
What is (60977/11802)/((-6)/(-72))?
62
Evaluate (-14)/1*2872/25130.
-8/5
What is (-738)/(-3)*62/(-372)*-1?
41
What is the value of ((-24000)/384*12/15)/2?
-25
What is (5*(-1)/(-45))/(139/(-5421))?
-13/3
What is the value of 10*-6*(-90)/(-360)?
-15
Evaluate ((-5)/(-135))/((-105)/(-135)*8/(176/(-33))).
-2/63
Evaluate 89*22/(-11)*141/282.
-89
What is (((-6)/6)/(-135))/((-14)/(-21))?
1/90
(-894)/(-1341)*-3*1*13/10
-13/5
What is the val | {
"pile_set_name": "DM Mathematics"
} |
+ 2
Let a(h) = 7*h. Let y(f) be the third derivative of 31*f**5/60 + 2*f**2 + f. What is y(a(r))?
1519*r**2
Let o(x) = 175*x**2 + 20*x + 5. Let p(d) = 438*d**2 + 48*d + 12. Let f(j) = -12*o(j) + 5*p(j). Let s(z) = -3*z**2. Give s(f(k)).
-24300*k**4
Let m(f) = -12*f. Let z(v) = 293142*v**2. Determine m(z(u)).
-3517704*u**2
Let a(g) = -3*g. Let d(m) = -5998*m + 2. Give a(d(l)).
17994*l - 6
Let p(n) = -3*n**2. Let b(h) = -3*h**2 + 85*h + 113. Give b(p(q)).
-27*q**4 - 255*q**2 + 113
Let x(c) = 5*c. Let v(u) = -1170*u + 16. Calculate x(v(l)).
-5850*l + 80
Let v(l) = l. Let j be (-30)/(-20)*(-22)/3. Let k = j - -12. Let x(c) = -6 + 7 - k + 5*c. Give v(x(z)).
5*z
Let o(t) = 276*t + 140. Let q(r) = -277*r - 120. Let k(x) = 6*o(x) + 7*q(x). Let y(u) = u**2. Calculate y(k(m)).
80089*m**2
Let m(i) be the third derivative of 0 + 0*i**4 - 1/10*i**5 + 0*i - 10*i**2 + 0*i**3. Let c(f) = -2*f. Determine m(c(z)).
-24*z**2
Let f(s) = 10794*s**2. Let g(x) = -5*x**2. Give f(g(d)).
269850*d**4
Let l(v) = 2*v**2. Let a(y) = -23*y**2. Let c(d) = 18 - 18 - 4*d**2. Let i(r) = -7*r - 1. Let f be i(-5). Let b(p) = f*c(p) - 6*a(p). What is l(b(j))?
8*j**4
Let x(z) = 12*z**2. Let d(h) be the second derivative of -h**6/240 + 13*h**4/12 + 5*h. Let j(a) be the third derivative of d(a). Give x(j(l)).
108*l**2
Let o(j) = -271367*j. Let t(w) = -w. What is o(t(l))?
271367*l
Let g(r) = -703*r**2. Let s(u) = -130*u**2 - 1. Determine s(g(q)).
-64247170*q**4 - 1
Let o(z) = -z**2. Let a(l) = -363926*l. What is o(a(s))?
-132442133476*s**2
Let k(i) = 4*i. Let l(x) be the third derivative of x**5/5 - x**4/6 + 89*x**2. Give l(k(w)).
192*w**2 - 16*w
Let b(u) = -1754*u. Let k(i) = 52*i. What is b(k(f))?
-91208*f
Let f(i) = -i**2 + 5*i**2 - 7*i**2. Let m(b) be the third derivative of -17*b**4/24 + 85*b**2. What is f(m(j))?
-867*j**2
Let z(o) = -52363*o**2. Let f(q) = 5*q**2. Determine z(f(k)).
-1309075*k**4
Let v(y) = y**2. Let d(b) = -5*b**2 + 8*b + 18. Let z(s) = s**2 - 2*s + 1. Let l(x) = -d(x) - 4*z(x). What is l(v(o))?
o**4 - 22
Let i = -31 + 21. Let b = -10 - i. Let r(t) = b*t + t - 2*t. Let p(k) = -2*k**2. Calculate p(r(z)).
-2*z**2
Let k(h) = -127*h**2 + 265*h**2 - 136*h**2. Let u(i) = -i**2 - 106. What is k(u(m))?
2*m**4 + 424*m**2 + 22472
Let m(z) = 2*z. Let f(q) = 58*q + 3. Give m(f(t)).
116*t + 6
Let w(p) = -4*p**2. Let b(o) be the first derivative of 25*o**3/3 - 188. What is b(w(g))?
400*g**4
Let f(y) be the third derivative of y**5/30 - 15*y**2. Let h(p) = 36*p. Calculate h(f(u)).
72*u**2
Let l(y) = 2*y + 106. Let r(q) = -5*q. Calculate l(r(f)).
-10*f + 106
Let l(u) = 10*u. Let r(c) = -26725*c**2. Calculate r(l(q)).
-2672500*q**2
Let p(m) = m. Suppose -s + 5 = s + a, 3*a = -3*s + 9. Suppose 7 - 13 = -s*o. Let h(l) = -12 + 12 - o*l. Calculate h(p(c)).
-3*c
Let q = 38 + -10. Let i(t) = -q*t + 5*t + 18*t. Let p(a) = -a**2 + 0*a**2 - 2*a**2. What is p(i(j))?
-75*j**2
Let i(s) = s. Let k(l) = -2*l - 47999. Calculate k(i(c)).
-2*c - 47999
Let p(x) = 28*x**2. Suppose -19*d + 3*d + 48 = 0. Let t(b) = -d*b - 55 - 54 + 109. What is t(p(l))?
-84*l**2
Let f(u) = -2*u**2. Let w be (-3)/(-15) + (-176)/(-20). Let n(t) = -w - t + 9 + 3*t. Give n(f(j)).
-4*j**2
Let d(c) = -c**2. Let i(j) = 177254*j. What is i(d(w))?
-177254*w**2
Let m(g) = 3*g**2. Let o(y) = 507*y**2 - y - 1015*y**2 + y + 510*y**2 + 10. Give m(o(c)).
12*c**4 + 120*c**2 + 300
Let s(b) = 12315*b. Let c(d) = 6*d**2. What is s(c(z))?
73890*z**2
Let w(g) = 3*g. Let q(s) = 1742*s + s**2 - 1742*s. Calculate w(q(z)).
3*z**2
Let d(b) = -3*b**2 + 10*b. Let x(n) = -7*n**2 + 9. Let l(f) = 3*f**2 - 4. Let a(v) = -9*l(v) - 4*x(v). Calculate d(a(k)).
-3*k**4 + 10*k**2
Let s(o) = 2*o**2 - o**2 + o**2. Suppose -a = 4*d - 12, 0 = 3*d - 4*a + 10 - 0. Let n(u) = 4*u**d - 12*u**2 + 7*u**2. Give n(s(y)).
-4*y**4
Let d(t) be the third derivative of -t**4/24 + 11*t**2. Let h(k) = -264*k**2 + 16*k. Let z(j) = 53*j**2 - 3*j. Let q(p) = 3*h(p) + 16*z(p). Determine q(d(o)).
56*o**2
Let b(a) = a + 8. Let d be b(-6). Let j(x) = -16*x**2 + 21*x**d + x - x. Let v(n) = 2*n + n - 5*n. What is v(j(c))?
-10*c**2
Let f(p) = 30*p**2. Let u(h) = -292*h - 292*h + 582*h. Give u(f(w)).
-60*w**2
Let c(a) = -6*a**2 - 19 - 7*a - 1 + 20. Let s(n) = -2*n. Determine c(s(x)).
-24*x**2 + 14*x
Let t(y) = 2 + 2 + 2*y - 4. Let r be (2*-1)/(-4)*12. Let l(s) = 2*s**2 + r*s**2 + 0*s**2. Give t(l(w)).
16*w**2
Let d(l) = 25*l + 3*l**2 + 29*l - 54*l. Let a(f) = -10*f**2 + 22 - 11 - 11. Calculate a(d(t)).
-90*t**4
Let s(x) be the third derivative of x**5/30 - x**2. Let z(n) be the second derivative of 7*n**4/12 - 122*n - 2. Calculate z(s(q)).
28*q**4
Let t(d) = -305*d. Let k(m) be the third derivative of -m**4/12 - 129*m**2 + 1. Calculate k(t(h)).
610*h
Let d(y) = -4*y**2 + 3*y - 72. Let f(l) = -202*l. Give f(d(o)).
808*o**2 - 606*o + 14544
Let d(t) = 0 - 714*t**2 + 0 + 705*t**2. Let o(h) = -4*h + 2. Let g(r) = 13*r - 7. Let x(l) = 2*g(l) + 7*o(l). Calculate x(d(y)).
18*y**2
Let a(f) = -65*f**2 + 390. Let m(z) = z**2 - 2. Let v(t) = -a(t) - 195*m(t). Let j(x) = x. What is j(v(d))?
-130*d**2
Let l(t) = t**2. Let n(i) be the third derivative of 23*i**5/30 - 34*i**2 - 5*i. Give l(n(a)).
2116*a**4
Let n(a) = 3*a**2. Let s(v) = 0*v + 5*v + 0*v. Let k(q) = -19 + 749*q - 753*q + 19. Let y(m) = 4*k(m) + 5*s(m). Calculate n(y(f)).
243*f**2
Let g(w) = -18*w**2 - 101*w. Let u(x) = -16*x**2. What is g(u(h))?
-4608*h**4 + 1616*h**2
Let z(p) be the second derivative of 2*p**3/3 - p**2 + 19*p. Let v(r) = -9*r + 5. Let j(d) = -2*v(d) - 5*z(d). Let c(l) = -l - 2. Calculate c(j(y)).
2*y - 2
Let t(h) = -2*h. Suppose 2*p - 1 = 9. Suppose -3*m + l + 7 = 2*l, p = 4*m - 3*l. Let j(z) = -z - 3*z + m*z + 3*z. Determine t(j(d)).
-2*d
Let v(a) = 22*a**2. Let s(w) = 64434*w. Calculate s(v(h)).
1417548*h**2
Let x(o) = 5*o**2. Let a(n) = 85*n**2 + 51. Let c(k) = 29*k**2 + 18. Let d(i) = 6*a(i) - 17*c(i). Determine d(x(t)).
425*t**4
Suppose -2*f - f - 5*a + 19 = 0, 0 = f + 4*a - 11. Let z(j) = -6 + 3 + f - 19*j. Let u(p) be the third derivative of -p**4/24 + 7*p**2. Give u(z(y)).
19*y
Let v(c) = -2*c. Let d(u) = -u**2 + 14*u - 10. Let a be d(13). Suppose -a = 2*o - 7. Let b(x) = -2*x**2 + 1 - 1 + 7*x**o. What is b(v(r))?
20*r**2
Let b(k) = -71*k. Let i(w) = -38*w + 24. Calculate i(b(t)).
2698*t + 24
Let y(p) = -2*p. Let g(z) = 139440*z**2 - z. Calculate y(g(t)).
-278880*t**2 + 2*t
Let k(g) = g**2 - 4*g - 2. Let u(d) = -5*d**2 + 22*d + 11. Let j(b) = -22*k(b) - 4*u(b). Let o(f) = 583*f. Give o(j(q)).
-1166*q**2
Let d(h) = 56*h + 1. Let g = -30 - -34. Let t(r) = 2*r + 5. Let y(i) = -2*i - 4. Let u(n) = g*t(n) + 5*y(n). What is u(d(w))?
-112*w - 2
Let t(d) = 744*d**2 - 93. Let w(u) = u**2. Calculate t(w(f)).
744*f**4 - 93
Let s(g) be the first derivative of -g**4/12 - g**2/2 - 1. Let v(k) be the second derivative of s(k). Let d(f) = -9*f + 143*f - 64*f - 64*f. Determine v(d(b)).
-12*b
Let h(r) = -160*r**2 - 11*r - 21. Let x(w) = -32*w**2 - 2*w - 4. Let y(l) = 2*h(l) - 11*x(l). Let n(k) = 5*k. What is n(y(v))?
160*v**2 + 10
Let h(b) = 3*b**2 + 6. Let t(q) = q**2 - 1. Let l(c) = -h(c) - 6*t(c). Let k(g) be the second derivative of 1/6*g**4 + 3*g + 0*g**3 + 0 + 0*g**2. Give k(l(s)).
162*s**4
Let o(n) = -23*n + 40. Let c(u) = 42*u - 75. Let s(j) = -6*c(j) - 11*o(j). Let l(z) = 12*z. What is l(s(q))?
12*q + 120
Let s(b) = 2 - 2 + 4*b**2. Let f(z) be the first derivative of z**5/120 + 8*z**3 + 3. Let j(w) be the third derivative of f(w). Determine s(j(t)).
4*t**2
Let q(b) = -20*b**2. Let p(o) = 5219*o. Calculate q(p(t)).
-544759220*t**2
Let t(x) = -1043*x. Let p(y) = -391*y. Give t(p(c)).
407813*c
Let n(f) = f**2 - 143. Let m(r) = r**2 - 2. Determine n(m(o)).
o**4 - 4*o**2 - 139
Let s(m) = 20*m**2 - 260*m + 7. Let f(x) = 6*x**2 - 87*x + 2. Let j(c) = 7*f(c) - 2*s(c). Let h(g) = -2*g. What is h(j(t))?
-4*t**2 + 178*t
Let g(x) = -12*x - 16*x - 21*x + 1 + 24*x + x. Let j(h) = 9*h**2. Give g(j(y)).
-216*y**2 + 1
Let b(g) = -3262*g. Let y(x) = 262*x. What is y(b(t))?
-854644*t
Let x(s) = s**2. Let h(k) be the second derivative of -11*k**4/24 - 5*k**2/2 + 9*k. Let v(f) be the first derivative of h(f). What is v(x(n))?
-11*n**2
Let v(t) = -46*t. Let a(h) = -38*h**2 + 2*h. Give a(v(k)).
-80408*k**2 - 92*k
Suppose 2*x - 89 = -85 | {
"pile_set_name": "DM Mathematics"
} |
er?
False
Let f = -627 + 1238. Is f a prime number?
False
Is 4/(-1)*(-886)/8 prime?
True
Suppose -7*s + 3*s = 12. Let i(k) = k**2 - 3*k - 4. Is i(s) a composite number?
True
Let q be (-2)/(16/6 - 2). Let d = -6 - q. Let r(l) = -l**3 - l**2 - 4*l + 1. Is r(d) composite?
False
Suppose 948 = 3*r - 282. Suppose -z = r + 82. Is (-1)/(3/z) + -1 prime?
True
Suppose -5*l + 2*j = 3, 0*l = 3*l + 3*j + 6. Is l + -1 + (6 - -123) composite?
False
Suppose -5*r = -2*r. Suppose -4*o + r*o = -184. Is o composite?
True
Let k(z) = -z**3 - z**2 - z + 15. Let n be k(0). Let q be (2/(-6) + -1)*-3. Suppose n = q*c + c. Is c prime?
True
Is 319/(3 + 1 + -3) a prime number?
False
Let y = 793 + -454. Is y a composite number?
True
Let j(m) = -10*m + 2. Let i be j(2). Is (-2)/4 + (-999)/i composite?
True
Suppose -28 = -4*w + 48. Let d = w - 5. Is d prime?
False
Suppose 3*s + 3*p = 0, 5*p - 4 + 22 = s. Let n be (-3)/((-27)/33)*s. Suppose -3*k = -31 - n. Is k a prime number?
False
Let u = 17 - 12. Let l be u*(-1 - (-39)/15). Let t(p) = 5*p + 9. Is t(l) composite?
True
Let b(i) = 2*i**3 - 2*i**2 + 4*i + 5. Let s(u) = -2*u**3 + u**2 - 3*u - 4. Let l(o) = 3*b(o) + 4*s(o). Let g = -3 + 0. Is l(g) a prime number?
False
Suppose 10*d - 746 = 8*d. Let g(s) = -23*s**3 - 5*s**2 - 2*s + 2. Let f be g(-3). Let a = f - d. Is a a prime number?
True
Let p = -1262 - -1975. Is p composite?
True
Suppose 4*y + 1 = 9. Suppose x - 4 + 1 = g, 15 = 5*x - y*g. Suppose -x*w + 17 = -1. Is w prime?
False
Suppose 5*l = -2*l + 42. Let w = -2 + 2. Suppose -2*b + 161 = i, -2*i + l = -w*i. Is b composite?
False
Suppose 122 = 3*x - 16. Let c = x - 31. Is c prime?
False
Let b(p) = 9*p**3 + 5*p**2 + 17*p + 1. Let l(j) = 5*j**3 + 3*j**2 + 9*j + 1. Let s(q) = 4*b(q) - 7*l(q). Suppose 4*c + 1 = 17. Is s(c) a prime number?
False
Let t be (0 - (-1 - -1))*-1. Suppose 20 = 4*o + o, t = 2*s - 2*o + 6. Is s/(3*2/186) a composite number?
False
Suppose -150 = 3*w - 8*w. Let q = 127 - w. Is q prime?
True
Suppose a - 5 - 1 = 0. Let z be (-2 - 0) + (-2 - -5). Is 2/z*a/4 composite?
False
Let y(a) be the third derivative of -a**6/120 + 3*a**5/20 - 3*a**4/8 + a**3/6 - a**2. Let p(s) = s**3 + 6*s**2 + 6. Let z be p(-6). Is y(z) a composite number?
True
Suppose 2*b - w = 814, 2*b = 5*b - w - 1223. Is b a prime number?
True
Let l = -391 + 696. Is l composite?
True
Suppose 0*a - 436 = -4*a. Let b = -54 + a. Is b a prime number?
False
Let l = -687 - -1024. Is l a prime number?
True
Let t = 8 + 933. Is t a composite number?
False
Suppose 395 = 4*z + z. Is z prime?
True
Suppose -3*x = -4 - 53. Is x prime?
True
Let u = 91 + -26. Is u a composite number?
True
Let x = 2 - -1. Is x a prime number?
True
Suppose 8*v - 6*v - 4 = 0, -37 = -3*o - 2*v. Is o a composite number?
False
Let h(b) be the second derivative of b**5/60 - b**4/8 - b**3/3 + 2*b. Let g(d) be the second derivative of h(d). Is g(9) prime?
False
Suppose 9 = 4*z + 1. Suppose 4*g - 20 = 2*c, 3*c = -z*g - 1 - 13. Let f = 9 - c. Is f a composite number?
True
Let y(m) = 4*m**2 + 5*m + 1. Let w be y(-6). Let k = -117 + 57. Let p = k + w. Is p prime?
False
Let f(b) = 149*b**3 - b**2 + b. Let y(d) = -d - 4. Let t be y(-5). Is f(t) a prime number?
True
Suppose 9712 = 4*b + g, -b + 5*g = -1384 - 1023. Is b a prime number?
False
Suppose 6*o = 4*o + 280. Let c = 167 + o. Is c a composite number?
False
Is (-2)/(-3)*(-132423)/(-74) a composite number?
False
Let b(u) = -2*u**3 + 14*u**2 - 5*u - 4. Let n(p) = p**3 - 7*p**2 + 2*p + 2. Let d(s) = -4*b(s) - 7*n(s). Let z be d(7). Let k = -9 + z. Is k a composite number?
True
Suppose 2*c - 4*i + 36 = 0, 2*i - 5 = -11. Let s = 35 + c. Is s prime?
True
Is (1 - -45) + (-9)/(-3) a composite number?
True
Let k = 62 + -43. Is k a composite number?
False
Is -2 + 2 - -294 - 1 composite?
False
Let j = 18 - 22. Is 85 - (2 + 2 + j) a composite number?
True
Suppose 5*q + 340 = 9*q. Is q a prime number?
False
Let m be (6/18)/((-1)/(-9)). Let l(s) = 5*s - 1. Let b be l(m). Let d = b - -21. Is d prime?
False
Let y be (-33)/(-1) - (-4)/(-2). Let r = 46 - y. Is r a prime number?
False
Is (2/(-3))/((-5)/165) prime?
False
Let l(c) = -16*c**2 - 4. Let g be l(3). Let t = g - -237. Suppose 60 = y - t. Is y a prime number?
True
Let n(z) = -5*z**3 + 6*z**2 + 5*z - 7. Let g(x) = -9*x**3 + 11*x**2 + 9*x - 13. Let h(t) = -4*g(t) + 7*n(t). Let c be h(4). Let o = 54 - c. Is o composite?
False
Suppose 2*w + 0*g + g - 1081 = 0, 0 = -3*g - 3. Is w composite?
False
Let c(a) = -a**2 + 29*a - 2. Is c(8) prime?
False
Suppose 31 = 4*j + 5*d, -2*d = -j - 6*d + 5. Is (-478)/(-6) + (-6)/j a composite number?
False
Suppose 5*n = r + 5706, 4561 = -2*n + 6*n + 3*r. Is n prime?
False
Let j = 338 - -371. Is j prime?
True
Let g(h) = -h**3 + 2*h**2 + 3*h. Let x be g(3). Suppose x = -4*n - 0 - 4. Is n + -2 + 6*3 a prime number?
False
Suppose 0 = -2*j + 34 + 20. Let f = j - -196. Is f a prime number?
True
Let k = -20 - -25. Suppose -3*n + k*i = -150, 5*n - 3*i - 272 = -2*i. Is n prime?
False
Let n = 2 + 0. Let r be (24/10)/(n/35). Suppose 2*b - r = -b. Is b a prime number?
False
Suppose -3*i + 18 = 4*a, 0*a + a - 3 = 0. Suppose 3*r + 5*p = 6*r - 46, -2*p = i*r - 4. Let n = 46 - r. Is n prime?
False
Suppose 3*m + 80 = -2*d + 3*d, 439 = 5*d - 2*m. Is d a prime number?
True
Suppose 615 = 3*v - 582. Let o = v + -222. Let l = o - 124. Is l composite?
False
Let a(h) = 7*h. Let k be a(11). Let o = 123 - k. Is o prime?
False
Suppose -2*a + 0*c - 1 = c, -25 = 5*c. Let w = 4 + a. Is w composite?
True
Let k(q) = 123*q**2 - 4*q - 3. Is k(4) a prime number?
True
Let q(b) = -4*b**3 - 4*b**2 - 3*b - 15. Is q(-8) prime?
True
Is 2 + -4 - (-1710 + -3) prime?
False
Let y(t) be the third derivative of 2*t**5/15 - t**4/8 - t**3 - t**2. Suppose -2*z - 3*z - 25 = 0. Is y(z) a prime number?
False
Let z(k) = -10*k - 10. Let n(w) = -10*w - 9. Let p(v) = -6*n(v) + 5*z(v). Is p(3) a composite number?
True
Is 2 + 12/(-3) - -91 a composite number?
False
Suppose -5*q - 3*j + 1582 = 0, 5*j - 76 = 4*q - 1349. Is q composite?
False
Suppose -q = -32 - 27. Is q composite?
False
Let q be (-3 - 3)*(-2)/(-2). Let c(i) = -i**2 - 7*i - 4. Let t be c(q). Suppose -v = o - 2*o + 50, 59 = o + t*v. Is o composite?
False
Suppose 0*n - n = -1, 3*n + 1 = 2*w. Is (0 - -2)*289/w a composite number?
True
Suppose 5*n - 9 = 16. Let y be (n + -9)*1*-3. Suppose -u + 2*d + y = 0, -3*u = -8*u - 5*d + 45. Is u prime?
False
Let k(n) = -n + 1. Let v(s) = 25*s - 6. Let a be (6/4)/(6/16). Let j(i) = a*k(i) + v(i). Is j(7) a prime number?
False
Let w(n) = 12*n**3 - 1. Is w(1) composite?
False
Suppose 760 + 1514 = 6*x. Is x prime?
True
Let f(z) = -13*z + 1. Let i be f(-4). Let a = i + 14. Is a a prime number?
True
Suppose 0 = 2*x + 12 + 78. Is 18/x - 747/(-5) a prime number?
True
Let h(z) = 3*z + 9. Let s = 19 + -11. Is h(s) prime?
False
Let p(s) = s + 15. Let x be p(-12). Suppose 297 = 5*b + u, -x*u + 6*u = -2*b + 124. Is b prime?
True
Let c(m) = 2*m + 2. Let p be c(-2). Let d(z) = 4*z**3 + 4*z**2 + 2*z. Let f be d(p). Let j = -1 - f. Is j composite?
False
Let j be (-8)/32 + 249/4. Suppose 2*l = -3*b + 171 + j, -2*l + 4*b = -226. Is l a composite number?
True
Suppose -5*t - 33 = -108. Is t a prime number?
False
Let i(s) = 251*s + 16. Is i(11) composite?
False
Suppose 3*g - 7*g - 5*b + 53 = 0, -b = 5*g - 82. Let q = 32 - g. Is q composite?
True
Let m = 8 - 4. Suppose -3*b + 113 = -m*h, -3*b + 3*h - 46 + 163 = 0. Let k = -30 + b. Is k composite?
False
Suppose 0*w = 3*w. Let b = w + 2. Suppose -2*r + 64 = -3*p, -r + 97 = b*r - 4*p. Is r composite?
True
Let i(p) be the first derivative of -p**3/3 + p**2/2 + 2*p - 1. Let a be i(2). Suppose 2*n - 2 - 2 = a. Is n prime?
True
Suppose -2*o + 5*q + 26 = 0, 0 = o - 2*o + 2*q + 11. Suppose -10 = o*n - n. Let d(t) = -t**3 - 4*t**2 - 2*t + 2. Is d(n) a composite number?
False
Let b(m) = -m**2 + 4. Let v be b(0). Suppose -15 = -v*y - y. Suppose -3*q + y*w + 119 = 2*w, 3*w = 4*q - 167. Is q a composite number?
True
Suppose -1257 = u - 4*u. Is u a prime number?
True
Let l = -1 + 6. Suppose -12 = -5*n - l*g + 23, 15 = n + 3*g. Is n a composite number?
False
Suppose -1716 + 15100 = 8*j. Let v = -414 + j. Is v composite?
False
Let v(p) = -324*p - 1. Is v(-3) a prime number?
True
Is (-17535)/(-5) - (-4 - 0) a prime num | {
"pile_set_name": "DM Mathematics"
} |
he u'th term of -3002, -2991, -2980, -2969?
11*u - 3013
What is the f'th term of -43, -82, -117, -154, -199?
-f**3 + 8*f**2 - 56*f + 6
What is the w'th term of 195, 210, 223, 234, 243, 250, 255?
-w**2 + 18*w + 178
What is the i'th term of -25, -38, -47, -46, -29, 10, 77?
i**3 - 4*i**2 - 8*i - 14
What is the a'th term of -1818, -1817, -1816, -1815?
a - 1819
What is the r'th term of -457, -489, -521?
-32*r - 425
What is the d'th term of -16, -46, -102, -190, -316?
-d**3 - 7*d**2 - 2*d - 6
What is the g'th term of -162, -167, -176, -189?
-2*g**2 + g - 161
What is the f'th term of 20, 32, 44?
12*f + 8
What is the s'th term of -48, -29, 24, 129, 304, 567?
3*s**3 - s**2 + s - 51
What is the d'th term of -294, -293, -292, -291, -290?
d - 295
What is the l'th term of -490, -487, -484?
3*l - 493
What is the y'th term of 118, 227, 338, 451, 566?
y**2 + 106*y + 11
What is the v'th term of -869, -859, -841, -815, -781?
4*v**2 - 2*v - 871
What is the v'th term of -2, -3, -12, -35, -78, -147, -248?
-v**3 + 2*v**2 - 3
What is the y'th term of 5, 32, 81, 158, 269?
y**3 + 5*y**2 + 5*y - 6
What is the c'th term of -3301, -6603, -9905, -13207?
-3302*c + 1
What is the q'th term of -165, -168, -169, -168, -165, -160, -153?
q**2 - 6*q - 160
What is the i'th term of 635, 1271, 1907, 2543, 3179, 3815?
636*i - 1
What is the i'th term of 214, 430, 646, 862?
216*i - 2
What is the r'th term of 64, 189, 434, 859, 1524, 2489, 3814?
10*r**3 + 55*r - 1
What is the g'th term of 19, 20, 19, 16, 11?
-g**2 + 4*g + 16
What is the s'th term of -366, -370, -374, -378, -382, -386?
-4*s - 362
What is the b'th term of -64, -107, -160, -229, -320, -439, -592, -785?
-b**3 + b**2 - 39*b - 25
What is the g'th term of 247, 231, 185, 91, -69?
-3*g**3 + 3*g**2 - 4*g + 251
What is the u'th term of -1677, -3348, -5007, -6648, -8265, -9852?
u**3 - 1678*u
What is the s'th term of -16, -27, -34, -37, -36, -31, -22?
2*s**2 - 17*s - 1
What is the c'th term of 1411, 2825, 4243, 5665, 7091?
2*c**2 + 1408*c + 1
What is the n'th term of -978, -1958, -2938?
-980*n + 2
What is the w'th term of 712, 717, 732, 763, 816, 897?
w**3 - w**2 + w + 711
What is the f'th term of 31, 29, 27?
-2*f + 33
What is the t'th term of -12, -15, -18, -21?
-3*t - 9
What is the p'th term of -20, -33, -44, -53, -60?
p**2 - 16*p - 5
What is the c'th term of 103, 207, 315, 427?
2*c**2 + 98*c + 3
What is the f'th term of -951, -1902, -2853, -3804, -4755, -5706?
-951*f
What is the d'th term of 9, -39, -171, -429, -855?
-7*d**3 + d + 15
What is the q'th term of -1285, -5140, -11549, -20500, -31981?
2*q**3 - 1289*q**2 - 2*q + 4
What is the d'th term of 52, 66, 102, 172, 288, 462, 706?
2*d**3 - d**2 + 3*d + 48
What is the u'th term of 67, 64, 59, 52, 43, 32?
-u**2 + 68
What is the z'th term of 5, 0, -5, -10, -15?
-5*z + 10
What is the p'th term of 58, 86, 100, 94, 62, -2, -104?
-p**3 - p**2 + 38*p + 22
What is the y'th term of 38, 155, 346, 611, 950, 1363, 1850?
37*y**2 + 6*y - 5
What is the y'th term of 65, 144, 235, 338, 453, 580?
6*y**2 + 61*y - 2
What is the l'th term of 265, 263, 251, 223, 173?
-l**3 + l**2 + 2*l + 263
What is the h'th term of 2482, 2479, 2474, 2467?
-h**2 + 2483
What is the h'th term of 20, 12, 0, -16, -36, -60?
-2*h**2 - 2*h + 24
What is the m'th term of 461, 914, 1355, 1778, 2177, 2546, 2879?
-m**3 + 460*m + 2
What is the a'th term of 22, 2, -28, -74, -142, -238?
-a**3 + a**2 - 16*a + 38
What is the v'th term of -17, -13, -7, 7, 35, 83, 157, 263?
v**3 - 5*v**2 + 12*v - 25
What is the j'th term of 54, 29, 18, 27, 62, 129, 234?
j**3 + j**2 - 35*j + 87
What is the l'th term of 84, 121, 158, 195, 232?
37*l + 47
What is the q'th term of 98, 381, 844, 1481, 2286, 3253, 4376, 5649?
-q**3 + 96*q**2 + 2*q + 1
What is the m'th term of 287, 575, 863?
288*m - 1
What is the i'th term of -696, -2819, -6360, -11313, -17672, -25431?
i**3 - 715*i**2 + 15*i + 3
What is the l'th term of 102, 85, 34, -69, -242, -503?
-3*l**3 + l**2 + l + 103
What is the m'th term of -254, -498, -734, -962?
4*m**2 - 256*m - 2
What is the v'th term of 395, 424, 483, 578, 715, 900?
v**3 + 9*v**2 - 5*v + 390
What is the l'th term of 275, 546, 817, 1088, 1359, 1630?
271*l + 4
What is the k'th term of -73, -145, -217, -289, -361?
-72*k - 1
What is the f'th term of -221, -199, -163, -113, -49, 29, 121?
7*f**2 + f - 229
What is the q'th term of 425, 418, 411?
-7*q + 432
What is the n'th term of 878, 872, 856, 824, 770, 688, 572, 416?
-n**3 + n**2 - 2*n + 880
What is the p'th term of -3693, -3694, -3695, -3696?
-p - 3692
What is the r'th term of -41, -85, -143, -221, -325, -461?
-r**3 - r**2 - 34*r - 5
What is the k'th term of 112, 107, 112, 133, 176?
k**3 - k**2 - 9*k + 121
What is the s'th term of -10, -40, -84, -142, -214?
-7*s**2 - 9*s + 6
What is the v'th term of -343, -365, -393, -433, -491, -573, -685?
-v**3 + 3*v**2 - 24*v - 321
What is the a'th term of -121, -132, -159, -208, -285, -396?
-a**3 - 2*a**2 + 2*a - 120
What is the t'th term of 44, 78, 110, 140, 168?
-t**2 + 37*t + 8
What is the u'th term of 769, 775, 793, 829, 889, 979, 1105?
u**3 - u + 769
What is the z'th term of 243, 494, 747, 1002, 1259, 1518?
z**2 + 248*z - 6
What is the q'th term of 610, 1234, 1858, 2482, 3106?
624*q - 14
What is the d'th term of -7, -9, -23, -55, -111, -197, -319, -483?
-d**3 + 5*d - 11
What is the q'th term of 67, 65, 63, 61?
-2*q + 69
What is the r'th term of 46, 36, 4, -62, -174, -344, -584, -906?
-2*r**3 + r**2 + r + 46
What is the i'th term of -13, -16, -23, -34, -49?
-2*i**2 + 3*i - 14
What is the h'th term of -8, -41, -98, -179, -284?
-12*h**2 + 3*h + 1
What is the t'th term of -805, -804, -803, -802, -801, -800?
t - 806
What is the s'th term of 101, 390, 863, 1514, 2337, 3326?
-s**3 + 98*s**2 + 2*s + 2
What is the d'th term of -4254, -4257, -4262, -4269, -4278?
-d**2 - 4253
What is the f'th term of 4, 1, -10, -35, -80, -151, -254?
-f**3 + 2*f**2 - 2*f + 5
What is the t'th term of -47, -79, -97, -95, -67, -7, 91?
t**3 + t**2 - 42*t - 7
What is the l'th term of 508, 1015, 1522, 2029?
507*l + 1
What is the s'th term of 70, 71, 72, 73, 74?
s + 69
What is the f'th term of 0, -38, -106, -210, -356, -550, -798?
-f**3 - 9*f**2 - 4*f + 14
What is the a'th term of -40, -35, -10, 47, 148, 305, 530, 835?
2*a**3 - 2*a**2 - 3*a - 37
What is the a'th term of -7, -24, -55, -100, -159, -232?
-7*a**2 + 4*a - 4
What is the y'th term of 16, -149, -600, -1481, -2936, -5109, -8144?
-24*y**3 + y**2 + 39
What is the i'th term of 245, 993, 2247, 4013, 6297, 9105, 12443?
i**3 + 247*i**2 - 3
What is the v'th term of 27, 29, 33, 39, 47, 57, 69?
v**2 - v + 27
What is the j'th term of 574, 1159, 1762, 2389, 3046, 3739?
j**3 + 3*j**2 + 569*j + 1
What is the k'th term of -201, -398, -583, -750, -893, -1006?
k**3 - 204*k + 2
What is the x'th term of 26, 49, 72, 95, 118?
23*x + 3
What is the v'th term of 3, 36, 99, 198, 339, 528, 771, 1074?
v**3 + 9*v**2 - v - 6
What is the x'th term of -56, -188, -410, -722, -1124, -1616?
-45*x**2 + 3*x - 14
What is the h'th term of -17, 14, 93, 244, 491, 858, 1369, 2048?
4*h**3 + 3*h - 24
What is the o'th term of 12, 27, 54, 93, 144, 207, 282?
6*o**2 - 3*o + 9
What is the v'th term of -602, -604, -606, -608, -610?
-2*v - 600
What is the t'th term of -3755, -3753, -3749, -3743, -3735, -3725, -3713?
t**2 - t - 3755
What is the q'th term of -1226, -2454, -3684, -4916, -6150?
-q**2 - 1225*q
What is the j'th term of 21, -30, -117, -246, -423, -654, -945?
-j**3 - 12*j**2 - 8*j + 42
What is the k'th term of 10, 84, 280, 658, 1278?
10*k**3 + k**2 + k - 2
What is the r'th term of -5, -13, -23, -35, -49, -65, -83?
-r**2 - 5*r + 1
What is the s'th term of 114, 125, 134, 141, 146, 149?
-s**2 + 14*s + 101
What is the q'th term of -160, -315, -450, -559, -636, -675, -670?
q**3 + 4*q**2 - 174*q + 9
What is the y'th term of 529, 1041, 1535, 2005, 2445, 2849?
-y**3 - 3*y**2 + 528*y + 5
What is the n'th term of 10, 18, 12, -14, -66, -150?
-n**3 - n**2 + 18*n - 6
What is the j'th term of 52915, 52916, 52917, 52918, 52919?
j + 52914
What is the m'th term of -8, 64, 182, 346, 556, 812?
23*m**2 + 3*m - 34
What is the n'th term of 117, 243, 401, 597, 837, 1127, 1473, 1881?
n**3 + 10*n**2 + 89*n + 17
What is the g'th term of 20, 41, 74, 125, 200?
g**3 + 14*g + 5
What is | {
"pile_set_name": "DM Mathematics"
} |
.
-5, -1, 1, 2
Find s, given that -5*s**3 - 55*s**2 - 95*s - 45 = 0.
-9, -1
Factor -2*z**3 - 10*z**2 - 6*z + 18.
-2*(z - 1)*(z + 3)**2
Factor -5*k**3 - 85*k**2 + 185*k - 95.
-5*(k - 1)**2*(k + 19)
Determine r so that -3*r**3/2 + 23*r**2/2 + 83*r - 60 = 0.
-5, 2/3, 12
Factor 2*k**3/19 + 2*k**2/19 - 12*k/19.
2*k*(k - 2)*(k + 3)/19
Let -5*g**4 - 1060*g**3 - 73440*g**2 - 1555200*g + 7464960 = 0. Calculate g.
-72, 4
Let -x**4/2 + 7*x**3 - 33*x**2/2 - 56*x - 32 = 0. What is x?
-1, 8
Factor -5*c**2/6 - 280*c/3 - 7840/3.
-5*(c + 56)**2/6
Determine d, given that -d**5/3 - 2*d**4 - 8*d**3/3 + 2*d**2/3 + 3*d + 4/3 = 0.
-4, -1, 1
Let h**5/2 + 57*h**4/2 + 719*h**3/2 - 2757*h**2/2 - 360*h + 1350 = 0. Calculate h.
-30, -1, 1, 3
Solve -2*s**3/9 + 62*s/9 + 20/3 = 0 for s.
-5, -1, 6
Suppose 5*w**5/9 + 38*w**4 + 694*w**3 + 13664*w**2/9 + 3311*w/3 + 242 = 0. What is w?
-33, -1, -2/5
What is g in -3*g**2 + 54*g - 51 = 0?
1, 17
Factor -5*t**3/2 + 20*t**2 - 65*t/2 + 15.
-5*(t - 6)*(t - 1)**2/2
Solve -2*g**4/5 + 12*g**3/5 - 8*g**2/5 - 12*g/5 + 2 = 0 for g.
-1, 1, 5
Determine l, given that -5*l**2 - 1980*l - 196020 = 0.
-198
Factor -2*m**4 - 112*m**3 - 1674*m**2 - 2916*m.
-2*m*(m + 2)*(m + 27)**2
Let 25*m**5 + 615*m**4 + 901*m**3 - 435*m**2 + 46*m = 0. What is m?
-23, -2, 0, 1/5
Factor -5*c**2 + 340*c.
-5*c*(c - 68)
Factor 2*l**2/7 + 8*l/7 + 6/7.
2*(l + 1)*(l + 3)/7
Find w, given that 3*w**4 + 45*w**3 + 81*w**2 + 39*w = 0.
-13, -1, 0
Suppose -3*a**2 + 15174*a - 19187523 = 0. Calculate a.
2529
Determine i, given that -6*i**5/5 + 14*i**4/5 + 12*i**3/5 = 0.
-2/3, 0, 3
Factor 3*f**4 + 15*f**3 - 126*f**2 + 228*f - 120.
3*(f - 2)**2*(f - 1)*(f + 10)
Factor -2*i**3 + 20*i**2 - 34*i + 16.
-2*(i - 8)*(i - 1)**2
Suppose 5*a**2 - 55*a + 50 = 0. Calculate a.
1, 10
Suppose 4*r**5 - 28*r**4 - 8*r**3 + 184*r**2 + 260*r + 100 = 0. What is r?
-1, 5
Solve p**4 + 81*p**3 = 0.
-81, 0
Suppose 2*j**3 - 12*j**2 + 18*j = 0. What is j?
0, 3
Find y, given that 6*y**5/7 + 6*y**4/7 - 144*y**3/7 + 24*y**2/7 + 960*y/7 - 1152/7 = 0.
-4, 2, 3
What is x in 2*x**2/5 - 176*x/5 - 480 = 0?
-12, 100
Find t, given that -4*t**3 - 788*t**2 - 38412*t + 39204 = 0.
-99, 1
Suppose o**4/5 + 1536*o**3/5 + 591358*o**2/5 + 1178112*o/5 + 588289/5 = 0. Calculate o.
-767, -1
Let 3*h**2/11 - h - 4/11 = 0. Calculate h.
-1/3, 4
Solve 6*u**5/17 + 76*u**4/17 + 172*u**3/17 + 120*u**2/17 - 2*u/17 - 20/17 = 0.
-10, -1, 1/3
Factor -w**2 - w + 2.
-(w - 1)*(w + 2)
Let 109*q**2/2 - 653*q/2 - 3 = 0. Calculate q.
-1/109, 6
Factor 5*d**2 - 3215*d - 6450.
5*(d - 645)*(d + 2)
Solve b**5/2 + 29*b**4/3 + 133*b**3/3 + 40*b**2 - 101*b/6 - 65/3 = 0.
-13, -5, -1, 2/3
Factor -m**2/5 + 29*m/5 + 6.
-(m - 30)*(m + 1)/5
Suppose -a**4 + 29*a**3 - 51*a**2 - 81*a = 0. What is a?
-1, 0, 3, 27
Let 3*h**4/4 + 39*h**3/4 + 45*h**2/2 - 3*h - 30 = 0. Calculate h.
-10, -2, 1
What is k in k**2/3 - 238*k/3 + 464 = 0?
6, 232
Factor a**3/3 - 26*a**2/3 + 64*a - 96.
(a - 12)**2*(a - 2)/3
Factor -2*v**4 - 90*v**3 + 186*v**2 - 94*v.
-2*v*(v - 1)**2*(v + 47)
Factor -v**4/7 - 200*v**3/7 - 9382*v**2/7 + 61800*v/7 - 95481/7.
-(v - 3)**2*(v + 103)**2/7
Suppose -8*z**5 - 248*z**4/3 - 150*z**3 + 10*z**2/3 + 68*z - 32/3 = 0. Calculate z.
-8, -2, -1, 1/6, 1/2
Let 5*n**2 + 135*n + 700 = 0. What is n?
-20, -7
Suppose b**3 - 222*b**2 + 16428*b - 405224 = 0. Calculate b.
74
Find g such that -32*g**4/17 - 80*g**3/17 - 58*g**2/17 - 10*g/17 = 0.
-5/4, -1, -1/4, 0
Factor t**3/4 - 2*t**2 + 13*t/4 - 3/2.
(t - 6)*(t - 1)**2/4
Suppose -m**5 - 59*m**4 - 775*m**3 + 2879*m**2 - 248*m - 3844 = 0. Calculate m.
-31, -1, 2
Factor 5*r**2 - 175*r/4 + 245/4.
5*(r - 7)*(4*r - 7)/4
Factor 688205*z**4 + 14840*z**3 + 80*z**2.
5*z**2*(371*z + 4)**2
Find t, given that 2*t**2 + 26*t + 84 = 0.
-7, -6
Factor -u**2 + 48*u + 265.
-(u - 53)*(u + 5)
Factor 2*l**3/7 - 12*l**2/7 - 2*l/7 + 60/7.
2*(l - 5)*(l - 3)*(l + 2)/7
What is g in 3*g**4 - 75*g**3 + 249*g**2 + 75*g - 252 = 0?
-1, 1, 4, 21
Solve f**4/2 - 15*f**3/2 - 10*f**2 + 30*f + 32 = 0.
-2, -1, 2, 16
Factor j**5/3 + 56*j**4/3 + 1126*j**3/3 + 3192*j**2 + 9747*j.
j*(j + 9)**2*(j + 19)**2/3
Suppose -2*a**5/7 - 6*a**4/7 + 10*a**3/7 + 30*a**2/7 - 8*a/7 - 24/7 = 0. What is a?
-3, -2, -1, 1, 2
Factor -2*l**2/11 + 8*l - 88.
-2*(l - 22)**2/11
Let 3*j**3/4 - 15*j**2/4 + 6*j - 3 = 0. Calculate j.
1, 2
Determine i so that -3*i**5 - 15*i**4 + 24*i**3 + 36*i**2 = 0.
-6, -1, 0, 2
Solve -14*u**4/5 + 116*u**3/5 + 94*u**2/5 - 36*u/5 = 0.
-1, 0, 2/7, 9
Factor -2*i**5 + 10*i**4 - 16*i**3 + 8*i**2.
-2*i**2*(i - 2)**2*(i - 1)
Factor 3*g**4/8 - 15*g**3/4 + 99*g**2/8 - 33*g/2 + 15/2.
3*(g - 5)*(g - 2)**2*(g - 1)/8
Factor n**2/9 + 682*n/9 + 116281/9.
(n + 341)**2/9
Factor t**5/4 - 29*t**4/4 + 125*t**3/2 - 293*t**2/2 + 533*t/4 - 169/4.
(t - 13)**2*(t - 1)**3/4
Find j, given that 4*j**4 + 108*j**3 - 228*j**2 + 116*j = 0.
-29, 0, 1
Solve 4*f**3 - 16*f**2 - 60*f + 72 = 0 for f.
-3, 1, 6
Factor 5*y**4 + 15*y**3 - 115*y**2 + 165*y - 70.
5*(y - 2)*(y - 1)**2*(y + 7)
Find j, given that 4*j**5 - 48*j**4 + 224*j**3 - 504*j**2 + 540*j - 216 = 0.
1, 2, 3
Suppose -5*k**5 + 285*k**4 - 4715*k**3 + 18735*k**2 - 24440*k + 10140 = 0. Calculate k.
1, 3, 26
Solve m**3/6 - 11*m**2/2 + 5*m + 32/3 = 0 for m.
-1, 2, 32
Suppose -3*f**4/2 + 37*f**3/2 - 135*f**2/2 + 131*f/2 - 15 = 0. Calculate f.
1/3, 1, 5, 6
Factor 3*c**2/5 - 3048*c/5 + 774192/5.
3*(c - 508)**2/5
Let 69*v**4 - 765*v**3 + 618*v**2 + 1332*v - 120 = 0. Calculate v.
-1, 2/23, 2, 10
Factor x**3/9 + 176*x**2/9 + 349*x/9 + 58/3.
(x + 1)**2*(x + 174)/9
Let 4*x**3/5 + 996*x**2/5 + 12096*x - 190512/5 = 0. Calculate x.
-126, 3
Find p, given that 2*p**3/5 - 2*p**2 - 332*p/5 - 64 = 0.
-10, -1, 16
Solve -4*w**2 - 160*w - 816 = 0 for w.
-34, -6
Factor o**5 + 8*o**4 + 18*o**3 + 16*o**2 + 5*o.
o*(o + 1)**3*(o + 5)
Solve 9*t**3 + 66*t**2 + 15*t - 42 = 0.
-7, -1, 2/3
Factor 2*a**5/9 - 8*a**4/9 + 8*a**3/9.
2*a**3*(a - 2)**2/9
Find s, given that 3489*s**2/2 + 10473*s/2 + 9 = 0.
-3, -2/1163
Factor 3*a**4 + 339*a**3 + 990*a**2 - 12*a - 1320.
3*(a - 1)*(a + 2)**2*(a + 110)
Determine q, given that -4*q**3 + 28*q**2 + 68*q + 36 = 0.
-1, 9
Factor -2*v**4/7 - 48*v**3/7 - 46*v**2/7.
-2*v**2*(v + 1)*(v + 23)/7
Solve 2*i**2 - 86*i - 376 = 0.
-4, 47
Factor -2*z**2/7 - 610*z/7 + 3100/7.
-2*(z - 5)*(z + 310)/7
Factor 3*l**2 - 198*l.
3*l*(l - 66)
Solve 15*m**4/4 + 267*m**3/2 + 219*m**2/4 - 831*m + 315 = 0 for m.
-35, -3, 2/5, 2
Factor -2*q**3/5 + 8*q**2 - 128*q/5.
-2*q*(q - 16)*(q - 4)/5
Let -8*i**5 + 26*i**4 - 22*i**3 + 4*i**2 = 0. What is i?
0, 1/4, 1, 2
Factor -2*a**4 + 21920*a**3 - 90091200*a**2 + 164566592000*a - 112728115520000.
-2*(a - 2740)**4
Suppose p**4/2 + 189*p**3 + 36097*p**2/2 + 35532*p + 17672 = 0. What is p?
-188, -1
Determine h, given that 4*h**5 + 52*h**4 + 260*h**3 + 620*h**2 + 696*h + 288 = 0.
-4, -3, -2, -1
Find n, given that 5*n**3 - 460*n**2 + 1775*n - 1320 = 0.
1, 3, 88
Factor 6*q**3/7 - 12*q**2/7 - 30*q/7 + 36/7.
6*(q - 3)*(q - 1)*(q + 2)/7
Factor s**5 + 158*s**4 + 6984*s**3 + 58928*s**2 + 156880*s + 131424.
(s + 2)**2*(s + 6)*(s + 74)**2
Find p, given that -2*p**5/9 - 38*p**4/9 - 202*p**3/9 - 298*p**2/9 - 44*p/3 = 0.
-11, -6, -1, 0
Suppose 50*t**5/3 + 30*t**4 - 2*t**3/3 - 82*t**2/3 - 16*t - 8/3 = 0. Calculate t.
-1, -2/5, 1
Factor k**5 + 15*k**4/4 + 3*k**3 - k**2.
k**2*(k + 2)**2*(4*k - 1)/4
Suppose 2*b**5 - 14*b**4 - 22*b**3 + 38*b**2 + 76*b + 32 = 0. Calculate b.
-1, 2, 8
Factor 10*r**2 + 124*r + 1922/5.
2*(5*r + 31)**2/5
Factor 3*a**3 + 972*a**2 + 104976*a + 3779136.
3*(a + 108)**3
Let 3*c**2 + 330*c + 9075 = 0. What is c?
-55
Solve 10*b**4 - 1195*b**3 + 47400*b**2 - 616000*b - 320000 = 0 for b.
-1/2, 40
Suppose -2*h**4 + 8*h**3 + 12*h**2 - 8*h - 10 = 0. What is h?
-1, 1, 5
Determine s, given that -s**4/2 - 253*s**3 + s**2/2 + 253*s = 0.
-506, -1, 0, 1
Let 4*g**3 + 36*g**2 + 24*g - 64 = 0. What is g?
-8, -2, 1
Factor -2*l**3/15 - 2026*l**2/15 - 514096*l/15 - 512072/15.
-2*(l + 1)*(l + 506)**2/15
Find h such that 4*h**2/5 + 232*h/5 + 3364/5 = 0.
-29
Determine r, given that -r**2/4 - r - 3/4 = 0.
-3, -1
Find r such that 14*r**2/19 + 26*r/19 = 0.
-13/7, 0
Factor 3*d**4 + 87*d**3.
3*d**3*(d + 29)
Determine f so that 2*f**4/13 + 28*f**3/13 - 62*f**2/13 + 32*f/13 = 0.
-16, 0, 1
Find q, given that 3*q**5/2 + 27*q**4/4 + 15*q**3/4 - 45*q**2/4 - | {
"pile_set_name": "DM Mathematics"
} |
1839
0.22*-0.02
-0.0044
0 * 4.52
0
126 * 0.01
1.26
Calculate -0.7*0.09.
-0.063
2 times 63.5
127
What is the product of 4 and -451?
-1804
Multiply -5 and -472.
2360
Work out -5 * -19.
95
-0.3*0.014
-0.0042
Calculate 0.5*0.0663.
0.03315
1 times 3
3
What is -2395 times -4?
9580
Multiply 1905 and -3.
-5715
What is 295 times 0.2?
59
-1*-0.29
0.29
4*72
288
Calculate -56.5*-0.2.
11.3
Calculate -1649*-6.
9894
Product of -0.037 and -29.
1.073
What is 7 times -1678?
-11746
0.5 times 13.7
6.85
Product of -4.282 and -3.
12.846
-5 times -516
2580
Work out -0.83 * -288.
239.04
4 * -3049
-12196
Work out 12.5 * -0.05.
-0.625
Product of 0.0277 and 2.
0.0554
0.3 times 0.028
0.0084
Work out -0.22769 * 0.5.
-0.113845
-473*0.6
-283.8
Calculate -118*12.
-1416
Work out 5 * -0.0952.
-0.476
-0.01 * -3.5
0.035
722*0.3
216.6
0.5 * 2.217
1.1085
Calculate -22.62*-1.
22.62
Calculate -32*25.
-800
Multiply -6 and 0.74.
-4.44
What is the product of -3 and 1.46?
-4.38
What is -3152 times 0.5?
-1576
Calculate -5.6*13.
-72.8
What is 2.1 times -36?
-75.6
0.3 * -2.2
-0.66
Multiply 0.0257 and -3.
-0.0771
Product of -1 and 0.064.
-0.064
Product of -1462 and 2.
-2924
What is the product of 25 and 260?
6500
Calculate -1*-3.
3
Multiply -1.5 and -0.02.
0.03
31460 times 0
0
What is 0.0565 times 5?
0.2825
What is 24 times -1?
-24
What is the product of 177 and 7?
1239
Work out 0.1 * -0.152.
-0.0152
Product of -4 and -31.
124
Work out 2 * 104.
208
15.89*0.6
9.534
0.021 * 0.6
0.0126
-0.3*0.012
-0.0036
21*-1
-21
What is the product of 31.2 and 3?
93.6
Work out -0.5 * -0.034.
0.017
What is the product of 3 and -11?
-33
Work out -0.9 * 0.6.
-0.54
11 times 2.87
31.57
86 * 221
19006
-1.49*124
-184.76
-9 * -0.45
4.05
What is 0.1751 times 8?
1.4008
-162 * -1.4
226.8
Multiply -0.7 and -47.
32.9
-5027 times 5
-25135
Multiply 3815 and 3.
11445
Calculate 0.04*0.02.
0.0008
0.3 times 191
57.3
What is the product of -1.4 and -23?
32.2
Product of -0.03 and 0.044.
-0.00132
What is 668.9 times 4?
2675.6
What is the product of -0.1477 and 4?
-0.5908
What is 0.2 times -66?
-13.2
Multiply 8.44 and 0.2.
1.688
0.063*0.5
0.0315
-1.64 times -41
67.24
-0.2 * 0.049
-0.0098
Product of -67 and -0.2.
13.4
What is the product of -0.2 and -0.003?
0.0006
What is the product of -9 and -582?
5238
-88.3 times 0.4
-35.32
Multiply 1383 and -3.
-4149
Multiply 48 and -96.
-4608
Work out -2 * -3240.
6480
What is the product of 0.06 and 953?
57.18
What is the product of 3 and -536?
-1608
Multiply -4 and -1.1.
4.4
-2 * -0.822
1.644
0.9*-6.4
-5.76
What is the product of 0.1 and -0.043?
-0.0043
0.2 * 76
15.2
Product of -0.1 and 72.
-7.2
-1.5*-0.3
0.45
Work out 99.2 * 0.3.
29.76
2 * -3.1
-6.2
-2.46 times -3
7.38
Calculate -3.759*0.5.
-1.8795
Product of 2 and -0.32.
-0.64
What is the product of -0.0468 and -0.3?
0.01404
43 times -20
-860
Multiply -104.3 and -0.5.
52.15
What is the product of -3.4 and -0.1?
0.34
Multiply 2.34 and 27.
63.18
Work out -117 * -0.12.
14.04
Product of 64 and -351.
-22464
0.4 * -694
-277.6
-0.0498 times 4
-0.1992
3*11.47
34.41
Multiply 0 and -261.
0
-2.8 * 131
-366.8
-18 * 0.17
-3.06
Product of -6 and 4.407.
-26.442
2 * 1.429
2.858
What is the product of -6 and -44?
264
What is the product of 10 and -1?
-10
-5 * 407
-2035
99*-0.1
-9.9
What is the product of -3 and -11?
33
-5 * -20
100
What is the product of 9.32 and -1?
-9.32
-0.03 times -50
1.5
-66.5 * 7
-465.5
Calculate -1525*-0.5.
762.5
3 * 0.178
0.534
Multiply 39 and -1.75.
-68.25
Calculate -93.1*-0.4.
37.24
-0.05*18
-0.9
0.3 times -7
-2.1
8 * -0.6
-4.8
Multiply -0.1 and -0.741.
0.0741
What is 2.1 times -0.3?
-0.63
Product of 0.16 and 85.
13.6
What is 0.4 times -0.84?
-0.336
What is the product of -0.5 and -102?
51
Work out 0.06 * 3.9.
0.234
Product of -252 and -3.
756
Work out 2 * 0.0596.
0.1192
What is the product of 4 and 189?
756
-0.1*-4.1
0.41
Product of -73.4 and -0.3.
22.02
What is 7 times 96?
672
What is -0.1 times 1692?
-169.2
-0.2 * 0.021
-0.0042
0.4 times 5085
2034
-1.53 times -0.17
0.2601
What is the product of 5 and 2.95?
14.75
What is the product of 0.5 and 441?
220.5
-5 * -49
245
What is -93 times -0.2?
18.6
Work out -0.5 * 4.2.
-2.1
Multiply 4.13 and 8.
33.04
Work out -32 * 0.16.
-5.12
Product of -0.6 and -2.
1.2
Multiply 0.0577 and -1.2.
-0.06924
0.3 * -78
-23.4
What is -0.21 times 0.48?
-0.1008
Multiply -0.37 and -0.91.
0.3367
What is -46 times -0.02?
0.92
Work out 1040 * 0.06.
62.4
Product of 138 and -0.02.
-2.76
46 times 0.17
7.82
-5.551 * -0.1
0.5551
Calculate -55.8*3.
-167.4
Work out -24 * -40.
960
Calculate -6*-72.
432
-58 times 45
-2610
286.3 times -1.6
-458.08
What is the product of 2 and 0.865?
1.73
-4.8*0.7
-3.36
Calculate -2*-0.0329.
0.0658
Product of -0.23 and 25.
-5.75
Calculate -6*-0.1.
0.6
Multiply -0.155 and 0.07.
-0.01085
What is the product of 0.2 and -572?
-114.4
0 * -19.02
0
What is the product of 0.1 and 364?
36.4
What is the product of 0.57 and -3?
-1.71
1 * 0.19
0.19
Calculate 5*-0.0025.
-0.0125
What is the product of -0.11 and 20?
-2.2
Product of -0.1 and -677.
67.7
-11 times -0.14
1.54
28*-0.08
-2.24
1.8*-1.7
-3.06
Multiply 4 and -15.8.
-63.2
1 times -0.0391
-0.0391
-9556*3
-28668
-0.2 times -22
4.4
Calculate 1117*2.
2234
What is -0.033 times -0.2?
0.0066
0.065 * -0.112
-0.00728
3.6 times 0.63
2.268
Product of 28 and -1.3.
-36.4
-1 times 0.1
-0.1
Multiply -0.0326 and -5.
0.163
What is the product of 282 and 0.6?
169.2
What is -0.4 times 168?
-67.2
-2.5 times 0.08
-0.2
Product of 319 and 0.
0
-1.64 times -5
8.2
-0.244*-34
8.296
1.6 * 0.5
0.8
What is -5 times -21?
105
Calculate -3*-21.
63
-0.5 * -343
171.5
0.3674*0.5
0.1837
What is -67 times -7?
469
-2 times -118
236
What is the product of 0.302 and 138?
41.676
Work out -0.04 * 94.1.
-3.764
Calculate 0.2*147.
29.4
-0.26 * 0.5
-0.13
Calculate 0.14*-671.
-93.94
Product of -0.2 and 88.
-17.6
-0.59 times 6
-3.54
-0.4 * 2854
-1141.6
Work out 0.3 * 6.1.
1.83
-1*-66
66
-3*-9.14
27.42
What is the product of 46.9 and -8.3?
-389.27
Multiply -0.5 and -41.
20.5
Calculate 5*5.2.
26
0.7 times 0.04
0.028
Multiply 0 and -0.145.
0
Work out -1 * 53.
-53
Product of -12 and -0.8.
9.6
What is the product of 0.1 and 80?
8
What is the product of 0.0201 and 0.4?
0.00804
1*6634
6634
Multiply 0.1 and 1.2.
0.12
Multiply 10.6 and -0.02.
-0.212
Product of -15 and -0.034.
0.51
-0.3 times -2.04
0.612
What is -44 times -0.9?
39.6
0.299 times 3
0.897
Multiply 0.12 and -38.
-4.56
What is -4 times 113?
-452
Multiply 2.49 and -4.
-9.96
What is the product of -71 and 0.14?
-9.94
-0.4 times -1764
705.6
Calculate -41.4*-0.3.
12.42
0.4571 times -4
-1.8284
Work out -50 * 0.4.
-20
Product of -0.05 and -7.
0.35
0.17*3.2
0.544
What is the product of -2.319 and -0.5?
1.1595
-6 * -10
60
Multiply 56 and 1.73.
96.88
-0.2 * -0.088
0.0176
Multiply -1.2 and -390.
468
Work out 268 * -5.
-1340
Calculate 7*1.6.
11.2
-46 * 127
-5842
What is the product of 34 and -0.05?
-1.7
Multiply -614 and -11.
6754
-0.4 times -9.98
3.992
Product of 5 and 513.
2565
Product of 0.2 and 0.099.
0.0198
What is the product of -76 and 0.6?
-45.6
3885 * 1
3885
Product of 0.0146 and -3.
-0.0438
Multiply 81 and -0.145.
-11.745
Work out 0.07 * -1.55.
-0.1085
Product of -0.04 and -131.
5.24
0.4 * -37
-14.8
Product of 2 and 1260.
2520
0.9 times 0.179
0.1611
What is the product of -0.11 and 8?
-0.88
-15*-5
75
-1 * 260
-260
Work out -115 * 0.06.
-6.9
What is the product of 1.61 and -9?
-14.49
3 * 0.056
0.168
Product of 0.1 and 0.3.
0.03
Work out -0.563 * -3.
1.689
Calculate 7.66*4.
30.64
Calculate -17*0.021.
-0.357
Product of -254.3 and -4.
1017.2
Calculate 8.49*9.
76.41
Work out 5 * 231.
1155
Product of -0.4 and -0.75.
0.3
Product of 0.3 and -84.
-25.2
651 times 18
11718
7.7*-4
-30.8
2 * -211
-422
Calculate -0.01*0.1.
-0.001
0 * 94
0
Product of 125 and -0.2.
-25
5*-0.0827
-0.4135
Multiply 0.017 and 10.
0.17
-13 times -252
3276
Product of 24 and -0.3.
-7.2
Calculate 0.2*37.
7.4
-0.2*-5.5
1.1
What is -10 times -0.03?
0.3
Product of -146 and 0.
0
-1823 * 5
-9115
-2272*0.5
-1136
14*-661
-9254
1 times 0.041
0.041
What is the product of 0.4 and 3.67?
1.468
-43122 * 4
-172488
-2.95 * 3
-8.85
Multiply -0.5 and -94.
47
What is -29.1 times 0.33?
-9.603
Calculate -17*-1.
17
Multiply -1 and 119.
-119
Product of -339 and 0.
0
2.1*-47
-98.7
-69 times -79
545 | {
"pile_set_name": "DM Mathematics"
} |
5, -3?
-1105
What is the fourth biggest value in -2, 14, 5, 342, 17, 3/5, -4?
5
Which is the third smallest value? (a) 0.35 (b) 4 (c) -50/21 (d) -1.3 (e) -0.2 (f) -2/3
f
Which is the biggest value? (a) -4 (b) 1499/8 (c) -1 (d) -0.3 (e) -2 (f) 1/2 (g) 43
b
Which is the fourth biggest value? (a) -5 (b) -0.2 (c) -1/3 (d) 7/5 (e) 8 (f) 29
b
Which is the sixth smallest value? (a) -0.9 (b) -0.3 (c) 3336 (d) 5 (e) 0.5 (f) -2/7 (g) 3
d
Which is the biggest value? (a) -122/91 (b) -456 (c) 2/53
c
Which is the seventh biggest value? (a) 0.09 (b) -1/8 (c) -1 (d) -6 (e) -4 (f) -46/7 (g) -2
f
What is the fourth biggest value in -1/6, 305197, 0, -1, -4?
-1
What is the fifth biggest value in -3, -0.09, 2/7, -653/5, -0.08?
-653/5
Which is the second biggest value? (a) -0.13 (b) -1/7 (c) 0.16 (d) 2/17 (e) -0.15 (f) 1/5 (g) 3/31
c
Which is the third biggest value? (a) 0 (b) -5 (c) 2 (d) 13 (e) 18.1 (f) -0.08
c
Which is the smallest value? (a) 1/3 (b) -13/2 (c) -967.882
c
Which is the fifth smallest value? (a) -12 (b) 4 (c) 226 (d) -3 (e) 33 (f) -1 (g) 0.9
b
What is the fifth smallest value in 5, -2, -0.74, 105, 2/29?
105
Which is the smallest value? (a) -2/7 (b) 3 (c) 0.5 (d) -1217054
d
What is the second smallest value in -1, -1/2, 0.5, 7/2, 0, 589, 2?
-1/2
Which is the fourth biggest value? (a) -3 (b) 1/5 (c) -0.2 (d) -5447 (e) -1.876
a
Which is the fourth smallest value? (a) -1/1388 (b) -3 (c) 0.4 (d) 0 (e) 2 (f) -95/6
d
Which is the sixth biggest value? (a) -6.3 (b) 9/11 (c) -2 (d) 2 (e) -9/11 (f) -4
a
Which is the sixth biggest value? (a) 0.034 (b) 0.3 (c) -13/9 (d) -1/6 (e) 14 (f) -4
f
What is the seventh smallest value in 0.5, -10, -0.3, 3/8, 0.2, 5, 103.19?
103.19
Which is the smallest value? (a) -3 (b) 4 (c) -2 (d) -14 (e) 247121
d
What is the biggest value in 5, 1, -1348301/31?
5
What is the third biggest value in 0.0359, 16, 42?
0.0359
Which is the third smallest value? (a) -3/1285 (b) -2/13 (c) 1/1449
c
Which is the second biggest value? (a) -4 (b) -0.14 (c) 3 (d) 1 (e) 397 (f) 46 (g) -2/3
f
What is the fifth biggest value in 1, -0.049, 4/23, -4, -5, 21?
-4
What is the smallest value in -48/23, 120, -1/73, -0.4?
-48/23
What is the second smallest value in -9/386, 299, -27?
-9/386
What is the biggest value in 9, 193.87, 2/19?
193.87
What is the second biggest value in 25, -7, 0.8, 1/9, -0.3, 5, 3/2?
5
What is the biggest value in -48, -2, 951/11?
951/11
What is the biggest value in -0.09, -1/4, -6/13, 0.074?
0.074
Which is the second smallest value? (a) 1.59 (b) 162 (c) -1/24
a
What is the smallest value in 5, -34/3, 9584?
-34/3
Which is the seventh smallest value? (a) 9 (b) 2 (c) -1/6 (d) -1/2 (e) 12 (f) -73 (g) -2/9
e
Which is the second biggest value? (a) 321822 (b) 1 (c) -2/13 (d) -2
b
Which is the second smallest value? (a) 40/2649 (b) -1666 (c) 1/4
a
What is the second smallest value in -0.1, -2/9, -0.6, -0.08, -2418?
-0.6
Which is the fourth smallest value? (a) -0.851 (b) 10 (c) -21/10 (d) 0.02 (e) 2
e
What is the second biggest value in -0.405, -0.091, 1/4?
-0.091
What is the third smallest value in -54.761, 152, -2?
152
Which is the smallest value? (a) 4/3 (b) -0.06 (c) 0.04805 (d) 0.2 (e) 0.7
b
What is the biggest value in 3/8, 545344, -2/5?
545344
What is the fourth biggest value in -6002, -1/14, -5, 0.7?
-6002
Which is the biggest value? (a) -114617 (b) -1/2 (c) 2/25 (d) 2
d
What is the second smallest value in -0.3, -4, 1667884, 0.4?
-0.3
Which is the smallest value? (a) -16 (b) -278800 (c) 1 (d) 0.1 (e) 4/3 (f) -1/7
b
What is the second biggest value in -49/4, 1/425, -2/11?
-2/11
Which is the biggest value? (a) -4/7 (b) 29/7 (c) 9402
c
Which is the third biggest value? (a) 3484 (b) -3/2207 (c) 1/2
b
What is the third smallest value in -12, 174/25, 0.6, 1, -3, -5/4, -0.2?
-5/4
What is the smallest value in -784712, 0.12, 0.3?
-784712
Which is the second smallest value? (a) 2 (b) 0 (c) -0.06 (d) 175 (e) 5 (f) 1156
b
Which is the fifth smallest value? (a) 4 (b) 61 (c) -130 (d) 8 (e) -2/3
b
Which is the smallest value? (a) -2/5 (b) -47.3 (c) -961 (d) -5 (e) -21/4
c
Which is the second smallest value? (a) -4573 (b) -2 (c) -0.4 (d) -1/2179
b
Which is the third biggest value? (a) -0.1 (b) 601 (c) -13887
c
What is the smallest value in -3, 267, -2/11, 0.2, -43, -0.3, 5?
-43
What is the third biggest value in 2202, 1/17, 467, -11?
1/17
Which is the fourth smallest value? (a) -0.1 (b) -0.3 (c) -4/3 (d) 4 (e) -6 (f) 1/262625 (g) 0
a
What is the fourth biggest value in 2, -0.4, -0.043, 0.5, -78?
-0.4
Which is the fourth smallest value? (a) -2 (b) 4752 (c) 1 (d) -233
b
Which is the fifth smallest value? (a) 0.5 (b) 1/3 (c) -4 (d) 2/33 (e) -4/165
a
What is the second biggest value in -2, -1846/341, -1/5?
-2
Which is the fifth biggest value? (a) -5 (b) 6.6 (c) 2 (d) -2.4 (e) -4 (f) -0.4 (g) 2/447
d
What is the fifth biggest value in -0.39, 338/11, 2.8, -0.4, -2, -2/23?
-0.4
Which is the second biggest value? (a) 8 (b) 0.04382 (c) 1 (d) -3/10
c
What is the third biggest value in -1/8, 49/24, 1, -46695?
-1/8
Which is the sixth biggest value? (a) 1/11 (b) -8 (c) 2/17 (d) 4 (e) 130 (f) 12
b
What is the second biggest value in -22808171, -8/5, 1?
-8/5
Which is the smallest value? (a) 2/3 (b) 7 (c) 312 (d) 15 (e) -28 (f) -0.1
e
What is the third biggest value in -88, -2, 5/4, -108/13, 0.5, 0.2?
0.2
Which is the fourth smallest value? (a) 4/3 (b) -18/13 (c) 2/13 (d) 1/5 (e) 1/9 (f) -1/7
c
Which is the third biggest value? (a) 1 (b) -13108698 (c) 0.4
b
Which is the fourth smallest value? (a) -4 (b) 569/4 (c) -2 (d) -1/7 (e) -406
d
Which is the smallest value? (a) 0.03 (b) -2 (c) -672 (d) 0.06
c
What is the third biggest value in 286, -4, 8, 3/2, 1/3?
3/2
What is the second smallest value in 0.08303308, 4, -4/9?
0.08303308
What is the fifth smallest value in -2/5, -1/5, -3, -2/3, 0.449, -2/27?
-2/27
What is the sixth biggest value in 0.03, -3/7, -2, 84, 0.01, 0.2, -0.3?
-3/7
What is the third biggest value in -0.4, 1.8, -1, 6, 2/5, 514, -0.17?
1.8
Which is the third biggest value? (a) -0.9 (b) -278 (c) 2/5 (d) 143
a
What is the biggest value in 415, -3/7, -4, 0.0492?
415
Which is the second biggest value? (a) -46 (b) 5 (c) 0 (d) -0.2 (e) -2/5 (f) -384
c
Which is the sixth smallest value? (a) 4 (b) -16623 (c) -4/7 (d) -2 (e) -0.4 (f) 1/5
a
Which is the fourth smallest value? (a) -373 (b) -8 (c) 120/7 (d) -0.1 (e) 3 (f) -43
d
Which is the fourth smallest value? (a) 46 (b) 0.33 (c) -61 (d) 0.1 (e) 1 (f) -1/3 (g) -0.4
d
Which is the second smallest value? (a) -2 (b) 12 (c) -8/133051
c
Which is the smallest value? (a) 0 (b) -2 (c) -17/3 (d) -1/2 (e) 3677 (f) 1
c
Which is the biggest value? (a) -2 (b) -2096.4 (c) 60.5
c
What is the seventh biggest value in 1, 2/17, 0.4, -18, 3/7, 2/777, -0.1?
-18
Which is the fifth biggest value? (a) -12 (b) -2/23 (c) 1 (d) -1388 (e) -0.2
d
What is the second biggest value in -2.5, 0.1, -103467/23?
-2.5
Which is the sixth smallest value? (a) -5 (b) 1 (c) -99 (d) -1310 (e) -0.13 (f) 5
f
What is the third smallest value in -3.7, 0.945, -2/921?
0.945
Which is the third biggest value? (a) -1.431 (b) -1/3 (c) -3/127232
a
What is the fourth smallest value in -32, 0.1, -6, -18, 90?
0.1
Which is the second biggest value? (a) -1553 (b) 0.15 (c) 24 (d) 0
b
What is the second smallest value in 1/11, 2/3, 1/3, -2/23, 1115/14, -69?
-2/23
What is the smallest value in -5058, 4, 14394?
-5058
Which is the sixth smallest value? (a) -4 (b) 2.3 (c) -8.54 (d) 2 (e) -0.2 (f) -3/5
b
Which is the fifth smallest value? (a) 0.2266 (b) -0.2 (c) 2/3 (d) 0.5 (e) -65 (f) 0
d
Which is the second smallest value? (a) -84/65 (b) 6/17 (c) -4 (d) -0.1 (e) -2 (f) -0.5 (g) -1
e
Which is the second biggest value? (a) -1 (b) -4 (c) 2/3 (d) 4 (e) 12676 (f) 0.07
d
What is the third biggest value in -0.5, -1794, 11/147?
-1794
What is the third smallest value in 1/4, 0, 47143828?
47143828
Which is the second smallest value? (a) 21 (b) -59432 (c) -0.5
c
Which is the | {
"pile_set_name": "DM Mathematics"
} |
g. What is the tens digit of m?
2
Let z(a) = 9*a**3 - 3*a. Let x be z(2). Suppose -3*r + k + 388 = x, -4*r = -5*k - 433. What is the tens digit of r?
0
Suppose 5*x + 18 = -m, 2*x - 18 = 4*x + 4*m. Let u(g) = -g**2 - 10*g - 1. Let w be u(x). Suppose 5 - w = -5*j. What is the units digit of j?
3
Let t(q) = 13*q - 10. Suppose -3*a + 7*a + y - 17 = 0, y + 4 = 3*a. Let d be 7 - (a + -2)*3. What is the units digit of t(d)?
2
Let k(a) be the first derivative of -a**3/3 + 6*a**2 - 2*a + 1. Let d be -15*(185/50 - 4)*2. What is the tens digit of k(d)?
2
What is the hundreds digit of 1972/4 - (0 - 1)?
4
Let z = -26 + 31. Suppose z*o + 426 = 4*v, -4*o + 7*o = 4*v - 422. What is the tens digit of v?
0
Let n(c) = 706*c**2 - 18*c + 17. What is the tens digit of n(1)?
0
Let k(c) = -c - 40. Let g be k(0). Let n be (32/g)/((-4)/50). Let f = 15 + n. What is the units digit of f?
5
Let x(r) = r**2 - 24*r + 2. Let a be x(24). Suppose 0 = -a*f + 3 + 17. What is the units digit of f?
0
Suppose -2*m - 5*i + 6 = 0, -i + 5*i = -2*m + 6. Suppose 0 = -m*h + 1005 - 318. What is the hundreds digit of h?
2
Let j be (-10 - -11)/(2/(-14)). Let d = j - -21. What is the units digit of 120/d + (-36)/63?
8
Suppose -2*i - 5*c = 11, -4*i + c = 6*c + 7. Suppose 4*d - d - 5*w - 92 = 0, d - i*w = 32. What is the tens digit of d?
2
Suppose 0 = 2*u - 5*j - 528, -2*u - 3*u + 2*j + 1341 = 0. What is the tens digit of u?
6
Suppose 0 = 2*o - 2*z - z + 16, 5*z - 16 = -2*o. Let n(g) = 1. Let d(l) = -12*l - 6. Let m(p) = d(p) + 6*n(p). What is the tens digit of m(o)?
2
Suppose 0 = -6*i + 424 - 118. What is the tens digit of (80/24)/(2/i)?
8
Let t be (1 + 22)/((-5)/(-10)). Suppose -x - x = -t. What is the units digit of x?
3
Let n(c) be the third derivative of 0*c + 1/20*c**5 + 0*c**3 + 2/5*c**6 - 1/12*c**4 + 0 + 6*c**2. What is the units digit of n(1)?
9
Let o(i) = i - 6. Let x be o(7). Let y be 0 - (0 - x) - 0. Suppose -3*h = k - 12, 3*h + 2*k + y = 10. What is the units digit of h?
5
Let i(j) = -j**3 + 9*j**2 + 8*j - 30. Let p be i(6). Suppose -r + p = -0*r. What is the units digit of r?
6
Let b = -2047 + 3779. What is the thousands digit of b?
1
Let c(g) = -g**3 - 10*g**2 - 10*g - 4. Let r be c(-9). Let o(d) = -3*d**2 + 23*d**2 - 3*d + 2 + r*d - 16*d**2. What is the units digit of o(-2)?
4
Suppose -14*b = -13*b - 1121. What is the tens digit of b?
2
Let m(s) = 2*s**3 - 3*s**2 - 7*s + 31. Suppose 5*k = 2*r + 8*k - 27, 2*k - 16 = -r. What is the hundreds digit of m(r)?
3
Let t = 44 - 28. Let h(u) = -7 - 7*u + t + u**2 - 2*u. What is the units digit of h(9)?
9
Suppose -3*n = -5*j + 2*j + 1044, -2*j = n - 696. What is the hundreds digit of j?
3
Suppose r = -4*v - 4*r - 86, -3*v - 67 = 5*r. Let o = -15 - v. Suppose -6 + 71 = o*c - d, -c + 20 = -4*d. What is the units digit of c?
6
Suppose -58*o + 60519 = -29613. What is the thousands digit of o?
1
Let i = 5885 - 3401. What is the hundreds digit of i?
4
Suppose 3*b = p + 553, 3*b + p + 187 = 4*b. Let z = b + 79. What is the hundreds digit of z?
2
Suppose 51923 - 16184 = 19*q. What is the units digit of q?
1
Suppose 4*c = 21 + 11. Suppose -c*j = -112 - 952. What is the hundreds digit of j?
1
Let f = -2 - -4. Let n(g) = 5*g + 5. Let b(u) = -3*u - 2. Let s(h) = f*n(h) + 5*b(h). What is the units digit of s(-1)?
5
Let q be -1*(-6 + 3) + -3. Suppose -m + 12 + 25 = q. What is the units digit of m?
7
Let o be 4/22 + (-15216)/(-44) + 1. Suppose 0 = 3*p + 5*j - 302, 0 = -3*p - 3*j + 7*j + o. What is the tens digit of p?
0
Let j(s) = s + 2*s + 1 - 5. Let f be j(3). Suppose 9*h - 40 = f*h. What is the units digit of h?
0
Suppose -12 = -3*i - 0. What is the tens digit of ((-3)/((-12)/(-82)))/(i/(-24))?
2
Let c(l) be the second derivative of -l**5/20 + 2*l**4/3 - l**3/3 + 5*l**2 - 4*l. Let m be c(8). Let d = m + 22. What is the tens digit of d?
1
Let k be 2 - -1 - (-3 + 4). Suppose -k*v = v. Suppose -d = -2*q + 7, -3*d - d + 5*q - 13 = v. What is the units digit of d?
3
Let w = 6 + -5. What is the units digit of (-172)/(w - 3) + -2?
4
Let z(t) be the first derivative of t**5/120 + 17*t**4/8 + 2*t**3/3 - 11. Let j(h) be the third derivative of z(h). What is the tens digit of j(0)?
5
Let b = 97 + -31. Suppose -4*n - z = 4*z - 157, -2*z - 112 = -3*n. Suppose b = 4*w - n. What is the units digit of w?
6
Suppose -2 = 5*k - 4*g + g, -14 = -3*k - 2*g. Let i(a) = 5*a + 2*a + a**k - a - 2. What is the units digit of i(-8)?
4
Suppose -17 = 2*o - 1. Suppose -3*b - 12 = -3*i, 4*i - b - 21 - 10 = 0. Let s = i + o. What is the units digit of s?
1
Let f(x) = 4*x**2 - 3*x. Let k be f(2). Suppose -k = -2*v - h, 4*v + 4*h + h - 20 = 0. Let m = 5 + v. What is the units digit of m?
0
Let h(m) = 37*m**2 - 4*m + 5. Let w(u) = -37*u**2 + 4*u - 4. Let s(a) = -5*h(a) - 6*w(a). What is the tens digit of s(2)?
3
Let f = 736 + -205. What is the hundreds digit of f?
5
Suppose 145 = j + 5*s, -2*s - 391 = -3*j - 6*s. What is the tens digit of j?
2
Suppose -2*y + 2728 = 2*n, -13*n + 15*n = 5*y - 6799. What is the tens digit of y?
6
Let r = -1679 + 2363. What is the hundreds digit of r?
6
Let j(h) = h**3 - 9*h**2 + 8*h + 5. Suppose 12 = 3*c - 12. What is the units digit of j(c)?
5
Let d(n) be the second derivative of -5*n**3 - n - 6*n + 6*n**3 + n**3. What is the tens digit of d(1)?
1
Let z(p) = 21*p + 91. Let d be z(0). Let g(u) = -46*u**3 + 2*u**2 - 2*u + 1. Let t be g(1). Let q = d + t. What is the units digit of q?
6
What is the hundreds digit of 1*862*(0 + 2)*1?
7
Let d be (0*(3 + -8 - -4))/1. Suppose -2*u = -2*j + 368, 2*u + 2*u + 4 = d. What is the hundreds digit of j?
1
Suppose -14*s = 3065 - 16701. What is the hundreds digit of s?
9
Let u(w) = -6*w - 9. Let g(v) = 1. Let b(l) = 4*g(l) + u(l). Let z be b(-3). Suppose 4*h - 3*y - y = 172, -h - 5*y = -z. What is the units digit of h?
8
Let p(n) = -2*n + 16. Let g be p(7). Suppose 2*o + 20 = 5*b, g = -2*b - b + 4*o. What is the units digit of b?
6
Let d(m) = 2*m + 63. Let b(w) = w + 31. Let r(p) = 7*b(p) - 3*d(p). What is the tens digit of r(-15)?
1
Let j(k) = -k**3 + 16*k**2 + 12*k - 24. Let l be j(10). Suppose q + 5*q - l = 0. What is the units digit of q?
6
Let b(r) = r**2 - 2*r - 7. Let y be b(3). Let p(i) = -3*i**3 - 2*i**2 + 5*i + 3. What is the hundreds digit of p(y)?
1
Let k = -2554 - 1270. Let x be k/120 + (-4)/30. Let g = -23 - x. What is the units digit of g?
9
Let b be 179700/84 - (-2)/(-7). Let u be (-1)/(-7) + b/21. Suppose 0*w - 2*w - 4*k + 42 = 0, u = 4*w + 2*k. What is the tens digit of w?
2
Let d = 39 - 57. Let j = d - -107. What is the units digit of j?
9
Let j(a) be the second derivative of -a**3/6 + 28*a**2 + 4*a. Let l be j(0). Let v = l + -29. What is the units digit of v?
7
Suppose -5*o = 15, 4*y - 13 = 3*o + 12. Suppose 4*x - 27 = -j - 4*j, x = 2*j + 10. Suppose -3*s - y*b + 20 = -6, -3*s + x = -5*b. What is the units digit of s?
6
Let u(r) = 4*r**2 + 11*r + 31. Let w(k) = 2*k**2 + 6*k + 16. Let f(g) = -2*u(g) + 5*w(g). Let h = -1 - 5. What is the tens digit of f(h)?
4
Suppose 3 = 3*a - 6*a. Suppose -u = -22 - 47. What is the units digit of ((-8)/12 - a)*u?
3
Let h = 468 + -788. Let f be 3/((-12)/h)*1. Suppose 0*w - w = -4*m - 33, -2*w = -m - f. What is the units digit of w?
1
Let q(s) = s - 12*s**2 - 12*s**2 + 23*s**2 - 1. Let y(v) = 3*v - 3. Let a(j) = -q(j) + y(j). What is the units digit of a(2)?
6
Let s(n) be the first derivative of 4*n**2 + 7*n + 2*n**3 - 1 - 1/4*n**4. What is the tens digit of s(7)?
1
Let t(s) = s**3 - 10*s**2 + 15*s + 13. Let b be t(8). Suppose -f - 2*f - 51 = 0. Let z = b - f. What is the units digit of z?
2
Let r be 4 - 2 - (-27)/3. Let x = r + -19. Let v = x + 10. What is the units digit of v?
2
Suppose -1 = -4*s + 23. Suppose 3*i = y + 68, s + 6 = 3*y. What is the units digit of i?
4
Suppose 1246 = 13*r - 68369. What is the hundreds digit of r?
3
Let d(l) = 39*l**2 - 4*l. Let o be d(-2). Suppose 3*c - c = o. What is the tens digit of c?
8
Suppose 5*l = 5*s - 355, s = 3*l + 50 + 25. Suppose d = 0, 0*w - 3*w - 3*d = -s. What is the tens digit of w?
2
Let l(u) = 2*u**2 - 99*u - 286. What is the tens digit of l(76)?
4
Let f(m) = m**3 - 19*m**2 - 53*m + 67. What is the units digit of f(23)?
4
Suppose l = 5*t - 0*l - 90, 0 = -4*l. Suppose -34 = -3*r + 5*w + 6, t = 2*r + w. Let n = -5 | {
"pile_set_name": "DM Mathematics"
} |
*r - 43*r + y + 36*r wrt r?
124
Let h(w) = 7*w - 14 - w - 50 + 18. Let l be h(8). Find the first derivative of -l - 22*g - 60*g + 122*g wrt g.
40
Let c = 28 - 117. Let o = -65 - c. Find the first derivative of -o*b**3 + 28*b - 17*b + 26 - 11*b wrt b.
-72*b**2
Let w(b) be the first derivative of 0*b**2 - 7 + 18*b**3 + 7*b**5 - 1/6*b**6 + 0*b + 0*b**4. Find the third derivative of w(p) wrt p.
-60*p**2 + 840*p
Let f(q) be the third derivative of -q**5/60 - 383*q**4/24 + 872*q**3/3 - 207*q**2 - 1. What is the first derivative of f(i) wrt i?
-2*i - 383
Suppose 3*s + 16 = 5*s - 2*j, 16 = 5*s + 3*j. Find the first derivative of s*t - t**2 - 1 + 44 + 0*t**2 + 0*t**2 wrt t.
-2*t + 5
Let s(o) be the first derivative of -1799*o**4/4 - 11*o**3 - 1128. What is the third derivative of s(c) wrt c?
-10794
Differentiate -37*i**2 + 13*i**2 - 387 - i**4 + 14*i**2 + 10*i**2 + 273*i**3 with respect to i.
-4*i**3 + 819*i**2
Suppose -26 - 6 = 2*c. Let s be 4*(12/c)/(-1). Differentiate 10 + 0 + s*i - 2 + 3*i with respect to i.
6
Find the third derivative of -5862*v + 279*v**6 - 1879*v**6 + 5860*v - 1389*v**2 wrt v.
-192000*v**3
Find the first derivative of 89685*b**3 - 89685*b**3 - 3765*b**4 - 1726 wrt b.
-15060*b**3
Differentiate -496*r**2 - 956*r + 2814 + 2869*r - 955*r - 958*r wrt r.
-992*r
Suppose 0 = 5*g + 4*q - 102, 4*g - 4*q - 66 = -2*q. Suppose 2102 - 2162 = -10*m. What is the third derivative of 6*s - 5*s**2 - 7*s**2 - m*s + g*s**3 wrt s?
108
Suppose -13*h - 162 = -10*h. Let z = 64 + h. Find the first derivative of -9*a**4 + 5*a - z + 0 - 5*a wrt a.
-36*a**3
Suppose 5*h = -2*q + 203, 2*q + 23 = h - 2*q. Suppose 72 = -9*a + 21*a. What is the second derivative of a*v + 13*v - h*v - 9*v**3 wrt v?
-54*v
Suppose -5*v = -70 - 10. Suppose 0 = -5*h + 9*h - v. What is the second derivative of 12*w - 8*w**2 - 2*w**2 + h*w**2 - 11*w**2 wrt w?
-34
Let q(z) be the second derivative of -868*z**4/3 + z**3/6 + 5273*z**2/2 + 2*z + 2038. What is the second derivative of q(k) wrt k?
-6944
Let n = -30386 - -30392. Let l(w) be the third derivative of 0 + 0*w**5 + 0*w - 28*w**2 + 7/40*w**n + 0*w**4 + 31/6*w**3. Differentiate l(y) wrt y.
63*y**2
What is the third derivative of -3*p**3 - 103*p**2 - 206*p**2 + 5*p**4 - 7*p**3 - 430*p**2 + 0*p**4 wrt p?
120*p - 60
What is the third derivative of -2731*k - 1488*k**6 - 2644*k**6 - 96*k**2 - 2 + 2734*k + 433*k**2 wrt k?
-495840*k**3
Find the second derivative of -289*b**3 + 879*b**3 - 291*b**3 - 305*b - 57*b**2 - 291*b**3 wrt b.
48*b - 114
Let r(f) be the third derivative of 130*f**7/21 + 491*f**3/2 - 394*f**2 - f. Differentiate r(d) wrt d.
5200*d**3
Let i(t) = 279*t**2 + 5*t + 1324. Let l(o) = 558*o**2 + 10*o + 2599. Let a(x) = -5*i(x) + 3*l(x). Differentiate a(z) with respect to z.
558*z + 5
Let d(n) be the second derivative of 0 + 0*n**2 - 17/20*n**5 + 1/4*n**4 - 11/3*n**3 - 177*n. Find the third derivative of d(k) wrt k.
-102
Let v = 163 + -146. Find the first derivative of v*b - 22*b - 361 + 92 - 71*b wrt b.
-76
Let q(w) be the second derivative of 7/3*w**4 - 37/30*w**6 - 1/3*w**3 + 0*w**5 + 0 + 0*w**2 + 53*w. What is the third derivative of q(c) wrt c?
-888*c
Let t(c) be the first derivative of -1401*c**2 + 1788*c - 5508. Differentiate t(v) wrt v.
-2802
Let t(x) = 2812*x**4 + 3*x**2 - 184*x - 4. Let l(d) = -5625*d**4 - 5*d**2 + 368*d + 5. Let s(o) = -3*l(o) - 5*t(o). What is the second derivative of s(h) wrt h?
33780*h**2
Let o(n) = -n**3 + 14*n**2 - 49*n + 10. Let w be o(6). What is the first derivative of 164 + 59*x**w - 413 + 203*x**4 wrt x?
1048*x**3
Let j(n) = 780*n**2 + 5*n + 9979. Let h(u) = 130*u**2 + u + 1661. Let q(z) = -23*h(z) + 4*j(z). What is the derivative of q(g) wrt g?
260*g - 3
Let b = 3511/3288 + -15/137. Let g(n) be the third derivative of 0 + 0*n**3 - n**2 - 2/15*n**5 + 0*n + b*n**4. What is the second derivative of g(v) wrt v?
-16
Let a(n) be the first derivative of -1887*n**4/4 + 527*n**2 + 4560. Find the second derivative of a(x) wrt x.
-11322*x
Let k(q) = -2643*q**2 - 2*q + 1026. Let s(x) = 4405*x**2 + 3*x - 1707. Let g(h) = -13*k(h) - 8*s(h). Find the second derivative of g(o) wrt o.
-1762
Let b be -26*(-1 + (-1)/2) + -3. Suppose -45 = -3*j + b. What is the second derivative of m**2 - 20*m**2 - 2*m**2 - j*m wrt m?
-42
Let j(x) = 2*x + x + 2*x - 5 - 6*x. Let i be j(-8). What is the first derivative of -9*c**i - c**3 - 8*c**3 - 1 + 11 wrt c?
-54*c**2
Let f(j) = 3394*j**2 + 4*j + 7155. Let v(i) = -10218*i**2 - 11*i - 21466. Let z(b) = 8*f(b) + 3*v(b). What is the derivative of z(m) wrt m?
-7004*m - 1
Find the first derivative of 0*z**4 + 3511 + z**4 + 119*z - 820 + 96*z - 2*z**3 + 971*z wrt z.
4*z**3 - 6*z**2 + 1186
Find the first derivative of 11*b**2 + 997 - 4*b**2 + 656 - 7*b**2 - 976*b**4 wrt b.
-3904*b**3
Let f(z) be the third derivative of -19*z**6/24 + z**5/60 - 692*z**3/3 - 1191*z**2. What is the first derivative of f(x) wrt x?
-285*x**2 + 2*x
Let s(d) = 28066*d**2 - 77*d - 57777. Let y(w) = -22453*w**2 + 63*w + 46222. Let b(o) = 9*s(o) + 11*y(o). What is the first derivative of b(q) wrt q?
11222*q
Let h(b) = 31 + 2*b**2 - b**3 + b**2 + 12*b - 35. Let g be h(5). What is the third derivative of -6*r**2 + 11*r**6 - 18*r**6 + g*r**6 wrt r?
-120*r**3
What is the first derivative of 252763*w**3 - 252763*w**3 + w**4 - 2003 - 2*w**4 + 0*w**4 + 529*w**2 wrt w?
-4*w**3 + 1058*w
Let x(s) be the second derivative of -s**4/6 - 734*s**3/3 + 27*s**2 + 583*s. What is the derivative of x(z) wrt z?
-4*z - 1468
Let u be (-39)/(-12) + 26/(-8) + 3. What is the second derivative of -6*x + x + u + 2*x + 11*x**2 - 90*x**2 wrt x?
-158
Let v(m) be the second derivative of m**5/2 - 37*m**4/12 - m**3/6 + 7*m**2 - 2*m - 30. Let o(j) be the second derivative of v(j). Differentiate o(l) wrt l.
60
Let c = 5508 + -1375. Suppose -2*t + 5*t - 3*d - 9 = 0, -4*d - 6 = -t. What is the second derivative of -4133*b**t + 11*b**4 + c*b**2 - 31*b wrt b?
132*b**2
Suppose -s = -4*b - 15, -6*s = -s - b - 132. Find the second derivative of 2505 + s*m - 2505 - 20*m**2 wrt m.
-40
What is the second derivative of 330*x + 3 - 11 + 1021*x**3 + 4 + 1277*x**3 - 115*x wrt x?
13788*x
Let l(b) = -5*b**2 + 4*b**2 + 11*b - 41 - 244 + 46*b - 1. Let i(f) = -3*f**2 + 170*f - 853. Let w(u) = -4*i(u) + 11*l(u). Differentiate w(j) with respect to j.
2*j - 53
Suppose 9*u + 6*u - 630 = 0. Differentiate 130*d - 9*d**2 - 45*d - u*d - 20 - 43*d wrt d.
-18*d
Let o(t) = -2*t**5 + 5*t**4 + 414*t + 3. Let v(g) = -6*g**4 - 416*g - 2. Let j(l) = 2*o(l) + 3*v(l). Find the second derivative of j(f) wrt f.
-80*f**3 - 96*f**2
Let d(x) = 39*x - 69. Let v be d(4). Find the second derivative of -287*u + 29*u**2 + v*u + 140*u**2 + 85*u**2 - 73*u**2 wrt u.
362
Suppose 0 = -6*p + 234 - 42. Find the first derivative of 80 + p*n**3 + 17*n**3 + 10*n**3 wrt n.
177*n**2
Let z(v) = -1828*v**2 + 2*v + 1546. Let y(x) = -1829*x**2 + 2*x + 1545. Let i(r) = -3*y(r) + 2*z(r). Find the second derivative of i(f) wrt f.
3662
Let s(n) = 21*n**4 - 49*n**3 + 1591*n + 9. Let x(h) = 14*h**4 - 31*h**3 + 1061*h + 6. Let c(l) = 7*s(l) - 11*x(l). What is the second derivative of c(u) wrt u?
-84*u**2 - 12*u
Let x(f) be the first derivative of -69/4*f**4 - 3*f + 70 + 8*f**2 + 0*f**3. What is the second derivative of x(y) wrt y?
-414*y
Let z be 1/(((-4)/1)/(-4)). Suppose 0 = y + z - 6. What is the third derivative of 269*a**5 - 264*a**y + 5*a**2 + 12*a**2 wrt a?
300*a**2
Find the third derivative of -37974896*y**5 + 37974896*y**5 - 2356*y**2 - 2920*y**6 wrt y.
-350400*y**3
Suppose -6*t + 10*t = 4. Let q(x) = -x**3 - 1. Let w(n) = 18*n**4 + 5*n**3 + 2*n**2 + 29. Let r(m) = t*w(m) + 5*q(m). What is the derivative of r(y) wrt y?
72*y**3 + 4*y
Let l(c) be the third derivative of c**6/10 - 31*c**5/60 + 107*c**4/12 - c**3/6 - 767*c**2. What is the second derivative of l(x) wrt x?
72*x - 62
Suppose 39 = -9*g - 6. Let u(q) = -135*q**2 + 8*q - 21. Let s(p) = 134*p**2 - 7*p + 20. Let c(n) = g*u(n) - 6*s(n). Find the second derivative of c(o) wrt o.
-258
Let t(v) be the second derivative of -709*v**5/20 + v**3/3 - 2325*v**2/2 - 1292*v. Find the first derivative of t(b) wrt b.
-2127*b**2 + 2
Let r(v) = 46*v**2 - 1907*v - 1166. Let i(g) = -54*g**2 + 1904*g + 1167. Let l(a) = -6*i(a) - 7*r(a). What is the first derivat | {
"pile_set_name": "DM Mathematics"
} |
e terms in -1 + 165*f + 58*f + 1.
223*f
Collect the terms in -t**2 - 236579 + 236579.
-t**2
Collect the terms in -29*a**2 - 11*a**2 + 125*a**2 - 27*a**2 - 28*a**2 - 28*a**2.
2*a**2
Collect the terms in 43*o**2 - 165*o**3 + 333*o**3 + 4*o**2 + 39*o**2 - 166*o**3.
2*o**3 + 86*o**2
Collect the terms in 19761905 - 19761905 + 6*i**2.
6*i**2
Collect the terms in 69*q - 13*q**2 + 6*q**2 + 5*q**2 + 8*q**2 - 4*q**2.
2*q**2 + 69*q
Collect the terms in -z**2 + 8*z**2 + 2*z**2 - 52*z**2.
-43*z**2
Collect the terms in 770*a**2 - 781*a**2 + 58*a + 2 + 55*a - 113*a.
-11*a**2 + 2
Collect the terms in 61*w**3 - 561*w**3 - 53*w**3.
-553*w**3
Collect the terms in 495 - 250 - 242 + 2*n**2.
2*n**2 + 3
Collect the terms in 4*n**2 - 6*n**2 - 615 + 735.
-2*n**2 + 120
Collect the terms in 411615 - 411615 - 3*k + 25*k**2.
25*k**2 - 3*k
Collect the terms in -1365 + 687 + 2*t + 697.
2*t + 19
Collect the terms in 620*o - 1241*o + 98 + 622*o.
o + 98
Collect the terms in -24 + 895*p**3 + 16 + 8 - 445*p**3 - 448*p**3.
2*p**3
Collect the terms in -2*v - 460*v**3 + v + v - 445*v**3 + 893*v**3.
-12*v**3
Collect the terms in 21668*s**2 - 43361*s**2 + 21660*s**2.
-33*s**2
Collect the terms in -92*t**3 - 47*t**3 - 36*t**3.
-175*t**3
Collect the terms in 10*c**2 + 56 - 33 - 23 + 48*c**2.
58*c**2
Collect the terms in -1226 - i**3 - 1269 + 2575.
-i**3 + 80
Collect the terms in -14869 + 7458 + 9*f + 7411.
9*f
Collect the terms in -389 - 3319*v**2 + 389 + 3322*v**2 - 9*v**3.
-9*v**3 + 3*v**2
Collect the terms in 114*y**3 - 174*y**3 - 147*y**3 + 2*y - 59*y**3.
-266*y**3 + 2*y
Collect the terms in 2249723 + 6*d**3 - 2249723 + 14*d**3 - 7*d**3.
13*d**3
Collect the terms in 6435*w**2 - 12908*w**2 + 3*w**3 + 6467*w**2.
3*w**3 - 6*w**2
Collect the terms in -1077*k - 1177*k + 2160*k.
-94*k
Collect the terms in 796*a + 17 - 3 - 402*a + 23 - 396*a.
-2*a + 37
Collect the terms in 24*u**3 - 12*u**3 + 5 - 13 + 0 + 0*u**3.
12*u**3 - 8
Collect the terms in 395240*u + 395241*u - 790491*u.
-10*u
Collect the terms in -4 - 130*x - 5 + 136*x - 6.
6*x - 15
Collect the terms in -w - 347 - 32 + 5 - 3*w.
-4*w - 374
Collect the terms in -5 + 3 - 9*m + 5 - 7 + 7*m.
-2*m - 4
Collect the terms in 566*t + 434*t - 2705*t + 569*t + 569*t + 566*t.
-t
Collect the terms in 351*u**2 - 3*u**2 - 7*u**2 + 774*u**2.
1115*u**2
Collect the terms in 54 + 31 - 139*o**3 - 88.
-139*o**3 - 3
Collect the terms in 145850 - 145850 - 2683*z.
-2683*z
Collect the terms in -35*g**2 + 19*g**2 + 44*g**3 - 34*g**3 + 16*g**2 - 9*g**3.
g**3
Collect the terms in 95237*b**2 + 8*b + b**3 - 8*b - 95237*b**2.
b**3
Collect the terms in 14 + 2*v + 15 + 23 - 9 + 7.
2*v + 50
Collect the terms in -509507*w**3 + 254759*w**3 + 254756*w**3.
8*w**3
Collect the terms in -34*u**2 - 32*u**3 + 42*u**2 - 8*u**2.
-32*u**3
Collect the terms in 4*b**3 + 118040*b**2 - 118040*b**2.
4*b**3
Collect the terms in -291*s - 293*s - 288*s + 1189*s - 303*s.
14*s
Collect the terms in -297*t + 187*t + 2*t**2 - 4*t**2 - 20*t**3.
-20*t**3 - 2*t**2 - 110*t
Collect the terms in 6*p - 283 + 577 - 289.
6*p + 5
Collect the terms in -67*r**2 - 73*r**2 + 2 + 113*r**2.
-27*r**2 + 2
Collect the terms in 51028*z**2 - 51089*z**2 + 4*z**3 - 5*z**3.
-z**3 - 61*z**2
Collect the terms in 1075*q**3 + 1049*q**3 - 2127*q**3.
-3*q**3
Collect the terms in 129 - 31 - 29 - 34 - 36 - 21*q.
-21*q - 1
Collect the terms in 982*p**2 + 489*p**2 + 282*p**2 + 54*p**2.
1807*p**2
Collect the terms in 8 + 6*p + 4 - 5 + 14*p.
20*p + 7
Collect the terms in 207*z**3 + 274*z**3 - 1123*z**3 + 401*z**3.
-241*z**3
Collect the terms in -251*s**2 - 254*s**2 - 261*s**2 - s**3 + 766*s**2.
-s**3
Collect the terms in 201 + 201*a**2 + 197 - 3*a**3 - 398.
-3*a**3 + 201*a**2
Collect the terms in 17 + 2465*r**2 + 1518*r**2 - 17.
3983*r**2
Collect the terms in -44 + 258*f - 62 + 104*f.
362*f - 106
Collect the terms in -85*t**2 - 649431 + 78*t**2 + 649431.
-7*t**2
Collect the terms in 19*n + 18*n + 6*n - 18*n**3 - 56*n + 14*n**3 + 10*n.
-4*n**3 - 3*n
Collect the terms in 3 - 3 - 14041*s + 14013*s.
-28*s
Collect the terms in 3685*f - 7354*f + 3*f**3 + 3660*f.
3*f**3 - 9*f
Collect the terms in -144*i**2 + 3*i - 3*i + 665*i**2.
521*i**2
Collect the terms in 12*g + 7*g - 61*g + 27*g + 11*g.
-4*g
Collect the terms in -81 + 167 - 19*c**2 - 81.
-19*c**2 + 5
Collect the terms in -10*m**3 + 453*m**2 - 453*m**2.
-10*m**3
Collect the terms in 287 + 134*l - 287 + 93*l.
227*l
Collect the terms in -13*a**2 - 24*a**2 - 18*a**2 - 29*a**2 - 23*a**2 + 72*a**2.
-35*a**2
Collect the terms in 4*q**2 + 7*q**2 + q**2 - 16*q**2 + 6*q**2.
2*q**2
Collect the terms in -8*x**2 + 304*x**2 - 271*x + 271*x.
296*x**2
Collect the terms in 318*r**3 + 401*r**3 - 786*r**3.
-67*r**3
Collect the terms in -65*v + 13*v + 13*v + 17*v + 12*v.
-10*v
Collect the terms in 1708*q - 80635 + 80635.
1708*q
Collect the terms in 23 - 27 + 5 - 1 + 57*g**3.
57*g**3
Collect the terms in 13*o**3 + 3 + 2 - 3.
13*o**3 + 2
Collect the terms in -144*g + 425 - 425.
-144*g
Collect the terms in 285*z - 533*z - 478*z - 104*z.
-830*z
Collect the terms in -2859 - 3*r + 2859 - 3*r - 4*r + 3*r.
-7*r
Collect the terms in -2*a + 5512 + 8*a - 5515.
6*a - 3
Collect the terms in -10*q - 168*q + 112*q + 2 - 257*q.
-323*q + 2
Collect the terms in -989 + 989 - 37*a.
-37*a
Collect the terms in -186*l**2 - 151*l**2 + 328*l**2.
-9*l**2
Collect the terms in 3 - 2 - 197*r - 4 + 1.
-197*r - 2
Collect the terms in -172*m**3 + 9*m**2 + 359*m**3 - 183*m**3.
4*m**3 + 9*m**2
Collect the terms in 28 + 22*w + 13*w - 4*w + 36*w.
67*w + 28
Collect the terms in -86722 + 86722 + 21*q.
21*q
Collect the terms in -87*o - 3 + 42*o + 3 - 3*o**2 + 44*o.
-3*o**2 - o
Collect the terms in -7004*q**3 + 3286*q**3 + 3722*q**3.
4*q**3
Collect the terms in -2319*g - 2256*g + 4579*g.
4*g
Collect the terms in 6 + 4 + 4*p - 8.
4*p + 2
Collect the terms in -2245 - 2240 + 10*p + 4485.
10*p
Collect the terms in -580 - x - 2143 - 601.
-x - 3324
Collect the terms in 94*y**3 - 32 + 19 - 77*y**3 + 13.
17*y**3
Collect the terms in -604*z - 2*z**2 + 1094*z - 490*z.
-2*z**2
Collect the terms in 1242*g + 416*g**3 - 1242*g - 2905*g**3 + 194*g**3.
-2295*g**3
Collect the terms in 16 - 5 + 6*x - 4.
6*x + 7
Collect the terms in -4*h**3 + 71 + 11*h**3 - 33 - 26.
7*h**3 + 12
Collect the terms in -138*o**2 - 134*o**2 - 83*o**2 + 387*o**2.
32*o**2
Collect the terms in 161*j + 19*j**3 + 174*j + 172*j - 507*j.
19*j**3
Collect the terms in 339518*j**2 + 339508*j**2 - 679021*j**2.
5*j**2
Collect the terms in 25 - 33 - 15*m + 179*m + 28*m.
192*m - 8
Collect the terms in 23*n**2 + 489717*n - 489717*n.
23*n**2
Collect the terms in -69204*o**2 + 69210*o**2 - 8*o + 18*o - 10*o.
6*o**2
Collect the terms in 1111 - 2200 + 4*u**2 + 1089.
4*u**2
Collect the terms in -1949 - n**2 - 6*n + 1013 + 6*n + 936.
-n**2
Collect the terms in 3719 + 21*d**3 - 79*d**3 - 166*d**3 - 3721.
-224*d**3 - 2
Collect the terms in 1928 + q**3 - 10*q**2 + 1926 + q**3 - 3854.
2*q**3 - 10*q**2
Collect the terms in -2315 + 2315 - 1329*a**2.
-1329*a**2
Collect the terms in -2117*v**3 - 2323*v**3 + 4245*v**3.
-195*v**3
Collect the terms in 6*f**2 + 3351655*f - 3351655*f + 23*f**2.
29*f**2
Collect the terms in -68 + 68 + 452*l.
452*l
Collect the terms in -6100*r**2 - 11331*r**2 - 4358*r**2.
-21789*r**2
Collect the terms in -5 - 4*t - 1474*t**2 + 3*t + 4.
-1474*t**2 - t - 1
Collect the terms in 3 - 6*o - 5*o - 6 + 2 + 4*o.
-7*o - 1
Collect the terms in 2*z**3 + 0*z**3 + 12*z - 6*z + 2*z - 8*z.
2*z**3
Collect the terms in 2*x**3 + 20*x + 104130*x**2 - 104130*x**2.
2*x**3 + 20*x
Collect the terms in 145*b**2 + 112*b**2 - 18 + 15 + 3.
257*b**2
Collect the terms in -8*f + 5 - 16 - 943*f.
-951*f - 11
Collect the terms in -293*p + 148*p + 155*p + 4.
10*p + 4
Collect the terms in -2218*z + 1078*z + 1135*z.
-5*z
Collect the terms in j**2 + j - 2 - 84 - 4*j + 86.
j**2 - 3*j
Collect the terms in 9188883*j - 9188883*j - 9*j**2 + 4*j**2.
-5*j**2
Collect the terms in 40*c**3 - 34*c**2 - 43*c**2 + 77*c**2.
40*c**3
Collect the terms in -3*i + 3*i - 7644*i**3.
-7644*i**3
Collect the terms in -2508*a - 2207*a + 4692*a.
-23*a
Collect the terms in 298*z + 280*z - 519*z.
59*z
Collect the terms in 153*g**2 + 1 + 4 - 303*g**2 + 179*g**2.
29*g**2 + 5
Collect the terms in 250*q**3 - 793*q**3 + 521*q**3.
-22*q**3
Coll | {
"pile_set_name": "DM Mathematics"
} |
485. Round q to zero dps.
-127
Suppose -3078*c + 3077*c = 253800. What is c rounded to the nearest ten thousand?
-250000
Let c = 7 - 40. Let z be (2 + 1)/(c/(-121)). Let g be (16 - z) + -1*6805. What is g rounded to the nearest one hundred?
-6800
Let h = -415591.107371 + -19826888.092132. Let r = 20242631.2 + h. Let f = -152 + r. What is f rounded to 4 decimal places?
0.0005
Let z = 128.49 + -128.4900014548. What is z rounded to 7 dps?
-0.0000015
Let s = 5645.9999963626 - 5646. What is s rounded to 6 decimal places?
-0.000004
Let f be -17 + 1*(-3)/(-1). Let d = -11 - f. Let l be (-6)/36*2 - (-7200001)/d. What is l rounded to the nearest 1000000?
2000000
Let c = -40.43 + 74.43. Let s = -1319810.200068 - -1319844.2. Let b = s - c. Round b to five decimal places.
-0.00007
Let x be 94/(7*(-1)/(-3920)). Round x to the nearest 1000.
53000
Let r = -388.89 - -28.29. Let m = r - -360.604149. Round m to four decimal places.
0.0041
Suppose -36*q + 75135014 = -360068986. What is q rounded to the nearest one hundred thousand?
12100000
Let w = -29.7995 - 0.0005. Let b = w + 29.1309. Round b to one dp.
-0.7
Let q = -45114.793365 + 45115. Let p = q + -0.206. Round p to 4 dps.
0.0006
Let r = -44117 - -44174.902. Let k = r + 0.098. Let v = -58.000099 + k. Round v to five decimal places.
-0.0001
Let v = 43.4 + -54. Let u = 24.5 + v. Round u to the nearest ten.
10
Let g = 0.862 - 6.132. Let j = -5.2699683 - g. Round j to five decimal places.
0.00003
Suppose 0 = -3*q + 6 - 0. Suppose -q*l = r - 79513, 0 = 2*r - l - l - 158996. Suppose d + 4*d + r = t, -4*t + 12 = 0. Round d to the nearest 1000.
-16000
Let y = 12938391.8 + -12938600.798532. Let b = -209 - y. What is b rounded to four decimal places?
-0.0015
Let v = -2873030199 - -2873030140.99999965. Let q = 512 - 454. Let r = v + q. What is r rounded to 7 dps?
-0.0000004
Let r = 16.3 + -16.2999985362. Round r to 7 decimal places.
0.0000015
Let i = -170765.1 + 180101. What is i rounded to the nearest one thousand?
9000
Suppose -4*j + 2*a = -36, -3*a = 5*j + 2*a - 15. Suppose 0 = j*i - 1894 - 3307. What is i rounded to the nearest ten?
740
Suppose -5*w + 1730 = 5*k, 0 = -4*w + k - 259 + 1638. What is w rounded to the nearest one hundred?
300
Let y = 16 - 13.48. Let p = y - -142.48. Let f = p + -145.000407. Round f to five dps.
-0.00041
Let a = -6.432 - 3.2864. What is a rounded to the nearest integer?
-10
Let y = -4310212.28079 + 4310233. Let g = 20.71 - y. Round g to 3 dps.
-0.009
Let p = -3097643 + 15486732. Let z = p + 37803905. Suppose 0 = 8*f + z + 21007006. Round f to the nearest one million.
-9000000
Let y = 72.81 + 3.19. Let m = -76.1604 + y. What is m rounded to 2 dps?
-0.16
Let m(o) = 36*o - 40. Let a be m(-24). Suppose 3*i + 0*g - 4*g = -4670, 2*i + 4*g + 3100 = 0. Let u = i - a. Round u to the nearest 100.
-700
Let v(m) = -m**2 + 33*m - 68. Let z be v(28). Let h be z*(-150 - (5 + -5)). Round h to the nearest ten thousand.
-10000
Let t = -24.015 - 7.055. Round t to zero dps.
-31
Suppose 12*o + 10 = 2*o. Let v be (-2 + -6 - o) + -8323. Round v to the nearest one hundred.
-8300
Let y = -16.29 - -3.97. Let n = y + 7.55. Round n to one dp.
-4.8
Suppose k - 361 + 354 = 0. Let u(j) = -517*j**3 + 8*j**2 - 10*j + 9. Let p be u(k). What is p rounded to the nearest ten thousand?
-180000
Let w = 0.031638239 + -0.03166. Round w to six dps.
-0.000022
Let o = -13.54698927 - -7.68698678. Let p = 6.7 + -12.56. Let y = o - p. Round y to 6 decimal places.
-0.000002
Let a = -1.15 - -6.05. Let n = -22611509.1000028 - -22611514. Let v = a - n. What is v rounded to six dps?
0.000003
Let a(q) = 3 - 2 + 8*q - 9*q. Let w(z) = 42*z - 14. Let y(j) = 5*a(j) + w(j). Let o be y(-3). What is o rounded to the nearest 100?
-100
Let m = -2869.3 + 2874.166. Round m to 0 dps.
5
Let j = 1641 - 283. Let u = j + -1358.000737. Round u to four dps.
-0.0007
Let p = 617.92 + -562. Let l = 21.06 + p. Let d = 75 - l. What is d rounded to 1 dp?
-2
Let v = -11628.3478 + 11627. What is v rounded to one decimal place?
-1.3
Let r = 41.4 + -47.59. Let g = 4.38 + r. Round g to 1 decimal place.
-1.8
Let q(b) = 2*b - 10. Let g be q(5). Suppose g = 40*r - 44*r + 2061192. Suppose -2*d - r = -12855298. Round d to the nearest 1000000.
6000000
Let u = 155 + -155.079. Let m = 22.521 - u. Round m to 0 decimal places.
23
Let d = 169614947550.00000299 - 169614946868. Let r = 525.6 - -156.4. Let n = d - r. What is n rounded to seven decimal places?
0.000003
Let d = -23 + 23.148. Let b = 15.652 + d. Let h = -15.79999698 + b. What is h rounded to seven decimal places?
0.000003
Let p = -121837 + 2301837. Suppose g = 5*g - 12. Suppose -g*u - p = -2*u. What is u rounded to the nearest 100000?
-2200000
Let m = 4998 + -4899.68. Round m to the nearest 10.
100
Let v = -25139.99985448 + 25140. Round v to 5 decimal places.
0.00015
Suppose 2*d + d + 0*d = 0. Suppose -4*c + 16 = d, 3*c - 114212 = -3*u + 5*u. Round u to the nearest one hundred thousand.
-100000
Let y = 29634 + -29634.00000017255. What is y rounded to 7 decimal places?
-0.0000002
Let a = -0.321 - -7.321. Let u = a + -8.32. What is u rounded to 1 dp?
-1.3
Let u = 32 + -30. Let t(z) = 18*z**2 - 8*z + 10. Let q be t(u). Let d be ((-112)/(-24))/(4/q). What is d rounded to the nearest ten?
80
Let f(j) = -1675*j + 1065. Let h be f(-11). What is h rounded to the nearest 10000?
20000
Let i = -2545.1 + 2544.7707. What is i rounded to two decimal places?
-0.33
Let j = -4247 - -4305. What is j rounded to the nearest 100?
100
Let c = 19.8825 + -28.299. What is c rounded to 1 dp?
-8.4
Let j = 475.8 + -475.8015856. What is j rounded to 5 dps?
-0.00159
Suppose 4*i - 3 = 5. Suppose 24 = -2*t + c, -i*c + 22 = 11*t - 13*t. What is t rounded to the nearest 10?
-10
Let y = 4.098 + -0.098. Let r = y - 4.116. Let v = r + 0.1160056. What is v rounded to 5 decimal places?
0.00001
Let g = 0.185729 - 0.1805. Round g to two dps.
0.01
Let c = -486.8 + -132.2. Let f = 618.9573 + c. Round f to 2 decimal places.
-0.04
Let z(o) = 3890*o**3 - 12*o**2 - 141*o - 94. Let t be z(-6). Round t to the nearest ten thousand.
-840000
Let t = 0.115484566 - 0.11549. What is t rounded to seven decimal places?
-0.0000054
Let z = -292.3 + 508. Round z to the nearest 10.
220
Suppose -c + 1 = -21. Let r = -48 + c. Let a be (-1250)/((-2)/r*(-2)/(-8)). What is a rounded to the nearest ten thousand?
-70000
Let w = 4.685 - 3.278. Let a = w + -1.57. What is a rounded to two decimal places?
-0.16
Let i = -246.56182 + -2357.12158. Let k = -2604 - i. Round k to 2 dps.
-0.32
Let n = 35016 + -16244. Suppose 8*r + n = -7628. Round r to the nearest 1000.
-3000
Suppose 3*a = -2*t - 707440, -334*t - 943250 = 4*a - 332*t. Round a to the nearest one thousand.
-236000
Let u = -1370 - -1369.99951405. What is u rounded to 4 decimal places?
-0.0005
Let i = -891.7 + 817.5. Round i to the nearest ten.
-70
Let r = 122.803956 + -122.77. Let w = -0.034 + r. What is w rounded to five decimal places?
-0.00004
Let x = -3419.9998947 + 3420. What is x rounded to 4 dps?
0.0001
Let g(h) = -447510*h**3 + 21*h**2 - 4. Let k be g(2). Round k to the nearest 1000000.
-4000000
Let k = -1.0229 + -0.0461. Let g = -0.009 - k. Let w = -1.0862 + g. Round w to 3 dps.
-0.026
Suppose 4*y = -s + 103, 26*y + 3*s = 21*y + 120. Let h be -6 + (-4566670)/(-15)*y. Round h to the nearest one million.
8000000
Let o = 5084 + -5083.999997605. What is o rounded to 7 dps?
0.0000024
Let s be ((-35)/(-28))/(-5) - (-21)/4. Suppose 752 = l - 5*q - 1387, 4*l - 8616 = 5*q. Suppose -l = s*p + 1341. What is p rounded to the nearest one hundred?
-700
Let h = 1488968 - 2945468. Round h to the nearest 10000.
-1460000
Let f = -27289.28002 + 27290. What is f rounded to 3 dps?
0.72
Suppose 4*j + 8 = 4*v, 0 = -2*j - 4*v - 0 - 28. Let z be (84 + 3250)/((j/100)/(-3)). Round z to the nearest 10000.
170000
Let s = 744872 - 1144572. Round s to the nearest 10000.
-400000
Suppose -2*r + 90 = 7*r. Let v = -224 - -218. Let x be (-80)/v*(-12)/r*74375. What is x rounded to the nearest one hundred thousand?
-1200000
Let h = 4743 + -4965.7. Let l = h - -224. Round l to the nearest integer.
1
Let w = -21080.7 + 21080.6839569. Let f = w + 0.01565. What is f rounded to five decimal places?
-0.00039
Suppose 115*j - j + 57*j - 287336430 = 0. Round j | {
"pile_set_name": "DM Mathematics"
} |
2 - 15*o + 118
What is the o'th term of 35961, 28927, 21893, 14859?
-7034*o + 42995
What is the s'th term of -202, -203, -268, -439, -758, -1267, -2008, -3023?
-7*s**3 + 10*s**2 + 18*s - 223
What is the w'th term of -62978653, -62978659, -62978669, -62978683, -62978701, -62978723, -62978749?
-2*w**2 - 62978651
What is the m'th term of 1526, 2804, 3644, 4046, 4010, 3536?
-219*m**2 + 1935*m - 190
What is the w'th term of 42, 722, 1834, 3378?
216*w**2 + 32*w - 206
What is the f'th term of -4637, -4885, -5285, -5825, -6493, -7277?
2*f**3 - 88*f**2 + 2*f - 4553
What is the j'th term of -25341366, -50682721, -76024076, -101365431, -126706786?
-25341355*j - 11
What is the g'th term of -9094, -73573, -248824, -590233, -1153186, -1993069, -3165268, -4725169?
-9231*g**3 + 138*g - 1
What is the l'th term of 11958, 48615, 109718, 195273, 305286, 439763, 598710, 782133?
l**3 + 12217*l**2 - l - 259
What is the a'th term of 893464, 893522, 893580, 893638?
58*a + 893406
What is the a'th term of 42090, 84380, 126672, 168966, 211262, 253560, 295860?
a**2 + 42287*a - 198
What is the v'th term of 100, 5, -36, 19, 212, 585, 1180?
7*v**3 - 15*v**2 - 99*v + 207
What is the s'th term of 15749, 23211, 30663, 38099, 45513?
-s**3 + s**2 + 7466*s + 8283
What is the y'th term of -488353, -488371, -488407, -488467, -488557, -488683, -488851?
-y**3 - 3*y**2 - 2*y - 488347
What is the g'th term of -9588, -73907, -247656, -585549, -1142300?
-9119*g**3 - g**2 - 483*g + 15
What is the u'th term of 165017, 163896, 162021, 159386, 155985, 151812, 146861?
-u**3 - 371*u**2 - u + 165390
What is the j'th term of -170961, -171060, -171159?
-99*j - 170862
What is the m'th term of -5922795, -5922871, -5922949, -5923029?
-m**2 - 73*m - 5922721
What is the s'th term of -1661299, -1660760, -1660221, -1659682?
539*s - 1661838
What is the q'th term of -7205, -14456, -21785, -29192, -36677, -44240?
-39*q**2 - 7134*q - 32
What is the w'th term of 329, 1450, 3261, 5720, 8785, 12414, 16565, 21196?
-7*w**3 + 387*w**2 + 9*w - 60
What is the y'th term of -18512, -38370, -58230, -78092, -97956?
-y**2 - 19855*y + 1344
What is the y'th term of 8528279, 17056608, 25584943, 34113284, 42641631?
3*y**2 + 8528320*y - 44
What is the g'th term of 4955, 4970, 4963, 4928, 4859?
-g**3 - 5*g**2 + 37*g + 4924
What is the k'th term of -18231, -18335, -18517, -18783, -19139, -19591, -20145?
-k**3 - 33*k**2 + 2*k - 18199
What is the v'th term of -127219, -254409, -381605, -508813, -636039, -763289, -890569, -1017885?
-v**3 + 3*v**2 - 127192*v - 29
What is the o'th term of 21066, 41268, 61482, 81714, 101970, 122256?
o**3 + 20195*o + 870
What is the j'th term of 60842, 60828, 60804, 60770, 60726, 60672?
-5*j**2 + j + 60846
What is the n'th term of 10282809, 10282800, 10282789, 10282776?
-n**2 - 6*n + 10282816
What is the b'th term of -373680, -373646, -373612, -373578, -373544, -373510?
34*b - 373714
What is the q'th term of -34306, -34570, -34838, -35110, -35386, -35666?
-2*q**2 - 258*q - 34046
What is the b'th term of -3946, -7924, -11932, -15970?
-15*b**2 - 3933*b + 2
What is the x'th term of 29789649, 29789843, 29790047, 29790267, 29790509?
x**3 - x**2 + 190*x + 29789459
What is the x'th term of 10415404, 20830813, 31246222, 41661631, 52077040, 62492449?
10415409*x - 5
What is the r'th term of 4373, 8632, 12711, 16520, 19969?
-15*r**3 + 4364*r + 24
What is the c'th term of -30, -662, -1296, -1932?
-c**2 - 629*c + 600
What is the u'th term of 14666, 13505, 12346, 11189, 10034, 8881?
u**2 - 1164*u + 15829
What is the i'th term of 19266, 43350, 67434?
24084*i - 4818
What is the i'th term of 330, 610, 1084, 1746, 2590, 3610?
-i**3 + 103*i**2 - 22*i + 250
What is the g'th term of 31952, 126830, 284964, 506354, 791000?
31628*g**2 - 6*g + 330
What is the u'th term of 58046, 116968, 175890, 234812, 293734, 352656?
58922*u - 876
What is the h'th term of 46617, 93399, 140181, 186963, 233745?
46782*h - 165
What is the u'th term of -327518515, -327518516, -327518517?
-u - 327518514
What is the h'th term of 10338, 10502, 10796, 11238, 11846, 12638, 13632?
3*h**3 + 47*h**2 + 2*h + 10286
What is the g'th term of -1100560, -2201116, -3301668, -4402216, -5502760, -6603300, -7703836?
2*g**2 - 1100562*g
What is the h'th term of 402075, 402056, 402037, 402018, 401999, 401980?
-19*h + 402094
What is the b'th term of -6582, -13149, -19712, -26283, -32874, -39497?
-2*b**3 + 14*b**2 - 6595*b + 1
What is the y'th term of 62370, 124874, 187378, 249882?
62504*y - 134
What is the p'th term of 178682, 178654, 178612, 178556, 178486, 178402?
-7*p**2 - 7*p + 178696
What is the t'th term of 109558, 109701, 109844, 109987, 110130, 110273?
143*t + 109415
What is the c'th term of 1462, 2921, 4334, 5695, 6998, 8237, 9406, 10499?
-c**3 - 17*c**2 + 1517*c - 37
What is the a'th term of 462200, 924368, 1386536, 1848704, 2310872?
462168*a + 32
What is the z'th term of 1267, 5261, 11931, 21277, 33299?
1338*z**2 - 20*z - 51
What is the z'th term of -81328, -325411, -732212, -1301725, -2033944?
z**3 - 81365*z**2 + 5*z + 31
What is the g'th term of 67065, 133206, 199347, 265488, 331629?
66141*g + 924
What is the p'th term of 145776, 145762, 145750, 145740, 145732?
p**2 - 17*p + 145792
What is the t'th term of 14887, 29745, 44583, 59401, 74199?
-10*t**2 + 14888*t + 9
What is the b'th term of 80955, 324092, 729415, 1296924, 2026619, 2918500?
81093*b**2 - 142*b + 4
What is the z'th term of -768517, -769458, -770399, -771340, -772281?
-941*z - 767576
What is the k'th term of 46558, 93092, 139604, 186094, 232562, 279008, 325432?
-11*k**2 + 46567*k + 2
What is the o'th term of -290563, -1162257, -2615089, -4649065, -7264191, -10460473, -14237917?
-o**3 - 290563*o**2 + 2*o - 1
What is the r'th term of -15385, -15402, -15431, -15472, -15525?
-6*r**2 + r - 15380
What is the y'th term of 1878588, 3757181, 5635770, 7514355, 9392936, 11271513?
-2*y**2 + 1878599*y - 9
What is the g'th term of 9984232, 9984229, 9984226, 9984223, 9984220?
-3*g + 9984235
What is the t'th term of 66397, 66395, 66423, 66505, 66665, 66927, 67315?
4*t**3 - 9*t**2 - 3*t + 66405
What is the z'th term of -1852, -7827, -17884, -32029, -50268, -72607, -99052, -129609?
-z**3 - 2035*z**2 + 137*z + 47
What is the k'th term of 1288010080, 1288010081, 1288010082?
k + 1288010079
What is the n'th term of 59253, 110052, 160851, 211650, 262449?
50799*n + 8454
What is the z'th term of 620, 5311, 18194, 43409, 85096, 147395, 234446?
690*z**3 - 44*z**2 - 7*z - 19
What is the w'th term of -26890, -107611, -242146, -430489, -672634?
w**3 - 26913*w**2 + 11*w + 11
What is the i'th term of -16346, -16292, -16204, -16082, -15926, -15736, -15512?
17*i**2 + 3*i - 16366
What is the i'th term of -116, 150, 796, 2014, 3996, 6934, 11020?
32*i**3 - 2*i**2 + 48*i - 194
What is the r'th term of 536, 2819, 8630, 19733, 37892?
294*r**3 + 225*r + 17
What is the a'th term of -91171, -86618, -82065, -77512?
4553*a - 95724
What is the t'th term of 899277, 7194272, 24280675, 57554190, 112410521?
899284*t**3 + 7*t - 14
What is the c'th term of -147976, -295930, -443868, -591784, -739672, -887526, -1035340?
c**3 + 2*c**2 - 147967*c - 12
What is the j'th term of -99156, -396728, -892730, -1587168, -2480048, -3571376, -4861158?
-j**3 - 99209*j**2 + 62*j - 8
What is the y'th term of 132, 203, 278, 399, 608, 947, 1458?
7*y**3 - 40*y**2 + 142*y + 23
What is the i'th term of 337, 1546, 4015, 8116, 14221, 22702, 33931?
62*i**3 + 258*i**2 + i + 16
What is the h'th term of -1626, -8235, -19252, -34677?
-2204*h**2 + 3*h + 575
What is the j'th term of 2973641, 2973650, 2973661, 2973674, 2973689, 2973706?
j**2 + 6*j + 2973634
What is the s'th term of -1850, -2442, -3424, -4802, -6582, -8770, -11372?
-s**3 - 189*s**2 - 18*s - 1642
What is the l'th term of 3270, 13056, 29388, 52284, 81762, 117840, 160536, 209868?
3*l**3 + 3255*l**2 + 12
What is the m'th term of -16321, -33286, -50309, -67420, -84649, -102026?
-5*m**3 + m**2 - 16933*m + 616
What is the u'th term of -1158, -1273, -1470, -1749, -2110, -2553, -3078?
-41*u**2 + 8*u - 1125
What is the p'th term of 24840, 50113, 75386, 100659, 125932?
25273*p - 433
What is the i'th term of -1464399, -2928687, -4392989, -5857311, -7321659, -8786039?
-i**3 - i**2 - 1464278*i - 119
What is the z'th term | {
"pile_set_name": "DM Mathematics"
} |
when 21 is divided by g?
9
Let j(k) = k + 74. Let t be j(38). Calculate the remainder when t*(12/9 - 4/(-6)) is divided by 45.
44
Let m be ((-2)/4)/(6/(-12)). Let a be -12*4/(-18) + m/3. Suppose 3*o + a*p - 27 = 0, -4 = 5*o + 3*p - 43. Calculate the remainder when 8 is divided by o.
2
Let r(x) = x**3 + 8*x**2 - 47. Let q be r(-7). Suppose 5*m = 8*m - u - 70, -4*m + 92 = -q*u. Calculate the remainder when 70 is divided by m.
22
Let s be (-6)/(-39) + 24/13 + 0. Let l(h) = -s*h**2 + 13 + h**2 + 26*h - 5 + 27. What is the remainder when l(26) is divided by 18?
17
Suppose d + 108 = 5*q, 9*q + 2*d = 4*q + 99. Let a(o) = 39*o - 153. Calculate the remainder when a(6) is divided by q.
18
Suppose 186*m - 648 = 168*m. What is the remainder when 188 is divided by m?
8
Let u(p) = 179*p**3 - p**2 + p - 1. Let f = -292467 + 292493. What is the remainder when u(1) is divided by f?
22
What is the remainder when -3 - 1 - -2 - -5699 is divided by 259?
258
Let b(c) = -c**3 + 10*c**2 + 25*c + 2. Let d be b(11). Let t = d + 318. What is the remainder when t is divided by 34?
32
Let y(a) = -2*a**3 + 29*a**2 + 18*a - 8. Suppose 259 = 20*q - 41. Suppose 4*l - 49 = -j, 0*l + 5*l = -4*j + 53. What is the remainder when y(q) is divided by l?
11
Suppose 0 = 244919*m - 244931*m + 50496. What is the remainder when m is divided by 282?
260
Let t = -7916 + 7941. What is the remainder when 743 is divided by t?
18
Calculate the remainder when 4729 is divided by ((-380)/(-228))/(-2 - (-133)/66).
109
Let v(c) = -9*c**2 - 15*c - 8. Let r(g) = -11*g**2 - 14*g - 8. Let q(a) = 5*r(a) - 6*v(a). What is the remainder when q(5) is divided by 18?
11
Suppose -5*j + 113 = 2*z - 572, 0 = -3*j - 2*z + 411. Calculate the remainder when 4930 is divided by j.
135
Let p(m) = 3 + 22*m**2 + 2 + 11*m + m**2 + 5. What is the remainder when p(-1) is divided by 10?
2
Suppose 0 = -4*u + 5*r + 328, 3*r + 519 = 5*u + 109. Let y = u - 13. What is the remainder when 135 is divided by y?
66
Let x(o) = -3*o**2 + 36*o - 31. Let t be x(11). Suppose -t*i - 6 = -216. Calculate the remainder when i is divided by 41.
23
Calculate the remainder when 44/154*(35 - 7) is divided by 6.
2
Suppose 5*t + j = 628, -t + 64 = -2*j - 55. What is the remainder when 1123 is divided by t?
123
Let p be 2 + (-1)/((-2)/2). Suppose 162 = 127*j - 125*j. Calculate the remainder when ((-11)/p)/((-3)/j) is divided by 34.
31
What is the remainder when 9565 is divided by (-138)/(-4)*(826/(-42) - -19)*-4?
89
Let z = -48 + 570. Suppose -953*g + 959*g - z = 0. What is the remainder when 340 is divided by g?
79
Let a = 1380 - 1049. What is the remainder when a is divided by 70?
51
Let l be 7084/35 + 3 - 4/10. Let m = l + -185. Calculate the remainder when 41 is divided by m.
1
Suppose -3*z - n + 6582 = 0, -2*n - 6573 = -7*z + 4*z. Calculate the remainder when z is divided by 43.
0
Let p(a) = 3*a**2 + a + 2. Suppose 0 = -3*j, 0 = -2*h + 3*j - 5 + 1. Let i = -11672 - -11699. Calculate the remainder when i is divided by p(h).
3
Let y = 180 + -177. Suppose y*t + 2*u = 168, -4*u - 36 = 3*t - 198. What is the remainder when 113 is divided by t?
55
Let x(w) = w**3 + 7*w**2 + w + 8. Let a be x(-7). Suppose -5*z = i - z + 2, 2*i - 11 = -3*z. What is the remainder when ((-49)/2)/(a/(-2)) is divided by i?
9
Let g = -3834 + 3933. Calculate the remainder when 2173 is divided by g.
94
Let i(t) be the second derivative of -t**3/2 + 31*t**2 + 213*t. What is the remainder when 34 is divided by i(18)?
2
Suppose -43 + 37 = -3*i. Suppose 0 = i*o - o - 3. Suppose -o*n - 4*u + 43 = 0, 3*n - 2*n = 4*u - 7. What is the remainder when 89 is divided by n?
8
Suppose 81098 = 41*p - 140343. What is the remainder when p is divided by 146?
145
Suppose 23 = -3*r + 4*r. What is the remainder when (-7 + -2)*(-8 - 1) is divided by r?
12
Suppose 6*d - 234 = 438. What is the remainder when 1117 is divided by d?
109
Suppose 0 = 8*u - 106 - 622. Let d = -785 - -804. Calculate the remainder when u is divided by d.
15
Suppose -382*q = -421*q + 8541. Let g(t) = 74*t - 2. Calculate the remainder when q is divided by g(1).
3
Suppose -15*j + 12894 = 11859. Calculate the remainder when -2*(1 + (-223)/2) is divided by j.
14
Suppose -8 = -3*s - s. Let k = 9801 - 9773. What is the remainder when k is divided by -2 + 13 + (s - 2)?
6
Suppose -5*n = -0*n - 290. Suppose j - n = -j. Let d = 1633 - 1623. What is the remainder when j is divided by d?
9
Let b = -39 - -118. Suppose -3*a = -274 - 530. Calculate the remainder when b is divided by a/10 + 16/80.
25
Suppose 5*d - 20 = 0, -1 - 1 = 2*n + 2*d. Let c be 18/(-45) + (-117)/n. Suppose 22*w - c*w = -13. Calculate the remainder when 35 is divided by w.
9
Let h(x) = -x + 20. Suppose 14*m - 87 = -31. Calculate the remainder when 29 is divided by h(m).
13
Suppose y = 5*m - 36, -y - 11 = -m + 3*y. Let j = 873 - 850. Calculate the remainder when j is divided by m.
2
Let z(b) = b**3 - 25*b**2 + 31*b - 66. Let q be z(24). Suppose -q = -a - 0*a - 2*k, -k + 443 = 4*a. Calculate the remainder when a is divided by 29.
25
Suppose 371*u = 69935 - 3897. Suppose -2*b + 90 = 18. What is the remainder when u is divided by b?
34
Let u be (-114)/304 + 1*9/24. Suppose 5*i - 7*i + 240 = u. Calculate the remainder when 469 is divided by i.
109
Let l(j) = 22*j - 2092. What is the remainder when l(106) is divided by 150?
90
Suppose -42*o = -65*o + 46. Suppose 200 = 5*a - 2*l, 4*a + 2*l - 145 + 3 = 0. What is the remainder when a is divided by o?
0
Let m(b) = 32*b - 49. Let x be m(4). Suppose -191 = -9*w + x. What is the remainder when w is divided by 17?
13
Suppose -8*l - l = 828. What is the remainder when ((-6)/4)/(-8 + (-733)/l) is divided by 23?
0
Suppose 333*t = 250*t + 110141. What is the remainder when t is divided by 53?
2
Calculate the remainder when 217 is divided by -5 + (120/(-5))/8 - -114 - -1.
3
What is the remainder when (744/155)/((-2)/(-5)) is divided by 2/((-7)/(294/(-12)))?
5
Calculate the remainder when 1679 is divided by (-4840)/(-70) + (-30 + 33 - (-15)/(-7)).
69
Let j(y) = y**2 - 2*y + 3. What is the remainder when j(-4) is divided by (-4 + 0/1)*-3*4/16?
0
Let y(i) = 11 - 18*i - 2*i**3 - i**3 - 17*i**2 + 4*i**3. Let o(u) = u**2 + 40*u + 297. Let k be o(-9). What is the remainder when 41 is divided by y(k)?
8
Let p(r) = 18*r**3 - r**2 - r + 3. Suppose -459*h = -454*h - 165. Calculate the remainder when h is divided by p(1).
14
Let z = -49 - -67. Suppose 2*j = 31 - 13. What is the remainder when 68 + 0 + (j - 9) is divided by z?
14
Let m(w) = w**2 + 31*w + 61. Let d be -30 + (3 - 3/1). What is the remainder when m(d) is divided by 10?
1
Suppose 46*s - 10*s = 288. Calculate the remainder when s is divided by 7.
1
Let v be (21/(-15) - -6) + 3/(-5). Suppose -v*x + 455 = x. Calculate the remainder when x is divided by 19.
15
Suppose -593 = -265*q - 294 + 1821. Let i(t) = -2*t + 1. Let o be i(6). Let k = 16 - o. What is the remainder when k is divided by q?
3
Suppose -2*o = -5*w - 313, 5*o - 27*w = -26*w + 817. Calculate the remainder when 362 is divided by o.
34
Suppose -4525 = -6*k + 1709. Suppose 1043*c = k*c + 488. What is the remainder when c is divided by 11?
1
Let b = 17087 + -17030. What is the remainder when 983 is divided by b?
14
Suppose 0 = 13*i - 14*i + 5. Suppose 7*h + 5*a = i*h + 16, -5*a + 30 = -5*h. Calculate the remainder when -226*h*2/8 is divided by 29.
26
Suppose m + 5*k + 22 = 10*k, -5*m - 3*k = 54. What is the remainder when 0 + 2234/8 + 3/m is divided by 20?
19
Suppose -4*g - 119 + 343 = 0. Let l(m) = -m**3 - 5*m**2 + 19. Suppose 212*i = 206*i. What is the remainder when g is divided by l(i)?
18
Let w(q) = 134*q**2 - 93*q - 24. What is the remainder when 645 is divided by w(2)?
319
Let c = -87 + 116. Let a(h) = 3*h**3 + 38*h**2 + 24*h + 4. Calculate the remainder when c is divided by a(-12).
1
Suppose -3*x - 47 - 406 = 3*u, 0 = u + 2*x + 155. Let m = u - -154. Calculate the remainder when 25 is divided by m.
4
Let l = -45 - -67. Let a = -59 - -39. Calculate the remainder when (43/4)/(a/(-160)) is divided by l.
20
Suppose -28 = 3*a - 7*a. Suppose 49*r - 309*r + 6240 = -0*r. What is the remainder when r is divided by a?
3
Let y = -252 - -441. What is the remainder when (-3)/2*28/(-3) is divided by ((-432)/y)/(5/((-35)/2))?
6
L | {
"pile_set_name": "DM Mathematics"
} |
et w be f(10). Suppose -3*y + 0*y = w*l - 11, l = -y + 3. Solve b + 1 + y = 0 for b.
-3
Let f be (2/8)/((12/352)/(7 + -4)). Solve 150 = f*t + 8*t for t.
5
Suppose -3*m + 3 = -3. Let u be ((0/1)/m)/3. Solve u = 7*w - 22 + 8 for w.
2
Suppose -4 = p, 6*f + 1 = 3*f - 4*p. Suppose 2*d - 3 - 3 = -z, f*d = 5*z - 105. Solve -12 = -4*i - z for i.
-1
Let i(n) = 768*n - 6900. Let h be i(9). Solve -41*t - 58 = -h*t for t.
-2
Suppose 10*a = -a + 22. Let k(p) = 3*p**2 + 17*p - 6. Let w be k(-6). Suppose -r + i - 1 = 0, r - a*i + 0 + 5 = w. Solve f + r*f = 20 for f.
5
Let o(c) = -c**3 - c**2 - 2*c - 4. Let u be o(-3). Let j = 96895 + -96846. Solve -53*l + j*l = u for l.
-5
Let x(f) = f - 35. Let h be x(16). Let q = -18 - h. Suppose 2*s - q = -0*s - n, -5*s + 10 = n. Solve -t - 2*t - s = 0 for t.
-1
Let s = -15372 - -15570. Solve s = 5*p + 238 for p.
-8
Let s = 287 - 292. Let m be (3*s)/(10/(-1) - -7). Solve m*q = 3 - 13 for q.
-2
Let p be (6 - -9) + 5 + (8/4 - 9). Solve 0 = -3*x - p*x - 96 for x.
-6
Suppose -2*t + 191 = -5*l, -2*l = -0*l + t + 80. Let y = 43 + l. Suppose -3*o + y*o = -4*q + 25, -35 = -2*o - 5*q. Solve 1 = -o*v - 9 for v.
-2
Suppose 0 = -5*h - t + 16, -179*t + 183*t = -4*h + 32. Suppose 0 = -5*o - 15, -4*o - 13 = -4*q + 11. Solve -q*k = -17 + h for k.
5
Suppose 0 = -4*j + 8*n - 11*n + 34, -3*j - n + 28 = 0. Solve j*p = 6*p for p.
0
Let n = -13 - -19. Let f(x) = -x + 10. Let z be f(n). Suppose 0 = -z*r + 5*w + 11, -6*r + 2*w + 18 = -r. Solve 2*l + r = -6 for l.
-5
Let o(v) = v**2 + 68*v + 756. Let g be o(-14). Solve g = -0*w - 19*w for w.
0
Let b(s) = -145*s - 2664. Let o be b(-19). Solve 86*p - 5 = o*p for p.
-1
Let t = 1 + 3. Let p = 83 - 56. Let d be 9/(p/21) - 5. Solve -d*x + t*x = -6 for x.
-3
Suppose -6*g = -9*g + 6, -5*d + 196 = 3*g. Solve -6*p + d*p - 128 = 0 for p.
4
Let d = 891 + -867. Suppose f - 5*x = 28, -f + 0*f + d = -4*x. Solve k + 7*k = f for k.
1
Let o = -107 + 112. Let x(r) = -11 + o*r - 22*r + 2*r**2 - 6*r. Let n be x(13). Solve -4*h - n = -8 for h.
-5
Let v(u) = -179*u + 180. Let i be v(1). Solve 9*p = i - 10 for p.
-1
Suppose 6 + 2 = 4*z. Let k(v) = -3*v + 22. Let r be k(4). Solve -3*d + r = z*d for d.
2
Let g(n) = -9*n**2 + 2*n**2 + 6*n**2 - 11*n. Let i be g(-6). Suppose -4*l = -7*l + i. Solve -4*v = v + l for v.
-2
Let f be (-11)/209 + 15738/114. Solve -117*a + f*a - 147 = 0 for a.
7
Let s = 1900 - 1900. Solve 21*f - 9*f = s for f.
0
Let y(c) = -977*c + 10001. Let q be y(10). Solve -12*o - q = 21*o for o.
-7
Let y(w) = -2*w**3 + 170*w**2 - 160*w - 369. Let o be y(84). Solve -o + 23 = -56*l for l.
5
Suppose 5*a + 0*a = 0, 4*p - 1356 = -4*a. Let r = 347 - p. Solve -5*m + 13 - r = 0 for m.
1
Let c = 128 + -91. Suppose -2*d + c = 1. Let t = d - 14. Solve 3 = t*q + 19 for q.
-4
Let g be ((-58)/80*-8 + -7)/(2/(-20)). Solve 4*v + 4 = -g for v.
-4
Suppose -4*q = 40*q - 0*q - 1408. Solve q - 56 = 8*k for k.
-3
Let f be ((-10)/8)/((-2)/96) - -2. Let m = f + -48. Let d(z) = z**3 - 15*z**2 + 15*z - 12. Let u be d(m). Solve 2 = -2*n - u for n.
-2
Suppose -3*h - 54 = -3*o, 6*o = 4*o - h + 30. Suppose -4*u + o = -a - 0*u, 5*u - 21 = a. Solve a*q - 7*q - 3 = 0 for q.
-1
Let v(z) = -z**2 - 7*z - 5. Let q be v(-4). Let y(c) = c**2 - 3*c - 3. Let o be y(4). Suppose -76*j - 19650 + 9945 = -9933. Solve -o = j*m - q for m.
2
Let x be (250/(-75))/((-2)/(-3)). Let k be ((-6)/x)/((-46)/(-115)). Solve 2*y + 9 = k for y.
-3
Let n be (-2)/7 - (-23)/7. Suppose -8*j = 10*j - 315 - 45. Suppose n*z = l + l - 40, 5*z = -j. Solve l = -3*w + 2 for w.
-4
Let p(s) = -96*s - 750. Let y be p(-8). Solve -13*d + 7*d = y for d.
-3
Suppose 4*m - 2*t - 26 = 60, 68 = 4*m + 4*t. Solve 0 = m*b - 98 - 42 for b.
7
Let p = -1865 + 1871. Solve 95*m = 93*m + p for m.
3
Let c(s) be the third derivative of -s**6/120 - s**5/20 + s**4/12 - 2*s**3/3 - s**2. Let r be c(-4). Suppose -27*l = -68*l. Solve l = j + r for j.
-4
Let f(w) = -2*w + 2. Let q be f(-3). Let x = 6456 - 6453. Solve -t - q = x*t for t.
-2
Let l be 0*6/(-12) - 5. Let h be l + (-25)/(-3 - 2). Solve h = -7*t + 3*t + 12 for t.
3
Let k = -129 - -124. Let w = 0 - -16. Let p be (w/5)/(k*(-4)/50). Solve 2 + p = 2*a for a.
5
Let d(h) = h**2 - 2*h + 1. Suppose 2*u - 6 = -2*l, 5*u = -3*l - 0 + 15. Let m be (-5 - -5)*u/6. Let w be d(m). Solve -5 = -2*y + w for y.
3
Suppose -l + 21 = -o, -4*o - 76 = -0*o + 4*l. Let q be (-10)/(7/(-4) - (-5)/o). Solve -3 = q*g - 8 for g.
1
Let b(c) = c**2 + 7*c + 10. Let v be b(-6). Let p = -1255 - -1280. Solve v*y + y = p for y.
5
Suppose 147*f + 56*f - 17661 = 0. Solve -95*g + 8 = -f*g for g.
1
Let w be 6/((-10)/(-45) + (-46)/(-36)). Suppose 5*g - 5*a + w*a = 172, -2*a + 76 = 2*g. Solve 0 = 9*i + 8 - g for i.
3
Let d(u) = u**3 - 8*u**2 + 5*u - 2. Let c be d(7). Let z be (-68)/c - (-1)/(-4). Let q be (-15 + 12)*11/(-3). Solve -9 = -z*t + q for t.
5
Suppose -10*g - 82 = -12*g. Solve 32*c - 18 = g*c for c.
-2
Suppose -3 = 5*h + 2, 5*c = -3*h + 72. Let i be (6/4)/(c/150). Solve -x + i = 4*x for x.
3
Let d be (18/4)/(6/4). Suppose -2*c + 74 = -d*a + 3*c, c = 1. Let i = a + 25. Solve -1 = -i*f + 5 for f.
3
Let p = 41355 + -41210. Solve -p*y + 584 = -72*y for y.
8
Let c(t) = 130 - 67 + 2*t - 62. Let n be c(2). Solve -5*z = n - 10 for z.
1
Suppose 44*c - 39*c = 45. Suppose 0 = 12*r - c*r - 12. Solve b - r = -8 for b.
-4
Let n be 288/28 - (-4)/(-14). Let h(y) = 8*y + 102. Let u be h(-14). Let v be (0 + 0)/(u - (-5 + -7)). Solve v = -5*l + 15 + n for l.
5
Let l(c) be the first derivative of -2*c**2 + 58*c + 3. Let s be l(14). Solve 9 = s*t + t for t.
3
Let x(i) = -i**3 + 5*i**2 - 10. Let t be x(4). Suppose -13 = -t*z - 1. Solve -q - 3 = -z*q for q.
3
Let u(z) = z**2 - 185*z + 5368. Let b be u(36). Suppose -2 = -2*o + 8. Solve 1 = o*f - b for f.
1
Let f(s) = s**2 + 23*s + 19. Let c be f(-30). Let u = c - 218. Solve -2*z = u - 7 for z.
-2
Let k(f) = 10*f - 118. Let m be k(13). Suppose 5*c - m = 8. Solve c = b - 5*b for b.
-1
Suppose 190 = 5*s + 5*w, 3*s + 5*w - 108 = 4*w. Suppose 2*j - 7*j = 5*l - 50, 3*j + 4*l - s = 0. Solve 4*f = j*f + 5 for f.
-5
Let o = 117 + -109. Suppose 29*z + o = 30*z. Solve -7*n - 2 = -z*n for n.
2
Let p(l) = l**2 + 8*l + 18. Let w(b) = -b - 9. Let y be w(-14). Suppose 26 = -d + 5*x, 2*d + 2*x = -y + 1. Let a be p(d). Solve -s + 10 = -a*s for s.
-2
Let c be (43 - (10 - 13)) + (-3 - 2). Solve -c*q + 36*q - 25 = 0 for q.
-5
Let p(u) = -9*u + 32. Let d be p(6). Let n be (d*(-1)/(-5))/(58/(-145)). Solve -4*x + n - 3 = 0 for x.
2
Let t(f) = 3*f - 9. Let i be t(6). Suppose 5*y + 8 = w, -9*y = -2*w - 6*y + i. Solve 0 = -2*c + w*c for c.
0
Let u(w) = w**2 + 406*w - 4582. Let c be u(11). Solve -379 = -c*j - 404 for j.
-5
Let w be 11 + (-56)/7 + 1. Suppose -18 + 55 = 5*c - w*s, 7 = -c - 4*s. Solve 3*q + c - 2 = 0 for q.
-1
Let h be (-2 - (-168)/20) + 4/(-10). Suppose 2*i = 6, -7*f + h*f - 6 = -3*i. Solve -f*b = -6*b + 9 for b.
3
Let l = 58 + -45. Let s(v) = v**3 - 12*v**2 - 12*v - 8. Let o be s(l). Solve -10 = -0*x - o*x for x.
2
Suppose 4*o - 9*o + 20 = 0. Suppose o*i - 5*d + 282 = 0, 4*i - 76 = 5*i - 4*d. Let m = i - -72. Solve -2*g + m = -4 for g.
4
Suppose 0 = 6*j - 4*j - 6. Let s(y) = 9*y**j + 6 - 8*y**3 - 3*y**2 - 6*y + y. Let h be s(4). Solve -h = 2*r - 0 for r.
-1
Let r(j) = j - 15 + 4 + 2*j - 5*j - 8. Let i be r(-10). Solve 0 = -4*d - 3 - i for d.
-1
Let q(s) = -s**3 - 6*s**2 - 4*s. Let t be q(-5). Let m be 11 - 4 - (5 + (-5 - t)). Solve -7*b + 20 = -m*b for b.
4
Let y(d) = 2*d**2 + 27*d + 65. Let m be y(-11). Suppose -m*j + 41 = -219. Solve -5*q + 11 = j for q.
-3
Let b(f) = -f + 6. Suppose -3*z = -0*z - 4*j - 9, -4*z = -2*j - 12. Let c be b(z). Let y(v) = v**2 - 8*v + 4. Let a be y(8). Solve 5 = c*i - a for i.
3
Let d be 137 + (16/4)/1. Let p be (-1)/3 + d/(-9). Let c be 2/24*3 + (-28)/p. Solve -g + c*g = 0 for g.
0
Let k be (-10)/115 - (1819/(-23) - -5). Solve -15 = -k*c + 79*c for c.
-3
Let v(z) = 2*z**3 - 16*z**2 + 35*z + 12. Let m be v(3). Solve 12 = -39*q + m*q for q.
-1
Let t = 512 - 512. Solve t = -11*d + 230 - 186 for d.
4
Let l = -12862 + 12863. Suppose -7 = -4*m + 3*m. Suppose -m + 3 = -s. Solve s*t = 3*t + l for t.
1
Let t = 12494 + -12346. Solve 152*g = t*g + 28 for g.
7
Suppose -4*s - 4*y = -16, 3*s + 4*y + 0*y - 14 = 0. Suppose 2*t = -s + 16. Suppose -4 | {
"pile_set_name": "DM Mathematics"
} |
- 5403. Let w be g(6). Factor 0*u**2 - 4/3*u**w + 2/3*u**5 + 0 + 0*u**4 + 2/3*u.
2*u*(u - 1)**2*(u + 1)**2/3
Let u = 11017/177 + 547/177. Factor -364/9*q + u - 4/9*q**3 + 68/9*q**2.
-4*(q - 7)**2*(q - 3)/9
Let x(t) be the first derivative of -t**6/72 - 13*t**5/60 - 5*t**4/24 + 275*t**3/18 + 2875*t**2/24 + 4375*t/12 + 628. Determine l so that x(l) = 0.
-5, 7
Let y(c) be the second derivative of -c**7/28 - 9*c**6/8 - 519*c**5/80 - 99*c**4/8 + c**3/2 + 27*c**2 - 712*c. Let y(l) = 0. What is l?
-18, -2, -1, 1/2
Factor 0 - 2/3*i**2 + 326*i.
-2*i*(i - 489)/3
Let n(t) be the first derivative of -2*t**6/21 - 32*t**5/35 + 8*t**4/7 + 128*t**3/7 - 288*t**2/7 - 870. Factor n(g).
-4*g*(g - 2)**2*(g + 6)**2/7
Let x = 1118921/1491884 - 2/372971. Solve 9 + 9/4*q**3 - 6*q - 39/4*q**2 + 15/4*q**4 + x*q**5 = 0.
-3, -2, 1
Suppose 0 = -0*x + 3*x - 128 + 146, 4*s - 42 = 7*x. Find m such that -9/7*m - 1/7*m**3 + s - 6/7*m**2 = 0.
-3, 0
Let f be ((-8)/96)/(15 + 3654/(-243)). Suppose -51/4*b**2 - 3/8*b**5 - 3*b**4 - 69/8*b - f - 9*b**3 = 0. What is b?
-3, -2, -1
Suppose 4*b = z - b + 2, -b + 2 = -z. Let r be (1 + z/4)*188 - -2. Factor -3*n**3 - 18*n**2 + 36 - 18*n**3 + r*n - 3*n**4 + 60.
-3*(n - 2)*(n + 1)*(n + 4)**2
Let n = -360 - -372. Determine r, given that -12*r + 3 + 9 - 28 + 20*r**2 + n*r**3 - 4*r**4 = 0.
-1, 1, 4
Suppose -4*d + 9 = 1819*s - 1816*s, 0 = -5*d + 8*s - 24. Solve 0*m**2 + 0 - 1/4*m**4 + d*m + 7/4*m**3 = 0.
0, 7
Let o(r) be the third derivative of -1/30*r**5 + 0*r - 14*r**2 - 7/12*r**4 + 0*r**3 - 3. Solve o(d) = 0 for d.
-7, 0
Let -362*c**3 - 1578 - 578*c + 802*c**2 - 1405 - 6*c**4 + 28*c**3 + 3099 = 0. What is c?
-58, 1/3, 1
Factor 54/7*n - 22/7*n**3 + 2/7*n**4 + 30/7*n**2 + 0.
2*n*(n - 9)*(n - 3)*(n + 1)/7
Let s(o) be the third derivative of 1/735*o**7 - 1/70*o**5 + 2/7*o**3 - 4*o - o**2 - 1/140*o**6 + 0 + 1/12*o**4. Let s(x) = 0. Calculate x.
-1, 2, 3
Let o(p) be the second derivative of -3/2*p**2 - 1/60*p**5 - 7/36*p**4 - 59*p + 0 + 17/18*p**3. Factor o(d).
-(d - 1)**2*(d + 9)/3
Let -12320 - 819*v**2 + 22723*v + 3898*v**3 + 3*v**5 - 202*v**4 - 11125*v**2 - 4868*v**2 + 2710 = 0. Calculate v.
1, 10/3, 31
Suppose 0 = -8*t - 505 + 865. Solve 104 - 3*a**4 - 104 - t*a**3 - 81*a**2 - 39*a = 0.
-13, -1, 0
Let q be (4*6/(-54))/(495/(-1782)). Solve -24/5*p**2 - q*p + 0 + 114/5*p**4 + 58/5*p**3 + 8*p**5 = 0 for p.
-2, -1, -1/4, 0, 2/5
Let u(j) = 4*j**2 - 14*j + 10. Let t(d) = -17*d**2 + 57*d - 40. Let y = 242 - 236. Let s(n) = y*t(n) + 26*u(n). Determine i, given that s(i) = 0.
1, 10
Let n be 8/2 + 258/86. Let c be n + -3 + (-1488)/(-42). Find b such that 132/7*b**4 + 0 - 4*b**5 - 44/7*b**3 - 72/7*b - c*b**2 = 0.
-1, -2/7, 0, 3
Let n(a) = -6*a**2 + 6*a. Suppose 0*v + 39 = -13*v. Let r(q) = -11*q**2 + 10*q + 1. Let o(g) = v*r(g) + 5*n(g). Factor o(y).
3*(y - 1)*(y + 1)
Suppose 54*s + 160 + 136 = 458. Solve 150*g + 500 + 1/2*g**s + 15*g**2 = 0.
-10
Let v(g) = g**3 - 6*g**2 + 20*g - 72. Let r be v(5). Suppose -121*b - 45 - 2*b**4 - 40*b**r - 110*b**2 - 3*b**4 - 4*b + 5*b = 0. Calculate b.
-3, -1
Let 7030 - 13799 + 7233 + 4*y**2 + 132*y = 0. Calculate y.
-29, -4
Let 11663979*q + 2506940006 - 18585*q**2 + 7377379*q - 12017014601 + 5385721*q + 5*q**3 - 1400264*q = 0. Calculate q.
1239
Solve -15*d**5 - 29*d**2 - 15*d**5 + 0*d**3 + 4*d**3 + 44*d**4 + 26*d**5 - 15*d**2 = 0 for d.
-1, 0, 1, 11
Suppose 5*b + 4*v + 5 = 16, 0 = -b - 5*v - 2. Factor 14*h - h**2 - 5*h**2 + b*h**2 + 2*h**2.
-h*(h - 14)
Let s(w) be the first derivative of 35*w**2 - 5/6*w**6 - 117 - 65/4*w**4 + 25*w**3 + 0*w - 15*w**5. Find k, given that s(k) = 0.
-14, -1, 0, 1
Suppose 62 = -13*o - 3. Let u be ((-480)/(-56) + -8)/(o/(-7)). Determine d, given that -4/5*d**2 - u*d + 0 = 0.
-1, 0
Suppose -d = 6*z - 8*z + 90, -2*z + 2*d = -88. Suppose -13*p + z = 10*p. Factor -19/8*s + 1/2*s**3 - 1/2 - 11/8*s**p.
(s - 4)*(s + 1)*(4*s + 1)/8
Suppose -2199*u + 200535 = -36957. Find y, given that 12*y**3 + 432*y - 1/2*y**4 - 648 - u*y**2 = 0.
6
Factor 13/4 - 10*o + 3/4*o**2.
(o - 13)*(3*o - 1)/4
Suppose -4*k + 2 = -i + 4, k = i - 8. Let u = -112 + 114. Factor 4*p**u + i*p**3 - 4*p**3 + 11*p**2 - p**3 - 20.
5*(p - 1)*(p + 2)**2
Let f(x) be the third derivative of -75*x**2 + 15/4*x**3 + 0 + 0*x - 13/8*x**4 + 11/40*x**5. Let f(u) = 0. Calculate u.
1, 15/11
Let w(u) = -14*u + 282. Let a be w(19). Let x(g) be the first derivative of -a + 4/13*g - 2/13*g**3 + 1/13*g**2. Factor x(f).
-2*(f - 1)*(3*f + 2)/13
Suppose -245*r = -22*r + 51 - 497. Factor 8*h + 24 + 2/3*h**r.
2*(h + 6)**2/3
Solve -2/7*c**3 - 1724/7*c**2 + 1726/7*c + 0 = 0 for c.
-863, 0, 1
Let z = 366525 + -366523. Determine n, given that -3/8*n**z - 93/8 - 12*n = 0.
-31, -1
Let h(d) be the third derivative of -d**5/30 - 8*d**4/15 + 12*d**3 + 556*d**2 + 1. Factor h(i).
-2*(i + 10)*(5*i - 18)/5
Let 8*d + 30 + 2*d**4 + 1536442*d**3 + 68*d + 64*d**2 - 1536422*d**3 = 0. Calculate d.
-5, -3, -1
Factor 46/5*j - 8/5*j**3 - 2*j**2 + 12/5.
-2*(j - 2)*(j + 3)*(4*j + 1)/5
Suppose 64/5*q - 2/5*q**4 + 0 - 72/5*q**2 + 24/5*q**3 = 0. Calculate q.
0, 2, 8
Suppose 0 = -c - 2*c - x + 30, 3*x - 9 = 0. Let b be 2/(-2) - (c + -13). Factor -2*g + 24*g + b*g + 20*g**2 + 5*g**3 + 10.
5*(g + 1)**2*(g + 2)
Let f(x) be the first derivative of -8/11*x + 5 - 2/11*x**5 + 7/11*x**4 - 20/11*x**2 + 2/11*x**3. Find o, given that f(o) = 0.
-1, -1/5, 2
Let t(n) = 6*n**4 - 22*n**3 + 112*n**2 - 160*n + 64. Let a(m) = m**4 - 4*m**3 + 22*m**2 - 32*m + 13. Let y(c) = -11*a(c) + 2*t(c). Factor y(f).
(f - 3)*(f - 1)**2*(f + 5)
Let l(w) = -2*w + 30*w - 4*w + 5*w + 16. Let m be l(9). Factor -3 + 277*i - m*i + 3*i**2.
3*(i - 1)*(i + 1)
Let m(p) = 0*p**2 + 2*p**2 - 128*p - 101*p - 69 - 71 + 255*p. Let l be m(-22). Let -l - 1/2*d**3 - 12*d**2 - 96*d = 0. What is d?
-8
Let b be 3/(-4)*-8*(-13)/(-39). Suppose 4 = b*u - 3*t, -49*t + 45*t + 8 = 4*u. Let -7/5*j - 2/5 - j**u = 0. What is j?
-1, -2/5
Let r = -82846/9 - -9206. Solve 0*l**2 + 0 + r*l - 2/9*l**3 = 0 for l.
-2, 0, 2
Suppose 0 = -h - 28 - 154. Let i = -89 - h. Let 14*x**2 + 102*x**3 - 6*x - i*x**3 + x**2 = 0. What is x?
-2, 0, 1/3
Let w(z) be the first derivative of 1/48*z**4 + 32 + 23*z + 0*z**2 + 0*z**3. Let r(t) be the first derivative of w(t). Find h such that r(h) = 0.
0
Let a = 353797 - 353797. What is x in 3/4*x**5 + 3/2*x**2 - 3/2*x**4 + 0*x**3 + a - 3/4*x = 0?
-1, 0, 1
Solve 0 + 7248/5*f - 4/5*f**2 = 0.
0, 1812
Let s be 414/5*(48 - 43). Let k be (-38)/(-72) + 92/s. Let -5/4*c**4 - 1/4*c - 1/4 - 1/2*c**3 + k*c**5 + 3/2*c**2 = 0. Calculate c.
-1, -1/3, 1
Let i(j) be the second derivative of j**6/10 + 3*j**5/4 - j**4/4 - 5*j**3/2 + 193*j - 2. Determine p, given that i(p) = 0.
-5, -1, 0, 1
Let 24 - 1/2*f + 1/2*f**3 - 24*f**2 = 0. Calculate f.
-1, 1, 48
Let j(h) = -57*h + 345. Let f be j(6). Suppose 2 + 35 = f*w - 5*s, 0 = 5*w + 4*s. Determine b so that 0 + 4/5*b**2 + 0*b + 14/5*b**3 + 2*b**w = 0.
-1, -2/5, 0
Let q(d) = 90*d**2 + 415*d + 715. Let r(k) = -k**3 + 92*k**2 + 414*k + 714. Let h be (-37)/(-7) - ((-16)/(-56) + 0). Let n(y) = h*r(y) - 6*q(y). Factor n(x).
-5*(x + 4)*(x + 6)**2
Let m(b) be the second derivative of -b**5/130 + 47*b**4/78 - 475*b**3/39 - 1875*b**2/13 - 9903*b. Find g such that m(g) = 0.
-3, 25
Let q = -11945 + 12085. Let h(w) be the first derivative of q*w**2 + 25/2*w**4 - 20 - w**5 - 160*w - 60*w**3. What is n in h(n) = 0?
2, 4
Factor 45*s**2 - 165*s**2 + 37*s**2 + 42*s**2 + 38*s**2 + 198*s.
-3*s*(s - 66)
Factor 0*u + 34/3*u**5 + 2*u**3 + 0 + 40/3*u**4 + 0*u**2.
2*u**3*(u + 1)*(17*u + 3)/3
Let w = -45352 - -226778/5. Find q such that -2/5*q**3 - 54/5*q - w*q**2 - 54/5 = 0.
-3
Let p be (-6 - -4)*1 - (-25 - -5). Let z be ((-29)/((-261)/(-30)))/((-16)/p). Factor 9/4*v**2 - 15/4*v + 3/4*v**4 - 3 + z*v**3.
3*(v - 1)*(v + 1)**2*(v + 4)/4
Let u(c) be the first derivative of c**4/84 - c**3/42 - c + 43. Let v(f) be the first derivative of u(f). Solve v(k) = 0.
0, 1
Suppose -13/4*k**2 - 11/4*k + 1/4*k**4 + 11/4*k**3 + 3 = 0. What is k?
-12, -1, 1
Let z(y) be the second derivative of y**4/12 + 955*y**3/3 + 912025*y**2/2 + y - 1036. Let z(t) = 0. What is t?
-955
Let i = -110 - -166. Factor i*x**4 - 2*x**3 - 6*x**2 - 54*x**4 + 2*x**2.
2*x**2*(x - 2)*(x + 1)
Suppose -19*k = -24*k + 805. Let a = -15 + k. Suppose m**4 + 2*m**3 - 4*m**3 | {
"pile_set_name": "DM Mathematics"
} |
(b) -0.4 (c) v (d) 2/19
a
Let f = 0.3 + -0.2. Let z = 24 - 26.5. Let k = z + 2.9. Which is the second smallest value? (a) f (b) 0 (c) k
a
Let q be ((-2)/(-10))/(18/20). Let p = -390 + 1956/5. Which is the third biggest value? (a) q (b) p (c) -4
c
Let i be -6 - 14/(-231)*102. What is the third biggest value in i, -2/57, -1/2, -3?
-1/2
Let j = -0.03 - 0.27. Let r = -0.1 - j. Suppose 0 = -4*w + 2*s - 10, -2*w + 2*s + 5 = -w. Which is the second biggest value? (a) r (b) 0.1 (c) w
b
Let g = -2.252 - -2.652. Which is the second biggest value? (a) g (b) 3 (c) 95
b
Suppose -36 = 11*j + 8. Which is the second biggest value? (a) 11 (b) 2 (c) j (d) 5
d
Let z = -1.84 - -2.34. What is the biggest value in 4, -1/4, z, -3?
4
Let f = -10.745 + -0.255. Let z = 6/121 + -28/121. Which is the third smallest value? (a) z (b) 4 (c) f
b
Let v = 4 + -4.2. Let r = -3.5 - -4.7. Let q = r + v. What is the third smallest value in q, 3/7, 0?
q
Let f = 1267 - 1313. Which is the second biggest value? (a) 1 (b) 5 (c) f
a
Let u = 709 - 702. What is the smallest value in u, 0.9, 0.1?
0.1
Let z = -1.111 - 2.889. What is the second biggest value in 4/7, 2/3, 0.2, z?
4/7
Let r = -2.161 + -1.839. Let u be (2614/(-11))/(-2)*-1. Let l = u - -119. Which is the smallest value? (a) l (b) r (c) 3
b
Let l = -19 - -16. Let p = 0.06 - 4.06. Let z = -3 - p. Which is the third biggest value? (a) l (b) z (c) 0.3
a
Let v = -2566/7 - -366. What is the second biggest value in -0.2, -0.18, v?
-0.2
Let n = -0.242 + 0.242. What is the smallest value in 6, n, -1/4?
-1/4
Let l be (20/15 - -1) + 9/(-27). Which is the second biggest value? (a) -4 (b) l (c) 3 (d) 11/8
b
Let h = 3.5 + 72. Let f = h - 76. Which is the third biggest value? (a) 5 (b) 0.5 (c) f (d) -1
c
Let a(q) = 9*q + 26. Let y be a(-1). What is the third smallest value in 4, y, 2/13?
y
Let j = 77 + -77.3. Let i = -19/10 - -12/5. Let w = 0.2 + -0.2. Which is the second smallest value? (a) w (b) j (c) i
a
Let g(r) = -r**2 - 12*r + 20. Let n be g(-14). Let f be n/(-36) - 102/(-27). Let q = 2.7 + -3. Which is the smallest value? (a) -5 (b) q (c) f
a
Let j(z) = 3*z + 5. Let u be j(0). Let d(v) = v**2 - v - 15. Let i be d(u). Which is the biggest value? (a) i (b) 7 (c) -5
b
Let z be (54 + -55)*(2 + -1). Let j = -8.1 + 9. Let k = j - -3.1. Which is the biggest value? (a) -0.2 (b) z (c) k
c
Let j = -0.4619 - 0.0381. What is the third biggest value in 1/38, -0.07, j?
j
Let y = 21/22 - 5/11. What is the smallest value in 10, 2/3, y?
y
Let l = -5 + 8. Let t be ((-7)/(-7))/(4 + -7). What is the third smallest value in t, l, 1/6?
l
Let k = -8.1 + 8.59. Let w = k + 0.11. Which is the fourth smallest value? (a) -1 (b) -5 (c) w (d) -3
c
Let w = -247 - -244. What is the biggest value in 0.09, -0.5, -2/3, w?
0.09
Let s(g) = -g**3 - 30*g**2 - 54*g + 58. Let q be s(-28). What is the biggest value in -2/53, -3/7, q, -4?
q
Let h = -996 - -998. What is the third biggest value in 0.1, -0.3, 2/3, h?
0.1
Let z = 3 + -4. Let t = z - -0.9. Let i = 742.96 - 743. Which is the biggest value? (a) i (b) t (c) -5
a
Let a = -0.06 + -24.94. Let i = a - -25.4. Let y = -0.03 + -0.27. What is the second biggest value in y, -1/2, i?
y
Let q = 4/269 - 289/1345. Which is the biggest value? (a) 4 (b) q (c) 1
a
Let m = -1/14 - 11/238. Let g = 1 + -2. Let v be 6*(-1)/(-16) + 0. Which is the smallest value? (a) m (b) v (c) g
c
Let t be 9 - 4 - 329/63. Let g = 2 + -7. What is the third biggest value in 2/3, g, t?
g
Let j = 13.4 + -13. Let w = j + -0.3. Let g = w - 0.1. Which is the second smallest value? (a) g (b) -4 (c) -2/3
c
Let u(j) = j + 25. Let r be u(-20). Let m be (-46)/42 - 30/(-70). Which is the fourth biggest value? (a) 0.3 (b) r (c) m (d) 1/6
c
Let j = -1.0155 + 0.0155. What is the biggest value in 5, 12, j, 3/8?
12
Let c = 161.8 + -176. Let i = c - -15.2. What is the second smallest value in 6, -0.2, i?
i
Let f(x) = -x**3 + 4*x**2 + 4*x + 7. Let m be f(5). Suppose 2*k = -5*n + 15, 0 = m*k - 2*n + 4*n. Let g = 45/4 - 11. What is the smallest value in g, -3/7, k?
k
Let x(o) = o + 4. Let m be x(5). Let s be (6 - m) + (-1258)/(-418). Let g = -432/1463 + s. Which is the biggest value? (a) 2/5 (b) -4 (c) g
a
Let z = -47.3 + 44.3. What is the third smallest value in -0.5, z, 1/2, 0.019?
0.019
Let l be 2 - ((-7059)/(-15) - 2). Let k = 465 + l. What is the second smallest value in k, -0.3, 4, -3?
k
Suppose 3*s + 104 = -85. Let l be (s/(-140))/((-6)/(-5)). Let p be (32/10)/4 + 0. Which is the smallest value? (a) p (b) 0.2 (c) l
b
Let o = -278 + 279.97. Let v = 0.03 + o. Suppose d - 7 = 3*b, b = -2*b + 5*d + 1. What is the third smallest value in b, 0.2, v?
v
Let y = -221.2 + 222. What is the second smallest value in 2/11, y, -0.06?
2/11
Let g = 23 - 16. Let l = -7.19 - -0.19. Let p = g + l. What is the third biggest value in p, 2, -4?
-4
Let s be (-116)/(-24) - 26/(-156). What is the second biggest value in s, 1/4, -0.25, 2/21?
1/4
Let a be -1 + 2 - 14/18. Let w be 34/119 - (-4)/(-7). What is the second smallest value in a, w, 0.8?
a
Let y = 2.03 - 2. Let w = -511.4 + 511. Which is the biggest value? (a) w (b) -3 (c) y
c
Let p = 2.58 - 2.78. What is the fourth smallest value in -3, 1/3, -2/33, p?
1/3
Suppose 4 = -4*a - 4. Let o = 1/62 - -1609/186. Let r = o + -173/21. What is the biggest value in -4, r, a?
r
Let k = -1 - 0.8. Let w = -3.3 - -2.1. Let v = w + k. What is the smallest value in -4, v, -0.1?
-4
Suppose h = r - 3*r - 11, 3*h + 1 = 2*r. Let p be 4/h*(-3)/(-30). Let x = 8.4 - 7.9. Which is the biggest value? (a) 8 (b) x (c) p
a
Let p = 9 + -9.44. Let v = p + 0.14. Let z = 13.3 + -13. Which is the biggest value? (a) z (b) 6 (c) v
b
Let a(k) = k**3 - 16*k**2 + 17*k - 22. Let q be a(15). Let y = -41/5 + q. What is the third smallest value in y, 2/5, -8?
2/5
Let y = -1093 - -1120. What is the second biggest value in 2/3, y, 1?
1
Let l = 993 + -992.313. Let o = l - -0.013. What is the biggest value in -1, 0, o?
o
Let w = -2.93 + 3. Let f = 5.07 - w. Let g = -2.999 + -0.001. Which is the third smallest value? (a) g (b) 3 (c) f
c
Let t = 0.093 + -0.063. Which is the third biggest value? (a) 1 (b) -1 (c) t
b
Let i = 2/141 + 260/1551. Let s be (88/(-48) + (-3)/(-2))/1. Which is the biggest value? (a) s (b) 2 (c) i (d) 1/6
b
Let z be (172/(-26))/((-12)/582). Let j = 321 - z. Let x = -2 - -3. What is the third smallest value in x, j, 0.1?
x
Let t be (12/(-8)*4 - -4) + 2. Which is the third smallest value? (a) 0.5 (b) 2/7 (c) -0.1 (d) t
b
Let h be 7/((-98)/12) - (-68)/(-238). What is the smallest value in -0.06, h, -4?
-4
Suppose -3 = -10*z + 17. Which is the second smallest value? (a) -0.5 (b) 15 (c) z (d) -0.1
d
Let v = -634 - -634.3. Which is the smallest value? (a) -75 (b) v (c) 0
a
Let d = -15173/2 - -7587. Let n(c) = c**2 - 6*c - 5. Let f be n(6). Let i = 2 - 2.4. What is the smallest value in i, d, f?
f
Let v = -2.8 - -3.01. Let d = v + -0.33. Let g = d + 1.12. Which is the third smallest value? (a) 2/3 (b) 3/5 (c) g
c
Let b = -136 - -249. Let l = b - 112.4. What is the second smallest value in 1, -0.5, l, -2?
-0.5
Let q = 8.59 + -9.59. Suppose -2 = -5*o + 18. What is the biggest value in q, o, 1, -0.5?
o
Let n = -793 + 789. What is the third biggest value in n, 0.02, 0.4, -5?
n
Suppose 0 = 5*h + 13*p - 15*p - 398, 4*p = -5*h + 404. What is the third biggest value in -2, -2/5, h?
-2
Let m = 40 + -31.4. Let w = m - 8.17. Let o = -0.23 + w. What is the second smallest value in -0.4, -0.3, o?
-0.3
Let k be -1*(2 + 1) + (33 - 27). Let o be (-4)/10*(5 - k). Let b = 3.8 - 0.8. What is the biggest value in b, 1, o?
b
Let s(n) = n**2 - 15*n + 1. Let m be s(11). Let w = m - -67. Let l = w + -20. Which is the second biggest value? (a) 1 (b) l (c) 3/4
a
Let n = 53 + -213/4. Let x be (-3 + 7/2)/(10/(-4)). Which is the smallest value? (a) x (b) 2 (c) 1.4 (d) n
d
Let o = -0.22 + 0.13. Let v = 0.11 - o. Which is the third smallest value? (a) -1 (b) 0.07 (c) v
c
Let o = 0.3 + 0.2. Let g(j) = 4 - j**2 + 0*j - 12 + 6*j + j. Let t be g(5). What is the biggest value in o, 5, t?
5
Let m = 0.84 + 0.16. Let p = -22 + 16. Which is the third biggest value? (a) 5 (b) m (c) p
c
| {
"pile_set_name": "DM Mathematics"
} |
picked without replacement from lrnolbbltblbrrttl.
3/272
Three letters picked without replacement from vvqvdviqqvvrvvvvr. Give prob of sequence vqv.
9/136
Calculate prob of sequence je when two letters picked without replacement from {e: 1, j: 2}.
1/3
Three letters picked without replacement from eexxxex. Give prob of sequence eee.
1/35
Two letters picked without replacement from {q: 2, m: 1, b: 1}. Give prob of sequence mb.
1/12
What is prob of sequence tpy when three letters picked without replacement from {p: 1, y: 5, g: 7, t: 1, n: 1}?
1/546
Calculate prob of sequence bb when two letters picked without replacement from {b: 4, l: 2, y: 1, v: 2}.
1/6
Four letters picked without replacement from {k: 1, x: 4, z: 2, i: 1}. What is prob of sequence xizx?
1/70
Calculate prob of sequence dmi when three letters picked without replacement from {i: 6, d: 2, m: 11}.
22/969
Three letters picked without replacement from {a: 1, w: 1, x: 1, q: 1, o: 2, n: 1}. Give prob of sequence wqa.
1/210
Calculate prob of sequence zjjn when four letters picked without replacement from nnnjjnnfnjjnjjzj.
7/1040
Four letters picked without replacement from wkkvdckk. What is prob of sequence cdcc?
0
Three letters picked without replacement from {c: 5, z: 8, d: 5}. What is prob of sequence ccd?
25/1224
Four letters picked without replacement from {z: 6, r: 3, v: 6}. Give prob of sequence rzzr.
1/182
What is prob of sequence xi when two letters picked without replacement from xhqhttqxoxiq?
1/44
Calculate prob of sequence ttd when three letters picked without replacement from ttd.
1/3
Calculate prob of sequence dddd when four letters picked without replacement from dddd.
1
Calculate prob of sequence qpx when three letters picked without replacement from {p: 4, q: 10, x: 2}.
1/42
Four letters picked without replacement from lqkfkvvw. What is prob of sequence vkqw?
1/420
What is prob of sequence cfx when three letters picked without replacement from {c: 1, f: 1, o: 4, x: 4}?
1/180
What is prob of sequence qi when two letters picked without replacement from qoicoioioiq?
4/55
What is prob of sequence oso when three letters picked without replacement from {q: 1, s: 2, o: 2, l: 1, h: 1}?
2/105
Two letters picked without replacement from pxpyxhpyphhxhb. What is prob of sequence pp?
6/91
What is prob of sequence ooo when three letters picked without replacement from oooooooooo?
1
Three letters picked without replacement from chhhhhchchhh. Give prob of sequence cch.
9/220
Three letters picked without replacement from mlkpppppt. Give prob of sequence kpl.
5/504
Two letters picked without replacement from {y: 14, c: 5}. Give prob of sequence yy.
91/171
Two letters picked without replacement from {l: 1, j: 1, m: 3, i: 1, o: 5}. What is prob of sequence io?
1/22
Three letters picked without replacement from {n: 1, d: 3, o: 1, m: 2}. Give prob of sequence nmd.
1/35
What is prob of sequence aana when four letters picked without replacement from aaaaaanaaaaaa?
1/13
What is prob of sequence rlm when three letters picked without replacement from qrlqqlmqqmqm?
1/220
Two letters picked without replacement from yyyyyyyywwyywyyyyy. What is prob of sequence yw?
5/34
What is prob of sequence qs when two letters picked without replacement from qsppqmpppqqq?
5/132
What is prob of sequence xk when two letters picked without replacement from {v: 1, f: 1, k: 2, q: 1, x: 2}?
2/21
Calculate prob of sequence lzq when three letters picked without replacement from {z: 4, q: 5, w: 4, m: 1, l: 2}.
1/84
What is prob of sequence bu when two letters picked without replacement from wbwwhbu?
1/21
Calculate prob of sequence en when two letters picked without replacement from {m: 7, n: 2, e: 5}.
5/91
What is prob of sequence oi when two letters picked without replacement from jbbbobimo?
1/36
Four letters picked without replacement from {d: 1, y: 4, b: 2, f: 4, x: 2, s: 2}. Give prob of sequence dxxy.
1/4095
Two letters picked without replacement from {d: 2, l: 3, g: 1, j: 1, w: 5, h: 1}. What is prob of sequence ld?
1/26
What is prob of sequence uuzr when four letters picked without replacement from rruzrurrrurrrrrr?
3/1820
Three letters picked without replacement from owoooooooooo. Give prob of sequence woo.
1/12
Four letters picked without replacement from kkkkskssrp. Give prob of sequence spks.
1/168
Two letters picked without replacement from {z: 3, j: 2, k: 2, m: 8}. What is prob of sequence jz?
1/35
Calculate prob of sequence epl when three letters picked without replacement from {g: 1, l: 2, p: 2, r: 1, e: 11, c: 1}.
11/1224
What is prob of sequence za when two letters picked without replacement from {a: 1, u: 6, h: 5, q: 1, z: 2}?
1/105
What is prob of sequence on when two letters picked without replacement from {o: 1, n: 19}?
1/20
Two letters picked without replacement from yjyjjjj. Give prob of sequence jy.
5/21
Two letters picked without replacement from {g: 1, j: 3, n: 1}. Give prob of sequence gn.
1/20
Calculate prob of sequence ddv when three letters picked without replacement from {d: 2, v: 3}.
1/10
Four letters picked without replacement from {w: 1, q: 1, v: 1, r: 1, b: 2, z: 1}. What is prob of sequence vbbq?
1/420
Two letters picked without replacement from gwqqquqqwqgquwqwwiqq. What is prob of sequence iq?
1/38
Calculate prob of sequence ff when two letters picked without replacement from {z: 3, f: 12, w: 3}.
22/51
What is prob of sequence gss when three letters picked without replacement from gfggkkgggss?
2/165
Two letters picked without replacement from iqccccyfiicifq. Give prob of sequence fq.
2/91
Calculate prob of sequence hjbn when four letters picked without replacement from {d: 4, h: 1, j: 5, b: 6, n: 4}.
1/969
Calculate prob of sequence kr when two letters picked without replacement from {g: 9, t: 2, k: 1, r: 2}.
1/91
Three letters picked without replacement from eemeeuubcmus. What is prob of sequence mbu?
1/220
Four letters picked without replacement from {u: 1, o: 1, r: 1, e: 2, z: 2}. Give prob of sequence euor.
1/420
Three letters picked without replacement from sigsissieisiisii. What is prob of sequence ise?
1/70
Calculate prob of sequence pk when two letters picked without replacement from {k: 12, p: 7}.
14/57
Two letters picked without replacement from {k: 5}. What is prob of sequence kk?
1
Three letters picked without replacement from {x: 7, v: 4, s: 1, r: 8}. What is prob of sequence xsv?
7/1710
Calculate prob of sequence ddd when three letters picked without replacement from {r: 2, t: 1, a: 1, d: 8, g: 5}.
7/85
Three letters picked without replacement from kwkk. Give prob of sequence kwk.
1/4
Four letters picked without replacement from cvgrgvccgvcrr. What is prob of sequence vrrv?
3/1430
Calculate prob of sequence lwnw when four letters picked without replacement from {n: 1, x: 2, y: 3, w: 6, l: 1}.
1/572
What is prob of sequence ss when two letters picked without replacement from {s: 8, j: 4, w: 4}?
7/30
What is prob of sequence zzd when three letters picked without replacement from dddddzzzdddzddddoz?
5/102
What is prob of sequence ii when two letters picked without replacement from zizikkiizik?
2/11
Two letters picked without replacement from tkdddtkdtkdtdddd. What is prob of sequence td?
3/20
What is prob of sequence hxh when three letters picked without replacement from {w: 2, x: 1, c: 1, i: 2, u: 3, h: 10}?
5/323
Calculate prob of sequence lho when three letters picked without replacement from {o: 1, r: 1, l: 2, t: 2, h: 1, j: 1}.
1/168
Three letters picked without replacement from lyeeleekekeceerkc. What is prob of sequence clc?
1/1020
Two letters picked without replacement from {u: 5, r: 1, p: 1, h: 1, l: 1}. Give prob of sequence rl.
1/72
What is prob of sequence tii when three letters picked without replacement from mgizgtigzgggzmz?
1/1365
Two letters picked without replacement from tbddnjbdbjbdsn. What is prob of sequence dt?
2/91
Three letters picked without replacement from msssccs. What is prob of sequence ccs?
4/105
Four letters picked without replacement from {f: 3, z: 1, t: 13}. What is prob of sequence ztft?
39/4760
What is prob of sequence fte when three letters picked without replacement from {f: 1, t: 1, z: 1, e: 2}?
1/30
What is prob of sequence bc wh | {
"pile_set_name": "DM Mathematics"
} |
v. Let g(p) = 27*p - 5. What is -6*g(m) + 7*r(m)?
27*m + 2
Let h(f) = 1734*f - 191. Let p(c) = 110*c - 12. Calculate -6*h(n) + 94*p(n).
-64*n + 18
Let w(d) = -d**2 - 1297*d - 1. Let h(y) = -2*y**2 - 3874*y - 2. What is -3*h(b) + 8*w(b)?
-2*b**2 + 1246*b - 2
Let w(t) = -215*t - 55. Suppose 349 - 397 = 8*y. Let j(i) = 8*i + 2. Calculate y*w(o) - 165*j(o).
-30*o
Let p(k) = -15195*k**3 + 24*k**2 + 12*k - 12. Let w(b) = -6078*b**3 + 10*b**2 + 5*b - 5. Determine -5*p(n) + 12*w(n).
3039*n**3
Let m(s) = -478*s + 139. Let p(v) = 479*v - 161. Calculate -7*m(q) - 6*p(q).
472*q - 7
Let t(x) = -7 - 2 + 22 - 1 - 13. Let w(d) = -12*d**2 + 2. Calculate 3*t(n) + w(n).
-12*n**2 - 1
Let y(v) = 8*v - 4. Let s(g) = 8 - 1 - 7*g - 4. Let r(w) = -2*w - 28. Let a be r(-15). Let j be 1/a*(1 - 11)/1. What is j*s(d) - 4*y(d)?
3*d + 1
Let q(c) = 1360*c**2 + 51*c + 3. Let v(r) = -1359*r**2 - 35*r - 2. Determine 2*q(i) + 3*v(i).
-1357*i**2 - 3*i
Let r(m) = 16*m**3 - 3*m - 3. Suppose 1409 = -12*a + 1469. Let t(i) = -31*i**3 + 5*i + 5. Give a*r(w) + 3*t(w).
-13*w**3
Let f(b) = -7*b - 32. Let l(a) be the first derivative of -13*a**2/2 - 64*a + 13396. What is -11*f(q) + 6*l(q)?
-q - 32
Let q(m) be the third derivative of 2*m**3/3 - 135*m**2 + m. Let p(h) = h + 10. Calculate -4*p(l) + 10*q(l).
-4*l
Let a(b) = 13*b - 17. Let w(z) = -7*z + 9. Let m(r) = -265*r - 798. Let n be m(-3). Calculate n*a(f) - 5*w(f).
-4*f + 6
Let x = 31930 + -31931. Let t(y) = y**2 - y. Let j(h) = 33*h**2 + 3*h. Determine x*j(w) - 2*t(w).
-35*w**2 - w
Let z(f) = f**2 + 37*f + 480. Let c(l) = -l**2 - 31*l - 481. Give 6*c(n) + 5*z(n).
-n**2 - n - 486
Let g(f) = 5*f**3 + 4*f**2 - 2*f + 4. Suppose -22609 = -7*v - 22602. Let j(b) = b**3 + b**2 + 1. Determine v*g(p) - 4*j(p).
p**3 - 2*p
Let g(z) = 529*z - 44. Let d(o) = -530*o + 53. What is -5*d(q) - 6*g(q)?
-524*q - 1
Let i(q) = -3*q + 130. Let w(v) = -15*v + 648. Calculate -33*i(m) + 6*w(m).
9*m - 402
Let m(q) = 246*q**2 - 15*q - 8. Let s(w) = 248*w**2 - 11*w - 7. Calculate -2*m(l) + 3*s(l).
252*l**2 - 3*l - 5
Let g(k) = 40*k**2 + 26*k - 7. Let z(x) = 40*x**2 + 24*x - 6. What is 6*g(u) - 7*z(u)?
-40*u**2 - 12*u
Let v(j) = -4*j**2 + 4*j + 3. Let d(x) = -9*x - 7 + 4*x**2 + 4*x**2 + 7*x**2 - 6*x**2. Let q be 11/209*2 + (-279)/(-57). Calculate q*v(l) + 2*d(l).
-2*l**2 + 2*l + 1
Let m = 10289 - 10278. Let i(x) = 4 - 11*x + 19*x**2 - 4 - 8. Let y(s) = 6*s**2 - 4*s - 3. Calculate m*y(c) - 4*i(c).
-10*c**2 - 1
Let o(b) = 74*b**3 - 44*b**2 - 2*b + 2. Let d(x) = -6*x**2 + 2*x - 2. What is -d(w) - o(w)?
-74*w**3 + 50*w**2
Let r(t) be the second derivative of 33*t**5/20 + t**4/3 + 2*t**2 + 145*t + 2. Let x(c) = -34*c**3 - 5*c**2 - 5. What is 5*r(g) + 4*x(g)?
29*g**3
Let h(y) = -89*y. Let c(x) = 227*x + 34. Calculate c(m) + 4*h(m).
-129*m + 34
Let j(a) = -a**3 - a**2. Suppose 117*h - 104*h + 39 = 0. Let q(b) = b**3 + b**2. Determine h*q(y) - 5*j(y).
2*y**3 + 2*y**2
Let j(n) = -7*n + 4. Let c(v) = -14*v - 13 - 13 + 33. What is -4*c(p) + 7*j(p)?
7*p
Let c(l) = l**3 + l**2 + 2*l + 4. Let j(y) = y**2 + 2*y + 3. Let b = 171 + -155. Let f be (-3 - (-60)/b)/((-1)/(-4)). Give f*c(z) - 4*j(z).
3*z**3 - z**2 - 2*z
Let f(d) = -d. Let i(p) = -p**2 + 3*p. Let h be ((-396)/63 + 1 + 5)/(58/203). Let q be 8/3*(-6)/4. Calculate h*i(l) + q*f(l).
l**2 + l
Let h(i) = 89*i + 77. Let v(y) = -102*y - 78. What is 7*h(o) + 6*v(o)?
11*o + 71
Let f(i) = -6*i - 3. Let u(a) = 3*a + 1. Let t be (-990)/462*7/(-3). What is t*u(o) + 3*f(o)?
-3*o - 4
Let b(k) = 43*k**3 - 9*k**2 - 5*k - 4. Suppose 66*w - 40*w + r - 56 = 0, -3*r = -5*w - 2. Let t(p) = -21*p**3 + 4*p**2 + 2*p + 2. Determine w*b(m) + 5*t(m).
-19*m**3 + 2*m**2 + 2
Let q(k) = -575*k + 69. Let o(v) = 17*v - 2. Give -138*o(j) - 4*q(j).
-46*j
Let h(c) = 3*c**2 - 3*c - 118. Let t(b) = 4*b**2 - 109. Calculate -3*h(f) + 2*t(f).
-f**2 + 9*f + 136
Let p(v) = -5*v - 7. Let d = 1035 - 664. Let w = d - 368. Let m(a) = -2*a - 3. What is w*p(x) - 7*m(x)?
-x
Let m(b) = -53*b - 65. Let i(d) = -6. Give -7*i(l) - m(l).
53*l + 107
Let f(v) = 459*v + 4. Let k(h) = 15162*h + 133. Determine -133*f(x) + 4*k(x).
-399*x
Let b(x) = -595*x**2 - 9. Let q(r) = -1784*r**2 - 25. Determine -17*b(d) + 6*q(d).
-589*d**2 + 3
Suppose c + 3*y = 14, 0 = -4*c + 5*c - 3*y + 4. Suppose c = 2*l - l. Let j(r) = -r - 2. Let i(s) = -3*s - 4. Calculate l*j(n) - 2*i(n).
n - 2
Let q(k) = 17*k**3 - 58*k**2 + 7*k + 7. Let u(i) = 10*i**3 - 29*i**2 + 4*i + 4. Calculate -4*q(a) + 7*u(a).
2*a**3 + 29*a**2
Let p(b) = -69*b**3 + 9*b**2 - 9*b. Let v be 1/8*(95 + -55). Let l(f) = -34*f**3 + 5*f**2 - 5*f. Determine v*p(j) - 9*l(j).
-39*j**3
Let r be (21/147)/(1/42). Let p(l) be the third derivative of 7*l**4/24 + 2*l**3/3 + 3*l**2. Let a(j) = -j - 1. Give r*a(i) + p(i).
i - 2
Let l(a) = 20*a - 189. Let y(o) = -o - 30. Give -l(z) - 4*y(z).
-16*z + 309
Let j(n) = 4515*n - 2. Let r(t) = 4515*t - 2. What is -8*j(i) + 9*r(i)?
4515*i - 2
Let y(i) be the third derivative of -i**6/120 + i**3 + 306*i**2. Let d(q) = 1. Suppose 4*p = -4*f - 40, -4*f + 7*p = 6*p + 20. Calculate f*d(b) + y(b).
-b**3
Let o(j) = -j**2 - j. Let r(l) = -5*l. Let m be (-234)/195*30/4 - (0 + 6). Determine m*o(g) + 3*r(g).
15*g**2
Let i(q) = -10*q - 9. Let x(j) = -20*j - 18. Let y(t) = 5*i(t) - 2*x(t). Let s(f) = -f + 4*f - 3736 + 3739 + 0*f. Give 7*s(z) + 2*y(z).
z + 3
Let s(d) = d + 5. Let n = -9 + 2. Let a be s(n). Let w(i) = i + 1. Suppose -8045*j + 8247*j - 202 = 0. Let x(m) = 4*m + 4. What is a*w(o) + j*x(o)?
2*o + 2
Let a(s) = 107*s**3 - 31*s**2 + 4*s - 7. Let h(i) = -53*i**3 + 17*i**2 - 2*i + 4. Give 6*a(l) + 11*h(l).
59*l**3 + l**2 + 2*l + 2
Let o(k) = -353*k + 2. Let p(c) = -1079*c + 5. Give -7*o(x) + 2*p(x).
313*x - 4
Suppose 43*y - 24 = 51*y. Let m(f) = 9*f**3 + 24*f**2 + 7*f - 7. Let t(d) = 4*d**3 + 12*d**2 + 3*d - 3. Give y*m(n) + 7*t(n).
n**3 + 12*n**2
Let p(i) = -13*i + 2. Let c(m) = -12*m - 304. What is c(o) - p(o)?
o - 306
Let f(v) be the third derivative of -v**4/24 + 17*v**3/6 + v**2. Let o(h) = 2*h - 497. Let m(n) = n - 201. Let u(q) = 5*m(q) - 2*o(q). What is -5*f(j) - 8*u(j)?
-3*j + 3
Let q(r) = -3. Let t(j) = 282*j**2 + 24. Determine -24*q(i) - 3*t(i).
-846*i**2
Let q(k) = -4573*k - 27. Let t(f) = -1523*f - 8. Calculate -2*q(p) + 7*t(p).
-1515*p - 2
Let b(l) = -2*l + 3*l + 6180431*l**3 - 6180432*l**3. Let y(a) = a**3 - 2*a**2 - 4*a + 2. Determine 3*b(z) + y(z).
-2*z**3 - 2*z**2 - z + 2
Let j(v) = -2 + 0 - 5*v - 6. Let o be (28*3)/4*33/9. Let k(g) = -83 - o + g + 161. Give -j(r) - 6*k(r).
-r + 2
Let t(i) = 13*i**2 - 6*i + 6. Let j(w) = -14*w**2 + 7*w - 7. Let s be 1 - 6/9 - (-9065)/21. Suppose 0 = -s*m + 421*m + 77. Determine m*t(b) + 6*j(b).
7*b**2
Let j(i) = 12*i. Let v(x) = -3*x. Suppose -13*b + 6*b - 14 = 0. Give b*j(k) - 9*v(k).
3*k
Let z(c) = -c**2 - c + 1. Let f = -14865 + 14864. Let t(k) = -80*k**2 - 16*k + 16. Calculate f*t(j) + 16*z(j).
64*j**2
Let l(h) = 116*h + 1. Let f(m) = m**2 + 18*m. Give 4*f(p) + l(p).
4*p**2 + 188*p + 1
Let b(k) = -10*k + 45. Let m(d) = 2*d - 9. Let g = 830 + -735. Let s be (418/g)/((-4)/(-10)). Determine s*m(c) + 2*b(c).
2*c - 9
Let l(w) = -4*w. Let x(c) be the first derivative of -c**2/2 - c + 891. What is -2*l(m) + 4*x(m)?
4*m - 4
Suppose g - 1 = -2*v, 3*v + 6*g + 11 = 2*g. Let p(q) = 7*q**3 - 7*q**2 + 7*q. Let i(h) = 4173*h**3 - 4177*h**3 - h**2 + 4*h**2 - 3*h. What is v*p(n) + 7*i(n)?
-7*n**3
Let k(h) be the second derivative of -5*h**4/12 + h**3/2 - 117*h. Let w(a) = -a**2 + a. Suppose -u - 18 = -7*u. Determine u*w(s) - k(s).
2*s**2
Let p(i) = -3689*i**2 - 12*i + 18. Let u(q) = 247163*q**2 + 806*q - 1209. Give 403*p(s) + 6*u(s).
-3689*s**2
Let d(q) = -q + 1. Let o(g) = g + 6. Let v = 95 - 97. Calculate v*d(s) - o(s).
s - 8
Let r = 40 + -64. Let h = r - -19. Let p(w) = -1. Let d(j) = 4*j**2 + 2*j + 4. Give h*p(n) - d(n).
-4*n**2 - 2*n + 1
Let d(m) = 25*m**2 - 9*m - 3. Let f(w) = 55*w**2 - 20*w - 6. Determine -18*d(a) + 8*f(a).
-10*a**2 + 2*a + 6
Let r(j) = j**2 + j + 1. Let n = 19 - 18. Let t(d) = -4*d**2 - 7*d - 5. Let b(x) = -19*x**3 + 112*x**2 + 13*x. Let s be b(6). Give n*t(i) + s*r(i).
2*i**2 - i + 1
Let v(w) = -2*w**3 - 2*w**2 + 4*w + 4. Suppose 0 = 4*s, -4*u - 10 = u - 4*s. Let h be u/((8 + -7)*2). Let f(x) = x**2 - x - 1. Give h*v(a) - 2*f(a).
2*a**3 - 2*a - 2
Le | {
"pile_set_name": "DM Mathematics"
} |
- 141*q - 162. What is s(-9)?
54
Let l(k) = -332*k - 657. Determine l(-2).
7
Let v(u) = 26*u**2 - 17*u - 8. What is v(5)?
557
Let f(s) = -5*s**3 - 9*s**2 - 28*s + 10. Determine f(-3).
148
Let u(r) = 40*r - 1979. What is u(53)?
141
Let j(w) = 62*w + 25. Give j(-7).
-409
Let z(y) = -3*y**2 - 53*y - 94. What is z(-15)?
26
Let j(t) = t**3 - 105*t**2 - 439*t + 244. Calculate j(109).
-83
Let q(r) = r**3 - 16*r**2 + 20*r - 40. Calculate q(15).
35
Let j(m) = 145*m**2 + 14499*m - 119. Determine j(-100).
-19
Let b(m) = m**2 - 27*m - 27. Calculate b(0).
-27
Let o(s) = s**2 + 187*s + 374. What is o(-2)?
4
Let h(l) = -12*l - 124. Determine h(-9).
-16
Let m(b) = -5*b**2 + 103*b - 494. Calculate m(13).
0
Let n(t) = -162*t + 4218. Give n(26).
6
Let d(b) = -40*b - 120. What is d(-6)?
120
Let j(y) = 2*y**3 - 271*y**2 + 418*y - 2155. Determine j(134).
-11
Let l(b) = 85*b + 624. Calculate l(-7).
29
Let w(h) = -2*h**3 - 61*h**2 - 28*h + 95. Give w(-30).
35
Let c(r) = -r**2 - 52*r - 464. Calculate c(-11).
-13
Let c(m) = -365*m - 2558. Give c(-7).
-3
Let p(g) = -g**3 + 34*g**2 + 37*g - 30. What is p(35)?
40
Let a(s) = -16*s**3 + 145*s**2 + 5*s - 24. What is a(9)?
102
Let x(z) = -206*z + 15650. Determine x(76).
-6
Let n(d) = 11*d + 53. What is n(6)?
119
Let k(c) = -4*c**2 - 6*c + 3. Determine k(1).
-7
Let b(j) = -949*j + 8549. What is b(9)?
8
Let i(g) = -24*g**2 - g - 18. Determine i(2).
-116
Let x(t) = -1159*t + 15050. Determine x(13).
-17
Let n(h) = -64*h - 1890. Calculate n(-30).
30
Let n(f) = 1095*f - 6576. Give n(6).
-6
Let g(a) = -77*a + 1112. Give g(17).
-197
Let w(c) = -152*c - 547. Calculate w(-4).
61
Let z(f) = f**3 - 43*f**2 - 10*f + 428. What is z(43)?
-2
Let n(r) = -14*r - 113. Determine n(-10).
27
Let n(v) = 24*v - 1467. What is n(61)?
-3
Let n(o) = -21*o + 630. What is n(25)?
105
Let s(i) = i**2 + 181*i - 155. Give s(0).
-155
Let o(w) = -36*w - 84. What is o(-5)?
96
Let z(b) = -16*b**3 - 2*b**2 - 4*b - 8. Determine z(-2).
120
Let y(l) = 72*l + 1034. Give y(-14).
26
Let q(g) = g**2 - 30*g + 138. Give q(26).
34
Let q(k) = k**3 - 23*k**2 + 34*k + 8. Determine q(21).
-160
Let b(p) = 1363*p - 17728. What is b(13)?
-9
Let w(u) = u**3 + 5*u**2 + 16*u + 55. Calculate w(-5).
-25
Let n(p) = -p**2 - 85*p - 1730. Give n(-34).
4
Let y(s) = 12*s**2 - 1484*s - 560. Calculate y(124).
-64
Let a(q) = 9*q**2 + 27*q + 98. Give a(-4).
134
Let r(b) = -16*b + 15. Give r(8).
-113
Let r(o) = o**3 - 12*o**2 - 20*o - 8. Calculate r(14).
104
Let c(r) = -355*r - 2878. What is c(-8)?
-38
Let n(v) = -v**3 - 19*v**2 + 6*v - 275. Give n(-20).
5
Let q(n) = -n**3 - 42*n**2 - 152*n - 13. Determine q(-38).
-13
Let n(j) = -3*j**2 + 189*j - 1950. Calculate n(13).
0
Let z(x) = -602*x + 4803. What is z(8)?
-13
Let v(p) = 5102*p + 66317. Determine v(-13).
-9
Let g(o) = 57*o - 3242. What is g(57)?
7
Let s(f) = -f**3 + 10*f**2 + 3*f + 12. Determine s(9).
120
Let o(l) = -l**3 - 2*l**2 + 3949*l + 7896. Calculate o(-2).
-2
Let k(h) = h**3 - 5*h**2 - 14*h - 87. Calculate k(8).
-7
Let w(t) = -41*t - 575. Give w(-12).
-83
Let h(j) = 13*j**2 - 247*j + 65. Give h(19).
65
Let a(w) = -w**3 - 55*w**2 - 78*w + 1104. Give a(-53).
-380
Let o(m) = m**3 + 19*m**2 - 91*m - 58. Determine o(-23).
-81
Let g(o) = -17*o**2 + 2223*o + 523. What is g(131)?
-1
Let x(s) = 11*s**2 - 70*s - 37. What is x(7)?
12
Let v(c) = 11*c**2 + 144*c - 13. Determine v(-13).
-26
Let i(r) = 22*r**3 + 2*r**2 - 33*r + 68. Give i(2).
186
Let o(l) = 3520*l + 21111. Determine o(-6).
-9
Let f(s) = -72*s - 2460. Calculate f(-37).
204
Let i(s) = s**3 - 109*s**2 + 419*s + 103. Determine i(105).
-2
Let p(h) = 408*h - 3277. Give p(8).
-13
Let k(c) = 21*c**3 + 2*c**2 + 20*c - 20. Determine k(1).
23
Let w(n) = 6*n**2 - 177*n + 355. Determine w(2).
25
Let v(l) = 3*l**2 + 79*l + 563. Give v(-8).
123
Let m(n) = -n**3 - 5*n**2 + 62*n + 249. Give m(-6).
-87
Let l(t) = t**2 + 8*t + 45. What is l(14)?
353
Let t(p) = p**3 + 25*p**2 + 10*p - 37. Give t(-24).
299
Let z(g) = -68*g - 612. What is z(-9)?
0
Let x(r) = -4*r**3 + 11*r**2 - 713*r + 2161. Give x(3).
13
Let j(m) = m**2 + 12*m + 48. Calculate j(-10).
28
Let g(s) = -149*s**2 - 302*s - 1. What is g(-2)?
7
Let u(n) = 105*n**2 + 12*n + 3. Determine u(1).
120
Let g(q) = -343*q + 289. Give g(1).
-54
Let g(y) = -3*y**3 + 25*y**2 - 34*y - 11. Give g(9).
-479
Let p(r) = -53*r**2 - 9. Give p(2).
-221
Let f(l) = -7*l + 208. Give f(28).
12
Let q(f) = f**2 - 65*f + 872. Determine q(22).
-74
Let m(r) = 23*r - 1107. Determine m(49).
20
Let w(z) = -z**3 - 16*z**2 + 28*z - 75. Determine w(-17).
-262
Let m(p) = -p**3 - 21*p**2 + 14*p - 141. Give m(-22).
35
Let z(h) = -39*h + 3332. Calculate z(94).
-334
Let c(l) = l**2 + 41*l + 96. Give c(-38).
-18
Let q(v) = -v**2 - 105*v + 673. Give q(6).
7
Let c(o) = -12*o**2 + 589*o - 58. What is c(49)?
-9
Let x(q) = -6*q**2 - 64*q + 62. Calculate x(-7).
216
Let p(i) = -309*i - 972. Give p(-3).
-45
Let j(b) = -8*b + 857. Determine j(98).
73
Let x(l) = -38*l - 1375. Give x(-39).
107
Let q(g) = 150*g + 839. What is q(-6)?
-61
Let h(x) = 159*x**2 - 18923*x + 243. What is h(119)?
5
Let m(h) = -123*h + 4521. Determine m(36).
93
Let n(c) = -1280*c - 2543. Give n(-2).
17
Let w(c) = -322*c + 12246. Calculate w(38).
10
Let k(d) = -6*d**2 + 373*d - 79. Calculate k(62).
-17
Let p(z) = -z**2 - 37*z - 243. What is p(-30)?
-33
Let u(d) = -3*d**2 - 6*d + 40. What is u(9)?
-257
Let s(j) = -736*j + 92733. Calculate s(126).
-3
Let c(r) = r**3 + 15*r**2 + 32*r + 34. What is c(-6)?
166
Let h(g) = 29*g + 280. Determine h(-16).
-184
Let n(p) = -509*p - 3047. Calculate n(-6).
7
Let m(x) = -5*x**2 + 37*x + 254. Calculate m(-6).
-148
Let w(i) = 2*i**3 + 31*i**2 + 14*i - 6. Give w(-15).
9
Let i(y) = 419*y + 2496. Give i(-6).
-18
Let l(z) = z**3 + 18*z**2 + 47*z + 377. What is l(-16)?
137
Let z(a) = 2*a**3 - 9*a**2 + 12*a - 17. Determine z(3).
-8
Let l(m) = m**3 + 9*m**2 - 25*m + 5. What is l(-11)?
38
Let c(y) = -6142*y + 49144. What is c(8)?
8
Let a(v) = 277*v + 1957. Give a(-7).
18
Let m(z) = -121*z**2 + 602*z + 13. What is m(5)?
-2
Let x(o) = -18*o + 466. Calculate x(51).
-452
Let z(s) = -20*s + 699. Give z(35).
-1
Let l(j) = -2*j**2 - j + 855. Determine l(-21).
-6
Let a(c) = -c**3 + 20*c**2 - 44*c + 148. What is a(18)?
4
Let y(w) = w**3 - 20*w**2 + 14*w + 4. Determine y(19).
-91
Let m(x) = 246*x + 91250. Give m(-371).
-16
Let d(f) = -f**3 + 21*f**2 + 30*f - 167. Calculate d(22).
9
Let q(y) = 111*y - 1105. What is q(9)?
-106
Let t(r) = 126*r**3 - 4*r**2 + 7*r - 5. Determine t(1).
124
Let i(j) = 2*j**3 + 78*j**2 + 2*j + 104. Calculate i(-39).
26
Let z(p) = -510*p - 5080. Determine z(-10).
20
Let c(o) = -726*o - 179324. Calculate c(-247).
-2
Let i(j) = j**3 - 18*j**2 - 15*j - 187. What is i(20)?
313
Let x(h) = -16*h + 435. Give x(22).
83
Let y(k) = -136*k - 3193. Determine y(-23).
-65
Let o(h) = -13*h**2 + 192*h + 51. Calculate o(15).
6
Let k(m) = m**3 - 15*m**2 + 15*m - 10. Give k(12).
-262
Let s(b) = 2*b**3 + 248*b**2 - 513*b - 1144. Calculate s(-126).
-10
Let h(r) = -328*r + 864. Give h(2).
208
Let f(d) = 4*d - 207. Calculate f(39).
-51
Let y(q) = 2*q**3 + 8*q**2 + 14*q - 15. Give y(-5).
-135
Let h(w) = -w**3 - 48*w**2 + 516*w + 122. What is h(-57)?
-49
Let m(u) = u**2 - 107*u + 2804. What is m(47)?
-16
Let p(k) = 39*k + 1598. Give p(-41).
-1
Let h(s) = -9*s - 399. Calculate h(-19).
-228
Let h(j) = -j**3 - 34*j**2 + 151*j - 24. Determine h(-38).
14
Let x(l) = 3*l**2 + 54*l - 16. What is x(-12)?
-232
Let o(x) = -28*x - 446. Give o(-16).
2
Let b(a) = -a**2 + 4*a + 249. What is b(19)?
-36
Let j(y) = -129*y + 4247. Calculate j(33).
-10
Let f(u) = 3*u**2 + 40*u + 245. Determine f(-9).
128
Let s(x) = -x**3 - 39*x**2 - 332*x - 288. Calculate s(-11).
-24
Let v(a) = -a**3 + 20*a**2 - 6*a + 159. Calculate v(20).
39
Let s(w) = 83*w + 852. Give s(-10).
22
Let t(c) = 188*c + 5370. Determine t(-29).
-82
Let p(w) = 8*w**2 - 141*w + 81. What is p(17)?
-4
Let h(t) = 21*t**2 - 13*t - 4. Give h(-2).
106
Let y(o) = -o**2 - 162*o + 35468. Determine y(124).
4
Let g(h) = -2*h**3 + 84*h**2 + 467*h + 150. Give g(47).
9
Let v(s) = 854*s + 4267. Calculate v(-5).
-3
Let s(g) = 4*g**2 - 31*g - 5. Give s(5).
-60
Let x(s) = 219*s - 9634. Give x(44).
2
Let n(z) = -6*z**2 + 45*z - 78. Calculate n(7).
-57
Let l(y) = -y**2 + 167*y + 122 | {
"pile_set_name": "DM Mathematics"
} |
f(y) = -7*y + 5. Let h(v) = 5*f(v) - 6*r(v). Let g be h(13). Let m(k) = 0 - 22*k**2 + 36*k**g + 0. Let t(c) = c**2. Give t(m(i)).
196*i**4
Let r(s) = 21*s**2. Let j(u) be the third derivative of 49*u**4/24 - 811*u**2. Determine r(j(p)).
50421*p**2
Let i(t) = 16*t. Let n(c) = -5667152*c. Determine n(i(q)).
-90674432*q
Let f(k) = -7*k. Let q(s) = -86*s**2 + 9*s + 130. Let z(p) = -42*p**2 + 4*p + 59. Let j(u) = -4*q(u) + 9*z(u). What is j(f(c))?
-1666*c**2 + 11
Let u(d) = 4*d. Let k(m) = 1951436*m. Calculate u(k(a)).
7805744*a
Let b(p) = -11*p - 5. Let t(l) be the third derivative of -1/30*l**5 + 0*l**4 + 52*l**2 + 0*l + 0 + 0*l**3. Calculate b(t(h)).
22*h**2 - 5
Suppose 0 = c - 0*c - 2, -b + 8 = -3*c. Let j(u) = -b*u**2 - 18*u**2 + 33*u**2. Let v(x) = -3*x + 8*x + 10*x - x. Calculate v(j(l)).
14*l**2
Let n(r) = 17*r**2 - 33*r. Let m(t) = 8*t**2 - 27 + 27 + 232*t + 18*t**2 - 279*t. Let b(j) = 5*m(j) - 7*n(j). Let l(h) = -3*h**2. Calculate b(l(p)).
99*p**4 + 12*p**2
Let a(c) = c**2. Let l(x) = -74806637*x. What is l(a(z))?
-74806637*z**2
Let o(u) be the second derivative of 17*u**3/6 - 15*u. Let r(a) = -4525*a + 4525*a - 2*a**2 - 5*a**2. What is o(r(n))?
-119*n**2
Let b(q) = 779*q. Let l(n) = 4*n - 2605. What is b(l(t))?
3116*t - 2029295
Let y(g) = -44*g + 12. Let k(d) be the second derivative of -89*d**3/6 + 13*d**2 + 7*d. Let l(c) = 6*k(c) - 13*y(c). Let s(t) = -4*t. Determine s(l(r)).
-152*r
Let c(g) = 159*g - 12021. Let v(f) = -23*f. What is v(c(p))?
-3657*p + 276483
Let a(h) = 3*h**2 - 138*h + 2. Let i(v) = 722*v**2. Give a(i(u)).
1563852*u**4 - 99636*u**2 + 2
Let l(p) be the first derivative of -2*p**3/3 - 4. Let k(f) = 56*f + 256. Let b(j) = 5*j + 24. Let q(d) = 32*b(d) - 3*k(d). Calculate q(l(t)).
16*t**2
Let t(y) be the third derivative of y**5/30 - 11*y**4/24 - 2*y**2. Let w(b) be the third derivative of b**4/24 - 11177*b**2. Calculate w(t(m)).
2*m**2 - 11*m
Let v(p) = 2*p + 9967. Let r(j) = -2*j + 4. Let g(h) = -2*h**2 - 32*h + 64. Let n(m) = g(m) - 16*r(m). Determine n(v(u)).
-8*u**2 - 79736*u - 198682178
Let a(v) = -11021892*v. Let t(g) = -g. Calculate t(a(f)).
11021892*f
Suppose -f - 2 + 9 = 0. Let s(w) = -f*w + 2*w - 2*w + w. Let l(q) = 48*q - 182. Let c(n) = -10*n + 39. Let g(a) = -14*c(a) - 3*l(a). Determine s(g(d)).
24*d
Let h(y) = -2876*y - 2 + 5 + 2875*y - 3. Let c(p) = -7828*p. Calculate h(c(v)).
7828*v
Let o = -32 + 41. Let y(s) = -5*s. Let q(b) = 22*b. Let i(t) = o*y(t) + 2*q(t). Let u(h) = -10*h**2 + h. Determine u(i(p)).
-10*p**2 - p
Let s(g) = 19523535*g**2. Let n(d) = 2*d**2. Determine n(s(m)).
762336837792450*m**4
Let t(o) = -17*o**2. Let w(x) = 4*x**2 - 5. Let z(i) = i**2 - 1. Suppose 0*k - 6*k = 24. Let y be 2*(5/k + 1)*2. Let h(m) = y*w(m) + 5*z(m). What is t(h(q))?
-17*q**4
Let m(b) = 13158692*b. Let n(c) = 3*c**2. Calculate n(m(l)).
519453525452592*l**2
Let k(u) = -42*u**2 + 96*u**2 - 74*u**2. Let n(q) = 36*q. Determine n(k(t)).
-720*t**2
Let w(s) = -27684*s. Let c(k) be the second derivative of k**3/6 + 7*k - 440. Give w(c(y)).
-27684*y
Let m(s) = 11*s**2. Let b be 4 - (8 + -6 + 2). Let j(a) = b - 3 + 3 - 11*a + 12*a. What is m(j(c))?
11*c**2
Let l(k) be the third derivative of 109*k**4/24 + 13*k**2 + 46*k. Let r(x) = -4*x**2. Determine l(r(p)).
-436*p**2
Let r(d) = 19*d + 1. Suppose 44*t = 1990 - 98. Let g(k) = k**2 - 18*k + t*k - 25*k. Give g(r(n)).
361*n**2 + 38*n + 1
Let i(b) = -12*b. Let m = -18 - -108. Let p be (-14)/4*m/(-63). Let s(u) = -6*u + 0*u + p*u + 3*u. Determine i(s(d)).
-24*d
Let f(s) = 100*s - 88. Let b(v) = -20*v + 16. Let j(a) = -22*b(a) - 4*f(a). Let t(h) = 30*h. Give j(t(w)).
1200*w
Let p be 20526/154 - 6/21. Let w(o) = 68 - 19 - 28 - 21 + p*o**2. Let m(v) = v**2. What is w(m(d))?
133*d**4
Let m be -1 + -1 - -27 - -2. Let b = m - 25. Let h(q) = -15*q**b + 2 + 16*q**2 - 2. Let r(k) = 16*k**2. Calculate r(h(l)).
16*l**4
Let q(g) = -13*g. Let b(m) = 2250281*m. Calculate q(b(r)).
-29253653*r
Let s(c) = -3*c + 25. Let d = -341 + 343. Let o(r) = -61 + r**d + 176 - 55 - 60. Give o(s(j)).
9*j**2 - 150*j + 625
Let r(b) = 22*b**2 + 7*b**2 - 9*b**2. Let w(a) = 35*a + 15*a + 14*a - 67*a. Determine r(w(d)).
180*d**2
Let z(n) = -41*n. Let g(a) = 132*a. Let u(p) = 5*g(p) + 16*z(p). Let h(f) = 21*f - 27*f - 76*f. Calculate u(h(o)).
-328*o
Let o(i) = 2*i**2 + 6*i. Let n(r) be the third derivative of 0*r + 0 - 84*r**2 + 1/20*r**5 + 0*r**3 + 0*r**4. Give n(o(a)).
12*a**4 + 72*a**3 + 108*a**2
Let q(x) = x. Let t(h) = h**2 + 23*h + 2. Let n be t(-23). Suppose 4*a - 110 = 5*i, n*a - 3*i = 3*a - 36. Let l(p) = a - 7*p - 30. Determine q(l(o)).
-7*o
Let w(y) = 59*y + 1. Let n(u) be the second derivative of -5*u**4/12 - u**3/3 + 2363*u - 1. What is n(w(v))?
-17405*v**2 - 708*v - 7
Let v(s) = 6*s**2. Let w(a) be the second derivative of 0*a**3 + 42*a - 7/6*a**4 + 0*a**2 + 0. Calculate v(w(q)).
1176*q**4
Suppose -20*o + 17 = -43. Let l(p) = 0*p**2 + 0 - 3 - p**2. Let y(f) = f**2 + 4. Let v(h) = o*y(h) + 4*l(h). Let r(t) = 34*t. What is v(r(n))?
-1156*n**2
Let s(d) = -3*d**2. Let x(q) = 5*q**3 + 31*q**2 + 4*q - 7. Let j be x(-6). Let p(r) = -14*r**2 + 16*r**2 + 55*r**2 + j*r**2. What is s(p(a))?
-11532*a**4
Let c(n) = -7*n**2 + 5666371*n - 5666371*n + 18*n**2. Let u(f) = 83*f**2. Calculate u(c(x)).
10043*x**4
Let h(x) = -2*x**2 - 46. Let q(s) be the third derivative of -s**4/24 + s**2 - 205*s + 3. What is q(h(v))?
2*v**2 + 46
Let h(w) = -w**2. Let l(r) be the third derivative of r**4/24 + 22*r**3/3 - 7*r**2 - 60. Give l(h(n)).
-n**2 + 44
Let k(u) = 16*u**2. Let q(c) = 21755*c**2 - 10699*c**2 - 10821*c**2. Calculate q(k(f)).
60160*f**4
Let o(d) = -143*d + 132. Let m(q) = 12 + 17 + 11 - 18*q - 36 + 12. Let y(z) = -33*m(z) + 4*o(z). Let b(c) = -3*c. Determine b(y(f)).
-66*f
Let g(o) = -26*o - 70. Let n(p) = -77*p - 196. Let a(z) = -14*g(z) + 5*n(z). Let t(y) = 21*y. Calculate a(t(k)).
-441*k
Let c(t) = t**2 - 4*t + 19796. Let z(g) = 17*g**2. Calculate c(z(u)).
289*u**4 - 68*u**2 + 19796
Let c(w) = 9079*w. Let a(o) = 1635*o - 3303*o + 1667*o. What is a(c(q))?
-9079*q
Suppose -3*h = 2*q - 7*h + 6, 4*q = 5*h. Let k(x) = 26*x**2 + q*x**2 - 32*x**2. Let f(m) = 3*m**2 + 3*m**2 + m**2. Give k(f(y)).
-49*y**4
Let t(u) = -5*u + 2415464. Let w(n) = n. Give w(t(l)).
-5*l + 2415464
Let b(d) = 332*d + 1. Let k(h) be the third derivative of 5*h**4/24 + 2*h**2 + 3*h + 271. Give k(b(i)).
1660*i + 5
Let z(f) = 291*f. Let x(g) = -107*g + 343*g - 116*g - 111*g. What is x(z(m))?
2619*m
Suppose 55*s = 54*s + 2. Let y(h) = -22 + 8 + 160*h**s - 163*h**2 + 14. Let z(r) = -24*r**2 + r. Determine y(z(o)).
-1728*o**4 + 144*o**3 - 3*o**2
Let i(j) = -6*j**2 - 17. Let y(u) = -u**2 + 9*u + 4. Calculate y(i(o)).
-36*o**4 - 258*o**2 - 438
Let t(a) = a**2. Suppose 202 = 2*p + 2*m + 44, p - 67 = -4*m. Let b(c) = 164*c - p*c - 87*c. What is t(b(g))?
36*g**2
Let n(o) = 13*o**2. Let d(j) = j**2 + j + 1. Let l(u) = 7*u**2 + 8*u + 8. Suppose 169 = -7*c + 1. Let q(a) = c*d(a) + 3*l(a). Give q(n(b)).
-507*b**4
Let n(f) = -7*f - 11. Let q = -188 + 177. Let v(u) = -u - 2. Let d(o) = q*v(o) + 2*n(o). Let x(k) = 6*k. What is d(x(p))?
-18*p
Let k = 4163 - 4158. Let a(w) be the third derivative of 0*w**4 + 0 + 0*w**3 + 11*w**2 - 17/60*w**k + 0*w. Let b(h) = -h. What is a(b(q))?
-17*q**2
Let y(x) = -x. Let p(d) be the third derivative of 149*d**4/6 + 982*d**2. Give p(y(t)).
-596*t
Let q(l) = 4*l + 15*l - 4*l - 2*l. Let k(b) be the second derivative of b**4/4 - 2*b + 6. Calculate k(q(a)).
507*a**2
Let g(m) = 25219*m**2. Let l(z) = -6*z**2. Give g(l(r)).
907884*r**4
Let c(t) = -t. Let d be 6 - 6 - ((-25 - -1) + 0). Let a = 28 - d. Let o(p) = 8 - 2*p + p - a*p + 2*p. Determine o(c(s)).
3*s + 8
Let q(x) = -265*x. Let s(a) = 79*a**2 + 76*a**2 + 85*a**2 - 234*a**2. Give s(q(g)).
421350*g**2
Let l(h) be the second derivative of 7*h**4/6 + 17*h. Suppose 3*m - 104 = -v, -3*m - 3*v - 32 = -134. Let p(n) = -m + 35 + 5*n**2. Give p(l(r)).
980*r**4
Let s(m) = -130*m - 2. Let o(y) = -852*y. What is o(s(c))?
110760*c + 1704
Let l(t) = t + 60. Let f(n) = 19*n - 4. Let p(i) = 988*i - 209. Let w(j) = -209*f(j) + 4*p(j). Calculate w(l(u)).
-19*u - 1140
Let v(a) = 11163*a. Let y(t) = -423*t**2. Calculate v(y(l)).
-4721949*l**2
Let y(a) = -62629*a**2. Let x(c) = -c - 141. Calculate x(y( | {
"pile_set_name": "DM Mathematics"
} |
der when u is divided by 14.
11
Let v be -1 + 3 - 1/(-1). Suppose i - 5 = -v*m, i + 3*i + 22 = 2*m. What is the remainder when (8/2)/(m/24) is divided by 11?
10
Suppose 0 = m - 0*m. Suppose -r + 7 + 6 = m. What is the remainder when 37 is divided by r?
11
Suppose -3*v + 2*o = -6*v + 101, -2*o = 10. Let h = 23 + -5. Let x = -5 + h. What is the remainder when v is divided by x?
11
Suppose -f = -b + 25, 2*f = b - 24 - 1. Calculate the remainder when 49 is divided by b.
24
Let t = -16 + 31. Calculate the remainder when 39 is divided by t.
9
Let k(o) = 3*o**3 - 28*o**2 + 8*o + 12. What is the remainder when 7 is divided by k(9)?
1
Let u = 9 + -16. Let i = 30 + u. What is the remainder when 44 is divided by i?
21
Let z = -1 + 4. Suppose 3*b + z*n = 108, -6*b - 2*n = -b - 174. Calculate the remainder when b is divided by 12.
10
Suppose -5*a - 28 = 3*s, 3*a + 10 = a. Let d(k) = 3*k**2 - 5*k**2 - 12*k**3 + k**2. What is the remainder when 31 is divided by d(s)?
9
Let w = 26 - 20. What is the remainder when 20 is divided by w?
2
Let g(u) = 4*u**2 + 10*u + 4 - 9*u - 2*u + u**2 + u**3. Let v = -11 - -6. What is the remainder when 17 is divided by g(v)?
8
Let i = -4 - -26. Let r be -4*i*(-2 - 0). Suppose -r = -3*n + 1. What is the remainder when n is divided by 20?
19
Suppose -s + 0*s = 0. Let a = s - -3. Let k = -19 - -26. What is the remainder when k is divided by a?
1
Calculate the remainder when 17 is divided by (-4)/(-22) - ((-476)/44 - -2).
8
Suppose 0*m + 2*m - 16 = 0. Let q(v) = v**3 + v**2 - 3*v - 2. Let z be q(-3). What is the remainder when m is divided by -3 + z/(-1) - 3?
3
Let b = 1 + 3. Calculate the remainder when (-62)/b*(4 + -6) is divided by 11.
9
Let x(z) = -2*z**2 - 6*z + 6. Let s be x(-5). Let p(q) = 4*q**2 - q - 4. What is the remainder when p(-3) is divided by s/35*(-45)/1?
17
Let r = -7 + 9. Let c be (-8)/(-3) - r/3. Suppose -3*s + 2*z = -55, -c*z - 2*z - 8 = 0. Calculate the remainder when s is divided by 6.
5
Suppose 5*n = v + 167, 2*n - 50 - 3 = 5*v. What is the remainder when n is divided by 13?
8
Let i = -11 - -7. Let s = i - -18. What is the remainder when s is divided by 8?
6
Suppose -5*d - 2*u = -20, 6*u - 8 = -2*d + u. Suppose -4*j + 20 = d*a, -3*j + 0 = a + 3. Calculate the remainder when 0 + (25 - (-2 - -2)) is divided by a.
7
Let s(b) = 3*b + 41. Calculate the remainder when s(-5) is divided by 15.
11
Suppose -b = 4*k + 12, 2 + 13 = -b - 5*k. What is the remainder when 3 is divided by (3 - 0) + b/(-3)?
0
Let x = -5 - -9. Let m(w) = 2*w**2 + 5*w + 2. Let l be m(x). Suppose c = -h + 14, 0*c = -5*c - h + l. What is the remainder when 28 is divided by c?
8
Let x = -28 - -47. Let a = 22 + -36. Calculate the remainder when (-2)/7 + (-508)/a is divided by x.
17
Let o be (-5)/(-4) + 2/(-8). Suppose -3*z + 4*z - o = 0. Suppose z - 13 = -2*j. What is the remainder when 15 is divided by j?
3
Let y = -4 + 9. Let s = -12 - -34. Suppose -63 = -y*m + s. What is the remainder when m is divided by 6?
5
Let i = -4 + 6. Let o be 1/(-2)*i*-5. Suppose -o*d + 3*d = -20. Calculate the remainder when 28 is divided by d.
8
Let a = -38 + 50. What is the remainder when 57 is divided by a?
9
Let m = -60 - -73. What is the remainder when m is divided by 5?
3
Suppose v + 77 = 4*a + 6*v, a + 4*v - 11 = 0. What is the remainder when a is divided by 3?
2
Let v = -4 + -14. Let r = v - -32. Calculate the remainder when r is divided by 8.
6
Let n(b) = 46*b**2 - 5*b + 5. Calculate the remainder when n(2) is divided by 36.
35
Suppose -2*j + t + 31 = 0, -5*j + 53 = -j + t. Suppose 80 = 3*k - k. What is the remainder when k is divided by j?
12
Let d be 3 + (-3 - -2) - 2. Let f(s) be the third derivative of s**4/24 + 47*s**3/6 + 2*s**2. Calculate the remainder when f(d) is divided by 16.
15
Let x = 5 - 0. Suppose 4 + 2 = 2*t + 3*v, 2*t = -x*v - 2. What is the remainder when t is divided by 5?
4
Let i(f) = -9*f + 3. Let s be i(2). Let l = 26 + s. Let v = 2 - -18. What is the remainder when v is divided by l?
9
Suppose 2*w - 7*w + 20 = 0. Let l = 82 + -48. What is the remainder when l is divided by w/(-10) + (-62)/(-5)?
10
Suppose u = 2*u - 4. What is the remainder when 5 is divided by u?
1
Suppose -2*x = x - 33. What is the remainder when 4/6 + ((-232)/(-6))/2 is divided by x?
9
Let r(x) = -2*x. Let v = -24 + 86. What is the remainder when v is divided by r(-8)?
14
Suppose -3*f - 21 = -2*v, -v + 0*f = -f - 9. Let a = -9 + v. What is the remainder when 31 is divided by 52/5 - a/5?
9
Let n be -1 - 4/(2 - -2). What is the remainder when n/(-14) - (-1448)/56 is divided by 7?
5
Let i(r) = -4*r + 1. Let k(q) = q**2 - 10*q - 1. Let h be k(10). What is the remainder when 7 is divided by i(h)?
2
Let r(n) = -7*n - 5. Let h be r(5). Let t = -11 - h. Calculate the remainder when t is divided by 10.
9
Let u(j) = 38*j**2 + 2*j - 1. Calculate the remainder when u(1) is divided by 8*(1 - (-4)/16).
9
Calculate the remainder when (11 + -1)/5 + 0 is divided by 1.
0
Let k(p) = p**2 + 5*p + 2. Suppose 2*f + 2 + 10 = 0. What is the remainder when k(f) is divided by 5?
3
Let x(q) = 6*q**2 - 7*q - 1. Calculate the remainder when x(-2) is divided by 10.
7
Calculate the remainder when 573/7 + (-2)/(-14) is divided by 21.
19
Let w(s) = 14*s - 38. Calculate the remainder when w(9) is divided by 18.
16
What is the remainder when (-1)/((12/174)/(-2)) is divided by 17?
12
Let l = 10 - -37. Suppose -2*a = 3*h - 58 - l, -3*h + 150 = 3*a. What is the remainder when a is divided by 24?
21
Let p = 266 - 178. Calculate the remainder when p is divided by 10.
8
Suppose -51 = 28*m - 29*m. Calculate the remainder when m is divided by 18.
15
Let w be 7 + -95 + 4/1. Calculate the remainder when (-1)/(-1 + w/(-87)) is divided by 16.
13
Suppose -6*j = 5*h - 3*j - 58, 4*h - 5*j - 39 = 0. Calculate the remainder when h is divided by 0*(-3)/(-12) + 3.
2
Let b(v) = -v**2 - 6*v - 6. Let p be b(-4). Let y be (5/(-2) + p)*0. Suppose 5*n - 355 = -y*n. What is the remainder when n is divided by 24?
23
Let r(q) = q + 5. Let c be r(0). Suppose 5*n - 145 = -5*p, 5*p + 133 = c*n + 4*p. Calculate the remainder when n is divided by 10.
7
Suppose 0*q - 5*q - 440 = 0. Let h = -59 - q. What is the remainder when h is divided by 10?
9
Let w(v) = -v**2 + 3*v + 2. Calculate the remainder when (192/24)/(2 - 0) is divided by w(3).
0
Calculate the remainder when 1/(-1*(-3)/21) is divided by 4.
3
Let q be 42/(-9)*3/(-2). Let s(m) = m**2 - 2*m + 0*m**2 + 6 + 2. What is the remainder when s(q) is divided by 15?
13
Let u(v) = -v - 7. Let p be u(-11). Suppose -3*k - x + 74 = 0, -p*k + k + 2*x = -59. Calculate the remainder when k is divided by 8.
7
Suppose 15 = c + 4*h - 2, -2*c - 5*h + 43 = 0. What is the remainder when c is divided by 11?
7
Suppose 0 = 2*c - 154 + 74. Calculate the remainder when 237 is divided by c.
37
Let t(c) be the second derivative of c**5/20 - 2*c**4/3 + 3*c**3/2 + 4*c. Calculate the remainder when 40 is divided by t(7).
12
Let h(q) = q**2 - 4*q + 3. Let a be h(3). Suppose -50 = -6*r + r. Suppose a = 5*n - 15 - r. What is the remainder when 8 is divided by n?
3
Calculate the remainder when (-2871)/(-44) + (-15)/12 is divided by 35.
29
Suppose -4*k + 4 + 20 = 0. Let z = -93 - -103. Calculate the remainder when z is divided by k.
4
Suppose -15 = -2*a + 15. Suppose a = -3*l, 4*t - 2*t - 5*l - 45 = 0. Calculate the remainder when 18 is divided by t.
8
Let u be 0 - (-2 + 12/2). Let g be ((-6)/u)/(1/6). Suppose 0 = 2*v - g - 41. Calculate the remainder when v is divided by 13.
12
Let h = 71 - 58. What is the remainder when (-8)/(2 + (-7)/3) is divided by h?
11
Suppose -7 = 3*y + 3*o - 31, 3*o + 46 = 4*y. Calculate the remainder when 87 is divided by y.
7
Suppose -2*a + 0 = -4. Let b(d) = -2*d**2 - 10*d - 5. What is the remainder when b(-4) is divided by a?
1
Let z be 16/3 + 2/(-6). Suppose 3*j + z*a - 86 = 69, 3*j - 4*a - 119 = 0. Suppose -j = -3*d + 15. Calculate the remainder when d is divided by 7.
6
Let k(p) be the third derivative of 5*p**4/24 - p**3/2 + 2*p**2. Calculate the remainder when 20 is divided by k(2).
6
Let r be (-51)/(((-30)/4)/5). Suppose 3*q = r - 4. Calculate the remainder when 29 is divided by q.
9
Let c be 4/10 + (-13)/(-5). Suppose -c*h - 2 = -11. Suppose -3*o + 4*o = 2. What is the rema | {
"pile_set_name": "DM Mathematics"
} |
v(-7). Let f be 3/((l/(-8))/(-1)). Sort f, 5, -0.11 in descending order.
5, f, -0.11
Let w(g) = g**3 - 16*g**2 + 4*g - 27. Let z be w(16). Put z, 1, -5 in decreasing order.
z, 1, -5
Let i be (-10 - -8)*(-6)/(-3). Let b(c) = -c + 7. Let g be b(6). Sort i, g, 4, 5.
i, g, 4, 5
Let w = 0.19 - -0.81. Let z = -1 - -4. Sort 0.5, z, 0, w in decreasing order.
z, w, 0.5, 0
Let z be -3*-2*(0 + 2/(-60)). Sort z, -6/97, 3 in descending order.
3, -6/97, z
Let m(i) = i**3 + 7*i**2 - 2*i + 16. Let l be m(-7). Let y = l + -28. Sort 0.4, y, 1, -2.
-2, 0.4, 1, y
Let f = 24.3 - 7.3. Let t = 4.3 - 21.3. Let a = f + t. Sort 3, a, 0.3.
a, 0.3, 3
Let x = 14 - -78. Let w = -88 + x. Put w, -43, 3/2 in increasing order.
-43, 3/2, w
Let j(f) = -2*f + 4. Let p be j(-4). Suppose d + p = 4*d. Suppose 2*r + s - 3 = -4, d*s = -r + 3. Put r, 0.1, -1/3 in ascending order.
r, -1/3, 0.1
Let x(c) = -c**2 + 4*c - 2. Let o be x(3). Let t = o + 0. Let y be 2*(-14)/4 - (-15 - 8 - -20). Put -5, y, t in descending order.
t, y, -5
Let x be ((-16)/(-2) - 2)/(0 + -2). Suppose b + 3*u = -b - 17, 3*b = -2*u - 18. Sort x, b, 4 in increasing order.
b, x, 4
Let b(a) = 3*a - 4. Let p(w) = w**2 + 4*w + 3. Let g be p(-4). Let c be b(g). Suppose -3*k = -y + 9 + 2, -c*y = -10. Sort k, 0, 5 in decreasing order.
5, 0, k
Suppose 0 = 99*l - 95*l - 16. Put -5, l, 304 in ascending order.
-5, l, 304
Let o be 132/9*(-1)/(-2)*1. Let g = o + -8. Sort g, 0.5, -3, -7 in decreasing order.
0.5, g, -3, -7
Suppose -2*h - 50 = 3*k + 2*k, -2*h + 46 = -3*k. Put -5, 0, 2, k in descending order.
2, 0, -5, k
Let i = 7305 - 7307. Suppose 2*d = -2*d. Sort d, 2, i in descending order.
2, d, i
Let u be 8/(-180)*(-2 + 14/(-2)). Sort -342, 5, u in increasing order.
-342, u, 5
Let y be ((-4)/(-6))/((-6)/9). Let d = 363 - 258. Let n = 100 - d. Sort y, n, 2.
n, y, 2
Let f = 0.06 - 1.06. Let z = 0.5 + -17.5. Let l = z + 12. Put l, 0, f in descending order.
0, f, l
Let c = -9.9 + -0.1. Let v = -11 - c. Sort -0.03, -0.5, v in decreasing order.
-0.03, -0.5, v
Let w = -2 - -1.6. Let o = 2/383 + -1157/1532. Put 2/7, w, o, -2/7 in decreasing order.
2/7, -2/7, w, o
Let k be -3 + (6/(-39) - 402/(-78)). Sort 4, -18, 0, k in ascending order.
-18, 0, k, 4
Let i = 44 + -40. Put i, 0.5, -2/5, -1/10 in descending order.
i, 0.5, -1/10, -2/5
Let r = 824.4 - 830. Sort 2, -1/3, -2, r in descending order.
2, -1/3, -2, r
Suppose -6 = -5*t + i + i, 3*i - 2 = 2*t. Suppose v + 4*r - t = 18, 5*v + 3*r = 15. Suppose 5 = -g + z, 3*g + z - 2 + 5 = 0. Sort g, v, -1.
g, -1, v
Suppose -5*h = o - 5, -10 = -5*h - 0*h. Let l(q) = -q - 4. Let s be l(-9). Suppose -5*f + d - 25 = 0, 21 = -s*f + 5*d - 24. Sort o, -2, f.
o, f, -2
Suppose 0 = 2*c - 3 - 3, 4*j - 15 = -c. Suppose -j*a - 2 = -a. Let g be a/2*(-216)/18. Put 2, g, -2 in increasing order.
-2, 2, g
Suppose 5*w + o = 6, 0*w + 2*o - 1 = w. Let m be 1 - ((w - 4) + 3). Suppose -6*n = -2*n. Sort n, 4, m in ascending order.
n, m, 4
Let t = -2/27 + 64/135. Let c be (2 - (-58)/(-44)) + 6/(-33). Let g = -29/34 + 6/17. Sort t, g, c.
g, t, c
Let t be (8 - 4 - 4)/2. Sort 4, t, -27 in descending order.
4, t, -27
Let w be 6/(-20)*(12/(-3) - -2). Let y = -13/20 - w. Sort 1/3, y, 0, 0.4 in descending order.
0.4, 1/3, 0, y
Let c = 295 - 300. Put 11, 4, c in ascending order.
c, 4, 11
Let u = 0.3745 + 0.0255. Sort u, -3/2, -0.4, -11.7.
-11.7, -3/2, -0.4, u
Suppose -3*f + 2 = -10. Suppose 13*j = 11*j, 3*j = 4*r + 8. Put -6, 1, r, f in increasing order.
-6, r, 1, f
Let n = -59 + 58.6. Let r = -1 + 0.5. Sort n, r, 2/3 in decreasing order.
2/3, n, r
Suppose 4*o = 12, i + 2*o = -i. Let k(v) = -7*v + 13 - 23 - 2*v**2 + v**2 - 4*v. Let u be k(-11). Sort -4, i, u in ascending order.
u, -4, i
Let h = -0.97 + 0.87. Sort 1/8, -6, -2, h in increasing order.
-6, -2, h, 1/8
Let s = -0.19 - -0.69. Let v = 0.6 - s. Let w = 6.8 - 1.8. Put -1/3, w, v in ascending order.
-1/3, v, w
Let p be (-15)/3 + ((-468)/28)/(-3). Sort -0.4, 8, p in descending order.
8, p, -0.4
Let s = -3 - -3.5. Suppose 0 = -14*m + 134*m + 254 + 346. Sort 5, s, m, 6 in descending order.
6, 5, s, m
Let b be (-21)/(-12) - (-297)/(-44). Sort 4, 68, b, 5.
b, 4, 5, 68
Let k = -27 + 26. Let d = 12 + -7. Suppose -d*l + v + 6 = 0, 7*v + 10 = 5*l + 2*v. Put -5, k, l in increasing order.
-5, k, l
Suppose -9*o + 70 = -44*o. Put -0.3, o, 0.4, 6/11 in descending order.
6/11, 0.4, -0.3, o
Let x = -0.0402 + 0.0402. Put -273, x, -1/3, 2/5 in decreasing order.
2/5, x, -1/3, -273
Let x = 16.93 - 17. Let m = 0.2 - 0.2. Sort -6, m, x in ascending order.
-6, x, m
Suppose 12*g - 140 = -3*n + 14*g, -n - 2*g = -36. Let b = -44 + n. Let d be (-3 + 2)/1 - 5. Put b, 2, d in decreasing order.
2, b, d
Let f = -24 + 76. Let k = f + -53. Let p be -3 - (0 - -1)*-1. Sort 5, k, p in decreasing order.
5, k, p
Let j(p) = -p**3 + 4*p**2 + 4*p - 14. Let g be j(2). Suppose -q + 0*o = -2*o - 5, -3*q - 25 = 2*o. Sort g, 0, q in descending order.
g, 0, q
Let d = 49 + -25. Let f = d - 23.9. Put f, -0.2, -2/15 in ascending order.
-0.2, -2/15, f
Let q be ((-1)/(-2))/(16/(-480)) + -4. Let f = 18 + q. Let b(a) = -a**2 - 2*a - 1. Let i be b(-1). Put f, i, 2 in increasing order.
f, i, 2
Let a = -117.5 + 118. Sort a, -0.05, 0.01.
-0.05, 0.01, a
Suppose 0*s = s - 2. Let l be (-105)/(-72) + -4 + 40/15. Sort s, 1/7, l in increasing order.
l, 1/7, s
Let w = -1.191 + 0.191. Put 1/4, w, 0.07, 16 in decreasing order.
16, 1/4, 0.07, w
Let a(u) = -u**2 + 6*u - 7. Let l be a(5). Let b be (-7)/((-21)/6)*-2. Let g = -92 - -94. Put l, b, g in ascending order.
b, l, g
Suppose 0 = -9*m + 24*m - 90. Put -5, 2, m in decreasing order.
m, 2, -5
Let b(m) = m**2 - 2*m. Let x be b(4). Let f be (2/5)/(x/280). Let g = f - 10. Sort g, 0, 3 in decreasing order.
g, 3, 0
Let o be (-2 - -7)*((-36)/30)/(-2). Put o, -3, 2, 0 in descending order.
o, 2, 0, -3
Let z = 2 - 4. Suppose 19*j = 5*o + 25*j - 33, 2*j = 4*o - 6. Sort o, 2, z.
z, 2, o
Suppose -4 - 6 = 5*a + 5*c, 5*a + 30 = 5*c. Let j = -3 + 6. Let g = 6 - j. Put a, g, 5 in decreasing order.
5, g, a
Let u be (1 - 2)/(12/(-60)). Suppose -2*g - 3*b = -5 - 2, -2*b + 8 = 3*g. Let c(k) = -k**2 - 9*k - 5. Let v be c(-8). Put u, g, v in increasing order.
g, v, u
Let f be (5 + (-20)/8)*-2. Sort -0.3, f, -14 in ascending order.
-14, f, -0.3
Suppose 0 = -m - 5 + 7. Let k be (m/(-4))/(-2 - 244/(-120)). Put k, -4, -2 in decreasing order.
-2, -4, k
Let j(a) = -a**3 + a**2 - a + 1. Let z be j(2). Let p(t) = t**3 - 6*t - 8. Let h be p(-2). Sort h, z, -14 in ascending order.
-14, z, h
Suppose -4 = n + t, 5*n = 2*n + 2*t + 3. Let p = n + 3. Suppose -4*w = -2*c + 4*c - 4, -p*w = -6. Put 2, c, 0.2 in decreasing order.
2, 0.2, c
Let x(c) = c**3 + 7*c**2 + 5. Let w be x(-7). Suppose 2*q = -0*q + l + 2, 4 = q - 2*l. Let k be q - ((-1)/(-1) - 0). Sort -3, k, w in descending order.
w, k, -3
Let j be 8/6*(-57)/(-38). Suppose -j*q = -11*q - 18. Sort 31, q, 0 in ascending order.
q, 0, 31
Let p(j) = -3*j**2 - 87*j + 89. Let b be p(-30). Sort 0, -0.7, 2, b in increasing order.
b, -0.7, 0, 2
Suppose 0 = 4*j + 8*j + 1104. Let p = j - -90. Put 5, -1, p in descending order.
5, -1, p
Let d(z) = -4*z**3 + z**2 - z. Let p be d(1). Let o be p - (3 + -4 + -2). Put o, 0, 3 in descending order.
3, 0, o
Let c be (-6)/(-27)*6 + (-132)/45. Sort -0.4, c, 2/3 in decreasing order.
2/3, -0.4, c
Let q(x) = x**2 - 9*x + 6. Let j be q(8). Suppose -3*a - l = -2 - 102, -a + 3*l + 48 = 0. Let w = 36 - a. Sort w, j, 5 in decreasing order.
5, w, j
Suppose v = -0*v - 2*g - 6, 4*v - 4*g = 0. Suppose -b + 0*l + 14 = 4*l, 18 = -5*b + 2*l. Let q be b/10 - (-308)/165. Put 0.03, q, v in descending order.
q, 0.03, v
Let l = 73.9 - 0.9. Let w = -72.8 + l. Let v = 1.1 - 0.8. Sort v, w, -1/2 in decreasing order.
v, w, -1/2
Let o be -6*(262/66 - 4). Let n = -16.3 + 16. Put 3/2, n, o in descending order.
3/2, o, n
Let c = 5 - 4.6. Suppose 765*q - 774*q + 153 = 0. Put c, 4, q in decreasing order.
q, 4, c
Let j = -31 - -34. Put 5, j, 2 in decreasing order.
5, j, 2
Let l = -0.01 + 0.02. Let g = l + -0.11. Let p = -2.17 - -0.17. Sort p, g, 3 in ascending order.
p, g, 3
Let w be ((-8)/4 + 7)*-1. Sort -2/23, 4, w, 2 in descending order.
4, 2, -2/23, w
Let a = 0.4 + -0.1. Let z be 11183/(-1055) + (-24)/10. Sort 1/5, z, a in decreasing order.
a, 1/5, z
Let p(v) = 15*v + | {
"pile_set_name": "DM Mathematics"
} |
1/5 of a day?
17280
How many micrograms are there in 9342.07kg?
9342070000000
How many nanograms are there in 38.00047 micrograms?
38000.47
How many nanometers are there in 5/8 of a micrometer?
625
How many nanograms are there in 1/10 of a microgram?
100
Convert 0.4582995 micrograms to kilograms.
0.0000000004582995
How many litres are there in 46849.43ml?
46.84943
How many hours are there in 4/3 of a week?
224
What is 0.1140151 micrograms in kilograms?
0.0000000001140151
How many months are there in 99886.18 centuries?
119863416
Convert 5698.302cm to micrometers.
56983020
How many centimeters are there in 77/5 of a meter?
1540
How many micrograms are there in 47/4 of a milligram?
11750
What is 3/5 of a meter in millimeters?
600
How many centuries are there in twenty-one fifths of a millennium?
42
How many seconds are there in 99.98003 hours?
359928.108
What is 313578.7 centimeters in micrometers?
3135787000
How many centimeters are there in seventeen halves of a meter?
850
How many hours are there in 6422.47 weeks?
1078974.96
Convert 871997.8 micrograms to nanograms.
871997800
How many minutes are there in seven thirds of a day?
3360
How many microseconds are there in sixty-four fifths of a millisecond?
12800
Convert 453.9355 nanograms to tonnes.
0.0000000000004539355
How many milliseconds are there in 13/8 of a second?
1625
How many decades are there in fifty-four fifths of a millennium?
1080
How many micrometers are there in 439890.9cm?
4398909000
How many millimeters are there in five quarters of a meter?
1250
What is 9.51669m in kilometers?
0.00951669
What is 16/9 of a hour in seconds?
6400
What is 55/4 of a gram in milligrams?
13750
How many months are there in thirteen eighths of a millennium?
19500
How many centimeters are there in 1/4 of a meter?
25
How many millimeters are there in eleven halves of a centimeter?
55
How many nanometers are there in one quarter of a micrometer?
250
How many years are there in 1/10 of a century?
10
What is 0.0240094 micrometers in meters?
0.0000000240094
How many microseconds are there in 52.85113s?
52851130
What is twenty-one quarters of a centimeter in micrometers?
52500
How many kilograms are there in 0.4214669mg?
0.0000004214669
What is 3/10 of a second in milliseconds?
300
What is 1/16 of a centimeter in micrometers?
625
How many millilitres are there in eleven eighths of a litre?
1375
Convert 2.95773cm to nanometers.
29577300
How many grams are there in 325.2212ng?
0.0000003252212
What is 2591.036km in nanometers?
2591036000000000
How many micrometers are there in 52.37909km?
52379090000
How many weeks are there in 5333.50629ms?
0.000008818628125
What is 33525.01 litres in millilitres?
33525010
How many seconds are there in 609211.1 hours?
2193159960
How many grams are there in seven quarters of a kilogram?
1750
What is 0.8735097ns in minutes?
0.000000000014558495
How many years are there in 13/4 of a century?
325
What is one sixteenth of a tonne in grams?
62500
What is 37.09791 kilometers in micrometers?
37097910000
What is 33.55255 meters in kilometers?
0.03355255
What is 3/32 of a day in minutes?
135
What is 2.658689 tonnes in micrograms?
2658689000000
What is three eighths of a litre in millilitres?
375
How many millimeters are there in 756.1892 kilometers?
756189200
How many nanometers are there in twenty-five halves of a micrometer?
12500
What is 0.328564 millilitres in litres?
0.000328564
How many micrometers are there in 13/5 of a millimeter?
2600
How many seconds are there in 5/4 of a hour?
4500
What is two fifteenths of a decade in months?
16
Convert 78156.66ug to kilograms.
0.00007815666
What is 7/4 of a meter in millimeters?
1750
What is 127.47459 months in centuries?
0.106228825
What is twenty-seven quarters of a week in minutes?
68040
Convert 4876.94ml to litres.
4.87694
What is 37/2 of a second in milliseconds?
18500
How many micrometers are there in 5/4 of a millimeter?
1250
What is 0.7684399 centuries in months?
922.12788
How many centimeters are there in 6/25 of a meter?
24
What is 3/5 of a century in years?
60
Convert 22868.57 decades to years.
228685.7
How many millilitres are there in 13/8 of a litre?
1625
Convert 54993.47 millilitres to litres.
54.99347
How many years are there in 2884443.3 months?
240370.275
What is 3/10 of a litre in millilitres?
300
How many millilitres are there in 8368.838l?
8368838
How many grams are there in 20953.65ug?
0.02095365
What is eleven halves of a meter in centimeters?
550
What is 6/5 of a micrometer in nanometers?
1200
Convert 69.0085 weeks to microseconds.
41736340800000
How many centimeters are there in 3/25 of a meter?
12
How many microseconds are there in 608.3094 days?
52557932160000
How many grams are there in fifty-five halves of a kilogram?
27500
Convert 184.481m to centimeters.
18448.1
How many centuries are there in 83.39086 millennia?
833.9086
How many years are there in twenty-six fifths of a decade?
52
How many micrograms are there in 1/10 of a gram?
100000
What is 78.95327 micrograms in nanograms?
78953.27
Convert 381.8204 millilitres to litres.
0.3818204
What is 17/6 of a minute in seconds?
170
What is thirty-two fifths of a litre in millilitres?
6400
How many millilitres are there in 5573.224l?
5573224
What is 31/2 of a litre in millilitres?
15500
What is 32/5 of a micrometer in nanometers?
6400
Convert 41.3822 decades to months.
4965.864
What is thirteen fifths of a century in months?
3120
Convert 3.320375km to micrometers.
3320375000
How many nanometers are there in 2560.98 micrometers?
2560980
How many millilitres are there in 5/4 of a litre?
1250
How many meters are there in 9.745131cm?
0.09745131
How many seconds are there in 69/2 of a minute?
2070
Convert 249.1446us to minutes.
0.00000415241
Convert 47458.13km to nanometers.
47458130000000000
How many micrograms are there in 3/50 of a milligram?
60
What is 98338.2 millilitres in litres?
98.3382
How many seconds are there in 20/9 of a hour?
8000
What is twenty-one halves of a micrometer in nanometers?
10500
How many decades are there in 27/4 of a millennium?
675
What is thirty-four fifths of a litre in millilitres?
6800
How many micrograms are there in thirty-seven halves of a milligram?
18500
What is twenty-seven halves of a micrometer in nanometers?
13500
What is eleven halves of a litre in millilitres?
5500
How many minutes are there in 21/5 of a week?
42336
Convert 1937.772 months to centuries.
1.61481
How many millilitres are there in one twentieth of a litre?
50
What is 30214.41 kilometers in nanometers?
30214410000000000
How many litres are there in 8.12052 millilitres?
0.00812052
How many nanoseconds are there in 42.53906us?
42539.06
How many months are there in twenty-nine thirds of a year?
116
What is 39232.26ns in milliseconds?
0.03923226
What is 73.94108 millennia in years?
73941.08
What is 6.852403 millimeters in centimeters?
0.6852403
Convert 182537.4 millennia to months.
2190448800
How many minutes are there in 617109.3 weeks?
6220461744
What is 1/4 of a kilogram in grams?
250
Convert 1820.124 years to millennia.
1.820124
How many meters are there in 9224.025km?
9224025
Convert 0.753051 millennia to centuries.
7.53051
How many micrograms are there in 31/2 of a milligram?
15500
What is six fifths of a tonne in kilograms?
1200
How many meters are there in 1.294297km?
1294.297
How many millimeters are there in 52922.65cm?
529226.5
What is 28620.22 seconds in nanoseconds?
28620220000000
How many months are there in 1/4 of a decade?
30
How many millilitres are there in five eighths of a litre?
625
How many months are there in 7.003346 centuries?
8404.0152
Convert 685.543us to milliseconds.
0.685543
Convert 55.05 weeks to milliseconds.
33294240000
How many millilitres are there in twenty-five halves of a litre?
12500
How many years are there in 920816.5 centuries?
92081650
How many milligrams are there in fifty-one halves of a gram?
25500
What is 31/2 of a century in months?
18600
Convert 9.295961mg to micrograms.
9295.961
How many nanometers are there in 6/5 of a micrometer?
1200
How many nanometers are there in 3/50 of a millimeter?
60000
What is 3/8 of a hour in seconds?
1350
What is 1/4 of a litre in millilitres?
250
What is 59/4 of a millennium in decad | {
"pile_set_name": "DM Mathematics"
} |
= 0.05 - 2.05. Suppose -3*q + 6*q = -12. Which is the nearest to w? (a) 4 (b) -1/5 (c) q
b
Let p = 2 - -1. Let j be 1 + -1 + 1/8*6. What is the nearest to j in p, 4, -2?
p
Suppose -3*l - 2*l + 2*q = -14, -12 = -3*l + 3*q. What is the closest to -1 in -1, 2/5, l?
-1
Let m = 0.65 - 0.35. Which is the nearest to -2? (a) m (b) -0.5 (c) -3/7
b
Let x = 0.1 + -0.2. Let t = -7.7 - -10.7. Which is the nearest to x? (a) -3 (b) t (c) 6
a
Let p be (120/14)/((-8)/(-32)). Let m = 34 - p. Let l = 1 - 1. What is the closest to m in -5, l, 0.3?
l
Let j = 0.01 - 3.01. Let n = j - -3.1. Let v = 310 + -4652/15. What is the nearest to n in v, 2/13, 1/9?
1/9
Let q = -3 + 2.9. Let m = -0.84 + -0.16. What is the closest to q in 0, -3, m?
0
Let f be (3 - 0) + (-16)/5. What is the nearest to 2/9 in -4, -1, f?
f
Let g = 23 + -20. Which is the closest to g? (a) -5 (b) -1/2 (c) -4
b
Let j be ((-3)/3)/((-15)/6). Let g = 4.107 - 0.107. What is the nearest to -0.1 in 2/9, g, j?
2/9
Let i = -1 + 2. Let r = i - 1.1. Let u = 167/42 - 23/6. Which is the nearest to r? (a) -1 (b) 2 (c) u
c
Let p = -12 - -10.9. Let w = -0.7 - p. Let m = 2 - 1.8. Which is the closest to -1/2? (a) w (b) m (c) 4
b
Let u = -0.75 + -2.25. Let d = -0.1 + 0.3. Let l = d - 0.1. What is the closest to l in -2, 0, u?
0
Let s be (2/6)/((-4)/(-6)). Let g = 0.2 + -0.3. Let i = 924 + -928. Which is the nearest to g? (a) 0.3 (b) s (c) i
a
Let n = -36237/20 - -7821/4. Let h be 427/3 + (-2)/(-3). Let b = h - n. What is the closest to -0.1 in b, 2/9, 3/5?
b
Let k = 3 + -6. Let q be (3 + -1)*21/(-357). What is the closest to 1 in q, k, 3?
q
Let d = 1.6 + 1.4. Let a = d - 2.9. What is the closest to -4/7 in -0.5, 2, a?
-0.5
Suppose -3*d = 4*j - 3, j + d + 4 = 5*d. Which is the closest to j? (a) -0.5 (b) -1/4 (c) 4
b
Let v = -2.8 + 1.7. Let t = -1 - v. Let u = -7/2 + 10/3. Which is the nearest to t? (a) -5 (b) u (c) -0.4
b
Let v = -13/2 - -6. What is the closest to 1 in 0.1, v, 2/13?
2/13
Let v = 39 - 35. Which is the nearest to 1? (a) v (b) 4/5 (c) 5
b
Let m = 1 - 0. Suppose -65 + 80 = 3*d. Which is the closest to m? (a) d (b) 0.1 (c) -1/3
b
Let d = 1/13 + 9/52. Which is the closest to -1? (a) 5 (b) -0.1 (c) d
b
Let g = 0.003 - 1.103. What is the nearest to 0.1 in 1, g, -5?
1
Let v = 2.2 - 2.2. What is the closest to -1 in v, 2, 3?
v
Let a = 246.06 - 251. Let v = a - 0.06. Let i = -6 - -6.4. What is the closest to -1 in -4/5, i, v?
-4/5
Let y be ((-36)/(-15) + -2)*60. Let q be y/(-18) - 1/(-3). Which is the nearest to 0.1? (a) 0 (b) 0.5 (c) q
a
Let o = 95/143 + -11/13. Which is the nearest to -2? (a) 0.2 (b) 2 (c) o
c
Let w = -0.65 - -0.95. Which is the nearest to 2/7? (a) 0.1 (b) w (c) -0.3
b
Let h = 2/149 - -880/1043. Let n = 4.26 - 4. Let s = n + -0.06. What is the nearest to 0 in s, -1, h?
s
Let j = -9 + 9.5. Let n = -7 + 8. What is the closest to n in j, -5, -0.5?
j
Let f = 221/1155 + 2/231. Which is the nearest to -3/4? (a) f (b) -3 (c) 5
a
Let g = 0.55 - 0.05. Let f = g - 2.5. Which is the nearest to 0.1? (a) -0.5 (b) f (c) -1/4
c
Let g = -35 + 34.77. Let k = 0.17 - g. Which is the nearest to 0.1? (a) -3 (b) k (c) 0.5
b
Let v = -6 - -13. Let o = 5 - v. Let j = 0 + -1. What is the nearest to -1 in j, -0.1, o?
j
Let f be (-6)/6*(0 + -10). Let s be (-15)/f + (2 - 1). Which is the closest to s? (a) 5 (b) 4 (c) -0.1
c
Let d be 11/((-44)/24) - -1. What is the closest to -2/9 in -2, 5, d?
-2
Let j(l) be the second derivative of l**4/12 - 5*l**3/6 - 5*l**2/2 + 3*l. Let n be j(6). What is the nearest to n in -0.2, -4/7, 2/3?
2/3
Let r = 11 + -10.9. Which is the nearest to r? (a) -1 (b) 3 (c) -1/5
c
Let a be (-2)/(1/((-1)/(-7))). Let m(z) = 3*z + 6. Let u be m(-3). What is the closest to -1/3 in -0.2, a, u?
a
Let o = -4.09 + 0.09. Let n be 0 - 2/((-28)/(-1026)). Let w = n - -73. Which is the closest to -0.2? (a) 2 (b) o (c) w
c
Let c = 32 + -32. What is the nearest to c in -3/5, -5, -3?
-3/5
Let h be 25/(275/(-66)) + (-15)/(-2). Let j = 1 + -1. What is the closest to 1 in -1, j, h?
h
Let r = 0.08 + -0.38. Let k be 2/7 - (-39)/(-63). Which is the nearest to r? (a) -2 (b) k (c) 2
b
Let n be 2 - 6/4*-2. Let k = 0.3 - 0.3. Let g = -1.759 - 0.241. Which is the nearest to k? (a) g (b) 1/3 (c) n
b
Let m(f) = 5*f**3 - f**2 - 3*f - 1. Let w be m(-1). Which is the nearest to 1/3? (a) 1 (b) 0.5 (c) w
b
Let w = -1.05 + 0.05. Let l = -6 - -6. Let g = -0.2 - l. What is the closest to w in g, -0.1, 2/5?
g
Let l = 5.4 + -3.4. Which is the nearest to 10? (a) -3/4 (b) 5 (c) l
b
Let b(l) = -14*l - 69. Let f be b(-5). What is the nearest to f in -1/17, -1, -5?
-1/17
Let n = 15/4 - 47/12. Suppose 3*m = 2*m + 4*s - 2, -2*s + 10 = -5*m. What is the closest to m in -2, n, -0.3?
-2
Let o = -24 - -23.8. Let a be (4/25)/((-2)/5). What is the nearest to o in -0.5, 2, a?
a
Let a = 4 - 3.5. Let t = -0.1 + 0.1. Let m = t - a. What is the closest to -0.1 in m, 1/4, 3?
1/4
Let v be 6*1/8*-2. Suppose -3*f - 4*l + 19 = 0, -6*l + 14 = 2*f - 2*l. Which is the closest to v? (a) 0.1 (b) f (c) -1
c
Let g = 1/34 + -9/17. Let n = 0.22 + 0.08. Suppose 2*u = -z - 1, 2*z + 0 = -u - 8. Which is the closest to g? (a) -0.2 (b) n (c) z
a
Let o = -0.27 + 0.17. Which is the closest to -1? (a) o (b) 1/2 (c) 5
a
Suppose -3*f = 4*r - 24, -3*r - 2*f = -6*r + 1. Suppose 2 = 5*u - 3. Which is the nearest to u? (a) -2 (b) r (c) 1
c
Let x = -1229/5 + 245. Suppose -t - 48 = 2*l, -4*l - 3*t + 0*t - 100 = 0. Let r be (-1 - -2)*(-4)/l. What is the closest to -1 in r, -0.1, x?
x
Let y = 0.039 - 1.039. What is the closest to y in -5/4, -0.3, 0.4?
-5/4
Suppose -2*g = j + g - 7, -4*g = 5*j - 13. What is the nearest to 2/5 in 2, 0.5, j?
0.5
Let p = -1 - -2. Let d be -1 + 1 + 8/60. Let w = d + 7/15. Which is the closest to p? (a) w (b) 1 (c) 0.5
b
Suppose 4*r = 3*l - 19, 0 = -3*r - 2 - 10. Let i be (3/(-42))/(l/(-4)). Which is the nearest to -2? (a) i (b) -2/3 (c) 1
b
Let z = -1.1 - -2.1. What is the closest to -0.1 in 0, z, -1/3?
0
Let s be -7 - (-2)/(-4)*-2. Let g be (-4)/(-10)*s - -2. Let n = 3.04 - 0.04. Which is the closest to -1? (a) g (b) 4/3 (c) n
a
Let k = 0.1 - 0.1. Let w = 0.09 + 6.91. Let x = w - 6.7. What is the nearest to 1/4 in x, -2, k?
x
Suppose 4*d + 3 - 7 = 0. Let s = d - -1. Let g be (s + -4 + 1)*-1. Which is the nearest to g? (a) -0.4 (b) -1/8 (c) 1
c
Let t be (-2)/3 - 10/15*-1. Which is the nearest to -4/9? (a) 1 (b) t (c) 0.2
b
Let o = -4 - -2. Let f = 0.36 + 1.54. Let r = o + f. What is the nearest to r in 0.2, 3, 2?
0.2
Let n = -0.07 + -0.13. Let z = -34 + 45.3. Let p = -11 + z. What is the nearest to n in p, -3, 3?
p
Let v = -1.3 - -3.9. Let a = v + 0.4. Let y = -2 + a. What is the nearest to y in -4/3, 2/9, 4?
2/9
Suppose 14*w + 2 - 2 = 0. Let u = 4 + -1.5. Let n = 0.5 - u. Which is the closest to w? (a) n (b) 0.5 (c) -1/4
c
Let w(n) be the second derivative of -n**3/3 + n**2 + 5*n. Let r be w(-2). Which is the nearest to r? (a) 5 (b) 2 (c) 0.4
a
Let x be -10 + 7 - (-10)/3. Let v = 5.2 - 1.2. Let s = 6 + -3. Which is the closest to x? (a) 0.3 (b) s (c) v
a
Suppose -3*b + 5*b = 0. Let h = 0.04 - -5.96. Let t = h - 1. What is the closest to b in 0.3, 0, t?
0
Let w = -1.95 - 0.05. Let a = -2/225 - 6521/450. Let i = a + 14. What is the closest to -0.2 in i, w, 2?
i
Let g = -28 + 27.9. What is the nearest to 0.1 in 4/5, g, 4?
g
Suppose -18 = 2*v + 4*j, -5*j - 31 = -2*v - 4. Let m = -13 - -11. Let z = 5 - 3. Which is the closest to 1? (a) v (b) z (c) m
a
Let a = 28 + -27. What is the nearest to a in 5, 2, -0.2?
2
Let q(s) = s**2 - 5*s - 3. Let z be q(5). What is the nearest to z in 4, -3, -0.3?
-3
Let w = -0.98 + 1.38. Which is the nearest to -2? (a) 0.3 (b) 0.6 (c) w
a
Let v = 0.01 - 0.11. What is the nearest to v in 1/6, 2/7, 4?
1/6
Let x(j) = -j - 4. Let y be x(-7). Suppose 0 = -5*o - 4*b + 8 + 7, 0 = y*o - b - 9. Suppose -o + 4 = -d. What is the nearest to d in -1/4, 4, -0.1?
-1/4
Let w = -1 + 0.9. Let p = 0.3 + 0.7. What is the closest to w in p, 0.3, -1/4?
-1/4
Let r = -0.3 + 1.3. Let x = -3 - -2.7. Let t = -1.998 - 0.002. Which is the closest to r? (a) 0.4 (b) x (c) t
a
Suppose 0*g = -3*g - 9. Let p be 3 - g/9*0. What is the closest to - | {
"pile_set_name": "DM Mathematics"
} |
?
11
Let r = 71 + -42. Let o(z) = z**3 + z + 10. What is the remainder when r is divided by o(0)?
9
Let n(v) = -4*v. Let a be (4/6)/((-5)/15). Calculate the remainder when n(a) is divided by 5.
3
Let m = 67 + -21. Suppose -2*h = -3*h + m. What is the remainder when h is divided by 16?
14
Let g(r) = r**3 + 7*r**2 + 4*r - 10. Calculate the remainder when 2*7*(-1)/(-2) is divided by g(-6).
1
Let m = 16 + -12. Suppose 0 = -4*q - 20, -q + 28 = p - m*q. Calculate the remainder when p is divided by 7.
6
Let p(a) = a + 2. Let m be (-6)/(4/(-2)) + 2. Suppose -1 = -2*x + 5. Calculate the remainder when p(m) is divided by x.
1
Suppose 4*b + 420 = 4*f - 0*b, -5*f = 5*b - 545. Suppose -2*k = -5*w + f, -5*w - 2*k = -96 - 27. What is the remainder when w is divided by (-1)/(-2)*(-1 + 17)?
7
Let z(s) = -4 + 0*s + 2*s + 8. Let g be (-4)/36*3*-9. Calculate the remainder when z(g) is divided by 6.
4
Let p be 4 + (-5 + -1)/3. Suppose 5*v - 69 = p*c, 2*v - 13 = -3*c + 7. Suppose 3*m = -k + 31, 0 = -3*k - 2 - v. What is the remainder when 23 is divided by m?
11
Suppose p - 95 = -5*t, 0 = t - 2*p - 18 - 1. Let w = 15 + -7. Suppose -w*j = -4*j - 224. What is the remainder when j is divided by t?
18
Let p = -30 + 27. Let v(h) = -h**3 + h**2 + 3*h - 3. Let x = -9 - -56. What is the remainder when x is divided by v(p)?
23
Suppose 200 - 62 = 6*w. What is the remainder when 89 is divided by w?
20
Let x = 297 - 207. Calculate the remainder when x is divided by 23.
21
Let z be (4/2 + 0)*-2. Let d(s) be the third derivative of -s**4/6 - 5*s**3/6 + 4*s**2. What is the remainder when 21 is divided by d(z)?
10
Let x(q) = -19*q + 1. Suppose f + 7 = -3*l, -18 = 2*l + 2*f + 2*f. Let o be x(l). Calculate the remainder when 40 is divided by 1/(-4) - (-285)/o.
12
Let h(g) = 3*g**2 + 2*g - 6. What is the remainder when h(4) is divided by 13?
11
Suppose 2*v + 3 + 2 = s, -2*s + 5*v = -8. Suppose -5*u = l - 18, -2*u = -3*l - 0*l + 3. Calculate the remainder when s is divided by l.
0
Suppose 0 = -3*s - 4*b + 1, 2*s + 5*b = 3*s - 13. Suppose -o + 32 = s*o. What is the remainder when 22 is divided by o?
6
Let a = -46 + 77. Calculate the remainder when a is divided by 17.
14
Let u be 0/3 + 1 + 3. Let i(f) = f**2 + 2*f - 5. Let a be i(-4). Suppose -a*d + 8*d - 108 = u*p, p = 2*d - 45. Calculate the remainder when d is divided by 13.
11
Let z(w) = 2*w**3 - 3 - 5*w**2 - w**2 + 0*w**2 + 5*w + 2. Let a be z(4). What is the remainder when 51 is divided by (2 - a/6)*-2?
12
Calculate the remainder when 33 is divided by -2*7/((-56)/76).
14
Suppose 4*o = 3*l + 1, -2*o - 5 = -5*l + 12. Suppose 3*b - 4*i - 24 = -b, 69 = o*b + 5*i. Calculate the remainder when 20 is divided by b.
9
Let y(i) = -i**3 + 18*i - 3. Calculate the remainder when y(-5) is divided by 12.
8
Suppose 2*f - 14 = 4*f. Let z = -5 - f. What is the remainder when 4 is divided by z?
0
Calculate the remainder when 5 is divided by (9/54)/(3/18).
0
Let i = -65 - -109. Suppose -8*a + i = 2*l - 4*a, -25 = -l - 3*a. What is the remainder when 47 is divided by l?
15
Suppose 0 = 2*g + 3*x - 15, -g - 2*g + 4*x = -31. Calculate the remainder when 25 is divided by g.
7
Suppose -o = -3*o + 20. What is the remainder when 29 is divided by o?
9
Let l(z) = z**2 - 5*z. Let g be l(5). Suppose -y - 12 = -4*o - 6*y, g = 4*y. What is the remainder when o is divided by 1?
0
Let b(w) = 2*w**2 - 5*w - 9. What is the remainder when b(6) is divided by 9?
6
Suppose -87 = 5*k - 262. Let g = k - 17. What is the remainder when 34 is divided by g?
16
Let r(h) = -3*h + 1. Suppose -2*p = n - 10, 0*p - 2*n = -p - 5. Let g = p + -9. What is the remainder when r(g) is divided by 10?
9
Suppose 0 = -7*y - 80 + 430. Calculate the remainder when y is divided by 11.
6
Let o(a) = 2*a**2 + a. Calculate the remainder when (-500)/(-18) - ((-8)/36 + 0) is divided by o(-3).
13
Suppose 4*c = -3*p + 22, 2*c - 3 = 5. What is the remainder when 12 is divided by (7/(-2))/((-1)/p)?
5
Suppose 47 = 3*u - 1. Suppose 2*h - 47 = h. What is the remainder when h is divided by u?
15
Let c(n) = n**3 - 4*n**2 - 5. Let x = -71 - -110. What is the remainder when x is divided by c(5)?
19
Suppose -4*o + 147 = 47. Let x = o + -41. Let i = x + 41. What is the remainder when i is divided by 13?
12
Let t(u) = -u - 5. Let i be t(-8). Suppose -31 = -i*d + 32. What is the remainder when 82 is divided by d?
19
Suppose 5*a - 2*a = 0. Suppose 4*f - 5*f + 8 = a. What is the remainder when f is divided by 3?
2
Let w = 69 + -61. Calculate the remainder when 28 is divided by w.
4
Let r be (-4)/10 + (-84)/(-35). Let g = -17 + 33. Calculate the remainder when 3/r - (-114)/4 is divided by g.
14
Let k = -25 + 13. Suppose 40 + 28 = 4*g. What is the remainder when 36/(3/k*-3) is divided by g?
14
Let t(b) = 5*b**2 + 3*b + 5. Let u be t(6). Let x = 42 + -22. Calculate the remainder when u/5 + 8/x is divided by 21.
20
Suppose 0 = 32*r - 27*r - 30. Let f(i) be the third derivative of 3*i**5/10 + i**4/12 + i**3/6 + 2*i**2. Calculate the remainder when f(-1) is divided by r.
5
Let f(l) = -1 - 8*l + 1. What is the remainder when 30 is divided by f(-1)?
6
Suppose 114 = s + 37. Suppose -18*n - 78 = -21*n. What is the remainder when s is divided by n?
25
Let m(k) = -k**2 + 10*k - 1. Let b = 19 - 12. What is the remainder when m(b) is divided by 7?
6
Suppose -3*b = 17 - 170. Let l = b - 33. Suppose 2*k - l = -3*t, t - 2*k - 6 = -0*k. What is the remainder when 10 is divided by t?
4
Let z = 10 + -7. Let y = 2 + z. What is the remainder when y is divided by 3?
2
Let v = -74 + 122. Let z = -2 - -5. Suppose z*n - 102 = v. Calculate the remainder when n is divided by 17.
16
Suppose -2*g = -0*g. Suppose 6*y - 5*y - 32 = g. Suppose 2*t = -4, -2*p = -7*p - 5*t + 75. Calculate the remainder when y is divided by p.
15
Let k = 7 - -3. What is the remainder when 58 is divided by k?
8
Suppose -l - 8 = -5*l. Suppose l*p + 5*f = 123, f - 207 = -5*p + 89. What is the remainder when p is divided by 20?
19
What is the remainder when 89/2 + (-3)/6 is divided by 9?
8
Let i(s) = 0*s - 2 - 9*s + 1. Suppose -t - t = -4*b + 6, -t = 5. What is the remainder when i(b) is divided by 3?
2
Let m(s) be the third derivative of -s**5/60 + s**4/3 + s**3/3 + 3*s**2. Let q(t) = 18*t**2 - t. Calculate the remainder when q(1) is divided by m(7).
8
Let i = 194 - 138. What is the remainder when i is divided by 15?
11
Suppose -k - 20 = -6*k. What is the remainder when 11 is divided by k?
3
Let k(u) = u**2 - u - 14. Let g be k(0). Let i = 31 + g. What is the remainder when 31 is divided by i?
14
Let s(y) = y + 1. Let f = -43 - -25. What is the remainder when s(0) is divided by (-8)/28 + f/(-14)?
0
Suppose 47 + 0 = 3*s - 5*g, -5*s = 5*g - 105. Suppose 0 = -q - 0*q + s. Calculate the remainder when q is divided by 7.
5
Let t(l) = 60*l. Let y be t(1). Calculate the remainder when 45 is divided by (8/5)/(8/y).
9
Calculate the remainder when 74 is divided by (-10)/(-1)*(-10)/(-4).
24
Suppose 2*n + n = 36. Suppose 2 = 5*y + 2*m + 40, 0 = 5*m - 5. What is the remainder when 540/16 - (-6)/y is divided by n?
9
Suppose 4*p = 3*h - 49, -39 = -4*h - p + 1. What is the remainder when 41 is divided by h?
8
What is the remainder when 136 is divided by 23 - 1*(4 + -4)*1?
21
Let x(z) = 5*z - 9. Let i be x(7). Suppose -y - i + 129 = 3*o, 2*o - 4*y - 50 = 0. Suppose 7 = r - o. What is the remainder when r is divided by 14?
12
Suppose n - 1 = -7. Let m = 1 + 12. Let l = m + n. What is the remainder when 12 is divided by l?
5
Suppose -3*x + 12 = -5*o - 5, -2*x + 4*o = -8. Calculate the remainder when x is divided by 7.
0
Suppose 2*j - j + 5*b = 30, 4*j = -4*b + 72. What is the remainder when j is divided by 4?
3
Calculate the remainder when (-1)/(-4) + (-151)/(-4) is divided by 13.
12
Suppose 3*b - 140 = -2*b. Calculate the remainder when b is divided by 6.
4
Suppose 0 = -p, -3*n - 65 = 5*p - 2. Let o = 111 + n. Let r = o - 53. Calculate the remainder when r is divided by 10.
7
Suppose 0 = 2*k + 5*n - 6, -4*k - 2*n = n - 26. Let v = -3 - -8. What is the remainder when k is divided by v?
3
What is the remainder when (18/(-15))/(3/(-25)) is divided by 3?
1
Let v = 7 + -3. Suppose -v*j + 261 = 29. What is the remainder when j is divided by 15?
13
Suppose q + 5 = 4*u, -3*u - u = -3*q + 17. Supp | {
"pile_set_name": "DM Mathematics"
} |
165
What is prob of picking 1 o and 1 i when two letters picked without replacement from iiooioiiooioo?
7/13
Calculate prob of picking 2 h when two letters picked without replacement from rhgrrhrrgrrr.
1/66
Calculate prob of picking 4 l when four letters picked without replacement from lwwwljjywll.
1/330
What is prob of picking 1 m, 1 h, and 1 v when three letters picked without replacement from {v: 5, m: 2, h: 1, c: 8}?
1/56
What is prob of picking 2 t and 1 m when three letters picked without replacement from sptsvstppstsm?
3/286
Four letters picked without replacement from mgkggkknkn. Give prob of picking 2 n, 1 g, and 1 m.
1/70
Three letters picked without replacement from {s: 4, y: 6, w: 10}. What is prob of picking 2 w and 1 s?
3/19
Four letters picked without replacement from {d: 1, o: 2, q: 7, y: 1, l: 5}. Give prob of picking 2 l, 1 y, and 1 d.
1/182
Two letters picked without replacement from uvdumvuwuu. Give prob of picking 1 v and 1 w.
2/45
Calculate prob of picking 1 e and 1 l when two letters picked without replacement from ltmeg.
1/10
Two letters picked without replacement from {e: 2, i: 9}. What is prob of picking 1 i and 1 e?
18/55
What is prob of picking 2 v when two letters picked without replacement from vjvvj?
3/10
Two letters picked without replacement from tjjjvwjbjrbwtjb. Give prob of picking 1 b and 1 j.
6/35
Calculate prob of picking 4 x when four letters picked without replacement from {x: 14, a: 4}.
1001/3060
Calculate prob of picking 3 y when three letters picked without replacement from lollylyyyyyoyoyoyyy.
55/323
What is prob of picking 1 c and 1 q when two letters picked without replacement from bqbqclclbblbbbc?
2/35
What is prob of picking 1 y and 1 o when two letters picked without replacement from yyooyyqyoqyy?
7/22
Calculate prob of picking 1 a and 1 r when two letters picked without replacement from {a: 2, r: 1, w: 1, c: 4, x: 7, k: 2}.
1/68
What is prob of picking 1 j and 1 g when two letters picked without replacement from mnmmmgnmjjm?
2/55
Calculate prob of picking 1 l and 1 f when two letters picked without replacement from kfkklfkfqffffqikf.
1/17
Two letters picked without replacement from {r: 2, h: 1, o: 4, b: 3}. What is prob of picking 2 o?
2/15
What is prob of picking 4 j when four letters picked without replacement from {j: 4, h: 10, v: 2, i: 3}?
1/3876
What is prob of picking 3 k and 1 p when four letters picked without replacement from {k: 4, w: 4, p: 6}?
24/1001
Calculate prob of picking 2 m and 2 r when four letters picked without replacement from {r: 5, m: 3}.
3/7
Two letters picked without replacement from {n: 1, x: 2}. Give prob of picking 1 x and 1 n.
2/3
Three letters picked without replacement from {n: 2, m: 7, z: 1}. What is prob of picking 1 n, 1 m, and 1 z?
7/60
Three letters picked without replacement from {c: 4, x: 8, l: 4}. What is prob of picking 3 x?
1/10
Two letters picked without replacement from {t: 5}. Give prob of picking 2 t.
1
What is prob of picking 1 v and 1 l when two letters picked without replacement from {o: 1, v: 5, i: 6, l: 3}?
1/7
Calculate prob of picking 2 b and 2 t when four letters picked without replacement from {b: 1, x: 6, e: 1, t: 1, a: 3}.
0
Calculate prob of picking 3 l when three letters picked without replacement from iliiiillil.
1/30
Calculate prob of picking 4 d when four letters picked without replacement from jdjjjjjjjjdjjjjjjdd.
1/3876
Two letters picked without replacement from {y: 1, e: 3}. What is prob of picking 2 e?
1/2
Calculate prob of picking 1 i and 1 y when two letters picked without replacement from yyyhythhtyyytyyhyyyi.
6/95
What is prob of picking 4 l when four letters picked without replacement from {m: 2, l: 4}?
1/15
Two letters picked without replacement from avavvv. What is prob of picking 2 v?
2/5
Calculate prob of picking 2 y when two letters picked without replacement from bybbbybb.
1/28
What is prob of picking 2 m, 1 p, and 1 j when four letters picked without replacement from mmmpmmmmmmmjmmmjm?
13/170
Calculate prob of picking 1 h and 1 k when two letters picked without replacement from {k: 6, h: 7}.
7/13
What is prob of picking 1 a and 1 s when two letters picked without replacement from {s: 11, z: 1, a: 7}?
77/171
Three letters picked without replacement from ixreyyw. Give prob of picking 1 x, 1 y, and 1 e.
2/35
Two letters picked without replacement from tmatmtttttmmtttmtt. Give prob of picking 1 a and 1 m.
5/153
Two letters picked without replacement from kccekkekcc. Give prob of picking 2 k.
2/15
Three letters picked without replacement from jjwwwwwnwwwwwwwj. What is prob of picking 2 w and 1 j?
99/280
Two letters picked without replacement from {g: 8, f: 4, u: 2}. What is prob of picking 1 u and 1 f?
8/91
Calculate prob of picking 1 d and 2 y when three letters picked without replacement from {y: 2, d: 2}.
1/2
Two letters picked without replacement from {r: 4, p: 3}. Give prob of picking 2 p.
1/7
Three letters picked without replacement from zumpmmzmpp. What is prob of picking 1 z and 2 m?
1/10
What is prob of picking 4 o when four letters picked without replacement from {w: 13, o: 5}?
1/612
Three letters picked without replacement from bbbbhbbbf. What is prob of picking 3 b?
5/12
What is prob of picking 1 u, 1 r, and 2 z when four letters picked without replacement from {u: 2, z: 4, r: 8}?
96/1001
Calculate prob of picking 4 g when four letters picked without replacement from {g: 15, p: 3}.
91/204
Calculate prob of picking 1 n and 2 k when three letters picked without replacement from {e: 1, k: 2, n: 2}.
1/5
Two letters picked without replacement from rrffrffrrredfeffrfff. What is prob of picking 1 f and 1 r?
7/19
What is prob of picking 1 s and 1 k when two letters picked without replacement from kuskssssskskkksss?
15/34
What is prob of picking 2 m when two letters picked without replacement from mgzmmmzmmzmmzm?
36/91
What is prob of picking 2 w and 1 u when three letters picked without replacement from {w: 2, k: 4, q: 1, u: 2, f: 1}?
1/60
Calculate prob of picking 1 s and 2 a when three letters picked without replacement from {u: 1, a: 2, s: 4}.
4/35
Two letters picked without replacement from {t: 12, f: 6}. Give prob of picking 2 t.
22/51
Two letters picked without replacement from {g: 2, n: 6}. Give prob of picking 2 g.
1/28
Two letters picked without replacement from ngnqggvg. What is prob of picking 2 n?
1/28
Four letters picked without replacement from {o: 4, q: 4, w: 3}. Give prob of picking 2 o, 1 q, and 1 w.
12/55
Calculate prob of picking 2 e when two letters picked without replacement from weefkeefeke.
3/11
Four letters picked without replacement from mmmmmpmmmmmmmmm. What is prob of picking 4 p?
0
Calculate prob of picking 1 p and 2 k when three letters picked without replacement from {k: 5, q: 3, c: 1, p: 1, s: 5}.
2/91
Four letters picked without replacement from {m: 5, f: 5}. Give prob of picking 2 m and 2 f.
10/21
Calculate prob of picking 1 m, 1 z, 1 u, and 1 d when four letters picked without replacement from mmvmmdxmmmxmmmuzmmx.
1/323
Calculate prob of picking 1 t and 3 u when four letters picked without replacement from utttuwuu.
6/35
What is prob of picking 1 q and 1 v when two letters picked without replacement from qcqvvlqq?
2/7
Two letters picked without replacement from {i: 1, z: 3, s: 2, q: 1}. What is prob of picking 1 i and 1 s?
2/21
What is prob of picking 2 p when two letters picked without replacement from pppptntpttppp?
14/39
Three letters picked without replacement from eeeennnnnenneeeennne. Give prob of picking 3 e.
2/19
Two letters picked without replacement from {c: 2, t: 4}. What is prob of picking 2 c?
1/15
Calculate prob of picking 2 g and 1 o when three letters picked without replacement from figifiofgi.
1/120
What is prob of picking 3 m and 1 q when four letters picked without replacement from qqmmmqmqqqq?
14/165
Three letters picked without replacement from {g: 2, s: 7, r: 1, f: 8, p: 2}. Give prob of picking 1 r and 2 p.
1/1140
What is prob of picking 2 l when two letters picked without replacement from kllzkkkklkzkz?
1/26
Four letters picked without replacement from ssssllssslsssss. Give prob of picking 2 s and 2 l.
66/455
Three letters picked without replacement from e | {
"pile_set_name": "DM Mathematics"
} |
s 98 a factor of 73886?
False
Does 83 divide 2523449?
True
Is 12 a factor of 1380468?
True
Is 14 a factor of 84336?
True
Is 10 a factor of 853820?
True
Is 16275 a multiple of 25?
True
Is 21 a factor of 737478?
True
Is 270063 a multiple of 9?
True
Is 13 a factor of 3477110?
True
Does 66 divide 113425?
False
Is 44095 a multiple of 29?
False
Is 6694208 a multiple of 17?
False
Is 253 a factor of 28642458?
False
Is 32 a factor of 6767?
False
Is 57 a factor of 36708?
True
Does 13 divide 5527?
False
Is 249213 a multiple of 19?
False
Is 3925719 a multiple of 39?
False
Does 26 divide 2414829?
False
Is 669330 a multiple of 54?
True
Is 15 a factor of 11321925?
True
Does 24 divide 2099280?
True
Is 1720509 a multiple of 108?
False
Does 65 divide 15538205?
False
Is 3 a factor of 34491?
True
Does 10 divide 296106?
False
Does 10 divide 2945250?
True
Is 4487819 a multiple of 133?
True
Is 15610 a multiple of 446?
True
Is 450527 a multiple of 77?
True
Is 95480 a multiple of 20?
True
Is 161509 a multiple of 4?
False
Is 114 a factor of 1578038?
False
Is 3 a factor of 52497?
True
Does 90 divide 105930?
True
Is 10752040 a multiple of 65?
True
Is 264929 a multiple of 10?
False
Is 112 a factor of 2309664?
True
Is 8 a factor of 78344?
True
Does 11 divide 99264?
True
Does 111 divide 184417?
False
Is 27 a factor of 1205964?
False
Is 5263 even?
False
Does 16 divide 110224?
True
Is 12843411 a multiple of 210?
False
Is 10 a factor of 37060?
True
Is 5 a factor of 8656540?
True
Does 233 divide 2904269?
False
Is 16 a factor of 1307911?
False
Is 145 a factor of 1355915?
False
Is 4706208 a multiple of 26?
True
Is 7 a factor of 224544?
False
Is 1843496 a multiple of 43?
True
Is 1199123 a multiple of 176?
False
Is 211 a factor of 4560976?
True
Does 35 divide 101045?
True
Does 57 divide 91808?
False
Is 51428 a multiple of 46?
True
Does 282 divide 272412?
True
Is 4237087 a multiple of 586?
False
Is 60 a factor of 62520?
True
Is 389 a factor of 9765159?
False
Does 425 divide 200600?
True
Is 750176 a multiple of 28?
True
Is 239394 a multiple of 34?
True
Is 9 a factor of 47682?
True
Does 19 divide 1762638?
False
Does 70 divide 246190?
True
Is 30 a factor of 26310?
True
Is 4246532 a multiple of 68?
True
Is 11577 a multiple of 2?
False
Is 140160 a multiple of 11?
False
Is 243 a factor of 3037806?
False
Is 421515 a multiple of 15?
True
Is 402 a factor of 10681542?
True
Does 77 divide 9173626?
True
Is 227 a factor of 4669528?
False
Does 22 divide 778668?
True
Is 7 a factor of 16281?
False
Does 36 divide 453024?
True
Is 44 a factor of 4417468?
True
Does 466 divide 67856?
False
Does 39 divide 1166867?
False
Is 5622493 a multiple of 907?
True
Is 190 a factor of 81890?
True
Is 170 a factor of 7614130?
True
Is 6 a factor of 2188386?
True
Is 32 a factor of 755935?
False
Is 290 a factor of 2408450?
True
Is 29 a factor of 70050?
False
Does 73 divide 1532489?
True
Is 179832 a multiple of 2?
True
Does 38 divide 2747419?
False
Is 358329 a multiple of 31?
True
Is 4579533 a multiple of 1389?
True
Is 227701 a multiple of 109?
True
Does 158 divide 4589900?
True
Is 4004 a multiple of 14?
True
Is 347 a factor of 25731?
False
Is 4585683 a multiple of 18?
False
Does 97 divide 246859?
False
Is 8064397 a multiple of 18?
False
Does 96 divide 3820512?
True
Is 301 a factor of 7208186?
False
Does 179 divide 145654?
False
Does 11 divide 121836?
True
Does 472 divide 2473205?
False
Does 14 divide 773825?
False
Is 49 a factor of 1406721?
False
Is 50390 a multiple of 31?
False
Is 330645 a multiple of 47?
True
Is 2706816 a multiple of 128?
True
Is 118881 a multiple of 21?
True
Does 181 divide 889802?
False
Is 243 a factor of 5756582?
False
Is 2 a factor of 2032?
True
Does 340 divide 305660?
True
Does 19 divide 199937?
True
Does 99 divide 2711907?
True
Is 271417 a multiple of 67?
True
Does 43 divide 1588334?
True
Is 80830 a multiple of 118?
True
Does 9 divide 128880?
True
Does 25 divide 159600?
True
Is 11 a factor of 5948249?
False
Is 14 a factor of 29467?
False
Is 1386874 a multiple of 12?
False
Is 898932 a multiple of 138?
True
Is 487800 a multiple of 25?
True
Is 220 a factor of 71060?
True
Is 21 a factor of 5317752?
False
Is 1054 a factor of 4835725?
False
Is 31 a factor of 30702142?
False
Is 207971 a multiple of 3?
False
Is 20 a factor of 12592320?
True
Is 3 a factor of 113204?
False
Is 46134 a multiple of 99?
True
Does 124 divide 75490?
False
Is 85113 a multiple of 193?
True
Is 137 a factor of 209747?
True
Is 396 a factor of 27545988?
False
Does 53 divide 144640?
False
Is 2333212 a multiple of 53?
False
Is 44279 a multiple of 2?
False
Does 309 divide 134513?
False
Is 27 a factor of 186496?
False
Does 47 divide 4695535?
True
Is 106491 a multiple of 109?
False
Is 10 a factor of 157327?
False
Is 14 a factor of 2308427?
False
Is 1387780 a multiple of 20?
True
Does 19 divide 2582492?
False
Is 1836332 a multiple of 56?
False
Is 3556489 a multiple of 62?
False
Is 1442877 a multiple of 68?
False
Is 25 a factor of 5588993?
False
Is 1325162 a multiple of 279?
False
Is 2391693 a multiple of 27?
False
Does 18 divide 466668?
True
Is 14 a factor of 183890?
True
Is 46 a factor of 481206?
True
Is 8 a factor of 384251?
False
Is 2 a factor of 345499?
False
Does 14 divide 270116?
True
Does 81 divide 635472?
False
Does 182 divide 215670?
True
Is 72010 even?
True
Is 237 a factor of 3430583?
False
Does 56 divide 33096?
True
Is 2252070 a multiple of 1161?
False
Is 21 a factor of 4858857?
False
Is 36 a factor of 73294?
False
Is 7443 a multiple of 23?
False
Is 9 a factor of 490833?
True
Is 104250 a multiple of 3?
True
Is 2813568 a multiple of 128?
True
Is 214 a factor of 5452461?
False
Does 400 divide 145200?
True
Is 5 a factor of 75974?
False
Is 2042524 a multiple of 20?
False
Is 6309885 a multiple of 14?
False
Is 87 a factor of 2523696?
True
Does 129 divide 165894?
True
Does 16 divide 2839440?
True
Is 70 a factor of 132752?
False
Is 5676840 a multiple of 26?
True
Is 609 a factor of 102921?
True
Is 10 a factor of 1534772?
False
Is 15638 a multiple of 14?
True
Is 2068688 a multiple of 268?
False
Does 25 divide 4524?
False
Does 162 divide 232454?
False
Does 41 divide 233839?
False
Is 5752 a multiple of 593?
False
Is 252 a factor of 8923599?
False
Is 29153671 a multiple of 620?
False
Is 266 a factor of 293690?
False
Is 184 a factor of 972952?
False
Does 16 divide 779568?
True
Does 77 divide 366212?
True
Does 6 divide 4690?
False
Is 179475 a multiple of 3?
True
Is 12 a factor of 63228?
True
Does 263 divide 98193?
False
Is 272 a factor of 16160236?
False
Does 8 divide 1393890?
False
Does 29 divide 4306877?
True
Is 3848106 a multiple of 182?
False
Is 93883 a multiple of 63?
False
Is 10632 a multiple of 41?
False
Does 570 divide 10337776?
False
Does 78 divide 48282?
True
Is 345802 a multiple of 9?
False
Is 13 a factor of 301314?
True
Is 717147 a multiple of 9?
True
Is 21 a factor of 2841174?
True
Does 1921 divide 22934819?
True
Is 40 a factor of 1111598?
False
Is 23200 a multiple of 25?
True
Does 134 divide 5629916?
False
Is 33 a factor of 181236?
True
Is 90987 a multiple of 9?
False
Does 65 divide 186081?
False
Is 105 a factor of 59907?
False
Does 7 divide 1509944?
False
Is 83183 a multiple of 111?
False
Is 5958472 a multiple of 26?
True
Is 358 a factor of 1211114?
True
Does 420 divide 78540?
True
Does 10 divide 62210?
True
Is 22 a factor of 5287591?
False
Does 61 divide 329783?
False
Does 13 divide 17306?
False
Is 1836 a factor of 6139584?
True
Does 199 divide 1645133?
True
Does 761 divide 9826793?
True
Is 196 a factor of 108157?
False
Is 29 a factor of 44328?
False
Is 3749428 a multiple of 302?
False
Is 823025 a multiple of 28?
False
Is 174585 a multiple of 309?
True
Is 397 a factor of 5217388?
False
Is 318 a factor of 978804?
True
Is 142 a factor of 601533?
False
Is 68 a factor of 12996045?
False
Is 48 a factor of 2907157?
False
Is 22175 a multiple of 25?
True
Does 10 divide 6258?
False
Is 479792 a multiple of 20?
False
Does 189 divide 783216?
True
Is 529200 a multiple of 90?
True
Is 15 a factor of 320475?
True
Is 5584275 a multiple of 87?
False
Is 109 a factor of 11930711?
False
Is 8 a factor of 295815?
False
Is 7528141 a multiple of 94?
False
Is 9702 a multiple of 2?
True
Is 7276453 a multiple of 10?
False
Is 531 a factor of 297891?
Tr | {
"pile_set_name": "DM Mathematics"
} |
99 + 77 + 17. Let x(t) = -1. Give a(r) - 4*x(r).
12*r - 1
Let h(g) = 3*g + 3. Let v(q) be the first derivative of -q**2 - 4*q + 47. Let f(c) = -c**2 - 17*c - 33. Let o be f(-15). Give o*v(z) - 4*h(z).
-6*z
Let w(j) = -2*j + 3. Let h(p) = p**2 - 14*p - 118. Let v be h(-6). Let o(k) = -10*k + 15. What is v*o(m) - 11*w(m)?
2*m - 3
Let z(i) = -5*i + 59*i**3 + 49*i**3 + 44 + 44*i**2 + 5*i + 13*i**3. Let p(g) = 8*g**3 + 3*g**2 + 3. Calculate -44*p(y) + 3*z(y).
11*y**3
Suppose 5*k - 176 = k. Let b(g) = -g**2 + g. Let l(q) = -72*q**2 + 9*q + 2. Let w(z) = 102*z**2 - 8*z - 3. Let u(n) = -6*l(n) - 4*w(n). Give k*b(h) + 2*u(h).
4*h**2
Let y(l) = l**2 - l + 1. Let u(w) = 3*w**2 - 2*w - 198. What is u(m) - 2*y(m)?
m**2 - 200
Let t(j) = j**2 - 9*j - 9. Let p be t(10). Let y(d) be the second derivative of 5*d**3/6 - d**2 + 58*d. Let u(n) = n. What is p*y(l) - 3*u(l)?
2*l - 2
Let v(t) = 50. Let a(n) = -n - 2. Calculate 6*a(x) - v(x).
-6*x - 62
Let x(o) = -1 + 5*o**2 - 2*o**2 - o**2 + 4 + 4 - 4*o. Let j(v) = -v + 1. Determine -4*j(l) + x(l).
2*l**2 + 3
Let h(k) = -5*k - 1. Suppose 5*x - 20 = -5*c, 43 = 2*c - 3*x + 10. Let b(v) = 12 + 10 - 24 - c*v. Give 3*b(z) - 5*h(z).
-2*z - 1
Suppose 5*k + 231 = -3*g, 0*k + 2*k = -4*g - 308. Let s(c) = -341*c. Let t(w) = 9*w. Give g*t(a) - 2*s(a).
-11*a
Let a be 3 + 28/(-8) + 209/2. Let z = a + -102. Let h(g) = 4*g**2 + 1. Let q(y) = -21*y**2 + y - 6. Give z*q(v) + 11*h(v).
2*v**2 + 2*v - 1
Suppose -512*c + 18 = -515*c. Let u(p) = -4*p**2 - 7*p + 8. Let l(r) = 9*r**2 + 15*r - 17. What is c*l(q) - 13*u(q)?
-2*q**2 + q - 2
Let n(p) = 136*p**3 - 5*p**2 + 5. Let o(d) = 136*d**3 - 6*d**2 + 6. Give -6*n(s) + 5*o(s).
-136*s**3
Let f(d) = -4*d**2 + 13. Let l(r) = 1. Calculate -6*f(p) + 78*l(p).
24*p**2
Let b(o) = -27*o + 13. Let y(c) = 406*c - 196. Give 91*b(a) + 6*y(a).
-21*a + 7
Let v(h) be the third derivative of h**4/6 + 3*h**3/2 - 5*h**2 - 6*h. Let d(k) = 6*k + 14. What is 5*d(y) - 8*v(y)?
-2*y - 2
Let o(p) = -3*p**2 + 3. Let v(r) = 6 + 9*r**2 + 2 - 16. Give 8*o(n) + 3*v(n).
3*n**2
Let x(q) = 1244*q**3 + 2*q**2 - 2. Let d(g) = 1353472*g**3 + 2177*g**2 - 2177. What is 2*d(k) - 2177*x(k)?
-1244*k**3
Let p(m) = 2*m + 11. Let w(y) = 1 - y + 9*y + 5*y - 12*y. Give p(i) - 4*w(i).
-2*i + 7
Let y(c) = c. Let n(z) = -2*z**2 + 4*z + 2 - 3 + 0*z**2. Let g = -12 - -53. Suppose -g*s + 45*s = 4. Determine s*n(o) - 4*y(o).
-2*o**2 - 1
Let a(i) = 2*i**3 + 403. Let y(k) = -k**3 - 202. Give 3*a(w) + 5*y(w).
w**3 + 199
Let s(t) = -143*t**2 + 3*t + 12. Let p(y) = 143*y**2 - 2*y - 8. What is -6*p(d) - 4*s(d)?
-286*d**2
Suppose 0 = 5*x - 25, -4*i + 5 = -4*x - 59. Let o(j) = j - 1. Let d(s) = -10*s + 7. What is i*o(q) + 3*d(q)?
-9*q
Let j(y) = 2. Let h(f) = f + 6. Let c = 0 + -8. Let k(a) = -a**3 - 8*a**2 - a - 6. Let i be k(c). Let z = -15 - -9. What is i*h(n) + z*j(n)?
2*n
Let k(b) = 112*b + 80. Let o(j) = -16*j - 12. What is 3*k(q) + 20*o(q)?
16*q
Let a(b) = 3*b + 36. Let y be a(-12). Let s(w) = -4*w + 1 - 6*w**2 - 6 + y*w + 0*w. Let u(q) = -3*q**2 - 2*q - 3. What is 3*s(l) - 5*u(l)?
-3*l**2 - 2*l
Suppose 6*m + 0*m = 60. Let n(o) = -m*o**2 + o**2 + 3*o**2 - o + 7*o**2 - 1. Let k(c) = 6*c**2 - 2*c - 5. Determine -k(s) + 4*n(s).
-2*s**2 - 2*s + 1
Let c(k) = -4*k. Let i(o) = -4*o + 85. What is 2*c(y) - i(y)?
-4*y - 85
Let z = -48 - -49. Let c(t) = 1. Let x(l) = -2*l**3 + 3*l**2 - 6. Calculate z*x(q) + 6*c(q).
-2*q**3 + 3*q**2
Let n(m) = 8*m**3 + 6*m**2 - 2. Let j(y) = -y**3 - 2*y**2. Give 3*j(b) + n(b).
5*b**3 - 2
Let r(t) = 3*t**2 + 36*t - 35. Let g be r(1). Let w(k) = 2*k**2 + 4*k - 5. Let i(d) = -2*d**2 - 5*d + 5. Give g*i(z) + 5*w(z).
2*z**2 - 5
Let n(v) be the first derivative of -v**3/6 + 9*v**2/2 - 2*v - 1. Let u(r) be the first derivative of n(r). Let z(x) = x - 8. Give 6*u(s) + 7*z(s).
s - 2
Suppose 0 = -4*r - 2*n + 10, 0*n = r - 3*n - 6. Let a(y) = y**2 - 2. Let t(o) = -4*o. Let b be t(-2). Let k(h) = -2*h**2 + 5. Calculate b*a(q) + r*k(q).
2*q**2 - 1
Let u(v) be the second derivative of -2*v**5/5 + v**4/6 + v**3/3 - 2*v**2 + 3*v - 11. Let r(p) = -p**3 + p**2 + p - 1. What is -2*r(l) + u(l)?
-6*l**3 - 2
Let b(a) = -9*a - 7. Let c(s) be the third derivative of s**4/3 + s**3 + 4*s**2 - 115. Determine 6*b(h) + 7*c(h).
2*h
Let x(y) = -y**2 + 1. Let l(p) = 2. Calculate -l(z) - 5*x(z).
5*z**2 - 7
Let l(t) = -2*t + 42. Let j(b) = -6*b + 171. Determine -2*j(g) + 9*l(g).
-6*g + 36
Let r(u) = 189 + 3*u**2 - 195 - u**2 + 2*u. Let d(v) = -4*v**2 - 4*v + 13. Determine -6*d(x) - 13*r(x).
-2*x**2 - 2*x
Let c(z) = 1. Let f(g) = 12*g**2 - 6*g + 9. Calculate 6*c(r) - f(r).
-12*r**2 + 6*r - 3
Let c(a) = -29*a**2 - 5*a - 8. Let k(j) = -4*j**2 - j + 1. Determine -c(l) + 4*k(l).
13*l**2 + l + 12
Let k = 32 - 30. Let d(t) = -7 - k*t + t - 5*t - t. Let x(f) = -f - 1. Calculate -d(v) + 6*x(v).
v + 1
Let t(o) = -1132*o**2 + 10*o - 20. Let g(w) = 378*w**2 - 3*w + 6. Give 20*g(n) + 6*t(n).
768*n**2
Let m(k) be the second derivative of -23/12*k**4 + 0 - 18*k + 0*k**3 + 9/2*k**2. Let p(d) = 8*d**2 - 3. Determine -6*m(j) - 17*p(j).
2*j**2 - 3
Let a(s) = -7*s**2 + s - 4. Let t(g) = 12*g**2 - g + 6. What is -5*a(z) - 3*t(z)?
-z**2 - 2*z + 2
Let o(b) = 15*b**3 + 13. Let t(l) = 7*l**3 + 6. Give 4*o(y) - 9*t(y).
-3*y**3 - 2
Suppose -4*j - 19 = 1. Suppose -5*t + 410 = -5*n, -2*t = 2*t - 5*n - 333. Let a(k) = -2 - t*k + 43*k + 35*k. Let p(x) = -3*x + 4. What is j*a(s) - 2*p(s)?
s + 2
Let k(t) = -t**2 + t - 10. Let x(b) = b**2 - 3*b + 10. Give 3*k(g) + 2*x(g).
-g**2 - 3*g - 10
Let j(z) = z - 5. Let f(t) = -12 + 2*t + 0*t + 1. Let l be ((-32)/(-32))/(1/(-2)*-1). Suppose 5*c - 11 = 2*o, 2*o + 31 = 5*o + l*c. Determine o*j(y) - 3*f(y).
y - 2
Let t = 299 + -5. Let y(o) = -293*o - 2 + 1 + t*o. Let l(z) = 6*z - 7. Give 3*l(s) - 21*y(s).
-3*s
Let g(d) = 9*d**2 + 6*d - 7. Let i(l) = 9*l**2 + 7*l - 7. Give 7*g(z) - 6*i(z).
9*z**2 - 7
Let o = 309 + -296. Let f(j) = 10*j + 2. Let z(s) = -21*s - 4. Give o*f(y) + 6*z(y).
4*y + 2
Let w(t) = -6*t**3 - 3*t**2 + 7*t + 4. Let a(c) = 2*c**3 - c**2 + c + 1. Determine -4*a(h) + w(h).
-14*h**3 + h**2 + 3*h
Let y(i) be the second derivative of i**4/12 - 4*i**3/3 + 4*i**2 + 59*i. Let z(h) = -2*h**2 + 17*h - 17. Calculate -13*y(r) - 6*z(r).
-r**2 + 2*r - 2
Let z(i) = i**3 - i**2 + i. Let g(x) = -x**3 + 3*x**2 + 4*x - 3. Calculate g(n) + 4*z(n).
3*n**3 - n**2 + 8*n - 3
Let i(g) = 29*g**3 + 2*g**2 + g - 4. Let b(c) = 58*c**3 + 5*c**2 + 3*c - 8. Give 2*b(h) - 5*i(h).
-29*h**3 + h + 4
Let n(j) = -332 - 6*j + 166 + 166. Let m(f) = 24*f. Give 4*m(g) + 15*n(g).
6*g
Let v be (22/6)/((-12)/(-36)). Let x(a) = -4*a**3 - a - 4. Let t(s) = -12*s**3 - 2*s - 11. Give v*x(n) - 4*t(n).
4*n**3 - 3*n
Let p(g) = -6*g - 13. Let y(t) be the second derivative of 5*t**3/6 + 6*t**2 + 614*t. Calculate -6*p(a) - 7*y(a).
a - 6
Let o be (-14)/(-3)*(-324)/216. Let u(m) = -16*m + 16. Let q(h) = -11*h + 11. What is o*q(g) + 5*u(g)?
-3*g + 3
Let o(m) = -7*m - 4. Suppose 4*d - 5 + 29 = 0. Let k(n) = 1 + 97*n + 6 - 44*n - 40*n. Give d*k(u) - 11*o(u).
-u + 2
Let k(q) = 73*q + 2. Let o(r) = r + 1. Give -k(c) + 4*o(c).
-69*c + 2
Let g(z) = -8*z**2 + 7*z + 5. Let a(o) = -o**2 + o + 1. Determine 6*a(m) - g(m).
2*m**2 - m + 1
Let r(p) = -p**3 + 4*p**2 - 8. Let x(q) = -2 + 5*q**2 - 4*q**2 + 1. Suppose -16 = 3*y + 7*f - 6*f, -5*y - 26 = 2*f. Determine y*x(l) + r(l).
-l**3 - 2*l**2 - 2
Let f(k) = -3 - 2 + 4. Let s(i) be the first derivative of i**2/2 - 7*i - 24. What is 5*f(w) - s(w)?
-w + 2
Let i = 603 + -604. Let g(x) = x. Let c(b) = -2*b**2 - 3*b. Give i*c(p) + 2*g(p).
2*p**2 + 5*p
Let i be ((-1)/(-2))/((-4)/(-88)). Let s(b) = -9*b - 16. Let c(m) = -10*m - 16. Let k(n) = 7*c(n) - 6*s(n). Let z(f) = 3*f - 2 + 1 + 4. Give i*z(o) + 2*k(o).
o + 1
Let x(l) = l**2 + 3. Let f(s) = -3*s**2 - 5. Suppose 4*y + 9 = -5*t, -2*t + 35 - 25 = 5*y. Determine t*x(k) - 3*f(k).
4*k**2
Let v(a) be the first derivative of a**3/3 + a**2/2 - a - 700. Let f(h) = -21*h**2 - 14*h + 14. Determine f(k) + 14*v(k).
-7*k**2
Let j(t) = -35*t - 16. Let x(r) = -12*r - 5. Give 4*j(q) - 11*x(q).
-8*q - 9
Let q(o) = 77*o**2 - 42*o. Let j(h) be the second derivative of -3*h**4/4 + 5*h**3/6 + 88*h. Give -42*j(s) - 5*q(s).
-7*s**2
Let g(r) = -2*r - 3. Let b(u) = -91 + 86 - 5*u - u + 2*u. Determine -6*b(z) + 10*g(z).
4*z
Let s(o | {
"pile_set_name": "DM Mathematics"
} |
closest to 44/7 in -6/17, -5, 49, -1/4?
-1/4
What is the closest to 1 in -5, -0.4, 10489, -64?
-0.4
Which is the nearest to -1.9? (a) 0.02 (b) -2/3 (c) -1/3 (d) -542
b
Which is the closest to 0.3? (a) 1 (b) -8309 (c) -2/13
c
What is the closest to 6 in -5, -0.5, 3/7, 0, 3.26, 10?
3.26
What is the closest to -2489.03 in 1, -0.8, -1, 0.07?
-1
What is the nearest to -1 in 0.2, 374, -0.3, -55?
-0.3
Which is the nearest to 3/7? (a) 5/2 (b) 11 (c) -0.05 (d) 1787
c
Which is the closest to 108? (a) 2/9 (b) 37 (c) 70/37 (d) -0.5 (e) 5 (f) -3
b
What is the nearest to -2 in 0, -0.063, -3/8, -1.9, -10, 4?
-1.9
What is the closest to -1 in 5, 2, 2/3, 1166, -4/5, 0.1?
-4/5
Which is the nearest to 0? (a) 16189 (b) -13 (c) 1/4
c
Which is the nearest to 8? (a) 0 (b) -1 (c) 76/3341
c
Which is the closest to 0? (a) -5 (b) 2 (c) 124 (d) -4.9 (e) 0.05
e
Which is the closest to -5120? (a) 807.2 (b) -3/5 (c) 0.3
b
Which is the closest to 5? (a) -14 (b) 1 (c) 0.5 (d) 9363
b
Which is the closest to -3? (a) 2403 (b) 7/44 (c) -1/2
c
What is the closest to 1 in 0.4, 5, -94.3, -18?
0.4
Which is the nearest to 305? (a) 58 (b) 0.4 (c) -5/8 (d) -4
a
What is the closest to -19 in 17, -19/39, -0.1, -1/9?
-19/39
Which is the nearest to 1? (a) -145 (b) 0.023 (c) -116 (d) 1/5 (e) 1 (f) -1.3
e
What is the closest to -1 in 11/8, 3, -4, -20/39, 1/6?
-20/39
Which is the nearest to -1/4? (a) -3/22 (b) 2.18 (c) -4 (d) 4 (e) -5
a
What is the closest to -3.1 in -122, -1, -0.4, 0?
-1
What is the nearest to 183 in 51/44, -8, -2?
51/44
Which is the closest to -2787078? (a) 1/4 (b) -3 (c) 0.4 (d) 4
b
Which is the nearest to -1? (a) -3/6442 (b) -4 (c) -1 (d) 5 (e) 0.08
c
Which is the nearest to -5? (a) 6/7 (b) 329 (c) 3 (d) 7
a
What is the nearest to 10 in 0.1, -8, 2?
2
Which is the closest to -0.1? (a) 19097 (b) -3 (c) -72
b
What is the nearest to 1/5 in -4.1929, -0.5, 5, 1/3?
1/3
What is the closest to -44 in -0.31, 0, -1, -5, 73?
-5
What is the closest to -2 in -25/11, -1, -5, -103?
-25/11
What is the nearest to -17.5 in 0.5, 1/197, -1/8, -2/1717?
-1/8
Which is the nearest to 62? (a) -4/9 (b) -2/15 (c) 0 (d) -49
c
What is the closest to 2/25 in -34, -7, -1594, -4/7?
-4/7
What is the closest to -1 in 1, 420/353, 8.3?
1
What is the nearest to 1 in 32, -1, 15234, -0.4?
-0.4
Which is the closest to 0? (a) 13.2 (b) 1/77 (c) -1/2144
c
Which is the closest to 1/53? (a) -2/457 (b) 4 (c) -45
a
What is the nearest to -759 in -68, -5.5, 3, 2/11?
-68
What is the nearest to 4747 in -4, -4/5, -0.4, -40/13, -15?
-0.4
What is the closest to 0.03 in -11, 2, -0.2, 2/9, -8295?
2/9
Which is the closest to 0.6? (a) -2/9 (b) 1/5 (c) -0.08 (d) -4 (e) 1/12
b
What is the closest to 1 in -56, 0.006, 5, 87?
0.006
What is the closest to 20.982 in -3, -1, 650?
-1
What is the closest to -1/4 in 0.34, 2/7, 15531?
2/7
Which is the closest to 0.01? (a) 1/8 (b) -0.229 (c) -4 (d) -9664
a
Which is the nearest to -254? (a) 40.95 (b) -3 (c) 1/5
b
Which is the nearest to 0.1? (a) 0 (b) -193/4 (c) -4 (d) -4.87 (e) 17
a
What is the closest to 0.058 in -0.1, 27728, -0.2, 0?
0
What is the closest to -1/391 in -0.3, 2, -0.4, -1.8?
-0.3
Which is the closest to -0.1? (a) -0.04852 (b) 84 (c) -3
a
Which is the closest to 1/2? (a) -5/7 (b) -5.8 (c) -8/15 (d) 5 (e) 1 (f) 32
e
What is the closest to -0.1 in -0.2, 33/2, 2471.7, -1/3?
-0.2
Which is the closest to 0? (a) 285/61 (b) -0.7 (c) -4/3
b
What is the nearest to 1.4 in -1/4, -17.94, -0.036?
-0.036
What is the closest to -2/3 in -10, 1, -1/8, 0.07, 428/7, -28?
-1/8
What is the closest to -1/4 in 0, -4/3, 602, 2/3?
0
What is the closest to -0.02 in -360, -0.906, 0.4?
0.4
What is the closest to 1/2 in 1/12, -1.7018, -3?
1/12
Which is the closest to 7? (a) -1.4949 (b) 25 (c) -2/11
c
Which is the nearest to 1? (a) -96 (b) 14 (c) 27.4 (d) -5
d
Which is the nearest to 37/298? (a) 3 (b) -7.3 (c) 1 (d) 1/5 (e) 0.5
d
What is the closest to 8 in 20, -0.1, 164, 4/11, -3/7?
4/11
Which is the nearest to 0? (a) 1.11267 (b) -2/11 (c) -0.5
b
Which is the closest to -10997? (a) 2/7 (b) -5 (c) -286
c
What is the nearest to 0.11 in 1, 0.4, 0.01988?
0.01988
Which is the closest to -1? (a) 0.5 (b) 412 (c) 1.7 (d) 1 (e) -4 (f) 30/11
a
What is the closest to -0.1 in 0.4, 1/3, 450.83, -7, 2/11?
2/11
Which is the nearest to -0.5? (a) 4/3 (b) 6/319 (c) -2/3 (d) 1117 (e) -1/2 (f) -2
e
What is the closest to 2/5 in 0.01, -27.5, -9, -36?
0.01
What is the closest to 2/17 in -2/11, 0, 0.7, 0.017?
0.017
What is the nearest to 9/74 in -0.15, -4/11, 1, -0.07?
-0.07
What is the nearest to -0.24 in 3/4, 103/9, 11/4?
3/4
What is the closest to -1/4 in -54724, 0.2, 33?
0.2
Which is the nearest to 321? (a) -9 (b) -11.4 (c) 18
c
Which is the nearest to 2.73? (a) -0.2 (b) -0.4 (c) -0.8 (d) 0.3 (e) -3
d
Which is the closest to 1? (a) 0.3 (b) 0.5 (c) -74644/7 (d) -0.3
b
Which is the closest to -5? (a) 1/4 (b) 0.39535 (c) 4
a
What is the nearest to -0.16 in -0.5, 2/69, -641?
2/69
Which is the closest to -0.0604? (a) -0.2 (b) 0.6 (c) -0.0294
c
What is the closest to -1 in 1/2, 0, 0.2011, -1?
-1
What is the nearest to -37 in 0, 446, 1/34, 4?
0
Which is the closest to -1/2? (a) -6 (b) -7 (c) -0.4 (d) -0.04 (e) -426/7 (f) 4/5
c
Which is the closest to 0.03? (a) -585 (b) 4/5 (c) 7 (d) 1/6 (e) 5
d
What is the nearest to 0.01 in -55, -1/5, -2/21, -124?
-2/21
Which is the closest to -0.027? (a) 9/7 (b) 164 (c) 137
a
Which is the closest to 0.13? (a) -6 (b) -1/6 (c) -9 (d) 0.43
b
Which is the nearest to 0.1249? (a) -1/2 (b) -17.8 (c) -4 (d) 1/10
d
What is the nearest to -13 in -155, 1/4, 114, -46?
1/4
Which is the closest to -109? (a) -223 (b) -3 (c) -2/211 (d) -1 (e) -2
b
What is the nearest to -514 in 5, -0.06, 47, 1?
-0.06
What is the closest to 1/4 in -1353, -8, 5, 0?
0
Which is the closest to 2/5? (a) -129 (b) 12 (c) 43 (d) -17 (e) -2/11
e
What is the closest to 277 in 27, -0.4, 0.3, 0.088, -3?
27
What is the closest to 3 in -2, 0, 0.06, -5, -3/4?
0.06
Which is the nearest to 7? (a) 0.119 (b) 4 (c) 0.64 (d) 0.3 (e) 0 (f) -3
b
What is the nearest to -0.4 in -2, 2/5, -509, 539, 3/5?
2/5
What is the nearest to 13 in -2, 8/7, 108/209?
8/7
What is the closest to 10/19 in -3/2, -0.3, -4, -26, 0, 3?
0
What is the closest to 3 in 2/9, -29, -0.5, 0.5, 84, -2/7?
0.5
Which is the closest to 11? (a) -13 (b) 2/25 (c) -566 (d) 0 (e) -1
b
What is the closest to 1/4 in -14875, -183, 0.1?
0.1
What is the closest to -1 in -0.2, -0.7, 8, -7/125, -9?
-0.7
What is the nearest to 2 in 1, 4/5, 3/4, 4/41, -4/7?
1
What is the nearest to -0.8 in -317, 4, 3/5, 0, -5?
0
Which is the nearest to 0? (a) 4/3 (b) 16 (c) 4/3471
c
What is the nearest to -0.1 in -0.13, 4, 164, -0.372, -4/3, -2?
-0.13
Which is the closest to 0.36? (a) -1/3 (b) 23 (c) 0.5 (d) -212 (e) -0.5 (f) 3.4
c
Which is the nearest to 0.2? (a) 5 (b) -0.18 (c) 0.3 (d) -4 (e) -1/5 (f) 5997
c
What is the closest to 1/4 in 488, 1, -25015?
1
Which is the nearest to -2? (a) -29.95 (b) -7 (c) -0.053 (d) -0.07 (e) -4
d
What is the closest to -1294 in -3/2, -319, 8/3?
-319
What is the nearest to -15 in -9.5, 5, 3, 0.3, -1.9, -2?
-9.5
What is the closest to -61 in -0.3, 139/5, -23?
-23
What is the nearest to -2 in 16, -1.07, -0.12?
-1.07
What is the nearest to -39 in 0.1, 5, -6, 38469?
-6
What is the closest to 10 in 6, -4120, -24, -5?
6
What is the closest to 2708 in 0.1, 0.05, -5, 4?
4
What is the nearest to 14 in -0.2, 5, 0.431, -3?
5
Which is the closest to -9/2? (a) -0.4 (b) -2.639 (c) -1/12
b
What is the closest to 0.04 in -13, -1591, -1/3, -0.007, 5?
-0.007
Which is the nearest to 2/171? (a) 2 (b) 101 (c) -155 (d) 0 (e) 1/2 (f) 4
d
What is the nearest to 0.2 in 4, -0.55, 0.09428?
0.09428
Which is the closest to 0? (a) 427 (b) 3/7 (c) 1090
b
Which is the closest to -635? (a) 5 (b) 0.03 (c) 0.06 (d) -0.2 (e) 3/4 (f) -0.1
d
What is the closest to 1/2 in 0.15, -4.6, 25/143?
25/143
Which is the nearest to -0.3197? (a) 5 (b) 13 (c) -1 (d) -1/3
d
What is the nearest to 41 in 12, 313, -2/91?
12
What is the nearest to 1/3 in 9.8, -68, 2/5, -0.4?
2/5
What is the nearest | {
"pile_set_name": "DM Mathematics"
} |
.
-1560*y**2
Differentiate -21 - 2 - 2 - 20*z**2 with respect to z.
-40*z
Find the second derivative of -6*d**4 - 30*d**4 - 4*d - 3*d - 18*d wrt d.
-432*d**2
Let t(y) be the second derivative of y**3/3 - y**2 - 2*y. Let w be t(4). What is the second derivative of w - 6 - 3*r - 3*r**5 wrt r?
-60*r**3
Differentiate -31*a + 21*a + 10*a - 2*a**4 - 13 wrt a.
-8*a**3
Find the third derivative of 22*k**2 - 11*k**4 - 15*k**2 + 23*k**2 + 4*k**2 wrt k.
-264*k
Find the second derivative of -11*y + 604*y**3 + 7*y**5 - 604*y**3 wrt y.
140*y**3
What is the third derivative of 2*q**4 + q**2 - q**4 + q**4 - 14*q**2 wrt q?
48*q
What is the second derivative of -u**3 + 33*u - 28*u + 0*u**2 + 0*u**2 wrt u?
-6*u
Find the first derivative of -11 - 5*d + 4*d**2 + 5*d - 2 wrt d.
8*d
Let z(m) = 130*m**3 + 11*m**2 + 11*m + 4. Let y(c) = 26*c**3 + 2*c**2 + 2*c + 1. Let t(p) = -11*y(p) + 2*z(p). Differentiate t(r) wrt r.
-78*r**2
Let g(m) be the third derivative of 0*m + 0*m**6 + 1/2*m**3 + 2/105*m**7 + 4*m**2 + 0 + 0*m**5 + 0*m**4. Differentiate g(i) with respect to i.
16*i**3
Let a(j) be the first derivative of 5*j**2 - 10*j + 3. Let l(b) = 2*b - 2. Let q(c) = -3*a(c) + 14*l(c). What is the derivative of q(k) wrt k?
-2
Let t(y) be the second derivative of 6*y + 7/2*y**2 + 0*y**4 + 1/5*y**6 + 0 + 0*y**3 + 0*y**5. What is the first derivative of t(v) wrt v?
24*v**3
Find the third derivative of 6*w**3 + 12*w**2 - 8*w**2 - 21*w**2 wrt w.
36
Let y(q) = q**3 - q**2 + q. Let u(a) = 3*a**3 - 27*a**2 + 7*a - 4. Let i(c) = -u(c) + 6*y(c). What is the second derivative of i(n) wrt n?
18*n + 42
Let d(k) be the second derivative of -8*k**6/15 - 13*k**2/2 + k. Differentiate d(p) wrt p.
-64*p**3
Let x(c) = -c**3 + 4*c**2 - c - 2. Let g be x(2). Suppose -5*v + 15 = -2*v, -27 = -g*f - 3*v. What is the first derivative of 1 + h + f*h - 2*h wrt h?
2
What is the derivative of 12 + 0*d + 2*d - 10 wrt d?
2
Let k(i) be the first derivative of 13*i**3/3 - 5*i + 17. What is the derivative of k(j) wrt j?
26*j
Let j(s) be the third derivative of -s**8/6720 - s**6/360 + s**4/24 + s**2. Let y(z) be the second derivative of j(z). Find the second derivative of y(h) wrt h.
-6*h
Let c(k) be the first derivative of -5*k**3/3 - 13*k - 1. Differentiate c(o) with respect to o.
-10*o
Let t = -83 + 86. Let f(q) be the second derivative of 2/15*q**6 + 0*q**2 + 0*q**5 + 1/6*q**4 + 0*q**t + 2*q + 0. Find the third derivative of f(s) wrt s.
96*s
Let x(r) = r**3 + 6*r**2 - r - 4. Suppose 0 = 4*g + c + 23, -g - 2*c - 3*c = 1. Let b be x(g). Find the second derivative of -12 - 2*k**5 + 12 + b*k wrt k.
-40*k**3
Let p be 1*-1 - 44/(-11). Find the third derivative of 6*a**2 - a**2 - 3*a**2 + p*a**6 wrt a.
360*a**3
Differentiate 2 + 6 - 3*r - 12 with respect to r.
-3
Let s(a) = -4*a**3 + 5*a**2. Let g(x) = -x**2. Let w be (-1)/(1/(-4)) - 3. Let v = 3 - w. Let d(l) = v*g(l) + s(l). Find the third derivative of d(n) wrt n.
-24
Let s(u) = 17*u**4 - 5*u**3 - 5*u**2 - 19*u. Let o(d) = 16*d**4 - 4*d**3 - 4*d**2 - 18*d. Let k(j) = -5*o(j) + 4*s(j). Find the second derivative of k(z) wrt z.
-144*z**2
Suppose -g - 8 = 3*g. Let k(p) = p**2 - 3*p + 7. Let b(h) = -6*h + 0 + 1 + 1 + 5*h. Let w(f) = g*k(f) + 7*b(f). What is the second derivative of w(t) wrt t?
-4
Let j(i) = i**3 - 2*i + 4. Let y(q) = -5*q**3 + 9*q - 17. Let o(z) = 18*j(z) + 4*y(z). Differentiate o(b) wrt b.
-6*b**2
Let q(n) = -11*n**2 - 31*n. Let s(k) = -12*k**2 - 31*k. Let c(a) = -6*q(a) + 5*s(a). Find the second derivative of c(l) wrt l.
12
Let a(j) be the third derivative of -3*j**8/56 - 29*j**5/60 + 9*j**2. What is the third derivative of a(v) wrt v?
-1080*v**2
Let i be ((-2)/3)/(4/(-12)). What is the third derivative of z**i + z**2 - 4*z**2 - 4*z**4 wrt z?
-96*z
Suppose -2*k + 3*k - 3 = 0. Find the second derivative of 16*m**3 - 6*m**5 - 16*m**k - 3*m wrt m.
-120*m**3
Find the second derivative of v**3 - 13*v - 8*v + 4*v**3 + v**3 wrt v.
36*v
Let s(r) be the second derivative of -2*r**6/15 - 3*r**2/2 + 25*r. What is the derivative of s(x) wrt x?
-16*x**3
Let o(r) be the first derivative of -20*r**3/3 + r**2 + 31*r + 10. Find the second derivative of o(j) wrt j.
-40
Let g(q) = 1 - 6 + 3*q**3 + 1 - 2*q**2. Let n(s) = 13*s**3 - 9*s**2 - 16. Let y(f) = -9*g(f) + 2*n(f). What is the first derivative of y(a) wrt a?
-3*a**2
What is the third derivative of -160*t**6 + 10*t**2 + 4*t**2 + 137*t**6 + 21*t**2 wrt t?
-2760*t**3
Let h(l) = -15*l**3 + 5*l - 35. Let o(b) = -22*b**3 + 8*b - 53. Let m(u) = -8*h(u) + 5*o(u). Differentiate m(j) with respect to j.
30*j**2
Let g(a) = -a**3 - 5*a**2 - 4*a - 3. Let x be g(-4). Let m(y) = y**2 + 2*y - 3. Let o be m(x). What is the second derivative of o*b**4 + 0*b + b + 2*b**4 wrt b?
24*b**2
What is the second derivative of 930*p - 16*p**5 - 12*p**5 - 915*p wrt p?
-560*p**3
What is the first derivative of -5 - 5 - 5*o**2 + 1 + 8*o**2 wrt o?
6*o
What is the third derivative of -8*p**4 - 17*p**2 + p**4 - 285*p**3 + 285*p**3 wrt p?
-168*p
Let h(q) be the third derivative of 11*q**8/112 + 17*q**4/24 + 17*q**2. Find the second derivative of h(b) wrt b.
660*b**3
Differentiate -10*v**3 + 3*v**2 + 11 - 9 - 3*v**2 wrt v.
-30*v**2
Let d(t) be the second derivative of -t**6/360 + t**5/24 - t**4/4 - 6*t. Let m(s) be the third derivative of d(s). What is the first derivative of m(k) wrt k?
-2
Let u be 0 + 5*2/200. Let l(n) be the second derivative of 2*n + 0 - u*n**5 + 0*n**3 + 0*n**4 - n**2. What is the first derivative of l(y) wrt y?
-3*y**2
What is the derivative of 544 - 283 + 27*r - 290 wrt r?
27
Let o(f) be the first derivative of -f**6/30 - f**4/6 - f - 2. Let d(u) be the first derivative of o(u). What is the third derivative of d(m) wrt m?
-24*m
Suppose 5*d = 8 + 17. Find the third derivative of 8 + 3*l**2 - 8 + 4*l**2 - 6*l**d wrt l.
-360*l**2
Let q(c) be the third derivative of 7*c**5/60 + 5*c**3/3 + 8*c**2. What is the derivative of q(u) wrt u?
14*u
Let o(q) be the first derivative of q**3/3 + 10*q**2 + 19. What is the second derivative of o(r) wrt r?
2
Let t(g) be the second derivative of g**5/30 + g**3/6 + g**2/2 - g. Let w(o) be the first derivative of t(o). What is the derivative of w(r) wrt r?
4*r
Let f(l) = -2*l - 4. Let o be f(-3). Find the third derivative of 15*z**3 + 4*z**2 - 14*z**3 - 3*z**o wrt z.
6
Let h(r) = -9*r - 7. Suppose 6 = -2*x - 0*x. Let a(b) = -4 + 2 + 6 + 5*b. Let p(u) = x*h(u) - 5*a(u). What is the derivative of p(f) wrt f?
2
Let b = 0 - 7. Let x = -6 - b. Differentiate -r + 5*r - x - 5*r + 3*r with respect to r.
2
Let v be (-1 + 1)/(-5 - -6). Suppose k + v*k - 2 = 0. Find the third derivative of -4*l**3 - 3*l**3 + 4*l**3 - 4*l**k + 0*l**3 wrt l.
-18
Let t(p) = -2*p**2 + p + 8. Let o(n) = -n. Let f(r) = -o(r) - t(r). Find the first derivative of f(k) wrt k.
4*k
Let h be (3 + -2)*0 + 4. Find the third derivative of -2*v**2 - v**2 + 3*v**2 + 3*v**2 - h*v**5 wrt v.
-240*v**2
Let m(u) be the third derivative of -13*u**5/20 + 5*u**4/6 + 34*u**2. What is the second derivative of m(y) wrt y?
-78
Let n(w) = 3*w**4 - 6*w**2 + 1. Let u(x) = -7*x**4 + 13*x**2 - 2. Let t be -4*3/(-18)*9. Let d(l) = t*u(l) + 13*n(l). What is the derivative of d(a) wrt a?
-12*a**3
Let d be -11 + 11 - 4/(-10). Let x(j) be the first derivative of d*j**5 + 0*j + 0*j**4 + 1 + 1/3*j**3 + 0*j**2. What is the third derivative of x(f) wrt f?
48*f
Let t be (0 + -1)/(-2 + 1). Differentiate -t + 2 - 2*h**2 - 1 + 1 wrt h.
-4*h
Let s(l) = -l + 20. Let q be s(17). Let m(r) be the second derivative of -1/6*r**4 + 0*r**q - 1/2*r**2 - r + 0. What is the derivative of m(c) wrt c?
-4*c
Let o(s) be the third derivative of -3*s**2 + 0*s + 1/8*s**4 - 1/3*s**3 + 0. Differentiate o(r) with respect to r.
3
Suppose 4*h - 14 = -2. Suppose 9*x - 7 = -4*s + 4*x, s - h*x - 6 = 0. Find the second derivative of g**3 + g**s + 3*g - g wrt g.
12*g
What is the second derivative of 6*i - 6*i**2 + 5*i**2 + 1 - 1 wrt i?
-2
What is the second derivative of -6*y - 3*y**5 - y - 6*y wrt y?
-60*y**3
What is the second derivative of 10*m**2 + m**2 + 4*m + 2*m**2 wrt m?
26
Let f be 1/1 + 8/(-8). Let s(p) be the first derivative of -2*p + 0*p**3 + f*p**2 - 2/5*p**5 + 2 + 0*p**4. Differentiate s(m) with respect to m.
-8*m**3
Differentiate -16*c**2 + 6 - 2 + c**2 - c**2 with respect t | {
"pile_set_name": "DM Mathematics"
} |
d(w) = 2*w. Determine d(l(j)).
4*j**2
Let d(v) = v. Let j be d(3). Let z(x) = 3 - 3 - 4*x + j*x. Let u(m) = -3*m + 2. Let r(w) = -4*w + 3. Let l(i) = 2*r(i) - 3*u(i). Calculate l(z(b)).
-b
Let t(b) = -5*b**2 - 2*b. Let c(p) = 11*p**2 + 5*p. Let k(a) = 2*c(a) + 5*t(a). Let g(q) = 2*q. Give k(g(s)).
-12*s**2
Let q(o) = -o - 125. Let y(w) = 3*w**2. Calculate y(q(g)).
3*g**2 + 750*g + 46875
Let v(n) = 3*n. Suppose 2*w = -3*w. Let q(g) = 0*g + w*g + g. Give v(q(d)).
3*d
Let p(m) = -2*m. Let z(c) = -410*c. Give p(z(u)).
820*u
Let n(t) = 11*t. Let b(y) = -5*y + 9. Let q(m) = -m + 2. Let l = -11 + 2. Let s(i) = l*q(i) + 2*b(i). Give s(n(g)).
-11*g
Let n(v) = 2*v**2. Let q(l) = 61*l + 7. Let t(b) = 41*b + 5. Let d(o) = -5*q(o) + 7*t(o). Give n(d(u)).
648*u**2
Suppose -3*d - p = -10, -6 = -d - 0*d - 3*p. Let g(y) = 12*y - 5*y + d*y. Let b(t) = -t**2. What is g(b(u))?
-10*u**2
Let v(f) = 32*f + 2. Let n(o) = -4*o. Calculate n(v(w)).
-128*w - 8
Let t(d) be the first derivative of -d**3 + 1. Let s(v) be the second derivative of v**3 + 4*v. Let n(k) = -k. Let x(f) = 11*n(f) + 2*s(f). Calculate x(t(p)).
-3*p**2
Let c(v) = -v**2 + v - 1. Let q(g) = -5*g**2 + 4*g - 4. Let j = 13 + -19. Let i = 9 + j. Let n(u) = i*q(u) - 12*c(u). Let b(s) = s**2. Determine n(b(a)).
-3*a**4
Let o(p) = -2*p**2. Let l(m) = m**2 + m + 1. Let b(d) = -67*d**2 - 6*d - 6. Let w(y) = -b(y) - 6*l(y). Determine o(w(h)).
-7442*h**4
Let x(h) = -13*h + 18*h - 6*h - 10*h. Let f(p) = -3*p**2. Determine f(x(a)).
-363*a**2
Let a(m) = 6*m. Let b(d) = -d**2. Determine a(b(w)).
-6*w**2
Let c(w) be the second derivative of 0 - 1/12*w**4 + 5*w + 0*w**3 + 0*w**2. Let s(f) = -3*f**2. Calculate c(s(b)).
-9*b**4
Let b(c) = 2*c. Let f(y) be the first derivative of y**3/3 - 7*y**2/2 - 2. Determine b(f(q)).
2*q**2 - 14*q
Let l(p) = 2*p - 3. Let i(h) = 5*h - 8. Let w(u) = 3*i(u) - 8*l(u). Let d(t) = 2*t + 2*t - 5*t. Calculate d(w(f)).
f
Let h(w) = 2*w. Let g(b) = b - 1. Let v(o) = -3*o**2 - 2*o + 2. Let f(x) = -2*g(x) - v(x). Determine h(f(p)).
6*p**2
Let m(l) = 2*l**2. Let n(j) = 4*j**2 - 3*j - 8. Let c(k) = -k - 1. Let b(d) = -3*c(d) + n(d). What is m(b(s))?
32*s**4 - 80*s**2 + 50
Let i(y) = 3*y**2. Let k = 3 - -1. Let c(d) = -d**2 + d. Let p(h) = 6*h**2 - 4*h. Let z(s) = k*c(s) + p(s). What is i(z(l))?
12*l**4
Let f(h) = 21*h. Let x(s) be the second derivative of -s**4/12 - 19*s. What is x(f(m))?
-441*m**2
Let x(a) = 2*a. Suppose 4*n - 2*v = 4, -4*n + 0*v + 20 = 2*v. Let y(q) = -n*q - 2*q - 2*q + 2*q. What is y(x(m))?
-10*m
Let l(i) = 3*i. Let u(x) = 7*x**2 + 3. What is l(u(c))?
21*c**2 + 9
Let b = 8 + -8. Let s(h) = 2*h + b*h - h. Let o(j) = -j. Calculate s(o(n)).
-n
Let i(u) = -3*u. Let l(q) be the third derivative of q**4/24 + 2*q**2. Let f(d) = 2*i(d) + 5*l(d). Let n(v) = -v. Calculate f(n(j)).
j
Let l(r) = 16*r. Let m(s) = -2*s**2 - 7*s - 7. Let p(z) = -z**2 - 5*z - 5. Let n(k) = 5*m(k) - 7*p(k). Determine n(l(x)).
-768*x**2
Let z(h) = -2*h**2. Let u(q) = 476*q - 6. Determine u(z(g)).
-952*g**2 - 6
Let z(v) = -v**2 - 5*v - 4. Let s be z(-3). Let p(m) = -m - s*m - m. Let x(o) = -o**2. Give x(p(l)).
-16*l**2
Let h(m) = -6*m**2. Let c(i) = -10*i**2. Let w(s) = 4*c(s) - 7*h(s). Let t(g) be the first derivative of 8*g**3/3 + 1. Calculate w(t(k)).
128*k**4
Let d(l) = -2*l. Let f(i) = -14*i**2 + 5*i. What is f(d(n))?
-56*n**2 - 10*n
Let r(o) = 7*o**2. Let y(t) be the second derivative of -t**6/720 + t**4/3 + 2*t. Let z(a) be the third derivative of y(a). What is r(z(v))?
7*v**2
Let c(z) = -z**2 + 33. Let b(u) = 2*u**2 + 35. Determine c(b(g)).
-4*g**4 - 140*g**2 - 1192
Let t(v) = 8*v - 21*v + 14*v**2 + 13*v. Let z(c) = 2*c. Determine z(t(j)).
28*j**2
Let j(h) = 9*h**2. Let x(v) = -661*v**2. What is x(j(u))?
-53541*u**4
Let y(s) = -2*s. Let i(q) = -q**2 - q + 1. Let p(n) = -4*n**2 - 3*n + 3. Let a(j) = -3*i(j) + p(j). Calculate y(a(x)).
2*x**2
Let t(n) be the second derivative of 0*n**2 + 0 + 2*n + 1/3*n**3. Let u(p) be the third derivative of -p**5/20 + 7*p**2. Determine u(t(h)).
-12*h**2
Let y(u) = 9 - 9 - u. Let j(l) be the third derivative of 11*l**5/60 - 9*l**2. Determine j(y(v)).
11*v**2
Let r(d) be the third derivative of d**4/24 - 14*d**2. Let k(p) = -3*p**2 + 4. Let s(j) = -4*j**2 + 3. Let v(x) = -3*k(x) + 4*s(x). Determine r(v(c)).
-7*c**2
Let m(z) = 7*z. Suppose -1 - 9 = -5*y. Let x(w) = -y*w + 9*w - w. Let g(t) = 5*m(t) - 6*x(t). Let l(h) = 2*h**2. What is l(g(n))?
2*n**2
Let w(t) = -t + 5*t - 6*t - 3*t. Let l(m) = -4*m. Give w(l(a)).
20*a
Let c(g) = -7*g + 5*g + 3*g. Let k = -4 - -7. Let v(t) = t**2 + 3*t - k*t. What is c(v(p))?
p**2
Let q(k) = -5*k**2. Let j = -4 + 4. Suppose j = -5*t - 5 - 10. Let z(r) = 2*r**2. Let b(a) = t*q(a) - 8*z(a). Let d(s) = -2*s**2. Calculate d(b(l)).
-2*l**4
Let v(f) = -2*f. Let m(u) = -49*u**2 + 2*u + 4. Determine m(v(z)).
-196*z**2 - 4*z + 4
Let o(s) be the first derivative of 1/2*s**2 - 2 + 0*s. Let r(d) = -10*d**2 - 16*d. Let f(g) = -2*g**2 - 3*g. Let c(z) = 16*f(z) - 3*r(z). What is o(c(a))?
-2*a**2
Let k be (1 - 1)*3/(-6). Let j(p) be the first derivative of -2 + 1/2*p**2 + k*p. Let n(q) = 2*q**2. Determine j(n(y)).
2*y**2
Let q(d) = 47*d. Let o(l) = 17*l**2 - 5*l. Calculate o(q(t)).
37553*t**2 - 235*t
Let p(c) = -5*c**2. Let f(x) = -19*x + 27*x + 4*x**2 - 8*x. What is p(f(m))?
-80*m**4
Let h(z) = z + 500. Let u(m) = -2*m. Determine h(u(f)).
-2*f + 500
Let w(n) = -20*n**2 + 1. Let o(y) = -27*y. Give w(o(m)).
-14580*m**2 + 1
Let t(b) = 15*b. Let m(s) = 443*s**2. Give t(m(y)).
6645*y**2
Let g(c) = -8*c. Let o(y) = 25*y. Determine g(o(x)).
-200*x
Let t(n) = -n**2 - 6*n**2 - n**2. Let g(d) = 8*d**2 + 22*d - 22. Let s(p) = -3*p**2 - 8*p + 8. Let o(q) = 4*g(q) + 11*s(q). Give o(t(k)).
-64*k**4
Let r(z) = 2*z**2. Let p(t) = -17*t + 6*t - 24*t. Determine r(p(q)).
2450*q**2
Let w(s) = s. Let u(d) = 1858*d. Give u(w(y)).
1858*y
Let w(l) = 0 + 5*l**2 + 3*l - l - 7 - l**3. Let a be w(5). Let i(g) = -5*g**2 + a*g**2 + 4*g**2. Let z(p) = -3*p. What is z(i(v))?
-6*v**2
Let o(v) = 4*v**2. Let k(b) = 26*b**2 - 16. Let z(f) = 3*f - 3*f + 3 - 5*f**2. Let q(r) = 3*k(r) + 16*z(r). What is o(q(u))?
16*u**4
Let c(p) = 2*p. Let x(n) be the first derivative of -1/2*n**2 - 3 + 0*n. Calculate c(x(v)).
-2*v
Let j(k) = 5*k**2 + 8*k. Let q(d) = d**2 + 2*d. Let m(h) = -j(h) + 4*q(h). Let x(v) = v**2 - 16*v. Determine m(x(a)).
-a**4 + 32*a**3 - 256*a**2
Let a(y) = -15*y**2 + 2. Let d(z) = 4*z. Calculate d(a(o)).
-60*o**2 + 8
Let s(u) = -u**2. Let b = -1 + -1. Let g = b + 2. Let d(x) = 3*x + g*x - 2*x. Give s(d(i)).
-i**2
Let t(r) = -r**2. Let d(s) = -7*s - 6. Let c(g) = -g - 1. Let h be (1 - 3)/((-3)/(-9)). Let j = 4 - 3. Let b(p) = h*c(p) + j*d(p). Determine t(b(q)).
-q**2
Let i(x) = 6*x. Let o(f) = 404*f. Determine i(o(d)).
2424*d
Let f(k) = -635*k**2 + 2*k. Let l(t) = t. Give f(l(r)).
-635*r**2 + 2*r
Let n(x) = -2*x - x + 5*x. Suppose 2 = -4*k + 6*k. Let j(c) = -c - k + 1. Determine n(j(m)).
-2*m
Let n(t) = -160*t - 7. Let x(v) = -8*v**2. Calculate n(x(c)).
1280*c**2 - 7
Let p(g) = -18*g**2. Let z(d) = -5*d - 9. Let c(q) = q + 2. Let b(w) = -18*c(w) - 4*z(w). Give p(b(r)).
-72*r**2
Let u(i) = -i + 1621. Let h(z) = -4*z**2. Give h(u(d)).
-4*d**2 + 12968*d - 10510564
Let d(p) = -22*p**2. Let o(r) be the third derivative of r**5/60 - 9*r**2. Determine d(o(s)).
-22*s**4
Let b(g) = 1. Let h(d) = -6*d**2 + 1. Let w(o) = -b(o) + h(o). Let y(l) = -2*l. What is w(y(r))?
-24*r**2
Let x(r) = -39*r**2. Let d(a) = -14*a. Calculate d(x(i)).
546*i**2
Let k(o) = -o - 1. Let z(m) = -3*m - 2. Let q(w) = -2*k(w) + z(w). Let p(g) = -g - 3. Let s(t) = -2*t - 8. Let n(r) = 8*p(r) - 3*s(r). Give n(q(u)).
2*u
Let j(d) = 16*d + 11. Let m(x) = -3*x - 2. Let b(k) = -2*j(k) - 11*m(k). Let u(q) = -5*q + 0*q + q. Give b(u(v)).
-4*v
Let u(t) be the second derivative of t**3/2 - 2*t. Let k(p) be the second derivative of 2*p + 0 + 1/6*p**3 + 0*p**2. Give k(u(f)).
3*f
Let i(d) = -3*d**2. Let f(w) = -2*w**2 + 4*w - 4. Let c(y) = -7*y**2 + 11*y - 11. Let g(h) = -4*c(h) + 11*f(h). Give i(g(k)).
-108*k**4
Let y(u) = -u. Let c(z) = z - 3*z**2 - 2*z + z. Determine y(c(s)).
3*s**2
Let v(q) = 1. Let n(f) = 30*f + 6. Let a(k) = -n(k) + 6*v(k). Let b(r) = -2*r**2. Calculate b(a(x)).
-1800*x**2
Let k(a) = a. Let o(v) = -27*v**2 | {
"pile_set_name": "DM Mathematics"
} |
e c(-3). Let m = -1187 - -11881/10. Find the common denominator of m and (-231)/(-18) + (x - 4).
30
Let q be 9/(-3) - 20212/34608. Let i = q - -1/1442. Find the common denominator of i and -35/2.
12
Let f(u) = 20*u**3 + u - 1. Suppose 40 = 5*j + 2*d, 5*j + 3*d - 5 = 3*j. What is the lowest common multiple of j and f(1)?
20
Suppose -37*z = -32*z - 89805. Let w = 287287/16 - z. What is the common denominator of w and 61/2?
16
Let b = 0 + 0. Suppose 2*n - 41 - 117 = b. Find the common denominator of -87/22 and (n/14)/(-1) - -3.
154
Let g = -10 + 9. Calculate the least common multiple of (24/(-60))/(g/15) and 3/2 - 3/6.
6
Let s be (-8)/16 + 17/2. Suppose 6*g = 8*g - s. Suppose -g*v + 3 + 17 = 0. What is the lowest common multiple of v and 11?
55
Let b be 62/14 + 2/5. Let o = -7237/1680 + b. Find the common denominator of 29/6 and o.
48
Let n(t) be the second derivative of -13*t**4/12 + 2*t**3/3 - t**2 - 2*t. Calculate the common denominator of n(2) and (2 - -8 - -4)/((-20)/(-11)).
10
Let s be 1/(-2)*(5 - 59145/(-10)). Let n = 2938 + s. What is the common denominator of n and ((-22)/8)/((-1)/(-9))?
4
Let b = 121665/14 - 8683. What is the common denominator of b and 73/126?
126
Suppose -o - 4 + 9 = 0, -95 = -5*q - 3*o. Calculate the smallest common multiple of q and 2.
16
Suppose 4*x = 2*z + 19 + 21, -4*x = -4*z - 32. Let s be ((-60)/48 - (-3 + -1))*4. Suppose -o - 60 = -s*o. What is the smallest common multiple of o and x?
12
Find the common denominator of 137/240 and 1275/(-20)*(-2)/(-12).
240
Let k(s) = -3*s**2 + 6*s - 1. Let m be k(4). Let h = 18 + m. What is the smallest common multiple of 14 and (-100)/h - (-8)/(-28)?
14
Calculate the least common multiple of 10 and 96*(5/(-10)*9 + 5).
240
Let l(j) = 296*j + 1188. Calculate the least common multiple of l(-4) and 6*2/2 - 1.
20
Let q(x) = 8*x + 15. Let o be q(-6). Calculate the lowest common multiple of ((-2)/(-3))/(-1)*o and 10.
110
Let r = 7 - -1. Suppose -4*c = -5*n - c + 47, 5*c - r = -4*n. Let o(m) = m**2 + 6*m + 8. Calculate the smallest common multiple of o(-6) and n.
56
Suppose 0 = 3*b - 6*b + 24. Let m(c) = 20*c + 40. Let r(w) = -4*w - 8. Let j(f) = -3*m(f) - 16*r(f). What is the least common multiple of b and j(2)?
16
Suppose -2*s + 4*w = -6 + 2, 5*s + 2*w + 14 = 0. What is the common denominator of 36/(-5) + s/(-4) and (3926/(-6795))/(4/25)?
90
Let o = -10/129 - -11276/155445. Let a = 2122/241 + o. Calculate the common denominator of -109/24 and a.
120
Let y = -16/3 + -29/12. Calculate the common denominator of y and (-22)/((9/2)/3).
12
Let m(a) = 847*a + 20. Let g be m(-8). Find the common denominator of 5/2 and g/504 + (-3)/7.
6
Let v = 14801 + -27005. Let m = -169716/89 - -12568243/890. Let i = v + m. What is the common denominator of i and 32/11?
110
Let c = 127 - 83. Let b be c/(-33)*(-138)/8. Let h = -9 + b. What is the least common multiple of h and 12?
84
Let t = 5122/33 - 470/3. What is the common denominator of -91/34 and t?
374
Suppose -57 - 109 = -3*x + 2*t, 5*t - 206 = -4*x. Calculate the least common multiple of 54 and x.
54
Let h = 3 - -7. Let q(z) = 12*z - 26. Calculate the least common multiple of h and q(4).
110
What is the common denominator of 1/5 - (-4901)/520 and (9/6)/(84/(-44))?
56
Let v(z) = -2*z + 4. Let a be v(-2). Let r(j) = 3*j + 20. Calculate the smallest common multiple of 16 and r(a).
176
What is the common denominator of ((-130)/(-468))/((-8)/(-6)) and 127/24?
24
What is the common denominator of 22/7 and (-8)/(-1) + 805/(-69)?
21
Let c = 326 - 506. Let g be (-1019937)/c - 8/12. Let r = g - 5660. Find the common denominator of r and 91/16.
80
Let v be 2/(-4) - 77/14. What is the common denominator of -17/2 and ((-2163)/882)/((-2)/v)?
14
Calculate the least common multiple of 40 and 39/(-13)*84/(-9).
280
Find the common denominator of 10/(-64)*1/50*108 and -73/4.
80
Let r(c) = c**3 - 5*c**2 - 4*c - 8. Let k be r(6). Suppose h - 3*v - v = -33, 2*v = 6. What is the least common multiple of 10 and (-4)/16 - h/k?
10
Let g be (-2 + 16099491/47226)/334. Let k = g - -2/77321. Let m = k + 454/51. What is the common denominator of 95/6 and m?
12
Let i = -711/656 + -35/41. What is the common denominator of 89/2074 and i?
16592
Let d(h) = h**3 - 3*h**2 - 3*h + 4. Suppose 0 = -3*w + 5*p, -2*w + 6*p = 3*p. Suppose w = 2*i - 8. Calculate the smallest common multiple of 16 and d(i).
16
Let f(t) = -21*t - 43. Let c be f(0). Let p be (-3)/3 - (-12 + 0). What is the common denominator of (-4)/(-42)*(c - p) and 9/4?
28
Let z = 108988077052111188325/1869354 + -58302535021246. Let c = -2/54981 - z. What is the common denominator of c and 53/4?
68
Find the common denominator of ((-172)/36 - -4)*(1 - 3) and 44/417.
1251
Let m = -12241883/2175405 - 2/42655. Let v = m - -921/68. Let x = -6/7939 + 1008325/95268. Find the common denominator of v and x.
12
Let x(k) = -25*k + 21. Let w(j) = -12*j + 11. Let p(y) = 13*w(y) - 6*x(y). What is the least common multiple of p(2) and 83?
415
Suppose -7*z - 41 = 43. What is the least common multiple of 3/(-3*1/z) and 20?
60
Let k = -4 + -3. What is the smallest common multiple of (-33)/(-12) + -1*(-3)/12 and (-1 + 4)/(k/(-21))?
9
Let f be ((-9)/(-15))/((-2)/(-60)). Let o be (46/4)/(3/12). What is the common denominator of (-20)/(-30) + o/f and -19/15?
45
Suppose 2*o - 9 = k, 2*o + k - 10 + 3 = 0. Suppose -3*l + 9149 = -o*l. Let u = 128155/14 + l. Calculate the common denominator of -139/12 and u.
84
Suppose 2*w - 3 = 1. Suppose -r - m - 1 = m, 0 = -3*r - m + 12. Calculate the lowest common multiple of r and w.
10
Suppose -2*q - 357 = 1879. Let m = 2167/2 + q. Let g = -2123/6 + 340. What is the common denominator of g and m?
6
Suppose -20 = -35*t + 25*t. Calculate the least common multiple of t and 6.
6
Let d = -2324 - -37161/16. What is the common denominator of d and 101/176?
176
Let x(l) = l**2 + 2*l - 7. Suppose -95*q = -117 - 168. What is the smallest common multiple of x(-5) and q?
24
Suppose -43*k + 7696 = 31*k. Calculate the smallest common multiple of 26 and k.
104
Suppose -3*y - 10 = -8*y. Suppose -y*n + 42 = -42. Suppose -2*r + n = r. What is the smallest common multiple of 16 and r?
112
Suppose 3*u = 5*u. Calculate the common denominator of (-654)/216*3*(-4)/6 and ((-59)/22)/1 - u.
198
Suppose k = -2*s + 12, 2*s - 3*k + k - 6 = 0. Suppose -s = c - 11. Calculate the smallest common multiple of 57 and c.
114
Let j = 77301/15580 - 9/779. Find the common denominator of 95/28 and j.
140
Calculate the common denominator of (-3*(-1)/216)/(32/(-3504)) and -69/52.
624
What is the common denominator of (38/5)/(638/290) and 25/309?
3399
Suppose 3*c - 3*l - 2*l = 27, c - l - 9 = 0. Find the common denominator of (-31)/c*9/27 and -41/21.
189
Let k = -281 + 533. Find the common denominator of (-9)/14*k/8 and -77/8.
8
Let s = 5431/6 + -910. Let n = -6/7 - 277/28. Calculate the common denominator of s and n.
12
Let d = 70173/10 - 7025. What is the common denominator of 73/20 and d?
20
Let d = -195287/20 - -9761. Let l(i) = 3*i + 1238. Let w be l(0). Let f = 13637/11 - w. What is the common denominator of f and d?
220
Let n(j) = j**3 - 16*j**2 - 2*j - 3. Calculate the least common multiple of n(17) and 30.
1260
Let q(d) = 6*d**2 + 180*d + 12. Let t(g) = -g**3 + 2*g**2 + g. What is the smallest common multiple of q(-30) and t(-2)?
84
Let n = -145 - -267/2. What is the common denominator of 87/112 and n?
112
Let q(v) = -2*v**2 + 17*v - 6. Let n be q(5). Let w = n + -27. What is the lowest common multiple of w and (-1)/(0 - -1) + 12?
22
Suppose 4*w - 48 = -0*i + i, -5*i - 160 = -4*w. What is the smallest common multiple of 8 and (-3*6/(-9))/((-2)/i)?
56
Suppose 5*w = 4*v, v + 4*w - 9 = 12. Let p(a) = -v + 0 + 3*a + 0. Calculate the smallest common multiple of p(2) and 6.
6
Let f be 4*1/(-12)*-9. Suppose -f*a = -9*a. Suppose -2*w - w + 120 = a. What is the smallest common multiple of w and 6?
120
Find the common denominator of 80/(-66)*(-312)/1820 and -50/3.
231
Suppose -1 = -x + 3. Suppose y = -5*u - 15, 3*y - 1 - 11 = x*u. Suppose y = -0*g - 4*g + 80. Calculate the lowest common multiple of g and 6.
60
Let l be -2 + 3/24*1846. Let u = -1757/8 + l. Calculate the common denominator of 43/50 and u.
200
Let b(h) = 3*h**2 - 39*h + 248. What is the | {
"pile_set_name": "DM Mathematics"
} |
) = 182*s. Let k(v) = -2*v**2. Calculate k(g(j)).
-66248*j**2
Let i(d) = -14*d. Let l(w) = w + 2. Let q(j) = -4*j - 7. Let h(z) = 7*l(z) + 2*q(z). Calculate i(h(f)).
14*f
Let m(n) = -n. Let b(s) = -2331*s**2. Calculate m(b(t)).
2331*t**2
Let f(g) = 4*g**2. Let a(q) be the third derivative of -q**5/20 + q**2. Give a(f(j)).
-48*j**4
Let j(y) = -18*y. Let z(p) = 10*p**2. Give j(z(o)).
-180*o**2
Let x(r) = 4*r - 4*r + 4*r. Let s(o) = 8*o. Determine s(x(q)).
32*q
Let c(x) = x**2. Let f(m) = 59*m**2 + 5*m + 5. Let o(y) = 1269*y**2 + 108*y + 108. Let a(j) = 108*f(j) - 5*o(j). Determine a(c(u)).
27*u**4
Let o be (-1)/(-3)*3*4. Let n(j) = o - 2 - 2 - 3*j. Let a(m) = 2*m. What is n(a(t))?
-6*t
Let l(q) = -3*q - 4*q + 8*q + q. Let p(j) = 14*j. Give l(p(i)).
28*i
Let o(s) = 5*s. Let q(g) = g. Determine o(q(b)).
5*b
Let c(p) = 3*p**2. Let z(y) = -4*y + 2. Let w(b) = -5*b + 3. Let h(j) = -4*w(j) + 6*z(j). Determine c(h(m)).
48*m**2
Let o(t) = -665*t**2. Let l(q) = 11*q. Calculate l(o(g)).
-7315*g**2
Let d(z) = 3*z + 76. Let p(i) = -i**2. Determine d(p(h)).
-3*h**2 + 76
Let c(k) = -2*k. Let a(l) be the second derivative of 5*l**3/6 - 2*l. Calculate a(c(m)).
-10*m
Let v(h) be the first derivative of -h**5/15 + h**2/2 + 2. Let x(k) be the second derivative of v(k). Let c(l) = -l**2. Calculate c(x(i)).
-16*i**4
Let s(o) = o. Let x = 0 + -3. Let h(v) = -4*v**2 + 3*v + 3. Let p(m) = 11*m**2 - 8*m - 8. Let y(r) = x*p(r) - 8*h(r). Calculate s(y(t)).
-t**2
Let b(f) = 13*f**2. Let i(r) = 11*r. Calculate b(i(k)).
1573*k**2
Let n(z) = 3*z**2. Let q(j) = -6*j + j + 0*j. What is q(n(k))?
-15*k**2
Let m(d) = d**2. Let c(j) = -11947*j. Calculate m(c(u)).
142730809*u**2
Let l(d) = -2*d**2. Let q(y) = -11*y**2 + 3. Let h(n) = -23*n**2 + 7. Let k(m) = 3*h(m) - 7*q(m). Determine k(l(w)).
32*w**4
Let q(r) be the second derivative of r**4/3 + r. Let b(m) = -57*m**2 + 28*m**2 + 26*m**2. Give b(q(g)).
-48*g**4
Let f(s) = -10*s. Let u(w) = -8 + 2*w**2 + 8. What is f(u(h))?
-20*h**2
Let m(a) = -a. Let r(k) be the third derivative of 1/24*k**4 + 0 + 0*k + 0*k**3 - 2*k**2. What is r(m(c))?
-c
Let f = 12 - 10. Let h(u) = -2*u**f - u**2 + 2*u**2 + 3*u**2. Let n(j) be the third derivative of -j**5/30 - 4*j**2. Calculate h(n(o)).
8*o**4
Let o(g) = -21*g**2 + 6. Let l(f) = 21*f**2 - 5. Let c(b) = 6*l(b) + 5*o(b). Let q(a) = -2*a**2. What is q(c(x))?
-882*x**4
Let w(t) = t**2. Let q(p) = 47*p - 26*p - 22*p. Give q(w(m)).
-m**2
Let b(r) = -r. Suppose 0*y - 27 = -y + 5*g, -g = 2. Let l(k) = 9*k + 6. Let s(u) = -26*u - 17. Let x(t) = y*l(t) + 6*s(t). Give b(x(i)).
3*i
Let h(a) = a**2 - 61*a. Let q(w) = 11*w**2. What is h(q(z))?
121*z**4 - 671*z**2
Let q(s) = -4*s + 6*s - 2*s**2 - 2*s. Let h(v) = -38*v. Determine q(h(y)).
-2888*y**2
Let i(s) = 12*s**2 + 2*s. Let n(t) = -120*t**2 - 21*t. Let c(o) = 21*i(o) + 2*n(o). Let w(v) = v. Determine c(w(m)).
12*m**2
Let k(n) = 0*n**2 - 14 + 14 + 3*n**2. Let z(b) = 3*b. Determine z(k(t)).
9*t**2
Let q(x) = 2*x**2 - 40*x. Let f(y) = 38*y. Determine q(f(o)).
2888*o**2 - 1520*o
Let d(x) = -8*x**2 + 4*x. Let m(r) = -r. Calculate m(d(w)).
8*w**2 - 4*w
Let p = 25 + 14. Let l(n) = -5*n - p + 39. Let k(b) = 2*b. Calculate l(k(z)).
-10*z
Let c(d) = d**2. Let g(x) = -5*x + 709. Determine g(c(r)).
-5*r**2 + 709
Suppose 0*u + 3*u = 3. Let m(g) = -2 + 1 - 2*g + u. Let k(a) = -2*a. Determine m(k(t)).
4*t
Let t(b) = -2*b**2. Let q(r) = r**3 + 7*r**2 - 9*r - 3. Let a be q(-8). Let s be (1 - 2/a)*5. Let z(f) = -f + s*f + 3*f + 0*f. Give t(z(j)).
-50*j**2
Let i(s) be the first derivative of 1/2*s**2 + 0*s - 4. Let p(n) be the second derivative of -n**3 - 2*n. What is p(i(d))?
-6*d
Let o(f) = -f**2 - 9*f - 5. Let n be o(-8). Let p(t) = -t**2 - 2 + n - 1. Let r(i) be the second derivative of i**3/6 + i. Give p(r(u)).
-u**2
Let p(k) be the second derivative of -k**3/3 + 2*k + 6. Let i(b) = 2*b + 10. Determine i(p(x)).
-4*x + 10
Let k(c) = -3*c. Let w(x) = x**2 - 7*x + 2. Let f be w(7). Let r(m) be the first derivative of -1 + 0 + f*m**2 - m**2. Give r(k(j)).
-6*j
Let w(k) = -2*k. Suppose -4*r = 5*h + 2, -5*h = r + r + 6. Let v(a) = 14 - a**2 - 14 - 4*a**r. Give w(v(s)).
10*s**2
Let m(f) = -f. Let i(g) = -5*g. Let n(h) = 3*h. Let w(k) = -4*i(k) - 5*n(k). Give m(w(u)).
-5*u
Let y(a) = 72*a**2. Let k(s) = 37*s. Determine k(y(t)).
2664*t**2
Let y = -1 + 3. Suppose y = 4*c - 10. Let b(m) = -3 + c - 3*m**2. Let z(x) = 3*x**2. What is b(z(d))?
-27*d**4
Let q(m) = 2*m**2. Let g(k) be the second derivative of 7*k**4/12 - 5*k**3/6 - 2*k. Let s(i) = -4 + 4 + 2*i - 3*i**2. Let t(l) = 2*g(l) + 5*s(l). Give q(t(b)).
2*b**4
Let h(r) = -r - 6. Let z(f) be the third derivative of f**4/24 - 36*f**2. Give z(h(d)).
-d - 6
Let x(d) = -35*d. Let f(y) = -5*y. Let v(w) = -15*f(w) + 2*x(w). Let t(q) = 5*q. Determine v(t(z)).
25*z
Let u = -11 - -13. Let f(h) = 2*h**u + h**2 - 6*h**2. Let r(j) = 2*j. Give r(f(x)).
-6*x**2
Let d(g) = 2*g**2 + 14. Let q(p) = -6*p - 5. Let v(o) = 14*o + 12. Let t(r) = 12*q(r) + 5*v(r). Determine d(t(j)).
8*j**2 + 14
Let n(u) = 22*u**2 + 4*u + 4. Let i(x) = -22*x**2 - 5*x - 5. Let j(l) = -4*i(l) - 5*n(l). Let h(a) = -2*a. What is h(j(t))?
44*t**2
Let v(q) = -293*q**2. Let l(o) = -o**2. Determine v(l(z)).
-293*z**4
Let i(u) = 6*u. Let v(w) = -39*w**2 - 28. Calculate v(i(o)).
-1404*o**2 - 28
Let a(f) = -f. Let y(s) = -3*s - 5. Let t(l) be the first derivative of -5*l**2 - 16*l + 1. Let i(j) = 5*t(j) - 16*y(j). Determine i(a(k)).
2*k
Let m(y) = 3*y**2. Let t(l) = -3*l - 2*l + l + 6*l. What is t(m(s))?
6*s**2
Let b(j) be the third derivative of 0*j**3 + 0*j + 0 - 1/12*j**4 + j**2. Let n(u) = -2*u. Give n(b(k)).
4*k
Let i(c) = c. Let g(m) be the second derivative of 0*m**3 - m - 1/6*m**4 + 0*m**2 + 0. Calculate g(i(w)).
-2*w**2
Let f = 39 + -23. Suppose 3*o + o = f. Let u(g) = -o*g - g + g. Let z(p) = -p. Determine u(z(q)).
4*q
Let p(t) be the second derivative of 0*t**2 + 0 - 4*t + 1/4*t**4 + 0*t**3. Let d(u) = 4 - 4 - u. Determine d(p(z)).
-3*z**2
Let n(m) = 10*m**2. Let o(p) = -3*p + 8. Calculate n(o(f)).
90*f**2 - 480*f + 640
Let p(t) = 8*t. Let b(u) = -10*u + 16. Let r(o) = -3*o + 5. Let g(v) = -5*b(v) + 16*r(v). Calculate p(g(z)).
16*z
Let g(p) = 0 + 3*p + 0. Let c(o) be the first derivative of -7*o**2/2 + 5*o + 4. Let m(i) = -3*i + 2. Let w(a) = 2*c(a) - 5*m(a). Determine w(g(q)).
3*q
Let b(f) = -28*f - 10*f + 24*f. Let g(d) = 5*d**2. Determine g(b(n)).
980*n**2
Let x(d) = 2*d - 16. Let k(c) = -c**2 + c**2 - c**2. What is k(x(t))?
-4*t**2 + 64*t - 256
Let s(c) = 16*c. Let q(o) = -872*o**2. Calculate q(s(m)).
-223232*m**2
Let p = -13 - -34. Let o(k) = p*k - 3*k**2 - 21*k. Let d(c) = -2*c. Give d(o(y)).
6*y**2
Let u(s) be the first derivative of -s**2 - 1. Let t(l) = 10*l**2 + 16*l**2 + 15*l**2 - 43*l**2. Determine t(u(r)).
-8*r**2
Suppose -3*g + 0*n - 2*n = -10, 0 = -4*g - 5*n + 18. Let q(i) = -i + g - 2 + 5*i. Let l(x) = -3*x. Determine q(l(h)).
-12*h
Let q(g) = -3*g**2. Let w(o) = 14*o + 11*o + 2*o**2 - 25*o. Calculate w(q(j)).
18*j**4
Suppose 0 = 5*h + 5, -17 = -5*g + 5*h + 8. Let p(x) = 7 - 3 + x**2 - g. Let l(c) be the third derivative of -c**4/24 - c**2. What is l(p(z))?
-z**2
Let d(l) = 6266*l**2. Let j(s) = s. Determine j(d(a)).
6266*a**2
Let g(c) be the first derivative of c**3/3 + c**2/2 + 3. Let m(i) = 2*i**2 + 4*i. Let x(t) = 4*g(t) - m(t). Let a(z) = -3*z. Determine a(x(s)).
-6*s**2
Let x(s) = -s**2 - 5*s. Let n(k) = 6*k**2 + 3*k. Let b(a) = 5*a**2 + 2*a. Let v(i) = 7*b(i) - 6*n(i). Let t(j) = 5*v(j) - 4*x(j). Let h(f) = 7*f. Give t(h(g)).
-49*g**2
Let l(k) be the third derivative of k**5/60 + k**2. Let b(m) = -4*m - 2. Let t(y) = -9*y - 5. Let i(z) = -5*b(z) + 2*t(z). What is i(l(f))?
2*f**2
Let a(y) = -8*y. Let h(i) be the third derivative of i**7/2520 + i**4/12 - 2*i**2. Let v(s) be the second derivative of h(s). What is a(v(u))?
-8*u**2
Let l(p) be the first derivative of 0*p**2 + 8 + 2/3*p**3 + 0*p. Let f(z) be the first derivative of z**3 + 1. What is l(f(x))?
18*x**4
Let u(r) = 2*r**2. Let o(k) = 14*k + 25. What is o(u(l))?
28*l**2 + 25
Let o(g) = -2*g**2. Let y be 34/10 - 6/15. Let f(l) = l + 2*l - y*l - 4*l. Calculate o(f(z)).
-32*z**2
Let q(x) be the second derivative of -x**3/3 + 3*x. Let v(n) = 2*n. Let y(d) = 5*d. Let r(j) = 11*v(j) - 4*y(j). | {
"pile_set_name": "DM Mathematics"
} |
= -h - 3*r. Does 35 divide h?
True
Suppose -5*i + 39 = -16. Let w = 26 - i. Is 9/w + (-1368)/(-20) a multiple of 21?
False
Let z(c) be the first derivative of -7*c**2/2 + 13*c - 1. Suppose 2*b + 27 = -3*f, -b = -2 + 5. Does 11 divide z(f)?
False
Let i be (-6 + 7)/((-2)/(-4)). Suppose -g + 0*l + 175 = i*l, 0 = -2*g - 3*l + 345. Let a = -109 + g. Is 14 a factor of a?
True
Let o(p) = -4*p + 60. Let l(s) = 77*s - 1141. Let j(t) = -3*l(t) - 56*o(t). Is j(0) a multiple of 10?
False
Let a = -8 - -38. Suppose m = 6*m + 2*f + a, -3*f = 2*m + 1. Let k(o) = o**3 + 8*o**2 - 2*o - 2. Does 6 divide k(m)?
False
Let n(d) = -d**3 + 6*d**2 + 7*d + 3. Let u be n(7). Suppose -u = -f - 0*f. Suppose -f = -a + 45. Is a a multiple of 24?
True
Suppose -4*v = 6 - 26. Suppose -4*p + 5*x + 525 + 214 = 0, p - 181 = v*x. Suppose -i + p = 2*i. Is i a multiple of 16?
False
Let b = -105 - -107. Is 3/b*692/6 a multiple of 19?
False
Let c(r) = r**3 - 6*r**2 + 7. Let d be c(5). Suppose o - 47 = -o - s, s = 1. Let q = o + d. Is q even?
False
Let v be (-1 + -1)*(-21 - 49). Suppose -34 = -s + v. Does 29 divide s?
True
Suppose 33*f - 10206 = 24*f. Is f a multiple of 18?
True
Let o be (-26)/(-10) + 2/5. Let l = o + 116. Does 28 divide l?
False
Suppose 3*i - 6 - 6 = 0. Suppose -d + 2 - 125 = -f, -i*f = -3*d - 489. Does 40 divide f?
True
Let o(s) = 3*s + 36. Let b be o(-13). Is 21 a factor of 12/66 - b/(33/229)?
True
Does 101 divide (-2)/6*(-2290 - -7)?
False
Is 5 a factor of (-11)/((-66)/456) - 8/(-2)?
True
Let j(i) = 2*i**2 - 13*i + 20. Let r be (244/20 - 4) + (-1)/5. Is j(r) a multiple of 23?
False
Suppose 3*n - v - 709 = 0, 701 = 3*n - 7*v + 2*v. Let j = n + -75. Is j a multiple of 9?
True
Let o = 6347 + -4413. Is 8 a factor of o?
False
Suppose 0*x = -3*l + 5*x + 193, -5 = x. Does 36 divide l?
False
Suppose -112 - 80 = -w. Let u be ((-6)/(-8))/(12/w). Suppose 2*r - u = -4*j, 2*j - 13 = -4*r + 23. Does 5 divide r?
True
Let g = 87 - -3. Let p(a) = -2*a - 6. Let d be p(-6). Is (4/d)/(4/g) a multiple of 15?
True
Let d(x) = -6 - 8*x + 6*x - 8*x - 3*x. Is 9 a factor of d(-2)?
False
Suppose -8*c + 5*c + 6 = 0. Suppose b - 36 = -f, -c*f = -3*b + f + 90. Is 4 a factor of b?
False
Suppose -68*o - 16530 = -87*o. Does 15 divide o?
True
Let w = 26 - -2. Let b = 31 - w. Suppose 3*k + b*u - 213 = 0, -3 + 221 = 3*k + 4*u. Is 11 a factor of k?
True
Suppose 3*u - 2*u + 1 = 0. Let c be 4 + 42/(-10) - (-213)/15. Does 6 divide 6*(c/(-4))/u?
False
Suppose 148 = -3*f + 2*b - 0*b, 168 = -3*f - 3*b. Let j = 222 + f. Is 19 a factor of j?
False
Suppose 0 = 20*b - 21*b - 1. Let a = 6 + b. Suppose r = 4*n - 4, -a*n = -4*r - n + 32. Does 4 divide r?
True
Let l be 2*(14/4 + 0). Let j be 1*4/(-4)*-2. Suppose -j*f - 6 - l = -t, 8 = 4*f. Is t a multiple of 4?
False
Let l be 0/(4/(-3 + 5)). Suppose -4*z + l*g = 2*g - 12, -3*z - 3*g + 12 = 0. Suppose m = 3*c - 94, 2*c = 6*m - z*m + 76. Does 9 divide c?
False
Let z be 24/(-8) + -1 + 9. Suppose -z*f - 172 = -9*f. Does 10 divide f?
False
Let j = 1479 + -222. Is j a multiple of 54?
False
Suppose -2*t - 1 = -5. Suppose 0 = 2*u - t - 6. Suppose u*h - 2*h + 4 = 2*k, 3*k - h - 14 = 0. Does 3 divide k?
True
Let u = -84 + 89. Suppose -u*p + 626 = 216. Does 41 divide p?
True
Let b(l) = -l**3 + l**2 + l + 4. Let g be b(0). Suppose -g*r - s = -121, s = 5*r - 130 - 10. Does 2 divide r?
False
Suppose 5*w = 4*w + 176. Is 8 a factor of w?
True
Suppose 0 = -5*t - 0 + 5. Let q = 4 + t. Suppose 150 = q*o - 2*o. Is 10 a factor of o?
True
Let u(c) = -c**3 + 13*c**2 + 12*c + 19. Let k be u(14). Let d be 8/10*(k - -14). Suppose -f = 4*g - 4, 0 = f - d*g - 13 - 23. Is f a multiple of 4?
True
Let s be 15/3*((-108)/15 - 2). Let c = s + 60. Is c a multiple of 3?
False
Let r be (-6)/9 + 214/6 + 1. Let s = 38 - r. Is s a multiple of 2?
True
Let m(s) = -3*s**2 - 2*s**2 - 11*s - 5 - s**3 + 0*s**2 - 2*s**2. Let z be m(-5). Suppose -h - 3*h + 5*k + 289 = z, -h = -2*k - 70. Is 13 a factor of h?
False
Let u = -167 - -367. Is 9 a factor of u?
False
Let m(k) = -57*k - 57. Let d be m(9). Let u = -314 - d. Does 16 divide u?
True
Let n = -81 + 81. Suppose 2*v - 5*m - 123 = n, 2*v + 3*v + 3*m = 261. Does 6 divide v?
True
Let v(w) = -w**2 - 7*w + 6. Let n be v(-8). Is 18/n*(-140)/15 a multiple of 14?
True
Let i(o) = 2*o**2 - 2*o + 3. Let m be i(3). Suppose -m = 5*s - 4*c, -2*c = -4*c. Does 19 divide s*(2 - 42/2)?
True
Does 16 divide ((-1 - 441) + (-3 - -2))/(-1)?
False
Suppose -2*q + 34 + 4 = 5*z, -q + 34 = 5*z. Does 5 divide z?
False
Let k(j) = 6*j**2 + 4*j + 21. Let z be k(-6). Let x = -95 + z. Suppose -6*v = -38 - x. Is 13 a factor of v?
True
Let j(h) be the first derivative of h**4/4 - 2*h**3/3 - 3*h**2/2 + 3. Let z be j(3). Suppose 51 = -4*v + 6*v - 3*q, -4*v + q + 77 = z. Is v a multiple of 18?
True
Let g(c) = -c - 1. Let s(r) = -32*r + 16. Let i(a) = -3*g(a) - s(a). Is i(4) a multiple of 15?
False
Let p(s) = -s**3 - 5*s**2 + 8*s + 3. Let v be p(-6). Is (-79)/v + 12/54 a multiple of 2?
False
Suppose -171*f + 176*f = 1050. Is 30 a factor of f?
True
Suppose -2*l + 2*n + 4 - 2 = 0, -4*l = 2*n - 16. Suppose -4*a - l*w = -118, a - 6*w + w - 41 = 0. Does 22 divide a?
False
Let n(r) = -13*r + 469. Is n(-29) a multiple of 3?
True
Let b(k) = -17 - 11*k + 21*k - 7*k - 9*k. Is b(-5) a multiple of 13?
True
Let k be (-1 + 4)/((-9)/(-6)). Suppose 42 = k*i + 2*p, 74 = 4*i - 4*p - 50. Is i a multiple of 5?
False
Suppose -37 = -n + 5*t - 0*t, 5*n + 2*t = 104. Suppose n*k = 25*k - 54. Does 7 divide k?
False
Let l(c) = c**2 - 8*c + 8. Let f be l(7). Let i = 14 - f. Is i a multiple of 6?
False
Let u(v) = 36*v + 164. Is u(31) a multiple of 64?
True
Let i be (6 - 3) + -5 - -170. Suppose 3*m = -5*c + i + 28, 5*m - 2*c - 306 = 0. Suppose -3*n + 350 = m. Is n a multiple of 20?
False
Let c(k) = -467*k + 370. Is c(-6) a multiple of 13?
True
Suppose -2*m = -u - 7*m + 47, 2*m - 98 = -4*u. Suppose 6*i - 8 - u = 0. Does 4 divide i?
False
Suppose -4*q + 2*u - 11 = 23, -42 = 5*q - 2*u. Does 11 divide q - -4 - (-42 - -5)?
True
Let y be 44/55 - (-248)/(-10). Let u(t) = -t**3 + 6*t**2 + t + 2. Let m be u(6). Is (-1044)/y*m/6 a multiple of 16?
False
Let d(o) = 42*o - 4. Let j be d(-3). Let c = -90 - j. Does 11 divide c?
False
Is 28 a factor of 1/((-5)/(-9765)*7)?
False
Let k(y) = -5 + 1 + y + 3 + 3 + y**2. Let x be k(0). Suppose 191 = 4*c + 5*l, 5*l - 2*l = x*c - 79. Is c a multiple of 10?
False
Let x(u) = -3*u + 6*u**2 - 4*u**3 + u**3 + 2*u**3 + 14 + 2*u**3. Is 4 a factor of x(-5)?
False
Let q(w) = 9*w - 12*w + 13 + 2*w**2 - 7*w. Is q(16) a multiple of 62?
False
Suppose 3*g - g - 3 = o, -4*o - 5*g = -27. Suppose -o*d + 20 = -28. Does 4 divide d?
True
Let d = -55 - -26. Let v = -11 - d. Is 12 a factor of v?
False
Let t(q) be the third derivative of -q**4/24 - 2*q**3 - 11*q**2. Let c be t(-14). Suppose c*b - 18 = 4. Does 11 divide b?
True
Suppose 3*g - 22 + 13 = 0. Suppose 4*o = -d + 3*o, -d = g*o. Is d - (-1 + -7*17) a multiple of 30?
True
Suppose -k + 368 = -2*r + 28, 5*k - 1720 = 5*r. Does 18 divide k?
False
Let k = -49 - -53. Suppose -2*q - v - 1320 = -7*q, 0 = -k*q - 4*v + 1080. Is 48 a factor of q?
False
Let x = -1475 - -1779. Is 3 a factor of x?
False
Let r be 56/20 + (-1)/(-5). Let s(p) = -14 + 10*p + 8*p**2 + 5 - 2*p**r + p**3 - 2*p**2. Is s(7) a multiple of 4?
True
Suppose -4*w + 2*d = 32, 0 = -3*w - 5*d + 3 - 1. Is 8 a factor of (20/(-25))/(w/525)?
False
Let v(l) = -15*l**3 - 12*l**2 - 13*l. Let f(c) = -7*c**3 - 6*c**2 - 6*c. Let b(s) = -13*f(s) + 6*v(s). Let i be b(-6). Let q = 29 - i. Does 8 divide q?
False
Let b(g) = g**3 - 9*g**2 - 8*g - 1. Let p be b(6). Let f = -79 - p. Is 26 a factor of f?
True
Let k(b) = -b**3 - 8*b**2 + 8*b - 26. Does 18 divide k(-11)?
False
Let a be 6/4 + 3 + 15/(-6). Suppose -g + p + 103 = -0*p, -2*p = a*g - 190. Is g a multiple of 33?
True
Suppose 3*r = -2*n + 21 + 1, 0 = 5*n + 2*r - 44. Let c = 219 + -234. Is 4 a factor of n/(-3)*c/10?
True
Is (-6)/(-4)*(-62586)/(-81) a multiple of 61?
True
Let k(f) be the second derivative of -f**5/20 + 5*f**4/6 - 3*f**3/2 + 6*f. Let t be k(9). Suppose q - 5*z = 92 - 23, 4*q + 4*z - 156 = t. Is q a multiple of 22?
True
Let n = -11 + 7. Let s(k) = 10*k**3 + 2*k - 3. Let p be s(1). Is 3 a factor of (n/(-6))/(p/162)?
True
Suppose 2*m = 3*t + 29, m + 7 = t + 20. Su | {
"pile_set_name": "DM Mathematics"
} |
6. Let g = 3444 - 3444. Give k(g).
-6
Let p(k) be the third derivative of 7*k**5/60 - k**3/6 + 7*k**2 - 3*k. Suppose m - 2 + 12 = 0. Let v = m - -9. Determine p(v).
6
Let z(s) be the third derivative of s**4/24 - 4*s**3/3 - 13158*s**2 - 1. Suppose g - 6 = 2*g. What is z(g)?
-14
Let k(j) = -j - 9. Let v(p) = 4*p + 28. Let n(m) = -7*k(m) - 2*v(m). Let u = 168 - 126. Let r = u - 38. What is n(r)?
3
Suppose 0 = 3*w + 7 - 4. Let r(q) = 72*q**3 - 14*q**2 + 14*q - 74. Let c(h) = 48*h**3 - 10*h**2 + 10*h - 53. Let t(p) = -7*c(p) + 5*r(p). What is t(w)?
-23
Let j(y) = -y**2 + 7*y - 24. Let a = -8384 + 8392. Give j(a).
-32
Let r(c) = -434*c - 36. Let a(k) = 130*k + 12. Let p(g) = 10*a(g) + 3*r(g). Give p(11).
-10
Suppose 0 = -x + 9*x - 112. Let f(c) = 1 + 2*c - x*c**2 - 13*c**2 + 26*c**2. Let q(w) = -2*w**2 + 5*w + 3. Let v(z) = -5*f(z) + 2*q(z). Determine v(-3).
10
Let d(q) = -7*q**3 + 12*q**2 - 7*q + 1. Let p(f) = -4*f**3 + 6*f**2 - 3*f. Let k(y) = -3*d(y) + 5*p(y). Let i = -100 - -109. Suppose i*m - 48 = -3*m. Give k(m).
-11
Suppose 0 = -2*k + 7*k - 520. Suppose 211 = -i - i - 5*m, -386 = 4*i - 2*m. Let c = i + k. Let g(n) = n - 8. What is g(c)?
-2
Let q(a) = -a**3 + 15*a**2 + 18*a - 36. Let k be (-64)/(-10)*(65/26 - 0). Give q(k).
-4
Let s = 25295 - 25277. Let j(m) = -11*m + 180. Give j(s).
-18
Let n(y) = -6*y**2 - 37*y - 8. Let t(j) = 2*j**2 + 7*j + 4. Let p(l) = -n(l) - 4*t(l). Calculate p(7).
-43
Suppose -3*q + i + 32 = 0, 19 = 43*q - 41*q - 3*i. Let s(p) be the first derivative of 1/2*p**2 - q + 11*p. Calculate s(-9).
2
Let u(y) be the third derivative of y**5/30 - y**4/4 + y**3/3 - 189*y**2 - 9. Determine u(2).
-2
Let w(p) = p**2 + 1 - 2*p**2 + 3 - 6*p. Let y be (-2 - (-3)/1)/((-50)/400). Calculate w(y).
-12
Let l(v) = -v**3 - 6*v**2 + 12541526*v - 2 + 27*v**2 - 12541526*v. What is l(21)?
-2
Let g(h) = 35*h + 32. Let o(s) = 16*s + 13. Let j(f) = -2*g(f) + 5*o(f). Determine j(-3).
-29
Let z = -18 - -33. Let d = -16 + z. Let r(k) = 4*k**3 + k**2 + 2*k - 2. Let c(x) = -20*x**3 - 5*x**2 - 11*x + 11. Let v(y) = 2*c(y) + 11*r(y). Calculate v(d).
-3
Let j(o) = -2*o. Let n be j(2). Let k = n + 1. Let u(d) = 3*d + 885 - 284*d**2 - 886 + 283*d**2. Determine u(k).
-19
Let s = -27268 + 27278. Let x(r) = -13*r + 141. Determine x(s).
11
Let j be (1/(-1))/(1/(-7)). Let h = -915 - -1999. Let s(t) = 8 + 1081*t + h*t - 2167*t. What is s(j)?
-6
Let k(u) = 4*u**2 - 6*u + 12. Let g(z) = 21*z**2 - 28*z + 61. Let v be ((-1)/(-3))/(79/474). Let i(p) = v*g(p) - 11*k(p). Determine i(4).
-2
Let s(r) = 10*r - 89. Suppose 15*h = 11*h - 20, 0 = 2*t + 3*h - 5. Give s(t).
11
Let d(i) = i**2 - i - 2. Let a(m) = m**3 - 13*m**2 + 13*m - 9. Suppose 4*o = 4*t - 32, -2*t - o = -0*t - 13. Let y = 19 - t. Let g be a(y). Give d(g).
4
Let p(a) = 5*a**2 - 75 + 71 - 569*a - a**3 + 568*a. Let m = 2 + 2. Determine p(m).
8
Suppose -6 = -2*x, 16 - 42 = 2*b - 4*x. Let d be (-26)/91 + (-16)/b. Let j(h) = 2 - 2 - 4 + 6*h + 9*h**d + h**3 - 6. Determine j(-8).
6
Let i(c) = 172*c**3 + c**2 + 25*c + 3. Let w(s) = 58*s**3 + 9*s + 1. Let g(p) = -3*i(p) + 8*w(p). Determine g(-1).
51
Let a(p) = 6*p - 8. Let b(o) = 5*o - 7. Let u = 66 - 41. Suppose -3*j = -6*z + 4*z - u, 3*z + 35 = 4*j. Let t(w) = z*b(w) + 4*a(w). What is t(3)?
0
Suppose -168*g + 478 = 142. Let f(j) = 52*j - 110. Determine f(g).
-6
Let k(m) be the first derivative of -m**3/3 + 13*m**2/2 - 30*m - 428. What is k(10)?
0
Suppose -68 = -47*l + 59 + 14. Let s(g) = -39*g + 139. Calculate s(l).
22
Let w(g) be the first derivative of -g**4/4 + 4*g**3 + 5*g**2 + 36*g - 548. Determine w(13).
-3
Suppose d = -2*d + 3. Let v(q) = -q + 0 + d + 1 - 4. Suppose 0 = -16*h + 2*h - 14. Determine v(h).
-1
Let j(u) = 7*u**3 - 102*u**2 + 168*u - 315. Let o(t) = -4*t**3 + 58*t**2 - 96*t + 181. Let k(l) = 9*j(l) + 16*o(l). What is k(8)?
-3
Let v(d) = -24*d**2 - 17*d + 7. Let s(y) = -16*y**2 - 19*y + 8. Let q(k) = -8*s(k) + 9*v(k). Give q(-1).
-88
Let i(r) = -r**2 + 33*r + 40. Let c be i(32). Let l(f) = 27 + 23 + 5*f + 27 - c. Determine l(-4).
-15
Let i be (-30)/(-195) - (-13628)/(-26). Let q = i + 510. Let a(s) = -s**2 - 17*s - 35. Calculate a(q).
7
Let d(t) = -t**3 - 4. Let v = 5181 + -5178. Calculate d(v).
-31
Let o = -2 + 7. Let v(q) = o*q - q**3 + 65 + 3*q**2 + 0*q**3 - 66 + 0*q**2. What is v(5)?
-26
Let l(c) be the third derivative of -40 + 1/30*c**5 + 0*c + 1/6*c**3 + 7/24*c**4 - 2*c**2. Give l(-5).
16
Let a be -1 + 0 + (-28)/49*-7. Let k(i) = -3*i**2 + i**a + 547 - i**2 - 543 + i - 4*i. Let c(w) = -2*w**3 - 4*w**2 - 3*w - 1. Let g be c(-2). Give k(g).
14
Suppose -3*o + 51 = 5*p, -3*p - 97 = -4*o - 0*p. Let c(v) = 43*v - o*v - 19*v + 6. Let w be (-2)/13 + (-50)/13. Determine c(w).
-2
Let b(u) = u - 2. Let y(l) = 14*l - 5. Let m(r) = -2*b(r) + y(r). Let z(h) = 23*h - 2. Let d(p) = 5*m(p) - 2*z(p). Determine d(1).
13
Let k(u) = -3*u**3 + 5*u**2 + 7*u - 10. Let d(c) = -c**3 - c**2 - 2. Let x(p) = -2*d(p) + k(p). Calculate x(8).
-14
Let q(a) = -13*a - 13 + 259*a**2 - 131*a**2 + 8*a - 15*a - 127*a**2. Calculate q(26).
143
Let y be (48/6 - 13) + 5. Let f(o) = -2*o**2 + o - 10. Let s(u) = 3*u**2 - 2*u + 19. Let t(x) = -5*f(x) - 3*s(x). What is t(y)?
-7
Let y(k) = 2*k. Let g(n) = 8 - 20 - 22 - 153*n + 145*n + n**2. Let f(h) = g(h) + 4*y(h). Calculate f(0).
-34
Let i be 6 + ((58 + -4)/6 - 7). Let c(z) = -5*z + 13. Calculate c(i).
-27
Let h(b) = 18*b + 0*b - 23 - 47. Let k be h(4). Let n(d) = d**3 - 3*d + 1. Determine n(k).
3
Let p(i) = 27*i + 438. Let q(c) = -18*c - 312. Let k(g) = -5*p(g) - 7*q(g). Determine k(-8).
66
Let l be 0/5*(4 + -3). Let r(b) = b**3 - 8*b**2 - 7*b - 15. Let x be r(9). Suppose x*o - 2 = -a - 0, l = 3*a + o + 2. Let j(g) = -6*g. What is j(a)?
6
Let d = 248 - 250. Let q(a) = -a**2 - 2*a - 3. Let g(t) = 3*t**2 + 7*t + 10. Let c(o) = -2*g(o) - 7*q(o). Give c(d).
5
Suppose 0 = -25*a - 2*a + 8262. Let j(r) = 2 + 0 - a*r + 310*r - 8 + 0. Calculate j(-6).
-30
Let t = 11 + -8. Let v = t - -2. Suppose v*w - 32 = s, w - 2 = -2*s - 0*s. Let f(g) = -g**3 + 6*g**2 + 3. Calculate f(w).
3
Let f(p) be the third derivative of p**4/12 - 7*p**3/2 + p**2 + 389. Calculate f(7).
-7
Let n(i) = 8*i - 5 + 0*i - i - 3*i. Suppose -20 + 14 = -6*b. What is n(b)?
-1
Let v(u) = 4*u**2 + 8*u + 16. Let r be v(-2). Let l(p) = 4 + 20*p - r*p + 0*p - 5*p. Calculate l(-4).
8
Let z(h) = -h**2 + 13*h + 24. Let d be z(11). Let s = d + -46. Suppose 0 = -s*x - 10*x - 20. Let f(y) = -y - 1. Give f(x).
1
Let i(q) be the second derivative of -23/6*q**3 + 0 + 0*q**2 - 1/3*q**4 + 1/120*q**5 - 23*q. Let y(r) be the second derivative of i(r). Give y(9).
1
Let g be ((-4896)/(-256) + -17)*(14/2 + 1). Let x(f) = f**3 - 18*f**2 + 12*f + 24. What is x(g)?
-61
Let g(n) = n**3 - 4*n**2 - 2*n + 4. Let j = 23 + -21. Let i be (30/12)/(10/24) - 4. Suppose 0 = -j*u - i*q + 12, -2*q + 5 = 1. Calculate g(u).
-4
Suppose 4*a = 72 - 52, 2*a = 2*t + 10. Let l(f) = 3*f + 7. Calculate l(t).
7
Suppose 3*p + 21 = -6. Let d be 1/(3/p) + 2. Let f(h) = -47*h + 2 + 46*h - 4. Determine f(d).
-1
Let d(n) be the second derivative of -n**5/20 - n**4/6 + 5*n**3/6 + 3*n**2 - 2*n + 490. Calculate d(-4).
18
Let x be 6/((-1)/(-2)*-2 + 0). Let n(z) = -z**3 + 7*z - 1. Suppose 5*v - 15 + 40 = 0. Let r(u) = u**3 - u**2 - 7*u. Let m(i) = v*r(i) + x*n(i). Determine m(-6).
12
Let d be 0 + 5 + 8*(-4)/(-32). Let h(a) = a + a**3 - 4 + 6*a + 0*a - 7*a**2 + a. Give h(d).
8
Let i(c) = c + 17. Let u be (-9)/(1701/(-18)) - (-680)/(-84). What is i(u)?
9
Let u(r) = -19*r**2 - 17*r**2 - 13*r - 13 - 18*r**2 - 20*r**2 + 75*r**2. What is u(17)?
55
Let c(q) = -836 + q**3 + 276 + 282 + 2*q + 2*q - 6*q**2 + 279. Determine c(5).
-4
Let w(i) = -5*i - 36. Suppose -n + 70 = -4*y, -11 = 5*y + n + 72. What is w(y)?
49
Let f(l) = l**2 + 4*l - 14. Let k be f(-4). Let p(o) = 2*o + 22. Let j be p(k). Let i(g) be the second derivative of g**3/6 + 5*g**2/2 + 2*g. Give i(j).
-1
Let t(x) = -8*x**3 - 34*x**2 - 8*x + 57. Let h(w) = 3*w**3 + 14*w**2 + 3*w - 23. Let k(l) = 13*h(l) + 5*t(l). Calculate k(12).
-26
Let j be (6 + -5)/((-23)/(-161)). Let h(o) = 14*o - 103. Calculate h(j).
-5
Let j(y) = -11*y + 187. Let z be j(17). Let i(q) = 2*q**3 + q + 6. Let v be i(z). Let u(w) = w**3 - 5*w**2 - 2*w - 8. Calculate u(v).
16
Let b be (-8)/(-4) + (2 - -33). Let a = | {
"pile_set_name": "DM Mathematics"
} |
. What is the third smallest value in 1, a, 2/5, o?
1
Let w = 9 - 1. Let x = 0 + w. Let m = x + -8.1. Which is the biggest value? (a) -4 (b) 0 (c) m
b
Suppose -3*v - 3*w + 23 = 2*v, -18 = -4*v - 2*w. What is the second smallest value in v, -2/31, 0?
0
Let n be 28/(-70) - 124/(-260). What is the fourth biggest value in 0.03, -2/11, -2/5, n?
-2/5
Let f be 28/24 + 2 + (-15)/6. Let p = 8 + -5. Let r = -177/44 - -36/11. Which is the third biggest value? (a) f (b) p (c) r
c
Let u = 4.142 - 1.142. Which is the biggest value? (a) 29/7 (b) -2 (c) u
a
Let u(v) = -4*v + 2*v + 0*v - 6. Let i be u(-3). Let f be (2/12)/((-3)/4). Which is the smallest value? (a) i (b) f (c) -0.4
c
Let s be (-5)/((-5)/30*-6). Let d be ((-54)/28 + 2)*-16. What is the biggest value in 5, s, d?
5
Let l = 502/3705 - 8/95. Which is the third smallest value? (a) 1 (b) -0.5 (c) l
a
Let b = -0.226 + -4.774. What is the second smallest value in 2/15, -3/2, -0.4, b?
-3/2
Let q = 40.68 + -40. Let j = q + -0.18. Let s(d) = -d**2 + d + 1. Let n be s(0). Which is the third smallest value? (a) -1 (b) j (c) n
c
Let w be (-1)/4 - 68/(-16). Suppose 15 = w*h + 3. Which is the biggest value? (a) h (b) -0.5 (c) -1 (d) -8
a
Let v(d) = 4*d + 25. Let n be v(-6). Let y be ((-4)/2)/(2/5). Let l be n/y - 0 - 0. What is the smallest value in -5/3, l, -4?
-4
Let x = -8 + 4. Let v = 13.93 + -14. Suppose -5*w + 0*w - 5 = -5*u, -4*u + 10 = 2*w. What is the second smallest value in w, x, v?
v
Suppose 7*f - 11*f = 96. Let d be 8/f + 2/(-12). Let i be -2 + 2/(-12)*-2. Which is the biggest value? (a) d (b) i (c) 0.4
c
Let x = 8.3 - 6.3. Which is the second smallest value? (a) 17 (b) 3 (c) x (d) 1
c
Let q = 1 - -3. Let m = 34243/3 + -11414. Which is the third smallest value? (a) q (b) 1 (c) m
a
Suppose 0*y - 2 = y. Let r be ((1 - 2) + y)/(81/(-18)). Let q be 3/(-4) + (2 - 1). Which is the third smallest value? (a) -7 (b) q (c) r
c
Let r = 14 - 13.972. Let h = 16.472 + r. Let j = h - 16. Which is the second biggest value? (a) -3 (b) j (c) 1/3
c
Let k(y) = -17*y - 10. Let g be k(6). Let v be 22/24 + (-6 - g/21). Which is the third smallest value? (a) v (b) 1/11 (c) -3
a
Let p = 2.19 - 1.19. What is the third biggest value in p, 1/272, 5?
1/272
Let f = 26 + -19. What is the second smallest value in f, -3, -2/41?
-2/41
Let m = 101.9 + -99.9. Which is the biggest value? (a) -0.21 (b) m (c) 1
b
Let w = -28.1 + 26.1. Which is the fourth biggest value? (a) 0.1 (b) w (c) -13 (d) 5
c
Let l = -0.4401 - 0.0599. Which is the second biggest value? (a) 2/11 (b) l (c) -496 (d) -1
b
Suppose -l + 52 = -5. Let j be (-8)/l*(-9)/12. Let h = 4 + -4. What is the second smallest value in j, h, -5?
h
Let v = 0.4709 - 0.1709. What is the second smallest value in 3, v, -53, 4?
v
Let r = -8 - -5. Let n = -232/9 - -1651/63. Which is the third biggest value? (a) r (b) 0.07 (c) n
a
Let r(h) = h + 7. Let v be r(-5). What is the second biggest value in 0, -1/3, -3, v?
0
Let t = -26 - -22. Let o be -4 - 44/231*(-39)/2. What is the smallest value in t, 0.3, o, 1?
t
Let f = 279/385 + -19/35. What is the second biggest value in 8.8, -1, -4/3, f?
f
Let n = 244/11 - 22. What is the fourth smallest value in -14, n, -4, 0?
n
Let l = 0.57 + -0.22. Let x = l - -0.15. Let j = -3 - -2.6. Which is the biggest value? (a) j (b) x (c) 1
c
Let x = -14 - -14. Suppose -n - z + 48 = 0, x*z + 6 = -2*z. Let j be (-2)/(n/(6/2)). What is the third smallest value in 2, j, -3?
2
Let j = -35 - -87. Let h = 158/3 - j. What is the second smallest value in -1/10, h, 0.2?
0.2
Suppose -3*y = 205 - 199. Which is the third biggest value? (a) y (b) 4 (c) -12
c
Let x = 9 + -5. Let m be ((-6)/5 - -2) + (-97 - -96). What is the third smallest value in x, m, 0.1?
x
Let u = 7 - 6.5. Let i be 8/(-4)*1*-1. Let k = i - 2. What is the biggest value in k, u, -0.2?
u
Let f = -274 + 274.3. What is the third smallest value in 0.03, f, -23?
f
Suppose 0 = -5*p + 10 - 0. Suppose 5*f + 2*j - 154 = 0, 7*j - p*j = -2*f + 70. Let r = f - 29. What is the smallest value in -5, r, -12?
-12
Let w(t) = -t**2 + 9*t - 10. Let j be w(2). Which is the biggest value? (a) 5 (b) j (c) -2/11
a
Let y be (-5)/22*2*(-36)/90. Let u(l) = -40*l + 2. Let w be u(-2). Let i = 491/6 - w. Which is the biggest value? (a) i (b) 0.3 (c) y
b
Let k = -295 + 291.89. Let l = -4.14 - -4.25. Let w = k + l. What is the biggest value in 5, w, 0.1?
5
Let l = 13089/7 - 1870. What is the second biggest value in 29, l, 2/3?
2/3
Let u = 4.9 + -3.9. Which is the smallest value? (a) u (b) -16 (c) -2/9
b
Let o = 49 - 35. Let t = 13 - o. Let r = -0.5 - t. What is the second smallest value in r, -6, -1/3?
-1/3
Let k = -58 + 1273/22. Let p = k + 1/330. Which is the biggest value? (a) -3 (b) 0.1 (c) p
b
Let g = 129/2 + -63. What is the second smallest value in 3, g, -1/6?
g
Let k = -0.251 - 0.201. Let j = -0.048 + k. What is the second smallest value in -5, 2/3, -4, j?
-4
Let t = -113/468 - -1/52. Let m = -6 - -11. Suppose m*p - 6*i + 52 = -2*i, 5*p - 5*i = -55. Which is the second smallest value? (a) t (b) p (c) 5
a
Let n = -603 - -599. Which is the fourth biggest value? (a) -6 (b) n (c) 0.4 (d) -0.4
a
Let t = -82 + 79. Which is the fourth biggest value? (a) -3/5 (b) 0 (c) t (d) 7/2
c
Let u = 2.1 + -2. Let c = -3/31 + 167/124. What is the biggest value in u, 3, 0, c?
3
Let m = -9.2 - -11.2. What is the second smallest value in m, -36, 0.2, -2/3?
-2/3
Let q(w) = w**2 + w - 9. Let x be q(3). Let v = -37 + 37. Let o = 1.1 - 0.8. What is the second biggest value in x, v, o?
o
Let i(g) = -g**3 - 3*g**2 + 18*g - 4. Let j be i(-6). Which is the second smallest value? (a) -1 (b) 24 (c) j
a
Let w be ((-11)/(-2))/(3/(-12)). Let v be 1 + -26*(-1)/w. Let d be 36/4*3/9. What is the third biggest value in -2/17, d, v?
v
Let t = -0.0512 - 0.2488. Which is the biggest value? (a) -0.6 (b) t (c) -3/4 (d) -1
b
Let f be -4 + 2 - 24/11*-1*1. Let l be 0 - (-1)/(-4) - 0. Which is the biggest value? (a) 0.1 (b) -4 (c) f (d) l
c
Let t = -8/55 - -6/11. What is the smallest value in -0.4, -89, t?
-89
Let r = 602 + -607. Let j = -243/680 + -3/170. What is the third smallest value in j, r, 0.6?
0.6
Suppose 0*l - 3*l + 3*q + 15 = 0, -3*l + 2*q = -10. Which is the fourth biggest value? (a) -1/5 (b) l (c) -0.5 (d) 5
c
Let l = 15 + -10. Suppose 0 = 4*t + 605 - 185. Let n = 1471/14 + t. Which is the second smallest value? (a) -5 (b) n (c) l
b
Let f = 205.02 - 205. What is the fourth biggest value in f, 0.2, -0.2, -0.03?
-0.2
Let r = 11 - 12.2. Let t = r - 0.8. Let f = t - -4. Which is the third biggest value? (a) f (b) -1 (c) -0.2
b
Let i = 2/773 + -1556/3865. What is the biggest value in -2/17, 169, i?
169
Let v = 25808 - 129537/5. Let r = v + 98. Let i = 25 + -30. What is the biggest value in r, -0.5, i?
-0.5
Let o = -1.4 + 4.5. Let y = 2.9 - o. Which is the biggest value? (a) 29/3 (b) y (c) -2
a
Let z = -2 + 2.2. Let m = -22877 - -297399/13. Which is the second smallest value? (a) m (b) 25 (c) -1/2 (d) z
a
Let j be 0 - 2/(-6)*39/26. Let i be (-6)/4*2/(-2). Which is the second smallest value? (a) i (b) j (c) 5 (d) -5/4
b
Let a be (6/14 + 1)*(-420)/(-180). What is the third biggest value in -4, a, -2?
-4
Let s = -8.9 + 6.4. Let o = 1.5 + s. What is the biggest value in -5, -6, o?
o
Let l = 78.07 - 78. Which is the biggest value? (a) -0.05 (b) -5 (c) l
c
Let w(j) = -2*j**3 + 3*j**2 - 1. Let p be w(2). Let s = -7862 + 7862.4. Which is the third biggest value? (a) -0.4 (b) -4 (c) p (d) s
b
Let s be (214/(-46))/(-1) + (-10)/2. Which is the biggest value? (a) 0.1 (b) s (c) -0.2 (d) -4
a
Let m = -6802 - -47612/7. Let q be (-8)/(-2) - (-1 - -2). Let n be (4/q - 0) + -1. Which is the second smallest value? (a) n (b) m (c) -4
b
Let k = 7 - 10. Let w(x) = 18 - 48 + 26 + x. Let d be w(3). Which is the second smallest value? (a) k (b) d (c) 3/2
b
Let u(q) = -q**3 + 8*q**2 + 11*q - 22. Let t be u(9). Let z = 272 - 1358/5. Which is the second biggest value? (a) 0 (b) z (c) -8 (d) t
a
Let i be 1/(-19)*(-392)/82. Let q = i - 6/41. Let o = 279.6 - 280. What is the third biggest value in o, q, -1/3?
o
Let u = 287 + -7173/25. Let z = -22 + 27. Which is th | {
"pile_set_name": "DM Mathematics"
} |
6*r + 22. Let q(w) = 1724*w. Determine q(m(a)).
10344*a + 37928
Let b(j) be the third derivative of j**5/60 + 869*j**2. Let x(z) = 1096*z. Give b(x(r)).
1201216*r**2
Let z(b) = -2*b**2 + 6150*b. Let y(r) = -6*r**2. What is z(y(i))?
-72*i**4 - 36900*i**2
Let o(a) = -5*a**2. Let u(v) = -10759*v**2. Determine o(u(y)).
-578780405*y**4
Let k(z) be the first derivative of -z**3/3 - 178. Let d(f) = -258*f. Give k(d(x)).
-66564*x**2
Let d(w) = -2*w. Let o(y) = -9*y - 13*y - 21*y. Determine o(d(c)).
86*c
Let t(v) = 37*v**2 - 27*v**2 + 3*v - 3*v. Let k(h) = 2*h**2. Give t(k(n)).
40*n**4
Let i(p) = 13*p**2 + 3617*p. Let m(b) = 4*b**2. What is i(m(w))?
208*w**4 + 14468*w**2
Let v(l) = 3*l. Let u(s) = -s - 2. Let q be 20/(-8)*(-8)/20. Let y(g) = 17*g + 8. Let h(i) = q*y(i) + 4*u(i). Calculate v(h(j)).
39*j
Let o(m) be the first derivative of m**5/60 + 5*m**3 + 13. Let z(j) be the third derivative of o(j). Let l(q) = -2*q**2. Calculate l(z(n)).
-8*n**2
Let s(u) be the first derivative of -7*u**3/3 - 85. Let v(z) = -17*z**2. Give v(s(m)).
-833*m**4
Let n(w) = -7*w**2 - 10*w. Let c(j) = 5645*j. Calculate n(c(h)).
-223062175*h**2 - 56450*h
Let z(q) = -10*q - 2. Let u(r) = -567*r**2 + 1. Determine z(u(g)).
5670*g**2 - 12
Let y = 1/843 + 280/843. Let m(i) be the first derivative of 4 + 0*i**2 + 0*i + y*i**3. Let h(f) = -3*f**2. Give m(h(g)).
9*g**4
Let x(k) = -108*k**2 - 2*k. Let u(j) = -15*j**2 - 1. Give x(u(z)).
-24300*z**4 - 3210*z**2 - 106
Let g = 58 - 53. Let r(t) be the third derivative of 0*t**3 + g*t**2 + 0*t + 0 - 1/30*t**5 + 0*t**4. Let i(k) = k**2. What is i(r(m))?
4*m**4
Let g(x) be the second derivative of -x**4/6 - 15*x**2 - 53*x. Let d(f) = 3*f. What is d(g(a))?
-6*a**2 - 90
Let w = -7 - -9. Let g(j) = 4 - 4 + 0 - j**w. Let l(k) be the third derivative of k**5/60 - k**2. What is l(g(q))?
q**4
Let m(d) be the second derivative of -2*d**3/3 + d + 26. Let v(l) = 52*l. Calculate v(m(q)).
-208*q
Let o(z) = 9*z. Let g(u) = u**2 - 366*u + 5. Determine g(o(x)).
81*x**2 - 3294*x + 5
Let i(q) = -7*q**2. Let s(t) be the first derivative of 19*t**3/3 - 55. What is i(s(k))?
-2527*k**4
Let y(m) = -22334*m. Let s(u) = 6*u. Calculate s(y(i)).
-134004*i
Let h(c) be the first derivative of -1 + 5 - 1 + c**2 + 4. Let l(q) = -8*q + 0*q + 2*q + 7*q. Give h(l(n)).
2*n
Let c(q) = 2*q. Let y(x) = -743975*x**2. Calculate c(y(f)).
-1487950*f**2
Let n(v) = 2*v - 16. Let t(a) = -a - 4. Let j(p) = -n(p) + 4*t(p). Let d(i) = -10*i - 1. Calculate d(j(h)).
60*h - 1
Suppose 8*y = 207 + 17. Let c(w) = y + 2*w + 26 - 54. Let b(s) = -3*s. Determine c(b(m)).
-6*m
Let i(m) = m. Let w(t) be the third derivative of 0 + t**3 + 0*t + 0*t**4 - 8*t**2 - 7/40*t**5. Let j(d) be the first derivative of w(d). Determine j(i(x)).
-21*x
Let g(p) = p**2 - 27*p + 237. Let w(c) = -2*c**2. Give g(w(j)).
4*j**4 + 54*j**2 + 237
Let p(q) = 41105*q. Let d(b) = 6*b. Determine d(p(g)).
246630*g
Let p(m) = 458*m**2. Let i(d) = 111*d**2 + 2*d. Give i(p(u)).
23283804*u**4 + 916*u**2
Let c(s) = 7*s - 34. Let u(w) = 117*w - 561. Let o(b) = -66*c(b) + 4*u(b). Suppose -h + 6 - 4 = 0. Let m(z) = -5 - 2*z**h + 5. What is o(m(x))?
-12*x**2
Let z(j) = -7*j - 1. Let o = 30 + 38. Let y(d) = o*d + d**2 - 68*d. Determine y(z(w)).
49*w**2 + 14*w + 1
Let u(w) be the second derivative of 29*w**3/2 + 4*w - 23. Let c(y) = 2*y**2. Calculate u(c(x)).
174*x**2
Let o = -7 + 10. Let g(m) = -5*m - o*m + 4*m + m. Let s(f) be the third derivative of f**4/24 + 4*f**2 + 2*f. What is g(s(c))?
-3*c
Let b(i) = -2*i**2. Let s be 32 + (7 + -3)*-1. Let a(v) = -15*v - 10*v + s*v. Determine b(a(h)).
-18*h**2
Let g(t) = 2*t**2 - 2*t + 145. Let w(s) = -9*s. Determine w(g(b)).
-18*b**2 + 18*b - 1305
Let n(q) = 522*q. Let z(v) = 23*v + 9. Let g(o) = 16*o + 6. Let l(i) = -3*g(i) + 2*z(i). Determine l(n(a)).
-1044*a
Let v(s) = -s**2. Let m(t) = -2005*t - 17. Determine m(v(d)).
2005*d**2 - 17
Let h(v) = -v. Let i = 110 - 108. Let r(y) = -y - 2*y + i*y - 7*y. Calculate r(h(b)).
8*b
Suppose h + 2*u = -8, -h - 4*u - 70 = 4*h. Let n(d) = -d. Let o(t) = 5*t - 4*t**2 + t**2 + 13*t. Let v(s) = h*n(s) - o(s). Let w(b) = 2*b. What is v(w(z))?
12*z**2
Let k(i) = 2*i + 112. Let b(s) = 2*s**2 + 10. Let m(f) = 1. Let l(t) = b(t) - 10*m(t). Determine l(k(d)).
8*d**2 + 896*d + 25088
Let g(c) = 124*c. Let u(z) be the second derivative of -z**3/6 - z - 43. What is u(g(a))?
-124*a
Let s(l) = -170*l**2 - l. Let h(q) = 6*q. Let o(c) = 2*c. Let b(t) = -2*h(t) + 7*o(t). Calculate b(s(z)).
-340*z**2 - 2*z
Let k(d) = 6*d + 1. Let n(a) = 5*a - 32. Give n(k(r)).
30*r - 27
Let u(z) = -2918*z - 6. Let y(h) = -2*h. Calculate u(y(v)).
5836*v - 6
Let n be (3/4)/(1/4). Let l(w) = -4*w + n*w - w. Let x(g) = 12*g. Give x(l(y)).
-24*y
Let b(q) be the first derivative of -4*q**4/3 - 13*q - 12. Let u(a) be the first derivative of b(a). Let c(d) = -2*d. Determine u(c(w)).
-64*w**2
Let a(x) = 0*x**2 + 8*x**2 - 6*x**2 - x**2. Let g(b) = 44*b. Determine g(a(d)).
44*d**2
Suppose 42 = -3*t + 10*t. Let c(l) = l - 1. Let q(x) = -8*x + 6. Let a(w) = t*c(w) + q(w). Let n(i) = 22*i. Determine n(a(s)).
-44*s
Let s(p) = -126 + 243 - 6*p - 117. Let w(x) = 16*x. Determine s(w(u)).
-96*u
Let i(q) = -4*q**2. Let t(h) = -3*h. Let l be 16/(-48)*(-1 - -13). Let b(u) = 10*u. Let z(c) = l*b(c) - 14*t(c). Determine z(i(o)).
-8*o**2
Let n(v) = 5*v. Let o = -29 - -31. Let s(w) = 3*w**o + 2*w**2 - 2*w**2. Determine n(s(y)).
15*y**2
Let v(u) = 2*u**2. Let b(k) = 48*k + 6. Let h(p) be the first derivative of 47*p**2/2 + 5*p + 11. Let a(g) = -5*b(g) + 6*h(g). What is a(v(y))?
84*y**2
Let l(f) = 3*f + f - 1 - 1. Let t(n) = 18*n. Let c(k) = -7*k. Let b(v) = 8*c(v) + 3*t(v). Give l(b(h)).
-8*h - 2
Let f(d) = -5*d + 3. Let b(g) = -11*g + 7. Let q = 4 + -7. Let l be (4 - 3)*(10 + q). Let u(r) = l*f(r) - 3*b(r). Let a(h) = -5*h**2. What is a(u(c))?
-20*c**2
Let w(j) = -3*j - 2. Let r(q) = 2*q + 1. Let f(y) = -4*r(y) - 2*w(y). Let i(m) = -13*m. Determine f(i(l)).
26*l
Let r = 697 - 134. Let z(d) = -563 + r - 2*d. Let u(j) = -13*j. Calculate z(u(c)).
26*c
Let b(f) = 10*f. Let i(a) = 1698*a**2 + 45. Calculate i(b(y)).
169800*y**2 + 45
Let j(a) = a. Let p(k) = 628*k**2 + 209*k. Give j(p(f)).
628*f**2 + 209*f
Let m(l) be the second derivative of -l**4/6 + 3*l. Suppose 0 = 5*k - 6 - 4. Let f(n) = -n**2 - 11*n**2 + 17*n**k. Determine f(m(y)).
20*y**4
Let a(z) = -6*z. Let c(j) be the third derivative of -17*j**4/24 + 7*j**2 - 3. What is c(a(m))?
102*m
Let y(q) = 489*q. Let x(s) = 168*s**2. Determine y(x(g)).
82152*g**2
Let h(j) = j**2. Let s(z) = 28*z - 12. Let i(o) = 65*o - 36. Let b(y) = -3*i(y) + 8*s(y). What is h(b(k))?
841*k**2 + 696*k + 144
Let l(c) = 8*c**2 + 5*c - 10. Let g be l(3). Let m(b) = -g*b + 38*b + 36*b. Let t(r) = -8*r. Calculate t(m(z)).
24*z
Let s(r) = -36858*r**2 + r - 2. Let g(v) = 2*v. Calculate g(s(q)).
-73716*q**2 + 2*q - 4
Let l(b) = b. Let h(t) be the third derivative of -t**4/6 - t**3/3 + 16*t**2 + 2*t. Calculate l(h(z)).
-4*z - 2
Let i(q) = q**2 - 6*q + 6. Let l(r) = r**2 - 7*r + 7. Let b(d) = 7*i(d) - 6*l(d). Let u(v) = 29*v**2. Give b(u(j)).
841*j**4
Let d(x) = -3*x. Let g(l) = l + 3. Let k(w) = -7*w + 3. Let r(y) = -6*g(y) - k(y). Determine r(d(n)).
-3*n - 21
Let p(m) = -2*m**2 - m + 1707. Let f(d) = -8*d**2. Calculate p(f(v)).
-128*v**4 + 8*v**2 + 1707
Suppose -10*t - 115 = -11*t. Let x(r) = 63*r + 56*r - t*r. Let i(j) = 6*j - 10. Let m(l) = -2*l + 3. Let s(n) = -3*i(n) - 10*m(n). What is x(s(h))?
8*h
Let g(j) = -j**2. Let z be -1 + (2/(-7) - 64/(-28)). Let w(q) = 1 - z - 15*q + 6*q. Calculate w(g(n)).
9*n**2
Let w(h) = -5649*h. Let o(b) = 8*b**2. Give o(w(x)).
255289608*x**2
Let i(p) = -6*p. Let u(w) = 12*w**2. Determine i(u(g)).
-72*g**2
Let z(f) = 8*f**2. Let p(g) be the second derivative of g**3/6 + 9*g**2/2 + 8*g. Calculate z(p(i)).
8*i**2 + 144*i + 648
Let a be (3/(-9))/((-1)/9). Let r(y) be the second derivative of 0*y**3 + 0*y - y**3 - a*y - 4*y. Let h(c) = 2*c. Determine r(h(z)).
-12*z
Let x(h) be the second derivative of -h**4/3 - 215*h. Let u(i) = 13*i**2. Determine u(x(p)).
208*p**4
Let i(x) = 4*x**2. Let r = 20 - 18. Let f(j) = -j**r - 2*j**2 + 4*j**2 + 0*j**2. Calculate i(f(m)).
4*m**4
Let h(j) be the third derivative of j**7/1260 - j**4/8 - j**2. Let d(l) be the second derivat | {
"pile_set_name": "DM Mathematics"
} |
3 + 262*x**2 - 2100. What is the third derivative of m(w) wrt w?
-17124
Let j(k) = -k**2 + 4*k + 1. Let v = -57 + 57. Let n be j(v). Differentiate -n + 15*h + 7 - 20 with respect to h.
15
What is the derivative of -486*w - 1453*w + 935 + 916 wrt w?
-1939
Let l(i) = 10*i - 15*i**3 + 14*i**3 - 9*i**2 + 6 - 3. Let c be l(-10). Find the second derivative of -v - 4*v - c*v**3 + 0*v**3 - 9*v wrt v.
-18*v
Let x = -35 + 38. Let s be -1*x - (-14 + 7). Differentiate 4*o**3 + 21 - 1137*o**4 + 1143*o**s - 4*o**3 wrt o.
24*o**3
Let i(p) be the first derivative of -33*p**4/2 + 10*p**3/3 + 769*p - 701. Find the first derivative of i(h) wrt h.
-198*h**2 + 20*h
Suppose 8*d - 28 + 4 = 0. Suppose -3*m + k = -39, m - 59 = -d*m - k. Find the third derivative of -m*f**2 - 10*f**3 - 8*f + 2*f + 6*f wrt f.
-60
Suppose 3*o - 4*w = 68, 0 = -7*o + 6*o + 5*w + 41. Find the second derivative of 47*g**3 + o + 3*g**3 - 24 - 6*g + g wrt g.
300*g
Let u(m) = -5*m - 2. Let b(s) = -590*s + 1482. Let d(c) = -2*b(c) + 10*u(c). What is the first derivative of d(r) wrt r?
1130
Let n(q) be the first derivative of -292 - 14/5*q**5 + 0*q**4 + 5/2*q**2 - 47*q + 0*q**3. Differentiate n(d) with respect to d.
-56*d**3 + 5
Let y(z) = -8*z**4 + 26*z**3 + 63. Let o(r) = 7*r**4 - 27*r**3 - 64. Let f = 252 - 257. Let q(w) = f*y(w) - 6*o(w). What is the first derivative of q(t) wrt t?
-8*t**3 + 96*t**2
Let d be (306/85)/(-1 - (-47)/50). Let l be ((-15)/d)/(1/20). What is the third derivative of 5 + 2*n**2 + 3*n**2 - 3*n**3 - l wrt n?
-18
Let m(x) be the third derivative of 114*x**5/5 - 371*x**4/12 + 108*x**2. Find the second derivative of m(k) wrt k.
2736
What is the second derivative of -6*x + 79 + 113 - 160 + 922*x**2 + 80 wrt x?
1844
Suppose -4*b - 5*u + 162 = -38, 0 = 4*b + 2*u - 188. What is the second derivative of f**4 - 4*f - 41*f**4 + 2 - b*f**4 wrt f?
-1020*f**2
Let l(d) = -d + 19. Let z(i) = 1014*i + 1008. Let g(r) = -4*l(r) + z(r). What is the derivative of g(f) wrt f?
1018
Suppose -62*n + 32 = -46*n. Find the third derivative of -n*k**3 + 10*k**6 - 4*k + 16*k - 56*k**2 - 12*k wrt k.
1200*k**3 - 12
Let i = -26 - -36. Suppose -s + 2*v + 2 = 0, 5*s + 5*v = 2*v + i. Find the second derivative of -6*y - 20*y**3 + 20*y**3 + s*y + y**5 wrt y.
20*y**3
Let k(t) be the second derivative of -27*t + 29/21*t**7 + 3/2*t**2 - 13/12*t**4 + 0*t**5 + 0*t**6 + 0 + 0*t**3. What is the third derivative of k(f) wrt f?
3480*f**2
Let k = -7878 + 7884. Let j(p) be the second derivative of -k*p + 0 + 17/6*p**3 - 31/2*p**2. What is the derivative of j(y) wrt y?
17
Let c(l) be the third derivative of l**7/105 - 53*l**6/30 + 7*l**5/60 + 5*l**3/3 - 5*l**2 - 146. What is the third derivative of c(h) wrt h?
48*h - 1272
Let p(b) = -b**3 + 11*b**2 + 12*b + 2. Let m be p(12). What is the second derivative of 45*c + 47*c**m - 14*c**2 + 30*c**2 + 46*c wrt c?
126
Differentiate 2*z**2 - 954 - 2*z**2 - 907*z**3 - 694 + 330 with respect to z.
-2721*z**2
Let i(c) be the first derivative of 218*c**3 - 309*c**2 + 3*c + 2110. Find the second derivative of i(u) wrt u.
1308
Let s(l) = l**2 + 9*l. Let t be s(-10). Suppose t*y = 4*y + 18. What is the derivative of 1 - 18*b**3 - 8 + 0 + 3*b**y wrt b?
-45*b**2
Let y(q) = -10*q**3 - 93*q**2 + q - 5. Let h(o) = -14*o**3 - 141*o**2 + o - 8. Let z(r) = -5*h(r) + 8*y(r). Find the third derivative of z(g) wrt g.
-60
What is the third derivative of -14914*m**5 + 562*m**2 + 952*m**2 + 14914*m**5 + 1860*m**6 wrt m?
223200*m**3
Find the third derivative of 6*i**3 - 2*i**4 - 246*i**2 - 512*i - 17*i**5 + 506*i + 6 - 4*i**3 - 4 wrt i.
-1020*i**2 - 48*i + 12
Let v be (-40 + 41)/((-2)/(-4)). Find the third derivative of 2*p**6 - v*p**3 + 31 + 35*p**2 + 32 - 63 wrt p.
240*p**3 - 12
Suppose 2*d - 7*d = -45*d. Let i(o) be the first derivative of 0*o**4 + 0*o**2 + 21/5*o**5 - o**3 + 14 + d*o. Find the third derivative of i(t) wrt t.
504*t
Find the second derivative of 2401*i - 42*i**3 + 76*i**3 - 184*i**2 - 32*i**3 + 789*i**2 wrt i.
12*i + 1210
Let d(f) be the third derivative of -f**6/60 - 77*f**5/3 + 151*f**3/2 + 2*f**2 - 435*f. What is the derivative of d(g) wrt g?
-6*g**2 - 3080*g
Find the third derivative of 315*x - 8*x**3 + 59 + 71*x**5 - 136*x**5 - 314*x - 202*x**5 + 9*x**2 wrt x.
-16020*x**2 - 48
Let j(m) = 108*m**2 + 35*m + 5. Let c(r) = -36*r + 1 - 107*r**2 - 6 + 1. Let i(v) = -5*c(v) - 4*j(v). What is the second derivative of i(b) wrt b?
206
Let c(v) be the third derivative of -1139*v**6/120 - 7*v**4/24 + 5269*v**3/3 + 3954*v**2. Differentiate c(z) with respect to z.
-3417*z**2 - 7
Let w(o) be the second derivative of -5*o**5/4 - 8*o**4/3 + 121*o**3 + 6*o + 119. What is the second derivative of w(x) wrt x?
-150*x - 64
Let i(v) = v**3 - 2*v + 45. Let t be i(0). What is the second derivative of -t*l**4 - 32*l + 58*l - 1 - 27*l - 2 wrt l?
-540*l**2
Let p be 5 + 5 + 32/(-4). Find the third derivative of -5*s**4 + 4*s**4 + 7*s**3 + 6*s**4 - 3*s**p - 30*s**2 wrt s.
120*s + 42
Suppose -25*u + 28*u - 228 = 0. Let x be (-6)/8 + u/16 + -1. Find the second derivative of 4*c + 22*c**x - 2*c + 7*c wrt c.
132*c
Find the third derivative of 416*z**6 - 407*z**5 + 2*z**2 + 183*z + 407*z**5 + 3*z**2 + 605*z**6 wrt z.
122520*z**3
Let f(c) = -5604*c**2 + 1597*c. Let t(n) = 1852*n**2 - 533*n. Let q(s) = -2*f(s) - 7*t(s). Find the second derivative of q(a) wrt a.
-3512
Let c(x) be the second derivative of -5/12*x**4 + 0*x**6 - 1 - 5/6*x**3 + 0*x**5 + 0*x**2 - 1/7*x**7 - 5*x. What is the third derivative of c(t) wrt t?
-360*t**2
Let s = 24 + -21. Suppose s - 43 = -5*b. What is the second derivative of 4*h - 10*h**5 + b*h + h + 9*h**5 wrt h?
-20*h**3
What is the second derivative of -59*p**2 + 144*p**2 + 253 + 86*p**2 + 145*p - 247 wrt p?
342
Let t = -8 - -10. What is the third derivative of -161 - 164 - 17*k - t*k**2 + 325 - 26*k**3 wrt k?
-156
Let u be (-394)/(-12) - (0 + 2/(-12)). What is the derivative of -45*z - u*z - 66 + 11*z - z wrt z?
-68
What is the second derivative of 3467*a + 4953*a + 10912*a**2 - 1155*a wrt a?
21824
What is the third derivative of -33*f**2 + 7*f**2 - 32*f - 36*f + 144*f - 1651*f**4 wrt f?
-39624*f
Suppose -f - 670 = -11*f. Find the third derivative of f*q - 67*q + q**6 - 4*q**3 + 0*q**6 + 4*q**2 wrt q.
120*q**3 - 24
Suppose 0 = -3*n + 42 - 0. Suppose 20*c - n*c = 24. What is the derivative of -4*z + 4*z - 6 - 12*z - c wrt z?
-12
Let o(d) = -39*d**3 + 198*d**2 + 4442. Let f(w) = -10*w**3 + 49*w**2 + 1110. Let k(j) = -9*f(j) + 2*o(j). What is the first derivative of k(z) wrt z?
36*z**2 - 90*z
Let y = 4666/3 + -1549. Let b(n) be the first derivative of -14 - 21/4*n**4 - y*n**3 + 0*n**2 + 0*n. Find the third derivative of b(g) wrt g.
-126
Let d(f) be the first derivative of -2414*f**7/7 + 1640*f**3/3 + 1794. Find the third derivative of d(z) wrt z.
-289680*z**3
Let h(c) be the second derivative of 31*c**6/15 - c**5/10 + c**4/6 + 2059*c**2/2 - 170*c + 6. Find the third derivative of h(s) wrt s.
1488*s - 12
Find the second derivative of 777 + p**3 + 27*p**5 - 2049*p + 6*p**4 + 29*p**4 - 69*p**5 - 776 wrt p.
-840*p**3 + 420*p**2 + 6*p
Suppose -v - 5*c = -15, -5*v + 5*c + 8 + 7 = 0. Find the second derivative of 33*p + 19*p**v + 2298*p**3 - 2298*p**3 wrt p.
380*p**3
Let c(d) = 851*d**2 + 10*d + 7. Let a(n) = n**2 + n - 10. Let q(m) = a(m) + c(m). What is the second derivative of q(f) wrt f?
1704
Let y(a) be the first derivative of -242*a**7/7 - a**5 + 1465*a**3/3 - 1064. Find the third derivative of y(k) wrt k.
-29040*k**3 - 120*k
Let o(n) = n**3 + 2 + 15*n + 3 + 27*n**2 - 43*n. Let f be o(-28). Find the second derivative of 5*d - f*d**5 + 4*d + 8*d + 2*d wrt d.
-100*d**3
Suppose -38*s + 42*s = 100. Find the second derivative of 84 - 24 - s + 2*q + 40*q**5 wrt q.
800*q**3
What is the third derivative of 95*y**2 + 4 + 3*y**2 - 10 - 649*y**4 + 6 wrt y?
-15576*y
Let l(c) be the second derivative of 2333*c**7/14 + 74*c**3 + c**2/2 - 1542*c. Find the second derivative of l(j) wrt j.
139980*j**3
Let l be (7/(84/8))/(2/15). What is the second derivative of 60*m**5 - 22*m**5 - 20*m**l + 102*m wrt m?
360*m**3
Let f(j) = -268*j**2 + 13*j - 19*j + 20 - 3. Let z(b) = 401*b**2 + 9*b - 26. Let u(m) = 8*f(m) + 5*z(m). What is the second derivative of u(v) wrt v?
-278
Let j(v) be the third derivative o | {
"pile_set_name": "DM Mathematics"
} |
) = -i**2 + 16*i + 36. Let a be p(18). Let s be -30 + 35 + ((-274)/64 - 1). Which is greater: a or s?
a
Let i = -0.11074 + 47.81774. Let c = -1.193 - i. Let y = -49 - c. Which is smaller: 14 or y?
y
Let d = -0.07551 + -716.62449. Let b = d - -717. Which is greater: -4.9 or b?
b
Let r = -13/201 + 55703/402. Let o = -125 + -6. Let i = o + r. Which is smaller: i or 8?
i
Let w = 8227 + -287951/35. Which is bigger: w or 10?
10
Let p = -925 + -511. Let u = -11525/8 - p. Is u greater than or equal to -0.1?
False
Let t be (20/5)/(4/6). Suppose t = -3*u + 12. Let p be (30/4 + u)*2. Are p and 18 non-equal?
True
Suppose -o + 132 = 5*d, 2*o - 284 = -0*o - 5*d. Suppose 3*n = 8*n - 4*h - 217, -4*n - 4*h + o = 0. Is 127/3 < n?
False
Let d be (-27231680)/1433264 + (-19)/(-1). Do d and -1 have different values?
True
Let d = 12289/35 + -1757/5. Is d less than or equal to 3903?
True
Let j = 35.5 - 34.01. Let p = -0.99 + j. Let m = -18 + 28. Which is smaller: p or m?
p
Let s(j) = -10*j**3 - 21*j**2 - 35*j + 3. Let q(c) = -3*c**3 - 7*c**2 - 12*c + 1. Let a(u) = 7*q(u) - 2*s(u). Let l be a(-3). Which is greater: l or 4?
l
Let n = -15198.9 + 15199. Which is bigger: n or 76.47?
76.47
Let m be 2*6/30 + (-7272)/(-45). Is -0.1 less than m?
True
Let t = 1784 + -1759. Let x = 70 - 43. Which is greater: x or t?
x
Let l = 19265 - 19267. Which is smaller: l or -3049?
-3049
Let w(z) = -28*z + 60. Let a(t) = 27*t - 61. Let d(y) = -3*a(y) - 4*w(y). Let r be d(4). Is 68 not equal to r?
True
Suppose -p = 0, -5*r + 6*p - 2*p + 25 = 0. Suppose 0 = r*x - 24 + 59. Let n = 13 + x. Which is smaller: n or 20/3?
n
Suppose -53*w = -33*w - 260. Let q = 2 + -14. Let s = w + q. Is 2 at least as big as s?
True
Let h(x) be the third derivative of 41/6*x**3 + 0*x + 19*x**2 - 1/4*x**4 + 0. Let n be h(6). Which is greater: n or 21/4?
21/4
Suppose -4*b = 3*g - 16 - 71, -3*g = -5*b - 60. Let a = -6403 + 6434. Is g > a?
False
Let p(x) = x**3 + 30*x**2 + 84*x - 68. Let o be p(-27). Which is smaller: -1328/9 or o?
o
Let a = -2/5519 + -286978/27595. Is a < -11?
False
Let z(p) = 5*p**2 + 4*p - 16. Let i be z(10). Suppose 622 - i = 7*r. Is r not equal to 91/6?
True
Let k be (-96)/12*5/10. Let d = -0.48 - 1.32. Is k not equal to d?
True
Suppose -3*g = 5*h - 11, -4*h = 20 - 0. Suppose g*y - 54 = 9*y. Let b be ((-76)/(-6))/((-4)/(-6)). Which is smaller: y or b?
y
Let j = -0.3 - 2.7. Let c = -274.45 - -1.45. Let o = -277 - c. Which is smaller: j or o?
o
Suppose -13*a - 6 = -10*a, 5*j - a + 8 = 0. Do 0.631 and j have the same value?
False
Let l be -5 + 7 + -2 + 10. Let i(u) = -u**2 + u + 48. Let g be i(l). Are g and -41 non-equal?
True
Let w(h) = 3*h + 50. Let x be w(20). Let z be 30/8*(7 - 1407/(-63)). Is x at most as big as z?
True
Let b = 34 - 29. Let f(m) = -m**2 + 4*m + 6. Let q be f(b). Let w be 16/(-462)*(3 + (-30)/8). Is w greater than q?
False
Suppose 48*h + 34190 = 34142. Let j = 48/5 + -482/45. Is j > h?
False
Let c(r) = -26*r - 177. Let p be c(-7). Which is smaller: 106/25 or p?
106/25
Suppose -i = 3, 3*a + 0*i + 2*i + 54 = 0. Let w be ((-330)/(-385))/(a/(-7)). Is -3 smaller than w?
True
Let a(v) = -v + 9. Let x = 22 + -10. Let j be a(x). Let w be (((-6)/(-28))/j)/(2/4). Which is smaller: w or 3/4?
w
Let g be 4606907/575868 + 3*48/(-18). Which is greater: g or 1?
1
Let u = 715 + -1373. Which is smaller: -660 or u?
-660
Suppose 37 - 51 = -a + 2*p, -a = 3*p - 29. Suppose 3*n - 3*o + 45 = 0, -30 = n + 4*n + 4*o. Let c be (-54)/a - 2/n. Is -3/5 >= c?
True
Suppose -12*d - 38 = 22. Let t = 554 - 379. Let x be ((-245)/t)/((-4)/(-10) - 0). Which is smaller: d or x?
d
Suppose -143*q = -183*q - 62720. Is q >= -1568?
True
Let n(t) = -2*t**2 - 13*t - 3. Let h(w) = -3*w**2 - 20*w - 4. Let p(k) = -5*h(k) + 7*n(k). Let u be p(-9). Let b = 68 + -1361/20. Which is bigger: u or b?
b
Let d = 0.131 - -0.479. Let r = 1.61 - d. Is r less than or equal to -1/55?
False
Let c = 427.4 - 354.4. Which is smaller: 0.9 or c?
0.9
Let v be (-3 + (-196)/(-65))/(36/2178420). Let i = 931 - v. Which is bigger: i or 0.1?
0.1
Let h(k) = -k**2 - 77*k - 750. Let j be h(-10). Do j and -83 have different values?
True
Suppose 3*a - 105 = -0*a. Let y = 3835 - 3795. Is y < a?
False
Let g = -3 + 10. Suppose -5*q - 2396 = -4*f, -8*f + 3*f = -5*q - 2990. Let y = f + -586. Are y and g non-equal?
True
Let g be -11 - (14/(-7) + 1177). Which is smaller: -4743/4 or g?
g
Let q(v) = -188*v**2 - v + 1. Let k be q(-1). Suppose 0 = 2*a - 9*a - 1302. Is k greater than a?
False
Let x = -24599/72 - -3238/9. Let k = x + -5937/328. Let l be (-2)/4 - (-5)/10. Which is bigger: k or l?
k
Suppose -6*g + 789 = -3*g. Suppose -g*c - 136 = -261*c. Which is smaller: -70 or c?
-70
Let n = -1.4054 - 332.5846. Let j = n + 335. Is j smaller than 0.1?
False
Let n = 335.0087 - 0.0087. Is -2 > n?
False
Let v be ((-14)/(-6) - 1) + -2. Let x = 0.0787 - -778.0213. Let z = -775 + x. Is z bigger than v?
True
Let y = 43478 - 43624. Suppose 740 = -7*o + 2*o. Which is greater: o or y?
y
Let a = 78/47 + -56069/33417. Is a less than or equal to -1?
False
Let r = 5 + -9. Suppose -2*x = -3*s + 1, 4*s = -3*x + 4*x - 2. Let l be 5/s - (-75)/105. Is r smaller than l?
False
Suppose 15*r = 15836 - 18311. Let z be ((-9)/3)/(-3) + -165. Is z less than or equal to r?
False
Let r(s) = -s**3 + 16*s**2 + s - 19. Let z = 47 + -31. Let l be r(z). Let m = l - -2. Are m and -1/53 nonequal?
True
Let v = -75579123/1865 - -40525. Is v equal to 1?
False
Let i(h) be the third derivative of -19/6*h**3 + 4*h**2 + 0 - 1/8*h**4 + 0*h. Let b be i(-6). Which is bigger: b or 2/5?
2/5
Suppose -3 = -5*s - 23, 836 = -4*k - 5*s. Let u = 203 + k. Are u and -1/17 equal?
False
Let h be 0 + (-94367)/21 - 19/(399/(-14)). Is -4496 != h?
True
Let s = 11992 - 11978. Is 399/31 at least as big as s?
False
Suppose -921 = -3*x - 3*w, -2*x = 164*w - 163*w - 612. Which is bigger: x or 290?
x
Let x = 333705/2 + -3679693/22. Suppose -4*q + 1609 = 3*h, 4*q + 0*q - h - 1629 = 0. Let v = x + q. Which is smaller: 1 or v?
v
Let p be ((-4)/6*9)/(-4 - -1). Let c be 1/(-3) - 88/6. Let v = c - p. Are v and -16 nonequal?
True
Let g(f) = -8*f**2 - 131*f + 42. Let s be g(-19). Is -1075/3 bigger than s?
False
Suppose 0 = v - g + 441, 0 = -13*v + 9*v + g - 1752. Let m be (-1 - 436) + -1 + 0. Is m >= v?
False
Suppose 636 = -170*n + 174*n. Let s = 218 - n. Is 59 less than s?
False
Let w = 27220 - 27980. Is 6 at most as big as w?
False
Let b = -154087 - -16641539/108. Let p = 1/108 + b. Which is greater: -1 or p?
p
Let k be 192/13 + -7 + -4 - 16/4. Let p be 4/6 - (-4)/(-6). Is p at least k?
True
Let n be (-4)/18 - 6891/(-27). Let c = n - 254. Is 1/77 > c?
False
Suppose 4*t + 12 = 8*t. Suppose -r + 1 = -t, 3*r = -2*m - 340. Does m = -176?
True
Let o = 10.15 + -3.15. Is 1.017 smaller than o?
True
Let s = 2.9 - 3. Let p = -0.8 - s. Let g = p + 35.7. Is -0.1 >= g?
False
Let l = -11 + 92. Let y = l + -27. Let a = y + -55. Is a at most -1/90?
True
Let v be ((-191)/2)/(658/188). Which is greater: -27 or v?
-27
Let k(a) = a**2 + 2*a. Let b be k(-2). Let l be ((2 - 153/78)/(-1))/((-48)/36). Which is greater: b or l?
l
Suppose 3*u + v - 14 = 0, 4*v - 8 - 6 = 2*u. Suppose -47 = u*t - 4*f, 5*f = -5*t + 3*f - 61. Is t smaller than -14?
False
Suppose p = 2*p + 1, 2*p = 4*w - 10. Suppose -d + 2*a = -11, -5 = -d - w*a + 6. Let j = d + -22. Is -10 != j?
True
Let u be 8/(-36) + 169/(-9). Let n be (-15)/20 + (-10)/8. Let z(l) = 5*l - 8. Let d be z(n). Which is smaller: u or d?
u
Suppose 4*z = 12*z + 32. Let d be (26/z)/(-13)*(-44)/17. Are d and 0 unequal?
True
Let j be 1528/573*(-246)/8. Which is greater: j or -579/7?
j
Let p = 16859 + -12185. Is p less than or equal to 4674?
True
Suppose 15171 = -61*i + 208724. Is i > 3172?
True
Let i be 1/(35/30) + (-11)/(-77)*-10576. Is i greater than -4529/3?
False
Let i = 280 - 129. Suppose 39 = -5*f - i. Suppose 5*b - 39 + 229 = 0. Are f and b equal?
True
Let i(v) = 5*v**3 + 41*v - 15*v**2 - 6*v**3 - 5*v**2 + 0*v**2 - 9. Let a be i(-22). Which is bigger: a or 56?
a
Let u(t) = -t**2 - 44*t + 6. Let w be u(-14). Let n = w + -442. Which is bigger: n or -22?
n
Let g be ((-1)/(-6) - (-260)/(-312))/((-86056)/(-24)). Is g greater than -1?
True
Let z = -0.9235 + -0.0765. Are -2680 and z equal?
False
Let x be (18/(-12))/(2/(-4)). Su | {
"pile_set_name": "DM Mathematics"
} |
11982 - y. What is w rounded to 5 decimal places?
0.00018
Let v = -20.7 - -20.6999994735. What is v rounded to 7 dps?
-0.0000005
Let s(k) = 5*k - 3. Let h be s(1). Suppose 4*w + 2396 = -4*t + h*t, -1205 = t - 5*w. Round t to the nearest one hundred.
-1200
Let q be ((-9)/(-3))/(8 + -7). Let h be (-16)/(-6) - (-1)/q. Suppose -h*w = -3*x + 299985, w + 146984 = -x + 46979. What is w rounded to the nearest 1000000?
0
Suppose 4*x + 255900 = -54460. Round x to the nearest 1000.
-78000
Let x = -51.8665 - 0.0335. Let c = -24 - 32. Let w = c - x. What is w rounded to the nearest integer?
-4
Let h = 0.13773 + -498736.13773. Let u = h - -498743.999904. Let z = 8 - u. Round z to 5 decimal places.
0.0001
Let c be (4 - (-9)/(-6)) + (-1374345)/(-14). What is c rounded to the nearest 1000?
98000
Let o = 549.27779 - 289.27622. Let d = -260 + o. Round d to four decimal places.
0.0016
Let q = -880 + 654.8. What is q rounded to the nearest 10?
-230
Let t = 0.121 + -0.1211614. What is t rounded to 5 dps?
-0.00016
Let m = -320.5 - -273. What is m rounded to the nearest ten?
-50
Suppose 0*v = 2*v - 1458690. Let z = -13420010 - v. Let c = -7149355 - z. Round c to the nearest 1000000.
7000000
Let p = -2 - 4. Let z = p - -32. Let j = -26.0000068 + z. What is j rounded to six decimal places?
-0.000007
Let o = 1.05 - 1.05827. Round o to 3 decimal places.
-0.008
Let w = 3286 + -3297.176. Let i = w + -0.024. Let f = i - -9. What is f rounded to the nearest integer?
-2
Let u(z) = 2700*z**2 + 70*z. Let b be u(-20). Round b to the nearest 10000.
1080000
Let r be (-3)/(27/2) + 2744/36. Suppose w = -s + 45, 4*s - 144 - 41 = w. Let q = s - r. Round q to the nearest one hundred.
0
Let b = -84 + 60. Let g = 22116 + -22140.022. Let m = b - g. What is m rounded to two dps?
0.02
Let q(f) = -706*f**3 + 3*f**2 - 5*f - 7. Let h be q(-1). Round h to the nearest 10.
710
Let w = 139.999889 + -140. Round w to 5 dps.
-0.00011
Let j = -110 - -116. Suppose -4*s = j*s + 11400000. What is s rounded to the nearest one hundred thousand?
-1100000
Let w = 31.6 + -4.1. Let d = -42 - -63. Let q = w - d. Round q to 0 decimal places.
7
Let f = -8.99473 - -8.99. Let p = -0.405 - -0.4. Let l = p - f. What is l rounded to four decimal places?
-0.0003
Let j = 217 - 365. Round j to zero decimal places.
-148
Let z = -159 - -158.5435. Round z to two dps.
-0.46
Suppose 4 = 5*g + n, n - 5*n = 4*g - 16. Let v be (-10 + -790)*(-90 + g). What is v rounded to the nearest 10000?
70000
Suppose -430988 = -f - 3*i, 9*f - 13*f - 3*i + 1723988 = 0. What is f rounded to the nearest ten thousand?
430000
Let w = -80386722 + 80386632.999941. Let q = w - -89. Round q to five dps.
-0.00006
Let h = -65 + 0. Let g = h - -32. Let o = 33.00000124 + g. Round o to seven decimal places.
0.0000012
Let m = 89.3164 - 0.2164. Round m to the nearest 10.
90
Let v = -61 + 65. Suppose -5*t - d - 13381 - 1617 = 0, -v*t + d - 12002 = 0. What is t rounded to the nearest ten thousand?
0
Let x be (0 - 4) + 10 + -1. Suppose 120093 = x*b - 102987. Suppose 0 = 2*l + 4*r - b, 2*l - 3*r = 36637 + 7951. Round l to the nearest 1000.
22000
Let q = 10 + -10.9. Let s = q + 0.83. Let l = s - -0.042. What is l rounded to 2 dps?
-0.03
Suppose 0 = 3*r - 218 - 28. Suppose -2*d = 5*i + 783, -5*d = -4*i - 551 - r. What is i rounded to the nearest 10?
-160
Let t = -0.116 + 0.11. Let f = -8.406 - t. Let u = f + 8. What is u rounded to one decimal place?
-0.4
Let t = 67 - 66.9758. What is t rounded to two dps?
0.02
Let k = 770 - 770.00613. What is k rounded to three dps?
-0.006
Let z = -0.0232 - -414.0232. Let v = 414.000338 - z. Round v to five dps.
0.00034
Let f = 132 + -131.99699. What is f rounded to three decimal places?
0.003
Let l = 21926162897514.729 + -21924693902959.7290137. Let c = 1468994372 - l. Let m = c - -183. Round m to six dps.
0.000014
Let g = 74829978.75627877 + -74884372.94428. Let w = -54394.424 - g. Let y = w - -0.236. Round y to 7 dps.
0.0000012
Let m = -2.32 + 10.831. Round m to the nearest integer.
9
Let a = 0.12766 + -0.18353. Round a to two decimal places.
-0.06
Suppose -4*k + 0*k = -2*b - 192, 0 = 5*b - 3*k + 452. Let f = b + 213. Suppose -f = -2*g + 155. Round g to the nearest one hundred.
100
Let n = 0.03 + -0.17. Let m = -1793.13964 + 1793. Let v = m - n. Round v to four dps.
0.0004
Let i = 908.999988097 - 909. Round i to six decimal places.
-0.000012
Let r(g) = 257896*g - 24. Let h(l) = l**2 + 5*l - 5. Let k be h(-8). Let a be r(k). What is a rounded to the nearest one million?
5000000
Let j(n) = n**2 - 6*n - 7. Let u be j(6). Let g(d) = -7651*d - 1. Let h be g(u). Suppose h + 6444 = -2*l. What is l rounded to the nearest ten thousand?
-30000
Let r = 1121.3952 + -1125. Let m = -3.6 - r. Round m to 3 dps.
0.005
Let g = -44.9 - -45.68. Round g to one dp.
0.8
Let g(p) = 8 + 17505*p**2 + 552*p**2 - 14*p + 4*p. Let v be (2/6)/(4/72). Let o be g(v). What is o rounded to the nearest one hundred thousand?
700000
Let j(r) = -3*r**2 + 5*r**2 - 3*r**2 - r - 1 + 2*r**2. Let w(n) = -6107*n**2 - 4. Let f(l) = 3*j(l) - w(l). Let o be f(-3). Round o to the nearest ten thousand.
60000
Let m = -185224 - -185224.083143. Let c = 1.7 + -1.617. Let v = m - c. What is v rounded to 5 decimal places?
0.00014
Let d = -1.85 + -287.15. Let s = -288.9781 - d. Round s to three decimal places.
0.022
Let r be ((-4)/(-3))/((-12)/(-41490)). Suppose 14*m - 9*m = -r. Let p = -652 - m. Round p to the nearest 100.
300
Let d = -695.29 + 668.5. Let o = 47 + -74. Let c = d - o. What is c rounded to one decimal place?
0.2
Let r = -25.6 - -21.88. Round r to 1 decimal place.
-3.7
Let v = -824 - -823.99996951. Round v to six decimal places.
-0.00003
Let g = -6330 + 6330.0000004471. Round g to seven dps.
0.0000004
Let t = -0.047 + 0.1018. Round t to three decimal places.
0.055
Let a(c) be the third derivative of -23*c**5/20 + 3*c**4/8 + 2*c**3/3 + 14*c**2. Let o be a(3). Round o to the nearest 100.
-600
Let w = 37.1 + -39.36. Round w to the nearest integer.
-2
Let h = 31.9 + 3.1. Let r = -34.9999951 + h. What is r rounded to 6 decimal places?
0.000005
Let k(b) = -7*b - 28400009. Let m = 7 + -16. Let a(u) = -3*u - 14200004. Let n(z) = m*a(z) + 4*k(z). Let r be n(0). What is r rounded to the nearest 1000000?
14000000
Let w be ((-33880)/21)/((-4)/150). What is w rounded to the nearest 10000?
60000
Suppose 4*c - 141 = 223. What is c rounded to the nearest 10?
90
Let l = 0.65 + -0.13. Let j = 57.2289 - 57.748873. Let g = l + j. What is g rounded to five dps?
0.00003
Let f = 160.72944073 - 327.72944. Let s = f + 167. What is s rounded to seven dps?
0.0000007
Let o = 907 - 907.379. Let m = -30.421 + o. Round m to the nearest integer.
-31
Let s = -2.85 + 2.4. Let z = s + 20.45. Let c = 20.0001 - z. What is c rounded to 5 dps?
0.0001
Let y(z) = -z**2 + 10. Let k be y(5). Let h be (-61000)/(2/(-1)) - (15 + k). Round h to the nearest one thousand.
31000
Let h be 266242/(-1)*1099/(-14). Let k be h/(-1) - (3 - 0/(-2)). What is k rounded to the nearest 1000000?
-21000000
Let t be (-187 + 3)/(2*5/375). Round t to the nearest one thousand.
-7000
Suppose 2*u + 3880932 = 4*n - 1025056, -n = 5*u + 12265003. What is u rounded to the nearest 100000?
-2500000
Let g = -1819 + 1618.3. Let j = 207.99 - -3.01. Let x = j + g. Round x to zero decimal places.
10
Let q = 8 - -8. Suppose -q*t + 22*t - 1614 = 0. Round t to the nearest 10.
270
Suppose 0 = -2*n - 6, x + 3 = -x + 5*n. Let p = x - -9. Suppose -5*h - c = 832, p = 2*h + 4*c + 247 + 93. Round h to the nearest ten.
-170
Let n = 853 + -852.074. Round n to 1 decimal place.
0.9
Let y = -18 - -17.48. Let i = y - -0.4853. What is i rounded to 3 decimal places?
-0.035
Let j = -1244.0002256 + 1244. What is j rounded to four dps?
-0.0002
Let z = 1.41 - -0.01. Let t = z + -1.583. Round t to 2 decimal places.
-0.16
Let b(t) = 15435*t**2 - 38*t + 28. Let h be b(28). Let v be h - (2/(-4) - 0)*-8. What is v rounded to the nearest one million?
12000000
Let f = -652836025 - -652836108.09999641. Let a = -83.1 + f. What is a rounded to seven dps?
-0.0000036
Let i = -0.7 + 0.53. Let x = -26.480014 - -26.31. Let k = x - i. Round k to five dps.
-0.00001
Let y = -3.6 + 30.6. Let u = -3085877254.99999978 + 3085877228. Let o = y + u. What is o rounded to seven dps?
0.000 | {
"pile_set_name": "DM Mathematics"
} |
f) = -2*f**3 - 42*f**2 + 18*f - 326. Let q(d) = -36*b(d) + 2*k(d). What is the first derivative of q(z) wrt z?
-12*z**2 - 24*z
What is the third derivative of -144066*n**2 + 5840*n**6 - n + 287983*n**2 - 144386*n**2 wrt n?
700800*n**3
Let t(w) = 13*w**2 - 4709*w - 7871. Let v(f) = -137*f**2 + 47088*f + 78711. Let u(p) = 21*t(p) + 2*v(p). Differentiate u(b) wrt b.
-2*b - 4713
Let l = -354 - -355. Find the first derivative of -772*i + 773*i - 33*i**2 + l + 8 wrt i.
-66*i + 1
Let t(f) be the second derivative of 25*f**7/6 - f**6/30 + 377*f**4/6 + 17*f - 26. Find the third derivative of t(b) wrt b.
10500*b**2 - 24*b
Suppose -o + 4 = -2*s, s + 3*s + 8 = -5*o. Suppose 6*a - 5 - 13 = o. What is the second derivative of -5*n**3 - n + 20*n**3 + 2*n**a - 9*n wrt n?
102*n
Let p(z) = -2277*z - 2025. Let t(r) = 2278*r + 2010. Let k(d) = -6*p(d) - 5*t(d). Differentiate k(g) with respect to g.
2272
Let i(s) = 2*s**3 - 846*s**2 + 4*s - 6388. Let j(f) = 3*f**3 - 843*f**2 + 5*f - 6380. Let o(n) = 5*i(n) - 4*j(n). What is the derivative of o(b) wrt b?
-6*b**2 - 1716*b
Let f = -112 + 76. Let u = -33 - f. Find the second derivative of 16*y**3 - 9*y**u - 15*y**3 + 14*y wrt y.
-48*y
Let g(y) = 9643*y**3 - 30*y**2 - 68. Let m(l) = -9647*l**3 + 36*l**2 + 70. Let x(c) = 4*g(c) + 3*m(c). What is the third derivative of x(u) wrt u?
57786
What is the third derivative of 14*i + 3*i**4 + 7557*i**3 + 5*i**2 - 3805*i**3 - 397*i - 3675*i**3 wrt i?
72*i + 462
Let f(m) be the first derivative of -3*m**7/7 + 83*m**6/2 - 197*m**3/3 - 712. What is the third derivative of f(h) wrt h?
-360*h**3 + 14940*h**2
Suppose -1518 = -14*t + 288. Find the second derivative of t*f**2 + 51 + f + 9 - 81*f**2 wrt f.
96
Find the third derivative of -745*i**6 - 1066*i**6 + 1360*i**2 + 578*i**2 wrt i.
-217320*i**3
What is the derivative of 45*b - 6501*b + 511 + 13680 wrt b?
-6456
Let f = -566 - -568. Differentiate f*p + 0*p - 23 - 8*p**2 + 47 - 5*p + 22 wrt p.
-16*p - 3
Let p(s) = -s**4 + 19*s**3 - 116*s**2 - s - 1. Let t(b) = -2*b**4 + b**3 + b**2 - b - 1. Let d(i) = -7*p(i) + 7*t(i). Find the third derivative of d(k) wrt k.
-168*k - 756
Let o(z) be the first derivative of -275*z**6/6 - 1300*z**3/3 + 1281. What is the third derivative of o(n) wrt n?
-16500*n**2
Let j(r) = 952*r - 80. Let n(d) = 1906*d - 169. Let i(x) = 5*j(x) - 3*n(x). Differentiate i(q) wrt q.
-958
Suppose 6 = 5*z + 3*x - 11, 0 = 4*z + 2*x - 14. Find the second derivative of -4 + 19*b - 4*b - 5 + b**z - 17*b wrt b.
12*b**2
Let x(s) be the third derivative of -214*s**5/15 + 895*s**3/3 - 291*s**2 + s. What is the derivative of x(y) wrt y?
-1712*y
Find the third derivative of 308*a**3 + 693*a**2 - 70*a - 70*a + 142*a wrt a.
1848
Let b(d) be the second derivative of -d**4/6 - 393*d**3/2 + 2442*d**2 - 4722*d. What is the first derivative of b(v) wrt v?
-4*v - 1179
Find the second derivative of -18 - 365*p**3 + 207*p**3 + 5681*p - 5663*p - 1692*p**3 wrt p.
-11100*p
Let d(b) = b**3 - 16*b**2 + 51*b + 14. Let u be d(12). What is the second derivative of 21*y**4 + u*y - 2*y**4 + 4*y**3 + 22*y - 5*y**4 wrt y?
168*y**2 + 24*y
Let c(n) be the third derivative of n**7/210 + 931*n**6/120 + 2747*n**5/30 + 2677*n**2 + 2*n. Find the third derivative of c(y) wrt y.
24*y + 5586
Let s(p) = 69*p**3 + 2*p**2 - 6*p - 4. Let g(w) = -w**2 + w + 2. Let r = -55 - -57. Let y(m) = r*g(m) + s(m). Find the second derivative of y(f) wrt f.
414*f
Suppose -513 = -21*l + 12*l. Let a = -55 + l. What is the third derivative of h**5 + 91*h**2 - 47*h**2 - 31*h**a wrt h?
60*h**2
Let s(m) = -1218*m**2 + 1917*m + 16. Let c(x) = -1217*x**2 + 1916*x + 24. Let z(v) = -2*c(v) + 3*s(v). Find the second derivative of z(r) wrt r.
-2440
Let b(w) = -60*w - 74. Suppose -12*q - 38 = -26. Let o(t) = 1. Let p(l) = q*b(l) - o(l). Find the first derivative of p(f) wrt f.
60
Let m(w) be the first derivative of -3488*w**2 - 4618*w - 16140. Differentiate m(d) with respect to d.
-6976
Let v be ((-8)/(-6))/(4/42). Suppose 0 = q + 2*n - v, -40 + 10 = -2*q - 5*n. What is the third derivative of -38*y**2 + 4*y**5 + 13*y**2 - q*y**5 wrt y?
-360*y**2
Let y(u) be the second derivative of -4*u + 7/30*u**6 + 0*u**5 - 1/6*u**4 + 0*u**3 + 87/2*u**2 + 2. Differentiate y(w) with respect to w.
28*w**3 - 4*w
Let v(t) be the third derivative of 45*t**5/4 + 515*t**3/6 + 1648*t**2. Find the first derivative of v(i) wrt i.
1350*i
Let r(b) be the second derivative of 141/20*b**5 - 81/4*b**4 + 0*b**3 + 228*b + 0 + 0*b**2. Find the third derivative of r(q) wrt q.
846
What is the second derivative of 2927*d**4 - 390*d + 197 - 179 + 300*d wrt d?
35124*d**2
Let m be (-9 + 165/15)/((-2 + 3)*1). Let x(n) be the third derivative of -38*n**m + 0*n + 11/6*n**3 - 2/3*n**4 + 0. What is the derivative of x(k) wrt k?
-16
Let v(o) be the first derivative of 1/3*o**3 - 69/2*o**2 - 95*o + 78. Differentiate v(q) with respect to q.
2*q - 69
Let i = 170 + -174. Let y(r) = -28*r**2 - 39*r + 8. Let k(p) = p**2 + 2. Let m(x) = i*k(x) + y(x). What is the second derivative of m(a) wrt a?
-64
Let z(l) be the second derivative of 638*l**5/5 + 1097*l**4/6 + 48*l - 6. What is the third derivative of z(r) wrt r?
15312
Find the second derivative of -2007*z**2 + 5 - 868*z**2 - 3*z - 74*z**2 wrt z.
-5898
Let f = -4873 - -4873. Let k(y) be the first derivative of 4*y**2 + 0*y**3 + f*y**4 - 22 + 0*y**5 + 4/3*y**6 + 0*y. What is the second derivative of k(a) wrt a?
160*a**3
Suppose k - 196 = -2*k - 5*z, -5*k + 5*z + 260 = 0. Find the third derivative of -5*p**4 - 12*p**5 - 2 - 64*p + k*p - 6*p**2 + 2 wrt p.
-720*p**2 - 120*p
Suppose 1584 = 11*v + v. What is the first derivative of -12*r - 25*r + 189 - v wrt r?
-37
Suppose 2 = -0*o + 5*o + 2*l, -4*l = 4*o + 8. Find the third derivative of -112*v**3 - 99*v**2 + 54*v - 15*v**2 - 88*v**o - 54*v wrt v.
-672
Let r(a) be the third derivative of 293*a**9/168 + 7*a**5/60 + a**2 - 431*a. Find the third derivative of r(j) wrt j.
105480*j**3
Suppose -o = -0*v + 2*v + 20, 5*v = -4*o - 44. Let p be 24/(-9)*v/16. What is the first derivative of 8 + p - 20 + 3*q + 7 wrt q?
3
Let g(p) be the second derivative of 869*p**7/14 + 677*p**3/2 - 4*p - 183. What is the second derivative of g(a) wrt a?
52140*a**3
Let x(h) = 13*h - 105. Let b be x(12). What is the third derivative of -b*f**2 + 10*f**2 + 55645*f**6 - 55429*f**6 wrt f?
25920*f**3
Let k = -660 - -686. Let b(x) be the third derivative of -k*x**2 + 3*x**3 + 0*x + 3/2*x**4 + 0. Differentiate b(i) wrt i.
36
Suppose 0 = 4*a + 3*d + 37 + 39, 0 = -4*a + d - 60. Let y = -2 - a. Differentiate 55*g**3 - 43 - 8 - y*g**3 - 4*g**3 wrt g.
111*g**2
Let f(b) = 51*b**2 + 176*b + 59. Let p(c) = 2*c**2 - 29*c - 1. Let d(q) = -f(q) - 6*p(q). Find the second derivative of d(m) wrt m.
-126
Let l(v) = -v**3 - 4*v**2 + 6*v - 1. Let w(f) = 5639*f**3 + 24*f**2 - 36*f - 8998. Let y(i) = -6*l(i) - w(i). Differentiate y(p) with respect to p.
-16899*p**2
Let i(m) = 1144*m**2 + 2*m + 876. Let f(n) = 1144*n**2 + 3*n + 875. Let q(r) = 2*f(r) - 3*i(r). Differentiate q(a) wrt a.
-2288*a
Let a(k) = 8*k**3 + 30*k**2 - 1590*k + 4. Let p(l) = l**2 - 2*l + 1. Let g(d) = a(d) - 4*p(d). Find the second derivative of g(h) wrt h.
48*h + 52
Suppose -2*r - 79 = -t, -4*r + t + 4*t - 143 = 0. Let k be (-16)/20 - r/15. Find the third derivative of 9*d**4 - 3*d**k - 12*d**2 + 14*d**4 + 21*d**2 wrt d.
552*d
What is the derivative of 587 + 307*o + 312 - 170*o + 487*o wrt o?
624
Suppose -4*h = 5*a - 90, -51 = -4*h + 3*a + 55. Differentiate -38 - 48*w + 25*w - h*w with respect to w.
-48
What is the first derivative of -1673 + 114278*j**2 - 3022*j**4 - 114278*j**2 wrt j?
-12088*j**3
Let u(s) = -s**2 + s + 1. Let g(q) = 81*q**3 - 8*q**2 + 4*q - 3620. Let f(j) = -g(j) + 8*u(j). Find the first derivative of f(z) wrt z.
-243*z**2 + 4
Suppose b + 3*n + 35 = 90, 4*b - n = 181. Let y = -35 + b. Differentiate y - 7*x - 8 + 6 wrt x.
-7
Let z(q) = 146*q**2 + 7. Suppose 3*l = -5*m + 45, 16*m + 39 = 20*m + 3*l. Let p(r) = -2*r**2 + 1. Let k(c) = m*p(c) - z(c). Differentiate k(i) wrt i.
-316*i
Let h(b) = b**3 + 6*b**2 + 5*b + 6. Let g = -24 - -19. Let s be h(g). What is the second derivative of -s*t**3 - 2*t**3 - 26*t + 46*t wrt t?
-48*t
What is the third derivative of -17*d + 19*d**2 + 188*d**2 + 20*d**3 + 33 - 2151*d**3 | {
"pile_set_name": "DM Mathematics"
} |
2 - 2*x + 7*x)*(-2*x**2 - 15*x + 15*x).
-10*x**3 - 4*x**2
Expand (-1 + 2 - 3)*(-112*d - 18*d - 10*d) - 2*d + d - 2*d.
277*d
Expand (-2*n - 2*n + 8*n)*(-n**2 + n**2 - n**2) + 4*n**3 - 26*n**3 - 12*n**3.
-38*n**3
Expand (-g - 2 + 2)*(8 - 49*g**3 - 16 + 9) - g**4 + 3*g**4 - 3*g**4.
48*g**4 - g
Expand -132*m - 2 + 132*m + 10*m**2 - m**2 + 0 + 0 + (2*m - m**2 - 2*m)*(3 - 3 - 2) + 3*m**2 - 2*m**2 + 0*m**2.
12*m**2 - 2
Expand 139929*q**2 - 139929*q**2 + 2262*q**5 + (1 - 1 - q)*(-3 + 3 - 2*q**4).
2264*q**5
Expand (-1 + 7 - 4)*(1 - 1 - 2*x)*(-2*x - 4*x**2 + 2*x).
16*x**3
Expand (-g + 3*g + 0*g)*(-615 - 240 + 294)*(1 - 2*g - 1).
2244*g**2
Expand (1 - 1 - 6)*(-2*y + 5*y - 5*y) - 6*y + 9*y + 32*y.
47*y
Expand (-27 + 27 + 32*s)*(2*s - 6 + 6) - s - s**2 + s.
63*s**2
Expand (i**4 - 5*i**4 - 3*i**4)*((-2 + 4 - 3)*(0 + 0 - 2*i) + 24*i + 16*i - 2*i).
-280*i**5
Expand (-44*r**2 - 155*r**2 - 137*r**2)*(4*r**3 - 5*r**3 + 0*r**3).
336*r**5
Expand 2*w**4 - 2*w**4 + w**4 - 150 + 150 - 97*w**4 + (-w + w - w)*(w**3 - 2*w**3 - w**3).
-94*w**4
Expand 6*r**3 + r**4 - 6*r**3 + (-r**3 + 3*r - 3*r)*(-r + 0 + 0) - 4*r**4 - 9*r**4 - 50*r**4 + (-3*r - 4*r + 5*r)*(-r**3 + 2*r**3 + 0*r**3).
-63*r**4
Expand (6 + 11 - 2)*(5 + 3*s - 5)*(0*s**3 + 3 - 3*s**3 + 5*s**3).
90*s**4 + 135*s
Expand ((-t + 4*t - 2*t)*(2*t - 3*t + 0*t) + 27564 + 119*t**2 - 27564)*(2 - 2 + t**2).
118*t**4
Expand 2*m + 11*m + 3*m - 3*m + m + (-49 + 20 + 168)*(0*m + 3*m - 4*m).
-125*m
Expand (4 + 4 - 5)*(-1 + 1 - 1)*(o + 14*o + 8*o)*(7 - 3 - 1)*(-1 + 3 - 1).
-207*o
Expand (-2 - 1 - 1)*(-40 + 11 - 16)*(2*p + 3 - 3).
360*p
Expand 0*z**5 - z**5 + 4*z**5 + 2*z**5 - 7*z**5 + 4*z**5 + 9*z**5 + 6*z**5 - 28*z**5 + (z**3 + 0*z**3 - 2*z**3)*(-2*z**2 - z + z).
-9*z**5
Expand (-7 - 25 - 5)*(3*h**3 - 3*h**3 - h**3 + (-4*h + h + h)*(2*h**2 + 0*h**2 - h**2) - 5*h + 5*h + h**3 - h**3 - 2*h**3 + h**3 + 4*h**3 - 2*h**3 + 0*h**3).
74*h**3
Expand (5 - 5 + o**4)*(5 + 2 - 1)*(1 - 1 - 1)*(-2 + 4 - 3).
6*o**4
Expand 21*l**2 - 315*l + 315*l + (4 - 8 - l + 2*l)*(1 - 1 - l).
20*l**2 + 4*l
Expand 4*y**4 + 6*y**4 - 5*y**4 + (-2*y - y + 0*y)*(-2*y**3 + 6*y**3 + 2*y**3).
-13*y**4
Expand -3*v**5 - 6*v**5 + 10*v**5 + (v**4 + 3*v**5 - v**4)*(2 + 2 - 3).
4*v**5
Expand (-v - 4*v + 4*v)*(-4 + 5 + 1 + (-3 + 1 + 1)*(-4 + 1 + 6))*(2 - 12 + 8)*(2 - 4 + 0).
4*v
Expand (-j + 176 - 176)*(-2*j + 4*j + 6*j).
-8*j**2
Expand (18*d - 18*d + 40*d**2)*(3*d - 3*d + d) + (0*d**2 + 2*d**2 + 0*d**2)*(4*d + 0*d - 3*d).
42*d**3
Expand (1 + 0 - 2)*(15*o**5 - 106*o**2 + 106*o**2) + o**5 - o**5 - o**5 + (7*o**3 - 3*o**4 - 7*o**3)*(2*o + 0*o - 3*o).
-13*o**5
Expand 284*a**4 - 345*a**4 + 2 + 0 + (2*a + 3 - 3)*(-3*a**3 - 3 + 3).
-67*a**4 + 2
Expand (-80*y + 153*y - 89*y + 54)*(4 - 2 - 1)*(-5*y + 4*y + 0*y).
16*y**2 - 54*y
Expand -2273*h + 30*h**3 - 9*h**3 + 2275*h + 4 + (-1 + 3 - 4)*(0*h**3 - 3*h**3 + 4*h**3).
19*h**3 + 2*h + 4
Expand -2*v**5 + 18*v**3 - 18*v**3 + (-2*v + 6*v - 3*v)*(58*v**4 + 26*v**4 + 38*v**4).
120*v**5
Expand (2 - 3 + 0)*(3 - 4 + 2)*(-6 + 3*u + 6)*(4*u**2 - 2*u**2 + u**2).
-9*u**3
Expand (2*y**5 + 0*y**5 - 4*y**5 + (2 - 2*y - 2)*(2 - 2 + y**4) + y**5 - 12*y**5 + 29*y**5)*(4 - 5 - 2).
-42*y**5
Expand (-4 + 0 - 2)*(-7 + 13 + 3)*(-3 + 1 + 0)*(-1 - 3*k + 1).
-324*k
Expand (4*g - 4*g**2 - 4*g)*((-1 - 4 + 4)*(-3*g + 0*g + g) - 4*g - 2*g + 7*g + (-1 + 1 + g)*(5 - 3 + 0) + (0*g + 3*g + 0*g)*(-1 + 2 + 1)).
-44*g**3
Expand ((-o**2 + 0*o**2 - 3*o**2)*(-o + 5*o + 2*o) - o - 28*o**3 + 58*o**3 - 3*o**2 - 28*o**3)*(-2*o - 2*o + 3*o).
22*o**4 + 3*o**3 + o**2
Expand (-3 + 3 + 2*z)*(-2*z**3 + 4*z**3 - 3*z**3) - 12*z**4 - 15*z**4 - 9*z**4 - z**4 - 8*z**4 + 2*z**4 + (2*z - 1 + 1)*(-2*z**2 + 2*z**2 + z**3).
-43*z**4
Expand (-2*k**4 + k**4 + 2*k**4)*(-3*k + 4*k + 2*k) + (-3*k - 2*k**4 + 3*k)*(0 + 5 - 3)*(-1 + 1 - 3)*(7*k - 2*k - 3*k).
27*k**5
Expand (2729*i**2 + 243*i**3 - 2729*i**2)*(-2*i**2 + 1 - 1) - i**5 + 5*i**2 - 3*i**2 + 2*i**5.
-485*i**5 + 2*i**2
Expand (1 - r - 4*r + 8*r)*(2 - 4 + 1).
-3*r - 1
Expand (-3*u - u + 2*u)*(u**4 - 2*u + 2*u) + 0*u**3 - 2*u**5 + 0*u**3 + (13*u + 13*u - 21*u)*(u**4 + 6*u**4 - 3*u**4).
16*u**5
Expand (-6 + 6 - 37 + (-2 + 0 + 0)*(-3 + 3 - 2) - 4 + 3 + 3)*(3*g - g + 0*g + 3*g - 6*g + g + (3 - 4 + 2)*(-2*g + 2*g + g) + 1 - 1 - 2*g)*(0*g - 3*g + 0*g).
-93*g**2
Expand (-3*t**2 + 6*t**2 - 2*t**2)*(2 + 3 - 3)*(115 - 54 + 8)*(0 - 1 + 0)*(0 - 1 + 2).
-138*t**2
Expand (-r + 0*r - r)*(16*r**3 + r**2 + r**3 + r**2).
-34*r**4 - 4*r**3
Expand (3 - 3*z**2 - 3)*(-z**2 + 3*z**2 - 5*z**2) + (-24*z**2 - 18*z**2 + 17 + 40*z**2)*(-3*z**2 - 2 + 2).
15*z**4 - 51*z**2
Expand (-1 + 1 + 2*z**3)*(0*z + 0*z - 4*z) - 170*z**4 + 84*z**2 - 84*z**2.
-178*z**4
Expand (-8 + 29*r**4 + 8)*(-47 + 47 - 23*r).
-667*r**5
Expand (7*y - 3*y + 0*y + (4 - 4 + 3*y)*(2 - 5 - 1))*(1 + 0 - 3)*(2*y + 2*y - 2*y).
32*y**2
Expand (0 - 13 + 22)*(-13 - 39*p + 10*p + 11).
-261*p - 18
Expand ((-4*b**2 + 4*b**2 + 5*b**2)*(-3 + 4 - 2) + 3*b**2 + b**2 - 5*b**2 + 7*b**2 - 4*b**2 + b**2)*(b - 1 - b**2 + 1).
2*b**4 - 2*b**3
Expand -s**2 - 2*s**2 + 5*s**2 - 161*s + 161*s + 22*s**2 + (4*s - 4*s - s**2)*(0 + 0 + 2) + s**2 + 0 + 0.
23*s**2
Expand (295*a - 614*a + 395*a)*(0 + 2 - 3)*(4*a**3 - 2*a**3 - 4*a**3).
152*a**4
Expand (129*m**3 + 106*m**3 - 7*m**3)*(3*m + m - m + 2*m - 1 + 1 + m + 0*m + m + m + 3*m - 3*m + (4 - 4 + 2)*(m + 2*m - m) + 0*m + 3*m - 2*m - m + 3*m + 0*m).
3420*m**4
Expand (-1 - 1 + 3)*(4*m + 4*m - m) + (1 - 1 - 2)*(2*m - m + 2*m) + 3*m - m + 2*m.
5*m
Expand (2 - 2 - 3)*(o**2 - 9 + 10 - 11*o**2)*(-o - o**2 + o) + (-o**3 - o**3 + o**3)*(3 - 3 - o) + 4*o**4 - o**4 - o**4.
-27*o**4 + 3*o**2
Expand -b**4 + 5*b**4 + 3*b**4 + (-2*b + 3*b - 2*b)*(6*b + 3*b - b + 2*b**3).
5*b**4 - 8*b**2
Expand ((4*m**3 - 6*m**3 + m**3)*(2*m + 0*m - 4*m) + 2*m**3 + m**4 - 2*m**3 + 2*m**3)*(-2 + 1 - 5)*(-m - m + 0*m).
36*m**5 + 24*m**4
Expand (-1 + 1 - x)*(518*x**2 - 4*x**3 - 1027*x**2 + 520*x**2).
4*x**4 - 11*x**3
Expand ((-3 + 7 - 2)*(o**3 + o**3 + 0*o**3) + o + 2*o**3 - o + 154*o**3 + 159*o**3 - 277*o**3)*(1 + 3*o - 1).
126*o**4
Expand -3*d**2 + 4*d**2 + 2*d**2 + (4*d**2 + d - d)*((0 + 3 - 2)*(-4 + 1 - 1) + 3 - 6 + 1).
-21*d**2
Expand (10 - 4*d**2 - 10)*((5*d + 0*d - 3*d)*(-3 - 1 + 3) - 3*d - 2*d + d) + (0*d**2 + 0*d**2 - d**2)*(d - d - d).
25*d**3
Expand j**2 + 4*j**2 - 2*j**2 - 2 + 2 - j**2 + (4*j - 4*j + j)*(0 - j + 0) + (0*j + 6*j - 3*j)*(0*j + 4*j - 2*j) - 5*j + 5*j - 4*j**2.
3*j**2
Expand (-2 + 4 - 1)*(-34862 + 34862 - l**2 - 776*l**3)*(-4*l - l + 3*l).
1552*l**4 + 2*l**3
Expand (3*s - 4*s + 0*s + (-2*s - 3 + 3)*(0 - 4 + 2) - 4 + 4 + 2*s - 26*s + 0*s + 10*s)*(0 - 1 + 4).
-33*s
Expand (6 - 7 - 12 - 1)*(-20*b + 97 - 97).
280*b
Expand (-58 + 1 + 30)*(-1 + 0 + 3)*(8*q**4 - 82 + 82) + (-q + q - 2*q)*(-2*q**3 + 5*q**3 - 2*q**3).
-434*q**4
Expand (-5 + 1 + 2)*(125*h - 2 + 5 - 130*h) + (2 - 2 + 1)*(-1 + 1 - 2*h).
8*h - 6
Expand 4*n**5 - 8*n**5 - 2*n**5 + (-5*n**4 + 4*n**4 + 3*n**4)*(-3*n + 2*n - n)*(-5 + 3 + 9) - 2*n**5 - 3 + 3.
-36*n**5
Expand (-2*i - 2*i + 2*i)*(-3*i**2 + 3*i**2 - 3*i**2) - 6*i**3 - 25*i + 23*i - i**3.
-i**3 - 2*i
Expand 16*d**2 - 5*d**2 - d**2 + (0*d + 4*d + 8*d)*(-3*d + 2*d + 2*d).
22*d**2
Expand 2*w + w + 4*w**4 - w**4 + (-4*w - 2*w**2 + 4*w)*(11*w**2 + 12*w**2 - 14*w**2).
-15*w**4 + 3*w
Expand 3*d - 3*d + d + (-1 - 1 + 0)*(-d + 2 - 2) - 4*d + 6*d - 3*d + (-d + 3*d + 8*d)*(0 - 3 + 1) - d + 4 - 4 + (1 + 1 + 1)*(0 + d + 0) + 0 + 0 + 2*d.
-14*d
Expand (-2*b - 2 + 2 + (4*b - 2*b + 0*b)*(0 - 1 + 6))*(-3 + 1 + 5).
24*b
Expand (-4*z**2 + 4*z**2 - 2*z**2 + (2*z**2 + z**2 + 0*z**2)*(0 - 1 + 0))*(-2*z + 6*z - 3*z)*(3 - 3 + 4).
-20*z**3
Expand (-117 + 117 + 23*z**2)*(-5*z + 2*z + 2*z) + (z**2 + 0*z + 0*z)*(-2*z + 0*z + 0*z + (-5 + 3 + 1)*(z - 2 + 2)).
-26*z**3
Expand 2*c + 2*c - 3*c - 31 + 13*c + 31 + (2 + 1 - 4)*(22 + 21*c - 22).
-7*c
Expand (2 - 2 - 2*n)*(0*n**3 - n**3 + 0*n**3 + (-n - 1 + 1)*(6*n**2 - 7*n**2 - 5*n**2) + (7*n + 4*n**2 - 7*n)*(-4*n + 3*n - 3*n)*(0 - 4 + 2)).
-74*n**4
Expand (4 - 4 - 4)*(65*y - 7673 + 7673)*(-2 + 2 - 1).
260*y
Expand (5*a - 5*a - a)*(3 - 3 + 3*a**2) + 4 - 4 - a**3 + 119*a**3 - 28209*a + 28209*a.
115*a**3
Expand -2 + 1 - v - 1 + 3*v - 4*v + 2*v - 3*v + 6 - 6 + (-2*v + 4*v + 0*v)*(-2 + 2 - 1) - 4 + 2*v + 4 + 315 - 32*v - 315.
-35*v - 2
Expand -11 + 3*y + 7 + 0*y + (-7 | {
"pile_set_name": "DM Mathematics"
} |
o be s(-2). Let w be (93/(-62))/(1/(-1318)). Suppose o = 5*f - w. Is f prime?
False
Let q = -7 - -3. Is 69315/10 + 2/q composite?
True
Is (10*(-11)/(-330))/(1/12147) composite?
False
Suppose -5*n = 20, -4*l + 4*n + 10 + 6 = 0. Suppose -y - 7962 = -2*w + 3*y, l = -4*w + y + 15959. Is w composite?
True
Let a(l) = l - 9. Let n(u) = -2*u + 18. Let c(m) = -5*a(m) - 2*n(m). Let i be c(11). Let s(j) = 30*j**2 - 3*j - 5. Is s(i) prime?
False
Let h be (-1)/(-5) - (-940)/50. Let q = -16 + h. Is 395*q/3*1 a composite number?
True
Let g(n) = 11379*n - 51. Let i be g(-9). Is i/(-24) + 2/(-8) a prime number?
False
Let w = 27724 + -14429. Is w prime?
False
Is 18/54 + (1 - (-149602)/6) composite?
True
Let h(u) = -u**3 + 8*u**2 + 7*u - 10. Let y = 28 + -19. Let p be h(y). Let a = 31 - p. Is a a composite number?
False
Suppose -2*r - 9*l + 5*l + 127866 = 0, 255741 = 4*r + 5*l. Is r a prime number?
False
Let w(i) = -13*i**3 + 1. Let b be w(1). Let j be (0 - 2)*(-2 + 3)*-9. Let p = b + j. Is p composite?
True
Let d(f) = -f**2 - 12*f - 19. Let x be d(-9). Suppose x*k = 4*i + 3*k - 20784, 5*k - 10422 = -2*i. Is i a composite number?
True
Suppose -6*w - 6 = -7*w. Let g = w - -327. Suppose -67 - 45 = -l + 2*u, 3*l - g = 5*u. Is l a prime number?
False
Let m(r) = 120*r**3 - 8*r**2 - 5. Is m(3) a prime number?
True
Let w(x) be the third derivative of -53*x**6/120 + 13*x**4/24 + x**3/2 - 35*x**2. Is w(-4) a composite number?
False
Let a be 1/(((-4)/(-1))/(-4)) - -1001. Suppose -3*z = c - 2*z + 590, z = -3. Let h = c + a. Is h a composite number?
True
Let r(a) = a**3 + 6*a**2 + 10*a + 17. Let j be r(-5). Is (-9)/12 - 1054/j a prime number?
True
Let g(t) = 77*t**2 - 15*t + 39. Is g(5) composite?
False
Let h(k) = 803*k**3 + k**2 - 8*k + 3. Is h(2) prime?
False
Let i(w) = -2*w - 12. Let b be i(-6). Suppose -6*t - 7174 + 32236 = b. Is t a composite number?
False
Let i be ((-3)/(-2))/((-3)/(-3378)). Suppose -10*o - 259 + i = 0. Is o prime?
False
Is 2 + (-20928)/(28/(-7)) a prime number?
False
Let v(x) = 4*x**2 - x - 1. Let y be v(-1). Let d(a) = -a - 2*a - 10 - 10 + 31*a**2 + 2*a + 15. Is d(y) a composite number?
False
Let t = -1494 - -3251. Is t a composite number?
True
Let a(b) = 20*b**2 + 6*b + 9. Let v(w) = 3*w + 10. Let r be v(-6). Is a(r) a composite number?
True
Let v be 1*5*(-12)/15. Let a be (24/(-10))/((-69)/(-15) + -5). Is 326 - 2/(v/a) a composite number?
True
Let j be ((60/(-8))/(-1))/(15/20). Let n(m) = m**3 - 8*m**2 - 12*m - 13. Is n(j) a composite number?
False
Suppose 0*n + 4*p = -4*n + 30516, 0 = n + 3*p - 7629. Is n a composite number?
True
Suppose 5*q - 4571 = w, 2*w - 4*q = -2*q - 9142. Let r = -2134 - w. Is r a composite number?
False
Let b(r) = 2*r**2 - 5*r + 8. Let a be b(4). Let s = -19 + a. Is (888/16)/(s/2) prime?
False
Let l be (0 + -3)/3 - -3. Suppose 4*c - 10 = -3*k + k, -4*c = -l*k - 6. Suppose -166 = c*x - 4*x. Is x composite?
False
Let i be 2/(-5)*530*-1. Let l(k) = k**3 - 4*k**2 - 15*k + 9. Let z be l(10). Let t = z - i. Is t prime?
False
Let f be (0/(-1) - 1) + 0. Let d(z) = z**2 - 2*z - 2. Let v be d(f). Is (v - -2)/(3/87) prime?
False
Let n(c) = c**3 + 7*c**2 + 10*c + 15. Let b be n(11). Let g = b - 1602. Is g a composite number?
False
Suppose 0 = 3*k + 5*z + 3838, -3*z = -k + 2*z - 1306. Let d = -468 - k. Is d prime?
False
Is (458904/(-32))/(6/(-40)) a prime number?
False
Let q be ((-12)/(-10))/(16/(-200)*-5). Suppose -3*u + 6078 = q*l, 2*l + 0*l - 4070 = 4*u. Is l a composite number?
False
Let u = 85 + -85. Suppose u = g - 9. Is g a prime number?
False
Let p = -133 + 17. Let w = p + 135. Is w a composite number?
False
Suppose 4*x - 35224 = -4*a, -33925 + 7525 = -3*a + 3*x. Is a composite?
False
Suppose 0 = 6*q - 2*q - 16. Suppose 4*d - q*r + 6*r = 472, 2*d + 3*r = 236. Is d a prime number?
False
Let k = 0 - 4. Let h be (28 + 5)*k/(-6). Let u = 36 - h. Is u a prime number?
False
Suppose -3*h - 153 = h - w, 4*h = -w - 159. Let r be (-13)/h - (-2)/3. Is r/(-3)*(-3652 + -5) a prime number?
False
Let g = 12 - 8. Let k(r) = 54*r + 6. Let b be k(g). Suppose 4*a = 806 + b. Is a prime?
True
Let v = 122 + 478. Let k = v + -121. Is k a prime number?
True
Suppose -4862 = 9*o + 17773. Let j = -1298 - o. Is j composite?
False
Suppose 4*s = 5*u + 126, u - 2 = 2*u. Suppose s = 5*w - 3*o - 222, 0 = o - 3. Let t = w - 5. Is t composite?
False
Let i be 20/6 + 2/(-6). Is 197/(0 + i/21) a prime number?
False
Is -1 - -7 - (-11 + -25968 + 16) a composite number?
False
Suppose 44683 = -865*l + 866*l. Is l composite?
False
Is 3/(-2)*(-11 - (-159131)/(-21)) prime?
True
Suppose 81 = 3*m - 1380. Is m a prime number?
True
Let z(w) = -3*w - 4. Let i be z(-7). Let x = i + -209. Let l = 455 + x. Is l prime?
True
Let p(m) = -189*m - 1. Let f be p(2). Is (f/(-3))/((-1)/(-3)) composite?
False
Let i(g) = -g**3 + 14*g**2 - 3*g + 23. Is i(11) composite?
False
Suppose 0 = -4*j + j + 72. Let o = j + -25. Is ((-11)/33)/(o/753) prime?
True
Let y be (-4168)/(-6) + (-4)/6. Suppose 5*u - 3*z = -7*z + y, -4*z - 272 = -2*u. Let b = 385 - u. Is b a prime number?
False
Let a(y) = -83 + 2*y**3 + 0*y + y + 84. Let g be a(-2). Let x = 24 + g. Is x a prime number?
True
Let s(h) = h + 10*h**2 - 8 + 2 + h**3 + 5*h + 2*h. Let x be s(-9). Suppose z + b - 41 = -3*b, -4*z = -x*b - 126. Is z a prime number?
False
Let u(l) = l**3 - 9*l**2 + 10*l - 7. Let r be u(8). Suppose 11*c - r*c + 18 = 0. Let j(d) = -d**3 - 3*d**2 + 13*d + 2. Is j(c) a composite number?
True
Let l be 6378/(-27) - 2/(-9). Suppose -3*d = -5*k - 1597, -4*d - 5*k = -10*k - 2131. Let n = d + l. Is n composite?
True
Suppose -y + 9*y = 5*y. Suppose y = -p - p - 4, -5*o + 1741 = -3*p. Is o a composite number?
False
Suppose -9 = -2*y - y. Let j = y + -9. Let x(o) = -16*o - 7. Is x(j) a composite number?
False
Suppose 2*n - n = -2*l - 6, l = 2. Let y = 104 + n. Is y prime?
False
Suppose 4*x = -m - 0*m - 1418, 2*x - 4*m = -700. Is -3 + (9 - 8) - (-1 + x) composite?
False
Let d be (-8)/(-60) - (-986)/30. Suppose 3*y - d + 9 = 0. Suppose 22 = -y*j + 9*j. Is j a composite number?
True
Let l be (6/4)/((-13)/26). Let j be (l - -2)/((-1)/2). Suppose 2*p = -j*p + 268. Is p a composite number?
False
Let x(k) = -13 + 3*k + 4*k**2 - 2*k + 22 + 3*k**3. Let n(c) = c**3 - c**2 - c + 1. Let g(l) = 2*n(l) - x(l). Is g(-8) prime?
False
Let o(r) = -8*r**3 - 3. Is o(-3) a prime number?
False
Let x(f) = 57*f**2 - 2*f - 1. Let q be (-2)/6 + 10/30. Suppose -o - 9 + 8 = q. Is x(o) prime?
False
Let o(f) = 3*f**3 - f**2 + f + 29. Is o(10) composite?
False
Let z(w) = -18*w - 2. Let c be z(-6). Is -2*14/(-8)*c composite?
True
Suppose -3287 = 5*b - 422. Let i(l) = -103*l**2 + l + 4. Let y be i(-3). Let d = b - y. Is d prime?
True
Let f(h) = 128*h - 67. Is f(3) composite?
False
Suppose v = 5*d + 1215, 0*d = -3*v + 3*d + 3657. Let l = v + -553. Is l a prime number?
False
Let j(f) = f + 1. Let l be j(5). Suppose 0*q = -5*q + 15. Let y = l - q. Is y prime?
True
Is 1186*(-3 + (-520)/(-16)) prime?
False
Let p(i) = -i**3 + 12*i**2 + 3*i - 30. Let h be p(12). Suppose -9*g = -h*g - 873. Is g a composite number?
True
Suppose 5*h = 2*h - z + 10, -3*h - 2*z + 8 = 0. Suppose l = -h*l + 130. Suppose 4*k = 122 + l. Is k prime?
True
Let w(d) = 516*d**2 - 10*d + 4. Suppose v + 4 - 7 = 0. Is w(v) a composite number?
True
Suppose 0 = 5*i + l - 5040, -11*i - 4*l = -8*i - 3007. Is i a composite number?
False
Suppose 0 = -q - q + 586. Suppose -2*z = -q - 153. Suppose 5*f = -53 + z. Is f prime?
False
Suppose -3*u - 224 = -4*u. Suppose -3*n - 2*i = -310, 2*n = i + 2*i + u. Suppose -100 = -2*y - 3*k, 5*y = -4*k + 137 + n. Is y composite?
False
Suppose 5*a = f - 54, -70 = 5*a - 9*f + 4*f. Is (-3315)/a - (-3)/(-6) prime?
True
Let c = -10 + -21. Let d = c - -268. Is d a composite number?
True
Let x(o) be the second derivative of o**4/12 - 5*o**3/6 + o**2 - 7*o. Let i be x(5). Suppose i*n - 721 = 345. Is n composite?
True
Let c(p) be the third derivative of -1/60*p**5 + 0 - 1/24*p**4 + 203/6*p**3 + 0*p + 6*p**2. Is c(0) composite?
True
Let j = 47812 + -25859. Is j a prime number?
False
Let f be (20/(-24))/((-7)/6 + 1). Suppose 4*l + f*p = 2779, -4*p + 476 = l - 227. Is l composite?
False
Let h = -305 - -354. Is h composite?
True
Let w be (-19043)/(-5) - 3/5. Let y = 6131 - w. Is y prime | {
"pile_set_name": "DM Mathematics"
} |
tters picked without replacement from {u: 2, w: 5}. What is prob of picking 2 w?
10/21
Calculate prob of picking 2 d and 1 o when three letters picked without replacement from fcfcccfffcfccodocdd.
2/323
Calculate prob of picking 1 n and 3 z when four letters picked without replacement from {n: 3, z: 5}.
3/7
Calculate prob of picking 3 b when three letters picked without replacement from {m: 2, b: 4, t: 6, y: 3}.
4/455
What is prob of picking 2 q when two letters picked without replacement from {u: 17, q: 3}?
3/190
Calculate prob of picking 1 t and 2 p when three letters picked without replacement from {p: 7, t: 4}.
28/55
Calculate prob of picking 1 i and 2 k when three letters picked without replacement from ikwk.
1/4
Two letters picked without replacement from skkqsskkgsksykksksy. Give prob of picking 1 s and 1 g.
7/171
Calculate prob of picking 1 y and 1 q when two letters picked without replacement from {b: 3, e: 1, k: 1, y: 1, q: 1}.
1/21
Three letters picked without replacement from uuxxkuxvuxvxkmvkuklk. Give prob of picking 1 u, 1 l, and 1 x.
5/228
Four letters picked without replacement from {m: 3, g: 4, v: 2, k: 1}. What is prob of picking 1 g, 1 k, and 2 m?
2/35
What is prob of picking 1 k and 1 x when two letters picked without replacement from utlkuxuul?
1/36
Two letters picked without replacement from meexjmejkyjj. What is prob of picking 1 k and 1 e?
1/22
Two letters picked without replacement from {r: 6, w: 2}. What is prob of picking 1 r and 1 w?
3/7
Four letters picked without replacement from pvpvvwppvv. Give prob of picking 3 p and 1 v.
2/21
Three letters picked without replacement from {z: 1, w: 1, x: 1, i: 2, f: 2}. What is prob of picking 1 w, 1 z, and 1 i?
2/35
Four letters picked without replacement from cdodoae. Give prob of picking 1 e, 1 o, 1 c, and 1 d.
4/35
What is prob of picking 1 b and 1 j when two letters picked without replacement from kvjbvvkjkkp?
2/55
Four letters picked without replacement from mjmjjjmjjm. Give prob of picking 4 j.
1/14
Four letters picked without replacement from {p: 3, y: 2, g: 4, c: 3, e: 2, l: 2}. What is prob of picking 1 e, 1 c, and 2 l?
3/910
What is prob of picking 1 s and 2 v when three letters picked without replacement from gggsssggvgvgssgszg?
1/136
Two letters picked without replacement from eedddddddddedd. Give prob of picking 1 e and 1 d.
33/91
Two letters picked without replacement from zkkzzzpl. Give prob of picking 1 p and 1 l.
1/28
Calculate prob of picking 1 n and 1 f when two letters picked without replacement from fflffnfffffv.
3/22
Three letters picked without replacement from {f: 12, j: 6}. What is prob of picking 3 j?
5/204
Calculate prob of picking 1 z and 1 i when two letters picked without replacement from {z: 2, i: 2, j: 1, l: 2, b: 1}.
1/7
Two letters picked without replacement from {o: 2, n: 14, l: 1}. What is prob of picking 1 n and 1 l?
7/68
Four letters picked without replacement from {v: 5, b: 3, f: 1}. Give prob of picking 4 v.
5/126
Calculate prob of picking 1 n and 1 j when two letters picked without replacement from jjnjjmnmjmm.
2/11
Calculate prob of picking 1 z and 1 r when two letters picked without replacement from {r: 14, z: 4}.
56/153
What is prob of picking 1 f and 2 g when three letters picked without replacement from ggggggggfgggg?
3/13
Two letters picked without replacement from {l: 7, j: 4, d: 5}. Give prob of picking 2 d.
1/12
What is prob of picking 1 d and 2 e when three letters picked without replacement from qemimqeqeqeedqiqqm?
5/408
Two letters picked without replacement from kguvmfk. What is prob of picking 1 v and 1 m?
1/21
Four letters picked without replacement from {u: 4}. Give prob of picking 4 u.
1
Calculate prob of picking 2 d when two letters picked without replacement from vddddddvddddddddddd.
136/171
Calculate prob of picking 1 j and 1 k when two letters picked without replacement from {p: 7, j: 2, k: 4}.
4/39
Two letters picked without replacement from cwwwwwwccwccwccccwww. What is prob of picking 2 w?
11/38
Calculate prob of picking 2 a when two letters picked without replacement from {h: 2, d: 8, a: 2}.
1/66
What is prob of picking 2 d when two letters picked without replacement from {d: 4, s: 5, r: 6}?
2/35
Calculate prob of picking 4 t when four letters picked without replacement from {s: 1, t: 11}.
2/3
What is prob of picking 1 x, 1 k, and 2 v when four letters picked without replacement from lvlxllkkvlxkkvlkl?
3/238
Calculate prob of picking 1 d and 2 g when three letters picked without replacement from ygdgmm.
1/20
Calculate prob of picking 1 t and 3 f when four letters picked without replacement from zfffzffftzfzztttzff.
28/323
Four letters picked without replacement from {r: 11, b: 2}. Give prob of picking 2 r and 2 b.
1/13
Two letters picked without replacement from {n: 2, e: 1, z: 1, g: 1}. Give prob of picking 1 e and 1 z.
1/10
Calculate prob of picking 1 z and 2 e when three letters picked without replacement from eeeezeeezeezeezzzee.
156/323
Three letters picked without replacement from {a: 2, n: 3, l: 3, b: 1, p: 1}. Give prob of picking 3 l.
1/120
Two letters picked without replacement from {v: 2, a: 1, w: 1, n: 1}. What is prob of picking 1 v and 1 w?
1/5
Two letters picked without replacement from exhthxtxxthhre. Give prob of picking 1 h and 1 x.
16/91
Calculate prob of picking 1 t, 2 l, and 1 k when four letters picked without replacement from {l: 2, u: 1, t: 13, k: 1}.
13/2380
Calculate prob of picking 1 n, 1 g, and 1 k when three letters picked without replacement from {k: 1, m: 2, g: 1, n: 6, e: 1, q: 9}.
1/190
Three letters picked without replacement from {a: 1, l: 3, g: 4}. Give prob of picking 1 l, 1 a, and 1 g.
3/14
Four letters picked without replacement from qqfffffffufqfvulf. Give prob of picking 1 u, 1 v, 1 q, and 1 l.
3/1190
Calculate prob of picking 2 q when two letters picked without replacement from rrqqrdrc.
1/28
Calculate prob of picking 2 y when two letters picked without replacement from yyyppyyyyyyyyyyypypy.
12/19
What is prob of picking 2 i when two letters picked without replacement from iyiiiifyffii?
7/22
Two letters picked without replacement from {z: 5, p: 4, i: 5, x: 1, n: 5}. Give prob of picking 2 p.
3/95
Three letters picked without replacement from {e: 4, f: 2, t: 1, k: 10}. Give prob of picking 1 e and 2 f.
1/170
Two letters picked without replacement from {q: 4, k: 7, s: 4}. What is prob of picking 2 s?
2/35
Calculate prob of picking 1 j, 1 c, and 2 n when four letters picked without replacement from nkcfjfq.
0
Calculate prob of picking 1 o, 1 p, and 1 d when three letters picked without replacement from {p: 12, d: 3, o: 1}.
9/140
Calculate prob of picking 1 l, 1 x, 1 m, and 1 y when four letters picked without replacement from {r: 3, x: 1, m: 1, l: 1, y: 1}.
1/35
Four letters picked without replacement from {q: 3, x: 13}. Give prob of picking 2 x and 2 q.
9/70
Three letters picked without replacement from xccexecxbxmxe. What is prob of picking 1 c and 2 e?
9/286
What is prob of picking 1 x and 1 e when two letters picked without replacement from {e: 3, x: 1}?
1/2
Two letters picked without replacement from wqbqwwqqqqwqubq. Give prob of picking 2 w.
2/35
Three letters picked without replacement from {e: 3, i: 13}. Give prob of picking 3 e.
1/560
Two letters picked without replacement from jjjjjjjjjiijiiji. Give prob of picking 1 j and 1 i.
11/24
Calculate prob of picking 4 n when four letters picked without replacement from {r: 5, n: 3}.
0
Four letters picked without replacement from vsvssvsvsvvvsvvsvvv. Give prob of picking 3 v and 1 s.
385/969
Three letters picked without replacement from {x: 2, d: 1, h: 4, e: 3, m: 1, b: 1}. What is prob of picking 2 m and 1 d?
0
Calculate prob of picking 1 c and 1 e when two letters picked without replacement from cjecpeucc.
2/9
Four letters picked without replacement from mamfu. What is prob of picking 2 m, 1 u, and 1 a?
1/5
Two letters picked without replacement from {h: 3, k: 1, o: 2, j: 1}. Give prob of picking 2 h.
1/7
Calculate prob of picking 1 t and 1 o when two letters picked without replacement from xojxoxjjjjotj.
1/26
Two letters picked without replacement from {z: 1, h: 1, j: 1, b: 2, g: 1, i: 1}. What is prob of picking | {
"pile_set_name": "DM Mathematics"
} |
t(l(g)).
-60*g**2 + 5240*g - 60
Let d(s) = -s**2. Let w(r) = 251*r + 278. Determine d(w(t)).
-63001*t**2 - 139556*t - 77284
Let m(f) = f - 4. Let o be m(6). Let i(l) = 5*l**2 - o*l**2 - l**2. Let j(b) be the second derivative of -3*b**3/2 - 9*b. Determine i(j(z)).
162*z**2
Let s(d) = 6*d - 5. Let o(r) = 6*r + 3*r + 0 - 3 - 5. Let q(x) = 5*o(x) - 8*s(x). Let b(n) be the second derivative of n**4/3 + n. Determine q(b(v)).
-12*v**2
Let p(h) = -6194*h**2 + h. Let u(n) = -n. What is u(p(a))?
6194*a**2 - a
Let y(k) = 3*k**2. Let b(i) = 103684*i. Give y(b(w)).
32251115568*w**2
Let a(b) = b**3 - 4*b**2 - 22*b + 3. Let j be a(7). Let n(m) = m**2 + 9. Let y(t) = -4. Let g(p) = j*n(p) - 9*y(p). Let w(f) = 18*f. What is w(g(k))?
-72*k**2
Let p(t) = -2*t + 7. Let n be p(-11). Suppose -5*a - 1 - n = 0. Let r(b) = 4*b. Let j(c) = 4*c. Let l(o) = a*r(o) + 5*j(o). Let k(d) = -d. What is k(l(g))?
4*g
Let d(s) = -3 + 3 + 2*s. Let i(g) be the third derivative of -g**6/180 - g**4/8 - 11*g**2. Let t(a) be the second derivative of i(a). What is t(d(v))?
-8*v
Let w(l) = 170*l - 1. Let a(y) = -15*y**2 + 24. Let t(r) = -r**2 + 2. Let c(q) = -a(q) + 12*t(q). Give c(w(f)).
86700*f**2 - 1020*f + 3
Let o(i) = -58*i. Let d(m) = 29175*m**2. Calculate o(d(h)).
-1692150*h**2
Let h(x) = 10*x**2 - 50. Let t(a) = -9*a**2 + 40. Let o(f) = -4*h(f) - 5*t(f). Let w(s) be the first derivative of 2*s**2 + 1. Determine w(o(u)).
20*u**2
Let g(h) = h + 1. Let x(k) = -2. Let y(z) = 2*g(z) + x(z). Let i(f) be the third derivative of -f**5/30 - 775*f**2. What is y(i(a))?
-4*a**2
Let b(n) be the first derivative of 0*n + 0*n**2 - 4/3*n**3 + 15. Let p(c) = -3*c**2. What is p(b(d))?
-48*d**4
Let b(k) be the second derivative of -k**7/504 + 7*k**4/4 + 16*k. Let s(h) be the third derivative of b(h). Let o(n) = 2*n**2. What is o(s(m))?
50*m**4
Let i be (31/(-93))/((-2)/6). Let z(l) be the first derivative of i + 0*l**2 + 0*l - 4/3*l**3. Let w(g) = -3*g**2. Calculate z(w(n)).
-36*n**4
Let c(i) be the first derivative of 2*i**3/3 + 6*i - 10. Let p(s) be the first derivative of c(s). Let v(d) = -5*d**2. Give p(v(n)).
-20*n**2
Let g(u) be the first derivative of 1/2*u**2 + 0*u + 15. Let m(c) = 8*c. Give g(m(z)).
8*z
Let g(a) = a - 4*a + 0*a. Let i(o) be the first derivative of -11*o**3/3 - 129. Calculate i(g(k)).
-99*k**2
Let r(j) = -j**2 + 167*j. Let b(c) = -46*c. Calculate r(b(d)).
-2116*d**2 - 7682*d
Let r(u) = u + 15. Let t be 3/((-3)/(-30)*-3). Let a be r(t). Let b(f) = -3*f + f - a*f. Let x(d) = 2*d**2. Calculate x(b(z)).
98*z**2
Let v(p) = 4*p. Let a be 415/(-20) - 2/8. Let d = 25 + a. Let c(b) = -d*b + b + b. Give c(v(m)).
-8*m
Let i(r) = 610*r**2. Let y(g) = -355*g. What is i(y(m))?
76875250*m**2
Let x(o) = -15*o**2. Let m(c) be the first derivative of 2*c**3 + 171. What is x(m(z))?
-540*z**4
Let a(d) = -2*d. Let n(g) be the third derivative of 1/24*g**4 + 28*g**2 + 0*g + 0 + 0*g**3. Calculate n(a(i)).
-2*i
Let f(h) = 29*h. Suppose 2*w = 3*l + 4, 4*w + 3*l = l + 8. Let j(d) = 0*d**w + 9*d**2 - 11*d**2. Calculate f(j(r)).
-58*r**2
Let c(d) = -13*d**2. Let z(n) be the first derivative of n**2/2 - 15. Give z(c(l)).
-13*l**2
Let q(j) = 4*j**2 + 3. Let n(z) = -20*z**2 - 16. Suppose 7*k - 5*k + 32 = 0. Let v(r) = k*q(r) - 3*n(r). Let w(t) = 2*t. Give v(w(o)).
-16*o**2
Let k(v) = -v**2. Let x(o) = 13772*o. What is k(x(r))?
-189667984*r**2
Let y(t) = 18*t**2 - 3*t**2 + 11*t**2. Let d(a) = -3*a + 2. Let u(o) = -5*o + 3. Let i(p) = -3*d(p) + 2*u(p). Determine i(y(c)).
-26*c**2
Let y(k) = 339*k. Let h(g) = 45*g**2 - 3*g. What is y(h(x))?
15255*x**2 - 1017*x
Let y(c) = -c + 5. Let n(a) = 3*a - 5. Let j(m) = -n(m) - y(m). Let p(r) = -23*r. Calculate j(p(i)).
46*i
Let k(h) = -376*h**2. Let j(n) = 23*n**2. What is k(j(i))?
-198904*i**4
Let c(x) = 2*x. Let g(f) = -2181*f**2 - f. What is c(g(s))?
-4362*s**2 - 2*s
Let h(r) be the third derivative of -6 + 0*r + r**2 + 0*r**4 + 0*r**3 - 1/4*r**5. Let k(i) be the third derivative of i**4/12 + i**2. Determine h(k(o)).
-60*o**2
Let k(d) = d**2. Let a(b) = 25*b - 21. Let c(m) = -26*m + 18. Let z(y) = -5*a(y) - 6*c(y). Give k(z(g)).
961*g**2 - 186*g + 9
Let l(m) = 2*m**2. Let w(b) = 23*b + 6. Let s(o) = 9*o + 12*o + 1 - 20*o. Let u(k) = 6*s(k) - w(k). What is u(l(i))?
-34*i**2
Let o(k) = 84*k - 246*k + 84*k - 2 + 74*k. Let a(l) = -3*l**2. Determine o(a(d)).
12*d**2 - 2
Let f(g) = -55*g**2. Let b(d) = 14*d - 25*d + 15*d. Give f(b(r)).
-880*r**2
Let z(a) = -569*a**2. Let i(c) = 29*c**2. Give i(z(w)).
9389069*w**4
Let s(a) = 2*a + 13. Let j(p) = -p**2 - 393. What is s(j(t))?
-2*t**2 - 773
Let a(s) = s**2. Let o be (-25)/(-5) + -1 - -2. Let n(j) = 5*j + 0*j + 6*j - o*j. Determine a(n(z)).
25*z**2
Let i(f) = 3*f. Let v(a) = -2253*a. Give v(i(u)).
-6759*u
Let a(c) be the first derivative of -3*c**2 - 309. Let p(d) = 2*d - 11. Determine p(a(l)).
-12*l - 11
Let g(t) be the third derivative of t**7/1260 - 5*t**4/12 - t**2. Let c(o) be the second derivative of g(o). Let k(f) = -21*f. What is c(k(v))?
882*v**2
Let y(o) = -o**2 + 14*o. Let r(t) = -527*t. Calculate r(y(f)).
527*f**2 - 7378*f
Let m(w) = -3*w**2. Suppose -81 + 53 = -7*d. Let q(p) = -d*p**2 + 11 - 11 + 0. Calculate q(m(s)).
-36*s**4
Let i(s) = 115076*s. Let t(k) = -7*k**2. Calculate t(i(o)).
-92697400432*o**2
Let a(v) be the second derivative of v**6/720 - v**4/4 - 2*v. Let o(n) be the third derivative of a(n). Let b(q) = -6*q**2. Calculate o(b(r)).
-6*r**2
Let n(z) = 13*z**2. Let p(i) = -17*i + 87. What is n(p(r))?
3757*r**2 - 38454*r + 98397
Let m = -1 - -3. Let w(j) = -3 - m*j + 3. Let b(p) be the first derivative of -2*p**2 - 142. Calculate w(b(v)).
8*v
Let n(w) = 71*w**2. Let s(i) be the second derivative of 0 + 0*i**2 - 26*i + 1/3*i**3. Calculate s(n(j)).
142*j**2
Let a(u) = 2*u. Let l(k) = k - 4*k - 3*k + 9*k. Let y(i) = -4*a(i) + 3*l(i). Let r(h) = 2*h**2 - 32*h. Calculate r(y(m)).
2*m**2 - 32*m
Let j(h) be the first derivative of 3*h**2 - 206. Let u(n) = 7*n**2. What is j(u(b))?
42*b**2
Let b(v) = 107*v. Let x(j) = 16*j**2 - 3*j. Determine x(b(w)).
183184*w**2 - 321*w
Let l = -44 + 46. Let w(p) = 121*p**2 + 122*p**l - 246*p**2. Let x(b) = 4*b**2. Calculate x(w(j)).
36*j**4
Let p(u) = -26*u + 1. Let q(r) = 180*r - 180*r + 2*r**2. Give q(p(l)).
1352*l**2 - 104*l + 2
Let t(v) = -2*v**2. Let j(l) be the second derivative of -11*l**4/4 + l**3/6 + 114*l. What is j(t(s))?
-132*s**4 - 2*s**2
Let b(l) = -10*l**2. Let g be (-4)/10*-5 + -4. Let y(h) = 2. Let o(q) = -q - 1. Let d(x) = g*o(x) - y(x). Calculate d(b(v)).
-20*v**2
Let v(u) = -17*u + 2. Let c(q) = 798*q - 95. Let y(r) = -4*c(r) - 190*v(r). Let a(f) = -3*f**2. What is y(a(x))?
-114*x**2
Let c(f) = f**2. Let q(r) = 44*r + 38*r - r**2 - 11*r. Determine q(c(h)).
-h**4 + 71*h**2
Let x(v) = -2*v. Let w(b) be the third derivative of b**4/24 + 5*b**3 - 2*b**2 + 2. Calculate w(x(r)).
-2*r + 30
Let g(l) = -16*l**2 - 829*l + 9. Let s(u) = -u. Determine s(g(a)).
16*a**2 + 829*a - 9
Let i = -3 - -5. Let m(z) = -2*z**2 - 6*z**i - 9*z**2 + 0*z**2. Let v(q) = -2*q. What is m(v(y))?
-68*y**2
Let x(b) = 2*b. Let r(o) be the second derivative of o + 0*o**2 + 1/4*o**4 + 0*o**3 + 0. What is r(x(y))?
12*y**2
Let m(q) = -8 + 19*q + 6*q - 35*q. Let j(t) = 6*t + 5. Let l(w) = 8*j(w) + 5*m(w). Let n(z) = 3*z + 12. Determine l(n(f)).
-6*f - 24
Let i(f) = 422*f**2. Let a(h) = -6*h + 1. Determine i(a(y)).
15192*y**2 - 5064*y + 422
Let r(w) = -7*w**2. Let a = -12 + 14. Suppose 5 = z + a*m - 7, -4*z + 3*m = -81. Let p(x) = 3*x - z + 18 - x. Give p(r(t)).
-14*t**2
Let w(p) = -16*p - 245 + 245 + 7*p. Let z(j) = 7*j. What is z(w(n))?
-63*n
Suppose 0 = 2*f - u + 23, -3*u - 2 = -f - 6. Let x = -11 - f. Let q(v) = 2*v**2 + 3*v**x - 3*v**2. Let r(d) = 2*d**2. What is r(q(n))?
8*n**4
Let r(j) = -2*j**2. Let x(z) be the third derivative of -z**5/6 + 61*z**2. Calculate r(x(c)).
-200*c**4
Let w(p) = -9*p. Let a(n) = 7 + 16 + 15 - 61 - 2*n + 11. What is w(a(b))?
18*b + 108
Let u(o) = 422228*o**2. Let n(a) = 2*a**2. Give u(n(l)).
1688912*l**4
Let a(n) be the third derivative of n**4/4 - 117*n**2. Let d(o) = 10*o + 1. Give d(a(k)).
60*k + 1
Let y(f) = -62*f. Let d(o) = 3445*o**2. Calculate d(y(q)).
13242580*q**2
Let a(n) = -44*n**2. Let x(o) = -129*o**2 + 18*o. Let s(q) = -36*q**2 + 5*q. Let t(u) | {
"pile_set_name": "DM Mathematics"
} |
-4*l + 4, 5*l - 3*y + 2 = -4*y for l.
0
Solve -k + 4*h + 17 = 9*h, -5*k - 4*h = -1 for k.
-3
Solve -3*k + l + 10 = 22, 0 = -3*l for k.
-4
Solve 4*f + 2*t - 15 = 5*f, -5*f = -4*t + 45 for f.
-5
Solve 24*y - 19*y + 10 = 5*a, 4 = -y for a.
-2
Solve -i + 5*r + 5 + 18 = 0, 0 = -5*i + 3*r + 27 for i.
3
Solve 5*t + 12*o = 7*o - 5, -t + 3*o + 3 = 0 for t.
0
Solve -3*c + 4*n + 27 = 0, 2*c - 3*n = -7*n - 2 for c.
5
Solve 0*y = -y - 2*m - 3, 5*y = -3*m + 6 for y.
3
Solve 0 = 4*q - x + 3*x + 16, -5*x = 5*q + 15 for q.
-5
Solve 4*p + 6 = -5*v - 0*v, -p = v + 2 for p.
-4
Solve 0 = s - 5*j + 22, 4*s - j = -4*j + 27 for s.
3
Solve 3*x - 25 + 30 = -4*y, 0 = 5*y + 2*x + 15 for y.
-5
Solve -3*a + 5*f + 11 = 2, -a + 5*f = -13 for a.
-2
Solve 0*w - 24 = -5*d - w, -2*d - w + 12 = 0 for d.
4
Solve 3*x + 5*i - 1 = 0, 1 = -4*i - 3 for x.
2
Solve -5*y - 12 = 2*a, y - 6 = -2*a + 5*y for a.
-1
Solve -6*p + 9*p - 5*j = 0, -28 = -5*p - j for p.
5
Solve 12 = 4*k - 2*s, 3*s - 5*s - 4 = 0 for k.
2
Solve 5*r + 14 = 2*d, 6*r = -d + 7*r + 1 for d.
-3
Solve -5 = -5*m + 5*n, -5*m - 2*n = -6*m for m.
2
Solve -2*x + 7 = -x + 2*t, 3*x - 3*t = -24 for x.
-3
Solve -5*k + 18 - 3 = 0, -5*k = 3*h - 30 for h.
5
Solve -2 = -2*f - 2*r, -12*r + 16*r = -3*f + 4 for f.
0
Solve -3*l + t = -18 - 1, 2*t = -8 for l.
5
Solve 4 = 3*c - 8*c - o, -3*o + 3 = 0 for c.
-1
Solve -2*g + 5*g + 3*x - 3 = 0, g - 4 = 2*x for g.
2
Solve 5*c + 15 = z - 2*z, -29 = 2*c + 5*z for c.
-2
Solve -5*q + 2*k - 26 = 0, q + 3*k = -4*q - 11 for q.
-4
Solve a + 293 - 300 = 2*u, 2*u = -4*a - 12 for u.
-4
Solve -4*b = -4*d - 36, 7*b + d - 1 = 6*b for b.
5
Solve 3*w - 45 = 7*w - 5*s, 4*s - 10 = -2*w for w.
-5
Solve 4*v - 6 = y - 9, v = 4*y - 12 for v.
0
Solve 7 = t + 5*o, 3*t - 89*o = -85*o + 2 for t.
2
Solve 0 = -4*n - 3*q + 19, -4*n + 8*n + 11 = 3*q for n.
1
Solve 0*k + 5*x = 3*k - 19, -5*k - x = -13 for k.
3
Solve 0 = 3*s - 5*y + 25, 5*s + 2*y = -0*y + 10 for s.
0
Solve 0*d - 2*d - x = 2, 4*d + x = 0 for d.
1
Solve 0 = 2*a + 3*d - 0*d + 17, -a - 16 = 3*d for a.
-1
Solve -10*n = -7*n - 3*d + 6, 2*n + 16 = 5*d for n.
2
Solve 5*u = -n + 6*n - 5, n - 4 = 2*u for n.
-2
Solve 0*h = 4*q - 2*h, 0 = 3*q + h for q.
0
Solve -b - 22 = -4*s, 5*b - 6*s = -4*s - 20 for b.
-2
Solve 2*w + a - 6 = -w, -w + a + 6 = 0 for w.
3
Solve -5*z - 21 - 7 = 3*d, 0 = 5*d + 4*z + 25 for d.
-1
Solve 3*p + p - 2*o = -18, 5*p = 2*o - 20 for p.
-2
Solve 3*s - 1 = 3*n + 8, -13 = 5*n - 3*s for n.
-2
Solve -2*q + 2 = 40*c - 38*c, -3*c + 9 = 0 for q.
-2
Solve -5*a + 2*r + 15 = -0, -5*r = -25 for a.
5
Solve 0 = 3*t - 4*l + 11 + 1, t - 3*l = -4 for t.
-4
Solve -6*i = -4*i - q + 3, -3*q = i + 12 for i.
-3
Solve 0 = 4*b + 3*w - 19, -4*b + 2*w + 10 = 16 for b.
1
Solve -5*n - 33 = -4*x - 39, -3 = -2*n + x for n.
2
Solve -3*z + z + 6 = 0, 4*d = -2*z + 6 for d.
0
Solve -3*f - 5 = -5*q - f, 0 = -2*q - 3*f + 2 for q.
1
Solve 14 = -4*c + 5*p + 20, 3*p = 4*c - 10 for c.
4
Solve -3*n + 5*z - 6 + 5 = 0, z = 5*n - 13 for n.
3
Solve -3*r + 11 = -5*m, 5*r = -5*m - 4 + 9 for r.
2
Solve 4*y - 3*x + 18 = 0, -4*x + 4 = -4*y - 16 for y.
-3
Solve -4*f - z = -19, -5*z + 21 - 10 = -f for f.
4
Solve 0 = 4*b + 7 + 9, 5 = 5*t - 5*b for t.
-3
Solve 3*s = 2*u - 2, 0 = 2*s + 3*u - u + 18 for s.
-4
Solve 3*c - 7*w = -3*w - 2, 4*w = 4*c for c.
2
Solve -3*t = -5*a - 27, 3*a + 5 = -t - 0 for t.
4
Solve 2 - 21 = 4*t + f, -2*f = 2*t + 14 for t.
-4
Solve 4*x + 2*y + 14 = 0, 5*x + 4*y - 5 + 27 = 0 for x.
-2
Solve 0 = -5*f - 0*m - 3*m - 14, 9 = 3*f - 4*m for f.
-1
Solve 2*x = -10*u + 12*u + 2, 2*u = -2*x - 18 for x.
-4
Solve -3*r - 21 = 3*h, h - 2*r = -0*h + 2 for h.
-4
Solve 0 = -t + 4*y - 13, 0 = 41*t - 40*t + 2*y - 5 for t.
-1
Solve s + r = -4*r - 22, 3*r = 2*s - 8 for s.
-2
Solve 2 = 4*s - 2*o + 4, 0 = -4*s - o - 5 for s.
-1
Solve -2*u = -5*u - 4*i + 28, 3*u + i - 16 = 0 for u.
4
Solve 0 = 4*h + 4*a - 5 + 1, 5*h + a = -3 for h.
-1
Solve 0 = 3*c + 2*c + 2*z, 0 = -3*c - 3*z + 9 for c.
-2
Solve -2*f - y = -6, -3*f + 6*f - 2 = -5*y for f.
4
Solve -p = -7*o + 8*o + 8, 0 = -3*p + 2*o + 6 for p.
-2
Solve 0 = 2*x - 5*c + 5, -1 = -x + c - 5 for x.
-5
Solve 5*i - 22*w = -26*w - 9, -2*i + 5*w - 30 = 0 for i.
-5
Solve 23*a - 26*a + q + 16 = 0, -2*q - 7 = -a for a.
5
Solve -20 = -3*x - 4*j, -4*j = -26*x + 24*x for x.
4
Solve 0 = 2*y - 0*y + 5*w - 17, -5*y + 5*w - 10 = 0 for y.
1
Solve -4*z = 17*w - 15*w + 14, 3*z + 2*w = -11 for z.
-3
Solve 5*v - 9 - 4 = 2*l, -2*l - 12 = -4*v for l.
-4
Solve -3*h + 6*o - 11*o = 24, -27 = 4*h + 5*o for h.
-3
Solve 9*y - 4*y - 11 = 4*a, y = 4*a - 1 for y.
3
Solve -5*g - 5*i + 2*i = -2, g = -i for g.
1
Solve -4*v = -16, -v = 2*r - 7*r + 11 for r.
3
Solve 5*z = -5*f + 5, -4*f + 3*z - 5 + 37 = 0 for f.
5
Solve 5*d = 3*y + y + 23, -3*y = 3*d - 3 for d.
3
Solve f - 2 = 5*b, 0 = 4*b + 14*f - 17*f + 6 for b.
0
Solve -65*a + 4*h = -69*a + 28, -11 = -a - 3*h for a.
5
Solve -2*m = -2*d - 8, 7 = 4*d + m + 13 for d.
-2
Solve -w + 6*w - 5 = 4*c, 5*c - 45 = -4*w for w.
5
Solve 0 = -2*a - 6*h + 2*h - 12, 4*h = 2*a + 4 for a.
-4
Solve 0 = -3*n, 4*v + 2*n = -3*n for v.
0
Solve 16*r - 13*r = 2*l - 2, l - 4*r = 6 for l.
-2
Solve -15 = 5*l, 20*w - 17*w = l + 12 for w.
3
Solve 5*k = -2*p + 17, 30*p - 12 = 28*p - 4*k for p.
-4
Solve -c + 4*p = 5 - 21, -c = 3*p + 12 for c.
0
Solve 5*k = -4*a - 157 + 146, a + 2*k = -2 for a.
-4
Solve -4*i - 2*m + 10 = 0, 25*i - 23*i - 3*m = 9 for i.
3
Solve 0 = 4*d + 5*i + 2, 0 = -d - i - 2*i + 3 for d.
-3
Solve y = 6*y - z - 20, -z = 4*y - 16 for y.
4
Solve -5*k - 2*p = 30, k - p - 25 = 6*k for k.
-4
Solve -2*c - p = -1, 5*p - 2 = -7 for c.
1
Solve -a + 3*m = -3, 0*m + 3*m = -3*a + 9 for a.
3
Solve 4*q + 17 = 4*l + 3*q, 0 = 5*q + 5 for l.
4
Solve -3*s = -2*t + 3, 4*t + 7*s + 3 = 4*s for t.
0
Solve -21*h + 2 = -17*h - 3*c, 4*h + 8 = -2*c for h.
-1
Solve 0 = -v + 5*v, -2*p + 4*v = 0 for p.
0
Solve 4*c = 5*y - 47 + 20, 3*y - 5*c = 24 for y.
3
Solve -5*j + 9*j = 3*r + 24, -5*j + 2*r + 23 = 0 for j.
3
Solve -w + 3*q = -12, -2*q - 5 - 2 = -w for w.
-3
Solve 3*y = 9, m - y = 4*y - 19 for m.
-4
Solve 0 = -4*r - 3*z + 35, 14 = 5*r + 2*z - 21 for r.
5
Solve -4*q = -5*m + 173 - 204, 27 = 3*q - 5*m for q.
4
Solve -991*x + 986*x + 4*w = 33, -5*x + w = 27 for x.
-5
Solve -5*k + 25 = -3*v, 27 = -5*v - 66*k + 67*k for v.
-5
Solve -12*o - 22 = -2*p, 2*p - 3*p - o = 10 for p.
-7
Solve -4*p = -o - 2, 2*o - 6*o - 8 = 4*p for o.
-2
Solve 7 = -u - 5*n + 4*n, -4*u + 3*n = 0 for u.
-3
Solve 4*i = 5*m + 10, -2*i + 27 - 11 = 3*m for m.
2
Solve -4*v = -4*m + 20, 4*v + 8 = 3*m - 8 for v.
-1
Solve 2*o - 13*p - 4 = -11*p, -p = -4*o + 2 for o.
0
Solve -2*o = 3*o + 4*l - 9, -40 = -4*o + 5*l for o.
5
Solve -p - 5*f = 10, -59*f = -3*p - 63*f + 3 for p.
5
Solve 5*u + 14 = 8*b - 7*b, 2*b + 8 = -2*u for u.
-3
Solve 10 = 3*f - 3*d - 2, 2*f - 38 = -4*d for f.
9
Solve 3*r = t - 1, -3*t - 2*r + 0*r + 3 = 0 for t.
1
Solve -2*n + 5*j - 15 = -0*j, 15 = 5*j for n.
0
Solve 3*k = -3*l - 15, -2*k - 16 = 5*l - 0*l for l.
-2
Solve 5*o + f = o + 11, 5*o - 30 = 2*f for o.
4
Solve 3*d - l - 11 = 0, 2*d - 4*d = -2*l - 14 for d.
2
Solve -4*c + 12 = -4*t + 8*t, -t - 2*c = -6 for t.
0
Solve -u + 2*i - 4 = -4*u, 0 = 3*i + 12 for u.
4
Solve 4*h = 2*r, -40*h - 12 = -38*h + 2*r for h.
-2
Solve -3*k + 2*x = -8*k - 10, -k - 25 = 5*x for k.
0
Solve -2*a + 2 + 5 = 5*w, 3*a + 3 = -3*w for a.
-4
Solve 0 = 4*k + s - 15, 4 = k + 5*s + 5 for k.
4
Solve 3*x + 9 = 4*i, 3*i - 7 = -2*x + 4 for i.
3
Solve -4 = 4*g, -u + 3 = 6*g + 8 for u.
1
Solve 2*j = k + 3*j - 2, 2*k + 4*j = 0 for k.
4
Solve j = -0*j + 4*p + 20, -2*p = -j + 10 for j.
0
Solve -10*l + d = -7*l + 5, 0 = -5*l - 4*d - 14 for l.
-2
Solve 2 = 53*j - 56*j + 2*l, 3*j - 3*l + 3 = 0 for j.
0
Solve 3*c + 2*p = -3, 4*c + 0 + 4 = p for c.
-1
Solve 12*v - 16*v + x = -14, 0 = -5*x + 10 for v.
4
Solve -5*k - 10 = 5*u, -5*u = -10 - 5 for k.
-5
Solve 0 = b + 3*f + 1 + 1, 4*b + 15 = -5*f for b.
-5
Solve -3*u + 3*h - 18 = 0, -79 = 2*h - 85 for u.
-3
Solve 19*x - 22*x - 7 = 4*l, l + 2*x = 2 for l.
-4
Solve v + 4*f = 6*v - 21, 3*v = 2*f + 13 for v.
5
Solve -5*l = 4*v - 16, 0 = 2*v + 47 - 55 for l.
0
Solve k - 3 = 0, -5*y - 4 = -3*y - 4*k for y.
4
Solve 6*w - 18 = 11*w - 4*f, 3*f - 12 = 3*w for w.
-2
Solve 10*t + x = 6*t + 4, -t - 8 = -2*x for t.
0
Solve 3*u + 9 = -3*m, 6*m = u + 2*m - 2 for u | {
"pile_set_name": "DM Mathematics"
} |
uppose 2*v - 2*q = -4*q + 30, 2*q = -v + 20. Let u = -7 + v. What is d(u)?
6
Let y be 4/22 - 320/(-55). Suppose y*s = -0*s + 30. Suppose -s*h + 2*r - 6 = 0, 3*h + 3 = h + r. Let u(p) = -p - 8. Determine u(h).
-8
Suppose -60 = q - 4*q. Let d = q - 23. Let h(s) = -s**2 - 4*s + 2. What is h(d)?
5
Let y(a) = -74*a**3 + 115*a**3 - 8*a + 7*a. What is y(-1)?
-40
Let t(y) = -4*y**2 - y + 2. Let a(x) = x**3 + x**2 + x - 1. Let g(p) = a(p) + t(p). Give g(2).
-3
Let u(d) = 3*d**3 + 0 - 6 - 4*d**3. Let m be ((6 + 175/(-30))*0)/(-1). What is u(m)?
-6
Let z(l) = -3*l**2 + 42*l + 44. Let s be z(15). Let w(g) = -g**3 - g**3 - g**3. Give w(s).
3
Let t = 10 - -2. Suppose 4*z + t = -v - v, 20 = -5*z. Let q(l) = -31*l**2 + 33*l**v - l - 3 + 4. What is q(1)?
2
Let q(r) be the second derivative of r**5/20 + 11*r**4/12 - r**3/6 - 13*r**2/2 + 66*r. Determine q(-11).
-2
Let p(r) = -3*r - 2. Let w = 294 - 301. Calculate p(w).
19
Let i be (11 - 14)/(-4 - 15/(-6)). Let a(z) = -z**2 + 2*z + 1. What is a(i)?
1
Let h(z) = -8*z + 5 - 5*z**2 + 8 + 6*z**2 - 9 + 4. What is h(6)?
-4
Let h be (-17)/(-3) + 8/(-12). Suppose 0 = -2*w - h*f - 7 + 26, 3*f = -3*w + 15. Let i(p) = 1 + 2*p + 1 + w*p - p. Give i(-2).
-4
Let b(w) = 5*w**2 - 2*w - 2. Let s(o) = 7*o + 2. Let q(x) = -13*x - 3. Let f(z) = 6*q(z) + 11*s(z). Let c be f(2). Calculate b(c).
14
Let y(f) = f**2 + f. Let b(k) = 2*k**2 - 13. Let j(g) = -b(g) + y(g). What is j(0)?
13
Let d(k) = -k + 4. Let g(q) = 2*q**2 - 5*q + 6. Let c be g(2). Give d(c).
0
Suppose -6*t = 17 - 59. Let v(j) = -10*j + 9 + 0*j**3 - 5*j - j**3 + t*j + 7*j**2. Calculate v(6).
-3
Let n(m) = m**3 - 5*m**2 + m - 5. Let o be n(5). Let l = -67 + 68. Let y(j) = l + 0*j + 5*j + o - 2*j. What is y(-5)?
-14
Let a = -2828 - -2831. Let h(f) = -f + 4. Calculate h(a).
1
Suppose n + 4*l + 18 = 0, 0*l - 2*l - 4 = 3*n. Suppose n*q = -q. Let h(y) = -y**2 - y - 7. What is h(q)?
-7
Let b be 0/(1/(2/6*1)). Let v(l) = b - 3 + 4 - 2*l. What is v(-4)?
9
Let f(s) = 70*s**3 - 28*s**3 - 29*s**3 - 2*s + 3*s - 2*s**2. Determine f(1).
12
Let b(z) = z**2 - 14*z + 7. Let r(h) = -h**3 + 21*h**2 - 76*h - 12. Let k be r(5). Determine b(k).
-41
Let i = -4 + 9. Suppose i*y = -14 - 6. Let l(n) be the first derivative of -3*n**2/2 + 2*n + 3793. Give l(y).
14
Suppose 30 = v + 4*v. Let c be (2/v)/((-1)/(-24)). Suppose -4*a - c = -2*l, -2*l = 2*a + 3*a + 10. Let s(d) = -d + 2. Give s(a).
4
Let s(x) be the third derivative of 0 + 1/120*x**6 + 0*x - 1/8*x**4 - 5/6*x**3 + 12*x**2 - 1/20*x**5. Give s(4).
-1
Let a(z) be the second derivative of -z**4/12 - z**3/6 + 7*z**2/2 + z. Suppose 0 = -3*m + 12. Suppose 0 = -m*k + 11*k. Give a(k).
7
Let q(h) = -2*h**2. Let o(u) = -u**3 - 3*u**2 + 8*u - 1. Let j be o(-5). Let f = 7 - j. Give q(f).
-8
Suppose -477 + 486 = 3*h. Let c(n) = -10*n - 5. Give c(h).
-35
Let s(u) be the first derivative of u**2 - 30*u + 267. Determine s(8).
-14
Let g(h) = h**3 + 10*h**2 - 4 + 7*h - 5 - h**2. Let b(i) = 2*i**2 - 45*i + 190. Let y be b(6). Determine g(y).
-1
Suppose w = -2*w. Suppose 2*t + 6 = -4*j, w*j + 2*t + 15 = 5*j. Let f(p) = -3 - p + 6*p**2 - 1 + 5. Calculate f(j).
6
Let d(i) = i**2 + 5*i + 14. Let z(f) be the first derivative of f**3/3 + 2*f**2 + 15*f + 5. Let q = -54 + 51. Let l(m) = q*d(m) + 4*z(m). Calculate l(0).
18
Let n(o) = 3143*o**2 + 2*o**3 + 3154*o**2 + 2*o - 3*o**3 - 6299*o**2 - 5 + 0*o. Determine n(-4).
19
Let y(m) be the third derivative of -m**5/60 + 31*m**4/24 - 17*m**3/3 - 213*m**2. Give y(30).
-4
Let a(r) = -6*r**2 - r. Let z = 74 - 111. Let b = z + 36. Give a(b).
-5
Let q(x) = x + 7. Suppose -i + 3*i = 30. Suppose -i*v = -16*v. Suppose y + 2*y = v. Determine q(y).
7
Suppose 4*b - 12 = -o, 19*b = 4*o + 22*b - 22. Let i(v) = v**3 - 4*v**2 + v - 3. Determine i(o).
1
Let q(l) = 17*l - 1. Let z = 509 + -510. What is q(z)?
-18
Suppose 42 = 4*v + 2*z, 3*v - 3*z + 0*z - 18 = 0. Let b(q) = 2*q - v*q + 11*q - 1 - 1. Give b(2).
6
Let i(g) = g**3 + 8*g**2 - 7*g + 18. Suppose 5*p = 5*h - 45, 0 = 4*p - 2*h - 12 + 48. Give i(p).
0
Let n(w) be the second derivative of -w**4/12 + w**3 - 6*w**2 - 2*w - 4. Give n(6).
-12
Suppose -6*l + 4*c - 2 = 0, 2*c + 1 + 1 = 2*l. Let n(h) = -h**3 - 3*h**2 - 3. Give n(l).
-3
Let d(o) = o**3 + 10*o**2 + 26*o + 8. Let z be d(-6). Let y(u) = u**3 + 4*u**2 + 5*u - 4. What is y(z)?
-24
Let y(z) = -2*z + 12. Let d(k) = -k**2 + 9*k + 14. Let m be d(10). Give y(m).
4
Let c(h) = 1 - 2*h + 4*h**3 - 2*h**3 - 4*h**3 + h**2. Give c(1).
-2
Let r(m) = -m**3 + 5*m**2 + 5*m + 6. Let o be r(6). Let h(k) be the second derivative of 0 + 3*k**2 - 1/12*k**4 + 0*k**3 - 1/20*k**5 + 17*k. Calculate h(o).
6
Let b(v) = v + 26. Let l be b(-10). Let r(g) = -4*g - 11*g + l*g - g**3 + 5*g**2 + 6. Calculate r(5).
11
Suppose -x - 2*x = 2*y + 16, -37 = 3*y - 2*x. Let s = y + 7. Let i = s + 1. Let c(w) = -w - 2. Determine c(i).
1
Let k(n) = -n**3 + 4*n**2 + 3*n. Let a = 13 + -9. Let s = 0 + a. Suppose -3*z + 2*z + s = 0. Calculate k(z).
12
Let j = -2 + -3. Let r(o) = -2*o**2 - 8*o + 11. Let x be r(j). Let m(a) = -3*a**2 - a + 1. Determine m(x).
-3
Let l(t) = -7*t - 29. Let c(f) = -5*f - 26. Let z(b) = 6*c(b) - 5*l(b). Calculate z(13).
54
Let f(s) be the first derivative of 1/3*s**3 + 1 + 10*s + 9/2*s**2. Determine f(-8).
2
Let c(s) = -s - 5. Let h(z) = 3*z**2 + z**2 - 19 - z**3 + 12. Let m be h(5). Let n be (m/28 - -2)*-7. Give c(n).
1
Let b(o) = o**3 - 4*o**2 - 5*o - 10. Let c be 42/105 - (-161)/35. What is b(c)?
-10
Let f be 2/6 + (-1)/3. Let d(i) be the first derivative of 1/3*i**3 - 1/2*i**2 + 1 - 4*i. What is d(f)?
-4
Let k(l) be the second derivative of 3*l**3/2 - 5*l**2/2 + 39*l + 2. Determine k(4).
31
Let u(a) = -4*a + 2. Suppose 4*r - 2*q + 54 = -0*r, r + q = -6. Let p = -8 - r. Calculate u(p).
-10
Suppose 7*v + 5 - 180 = 0. Let z(q) = 15*q - 4*q**2 - v*q + 11*q. Give z(-1).
-5
Let r(t) be the second derivative of -t**5/4 - t**4/6 + t**3/6 - 30*t. Let o = 11 - 11. Let d be (o - -2)/(2/1). Give r(d).
-6
Let x be -9*(60/18 + -3)*-2. Let w(b) = -2*b + 9. Give w(x).
-3
Let a(p) be the first derivative of -p**4/12 - 5*p**3/6 + 5*p**2/2 + 7*p - 20. Let c(h) be the first derivative of a(h). What is c(-6)?
-1
Let s(u) = -u**2 + 5*u + 2. Let p(z) = z**2 + z - 24. Let a be p(7). Let v = 29 - a. What is s(v)?
-22
Let t(d) be the third derivative of -d**6/120 - 7*d**5/60 - d**4/8 - 4*d**3 + 2*d**2 + 32*d. Let b be t(-7). Let h(u) = -u**3 - u**2 + 5*u - 3. Determine h(b).
0
Let k(n) = 4*n**2 - 4*n + 3. Let g(y) = y**2 + 2. Let q(b) = -2*g(b) + k(b). What is q(3)?
5
Let p(s) be the first derivative of -s**4/4 - 2*s**3/3 - s**2/2 + 2*s + 18. What is p(2)?
-16
Let i(o) = -o**2 - o - 6. Suppose 0 = a + a - 10. Suppose 0 = -4*u + 8, -a*f + 8 = -10*f + 4*u. Determine i(f).
-6
Let n(t) = 2 + 7 + t**2 + 8*t - 3. Suppose 3*j - 237 = -252. Determine n(j).
-9
Let g(h) = 2*h + 5. Let c(y) = 4*y + 13. Let r(w) = -6*c(w) + 15*g(w). Calculate r(3).
15
Let j(s) = -9*s**3 - s**2 + 6*s + 13. Let w(n) = -11*n**3 - n**2 + 5*n + 15. Let r(q) = -5*j(q) + 4*w(q). Determine r(-4).
-13
Let p(v) = -v**2. Let u(j) = -j**3 + 6*j + 2. Let a(b) = 4*p(b) - u(b). Let z(q) = q**3 - 9*q**2 + 2*q - 13. Let m be z(9). What is a(m)?
-7
Let m(v) = v**3 + 8*v**2 + 6*v - 10. Let b(x) = -x**3 - 6*x**2 + 10*x + 14. Let k(a) = -8*a**3 + a**2 + a - 1. Let i be k(1). Let n be b(i). Give m(n).
-3
Let d(z) be the second derivative of z**5/20 + z**4/3 + z**3/6 - z. Suppose 6 = -21*q + 23*q. Suppose 0*s + 9 = -q*s. Calculate d(s).
6
Let a(g) = -g**3 - 4*g**2 + 4*g + 5. Let t(d) = -1. Let i(z) = a(z) + 3*t(z). Let h = 174 + -179. Calculate i(h).
7
Let s(q) = q**3 + 5*q**2 - 6*q - 15. Let r be s(-5). Let f(l) = -l**2 + 12*l + 37. Calculate f(r).
-8
Let k(d) be the first derivative of -3*d**2/2 - 5*d - 35. Let v = -16 + 12. Determine k(v).
7
Let o(y) = -y**2. Let d be 0 + 2 - 3 - -3. Suppose 0 = d*w + h - 6, w - h = 3*h - 6. Determine o(w).
-4
Suppose -6*w + 2*w = -3*z + 2, -4*w = z - 6. Suppose 5*o = -z*t + 27, 3*o - 10 = 4*t + t. Let m = t + -2. Let p(c) = 16*c**2 + c. Give p(m).
15
Suppose -10*b + 25*b - 15 = 0. Let x(j) = 4*j**3 - 2*j**2 + 1. Calculate x(b).
3
Suppose -2*v - 161 + 145 = -o, -2*o + 3*v + 28 = 0. Let p(m) = 3*m - 14. Calculate p(o).
10
Let o = -624 + 633. Let f(t) = -t**2 + 6*t. Give f(o).
-27
Let | {
"pile_set_name": "DM Mathematics"
} |
ermine y(-195).
-5
Let v(w) = -w**3 - 53*w**2 + 554*w + 204. What is v(-62)?
452
Let d(m) = -4270*m - 34904. Determine d(-7).
-5014
Let b(i) = -235*i - 10977. What is b(-47)?
68
Let n(k) = 9*k**2 - 1081*k + 14404. What is n(15)?
214
Let n(t) = t**2 + 36934*t - 1849197. What is n(50)?
3
Let f(y) = 7425*y - 6551. Give f(1).
874
Let l(d) = 650210*d - 3251063. Determine l(5).
-13
Let t(v) = -3*v**3 - 12*v**2 + 495*v + 2501. What is t(-5)?
101
Let y(h) = 341*h - 2552. Calculate y(7).
-165
Let m(o) = -2*o**2 - 4767*o - 52471. What is m(-11)?
-276
Let i(r) = -147*r**2 - 328*r + 34. Calculate i(-3).
-305
Let z(y) = -10037*y + 90074. What is z(9)?
-259
Let z(n) = -20706*n + 1076691. Calculate z(52).
-21
Let g(k) = -141*k - 853. Give g(-6).
-7
Let w(g) = -3*g**3 + 117*g**2 - 921*g - 1. Determine w(11).
32
Let p(w) = 2*w**3 - 17*w**2 + w - 7. Determine p(7).
-147
Let v(t) = -5*t**3 - 166*t**2 - 64*t - 925. Calculate v(-33).
98
Let y(x) = -141*x - 6247. Calculate y(-44).
-43
Let v(k) = -k**3 + 68*k**2 + 640*k - 279. Calculate v(76).
2153
Let k(x) = 3*x**2 + 113*x - 712. Give k(-39).
-556
Let i(v) = -v**2 - 42323*v - 761481. Calculate i(-18).
9
Let w(y) = 55762*y - 223083. Give w(4).
-35
Let w(g) = 150*g + 18214. Give w(-113).
1264
Let s(c) = -1207*c + 91721. What is s(76)?
-11
Let p(g) = -g**2 - 6107*g + 134835. What is p(22)?
-3
Let f(p) = 3*p**2 + 614*p - 551143. What is f(-543)?
2
Let d(i) = -i**3 + 9*i**2 + 117*i - 678. Give d(14).
-20
Let z(u) = 29*u + 6299. Calculate z(-201).
470
Let f(s) = -s**2 + 928*s - 1471. Give f(0).
-1471
Let k(q) = 4*q**2 - 486*q + 6046. Determine k(13).
404
Let q(m) = -63*m - 1343. Calculate q(-19).
-146
Let m(s) = 4*s**2 - 308*s + 5265. Determine m(26).
-39
Let q(s) = -2*s**3 + 10*s**2 + 177*s - 1087. Give q(6).
-97
Let s(c) = c**3 - 69*c**2 - 576*c - 1256. Calculate s(77).
1824
Let f(n) = 51*n**2 + 7385*n + 22164. Determine f(-3).
468
Let p(c) = -c**3 + 15*c**2 + 307*c - 413. Calculate p(26).
133
Let x(a) = a**3 - 22*a**2 + 90*a - 165. Determine x(19).
462
Let g(s) = 389*s - 14367. What is g(37)?
26
Let u(k) = -60*k**2 - 96*k - 167. Calculate u(-2).
-215
Let b(h) = -5175*h - 113883. Determine b(-22).
-33
Let j(y) = 1429*y**2 + 14272*y - 207. Determine j(-10).
-27
Let q(y) = -y**3 + 279*y**2 + 1071*y - 121. Give q(-4).
123
Let l(i) = 2*i**2 + 26619*i + 133040. Give l(-5).
-5
Let l(r) = -3*r**2 - 26427*r - 237572. Determine l(-9).
28
Let c(m) = 2*m**2 + 5815*m - 87653. Give c(15).
22
Let s(g) = 86*g - 5460. What is s(64)?
44
Let k(y) = -136*y + 805. Give k(5).
125
Let i(h) = h**3 - 81*h**2 - 308*h + 31028. What is i(80)?
-12
Let p(g) = 6179*g + 241026. Give p(-39).
45
Let b(y) = 13*y**3 - 393*y**2 - 307*y + 86. What is b(-1)?
-13
Let g(v) = 6*v**3 - 22*v**2 + 7*v + 135. Calculate g(-2).
-15
Let i(b) = 6482*b - 531595. What is i(82)?
-71
Let y(u) = 12451*u + 86590. Calculate y(-7).
-567
Let l(o) = -42052*o + 126147. Calculate l(3).
-9
Let t(o) = -134617*o - 2153865. Determine t(-16).
7
Let p(o) = 292*o - 15394. Give p(52).
-210
Let s(x) = 5044*x + 887744. Determine s(-176).
0
Let a(n) = 4*n**3 + 5*n**2 + 177*n + 523. Give a(-3).
-71
Let g(d) = 8*d**2 - 138*d + 1329. Determine g(14).
965
Let t(m) = -243*m - 2323. Determine t(-3).
-1594
Let p(h) = -h**3 + h**2 + 487*h + 3972. Calculate p(-12).
0
Let t(u) = 16*u**2 + 9*u + 1242. What is t(0)?
1242
Let w(v) = 2*v**2 - 43*v - 494. Determine w(38).
760
Let h(o) = 4*o**3 + 121*o**2 - 19*o - 14. What is h(-30)?
1456
Let r(l) = 2006574*l - 42138056. Give r(21).
-2
Let t(r) = 1130*r + 345765. Calculate t(-306).
-15
Let n(h) = h**3 + 382*h**2 + 35960*h + 1708. Determine n(-214).
-4
Let h(c) = 13862*c + 124106. Give h(-9).
-652
Let m(v) = 20*v**2 - 228*v - 48. Calculate m(7).
-664
Let u(h) = 944737*h + 5. Determine u(0).
5
Let h(t) = 747*t + 723. Determine h(-3).
-1518
Let a(h) = 36743*h + 2057616. Determine a(-56).
8
Let d(o) = -11*o**3 - 626*o**2 + 34*o + 295. Give d(-57).
1606
Let r(w) = 10457*w + 1349092. What is r(-129)?
139
Let f(o) = 664*o**2 - 40479*o + 15. Give f(61).
1540
Let w(j) = -220*j - 34865. Determine w(-160).
335
Let r(i) = -26920*i - 1642125. What is r(-61)?
-5
Let r(q) = -2*q**2 - 160*q - 3318. What is r(-25)?
-568
Let o(b) = 13076*b - 13063. What is o(1)?
13
Let y(l) = l**2 - 13806*l + 234414. Give y(17).
1
Let n(b) = -2*b**3 - 20*b**2 + 478*b + 4081. Calculate n(-8).
1
Let v(h) = -2*h**3 - 22*h**2 + 996*h - 3238. Give v(15).
2
Let a(u) = -134*u**2 + 710*u + 555. Give a(6).
-9
Let b(l) = 406*l**2 + 2487*l - 8. Calculate b(-6).
-314
Let r(k) = 10*k**3 - 192*k**2 + 100*k - 1147. Calculate r(19).
31
Let d(o) = o**3 + 119*o**2 - 17*o - 2027. What is d(-119)?
-4
Let r(j) = 10567*j - 190295. What is r(18)?
-89
Let k(q) = -q**3 + 4*q**2 - 112*q - 115. Determine k(-10).
2405
Let u(q) = -13*q**2 + 1664*q + 49. Give u(127).
1700
Let t(d) = 3*d**3 - 369*d**2 - 10*d - 140. Give t(123).
-1370
Let l(t) = -t**3 + 41*t**2 + 2*t + 2226. Give l(40).
3906
Let b(r) = 530*r - 128987. What is b(246)?
1393
Let u(o) = 165*o**2 - 18655*o + 1135. Determine u(113).
5
Let k(b) = 31*b**2 - 344*b - 2257. Calculate k(-6).
923
Let l(d) = -80965*d - 323850. Calculate l(-4).
10
Let a(y) = 27*y**2 - 578*y - 180. What is a(22)?
172
Let u(l) = -3*l**2 + 109*l + 677. Calculate u(42).
-37
Let w(x) = 41*x - 3120. Calculate w(65).
-455
Let m(p) = p**3 - 25*p**2 + 228*p - 5678. Determine m(25).
22
Let b(r) = -3*r**2 - 33670*r + 134664. What is b(4)?
-64
Let n(b) = 90*b**2 + 324*b + 966. Calculate n(-3).
804
Let l(j) = -27*j**3 - 3220*j**2 - 779*j + 6420. What is l(-119)?
-6
Let z(h) = h**2 - 1314*h - 55547. Calculate z(-41).
8
Let m(v) = -1007*v + 145435. Give m(147).
-2594
Let u(a) = -14*a**3 - 4*a**2 - a + 50. Calculate u(4).
-914
Let b(z) = -60*z**2 - 1366*z + 1814. Give b(-24).
38
Let p(r) = -850*r + 5838. Give p(7).
-112
Let p(x) = -6*x**2 + 13548*x + 13546. What is p(-1)?
-8
Let k(r) = r**3 - 624*r**2 + 1894*r - 19251. Determine k(621).
0
Let a(d) = -362*d**3 - d**2 - 2*d - 1. Calculate a(-1).
362
Let h(w) = -32*w**2 - 542*w - 30. Determine h(-14).
1286
Let l(b) = -b**3 + 18*b**2 - 97*b + 2497. Determine l(20).
-243
Let c(x) = 1428*x - 6132. Calculate c(4).
-420
Let h(u) = u**3 - 3*u**2 - 598*u + 1795. Calculate h(3).
1
Let n(p) = 70*p - 10045. Calculate n(154).
735
Let q(u) = -2*u**3 + 20*u**2 - 106*u + 409. Give q(4).
177
Let x(s) = 2301*s + 53002. Give x(-23).
79
Let i(w) = 17*w**2 + 140*w - 477. Calculate i(-11).
40
Let p(o) = -o**2 + 147*o - 5301. What is p(58)?
-139
Let i(k) = -3051*k + 222509. Calculate i(73).
-214
Let x(z) = -z**3 - 84*z**2 - 87*z - 369. Calculate x(-83).
-37
Let q(n) = -15764*n + 47301. Determine q(3).
9
Let b(z) = z**3 + 58*z**2 - 184*z + 133. What is b(-61)?
194
Let u(o) = -3*o**2 + 1061*o + 16230. Determine u(-15).
-360
Let k(x) = x**3 + 29*x**2 - 18*x - 2508. Calculate k(-26).
-12
Let p(m) = -27126*m - 271249. What is p(-10)?
11
Let s(l) = 2*l**2 + 298*l - 3187. Determine s(-160).
333
Let i(t) = -3*t**3 + 109*t**2 - 615*t - 3829. Give i(27).
-22
Let b(z) = 2*z**2 - z - 1549. Calculate b(-33).
662
Let g(q) = -33828*q - 3416661. Calculate g(-101).
-33
Let o(j) = 33607*j - 100824. Calculate o(3).
-3
Let a(y) = -y**3 + 10*y**2 + 38*y + 32. What is a(11)?
329
Let h(g) = -4609*g - 788252. What is h(-171)?
-113
Let n(u) = -17*u**2 + 4662*u - 31792. Calculate n(7).
9
Let m(n) = n**3 - 37*n**2 - 12*n - 867. What is m(38)?
121
Let f(i) = -3*i**2 + 389*i + 4302. What is f(141)?
-492
Let h(t) = 11*t**2 - 1386*t - 2697. Give h(128).
119
Let y(v) = 8694*v + 99071. What is y(-11)?
3437
Let b(a) = 2*a**2 - 194*a + 4585. Calculate b(56).
-7
Let k(l) = l**2 - 261*l - 6521. Determine k(-23).
11
Let u(k) = 23*k**3 + 8*k**2 + 685*k + 685. What is u(-1)?
-15
Let h(a) = -2*a**3 - 721*a**2 - 990*a + 31210. Calculate h(-359).
-23
Let z(i) = -2284*i + 7082. Determine z(3).
230
Let c(y) = -y**3 + 39*y**2 - 150*y + 7361. Calculate c(39).
1511
Let t(q) = -11*q**2 + 1334*q - 4245. Calculate t(118).
3
Let k(o) = -44*o**3 - 3*o**2 - 75*o - 71. What is k(-1)?
45
Let w(r) = -1726*r - 48342. What is w(-28)?
-14
Let l(g) = 22*g**2 + 24*g - 7470. Determine l(-19).
16
Let z(r) = -6888*r**2 - 112*r - 113. What is z(-1)?
-6889
Let n(l) = 148*l + 9182. Calculate n(-62).
6
Let s(f) = 180*f**2 + 14041*f + 5. | {
"pile_set_name": "DM Mathematics"
} |
of picking 2 n?
6/91
Four letters picked without replacement from khkkkkkhkkh. Give prob of picking 1 k and 3 h.
4/165
Four letters picked without replacement from oowoeqwwqo. What is prob of picking 1 o, 1 w, and 2 e?
0
What is prob of picking 1 v and 1 j when two letters picked without replacement from {q: 2, u: 1, j: 1, v: 1}?
1/10
What is prob of picking 2 k when two letters picked without replacement from dkibibikbbbb?
1/66
Two letters picked without replacement from {u: 4, z: 1, s: 1, j: 1, v: 4, a: 1}. Give prob of picking 1 j and 1 a.
1/66
Calculate prob of picking 1 v and 1 n when two letters picked without replacement from mmmmmmmvmmmmmmmnmmm.
1/171
Calculate prob of picking 2 f when two letters picked without replacement from fxkkkkkolxktkk.
0
Three letters picked without replacement from {p: 5, r: 2, y: 1, e: 4, o: 2, l: 1}. What is prob of picking 2 e and 1 r?
12/455
Two letters picked without replacement from aafkenauauuu. What is prob of picking 1 u and 1 k?
2/33
Three letters picked without replacement from bbhqhqllhllbllllhbl. What is prob of picking 1 h, 1 l, and 1 b?
48/323
Two letters picked without replacement from {z: 6, n: 4, l: 2, k: 1, e: 2, g: 2}. Give prob of picking 2 g.
1/136
Calculate prob of picking 2 v and 2 k when four letters picked without replacement from vkwzixviiwvvizizwkzw.
2/1615
What is prob of picking 3 t when three letters picked without replacement from {t: 10}?
1
What is prob of picking 1 e and 1 g when two letters picked without replacement from {m: 2, g: 2, e: 1, j: 1, l: 1}?
2/21
Four letters picked without replacement from {y: 3, x: 2, g: 5, n: 1, v: 1}. What is prob of picking 1 y, 1 x, and 2 g?
4/33
Calculate prob of picking 1 i, 1 r, and 2 n when four letters picked without replacement from qqqiiwwqninniqnnqrnq.
4/323
Three letters picked without replacement from vzvvvvvzhvhh. What is prob of picking 2 v and 1 z?
21/110
Calculate prob of picking 1 u and 1 s when two letters picked without replacement from uuuuuuuuusuuu.
2/13
What is prob of picking 2 m when two letters picked without replacement from {a: 2, v: 1, m: 6, s: 5, k: 3, r: 3}?
3/38
Two letters picked without replacement from iykybkyyy. What is prob of picking 1 i and 1 b?
1/36
Calculate prob of picking 1 e and 1 i when two letters picked without replacement from {i: 1, u: 10, e: 7}.
7/153
Calculate prob of picking 3 q when three letters picked without replacement from {q: 7, p: 5}.
7/44
Three letters picked without replacement from wwwgggw. What is prob of picking 3 g?
1/35
Two letters picked without replacement from xwxxmzf. What is prob of picking 1 f and 1 z?
1/21
Three letters picked without replacement from oasdkkkoqsskddoq. What is prob of picking 1 s, 1 o, and 1 k?
9/140
What is prob of picking 2 t, 1 z, and 1 b when four letters picked without replacement from btbbbtbzbbbbbbtbb?
39/2380
Two letters picked without replacement from rrrrrrrkrrrrkrrrrr. Give prob of picking 2 r.
40/51
Three letters picked without replacement from {t: 3, i: 1, x: 3, d: 3, z: 1, p: 2}. Give prob of picking 1 i and 2 p.
1/286
Three letters picked without replacement from {h: 15, p: 2, e: 3}. Give prob of picking 1 h and 2 e.
3/76
What is prob of picking 1 q and 1 d when two letters picked without replacement from nndrllnqrlvvv?
1/78
Four letters picked without replacement from {r: 4, z: 2, s: 5}. What is prob of picking 1 z, 1 s, and 2 r?
2/11
What is prob of picking 1 r and 1 e when two letters picked without replacement from rsenr?
1/5
Calculate prob of picking 2 a and 1 y when three letters picked without replacement from ayayaaayyaaayaayaay.
154/323
Three letters picked without replacement from ffnsnfsyzsyzsf. What is prob of picking 2 s and 1 y?
3/91
What is prob of picking 2 t when two letters picked without replacement from ttr?
1/3
What is prob of picking 1 n and 1 u when two letters picked without replacement from {u: 2, a: 7, t: 1, f: 5, n: 3}?
2/51
Calculate prob of picking 1 u, 2 x, and 1 q when four letters picked without replacement from {u: 4, x: 2, q: 1}.
4/35
Three letters picked without replacement from cuccuc. What is prob of picking 3 c?
1/5
Three letters picked without replacement from {k: 6, h: 2, w: 1, p: 3, f: 5, m: 3}. What is prob of picking 2 h and 1 p?
1/380
Four letters picked without replacement from rrfff. Give prob of picking 3 f and 1 r.
2/5
Calculate prob of picking 3 y when three letters picked without replacement from yyyyyy.
1
Four letters picked without replacement from badrfbdi. What is prob of picking 1 b, 1 a, and 2 d?
1/35
What is prob of picking 1 x, 1 a, and 1 g when three letters picked without replacement from {p: 5, x: 3, a: 9, g: 1}?
9/272
What is prob of picking 1 z and 1 s when two letters picked without replacement from {l: 2, s: 3, g: 1, z: 13}?
13/57
What is prob of picking 1 f and 1 v when two letters picked without replacement from ffvvfwvvwffvvvf?
2/5
Three letters picked without replacement from yyyyhyhyyh. What is prob of picking 1 h and 2 y?
21/40
Two letters picked without replacement from {t: 3, q: 5, a: 3, u: 1, x: 2, b: 1}. What is prob of picking 1 q and 1 x?
2/21
Three letters picked without replacement from {y: 1, g: 7, r: 6, b: 2, o: 1}. Give prob of picking 2 b and 1 g.
7/680
Calculate prob of picking 2 e, 1 l, and 1 p when four letters picked without replacement from {l: 2, p: 3, e: 3}.
9/35
Four letters picked without replacement from egbzebbgxbddbddxd. What is prob of picking 1 z, 1 d, 1 b, and 1 g?
5/238
Two letters picked without replacement from bjjbvbbbbbvjjv. Give prob of picking 2 b.
3/13
What is prob of picking 2 b, 1 y, and 1 e when four letters picked without replacement from cwbybee?
2/35
Two letters picked without replacement from yibboi. What is prob of picking 2 b?
1/15
What is prob of picking 2 a and 1 e when three letters picked without replacement from ajemmajjjjam?
3/220
Calculate prob of picking 1 s and 2 y when three letters picked without replacement from yysysysssssyyysyys.
27/68
Three letters picked without replacement from qctucqzquugu. Give prob of picking 2 q and 1 u.
3/55
Three letters picked without replacement from gmjwzffj. What is prob of picking 1 f, 1 g, and 1 w?
1/28
Calculate prob of picking 4 h when four letters picked without replacement from {p: 10, h: 4}.
1/1001
What is prob of picking 2 f when two letters picked without replacement from {f: 11, m: 3}?
55/91
Calculate prob of picking 3 p and 1 o when four letters picked without replacement from {p: 3, t: 4, d: 1, s: 2, o: 6, q: 2}.
1/510
Calculate prob of picking 1 s and 2 x when three letters picked without replacement from {x: 4, s: 13, m: 3}.
13/190
Calculate prob of picking 2 i when two letters picked without replacement from {i: 4}.
1
What is prob of picking 2 f and 1 j when three letters picked without replacement from fjjavjjvjjafzajjvzz?
8/969
Four letters picked without replacement from ggpaxaxpxgpwagwppcp. Give prob of picking 2 x, 1 g, and 1 c.
1/323
Calculate prob of picking 1 x and 1 r when two letters picked without replacement from {i: 1, x: 2, w: 1, l: 2, r: 1, c: 2}.
1/18
What is prob of picking 2 m when two letters picked without replacement from {p: 6, m: 9, s: 2}?
9/34
Calculate prob of picking 3 s and 1 k when four letters picked without replacement from sskkkksssskss.
56/143
What is prob of picking 2 n when two letters picked without replacement from {n: 7, v: 6}?
7/26
What is prob of picking 1 i, 1 v, and 1 x when three letters picked without replacement from xxvcicccvii?
4/55
Two letters picked without replacement from hhdhhwhhdddhddddhhh. What is prob of picking 1 d and 1 w?
8/171
What is prob of picking 2 j and 2 a when four letters picked without replacement from {m: 1, v: 1, c: 2, a: 5, k: 2, j: 2}?
2/143
Four letters picked without replacement from {t: 7, r: 2, n: 7}. What is prob of picking 4 n?
1/52
Calculate prob of picking 3 a when three letters picked without replacement from aaaaaaaaaagagaaaag.
455/816
What is prob of picking 2 r and 1 o when three letters picked without replacement from qhoqhrhnnhrqpq?
1/364
Two letters picked without replacement from nkfkknkffkfkffkkn. What is prob of picking 1 n and 1 f?
9/68
Calculate prob of picking 2 h when two | {
"pile_set_name": "DM Mathematics"
} |
8, 3*g = -4*w + 7*w - 18. Calculate the smallest common multiple of (1 + 0/(-1))*6 and w.
6
What is the lowest common multiple of 16 and (88/(-12))/((-14)/84)?
176
Let h = 340631676 - 2379869575/7. Let p = 4007243/6 - h. Let n = -17569 + p. Find the common denominator of n and 83/22.
462
Let v(n) = -2*n - 4. Let w be v(-4). Suppose 3*h = 2*i - 14, w*i - 2*h = h + 22. What is the lowest common multiple of i and 14?
28
Calculate the smallest common multiple of 24 and ((-4)/(-6))/(42/630).
120
Let w be (4 - 2)*(-18)/4. Calculate the common denominator of 0 - 0 - 0 - w/(-20) and 113/18.
180
Let u = 15263/1596 + 8/399. Calculate the common denominator of 129/110 and u.
660
Let u = 118 + -68. Calculate the least common multiple of 30 and u.
150
Let g(q) = -4 + 314*q - 1 - 328*q. Calculate the lowest common multiple of g(-1) and 21.
63
Suppose -3*t + 305 = -5*z, -5*z + 0*t - 295 = -5*t. Let j = z - -115. What is the least common multiple of 21 and j?
357
Suppose v = 5*i + 96, 96 = -2*v + i + 333. Let h = 827/7 - v. Let l = -1265/2 + 2567/4. Calculate the common denominator of l and h.
28
Let g = -1190 - -1202. Let i(k) = -3*k - 3. Let c be i(-5). What is the lowest common multiple of g and (-3)/(-12) + 117/c?
60
Let h(n) = 27*n + 36. Let t be h(-4). Calculate the common denominator of 25/21 and (6/3 - 145)/t.
504
Suppose 3*f = -0*f, j - 2*f = -2. Let u = -2 - -12. What is the common denominator of (-327)/12 - j/(-8) and u?
2
Suppose 0*j = 3*q - 4*j - 52, -j - 58 = -3*q. Suppose -3*h + 0 = -5*b + 39, 0 = -h + 4*b - 20. Let p = q + h. What is the least common multiple of p and 12?
12
Suppose a - 195 = x, 13*a - 17*a + 5*x + 783 = 0. What is the lowest common multiple of 352 and a?
2112
Let d = -15919/18640 - 101/233. Find the common denominator of d and -58/55.
880
Let x be 9 - 1 - 0/1. Calculate the smallest common multiple of -1 + 0 - (-33 + x) and 5.
120
Let h be -2*(-1)/8*(-1408290)/(-105). Let n = h - 3348. Find the common denominator of n and 0 - (1 + 61/(-10)).
70
Let h(r) = -9*r - 23. Suppose 2*b - 7 = 2*n - b, 5*n + 29 = -4*b. What is the lowest common multiple of h(n) and 22?
22
Let o = 713/132 - 3/44. Find the common denominator of 73/6 and o.
6
Let i be 789458*(-1)/(-219232) - 3. Let z = i - 15/3536. What is the common denominator of z and 65/16?
496
Find the common denominator of 77/18 + 2/4 and (-68)/(-96) + 1/(-3).
72
Let r = -662821/14300 + 2311/50. Let g = 48353/8580 - r. Calculate the common denominator of g and 1/6.
30
Suppose -a + 18 = 278. What is the common denominator of (-39)/a*(-303)/9 and 107/20?
20
Let u(p) = p**3 - 10*p**2 + p + 8. Suppose 3*c = 10*c - 49. Calculate the lowest common multiple of u(10) and c.
126
Find the common denominator of -43/760 and (4/(384/1854))/((-27)/(-12)).
2280
Let a(d) = 212*d**2 + d - 2. Let r be a(-2). Let i be (-3)/9 + r/12. What is the lowest common multiple of 20 and (i/7)/(2/4)?
20
Let y = 21 + -22. Let z be (y - 5/(-4))*862. Let w = -2243/10 + z. Find the common denominator of 25/8 and w.
40
Find the common denominator of (11 - 6 - (-31)/(-6)) + 3 and (50/(-9))/1 - -1.
18
Let s = 42 + -17. Suppose -3*x + 119 = -10*x. Let l = s + x. Calculate the lowest common multiple of l and 14.
56
Suppose o - 5*c - 655 = -4*o, 3*o = -2*c + 413. What is the lowest common multiple of 15 and o?
135
Let n = 5203 - 31291/6. Find the common denominator of n and 35/92 - (2 + -1).
276
Let t(c) = -3*c + 105. Calculate the lowest common multiple of t(-14) and 8.
1176
Let n(f) = f**3 + 5*f**2 - 3*f - 3. Suppose 98 = 8*j + 2. What is the smallest common multiple of n(-5) and j?
12
Let g(f) = f**2 + f - 2. What is the lowest common multiple of g(5) and 28?
28
Let o(y) = y**2 - 8*y - 4. Let k be o(9). Let q = 7 - k. Let l = 20 - q. What is the lowest common multiple of l and 14?
126
Calculate the least common multiple of 2 + -7 + (-1)/(1/(-361)) and 12.
1068
What is the common denominator of 115/6 and 6/(-152)*((-2471)/(-1722) - 1)?
18696
Let m = 36 + -32. Suppose m*b = 32 - 8. What is the least common multiple of 16 and b?
48
Suppose 20 = -2*f + i, f = -0*i - 5*i - 10. Let a = 8 + -4. What is the smallest common multiple of f/((-15)/(-3)) + 8 and a?
12
Let s(b) = b**3 + 5*b**2 + 2*b - 4. Let d be s(-3). Suppose 3*y = -5 + d. What is the least common multiple of 2 and y?
2
Let r = -2024 + 2103. Calculate the smallest common multiple of r and 6.
474
Let w = 2/31635 + 1402477/126540. Let f = 30/421 + -22673/5052. What is the common denominator of f and w?
12
Calculate the common denominator of 37/32 and 3/9 - (-3 - 2792/(-1248)).
416
Let w be ((-4869)/540 - -9)/((-2)/(-2666)). Let b be -1 + -1 - 202/40. Let f = b - w. Calculate the common denominator of f and 35/12.
12
Let r(o) = 97*o**2 - 3*o + 1. Let i be r(1). Suppose 4*n - i = 4*h - 307, -5*n = 5*h - 275. Calculate the least common multiple of 7 and h.
378
Let t be -1*(0 + -18)/(-2). What is the least common multiple of (-2)/t + (-106)/(-9) and 198/88*(-24)/(-9)?
12
Suppose 3*w + 23 = 4*x - 2*x, -2*x = 4*w + 12. Suppose -1 - 63 = -x*k. What is the lowest common multiple of k and 12 - -4*1/2?
112
Let h(t) = -t**2 - 4*t + 15. Let o = 14 - 20. What is the least common multiple of 5 and h(o)?
15
Let z = -78 + 97. Suppose z = 10*o - 1. What is the smallest common multiple of o and 87?
174
Let c be (-2 - -3)/4 - 333/(-12). Let l = c - 16. Calculate the lowest common multiple of l and 22.
132
Let r(u) = u + 2. Let s(l) = -1. Let h(q) = -2*r(q) - 6*s(q). What is the smallest common multiple of 2 and h(-16)?
34
Find the common denominator of 30/7 and ((-820)/245)/((-660)/70).
231
Suppose -4*g + 11 + 13 = 0. Suppose -3*j = -j - g. Let l(n) = -3*n - 5. Calculate the smallest common multiple of l(-5) and j.
30
Let s(w) = w**3 - 14*w**2 - 17*w + 36. Let j be ((-2)/3)/(2/12). Let r(b) = -3*b - 5. Calculate the lowest common multiple of r(j) and s(15).
42
Suppose 2*z + 4*o + 21 - 121 = 0, -z + 46 = o. What is the lowest common multiple of z and 21?
42
Let w be (-5059)/5 - 5/(15/9). Let t = 30919/30 + w. What is the common denominator of t and -51/10?
30
Let g = -286 + 398. Calculate the smallest common multiple of 16 and g.
112
What is the smallest common multiple of (-714)/(-15) - 6/(-15) and 6?
48
Calculate the common denominator of -55/736 and (94/(-40))/((-348)/580).
2208
What is the lowest common multiple of 2 and 16928/176 - 4/22?
96
Calculate the common denominator of 4/(-12) + (-524)/24 and (-10)/85 - (-5186)/1020.
30
Suppose 3*w + 684 = -3*u, -3*u - 2*w = 313 + 372. Calculate the common denominator of 41/9 and 16/(-60)*(-1 - u/(-8)).
90
Let v(s) = -8*s - 3. Let i be v(-3). Let f = -3/2729 - -275641/10916. What is the common denominator of f and (i/6)/((-2)/(-10))?
4
Suppose -385*u - 516 = -388*u. What is the least common multiple of 5 and u?
860
Let k = -655 + 11131/17. Find the common denominator of -71/16 and k.
272
Let m be (-9)/54 + (-137)/6. Let p = m + 22. Find the common denominator of -1/10 and -89*(-4)/8 - p.
10
Suppose 6 = 3*h - 6. Let k be -2 - 1 - (-39 - h). Suppose 6*a - k = 2*a. What is the smallest common multiple of a and 2?
10
Let q = -69 - -74. Suppose 5*r - q = 5. Calculate the common denominator of r and -67/2.
2
Suppose 0 = 3*t - 40 - 8. What is the common denominator of -10 and (-326)/15 + t/40?
3
Suppose -2*s - 2*s + 22 = 3*g, g = -s + 7. Calculate the lowest common multiple of 54 and 2/g - 106/(-6).
54
Let u be 11421/(-40)*(-2)/33. Let f = u + -3/55. Let m = 3760/3 - 1241. Find the common denominator of m and f.
12
What is the common denominator of 4/75 and (31/3)/((-7)/(-2))?
525
What is the common denominator of -53/5 and 1020/2222 - 1/(33/6)?
505
Suppose 4*v + 4*u - 132 = 0, -5*u = v - u - 24. What is the least common multiple of v and 116?
1044
Let y = -9 + 1. Let a(z) = -z**3 - 9*z**2 - 10*z - 7. Let f be a(y). Suppose -f = -2*g + 9. What is the least common multiple of g and 6?
18
Suppose 12 = -12*v - 0. Calculate the lowest common multiple of v + 4 - 2 - -4 and 5.
5
Let a = -51 - -163. Suppose -7*c - a = -5*c. Calculate the smallest common multiple of ((-96)/c)/(2/14) and 6.
12
Let r(w) = 2*w + 34. Calculate the smallest common multiple of r(13) and 24.
120
Suppose a + 5*s - 40 = 0, -3*a + 30*s = 29*s - 136. Calculate the lowest commo | {
"pile_set_name": "DM Mathematics"
} |
**2 - 4*s**2)*(680*s + 196252 - 196252).
-2720*s**5
Expand 2*c**3 - 5*c**3 + 4*c**3 + (-c**2 - 2*c + 2*c)*(-3*c + 6*c - c) + 2 - 2 - c**3 + 3*c**3 - 2*c**3 + 0*c**3 + 3*c + 57*c**3 - 14*c**3 + 0*c.
42*c**3 + 3*c
Expand (18359 - 18608 - 2*q + 4*q)*(-2*q**3 + 4 - 4).
-4*q**4 + 498*q**3
Expand (-3*l - 7*l - 13*l)*(-104 + 40 + 44).
460*l
Expand 117*j**4 - 625*j**5 - 13*j**4 + 627*j**5 + 15*j**4 + (4 + j**5 - 4)*(-7 - 5 + 0).
-10*j**5 + 119*j**4
Expand (-10*h**2 + 46*h**2 + 11321*h - 998 - 22636*h + 11315*h)*(2*h**2 - h**2 + 0*h**2).
36*h**4 - 998*h**2
Expand 18*w**3 + 24*w**3 - 14*w**3 + (-2 - w + 2)*(-3*w**2 - w**2 + w**2).
31*w**3
Expand (-2*l + l - 2*l)*(3 + 0 - 1) + 3*l - 2*l + 1 - 3*l + (-12*l + 11*l + 7*l)*(-2 + 0 + 1) + l - l + l.
-13*l + 1
Expand (-5*r + 2*r - 9*r)*(r + 3*r - 3*r)*(320 + 295 - 538).
-924*r**2
Expand (-3*t**4 + 3*t**4 - 3*t**4)*(-1 + 0 + 2) + (-1 - t + 1)*(-4*t**3 + 20*t**3 + 3*t**3) + 0*t**4 + t**4 + 2*t**4.
-19*t**4
Expand (8*s - 20 + 20)*(618*s**3 - 644*s**3 - s**4 + 3*s**4).
16*s**5 - 208*s**4
Expand -2 + a**5 + 2 + (-2 + 2*a**3 + 2)*(3*a**2 - 7*a**2 + 3*a**2) + 88*a**5 + 75*a**5 + 71*a**5.
233*a**5
Expand (3 + 1 - 2)*(-19 - 35 - 18)*(4*t - 3*t + 2*t)*(4 + 3 - 5).
-864*t
Expand (-3*u + 3*u + u)*(-148 + 101 + 138) + 3 - 3 - u.
90*u
Expand (328*x + 25 + 25 - 38 + 3 - 39*x)*(0 + 0 + 2*x**2).
578*x**3 + 30*x**2
Expand (-4*t**4 - 1 + 1)*(t - t - t)*(-39 - 18 - 9).
-264*t**5
Expand (-2143 + 6562 + 3600 - 1188 + 6765 + 3558)*(0*d**4 + 3*d**4 + 0*d**4).
51462*d**4
Expand -30260 - 3198*w**4 + 30260 + (0*w + 0*w - 2*w**2)*(w - w**2 - w) + 3 - w**4 - 3 - w**4 + 4*w**4 - 5*w**4.
-3199*w**4
Expand ((-2 + 6 - 2)*(-1 - 4 + 3) - 2 - 2 + 6 - 7 - 4 + 7 + 123 - 46 - 211)*(-3*a**4 + 7*a**4 - 2*a**4).
-280*a**4
Expand (-h**2 - h**2 + 0*h**2)*(-2*h + 3 - 3)*(-6*h**2 - 3*h**2 + 2*h**2)*(-107 - 1181 + 17).
35588*h**5
Expand 4*f - 2*f - 4*f + (-3*f - f - 14*f)*(3 + 2 - 1).
-74*f
Expand (-1 + 4 - 1)*(3 - 2 - 2)*(-2 - 1 - 9)*(52*p - 53*p + 0 - 2).
-24*p - 48
Expand (5*b**2 - 2*b + 2*b)*(35*b**2 + 5 - 69*b**2 + 26*b**2).
-40*b**4 + 25*b**2
Expand (5 - 6 - 22)*(0*w**2 - w**2 + 0*w**2) - 57*w**2 + 2*w - 3*w + w.
-34*w**2
Expand (21*h + 27*h - 1 - 65*h)*(-4 + 0 + 0)*(-h + 2*h + 2*h) + 0*h**2 - h**2 - 2*h**2.
201*h**2 + 12*h
Expand (-1 + 1 - v)*(5*v - 2*v - v) + v**2 - 4*v**2 + 2*v**2 + 2*v**2 - 2 + 2 - 1786*v**2 - 2140*v**2 - 1633*v**2.
-5560*v**2
Expand (3 - 3 - 2*s)*(-2*s + 6*s - 3*s) + (33*s - 21*s + 35*s)*(-2*s + 4*s + 0*s)*(1 - 2 + 5).
374*s**2
Expand (24*d + 24*d - 15*d)*(-2*d**2 - d**2 + 11*d**2) + 0*d**3 - 3*d**3 + 2*d**3.
263*d**3
Expand ((-o + 2*o + 0*o)*(1 + 3 - 3) + 4*o - 2*o + o + (4*o + 0*o - 2*o)*(1 - 1 + 2) + (-6 - 3 + 0)*(o - 4*o + 5*o))*(-363*o**2 + 363*o**2 - 52*o**4).
520*o**5
Expand (-2 - 1 - 20)*(0 - 1 - 2)*(5 - 2*l - 5 + (15 + 5*l - 15)*(2 + 1 - 5)).
-828*l
Expand (-m + 0 + 0)*(-4*m + m + 5*m)*(46*m**3 - 569 + 569).
-92*m**5
Expand (2 - 2 - f + (-3506*f + 9111*f - 2524*f)*(4 - 6 + 0))*(-f**3 - 2*f**2 - f**3 + 0*f**2).
12326*f**4 + 12326*f**3
Expand (-13*u - 1 - 1 + u)*(1 - 6 - 236*u + 238*u).
-24*u**2 + 56*u + 10
Expand (-3*t + 6*t + 2*t)*(4*t**3 - 3*t**3 + 2*t**3)*(t + t + 0*t + (-t + t - 2*t)*(-1 + 2 + 1) + 67*t - 69*t - 372*t).
-5640*t**5
Expand 0*j**3 - 4*j**3 - 31*j**3 + (2*j - j**3 - 2*j)*(-3 + 0 + 5) + j**3 + 2*j - 2*j + (-j + 4*j - 4*j)*(11 + 4*j**2 - 11).
-40*j**3
Expand (-54*o + 4*o + 50*o - 1031*o**4)*(2 - 3 - 2).
3093*o**4
Expand (88 - 17 + 3)*(-18 + 10*f + 2*f + 19).
888*f + 74
Expand (-1043 + 837*i + 2087 - 1042)*(55 - i - i - 46).
-1674*i**2 + 7529*i + 18
Expand (0*m**3 - 3*m**3 + 4*m**3)*(7*m + 5*m**2 - 15*m**2 - 11*m**2).
-21*m**5 + 7*m**4
Expand (1 + 2 - 4)*(-17 + 160 + 22*f - 144).
-22*f + 1
Expand (49*x + 75329 + 75319 - 150711)*(-6 + 4 + 1).
-49*x + 63
Expand (2*t**2 - 2*t**2 - t**2)*(-173 + 450 + 247).
-524*t**2
Expand (2 - 2 + 2*q**3)*(21 - 7 + 0) + (4*q**2 - 3*q**2 + q**2)*(2*q - q + 0*q) + 8*q**3 - 2*q**3 - 7*q**3.
29*q**3
Expand (-3 + 0 + 5)*(15*q + q - 5*q)*(-58 - 16 - 36).
-2420*q
Expand (-1 - 139*a - 152*a + 24*a)*(3*a**3 - 4*a**3 - 2*a**3) + 0*a**4 + 15*a**4 + 0*a**4.
816*a**4 + 3*a**3
Expand (33*m + 50*m + 7*m + 2*m + 2*m - 6*m + (-7 + 3 + 3)*(4*m + 0*m - 2*m))*(-16*m + 15*m + 2 + 19*m).
1548*m**2 + 172*m
Expand (-80*m - 2800 + 2800)*(-1 + 0 + 3) + 0 + 2*m + 0 + (-2 + 2 - m)*(-3 + 2 + 3) + (1 + 2*m - 1)*(0 - 4 + 6) + 0*m + m + m.
-154*m
Expand (2 - 3 + 2 + (-2 + 4 + 0)*(2 - 2 + 1))*(882*g + 372*g + 239*g).
4479*g
Expand 123291*x**2 - 2 + 3 - 41*x - 123289*x**2 + (-1 - 1 + 5)*(2 - x**2 - 2).
-x**2 - 41*x + 1
Expand (-28*t + 0*t - 12*t)*(-5*t**3 - 2*t**3 - 2*t**3) + (-t**2 + 3*t**2 + 0*t**2)*(0*t**2 - 5*t**2 + 4*t**2).
358*t**4
Expand (412*w - 255*w + 443*w)*(-2 + 4 - 3) - 6*w - 1 + 4*w - 1.
-602*w - 2
Expand (-2*t**2 + 2*t**2 + t**2)*(-3*t + 0*t + 4*t) + (4*t**2 + 12*t**2 - 4*t**2)*(60*t - 49*t - 47*t).
-431*t**3
Expand (-5 - 2 + 1)*(5 - 3 - 4)*((2 - 4 - 9)*(0*u + 0*u - 3*u) + 1 + 2*u - 1).
420*u
Expand (3*f + 4*f + 0*f)*(-7*f - f + 5*f)*(-5 + 5 + 7)*(5 - 5 - 4*f)*(1 + 6 + 1).
4704*f**3
Expand (6*q - 4*q + 10*q)*(q - 3*q + q)*(5*q + q - 4*q)*(-3 + 4 - 3).
48*q**3
Expand (2 - 2 - w**3)*(1 - 4 + 4)*(20*w + 2*w + 13*w) - 16*w**4 - 50*w**4 + 15*w**4.
-86*w**4
Expand (5*v + 14 - 14)*(7*v + v**2 - 7*v) - 3*v**2 - 4*v**3 + 3*v**2.
v**3
Expand 610 - 610 - 444*p + (2 - 3 + 2)*(2*p + 4*p - 5*p).
-443*p
Expand (-3 + 4 - 4)*(1 - 1 - 2)*(0 + 2 - 3)*(4 - 2 + 3)*(o - 4*o - 3*o).
180*o
Expand -5*l**2 - 3*l**2 + l**2 + (-53*l**2 + 47*l**2 + 36*l**2)*(7 + 8 - 6).
263*l**2
Expand -z + 0 + 0 + (-2 + 4 - 3)*(-z + 2*z - 3*z) + 2 + z - 2 + (10 - 10 - 10*z)*((1 - 2 + 4)*(-2 + 0 - 1) - 4 - 1 + 3).
112*z
Expand (0*d + 0*d + 2*d**4 + (-2 + 1 + 2)*(0 + d**4 + 0) + 12*d**2 - 6*d**4 - 12*d**2 - 16*d + 16*d - 16*d**4)*(-1 - 1 + 1).
19*d**4
Expand (1579 - 1578 - 9*h - h + 2*h**2)*(-1 + 2 - 4 + (-2 - 1 + 4)*(-1 - 3 + 3) - 43 + 109 + 65).
254*h**2 - 1270*h + 127
Expand (13068*b**2 - 26129*b**2 - 104*b - 1 + 13069*b**2)*(4*b - 3*b - 2*b).
-8*b**3 + 104*b**2 + b
Expand 4*y**2 - 4*y**2 + y**5 + 2 + y**5 - 2 + (38 - 3 - 213)*(-2*y**4 + 2*y**4 - 2*y**5).
358*y**5
Expand (-55 - 96 + 47 - 2*o - 83)*(4*o + 0*o + 3*o)*(2*o**2 + 4*o**2 - 5*o**2).
-14*o**4 - 1309*o**3
Expand -8*p**2 + 4*p**2 - 3*p**2 + (2*p - 6*p + p)*(0 + 0 - 2*p) + 48*p**2 - 8*p**2 + 5*p**2.
44*p**2
Expand (2*f**4 + 5*f**4 - 2*f**4 + (3*f**2 - f**2 - 3*f**2)*(-3*f**2 + 0*f**2 + 5*f**2))*(-5 - 31 - 1)*(2*f + f - 6*f).
333*f**5
Expand 21 - 21 - 16*h**5 - h**5 - h**5 + 0*h**5 + (3 - 1 - 1)*(h**5 - h**5 - 2*h**5) + 2*h**5 - 7*h**5 + 3*h**5.
-22*h**5
Expand (3 + 1 - 2)*(11*t - 7*t - 2*t)*(58*t + 9*t + 2*t)*(2*t**2 + 3*t**2 - 6*t**2).
-276*t**4
Expand (-39 + 1 - 91 - 22)*(84 - 5*z - 84).
755*z
Expand (1 - 2 + 2)*(226 - 226 - 205*i)*(-i**2 - 2*i**4 + i**2).
410*i**5
Expand (330 - 330 - 657*b)*(2*b - 2*b + b + b - 2*b + 3*b + (1 + 0 - 3)*(0 + 2*b + 0)).
657*b**2
Expand 0*m**4 - m**4 + 2*m**4 + 2*m**3 + 2*m**4 - 2*m**3 + (-71*m - 54 + 54)*(-3 - 1 - 1)*(7*m**2 - 3*m**2 - 3*m**2)*(-8*m - 2*m + 6*m).
-1417*m**4
Expand (-17*a**3 - 3*a**4 + 17*a**3 + (2*a**3 + 3 - 3)*(a - 2*a + 0*a) + 2*a**4 + 12*a**4 - 3*a**4)*(-112 + 112 + 29*a).
174*a**5
Expand (-1 + 2 + 0)*(-5 - 20 + 11)*(-14 + 14 - 5*f)*(0 - 3 + 0).
-210*f
Expand (4 - 9*z - 4)*(0 + 1 + 1)*(-48*z - 73*z - 5*z).
2268*z**2
Expand (-9 - 18 - 2)*(r**3 - r**3 + 2*r**3) - 46*r**2 + 46*r**2 + 8*r**3 + (5*r - 5*r - r)*(-5*r + r**2 + 5*r) - 4*r**3 + r**3 + r**3.
-53*r**3
Expand (-3 - 1 + 3)*(30*l**5 + 13*l**5 - 15*l**5) + l**5 + 2*l**5 + 15*l**5.
-10*l**5
Expand 2 - 194*t**3 - 187*t**3 + 379*t**3 - 1156*t**4 + (3*t**3 + 4*t**3 - 4*t**3)*(0*t - 5*t + 3*t).
-1162*t**4 - 2*t**3 + 2
Expand (-z - z + z)*(1 + 0 - 3)*(72 - 29 - 348)*(-2*z**3 - z**3 - 3*z**3).
3660*z**4
Expand (711*u - 4058*u - 3190*u)*(3 + 1 - 5)*(-1 - 4 - 4 + 0).
-58833*u
Expand (-2*u**3 - 3*u**3 - u**3)*(4*u - 4*u + 2*u**2) + (-2*u + 5 - 5)*(2*u**4 + 2*u**4 - 5*u**4) + 93*u**5 - 70*u**5 - 67*u**5.
-54*u**5
Expand (8 - 3*i - 8)*(0 + 0 + i)*(88 - 10 - 10)*(-3 - 5*i + 3).
1020*i**3
Expand (26*f - 217*f + 10*f - 141*f)*(-12*f**2 + 16*f**2 - f**3 + 3*f**3).
-644*f**4 - 1288*f**3
Expand -47*k**3 + 7*k**3 - 446*k**3 + (3*k + 2*k**2 - 3*k)*(0*k + k - 3*k) - 3*k**3 - k**3 + 22*k**3.
- | {
"pile_set_name": "DM Mathematics"
} |
. Let t = 25 + -23. Suppose -t - n = -s. Put s, -1, 2 in descending order.
s, 2, -1
Let o = 0.0623 + 4.9377. Sort -0.079, -3, 2, o in ascending order.
-3, -0.079, 2, o
Suppose -2 = -s - 0. Suppose 3*y = -s*y. Let c = 1.2 - 0.8. Put -0.4, y, c in decreasing order.
c, y, -0.4
Let o = -0.71841 + 0.21841. Let k = -0.4 + 3.4. Sort -0.3, -1/8, k, o in ascending order.
o, -0.3, -1/8, k
Let o = 127 + -1139/9. Let s = -382 - -6893/18. Let l = s - o. Put l, -3/5, -2/11 in ascending order.
-3/5, -2/11, l
Let g = -166 + 166.3. Sort 0.2, 7/17, 2, g in decreasing order.
2, 7/17, g, 0.2
Let x be 5 + (-36)/(-12) - 5. Sort 12, -13, x.
-13, x, 12
Let j be ((-3)/10)/(3/4). Let g = -0.1261 + -0.8739. Put -0.3, g, j in decreasing order.
-0.3, j, g
Let f = -14.9 - -106.9. Let o = f + -84.1. Let t = o + -8. Put t, 2/7, -0.4 in descending order.
2/7, t, -0.4
Let n = -900 + 901. Put 3, -4, 0, n in decreasing order.
3, n, 0, -4
Let r = 12 - 46. Let b = r - -33.94. Put -4, 2, b in descending order.
2, b, -4
Let s(c) = -c + 1. Let u be s(-3). Let g = -0.22 + 0.32. Let v = 0.5 - g. Put 2/7, v, u in descending order.
u, v, 2/7
Let y = -20.9 + 20.97. Sort -1, -2/5, y.
-1, -2/5, y
Suppose -3*r - 1 = -7. Let u(w) = 10*w + 45. Let d be u(-4). Suppose -11*h - 6 = d. Put r, h, 2/21 in descending order.
r, 2/21, h
Suppose -28 = 11*h - 7*h. Let m = -2 + 6. Suppose m*t - 3*n - 27 = 0, n + 1 + 1 = -t. Put h, t, 5 in increasing order.
h, t, 5
Let u = 17.4 + 5.6. Let p = -22.5 + u. Sort -0.09, p, 2 in ascending order.
-0.09, p, 2
Suppose -l - 4*s = -6, -4*s = -l + 36 - 14. Suppose 4*m - 2 - l = 0. Suppose 4*j - m*p + 21 - 9 = 0, 0 = 2*j - p + 2. Sort -0.4, j, 0.1.
-0.4, 0.1, j
Let m = 0.6 - -0.4. Let j = -35 - -139/4. Sort j, m, 3 in descending order.
3, m, j
Let k = -64 + 59. Put -1/2, -0.2, -1, k in increasing order.
k, -1, -1/2, -0.2
Let x(n) = 2*n**3 - 22*n**2 - 14*n + 152. Let t be x(11). Suppose -10 = -5*q, 0*c = c - 4*q - 3. Sort c, 3, t in ascending order.
t, 3, c
Let q = 201 + -196. Suppose 4*s + s - 4*x = -46, 4*s - 3*x = -37. Let o = 8 + s. Sort q, 4, o.
o, 4, q
Let q be (-17 + 5 - (-2 - -5)) + 8. Put -1, 1, 0.1, q in increasing order.
q, -1, 0.1, 1
Let z = 426 + -423. Sort -5, -6, z, -2 in ascending order.
-6, -5, -2, z
Suppose -16 = -5*a - 3*z, -3*a + 0*a = z - 8. Suppose a*r = -4*n - n + 29, -3*n + 5*r + 5 = 0. Let t = -5 + n. Put t, 5, 3 in ascending order.
t, 3, 5
Let g = 442 + -442. Sort g, -2, -5, 5.
-5, -2, g, 5
Let c = 211/6 - 107/3. Put c, 1, 3 in descending order.
3, 1, c
Let v = 8 - 5. Let o = -6 + v. Sort -5, o, 2/11, 12 in increasing order.
-5, o, 2/11, 12
Suppose -3*a - 3 = 3. Suppose 4*w + 7 = -b, -12*b + 13*b + 10 = -5*w. Sort a, 1, w in increasing order.
w, a, 1
Suppose -3*r - 13 = 4*s, 0*r + 4*r + 13 = -s. Let k be 3*(-40)/24*(-1 - -2). Sort r, -8, 2, k in decreasing order.
2, r, k, -8
Let c = 277 - 274. Put c, -2, 21, -5 in ascending order.
-5, -2, c, 21
Let b be (-1)/(4/6)*-2. Let g = -14 + 17. Suppose -15 + 1 = -2*l + 5*n, 3*l + g*n - 21 = 0. Sort b, -5, l.
-5, b, l
Suppose 0 = -5*p - 20 - 0. Put p, 53, -12, -2 in increasing order.
-12, p, -2, 53
Let i = -1.49 + 0.19. Let p = -2.3 - i. Let u = 5.9 + -0.9. Put 0.2, u, p in descending order.
u, 0.2, p
Let g = -28.4 - -27.9. Sort 1/5, -1/36, g.
g, -1/36, 1/5
Let c = 44 + -45. Sort 0.2, 4, -2/17, c.
c, -2/17, 0.2, 4
Let r be 1/((-2)/(-9))*(-48)/(-9). Suppose 5*i = p + 118, r = 2*i - 4*p - 16. Put -1, 5, i, -2 in decreasing order.
i, 5, -1, -2
Let n = 158 + -159. Sort 0, 4, n.
n, 0, 4
Let d(y) = -3*y**2 - 21*y + 27. Let b be d(-8). Let o = 0.16 + 0.04. Let a = 2.2 - o. Put -0.4, b, a in descending order.
b, a, -0.4
Let c = -768 - -777. Put 25, c, -4 in decreasing order.
25, c, -4
Suppose 3*v + 187 = -m, -m + 3*v + 0*v = 163. Let r = -2626/15 - m. Sort r, -2/3, -2/9, -3 in decreasing order.
r, -2/9, -2/3, -3
Let l(d) = d**2 - 5*d + 4. Let b be l(4). Let h be (10/(-3) - -3)*(-40 - -4). Suppose -2*p = -p + 4*u - 19, -h = 2*p - 2*u. Sort p, b, 7.
p, b, 7
Suppose -10*z + 8*z = -56. Let q = -32 + z. Put q, 0, 3 in descending order.
3, 0, q
Suppose 0 = 294*h - 307*h + 65. Put h, 11, 4 in descending order.
11, h, 4
Let z = 2.023 - 1.023. Sort -1/4, 6, z, 2.
-1/4, z, 2, 6
Suppose 6*k = 5*k. Suppose -c + 12 = 2*c + h, 5*c - 3*h - 6 = 0. Let d = k - c. Sort 0.2, d, 2.
d, 0.2, 2
Let m be (16/(-18))/((-4)/(-30)*5). Sort m, -77, -0.5 in descending order.
-0.5, m, -77
Let t = 4 + -9. Let v(m) = 16*m**3 - m**2 - m - 1. Let r be v(-1). Let h = -19 - r. Sort t, -0.4, h.
t, h, -0.4
Let p(o) = -o**3 - 5*o**2 - 10*o - 5. Let d be p(-4). Suppose 4*l - 2*j - d = j, -1 = j. Let s be 12/10*(-10)/3. Sort -5, l, s.
-5, s, l
Let p(t) be the first derivative of t**3/3 - 3*t**2 + 5*t + 3. Let i be p(7). Let s be (9/6)/(45/(-40)). Put i, s, 2 in decreasing order.
i, 2, s
Let p(d) = -82*d - 243. Let q be p(-3). Put q, -33, 2, -4 in decreasing order.
q, 2, -4, -33
Let g = -4/255 - 40/51. Sort 5, g, -0.5 in ascending order.
g, -0.5, 5
Let s = -12 + 11.1. Let k = 4.9 + s. Suppose -7*a + 2*a - 2*p - 3 = 0, -3*p - 2 = 5*a. Sort 0, k, a in increasing order.
a, 0, k
Suppose -4*w + 4*z = 168, 4*w + 49*z = 44*z - 195. Let p(d) = d + 4. Let g be p(-4). Sort g, w, -0.5 in descending order.
g, -0.5, w
Let p = -5.32 + 5.25. Put 1/6, p, 5 in descending order.
5, 1/6, p
Let c = 1291 - 1294. Sort -1.9, c, -2, 1 in descending order.
1, -1.9, -2, c
Let r = 2807 - 2812. Sort r, -4, -0.04.
r, -4, -0.04
Let y = 1370 + -1372. Sort 2, y, 1, 0.6 in descending order.
2, 1, 0.6, y
Let f = 8 - 11. Suppose -w - x = 2*x + 13, 4*w - 3*x - 23 = 0. Put w, 5, f in descending order.
5, w, f
Let i = -518 - -517.9. Put i, -2, -4/7 in descending order.
i, -4/7, -2
Suppose -2*h = 3*n - 7, 11 = 2*h + 2*h + 3*n. Let i(q) = 5*q + 1. Let l(y) = -y. Let f(p) = i(p) + 6*l(p). Let u be f(h). Sort -9, 3, u in ascending order.
-9, u, 3
Suppose -3196*l = -3211*l. Let n be (0 - 1) + (-10)/2. Put n, -2, 1, l in decreasing order.
1, l, -2, n
Let u = -26 + 6. Let h = -19.96 - u. Let k = -0.4 - -0.6. Sort h, k, -5/4 in increasing order.
-5/4, h, k
Suppose -12*y + 29 + 31 = 0. Let z(t) = t**2 + 17*t + 27. Let w be z(-15). Put w, y, -1 in decreasing order.
y, -1, w
Let p = 0.25 + -0.65. Let a be (2 - 3)/((-2)/8). Put p, -1, a in descending order.
a, p, -1
Suppose 3*x - 17 = 4*j, 16*x + 5*j = 15*x - 7. Sort -8, x, 0, -2 in ascending order.
-8, -2, 0, x
Let t = 7.31 + -5.31. Put -0.1, 11, t in ascending order.
-0.1, t, 11
Let m(d) = -10*d + 1. Let z be m(-1). Suppose 47*r - 83*r + 520 = 68*r. Put z, r, 0 in descending order.
z, r, 0
Let a(y) = -5*y**2 + 9*y - 32. Let f be a(3). Put 4, f, 2 in descending order.
4, 2, f
Suppose -9 = 3*r - 6*r. Suppose -r*f - 24 = -36. Sort 0, f, -8.
-8, 0, f
Let a = -112 + 117. Sort a, -2/9, -4 in decreasing order.
a, -2/9, -4
Let i = -12 + 178/3. Let p = i - 47. Let b = -718.2 - -717.7. Put b, p, -1 in descending order.
p, b, -1
Let q = -404 - -409. Sort q, 2, -9 in descending order.
q, 2, -9
Let r be 22/(-84) - 40/70. Put -1, r, 8, 1 in increasing order.
-1, r, 1, 8
Suppose 0*q + 83*q + 581 = 0. Sort q, -3, 0.4.
q, -3, 0.4
Let m = -0.3329 + -1.6671. Let k = -15 + 10. Put m, 2, k, 1/3 in decreasing order.
2, 1/3, m, k
Let c = 13 - 10.68. Let x = c - 2.3. Let g = -0.18 - x. Sort g, -4/5, 0.1 in descending order.
0.1, g, -4/5
Let b(s) = s**3 - 5*s**2 - 10*s - 28. Let l be b(7). Sort 1, -2, -8, l.
-8, -2, l, 1
Let b be (1 + 1)*(-3)/(-2). Sort -4, -1, b, -3 in decreasing order.
b, -1, -3, -4
Let t be (0 + 4/(-28))/1. Let m = -0.6 - -0.8. Sort 2/9, t, m in ascending order.
t, m, 2/9
Let u be (0 - 4) + 12 + (-6)/2. Sort -3, -6, u, 2.
-6, -3, 2, u
Let q = -230 + 243. Sort q, -2, 4 in increasing order.
-2, 4, q
Let i(f) = -f**3 + 6*f**2 - 5*f - 5. Let v be i(4). Let r be v/((-105)/(-10))*-3. Sort r, -5, 0, 5 in increasing order.
-5, r, 0, 5
Suppose 36 + 32 = 4*n. Suppose 19 = 3*z - n. Let t(m) = -m**3 + 13*m**2 - 13*m + 18. Let f be t(z). Sort 2, f, 4.
2, 4, f
Let m(z) = 4*z - 13. Let n(x) = -9*x + 26. Let d(p) = 5*m(p) + 2*n(p). Let c be d(8). Let l be 0/9 + c*1. Put 1, -8, l in decreasing order.
l, 1, -8
Suppose -12 = -4*t + t. Let i be (8/20)/(t/5). Let z = 148 + -143. Sort i, 0.3, z in decreasing order.
z, i, 0.3
Suppose -4*h + 5*k = 3, 3*k + 1 = 2*h + 2. Let n | {
"pile_set_name": "DM Mathematics"
} |
= -0.06 - 1.14. Let b = -0.2 - c. Put b, x, -3, 3/8 in descending order.
b, 3/8, x, -3
Suppose 2*j + 184 = 5*n, -7*n + 12*n + 3*j - 174 = 0. Suppose 10*m = 16 - n. Put -8, 3, m, -1 in descending order.
3, -1, m, -8
Let n = -43.1 + -0.9. Let q = n - -43.958. Let r = -4.042 - q. Sort 2, -2/15, r in decreasing order.
2, -2/15, r
Let s = 0.09 + 0.47. Let y = -0.596 + s. Let g = y - 0.104. Sort g, -4, -0.1 in descending order.
-0.1, g, -4
Let p = 26.01 + -29.01. Sort -0.5, -0.4, p, 8 in ascending order.
p, -0.5, -0.4, 8
Let l = 0.0542 + -0.6982. Let i = -0.144 - l. Sort -0.2, i, -3.3, 3 in decreasing order.
3, i, -0.2, -3.3
Let y = 11669 - 46677/4. Put 237, -1, -0.5, y, 4 in decreasing order.
237, 4, y, -0.5, -1
Let b = -18682 + 18510. Put -4, 5, 3, b in decreasing order.
5, 3, -4, b
Let f be ((-120)/(-105))/((-408)/(-42)). Suppose u + 4*d + 13 = 0, 3*u - 6*u + 4*d + 25 = 0. Put u, -0.4, f in ascending order.
-0.4, f, u
Let k = 1862.6 + -1867.6. Put -2.5, -3/2, -3, 3/8, k in decreasing order.
3/8, -3/2, -2.5, -3, k
Let g = 137.1 - 148. Let z = g + 9.9. Put z, 5/3, 5 in descending order.
5, 5/3, z
Suppose 0 = -30*m - 30 + 150. Suppose -4*v + 3*k = -8, -2*v + m*k + 4 = -k. Put -3, -4, v, 14 in descending order.
14, v, -3, -4
Let j be 9/(-24) + (584/(-64) - -9). Put -0.2, j, 14/41 in decreasing order.
14/41, -0.2, j
Let g = 5 - 4. Suppose -784 = -i - 789. Let d be (-4)/(-24) + i/(-42). Sort d, -0.1, g, -13 in ascending order.
-13, -0.1, d, g
Let m be (-10)/40*3*40/(-4035). Let q = -263/807 - m. Sort q, -1.9, -2, 0.1.
-2, -1.9, q, 0.1
Let z be (-28)/(-42) + 8/3. Let u = 196/57 - z. Put 0.3, u, -4 in decreasing order.
0.3, u, -4
Suppose 664 = -54*w - 112*w. Sort 4, 0, 5/6, -1, w in ascending order.
w, -1, 0, 5/6, 4
Let f = 524.5 + -525. Sort 5, 2, 95, -3, f in descending order.
95, 5, 2, f, -3
Suppose 0*n + 2 = n. Suppose -66*s + 314*s = -397 - 347. Put -5, n, s in descending order.
n, s, -5
Let d(q) = q**3 + 7*q**2 + 7*q - 9. Let n be d(-6). Let l(j) = j**2 + 50*j - 281. Let v be l(5). Sort -4, n, -3, v in descending order.
-3, -4, v, n
Let n = -0.019 - 2.981. Let d(p) = 2*p - 14. Let a be d(6). Put a, n, 0.05 in increasing order.
n, a, 0.05
Let w = -1057 + 1057.6. Sort 20/7, w, -2 in ascending order.
-2, w, 20/7
Let d = 201.28 - 200.78. Sort 1/9, d, -4, 41, -0.5.
-4, -0.5, 1/9, d, 41
Suppose 2*c + 0 - 6 = 0. Let r = 27975 - 27980. Sort r, 1, 14, c.
r, 1, c, 14
Let k = -1.87 - -1.733. Let o = -3.863 + k. Sort -0.5, -1, -0.4, o in increasing order.
o, -1, -0.5, -0.4
Let v(g) = 90*g - 1258. Let z be v(14). Put 9, 3, 21, z, 1 in decreasing order.
21, 9, 3, z, 1
Let g be -20*(-33)/(-6) + -2. Let k = g + 112. Put 14, 2, 4, k in descending order.
14, 4, 2, k
Let a = -1345 - -1336.21. Let u = a + -0.21. Let r = 0.635 + -2.635. Put u, 0.4, r in increasing order.
u, r, 0.4
Let v = -0.132 - 0.084. Let u = v + 0.316. Suppose 3*i + 18 = -4*f, -4*i - f + 2 = 26. Sort -0.1, -6/7, u, i.
i, -6/7, -0.1, u
Let d = 3/3826 - -11457/26782. Let r = 23/54 - 1397/3375. Let u = -363/1000 - r. Sort 2/13, d, u in ascending order.
u, 2/13, d
Suppose -94*w = -91*w - 6. Let g be ((-26)/(-676))/((-7)/(-4) - w). Sort g, 2, -17, -1 in increasing order.
-17, -1, g, 2
Suppose -2*x + 2*h + 12 = 0, 0 = 3*x + 5*h + 1 + 5. Let d = -486633 + 486645. Sort x, 5, d in decreasing order.
d, 5, x
Suppose 5*j - v - 6 = 3, -2*j = 2*v - 6. Suppose 3*k = -p - j*p - 3, 21 = 4*k - p. Let n be (2 + 65/(-39))/(3/9). Sort -2, k, n.
-2, n, k
Suppose 19 = -5*c + 2*r, 3*c + 4*r + 1 = -0*r. Let i be ((-12)/8)/((-12)/(-32)). Let w be i*15/(-20) - 8. Put c, -9, w in descending order.
c, w, -9
Let y be (5/(-50))/(-3 - (-55)/20). Put y, 3, -2/13, -1.45 in decreasing order.
3, y, -2/13, -1.45
Let a = -21641 - -21662. Suppose -m = -3*f + 2, f + 2*m = -1 - 10. Let k = 1 + f. Put -3, a, -1, k in ascending order.
-3, -1, k, a
Suppose -2 + 7 = 5*n. Let r be 6/2*(-22)/(-33). Suppose r*t - 3*t = 1. Put -4, t, n in ascending order.
-4, t, n
Let r = -200750 - -200785. Let k(g) = -g**3 + 5*g**2 + 6*g - 3. Let x be k(6). Sort -4, r, x in increasing order.
-4, x, r
Let v = 23290 + -23309. Sort 5, v, -20 in ascending order.
-20, v, 5
Let q = 13379 - 13378.8. Let s = 0 - 1. Sort s, q, 3 in increasing order.
s, q, 3
Let f = -0.46 - -0.86. Let l = -417 + 418. Put 5, 0.3, l, f in increasing order.
0.3, f, l, 5
Suppose -3*k - 26 + 98 = 0. Suppose 0 = p - 7*p - k. Put 1, 0, -5, p in ascending order.
-5, p, 0, 1
Suppose -a - 58 = 4*u - 18, 14 = -2*u + a. Sort -2, u, 2 in descending order.
2, -2, u
Let m = -25/5138 - -690173/873460. Let a = 3/85 - m. Let i be 4/(-14) - (-10)/(-112). Put i, 0.5, a, -1 in ascending order.
-1, a, i, 0.5
Let g = 438 - 438.66. Let z = g - -0.7. Put 0, 4, 1, z in increasing order.
0, z, 1, 4
Let y = 64154/9 + -7128. Let d be 7/3*4/(24/90). Sort d, y, 2 in increasing order.
y, 2, d
Suppose 3*u - 469 = -3*t + 101, 2*u - 386 = -4*t. Sort 1, 0, 2, u in ascending order.
0, 1, 2, u
Suppose -193 + 5 = -35*c - 12*c. Sort -3, 92, c in decreasing order.
92, c, -3
Let n(v) be the second derivative of -v**5/20 + v**3/3 + 3*v**2/2 - 59*v. Let t be n(-1). Put -17, -3/7, t, 0.5 in decreasing order.
t, 0.5, -3/7, -17
Suppose -5*t + 3*a + 31 = 15, 5*t - 10 = 5*a. Suppose -4*n = t*h + 67, 2*h - 5*n - 1 = -8. Sort 4, h, 5.
h, 4, 5
Suppose -2*m + 3*g + 22 = 53, 0 = 5*m - 2*g + 50. Let b be ((-1)/1)/(5/(-25)). Put b, -5, -4, m in descending order.
b, -4, -5, m
Let v be -2*-7*1 - 18/6. Suppose -v*s = -3*s - 16. Suppose s*a - a = -a. Sort a, -5, 2 in decreasing order.
2, a, -5
Let c be 1 + (5 - (-4)/(-2)). Suppose -2*b + 5 = c*p + 13, -p - 5*b - 11 = 0. Put 16, -2, p, -3 in ascending order.
-3, -2, p, 16
Let d be ((-4)/(-10))/((-10)/400). Let m be ((-32)/48)/(2 - d/(-9)). Put 1, 0, m, 7 in decreasing order.
7, 1, 0, m
Let q be 2 - -5 - (5 + -6). Suppose -4*s = -7*s + 15. Sort s, q, -3, -2 in ascending order.
-3, -2, s, q
Let l be 21/7 - (-38)/(-3). Let y = l - -10. Let g = -58 + 115/2. Put 5, 6, y, g in descending order.
6, 5, y, g
Let x = 728/45 - 82/5. Let l be 2/6 - (-10)/(-15). Put -1/8, l, x, 0.05 in decreasing order.
0.05, -1/8, x, l
Let u(t) be the first derivative of -t**4/2 + 29*t**3/3 - 13*t**2/2 - 8*t - 14. Let m be u(14). Sort 2, 12, m.
2, m, 12
Let n = 213 - 217. Let l be 2/4*2 + 2. Suppose 0 = 2*f - 10, 2*p - l*f + 4 = -1. Sort -2, p, n, 2 in descending order.
p, 2, -2, n
Let w = -227 - -227. Let c = 777.5 - 777. Put c, -1/7, w, -3 in increasing order.
-3, -1/7, w, c
Let i = 30899/1900 + -6/475. Let q = i - 79/4. Sort -2/13, q, -3/5 in increasing order.
q, -3/5, -2/13
Suppose 2*s + 14 = 4*b, 9*s - 6*s + 4*b - 29 = 0. Suppose 4*z = s*w - 3, -3*w = -4*z - 5*w + 22. Put 5, 9, z in increasing order.
z, 5, 9
Suppose -5*u - 12 = -2*s, 20 = 5*u - 0. Let g(t) = 2*t**2 - 30*t - 33. Let v be g(s). Let l = 17 + -17. Put l, v, 2, 5 in ascending order.
v, l, 2, 5
Let i = 151 - 150. Let d = -21 + 23. Suppose -2*j - 9 = j. Sort i, d, 0, j.
j, 0, i, d
Let w = 170 + -111. Let z = w + -58. Let i(l) = l - 7. Let c be i(7). Put c, z, 4 in decreasing order.
4, z, c
Let y = 32639.031 + -32603. Let a = 36 - y. Let f = -0.269 + a. Sort -4, f, -2 in increasing order.
-4, -2, f
Suppose 0 = -13*k - 67 + 2. Suppose 5*w = a + 16, -20 = 4*a - 8*a - w. Put -1, a, 5, k in ascending order.
k, -1, a, 5
Let d = 1575 - 1574.89. Sort d, 0.04, 5 in decreasing order.
5, d, 0.04
Let k = -18947 - -18946.8. Put k, 2, 0.17, 1/3, 20 in decreasing order.
20, 2, 1/3, 0.17, k
Suppose -h + 16 = 3*x + 54, -3*h = 5*x + 78. Let s = 1 - -1. Put s, 2/7, h in decreasing order.
s, 2/7, h
Suppose -47*k + 283 = 3*m - 51*k, -495 = -5*m + 2*k. Sort m, 0, -5 in decreasing order.
m, 0, -5
Let b(l) = l**2 - 4*l - 29. Let c be b(-4). Let g(o) = o**3 - 6*o**2 + 2*o - 7. Let n be g(6). Let i = -49 + 57. Put c, -5, i, n in increasing order.
-5, c, n, i
Let g be (3 - -2 - 12)/(-1). Suppose 5 = 6*a - g*a. Sort 2, a, -2 in descending order.
2, -2, a
Let n = 0.3 - 0.4. Let z be (0 - (-3)/(-45))/(203/609). Put n, z, -3, 0.3 in increasing order.
-3, z, n, 0.3
Let y be (1 - (1 + (-2)/6))/((-1602)/9612). Put -76, -22, y in descending order.
y, -22, -76
Suppose 2*m = 2*u - 120, -2*m = 3*u - u - 120. Let h be -3*(u/9 + -7). Sort h, -22/7, 0.4 in descending order.
h, 0.4, -22/7
Let d = - | {
"pile_set_name": "DM Mathematics"
} |
-391 - -393. Let d(n) = 2*n**m - 13*n**3 + 14*n**3 - 3*n - 3 + n**2 - n**2. Determine d(l).
3
Let r(s) = -7*s**2 - 21*s - 1. Let g be r(-3). Let l be 0/(g/1 + 2). Let p(d) = d**3 + d**2 + 2*d + 3. Calculate p(l).
3
Let w(c) = 5*c - 138. Let s(n) = -5. Let r(u) = s(u) - w(u). Give r(27).
-2
Let k(u) = 2*u - 12. Suppose 2528 = 27*x + 20267. Let v = -652 - x. Determine k(v).
-2
Let n(k) = k - 1. Let i(v) = -v**3 - 8*v**2 - 15*v - 8. Let g(o) = i(o) + n(o). Let x(r) = -r**3 - 3*r**2 + 42*r + 92. Let j be x(-7). Calculate g(j).
3
Let b(o) = -2*o + 16. Suppose 46*m = 14*m + 576. Calculate b(m).
-20
Let a be 1 + (-25)/(-5) - 2. Let w(l) = 4*l + 13. Let s(c) = -3*c - 13. Let p(y) = a*w(y) + 5*s(y). Let h be p(6). Let k(u) = -u**3 - 7*u**2 - u - 4. Give k(h).
3
Let k(f) = f**3 - 25*f**2 - 61*f + 33. Let c(x) = x**2 + 4*x + 1. Let o(i) = -3*c(i) - k(i). Give o(24).
-12
Suppose 0 = 12*a + 3*a - 75. Let j(h) = 4*h + a*h - h**2 - 6*h + 2*h + 7. Let g(l) = 2*l + 1. Let y be g(3). Give j(y).
-7
Let n(h) = -h**3 - 6*h**2 - 4*h - 8. Let d be ((-2002)/39)/((-2)/(-3)). Let y = d - -49. Let z = y - -22. Determine n(z).
16
Let g(x) = -3*x**2 + 13*x + 20. Suppose -2*c - 36 = -8*c. Let u(o) = 0 + 2*o**2 - 5 + 1 - c*o - 6. Let r(f) = 3*g(f) + 5*u(f). What is r(-7)?
-4
Let l(x) = -x**2 - 10*x + 24. Let k be 8/(-36) - (-1167)/27. Suppose -52*g + k*g = 108. Give l(g).
0
Let s(w) = -11*w + 45. Let n be 60/(-170) - (-3375)/459. What is s(n)?
-32
Suppose 147*y = 121*y + 130. Let m(k) = -8*k + 10. Determine m(y).
-30
Let u(h) = -4*h**2 - 206*h + 312. Let p be u(-53). Let r(t) = 13*t + 42. Calculate r(p).
-36
Let b be -2 + (4 - 2) - 5. Let g(x) = -8*x - 3. Let v(p) = -35*p - 14. Let t(y) = 9*g(y) - 2*v(y). What is t(b)?
11
Let u(r) be the first derivative of r**3/3 - 5*r**2/2 + 2*r - 1882. Let k = -2 - -1. Let i be (-11)/(-2) - k/(-2). What is u(i)?
2
Let t(c) be the second derivative of 0*c**2 - 2*c - 1/6*c**3 + 0 - 1/2*c**4. Let k be 14/91 - (-750)/(-650). What is t(k)?
-5
Suppose 3*d - 8 + 18 = -4*r, -4*d = 3*r + 4. Suppose 2*o - d*f - 10 = 0, -60*o - 3*f + 49 = -55*o. Let n(k) = -3*k + 12. Give n(o).
-12
Let p(n) = -2*n**3 - 7*n**2 - 2. Let w(m) = 3*m**3 + 22*m**2 + 127*m - 12. Let h(s) = -2*p(s) - w(s). What is h(-8)?
8
Let y(p) = p**2 - 8*p + 6. Let t = 243 + -166. Let q = t + -71. Determine y(q).
-6
Let x be 0/((-6)/15*-5). Let u(f) be the second derivative of -f**5/20 - f**4/12 + f**3/6 + 6*f**2 + 84*f. Calculate u(x).
12
Let k(z) = 2*z - 5*z + z + 36 - 31. Let a = -39 - -35. Determine k(a).
13
Suppose -2*f = 2*f - 16. Suppose f*v + 3 = -d - 0, -5*d = -5*v - 10. Let c(l) = 2*l - 1. Let u(s) = -16*s + 5. Let w(r) = 4*c(r) + u(r). Determine w(v).
9
Suppose 4*p = -0*y + y - 23, -5*y = -3*p - 30. Suppose f + 22 = 4*k, -2*k = -y*k - 5*f - 5. Let j(a) = 1 + 0 + 1 + a. What is j(k)?
7
Suppose 0 = 3*k - 57 + 36. Let r = k + -11. Let t(g) = 4*g - 2*g**2 + 69 + 3*g**2 - 73. Determine t(r).
-4
Let y(h) = -h**2 - 13*h - 33. Suppose 38*s - 13 + 49 + 344 = 0. What is y(s)?
-3
Let l = -93 - -117. Suppose -43*x + 37*x = -l. Suppose -3*m = 5*s + 12, 4*s + 16 = -x*m + 7*s. Let j(z) = z**3 + 3*z**2 - 3*z + 2. What is j(m)?
-2
Let k(x) = 10*x**2 + 34*x + 11. Let c(a) = -737*a + 377*a + 371*a + 3*a**2 + 4. Let t(g) = 7*c(g) - 2*k(g). Calculate t(-6).
-12
Let o be 8/10*(11 - 1). Suppose 18*l = 11*l + 14. Let r(k) = -10 + 9*k + 7*k**2 - 26*k**2 + 4*k**l + 14*k**2. What is r(o)?
-2
Let p(w) = 3*w - 9. Let t(s) = 2*s - 6. Let x be 1 + 4 + (-2 + 13)/(-1). Let r(k) = x*t(k) + 5*p(k). Calculate r(8).
15
Let s(l) = -l + 33. Let d be s(27). Let c(w) = -w**3 + 4*w**2 + 8. Let k(h) = -h**3 + 5*h**2 + 10. Let f(x) = d*c(x) - 5*k(x). Calculate f(0).
-2
Suppose 10*w - 224 = 3*w. Let g(v) = w*v - 2 + 3 - v**2 - 2 - 26*v. Calculate g(6).
-1
Let j(i) = 84*i - 69*i - i**2 + 3 - 8*i. Give j(6).
9
Let u(c) = 2*c + 2. Let o be ((-2)/(-6))/(-3 + (-236)/(-78)). Let r be 4/6 + (-533)/39 + o. Determine u(r).
2
Let m(i) be the first derivative of 4*i**3/3 + 27*i**2 - 32*i - 54. Calculate m(-14).
-4
Let b be (-2115)/18*(-8)/10. Let j = b - 93. Let n(u) = 10*u**3 + 3*u**3 - 2*u**3 - u. What is n(j)?
10
Let j = 10770 + -10772. Let f(n) = -2*n + 3. Calculate f(j).
7
Let j be (-440)/(-165) - 4/6. Suppose 5 - 4 = -s - 2*k, -k = -j*s - 27. Let w(b) = b + 17. Calculate w(s).
6
Let c be (2/3)/(1/((-1107)/(-18))). Let z be ((-1)/(-1))/(1/(-34)). Let m = z + c. Let n(s) = s**3 - 6*s**2 - 8*s + 6. What is n(m)?
-1
Let x = 4 + -1. Suppose j + 0*j - 1 = -2*z, -x*z - j = -3. Let n(g) = 111*g**z + 0*g + 2 - 112*g**2 + 7*g. Determine n(5).
12
Let k(n) = 61 - 56*n - 46*n + 135*n - 41*n. What is k(11)?
-27
Let u = -165 - -169. Let n(q) = -2*q + 12. Let j(x) = 1. Let w(l) = 10*j(l) - n(l). Determine w(u).
6
Let n(y) = 6*y**2 - y - 2. Let l(p) = 8*p**2 + 34*p - 82. Let m be l(-6). Give n(m).
20
Suppose 40*z - 18*z = -19*z. Let c(w) = -w**2 - 9. Give c(z).
-9
Let r(h) = 1 + 9 - 5 - 7 - 17*h - 3. Give r(-2).
29
Let x(z) be the first derivative of 17*z**2 + z + 1570. Give x(-1).
-33
Let v(b) = 48*b**2 + 4*b**3 - 45 + 20*b + 9 - 6*b**3 - 81*b**2 + 45*b**2. What is v(7)?
6
Let z(v) be the third derivative of 1/6*v**3 + 1/60*v**5 + 0*v + 0 - 106*v**2 + 1/2*v**4. Calculate z(-7).
-34
Let o(h) = -3*h**2 - 37*h - 219. Let x(n) = 4*n**2 + 40*n + 217. Let r(w) = 3*o(w) + 2*x(w). Determine r(-11).
-3
Let r be 6/2 - 5 - 1. Let z be (-10)/r*(-6)/5. Let t(x) = -x**3 + 30*x**2 + 7*x - 1. Let h(c) = 11*c**2 + c + 1. Let d(n) = 3*h(n) - t(n). Determine d(z).
4
Let i(r) = -3*r**2 + 88*r - 162*r + 1 + 78*r - r**3 - r**3. Suppose 2*t - 22 = 4*q, 14 = -q + 3*q + 4*t. Give i(q).
16
Let d(h) = 4*h - 392. Let w be d(101). Let s(p) = -3*p**2 + 37*p + 1. Determine s(w).
13
Let n(s) = -3*s**3 + 34*s**2 + 5*s + 11. Let m(h) = -7*h**3 + 79*h**2 + 10*h + 21. Let w(x) = -4*m(x) + 9*n(x). Determine w(8).
-73
Suppose v + 64 = 2*n + 62, -5*n - v + 33 = 0. Let l(x) = -11*x - 5. Calculate l(n).
-60
Let h(b) = -4*b + 4. Let o(j) = j**3 + 5*j**2 + 11*j + 12. Let i be o(-3). Let v be (2 + (-2 - i))/1. What is h(v)?
-8
Let h(g) be the second derivative of g**5/20 + g**4/4 - g**3/6 + 1204*g - 1. Determine h(-4).
-12
Let p(j) be the second derivative of 7*j**3/3 - 20*j**2 + 3*j - 3. Let k be p(3). Let x(w) = 2*w**3 - w**3 + 2*w - 3*w**2 + w**2. Calculate x(k).
4
Let s(y) = 4*y**3 - 32*y**2 + 37*y + 12. Let o(x) = -x**3 + 8*x**2 - 9*x - 3. Suppose -167 = 3*i + 55. Let t = i + 65. Let r(g) = t*o(g) - 2*s(g). What is r(7)?
3
Let o(q) be the third derivative of -19*q**4/24 + 15*q**3/2 + 208*q**2 + q. Determine o(3).
-12
Let f = 180 - 33. Let a(z) = -f*z**2 - 10 - 9 - 17*z + 301*z**2 - 155*z**2. Calculate a(-16).
-3
Let r(t) be the second derivative of -t**4/12 - t**3/6 + 7*t**2/2 - 23*t. Let u be -5 + 11 + (-18)/6. Calculate r(u).
-5
Let u(c) = 59*c**3 + 29*c**2 + 29*c + 206. Let n(z) = 15*z**3 + 2*z**2 + 4*z + 1. Let a(q) = 4*n(q) - u(q). Determine a(22).
-4
Suppose 14 = 5*w - o, -5*o = -4*w - 2*o + 20. Let g(s) = 8*s + 39*s**2 + 2 - 5 - 78*s**2 + 38*s**w. Determine g(10).
-23
Let d = -29 + 25. Let b(h) = -91*h**2 + 27*h**2 + 32*h**2 - 8 - 6*h + 31*h**2. Determine b(d).
0
Let s(g) = -g**3 - 3*g**2 + 149*g - 11. Let y(r) = r**2 + 30*r - 5. Let t(m) = s(m) - 5*y(m). What is t(-6)?
-52
Suppose 10 = 5*a - 5, -2*l - a + 31 = 0. Let d(k) = 3*k**2 - 43*k + 13. What is d(l)?
-1
Let m = -2076 + 2084. Let w(k) = k**3 - 8*k**2 - 4*k + 26. Calculate w(m).
-6
Let j(f) = 5 - 5 - 4 + 4971*f - 4972*f + 6. Suppose 4*p + 4 = -2*a - 2, 5*p = 5*a - 45. What is j(a)?
-3
Let q(a) = 2*a - 10*a**3 + 27*a - 45*a - 1 + 18*a. Suppose -3*b = -6*o + 2*o + 4, 5 = 5*o + b. Let v be -1 + (o - 3)*-1. What is q(v)?
-9
Suppose 26 = -3*f - 33*p + 28*p, p = -7. Let i(d) = -d**3 + 6*d**2 + 4. What is i(f)?
31
Let n(s) = s**2 - 5*s + 2. Let i be n(5). Let u(q) = -17 + 6*q**2 + 12 - q**3 + i*q - 5*q + 5*q. Suppose -3*m + 19 = 1. What is u(m)?
7
Suppose 4*g + 19*i - 13 = 18*i, 3*i = g - 26. Let c(j) = 5*j**2 - 13*j + 7. Give c(g).
67
Let k(t) = t + 2. Let b(j) = -2*j. Let r = -266 + 262. Let o(x) = r*k(x) - b(x). Determine o(-8).
8
Let x(n) = -19*n + 19*n - 4 + n**2. Let j be -30*(-3 + (-9)/4*-2). Let d be (4/(-10))/(6/j). Determine x(d).
5
Let y(s) = -s**2 - 17*s - 59. Let c(p) = p**3 + 21*p**2 - 491*p - 42. Let | {
"pile_set_name": "DM Mathematics"
} |
d p to the nearest 100000.
2200000
Suppose 1869*x = 1916*x + 2037074000. Round x to the nearest one hundred thousand.
-43300000
Let n(f) = -85*f**2 - 4*f**3 - 7*f - 4 + 39*f**2 + 44*f**2. Let m be n(-2). What is m rounded to the nearest integer?
34
Let p(k) = -k + 17. Let l be p(19). Let y be (-116)/(-30) - l/15. Suppose a - y*a = 3270. What is a rounded to the nearest one hundred?
-1100
Let j = 3.1503731 - 3.147. What is j rounded to four decimal places?
0.0034
Let j = 3588.8 + -4010. Let h = -517 - j. Round h to the nearest 10.
-100
Let v = 596 + -596.2065. Let m = v + 185.0065. Let p = m - 165. What is p rounded to 0 dps?
20
Let i = -981 + 1707. Let n = -785.6 + i. What is n rounded to the nearest ten?
-60
Let p = 36.7 + -36.849. Let s = 0.202 + p. Let w = s + 44.447. Round w to the nearest integer.
45
Let q = 224.11 + -1.41. What is q rounded to the nearest 100?
200
Let g = -73709.9888 + 73581. Let z = g + 129. What is z rounded to 3 decimal places?
0.011
Let n = 44.20241080625 + 0.19758988475. Let h = -44.4 + n. Round h to 7 decimal places.
0.0000007
Let f = -607.05 + 607.102806. Round f to four dps.
0.0528
Let p = 69 - 64. Suppose -p*n = 4*r - 653896, 2*r - 5*n = 61045 + 265873. Suppose -10*f = -r - 166531. What is f rounded to the nearest 10000?
30000
Let c = 12.64 - -46.46. Let r = -61 + c. Let o = -0.38 - r. Round o to 1 decimal place.
1.5
Let y = -533.945 - -535. Let r = -1.981 - y. What is r rounded to 1 decimal place?
-3
Let z = 3272 - 3271.999164. Round z to 4 dps.
0.0008
Let z = -660 - -197. Let l = -462.045 - z. Round l to 2 dps.
0.96
Let r = -1737989829 - -1737989766.99999655. Let l = r - -62. What is l rounded to 6 decimal places?
-0.000003
Let a = -971.17 + 971.1310092. Let j = 75 + -75.039. Let d = j - a. Round d to six decimal places.
-0.000009
Let l = -17.9212 - -0.0812. Let d = l + 8.75. Round d to the nearest integer.
-9
Let n = 27357.5404 - 27353. Let c = n + -4.64. What is c rounded to two dps?
-0.1
Let i = 18 - 0. Let z be i/(-4)*(-4)/2. Let p be (1 - z)*(6 + -837506). Round p to the nearest 1000000.
7000000
Let z(n) = -5*n**2 + 35*n - 50. Let i be z(-30). Let y be i/3*(-23250)/4. What is y rounded to the nearest 1000000?
11000000
Let c = -219.50141 + 219.5. What is c rounded to two dps?
0
Let m = -19877 - -19877.0000233. What is m rounded to three decimal places?
0
Let x = -111.088 - -0.088. Let j = -105.28171191 - 5.71825169. Let k = x - j. Round k to 6 dps.
-0.000036
Suppose -2498 = -0*r - 2*r. Let o(s) = -4*s - 117. Let w be o(-29). Let a be (0 - (w - r))*4*-106. What is a rounded to the nearest one million?
-1000000
Let u(h) = 9237*h**3 - 12*h**2 + 28*h + 75. Let k be u(-7). Round k to the nearest one hundred thousand.
-3200000
Let w = 141 + -87. Let i = 1885.9 + -1937. Let m = i + w. Round m to the nearest integer.
3
Let k = 204.082 + -177.89. What is k rounded to 1 decimal place?
26.2
Let w = 2427644 + 3430712. Let c = w + -59558356. Round c to the nearest one million.
-54000000
Let o = 0.77100134 + -0.8940016. Let m = -0.123 - o. Round m to 7 decimal places.
0.0000003
Let d = -3082 + 3081.86797. What is d rounded to 2 decimal places?
-0.13
Suppose -z = 5*l - 6809 + 37415, -24486 = 4*l + 2*z. Round l to the nearest one hundred.
-6100
Suppose d + 2 - 6 = 0, -2*j - 3*d + 12600022 = 0. Suppose -5*h + p = -j, 0 = -h + p - 5*p + 1259980. What is h rounded to the nearest one hundred thousand?
1300000
Let n = 106.82 + 8.18. Let o = n - 112.08. Round o to 1 dp.
2.9
Let t = -42 + -16. Let v = t - 5. Let q = 62.999967 + v. Round q to 5 decimal places.
-0.00003
Let p = 0.017 + 38.983. Let s = p + -18.5. Let n = 26 - s. Round n to zero dps.
6
Suppose 4*q + 5*n + 217006696 = 0, -4*n + 404919445 = -5*q + 133661116. Let l = q + 27411669. Round l to the nearest 1000000.
-27000000
Suppose 576 = -4*q + 6*q. Suppose z + 216 = -q. Let f be (6/4)/(-3 + (-1509)/z). Round f to the nearest ten.
-250
Let k = 22555.99999934052 + -22556. Round k to 7 dps.
-0.0000007
Let d = -2.262 + -0.198. Let a = -30.14 + 32.299. Let j = d + a. Round j to 1 dp.
-0.3
Let p = 104 + -104.0968. Let y = 25.402 - 25.3. Let d = p + y. What is d rounded to 3 dps?
0.005
Let g(f) = -7*f + 118. Let u be g(16). Suppose -3*s - 3*m - 145965 = 0, -2*s - 3*m = -u*m + 97285. Round s to the nearest ten thousand.
-50000
Let o = 3519 - 3532.375. What is o rounded to the nearest 10?
-10
Let f be (-30)/36 + 1 + 124593592/48. What is f rounded to the nearest ten thousand?
2600000
Let u = 699.52441 - 1152.52182. Let k = 453 + u. What is k rounded to 4 decimal places?
0.0026
Let w = -187.886926913 - -0.385753913. Let h = w + 187.5. Round h to four decimal places.
-0.0012
Let d = 4.81 - 5796.81. Let z = d - -5816.09. Round z to 0 decimal places.
24
Suppose -3*d = -g - 9*d - 6908, 3*g + d + 20673 = 0. What is g rounded to the nearest one thousand?
-7000
Let w = -8.2 + 5.3. Let j = -2.899944 - w. Round j to five decimal places.
0.00006
Let a = -4.3 - -4.74. Let i = -0.824 + a. What is i rounded to 2 dps?
-0.38
Let d = 6502 + -6362.1. Round d to the nearest 100.
100
Let y = -9580.023394 - -9580. What is y rounded to four dps?
-0.0234
Suppose 5*n = -4*d + 6750, -5*n = 3*d - 2928 - 3822. Let k be (n/6)/(-2 - 39994/(-20000)). Round k to the nearest one hundred thousand.
-800000
Let i = -513.135 + 0.135. Let w = 8274044.681319423 - 8274557.68132. Let n = i - w. What is n rounded to seven dps?
0.0000006
Let u = 105234 + -154515. Round u to the nearest 100.
-49300
Let r = 94 + -91. Suppose r*s = i - 5, -6*s + s = 15. Let a be (-1 + 5371)/(i/400*3). Round a to the nearest 10000.
-180000
Let a = 0.039452 + -0.0437753. What is a rounded to four decimal places?
-0.0043
Let z = 15 + 113. Let r = z - 128.00028. Round r to four dps.
-0.0003
Let n be (-13)/(-5) - 60/(-150). Suppose 0 = 3*o - 6, -6*u + n*o = -2*u + 31480006. What is u rounded to the nearest one hundred thousand?
-7900000
Let n = -239 - -594. Let q = 343.8 - n. Round q to the nearest integer.
-11
Let x = -14.003 + 0.003. Let w = -66 - x. Let p = w - -51.94. Round p to one decimal place.
-0.1
Let h = -273.746 + -0.254. Let b = -273.99834 - h. Round b to three dps.
0.002
Let c = -3884.769 + 5883.7805. Let i = -2013 + c. Let b = -14 - i. What is b rounded to 3 decimal places?
-0.012
Let r(j) = -3074999*j**2 - 3*j + 2. Let f(k) = -k**2 - 4 - 789*k + 2 + 785*k. Let z be f(-2). Let v be r(z). Round v to the nearest 1000000.
-12000000
Let f = 0.138 - -80.862. Let g = f - 80.9906. Round g to three dps.
0.009
Let i = -0.23869 - 0.04721. What is i rounded to two decimal places?
-0.29
Let s = 103 + -155. Let q = 56 + s. Suppose 0 = -q*d - 4*j + 180, -4*d + j - 3*j + 178 = 0. What is d rounded to the nearest 100?
0
Let n be ((-65)/(-15) - 4)/((-3)/36). Let v be (-1 - -17)/n - -1260004. What is v rounded to the nearest one hundred thousand?
1300000
Let o = 44 - 22. Let t = o + -79. Let m = 56.42 + t. Round m to one dp.
-0.6
Let d = 38.6132 - -0.4188. Round d to 1 dp.
39
Let m(v) = -5*v**2 - 291*v + 916. Let j be m(-149). What is j rounded to the nearest one thousand?
-67000
Let q = -35.85 + 0.85. Let d = -34.97 - q. Let n = d + -0.03005. Round n to five dps.
-0.00005
Let c = 2735.8074 - -4.2926. Round c to the nearest 10.
2740
Let v(y) = 482*y**2 + 2*y - 11. Let a be v(-4). Suppose 10647 = -2*u - 5*w + 2952, -2*u - a = 3*w. Let z = 2245 + u. What is z rounded to the nearest 1000?
-2000
Let o be 110*25338/(-9)*7/((-112)/24). Round o to the nearest ten thousand.
460000
Let j = -11397 + 11276.61. Let r = j - 12.41. Round r to the nearest ten.
-130
Let r = 15482.339 + -35.339. Let a = r + -15439.331. Let u = a + 0.031. Round u to the nearest integer.
8
Let f = -1959.1339 + 0.1339. Let w = -1959.03268 - f. Round w to three decimal places.
-0.033
Let n be (-48 + 49)*(-13)/(-1). Suppose -60*u + 176062000 = -n*u. What is u rounded to the nearest 100000?
3700000
Let n = -126105.9123 - -126114. Let z = n - 11.578. Let u = z - 0.0397. What is u rounded to 1 dp?
-3.5
Let g = 153.42 + -162.6. What is g rounded to one decimal place?
-9.2
Let z = -6.05076 - -0.06996. What is z rounded to one dp?
-6
Let n = 1750.30977 + -0.20977. Round n to the nearest one hundred.
1800
Let z = 527.15 + -521. Round z to the nearest integer.
6
Let v = -138 + 59. Let h = | {
"pile_set_name": "DM Mathematics"
} |
What is the second derivative of 11*o**3*w + 33*o**3 - 8*o**2*w - 2*o**2 - 3*o*w + 30391*w wrt o?
66*o*w + 198*o - 16*w - 4
What is the first derivative of 61*o**3 - 154*o - 306153?
183*o**2 - 154
Differentiate -53853*f**4 - 29882.
-215412*f**3
Find the third derivative of -196*s**6 + 16096*s**3 + 416*s**2 + 23*s + 4.
-23520*s**3 + 96576
Find the second derivative of -2006233*b**3 + b + 198872.
-12037398*b
Find the second derivative of 60*g*n**3 - 13*g*n**2 + 7*g*n + 253*g + 118*n**3 + 4*n - 1 wrt n.
360*g*n - 26*g + 708*n
Find the third derivative of 220*y**5 - 6*y**4 + 8*y**3 + 18173*y**2.
13200*y**2 - 144*y + 48
Differentiate 3*f**3*u - 2*f**2 + 8*f*u - 65*f - 54976*u wrt f.
9*f**2*u - 4*f + 8*u - 65
Differentiate -207137*c**2 + 258073 wrt c.
-414274*c
What is the third derivative of 380182*y**4 + 2*y**3 - 2436*y**2 - 3*y - 2?
9124368*y + 12
Find the second derivative of 204*j*q**3 + 2*j*q**2 + 4*j*q - 23*j - 10*q**3 + 235*q - 1 wrt q.
1224*j*q + 4*j - 60*q
What is the second derivative of 200880*a**3*x**2 + 9*a*x**2 + 2*a*x - 26*a - 61 wrt a?
1205280*a*x**2
Find the second derivative of -173667*l**3 - 18*l + 5538.
-1042002*l
Find the second derivative of 4*i**3 + 33782*i**2 + 11*i + 10959.
24*i + 67564
Differentiate -3*l**3*n*z - 2*l**3*n - 4*l**3 + 5720*l*n**2 + 6*l*z**2 + 323*n**2*z - n**2 with respect to z.
-3*l**3*n + 12*l*z + 323*n**2
Find the first derivative of -441210*p**3 - 554012.
-1323630*p**2
Find the third derivative of -28*s**4 - 1241*s**3 - 218*s**2 + 22*s - 12 wrt s.
-672*s - 7446
What is the third derivative of -1077911*o*u**3 - 172805*o - u**2 wrt u?
-6467466*o
Find the third derivative of 4075*x**4 + 12*x**3 + 16368*x**2.
97800*x + 72
Find the second derivative of 256*i*n*r**2 + 7*i*n - 2*i*r**2 + 136*n*r**2 - 4*n - 1229*r wrt r.
512*i*n - 4*i + 272*n
What is the first derivative of -237135*i - 120491?
-237135
What is the second derivative of 426316*l**2 + 438763*l wrt l?
852632
What is the third derivative of -21*d**4*r**2 - 2*d**4*r + 9615*d**3*r - 4*d**2*r - 1383*d**2 - 3*d*r**2 + r**2 wrt d?
-504*d*r**2 - 48*d*r + 57690*r
What is the third derivative of 18*c**2*w**4 + 110*c**2*w**3 - 16035*c**2*w**2 wrt w?
432*c**2*w + 660*c**2
Find the third derivative of 1824312*g**4 + g**3 + 2648355*g**2.
43783488*g + 6
What is the third derivative of 352228*o**4 + 767*o**2 + 57*o?
8453472*o
What is the second derivative of 170675*x**2 + 6789*x - 10?
341350
Find the second derivative of 4365*f**2*w**3 + 3*f**2 + 147*f*w - 2*w**3 - 27 wrt f.
8730*w**3 + 6
What is the first derivative of 3*a*m - 792636*a + 3*m**3 - 4861*m**2 - 2 wrt m?
3*a + 9*m**2 - 9722*m
Find the second derivative of 5959*h**3*n**2 + 5*h**3*n - 21*h**3 + 2*h**2*n**2 - 37*h*n**2 + 53*h + 2 wrt n.
11918*h**3 + 4*h**2 - 74*h
Find the first derivative of -995322*g**3 - 1155071 wrt g.
-2985966*g**2
Find the second derivative of -88415*w**2 + 109240*w.
-176830
What is the third derivative of -307409*m**3*n*o**3*w - 2*m**2*n*o*w - m*n*o**3*w + 4*m*n*o*w + n*o**3 - 23*n*o**2 + 102*w wrt m?
-1844454*n*o**3*w
Find the third derivative of -179*b**3*i**3 + 2006*b**3*i**2*y + 17*b**2*i**3 + 72*b**2*i*y + 8*b**2*y + 2*i**3*y - y wrt b.
-1074*i**3 + 12036*i**2*y
Find the second derivative of g**2*o**3 - 139*g**2*o**2 + 370*g**2*o + 2*g**2 - 94*g*o**3 + 5301*g wrt g.
2*o**3 - 278*o**2 + 740*o + 4
Differentiate -2053*h**2 - 106*h + 24154 wrt h.
-4106*h - 106
Find the first derivative of 150*a**4 - 36*a**2*c**3 + 44209*c**3 wrt a.
600*a**3 - 72*a*c**3
Find the second derivative of 1191321*w**5 - 627806*w.
23826420*w**3
What is the first derivative of -4*p**2 - 11797*p + 183351?
-8*p - 11797
Find the first derivative of -335218*y**2 + 754719.
-670436*y
What is the derivative of -333*d**2*q - 1932303*d**2 - 1149*q wrt q?
-333*d**2 - 1149
What is the first derivative of 3*c**3*m*z**2 + 2*c**3 + 72850*c**2*m*z - 1831*c**2*m - c*m - 2*c wrt z?
6*c**3*m*z + 72850*c**2*m
What is the second derivative of 5*v**3 + 145871*v**2 + 6306869*v wrt v?
30*v + 291742
What is the first derivative of 4649*i**2*m + i**2 + 9*i*m + 29*i - 11 wrt m?
4649*i**2 + 9*i
Find the second derivative of 70847*n**2*t - 12*n*t + 290*t - 27 wrt n.
141694*t
What is the first derivative of 3*j*m**3 - j*m - 13*j*t - 3*j + 9*m**2*t - 11*m*t + t - 1 wrt m?
9*j*m**2 - j + 18*m*t - 11*t
Differentiate -54217*h**2*l**2 + 81*h**2 + 2*h*l**4 - 741 with respect to l.
-108434*h**2*l + 8*h*l**3
Find the second derivative of 66*m**3*s**4 + 67*m**3 - 2072*m*s**5 - 7*m*s - 295*s wrt s.
792*m**3*s**2 - 41440*m*s**3
Differentiate -d**2*o - 418*d**2 - 2*d*o + 86*d + 2*o - 2825242 wrt d.
-2*d*o - 836*d - 2*o + 86
What is the derivative of 1397*j**3 + 175*j + 3462399 wrt j?
4191*j**2 + 175
Find the third derivative of -72*l**6 - 41*l**5 - 5*l**3 + 7797*l**2 wrt l.
-8640*l**3 - 2460*l**2 - 30
What is the second derivative of -705512*s**2 - 4*s + 42214 wrt s?
-1411024
What is the third derivative of -185189*s**3 + 258*s**2 + 39?
-1111134
Find the second derivative of 123*f**5 - 71*f**3 - 3*f**2 - 4*f - 8959 wrt f.
2460*f**3 - 426*f - 6
What is the second derivative of 304266*d**4 + 2*d**3 + 1161855*d wrt d?
3651192*d**2 + 12*d
Find the first derivative of -7277*l**4 - 4*l - 196135 wrt l.
-29108*l**3 - 4
What is the first derivative of -1751*a**3*q - 12*a**2*q**2 + q**2 + 383*q - 12 wrt a?
-5253*a**2*q - 24*a*q**2
What is the second derivative of 5366*d**4 + 3*d**3 + 6*d**2 - 196645*d wrt d?
64392*d**2 + 18*d + 12
Find the third derivative of i**5 + 2*i**4 + 49394*i**3 + 4*i**2 + 25107 wrt i.
60*i**2 + 48*i + 296364
Differentiate 478*c*p**2 + 193*c*w + 2*p**2*w + 99*p**2 + 246*p*w**2 + w with respect to w.
193*c + 2*p**2 + 492*p*w + 1
Find the second derivative of -38265*i**2*q + 3*i**2 - 11974*i + 11*q wrt i.
-76530*q + 6
What is the second derivative of 2*g**4 + 285234*g**3 - 2*g**2 + 63252*g - 9?
24*g**2 + 1711404*g - 4
What is the third derivative of -9309*i**3*z**2 + i**3*z + 3*i**3 - 7*i**2*z**2 - 13*i**2 - 177*i + 3*z wrt i?
-55854*z**2 + 6*z + 18
What is the first derivative of 7656*z + 224340?
7656
Find the second derivative of 3*t**4 - 385358*t**3 - 1510223*t.
36*t**2 - 2312148*t
What is the second derivative of -27393*b*i**3 - 2*b*i - 3*b - i**3 - 316*i - 18 wrt i?
-164358*b*i - 6*i
Find the second derivative of -9*t**2*y**2 + 2*t**2*y + 3503*t*y**3 + 2*t*y + 513381*y wrt y.
-18*t**2 + 21018*t*y
Differentiate 457218*f**3*m**4 - 3*f**3*m + 18679*f**3 + 15 with respect to m.
1828872*f**3*m**3 - 3*f**3
What is the second derivative of 71804*o**2 - 287*o + 58 wrt o?
143608
Find the third derivative of 202*u**5 - 28*u**4 - 56*u**2 + 303*u + 1.
12120*u**2 - 672*u
Find the second derivative of -102092*v**4 - 620160*v + 3 wrt v.
-1225104*v**2
What is the second derivative of -158769*u**2 + 160786*u?
-317538
What is the second derivative of -199788*d**3 + 8570*d - 11?
-1198728*d
Find the third derivative of -170*g**5 + 3*g**4 - 8*g**3 + 403950*g**2.
-10200*g**2 + 72*g - 48
What is the first derivative of 7*s**3 + 1379*s + 11239?
21*s**2 + 1379
Differentiate -b**3*o**3 + 22600*b**3*o**2 + 6*o**3 + 1575*o**2 + 1 wrt b.
-3*b**2*o**3 + 67800*b**2*o**2
What is the first derivative of b*d**2*p - b*d*p - 31*b*d + d**2*p - 310*d**2 + 931*d*p wrt p?
b*d**2 - b*d + d**2 + 931*d
Find the third derivative of 33*b**2*g**3 + 188*b**2*j**3 + 11*b**2*j - 1610*b*g**3*j**3 - 19*b*g**2*j**2 - b*g**2*j + 2*g**3*j wrt g.
198*b**2 - 9660*b*j**3 + 12*j
Find the second derivative of -63052*i**2 + 2*i + 3159 wrt i.
-126104
Differentiate 478259*s**2 - 810876 with respect to s.
956518*s
Find the third derivative of 89306*y**4 - 450458*y**2 wrt y.
2143344*y
Find the third derivative of -19995*c**5 - 25400*c**2.
-1199700*c**2
Find the third derivative of -4002*h**3*o**3 - 12329*h**3 - 5*h**2*o**6 - h**2*o**2 - h*o**2 wrt o.
-24012*h**3 - 600*h**2*o**3
What is the second derivative of -2259881*o*t**2 + 2*o*t - 9*o + 254*t - 4 wrt t?
-4519762*o
Find the third derivative of 8627*c**5 + c**3 - 48590*c**2 + c.
517620*c**2 + 6
What is the first derivative of -416501*y + 143833 wrt y?
-416501
Differentiate -134256*r**4 + 116812.
-537024*r**3
Differentiate -52*b*f*t**3 + 2662*b*f*t**2 + 920203*b*t**3 - b*t wrt f.
-52*b*t**3 + 2662*b*t**2
What is the derivative of -34247 | {
"pile_set_name": "DM Mathematics"
} |
+ (1 - -3)). Calculate the highest common divisor of p and 7.
7
Suppose 32 = -6*j + 44. Suppose -3 = j*b - 27. Calculate the highest common divisor of b and 12.
12
Let q(r) = -32*r**3 - r**2 - r. Let l be q(-1). Suppose -4*k - 3*i = -26, 4*k + 2*i = -27 + 55. Calculate the highest common factor of k and l.
8
Let k(n) = -n**3 + 33*n**2 - 56*n - 116. Let u be k(31). What is the greatest common factor of 98 and u?
14
Let f be 0/1*(29 + -30). Suppose -16*l = -f*l - 96. Calculate the greatest common divisor of 6 and l.
6
Suppose 1970 - 6590 = -70*b. Calculate the greatest common divisor of b and 78.
6
Let y be -10 + 10 + (12 - 0). Calculate the highest common divisor of y and 3.
3
Suppose 2*x + f = 5*x - 420, -5*f = -4*x + 560. Suppose x = t + t. What is the greatest common factor of t and 28?
14
Suppose -2*f + 3 = 11. Let q be 0 + f*1/(-2). Suppose j = q*j - 65. Calculate the highest common divisor of 26 and j.
13
Suppose -p - 2*k + 0 + 9 = 0, 2*p = k + 3. Let w be ((-14)/p)/(2/(-6)). What is the greatest common divisor of 126 and w?
14
Let i(s) = s**2 + 28*s - 428. Let c be i(-39). Let x be (-10)/(-3) + (-1)/3. Let p = x - 1. Calculate the highest common factor of c and p.
1
Suppose -2*r + 3*i - 8 = -58, -104 = -5*r - 3*i. What is the highest common factor of r and 154?
22
Let y = -19 + 29. What is the greatest common factor of y and 65?
5
Suppose 8 = -4*r + y, 0 = -r - 3*r - 2*y + 4. Let g be (r - -7)/((-6)/(-20)). What is the highest common divisor of g and 80?
20
Let b = -130 - -154. Calculate the greatest common divisor of 108 and b.
12
Suppose -2*h + h = 0. Suppose -c + 16 - 6 = h. Let x be 120/((-1568)/(-96) - 15). What is the highest common divisor of x and c?
10
Let z = -228 + 143. Let g = 220 + z. Let a = 28 + -13. Calculate the greatest common divisor of a and g.
15
Let v(k) = 63*k**3 - 3*k**2 + 4*k. Let f be v(1). Calculate the greatest common divisor of f and 40.
8
Let i = -2395 + 2409. Calculate the highest common factor of i and 3962.
14
Let r be (-2)/(-19) - 29/(5510/(-18980)). Calculate the greatest common factor of 310 and r.
10
Suppose 71 = s + 11. Calculate the greatest common divisor of 15 and s.
15
Let b = 1449 + -1314. What is the highest common divisor of b and 27?
27
Let z be -109 + 9/(-9)*(-6)/(-2). Let k = -56 - z. Calculate the greatest common factor of 280 and k.
56
Suppose -28*x = -32*x + 200. What is the greatest common factor of 15 and x?
5
Let w(y) = 9*y - 9. Let r(x) = -8*x + 10. Let t(j) = 4*r(j) + 3*w(j). Let n be t(4). Let l = n + 15. Calculate the greatest common factor of l and 16.
8
Let o(s) = -s**3 + 9*s**2 + 14*s - 22. Let t be 10/(-1 + 6 - 4). Let p be o(t). Calculate the greatest common divisor of p and 54.
18
Suppose 0 = 3*p - 8*p + 55. Let a = p - 9. Suppose 2*x + 58 = a*b - 174, 3*b - 345 = 4*x. What is the greatest common divisor of b and 17?
17
Suppose 3*i - 273 - 21 = 0. What is the highest common factor of i and 147?
49
Let g = -16 + 21. Suppose 0 = -3*k + p + 3, -k + 3 - 2 = -g*p. Let m be 1 - k - (1 - 26). What is the greatest common factor of 5 and m?
5
Suppose -4*g = g - 10. Let w = 51 + -33. Suppose -6*n - w = -7*n. What is the highest common divisor of n and g?
2
Let q(o) = -o**2 + 21*o - 65. Let a be q(15). Let x = 4 + -2. Suppose x*j - 50 = -0*j. Calculate the greatest common divisor of j and a.
25
Suppose 2*o = -3*p + 152, p + 4*o = 49 + 15. Let s = p - -95. What is the highest common divisor of s and 13?
13
Let t(o) = o**3 - 9*o**2 + 16*o + 4. Let s be t(7). Calculate the greatest common factor of s and 162.
18
Let t be 4/(-4)*(-10 + -229) + -8. What is the greatest common factor of t and 770?
77
Suppose 3*k = -0*k + 36. Let v = 9 + -5. Suppose -v*m = -0*m - 384. What is the greatest common divisor of m and k?
12
Suppose 48 = -0*q + 2*q. Suppose 6*t + 0*t - 168 = 0. Let s = q + t. Calculate the highest common factor of 13 and s.
13
Let q be 3 - ((-13930)/16 - 30/80). What is the greatest common divisor of q and 38?
38
Suppose 4*b = 4*m - 11316, -23*b + 25*b = 0. What is the highest common factor of m and 69?
69
Let o = -329 + 336. Calculate the greatest common factor of 203 and o.
7
Let s = -246 + 408. Calculate the greatest common factor of s and 72.
18
Let h(d) = d**2 - 10*d - 13. Let i be h(12). Let y be i*-6*(-24)/(-18). Let c = y + 128. What is the greatest common factor of c and 10?
10
Let a(n) = 93*n + 32. Let l be a(11). Suppose -13 + 249 = r + 4*t, -5*r + 5*t = -l. Calculate the greatest common divisor of r and 27.
27
Suppose -17*p + 7788 = -5115. Calculate the highest common factor of p and 69.
69
Suppose -52*c = -4*c - 432. Calculate the highest common factor of 9 and c.
9
Let i(h) = 3*h**3 - 15*h**2 - 9*h + 28. Let s be i(6). Calculate the greatest common factor of s and 287.
41
Let n = -42 + 44. Suppose 7*l = n*l + 100. What is the highest common divisor of l and 50?
10
Suppose -4*p - 8 = 0, 0 = -4*g - 15*p + 13*p + 112. What is the highest common factor of g and 203?
29
Let y be (-1054)/93*2*3. Suppose 3*z - 156 = 3*g - 2*z, -5*g + 3*z = 244. Let m = g - y. What is the highest common divisor of m and 7?
7
Let w = -512 + 576. What is the highest common divisor of 208 and w?
16
Suppose -4*s = 2*g - 304, -528*s = -3*g - 531*s + 453. Calculate the highest common factor of 800 and g.
50
Let c(r) = r**2 - 14*r - 59. Let a be c(29). What is the highest common factor of 8 and a?
8
Suppose -3*k + 54 = 5*o, -o + 2*k - 51 = -6*o. What is the greatest common divisor of o and 207?
9
Let i(j) = j**2 - 18*j - 86. Let s be i(-4). What is the highest common factor of 21 and s?
1
Let p(d) = 3*d + 15. Let l be p(-4). Suppose v + 2 = -l*o, 6 + 6 = -3*o. Calculate the greatest common divisor of v and 25.
5
Let x(h) = -28*h - 98. Let n be x(-4). Calculate the highest common factor of 35 and n.
7
Let b = -1234 + 1255. Let n = 21 - 7. Calculate the greatest common factor of n and b.
7
Let b(k) = -k**2 - 7*k + 21. Let d be b(-13). Let u = d - -157. What is the highest common divisor of u and 40?
20
Let b(u) = u**2 + u - 2. Let h be b(-5). Let d = -18 + h. Suppose -4*g - 148 = -4*l, g + 197 = 5*l - d*g. Calculate the greatest common factor of 10 and l.
10
Let b(z) = -z**3 - 8*z**2 - 12*z + 2. Let w be b(-6). Calculate the greatest common divisor of w and 48.
2
Let n be (-6)/(-24) + (-7)/(-4). Let k = n + 11. What is the highest common divisor of k and 91?
13
Let c(m) = 3*m - 12. Let k(v) = -4*v + 12. Let x(a) = -5*c(a) - 4*k(a). Let b be x(-4). Calculate the highest common factor of 8 and b.
8
Let x be 18/207 - 1422/(-46). Calculate the highest common divisor of 1 and x.
1
Let b be (5/2)/(985/4728). Suppose -5*j + 54 = 2*a - 4*a, 0 = 3*a - 9. Calculate the highest common factor of j and b.
12
Let b be (101 - (-4)/((-4)/7)) + 2. Calculate the greatest common divisor of b and 160.
32
Let i(s) = s**3 + 5*s**2 - 11*s - 13. Let c be i(-6). Suppose 12*d - c = -5. Calculate the highest common divisor of d and 1.
1
Let o(l) = -l**3 + 5*l**2 - l - 3. Let q be o(4). Let n(p) = 4*p + 19. Let s = 18 + 2. Let y be n(s). What is the highest common factor of q and y?
9
Let w(g) = -6*g - 2. Let r be w(-3). Suppose -133 = -46*o + 51. Calculate the highest common factor of r and o.
4
Suppose -397*r + 402*r = 4800. Calculate the highest common divisor of 60 and r.
60
Suppose -3*g - 6 + 18 = 0. Let c be 6/g*(-80)/(-12). Let w(k) = k**2 + 4*k - 17. Let m be w(4). Calculate the greatest common divisor of m and c.
5
Suppose 243*r - 246*r = -48. Calculate the greatest common factor of 408 and r.
8
Let l(t) = -t**2 + 14*t - 9. Let m be l(13). Suppose 0*j = -j + c - 14, m*c - 20 = 0. Let w be 104/18 - 2/j. Calculate the highest common factor of w and 9.
3
Let x = -1300 - -1324. Calculate the highest common divisor of 1944 and x.
24
Let f(s) = s + 2. Let l(u) = -u. Let r(p) = f(p) + 6*l(p). Let z be r(-2). What is the highest common divisor of z and 18?
6
Suppose -2*f = -2*r - 46, -3*r - 111 = -7*f + 2*f. Let t = -30 - -51. What is the highest common divisor of f and t?
21
Suppose 2*p - 24 = -v, 2*v - 36 = -4*p + 3*v. Suppose -13*s + 48 = -p*s. Calculate the greatest common factor of s and 80.
16
Let q = 330 - 314. What is the greatest common factor of q and 68?
4
Suppose 2*z = 28 - 22. Let k(y) = -y + 9. Let p be k(7). | {
"pile_set_name": "DM Mathematics"
} |
e -709*m + 709*m + 197*m**2 to the form s*m + y*m**2 + i and give y.
197
Rearrange 4 + 2*p + 6 + 1 - 8 to the form k*p + r and give k.
2
Rearrange 13*s + 4*s - 6*s to the form q*s + h and give q.
11
Express 7 + l**3 - 6 + 4*l**2 - 2*l**3 as q*l + d*l**3 + w + b*l**2 and give d.
-1
Express -40*m - 1 + 40*m + 2*m**2 in the form c + a*m + o*m**2 and give c.
-1
Express 2 - 3*b**2 + 5 + 10*b**3 - 12*b**3 as w*b**2 + f*b**3 + u + x*b and give w.
-3
Express ((d + d + 2*d)*(-2 + 2 - 1) - 2 - 2*d + 2 - 4*d - d - d)*(-2*d**2 - 3*d + 3*d) in the form o*d + j + u*d**3 + l*d**2 and give u.
24
Rearrange 3 - 2*j - j**4 - j**3 - 62*j**2 + 62*j**2 to the form u*j**3 + f + q*j**2 + h*j + l*j**4 and give u.
-1
Rearrange -12*x**3 + x + 0 - 2*x**3 - 2 + 8*x**3 to t + h*x**3 + k*x + o*x**2 and give t.
-2
Express -20*t**3 + 0*t - 10*t**2 + 22*t**3 + 0*t as o + u*t**3 + l*t**2 + b*t and give o.
0
Rearrange -3*g**4 - 4*g + 5*g - 3*g + 4*g**2 + 0*g**2 to f*g**3 + p*g + i*g**2 + s + l*g**4 and give l.
-3
Express (5*x**2 - 1 - 1 + x**2)*(10*x - 2*x + 7*x) as k + z*x**3 + s*x**2 + q*x and give z.
90
Rearrange 2*b - 1157*b**2 - 2 + 1157*b**2 + 4 - b**3 to z*b + q*b**2 + u + o*b**3 and give z.
2
Express (2*p + 2*p - 2*p)*(62 + 6 - 14) as z*p + l and give l.
0
Rearrange (4*h - 2*h - h)*(h + 4*h - 6*h) + 21*h**2 + 10*h**2 + 18*h**2 to i*h**2 + x*h + m and give i.
48
Rearrange (-12 + 12 + 16*i)*(-3*i - i**2 + 3*i) to j*i**3 + l*i + h*i**2 + x and give h.
0
Express (3*o**3 + 2*o**3 - 2*o**3)*(-6 + 4 + 4) - 13 + 13 - 3*o + 3*o**2 - o**3 as i + l*o**2 + c*o + m*o**3 and give l.
3
Rearrange (0 + 1 + 1)*(5*a - 4*a + 3*a)*(-3*a - 1 + 1) to the form y*a**2 + m*a + b and give y.
-24
Rearrange (2*t + 0*t - 3*t)*(-3*t - 10*t + 5*t) + 2 - 2 + t**2 - 2*t**2 + 0 + 0 to the form n*t + p*t**2 + m and give p.
7
Express (3 + 1 + 3)*(-5*u + 2 + 7*u - 5) in the form z + x*u and give x.
14
Rearrange 1 - 1 + 2*a + (-3*a + 4*a + a)*(-2 + 5 - 2) + 8*a + 9*a - 25*a to the form u*a + w and give u.
-4
Express (4*w**3 - 3*w**3 + w**3)*(250 + 20*w - 250 + (-5*w + 3*w + 3*w)*(4 - 2 + 0)) in the form i*w**2 + u*w + k + m*w**4 + a*w**3 and give m.
44
Express 5*g**2 + 128*g**3 - 1 - 2*g**4 - 261*g**3 + 131*g**3 as w*g**3 + k*g + n + j*g**2 + l*g**4 and give n.
-1
Rearrange d**3 - 2*d**4 + 2*d + 4 - 2*d**2 - 4 to the form g*d**4 + f*d + p*d**3 + y*d**2 + w and give f.
2
Rearrange 57 - 3*k - 5*k**2 - 57 to x*k + c + z*k**2 and give x.
-3
Express -3*l + l**3 - l**4 + 0*l + l**2 + l as k*l**4 + w + m*l**3 + x*l**2 + q*l and give m.
1
Rearrange ((4*j - 4*j - j**2)*(-4*j + 6*j + 0*j) - 4*j**3 - j**3 + 2*j**3)*(2 + 4*j - 3*j - 4) to the form s*j**2 + x*j**3 + y + n*j**4 + o*j and give s.
0
Express (-12*p - p - 3*p)*(-1 + 2 - 2) as y + j*p and give y.
0
Express (-6*z + 3*z + 0*z)*((-5*z - 8 + 8)*(1 - 1 + 4) - 2 + 2 - 2*z) in the form c*z + m*z**2 + b and give m.
66
Express ((0*q + 2*q - 4*q)*(-3 + 7 + 0) + q + q + 0*q)*(-4*q + 7*q + 2*q) as u + v*q**2 + p*q and give v.
-30
Rearrange 3 - h**3 - 4*h**2 + 3 + 3*h**2 + 2 to j + b*h + i*h**3 + k*h**2 and give j.
8
Rearrange k**4 + 2*k**4 - 2*k**2 - 4*k**4 - k**3 + 2*k**3 + k to r*k**2 + f + j*k**3 + w*k**4 + y*k and give y.
1
Express b**3 - 4 + 4 + (-b**2 - 1 + 1)*(-b + 4*b - 2*b) + 0*b**3 + b**3 - 2*b**3 - 7*b**3 + 7*b**3 + 45*b**3 in the form u*b + g*b**3 + m*b**2 + x and give g.
44
Rearrange -2 + 3*b**2 + 12 - 10 to n + p*b**2 + m*b and give p.
3
Express (-10*f + 4*f + 20 + f)*(-2*f + 3*f - 3*f) as q*f**2 + b + k*f and give q.
10
Rearrange -2*k + 3*k - 4*k to c*k + h and give c.
-3
Rearrange (p - p - p**2)*(-p - 11*p - 29*p) to y*p**3 + g*p**2 + m + b*p and give y.
41
Rearrange (2 + 3 - 1)*(j**4 + 2*j**4 - 8*j**4) to v*j + x*j**2 + y + n*j**4 + h*j**3 and give n.
-20
Express q**3 - 106 - 3*q**3 + 99 - 3*q**2 in the form t + f*q**2 + a*q + h*q**3 and give h.
-2
Express -37*n - 5*n - 45*n + 2 + 19*n in the form u*n + g and give g.
2
Rearrange (-1 + 1 + 3*l**2)*(-8 + 2 - 1) + 0*l**2 + 5*l**2 - 3*l**2 to the form m*l**2 + b*l + k and give m.
-19
Express (-6 + 2 + 2)*(3*m - 5*m + 3*m + (-1 - 5 + 1)*(2 - 2 + 2*m)) as v + i*m and give i.
18
Express 17*c - 35*c - 28*c + 2*c in the form k*c + q and give k.
-44
Rearrange (1 + 2 - 1)*(2*r - r**2 - 2*r)*(2*r - r + 13*r) to u*r**3 + f*r + i + v*r**2 and give u.
-28
Rearrange -l**2 + 3*l**3 + 2 - 3 - l**3 - l**2 to x*l + k + c*l**2 + z*l**3 and give c.
-2
Rearrange 5*o**2 - 2*o**2 - 4*o**2 + (0 + 2 + 0)*(-6*o**2 - 9*o**2 + 4*o**2) to the form y*o**2 + g + l*o and give y.
-23
Express 30*n - 10*n + 21*n + 18*n as m + l*n and give l.
59
Rearrange 27 + v**3 + 2*v - 2*v**4 - 27 - 2*v**2 to the form n*v**3 + z*v**4 + x*v + j*v**2 + s and give z.
-2
Rearrange (-3*n + 2*n - n)*(-4 - 1 + 4) + 20 - 13 + 23 - n to x*n + r and give r.
30
Express 45*c**2 + 5 + 2*c - 19*c**2 - 2*c**3 - 23*c**2 as r*c + j + w*c**2 + p*c**3 and give w.
3
Express 5*k - 2*k**3 - 5*k + k**2 - k**3 - k**2 + (-k + 0*k + 3*k)*(-k + k + k**2) - 28 + 17 + 9 + 9*k**3 as x + c*k**2 + w*k**3 + q*k and give q.
0
Rearrange -5*c**3 + 4*c**3 + 9*c**4 - c**2 - 1 + 3 - 7*c**4 to the form w*c + s*c**2 + n + d*c**4 + v*c**3 and give n.
2
Rearrange 3*t**2 + t**4 + 0*t - t**3 - 2*t - 5*t**2 + 2*t**3 + 7 to a*t**4 + n*t**2 + b*t + u + q*t**3 and give n.
-2
Rearrange (-4*d + 6 - 6)*(-3*d - d + 5*d)*(-3 + 3 - 3*d**2) to i*d + j + b*d**4 + z*d**3 + u*d**2 and give b.
12
Express -4 - 8 + 3*t**2 + 18 - 8 as j*t + x + a*t**2 and give a.
3
Rearrange 2 + j - j**2 + 2*j**4 - 12*j + 0*j**4 - j**2 to the form l*j**4 + q + u*j + h*j**3 + n*j**2 and give n.
-2
Rearrange -3*z**2 - 2*z**3 + 3*z**2 + 3*z**2 to the form r*z**2 + p*z**3 + j*z + i and give p.
-2
Express -s**2 - 4 + 4 + (2*s**2 - 2*s**2 + s**2)*(-2 + 2 - 1) + 4 - 4 - 12*s**2 + 2*s**2 - 2*s**2 + s**2 in the form u + d*s**2 + c*s and give d.
-13
Express -3 + 0 + 11 - 5*d**2 - 3 as f*d**2 + k + m*d and give f.
-5
Express -4*b + 3*b + 5*b + 2*b in the form p + r*b and give r.
6
Express -6*l + 9*l - 16*l - 21*l as y + a*l and give a.
-34
Rearrange -332 + 2*x + 333 - x**4 + 4*x**4 - 6*x**3 to the form q*x + d*x**2 + m*x**3 + j + p*x**4 and give j.
1
Rearrange (123 + 3*q + 111 - 247)*(3*q**3 - q**3 + 0*q**3) to h*q**4 + b*q**3 + f*q**2 + w*q + s and give b.
-26
Express -d + 4*d - 2*d + (12 - 4 - 26)*(1 + d - 1) as n*d + m and give n.
-17
Express (3 - 2 + 1 + 0 - 1 + 2 + (3 + 3 - 4)*(3 - 1 - 3) + 2 + 0 + 0 - 7 + 1 + 2)*(2 - 4*l + 5*l + 4*l) in the form d*l + p and give p.
-2
Rearrange -3*y**3 - 330*y + 2 + 330*y - 2*y**3 - 14*y**2 to the form b*y**3 + v*y**2 + k + h*y and give b.
-5
Express 141 - 141 - 26*k in the form x + i*k and give i.
-26
Rearrange (3 - 1 - 5)*(45 - 45 + 21*t) to g + q*t and give q.
-63
Rearrange -58*m - 16*m + 19*m to the form w + c*m and give c.
-55
Rearrange 0*l**2 + l**2 - 2*l**2 + (0*l - l + 0*l)*(-2*l - 4*l + 4*l) - 3*l + 37*l**2 + 0*l**2 + 4*l + l**2 + 0*l**2 - 2*l**2 to z + w*l + q*l**2 and give q.
37
Rearrange -1440*x**2 - 2*x**4 + 1436*x**2 + 2*x**4 - 4*x**4 + x**3 to the form f*x**3 + c*x**2 + d + k*x + l*x**4 and give c.
-4
Rearrange (-2 - 5 + 3)*(-5 + 5 + q) - 2 + 2*q + 2 to b + i*q and give i.
-2
Express 279*v - 4*v**2 - 279*v in the form s*v + f*v**2 + h and give f.
-4
Rearrange -4*t + 4*t**4 + 30*t**2 - 3*t**4 + t**3 - 30*t**2 to m*t + y*t**4 + h*t**2 + g*t**3 + b and give m.
-4
Rearrange 3*z + 4*z + 2*z - 4*z to the form r*z + v and give r.
5
Express (-3 + 1 + 5)*(-3*q**2 + 7*q**2 + 5*q**2) as a + m*q + y*q**2 and give y.
27
Express -3*g**2 + 4 + 4 + 8*g**2 in the form o*g + b*g**2 + v and give b.
5
Rearrange 3*i**4 - 3*i**3 - 4*i**4 - 3*i**2 - i**3 - i + 3*i**4 to the form y*i**2 + l*i**3 + u + v*i + r*i**4 and give v.
-1
Rearrange (0*w + 109*w + 36*w)*(-3 + 2*w + 3) to d*w + b*w**2 + j and give b.
290
Express 2 - 2 + 22*x - 4*x in the form q*x + g and give q.
18
Express p - p - p**2 - p**2 - p**2 + p**2 + (3*p + 0*p - p)*(4*p - 4*p - p) - 87*p - 13*p**2 + 87*p in the form l + z*p + j*p**2 and give j.
-17
Express w - w - 13*w + 0*w**2 - w**2 + w**4 + w**3 as o*w**4 + v*w**2 + k*w + m*w**3 + f and give o.
1
Express 94*t**4 + 4*t**4 - 6*t**4 + (-3 - 1 + 2)*(0*t**4 + 3*t**4 - 6*t**4) in the form c*t + m + u*t**4 + l*t**2 + a*t**3 and give u.
98
Rearrange 17*n - 29*n + 224*n to o + x*n and give x.
212
Expre | {
"pile_set_name": "DM Mathematics"
} |
**2 - o + 1
What is the q'th term of -7172, -7292, -7412, -7532?
-120*q - 7052
What is the h'th term of -257698, -515395, -773092, -1030789, -1288486, -1546183?
-257697*h - 1
What is the u'th term of -59985, -119969, -179953, -239937, -299921?
-59984*u - 1
What is the d'th term of -109, -182, -263, -358, -473, -614, -787?
-d**3 + 2*d**2 - 72*d - 38
What is the j'th term of 18, 182, 638, 1536, 3026, 5258?
25*j**3 - 4*j**2 + j - 4
What is the h'th term of -5815988, -5815987, -5815986, -5815985, -5815984?
h - 5815989
What is the q'th term of 6324, 6472, 6620?
148*q + 6176
What is the t'th term of -943, -1063, -1183, -1303, -1423, -1543?
-120*t - 823
What is the o'th term of 38, 44, 62, 92, 134, 188?
6*o**2 - 12*o + 44
What is the l'th term of 1312, 1734, 2156, 2578?
422*l + 890
What is the s'th term of 6584, 6530, 6476, 6422?
-54*s + 6638
What is the t'th term of 190, 367, 524, 655, 754, 815?
-t**3 - 4*t**2 + 196*t - 1
What is the j'th term of 431, 1830, 4195, 7526, 11823?
483*j**2 - 50*j - 2
What is the t'th term of 213, 398, 583?
185*t + 28
What is the n'th term of -62114, -62115, -62116, -62117, -62118, -62119?
-n - 62113
What is the p'th term of 726139, 2904557, 6535253, 11618227?
726139*p**2 + p - 1
What is the w'th term of 4952, 19948, 44942, 79934, 124924, 179912?
4999*w**2 - w - 46
What is the p'th term of -57505, -114992, -172475, -229954, -287429, -344900, -402367?
2*p**2 - 57493*p - 14
What is the x'th term of 26511, 53027, 79541, 106053, 132563?
-x**2 + 26519*x - 7
What is the s'th term of -585, -594, -609, -630, -657?
-3*s**2 - 582
What is the q'th term of 291, 547, 801, 1053, 1303, 1551, 1797?
-q**2 + 259*q + 33
What is the f'th term of 14010, 28007, 42004, 56001, 69998, 83995?
13997*f + 13
What is the z'th term of 618754, 618746, 618738, 618730?
-8*z + 618762
What is the q'th term of 376, 1555, 3516, 6247, 9736, 13971, 18940?
-2*q**3 + 403*q**2 - 16*q - 9
What is the p'th term of 216103, 216111, 216119, 216127, 216135?
8*p + 216095
What is the l'th term of -7475, -7248, -7023, -6800?
-l**2 + 230*l - 7704
What is the o'th term of -1361, -2696, -4029, -5360?
o**2 - 1338*o - 24
What is the g'th term of -31259, -30858, -30189, -29252, -28047, -26574?
134*g**2 - g - 31392
What is the m'th term of 108, 378, 814, 1404, 2136?
-2*m**3 + 95*m**2 - m + 16
What is the k'th term of -794, -782, -770, -758, -746, -734?
12*k - 806
What is the i'th term of -175007, -175009, -175011?
-2*i - 175005
What is the g'th term of -631, -1292, -1953, -2614, -3275?
-661*g + 30
What is the u'th term of 802, 1642, 2482, 3322?
840*u - 38
What is the i'th term of -514, -1196, -1878?
-682*i + 168
What is the g'th term of -22705, -22745, -22813, -22909, -23033, -23185, -23365?
-14*g**2 + 2*g - 22693
What is the w'th term of -734, -745, -768, -809, -874?
-w**3 - 4*w - 729
What is the v'th term of -257601, -257597, -257593?
4*v - 257605
What is the i'th term of -51360, -51363, -51374, -51399, -51444, -51515, -51618?
-i**3 + 2*i**2 - 2*i - 51359
What is the k'th term of 1476, 2159, 2842, 3525, 4208, 4891?
683*k + 793
What is the c'th term of 39280, 78563, 117846, 157129, 196412?
39283*c - 3
What is the g'th term of -39, 157, 357, 561, 769?
2*g**2 + 190*g - 231
What is the l'th term of 275, 289, 301, 311, 319, 325, 329?
-l**2 + 17*l + 259
What is the q'th term of 14250, 56995, 128236, 227973, 356206, 512935, 698160?
14248*q**2 + q + 1
What is the d'th term of 18201, 18199, 18197?
-2*d + 18203
What is the b'th term of 249, 214, 179?
-35*b + 284
What is the v'th term of -2890, -2912, -2944, -2986, -3038, -3100, -3172?
-5*v**2 - 7*v - 2878
What is the y'th term of -304, -1206, -2704, -4792, -7464, -10714, -14536, -18924?
y**3 - 304*y**2 + 3*y - 4
What is the y'th term of 1196, 1777, 2354, 2927?
-2*y**2 + 587*y + 611
What is the g'th term of 3910, 15629, 35160, 62503?
3906*g**2 + g + 3
What is the q'th term of -460, -852, -1906, -3952, -7320, -12340, -19342?
-55*q**3 - q**2 - 4*q - 400
What is the b'th term of 591519, 1183038, 1774557?
591519*b
What is the v'th term of -5829, -11746, -17663, -23580, -29497, -35414?
-5917*v + 88
What is the b'th term of -515, -950, -1385, -1820, -2255, -2690?
-435*b - 80
What is the w'th term of 7673, 15344, 23017, 30692, 38369, 46048, 53729?
w**2 + 7668*w + 4
What is the q'th term of 92, 330, 568, 806?
238*q - 146
What is the i'th term of 3963969, 3963970, 3963971, 3963972?
i + 3963968
What is the s'th term of -6268, -6270, -6272, -6274, -6276, -6278?
-2*s - 6266
What is the v'th term of -4491, -4850, -5449, -6288?
-120*v**2 + v - 4372
What is the w'th term of -106892, -213785, -320676, -427565, -534452, -641337, -748220?
w**2 - 106896*w + 3
What is the d'th term of -2830, -3208, -3586, -3964, -4342, -4720?
-378*d - 2452
What is the p'th term of 27, 93, 183, 291, 411, 537?
-p**3 + 18*p**2 + 19*p - 9
What is the a'th term of 498, 1999, 4502, 8013, 12538?
a**3 + 495*a**2 + 9*a - 7
What is the w'th term of -2348, -2326, -2316, -2324, -2356?
-w**3 + 29*w - 2376
What is the h'th term of 65105, 130209, 195313, 260417, 325521?
65104*h + 1
What is the a'th term of -476018, -476024, -476030, -476036, -476042?
-6*a - 476012
What is the i'th term of -1515, -1537, -1561, -1587?
-i**2 - 19*i - 1495
What is the p'th term of 503493, 1006988, 1510493, 2014014, 2517557, 3021128, 3524733, 4028378?
p**3 - p**2 + 503491*p + 2
What is the p'th term of 327, 309, 291, 273, 255, 237?
-18*p + 345
What is the t'th term of -7330, -14642, -21942, -29224, -36482, -43710?
t**3 - 7319*t - 12
What is the a'th term of 256, 272, 304, 358, 440?
a**3 + 2*a**2 + 3*a + 250
What is the j'th term of 166, 1295, 4368, 10357, 20234, 34971?
162*j**3 - 5*j + 9
What is the y'th term of 42000, 83903, 125804, 167703, 209600, 251495?
-y**2 + 41906*y + 95
What is the d'th term of -88748, -88746, -88744, -88742, -88740, -88738?
2*d - 88750
What is the s'th term of 335485, 670971, 1006457, 1341943, 1677429?
335486*s - 1
What is the s'th term of 8194, 16357, 24510, 32647, 40762, 48849, 56902?
-s**3 + s**2 + 8167*s + 27
What is the i'th term of 3311, 6346, 9381, 12416?
3035*i + 276
What is the b'th term of 2885, 11588, 26123, 46514, 72785?
4*b**3 + 2892*b**2 - b - 10
What is the b'th term of 1914, 7709, 17346, 30819, 48122, 69249, 94194?
-b**3 + 1927*b**2 + 21*b - 33
What is the t'th term of 1889, 1809, 1679, 1499, 1269?
-25*t**2 - 5*t + 1919
What is the c'th term of -39418, -78827, -118236, -157645, -197054?
-39409*c - 9
What is the c'th term of -696, -783, -932, -1173, -1536?
-5*c**3 - c**2 - 49*c - 641
What is the d'th term of 1053, 1915, 2777, 3639, 4501, 5363?
862*d + 191
What is the q'th term of -3351, -2802, -2253, -1704?
549*q - 3900
What is the o'th term of 11844, 11851, 11872, 11913, 11980, 12079?
o**3 + o**2 - 3*o + 11845
What is the s'th term of 161, 273, 459, 719, 1053, 1461, 1943?
37*s**2 + s + 123
What is the h'th term of 338974, 677945, 1016916, 1355887, 1694858?
338971*h + 3
What is the a'th term of -249, -41, 333, 873?
83*a**2 - 41*a - 291
What is the g'th term of 1950, 3731, 5526, 7341, 9182, 11055, 12966?
g**3 + g**2 + 1771*g + 177
What is the x'th term of -1210, -2455, -3700, -4945?
-1245*x + 35
What is the w'th term of -39710, -79420, -119126, -158828?
2*w**2 - 39716*w + 4
What is the t'th term of -163, -348, -573, -844, -1167, -1548, -1993, -2508?
-t**3 - 14*t**2 - 136*t - 12
What is the d'th term of 730, 2897, 6510, 11569?
723*d**2 - 2*d + 9
What is the s'th term of -371376, -371378, -371380, -371382?
-2*s - 371374
What is the v'th term of 169, 425, 981, 1987, 3593?
25*v**3 + 81*v + 63
What is the x'th term of 5028, 5035, 5040, 5043, 5044, 5043, 5040?
-x**2 + 10*x + 5019
What is the a'th term of 110487, 110488, 110489, 110490, 110491?
a + 110486
What is the z'th term of 24575, 49135, 73693, 98249, 122803, 147355, 171905?
-z**2 + 24563*z + 13
What is the w'th term of -58, -620, -2190, -5266, -10346, -17928, -28510?
-83*w**3 - 6*w**2 + 37*w - 6
What is the j'th term of 63, 566, 1469, 2826, 4691, 7118, 10161?
9*j**3 + 146*j**2 + 2*j - 94
What is the o'th term of 113312, 113316, 113320, 113324, 113328?
4*o + 113308
What is the a'th term of 3525, 7165, 10805, 14439, 18061, 21665, 25245?
-a**3 + 6*a**2 + 3629*a - 109
What is the s'th term of 25878, 25869, 25860, 25851, | {
"pile_set_name": "DM Mathematics"
} |
6*h + 441)*(6 - 2 + 6)*(-4 + 3 + 5) to the form q + y*h and give y.
-2240
Express 131*m**2 + 162952 - 162952 - 7*m as p*m**2 + g*m + b and give g.
-7
Express (17 - 17 - 7*b**2 + (3*b + 2*b**2 - 3*b)*(-4 + 7 - 2))*(32*b - 32 + 65 - 28) in the form l*b**3 + f*b + m + o*b**2 and give o.
-25
Rearrange 46*b + 2*b**2 - 9 - 6*b - 5*b - 8*b**3 - 32*b to j*b**2 + m*b + n + t*b**3 and give m.
3
Express (-432 - 1302 - 2143)*(-w + w - 2*w)*(-6 + 3 + 1) in the form t + q*w and give q.
-15508
Rearrange -2*j**2 - 437 - 420 + 11*j + 874 + 25*j to k*j + p*j**2 + u and give p.
-2
Rearrange (2*q**2 - 5*q**2 + 4*q**2)*((1 + 3 - 6)*(1 - 2 + 4) - 269 - 307 - 445) to the form h*q + f*q**2 + r and give f.
-1027
Express -60*g**2 - 105 + 279*g - 279*g + 63*g**2 as x + y*g**2 + z*g and give x.
-105
Express (4 - 5 + 2)*(-3*a**2 - 4*a**2 + 6*a**2)*(-1 - 67*a - 70*a + 131*a) + 3*a**3 - 7*a**3 + a**3 as n*a**3 + w*a + j + c*a**2 and give n.
3
Rearrange (-x + 5*x - 2*x)*(23519*x + 22640*x - 47661*x) to p + v*x**2 + g*x and give v.
-3004
Rearrange -1475699 + 8749*h + 1475699 to the form s*h + z and give s.
8749
Express 5*b**2 + 3*b**3 + 3 - 5*b**2 - 546561*b + 757*b**3 + 546561*b + (-3 - 1 + 2)*(-2*b**2 + 2*b**2 - b**3) in the form v + u*b**3 + y*b + t*b**2 and give v.
3
Express (2*o - 1 + 1)*(-1 + 1 + 1) - 1 + 8627*o + 1 - 5837*o - 17062*o - 11043*o in the form m*o + g and give m.
-25313
Express (12 + 12 - 27)*(6*y - 2*y + 18*y) + (-1 + 1 + y)*(1 + 0 - 5) as q + r*y and give q.
0
Express 466 - 930 - 138*m**2 + 464 in the form w + g*m**2 + q*m and give g.
-138
Express -202559 + 5576*f**2 + 202559 in the form p*f + y + o*f**2 and give o.
5576
Rearrange 160*n**2 + 6 + 3 - 5 + 575*n**2 + n to s + f*n**2 + h*n and give s.
4
Express 4 - 18*f - f**2 + 3*f**2 + 42*f + 4*f**2 + 7*f**2 as c + p*f**2 + x*f and give p.
13
Rearrange (-133*c + 1437 - 1437)*(-4*c + 4*c + 12*c) to k + u*c + q*c**2 and give q.
-1596
Rearrange (-1 + 1 - 2*t)*(-11 - 24 + 5) + (-24*t - 2*t - 3*t)*(-3 + 4 + 5) to k + i*t and give i.
-114
Express -65 + 20*x**2 + 466*x - 12 + 77 in the form l*x + h + a*x**2 and give l.
466
Express (5 + 0 - 3)*(0*x + x + x)*(1955 + 3289 - 6470)*(2 - 2 + 2*x**2) in the form t*x**3 + b + g*x + j*x**2 and give b.
0
Express -2*f**3 + 7*f**3 + 83*f**2 + 5 - 3*f**3 + 2 - 4*f**3 as t + k*f**2 + z*f + y*f**3 and give y.
-2
Rearrange (6*w - 6*w - 14*w**2)*(3*w - 3*w + 7*w)*(-12*w - 83 + 83) to the form g*w**3 + l*w + f*w**2 + c*w**4 + a and give f.
0
Rearrange (57 + 1 - 291 - 682 - 721)*(-1 + 1 + 2*r)*(-2 + 2*r + 2) to q*r + p*r**2 + d and give p.
-6544
Rearrange 20*o - 2*o**4 - 2 + 142*o + 12*o + 32*o to the form q*o**2 + i*o**4 + s*o + m*o**3 + n and give s.
206
Rearrange 220*i - 104*i - 756*i - 461*i - 184*i to l + k*i and give k.
-1285
Rearrange 2806*r + 24 + 481*r - 63 + 18 + 19 to z + v*r and give v.
3287
Rearrange -405*g - 468*g - 132*g + 36*g - 5 + 129*g to s*g + v and give v.
-5
Rearrange (-1116*o + 566*o - 3868 + 552*o)*(0 - 1 + 3) to the form z*o + u and give z.
4
Rearrange -52128*s**2 + 52124*s**2 + 2 - 22*s - 7*s**3 + 4*s to the form j + r*s**2 + w*s**3 + q*s and give r.
-4
Rearrange (3*c + 0*c + 0*c)*(26*c + 179 - 179)*(-2 - 1 + 4)*(-7 - 16 - 2 + 2) to the form m*c + d + t*c**2 and give m.
0
Rearrange 3166*d - 785*d + 2326*d to the form j + s*d and give s.
4707
Express (-13*s - 10*s - 2*s)*(-1427 - 1593 + 2741) as l + n*s and give n.
6975
Express 5*i**2 - 339 - i - 3*i - 2*i**4 + 167 + 166 + 2*i - 4*i**3 as r*i**4 + y*i + h*i**2 + v + z*i**3 and give v.
-6
Rearrange (7 - 3 + 7073*k + 11 - 10 - 5)*(0*k + 3*k - 2*k) to the form c + m*k + t*k**2 and give t.
7073
Rearrange 16*i + 41*i + 10*i + (-2 + 4 + 0)*(-9*i - 6*i - 10*i) to x + c*i and give c.
17
Rearrange (c - c + 2*c**2)*(-c**2 - 4 - 285*c + 300*c + 71*c) to the form s + p*c**2 + t*c**4 + v*c**3 + k*c and give t.
-2
Rearrange -10 - 10 - 12 + 41 - 11 + 1872*a to i*a + k and give i.
1872
Express (0*p - p + 0*p)*(11574515*p - 2674*p**3 - 11574515*p) as u*p**3 + x*p**4 + z*p**2 + q*p + c and give x.
2674
Rearrange (4*j - 7 + 7)*(1595 + 2922 - 1355 + 3641 + 2379 + 1021) to x*j + n and give n.
0
Express 13*p**3 - 296*p**2 - 275*p**2 - 2 + 2*p - 5*p + 1 + 540*p**2 in the form c + d*p + b*p**3 + o*p**2 and give c.
-1
Rearrange -106 - 87*h - 74*h - 138*h + 103 - 104*h to the form q + r*h and give r.
-403
Rearrange 4 - 4 - 2543*s - 3766*s + 339*s to the form l + v*s and give v.
-5970
Rearrange -171 + 5*a + 306 + 251 to the form d*a + l and give d.
5
Express -5*m**2 - 1158259*m**3 + 4*m**2 + 4*m + 1158206*m**3 in the form q + a*m + h*m**3 + r*m**2 and give r.
-1
Rearrange 15 - 5 - 2 - 10 + 50*o**2 + 10*o**2 - 4*o to x*o + n*o**2 + c and give x.
-4
Rearrange 511*t + 0 - 2 + 503*t to c + f*t and give c.
-2
Express 10*d + 2*d**3 + 15*d**4 + 9*d**4 + 9*d**2 + 1 - 7*d**2 - 2 + 10*d in the form t*d**4 + w*d**2 + x + s*d**3 + r*d and give s.
2
Express 9477 + 5310*k**2 - 2*k + 9667 - 19142 in the form r*k**2 + p + g*k and give r.
5310
Express (4 - 64 - 83)*(-7*r**4 + 58*r**4 + 54*r**4 - 16*r**4) as i*r**3 + w*r**4 + v*r + k*r**2 + f and give w.
-12727
Express 138*x + 6 + 41*x - 91*x + 368*x - 5 in the form z*x + l and give z.
456
Express 7894*a**2 - 8*a + 8*a - 11785*a**2 + 53 - 52 in the form n*a**2 + o*a + h and give h.
1
Express 40 + 27 - 22 + 20 + 36*w - 15*w as y + t*w and give y.
65
Rearrange (6223 + 12149 + 37339 - 909)*(h - 3*h + 0*h) to the form f + d*h and give d.
-109604
Rearrange 4*p - p + p + 243 - 243 - 25*p + (-3*p + p + 0*p)*(-3 + 2 + 2) to x + q*p and give x.
0
Rearrange 35152*z - 794171 + 794171 - 10440*z to the form r + k*z and give k.
24712
Rearrange -11435*b**2 + 22190*b**2 - 12438*b**2 to the form g*b**2 + v + j*b and give g.
-1683
Rearrange 125*f**3 + 118*f**3 + 37*f**3 + (-5*f**2 - 4*f**2 + 3*f**2)*(2*f - 1 + 1) to the form h*f + y*f**3 + z*f**2 + r and give y.
268
Express 233*o**4 - 5*o + 43 + 18 - 13 - 244*o**4 + 6 in the form h*o**3 + i*o + g + u*o**2 + z*o**4 and give g.
54
Rearrange -282 - 169*m + 83 + 108 + 124 to n*m + y and give y.
33
Express 34 - 168 - 42 + 39 + 114*b**2 in the form c*b**2 + k*b + h and give c.
114
Express -119 - 83 + 321 - 11045*g - 119 in the form q + h*g and give h.
-11045
Express -44*n - 378 + 14*n - 389 + 25*n in the form d*n + t and give t.
-767
Express -8*w**2 + 18 - 8 - 82*w**2 - 9 as u + a*w + l*w**2 and give u.
1
Rearrange (-8275 + 7840 - 5639 + 23170 + 31809)*(3*f**4 + 2*f**4 - 7*f**4) to m*f + h + n*f**2 + g*f**4 + j*f**3 and give g.
-97810
Rearrange ((2 - 2 + 1)*(-5*f + 2*f + 2*f) + 1 - 248*f + 66*f - 21*f + (2*f + 7*f + 0*f)*(4 - 3 + 1))*(3 + 0 - 1) to the form d + p*f and give p.
-372
Rearrange (-2*r + 4*r - r)*(1048 + 164237*r - 82117*r - 82115*r) to p*r**2 + k*r + q and give p.
5
Express -9*p - 8627*p**3 + 10 - 7*p + 8628*p**3 - 5 as x + j*p + m*p**2 + s*p**3 and give x.
5
Rearrange (439 - 405 + 45*x - 53*x)*(0*x - 26*x - x) to the form t + y*x**2 + j*x and give y.
216
Express -2*h - 818 + 50 - 96 + 8*h in the form n + k*h and give k.
6
Rearrange (-949 + 549 - 10929*q + 400)*(0 - q + 0)*(1 - 3 + 1) to s + d*q + y*q**2 and give y.
-10929
Express (-f**3 - 242*f**2 - 428*f**2 + 342*f**2)*(2 + 14 + 0) in the form v*f + g*f**2 + b + z*f**3 and give g.
-5248
Express 2*c + 2 - 2 + 333*c + 778*c - 298*c + 3 - 3 + 2*c + (5 - 1 - 2)*(-3*c + 6*c - 2*c) - 5*c + 5*c - c in the form a + b*c and give b.
818
Express (5*c**2 - 2*c**2 - 2*c**2)*(-c**2 + c**2 + 2*c**2) - 78*c**4 + 380 - 380 + c**4 - 375 - 6*c**3 + 375 as r*c**3 + h*c**4 + u + p*c**2 + k*c and give r.
-6
Rearrange (491 - 288 + 773)*(0*d**2 + 0*d**2 + 2*d**2) to p*d**2 + g + w*d and give p.
1952
Express -3344*x + 811*x - 3318*x - 1386*x as b + v*x and give v.
-7237
Rearrange (3*q - 4*q + 0*q)*(3 + 1 - 3) + 1235*q - 56 - 354*q + 52 to the form u*q + v and give u.
880
Rearrange -58367*l**2 + 29180*l**2 - 2 - 72*l + 29180*l**2 to z*l + t*l**2 + r and give z.
-72
Rearrange 6 - 2*b**3 - 5 + 2*b**3 + 7*b**2 - 3*b**2 - b**3 to the form k + v*b**3 + j*b + c*b**2 and give v.
-1
Express (333042 - 204*v**2 - 333047 + 60*v**2)*(4 + 0 - 3)*(0 + 0 + v) as c + r*v + f*v**3 + k*v**2 and give f.
-144
Express 384 - 180*b + 210*b - 21*b**2 - 384 in the form n + t*b + s*b**2 and give n.
0
Rearrange 2*p - 3*p**2 + 971610 - 169*p**3 - 971610 + 2*p | {
"pile_set_name": "DM Mathematics"
} |
Suppose -z = -2*t + 13. Solve 0 = d - 3*j + t, -5*j + 4 = -21 for d.
-3
Let h be ((-180)/(-8))/5 + (-6)/4. Solve 3*w = 15, -4*v - h*w + 11 = -6*v for v.
2
Suppose 6*i - 7*i + 5 = 0. Solve -4*g + 11 = 3*v, 5*g - 23 = -i*v + 3*g for v.
5
Suppose 11 = -7*i + 46. Suppose -i*x - 2*y - y = -24, -3*x + 2*y = -3. Solve x*b + 11 = 5*q + 38, 0 = -q - 3*b + 9 for q.
-3
Suppose 0*f + 3*i - 81 = -3*f, 3*i + 34 = 2*f. Let n = -20 + f. Solve -2*y - 3*z = 2*y + 16, n*y + 12 = -z for y.
-4
Let c be 1 - 2 - -1*26. Let h be 22/5 - (-15)/c. Solve -h*n = 4*i, 37 = -5*n + i + 12 for n.
-4
Let s = 16 - 8. Let c(l) = -l + 6. Let k be c(s). Let w = 5 + k. Solve -2*i + 3 = -3*p - 4, 0 = p - w*i for p.
-3
Suppose o - 2*o + 4 = 0. Solve 0*m + 4*m - 24 = 4*s, 0 = s + o*m - 4 for s.
-4
Let f = -11 + 15. Solve s - 4 = 3*z, 2*z + f*s = -z + 1 for z.
-1
Let a be 63 - -1*(-2)/(-1). Suppose 5*l = 2*s - a, l = -3*s + 6*l + 90. Suppose -2*b = 2*b - 32. Solve 3*j - 2*g - s = b*j, 3*g = 0 for j.
-5
Let v = 12 - 8. Solve 0 = -5*p - v*w + 19, 5*p + 2*w + w - 18 = 0 for p.
3
Suppose 8*i - 9*i = 4*c + 18, 25 = -5*c. Solve 2*l + i*h = h + 3, -5*l + 5*h = 0 for l.
1
Let m(o) = 9*o**2 - o. Let x be m(1). Let i be (-1 - 2)/1 - -9. Let c = x - i. Solve c*f - 10 = -2*j, 0*j = -j + 5*f - 19 for j.
1
Let w(a) = a**2 - a. Let y be w(-1). Solve -2*z + 2*l - 6*l = -18, 0 = -y*z - 2*l + 12 for z.
3
Let y = 121 - 119. Solve -m = -4*n - 19, y*n = -3*m - 2*m - 15 for n.
-5
Suppose -12*r + 12 = -10*r. Let i = -14 + 25. Solve 11 = l - 2*z, -r*l - z + i = -l for l.
3
Let g be ((-1 + -2)/1)/((-60)/80). Solve -2*w = 3*l + 8, -w + 3*l = 2*l + g for w.
-4
Let p be 120/(-45)*(-3 + 0). Solve h - 2*h = -3*x - p, 5*x + 11 = 4*h for h.
-1
Suppose 5*w = -2*m - 11 - 3, 0 = -2*m + 2*w + 14. Solve m*y = -3*q + 6, 3*y + 10 + 4 = q for q.
5
Let k(y) = -y**3 - y**2 + 1. Let p = -4 - -3. Let a be k(p). Suppose a = m - 3. Solve 5*d - 4*h + 6 = 25, 4*h + m = 0 for d.
3
Let h = -9 - -12. Let b(z) = z**3 - 1. Let o be b(1). Solve -h*v + 3*t - 3 = o, 4*v - t + 0*t + 1 = 0 for v.
0
Let m(l) = 5*l - 3. Suppose 0*s = 4*s - 8. Let v be m(s). Let q be 4/(-14) + (-88)/(-14). Solve -q = 2*d, 2*n + 3*n + 4*d = -v for n.
1
Let z(y) = -y**3 - 3*y**2 + 6*y + 8. Let m be z(-4). Suppose m = 5*f - f. Solve 0 = 2*l + 2*g, 2*l - g + f - 3 = 0 for l.
1
Let g(d) be the third derivative of 0 - d**2 - 1/60*d**5 + 0*d**3 + 7/24*d**4 + 0*d. Let w be g(4). Solve -i = i + 3*x + 4, 2*i - x = -w for i.
-5
Let v(l) = -l**2 - 4*l + 7. Let n be v(-5). Let b(m) = -2*m**3 - 2*m**2 + 6*m + 1. Let g be b(-3). Solve 0 = n*y - 2*c - 8, 4*y = 3*c + g - 7 for y.
0
Suppose 4*q - a = 25, q + 4*q - 31 = a. Let h = -2 + q. Solve 5*l - h*y - 20 = 0, -12 = -3*l - 0*l - 4*y for l.
4
Let o(l) = -l - 6. Suppose -2*y = -0*y + 12. Let b be o(y). Suppose b = 2*r + r - 9. Solve -2*a = 3*w - 22, -r*a + 12 = a - 2*w for a.
5
Let k = -6 - -14. Solve 4*s + k = -t, -2*t = 3*s - 5 + 16 for s.
-1
Suppose 0 = -3*q + 6 - 0. Solve 4*l + 2*c + q*c + 4 = 0, 2*l - 5*c - 33 = 0 for l.
4
Let j = 9 - 5. Suppose 3*m + 13 = -z, 3*z - 10*m + 7*m = 21. Solve z*l - j*h = 6, 0*l = 5*l - h - 15 for l.
3
Let m = -15 + 15. Solve 4*l + 20 = m, -4*t - 5*l + 10*l + 25 = 0 for t.
0
Suppose 15 = -p + 3*m, p + 3*m - 2 = 7. Let b be 0 - (2 + p) - -1. Suppose f = -b*f. Solve 0 = -5*u + 3*l - l + 9, -u - 2*l + 9 = f for u.
3
Suppose 6 + 194 = 5*p. Suppose 110 = -s - 4*s - t, -5*s = -t + 100. Let l be 2 + s/6*-8. Solve -3*f = 3*y + l, -3*y - f - 4*f - p = 0 for y.
-5
Suppose 4*q = -2 - 10. Let g be 3 - 4*q/6. Solve -14 = -3*s + 4*z, -s + 4 = -4*s - g*z for s.
2
Let y = 52 + -46. Solve 2*n = -4*j - 12, -2 = 4*j - y*j + n for j.
-1
Let y be 1/4 - 2/8. Suppose n - 2 - 10 = 0. Suppose 2*t = n - y. Solve 7*v - 3*v + 3*j = -t, -6 = -v + 3*j for v.
0
Suppose -4*o + 4*g + 68 = -0*g, 0 = 5*o + 5*g - 55. Solve -i + 2*b = o, -16 = -i + 2*b - 6*b for i.
-4
Let z(j) = j**3 - 4*j**2 + 4*j - 14. Let x be z(4). Solve 0 = -5*m - n - 8, -3*n + 2 = m - x for m.
-2
Let u(d) = -d**3 + 3*d**2 + 4*d + 5. Let v be u(4). Let k be (-4)/12*(-1 + 1). Let n be (-3)/(3 - (-9)/(-2)). Solve k = v*i - 15, -4*c + n*c = 5*i - 13 for c.
-1
Let o be -5*(-2)/(-5)*-1. Let l(h) = h**3 - h**2 - h + 6. Let i be l(0). Let y be 34/i - (-2)/(-3). Solve o*g = 3*s + 14, 0 = -y*g - s - 4*s - 15 for g.
1
Let m = 6 - 3. Suppose m*u = -3*y + y + 65, 0 = y + 2. Let x = -16 + u. Solve -p = -4*b + 11, b = p + 3*b - x for p.
1
Let s = 57 + -34. Solve -2*l + q - s = 2*l, -3*l + 2*q = 21 for l.
-5
Let j(w) = w + 3. Let v be j(-5). Let y be ((-1)/v)/((-4)/(-16)). Solve -z - y*x - 2 - 8 = 0, 10 = 2*z - 2*x for z.
0
Let v be (-1)/(8/3 + -3). Suppose -v*x + 0*x = 0. Solve 5*g + 16 = 2*z, x = 2*z + 2*z - g - 14 for z.
3
Let d = -25 + 27. Solve 2*r = -d*r + 2*w + 26, 0 = 3*w + 9 for r.
5
Let r(b) = 5*b**2 + 1. Let s = 6 - 5. Let v = 0 + s. Let z be r(v). Solve -3*j = -15, 0 = 2*i - z*i - j + 9 for i.
1
Let t = 38 - 20. Suppose 2*u + 5*i = -16 - 0, t = -u - 5*i. Let h(m) = m**2 + 2*m - 3. Let v be h(2). Solve -l = -4*x + v, 3*x + l = -u - 3 for x.
0
Let s = -23 + 31. Solve 5*q + 12 = -5*j - s, -j = 2*q + 6 for j.
-2
Suppose s - 5*g = -2*g - 3, 4 = -2*s + 4*g. Solve s = 4*b - 4*k, 2*k = -b + 9 - 24 for b.
-5
Suppose -2*v = s + 4*s + 2, 2*v - 12 = 2*s. Solve 5*i = 25, -4*i + 8 + 0 = v*m for m.
-3
Let g be (-1)/((-535)/(-135) - 4). Solve 0 = -3*s - 4*x - g, 0*s + 2*s + 2*x = -16 for s.
-5
Let q be -6 - 1/(1/3). Let d be 1/(-4) - q/36. Solve -4*b + 0*z = -z - 15, -z - 3 = d for b.
3
Let x = -9 - -9. Solve 3*l = -2 - 10, 5*u - 3*l - 7 = x for u.
-1
Suppose -92 = -4*m + 56. Let d = -26 + m. Solve 3*v + d - 4 = -z, 13 = z - 2*v for z.
5
Suppose -2*x = 3*x. Solve u + 6 = 2*p, 3*p + 2*p - 2*u - 16 = x for p.
4
Let t be 27/6 + (-1)/2. Solve -t*z + 5*d = -3*z + 10, 3*z + 2*d - 21 = 0 for z.
5
Let g be -2*(-1 + (0 - 0)). Suppose 11*x = 18 + 4. Suppose 0 = -q + 3*w + 15, -5*q + q + 5*w + 32 = 0. Solve 0*m - x = g*m + q*h, 0 = 3*m + h + 3 for m.
-1
Suppose 2 + 6 = t. Suppose -35 = 3*b - t*b. Let o = 12 - b. Solve -o*d = -2*a + 4 - 0, -5*a + 10 = 4*d for d.
0
Let a be 66/14 - 20/(-70). Solve 28 = 4*j + a*v, -5*j - v + 2 = -3*v for j.
2
Let i(l) = l + 9. Let f be i(-7). Let b = -2 + f. Suppose -2*x + 2 + 8 = b. Solve j - 6 = -2*o + 5*j, 10 = -x*j for o.
-1
Suppose 6*j - 10*j - 12 = 0. Let r = 5 + j. Solve -s - 3*a - r = 0, -a + 2*a - 1 = 0 for s.
-5
Let v = 7 + -4. Let a(r) = -2*r - 4. Let k be a(-2). Suppose -2 = -t, k*t = 2*g + t - 6. Solve 2*u - v*d = -g*u - 15, 15 = 3*u + 3*d for u.
0
Let c = 96 + -96. Solve b - 3 + 1 = c, -4*z + 20 = 4*b for z.
3
Suppose -n + 4*n = 12. Let j = -1 + n. Solve b = 5*b - 5*y - 32, -y - 13 = -j*b for b.
3
Let s(h) = -2*h - 1. Let b be s(-3). Let j = 56 - 35. Suppose -4*v = v - 5*a - 30, 4*v + 5*a = 6. Solve o = -2*u + v, u = b*o + j - 8 for u.
3
Let k = 35 - -1. Suppose -t - c = 3*t + k, -32 = 2*t - 3*c. Let p = t + 15. Solve p*r = -4*y + 2*y - 21, -2*r - 12 = 2*y for r.
-3
Suppose -5*x + 13 + 2 = 0. Let t(a) = -3 - 2 + a**2 - 3*a + 7. Let v be t(x). Solve 4*m = r + v*r + 1, -3*m - 2*r = -22 for m.
4
Suppose 5*b = -25, -5*b = -5*t + 8 + 37. Suppose -2*s + t = -0. Suppose 5*w = g + 21 - 4, -2*g - 2 = -s*w. Solve 2*p = -5*m - 20, 5*p + 4 = -w*m + 3*m for m.
-4
Let v be (-2)/((-4)/2) + 0. Let x be 0 - 5/(v + -2). Suppose -x = 3*m - 20. Solve -2*s = m*l - 26, 2*s + 3*l - 10 = 2*l for s.
3
Suppose -9*j + 5 = -8*j. Solve -j*y - 15 = 3*x, 2*x + 5*y + 5 = -5 for x.
-5
Suppose 0 = o + o + 6. Let b = 33 - 31. Let i be -1 + (13 + b - o). Solve 10 = -4*y - 2*f, -y - i = 3*f - 2 for y.
0
Suppose r + 1 + 7 = -5*b, -3*r - b = -18. Solve 2*u + 17 = -5*s + 4*u, 3*s + 2*u = -r for s.
-3
Let o = -53 + 55. Solve -r - 19 = -3*r + 5*y, 2*y = o*r - 4 for r.
-3
Let o(w) = -w**3 + 9*w**2 - 7*w + 8. Let n be o(8). Suppose -2*j + n = 5*x, -4*x - 3*j + 8 = j. Solve -6*r + 2*r + 12 = 4*b, 5*b - 17 = -x*r for r.
-2
Let k be (55/(-20))/((-1)/4). Solve l - k = r + 2*r, l = -4*r - 10 for r.
-3
Let c be (-12)/2*6/(-6). Suppose -7*p + 4*p = -c. Solve -d = -p*n + 6, 0*n = -3*d - n + 3 for d.
0
Let z(j) = j**3 + 7*j**2 + 5*j - 1. Suppose -2*m + 8 = -5*b, 4*m + 3*b - 4*b + 20 = 0. Let o be z(m). Solve 14 = 3*f + g, -o*g + 4*g - 2 = -f for f.
4
Suppose 62 + 14 = 4*t. Solve -6*b - n + 11 | {
"pile_set_name": "DM Mathematics"
} |
-5*y = k + 18, 2*y - 5*k - 10 = 7*y. Let a be n(y). Let s be 1*-1*(-1 - -1). Which is smaller: s or a?
s
Let n = 10.84 + 0.16. Let u = n + -8. Are u and 0 nonequal?
True
Let w(m) = -m - 1. Let r be w(-2). Let f = r - 3/2. Let c(y) = y**2 - 12*y - 29. Let n be c(14). Which is bigger: f or n?
f
Let i be 149/(-20) - 4/(-20). Let s be (-6)/5*20/(-3). Let b = i + s. Are b and -2/5 equal?
False
Let a = -6 + 5.7. Suppose 4*u - 6 = -s, 4*u - 4 = -0. Which is greater: a or s?
s
Suppose -r + 2*r = -4*f - 15, 0 = 2*r + 3*f + 10. Which is smaller: r or 14/11?
r
Let c(i) = -i + 3. Let a be c(6). Suppose -5*z = -6 + 1. Let w be z - 3 - (-1 - -2). Does a = w?
True
Suppose 5*x - 7*x + 2 = 0. Does -1 = x?
False
Let b = -4 - -6. Which is bigger: b or 0.04?
b
Suppose 3*r + 9 = 0, g - 10 = 2*g + 5*r. Suppose g*l - 24 = 1. Suppose -5*i = x + 3*x - 24, -5*i = -l*x - 15. Which is smaller: 2 or i?
2
Let t be 20/(-70) - 2/(-7). Let i = 0 - -3. Are i and t unequal?
True
Let u = -16 - -14. Which is bigger: -5 or u?
u
Suppose -2*s = -s + 2. Let r(c) = c**2 - c - 2. Let k be r(s). Suppose -2 + k = -f. Is -2 at least as big as f?
True
Let l(n) = -n**2 - n + 2. Let q be l(0). Suppose -3*v + 0*u = 3*u + 27, q*v + 6 = u. Let i(c) = c**2 + 4*c - 1. Let h be i(v). Is 3 at least as big as h?
False
Let p be (-2)/(-8) - 2/8. Let n = 47 + -47. Is n bigger than p?
False
Let q be 6 - 0*(-3)/6. Let x be 3/(-2)*4/q. Let l be x + 1/(0 - 3). Which is smaller: l or -1?
l
Let o be 37/(-4) - (-2)/8. Let q be (-2)/o + (-21)/(-27). Which is greater: -1/9 or q?
q
Let k = 0.12 + -0.12. Which is smaller: -10 or k?
-10
Let o be ((-2)/(-6))/((-10)/(-150)). Which is smaller: 7 or o?
o
Let l = -5 - -6. Let n be (1/1 - l)*-1. Which is bigger: n or 1/2?
1/2
Let c = -0.02 + -1.98. Let w = 2.4 + c. Let t = w + -0.4. Is -0.2 greater than t?
False
Let q = -0.3 + 0.2. Let g = -25 - -23. Which is smaller: q or g?
g
Let h be ((-3)/(-3) + 0)/1. Let k = 29 - 18. Is k greater than or equal to h?
True
Let u be (0 + -1)*(-14)/(-10). Suppose 0 = 3*k - 0*k + 6. Is k > u?
False
Let u be -2 + 3 - (-45)/(-55). Is u not equal to -0.3?
True
Let f = 47734 + -572461/12. Let v = 121/4 - f. Let h be (-2)/3 - (-4)/6. Is v greater than h?
True
Let o = -1.948 + 1.9. Which is bigger: 2/7 or o?
2/7
Let s be 2/6*15/(-20). Suppose -6*b = -3*b - 21. Suppose -3*y = 4*j - b*y, -4*y = -2*j + 2. Which is smaller: j or s?
j
Let d be 0 - 2 - (-7)/5. Is d greater than or equal to 5?
False
Let d = -97 - -18. Is -1/3 bigger than d?
True
Let b be 92/24*(-3)/(-9). Let j = -16/9 + b. Which is bigger: j or 1?
1
Let j(t) = -4*t. Let a be j(-1). Let c(i) = i**2 - 8*i - 12. Let b be c(10). Suppose -b + a = 4*z. Is 1/5 at least z?
True
Let h be ((-186)/84 + 2)*5/(-3). Which is bigger: h or 1?
1
Let s = -88 + 87. Is s greater than -16?
True
Let d = -0.22 + -0.78. Which is smaller: 1/8 or d?
d
Let u = 34 + -16. Let w = u + -13. Is 6 at most as big as w?
False
Let c = -0.3 + -0.7. Let l = 269.8 + -270. Is c < l?
True
Suppose -25 + 85 = -5*n. Do -12 and n have the same value?
True
Let q = 18.07 - 18. Is q smaller than 1/3?
True
Let f = 6.2 - -1.8. Let n = 8.95 - f. Let w = 0.05 + n. Are w and -1 non-equal?
True
Let s(y) = -y**3 + 11*y**2 - 2*y + 14. Let k be s(11). Are -9 and k unequal?
True
Let v(x) = x**3 - x**2 + 2. Let k(c) = 3*c**3 - 3*c**2 + 5. Let l(a) = -2*k(a) + 5*v(a). Let w = 3 - 3. Let n be l(w). Is n > 1?
False
Let v = 62/5 - 221/15. Is v bigger than 0.2?
False
Let p(f) = 2*f**2 + 7*f + 3. Let j be p(-4). Is 6 less than or equal to j?
True
Let f = 63 - 70.2. Let g = f + 7. Let c be 2*(-1)/2*-1. Is g >= c?
False
Suppose a = 3*a + 2. Let j be (-2)/(-12)*12/21. Which is smaller: a or j?
a
Let r(n) = 6*n**2 - 3*n - 10. Let w(f) = f**2 + f. Let l(v) = r(v) - 5*w(v). Let o be l(9). Let q be 44/20 + 1*o. Is 1 < q?
True
Let m(y) = y**2 + 5*y. Let r be m(-5). Suppose -3*p = -2*g + 6*g - 6, r = -2*g - p + 2. Which is smaller: g or -1/12?
-1/12
Let p = 10 + 8. Is p less than 19?
True
Suppose 5 = -4*h - 3. Which is greater: 65 or h?
65
Let y(k) = k - 8. Let s be y(7). Let m(b) = 7*b**2 - 5*b + 8. Let i(l) = -8*l**2 + 5*l - 9. Let w(t) = 6*i(t) + 7*m(t). Let q be w(4). Is s bigger than q?
True
Suppose b + 9 = 12. Is 1/3 < b?
True
Suppose 4*u + 10 - 2 = 0. Let v be -4*(110/56 + 2/(-1)). Is v greater than or equal to u?
True
Suppose -10*y = -5*y + 45. Is y at most -9?
True
Let k be 1/(-2) + 68/8. Is k at most 6?
False
Let x = 511 + -6640/13. Does x = -1?
False
Suppose p - s + 1 = 0, -p - 4*s = -4*p. Let v = 6 + p. Do v and 2 have the same value?
True
Let g = 17 + -35. Let v be (g/45)/(9/(-5)). Suppose 5*k = -2 + 7. Which is bigger: k or v?
k
Let i be (-25)/2 - 7/(-14). Which is greater: -10 or i?
-10
Let y = -3.1 + -3.9. Let m = 0.07 - -2.93. Let d = m + y. Is d at most as big as -1/2?
True
Let p(i) = -i - i + 6 + 3*i. Let u be p(-6). Which is greater: u or -2?
u
Let w be -5*(2 - (-8)/(-6)). Is -2/7 smaller than w?
False
Let b be 1*(14/(-6) + 3). Let f = b - 1. Is f at least as big as -1?
True
Let w = 91.2 - 91. Let x = 0.38 + -0.08. Is w > x?
False
Let r = 12/13 - 49/39. Which is smaller: -1.8 or r?
-1.8
Suppose -1 = 3*b + 5. Let i = 0.04 + -0.04. Which is greater: i or b?
i
Suppose -4*u = -2*t + 123 + 163, -3*t = -9. Let s be 204/u - (-10)/(-35). Is s < -3?
True
Let j be (11 - 9)*1/2. Are j and 0 equal?
False
Suppose 4 + 0 = -j. Let p = 31/8 + j. Which is bigger: p or 1?
1
Let p = -721/3 - -238. Let f be (2/4)/(3/(-18)). Which is smaller: f or p?
f
Let u be -2 + (240/21)/5. Let z = -0.5 + 0.52. Let i = z + 0. Which is smaller: i or u?
i
Let v(c) = -8*c**3 + 0 + 3*c - 5*c**2 + 9*c**3 - 1. Let a be v(4). Let u(p) = p - 1. Let w be u(a). Is w bigger than -7?
True
Let t(c) = 2*c - 1. Let a be t(0). Which is smaller: a or 0?
a
Suppose -2*m = v - 0*v - 6, -5*m = -4*v + 11. Is m greater than -8?
True
Suppose -2*k = -5*k + 75. Which is bigger: 26 or k?
26
Let b be (-480)/(-756) - 4/(-18). Do b and 0 have different values?
True
Suppose -2*o + 3*o - 1 = 0. Let b = 548/5 - 109. Is b at least o?
False
Let q = -2 - -7. Suppose q*a + 6 = 1. Let i = 2561/14 - 183. Is i equal to a?
False
Let z = -48 - -434/9. Is z > 1?
False
Suppose 3*n = -0 - 12. Are n and -5 unequal?
True
Let o = 1.079 + -0.099. Let w = -0.02 - o. Is -1 <= w?
True
Suppose -i + 4*i - 2*x - 2 = 0, -i - 3*x - 3 = 0. Is i less than or equal to 1?
True
Let l be (-2)/(-1 - 1) - 2. Let t(d) = -7*d**2 + 8*d - 1. Let v(j) = 4*j**2 - 4*j. Let a(i) = 3*t(i) + 5*v(i). Let g be a(3). Which is smaller: l or g?
l
Suppose l + 17 = 4*l + 2*w, w = 1. Let v be -1*(0 - -2) + l. Which is bigger: 0.4 or v?
v
Suppose x = 3*x - 2. Let w(b) = b**2 + 9*b + 19. Let i be w(-6). Is i >= x?
True
Let s(q) = -q**3 + 9*q**2 - 3*q - 14. Let p be s(7). Which is bigger: p or 64?
64
Suppose -4*f + 212 = -14*t + 10*t, -4*f = -t - 44. Are -55 and t non-equal?
True
Let v be (-4 - -1)/6*-8. Suppose -2*y - 3*t = -21, y = 5*y - v*t + 8. Let h = 0.931 - -0.069. Which is bigger: h or y?
y
Let y(l) = l**3 + 4*l**2 + 5*l + 3. Suppose 5*o + 20 = -r + 6*r, -4*r = 4*o. Suppose -9 = 5*k - r*k. Let j be y(k). Which is smaller: j or -1?
j
Let a be 4/(-18) + (-564)/(-108). Let v be 0/(4/(-3 + a)). Is v at most 2?
True
Let l = 9.9 + 0.1. Let q = -10.2 + l. Let j = 46/3 - 15. Is j not equal to q?
True
Suppose 0 = -2*o + 2, z + 2*o + 1 = -3*o. Is -5 at most z?
False
Let j be 2 + (-34)/(4 - 2). Is j greater than or equal to -16?
True
Suppose -21 = -4*j + n, 3*j - 5*n = 14 + 6. Suppose -i - 8 + j = 0. Let s be 5 + 2 + (-3 - i). Is 7 equal to s?
True
Let a be (-2)/(-2 + (-3)/(-2)). Suppose -4*r + 9*j + 9 = 4*j, -1 = -a*r - 3*j. Let o = 79/3 - 105/4. Are r and o nonequal?
True
Let g = -7 - -11. Suppose -o = g*p + 2 - 1, -o = -3. Let i be p/(-4) + (-3)/(-4). Which is greater: 3/5 or i?
i
Suppose -3*u = -2*u + 2*u. Which is bigger: 6/19 or u?
6/19
Let s = 1.3 - 1.25. Which is greater: -1 or s?
s
Let a(z) = z + 2. Let l be a(-6). Let u = l - -3. Let f be (1/(-3))/((-11)/(-33)). Are u and f equal?
True
Let o = -19287/35 + 551. Which is smaller: o or 0?
o
Suppose -2*c - 1 = -3*c. Is c >= -4?
True
Suppose -4*h = -3 + 11. Let c be (2 + 33/(-9))*-3. Suppose 25 = -c*k - 0*k. Which is bigger: h or k?
h
Let f be ((-3)/9)/((-1)/9). Suppose -r - 13 = -f*o - 6, 0 = 2* | {
"pile_set_name": "DM Mathematics"
} |
*r - 4*o, 0 = 186*r + 182*r - 370*r - 3*o - 15 for r.
-3
Solve 126*j - 130*j - 2*i = -12, 2*j - i - 10 = 0 for j.
4
Solve 5*p = 5*h - 5, -7*p - 1 = -6*p - 4*h for p.
-1
Solve 2*s + 5 = -3*p, 20*p = 18*p - 4*s + 10 for p.
-5
Solve 28 = -2*i - q - 3*q, -q = 3*q + 28 for i.
0
Solve 4*u - 66299*v - 17 = -66294*v, -5*u + 2*v = -17 for u.
3
Solve 8 + 6 = -2*v - 5*y, -3*y = -2*v + 2 for v.
-2
Solve 5*q + 10*m + 8 + 7 = 0, 4*q - 12*m + 15*m = 3 for q.
3
Solve 0 = 5*p - 0*j - 5*j, 6*p + 4*j + 30 = 0 for p.
-3
Solve 5*z + 16 = -2060*c + 2064*c, 0 = -3*c - z + 12 for c.
4
Solve 5*z - 5 = -2*t, -119*t + 118*t - 5 = -5*z for t.
0
Solve 29 = 3949*m - 3948*m - 3*a, 0 = 5*m - a - 5 for m.
-1
Solve 3*j + 2652 = 2*w + 2631, 0 = -4*j + w - 8 for j.
1
Solve -6*l + 7 + 13 = -4*a, 2 = a - 5*l for a.
-8
Solve -2*j + 8 = 0, -22*h + 27*h = 5*j - 45 for h.
-5
Solve -32 = 2*l + 3*b, -l - 4690*b + 26 = -4692*b for l.
2
Solve 5*z + 5*t = 25, 5*z = 4*t + 1089 - 1073 for z.
4
Solve -3*i + 34 = -5*l, -83*i - 16 = -80*i + 5*l for i.
3
Solve 4*z = -11*f - 3, 5*f = -5*z + 132 - 127 for f.
-1
Solve 0 = -4*b - r - 51, -943 = 4*b - 2*r - 901 for b.
-12
Solve -2*k + 5*y = 25, 4*y = -4*k - 78 + 98 for k.
0
Solve -a - 3*a - 32 = -4*l, 2*a + l + 13 = 0 for a.
-7
Solve 4*f = 3*v + 17, -3*f + 5*v + 828 = 818 for f.
5
Solve -5*m + 2*w + 253 = 243, 3*w = -m - 49 for m.
-4
Solve 22*v + 113 = -4*c + 5*c, -5*v = c + 22 for c.
3
Solve -3*s + 5*h + 4 = -3*h + 17, 0 = 5*h + 5 for s.
-7
Solve -5*q = 16*r - 17*r + 4, -2 = -2*q + 4*r for q.
-1
Solve -y - 281 = -4*t - 248, 2*t = 3*y + 49 for t.
5
Solve -2*c - 5*s = 3, -8*c = 175*s - 176*s + 33 for c.
-4
Solve 2*z - 10 = -5*t + 7*z, t - 239*z = -241*z + 5 for t.
3
Solve -4*z = -3*l - 20, 2*l - 3*z = -60 + 45 for l.
0
Solve 5*i - 26*l + 29*l = 15, -l = -i - 5 for i.
0
Solve -5*a + 31 = -w, -2*a - 2065 + 2072 = 5*w for w.
-1
Solve -5*o + m = 9, -11495*m + 11497*m + 8 = -3*o for o.
-2
Solve 98 = 4*s + 6*h, -4*s + 63*h = 67*h - 60 for s.
-4
Solve 3*l = -2*f + 22, -4770*f - l + 9 = -4769*f for f.
5
Solve 0 = 5*y - 2*w + 15, 5*y + w = -5932 + 5932 for y.
-1
Solve -23 = -220*n + 218*n + 5*x, 5*x = -15 for n.
4
Solve -508 = -2*f + p - 502, 5*p - 3 = -f for f.
3
Solve 0 = -1627*c + 1625*c - 3*b - 4, -c - 4*b = 2 for c.
-2
Solve 5*k = -4*v - 12, 3*k + 2242 = v + 2245 for v.
-3
Solve 3*d + 5*f = 66, -56 = -4*d - 5233*f + 5229*f for d.
2
Solve -a = -4*a - 15, 0 = -3*y + 5*a + 34 for y.
3
Solve -5*j + 5 = 0, -3*u = -13*j + 8*j + 8 for u.
-1
Solve 5*g + 429*r - 428*r = 14, -3*r = 3*g + 6 for g.
4
Solve -41*c + 43*c = v + 10, 16 = -v + 5*c for v.
-6
Solve 1367*t - 1371*t + 4*v - 4 = 0, -5*t = -2*v - 4 for t.
2
Solve -5*s = 3*l - 30, 3*s - 3*l + 4*l = 6 for s.
-3
Solve 9*h + 5*o - 37 = 8*h, 0 = -5*h + 2*o - 4 for h.
2
Solve -4*w + x + 49978 = 49965, -3*x + 9 = 0 for w.
4
Solve -7*f + 19 - 44 = 2*h, 0 = -5*h + 4*f + 2 for h.
-2
Solve -7*b + 811 = -d + 816, 0 = -5*b + 4*d + 3 for b.
-1
Solve -36 = -n - 5*d + 39, -5*n = -7*d + 105 for n.
0
Solve 5602*t - 5605*t + 11 = -4*f, f - 4*t = -6 for f.
-2
Solve 146*k + 5*g + 39 = 144*k, 0 = -4*k + 3*g - 65 for k.
-17
Solve 2*s + 1 = -3*y, -15*s - 17*y + 16*y - 29 = 0 for s.
-2
Solve -36*m + 41*m + 7*c - 13 = 0, 0 = 3*m + 5*c - 11 for m.
-3
Solve -4*c = -3*u + 8790 - 8746, 4*u + 2*c = -22 for u.
0
Solve 0 = 2*a - 2*q + 24, 3*q - 35 = 4*a + 9 for a.
-8
Solve -c + 6 = -2*f + 4, -4*c = 5*f - 21 for f.
1
Solve -89*t + 5*h = -88*t + 37, -2*t = h - 3 for t.
-2
Solve -4*b + 26 = -6*b - 3*a, -4*a = 3*b + 38 for b.
-10
Solve 17*b + s = 12*b - 29, -21 = 4*b + 3*s for b.
-6
Solve 6*z - 5*a = 42, -4*z + 172*a - 22 = 177*a for z.
2
Solve o = -3*v + 1, -110*o = -3*v - 114*o - 14 for v.
2
Solve 6*h + 4*x - 17 = 9*h, 3*h - 3*x + 15 = 0 for h.
-3
Solve 2*h + 5 = -3*y, -31 + 33 = 2*h - 4*y for h.
-1
Solve -39*r + 117 = 87*b - 89*b, 2*b - 3 = -r for b.
0
Solve -5*z + 3 = t, 0 = -3*t + 22*z - 30*z + 9 for t.
3
Solve 5*c + 95 = 0, 3*x + 4*x - c = 2*x + 44 for x.
5
Solve 4*h - 51 = s, -444*s = -h - 449*s + 18 for h.
13
Solve -2*w + 1405*p - 1406*p = -4, 2*w = 2*p - 2 for w.
1
Solve -2*h - 5*v + 7 = 0, -5*h + 13258*v = 13261*v + 11 for h.
-4
Solve -4*l - 3*y = -87, 2*y + 13 - 78 = -3*l for l.
21
Solve -134*d + 129*d - 9 = -4*b, 2*d = 3*b + 2 for b.
-4
Solve 79*z + 10*a - 47 = 80*z, a = 5 for z.
3
Solve -4*a + 2*d = 12, 52*a - 51*a + 3*d = -10 for a.
-4
Solve q + 3*x + 14 = 0, -5*x - 115 + 120 = -4*q for q.
-5
Solve -113*t + 109*t = 8, -2*t = x + 17 for x.
-13
Solve a = c + 5, -48*c + 45*c - a = 7 for c.
-3
Solve 3*x - 2 = 5*v, 5*x = v - 133 + 129 for v.
-1
Solve -36*x = -31*x - i - 1, -2*i + 13 = 5*x for x.
1
Solve -5*o - 16 = -2*d, d - 59*o + 57*o = -3*d for d.
-2
Solve -5*y - 50 = 18*b, -3*y + 142*b - 144*b - 30 = 0 for y.
-10
Solve n - 9*p = 2, 3*p + 191 = -4*n + 199 for n.
2
Solve 2*o + j = 40 - 46, 5*o - j = -15 for o.
-3
Solve 170 = 3*m - 14*y, 2*y + 14 = -10*m + 13*m for m.
-4
Solve -4*w = -0 + 4, 5*i - 277*w = -282*w for i.
1
Solve 0 = -7*q + 5*s + 39, 40*s = 9*q + 45*s - 73 for q.
7
Solve -3*j = -5*t, -3*t + 2*j + 1388 - 1389 = -0*t for t.
3
Solve 0 = -y - 2*s + 5, 127*y - 2*s - 7 = 124*y for y.
3
Solve 3*o = -r - 18 + 9, 2*o - 10 = 2*r for r.
-6
Solve 28*v + 23*v - 3*y = 50*v + 6, y = -3*v - 2 for v.
0
Solve -5*s = 2*b + 5, -295*s + 8*b + 36 = -299*s for s.
1
Solve -20 = -4*j + 2*g - 4, 5*j + 6*g = -14 for j.
2
Solve 4*i + 15 = o, 74*o - 109*o + 34*o + 3 = 0 for i.
-3
Solve i - 8 = j - 17, -2*i + 4*j - 26 = 0 for i.
-5
Solve 4*m + 15 = l, -5*l + 15*m + 9 = 17*m for l.
3
Solve 805*w - 803*w = -5*j - 15, -7*j = -2*w + 45 for w.
5
Solve 0 = -x + 35 - 32, 4*x - 32 = -4*t for t.
5
Solve -d - 267*f = -271*f - 5, 0 = 3*d + 2*f - 57 for d.
17
Solve 5*n - 62 = -3*h - 67, -4*n = -h + 21 for h.
5
Solve -308*c = -309*c - m, 0 = 2*c - 2*m - 20 for c.
5
Solve -4*b + 13 = 3*p, 4*p = -0*p - 5*b + 16 for p.
-1
Solve 4*y + 17 = 3*t + 3*y, -2*t = 4*y + 12 for t.
4
Solve -v - 278 = -h - 288, 0 = 2*h + 6 for v.
7
Solve 0 = 2*y - 3*h + 16, 236 - 201 = -5*y + 5*h for y.
-5
Solve -7115*a = -7112*a - 2*v + 9, 3*v - 30 = -a for a.
3
Solve 66*f - 68*f + 13*i = -41, -2*f + i + 5 = 0 for f.
1
Solve -5*p - 52 = 4*m, 5*m - 942 = 2*p - 941 for m.
-3
Solve 19*o + 13 = 15*o - f, 0 = -6*o - 3*f - 27 for o.
-2
Solve -25 = -5*o, -v - 75*o = -71*o - 24 for v.
4
Solve -2*n - 23 = 3*c - 27, -10 = -5*c for n.
-1
Solve 4*c + 14 = 2*p, -p + 8*p = 2*p + 44*c + 205 for p.
-3
Solve 5*i = k + 29, -69 + 98 = 5*k + 4*i for k.
1
Solve 3*d + 3*u + 21 = 24, -d + 1 = -4*u for d.
1
Solve 0 = -4*u - 3*p + 11 + 2, 5*u + 3*p - 8 = 0 for u.
-5
Solve -247*g - 8 = -6*i - 255*g, i + 2*g - 2 = 0 for i.
0
Solve 5*v + 4*b - 8 = 0, 129 = -3*v + 15*b + 99 for v.
0
Solve -84*n + 80*n - 24 = -4*x, 5*x + 5*n = -10 for x.
2
Solve 3*d = -z - 14, 3*z - 2132 + 2138 = 2*d + d for d.
-3
Solve -6693*s + 5*h = -6696*s - 5, -2*s + 5*h = 20 for s.
-5
Solve -b = 2*k - 16 + 9, -2 = -2*k + 4*b for k.
3
Solve 5*w + 13 = -3*g, 0*g - 4*g - 2*w + 6 = 0 for g.
4
Solve 3*u - 64*a = -69*a - 35, -12*a = 24 + 24 for u.
-5
Solve 355*h = 3*b + 358*h - 15, 3*b - 3*h + 12 = -3 for b.
0
Solve q = -419*g + 415*g + 97, 4*g - 95 = q for g.
24
Solve -5*r - 5*h = -5, 541 = r + 2*h + 535 for r.
-4
Solve 7*s = 1739*l - 1743*l + 106, -2*l - 38 = -3*s for l.
2
Solve -g - 4922*h + 4933*h = 60, 3*g + 4*h = 5 for g.
-5
Solve 6*m - 24 = 0, -3*v - 22*m + 20*m - 1 = 0 for v.
-3
Solve 9*l + 11 = -5*h, -1534*l + 4*h = -1529*l - 21 for l.
1
Solve 510*p - 7 = 508*p - 3*r, 2*p + 8 = 2*r for p.
-1
Solve n + 3*c = -23, -12*n + 12 = 17*n - 35*n - 4*c for n.
4
Solve 4*k - 2 = -29*f + 32*f, 3*k - 8 = -f for f.
2
Solve 3*n - 528*s = -530*s - 18, 0 = -5*n - 4*s - 34 for n.
-2
Solve -3*h - z = -3, 57*z = 66*z - 81 for h.
-2
Solve 3*p + f + 31 = -0*f, 3*p + 2*f + 32 = 0 for p.
-10
Solve 5*a = 8*y + 28, 0 = 4*y + 5*a - 18 + 2 for y.
-1
Solve 81*j = g + 83*j + 17, 36 = -5*g - 3*j for g.
-3
Solve 3*z = 5*r - 15, -2*z = -2*r - 157 + 167 for r.
0
Solve 11*a - 112 = -5*a, -5*z + 2*a = 4 + 15 for z.
-1
Solve -3*l = 2*m + 12, -1040*m + 1043*m + 2*l = -13 for m.
-3
Solve 84*p = -5*j + 80*p - 51, -j - 14 = -3*p for j.
-11
Solve 3*m + 4*z - 3 = -25, 5*m - 2*z = -28 for m.
-6
Solve 5*h - 3*f - 9 = 0, 0*h + 5*f = -4*h + 22 for h.
3
Solve 36*c - 3*i - 15 = 32*c, 2*c - 8 = | {
"pile_set_name": "DM Mathematics"
} |
5*a**3 - 5*a**2 + 26*a + 13. Let o(w) = 5*d(w) - 7*q(w). Find the second derivative of o(b) wrt b.
30*b - 8
Suppose 0 = -2*d - 2*l + 14, 0*l + 23 = 5*d + l. Differentiate -d*w**3 - 2*w - 9*w + 11*w + 10 with respect to w.
-12*w**2
Suppose 0 = -m + 3, -2*r + 4*m = r + 3. What is the third derivative of 2*p**3 - 2*p**4 - 13*p**2 - 2*p**r + 8*p**2 wrt p?
-48*p
Let f(y) = 21*y**2 + 18*y + 4. Let a(l) = -44*l**2 - 35*l - 7. Let r(c) = -4*a(c) - 7*f(c). What is the second derivative of r(b) wrt b?
58
Let v(q) be the second derivative of 0*q**3 + 1/5*q**6 + 0*q**5 + 0 + 0*q**4 + 35/2*q**2 + 34*q. What is the derivative of v(n) wrt n?
24*n**3
Find the third derivative of -105*q**5 - 40*q**2 + 8*q**5 - 37*q**2 - 42*q**5 - 16*q**5 wrt q.
-9300*q**2
Let n(q) be the first derivative of -q**6/3 - 29*q**4/4 - 68*q**3/3 + 166. What is the third derivative of n(o) wrt o?
-120*o**2 - 174
Let q = 262 + 1. Let d be 8/1 - (-3 + 3). Find the second derivative of 263 - q + 3*f + d*f**2 wrt f.
16
Suppose -11 = -3*c + 7. Let v be -4 - -1 - (c + -16). What is the third derivative of v*b**6 - 2*b**6 - 4*b**2 - b**6 wrt b?
480*b**3
Let q(j) = 0 + j - 5*j**2 - 1 + 6*j**2 + 2. Let c(l) = -13*l**2 + 13*l + 2. Let o(s) = c(s) - 2*q(s). Find the second derivative of o(x) wrt x.
-30
Find the second derivative of -203*b - 135*b - 9*b - 348*b**4 - 73*b + 69*b wrt b.
-4176*b**2
Let c(b) be the second derivative of b**8/8 - b**7/21 - b**4/6 - b**3 - 46*b. Find the third derivative of c(a) wrt a.
840*a**3 - 120*a**2
Find the second derivative of -1480*s**3 + 2927*s**3 + s**2 - 1577*s**3 - 5*s - 6 wrt s.
-780*s + 2
Suppose -38 = -3*z - 8. What is the first derivative of 306*c - z*c**4 - 9*c**4 + 17 - 304*c wrt c?
-76*c**3 + 2
Let f(u) be the second derivative of -13*u**5/5 + 775*u**4/12 - 82*u - 1. Find the third derivative of f(m) wrt m.
-312
Let v(b) = 2*b**2 + 7*b - 4. Let u be v(-5). What is the second derivative of -2*s + 9 + u + s**4 - 20 wrt s?
12*s**2
Suppose -n + 13 + 0 = 0. Find the third derivative of -8*j**3 - 6*j**2 + j**3 - 3*j**3 + n*j**2 wrt j.
-60
Let a be 1/(2*(-1)/(-8)). Let l = -4 + a. Find the third derivative of -2*j**4 + 4*j**2 + l*j**2 - 12*j**2 wrt j.
-48*j
Let p = 68 - 66. Let a(d) = -d**2 - d - 1. Let u(g) = 18*g**3 + 2*g**2 + 2*g + 11. Let j(v) = p*a(v) + u(v). Find the first derivative of j(n) wrt n.
54*n**2
Let w(u) = 111*u**3 - 4*u**2 - 4*u + 93. Let m(o) = -222*o**3 + 9*o**2 + 9*o - 188. Let t(c) = -4*m(c) - 9*w(c). Differentiate t(a) with respect to a.
-333*a**2
Let w(y) be the first derivative of 173*y**6/6 - y**4/2 - 54*y**2 + y - 329. What is the second derivative of w(h) wrt h?
3460*h**3 - 12*h
Let q = -3 - -12. Suppose q*t - 6 = 6*t. What is the third derivative of 10*a**t + 0*a**5 + 7*a**5 - 5*a**5 wrt a?
120*a**2
Let j = 21 - 9. What is the first derivative of 4 - n**3 - 1 - j*n**3 wrt n?
-39*n**2
What is the first derivative of -106*s**3 + 57*s**2 - 30*s**2 + 438 + 374*s**3 - 27*s**2 wrt s?
804*s**2
Let c(a) = 83*a**2 - 10*a + 27. Let o(w) = 4*w + 6*w - 16*w + 42*w**2 + 13. Let b(i) = -3*c(i) + 5*o(i). Find the first derivative of b(l) wrt l.
-78*l
Suppose 0*i - 4*i + 2*c = -14, 0 = -4*i + 4*c + 12. Suppose 0 = -36*j + 31*j + 20. Find the first derivative of -7 - j*y**i + 4*y**2 + 10 - 4*y**2 wrt y.
-16*y**3
Suppose -5*i - 2*x = -19, i + x + 48 = 53. Let f(g) be the first derivative of 0*g**i + 9*g + 0*g**2 - 1/2*g**4 + 9. Differentiate f(c) with respect to c.
-6*c**2
Let u(j) be the third derivative of -j**9/504 + 5*j**8/84 - 137*j**5/60 - 43*j**2 - 1. What is the third derivative of u(i) wrt i?
-120*i**3 + 1200*i**2
Let s(z) = -1266*z**3 - 10*z**2 + 9*z + 82. Let a(t) = -633*t**3 - 4*t**2 + 4*t + 41. Let x(g) = -9*a(g) + 4*s(g). What is the third derivative of x(b) wrt b?
3798
Let f be -7*(-9)/63 + 2. Let g(d) be the first derivative of -5 + 0*d + 0*d**4 - f*d**2 + 0*d**3 - 2/5*d**5. What is the second derivative of g(k) wrt k?
-24*k**2
Let b = 1336 + -1336. Let j(q) be the first derivative of b*q**2 + 7/3*q**3 - 7*q - 9. Find the first derivative of j(h) wrt h.
14*h
Let x(s) = -23*s - 24. Let g be x(-4). What is the second derivative of g*a**2 - 68*a**2 - a**4 - 6*a - 8*a**4 wrt a?
-108*a**2
Let w(h) = h**3 - 9*h**2 + 12*h + 11. Let f be w(10). Find the second derivative of -f*g**3 + 2*g + g**4 + 231*g**3 wrt g.
12*g**2
Find the first derivative of y**3 - 8*y + 31*y - 3*y**3 + y + 5 wrt y.
-6*y**2 + 24
Let x(m) be the third derivative of -47/120*m**6 + 0 + 45*m**2 + 0*m**5 - 7/6*m**3 + 0*m**4 + 0*m. Find the first derivative of x(q) wrt q.
-141*q**2
Let r(l) = l**3 - 8*l**2 + 9*l - 10. Suppose 43 - 8 = 5*s. Let b be r(s). What is the third derivative of y**2 - b*y**3 - 3*y**2 + y**2 wrt y?
-24
Let g(p) = p**2 - p. Let j(u) = 50*u**3 - 7*u**2 + 5*u - 12. Let z = -141 - -142. Let t(q) = z*j(q) + 5*g(q). What is the third derivative of t(w) wrt w?
300
What is the first derivative of 95*p**4 + p**3 - 102 - 7 - p**3 wrt p?
380*p**3
Let q = -129 + 132. Let f(w) be the third derivative of 0 + 0*w - 1/4*w**4 - w**2 - 2/3*w**q. Differentiate f(a) with respect to a.
-6
Let o(f) be the first derivative of 5/4*f**4 + 0*f**3 + 0*f + 1/2*f**2 - 14. Find the second derivative of o(j) wrt j.
30*j
Let g(a) be the first derivative of 0*a - 29/2*a**2 + 22/3*a**3 + 19 - 1/4*a**4. Find the second derivative of g(t) wrt t.
-6*t + 44
Let y(l) be the first derivative of -17/2*l**2 + 8*l - 22. Differentiate y(w) wrt w.
-17
Let a = -37 - -46. Suppose 5*i = a*i. Find the third derivative of i*p**3 - 25*p**2 - p**3 + 31*p**2 wrt p.
-6
Let z(m) be the first derivative of -20*m**5 + 11*m**3/3 - 142. Find the third derivative of z(p) wrt p.
-2400*p
Let i(m) = -62*m**3 + m**2 - 73. Let b(k) = -k**2 - 2. Let g(o) = -b(o) - i(o). What is the derivative of g(t) wrt t?
186*t**2
Let h(p) = 13*p**2 - p. Let q(f) = f**2. Suppose -5*d = -4*t + 97, 4*d + 53 = 3*t - 25. Let s(m) = d*q(m) + 3*h(m). Find the second derivative of s(i) wrt i.
36
Find the second derivative of 64*k**3 - 61*k**3 + 75*k**3 - 61*k wrt k.
468*k
What is the first derivative of -698 + f + 16*f**3 - f + 1170 wrt f?
48*f**2
What is the second derivative of -28*i**4 + 62*i**4 - 58*i**4 + 14*i + 2*i**3 + 2 wrt i?
-288*i**2 + 12*i
Let n(q) be the second derivative of -q**7/1260 + q**6/180 + q**4/12 + 13*q. Let b(d) be the third derivative of n(d). Find the second derivative of b(m) wrt m.
-4
Let l be -3 + (-28)/(-8) - 87/(-6). What is the first derivative of -l*u**2 + 0*u + 0*u - 4 + 16 wrt u?
-30*u
Let y = 20 - 20. Let m = y + 4. What is the first derivative of 3*g**m - 4 + g**4 + 2*g**4 wrt g?
24*g**3
What is the derivative of 728*k**2 - 113*k**3 - 728*k**2 - 119 wrt k?
-339*k**2
Let g(h) be the first derivative of h**4/2 + 46*h**3/3 + 17*h**2/2 + 60. Find the second derivative of g(l) wrt l.
12*l + 92
Find the first derivative of 189*b**3 + 283*b**4 + 541 - 189*b**3 wrt b.
1132*b**3
Let b(g) = -g**3 + 20*g**2 - 2*g + 58. Let p(h) = -h**3 - h**2 + 1. Let a(o) = b(o) - 3*p(o). What is the second derivative of a(r) wrt r?
12*r + 46
Find the second derivative of 35*h**5 + 60*h**5 - 6 - h**4 - 4*h + 8*h**5 + h**4 wrt h.
2060*h**3
Suppose 6 = l - 15. Suppose -3*r + l = -3*b, 3*b + 4 = -4*r - b. Find the second derivative of 26*c + c**r - 18*c - 15*c wrt c.
6*c
Let v(d) = d**2 - 43*d - 86. Let i be v(-2). Let q(s) be the second derivative of 4*s**2 + 0*s**3 - 1/6*s**4 + 0 - i*s. Differentiate q(b) with respect to b.
-4*b
Let a(q) be the second derivative of -11*q**5/10 + 19*q**4/12 + 37*q. Find the third derivative of a(l) wrt l.
-132
Let b(u) be the second derivative of -5*u + 0 - 2/3*u**3 + 2*u**2. Differentiate b(v) wrt v.
-4
Suppose 0 = 2*j + 2 - 42. What is the third derivative of 0*q**2 + 4*q**2 - j*q**2 + 9*q**6 wrt q?
1080*q**3
Let o(c) be the second derivative of 5*c**8/84 - 11*c**4/12 - 16*c**2 - 4*c. Let u(y) be the first derivative of o(y). Find the second derivative of u(f) wrt f.
400*f**3
Let d be 0 - (14/(-2) + 2). Let r(q) = 15*q. Let k be r(1). Find the second derivative of -f**5 - 4*f**5 - 6*f + k*f**d wrt f.
200*f**3
What is the third derivative of -37 + 15 + 120*n**3 + 17*n**2 - 343*n**3 + 23 wrt n?
-1338
Let d(w) be the third derivative of -2*w**6/15 + 5*w**4/24 + 35*w**3/2 + 4*w**2 - 2*w. D | {
"pile_set_name": "DM Mathematics"
} |
-5*i - a, -i + 3*a = -71 for i.
-4
Solve -3*b - 34 = -2*o, -534*b + 535*b - 62 = -6*o for o.
11
Solve -196 = -4*b - 53*m, 5*m + 0*m - 16 = -b for b.
-4
Solve -603*k + 605*k - 15 = -3*v, 3*v - 15 = 0 for k.
0
Solve -77964*l + 77963*l - 5*v = 8, -4*v = -3*l + 14 for l.
2
Solve m = 16*r - 20*r - 7, 4*r - 8 = -4*m for m.
5
Solve -5*o - 18*k = -15*k + 1, 63*o - 5*k + 141 = 0 for o.
-2
Solve -109*a + 22 = -114*a + 4*w, -27 = -9*w for a.
-2
Solve -1139 = -3*m + 2*q - 1141, m - 4 = 3*q for m.
-2
Solve 0 = 6*g - 4*n - 18 + 8, 5*g = -4*n + 45 for g.
5
Solve -2*v - 18 = 5*g, -3*g + 845 - 859 = 2*v for v.
-4
Solve -h - 5*n - 1 = 0, 5*h = -5*n - 1082 + 1097 for h.
4
Solve -4*g + 16 = 4*l, 36*g + 2*l - 13 = 39*g for g.
-1
Solve -4*n = 136*r - 139*r + 2, 4*r = -3*n + 36 for r.
6
Solve 2*l - 236*a = -234*a - 6, 0 = -l - a - 7 for l.
-5
Solve -u + 106 = 13*y, 4*y = -30*u + 27*u + 38 for u.
2
Solve 5*f + 3*n = 4, -46129*f = -46125*f + 2*n for f.
-4
Solve i - 837*h + 833*h - 16 = 0, 0 = -4*i + 4*h + 4 for i.
-4
Solve 42 - 22 = -4*v + 4*w, 0 = -5*v - 4*w + 29 for v.
1
Solve -5*b + 0*b = -15*f + 170, -b - 12 = 303*f - 304*f for f.
11
Solve 14*t + 11 = -3*z + 10*t, 0 = 2*z + t - 1 for z.
3
Solve r - 27 = -5*z, -r + 57 = -867*z + 878*z for z.
5
Solve -t = -7*x + 2*x - 29, x + 2*t + 8 = 0 for x.
-6
Solve g = -3*f - 27, -4*g - 460 = 4*f - 424 for f.
-9
Solve -t = 5*k - 24, t + 71*k = 73*k - 4 for t.
4
Solve -v + 3*g = -3, 34*g = 30*g + 12 for v.
12
Solve a + 57 - 71 = -g, -30 = 5*g - 5*a for g.
4
Solve 4*a - 20 = -6*q, -q + 10 = 5*a - 15 for a.
5
Solve 240*r - 244*r - 12 = 4*c, 5*c - 5 = 5*r for r.
-2
Solve 3*o - 21 = -g, -61*g + 57*g + 70 = -2*o for g.
18
Solve -78 = 2*z + h - 75, 5*h - 15 = 5*z for z.
-2
Solve -8*w - 12 = -5*w - v, 8 = 2*w - 6*v for w.
-5
Solve 4*y + 5*c - 239 = -226, 1 = 2*y - 3*c for y.
2
Solve -5*m + 19 = h, 6*h - m - 4*m = 44 for h.
9
Solve 0 = 2*r - 5*u - 5, -5*r - 4*u - 24 = -53 for r.
5
Solve -2*a - 27 = -5*x, -21 = a + 22*x - 26*x for a.
-1
Solve -43*l + 36 = 4*f - 41*l, 6*f - 68 = -4*l for f.
2
Solve -l + 3*r + 547 = 553, -r - 12 = -5*l for l.
3
Solve -8 = 4*d - 4*u, 49*u + 1 = -2*d + 50*u for d.
1
Solve -p + 5*n - 5 + 25 = 0, -35 = -4*p + 5*n for p.
5
Solve 2*u + 60*m + 54*m = 109*m - 7, -5*u + 6*m + 1 = 0 for u.
-1
Solve -7*b - 3*n + 6890 = 6947, 0 = -b + 3*n + 9 for b.
-6
Solve 4*s - 5*m + 85 - 44 = 0, -5*s - 3*m = -32 for s.
1
Solve 3*l - g = 4, 705*l + 2*g + 2 = 709*l for l.
3
Solve o + 692*j - 688*j = 11, -2*o = -3*j for o.
3
Solve 7*q - 3*h + 16 = 12*q, 2*q = 18*h + 64 for q.
5
Solve -3*b - 1492*y = -1494*y - 10, 6*y = 3*b - 18 for b.
2
Solve -4*s - 3259*y = -3265*y - 42, -5*s + 5*y = -45 for s.
6
Solve -3*t + 36 - 48 = 3*j, 5*j = -4*t - 19 for t.
-1
Solve -4*p - 14 = -30*f, 117*f = -4*p + 122*f + 11 for p.
4
Solve -4*t + 8*p + 28 = 0, -t - 29*p = -28*p + 8 for t.
-3
Solve -7 = -2*k + 7*p, 4*p + 17 = -4*k + 13 for k.
0
Solve 12 = 4*q + 4*l, 2*q - 183 = -5*l - 153 for q.
-5
Solve a = 5*s + 15, 2784*s + 28 = 2780*s + 4*a for s.
-2
Solve 3*f + 9*b - 104 = -131, 3 = 5*f - b for f.
0
Solve -41 + 26 = -5*y, -5*g - 5*y = -10 for g.
-1
Solve -36 = 7*a - 3*k, 21 = -a - a + 3*k for a.
-3
Solve 0 = -5*r - b - 17, -42*r + 49*r + 27 = -3*b for r.
-3
Solve -2*j = -3*v + 1, 2 = 2*v - 319*j + 317*j for v.
-1
Solve -4*c - 13 = -0*z - z, -3*z - 1 = -c - 7 for z.
1
Solve 3*h + 11 - 29 = -3*n, -4*h = -21*n - 24 for n.
0
Solve -3*s + 1276 = 2*g + 1279, 5 = 5*s + 5*g for s.
-5
Solve 81*l - 78*l = 12, 0 = 2*u - 3*l + 2 for u.
5
Solve 5*g + 8 = -2*l, 5*l + 533*g + 20 = 538*g for l.
-4
Solve -3*a = 5*u + 6, -6896*u + 2*a = -6895*u - 17 for u.
3
Solve -118*f = -120*f + 3*h - 14, 5*f + 30 = 5*h for f.
-4
Solve 5*f - 616*u = -621*u + 10, 6*f = -5*u + 11 for f.
1
Solve 0 = -m - 2*g + 2, -5*g = -4*m + 1464 - 1482 for m.
-2
Solve -101*a + 102*a + 1 = 4*w, -2*w - 4*a = 22 for w.
-1
Solve 0 = 2*m + p + 2 + 11 + 2, 2*m + 6*p = -70 for m.
-2
Solve 38 = -4*d - 2*j, 5*j + 116 = 22*d - 35*d for d.
-7
Solve 8 = -4*o - 2*d, 101*o + 16 = 99*o + 2*d for o.
-4
Solve -5*s + 4 = 3*p, p + 4*s + 476 = 475 for p.
3
Solve -2*l + 5*p - 514 + 518 = 0, 3*l + 15 = -3*p for l.
-3
Solve 100*k - 7*p - 38 = 103*k, 3*k + 23 = -4*p for k.
-1
Solve 0 = -1289*z + 1290*z - 3*r + 9, -2*r = -8 for z.
3
Solve -15 = -3*n + 5*r + 2, 5*r = -n - 21 for n.
-1
Solve -5*b = -4*n - 24, 733*n - 729*n = 3*b - 16 for b.
4
Solve -8*v = -4*r - 6*v + 54, 0 = v - 3*v + 6 for r.
15
Solve 0 = -n + 2*c - 4, 1356*c = -5*n + 1355*c + 2 for n.
0
Solve 5*c - 3*w = -3, 3*w = -56*c + 58*c - 6 for c.
-3
Solve 2*r = 5*d - 13, -22*d - 7 = -4*r - 23*d for r.
1
Solve 0 = 5*q + 5*f + 40, -5*f = -28*q + 24*q + 13 for q.
-3
Solve 2*k = 1013*x - 1017*x + 4, -4*x = 3*k - 2 for k.
-2
Solve -3*v - 416 = -3*o - 401, 3*o = -4*v + 22 for o.
6
Solve 4*l + 50 = 5*h, 143*l - 144*l = -2*h + 17 for h.
6
Solve -2*o - 4 = 11*v - 15*v, 3*o - 3 = 3*v for o.
4
Solve 5*q - 13 = -2*l, -376*q - 38 = -4*l - 374*q for l.
9
Solve -u = 2*c + 8, -5*u - 21 - 3 = 2*c for u.
-4
Solve 0 = d + 4*f + 74, 2*f = 2144*d - 2150*d - 26 for d.
2
Solve 0 = 2*m + 4*g - 2, 3*m + 3*g + 37 = 34 for m.
-3
Solve -13*k - 11 = 4*h - 18, 6 = 2*h + 4*k for h.
5
Solve -60 = -k - g - 57, -4*k + 14 = 2*g for k.
4
Solve -w + 4*t = 25, -3*w - 31*t - 15 = -33*t for w.
-1
Solve 10 = h + q, -7*h - 2*q + 23 = -72 for h.
15
Solve 0 = -5*s - v - 21, 4*v - 7 = -3*s - 6 for s.
-5
Solve -55 = 5*v - 2*k, 2*v + 5*k = -v - 33 for v.
-11
Solve -7 = -713*l + 715*l + h, 0 = 5*l + 2*h + 15 for l.
-1
Solve -3*k = -2*l + 19, -2431*k = 3*l - 2430*k - 1 for l.
2
Solve 3*r = -4*z + 77, -4*r = -4407*z + 4402*z + 73 for r.
3
Solve 2*s - w = -96 + 74, 0 = -5*s + 8*w - 132 for s.
-4
Solve -5*v = -34*a + 33*a - 26, -20 = 4*a + v for a.
-6
Solve 14094*r - 14102*r + 8 = -4*c, 2 = -c - r for c.
-2
Solve 45 = -3*d + 51, d = -2*t + 2*d for t.
1
Solve 4 = g + 2*w, 13*g - 15*g - 39*w + 113 = 0 for g.
-2
Solve 381*s - 368*s - 221 = -2*g, -7*g - 51 = -3*s for s.
17
Solve 0 = -2*j - 2*c + 36, -4*j + c - 401 = -448 for j.
13
Solve 5*t + 77 = 3*n, 129*n = 2*t + 126*n + 29 for t.
-16
Solve 2*a - 4*g + 16 = 0, -48*a - 4*g = -43*a + 12 for a.
-4
Solve -35 = -5*c - 3*o, -7877*c + 15 = -7872*c - o for c.
4
Solve -4*c + 5*b - 41 = 0, -6*c - 44 = 5*b + 5 for c.
-9
Solve 1048*y - 1053*y + 4*w = -9, 2*y - 7 = 5*w for y.
1
Solve -22 = -3*v + k, -26*v = -23*v - 3*k - 36 for v.
5
Solve 13*r - 6*a + 5*a - 3 = 0, -56 = -5*r + 3*a - 47 for r.
0
Solve 2 = 11*y - 13*r + 8*r, 3*y + 2*r = -3*y - 32 for y.
-3
Solve -5*m + 27 = 3*i, 0 = -10*i + 12*i + 2*m - 10 for i.
-1
Solve 1481*g = 1480*g - 5*y + 10, 28 = -5*g + y for g.
-5
Solve -23 = -4*d + 36*a - 39*a, -2*a = -5*d for d.
2
Solve z = 4*b + 1, -2 = -2*z + 39*b - 38*b for z.
1
Solve -9*i + 4*i - 9*m = -134, -52 = 2*i - 3*m for i.
-2
Solve 19*l + 20 = 17*l + 2*z, -5*l + 3*z - 40 = 0 for l.
-5
Solve -z + w + w = -7, -w + 205 = 204 for z.
9
Solve -3*u + 19 = 5*n, -1784*u + n + 1 = -1783*u for u.
3
Solve 18 = -2*j + n, -250*j + 5*n - 60 = -246*j for j.
-5
Solve -84 = 12*k - 2*h, 2*h + 43 - 29 = -2*k for k.
-7
Solve 559*d + 4*w + 8 = 561*d, 0 = -w for d.
4
Solve 0 = -3*o - 2*f - 37, 4*o - 3*o + 4*f = -29 for o.
-9
Solve -4*s = -4*p - 44, -5*s = -4*p + 1392 - 1446 for s.
10
Solve -2*i - 4*r = 20, 2*r - 13 + 11 = -4*i for i.
4
Solve 3*j + 59 = -4*p - 10*p, 4*p + 3*j = -19 for p.
-4
Solve 197 = o + 203, -c - 21 = 4*o for c.
3
Solve -2*z - 29 = -1059*b + 1060*b, 4*z + 28 = 4*b for b.
-5
Solve b = 325*c - 321*c - 10, c = -2*b + 16 for b.
6
Solve 156 = -18*x + 14*b - 11*b, -2*x + 4*b - 32 = 0 for x.
-8
Solve -3*t + 17 = -2*a, -226*t - 23 = -231*t + 2*a for t.
3
Solve -3*t + 35 = -2*x, 132*t = 95*t - 2*x + 485 for t.
13
Solve 4*p = 2*s + 26, -3*p - 37*s = -33*s + 8 for p.
4
Solve 2*m + 3*q + 17 = 0, 0 = -3*m + 1624*q - 1626*q - 8 for m.
2
Solve -41*o = -45*o + 5*w + 36, -16 = -2*o + 2*w for o.
4
Solve 1302*n = 4*w + 1300*n - 12, 2*w = 2*n + 2 for w.
5
Solve -3*r + s - 68 = -72, r + 5*s = 4*s for r.
1
Solve 0 = y - 4*n - 8, -50*y = -51*y + n + 5 for y.
4
Solve -l - 3 = 0, 16*l - 11*l = -3*u - 12 for u.
1
Solve -5*m - r - 186 = -191, m + 0*m - 2*r - 1 = 0 for m.
1
Solve -4*w - 24 = -4*u, 2*u + 100 = -5*w + 98 for u.
4
Solve 4*w - 2*j = -10, -7 = -4*w - j - 26 for w.
-4
Solve -3*t + t - 14 = z, | {
"pile_set_name": "DM Mathematics"
} |
What are the prime factors of 8630?
2, 5, 863
What are the prime factors of 4272?
2, 3, 89
List the prime factors of 8494.
2, 31, 137
List the prime factors of 33491.
107, 313
List the prime factors of 6854.
2, 23, 149
What are the prime factors of 17659?
17659
What are the prime factors of 54896?
2, 47, 73
List the prime factors of 2294.
2, 31, 37
What are the prime factors of 573?
3, 191
List the prime factors of 3556.
2, 7, 127
What are the prime factors of 18100?
2, 5, 181
List the prime factors of 8419.
8419
What are the prime factors of 15933?
3, 47, 113
What are the prime factors of 11030?
2, 5, 1103
List the prime factors of 57130.
2, 5, 29, 197
What are the prime factors of 27826?
2, 13913
List the prime factors of 3969.
3, 7
List the prime factors of 7299.
3, 811
What are the prime factors of 8521?
8521
What are the prime factors of 6734?
2, 7, 13, 37
What are the prime factors of 2717?
11, 13, 19
List the prime factors of 5170.
2, 5, 11, 47
List the prime factors of 44545.
5, 59, 151
What are the prime factors of 1755?
3, 5, 13
What are the prime factors of 4231?
4231
What are the prime factors of 22486?
2, 11243
What are the prime factors of 10605?
3, 5, 7, 101
List the prime factors of 9105.
3, 5, 607
What are the prime factors of 8200?
2, 5, 41
List the prime factors of 65.
5, 13
List the prime factors of 181998.
2, 3, 10111
List the prime factors of 9619.
9619
List the prime factors of 792.
2, 3, 11
What are the prime factors of 520?
2, 5, 13
List the prime factors of 54186.
2, 3, 11, 821
List the prime factors of 159939.
3, 13, 1367
List the prime factors of 174581.
11, 59, 269
What are the prime factors of 2849?
7, 11, 37
What are the prime factors of 505?
5, 101
What are the prime factors of 621?
3, 23
List the prime factors of 1319.
1319
What are the prime factors of 6952?
2, 11, 79
What are the prime factors of 4836?
2, 3, 13, 31
List the prime factors of 83324.
2, 37, 563
List the prime factors of 507.
3, 13
List the prime factors of 3746.
2, 1873
List the prime factors of 1753.
1753
What are the prime factors of 29604?
2, 3, 2467
What are the prime factors of 551?
19, 29
List the prime factors of 22.
2, 11
What are the prime factors of 3832?
2, 479
List the prime factors of 2234.
2, 1117
List the prime factors of 21971.
127, 173
List the prime factors of 871.
13, 67
List the prime factors of 1830.
2, 3, 5, 61
List the prime factors of 28090.
2, 5, 53
What are the prime factors of 59971?
59971
List the prime factors of 2158.
2, 13, 83
List the prime factors of 8440.
2, 5, 211
What are the prime factors of 3011?
3011
List the prime factors of 1412.
2, 353
List the prime factors of 162489.
3, 54163
What are the prime factors of 16139?
16139
List the prime factors of 111.
3, 37
List the prime factors of 2198.
2, 7, 157
List the prime factors of 78478.
2, 39239
List the prime factors of 67634.
2, 7, 4831
What are the prime factors of 700?
2, 5, 7
List the prime factors of 4341.
3, 1447
What are the prime factors of 1667?
1667
What are the prime factors of 13435?
5, 2687
What are the prime factors of 34892?
2, 11, 13, 61
What are the prime factors of 4474?
2, 2237
What are the prime factors of 5557?
5557
What are the prime factors of 790?
2, 5, 79
What are the prime factors of 427?
7, 61
List the prime factors of 12642.
2, 3, 7, 43
List the prime factors of 642.
2, 3, 107
List the prime factors of 6876.
2, 3, 191
List the prime factors of 24543.
3, 101
What are the prime factors of 54494?
2, 11, 2477
What are the prime factors of 107675?
5, 59, 73
What are the prime factors of 1378?
2, 13, 53
What are the prime factors of 13980?
2, 3, 5, 233
List the prime factors of 28255.
5, 5651
What are the prime factors of 4315?
5, 863
What are the prime factors of 4932?
2, 3, 137
List the prime factors of 2062.
2, 1031
List the prime factors of 12894.
2, 3, 7, 307
List the prime factors of 41260.
2, 5, 2063
What are the prime factors of 2785?
5, 557
List the prime factors of 39942.
2, 3, 7, 317
List the prime factors of 3039.
3, 1013
List the prime factors of 54147.
3, 18049
What are the prime factors of 4404?
2, 3, 367
List the prime factors of 1505.
5, 7, 43
List the prime factors of 1108.
2, 277
List the prime factors of 336.
2, 3, 7
What are the prime factors of 750?
2, 3, 5
What are the prime factors of 2049?
3, 683
List the prime factors of 38137.
11, 3467
List the prime factors of 2636.
2, 659
List the prime factors of 3253.
3253
What are the prime factors of 1521?
3, 13
List the prime factors of 145345.
5, 41, 709
What are the prime factors of 3452?
2, 863
List the prime factors of 4286.
2, 2143
What are the prime factors of 6358?
2, 11, 17
List the prime factors of 3267.
3, 11
What are the prime factors of 57271?
57271
List the prime factors of 25702.
2, 71, 181
List the prime factors of 34546.
2, 23, 751
List the prime factors of 55516.
2, 13879
List the prime factors of 91938.
2, 3, 7, 11, 199
What are the prime factors of 9461?
9461
List the prime factors of 3036.
2, 3, 11, 23
List the prime factors of 1258.
2, 17, 37
List the prime factors of 1631.
7, 233
What are the prime factors of 11834?
2, 61, 97
List the prime factors of 36820.
2, 5, 7, 263
What are the prime factors of 17215?
5, 11, 313
What are the prime factors of 73911?
3, 71, 347
What are the prime factors of 1675?
5, 67
List the prime factors of 2478.
2, 3, 7, 59
What are the prime factors of 146724?
2, 3, 12227
What are the prime factors of 2603?
19, 137
What are the prime factors of 2823?
3, 941
List the prime factors of 1019.
1019
What are the prime factors of 94074?
2, 3, 15679
What are the prime factors of 1904?
2, 7, 17
What are the prime factors of 5828?
2, 31, 47
List the prime factors of 315.
3, 5, 7
List the prime factors of 3666.
2, 3, 13, 47
List the prime factors of 8546.
2, 4273
List the prime factors of 16353.
3, 23, 79
What are the prime factors of 1107?
3, 41
List the prime factors of 18856.
2, 2357
List the prime factors of 16384.
2
What are the prime factors of 1651?
13, 127
List the prime factors of 76829.
76829
List the prime factors of 504.
2, 3, 7
List the prime factors of 1994.
2, 997
What are the prime factors of 7004?
2, 17, 103
What are the prime factors of 2192?
2, 137
List the prime factors of 1755.
3, 5, 13
List the prime factors of 31247.
31247
What are the prime factors of 22772?
2, 5693
List the prime factors of 32841.
3, 41, 89
What are the prime factors of 149116?
2, 11, 3389
List the prime factors of 32593.
11, 2963
List the prime factors of 13592.
2, 1699
List the prime factors of 7090.
2, 5, 709
List the prime factors of 27878.
2, 53, 263
What are the prime factors of 2474?
2, 1237
What are the prime factors of 32350?
2, 5, 647
What are the prime factors of 132386?
2, 37, 1789
List the prime factors of 8344.
2, 7, 149
List the prime factors of 9798.
2, 3, 23, 71
List the prime factors of 2718.
2, 3, 151
What are the prime factors of 28206?
2, 3, 1567
List the prime factors of 182652.
2, 3, 31, 491
List the prime factors of 11046.
2, 3, 7, 263
What are the prime factors of 4887?
3, 181
What are the prime factors of 53195?
5, 10639
List the prime factors of 27720.
2, 3, 5, 7, 11
List the prime factors of 4688.
2, 293
List the prime factors of 10335.
3, 5, 13, 53
What are the prime factors of 131694?
2, 3, 47, 467
What are the prime factors of 81937?
81937
What are the prime factors of 3254?
2, 1627
List the prime factors of 68959.
11, 6269
List the prime factors of 2899.
13, 223
List the prime factors of 659.
659
What are the prime factors of 59485?
5, 11897
List the prime factors of 16475.
5, 659
What are the prime factors of 6901?
67, 103
What are the prime factors of 2010?
2, 3, 5, 67
What are the prime factors of 2725?
5, 109
List the prime factors of 1398.
2, 3, 233
What are the prime factors of 7419?
3, 2473
List the prime factors of 56442.
2, 3, 23, 409
List the prime factors of 9606.
2, 3, 1601
What are the prime factors of 21814?
2, 13, 839
What are the prime factors of 77895?
3, 5, 577
What are the prime factors of 24802?
2, 12401
List the prime factors of 722.
2, 19
List the prime factors of 51822.
2, 3, 2879
What are the prime factors of 26645?
5, 73
List the prime factors of 1377.
3, 17
List the prime factors o | {
"pile_set_name": "DM Mathematics"
} |
(k/(k**1*k))/k))*k)*k**8))**3 assuming k is positive.
k**60
Simplify (j*j/j**13*j*(j*j**12)/j*(j*j**(2/5))/j**(-1/7))**(16/5) assuming j is positive.
j**(1984/175)
Simplify (((c*c**(-7)/c)/(c**(2/7)*c))/(c**(-3/4)*c*(c/c**1)/c))**(-37) assuming c is positive.
c**(7807/28)
Simplify (y**(-35)/y*y/((y*y/(y**(-9/5)/y))/y))/((y**(-40)/y)/(y**16*y)) assuming y is positive.
y**(96/5)
Simplify (i/(i*i**22)*i**(4/15)*i*i*i**(-36)*i**37*i)**(-18) assuming i is positive.
i**(1596/5)
Simplify (w/w**35)**(1/16)/(w**(33/4)*w/w**(1/6)) assuming w is positive.
w**(-269/24)
Simplify (p**(-1/3)/(p**42*p))/((p*(p**(2/15)/p*p)/p)/p)**17 assuming p is positive.
p**(-143/5)
Simplify ((s/(s**(-8)*s))**(-22/5)*((s*s**(1/29)*s*s)/s)/s**(-5))**8 assuming s is positive.
s**(-32672/145)
Simplify (k*k/((k*k**(-1/9)*k*k)/k)*k/k**(1/6)*k*k/k**(-2/11)*k**(-1))/((k*(k**2/k)/k*k*k**(2/7))/(k**(2/11)*k**(-4)*k)) assuming k is positive.
k**(-4127/1386)
Simplify (w**(20/9)*w)/(w*w*w*w**(4/9)*w*w*w)*(w/(w*w/w**(7/5)*w*w*w*w)*w)**4 assuming w is positive.
w**(-613/45)
Simplify ((c**(-3/2))**(-7)*c/(c/(c**(-2/19)*c))*c**(-4)/c)**(-3/16) assuming c is positive.
c**(-729/608)
Simplify (((d*d**(1/5))/d)**(-6))**23/(d**8/(d*d*d*d**(-10)*d))**46 assuming d is positive.
d**(-3358/5)
Simplify ((y*(y/(y*y/((y*y/(y*(y**36*y)/y*y))/y)))/y)/(y*y**(4/33)))/(y**4*y)**(-40) assuming y is positive.
y**(5309/33)
Simplify ((o**(-2)*o)**(-5/6)/(o**(-11/4)/(o*o*(o*o*o**(-1/14)*o)/o)))**(-27/7) assuming o is positive.
o**(-5679/196)
Simplify ((j*j**(1/4))**(-45)/(j*j**(-1)*j**(-2/13)))/((j/(j/j**7)*j)/j**(-2/9))**(1/19) assuming j is positive.
j**(-502655/8892)
Simplify d**(-5)/d**4*((d**(1/7)*d)/d)/d**3*((d*d*d/(d*d/d**0*d)*d)/((d/((d/(d*d/(d**(-6)*d)))/d))/d))**(2/51) assuming d is positive.
d**(-1439/119)
Simplify (m*m/m**(-24)*m*m)/m**(-5/2)*(m/(m/m**(-5/13)))**48 assuming m is positive.
m**(313/26)
Simplify ((h/(h/h**(-1)))/h*((h/(h*h/h**(-7)*h))/h)/h)/(h*h*h*h**(-2)*h*h**4*h)*(h*h**(-8)*h*h/h**(1/7))/(h*h**(-1/3))**(1/2) assuming h is positive.
h**(-535/21)
Simplify (((d*d**1/d)/d)**(9/5))**29/((d**(-1/2))**(9/5)/(d**4*d**(-2/7)*d)) assuming d is positive.
d**(393/70)
Simplify (c/((c**(-1/7)*c*c)/c)*c**41/c)/(c/(c/c**(-16)*c)*c)**(-1/11) assuming c is positive.
c**(2979/77)
Simplify ((a*a**4)/((a**(-6)*a)/a))**(-3/13)/((a/a**(-3/10))/(a**(6/11)/a))**(2/65) assuming a is positive.
a**(-9268/3575)
Simplify (t*t/t**(-3)*t*t*t/t**3)**47/((t**(2/7)*t)/((t/(t**(-1/3)/t)*t)/t))**(37/5) assuming t is positive.
t**(25489/105)
Simplify (a**(-6)/a*a/a**(-16)*((a*a**10*a)/a)/(a/a**14*a))**(-14/5) assuming a is positive.
a**(-462/5)
Simplify ((q**(-1/2))**0)**(1/57)/((q**(-7)*q*q**(5/6)*q)/(((q/(((q/((q/q**(4/7)*q*q)/q)*q)/q*q*q)/q))/q)/q**(-4/5))) assuming q is positive.
q**(923/210)
Simplify (t*t/(t**(1/3)*t*t*t)*t*t)**(2/47)/(t**(-2)*t)**(31/2)*((t**(1/6)*t*t)/t)/(t/t**(3/8)*t)*((t**(-1/3)/t)/t)**(-6/23) assuming t is positive.
t**(406769/25944)
Simplify (((g/(g/g**6)*g*g*g**(-6))/((g/g**(3/2))/((g/((g/(g*g**(2/9)*g))/g)*g*g)/g)))**(-8))**25 assuming g is positive.
g**(-12100/9)
Simplify ((q/(q/q**(-5/9)))**(2/25)/(q/(q/q**22))**(-15))**(-49) assuming q is positive.
q**(-727552/45)
Simplify (d*((d*d**(1/4))/d)/d*d**(-6)*d)**44*(d*d/(d*d*(d*d/(d*d/d**(1/3)))/d*d))**(4/27)/(d*(d/(d*d/d**1))/d*d)**(30/7) assuming d is positive.
d**(-120961/567)
Simplify (((i**(1/2))**(-23)*((i/(i*((i*i**(-2)/i)/i)/i*i*i))/i)**44)**(1/27))**(-2/3) assuming i is positive.
i**(-65/81)
Simplify ((m**(1/11)*m*m*m**2*m)/(m*m*m**4*m**6))/(m**(-2/7)/(m**6/m))**(-6/11) assuming m is positive.
m**(-754/77)
Simplify ((z*z*z*z**(1/7)*z*z)**50/(z**(3/13)*z/(z*z*(z*z*z/(z**(6/13)*z)*z*z)/z)*z))**(-34) assuming z is positive.
z**(-802740/91)
Simplify ((x*x**(-9)/x)/(x*x**(-5)*x))**(-28)/(x*x**9*x/x**(6/13))**(3/7) assuming x is positive.
x**(14877/91)
Simplify ((y*y**(2/7))**(6/7)/(y**5/y)**(-1/8))**(-30) assuming y is positive.
y**(-2355/49)
Simplify (g/(g*g**8*g*g)*g*g**(2/5)*g**0*(g**(-4)*g)/g)/(g**(1/6)/(g/(g*g**(-7))))**(1/6) assuming g is positive.
g**(-2063/180)
Simplify m**(1/2)/m**(-5)*(m**3/m)/m**(-6)*(m/(m/(m*m**3))*m**(-5/6))**48 assuming m is positive.
m**(331/2)
Simplify k/(k/(k/(k**6/k))*k)*k**(2/7)/k*(k/k**1)/k**(-4/5)*(k*k*k**(-1))**1/(k**0)**(2/161) assuming k is positive.
k**(-137/35)
Simplify (((p**20*p*p)/(p*p*p**(1/19)))/(p**(12/13)/p**(1/5)))**(-1/50) assuming p is positive.
p**(-11871/30875)
Simplify (z*z**(1/3)*z*z*z*z**(1/4))**(30/11)/((z**(1/2))**(-19)/(z*z**(-6)*z/(z/(z*z*z*(z/(z*z**(-5)))/z*z)))) assuming z is positive.
z**25
Simplify (z*z**0)**32*((z*z**1/z)/z)**24*(z**(2/17)*z**8)**(-1/5) assuming z is positive.
z**(2582/85)
Simplify (((n**5/n**(-4/5))**(-3/37))**(-43))**(5/7) assuming n is positive.
n**(3741/259)
Simplify (n*n**(-2/3)*n*n**(2/3)*n*(n**(-1)*n*n)**(2/25))/((n/((((n/n**(1/3))/n)/n)/n*n))**(-12)*(n**(-1/3))**(-3/28)) assuming n is positive.
n**(21731/700)
Simplify ((((r*r**(1/7))/r*r*r**(-7))/(((r*r*r**10)/r)/r*r*r**10*r))**21)**(-23) assuming r is positive.
r**13455
Simplify ((u**(-23)/u**0)/(u**(-24)/(u/(u**(2/43)/u*u))))**(3/49) assuming u is positive.
u**(36/301)
Simplify ((l*l**(-6/17)*l*l)/(l/(l**(2/19)*l))*(l*l**9)/l*l**6*l)**(-1/50) assuming l is positive.
l**(-6057/16150)
Simplify (u/u**(-27)*u/((u*u**(-41))/u*u)*u)/(u**(2/3)*u**(-7)/u) assuming u is positive.
u**(232/3)
Simplify (q**(2/3)/q**(-3/2))/(q/(q**(-1)/q))**(-2/43)*(q**(5/6)*q*q*q)/(q**(-5)*q)*q**(-2/23)*q*q*q/(q*q**6/q)*q*q assuming q is positive.
q**(8953/989)
Simplify (((l*((l/(l/(l*l**(-1/2)/l*l)))/l)/l*l)/l**(-2/5))/(l*l**(1/7)/l*l*l*l**(4/7)))/((l**(-1/5)/l)**35)**(-2/97) assuming l is positive.
l**(-18199/6790)
Simplify (a*a**(-4)/a*a)/(a*a**1)*a/a**4*a*a**4*((a**(-1/6)*a)/a*a**(-5)*a)/(a/a**(3/5)*a*a**(1/10)) assuming a is positive.
a**(-26/3)
Simplify (b*b**0)**(1/11)/((b**(4/9)*b*b)/b**(3/5))*((b**(1/3)/b)/b)**(-29)*b**(-3/2)/b*b**(-3/5) assuming b is positive.
b**(8609/198)
Simplify (z/(z**(-11)*z*z*z*z))**(-2/3)*(z/(z**(-1/31)/z))/(z/z**(40/7)) assuming z is positive.
z**(920/651)
Simplify (c/((c**(-5/3)/c)/c))**(17/3)*(c/c**23)**(2/41) assuming c is positive.
c**(9362/369)
Simplify ((z**4/z)**(-19)*z**12*z*z**10*z)**(1/11) assuming z is positive.
z**(-3)
Simplify (b**(2/55)*b*b*b*b**(-1/11))**(-9)/(b**6/(b**11/b))**(-1/81) assuming b is positive.
b**(-118318/4455)
Simplify ((l**(-6/5))**(20/11)*(l**11)**(-13/2))**(-20) assuming l is positive.
l**(16210/11)
Simplify (w*w**(-2/3))**(-26)*w**(2/7)/(w**(-1/11)/w)*((w/w**(-1/2))/w)**(-5/12)/((w**(1/2)*w)/(w/w**(-1/2))) assuming w is positive.
w**(-4619/616)
Simplify (d**(-9)/(d/d**(2/7)))/(d/d**(-3/4)*d**(6/7))*(((d**(-1/3)/d)/d)/(d/((d**(-2)/d)/d)))/(d/(d/(d*d/(d/d**(2/5))*d*d)))**(1/30) assuming d is positive.
d**(-41513/2100)
Simplify (n/(n**(2/7)/n))**16/(n**(3/4)/n*n*n**(-2/3)*n*n)*((n*n**4/n)/(n/((n*n/(n/n**(5/4))*n)/n)))**(-47) assuming n is positive.
n**(-9299/42)
Simplify (l**(-4)*l**(-1))/(l**(-2/9)/(((l**0*l)/l)/l))*(l**(-1/5))**(5/7)*l**(-2/3)/l*l*l**(-8) assuming l is positive.
l**(-919/63)
Simplify ((((b**4/b)/b**(-3))/(b**(2/5))**19)**(3/13))**(-2/11) assuming b is positive.
b**(48/715)
Simplify (r/r**(-1)*r*r/(r*r*r*r**(-7)/r*r)*r)/(r*r*(r/r**(-1))/r*r)**30*(r**(-1)*r)**(-6)/(r/r**(-2/7))**(-4/23) assuming r is positive.
r**(-17835/161)
Simplify (((r**(1/5)*r)/r)/(r/r**6))/(r**(2/11)*r/r**(3/8))*(((((r*r/(r*r/(r**0/r*r)))/r)/r)/r)**38)**50 assuming r is positive.
r**(-2506067/440)
Simplify ((v/(v/v**(-1/3)))/v**4*(v/(v**(3/5)/v))/v**6)/((v**(-3/4)/(v*v/(v*v**6/v)))/(v**(-2/5))**(-4)) assuming v is positive.
v**(-127/12)
Simplify (((t/(((t**(-5/6)*t*t)/t)/t*t))/t)**(-17)/(t/(t*t/(t/(t/(t*(t/t**8)/t)*t)))*t)**(2/7))**(23/2) assuming t is positive.
t**(4945/84)
Simplify ((i/(i/(i**(-4/9)/i)))/(i**(2/5)/i)*i**(-7)/i*i*i/i**(-1/30))**(-2) assuming i is positive.
i**(613/45)
Simplify ((n**(1/9)*n)/(n*n**1))**(1/10)*(n/(n/(n**(-4/3)/n)))/((n/(n*n**6*n))/n)*(n/n**(1/2))/n*n**5/n assuming n is positive.
n**(817/90)
Simplify ((r**(-10)/((r**(3/10)*r)/r)*r**(-10)/(r*r**(-3/5)/r*r))**43)**(-2/19) assuming r is positive.
r**(8901/95)
Simplify (((n*n**(1/4))/n**(-1/5))/(n**(-1/4)*n)**28)**(15/2) assuming n is positive.
n**(-1173/8)
Simplify (k**(3/5)/((k/((k/(k*( | {
"pile_set_name": "DM Mathematics"
} |
(26 - 5) + 26 + -40. Solve -2*x = 3*u + 19, -4*u + f - 27 = 0 for x.
-2
Let r(n) = n**3 - 9*n**2 + 7*n - 9. Let s be r(5). Let y be 1 + -1 + 1925/(-25). Let v = s - y. Solve d = -v*c + 10, -5*d - 13 + 3 = 0 for c.
4
Suppose 3087 = -700*g + 847*g. Suppose -2*o - 4*m + 26 = -4, -2*m = -3*o + 5. Suppose 0 = o*n - 2*n - 36. Solve 2*x + n = a + 5*x, -3*x + g = 4*a for a.
3
Suppose -5*x + 181*m - 176*m = -440, -5*m = -4*x + 357. Solve y = -x*u + 78*u - 17, 3*u + 15 = -3*y for u.
-3
Let n be 62/8 + -7 + 21/4. Let h be 7 - 0 - -1*(-7 + 6). Let m(q) = -3*q + 20. Let a be m(h). Solve 0 = -3*z - 0*z + o - 2, -4*o - n = a*z for z.
-1
Suppose 0 = n - 3*h - 5, 39*n = 34*n - 3*h + 7. Solve 3*l - a - 14 = 0, -24 = -6*l + n*l + 4*a for l.
4
Suppose -3*q - 30 = -90. Suppose -4*g + 0 = -q. Solve g*a + 2 = 4*u + 10, -2*u = -5*a + 4 for a.
0
Suppose 3*v + 12 - 18 = 2*x, -5*v + 5*x + 5 = 0. Solve 12 = -v*z + 2*p, p = -3*z + 12 - 21 for z.
-3
Let d(x) = 54*x**3 - x**2 - x + 1. Let c be d(1). Let w = c - 10. Let k = -40 + w. Solve m + 5*h + 15 = k*m, -h = -m for m.
-5
Let y(i) = i**2 + 438*i - 3110. Let c be y(7). Solve 4 = -z + 3*t, -c*t = -z - 7*t - 4 for z.
-4
Let y(k) be the first derivative of -7*k**2/2 + 18*k - 79. Let t be y(2). Solve -3*r = 2*v - 8, 4*v = -r - t - 0 for r.
4
Let h = 130 - 128. Let a be (15/(-3) + 15)*h. Solve r = 3*q + a, -3*q = r + 2*q + 20 for r.
5
Let f(m) = -5*m + 49. Let v(w) = -3*w + 24. Let t(z) = -2*f(z) + 5*v(z). Let d be t(4). Solve d*k - 3*u - 4 = 0, k + 0 + 1 = 3*u for k.
5
Suppose 6*g = 16*g - 590. Let h = 62 - g. Solve 0*b - 2*i + 6 = 2*b, b + h = 2*i for b.
1
Suppose 10*l = 2*n + 5*l - 14, 4*n + 5*l - 28 = 0. Let q(y) = -2*y**2 + 3*y + 1. Let f be q(4). Let w = -16 - f. Solve x = -3, -n*g + w*x = -2*g + 11 for g.
-4
Let o = -5 - -8. Let m be ((-6)/(-9))/(29/174). Solve p + 2*a = -5, 5*a = -m*p - o - 5 for p.
3
Let z = -299 - -304. Let c be (z/15)/(2/36). Solve 0 = s, y + 3*s + 2 = c*s for y.
-2
Suppose -2 + 7 = j. Let w = 159 + -147. Solve -4*l + 8 = 4*v, 6*v = -3*l + j*v + w for l.
5
Suppose 250 = a + 247. Solve 5 = -4*l + 6*l + 5*q, -a*l + 19 = -4*q for l.
5
Let q = 7520 + -7512. Solve 4*m = 2*f - 3*f - 18, 4*f = 4*m + q for f.
-2
Let l(i) = i**3 + 12*i**2 + 8*i - 37. Let x be l(-11). Let s be (4/x + 1)/1. Solve 5*g + 5 = 5*m, s*g + 3*m = 4*g + 3 for g.
0
Suppose -8*w + 304 = 48. Suppose -3*z = -5*y + 26 + 9, 3*y - w = 4*z. Solve -4*c - 14 = p - 2, -4*c - y*p - 12 = 0 for c.
-3
Let b = -8584 - -8591. Solve -4*r + 24 = 4*m, -1 = -2*m - r + b for m.
2
Suppose -h + 10 = 2*m + 11, 17 = m - 3*h. Suppose -5*s = -m*c - 27 + 14, 4*c + 3*s = 39. Solve -q + c = -3*y, -5*q + 6*y = 3*y + 6 for q.
-3
Let v(l) = 5*l + 32. Let y(o) = -15*o - 96. Let t(q) = 8*v(q) + 3*y(q). Let m be t(-7). Solve s - 7 = m*a, -2*s = -5*a - 11 + 1 for s.
-5
Suppose -419*n - 270*n + 1342 = -18*n. Let p(h) = -h**3 + 2*h**2 + 2*h - 1. Let a be p(2). Solve n*u + 15 = -4*y + a, u = -4*y - 10 for y.
-2
Let g(v) = -29*v - 1098. Let r be g(-38). Solve -5*d - 21 = w, r*d + w + 0*w = -16 for d.
-5
Let n(y) = -54*y + 346. Let i be n(6). Solve -21*d + i*d = 2*b, 2*d + 8 = -4*b for d.
-2
Let s = -288 - -312. Suppose 4*c - s = -0*c. Solve -j - 4*v + 5 = -c, -5*v + 18 = -3*j for j.
-1
Let n(f) = -f**2 - 10*f - 16. Suppose -15*h + 10*h - 45 = 0. Let u = 2 + h. Let i be n(u). Solve 0 = 2*t + c + 13, -i*c - 28 = 5*t + 17 for t.
-4
Suppose 3*v - 4*v - 3 = -4*g, 2*v - 20 = -5*g. Solve -f + 5*n = -13, g*n = -0 - 4 for f.
3
Let t be (1/4)/(18/(-504)). Let w be ((-1 - t) + -7)*3*-1. Solve -5*a - 4*y + 16 = -24, a - w*y + 11 = 0 for a.
4
Suppose 4*q - 2*q - 39 = 5*y, -5*y = 2*q + 11. Let p(j) = -5*j + 35. Let w be p(q). Solve w = 2*c + 5*z + 2, 4*z - 2 = -3*c - z for c.
4
Let q be 3 + -2 + -2 + 7. Let d be (1/((-4)/q))/(48/(-128)). Suppose -j = -5*r - 2 + 7, -28 = -d*j - 4*r. Solve j*p - u + 0*u = 30, -5*u = -p + 30 for p.
5
Let b = 10019 + -10019. Solve 5*x + b*w = -4*w + 14, 0 = -x + 3*w - 1 for x.
2
Suppose 4*s - 5*v + 7 = 0, s - 5*v + 11 = -2. Solve 4*j - 3*p = 1, 16*j - 12*j - s*p + 2 = 0 for j.
-2
Let d = 171 - 154. Let r be (d/2)/((-3)/(-6)). Solve 3*n + r = 2*w, 4*w - 4*n = 34 - 10 for w.
1
Let f be 0 - 1/1 - (2 + -35). Suppose 0 = 5*u - f + 12. Suppose y - 5*c + 3*c - 9 = 0, u*y - 5*c - 30 = 0. Solve y*j + 3*k + 9 + 15 = 0, 2*j + 12 = -2*k for j.
-3
Let d(m) = m**2 + 13*m - 37. Let g(a) = -a**2 - 11*a + 37. Let i(y) = 2*d(y) + 3*g(y). Let x be i(-10). Solve -5*l = -3*u + 12 + 10, -3*u + 2*l + x = 0 for u.
-1
Let b(l) = -l**3 + 4*l**2 + 20*l + 11. Let v be b(7). Suppose u = 3*y + 16, -3*u - 5*y + 5 = 13. Solve -10 = -2*k + u*g, 6 - 22 = v*k + 4*g for k.
-1
Suppose 0 = -g + 12*g - 198. Suppose -3*s + g = -81. Suppose 0 = -37*x + s*x. Solve 5*u = -5*c + 15, 4*u - 8 = -2*c - x for u.
1
Let i(v) be the second derivative of v**4/12 + 10*v**3/3 + 48*v**2 - 28*v. Let n be i(-12). Solve -x = -4*k + 5, 4 = 3*k - n*k - x for k.
1
Suppose 2*k = -5*i + 42, 8 = 4*k + 4. Let f(r) = -6*r**2 + 50*r - 11. Let g be f(i). Solve 3*j - 5*c - 16 = j, -g*j = -4*c - 23 for j.
3
Let g be 496/224 + 6/(-28). Solve 0 = g*s - 5*c - 18, 0*c - 6 = -2*s + 2*c for s.
-1
Suppose 5*q + 1131 = -19. Let d = 230 + q. Solve -3*m = -2*s - d*s, 0 = 4*m + 2*s for m.
0
Suppose -24 = 14*v - 18*v. Let n = v + -5. Suppose 3*m - 29 = -4*p, -2*m + p + 13 - n = 0. Solve -5*c + m = -y, -3*c + 0*c = y - 9 for y.
3
Suppose -13*r + 10*r + 9 = 0, 4*f - 3*r + 17 = 0. Let h be f + 4*35/20. Let y = 11 - -7. Solve 25 = -5*k, -7 - y = h*g + 5*k for g.
0
Let a(i) = -i - 33. Let n be a(-16). Let q(x) = -x**3 - 18*x**2 - 7*x + 172. Let o be q(n). Solve -2*j - 2*d = -4, -5*j + 3*d + o*d - 40 = 0 for j.
-3
Let b be -9 + 5 + 11 - 3. Let m(q) = -q**3 - 10*q + 11. Let j be m(1). Solve j = -4*d - d - 2*g - 7, b*d - 2*g + 2 = 0 for d.
-1
Suppose -3*a + 22 = 8*a. Let c be 7 + ((4 - 1)/(-3) - a). Solve 0*i + 2*b = -i + 7, -4*i = c*b - 8 for i.
-3
Let t be (-8 - -11)*(-80)/15. Let i be t/6*(-3 - (-6)/4). Solve -8 = -i*o, -5*k + 3*o = -0 + 1 for k.
1
Suppose 4*h = v - 6, -5*h - 30 = -2*v - 3*v. Let o be v*((-14)/(-4))/((-9)/(-18)). Let f = o - 17. Solve -w + 2 = -2*s, -3*w = 5*s + 2*w - f for s.
1
Let w(y) = 20*y + 209. Let j be w(-10). Suppose -17*n + 20*n - j = 0. Solve -2*h = -n*b + 2*b + 12, 3*h = -3*b - 9 for b.
2
Suppose -2*s + 10*j + 23 = 13*j, -5*s + 4*j = -69. Let q be -12*13/(-208) - s/(-4). Solve 4*l = -4*h - 7 - 9, -3*l = q*h + 17 for h.
-5
Let d = -121 + 125. Suppose m = -p + 11, -5*m + 67 = d*p + 7. Solve 0 = -i - 5*t + 6 + 7, 4*i + 2*t = m for i.
3
Let u(g) = -53*g**2 - 10*g. Let y be u(1). Let o = -61 - y. Solve -3*k + 9 = 3*c + 2*c, 0 = -o*c - 3*k + 9 for c.
0
Suppose -3 = 29*s - 65 - 54. Solve -3*l = -s*l + 4*u + 6, -2*u = -4*l - 4 for l.
-2
Suppose -77 + 663 = b + 2*o, -8 = 2*o. Suppose -b = 2*u - 598. Solve -3*w - 4*r + r = 15, 2*w = 2*r + u for w.
-2
Suppose 2*i - 4*j - 8 = -i, 0 = -5*i + 2*j + 18. Let m(w) = -w**2 - 47*w - 204. Let o be m(-5). Solve 2*p = -i*c - o, -c = 2*p + 2*p + 12 for c.
0
Let v(l) = l**2 - 5*l + 9. Let z be v(12). Suppose -100*r = -z*r - 14. Solve 9 = -r*h + 4*h - 3*g, 5*g = -h - 28 for h.
-3
Let d(y) be the second derivative of y**3/2 - 21*y**2 - 35*y. Let j be d(18). Solve 0 = 4*c - j, -3*l - c + 10 = 1 for l.
2
Let a be ((-16)/(-6))/(31 - (-1638)/(-54)). Solve 5*p - 17 = -3*y, a*y + 0*y + 5*p - 16 = 0 for y.
-1
Let f(k) = k**2 + 4*k. Let c be f(-5). Suppose 0 = -3*g - 1 + 31. Suppose g*n - 102 = 4*n. Solve -4*v = c*z - 3 + n, -z = -3*v - 1 for z.
-2
Suppose 2*k + 2 = 3*k. Let f = -51 + 403. Let g = f + -347. Solve -16 = -g*d - 2*v, 4*d + 6*v - 20 = k*v for d.
2
Let x(o) = -o**3 + 8*o**2 - 29*o + 115. Let n be x(6). Solve -4*r + n = s, -4*r = -10*s + 7*s + 7 for r.
2
Let k(p) = p**2 - 79*p + 1566. Let t be k(36). Solve -7*c = -5*c + 4*v + t, 0 = 4*c - 4*v + 12 for c.
-5
Let s(y) = 7 - 19084*y + 19087*y + 9. Let l be 5*(1/(-1) + 0). Let n be s(l). Solve g - 2*f + 4 = 0, -g = -0*f - f + n for g.
2
Let s(u) = -u**3 - 28*u**2 - 42*u - 17. Let j be s(-26). Let d = -272 - j. Solve -n - 4*n - 4*k = -15, -d*n + 15 = k for n.
3
Suppose 105*l - 100402 + 99982 = 0. Suppose -20 = 2*c - 4*c. Solve -3*p - 9 + 3 = 0, -3*p = -l*q + c for q.
1
Let s = 8 - 5. Let a(y) = 6*y - 70. Let b be a(12). Let j be 36/15 - (- | {
"pile_set_name": "DM Mathematics"
} |
= -o. Which is smaller: p or u?
u
Let x = 6365 + -6336.97. Let r = -28 + x. Is r greater than or equal to 17?
False
Let o = 3324 + -3323. Which is smaller: 954 or o?
o
Let z = 9209 + -9367. Do 8 and z have different values?
True
Suppose 0 = -3*w + 4*i - 14, 8 = -3*w - 2*i + 24. Suppose -259 - 96 = -5*u. Suppose -w*d + u + 81 = 0. Which is bigger: d or 77?
77
Let g be ((-2)/860)/((-1687)/3615). Is g < 0?
False
Let o be ((-5)/(-1))/(3/3). Let t(g) be the third derivative of -g**4/8 - 16*g**3/3 - 13*g**2. Let n be t(-12). Is n > o?
False
Let b = 256 - 256.248. Let s = -0.152 + b. Let z = -3 + 5. Is s less than z?
True
Suppose 24*w - 21*w - 5*s = -1917, -3*w = 5*s + 1887. Which is bigger: -631 or w?
-631
Suppose -28 + 7 = -3*o. Let a(h) = 2 + h + 6 - 1 + 4. Let i be a(-5). Is o >= i?
True
Let k = -11 + 12. Let y = 645.9 + -681. Let v = -7.9 + y. Are v and k non-equal?
True
Let g = -5888 - -4137. Is -1751 less than g?
False
Let t be (1215/(-18))/9*16/(-3). Let h be 2/3*(-228)/t. Which is smaller: h or -3?
h
Let r = -32544 - -32522. Is r less than -372?
False
Let j = -2/103299 - 203444/162902523. Is -1 at most as big as j?
True
Let q = 85/63 + -3214/2709. Is q < -1?
False
Let h(p) = -p**3 + p**2 + 3*p + 3. Let j be h(-2). Suppose 12*f + 3 = -j. Let q be (0 - (0 + f))/(37/(-1295)). Which is greater: q or -36?
q
Let n = 2193361/124 + -70879/4. Which is smaller: n or -32?
-32
Let n = 359 + -434. Let d(p) = -7*p + 17. Let c be d(13). Is c equal to n?
False
Let y = 1583 - 93395/59. Let s = 62.2 - 56.63. Let c = 3.57 - s. Which is smaller: y or c?
c
Suppose 0 = -37*v - 28 - 25 + 90. Which is bigger: v or 1/49?
v
Suppose 0 = 2*d - 5*m - 6551, 4*d - 10400 = -m + 2757. Let w = -16733/5 + d. Which is bigger: w or -59?
w
Let r(b) = -2*b**3 + 72*b**2 - 69*b - 39. Let h be r(35). Which is greater: h or -31?
h
Let q(r) = -2*r**2 + 2*r + 11. Let b(o) = 5*o**2 - 5*o - 33. Let i(s) = 4*b(s) + 11*q(s). Let f be i(10). Let c = 1721/9 + f. Is 0 less than or equal to c?
True
Let y be ((-46)/391 - (-85280)/68)*(-21)/9. Is y > 0.1?
False
Let y = -67 + 69. Let j = 1143/2 + -170303/298. Let v = 137/894 + j. Is y greater than v?
True
Let o = -46969 + 39914. Do o and -7055 have the same value?
True
Suppose 591*l - 196 = 593*l + 4*a, -5*l = a + 535. Which is smaller: l or -974/9?
-974/9
Let d(c) = -c**3 + 17*c**2 - 17*c + 16. Let l be d(16). Let t = 54419/44 - 1237. Are t and l equal?
False
Let b be (7/4)/((-22)/(-176)). Let j = 14 - b. Suppose 5*w + 9 - 19 = j. Which is bigger: w or 0?
w
Suppose 4*q - 17 = -3*b + 18, 0 = 2*b - 5*q - 8. Let r(n) = 3*n**2 - 7*n. Let c be r(b). Let f be c/22 + 6 + 0 + -6. Which is greater: f or 7?
f
Let g = 87.27 - 100.27. Which is smaller: g or -2/31?
g
Let s = -33376 - -20583. Let r = 102137/8 + s. Is -27 greater than or equal to r?
False
Suppose 0 = s + 5*n + 194, -n - 1197 = 4*s - 307. Which is smaller: -226 or s?
-226
Let k = 242/43 - -5/129. Suppose -254*q + 18*q - 235 = -1887. Is q < k?
False
Let z = -136 - -79. Let f = z + 55. Let h = f - -19. Is 2 > h?
False
Let o = 0.365 - 12.965. Let r = o - -13.6. Let q = -169 + 1517/9. Which is bigger: q or r?
r
Let g(i) = 2*i**3 - 41*i**2 + 203*i + 28. Let t be g(12). Suppose 3*o + 5*d = 7*d + 43, 3*d - 80 = -4*o. Let p = 0 + o. Are p and t nonequal?
True
Let f be -1*-16*(-17)/544. Which is greater: 2/329 or f?
2/329
Let r = 108.21 - 108. Let o = r + -0.03. Let p = 0 + 1/2. Which is bigger: p or o?
p
Let a be (-4)/30*(-3)/(-4). Suppose 2*g + 170 = -3*g - n, -3*g = 2*n + 102. Let m = g + 35. Is m less than a?
False
Suppose 16 = 90*q - 94*q. Let p be 3/(-4 + 1/(-71) - q). Which is smaller: -212 or p?
p
Let x(u) = 23*u - 150. Let b be x(6). Which is smaller: -196/15 or b?
-196/15
Let r = -9 + 15. Let m = 476 - 340. Suppose -m = -4*y - 136. Is r at most as big as y?
False
Let g be 205/(-3526)*(6/(-20))/((-15)/(-40)). Which is smaller: g or -4/7?
-4/7
Let j = 6929 + -11452. Is -1 at most as big as j?
False
Suppose 9*l - 2129 + 2138 = 0. Let n = 109.745 - -0.255. Which is greater: l or n?
n
Let v = 2168 + -2167.87. Let o = -5 - 0. Which is greater: o or v?
v
Let v = 11.1 + -0.1. Let r = 4 - v. Suppose 8*l + i = 3*l - 13, 5*i = -15. Which is greater: r or l?
l
Suppose -171*a + 173*a + s = 4, -3*a + 3*s - 3 = 0. Which is smaller: a or -112/275?
-112/275
Let w be (36/(-930))/(-5*4/3200). Which is greater: -0.1 or w?
w
Let h = -34252/7 - -4876. Which is greater: h or -0.8?
-0.8
Let a(h) = 118*h + 28. Let r be a(-3). Let f = r - -558. Is f >= 233?
False
Let a = -7656 + 7580. Is a >= -60?
False
Let o = -2267 - -2835. Which is greater: o or 570?
570
Let l = -160.014 + 160. Let q = -0.334 - l. Which is smaller: -2/5 or q?
-2/5
Let x = 8159 - 66453/8. Is -148 at most as big as x?
True
Let k = 2847 - 2849. Which is greater: k or -132/193?
-132/193
Let i = 1/88324 - 133981/132044380. Is i bigger than -1?
True
Let d = 197.7 - -810.3. Let r = d - 1008. Which is bigger: -6/49 or r?
r
Suppose 873*n - 121*n = 53*n - 3613131. Which is greater: -5171 or n?
n
Let f(m) = m**3 + 5*m**2 + 4*m - 2. Suppose 0 = -4*l - 3*s - 19, -4*s - 5 = 2*l + 7. Let v be f(l). Let j be ((-3)/(-30))/(-1)*v. Is -4 != j?
True
Suppose 0 = -z - 237 + 238, -3*s + 23 = 2*z. Is s greater than or equal to 497?
False
Suppose 0 = g - 6, 2156*y - 548 = 2160*y - 2*g. Which is bigger: -117 or y?
-117
Suppose 0 = 111*g - 3641 - 31879. Which is smaller: g or 4802/15?
g
Let o = 5.9 + 6.9. Let j = o - 10.6. Let g = -0.04 - 0.06. Is j greater than or equal to g?
True
Let j(q) be the third derivative of 0 + 0*q - 1/12*q**4 + 3/2*q**3 + 19*q**2. Let o be j(13). Which is greater: o or -82/5?
-82/5
Suppose 0 = 2*k - 4*k + 8. Suppose -16 + 0 = -k*t. Suppose -6*c + t*c = -c. Do c and -5 have different values?
True
Let h = 14595 + -14594.8. Which is greater: h or 88?
88
Let m = -66 + 76. Suppose 5*p + 2*t = -12, 0 = 2*p - t + m - 7. Let v be (270/(-234))/(p/12). Which is greater: 7 or v?
7
Let f be (4/(-4))/(1*-1). Let g = -127 + 187. Which is bigger: g or f?
g
Let l(w) = -w**3 - 23*w**2 + 26*w + 56. Let b be l(-24). Let t be 1/(-4) + 2/b. Let z = 2/281 - -833/1405. Is t bigger than z?
False
Let t = -25 - 60. Let z = 55 + t. Let p be (z + -6)*(-6)/(-4). Is -54 > p?
False
Let n = 19.35 - 0.05. Let i = 0.18893 + -0.08893. Which is bigger: n or i?
n
Let m be (0 + 1/2)/(88/(-352)). Suppose -2*b + 2 = -10. Suppose t + 2*u = b*u - 5, 11 = -t + u. Which is smaller: t or m?
t
Let n = 1293 - 1292.9477. Let y = -0.1523 + n. Which is bigger: -91 or y?
y
Suppose 2*q - 712 = -5*r, -2*q - 3*q - 452 = -3*r. Let c be (-78)/4*r/(-27). Let j = c + -42. Is 62 > j?
False
Let p = -16459 - -16479. Do -2/27 and p have the same value?
False
Let x be ((-42)/1015)/(-2)*(3 + 65/(-30)). Which is smaller: x or 17?
x
Let z be (3/(-9))/((-13)/78). Suppose 0*r + 3*r + n = 218, 0 = -5*r - z*n + 363. Which is smaller: 71 or r?
71
Let q be (-17)/(255/54) + 2/(-5). Let s(o) = -2*o - 10. Let b be s(q). Let l be (b/(-5))/((-2548)/(-70)). Which is greater: l or 0?
l
Let q = 2356 + -3027. Which is smaller: q or -3359/5?
-3359/5
Let t = -0.7068 + 48.7068. Is t at most as big as -93?
False
Let q = 388 - 388. Suppose q = 2*u + 5*x + 65, -1 = x - 2. Does u = 2/11?
False
Suppose 2*i - 32 = 6*i. Let q be (-1 - 1)/(i/(-396)). Let v(f) = 55*f + 231. Let n be v(-6). Is n equal to q?
True
Let u be -2 + 4 + (-4)/2. Let j(i) = -8*i - 42. Let s be j(-5). Let c be (1 - -3)/(-1) + s + 6. Does u = c?
True
Suppose 74*d = 63 + 85. Is d less than 60/41?
False
Let j be (-9)/(-6)*10/(-3). Let l be ((16 + 4)/j)/10. Suppose 0 = 56*d - 59*d - 39. Which is smaller: l or d?
d
Let j = 34 - 29. Suppose 3*w - 23 = 4*p, 5*p = -j*w - 4 - 16. Which is bigger: -4 or w?
w
Let n be (6/3)/(4*(-2)/252). Let t be (-33)/n*9 - 5. Which is smaller: t or -83?
-83
Let h be (-12)/66 + (-636)/(-3135). Which is smaller: -24/5 or h?
-24/5
Let o = 126 - 108.4. Let j = o + -294.6. Which is smaller: 1 or j?
j
Let z = -7800 - -7784. Suppose 11 - 30 = -o. Let c = o + -35. Is c equal to z?
True
Suppose -3*l + 3737 = 4*g - 4*l, 3*l = 21. Are g and 936 unequal?
False
Let r = -26 + 30. Suppose -r*g - 3*y + 13 = 0, -g = -4*g + y. Let t be (7 - (-14)/(-2))/(-1*g). Which is smaller: -2 or t?
-2
Let l be 2/(-6) - 476/(-51). Let z be ((-2)/(-2) + -2)/((-3)/l). | {
"pile_set_name": "DM Mathematics"
} |
**(-5/7)/k)*k)**36*((k/(k/k**(-1/2)))**(-1/8))**(-14/3) assuming k is positive.
k**(59999/168)
Simplify ((b*b/(b**(-10)*b)*b**(-1/4)*b)/(b**(2/37)*b*b*b*b**7*b))**(-43) assuming b is positive.
b**(-4429/148)
Simplify (((r/(r**(2/5)*r))**25)**(4/5))**(-3/4) assuming r is positive.
r**6
Simplify (z*z**(2/15)*z*z)**13*((z*z**16)/z)/(z/(z/(z*z**(-15/8)*z))) assuming z is positive.
z**(6793/120)
Simplify ((((m/((m**(-5/3)/m*m)/m))/m)/m)/((m**(1/5)*m)/m)*m**(4/7)/(m/m**(1/5)))**31 assuming m is positive.
m**(806/21)
Simplify ((m**(-7)*m*((m/m**(3/8))/m)/m*m)/(m**8/(m/(m*(m/(m*m**5*m*m))/m)*m)))/((m/m**1)**(-7/6)*((m**(2/33)*m)/m)/m*m**(-4)) assuming m is positive.
m**(-115/264)
Simplify ((l/(((((l**(2/3)/l)/l)/l)/l)/l))/l)**(15/4)/(l*l**(2/5)*l**(4/7))*((l**(1/10)*l*l)/l**(-6))**(4/3) assuming l is positive.
l**(3511/140)
Simplify q**3*q**(-2)*q*(q/q**(1/3))**43*(q*q/(q*q/q**(-1)*q)*q**(1/6)/q)**43 assuming q is positive.
q**(-547/6)
Simplify ((v/((v**3/v)/v))**39)**(-1/45)*(v**(2/21)/v**(-2/13))/(v*(v*v**(2/9))/v*v*v**(2/3)/v) assuming v is positive.
v**(-1343/819)
Simplify ((h**1/h)**48/(h*h*h**(-1/4)/h)**(-1/58))/(h**(-2/9)/(h*h**(4/11)))**(2/75) assuming h is positive.
h**(95123/1722600)
Simplify ((a**8/(a/(a**4/a)))/((a/(a**8/a)*a)/((((a*a*a**(4/7))/a)/a)/a)))/(((a*a**(-6))/(a**6*a))/((a**(-1)*a*a)/a)**(-3/11)) assuming a is positive.
a**(186/7)
Simplify (y*y/y**5)/(y/y**0*y)*(y**(-1))**(-17/3)*(((y*y/y**(2/5))/y)**(-38))**(-33) assuming y is positive.
y**(11296/15)
Simplify ((q**(-8)*q*q)/(q*q/(q/q**(-7))*q))**(5/6)*((q*q**0)/q*q)**(2/5)*((q*q*q**2)/q*q)**(-16) assuming q is positive.
q**(-1933/30)
Simplify ((p/(p*p**4))/(p**(6/11)*p))**(2/15)*((p*(p**(-3)/p)/p)**(1/14))**27 assuming p is positive.
p**(-9764/1155)
Simplify ((f**(-1/4)/f)**(1/10))**(-6/11)/((f**(-7)/f**(1/11))/(f/((f*(f*f*f/((f*f*f**(1/4))/f))/f)/f*f))**28) assuming f is positive.
f**(-609/44)
Simplify (p**(25/6)*p*p/p**(3/19)*p)/((p/(p*p**(2/13)))/p)**(-24) assuming p is positive.
p**(-30653/1482)
Simplify ((p/((p/p**(-4))/p))**(-2/33)*(p**1)**(47/4))**28 assuming p is positive.
p**(3675/11)
Simplify (t**(-17)/t*t*t**(-8)*(t**(-2/9))**3)**29 assuming t is positive.
t**(-2233/3)
Simplify (k/k**(-35))/k**(-4/7)*(k**(2/41))**(-9/11) assuming k is positive.
k**(115330/3157)
Simplify (((p**11*p)/p*(p/(p**(-2/23)*p*p))/p)/(((p/(p*p**(2/31)*p*p))/p)/(p/(p**(-6)/p))))**(-16) assuming p is positive.
p**(-229888/713)
Simplify ((q/((q**0/q)/q))**(-27)*(q*q**(2/3))**27)/((q**1)**13*q**0/q**6) assuming q is positive.
q**(-43)
Simplify (w**(-1/2)/w*w*w**(-1/5)*w*w*w*(w/(w**(-2/3)*w))**(-3/17))/((w/w**(-1))/w*w**(-6)*(w*w**(-1)*w*w)**11) assuming w is positive.
w**(-2519/170)
Simplify j**5/(j*j**(-8)/j)*(j/((j**(1/2)/j)/j)*j)**(3/40)*j*j*j**(-2/7)*j*(j*j**(1/2))/j*j**(4/5)/j**6 assuming j is positive.
j**(1263/112)
Simplify ((h**(1/2))**(-1/22)*(h*h*h*h/(h/h**1)*h*h*h*h)**(6/11))/(((h/h**(-1/4))/h)/((h**(1/7)/h)/h))**(-2/49) assuming h is positive.
h**(66811/15092)
Simplify ((n/(n/(n/((n/n**(-1/4))/n))))**6)**19*((n/n**(1/5))/(n*n*n**(2/11)*n))/(n**(2/5)/n*n**(-1/8)/n) assuming n is positive.
n**(37331/440)
Simplify (y**(-2)/y*y/(y**(-5)*y)*(y**1*y)/(y/((y/(y**(-5)*y*y*y)*y)/y)))/((y**(-2/7)*y)**(-33)/(y**(-1/2)/y)**(-2/7)) assuming y is positive.
y**30
Simplify ((b/(b**41*b)*((b/(b/((b**(2/25)/b*b)/b)))/b*b*b)/b)**27)**(1/24) assuming b is positive.
b**(-1179/25)
Simplify (((a**(2/31))**(2/35))**(6/19))**(-2/99) assuming a is positive.
a**(-16/680295)
Simplify (((k**(2/29)*k**(1/5))/((k/(k/k**4*k))/k)**(-3))**(2/15))**(-37) assuming k is positive.
k**(-22422/725)
Simplify (((d**(-2/33)*d)/d)/(d*d**(-43)))/(d/(d*d**(-20))*d*(d**32/d)/d) assuming d is positive.
d**(-299/33)
Simplify ((((i*(i*i**(2/7)*i*i)/i)**50)**(-9/2))**(-3/32))**(-1/50) assuming i is positive.
i**(-621/448)
Simplify (((h/(h/h**0))/(h/(h*(h*h/(h**(1/2)/h))/h)))/(h/h**(-2/5))**(6/5))/(h**(-1/2)/(h**5*h))**17 assuming h is positive.
h**(2758/25)
Simplify ((q**16*q*q**(-4))/(q/q**(3/19))**(1/49))**(-6/5) assuming q is positive.
q**(-72522/4655)
Simplify (((z**(2/3)*z)/z*z)**(4/19)*(z/(z**(-3)*z))/(z*z**(-2/7)))/((z/(z*z**0))**(-17)*(z**0*z)**(3/16)) assuming z is positive.
z**(15635/6384)
Simplify (k**(2/3)*k**13)**(-21)*(k**(-3/8)*k/k**6)/((k**(3/4)/k)/(k*k/((k**(-5/6)/k)/k)*k)) assuming k is positive.
k**(-6871/24)
Simplify ((o**(1/3)/o)**(8/9))**(1/16)*(o**(-7)*o**(-9)/o)/(o**(-4/11)/o*o**(2/5)) assuming o is positive.
o**(-23869/1485)
Simplify (((s**5/(s*s**(-1/5)))**(-1/23))**(-1/2))**27 assuming s is positive.
s**(567/230)
Simplify (y*(y/(y*((y/((y*y**(-1/6)*y)/y))/y)/y))/y*y)/(y/(y/(y*y**(-2)*y)))*(y**0/y)**(-20)*((y*y/(y/y**(-4/7))*y)/y**(3/2))**(-15) assuming y is positive.
y**(502/21)
Simplify (((p**0/p*p*p**(2/13))/(p**(-2/7)*p**(4/7)))**(25/2))**0 assuming p is positive.
1
Simplify ((b*b**12)**(-41)/(b*b**(-1/35)*b**3))**(-1/26) assuming b is positive.
b**(9397/455)
Simplify (h*h/((h/(h*h**7*h))/h)*h*h**(-1/7))**(-42)/((h**(-2/9)*h/(h/(h/h**(-7))))/(h/(h*h**(-2)/h)*h*h**1)) assuming h is positive.
h**(-4507/9)
Simplify ((t**(-1))**(-2/19)/((t**(-1/2)/t)/t*t**(-5/4)))/((t*t**(1/4))**(-15))**(2/13) assuming t is positive.
t**(6659/988)
Simplify (i**26)**(-6/17)*i/(i/(i/i**(22/7)))*i*i**(3/38)/i*i assuming i is positive.
i**(-46307/4522)
Simplify (((x*x**(-17/3))/x)/x*x**(-37)*x/((x/x**(1/56))/x)*x/(x/x**(-23)))**(-49/2) assuming x is positive.
x**(77203/48)
Simplify ((j**(1/12)/j**(-12))/((j**(-4/9)/j)/j*j)**30)**(-13) assuming j is positive.
j**(-8645/12)
Simplify (i**(-2/5))**(5/4)/(((i*i/i**(-1))/i)/i**(-2))*(i**1*((i/(i/(i**(-6)*i*i))*i)/i)/i)/(i**7*i*i**4) assuming i is positive.
i**(-41/2)
Simplify ((d/(d*d**(3/2)/d))**(-2/7))**(-17/3)/((d**(-1/3))**(-38)*(d**(3/7)/d)/(d**(-8)*d)) assuming d is positive.
d**(-418/21)
Simplify (((((o/(o/(o*o**(-24))))/o)/o**(10/3))**(-2/33))**(2/27))**22 assuming o is positive.
o**(656/243)
Simplify ((((((j/(j/(j**(-2/15)*j))*j*j)/j)/j)/(j*(j*j*j**(-19)*j)/j))**(-2/13))**(-50))**1 assuming j is positive.
j**(5060/39)
Simplify ((j**(2/5))**13)**(6/19)/(((j/(j/(j/j**2)))/j)/j**5*(j**(-1/4))**30) assuming j is positive.
j**(3067/190)
Simplify g**(-3/4)/(g*g**(-2/7)*g)*(g*g**1*g)**(2/129)*((g*g**(1/11))/g**(1/9))/(g**9*g**(2/5)/g*g) assuming g is positive.
g**(-6459217/595980)
Simplify ((l**(-2))**(2/15)*(l**12*l)/(l*l/l**(-2)*l))**(-9) assuming l is positive.
l**(-348/5)
Simplify ((f**2*f)/(f*f*f*f**24/f)*(f*f**(-23))**(2/19))**(-1/17) assuming f is positive.
f**(481/323)
Simplify r**(3/8)/r*r**(-5)*(r**1)**(-5/7)*r**0/r**4*r/r**(1/3)*r*r*r**(-5)*r assuming r is positive.
r**(-1961/168)
Simplify ((c**(2/9))**(16/5))**49*(c**(-6)/(c/c**1))**(-3/25) assuming c is positive.
c**(8002/225)
Simplify ((z**(-9/7)*(z*z**(-1/6))/z)/(z/z**(-10)*z**(2/3)))**41 assuming z is positive.
z**(-22591/42)
Simplify (t/(t**(-1/11)*t)*t*t/t**(-6/7)*t*t)/(t/((t/((t**(1/4)/t)/t))/t)*t/t**(7/5))*(t**(2/9)*t*t**8)**(-1/9) assuming t is positive.
t**(632851/124740)
Simplify (g**(-41)/g*g*g/(g*g/(g**(2/55)/g)))/(g/g**(7/2))**(-5) assuming g is positive.
g**(-6101/110)
Simplify ((s*s/s**(-2/7))**(-1/13))**(-37)*((s/(s/(s*s**(-2/21))))/s**(1/8))**(-7) assuming s is positive.
s**(2287/2184)
Simplify (((m/(m/(((m*m*m**(-4/3))/m)/m)))/m**(-8))/(m**9/m**(3/8)))**(-2/5) assuming m is positive.
m**(47/60)
Simplify ((((b/(b**(-3/8)/b))/b)/b**(-5))/(b**2)**(-33))/((b**(-3/4)/b**6)/(b**(-1/4)/b*b*((b/b**(-2/9))/b)/b)) assuming b is positive.
b**(5623/72)
Simplify (((z**2*z*z**(3/5))/((z/z**(-2/9))/(z*((z/(z/(z/(((z/(z/(z*(z*z**(1/4))/z*z))*z)/z)/z))*z))/z)/z)))**(-20/11))**(-43) assuming z is positive.
z**(989/99)
Simplify (((l*l*l*l*l*l**(-20)*l*l**6)**(10/13))**(2/75))**(2/39) assuming l is positive.
l**(-64/7605)
Simplify ((((z**(-1/2))**(5/2))**(-2/87))**41)**29 assuming z is positive.
z**(205/6)
Simplify ((r**1)**25*(r*r*r*r**0)**(-1/10))/((r**(-1/8)/r*r**(-5/2)/r)/((r*r*r**(3/2))/(r*r*r/(r**(2/17)*r)*r*r))) assuming r is positive.
r**(19681/680)
Simplify ((o/(o/o**(-6)*o))/o**(-3/5))**(-42)/(((((o*((o*o**(-3)*o)/o)/o)/o)/o)/o*o*o**5)/((o**(-1/4)*o)/o**(-4))) assuming o is positive.
o**(5451/20)
Simplify ((d/d**0)**(-28/3)/(d/((d*d**(-1)/d*d)/d))**6)/(d**(1/7)*d**(-3))**(2/13) assuming d is positive.
d**(-570 | {
"pile_set_name": "DM Mathematics"
} |
- 29*x + 4*b - 42 = 0 for x.
10
Solve -3*j + 105 = 4*n, -5*j - 91 = -n - 59 for n.
27
Solve -4*g = 2*f - 6, 2*g - 10640*f = -10638*f - 12 for g.
-1
Solve 0 = 2*u - 4, 6 = -88*z + 84*z - 5*u for z.
-4
Solve 2 = 5*f - 3, 5*f = t - 3*t + 15 for t.
5
Solve -n = 3*u - 15, -1029*n = 2*u - 1028*n - 12 for u.
3
Solve -4*b + 4 = -32, -9*b = 4*z - 101 for z.
5
Solve 26*y - 23*y = 4*g - 1, 5*y - g - 4 = 0 for y.
1
Solve 5*y + 22 - 16 = -q, -28 = 4*y - 5*q for y.
-2
Solve 38*v - 65*v = -24*v + 2*d + 11, 4*v = 5*d - 30 for v.
-5
Solve -2 = m, 12*m - 2 = 2*q - 20 - 16 for q.
5
Solve 5*d - 71*g = -66*g + 65, 4*d = -5*g - 92 for d.
-3
Solve -6*l - 84*o + 4 = -83*o, -5*l - 8 = -2*o for l.
0
Solve r + 51*h + 67 = 55*h, 6*h - h = 90 for r.
5
Solve 50 - 87 = 4*s + 5*l, -s = -5*l - 22 for s.
-3
Solve -6*x - 3 = -3*m, -7*m + 3*x - 61 = -x - 88 for m.
5
Solve -s - 5*j = 13, 13 = -2*s - 3*j + 6*j for s.
-8
Solve 13*j - 7 = 2*k + 10*j, 0 = -j + 3 for k.
1
Solve -3*v - 52*w - 34 = -54*w, 2*w = v + 30 for v.
-2
Solve -4*k = -2*d, -d = -24*k + 23*k - 2 for k.
2
Solve 2*d + 2*a = -18, -32 = 17*d - 14*d + 4*a for d.
-4
Solve 28*z = 24*z + p + 72, 2*z - 17*p = 102 for z.
17
Solve -3*l - 35 = 2*l + d - 20, -2*d = 0 for l.
-3
Solve 2*i - 102259*k = -102254*k - 28, 3*k - 12 = 0 for i.
-4
Solve -2*z - 547*t = -542*t, z = -5*t + 5 for z.
-5
Solve 4*o + 3 + 2 = 11*s - 16*s, 0 = -2*o for s.
-1
Solve -18 = 5*n + 12, n = -2*u - 6 for u.
0
Solve q + 10 = 190*t - 193*t, 4*q = t - 14 for q.
-4
Solve 9*t - 61 + 57 = -4*c, -5*c + 54 = -t for c.
10
Solve 132*f - 134*f + 3*g = 2, 4 = -2*g for f.
-4
Solve m + 5*j + 57 - 2 = 7*m, 0 = -3*m - 3*j for m.
5
Solve -4*f = 7*i - 2*i + 31, -5*f = -4*i + 90 for f.
-14
Solve -65*d = -68*d + 5*t + 25, 4*d - 3*t - 37 = 0 for d.
10
Solve 115*g = -3*s + 118*g, s - 5*g = -4 for s.
1
Solve 64 = 5*r - 2*v, -4*v = -r + 14 + 6 for r.
12
Solve 5*p + 29 = -4*w, -7042*w + 7044*w = 2*p - 10 for w.
-6
Solve -h = -2*a, -4*h - 14 = 1330*a - 1331*a for h.
-4
Solve 15*r = -2*g - 40, -3*r - 637*g - 11 = -636*g for r.
-2
Solve -2*d + 4*b = -16, 22 = -71*d + 70*d - 4*b for d.
-2
Solve 4*t + 32 = 0, h + 2807 = -5*t + 2766 for h.
-1
Solve -5 = -3*i - 2*k - 12, 4*k = -5*i - 15 for i.
1
Solve 16 = -2*p + 4*n, 6*n = 5*p + 171 - 139 for p.
-4
Solve 3*k + 7*h + 354 = 430, -2*h = k - 21 for k.
-5
Solve 0 = -4*q + 4*a + 20, 4*q = a - 131 + 130 for q.
-2
Solve 16*v + 57 = 3*n, -505*v = -509*v + 4*n - 24 for v.
-3
Solve -8 = 3*p + 5*k - 10, 0 = 2*k - 2 for p.
-1
Solve 4*y + h - 42 = -11, 0 = -5*y + h + 41 for y.
8
Solve 11 = 129*t - 134*t + y, -3*t - 39 = 3*y for t.
-4
Solve 4*n + y + 10 = 2*n, 0 = 2*n + 382*y - 386*y for n.
-4
Solve -48*c - 12 = 5*r - 46*c, -5*c - 16 = 9*r for r.
-4
Solve -4*y - 4*b - 782 = -742, -6*b = 4*y + 42 for y.
-9
Solve -854*k = -15*h - 850*k - 30, -4 = 2*h + 5*k for h.
-2
Solve 982*x - 978*x - 36 = 5*v, 0 = 10*v - x - 26 for v.
4
Solve 4*k + 2896*u = 2891*u + 10, 3*k - 2*u + 4 = 0 for k.
0
Solve 3*l + l + 29 = -7*s, -3*s - l = 11 for s.
-3
Solve 0 = 2*y + m + 10, 3*y - 3*m = 1 - 7 for y.
-4
Solve 3*v = -r + 26, 165*r - 163*r - 32 = -4*v for r.
-4
Solve -7*u + 73 = 3*a, 5*a + 2470 = 4*u + 2435 for a.
1
Solve -2*v - 30 = 39*n - 44*n, 10*n - 25 = -3*v for v.
-5
Solve 1670*c = 4*b + 1673*c - 40, 5*b - 3*c = 23 for b.
7
Solve 25*b = 21*b + 3*z + 45, -b - 4*z = 41 for b.
3
Solve 12*d - f = 8*d + 8, 10 = 5*d - 2*f for d.
2
Solve -m + 4*h = 15, -3*h = 10069 - 10081 for m.
1
Solve 0 = -5*o + 5, 6*j + 4*o - 7*o - 45 = 0 for j.
8
Solve -3*o + 1391*z - 1386*z = 40, 0 = 2*o + 5*z - 15 for o.
-5
Solve 5*v = 4*y, -60*y = -v - 65*y + 29 for v.
4
Solve -2*z + k = -2, 6 = -249*z + 251*z - 3*k for z.
0
Solve -2*l - 5*d - 33 = 0, 26*l = 4*d + 48 - 132 for l.
-4
Solve -t = 9*x + 34, 15*x - 4*t = 12*x - 20 for x.
-4
Solve -5*a - 22 = v, -102*v - 2*a = -106*v + 22 for v.
3
Solve 2227*m + 11 = 2230*m + 2*t, 0 = -5*m + 5*t - 15 for m.
1
Solve c - 47*k = -43*k - 31, -5*k = -4*c - 69 for c.
-11
Solve j - 1899 + 1910 = -5*x, 7*x - 4*x - 83 = 5*j for j.
-16
Solve 0 = -3*g + 8*k + 22, 0 = 4*g - 2*k + 2404 - 2390 for g.
-6
Solve -4*a = -f - 31, -58 = -2*a + 8*f - 20 for a.
7
Solve -3*f + 3*d = 9, -98*f + 4*d = -102*f - 28 for f.
-5
Solve 127 - 62 = 2*k + 4*v + 85, -41 = -5*k + 3*v for k.
4
Solve -7*r + 5*r = d + 1, -2*d + 4 = -2*r for r.
-1
Solve u = 16*a - 12*a + 22, -4*u + 55 = -5*a for a.
-3
Solve 2*z = 8*l + 34, -192*l + 190*l - 5*z - 3 = 0 for l.
-4
Solve -65*r + 2*i - 14 = -343, -r + 13 = -4*i for r.
5
Solve -10 + 42 = -2*y + 4*q, 2*y = -4*q + 32 for y.
0
Solve -g + 2*t = 15, -t - 162 = 5*g - 175 for g.
1
Solve -9*m - 3 = 3*n, 3*n + 5396*m = 5391*m - 3 for n.
-1
Solve 4*x - t + 15 = 0, 3*x + 117 = 2*t + 102 for x.
-3
Solve -3*d - 946 = -4*g - 941, 5*d + 4*g - 13 = 0 for d.
1
Solve -78 + 77 = 4*f - 5*y, 4*f + 64 = -16*y for f.
-4
Solve 2*p = 3*l - 18, 0 = 11*p - 5*p - 5*l + 38 for p.
-3
Solve 32 = -4*g + 2*x, 0 = -g - 33*x + 34*x - 9 for g.
-7
Solve 5*r = -35*p + 30*p - 35, 2*p + r = -13 for p.
-6
Solve 0*l - v = 2*l + 13, -5*v - 25 = 0 for l.
-4
Solve 7*l - 8*l = -4*s - 11, 4*l = -s - 7 for s.
-3
Solve -2*i - 618 + 623 = -5*y, y - i = -7 for y.
3
Solve 4*r = 4*j - 32, -908*j + 902*j + 40 = -4*r for r.
-4
Solve -p + 3 = 229*f - 224*f, -3*f + 3*p - 9 = 0 for f.
0
Solve -5*c + 2*p = -15, 2*p = -14091*c + 14094*c - 13 for c.
1
Solve 6*y - 5*b = -57, 36*y = 37*y + 2*b + 18 for y.
-12
Solve -4*l = 2*i - 14, -254*i - 5 = -241*i + 2*l for i.
-1
Solve -3*q + 6 - 27 = -5*x, 0 = q - 3*x + 11 for q.
-2
Solve -3*l - 4*q - 23 = 0, -5607*l - 5*q = -5608*l + 43 for l.
3
Solve 2*g - 4*m - 1896 = -1864, -g + 3*m = -18 for g.
12
Solve i - 25 = -5*g, 0*i - 5*g = -i - 15 for i.
5
Solve 18 = -4*j - 2*f + 10, 0 = -5*j + 2*f - 19 for j.
-3
Solve -9 = s + o, o + 54 - 33 = -4*s for s.
-4
Solve 2*o = s - 34, 0 = 196*s - 191*s - o - 26 for s.
2
Solve 5*i - 27 = -c - 157, -9*i - 225 = 0 for c.
-5
Solve 5*s - 5*z = 25, 552 = 3*s - 2*z + 542 for s.
0
Solve 0 = -l - 3*s - 22, -89*l + 84*l = -2*s + 8 for l.
-4
Solve 2*i + 398 - 374 = 3*c, 232 = 5*c - 14*i for c.
-4
Solve 4*j - 6*q = -2*q, -7*q = -0*q + 2 + 26 for j.
-4
Solve -4*i + 4 = 0, -3*y = -8149*i + 8146*i - 3 for y.
2
Solve -5*s + 4*r - 51 = 0, -11959*s - 2*r + 29 = -11962*s for s.
-7
Solve 0 = 3*j - w - 23, -2429*w + 2434*w + 13 = -2*j for j.
6
Solve -27*u - 2*c = 117, u - 39*c + 40*c = 4 for u.
-5
Solve 4*v = -4*i - 8, -85*i = -86*i - 4*v - 2 for i.
-2
Solve 17*r = 43*j - 42*j - 81, -4*r - 36 = 4*j for j.
-4
Solve -2*r = 4*c - 26, 2*r = 3*c + c - 14 for r.
3
Solve -3*l + 14 = -k, 15*k - 20*k - 10 = 5*l for k.
-5
Solve 0 = 5*l - y + 8, -27*l - l + 4*y = 48 for l.
-2
Solve -5*a + z = 11, 7 = 3*a - z + 12 for a.
-3
Solve -2*p = -2*a + 20, 124*p + 70 = 120*p - 2*a for p.
-15
Solve 4*a + 24026*i - 24022*i - 8 = 0, 1 = 4*a - 3*i for a.
1
Solve x + 82 = c + 73, 100*x + 597 = -c for c.
3
Solve 3*x = k + 54, 79*k + 3*x = 83*k + 63 for k.
-3
Solve 4*r - 5 = 5*g, 470*r = 475*r - 3*g - 3 for r.
0
Solve -t = -4*o + 112 - 116, -3*o = 10*t + 3 for t.
0
Solve 0 = 2*t - w - 19286 + 19269, 5*t = -3*w + 48 for t.
9
Solve k = 638 - 636, 4*h + 38 = -3*k for h.
-11
Solve -l - 14 = 2*p, -32118*p + 5*l + 58 = -32122*p for p.
-2
Solve -4*t - 5*k = -32, -90*t - 4*k + 13 = -91*t for t.
3
Solve -5*c - g + 24 = 0, c + 4532 = 4*g + 4457 for c.
1
Solve -33 = -15*v + 47*w - 46*w, -2*v + 4*w = -16 for v.
2
Solve 207385*y + 2*j - 14 = 207388*y, 3*y + j = -2 for y.
-2
Solve -r + 3*p = -19, 29 - 4 = 3*r - 5*p for r.
-5
Solve -58*x + 5*s - 45 = -62*x, -4*x + 3*s = -5 for x.
5
Solve -2*d - 49 + 45 = 0, 4*d = -5*t - 23 for t.
-3
Solve l + 755 = -3*w + 760, -10 = 4*l + 2*w for l.
-4
Solve 0 = 3*m - 5*t - 47, 5*t - 80 = -3*m - 133 for m.
-1
Solve 458 = -r + 461, -o + 8 = 3*r for o.
-1
Solve -780*k = 5*i - 777*k - 42, -3*i = 5*k - 38 for i.
6
Solve 0 = -5*z + 7*m - 62, 0 = -z - 3*m - 122 + 136 for z.
-4
Solve 0 = 4*o + 30*d - 35*d - 2, -2*o + 8 = d for o.
3
Solve 3*u = 12, 5*v + 7312*u - 7314*u - 7 = 0 for v.
3
Solve 97*o - 92*o + 3*v = v - 41, -32 = 4*v for o.
-5
Solve -2*q - 8 = 2*y, 566*q = 570*q + 2*y + 10 for q.
-1
Solve -4*a + 8*b = 4*b - 12, -8 = -5*a - 2*b for a.
2
Solve -13*c - 3*l = -8*c + 30, 0 = 10*l + 46 + 4 for c.
-3
Solve j + 4*v + 23 = 0, -5*j - 154 = 43*v - 36*v for j.
-35
| {
"pile_set_name": "DM Mathematics"
} |
-30)
-1/12
What is 1*(1 + 2) + -8?
-5
What is (240/200)/((-9)/30)?
-4
(-3 + (-39)/(-9))*(-12)/8
-2
What is the value of (-7)/90 + 81/270?
2/9
What is the value of (9/(-6))/(44/88)?
-3
Evaluate 6 + -5 - 4/(-2).
3
What is the value of 455/(-26)*4/(-10)?
7
Calculate 32/(-48) - (-6)/(-9)*-1.
0
10/15 + -3 + 46/30
-4/5
Evaluate (-20)/35 + (-6)/14.
-1
What is the value of (-12)/208*(-8)/3?
2/13
Calculate (8 - 1) + (-1408)/198.
-1/9
Calculate (-450)/825 + (-17)/(-11).
1
Calculate (-4)/(4 + -26 - 4).
2/13
Calculate (30/(-4) - -7)/(4/48).
-6
What is the value of (372/(-126) - -3)*18?
6/7
What is the value of (5/75 - (-8)/(-20))/1?
-1/3
What is the value of (78/(-18) - -5)/((-4)/(-6))?
1
What is 33/88 + ((-164)/(-32) - 5)?
1/2
(12/312)/((-9)/54)
-3/13
Calculate (-6)/(((-6)/(-2) + -2)*-1).
6
Evaluate 50/1050*(9 + 0 + 0).
3/7
Calculate 15/9*((-3)/3 + 4).
5
What is (8/36)/(10/15)?
1/3
Calculate 9 + -10 - 3/(-4).
-1/4
(-33)/(-15)*(45 + -50)
-11
What is (-14 + 19)*(-1)/4?
-5/4
Evaluate (-5)/(-8)*52/195.
1/6
What is (-7 - -6) + 3/2?
1/2
Evaluate (-9)/(-1) - (20 + 19 + -36).
6
Evaluate (-5)/12*(-18)/(-45).
-1/6
Calculate 6/(-70) - (-6)/21.
1/5
Evaluate (-2)/(-15) - ((-40)/525)/8.
1/7
(17/85)/((-3)/15 + -1)
-1/6
What is (6/20)/((-2)/4)?
-3/5
1/4*4*3 - 2
1
-4 + (-2 + 1 - -1)
-4
Calculate ((-4)/3)/((-3)/(459/34)).
6
What is (4/16 - (-3)/(-12))/1?
0
Calculate 147/(-2079) - 2/18.
-2/11
What is the value of -2 + 4 + -2 + 30/45?
2/3
((-7)/56*3)/((-3)/48)
6
What is the value of 20/(-30) - (1020/18)/(-10)?
5
Evaluate ((-128)/960)/(1 + 8/(-10)).
-2/3
Evaluate (-63)/(-168) + 2*2/32.
1/2
Calculate (171/(-21) - -9)*(0 + 7).
6
Evaluate (-12)/(-81)*(2 - (-63)/(-18)).
-2/9
What is the value of 5/(60 - 5)*4/(-2)?
-2/11
What is ((-8)/10)/(18/45)?
-2
What is ((-8)/66)/((-28)/42)?
2/11
Evaluate 6/8*24/(-3) - -1.
-5
What is the value of 33/36 - 3/4?
1/6
What is (11 - 9)*(-3)/33?
-2/11
What is the value of (4/6)/((-6)/(-27))?
3
Evaluate ((-2)/(-8))/((-23)/2 - -11).
-1/2
Calculate ((-3096)/(-88))/(-9) - (-1)/(-11).
-4
What is 1 + 2 - (-60)/20?
6
What is the value of 472/(-84) + 4 + (-12)/(-9)?
-2/7
(-4)/(-10)*(4 - 8)/2
-4/5
(-2)/((-9)/(-2) + -4)
-4
What is the value of (2 - 5) + -2 + 6 + -1?
0
Calculate -95 + 90 + ((-57)/(-11))/1.
2/11
Evaluate -2 + 6 + ((-36)/21 - 2).
2/7
Evaluate (9*(-8)/24)/3.
-1
What is 164/123 - 7/6?
1/6
Calculate (2/10)/((-36)/120).
-2/3
9 + (-20 - -12) + -1
0
What is the value of (0 - 2)/(-2 + 24/10)?
-5
4/50 + (-1568)/(-400)
4
Calculate (-1026)/(-532) + (-3)/7.
3/2
What is ((-3)/4)/((-120)/96)?
3/5
Calculate 1 + (-46)/(-8) + 23/92.
7
What is the value of 71/71 - (-2 + (-54)/(-21))?
3/7
Evaluate (3 - 9)*2/(-3).
4
Calculate (-29 + 24)*1/(-15).
1/3
Evaluate 4 - (2/(-5 - -7) - -8).
-5
Evaluate (-4)/5 - 56/280.
-1
Evaluate (3 - 6)*32/(-48).
2
What is the value of 2/5*40/28?
4/7
Calculate (-2)/9 - (-450)/(-162).
-3
Calculate 1 - -2*-3*(-6)/(-36).
0
What is the value of ((-198)/264)/((-1)/12)?
9
Evaluate ((-9)/4 - -2) + 104/160.
2/5
Calculate (-3 - 4) + -6 + 203/14.
3/2
Calculate (-104)/91 + (-1)/(-7).
-1
(-1 + -9)/((-2 - -1)*-2)
-5
What is the value of (-140)/(-44) + (-7 - -4)?
2/11
What is 1 + 6/18*-3?
0
Evaluate ((-1)/2)/((-7)/(-42)).
-3
Calculate (12/10)/(-2) + (-299)/(-715).
-2/11
What is the value of (-1)/(13 - 1) - (-12)/36?
1/4
What is the value of (-8)/28 - 0 - (-8)/28?
0
(20/165)/(4/(-6))
-2/11
2 - 126/88 - (-9)/(-12)
-2/11
What is the value of (-6)/18 + (-21)/45*-1?
2/15
Calculate 76/12 + (-21)/3.
-2/3
Calculate (4 - -1) + 28/(-19 + 12).
1
What is (-5)/6 + (-1)/(-6)*9?
2/3
Evaluate (6/(-20))/(((-240)/(-25))/8).
-1/4
What is the value of (1 - -13)*(-4)/(-14)?
4
What is 32/40*(-2)/(-4)?
2/5
(-29)/290*((-2)/2 - 1)
1/5
Evaluate (45 + -3)/(-6)*(-6 - -7).
-7
What is (13/5 - 2) + 0?
3/5
Evaluate (-2)/3*(-117)/78.
1
What is (-1 + (-2 - -4))*4?
4
What is 16 + -16 - ((-1)/5)/(-1)?
-1/5
44/(-242) - (-72)/154
2/7
(-2)/(-3) - 7/(147/(-175))
9
Evaluate (-4 - 138/(-30))/(-1).
-3/5
Calculate 24/(9 - 1) + -4 - -6.
5
18*5/50 + -2
-1/5
What is the value of 6/84 - 82/(-28)?
3
Calculate 3 - 23/3*(-9)/(-21).
-2/7
What is 1/(-2)*(-20)/(-5) + 6?
4
What is the value of ((91/(-4))/13)/(3/12)?
-7
What is the value of (-67)/(-402)*(4 - 1)?
1/2
Calculate (6 - 46)/(-4) + (-8 - -2).
4
96/(-180)*4*(-15)/(-400)
-2/25
What is (-320)/120 + 58/24?
-1/4
What is the value of ((-1)/(-3))/((-18)/(-27)) - 0?
1/2
Evaluate (-2 - 22/(-8))/(1170/240).
2/13
Calculate ((-16)/12)/(1/((-12)/8)).
2
What is 156/(-22) - (-51 + 44)?
-1/11
Evaluate (-8)/36 - 56/(-90).
2/5
Calculate (-172)/129*(-2)/(-8).
-1/3
(-2257)/(-5368) - (-12)/(-22)
-1/8
What is 8 + 1 + -12 + (-17)/(-5)?
2/5
What is 552/63 + -9 - (-2)/(-6)?
-4/7
What is ((-12)/35)/(44/(-110))?
6/7
Evaluate ((-480)/(-55))/(-8) + 1.
-1/11
Evaluate 285/(-19)*(-4)/12.
5
(-4*(-9)/756)/(2/(-12))
-2/7
(3/11 - (-132)/(-33)) + 4
3/11
Calculate 2*(9/5)/((-78)/195).
-9
What is the value of ((-6)/7)/(33/(-77))?
2
Calculate 28/21*(-15)/5.
-4
Evaluate 0/((8/1)/4).
0
Calculate ((-4)/9*3)/(2/9).
-6
What is the value of -3*(-3)/(135/(-6))?
-2/5
Calculate (-4 - -3) + (-7)/(-4).
3/4
Calculate 11/3 + -6 + 3.
2/3
Calculate -4*(-2 - -8)/6*1.
-4
What is 16/7 - 2 - (-32)/(-14)?
-2
(-3)/(-36)*9/6
1/8
What is (704/(-24))/8 + (-2)/6?
-4
(-5)/(-18) - 6/(-27)
1/2
What is the value of 5/20 + (0 - (-21)/12)?
2
Evaluate ((0 - 1) + -2)*(-15 + 16).
-3
Calculate 26/10 - 3*(-2)/15.
3
Evaluate -5 - (99/54 - 7).
1/6
Calculate ((-2)/(-4))/((-2)/(-8 + 0)).
2
What is (-2)/15 - (-222)/720*-2?
-3/4
What is the value of 1/1 + (-28)/(-28)?
2
(-1)/(-1 + 7) - (-50)/12
4
(135/(-36) - -7) + 6/(-8)
5/2
Evaluate ((-44)/(-70))/1 + (-11)/55.
3/7
Evaluate 24/14 - 2/(-7).
2
What is the value of ((-41)/82)/(((-7)/(-2))/1)?
-1/7
What is (-28)/42*18/(-28)?
3/7
What is ((-5)/(-225)*-2)/((-6)/54)?
2/5
What is 2/4*(11 - 1)?
5
(-3)/135*10 + (-4)/(-18)
0
Evaluate 290/150 + (-6)/10.
4/3
What is the value of (-4)/18*(2 - (-21)/(-14))?
-1/9
4/(-5)*103/412
-1/5
(-1)/(-1 - 24/(-16))
-2
Evaluate (-4)/((-24)/(-9))*8/22.
-6/11
Evaluate -4*((-104)/16 + 7).
-2
Calculate 1*(2 - 0)*2/(-4).
-1
What is (-1411)/(-136) - (13 + -3)?
3/8
Evaluate (4 + -13)*(-1)/3.
3
Evaluate (2 + -5)/((-4 - -4) + 4).
-3/4
What is 8/(-2) + -5 + 13 + -4?
0
What is (-1)/(-7)*(-1)/((-2)/(-2))?
-1/7
Evaluate 22/(-33) - (1 - 1).
-2/3
4/30 - 620/2400
-1/8
What is 12/(-90)*-42 - 5?
3/5
(-12 - (-957)/77)*6/9
2/7
What is 37/259*4*(3 + -2)?
4/7
What is (-385)/1225 - 15/(-21)?
2/5
What is 240/(-1728)*(-12)/15?
1/9
Evaluate 3/(-42)*4 - (-22)/126.
-1/9
What is the value of ((-2)/3)/((-4)/(-6)) + 4?
3
What is ((-6)/(-16)*2)/((-339)/(-904))?
2
Calculate 50/10 - 8 - 1*-2.
-1
Evaluate 1/(55/(-340)) + 2/11.
-6
Calculate ((-21)/9 - -2)/((-2)/(-18)).
-3
Calculate 1/4*(-3 + 36/28).
-3/7
Evaluate ((-21)/56)/((-18)/(-24)).
-1/2
((-1)/(-5) + -1)/(4/10)
-2
Evaluate -7*(3 - ((-153)/(-147) + 2)).
2/7
What is the value of (-8)/(-14) + (-9 - (-364)/49)?
-1
What is the value of 10*-2*(-21)/(-70)?
-6
Calculate 58/60 + -1*12/15.
1/6
What is (-13)/(-39) + 1*(-22)/102?
2/17
What is ((-60)/(-8) - 6)*(-88)/231?
-4/7
What is the value of (-16)/(-30) - (-154)/(-1155)?
2/5
What is the value of (12 - 6)*(-1)/(-3)?
2
4 - 0*(-2)/(-30)*-3
4
What is the value of (-1)/((-16)/12) + 6/(-8)?
0
Calculate (32/(-14) - 0)*42/(-12).
8
Evaluate 238/(-105) + 2 + (-1)/3.
-3/5
(-2 + (-22)/(-8))*8/12
1/2
Evaluate (-8)/(-1000)*-10 + (-96)/50.
-2
What is the value of -3 + (-22)/(-8) + 33/88?
1/8
(24/24)/((-2 - 0) + 9)
1/7
What is the value of (-11 - -9 - -2)*(-2)/8?
0
Calculate 6/(-4)*(1 - 50/60).
-1/4
2/(-8)*208/(-78)
2/3
(-612)/(-170) + (-10 - -4 - -3)
3/5
Calculate 4 + (-4 - 0) - (1 - 0).
-1
(-74 + 62)*(-1)/3
4
What is 3 + 0 + (3 - 10/2)?
1
Calculate (8 - 13)/(-5)*8.
8
Evaluate ((-219)/(-22) - 10)*2.
-1/11
12*(-2)/(-15) - 1
3/5
What is the value of (2/3)/(9 + 62/(-6))?
-1/2
Calculate (-1353)/(-275) - (-3)/(-6)*10.
-2/25
29/7 + (-13)/91
4
Evaluate ((-6)/8)/(-2*24/320).
5
What is 20/(-15)*105/28?
-5
What is the value of ((-18)/(-4))/((-273)/364)?
-6
(-9)/2 + 3/((-9)/(-12))
-1/2
Evaluate ((-6)/8)/((-3)/24).
6
Calculate (-125)/20 + (0 - -6).
-1/4
12/10*22/33
4/5
Calculate (-14)/(-21)*(-351)/(-26).
9
Evaluate 44/(-440)*(-17 - -1).
8/5
What is (85/(-765))/(1/(-9))?
1
Evaluate (1 - 12/14)/((-102)/(-204)).
2/ | {
"pile_set_name": "DM Mathematics"
} |
576305*a**3 + 423233889*a**2 + 2870512380*a - 3295317600 = 0?
-164, -8, 1, 915
Let -6*v**2/11 + 78617160*v/11 - 257527410269400/11 = 0. What is v?
6551430
Factor n**2/2 - 2709*n/2 + 598534.
(n - 2153)*(n - 556)/2
Let -1269*b**2 + 50645778*b + 478920 = 0. What is b?
-4/423, 39910
Find r, given that -3*r**5/5 + 5018*r**4/5 + 630628*r**3 + 430240734*r**2/5 + 113821443*r + 28402920 = 0.
-255, -1, -1/3, 2184
Determine r so that -4*r**3 + 1574260*r**2 + 211004708*r + 7069259244 = 0.
-67, 393699
Suppose -2*i**3 + 43508*i**2 - 9261770*i = 0. What is i?
0, 215, 21539
Let -a**3 - 46763*a**2 + 1076036*a - 1965012 = 0. Calculate a.
-46786, 2, 21
Factor 3*c**2 - 45474*c - 2189664.
3*(c - 15206)*(c + 48)
Suppose -2*d**4/7 + 342*d**3/7 - 446*d**2 - 16038*d/7 + 5980 = 0. Calculate d.
-5, 2, 13, 161
Let -4*q**3 - 3361840*q**2 - 706430159412*q - 24014739290184 = 0. What is q?
-420213, -34
Determine t so that -363*t**5 + 8348076*t**4 + 4555029*t**3 - 32771358*t**2 - 18214308*t - 2483784 = 0.
-2, -3/11, 2, 22998
Factor -1774*d**2 + 40752*d + 1150.
-2*(d - 23)*(887*d + 25)
Factor 2*c**3 + 6669512*c**2 + 5560292120250*c - 11120610918564.
2*(c - 2)*(c + 1667379)**2
Let 3*k**4/2 - 268273*k**3/2 - 2325297*k**2/2 + 3487897*k/2 - 447165 = 0. What is k?
-10, 1/3, 1, 89433
Find z, given that 2*z**4/3 + 23194*z**3 - 139186*z**2/3 - 162370*z - 278344/3 = 0.
-34793, -1, 4
Determine w, given that -7*w**5 + 2040*w**4 + 80488*w**3 + 1120640*w**2 + 6776400*w + 15088000 = 0.
-10, -46/7, 328
Determine n, given that -4*n**3 - 38112*n**2 - 190476*n - 152368 = 0.
-9523, -4, -1
Find t such that -2*t**4/9 - 3642*t**3 - 3435760*t**2 = 0.
-15384, -1005, 0
Factor -3*p**3 + 5307636*p**2 + 10615281*p + 5307642.
-3*(p - 1769214)*(p + 1)**2
Factor -2*s**2 + 751238*s.
-2*s*(s - 375619)
Let 2*x**2 + 2720950*x = 0. Calculate x.
-1360475, 0
Let 4*k**5 + 884*k**4 - 180*k**3 - 39620*k**2 + 35696*k + 74256 = 0. Calculate k.
-221, -7, -1, 2, 6
What is i in i**4/5 - 168*i**3/5 - 217845*i**2 + 497682608*i/5 + 4567241664/5 = 0?
-1151, -9, 664
Factor 3*m**2/2 - 6054951*m - 36329733/2.
3*(m - 4036637)*(m + 3)/2
Factor -7537*i**2/11 - 407014*i/11 - 864/11.
-(i + 54)*(7537*i + 16)/11
Factor 3*l**5 - 33723*l**4 + 136084221*l**3 - 227505360585*l**2 + 124932628329084*l.
3*l*(l - 3391)**3*(l - 1068)
Let -4*a**5 + 2492*a**4 - 391660*a**3 + 1041924*a**2 + 17097120*a + 31136400 = 0. What is a?
-3, 9, 310
Solve -2*a**3/9 + 5459996*a**2/9 - 3726449999992*a/9 + 7452878160016/9 = 0.
2, 1364998
Suppose -x**4 - 199028*x**3 - 995119*x**2 - 796092*x = 0. Calculate x.
-199023, -4, -1, 0
Determine w so that w**2/3 + 207241*w/3 - 10577094 = 0.
-207394, 153
Determine j so that 2*j**5/7 + 708*j**4/7 - 10922*j**3/7 + 7764*j**2 - 13896*j + 53136/7 = 0.
-369, 1, 2, 6
Factor -2*a**3 + 18748500*a**2 - 43938206537154*a - 351506852202256.
-2*(a - 4687129)**2*(a + 8)
Find v such that v**3/4 + 1941*v**2/4 - 299373*v/4 + 11121623/4 = 0.
-2087, 73
Factor 3*u**3 - 1611*u**2 + 211005*u - 209397.
3*(u - 313)*(u - 223)*(u - 1)
Find g, given that 3*g**5 - 2064*g**4 + 347397*g**3 + 1094196*g**2 - 5683500*g + 4243968 = 0.
-6, 1, 2, 307, 384
Factor -5*u**2/3 - 636070*u/3 + 31203445.
-5*(u - 147)*(u + 127361)/3
Determine q, given that q**4/4 + 1717*q**3 + 1969797*q**2/4 - 1980101*q/2 + 495884 = 0.
-6568, -302, 1
Suppose -3*w**3 + 7041*w**2 + 27326148*w + 27319104 = 0. What is w?
-2064, -1, 4412
Let -3*z**2/5 - 67075176*z/5 - 374923269619248/5 = 0. Calculate z.
-11179196
Factor 8520*g**2/11 - 1024*g/11 - 6.
2*(6*g - 1)*(710*g + 33)/11
Factor -2*q**2 + 1303768096*q - 212476406018433152.
-2*(q - 325942024)**2
Determine y so that y**3 - 55601*y**2 - 834316*y + 4226816 = 0.
-19, 4, 55616
Let -4225*t**3/4 + 888935385*t**2/4 + 82055601*t/4 + 1893591/4 = 0. What is t?
-3/65, 210399
Determine c so that 2*c**4/5 - 144*c**3 + 17152*c**2/5 + 9645312*c/5 + 38260224/5 = 0.
-92, -4, 228
Suppose 17*b**5/3 + 22248*b**4 - 393068*b**3/3 + 173008*b**2 = 0. Calculate b.
-3932, 0, 2, 66/17
Factor -6*i**5/7 + 48144*i**4/7 + 192672*i**3/7.
-6*i**3*(i - 8028)*(i + 4)/7
Find x such that 2*x**3 + 90434*x**2 + 1356172*x + 5062624 = 0.
-45202, -8, -7
What is o in -85*o**3 + 4850*o**2 - 18555*o + 14310 = 0?
18/17, 3, 53
Factor m**2/4 + 1256691*m/2 + 1579272269481/4.
(m + 1256691)**2/4
Determine r, given that r**5/3 - 583*r**4/3 + 107918*r**3/3 - 6178274*r**2/3 - 13962373*r + 15986019 = 0.
-7, 1, 159, 271
What is m in -243*m**4 - 7571502*m**3 - 58980738639*m**2 - 26212539924*m - 2912462892 = 0?
-15579, -2/9
Determine v, given that 12*v**4 + 32*v**3 - 12436*v**2 + 73080*v + 85536 = 0.
-36, -1, 22/3, 27
Factor -c**2/3 - 6396974*c/3 + 12793952/3.
-(c - 2)*(c + 6396976)/3
Factor -2*t**3/7 - 5095626*t**2/7 - 10191246*t/7 - 727946.
-2*(t + 1)**2*(t + 2547811)/7
Factor 5*f**2 + 28485*f - 27898740.
5*(f - 852)*(f + 6549)
Suppose 2*q**4/9 + 203078*q**3/9 - 609254*q**2/9 - 203078*q/9 + 203084/3 = 0. Calculate q.
-101542, -1, 1, 3
Factor -2*w**3 + 19270*w**2 + 38578*w - 289110.
-2*(w - 9637)*(w - 3)*(w + 5)
Factor 2*p**2 + 404844*p + 199907730.
2*(p + 495)*(p + 201927)
Let 10*j**3 + 29816*j**2 + 14597592*j - 5843808 = 0. Calculate j.
-2364, -618, 2/5
Find h, given that 4*h**4/7 - 4488*h**3/7 + 947468*h**2/7 - 3731688*h/7 + 2788704/7 = 0.
1, 3, 276, 842
Factor -b**3/4 - 3599*b**2/4 - 293480*b - 25144768.
-(b + 176)**2*(b + 3247)/4
Factor -t**3 - 8254*t**2 + 173677*t - 810950.
-(t - 14)*(t - 7)*(t + 8275)
Solve -4*t**5 - 13956*t**4 - 2664856*t**3 + 11106528*t**2 + 42638720*t - 174131712 = 0 for t.
-3286, -207, -4, 4
Determine k so that 2*k**5/9 - 132662*k**4/9 - 619190*k**3/3 - 5970946*k**2/9 - 6899840*k/9 - 884600/3 = 0.
-10, -2, -1, 66345
Factor 164836*u**2 - 5347832*u/3 + 43375396/9.
4*(609*u - 3293)**2/9
Factor -b**2/3 - 586337*b.
-b*(b + 1759011)/3
Determine o so that 3*o**4 + 2730*o**3 - 6030288*o**2 = 0.
-1944, 0, 1034
Solve -4*o**2/7 + 2273720*o/7 + 109147776/7 = 0 for o.
-48, 568478
Determine w, given that 12*w**5 - 156843*w**4 - 1059090*w**3 - 1922265*w**2 - 706182*w + 313848 = 0.
-4, -2, -1, 1/4, 13077
Suppose -2*j**4/7 + 250*j**3 + 12326*j**2/7 + 19394*j/7 + 1260 = 0. What is j?
-5, -1, 882
What is q in -3*q**2/2 + 538071*q - 7532700 = 0?
14, 358700
Let -6357877490523*m**2/4 + 8734674*m - 12 = 0. Calculate m.
4/1455779
Factor 5*j**3 - 712425*j**2 - 1424865*j - 712435.
5*(j - 142487)*(j + 1)**2
Suppose -20*q**4/3 - 26744*q**3/3 - 2985276*q**2 - 19584256*q/3 - 3558832/3 = 0. What is q?
-694, -641, -2, -1/5
Factor -4*u**3 - 23620*u**2 + 5567856*u.
-4*u*(u - 227)*(u + 6132)
Determine c so that 3*c**3 - 28098807*c**2 + 65795204087040*c + 197385865150464 = 0.
-3, 4683136
Factor -w**2/10 + 31289*w/5 + 563283/10.
-(w - 62587)*(w + 9)/10
Determine z, given that -4*z**4 - 11816*z**3 - 12599124*z**2 - 5720432816*z - 937511935504 = 0.
-986, -491
Let -5*g**2 + 44785*g + 83666640 = 0. Calculate g.
-1587, 10544
Find i such that -7*i**3 + 7215*i**2 - 187878*i + 130520 = 0.
5/7, 26, 1004
Factor -2*h**2/9 - 17898130*h/3 - 17898128.
-2*(h + 3)*(h + 26847192)/9
Determine g, given that -4*g**3 - 117232*g**2 + 3050460*g - 8096184 = 0.
-29334, 3, 23
Find t such that 5*t**3 - 8163395*t**2 - 106124870*t - 179596120 = 0.
-11, -2, 1632692
Let 2*h**4/15 + 7936648*h**3/3 - 15873298*h**2/3 - 7936648*h/3 + 26455496/5 = 0. Calculate h.
-19841622, -1, 1, 2
Factor -4*v**2 - 449442096*v - 12624887353554576.
-4*(v + 56180262)**2
Solve -q**3/4 + 1272375*q**2/2 - 404727537003*q - 8904313731478 = 0 for q.
-22, 1272386
Factor 3*n**2 - 55402746*n + 255788688695043.
3*(n - 9233791)**2
What is y in -2*y**4 + 112124*y**3 - 1571698152*y**2 + 6285335076*y - 4713749046 = 0?
1, 3, 28029
Factor 208*t**3 + 1414*t**2 - 47724*t.
2*t*(8*t - 97)*(13*t + 246)
Let -x**2/4 - 73230*x + 292921/4 = 0. Calculate x.
-292921, 1
Solve o**5 + 3482*o**4 - 48872*o**3 + 251550*o**2 - 566217*o + 471960 = 0.
-3496, 3, 5
Let 200*o**3 + 133240*o**2 + 1343442*o + 3412512 = 0. Calculate o.
-656, -51/10
Factor 4*x**4/11 - 14*x**3/11 + 8*x**2/11 + 8*x/11.
2*x*(x - 2)**2*(2*x + 1)/11
Factor 2*g**2 - 57476436*g - 57476438.
2*(g - 28738219)*(g + 1)
Suppose -9*i**2/10 + 69739*i/10 - 1448916/5 = 0. What is i?
376/9, 7707
Let -21*k**3 - 1740549*k**2 - 5718738*k - 1491840 = 0. Calculate k.
-82880, -3, -2/7
Determine r so that r**5/6 + 1001*r**4/3 + 54927 | {
"pile_set_name": "DM Mathematics"
} |
(0 + -1)/(-4 + -4)*-2. What is the third biggest value in -4, -0.5, p, -0.4?
-0.5
Let d = -10 + 14. Which is the third biggest value? (a) d (b) 6/11 (c) 0.11
c
Let f be (162/24)/(2/16). Let w be f/90*2/(-6). What is the third smallest value in -1/6, 0.1, w?
0.1
Let h = -2.34 + -0.26. Let q = -1.4 + h. Which is the smallest value? (a) 6 (b) -2/11 (c) q
c
Let v be 3/(-165) - (-3)/15. What is the third biggest value in -3/4, 1, v?
-3/4
Let p = -1.6 - 0.4. Which is the biggest value? (a) -14 (b) p (c) -5
b
Let f = 0.32 - 0.45. Let r = -0.27 + f. Which is the second smallest value? (a) 0 (b) -3 (c) r
c
Let o = -1.05 + 1. Let a = o + -0.05. Let l = 2.2 + -2. What is the smallest value in -4, l, a?
-4
Let n = -0.02 + 0.42. Let t = n - 0. Which is the second biggest value? (a) -2/9 (b) -1 (c) t
a
Suppose -3*x = -2*x. Suppose -3*r + r + 4 = x. Let k = -4 - -9. Which is the third smallest value? (a) -1 (b) k (c) r
b
Let m = 40 + -169. Let t = -121.7 - m. Let g = -7 + t. What is the biggest value in -2, -0.4, g?
g
Let q = -5 + 5.03. Let g = 0.77 + q. Let r = 0.3 - g. What is the smallest value in -3, 5, r?
-3
Let x = 20 + 20. Let f be x/(-42) + (-4)/(-14). Let y = 0.05 + -4.05. Which is the third biggest value? (a) 3 (b) y (c) f
b
Let z be 115/(-35) + (5 - 2). Which is the biggest value? (a) 0 (b) z (c) -13 (d) 0.2
d
Let k = -0.04 - 4.96. Let w = k + 13. Let j = -8.1 + w. Which is the smallest value? (a) -0.5 (b) j (c) 2
a
Let h = 3.4 + -5.1. Let o = h - 0.3. Which is the third smallest value? (a) 4 (b) o (c) -0.2
a
Let v(w) = -w**2 - 14*w + 34. Let r be v(-16). Let d = 8 - 4. Which is the third smallest value? (a) -3 (b) r (c) d
c
Let m = -1 - -2. Let w = 27 - 27.4. What is the second smallest value in m, w, -1/8?
-1/8
Let z = 2 + -12. Let o be 1 - z/(-8) - 0. Let b = -170 + 169. What is the third biggest value in o, 0.5, b?
b
Let m = -8.6 + 8. Let k = m - 3.4. Which is the second biggest value? (a) k (b) -2/7 (c) 2
b
Let q = -5 + 5.3. Let i = 0.38 - q. Let u = 0.92 + i. What is the smallest value in 0.5, 5, u?
0.5
Let n = 2 - 0. Suppose 9 = 4*b - b - 3*f, -3*b - 2*f + 9 = 0. What is the second biggest value in n, b, -2/7?
n
Let b = 3 + -2.7. Suppose 4 + 6 = -2*r, a - 4*r = 18. What is the second biggest value in b, 1/9, a?
1/9
Suppose 3*x + 1 = 2*x. Which is the second smallest value? (a) x (b) -3 (c) 3
a
Let n be 10117/(-36) - (-1)/1. Let o = n + 280. Let g = o - -13/36. Which is the smallest value? (a) g (b) -3 (c) -1/4
b
Let r = -5.9 - -6. Let h = 3.6 + -4.6. What is the second smallest value in h, -4, r?
h
Let l = -2.5 - -2. What is the second smallest value in 4, l, 3?
3
Let w be ((-14)/49)/(27/7). Which is the biggest value? (a) w (b) -4 (c) 1 (d) 0.4
c
Let t = -0.03 - 6.97. Let s = 2 + -6. Which is the third biggest value? (a) s (b) t (c) 4
b
Let g = 0.4 - 0.9. Let d = -0.4 - g. Let i = 0 + 0.4. Which is the second smallest value? (a) i (b) d (c) 1/5
c
Let o = 25.6 + -28. Let h = o + 2. What is the third biggest value in -1, h, -4?
-4
Let w = 5.3 + -5. Suppose 4 - 2 = s. Suppose -2*l - s*l + 20 = 0. Which is the second smallest value? (a) 0.5 (b) w (c) l
a
Let g = -2.97 + -0.03. Let r be 15/(-4) - 2/8. Which is the second smallest value? (a) 3/5 (b) g (c) r
b
Let f = 118.6 + -119. Suppose h + 3*h = -4. Which is the third smallest value? (a) 3/4 (b) h (c) f
a
Let d be (-20 - -25)*-1*1. What is the biggest value in -1, d, 0.1?
0.1
Let j = 19 - 18.6. What is the third biggest value in 7, 0.1, j?
0.1
Let w(d) = d**2 + 6*d + 3. Let h = -13 - -8. Let l be w(h). Let p be 0 + ((-6)/10 - 0). What is the second smallest value in 1, p, l?
p
Let n = 0.06 + 0.16. Let o = 0.02 - n. Which is the third smallest value? (a) -0.1 (b) -3 (c) o
a
Let h = 2.05 + -0.05. Let i = 2 - h. Let j = 5 + i. What is the second biggest value in -3, j, 2?
2
Let s = -0.08 + 0.38. Let y = -0.395 + -0.005. Which is the second biggest value? (a) s (b) y (c) 4
a
Let n = 31 - 31.4. What is the second biggest value in 0.2, n, -2/7?
-2/7
Let v = -2/37 + -64/185. What is the third biggest value in -1/3, v, 5?
v
Let i = 6 + -14. Let q = i + 6. Which is the second smallest value? (a) q (b) -0.7 (c) 2/3
b
Let w = 8.2 + -6.2. What is the third biggest value in 0.3, 0.1, 5, w?
0.3
Let m be 2 + (0 + 11)*18. Let d = m - 2602/13. What is the second smallest value in 2, -0.2, d?
d
Let v = -32 - -22. Let s be (-16)/5 + (-2)/v. Let l be 3/15*(-5)/(-2). Which is the biggest value? (a) -0.5 (b) l (c) s
b
Let t be -1 - -7 - (4 - 2). Which is the second smallest value? (a) t (b) -2 (c) 8
a
Suppose 0*n = 3*n + 15. Let g = -16 + 17.9. Let h = g + 0.1. What is the smallest value in 1/3, h, n?
n
Let y = 27.6 + -28. Which is the second biggest value? (a) 6 (b) y (c) 2
c
Let r = 0 - -3. Let x be (-1)/2*(-4)/22. Let u = -0.1 + 0.1. Which is the second biggest value? (a) r (b) u (c) x
c
Let w = -26 - -25.89. Let l = -1.11 - w. Let h = -7 + 6.7. Which is the biggest value? (a) l (b) h (c) 0.2
c
Let p = 14 - 9. Which is the third biggest value? (a) -2 (b) p (c) -1/7
a
Let x = -103.93 + 104. Let m = -4.03 + 6.1. Let p = m - x. Which is the smallest value? (a) -1 (b) 3/4 (c) p
a
Let s be 0 - 6/2 - 3. Let r be 2/s*2/(-3). What is the second smallest value in 0.3, 4, r?
0.3
Let b = -4 - 0. Let d = 0.24 + 0.06. Let v = 0.2 + -0.4. What is the second biggest value in v, b, d?
v
Let h = 216/65 - 38/13. Which is the third biggest value? (a) 2/3 (b) h (c) -1
c
Let t = -0.1 - -2.1. Suppose -b + 14 = -6*b + 2*f, -4*b = 2*f + 22. What is the third biggest value in t, 0.5, b?
b
Let o = 46 - 46.5. Which is the third smallest value? (a) o (b) -8 (c) -3/7 (d) -2/13
c
Let p = 1 + -11. Let z = -12 - p. Which is the third smallest value? (a) z (b) -4/3 (c) 2
c
Let k be (4/(-6))/(10/6). Let f = 0.01 + 1.99. Which is the biggest value? (a) f (b) 1 (c) k
a
Let g = 0.02 + -0.02. Let z = g - 0.4. Which is the biggest value? (a) 0.4 (b) -0.3 (c) z
a
Let g = 3 + -8. Let o = -359.8 + 360. What is the third smallest value in -3, g, o?
o
Suppose -3*t + 16 = 2*r - 6*t, -4*t - 18 = -r. Let b = -2.5 - 0.5. Let f = 2.5 + b. What is the third biggest value in r, f, -3?
-3
Let p = 0.6 + 2.4. Suppose -4*v + 3*v = 2. Let z = 0.1 + 0.4. What is the third biggest value in z, v, p?
v
Let m = -32/3 + 11. Let c = 0.1 - 0.3. Suppose -2*a - 5 = 1. What is the second smallest value in c, m, a?
c
Let k = 1.13 - 1.43. What is the second smallest value in -0.2, -4, -3, k?
-3
Let u = 2.8 + -1.5. Let i = u - 1. What is the second smallest value in 0.1, i, 5?
i
Let k = -141 - -1267/9. Which is the smallest value? (a) -3 (b) -5 (c) k
b
Let o = -12.5 + 12. What is the smallest value in 0.3, -0.1, o?
o
Let s be 6/2 + 132/(-60). What is the second biggest value in -10, s, -4, 0?
0
Let r = 0 + -3. Let c = -14 + 12. What is the third biggest value in c, 2, r?
r
Let v(l) = 2*l**2 + 19*l - 6. Let z be v(-10). What is the second biggest value in 0.4, z, -4?
0.4
Let j be (1/2 + -1)*-8. Let u = 181/3 + -59. Which is the smallest value? (a) u (b) j (c) 0.2
c
Let r(y) = -y**3 - 14*y**2 + 14*y - 19. Let z be r(-15). Which is the second biggest value? (a) z (b) 5 (c) -3
c
Let k = 50 - 56. What is the second smallest value in k, 0.2, 0.4, 0?
0
Let m(v) = -6 - 3*v - 1 + 2*v. Let u be m(-7). Suppose -4*t = 2*j + 8, -t = -u*j + 3*j + 12. What is the smallest value in 2/17, -1, t?
-1
Let g be (-3)/(-12) - 47/(-4). Let z be g/105 + 2/7. Let p = z + -3/20. What is the biggest value in p, -0.1, 0.4?
0.4
Let s = 110 - 110.47. Let h = -0.17 - s. Which is the second smallest value? (a) 3/5 (b) -2/15 (c) h
c
Let v = 18 - 21. Which is the second smallest value? (a) 0.3 (b) 0.2 (c) v
b
Let z = -76/85 - -22/17. Let r = 0.7 + -7.7. Let y = -12 - r. What is the third biggest value in y, z, 2?
y
Let i = -51 - -51.5. Which is the second smallest value? (a) 1/4 (b) 3 (c) -5 (d) i
a
Let z be 1 + 3 - ((-88)/(-6))/4. Let p = 11/14 + -2/7. Which is the second biggest value? (a) 5 (b) p (c) z
b
Let a = -19 - -19.5. What is the smallest value in -3, -0.3, a?
-3
Let z = 3/2 - 25/14. Which is the biggest value? (a) 2 (b) z (c) 1/3
a
Let w be ((-10)/425)/(3/(-5)). Let | {
"pile_set_name": "DM Mathematics"
} |
ermine w(11).
-133
Let v(z) = z**3 + 16*z**2 + 16*z + 22. Determine v(-15).
7
Let q(u) = -5*u + 7. What is q(-12)?
67
Let j(r) = 2*r**2 - 24*r + 65. Calculate j(5).
-5
Let t(q) = 8*q - 8. Give t(4).
24
Let t(h) = -h + 9. What is t(-2)?
11
Let s(t) = 25*t + 101. Calculate s(-5).
-24
Let r(l) = 2*l + 18. Calculate r(0).
18
Let x(q) = -q + 6. Give x(-6).
12
Let g(d) = -d**3 + d**2 + d - 57. Calculate g(0).
-57
Let y(z) = -z**3 - z**2 - 2*z + 140. Give y(0).
140
Let w(m) = 8*m - 31. What is w(-8)?
-95
Let g(s) = -s**3 - 6*s**2 + 5*s + 5. Give g(-5).
-45
Let r(j) = -2*j**3 + 15*j**2 - 26*j + 12. Determine r(5).
7
Let n(w) = w**2 + 5*w - 5. What is n(-5)?
-5
Let i(v) = v**3 + 5*v**2 - 7*v. Give i(-6).
6
Let f(k) = -35*k**3 + 2*k**2 - 1. Determine f(1).
-34
Let o(l) = 2*l**2 + 23*l + 68. Give o(-5).
3
Let d(i) = -i**3 - 8*i**2 - 5*i + 11. Calculate d(-9).
137
Let z(i) = -i**3 - 11*i**2 - 10*i + 3. Determine z(-10).
3
Let j(b) = -3*b + 7. What is j(7)?
-14
Let f(n) = 3*n - 6. Give f(0).
-6
Let z(w) = -w**3 - 5*w**2 - 5*w - 6. Calculate z(-4).
-2
Let h(g) = -2*g**3 - 9*g**2 + 2. Calculate h(-6).
110
Let g(u) = u**3 + 26*u**2 + 28*u + 52. Calculate g(-25).
-23
Let g(k) = 27*k + 589. Determine g(-22).
-5
Let r(b) = 19*b + 351. Determine r(-18).
9
Let p(x) = 34*x**2 - x + 2. What is p(1)?
35
Let o(m) = m**2 + 2*m - 4. What is o(3)?
11
Let s(o) = -4*o - 8. Determine s(-3).
4
Let u(d) = -225*d + 226. Determine u(1).
1
Let y(a) = 16*a - 161. What is y(10)?
-1
Let g(t) = 42*t - 214. What is g(5)?
-4
Let l(m) = -m**3 + 4*m**2 - 33*m + 280. Calculate l(6).
10
Let x(j) = -3*j + 43. Determine x(14).
1
Let p(u) = -u**2 - 23*u - 71. What is p(-15)?
49
Let u(z) = -7*z**2 + 2*z - 1. Give u(1).
-6
Let j(n) = 5*n + 16. Calculate j(-7).
-19
Let s(g) = g**2 + 46. Give s(-11).
167
Let p(u) = -2*u**2 + 15*u + 15. Determine p(8).
7
Let x(j) = -j**3 - 13*j**2 + 27*j + 180. Give x(-14).
-2
Let t(x) = -x - 27. Calculate t(-22).
-5
Let m(h) = -4*h - 3. Give m(5).
-23
Let r(v) = v**3 - 5*v**2 - 13*v - 6. Give r(7).
1
Let c(a) = a - 9. Give c(5).
-4
Let y(o) = 2*o**3 - 49*o**2 + 24*o + 3. What is y(24)?
3
Let g(u) = -15*u + 6. Calculate g(2).
-24
Let o(s) = s**3 + 4*s**2 - 4*s - 2. Give o(-5).
-7
Let x(r) = -3*r - 44. Calculate x(-15).
1
Let t(j) = -j**3 + 6*j**2 - 10*j + 1. Calculate t(5).
-24
Let t(r) = -r**3 - 6*r**2 - 5*r - 8. Calculate t(-5).
-8
Let o(w) = 19*w**2 + 2*w + 1. What is o(-1)?
18
Let g(y) = -y**3 - 2*y - 10. Calculate g(0).
-10
Let m(t) = 23*t**3 + t**2 - 2*t - 3. Determine m(-1).
-23
Let a(g) = -3*g + 61. Calculate a(-25).
136
Let v(a) = -13*a**2 + a. Determine v(1).
-12
Let s(d) = d**3 - 8*d**2 + d - 9. Calculate s(6).
-75
Let f(u) = 177*u + 5. Calculate f(0).
5
Let i(s) = -s**3 - 7*s**2 + 5*s + 17. Determine i(-7).
-18
Let m(p) = -5*p + 12. Calculate m(-4).
32
Let o(g) = 2*g**2 - 10*g + 20. Give o(5).
20
Let y(j) = -j. Determine y(-3).
3
Let k(m) = -m + 9. Determine k(16).
-7
Let b(n) = -4*n + 11. What is b(7)?
-17
Let i(j) = -j**3 + 9*j**2 - 12*j - 8. Give i(7).
6
Let x(y) = -y**2 + 3*y - 22. What is x(0)?
-22
Let d(h) = -h**3 + 28*h**2 - 30*h + 37. Calculate d(27).
-44
Let w(c) = c**3 - 6*c**2 - 4*c - 9. Calculate w(7).
12
Let f(m) = 2*m - 10. What is f(0)?
-10
Let y(x) = x**2 - 2*x + 6. What is y(4)?
14
Let p(g) = -g**3 + 7*g**2 - g - 6. What is p(7)?
-13
Let g(n) = -n**3 + 28*n**2 + n - 19. Calculate g(28).
9
Let m(y) = -4*y**2 + 4. Determine m(2).
-12
Let l(f) = -f**2 - 30*f - 92. Determine l(-27).
-11
Let c(j) = -j**3 + 3*j**2 - j - 3. Give c(3).
-6
Let k(m) = m**2 - 10*m + 10. Give k(9).
1
Let a(f) = f**3 - 9*f**2 - 8*f - 17. Give a(10).
3
Let m(q) = -5*q - 74. What is m(-15)?
1
Let h(n) = -n**3 - 15*n**2 + 14*n - 33. What is h(-16)?
-1
Let i(y) = -8*y. Calculate i(3).
-24
Let c(x) = x**2 + 12*x - 20. Give c(-13).
-7
Let n(z) = -2*z - 50. Give n(-25).
0
Let n(g) = -4*g - 21. Give n(-8).
11
Let v(f) = 2*f**2 - 3*f - 2. What is v(4)?
18
Let y(w) = w**2 + 9*w + 15. What is y(-7)?
1
Let o(j) = j**2 + 8*j + 8. Give o(-6).
-4
Let w(f) = f**2 - 4*f + 1. Determine w(6).
13
Let t(i) = 18*i + 101. Calculate t(-6).
-7
Let b(h) = h**3 - 11*h**2 - 11*h - 20. Calculate b(12).
-8
Let n(w) = 27*w + 190. Give n(-7).
1
Let d(u) = -u**3 - u**2 + 4*u - 42. Give d(0).
-42
Let k(x) = x**2 + x + 17. What is k(8)?
89
Let s(x) = -11*x + 23. Give s(10).
-87
Let x(r) = -2*r - 43. Determine x(-18).
-7
Let m(z) = -2*z**2 + 4*z. Determine m(4).
-16
Let w(k) = -k**3 - 3*k**2 + 2*k + 7. What is w(-3)?
1
Let m(l) = l**3 - l**2 + 7*l - 5. Give m(4).
71
Let l(c) = c**3 - 18*c**2 - 2*c + 29. Give l(18).
-7
Let v(y) = -38*y - 30. Determine v(-3).
84
Let n(a) = -6*a - 178. What is n(-26)?
-22
Let s(v) = -31*v**3 + 2*v - 1. What is s(1)?
-30
Let v(n) = -5*n**2 + 3*n + 11. What is v(4)?
-57
Let d(s) = 4*s - 65. Give d(16).
-1
Let t(l) = -l**3 - l**2 + 2*l - 4. What is t(-2)?
-4
Let o(u) = 4*u + 29. What is o(-7)?
1
Let t(b) = 47*b + 335. Give t(-8).
-41
Let v(l) = l**3 - 8*l**2 - 88*l - 8. Give v(-6).
16
Let w(j) = j - 13. Calculate w(-4).
-17
Let v(f) = -f**2 - 12*f - 12. Calculate v(-10).
8
Let q(d) = d**3 + 5*d**2 - 13. Calculate q(-5).
-13
Let p(t) = -2*t**2 + 8*t - 12. What is p(4)?
-12
Let h(a) = a - 21. Determine h(15).
-6
Let h(a) = -a**3 - 23*a**2 - 63*a - 59. Give h(-20).
1
Let r(u) = u**3 - u**2 - 4*u + 1. Determine r(-2).
-3
Let q(k) = k**2 + 10*k + 5. Determine q(-7).
-16
Let c(v) = v**2 - 11*v + 17. What is c(8)?
-7
Let w(n) = n**2 - 15*n - 71. Determine w(19).
5
Let r(f) = f**2 + 83*f + 244. What is r(-80)?
4
Let u(r) = -r**2 + 9*r - 1. What is u(6)?
17
Let k(g) = g**3 - 12*g**2 - 13*g + 1. Calculate k(13).
1
Let t(s) = s**3 + s**2. Determine t(-1).
0
Let f(d) = -d**2 + 7*d + 105. Give f(14).
7
Let z(y) = 2*y**3 - 3*y**2 - y + 2. Determine z(2).
4
Let z(k) = -3*k**3 + 4*k**2 - 5*k + 2. Give z(3).
-58
Let m(y) = 26*y - 2. Calculate m(-1).
-28
Let s(t) = -t**2 + 15*t + 10. Give s(15).
10
Let l(h) = 3*h - 2. What is l(0)?
-2
Let m(c) = c**3 + 10*c**2 - c + 4. Calculate m(-10).
14
Let x(d) = -d**2 - d + 10. Give x(4).
-10
Let x(l) = l**3 - 10*l**2 + 12*l + 6. Determine x(9).
33
Let t(b) = 2*b**2 - 22*b + 3. What is t(12)?
27
Let a(o) = -o**2 + 10*o - 55. What is a(6)?
-31
Let m(y) = y**2 + 10*y - 3. Give m(-7).
-24
Let j(u) = u + 82. Determine j(0).
82
Let f(b) = -b**2 - 2*b + 5. Calculate f(-4).
-3
Let j(m) = m**3 - 3*m**2 - m - 6. Determine j(5).
39
Let u(g) = -g**2 - 5*g - 7. Determine u(-6).
-13
Let w(o) = o**2 + 15*o - 496. Calculate w(16).
0
Let t(w) = 6*w + 60. Calculate t(-11).
-6
Let c(f) = 2*f**2 + 2*f - 3. Calculate c(5).
57
Let x(b) = -b**2 + 7*b + 14. Give x(8).
6
Let i(h) = -81*h - 1. What is i(-1)?
80
Let u(a) = -a**3 + 18*a**2 + 21*a - 27. Calculate u(19).
11
Let r(p) = -p**2 - 7*p - 28. Determine r(-8).
-36
Let s(i) = -i**3 - 34*i**2 - 64*i - 5. Give s(-32).
-5
Let f(c) = -2*c**3 - 27*c**2 + 16*c + 46. Determine f(-14).
18
Let r(d) = -4*d - 31. Calculate r(-10).
9
Let z(v) = v**3 - 11*v**2 - 6*v - 24. Determine z(12).
48
Let a(o) = -4*o**2 + 16*o - 30. What is a(5)?
-50
Let h(f) = 7*f + 81. Determine h(-12).
-3
Let s(f) = -5*f + 7. Give s(3).
-8
Let z(s) = -s**3 + 5*s**2 + 2*s. What is z(4)?
24
Let u(l) = 7*l + 30. What is u(-5)?
-5
Let p(r) = -r**2 + 20*r + 37. What is p(22)?
-7
Let v(a) = -a**3 + 13*a**2 + 4*a - 32. Give v(13).
20
Let n(p) = -2*p + 4. Calculate n(-9).
22
Let o(i) = -4*i**3 + 2*i**2 + 5*i + 7. Calculate o(-3).
118
Let a(g) = 4*g**2 + 22*g - 8. Determine a(-6).
4
Let a(z) = 39*z - 1. What is a(1)?
38
Let x(p) = -7*p + 42. Determine x(5).
7
Let w(f) = -f**3 + 12*f**2 + 86*f - 19. What is w(17)?
-2
Let q(d) = -34*d + 204. What is q(6)?
0
Let b(m) = -m**2 - 9*m + 26. Determine b(-11).
4
Let p(f) = 2*f**2 + 3*f + 5. Give p(6).
95
Let j(z) = -3*z + 16. Calculate j(5).
1
Let m(i) = -42*i + 379. Calculate m(9).
1
Let s(l) = -l**2 - 36*l - 63. Determine s(-34).
5
Let t(l) = 2*l + 2. Determine t(3).
8
Let q(x) = -x**3 - 9*x**2 - 13*x + 13. Calculate q(-5).
-22
Let y(z) = -z**2 - 13*z - 1. Calculate y(-12).
11
Let b(x) = x**3 + 10*x**2 - 39*x - 8. Give b(-13).
-8
Let m(o) = -o**3 + 22*o**2 - 17*o + 8. What is m(21)?
92
Let q(f) = f**3 - 14*f**2 + 8*f + 11. What is q(13)?
-54
Let a(x) = x**3 + 4*x**2 + 10*x + 87. Determine a(-5).
12
Let z(a) = -2*a + 17 | {
"pile_set_name": "DM Mathematics"
} |
- 2429*r - 2*z. Let d(v) = v**3 + 3*v**2 - 1. Calculate the remainder when d(6) is divided by r.
11
Suppose -44 = 5*r - 99. Suppose 0 = -r*x + 5*x - 162. Calculate the remainder when 314/6 + (-18)/x is divided by 8.
5
Let z be -8 - ((-4)/(-2) + -10). Suppose -3*u - 14*m + 61 = -16*m, z = -4*u + 3*m + 83. What is the remainder when 78 is divided by u?
10
Let c(x) = 151*x**2 - 182*x - 8. Calculate the remainder when c(5) is divided by 52.
49
Let u be ((-13)/2)/(15/(-30)). What is the remainder when (u + 18)/(((-6)/2)/(-6)) is divided by 21?
20
Let k = 183 + -184. Let s(c) = -3*c + 3 - 4 - 4*c**2 + 13*c**2. What is the remainder when 64 is divided by s(k)?
9
What is the remainder when 405 is divided by 1193/6 - (106/12 - 9)?
7
Suppose -4*x + 230 = 3*o, -4*x - 2*o + 239 = 7. What is the remainder when 136 is divided by x?
18
Let z(x) = -1213*x + 52. Let h be z(10). What is the remainder when (-1 - h/45) + (-4)/10 is divided by 21?
15
Let f = -4552 + 4654. What is the remainder when 543 is divided by f?
33
Let f = -6 - -9. Let l = -63 - -214. What is the remainder when l is divided by 18 + f/(6/8)?
19
Let g(t) = -2*t**2 - 25*t - 7. Let n be g(-12). Let z(p) = 3*p + 17. Calculate the remainder when z(n) is divided by (-3)/(6/(-14) - 0).
4
Let a(m) = 134*m - 7. Let y = -16300 - -16310. What is the remainder when a(4) is divided by y?
9
Suppose 0*j - k + 4 = -j, -k = 2*j + 14. What is the remainder when -43*(-6 + (-1 - j)) is divided by 5?
3
Let j(p) = p**3 + 43*p**2 + 69*p - 503. What is the remainder when 8278 is divided by j(-41)?
28
Suppose -5*g = -5*r - 26 + 1, -r + 22 = 2*g. Suppose -g*b + 1700 = 314. What is the remainder when b is divided by 20?
14
What is the remainder when (0 + 3)/(25/(-11500)*-12) is divided by 0 - (0 - -1 - 25)?
19
Suppose -174*m + 89917 - 35629 = 0. What is the remainder when m is divided by 41?
25
Suppose 2361 = 3*y - 33*m + 34*m, 13*m = 3*y - 2445. Calculate the remainder when y is divided by 204.
177
Suppose 0 = -5*v + 2*v + 117. Suppose -462*p = -468*p - 156. What is the remainder when v is divided by 4 + p/(-6) + 2/(-6)?
7
Let c(s) = -s + 3. Let o = -180 - -220. Suppose -105 = o*m - 45*m. Calculate the remainder when m is divided by c(-5).
5
Let d be 0/(-1 + (-3 - -2)). Suppose 5*q + 2*g = 38 - 3, d = 2*q + g - 13. Suppose -41 + 11 = -y. Calculate the remainder when y is divided by q.
3
Let u(t) = 2*t**2 - t. Suppose -2*s + 113 = 4*q + 75, 4*q + 79 = 7*s. What is the remainder when u(-3) is divided by s?
8
Let f(h) = -h**2 - 3*h + 14. Let p be f(6). Calculate the remainder when -255*(1*-4 - 144/p) is divided by 4 + -1 + (12 - -6).
18
Let s = -1797 + 2051. Calculate the remainder when s is divided by 25.
4
Suppose -5*u = -2*t + 2019, u = 3*t - 4*t + 999. Calculate the remainder when t is divided by 145.
132
Calculate the remainder when 13 + 9285 - (192/(-12))/4 is divided by 21.
20
Suppose 1626*g - 1661*g + 16800 = 0. Calculate the remainder when g is divided by 9.
3
Suppose -20*o - 3087 = -41*o. Calculate the remainder when 709 is divided by o.
121
What is the remainder when ((-5610)/(-153))/((-2)/(-3)) is divided by 47?
8
Let a = 395 - 423. What is the remainder when 58 is divided by -15 + 21 - a/2?
18
Let z = 40 - 43. Let y be 3*z/(-9)*1. Suppose -m - v + y = -0*m, 0 = m - 2*v - 16. Calculate the remainder when 10 is divided by m.
4
Let d(m) = -2*m**3 - 8*m**2 + 11*m + 7. Let h be d(-5). What is the remainder when (-672)/40*(-5)/h is divided by 13?
3
Let s = 33014 + -32748. Calculate the remainder when s is divided by 25.
16
Suppose 5*q - 6 = 4*q + 3*l, 5*q + l = 14. Suppose -2*g = 4*w - 118, q*g + 5*w - 150 = 26. Calculate the remainder when 624 is divided by g.
54
Let b = 5 + 41. Suppose 6*y + 8*y - 1620 = 270. Calculate the remainder when y is divided by b.
43
Suppose 228998 = 621*f - 599*f. What is the remainder when f is divided by 267?
263
Let w = -3108 + 3461. Calculate the remainder when w is divided by 326.
27
Let n = 1773 - 1752. Calculate the remainder when 53 is divided by n.
11
Let j(z) = 62*z**3 + 34*z**2 - 38*z + 2. Calculate the remainder when 4555 is divided by j(1).
55
Let h = 155 - 105. Let r(x) = -51*x + 14. Let o be (12 + -4)*-1 - -8. What is the remainder when h is divided by r(o)?
8
Let j = 17 - -9. What is the remainder when j is divided by (-19 + (-4 - -14))*2/(-2)?
8
Suppose 467 = 4*u + 91. Suppose 139 = 3*h + 2*w + 66, -3*h - w + 74 = 0. What is the remainder when u is divided by h?
19
Calculate the remainder when 40/(-6)*61686/(-745) is divided by 51.
42
Suppose 127 = 27*p - 62. Let g(z) = -z**2 + 5*z. Let c be g(5). Suppose c = 5*h - 133 + 48. Calculate the remainder when h is divided by p.
3
What is the remainder when (-10)/35 - (3 - (-37592)/(-56)) is divided by 276?
116
What is the remainder when (-11762)/(-8) + (-413)/(-236) is divided by 123?
119
Let w = -6399 + 6639. Calculate the remainder when 608 is divided by w.
128
Calculate the remainder when 126 is divided by (-6)/(-11)*(-9438)/(-99).
22
Suppose 3*v - 110 = -38. Suppose -8*f = -6*f + 2*r + 22, -3*f - 5*r - 31 = 0. Let n = 102 + f. What is the remainder when n is divided by v?
18
Suppose -4*q = -2*p - 111 - 351, -4*p = -5*q + 579. Let j = 146 - q. Calculate the remainder when 215 is divided by j.
29
Let z be ((-12)/(-2) - -1) + -1. What is the remainder when (-5 + z)*(-11)/(11/(-158)) is divided by 46?
20
Let y = 1104 + -553. What is the remainder when y is divided by 266?
19
What is the remainder when ((-382551)/(-234) - (-27)/(-6)) + 10/6 is divided by 40?
32
Let w(q) be the first derivative of q**3 - 5*q**2 + q + 5. Calculate the remainder when w(4) is divided by -1 + 2 - (-2)/1.
0
Suppose -4*q + 264 = -2*r, -99 - 216 = -5*q - 5*r. Let x = -132 - -388. Calculate the remainder when x is divided by q.
61
Suppose 20*g = g + 39598 + 11683. Calculate the remainder when g is divided by 15.
14
Let d(k) = 189*k**2 - 46*k - 33. What is the remainder when d(-4) is divided by 17?
13
Let o(k) = -k**2 - 13*k + 13. Suppose 18 = -g - 5*j, -5*g - 2*j - 60 = -7*j. What is the remainder when o(g) is divided by 5?
3
Suppose -6*w = -4*w - 130. Let c(l) = -6*l - 44. Let x be (26 + 11 + -4)/(-3). Calculate the remainder when w is divided by c(x).
21
Suppose 19 = m - 2*h, -4*m + 3*h = -7*m + 66. Suppose -5*r + 2*r + 2*j = m, j = 2*r + 15. Calculate the remainder when 46 is divided by 9/(-3)*r - 14/7.
21
Suppose 0 = -5*l + 39*l + 7*l - 13776. Calculate the remainder when 1432 is divided by l.
88
Suppose 12*g + 16 = 20*g. Suppose 0*l + 2*l + g*x = 660, 664 = 2*l + x. What is the remainder when l is divided by 56?
54
What is the remainder when (((-176)/16)/(-11))/(1/252) is divided by 52?
44
Let u = -9359 + 9422. Calculate the remainder when 1257 is divided by u.
60
Suppose 0 = 4*x - 3*x + 73. Let s(j) = -j**3 + 34*j**2 - 65*j - 28. Let t be s(32). Let w = t - x. Calculate the remainder when 25 is divided by w.
12
Suppose 2*h - 363 + 324 = i, -36 = -h - 5*i. What is the remainder when 853 is divided by h?
13
Suppose -957*v + 28 = -950*v. Suppose -2*d + v*n + 560 = -2146, n - 5412 = -4*d. What is the remainder when d is divided by 12?
9
Let q = 151 + -145. Calculate the remainder when (-4)/((-820)/(-3115) + q/(-21)) is divided by 45.
43
Let d = -55 + 59. Let g(l) = 3*l**2 - 10*l + 6. What is the remainder when g(d) is divided by 6?
2
Suppose 5*a + 3*x = 129, 4*x - 9 = x. Suppose -5*l = -2*o - 44, 10*l - 44 = o + 53. Calculate the remainder when a is divided by l.
4
Suppose 5*p = 10*p - 3*r - 14, 5*r + 17 = 2*p. Calculate the remainder when 27 is divided by (-5)/p + -17 + 37.
12
Let h be (1*-1)/(5/(-75)*-1). Calculate the remainder when (-3194)/(-10) + 6/h is divided by 20.
19
Let z(b) = b + 3. Let u = -7 + 12. Let a be z(u). Suppose 2*v + 0*q + q - 82 = 0, 0 = 2*q - a. What is the remainder when v is divided by 14?
11
Let f be 1/(-4) - (-484)/(-16)*-1. Suppose -c - 4*j = -2*j - 26, -c + f = j. What is the remainder when 202 is divided by c?
32
Suppose -20*a = -19*a - 3*q - 3348, 2*a - 4*q = 6706. Calculate the remainder when a is divided by 18.
15
Let y = -8 - -10. Suppose 2*p + y*p = 3*s + 1529, 4*p + 5*s = 1537. Calculate the remainder when p is divided by 55.
53
Let p = -4057 - -4080. What is the remainder when p is divided by 12?
11
Suppos | {
"pile_set_name": "DM Mathematics"
} |
/12)
Simplify (((t/(t**(-1)/t)*t*t)/t)/(t*(t**(-7)/t)/t)*t**1*t*t*t*t*t/(t**(2/5)/t*t)*t*t)/((t**(-1/4)*t)/t**6*(t*t**3/t)/(t/t**(-1/4)*t)) assuming t is positive.
t**(241/10)
Simplify (c**(1/3)*c*(c*c/c**0*c)/c*c)**(-40)/((c/c**(-3))/c**(2/9))**(-2/23) assuming c is positive.
c**(-35812/207)
Simplify ((v/v**12*v**0/v)/(v**(-1))**(2/119))**9 assuming v is positive.
v**(-12834/119)
Simplify ((((h*h/(h**(6/7)*h))/h*h/((h*h/((h*h**25*h)/h))/h))**(-18))**(-37))**9 assuming h is positive.
h**(1054944/7)
Simplify ((n**(-1))**(-10)*(n**(2/7))**(-32))/((n**(-1)*n)**(-2/11))**(-2/63) assuming n is positive.
n**(6/7)
Simplify ((((j/j**(-5))/(j/j**12))**42)**(11/2))**19 assuming j is positive.
j**74613
Simplify (m*m**(-2/13)/m*m/(m*(m/(m/(m*m**1)))/m*m*m))**30*((m**(-5)*m)/((m/m**12)/m))**33 assuming m is positive.
m**(2202/13)
Simplify ((o**(-2/15)/o)/(o/(o/(o/(o/((o/(o/(o/o**7))*o*o)/o*o*o))*o))))**(-2/29)*(o/(o**(-2/5)/o))**(9/5)/((o/(o**0*o))/o)**(-16) assuming o is positive.
o**(-25534/2175)
Simplify ((o/(o*o**(-3/10)*o)*o*o*o*o**(-30))/(o**(1/12)/o*o)**(5/12))**(-9/5) assuming o is positive.
o**(19969/400)
Simplify (m**(-3)/m**33)/(m/(m/(m**11*m))*m/(((m/m**(-5/4)*m)/m)/m)) assuming m is positive.
m**(-191/4)
Simplify ((a/((a**7*a)/a))/a**(-2/9))**(-13)/((a/(a/(a/(a**(-4/9)*a))))/a**4*a**(-8/7)/a**(-5)) assuming a is positive.
a**(1571/21)
Simplify (q**(-2/7))**35*(q*q**(-1))**32*(q**(-3)/q*q**(2/11))**(-26) assuming q is positive.
q**(982/11)
Simplify (((f**(-3/2)/f*(f*f*f**11/f)/f)/(f**(2/3)/(f**(4/7)/f*f)))**39)**31 assuming f is positive.
f**(142259/14)
Simplify (r**(-5/4)/((r/(r*r*r/(r**(-2/7)/r)))/r*r))/(r**(-3/4)*((r/r**(1/5))/r)/r)*(r/r**1)**(3/13)/(r/r**(2/5))**(-12/5) assuming r is positive.
r**(1899/350)
Simplify (((((y/(y/(y*y**(1/7)/y)*y))/y*y)/(y**(-9/7)*y*y))/(y**(5/4)*y**(3/5)/y))**23)**(2/19) assuming y is positive.
y**(-7797/1330)
Simplify (r**(1/7)/r)/(r*r*r*r/(r*r**1*r)*r)*r**5/((r*r**5/r)/r)*((r**(-2)/r*r)/((r/(r**(-1/7)/r*r))/r))**(-1/11) assuming r is positive.
r**(-128/77)
Simplify ((m**(-1/9)/m**(-1/6))/(m**(-1/4))**(-38))/((m**(-1)*m*m/((m*m**(-1/9))/m))/(m*m*m**(-1/3)*m)**(-12)) assuming m is positive.
m**(-383/9)
Simplify ((t/((t**(2/7)*t)/t))**(-1)/(t**(-2/5))**(-2/61))/((t/t**(-5))/(t*t**6))**(-38) assuming t is positive.
t**(-82683/2135)
Simplify (((o**(-1/4))**(-5)*(o*o*((o**(-12)*o)/o)/o)/(o**(11/3)/o))**(-2/19))**41 assuming o is positive.
o**(6109/114)
Simplify ((((y*(y*y**(-6))/y)/y)/(y*y**(-2/27)))**(-44))**(2/77) assuming y is positive.
y**(1496/189)
Simplify ((b**(-5)*b)/((b**6*b)/b))**(2/5)*(b*b*b**(-7)*b*b*b**(-1/2))**19 assuming b is positive.
b**(-141/2)
Simplify ((z/(z/((z**(2/5)*z)/z)*z*z)*z**(-2/19))/(z/z**(-2/3)*z)**28)/((z/(z*z**(-2/7)))**(-2/75)*z*((z**6*z)/z)/z*z**6) assuming z is positive.
z**(-881434/9975)
Simplify ((((t**(-10)/t)**(-17/7))**(-7))**32)**(-20) assuming t is positive.
t**119680
Simplify ((f**13/(f*f/(f/(f/(f/(f**(-12/5)/f)*f)))*f))/(f**(-8))**(-32))**(-2/21) assuming f is positive.
f**(802/35)
Simplify ((o**(-4))**(1/5)*(o**(2/7)*o)**(-10))**(-3/2) assuming o is positive.
o**(717/35)
Simplify (x*x/(x**(-3/8)*x)*x**(-4/3))/(x**(-1/3)/x)**44*(x**(-3/7)*x*x**(-5)/x)/(x**(-1/4)/x**(-1/8)) assuming x is positive.
x**(2243/42)
Simplify (i**6/(i*i*i**8*i*i))**(-1/30)/((i**2*i)/i**(4/7))**(-32) assuming i is positive.
i**(2727/35)
Simplify ((((w**(2/7))**(-1/6))**5)**(-7))**25 assuming w is positive.
w**(125/3)
Simplify (g*g**(-2/85)*g**(-1/26)*g*g**(-20)*g/(g/g**(2/55)*g)*g)**(1/35) assuming g is positive.
g**(-438203/850850)
Simplify ((y/(y/((((y**(-11/2)/y)/y)/y)/y))*y)**(-2/87)*(y*y**(-8))/(y*y/(y/((y/y**(18/7))/y))))**(1/4) assuming y is positive.
y**(-3187/2436)
Simplify ((h*h*h**(3/8)*h)/h**(-8))/((h/(h/((h*h**(8/5)*h)/h))*h)/(h**5*h))*(h/(h*h*h**(-2/7)))**(2/5)*(h**4*h)/((h*h*h**6)/h*h) assuming h is positive.
h**(2937/280)
Simplify (((x*x**29)/x**(-2/11))/(x**(-5/4)/(((x**(-2/107)/x*x)/x)/x)))**10 assuming x is positive.
x**(692385/2354)
Simplify (((k*k**4*k*k)/(k*k/(k*k**8)))/(k**(-2/7))**33)/(((k/(k*k/k**2)*k)/k*k)**40/(((k/k**(3/11))/k)/(k**(-4/9)/k))) assuming k is positive.
k**(-38392/693)
Simplify ((a*a*a**1)**43)**(15/4)/((a**1)**(-8)/(a**(-6)/(a**(4/7)*a))) assuming a is positive.
a**(13557/28)
Simplify (((q*q**(-17/5)*q*q)/q)/q**(-11)*(q/(q*q**11*q))/q*q**(-12))**(-21) assuming q is positive.
q**(1617/5)
Simplify (p**(-6/5)/p**(-2/13))**(-26/9)*((p/((p**(-1/4)/p*p)/p))/p)**18*p**(-2/31)/p**(-4) assuming p is positive.
p**(82187/2790)
Simplify ((m**(-2/3))**(19/5)/(m**(-2)*(m**(-4)/m*m)/m))/((m/m**0*m/(m/((m*m**1/m)/m)))/((m/m**(1/4))/(m**(-5)/m*m*m))) assuming m is positive.
m**(493/60)
Simplify ((b/(b*b*b**(2/29))*b*(b*b**2)/b*b*b*b*b**(-9)*b**(-8/3)*b)**(2/19))**(-1/10) assuming b is positive.
b**(499/8265)
Simplify (d**(3/2)*(d/(d**(3/8)/d))/d)**(7/3)/((d**(-1)*d)**23*d**(-3)/(d**(-2/5)/d)) assuming d is positive.
d**(787/120)
Simplify ((f*f**(-3/8)*f*f/f**(1/8))/(f**1)**(-22/5))/((f**(-4)*f*(f**(-4/3)/f)/f)/(f**1)**15) assuming f is positive.
f**(847/30)
Simplify ((n/(n/(n/(n*n**(-19)*n))))/n**(-11/6))/(n**20*n**(1/10)*n) assuming n is positive.
n**(-19/15)
Simplify ((r*r**(-7)/r)/r*r**8)**(-22)/(((r**(2/3)*r)/r*r**6/r*r)/(r**0)**(-5/4)) assuming r is positive.
r**(-20/3)
Simplify (k**(4/7)/k**(-5/4))**(7/9)*((k*k*(k*(((k**(2/13)/k)/k)/k)/k*k)/k*k*k)/k*k/(k**(2/25)*k))**(15/4) assuming k is positive.
k**(1321/780)
Simplify (q**1/q)**18/((q/((q*q**(-2/5)/q*q)/q))/(q*q**5/q))*(q**(4/9)/((q**(-2)*q*q)/q))/(q/(q/(q/(q*q**(-2/3))))*(q/(q*q**(-1/9)))/q) assuming q is positive.
q**(79/15)
Simplify (w**(-7/2)*w*w*w*w*w/((w**(-3/2)*w)/w)*w*w**(-5)/w**(-4))/((w**4*w**(-2/5)/w)/((w**1/w)/w)**(-10/11)) assuming w is positive.
w**(72/55)
Simplify z**(-7)*z/z**(5/4)*(z*z*(z**(-2/29)*z)/z*z)/z**7*((z**1/z)**(-39))**(-8) assuming z is positive.
z**(-1313/116)
Simplify (f**(-1/5)/f**2)**23*((f/(f/(f*(((f/(f*f/f**(2/11)*f))/f)/f)/f)))/f**1)/((f**(-6)*f)/f*f*(f*f*f**(2/5))/f*f) assuming f is positive.
f**(-581/11)
Simplify (q**(2/7))**(-25)*q**0*q**(1/5)*(q**(-14)/q**(-11/5))**(-5/2) assuming q is positive.
q**(1579/70)
Simplify (((x**11/x**(6/11))**(3/7))**(-20))**(-47) assuming x is positive.
x**(324300/77)
Simplify ((a**4*a*a**(-2/9)/a*a)/(a**(-1/12)*a**(-2/7)/a))/(((a/(a**(-2/5)/a))/(a/((a/(a**(-3/10)/a))/a*a)))/(a**4/(a*a*a**1/a))) assuming a is positive.
a**(5603/1260)
Simplify ((c*c**(-4/5))/c**(-2/13))**(-3)*(c**1)**24/(c/c**0)**(2/33) assuming c is positive.
c**(49073/2145)
Simplify ((y*y**(-22)*y)/((y*y**(-3/4)*y)/y)*(y*y*y*y*(y*y*y/y**(-9)*y*y)/y*y)**(1/5))**(4/23) assuming y is positive.
y**(-333/115)
Simplify (q**(1/3))**(-2/29)*(q*q**(-2)/q*q*q)**(7/6)*(q**1*q**(6/11))/(q**(-2)/q)**9 assuming q is positive.
q**(27296/957)
Simplify ((z**13)**6/(z/(z/(z*z**3)))**(-1/23))**(-43) assuming z is positive.
z**(-77314/23)
Simplify (m*m**5*(m*m*m/(m**(-5)*m))/m*(m**0)**26)/((m**(-2/3))**(14/9))**9 assuming m is positive.
m**(64/3)
Simplify (g**(-2/5))**42*(g/g**2)/(g**(-2/7)/g)*((g**1*g)**(-2/5))**11 assuming g is positive.
g**(-886/35)
Simplify (k**2)**9*(k*k/k**8)/(k**(2/9)/k)*(k*k**(-1/7)*k*k/(k/(k/(k/((k*k*k**0)/k))*k)*k))**32 assuming k is positive.
k**(6565/63)
Simplify ((z/z**(-1/3)*z*z*z*(z/(z**7*z*z*z)*z)/z*(z/z**(2/7))/(z*z**(-10)))**6)**48 assuming z is positive.
z**(10176/7)
Simplify (k*k**(1/9)*k)**(-13)*(k*k/((k/(k/k**(-1/4)))/k))**11 assuming k is positive.
k**(299/36)
Simplify (r**(-6)/(r**(1/4)*r))**(-2/7)/((r**(-1)/r*r*r**(1/4))/(((r*r**2)/r)/r**0)) assuming r is positive.
r**(135/28)
Simplify ((h/(h**(-1/6)*h))/h**(-3/22)*((h*h/(h*h**1)*h)/h*h*h)**(-1/38))**(6/13) assuming h is positive.
h**(314/2717)
Simplify ((u**(2/7)*u**(1/4)*u**(2/3)/u**(-2/11))**(2/15))**(2/141) assuming u is positive.
u**(1279/488565)
Simplify ((a**(-12)/a)/((a*a/(a*a**(-2/7)))/a))**28*(a/a**(2/21)*a**(-2))/((a**1/a)/((a/a**(1/8))/a)) assuming a is positive.
a**(-62701/168)
Simplify ((i/(i*i**0))**(4/7))**(1/51)*(i/(i**3/i)*(i/(i*i**(2/5)/i)*i*i)/i)/((i*(i**(-1/4)*i)/i)/i**(3/5)) assuming i is positive.
i**(9/20)
Simplify ((v*v**(1/4))**(-9)*v*v**(1/6)*v**(-7/2))**(-5/3) assuming v is positive.
v**(815/36)
Simplify (x**(2/11)*x**(1/29)*(x/(x*x*x**(-1/3)/x*x))**(5/11))**(-4) assuming x | {
"pile_set_name": "DM Mathematics"
} |
4*h + h, -44 = -q + 3*h. Is q a multiple of 11?
False
Suppose -3*k + 0 - 18 = 0. Let d = k - -10. Is (-115)/(-10) + 6/d a multiple of 13?
True
Is 105 + (-4 - -2) + 3 + 0 a multiple of 5?
False
Let o(f) = 16*f. Let h be o(-1). Let r be (3 - (-108)/h)*4. Is 4 a factor of 140/r*(-6)/4?
False
Suppose 11*b = 8*b + 2700. Is b a multiple of 49?
False
Does 13 divide (12 + 1)/((-3)/(-45))?
True
Let j = 206 - 104. Suppose -7*d + d + j = 0. Is d a multiple of 3?
False
Suppose 0 = -2*g + 10, -3 = 3*l - 4*g + 29. Let n = l + 14. Suppose -8*d - 108 = -n*d. Is 18 a factor of d?
True
Let y be (0 - -312) + -12*(-7)/28. Let c = -210 + y. Is c a multiple of 20?
False
Suppose -10*m + 6*m + 13 = 3*i, -4*m + 16 = 4*i. Suppose -i*q - 64 = -859. Is 53 a factor of q?
True
Let t be -12*(-6)/9*6/24. Suppose -2*h + 23 = 5*v - 135, -2*h + t*v + 172 = 0. Is h a multiple of 8?
False
Let q(y) = -4*y**2 - 2. Let i(z) = -8*z**2 + z - 4. Let m(b) = -3*i(b) + 5*q(b). Is m(3) a multiple of 19?
False
Let f(w) = 10*w**2 + 15*w - 39. Let r be f(7). Suppose -7*c = -3*c + 3*j - 753, -3*c - 4*j + r = 0. Does 48 divide c?
True
Let a be (76/(-8))/(2/(-24)). Suppose 3*z - 67 = -2*k, -a - 14 = -4*k - 4*z. Is 12 a factor of k?
False
Suppose -575 = -2*i - 5*r, 5*r = 4*r - 1. Is 29 a factor of i?
True
Does 15 divide -668*-2*(-3)/(-8)?
False
Let k(x) = -81*x + 39. Is 18 a factor of k(-15)?
False
Let m = 264 - 222. Is m a multiple of 14?
True
Suppose -3 = -o - 0, n + o = 284. Is 14 a factor of n?
False
Suppose -31 - 261 = -5*z + o, -o = -3. Is z a multiple of 26?
False
Let o(y) = 3*y**2 - 12*y + 19. Does 2 divide o(8)?
False
Suppose -801 = -5*w - t, 138 = w - 5*t - 17. Suppose -28 = 2*o - w. Is 16 a factor of o?
False
Let g(q) = 6*q - 128. Is g(27) a multiple of 34?
True
Suppose -2*z = -b - 7, -5 = 5*z + 4*b + b. Suppose -63 = -3*t - 4*l + 14, -4*l - 78 = -z*t. Is t a multiple of 16?
False
Let q = -26 + 61. Let x(h) = -h - 3. Let m be x(-3). Suppose b + 4*c = 0, m = -b - 0*c + 3*c + q. Does 5 divide b?
True
Let v be (-44)/(-3)*(-18)/12. Suppose 0*i = -3*i - 156. Let j = v - i. Is 10 a factor of j?
True
Let l = 105 - 35. Does 5 divide l?
True
Let p(h) = -h - 1. Suppose 0*y - 3*l + 38 = -2*y, 0 = -5*y + 2*l - 117. Is 24 a factor of p(y)?
True
Suppose -6*r = -2*r - 3*j - 1107, -4*r + 1102 = 2*j. Let h be (-1)/(3/(-6)) - 2. Suppose t + 2 = -3, -4*x - 4*t + r = h. Is 13 a factor of x?
False
Let z = -135 + 246. Suppose -u + 3*c + z = 7*c, c + 91 = u. Suppose -5*p + t + 198 = 0, u = 3*p + 4*t - 33. Does 8 divide p?
True
Suppose 29*l - 2445 = 24*l. Does 10 divide l?
False
Let o(d) = -14 - 1 + 2*d**2 + 8 + 4 - 31*d. Is 24 a factor of o(17)?
True
Let y = 421 + -286. Does 17 divide y?
False
Let w = 5 + 2. Let g(r) = -r**3 + 6*r**2 + 8*r - 5. Let s be g(w). Suppose -s*n - 3*n + 60 = 0. Is 3 a factor of n?
True
Suppose 5*u + 0*u = 2480. Suppose 4*h = c + 33 - 145, -4*h - u = -5*c. Is c a multiple of 16?
True
Suppose 14 = 8*i - 122. Let s = -2 + i. Does 3 divide s?
True
Let b(a) = 793*a**3 + 14*a**2 - 16*a + 1. Does 36 divide b(1)?
True
Is 38 a factor of (-325)/(-13)*5/1?
False
Let r(w) = 6*w - 10. Let x be r(9). Suppose -4*n - x = -204. Is 10 a factor of n?
True
Let h = 512 - 409. Is h a multiple of 2?
False
Let b(r) = -r**3 - 49*r**2 - 106*r + 168. Is 23 a factor of b(-48)?
False
Let t(u) = u**3 + 37*u**2 - 25*u - 148. Is 21 a factor of t(-37)?
True
Does 24 divide -128*3*((-10)/(-4) - 3)?
True
Let p = 141 - -49. Is 11 a factor of p?
False
Let a = -232 - -256. Does 2 divide a?
True
Suppose 0 = p - 3*n - 74, -2*n - 1 - 77 = -p. Suppose 9*a = 310 + p. Does 22 divide a?
True
Is 320*(-13)/(585/(-126)) a multiple of 11?
False
Let s = -3716 - -9216. Is s a multiple of 25?
True
Let d(f) = -62*f - 252. Is d(-17) a multiple of 11?
False
Let w(q) = 835*q**3 + 4*q**2 - 2*q + 1. Is w(1) a multiple of 23?
False
Let o = 880 + -308. Is o a multiple of 11?
True
Let b(r) = r**2 - 8*r + 16. Let q be b(7). Suppose -3*j + q = 0, 192 = 5*z - j - 0*j. Does 4 divide 345/z + (-8)/(-52)?
False
Let p(y) = -y**2 + 10*y - 11. Let k be p(8). Let n be 4/(-10) - (-27)/k. Suppose n*i = 4*z - 161, 3*z - 85 - 37 = 4*i. Is z a multiple of 17?
True
Suppose -3*h - 5*c = 6, 3 = -h - c - c. Suppose 4*b + 69 = 2*o - b, h*b - 157 = -5*o. Is 6 a factor of o?
False
Let z be ((-4)/(-10))/(-6 + (-9755)/(-1625)). Let s = -76 + z. Is 12 a factor of s?
False
Let p(q) = -7 + 9*q**3 + 2*q**2 + 6 + 1. Is 20 a factor of p(2)?
True
Let w(p) = 7*p + 2. Let m be w(-2). Let x = -18 - m. Let t = x + 17. Is t a multiple of 4?
False
Suppose 57*h - 342 = 39*h. Is h a multiple of 19?
True
Let c = -38 - -168. Suppose -14*r + 16*r = c. Is r a multiple of 13?
True
Suppose -b + 0*b = -2. Suppose b*m - 4*l - 10 = m, -l + 6 = 4*m. Suppose 3*r + 2*g - 105 = -m*g, -4*r - 4*g + 144 = 0. Is r a multiple of 13?
True
Let f be (-5)/((-150)/(-12)) - 16/10. Is (2 - 1)/(f/(-282)) + -2 a multiple of 36?
False
Let f(j) = 83*j + 3. Let d be f(2). Let g = -99 + d. Does 14 divide g?
True
Let l = 42 - 41. Is 4*l + (-357)/(-17) a multiple of 10?
False
Let j = 9 + -21. Let q be (-2266)/(-143) + (-2)/(-13). Let a = q + j. Is 3 a factor of a?
False
Let n = 3 - 5. Let s be (-17 - (n + 5)) + 1. Let d = 33 + s. Is d a multiple of 7?
True
Let o(i) = 46*i - 5. Let r be o(2). Let l = r - 58. Does 29 divide l?
True
Suppose -3*s + 4*a = -0*s - 746, -5*a + 236 = s. Is 40 a factor of s?
False
Suppose 5*y = -5*d + 35, 4*y + 0*d = 5*d + 19. Let n(l) be the first derivative of 5*l**2/2 - 8*l - 66. Is n(y) a multiple of 11?
True
Let p(c) = c**2 - c - 6. Let v be -10 + (2 - 2 - -3). Let m be p(v). Is 30 a factor of 4480/m - (-4)/10?
True
Let c = 315 + 487. Is 8 a factor of c?
False
Suppose 29866 = 16*r - 35190. Is r a multiple of 107?
True
Is -297*7*(-15)/15 a multiple of 33?
True
Suppose 11*r + 762 = -1174. Let w = r + 428. Does 12 divide w?
True
Suppose 0 = -6*c + 70 + 266. Does 17 divide c/2 - 14/7?
False
Let j be (-42 - 2)/(-4)*1. Suppose 3*k = -3*b + 162, -3*k + j*b + 162 = 6*b. Does 6 divide k?
True
Suppose 4*h - 400 = -2*x + 2*h, 365 = 2*x - 5*h. Is x a multiple of 24?
False
Suppose -175 = -5*w - 3*g, 2*g = 6*w - 2*w - 140. Does 7 divide w?
True
Is 7 a factor of (4/6)/(4/888)?
False
Suppose 0 = 3*q - 5*i + 52, 2*q + 3*q + 60 = 3*i. Let a be 24/q*(-2 - 10). Let p = -14 + a. Is 9 a factor of p?
True
Let r = 57 - 54. Suppose 0 = 4*i - 0*i - 5*z - 104, r*i + 2*z - 101 = 0. Is i a multiple of 6?
False
Let a(f) = 3*f**2 + 9*f + 2. Suppose -2*r + 0*r - 8 = 0. Is a(r) a multiple of 10?
False
Suppose -3*t - 15 = 2*t, g - 5*t = 138. Suppose 5*y + 6*c - 2*c = g, y = 3*c + 36. Does 11 divide y?
False
Let q(u) be the first derivative of 2*u**3/3 - 7*u**2 - 4*u - 19. Is q(-3) a multiple of 56?
True
Let l = 32 - -52. Is 21 a factor of l?
True
Let i(m) = -4*m - 42. Is i(-25) a multiple of 28?
False
Let f be (-28)/(-6) + 8/(-12). Suppose f*o = 8*o + 136. Let n = 20 - o. Is 27 a factor of n?
True
Suppose b = -4*r + 17, 20 = r - 6*b + b. Let f(d) = 7*d - 4. Let g(c) = -36*c + 19. Let n(t) = 11*f(t) + 2*g(t). Does 12 divide n(r)?
False
Let t = 255 + 973. Is 98 a factor of t?
False
Let u = 196 - -388. Let y = u - 406. Suppose 3*h - y = -5*o, -6*o = h - 2*o - 50. Is h a multiple of 10?
False
Suppose -3*s + 7 = q, -q = s + 4 - 5. Suppose -s*g + 120 = 3*g. Does 10 divide g?
True
Let y(j) = j**3 - 3*j**2 + 4*j + 6. Let d be y(5). Let h = 20 + d. Does 16 divide h?
True
Suppose -d = -2*d + 252. Suppose 2*u - 35 = -3*u. Suppose -d = -10*y + u*y. Is 31 a factor of y?
False
Suppose -140 = -9*h + 2*h. Is 10 a factor of h?
True
Suppose 55*x = 51*x + 292. Does 4 divide x?
False
Let x(n) = 13 - 4*n + n**3 + 8*n**2 + 4*n**2 - 5*n. Let i be x(-12). Suppose -5*w = 3*t - 179, 2*t = -3*w - 3 + i. Is t a multiple of 24?
False
Let u(g) be the third derivative of -g**5/60 + g**4/12 - 2*g**3/3 - 3*g**2. Let a be u(4). Is 13 a factor of 30/a*-5*2?
False
Suppose 0 = -5*a - 0*a + 15. Suppose -a*p - 2*p - 10 = 2*t, -4*t - 2*p = -12. Let g(n) = n**3 - 3*n**2 + n - 2. Is 9 a factor of g(t)?
False
Let w be 10/8 + -2 - (-108)/16. Let b(n) = 3*n**2 - 8*n - 5. Let j be b(-5). Suppose -w*m + j = -m. Is 15 a factor of m?
False
Let b = 294 + -78. Does 36 divide b?
True
Let y(i) = 3*i**2. Suppose 0 = 2*g + 2*f + 2, -g + 7 = 2*g - 2*f. Let j be y(g). I | {
"pile_set_name": "DM Mathematics"
} |
31. Let v be l(-15). Round v to the nearest 100.
-600
Suppose 2*z = -5*y + 501, 44*y - 41*y + 3*z - 297 = 0. What is y rounded to the nearest integer?
101
Suppose 18 = 3*s - 4*t, -t - 24 = -5*s - 11. Let u be (-1)/1 - 8/s. Round u to the nearest ten.
-10
Let o = 81 - 1043. Let j = 961.9999547 + o. Round j to 5 dps.
-0.00005
Let i = -65.5 - -65.5425. What is i rounded to 2 decimal places?
0.04
Let v = 573 - 572.18. Let h = -3.915535 + 3.09527. Let n = v + h. What is n rounded to five dps?
-0.00027
Let b = 3007.997312 - 3008. Round b to 3 dps.
-0.003
Let v = -217.00000049 + 217. Round v to seven decimal places.
-0.0000005
Suppose -3503781 = -20*j + 8580219. Round j to the nearest 100000.
600000
Let z = 11 - 10.962. Let s = z - 0.03827. Round s to 4 dps.
-0.0003
Let a = -26.47 + 27. Let g = -0.88 + a. What is g rounded to 2 decimal places?
-0.35
Let s(t) = t**2 + 4*t**2 - 4 - 16062*t**3 + 5*t + 0 - 7377*t**3. Let p be s(4). What is p rounded to the nearest one hundred thousand?
-1500000
Suppose 2*x + 55468 = 9*x. Suppose 2*r = 44324 - x. What is r rounded to the nearest 1000?
18000
Let q = 41.9 + -41.8999994226. Round q to 7 decimal places.
0.0000006
Let n(a) = -a + 24931 + 0*a - 3731. Let u = -9 + 9. Let q be n(u). Round q to the nearest 1000.
21000
Suppose -12*w + 17500 + 5336 = 0. Suppose 2*d - 2*g = -g + w, g = -3. Round d to the nearest 100.
1000
Let n(j) = 1135*j**2 - 11*j - 20. Let w be n(5). Round w to the nearest ten thousand.
30000
Let d = 42 + -39. Let g be 144*(d - -2373 - 1). What is g rounded to the nearest ten thousand?
340000
Let d = 10.1 - 10.26. Let s = -0.13 - d. Round s to zero dps.
0
Let o(t) = -428*t**3 + 4*t**2 + 3*t + 3. Let z be o(-4). Let a = z + -61447. What is a rounded to the nearest ten thousand?
-30000
Let f = -0.221 - -0.017. Let z = f + 0.20319. What is z rounded to 4 dps?
-0.0008
Let y = -44.2143 + -0.0857. Round y to 0 decimal places.
-44
Let d = -6028 + -2314. Let k = -13312 - d. Round k to the nearest 100.
-5000
Let z = 90.8001569 - 90.8. What is z rounded to five dps?
0.00016
Suppose -233286 = 6*i - 67086. Round i to the nearest ten thousand.
-30000
Let i = -1480 + 1480.13825. What is i rounded to two dps?
0.14
Let r be ((-48)/(-18))/((-2)/(-3)). Suppose s + r*s - 10 = 0. Let p be ((-1300000)/(-12))/(s/24). What is p rounded to the nearest 1000000?
1000000
Let c = 12974 - 6336. Suppose -2*w - 388638 = -c. What is w rounded to the nearest 10000?
-190000
Let f = -39852 - -79828. Let r = -39953.021 + f. Let l = r + -23. What is l rounded to three dps?
-0.021
Let d = 0.186 - 0.052. Let z = 0.133504 - d. What is z rounded to 5 decimal places?
-0.0005
Let d = 2865.997733 + -2866. What is d rounded to four dps?
-0.0023
Let w = -28093749 - -40019675. Let v = w - 11925925.90299841. Let x = 0.097 - v. Round x to 7 dps.
-0.0000016
Let v = -0.609006704 + 0.609. What is v rounded to 7 dps?
-0.0000067
Let f = 24107 - 64277. Round f to the nearest one thousand.
-40000
Let t(b) be the third derivative of 85375*b**4/6 - 29*b**2. Let s be t(-2). What is s rounded to the nearest 100000?
-700000
Let s = 82149185.000006 - 82149280. Let l = -95 - s. Round l to 5 decimal places.
-0.00001
Let x = -676715 - -289115. Round x to the nearest 100000.
-400000
Let u = 96.85118701 + 0.14883399. Let r = u + -97. What is r rounded to 5 decimal places?
0.00002
Suppose 2*b - 2 + 62 = -4*u, b + 3*u + 34 = 0. What is b rounded to the nearest integer?
-22
Let g = -33 - -32.456. Let j = 0.364 - g. Round j to 1 dp.
0.9
Let a = 677022668 - 677022705.9999989. Let k = a + 38. What is k rounded to 6 dps?
0.000001
Let m = 81 - 55. Let i = 25.94631 - -0.05377. Let p = i - m. Round p to five decimal places.
0.00008
Let b = 670.000554 + -670. Round b to four decimal places.
0.0006
Let f(b) = -2*b + 6*b - 15*b**2 + 5 - b. Let j be f(-2). Round j to the nearest ten.
-60
Let o be ((-896)/(-98) - 10) + (-64022012)/(-14). What is o rounded to the nearest one hundred thousand?
4600000
Let l = -0.04109248 - -0.0411. Round l to six dps.
0.000008
Let a = -26.76341 + -0.26359. Let g = a + 0.027. Let j = 26.999981 + g. Round j to five dps.
-0.00002
Let f = -259818 - -95900. Let c = 428924 + f. Let g be c/(-10) - (-3)/5. What is g rounded to the nearest one thousand?
-27000
Let w be -34*1*(264 + -54). What is w rounded to the nearest 1000?
-7000
Let v = 7.2 + -2. Let w = v + -2.56. What is w rounded to 1 decimal place?
2.6
Let t = 12940.951 + -12818. Let q = -4.9 - -127.9. Let p = t - q. Round p to 2 decimal places.
-0.05
Let q = -53.0847 + -0.0153. Let v = q + 48. What is v rounded to zero dps?
-5
Let s = 0.078 - -262.722. What is s rounded to 0 dps?
263
Let c be 1240/(-10)*15/6. What is c rounded to the nearest one hundred?
-300
Let n = -18.4 + -0.6. Let r = -17.25 - n. Let t = r + -4.3. What is t rounded to one decimal place?
-2.6
Let b = -11348.09793 - -0.09793. Let j = b - -11367.0075. Let v = j - 19. Round v to three dps.
0.008
Let x(b) = 41*b**2 + 9*b. Let r be x(-4). What is r rounded to the nearest one thousand?
1000
Let t(f) = 36929*f**3 + 14*f**2 - 3*f. Let o be t(1). What is o rounded to the nearest one thousand?
37000
Let r = -0.01799 + 0.01794066. Round r to 6 dps.
-0.000049
Let s = -0.69 + 0.31. Let b = -52.75 - -52.3643. Let u = b - s. What is u rounded to three decimal places?
-0.006
Let r = 52.04 - 0.04. Let p = -2.807 + 54.417. Let z = r - p. Round z to one dp.
0.4
Let i be 2598/(-4)*(367 - 0)*-10. Let c = -1373665 + i. What is c rounded to the nearest 100000?
1000000
Let o = -1275 - -1275.1652. Round o to 2 decimal places.
0.17
Let o = -15 + 14.9285. What is o rounded to 3 decimal places?
-0.072
Let r = -5197 - -12034. Round r to the nearest 1000.
7000
Let y be ((-174)/9)/(-2) + (-4)/(-12). Let f be 78000006/y + (-63)/105. What is f rounded to the nearest 1000000?
8000000
Let j(t) = 21246*t**2 - t - 6. Let o be j(-7). Let q be (-6)/(-3) - (6 - o). Suppose -y + q = -4558949. Round y to the nearest 1000000.
6000000
Let n(a) = -a**2 - 5*a + 3. Let t be n(-5). Suppose 5 = t*z - 7. Suppose -3*g = 5*w - 6180020, z*g - g + 4*w - 6180016 = 0. Round g to the nearest 100000.
2100000
Let x be (-102)/(-14) + (-4)/14. Let v(k) be the first derivative of -421429*k**2 + 6*k + 73. Let m be v(x). Round m to the nearest 1000000.
-6000000
Let z(j) = 22706*j**3 + j**2. Let b(c) = c**2 - 4*c + 2. Let v be b(3). Let t be z(v). Let u be (t + 3)*1 - -2. What is u rounded to the nearest one thousand?
-23000
Let f = 0.125 - 2.371. Let g = 1.098 + -1.152. Let n = g + f. What is n rounded to 0 dps?
-2
Let t = -159.300004569 - -159.3. Round t to 7 decimal places.
-0.0000046
Let k = 8 - 4. Suppose -k*c + 0*c + 11613456 = 0. Let x = -4593364 + c. What is x rounded to the nearest one hundred thousand?
-1700000
Let l = -431 + 273.5. Let i = 64 + l. What is i rounded to the nearest ten?
-90
Let m be 6/21 - (-1)/(-7)*-19. Suppose -m*p + 2*i - 165002 = 0, -5*p + 2*i = 106147 + 168855. Round p to the nearest ten thousand.
-60000
Suppose -4*z - 114*a + 2123975 = -109*a, -3*z = -5*a - 1593025. Round z to the nearest one hundred thousand.
500000
Let a = 20846400.2 + -20846442.2000195. Let t = a - -42. Round t to six dps.
-0.00002
Let h = 20.46 + -37.07. Let m = h - 0.39. Let n = m - -16.9939. What is n rounded to three dps?
-0.006
Suppose 0 = -5*z + 3*z + 8820. What is z rounded to the nearest 1000?
4000
Let j = 1088 - 1140.1. Round j to the nearest ten.
-50
Let i = -16964 + 16962.8919. What is i rounded to 2 dps?
-1.11
Let a = -147 + 5. Round a to the nearest ten.
-140
Let l = -36.037 + 0.037. Let m = -3 - l. Let d = -33.21 + m. Round d to 1 dp.
-0.2
Let g be (65/26)/(1/2). Suppose 0 = -0*s + g*s + 20285450. Let a = s + -8442910. What is a rounded to the nearest 1000000?
-13000000
Let b = 0.1 - -16.9. Let p = -13 - b. Let l = -22.4 - p. What is l rounded to the nearest integer?
8
Let q be 40/(-16)*(-1 + -1). Suppose 4*w = 3*w + 389108. Suppose 45892 = q*k - w. What is k rounded to the nearest ten thousand?
90000
Suppose 3*m + 2*s = -0*s - 9767, 5*m + 16281 = -4*s. Suppose -5*r - 4106 = -7*r. Let k = m + r. Round k to the nearest one thousand.
-1000
Let o = -116 + 99. Let f = 16.99958 + o. Round f to 4 decimal places.
-0.0004
Let p = 138 + -133.1. Let s = 4.90075 - p. What is s round | {
"pile_set_name": "DM Mathematics"
} |
. Let c(a) = -1. Let g(q) = 3*c(q) + m(q). Let i(k) = 144 - 144 - 5*k**2. What is i(g(s))?
-5*s**2
Let s(l) = 2*l**2. Let q = -16 - -18. Let f(t) = q*t - 20*t**2 - 8*t + 6*t. Determine f(s(x)).
-80*x**4
Let v(c) be the second derivative of 17*c**3/6 - c. Let f(q) = 5*q + 1. Let d(x) = -16*x - 3. Let m(l) = d(l) + 3*f(l). What is m(v(z))?
-17*z
Let h(i) = 2*i + 5*i - 3*i - 7*i. Let x(y) be the second derivative of y**4/3 + 3*y. What is x(h(j))?
36*j**2
Let n(k) = 1642626*k. Let b(a) = -3*a. Determine b(n(v)).
-4927878*v
Let t(u) = -15*u. Let c(w) = w**2 + 8*w - 14. Let f(p) = 5*p - 9. Let x(m) = 5*c(m) - 8*f(m). Calculate t(x(o)).
-75*o**2 - 30
Let g(o) = -o. Let w(v) = 4659*v**2 - v + 12. Determine g(w(q)).
-4659*q**2 + q - 12
Let u(b) = 5*b. Let p(z) = 28056*z - 1. Determine p(u(c)).
140280*c - 1
Let n(o) = 8*o + 2. Let x = -106 - -117. Let k(l) = 0*l + x*l - 5*l - 4*l. What is k(n(i))?
16*i + 4
Let l(u) = -6*u - 166. Let p(o) = -3*o - 82. Let c(r) = -3*l(r) + 7*p(r). Let x(s) = -2*s**2. Determine x(c(f)).
-18*f**2 - 912*f - 11552
Let q(w) = 9*w. Let t(f) = 7*f + 330. Calculate q(t(l)).
63*l + 2970
Let p(d) = 40*d**2 - 217*d - 1. Let q(i) = -3*i**2. Calculate p(q(b)).
360*b**4 + 651*b**2 - 1
Let g(w) = 6415*w. Let r(t) = 45*t. Determine r(g(j)).
288675*j
Let d(u) = 12*u. Let h(q) = -45727*q. What is h(d(a))?
-548724*a
Let f(t) = -27*t. Suppose 4450 + 902 = 6*h. Let r(l) = -442*l - 451*l + h*l. What is r(f(s))?
27*s
Suppose -4*w + 80 = w. Let q(u) = -2*u - 16 + w. Let g(y) be the first derivative of 3*y**2 - 2. Calculate q(g(c)).
-12*c
Let p(h) = -114 - 233 + 4*h**2 - 6*h**2 - 486 + 71. Let y(r) = -r**2. Determine y(p(k)).
-4*k**4 - 3048*k**2 - 580644
Let r(z) = -2110*z**2. Let s(h) = 9*h**2. Calculate s(r(y)).
40068900*y**4
Let w(q) = 2*q**2. Let a(o) = o**2 - 1. Let r = -38 - -41. Let g(v) = -5*v**2 + 7. Let t(n) = r*g(n) + 21*a(n). What is w(t(l))?
72*l**4
Let q(o) = -1637502*o. Let f(l) = 2*l. What is f(q(j))?
-3275004*j
Let a(z) be the second derivative of 79*z**3/6 + 21*z - 1. Let o(l) = l**2. Determine o(a(t)).
6241*t**2
Let b(o) = 9*o**2. Let t(k) = 1144*k. Give t(b(m)).
10296*m**2
Let r(u) = -1. Let g(x) = 6*x - 2. Let c be -24*(11/154 + 6/14). Let t(f) = c*r(f) + 6*g(f). Let k(m) = m**2. What is t(k(q))?
36*q**2
Let n(p) be the third derivative of -p**4/12 + 3*p**2. Let r be (-2*4)/(-4) - -7. Let w(v) = 6*v - 9 + r. Determine w(n(b)).
-12*b
Let h(i) = -2*i**2. Suppose 0 = 2*s, 3*s = -9*l + 10*l - 16. Let u(v) = -l*v - v**2 - 27*v - 2*v**2 + 32*v. Calculate h(u(q)).
-18*q**4 - 132*q**3 - 242*q**2
Let u(x) = -3*x + 845. Let c(j) = -40*j**2. Calculate u(c(f)).
120*f**2 + 845
Let d(k) = 7 + 4*k - 10 + 15 - 12. Let z(o) = 2*o**2 - 59*o. What is z(d(c))?
32*c**2 - 236*c
Let m(u) = -2507*u. Let x(h) = 45*h**2. Give x(m(o)).
282827205*o**2
Let g(x) = 2*x**2. Let v(a) be the second derivative of 37*a**4/6 + 160*a - 2. What is g(v(u))?
10952*u**4
Let n(c) = 68 + 3*c - 4*c - 33 - 35. Let t(y) = -2*y - 140. Give t(n(q)).
2*q - 140
Let x(m) = m. Let i(y) = -6*y + 11*y**2 + 0*y + 6*y + 15*y**2. Give x(i(n)).
26*n**2
Let s(r) = 2*r**2 - 2*r + 2. Let p(f) = -2*f**2 + f - 1. Let l(q) = 2*p(q) + s(q). Let w(o) = 9*o**2 + 31. Determine l(w(x)).
-162*x**4 - 1116*x**2 - 1922
Let h(a) = -a**2 - 1198*a. Let n(g) = -290 + 173 + g + 117. Give h(n(s)).
-s**2 - 1198*s
Let s(v) = -4*v - 9. Let f(h) = h + 2. Let u = 6 - 2. Let t(a) = u*s(a) + 18*f(a). Let z(r) = 9*r. Calculate z(t(w)).
18*w
Let k(c) = 3*c - 5. Let r(d) = -d + 2. Let j(b) = 2*k(b) + 5*r(b). Let a(h) be the first derivative of -6 + 0*h - 3/2*h**2. What is j(a(z))?
-3*z
Let j(a) = 13*a - 2. Let c(o) = -6*o**2 + 2*o + 2. Let k(q) = -24*q**2 + 7*q + 7. Let b(i) = -7*c(i) + 2*k(i). Give j(b(f)).
-78*f**2 - 2
Let h(t) = 5*t - 2*t - 2*t - 4*t. Let w(y) = -3*y**2 - 14*y. Give w(h(m)).
-27*m**2 + 42*m
Let v(r) = -91646*r. Let g(h) = -8*h**2. What is v(g(q))?
733168*q**2
Let j(g) = -g**2 - 11*g + 12. Let i be j(-7). Let c(l) = i*l - 40*l + l**2. Let s(r) = -5*r**2. What is c(s(z))?
25*z**4
Let o(d) = -14432*d**2 + 7220*d**2 + 7210*d**2. Let x(s) = 1131*s**2. Give o(x(k)).
-2558322*k**4
Let y(b) = -27*b. Let f(q) = -4*q + 7. Let o(k) = 2 - 5*k + 3*k + k. Let p(a) = 4*f(a) - 14*o(a). What is p(y(v))?
54*v
Let q(y) be the first derivative of -4*y**2 + 1. Let r(n) = -n**2 - n. Let h(u) = -8*u**2 - 3*u. Let p(i) = -h(i) + 3*r(i). Calculate q(p(k)).
-40*k**2
Let j(w) = 12 + 115*w - 19 + 1 + 5. Let l(y) = -2*y**2. Determine l(j(t)).
-26450*t**2 + 460*t - 2
Let i(c) be the first derivative of -c**2 + 5. Let s(h) = 9 - 3 - 6 - 8*h**2. What is i(s(t))?
16*t**2
Let l(n) = 3*n**2. Let q(i) = -7*i - 5911. What is q(l(t))?
-21*t**2 - 5911
Let z(i) = -2*i**2. Let r(j) = 8*j + 82. Let g be r(-10). Let q = 1 - -2. Let w(s) = -2*s**2 + 3*s**g + 3*s - q*s. Determine w(z(h)).
4*h**4
Let l(v) = 2*v + 20*v - 27 + 27. Let i(m) = 12*m. Give i(l(h)).
264*h
Let b(k) = -1524 - 18*k + 4572 - 1523 - 1525. Let l(z) = -z**2. Give l(b(m)).
-324*m**2
Let i(l) = 0*l**2 - 2*l**2 - l**2. Let h(u) be the first derivative of -u**5/60 - 2*u**3 - 5. Let o(w) be the third derivative of h(w). What is i(o(c))?
-12*c**2
Let v(h) = 11*h. Let o = 41 - 38. Let a(f) = -5*f**2 + 4*f**2 + 0*f**2 + o*f**2. Calculate v(a(z)).
22*z**2
Let j(n) be the first derivative of n**2/2 - 23. Let y(t) = -12*t**2 - 2*t + 2. Let a(h) = 205*h**2 + 35*h - 35. Let r(b) = 4*a(b) + 70*y(b). Calculate r(j(k)).
-20*k**2
Suppose -17 = 3*m - 2. Let w be m/3*(-4 - -1). Let n(o) = -o**2 + w*o**2 - 2*o**2 - 3*o**2. Let h(q) = 3*q**2. What is h(n(p))?
3*p**4
Let p(j) = -2*j**2. Let h(g) be the first derivative of 31*g**6/360 + 14*g**3/3 - 17. Let m(u) be the third derivative of h(u). What is p(m(d))?
-1922*d**4
Let h(t) = -20*t. Let v(l) = -7*l. Let g(w) = 6*h(w) - 17*v(w). Let f(a) = -3*a**2 + 5. Let b(i) = 3*i**2 - 6. Let u(r) = 5*b(r) + 6*f(r). What is u(g(k))?
-3*k**2
Let g(s) be the third derivative of s**5/60 + s**2. Let a(f) = -28*f**2 + 51*f**2 - 9*f**2. Determine g(a(t)).
196*t**4
Let j(b) = b + 0*b - 3*b. Suppose -16*y = -0*y - 48. Let f(t) = -y*t + 3*t - 2*t - t. Calculate f(j(o)).
6*o
Let n(a) = 3*a**2. Let j(w) = 14*w + 134 - 165 - 13*w. Give n(j(z)).
3*z**2 - 186*z + 2883
Let o(i) = -4*i + 7. Let w(j) = -3*j + 6. Let r(m) = -6*o(m) + 7*w(m). Let c(v) = 11*v - 2. Determine c(r(y)).
33*y - 2
Let q(v) = 3*v - 1. Let m(d) = -18*d + 5. Let u(h) = -m(h) - 5*q(h). Let o(x) = 6*x - 5. Let f(w) = -3*w + 2. Let r(c) = -5*f(c) - 2*o(c). Calculate u(r(j)).
9*j
Let c(i) = -i. Let o(b) = 22*b**2 + 4*b**2 - 8*b**2. What is c(o(d))?
-18*d**2
Let o(i) = -15*i - 2. Let x(t) = -3*t**2 - 4*t. Let r(j) = -4*j**2 - 5*j. Let p(v) = 4*r(v) - 5*x(v). Give o(p(c)).
15*c**2 - 2
Let w(a) = 45 + 23 + 9 + 0*a**2 + a**2 + 41. Let z(r) = r**2. Determine w(z(j)).
j**4 + 118
Suppose -7 = -4*q + 17. Let k(i) = -i + i + 12*i**2 - q*i**2. Let z(u) be the second derivative of u**3/6 - u. Determine k(z(m)).
6*m**2
Let y(g) = -13*g - 6380 + 6380. Let r(h) = -3*h. Determine y(r(i)).
39*i
Let d(j) = -64*j. Let a = 26 - 25. Let u be 5 - ((-2 - a) + 3). Let y(h) = -43*h. Let q(o) = u*d(o) - 7*y(o). Let l(n) = -2*n**2. What is q(l(w))?
38*w**2
Let d(q) = 233*q - 1. Let u(x) = -109*x + 341*x - 118*x - 112*x. What is d(u(w))?
466*w - 1
Let y be (72/(-4))/(-1 - 1). Let d(i) = -4*i + 14*i - y*i. Let o(b) = b**2 + 3*b**2 + 3*b**2. Calculate o(d(m)).
7*m**2
Let b(f) = -9*f**2. Let i(j) be the third derivative of -j**4/8 - 4*j**2 + 6. What is i(b(r))?
27*r**2
Suppose -o + 14 = -3*n - n, -o - 10 = 4*n. Let d be (-2 - -4)/(o/6). Let r(t) = -5*t + 3*t - d*t + t. Let w(z) = -z. What is r(w(q))?
7*q
Let i(g) = 1105*g**2. Let r(a) = -36*a**2 + 2*a. What is r(i(b))?
-43956900*b**4 + 2210*b**2
Let w(i) = 9*i - 3. Let p(l) = 24*l**2 + 6*l. Determine w(p(c)).
216*c**2 + 54*c - 3
Let q(i) = 1457*i + 3. Let n(w) = 34*w. Give n(q(m)).
49538*m + 102
Let a(t) = -t**3 - 8*t**2 + 13*t - 1. Let s be a(-9). Let g be s/(-8) + (-36)/(-96). Let h(n) = 2 - 7 - n**2 + g. Let k(f) = 9*f. Determine k(h(q)).
-9*q**2
Let k(u) = 3*u**2. Let q(b) = -b - 802388. Determine q(k(w)).
-3*w**2 - 802388
Let z(w) = w**2 + 17*w**2 + 12*w**2 - 3*w**2 + 3*w**2. Let q(n) = -17*n**2. Calculate z(q(c)).
8670*c**4
Let w(p) = 29*p. Let v(c) = 10129*c. Give v(w | {
"pile_set_name": "DM Mathematics"
} |
607. Let d = c - 699065. Let a = d + -0.1. What is a rounded to seven decimal places?
0
Let q = -1639.9 + 2310.2. Round q to the nearest ten.
670
Let b = 66 - 65.84. Let p = -2.13 + b. What is p rounded to 1 decimal place?
-2
Let x = -177 - -168. Round x to zero dps.
-9
Let u = -1271 + 1276.57. What is u rounded to one decimal place?
5.6
Let p = 16285 - 71295. What is p rounded to the nearest 1000?
-55000
Let t = 221.1 + -222.393. Round t to one decimal place.
-1.3
Suppose -n - f + 94 = -0*n, -5*n + 2*f + 505 = 0. Let k be 22/n + (-68)/(-18). Suppose 5*z = -g - 0*g - 345, -3*z = -k*g + 230. Round z to the nearest 100.
-100
Let t(o) = -45442*o**2 + 7*o + 2. Let d be t(-7). Let w = d + 3517748. Let a = w + -781043. Round a to the nearest 100000.
500000
Let f = 61 + -61.000279. What is f rounded to five decimal places?
-0.00028
Let s = -67.6 - -56. Let d = 57 - 68. Let f = d - s. Round f to zero dps.
1
Let w = 5 + -6.8. Let j = w - -3.1. Let n = j - 1.29. What is n rounded to three decimal places?
0.01
Let j(w) = 18*w**3 + 17*w**2 - 8*w - 7. Let c be j(-8). Let p = c - -3571. What is p rounded to the nearest 1000?
-5000
Let w = 783 - 1422. Let t = w + -17516. Let l = t - -7155. Round l to the nearest 1000.
-11000
Suppose -4 = -3*y - b + 48, b - 68 = -4*y. Let d = y - 16. Suppose -13*v + 16*v - 213000 = d. Round v to the nearest 10000.
70000
Let p = -11 - -10.942. Let c = p - 0.212. Round c to one decimal place.
-0.3
Let t be (29840/12)/((-1)/(-3)). What is t rounded to the nearest 1000?
7000
Let f = 110 + 38. Let t = -134.2 + f. What is t rounded to 0 dps?
14
Let z = -3 - -12. Let d = -5 + z. Suppose -2*k + d*k + 70000 = 0. Round k to the nearest ten thousand.
-40000
Let t = -137807 + -18193. Round t to the nearest ten thousand.
-160000
Let c = 259.90490868 - 36.90491798. Let z = c - 223. What is z rounded to 6 dps?
-0.000009
Let h(u) = 3563*u**2 + 5*u + 8. Let y(f) = -4*f. Let r be y(2). Let i be h(r). Round i to the nearest ten thousand.
230000
Let a = -0.05114 + 0.0509209. Round a to 5 dps.
-0.00022
Let b = -0.081 - -0.0555. What is b rounded to 3 dps?
-0.026
Let s = 3787525038.89999849 - 3787525014. Let y = s - 24.9. What is y rounded to 7 dps?
-0.0000015
Let n = -3.97558 + 3.97. Round n to 4 decimal places.
-0.0056
Suppose s = 1 + 2, 5347985 = n - 5*s. Round n to the nearest 100000.
5300000
Let h(q) = 21*q - 66. Let w be h(12). Round w to the nearest 10.
190
Let f = 128.01986 - 127.91. What is f rounded to three decimal places?
0.11
Let s = 11.06 - 11. Let a = 1.94 + s. Let k = -15.5 - a. What is k rounded to zero dps?
-18
Let v = 0.028 - -15.172. Let g = v + -7.1. Round g to the nearest integer.
8
Let a = -22353 + 7334. Let i = -15018.800024 - a. Let s = i + -0.2. Round s to 5 dps.
-0.00002
Let x = 1696596 + -1689648.987. Let q = x - 6944. Let f = q + -3. Round f to two decimal places.
0.01
Let a = 1 - -38. Let l = a + -80. Let w = 40.99999893 + l. What is w rounded to 7 dps?
-0.0000011
Let s = -655 + 654.9517. Round s to three dps.
-0.048
Let l = -15 + 8. Let w = 6.999991 + l. Let i = 0 - w. Round i to 6 decimal places.
0.000009
Suppose -3*d + 175365 = 472365. What is d rounded to the nearest ten thousand?
-100000
Let r = 910 - 806.1. Let s = r - 64. Let f = -42 + s. What is f rounded to the nearest integer?
-2
Suppose 58919945 - 15499945 = 2*w. Round w to the nearest one million.
22000000
Let q(d) be the first derivative of 2*d**4 - 2*d**3/3 + 4*d**2 - 2*d + 2. Let z be q(7). Suppose k = -2*k - z. What is k rounded to the nearest one thousand?
-1000
Let c(z) be the third derivative of -z**4/8 + z**3/6 + 7*z**2. Let x be 4/8*(14 - 0). Let i be c(x). What is i rounded to the nearest 10?
-20
Suppose 15 = -y - 2*w, 2*y + 2*w = 6*w - 22. Let z = y + 18. Suppose -f = -3*j + 500, j - 1568 - 932 = z*f. What is f rounded to the nearest 1000?
-1000
Let f = -492.00000394 + 492. What is f rounded to 7 decimal places?
-0.0000039
Let o = -1.28 + 1. Let z = -0.7 - o. Let w = -0.42000245 - z. What is w rounded to 7 decimal places?
-0.0000025
Let o = 874 + -874.0887. Round o to three decimal places.
-0.089
Let m = -2102421.2 - -14255347.2. Let d = m + -12152970.999916. Let b = 45 + d. Round b to five decimal places.
0.00008
Suppose -18 = -5*p + y, 5*p + 4*y + 0 = 3. Suppose 4*j - 1198 = 5*b, -p*j - b - 904 = -6*j. Round j to the nearest ten.
300
Let q = 237.71 - 242. Let i = 4 - 8. Let j = q - i. What is j rounded to one dp?
-0.3
Let k = -291.1 + 277. Let g = -122.8 - -90. Let l = g - k. Round l to zero dps.
-19
Suppose 3*f = p + 123, 6*f - 2*f + 4*p - 148 = 0. Let i be (-1020)/f*34/(-3). What is i rounded to the nearest ten?
290
Let a = 0.12 + -0.1. Let c = a - 0.07. Let y = 0.0499991 + c. Round y to 7 dps.
-0.0000009
Suppose -2*g - 3*f + 55206 = 0, -2*g - 11234 = 4*f - 66442. Round g to the nearest one thousand.
28000
Let l = 4.22 + -4.220234. What is l rounded to four dps?
-0.0002
Let f = -198.059 - -198. What is f rounded to three decimal places?
-0.059
Suppose 0 + 1 = -j. Let v be -6 + (2 + -1 - j). Let h be (-320000)/v*(-1)/2. Round h to the nearest ten thousand.
-40000
Let j = -0.3368 - -0.0238. Round j to two decimal places.
-0.31
Suppose -1 = 4*d - 3*v, 2*d + 4*v - 1 + 7 = 0. Let r be -1 + (-1)/(d/4). Suppose -7*x = -r*x - 4480. What is x rounded to the nearest 100?
1100
Suppose 16*g + 3 = 13*g. Round g to 1 decimal place.
-1
Let r = -200557224.6 + 200557183.60000042. Let p = -40.932 + -0.068. Let n = r - p. Round n to seven decimal places.
0.0000004
Let a = -2711 - -2711.08836. Round a to three dps.
0.088
Let y(j) = -192007*j + 21. Let s be 3 - 0*5/25. Let l be y(s). Round l to the nearest 100000.
-600000
Let q = 0.5 + 0.26. Let f = 0.784 - q. Round f to 2 decimal places.
0.02
Let j be (-18)/24 + (-900)/16. Let m be 2143192/(-76) + (0 - (-6)/j). Round m to the nearest 10000.
-30000
Let k = 1.517594 - 0.017054. Let f = k - 1.5. What is f rounded to four decimal places?
0.0005
Let l = -414.9 - -415.14984. Let d = l - 0.25. Round d to four decimal places.
-0.0002
Let n = 849.999942 + -850. What is n rounded to 4 decimal places?
-0.0001
Let d = 1130 + -1130.001022. What is d rounded to 4 dps?
-0.001
Let b = 4666 - 4665.97519. Round b to 3 dps.
0.025
Let y(d) = 2*d**3 - 4*d**2 + 3*d - 5. Let b be y(3). Let a = -43 + b. Let l be 3*-16*2450/a. Round l to the nearest 1000.
6000
Let i = -4070.99997057 + 4071. Round i to 6 decimal places.
0.000029
Suppose -8 = 2*b - 6*b. Suppose -2 = 2*a, -b*j = 3*j + 5*a - 10599995. Round j to the nearest one hundred thousand.
2100000
Let p = -1.895 - -28.475. What is p rounded to the nearest integer?
27
Let t = -0.158 - 30.892. What is t rounded to the nearest integer?
-31
Let l = -684.2 - -624. Let s = l + 55. Round s to the nearest integer.
-5
Let n = 168 + 452. Let q = -620.000337 + n. Round q to four dps.
-0.0003
Let z = -18.62 - -18.6196692. Round z to 4 decimal places.
-0.0003
Let f = 0.062539 + 0.002512. Let r = 27.065 - 27. Let z = r - f. Round z to 5 dps.
-0.00005
Let m = 92 - 152. Let x be 153125/(7/(-10)*26/(-182)). Let s be (-4 + m/(-3))*x. Round s to the nearest one million.
25000000
Let j = 1.6 - 2.32. Let g = 0.08072 + 0.65498. Let u = j + g. What is u rounded to 3 decimal places?
0.016
Let s = 26 - 23. Suppose -g + 532 = s*g. Round g to the nearest ten.
130
Let d = 5.92 - 7.2. Let z = d + 1.280091. Round z to 5 decimal places.
0.00009
Let s = -5.035976 - -5.4859. Let j = 3.46 + -3.01. Let t = s - j. What is t rounded to five decimal places?
-0.00008
Let o = 47752 - 15087. Let f = o - -15335. What is f rounded to the nearest ten thousand?
50000
Let h(c) = -c + 5. Let a be h(9). Let v(y) = y**3 + 4*y**2 + 2*y + 4. Let q be v(a). Let s be 12806/(-4) + (-6)/q. What is s rounded to the nearest 1000?
-3000
Let q = 5743 + -5817.232. Let g = 124 - 198. Let k = g - q. What is k rounded to two decimal places?
0.23
Let k = 21625 + -34761. Let i = -5136 - k. Round i to the nearest one thousand.
8000
Let p = 293 - 292.98084. Let x = 0.02 - p. Round x to 4 decimal places.
0.0008
Let b = -70.836847 + -0.070153. Let x = -71 - b. What is x rounded to 2 decimal places?
-0.09
Let t = 5308.9997861 + -5309. Round t to five decimal places.
-0.00021
Let z be ((-232)/(-10))/(42/(-105)). Let s = -102 + z. Round s to the nea | {
"pile_set_name": "DM Mathematics"
} |
622. Calculate r(u(j)).
81*j**4 + 494
Let x(b) = 11*b**2 + 10*b**2 + 23*b**2 - 34*b**2. Let i(g) = -59*g**2. Give x(i(m)).
34810*m**4
Let c(l) = 48507*l**2. Let q(i) = 33*i + 16. Calculate q(c(x)).
1600731*x**2 + 16
Let s be 16/(-48) - (-2 - 16/(-6)). Let a(f) = 3*f**2 + f + 2. Let k(y) = -y**2 - y - 2. Let w(q) = s*a(q) - k(q). Let g(l) = 10*l**2 + 2. Give w(g(p)).
-200*p**4 - 80*p**2 - 8
Let u(p) = -p**2. Let t(f) be the first derivative of f**5/60 + 35*f**4/12 + 2*f**3/3 + 39*f + 34. Let z(o) be the third derivative of t(o). Give z(u(n)).
-2*n**2 + 70
Let s(j) = 2*j**2 - 1425098*j - 1. Let f(r) = 553*r. Determine s(f(w)).
611618*w**2 - 788079194*w - 1
Let f(q) = 26327*q**2 + 5*q - 1. Let c(j) = -2*j. Determine c(f(d)).
-52654*d**2 - 10*d + 2
Let d(j) be the third derivative of j**5/60 - j**2. Let b(x) = 417*x - 884*x + 467*x - 155*x**2. What is b(d(r))?
-155*r**4
Let p(l) = 26*l. Let h(g) be the second derivative of 5*g**3/6 - 1979*g. What is h(p(j))?
130*j
Let x(l) = -20*l. Let w(a) = 3*a. Let z(v) = 25*w(v) + 4*x(v). Let y(u) be the first derivative of 5*u**2 - 4 - 2*u + 5*u - 3*u. Give z(y(c)).
-50*c
Let c(f) = -193 + 57 + 71 + 65 + 593*f. Let y(z) = -4*z**2. What is y(c(a))?
-1406596*a**2
Let f(i) = -2*i. Let q = -14 - -16. Suppose 0 = 2*m - 5*a + 5, m + q*a = 3*m + 2. Let h(z) = -3*z + 3*z - z + m*z. Determine h(f(o)).
2*o
Let g(o) = -5*o - 3. Let a(r) = 5*r + 2. Let c(d) = 3*a(d) + 2*g(d). Let b(i) = 432935 - 432935 - 10*i**2. Give c(b(w)).
-50*w**2
Let q(c) = 10*c**2 - 776*c. Let j(b) = 15*b - 37. What is j(q(o))?
150*o**2 - 11640*o - 37
Let t(p) = -2*p**2 + 2. Let g be 2 - (1 + -4 + 3)/(-2). Let c(w) = 19*w - g*w - 23*w. Determine t(c(l)).
-72*l**2 + 2
Let i(a) = 4*a + 4 + 3 - 7. Let o(q) = -3*q**2 - q - 2. Let d(k) = 8*k**2 + 6*k + 15. Let g(l) = -d(l) - 6*o(l). What is i(g(p))?
40*p**2 - 12
Let u(b) = -4*b + 5*b + b. Let g = -33 - -35. Let h(k) = 234*k - 11*k**2 - 118*k - 116*k - k**g. Determine u(h(w)).
-24*w**2
Suppose 0 = 4*t - 28 - 8. Suppose 2*i - t - 19 = 0. Let w(k) = -2*k + 7*k - i*k + 2*k. Let v(q) = 3*q. Give v(w(j)).
-21*j
Let p be 16 - (0 + -6 + 2). Let n be (25/p)/(1/4). Let z(b) = -n*b + 5*b**2 + 15*b**2 + 5*b. Let w(x) = -2*x**2. Determine w(z(o)).
-800*o**4
Let b(g) = -4*g. Let o be (-6)/(-24) - (-1)/(-4). Suppose -2*k + 17 - 5 = o. Let h(p) = -p - k*p - p. What is h(b(w))?
32*w
Let r(h) be the first derivative of -13*h**4/12 - 13*h**2/2 - 2*h - 77. Let s(c) be the second derivative of r(c). Let u(p) = -7*p**2. Determine u(s(t)).
-4732*t**2
Let d(s) = -12*s + 16. Let u(y) be the first derivative of 4*y**2 - 10*y - 70. Let o(r) = -5*d(r) - 8*u(r). Let t(b) = -26*b. Give t(o(l)).
104*l
Let a(m) = -6*m**2. Let x(b) = -24*b + 35. Let r(z) = 73*z - 93. Let c(h) = 3*r(h) + 8*x(h). Calculate c(a(w)).
-162*w**2 + 1
Let x(k) = 0*k - 4*k + k. Let f(b) be the first derivative of -3 + 10*b**2 + 15*b**2 - 30*b**2 + 8*b**2. Give x(f(w)).
-18*w
Let y(g) = -19*g + 43*g - 104*g + 13*g. Let t(z) = -6*z - 3. Determine y(t(f)).
402*f + 201
Let b(o) = -787687*o. Let y(t) = -55*t**2. Give b(y(c)).
43322785*c**2
Let r(d) = -d**2 + 0*d**2 - d**2. Let p(x) be the third derivative of x**6/90 - 8*x**3 - 17*x**2. Let h(n) be the first derivative of p(n). Give h(r(t)).
16*t**4
Let s(n) = 4*n. Let o(x) = -x. Let i(g) = 12*o(g) + 4*s(g). Let a be 30/300 + (-1469)/(-10). Let c(z) = 159*z + a*z - 304*z. Give i(c(m)).
8*m
Let t(p) = -492*p**2. Let y(m) be the second derivative of -m**3/2 - 1029*m. Give y(t(i)).
1476*i**2
Let p(z) = -394*z + 86. Let m(o) = 161*o - 35. Let n(h) = -12*m(h) - 5*p(h). Let d(a) = -5*a**2. What is n(d(b))?
-190*b**2 - 10
Let b(n) be the third derivative of 8*n**5/15 + n**2. Let a(k) = -44*k + 39. Let t(c) = -20*c + 18. Let l(x) = -6*a(x) + 13*t(x). Determine l(b(s)).
128*s**2
Let w(l) be the second derivative of l**4/6 + 356*l + 2. Let b(j) = 1737*j. Determine w(b(p)).
6034338*p**2
Let z(y) = 3304*y**2. Let d(p) = -213*p - 10. Let t(c) = -256*c - 12. Let o(s) = 6*d(s) - 5*t(s). Give o(z(l)).
6608*l**2
Let v(l) = 451343*l. Let x(i) = -28*i. Determine x(v(s)).
-12637604*s
Let o(q) be the third derivative of -2*q**5/5 + q**2 + 10. Let b(s) = -2*s**2 + 11. What is b(o(j))?
-1152*j**4 + 11
Let z(p) be the second derivative of -p**4/6 + 33*p**2/2 + 265*p. Let i(t) = -3*t**2 - 3. Let r(q) = 2*q**2 + 4. Let h(s) = 4*i(s) + 3*r(s). Determine h(z(y)).
-24*y**4 + 792*y**2 - 6534
Let x = 14816 + -14814. Let w(t) be the third derivative of 1/8*t**4 + 0*t + 0*t**3 + 24*t**x + 0. Let j(z) = 10*z. Give j(w(n)).
30*n
Let q(u) = -4*u**2. Let o(b) = 19848118*b. Give q(o(c)).
-1575791152567696*c**2
Let q(k) = -6*k**2 + 3899937*k. Let w(p) = -17*p**2. Give q(w(r)).
-1734*r**4 - 66298929*r**2
Let a(d) be the first derivative of -d**4/3 - 38*d + 7. Let z(y) be the first derivative of a(y). Let v(h) = -7 - 5 - 12*h + 12. Give v(z(k)).
48*k**2
Let h(c) = 15*c. Let x(g) = 4128394*g**2. Calculate h(x(n)).
61925910*n**2
Let j(l) = -285940*l**2. Let r(y) = 26*y. Determine j(r(n)).
-193295440*n**2
Let l(m) = 7471*m. Let r(w) = 29*w**2 + 2*w - 2. Let o(f) = -160*f**2 - 11*f + 11. Let u(h) = -2*o(h) - 11*r(h). Give u(l(a)).
55815841*a**2
Let i(q) = -q**3 + 3*q**2 + 30*q - 8. Let k be i(7). Let c(d) = 131 + k*d - 7*d - 131. Let o(w) be the first derivative of -8*w**3 - 1. What is c(o(j))?
24*j**2
Suppose 4*n - 53 = -5*w, 5*n = 2*w - 0*w + 91. Let q(s) = 35*s - n*s - 17*s. Let k(h) be the second derivative of -h**4/6 + 18*h. Give k(q(y)).
-2*y**2
Let v(i) = -21*i. Let w(d) = -1830676*d. Determine w(v(t)).
38444196*t
Let v(m) = 6055*m + 2. Let l(w) = 772*w. Determine l(v(i)).
4674460*i + 1544
Let t be ((-4)/(-5))/(6 - (-801)/(-135)). Let u(r) = t*r**2 + 6*r**2 - 15*r**2. Let k(f) = 2*f**2. Give u(k(l)).
12*l**4
Let x(i) be the first derivative of -4 + 3/2*i**2 + 0*i. Let j(r) = 9*r**2 + 4. Let d(z) = -9*z**2 - 5. Let p(n) = 4*d(n) + 5*j(n). Calculate p(x(s)).
81*s**2
Let l(t) = 40*t**2. Let d(w) = -w**3 - 35*w**2 - 9*w + 49. Let c be d(-35). Let k(x) = c*x - 179*x - 182*x. What is k(l(n))?
120*n**2
Let z(j) = -76*j**2 - 6*j + 3. Let t(s) = -176*s**2 - 14*s + 7. Let y(l) = 3*t(l) - 7*z(l). Let r(q) = 808*q. What is y(r(p))?
2611456*p**2
Let u(y) = 3*y. Let t(p) = 39337*p + 849. Let k(g) = -279*g - 6. Let v(n) = -283*k(n) - 2*t(n). What is u(v(d))?
849*d
Let n(m) = m - 41. Let d(j) = 659*j**2 - 8*j - 1. What is d(n(t))?
659*t**2 - 54046*t + 1108106
Let z(h) = -5*h**2 + 30*h - 6. Let v(n) = -4*n**2 + 25*n - 5. Let o = 317 - 312. Let f(b) = o*z(b) - 6*v(b). Let m(t) = 164*t. Determine m(f(i)).
-164*i**2
Let q(w) = -16*w**2 - 72*w. Let f(r) = 127542*r. Calculate q(f(v)).
-260271388224*v**2 - 9183024*v
Let x = 113 - 112. Let o(g) = -35*g - 2 - 2*g + 5 - x. Let q(y) = -2*y**2. What is o(q(i))?
74*i**2 + 2
Let s(v) = 11*v. Let b(c) = -48489912*c. Give b(s(r)).
-533389032*r
Let b(g) = 5*g. Let i(s) = 2*s**2 - 171*s + 0 + 131*s - 118*s + 0. What is b(i(o))?
10*o**2 - 790*o
Let k(a) = -44*a. Let d(m) = -3*m**2 + 1720*m + 80. Determine k(d(x)).
132*x**2 - 75680*x - 3520
Let g(x) = 15*x**2 - 15*x - 2. Let t(l) = 4*l**2 - 14*l - 28. Let c(p) = -p**2 + 4*p + 8. Let b(i) = -14*c(i) - 4*t(i). Give g(b(j)).
60*j**4 + 30*j**2 - 2
Let l(f) = 34*f**2. Let y(t) be the second derivative of -t**5/30 + 103*t**2 - 71*t + 1. Let m(h) be the first derivative of y(h). Determine m(l(w)).
-2312*w**4
Let y(d) = -9*d - 1. Let o(v) = 880 - v + 884 - 1764. Calculate y(o(h)).
9*h - 1
Let k(h) = -h. Let z(j) = -9*j - 10*j - 12 + 8. Let u(g) = 45*g + 1830 - 1823 - 6*g. Let v(w) = -4*u(w) - 7*z(w). Give k(v(d)).
23*d
Let l(z) = 8*z**2 + 7*z. Let b(o) = 4*o**2 + 3*o. Let a(n) = 14*b(n) - 6*l(n). Let m(k) = -69310*k + 69310*k - 3*k**2. Calculate m(a(t)).
-192*t**4
Let z(i) be the third derivative of -i**5/20 + 115*i**2 - 5*i. Let k(v) = 7517*v. What is k(z(s))?
-22551*s**2
Let o(r) = -8*r**2. Let t(p) = 207 - 422 + 215 + 294*p**2 + 324*p**2. Determine t(o(w)).
39552*w**4
Let i(w) be the second derivative of -w**3/2 - 25*w. Let j(o) = -85*o**2 + 4*o + 12*o - 16*o - 17*o**2. What is i(j(f))?
306*f**2
Let x(l) = -4*l - 618 + 214 + 400. Let r(a) = -a**2 - 2 + 2. What is r(x(q))?
-16*q**2 - 32*q - 16
Let j(w) = -1959075*w**2 + 15*w + 2. Let s(a) = -a**2. Calculate j(s(m)).
-1959075*m**4 - 15*m**2 | {
"pile_set_name": "DM Mathematics"
} |
2750
What is seventeen quarters of a micrometer in nanometers?
4250
What is fourty-three quarters of a litre in millilitres?
10750
How many litres are there in 48.79ml?
0.04879
What is 25/8 of a meter in millimeters?
3125
What is 27/2 of a micrometer in nanometers?
13500
What is thirty-two fifths of a century in months?
7680
What is 861303.7nm in meters?
0.0008613037
What is 3/10 of a gram in milligrams?
300
How many decades are there in 957526.9 centuries?
9575269
How many grams are there in one tenth of a kilogram?
100
How many months are there in 1/20 of a century?
60
What is 7.598522 centuries in months?
9118.2264
How many micrometers are there in 3/10 of a centimeter?
3000
Convert 0.6874234nm to kilometers.
0.0000000000006874234
How many kilometers are there in 9969.134 nanometers?
0.000000009969134
What is 8748484.92 nanoseconds in weeks?
0.0000000144650875
Convert 3684.013m to micrometers.
3684013000
How many centimeters are there in 7/2 of a meter?
350
How many days are there in 16/7 of a week?
16
What is 1/5 of a hour in seconds?
720
Convert 639826.1 millennia to months.
7677913200
What is sixty-one halves of a millimeter in micrometers?
30500
What is one tenth of a century in years?
10
How many kilometers are there in 7.93442 centimeters?
0.0000793442
Convert 0.5838885 millimeters to nanometers.
583888.5
What is 62255.6 millilitres in litres?
62.2556
What is 626971.7 grams in nanograms?
626971700000000
How many nanoseconds are there in 39.86606 minutes?
2391963600000
How many nanograms are there in 3877.989mg?
3877989000
What is fourty-two fifths of a litre in millilitres?
8400
How many nanometers are there in 12/25 of a micrometer?
480
What is three tenths of a litre in millilitres?
300
How many milligrams are there in 3/8 of a gram?
375
What is 1/4 of a micrometer in nanometers?
250
How many microseconds are there in 3/5 of a millisecond?
600
How many months are there in 67/5 of a century?
16080
How many months are there in 114587.6 centuries?
137505120
How many milligrams are there in 77.407 tonnes?
77407000000
What is 12.6791 kilometers in micrometers?
12679100000
What is 2/125 of a millimeter in nanometers?
16000
What is 2.26152 centuries in years?
226.152
What is 1/4 of a kilometer in centimeters?
25000
How many meters are there in 0.9164885cm?
0.009164885
How many micrometers are there in eleven quarters of a centimeter?
27500
Convert 468.4468 nanograms to milligrams.
0.0004684468
How many millilitres are there in 13/5 of a litre?
2600
Convert 1088.368 nanograms to grams.
0.000001088368
How many millilitres are there in 0.1420381l?
142.0381
What is 90.04223um in centimeters?
0.009004223
Convert 0.1619499 litres to millilitres.
161.9499
How many kilograms are there in one fifth of a tonne?
200
How many millilitres are there in nine tenths of a litre?
900
How many months are there in thirteen fifths of a century?
3120
Convert 0.9577293 nanometers to kilometers.
0.0000000000009577293
Convert 309704.3 weeks to milliseconds.
187309160640000
Convert 325716.5 weeks to days.
2280015.5
Convert 829855.8mm to micrometers.
829855800
Convert 21943.692s to minutes.
365.7282
How many years are there in 32/5 of a decade?
64
What is three tenths of a microgram in nanograms?
300
What is three eighths of a millimeter in micrometers?
375
How many meters are there in 21/5 of a kilometer?
4200
How many kilograms are there in 6/25 of a tonne?
240
How many nanoseconds are there in five eighths of a microsecond?
625
How many years are there in thirty-four fifths of a decade?
68
What is thirteen eighths of a centimeter in micrometers?
16250
How many weeks are there in 20001.639 days?
2857.377
What is 1.435247 years in decades?
0.1435247
How many minutes are there in 21/5 of a week?
42336
What is 1.580142um in millimeters?
0.001580142
What is 71327.57l in millilitres?
71327570
Convert 235.911042s to days.
0.002730451875
Convert 875313.8 millilitres to litres.
875.3138
How many microseconds are there in 3/50 of a second?
60000
How many millimeters are there in 905.1755km?
905175500
What is five quarters of a century in years?
125
How many seconds are there in fourty-nine sixths of a minute?
490
What is 863141.4ms in seconds?
863.1414
How many millilitres are there in one quarter of a litre?
250
How many months are there in 55/6 of a year?
110
What is fifty-seven halves of a tonne in kilograms?
28500
What is 3/32 of a kilometer in millimeters?
93750
Convert 3569.82 days to milliseconds.
308432448000
Convert 433122.732 minutes to weeks.
42.968525
How many milliseconds are there in eighty-one halves of a second?
40500
How many milligrams are there in twenty-one halves of a gram?
10500
How many millilitres are there in thirty-one halves of a litre?
15500
What is 13/4 of a litre in millilitres?
3250
What is five quarters of a milligram in micrograms?
1250
What is 13/8 of a micrometer in nanometers?
1625
What is 22.2728 centuries in millennia?
2.22728
What is 0.492878l in millilitres?
492.878
Convert 7800.19ml to litres.
7.80019
How many kilograms are there in five quarters of a tonne?
1250
What is 0.1797299 seconds in nanoseconds?
179729900
What is 3/32 of a kilometer in centimeters?
9375
What is one quarter of a litre in millilitres?
250
How many kilograms are there in 0.0991099ng?
0.0000000000000991099
What is fourty-four fifths of a meter in millimeters?
8800
What is seven halves of a litre in millilitres?
3500
What is 558927.9 centuries in decades?
5589279
What is 0.1045408 years in decades?
0.01045408
How many years are there in 65.60123 decades?
656.0123
What is 64/7 of a week in minutes?
92160
What is eleven eighths of a centimeter in micrometers?
13750
What is 46/5 of a microgram in nanograms?
9200
What is 86.9535 litres in millilitres?
86953.5
What is seventeen quarters of a kilogram in grams?
4250
Convert 26.53816t to micrograms.
26538160000000
What is 3/8 of a millennium in years?
375
Convert 0.1770645ug to nanograms.
177.0645
What is 1/16 of a gram in micrograms?
62500
Convert 26516.493 milliseconds to hours.
0.0073656925
How many nanoseconds are there in 0.085167 minutes?
5110020000
How many millimeters are there in twenty-six fifths of a centimeter?
52
Convert 5001.61 microseconds to milliseconds.
5.00161
What is 7889.5 centuries in months?
9467400
How many milliseconds are there in 2.034877 days?
175813372.8
What is 17/2 of a milligram in micrograms?
8500
How many kilometers are there in 0.0205 nanometers?
0.0000000000000205
What is 13/5 of a kilogram in grams?
2600
What is 3/32 of a kilometer in centimeters?
9375
What is 2974.159 years in months?
35689.908
What is seven thirds of a decade in months?
280
How many millilitres are there in 47/4 of a litre?
11750
What is 12.345174ns in hours?
0.000000000003429215
How many minutes are there in eleven halves of a day?
7920
How many years are there in 7.424734 centuries?
742.4734
What is 9.35486 millilitres in litres?
0.00935486
How many months are there in 823.3335 years?
9880.002
Convert 678.803ml to litres.
0.678803
What is twenty-one quarters of a century in years?
525
Convert 83.09718 micrograms to nanograms.
83097.18
What is twenty-seven fifths of a centimeter in micrometers?
54000
What is 1/20 of a meter in centimeters?
5
Convert 49466.82 centuries to decades.
494668.2
What is seven halves of a microgram in nanograms?
3500
What is 6/25 of a kilogram in grams?
240
How many micrometers are there in 576.7426 millimeters?
576742.6
How many hours are there in eighteen sevenths of a week?
432
Convert 8256.762 milligrams to kilograms.
0.008256762
How many nanometers are there in 848079.5mm?
848079500000
How many months are there in two fifteenths of a century?
160
Convert 9753.129 hours to days.
406.380375
How many millilitres are there in 2/125 of a litre?
16
What is six fifths of a millennium in years?
1200
What is 26587.395ms in hours?
0.0073853875
How many micrometers are there in six fifths of a centimeter?
12000
What is 4857.978 nanometers in micrometers?
4.857978
What is 12/25 of a minute in milliseconds?
28800
What is 71/4 of a microsecond in nanoseconds?
17750
What is 919.627 milliseconds in seconds?
0.919627
What is 48/5 of a kilogram in grams?
9600
How many micrograms are there in 3/ | {
"pile_set_name": "DM Mathematics"
} |
) n (b) m (c) 0.4
b
Let y be (-50)/(-18) - (2 + -3 + 4). Let l = 1.1 + -1.4. What is the second biggest value in y, l, -2/7?
-2/7
Let r = 5 - 4.7. Let v be (-4)/14 + (-193)/35. Let i = v + 111/20. Which is the biggest value? (a) -5 (b) i (c) r
c
Suppose -9 = -3*c - 3*l, 0*c + 2*c = l - 6. Let s be ((-9)/3)/(c - 0). Let j = 3 - 2.6. What is the third smallest value in s, j, -0.5?
s
Let n = -2 - -3. Let k be n/5 + (-116)/380. Which is the smallest value? (a) k (b) -5 (c) -3
b
Suppose -5 = -3*t - 14. Which is the second smallest value? (a) -2/3 (b) t (c) 6
a
Let o = -0.36 + -7.64. Which is the second biggest value? (a) -2/9 (b) o (c) 4
a
Let z = 2 - 2.05. Let i = -0.35 + z. What is the second smallest value in -1/7, i, -0.2?
-0.2
Let i = -1.2 + 6.2. What is the third smallest value in 1/5, 6, i?
6
Let s = -13 + 18. What is the third biggest value in s, 7, -5?
-5
Let q = -8 - -5. Let u = -103/6 + 305/18. What is the second smallest value in u, -1/7, q?
u
Let z = 1.8 + -3.4. Let m = -1.2 - z. Which is the second smallest value? (a) m (b) 3/5 (c) -0.3
a
Let a = 16 - 14. Suppose -a*q = -6*q. What is the biggest value in q, 2/9, -0.1?
2/9
Let q = -6 + 0. Let d = -6 - q. Let s = 3 - -1. Which is the smallest value? (a) -0.1 (b) s (c) d
a
Let q be 4/(-10) + (-4 - (-696)/165). What is the second smallest value in -39, 1, q?
q
Let x be 2/5*(-1)/(-2). Which is the second biggest value? (a) -4 (b) x (c) -0.4 (d) -1/4
d
Let j = -7 + 4. Let t be 0/1 - (-9)/21. What is the third biggest value in j, 0.1, t?
j
Let o = 0.3 - 1. Let y = o + 0.5. Let d = y - 0.8. What is the second smallest value in -1/5, d, -3/2?
d
Let a = -15 - -10. What is the biggest value in a, -0.2, 3?
3
Let q = 2 - 5. Let o be 104/(-52)*(3/2 - -1). Which is the second smallest value? (a) q (b) o (c) -0.5
a
Let i be (-34)/6 + (-3)/9. What is the third smallest value in i, -2, -0.2?
-0.2
Let r = 9 + 3. Let k = 8 - r. What is the biggest value in 2/3, k, 8?
8
Let p = -21 - -20.9. Suppose -5*u + 15 = 5*v, 5*v + u - 23 = 4*u. Let w = 0.37 - -0.03. What is the biggest value in p, v, w?
v
Let f = -20 - -17. Let v = -19 - -10. Let q = 13 + v. Which is the third biggest value? (a) f (b) q (c) -1/6
a
Let w = 272/1617 - -2/147. Let j be 144/(-64) - 3/4. Let f = -1.1 - -0.1. What is the biggest value in j, w, f?
w
Let v(r) = -32*r - 2. Let z be v(-3). Let n be -2 - z/(-18) - 3. What is the biggest value in 0.4, -3, n?
0.4
Let h be (-7)/(-5) + (-6 - (-30)/6). Which is the third smallest value? (a) h (b) 3 (c) 0.25
b
Let z = -30 + 33. Which is the smallest value? (a) 1 (b) 5/2 (c) z
a
Suppose 6*f - 24*f = 126. What is the third smallest value in 0.2, f, -0.1, 1/12?
1/12
Let w = -6.8 + 7. Let k = 0.1 - w. What is the smallest value in 4, -2, k?
-2
Let q be -10*(-2)/16*-2. Let d = 2 - 4. Let l = -5 - d. What is the third smallest value in l, -0.4, q?
-0.4
Let q be (-2)/(-4) - (-14)/(-8). Let k be ((-3)/(-9))/(5/(-20)). Which is the second biggest value? (a) q (b) -4 (c) k
c
Suppose 14*s - 3*s + 44 = 0. Let k = -0.04 - -5.04. What is the third smallest value in s, k, 3?
k
Let k = -3.935 - 0.105. Let d = -0.04 - k. Let s = 7.3 - 7. What is the smallest value in s, d, 5?
s
Let f = 0.1 + -3.1. Let k = 8 + -6. Which is the second smallest value? (a) f (b) 0.4 (c) k
b
Let i = 28.7 + -29. What is the second biggest value in -3, i, 0.2, -4?
i
Let d = -2.56 + -2.5. Let j = d + 0.06. Let z = 24 - 20. Which is the second smallest value? (a) j (b) z (c) 2
c
Let k = -3.8 - -4. Which is the second biggest value? (a) k (b) 4 (c) -0.3
a
Let y = 1.52 - 0.8. Let j = 0.16 - y. Let d = j + 0.06. What is the third smallest value in 1/8, d, -0.2?
1/8
Let y = -3/32 + 73/96. Which is the second biggest value? (a) y (b) -1/7 (c) -11
b
Let v = -5 - 4. Let t = v + 6. Which is the third smallest value? (a) 1 (b) t (c) -5
a
Let a = 3 + -2.7. Let k = -0.4 - 0.1. Let x = -0.4 - k. What is the biggest value in x, 4, a?
4
Let r = 27 + -23. Which is the third smallest value? (a) -4 (b) r (c) 1/5
b
Let z = -7 - -6.9. Let i = -0.03 + 0.33. Which is the second biggest value? (a) 4 (b) z (c) i
c
Let x = 0.9 + 0.1. Which is the third smallest value? (a) -3 (b) -4 (c) x
c
Let i = 0.36 - 0.4. Let t = i - -0.02. Let l = t + -0.98. Which is the smallest value? (a) 3 (b) -2 (c) l
b
Let z = -27 + 26.9. Let g = -1 - -9/7. Which is the second smallest value? (a) 3 (b) g (c) z
b
Suppose 0 = -4*p + 2*p + 8, 3*g - 28 = -4*p. What is the second biggest value in g, 0.3, 0.5?
0.5
Let h be (-9)/312 - (-4)/26. What is the second biggest value in h, -2/13, -1, -0.2?
-2/13
Let z = 3.5 + 1.5. Which is the second smallest value? (a) -4 (b) -1/2 (c) z
b
Let m = 0.059 + -0.459. Which is the biggest value? (a) 0.1 (b) -0.1 (c) m (d) 4
d
Let g be (-22)/(-26) - (7 - 6). Let n = -1.3 + 0.3. Which is the biggest value? (a) 3/5 (b) g (c) n
a
Let x = -17 - 1. Let z = 18.02 + x. Which is the second biggest value? (a) -0.2 (b) 0.1 (c) z
c
Let l = -0.01 - 0.49. Let w = -240/7 + 34. Let i = 18 - 200/11. What is the third biggest value in l, i, w?
l
Let f = -24 - -34. Let q = f - 8. Which is the biggest value? (a) 2/9 (b) 1 (c) q
c
Suppose 4*y + 3 = -5*q - 2, 3*q = 2*y - 3. What is the smallest value in y, -2, 2/3?
-2
Let h = -96 + 95. What is the fourth biggest value in 5, h, -3, -7?
-7
Suppose 0 = -0*m + m - 2. Suppose 1 + 1 = m*c. Let w be c*-6*2/(-4). What is the second biggest value in 1, -0.3, w?
1
Let l(h) = h**3 + 5*h**2 - 2*h - 1. Let q be l(-3). Let g = 91/4 - q. Which is the second biggest value? (a) 0.18 (b) 0.2 (c) g
a
Suppose 6*g - 3*g - 753 = 0. Suppose 3*k - 5*p + g = -164, -2*p - 380 = 3*k. Let u be (2/(-4))/(k/(-40)). What is the second biggest value in -1/5, u, -2?
-1/5
Let f = -88 - -614/7. Let o = -12.2 + 0.2. Let l = o - -11.9. Which is the second biggest value? (a) l (b) f (c) -2
b
Let h = -3.05 - -3. Let f = h - 4.95. Let w(y) = y**3 - 8*y**2 + 7*y - 2. Let d be w(7). Which is the third smallest value? (a) f (b) 2 (c) d
b
Let s = -14 + 18. What is the smallest value in 0, s, -0.5?
-0.5
Let s = -1/18 - 13/90. Let j = 5.109 + -0.009. Let p = 5 - j. Which is the third biggest value? (a) p (b) -1 (c) s
b
Let w = -4 - -4.4. Let q = 2 - 4. Let z be ((-12)/(-45))/(2/(-5)). What is the second smallest value in w, z, q?
z
Let h = -4/35 + 1039/210. Let u = -16/3 + h. What is the third smallest value in -5, -1/3, u?
-1/3
Let t be 15/21 + (-6)/21. Let k = 36 + -35.5. What is the biggest value in 6, t, k?
6
Let o = 14 - 10. Which is the second smallest value? (a) -0.26 (b) o (c) -0.4
a
Let f be 4/6*6/4. Suppose 0*h - 15 = -5*h. Suppose 0 = -3*n + 4*v + 2, 3*n - 2*v = h*v + 1. What is the second biggest value in n, 1/5, f?
f
Let z = 2 + 0. Suppose -p + 2*p - z = 0. Which is the third smallest value? (a) -4 (b) p (c) -1/6
b
Let q = 33 - 33.5. Let k = 3 + -2.9. Let r = k - -0.4. What is the biggest value in 2/11, q, r?
r
Let d = -5 + 17/3. Let i = 6 - 2. Suppose 0*x - x + i = 0. What is the biggest value in d, -4, x?
x
Let l = -0.2 - -0.1. Let y = 0 + 0.5. Which is the second smallest value? (a) y (b) -2 (c) l
c
Let d = 103211 + -1138260/11. Let p = d - -267. Which is the smallest value? (a) 0 (b) 4 (c) p
c
Let m = -4.3 + 1.3. Let h = m + 0. What is the biggest value in h, -4, -2/17?
-2/17
Suppose -3 = 4*m + 5*g, 3*m + 12 = 6*m - g. Which is the smallest value? (a) -4 (b) 2/19 (c) m
a
Let t(a) = a + 5. Let c be t(-5). Let k = 0.5 + 0. What is the second biggest value in 4, k, c?
k
Let w = -171/4 - -1277/28. Let x = w - 79/35. What is the smallest value in 3, x, -5?
-5
Let p = -63 - -71.8. Let a = p - 9. Suppose 0*o + 2 = 2*n - 4*o, -3*o - 18 = 4*n. What is the biggest value in 3/7, n, a?
3/7
Suppose 15*g - 14 + 194 = 0. Which is the biggest value? (a) g (b) -2/15 (c) 1/3
c
Suppose 0 = -s + 4, -4*s + 10 + 15 = -3*h. Let o be -3 - 1/6 - h. What is the second smallest value in -1/4, o, -3?
-1/4
Let m = -17.5 - -21.5. Let p = 0.2 + 0. Let r = -2.2 + p. What is the second smallest value in -1, m, r?
-1
Let s be ((-78)/48 - -1) + 1. What is the fourth smallest value in 12, s, -4, 0.4?
12
Let q = 0.2 + 7.8. Let d = 17 - 16. Which is the third smallest value? | {
"pile_set_name": "DM Mathematics"
} |
Is (1/(o - 1))/(2/(-3548)) composite?
False
Let p(f) = -2*f**2 - 3*f + 130. Let q be p(0). Is (q/(-15) - 1)*-219 a prime number?
False
Let p = 13552 + 253245. Is p a composite number?
False
Suppose 16*o - 41415 = 11*o - 5*n, 0 = 5*n. Let x be 510/((-1)/(-1))*-9. Let t = x + o. Is t a composite number?
True
Let r(o) = 613*o**2 + 15*o + 11. Is r(18) composite?
True
Let l(y) = -33*y**3 - 12*y**2 - 55*y + 31. Is l(-12) composite?
False
Let w = 647 - 635. Is (w/(-8))/((-18)/12)*35 a composite number?
True
Let f(v) = 3*v**2 + 18*v + 46. Let m(s) = 8*s - 25. Suppose -4*z + 3*z - 10 = 4*t, t + 4 = 0. Let o be m(z). Is f(o) a composite number?
True
Is (-36)/(-33) + (-8067659)/(-781) a prime number?
True
Let k(m) = 1670*m**2 + 2*m - 1. Let t be k(1). Suppose 5*z = 3*s + 5696, 4*s - t = -2*z + 623. Is z a composite number?
True
Let z = 41 + -38. Let p(q) = -q**2 + 2*q - 3. Let v be p(z). Let d(x) = 8*x**2 - 2*x - 11. Is d(v) prime?
False
Let l(p) = -p**3 - 11*p**2 - 5*p - 53. Let q be l(-11). Suppose -q*o = -254 - 144. Is o composite?
False
Suppose -5*r + 396220 = -d, -2*r + 2*d + 11463 = -147033. Is r composite?
True
Suppose 0 = 2*q + 8, 0 = -4*o + 2*o - q + 32266. Suppose 5*m - o = -8*z + 3*z, -z + 3235 = 3*m. Is z a composite number?
True
Suppose 2*d = 5*j - 437, -3*j - 270 + 35 = d. Let a be d/(-6 + (-1 - -5)). Let o = a - -65. Is o composite?
True
Suppose 11426847 = 118*a - 2624239. Is a a prime number?
False
Suppose -5*q - 91 = 1034. Let c = -106 - q. Is c prime?
False
Suppose 0 = 8*z - 14*z + 36. Let t(n) = -n**3 + 11*n**2 - 9*n - 8. Let m be t(10). Suppose 0 = v + 3*p - 788, -m*p + z*p + 3997 = 5*v. Is v a composite number?
False
Suppose -5*r + 13 = 3*y, 0 = 2*r + 3*r - 5*y - 5. Let c(g) be the third derivative of 41*g**5/20 + 5*g**4/24 - g**3/2 - 2*g**2. Is c(r) a prime number?
True
Suppose -2*c - 2 = 0, 2*c - 5025 = 5*w - 28332. Is w prime?
False
Let x(y) = -201*y + 3064. Let i be x(17). Let t(h) = 185*h**3 + 2*h**2 - h. Let b be t(2). Let r = i + b. Is r a composite number?
True
Let o = -7766 + 40471. Suppose -5*p - 80739 = -j, -5*j - o = 3*p + 15744. Is 1/(-4) + p/(-48)*3 a prime number?
True
Suppose -16 = -18*t + 2*t. Is 6 - 7324/(-5 + t) prime?
False
Let m(x) = 6 + 6*x + 3 - 4*x - 6*x**3 - 31*x**3. Let s be m(-3). Suppose 4*a = -2*c + 498, -2*a = 4*c + 3*a - s. Is c composite?
True
Let k be (16/(-24))/(4/(-42)). Let a(q) = 50 - q**2 + q + 21*q - k. Is a(18) composite?
True
Suppose 604571 = 5*p + 4*r, -120910 = -p + 22*r - 27*r. Suppose 0 = 3*m - 2*h - h - p, -5*h = -m + 40289. Is m prime?
False
Let c = 4 + -5. Let z(u) = 3 + 448*u**2 + 55*u - 22*u - 31*u. Is z(c) a prime number?
True
Let f = -136528 - -202115. Is f a composite number?
False
Is (-255861)/(-6)*(-8)/(-12) a prime number?
True
Suppose r + 5*y - 26 = 0, 4*r + 5*y = 2*y + 70. Is -92674*4/r*-2 composite?
False
Suppose 0 = c - 3, 5*c + 291580 = r + 17348. Is r composite?
True
Suppose -4*l - 3*c = -4 + 1, -5*l - 2*c = -2. Suppose -5*r + 4 = -4*r. Suppose l = -r*x - 12, 4*s - 251 = -4*x + x. Is s a prime number?
False
Let q be (-19 + 15)*1*-1. Suppose -5*i + 17 = y - 0*i, -5*i + 7 = -q*y. Suppose 7*l - y*l = 1370. Is l prime?
False
Let m be 4/18 - (-888)/(-108). Let x = m + 13. Suppose -3*d - x*d + 2008 = 0. Is d composite?
False
Suppose -3*k - 8399 = 3*h - 317, 4*k - 2*h = -10806. Let m = -1812 - k. Is m a prime number?
True
Let l(g) = 35306*g - 7987. Is l(12) a prime number?
False
Let k = 2866 + -26. Let d = k + -1062. Suppose 0 = m - 2*s - 357 - 80, 4*m = -2*s + d. Is m composite?
False
Let v be 4/24 + (-18095)/(-6). Suppose -4*b - 3*y + v = 0, 0 = 5*b - 4*b - 4*y - 735. Is b prime?
True
Let x(w) = -6168*w + 8105. Is x(-13) a composite number?
False
Let z be 0*(7 + -3)/4. Suppose z = -2*f + 4*f. Is 143 - (0 - f)/(-3) a composite number?
True
Let u(b) be the third derivative of b**5/60 + 5*b**4/8 + 13*b**3/2 - 81*b**2. Is u(-32) a prime number?
False
Let l be -5*(4 + -4 - -3). Is 14779 + 9 + (-3)/((-9)/l) composite?
False
Suppose 2*g - 12 = 5*g, -3*n - 3*g = -9123. Suppose 2*u + 593 = n. Is u a composite number?
True
Let i = -4038 + 11035. Is i a prime number?
True
Let g = -41 + 50. Suppose 3443 = g*p - 1633. Suppose p + 821 = 5*k. Is k prime?
True
Let t(c) = 791*c**2 - 15*c - 85. Is t(-8) prime?
False
Let l(c) = -c + 1. Let r be l(-1). Suppose -d - 4*m = 22, r*d + 52 = -7*m + 3*m. Is 108/d + 4 - (-10823)/5 prime?
False
Suppose -2 = -2*x - 4*m, 8*m - 11*m = 3*x. Is ((-10)/(-10))/(-2*x/12742) a prime number?
False
Let c be (-30)/(-3) - (-12)/3. Let k be 11 + 4/(8/6). Is 2614/k + c/49 prime?
False
Suppose -4*g + 1589 = -o, -8*o - 6311 = -4*o - g. Let z(c) = -292*c**2 + c + 1. Let t be z(-1). Let k = t - o. Is k prime?
False
Suppose -907*u = -888*u - 3329351. Is u composite?
False
Suppose -20*h - 3*c - 1 = -15*h, c = h + 5. Is (-4 - (-5125)/(-15))*(h + -1) a prime number?
False
Let a(l) = -2*l**3 - 97*l**2 - 5 + 12 + 211*l**2 - 3*l - 103*l**2. Suppose 0 = -0*u - u - 10. Is a(u) composite?
False
Suppose -5*b + 941696 = 4*m, 5*m + 93*b = 95*b + 1177153. Is m prime?
False
Let t = 5359 + 9034. Is t composite?
True
Let j = -2242 + 12801. Is j composite?
False
Let y = -909315 - -1288420. Is y a prime number?
False
Suppose -j = -q + 36, -4*q + 100 = 3*j - 44. Suppose q*x - 1049 = 35*x. Is x composite?
False
Let y(o) be the second derivative of 3*o**8/448 + o**7/504 - o**6/720 - o**5/120 + o**4/3 + 6*o. Let q(w) be the third derivative of y(w). Is q(2) prime?
False
Let p(y) = -3*y**3 - 79*y**2 + 157*y - 62. Is p(-48) composite?
True
Let w(o) = -2*o**3 - 175*o**2 + 174*o - 443. Is w(-90) a composite number?
True
Suppose d - f = -4*f + 134, 4*f = 5*d - 613. Let v be (d/25)/(1/1). Suppose -4094 - 6461 = -v*r. Is r prime?
True
Suppose -214*h + 169*h + 29452095 = 0. Is h prime?
True
Let c(u) = -2906*u**3 - 23*u**2 - 250*u + 10. Is c(-9) prime?
True
Suppose -4*t = 4*n - 16, -6*t + t + 4*n + 11 = 0. Suppose 3*w - 6*c - 8013 = -t*c, -5*c = -w + 2671. Is w a prime number?
True
Suppose -146358 - 1411203 = -87*i. Is i a composite number?
False
Is (-4313066)/(-20) - (-102)/(-340) a composite number?
False
Let w(c) = 59*c**3 + 9*c**2 - 3*c - 177. Is w(10) composite?
False
Let z = -59 + 63. Suppose 6803 = -z*y + 54427. Is y a composite number?
True
Suppose -2*r - 2*n - 9868 = -5*r, -4*n = -4*r + 13156. Let l = r + -1929. Is l a composite number?
False
Let w(u) = 22363*u + 8957. Is w(32) a prime number?
True
Suppose 0 = 5*r + 20, 4*r - 3624 = -i + 22081. Let u = i + -10688. Is u a prime number?
False
Is (-6 + 2)*(-2)/8*91043 prime?
False
Let o be (14/(-21))/(3/(-2 + 18929)). Let h = -1893 - o. Suppose -h - 5138 = -j. Is j prime?
True
Let d(w) = 27*w**2 + 33*w - 225. Is d(-47) prime?
False
Let w(q) = 10*q**2 + q + 6. Let u be w(-7). Suppose u = -d - 562. Let m = d - -3254. Is m prime?
True
Let d = 526931 + -179058. Is d composite?
False
Suppose -3*l = -44*h + 45*h - 171754, 2 = 2*h. Is l a prime number?
True
Suppose -74 + 2 = -8*k. Suppose -6007 = -2*w + 5*z, k*z = 5*w + 4*z - 15040. Is w composite?
False
Suppose -5*p - 114 = -89. Is -4863*(p/(-3) - 2) prime?
True
Let b(r) = -3*r**3 - 72*r**2 - 8*r - 218. Is b(-57) a composite number?
False
Suppose -95*x - 22722 = -92*x. Let w be (x/(-3))/(8/12). Is (w/4)/7*4 a composite number?
False
Suppose 4*d = -4*d + 47360. Suppose -2*o = -3*b - d, 2*o = 6*o + 2*b - 11824. Is o a composite number?
False
Suppose 2*f = -2*s + 111448, -333*s + 329*s + 4*f + 222872 = 0. Is s composite?
False
Suppose 0 = -12*b + 56 + 40. Is (-1 - 0)*(-63 - b) composite?
False
Suppose 4*s + 260 = 9*s. Let n = s + -48. Is (-29410)/(-22) + n/22 prime?
False
Let i = 571 - 557. Is 100136/(-12)*(-21)/i a prime number?
True
Let a be 1*(-10)/5*1/(-1). Suppose 0 = -o - a*o. Suppose 7*m = -o*m + 5215. Is m a composite number?
True
Let b be (-99)/55 + 1 + 18/(-15). Is b/(2 - (-1161)/(-579)) + -4 prime?
False
Suppose -4*t + 193 = 185. Suppose t*v = -4*d + 9786, -v - 24453 = -6*v + 2*d. Is v prime?
False
Let s(r) = 5*r - 32*r**2 - 23*r**2 - 36*r**2 - 23 - 5*r**3 + 101*r**2. Is s(-7) composite?
True
Suppose -6813226 - 2932383 = -34*t - 1938835. Is t a prime number?
False
Let l(k) = k**3 - k**3 - 3*k**3 + 2*k**3 - 21*k**2 + 23. Let g be l(-21). Suppose -g = -o - 4. Is o a composite number?
False
Let n | {
"pile_set_name": "DM Mathematics"
} |
et f(n) = n**3 - 7*n**2 + 6*n. Let l be f(6). Suppose -3 = 3*b + 3*x, l*b = -2*b + 2*x + 2. Suppose -5*z + 4*z + 92 = b. Round z to the nearest ten.
90
Let k = 35.399 + 0.101. What is k rounded to zero dps?
36
Let x = -0.09 - -0.0889. Round x to three decimal places.
-0.001
Let y be (-30009)/(-3) - (-3)/(-3). Suppose -9998 - y = -2*b. What is b rounded to the nearest 10000?
10000
Let f = 10 - 4. Suppose -3*g - 8 = -y - 0*y, 4*g + f = -y. Suppose 0 = y*s - 125 + 5. Round s to the nearest ten.
60
Let j = 0.372 - 79.872. Let q = j + 60. Let v = 25 + q. What is v rounded to zero decimal places?
6
Let a = -32 - -32.46. Round a to one dp.
0.5
Let v = 347 + -582. Let u = 134 + v. Let h = 100.9999889 + u. What is h rounded to 6 dps?
-0.000011
Let m = 86921.899956 + -86919.6. Let k = m + -2.3. Round k to five dps.
-0.00004
Let s(t) = 58332*t**2 - 8*t. Let d be s(-6). Suppose -l - 5*c = d, -2*c = -5*c. Round l to the nearest 1000000.
-2000000
Let c = 574.9 - 599. Round c to the nearest integer.
-24
Let c = -147.5 + 123. What is c rounded to zero dps?
-25
Let a = -101 - -101.00000268. Round a to seven dps.
0.0000027
Let p(s) = -s**3 - s**2 - 10. Let z be p(0). Let c(m) = -5*m - 7. Let f be c(-5). Let r be 4*f*z*1. What is r rounded to the nearest 100?
-700
Let t = 3.824 + -0.104. Let q = -4 + t. Round q to 1 dp.
-0.3
Let b = -0.11 - -0.22. Let s = 0.11000085 - b. What is s rounded to seven dps?
0.0000009
Let d = -2 - -2. Suppose w = 3*j - 13, d*j + 20 = 5*w + 2*j. Let o be 56000 + 3 + -1 - w. What is o rounded to the nearest ten thousand?
60000
Let x(b) = 2899999*b**3 - 2*b**2 + 1. Let j(y) = -y**2. Let t be j(-1). Let q be x(t). Round q to the nearest one million.
-3000000
Let w = -3955802 - -3955801.8099991. Let s = w + 0.19. What is s rounded to 6 dps?
-0.000001
Let l be (1*2)/(0 - 2). Let z be (-11906)/(0 - l) + -2. Let q = 31908 + z. What is q rounded to the nearest 100000?
0
Suppose -3*r = -4*r + 2. Let v be (-266)/28*(-52)/r. Round v to the nearest ten.
250
Let m = -0.011 + 0.011037. What is m rounded to five dps?
0.00004
Let s = 3054361.099979 - 3054363. Let g = s + 1.9. What is g rounded to 5 decimal places?
-0.00002
Let v(n) = 102*n + 6. Let i(z) be the first derivative of 205*z**2/2 + 11*z + 2. Let r(x) = -4*i(x) + 9*v(x). Let d be r(-10). Round d to the nearest 100.
-1000
Let d = -37.968 + 21.9736. Let m = -16 - d. What is m rounded to 3 decimal places?
-0.006
Let w = -0.18 + 0.07. Let y = -0.109991 - w. What is y rounded to five decimal places?
0.00001
Suppose 4*v = -15 + 3. Let f be ((-2 - -2)/v)/(-1). Suppose 0 = -d - f*d + 3*u - 3599988, u = -d - 3600004. Round d to the nearest 1000000.
-4000000
Let d = 43 - 148. Let o = -46 - d. Let t = 59.00000159 - o. What is t rounded to seven dps?
0.0000016
Let n = -4.5 - -4. Let h = 0.5 + n. Let t = 0.22 - h. Round t to 1 dp.
0.2
Suppose -23384 = -g - 3284. Let d = 3 - 1. Suppose -d*r = r - g. Round r to the nearest 1000.
7000
Let a = 6 + -10. Let h be (2 + 248)/(a/(-1056)). Round h to the nearest ten thousand.
70000
Let y be 6/((-48)/124)*4000. Round y to the nearest 10000.
-60000
Let m = 777.9999649 + -778. What is m rounded to five dps?
-0.00004
Suppose -13*y + 17*y - 1840000 = 0. What is y rounded to the nearest one hundred thousand?
500000
Let m = 39.0000111 - 39. What is m rounded to 6 decimal places?
0.000011
Let j = 0.727 - 0.71966. Round j to three decimal places.
0.007
Let p = -16 - -15.9999971. What is p rounded to 6 decimal places?
-0.000003
Suppose -3*b - 5*u = 3, 4*b - 3*b = -3*u + 3. Let j(d) be the first derivative of 2278*d**3/3 + d**2 + 4*d - 9. Let i be j(b). Round i to the nearest 10000.
80000
Let f = -5.9 - 0.1. Let p = -5.995 - f. Round p to three decimal places.
0.005
Let j = -13.778 + 14. Round j to two dps.
0.22
Let n = -9355.019973 - -9355.1. Let g = -0.08 + n. What is g rounded to five dps?
0.00003
Let w = 1775572.8993 + -1775669. Let i = 130.10018 + w. Let l = i + -34. What is l rounded to four decimal places?
-0.0005
Let x = -1262838 + 2647667. Let l = x - 1384812.00014. Let z = l + -17. Round z to four decimal places.
-0.0001
Let y(m) = 634*m**2 - m - 3. Let q be y(3). What is q rounded to the nearest one thousand?
6000
Let i = -85 + 78.2. Round i to the nearest integer.
-7
Let p = 0.132 + -0.1319947. Round p to six decimal places.
0.000005
Let u = -83.41 - -46.1396. Let z = u - -39.07047. Let j = 1.8 - z. Round j to 4 dps.
-0.0001
Let k = 10.09 + -0.09. Let a = -7.5 - k. What is a rounded to 0 dps?
-18
Let s(z) = z**2 + 6*z + 7. Let m be s(-5). Let i be 25/1 - (-1 + m). Suppose 51 = -3*f - i. What is f rounded to the nearest 10?
-30
Let k = 0.23 - 0.06. Let m = -0.17000038 + k. Round m to 7 dps.
-0.0000004
Let m = 2234 + 47525. Let z = -49759.080059 + m. Let s = 0.08 + z. Round s to 5 decimal places.
-0.00006
Let w = 6 + -11. Let f = 5.3 + w. Let s = -0.30000025 + f. What is s rounded to seven dps?
-0.0000003
Let l(g) = -3*g - 1. Let n be l(-1). Let b(u) = 900000*u. Let t be b(n). Suppose -4*x - t = -2*x. What is x rounded to the nearest 100000?
-900000
Let v = 56.0000472 + -56. What is v rounded to five dps?
0.00005
Let c = 148.9 - 116.14. Let v = -34 + c. Round v to 1 decimal place.
-1.2
Let j = -307.262 + 307. What is j rounded to 2 decimal places?
-0.26
Let u = 29.2 + -3.2. Let p = 25.99956 - u. Round p to 4 decimal places.
-0.0004
Let z = -157 + 281. Let i(s) = s**3 + 3*s**2. Let h be i(-4). Let d = h + z. What is d rounded to the nearest ten?
110
Let d(v) = 212246*v**2 + 6*v - 12. Let h be d(-7). What is h rounded to the nearest 1000000?
10000000
Suppose -11*g + 9*g - 43800 = 0. What is g rounded to the nearest one thousand?
-22000
Let c be 0*(-1)/2 + -3. Let f be -4*c/6 + -9002. What is f rounded to the nearest ten thousand?
-10000
Let x = -0.466 + 0.5386. What is x rounded to 2 dps?
0.07
Let t = -5587 - -9587. Let s(l) = l**2 + 4*l + 3. Let h be s(-4). Suppose -t = -a - h*a. Round a to the nearest 1000.
1000
Let g = 0.24 - -2.36. Round g to one decimal place.
2.6
Let d = -1.10000128 + 1.1. What is d rounded to 7 decimal places?
-0.0000013
Let s = 25 + -634. Let n = s - -1449. What is n rounded to the nearest 100?
800
Suppose 2*k + 2*x - 204 = -3908, 0 = 5*k + x + 9260. Let a be k/(-5) - 4/10. What is a rounded to the nearest 100?
400
Let p = -29 - -29.016. What is p rounded to two decimal places?
0.02
Let a = -65.979 - -66. Round a to 1 dp.
0
Suppose 21*t = 18*t - 1140. What is t rounded to the nearest one hundred?
-400
Suppose 0 = 4*x + 5*z - 338, -2*x = 3*x + 2*z - 414. What is x rounded to the nearest ten?
80
Let o = -253 + 251.49. Let s = o - -10.21. Let t = s + -8.69953. Round t to four decimal places.
0.0005
Let w = -106 + 29. What is w rounded to the nearest ten?
-80
Let c = 2.6035 - 2.6. Round c to 3 decimal places.
0.004
Let y = -14.5 - -35.7. Let u = y + -23. Round u to 1 dp.
-1.8
Suppose 0 = 3*h + 2*h. Suppose -5*x = -5*r - 20, -2*r + h = 3*x - 12. Suppose -x*m + 13000 = -6*m. What is m rounded to the nearest 1000?
-7000
Let p = -166.93967 - 1.13133. Let c = p + 168. What is c rounded to 2 dps?
-0.07
Let n = 13 + -6. Let d = n - 0. Let s = d + -7.003. Round s to 3 decimal places.
-0.003
Let w = -354 - -765. Let v = w - 669. Let s = -4058 - v. What is s rounded to the nearest one thousand?
-4000
Let k = -0.3699905 + 0.37. Round k to 6 dps.
0.00001
Let s(v) = 5*v. Let l be s(-1). Let f(a) = -1660*a. Let p be f(l). Round p to the nearest 1000.
8000
Let d = -29 - -28. What is d rounded to the nearest ten?
0
Let t = 5.3 + -27.3. Let p = -21.77 - t. What is p rounded to one decimal place?
0.2
Let u = 601 - 266. Round u to the nearest one hundred.
300
Let y = 0.17 + 5.83. Let p = 0.598 + -6.658. Let s = p + y. What is s rounded to 2 decimal places?
-0.06
Let c(y) = 784*y + 1. Let z be c(7). Suppose -4*w - 3*l = 2*l - 5465, -4*w + 3*l = -z. Round w to the nearest one hundred.
1400
Let h = -1663 + 6095. Suppose 0*c = 2*l - 4*c + h, 6 = -3*c. What is l rounded to the nearest 100?
-2200
Let o = 91036783 + -91037772.16929. Let b = o + 988.7. Let p = b + 0.47. Round p to four dps.
0.0007
Let k = -0.595 - -0.344. What is k rounded to 2 decimal places?
-0.25
Let l = -549.675 + 573. Let m = l - 23. Let k = m - 0.3. Round k to two decimal places.
0.03
Let j = -0 | {
"pile_set_name": "DM Mathematics"
} |
Suppose 0 = -20*w + 17*w. Suppose 53 = -w*s + s. What is the tens digit of s?
5
Suppose 2*r - 2*a = 814, r - a = 2*a + 397. What is the tens digit of r?
1
Let o = 0 + 2. Suppose o*h = -2*h + 136. Suppose 2*m = 4*l + h, -2*l - 73 = -5*m + 2*l. What is the tens digit of m?
1
Let p = -111 + 68. Let y = -19 - p. What is the tens digit of y?
2
Let k be (-6)/(-15) - (-26)/10. Let j(r) = r - k + 3. What is the units digit of j(8)?
8
Let i = -49 - 27. What is the units digit of (4 - i/(-16))*-8?
6
Let p(h) = h**2 + 2*h - 6. Let a = -16 - -9. Let v be p(a). Let r = -17 + v. What is the units digit of r?
2
Suppose 2 - 64 = -r - 3*z, 0 = 3*r - z - 186. What is the tens digit of r?
6
Let c be (1 + (-8)/6)*-6. Suppose 5*l = -4*t - 0*l - 8, -t + 3*l + 15 = 0. Let d = t - c. What is the units digit of d?
1
What is the tens digit of 134/4 + (-14)/(-28)?
3
Suppose 0 = -5*m - 5 + 20. Suppose -5*r + m*r + 2 = 0. Suppose -4*o - r = 2*b - o, 3*b - 6 = -3*o. What is the units digit of b?
7
Let d be (-76)/6*(-9)/2. Suppose 2*t - 47 + 13 = 4*i, 0 = 4*t + 3*i - d. Suppose -2*k = -t + 1. What is the units digit of k?
7
Let p(g) be the first derivative of -g**4/12 + 7*g**3/6 - 3*g**2/2 - 3*g + 2. Let r(f) be the first derivative of p(f). What is the units digit of r(6)?
3
Let x = -13 + 17. What is the units digit of (-2)/(x/4) - -12?
0
Let i(z) = 29*z**2 - 1. What is the hundreds digit of i(-2)?
1
Let q = 8 - -6. Let r = -10 + q. Suppose n - 60 = -r*n. What is the tens digit of n?
1
Let z = -2 - 1. What is the units digit of (-83)/z + 1/3?
8
What is the units digit of 2*2 + (203 - 3)?
4
Suppose 3*d - 84 = 66. What is the units digit of d?
0
Suppose 0 = 4*z - 2*i + 65 - 281, 3*z + 5*i - 149 = 0. Let q = -38 + z. What is the units digit of q?
5
Let s = -14 + 4. Let x(u) = u**3 + 5*u**2 + 3. Let h be x(-4). Let f = h + s. What is the units digit of f?
9
Let c = -3 - -8. Suppose -33 = c*w - 83. What is the tens digit of w?
1
Let o be 176/(-18) + (-4)/18. Let y = 2 - o. What is the units digit of y?
2
Suppose -k + 5*p + 63 = 0, 0 = 3*k + 5*p - 0*p - 289. What is the tens digit of k?
8
Let r be (-1)/(-3)*(10 + -4). What is the tens digit of (6/(-9) + r)*9?
1
Suppose -5*q - 7 + 22 = 0. Let m be ((-10)/(-3) - 2)*15. Suppose -t + m = q*t. What is the units digit of t?
5
Let o be (-146)/(-10) + 3/(-5). Let d = o - 8. What is the units digit of d?
6
Suppose -4*a = -0*a - 124. Suppose t - a = -3*t - 3*l, -4*l + 25 = 3*t. What is the units digit of t?
7
Let u(n) be the first derivative of -n**2 + 3 + 1/3*n**3 + 1/4*n**4 + 3*n. What is the tens digit of u(2)?
1
Let g be 2*(0 + -2 - 1). Let w(s) = 2*s**3 - 2*s**2 + s - 8. Let d(o) = o**3 + o**2 - o - 1. Let f(t) = -3*d(t) + w(t). What is the units digit of f(g)?
7
Suppose 4*t + 2*o - o = 11, 15 = 5*t + o. Suppose r = 3*r - 4. Suppose -3*f + 2*x = -13, -f = -r*x + 3*x + t. What is the units digit of f?
1
Let p(r) be the second derivative of -3/20*r**5 - 3*r + 0 - 1/6*r**4 + 0*r**2 + 0*r**3. What is the tens digit of p(-2)?
1
Let i(n) = 12*n**2 - n + 1. Let m = 2 + -1. What is the units digit of i(m)?
2
Suppose 7*c = 71 + 594. What is the units digit of c?
5
Let g = 29 - 51. Let s = g + 44. What is the tens digit of s?
2
Let b = -26 - -23. What is the tens digit of b/2*136/(-6)?
3
Let c = -52 + 12. What is the units digit of ((-1)/1 + c)/(-1)?
1
Suppose 4*y + 5*s = 656, -6*y + 326 = -4*y + 3*s. What is the tens digit of y?
6
Suppose 0 = d - 9*d + 480. What is the tens digit of d?
6
Let b be -10 - -6*4/(-8). Let p = 41 + b. What is the tens digit of p?
2
Let g(w) = w**3 - 7*w**2 + 5*w + 8. Let d be g(6). Let v be (-12)/(-42) + 9/(-7). Let a = v + d. What is the units digit of a?
1
Let p be (-2)/(-8) - 360/32. Let o = p - -16. Suppose 3*j = -15, -j - 3 = -3*q + o. What is the units digit of q?
1
Suppose -12 = -3*n, y - 6*y = 4*n - 286. What is the tens digit of y?
5
Suppose 3*y - 17 = 28. What is the tens digit of y?
1
Let c(q) = 9*q**2 + 2*q - 1. Let k be c(1). Suppose k = -d - 0*d. What is the units digit of (-56)/d + 2/5?
6
Let r be (-1 - -1) + 3 + -5. Let i = r - -10. What is the units digit of i?
8
Let l(h) = h**3 - 10*h**2 - 12*h - 8. What is the units digit of l(12)?
6
Let m(d) = d**2 + 15*d + 15. Let i be m(-13). Let f = i + 45. What is the units digit of f?
4
Let g(l) = 2*l**3 - 4*l**2 - l + 1. Let b be g(3). What is the units digit of ((-24)/b)/(2/(-40))?
0
Let k(n) = 2*n**2 - n + 1. What is the units digit of k(0)?
1
Let b = -4 - -7. Let d be (-2)/(-1 + 0/2). Suppose -b*x - d*n = -9, -3*n + 1 = 2*x - 0. What is the units digit of x?
5
Let f(i) = 3*i + 2. Let z be f(2). Suppose 5 = h + z. What is the units digit of ((-2)/2)/(h/6)?
2
Suppose 11*w + 57 = 14*w. What is the units digit of w?
9
Let r(c) be the first derivative of c**3/3 - 2*c**2 - 4*c + 3. What is the units digit of r(6)?
8
Let c(m) = m**3 + 7*m**2 + 7*m + 6. Suppose 18 = 2*r - 5*r. Let o be c(r). What is the units digit of 14/(o/(-3) - -2)?
7
Suppose 4*u + 0*u - 8 = 0. Suppose 27 = q - u*o, -4*o = q + 2 - 5. What is the units digit of q?
9
Let k be 8*11 - (10 + -7). Suppose k - 10 = 3*c. What is the units digit of c?
5
Let m = -21 + 25. Let z(q) = 5*q**2 - 7*q**3 + 6 + q**2 + 6*q**3 - 4*q. What is the tens digit of z(m)?
2
Suppose 4*y - z + 52 = 0, 3 = 3*y + 5*z + 19. Let f = y - -21. Let i = f - 3. What is the units digit of i?
6
Let g be 4*3/(12/(-7)). What is the units digit of ((-20)/(-14))/((-1)/g)?
0
Let r be (2/3)/(5/45). Let u(n) = -n**2 + 7*n + 4. What is the tens digit of u(r)?
1
Suppose -14 = -4*i + 22. Suppose -b = -4*a + 8 + 14, 14 = -2*b + 2*a. Let c = i + b. What is the units digit of c?
7
Let z be (-6)/9*3*1. What is the tens digit of 1 + -4 - (z - 11)?
1
Suppose -49*q - 1565 = -54*q. What is the hundreds digit of q?
3
Let b = -46 - -90. Let u be (-109)/4 - (-2)/8. Let g = u + b. What is the tens digit of g?
1
Let o(f) = -f**2 + f + 5. Let q be 2 - 9 - (-2 - 0). Let c be o(q). What is the tens digit of c/(-2) + (-3)/(-6)?
1
Suppose -1 = 2*s - 7. Suppose -s + 15 = 4*w. Suppose 0 = -4*y + w*d - 3, -y + 2*d = -6*y + 25. What is the units digit of y?
3
Let w(z) = 2*z**2 - 9*z - 2. What is the units digit of w(9)?
9
Let x(u) = -u**3 + 9*u**2 - 4*u + 9. What is the units digit of x(7)?
9
Let m(y) = -y**3 + 3*y**2 + 5*y + 3. What is the tens digit of m(-4)?
9
Let v(x) be the first derivative of -x**3/3 - 7*x**2/2 - 7*x + 2. Let i be v(-7). Let a = -3 - i. What is the units digit of a?
4
What is the tens digit of ((-42)/10)/((-10)/50)?
2
Suppose -64 - 80 = -2*v. Let i = v + -40. What is the tens digit of i?
3
Let y(t) = -5*t - 10. Let c(w) = -6*w - 10. Let k(p) = 6*c(p) - 7*y(p). What is the tens digit of k(-7)?
1
Let d be (-1 - -3) + (-4)/(-2). What is the tens digit of 1498/56 - (-1)/d?
2
Suppose 5*w - 4*w = 5. Let d(p) = p**2 - 5. What is the tens digit of d(w)?
2
Suppose 5*u - u = 20. Suppose 20 = u*o, o - 16 = -2*a - o. What is the units digit of a?
4
Suppose 103 = 8*x - 7*x. What is the tens digit of x?
0
Let c = -9 + -17. What is the units digit of c/(-3) - (-4)/12?
9
Let u be 1 - ((-3 - 0) + 0). Let p(f) = -f - 4. Let x be p(-6). Suppose -x*y + u*y - 18 = 0. What is the units digit of y?
9
Let z(c) = 2*c - 10. Let k be z(8). Let n be (k/9)/((-2)/(-3)). Suppose 5*w = 4*w + n. What is the units digit of w?
1
Let h = 83 - 49. What is the units digit of h?
4
Suppose 18 = 2*s - 18. Let b(c) = -3*c - 2. Let y be b(-2). Suppose 17 = -r - 3*r - 5*q, 2*q = y*r - s. What is the units digit of r?
2
Suppose 2*f - 10 = 0, -2*h = -0*f + 3*f - 175. What is the units digit of h?
0
Let q = 79 - 31. What is the units digit of q?
8
Suppose 4*y - 6 = -2*l + 12, -4*l - 16 = -5*y. Let k be l/(-4) - 20/(-16). What is the units digit of 0/(-1) + k + 1?
2
Let w be (-1 + 4)*10/15. Suppose y + 137 = 5*g, 2*g - 64 = 3*y + w*y. What is the units digit of g?
7
Suppose m + 3 = -1. Let j = m + 10. Suppose 2*q + 3*f = 2, 4*q - j = 3*f + 34. What is the units digit of q?
7
What is the units digit of (-16)/(-2)*(-9)/(-3)?
4
Let c(b) = 2*b + 1. What is the tens digit of c(12)?
2
Let g = -8 + 12. Let x be (-1 - (-6)/g)*-6. Let m = 5 + x. What is the units digit of m?
2
Let o(k) = -3*k + 2. Let g be 0 + 2 + (-3 - -1). Suppose g = 2*h + z + z + 8, 3*z = h. What is the units digit of | {
"pile_set_name": "DM Mathematics"
} |
Let s(g) = b*y(g) - 6*a(g). What is z(s(t))?
768*t**2
Let h(p) = -7*p + 1. Let c(t) = 241*t**2 - 8*t. What is h(c(m))?
-1687*m**2 + 56*m + 1
Let s be (52/(-5))/(-2)*25/10. Let f(n) = -n**2 + 6 - s + 7. Let v(x) be the second derivative of -16*x**3/3 - 5*x. Give f(v(a)).
-1024*a**2
Suppose 0 = -3*w + 28 - 10. Suppose w = -9*y + 7*y. Let h(a) = -a - 3. Let s(v) = 2. Let q(p) = y*s(p) - 2*h(p). Let l(j) = -6*j**2. Give l(q(u)).
-24*u**2
Let m = 17 + -40. Let n = -11 - m. Let t(p) = 0*p**2 + n + 2*p**2 - 12. Let d(o) = o. Determine d(t(i)).
2*i**2
Let k(m) be the third derivative of 0*m**3 - m**2 + 0 + 157/24*m**4 + 14*m. Let p(f) = -2*f. Give k(p(h)).
-314*h
Let y(g) = 6*g. Let v(k) = -4207002*k**2. Determine v(y(u)).
-151452072*u**2
Let b(m) = -2*m. Let l(o) = -o. Let t(u) = -b(u) + l(u). Suppose 3*k - 2*q - 14 = 0, -3*k = -q - 12 + 2. Let a(p) = -29 + 29 - 2*p**k. Calculate t(a(s)).
-2*s**2
Let f(i) = 3*i. Let q(j) = -479*j. Let w(a) = -4796*a. Let m(o) = -121*q(o) + 12*w(o). Give f(m(v)).
1221*v
Let o(i) = 8*i**2. Let b(l) = 5*l**2 - 6. Let a(w) = -10*w**2 + 11. Let m = -2512 - -2506. Suppose -2 - 9 = k. Let v(x) = k*b(x) + m*a(x). Calculate o(v(s)).
200*s**4
Let q(y) = -2119*y**2. Let c(p) be the first derivative of -2*p**3/3 - 181. Calculate q(c(t)).
-8476*t**4
Let j be (0 - (1 - 4))*6. Let r(w) = 25 + 30*w + j - 43. Let i(g) be the first derivative of g**2 + 4. What is r(i(l))?
60*l
Let u(n) = -2*n + 101063. Let x(m) = -11*m. Calculate u(x(s)).
22*s + 101063
Let x(r) = 4*r + 1342. Let n(y) = 26*y**2 + 63*y - 84. Let t(v) = -5*v**2 - 12*v + 16. Let q(g) = 4*n(g) + 21*t(g). Determine q(x(i)).
-16*i**2 - 10736*i - 1800964
Let m(d) = 225*d**2 - 34*d + 34*d - 117*d**2. Let s(k) be the second derivative of -k**4/12 + 11*k. Determine m(s(a)).
108*a**4
Let a(s) = -81*s. Let g(q) = 4*q**2 - 4*q - 683. Determine g(a(x)).
26244*x**2 + 324*x - 683
Let l(d) be the first derivative of -d**3/3 + 3994. Let s(r) = -3291*r**2. Determine l(s(z)).
-10830681*z**4
Let z(v) = 4*v - 7*v + 18*v - v. Let d = 39 + -6. Let n(u) = d*u - 3 - 35*u + 3. What is n(z(x))?
-28*x
Let l(g) = -192*g**2 + 163*g - 416. Let x(f) = f**2. What is l(x(m))?
-192*m**4 + 163*m**2 - 416
Let b(d) = 2*d**2 - 3*d + 1. Let j(o) = 11*o**2 - 15*o + 5. Let w(y) = 5*b(y) - j(y). Let u(z) = -67*z - 13. What is u(w(f))?
67*f**2 - 13
Let g(a) = -11*a - 12*a - 3 - 11*a + 53*a - 16*a. Let i(x) = -x + 2. Let h(m) = 2*g(m) + 3*i(m). Let c(j) = -55*j - 2. Calculate c(h(t)).
-165*t - 2
Let q(r) = -32*r - 1. Let u(i) = 330*i + 5. Let l(y) = -5*q(y) - u(y). Let m(p) be the first derivative of -p**3/3 - 1. Determine l(m(j)).
170*j**2
Let x(j) = 5*j. Let v(d) = -263 - 2*d**2 + 29862*d - 29862*d. Calculate v(x(f)).
-50*f**2 - 263
Let o(b) = 5*b - 6. Let f(q) = 68*q**2 - 51*q - 4437. Let p(w) = -w**2 + w + 87. Let c(z) = -5*f(z) - 255*p(z). Determine o(c(l)).
-425*l**2 - 6
Let p(n) = 16*n**2 - 236917 + 236917. Let k(t) be the first derivative of -t**4/24 - 3*t**2 - 13. Let a(i) be the second derivative of k(i). Give a(p(r)).
-16*r**2
Let m(t) = -t. Let g(y) be the second derivative of -y**6/144 - y**5/30 - 7*y**4/4 + 121*y. Let z(x) be the third derivative of g(x). What is m(z(p))?
5*p + 4
Let i(n) be the first derivative of -74*n**3/3 + 1319. Let d(j) = 7*j. Give d(i(s)).
-518*s**2
Let j(h) = -h**2. Let o(g) = -g**3 + 5*g**2 + g. Let k be o(5). Suppose 2*d - 16 + 62 = 4*n, -k*n + 5*d = -70. Let a(w) = -8 + 8 - n*w - 2*w. Determine j(a(f)).
-121*f**2
Let h(j) = -894*j. Let g(p) = -8*p**2 - 141*p + 3. Let a(q) = -q**2 + 47*q - 1. Let w(f) = 3*a(f) + g(f). What is h(w(y))?
9834*y**2
Let q(p) = 7*p + 32. Let s be q(-3). Let o(f) = -143*f + 143*f - s*f**2. Let j(r) = -12*r. Give o(j(y)).
-1584*y**2
Let h(r) = -32*r**2 + 2 + 0 - 3 + 0. Let o(f) = f + 12. Let c(d) = -4*d - 52. Let v(j) = 6*c(j) + 26*o(j). Give v(h(t)).
-64*t**2 - 2
Let q(j) = 26468512*j. Let w(n) = 3*n**2. Calculate w(q(h)).
2101746382482432*h**2
Let k(w) = 2*w. Let u(x) = 425 + 5*x**2 + 4356120*x - 4356120*x. What is k(u(h))?
10*h**2 + 850
Let c(x) = 16*x. Let i(a) = -2*a**2 - 203486*a + 2. Calculate i(c(y)).
-512*y**2 - 3255776*y + 2
Let k(s) = -1002*s. Let l(b) = 2*b**2 - 31*b + 158. What is k(l(w))?
-2004*w**2 + 31062*w - 158316
Let j(u) = 6*u**2. Suppose 68*q = 52*q + 192. Let r(s) = 27*s + 2*s + 2*s - q*s. Calculate r(j(x)).
114*x**2
Let p(h) be the second derivative of 79*h**4/12 - 2*h + 25. Let f(m) = 20*m**2. Give p(f(v)).
31600*v**4
Let t(a) = 336*a + 42. Let h(m) = 33*m + 4. Let x(p) = -21*h(p) + 2*t(p). Let b(l) = 26*l**2. Determine x(b(f)).
-546*f**2
Let r(j) = 3*j - 318. Let f(l) = 14*l - 1431. Let b(h) = 2*f(h) - 9*r(h). Let i(o) = 2*o + 23. Let p(s) = s + 22. Let c(v) = 3*i(v) - 4*p(v). What is c(b(z))?
2*z - 19
Let k(c) = 2125*c**2 - 5*c - 1. Let r(a) = 412*a. Determine k(r(i)).
360706000*i**2 - 2060*i - 1
Let a(j) = 7*j**2. Let f(q) be the second derivative of 0*q**2 - 77*q + 0 - 13/6*q**3. Determine f(a(d)).
-91*d**2
Let s(h) = h**2 + h - 9868. Let k(j) = -4*j + 50. Calculate s(k(q)).
16*q**2 - 404*q - 7318
Let p(i) = 2*i**2. Let o(q) = -q**3 - 6*q**2 - 11*q - 10. Let u be o(-4). Let g(l) = -5*l**2 - 6*l**2 + 172*l - 5*l**2 + 17*l**u. Calculate g(p(z)).
4*z**4 + 344*z**2
Let b(n) = -41465 + 41465 - 2*n**2. Let k be 3 + -2 - 0 - -177. Let c(t) = -18*t + 178 - k. Calculate c(b(o)).
36*o**2
Let r(t) = 18*t. Let h(z) = z - 2. Let l(f) = 4*f - 8. Let x be l(-5). Let j(m) = 8*m - 14. Let s(n) = x*h(n) + 4*j(n). Give s(r(i)).
72*i
Let o = -24303 + 24303. Let k(u) be the second derivative of 0*u**2 + o*u**3 + 0 - 31*u + 1/6*u**4. Let m(n) = -5*n. Give m(k(v)).
-10*v**2
Let a(p) = 2*p**2 + 50*p - 3. Let f(x) = -581*x. Give a(f(h)).
675122*h**2 - 29050*h - 3
Let u(g) = 55*g**2 + 77*g. Let c(x) = 24 - 6*x + 8*x - 5 - 19. Calculate u(c(i)).
220*i**2 + 154*i
Let q(v) = -1898*v**2. Let p(l) = 22*l**2 + 9*l**2 - 57*l**2 + 23*l**2. Determine q(p(a)).
-17082*a**4
Let b(h) = -27*h. Let z(o) be the first derivative of 13*o**5/60 - 2*o**2 - 10. Let q(j) be the second derivative of z(j). Give b(q(w)).
-351*w**2
Let j(o) = -4*o. Let z(k) = 3*k. Let s(w) = -5*j(w) - 6*z(w). Let d(c) = -7*c + 35. Calculate d(s(a)).
-14*a + 35
Let g(v) be the third derivative of v**5/20 + 16*v**2 + 34*v - 1. Let o(w) be the third derivative of 7*w**5/30 + w**2. Give o(g(m)).
126*m**4
Let z(a) = 8*a. Let l(t) be the first derivative of 11*t**2/2 + 10*t + 2506. What is z(l(g))?
88*g + 80
Let g(w) = -3*w**2 - 2. Let f(z) = z**2 + 1. Let o(u) = 2*f(u) + g(u). Let c be -9*(6/(-27) - 0). Let x(n) = -15 + 13 + c - 7*n. What is x(o(j))?
7*j**2
Let u(x) = -98331162*x. Let k(r) = r. Give u(k(n)).
-98331162*n
Suppose 118 = -4*a + 3*a + q, -4*q = -2*a - 246. Let l = -77 - a. Let v(o) = -3*o - 36 + l. Let p(i) = -4*i. Determine p(v(s)).
12*s
Let t(x) = -3*x. Let j(r) = 3 + 21 - r + 88 + 51 - 31. Calculate t(j(g)).
3*g - 396
Let u(w) = 35*w. Let h(c) = -227*c**2 + 14556*c - 29123*c + 14567*c + 1. Give u(h(g)).
-7945*g**2 + 35
Let l(p) = 5*p - 397657852 + 397657852. Let b(m) = 0*m**2 - m**2 + 3*m**2. Calculate b(l(q)).
50*q**2
Let l(v) = -246*v. Let f(p) = 56866*p. What is f(l(s))?
-13989036*s
Let z(c) = -4*c**2. Let s(g) be the third derivative of -3*g**2 + 0*g + 0 + 0*g**3 - 1/4*g**4. Give s(z(f)).
24*f**2
Let v(h) = 26*h**2. Let f(o) = -68*o + 14. Let y(t) = 41*t - 9. Let j(b) = 5*f(b) + 8*y(b). Calculate v(j(m)).
3744*m**2 + 1248*m + 104
Let h(n) be the second derivative of -n**3/3 + 48*n. Let g(f) be the second derivative of 2*f + 5/3*f**3 + 0 + 0*f**2. Determine h(g(i)).
-20*i
Let y(x) = 65717 - 2*x - 65717 + 2*x - 2*x**2. Let n(z) = -1 + 4 - 1 - 48*z**2. Determine y(n(s)).
-4608*s**4 + 384*s**2 - 8
Let b(n) = -124*n. Let i(w) be the third derivative of 1/24*w**4 + 0*w**3 + 0*w + 30 - w**2. Give i(b(q)).
-124*q
Suppose -13*q + 6018 = -157. Let s(d) = 2*d - q + 475. Let g(m) = -18*m**2. Give g(s(h)).
-72*h**2
Let j(n) = n**2 + n - 1. Let v be j(-6). Let d(f) = v - 29 - f**2. Let u(k) be the third derivative of k**5/6 + 214*k**2. Determine d(u(a)).
-100*a**4
Suppose -2*a - 13 = -51. Suppose 66*n = 80*n - 238. Let t(s) = n*s + a*s + 17*s - 55*s. Let v(r) = -19*r**2. Calculate t(v(o)).
38*o**2
Let s(m) = 3*m**2 + 1139*m. Let a(k) = -691*k. Calculate a(s(n)).
-2073*n**2 - 787049*n | {
"pile_set_name": "DM Mathematics"
} |
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