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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? 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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" }