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12.9? -1633.9 Work out -1377.5 - 1. -1378.5 What is -595460 + 2? -595458 Calculate 0.4 + -18553. -18552.6 Total of -6 and -111.4164. -117.4164 Put together 1 and 9455. 9456 Subtract -0.759 from 0.082. 0.841 Work out -4 - 0.0206. -4.0206 What is the distance between -20 and 2.5178? 22.5178 24 - -0.25159 24.25159 What is the distance between 0.2 and 301.4069? 301.2069 Sum -0.189 and -67987. -67987.189 Total of 0.1136 and -3. -2.8864 What is -3.531 take away -0.0202? -3.5108 What is 1964 + -4? 1960 Total of -7 and 12863. 12856 Calculate -4.9 - -1710. 1705.1 Calculate 1 - 8.1. -7.1 Sum -2862 and 0.05. -2861.95 Work out 7426 + -11. 7415 What is -523 minus -0.27? -522.73 Add 1039 and -41.6. 997.4 Work out -2695 - -0.17. -2694.83 What is -5 take away 1532? -1537 0.00541 - 0.13 -0.12459 Subtract 9 from 14645. 14636 Add 24.4 and 0.4. 24.8 Work out -3 + 81016.5. 81013.5 Calculate -0.1 - 644. -644.1 Sum -0.102 and 52. 51.898 -1 + -1078 -1079 What is 2067 - 4? 2063 What is the distance between 10.1 and 0.56? 9.54 Calculate 0 - 33. -33 24 - 1209 -1185 What is the distance between -1153 and -59? 1094 Total of 249.23 and -0.1. 249.13 Sum 63854 and -10.1. 63843.9 0.3 + -71595 -71594.7 -0.2 - 0.0404 -0.2404 Subtract -2008.3 from -8. 2000.3 What is the distance between 35839 and 25? 35814 Total of -1 and -0.01779. -1.01779 Total of -0.065445 and -0.054. -0.119445 What is the difference between -2 and -0.095877? 1.904123 Calculate -0.082 - 43828. -43828.082 What is -0.6 - 4.01? -4.61 Work out -1.1 + 2083. 2081.9 Calculate -37.03 - 17. -54.03 -0.0302 - 220 -220.0302 Work out -4 - 506323. -506327 -28756 - 5 -28761 Calculate 7.39 + -115. -107.61 Put together 39.9 and -441. -401.1 What is -510 + -494? -1004 Put together 2 and -192. -190 What is -9488 minus -123? -9365 What is 0.2 minus 39349? -39348.8 Put together 22375 and -1. 22374 What is -7.17 + 0.3? -6.87 Put together -1 and 2491. 2490 0.1 - 1754 -1753.9 What is -0.01 - 3.48? -3.49 Work out 123 + -0.014. 122.986 Add -12268 and -22. -12290 What is -2012.6 take away 67? -2079.6 Calculate 41.91 - 0.05. 41.86 What is -2 take away 150088? -150090 Work out -3.109 + 1. -2.109 What is -6 minus -26311.9? 26305.9 What is 0.3187 minus 5? -4.6813 Work out 3 + -73.85. -70.85 What is the distance between 798 and -0.1? 798.1 Add 0.05547 and 238. 238.05547 What is -0.19 minus 1.029? -1.219 Add together 0.3 and -0.43. -0.13 Work out -37195 + 21. -37174 What is 1.2 - -16443? 16444.2 What is 20 plus -232? -212 What is 3 less than 4.3229? 1.3229 Put together 3.7 and 5. 8.7 What is -0.02 plus 2.8715? 2.8515 What is 0.09097 minus 9? -8.90903 Subtract -9 from 11.6354. 20.6354 What is the distance between -0.1 and -423220? 423219.9 Calculate -6809 - -0.2. -6808.8 What is the distance between 0.5 and 262989? 262988.5 395049+4 395053 What is 0.019 take away 5938? -5937.981 Calculate 1 + -15.25063. -14.25063 Calculate -0.3 - 195.2. -195.5 What is 851.9 plus -0.6? 851.3 What is the distance between 7923 and -2? 7925 Total of 64.6 and -0.6. 64 Work out -0.4 + 290. 289.6 Work out -0.31 - -0.1882. -0.1218 Put together 0.0013 and -0.76. -0.7587 Work out -0.5 - -1105.044. 1104.544 What is 0.05 less than -8351? -8351.05 What is -534 less than -7? 527 What is -8249 less than 19? 8268 Total of 2 and -40.7. -38.7 Put together -90296.3 and 0.5. -90295.8 -63 - 153670 -153733 Calculate -8766 + 152. -8614 Total of 6 and 0.074525. 6.074525 Work out -1.00683 + 10.9. 9.89317 Sum 142558 and -0.5. 142557.5 What is -82.05 - 0.5? -82.55 What is the difference between 25.51334 and 4? 21.51334 -2213 - 0 -2213 Calculate -24 + -65. -89 Sum -8 and 21.84. 13.84 What is 23874 take away 0.07? 23873.93 What is -1987 - 0.34? -1987.34 What is -149 - -1137? 988 Sum 0.2 and 3298. 3298.2 Work out 1591 - -5. 1596 What is 3178 less than -464? -3642 What is 0.2 - -2.62? 2.82 What is 0.364 + -0.05773? 0.30627 Subtract 0.2 from -655.379. -655.579 What is the difference between -2 and -99.9? 97.9 0.4 - 0.9355 -0.5355 What is -0.07068 plus -0.1? -0.17068 Sum 17 and -0.06414. 16.93586 Work out -2 + 0.5531. -1.4469 What is 0.02558 minus -1.47? 1.49558 Calculate -846210 - 0. -846210 What is -40 less than -547? -507 What is -7526 + 1.07? -7524.93 Subtract 5.49 from -8.206. -13.696 Add together 1 and 0.7402. 1.7402 Put together -593 and -5. -598 What is -0.07 plus 1.87? 1.8 What is the difference between -88250 and -0.1? 88249.9 272.2 - 0.4 271.8 Put together 405 and -0.2. 404.8 Work out 0.0529 - 3. -2.9471 Put together -0.8599 and 0.23. -0.6299 What is the difference between 0.149947 and 6? 5.850053 Work out 0.7 - -578.7. 579.4 What is the difference between 0.074 and -0.09061? 0.16461 What is 0.58 + -5.1? -4.52 What is -794429 + 5? -794424 -1306 + -4 -1310 What is -5 + -0.0289? -5.0289 Total of 528 and 0.01. 528.01 Subtract 41 from 0.2481. -40.7519 Subtract -0.1 from -150.88. -150.78 What is 0.3 - -55214? 55214.3 What is 905.1 minus -304? 1209.1 0.0224+2.4 2.4224 Total of -2 and -952. -954 -0.3 - 407 -407.3 Work out -8.8 + -2.9. -11.7 Add together -0.5 and -29.3. -29.8 46 - -14 60 Add -124 and -3.356. -127.356 Add 0.0151513 and 0.3. 0.3151513 Put together -2 and -1560. -1562 -118071 - 0.06 -118071.06 Add together 58 and 483. 541 Calculate -404 + 0.314. -403.686 What is the difference between 20.9 and 4? 16.9 Subtract 12 from 702. 690 What is -994 + 1.1? -992.9 Sum 0 and 176655. 176655 What is -0.1 minus 95.78? -95.88 What is -7 take away -669? 662 Add together -0.06 and -0.689. -0.749 What is 6090 - -0.4? 6090.4 Work out 2.64 - 0.18. 2.46 What is -4537704 - -3? -4537701 Add 4327850 and -0.3. 4327849.7 Put together 0.1 and -0.0845534. 0.0154466 5+11217 11222 What is -0.4 plus 0.047144? -0.352856 Calculate -0.12 + -11. -11.12 Subtract -0.7 from -3.912. -3.212 What is the difference between 0.4 and 158446? 158445.6 Work out 49 - -83. 132 What is 609.038 plus 1? 610.038 What is 2 plus 154? 156 Add -0.5 and 1188.7. 1188.2 Sum 0.03353 and -0.2. -0.16647 What is 315663 less than 1? -315662 What is 1 take away 267? -266 Calculate 1.4 - -187. 188.4 What is -185 minus 0? -185 Work out 5 + 0.579. 5.579 What is 0.3 - -0.00917? 0.30917 What is -0.129 + 208.32? 208.191 0.28+-75 -74.72 436503 - 0.01 436502.99 Put together 0.0169 and -1948. -1947.9831 What is -75 + -149? -224 What is 0.06 plus -111.7739? -111.7139 -0.67 - 94.94 -95.61 What is -141 minus -0.0183? -140.9817 Put together -1 and 15058. 15057 7968+-17 7951 Subtract -6 from -23455. -23449 Work out -2.062 - 0.3. -2.362 Put together 0.4 and 798813. 798813.4 Work out 23 - 2469. -2446 What is 0.07 + 1766? 1766.07 Subtract 1136.1 from 0.01. -1136.09 What is -0.2064 minus 14? -14.2064 What is -2789 plus -40? -2829 What is -49 take away 12099? -12148 Calculate 0 - -0.0047. 0.0047 What is -7.1 - 8961? -8968.1 Put together -2304.44 and 2. -2302.44 Work out -0.91067 + -2. -2.91067 What is 0.456 plus 154? 154.456 -34 + -0.09 -34.09 What is -561 - -20? -541 Calculate -22 + -9979. -10001 What is 0.2 minus -0.02841? 0.22841 What is -200 + -25? -225 What is -3.6 take away 21737? -21740.6 Work out -5 - 1402. -1407 What is -1 plus 54? 53 Subtract 27.1 from -1.6. -28.7 Total of -3638 and -3. -3641 Sum 36037 and 0.19. 36037.19 -720797 + -2 -720799 What is the distance between 0 and -1284? 1284 Sum 255 and -2982. -2727 Calculate 165 - -219. 384 -0.2 + -9.23 -9.43 -2730 + -0.19 -2730.19 Calculate -26 - -53489. 53463 Add 125 and -0.004. 124.996 What is 23.1 + -84? -60.9 Subtract 1346 from 0.0737. -1345.9263 Calculate -4 - 782. -786 1.0819+-3.9 -2.8181 Sum 37296 and -0.8. 37295.2 What is -28 less than 212? 240 Sum -14637 and 1. -14636 Add together -0.4 and 16.38. 15.98 Sum -8.35 and 0.07. -8.28 55.18 + -0.4 54.78 Add -4570.99 and -2. -4572.99 What is 5.1 minus 22? -16.9 -237.753 - -0.3 -237.453 Work out 22 + -17. 5 Total of -55612 and 0.7. -55611.3 Put together -1.05 and -0.34. -1.39 What is 0.2271 minus -110? 110.2271 What is -12 minus 9.852? -21.852 What is -4 less than 5044? 5048 Sum 0.423 and 12. 12.423 What is -3 - 0.0061? -3.0061 What is -13466 minus 25? -13491 What is -0.04509954 minus -5? 4.95490046 What is -0.2 minus 238? -238.2 What is the difference between -4.485 and -3316? 3311.515 -0.1 - 9917 -9917.1 Add together -581 and 0.68. -580.32 Calc
{ "pile_set_name": "DM Mathematics" }
- c. Is t a composite number? True Let d = 3593 + 3914. Is d a composite number? False Suppose l - d - 30 = 0, 3*d - 154 = -5*l + 4*d. Suppose -3*b = 5*k + 7 - 42, -4*k - 23 = -b. Let w = l + b. Is w composite? True Suppose 5*j = b + 3393, 3*j - b = 5*j - 1360. Let y = j - 484. Suppose v - y = -4*v - 5*m, 3*m - 3 = 0. Is v prime? False Let a be 3/(-4 - -1) + -7 + 14. Suppose -k - y + 0*y + 7661 = 0, 0 = -4*k + 2*y + 30662. Is (k/(-24))/((-4)/a) a composite number? False Suppose -2*u = -0 + 14. Let z(l) = -l - 5. Let q be z(u). Suppose q*v - 1071 - 283 = 0. Is v prime? True Let y(k) = 52*k**2 - 4*k - 2. Let l be y(-3). Suppose -12*u + 16*u = -628. Let g = l - u. Is g composite? True Suppose -2*p = -59117 - 9689. Is p a prime number? True Let z = 3 + 1. Is 1148 - ((-4)/z + -2 + 0) prime? True Suppose 3 = -4*y + 5*y. Let i be 5 + -3 + 3/y. Suppose -395 = -i*j - 2*j. Is j composite? False Let j = -29598 - -60719. Is j a prime number? True Is ((-1)/1)/((2/(-12878))/1) a prime number? False Suppose 0 = -3*l + 9, -2*t + 3*l + 320 + 213 = 0. Let q = t + -86. Is q a prime number? False Let l = -120 - -48. Let n be l/(-7) - 2/7. Is 1/(-5) - (-252)/n prime? False Let j = -44 - -45. Suppose n + j = 92. Is n a composite number? True Let p = 37 + -37. Is 1*(p + (210 - -1)) a composite number? False Suppose 0 = -2*j - 3*t + 1748 + 11645, 4*j = t + 26751. Is j composite? False Let m(t) = 6594*t - 85. Is m(8) a prime number? True Suppose 3*d = 7*d + 8. Let n be (0 - d)/(2/5). Suppose -n*f + 15 = 3*p - 767, -3*f = 5*p - 466. Is f a composite number? False Let u = 3 - 2. Is -37*((-1)/u)/1 composite? False Let b = 231 + -13. Is b a composite number? True Suppose 8*n - 4*n = 12. Is (n + 175/30)*6 a prime number? True Is (3 - (-5562)/24)*(4 - 0) composite? True Suppose -w + 339 = 2*g, 2*w + 2*w = -5*g + 855. Suppose -f + g = -107. Is f composite? True Let q(i) = 3737*i**2 - 22*i - 35. Is q(-2) a prime number? True Suppose -7*l + 16 = l. Suppose l*s - 942 = -s. Is s prime? False Suppose 8*r - 12*r + 20 = 0. Is 3/(r/(-4190)*-6) a prime number? True Suppose -268610 = -a + f - 4*f, 5*a - 3*f - 1343032 = 0. Is a composite? False Suppose 0 = 2*p + 4*v - 16, 2*p + 3*v = -3*p + 12. Suppose -2*l - 15 + 5 = p. Let y(q) = 20*q**2 + 8*q + 7. Is y(l) prime? True Let k(b) = b**3 + 3*b**2 + 4. Let v be k(-3). Let m(g) = g. Let t be m(v). Suppose -t*r = -4*l + 2008, 3*l = 3*r + 2*r + 1516. Is l a prime number? False Let k(t) = -3*t**2 + 2*t + 21. Let f be k(9). Let n = 338 - f. Is n composite? True Let i = -86 + 88. Suppose 7*g = 3*g + 2*p, g = 5*p + 9. Is 15/(i - (g - -2)) a prime number? False Let q(w) = 351*w**2 + 12*w + 17. Is q(16) a prime number? False Suppose 0 = 2*t - 2*k - 2330, 1527 = 4*t - 3*k - 3133. Is t prime? False Suppose -3*w + 5 = -4*r + 9, -36 = -5*r - 4*w. Suppose 0 = 2*n - r*n + 466. Is n composite? False Suppose -2*j + 5*k = -24, 2*j - j - 6 = k. Suppose -r - r = -j. Is 53 - r*(-2 - -2) composite? False Let q = -38 - -40. Suppose q*b - 269 = -l + 364, -2*l + 1266 = 2*b. Is l prime? False Suppose -4*t = -0*t - 12. Let l be (-2 + 22/8)*4. Suppose l*a = 2*c + 71, 2*c + t*c + 5 = 0. Is a a composite number? False Suppose 0 = -b, -4*b = -k + 5*k - 4. Suppose -5*r = 5*g + 20, -5*r - 24 + 4 = -g. Is 5 - k - 1300/r composite? True Let c(n) = 27*n**3 + 10*n**2 + 8*n + 17. Is c(4) prime? False Suppose -1052194 + 9525 = -53*v. Is v a prime number? False Suppose -2*i - 5*n + 13 = -0*n, 5*i - 5*n - 50 = 0. Let c = i - 5. Suppose 0 = -2*d - 2*d - 2*z + 214, c*d + 4*z = 208. Is d a composite number? True Is 2*4/8*(12740 + -1) a composite number? False Suppose -403 = -q + 154. Is q a prime number? True Suppose q + 1227 = -u, -2*u + q = 1450 + 1001. Is u/(-6) + 8/12 a composite number? True Let n(d) = -5*d**3 + 7*d**2 + 12*d + 9. Let h(p) = -11*p**3 + 15*p**2 + 24*p + 19. Let r(f) = -4*h(f) + 9*n(f). Is r(-5) a composite number? True Suppose 2*g + 4 = 4*g. Suppose 0 = -g*p - 0*p + 6. Suppose 4*w = -2*f + 52, p*f = w - 2*w + 8. Is w a composite number? True Suppose -4*v = 4*z - 371151 + 93799, 10 = 10*z. Is v prime? True Suppose o = 113 + 152. Is o a prime number? False Let d be (-88)/(-20) + -4 - (-6)/(-15). Suppose 2*k + k + 2*y = 580, -5*k - y + 969 = d. Is k a composite number? True Let x(l) = 61*l**2 - 2*l + 28. Is x(5) a composite number? False Suppose 0 = -3*j + 15, -6*m + 16970 = -m - 3*j. Suppose -3*i = -5*g + 2760 + 1520, -4*g - 3*i = -m. Is g a composite number? False Is ((-105)/(-20))/(-21) - (-13210)/8 a prime number? False Let y be (-7822)/(-14) - 6/(-21). Let b = -144 + y. Is b composite? True Let c(h) = -h**3 - 42*h**2 - 37*h - 101. Let r(v) = -v**3 - 28*v**2 - 25*v - 67. Let w(g) = -5*c(g) + 8*r(g). Is w(-9) a prime number? False Let b be (-4)/(-5) - 9/(90/(-52)). Let i = 1 - 1. Suppose -g + 37 + b = i. Is g a prime number? True Let t = 1629 - 758. Is t a prime number? False Let f(u) = 227*u**2 + 7*u - 5. Is f(3) a composite number? True Let n = -1393 - -4782. Is n prime? True Suppose 4*l - 61 - 27 = 0. Suppose j + 2*j = 1965. Suppose 3*o - j = -l. Is o composite? False Let x = 0 - -8. Suppose 0 = -4*n - x, 4*n = -3*q - 0*n + 988. Suppose -4*p + 3*p = 3*w - 97, 2*w = 4*p - q. Is p prime? False Suppose -a = 3*f - 4469 - 33, -1502 = -f + a. Is f a composite number? True Let w(x) = 4*x**2 - 18*x + 4. Let k be w(11). Let s = k - 672. Is s/(8/4)*-1 a prime number? True Let x(n) = -1854*n - 7. Suppose 15*b - 10 = 25*b. Is x(b) prime? True Suppose -5*d = 4*y - 6 - 2, 10 = 4*d + 2*y. Suppose 0 = z - 3*v - 695, 2780 = d*z - 17*v + 13*v. Is z a prime number? False Suppose g + 0*z + 14 = 4*z, 6 = -g + 2*z. Suppose -g = c - 42. Suppose -26 = -2*o + c. Is o a prime number? False Let r(p) = 20*p + 10. Let a be r(6). Let s = 321 - a. Is s a prime number? True Suppose 0 = -5*v + 10, 2*r = -10*v + 9*v + 2944. Is r composite? False Suppose -18*p - 2*p = -60. Is p*11967/18*4/2 composite? False Let r be (8/(-6))/(-1)*(-9)/3. Is r/(-14) + 2624/28 a composite number? True Let l(f) = f**2 + 9*f - 21. Let j be l(-10). Let v(c) = 2*c**2 - 4*c + 5. Is v(j) composite? True Suppose -3*u + 6 = -6*u. Is (8 + 348)/((0 + -1)*u) a composite number? True Suppose -2*x - 3*x = b - 46, 3*b = x - 22. Suppose -u - x = -3*u, 0 = -3*p - u + 53. Let n = 37 + p. Is n a composite number? False Let z = 31685 - 19186. Is z composite? True Suppose 2*f = 5*c - 35, 0*f - 5*f + 16 = -c. Let i(t) = -t**3 + 8*t**2 + 7*t + 12. Let u be i(c). Is 18/27 + (-1064)/u prime? False Let u(m) = -55*m - 20. Let f be u(-19). Let o = -454 + f. Is o prime? True Let w(z) = -66*z**2 + 5*z - 2. Let a(l) = -l**2 - l - 1. Let f(d) = -2*a(d) - w(d). Let n(r) be the first derivative of f(r). Is n(4) a prime number? True Let t be ((-10)/(-3))/(4/6). Suppose g + t = 384. Is g composite? False Suppose 0 = -5*k, 0 = z + z - 5*k - 2. Let r be (-20492)/(-16) - z/(-4). Suppose 5*a - r = -236. Is a prime? False Let t(y) = 8*y + 22. Let s be t(-13). Let k(f) = f**3 + f**2 + 4*f - 9. Let c be k(7). Let p = s + c. Is p a prime number? False Suppose 4*l - 972 - 76 = 0. Let v = -60 + l. Is v a composite number? True Suppose -2*h + 1915 = 3*h. Suppose 4*z = 1701 + h. Is z prime? True Suppose l + 3*l + 3652 = 4*s, -5*l - 2*s = 4544. Let x be (6/15)/((-1)/l). Suppose 3*v - 2935 = -4*r, 3*r - 4268 + x = -4*v. Is v prime? False Let n(r) be the second derivative of 33*r**3/2 + 5*r**2/2 - 11*r. Is n(2) composite? True Suppose 8*j - 3*w + 15476 = 9*j, 15486 = j + w. Is j composite? True Let i(w) = -2*w. Let t be i(-1). Let x be (-4)/(-1)*1/t. Suppose -2*h = -3*q - 218, -263 = -3*h - x*q + 90. Is h a composite number? True Let v = -1246 - -3827. Is v composite? True Let y be (-1 - (-196 - 1)) + 3/1. Suppose 4*s - 1620 - 668 = 0. Let l = s - y. Is l composite? False Let k(t) = -17*t**3 + t**2 - 13*t - 25. Let y(n) = 9*n**3 - n**2 + 7*n + 13. Let d(p) = 6*k(p) + 11*y(p). Is d(-6) a prime number? True Let l(n) = -n**3 + n. Let t be l(1). Let q(b) = b + 1. Let j(y) = y**2 - 2*y - 292. Let p(f) = -j(f) - 3*q(f). Is p(t) prime? False Let g(t) = t**3 + t - 3970. Let n be g(0). Is 1/((-11915)/n - 3) prime? False Suppose -3*s + 2*k + k = 5166, -5*k = 4*s + 6915. Let q = -1112 - s. Is q a composite number? False Suppose 0 = 3*n - 12, -2*d = -6*d - 5*n + 159
{ "pile_set_name": "DM Mathematics" }
values? True Is 1442 at most 1442? True Is -4 bigger than -0.75? False Which is smaller: -0.05 or 12? -0.05 Do -0.8227 and -2/11 have the same value? False Is 2 < 20/7? True Which is bigger: 3 or 39? 39 Which is smaller: -72/61 or -1? -72/61 Which is bigger: 154 or 152? 154 Which is greater: -1 or 1/2837? 1/2837 Is 44/13 smaller than 4? True Is 701 <= 704? True Is 22 less than 13? False Which is greater: 1 or -4/345? 1 Which is smaller: 1451 or 1449? 1449 Is 5/1297 less than or equal to 1? True Is -7263/7 <= -1037? True Which is smaller: -9.561 or -1? -9.561 Which is smaller: 229 or 230? 229 Which is smaller: 0.02 or -6? -6 Which is greater: 48 or 35? 48 Which is bigger: -7/117 or -1? -7/117 Which is smaller: 62 or 76? 62 Are -409 and -408 unequal? True Which is smaller: 16 or 0? 0 Which is smaller: -42 or 180? -42 Is -49 at least as big as -36? False Are 3421 and 0 equal? False Is 22 greater than or equal to 120? False Which is bigger: 117/70 or 2? 2 Is -1641/2 less than 0.3? True Is 5/7356 not equal to -1? True Which is greater: -3728 or -3727? -3727 Which is smaller: 1 or -1/31286? -1/31286 Which is smaller: 5/74 or 1? 5/74 Which is greater: 0 or 67? 67 Are 1/32 and 0.5 unequal? True Which is smaller: 1/2 or 1/4? 1/4 Are 13959 and 13960 non-equal? True Which is smaller: -45 or -576/13? -45 Are -5 and -32/7 unequal? True Is 2/1851 < -3? False Which is greater: 47741 or 47742? 47742 Is 5 > -208/3? True Which is greater: -1 or 2/2575? 2/2575 Is 46 < 45? False Which is bigger: 0.2 or -135? 0.2 Which is smaller: 1.2 or -0.25? -0.25 Which is bigger: 1903 or 1905? 1905 Which is greater: 52 or 53? 53 Which is bigger: 1 or 3/1033? 1 Are 25/4 and 7 nonequal? True Does -13799 = -13799? True Is -1537 at least -1538? True Which is smaller: 1 or -10117? -10117 Which is greater: 520 or 521? 521 Is 256 bigger than 168? True Is 76 smaller than 38? False Is 0.04 at least 512? False Is 3813 at most -0.2? False Is -436 at most -439? False Which is bigger: -13602/5 or -2719? -2719 Is -946 greater than or equal to -941? False Which is greater: 7/671 or 0? 7/671 Which is smaller: 41 or 0? 0 Is -986/5 smaller than -198? False Is -367 greater than 30? False Are -958 and -958 equal? True Is -88/75 >= 0? False Which is smaller: 4 or -89? -89 Which is greater: 30 or 280/9? 280/9 Is -244 < -245? False Which is smaller: 543/29 or 18? 18 Which is greater: 1 or -150? 1 Is 91 less than or equal to 9/7? False Which is greater: 6590 or 6594? 6594 Are 30 and 16 nonequal? True Is 2/37 at least as big as 112? False Which is smaller: -1/241 or 0? -1/241 Are 26 and 43 equal? False Which is greater: -47 or -961/21? -961/21 Is -3 >= 3/1658? False Is -1 greater than -1525.7? True Is -7 >= -10? True Which is smaller: 59 or 5? 5 Which is bigger: 120 or -39? 120 Which is bigger: -3731.8 or 2? 2 Which is smaller: 297 or 12? 12 Which is greater: -1 or -11/325? -11/325 Which is smaller: 1133 or 1134? 1133 Which is greater: -1 or 1/1580? 1/1580 Which is smaller: 6016 or 0? 0 Is -8/3369 bigger than -1? True Is -326 at least as big as -326? True Are -8/91 and 0 nonequal? True Are 1/14 and 397 equal? False Which is greater: 0.0446 or -0.2? 0.0446 Which is greater: 0.1 or 315/2? 315/2 Is -6/13 >= -1? True Is -14/5 less than 3/14? True Is -323 less than or equal to -323? True Is -918 equal to -919? False Do 4941 and 24711/5 have different values? True Which is greater: -5 or 32? 32 Does 2/867 = -1? False Is -4/383 > 0? False Which is greater: -13 or -8? -8 Is 0 less than -653? False Which is greater: 3/524 or -1? 3/524 Is 176 greater than 176? False Is 45 greater than 44? True Which is greater: 250/11 or 22? 250/11 Are -16.3 and 0.8 nonequal? True Is 7/5 > 91? False Is 0.059 equal to -12/23? False Which is bigger: -1 or -2/48509? -2/48509 Which is smaller: 2 or 5988? 2 Which is smaller: 20/457 or -1? -1 Which is bigger: -4/7 or -36? -4/7 Is -24 at most as big as 3? True Is 0 not equal to -1/77? True Is 8 equal to -27? False Is 1.02 bigger than 8? False Which is greater: -3 or 166? 166 Is 0.066 less than or equal to -2/19? False Which is smaller: 792 or 793? 792 Are -11/92 and 0 unequal? True Is 418 greater than or equal to 416? True Is 0.5 less than -91? False Is -7/83 bigger than 1? False Which is greater: -27 or -385? -27 Does 86 = -4? False Is -240 greater than or equal to -244? True Which is bigger: 11 or -25? 11 Are 1011/5 and 201 nonequal? True Which is greater: -0.05 or 10/13? 10/13 Do -12 and -34 have different values? True Which is bigger: -67 or -471/7? -67 Which is greater: 1 or 0.011? 1 Are -51 and -53 non-equal? True Which is smaller: -2.97 or -2/5? -2.97 Are 2/137 and -6 nonequal? True Is -20 smaller than -229/11? False Which is greater: 2/9 or -0.825? 2/9 Which is smaller: 42 or 2? 2 Which is greater: -33 or -30? -30 Which is smaller: 0.6 or -4/9? -4/9 Which is greater: 19251 or 19250? 19251 Is -1/10 smaller than 0? True Does -371 = -361? False Which is greater: 0.9 or -0.58? 0.9 Which is bigger: -66 or -49? -49 Is 5466 bigger than 5465? True Is 0.1 equal to -1756? False Is 558 at most 558? True Which is smaller: -8/5 or 0.5? -8/5 Which is bigger: -903 or -897? -897 Which is smaller: 0.5 or -81? -81 Is -502 at least as big as -509? True Which is bigger: -1/2 or -3170? -1/2 Which is smaller: 533 or 13? 13 Which is smaller: 65 or 25? 25 Which is bigger: 0 or 4/101? 4/101 Which is smaller: -1 or 56/145? -1 Does 263 = 262? False Which is bigger: 0.6 or 291? 291 Is -30 != -177? True Which is smaller: -2/11117 or 1? -2/11117 Are -1/4069 and -1 equal? False Are 96/13 and 7 unequal? True Is 9835 < 9834? False Is -4670 < -4669? True Which is greater: -4069 or -0.1? -0.1 Is 1603 smaller than -10? False Which is smaller: -534 or -535? -535 Which is greater: -1 or 114/467? 114/467 Which is smaller: -3883 or -3882? -3883 Are -28/45 and -2 non-equal? True Which is smaller: -98.72 or 1? -98.72 Is 1/3 less than or equal to 2/27? False Is 1/1863 less than -1? False Which is greater: 310 or 87? 310 Which is bigger: -1 or 2/23689? 2/23689 Do -36 and -34 have different values? True Which is smaller: 867 or 868? 867 Which is smaller: -212 or 1/2? -212 Is -69 < -72? False Which is smaller: -7 or 0? -7 Which is greater: -6/757 or -1? -6/757 Is 623 != 626? True Is 29/12 smaller than 1? False Which is smaller: 19 or 2/7? 2/7 Is 13/1080 at most as big as -1? False Are 1535 and 1535 equal? True Is -31 at most as big as -16? True Which is bigger: 5 or 39/10? 5 Is -34 < -5? True Is 371 greater than 375? False Which is bigger: 8 or -56? 8 Do 6695 and 33468/5 have different values? True Which is bigger: -21/172 or 0? 0 Which is greater: -0.085 or -1/4? -0.085 Is -3/17 bigger than 1? False Which is bigger: 585/4 or -2/5? 585/4 Is 13/398 equal to 1? False Which is smaller: 38 or 41? 38 Do -1 and -5/163 have the same value? False Is -10894/9 > -1211? True Which is greater: 26/15 or 1? 26/15 Are 43 and 85 equal? False Does 5325 = -1? False Is -3662 < -3666? False Is -105 > -15? False Are -1013 and 2 equal? False Is 2/5929 at most as big as 1? True Is 1/20855 at least as big as -1? True Are -2/9 and 8.649 unequal? True Is -11/4 smaller than 2? True Which is smaller: -0.06 or 4/11? -0.06 Is 1580 > 1580? False Which is smaller: -5 or 67? -5 Which is smaller: 364 or 365? 364 Do 0 and -2/453 have the same value? False Is 577 bigger than 584? False Is -8 < -0.26? True Do 0 and 3/1829 have the same value? False Is 1630 at most 1628? False Is 2 greater than 3/92? True Which is greater: 1504.3 or -0.1? 1504.3 Is 354 != 2? True Which is bigger: -2/103 or 1? 1 Is 7/2514 smaller than -1? False Which is smaller: -586 or -605? -605 Is 0.48 >= 2? False Which is smaller: 68/5 or 14? 68/5 Which is greater: 6 or -2? 6 Which is greater: 33793 or 33794? 33794 Which is smaller: -1/57 or 0? -1/57 Which is smaller: 23/73 or 1? 23/73 Is -798 at most -797? True Is -1 at most 3/28958? True Is 2 at most as big as 3/16? False Do 1 and 4/9035 have the same value? False Is 66 < 0.09? False Which is greater: -20 or -22? -20 Which is smaller: 276/55 or 6? 276/55 Is -11 at least -22? True Is -956 equal to -958? False Which is smaller: 1/12 or 0? 0 Is 2 at most 20/9? True Is 459 > 459? False Which is smaller: 14 or -9? -9 Which is smaller: -2
{ "pile_set_name": "DM Mathematics" }
g = 5*u - 27. Let k(a) = -4*a**2 - a + 10 - 10 + u. Determine n*p(r) + 2*k(r). r**2 - 2*r - 2 Let y(u) = -9*u**2 - 2*u - 1. Let k(s) = 44*s**2 + 11*s + 2. Determine 2*k(v) + 11*y(v). -11*v**2 - 7 Let i(h) = 4*h**2 - 13*h - 1. Suppose 0 = -9*s - 5*s + 70. Let r(t) = -3*t**2 + 9*t + 1. What is s*i(p) + 7*r(p)? -p**2 - 2*p + 2 Let u(z) = 11. Let f(w) = -15. Let c(s) = 3*f(s) + 4*u(s). Let q(t) be the first derivative of -t**3 + 6*t - 4. Calculate -6*c(x) - q(x). 3*x**2 Let l(n) = n**3. Let k(f) = 2*f**3 + 2*f**2 - 2. Let s(r) = 39*r + 40. Let u be s(-1). Determine u*l(w) - k(w). -w**3 - 2*w**2 + 2 Let q(y) = 6*y**2 + 8*y + 4. Let t(x) = 2*x**2 + x + 1. Determine -q(r) + 2*t(r). -2*r**2 - 6*r - 2 Let f(l) = -14*l - 7. Let w(x) = -16*x - 7. Determine 4*f(n) - 3*w(n). -8*n - 7 Let w(x) be the second derivative of x**2/2 - 4*x. Let t(b) = b + 9. Let r(v) = t(v) - 6*w(v). Let z(c) = 2*c - 4 + c + 0*c - 4*c. Calculate -4*r(k) - 3*z(k). -k Let p(c) = 3*c**2 + 2*c - 2. Let a be (-33 + 48)*3/(-9). Let q = 2 - 0. Let l(u) = 7*u**2 + 5*u - 5. What is a*p(h) + q*l(h)? -h**2 Let c(i) be the first derivative of -2*i + 6 + 7/2*i**2. Let r(u) = -6*u + 2. Suppose 2*h + 2*h - 20 = 0. Determine h*c(o) + 6*r(o). -o + 2 Let i(k) = 19*k**2 - 3*k + 3. Let g(b) = -1. What is -4*g(f) - i(f)? -19*f**2 + 3*f + 1 Let i(x) = -40*x**3 - 4*x + 5. Let j(a) = 79*a**3 + 7*a - 9. Calculate -7*i(d) - 4*j(d). -36*d**3 + 1 Let s(a) = -9*a**2 - 13*a - 5. Let w(u) = -22*u**2 - 12*u - 8. Let v(m) = 24*m**2 + 10*m + 8. Let d(f) = -4*v(f) - 5*w(f). Determine -5*d(g) - 8*s(g). 2*g**2 + 4*g Suppose 0 = -2*l - 0*l + 60. Let a = 39 - l. Let j(i) = 2*i - 8. Let g(t) = 2*t - 7. Let o(h) = -7*g(h) + 6*j(h). Let k(q) = 5*q - 2. What is a*o(y) + 4*k(y)? 2*y + 1 Let q be (6/5)/(11/(1100/40)). Let x(d) = d**2 + 17*d - 3. Let y(h) = -h**2 - 18*h + 4. Give q*y(s) + 4*x(s). s**2 + 14*s Let z(h) = 173*h + 7. Let c(q) = -342*q - 13. What is -6*c(l) - 11*z(l)? 149*l + 1 Let q(g) = -3 - 9*g**2 - 43*g + 49*g + 4*g**2 - 2*g**2. Let j(v) = -6*v**2 + 5*v - 3. Calculate -6*j(i) + 5*q(i). i**2 + 3 Let o(g) = -g. Let r(h) = 2*h**3 - h**2 + 3*h + 25. Determine 3*o(j) + r(j). 2*j**3 - j**2 + 25 Suppose -68*r + 10 = -70*r. Let p(k) be the second derivative of -k**3/2 - 5*k**2/2 + 5*k. Let b(l) = 3*l + 4. What is r*p(c) - 6*b(c)? -3*c + 1 Let x(g) = -78813*g**2 + 567. Let r(m) = 555*m**2 - 4. Determine 567*r(n) + 4*x(n). -567*n**2 Let a(m) = m + 1. Let o(s) = 103*s + 4. Determine 5*a(w) - o(w). -98*w + 1 Let g(k) = -2*k - 2*k + 5*k + 8 + 2*k. Let b(o) = -8*o - 23. What is -4*b(h) - 11*g(h)? -h + 4 Let u(y) = -y - 3*y**3 + 18 - y**2 + 20 - 37 + 4*y**3. Let w(o) = 7*o**3 - 6*o**2 - 6*o + 11. Give 6*u(f) - w(f). -f**3 - 5 Let v(l) = -2*l**2 + 6*l - 1. Let i(g) = 14*g**2 + 6*g - 6. Let u(b) = -3*b**2 - b + 1. Let q(h) = i(h) + 5*u(h). Calculate -4*q(w) + v(w). 2*w**2 + 2*w + 3 Let n(g) = -2*g**2 + 0 + g + 2*g + 2. Let w(v) = v**3 - v**2 + v + 1. Let q = -9827 - -9829. Give q*w(t) - n(t). 2*t**3 - t Let c(n) be the third derivative of -n**5/60 - n**4/24 - n**3/6 + 73*n**2 - 6. Let f(z) = 19*z**3 + 6*z**2 + 6*z + 6. What is -6*c(b) - f(b)? -19*b**3 Let t(k) = 2*k**2 + 2. Let f(j) = 18*j - 11*j + 1 - 8*j. Suppose -l = -3*l. Suppose 5*h - h + 4 = l. Determine h*t(r) + 2*f(r). -2*r**2 - 2*r Let c(p) = 3*p - 59. Let y(k) = 8*k - 179. What is -11*c(u) + 4*y(u)? -u - 67 Let z(j) = -6*j**2 - 3*j + 4. Suppose 0 = 3*b - 2*b - 8. Let o = b + -12. Let v(a) = 1 - 3*a**2 + 2*a**2 + 3*a - 4*a. Give o*v(c) + z(c). -2*c**2 + c Let a(z) = 560*z**3 - 6*z**2 - 4. Let v(m) = 558*m**3 - 7*m**2 - 5. Give 7*a(b) - 6*v(b). 572*b**3 + 2 Let r(j) be the third derivative of -j**5/60 + j**4/24 + j**3/6 - 357*j**2. Let i(a) = -a**3 + 6*a**2 - 8*a - 1. Give i(y) + 6*r(y). -y**3 - 2*y + 5 Let c(f) = f - 1. Let s(x) = -x**2 - 7*x + 6. Let o(k) = 6*c(k) + s(k). Let q be -2 + 2/(18/45). Let i(g) = -g + 0*g - 2*g**2 - 1 + 0*g. What is q*o(p) - i(p)? -p**2 - 2*p + 1 Let a(n) = 6*n + 8. Let l(c) = 2152 - 719 - 714 + 5*c - 711. Give 3*a(k) - 4*l(k). -2*k - 8 Suppose 3*g = -5*p + 10, p + g + 59 = 61. Let d(l) = 13*l**2 + 4*l - 1. Let x(k) = -4*k**2 - k. What is p*d(r) + 7*x(r)? -2*r**2 + r - 2 Let p(q) = -q. Let j(c) = 1. Let b(k) = 2*k - 7. Let v(y) = b(y) + 6*j(y). Let x = 72 + -54. Suppose -5*n + x = n. What is n*p(a) + v(a)? -a - 1 Let i(a) = -375*a**2 - 30*a + 15. Let b(k) = -2*k**2 + 2*k - 1. What is -15*b(p) - i(p)? 405*p**2 Let l(a) = -a**2 + a - 1. Let n = -44 - -8. Let u = -45 - n. Let c(t) = 5*t**2 - 5*t + 2. Let i(w) = 1. Let y(b) = c(b) + 2*i(b). Determine u*l(z) - 2*y(z). -z**2 + z + 1 Let w(c) = 5*c - 1. Let m(p) = 6*p. Let o(t) = -3*m(t) + 4*w(t). Let r(i) = 2*i + 40. Let q be r(-14). Let v(u) = 5*u - q*u + 11 + 2*u. Give 11*o(z) + 4*v(z). 2*z Let u(l) = -4*l**2 - 7*l + 2. Suppose 4*f + 11 = -5*a - 12, 4*a = -12. Let r(z) = 2*z**2 + 3*z - 1. Calculate f*u(c) - 5*r(c). -2*c**2 - c + 1 Let s(j) = 33*j - 67*j + 0 - 1 + 37*j. Let n(q) = -17*q + 10. Let w(v) = -v + 1. Let t(m) = -n(m) + 5*w(m). Determine -9*s(u) + 2*t(u). -3*u - 1 Let n(v) = 3. Let k(r) be the third derivative of -r**4/24 - r**3 - 35*r**2 - 2. Calculate 2*k(x) + 5*n(x). -2*x + 3 Suppose 5*d - 59 = a - 40, 3*a - 38 = -4*d. Let s(n) = -7*n + 2. Let x(v) = 8*v - 2. Determine a*s(u) + 5*x(u). -2*u + 2 Let d(y) = -9*y**3 - 5*y**2 - 2*y - 4. Let c(n) = -312*n**3 + n + 1 + n**2 + 630*n**3 - 317*n**3. Determine 4*c(v) + d(v). -5*v**3 - v**2 + 2*v Let w(r) be the first derivative of r**4/4 + r**3/3 - r**2/2 - r + 6. Let h(j) = -5*j**3 - 4*j**2 + 4*j + 4. What is 5*h(p) + 20*w(p)? -5*p**3 Let u(g) = 2*g**2 - 4*g**2 + 3*g**2 - g**3. Let m = 42 - 41. Let j = m - 0. Let b(l) = l**2 + 1. Calculate j*b(f) + u(f). -f**3 + 2*f**2 + 1 Let v(c) = 16*c - 28. Let k(f) = 9*f - 13. Let w(l) = -5*k(l) + 3*v(l). Let m(y) = -y + 9. Determine -5*m(d) - 2*w(d). -d - 7 Let w(y) = 1. Let l(p) = -9*p**3 - 12*p**2 - 1. Give -l(m) - w(m). 9*m**3 + 12*m**2 Let p(v) = -236*v + 48. Let q(j) = -4. Calculate p(u) + 12*q(u). -236*u Let v(l) = -384*l - 2. Let k(h) = 385*h + 3. What is -3*k(r) - 4*v(r)? 381*r - 1 Let x(q) = -35*q - 13. Let t(v) = -35*v - 15. Determine -5*t(b) + 6*x(b). -35*b - 3 Let d(a) = -423 - 8*a + 842 - 407. Let v(o) be the second derivative of o**3/6 - o**2/2 + 2*o. What is d(w) + 12*v(w)? 4*w Let j(p) = 3*p. Let d(q) = 75848*q - 1 - 75844*q + 1. Determine -4*d(m) + 4*j(m). -4*m Let q(g) = -3*g**3 + 3*g**2. Let z(j) = -2*j**3 + 2*j**2. Let y(p) = p - 16. Let k be y(13). Let v = k + -2. Let l = v + 9. Give l*z(x) - 3*q(x). x**3 - x**2 Let u(b) = -9*b**2 - 14*b + 6. Let g(a) = 10*a**2 + 12*a - 5. Determine 5*g(n) + 4*u(n). 14*n**2 + 4*n - 1 Let u(x) = 19*x**2 - 22*x - 258. Let h(y) = -7*y**2 + 8*y + 86. Give 8*h(d) + 3*u(d). d**2 - 2*d - 86 Let k(u) = u + 3. Let m(z) = 40. Calculate 2*k(v) - m(v). 2*v - 34 Let f(c) = 2*c**3 + 11*c**2 - 6*c + 6. Let t(a) = 6*a - 15. Let h be t(3). Let w(q) = 21*q**2 - 11*q + 3 - 2*q**3 + 8 - h*q**3 + 9*q**3. Give 11*f(u) - 6*w(u). -2*u**3 - 5*u**2 Let b(k) = 2*k**2 + 13*k - 7. Suppose -20 = 4*a, -17 = -4*t + 3*a - 2*a. Let j(i) = i**2 + 6*i - 3. What is t*b(q) - 7*j(q)? -q**2 - 3*q Let s(h) = h - 1. Let m(y) = y**2 + y + 12. Suppose -4*w + 2 = 3*j, -8*j + 7*j = -2. Give w*m(x) + 2*s(x). -x**2 + x - 14 Let r(i) = -1 + 20 - 9 - 10 - i. Let o(t) = 7*t + 3. Calculate o(h) + 5*r(h). 2*h + 3 Let u(i) = -5*i - 1. Let b(c) = 31*c. Let d(y) = b(y) + 5*u(y). Let t(l) = 1. Calculate d(x) + 6*t(x). 6*x + 1 Suppose 44 = 10*d + 14. Let c(a) = 1. Let z(l) = l + 3. Let x(t) = -t - 15. Let y be x(-7). What is d*z(h) + y*c(h)? 3*h + 1 Let i(r) = -2*r + 19. Let q be i(7). Let z(x) = x + 4. Let w(v) = -3*v - 9. Determine q*z(a) + 2*w(a). -a + 2 Suppose 54*x = 33*x - 147. Let d(u) = -22*u. Let r(q) = 7*q. What is x*r(y) - 2*d(y)? -5*y Suppose -4*o - 15 = -5*m, -10*m = -o - 13*m - 8. Let h(k) = -25*k + 4. Let f(q) = -17*q + 3. Calculate o*h(l) + 7*f(l). 6*l + 1 Let i(l) = 6*l**3 - 8*l**2 - 10. Let u(b) = 5*b**3 - 8*b**2 - 9. Let d(m) = -m**2. Let p(x) = d(x) - u(x). What is -6*i(v) - 7*p(v)? -v**3 - v**2 - 3 Let y(l) = l - 2. Let u(a) = 7*a - 27. What is 3*u(t) - 24*y(t)? -3*t - 33 Let n(o) = 5*o - 237. Let i(a) = 26*a - 1178. What is 2*i(c) - 11*n(c)? -3*c + 251 Let i(s) = 7325*s**2 + 7
{ "pile_set_name": "DM Mathematics" }
2*z. Let y be q(2). Let f = y + -51. What is the highest common divisor of 45 and f? 15 Suppose -4*g + 5*k + 7 = 0, -4*g + 2*k = -g - 7. What is the highest common factor of g and 6? 3 Suppose -10*d + 252 = 26*d. Suppose -u + 3 = -2. Suppose -3*p = 5*y - 69, -p = -5*p - u*y + 97. Calculate the greatest common divisor of p and d. 7 Let f(l) = -2*l + 2. Let q be f(5). Let v be (-4 - -1) + (-3 - q). Calculate the highest common factor of v and 2. 2 Suppose 2*k - 11 = 23. Let c be 1/(-1) + 1 - -51. What is the highest common factor of k and c? 17 Let v(w) = -12*w. Let q be v(-3). Let d = -203 + 9. Let m = 284 + d. What is the highest common factor of q and m? 18 Let g(f) = -5*f - 1. Let n be g(-2). Suppose -4*u = -4, -a - 4*u - 1 = -0*a. Let o = a + 6. What is the greatest common divisor of o and n? 1 Let u be ((-10)/10)/((-2)/(-4)). Let c = 5 - u. Calculate the greatest common divisor of 56 and c. 7 Suppose 5*a = -2*d + 54, 4*a + d - 63 = 6*d. Let q be (-762)/(-8) - (-96)/128. Calculate the greatest common factor of q and a. 12 Suppose l - 7 = 3*r, 3*r = -4*l - r + 76. Suppose s - l = -0. Let j(m) = -m + 16. Let z be j(0). What is the highest common divisor of s and z? 16 Suppose g - 15 = -g - 5*f, g = -f. Let v be g/((-3)/18 - 0). Calculate the greatest common divisor of v and 45. 15 Let x(c) = 4*c + 9. Let i be x(6). Calculate the greatest common factor of i and 165. 33 Let g(t) be the first derivative of t**3/3 + 3*t**2/2 - 2. Let j be g(-4). Let s be (j + -54)*1/(-1). Calculate the greatest common divisor of s and 10. 10 Let m = -28 - -36. Calculate the greatest common factor of m and 40. 8 Let q(w) = -w + 15. Let i be q(4). What is the highest common factor of i and 77? 11 Suppose 4 + 5 = h. Let j(r) = -r**3 + 11*r**2 + 7*r - 14. Let b be j(11). Calculate the highest common factor of h and b. 9 Suppose g = -6 - 2. Let j = g + 13. Let n be 50 + -9 + (0 - -4). Calculate the highest common factor of n and j. 5 Let o be (-2)/(-16)*10*4. Suppose 25 = -o*c, -3*c - 41 = -0*v - v. Calculate the greatest common factor of 13 and v. 13 Suppose 4*x = -0*x + 32. Suppose 0 = 3*r - 4*r + 4. Suppose r*s - 2*c = 218, s + 4*s + 5*c - 295 = 0. What is the highest common divisor of x and s? 8 Let m be (-36)/14*182/(-39). What is the highest common factor of 20 and m? 4 Let a(j) = 47*j**2 + j + 2. Let w be a(-1). Let l be 50/6 - 3/9. Let c = 14 - l. What is the highest common factor of c and w? 6 Let v be 1/(7/3 - 2). Suppose f + 3*f - h = 177, v*h = 3*f - 126. What is the greatest common divisor of 9 and f? 9 Suppose 13 = 3*x - 2*w - 77, 4*x = w + 120. Calculate the greatest common factor of 60 and x. 30 Let l be 1 + (-4 - (-1 + -178)). What is the greatest common factor of 22 and l? 22 Let i = -15 + 35. What is the greatest common factor of i and 4? 4 Let l(v) = -v**3 - v + 8. Let f be l(0). Suppose 0 = 3*k - 58 - f. Calculate the greatest common divisor of 11 and k. 11 Let s be (0*2/(-4))/1. Suppose 3*d = -s*d + 108. Let u = 31 - 27. Calculate the greatest common divisor of u and d. 4 Suppose 0 = -5*g + 37 + 263. What is the highest common factor of 210 and g? 30 Let m = -22 + 61. Suppose x = 4 + 9. What is the highest common divisor of m and x? 13 Suppose 68 = 5*j - s, -j - 5*s = 3*j - 37. Suppose 0 = 5*n - 3*x - 579, n - 2*n + 109 = -4*x. What is the highest common factor of n and j? 13 Let b be (4/(-6))/((5/(-15))/1). Let m be (-2)/4*-4*1. What is the greatest common factor of m and b? 2 Let j = 1 + 4. Suppose j*c - 2*a = 80, -9 = -c - 3*a + 7. Suppose -5*g - 5*x + 50 = 0, -5*x = -4*g + c + 24. Calculate the highest common factor of g and 2. 2 Suppose 2*l - l - 54 = 0. Suppose u + 0*u - l = -5*k, 0 = 2*u + 3*k - 101. What is the greatest common factor of u and 7? 7 Let o(z) = 2*z**2 - 5*z - 1. Suppose -19*s - 16 = -23*s. Let f be o(s). What is the greatest common divisor of 44 and f? 11 Let w be (6/4)/((-2)/(-4)). Suppose w*j + j - 44 = 0. Let n be (-1)/(-1*(-2)/(-110)). What is the greatest common factor of j and n? 11 Suppose -2*z = 2 - 6. Suppose 5*h + z*g - 181 + 60 = 0, -135 = -5*h + 5*g. Suppose 12*c + 15 = 15*c. Calculate the greatest common divisor of h and c. 5 Let s(y) = y + 21. Let j be s(-7). Suppose -k = -5*g - 447, 5*k = 3*k - 6. Let d = 132 + g. What is the highest common divisor of d and j? 14 Let n be ((-24)/15)/((-28)/(-10) - 3). Calculate the highest common factor of 20 and n. 4 Let i = -49 + 268. Suppose 2*h + 5*x = 309, -x - i = -4*h + 366. Let s = h - 77. What is the greatest common factor of 28 and s? 14 Suppose 5*z + 5*f - 95 = 0, 0*f = 3*z - 4*f - 92. Let r(c) = c**2 - 3*c. Let w be r(4). What is the greatest common divisor of w and z? 4 Let b be (-1)/(2/(-14)) - -2. What is the highest common factor of b and 18? 9 Let b be 7/(-28) + (-281)/(-4). Calculate the highest common factor of b and 14. 14 Let k = 5 + 3. Let f be -2*12*((-40)/(-12))/(-10). Calculate the greatest common factor of f and k. 8 Let q = 46 + -40. What is the highest common factor of q and 48? 6 Suppose 3*y + 3 - 30 = 0. Suppose 5*q - 86 - 4 = 0. What is the greatest common factor of y and q? 9 Suppose b - 227 = -86. Calculate the highest common factor of 94 and b. 47 Let a(s) = s**3 + 12*s**2 + 9*s + 50. Let j be a(-11). Suppose n = 5*n - 96. Calculate the greatest common factor of j and n. 24 Let n be -21*(8/(-14) - (-6)/(-21)). Calculate the highest common factor of 162 and n. 18 Let x(p) = -p**2 - 8*p + 7. Let r be x(-5). What is the greatest common factor of 2 and r? 2 Let a = 120 - 59. Let w = a - 43. Let y = w + -13. Calculate the greatest common factor of y and 5. 5 Suppose -5*f - 20 = 0, -5*n + 202 + 85 = -3*f. Let h = -15 - -8. Let c = h + n. What is the highest common divisor of c and 6? 6 Let b(o) = 6 + 5*o + 5*o - 7*o + 4*o. Let z be b(6). Let q = 90 - z. Calculate the highest common divisor of q and 6. 6 Suppose -6*d + 0*d = -90. Let j = d + 1. What is the highest common divisor of j and 176? 16 Let n = -77 - -74. Let f(q) = 4 - 2*q + 0*q + 0. Let z be f(n). What is the greatest common divisor of z and 50? 10 Let a(b) = -3*b**2 - b + 10. Let r(l) = 8*l**2 + 4*l - 29. Let x(w) = -17*a(w) - 6*r(w). Let o be x(4). Calculate the greatest common divisor of 60 and o. 12 Let z(i) = -8*i - 1. Let t be z(-1). What is the highest common divisor of 28 and t? 7 Suppose 14*u = -0*u + 252. Suppose -6*c - 5 = -c. Let j be (-35 + c)*(-3)/2. Calculate the greatest common divisor of j and u. 18 Let c be (-1)/3*(-66 - 0). Calculate the greatest common divisor of c and 55. 11 Let i = -3 - 10. Let t = i - -17. Calculate the highest common divisor of t and 20. 4 Suppose -4*d = -19 - 9. What is the greatest common factor of 21 and d? 7 Suppose -6*g + 3*g + 5*a - 13 = 0, -30 = -5*g - 2*a. Let b(p) = p**3 - 5*p**2 + 5. Let j be b(5). Let v = j - g. What is the greatest common divisor of 8 and v? 1 Let n(f) = 2*f**2 + f. Let d be n(1). Suppose -w - 2*j + 123 = d, 0 = 4*w - 2*j - 450. Calculate the highest common factor of w and 19. 19 Suppose 5*g + 6*z = 5*z + 240, -4*g + 192 = z. Let m = 3 - 1. Let d be -12*1*(1 - m). Calculate the greatest common factor of d and g. 12 Suppose 5*f + 125 = 5*t, -4*t - f + 97 = -4*f. What is the highest common divisor of 33 and t? 11 Let l(h) = -6*h - 34. Let z be l(-6). Calculate the highest common divisor of 2 and z. 2 Suppose 2*d + 5*h - 97 = 0, -98 = -d - 2*d + 2*h. Calculate the greatest common divisor of d and 18. 18 Let n(d) = d**3 - 5*d**2 - 18*d. Let t be n(8). Calculate the greatest common divisor of 12 and t. 12 Suppose 0 = x + x - 64. Suppose 4*k - 160 = 2*k. What is the highest common divisor of k and x? 16 Suppose 3*f - 3*q + 2*q - 81 = 0, -f + 14 = 4*q. Suppose -4*m + 22 = 3*s, -6 = 4*s + 3*m - f. Calculate the greatest common factor of s and 22. 2 Let x be 178/9 + (-26)/(-117). Calculate the highest common factor of x and 60. 20 Suppose 3*u + 27 = 3*p, p = -4*p + 4*u + 46. What is the highest common factor of p and 110? 10 Let a = 1 - -1. Suppose -5*t = -4*o + 81, -a*o = -2*t - 30 - 8. Calculate the greatest common factor of o and 2. 2 Let k(q) = -2*q - 3. Let z(o) = -o**2 + 2*o - 2. Let n be z(3). Let f be k(n). Calculate the highest common factor of f and 49. 7 Suppose n - 3 = -0*n, 5*k - 4*n = -12. Suppose k = 5*i - 6 +
{ "pile_set_name": "DM Mathematics" }
alculate prob of picking 3 f when three letters picked without replacement from fffzzzffffffzzffffff. 91/228 Two letters picked without replacement from hzzmzhmh. What is prob of picking 1 h and 1 m? 3/14 What is prob of picking 2 b and 1 m when three letters picked without replacement from {b: 2, m: 1, t: 1}? 1/4 Four letters picked without replacement from ssssumubs. What is prob of picking 2 u, 1 b, and 1 m? 1/126 Two letters picked without replacement from rkhukkhkhkruh. What is prob of picking 1 h and 1 k? 10/39 What is prob of picking 3 i when three letters picked without replacement from iiiiiiiii? 1 Calculate prob of picking 1 t, 1 z, and 1 k when three letters picked without replacement from okltz. 1/10 Three letters picked without replacement from {y: 5, c: 2, s: 1, h: 4, a: 2}. Give prob of picking 1 a, 1 y, and 1 h. 10/91 Four letters picked without replacement from ejekjelezjjekkeejeke. What is prob of picking 1 l and 3 k? 4/4845 Three letters picked without replacement from bebsoebhekko. Give prob of picking 2 o and 1 s. 1/220 Four letters picked without replacement from {t: 4, s: 2, z: 3, l: 2, f: 3, j: 2}. Give prob of picking 2 t, 1 z, and 1 l. 9/455 Four letters picked without replacement from {q: 11, z: 3, e: 1}. What is prob of picking 1 e, 1 q, and 2 z? 11/455 Four letters picked without replacement from ooooo. Give prob of picking 4 o. 1 What is prob of picking 2 i, 1 l, and 1 n when four letters picked without replacement from {i: 2, n: 1, l: 4}? 4/35 What is prob of picking 1 w and 2 u when three letters picked without replacement from {b: 1, u: 7, n: 4, w: 1, m: 4, c: 3}? 7/380 What is prob of picking 1 v and 1 j when two letters picked without replacement from jfjbbfjrbbfjjrfvbfrr? 1/38 What is prob of picking 1 s and 1 z when two letters picked without replacement from tbsbssssszpszsbss? 5/34 Two letters picked without replacement from {z: 3, t: 10, i: 2, b: 3}. What is prob of picking 2 z? 1/51 Calculate prob of picking 1 l and 2 y when three letters picked without replacement from aaaaalyaayyaaaaaayay. 1/114 Calculate prob of picking 1 r and 3 p when four letters picked without replacement from mmprcpmpmr. 1/105 Three letters picked without replacement from ljlljlljljljl. Give prob of picking 3 l. 28/143 Two letters picked without replacement from yeuhyhld. What is prob of picking 1 h and 1 d? 1/14 Three letters picked without replacement from {h: 6, q: 13}. What is prob of picking 2 q and 1 h? 156/323 Four letters picked without replacement from {q: 9, k: 11}. What is prob of picking 2 k and 2 q? 132/323 Calculate prob of picking 1 h and 1 o when two letters picked without replacement from {g: 1, r: 1, o: 4, h: 2, k: 2, q: 7}. 1/17 What is prob of picking 1 r, 2 e, and 1 i when four letters picked without replacement from wireeif? 2/35 Two letters picked without replacement from {o: 3, l: 1, x: 5, j: 3}. Give prob of picking 1 j and 1 x. 5/22 Calculate prob of picking 3 a and 1 w when four letters picked without replacement from awwwwaaaaaaaawwaawa. 385/969 Calculate prob of picking 1 q, 1 x, and 1 h when three letters picked without replacement from qqhxm. 1/5 Three letters picked without replacement from iqaqyiyyayyiqiq. What is prob of picking 1 i and 2 y? 8/91 Three letters picked without replacement from {q: 1, o: 2, p: 6, g: 1, b: 2, s: 3}. Give prob of picking 3 p. 4/91 Calculate prob of picking 1 a, 1 d, and 1 q when three letters picked without replacement from aaaqqaqqqdaaaaaaaq. 11/136 Calculate prob of picking 3 z and 1 h when four letters picked without replacement from {t: 4, h: 6, z: 2}. 0 Three letters picked without replacement from {n: 4, m: 6, o: 5}. What is prob of picking 3 n? 4/455 Calculate prob of picking 1 l and 2 s when three letters picked without replacement from {s: 2, l: 2, a: 1, c: 8, o: 2}. 2/455 Calculate prob of picking 2 i when two letters picked without replacement from eeiieiieeieieiieeei. 4/19 Calculate prob of picking 4 j when four letters picked without replacement from jojooojjjjjojj. 18/143 Three letters picked without replacement from dosdsddsosod. What is prob of picking 2 s and 1 d? 3/22 What is prob of picking 1 j, 1 z, and 1 m when three letters picked without replacement from {m: 10, j: 9, z: 1}? 3/38 What is prob of picking 1 n and 1 c when two letters picked without replacement from {c: 2, r: 1, z: 1, n: 2, x: 1, d: 1}? 1/7 Four letters picked without replacement from ysdedykyeedddyi. What is prob of picking 1 y, 1 d, 1 s, and 1 k? 4/273 Two letters picked without replacement from vxxcxxxcxcgvcv. Give prob of picking 1 c and 1 v. 12/91 Two letters picked without replacement from {o: 1, c: 3, k: 5, u: 5, g: 1}. Give prob of picking 1 u and 1 g. 1/21 What is prob of picking 3 d when three letters picked without replacement from {l: 1, n: 2, d: 5, i: 1, k: 6, u: 1}? 1/56 Three letters picked without replacement from tayvnvnntyyyntnt. Give prob of picking 1 v, 1 n, and 1 t. 1/14 Two letters picked without replacement from bgkgpk. Give prob of picking 1 p and 1 g. 2/15 Two letters picked without replacement from yyftpflfsyp. What is prob of picking 1 y and 1 t? 3/55 Four letters picked without replacement from tthuttttchhtthhht. What is prob of picking 2 h, 1 t, and 1 u? 27/476 Four letters picked without replacement from {p: 5, a: 11}. What is prob of picking 3 p and 1 a? 11/182 Two letters picked without replacement from {o: 9, y: 5}. Give prob of picking 2 o. 36/91 Three letters picked without replacement from psspssjps. Give prob of picking 2 s and 1 j. 5/42 Two letters picked without replacement from ato. Give prob of picking 2 o. 0 What is prob of picking 1 c, 1 f, and 1 j when three letters picked without replacement from jcchfnf? 4/35 Calculate prob of picking 1 o and 1 u when two letters picked without replacement from uorrrrour. 1/9 What is prob of picking 1 c, 1 h, and 1 o when three letters picked without replacement from {o: 3, h: 1, c: 3}? 9/35 Calculate prob of picking 2 z when two letters picked without replacement from zziiitiit. 1/36 What is prob of picking 2 h and 2 o when four letters picked without replacement from {h: 1, q: 2, o: 1}? 0 What is prob of picking 1 n and 1 z when two letters picked without replacement from {o: 3, r: 6, n: 1, e: 1, z: 4}? 4/105 Calculate prob of picking 1 v and 1 t when two letters picked without replacement from {v: 2, j: 1, h: 7, x: 3, t: 1}. 2/91 What is prob of picking 2 m when two letters picked without replacement from nmxmxxxnx? 1/36 Three letters picked without replacement from icscbcnisbnbinfnbscs. Give prob of picking 3 i. 1/1140 Four letters picked without replacement from {w: 3, y: 2, v: 7, b: 1, r: 7}. Give prob of picking 1 y and 3 v. 14/969 What is prob of picking 1 k and 3 z when four letters picked without replacement from kzzzzzk? 4/7 Two letters picked without replacement from fiffffififff. Give prob of picking 2 f. 6/11 Calculate prob of picking 1 k, 1 u, and 1 j when three letters picked without replacement from jsjku. 1/5 Calculate prob of picking 1 z and 1 j when two letters picked without replacement from jzjzjtw. 2/7 What is prob of picking 1 i, 1 w, and 1 f when three letters picked without replacement from ifwwiaawwai? 4/55 Calculate prob of picking 2 f when two letters picked without replacement from feefhfeff. 5/18 Calculate prob of picking 1 s and 2 u when three letters picked without replacement from {u: 7, s: 12}. 84/323 Three letters picked without replacement from yyssjyhysysjysj. Give prob of picking 2 y and 1 h. 3/91 What is prob of picking 2 r and 1 x when three letters picked without replacement from {b: 2, r: 2, k: 2, o: 3, x: 4}? 2/143 Three letters picked without replacement from ghmfjfmw. What is prob of picking 1 h, 1 g, and 1 m? 1/28 What is prob of picking 1 r, 2 y, and 1 j when four letters picked without replacement from {w: 1, e: 4, r: 1, j: 3, k: 3, y: 5}? 3/238 Two letters picked without replacement from qzqkkzlkzzkoqkzqkql. What is prob of picking 2 z? 10/171 What is prob of picking 1 w and 1 k when two letters picked without replacement from vwkvwd? 2/15 What is prob of picking 1 b and 2 m when three letters picked without replacement from xxxttwxxbmxtbbtxmtt? 1/3
{ "pile_set_name": "DM Mathematics" }
t(5) + sqrt(10)/sqrt(2))*-5 - -4*(1 + sqrt(20) + 4)))**2. 1764 Simplify -2*((sqrt(408) - -5*sqrt(408)*3)/sqrt(8))/(sqrt(9)/sqrt(48) - sqrt(3) - (sqrt(48)/sqrt(4) + sqrt(12))). 128*sqrt(17)/19 Simplify (((sqrt(17) - (1 + (sqrt(17) - (sqrt(17) + 1)))) + sqrt(153)*-5)*4 + (sqrt(119) + (sqrt(119) - (sqrt(119)*2 - sqrt(119))*5))/(4*sqrt(7)*-1))**2. 830297/16 Simplify (sqrt(104) - -1*-3*sqrt(104))/(sqrt(288)*6) - (sqrt(39) - (sqrt(3159) - -1*sqrt(3159) - sqrt(3159)))/(sqrt(48)*-3). -13*sqrt(13)/18 Simplify 4 + (sqrt(26)/(sqrt(2) - 2*sqrt(50)) - -6*(-5*(sqrt(13) + -5*sqrt(13)))**2). -sqrt(13)/9 + 31204 Simplify (-3*(sqrt(1188) + (sqrt(1188) - 5*sqrt(1188)) + sqrt(1188) - sqrt(1188))*4)/((sqrt(336) - sqrt(21) - sqrt(21))/sqrt(7) + 6*sqrt(48) + sqrt(3)). 8*sqrt(11) Simplify ((3*4*sqrt(756)*2)/((sqrt(1452)*-1 - sqrt(12)) + sqrt(12) + sqrt(12) + sqrt(72)/sqrt(54)) + -2)**2 + 0. 864*sqrt(7)/29 + 329956/841 Simplify (-5*((sqrt(136) - (sqrt(136) - (sqrt(136)*-1 - sqrt(136))*-6)) + (sqrt(136) + sqrt(136)*1)*-1)/(4*(sqrt(8) + sqrt(48)/(sqrt(6)*2)))*5)**2. 265625/9 Simplify -3*(((sqrt(125) - ((sqrt(125) - (1 + sqrt(125))) + 3)) + sqrt(125) + sqrt(125) - -2*(-2*sqrt(125) + sqrt(125))) + -5)**2 + 2. -520 + 210*sqrt(5) Simplify (sqrt(13) + (sqrt(13) - -6*(-2 + sqrt(13) + sqrt(13))) + -1*sqrt(13) + 0 + sqrt(104)/sqrt(8) + -3 + sqrt(1300)*1)**2 + 4. -720*sqrt(13) + 7717 Simplify 2 + (3*(-1 + sqrt(2))**2 - (sqrt(32) + -1)) - (2*sqrt(108))/((sqrt(96)*-2 - sqrt(96)) + sqrt(6)). -104*sqrt(2)/11 + 12 Simplify (6*(3 + sqrt(475) + sqrt(475)*-3))**2 + 3*6*(sqrt(1539) - (1 + sqrt(1539))) + 4. -2160*sqrt(19) + 68710 Simplify (4*(0 + (sqrt(68) + 1)*5 + (sqrt(153) + 0 + sqrt(153) + 2 - 2*(sqrt(153)*2 + sqrt(153)))))**2*4. -1792*sqrt(17) + 7488 Simplify 6*sqrt(20)/(sqrt(12)/sqrt(3)) - (sqrt(1000)*-1 + sqrt(1000))/sqrt(8) - (3*(sqrt(5) + 4 + -1 + sqrt(5)) - (-3 + sqrt(5)*-2*2)). -12 - 4*sqrt(5) Simplify (sqrt(280)/sqrt(180))/((sqrt(288)*1 + sqrt(288) - sqrt(288)) + sqrt(8)) - (4*sqrt(567) + sqrt(567) + (1*sqrt(700))**2). -700 - 1889*sqrt(7)/42 Simplify 1*(sqrt(3) + ((-2*sqrt(3)*4 - sqrt(3)) + sqrt(3))**2)*3 - (sqrt(144)/sqrt(54))/(sqrt(968)*-1). 100*sqrt(3)/33 + 576 Simplify ((1*(2*sqrt(88) - sqrt(88)) - sqrt(88) - 5*2*sqrt(88))*-5)/((sqrt(120)/(sqrt(5) + sqrt(45)))/(sqrt(30)/(sqrt(10)*-2 - sqrt(10)))). -200*sqrt(11)/3 Simplify (2*sqrt(2560)*-3*5)/((sqrt(128) - sqrt(8))*2 + (sqrt(288) - sqrt(8))*2) + -1. -15*sqrt(5) - 1 Simplify (((-2*sqrt(2057) - sqrt(2057))*-3 + 4 - ((sqrt(2057) + -1)*5 - sqrt(2057)*-1*-2))*1)**2. 1188*sqrt(17) + 74133 Simplify -5*(5 + (sqrt(357)/(sqrt(28)*4 + sqrt(7)))/((sqrt(144)/(sqrt(8) + sqrt(32)/sqrt(4)))/sqrt(6))). -25 - 10*sqrt(17)/9 Simplify ((sqrt(110) + 1*-2*sqrt(110) - sqrt(110)) + -3*sqrt(110)*2)/(6*((sqrt(490)*-2 - sqrt(490))*-5 + sqrt(490) + sqrt(490))). -4*sqrt(11)/357 Simplify (6*-2*5*(sqrt(252) - (sqrt(252) + -1 - sqrt(252)))*-4*-5)**2 + 5. 17280000*sqrt(7) + 364320005 Simplify (2 + 1*sqrt(245) + -3*sqrt(245)*-6 + sqrt(245) + (sqrt(245) - -2*sqrt(245)) + 1 + -1 + -2*sqrt(245) + sqrt(245))**2. 616*sqrt(5) + 118584 Simplify ((-5*(sqrt(504) - sqrt(56)))/(sqrt(8) + sqrt(16)/sqrt(18)))**2 - (sqrt(1008)*-2 + sqrt(7) + (sqrt(567))**2*4). -7497/4 + 23*sqrt(7) Simplify ((0 + sqrt(147) + 2)*2 - (1*sqrt(2430) - sqrt(2430))/(-3*sqrt(90)))**2. 112*sqrt(3) + 604 Simplify (-3*sqrt(84)*5*-6*-3)/((1*sqrt(84)*2 - sqrt(84))/(sqrt(21)/sqrt(3)*-3)). 810*sqrt(7) Simplify (3*((sqrt(68)*-1*5 - sqrt(68)) + (sqrt(68) - (sqrt(68) - (sqrt(68) - ((sqrt(68) - -1*sqrt(68)) + sqrt(68))*1)))))/(4*(sqrt(196) - -5*sqrt(196)*3)). -3*sqrt(17)/56 Simplify (((sqrt(180)*-1*2)/(sqrt(9) + (sqrt(9) - sqrt(1089)*2)))/(sqrt(10)*-5*5 + (sqrt(90)/(sqrt(72)/sqrt(8) + sqrt(9)) - sqrt(10) - sqrt(10))))**2. 2/70225 Simplify (sqrt(1584) + -3 + sqrt(1584) + sqrt(22)/(sqrt(2)*-3) - (sqrt(99) + (sqrt(99) - sqrt(99)*-1)*6)/(sqrt(81) - (sqrt(81) - -1*sqrt(81))))**2. -168*sqrt(11) + 8633 Simplify -5 + (-2 + (sqrt(136) - (sqrt(136) - ((-2*sqrt(136) - sqrt(136)) + sqrt(136) + sqrt(136)))*-6)/(sqrt(648)*-3) + 2)**2. -772/729 Simplify (-2 + (3 + 2 + (sqrt(30) + (sqrt(750) - (-2*sqrt(750) - sqrt(750))))/sqrt(6))*2 + 1 + 0)**2. 756*sqrt(5) + 8901 Simplify (((3*-4*sqrt(152))/(sqrt(64)/sqrt(8)*-5) + 4 + 3 + -5)*-4)**2. 768*sqrt(19)/5 + 45376/25 Simplify -1 + ((sqrt(68) - (sqrt(68) + -1*sqrt(68) + sqrt(68)))/sqrt(4) - (0 + sqrt(51)/sqrt(3))) + 6*(sqrt(833) + 2) + 5. 16 + 41*sqrt(17) Simplify ((sqrt(45) + (sqrt(45) - (sqrt(45) + sqrt(405)))*-5)/(sqrt(9) - sqrt(1089)*2) + (-3*sqrt(640))/sqrt(2) + 3)**2. -1040*sqrt(5)/7 + 1355969/441 Simplify (sqrt(1029)/sqrt(7) + sqrt(24)/sqrt(8)*-3)**2 + ((-2 + sqrt(432))*-4 + sqrt(432) - sqrt(432) - -4*(sqrt(432) - (sqrt(432)*2 + sqrt(432))))**2. -2304*sqrt(3) + 62320 Simplify ((3*(sqrt(768) - 2*sqrt(768)))/(sqrt(576) + -1*sqrt(576) - -3*sqrt(16)/sqrt(4)))**2. 192 Simplify (4*(0 + (-4*sqrt(240)*-2)/(sqrt(12) - (sqrt(132) + 1*sqrt(132))/sqrt(11)))*6)**2. 737280 Simplify ((sqrt(972) + sqrt(972) + sqrt(972) + sqrt(972) + -1*sqrt(972))/sqrt(6)*-2 - (sqrt(56)/sqrt(28))/(sqrt(40)/(sqrt(40)/sqrt(4))))*-1. 109*sqrt(2)/2 Simplify (-4 + ((1 + 2 + sqrt(176) - sqrt(176)*-1*1) + 2)**2)*6. 480*sqrt(11) + 4350 Simplify -1*((6*sqrt(32))/(2*sqrt(4)*-1) - sqrt(64)/((sqrt(72)*2 - sqrt(72)) + sqrt(2))). 46*sqrt(2)/7 Simplify (sqrt(130) + (3*sqrt(130) - sqrt(130))*2 + sqrt(130) - (sqrt(130)*-3 - sqrt(130))*-4)/(1*sqrt(60)/(sqrt(378)/sqrt(7))). -30*sqrt(13) Simplify -2 + sqrt(612) + (sqrt(17) + 0)*3 - (sqrt(2057)*-2 + 2 + 5)**2. -8279 + 317*sqrt(17) Simplify (4*(sqrt(49)/sqrt(112) + -1*sqrt(63)))**2 - (5*(sqrt(1008) - (sqrt(1008)*-3 + 2)))**2. -402453 + 4800*sqrt(7) Simplify -6*(2 + (1 + 0 + ((1 + sqrt(1331))*6 - (sqrt(1331) + 5 + (sqrt(1331)*2 - sqrt(1331)))))**2) + -1. -127813 - 1056*sqrt(11) Simplify (-2*(1*(-2*sqrt(272) + 3 + (-4 + (sqrt(272) + -1*sqrt(272) - sqrt(272)) - sqrt(272) - sqrt(272)) + 2*(sqrt(272) + (0 + sqrt(272))*-1)) + -5))**2. 960*sqrt(17) + 27344 Simplify (4 + 2*4*(4*sqrt(304)*1 + 3 + sqrt(304) + 2 + -3))**2. 6400*sqrt(19) + 486800 Simplify -1 + (((-2 + sqrt(320)*2*-2*-5)*-6)**2 + 0)*-5. -23040721 + 115200*sqrt(5) Simplify (-5*-1*sqrt(187))/((sqrt(44) - sqrt(396))/sqrt(4)) + -1 - (-1 + (-3 + sqrt(68) + 1 + (sqrt(68) + sqrt(68) + -1)*1)**2). -621 + 67*sqrt(17)/2 Simplify ((sqrt(15) - sqrt(15)*1)*-3 - sqrt(15))/(sqrt(243)*-2) + ((sqrt(405)*-3)**2 - (-1*sqrt(60))/sqrt(12)). 19*sqrt(5)/18 + 3645 Simplify 5*(4*(sqrt(363) + 0 + 0)**2 - (2*(-3 + sqrt(3) - sqrt(3)) - ((sqrt(3) - sqrt(12)/sqrt(4))*6 + sqrt(3)))). 5*sqrt(3) + 7290 Simplify (3*sqrt(9)*-3 - sqrt(162)/sqrt(2))/(((sqrt(363)*1 + sqrt(363))*5 - sqrt(363)) + -1*sqrt(363)*1)*2. -3*sqrt(3)/11 Simplify -4 + -5 + (sqrt(8) + 1)**2 - ((sqrt(10) - sqrt(50)/sqrt(5))*6)/(sqrt(5) + 1*sqrt(5)*2). 4*sqrt(2) Simplify 4*(sqrt(704) + 0 + 3*sqrt(704) + 2) + sqrt(704) + (-3*(sqrt(704) + 3))**2 + (sqrt(704) + sqrt(704) + 3 + sqrt(704) - sqrt(704)) + -4. 584*sqrt(11) + 6424 Simplify 2 + (2*(2*sqrt(98)*5 - sqrt(98)))**2 + (3*((2*sqrt(98))**2 + sqrt(98)) - ((sqrt(98) + -1 + sqrt(98))*-1)**2). 49*sqrt(2) + 32537 Simplify ((sqrt(396)*-2 + 3)*-3*-3 - (sqrt(396) + 0 + -1 + sqrt(396) + -3 + (sqrt(396) - -2*sqrt(396))))**2. -8556*sqrt(11) + 210445 Simplify ((sqrt(171)/sqrt(12))/(sqrt(12)/(sqrt(4) + sqrt(4) + (sqrt(4) - sqrt(64)))) + 0)**2 - (3*sqrt(171)*-2)/(sqrt(9) - -4*sqrt(81)). 6*sqrt(19)/13 + 19/4 Simplify (4*(-4 + (5*(sqrt(1053) + sqrt(1053) + sqrt(1053)*1 - sqrt(1053)) - (sqrt(1053) - (sqrt(1053) + -2 + 4))) + -5))**2. -20160*sqrt(13) + 1685584 Simplify ((3*-4*-2*sqrt(91))/(sqrt(847) + (sqrt(847) - sqrt(847)*3)*5) + 5)**2. -80*sqrt(13)/33 + 28057/1089 Simplify (sqrt(42)/(-6*sqrt(147)))/(-4*sqrt(567)*6 - sqrt(567)) + -1. -1 + sqrt(2)/9450 Simplify ((-5*sqrt(2560)*-3)/(sqrt(72) + (sqrt(72) - (sqrt(72)*1 - sqrt(72)))*1)*4 + 4)**2. 640*sqrt(5) + 32016 Simplify (-2 + (-1*sqrt(95)*-6 - sqrt(95))/((-1*sqrt(15))/sqrt(3)) + 1 + (sqrt(38) + 5*sqrt(342))/sqrt(2)*-5)**2. 170*sqrt(19) + 137276 Simplify ((sqrt(1200)*-2 + sqrt(1200) - sqrt(1200))/(sqrt(18)/sqrt(12)))**2 + sqrt(2) + (sqrt(16)/sqrt(2))/sqrt(4) + 3 + 5. 2*sqrt(2) + 3208 Simplify 4 + ((sqrt(2057) + 2*sqrt(2057))*-1*-6 + (sqrt(2057) + -1 + 1)**2 + -2)*-2. -4106 - 396*sqrt(17) Simplify (2 + sqr
{ "pile_set_name": "DM Mathematics" }
and 9:16 AM? 203 What is 630 minutes after 10:31 PM? 9:01 AM What is 159 minutes after 2:43 PM? 5:22 PM What is 291 minutes after 12:08 AM? 4:59 AM How many minutes are there between 4:01 PM and 2:11 AM? 610 How many minutes are there between 2:33 PM and 7:12 PM? 279 How many minutes are there between 10:31 AM and 4:30 PM? 359 What is 584 minutes after 7:55 AM? 5:39 PM What is 468 minutes before 12:09 PM? 4:21 AM How many minutes are there between 4:45 AM and 5:10 AM? 25 How many minutes are there between 9:18 PM and 6:30 AM? 552 What is 127 minutes after 4:12 AM? 6:19 AM What is 353 minutes before 11:51 AM? 5:58 AM What is 155 minutes after 3:41 PM? 6:16 PM How many minutes are there between 10:10 AM and 1:33 PM? 203 What is 51 minutes before 10:24 PM? 9:33 PM What is 255 minutes before 10:44 PM? 6:29 PM What is 428 minutes before 8:33 AM? 1:25 AM How many minutes are there between 5:42 AM and 3:24 PM? 582 What is 678 minutes before 7:14 PM? 7:56 AM How many minutes are there between 12:42 AM and 3:20 AM? 158 How many minutes are there between 10:48 PM and 7:33 AM? 525 What is 424 minutes after 12:33 AM? 7:37 AM What is 155 minutes after 1:27 PM? 4:02 PM How many minutes are there between 11:29 AM and 3:24 PM? 235 What is 217 minutes before 9:46 PM? 6:09 PM How many minutes are there between 6:30 PM and 5:31 AM? 661 What is 570 minutes after 9:18 AM? 6:48 PM How many minutes are there between 5:41 PM and 4:01 AM? 620 How many minutes are there between 5:43 AM and 6:16 AM? 33 How many minutes are there between 3:53 AM and 3:00 PM? 667 How many minutes are there between 11:38 AM and 5:00 PM? 322 How many minutes are there between 9:34 AM and 2:37 PM? 303 How many minutes are there between 8:43 AM and 6:30 PM? 587 What is 328 minutes after 8:20 AM? 1:48 PM How many minutes are there between 8:22 PM and 11:17 PM? 175 How many minutes are there between 1:34 AM and 6:49 AM? 315 What is 443 minutes after 1:46 AM? 9:09 AM What is 325 minutes after 9:39 AM? 3:04 PM How many minutes are there between 6:46 PM and 3:45 AM? 539 What is 647 minutes before 8:34 AM? 9:47 PM What is 341 minutes before 7:29 AM? 1:48 AM What is 581 minutes after 5:33 PM? 3:14 AM What is 107 minutes after 7:00 PM? 8:47 PM What is 235 minutes after 3:15 PM? 7:10 PM How many minutes are there between 1:46 AM and 9:29 AM? 463 What is 419 minutes after 9:11 PM? 4:10 AM How many minutes are there between 5:44 PM and 10:46 PM? 302 What is 504 minutes before 6:45 PM? 10:21 AM How many minutes are there between 5:32 AM and 2:22 PM? 530 What is 672 minutes before 2:27 PM? 3:15 AM How many minutes are there between 3:28 PM and 1:58 AM? 630 What is 697 minutes after 10:24 PM? 10:01 AM How many minutes are there between 3:13 AM and 10:21 AM? 428 What is 376 minutes after 3:24 AM? 9:40 AM How many minutes are there between 11:18 PM and 8:03 AM? 525 What is 443 minutes after 9:02 PM? 4:25 AM How many minutes are there between 10:25 AM and 8:11 PM? 586 What is 662 minutes after 10:33 PM? 9:35 AM How many minutes are there between 10:46 AM and 2:43 PM? 237 What is 676 minutes after 2:40 PM? 1:56 AM How many minutes are there between 11:25 PM and 5:52 AM? 387 What is 490 minutes after 7:28 AM? 3:38 PM How many minutes are there between 8:33 AM and 8:53 AM? 20 How many minutes are there between 5:43 AM and 9:54 AM? 251 What is 171 minutes before 2:28 PM? 11:37 AM How many minutes are there between 10:07 PM and 1:44 AM? 217 How many minutes are there between 3:29 AM and 2:38 PM? 669 How many minutes are there between 7:46 AM and 10:52 AM? 186 What is 145 minutes after 5:49 AM? 8:14 AM How many minutes are there between 3:29 PM and 3:14 AM? 705 How many minutes are there between 6:34 PM and 11:20 PM? 286 How many minutes are there between 1:57 AM and 3:00 AM? 63 What is 681 minutes before 3:29 PM? 4:08 AM What is 485 minutes after 5:23 AM? 1:28 PM How many minutes are there between 7:52 PM and 10:47 PM? 175 How many minutes are there between 3:46 PM and 11:47 PM? 481 How many minutes are there between 8:07 PM and 7:54 AM? 707 What is 675 minutes after 2:46 PM? 2:01 AM What is 643 minutes after 5:09 AM? 3:52 PM How many minutes are there between 8:08 PM and 9:55 PM? 107 How many minutes are there between 7:16 PM and 7:01 AM? 705 How many minutes are there between 3:51 AM and 4:41 AM? 50 What is 586 minutes before 5:51 AM? 8:05 PM How many minutes are there between 6:16 PM and 5:45 AM? 689 How many minutes are there between 3:10 AM and 9:52 AM? 402 How many minutes are there between 10:09 AM and 9:30 PM? 681 How many minutes are there between 4:51 AM and 7:13 AM? 142 How many minutes are there between 8:00 PM and 12:13 AM? 253 What is 553 minutes after 7:33 PM? 4:46 AM What is 41 minutes after 9:47 PM? 10:28 PM What is 652 minutes after 7:53 AM? 6:45 PM What is 557 minutes after 5:31 AM? 2:48 PM What is 142 minutes before 12:50 PM? 10:28 AM How many minutes are there between 5:55 PM and 2:54 AM? 539 What is 249 minutes before 4:01 AM? 11:52 PM How many minutes are there between 6:40 PM and 5:27 AM? 647 How many minutes are there between 11:19 AM and 4:40 PM? 321 What is 660 minutes after 10:21 PM? 9:21 AM What is 669 minutes after 3:51 AM? 3:00 PM What is 501 minutes before 10:37 AM? 2:16 AM How many minutes are there between 2:07 AM and 6:37 AM? 270 How many minutes are there between 10:18 AM and 3:39 PM? 321 How many minutes are there between 7:54 AM and 6:19 PM? 625 What is 568 minutes before 4:19 AM? 6:51 PM How many minutes are there between 4:32 AM and 3:39 PM? 667 What is 14 minutes after 9:53 PM? 10:07 PM What is 388 minutes before 12:07 PM? 5:39 AM What is 428 minutes before 4:26 AM? 9:18 PM What is 597 minutes after 6:05 AM? 4:02 PM What is 595 minutes after 5:39 PM? 3:34 AM What is 25 minutes before 9:15 PM? 8:50 PM What is 9 minutes after 4:14 PM? 4:23 PM What is 693 minutes after 8:27 AM? 8:00 PM How many minutes are there between 7:08 AM and 11:33 AM? 265 How many minutes are there between 5:14 AM and 2:04 PM? 530 What is 165 minutes after 11:02 PM? 1:47 AM How many minutes are there between 3:04 PM and 12:10 AM? 546 What is 704 minutes after 8:21 AM? 8:05 PM How many minutes are there between 5:20 AM and 4:15 PM? 655 How many minutes are there between 10:40 AM and 11:15 AM? 35 How many minutes are there between 8:50 PM and 9:15 PM? 25 How many minutes are there between 3:06 PM and 3:55 PM? 49 What is 176 minutes after 8:29 PM? 11:25 PM How many minutes are there between 3:56 PM and 6:34 PM? 158 What is 588 minutes before 5:29 PM? 7:41 AM What is 317 minutes after 2:05 AM? 7:22 AM What is 293 minutes before 7:32 PM? 2:39 PM How many minutes are there between 9:30 PM and 7:06 AM? 576 How many minutes are there between 2:15 PM and 6:52 PM? 277 How many minutes are there between 5:30 AM and 9:45 AM? 255 How many minutes are there between 8:08 PM and 8:33 PM? 25 How many minutes are there between 7:53 AM and 8:49 AM? 56 How many minutes are there between 11:36 PM and 1:07 AM? 91 How many minutes are there between 2:49 AM and 8:06 AM? 317 What is 644 minutes after 8:46 AM? 7:30 PM How many minutes are there between 10:03 PM and 10:30 PM? 27 How many minutes are there between 8:26 AM and 1:48 PM? 322 What is 144 minutes after 10:59 AM? 1:23 PM How many minutes are there between 1:57 PM and 2:03 PM? 6 How many minutes are there between 10:18 AM and 8:09 PM? 591 How many minutes are there between 10:29 AM and 2:44 PM? 255 How many minutes are there between 4:37 PM and 8:43 PM? 246 What is 353 minutes before 8:20 PM? 2:27 PM How many minutes are there between 7:32 AM and 11:41 AM? 249 What is 507 minutes before 2:22 PM? 5:55 AM What is 203 minutes before 3:56 PM? 12:33 PM What is 599 minutes after 4:14 AM? 2:13 PM What is 419 minutes before 12:24 PM? 5:25 AM How many minutes are there between 5:10 PM and 6:42 PM? 92 How many minutes are there between 8:24 AM and 11:15 AM? 171 How many minutes are there between 12:17 PM and 9:03 PM? 526 How many minutes are there between 2:42 AM and 2:03 PM? 681 How many minutes are there between 1:11 PM and 4:17 PM? 186 How many minutes are there between 9:01 PM and 9:07 PM? 6 What is 472 minutes after 6:56 PM? 2:48 AM How many minutes are there between 4:
{ "pile_set_name": "DM Mathematics" }
letters picked without replacement from {r: 1, x: 2, q: 1}. What is prob of picking 1 x and 1 q? 1/3 Calculate prob of picking 2 q when two letters picked without replacement from qqxqqqqxqqxqqqq. 22/35 What is prob of picking 3 a when three letters picked without replacement from {b: 15, a: 3}? 1/816 Three letters picked without replacement from hddssxxsnxdxzhddshsn. Give prob of picking 2 n and 1 z. 1/1140 Calculate prob of picking 1 h, 1 u, and 1 j when three letters picked without replacement from jcjhucwuhuhjhuuuhhuj. 14/95 Three letters picked without replacement from zxzzzzzzzzzzxxz. Give prob of picking 1 z and 2 x. 36/455 What is prob of picking 1 b and 1 h when two letters picked without replacement from {j: 2, w: 1, a: 1, h: 2, z: 6, b: 3}? 2/35 Three letters picked without replacement from {h: 7, t: 1, j: 2, y: 10}. Give prob of picking 2 h and 1 j. 7/190 Two letters picked without replacement from {m: 2, e: 4, b: 1}. What is prob of picking 2 m? 1/21 Two letters picked without replacement from {b: 1, w: 2, s: 1, f: 2, x: 4}. What is prob of picking 1 f and 1 w? 4/45 Three letters picked without replacement from {i: 12, z: 6}. Give prob of picking 1 z and 2 i. 33/68 Calculate prob of picking 1 u and 1 l when two letters picked without replacement from {k: 1, l: 1, u: 1, t: 1, q: 1}. 1/10 Calculate prob of picking 1 t and 1 s when two letters picked without replacement from xddtddssgss. 4/55 Four letters picked without replacement from {y: 4, b: 3, q: 1}. What is prob of picking 2 b and 2 y? 9/35 What is prob of picking 1 f, 2 g, and 1 e when four letters picked without replacement from {h: 2, g: 5, f: 1, r: 3, e: 1, o: 1}? 2/143 Two letters picked without replacement from dbbebedieimbbiemme. Give prob of picking 1 e and 1 m. 5/51 Calculate prob of picking 1 r and 1 j when two letters picked without replacement from {t: 1, r: 7, j: 5, z: 2, k: 1}. 7/24 Two letters picked without replacement from {l: 3, m: 1, x: 2, u: 2, z: 2, w: 2}. What is prob of picking 1 u and 1 m? 1/33 What is prob of picking 3 p when three letters picked without replacement from {u: 1, z: 4, p: 2}? 0 What is prob of picking 2 x, 1 t, and 1 k when four letters picked without replacement from xbeketbtxxab? 2/165 What is prob of picking 1 e, 1 h, and 2 r when four letters picked without replacement from erqhkhqqkrqeh? 6/715 Calculate prob of picking 2 b when two letters picked without replacement from bbsbsbbbsbbbsbssbsss. 11/38 What is prob of picking 2 t when two letters picked without replacement from {u: 1, s: 2, t: 4, q: 1, f: 1}? 1/6 What is prob of picking 4 t when four letters picked without replacement from ttttttttrtttttt? 11/15 What is prob of picking 2 i when two letters picked without replacement from {t: 2, m: 3, k: 3, w: 3, b: 1, i: 4}? 1/20 Four letters picked without replacement from {d: 9, b: 1, f: 1, s: 3}. What is prob of picking 1 d and 3 s? 9/1001 Calculate prob of picking 1 u and 1 n when two letters picked without replacement from biunun. 4/15 Two letters picked without replacement from {k: 16, d: 4}. Give prob of picking 2 k. 12/19 Calculate prob of picking 2 k, 1 h, and 1 a when four letters picked without replacement from hkaakahkkaakk. 30/143 Three letters picked without replacement from uukucuuuckcckkcuccck. What is prob of picking 1 u and 2 c? 49/285 Four letters picked without replacement from eoffseoeseesf. Give prob of picking 1 e and 3 f. 1/143 Two letters picked without replacement from wjfwjkwjjwjejjkww. Give prob of picking 2 w. 15/136 Two letters picked without replacement from {z: 13, t: 5}. What is prob of picking 1 z and 1 t? 65/153 What is prob of picking 2 j when two letters picked without replacement from ddddjdjddddddddddjdd? 3/190 Four letters picked without replacement from {p: 5, b: 7, s: 1, d: 5}. What is prob of picking 1 b and 3 d? 7/306 Calculate prob of picking 2 m when two letters picked without replacement from {m: 3, x: 7, v: 1, t: 5}. 1/40 What is prob of picking 2 u, 1 v, and 1 k when four letters picked without replacement from {u: 2, a: 2, v: 1, b: 1, e: 1, k: 1}? 1/70 Three letters picked without replacement from {l: 1, u: 4, b: 2}. Give prob of picking 3 u. 4/35 Four letters picked without replacement from wwawwaw. Give prob of picking 2 w and 2 a. 2/7 What is prob of picking 1 q and 1 n when two letters picked without replacement from qjqdqnqnqjqqqqdn? 9/40 What is prob of picking 2 w and 2 q when four letters picked without replacement from {w: 3, q: 7}? 3/10 What is prob of picking 1 o, 1 z, and 1 g when three letters picked without replacement from {z: 3, n: 1, o: 1, j: 4, g: 10}? 10/323 Calculate prob of picking 1 f and 1 z when two letters picked without replacement from {z: 1, l: 1, b: 1, f: 1, m: 1}. 1/10 Two letters picked without replacement from {d: 2, y: 1, g: 1}. What is prob of picking 1 y and 1 g? 1/6 What is prob of picking 1 h and 2 v when three letters picked without replacement from {r: 3, h: 4, v: 7}? 3/13 Calculate prob of picking 1 y and 1 q when two letters picked without replacement from {y: 2, k: 1, q: 1}. 1/3 What is prob of picking 1 k and 1 t when two letters picked without replacement from ktkktkkktkkkkt? 40/91 Two letters picked without replacement from rvapc. What is prob of picking 1 a and 1 r? 1/10 Three letters picked without replacement from {b: 2, a: 1, g: 5, v: 2, o: 6}. Give prob of picking 1 v and 2 g. 1/28 Two letters picked without replacement from grggrgcvursrg. What is prob of picking 2 g? 5/39 What is prob of picking 2 b when two letters picked without replacement from bggggbgggggggggb? 1/40 What is prob of picking 1 v and 1 t when two letters picked without replacement from vtvt? 2/3 Two letters picked without replacement from bauuuabauugccu. What is prob of picking 2 a? 3/91 Calculate prob of picking 1 i and 2 b when three letters picked without replacement from {u: 10, y: 3, q: 1, i: 1, b: 2}. 1/680 What is prob of picking 1 l and 3 f when four letters picked without replacement from {f: 6, l: 6}? 8/33 Two letters picked without replacement from {n: 2, d: 8}. Give prob of picking 1 n and 1 d. 16/45 Four letters picked without replacement from {r: 1, m: 1, d: 4, c: 1, a: 9, l: 1}. What is prob of picking 4 d? 1/2380 Calculate prob of picking 2 x when two letters picked without replacement from xxxyyyfyyxffyyffyyf. 2/57 Three letters picked without replacement from xevxeexxeexxx. What is prob of picking 1 v and 2 e? 5/143 Three letters picked without replacement from ggagagaaaagag. Give prob of picking 3 a. 35/286 Three letters picked without replacement from sczcczcczzc. What is prob of picking 1 z and 2 s? 0 Calculate prob of picking 2 w and 2 c when four letters picked without replacement from {k: 7, j: 3, w: 5, l: 1, c: 3}. 5/646 Two letters picked without replacement from mamhbuhhbrm. Give prob of picking 1 r and 1 m. 3/55 Two letters picked without replacement from mvvgmpmggvgmg. Give prob of picking 1 g and 1 v. 5/26 What is prob of picking 2 l and 1 h when three letters picked without replacement from {h: 16, l: 2}? 1/51 Calculate prob of picking 1 r and 1 h when two letters picked without replacement from jrrgysh. 2/21 What is prob of picking 3 k when three letters picked without replacement from {z: 1, c: 2, k: 3, p: 1}? 1/35 Calculate prob of picking 1 u and 1 v when two letters picked without replacement from vuvuvuvvvvv. 24/55 What is prob of picking 2 t and 2 f when four letters picked without replacement from cttcctcftfcttttcccc? 7/969 Two letters picked without replacement from ivusuvuivvyy. What is prob of picking 2 u? 1/22 Three letters picked without replacement from {g: 4}. What is prob of picking 3 g? 1 Three letters picked without replacement from {n: 6, s: 2, r: 3, f: 4}. What is prob of picking 3 f? 4/455 Four letters picked without replacement from {l: 15, k: 4}. Give prob of picking 4 k. 1/3876 Four letters picked without replacement from {j: 1, p: 4, d: 2, r: 3}. What is prob of picking 1 p and 3 r? 2/105 What is prob of picking 1 g and 1 z when two letters picked without replacement from zzzzzgzgzz? 16/45 Calculate prob of picking 3 q and 1 t when four letters picked without replacement from quqtdhddqzdu. 1/495 Three letters
{ "pile_set_name": "DM Mathematics" }
1/3 (b) 131/12 (c) -0.1 (d) -2 b Which is the third biggest value? (a) 1/2 (b) 0.69 (c) -41.7 c Which is the second biggest value? (a) 2/13 (b) -3/7 (c) 1375 (d) -3/5 a What is the third biggest value in 2, -4/7, -3, -1/7572? -4/7 Which is the third smallest value? (a) 83 (b) 87 (c) 0.4 (d) 0.3 a What is the third smallest value in 1, 1/12, -1/2, -1/162? 1/12 What is the second biggest value in -8, 202/9, -0.5, -1/16, 2? 2 What is the biggest value in -2, -4, -0.07, -47? -0.07 Which is the second smallest value? (a) 226.1 (b) 0.1 (c) 4 c Which is the third smallest value? (a) -4 (b) -418 (c) 0.3 c Which is the third biggest value? (a) -0.5 (b) -11 (c) 0.12 (d) -15/32 a Which is the fourth smallest value? (a) 2 (b) 4 (c) 1/6 (d) -1.684 (e) 0.5 a What is the second biggest value in -1/6, 1569, -1/4, 626? 626 What is the second smallest value in -2, 69.5, -1/3, 2/5? -1/3 Which is the third smallest value? (a) -59/2 (b) 57.5 (c) -0.2 (d) -2/7 c Which is the biggest value? (a) -45 (b) 5 (c) 2/3 (d) 0.188 b Which is the third biggest value? (a) -3/4 (b) 1 (c) -2 (d) 0.3 (e) -0.2 (f) 81 d Which is the second smallest value? (a) 0.1 (b) -1/6 (c) 0.3 (d) -0.21 (e) -2 d What is the fourth biggest value in 12/5, 1/7, 2/3, 3/4, 9/4, 3/7? 2/3 What is the fifth smallest value in -1.457, -1/8, -4, 4/5, 1, -2/3? 4/5 What is the smallest value in -2/19, 1/3, 0.9, -3/10, 0, 19? -3/10 Which is the third smallest value? (a) 6/667 (b) 1 (c) -0.4 b Which is the third biggest value? (a) -0.01 (b) -460 (c) 5 b Which is the fifth biggest value? (a) -1/6 (b) 4 (c) 2/15 (d) 6 (e) 188 a Which is the second smallest value? (a) -0.11 (b) 43 (c) 0.5 (d) 3 (e) -3 a Which is the third smallest value? (a) 1/8 (b) -1 (c) -0.5 (d) 0.4 (e) -4 (f) -3/8 c What is the second biggest value in 2/13, -1/18, -29, -8? -1/18 What is the second smallest value in -1/7, -0.1455, 0? -1/7 What is the biggest value in 610, -36/13, 4? 610 Which is the smallest value? (a) 4 (b) 41 (c) -5 (d) 0.1 (e) -30 e Which is the fourth biggest value? (a) 3/4 (b) 48 (c) 1.5 (d) -1 (e) 4 a What is the second biggest value in -0.5, 0.3, 3, -0.6, 830? 3 Which is the second smallest value? (a) 1/49 (b) -3/5 (c) 2/45 a What is the fifth smallest value in 1/8, -1/3, 592, 15, -1/2? 592 What is the biggest value in -62871, 0.5, -1/2? 0.5 Which is the third smallest value? (a) -0.5 (b) -2 (c) 0.17 (d) -197/4 a What is the smallest value in 12/13, 1/5, 4/3, 10, 0, 0.01? 0 Which is the second biggest value? (a) 1 (b) 3 (c) 69 (d) 1.6 (e) -2 b Which is the third smallest value? (a) -0.13 (b) -4 (c) 0.3 (d) 2 (e) -4.89 a What is the second smallest value in -2/15, 87, -29, -2/5, -1, 1/6? -1 Which is the third smallest value? (a) -1 (b) 10 (c) 1/4 (d) 212/9 (e) 2.8 e Which is the smallest value? (a) -1/8 (b) -13/53774 (c) 1/11 a Which is the biggest value? (a) 37 (b) -38 (c) -4 (d) -0.2 (e) 0 a Which is the third smallest value? (a) -2 (b) -302 (c) -4/5 (d) -1/10 (e) 4 c What is the fourth smallest value in 6/7, 2/5, -5, 75, 1/3? 6/7 What is the second smallest value in -0.5, -1, 101, 8, -0.03? -0.5 What is the third biggest value in -0.1, -6, -3, 352? -3 What is the smallest value in 3/4, 0.4, 0.5, 2/13, 6, -7/5? -7/5 What is the fifth smallest value in 79, 4, -2/15, 5, -1? 79 Which is the second smallest value? (a) 4 (b) -4 (c) -3/103 (d) -1/75 c What is the fifth biggest value in -24, -0.3, 2, 3, 6? -24 What is the second biggest value in 2/9, -1/38, -160? -1/38 What is the third biggest value in 2/109, 4, 0.4, -2, 0.09? 0.09 Which is the smallest value? (a) -2/413 (b) 4 (c) 1/2 (d) 0.3 (e) -4 (f) 5 e What is the second smallest value in -0.4, 5, -9/7, -0.13, -54/17? -9/7 What is the smallest value in -0.011, 0, 2, -2, 1.2, 6/19? -2 What is the second smallest value in -85, 3, -3, 0.112? -3 What is the smallest value in 4, 0, -1/6, -0.1425? -1/6 What is the fifth biggest value in 33, 336, -4/9, 4, -5/3? -5/3 Which is the third smallest value? (a) -11/4 (b) -3468 (c) 0 c What is the second biggest value in -56/27, 19, 1/3? 1/3 Which is the smallest value? (a) -10 (b) 0 (c) -530 c Which is the fifth smallest value? (a) 0.5 (b) 7 (c) -0.38 (d) -2/5 (e) -1 b What is the second smallest value in -5, 291, 5, 0.4, -2? -2 Which is the third smallest value? (a) -206.62 (b) 1/5 (c) -3 (d) 7/4 b Which is the biggest value? (a) 1/5 (b) 5/2 (c) -796 (d) 7 d Which is the fourth smallest value? (a) -10 (b) -5 (c) -302 (d) -4/7 d What is the third biggest value in 3, 2, 2544? 2 What is the third smallest value in -3, 9, 0.5, 35, 24? 9 What is the third smallest value in 0.3, -0.1, -13, -0.05, -9/2, 1/8? -0.1 Which is the fifth biggest value? (a) 4/53 (b) -0.3 (c) -6 (d) -4 (e) -2/15 c What is the second smallest value in 4, -0.0376, -30.3, -5? -5 Which is the second biggest value? (a) -2/9 (b) 1 (c) -1 (d) 2 b What is the second smallest value in -48/125, 17/3, 1, -5, -0.2? -48/125 Which is the third smallest value? (a) -960 (b) -2/17 (c) -5 (d) -0.3 d What is the smallest value in -3, -6128, -2/13? -6128 What is the third biggest value in 1778, -5/2, -4/3, -3, 0.5, -2.9? -4/3 Which is the third biggest value? (a) -0.6 (b) 11004 (c) -1 c Which is the second smallest value? (a) 1/3 (b) 0.4 (c) -0.39 (d) 1 (e) 139.9 (f) -2/13 f Which is the third biggest value? (a) -18 (b) 0.2 (c) -0.11 a Which is the second biggest value? (a) 39 (b) 1/12 (c) 0.2 (d) -9/7 c What is the fourth smallest value in -0.4, -0.1, -0.3, 57, -1/2? -0.1 Which is the smallest value? (a) 1/5 (b) -2/197 (c) 425 b What is the fourth smallest value in -8, 0.2, 6, -2? 6 What is the second biggest value in 1, -1417, 2, -3, 0.2? 1 Which is the biggest value? (a) 121 (b) 2/5 (c) -2/69 a What is the second smallest value in -0.2, -0.4, -4/9, -0.3, 2/5, -2286? -4/9 What is the second biggest value in 0, -1, -36, -0.066? -0.066 Which is the biggest value? (a) -1/2 (b) -0.1 (c) 1 (d) 6050 (e) 1/3 d Which is the second smallest value? (a) 7 (b) -26/7 (c) -1/51 (d) -4 b What is the smallest value in 2/35, -5, 0.23, 1.4, 0.2? -5 Which is the biggest value? (a) -56715 (b) -1/7 (c) -5 b What is the smallest value in 0.3, 2, -0.1, 7000? -0.1 Which is the second smallest value? (a) 1 (b) -1/3 (c) 8 (d) 9 (e) 0.3 e Which is the third smallest value? (a) 3/8 (b) -0.4 (c) -5 (d) -18287 (e) 5 b What is the third smallest value in 4/4203, -2, 0? 4/4203 Which is the fifth smallest value? (a) 4 (b) 0.061 (c) 0 (d) 0.4 (e) -3 (f) 277 a What is the fifth smallest value in 2, -4, -0.02, 5, 14? 14 What is the smallest value in -1/4, 0.153, 8/51? -1/4 Which is the smallest value? (a) -0.05112 (b) 3 (c) -2 c What is the fourth biggest value in -4, 3, 15, 8? -4 Which is the second smallest value? (a) -11652 (b) -0.5 (c) -2/3 c Which is the biggest value? (a) 20/13 (b) -1/4 (c) -3 a What is the second biggest value in -2/5, 15, -5, -2/9, 300, -5/2? 15 What is the second biggest value in 7, 50, -19, 4? 7 What is the fourth biggest value in 5, 2/15, 3, 747.3? 2/15 What is the second smallest value in -0.06, -672, 2, -0.2? -0.2 Which is the second biggest value? (a) -26/11 (b) -1/13 (c) 20.2 b Which is the fourth smallest value? (a) -284 (b) 0.4 (c) 0.46 (d) -2 (e) -2/17 b What is the third biggest value in 41.3, -9, 4, 1? 1 What is the biggest value in 5, 0.5, 1/4, -205? 5 Which is the smallest value? (a) -601136 (b) -4 (c) 3 a Which is the fifth smallest value? (a) -2/11 (b) -0.3 (c) -9/8 (d) 5 (e) 1/3 (f) 4 f Which is the smallest value? (a) -0.2 (b) 1/4 (c) 5 (d) -31 (e) -5 d What is the biggest value in -8, -40, -1/5, 0.07? 0.07 What is the second smallest value in -0.2, 5, 13370? 5 Which is the smallest value? (a) -302 (b) -1/556 (c) -4 a Which is the biggest value? (a) -4 (b) -0.1 (c) -1 (d) -5 (e) 315 e What is the third biggest value in 1/7, -0.7, 0.2, 4, 2/7, 5? 2/7 What is the third smallest value in 0.6, 112, -0.2, 0.5? 0.6 Which is the second smallest value? (a) 4 (b) 2/11 (c) 0.04 (d) -1 (e) -0.0849 e What is the smallest value in
{ "pile_set_name": "DM Mathematics" }
2/15, s? 0.3 Let f = 504.8881 + 0.1119. Let s = f + -504.6. What is the closest to 0 in 4, 3, s, 2/29? 2/29 Let g(z) = -z**3 + 6*z**2 - 5. Let m be g(6). Let q = 50256 - 251281/5. Which is the closest to m? (a) q (b) -2 (c) -4/7 (d) -3 d Let k = 2.278 + -2.578. Which is the closest to 0.7? (a) k (b) 6/7 (c) 1 (d) 9 b Let y = 5.2 - 4.2. Let q = 62 - 14. Let j = q + -48. Which is the closest to j? (a) 1/6 (b) 3/4 (c) y a Suppose -3*q - n + 30 = 24, 5*n = q + 14. Let r = -1 - -1. Which is the nearest to q? (a) 6 (b) r (c) 0.2 c Let t be 2889/1926*-2*2/6. Let p = -83 - -24. Which is the closest to p? (a) 2/9 (b) t (c) -1/8 (d) 4 b Let i be 2 - (-63)/7440*141. Let t = i - -3/496. Let p = 2.9563 + 0.0437. Which is the closest to 2/7? (a) -0.3 (b) p (c) t a Let p = -33374/3362015 + 1/11023. Which is the nearest to 0.1? (a) 3/8 (b) -1/2 (c) p (d) -4 c Let g = 0.23 - 1.63. Let a = g + 1.8. Let w = 57/46 + 6/23. What is the nearest to -2/5 in -0.05, a, w? -0.05 Let x be (-2 - (-4 + 1))*0. Let m be 21/(-105)*(x + -9). What is the closest to -1 in -1/2, m, 2/5? -1/2 Let d = -0.22 - 330.78. Let i = d + 329. Which is the nearest to 2? (a) i (b) 1 (c) -0.3 b Let m = 29559/2 + -14780. Which is the nearest to m? (a) 0.2 (b) 28 (c) -30 a Suppose v + q = -55, -2 = -q - 6. What is the closest to -3 in 0.5, v, -1/8, -3? -3 Let t = 6112 + -6110.5. What is the closest to 0.2 in 3, t, -1? -1 Let t = -231 - -231. Let k be (-2)/3 - 230/(-210). Which is the closest to k? (a) -2 (b) t (c) 7 (d) 2/9 d Let p be ((-204)/255)/(52/(-10)). What is the nearest to -2 in -0.5, 3/5, p, 2/15? -0.5 Let g = 2948 + -2943. Let w be (-32)/(-63) - 2/9. Let s = 4.57 + -5.07. What is the nearest to w in s, 1/6, g? 1/6 Let t = 0 + -6. Let h = -5.7 - t. Let d = -16779.4 - -16779. What is the nearest to 2 in d, h, -2/19? h Let r = -20 - -21.1. Suppose 2*k + p = -185, 28 = k + p + 119. Let y be (5/25)/(3 + k/30). Which is the closest to 2/5? (a) y (b) -3 (c) r c Let n = -9701/3 - -3234. Which is the closest to n? (a) 5/12 (b) 4 (c) -1 a Let u be ((-6)/(2/2))/2. Let q(c) = -c**3 + c**2 + c + 1. Let k be q(-1). Suppose -5*w = n, k*w = -n - 2*n. What is the closest to n in -2, 4/9, u? 4/9 Let d = 59106/7 + -8444. What is the closest to d in -2/411, 1, -3? -2/411 Let l = 0.07681 + -3.07681. Suppose 0 = 5*k - k + 4. Let t = -2 + 1. Which is the nearest to t? (a) k (b) l (c) -5 a Let j be (-5)/(-2)*(-3)/15. Suppose 599 = -669*t - 806 - 1940. Which is the nearest to j? (a) -7 (b) 1/2 (c) t b Let l = 0 - 4. Let r = 3.43 + 3.07. Let u = r - 7. Which is the nearest to l? (a) u (b) -5 (c) -0.3 b Let y = -0.8 - -0.4. Let b(q) = q**3 + 5*q**2 - 14*q - 1. Let c be b(-7). Let f be 5 - (14/c)/(-2). What is the nearest to 1 in y, f, 0? 0 Let k = 498 + -6472/13. Which is the closest to -0.1? (a) -4 (b) 44 (c) 0.2 (d) k d Let o(g) = g**3 + 27*g**2 + 31*g + 128. Let l be o(-26). Which is the nearest to l? (a) -6 (b) -2 (c) -4 (d) -0.14 b Let h = -21 + 6. Let i = h + 15.1. Suppose 12*f - 22 = 38. Which is the nearest to i? (a) 1/12 (b) f (c) -4 a Suppose 9*o - 7869 = -4755. What is the nearest to 2 in o, 2, -5? 2 Let m = -0.0001 + 2.0001. Let h = 21.972 - 22. Let v = 0.038 + h. What is the closest to -0.5 in v, m, 0.1? v Let l = -0.08 + 3.08. Let b = 1009.15 - 1011.15. What is the nearest to -0.1 in -4, b, 0.04, l? 0.04 Let n = 1899/136 + -231/17. Which is the closest to -1? (a) -2 (b) n (c) -4 (d) -12 a Let i = -622.6 + 623. Let d = -5 + 4.6. Let o = -0.21 + 0.01. What is the nearest to d in i, -2/17, o? o Let i = -30694 - -30691. Which is the nearest to -0.6? (a) 1/3 (b) -61 (c) i a Let s = 1.7 + -1.63. Let m = 0.37 - s. Let v = -770 - -771. What is the nearest to v in 6, m, 3? m Let q = -6593.7 + 6594. Which is the nearest to -1/37? (a) 2/11 (b) q (c) 1 a Let a = 629 + -1888/3. Let r = 4.06 + -0.06. What is the nearest to r in a, -3, 0.1? 0.1 Let j = 6177 - 6176.6. Which is the nearest to -1? (a) 3 (b) -2 (c) j b Let f = 6 - 9. Let w = 36810 - 36811. Let r be 27/(-60) - 2/(-8). Which is the closest to w? (a) -5 (b) r (c) f b Let z = 861.04 + -860.74. Let m = -2.6 + 0.6. What is the nearest to -0.7 in z, m, 11? z Let a = -92.8 + 93.8. Suppose 0 = p + 4*w, -5*w - 5 + 0 = 0. What is the closest to a in p, -1/2, -6/5? -1/2 Let n = 17927 - 17927.1. What is the nearest to n in 1, -0.1, 0.02967? -0.1 Let s = -691 + 296. Let z = 395.4 + s. Let q = 1.8 + -0.5. Which is the closest to -2? (a) -0.3 (b) z (c) q a Let b = 4 - 5. Let m(x) = 36*x - 25. Let l be m(2). Let f = -52 + l. What is the closest to b in -1/2, f, 1? -1/2 Let r be ((-2)/(-4))/((-9)/6). Let x = -22855 - -182843/8. Which is the nearest to 1? (a) r (b) x (c) 4 b Let w be (98 + -90)/(1*(-2)/10). Let n be ((-94)/(-30) - 3)/(12/w). Let p = -108 + 105. Which is the closest to -1? (a) -4 (b) p (c) n c Let m be (-12)/(-16)*(-4)/(-10). Let d = -1/8881 + -319693/204263. Let l = d + 3/46. What is the closest to 0.2 in m, -2, l? m Let h be (-82)/(-123)*(-30)/68. Let o = -57/136 - h. Which is the closest to 0? (a) o (b) 1/4 (c) 0 c Let t = -311.7 + 28.7. Let o = -282.7 - t. Let l = -0.1 - 0.9. Which is the closest to 0? (a) l (b) 1/6 (c) o b Let n(f) = 2*f**3 - 3*f**2 - f + 3. Let v be n(0). Suppose 0 = v*c - 3*d + 7*d + 1, -4*c = -d - 5. What is the nearest to 2/5 in 1/5, 3, -0.1, c? 1/5 Let u = 57.241 - 42.241. What is the closest to 1/4 in u, -12, 0.1? 0.1 Let u be (0 - (6 + (-138)/21))*(2 - -5). What is the closest to -3 in 0, 0.2, u, 5? 0 Suppose 2*h = 5*n - 2*h - 218, -3*h + 36 = n. Let d = -94 - -98. Let k = -7 + d. Which is the nearest to 2/7? (a) k (b) n (c) 2 c Let c = 0.02 - 2.02. Let q = -4434.06 + 4434. What is the closest to 0.1 in q, c, 3? q Let c = 53 + -92. Let q = -31 - c. Let h = q + -2. What is the closest to h in 4, -3/8, -0.3? 4 Suppose 4*n + 20 = -0*n. Let s = 0.31641 + 0.18359. Which is the nearest to -0.2? (a) n (b) 1/4 (c) 1/8 (d) s c Let i = 24.51 - 0.51. Let n = i + -24. Let w = -676 + 10142/15. Which is the closest to n? (a) -4 (b) w (c) -19 b Let w = -488 + 514.3. Let k = w - 36.3. Which is the nearest to 0.1? (a) 0.2 (b) -0.3 (c) k (d) 0.1 d Let j be 19/7 + 4/14. Let l = -982646 - -982647. What is the closest to l in 0.1, 2, j? 0.1 Let v(l) = 32*l - 182. Let x be v(5). Let r = -0.37 + 0.07. Which is the closest to x? (a) 2 (b) r (c) 4 b Let g = 6683 - 6682.8. What is the nearest to -2/9 in 0.5, -23, g, 14? g Let w = 16.867 - 17.857. What is the nearest to w in 5, -0.1, -0.5, 2/19? -0.5 Let y = 80 + -85. Let j be (-3)/(-15)*255/408. What is the nearest to 2 in y, 1/4, j? 1/4 Let v = 3433 - 3428. Which is the nearest to 2.3? (a) -2 (b) v (c) 0.5 c Let p(q) = 0*q**3 + 3*q - 10 - q**3 + q**2 + q**2 + q. Let d(y) = y + 7. Let r be d(-5). Let z be p(r). What is the closest to 1 in -2/13, 1/3, z? 1/3 Suppose 0 = -4*f - 5*l + 35, 3*f - 18 = -0*f - l. Suppose -f*x = 7*x - 60. Which is the nearest to x? (a) 0 (b) -2 (c) -1 a Let u = -174385 - -174385.5. Suppose 0 = 4*x - 3*g - 31, 45 = 4*x - 4*g + 9. Which is the nearest to -1? (a) x (b) u (c) 3/2 (d) 66 b Suppose -183*n - 248 = 118. Which is the closest to -2/17? (a) 2/3 (b) n (c) -5 (d) -4 a Let t = -29.76 - 1.84. Let g = t - -32. Let k = 0.05 - 0.1. Which is the nearest to k? (a) -5 (b) g (c) -1/9 c Let j = -98 + 262. Let z = 199 - j. Which is the closest to -0.2? (a) -3 (b) z (c) 2 c Let j(u) = -u**3 + 7*u**2 - 2*u + 9. Let o be j(7). Let l = -146 + 146. Suppose l = -25*w + 26*w. Which is the closest to w? (a) -2 (b) -0.3 (c) o b Suppose 2*q = -2*x + 502, 3*q - 256 = 2*q + 4*x. Let b = -1768/7 + q. Let u be (-1)/42*-7 - 57/18. What is the closest to b in 0.3, u, -0.1? -0.1 Let o(f) = -3*f + 59. Let n be o(18). Suppose n*u - 2*a - 13 = 0, u + a - 1 = -4. Let w be u*(-3 + (-1 - 0)*-4). What is the closest to -5 in w, -2/3, -0.3? -2/3 Let o be 15/(-20) - (-340)/176 - 1. Let x be (2 - 0)/(182/(-1729)). What is the closest to 0.2 in 0.3, 0, o, x? o Suppose -45 = 3*u + 4*x + 55, 0 = -u - 3*x - 35. Let t be (12/u)/(-1) - (-12)/(-32). What is the closest to t in 0.4, -1, 5? 0.4 Let j = -34.3817 - 1.6183. Which is the nearest to 2? (a) -4 (b) -3 (c) -2/3 (d) j c
{ "pile_set_name": "DM Mathematics" }
, -133453, -206734, -296299, -402148? -524281 What is the next term in 83076, 164849, 246622? 328395 What comes next: 8374, 8799, 9224? 9649 What is the next term in 1386315, 2772557, 4158801, 5545047, 6931295? 8317545 What is next in -3820, -6789, -9726, -12613, -15432, -18165, -20794? -23301 What is the next term in 1231162, 4924629, 11080408, 19698499? 30778902 What is the next term in -73701, -293806, -660639, -1174194, -1834465, -2641446, -3595131? -4695514 What comes next: 23676, 94854, 213524, 379686? 593340 What is the next term in 13336, 53430, 120236, 213742, 333936, 480806, 654340? 854526 What is next in -23442, -188608, -637236, -1511058, -2951806, -5101212, -8101008, -12092926? -17218698 What is next in -1516413, -1516403, -1516387, -1516365, -1516337, -1516303, -1516263? -1516217 What is next in -547, -5891, -20367, -48541, -94979, -164247, -260911, -389537? -554691 What is the next term in -105510, -210805, -316100, -421395, -526690, -631985? -737280 What is the next term in -974926, -974837, -974690, -974485? -974222 What is next in 5522010, 22088042, 49698094, 88352166, 138050258, 198792370, 270578502? 353408654 What is the next term in 6145, 12304, 18477, 24664? 30865 What is the next term in -676, -4948, -16320, -38272, -74284, -127836, -202408, -301480? -428532 What comes next: 15060, 30129, 45212, 60309? 75420 What comes next: 367769, 367639, 367505, 367367, 367225? 367079 What is next in 43966, 42539, 41114, 39691, 38270? 36851 What is next in -3403286, -3403391, -3403496, -3403601, -3403706? -3403811 What is the next term in -24625, -49372, -74381, -99784, -125713, -152300, -179677, -207976? -237329 What comes next: 11769, 23597, 35525, 47559, 59705, 71969? 84357 What is next in -3205594, -12822366, -28850312, -51289426, -80139702? -115401134 What comes next: -10825, -38865, -66905, -94945? -122985 What is the next term in -542237, -1084528, -1626807, -2169068, -2711305? -3253512 What is the next term in 51135, 51362, 51983, 53196, 55199, 58190, 62367, 67928? 75071 What is the next term in -44870, -89597, -134324, -179051? -223778 What is next in -172, -5090, -18408, -44314, -86996, -150642, -239440, -357578? -509244 What comes next: 7375, 7393, 7407, 7405, 7375, 7305? 7183 What is next in 2640, 5435, 8172, 10857, 13496, 16095, 18660? 21197 What is the next term in -340661, -681267, -1021873? -1362479 What is the next term in 101448, 202981, 304582, 406251, 507988, 609793, 711666? 813607 What is the next term in -24332535, -24332546, -24332571, -24332616, -24332687, -24332790, -24332931? -24333116 What is the next term in 1206, 14872, 51962, 124188, 243262, 420896, 668802, 998692? 1422278 What is the next term in 101922, 101963, 102040, 102171, 102374, 102667, 103068? 103595 What is the next term in 1237, 1996, 2755, 3514, 4273, 5032? 5791 What is next in -3624, -7401, -11198, -15027, -18900? -22829 What comes next: -3306446, -6612875, -9919304, -13225733, -16532162? -19838591 What comes next: 6675811, 6675810, 6675809, 6675808, 6675807? 6675806 What comes next: -495, -411, -251, -15, 297, 685, 1149? 1689 What is the next term in -350, -725, -1328, -2153, -3194, -4445, -5900? -7553 What comes next: -6035106, -12070211, -18105316? -24140421 What is next in -18723, -18510, -18159, -17670, -17043, -16278? -15375 What is the next term in -119205, -119073, -118945, -118821? -118701 What comes next: 51507, 51197, 50681, 49959? 49031 What comes next: 34355, 68654, 102947, 137234, 171515, 205790, 240059? 274322 What is the next term in -2982, -6784, -12222, -20112, -31270, -46512, -66654? -92512 What is next in 3377, 13537, 30469, 54173, 84649, 121897, 165917? 216709 What comes next: 20400, 44279, 68158, 92037? 115916 What is next in 2197699, 2197700, 2197701, 2197702? 2197703 What is next in 118456, 118887, 119318, 119749, 120180, 120611? 121042 What is the next term in 13933337, 13933344, 13933355, 13933370, 13933389, 13933412, 13933439? 13933470 What is next in 210946, 210933, 210920, 210907, 210894? 210881 What is the next term in -12129727, -12129676, -12129551, -12129316, -12128935, -12128372, -12127591? -12126556 What is next in 1019926, 2040024, 3060122, 4080220? 5100318 What comes next: -7410, -59119, -199426, -472623, -923002, -1594855, -2532474? -3780151 What is next in 644384, 644398, 644422, 644456? 644500 What comes next: 2148, 20609, 51386, 94485, 149912, 217673, 297774? 390221 What comes next: -27051, -27431, -27811, -28191, -28571, -28951? -29331 What is the next term in 73378, 588072, 1985388, 4706638, 9193134? 15886188 What is the next term in -343, -3704, -13435, -32902, -65471, -114508? -183379 What is next in -1153076, -4612103, -10377096, -18448061, -28825004? -41507931 What is the next term in 669, -2962, -9015, -17490, -28387, -41706? -57447 What comes next: -24575, -28711, -39931, -61775, -97783, -151495? -226451 What is next in 7602, 30134, 67658, 120168, 187658, 270122, 367554? 479948 What is the next term in -18773486, -18773518, -18773570, -18773642, -18773734? -18773846 What is next in 1249, -6139, -13527, -20915, -28303, -35691? -43079 What is the next term in -901, -366, 103, 506, 843, 1114? 1319 What is the next term in -962544, -962545, -962546, -962547, -962548? -962549 What is next in 4503, 8433, 12359, 16281? 20199 What is next in 15357, 15271, 15195, 15135, 15097? 15087 What comes next: 175654, 352042, 528426, 704806, 881182, 1057554? 1233922 What is the next term in -3671, -7480, -11377, -15362? -19435 What is next in 53635476, 53635474, 53635472? 53635470 What is next in 2154, 8563, 19026, 33357, 51370? 72879 What comes next: -13050, -13152, -13338, -13620, -14010, -14520, -15162, -15948? -16890 What is the next term in -243, -1366, -4447, -10470, -20419, -35278, -56031? -83662 What is the next term in -44440, -44412, -44390, -44380, -44388? -44420 What comes next: -637572, -637418, -637264, -637110, -636956, -636802? -636648 What is next in -3765, -4019, -4449, -5055, -5837, -6795? -7929 What is the next term in 417331, 834694, 1252059, 1669426, 2086795, 2504166, 2921539? 3338914 What is the next term in 13289, 14352, 16127, 18620, 21837, 25784, 30467, 35892? 42065 What is the next term in 3352925, 6705848, 10058771, 13411694, 16764617? 20117540 What is next in -11968, -11969, -12006, -12079, -12188, -12333, -12514? -12731 What comes next: -8492, -10604, -12734, -14888, -17072, -19292? -21554 What comes next: 190824, 190761, 190694, 190623, 190548, 190469, 190386? 190299 What is next in -178, -9968, -26278, -49102, -78434, -114268? -156598 What comes next: -243, 4, 409, 972, 1693, 2572? 3609 What is the next term in 427977, 855840, 1283703, 1711566? 2139429 What is next in -1039, -1402, -1925, -2608, -3451? -4454 What comes next: -5152094, -5152093, -5152092, -5152097, -5152114? -5152149 What is next in -9838, -9878, -9944, -10036, -10154, -10298? -10468 What comes next: 3467, 14029, 31643, 56309, 88027, 126797? 172619 What is next in -201836, -403805, -605764, -807707, -1009628, -1211521, -1413380, -1615199? -1816972 What is the next term in 6060952, 12121888, 18182840, 24243814, 30304816, 36365852? 42426928 What comes next: 70625915, 70625916, 70625917? 70625918 What is next in 6910253, 6910260, 6910269, 6910280, 6910293, 6910308? 6910325 What is next in -21364279, -21364291, -21364317, -21364363, -21364435, -21364539? -21364681 What is next in 64658, 74942, 85226, 95510, 105794, 116078? 126362 What is the next term in -20451, -19860, -19269, -18678, -18087? -17496 What is next in -71902, -143358, -214814, -286270? -357726 What is the next term in 633806, 633801, 633792, 633779, 633762? 633741 What comes next: 66064365, 132128729, 198193093, 264257457? 330321821 What is the next term in 9748, 6996, 4240, 1480, -1284? -4052 What comes next: -1707859, -1707840, -1707821, -1707802? -1707783 What is the next term in -209577, -838169, -1885827, -3352557, -5238365, -7543257, -10267239? -13410317 What is next in -6591, -6527, -6391, -6183, -5903? -5551 What is next in -28798, -39667, -50536, -61405? -72274 What comes next: -2927, -3075, -3213, -3251, -3099, -2667? -1865 What comes next: 6136747, 12273499, 18410251? 24547003 What is the next term in 23019333, 46038681, 69058029, 92077377?
{ "pile_set_name": "DM Mathematics" }
late s(l(r)). 676*r**4 Let d(v) = -4*v. Let z(n) = -142*n**2 - 185*n**2 + 3*n - 3*n + 302*n**2. Determine d(z(b)). 100*b**2 Let t(p) = -33480*p**2 + 840*p - 280. Let a(y) = 360*y**2 - 9*y + 3. Let q(b) = -280*a(b) - 3*t(b). Let o(x) = -2*x. Determine q(o(z)). -1440*z**2 Let l(i) = -103*i**2 - 513. Let m(b) = 2*b. Give l(m(q)). -412*q**2 - 513 Let k(o) = 11*o**2. Let s(v) = -107 + 107 + 13*v. Determine k(s(l)). 1859*l**2 Let n(d) = -3*d. Let u(i) = -270142*i. What is n(u(o))? 810426*o Let k(r) = r**2. Let y(t) = t**3 + 3*t**2 - 7*t - 7. Let f be y(12). Let l(a) = -f*a + 2069*a - 46*a**2. What is l(k(c))? -46*c**4 Let c(a) = -2262*a - 59. Let v(q) = -q. Determine c(v(y)). 2262*y - 59 Let g(y) be the first derivative of 0*y**3 - 3 - y + 0*y**2 + 1/12*y**4. Let x(w) be the first derivative of g(w). Let j(h) = -5*h**2. Calculate x(j(a)). 25*a**4 Let o(h) be the second derivative of 8*h**4/3 + 4*h + 6. Let j(t) = -2*t**2. Calculate o(j(w)). 128*w**4 Let j(v) = 4*v. Let h(g) = 20*g - 16. Let x(n) = 2*n - 7. Let b(u) = -u + 3. Let o(z) = -5*b(z) - 2*x(z). Let f(s) = h(s) - 16*o(s). What is j(f(t))? 16*t Let w(g) = 13*g - 3. Let y(u) = 36*u + 23. Determine y(w(k)). 468*k - 85 Let r(f) = -84*f**2. Let h(m) = 83*m**2. Give h(r(y)). 585648*y**4 Let k(r) = 8*r + 40. Let f(q) = 8*q**2 - 99*q. What is k(f(l))? 64*l**2 - 792*l + 40 Let v(b) = -133*b**2 - 138*b**2 + 400*b**2 - 130*b**2. Let x(y) = -8*y. Determine v(x(k)). -64*k**2 Let y = 6 + -9. Let i = 2 - y. Let v(j) = -j - j + i*j. Let c(b) = b**2. Give c(v(f)). 9*f**2 Let y(x) be the first derivative of -x**2/2 - 188. Let o(q) = 75*q**2. Let h(a) = 19*a**2. Let l(b) = 15*h(b) - 4*o(b). What is l(y(t))? -15*t**2 Let o(x) = 689*x. Let f(r) = -9*r**2 + 2*r + 2. Let g(d) = -41*d**2 + 9*d + 9. Let z(q) = 9*f(q) - 2*g(q). Determine z(o(n)). 474721*n**2 Let s(z) = 5*z. Let r(q) be the second derivative of -9*q**4/4 + 120*q + 2. Calculate r(s(g)). -675*g**2 Let q be (2/4)/(3/12). Suppose -q - 2 = -d. Let y(g) = g**2 - d*g**2 - g**2. Let z(c) = 2*c. Give y(z(n)). -16*n**2 Let k(r) = -r**2. Let d(t) = t**2 + 1. Let q(x) = 3*x**2 + 2. Let j(i) = 14*d(i) - 7*q(i). Determine j(k(u)). -7*u**4 Let g(t) = 117*t**2. Let x(l) = -469*l. What is g(x(f))? 25735437*f**2 Let k(r) = -5*r**2 + 7 - 7. Let p be (-22)/2*2/(-2). Let o(j) = p*j - 3*j - 9*j. Give k(o(d)). -5*d**2 Let i(q) = 46*q**2 + 1101*q. Let t(b) = b. Calculate t(i(k)). 46*k**2 + 1101*k Let n(s) = 322*s. Let z(l) = l + 164. Calculate z(n(g)). 322*g + 164 Let h(z) be the third derivative of -z**5/60 + 373*z**2. Let l(o) = 15*o**2 + 2*o. Give h(l(x)). -225*x**4 - 60*x**3 - 4*x**2 Let h(o) = 42*o. Let d(b) = 504*b - 173*b - 167*b - 165*b. Calculate d(h(i)). -42*i Let i(y) = -2*y**2 - 21885*y. Let j(h) = 2*h**2. What is i(j(z))? -8*z**4 - 43770*z**2 Let k(c) = 1704*c - 2. Let i(f) = -7*f. Give k(i(h)). -11928*h - 2 Let m(n) be the third derivative of n**4/24 - 2*n**2 - 53*n. Let f(u) = -12*u**2 + 2. Determine m(f(y)). -12*y**2 + 2 Let g(p) = -2*p - 9. Let s(b) = 3*b + 15. Let h(u) = -5*g(u) - 3*s(u). Let y(c) = -2*c**2 - 96*c. Give h(y(i)). -2*i**2 - 96*i Let m(b) = 6*b. Let d(p) be the first derivative of 0*p - 1/2*p**2 - 10. What is m(d(k))? -6*k Let p(k) = 40*k. Let z(g) = 9086*g. Calculate p(z(o)). 363440*o Let w(u) = -2*u + 136903. Let i(t) = 4*t. What is w(i(b))? -8*b + 136903 Let q(k) = -2*k. Let b(y) = 4*y**3 - 4. Let z(s) = -8*s**3 + s + 7. Let u(r) = 7*b(r) + 4*z(r). Let n(h) be the second derivative of u(h). Determine n(q(a)). 48*a Let k(m) be the first derivative of -m**3/3 - 6. Let w(j) = 3*j**2 - 2*j. Let r(n) = n**2 - n. Let u(l) = -10*r(l) + 5*w(l). What is u(k(s))? 5*s**4 Let r(y) = -2*y**2 + 2*y. Let f(w) = -w**2 - 2*w. Let u(c) = f(c) + r(c). Let t(l) = -5*l**2. Determine t(u(q)). -45*q**4 Let q(z) = -1066 - z**2 + 1066. Let d(b) = 8*b. Determine d(q(r)). -8*r**2 Let k(u) = 8*u. Let d(y) = -10*y. Let v(g) = 3*d(g) + 4*k(g). Let p(l) = 351*l**2. Calculate v(p(r)). 702*r**2 Let c(a) = 3*a. Let z(h) = -115716*h**2. Determine z(c(s)). -1041444*s**2 Let i(u) = 4*u. Let h(c) be the third derivative of -7*c**5/60 + 129*c**2. Calculate i(h(m)). -28*m**2 Let s(z) = 98*z**2 - 16*z + 28. Let f(p) = -4*p**2. Determine s(f(g)). 1568*g**4 + 64*g**2 + 28 Let v(r) = 2*r**2. Let q(a) = a - 183. Determine v(q(p)). 2*p**2 - 732*p + 66978 Let d(o) = 78*o - 26*o - 22*o**2 - 26*o - 26*o. Let i(m) = -2*m - 3. Let q(k) = 3*k + 4. Let f(n) = -4*i(n) - 3*q(n). Calculate d(f(y)). -22*y**2 Let y(z) = z**2. Let j(w) = w**2 - 2*w + 60032. Determine j(y(k)). k**4 - 2*k**2 + 60032 Let t(i) = 6*i**2 + 15*i. Let h(f) = 105*f**2 - 143*f**2 + 37*f**2. What is t(h(s))? 6*s**4 - 15*s**2 Let u(q) be the second derivative of 5*q**4/12 + 765*q. Let t(w) be the first derivative of 2*w**3/3 - 1. Determine u(t(n)). 20*n**4 Let u(w) = -3*w. Let z(r) = 145*r - 15. Let l(k) = -2*k + 1. Let d(s) = 30*l(s) + 2*z(s). What is u(d(v))? -690*v Let k(i) = 17 - 17 - 3*i**2. Suppose 5*z + 3*a = 5, -3*z - 2*a + 10 = 2*z. Let y(g) = -z*g + 4 - 4 + 0. Give y(k(n)). 12*n**2 Let i(p) = 2*p**2. Let j(r) be the second derivative of -r + 3/2*r**3 + 0*r**2 + 0. Give i(j(q)). 162*q**2 Let x(z) = 22*z - 6*z - 2 + 5*z + 40*z. Let i(w) = 2*w**2. What is x(i(r))? 122*r**2 - 2 Let n(c) = 4548*c. Let v(a) = -2*a - 1. Calculate v(n(w)). -9096*w - 1 Let w(t) be the first derivative of 14*t**2 + 209. Let o(u) = 2*u + 3*u - 4*u. Give o(w(p)). 28*p Let o(w) = -w**2 - w + 6. Let j be o(0). Suppose j*f - 5 = 5*f. Let s(p) = 7*p**2 + 5 + 0 - f. Let g(k) = 2*k**2. What is s(g(v))? 28*v**4 Let r(m) = -5*m. Suppose -4*y + 5*n + 412 = 0, 5*y - n - 552 = -4*n. Let a(c) = 4*c - 22. Let s be a(6). Let x(q) = 2*q - y*q**2 + 107*q**2 - s*q. Give r(x(k)). 5*k**2 Let i(b) = -b**2 + 435*b + 2. Let r(x) = 5*x. Give r(i(t)). -5*t**2 + 2175*t + 10 Let o(g) be the second derivative of -g**5/15 + 11*g**2 + 11*g. Let m(z) be the first derivative of o(z). Let b(c) = c**2. Calculate m(b(v)). -4*v**4 Let r(l) = l**2 + 226. Let a(o) = 2*o**2 + 9*o - 3. Let w(d) = -5*d**2 - 24*d + 8. Let f(m) = 8*a(m) + 3*w(m). What is r(f(x))? x**4 + 226 Let m(x) be the second derivative of 0*x**2 - 2/3*x**3 + 0 + 4*x. Let u(a) = 5*a. Determine m(u(p)). -20*p Let q(g) be the third derivative of g**4/8 + 10*g**2. Let t(d) be the third derivative of 11*d**5/60 - 16*d**2. What is q(t(a))? 33*a**2 Let g(m) = -2*m. Let j(h) be the second derivative of -11*h**7/840 + 7*h**4/12 + 8*h. Let d(b) be the third derivative of j(b). Determine d(g(r)). -132*r**2 Let r(w) = -3*w. Suppose 6*u = 8*u + 2. Let p be u - 0/2 - -15. Let s(t) = -p - t**2 + 14. Calculate s(r(m)). -9*m**2 Let j(t) = 7*t - 12. Let w(s) = 48*s - 81. Let v(b) = 27*j(b) - 4*w(b). Let f(u) = -5*u - 8. Calculate f(v(z)). 15*z - 8 Let l(w) = w**2 + w. Let s(m) = -m**2 - 2*m. Let i = 71 - 67. Let n(h) = i*l(h) + 2*s(h). Let d(x) = -53*x**2. What is n(d(c))? 5618*c**4 Let x(i) = 18*i**2. Let n(f) = 154058*f**2. Determine x(n(t)). 427209612552*t**4 Let f(z) be the second derivative of -z**5/40 - 31*z**3/6 + z. Let s(a) be the second derivative of f(a). Let l(m) = 3*m**2. Calculate s(l(x)). -9*x**2 Let s(n) = -9890*n. Let x(g) = 3*g. Calculate s(x(k)). -29670*k Let i(q) = -13*q - 8*q - 3*q - 3*q. Let v(y) = 4*y**2. Calculate i(v(a)). -108*a**2 Let h(s) = -s**2. Let v(n) = -12*n + 28154. Give v(h(a)). 12*a**2 + 28154 Let z(u) be the second derivative of -5*u**4/4 + 11*u**2 - 34*u. Let s(v) be the first derivative of z(v). Let w(k) = 2*k**2. Give s(w(l)). -60*l**2 Let b(v) = -12*v. Let k(j) = 22*j. Let g(l) = 5*b(l) + 2*k(l). Let a(x) be the second derivative of x**3/3 + x. Give g(a(m)). -32*m Let r(c) = -38*c**2. Let j(s) = 13*s**2. Let l(w) = -17*j(w) - 6*r(w). Let h(z) = -3*z. What is h(l(d))? -21*d**2 Let w(x) = -58*x**2. Let y(n) = 3703*n. Calculate y(w(q)). -214774*q**2 Let q(u) = 173*u**2. Let z(v) = 3*v**2 + 7. Give q(z(w)). 1557*w**4 + 7266*w**2 + 8477 Let k(a) = 4*a**2 + 2*a. Let g(c) = c**2 + 2. Let x(p) = -p**2 - 4. Let l(w) = -10*g(w) - 5*x(w). Calculate l(k(f)). -80*f**4 - 80*f**3 - 20*f**2 Let k(g) = 5*g**2. Let o(l) = 231*l. Let p(f) = -46*f. Let w(s) = 2*o(s) + 11*p(s). Determine w(k(q)). -220*q**2 Let p be 10*1/(-2)*-1. Let z(l) = -13 - p + 18 - 2*l. Let b(f) = -f. Determine z(b(d)). 2*d Let z(v) =
{ "pile_set_name": "DM Mathematics" }
of o and 7/11. 77 Suppose 2*i = 3*h + 11, -4 - 1 = h - 2*i. Find the common denominator of (-8)/(-14) - (2 + h) and 122/(-44) + 1/(-2). 77 Calculate the common denominator of -47/24 and 6/198*(4/(-2) + 48). 264 Let u = 69432165827/21884646 + -1/1563189. Suppose 1323 + 1852 = -n + 4*c, n + 3170 = -c. Let w = n + u. What is the common denominator of -43/18 and w? 126 Let l = -321 - -1305/4. What is the common denominator of -39/5 and l? 20 Find the common denominator of (-4)/6 - 190/12 and -87/22. 22 Let y = -35330671/947 + 37308. Let a = -57722/8523 - y. Calculate the common denominator of a and 2/7. 63 Calculate the least common multiple of 4 and (24/2)/(-4) + 21. 36 Let q be (2/6)/((-1)/(-9)). Suppose 4*h = u + 3*u - 112, q*h = 2*u - 60. Find the common denominator of (2/u)/((-1)/206) and 24/7. 42 Let j = 6592/13 + -966671/1911. Let w = j - 4/441. Calculate the common denominator of 96/15 + (-1 - -3) and w. 45 Let t = -13 - -18. Suppose 3*x - 5*i = 44, 0 = x - t*x - 4*i + 16. What is the smallest common multiple of 22 and x? 88 Let m = -6971/10 + 698. Find the common denominator of (6/(-20))/(44/605) and m. 40 Let q be 5/(0 - (-2)/8). Find the common denominator of 3/18*(-642)/q and 103/14. 140 Let u = -316219/22 - -14378. Calculate the common denominator of u and -55/18. 198 Let l = -8 - -30. Let g(z) = -z**3 + 5*z**2 + z - 4. Calculate the least common multiple of l and g(4). 176 Let v(z) = 3*z + 1. Let s be v(5). Suppose 0 = 3*m - m - s. What is the smallest common multiple of 11 and m? 88 Find the common denominator of (2 - 0) + (3 - -4) and (-2)/10*15/(-6). 2 Let x = 983 - 6007/6. Calculate the common denominator of x and -19/22. 66 Let b(g) = -g**3 + 3*g**2 - 3*g + 4. Let c be b(3). Let t = -147 - -85. Calculate the lowest common multiple of t/c + (-4)/10 and 4. 12 Suppose -5*c - 69 = 141. Let w = -587 + 1729/3. What is the common denominator of w and 1/(-3) - (-328)/c? 21 Let z = -1453/4 - -4493/12. Find the common denominator of z and (50*(-2)/(-48) - 2)*7. 12 Let k(s) = 8*s - 40. What is the smallest common multiple of k(15) and 20? 80 Let w(y) = -y**3 - 6*y**2 + 1 - 2*y**2 + 10*y - 2*y**2 + y**2. Let f be w(-10). Find the common denominator of f + ((-41)/2 - 1) and -11/2. 2 Let o = 127/15 + -95/12. Find the common denominator of (-1)/1 - (5445/(-70))/11 and o. 140 Let s(o) = -3*o**2 + 11*o - 2. Let v be s(5). Calculate the common denominator of -45/2 and 1444/(-198) + (-4)/v. 18 Suppose 3*w - 10 = -1. Suppose -3*q - w*d = -261, 7*q - 265 = 4*q + d. Find the common denominator of 6/24 - (-378)/q and 24/5. 55 Let r be (2208639/(-432))/((-6)/(-164)). Let n = r - -139747. Let m = -20/27 + n. Calculate the common denominator of m and -39/20. 40 Let h = 1 - -7. What is the least common multiple of 18 and h? 72 Let y = 180635/12 - 15044. Find the common denominator of y and 4/33. 132 Let a = 47 + -27. Let f = -8 - -28. Suppose -2*y - f = -7*y. Calculate the least common multiple of y and a. 20 Suppose 0 = -5*u + 2*r + 344, u - 3*r + 29 = 90. What is the lowest common multiple of ((-8)/(-20))/(2/u) and 2? 14 Let v(o) = -6 + 3*o - o - 4. What is the smallest common multiple of 18 and v(9)? 72 Let d = -13969/414 + 624/23. What is the common denominator of (-40)/(-8) + (-639)/(-36) and d? 36 Let d be (-12470)/(-144) - (-4)/(-18). Let h = d + -339/4. What is the common denominator of 55/6 and h? 24 Suppose 0 = -3*h + 5*d + 7, -4*h + 0 + 1 = -5*d. Let a be 9/h*(-40)/(-3). Find the common denominator of (-1 + 74 + 0)/a and -91/10. 20 Suppose -5*l = -0*l. Suppose 0 = -l*x - 5*x + 80. What is the smallest common multiple of x and 12? 48 Suppose -j + 8 = 2. What is the lowest common multiple of 20 and j? 60 Let n(y) = -7*y - 1. Let d be n(2). Let p = d - -21. What is the lowest common multiple of 7 and p? 42 Let s be 2 + 0 + (-7 - -9). Suppose 0 = -3*p + s + 5. What is the lowest common multiple of p and 6? 6 Let f = -9 + 9. What is the lowest common multiple of (4/2 - -2) + f and 16? 16 Let k(b) = 16*b. Let s(h) = h**2 - 8*h + 1. Suppose -q = -2*q + 8. Let o be s(q). What is the lowest common multiple of k(o) and 8? 16 Suppose d + i - 23 = -3*i, -4*i + 2 = -2*d. Calculate the lowest common multiple of d and 8. 56 What is the common denominator of 66/(-28) - (17 + -16) and 3/8? 56 Suppose 3*j - 4*r + 1016 = j, -4*j + 4*r = 2032. Find the common denominator of j/(-48) + 2/8 and -95/12. 12 Let a = -631/5 - -1181/10. Let k = 6/4795 + 436201/115080. Calculate the common denominator of k and a. 120 What is the smallest common multiple of 118 and ((-104)/(-39))/(2/6)? 472 Let p = -25 + 28. What is the least common multiple of 57/p + (-9)/3 and 12? 48 Let d(u) = 6*u**3 + 8*u**2 - 11*u - 5. Let z be d(-7). Let m be 6/45*(z + 1). Let k = m - -16537/80. Find the common denominator of k and 43/14. 112 Suppose 2*g + 0*g = 44. What is the least common multiple of g and 4? 44 Suppose 13 = 2*j + 7. What is the lowest common multiple of j and 6? 6 Let g = -1022 - -16357/16. Let k = -5799 - -127635/22. What is the common denominator of k and g? 176 Let f = 2911465 + -1909017. Let w = 216529837/216 - f. Let c = 2/27 - w. Find the common denominator of 33/10 and c. 40 What is the common denominator of 27/4 and 46*-1*1/3? 12 Let c(p) = -p**2 + 5*p + 6. Let o(b) = -b**2 - 5*b - 2. Let r be o(-3). Suppose 0 = y - r*y + 18. What is the smallest common multiple of c(5) and y? 6 Let t be 4/26 + 1424000/(-9252620). Let a = t + -2384293/640566. Calculate the common denominator of 81/4 and a. 36 Suppose -2*n = -13 - 5. Suppose -5*k + 5 = 5*h, -5*k + 8 = 3. Suppose -2*x + 30 - 10 = h. What is the least common multiple of n and x? 90 Let a be ((-2)/(-6))/((-4)/(-72)). Suppose 11*l - 10 = a*l. Calculate the least common multiple of 16 and l. 16 Let f = 18 - 18. What is the common denominator of -33/7 and (f - (-4)/(-40))*-59? 70 Let h be -2*((-7)/1 + 2). Let w = -301 + 122. Calculate the common denominator of w/(-45) - 2/h and -13/7. 63 Let g(s) = 3*s - 7. Let d be g(5). Suppose -5*q + d = -2. Suppose -5*x = -f + 11, 0 = 2*x - 7*x - 10. Calculate the least common multiple of f and q. 2 Let y = 126333 + -1371723715/10858. Let f = -803483/97722 + y. What is the common denominator of f and -83/4? 36 Let l = -2 - -4. Suppose l*s - 27 = -s. Calculate the smallest common multiple of s and 6. 18 What is the common denominator of ((-3)/(-21))/((-8)/296) and (-94)/20 + (2 - 2)? 70 Let a = -43 - -109/4. What is the common denominator of -45/44 and a? 44 Let n(z) = -6*z**2 - 7. Let o(p) = -5*p**2 - 7. Let r be 4/6 - 19/(-3). Let d(b) = r*o(b) - 6*n(b). Calculate the lowest common multiple of 20 and d(-5). 180 Let z be (-2)/8 + 34/8. Let p = -5 + 5. Suppose p - z = 4*y, 2*y = 5*l - 32. Calculate the lowest common multiple of 4 and l. 12 Let t = 2 - 0. What is the common denominator of 81/22 and (t/(-110))/((-8)/580)? 22 Let z = 16679/6 - 2803. Find the common denominator of z and 56/9. 18 Suppose k + k = -5*o + 110, 5*k = -5*o + 95. What is the lowest common multiple of o and 3? 24 Suppose -n - 1 = 0, 3*i + 2*i + 3958 = -3*n. Let d = i + 13432/17. Find the common denominator of d and -37/4. 68 Let x = -17 + 9. Let k = x - -26. What is the smallest common multiple of 36 and k? 36 Suppose 4*r - 15 = v - 61, -r + 133 = 4*v. Suppose -2 = -2*j + v. What is the smallest common multiple of j and 10? 90 Suppose f - 59 + 56 = 0. What is the smallest common multiple of 9 and f? 9 Suppose 0 = -3*c - c + 40. Calculate the smallest common multiple of c and 2. 10 Let n = -7 + 8. What is the lowest common multiple of 9 and (21/(-9) + n)*-3? 36 Let t = -537/115 - -204/23. What is the common denominator of -23 and t? 5 What is the common denominator of 37/2 and 131/(-24) + 1/3? 8 Let y(a) = -a**2 - 8*a - 6. Let b = 19 - 13. Calculate the least common multiple of b and y(-6). 6 Suppose 0*v + 5215 = 5*v. Let x = v + -11487/11. Calculate the common denominator of x and (-121)/10 + 6/(-12). 55 Let a = 77977/18 - 4328. What is the common denominator of a and 34/(-119) - (-254)/56? 36 Suppose 4*i + 111 = 31. What is the common denominator of (-12)/(-20) - (-422)/i and -1/2? 2 Let q be ((-2)/(-41))/((-60)/(-1447)). Let l be (-2)/(-8)*(-8)/(-205). Let p = q - l. What is the common denominator of p and 109/20? 6
{ "pile_set_name": "DM Mathematics" }
0 + 4/7*x**r + 2/7*x. -2*x*(x - 1)**3*(x + 1)/7 Let g(y) = -3*y**2 - 3*y. Let w(s) = 2*s**2 + 2*s. Let l(p) = -6*g(p) - 7*w(p). Factor l(f). 4*f*(f + 1) Let z(x) be the first derivative of -x**4 - 8*x**3/3 - 2*x**2 + 3. What is g in z(g) = 0? -1, 0 Let s = 20 - 15. Let b(l) be the first derivative of 0*l**3 + 1/2*l**s + 0*l + 1/4*l**4 + 0*l**2 - 1. Factor b(o). o**3*(5*o + 2)/2 Let x be 0 - (15/21 + -1). Let c = -114 - -116. Determine q so that x*q - 4/7 + 2/7*q**c = 0. -2, 1 Solve -3*r**3 + 4*r**4 + 4*r**2 - r**3 - r**2 - 3*r**4 = 0 for r. 0, 1, 3 Factor 6*f**5 + f**4 - 3*f**5 - f**3 - 2*f**5 - f**2. f**2*(f - 1)*(f + 1)**2 Let n(f) = 4*f + 14. Let o be n(-3). Factor 0 + 1/2*h**o + h. h*(h + 2)/2 Let a be 3/(-2) - (-187)/22. Factor a*x + 5*x**3 - 4 - 9*x**3 - 3*x + 4*x**2. -4*(x - 1)**2*(x + 1) Let w(t) be the first derivative of -3 + 0*t**3 + 1/48*t**4 - 3*t + 1/40*t**5 + 1/120*t**6 + 0*t**2. Let n(l) be the first derivative of w(l). Factor n(q). q**2*(q + 1)**2/4 Let u(c) be the first derivative of c**2/2 - 2*c - 1. Let p be u(5). Solve -4*d**4 + 4*d**4 + 3*d**4 - 4*d**4 - 3*d**2 + d + 3*d**p = 0 for d. 0, 1 Let o = -144 - -148. Let n(a) be the second derivative of -23/6*a**o + 0 + 9/5*a**5 + 2*a**2 + a**3 + 3*a. What is w in n(w) = 0? -2/9, 1/2, 1 Suppose -18 = -7*g - 2*g. Factor 2/3*z**3 + 4/3 + 10/3*z + 8/3*z**g. 2*(z + 1)**2*(z + 2)/3 Let x be (0 + 6/5)/(122 + -120). Find f, given that 0 - 9/5*f**3 - x*f**4 + 3/5*f**2 + 3/5*f**5 + 6/5*f = 0. -1, 0, 1, 2 Let d(i) = 4*i**5 + 4*i**4 - 4*i**3 - 12*i**2 + 8. Let p(w) = -w**5 + w**3 + w**2 - 1. Let y(f) = d(f) + 8*p(f). Suppose y(m) = 0. Calculate m. -1, 0, 1 Suppose f = -f + 4. Suppose q - 12 = -f*q. Factor 0*w**2 - 4 + 2*w**4 - q*w**2 + 4 + 2*w**3. 2*w**2*(w - 1)*(w + 2) Determine s so that 4/9*s + 0 - 2/9*s**2 + 2/3*s**4 - 8/9*s**3 = 0. -2/3, 0, 1 Let g(u) be the third derivative of -u**6/480 - u**5/24 - 25*u**4/96 + 7*u**2 + 1. Determine r, given that g(r) = 0. -5, 0 Let a = -13 + 17. Factor -18*u - 48*u**2 + 18*u**3 - 38*u**3 - 16*u**a - 24*u**3 - u**5 - u**5. -2*u*(u + 1)**2*(u + 3)**2 Suppose 22 = 5*n + 7. Let i**2 - 6*i**n + 4*i**2 - 2*i**2 = 0. What is i? 0, 1/2 Let w(a) be the third derivative of -a**7/945 + a**6/108 - 7*a**5/270 + a**4/36 + 31*a**2. Factor w(s). -2*s*(s - 3)*(s - 1)**2/9 Let l(m) be the first derivative of -m**3/12 + 5. Factor l(q). -q**2/4 Let c be (6/6)/((-2)/(-8)). Let b(x) be the third derivative of 0*x + 0*x**c + 0 + 0*x**6 + 1/9*x**3 - 1/45*x**5 - 3*x**2 + 1/315*x**7. Factor b(d). 2*(d - 1)**2*(d + 1)**2/3 Let a(j) be the first derivative of 16*j**5/5 - 4*j**4 - 4*j**3 + 8*j**2 - 4*j - 13. Find h such that a(h) = 0. -1, 1/2, 1 Let v(p) = -10*p**2 - 6*p - 5. Let y(b) be the first derivative of 11*b**3/3 + 5*b**2/2 + 6*b + 2. Let f(d) = -4*v(d) - 3*y(d). Factor f(a). (a + 1)*(7*a + 2) Factor -9/4 + 3/2*h - 3/2*h**3 + 1/4*h**4 + 2*h**2. (h - 3)**2*(h - 1)*(h + 1)/4 Let g(y) be the second derivative of y**5/4 + 5*y**4/3 + 10*y**3/3 - 4*y. Suppose g(h) = 0. Calculate h. -2, 0 Let f(p) = -5*p + 53. Let l be f(10). Let u(k) be the second derivative of 0*k**2 + 1/24*k**l - 1/80*k**5 + 0*k**4 + 3*k + 0. Factor u(q). -q*(q - 1)*(q + 1)/4 Suppose -27*a - 3 + 84 = 0. Solve -2/5*f + 0 - 2/5*f**4 + 2/5*f**2 + 2/5*f**a = 0. -1, 0, 1 Let p = -3 - -15. Let s be 26/6 - p/36. Determine h, given that -3/4*h**2 - 1/4*h**s + 0 + 1/4*h + 3/4*h**3 = 0. 0, 1 Factor 9/7*c**2 - 3/7*c - 9/7*c**3 + 0 + 3/7*c**4. 3*c*(c - 1)**3/7 Let c(i) = i**4 + 3*i**3 - 4*i**2 - 3*i. Let j(k) = 3*k**4 + 5*k**3 - 8*k**2 - 7*k. Let d(b) = -7*c(b) + 3*j(b). Factor d(v). 2*v**2*(v - 2)*(v - 1) Let w = 83/70 + -9/10. Solve -2/7*h**4 - w*h**5 + 2/7*h**3 + 0*h + 0 + 2/7*h**2 = 0 for h. -1, 0, 1 Let w = -7 - -10. What is f in 8*f**3 - f + 3*f**2 - 2*f**3 - 9*f**w + f**4 + 0*f = 0? 0, 1 Factor 14/3*l**4 + 50/3*l**2 + 8/3 - 38/3*l**3 - 2/3*l**5 - 32/3*l. -2*(l - 2)**2*(l - 1)**3/3 Let g(d) = 7*d**3 + 3*d**2 - 3*d - 5. Let s(a) = -24*a - 11 + 6*a**2 + 17*a + a**3 + 14*a**3. Let w(i) = 13*g(i) - 6*s(i). Let w(h) = 0. Calculate h. -1 Let -215*p**3 + 63*p**4 + 40 - 29*p - 3*p**4 - 151*p + 15*p**4 - 10*p**5 + 290*p**2 = 0. Calculate p. 1/2, 1, 2 Let i(k) = k**3 + k**2 - k - 1. Let q = 3 - 1. Let x(z) = -z**2 + 1. Let f(u) = q*i(u) - 2*x(u). Factor f(j). 2*(j - 1)*(j + 1)*(j + 2) Let v be 9/5 - (-1)/5. What is n in -3*n**v - 2 - n + n**2 + 5*n = 0? 1 Let z = -10 - -3. Let a(x) = 5*x**3 - 5*x**2 - 4*x + 6. Let m(j) = -6*j**3 + 6*j**2 + 5*j - 7. Let y(n) = z*a(n) - 6*m(n). Solve y(l) = 0. -1, 0, 2 Let p(m) = -m**5 + m**4 + m**3 + m + 1. Let u(c) = -8*c + 3 + 2*c**3 - 4*c**5 + 0*c**3 + c**4 + 11*c. Let j(b) = -6*p(b) + 2*u(b). Find g, given that j(g) = 0. -1, 0 Let j(u) = -u**4 - u**2 + u - 1. Let l(x) = 16*x**4 + 4*x**3 + 18*x**2 - 22*x + 20. Let o(g) = 36*j(g) + 2*l(g). Factor o(d). -4*(d - 1)**3*(d + 1) Let d(p) be the second derivative of -p**10/15120 + p**9/3780 - p**7/630 + p**6/360 - p**4/2 - 5*p. Let n(j) be the third derivative of d(j). Factor n(a). -2*a*(a - 1)**3*(a + 1) Suppose 0 = -b - 5*b. Let 9*r**2 + 6 + 15*r + b*r + 0*r**2 = 0. What is r? -1, -2/3 Let q(h) be the first derivative of h**4/54 + h**3/9 + 2*h**2/9 + h + 1. Let s(c) be the first derivative of q(c). Solve s(j) = 0 for j. -2, -1 Suppose -40*p + 10 = -35*p. Let 0 + 9*l**p - 3*l**3 + 1/3*l**4 - 9*l = 0. Calculate l. 0, 3 Let h(x) be the first derivative of -x**6/1260 - x**5/420 + x**4/42 + 2*x**3/3 + 3. Let o(w) be the third derivative of h(w). Find s such that o(s) = 0. -2, 1 Let v(z) be the third derivative of 0*z + 2*z**2 + 1/100*z**6 + 1/60*z**4 + 0*z**3 - 1/525*z**7 + 0 - 1/50*z**5. Suppose v(d) = 0. What is d? 0, 1 Let g = -18 - -19. Let i(x) be the first derivative of 1/12*x**4 + 1/3*x + g + 1/2*x**2 + 1/3*x**3. Let i(r) = 0. What is r? -1 Let p(k) = 5*k**2 - 2*k. Let s(c) = -4*c**2 + c. Let t(x) = -3*p(x) - 4*s(x). Factor t(v). v*(v + 2) Let k = 1 + 12. Let i = -13 + k. Solve i*t**2 + 0 + 1/2*t**3 - 1/2*t = 0. -1, 0, 1 Suppose 4*z - 5*z = 0. Factor -12*a - 5 + 12*a**2 + z*a**2 + 9 - 4*a**3. -4*(a - 1)**3 Factor 2/9*t**2 - 2/9 + 0*t. 2*(t - 1)*(t + 1)/9 Let v(h) = -h**2 - 1. Let l(g) = -30*g**2 + 5*g - 25. Let p(y) = l(y) - 25*v(y). Find b, given that p(b) = 0. 0, 1 Let c(l) be the second derivative of -l**8/840 + l**7/140 - l**6/60 + l**5/60 - l**3/6 + 3*l. Let y(j) be the second derivative of c(j). Factor y(q). -2*q*(q - 1)**3 Let g(r) be the first derivative of -4*r**3/3 + 12*r**2 - 43. Find v, given that g(v) = 0. 0, 6 Let r(z) = -6*z**3 - 18*z**2 - 30*z - 14. Let g(x) = -31*x**3 - 89*x**2 - 149*x - 69. Let i(j) = 2*g(j) - 11*r(j). Factor i(w). 4*(w + 1)*(w + 2)**2 Let m be (3/360)/(5/10). Let v(d) be the second derivative of 0*d**2 + 0*d**4 - 3*d + 1/18*d**3 + 0 - m*d**5. Factor v(l). -l*(l - 1)*(l + 1)/3 Suppose 0 = -4*x + 3 + 13. Let j(d) be the third derivative of 0 + 0*d - 1/8*d**6 - 1/60*d**5 + 2/3*d**3 - d**2 + 1/2*d**x. Suppose j(s) = 0. What is s? -2/3, -2/5, 1 Let v(h) be the first derivative of 0*h + h**2 - 1/3*h**3 - 1. Determine s so that v(s) = 0. 0, 2 Let x(v) be the second derivative of v**8/2240 - v**7/504 - v**6/180 + v**5/30 + v**4/4 + 2*v. Let r(k) be the third derivative of x(k). Solve r(j) = 0 for j. -1, 2/3, 2 Let r(p) be the second derivative of p**5/10 - p**3 - 2*p**2 + 14*p. Factor r(q). 2*(q - 2)*(q + 1)**2 Let c(m) be the third derivative of -m**6/120 - 2*m**2. Factor c(s). -s**3 Let b(t) = 5*t**3 + 8*t**2 + 7*t - 2. Let d(w) = -20*w**3 - 31*w**2 - 29*w + 9. Let k(o) = 9*b(o) + 2*d(o). Let k(q) = 0. Calculate q. -1, 0 Suppose 2*v - 2 = -4*u, 0 = u - 2*u - 2. Suppose -v*l - 5*p = 0, 0*l = 5*l - 2*p - 21. Suppose -6/5*w**4 + 4/5*w**2 + 2/5 - 8/5*w + 8/5*w**l = 0. Calculate w. -1, 1/3, 1 Let z(h) be the second derivative of -h**8/23520 + h**7/8820 - h**4/4 - h. Let o(g) be the third derivative of z(g). Factor o(b). -2*b**2*(b - 1)/7 Let a(z) be the first derivative of -z**5/30 + z**4/6 + z**3 - 3*z**2/2 + 1. Let h(o) be the second derivative of a(o). Let h(m) = 0. Calculate m. -1, 3 Factor 1/5*w**4 - w**3 - 4/5*w + 8/5*w**2 + 0. w*(w - 2)**2*(w - 1)/5 Let c = -23 - -26. Suppose -w + 1 = x, -13 = -2*x - c*x - w. Find a, given that 8/5*a**x - 2/5 + 8/5*a - 2/5*a**4 - 12/5*a**2 = 0. 1 Let f(u) be the third d
{ "pile_set_name": "DM Mathematics" }
letters picked without replacement from {v: 5, u: 4, o: 1, b: 2, q: 2, c: 1}? 2/1365 Calculate prob of picking 2 y and 1 t when three letters picked without replacement from yhhyyth. 3/35 Two letters picked without replacement from {r: 18, i: 1}. Give prob of picking 2 r. 17/19 Calculate prob of picking 4 c when four letters picked without replacement from pcpccpcccpcccppcpcpp. 22/323 Calculate prob of picking 1 d, 1 i, 1 o, and 1 m when four letters picked without replacement from ddxqmxqiqiioqoioiiqx. 12/1615 Four letters picked without replacement from {u: 3, c: 5}. What is prob of picking 2 c and 2 u? 3/7 Two letters picked without replacement from pvzssssitipz. What is prob of picking 1 z and 1 p? 2/33 Calculate prob of picking 1 g and 2 v when three letters picked without replacement from ggvgv. 3/10 Two letters picked without replacement from roirircnrtionrrrr. Give prob of picking 1 n and 1 t. 1/68 What is prob of picking 1 g and 2 a when three letters picked without replacement from raeesag? 1/35 What is prob of picking 2 o when two letters picked without replacement from {v: 12, o: 7}? 7/57 What is prob of picking 1 t, 1 g, and 1 d when three letters picked without replacement from {l: 1, t: 1, g: 2, i: 10, d: 3}? 3/340 Two letters picked without replacement from oororrorrrrrrrrozrrz. Give prob of picking 1 z and 1 o. 1/19 Calculate prob of picking 3 p when three letters picked without replacement from {w: 6, p: 4}. 1/30 What is prob of picking 2 y when two letters picked without replacement from dyyyyydyydydddyddd? 4/17 Two letters picked without replacement from cgfgffcfcgcgccc. Give prob of picking 1 g and 1 c. 4/15 Three letters picked without replacement from {o: 5, g: 2, m: 1, z: 4, x: 3, e: 5}. What is prob of picking 1 m and 2 z? 1/190 Two letters picked without replacement from iaaaaia. Give prob of picking 1 a and 1 i. 10/21 Three letters picked without replacement from {s: 1, y: 3, q: 5, x: 3}. What is prob of picking 1 q, 1 x, and 1 y? 9/44 Calculate prob of picking 2 c and 1 l when three letters picked without replacement from {n: 2, f: 2, l: 3, c: 5}. 3/22 Four letters picked without replacement from oaooaazaazaaaaoa. Give prob of picking 2 a and 2 z. 9/364 Four letters picked without replacement from {c: 2, v: 1, d: 4, m: 3, b: 3, h: 2}. What is prob of picking 2 m and 2 d? 6/455 Two letters picked without replacement from sssjjksssskjjssj. Give prob of picking 1 j and 1 k. 1/12 Four letters picked without replacement from {i: 2, f: 2, w: 1, v: 5, b: 4}. What is prob of picking 4 v? 5/1001 Calculate prob of picking 2 m when two letters picked without replacement from {m: 3, s: 1, x: 2, k: 1}. 1/7 What is prob of picking 2 o and 2 b when four letters picked without replacement from {b: 3, o: 2}? 3/5 What is prob of picking 1 g, 1 t, and 1 r when three letters picked without replacement from {r: 4, g: 3, f: 2, b: 3, t: 7}? 28/323 What is prob of picking 2 p and 1 q when three letters picked without replacement from bppbbqqkup? 1/20 Four letters picked without replacement from xuxuxxxxxxxqqx. Give prob of picking 1 q and 3 x. 240/1001 Three letters picked without replacement from {f: 3, t: 7, y: 4, m: 4, u: 1}. What is prob of picking 2 f and 1 u? 1/323 What is prob of picking 1 m and 1 o when two letters picked without replacement from offeemfffoeemfoffeo? 8/171 Calculate prob of picking 3 l when three letters picked without replacement from fbkzlzflfbyflzbzz. 1/680 Three letters picked without replacement from {l: 3, a: 11, o: 4}. Give prob of picking 3 o. 1/204 Calculate prob of picking 2 d when two letters picked without replacement from {c: 4, z: 4, x: 1, d: 6}. 1/7 What is prob of picking 1 r and 1 m when two letters picked without replacement from {s: 1, m: 1, f: 1, r: 2}? 1/5 Four letters picked without replacement from wwwgwgwwgggw. Give prob of picking 4 w. 7/99 What is prob of picking 2 y and 1 r when three letters picked without replacement from {y: 4, r: 1, j: 2, f: 3, c: 1}? 2/55 Four letters picked without replacement from {f: 4, z: 6, k: 10}. What is prob of picking 1 z and 3 f? 8/1615 Two letters picked without replacement from zmccziy. What is prob of picking 1 i and 1 y? 1/21 Calculate prob of picking 2 t, 1 j, and 1 k when four letters picked without replacement from krkjtkjk. 0 Three letters picked without replacement from oooxeoeeeexxopp. Give prob of picking 2 e and 1 p. 4/91 What is prob of picking 2 j and 1 x when three letters picked without replacement from {j: 2, x: 3}? 3/10 What is prob of picking 1 w and 1 k when two letters picked without replacement from {p: 1, i: 1, w: 1, k: 5, e: 1}? 5/36 What is prob of picking 3 m when three letters picked without replacement from {m: 5, a: 14}? 10/969 Three letters picked without replacement from kkkpkkp. What is prob of picking 1 k and 2 p? 1/7 Two letters picked without replacement from mmmuumdqzqzuuq. Give prob of picking 1 d and 1 z. 2/91 Two letters picked without replacement from {c: 1, e: 2, f: 1, r: 7, h: 2, s: 1}. What is prob of picking 1 s and 1 h? 2/91 Calculate prob of picking 2 j when two letters picked without replacement from {j: 2, h: 3, s: 1, i: 3, z: 1}. 1/45 Calculate prob of picking 1 g and 3 i when four letters picked without replacement from ukiuigiuuuiuiii. 1/39 Calculate prob of picking 2 c when two letters picked without replacement from ccccc. 1 What is prob of picking 1 x and 1 a when two letters picked without replacement from kxoxdannxddadnx? 8/105 Calculate prob of picking 2 e when two letters picked without replacement from {e: 9, d: 5}. 36/91 Three letters picked without replacement from {d: 3, c: 2, e: 3, n: 10}. What is prob of picking 3 e? 1/816 Calculate prob of picking 2 m, 1 t, and 1 n when four letters picked without replacement from {j: 2, n: 4, m: 1, d: 2, t: 2, b: 1}. 0 What is prob of picking 1 l and 1 h when two letters picked without replacement from ehlxl? 1/5 What is prob of picking 1 g and 1 b when two letters picked without replacement from gegggfbgfgbg? 7/33 Four letters picked without replacement from cccasctttccssts. What is prob of picking 2 t, 1 a, and 1 s? 8/455 Three letters picked without replacement from soossoossssoo. What is prob of picking 2 o and 1 s? 105/286 Calculate prob of picking 1 e, 1 b, and 1 d when three letters picked without replacement from {e: 5, b: 2, j: 1, c: 1, k: 2, d: 5}. 5/56 Calculate prob of picking 3 p when three letters picked without replacement from {o: 4, b: 4, h: 1, p: 3, a: 2}. 1/364 Three letters picked without replacement from {j: 1, g: 4, n: 1, h: 4}. Give prob of picking 1 h, 1 n, and 1 g. 2/15 Four letters picked without replacement from {u: 4, s: 6}. Give prob of picking 4 s. 1/14 Calculate prob of picking 2 a when two letters picked without replacement from {w: 2, s: 4, a: 3}. 1/12 Calculate prob of picking 2 t when two letters picked without replacement from {n: 5, j: 1, f: 1, t: 2, o: 2, w: 4}. 1/105 Two letters picked without replacement from {t: 1, i: 10, r: 3, p: 3, h: 1, n: 1}. What is prob of picking 2 i? 5/19 Two letters picked without replacement from {l: 10}. What is prob of picking 2 l? 1 Three letters picked without replacement from dvmqqwqwdhmmvmvd. Give prob of picking 2 q and 1 v. 9/560 What is prob of picking 1 j and 1 x when two letters picked without replacement from xjxexejxexxxxejxxx? 11/51 What is prob of picking 1 y and 1 a when two letters picked without replacement from {y: 1, a: 1, b: 2}? 1/6 Three letters picked without replacement from icppppwcwwwpcwpccc. What is prob of picking 3 w? 5/408 Four letters picked without replacement from ctjjjiiilt. What is prob of picking 2 i, 1 j, and 1 t? 3/35 What is prob of picking 1 q and 1 u when two letters picked without replacement from {w: 1, y: 2, u: 1, o: 2, j: 2, q: 1}? 1/36 What is prob of picking 2 r when two letters picked without replacement from rlr? 1/3 What is prob of picking 2 g and 1 z when three letters picked without replacement from aagfgfzt? 1/56 Three letters picked without replacement from {v: 9, i: 6, o: 2}. What is prob of picking 1 o, 1 i, and 1 v? 27/170 What is prob of picking 2 f when two letters picked without replacement from {f: 3, d: 1, s: 1, g: 3, b: 3, e:
{ "pile_set_name": "DM Mathematics" }
-1 - -7 - (-20 + 28). -2 What is the value of -8 - (-4 + (0 + -6 - -5))? -3 -1 - 3 - (44 - 43) - -2 -3 What is the value of 4 + (0 + (-2 - -2) - 4)? 0 What is the value of -25 - -27 - (-3 - 1)? 6 What is the value of 1 - -3 - (0 - -4) - -5? 5 What is 13 + (-16 - -7) - 9? -5 What is 1 + 2 + 1 - (104 - 102)? 2 Evaluate -2 - (0 + 2 + 1 - 2). -3 -13 - -2 - (-5 + 1 + -2) -5 Calculate -8 + 0 + 22 - 8. 6 What is 1 + (-6 - -3) + 2 - -4? 4 Evaluate 4 - (-2 + -3 + (1 - -7)). 1 What is the value of -4 + (2 - ((0 - 4) + -1))? 3 Evaluate 0 + (-1 - -1 - (1 + -2)). 1 Evaluate (3 - -2 - 2) + -3. 0 Calculate 1 + -1 - (-21 + (35 - 9)). -5 What is -10 + (-15 - -34 - 6)? 3 Calculate -3 + 2 + 3 + 3. 5 What is the value of 1 + -5 + (7 + -3 - 3)? -3 Calculate 2 + (9 - 8) + -12. -9 (-7 + 13 - (0 + 4)) + 4 6 -1 + (4 - 6 - (1 - 0)) -4 What is (1 - 2) + -3 + 6 + -3? -1 Evaluate -1 + 0 + -1 + 39 + -38. -1 What is the value of 12 + -9 + -1 - -6? 8 Calculate (1 - -2) + -8 + 6. 1 What is the value of 7 - 6 - 2 - (1 - 1)? -1 Evaluate (2 - 2) + -7 + (4 - 0). -3 (-1 - -1) + (-2 - (-8 + 10)) -4 What is the value of 5 + (-6 + -1 + 1 - -3)? 2 What is -4 + (4 - (3 + 8) - -2)? -9 Calculate -3 - (0 - -2) - -9. 4 Evaluate 53 - 65 - (0 + -9 + 3). -6 What is the value of 5 + -6 + 5 + (0 - -1)? 5 Evaluate (-1 + -2 - 3) + 2. -4 What is -1 + 1 + -14 + 11 + 2? -1 What is -4 - (2 - 2) - -5? 1 14 + -3 - 2 - (3 - -2) 4 (49 - 44) + (-1 - 2) - -6 8 -3 - (4 - (1 + 3)) - 3 -6 Evaluate 6 - (-1 - -10 - (-4 - -5)). -2 What is 0 + 7 + (-2 - 6) - 6? -7 What is 2 - (1 + -1 + 1 - 2)? 3 5 + 0 + -4 + (0 - 4) -3 What is the value of (-11 + 7 - -2) + -5 - -2? -5 Evaluate 10 + (12 - (14 + -3)). 11 What is (2 - 0) + 1 - 3 - 2? -2 What is 1 + (-7 - (-4 + -1)) - 5? -6 -5 - (2 + -1) - -3 -3 5 - 1 - (2 + 3) -1 Calculate 12 + (15 - 7 - 12) - 0. 8 -11 + (12 - (-13 + 12)) 2 What is the value of 3 - ((4 - -2) + (0 - -2))? -5 What is the value of -5 + (-2 - 12) + 23? 4 4 + 0 + -9 - -4 -1 What is 2 - (2 + 5 - 4) - -1? 0 What is 6 + (14 - 6) - (1 - -3)? 10 What is the value of 2 - (-1 - -1) - (-37 - -41)? -2 What is the value of 4 + (8 + -8 - (9 - 1))? -4 Evaluate -1 + -1 + -2 + 2 + 2. 0 (-4 + 6 - 10) + 2 -6 What is -10 + 13 - (2 + -3)? 4 Calculate -8 - (-7 - -3 - -1). -5 What is -5 + -7 + 15 + (3 - 0)? 6 What is 2 + 5 + -10 + -1? -4 Calculate 6 - (17 - 1 - 8). -2 Evaluate -12 - (13 - 16 - -2). -11 Evaluate 11 - 1 - 20 - -2. -8 What is 4 + -3 - 4 - (-1 - 6)? 4 Evaluate 2 + 7 + (-9 - -3) + -1. 2 Evaluate -1 + -7 - (3 + -14 + 8). -5 What is -3 - 1 - (-4 - (1 + -1))? 0 Calculate 6 + (-4 + 5 - 4). 3 Evaluate (0 - (2 - 4)) + -3. -1 (-19 - (2 - 8)) + 13 0 What is (-15 - -8) + 1 - (0 + -1)? -5 What is the value of (-6 - -8) + (1 - 6) - -3? 0 Evaluate (-28 - -19) + 1 + 12. 4 What is the value of (-8 - -1) + (29 - 24)? -2 What is the value of (-1 - 11) + 7 + 6 + 1? 2 What is (-4 + -10 - -10) + 11? 7 Evaluate -12 + 0 + (-1 - (11 + -16)). -8 Evaluate -5 + (-12 - -16) + (2 - -2). 3 What is the value of 1 + -6 + 4 - (2 + -3)? 0 What is 53 + -54 - (-1 - (0 - 1))? -1 What is -8 + (-5 - -10) + 2? -1 Evaluate (-2 - -6 - -3) + -2. 5 What is -13 - -7 - -4 - 2? -4 What is the value of 16 - 18 - 6 - (-3 + -2)? -3 Calculate -1 + 10 + 1 + 0 + -6. 4 Calculate 2 + (0 - -1 - (2 - 1)). 2 What is the value of -5 + (-8 + 4 + 5 - 2)? -6 What is 2 + (-3 - (-6 - -9)) + 11? 7 Calculate 12 + (4 - 14) - 3. -1 0 + 1 + 1 - (1 - 5) 6 What is the value of 7 - (6 + 4 + 1)? -4 Calculate -2 - 5 - (16 + (-10 - 8)). -5 What is the value of 3 - 4 - (2 + 2) - -3? -2 6 + (0 + -1 - 8) - -10 7 What is 6 + -1 + 24 + -31? -2 What is (-2 - 3) + 3 + 3 + -4? -3 Calculate -4 - (5 + -13) - 5 - 6. -7 Evaluate -12 - (-24 + 4) - (3 + -1). 6 Evaluate -4 - (-4 + (-4 - (-3 + 4))). 5 38 + -36 - (1 + 4) -3 What is the value of 2 + 0 - ((-6 - 0) + 4)? 4 What is -9 + (1 + -3 + 9 - 2)? -4 What is the value of -8 + -1 + 10 + (11 - 16)? -4 What is -2 + 1 - (3 + 2 + -2)? -4 Evaluate -2 + 7 + (-7 - -9 - 14). -7 Evaluate 3 - (-5 + 12 + -7 + -2). 5 Evaluate -6 + (1 - (3 + -3)). -5 2 + (0 - -1) - (3 - 2) 2 Evaluate -1 - (5 + -10 - (0 + -2)). 2 Evaluate 7 + -2 - (7 - (5 + -2)). 1 Calculate (2 - 1) + (-24 - -19) + 3. -1 What is (0 - 4) + 3 - 3? -4 Calculate (3 - -1) + 3 + -2. 5 What is 0 - -2 - (6 - -4 - 8)? 0 Evaluate -14 - (-11 - (4 - 1 - 9)). -9 1 + (5 - (-3 - (-2 - 2))) 5 Evaluate -5 + 3 + (-5 - -4 - 1). -4 Calculate -5 + 7 + -4 + (8 - 2). 4 What is the value of -4 + 8 + 2 + -3? 3 Calculate -5 - -2 - (-4 - -4). -3 Calculate -4 + (4 - -2) + -6 + -1. -5 What is the value of (-8 - -2) + (5 - 0)? -1 Evaluate (-4 - -1) + 4 - 5. -4 What is the value of 1 - ((3 - 4) + -3 - -6)? -1 What is the value of 10 + -3 + (4 - 6)? 5 What is -61 - -66 - (0 + 1)? 4 Calculate 3 + (-7 - -4 - -6). 6 Evaluate -7 - (3 + -8) - -3 - 0. 1 (2 - (-4 + 2)) + -8 - -4 0 What is the value of 4 + -22 - -19 - (5 + 1)? -5 What is (6 - 6) + -2 + 7 + -1? 4 Calculate 1 - (1 + (-2 - 1)). 3 Calculate 0 - (2 + -1) - (-7 + 4). 2 What is the value of (1 - -3) + -8 - 1? -5 104 + -106 + -1 + 7 4 What is the value of 0 + (3 - (-1 - 1))? 5 -4 + (9 - (3 - 0)) + 0 2 What is 7 - 14 - 2 - (-5 - 0)? -4 What is 0 + (8 - (14 - 7))? 1 0 - 0 - (1 - -2) -3 Evaluate 8 - 1 - 5 - (-1 - -4). -1 Evaluate -6 + 5 + 7 - 8. -2 2 + -2 + 5 + -3 2 Calculate (-4 - 3) + -1 - -4. -4 Evaluate -10 - (-2 - -1) - -10. 1 What is the value of -3 + 4 - (-3 - (1 - 0))? 5 What is 14 - 15 - (-1 - (-3 - -1))? -2 0 + -6 + 4 + -5 + 9 2 Evaluate -4 + 2 - (1 + -9 - -2). 4 Calculate 1 + -1 + (-41 - -44). 3 Evaluate (-1 - 2) + 22 + -22. -3 Evaluate -5 + 8 + (-13 + 6 - -2). -2 Evaluate 0 - 1 - (-8 + 5). 2 What is (3 - -2 - 5) + -5 + 2? -3 What is the value of -2 - (-1 - (3 + -8))? -6 -37 + 28 - (-7 + 1) -3 Calculate 1 + (9 + -5 - 9). -4 What is the value of 2 + -1 + 4 + -1 - 4? 0 2 - (0 + 1 - 4 - -5) 0 Calculate -1 - 1 - (-9 + -4 + 13). -2 What is the value of 15 + -12 - (7 + 1) - -1? -4 What is the value of 1 - (2 - -2 - 3)? 0 What is -8 + (-5 - (7 + -8)) + 11? -1 Evaluate -8 - (-2 - 5) - -1. 0 Evaluate -5 + 6 + (-2 - 3) + 0. -4 What is the value of -7 - (0 + -3 - 6 - -7)? -5 What is 2 + (5 + -7 - -9)? 9 What is (-2 - 0 - (-3 - 1)) + -1? 1 What is -6 - 0 - -1 - -2? -3 Evaluate (-22 - -20) + (0 - 1 - 1). -4 Evaluate 3 - (3 + 2 + -4 - -4). -2 What is -6 - -6 - (-3 - -7)? -4 Evaluate 0 + (2 - (1 - 3)). 4 Calculate (13 - (1 + 1)) + (38 - 42). 7 -3 - (4 - (-4 + 7) - -2) -6 Calculate (-1 - 5) + -4 + 6. -4 0 + 1 + -11 + 14 4 What is 158 - 170 - (-2 + -6)? -4 What is the value of 86 - 75 - (-1 - -9)? 3 What is 2 + -4 - (5 - 5)? -2 (9 + -2 - (16 - 6)) + 4 1 Evaluate (-3 - -3) + (-1 + 4 - 0). 3 -2 - (-2 + 1 - -3) - -3 -1 Calculate -5 + 10 + 0 + -4. 1 Evaluate -58 - -44 - (-9 + 0). -5 What is the value of -5 - -2 - (0 - 2)? -1 Evaluate (4 - (2 + -2)) + -1 + -2. 1 Evaluate 5 + -2 - (7 - (1 - -3)). 0 What is the value of 7 + -3 + 3 - 3? 4 What is the value of 4 - ((-4 - (-4 + 3)) + 1)? 6 What is the value of 4 + (-7 - -4 - 1)? 0 (4 + -10 - 0) + 1 -5 Calculate 2 - (-2 - -5) - -3. 2 Calculate -5 + 1 + 2 + (1 - 3). -4 Calculate (-2 - -4) + 4 + -1. 5 12 + -8 - -4 - 10 -2 What is 66 + -59 + -8 + 0? -1 Evaluate -10 + 4 + (-2 - (-11 - 4)). 7 What is the value of (3 - (-1 - -2)) + 3 + -10? -5 Calculate -7 + 3 + 1 + 2. -1 What is -1 + 3 + 5 + -4 - -2? 5 Evaluate -2 - (-2 - (-5 - -2)). -3 What is (-5 + 4 - 0) + (-6 - -2)? -5 Evaluate (-2 - 3) + -9 + 16. 2 (1 + -2 - 3) + 0 -4 0 + (0 - 3) + 0 + 5 2 What is 8 - (10 - (3 - (-6 - -2)))? 5 What is 8 - (1 + 1) - (14 + -4)? -4 Calculate -5 - -1 - (5 + -1 + -4). -4 Calculate 1 - (2 + -2 + -1). 2 (-1 - -7) + -4 + -4 -2 Calculate 1 + -7 + -2 + 3. -5 What is the value of (4 - (0 + 3)) + 2? 3 Evaluate -11 - (-10 - -6 - 3). -4 9 + -6 - (0 - -5) -2 Calculate 5 - (5 + 1 + -5). 4 What is -1 - (0 + 1 + (-8 - -3))? 3 -7 + -7 + 18 + -4 + -4 -4 39 - 30 - (0 - 1) 10 What is the value of (-2 - -2) + 1 + 0? 1 Calculate (-1 + -7 - -16) + -1 + -2. 5 Calculate (-1 - 1 - -2) + 10 + -12. -2 -9 - (2 - 8 - -1) -4 (1 - 1) + (23 - 22) 1 What is the value of (-1 + -3 - -10) + -2? 4 Evaluate -3 - 2 - (2 + 0). -7 What is the value of -4 - (2 - (2 + 0 + -1))? -5 Calculate 1 - (-3 + 5) - 2 - 1. -4 What is the value of (6 - 2) + -1 + -6? -3 Calculate -3 + 1 + (20 - 15). 3 -22 - (-6 - 2
{ "pile_set_name": "DM Mathematics" }
d without replacement from {w: 1, a: 1, z: 2, x: 3}? 1/7 Three letters picked without replacement from {g: 9, r: 9}. What is prob of sequence rrg? 9/68 What is prob of sequence cvv when three letters picked without replacement from gvgcagq? 0 Four letters picked without replacement from yyyyyyoyyoyyy. Give prob of sequence yyyo. 3/26 Two letters picked without replacement from {f: 1, y: 1, r: 2, j: 2, d: 4, c: 2}. Give prob of sequence yr. 1/66 Calculate prob of sequence jd when two letters picked without replacement from {j: 4, e: 5, d: 2}. 4/55 Three letters picked without replacement from {b: 1, j: 4, t: 6, f: 1, k: 3, l: 1}. What is prob of sequence kjk? 1/140 Three letters picked without replacement from fsjleesl. Give prob of sequence sjs. 1/168 What is prob of sequence ssnn when four letters picked without replacement from nsnsnn? 1/15 Calculate prob of sequence dudu when four letters picked without replacement from {d: 5, u: 13}. 13/306 Calculate prob of sequence qkv when three letters picked without replacement from vqmkpkmmtqtt. 1/330 Calculate prob of sequence iioo when four letters picked without replacement from ooioooiooo. 1/45 Four letters picked without replacement from {l: 1, v: 11}. Give prob of sequence vvvv. 2/3 What is prob of sequence qqp when three letters picked without replacement from jwwqjwwwrpqpwwwpw? 1/680 What is prob of sequence qg when two letters picked without replacement from {q: 1, r: 1, s: 1, l: 1, b: 6, g: 1}? 1/110 What is prob of sequence witx when four letters picked without replacement from {l: 2, i: 1, t: 4, f: 4, x: 2, w: 1}? 1/3003 What is prob of sequence qqqv when four letters picked without replacement from vvvqqvvvvqv? 1/165 Two letters picked without replacement from {b: 2, i: 2, m: 8, j: 2}. Give prob of sequence im. 8/91 Calculate prob of sequence rp when two letters picked without replacement from {d: 1, p: 10, r: 6}. 15/68 Four letters picked without replacement from {e: 5, g: 7}. What is prob of sequence ggge? 35/396 Two letters picked without replacement from qqqqqqqqqq. Give prob of sequence qq. 1 Calculate prob of sequence ccc when three letters picked without replacement from {h: 2, c: 6}. 5/14 Two letters picked without replacement from pppxxxxxxaaxppxxxxpp. Give prob of sequence ax. 11/190 Four letters picked without replacement from xxaaxaa. Give prob of sequence xxaa. 3/35 Three letters picked without replacement from {r: 1, g: 5, p: 1, c: 1, u: 4}. Give prob of sequence upc. 1/330 Calculate prob of sequence aa when two letters picked without replacement from aaglxpalxlss. 1/22 Three letters picked without replacement from {n: 10, w: 4}. Give prob of sequence nww. 5/91 What is prob of sequence qi when two letters picked without replacement from {q: 16, i: 2}? 16/153 Three letters picked without replacement from ipppipppipppiipipp. Give prob of sequence pip. 11/68 Four letters picked without replacement from fvvszcnf. Give prob of sequence sfzn. 1/840 Four letters picked without replacement from lmmmmljjlmml. What is prob of sequence mmjj? 1/198 What is prob of sequence kkk when three letters picked without replacement from {u: 9, k: 5}? 5/182 Three letters picked without replacement from {p: 6, q: 7, e: 4}. What is prob of sequence qqp? 21/340 What is prob of sequence qq when two letters picked without replacement from qoqqqqqqoqq? 36/55 What is prob of sequence wwe when three letters picked without replacement from {w: 5, e: 1, k: 6, l: 1, x: 2, z: 2}? 1/204 What is prob of sequence vkv when three letters picked without replacement from {f: 5, k: 3, v: 2}? 1/120 Calculate prob of sequence gr when two letters picked without replacement from hggrryhrvhhd. 1/22 Calculate prob of sequence iqlq when four letters picked without replacement from qaqaaaalaliaiaia. 1/3640 Calculate prob of sequence llk when three letters picked without replacement from kwyll. 1/30 Two letters picked without replacement from ttzlzjh. Give prob of sequence zz. 1/21 Calculate prob of sequence puy when three letters picked without replacement from tuptpgy. 1/105 Two letters picked without replacement from {d: 2, s: 1, i: 1, a: 1, r: 5, f: 3}. What is prob of sequence ri? 5/156 Two letters picked without replacement from {p: 1, c: 2, f: 1}. Give prob of sequence fc. 1/6 Calculate prob of sequence djx when three letters picked without replacement from jdxpdjddjddddpjjdpj. 3/323 Four letters picked without replacement from {u: 1, q: 2, y: 5, l: 1}. Give prob of sequence lyqy. 5/378 Three letters picked without replacement from {o: 3, b: 1, l: 3}. What is prob of sequence olo? 3/35 Four letters picked without replacement from xxxottxtdooooxxtxo. What is prob of sequence xxtx? 7/612 Two letters picked without replacement from lrdrrlrrewrdrlllrr. What is prob of sequence dr? 1/17 What is prob of sequence rri when three letters picked without replacement from {r: 4, q: 2, i: 2, l: 2}? 1/30 Two letters picked without replacement from {n: 1, j: 7, h: 2}. Give prob of sequence nh. 1/45 Three letters picked without replacement from nyn. What is prob of sequence nyn? 1/3 Calculate prob of sequence sf when two letters picked without replacement from {f: 1, v: 6, s: 4}. 2/55 What is prob of sequence mhyh when four letters picked without replacement from {p: 2, n: 3, h: 6, y: 2, m: 1}? 5/2002 Two letters picked without replacement from {f: 3, g: 8}. What is prob of sequence ff? 3/55 Calculate prob of sequence ddoh when four letters picked without replacement from {d: 5, h: 6, o: 3, b: 1}. 1/91 Calculate prob of sequence ppr when three letters picked without replacement from jwabjrpppbjbwaw. 1/455 Calculate prob of sequence uj when two letters picked without replacement from aauajuquauauuqup. 7/240 What is prob of sequence fff when three letters picked without replacement from bxfffbbffbb? 2/33 Four letters picked without replacement from {f: 3, l: 13}. What is prob of sequence lffl? 3/140 What is prob of sequence hihi when four letters picked without replacement from {i: 4, h: 14}? 91/3060 What is prob of sequence tttt when four letters picked without replacement from {t: 11, k: 5}? 33/182 What is prob of sequence mzh when three letters picked without replacement from {y: 4, p: 1, q: 2, h: 1, z: 3, m: 7}? 7/1632 Two letters picked without replacement from {b: 2, s: 8, w: 2}. Give prob of sequence bs. 4/33 What is prob of sequence ti when two letters picked without replacement from iwmtg? 1/20 Calculate prob of sequence cd when two letters picked without replacement from {m: 1, q: 5, y: 1, d: 4, c: 3, g: 6}. 3/95 Three letters picked without replacement from {m: 4, w: 8, v: 2}. What is prob of sequence mwm? 4/91 Two letters picked without replacement from {h: 1, j: 2, t: 1}. What is prob of sequence tj? 1/6 Calculate prob of sequence hhs when three letters picked without replacement from {h: 3, s: 15}. 5/272 Four letters picked without replacement from {i: 6, b: 6}. Give prob of sequence ibbb. 2/33 Four letters picked without replacement from stzztziiiiiitiiszai. Give prob of sequence ziat. 3/2584 Three letters picked without replacement from {d: 9, r: 2}. Give prob of sequence drd. 8/55 What is prob of sequence ff when two letters picked without replacement from fff? 1 Four letters picked without replacement from {l: 9}. What is prob of sequence llll? 1 Two letters picked without replacement from {q: 3, g: 4, x: 4, k: 2, p: 1, z: 3}. What is prob of sequence qk? 3/136 Four letters picked without replacement from {z: 1, q: 1, i: 2, t: 1, c: 1, f: 2}. What is prob of sequence zfti? 1/420 Calculate prob of sequence iiz when three letters picked without replacement from {i: 2, a: 1, u: 1, f: 2, z: 2}. 1/84 Two letters picked without replacement from tqtttqt. Give prob of sequence tq. 5/21 What is prob of sequence ff when two letters picked without replacement from {f: 9}? 1 Two letters picked without replacement from qbssqozub. What is prob of sequence su? 1/36 Calculate prob of sequence oujj when four letters picked without replacement from {u: 3, t: 1, j: 5, o: 4}. 2/143 What is prob of sequence mp when two letters picked without replacement from {p: 3, m: 1, z: 3}? 1/14 Calculate prob of sequence palz when four letters p
{ "pile_set_name": "DM Mathematics" }
-6*t. Are p and 0 equal? False Let o = 33.71 - 33.8. Does o = 26? False Let x = -85123/8 - -10667. Which is greater: 28 or x? 28 Let p = 195 - 217. Is -70/3 at most p? True Let h be -1 + -1 + (-13)/(-1). Let y = -51 - -48. Let c be (35/5 - y) + 3. Is c at least h? True Suppose 4*q - 434 + 82 = 0. Let b be 2 + (-2)/11 + 104/q. Which is smaller: b or -9/5? -9/5 Suppose -8 = -764*q + 772*q. Let s = -3/55 - -267/1870. Which is greater: q or s? s Suppose 3*b - 80 = -b. Let c = 88 + -58. Let z = c + -11. Is z < b? True Let o be ((-11)/(-3))/((-3)/(-162)). Let r = -1384/7 + o. Which is greater: r or 0.27? r Let w = 0.042 - 0.342. Which is bigger: w or -8/15? w Suppose -7*x = -7 - 14. Suppose x*q + q = 0. Do -8/7 and q have the same value? False Let i = -0.57 - -17.57. Let x = i + -16.81. Which is smaller: -1/4 or x? -1/4 Let f = -2668/17 - -157. Let l(i) = -12 + 9 - 3*i - 26 - 3*i. Let o be l(-5). Is f at most o? True Let x be (-36)/(0 + -6)*1/(-3). Which is greater: x or -38/35? -38/35 Let m = -3/37 - 651/185. Let h = -77/20 - m. Is -10 greater than or equal to h? False Let u = 52 - 52. Which is smaller: u or 29.4? u Suppose -10*q + 54 = -19*q. Let p = 21 - 29. Which is bigger: p or q? q Let n = 0.094 - 0.088. Let i = 0.074 + n. Which is smaller: 3/8 or i? i Let d = -317 + 272. Which is smaller: d or -44? d Let g(o) = 10*o + 29. Let t be g(-3). Suppose w = -2 + 7. Suppose w = -5*k - 20, 5*r + k + 10 = 0. Is t smaller than r? False Let g be 3 + 2*(-5)/5. Suppose -g = 7*w + 6. Which is greater: -2/11 or w? -2/11 Let r = -8.3 + 1.3. Let v = 2.6 - -8.4. Let a = v - 10. Which is smaller: r or a? r Let a = -14 - 1. Let j be 2/a + (-32)/(-2040). Is j less than or equal to 0? True Let q be (3 - 894/294)/(2/2). Let k = -7 + 7. Which is smaller: q or k? q Let n = -23 - -21.8. Let o = n + 4.2. Suppose -5*w + u = -3*u + 12, 2*u - 6 = -w. Is o at least as big as w? True Let d = 0.06 - 0.77. Let x = d + -0.29. Is 3.2 less than or equal to x? False Let w = -182.5 + 32.5. Is 1/3 != w? True Suppose -35 = -4*t + 9. Suppose 0 = 14*n - t*n + 3. Which is bigger: -2/15 or n? -2/15 Suppose 17 = 37*b + 1645. Is -44 at least as big as b? True Let j be 9*(-4 - 65/(-15)). Suppose j*s - 5*s = -4*v + 54, -s = -v + 14. Suppose -v*r = -11*r - 12. Is r smaller than 3? False Let i = -69.4 + 118.3. Let y = i - 49. Are y and 0.11 unequal? True Let p = 0.5 - 0.2. Suppose -3*a + 10 + 5 = 0. Let j be 3/18 - a/(-42). Is j less than p? True Suppose 5*w + 18 = -2*u, 0 = -320*u + 319*u - 5*w - 19. Which is smaller: -156 or u? -156 Let m(n) = n**3 - 9*n**2 - 8*n + 19. Let q be m(9). Do -56 and q have the same value? False Let i = -41 - -76. Let m = -34.9 + i. Which is smaller: m or 4/21? m Suppose -4*n - 2 = x, 8*n = 3*n + 5. Let y = 25 + x. Which is bigger: 18 or y? y Let m be (105/(-28))/(66/(-12) - -7). Which is greater: -115 or m? m Let v(b) = 20*b + 5. Let u be v(-1). Which is greater: -10 or u? -10 Let r = 1 - -4. Suppose -u + 4*n = 15, 20 = r*u + 4*n - 1. Let a be 17/15 - (u - 0). Is a equal to -4? False Let g(y) = -2*y + 6. Let p be (-2)/(-11) + (-2)/11. Let k = p + -7. Let o be g(k). Is 20 bigger than o? False Let s(w) be the third derivative of w**5/60 - w**4/24 - w**3/3 - 5*w**2. Let k be s(0). Which is smaller: -11/6 or k? k Suppose 5*r + 4*y = -491, 4*r + 393 = 2*y - 5*y. Let g = -66 + -32. Is g >= r? True Let c = -136 + 280. Suppose 7*n = -n - c. Are n and -17 unequal? True Let l = 73 - 129. Let x = l + 55. Let i = -332/1413 + 2/157. Which is smaller: i or x? x Let j(r) = r**2 + 25*r - 24. Let c be j(-26). Suppose 5*f - 4 = -2*y, 2*f - c*y = 5*f. Is f at most as big as -1? False Suppose -18*k = -22*k + 2*i - 12, -5*i - 30 = 5*k. Let p be (3 + 1)/((-4)/4). Is k at most p? True Suppose 4*q + 14 = 2*q. Let w be (-3 - (-30)/9)/(14/(-21)). Which is smaller: w or q? q Let m(n) = 17*n - 7. Let t be m(6). Suppose -4*f - 5*c - t - 5 = 0, -4*c = -4*f - 100. Let x = 18 + f. Which is smaller: x or -8? -8 Let s = 71.969 + -72. Let d = 17.031 + s. Is -1/4 at most as big as d? True Suppose 3*l + 5*r = -31, 2*l - 4*r - 7 - 9 = 0. Let n be (-20)/(-8)*l/10. Suppose 3*o - 3*d = 0, d = 44*o - 41*o. Is n greater than o? False Let m = -1119 - -1245. Is -1/6 bigger than m? False Let r = -9 - -1. Let k = 8 + r. Is 0.7 less than k? False Suppose -4*l + 6*x - 5 = x, 3*l + 6 = 3*x. Let g be (l - -2)/(0 - 1). Suppose -g*s - 3*o = 6, s + 7 = o - 3. Is -4 bigger than s? True Let a = 95.9 - 84.9. Let o = -2.9 - -3. Is o equal to a? False Let f(i) = 3*i**3 + 6*i**2 - 24*i - 1. Let a be f(-4). Which is greater: 25/69 or a? 25/69 Let a be (-65 - -3)/((-2)/(-16)*-4). Which is greater: 130 or a? 130 Let x = -4 - -12. Suppose 4*j - 2*y - 26 = 0, 0*j + 3*j + x = -4*y. Suppose d + 6 = -5*t, -4*d - 3 = -5*t - j. Which is smaller: t or 0? t Let r be 46 + -44 + 1124/(-558). Which is smaller: -1 or r? -1 Suppose 3 - 1 = -y, 3*b - 4*y = -16. Which is bigger: -15/2 or b? -15/2 Suppose 79*g = 80*g + 32. Which is bigger: g or -29? -29 Let x = -16 - -31. Let v = -15.4 + x. Is v < 0.2? True Let k = 144/5749 + -26289127/1050704487. Let x = k + 57934871/36552600. Let o = -3/200 - x. Do -3 and o have the same value? False Let b = -78/25 - -94/75. Which is bigger: b or 0? 0 Let l = 95/26 - -10431/52. Let y = 203 - l. Suppose 10 = -3*u - 4*q, -4*u + 2*q - 3 = 3. Is y >= u? True Let c = -20 + 19.6. Let n = -6.017 + 0.017. Which is bigger: n or c? c Suppose -o + g - 26 = -4*g, -4*o = -5*g + 59. Let t be (-27)/(-9)*o/(-12). Is t less than or equal to 2? False Suppose -3*a + 6 = -3*n, 4*a - 3 = -n - 0*n. Which is greater: 2/421 or n? 2/421 Suppose 0 = 44*x - 52*x - 8. Let g = -247862/13 - -3637954/195. Let j = 410 + g. Are x and j equal? False Let y be -1*(-6 + 80/14). Which is greater: -67 or y? y Suppose -31*b + 16*b = -285. Is 20 less than b? False Let k(t) = -t**3 + 6*t**2 + t - 7. Let v = 56 + -50. Let c be k(v). Is c less than -1? False Let u(y) = 2*y**3 + 9*y**2 - 30*y - 5. Let j be u(-6). Which is greater: j or 2? j Let f be (155/(-14694))/(-1*2/(-6)). Let l = -227/12166 - f. Which is smaller: l or 0? 0 Let l = 678.3 + -676.3. Let o = -4.06 + 4. Let w = -0.24 + o. Is l at least w? True Suppose -282 + 42 = -6*i. Suppose 5*q + 2*k - i = 7*k, -5*q + k = -52. Are 11 and q nonequal? False Suppose 0 = -94*b + 97*b + 3. Is b less than or equal to 3/188? True Let a(h) = -h + 19. Let l be a(6). Let z = 10 - l. Which is bigger: z or 0.1? 0.1 Let c(m) = -m - 7. Let d be c(-16). Suppose 4*g = 3*r + 23, 2*g + 2*r - 4 = 4. Suppose o = g*o - 36. Do o and d have the same value? True Suppose 0 = 11*d - 3*d + 672. Let k = -83 - d. Is -7/2 <= k? True Let q = -11 - -13. Let w = q - 5. Let g be (-2 + 5 + w)/2. Is g != 2/15? True Let b = -8 - -8.24. Let t = -0.3 + b. Which is smaller: t or 0.01? t Let d = 851/10 + -169/2. Suppose -2*o = -3*k + 6, -4*o + 0 - 12 = -k. Suppose -4*b + 12 = 2*i, -2*b + k*b = 4*i - 12. Are d and i non-equal? True Let r be (-20)/140 + 157/(-28). Is r not equal to -1? True Suppose 2*p = -3*i + 2 + 6, -3*p - 4*i = -10. Let x be 4 + (8/(-6))/(p/(-6)). Are -3 and x nonequal? True Let b be ((-135)/(-6))/3*2. Let w = -11 + b. Suppose -w*k = -0*k - 20. Is 1/2 >= k? False Let j(z) = z**3 + 5*z**2 - 3*z - 4. Let h = 13 + -17. Let b be j(h). Is 24 less than b? False Let o be (-9)/15*(-3 - 2). Suppose 0 = -a + o*a - 10. Let r be 5 - 3 - a/2. Do r and -0.4 have different values? True Let z = -1.128 - -1.164. Let v = -0.9 + 1. Are v and z non-equal? True Let x = -9.6 + -43.9. Let j = x + 53. Which is bigger: -0.14 or j? -0.14 Suppose -2*j + 3*j + 2*m = -5, -4*j - 5*m - 11 = 0. Suppose -1 = -5*u - j. Let a be (-4)/(-63) + 8/(-28). Is u less than or equal to a? False Let p = 5 - 0. Suppose k = -4*i + 66, 12 - 2 = -p*k. Let x = i + -11. Which is greater: 3 or x? x Let n(t) = -t**2 - 10*t - 11. Suppose 5*c - 2*m + 5 = -3*m, 2*m = 5*c + 5. Let l be (-17 - c)*(-13)/(-26). Let p be n(l). Is 5 at most as big as p? True Let s be ((-9)/6 - (-99)/74)*1. Is s at most -1? False Let a = -1306374692/935 - -1397192. Let o = a + 10/51. Is o at least as big as 1? False Let n = -2872/129285 - 2/1521. Suppose 2 - 1 = x. Which is bigger: x or n? x Suppose f + j = 67, 7*f - 5*f - 139 = -3*j. Which is greater: f or 245/4? f Suppose 5*x = j - 7, 4*j +
{ "pile_set_name": "DM Mathematics" }
17*a in the form s*a + k*a**3 + r + m*a**4 + q*a**2 and give r. 4 Express -307*j - 530*j + 230*j - 397*j + 201*j - 3 as q + i*j and give q. -3 Express (-3*g + 3*g - g)*(-6855 + 34674 - 3568 + 28183) in the form b + j*g and give j. -52434 Express (13 - 5*h**2 - 13)*(-7*h + 13*h + 22*h)*(-1013 + 1013 - 23*h) in the form o*h**4 + s*h**3 + g*h + r*h**2 + m and give o. 3220 Express -1017*g**3 - 1041*g**3 + 3*g + 2074*g**3 + 2 + g**2 as w + d*g**3 + u*g + t*g**2 and give w. 2 Express (36*v - 21 - 13*v - 22*v)*(-20*v + 162 - 162)*(-4*v + 0*v + 2*v) in the form r*v**2 + h + l*v + x*v**3 and give x. 40 Express 41*p**2 + 428*p + 173*p**2 + 5*p**3 + 411*p - 841*p in the form k + c*p**2 + u*p + y*p**3 and give c. 214 Express -58972*p - 62197*p + 116858*p - 1 in the form m*p + f and give m. -4311 Rearrange 60*j**2 + 4*j - 4*j - 577*j**3 + 573*j**3 + 76*j**2 to n*j + h*j**3 + m*j**2 + l and give m. 136 Rearrange -19678*a - 2722*a + 2398*a to the form c + j*a and give j. -20002 Express (-3*o - 5*o + 3*o)*(-4234*o - 3946*o + 6885*o) + (0 + 0 + 2*o)*(0 + 0 - o) as y*o + g*o**2 + d and give g. 6473 Rearrange 1224*v**2 + 2562*v**2 - 212*v**2 - 138*v**2 to y*v**2 + g*v + n and give y. 3436 Rearrange (5*y - 5*y + 4*y)*(2*y - y + y - y + 0*y + 0*y + (4 + 0 - 6)*(-y + 2*y + 0*y) + 17*y + 65*y - 629*y) to the form o + r*y**2 + k*y and give r. -2192 Express 12911*s - 3257*s + 36 - 36 in the form a*s + o and give a. 9654 Express (0 - 2 + 7)*(2 - 3 + 0)*(14 - 7*r - 17 + 19*r)*(-3 + 1 + 3 + (-2 - 3 + 3)*(0 + 3 - 4))*(5*r + r - 2*r) as p + o*r**2 + d*r and give o. -720 Rearrange 47283*p + 36387*p - 64629*p to the form h*p + y and give h. 19041 Express (554*h + 36594 - 36594 + (-2 + 0 + 4)*(-3 + 2*h + 3))*(-4*h**2 + 5*h**3 + 4*h**2) as u*h**3 + j + m*h**4 + q*h + f*h**2 and give u. 0 Rearrange -13 + 8*z + 82*z**2 - 13 + 17 + 8 to c*z**2 + b*z + o and give o. -1 Express (11 - 7 + 45)*(3*w - 2*w - 2*w) + 13*w - w - 2 + 3 + (-3 + 5 + 5)*(1 - 1 - 3*w) as s + t*w and give t. -58 Express (217*z + 87*z + 3*z)*(-3*z + 3*z + 5*z) - 1 + 1 - 4*z**2 as p*z**2 + d*z + m and give p. 1531 Express 93*n**2 + 1 - 30*n**2 - 2*n**3 - 2 - 113*n + 7 + 112*n in the form t*n**2 + z*n**3 + v*n + k and give t. 63 Rearrange -8*l**4 + 1968*l**3 + 2*l**4 - 1980*l**3 - l to x*l**2 + h*l**4 + p*l**3 + y + b*l and give h. -6 Rearrange 3*y**3 - 154*y**2 - 436 + 306*y**2 - 150*y**2 + y**3 to o*y**3 + x*y**2 + h + q*y and give h. -436 Express -27278*g**3 - 13 - 13*g**4 + 11 - 43*g**2 + 27280*g**3 as s*g + o*g**2 + j*g**4 + q + w*g**3 and give q. -2 Express -288*b + 4 - 87*b - 12 + 7 - 215*b in the form o*b + r and give o. -590 Express -2*w**2 + 7*w**3 - 1005 + 29*w**4 - 14*w**4 + 1005 in the form n*w**4 + g*w**3 + l + q*w + m*w**2 and give m. -2 Express (0*u + 2*u - u)*(-1 - 5 - 9) + u + 4*u - 3*u + (-3*u + 4*u + 0*u)*(0 - 1 + 0) - u + 0*u + 3*u in the form i + p*u and give p. -12 Express 2*h + 6*h - 29*h + (-18*h + 10 + 141*h - 11)*(-2 + 3 + 0) as p + k*h and give k. 102 Express -2*c**3 + 5*c - 3*c**4 + 14*c**2 - 6869 - 6869 + 13738 in the form s*c**3 + r*c**4 + h + p*c + b*c**2 and give s. -2 Rearrange (123 - 248 + 96)*(23*h**3 + 36 - 36)*(-3 + 0 + 2) to the form z*h**2 + s*h**3 + p + o*h and give o. 0 Express (-845 + 786*f + 848 + 79*f)*(-3 - 8 + 2 - 5) in the form m + v*f and give v. -12110 Rearrange (-1 + 1 - f**3)*(27*f - 47 + 47) + (-7*f**4 - 68*f**2 + 68*f**2)*(-80 - 95 + 40) to g*f**3 + t*f**2 + p*f**4 + o + r*f and give o. 0 Express (-z + 3*z - 4*z + (59*z + 7*z - 4*z)*(2 - 2 - 1) - 6*z + 0*z + 4*z)*(-2*z**2 + 0*z**2 + 6*z**2) in the form f*z**3 + x*z**2 + b*z + o and give f. -264 Rearrange (-18 - 29 + 11)*(4 - 2 - 4)*(-152*s + 558*s + 230*s) to the form w*s + z and give w. 45792 Express (-7 + 7 + p)*(18 - 86 - 65158*p + 21 + 17 + 30) in the form q*p**2 + t + s*p and give q. -65158 Express -23367*g + 16 - 16 - 2999*g - 8392*g as f + v*g and give v. -34758 Express 553 + 3*m**3 - 1365 - 3*m + 2*m**2 + 652 in the form t + w*m + v*m**3 + l*m**2 and give t. -160 Rearrange -4*q**2 - 15*q**2 - 44*q**3 + 42*q**3 - 42 - 37 + 2*q + 102 to n*q**2 + c*q + h + k*q**3 and give h. 23 Express (-5*z + 4*z - 12*z)*(-254*z - 368*z - 580 + 581) as l + q*z + o*z**2 and give o. 8086 Express (3 + b**2 - 3)*(-4 + 0 + 2)*(27450*b**2 + 186023*b - 186023*b) as d*b**4 + y*b**3 + j + i*b**2 + s*b and give d. -54900 Rearrange (4*b - 1 + 5 - 5)*(-7 + 83 + 11) to the form o*b + a and give o. 348 Rearrange 54*b + 903 - 48*b - 1059 to z + i*b and give i. 6 Express 3*r**3 + 828*r - 477*r - 354*r + 2 + 3*r**3 + 4*r**2 in the form u + t*r**3 + o*r + c*r**2 and give u. 2 Express 57 + 6*a**3 + 13*a**3 + a + 128597*a**2 - 128599*a**2 as k + v*a + u*a**3 + m*a**2 and give k. 57 Express (-6*a**2 + 16*a**2 - 2 + 1 + 2)*(-343 - 336 - 233) in the form w*a + j*a**2 + b and give j. -9120 Rearrange 4*q - 171*q**3 - q**2 + 4 + 290*q**3 - 117*q**3 + 3*q**4 to the form w + g*q**4 + z*q + f*q**2 + k*q**3 and give g. 3 Express -18*w**2 + 327*w**2 + 534*w**2 - 135*w**2 + 1 + 168*w**2 in the form p*w**2 + z*w + v and give v. 1 Express -521*z**4 + 22*z - 23*z - 131*z**4 - z**2 + 2*z**2 + 2 - z in the form w + n*z**3 + h*z**2 + x*z + k*z**4 and give h. 1 Rearrange (-4*a + a + 4*a)*(3 + 3 - 3 + (-4 + 3 + 0)*(2 - 4 + 0))*(-1 + 2 + 1)*(487 - 961 + 482) to the form g*a + n and give g. 80 Express -29271*n - 10*n**2 - 3*n**3 - 1 + 29263*n - 22*n**2 in the form v*n**3 + z*n + b*n**2 + w and give w. -1 Rearrange (-749 + 1270 - 3643 - 5983 - 5579 - 646)*(3*f**3 + 0*f**3 - 4*f**3) to the form c*f**3 + m + r*f**2 + y*f and give c. 15330 Express -c + 14 - 13 + 38*c**2 - 37*c**2 - 3*c**2 - 112*c**3 as t + x*c**3 + j*c + d*c**2 and give d. -2 Express (2*w**2 - 3*w**2 + 0*w**2)*(23 - 11*w**2 - 23) + 40*w**4 - 256*w**2 - 257*w**2 + 517*w**2 in the form l*w**3 + t*w**4 + v + z*w**2 + c*w and give v. 0 Rearrange (-296*v + 104*v + 22*v)*(-22 + 3*v**2 + 22)*(v + 3 + 3 - 5)*(4 + 4 - 3) to the form b*v**4 + s + h*v**3 + x*v + q*v**2 and give h. -2550 Express -2 + 145 - 52*q + 42 - 73 as f + o*q and give f. 112 Express (2*g - 3*g + 4 - 2)*(17*g + 1 + 10*g - 22*g) + (-54 + 54 + 4*g)*(12*g - 14 + 14) as i*g**2 + s*g + j and give s. 9 Rearrange 0*z - 213*z**2 - 717855*z**3 + 0*z + 717854*z**3 to the form a + o*z**3 + d*z**2 + w*z and give d. -213 Express (16 - 3 + 14)*(-1006 + 5*k + 997 + 0*k)*(0*k - 3*k + k) as a + j*k + v*k**2 and give j. 486 Express -11 + 98250*z**2 + 3 - 49090*z**2 - 2*z - 49116*z**2 in the form f*z + b*z**2 + m and give f. -2 Rearrange 1039*p**3 + 14*p**2 - 1013*p**3 + p**4 - 13*p**2 to h*p + v*p**2 + t*p**4 + f*p**3 + q and give t. 1 Express (-a + 5*a - 2*a)*(-275*a**2 + 652*a**2 - 377*a**2 + 87*a**3 - 138*a) in the form y*a**2 + t*a + l*a**4 + b*a**3 + x and give b. 0 Express (-95 + 133 + 138)*(-b**3 + b**3 - 3*b**3) + 0 + 2*b**3 + 0 in the form y*b**2 + j*b**3 + h + t*b and give j. -526 Express 30 + 51 - 81 - 666*q - 1666*q in the form z*q + t and give t. 0 Express -76*q**3 - q**4 - 1 - 2*q**2 - 119*q**3 - 252*q + 253*q in the form j + l*q**2 + t*q**4 + i*q**3 + z*q and give j. -1 Rearrange (220*n**2 + 34294*n - 34294*n)*(10*n - 29*n + 58*n) to s*n**3 + r*n + u*n**2 + m and give s. 8580 Rearrange 3*a + 3*a**3 - 4*a**3 + 3*a**3 + (-5*a**2 + a**2 + 0*a**2)*(172*a - 61*a + 92*a) to the form l*a + o*a**3 + w + q*a**2 and give l. 3 Rearrange -15153 + 15149 - 5*x**3 - 2*x + 3*x**3 + 2*x**4 + 14*x**2 to d*x**4 + v*x**2 + a*x**3 + k + c*x and give k. -4 Rearrange 16 - u**4 + 16 - 36 + 23 + 17*u**2 - 24*u**2 to b*u**3 + o*u**4 + y*u**2 + d*u + r and give y. -7 Rearrange 2 - 2 - k + 3*k - 2*k + 3*k + (-2*k + 2 - 2)*(0 - 3 + 1) + (-23 + 9 - 10)*(0 - 9 + 6)*(-2*k - 2*k + 2*k) to s*k + a and give s. -137 Express (2 - 2 + 6*y**2 + (-y**2 + 4*y - 4*y)*(-4 + 0 + 2))*(7*y + 19*y + 0*y) + (2 - 1 + 1)*(2*y**3 - 4*y**3 + y**3) as c + n*y + x*y**2 + q*y**3 and give q. 206 Rearrange (840*b - 627*b + 468*b)*(b**2 + 0*b**2 + b**2) to j*b**3 + u*b + d*b**2 + o and give j. 1362 Express 1710*n + 3*n**3 + 5*n**3 - 2*n**3 - 3419*n + 1 + 144*n**2 + 1708*n as q*n + z*n**2 + y + s*n**3 and give q. -1 Rearrange (0*k - 5*k + 0*k)*((-2*k + 0*k + 4*k)*(-1 + 2 + 1)*(-1 - 1 + 5) + (-2 - 4 - 2)*(-22*k - 3*k + 5*k)) to r*k + p + a*k**2 and give a. -860 Express (2037*r + 2558*r - 3734*r)*
{ "pile_set_name": "DM Mathematics" }
1. Let t = 7 + u. Find the third derivative of -4*c**3 - 4*c**2 + 6*c**3 - t*c**2 + 3*c**2 wrt c. 12 Let k(n) = n**3 + 7*n**2 - n + 2. Let x be k(-7). Let f be (-15)/2*(-6)/x. Find the third derivative of -2*w**5 - w**f + 0*w**2 - 4*w**2 wrt w. -180*w**2 Let f(z) = -2*z**2 + 5*z - 4. Let k be f(4). Let i = k - -19. What is the second derivative of 2*r**i - 3*r - 2*r**3 - 2*r**3 wrt r? -12*r Let h(u) = -166*u - 9. Let m(r) = 174*r + 7. Let w(o) = 5*h(o) + 4*m(o). Find the first derivative of w(z) wrt z. -134 Suppose 4*p = 3*p + 2. What is the third derivative of 4*i**5 + 214*i**4 + 27*i**p - 214*i**4 wrt i? 240*i**2 Let j = 12 - 8. Suppose 5*i + j + 1 = 0, -3*y = i - 11. What is the third derivative of 4*z**y + 0*z**4 - 2*z**2 - 2*z**2 - 2*z**2 wrt z? 96*z Let t(u) be the second derivative of -313*u**3/6 + 39*u**2 - 2*u - 1. Differentiate t(z) with respect to z. -313 Let t = 2 + 2. Suppose t*m - 42 + 14 = 0. What is the second derivative of 9*l - l**2 + m*l - 14*l wrt l? -2 Let o(p) be the third derivative of -p**7 - 3*p**4/4 - 2*p**2 - 34*p. Find the second derivative of o(n) wrt n. -2520*n**2 Find the third derivative of 27*j**2 + 40*j**6 + 47*j**6 - 11*j**2 wrt j. 10440*j**3 Let x(i) be the second derivative of -27*i**5/4 + 34*i**3/3 - 4*i + 7. Find the second derivative of x(z) wrt z. -810*z Let m = 9 - -18. What is the first derivative of -4*q - 4 - q + m - 13*q wrt q? -18 Let i(l) = -115*l**5 - 3*l**3 + 71*l. Let p(q) = -117*q**5 - 4*q**3 + 72*q. Let d(f) = -4*i(f) + 3*p(f). Find the second derivative of d(r) wrt r. 2180*r**3 Let j be -2*2*(1 - 2). Let s(c) = c - 12. Let g be s(16). Differentiate 2 - 3 - 12*h**g + 6*h**j + 6 wrt h. -24*h**3 What is the second derivative of 69*i**3 - 21*i + 3 - 1 + 3*i - 72*i**3 wrt i? -18*i Let k(v) = 2155*v**3 - 1291*v**2 - 68*v. Let o(r) = -718*r**3 + 431*r**2 + 24*r. Let j(l) = -6*k(l) - 17*o(l). What is the third derivative of j(w) wrt w? -4344 Let s(w) = w**2 + 4*w + 2. Let y be s(-3). Let p(v) = 1. Let x(q) = 4*q**2 - 2*q - 5. Let d(b) = y*x(b) - 5*p(b). What is the second derivative of d(i) wrt i? -8 Let x(k) be the third derivative of -k**7/35 + k**6/60 - k**5/20 - 9*k**3/2 + k**2 + 198*k. What is the third derivative of x(n) wrt n? -144*n + 12 What is the first derivative of -36*f**2 + 34*f**2 + f - 3*f - 30 wrt f? -4*f - 2 Let y(x) be the third derivative of -x**8/336 - x**6/24 - 31*x**5/10 + 106*x**2. Find the third derivative of y(k) wrt k. -60*k**2 - 30 Suppose 22 = -4*r + 30. Find the third derivative of -5*d**r + 14*d**3 - 15*d**3 + 19*d**3 wrt d. 108 Let n = 5 - 2. Suppose w - n*w = -100. Find the second derivative of w*x + 2*x**4 - 46*x + x**4 wrt x. 36*x**2 Let a(q) = q**2 - 9*q + 17. Let o be a(7). What is the third derivative of -44*r**5 + 6*r**2 + 27*r**5 - o*r**2 wrt r? -1020*r**2 Suppose -3*t + 0 - 6 = 0, 5*t = 4*q - 18. Find the third derivative of -8*p**q - 5*p**2 + 20*p**3 - p**3 - 5*p**3 wrt p. 84 Suppose -4*s = -23*s + 304. What is the third derivative of -9*f**2 + 15*f - 2*f**2 - 35*f**5 - s*f wrt f? -2100*f**2 Let u(q) be the third derivative of -q**7/70 - 13*q**4/12 - 307*q**3/6 - 2*q**2 + 22*q. What is the derivative of u(d) wrt d? -12*d**3 - 26 Let a = 116 - 81. Find the third derivative of -a*r**6 - 195 + 13*r**2 + 195 wrt r. -4200*r**3 Suppose -y = -84 + 15. What is the first derivative of -22*a - 43 - 21*a + y wrt a? -43 Let o(s) = -6*s + 10. Let q be o(0). Find the second derivative of -9*n**2 - 51*n - q*n**2 - 10*n**2 + 52*n**2 wrt n. 46 Let r(g) be the third derivative of -29*g**6/60 + 13*g**5/30 - 14*g**2. Find the third derivative of r(y) wrt y. -348 Let m(a) = a + 1. Let c(w) = -6*w**2 + 24*w + 5. Let k(t) = -c(t) + 6*m(t). Let h(r) be the first derivative of k(r). Differentiate h(s) wrt s. 12 Let t be 1/2 - 5/(-2). Let r be 3*1 + 82/(-41). Let h(n) = -5*n**2 - 2. Let y(u) = 1. Let z(k) = r*h(k) + t*y(k). Differentiate z(f) with respect to f. -10*f Let v(y) = y**2 + 5*y. Let t be v(-7). Suppose 3*h = t - 2. What is the second derivative of -3*d**4 + 2*d**h - 5*d**4 + 3*d wrt d? -72*d**2 Suppose -1 = -2*g + 5. Find the first derivative of 261 - 2*d**g - 3*d**3 - 5*d**3 - 268 wrt d. -30*d**2 Let p(x) be the second derivative of -193*x**5/10 + 11*x**4/12 - 3*x**2/2 - 2*x - 16. What is the third derivative of p(r) wrt r? -2316 Let c(u) be the third derivative of -13*u**5/6 - 43*u**4/8 + 2*u**2 - 27. Find the second derivative of c(a) wrt a. -260 Let t(m) = -1032*m**3 + 24*m**2 + 1120. Let d(i) = 295*i**3 - 7*i**2 - 320. Let f(a) = -24*d(a) - 7*t(a). What is the derivative of f(w) wrt w? 432*w**2 Let x(a) be the second derivative of 0*a**4 - 3/14*a**7 + 0 + 0*a**5 + 0*a**2 + 0*a**6 + 2*a + 1/2*a**3. What is the second derivative of x(c) wrt c? -180*c**3 Let k(v) = -v**2 + 15*v + 18. Let a be k(16). Find the second derivative of -6*t**a - 3*t**2 + 2*t**2 - 24*t - 6*t**2 wrt t. -26 Let q(s) be the third derivative of 0*s**5 - 1/70*s**7 + s**2 + 5/3*s**3 + 0*s + 0*s**4 + 0*s**6 + 0. Find the first derivative of q(j) wrt j. -12*j**3 Suppose -2*h + v + 12 = -h, -2*v - 3 = h. Let f(g) = g**2 + 3*g. Let j be f(-4). What is the second derivative of 4*u**4 - 2*u**j + 2*u - h*u wrt u? 24*u**2 Let q(l) = -l**2 + 10*l + 5. Let h be q(10). What is the second derivative of f**2 - 4*f**2 + h*f**2 + 3*f + f wrt f? 4 Let v(n) be the third derivative of 0 + 0*n**7 + 0*n**3 - 10*n**2 + 0*n**4 + 0*n + 0*n**6 - 1/42*n**8 + 1/6*n**5. What is the third derivative of v(o) wrt o? -480*o**2 Let s(h) be the second derivative of 0*h**3 + 7/4*h**5 - 35*h + 0 + 15/2*h**2 + 0*h**4. What is the derivative of s(i) wrt i? 105*i**2 Let g(h) be the second derivative of -583*h**6/30 + h**4/6 + 103*h**2 - 808*h. Find the third derivative of g(u) wrt u. -13992*u Differentiate 256*b - 45 - 69 - 256*b - 421*b**2 - 46 with respect to b. -842*b Let s(p) be the third derivative of p**8/60 + p**6/60 - 6*p**3 + 9*p**2. Let k(x) be the first derivative of s(x). What is the third derivative of k(q) wrt q? 672*q Suppose 57 = 3*z - 9. Suppose -z = -2*d - 4. What is the first derivative of -d + 3*i - 6 + 17 wrt i? 3 Suppose 8 = 4*z - 8*z. Let r be z/(-4) - (-10)/4. Find the second derivative of 7*s - 9*s + s**3 + 2*s**3 - 6*s**r wrt s. -18*s Let n be 3*(-1)/((-3)/22). Find the second derivative of -n*t**2 - 23*t**2 + 22*t - 18*t + 1 wrt t. -90 Let x(u) = 105*u**2 - 21*u - 10. Let g(m) = -52*m**2 + 10*m + 5. Let j(y) = 7*g(y) + 3*x(y). Find the second derivative of j(t) wrt t. -98 Let u = -114 + 263. Differentiate -97*j**2 - 28 + u*j**2 - 78*j**2 wrt j. -52*j Let c = 36 + -63. Let h be (0 + -3)*45/c. What is the third derivative of -2*p**2 + 0*p**h + 4*p**2 + 5*p**5 wrt p? 300*p**2 Let w(c) be the first derivative of -285*c**4/4 - 365*c + 293. Find the first derivative of w(y) wrt y. -855*y**2 Let j(i) = -468*i**2 - 65*i + 6. Let t(y) = -1871*y**2 - 261*y + 22. Let r(k) = 11*j(k) - 3*t(k). What is the second derivative of r(b) wrt b? 930 Let z be (30/20)/((-3)/(-26)). Find the first derivative of -10*n**2 - z + 46 - 13 - 16 wrt n. -20*n Let k be -45*3*(-6)/45. Differentiate -524*l**2 + 524*l**2 - k + 19*l**4 with respect to l. 76*l**3 Let t(l) be the first derivative of -2*l**3 + 5*l**2/2 + 17*l - 116. Find the second derivative of t(m) wrt m. -12 Let c(n) be the first derivative of 215*n**4/2 - 244*n**2 + 338. Find the second derivative of c(h) wrt h. 2580*h Suppose -p - 2 - 5 = -l, 4*l = -3*p - 7. What is the third derivative of -138*n + 138*n - 57*n**l + n**4 - 5*n**3 + 2*n**4 wrt n? 72*n - 30 Let j(z) be the first derivative of 0*z - z**3 + 11 + 0*z**5 - 1/6*z**6 + 0*z**2 + 0*z**4. What is the third derivative of j(f) wrt f? -60*f**2 Find the second derivative of -17*t - 4 - 5*t - 174*t**2 + 1 + 5 + 0 wrt t. -348 Let w(m) = 476*m**2 - 5*m + 17. Let t(p) = 238*p**2 - 3*p + 9. Let r(o) = -11*t(o) + 6*w(o). What is the second derivative of r(c) wrt c? 476 Let o(h) be the second derivative of -133*h**6/15 - 32*h**4/3 - 31*h + 4. What is the third derivative of o(g) wrt g? -6384*g Let m(n) = -30*n**3 + 7*n + 19. Suppose 15*z - 20*z - 20 = 0. Let g(t) = -15*t**3 + 4*t + 9. Let l(j) = z*m(j) + 7*g(j). Differentiate l(c) wrt c. 45*c**2 Let y be (44/8)/(2/4). What is the derivative of -10*w + 5*w - 42 - y*w - w wrt w?
{ "pile_set_name": "DM Mathematics" }
me? True Let j be (-256)/14 - ((-32)/(-28))/(-4). Is 20460/2 - j/18 a composite number? True Suppose -x = -3*b - 43 - 1444, 0 = -5*x - 5*b + 7395. Is x composite? False Let c be -1 + (-9)/(-6) + (-7)/(-2). Suppose -c*h = -2815 + 903. Let z = h - 299. Is z a composite number? False Let k = 9 + -5. Let b be (-2 - k)*5/(-13 + -2). Suppose 41 = b*q + 3*i, 5*q - 87 = 3*i + 5. Is q a prime number? True Let b(n) = -2*n**2 + n - 1. Let q(m) = 59*m**2 - 20*m - 14. Let j(s) = -b(s) + q(s). Is j(-6) composite? False Suppose -83*w = -96*w + 21775159 - 356372. Is w prime? True Suppose -18975672 = 175*i - 112396097. Is i a composite number? False Let s = 8546 - 3335. Let q = -1912 + s. Is q composite? False Let h = 329 + -394. Let o = 944 - h. Is o prime? True Let r(j) = -5*j**2. Let l be r(1). Let i(u) = -12*u**2 + 5*u - 32. Let y(n) = 11*n**2 - 6*n + 33. Let d(w) = -7*i(w) - 6*y(w). Is d(l) a composite number? True Let f be 4/(2*(-1)/12). Let s = 24 + f. Suppose -p + 1627 = 3*n - s*p, -5*n + 2717 = 3*p. Is n a composite number? False Let z = 23782 - -8169. Is z a composite number? True Suppose -5*y + d = -16, 4*y = -4*d - 0*d + 32. Suppose m + 1 = 3*j, -6*m + y*m + 9 = 5*j. Is (1624/(-32))/(j/(-4)) a composite number? True Let i be (3 - 85/15)*-30. Let c = -98 + i. Is (-20066)/(-6) + 24/c composite? False Suppose -q + c + 15 = -21, 5*q + c = 156. Suppose 95683 = q*x - 31*x. Is x composite? True Let x(j) = j**2 + 14*j + 39. Let y be x(-5). Let i(d) = -2118*d - 41. Is i(y) prime? False Is ((-3)/(-6))/(2/5675932) a prime number? True Is -12 + (10 - (-13 + -14940)) prime? True Let m(r) = 5*r**3 + 24*r**2 - 83*r - 157. Is m(28) a composite number? True Let z(h) = -h**3 - 8*h**2 + 14*h + 23. Suppose -8*v = 68 + 76. Is z(v) composite? False Let l = -111706 - -161369. Is l a composite number? False Let u = 112 - 107. Suppose -u*l + 1503 = -152. Is l composite? False Let z(b) = 6*b + 2. Let h be z(-2). Let g(u) = 2*u**2 + 13*u + 17. Is g(h) prime? False Let n(x) = 1 - 6 + 5*x - 6 - 3*x. Let b be n(4). Is (-598)/(-4) - b/(-6) a composite number? False Suppose 0 = 3*u + 3*p - 3, 4 = 5*u + 2*p - 4. Suppose -4*k = -2*c - 3*c - 33, 3*k - 42 = -u*c. Let l(m) = m**3 - 8*m**2 + 4*m + 9. Is l(k) composite? True Let d = 294 + 2221. Suppose 5*x = d + 2920. Is x a prime number? True Suppose -18165 = 4*h - 106865. Suppose -13312 = -9*v + h. Is v a composite number? False Suppose 0 = -36*c - 26 + 98. Suppose c*r + 1057 = -5*n + 14770, -2*n + 4*r + 5466 = 0. Is n prime? True Is (-166030 - 1)*((-6)/(-11) + 646/(-418)) a prime number? True Suppose 0 = 5*o - 87 + 127. Let r(n) = 92*n**2 - 29*n + 1. Is r(o) prime? True Suppose -22802 = -5*k + 40718. Suppose -r + 3153 = -2*x - 3*x, 4*r = -3*x + k. Is r a composite number? True Let l be (-2)/(-3) + 22552/12. Let r = 4653 - l. Is r prime? False Is ((-788965)/(-35))/((-25)/(-175)) prime? True Suppose 0 = 141*b - 81536708 - 36164593. Is b a prime number? True Suppose 4*a - 538391 = 5*u, -2*a + 162479 + 106722 = 3*u. Is a a prime number? False Suppose 0 = -3*i - 790 - 1013. Let l = 959 + i. Is l composite? True Suppose 9053 - 315332 = -38*t + 29*t. Is t a composite number? False Let i be (6 - 2) + 32 + 0. Let n be (-10)/(-2)*i/45. Suppose -n*v + 6376 = 4*v. Is v a composite number? False Let s be (-1)/(-8) - 10/(640/968). Is (-6)/s + -172442*(-18)/60 a prime number? False Suppose -5*c - 4*i - 56861 = 21911, -2*c = 4*i + 31516. Let v = -8576 - c. Suppose 3*s - 4*u - v = -s, -3*s = 4*u - 5417. Is s a composite number? True Suppose 47*b - 13 = 46*b. Suppose -b*c + 9975 = -5287. Is c prime? False Let p(h) = -598*h - 102 - 100 + 230. Is p(-3) composite? True Let z be ((-6)/(-8))/(-9 + 284/32). Let f(w) = 2*w + 25 + 3*w**2 - w**2 + w**2. Is f(z) a composite number? True Is -4 + 273836 - (27 - 30) a prime number? False Let i(n) = 4*n - 8. Let c be i(-22). Is c/(-24) - (-31542 - (-2 - -5)) a composite number? True Suppose -9*k + 11 = -8*k. Suppose -2*f + k*f = 36. Suppose -1401 = -5*j + f*j - 2*t, 2*t = 5*j - 6993. Is j prime? True Suppose 2*x = -2, 1973 + 20056 = 2*f + x. Suppose -125*t + 130*t = f. Is t composite? False Is 42143696/448*8/2 a prime number? True Let k = 77479 - -66232. Is k composite? False Let l(m) = -237*m - 61. Let j = -328 + 322. Is l(j) a prime number? True Suppose 2*t = 8 - 0. Let h be -10*(-2)/2 - t. Let v(y) = 22*y**2 - y + 1. Is v(h) a composite number? False Let z = -343 + 347. Is (-3229)/(z/(-48)*4) a composite number? True Suppose -b - 40 + 43 = 0. Suppose 1960 = -0*h + 4*h - b*p, p + 4 = 0. Is h a composite number? False Let m = 15 + -4. Let n(i) = 66*i + 18. Let a be n(m). Let r = 1243 - a. Is r a composite number? False Let t be (1*687/(-4))/(1/(-4)). Let s = 383 - t. Let x = s + 783. Is x composite? False Let b be 1 + 2 + (2 + -3)/1. Suppose -3*t + 6637 = -b*t. Is t prime? True Let b = -136 + 138. Suppose -w + 4*c - 6 = -291, b*w + 5*c = 596. Is w a prime number? True Suppose t - 4*t = -2*m - 3, -5*t = -3*m - 6. Is 14502/m + -1 + (3 - 1) a composite number? True Let j(s) = -2*s**2 + 11*s - 1. Suppose -14 = -7*m + 21. Let q be j(m). Suppose n - q*b - 553 = -3*b, -2*b + 1110 = 2*n. Is n a prime number? False Let d be (-1888)/24*102/(-4). Suppose -p = 2*w - d, -4*w - 5*p + 3942 + 70 = 0. Is w prime? False Let z = 7837 + -4766. Let d(k) = -k**2 + 6*k + 6. Let y be d(6). Suppose y*j - z - 1855 = 0. Is j a prime number? True Let f(c) = 63*c - 35. Let p(j) = 32*j - 17. Let n(l) = 2*f(l) - 5*p(l). Let q be n(-13). Suppose -d + 3*h - h + q = 0, -1421 = -3*d - 4*h. Is d prime? True Suppose 5*f = -3*u + 186021, -2*f + 74400 = -3*u - 0*u. Is f composite? True Suppose 2*c - 7*c - o = -570, -4*o = -2*c + 228. Let z = 653 - c. Suppose -2*d - z = -9*d. Is d composite? True Let y be 1/((-30)/(-12)) + (-6)/15. Is -2*(1 - y)*(-26362)/28 prime? False Let p = 49429 - -17121. Suppose 4*j + 3*n = -p + 192378, 3*j = -3*n + 94374. Is j a prime number? False Let r be (-1778)/((-2)/10 - 21/(-30)). Let u = r + 2273. Let c = -804 - u. Is c a composite number? False Let h = -30641 - -68372. Is h composite? True Suppose 3*n + b = 1284862, -b - 2141434 = 107*n - 112*n. Is n composite? True Let i = -9772 + 21155. Is i prime? True Let p be 1161/(-2) - 8/(-16). Let q be ((-14)/35)/(2/p). Suppose 5*g = -w + q, 0*w = -4*w + 5*g + 589. Is w a prime number? False Let w(j) be the second derivative of 887*j**5/20 + j**4/12 + j**3/6 - j**2 - j. Let k be ((-5)/20)/(-1)*4. Is w(k) prime? True Let v(k) = -23764*k - 100. Let d be v(-7). Is d/(-120)*(-5)/3 a composite number? False Suppose -8*t + 7*t - u + 34644 = 0, 5*t - 2*u - 173171 = 0. Is t composite? True Suppose -20 - 4 = 2*j. Let c(k) = 2*k + 27. Let v be c(j). Is (-4 + v)/(128/(-127) - -1) composite? False Let y(a) = -16*a**2 + 24*a + 4. Let i be y(3). Is (214/3)/(i/(-5406)) a prime number? False Let r(k) = k**2 + 21*k - 193. Let b be r(7). Suppose 113481 = b*u + l - 4*l, 5*u = 4*l + 189139. Is u a composite number? False Let v = 220093 + -130532. Is v composite? False Suppose 0 = 5*k - 7 - 143. Suppose 4*a - 9 = 2*j + 11, -4*j - 2*a = k. Let f(l) = l**3 + 9*l**2 + 2*l + 11. Is f(j) prime? True Let o(a) = -a**2 + 13*a + 40. Let y be o(15). Let s(u) = 2*u**3 - u**2 - 4*u + 5. Is s(y) composite? True Let u = 46 + -79. Let c = u - -36. Suppose -c*o + 451 = 4*a, 510 + 138 = 4*o - 4*a. Is o a prime number? True Suppose -j + 627 + 475 = 2*n, 2*n = -3*j + 1094. Suppose -5*y - 2*z + n = 0, y - 115 = -2*z + 6*z. Is y a composite number? True Let g(m) = 2106*m**2 + 142*m + 9. Is g(8) a prime number? True Let j(g) = -312*g - 52. Let m be j(-12). Suppose -2*d + 80482 = -m. Suppose 0 = 16*r + 9239 - d. Is r a prime number? True Let z be -2*2/12*0. Suppose z = -3*h - 2*t + 16309, 7*t - 4*t = 5*h - 27150. Is h a prime number? False Suppose -7*s + 3*s + 403677 = 5*q, 0 = -4*q + s + 322950. Is q prime? True Let m be (8 + (1 - 8))*-1. Is -3*9/54*(-81733 + m) composite? False Is (9/((-432)/(-32)))/(2/127527) a prime number? True Let r = -26730 + 134039. Is r prime? True Let w = 1658 + -1133. Suppose -2*h - 3*h + w = 0. Suppose -366 = -3*k + h. Is k a prime number? True Let a(k) = k**2 + k - 2705. Let j be a(0). Suppose -8 + 22 = -7*u. Is j/(-10)*u*-1 composite? False Let v(p) = -p**3 - 3*p**2 + 15*p - 14. Let k be
{ "pile_set_name": "DM Mathematics" }
4*d**2 + 2*d + 0*d - 6*d + 0*d - 1. Suppose 24 = 5*z + 4. Determine z*p(r) + 3*s(r). r**2 - r - 1 Let v(z) = 0*z**2 - 1 + 5*z - 1 - z**2 + z. Let f(b) = 2*b**2 - 13*b + 4. Give 4*f(c) + 9*v(c). -c**2 + 2*c - 2 Let w(f) be the first derivative of 3*f**2 - 3. Suppose -4*v = 23 - 3. Let i(c) = 7*c. Determine v*i(l) + 6*w(l). l Let l(i) = 11*i - 2. Let w = 9 + -14. Let o(k) = 7*k - 1. Suppose 0 = 5*j - 3*j - 16. What is j*o(g) + w*l(g)? g + 2 Let z(m) = 2*m + 4. Let o(b) = -7*b - 8. Let h = 1 + -6. Let l(u) = -6*u - 7. Let f(j) = h*l(j) + 4*o(j). Let p be 2 + (-15)/3 + -2. What is p*f(w) + 4*z(w)? -2*w + 1 Let z(s) = s. Let h(d) = 2*d**2 + 4*d - 1. Suppose 5*q - 11 - 9 = 0. Calculate q*z(i) - h(i). -2*i**2 + 1 Let f(b) = 4*b**2 + 4. Let o(j) = 5*j**2 + 4. Suppose -m - 3*m = a - 8, 2 = 2*m + a. Give m*f(n) - 2*o(n). 2*n**2 + 4 Let r(p) = p. Let u(l) = 2*l**3 - 9*l. Suppose -12 + 22 = -10*j. Calculate j*u(o) - 4*r(o). -2*o**3 + 5*o Let k(y) = -y**3 - 7*y**2 - y + 1. Let d be k(-7). Let p(q) = 4*q**2 - q + 3. Let b(z) = -11*z**2 + 2*z - 8. Determine d*p(h) + 3*b(h). -h**2 - 2*h Let v be ((-12)/1)/(-3) + 1. Let r(x) be the first derivative of -2*x - 11. Let f(g) = -g + 5. Give v*r(y) + 2*f(y). -2*y Let z(w) = -3*w - 7. Suppose -h - 2 = 0, 0 = -4*t - h + 3*h + 24. Let q(c) = t*c + 0*c - 2*c - 4*c - 3. What is 5*q(d) - 2*z(d)? d - 1 Let n(a) = 44*a**2 + a + 2. Let s(o) = -133*o**2 - 4*o - 7. Give -7*n(x) - 2*s(x). -42*x**2 + x Let l(r) = -25*r - 19. Let m(y) = 37*y + 28. Let b(h) = -7*l(h) - 5*m(h). Let o(i) = -5*i - 4. What is -4*b(n) + 7*o(n)? 5*n Let q(o) = -76*o**3 + 32*o**2 - 32*o. Let j(w) = -7*w**3 + 3*w**2 - 3*w. Calculate 32*j(n) - 3*q(n). 4*n**3 Let l = -4 + 2. Let u(y) = y**2 + 2*y - 2. Let w(c) be the third derivative of -c**5/12 - c**4/3 + 3*c**3/2 + 9*c**2. Determine l*w(b) - 9*u(b). b**2 - 2*b Let p(a) = -a + 2. Let i(w) = -3*w + 7. Calculate 4*i(q) - 14*p(q). 2*q Let z(n) = -2*n**2 + 9*n + 15. Let f(i) be the first derivative of i**3/3 - 2*i**2 - 7*i + 7. Give 13*f(t) + 6*z(t). t**2 + 2*t - 1 Let t(j) = -7*j**2 - 9*j + 8. Let o(m) = -m**2 - m + 1. Determine -6*o(a) + t(a). -a**2 - 3*a + 2 Let d(r) = -r**3. Let v(g) = 7*g**3 - 9*g**2 - 9*g - 9. Let m(p) = 3*p**3 - 4*p**2 - 4*p - 4. Let w(s) = 9*m(s) - 4*v(s). Give 4*d(q) + w(q). -5*q**3 Let c(r) = 5*r**2 + 6*r - 11. Let v(n) = -n**2 - n + 2. Calculate 2*c(j) + 11*v(j). -j**2 + j Let j(i) = -6*i - 2. Let h(u) = -3*u - 1. What is 5*h(a) - 3*j(a)? 3*a + 1 Let q(o) = -1. Let p(y) = -3*y + 1. Calculate -p(i) - 3*q(i). 3*i + 2 Let m(i) = -8*i**2 - i - 7. Let v(z) = 9*z**2 + z + 7. Let k(p) = 6*m(p) + 5*v(p). Let n(d) = 2*d**2 + d + 6. Calculate 5*k(s) + 6*n(s). -3*s**2 + s + 1 Let d(j) = j - 5. Let n(k) = -1. Determine -d(r) + 3*n(r). -r + 2 Let d(l) = -7*l + 4. Let v(s) be the third derivative of -7*s**4/24 + 5*s**3/6 - 18*s**2 - 1. What is 5*d(n) - 4*v(n)? -7*n Let c(v) = v**2 - v - 1. Let g(s) = -s**3 + s**2 - s - 1. Let d(b) = 2*b**2 + 3 + b**3 + b**2 - 5*b - 5*b**2. Let q be d(3). Give q*c(l) + 3*g(l). -3*l**3 Let k(b) = 3*b**3. Let t(f) = f**2. Give -k(z) - 2*t(z). -3*z**3 - 2*z**2 Let j(l) = 25*l. Let s(z) = 4*z. Calculate 6*j(k) - 34*s(k). 14*k Suppose -3*s + 11 = -7. Let j(f) = 8*f**2 - 10*f**2 - s*f + 2*f + 2*f. Let o(a) = -4*a**2 - 5*a - 1. Give 5*j(v) - 2*o(v). -2*v**2 + 2 Suppose 4 = 4*n - 5*y + 21, -5*n + 5*y - 15 = 0. Let o(u) = 5*u**2 + 8*u + 4. Let f(d) = d**2 + 2*d + 1. Give n*o(t) - 9*f(t). t**2 - 2*t - 1 Let p(i) = 7*i + 5. Let j = 11 - 21. Let u be ((-18)/15)/(2/j). Let k(l) = -5*l + 6. Let y(q) = -q + 1. Let d(h) = 2*k(h) - 11*y(h). Calculate u*d(v) - p(v). -v + 1 Let a(w) = 20*w**3 + 14*w - 3. Let h be (-4)/6 + 106/6. Suppose 18*u = 17*u + 6. Let c(x) = -7*x**3 + x - 6*x - 2 + 3. What is h*c(k) + u*a(k)? k**3 - k - 1 Let n(u) = -u**2 - u + 1. Let l(a) be the second derivative of 2*a**4/3 + 7*a**3/6 - 4*a**2 - 9*a. Calculate l(v) + 6*n(v). 2*v**2 + v - 2 Let t(p) = p**2 - p + 1. Let y(w) = -3*w**2 + 15*w - 2. Calculate -t(l) - y(l). 2*l**2 - 14*l + 1 Let n(f) = f + 21 - 9 - 8. Let l(h) = 9*h + 33. What is 4*l(b) - 33*n(b)? 3*b Let v(y) = 1. Let r(z) = -6*z**2 + 7. Determine 2*r(t) - 14*v(t). -12*t**2 Let b(o) = -4*o**2 + 3*o - 4. Let w(m) = -9*m**2 + 7*m - 8. Give 14*b(s) - 6*w(s). -2*s**2 - 8 Let s(l) = -4*l**2 + l + 7. Suppose 14 = -5*r + 7*r. Let b(x) = 2*x**2 - 3. What is r*b(c) + 3*s(c)? 2*c**2 + 3*c Let a(f) = f**2 + 4*f + 2. Let z(p) = -2*p - 2*p**2 - 2*p - p - 17 + 15. Determine 3*a(n) + 2*z(n). -n**2 + 2*n + 2 Let w(i) = -9*i**2 + 9*i + 5. Let c(n) = 4*n**2 - 4*n - 2. Suppose -h = 5*u - 69, 5*u - 4*h + 6*h = 68. Calculate u*c(x) + 6*w(x). 2*x**2 - 2*x + 2 Let u(r) = 8*r - 1. Let t(f) = -46*f + 6. Let a(i) = 23*i - 3. Let g(j) = 13*a(j) + 6*t(j). Calculate 6*g(k) - 17*u(k). 2*k - 1 Let i(c) = 7*c + 2. Let x(y) = -y + 1. Let r(l) = -25*l - 1. Let s(d) = -r(d) + 5*x(d). What is 14*i(a) - 5*s(a)? -2*a - 2 Let z(j) = -2*j**3 - 3*j**2 + 6*j. Let x(l) = l**3 + l**2 - l. Let p be (-1 + -1)/((-12)/(-18)). What is p*x(u) - z(u)? -u**3 - 3*u Let z = 7 - 4. Let l(k) be the third derivative of -11*k**5/60 + k**4/3 - 11*k**3/6 - 3*k**2. Let b(f) = 4*f**2 - 3*f + 4. Calculate z*l(v) + 8*b(v). -v**2 - 1 Let o(m) = 4*m**3 - 6*m**2 + 6. Let k(x) = -3*x**3 + 5*x**2 - 5. Give 6*k(j) + 5*o(j). 2*j**3 Let p(m) = m**2 - 2*m. Let g(j) = -5*j**2 + 2*j - j + 10*j + 0*j. Let v(n) = -2*g(n) - 11*p(n). Let k(q) = 4*q**2 + 1. Give -k(s) - 2*v(s). -2*s**2 - 1 Let j(u) = 4*u**2 + 9 + 0*u - 22 + 4*u**2 - 8*u. Let q(p) = 2*p**2 - 2*p - 3. Give 2*j(g) - 9*q(g). -2*g**2 + 2*g + 1 Let s(f) = 2*f**3 - f**2 - 2*f - 3. Let g = -29 + 24. Let a(r) = -4*r**3 + 2*r**2 + 5*r + 7. Calculate g*s(d) - 2*a(d). -2*d**3 + d**2 + 1 Let m(x) = x**2 - x - 1. Let u(j) = -j**2 + 7*j - 15. Let d(l) = -12*m(l) + 3*u(l). Let n(b) = b**2 - 2*b + 2. Calculate 2*d(v) + 33*n(v). 3*v**2 Let n(m) = 6*m**2 - m - 7. Let q(g) = g**2 - g - 1. Let l(k) = n(k) - 3*q(k). Let x = -5 + 10. Let s(i) = 4*i**2 + 2*i - 5. What is x*l(a) - 4*s(a)? -a**2 + 2*a Let d(t) = -2*t**2 - 9*t - 1. Let w(v) = -2*v**2 - 9*v - 2. Determine 3*d(s) - 2*w(s). -2*s**2 - 9*s + 1 Let g(j) = 6*j + 6. Let f(q) = -1. Give 6*f(b) + g(b). 6*b Let k(w) = -17*w - 1. Let l(d) = -1246 + 1246 + 2*d. Determine 2*k(y) + 18*l(y). 2*y - 2 Let c(l) = -3. Let i(f) = -f**3 - 1. Let t be (-5 + 3)*1 + (-9)/(-3). Calculate t*c(b) - 3*i(b). 3*b**3 Let a(i) = -2*i**3 - 18*i + 2. Let y(n) = 2*n**3 + 17*n - 2. Calculate 6*a(t) + 7*y(t). 2*t**3 + 11*t - 2 Let d = -69 - -74. Let s(i) = 7*i**2 + 6*i - 6. Let r(w) = w**2 + w - 1. Give d*s(k) - 30*r(k). 5*k**2 Let v(w) = w - 2. Let z(q) = 2 - 1 + 1 - 2*q. What is 3*v(i) + 2*z(i)? -i - 2 Let q(s) = -3*s. Let x be 0*-3*(-1)/3. Suppose x = 2*c - h - 44, 22 = -2*c + 3*c - 4*h. Let d(b) = 7*b - 15*b - 8*b. Give c*q(z) - 4*d(z). -2*z Let k(l) = -l**3 - 2*l**2 - 3. Let d(t) = t**3 + t**2 + 1. Give 4*d(v) + 2*k(v). 2*v**3 - 2 Let t(k) = -2*k**2 - 5*k + 5. Let g(i) be the second derivative of -i**4/12 - 2*i**3/3 + 2*i**2 - i. Suppose 0 = 4*x - 10*x - 18. Give x*g(a) + 2*t(a). -a**2 + 2*a - 2 Let k(i) = i - 12. Let x(j) = -3. What is -3*k(t) + 12*x(t)? -3*t Suppose -2*k - 9 = d, 4*d - 3*d = -3*k - 14. Let y(u) = u - 2*u - 1 + 5*u + 3. Let v(l) = 5*l + 2. What is k*v(q) + 6*y(q)? -q + 2 Let l(a) = -a + 1. Let z(c) be the second derivative of c**3/2 - 2*c**2 - 3*c. Determine -7*l(b) - 2*z(b). b + 1 Let q(i) = 4*i**3 - 4*i**2 + 3*i - 5. Let u(f) = f**3 - f**2 + f - 1. Calculate -q(j) + 5*u(j). j**3 - j**2 + 2*j Let j = -166 + 54. Let m be 3/(-5) - j/20. Let c(s) = -3*s - 2. Let v(z) = 0*z - 1 - 3*z + z. What is m*c(f) - 8*v(f)? f - 2 Suppose 0 = -0*i + 5*i + 4*o - 27, -2*o + 6 = 0. Let x(f) = f**2 + 4*f. Let m(n) = n**2 + 3*n. Determine i*x(a) - 4*m(a). -a**2 Let o(d) = 5*d**2 + 4*d. Let w(m) = 2*m**2 + 11*m + 8*m**2 - m**2 - 4*m. Give 7*o(h) - 4*w(h). -h**2 Let p(u) = -u + 1. Let h = 16 - 17. Let d(y) = 7*y - 2. What is h*d(i) - 4*p(i)? -3*i - 2 Let t(i) = i**3. Let v(f) = 2*f**3. Let a(z) be the second derivative of -z**3/3 - 3*z**2/2 + z. Let g be a(-3). Calculate g*t(y) - 2*v(y). -y**3 Let i(f) = 4*f**3 + 9*f. Let v(u) = -5*u**3 - 10*u. What is -3*i(k) - 2*v(k)? -2*k**3 - 7*k Let a(i) = 1. Let m(h) = -h**2 - 2*h + 1. Calculate 6*a(l) - m(l)
{ "pile_set_name": "DM Mathematics" }
st derivative of -2 - 2*v - 1/2*v**2. Let c(h) = -3*h + 15. Let x(y) = 2*y - 8. Let z(a) = -3*c(a) - 5*x(a). Determine 5*p(m) - 2*z(m). -3*m Let x(n) be the third derivative of -8*n**2 - 1/6*n**3 - 1/24*n**4 + 0*n + 0. Let i(j) = 5*j + 4. What is i(a) + 3*x(a)? 2*a + 1 Let f(r) = -8*r - 2. Let q(l) = 5*l + 1. Let g(p) = p. Let v(m) = 2*g(m) - q(m). Give 5*f(y) - 12*v(y). -4*y + 2 Let q(r) = -r + 2. Let d(k) = 37*k + 6. Give 2*d(v) - 6*q(v). 80*v Let s(h) = 5*h + 23. Let g(l) = 2*l + 2. Determine -6*g(x) + 2*s(x). -2*x + 34 Let t(c) = -46*c**2 + 88*c**2 + 1 - 43*c**2. Let p(l) = 2*l + 3. Suppose 15 = 5*m - 3*y, -4*m + 11 = 5*y - 1. Calculate m*t(q) - p(q). -3*q**2 - 2*q Let q(y) = -y**2 + y + 1. Let h(l) = 6*l**2 - 6*l - 6. What is h(a) + 8*q(a)? -2*a**2 + 2*a + 2 Let g(u) = 6*u**3 + 17*u**2 + 12*u + 11. Let t(h) = -3*h**3 - 7*h**2 - 6*h - 5. Determine -3*g(i) - 7*t(i). 3*i**3 - 2*i**2 + 6*i + 2 Let v(n) = 22*n + 87. Let u(a) = -7*a - 29. Determine 8*u(z) + 3*v(z). 10*z + 29 Let q(p) = 7*p. Let z(k) = -21*k. Let l(w) = 44*w + 50. Let h be l(-1). Determine h*z(c) + 17*q(c). -7*c Let o(h) = 308180*h + 6 - 308154*h - 1. Let d(i) = -9*i - 2. Determine -17*d(l) - 6*o(l). -3*l + 4 Let g = 397 - 393. Let l(s) = s**2 - 4*s - 4. Let w(q) = 2*q**2 + q**2 + 5 + 7*q + 2 - 4*q**2. Give g*w(y) + 7*l(y). 3*y**2 Let j(p) = -10*p**2 + 20*p + 4. Let z(u) = 9*u**2 - 15*u - 3. Let y(w) = 3*j(w) + 4*z(w). Let q(r) = 19*r**2. Calculate -4*q(g) + 14*y(g). 8*g**2 Suppose 0 = -3*a + 2*a - 1. Let d(m) = -m - 1. Let l(b) = -28*b - 64. Let f(o) = -4*o - 9. Let u(q) = -44*f(q) + 6*l(q). Determine a*u(c) - 10*d(c). 2*c - 2 Let c(v) = 5*v**2 + 2*v - 1. Let w(f) = -8*f**2 - 2*f - 1. Let g(s) = 18*s**2 + 4*s + 3. Let z(q) = 2*g(q) + 5*w(q). Give -2*c(x) - 3*z(x). 2*x**2 + 2*x - 1 Let o(c) = 111*c - 14. Let y(r) = -72*r + 9. Calculate -5*o(k) - 8*y(k). 21*k - 2 Let n(v) = v**2 - 4*v + 10. Let h be n(3). Let p(w) = -w + w - w + h*w - 2*w**2. Let q be 4/14 + 44/(-7). Let o(x) = x. Calculate q*o(y) + p(y). -2*y**2 Let m(g) = 508*g + 220. Let v(d) = -30*d - 13. Let o(p) = 6*m(p) + 104*v(p). Let q(u) = 11*u + 5. Give -5*o(j) - 32*q(j). 8*j Let w(h) = -308*h**2 - h + 3. Let u(f) = -1231*f**2 - 4*f + 11. Calculate -6*u(j) + 22*w(j). 610*j**2 + 2*j Let u(a) = -5*a - 7. Suppose -3*k + 4*k = 9. Let q(f) = -f - 2. Give k*q(l) - 2*u(l). l - 4 Let h(m) = -m. Let x(j) = -8*j - 28. Calculate -6*h(l) + x(l). -2*l - 28 Let p(m) = m - 1. Let d(c) = -7*c + 8. Suppose o + 44 = 144. Let z = -99 + o. Calculate z*d(b) + 6*p(b). -b + 2 Let q(i) = 58*i**2 + 5*i + 9. Let p(w) = 29*w**2 + 2*w + 4. Calculate 5*p(m) - 2*q(m). 29*m**2 + 2 Let z(k) = -149*k - 1. Let d(i) = 5*i. Give 6*d(g) - 2*z(g). 328*g + 2 Let k(z) = -3 - z + 10*z**3 - 15*z**3 + 4*z + 3*z**2. Let j(i) = -38*i**2 - 2 + 5*i**3 - 9*i**3 + 3*i + 40*i**2. Determine 3*j(g) - 2*k(g). -2*g**3 + 3*g Let f = -4 + 12. Let d(j) = -9*j**2 - 3*j + 8. Let b(s) = 3*s**2 + s. Let t(a) = 6*a**2 + 2*a - 1. Let n(u) = -5*b(u) + 3*t(u). Give f*n(i) + 3*d(i). -3*i**2 - i Let k(d) = -2*d - 1. Let y(l) be the first derivative of l**2 + l - 198. Suppose -s - 3 - 3 = 0. Determine s*y(m) - 5*k(m). -2*m - 1 Suppose -9 = 2*p - 5*p, f + 4*p - 8 = 0. Let i(n) = -6*n**2 + n + 4. Let v be 2 - (10 - (0 - -15)). Let j(a) = -11*a**2 + 2*a + 7. Give f*j(k) + v*i(k). 2*k**2 - k Let a be (1 + 0)/(16/(-32)). Let p be 66/55*5/a. Let k(w) = -w**2. Let h(z) = -z**2. Determine p*k(f) + h(f). 2*f**2 Let m(d) = -11*d**2 - 42*d + 6. Let v(u) = 11*u**2 + 44*u - 7. Give 5*m(r) + 4*v(r). -11*r**2 - 34*r + 2 Let w = 3 - 0. Let t(a) be the first derivative of a**4/2 - 7*a**2 + 8*a + 1217. Let p(c) = c**3 - 5*c + 3. What is w*t(o) - 8*p(o)? -2*o**3 - 2*o Let r(y) = 9*y**2 - 4*y - 6. Let q(u) = -u**3 + 5*u**2 - 5*u + 72. Let o be q(6). Let k(w) = -4*w**2 + 2*w + 3. Calculate o*r(g) + 13*k(g). 2*g**2 + 2*g + 3 Let s(c) = 2*c**3 - c**2 + 2*c - 3. Let u = -6 - -3. Let g be 0 - u - 4 - 2. Let n(o) = -5*o**3 + 2*o**2 - 4*o + 7. What is g*n(a) - 7*s(a)? a**3 + a**2 - 2*a Let o(g) = 2*g + 1. Let j(h) = -7*h**2 - 40*h + 5. Let t be j(-6). Let b(l) = 5*l + 1. Give t*o(s) + 3*b(s). s - 4 Let v be 20/(-4) + -1 - 2/(-2). Let c(o) = 2*o - 6. Let a(j) = j - 2. Determine v*c(k) + 16*a(k). 6*k - 2 Let q(g) = 3*g**3 + g**2. Let w(c) = -4*c**3. Give 2*q(x) + 3*w(x). -6*x**3 + 2*x**2 Let i(z) = -z + 14. Let h(j) = -j + 18. Let n(s) = 2*h(s) - 3*i(s). Let f(c) = -3. Determine 5*f(t) - 2*n(t). -2*t - 3 Let u(o) = -9*o - 33. Let x(n) be the third derivative of n**4/12 + 4*n**3/3 + 3*n**2 + 9*n. Calculate -5*u(p) - 21*x(p). 3*p - 3 Let r(l) = -25*l**3 - 4*l**2 - 6*l. Let b(x) = -26*x**3 - 4*x**2 - 8*x - 1. Calculate 3*b(p) - 4*r(p). 22*p**3 + 4*p**2 - 3 Let g(s) = s - 1. Let r = 6 + -3. Let b(p) = -r - 2*p + 2*p + p + p. Let j(i) = -3*i - 22. Let a be j(-8). Determine a*b(w) - 5*g(w). -w - 1 Let l(j) = -67*j - 2. Let o(p) = -132*p - 5. Determine 5*l(g) - 2*o(g). -71*g Let j(u) = -3*u - 330. Let g(o) = -47. Give -15*g(w) + 2*j(w). -6*w + 45 Suppose -43*a - 2 = -2*u - 48*a, a + 5 = 5*u. Let p(y) = -5*y**2 + 3*y + 2. Let m(l) = -l**2 + l + 1. What is u*p(t) - 2*m(t)? -3*t**2 + t Let m(p) = -p - 3. Let n(a) = 8*a - 742. What is 6*m(x) + n(x)? 2*x - 760 Let i(y) = -y**2 + 4. Let c(o) = 15 - 1 - 13*o - 9 + 14*o - 2*o**2. Calculate 2*c(r) - 3*i(r). -r**2 + 2*r - 2 Let n(g) = g - 6567 + 6567 - g**2. Let h(l) = -3*l**2 - 2*l - 2. Give -h(q) - 2*n(q). 5*q**2 + 2 Let x(i) = -23*i**2 - 9*i - 4. Let q(r) = -5*r**2 - 2*r - 1. What is 18*q(y) - 4*x(y)? 2*y**2 - 2 Let n(t) = -t + 2. Let q(c) be the second derivative of -c**4/12 - c**3/3 + 3*c**2/2 + c - 18. Calculate -3*n(w) + 2*q(w). -2*w**2 - w Let m(h) = -h**2. Let l(p) = 2*p**3 + p**2 + 30*p. Give -l(v) - m(v). -2*v**3 - 30*v Let f(u) = -7*u**3 + 4*u. Let i(x) = -2*x**3 + x - 1. Give f(w) - 3*i(w). -w**3 + w + 3 Let s(p) = -8*p - 5. Let i(g) be the second derivative of -2*g**3 - 4*g**2 + 10*g - 8. Suppose 0*v = -2*v - 10. Determine v*i(k) + 8*s(k). -4*k Let i(w) = -w - 5. Let q(s) = 2. Suppose 5*m - 100 = 2*d + 61, 0 = 3*m + 4*d - 81. Let g = -23 + m. Calculate g*q(j) + 3*i(j). -3*j + 1 Let c(d) = 155*d - 3. Let v(z) = 16583*z - 322. What is 322*c(s) - 3*v(s)? 161*s Let v(n) = -3*n + 26. Let r(o) = o + 1. What is -5*r(a) - v(a)? -2*a - 31 Let i(y) = -y**2 + 1. Let f(v) = -v**2 + 1. Let b(k) = -8*k + 77. Let x(h) = -9*h**3 - 2*h**2 - 3*h. Let m be x(-1). Let z be b(m). What is z*i(g) + 4*f(g)? -g**2 + 1 Let x(n) = -5*n - 2. Let w(m) be the first derivative of 2*m**2 + 3*m - 43. What is -3*w(z) - 2*x(z)? -2*z - 5 Let w(x) = 18*x**3 - 6*x**2 + 5. Let m(i) = i**3 - i**2. What is -6*m(y) + w(y)? 12*y**3 + 5 Let c(q) = 1. Let f(t) = 2*t. Let o = -3 - -4. Determine o*f(n) + 3*c(n). 2*n + 3 Let x(q) = 4*q - 13. Let v(t) = 3. Let k(y) = -6*v(y) - x(y). Let o(d) = 1. Give -k(j) - 6*o(j). 4*j - 1 Let n(j) = -2*j + 8. Let c be -2 - 14*(-2)/4. Let d(x) = 3*x - 15. Calculate c*d(u) + 9*n(u). -3*u - 3 Let c(n) = -2*n**2 + 3*n - 9. Let j(g) = 4*g**2 - 7*g + 18. Give -5*c(y) - 2*j(y). 2*y**2 - y + 9 Let n(w) = 4*w**2 - 3*w - 5. Let f(g) = 18 - 17 + 2*g**2 - 2*g - 4. Give 7*f(z) - 4*n(z). -2*z**2 - 2*z - 1 Let z(h) = -20*h. Let i(u) = -3*u - 1. Give -5*i(x) + z(x). -5*x + 5 Let s(w) = w**2 - 2*w + 3. Let r(p) = p**2 - p + 1. Suppose -23 = 5*a - d, 5*a + 24 + 5 = -2*d. Calculate a*r(b) + 3*s(b). -2*b**2 - b + 4 Let w = 77 - 84. Let i(p) = -10*p**3 - 7*p**2 - 4*p. Let f be (2*2 - -2)/2. Let a(u) = 6*u**3 + 5*u**2 + 6*u - f*u + u**3. Determine w*a(x) - 5*i(x). x**3 - x Let p(m) = -9*m**2 + 5. Let z(k) = -5*k**2 + 3. Suppose 228 = -2*i - 4*y, -353 = 4*i - 3*y + 92. Let u = i + 109. Give u*p(d) + 5*z(d). 2*d**2 Let i = -26 - -24. Let s be i/(-1*(-4)/8). Let n(p) = -3*p. Let r(g) be the second derivative of -g**3/6 - 2*g. What is s*r(z) + n(z)? z Let s(y) = 4*y - 9. Let b(z) = -2*z + 5. Let j = 263 - 256. Give j*b(h) + 4*s(h). 2*h - 1 Let l(j) = j - 1. Let g(t) = -51*t - 2. Determine -g(o) + l(o). 52*o + 1 Let d(u) = -2*u + 6*u**2 - 3 - 13*u + 18*u. Let b(q) = 6*q**2 + 2*q - 2. What is -3*b(h) + 2*d(h)? -6*h**2 Let r(i) = 73*i**2 - 12*i + 5. Let o(q) = -74*q**2 + 10*q - 4. Calculate 6*o(n) + 5*r(n). -79*n**2 + 1 Let r(d) = 2*d + 3. Let o(q) = q**3 + 3*q**2 - 6*q - 11. Let b be o(-3). Suppose 0
{ "pile_set_name": "DM Mathematics" }
, -53 Sort 3, -5, -2, -828 in increasing order. -828, -5, -2, 3 Sort -36, 3, -3, -5 in increasing order. -36, -5, -3, 3 Sort -0.8, -0.5, 2.2, 0.1 in increasing order. -0.8, -0.5, 0.1, 2.2 Sort 99/7, 6/5, -3/4 in descending order. 99/7, 6/5, -3/4 Put -1, 0, -3128 in increasing order. -3128, -1, 0 Put -4, 0.037, -5, 0.6, -3 in decreasing order. 0.6, 0.037, -3, -4, -5 Put 2/11, 5, 0.2, -16/9, 0.5 in descending order. 5, 0.5, 0.2, 2/11, -16/9 Sort 0, 9, -4 in decreasing order. 9, 0, -4 Put 1/2, 0.3, 5/4, 0.8 in descending order. 5/4, 0.8, 1/2, 0.3 Sort 5, -5, 4, 43 in increasing order. -5, 4, 5, 43 Put -4, -6, -2/9 in descending order. -2/9, -4, -6 Sort -10, -6, -1 in increasing order. -10, -6, -1 Sort -1, 98, -4 in decreasing order. 98, -1, -4 Put 0.5, -3/2, -1/33 in ascending order. -3/2, -1/33, 0.5 Sort -1, 40/9, -0.3 in increasing order. -1, -0.3, 40/9 Put 46, 9, 5 in decreasing order. 46, 9, 5 Put -0.3, -5, 2 in descending order. 2, -0.3, -5 Sort 0.3, -0.1, 0.5, 0, -263/4. -263/4, -0.1, 0, 0.3, 0.5 Put -462, 0.2, 0.4 in descending order. 0.4, 0.2, -462 Put 2/5, -0.17, 1/15 in ascending order. -0.17, 1/15, 2/5 Put 5, 1701, -3 in descending order. 1701, 5, -3 Sort -3/8, 0.2, 0.298, -1, -0.4 in decreasing order. 0.298, 0.2, -3/8, -0.4, -1 Sort 5, -5, 2/13, -3 in ascending order. -5, -3, 2/13, 5 Put 40, -5, 4, -0.06, -0.5 in decreasing order. 40, 4, -0.06, -0.5, -5 Put 7, -2, 5, 11, 0 in decreasing order. 11, 7, 5, 0, -2 Sort 3, -2, -646 in decreasing order. 3, -2, -646 Sort 50, -25, -1, 4 in descending order. 50, 4, -1, -25 Sort -5, -6, -384, -1, 0. -384, -6, -5, -1, 0 Sort 2, -5, 3, 177 in descending order. 177, 3, 2, -5 Sort 19, 2, -7 in descending order. 19, 2, -7 Sort -2.9, 1, 4, 2/15, 3. -2.9, 2/15, 1, 3, 4 Sort -1, -3, 6, -7 in increasing order. -7, -3, -1, 6 Sort -1/2, -2/15, -2, -10 in decreasing order. -2/15, -1/2, -2, -10 Put 4, 26, -1/2, -2 in increasing order. -2, -1/2, 4, 26 Put -90.6, 0, 0.1, -0.2 in descending order. 0.1, 0, -0.2, -90.6 Put -7, 2, 1 in decreasing order. 2, 1, -7 Sort -1, -3, 11.3, 5 in decreasing order. 11.3, 5, -1, -3 Sort 0.5, -69, -2.5, 3 in increasing order. -69, -2.5, 0.5, 3 Put -90, -4, 8 in decreasing order. 8, -4, -90 Sort 0.3, -118/7, 1, -0.1, -0.4. -118/7, -0.4, -0.1, 0.3, 1 Put -4, 9, -21 in increasing order. -21, -4, 9 Sort -20, -2, -4, 2 in increasing order. -20, -4, -2, 2 Put 7, 3, 2, 5 in decreasing order. 7, 5, 3, 2 Put -0.1, -1, 39, -4, 1/3 in decreasing order. 39, 1/3, -0.1, -1, -4 Put 0, -3, 16, 1, -1 in decreasing order. 16, 1, 0, -1, -3 Sort 287, 3, -3 in descending order. 287, 3, -3 Sort 3, 0, 7, -3, -4 in descending order. 7, 3, 0, -3, -4 Sort -9, -10, 4, -5. -10, -9, -5, 4 Put 2, 3, -208, -3 in ascending order. -208, -3, 2, 3 Put 208, 3/5, -0.1 in decreasing order. 208, 3/5, -0.1 Sort 94, -4, -3. -4, -3, 94 Sort 0, -13, -3, 3, 5 in descending order. 5, 3, 0, -3, -13 Sort 5, -3, 2, -1 in descending order. 5, 2, -1, -3 Sort 0.3, 5, 4 in ascending order. 0.3, 4, 5 Sort 5, -0.4, -6. -6, -0.4, 5 Put -1, 1, -7, 3, 0 in descending order. 3, 1, 0, -1, -7 Put -2/5, 1, 0.9 in decreasing order. 1, 0.9, -2/5 Sort -0.072, -3, 3 in increasing order. -3, -0.072, 3 Put 5, 1, 3, 30, -3 in ascending order. -3, 1, 3, 5, 30 Sort -3, 8, 35. -3, 8, 35 Sort -1, 2, 4, 6 in ascending order. -1, 2, 4, 6 Put -30.8, -0.5, -1/5 in ascending order. -30.8, -0.5, -1/5 Sort -7, 1, -2 in descending order. 1, -2, -7 Put -5, -2, -0.5 in increasing order. -5, -2, -0.5 Sort 4, -5, -3, 5, -193. -193, -5, -3, 4, 5 Sort -1, 1, -5. -5, -1, 1 Put 0, -2, -13, -3 in increasing order. -13, -3, -2, 0 Put -807, -2, -3 in ascending order. -807, -3, -2 Sort 0.07, 1, -1/60 in increasing order. -1/60, 0.07, 1 Sort 2/13, -2, 1, -0.2 in decreasing order. 1, 2/13, -0.2, -2 Sort -28, 5, -41 in decreasing order. 5, -28, -41 Sort -4, -3/19, 0. -4, -3/19, 0 Sort 4, -5, 131 in increasing order. -5, 4, 131 Sort -10, 21, -5, -2 in descending order. 21, -2, -5, -10 Sort 0.1, 2, -18, 1 in descending order. 2, 1, 0.1, -18 Put -1, -2, 2, -4, -20 in descending order. 2, -1, -2, -4, -20 Put 4, -245, 6/7 in descending order. 4, 6/7, -245 Sort -6, -15, 3 in increasing order. -15, -6, 3 Sort 3, -2, -60 in decreasing order. 3, -2, -60 Put -5, -94, 1, 5 in decreasing order. 5, 1, -5, -94 Sort -1, 53, 4, -50 in decreasing order. 53, 4, -1, -50 Sort -10, 1, -3, -5 in increasing order. -10, -5, -3, 1 Sort -2/3, 1/8, -3, 0.2, 301 in decreasing order. 301, 0.2, 1/8, -2/3, -3 Sort 0, 20, -9 in decreasing order. 20, 0, -9 Put 0.1, 1, -23, 0.46 in descending order. 1, 0.46, 0.1, -23 Sort -0.06, -316, -3, -5 in decreasing order. -0.06, -3, -5, -316 Sort 5, 0, 20, -12, -1 in descending order. 20, 5, 0, -1, -12 Put 1, 5, -7 in descending order. 5, 1, -7 Sort 1, 5, -1, 12, 16. -1, 1, 5, 12, 16 Sort -2, 1, -22, 2 in increasing order. -22, -2, 1, 2 Sort 3, 7, -3, -5, 24 in increasing order. -5, -3, 3, 7, 24 Sort -2, -8, 0 in decreasing order. 0, -2, -8 Sort 1, 3, 4, -1 in increasing order. -1, 1, 3, 4 Sort -0.1, 0.0828, -5. -5, -0.1, 0.0828 Put -0.009, 4, 5, -2/9 in decreasing order. 5, 4, -0.009, -2/9 Sort 2, -4, 6, -32 in decreasing order. 6, 2, -4, -32 Sort -1, 1, 0, 18, -60 in descending order. 18, 1, 0, -1, -60 Sort 22/3, -5, -3/4 in ascending order. -5, -3/4, 22/3 Put -2/3937, -1, -3, 1/3, -2/11 in decreasing order. 1/3, -2/3937, -2/11, -1, -3 Put -6, 3, 4, 10, 0 in increasing order. -6, 0, 3, 4, 10 Sort -0.1, 4, 33/7, 3, -10 in descending order. 33/7, 4, 3, -0.1, -10 Put 5, 11, -2, -42, -1 in ascending order. -42, -2, -1, 5, 11 Sort -24, 1, 4, -115 in increasing order. -115, -24, 1, 4 Put -4, 5, 16, -3 in ascending order. -4, -3, 5, 16 Put -3, 4/5, 0.5, 2, 1 in descending order. 2, 1, 4/5, 0.5, -3 Put 0.1, -2/11, 0.2, 6 in decreasing order. 6, 0.2, 0.1, -2/11 Sort 4, -7.23, 2/3. -7.23, 2/3, 4 Sort 0.1, 1, -2/3, 0.4, 2/7 in increasing order. -2/3, 0.1, 2/7, 0.4, 1 Put -0.046, -1, 2 in increasing order. -1, -0.046, 2 Sort -4, -32, 0 in decreasing order. 0, -4, -32 Put -2, -0.1, -73 in increasing order. -73, -2, -0.1 Put -4, -28/159, -2/15 in ascending order. -4, -28/159, -2/15 Sort -23, -3, -27/4, 0, -0.3 in increasing order. -23, -27/4, -3, -0.3, 0 Put -4, -7, 6 in ascending order. -7, -4, 6 Sort 2, 1, 2006, 5. 1, 2, 5, 2006 Put -24, 4, 16, -3, -5 in decreasing order. 16, 4, -3, -5, -24 Sort -53, -5, 2, -3, 5 in descending order. 5, 2, -3, -5, -53 Put 1.2, 2/63, -1/6, -1/7, 5 in descending order. 5, 1.2, 2/63, -1/7, -1/6 Sort -17, 12, -2, -3 in descending order. 12, -2, -3, -17 Put 0.4, -0.5, -0.131, -0.2 in decreasing order. 0.4, -0.131, -0.2, -0.5 Sort -3, -1/3, -4, -5.1. -5.1, -4, -3, -1/3 Sort -3/5, 0.3, 2/7, -5, -12. -12, -5, -3/5, 2/7, 0.3 Sort -2, 0, -300. -300, -2, 0 Sort -1, 24, 31. -1, 24, 31 Sort 1, 2, 42 in ascending order. 1, 2, 42 Put -3, -2, -17, -5 in increasing order. -17, -5, -3, -2 Sort -3, 3, 981 in ascending order. -3, 3, 981 Put 3, 2, 30 in increasing order. 2, 3, 30 Sort -0.2, 3/37, 1/7, -2 in descending order. 1/7, 3/37, -0.2, -2 Sort 1/8, 4, -0.7 in descending order. 4, 1/8, -0.7 Sort -1/4, 0.4, 2, -5 in decreasing order. 2, 0.4, -1/4, -5 Sort 0, 4, -5, 8, -14 in decreasing order. 8, 4, 0, -5, -14 Sort 0.38, 1/6, 0.3, -2/5 in decreasing order. 0.38, 0.3, 1/6, -2/5 Sort 1/3, 1, -73, -0.5, -4 in decreasing order. 1, 1/3, -0.5, -4, -73 Sort -10, -2/11, 8, 2, 2/7 in decreasing order. 8, 2, 2/7, -2/11, -10 Sort -0.1, 5, 103 in decreasing order. 103, 5, -0.1 Put -5, -2, -15, -3 in increasing order. -15, -5, -3, -2 Put -22, 3, 0, 4 in descending order. 4, 3, 0, -22 Sort 10, -17, 2/17. -17, 2/17, 10 Sort -1/4, -2, -0.182, 0.4 in decreasing order. 0.4, -0.182, -1/4, -2 Put -6, 10, -15, -3, -2 in ascending order. -15, -6, -3, -2, 10 Sort 190, -4, 21. -4, 21, 190 Sort 0, -1, 0.2, 442 in decreasing order. 442, 0.2, 0, -1 Put -4, 7, 92, 4 in ascending order. -4, 4, 7, 92 Put 5, -4, 3, 20 in descending order. 20, 5, 3, -4 Sort -2, 159, 2/11 in decreasing order. 159, 2/11, -2 Sort 1/3, 5, 0.04, -0.3. -0.3, 0.04, 1/3, 5 Sort 1, -5, 0, 611 in descending order. 611, 1, 0, -5 Put -2, -1, -130, 3 in decreasing order. 3, -1, -2, -130 Sort -3, -5, 97 in descending order. 97, -3, -5 Put 38, -4, 1 in ascending order. -4, 1, 38 Sort -1, -0.29, 26. -1, -0.29, 26 Put
{ "pile_set_name": "DM Mathematics" }
d**2. -5*d**2 Collect the terms in -621*w - 623*w - 804*w + 563*w. -1485*w Collect the terms in 418*g**2 - 846*g**2 - 637*g**2. -1065*g**2 Collect the terms in 30 - 3 + 1 - 28 - 11*w. -11*w Collect the terms in -72*x - 16*x - 11*x + 0*x. -99*x Collect the terms in -9 - 1545*h**3 + 31 - 9 - 13. -1545*h**3 Collect the terms in -30637672*y + 30637678*y + 2 + 4 - 6. 6*y Collect the terms in -179*f**2 + 46*f**2 + 39*f**2 + 38*f**2 + 42*f**2. -14*f**2 Collect the terms in -1 + 768915*b + 1 - 768908*b. 7*b Collect the terms in -95*t + 16*t - t + 17*t - 67*t. -130*t Collect the terms in -18*o**3 + 307586 - 307586. -18*o**3 Collect the terms in -8662 - 8661 + 2*t + 25985 - 8662. 2*t Collect the terms in 3113 - 991*y**3 + 999*y**3 - 3115. 8*y**3 - 2 Collect the terms in -1 + 4*w - 21*w + 185*w**2 + 19*w + 1. 185*w**2 + 2*w Collect the terms in -45733 + 249*s + 22866 + 22865. 249*s - 2 Collect the terms in -12*x**3 - 14*x - x + 15*x - 8*x**3. -20*x**3 Collect the terms in 173*f**2 - 77*f**2 - 94*f**2. 2*f**2 Collect the terms in -10*b - 1 - 22*b + 35*b + 1. 3*b Collect the terms in -1660*b - 1 + 1680*b - 2. 20*b - 3 Collect the terms in -4 + 138*y**2 + 4 - 54*y**2 - 92*y**2. -8*y**2 Collect the terms in -459*y + 2 - 1 - 1 - 113*y**2 + 457*y. -113*y**2 - 2*y Collect the terms in -26832 + 34*q + 26832. 34*q Collect the terms in 5110*a - 2525*a - 2586*a. -a Collect the terms in -302 + 302 - 12347*o. -12347*o Collect the terms in -219*s**2 - 219*s**2 + 436*s**2 - 457*s**3. -457*s**3 - 2*s**2 Collect the terms in 340*u**2 + 1 + 364*u**2 - 696*u**2. 8*u**2 + 1 Collect the terms in -20721*l**3 - 20572*l**3 + 41291*l**3. -2*l**3 Collect the terms in -5*q**3 - 1157277*q**2 + 4*q**3 + 1157277*q**2. -q**3 Collect the terms in 2 - 2860091*r - 4*r**2 + 2860091*r. -4*r**2 + 2 Collect the terms in 14846*j**2 - 29626*j**2 + 14813*j**2. 33*j**2 Collect the terms in -142*f**3 + 1081*f**2 + 17*f**3 - 1081*f**2. -125*f**3 Collect the terms in 0 + 1833*f**3 + 0 - 1845*f**3 + 2*f**2. -12*f**3 + 2*f**2 Collect the terms in -50*o**2 + 28*o**2 - 10 + 23*o**2. o**2 - 10 Collect the terms in 370*b**2 - 12*b + 23*b - 1 - 11*b. 370*b**2 - 1 Collect the terms in 2*z**2 + 105 - 211 + 107 - 11*z**2. -9*z**2 + 1 Collect the terms in -42*t**2 - 46*t**2 - 57*t**2 + 152*t**2. 7*t**2 Collect the terms in 36*o**2 - 3*o**2 - 531*o**2. -498*o**2 Collect the terms in -49*d + 3*d**2 + 8*d**2 - 2*d**2 - 39*d. 9*d**2 - 88*d Collect the terms in 5*x + 59*x**2 + 221*x**2 - 4*x. 280*x**2 + x Collect the terms in -510*b - 3*b**2 + 55 - 27 + 187*b - 27. -3*b**2 - 323*b + 1 Collect the terms in -17*x**2 - 374*x**2 - 271*x**2. -662*x**2 Collect the terms in -413*l + 1381*l - 47*l + 677*l. 1598*l Collect the terms in 804*u + 785*u**3 - 804*u. 785*u**3 Collect the terms in -1136*s**3 + 386*s**3 + 370*s**3 + 377*s**3. -3*s**3 Collect the terms in -372*u + 1115*u - 363*u - 372*u. 8*u Collect the terms in 25*k + 23*k + 20*k - 71*k. -3*k Collect the terms in 24*h - 310*h - 26552109 + 26552109. -286*h Collect the terms in -1265 + 2542 - 9*z - 1273. -9*z + 4 Collect the terms in -26*v - 45*v**3 + 43*v - 17*v. -45*v**3 Collect the terms in 10092*r - 3996*r + 6578*r. 12674*r Collect the terms in -894324295*c + 2*c**2 + 894324295*c. 2*c**2 Collect the terms in -101*t + 42*t + 27*t + 50*t. 18*t Collect the terms in -2 - 6*k + 12 + 0*k + 4*k. -2*k + 10 Collect the terms in -6882*m**3 + 4254*m**3 + 2634*m**3. 6*m**3 Collect the terms in 198*r**3 - 130*r**3 + 123*r**3. 191*r**3 Collect the terms in 64*b + 2*b**3 - 11*b - 3*b**3 - 26*b + 6*b. -b**3 + 33*b Collect the terms in 1670*n**2 + 4*n - 4*n + 1676*n**2 - 3337*n**2. 9*n**2 Collect the terms in 6*a**3 + 8*a**3 - 74326*a + 74326*a. 14*a**3 Collect the terms in 28 + 4 - 4*j**2 - 3 - 3*j**2. -7*j**2 + 29 Collect the terms in -12*f + 57*f**3 - 16*f - 59*f**3 - 25*f**2 + 25*f**2. -2*f**3 - 28*f Collect the terms in -424*h + 112*h + 102*h + 113*h + 116*h. 19*h Collect the terms in 334 - 108 - 117 - 109 - 4*q. -4*q Collect the terms in 5*t + 17 + 66 - 22. 5*t + 61 Collect the terms in 5290613 + 5*h**2 - 5290613. 5*h**2 Collect the terms in -6355059*x + 6355059*x - 34*x**2. -34*x**2 Collect the terms in i**3 + 84 + 0*i**3 - 107. i**3 - 23 Collect the terms in -13*d + 16*d - 8*d**2 - 3*d - 58*d**2. -66*d**2 Collect the terms in -14*q + 2*q**2 + 23*q - 8*q + 23*q. 2*q**2 + 24*q Collect the terms in -1519*s**3 - 49 + 17 + 14 + 15. -1519*s**3 - 3 Collect the terms in 99891126 - 99891126 + x. x Collect the terms in 24 - 60 + 36 - 32*z + 28*z. -4*z Collect the terms in -2*q + 0*q + 1096*q**2 - 4 + 13. 1096*q**2 - 2*q + 9 Collect the terms in -27699*f**3 + 27702*f**3 + 11 + 0. 3*f**3 + 11 Collect the terms in -4 - 1369*l + 14 - 3 - 8. -1369*l - 1 Collect the terms in -3*v**2 + 8*v**2 + 18*v**2 + 12*v**2 + 3. 35*v**2 + 3 Collect the terms in -9844*y + 9844*y - 27*y**2 + 32*y**2. 5*y**2 Collect the terms in 17*h**2 + 68*h**2 - 85*h**2 - 11*h**3. -11*h**3 Collect the terms in -653 - 598 + 3*m + 1251. 3*m Collect the terms in -1117*c**2 + 429420 - 429420. -1117*c**2 Collect the terms in -5420*b + 2731*b - 763*b. -3452*b Collect the terms in -118176 - 26*u**2 + 118176. -26*u**2 Collect the terms in 3*a + 13731 - 6861 - 6870. 3*a Collect the terms in 4*n - 5 - 18*n + 4 - 7 - 5*n. -19*n - 8 Collect the terms in -30*a**2 + 2657*a + 30*a**2 + a**3. a**3 + 2657*a Collect the terms in 4*n - 16*n**2 + 27*n**2 - 2*n + 40*n**3 - 11*n**2. 40*n**3 + 2*n Collect the terms in 93*l + 11 + 94*l + 94*l - 283*l. -2*l + 11 Collect the terms in 3*h**2 + 4*h - 204 + 0*h - 35. 3*h**2 + 4*h - 239 Collect the terms in -860*p - 234*p - 291*p - 529*p. -1914*p Collect the terms in -4*g + 5*g**2 + 4*g**2 + 4*g. 9*g**2 Collect the terms in -36*a + 10*a**2 - 11*a**2 + 7 + 0. -a**2 - 36*a + 7 Collect the terms in 74610*s - 74610*s - 8*s**3. -8*s**3 Collect the terms in 270763 - v + 270783 - 541546. -v Collect the terms in -5*x + 6*x + 6*x - 9*x - 7*x + 7*x. -2*x Collect the terms in -38*s**3 - 70*s**3 - 78*s**3 + 192*s**3. 6*s**3 Collect the terms in -2632*q + 2632*q - 8*q**2 - 6. -8*q**2 - 6 Collect the terms in 0 + 24 - 24 + 106*x - 119*x. -13*x Collect the terms in 2*x**2 + 113*x + 2323664 - 2323664. 2*x**2 + 113*x Collect the terms in -28 + 3*l - 23 - 1 - 8. 3*l - 60 Collect the terms in -15399*o**2 + 30796*o**2 - 15396*o**2. o**2 Collect the terms in 7 - 2 - 6*a - 11 + 7 - 1. -6*a Collect the terms in -41*i**2 + 55*i**2 - 25*i**2. -11*i**2 Collect the terms in -3*y - 2*y + 2*y + y. -2*y Collect the terms in -2468*i + 4939*i - 2468*i. 3*i Collect the terms in -1807*v - 2*v**2 - 7*v**2 - 2*v**3 + 12*v**2. -2*v**3 + 3*v**2 - 1807*v Collect the terms in -3*a**3 + 5*a**3 - 6008 - 285. 2*a**3 - 6293 Collect the terms in 3 - 99*c**2 + 314*c**2 - 3 - 93*c**2 - 121*c**2. c**2 Collect the terms in -121 - 193 + 292 - 8*r**3. -8*r**3 - 22 Collect the terms in -7*w**3 - 1117 + 2194 - 1077. -7*w**3 Collect the terms in -17*i + 6*i + 11*i + 3*i - 8*i + 0*i. -5*i Collect the terms in -186*q + 2026*q + 199*q. 2039*q Collect the terms in -131991*d + 4*d**3 + 131991*d - 16*d**3. -12*d**3 Collect the terms in -10*w + 72*w**3 - 124*w**3 - w**2 + w**2 + 49*w**3. -3*w**3 - 10*w Collect the terms in 42*w + 45*w + 6*w**3 - 136*w + 49*w. 6*w**3 Collect the terms in 807*d - 146*d + 467*d. 1128*d Collect the terms in 0 + 11195*v**3 + 0 - 11155*v**3 + 0. 40*v**3 Collect the terms in 0*w + 2*w + 3*w - 3*w - 3*w. -w Collect the terms in 5915 - 5915 + 6*y**2. 6*y**2 Collect the terms in -4099*w**2 + 12276*w**2 - 4104*w**2 - 4092*w**2. -19*w**2 Collect the terms in 12*i**3 + i**2 - 14*i**3 + 181*i**2 + 117*i**2. -2*i**3 + 299*i**2 Collect the terms in 4073*b**3 - 2040*b**3 - 2031*b**3. 2*b**3 Collect the terms in 0 - 1 - 12147*w**2 + 0 - 6. -12147*w**2 - 7 Collect the terms in -64*l**2 + 307*l**2 - 226*l**2. 17*l**2 Collect the terms in 4 + 10 + 180*p - 1 - 172*p + 0. 8*p + 13 Collect the terms in 2*f**2 - 17052910 + 17052910. 2*f**2 Collect the terms in -11*h**2 - 7*h**2 + 33*h**2 - 18*h**2 - 26*h**2. -29*h**2 Collect the terms in -25 + 2507*d**3 + 25 - 2488*d**3. 19*d**3 Collect the terms in -g**2 - 6307*g**3 + 6305*g**3 + g**2. -2*g**3 Collect the terms in 18015*m**2 - 36012*m**2 + 18028*m**2. 31*m**2 Collect the terms in 201*r**3 -
{ "pile_set_name": "DM Mathematics" }
of 43323? 3 What is the ten thousands digit of 11813? 1 What is the hundreds digit of 2955? 9 What is the ten thousands digit of 15138? 1 What is the units digit of 1811? 1 What is the ten thousands digit of 47337? 4 What is the units digit of 18286? 6 What is the thousands digit of 27729? 7 What is the thousands digit of 10965? 0 What is the hundreds digit of 61448? 4 What is the units digit of 4565? 5 What is the hundreds digit of 915? 9 What is the units digit of 1401? 1 What is the thousands digit of 167707? 7 What is the units digit of 4557? 7 What is the ten thousands digit of 46980? 4 What is the units digit of 1924? 4 What is the units digit of 691? 1 What is the units digit of 6134? 4 What is the tens digit of 11250? 5 What is the tens digit of 1464? 6 What is the tens digit of 50459? 5 What is the thousands digit of 38472? 8 What is the thousands digit of 1223? 1 What is the hundreds digit of 1982? 9 What is the thousands digit of 16073? 6 What is the ten thousands digit of 15516? 1 What is the hundreds digit of 602? 6 What is the thousands digit of 1666? 1 What is the tens digit of 96556? 5 What is the tens digit of 1616? 1 What is the thousands digit of 23304? 3 What is the units digit of 2215? 5 What is the units digit of 46689? 9 What is the units digit of 29362? 2 What is the thousands digit of 3533? 3 What is the tens digit of 2664? 6 What is the hundreds digit of 22486? 4 What is the tens digit of 3872? 7 What is the hundreds digit of 2388? 3 What is the units digit of 1079? 9 What is the ten thousands digit of 28918? 2 What is the hundreds digit of 1303? 3 What is the hundreds digit of 43267? 2 What is the tens digit of 273? 7 What is the ten thousands digit of 56192? 5 What is the thousands digit of 1883? 1 What is the hundreds digit of 35821? 8 What is the hundreds digit of 5245? 2 What is the hundreds digit of 10471? 4 What is the units digit of 11635? 5 What is the units digit of 11908? 8 What is the tens digit of 2941? 4 What is the hundreds digit of 8607? 6 What is the thousands digit of 33585? 3 What is the hundreds digit of 627? 6 What is the tens digit of 967? 6 What is the tens digit of 30336? 3 What is the units digit of 8310? 0 What is the tens digit of 6527? 2 What is the thousands digit of 15256? 5 What is the hundreds digit of 1590? 5 What is the hundreds digit of 2067? 0 What is the hundreds digit of 11280? 2 What is the ten thousands digit of 68041? 6 What is the thousands digit of 1273? 1 What is the thousands digit of 17984? 7 What is the thousands digit of 89449? 9 What is the hundreds digit of 1221? 2 What is the thousands digit of 1566? 1 What is the hundreds digit of 34719? 7 What is the hundreds digit of 1166? 1 What is the units digit of 854? 4 What is the thousands digit of 62290? 2 What is the thousands digit of 123305? 3 What is the ten thousands digit of 133786? 3 What is the hundreds digit of 1514? 5 What is the ten thousands digit of 14016? 1 What is the units digit of 682? 2 What is the tens digit of 16157? 5 What is the units digit of 864? 4 What is the units digit of 3683? 3 What is the tens digit of 33614? 1 What is the units digit of 2125? 5 What is the units digit of 283? 3 What is the hundreds digit of 1365? 3 What is the ten thousands digit of 11084? 1 What is the ten thousands digit of 23533? 2 What is the units digit of 183? 3 What is the hundreds digit of 32366? 3 What is the tens digit of 4707? 0 What is the units digit of 47737? 7 What is the thousands digit of 28117? 8 What is the hundreds digit of 7866? 8 What is the units digit of 35226? 6 What is the ten thousands digit of 18344? 1 What is the units digit of 137? 7 What is the thousands digit of 1511? 1 What is the tens digit of 12614? 1 What is the ten thousands digit of 23198? 2 What is the ten thousands digit of 61797? 6 What is the hundreds digit of 38768? 7 What is the units digit of 4566? 6 What is the tens digit of 73693? 9 What is the units digit of 1204? 4 What is the units digit of 2311? 1 What is the tens digit of 191? 9 What is the units digit of 44244? 4 What is the thousands digit of 1034? 1 What is the hundreds digit of 35726? 7 What is the tens digit of 781? 8 What is the units digit of 13409? 9 What is the thousands digit of 2295? 2 What is the tens digit of 5639? 3 What is the thousands digit of 1172? 1 What is the thousands digit of 19693? 9 What is the tens digit of 5228? 2 What is the ten thousands digit of 40628? 4 What is the units digit of 16409? 9 What is the tens digit of 2719? 1 What is the thousands digit of 4976? 4 What is the thousands digit of 60208? 0 What is the units digit of 3606? 6 What is the units digit of 12326? 6 What is the units digit of 194? 4 What is the tens digit of 1177? 7 What is the hundreds digit of 28307? 3 What is the ten thousands digit of 26160? 2 What is the thousands digit of 1490? 1 What is the tens digit of 14598? 9 What is the hundreds digit of 5909? 9 What is the units digit of 1407? 7 What is the tens digit of 24788? 8 What is the tens digit of 344? 4 What is the tens digit of 933? 3 What is the hundreds digit of 2868? 8 What is the units digit of 6? 6 What is the units digit of 6065? 5 What is the units digit of 2757? 7 What is the hundreds digit of 1185? 1 What is the units digit of 2431? 1 What is the units digit of 1897? 7 What is the hundreds digit of 4530? 5 What is the hundreds digit of 18817? 8 What is the thousands digit of 20395? 0 What is the units digit of 4582? 2 What is the tens digit of 611? 1 What is the tens digit of 76528? 2 What is the tens digit of 5727? 2 What is the ten thousands digit of 72674? 7 What is the hundreds digit of 5138? 1 What is the units digit of 5813? 3 What is the units digit of 445? 5 What is the units digit of 3553? 3 What is the hundreds digit of 15215? 2 What is the thousands digit of 31162? 1 What is the ten thousands digit of 38918? 3 What is the tens digit of 256? 5 What is the units digit of 4490? 0 What is the hundreds digit of 20850? 8 What is the hundreds digit of 11543? 5 What is the tens digit of 84110? 1 What is the hundreds digit of 1306? 3 What is the tens digit of 732? 3 What is the hundreds digit of 319? 3 What is the tens digit of 7206? 0 What is the tens digit of 8212? 1 What is the ten thousands digit of 114407? 1 What is the hundreds digit of 97094? 0 What is the hundreds digit of 988? 9 What is the units digit of 29934? 4 What is the hundreds digit of 324? 3 What is the thousands digit of 63598? 3 What is the ten thousands digit of 31402? 3 What is the hundreds digit of 121682? 6 What is the tens digit of 5922? 2 What is the thousands digit of 75424? 5 What is the tens digit of 92653? 5 What is the tens digit of 4667? 6 What is the hundreds digit of 2779? 7 What is the units digit of 14004? 4 What is the units digit of 3677? 7 What is the hundreds digit of 4502? 5 What is the thousands digit of 1150? 1 What is the tens digit of 18437? 3 What is the thousands digit of 7726? 7 What is the tens digit of 4542? 4 What is the hundreds digit of 37512? 5 What is the tens digit of 62881? 8 What is the units digit of 6058? 8 What is the thousands digit of 3535? 3 What is the tens digit of 2231? 3 What is the tens digit of 45559? 5 What is the units digit of 670? 0 What is the units digit of 29392? 2 What is the tens digit of 2706? 0 What is the units digit of 45653? 3 What is the ten thousands digit of 44497? 4 What is the units digit of 9090? 0 What is the units digit of 40106? 6 What is the units digit of 8301? 1 What is the units digit of 1818? 8 What is the units digit of 3578? 8 What is the thousands digit of 15023? 5 What is the hundreds digit of 1347? 3 What is the thousands digit of 3060? 3 What is the tens digit of 66629? 2 What is the tens digit of 1349? 4 What is the ten thousands digit of 56307? 5 What is the tens digit of 24482? 8 What is the hundreds digit of 976? 9 What is the hundreds digit of 7353? 3 What is the units digit of 97? 7 What is the ten thousands digit of 17621? 1 What is the thousands digit of 3333? 3 What is the hundreds digit of 8112? 1 What is the units digit of 1382? 2 What is the units digit of 2550? 0 What is the hundreds digit of 203? 2 What is the hundreds digit of 43210? 2
{ "pile_set_name": "DM Mathematics" }
1/(-4) - (-15)/12. Is x > d? False Suppose -2*i - 5*y + 7 = 0, 0 = -5*i + 4*i + y. Is 8/9 != i? True Suppose 4*t - 2 + 5 = 3*r, -3*t = 4*r - 29. Is 7 greater than or equal to r? True Suppose 2*b - 40 = -w, w - 3*w = 5*b - 77. Is 47 less than or equal to w? False Let h = -8.4 - -7.4. Let b = -0.02 - -0.42. Which is bigger: h or b? b Let a = -4 + 28. Suppose -2*t - 9 = t, t = -3*s - a. Is -7 bigger than s? False Suppose 0 = 2*m, 0*r = 2*r - m. Suppose 0 = -2*h + 3*i + 11, -5*h + 3*i + 23 = -r*h. Suppose -4*u = -6*u - 2*n + 2, 4*u = -2*n + 10. Is u at most h? True Let u = 2488/765 + -8/153. Which is greater: u or 3? u Suppose -3*c + 4*d - 18 = 0, 3*c + d = 2*c + 1. Is -8/11 bigger than c? True Suppose -h = k, -2 = 5*k + 4*h - 3. Suppose k = -5*m + 16. Suppose 2*r + 20 = -4*s, -4*r + m*s = -15 - 0. Which is greater: r or -1/8? r Suppose 0 = -3*z - 2 - 4. Suppose 0*f - 3*f - 1 = 4*g, -3 = -3*f. Are g and z equal? False Suppose 5*b = -6 + 1. Is 0 not equal to b? True Let s = 1.9 - 0.4. Let g = -0.5 + s. Are g and 1 nonequal? False Let j = 10 + -18. Let w be (2/j)/((-4)/(-16)). Which is smaller: -2/17 or w? w Let u be (-14)/4*4 - -3. Which is greater: -10 or u? -10 Let i(z) = z**2 + 4*z - 4. Let f be i(-5). Let x(l) = -l + 1. Let d(p) = -5*p - 1. Let h(m) = f*d(m) - 4*x(m). Let u be h(-5). Is u >= 0? True Suppose -7 = -4*j + 2*q + 9, 2*j - 5*q + 8 = 0. Which is smaller: 7 or j? j Suppose 3*h + 3*u = -u + 10, -5*u = -5. Suppose -3*c - c + 1 = g, h*c + 7 = -3*g. Is -2 greater than g? True Let g be 4 + (-1 - 57/36). Let b = -110 + 335/3. Let a = g - b. Which is bigger: a or -1? a Let t(h) = -h**3 + 9*h**2 + 20*h + 26. Let k be t(11). Is 5 less than or equal to k? False Suppose f = -4*x - 0 - 4, 0 = 5*f + 20. Which is greater: -2/5 or x? x Let g(q) = -q + 10. Let c be g(7). Suppose 2*y + 2 = c*y. Which is bigger: 1 or y? y Suppose 0 = -i - 3*i - 4. Is -2/9 less than or equal to i? False Suppose -193 - 50 = 9*j. Is j at most as big as -27? True Let b = 69 + -108. Is b at least -39? True Let y = -1 - -4. Is y greater than or equal to 6? False Let u = 0.13 + -1.63. Let t = -1.4 - u. Which is smaller: -1.8 or t? -1.8 Let h be -10 - (1 - -2 - 6). Let v = h - -6. Which is greater: -1/22 or v? -1/22 Let i = -154207/117 + 1318. Let q = i + -344/819. Are 0 and q unequal? True Let b(o) = -o**2. Let u be b(-2). Let w be u/(-9)*(-1)/(-4). Suppose 0 = -2*g + r, 5*g + 5*r + 3 = 6*r. Which is smaller: g or w? g Let c = -0.04 - 0.06. Let q = -2/107 + -101/321. Do c and q have the same value? False Let g = -66 + 263/4. Does g = 0? False Let s = 30 + -21. Suppose 5*g + 3*x = -s, -3*x = -3*g + 2*g + 9. Let i = 0 - 0. Is i at most g? True Let y = 19 + -1. Suppose 2*j = j - 5*i - y, -i - 8 = -2*j. Let l = 1 - 2. Which is smaller: j or l? l Suppose -2*p - 10 = -7*p. Let y be 1/((-4)/(-2))*p. Is y < -4/11? False Suppose 4*b = 5*b + a - 3, 3*b = a - 3. Which is smaller: b or 33? b Let s(k) = k**3 + k**2. Let v be s(-1). Let b be (-2)/(198/54 - (2 - -1)). Which is smaller: v or b? b Suppose 0 = -2*q, -4*s = -0*s + q + 80. Is -0.1 greater than s? True Let g(f) = 2*f**3 + 4 - 5 + 3*f**2 - f**3 + f. Let h be g(-3). Which is bigger: h or -5? h Suppose -2*r + 6*r - 4*s = 644, r - 4*s - 149 = 0. Let y be (4 - -1)*6/r. Let n = -5 - -5. Are y and n non-equal? True Suppose -v - 32 = -3*v. Is v smaller than 17? True Suppose 0 = -3*x - 12, -4*x + 5*x = -4*k + 4. Which is greater: 5 or k? 5 Let j be 3/(2/(8/(-22))). Is -2 at most j? True Let w(o) = o - 6. Let s be w(-8). Let c = 4 + s. Let d = 9 + c. Is 2 >= d? True Suppose -3*w + 1 = -0*u + u, 5*w = 5*u - 5. Let h = 55/4 + -13. Which is greater: w or h? h Let g be 2/6 - (-105)/9. Suppose -2*d - d = -g. Let o = -443 - -448. Which is greater: o or d? o Let r = 0 + -1. Suppose m + 21 - 22 = 0. Does m = r? False Let v = -3/71 - 56/355. Which is smaller: v or -1/8? v Let u(o) = -o**3 + 13*o**2 - 14*o + 18. Let r be u(12). Is -6 bigger than r? False Suppose -y - 2*y = 303. Is -100 less than y? False Suppose -2*x + 4 = 2*o + 6, -2*x - 2 = 4*o. Which is bigger: x or -1/28? -1/28 Let g be ((-2)/5)/(9/(-90)). Are 8 and g equal? False Let s = 92 + -647/7. Let l(x) = 3*x - 16. Let r be l(12). Let c be r/8 - 6/4. Which is bigger: c or s? c Let v = 4.4 + -4.4. Which is greater: v or -10? v Let f(o) be the second derivative of -o**4/4 - o**3/2 + 3*o**2 + o. Let g be f(-5). Let l be 2 - (-1)/(21/g). Which is smaller: -2 or l? -2 Let t = 1 + 2. Suppose 4*r = -t*v - 3, -r + 2*r + 2*v = -2. Which is smaller: r or -3/4? -3/4 Let p = -18 + 26. Suppose 5*t - 54 = -4. Which is smaller: t or p? p Let r = 1.9 - 2. Let s = r + 0.3. Let u be ((-10)/(-15))/((-1)/3). Which is smaller: s or u? u Suppose -2*m + 4 = -2, -40 = 5*u + 5*m. Does u = -19/2? False Let v = 18 + -64/3. Which is bigger: v or -3? -3 Let r be 9*((-14)/(-3) - 4). Which is greater: r or 3? r Suppose -26 = 3*x - 5. Is -0.1 < x? False Let z be (-368)/40 + 8 + 2/10. Is z at most as big as -1/87? True Let f(w) = w + 1. Let v(q) = q**2 - 5*q - 1. Let t be v(4). Let g be f(t). Is -4 smaller than g? False Let w be (1 + 19/(-4))*4. Let m be 1/3 + 65/w. Let f(j) = j**3 - 6*j**2 - 7*j - 3. Let a be f(7). Which is greater: a or m? a Suppose 0 = -4*d + 4, 29 = 4*w - 0*w + 5*d. Which is smaller: 3 or w? 3 Let f = 2558 - 258360/101. Let j = f - 95/303. Which is smaller: 1 or j? j Let y = 4/11 + 10/33. Let f be (-2)/56 - 2/8. Which is bigger: y or f? y Let f = 40 + -25. Let d = 3 - f. Is -12 >= d? True Let q = 28 - 31. Is q > -6? True Let y = -4 + 6. Let x be 3*(-2 - (-7)/3). Let m be x*(1 + (2 - y)). Is m less than 0? False Let d(k) = k**2 - 2*k + 2. Let c be d(3). Suppose 0 = 3*f - 5*q - 5, 0 = 3*f - c*f + 5*q. Suppose -3 = -2*r + f. Is r < 2/3? False Let h(y) = -y**2 + 2*y + 2. Let j be h(3). Which is bigger: 2/15 or j? 2/15 Let k = -32 - -123/4. Is 0 < k? False Suppose 11*j - 8 = 7*j. Suppose 4*u + 30 = -j. Do u and -7 have the same value? False Let f(h) = 0 + 5 - h - 3. Let t be f(-4). Let w be (-1)/t - 4/6. Which is smaller: w or 0? w Suppose -6 = -3*r, 0*r + r + 6 = 2*w. Let s(q) = -1 + w - q + 8. Let l be s(9). Is l at least 1? True Let s = 3.8 - 4. Let q = 0.1 + s. Let u = 1 + -1. Which is smaller: u or q? q Let s(h) = h**3 + 4*h**2 - 5*h + 1. Let o be s(-5). Let d be ((-12)/188)/((-6)/4). Let n = 194/141 - d. Which is smaller: n or o? o Let m be (5 - 1) + -3 + 4. Suppose 18 = -m*w + 3. Is w smaller than -3? False Let n be (-7)/35*-2 - (-172)/(-330). Which is greater: n or -1? n Let n = 2 - 1. Let i = 10 - 8. Suppose -1 = -h + 4*k + 1, i*h + 4*k = 4. Is n greater than or equal to h? False Let q(v) = -v**2 - 4*v + 3. Let o(i) = -i - 6. Let m be o(-6). Suppose l = -m*l - 5. Let p be q(l). Is -3 less than p? True Let t = -17 - -16.88. Let c = 1.12 + t. Which is smaller: c or 2? c Let p = 0.16 + 0.14. Which is smaller: 2 or p? p Suppose -12 = -x - 4. Are -2 and x non-equal? True Let i(w) = -2*w - 1. Let v be i(7). Let m = -14 - -15. Let y be (m/(-2))/(v/(-6)). Which is bigger: 1 or y? 1 Let z be (-4)/(-24) + (-17)/(-6). Suppose 3*l = 5*k - 5, 0 = 3*l - 0*k + z*k - 3. Is -3/16 greater than or equal to l? False Let n = 228 - 2510/11. Let r be (-2)/(-2) - (-1 + 3). Is r bigger than n? False Let h be (-58)/190 - 2/(-10). Let a be (-26)/65 + 6/(-10). Is h greater than or equal to a? True Suppose -3*f = -2 - 1. Let x = f - 1. Let h be (4/6)/(-2 - x). Does h = 0? False Let n(t) = -t**3 + 2*t**2 + t. Let j be n(0). Let v = 200 - 1003/5. Which is smaller: j or v? v Suppose 4*f + 5 = -5*k - f, -5*k + 4*f + 4 = 0. Which is smaller: 2/243 or k? k Let z = 45 - 44. Is -2/5 smaller than z? True Let l = 41 - 42. Which is bigger: 3 or l? 3 Let w = 31 + -15. Suppose -5*g - 2*v = -3*g - w, 5*v - 16 = -g. Is g >= 5? True Let g = 6 - 2. Let f = 4.1 - g. Let c = 0.335 - 0.035. Which is smaller: f or c? f Let k be (-4)/6*(-18 - -21). Which is smaller: -3 or k? -3 Let p = 6.3 - -0.7. Are 1/2 and p equal? False Suppose 7*k - 2*k = 60. Let b be k*(9/(-12))/(-3). Which is smaller: b or 4? b Let z be 5*-2 - (-5 - -2). Are z and -8 equal? False Let i = 1 - 4. Let r = i - -3. Which is smaller: -1/7 or r? -1/7 Let v = 2528/11 + -230. Is 0 at least v? True Let o = -0.84 + 0.8. Let v = o + 0.17. Let f = v - -0.07. Are f and -1 nonequal?
{ "pile_set_name": "DM Mathematics" }
True Is 116380/7 at least 16627? False Is -0.01 bigger than 6/23? False Which is bigger: 348/1615 or 0? 348/1615 Which is greater: 289 or 1026? 1026 Is -77403 equal to -77407? False Which is greater: 3058842 or 3058843? 3058843 Which is smaller: -36205/47 or -769? -36205/47 Is 8515 < 8506? False Which is smaller: -8395 or -8396? -8396 Is 795877 != 5571140/7? True Which is smaller: -14/6647 or 1? -14/6647 Is -1297760/9 greater than -144197? True Is 584 at most as big as -271.3? False Is -1 bigger than 244/23? False Is -2 != 750/29? True Is -126992 at least as big as 3/7? False Is -92 not equal to 16.154? True Which is bigger: -23042/15 or -1537? -23042/15 Which is smaller: 202 or 147? 147 Which is smaller: -1 or -19/7339? -1 Is -29 less than -6664? False Is -0.2071 less than 9/11? True Are 1 and 208269 unequal? True Is -1634.44 smaller than 0.1? True Which is smaller: 64404 or 64405? 64404 Which is bigger: 2/257999 or -1? 2/257999 Is 321499 not equal to 0.3? True Is -672274 >= -1344547/2? False Which is bigger: -11/325224 or 1? 1 Do 1 and 108/11659 have different values? True Which is smaller: 770 or 914? 770 Which is bigger: -1 or -131/845? -131/845 Which is bigger: 2/3 or -194626? 2/3 Is 9/182575 greater than or equal to 1/4? False Which is smaller: 123.98 or -2/5? -2/5 Is 6441 smaller than 6481? True Which is bigger: -2280 or -2248? -2248 Is 1502 at least as big as 1501? True Is 0 bigger than -1/585950? True Which is smaller: 0.024809 or -0.02? -0.02 Does 277/19 = -0.019? False Which is bigger: 49164 or 49161? 49164 Which is smaller: 150 or 0.4043? 0.4043 Is -2/5 less than -3826116? False Is -42160 less than -42158? True Do -3551 and -13 have the same value? False Which is smaller: 0 or -15/422594? -15/422594 Which is smaller: 0.01 or 3870.29? 0.01 Which is greater: -251 or -17097/68? -251 Which is smaller: -4/1467 or 0.13? -4/1467 Which is greater: -4348 or -4330? -4330 Is -0.8 <= 117465? True Which is greater: -39260 or -39262? -39260 Which is smaller: 2454 or 2452? 2452 Are -49775/7 and -7112 equal? False Which is smaller: 39945/164 or 245? 39945/164 Which is greater: 7899 or 7777? 7899 Which is smaller: -3768971 or -3768969? -3768971 Does 1533281 = 1533281? True Are 0 and 2/3815771 nonequal? True Which is smaller: -294 or -377? -377 Is -534 at most -312? True Do -31 and -305 have the same value? False Is 324601 equal to 973799/3? False Which is greater: -1 or -3/766307? -3/766307 Is -922 less than or equal to -968? False Which is bigger: 0 or 14/1889? 14/1889 Are 9200 and 9203 nonequal? True Is -15/2 less than 22.839? True Which is bigger: 2786/79 or 35? 2786/79 Is -46/49375 bigger than 1? False Which is bigger: -96284 or -96278? -96278 Which is greater: 2/21 or -43/385? 2/21 Is 1 at least 104/141925? True Is -1 != -8/19721? True Which is bigger: -3 or -19147/12? -3 Which is smaller: -2/4641 or 1? -2/4641 Is 4/1547309 less than or equal to -1? False Which is smaller: 741662 or 741659? 741659 Which is smaller: -83292 or -83290? -83292 Is 340154/7 <= 48594? True Which is smaller: -0.123 or 41/21? -0.123 Are -51996/31 and -1678 equal? False Is 126/25 not equal to 41? True Which is smaller: 89 or 2249? 89 Which is smaller: 275 or 3/16? 3/16 Are -1.4 and -5522 non-equal? True Which is bigger: 1 or -1/412412? 1 Which is smaller: 0 or -5/180869? -5/180869 Is 15244 > 15242? True Are 2447980 and 2447980 non-equal? False Which is smaller: 0.4 or -384400? -384400 Is 1852 bigger than 1852? False Is 4301 equal to 0.31? False Are 1259 and 1246 non-equal? True Which is bigger: 15166/19 or 799? 799 Is -4 bigger than -14.95? True Is 63040 equal to 63038? False Is -2/3 at most as big as 46976/23? True Is 2776683 smaller than 0.1? False Which is greater: 29 or 3059/103? 3059/103 Is 414927 at most as big as 2904498/7? True Are 640797 and 640797 equal? True Is 10/12271 bigger than 1? False Which is bigger: 2 or 11468? 11468 Which is greater: -1 or 39/1912? 39/1912 Is -17986 less than or equal to -17973? True Is 1813 smaller than -12? False Are 17318 and 17272 nonequal? True Is -531392 >= -531392? True Which is smaller: -163740 or -163730? -163740 Which is smaller: -0.1 or -0.10511? -0.10511 Which is smaller: 1708 or 8.27? 8.27 Which is smaller: 83/11628 or 1? 83/11628 Is -42833 greater than -42830? False Which is smaller: 27/26276 or -1? -1 Which is smaller: -285666 or -285662? -285666 Is 1.088 greater than -16/3? True Which is greater: 89/1024 or 1? 1 Which is smaller: -1 or 166/10807? -1 Which is smaller: 614 or 670? 614 Is -3/286382 > 1? False Is -0.009 bigger than 18/781? False Which is bigger: 12 or 271/21? 271/21 Which is greater: 6349 or 6334? 6349 Are 136663 and 136701 unequal? True Is 6876 != 3? True Is 1/37667 at least -1? True Which is greater: 558/25133 or -1? 558/25133 Is 8/69349 smaller than 1? True Which is smaller: -589 or 41? -589 Are 2 and 685/948 equal? False Which is bigger: 19831 or 416464/21? 416464/21 Is 141/2 > 19? True Which is smaller: 2420 or 2318? 2318 Is -197456 <= -4? True Is 138375 greater than -2/47? True Is 24.73 equal to -0.0316? False Is -145432 not equal to -145435? True Is 0 != 2/427093? True Which is bigger: 6/596171 or 1? 1 Do -1 and 3/3717365 have the same value? False Is 27962 less than or equal to 2/9? False Is 46/453283 < 0? False Which is smaller: 5.47 or 0.14? 0.14 Are -3116542 and -2/3 equal? False Which is smaller: 4320 or 4371? 4320 Which is greater: -4977/2 or -2489? -4977/2 Is -2/21 equal to -51494? False Do -3400 and -101 have different values? True Which is greater: 5315 or 392? 5315 Is 1808383 < 1808382? False Are -2078 and -2078 non-equal? False Is 247 <= -775? False Which is smaller: -1 or -129/547? -1 Which is smaller: -109608 or -109638? -109638 Is -8005/4 at most -2002? False Is -89687 at least as big as -89688? True Which is bigger: -4128 or -4113? -4113 Does 223 = 93.8? False Is 1/9341 <= 1? True Is 19/7596 bigger than -1? True Are 368501/64 and 5758 unequal? True Is -1 at least as big as 41.798? False Is 565346 at most as big as 565343? False Are -19783 and -58 nonequal? True Is -4 greater than or equal to -0.8246? False Which is smaller: 2/7 or 244673? 2/7 Which is greater: -1/12 or 0.069? 0.069 Which is smaller: 120 or 8141/68? 8141/68 Is 298346 at least 298346? True Which is smaller: 3/7984 or -1? -1 Is -30368 <= -63? True Which is smaller: 483.8 or 87? 87 Are -18036 and -1/71 unequal? True Is -2265 smaller than 15? True Which is greater: 0 or 13/5783? 13/5783 Which is greater: 2/156511 or 1? 1 Do -14262 and -14268 have the same value? False Is -14642 at least as big as -14647? True Which is greater: 544 or 0.066? 544 Which is smaller: 5 or 3543/28? 5 Which is greater: -710 or -1477? -710 Is -177852 not equal to -177853? True Which is smaller: 0 or 2555/8? 0 Is -6858815 at most as big as -6858814? True Are -24708 and -24708 equal? True Is -277016 >= -277016? True Which is smaller: 1 or -14/29273? -14/29273 Is -7581/34 bigger than 1/4? False Is -7713 equal to -69413/9? False Which is greater: -560375/4 or -140095? -560375/4 Is -0.2 not equal to -65859? True Is -3946/3 != 33? True Which is smaller: -16113/121 or -133? -16113/121 Is -1705 at most 54/13? True Are -45 and -2193 equal? False Is -59 equal to 13.32? False Is 0.1 <= -1.7897? False Do -15 and 897.1 have different values? True Which is bigger: 202 or 265? 265 Is 59 equal to -10305? False Is 12251 less than or equal to 12262? True Is 2274/9907 bigger than 0? True Which is greater: -14552 or 0.9? 0.9 Which is smaller: 76.1508 or -0.05? -0.05 Which is smaller: 34961 or 34969? 34961 Is 155/307 at least -0.1? True Is -1 at least as big as 183/5050? False Is 2590 smaller than 2561? False Is 451494 equal to 451495? False Is -3141 greater than -27? False Which is smaller: 3450 or 428? 428 Are 1 and -660/23591 equal? False Are -15/4 and 0.263 unequal? True Are 1 and 2/220411 nonequal? True Is -1 != -1803/3865? True Is -43629 at most as big as -43637? False Which is smaller: -79091 or -79093? -79093 Which is smaller: -392 or 34? -392 Are -3059 and -70345/23 equal? False Do 1 and 1024630 have different values? True Do 325870 and 325870 have different values? False Which is bigger: 1 or 18/230779? 1 Which is bigger: 239135 or 239133? 239135 Is -
{ "pile_set_name": "DM Mathematics" }
. Suppose 30 = s + 5*b, a*b - 28 = -s - 2. Calculate the highest common factor of 4 and s. 4 Let z(s) = -6*s**2 - 194*s + 66. Let o be z(-32). Let y = -55 + 107. What is the highest common divisor of y and o? 26 Suppose -162*x + 1136 = -91*x. Calculate the highest common factor of x and 248. 8 Suppose -3*x - 61 = b, 42 = -5*x + 3*b - 55. Let i = x - -22. Suppose 0 = -2*r - 2*g + 8, -r - 3*g + 6 = -0*g. Calculate the greatest common factor of r and i. 1 Suppose -1123 = -6*h + 1613. What is the greatest common divisor of h and 4? 4 Let h = 22 - 6. Let z be (-1 + 2)*-2 + (4 - -78). Calculate the highest common factor of z and h. 16 Suppose -5*v + 14 = -6. Let o be (18/8)/(10 - (-1113)/(-112)). Calculate the greatest common factor of o and v. 4 Let i(u) be the second derivative of 29*u**3/2 - u**2/2 - 18*u. Let o be i(1). Calculate the greatest common divisor of 129 and o. 43 Let t be (-362)/(-5) - (-4)/(-10). Let x = -2 - -5. Suppose x*b - 5*c - 4 = 0, b - 24 = 2*c - 6*c. What is the greatest common divisor of t and b? 8 Suppose 5*d + m = 9*d, 5*d + 4*m - 21 = 0. Let b be d/(-3 + 2 + 2) - -53. Calculate the highest common factor of 54 and b. 54 Let k(q) = q**3 + 17*q**2 - 18*q + 7. Let f(g) = g**2 - 14*g + 22. Let m be f(10). Let w be k(m). Calculate the greatest common factor of w and 14. 7 Suppose -17*n = -18*n + 30. Suppose 5*h - 2*i + 5 = n, -3*h + 4*i + 1 = 0. Let p(v) = 2*v - 3. Let m be p(h). Calculate the highest common divisor of 22 and m. 11 Let r = 129 - -55. Suppose 5*g = -3*l + r, -125 = g - 5*g + 5*l. Suppose 2*h = g + 61. Calculate the greatest common factor of h and 16. 16 Let a be -2 - (17 - -2)*13. Let u = -150 - a. Let x(w) = -19*w - 274. Let p be x(-15). Calculate the greatest common factor of p and u. 11 Let y = 558 - 130. Suppose 4*p - y = -p - 4*f, -4*p + 340 = 2*f. Suppose 0 = 3*m - 4*o - 68, m + o - 16 = 4*o. What is the greatest common divisor of p and m? 28 Let x = -29 - -42. Suppose 108 = 5*u + x. Let q = -176 + 347. What is the greatest common factor of q and u? 19 Suppose 0 = 7*d + 4*d - 154. What is the greatest common factor of d and 147? 7 Suppose 2*f - 18 - 2 = -4*x, -x = -2*f. Let k = -31476 + 31528. Calculate the greatest common divisor of k and x. 4 Let x = 53 - -17. What is the greatest common factor of x and 35? 35 Let c be (-2 + (-14)/(-5))/(10/2350). Calculate the highest common factor of 235 and c. 47 Let g(b) be the second derivative of 7*b**3/3 - 5*b**2 - 16*b. Let m be g(5). Calculate the greatest common divisor of 12 and m. 12 Let t(k) = k**3 + 10*k**2 - 13*k - 14. Let a be t(-11). Suppose 4*i + 8 = a*i. Suppose 0 = i*s + 3*s - 20. What is the greatest common divisor of 4 and s? 4 Let u(t) = -t**2 + t - 10. Let z(n) = n**2 - n + 10. Let x(q) = 4*u(q) + 5*z(q). Let i be x(8). Let p = i - 30. Calculate the greatest common factor of 4 and p. 4 Suppose -182 = -3*o + 5*q, q + 2 = 4. What is the highest common factor of 16 and o? 16 Let a = 28 + 76. Let d be (2 - 3)/((-2)/4). Suppose s + s = x - a, -d*x + s = -217. Calculate the greatest common factor of 44 and x. 22 Suppose -3*h = -12*h - 18. Let s(r) = 9*r - 3. Let v(p) = 5*p - 2. Let k(i) = 6*s(i) - 11*v(i). Let j be k(h). What is the greatest common divisor of 24 and j? 6 Suppose 4*s + 7978 = 3*j, 2*s - 16 = -6. Calculate the greatest common divisor of j and 86. 86 Let j be (1*-214)/((-14)/7). Suppose -41 + j = 2*b. Calculate the greatest common divisor of b and 33. 33 Let v = -18 + 33. Let b be 39/v + 2/5. Calculate the highest common divisor of 15 and b. 3 Let y(f) = -19*f + 165. Let i be y(-9). Calculate the greatest common divisor of i and 7. 7 Let z = 19 + -28. Let j = z - -8. Let n be (4/(-2) - j) + 9. Calculate the greatest common factor of 32 and n. 8 Suppose d - 2 - 14 = 0. Let o = 4 + d. Calculate the highest common divisor of o and 8. 4 Suppose 3*y = -3*p - 3, -4*p + 10 = -4*y - 2*p. Let w be (y/(-5))/(1/440). Calculate the greatest common divisor of w and 44. 44 Suppose 0 = 5*t - 20, 2*t = k + 7*t - 77. Calculate the greatest common factor of k and 798. 57 Let p = 355 + -320. What is the greatest common divisor of 15 and p? 5 Suppose 2*w + 6*q = 9*q + 141, 0 = 5*w + 3*q - 300. Let y(b) = b**2 + 3*b + 5. Let n be y(-4). Calculate the greatest common factor of w and n. 9 Let d = 3729 + -2309. Calculate the highest common divisor of 20 and d. 20 Let r be -1 - ((-8 - 0) + -51). Calculate the highest common divisor of r and 551. 29 Suppose z + 6 = 13. Let g be 3/4*((-145)/(-15) - z). Let n = 12 - 2. Calculate the highest common divisor of g and n. 2 Let d(r) = 7*r**2 - r - 4. Let o be d(-2). What is the highest common divisor of 91 and o? 13 Let n be 1*(-30)/(-10) + 36. Calculate the greatest common factor of 507 and n. 39 Let p be (2*72/(-80))/((-2)/70). Calculate the highest common divisor of 27 and p. 9 Let c = -14 + 26. Let q = -8 + c. Suppose -3*d = -5*m - 3, -q*d + 26 = 5*m - 13. Calculate the greatest common divisor of 9 and d. 3 Suppose -2*n + 34 = -50. Suppose c - 48 = 8. Calculate the greatest common factor of c and n. 14 Suppose -2*v - 126 = -11*v. Calculate the greatest common divisor of 742 and v. 14 Let m = 46 - 26. Suppose -w - 3*s = -4*s - 1, -3*s = -5*w - 5. Let z be 4 - (-1 - w/4). Calculate the greatest common factor of z and m. 4 Suppose -10 = -2*o, -2*l - l - 4*o + 137 = 0. What is the greatest common divisor of 806 and l? 13 Suppose -c = -3*j - 17 - 5, 5*c + 10 = 0. Let r(x) = x**2 + 7*x - 10. Let h be r(j). Let o be 1/h*-300*1. What is the highest common factor of 15 and o? 15 Suppose 0 = -45*r + 15*r + 1080. Calculate the greatest common factor of 666 and r. 18 Suppose 7*i = 2*i + d + 1059, -4*i - 5*d = -824. Let f = i + -103. Calculate the highest common divisor of 24 and f. 12 Let f(l) = 3*l + 25. Let r be f(1). What is the highest common divisor of 644 and r? 28 Let i(c) = c**3 + 6*c**2 - c - 1. Let x be i(-6). Suppose x*z + 17 = 77. Calculate the highest common divisor of 72 and z. 12 Let x be (-94)/3*(19 + -22). Let w = x - 64. Calculate the greatest common factor of 20 and w. 10 Suppose 8 = 2*u - 4*r, 2*u - r = -u + 7. Suppose -4*i = 4*w - 2*i - 184, 2*w - 92 = u*i. Let p = 366 - 251. Calculate the greatest common factor of w and p. 23 Suppose 1219 = 23*q + 253. Suppose 0*d + 3*d + 504 = 0. Let f be d/(-30) - (-2)/5. What is the highest common factor of q and f? 6 Let o(j) = 3*j + 11. Let z be o(0). What is the greatest common divisor of z and 297? 11 Let t = 312 - 158. Let w = 34 + -20. Calculate the highest common factor of w and t. 14 Let c be (-44)/55 - (-3308)/10. What is the greatest common factor of c and 30? 30 Let p(i) = 606*i**2 - 596*i**2 + 11*i + i**3 + 5 + 3. Let k be (1/(-2))/(2/28). Let r be p(k). Calculate the greatest common divisor of 26 and r. 26 Suppose -5*a + 3*x = -140, 140 - 56 = 3*a - 2*x. Calculate the highest common divisor of 434 and a. 14 Let o(v) = 9*v + 1. Suppose 5*x - 19 - 26 = 0. Suppose x = 3*l, 15 = 2*r - r + 4*l. Let j be o(r). What is the greatest common divisor of 70 and j? 14 Let k(g) = -2*g - 1. Let i be (-23)/4 - (-2)/(-8). Let o be (i/5)/(18/45). Let m be k(o). What is the highest common divisor of m and 1? 1 Suppose -212 = 30*o - 26*o. Let a = -41 - o. What is the greatest common factor of a and 60? 12 Suppose -u - 3*u + 216 = 5*n, -5*u - 60 = -2*n. Let h(z) = -22*z + 6. Let x be h(-7). Calculate the highest common factor of n and x. 40 Suppose 4*d - 72 = 2*m + 94, -212 = -5*d - 2*m. Calculate the highest common factor of 567 and d. 21 Let y = 502 - 229. Let h = -153 + y. Calculate the greatest common factor of 15 and h. 15 Suppose 2*w - 11 - 39 = 0. Suppose -l - 22 = -w. Let v be (-6)/(-18) - (-4)/6. Calculate the greatest common factor of v and l. 1 Suppose -5*i + 5709 = 35*z - 32*z, -2 = z. What is the greatest common divisor of 9 and i? 9 Let t(p) = -p**2 + 9*p - 4. Let f be t(6). Suppose 5*u - 186 = h + 28, 3*u + 3*h - 114 = 0. Calculate the greatest common divisor of f and u. 14 Suppose o = -2*u + 28, 9*u = 4*u - 10. Calculate the highest common divisor of o and 176. 16 Let n(g) = -1 - 3 + 1 + 19*g - 8*g. Let a be n(6). Let w(h) = h + 26. Let t be w(16). What is the greatest common divisor of t and a? 21 Let x = 110 - 105. Calculate the greatest common divisor of
{ "pile_set_name": "DM Mathematics" }
) + 30688 Simplify (-3*(sqrt(320) + -2)**2 - (sqrt(320)*2 + 1)**2) + -2. -2255 + 64*sqrt(5) Simplify 3 + (sqrt(85)*2*2 + 5*sqrt(85)*-2)/(sqrt(180)*2 - -4*(sqrt(5)*-1 + sqrt(5))). -sqrt(17)/2 + 3 Simplify ((sqrt(52)*2)/sqrt(4))**2 + 3 - (-5 + sqrt(1053)*2). -18*sqrt(13) + 60 Simplify 4*(sqrt(65)/sqrt(5))**2*-4 + 3 + -5 + ((sqrt(13) + sqrt(13) + -3)**2 + sqrt(13) - sqrt(13)). -149 - 12*sqrt(13) Simplify (sqrt(768)/sqrt(6) + sqrt(8) + (sqrt(48) + (sqrt(48) - sqrt(96)/sqrt(2)))/sqrt(6))/(1*-3*sqrt(12)/sqrt(3)). -2*sqrt(2) Simplify (sqrt(72) + -3*-2*sqrt(72) + sqrt(72) + sqrt(72))**2 - (2*(sqrt(242)*2 + sqrt(242) + sqrt(242)))**2. -9656 Simplify (sqrt(228)/(3*sqrt(12)))**2 + -1 + (-3*6*(sqrt(19) + -2))**2. -1296*sqrt(19) + 67078/9 Simplify -4*((-2*sqrt(88))/sqrt(8) + 3)**2*3*-4. -576*sqrt(11) + 2544 Simplify (sqrt(5)*-2 + 2 + (sqrt(2205)/sqrt(9) - sqrt(5))**2)*-3. -546 + 6*sqrt(5) Simplify (3*-6*sqrt(15)/(sqrt(3) - ((sqrt(96)/sqrt(4))/sqrt(8) + sqrt(3) + sqrt(3)))*1)**2. 405 Simplify ((sqrt(165)/sqrt(3) + sqrt(55))*1)/sqrt(11) - -4*((sqrt(80) - (2 + sqrt(80))) + sqrt(80)). -8 + 18*sqrt(5) Simplify (sqrt(65) - (1*sqrt(65)*-5 - sqrt(65)))/(3*sqrt(405)). 7*sqrt(13)/27 Simplify (2*-2*(sqrt(1100) + 1) - -6*(1*sqrt(1100) + sqrt(1100) + 3))**2. 2240*sqrt(11) + 70596 Simplify 4*(5 + (sqrt(1377) - (sqrt(1377) + sqrt(1377) + 2)) + (sqrt(1377) + sqrt(1377)*-1)*-6)**2 + -4. -216*sqrt(17) + 5540 Simplify -5 + (-3*(0 + sqrt(539)) - sqrt(539))**2 - (-1*sqrt(1331)*2 + 5)**2. 220*sqrt(11) + 3270 Simplify ((sqrt(228)*-6 - -4*(sqrt(513) - sqrt(57) - sqrt(57)))/((sqrt(192)*1 + sqrt(192))*1))**2. 19/4 Simplify ((sqrt(144)/(sqrt(8) + sqrt(8)*3))/(sqrt(144)*-1) + -3)*-3. 3*sqrt(2)/16 + 9 Simplify (2*6*((4*(-1 + sqrt(192) + sqrt(192)) + sqrt(192))*4 + -1))**2. -1410048*sqrt(3) + 35873424 Simplify (-2*sqrt(196) - (sqrt(4) - (sqrt(48)/sqrt(4))/sqrt(3)))/(sqrt(20)/((sqrt(100)*1)/sqrt(10))). -14*sqrt(2) Simplify 5*-1*(sqrt(1088) - (sqrt(1088) + ((sqrt(1088) + 1 + sqrt(1088))*4 + sqrt(1088) + sqrt(1088))**2) - sqrt(1088)) + -1. 3240*sqrt(17) + 544079 Simplify -4*sqrt(7)*-3 + -5 - (sqrt(700) - sqrt(448)*-1). -6*sqrt(7) - 5 Simplify (-6*-1*sqrt(90))/(sqrt(45)/(sqrt(108)/(sqrt(36)/sqrt(3))))*-4. -72*sqrt(2) Simplify (sqrt(160)*2*6)/(sqrt(500)/sqrt(4)). 48*sqrt(2)/5 Simplify (sqrt(168)/(sqrt(7) - 3*sqrt(7)*-3))/(sqrt(1728) - (-2*sqrt(1728)*-3 + sqrt(1728)) - sqrt(1728)). -sqrt(2)/840 Simplify 3 + ((sqrt(108) - sqrt(12))*1)/(sqrt(294) + sqrt(294)*3). sqrt(2)/14 + 3 Simplify -6*(-2 + ((sqrt(432)/(sqrt(108) + sqrt(12)) + sqrt(36))/sqrt(12) - ((sqrt(108)/sqrt(3))/sqrt(12) + -5))**2). -1113/8 - 15*sqrt(3) Simplify 3*(1 + (3 + sqrt(1900) + 0 + 4 + 1)**2). 480*sqrt(19) + 5895 Simplify sqrt(18)/(sqrt(45)/sqrt(5)*3) - ((sqrt(4) - sqrt(4)*3)/sqrt(2) + 0). 7*sqrt(2)/3 Simplify ((sqrt(220)*1)/sqrt(4) - (sqrt(385)*-1)/sqrt(7))/((sqrt(539) - (sqrt(539)*-2 + sqrt(539)))*-3). -sqrt(5)/21 Simplify -1 + (1 + (sqrt(475) + sqrt(475) + 0)*2*6)**2. 240*sqrt(19) + 273600 Simplify -5 + -6*((sqrt(567) + 0)*-3 - -2*(1 + sqrt(567)))**2*2. -6857 + 432*sqrt(7) Simplify ((sqrt(26)*2*6 - (2*sqrt(78))/sqrt(3))/((sqrt(2) - -2*sqrt(72)) + sqrt(4)/(sqrt(2)*2)))**2. 5200/729 Simplify 3 + 6*(sqrt(1331) + 0)*4 + (((sqrt(1331) - -2*sqrt(1331))*2)**2 + sqrt(1331) - (sqrt(1331) - (2*sqrt(1331))**2*-2)). 264*sqrt(11) + 37271 Simplify ((4*(sqrt(640)*1 - sqrt(640)) + sqrt(640))/(-5*((sqrt(80)*3)/sqrt(10) - sqrt(8))))**2. 4/5 Simplify 4*(sqrt(363) + -1) - sqrt(18)/(-1*sqrt(486) - sqrt(6)). -4 + 441*sqrt(3)/10 Simplify (sqrt(156) + 2*-3*sqrt(156) + sqrt(156))/(sqrt(768)*1). -sqrt(13)/2 Simplify (sqrt(18)/((sqrt(72)/sqrt(4))/sqrt(2)) + 2)**2*3. 12*sqrt(2) + 18 Simplify (1*(0 + (-2*sqrt(128) - sqrt(128)) + 1))**2. -48*sqrt(2) + 1153 Simplify ((0 + (sqrt(2448) + sqrt(2448) + -2 + sqrt(2448) + 4 - sqrt(2448) - sqrt(2448) - sqrt(2448)*1*-2))*3)**2. 1296*sqrt(17) + 198324 Simplify (2*(-4*sqrt(2299) + -2 + sqrt(2299) + -2 + sqrt(2299) + -3) + -3)**2. 1496*sqrt(19) + 37073 Simplify 1 + (1*sqrt(72))/sqrt(9)*-1*-5. 1 + 10*sqrt(2) Simplify -1 + ((4*sqrt(832))**2 - (1*((sqrt(13)*-2)**2 - sqrt(13)) - (sqrt(13) - (1 + sqrt(117))))). -sqrt(13) + 13258 Simplify (sqrt(384)*-2)/(sqrt(1200)*2) + 1 + (sqrt(98) + sqrt(98) + -1 + sqrt(98))**2 + sqrt(98) + -1. -177*sqrt(2)/5 + 883 Simplify -1 + -4 + (sqrt(171) + 5*sqrt(171)*-3 + sqrt(171) + 1)**2. -78*sqrt(19) + 28895 Simplify (2*((sqrt(720) + 4)*-2 + 5)*5)**2. 14400*sqrt(5) + 288900 Simplify (sqrt(50)/sqrt(10)*1 - sqrt(5) - (sqrt(5) + sqrt(5)*1 + -1))**2 + 1. -4*sqrt(5) + 22 Simplify (((sqrt(832) + 0)**2 + sqrt(832))*1 - (0 + sqrt(832) + -2)**2) + (sqrt(130)*3)/sqrt(10) + sqrt(13) + 0 + sqrt(13) + -2. -6 + 45*sqrt(13) Simplify (2 + sqrt(6)/sqrt(3))**2 + 3 + -4 + -1 + sqrt(2) + 0. 4 + 5*sqrt(2) Simplify -1 + (sqrt(35) + sqrt(560)*-1 + sqrt(35))/(sqrt(7) - (sqrt(7) - sqrt(140)/sqrt(5)) - sqrt(7)). -2*sqrt(5) - 1 Simplify ((-5 + (sqrt(12) - (sqrt(48)/sqrt(4) + 1 + sqrt(12))))*6)**2. 864*sqrt(3) + 1728 Simplify ((1*sqrt(612)*-4 - sqrt(612)) + sqrt(612) + 4*sqrt(612)*-1)**2. 39168 Simplify 3*(-1 + (sqrt(18) - (sqrt(18) - (3 + sqrt(18) + -1))) + -3). -6 + 9*sqrt(2) Simplify (sqrt(130) + -3*2*sqrt(130) + sqrt(130))/(-4*3*sqrt(10)) + 3. sqrt(13)/3 + 3 Simplify ((sqrt(108)*2 + sqrt(108))*-1)/(sqrt(24)/(sqrt(8)/sqrt(2))). -9*sqrt(2) Simplify (-1*sqrt(152)*-3 - ((sqrt(152)*1 + sqrt(152))*-3 + sqrt(152)))/((sqrt(968)*2 - sqrt(968)) + sqrt(392)*1). 4*sqrt(19)/9 Simplify -2*sqrt(1539) + (sqrt(19) - sqrt(133)/(sqrt(7) + sqrt(63))) + -3*(-3 + sqrt(95)/sqrt(5)). -81*sqrt(19)/4 + 9 Simplify (sqrt(100)/sqrt(5))**2 + 3*sqrt(20)/sqrt(4) + (sqrt(60) + sqrt(1500)*2)/sqrt(12). 20 + 14*sqrt(5) Simplify 4*sqrt(300) + -4 + sqrt(300)*-1 + 2. -2 + 30*sqrt(3) Simplify ((sqrt(1620) - (sqrt(1620) + 1*sqrt(1620)))*-1 + sqrt(1620))/(-3*sqrt(81) + sqrt(9) + sqrt(18)/sqrt(2)*5). -4*sqrt(5) Simplify ((2*sqrt(3136)*-4 + sqrt(3136) + sqrt(3136))/(sqrt(448)*2 + sqrt(448) + sqrt(175)*-2 + sqrt(175) + sqrt(7) + sqrt(7)))**2. 256/7 Simplify -6*(3*sqrt(5) + -1 + (sqrt(245) - (0 + sqrt(245) - sqrt(245) - sqrt(245) - sqrt(245))) + sqrt(5))**2. -18756 + 300*sqrt(5) Simplify (-1*sqrt(110)*1 - sqrt(110) - sqrt(110))/(-2*sqrt(160))*3. 9*sqrt(11)/8 Simplify (1*3*sqrt(539) - (1 + sqrt(539) + 1))**2*-6. -12960 + 336*sqrt(11) Simplify (0 + (sqrt(52) + -2)**2 + (((sqrt(13) + 1 + sqrt(13))*2)**2 - (sqrt(13) + sqrt(13) + -1)*6))*-2. -548 + 8*sqrt(13) Simplify 0 + (sqrt(200)*3 + 2 + (sqrt(2) + sqrt(2)*-4 + 2)*-2)**2. -144*sqrt(2) + 2596 Simplify ((sqrt(175) - (sqrt(175) + (sqrt(175) - (sqrt(175) - sqrt(175)*-2)))*6 - (sqrt(175) - (sqrt(175) + -1 - sqrt(175)))*-1)*-6)**2. 2880*sqrt(7) + 403236 Simplify (-4 + -5 + (-5 + -1 + sqrt(275) + sqrt(275) - (sqrt(275) + 0)**2*-4))*1. 10*sqrt(11) + 1085 Simplify (-2 + (2*(sqrt(57)/sqrt(3) + sqrt(19)) - (sqrt(76) + 2)) + -2)*1. -6 + 2*sqrt(19) Simplify (-3*(sqrt(114) + (sqrt(114) + (sqrt(114)*-2 - sqrt(114)) + sqrt(114))*2 + sqrt(114)))/(sqrt(24)/(sqrt(4)*-3*-5)). 0 Simplify (-5*2*sqrt(68))/(sqrt(40)/sqrt(10)*4). -5*sqrt(17)/2 Simplify ((sqrt(112)/(sqrt(2) + sqrt(4)/sqrt(2) + sqrt(2)) - (sqrt(56) - 1*sqrt(1400)))/(sqrt(32)*2 - sqrt(96)/sqrt(108)))**2 + 5. 1788/121 Simplify (sqrt(1584)*5)/(3*sqrt(484)). 10*sqrt(11)/11 Simplify 2 + (sqrt(180) - sqrt(180)*-1)**2*3 - (5 + (-4 + sqrt(180) + 1)**2). 36*sqrt(5) + 1968 Simplify (sqrt(44)/sqrt(2)*-1 + (sqrt(3168)*2 - sqrt(3168)))/(((sqrt(99)*-2)/sqrt(9) + sqrt(11))*6). -11*sqrt(2)/6 Simplify ((-5*(sqrt(12)*-2 + sqrt(12)) + -5)*-6)**2. -3600*sqrt(3) + 11700 Simplify (0 + sqrt(275) + -1 + -5 + 0 + sqrt(11) + -2 + (sqrt(110) - (sqrt(110) + sqrt(110)*2 + sqrt(110)))/sqrt(10))**2. -48*sqrt(11) + 163 Simplify (-3 + sqrt(40)/sqrt(8) - sqrt(35)/sqrt(7)*-2) + 5. 2 + 3*sqrt(5) Simplify (-2 + sqrt(2299) + 5)**2 - ((sqrt(2299) - (sqrt(2299) + 1) - sqrt(2299)) + 0). 77*sqrt(19) + 2309 Simplify ((1*sqrt(99))/sqrt(3))/(-3*sqrt(11)*-2)*-6. -sqrt(3) Simplify (1*sqrt(152)*6 - ((-2*sqrt(152) + sqrt(152))*-2 + sqrt(152)))/(sqrt(1152)*-2*4). -sqrt(19)/32 Simplify 4*(sqrt(700) - (sqrt(700) - ((-1*sqrt(700) - sqrt(700)) + sqrt(700) + -2))**2). -11216 - 280*sqrt(7) Simplify -1 + (3*sqrt(153)*-4)/(sqrt(54)/(sqrt(6) + sqrt(24)/sqrt(4) - sqrt(6))). -12*sqrt(17) - 1 Simplify -6*((sqrt(5) - (1*sqrt(
{ "pile_set_name": "DM Mathematics" }
t 6.593404 decades to millennia. 0.06593404 What is 0.4475725 millilitres in litres? 0.0004475725 What is fifty-two thirds of a hour in seconds? 62400 How many centimeters are there in 3/5 of a meter? 60 What is 7252.407 kilograms in tonnes? 7.252407 Convert 2.625989g to micrograms. 2625989 How many centimeters are there in 0.184002 kilometers? 18400.2 How many months are there in 9.613435 centuries? 11536.122 How many hours are there in 1/4 of a day? 6 What is 8.391306 kilograms in milligrams? 8391306 What is 772.0422 litres in millilitres? 772042.2 How many months are there in 2/75 of a millennium? 320 What is 3/5 of a millennium in months? 7200 What is 3/25 of a milligram in micrograms? 120 What is 543.9488 centuries in months? 652738.56 How many millimeters are there in three fifths of a centimeter? 6 What is fifty-one quarters of a meter in millimeters? 12750 What is 13/4 of a kilogram in grams? 3250 How many nanometers are there in 97.2132m? 97213200000 What is nine tenths of a gram in milligrams? 900 How many kilometers are there in 888458.4 meters? 888.4584 What is nine tenths of a century in years? 90 How many centimeters are there in 3/16 of a kilometer? 18750 What is 3248.446 millilitres in litres? 3.248446 How many years are there in 945.1606 decades? 9451.606 How many months are there in sixty-five thirds of a year? 260 How many kilograms are there in twenty-one quarters of a tonne? 5250 Convert 0.642589 nanometers to kilometers. 0.000000000000642589 What is 69.85688mg in nanograms? 69856880 Convert 0.4655754 millennia to decades. 46.55754 How many millilitres are there in 302.6888 litres? 302688.8 How many nanometers are there in 10096.9cm? 100969000000 What is fourty-eight fifths of a litre in millilitres? 9600 How many grams are there in 10.95932 tonnes? 10959320 What is one quarter of a meter in centimeters? 25 What is 39.8639 seconds in milliseconds? 39863.9 What is 8549.447l in millilitres? 8549447 How many years are there in seventeen halves of a decade? 85 How many nanograms are there in three fifths of a microgram? 600 How many kilograms are there in 88650.38 milligrams? 0.08865038 How many meters are there in twenty-five halves of a kilometer? 12500 How many minutes are there in 19.979196ns? 0.0000000003329866 Convert 0.9762337 hours to minutes. 58.574022 Convert 71164.07um to meters. 0.07116407 How many years are there in 1/20 of a century? 5 How many seconds are there in nine sixteenths of a hour? 2025 What is 29.15607s in milliseconds? 29156.07 What is seven halves of a millennium in decades? 350 How many centimeters are there in thirty-seven halves of a meter? 1850 How many seconds are there in 0.71243 microseconds? 0.00000071243 How many months are there in 8/3 of a year? 32 Convert 308839.1 centuries to millennia. 30883.91 Convert 73280.69 microseconds to nanoseconds. 73280690 How many litres are there in 741.0054 millilitres? 0.7410054 How many years are there in one tenth of a century? 10 What is 5.949532cm in meters? 0.05949532 How many millilitres are there in 81/2 of a litre? 40500 How many centuries are there in 1.310804 years? 0.01310804 What is 84635.793s in hours? 23.5099425 What is twenty-seven halves of a millennium in years? 13500 How many months are there in 61/2 of a year? 366 What is five quarters of a day in hours? 30 What is 3/50 of a day in seconds? 5184 What is 6.83678 nanograms in tonnes? 0.00000000000000683678 How many decades are there in thirty-three fifths of a century? 66 What is 48.17818 litres in millilitres? 48178.18 What is 34419.64 litres in millilitres? 34419640 How many millilitres are there in one fifth of a litre? 200 What is twenty-five quarters of a meter in centimeters? 625 Convert 4.747302km to micrometers. 4747302000 Convert 98202.5ng to tonnes. 0.0000000000982025 How many litres are there in 751943.2 millilitres? 751.9432 How many micrograms are there in thirty-four fifths of a milligram? 6800 What is 22894.64mg in grams? 22.89464 How many seconds are there in five quarters of a hour? 4500 How many micrograms are there in 5/4 of a milligram? 1250 How many months are there in 11/4 of a millennium? 33000 Convert 0.3827ml to litres. 0.0003827 What is one twentieth of a kilogram in grams? 50 Convert 79.35809l to millilitres. 79358.09 What is 596319.633 minutes in weeks? 59.15869375 How many milligrams are there in 1/20 of a kilogram? 50000 How many micrograms are there in 53.63875 nanograms? 0.05363875 What is 6/5 of a centimeter in millimeters? 12 Convert 2.34326ml to litres. 0.00234326 Convert 612156.5kg to grams. 612156500 Convert 1.7107 millilitres to litres. 0.0017107 Convert 789279.2mg to nanograms. 789279200000 Convert 633044.3 decades to months. 75965316 How many hours are there in 28/3 of a week? 1568 What is 7320.071 days in nanoseconds? 632454134400000000 How many kilograms are there in 27/2 of a tonne? 13500 What is 3/25 of a day in seconds? 10368 What is 25.0689 litres in millilitres? 25068.9 How many days are there in 2633682.33 seconds? 30.482434375 How many grams are there in fifty-two fifths of a kilogram? 10400 How many years are there in 8.00869 millennia? 8008.69 What is 28.2237 centuries in months? 33868.44 Convert 8.786197 micrometers to centimeters. 0.0008786197 How many minutes are there in two fifteenths of a week? 1344 What is twenty-nine halves of a millimeter in micrometers? 14500 What is twenty-one halves of a meter in centimeters? 1050 What is 21/2 of a centimeter in millimeters? 105 How many millennia are there in 1.8156024 months? 0.0001513002 What is one quarter of a week in minutes? 2520 Convert 1928.9157 months to centuries. 1.60742975 How many micrometers are there in eleven tenths of a centimeter? 11000 How many micrometers are there in 5/4 of a millimeter? 1250 What is 3/5 of a litre in millilitres? 600 How many months are there in 6/25 of a century? 288 What is fourty-seven quarters of a millennium in decades? 1175 What is 228.9063 kilograms in tonnes? 0.2289063 What is twenty-five quarters of a millimeter in micrometers? 6250 How many nanometers are there in 27.91783 centimeters? 279178300 What is 3/32 of a millennium in months? 1125 How many months are there in 7/2 of a decade? 420 How many millimeters are there in six fifths of a meter? 1200 What is 5.877098 micrograms in tonnes? 0.000000000005877098 Convert 33.68729l to millilitres. 33687.29 What is 7402.296 kilograms in tonnes? 7.402296 How many millilitres are there in 7/4 of a litre? 1750 How many meters are there in 0.0703958 centimeters? 0.000703958 What is 7.089667l in millilitres? 7089.667 What is one twentieth of a tonne in grams? 50000 What is 7255.837l in millilitres? 7255837 Convert 1091689.5 months to millennia. 90.974125 What is 27/5 of a second in milliseconds? 5400 How many minutes are there in ten sevenths of a week? 14400 What is 0.731472 litres in millilitres? 731.472 What is 9631.479 micrometers in millimeters? 9.631479 How many millilitres are there in 3/8 of a litre? 375 Convert 368963.4 grams to tonnes. 0.3689634 What is 15/4 of a litre in millilitres? 3750 Convert 4.778097 micrograms to nanograms. 4778.097 Convert 0.1946157 decades to centuries. 0.01946157 What is three fifths of a litre in millilitres? 600 What is 0.2520889 milligrams in tonnes? 0.0000000002520889 How many months are there in six fifths of a decade? 144 How many nanometers are there in 3/40 of a micrometer? 75 What is 45/2 of a litre in millilitres? 22500 How many centuries are there in fifty-one halves of a millennium? 255 How many months are there in 7113.852 millennia? 85366224 Convert 84.1970241 seconds to weeks. 0.00013921465625 How many months are there in 63.82193 millennia? 765863.16 How many kilograms are there in 3/40 of a tonne? 75 What is 872265.4 milligrams in grams? 872.2654 What is 7/8 of a century in months? 1050 What is twenty-three sixths of a hour in seconds? 13800 What is 0.1743815 minutes in seconds? 10.46289 How many millilitres are there in three fifths of a litre? 600 What is 828.6589ml in litres? 0.8286589 How many minutes are there in 2619454.8 microseconds? 0.04365758 How many days are there in 6.3550062 microseconds? 0.0000000000735533125 Convert 2.8335km to microm
{ "pile_set_name": "DM Mathematics" }
4*a - 3. Let k be r(-2). Let t = 2 + k. What is the remainder when 41 is divided by t? 8 Let k(q) = 2*q**2 + 7*q - 16. Let l be k(-8). Suppose 3*c = c + l. What is the remainder when 108 is divided by c? 24 Let c = 259 - 127. Suppose 2*m + c = 2*a, -6*a + 243 = -2*a + 3*m. Let u(n) = -191*n + 589. What is the remainder when a is divided by u(3)? 15 Suppose 0*g - 29 = -2*c + 5*g, 3*c + g - 69 = 0. What is the remainder when 1384 is divided by c? 20 Let c(d) = 15*d**3 - 10*d**2 + 4*d - 7. What is the remainder when 404 is divided by c(2)? 80 Calculate the remainder when 350 is divided by 3 + (-7)/(21/(-72)). 26 Suppose p - 14 = -p. Let a(q) = -q + 50. What is the remainder when a(p) is divided by 27? 16 Let f(y) = -39*y. Calculate the remainder when f(-3) is divided by 15. 12 Let z(n) = 3*n**2 - 12*n + 5. Calculate the remainder when 14 is divided by z(4). 4 Suppose -13 - 107 = 5*d. Let p = -17 - d. Let h(q) = -q + 12. Calculate the remainder when p is divided by h(7). 2 Suppose 18 = -3*d + 30. Suppose -d*l + 5 - 61 = -4*k, 4*l = -4*k + 56. Calculate the remainder when (-4)/k - (-5500)/140 is divided by 14. 11 What is the remainder when 898 is divided by -3 + (672/8 - 6)? 73 Suppose 39*v - 5480 = -v. Calculate the remainder when v is divided by 23. 22 Let n(q) = q**2 - 5*q + 6. Let m be n(3). Suppose m = -d + 15 - 7. What is the remainder when 37 is divided by d? 5 Let j = -67 + 196. Let r = j - 90. What is the remainder when 115 is divided by r? 37 Let a(q) = q + 19. Let b be a(16). Let j = 59 - b. Calculate the remainder when j is divided by (-2)/3*-3 - -3. 4 Suppose -26*j + 40 = -194. Let h(p) = -13*p. What is the remainder when h(-2) is divided by j? 8 Suppose -2*g = 5*k - 4*g - 40, 0 = -4*k + 5*g + 15. Let x be 34/(-85) + (-6)/k. What is the remainder when 20 is divided by x/(-4) + 243/36? 6 Suppose 2*a - a = 2*s - 1, -s - 4 = -2*a. Let n be 4*s/12*-39. Let m = 34 - n. What is the remainder when m is divided by 21? 18 Suppose -549 = -26*m + 413. What is the remainder when 131 is divided by m? 20 Let y = 27 + 34. Suppose 4*u - 3*s - 18 = 0, 3*u + 4 = -s + 11. Suppose -u*a = -2*a - y. Calculate the remainder when a is divided by 21. 19 Suppose -9*p - 16 = -106. Let t = 8 + -4. Suppose 3*o = -3, -5*o + 0*o = t*q - 111. What is the remainder when q is divided by p? 9 Let g = 5 + -10. Calculate the remainder when 26 is divided by g/(-20) + (-108)/(-16). 5 Let c = 3 - -10. Suppose 0 = -7*a - 30*a + 811 + 965. Calculate the remainder when a is divided by c. 9 Let t be (1 - 0)/(1/4). Let l(k) = -9*k**2 + 3*k - 8. Let x(f) = 6*f**2 - f + 4. Let s(a) = 3*l(a) + 5*x(a). What is the remainder when s(t) is divided by 13? 8 Suppose 2*y - 397 = -3*i + 229, 0 = -i + 2. Calculate the remainder when y is divided by 79. 73 Suppose 2*j - j - 22 = 3*i, 3*i = -3. Suppose 0 = -t - 11*t + 24. Suppose -j = -t*o + 3. Calculate the remainder when 42 is divided by o. 9 Calculate the remainder when ((-33)/(-22))/(9/12) is divided by 1. 0 Let v be 1 + -1*(-4)/(12/63). Let a = v + -7. What is the remainder when 119 is divided by a? 14 Let w(x) = -x**3 + 4*x**2 + 6*x - 3. Let z be 431/3 + 9/(27/1). Let a = 146 - z. What is the remainder when w(5) is divided by a? 0 Let q be (-1)/(-2)*-10 + -1. Let f(i) = -2*i - 4. Calculate the remainder when 22 is divided by f(q). 6 Let n = -7 + -90. What is the remainder when 34 is divided by (6/5)/(-3) + n/(-5)? 15 Let w be (((-7)/(-2))/(-7))/(2/(-72)). Let c = 26 - w. What is the remainder when 21 is divided by c? 5 Let v = 5 + -1. Suppose -2*j + v*k = -4, 0*j = -3*j + k + 6. Suppose j*f + 1 - 13 = 0. Calculate the remainder when 23 is divided by f. 5 Let m(u) = -1 - 3 + 2 - 9*u. Suppose 9*n = 1 - 10. What is the remainder when 10 is divided by m(n)? 3 Suppose -4*g - 9 = -g. Let k be (g/(-2))/((-3)/16). Let x = 26 - k. What is the remainder when 99 is divided by x? 31 Calculate the remainder when 54 is divided by 0/(0 - -4) + 10. 4 Suppose 25*m = 34*m - 6525. Calculate the remainder when m is divided by 56. 53 Let t = 558 + -509. Let v = -8 - -17. Calculate the remainder when t is divided by v. 4 What is the remainder when -1*1370/15*(-12)/4 is divided by 28? 22 Let s be (-4)/3*(-9)/6. Suppose -b - s = -5. Suppose 0 = 4*f - 10 - 26. What is the remainder when f is divided by b? 0 Suppose 184 = 47*h - 39*h. What is the remainder when 435 is divided by h? 21 Suppose -232*k + 251*k - 20482 = 0. Calculate the remainder when k is divided by 47. 44 Let p(o) = o - 10. Let g be ((-45)/6)/((-2)/4). Let m be p(g). Suppose m*l - 61 = 4. What is the remainder when l is divided by 5? 3 Suppose 26 = 3*n + 5*h, -h = 6*n - n - 58. Suppose 0*d - 38 = -5*p - 2*d, n = 3*d. Let x(y) = 3*y + 1. Calculate the remainder when x(5) is divided by p. 4 Let t(g) be the first derivative of -g**4/4 + 8*g**3/3 + 3*g + 4. Let z be t(8). Suppose z + 17 = 2*p. What is the remainder when 37 is divided by p? 7 Let k = -1612 - -1691. What is the remainder when k is divided by 23? 10 Let s(x) = -x - 17. Let b be (-10)/1 + 0/(-2). Let y be s(b). Let m(c) = -c**3 - 7*c**2 - 2*c + 6. What is the remainder when 37 is divided by m(y)? 17 Suppose 5*t - 968 = -a, -t - 3*a + 770 = 3*t. What is the remainder when t is divided by 49? 47 Let j = 7 + -2. Let t(l) = -17*l + 211. Calculate the remainder when t(11) is divided by j. 4 Let d(x) = 2*x**2 - 3*x + 9. What is the remainder when d(14) is divided by 40? 39 Let l = 38 - 48. Let g = 15 + l. What is the remainder when g is divided by 4? 1 Let l(u) = u**3 + 4*u**2 - 2*u - 8. Let n be l(-4). Suppose n*i = 2*i + 2*f - 28, -24 = -4*i + 4*f. Calculate the remainder when i is divided by 4. 2 Let y = -1 - 0. Let o(v) = 5*v - 4. Calculate the remainder when 30 + 4 + y + -1 is divided by o(3). 10 Let l = -15 + 21. Suppose 737*d - 750*d + 39 = 0. What is the remainder when l - (0/2 - 0) is divided by d? 0 Let p = -102 - -104. Suppose 0 = -p*s, -m + 2*m - 5*s - 38 = 0. What is the remainder when m is divided by 5? 3 Let x(g) = 6*g**3 + 48*g**2 - 8*g - 8. Calculate the remainder when x(-8) is divided by 12. 8 Let r(p) = -48*p - 232. Let o = 14 + -9. What is the remainder when r(-5) is divided by o? 3 Suppose 3*b = -h + 59, h - 32 - 27 = -b. What is the remainder when 235 is divided by h? 58 Let b(u) = u + 20. Let s be b(16). Suppose 91 = -s*m + 37*m. What is the remainder when m is divided by 47? 44 Suppose 0 = 12*s - 4*s - 24. Suppose -s*y + 7 = -2*y. What is the remainder when y is divided by 4? 3 Let t = 39 + -13. Let d(i) = -6*i - 3. Let s(x) = x**2 + 5*x - 8. Let p be s(-6). What is the remainder when t is divided by d(p)? 8 Let z be 1/2 - (-155)/10. Suppose 0 = -3*t + 7*t - z. Suppose t*i - 87 = 13. What is the remainder when i is divided by 7? 4 Let k(t) = 10*t - 3. What is the remainder when k(3) is divided by 8? 3 Suppose -872 = -2*o + 252. Suppose -5*h - f + o = 0, f + f = 2*h - 232. Calculate the remainder when h is divided by 38. 37 Let p = 170 - 76. Suppose -6 = 4*y - p. Calculate the remainder when y is divided by 12. 10 Suppose -299*d + 295*d = -120. Calculate the remainder when 176 is divided by d. 26 Let x(k) = 2*k - 10. Let d be x(5). Suppose -3*s + 7 + 62 = d. What is the remainder when s is divided by -3 - (-1 + 4)*-3? 5 Let k(j) = 7*j + 111. Suppose -99 = o - 2*o. What is the remainder when o is divided by k(-12)? 18 Let i = 6 - 3. Let t = 38 + -86. What is the remainder when ((-32)/t)/((-2)/(-9)) is divided by i? 0 Let s(x) = 23*x - 2. Suppose -4*n + 4*i - 3*i = -25, 0 = n - 5*i + 8. What is the remainder when s(n) is divided by 27? 24 Let a = 1349 + -1121. Calculate the remainder when a is divided by 29. 25 Suppose 266*x = 267*x - 69. What is the remainder when x is divided by 11? 3 Suppose 8 = -0*z + 2*z. Suppose 2*g + 2*c = 80, -z*c + 212 = 5*g + 13. Suppose 0 = -5*j + 73 - 3. Calculate the remainder when g is divided by j. 11 Let r(i) = -i**3 - 5*i**2 - 2*i + 2. Let x(s) = -3*s + 13. Let l(n) = n + 2. Let k be l(4). Let q be x(k). What is the remainder when 57 is divided by r(q)? 9 Let x(c) = 2*c**3 + 40*c**2 - 77*c - 724. Suppose -h + 13 = -60. Calculate the remainder when h is divided by x(-21). 7 Let f(v) = 8*v**2 - 15*v - 163. What is the remainder when f(-7) is divided by 21? 19 Let w = -320 - -413. Calcula
{ "pile_set_name": "DM Mathematics" }
Let l = -15 - -9. Let k = 15 + l. Suppose 0*t = -3*x - 4*t + 47, -3*x + 2 = -5*t. What is the least common multiple of k and x? 9 Let s(z) = -z - 2. Let g(y) = 2*y + 4. Let b be g(-6). Let u = 9 + -5. Calculate the smallest common multiple of u and s(b). 12 Suppose 0 = -5*q + 4*g + 6804, q - g = -q + 2724. Calculate the smallest common multiple of q/77 - (-4)/14 and 20. 180 Suppose 46 = 3*h + 16. What is the smallest common multiple of 12*(15/12 - (-2)/(-8)) and h? 60 Suppose 7*j - 16 - 61 = 0. Calculate the lowest common multiple of j and 44. 44 Let a = 5 + 18. What is the common denominator of a and 125/6? 6 Suppose b - 3*h = 2*h - 20, 3*b + 10 = 5*h. Suppose b*n - 3*n - 18 = 0. What is the lowest common multiple of 8 and n? 72 Let s = 52/3 + -971/42. Find the common denominator of s and (-1)/2 + 4/(-10). 70 Let g = 17263/6 + -2896. Find the common denominator of -1 + 2/((-84)/(-171)) and g. 42 Let i be (-1)/(-1) - 0 - -2. Suppose 0 = i*k + 14 - 50. What is the lowest common multiple of k and 14? 84 Suppose -6 = -v + 16. Suppose 72 = 5*h + n, 4*n + 46 = 4*h - n. What is the smallest common multiple of h and v? 154 Let c(g) = g**3 + 10*g**2 - 11*g + 4. Calculate the lowest common multiple of 28 and c(-11). 28 Calculate the common denominator of ((-9)/8)/((-40)/(-32)) and -37. 10 Let z = 40 + -18. Let y = 4 - 0. Suppose y*m - 27 = 5. What is the least common multiple of z and m? 88 What is the common denominator of 57/8 - (-6 + 5) and 97/2? 8 Let y(d) = -5*d - 4. Suppose -9 = -7*t + 10*t. Calculate the lowest common multiple of y(t) and 11. 11 Let z = -15029173/7010152 + 427/5881. Let i = 34/13 + -5170/1937. Let l = i + z. Find the common denominator of l and 85/2. 8 Let v(q) = -q**2 - 5*q + 7. Let o be 1/2*36/(-3). What is the least common multiple of v(o) and 3? 3 Suppose -60 = -5*z - h, 3*z - 5*h + 36 = 4*z. Calculate the least common multiple of (6/(-5))/(2/(-5)) and z. 33 Let a(g) = -g**2 - 3*g + 2. Suppose -42 + 12 = 5*y + 3*m, -5*y + 5*m = -10. Calculate the lowest common multiple of a(y) and 2. 2 Suppose -f + 40 = 3*f. Let w(p) = -p**2 + 5*p - 1. Suppose 0*o = 2*o - 8. Calculate the smallest common multiple of f and w(o). 30 Let q = 103061/18 - 5732. Calculate the common denominator of -38 and q. 18 Suppose -7*i - 56 = -3*i. Let u = i + 22. Calculate the smallest common multiple of u and 6. 24 Let h = -44 + 69. Let x = h - 11. Calculate the smallest common multiple of 22 and x. 154 What is the common denominator of ((-89)/3)/((-24)/9) and (-10)/(-44)*(-23)/5? 88 Let g = 6/17 + -64/85. What is the common denominator of -87/4 and g? 20 Suppose -8 - 14 = 2*f. Calculate the common denominator of (-114)/(-15)*5/f and 51/11. 11 Let f(x) = x**3 - 11*x**2 - x + 10. Let v be f(11). Let s(l) = l**2 - l - 1. Calculate the least common multiple of s(v) and (-3)/(8/(-6) + 1). 9 Suppose 0 = t + 1 - 7. Suppose i = 4 + 2. Calculate the least common multiple of i and (-112)/(-6) - t/9. 18 Let u(o) = -8*o - o**2 - o**2 - 8 + o**2. Let x be u(-6). Suppose -19 = -x*r + 17. Calculate the smallest common multiple of 3 and r. 9 Let w = 676 + -2074/3. What is the common denominator of 77/8 and w? 24 What is the common denominator of (-3 + -70)/(-15*(3 + -2)) and 13/48? 240 Let a(s) = -s**2 - 7*s + 1. Suppose w - 17 = 2*q, 4*q + 44 = 3*w + w. What is the lowest common multiple of a(q) and 3? 21 Let v = -83/63 + -46/7. What is the common denominator of v and (1925/(-30))/(-5) - 3? 18 Suppose -y - 30 = -5*h, -3*y + 10 = 3*h - 2*y. Calculate the least common multiple of h and 10. 10 Suppose 4 = 4*k, -255 = 5*v + k - 36. Calculate the common denominator of -27/22 and v/(-10)*200/(-224). 154 What is the common denominator of (-74)/(-24) + (-3)/12 and 101/4? 12 Suppose 0 = -4*j - 2*y + 557 + 195, 4*y = 5*j - 940. Calculate the smallest common multiple of j and 14. 1316 Let y be (1/(-2))/((-1)/2). What is the lowest common multiple of (1 + 1)*4 - y and 1? 7 Let f be 3/(-4) + (-42)/8. Let a be (2/f)/((-3)/18). Suppose 0 = -4*m + a*m + 20. Calculate the least common multiple of m and 2. 10 Calculate the common denominator of (25/(-2))/5 + 1/4 and -83/16. 16 Let q(w) = -w**2 + 4*w - 3. Let c be q(4). Let m = c + 0. What is the lowest common multiple of 4 and ((-14)/(-3))/(m/(-9))? 28 Let f(p) = -p + 5. What is the least common multiple of 8 and f(-2)? 56 Let h = -6 - -7. Let u = -3 + h. Calculate the common denominator of (-19)/(-14)*(u - -1) and -67/10. 70 Find the common denominator of 368/(-12)*(-5)/16 and -31/18. 36 Let j = 5709/4 + -1438. What is the common denominator of j and (-70)/(-18)*20/14? 36 Let z be 1 + -2*(-2)/4. Suppose -4*o + 40 - 2 = s, -z*o + 26 = -3*s. What is the lowest common multiple of o and 4? 20 Find the common denominator of -25/4 and (-130)/16 - 0/(-2). 8 What is the common denominator of 14/56 - (-83)/(-36) and -53/10? 90 Suppose -2*z + 28 = 2*z. Suppose -29 = 5*c + 1. Calculate the lowest common multiple of z and ((-84)/c)/(4/2). 7 Let m = 9910 - 559. Let p = -93429/10 + m. What is the common denominator of p and 53/6? 30 Suppose -2*j = 2*j. Suppose -4*u + 16 + 8 = j. What is the lowest common multiple of u and 10? 30 Let v = 1 - -1. Calculate the smallest common multiple of v and 3 - 24/(4/(-1)). 18 Let m(z) = -z**3 + 6*z**2 + 7*z + 6. Suppose -p + 14 = p. Let j(y) = y**2 - 2*y. What is the lowest common multiple of m(p) and j(-2)? 24 Let v(j) = j**3 - 21*j**2 + 23*j + 22. Let t be v(19). Let q be 5266/20 - 0/(-1). Let h = t + q. Calculate the common denominator of h and -55/9. 90 Let b = -30 + 32. Suppose -q - 103 = -4*k, -k - 3*q + 28 = -q. Calculate the least common multiple of b and k. 26 Let o = 3651 - 182663/50. What is the common denominator of o and -47/18? 450 Let o(l) = 2*l**2 + 4*l - 6. Let j be o(4). Suppose -4*a = 3*x - j, -3*a = -2*x - x + 63. What is the lowest common multiple of x and 18? 18 Let u = 697/28 - 177/14. Find the common denominator of 71/16 and u. 16 Let t(h) = 8*h**2 - h - 6. Let k(l) = 15*l**2 - 2*l - 11. Let d(v) = 6*k(v) - 11*t(v). Calculate the lowest common multiple of d(-1) and 7. 21 Suppose -4*a + 7 = -9. Suppose -152 + 42 = -5*p + 3*m, 0 = 5*p - 4*m - 110. Calculate the lowest common multiple of p and a. 44 Let w(o) = -13*o - 1. Let y be w(-2). Suppose -10 = -5*s + y. What is the least common multiple of s and 1? 7 What is the least common multiple of ((-24)/14)/(26/(-455)) and 6? 30 Calculate the smallest common multiple of 10 and (-20)/10*(-5)/2. 10 Let y = 5 + -2. Suppose 21 = -y*v + 6*v. Suppose 3*g - v - 2 = 0. Calculate the lowest common multiple of 11 and g. 33 Suppose 0 = -2*y + 3*y - 5*n, -9 = 3*n. Let l be (475 - 1)*y/10. Let j = l + 2761/4. Find the common denominator of j and -57/10. 20 Find the common denominator of -25/2 and 727/(-30) + (-4)/(-10). 6 Let y = -46 - -81. Let m = y + -17. Calculate the smallest common multiple of m and 4. 36 What is the common denominator of 37/4 and 516/270*15/12? 36 Suppose 2*v - 4*n + 17 = -v, -5 = -v - 4*n. Let j(p) = p**3 + 3*p**2 - 4*p - 3. Suppose -30 = -0*g - 5*g. What is the least common multiple of g and j(v)? 18 Let a = 4659/460 + 14/115. Let j = -30819/6290 - 1/3145. Calculate the common denominator of a and j. 20 Let r = -2259 - -7101. Let p = r + -106493/22. Find the common denominator of 0 - (39/(-36) + 4) and p. 132 Let x(v) = -10*v**3 + v**2 + 2*v + 1. Calculate the least common multiple of 4 and x(-1). 20 Suppose -3*c - 3*k + 21 = -24, k - 63 = -5*c. What is the least common multiple of c and 8? 24 Find the common denominator of ((-31)/93)/(1/28) and 52/15. 15 Suppose -3 = 4*b - 2*v - 5, -2*b = 4*v + 14. What is the smallest common multiple of (-40)/5*b/1 and (-40)/(-4) + -1 + -1? 8 Suppose -z - 8*z = -18. What is the least common multiple of 2 and z? 2 Let m(h) = 2*h**2 + 2*h - 4. Calculate the lowest common multiple of 1 and m(2). 8 Let a be 5*(-2 + 72/20). Let n(o) = 9*o**2 + o - 1. What is the common denominator of (-2)/a*2222/(-33) and n(2)? 6 Suppose -3*y + 4*y + 5 = 0. Let k = 2 - 1. Let r = k - y. Calculate the least common multiple of 11 and r. 66 Let l = -13489 + 364144/27. What is the common denominator of 64/15 and l? 135 Find the common denominator of 11/98 and (-606)/(-28)*(-35)/(-30). 196 Suppose 3*l + 13 = -14. What is
{ "pile_set_name": "DM Mathematics" }
6)). Suppose 4*i + i + z = 4*n, -5*i + 15 = 5*n. Solve -10 = 5*b - i for b. -2 Let s = -18 - 4. Let o = 30 + s. Suppose 4*k - 8 = 2*k. Solve -k*f + 0 = -o for f. 2 Suppose 0*v + 2*s + 38 = 4*v, -4 = -2*v - 2*s. Suppose v*h - 13 = 1. Solve 0 = h*t - 0*t + 2 for t. -1 Let q(r) = -r**2 - 22*r + 28. Let z be q(-23). Suppose -3*x - 2*m = -3*m - 56, z*m = 20. Solve o + x = 5*o for o. 5 Let i(t) = 3*t**3 - t**2 + t - 1. Let v be i(1). Let f = -10 - -14. Solve f*g + 4 = v*g for g. -2 Suppose 10*b - 11*b = -7. Suppose -4*g + b*g = 0. Solve g = -4*c - 10 + 2 for c. -2 Let l(z) = -7*z + 40. Let j be l(10). Let u = 34 + j. Suppose -5*x + 4*s = -18, 0 = 5*x - 0*x - 2*s - 14. Solve 0*d + x*d = -u for d. -2 Let v be (-8 + 7)*6/2. Let k be (10/(-5) - v) + 1. Suppose -4*a + 5*h = -4, -1 = -5*a - h + 4. Solve 9 = k*x - a for x. 5 Let y = -171 + 177. Solve 21 = 3*x + y for x. 5 Let n = -2 - -2. Let d = n - 12. Let v = 12 + d. Solve -3*m + v*m = 9 for m. -3 Let o = -153 - -153. Solve -s + 6 - 1 = o for s. 5 Let f(q) = q**3 - 3*q**2 - 7*q + 20. Let z(y) = -8*y - 28. Let p be z(-4). Let h be f(p). Solve 0*n = -2*n - h for n. -4 Suppose -u = 3*s - 20, -3*u + 2 + 3 = -2*s. Solve -u*i = -10*i + 9*i for i. 0 Let l(o) = -o**3 + o**2 + 2*o + 2. Let k be l(-1). Solve -4 = k*s + 2*s for s. -1 Let y(d) = d - 3. Let w(r) = 2*r + 25. Let p be w(-10). Let c be y(p). Solve 0 = -2*a - c for a. -1 Let i = 173 - 171. Solve -i*m - 9 = m for m. -3 Let r(s) = -11*s - 15. Let k(o) = -5*o - 8. Suppose 4*m - 66 = -5*p - 21, 0 = 2*m - 2*p. Let g(q) = m*k(q) - 2*r(q). Let n be g(-4). Solve -x + n + 1 = 0 for x. 3 Let k be -5 + 0 + (-20)/(-5). Let n be (k - -1)*(-2)/(-6). Solve -2*v - 8 = -n*v for v. -4 Suppose 4*v + 7*v - 11 = 0. Suppose 8*d - 23 = v. Solve -d*g = -2*g for g. 0 Let r(h) = -h**3 + 14*h**2 + 15*h + 14. Let v be r(15). Let g be 2/4 + 7/v. Solve w = 2*w - g for w. 1 Suppose 0 = b - 2*b + r - 11, -4*r = -20. Let y be (b/8 - (-1)/4)*0. Solve y*k + 4 = k for k. 4 Let g be -3 + (-213)/(-24) + (-15)/(-120). Suppose w = -3*j, -j + 4*w = 3*w. Solve -x + g*x + 25 = j for x. -5 Let u = -87 - -90. Solve 6 = -w + u*w for w. 3 Let g be 174/(-9)*((-27)/6 - -3). Solve -4*y - 29 = -g for y. 0 Let p = 20 - 15. Suppose -13 = -4*s + 3*v + 17, 24 = p*s + 3*v. Solve 0 = -3*c - 3 + s for c. 1 Suppose g = 5*n + 20, 15 = g - 2*n + 4. Suppose -g*w = -11 - 29. Solve 2*k + w = 6*k for k. 2 Let z = 196 + -184. Let w be 3 - 2 - 2 - -6. Let f = 44 - 31. Solve -f = -w*d + z for d. 5 Suppose -2*z - 3*y + 30 = 0, 5*z + 6*y - 70 = y. Solve -5*l = 8 + z for l. -4 Suppose -3 - 5 = -2*d. Let t be 8/14*(11 - d). Solve t*a - 5 - 7 = 0 for a. 3 Suppose 0 = o + 5, -4*o + 12 - 22 = 5*c. Solve a + 0 = -c for a. -2 Suppose -6*y + 6 = -5*y. Solve y = r + 4 for r. 2 Let n(t) = -t**2 + 10*t + 11. Let b(s) = -s**2 + 9*s + 12. Let a(k) = -4*b(k) + 3*n(k). Let f be a(8). Solve -f = 2*r + 1 for r. -1 Suppose -5*r = 4*k - 14, -k - k + 3*r = 4. Solve -3 - k = u for u. -4 Let v(i) = i - 12. Let h be v(15). Suppose -2*s + 20 = 50. Let m be 22/8 + s/20. Solve -h*x + m*x = -1 for x. 1 Suppose -18*u + 48 = -6*u. Solve -u*l - l = 0 for l. 0 Let i be (-1)/(2 + (1 - 4)). Let w(f) = -14*f**2 - 3. Let o(k) = 5*k**2 + 1. Let c(v) = -17*o(v) - 6*w(v). Let z be c(i). Solve z = n + 1 for n. -1 Suppose -6*w + 10 = -w. Suppose -40 = -w*g - 3*g. Let k(s) = s**2 - 6*s - 16. Let p be k(g). Solve p*t = -3*t - 6 for t. -2 Let k = 10 - 7. Let n(s) = -s**2 + 3*s - 2. Let x be n(k). Let z be x/(-12)*4*9. Solve -f + 2 = z for f. -4 Let h be ((-20)/70)/(1/(-7)). Suppose h*t - 3 = -t. Let a be ((0 + 2)*1)/t. Solve 7*m = a*m - 20 for m. -4 Suppose 2*v = 4*m + m - 50, -m + 23 = -3*v. Let w = -4 + m. Solve 0 = -2*p - 0*p + w for p. 2 Let p be 4 - (5 + 6/(-2)). Let l(n) = -6 - 15*n - 1 + n**p + 8*n. Let x be l(8). Solve x = o - 2 for o. 3 Let p(s) be the second derivative of -s**3/2 - 3*s**2/2 + 11*s. Let v be p(-2). Solve v = 2*w - w for w. 3 Let n(m) = -m**3 + 4*m**2 + 2*m - 4. Let j be n(4). Suppose q - 3 = 2*q. Let y be (-1 - -2)*(-3 - q). Solve j = -y*u + u for u. 4 Let b be (-12)/(-7)*(-35)/(-10). Suppose -l - 20 = -b*l. Suppose -16 = -5*x - 3*c, x - 16 = -3*x - 4*c. Solve l*t = 3*t - x for t. -2 Let k = -52 + 55. Suppose k*n - 5 = 2*n. Solve 8*l + n = 9*l for l. 5 Let b(i) = i**3 + 6*i**2 - 10*i - 6. Let l be b(-7). Solve 11*r = 8*r - l for r. -5 Let u(m) = m**3 + 6*m**2 - 2*m - 12. Let j be u(-6). Suppose j*k - 4*d - 40 = -2*k, 2*k - 38 = 3*d. Solve 2*t = -2*t + k for t. 4 Let c(q) = -2*q**3 + 61*q**2 + 32*q - 28. Let a be c(31). Solve -a*x - 2 = 1 for x. -1 Suppose -2*y - 21 = -9*y. Suppose 0 = y*l - 3*f - 3 - 12, -13 = -2*l - f. Solve -4*v + 2*v = -l for v. 3 Let x be 2/(-26) - 22200/(-962). Solve -x + 10 = 13*u for u. -1 Let u = 11 + -8. Let h be (-2)/(4/(-2))*-3. Let w = u + h. Solve w*q - 5 = 5*q for q. -1 Let r be (876/(-16))/1 - (-3)/4. Let w = r - -54. Solve w = -0*k - k - 4 for k. -4 Suppose 2*g - 2 - 2 = 0. Let a(r) = 0*r - 5*r**2 + 4 + 4*r**g + 14*r. Let h be a(14). Solve 2*c - c = h for c. 4 Let y(b) = 5*b - 7. Let f be y(4). Suppose f*p - 12*p = 0. Solve -25 = 5*n - p*n for n. -5 Let l be (4 - 4) + 0/2. Solve l*s = 2*s - 4 for s. 2 Let b be 2/(-26) - 27/(-13). Solve b*s - 10 = 7*s for s. -2 Suppose 0 = 5*q + 5*t - 10, -22 = q - 6*q - 2*t. Solve q*b + 4 = 4 for b. 0 Let o = 470 - 462. Solve 5*g - o = 3*g for g. 4 Let t(o) = 2*o**3 - 4*o**2 - 4*o - 7. Let p be t(4). Suppose -2*i + 6 = 5*b + 2, 0 = 5*i - 3*b - p. Solve 4*r = -5 - i for r. -3 Let c(f) = -7*f + 171. Let z be c(24). Solve 0*n = z*n - n for n. 0 Let w = 71 + -104. Let j be (-2)/11 - (36/w)/6. Solve j*g = -5*g + 5 for g. 1 Let o be 20/120 + (-118)/(-12). Suppose 24*j = 91 + 149. Suppose 3 + 17 = 5*w. Solve -o = w*h + j for h. -5 Let z(o) be the third derivative of -o**5/60 - o**4/8 + 11*o**3/3 + 9*o**2. Let v be z(-6). Solve 3*q + v = 16 for q. 4 Let b = 1941 - 1932. Solve -5*m - 19 = -b for m. -2 Let t(z) = -z. Let o be t(-5). Suppose -f + o*d = -14, -d = 3*f - f - 6. Solve f*r = 6 - 2 for r. 1 Suppose 0 = -51*t + 14 + 190. Solve t*a - 39 = -31 for a. 2 Suppose 15*z = 17*z. Solve z = 6*n + 16 + 2 for n. -3 Let v(q) = -q**2 - 9*q - 7. Let d be v(-6). Suppose 3*b = -m + 17, -2*b - 2 = 2*m - 16. Solve -b*l - d = 9 for l. -4 Let o(a) = -a + 6. Let x be o(0). Suppose 3*l = 13 - 1. Suppose 0 = 8*b - 20 + l. Solve x*g = b*g - 20 for g. -5 Let c = -8 - -5. Let j be 21/c - 12/(-4). Let p be (-10)/j + (-3)/(-2). Solve 5*h - h = -p for h. -1 Suppose -4*j + 0*v = 2*v - 20, 0 = -3*j - v + 16. Solve -2*k - j = k for k. -2 Suppose 5*k + 16 = 1. Let y = 4 - k. Let g(b) = -3*b. Let t be g(0). Solve t = y*l - 2*l for l. 0 Let o = 19 + -7. Let t be (4/(o/(-9)))/1. Let y = 6 + t. Solve -y*u = -u for u. 0 Suppose -3 = d, 4*d = -5*p - d + 85. Let t(o) = -63*o**2 - 68*o + 3. Let c be t(-1). Solve 4*r - p = c*r for r. -5 Let r(t) = -t**3 + 3*t**2 + 3*t + 4. Let v be ((-4)/14)/((-4)/56). Let o be r(v). Solve 1 = -o*s - s for s. -1 Let n be (-60)/(-16) - 2*(-3)/24. Solve -19 = -3*i - n for i. 5 Let k(t) = t**3 - 5*t**2 - 8*t + 1. Let s be k(6). Let o = s - -15. Suppose 2*w - 3*w - 5*m = 7, -17 = -5*w + m. Solve -g = -w*g + o for g. 2 Let r be 90/75*20/6. Let y(x) = 9 - 1 + 5*x - r*x. Let b be y(-8). Solve 0*h - h + 1 = b for h. 1 Suppose 2*a = a - 19. Let w = a - -35. Let g be (8/w)/(2/16). Solve o = g*o - 12 for o. 4 Suppose -6*m = -m + 45. Let a = 119 + 6. Let f be a/45 + (-2)/m. Solve f = h - 0 for h. 3 Let p = -4 - -43. Let w = p + -35. Solve -5*v = -v + w for v. -1 Let c(o) be the third derivative of o**7/2520 - o**6/144 - o**5/20 - 7*o**2. Let r(f) be the third derivative of c(f). Let x be r(4). Solve -2 - 7 = -x*v for v. 3 Suppose -41 + 9 = -2*z. Suppose 0 = -2*f + z - 8. Solve 3*u - 4 = f*u for u. -4 Let t be (-114)/18 - (-4)/3. Let d = -5 - t. Suppose -6*k + 9 = -3*k. Solve 0*p - k*p = d for p. 0 Let k(v) = v**3 - 8*v**2 + 10*v + 14. Let f(m) = m**2 + 9*m - 4. Let g be f(-10). Let l be k(g). Solve -d = l*d for d. 0 Suppose -x - 1 = 5*k, -3*k + 8 = 3*x - 13. Let l(u) = -u + 13. Let n be l(x). Solve 3*p + n = -2 for p. -2 Let l = 196 - 184. Solve 4*f = l + 4 for f. 4 Let r(b) be the third derivative of b**5/60 - b**4/24 + 113*b**2 - b. Suppose -4*w + 10 = -f + 1, -2*w + 9 = -5*f. Let j be r
{ "pile_set_name": "DM Mathematics" }
rst derivative of 62 - 240*w**2 + 231*w**2 - 10*w**4 - 269 wrt w? -40*w**3 - 18*w Let r(b) = b**3 - 2*b**2 - 3*b + 1. Let u(w) = -235*w**3 + 5*w**2 + 3*w - 18. Let s(z) = -r(z) - u(z). Find the third derivative of s(h) wrt h. 1404 Let k(o) = o - 4*o**2 + 7 + o**2 + 8*o**2 - o**3. Let b be k(5). What is the third derivative of 6*q**3 + 3*q**2 - b*q**3 - 2*q**2 wrt q? -36 Differentiate 163*h + 132*h**3 + 165*h + 46 - 492*h + 164*h wrt h. 396*h**2 Let v(b) = -79*b**3 - 4*b**2 + 124*b. Let p(m) = 160*m**3 + 9*m**2 - 249*m. Let f(h) = -4*p(h) - 9*v(h). What is the second derivative of f(z) wrt z? 426*z Let j(p) = -p**2 + 4*p + 35. Let g be j(8). What is the first derivative of 20 - 10 + 7*w**g - 28*w**3 + 13 wrt w? -63*w**2 Let j(r) be the first derivative of 0*r**3 + 7/6*r**6 - 55 - r**2 + 0*r**5 + 0*r**4 - 9*r. Find the second derivative of j(d) wrt d. 140*d**3 What is the third derivative of 45*i**2 - 3*i**6 - 113*i**3 + 15*i**2 + 113*i**3 + 2*i**6 - 31*i**4 wrt i? -120*i**3 - 744*i Let i(x) be the first derivative of 47*x**3/3 + 2*x**2 + 419*x - 908. What is the first derivative of i(h) wrt h? 94*h + 4 Find the first derivative of -35 - 3*b**4 + 17*b + 30 - 4*b**4 - 13*b wrt b. -28*b**3 + 4 Find the third derivative of -149*y**3 + 81*y**3 - y**2 + 17*y**3 + 3*y**2 wrt y. -306 Let n be 24/14 - (-2)/7. Suppose -u - n = -6. Find the first derivative of -2*c**4 - 8*c**4 - 8*c**4 + 6*c**u + 11 wrt c. -48*c**3 Let b(d) = -32*d + 121. Let q(c) = 32*c - 119. Let p(l) = 6*b(l) + 7*q(l). Find the first derivative of p(r) wrt r. 32 Let u(x) = 17*x**3 + 31*x**2 + 209*x + 11. Let o(s) = -9*s**3 - 16*s**2 - 105*s - 6. Let l(w) = -11*o(w) - 6*u(w). What is the second derivative of l(i) wrt i? -18*i - 20 Suppose d - 5 = -3. Let r be (-1)/((-21)/18 - -1). Find the third derivative of p**r - d*p**5 - 5*p**2 + p**5 + p**5 wrt p. 120*p**3 Let w(y) be the second derivative of y**6/20 + 35*y**3/6 + 29*y**2/2 - 31*y. Let i(q) be the first derivative of w(q). Differentiate i(h) wrt h. 18*h**2 Let h(i) = i**3 - i. Let a be h(-1). Suppose -2*n - 4*n + 18 = a. What is the derivative of -3 + 2*k + 4*k + n*k wrt k? 9 Let s(i) = 3*i**3 - 5 - 13*i**3 + 15*i**2 + 3. Let y(m) = -21*m**3 + 30*m**2 - 5. Let z(d) = 5*s(d) - 2*y(d). What is the third derivative of z(j) wrt j? -48 Let k(y) = 147*y + 4. Let q be k(2). Find the first derivative of q*w - 9*w**2 - 298*w - 2 wrt w. -18*w Suppose -4*q - 4 - 4 = 4*t, -2 = t. Let i(f) = f + 9. Let a be i(-7). What is the first derivative of z**2 - z**2 + q*z**a + 6*z**4 - 4 wrt z? 24*z**3 Let l be (144/(-40))/((-4)/10). Differentiate -q**3 + 19 - 15*q**3 - 12 - l*q**3 wrt q. -75*q**2 Let w(c) = 23*c**3 + 80*c**2 - 6*c - 332. Let k(z) = -72*z**3 - 239*z**2 + 19*z + 997. Let i(a) = 6*k(a) + 19*w(a). Differentiate i(q) with respect to q. 15*q**2 + 172*q Let x(q) = q**4 - 6*q**3 - 4*q**2 - 140. Let i(c) = -8*c**3 - 6*c**2 - 140. Let n(z) = 4*i(z) - 6*x(z). Find the first derivative of n(f) wrt f. -24*f**3 + 12*f**2 Let v(l) = 695*l - 232. Let q(f) = 14*f + 1. Let z(r) = 2*q(r) - v(r). What is the derivative of z(y) wrt y? -667 Let n(v) be the third derivative of -7*v**4/6 - 11*v**3/3 - 25*v**2 - 2. What is the first derivative of n(g) wrt g? -28 Let w(p) be the first derivative of -p**4 + 11*p - p**2 - 1/3*p**3 + 38. Find the second derivative of w(d) wrt d. -24*d - 2 Let m be (-3 + 0 + 1)/((-8)/20). Differentiate 57*p**4 - 13 + 0 - m - 12*p**4 wrt p. 180*p**3 Let t(o) = 167*o**3 + 7*o**2 + 14*o - 21. Let p(r) = -84*r**3 - 4*r**2 - 8*r + 11. Let l(y) = 7*p(y) + 4*t(y). Find the first derivative of l(h) wrt h. 240*h**2 Let r(m) be the third derivative of -m**5/60 - m**4/4 - m**3/2 - 4*m**2. Let q be r(-5). What is the derivative of 3*x**4 + 0*x**3 + 0*x**3 - q*x**4 - 3 wrt x? 4*x**3 Let u(k) be the first derivative of -2*k**7/7 + 7*k**6/6 - 34*k**3/3 - 165. Find the third derivative of u(b) wrt b. -240*b**3 + 420*b**2 Find the second derivative of -74*t**2 + 152*t**2 + 22*t**3 + 815*t - 90*t**2 wrt t. 132*t - 24 Let o(q) = 6*q - 14. Let r be o(6). Find the second derivative of r*w + 4*w**3 - 11*w - 26*w wrt w. 24*w Let k(f) = -1966*f**3 - 2018*f**2 + 5*f + 5. Let t(j) = 2948*j**3 + 3026*j**2 - 7*j - 7. Let h(s) = -7*k(s) - 5*t(s). Find the third derivative of h(l) wrt l. -5868 Suppose 3*u + 3*q - 10 = 2*u, -8 = -3*u + 2*q. What is the second derivative of 22*a**4 + 27*a**5 + 4*a + 10*a - 22*a**u wrt a? 540*a**3 Let m(v) be the second derivative of 5/6*v**4 - 13*v + 0*v**3 + 0*v**6 + 0*v**7 - 1/8*v**8 + 0*v**2 + 0 + 0*v**5. What is the third derivative of m(s) wrt s? -840*s**3 Find the third derivative of -551*x**5 - 99*x**2 + 550*x**5 - 51*x**3 - 48*x**3 wrt x. -60*x**2 - 594 Let s(o) be the third derivative of 0*o + 0*o**4 - 1/24*o**8 - 3*o**2 + 0*o**6 + 0*o**7 + 0 + 0*o**3 - 7/30*o**5. Find the third derivative of s(c) wrt c. -840*c**2 Find the second derivative of -439*j**2 - 27*j**2 + 67*j + 170*j wrt j. -932 What is the first derivative of 83 - 76*z**3 - 26*z - 226 + 79*z**3 wrt z? 9*z**2 - 26 Let c(o) = -2*o**4 - o**3 + 2*o**2 - o. Let h(s) = -17*s**4 + 4*s**3 - 3*s**2 + 4*s + 132. Let l(y) = 4*c(y) + h(y). Differentiate l(n) with respect to n. -100*n**3 + 10*n Let o(z) be the third derivative of -19*z**6/60 - 9*z**5/20 - z**4/6 - 182*z**2. Find the third derivative of o(u) wrt u. -228 Let c be (-1 - 10)*-3*1/3. What is the first derivative of 24 - 3 - 46*o**2 - c wrt o? -92*o Let l(z) be the first derivative of z**8/1680 + 7*z**6/180 + 6*z**3 + 3. Let p(c) be the third derivative of l(c). Find the third derivative of p(a) wrt a. 24*a Find the second derivative of 0*m**4 + 200*m**3 + 39*m + 20*m**2 + 7*m**4 + 191*m**3 - 391*m**3 wrt m. 84*m**2 + 40 Suppose -16 - 14 = -6*z. Suppose z*a - 2*a = 39. What is the second derivative of 8*s**3 + 3*s**3 - 2*s - a*s**3 wrt s? -12*s Let y(s) = 4*s**3 + 8*s + 19. Let m(q) = -4*q**3 - 6*q - 18. Let a(f) = 4*m(f) + 3*y(f). What is the derivative of a(c) wrt c? -12*c**2 Find the second derivative of 3*x**3 - x**3 + 0*x**3 - 27*x - 37*x**2 + 73*x**2 wrt x. 12*x + 72 Differentiate -79 + 25 + u + 22*u - 29 wrt u. 23 Let m(o) = -9*o**3 + 30*o**2 + 8*o - 4. Let u(c) = 8*c**3 - 30*c**2 - 10*c + 5. Let w(x) = -5*m(x) - 4*u(x). What is the third derivative of w(a) wrt a? 78 Suppose 0 = 2*z + s, 2*z = 5*z + 5*s + 7. Let j be z*(1 + 5)/1. Differentiate 10 - 3 - j - 5*g**4 wrt g. -20*g**3 Let g(i) be the first derivative of -122*i**3/3 - 24*i + 52. Differentiate g(z) wrt z. -244*z What is the second derivative of -4*k**5 - 1 + 194*k**2 + 0 + 5*k**5 - 3*k**5 + 276*k wrt k? -40*k**3 + 388 Let r(i) = -101*i**2 + 20*i - 32. Let a(k) = 66*k**2 - 13*k + 21. Let t(l) = 7*a(l) + 5*r(l). Find the second derivative of t(m) wrt m. -86 Find the third derivative of 2120*x**2 + 7*x**3 - 30*x**3 - 2184*x**2 wrt x. -138 Let w(o) = o**4 - o**2 + o + 1. Let q(t) = -42 + 113*t**2 - 12*t - 63*t**4 - 99*t**2 - 30*t. Let b(h) = q(h) + 42*w(h). Find the third derivative of b(a) wrt a. -504*a Let x be 8/12 + 34/3. What is the second derivative of x*r - 3*r**2 + 1011 - 1011 wrt r? -6 Let n(z) be the third derivative of 43*z**9/63 - z**5/30 + 7*z**4/24 - 305*z**2. Find the third derivative of n(j) wrt j. 41280*j**3 Let l(z) be the first derivative of -7*z**5/60 - z**4/24 + 5*z**3/3 - 17. Let c(n) be the third derivative of l(n). Differentiate c(q) with respect to q. -14 Let u(w) be the first derivative of -199*w**4/4 + 70*w**3/3 - 348. Find the third derivative of u(y) wrt y. -1194 Let c(j) be the first derivative of 2*j**7/7 + 4*j**5/5 - 81*j**3 - 28. What is the third derivative of c(v) wrt v? 240*v**3 + 96*v Suppose 60 = -3*r + 9. Let q = r - -18. Differentiate -11*i**2 + q - 2*i - 2*i + 4*i wrt i. -22*i Let t = -70 - -73. Let m be (2 + -4)*3/(-2). Find the second derivative of -4*j**3 + 8*j**m + j + j**t wrt j. 30*j Let c(f) = 29*f. Let q be c(-1). Let h = q - -33. What is the second derivative of -2*k**4 - 8*k - 6*k**h + 8*k - 2*k wrt k? -96*k**2 Let j(l) = l**2 + l - 3. Let d be j(6). Find the second derivative of 7*h - 10*h**3 - h**2 - d*h + h**2 wrt h. -60*h Suppose 9 = -3*n + 3. Let y = 1 - n. Find the second derivative of 10*s - y*s**2 + s**2 - 14*s wrt s. -4 What is the third derivative of -3*f**4 - 3*f**3 + 3*f**3 + 5*f**5
{ "pile_set_name": "DM Mathematics" }
Find the common denominator of 666/45*(-120)/9312 and b. 1358 Suppose -4*k + 2*z - 102 = 0, 0*k - 54 = 2*k - 2*z. Let x be 163/2*(-6 + 4). What is the common denominator of 6/k + x/(-52) and 37/8? 104 Let h(z) = -z + 1. Let x be h(-4). Suppose 21 = -x*m + 6*m. Suppose 5*o = -f + 26, 3*o + 12*f - 12 = 15*f. What is the smallest common multiple of o and m? 105 Suppose -s = -13 + 10. Suppose 4 = -s*a - 8. Let q(n) = 3*n**2 + 7*n - 2. Calculate the least common multiple of q(a) and 1. 18 Let a = -35233/4 + 5757961/654. Let z = -81865/109 + 751. Let j = z + a. Calculate the common denominator of -57/22 and j. 132 Suppose q = 2*g + g - 179, -2*g + 856 = -5*q. Let x = q - -879/5. Let y = 163225/12 + -13592. What is the common denominator of x and y? 60 Let h = 93785/98 - 957. Let j = -439/196 + h. Find the common denominator of j and 55/26. 52 Let h(z) = 185*z**2 - 3*z + 2. Let a be h(1). Let f = 1248/7 - a. What is the common denominator of 370/(-55)*-1*5/(-10) and f? 77 Calculate the lowest common multiple of 27 and (35/(140/(-2868)))/((-1)/2). 12906 Suppose 3*v - 277 = 4*f, 5*v + 317 = 13*f - 17*f. Let k = 77 + f. What is the smallest common multiple of 1/2*(2 - -2) and k? 4 Calculate the least common multiple of 234 and ((4 - 10) + 58)/((-152)/(-74) + -2). 8658 Suppose 3021*s - 3025*s + 636 = 0. What is the lowest common multiple of s and 4? 636 What is the smallest common multiple of 9 and (-3 - -21*(-5)/(-30))*218? 981 Let p(n) = n**2 - 4*n + 4. Let g be p(4). Suppose 0 = g*d - 11*d - 28. Find the common denominator of -17/2 and d/(-14)*(-425)/(-450). 126 Calculate the smallest common multiple of 42 and 751 + 10/5*-8. 1470 Suppose 5*z = 15 + 25. Let k be 2 + 13/5 + 39/(-65). Suppose -h + 3*j + 40 = 0, -53 = -k*h - 3*j + 167. Calculate the smallest common multiple of h and z. 104 Find the common denominator of (3/(-4))/((-2289)/8066) and (-34)/35 + (-28)/(-70). 14 Let x be (-11)/((-220)/10)*(0 - 12). Calculate the least common multiple of 1 + 3/x*-10 and 3. 6 Calculate the common denominator of (3 - 96/36) + 2 + (-526)/165 and 1/50. 550 Let j(c) = -618*c - 2426. Calculate the smallest common multiple of j(-6) and 14. 8974 Let i be (-34888)/(-24)*6/(-8). Let u = i + 1098. Let h = -27613/2465 - -331/29. Find the common denominator of u and h. 340 Let s be (4 - -3 - 0 - 3) + 1. Suppose 5*k - 5*w - 85 = 5, -s*k - 3*w + 90 = 0. Calculate the lowest common multiple of k and 15/((-225)/(-595)) + (-1)/(-3). 360 Let f(w) = 2*w**2 + 4*w - 4. Let g = -3 + -1. Suppose 235*c = 204*c + 620. What is the least common multiple of c and f(g)? 60 Suppose -976 = -2*t + 78. Suppose 555 = -522*j + t*j. Calculate the lowest common multiple of 18 and j. 666 Suppose -4*n = -8*n - 280. Calculate the common denominator of (-63)/(-22) + (3 - 2) and 40/(-140) + (-503)/n. 110 What is the common denominator of (-5)/(-2)*-9*(-1590)/6750 + -8 and 1163/3120 - 2/5? 3120 Let k = -4135135/78 + 53013. Find the common denominator of 49/6 and k. 78 Let g be (-2)/4 + 788/8. Let t(k) = -28*k - 48. Let n be t(-2). Suppose -d + n*d = g. Calculate the lowest common multiple of 16 and d. 112 Find the common denominator of (86/66 - 2)*56/9352 and 41/3. 5511 Let p = -14724 - -14820. Suppose -5*r + i + 0*i + 71 = 0, 4*i = r - 18. What is the lowest common multiple of p and r? 672 Suppose 3665 = 45*m - 17*m - 8319. Calculate the lowest common multiple of m and 8. 856 Suppose -21*u - 36 = -23*u - 4*d, -4*u - 5*d + 54 = 0. Calculate the least common multiple of u and 30. 30 Let i = -7875 + 94441/12. What is the common denominator of i and 108/22*8/12? 132 Suppose 0 = 4*w + 6*w - 20. Suppose -76*m + 3 = -75*m. Calculate the common denominator of 17/18 and w/(-6) - m*93/702. 234 What is the lowest common multiple of 423 - (-15)/(-4 - -1) and 8? 1672 Let l = -150/163 - -509/1793. What is the common denominator of l and 48/25? 275 Let g(l) = l**3 - 4*l**2 + 3. Let o be g(-4). Suppose 11*h - 8*h + 4*x - 7 = 0, -4*h - 5*x + 8 = 0. Find the common denominator of h*(-5)/o*26/(-3) and 8/11. 275 Let r = 182 + -110. Calculate the lowest common multiple of r and (-5)/15*0 - -21. 504 Suppose s - 2*s + 15245 = 0. Let a be (63514/495)/(4/(-475)). Let k = s + a. Calculate the common denominator of k and 79/6. 18 Let u = 37 + -31. Suppose -u = r - 8. Suppose -3*d - q + 47 = 0, -3*d + 49 = q - r*q. Calculate the least common multiple of d and 16. 16 Let b = -4152875/9 - -461428. Suppose 4*q - 59 - 109 = -2*w, 0 = -2*w. What is the common denominator of b and ((-88)/q - 1) + 1? 63 Let d = -4291510087/43400 - -692179/7. Calculate the common denominator of d and -121/5580. 55800 Let j = 16381/12840 - 1/1284. Calculate the common denominator of j and 0/(-3) - (-162)/(-44). 440 Let r = 120447 - 481723/4. Let h = -1220090/73 - -16713. Find the common denominator of h and r. 292 Suppose -142664 + 2125532 = -6*r. Let m = r - -1959511/6. Let u = m - -3881. Find the common denominator of u and -5/8. 24 Let o = -423 + 418. What is the common denominator of -1 - (-3 - (-258)/28)/o and -39/70? 70 Suppose 397 - 19 = 3*c. Let s = -102 + c. Suppose -2*i = -i - s. What is the common denominator of 71/15 and i? 15 Let m be -102*(42/(-18) + 9/3). Let a = -44 - m. What is the smallest common multiple of 11 and a? 264 Calculate the common denominator of -49/2334 and 15 - (-4197)/(-144) - (-15 - -4). 18672 Suppose 10*w = 170 + 490. Suppose 64*z = w*z - 8760. Calculate the common denominator of z/(-264)*(-2)/(-10) and -75/8. 88 Find the common denominator of -6*((-1448)/(-160) + -9)*1/50 and 17/15. 1500 Let h(i) = i**3 - 6*i**2 - 5*i - 8. Suppose 3*f - 9 = -4*q, -1 = 4*q + 11. Let j be h(f). Suppose -j = -l - 1. What is the lowest common multiple of l and 5? 5 Let h(g) = g**2 - 30*g + 248. What is the smallest common multiple of h(10) and 60? 240 Suppose -54*l + 50*l = 2804. Calculate the common denominator of -15/14 and l/144 - (-4)/(-9). 112 Let m = 505 + -659. Find the common denominator of (3/(-4))/(m/792) and 27/14. 14 Let a = -1598 - -4038144/2527. Let l = -116252/12635 - a. Find the common denominator of l and -22/7. 35 Let v = -2050 + 30769/15. Calculate the common denominator of -62/915 and v. 915 Suppose -26*r + 49 = p - 21*r, 2*p - 23 = 5*r. Calculate the common denominator of ((56/6)/(-2))/9 and 95/20 + 8/p. 108 Let f = -15757 + 17665. Calculate the lowest common multiple of f and 1696. 15264 Calculate the smallest common multiple of 1159 and (9/(-6) + 2)*(23 - 11). 6954 Let j = 217265/7 + -62083/2. Find the common denominator of j and (-16)/(-56) - 1207/(-210). 210 Let j = -1653457/50 + 33068. Calculate the common denominator of j and 2/(-6) - 2*(-131)/(-240). 200 Suppose -608 = -20*g + 32. Suppose -5*j + 4*h = -g, 3*j = 5*j + 5*h - 26. What is the least common multiple of j and 38? 152 Let w = -6/455 + -2731/6825. Calculate the common denominator of w and (-3 - (-836)/288)*9888/(-448). 1200 Let y = -42 - -45. Suppose -146 = -5*r - 2*t, 0 = r + r + y*t - 54. Calculate the lowest common multiple of 2 and 4844/105 + (-4)/r. 46 Suppose -7 = 4*c - 31. Let k(y) = 2*y - 5. Suppose x + 3*t - 8 = 0, -2*x = -4*t - 13 + 7. What is the lowest common multiple of x and k(c)? 35 Let v = 634807/420840 - 1/10521. Calculate the common denominator of ((-7)/((-945)/(-10)))/((-32)/(-366)) and v. 360 Let a = 2896/29 - 1600618/16037. Calculate the common denominator of 47/42 and a. 3318 Let n = -2810 + 991. Find the common denominator of ((-3)/21)/(374/n) and 33/28. 308 What is the common denominator of 83/1344 and (592/3360)/(-37)*627/(-12)? 6720 Let f = 407 - 403. Suppose 0 = 4*u - h + 2*h - 27, -5*u + 60 = -f*h. What is the smallest common multiple of 56 and u? 56 Let n be (2/(-6))/((-3)/(-207)). Let p = 53 + n. Let h = 49 - p. Calculate the least common multiple of h and 4. 76 Let s(l) = -l**3 + 2*l**2 + 9*l - 10. Let j be s(-5). Suppose -10*z - j = -18*z. Calculate the smallest common multiple of ((-6)/(-9))/((-2)/(-99)) and z. 165 Let q = 104137/33390 + 4/16695. Let o = -2/8367 + 119951/100404. Calculate the common denominator of q and o. 252 Suppose -2*z + 5*g + 32 = 0, -2*z - 3*z = 3*g - 18. Suppose 2*f = -z + 8. What is the least common multiple of (-7 + 1)*3/(-6)*f and 3? 3 Suppose 881*x = 954*x - 191698. Calculate the least comm
{ "pile_set_name": "DM Mathematics" }
- 7. Let h be a(-6). Suppose -u + 425 = -h*j + 4, -u + 417 = -4*j. What is the tens digit of u? 0 Let h = 200 + -164. What is the hundreds digit of (-12)/16 + 6219/h? 1 What is the hundreds digit of (-1 - 11)/12*-137? 1 Let x(l) = l**3 + 9*l**2 - l - 9. Let r be x(5). What is the tens digit of (6336/r)/((-1)/(-14))? 6 Suppose i + 4*m - 5*m + 2 = 0, -4*i = -m - 4. Suppose -3*c - 3*l + 0*l + 81 = 0, 156 = 5*c - i*l. Let v = -5 + c. What is the units digit of v? 5 Let l(v) = v**3 - 5*v**2 - 2*v + 6. Suppose -4*a = 4*w - 2*a - 10, 0 = 3*w + a - 9. Suppose k - w = 3. What is the units digit of l(k)? 0 Let n(g) = 10*g**3 + 5*g**2 - 3*g - 1. Let j be n(1). Suppose 0 = 6*y - j*y + 40. What is the units digit of y? 8 Let q = -67 - -69. What is the tens digit of (1/q - 155/(-2)) + -1? 7 Let j(s) = -s**2 - 2*s. Let a be j(-2). Suppose 6 = 8*c - 5*c. Suppose a = -4*l + 30 + c. What is the units digit of l? 8 Suppose -2*n = z - 9, 4*z + 3*n - 36 - 5 = 0. Suppose -z*r = -9*r - 18. What is the units digit of r? 9 Let t(b) = 17*b**2 - 59*b - 154. What is the tens digit of t(-17)? 6 Let l(w) = 42*w + 25. Let d = 235 - 230. What is the tens digit of l(d)? 3 Let p(c) = 13*c**3 - 2*c + 3 - 3*c**2 - 22*c**3 - 8*c**3 + 1. What is the tens digit of p(-3)? 4 Suppose -d = 3*d - 2*a - 10, 5*a - 5 = 0. Let p be -1 + 1 - (-3 + 3 - d). Suppose -p*q = -343 - 5. What is the tens digit of q? 1 Let k(w) = 11*w**2 + 13*w + 12. Let u(j) = -6*j**2 - 7*j - 6. Let i(c) = -3*k(c) - 5*u(c). Let a be i(4). What is the units digit of (28/a)/((-1)/20)? 8 Let o(p) = -p + 19. Let v be o(16). Suppose 4*f - k = -3*k + 8, -6 = -v*f - 2*k. Let m(n) = 43*n**2 - 3*n - 2. What is the hundreds digit of m(f)? 1 Suppose t + 2*o = 21010, 8*o - 147103 = -7*t + 5*o. What is the ten thousands digit of t? 2 Suppose -164*d - 517647 = -199*d + 44068. What is the hundreds digit of d? 0 Suppose -52*d - 12818 = -p - 50*d, 5*p + d - 64035 = 0. What is the units digit of p? 8 Suppose 20*d = 521022 + 179678. What is the hundreds digit of d? 0 Let y = 140 + -134. Suppose -y*i - 5*r = -3*i - 1205, 0 = 5*i + 2*r - 1983. What is the tens digit of i? 9 Let p(i) = 2*i**3 + 65*i**2 + 50*i - 33. What is the thousands digit of p(-28)? 5 Let k(i) = i**2 + 7*i + 15. Let b = -13 + 8. Let o be k(b). Suppose -313 = -o*z + 92. What is the units digit of z? 1 Suppose -440 = -19*z + 263. Suppose 2*y - 7*y - 15 = 0. What is the units digit of 1*(y - z*-2)? 1 Let y(u) = -257*u - 8. Suppose -1280*s + 1275*s = 30. What is the tens digit of y(s)? 3 Let o(k) = -k**3 - 5*k**2 + 16*k - 6. Let w(q) = -2*q**3 - 4*q**2 + 15*q - 5. Let j(l) = -2*o(l) + 3*w(l). What is the units digit of j(-6)? 1 Let c(z) = 194*z + 11. Let j = -322 - -325. What is the tens digit of c(j)? 9 Suppose 10*m - 2839 = -7*m. Suppose 5*l = 963 + m. What is the units digit of l? 6 Let i(m) = 13*m**2 - 299*m + 21. What is the tens digit of i(32)? 6 What is the units digit of (7 + 4)*2493*15/9? 5 Let z(g) = g + 3. Let p be z(-4). Let n(y) be the second derivative of -22*y**3 + y**2 + 226*y. What is the hundreds digit of n(p)? 1 Let g be 2*((-1935)/(-2))/5. Let o(j) = -2*j + 8. Let l be o(3). Suppose 55 - 252 = -d + 3*k, 0 = l*d + k - g. What is the units digit of d? 4 What is the tens digit of 30/(-70) + ((-22644)/(-14))/1 + 3? 2 Let c = 160 - 153. Suppose 5*l = c*l - 376. What is the tens digit of l? 8 What is the units digit of -5*(-3)/(-90)*-16*114/8? 8 Let f = -155 + 240. Suppose -79*u + f*u = 3732. What is the units digit of u? 2 Let q(g) = -449*g - 1667. What is the tens digit of q(-12)? 2 Let f = 57 + -45. Suppose 0 = -d - 3*a + 1, 4*a + f = -0*a. Let o(x) = 14*x - 30. What is the tens digit of o(d)? 1 Suppose f = 4*k + 12, 2*f + 3 = k - 2*k. Suppose -4*s + 2*l + l + 1872 = f, -3*s = -5*l - 1415. What is the units digit of s? 5 Let n(w) = 58*w**2 - 41*w - 6. Let z(s) = -2*s**2 + 64*s - 4. Let o be z(32). What is the tens digit of n(o)? 8 Let l(q) = -14*q**3 - 2*q**2 - 4*q. Let k = -237 + 235. What is the units digit of l(k)? 2 Suppose 0 = 4*d - c - 128, -c = 2*d + 4*c - 64. Suppose -67 = -w + 5*b, -31*b + d*b = -w + 79. What is the units digit of w? 7 Let k = -7398 - -10085. What is the units digit of k? 7 Let p = -1675 + 3417. Suppose -2*x = 5*h - 0*x - p, h + 3*x - 338 = 0. Let v = h - 207. What is the units digit of v? 3 Let w(r) = 19*r + 3. Let y(n) = 18*n + 4. Let f be (-5 + -1)*(3 - (3 + -1)). Let q(h) = f*y(h) + 5*w(h). What is the units digit of q(-4)? 3 Let n(b) = b**2 + 11*b - 100. Let x be n(-17). What is the hundreds digit of (11 - 36)/((-1)/24*x)? 3 Let y be 3*((-16)/12 - -2). Suppose 3*a - 34 = 5*h, -y*h = -11 + 3. Let b = 68 - a. What is the tens digit of b? 5 Let l(v) = 6*v**3 + 61*v**2 + 5*v + 20. Let f(m) = m**3 + 10*m**2. Let h(i) = 5*f(i) - l(i). Let c be (-11)/(-3)*-1*3. What is the units digit of h(c)? 5 Let b(z) = z**2 + 1 - 5 + 9*z - 2*z**2 + 2*z**2. Let h be b(-8). What is the tens digit of (-590)/h - (-5)/(-30)? 4 Let v = -322 + 308. Let u(a) = 3*a**2 - 10*a - 169. What is the hundreds digit of u(v)? 5 Let y(d) = -d + 11*d + 79 + 69 - 7*d. What is the units digit of y(28)? 2 Let w(c) be the first derivative of -c**4/4 - 4*c**3/3 + 4*c**2 - 29*c + 102. What is the units digit of w(-13)? 8 Suppose 0 = 42*f - 38*f. Let r(p) = f + p**2 - 11 + 8 + 7*p. What is the units digit of r(3)? 7 Let z be 10 + (-1)/((-1)/2). Suppose -3*u = z, -4 - 56 = -3*n + 3*u. Suppose 0 = -17*y + n*y + 62. What is the units digit of y? 2 Let d = 45247 - 29700. What is the hundreds digit of d? 5 Let p(c) = 8*c**3 + 15*c**2 - 56*c - 63. What is the thousands digit of p(8)? 4 Suppose 4*d + 1825 = i, -3*i - i + 3*d = -7391. What is the thousands digit of i? 1 Let j = 178 + -173. Let g(o) = o**2 + o - 1. What is the units digit of g(j)? 9 Suppose -33*c + 46500 = -27*c. What is the hundreds digit of c? 7 Let w be 2/8 - ((-10168)/32 - -9). Suppose w = -5*d + 8*d. What is the hundreds digit of d? 1 Suppose -5*x + 15353 = -q - 75484, -2*x + 36333 = -q. What is the ten thousands digit of x? 1 Let s be 0/(-5) - (-13 - 1). Suppose 0 = s*t - 4*t - 40. What is the tens digit of 94 - t/(2/(-2))? 9 Let m(o) = 5*o + 5. Let w be m(28). Let g = w + 347. What is the tens digit of g? 9 Let y(x) = -x**3 - 9*x**2 + 7*x - 24. Let g be y(-10). Suppose g*z + 6 = 18. Suppose n + 6*m - 268 = z*m, -m + 1 = 0. What is the hundreds digit of n? 2 Let m = 78558 + -24751. What is the units digit of m? 7 Suppose 101*u + 441887 = 1830738. What is the hundreds digit of u? 7 Suppose 3*d - 27927 = -1628 + 9650. What is the ten thousands digit of d? 1 Suppose 3*v - 42 = 2*p, 3*p = -2*p. Suppose 0 = m - 3*k - v, 2*m - 5*m - 8 = k. What is the units digit of (m - -21 - 2)/((-12)/(-8))? 2 Let f(o) = -2*o + 10. Let v be f(16). Let n = 42 + v. Suppose 4*i - n = 0, 6*m - 170 = 2*m + 2*i. What is the units digit of m? 5 Let q(w) = 33*w**3 + 5*w**2 - 3*w + 3. Let k = 46 + -43. Let r be q(k). Suppose -11*h = -h - r. What is the units digit of h? 3 Suppose 454004 = 259*o - 5693142 + 1183670. What is the thousands digit of o? 9 Suppose 15*d - 4 = 19*d. Let m be (116/(-8))/(-1*d/6). What is the tens digit of (-1 - m) + ((-30)/5 - -9)? 8 Let g be 3/4 - (-1077)/4. Suppose -11*a = -8*a - g. What is the tens digit of a? 9 Let i = 3663 - 2607. What is the hundreds digit of i? 0 Let v(z) = 43*z + 139. What is the tens digit of v(27)? 0 Suppose 0 = -4*l + 2*s + 9100 - 2098, 4*l - 3*s = 6997. What is the thousands digit of l? 1 Let b(k) = -219*k + 1329. What is the units digit of b(0)? 9 What is the hundreds digit of 252772/28 + (-680)/1190? 0 Let w be 16587/(-6) + 3/6. Let o = -1491 - w. What is the thousands digit of o? 1 Suppose -2*z = 3*d + z - 24, 4*z = 2*d + 2. Let b(y) = -y**2 + 6*y. Let q be b(d). Suppose q*k - 11*k = -870. What is the units digit of k? 5 Let m = 12315 + 5275. What is the tens digit of m? 9 Let w(d) be the second derivative of d**5/15 - d**4/8 + 2*d**3/3 - 3*d**2 + 21*d. Let u(v) be the first derivative of w(v). What is the units digit of u(-5)? 9 Suppose -9*w = 11*w + 4173 - 145913. What is the tens digit of w? 8 Let n(x) be the first derivative of 4*x - 4 + 5/3*x**3 + 7/2*x**2. What is the tens digit of n(6)? 2 Suppose -5*m = -2*w + 23, -m - 3 = -0. Suppose 13 = w*z + 29. What is the tens
{ "pile_set_name": "DM Mathematics" }
). Let f be -91 - -1 - (-1 - -2). Let t = f - c. Does 15 divide t? True Let f(h) be the first derivative of 5*h**5/12 - h**4/24 - h**3/3 + h**2 + 3. Let v(b) be the second derivative of f(b). Does 20 divide v(-2)? True Suppose 157*m - 79929 = 1474214. Does 91 divide m? False Let c(n) = 2*n**3 + 17*n**2 - 6*n + 16. Let o = 359 + -367. Is c(o) a multiple of 4? True Let u be (-7 - (-165)/20)*1*8. Does 23 divide 7632/20 + ((-8)/u)/(-2)? False Let r be 6 - (8 - 1) - -1. Suppose -19*h + 24*h = 4*i - 2794, -2*i + 5*h + 1402 = r. Is 12 a factor of i? True Let r = -5765 - -10425. Is 12 a factor of r? False Let q be (6 + (0 - -1))*5. Suppose 2*k - q + 25 = 0. Suppose k*z + 5*a = 405, 2*z - 2*a = -a + 147. Is 19 a factor of z? True Suppose 0 = 2*b - 178 + 208. Is (-148)/((((-20)/b)/4)/(-1)) a multiple of 59? False Let q(x) = 10*x**2 + 4*x + 2. Let f be q(-3). Let p = f - 77. Is (-7)/(42/(-135))*(p + -1) a multiple of 9? True Suppose 5*g - 97 = -12. Suppose 14*s = g*s - 588. Is s a multiple of 14? True Let y be 10/65 + 4/(-78)*-75. Suppose y = -2*g - 5*o + 16, 0 = 2*g + 3*o - 16. Does 3 divide (6 - 3)/12*(1 + g)? True Let c be 316/5 + (-10)/50. Suppose -c - 77 = 5*m + 5*s, 2*s + 4 = 0. Let i = -7 - m. Is i a multiple of 5? False Let z(n) = 4*n**2 - 3*n - 1. Let l be z(5). Let c = -72 + l. Suppose 3*k + 648 = c*k. Is 36 a factor of k? True Let s(l) = 37*l - 616. Is s(45) a multiple of 40? False Suppose -3*f = -3*x + 174, -2*f + x = 2*f + 241. Let g = f + 64. Does 36 divide (-3)/g*(-197 + 1)? False Is 8/(-2 + 5951/2970) a multiple of 36? True Suppose 0 = -6*z + 2*z + 3*w - 2882, -3*z - 4*w = 2149. Let l = z + 1125. Is l a multiple of 58? True Let r(w) = w**3 - 83*w**2 + 59*w + 191. Is r(83) a multiple of 16? True Let b be (5/(-2))/((-4)/(-8)) + 45. Does 10 divide 3/(-30) - (-34804)/b? True Let q(z) = 5. Let r(f) = 5*f - 17. Let b(k) = 14*q(k) - 2*r(k). Does 17 divide b(7)? True Suppose 0 = -5*l - 4*n + 480, 134 = 4*l + 3*n - 249. Let d = l + 40. Is d a multiple of 28? False Let i(k) = 2*k**2 - 14*k + 3. Let f be i(7). Suppose j = 4*z + 172, 560 = -0*j + f*j - z. Suppose -8*o + j = -68. Does 8 divide o? True Suppose 0 = -17*x + 3995 + 6116 + 9932. Is x a multiple of 9? True Suppose -12*o = -22*o. Suppose -2*m + 12 - 4 = o, -3*m = 4*d - 936. Does 21 divide d? True Let u(a) = a**2 + 17*a + 8. Let z be u(13). Let q = z + 120. Does 37 divide q? True Suppose q - 3 = 0, 7*c = 2*c + 4*q + 2783. Let k be 3/(-12) - c/4. Let p = k - -280. Does 28 divide p? True Let q be 3/(-1) + 1 - (-8 - -4). Suppose j + q*f = 168, 4*f + 309 = 2*j - f. Is 18 a factor of (50/4)/(9/j)? False Is 6/(-9) - (-185074)/123 a multiple of 16? True Let p(t) = 77*t**2 - t - 4. Let j be p(2). Suppose 2*m - 4*l - 293 = -m, j = 3*m + 5*l. Does 15 divide m? False Let b = -426 + 1185. Suppose -72*m - b = -75*m. Does 13 divide m? False Suppose -1380352 = 316*h - 625*h + 245*h. Is h a multiple of 64? True Let c = 161 - 164. Does 11 divide c*(-4)/(-36) - 295/(-3)? False Let d(z) = -13*z - 49. Let f(j) = -7*j - 25. Let g(p) = 6*d(p) - 11*f(p). Let x be g(-22). Suppose x*y = -15, -330 + 1285 = 5*k + y. Does 12 divide k? True Suppose 2*b + 3811 + 1803 = 4*c, 3*b + 1401 = c. Is c a multiple of 40? False Suppose -115*i - 197*i + 2544360 = 0. Does 75 divide i? False Suppose 6*y - 80 = 4. Suppose 5*k + 5*b + 279 = y, 126 = -2*k + 2*b. Let s = k - -98. Is s a multiple of 14? False Suppose 15247077 = 616*s + 4175982 - 12850033. Does 14 divide s? False Suppose 38*j - 141225 = -40*j + 373653. Is j a multiple of 7? True Let y(f) = 3*f**2 + f - 13. Let i be y(5). Let m(u) = 66 + 0*u**3 - i + u + u**2 + u**3. Is m(3) a multiple of 4? False Let i = 20543 + -15660. Is i a multiple of 4? False Suppose 2*d = o + 1 + 1, 3 = -o + d. Let z be (9/(-48)*o)/(1/(-4)). Is 53 a factor of -2 - z/(15/1070)? True Suppose -181*r + 183*r + 3*a = 54187, 5*r - 2*a = 135420. Does 147 divide r? False Let h(o) = o**2 + 17*o + 18. Suppose -3*l - 2*s - 3*s - 73 = 0, 2*l + 27 = s. Let r be h(l). Suppose r*p = 55 + 23. Is 4 a factor of p? False Suppose -3*z = -0*z + 18. Does 42 divide (-2)/z + (-11395)/(-15) + -5? False Is 893/38 + (-27)/6 + 4 even? False Suppose -50*o + 2*i + 286 = -47*o, 2*i = -4*o + 386. Is o a multiple of 3? True Let n = -4594 + 14451. Is n a multiple of 21? False Suppose 3*g - 4*q + 237 - 969 = 0, 0 = 2*g - 2*q - 486. Suppose -4*d + 2*x = -g, d + x = -4*x + 60. Is d a multiple of 5? True Suppose -5*x + i = -26565, 26565 = 5*x - 63*i + 68*i. Is 69 a factor of x? True Let j(w) = -w**3 + 10*w**2 - 13*w + 45. Let h be j(9). Suppose 0 = -4*g + 5*g - 26. Let t = h + g. Is 35 a factor of t? True Let p be -1 + 1 + 7/(14/(-10)). Is p/(-15)*-37*-27 a multiple of 46? False Let u = -1 - -3. Suppose h - 108 = -2*l, -u*h - 3*l + 327 = h. Let x = h - 66. Does 22 divide x? True Let o = 34 - 30. Suppose -o*x + 13 = -7. Suppose -l + 28 = -2*u, -2*u - 134 = -4*l - x*u. Is l a multiple of 14? False Suppose -2*n + 6 = -5*n, -5*s - 52 = -4*n. Let a(x) = x**2 + 13*x + 19. Let l be a(s). Suppose -l*k + 625 = -306. Is 19 a factor of k? True Is (-48054)/(-4) - -2 - (-95)/(-38) a multiple of 58? False Suppose 168*g - 34*g - 7055973 + 1136121 = 0. Is g a multiple of 12? False Suppose -3*b = -1267 - 158. Suppose -483 = -3*g + 3*n, 3*g - n + 0*n = b. Suppose 9*j = -4 + g. Is j a multiple of 5? False Suppose -3*t - 4*q = -0*q - 8651, 14449 = 5*t - q. Is 2 a factor of t? False Let d(u) = 2*u - 1. Let i be d(2). Suppose -11 - 445 = -i*y. Suppose -3*g = -5*w + 703 + y, -171 = -w - 5*g. Is 10 a factor of w? False Suppose 0 = 4*s + 4*f - 51932, -132*s - 25951 = -134*s + f. Is 21 a factor of s? True Suppose -17274 = -25*y + 20*y + x, 3*x + 10374 = 3*y. Is 73 a factor of y? False Let w be (-16 - -10)*-6*(1 - 0). Suppose 2*k = -8, -4*b + 8 = -5*k - w. Suppose 5*r = -3*h + 429, 3*r - 5*h - 255 = -b*h. Does 29 divide r? False Let l(c) be the first derivative of -27*c**2 - 244*c + 90. Is 13 a factor of l(-5)? True Let s(j) = -j**3 - 3*j**2 + j + 3. Let p be s(-3). Suppose -z + 800 = -p*z. Is 20 a factor of 16/(-12) - z/(-6)? False Does 23 divide ((-15444)/2288)/(1 - 0 - 923/920)? True Suppose 7*b - 4*l + 23685 = 12*b, 5*b + l - 23685 = 0. Is 3 a factor of b? True Suppose 0 = 3*v + c - 27622, -14*c + 3 = -11*c. Is v a multiple of 11? True Suppose 4*p + 0*t - 4534 = 5*t, -3*p = t - 3410. Does 38 divide p? False Let g be -3*12/(-27)*108/(-6). Does 21 divide 2*126*(0 - 6/g)? True Let j be 751/(-7) - (5 - 296/56). Let z = j - -187. Is 5 a factor of z + (-4 - (0 + -4)/4)? False Let p = 5959 - 4549. Does 17 divide p? False Let u(r) = 21*r**3 - 30*r**2 + 40*r - 210. Does 199 divide u(12)? True Suppose -5*h - 5*n + 10*n - 1255 = 0, -5*h + 4*n - 1255 = 0. Let j = 172 - h. Is 6 a factor of j? False Let l = 176 + -93. Let q = l + -139. Let u = q - -76. Does 4 divide u? True Suppose 3*c + 3 + 84 = 0. Let w = 7 + c. Does 6 divide (-1382)/w + -3 + (-4)/(-22)? True Suppose 18*v + 929 = 14699. Is 2 a factor of v? False Suppose 72622 - 198286 = -44*h. Does 21 divide h? True Let t(k) = k**3 + 8*k**2 - 5*k - 34. Let l be t(-8). Does 7 divide (40/l)/((-18)/(-189))? True Suppose 0 = -12*d - 12 - 12. Is d - (-233 + (-4 - -7)) a multiple of 15? False Let f be 1 + -2 + 16/(5 - 1). Suppose 10*g = f + 17. Is (13/(-2))/(g/(-12)) a multiple of 13? True Suppose 62580 = 5*m + 4*c, 7421 + 17594 = 2*m + 5*c. Is 76 a factor of m? False Suppose 22*g + 37*g = -28*g + 762903. Is 237 a factor of g? True Let i = 159 + -158. Does 15 divide i + 7 - (0 - 7)? True Let a(t) = -55*t**2 + 4*t + 13. Let m be a(-2). Let v = m - -254. Does 7 divide v? False Let i be (-6)/8 + (-324)/(-48). Suppose 2*n + 304 = i*n. Does 4 divide n? True Let v(t) = 5*t**2 + 25*t - 42. Let z be v(14). Suppose 70*l - 77*l + z = 0. Is 4 a factor of l? True Let b = -1049 - -1667. Suppose -w - 4*m = -b, -2*w + 1233 = 4*m + m. Does 57 divide w? False Let i = 2024 + 141. Suppose -1177 + i = q. Is q a multiple of 52? True Let h = -139 - -227. Let d = -58 + h. Is d a multiple of 6? True Suppose 0 = 8*s - 28 - 108. Suppose s*l + 4257 = -4685. Let r = -311 - l. Is 49 a factor of r? False Is 48 a factor of 55461/35 + (-17)/(-5) + 24/(-6)? True Suppose -10*x + 9*x - 4 = 0. Does 20 divide x - -462 - ((-60)/(-5))/(-6)? True Let v = 14 + -16
{ "pile_set_name": "DM Mathematics" }
eplacement from ssccccscscss? 2/33 What is prob of sequence wp when two letters picked without replacement from {k: 3, p: 5, m: 3, l: 6, w: 1}? 5/306 Calculate prob of sequence qo when two letters picked without replacement from ofqarro. 1/21 Calculate prob of sequence fk when two letters picked without replacement from fmfvcki. 1/21 Three letters picked without replacement from {a: 9, d: 3}. What is prob of sequence ada? 9/55 Two letters picked without replacement from {s: 6, d: 2}. What is prob of sequence dd? 1/28 Three letters picked without replacement from {t: 6, j: 4, w: 4, k: 3}. Give prob of sequence wtk. 3/170 Four letters picked without replacement from {i: 4}. Give prob of sequence iiii. 1 Two letters picked without replacement from {s: 2, w: 4}. Give prob of sequence sw. 4/15 Calculate prob of sequence pip when three letters picked without replacement from irpprrrerpieerppprpp. 14/855 What is prob of sequence wxy when three letters picked without replacement from {p: 3, y: 2, s: 1, x: 3, w: 1, v: 1}? 1/165 Calculate prob of sequence jnn when three letters picked without replacement from {f: 4, n: 3, x: 1, j: 2}. 1/60 What is prob of sequence zne when three letters picked without replacement from {z: 4, e: 1, o: 4, n: 3, a: 1}? 1/143 Four letters picked without replacement from {a: 6, i: 3, s: 2, n: 2}. Give prob of sequence anaa. 2/143 Two letters picked without replacement from {y: 2, p: 2, u: 1, i: 2, z: 4, d: 3}. What is prob of sequence du? 3/182 Two letters picked without replacement from wwnwwweeewnnynwwww. Give prob of sequence nw. 20/153 Two letters picked without replacement from qqqiqqqq. Give prob of sequence qq. 3/4 What is prob of sequence oooo when four letters picked without replacement from oooooooooo? 1 What is prob of sequence zszz when four letters picked without replacement from {a: 9, z: 10, s: 1}? 2/323 Four letters picked without replacement from {v: 1, o: 1, w: 3, s: 1, u: 5, j: 1}. Give prob of sequence wuuu. 1/66 Calculate prob of sequence zzqq when four letters picked without replacement from qqqzqqqzqzeqqqqeq. 33/2380 Four letters picked without replacement from {m: 4, e: 2, j: 1, u: 1}. What is prob of sequence mjum? 1/140 Two letters picked without replacement from {b: 2, w: 5, a: 12}. Give prob of sequence aa. 22/57 What is prob of sequence vbva when four letters picked without replacement from dbbabdddrvvd? 1/1980 What is prob of sequence lf when two letters picked without replacement from lxjpfpoxfpx? 1/55 What is prob of sequence kb when two letters picked without replacement from {b: 5, k: 2, t: 1, w: 2, o: 8}? 5/153 Three letters picked without replacement from ccccyccccy. What is prob of sequence ccy? 7/45 Calculate prob of sequence wlu when three letters picked without replacement from {o: 5, u: 2, l: 8, w: 1}. 1/210 What is prob of sequence errr when four letters picked without replacement from {e: 2, r: 3}? 1/10 Calculate prob of sequence ww when two letters picked without replacement from {q: 2, w: 7}. 7/12 What is prob of sequence zj when two letters picked without replacement from hhzhijjhhissdhzh? 1/60 What is prob of sequence dkk when three letters picked without replacement from kkouuudkuukkkuukuk? 7/612 Four letters picked without replacement from {b: 1, l: 1, i: 1, m: 2, g: 1, w: 1}. What is prob of sequence lmgm? 1/420 Calculate prob of sequence nn when two letters picked without replacement from nsssnunuussuu. 1/26 Three letters picked without replacement from jrjwrwvrjwj. What is prob of sequence wjv? 2/165 Two letters picked without replacement from lfpgyylsf. What is prob of sequence pg? 1/72 Calculate prob of sequence mxm when three letters picked without replacement from {y: 6, x: 2, m: 3, k: 1, d: 2, s: 4}. 1/408 Four letters picked without replacement from {q: 4, y: 10, b: 6}. Give prob of sequence byqq. 2/323 Calculate prob of sequence nnnn when four letters picked without replacement from {a: 6, n: 7}. 7/143 Four letters picked without replacement from {k: 1, h: 8, o: 1, w: 3, b: 6}. Give prob of sequence wwob. 1/2584 Four letters picked without replacement from xxbixbxxxbxbxbbbbbx. What is prob of sequence ixbb? 9/1292 Three letters picked without replacement from {h: 3, t: 6, g: 4, o: 1}. What is prob of sequence hhg? 1/91 Four letters picked without replacement from {v: 1, s: 6, y: 4, l: 7}. What is prob of sequence lylv? 7/3060 Calculate prob of sequence hhhh when four letters picked without replacement from {r: 7, i: 4, h: 7}. 7/612 Calculate prob of sequence juru when four letters picked without replacement from {u: 4, f: 1, r: 5, j: 1, g: 1, m: 1}. 1/286 What is prob of sequence omfo when four letters picked without replacement from {o: 8, m: 2, f: 1, n: 7}? 7/4590 Three letters picked without replacement from lrrsyws. Give prob of sequence lrw. 1/105 Two letters picked without replacement from {d: 1, z: 2, i: 4}. What is prob of sequence zd? 1/21 Calculate prob of sequence wdd when three letters picked without replacement from {w: 3, d: 3}. 3/20 Calculate prob of sequence hx when two letters picked without replacement from hhhmuxxsxxuuxrmmum. 5/102 What is prob of sequence oo when two letters picked without replacement from axjaoaaxoovvj? 1/26 Two letters picked without replacement from {p: 1, m: 5, c: 1, z: 2, o: 1}. What is prob of sequence oc? 1/90 Three letters picked without replacement from arrarararraaarrrraaa. What is prob of sequence aar? 5/38 Four letters picked without replacement from {x: 1, p: 1, m: 2, v: 1, t: 1, g: 1}. What is prob of sequence vxgp? 1/840 Four letters picked without replacement from {j: 3, z: 2, x: 2, y: 3, c: 1, m: 1}. What is prob of sequence jczy? 1/660 Two letters picked without replacement from dbdxdtxawaa. What is prob of sequence xa? 3/55 Two letters picked without replacement from qqqw. Give prob of sequence wq. 1/4 Calculate prob of sequence ulls when four letters picked without replacement from ulslduulllluul. 5/572 Calculate prob of sequence tgt when three letters picked without replacement from gtnsnt. 1/60 Two letters picked without replacement from {c: 1, j: 6, q: 2, f: 3}. Give prob of sequence fj. 3/22 Calculate prob of sequence zb when two letters picked without replacement from {z: 1, b: 2, k: 1}. 1/6 What is prob of sequence uuuj when four letters picked without replacement from jjuuuuujuujujujjjuj? 45/646 Calculate prob of sequence pf when two letters picked without replacement from {f: 3, p: 5, c: 1}. 5/24 Calculate prob of sequence fr when two letters picked without replacement from {f: 3, r: 3, h: 1, k: 2, p: 1}. 1/10 Calculate prob of sequence oz when two letters picked without replacement from {o: 2, t: 1, z: 5, h: 1}. 5/36 Two letters picked without replacement from ukkuukkk. Give prob of sequence ku. 15/56 What is prob of sequence ss when two letters picked without replacement from {z: 7, j: 5, s: 7}? 7/57 Three letters picked without replacement from {g: 3, w: 4, q: 2, m: 1}. Give prob of sequence wqq. 1/90 Two letters picked without replacement from {e: 1, k: 2, q: 6, y: 2}. Give prob of sequence qk. 6/55 Four letters picked without replacement from eqeeeqqeeq. What is prob of sequence eqqe? 1/14 Calculate prob of sequence mwe when three letters picked without replacement from {m: 4, t: 2, w: 1, h: 2, e: 5}. 5/546 What is prob of sequence ri when two letters picked without replacement from hqrrqrhqhhiqq? 1/52 Four letters picked without replacement from vhrrhvvvhevrellv. Give prob of sequence rlrv. 3/1820 What is prob of sequence fqqy when four letters picked without replacement from {q: 7, y: 9, f: 3}? 63/5168 Four letters picked without replacement from {f: 1, o: 6, y: 2, p: 3, d: 7}. Give prob of sequence fopp. 1/2584 Calculate prob of sequence wwrw when four letters picked without replacement from {r: 2, w: 9}. 7/55 What is prob of sequence ws when two letters picked without replacement from cwbqcyccqyssqycsqqyc? 3/380 Calculate prob of sequence gg when two letters picked without replacement from ghghhhhggghg. 5/22 Four letters picked without replacement from zrrrzzz. What is prob of sequence rzrr? 1/35 Calculate prob of sequence gj when two letters picked without replacement from {j: 1, v: 3, a:
{ "pile_set_name": "DM Mathematics" }
w**3 - 26*w**2 Let a(k) = 3*k**2 + k - 6. Let p(r) = 2*r**2 + r - 3. Calculate -3*a(u) + 5*p(u). u**2 + 2*u + 3 Let u(d) = 6*d**2 + 7*d. Let j(a) = -18*a**2 - 22*a. Calculate 3*j(p) + 8*u(p). -6*p**2 - 10*p Let t(v) = -5*v - 83. Let i(g) = 4*g + 83. Give -4*i(z) - 3*t(z). -z - 83 Let n(a) = 2*a - 82. Let q(i) = -10*i + 329. Determine -9*n(s) - 2*q(s). 2*s + 80 Let j = 157 + -139. Let r(k) = -k**3 + 20*k**2 - 36*k + 3. Let l be r(j). Let m(z) = 4*z**3 + 2*z**2 - z. Let y(b) = 5*b**3 + 3*b**2 - b. Give l*m(o) - 2*y(o). 2*o**3 - o Let d(m) = -14*m + 20. Let a(t) = -29*t + 44. Let n(k) = -3*a(k) + 7*d(k). Let u(h) = -4*h + 3. Determine -3*n(x) + 8*u(x). x Let p(l) = l - 1. Let f(v) = -2*v + 1. Suppose 10*c - 42 = -22. Determine c*f(k) + 6*p(k). 2*k - 4 Let y(j) = -j**2 - j. Let r(c) = 16*c**2 + 6*c. Let d(w) = 34*w**2 + 12*w. Let t(k) = -6*d(k) + 13*r(k). Calculate t(m) + 6*y(m). -2*m**2 Let d(y) = -6*y + 5. Suppose -2*b = 2*b + 48. Let g be (8 - 1)*18/42. Let u(j) = -7 - 8 + 15*j + g. Calculate b*d(v) - 5*u(v). -3*v Let f(r) = -6*r**3 - 7. Let z(i) = -5*i**3 - 6. Let u(s) = -3*s**3 + s**2 + s + 1. Let w be u(2). Let v = w - -21. Give v*f(j) - 5*z(j). j**3 + 2 Let n(x) = 2*x**3 + x**2 + 2*x + 1. Let w(v) = 2 - 9*v**3 - 11*v - 1398*v**2 + 1393*v**2 - 8. Give -11*n(m) - 2*w(m). -4*m**3 - m**2 + 1 Let h(p) = 5*p**3 + 36*p**2 + 12*p + 2. Let f(x) = 11*x**3 + 73*x**2 + 26*x + 4. Calculate 6*f(m) - 13*h(m). m**3 - 30*m**2 - 2 Suppose -d + 2*v - 5 = 0, -2*d - 3 = 4*v - 9. Let z(u) be the second derivative of 1/3*u**3 + 1/2*u**2 + 0 + 3*u. Let s(n) = -n - 1. Calculate d*z(r) - s(r). -r Let v(q) = 13*q + 7. Let t(r) = 2*r + 1. Determine -10*t(s) + 2*v(s). 6*s + 4 Let g(d) = -280*d**3 - 42*d**2 + 42*d - 42. Suppose 5*i - 8*o + 4*o = -194, 34 = -i + 2*o. Let w(f) = 33*f**3 + 5*f**2 - 5*f + 5. Give i*w(y) - 5*g(y). 14*y**3 Let g(x) = 9. Let q(w) = 4. Let m(t) = g(t) - 2*q(t). Let p(o) = -2*o + 14. Let n(s) = -s**3 + s**2 + s + 1. Let a be n(2). What is a*p(f) + 12*m(f)? 2*f - 2 Let z = -14 - -14. Let b(y) = 2*y**2 - y + z*y**2 + 2*y**2 - 5*y**2. Let g = -99 + 100. Let s(c) = -4*c**2 - 2*c. Determine g*s(p) - 2*b(p). -2*p**2 Let j(r) = -r + 5. Let f be (1 - -1) + 20/5. Let s(p) be the third derivative of p**4/24 - p**3 - 224*p**2. Determine f*s(d) + 7*j(d). -d - 1 Let b(d) = -17*d**2 - 11*d - 8. Suppose 0 = -2*g - m + 13, g - 7*m + 3*m = -16. Let h(v) = -3 - 4 + g*v + 7 + 6*v**2 + 3. What is 4*b(x) + 11*h(x)? -2*x**2 + 1 Let j(d) = -46*d**2 + 23*d. Suppose 138 = -158*w + 164*w. Let v(a) = -a**2 + a. Calculate w*v(u) - j(u). 23*u**2 Let r(b) = 4*b**2 + 5*b + 12. Let c(w) = -w**2 + w + 1. Determine -3*c(g) + r(g). 7*g**2 + 2*g + 9 Let j(h) = -25*h - 13. Let n(v) = -56*v - 25. What is -5*j(g) + 2*n(g)? 13*g + 15 Let i(r) = -15*r**3 - r**2 + 2*r - 1. Let j(f) = 2*f**3 + f. Calculate -i(p) + 4*j(p). 23*p**3 + p**2 + 2*p + 1 Let p(d) = -61*d**3 + 6*d**2 - 6. Let q(g) = 7504*g**3 - 737*g**2 + 737. What is 737*p(r) + 6*q(r)? 67*r**3 Let l(g) = g**2 - 5*g - 4. Let u(f) = 3*f + 2. What is 3*l(j) + 5*u(j)? 3*j**2 - 2 Let s(w) = 3*w**2 + 5 + 0*w - w - 3*w + 2*w**2. Let y(a) = a**2 + a + 2. Let x be y(3). Let c = x - 21. Let m(f) = -2*f**2 + 2*f - 2. Calculate c*m(j) - 3*s(j). -j**2 - 2*j - 1 Let k(d) = 159*d**3 - 10*d**2 - 10*d + 8. Let t(g) = -479*g**3 + 28*g**2 + 28*g - 23. What is 17*k(p) + 6*t(p)? -171*p**3 - 2*p**2 - 2*p - 2 Let j(n) = 101*n**2 - 12. Let a(c) = 19795*c**2 - 2354. Determine 6*a(h) - 1177*j(h). -107*h**2 Let q(s) = 6*s + 7. Let n(m) = -m - 1. Let z = 795 + -796. What is z*q(c) - 5*n(c)? -c - 2 Let m(h) = -h. Let a(l) = 120*l. Give a(g) - 12*m(g). 132*g Let f(l) = 12*l**2 - 6*l + 5. Let s(p) = p**2 + p - 1. Calculate f(k) + 5*s(k). 17*k**2 - k Let d(c) = -182112*c**3 + 5420*c**2 + 1355*c + 1355. Let j(z) = 269*z**3 - 8*z**2 - 2*z - 2. Give 2*d(u) + 1355*j(u). 271*u**3 Let r(y) be the third derivative of -y**6/20 - y**5/6 - 25*y**2 + y. Let k(o) = -5*o**3 - 9*o**2. Determine 5*k(v) - 4*r(v). -v**3 - 5*v**2 Let j(c) = c**3 + c**2 + 2*c + 1. Let q(f) = -11*f**3 - 83*f**2 - 12*f - 6. Determine 6*j(z) + q(z). -5*z**3 - 77*z**2 Let s(v) = -v**2. Let f(b) = 15*b**2. Give 2*f(h) + 6*s(h). 24*h**2 Let m(u) = 7*u - 6. Let v = -80 - -106. Let p = v + -21. Let h(n) = -8*n + 7. What is p*h(y) + 6*m(y)? 2*y - 1 Let n(z) = -z**3 + z**2 + z + 1. Let v(p) = -2*p**3 - 16*p**2 + p + 1. Give -2*n(x) + 2*v(x). -2*x**3 - 34*x**2 Let d be ((-6)/8)/((-30)/160). Let u(v) = -4*v + 4. Let k(h) = h + 1. What is d*k(x) - u(x)? 8*x Let v(r) be the first derivative of -r**3/3 - r**2/2 + 159. Let i(t) = -9*t**2 - 7*t. What is -i(y) + 6*v(y)? 3*y**2 + y Let v(f) be the third derivative of f**4/24 + f**3/6 - 7*f**2 + 29*f. Let r(w) = 6*w + 7. What is -r(h) + 2*v(h)? -4*h - 5 Let a(f) = 13*f - 12. Let h(s) = 22*s - 24. What is -7*a(o) + 4*h(o)? -3*o - 12 Let l(z) = z + 1. Let r(d) = -2*d - 3. Suppose -3*v - 89 = 5*o - 275, -2*v - 3*o = -124. Let w = -60 + v. Calculate w*r(n) + 6*l(n). 2*n Let p(r) = -2. Let t(n) = n - 4. Let z(d) = 7*p(d) - 3*t(d). Let c(y) = -4*y - 2. Suppose -l = 2*g - 9, -l - 2*g + g = -7. Calculate l*z(o) - 4*c(o). o - 2 Let a = 0 - -2. Let q(z) = -3*z**2 - a + 2. Let y(r) = -r**3 + 7*r**2 - 11*r + 9. Let j be y(5). Let o(i) = i**2. Determine j*q(k) + 15*o(k). 3*k**2 Let y(f) = 26*f**2 + 4*f + 6. Let k(n) = -12*n**2 - 2*n - 3. What is -9*k(t) - 4*y(t)? 4*t**2 + 2*t + 3 Let w(r) = 5*r**3 + 3*r**2 - 7*r - 5. Let z(d) = 4*d**3 + 2*d**2 - 7*d - 4. Determine 2*w(v) - 3*z(v). -2*v**3 + 7*v + 2 Let b(v) = -2*v**2 - v + 1. Let j(m) = 3*m**2 + 2*m - 1. Let t(r) = r**3 + 10*r**2 + 20*r - 3. Let k be t(-7). What is k*b(o) + 3*j(o)? o**2 + 2*o + 1 Let w(h) = 11*h - 1. Let r(c) = 9*c. Determine -6*r(n) + 4*w(n). -10*n - 4 Let p(j) = j**2 - 4*j - 5. Let c be ((-10)/(-3))/(26/39). Let v(w) = w**2 - 7*w - 9. Give c*p(q) - 3*v(q). 2*q**2 + q + 2 Let j(a) = 33*a + 38*a - a**2 - 75*a. Let w(r) = r**2 + r. Give -2*j(d) - 6*w(d). -4*d**2 + 2*d Let d(g) = 1. Let x(q) = q. Let r(t) = 3*t - 1. Let c(k) = r(k) - 2*x(k). Calculate -c(a) - 3*d(a). -a - 2 Let f(o) = 7*o - 9. Let h(t) = 10*t - 14. Give 8*f(s) - 5*h(s). 6*s - 2 Let i(m) = m**2. Let c(k) = -3*k**2 - 4*k + 1. Let d be 0 + (7 - (14 - 6)). Give d*c(l) - 4*i(l). -l**2 + 4*l - 1 Let v = -15 - -20. Suppose 0 = 4*c + c - v. Suppose 2*u = 6*u - 8. Let g(p) = -p + 2. Let b(q) = q**3 + q - 1. Calculate c*g(x) + u*b(x). 2*x**3 + x Let k(t) = 121*t**2 - 3 - 4*t - 124*t**2 - 2. Let p(a) = -16*a**2 - 21*a - 26. What is 11*k(q) - 2*p(q)? -q**2 - 2*q - 3 Let u(j) = -6*j - 9. Let s(t) = -5*t - 8. Let b = 276 - 241. Let f(l) = l + 6. Let k be f(-3). Suppose -b = -k*m - 14. What is m*s(y) - 6*u(y)? y - 2 Let r(x) = -x**2 + 1. Let f(s) = s**2 - 13*s - 49. Let p be f(16). Let a(n) = 3*n**3 - 12*n**2 + 12. Determine p*a(j) + 12*r(j). -3*j**3 Let k(u) = 2*u - 4. Let v(b) = 1. Let c(j) = k(j) + 3*v(j). Let d(z) be the third derivative of -z**4/8 - z**2 + 5. Calculate -4*c(a) - 3*d(a). a + 4 Let w(b) = 6*b + 3. Let o(v) = 2*v - 8*v + 2*v - 3 + 1. Suppose -f + 2*f = -7. Let l = -19 + 14. Give f*o(r) + l*w(r). -2*r - 1 Let i(p) = -5*p - 93. Let y(z) = z - 1. Calculate i(u) + 3*y(u). -2*u - 96 Let q(r) = -r**2 - r + 1. Let b(w) = -3*w**3 - 6*w**2 - 2*w + 4. Determine -b(m) + 4*q(m). 3*m**3 + 2*m**2 - 2*m Let g(n) = 6*n + 3. Suppose -18*s - 42 = -4*s. Let l(z) = 11*z + 7. Determine s*l(r) + 7*g(r). 9*r Let x(g) = 7 + 36*g**3 - 3*g - 4 - 17*g**3 - 20*g**3. Let t(s) = -2*s + 2. What is -6*t(b) + 4*x(b)? -4*b**3 Suppose -1052 = -44*s - 304. Let y(q) = 23*q - 8. Let z(d) = -8*d + 3. What is s*z(h) + 6*y(h)? 2*h + 3 Let c(f) = -25*f**3 - 5*f**2 - 5*f - 5. Let x(q) = -13*q**3 - 3*q**2 - 3*q - 3. Suppose 29*d - 12 = -157. What is d*x(p) + 3*c(p)? -10*p**3 Let k(y) = 374255*y - 8140. Let w(a) = 368*a - 8. Calculate -6*k(g) + 6105*w(g). 1110*g Let r(b) be the third derivative of b**5/60 + b**4/6 - 5*b**3/2 + 13*b**2 - 1. Let q(v) = -v**2 - 3*v + 10. What is 7*q(o) + 5*r(o)? -2*o**2 - o - 5 Let u(h) = -h**2 + 2*h + 17. Let r(f) = -f**2 + 4*f + 36. Calculate 3*r(s) - 5*u(s). 2*s**2 + 2*s + 23 Let b(i) = -9*i**3 - 5*i**2 - 1886*i. Let s(g) = -4*g**3 - 2*g**2 - 943*g. Calculate -2*b(h) + 5*s(h). -2*h**3 - 943*h Let a(s) = -1637*s**3 + 6*s**2 - 12*s. Let q(i) = -1638*
{ "pile_set_name": "DM Mathematics" }
). 99 Let y(c) = 21*c - 36. Calculate y(2). 6 Let t(o) = o**2 + 21*o - 122. Give t(-26). 8 Let d(g) = -8*g + 286. What is d(36)? -2 Let i(r) = r**3 + r**2 + 2*r + 30. Calculate i(-3). 6 Let f(r) = 3*r + 45. Determine f(-9). 18 Let c(p) = 2*p**3 + 12*p**2 + 3*p - 19. Calculate c(-6). -37 Let k(s) = -2*s + 2. What is k(2)? -2 Let p(d) = d**2 - 9*d + 7. Calculate p(7). -7 Let d(b) = b**3 - 4*b**2 - 7*b - 4. Determine d(-2). -14 Let a(c) = c - 95. Determine a(20). -75 Let r(n) = n**3 + 14*n**2 + 55*n + 25. Give r(-6). -17 Let j(o) = -o**2 + 29*o - 119. Give j(24). 1 Let k(d) = 5*d**2 + d - 9. Calculate k(2). 13 Let y(i) = -i**2 + 65*i + 658. Calculate y(74). -8 Let q(v) = v**3 + v**2 - 3*v + 2. Determine q(2). 8 Let v(m) = -5*m**2 - 38*m - 28. Give v(-7). -7 Let y(x) = x**3 - 7*x**2 - x + 3. What is y(6)? -39 Let f(m) = 2*m**3 - 9*m**2 + 8*m + 5. Calculate f(3). 2 Let t(n) = -5*n**3 + n**2 - n + 1. Determine t(1). -4 Let x(u) = -2*u**2 - 21*u - 61. Determine x(-6). -7 Let v(c) = -3*c - 5. Give v(-7). 16 Let k(h) = -15*h - 27. Give k(8). -147 Let v(u) = -u**2 - 9*u - 14. What is v(-4)? 6 Let g(x) = x**3 + 8*x**2 - 12*x - 22. Determine g(-9). 5 Let p(i) = i + 9. Calculate p(-14). -5 Let x(f) = -f**2 - 11*f + 52. Give x(-15). -8 Let t(j) = 11*j + 117. What is t(-11)? -4 Let k(a) = a**3 + 9*a**2 - 5*a - 50. Calculate k(-9). -5 Let i(u) = -2*u + 32. Calculate i(13). 6 Let o(f) = -f**3 - 6*f**2 + 15*f + 5. Give o(-5). -95 Let u(z) = -z**3 + z**2 - z - 49. Calculate u(0). -49 Let x(b) = b**3 + 5*b**2 + 4*b + 7. What is x(-4)? 7 Let r(a) = -4*a - 6. Give r(-9). 30 Let q(n) = -3*n**2 - 19*n + 12. Determine q(-7). -2 Let h(r) = 3*r + 59. Calculate h(-17). 8 Let c(d) = -6*d**2 - 2*d - 1. Calculate c(-1). -5 Let b(g) = 2*g**2 + 19*g. Calculate b(-10). 10 Let f(o) = 2*o + 16. Calculate f(5). 26 Let h(r) = -r**3 + 6*r**2 + 3*r - 8. What is h(6)? 10 Let m(a) = a**3 - 4*a**2 - a - 2. Calculate m(3). -14 Let h(w) = -w**3 + 4*w**2 - w - 2. Determine h(2). 4 Let p(f) = 58*f**2 + 3*f + 2. Determine p(1). 63 Let v(w) = -10*w - 12. What is v(-8)? 68 Let l(v) = -3*v**2 - 5*v - 2. Calculate l(-2). -4 Let f(u) = -2*u**3 - 41*u**2 - 14*u + 24. Calculate f(-20). -96 Let s(o) = -o**3 + 19*o**2 + 91*o + 3. Calculate s(-4). 7 Let r(n) = -16*n + 157. What is r(7)? 45 Let i(q) = 11*q - 24. Calculate i(3). 9 Let y(q) = -6*q + 80. What is y(14)? -4 Let f(o) = 107*o - 652. What is f(6)? -10 Let a(s) = -2*s**3 + 6*s + 6. What is a(-3)? 42 Let d(k) = k**2 - 9*k + 12. What is d(9)? 12 Let a(x) = x**3 - 2*x**2 - 3*x + 5. What is a(2)? -1 Let b(n) = -n**2 - 9*n - 5. Determine b(-7). 9 Let m(p) = p**2 + 4*p + 6. Determine m(-5). 11 Let d(u) = -34*u - 24. What is d(-3)? 78 Let k(j) = 3*j**2 - 11*j + 2. What is k(4)? 6 Let c(j) = -j**2 + 9*j. Give c(9). 0 Let c(b) = -b**3 + 7*b**2 - 2*b - 25. Determine c(6). -1 Let r(k) = -2*k**2 + 28*k + 2. What is r(14)? 2 Let f(j) = -16*j - 144. Calculate f(-9). 0 Let q(n) = -n**3 + 2*n + 3. Give q(-2). 7 Let y(d) = d - 3. Calculate y(6). 3 Let o(v) = -5*v**2 - 30*v - 22. Determine o(-5). 3 Let p(y) = y**3 - 8*y**2 - 9*y - 11. Calculate p(9). -11 Let n(l) = l + 23. What is n(0)? 23 Let f(i) = 3*i - 3. Calculate f(-2). -9 Let b(q) = q**3 + 15*q**2 + 2*q - 36. What is b(-15)? -66 Let h(n) = -38*n + 223. Determine h(6). -5 Let y(o) = -o**2 - 7*o + 16. Calculate y(-6). 22 Let m(u) = 2*u**2 + 8*u + 3. Give m(-7). 45 Let f(x) = 2*x + 9. What is f(-2)? 5 Let h(t) = 2*t. Give h(-5). -10 Let s(w) = w**2 - 31*w + 55. Calculate s(27). -53 Let f(v) = 5*v - 30. Give f(13). 35 Let q(r) = -5*r**2 + 4*r - 2. Determine q(-3). -59 Let y(v) = -v**3 + 2*v**2 + 2*v + 1. Calculate y(-3). 40 Let i(n) = -32*n - 17. Calculate i(6). -209 Let y(h) = -6*h**2 + 137*h + 29. What is y(23)? 6 Let r(u) = -u**2 - 4*u - 9. What is r(0)? -9 Let k(u) = 23*u**2 - 3*u + 1. What is k(2)? 87 Let k(f) = 2*f**2 - 17*f - 5. Calculate k(9). 4 Let y(s) = -17*s - 1. Determine y(-2). 33 Let c(m) = -m**3 + 17*m**2 - 23. Calculate c(17). -23 Let q(g) = g**2 - 29*g + 211. Determine q(13). 3 Let q(y) = -10*y - 33. What is q(-13)? 97 Let d(g) = g**3 + 11*g**2 + 7*g - 13. Give d(-10). 17 Let u(w) = -w**3 + 5*w**2 - 3*w + 6. Calculate u(5). -9 Let q(i) = -33*i - 175. What is q(-8)? 89 Let j(t) = 2*t**3 - 24*t**2 + 53*t + 22. Give j(9). 13 Let g(b) = -b**3 - 11*b**2 + 2*b + 25. Determine g(-11). 3 Let u(b) = -b**3 - 9*b**2 - 5*b - 3. Calculate u(-8). -27 Let a(b) = -4*b**2 - 25*b - 4. Give a(-6). 2 Let t(s) = -s**3 - 4*s**2 - 3*s + 4. What is t(-4)? 16 Let p(m) = -3*m - 41. Calculate p(-11). -8 Let q(z) = z**3 + 19*z**2 - 14*z + 85. Calculate q(-20). -35 Let g(j) = -2*j - 2. What is g(-3)? 4 Let l(b) = 2*b**2 + 47*b + 12. What is l(-23)? -11 Let l(y) = -y + 16. Determine l(9). 7 Let s(g) = 2*g + 2. Determine s(8). 18 Let h(j) = -2*j**2 - 4*j - 9. Determine h(-5). -39 Let w(a) = a**3 + 3*a**2 - 19*a - 12. Give w(-6). -6 Let b(h) = h**2 - 5*h - 36. Determine b(15). 114 Let y(m) = -7*m - 32. Determine y(-6). 10 Let o(m) = m**2 - 15*m - 6. Give o(11). -50 Let w(k) = -k**3 - 16*k**2 + 19*k + 34. What is w(-17)? 0 Let g(q) = -q**3 + 16*q**2 + 15*q + 16. Determine g(17). -18 Let t(u) = 12*u - 3. What is t(-2)? -27 Let b(m) = -m**3 - 9*m**2 - 4*m + 28. Determine b(-8). -4 Let z(s) = -6*s + 41. Calculate z(8). -7 Let f(i) = i**2 + 5*i + 7. What is f(-5)? 7 Let i(m) = 4*m + 90. Calculate i(-24). -6 Let t(h) = -h**3 - 4*h**2 + 4*h - 8. Determine t(-6). 40 Let f(x) = x**3 - 15*x**2 - x + 4. Calculate f(15). -11 Let h(z) = -z - 55. Calculate h(0). -55 Let h(f) = f**3 + 6*f**2 + 7*f + 7. Determine h(-5). -3 Let q(a) = -3*a + 14. Determine q(7). -7 Let u(n) = 5*n + 17. What is u(-8)? -23 Let j(z) = z**3 + 29*z**2 - 29*z - 34. Determine j(-30). -64 Let s(y) = 4*y + 14. Calculate s(-4). -2 Let q(w) = -w**3 + 3*w**2 + 6*w - 6. Give q(3). 12 Let l(x) = -44*x**2 - 1. Calculate l(-1). -45 Let r(p) = -2*p + 17. Determine r(8). 1 Let o(z) = -z**2 - 17*z - 20. What is o(-7)? 50 Let o(h) = -h**3 + 9*h**2 + 12*h - 8. Determine o(10). 12 Let u(a) = -a**3 - 6*a**2 - 3*a - 10. Give u(-4). -30 Let a(l) = -2*l**3 - 6*l**2 - 3*l + 8. Calculate a(-3). 17 Let a(s) = 7*s + 12. Give a(-1). 5 Let a(x) = x**3 + 7*x**2 + 11*x + 6. Give a(-5). 1 Let h(i) = i**3 - 10*i**2 - 14*i + 13. Determine h(11). -20 Let p(v) = -9*v - 18. What is p(6)? -72 Let l(g) = 14*g - 32. Calculate l(2). -4 Let k(f) = f**3 - 11*f**2 + 22*f - 9. Determine k(8). -25 Let v(j) = 3*j**2 + 2*j - 10. Calculate v(4). 46 Let c(q) = q - 22. Give c(9). -13 Let l(s) = 3*s - 12. Give l(4). 0 Let s(n) = n**2 + 4*n - 41. Determine s(-8). -9 Let t(y) = 2*y + 27. Determine t(-16). -5 Let r(b) = 2*b**2 - b + 3. What is r(4)? 31 Let w(u) = -7*u - 10. Give w(3). -31 Let o(k) = -2*k - 3. What is o(-3)? 3 Let c(o) = -o**3 - 21*o**2 + 2*o + 47. Determine c(-21). 5 Let y(s) = s**2 - 10*s + 12. Calculate y(10). 12 Let y(b) = -b**3 + 5*b**2 - 4*b - 6. Calculate y(4). -6 Let c(p) = -p**2 - 13*p + 228. Give c(10). -2 Let l(o) = -o**3 - 2*o**2 - 2. Calculate l(-3). 7 Let i(d) = -2*d**2 - 13*d - 2. Give i(-6). 4 Let l(k) = 5*k + 18. What is l(2)? 28 Let n(f) = -f**2 + 20*f + 1. What is n(18)? 37 Let h(r) = -2*r**2 + 6*r + 7. Determine h(5). -13 Let a(g) = -4*g**2 - 5*g + 5. What is a(1)? -4 Let s(h) = -h**3 - 7*h**2 + 3. Calculate s(-3). -33 Let h(w) = -5*w**2 + 5*w + 11. Calculate h(5). -89 Let b(f) = -f**2 + 25*f + 91. Determine b(29). -25 Let m(b) = -19*b - 163. Give m(-10). 27 Let w(f) = -f**3 - 5*f**2 - 4*f - 14. Give w(-5). 6 Let w(m) = -m**3 - 8*m**2 + 8*m - 5. What is w(-9)? 4 Let o(m) = m**3 + 18*m**2 + 17*m - 6. Determine o(-17). -6 Let u(a) = 5*a**2 + 3*a + 5. Determine u(-2). 19 Let a(x) = -19*x - 116. What is a(-6)? -2 Let g(f) = 5*f - 5. Determine g(2). 5 Let u(s) = 28*s - 104. What is u(7)? 92 Let m(a) = -16*a + 101. Calculate m(6). 5 Let r(j) = -j**3 - 2*j**2 - j + 4. Determine r(0). 4 Let x(l) = -l**3 - 4*l**2 - 42*l - 120. Calculate x(-3). -3 Let s(t) = 2*t**3 - 26*t**2 - t + 22. What is s(13)? 9 Let u(f) = -20*f**3 - 2*f**2 + 1. What is u(-1)? 19 Let z(c) = -c**3 - 10*c**2 - 4*c - 9. Determine z(-7). -128 Let m(t) = t**3 + 5*t**2 + 2*t - 9. Calculate m(-5). -19 Let v(n) = -n**2 - 4*n + 8. What is v(-6)? -4 Let c(g) = -g**2 + g + 43. What is c(0)? 43 Let i(f) = 10*f - 30. Give
{ "pile_set_name": "DM Mathematics" }
= 2/225 - -436/1575. Factor m*t + 30/7*t**3 + 18/7*t**4 + 0 + 2*t**2. 2*t*(t + 1)*(3*t + 1)**2/7 Suppose b = -13 + 15. Let w(q) be the first derivative of 2 + 8/9*q**3 - 1/6*q**4 - 5/3*q**b + 4/3*q. Determine d, given that w(d) = 0. 1, 2 Let z(j) = 2*j**2 - 4*j**2 + 3*j**2 - 1. Let y(n) be the second derivative of n**5/5 - n**4/12 - 7*n**3/6 + 2*n**2 - 3*n. Let d(o) = y(o) + 6*z(o). Factor d(i). (i - 1)*(i + 2)*(4*i + 1) Solve -4*h**2 - 2*h**2 - 177*h**4 - 3*h + 183*h**4 + 3*h**5 = 0 for h. -1, 0, 1 Let r(j) be the first derivative of j**9/9072 - j**7/1260 + j**5/360 + 2*j**3/3 + 1. Let m(q) be the third derivative of r(q). Suppose m(t) = 0. Calculate t. -1, 0, 1 Let 8 - 14/3*w**2 - 8/3*w - 2/3*w**3 = 0. Calculate w. -6, -2, 1 Let o be (2/4)/((-1)/(-28)). Let s = -10 + o. Factor 3*z**3 - z**4 - s*z**3 - 2*z**3 - 2*z**2. -z**2*(z + 1)*(z + 2) Let f(a) be the first derivative of -a**6/50 + 3*a**5/100 + a**4/20 - a**3/10 - 9*a - 1. Let h(y) be the first derivative of f(y). Solve h(x) = 0 for x. -1, 0, 1 Let f(m) = -7*m**4 + 9*m**3 + 9*m - 9. Let k(g) = -3*g**4 + 4*g**3 + 4*g - 4. Let d(t) = t**2 + 9. Let r be d(0). Let o(u) = r*k(u) - 4*f(u). Factor o(j). j**4 Let i = 1 - -5. Let h be (i/(-10))/(1/(-5)). Factor -2/7*m**2 + 10/7*m**h - 8/7*m**4 + 0 + 0*m. -2*m**2*(m - 1)*(4*m - 1)/7 Let g(l) be the first derivative of -l**7/210 - l**6/75 - l**5/100 - 3*l + 2. Let i(j) be the first derivative of g(j). Factor i(k). -k**3*(k + 1)**2/5 Let m be 1/((-3)/(-6))*-1. Let a = 0 - m. What is r in -6*r**2 + 0*r**4 - 2*r**5 + 2*r + a*r**2 + 4*r**4 = 0? -1, 0, 1 Let v(n) be the third derivative of n**6/420 - n**5/42 + 2*n**4/21 - 4*n**3/21 - 41*n**2. Factor v(k). 2*(k - 2)**2*(k - 1)/7 Let h(s) be the second derivative of -5*s**4/12 + 5*s**3/3 + 15*s**2/2 - s. Determine o so that h(o) = 0. -1, 3 Let f = -149 - -153. Let p(i) be the second derivative of i + 0*i**5 + 0*i**3 + 0 + 1/15*i**6 - 1/6*i**f + 0*i**2. Factor p(u). 2*u**2*(u - 1)*(u + 1) Determine d, given that -4/3*d + 2/3*d**3 + 0 - 2/3*d**2 = 0. -1, 0, 2 Let j(n) be the first derivative of n**6/360 - n**5/60 - n**3 + 5. Let g(i) be the third derivative of j(i). Factor g(z). z*(z - 2) Let d(w) be the third derivative of 4*w**7/315 + 2*w**6/45 + w**5/18 + w**4/36 - 3*w**2. Factor d(u). 2*u*(u + 1)*(2*u + 1)**2/3 Let t be 15/3 - (-2 + 4). Suppose 3*r - 5*f - 3 - 3 = 0, -t*r = 5*f - 6. Factor 0*k + 2/5*k**r + 0. 2*k**2/5 Let x be (1 - 3)/(1/53). Let u = x - -956/9. Find p such that u*p - 2/9*p**4 - 2/9*p**3 + 2/9*p**2 + 0 = 0. -1, 0, 1 Suppose -5 + 14 = -2*z + 3*n, -5*n + 15 = 0. Suppose 2/5*v + z - 2/5*v**2 = 0. What is v? 0, 1 Let d = 32 + -32. Suppose -c + 0*c = d. Factor c*s**2 + 3/4*s + 1/2 - 1/4*s**3. -(s - 2)*(s + 1)**2/4 Suppose -20*j + 25*j = 85. Let m be 1*2 - 0/2. Factor o**3 + o**m - j + 17. o**2*(o + 1) Let s be (-21)/15*15/(-4). Let t = s + -5. Factor t*w**2 + 0*w + 0 - 1/4*w**3. -w**2*(w - 1)/4 Let h(b) be the second derivative of b**6/30 + b**5/10 + b**4/12 + 4*b. Suppose h(f) = 0. Calculate f. -1, 0 Let a(x) be the second derivative of -x**8/30240 - x**7/1890 - x**6/270 - 2*x**5/135 + x**4/3 - 3*x. Let u(y) be the third derivative of a(y). Factor u(r). -2*(r + 2)**3/9 Suppose -5*c = -5*n + n + 1357, 2*c = 3*n - 1023. Factor 286*f**2 - 74*f + n*f**5 - 294*f**4 + 6 - 259*f**3 + 2 - 10*f. (f - 1)*(f + 1)*(7*f - 2)**3 Let g(y) be the first derivative of -y**4/4 + y**2/2 - 5. Suppose g(f) = 0. What is f? -1, 0, 1 Let d be (3/4)/(5/20). Solve 22*x**2 + 6*x**4 - 2*x - 4 - 16*x**3 - 3*x**3 - d*x**3 = 0. -1/3, 1, 2 Let k(m) be the third derivative of -m**6/40 + 3*m**5/20 + m**4/8 - 3*m**3/2 + 15*m**2. Let k(i) = 0. What is i? -1, 1, 3 Let x = 44/95 + -5/19. Let p(u) be the second derivative of 0 - 1/15*u**6 - x*u**5 + u + u**2 + 0*u**4 + 2/3*u**3. Factor p(m). -2*(m - 1)*(m + 1)**3 Let u(n) = n**3 + 14*n**2 - 14*n + 18. Let f be u(-15). Determine l so that 6*l**2 - 7*l + l - 3*l**f + 3*l**2 = 0. 0, 1, 2 Let f be 6*(-378)/224*8/(-6). Factor 0 - f*k**4 - 6*k**5 - 9/2*k**3 + 9/2*k + 15/2*k**2. -3*k*(k + 1)**3*(4*k - 3)/2 Let g = -1505 + 10573/7. Let w = g - 106/35. Factor -8/5*v - 8/5*v**3 - 2/5*v**4 - 2/5 - w*v**2. -2*(v + 1)**4/5 Find z, given that z + 8*z**2 - 2*z**3 - 5*z - 1 + 5 - 6*z = 0. 1, 2 Suppose -12/7*u - 4/7*u**2 - 8/7 = 0. What is u? -2, -1 Let b(x) be the third derivative of -x**7/1050 + x**6/100 - 3*x**5/100 - 38*x**2. Factor b(n). -n**2*(n - 3)**2/5 Let k(f) be the second derivative of 0 + 1/10*f**5 + 0*f**2 + 0*f**3 + 1/6*f**4 - 5*f. Find y such that k(y) = 0. -1, 0 Let d be -5 - -10*(-1)/(-2). Factor d*c - 1/3*c**3 + c**2 - 4/3. -(c - 2)**2*(c + 1)/3 Let u be 0*((-25)/(-10))/5. Let 2/5*j**2 + 0*j + u = 0. Calculate j. 0 Let b = 1898/3297 - 2/471. Let d be -2*(-5 - 96/(-21)). Let d*f**2 - 8/7*f - 8/7 - 2/7*f**4 + b*f**3 = 0. What is f? -1, 2 Suppose -3*j + 3 = -2*s - 3, -j = -3*s + 5. Let n(i) = -i**2 + 5*i - 4. Let q be n(s). What is h in 2*h**5 + h - h - q*h**4 = 0? 0, 1 Find n, given that -1/3*n + 0 - 2/3*n**4 + 0*n**3 + 1/3*n**5 + 2/3*n**2 = 0. -1, 0, 1 Let r be (-3)/9*27/(-3). Factor 6*w**2 - 6 - 24*w**3 + 3*w**r + 6. -3*w**2*(7*w - 2) Let x(z) be the second derivative of z**6/20 + z**5/20 - 3*z. Suppose x(w) = 0. What is w? -2/3, 0 Find h, given that 214*h**4 + 7*h**4 + 9*h + 220*h**4 - 48*h**2 - 21*h + 105*h**3 = 0. -2/7, 0, 1/3 Let d = 106 + -106. Find m, given that 2/9*m**2 + 2/9*m**3 + d*m + 0 = 0. -1, 0 Let o(d) be the third derivative of -8*d**7/315 - 7*d**6/90 - 2*d**5/45 + d**4/18 + 11*d**2. Factor o(x). -4*x*(x + 1)**2*(4*x - 1)/3 Determine b so that 0 - 22/13*b**3 + 4/13*b + 18/13*b**2 = 0. -2/11, 0, 1 Factor -16*a**2 - 120*a - 19 - 701 + 11*a**2. -5*(a + 12)**2 Let d be 21/21*(-10)/(-4). Factor -d*r**3 - 1/2*r**4 + 2*r + 4 - 3*r**2. -(r - 1)*(r + 2)**3/2 Let d = -2269/3 + 767. Determine r so that 16/3*r**4 + 26/3*r + 16/3*r**2 + 4/3 + d*r**5 - 94/3*r**3 = 0. -2, -1/4, 1 Let x(j) be the third derivative of -1/18*j**4 + 0*j**3 + 0 + 1/90*j**6 - 1/90*j**5 + 1/315*j**7 + 0*j + 3*j**2. Factor x(h). 2*h*(h - 1)*(h + 1)*(h + 2)/3 Factor 0*z + 2/3*z**4 + 1/3*z**3 - 1/3*z**2 + 0. z**2*(z + 1)*(2*z - 1)/3 Let h be ((-8)/5 + (-3 - -4))/(-1). Factor h*t + 0 + 3/5*t**2. 3*t*(t + 1)/5 Let s(o) = -o**2 + o + 1. Let i(a) = -3*a**2 + 5*a. Let d(l) = -l + 1. Let r(q) = 3*d(q) + i(q). Let y(c) = -r(c) + 2*s(c). Factor y(u). (u - 1)*(u + 1) Factor -1/7*r**3 + 0*r + 3/7*r**2 + 0. -r**2*(r - 3)/7 Let i(f) be the first derivative of -f**8/5880 + f**6/315 + 2*f**3 - 2. Let o(w) be the third derivative of i(w). Determine d so that o(d) = 0. -2, 0, 2 Let m(u) be the third derivative of u**6/240 + u**5/20 + 11*u**4/48 + u**3/2 + u**2 - 16. Find y such that m(y) = 0. -3, -2, -1 Let y(u) = 3*u**2 - 7*u - 4. Let w(v) = -2 + 2*v**2 + 7 - 3*v - 7. Let k(p) = 11*w(p) - 6*y(p). Factor k(r). (r + 2)*(4*r + 1) Let z(y) = -6*y**3 + 3*y**2 - 3*y - 3. Let p(f) = 5*f**3 - 3*f**2 + 2*f + 2. Let i(l) = 3*p(l) + 2*z(l). Solve i(k) = 0 for k. 0, 1 Let t(l) = 5*l**4 - 15*l**3 + 15*l**2 - 5*l - 10. Let q(z) = -1. Let r(v) = -10*q(v) + t(v). Factor r(a). 5*a*(a - 1)**3 Let n = -7 - -16. Factor 10*h**4 + 14*h**2 + 9 + 18*h**3 + 2*h**5 + 4*h - n. 2*h*(h + 1)**3*(h + 2) Factor -5*j + 5*j**5 + 4*j**4 + 6*j**4 - 9*j**2 - j**2. 5*j*(j - 1)*(j + 1)**3 Let b(x) be the first derivative of -2*x**5/25 + x**4/10 + 2*x**3/15 - x**2/5 - 11. Factor b(t). -2*t*(t - 1)**2*(t + 1)/5 Let d(h) be the first derivative of 6*h + 1 - 3*h**2 + 1/2*h**3. Suppose d(c) = 0. What is c? 2 Factor 0*t**2 - 2/13*t**3 + 6/13*t - 4/13. -2*(t - 1)**2*(t + 2)/13 Let b = -14 + 24. Suppose 4*x + 4*k = 4, -2*x + 6*x = -5*k + 2. Factor -10*v + 6*v**2 + b*v - 2 + 4*v**x. 2*(v + 1)**2*(2*v - 1) Let t(v) be the second derivative of v**7/2520 + v**6/1080 - v**5/180 - v**3/2 - v. Let r(m) be the second derivative of t(m). Solve r(z) = 0 for z. -2, 0, 1 Let x(a) be the first derivative of -2*a**3/9 + 4*a**2/3 - 8*a/3 + 2. Factor x(j). -2*(j - 2)**2/3 Suppose -n - 6 = 2*n - 3*o, 2*n = -o + 8. Let l be (-2)/(1/n*-5). Suppose 21/5*p**5 - 8/5*p + 7/5*p**3 - 43/5*p**4 - l + 27/5*p**2 = 0. Calculate p. -2/3, -2/7, 1 Let l(r) be the third derivative of 3/5*r**3 + 0*r + 1/10*r**4 + 1/150*r**5 + 0 - 3*r**2. Factor l(d). 2*(d + 3)**2/5 Let c(x) = 6*x**4 - 15*x**3
{ "pile_set_name": "DM Mathematics" }
e? (a) x (b) i (c) -2 b Suppose 11 + 4 = 3*g. Suppose u = 4*h - 1 + 23, 0 = -2*u + g*h + 29. Which is the second smallest value? (a) 0 (b) -4 (c) u a Let z = -37669/8 - -4688. Let w = z - -21. What is the third biggest value in w, 0.3, 1? 0.3 Let y = 58 + -55. What is the smallest value in 2, y, 18? 2 Let m = -4 - -3. Which is the third smallest value? (a) -3 (b) m (c) 0.1 c Let t = 2.8 - 0.6. Let u = -0.8 - t. Which is the second smallest value? (a) u (b) 2/5 (c) 0.2 c Let k(l) = -l + 8. Let d be k(6). Let w = 5 - d. Let h(q) = -q - 6. Let x be h(-7). What is the biggest value in w, x, -2? w Suppose -3*s - 9 = -6*s. Let v be (-2)/(-3)*10/((-1260)/27). Which is the biggest value? (a) v (b) 0.1 (c) s c Let l = 5 - -1. Let h = l - 11. Let f = -0.3 + -3.7. Which is the second smallest value? (a) h (b) f (c) -2/3 b Let p = 139 + -693/5. What is the biggest value in -1/7, -1, -0.3, p? p Let g = -0.11 - 1.89. What is the second biggest value in g, 0.5, -0.9? -0.9 Let a = -11/5 - -89/45. Let x = -44 - -43.9. What is the third biggest value in a, -1, x? -1 Let r = 5 + -7. Let g = -15.418 + 0.018. Let f = g + 15. Which is the biggest value? (a) 0.4 (b) r (c) f a Let j = 0.2 + 0.8. Let k = j + -2. Let b = 0.5 + k. What is the smallest value in b, 1/8, -5? -5 Let g = 0.183 - 0.483. Which is the second biggest value? (a) 5 (b) g (c) 1.1 (d) -1/2 c Let m = -20 + 19.89. Let w = m - 3.89. What is the third biggest value in w, -0.4, 2? w Let m(j) = -j**2 - 11*j - 19. Let p be m(-8). Which is the third biggest value? (a) 4 (b) -0.3 (c) -3/2 (d) p b Let s = 11.5 - 12. Let t = -0.1 + 0.5. What is the second biggest value in -5, t, s? s Let z = -2.3 - -0.5. Let v = -1.2 + z. Which is the second smallest value? (a) 3 (b) v (c) -0.3 c Let z = -13 - -8. Let x = 0.1 + 0. Let g = x - 2.1. Which is the second smallest value? (a) z (b) -4 (c) g b Suppose -4*r = -0*r. Which is the smallest value? (a) r (b) 0.3 (c) -2 c Let b = 16 - 14. What is the third biggest value in b, -18, -4? -18 Let v = -2 - -2.3. Which is the third biggest value? (a) v (b) -5 (c) -1/3 b Let u = 4.95 - -0.05. Let p = 0.5 + 4.5. Let w = 7 - p. What is the second smallest value in u, w, -0.2? w Let p = -17 - -16. What is the biggest value in p, 0.5, -3? 0.5 Let h = -4 - -3.5. Let g be 2/4*3/(-6). What is the second smallest value in 0.5, g, h? g Let i = -8 - -2. Let m = 3 + i. Which is the third smallest value? (a) -2/3 (b) m (c) 1/5 c Let g(d) = d**2 + 3*d - 2. Let l be g(-5). Let n be 10/(-4) + (l - 5). Which is the second smallest value? (a) -0.4 (b) n (c) -1/3 c Let y = -4 - -9. Which is the smallest value? (a) y (b) 7 (c) -0.1 c Let k = 170 + -171. What is the biggest value in -1/5, -0.07, k? -0.07 Let s be 2 - ((-390)/35)/(-6). Let j = -5 - -3.2. Let h = 2 + j. Which is the second smallest value? (a) s (b) h (c) 4 b Suppose -3*r - 2*m = -14 + 5, 3*m - 4 = 5*r. Which is the smallest value? (a) 2 (b) r (c) -7 c Let k = -5.2 - -1.2. Let n be (-2)/8*120/70. Let s = -0.1 + 0.4. What is the second biggest value in n, k, s? n Let s = -1.5 + -0.5. Let r be 4 - (-42)/(-9) - -1. Which is the second smallest value? (a) r (b) s (c) 0.3 c Let h = -390 - -2345/6. What is the third smallest value in h, -2/3, 0, 0.02? 0.02 Let g = 0.26 - -0.04. Which is the second biggest value? (a) 0 (b) -3/7 (c) g a Let x = -21.2 - -20. Let h = 1.2 + x. Which is the third smallest value? (a) 2/9 (b) -2 (c) h a Let k = 6.3 - 6. Let n = 0.01 + -0.31. Which is the third smallest value? (a) k (b) n (c) 0.03 a Let p = -5.8 + 10.8. Which is the smallest value? (a) -0.3 (b) 2/3 (c) p a Let w = -169 - -166. Which is the second biggest value? (a) -0.1 (b) 0.5 (c) w a Let h = 207 + -212.12. Let k = 0.12 + h. What is the second biggest value in -1/2, -5/3, k? -5/3 Let k = -3.86 + 0.06. Let j = k + 0.8. What is the third smallest value in j, 0, -2/9? 0 Let y = -10.65 - -11. Let c = y + -0.4. Let b = c + -1.95. What is the smallest value in -4, b, 4? -4 Let u = -9 + 0. Let g = u + 7. What is the second smallest value in -4, g, 0? g Let w = 1/25 + -34/225. Let i be 4/(-63) - (-4 - (-26)/7). Which is the second biggest value? (a) i (b) 2 (c) w a Let z = 25 - 24.5. What is the smallest value in -4, z, 9? -4 Let l = 0.2 - 0. Let q = -6 + 8. Which is the second biggest value? (a) -5 (b) l (c) q b Let f = 1 + -1.5. Let i be (-2)/12*(12 + -15). Which is the third biggest value? (a) -0.1 (b) f (c) i b Let f = 0 + -0.4. Let b(l) = l**3 + 5*l**2 + 4*l - 6. Let j be b(-4). Let r be (0 - (j + 3))/7. What is the second biggest value in r, f, 1/3? 1/3 Suppose -2*p = 3*u + 19, -2*p + 0 = 4*u + 24. What is the third biggest value in p, 2/9, 5? p Let s = -4/9 - -46/63. Let c = -10 - -6. Let i = 77 - 77.2. What is the third smallest value in s, i, c? s Suppose 2 = -j - 4*u, u + u = 0. What is the second biggest value in -0.2, j, -0.5? -0.5 Let a be 616/1265 + 2/(-5). What is the second smallest value in a, 3/5, 1/16? a Let f = 0.9 - 0.6. Let z be ((-3)/(-14))/((-72)/192). Suppose -2*c = -5*c - 3. What is the second smallest value in z, c, f? z Suppose 2*q + 3 = -1. Let a = 15 - 19. What is the biggest value in -5, q, a? q Let j be (2/(-8))/((-150)/(-480)). What is the biggest value in 2.6, j, 2/5, 0? 2.6 Let o = -0.1 - -0.1. Let k = 0.2 + o. Let r = k + 3.8. What is the smallest value in -4, r, 1/2? -4 Let t = 2 + 3. Let y = -0.65 + -0.35. What is the second smallest value in t, 4/3, y? 4/3 Let d = -0.02 - 2.98. Let m be (-140)/(-3 - 0/2). Let q = m + -47. Which is the biggest value? (a) q (b) d (c) 1/9 c Let l = 0.6 + 0. Let m = -94 - -94.2. Let h = l - m. What is the second biggest value in -1, 5, h? h Let j = 6.8 + -0.8. Let d = j - 1. What is the third biggest value in d, 0.4, -0.4? -0.4 Let q = -2 + -1. Let n be (1/q)/(4/6). Let t = 2.9 + -3. Which is the second biggest value? (a) t (b) n (c) 3/5 a Suppose -5*l = 4*t + 19, -3*t + 4*l = l - 6. What is the smallest value in t, 0.2, -4? -4 Let s = 0.03 - -4.97. What is the second smallest value in 1/3, -4, s? 1/3 Suppose -29 = 2*g + 5*l, 1 + 1 = -2*l. Let j be (-4)/g + 5/(-3). What is the second smallest value in j, 1, -4? j Let f = -0.3 - -0.2. Let o be (-40)/(-5) + (-264)/36. Which is the smallest value? (a) o (b) f (c) -1 c Let p = 36.7 + -37. Let x = -10 - -7. Let o = 2.5 + x. Which is the second smallest value? (a) o (b) p (c) -0.1 b Let v = 1 + 0. Which is the biggest value? (a) v (b) 3/4 (c) 0.5 a Suppose 8 = -2*y + 12. Which is the smallest value? (a) y (b) -1.1 (c) -1 b Let h be (8/(-6))/((-7)/42). What is the biggest value in 2/7, 0, h? h Let k = 13/10 + -4/5. Let o be (1 - 7)*3/(-9). Let i = 0.9 + -1. Which is the second smallest value? (a) i (b) k (c) o b Let z = 51/65 + -5/13. What is the biggest value in -5/2, -0.4, z? z Let j = 5.1 + -5.1. What is the third smallest value in j, -2, 0.1, 16? 0.1 Let o = 3 + -2.8. Suppose 4 = 2*n - 6. What is the biggest value in o, -0.1, n? n Let m = 6.5 - 0.5. Let q = 0.015 + 5.985. Let r = m - q. Which is the third smallest value? (a) r (b) 1 (c) 0.2 b Let d = 97 + -5. Let h be (2/d)/(4/16). What is the third biggest value in 2, -1, h? -1 Let h = -3.3 - -4.3. Which is the third biggest value? (a) 1/4 (b) -19 (c) h b Let w = -11.9 - -7. Let u = w - 0.1. Let v = 4.9 + u. Which is the second biggest value? (a) v (b) 1/5 (c) -3/4 a Let r = -0.71 - -0.21. Which is the third smallest value? (a) -1/30 (b) r (c) 0.3 c Let h = 14 + -19.4. Let p = -0.4 + h. Let z = p + 6. Which is the second smallest value? (a) -4/5 (b) z (c) 5 b Let p = -63/62 - 4521/310. Let j = -863/55 - p. Which is the third biggest value? (a) j (b) -2/21 (c) -0.3 c Let n be (4/6)/(13/(-3)). Let g = -18 - -4. Let u be 2/((-16)/g) - 1. Which is the second smallest value? (a) -1 (b) u (c) n c Let d = -19/4 + 103/20. Let k = 3 - 13. Let v = 9.7 + k. Which is the smallest value? (a) 2/11 (b) v (c) d b Let i = 0.4 + -0.9. Let m be 5/10*4/5. What is the smallest value in -0.1, i, m? i Let n = -384 - -653. Let g = -273.88 + n. Let k = -0.12 + g. Which is the second smallest value? (a) 3 (b) 0 (c) k b Let h = 94 - 89. Let r be (-15)/17 - (0 + -1). What is the second
{ "pile_set_name": "DM Mathematics" }
on multiple of i(k) and 3? 9 Let d(o) = 7*o**2 + 17*o - 57. What is the least common multiple of d(7) and 21? 2835 Let s = -137 - -158. What is the least common multiple of s and 162? 1134 Suppose -4*j = 4, -2*v + 6 = -j + 17. Find the common denominator of 49/8 and 108/152*(-10)/v. 152 Suppose -7*b = b + 88. Calculate the common denominator of 0 - ((-39)/(-8))/(-1) and (b/(-4))/((-33)/22). 24 Suppose 0*u = -2*f - 3*u + 48, 3*f = 2*u + 72. Let d = f + -5. Let s = -205 - -590/3. What is the common denominator of d and s? 3 Let k(m) = 8*m + 41. What is the lowest common multiple of 12 and k(2)? 228 Suppose -t - 2*v + 8 = 0, 0 = -t - 2*t + 2*v + 32. Calculate the lowest common multiple of (24/16)/(1/12) and t. 90 Calculate the common denominator of -1 + -5 + -3*(-9351)/4860 and -1/64. 2880 Find the common denominator of 2055/(-580)*(32/126)/8 and -81/16. 9744 Suppose 2*n = 4*c + 614, c + 3*n = -3*c - 609. Calculate the common denominator of 1 + (-8)/(-24)*c/(-14) and -49/2. 14 Let w be (-88)/(-9) + 12/54. Let l be (-395654)/(-101460) - w/5. Let h = -2/5073 - l. Find the common denominator of -1/2 and h. 10 Suppose 4*w - 5*h - 125 = -2*h, 5*w = 3*h + 160. What is the smallest common multiple of w and 10? 70 Let j(d) = 9*d**2 - d + 1. Let c(l) be the third derivative of -l**4/8 - 2*l**3/3 + 3*l**2. Calculate the least common multiple of c(-3) and j(-1). 55 Let q be 4 - (-2)/188*1761. Let a = -36/47 - q. What is the common denominator of -1/15 and a? 30 Let t = -1/161 + -9818/483. Find the common denominator of (-1)/6*(-2 - 44) and t. 3 What is the common denominator of -101/16 and -4 - (-2)/(-2808)*-5241? 1872 Calculate the common denominator of -2*(-1461)/4060 - (-8)/(-14) and 123/20. 580 Suppose 2*l - 16 + 0 = -4*y, -5*l + 18 = -y. Calculate the smallest common multiple of l and (-77)/(-11) - -10 - -1. 36 Let w = -72 + 91. Let j(c) = c**3 - 18*c**2 - 20*c + 28. Let d(s) = s**3 + s**2 - s + 1. What is the least common multiple of d(0) and j(w)? 9 Suppose -5*z = 18 + 12. Let a = 20 - z. Calculate the smallest common multiple of 2 and a. 26 Let n = 18459/50 - 371. Find the common denominator of n and 47/80. 400 Let k(a) = 24*a - 10. Let u be k(5). What is the common denominator of u/(-4) - (3 - (4 + 0)) and -59/10? 10 Let i be -2 - ((93 - -2) + 0). Find the common denominator of (-12)/(-27)*i/8 and 2/(-11) - (-3825)/(-440). 72 Let h = -20471/494 - 15/247. Let w = 62/9 - 451/45. What is the common denominator of h and w? 30 Let k = 1027 + -638. What is the smallest common multiple of k and 5? 1945 Let y be 28/4 - (2 - 0). Let d be (y*(2 - 3))/1. Find the common denominator of 2 + d + (-83)/(-14) and 103/22. 154 Let x be ((-900)/138)/((-28)/(-29)). Let s = x + 3/644. Calculate the common denominator of s and (-55)/(-6)*(-11)/(-5). 12 Let a = 785969519399 - 122642683805206011/156040. Let u be 0 - -1 - 39014/39010. Let v = a - u. What is the common denominator of v and -63/8? 8 Let g(c) = -2*c + 6. Let o be g(5). Suppose -4*z + 2*i - 30 = -5*z, 4*i - 20 = 0. Calculate the lowest common multiple of 9/4 - (-1)/o and z. 20 Suppose -2*w + 24 = -2*m, -3*w + 4*m + 22 = 8*m. Let k be (-4)/(-8)*-4 + 2. Let t(o) = o + 7. What is the lowest common multiple of t(k) and w? 70 Let q(x) = -x**3 + 15*x**2 - 15*x + 6. Let y be q(14). Find the common denominator of -53/27 and 1078/528 + (-14)/y + -1. 216 Let o(t) = 3*t**3 - 7*t**2 + t + 1. Let a(x) = -15*x**3 + 36*x**2 - 5*x - 4. Let r(l) = 2*a(l) + 11*o(l). Calculate the least common multiple of 27 and r(3). 378 Let i be (0 - (-6)/20)*584685/(-54). Let h = 3267 + i. Find the common denominator of h and 71/10. 20 Suppose 1517 - 420 = 4*z - 3*g, -2*g = 3*z - 844. Calculate the smallest common multiple of 22 and z. 3058 Let s(c) = -30*c - 200. Calculate the least common multiple of 24 and s(-10). 600 Suppose -z + 24 = -r, 2*r = 3*z - 2*z - 20. Suppose 0 = -4*x + 12 + z. What is the lowest common multiple of 56 and x? 280 Suppose 0*r = 5*r. Suppose -3*y + 10 + 5 = r. Calculate the smallest common multiple of y and 1. 5 Let a be (-1 + -145)/((-10)/(-22)). Let w = a + 187922/585. Let i = -2059/234 - w. What is the common denominator of 41/11 and i? 66 Let r = -2687637/80 - -33595. What is the common denominator of -121/40 and r? 80 Let a = -67 - -67. Suppose a = -3*n + 16 + 50. Calculate the smallest common multiple of n and 2. 22 Let o = -150/13 + 1948/117. Calculate the common denominator of o and 13/30. 90 Let n(z) = z**3 - 8*z**2 + 7*z + 4. Let s(t) = 2*t + 12. Let w be s(-5). Suppose 3*k - 7 = w*k. Calculate the lowest common multiple of 16 and n(k). 16 Suppose 2*l + 24 = -2*l. Find the common denominator of (-1)/(-3) + (3 - (-1480)/(-192)) and l/4 + (-3)/9. 24 Let k(h) = 101*h - 377. Let q = -25 - -49. What is the lowest common multiple of q and k(4)? 216 Let y = -4777/11932 - -36/157. What is the common denominator of -13/12 and y? 228 Let k = 454 + -446. What is the least common multiple of k and 44? 88 Suppose 5*h + 5*s + 61 - 226 = 0, 15 = 5*s. Suppose 0*t - 9*t = -9. What is the lowest common multiple of h and t? 30 Let o(p) = -p**2 + 5. Let h = 9 + -7. Suppose -4*b = -h*b. Calculate the least common multiple of 2 and o(b). 10 Suppose 0 = -0*y + y - 2. Suppose -3*u = -3, y*u - 23 = -3*f + 33. Calculate the common denominator of -44/9 and (-47)/2*12/f. 9 Suppose -5*w - 50 = -70. Calculate the lowest common multiple of (644/42)/(w/6) and 1. 23 Let c = -2 + 5. Suppose c*p - 14 = 2*p. Suppose 3*w - 12 = -2*v, 3*w - 24 = -4*v - 2*w. Calculate the lowest common multiple of v and p. 42 Let o(q) be the third derivative of -q**4/12 - q**3/3 + 57*q**2. Let c be -4*(2 + 0) + 0. Calculate the lowest common multiple of 18 and o(c). 126 Let c(k) = -5*k**3 + 4*k**2 - 4*k + 2. Let a be c(2). What is the common denominator of 41/123 - (0 - 67/a) and -99/16? 80 Let j be (3 + -1)*(-45)/6. Calculate the common denominator of (10 + -20)/((-84)/(-91)) and j/((-22)/(-6) + 0). 66 Let n(k) = -k**3 + 15*k**2 - 15*k + 17. Let q be n(14). What is the common denominator of 63/16 and ((-273)/(-60) - 1) + q/(-12)? 80 Suppose -3*c + l + 8 = 0, 4*l = -2*c + 1 - 5. Calculate the common denominator of c + ((-532)/40 - 0/2) and -27/11. 110 Suppose -9 = 5*f - 29. Let u(r) = -3*r**2 + 15*r - 8. What is the least common multiple of u(3) and f? 20 Suppose 3*c + 64 = 37, 3*f - 3*c - 15 = -6*c. Suppose 2 = 3*p - 7. Suppose p*u = 5*u - 56. What is the least common multiple of u and f? 28 Suppose 4*l = -4, -5*l + 2*l - 323 = -4*p. Calculate the smallest common multiple of p and 80. 80 Let n = 3/2479 + -195877/29748. What is the common denominator of n and -95/428? 1284 Let l(x) = x + 6. Let h be l(-7). What is the common denominator of (-11230)/(-520) - ((-205)/65 + 3) and ((-149)/(-6) - 2)/h? 12 Let a be (4/32)/(3 + 50/12). Let y = a - -8339/172. Let s = -143/3 - -689/12. Find the common denominator of y and s. 4 Suppose -13*z + 9*z = -117056. Let r = 2106953/72 - z. What is the common denominator of r and -85/12? 72 Suppose -4*y = g - 6 - 12, 7 = 3*y + 4*g. Suppose 7 = -2*d + 33. Let u = d + y. What is the smallest common multiple of 12 and u? 36 Suppose 5*d + 3*u - u = -60, 0 = 5*u - 25. Calculate the smallest common multiple of 84/126*1*(1 - d) and 16. 80 Let d = 3/568 + -4513/852. Find the common denominator of (-8)/2 - ((-115)/414)/(1/(-16)) and d. 72 Let t = 1/691 + -11797/34550. What is the common denominator of t and -28/5? 50 Suppose -2*s - 3*c + 54 = 0, 0*s - s + 32 = -c. What is the least common multiple of 10 and s? 30 Suppose 3*v = -6 - 3. Let w(z) = 2*z**2 + 3*z - 5. Let x = 19 + 3. What is the least common multiple of x and w(v)? 44 Let f = -16 - -22. Suppose 2*c + 2 = 20. Suppose -f*a = -3*a - c. What is the least common multiple of 3 and a? 3 Let k = 43789/126 - 2444/7. Let r be 2*(-1)/6 - 1532/30. Let j = r - -1861/40. Calculate the common denominator of k and j. 72 Let g be -84*(5/(-2) - -2). Let a = -7 + g. What is the least common multiple of 8 and (28/a)/((-1)/(-15))? 24 What is the lowest common multiple of 44 and -8*((-2)/8)/(1/6)? 132 Suppose 3*u + 2*m - 3*m = 37, 3*u - 41 = 5*m. Calculate the smallest common multiple of u and 286. 1716 What is the common denominator of (-6)/10*(-6 - 1626/(-108)) and 91/18? 90 Let y(j) = -2*j*
{ "pile_set_name": "DM Mathematics" }
-1 Let n be (-18)/(-33)*((-24)/4)/18. Put 0.5, 2/9, n in descending order. 0.5, 2/9, n Let f(j) be the second derivative of j**5/20 - j**4/3 - 5*j**3/6 + 5*j**2/2 + 11*j. Let y be f(5). Sort y, 0, -5 in descending order. y, 0, -5 Let d = 270 + -271. Put d, 5, -22, -3 in descending order. 5, d, -3, -22 Suppose -5*h = 5*l + 50, h + 20 = -4*l + l. Suppose 24 = 3*j - 5*d, 9 = 5*j - j + d. Let w be ((-4)/(-2))/1 + j. Sort 1, l, w in descending order. w, 1, l Let c = -13/6 - -17/12. Sort -17, c, -1/4 in ascending order. -17, c, -1/4 Let i = -9.2 + 8. Let t = 1.1 + i. Let b = 0.3 + t. Sort -1, b, -2/3 in descending order. b, -2/3, -1 Let h = -349 - -353. Suppose -10 = 4*a - 6. Sort h, 6, -2, a in descending order. 6, h, a, -2 Let s = -22 + 21.5. Let f = 0.01 + -0.21. Let b = f - 0. Sort 0.5, b, s in descending order. 0.5, b, s Let z(k) = -7*k**3 + k**2 - 2*k - 2. Let h be z(-1). Let w = -8 - h. Suppose f - 25 = 6*f. Put f, w, 3 in increasing order. w, f, 3 Let o = -7.5 + -1.5. Let b = o + 5. Let s = -0.46 + -0.54. Put b, 2, s in increasing order. b, s, 2 Suppose 0 = 3*u - 5 + 2. Suppose -i = 4*i - 10. Suppose 0 = i*q + 2*l, -3*l + 5*l = q + 3. Put q, u, -3 in increasing order. -3, q, u Let x be 4*1*(-3 - -2). Suppose -9*i + 8 = 2*j, -3*i = 6*j - j - 20. Sort x, i, 2 in decreasing order. 2, i, x Let s be (-12)/1*2/(-4). Let t be (-16)/(-96) + (-1)/s. Put -2/7, t, -3 in decreasing order. t, -2/7, -3 Suppose -2 = u - 5*f, 4*f - 3 = 3*u + 3. Sort u, -12, 1 in increasing order. -12, u, 1 Let c = -534/7 + 2684/35. Put 4/3, 150, c in descending order. 150, 4/3, c Let b(q) = -q**2 - 63*q - 340. Let j be b(-6). Sort 7, -1, j, -10 in decreasing order. 7, j, -1, -10 Suppose 15*u = 125 - 50. Sort -2, -4, -7, u. -7, -4, -2, u Let y be (-2)/(-8) - 2526/1080. Let l = 28/15 + y. Let h = -141/4 - -35. Put l, 0.1, h in descending order. 0.1, l, h Let t = -614 + 609. Put 13, t, 0, 3 in increasing order. t, 0, 3, 13 Let t = 48 + -50. Put 0.88, -1, t, 0.3 in decreasing order. 0.88, 0.3, -1, t Suppose 9*n = 2*n - 14. Sort 2, n, 5 in decreasing order. 5, 2, n Let a(u) = u**3 - 5*u**2 + 3*u + 4. Let j be a(4). Sort -2, j, 5, -1 in ascending order. -2, -1, j, 5 Let c be (-2 - -6)/(-3 - -5) + 80. Let o = c + -83. Sort 16, 5, o in decreasing order. 16, 5, o Let v(p) = 2*p - 7. Let c be v(7). Let u(k) = -2*k - k**2 - 6 - 2*k - 7*k - c. Let w be u(-10). Sort 1, 0, w in ascending order. w, 0, 1 Suppose 12 + 12 = -12*w. Sort -2/11, -3, w, 0.04 in decreasing order. 0.04, -2/11, w, -3 Let q = 1109 + -73165/66. Let p = -3/11 + q. Sort p, 13, 0.4 in descending order. 13, 0.4, p Let o = 0.4 - 0.3. Let n = 0.4492 - 0.1592. Sort n, o, 2 in decreasing order. 2, n, o Let f = 3.174 - 3.2. Let m = f + 3.026. Put 1, 3/7, m in decreasing order. m, 1, 3/7 Let o = -621 + 1046. Let q be o/(-75) - (-2)/(-6). Sort 0.5, 2/9, q in ascending order. q, 2/9, 0.5 Let s = 10.59 - 10.39. Let z = 6 + -5.6. Put z, 5, s, 3/2 in descending order. 5, 3/2, z, s Let d be (36 - 35)/(22/4*-1). Let m = 176/5 + -35. Sort d, -0.5, -0.3, m in ascending order. -0.5, -0.3, d, m Let i(o) = -o**3 + 7*o**2 - 4*o + 2. Let d be i(6). Let m(z) = z + 2. Let r be m(2). Suppose 3*f = -r - d. Put -5, 1, f in descending order. 1, -5, f Let v be (-3 - 95/(-15))*6. Let q(k) = -k + 60. Let p be q(v). Put -4, 0, p in increasing order. -4, 0, p Let i = 10.1 + -7.1. Sort 29/5, i, -0.2. -0.2, i, 29/5 Suppose 0 = -2*p - 5 + 15. Suppose d + 4*m - 2 = -12, -5*d = -p*m - 25. Let t = -3935 - -3933. Sort t, d, -3 in decreasing order. d, t, -3 Suppose 13*d - 126 = 10*d. Let c = 37 - d. Put -1, 3, c, 4 in ascending order. c, -1, 3, 4 Let a be (-20 - -22)*(-6)/(-4). Sort a, 13, 0, 2 in ascending order. 0, 2, a, 13 Suppose 4*t + 2*a + 26 = 0, t - a + 13 = 2. Let f = -619 - -617. Put 5/6, f, -0.2, t in decreasing order. 5/6, -0.2, f, t Let m = -230 + 208. Sort m, 5, -4 in descending order. 5, -4, m Let r be (2/(-16))/((-49)/196). Sort r, -1.1, -2 in ascending order. -2, -1.1, r Let y = -270 + 261. Sort -4, y, 1, 3. y, -4, 1, 3 Let a be 12/3*(-2)/(-4). Suppose -132 = 69*f - 80*f. Sort f, a, -3. -3, a, f Let g be (4/(-8))/(2/4). Let c(a) = a**3 + 4*a**2 + 4*a + 2. Let v be c(-2). Let d = 6 + -3. Sort g, d, v. g, v, d Let j = -5.57 + 0.57. Sort j, 2/7, -4, -0.03 in decreasing order. 2/7, -0.03, -4, j Let b = 10.52 - 10.02. Sort 635, b, -0.1 in ascending order. -0.1, b, 635 Suppose -10 = 3*i + 2. Let v(f) = -9*f - 194. Let h be v(-21). Sort i, h, 28, 4 in decreasing order. 28, 4, i, h Let h(z) = z**3 - 4*z**2 - 3*z - 18. Let g be h(5). Let o = g - -6. Sort -5, o, -6. -6, -5, o Let c(x) = -x**3 - 11*x**2 - x - 9. Let k be c(-11). Let b = 7 + 1. Suppose 0 = -v + 2*y + 5, 2*y + b = 4*v. Put v, k, 4 in ascending order. v, k, 4 Let h = 0.7 - -0.3. Put 0.1, h, 4/5, -1/5 in decreasing order. h, 4/5, 0.1, -1/5 Let r = -60.53 + 61. Let a = r - 0.07. Put -1/24, a, -1/2, -2 in decreasing order. a, -1/24, -1/2, -2 Let q = 115 - 3. Let b = -112.1 + q. Put -1/18, 0, -0.5, b in ascending order. -0.5, b, -1/18, 0 Let i = 0.13 - 5.13. Let u = 3451/3 - 1150. Sort u, i, 2 in descending order. 2, u, i Suppose -5*t = 2*y + 29, 3*t - 2*y - 3 = -14. Let u = -1085 - -1086. Put t, 10, u, -2 in ascending order. t, -2, u, 10 Suppose 5*c = -0*q - q - 8, -1 = -2*c + q. Let r(i) = -i**2 - 9*i - 7. Let s(d) = -d**3 + 10*d**2 + 12*d - 20. Let n be s(11). Let g be r(n). Sort -2, g, c. g, -2, c Let f(g) = -g**3 - 2*g**2 + 2*g + 2. Let t be f(-3). Let z be (0 - 0)/(2 - -1). Let u(o) = o**3 - o**2 - 2*o + 3. Let k be u(2). Put z, k, t in ascending order. z, k, t Suppose 102*h = 113*h + 22. Sort h, -4, 1, 3 in increasing order. -4, h, 1, 3 Suppose -28 = -0*o - 5*o - l, 4*o = -l + 22. Put 4, 1, o, 2 in increasing order. 1, 2, 4, o Let z = 199 - 201. Let s = -6 - -2. Let y = s - -4.4. Put y, z, 3 in ascending order. z, y, 3 Let i(q) = -q**2 - 4*q + 8. Let u be i(-6). Let c be (4*(-2)/u)/1. Let n be ((-12)/32)/((-6)/(-4)). Sort n, -2, c in decreasing order. c, n, -2 Let h = -383 + 383.3. Put 866, h, 0.1 in descending order. 866, h, 0.1 Suppose -4*r = -7*r + 33. Let m = -9 + r. Suppose o + 0*o - m = 0. Sort -4, 5, o in increasing order. -4, o, 5 Suppose -t = 5*x + 57, 2*x + 0*t + t = -24. Let q be ((-10)/26)/(12/(-52)). Sort -1/5, x, q, -4 in descending order. q, -1/5, -4, x Let n be (-4 - -1)*(-7 + 4)/(-9). Let v be (-4)/6 + n + 24/(-72). Put 1, 5, 3, v in decreasing order. 5, 3, 1, v Let h be 46*(5*(-5)/(-10))/(16 - 11). Suppose 0 = 4*l - 0*t - 3*t + 19, 13 = -2*l + 5*t. Put 5, l, h in decreasing order. h, 5, l Let n = -627/4 + 156. Let p = 41 + -66. Let w = -22 - p. Sort w, -1/2, n in increasing order. n, -1/2, w Suppose 9*n - 22 = -2*n. Let s(i) = i**3 + i**2 - 4*i - 1. Let d be s(n). Sort -0.4, 0, d. -0.4, 0, d Suppose -i - 6 = -3*i. Let c = -4 + -1. Put i, 7, c in decreasing order. 7, i, c Let f = -111/799 + 1/47. Put 0, -2, f, -5.6 in decreasing order. 0, f, -2, -5.6 Let k = 13105/8 + -1643. Let x = k - -157/24. Sort -0.4, x, -3. -3, -0.4, x Let y = -0.3 + 0.2. Let h be (-1170)/(-180) - (5 + -1). Sort 3, h, 2, y in decreasing order. 3, h, 2, y Suppose 0 = p - 0*p - 4. Let s(i) = -15*i - 20. Let c(q) = 2*q + 1. Let d(y) = -36*c(y) - 4*s(y). Let k be d(4). Put p, -2, k in descending order. p, -2, k Let y = -28.9 - -27.7. Put -0.2, y, -0.4 in descending order. -0.2, -0.4, y Let w(k) = -k**2 + 10*k + 3. Let g be w(0). Put -5, g, -3 in increasing order. -5, -3, g Let l = -17180 - -17180. Let j = -115/3 - -37. Sort 4, j, l in increasing order. j, l, 4 Suppose -71 = 5*n - 2*c + 14, 15 = -3*c. Let w be 11/4 + n + 17. Let t = -42 - -125/3. Sort w, t, -0.1 in descending order. w, -0.1, t Let t = 193.6 - 194. Sort 4, t, -0.69 in decreasing order. 4, t, -0.69 Let t be (-3 + 5)/((-1)/(-2)). Let h = 237 + -237. Put h, -5, t in decreasing order. t, h, -5 Let q = -0.24 + -0.06. Let d = 5.54 + -3.65. Let g = d - -0.11. Put -1, g, q in ascending order. -1, q, g Let r = 0.802 - -44.198. Put -10, r, -2 in decreasing order. r, -2, -10 Let y(b) = b**3 + 6*b**2 - 11*b - 22. Let m be y(-7). Suppose -m = -10*s + 4. Suppose 5*l - 3*k = -0*l - 32, -2*l + k - 12 = 0. Sort l, -5, s. -5, l, s Let c(n) = 2*n**2 + 5*n + 4. Let i be c(-2). Suppose 420 = -i*g - 3*g. Let m be (-8)/(-52) - g/(-39). Put -9, m, 3 in in
{ "pile_set_name": "DM Mathematics" }
(b) -2/13 (c) 0.3 b Let f be 80/13 - 14/91. Suppose -f*q + 10 = -14. Suppose -11*n = -7*n - q. What is the nearest to 0.1 in n, -1/2, 0.1? 0.1 Let a = 48 - 38. Let x be 0 - 4/(-60) - 4/a. What is the nearest to 1/2 in x, 2/5, -2/9? 2/5 Let c = -22.18 + 22.58. What is the nearest to 2 in 0.19, c, 5? c Suppose 3*x - 5*x = 0. Suppose -9 = -11*t - 53. Which is the closest to 1/3? (a) t (b) 3 (c) x c Let m be 9/(-18)*2/(-1 - 1). Suppose 4*j + 0*j = 88. Suppose 3*i + 2*f = -17, -2*i + 0*i - 4*f - j = 0. What is the closest to -1/2 in m, i, 0? 0 Let d = 146 - 145.6. Which is the closest to 0? (a) d (b) -0.5 (c) 3/2 a Let n = 567 + -560. Which is the closest to -3? (a) n (b) -0.2 (c) -1/4 (d) 2/11 c Let o be -2 + 1 - (-72)/(-2). Let v = -39 - o. Let p be (1 + 5)/(3/v). Which is the nearest to 1? (a) 1/2 (b) 3 (c) p a Suppose 2*b - 5*b = -2*n + 6, b = -n + 13. What is the nearest to 1 in n, 2, -4/9? 2 Let i(x) be the second derivative of x**5/20 - x**4/4 - x**3/6 + 2*x**2 - 2*x. Let c be i(3). Let p = -6 + 6. What is the closest to p in c, -0.3, 3? -0.3 Let j = 5 - 5.1. Let r = 0.1 + j. Let g be 165/40 + 1*(-3 - 1). Which is the nearest to r? (a) g (b) 0 (c) 4 b Let w = 0.562 + -4.562. Which is the closest to w? (a) 3/4 (b) 0.1 (c) -3 c Let g = 0.36 + 13.64. Let i = -14.1 + g. Let o = 0.36 + -0.06. What is the closest to i in -2, o, 0.2? 0.2 Let d = -1.4 - -1.4. Let l = d - -0.1. Let f = 0.66 - 0.76. Which is the nearest to l? (a) -1 (b) 0.1 (c) f b Let p = 333 - 332.8. What is the nearest to 0.1 in -3/4, p, -0.5? p Let g = -4 - -10. Let t = 6.4 - g. Let i(v) = 7*v - 63. Let y be i(9). Which is the closest to y? (a) 4 (b) t (c) -2/3 b Let m = -485 - -1459/3. Suppose -11 = -3*i + 1. Suppose -3*t = -i*j - 29, -4*j = 5*t - t + 8. Which is the closest to -1? (a) 1 (b) j (c) m a Let l = 17 + -12. Suppose l*s = -436 - 129. Let y = s - -563/5. Which is the nearest to y? (a) 5 (b) 1 (c) -3 b Let n = -133 + 261/2. Suppose 17*z = 14*z + 3, a = -5*z. What is the closest to n in a, 0.4, -2/21? -2/21 Let x be 19/91 + (-4)/14. Let l be (-3990)/(-171) - (6 + 18). Which is the nearest to 1? (a) x (b) -2/9 (c) l a Let w = 2 + -4. Let z = 2.2 + w. Let p = 31/21 + -86/63. Which is the nearest to -1/4? (a) -0.3 (b) p (c) z a Let b = 358/1351 - -4/193. What is the nearest to 0 in -11, b, 3? b Let o = -101.3 + 101.1. Which is the nearest to o? (a) 7 (b) -0.4 (c) 0.05 b Let p = -792 - -791.9. What is the nearest to -2 in -2/5, -3, -4/5, p? -3 Let j be (-1)/4 - (4 - (2 - -2)). What is the nearest to -1/2 in j, -1, -0.3? -0.3 Let k = -0.1 + -0.1. Let t be ((-72)/768)/(2*(-1)/(-8)). Which is the nearest to k? (a) 0 (b) -0.1 (c) t b Let k be (2/(-5))/(4/5*-4). Let j = -12.5 - -18.5. Which is the closest to 1? (a) j (b) 4 (c) k c Let b = 14.5 - 2.5. Let f = b - 11. Let n = f - 1.1. What is the nearest to n in 0.2, -5, -0.3? -0.3 Let j = -24/13 - -337/260. Let k = j + 1/20. Let s = 10 - 15. What is the nearest to k in -4, s, 1/3? 1/3 Let v = 18 + -26. Let f = v - -7. Suppose 4*m + 11 = -d + 2*m, -2*m - 6 = -4*d. What is the closest to d in -0.1, 5, f? f Let y be (8/(-28))/(3/(-21)). Let q = y + -5/2. Suppose 0 = -2*x + g - 8, 0 = -5*x + g - 4*g - 20. Which is the closest to q? (a) -2/5 (b) 1/2 (c) x a Let o = -0.07 + 4.07. Suppose 2*z = -6*z + 17*z + 18. What is the closest to -1/2 in -1/3, o, z? -1/3 Let o = -518 - -520. Which is the closest to 2? (a) o (b) 0.1 (c) -0.18 a Let a = -1.2 + 1.1. Let b = -10 - -15. Let g = -4.9 + b. What is the nearest to a in -2/11, g, -7? -2/11 Let o be 1 + -2 + (-12)/(-15). What is the nearest to 4 in 2/3, 10, o? 2/3 Let p = 61.8 + -66.8. Which is the nearest to 6? (a) 2 (b) p (c) -1 a Let q = -2.09 - -6.09. Let y = 7 + -6. Which is the closest to 2? (a) q (b) y (c) -3 b Let t(z) = z**3 - 6*z**2 - 2. Let x be t(6). Let c be 2 + 26/30 - (5 - 2). What is the nearest to -1 in c, 5, x? c Let i be (-88)/11 + 1258/153. Let p = -19 + 18.91. Let r = p + -3.91. Which is the closest to i? (a) r (b) 1/3 (c) -5 b Let v = -468 - -463. Which is the closest to v? (a) 4 (b) -0.5 (c) -2 c Let v = 480 - 481. What is the nearest to v in 1, 30, 2? 1 Let v = -0.334 + 0.234. What is the closest to v in -2/13, 2, -6? -2/13 Let b = 1.8 + -2.98. Let z = 1 + b. Let k = z + 3.18. What is the nearest to -0.2 in -0.5, 1, k? -0.5 Let v = 1.7 + 1.9. Let x = v + 17.4. Let w = x - 17. What is the nearest to 0.1 in 0.2, -0.03, w? 0.2 Let u be ((-27)/(-135))/(2 - 3). Suppose 5*d - 6 = 4. Which is the nearest to 1? (a) d (b) u (c) 2/7 c Let j = -130.5 - -131. Let x = 1.042 - 0.042. Let p = 0.7 + 0.3. What is the nearest to x in p, 3, j? p Let x = 219 - 219.5. Which is the nearest to 1/4? (a) x (b) -16 (c) 3 a Let q be -3 + 2 + (-38)/(-34). Let y = -17 - -17. Let v = -168 + 167.8. Which is the closest to y? (a) 1 (b) q (c) v b Let m = 1.9771 + 0.0229. Which is the closest to -1? (a) 33 (b) 0.5 (c) m b Let m = -79 - -76.2. Let i = m + 2.7. Which is the closest to -2? (a) -4 (b) i (c) 3 b Let g = 566.4 - 566. What is the closest to -2/85 in 2, -0.4, g? -0.4 Let x be (55/45 + -1)*(10 - 11). Which is the closest to 1/5? (a) 0 (b) x (c) 2 a Let h = -0.3 + 0.2. Let j = 33.043 + -0.043. Let d = 33 - j. Which is the closest to h? (a) 1/5 (b) d (c) 0.3 b Let f = -7.2 - -4. Let c = f - -3. Let v = 3 - 6. What is the closest to -1 in -3/4, c, v? -3/4 Let s be -1*5/(-4)*(-4)/(-1). Suppose -17*l + s*l - 60 = 0. Which is the closest to 1? (a) -0.5 (b) -4 (c) l a Let z = -247/332 + -1/166. Let s = -0.1 + 0.2. What is the closest to s in -0.02, z, 3? -0.02 Let y = -2028 + 2027. Suppose -92 = -4*t - 4*w, 0 = t - 2*t + 5*w + 47. What is the nearest to 0 in y, 0.5, t? 0.5 Let j be (-6)/16*(-6 + (-160)/(-24)). Let g = 14 - 10. Let p = -0.37 - -0.07. Which is the nearest to j? (a) g (b) p (c) -2/3 b Let l = 6892 + -6891.8. Let d = 0.03 + -0.33. Which is the closest to 1? (a) 9 (b) l (c) d b Let m = 18 - 18. Let x = -21 + 20.7. What is the nearest to m in 2/15, -4/11, x? 2/15 Let r be (-40 - -46) + (1 - 6). Which is the closest to 0? (a) -0.4 (b) -9 (c) r (d) -3 a Let v = -0.3 - -0.6. Let h = 0.4 - v. Let z = -1/44 + 47/132. Which is the closest to h? (a) -4 (b) z (c) 0.3 c Let l = -6.16 + 0.16. Let z = -8 - l. Let m be (-2 + 3)/(5 + -2). What is the nearest to -2/3 in -1, m, z? -1 Let n = 0.01 + -0.01. Let p be (-3)/12 - 1258/(-104). Let f = p - 12. What is the closest to n in f, -0.3, -1? f Let w = 1.14 + -1.6. Let d = -0.66 - w. Which is the closest to 0? (a) d (b) -0.9 (c) -0.1 c Let v = 1/61 + -125/183. Let n be 0 + 3/(5 - 2). Let q = -307.4 + 307. What is the nearest to n in v, -4, q? q Let x be ((-4)/(-5))/((-10)/(-75)). Suppose -5*u = x - 1. Let l(j) = -2*j**3 + j**2. Let m be l(-1). Which is the closest to 1/2? (a) m (b) -3 (c) u c Let v = -30.4 - -30. Let i be 2/4 - 2/(-4). Which is the nearest to -3? (a) -1/10 (b) v (c) i b Suppose 6*l - 7 = -1. Let u = -4782041/10345282 + -2/97597. Let o = u - 2/53. What is the closest to o in l, -4, -1/8? -1/8 Let h be ((-2)/2 + -2)/1. Let s = -77.6 + 78. What is the closest to s in h, -5, -0.1? -0.1 Let j = -29 - -30. Which is the closest to j? (a) 1/3 (b) 0.1 (c) -5 a Let x = -416 + 415.9. Which is the closest to -1? (a) 2 (b) 3 (c) x c Let o = -0.074 - 13.926. Let j = -14.4 - o. Let h = 0.01 - -2.99. Which is the closest to 1? (a) 0 (b) j (c) h a Let u = -6 - -11. Suppose -6*i + i - 2*w = u, -4*w + 1 = -i. Let v be -1 + (i - (-33)/12). What is the closest to -2/3 in v, 5, -5? v Let f = 1.143 + -1.153. Which is the nearest to 2? (a) -1 (b) 1/5 (c) f (d) -2 b Let j be (2/(-4))/(3/4). Let p = 2.182 + -1.882. Which is the closest to 1? (a) -5 (b) p (c) j b Suppose -3 = s - 0. Suppose 14*u + 45 = -31*u. Which is the nearest to 2/5? (a) s (b) 7 (c) u c Let u be 2/8 + 135/(-12). Let z = 12 + u. Suppose -4*l + 0 + 4 = 0. What is the nearest to l in z, 4, -5? z Let n = -1332 + 1329. Which is the closest to -0.2? (a) 3.2 (b) -3/2 (c) n b Let o = 0.011 - 3.011. Let c be (-1)/(30/(-4)) + (-3608)/(-165). What is the closest to 1 in 2, c, o? 2 Let y = -13/5 - -3. Let d = -99 - -99. Let s = 0.4 - 0.2. Which is the nearest to y? (a)
{ "pile_set_name": "DM Mathematics" }
2*w - d*p + 78 = 0. What are the prime factors of w? 41 Suppose 2*u + 2*v - 2 = 0, -2*u - 2*v + 26 = -6*u. What are the prime factors of 6/(-5)*190/u? 3, 19 Suppose 0 = -q + 3 - 1. Suppose y + 5*k = -31, 5*y = -q*k - k - 45. List the prime factors of y*(3 + -12 - -1). 2, 3 Let w(b) = 3*b**2 - 5*b + 6. Suppose -5*v = 4*m - 65, -3*m - 5*v + 86 = 31. Let j be w(m). Suppose 48 = -4*n + j. List the prime factors of n. 2, 13 Let u be (-1)/(25/10) - (-2514)/10. Let w = u - 116. What are the prime factors of w? 3, 5 Let z(r) = 4*r**2 - 7*r - 6. Let i be z(9). Let b = 467 - i. List the prime factors of b. 2, 53 Let d(v) = -24*v**3 + v**2 - 1. Let l be d(-1). Let n(u) = -2*u**2 + 5*u + 2. Let m be n(4). Let o = m + l. List the prime factors of o. 2, 7 Suppose -8*v = 3*v. Suppose 34 = 4*b - 3*b. Suppose -4*i + 4*z + 104 = v, -3*i - 2*z = -92 + b. What are the prime factors of i? 2, 11 Let a(m) = -7*m**2 - 12*m + 1. Let t(c) = -7*c**2 - 11*c + 2. Let s(u) = 5*a(u) - 6*t(u). List the prime factors of s(3). 2, 37 Suppose 163 = -3*b - 2*z, 2*z + 169 = -4*b - 51. Let t = b + 85. What are the prime factors of t? 2, 7 Let m = -712 + 1171. What are the prime factors of m? 3, 17 Let x(g) = 21*g - 46. What are the prime factors of x(11)? 5, 37 Let f be (-1)/(-2)*6*1. Suppose -5*z + 8*z = 336. Suppose -z = -f*n + n. List the prime factors of n. 2, 7 Suppose -13*h = -6*h + 119. Let t(o) = -7*o - 48. List the prime factors of t(h). 71 Suppose 2*u - 3694 - 1416 = 0. Suppose u = 14*v - 1463. List the prime factors of v. 7, 41 Suppose 5*u - 1893 = -3*i, -4*i + 2538 = -0*i + 2*u. List the prime factors of i. 2, 3, 53 Let d(j) = 6*j**2 + 3*j - 4. Let m be d(-8). Let r = -239 + m. What are the prime factors of r? 3, 13 Let b(x) = 4*x - 2. Let y be b(1). Suppose 0 = 4*f - y*f - 10. Suppose f*r - 204 = 26. List the prime factors of r. 2, 23 Let p = 1712 - 1168. What are the prime factors of p? 2, 17 Let w(o) = o + 12. Let r be w(-10). Suppose m - r = 3*m. What are the prime factors of 5 + (-2)/m - 3? 2 Let t(k) = -11*k - 15. Let y be t(-6). Suppose -210 = -5*j + 4*m, -y + 286 = 5*j + m. What are the prime factors of j? 2, 23 Let d(f) = -21*f**3 + f. Let k be d(-2). Let y = -87 + k. What are the prime factors of y? 79 Let i(t) be the second derivative of 5*t + 1/3*t**3 + 0 + 0*t**2. List the prime factors of i(10). 2, 5 Suppose 5597 = 12*z - 1951. List the prime factors of z. 17, 37 Suppose 18 = -8*u - u. Let q(f) = -1 - f**2 + 0*f - 3*f + 3*f**3 - 4*f**3. What are the prime factors of q(u)? 3 Let z(w) = 17*w**2 + 64*w + 1. What are the prime factors of z(-10)? 1061 Let n = 15 - 5. Suppose -j + n = 4*j, -m = -3*j + 5. What are the prime factors of (m + 0)*-3 + 7? 2 Suppose 3*r - 3*z - 252 = 0, -r - 5*z = -7 - 47. What are the prime factors of r? 79 Suppose 183 - 53 = -10*z. What are the prime factors of (3 - z)*(-2 + 4)? 2 Let w(v) = 3*v**2 - 3*v. Let r be w(-3). Suppose -4*b + 6*b = -r. What are the prime factors of ((-18)/4 - -4)*b? 3 Let j be 199 + (0 - -1) + 0. Suppose -4*y = -j - 172. What are the prime factors of y? 3, 31 Suppose 5*f - 1275 - 1289 = 2*n, 0 = -2*f - 5*n + 1014. List the prime factors of f. 2 Suppose -12*x + 7589 = -3931. List the prime factors of x. 2, 3, 5 Suppose 3*s - 1843 = 1439. What are the prime factors of s? 2, 547 Let a(j) = j**3 + 29*j**2 - 48*j - 61. List the prime factors of a(-30). 479 Let m(v) = -53*v - 16. Let f be m(-3). Let r = -52 + f. What are the prime factors of r? 7, 13 Suppose 440*g - 442*g + 1268 = 0. What are the prime factors of g? 2, 317 What are the prime factors of (-28830)/124*(-2 + 1 + -9)? 3, 5, 31 Let l(k) = -12*k - 74. Let v = -58 + 49. List the prime factors of l(v). 2, 17 Suppose x - 3*o = -87, 2*x - 77 = 3*x - o. List the prime factors of 2*((-157)/(-18) - (-16)/x). 17 Let y(f) = 10*f - 8. Suppose -52 = 2*g - g. Let x(n) = -n + 1. Let o(c) = g*x(c) - 6*y(c). What are the prime factors of o(-3)? 2, 5 Let a = 604 + -365. Suppose 0 = -4*t - 2*z + 6, 15 = -2*z - 3*z. Suppose 6*u - u - a = d, -133 = -t*u - 2*d. What are the prime factors of u? 47 Let s = 1549 - 613. What are the prime factors of s? 2, 3, 13 What are the prime factors of 7/(-3)*(-51)/34*530? 5, 7, 53 Let j = 21 - 13. Let h = -12 + j. Let l = 3 - h. What are the prime factors of l? 7 Suppose 2 = -4*q + 70. Let a = 301 - 291. What are the prime factors of q*(-5)/(a/(-6))? 3, 17 Let o(x) = -57*x + 27. What are the prime factors of o(-16)? 3, 313 Suppose -3*i = -i + 116. Let d = -34 - i. Suppose -4*m + 20 = -3*m - 3*t, 2*m - 2*t = d. List the prime factors of m. 2 Suppose 2*f - 44 = -2*f. Let k = f + 29. List the prime factors of k. 2, 5 Suppose -u - o + 56 + 566 = 0, 2*o = -3*u + 1868. What are the prime factors of u? 2, 3, 13 Suppose -15*w + 1591 = -14*w. Suppose -w - 279 = -22*z. List the prime factors of z. 5, 17 Suppose -48 = -4*f - 0. Let u = 17 - f. Suppose 0 = -4*o + w - 0*w + 63, -2*o + 37 = u*w. List the prime factors of o. 2 Let t be (4 - 5)*-3*-2. Let m = t + 68. List the prime factors of m. 2, 31 Let l = 292 - -3785. What are the prime factors of l? 3, 151 List the prime factors of -2572*(-3 - (-6)/((-96)/(-44))). 643 Let b be (2*-5)/(-1) - -3. Suppose 6*k + 490 = b*k. List the prime factors of k. 2, 5, 7 Suppose -9*v = -11*v + 1590. What are the prime factors of v? 3, 5, 53 Let a(q) be the first derivative of -q**2/2 + 5*q + 1. Let v = -33 + 21. What are the prime factors of a(v)? 17 Let d(l) be the first derivative of l**3/3 - 5*l**2/2 + 8*l - 2. Suppose 4*b = 4 + 24. List the prime factors of d(b). 2, 11 Let n(r) = -3*r**2 - 21*r + 17. Let p(w) = -2*w**2 - 11*w + 9. Let g(h) = -3*n(h) + 5*p(h). Let l be -1 + 9 - 2*1. What are the prime factors of g(l)? 2, 3 What are the prime factors of ((-13)/26)/((-1)/434)? 7, 31 Let l(v) = -5*v + 11. Let q be l(11). Let g = q + 80. Let u = g - 22. List the prime factors of u. 2, 7 Let l = 390 - 301. What are the prime factors of l? 89 Let n be 0 - 3/((-6)/808). Suppose -6*d + 436 = -n. List the prime factors of d. 2, 5, 7 Let o(v) = 2*v**3 - 6*v**2 - 23*v + 37. What are the prime factors of o(10)? 17, 71 Let v(z) = 28*z**3 + 2*z**2 - 6*z - 2. List the prime factors of v(3). 2, 13, 29 Suppose -5*i = -2*v - 21, -3*i + 27*v - 6 = 32*v. Suppose -8*b + 219 = -4*b - 3*o, 5*b - 5*o = 280. Suppose i*w + 0*w = b. What are the prime factors of w? 17 Let b = -396 - -1014. List the prime factors of b. 2, 3, 103 Let q be 3 - (-1 + -1) - 3. Let u(m) = 2*m**3 - 3*m**2 + 3*m - 3. Let n be u(q). What are the prime factors of 3/(-1) - (n + -24)? 2, 7 Let x(r) be the third derivative of r**4/24 + r**3/2 - 8*r**2. Let y = 12 + -3. What are the prime factors of x(y)? 2, 3 Suppose -50*x + 34430 = 9330. What are the prime factors of x? 2, 251 Let p(x) be the third derivative of x**5/60 + 7*x**4/8 + 20*x**3/3 + 15*x**2. List the prime factors of p(-22). 2, 31 Suppose 0 = -c + 4*c + 9. What are the prime factors of (-1)/c - 298/(-6)? 2, 5 Let y be 0/(-3) - (0 - 4). What are the prime factors of (y/3)/(2 + (-632)/318)? 2, 53 Suppose y - 4 - 1 = 0. Suppose -z = -2*j + j + y, -2*j + z + 10 = 0. Suppose -j*x + 76 = -x. List the prime factors of x. 19 Let f = 678 - -27. What are the prime factors of f? 3, 5, 47 Let c be 0 - (-2 + 7)/(-1). Suppose c*w - 479 = -54. Suppose -2*y - 112 = -4*m, m - 4*m + y + w = 0. List the prime factors of m. 29 Suppose -l = 11*l - 14292. What are the prime factors of l? 3, 397 Let z(w) = 2*w**2 - 7*w - 422. What are the prime factors of z(-20)? 2, 7, 37 Let b(t) = -2*t**3 + 3*t**2 + 6*t + 14. List the prime factors of b(-5). 3, 103 Let a = 483 - -14. List the prime factors of a. 7, 71 Let a = 1133 - -45. List the prime factors of a. 2, 19, 31 Let p = 7 - 1. Suppose -p*w + 12 = -3*w. Suppose w*c = -f - f + 176, 0 = 2*c - 5*f - 64. What are the prime factors of c? 2, 3, 7 Suppose -18 = 3*q + 24. Let a(u) = -u**3 - 14*u**2 - 3*u + 7. What are the prime factors of a(q)? 7 Let h be 3/(3/9*3). Let c be (12/4)/h - -7. What are the prime factors of (c + -10)/((-4)/42)? 3, 7 Let y(w) = -4*w - 11. Suppose 8 = 2*q + 52. List the prime factors of y(q). 7, 11 Let d(g) = -g**3 - 11*g**2 + 12*g + 8. Let u be d(-12). Suppose -u = -3*f - 2. Suppose -73 = -5*q + f. What are the prime factors of q? 3, 5 Let h = -417 - -64
{ "pile_set_name": "DM Mathematics" }
Which is the closest to -69? (a) 5 (b) -1/2 (c) 2 (d) -3/17 b What is the nearest to 17 in -3/4, 0.4, -7116? 0.4 Which is the nearest to -0.1? (a) 701 (b) 0 (c) -24 b What is the nearest to 113 in 2, 4.5, -5? 4.5 Which is the closest to -2? (a) -1967 (b) 1 (c) -3/8 c Which is the nearest to -2? (a) 0.2 (b) 0.402 (c) 3/32 c Which is the closest to 1.2? (a) -4 (b) 75 (c) 6/7 (d) 0.2 (e) 1/7 c What is the nearest to 1 in -3, -79, 1, 0, -29? 1 Which is the nearest to -1/11? (a) -1/24 (b) 1/3 (c) 4 a What is the nearest to -1/2 in -3, 1, -1.2, 2470, 5? -1.2 What is the closest to -0.226 in 0.5, -0.2, 55, 13? -0.2 What is the nearest to 18 in 9/10, 0, -0.14? 9/10 What is the closest to -0.1 in 3/17, 0, 169.5, -5/4? 0 Which is the nearest to -0.25? (a) 2/89 (b) 3 (c) 1/29 (d) -3 (e) -0.3 e Which is the closest to 0.1? (a) 0.17 (b) -0.5 (c) 3/2 (d) 2/3 (e) -3/4 a What is the nearest to 7.5 in 0.05222, 0.4, -5? 0.4 Which is the closest to 7293? (a) 0.5 (b) 5 (c) -4 b Which is the closest to 4? (a) -1/10 (b) -0.4 (c) -1/2 (d) -0.3 (e) -35/4 a Which is the closest to -1? (a) -2/9 (b) 382 (c) -4 (d) 4/5 (e) 2/3 a Which is the closest to 3? (a) -3/7 (b) -0.08 (c) 2 (d) 64 c What is the nearest to 4/3 in -11/5, 5, 2/87, -1? 2/87 Which is the closest to -11/5? (a) -0.2 (b) 439 (c) -0.5 c What is the nearest to -0.1 in 1/5, -0.2, 1018, -1/63, 0.1? -1/63 What is the nearest to -0.5 in 2/9, -12/11, 5, 3? -12/11 What is the nearest to 3 in -11, -2, 2/19, 6? 2/19 What is the closest to 6 in 3/5, -4, -9, 0, 2/15? 3/5 Which is the closest to 1? (a) -4/139 (b) 7 (c) 63 a What is the closest to 2090 in -2, -4, 0.08? 0.08 What is the nearest to 2/7 in 127, -3/5, -2? -3/5 Which is the nearest to 7? (a) -0.5 (b) -2/3 (c) 12.2 (d) 0.1 c What is the nearest to 2 in -2.7, -0.2, 5.5? -0.2 What is the nearest to 49/8 in -0.2, -4, 2/23, -1, 2? 2 What is the nearest to 5 in -2, -360/17, 0.08, -1/7? 0.08 Which is the closest to -1/2? (a) 1/10 (b) 3 (c) -0.18 (d) -1 c What is the nearest to -0.55 in 0.0123, 0.5, 2/9, 2/5? 0.0123 What is the nearest to -2/17 in -6/5, 0, -2, -2/13? -2/13 What is the nearest to -0.2 in -4, -9.5, 43, -3/2? -3/2 Which is the nearest to -2/11? (a) 0.074 (b) -87 (c) -3 (d) 2/3 a Which is the closest to 1? (a) -49923 (b) 2/7 (c) 1 (d) -0.7 c Which is the nearest to -2/3? (a) 4 (b) 1/5 (c) -2/7 (d) 6.3 c What is the closest to 0.02 in 1, 37, 4, -7? 1 Which is the nearest to 2/7? (a) 0 (b) -0.05 (c) 0.07 (d) -2/7 (e) -2/5 c Which is the nearest to 2/3? (a) 3/7 (b) 302 (c) -1 (d) -0.3 a Which is the nearest to 3075? (a) 0.02 (b) 0.3 (c) -0.4 b Which is the closest to 66/13? (a) -1/4 (b) 0.5 (c) -170 b Which is the closest to 2/7? (a) -2/23 (b) 83 (c) 1/3 (d) -66 (e) -3 c Which is the closest to -25? (a) -1 (b) 338 (c) -2/9 (d) -0.1 (e) 0.1 a Which is the nearest to -0.4? (a) 12 (b) 25 (c) -0.13 c Which is the nearest to 0? (a) 1/3 (b) 0 (c) -4 (d) 214 b Which is the nearest to -0.8? (a) 0.08 (b) -10 (c) 9 (d) -4 a What is the nearest to -168 in 2, 43/18, 4, -1/6? -1/6 What is the closest to 5/21 in -4, 133, 3.1? 3.1 What is the closest to 0.1 in -0.3, -4, 12/695? 12/695 Which is the nearest to -154/15? (a) 3/5 (b) -5/22 (c) -4 (d) -0.1 c What is the closest to 1 in 2, 93, -507? 2 What is the nearest to -6/11 in 5, 17.19, 2, -1? -1 What is the nearest to 11/3 in 5, -0.3, 20/13? 5 What is the nearest to -1.4 in 5, -1, -2/21, 11, 2? -1 What is the nearest to 27 in -3, -1/4, 3? 3 What is the nearest to 155/44 in -12, 1/5, 0.5? 0.5 Which is the nearest to -5.1? (a) -1.1 (b) 0.1 (c) -5 (d) 0.009 (e) -0.3 c Which is the nearest to -1? (a) -3 (b) -20 (c) 0.08 (d) -14.8 c Which is the closest to -4/171? (a) 1/15 (b) 2/11 (c) -1 a Which is the nearest to -4/7? (a) 5 (b) -2 (c) 164 b Which is the nearest to 286? (a) -15 (b) -3 (c) -12 (d) -9 b Which is the nearest to 9? (a) -91.1 (b) 2/21 (c) -2/11 b What is the nearest to 4 in -0.3, 0, -0.119? 0 What is the nearest to 18/5 in 10, -0.004, -2/13, -5, -0.4? -0.004 What is the nearest to -0.2 in 0, -10, -2/3, 13/102? 0 Which is the closest to 3/5? (a) -4 (b) 3/55 (c) 4/3 b What is the closest to -0.1 in 0.2, 0.3, -1/1295, -10? -1/1295 What is the nearest to -1 in -1/134, -0.04, 3/7? -0.04 Which is the nearest to -4? (a) 0.4 (b) 3/2 (c) 0.112 (d) 0.2 (e) -5 e What is the nearest to 0 in -9, -0.4, -0.11, -1/10? -1/10 Which is the closest to 0.1? (a) 263 (b) -5 (c) -0.2 (d) 0.18 d What is the closest to 5 in -0.2, 3287, 5? 5 Which is the closest to -2/3? (a) -5 (b) 0.0648 (c) -3 b What is the nearest to -1.1 in -25, -5, -2/3, 3, 381? -2/3 What is the closest to -10 in 2/7, -2, -1/14097, -3? -3 Which is the nearest to 8.5? (a) 0 (b) 60.2 (c) -5 (d) -0.3 a What is the closest to 4 in 1, -10, -2/7, 2/13? 1 Which is the closest to -0.065? (a) -2/7 (b) 0.03 (c) 1/2 b Which is the closest to -0.4? (a) -10 (b) -0.46 (c) 1 (d) 4 (e) 5 b Which is the closest to 52? (a) -3 (b) -4 (c) -2 (d) 2 (e) 0.3 d Which is the closest to 1/27? (a) 2/13 (b) 1/4 (c) 2/1111 c What is the nearest to -3 in 2/5, -1/5, -0.5, -0.04022? -0.5 What is the closest to 2.57 in 1/2, -0.4, -35? 1/2 What is the nearest to 0 in 5, -2, -8.4, 0, -3? 0 Which is the nearest to -2? (a) -1/2 (b) 4 (c) 2/11 (d) -469 (e) -3 e Which is the closest to 1? (a) 1 (b) 0.01754 (c) -4/5 (d) 0.1 a Which is the closest to 1/3? (a) -5 (b) -1/2 (c) -0.1 (d) 0.11 (e) 0.03 d Which is the nearest to 0.1? (a) 27 (b) -10 (c) 1.8 c Which is the closest to 1? (a) -1.51 (b) -0.3 (c) -18.9 (d) -1 (e) 5 b What is the closest to -2/15 in -0.4, -2/15, 2, 5? -2/15 What is the closest to 0.481 in -1, -4/11, 4/3? -4/11 What is the nearest to 0 in -6, -7012, -1.3, 0.3? 0.3 What is the closest to 0 in -3, -15, -0.3, -0.04? -0.04 Which is the closest to 2? (a) -130 (b) -0.5 (c) 8 (d) 2/9 d What is the nearest to 1 in 1/5, 160, -1, -10.5? 1/5 Which is the nearest to -0.8? (a) 0 (b) -122 (c) 2/15 (d) 1/2 (e) -12 a What is the nearest to -2/3 in -1/4, 17/5, 4? -1/4 What is the closest to -12/7 in -0.2, -33, 4? -0.2 What is the nearest to -0.09 in 3/2, -369, -1/8? -1/8 What is the closest to -2743 in 4, -0.2, 0.4? -0.2 Which is the closest to -7? (a) -5/2 (b) -2 (c) -0.03 (d) 5 a What is the closest to 0.2 in -5, -36, 1, -1250? 1 Which is the nearest to 2/3? (a) 0.1 (b) -0.1 (c) 675.1 a What is the closest to -3/5 in -84/241, 1, -3? -84/241 What is the closest to 1 in 7/6, 2/19, -1? 7/6 Which is the closest to 0.081? (a) 5461 (b) 5 (c) -3 c What is the closest to -0.1 in 3/7, 0.01, -0.04, 11, 2? -0.04 What is the closest to -12 in 2, -4, -11? -11 What is the closest to 0.1 in 3, 0.1, -5228, -2, -1/5? 0.1 Which is the nearest to -3? (a) 3.7 (b) 0.002 (c) 0 (d) -1/2 d What is the nearest to 2 in -2/17, -7, 2/7, 0.31? 0.31 What is the closest to -1/4 in 5, 0.4, 101339? 0.4 Which is the nearest to 1/17? (a) -1 (b) -8 (c) 3/2 a Which is the closest to 5? (a) 0.12 (b) 0 (c) -4 (d) 0.2 (e) -0.2 d Which is the nearest to -3/19? (a) -5 (b) 0.2 (c) 18/11 (d) -1 (e) -4 b Which is the closest to -3/7? (a) -352.3 (b) -4 (c) -2/9 (d) -3 c Which is the nearest to 1? (a) 2 (b) 5 (c) -1/13 (d) 0.26 d Which is the closest to 2/7? (a) -0.4 (b) 3/7 (c) -42.19 b What is the nearest to 5 in 0.1, -28, -78? 0.1 Which is the closest to -0.1? (a) 8 (b) 1 (c) -1 (d) 2/3 (e) -0.013 e Which is the nearest to 3? (a) -46 (b) -2 (c) 3/7 (d) 1 (e) 2 e Which is the closest to -7? (a) 6/14863 (b) 1 (c) 4 a What is the nearest to -2/37 in -0.1, 1/3, -2/13, 2/3? -0.1 Which is the nearest to 0? (a) 0.07 (b) 0.051 (c) -2 b Which is the closest to 0? (a) -0.1 (b) -0.058 (c) 0.73 (d) 5/4 (e) 1/3 b Which is the closest to -2/3? (a) 1/4 (b) 10 (c) 2 (d) 9 (e) -2/95 e Which is the closest to 6? (a) -94 (b) -3/4 (c) -5 (d) -2 b Which is the nearest to 1? (a) 1 (b) 47 (c) 2/1237 a What is the closest to 1 in 3.943, 4, 1/3? 1/3 Which is the closest to -3/2? (a) -15 (b) 1136/7 (c) 1/5 c What is the nearest to -0.25 in 2, 29, 0.3, 5, -0.4? -0.4 Which is the nearest to 2/7?
{ "pile_set_name": "DM Mathematics" }
to -4? (a) -5 (b) m (c) 6/11 a Let h = 1 - -3. Let i = 16254 - 16255. Which is the closest to i? (a) -2/31 (b) h (c) -5 a Let o be 30/25*(-10)/(-3). Let b = -4 + o. Let u be 2 + (-15)/15 + 14/(-18). What is the closest to -1 in 0.5, u, b? b Suppose 34*f = 30*f - 8. Let z be (-4060)/90 - f/6. Let q = z + 45. Which is the nearest to q? (a) -0.5 (b) 0.5 (c) 0.1 c Let m = 20 + -16. Let u = -75 - -599/8. Let p = 122 - 122. Which is the closest to -2? (a) p (b) m (c) u c Suppose 14 - 37 = -74*j + 51. What is the closest to j in -2/3, -12, 0.2, -2/9? 0.2 Let w = 3517.23 + -3547. Let d = -0.27 - w. Let n = -0.5 - d. Which is the closest to -1? (a) n (b) -2/5 (c) -5 b Let k = 96.1 - 78. Let s = -18 + k. Let t = 2/49 + 143/98. Which is the nearest to -0.1? (a) 1 (b) t (c) s c Let k(p) = -p**2 + 7*p + 11. Let s be k(9). Let t = s + 6. Let d = 65.6 + -65.5. Which is the nearest to t? (a) -5 (b) d (c) -3 b Let m(y) = -6*y**3 - y**2 + y - 1. Let d be m(1). Let i be d + 16/(3 - -1). Which is the closest to 3? (a) -4 (b) -17 (c) i c Let d = -931199/384 + 2425. Let o = d + -587/4224. Which is the nearest to 2? (a) 4 (b) -1/4 (c) o a Let h = 3332 + -3335. Which is the nearest to 0.2? (a) h (b) 0.07 (c) -2 (d) -2/17 b Let q = 0.2 + 0.3. Let b = -756.9 + 137.9. Let f = 619.2 + b. What is the nearest to 4 in f, 0, q? q Let z = -3909 + 3908.8. What is the closest to -2/2479 in 0.4, z, -5? z Let t(b) = b**3 - 2*b**2 + 2*b - 5. Let a be t(3). Suppose -a*i = -11*i + 16. Suppose -37 = -i*k - 101. What is the closest to -2/3 in -2/5, k, 4? -2/5 Let h(d) be the first derivative of -d**3/3 + 12*d**2 - 44*d + 65. Let y be h(22). What is the nearest to y in -0.1, 5, -4/5, -1/7? -0.1 Let j = 8.4 - 8. Let m = j + -1.4. Let u = -69 + 206/3. What is the closest to u in m, 14, 3? m Let p = -1605.2 + 1605.2. Let f(u) = -u**3 - 3*u**2 - 2*u. Let o be f(-2). Let q be 2/8 - o/2. Which is the closest to q? (a) 3/4 (b) 5 (c) p c Let v = 958.3 + -974.3. Which is the nearest to -1.9? (a) v (b) 0.5 (c) 2/11 c Let n = -105 - -99.72. Let z = -10.42 - n. Let w = 0.14 + z. Which is the closest to 1? (a) w (b) 4/7 (c) 3/8 b Let f be (454/(-517))/(-48 + 50). Let k = f - 5/47. Which is the closest to 2/11? (a) -1 (b) 2/9 (c) k b Let f(z) = -z**2 - 3*z + 213. Let w be f(-16). What is the nearest to -0.1 in 8, 0.08, w, -3? 0.08 Let h = 16605.49 - 16604. What is the nearest to 0.8 in h, -0.3, -3? h Let k = 7 + -11. Let q = 17909 + -17909.2. What is the nearest to q in 0.6, k, -3? 0.6 Let x = 169/1425 - 1/75. Suppose -d = g - 27, 25*g + 5*d - 60 = 23*g. Suppose -4*j = -5 + g. Which is the nearest to -1/2? (a) j (b) x (c) 1/3 b Let m = 0.09 - 0.08. Let i = m + 0.09. Let a = -157/88 + 21/11. What is the closest to i in -0.3, a, 3/4? a Let v be (-2)/((-2)/(-5)) - 4063/(-717). Let y = -514886 + 249719521/485. Let b = y + -1/97. What is the closest to v in -5, b, 2/5? 2/5 Let b = -1889/268 + 20/67. What is the nearest to -0.1 in 6, -3, b? -3 Let q = 1924 + -1917. Which is the nearest to -3? (a) q (b) -2/17 (c) -2 c Let i(s) = s + 6. Let p be i(-3). Let v = 7342 + -7341. What is the nearest to v in -0.32, p, -3? -0.32 Let f = 67 + -69. Let t = -1/37 + 41/148. Suppose 1 - 2 = c, 0 = 3*x - 3*c - 12. What is the closest to f in x, 0.4, t? t Let u(v) = -5*v**2 + 14*v + 6. Let i be u(9). Let t be i/(-442) - 1/2. Which is the nearest to 1? (a) 2/13 (b) -29 (c) t a Let c be (-1)/9*-3 + 1 + -1. Let m = -203 + 198. What is the closest to c in 4, m, -1? -1 Let p = 5634 - 354950/63. Let m = 271/1638 + p. Let z = 11/52 + m. What is the nearest to 16 in -2/5, z, -2? z Let w be (-5)/3*(-4)/(-10). Suppose -12*y + 142177 - 142141 = 0. Suppose -2*v + 1 = 5. Which is the nearest to -1? (a) y (b) w (c) v b Suppose 8 = 4*m + 4. Let g = -297 - -299. Let f be (m/4)/((-1)/g + 0). What is the closest to -1 in -0.1, 0.3, f? f Let p = -0.09812 + 0.29812. Which is the closest to p? (a) -338 (b) 0.2 (c) 0.1 b Let v = 193 + -174. Let z = v - 22. What is the nearest to 0.1 in 2/19, -14, z? 2/19 Let v = -2591 + 2590.7. Let t(h) = h**3 - 12*h**2 + 4. Let k be t(12). What is the nearest to 14 in v, -1, k, -2/9? k Let g be 8/2 + 48/28 + -2. Let l = -248/63 + g. Which is the nearest to l? (a) 31 (b) 3 (c) -5 b Let g be 3 + (6 + -5)*3. Let f be 138/(-18) + 2 + g. What is the closest to 0 in 3, -2/11, f? -2/11 Let y be (172/120 + (-9)/6)/(9/15). Which is the nearest to 1/4? (a) -0.3 (b) -0.11 (c) y (d) -2/11 b Let k = -27.068 + 0.068. Let q = -15.9 - 9.1. Let y = q - k. What is the nearest to 2 in 1/2, y, -2? y Let q = 1.9 - 1.8. Let a = 4.804 + -4.704. What is the closest to q in -0.3, 0.2, a? a Suppose o - 26 = -5*a, 0*a - 19 = -3*a - 4*o. Let h = -19707 + 19703. What is the nearest to -24 in -0.1, a, h? h Let l = 46 + -139/3. Let r = 31865.7 - 31866. Which is the nearest to l? (a) 22 (b) 1/8 (c) r c Let f = -35 + 35.13. Let z = -0.83 + f. Let s = -0.7 - z. Which is the nearest to s? (a) 0.1 (b) 4 (c) -2 a Suppose 0 = -4*p - 3*y, 4*p = -2*y + 4*y. Let d = 2307 - 2691.8. Let k = d + 385. What is the closest to k in 2, 1, p? p Let c be 16/(-6)*(-9)/(-42). Let l = 55.7 - 13.5. Let s = l + -40.2. What is the nearest to c in s, -0.3, -3/5? -3/5 Let s = -11887/2 + 5942. What is the closest to 5/4 in s, 54, 1? 1 Let k = -3 + 3.02. Let t = k - 4.02. Let w = -373 - -372.9. Which is the nearest to w? (a) t (b) -2 (c) -3 b Let y = 0.3 - 0. Suppose -3*n - 3*x = -57, -n = 24*x - 25*x - 15. Suppose 2*h + 2 = 3*f, -12*f + n*f = 0. Which is the nearest to -0.3? (a) y (b) -5 (c) h a Let d be 5*((-4)/(-10) + 8/(-120)). Which is the nearest to 6? (a) d (b) 3/2 (c) 0 a Let k(z) = -584*z + 4091. Let g be k(7). Let s = 7 + -3. Let q = 0.038 + -0.238. Which is the nearest to s? (a) q (b) g (c) -3/5 b Let h = 0.0457 + 0.0543. Suppose -5*x = -20, 0 = -3*l + 3*x - 12 - 6. Which is the closest to h? (a) -1/7 (b) -3/8 (c) l a Let o = -2203 + 2202.8. What is the nearest to -12 in o, 2/9, -1/13, -4? -4 Suppose 0 = 5*s + 19 + 31. Let j be 54/(-45)*s/3. What is the nearest to j in -3, 5, -0.05? 5 Let d = -0.2 + -0.2. Let f be (-6916)/2730 + 12/10. Which is the closest to 1/3? (a) f (b) -0.9 (c) d c Let c = -80.86 + 79.86. What is the closest to -1/3 in c, -20, -2/7, 33/5? -2/7 Let g be (-6)/28 - (-455)/(-2450). Let y = -0.23 - -0.07. What is the closest to y in g, -0.3, 5? -0.3 Suppose 11*k + 12*k + 20*k = k. Which is the closest to k? (a) 0.05 (b) -3 (c) -0.46 a Let q = -6046/203 - -872/29. Let j = -213.16 - -205. Let d = 0.16 + j. Which is the closest to q? (a) 3 (b) 0 (c) d b Let o = -384 - -369. Let m be (-27)/(-180)*(-25)/o. Which is the nearest to 3? (a) m (b) 2 (c) -1 b Let r = -3080.5 - -3076.1. What is the closest to -0.2 in 2/3, r, 1.3, -0.3? -0.3 Suppose 5*i = 3*d + 38, i - 5*d + 30 = 2*i. Let l = -14 - 30.8. Let w = 45 + l. Which is the closest to 2/7? (a) -2/3 (b) w (c) i b Let t = -125/22 - -11/2. Let g = -157 + 308. Let k = g - 164. Which is the closest to -0.1? (a) 0 (b) t (c) k b Let o = -101/15 + 27/5. Let q = 781/26 - 384/13. Which is the nearest to q? (a) o (b) 0.1 (c) -5 b Let w = 0.1941 + -0.0941. What is the closest to w in 5/6, 0.4, -123? 0.4 Let q = -1 + 2. Let n be (-17*(-20)/680)/3. What is the nearest to -2/5 in n, q, -11? n Let r be -4*(6/((-24)/35) + 2). Let d be (-9)/30*18/r. Which is the closest to d? (a) -37 (b) -2 (c) 0.5 c Let u = -0.294 + 30.094. Let b = u - 30.8. What is the nearest to b in -5, -0.3, -1/2? -1/2 Let b = 0.68 - 0.6012. Let h = -1.6788 + b. What is the nearest to -2 in -0.2, 0.1, h, -0.5? h Let t(s) = 75*s - 77 + 251 - 109*s. Let o be t(5). Which is the closest to 0? (a) o (b) -0.1 (c) -5 b Let z(l) = -14*l - 420. Let j be z(-40). Let x be 6/(-60) - (3 + (-374)/j). Let c = -0.2 - -0.1. What is the nearest to -0.1 in c, -0.2, x? c Let p = -18.22 + 0.22. Let o = p - -23. Let v = -1019 + 1023. Which is the nearest to -1? (a) v (b) o (c) -2/5 c Let i = -21783 - -21783.2. Which is the closest to 0? (a) -65 (b) -0.1 (c) 0 (d) i c Let d be 57/180*(-50)/(-20) + 2/(-3). What is the nearest to 6 in d, -10, -3, 5? 5 Let k = 11017.11 + -11017. What is the closest to k in 16, 0.2, -0.2, -1/6? 0.2 Let n(s) = -s
{ "pile_set_name": "DM Mathematics" }
+ 2 + 2 + sqrt(684))**2. 96*sqrt(19) + 2752 Simplify (-5 + -1*sqrt(1900)*-2 + 5)**2. 7600 Simplify (6*sqrt(28)*-1 + 1 + sqrt(3388))**2. 20*sqrt(7) + 701 Simplify sqrt(20) - (-5 + -4 + sqrt(20)). 9 Simplify ((sqrt(104) + (-3*sqrt(104) - sqrt(104)))*-3)/(sqrt(24)/sqrt(27)). 27*sqrt(13) Simplify sqrt(18)/sqrt(6)*-3 + -5. -3*sqrt(3) - 5 Simplify 2*(-2 + sqrt(5)*-1)*-2. 8 + 4*sqrt(5) Simplify sqrt(1900)*-3 + 0 - (sqrt(1900) - 2*(sqrt(1900) + sqrt(1900)*1))**2. -17100 - 30*sqrt(19) Simplify (-3*1*sqrt(171))/(-2*sqrt(36)). 3*sqrt(19)/4 Simplify ((sqrt(204)*1)/sqrt(12))**2 - sqrt(68)/sqrt(4)*-6. 17 + 6*sqrt(17) Simplify 3*(sqrt(66)*2 + sqrt(66))/sqrt(6). 9*sqrt(11) Simplify (2*sqrt(99)*-1)/(-2*sqrt(576)). sqrt(11)/8 Simplify (((sqrt(380)*1)/sqrt(10))/(sqrt(2) + sqrt(200)*-1))**2. 19/81 Simplify ((sqrt(204) - 2*sqrt(204))*-4)/(sqrt(96)/sqrt(2) + sqrt(48)). sqrt(17) Simplify ((-3*sqrt(84)*-4)/(sqrt(192)/sqrt(4)))**2. 252 Simplify (sqrt(68)/(1*sqrt(4)) - (sqrt(153)/sqrt(3) - sqrt(51))/sqrt(3))**2. 17 Simplify (sqrt(833) + sqrt(833)*-2 + 0)**2*-1*6. -4998 Simplify (0 + sqrt(847) + 0 - (sqrt(847) + -1 + sqrt(847) + 1))**2. 847 Simplify -3*((0 + sqrt(63))**2 + -3)*-4. 720 Simplify (-6*(sqrt(40)/sqrt(2) - sqrt(20)))/sqrt(10). 0 Simplify sqrt(891) + -5*1*sqrt(891). -36*sqrt(11) Simplify (-2 + sqrt(33)/sqrt(11))**2 - (-6*(sqrt(3) + -5 + sqrt(3)) + sqrt(3)). -23 + 7*sqrt(3) Simplify (sqrt(1584)*2)**2 - 1*sqrt(11)*2. -2*sqrt(11) + 6336 Simplify sqrt(153)/(sqrt(27)/sqrt(3))*-2 - (((sqrt(2448) - (sqrt(2448) + -1 + sqrt(2448))) + sqrt(2448))**2 + sqrt(17))*6. -8*sqrt(17) - 6 Simplify -1*sqrt(684) + 2. -6*sqrt(19) + 2 Simplify ((sqrt(152) - 3*(sqrt(152) + -1*sqrt(152))) + sqrt(152))/(sqrt(8) + (4*sqrt(88) - sqrt(88))/sqrt(11)). sqrt(19)/2 Simplify 4 + (sqrt(486)*3)/sqrt(3). 4 + 27*sqrt(2) Simplify -3*(sqrt(3) + sqrt(12)/sqrt(4)) + -5. -6*sqrt(3) - 5 Simplify (1*sqrt(13) + -5 + sqrt(39)/sqrt(3)*-3)**2. 20*sqrt(13) + 77 Simplify -2 + (sqrt(252) + 3)**2*-4. -1046 - 144*sqrt(7) Simplify -3 + (sqrt(700)*-2 + sqrt(700))*5. -50*sqrt(7) - 3 Simplify (2 + sqrt(208)*-1 + 1)**2. -24*sqrt(13) + 217 Simplify -3 + sqrt(9)/sqrt(3) - (1 + sqrt(3))**2*-5. 17 + 11*sqrt(3) Simplify (sqrt(700) - (sqrt(700) + 1)) + -1*(sqrt(7) + sqrt(28)) + 1. -3*sqrt(7) Simplify (sqrt(704)*-1 - sqrt(704))/(sqrt(4) + sqrt(4) + sqrt(4)*3*5 + sqrt(4)). -4*sqrt(11)/9 Simplify (sqrt(156)*-2*6 + sqrt(156))/(-5*sqrt(48)). 11*sqrt(13)/10 Simplify (sqrt(1216)*-1)**2 + -3 - sqrt(1216)*-2*2. 32*sqrt(19) + 1213 Simplify ((sqrt(637) + sqrt(637) + 1 - sqrt(637)) + -2 + sqrt(637))**2. -28*sqrt(13) + 2549 Simplify ((2*sqrt(2052) - sqrt(2052))/(-2*sqrt(192)))**2. 171/64 Simplify (-2*sqrt(320))**2 - sqrt(5) - (2 + (0 + sqrt(5))**2 + sqrt(5)). -2*sqrt(5) + 1273 Simplify (5*(sqrt(112) + 4))**2. 800*sqrt(7) + 3200 Simplify (sqrt(720)*1 + sqrt(5))*-3. -39*sqrt(5) Simplify 2*(sqrt(30) + (sqrt(360)/(sqrt(24)/sqrt(2)) - sqrt(30) - sqrt(30)))/sqrt(10)*6. 0 Simplify 4 + sqrt(63) + -4. 3*sqrt(7) Simplify (4*2*sqrt(192) + 3)**2. 384*sqrt(3) + 12297 Simplify -1 + sqrt(125) + -6*(-1 + sqrt(125)). -25*sqrt(5) + 5 Simplify (-6*(sqrt(126) - 1*sqrt(126)))/sqrt(7). 0 Simplify 0 + (-5 + -2 + sqrt(245))**2. -98*sqrt(5) + 294 Simplify ((sqrt(21)/sqrt(48))**2 - (sqrt(112)*1 + sqrt(112))) + 4. -8*sqrt(7) + 71/16 Simplify (sqrt(1539) - (sqrt(1539) + 4 + sqrt(1539) + sqrt(1539)))**2*4. 576*sqrt(19) + 24688 Simplify -3 + (sqrt(162) - (sqrt(162)*-2 + sqrt(162))*1). -3 + 18*sqrt(2) Simplify (-1*-2*sqrt(84))/(sqrt(12) + -1*sqrt(972) + sqrt(972) + sqrt(972)). sqrt(7)/5 Simplify 4*(sqrt(833) + sqrt(833)*-2). -28*sqrt(17) Simplify (-1*2*sqrt(102))/(sqrt(6) - sqrt(270)/sqrt(5)). sqrt(17) Simplify (-2*sqrt(1764))/(sqrt(7) - sqrt(28)/sqrt(100)). -15*sqrt(7) Simplify -6*(-3 + sqrt(17) + -1)**2. -198 + 48*sqrt(17) Simplify ((sqrt(153) + -3*sqrt(153) + sqrt(153))/sqrt(9))**2 - sqrt(68)/(3*sqrt(4)). -sqrt(17)/3 + 17 Simplify -2 + (sqrt(7)*2)**2 - (sqrt(7) - sqrt(56)/(sqrt(128) - sqrt(8))). -2*sqrt(7)/3 + 26 Simplify (2 + 1 + -1 + sqrt(2))*-1. -2 - sqrt(2) Simplify (sqrt(3) + sqrt(3) + sqrt(12) + 4)**2 + 2 + 5. 32*sqrt(3) + 71 Simplify (sqrt(1029) + (sqrt(1029)*-1 - sqrt(1029)))/sqrt(7). -7*sqrt(3) Simplify sqrt(55)/(sqrt(15)/(sqrt(3) + sqrt(3)*3))*2. 8*sqrt(11) Simplify (sqrt(288) - (1*sqrt(2) + 1))*-2. -22*sqrt(2) + 2 Simplify -5*(sqrt(70) - 3*sqrt(70))/sqrt(10). 10*sqrt(7) Simplify (4*sqrt(95)/(2*sqrt(180)))**2. 19/9 Simplify (2*sqrt(3267))/(1*sqrt(9)*-4). -11*sqrt(3)/2 Simplify (-3 + sqrt(3072) + sqrt(3072)*-2 + 3)**2. 3072 Simplify 2*sqrt(4)/(1*sqrt(8)/sqrt(4))*-4. -8*sqrt(2) Simplify -3*-3*sqrt(19) - sqrt(19) - 1*sqrt(19)*2. 6*sqrt(19) Simplify ((-2*sqrt(63))/sqrt(7))/((sqrt(3) - sqrt(15)/sqrt(125)) + sqrt(3)). -10*sqrt(3)/9 Simplify 4*((sqrt(637)*3 - sqrt(637) - sqrt(637))**2 + sqrt(637)). 28*sqrt(13) + 2548 Simplify -2 + (sqrt(1792) + 3)**2. 96*sqrt(7) + 1799 Simplify (6*sqrt(272)*-1)**2 + 0. 9792 Simplify (sqrt(13) + sqrt(832)*-2)*3 + 1 + -5. -45*sqrt(13) - 4 Simplify -4 + sqrt(128) + (1 + sqrt(128))**2. 24*sqrt(2) + 125 Simplify (sqrt(30)*2*-3 + sqrt(30))/((sqrt(216)/sqrt(4))/sqrt(9)). -5*sqrt(5) Simplify (-3*(3 + sqrt(272))*-1)**2. 216*sqrt(17) + 2529 Simplify (5*-4*(sqrt(2) - sqrt(6)/sqrt(3)))**2. 0 Simplify sqrt(2448)*-3 - ((sqrt(51)/sqrt(3))**2 + 4). -36*sqrt(17) - 21 Simplify sqrt(54)/sqrt(3) + 3. 3 + 3*sqrt(2) Simplify (sqrt(15) + (sqrt(15) - sqrt(150)/(sqrt(20)/sqrt(2))))/((sqrt(50) + sqrt(800))/sqrt(10)). sqrt(3)/5 Simplify 0 + sqrt(8)/(-6*sqrt(16)). -sqrt(2)/12 Simplify 3*sqrt(256)/sqrt(8). 12*sqrt(2) Simplify -2 + (sqrt(190) + ((sqrt(190) + (-1*sqrt(190) - sqrt(190)))*-1 + sqrt(190) - sqrt(190)) + sqrt(190))/(sqrt(10) + (sqrt(810)*2 - sqrt(10))). -2 + sqrt(19)/6 Simplify 6*(0 + sqrt(7))**2 + (sqrt(7) + 1 + -2)**2. -2*sqrt(7) + 50 Simplify ((sqrt(11) + sqrt(176) - sqrt(11)) + 0 + sqrt(11))**2 - (sqrt(44) + 1)**2. -4*sqrt(11) + 230 Simplify (sqrt(704)*2)/(sqrt(4) + -1*sqrt(16)). -8*sqrt(11) Simplify (sqrt(27)/(sqrt(27)/sqrt(3)) + (-3 + (sqrt(3) - sqrt(21)/sqrt(7)) + sqrt(3))**2)*-6. -72 + 30*sqrt(3) Simplify sqrt(2299)*-1 + sqrt(2299) + -4. -4 Simplify (sqrt(1008)*-2*1 - sqrt(1008))*-1. 36*sqrt(7) Simplify ((sqrt(228)*4 - sqrt(228) - sqrt(228))*-6)/sqrt(12). -12*sqrt(19) Simplify -5 + (6*(sqrt(153) + sqrt(17)))**2 + (-2 + sqrt(833))**2. -28*sqrt(17) + 10624 Simplify ((sqrt(152) + 1*sqrt(152))*-4)/(sqrt(32)*1). -4*sqrt(19) Simplify (-3 + (sqrt(19) - sqrt(38)/sqrt(2)) + -1)**2. 16 Simplify (((sqrt(120) - sqrt(120)*1)/sqrt(4) + sqrt(30))/(sqrt(24)/(sqrt(16)/sqrt(4))))**2 + -3. 2 Simplify (sqrt(78) + -2*1*sqrt(78))/sqrt(6) + 3. -sqrt(13) + 3 Simplify ((4 + sqrt(99) + sqrt(99))*4)**2 + -2. 768*sqrt(11) + 6590 Simplify -5*(3*sqrt(135)/sqrt(3))/sqrt(9). -15*sqrt(5) Simplify ((sqrt(192)*-1 - sqrt(192)) + 2)**2. -64*sqrt(3) + 772 Simplify ((-1*sqrt(231) - sqrt(231) - sqrt(231))/sqrt(11))/sqrt(7). -3*sqrt(3) Simplify -3 + sqrt(28)*1 + 1*(sqrt(7) - 3*sqrt(7))**2. 2*sqrt(7) + 25 Simplify 3 + (1*sqrt(52)/sqrt(2))/sqrt(2). 3 + sqrt(13) Simplify sqrt(75)*-1 + 0. -5*sqrt(3) Simplify (sqrt(48) - sqrt(48)*-2)**2 + (sqrt(3) - (sqrt(12)/sqrt(4) + 2)). 430 Simplify sqrt(51)/((-2*sqrt(9))/sqrt(3)). -sqrt(17)/2 Simplify -4 + sqrt(33)/(sqrt(11) - (sqrt(11)*-1 - sqrt(11)))*4. -4 + 4*sqrt(3)/3 Simplify 2*sqrt(11)*-1*-4. 8*sqrt(11) Simplify (-2 + ((sqrt(204)*3 - sqrt(204) - sqrt(204))/sqrt(12) - sqrt(17))**2)*-5. 10 Simplify (4 + sqrt(156)/(sqrt(12)*-4))**2. -2*sqrt(13) + 269/16 Simplify (sqrt(35) - sqrt(70)/(sqrt(12)/sqrt(6)))/(sqrt(500) + sqrt(500)*1). 0 Simplify 5 + (-3*sqrt(132) - sqrt(132))/sqrt(12) + (-5*3*sqrt(11))**2. -4*sqrt(11) + 2480 Simplify -3 + -1 + sqrt(2448) + sqrt(2448) + sqrt(2448) + -4. -8 + 36*sqrt(17) Simplify (6*(sqrt(114)*-1 + sqrt(114)))/(5*sqrt(6)*-1). 0 Simplify sqrt(108) - ((sqrt(108) - (sqrt(108) + (-3 + (0 + sqrt(108) - sqrt(108)))**2)) + sqrt(108)) - 1*(sqrt(9)*-2)/sqrt(3). 2*sqrt(3) + 9 Simplify 5 + (sqrt(77)*2)/sqrt(11). 5 + 2*sqrt(7) Simplify ((sqrt(495)*1)/sqrt(11))**2 + -1. 44 Simplify -2*sqrt(7) + -5 + -1. -6 - 2*sqrt(7) Simplify -5 + 5*sqrt(72). -5 + 30*sqrt(2) Simplify 5*(sqrt(3)*1)**2 + -2 + 1 + -4. 10 Simplify -3 + (-2*sqrt(396) + sqrt(44))/sqrt(144). -3 - 5*sqrt(11)/6 Simplify ((sqrt(385)*1)/sqrt(11) + sqrt(35))/(2*sqrt(50
{ "pile_set_name": "DM Mathematics" }
2. Suppose 2*n + 2*i - 12 = 0, -2 = -3*n - 5*i + 20. Let g = n - 6. Determine a(g). -4 Suppose 3 = -3*m + 6. Let g be 5 - (-2 + 1 + m). Suppose g*r = -11 + 31. Let d(a) = a**3 - 4*a**2 - 2*a + 3. Determine d(r). -5 Let w(t) = -t**2 + 4*t - 2. Let n be w(3). Let c(j) = -j**2. Let y be c(n). Let r(x) = -x**3 + x + 1. Calculate r(y). 1 Let o(n) = 5 - 3 - 4 - 2*n + 0. Give o(-4). 6 Let u be 1*(2 - (-1)/1). Suppose 0 = 4*l - 3*l - u. Let b(o) = l*o - o + 5 - o. Calculate b(0). 5 Let n(w) = -w + 6. Let s = 8 + -8. Suppose -p = c - 5, s = 4*c + p + p - 18. Suppose 2*j + c*b - 8 = 0, 0*b - 8 = -5*j - 4*b. Give n(j). 6 Let g(m) be the first derivative of m**4/12 + 2*m**3/3 + 3*m**2/2 - 2*m - 1. Let b(d) be the first derivative of g(d). Calculate b(-3). 0 Suppose -4*h = -2*c + 14, 0 = -2*c + 2*h - 7*h - 31. Let n(s) = s**3 + 3*s**2 - 2*s - 4. What is n(c)? 2 Let d(n) = n. Let k = 2 - 0. Let v be k + -3 + 1 + -4. Give d(v). -4 Let x(d) = 2*d + 5*d**2 - 2*d**3 + 6 + 3*d**3 - 2*d**3 - 2. Calculate x(5). 14 Let s(y) = y**2 + y + 4. Suppose -5*m - 17 = w + 2*w, -4*w + 5*m - 11 = 0. Give s(w). 16 Let l(c) be the first derivative of c**3/3 - 3*c**2 - c - 8. Calculate l(7). 6 Let m(n) be the second derivative of n**4/6 + 7*n**3/6 - n. Suppose 21 + 4 = -f - 4*r, -10 = 2*r. Give m(f). 15 Let f be 1 + (-3 - -6)*-1. Let n be 1 + f + 2 + 0. Let o(p) be the first derivative of 4*p**3/3 - p**2 + p + 1. What is o(n)? 3 Let s(p) = p**2 - p. Let r be s(-1). Let b(o) = r*o + 1 + 2*o**2 - 2*o. Let m be -1 + -3 - (8 - 8 - 6). Give b(m). 9 Suppose -l + 0*l + 7 = -v, -2*v = l + 5. Let d(r) = 3*r**3 + 5*r**2 + 4*r + 1. Let u(a) = a**3 + a. Let g(k) = -d(k) + 2*u(k). What is g(v)? -9 Let n = -1/29 + 31/58. Let q(w) be the second derivative of -n*w**2 + 0 + w**3 + 2*w. Determine q(-1). -7 Let i(a) = -2*a + 3. Let v be (-111)/(-15) + (-6)/(-10). Let w be ((-2)/4)/((-1)/v). Calculate i(w). -5 Let x(l) = -l**2 - l. Let q(w) = -w**3 - w**2 + w + 1. Let a be q(-1). Give x(a). 0 Let m(o) = -o**3 - 5*o**2 - 5*o + 4. Let p = -20 + 28. Let q(b) = -b**3 + 7*b**2 + 8*b - 4. Let t be q(p). Determine m(t). 8 Let l(w) = -1. Let n(k) = -2*k**2 - 4*k - 7. Let d(y) = -5*l(y) + n(y). Suppose -b - b + 23 = -5*f, 4*f + 4 = -2*b. Calculate d(f). -8 Suppose 6*z + 16 = 10*z. Let d be 4/z*(2 - -1). Let a(y) = y**2 + y - 1. Let h(o) = -2*o**2 - 7*o + 3. Let f(m) = -3*a(m) - h(m). Determine f(d). 3 Let l = 3 + -5. Suppose 2*r + 2*o = 8, 4*o = r + o + 16. Let b(k) = k + 1. Let g(z) = 11*z + 9. Let c(y) = r*g(y) + 6*b(y). Determine c(l). 7 Let m(s) = s - 1. Let c be m(5). Suppose -2*k = c*f, -5*f + 4*k = -k. Let g(u) = u**2. Calculate g(f). 0 Let b(s) = 2637 - 2637 + s. Calculate b(-5). -5 Let v(j) = -4*j + 3. Let t(z) = -z - 1. Let y(w) = -5*t(w) + v(w). Give y(-8). 0 Let x(n) = n**2 - 5*n + 5. Suppose 2*v - 5*w + 10 = -v, 0 = 5*v + 4*w - 45. Suppose -v*c - 6 = 3*s + 6, 0 = 2*c + 5*s + 1. Let y = c - -7. What is x(y)? 1 Let g(k) = k - 1. Let d(r) = -r + 1. Suppose 6*s - 4*s = 0. Suppose s = -c + 3*c - 6. Let u(z) = c*d(z) + 2*g(z). What is u(-1)? 2 Let i(x) = 2*x + 41. Let t be i(-22). Let n(s) = s**2 - s + 1. Let k(q) = -q. Let r(h) = 4*k(h) - n(h). Calculate r(t). -1 Let y(j) = j**3 + 13*j**2 + 11*j - 8. Suppose 7*o + 60 = 2*o. What is y(o)? 4 Let j(g) = -2*g + 4*g - g + 1. Suppose 4*r - 7*r = -w - 3, 0 = -r + w - 1. Suppose 5*n = 10, 2*p - 3 = r*n - 15. Give j(p). -3 Let t(p) be the third derivative of 1/8*p**4 + 0 + 0*p + p**2 - p**3. Calculate t(4). 6 Let d(f) = f**3 + 5*f**2 + 2*f + 3. Let v = -4 - 1. Let n = 1 + v. Calculate d(n). 11 Let l(f) be the first derivative of f**6/120 + f**5/10 - f**4/24 - 7*f**3/6 + 5*f**2/2 + 6. Let b(n) be the second derivative of l(n). Determine b(-6). -1 Let f(u) = -u**2 + 2. Let l be f(0). Let z = -1 + l. Let x(r) = 2*r**3 - r**2 - 2 - 9*r**3 + 1 + r**3 + 2*r. Calculate x(z). -6 Let k(s) be the third derivative of s**6/120 - s**5/20 - s**4/8 - 2*s**3/3 - 17*s**2. Let i be 2*5/2 + -1. What is k(i)? 0 Let t(x) = 34*x**3 + 6*x + 5*x**2 - 58*x**3 + 25*x**3. Suppose 0 = -u - 2*j - 2, -u - u - 9 = -j. What is t(u)? -8 Let n(x) = 6*x - 1. Let y(q) = -q**2 + 4*q. Let h be y(3). Let t be 3/(3*h/9). Let m = t + -2. Calculate n(m). 5 Let b be 112/(-49) - 2/(-7). Let f be (5/(-3))/(b/6). Let o(a) = a - f + 3*a + 1. Determine o(3). 8 Suppose 4 = 6*h - 8*h. Let s(v) = -2*v + 1. Give s(h). 5 Let n(r) = -21*r**2 + 6*r + 9 + 0*r + 34*r**2 - 14*r**2. Determine n(7). 2 Let x be ((-3)/(-2))/(1/2). Let n(z) = -z**3 + 2*z**2 - 1. Let c be n(1). Let f(d) = -3 + 0*d**2 - 2*d + c*d**2 + d**2. Calculate f(x). 0 Let i be -4*(3 + 28/(-8)). Let k(g) = -3 + 2*g**2 + 2 + 0*g**2. Determine k(i). 7 Let i(o) = o - 1. Suppose -r = -3*r + 2. Let p(t) = t**3 - 2*t**2 + 7*t - 7. Let n(d) = r*p(d) - 5*i(d). Suppose v + 0 = 2. What is n(v)? 2 Suppose -4*y = 0, -5*y - 25 = -0*l - 5*l. Let b(d) = -3*d**2 - 3*d + 9*d - 3*d**2 - 2 + d**3. Calculate b(l). 3 Let x = 5 - 9. Let c = 5 + x. Let g = -4 + c. Let s(w) = w**2 + 4*w. What is s(g)? -3 Let m(o) be the first derivative of o**4/24 + 11*o**3/6 + 3*o**2/2 + 5. Let q(y) be the second derivative of m(y). Let a = -12 - -7. Give q(a). 6 Let m(o) = 5*o. Let g(q) = -q - 2. Let c be g(-6). Suppose 2*z + 22 = c*t, -t + 3*z + 29 = 4*t. Suppose -i + s - t = 0, 4*i + 5*s - 24 = 5*i. What is m(i)? 5 Let h(l) = 2*l**3 - 3*l**2 + 2*l + 7. Let y be 1 - 0 - (-1 + -5). Let z(g) = 2*g**3 - 2*g**2 + 2*g + 6. Let f(w) = y*z(w) - 6*h(w). What is f(-2)? -4 Suppose 3*c + 6 + 30 = 0. Let x be (-7)/(-4) + (-3)/c. Let s(l) = -l. Determine s(x). -2 Let x(u) = -u**2 + 4*u - 1. Suppose 8 + 8 = 4*m. Suppose -3*d + 3*b = -18, -3*b + 1 - m = 0. What is x(d)? -6 Let d(v) = -v - 11. Let k be d(-10). Let h(w) = -6*w + 4*w**2 - 1 + 2*w**2 + 4*w. Calculate h(k). 7 Let q = 2 + -2. Let m = -1 + q. Let z(a) = 2*a**2 + 2*a + 1. What is z(m)? 1 Let h(n) be the third derivative of 0 + 0*n - 1/6*n**3 + 6*n**2 - 1/8*n**4. Calculate h(4). -13 Let g(u) = 14*u**2 - 5*u + 6. Let k(o) = 14*o**2 - 4*o + 5. Let d(z) = 6*g(z) - 7*k(z). Give d(1). -15 Suppose -13 = x - 3. Let k = -15 - x. Let p(r) = -4*r**2 + 3*r**3 + 3 - 2*r**3 + 0*r**3 - 2*r**3 + 6*r. What is p(k)? -2 Let g(o) = 0 + 0 - 1 + 8*o. Let l be (-4 - (-3 + 3)) + 5. Give g(l). 7 Let p(j) = j - 1. Let f(d) = -d**2 + 2*d - 6. Let s(k) = f(k) - 4*p(k). Suppose -22*g - 6 = -23*g. Suppose 2*w - g*w - 8 = 0. Calculate s(w). -2 Let f = 13 - 19. Let x = f + -3. Let a(h) = -5*h**3 - 11*h**2 - 17*h + 3. Let r(l) = l**3 + 3*l**2 + 4*l - 1. Let u(c) = x*r(c) - 2*a(c). Determine u(5). -7 Let y(h) = -h**3 + 5*h**2 - 6*h + 2. Let c(o) = -3*o - 9. Let n be c(-6). Let p = -6 + n. Suppose -4*m + 8 = -2*f, 0*f + p*f - 5*m + 8 = 0. Calculate y(f). -6 Let k = 5 - 5. Let q = k + -20. Let l be q/(-16)*(4 + 0). Let d(p) = -p - 2. What is d(l)? -7 Let q = 18 - 17. Let b = q - 0. Let a(n) = -13*n**2 + n - 1. Give a(b). -13 Let i be (-4 + 4)/(-2 + 3 + -2). Let g(z) = -z**2 + z + 1. Calculate g(i). 1 Let j(i) = -2*i**2 + 2*i + 9. Let w(f) = -f**2 + 1. Let u(h) = -j(h) + 3*w(h). Calculate u(-5). -21 Let h(s) be the first derivative of s**4/4 - s**3/3 - s + 3. Calculate h(2). 3 Let c(p) = -p**2 + 3*p + 1. Let a(x) = 4*x**2 + 2*x - 1. Let q be a(1). Suppose -q*o + o = -16. Suppose 2*g + 0 = o. Give c(g). 3 Let p(h) = -h - 3. Let n be p(-5). Suppose 2*q = -0 - n. Let l(u) = 5*u**3 - u**2 - 2*u - 1. Give l(q). -5 Let n(z) be the second derivative of -z**6/240 + z**5/20 - z**4/4 - 3*z. Let f(l) be the third derivative of n(l). Determine f(4). -6 Let q(s) = -s**2 + 7*s + 3. Suppose 5 + 11 = 2*d. Give q(d). -5 Suppose 0 = 72*h - 70*h + 14. Let o(p) = p**3 + 7*p**2 - 2*p - 10. Calculate o(h). 4 Suppose -4*n + 5 = -11. Suppose -n*m + 6*j - 2*j + 8 = 0, -4 = -2*m - 4*j. Let t(b) = b**2 - 3*b + 1. Calculate t(m). -1 Let c(l) be the first derivative of -l**3/3 + l**2/2 - 3. Let t be 4/(-18) - 6/(-27). What is c(t)? 0 Let q(b) = b + 1. Let f(w) be the first derivative of 7*w**2/2 + 7*w - 1. Let h(t) = -f(t) + 5*q(t). Let r be (2 + -3)*2 - 1. Calculate h(r). 4 Let u(p) = -9*p**3 + 6*p**2 + p + 11. Let n(l) = 4*l**3 - 3*l**2 - 5. Let a(k) = 7*n(k) + 3*u(k). What is a(3)? 7 Let d be (-1 - -4) + -4 - -8. Let z(h) = 0*h**2 + 6 - d*h - 2*h + 2*h + h**2. Give z(4). -6 Let w(r) = -5*r + 97. Let
{ "pile_set_name": "DM Mathematics" }
- 17 + 1854*o - 15 - 8400*o to t*o + z and give t. -6546 Rearrange (21 - 21 + 8*w)*(97 + 300 - 44 + 451) to n*w + u and give n. 6432 Rearrange (17 - 21 + 20)*(-n**2 - n**4 + n**2) + 22*n**4 + 63*n**4 + 3*n**4 to o*n**2 + h*n**4 + i*n**3 + b + v*n and give h. 72 Express -7298 - 8343 - 2*u + 16530 in the form d + a*u and give d. 889 Rearrange (3*k - 3*k - 3*k**2)*(2 - 2*k - 2) + (141*k**2 - 135*k**2 + 96 + 756)*(-5*k - 2*k + 5*k) to the form o*k**3 + s + r*k**2 + g*k and give g. -1704 Rearrange (1 + 2 - 1)*(-10411*p**2 + 5640*p**2 + 5168*p**2) + 0*p**2 - 2*p**2 + p**2 + (2 - 2*p - 2)*(-2*p - 4*p + 3*p) to the form w*p**2 + i + k*p and give w. 799 Express -2*z**2 + 110*z - 124*z - 13*z**3 + 2 + 15*z as i + y*z + n*z**2 + x*z**3 and give i. 2 Express 3*w**3 + 41*w**4 - 4*w - 41 + 9 + 31 + 4*w + 2*w**2 as u*w**3 + a*w**2 + o*w**4 + z*w + c and give a. 2 Rearrange 2173*j - 6528*j + 2181*j - j**3 + 2173*j + 4*j**4 - 13*j**2 + 4 - 7*j**3 to f*j + s*j**2 + i + r*j**3 + u*j**4 and give f. -1 Express -11394*c**2 - 5009 + 5009 as q + u*c**2 + f*c and give u. -11394 Express 3*q**2 + 124 - 113 + 0*q**2 - 4*q - 4*q**2 + (-3 + 3 + 2*q)*(-3*q - 6 + 6) + 0*q**2 + q**2 - 2*q**2 as m*q + i*q**2 + l and give i. -8 Rearrange -944*k + 177*k + 253*k + 139*k + 151*k to the form y + x*k and give y. 0 Rearrange (-6*g + 0*g + g)*(g - g + 5*g**2) + 44*g**3 - 38*g**3 + 0 - 2 to v*g + l + m*g**2 + d*g**3 and give l. -2 Rearrange 0*u - 4127 - 2340 + u + 1838 to n + i*u and give n. -4629 Rearrange 575419 - 287644 + 4*l - 287595 to the form z + g*l and give z. 180 Express 2926 - 8781 + 9637*i + 2932 + 2923 as k + h*i and give h. 9637 Rearrange 57*a**2 - 26*a**2 + 22*a**2 + 5*a**3 + 2*a**4 - 2 - a to the form n*a + x + g*a**4 + z*a**2 + y*a**3 and give x. -2 Rearrange ((-2*q + q + 0*q)*(1 - 1 + 3) + 6*q + 20*q + 5*q)*(2*q**2 - 2 + 2) to d*q**3 + t*q**2 + p*q + s and give d. 56 Rearrange 8*d + 2 + 11*d - 863*d**2 + 8*d + d**3 + 860*d**2 to the form x*d**3 + f*d**2 + h + v*d and give f. -3 Rearrange 9738308*w - 9737665*w + 0 - 2*w**2 + 0 to the form x + r*w + z*w**2 and give z. -2 Express (160*g - 369*g - 487*g)*(1 - 2 - 3) as i + a*g and give a. 2784 Rearrange 7 - 5*p**2 + 51*p + 4*p**3 - 19 + 21 - 4*p**3 + p**3 to the form f*p + v + n*p**2 + w*p**3 and give f. 51 Express 17*z + 7*z - 32 + z - 4*z as y + o*z and give y. -32 Express (-3 + 1 + 1)*(-1 + 0 + 0 + (-1 + 1 - 2)*(2 + 1 - 1))*(-3 + 3 - 5*u)*(-26*u - 2*u - 103*u) in the form t*u**2 + l*u + v and give t. 3275 Rearrange (6*g - 3 + 3)*(-1 - 1 - 1)*(-12*g - g + 5*g + (-5 + 25*g + 5)*(-5 + 1 + 2)) to the form o*g**2 + u + c*g and give o. 1044 Express -2*k**3 - 8*k**2 + 31*k**4 - 4*k**2 + 0*k**2 + 10*k**3 - 30*k**4 as q*k + r*k**4 + u*k**3 + v*k**2 + t and give v. -12 Express (4251*q - 3848*q + 2550*q)*(-2 + q**2 + 2) as y*q**3 + k*q + l + i*q**2 and give y. 2953 Rearrange 385 - 1377*y - 3*y**2 + 5*y**2 + 0*y**2 + 1380*y to the form q*y + p*y**2 + r and give q. 3 Rearrange (-4 + 1 + 7)*(-7*r - 3*r - 19*r)*(-3 + 5 - 4) to the form l*r + p and give l. 232 Express -397*y + 307*y + 1458*y + 1156*y - 222*y as n*y + b and give n. 2302 Express (2*m + 1 - 1)*(-2 + 2 + 4) + 12 - 64 - 15 + m as c + u*m and give c. -67 Express -o**2 + 1543*o**3 + 1546*o**3 - 3103*o**3 - 25 in the form d*o**2 + n + s*o**3 + b*o and give n. -25 Rearrange (-7*s - 9*s + 4*s)*(208*s + 174*s + 807*s) to the form q + b*s + x*s**2 and give x. -14268 Express ((3 - 2 - 2)*(-2 + 2 + 1) - 2 + 0 + 3 - 3 + 3 + 3)*(560 + 5345*g - 257 - 303) in the form s*g + j and give s. 16035 Rearrange (-2*m**3 + 0*m**3 + 3*m**3)*(96206 - 96206 - 12026*m) to f*m**4 + p*m**3 + w + v*m**2 + g*m and give f. -12026 Rearrange 0 - 50*n - 7 - 4 + 26 - 6 to the form x + u*n and give x. 9 Rearrange (-52*r - 43 + 43)*((-1 + 0 + 0)*(4 - 4 - 13) + 2 - 3 + 0) to k + t*r and give t. -624 Express -y**3 + 62*y**2 + 68*y**2 - 109*y + 57*y**2 - 227*y**2 + 66*y**2 in the form p*y + t*y**2 + r*y**3 + v and give t. 26 Express -2*d**3 - 14*d**3 - d**3 + (-d**2 - 3 + 3)*(65*d - 196*d - 103*d) as b + n*d**3 + g*d**2 + w*d and give n. 217 Rearrange -692*i**2 + 1896*i**3 - 956*i**3 - 170*i**2 - 944*i**3 to the form h*i**2 + t*i + j*i**3 + w and give j. -4 Rearrange -14028*j**2 + 1828589*j - 914296*j - 914295*j to g*j**2 + v*j + d and give v. -2 Express 23 + 2*l + 8 - 45 + 8 + 2*l**2 + 4 - 137*l**4 in the form b*l**3 + p + s*l**4 + v*l**2 + j*l and give j. 2 Express -2245 - 1405 - 753*t**2 - 1058 + 750*t**2 as s + b*t**2 + p*t and give b. -3 Rearrange -w**2 + 20*w**4 + w**2 - 10 + 994239*w - 994240*w to o*w**3 + q*w + f*w**4 + y + h*w**2 and give f. 20 Rearrange -2*b**2 + 26*b + 31*b + 35*b + 49*b - 181*b to the form p + n*b**2 + h*b and give h. -40 Express 30*p + 40 - 71*p + 2*p**4 + 39*p + 998 + 3*p**2 as l*p**3 + u*p**2 + i + o*p**4 + b*p and give u. 3 Rearrange -1159 - 123*p**2 + 318*p**2 - 197*p**2 to g*p**2 + t*p + h and give g. -2 Express -3*x**3 - 290*x**2 - 34*x**2 - x**3 - 249*x**2 - 2*x as q + d*x**3 + o*x**2 + a*x and give d. -4 Rearrange 9*t**2 + 6*t + 33*t**4 - 32*t**4 - 13837 + 13832 to the form m*t**4 + c + r*t + s*t**2 + y*t**3 and give m. 1 Express -1834*p - 101*p**3 - 10 - 12 + 100*p**3 + 22 as t*p**2 + r*p + b + o*p**3 and give r. -1834 Rearrange 2 - 2*q**2 + 261488*q**3 - 31*q**2 - 261486*q**3 to the form y*q**3 + i*q + m + s*q**2 and give m. 2 Rearrange 1373 + 6485*j**3 + j - 6484*j**3 - 454 + (-j + 0*j + 2*j)*(-j + j - 3*j**2) to the form o + q*j**3 + l*j**2 + x*j and give o. 919 Express -p**2 + 3 - 30*p**4 - 18*p**4 + 84*p**4 - 28*p**4 - 2*p**3 in the form l*p**4 + v*p + u*p**2 + i*p**3 + o and give o. 3 Express 67*w**2 - 68*w**2 - 5*w - 26 + 3*w**2 as y*w**2 + n*w + u and give y. 2 Express -544 + 1095 - 551 + 4276*y as q + p*y and give p. 4276 Express -2*m**3 + 7*m**3 - 2 - m - 4*m**3 + 3*m**2 + 2*m**3 - m - 2*m**4 in the form l + h*m**3 + q*m + d*m**2 + b*m**4 and give b. -2 Rearrange (6*n**3 - 3*n**3 - n**3)*(3 - 5 + 3 + 5 - 4 + 0 + (2 + 2 - 3)*(-2 + 3 + 2))*(-279 + 279 - 3*n) to l*n + f + k*n**2 + x*n**4 + g*n**3 and give x. -30 Express 1595*m + 302*m + 1014*m - 221*m - 404*m in the form v + k*m and give v. 0 Express -14 - 2*q + q**4 - 13 + 5*q**4 + 244*q**3 - 244*q**3 as g + h*q + s*q**4 + f*q**3 + c*q**2 and give s. 6 Express -2*h - 3*h + 2*h + (0 + 4 - 3)*(2*h - h + h) + 0 + 2*h + 0 - 2*h + h + 2*h + 0 + 0 - h + (3*h - 4*h + 2*h)*(-6 + 0 - 4) in the form o*h + j and give o. -9 Express (-3 + 5 + 0)*(-2*j - j - 2*j) + 100*j + 461*j - 37*j in the form u*j + t and give u. 514 Rearrange (l - l + 4*l**2)*(-5110 + 5110 + 323*l)*(1 + 4 + 0) to the form p*l**2 + y*l**3 + j*l + g and give g. 0 Rearrange -25700*o**2 + 12849*o**2 + 12850*o**2 + 127*o**3 - 4*o to z*o**3 + h*o**2 + q*o + p and give z. 127 Rearrange -3*a - 187*a**3 + a**2 - 3 + 280*a**3 - 8*a**3 + 4*a**4 to t*a + c*a**2 + f + v*a**3 + n*a**4 and give v. 85 Express 1 - 52*x**2 - 4 - 14*x**2 - 17*x**2 in the form r*x + p*x**2 + h and give p. -83 Rearrange 3 + c**4 - 18*c**3 - c**2 + 0 + c + 8*c**3 + 9*c**3 to the form m + p*c + z*c**3 + r*c**4 + a*c**2 and give a. -1 Rearrange (-123*k - 60*k - 19*k + (4 - 1 - 1)*(-4 + 4 - 2*k))*(-17 + 2*k + 17)*(-12*k + 2*k + 5*k) to the form q + d*k**3 + g*k + j*k**2 and give d. 2060 Rearrange 7837*y**2 - 210310 + 8720*y**2 + 210311 to s*y + f + g*y**2 and give f. 1 Rearrange -10*b**2 + 354837 - b - 6*b**4 - 2*b**3 + 11*b**2 - 354852 to the form o*b**2 + p*b + r + v*b**4 + m*b**3 and give p. -1 Rearrange (-29*l**3 - 9*l**3 + 8*l**3)*(-5*l + 3 + 22*l + 82*l - 11*l) to the form d*l**2 + w + m*l + o*l**4 + j*l**3 and give j. -90 Rearrange -15*b**3 + 4859*b + 3*b**4 + 26 + b**2 - 4860*b + 14*b**3 to r*b**2 + s*b**4 + f + y*b**3 + v*b and give f. 26 Express (-329 + 332 + 945*i - 798*i)*(-3*i - 2*i + 4*i) in the form g*i**2 + x*i + o and give x. -3 Express ((5 - 3 - 1)*(6*b - 3*b - 2*b) + 23*b + 6 - 6)*(3 - 3 - b)*(-21*b - 6*b + 2*b) as i*b + d + f*b**3 + v*b**2 and give i. 0 Express 8 - 21519*l + 18027*l - 8 in the form f + x*l and give x. -3492 Express 223047*y - y**2 - 223047*y + 3*y**3 - 1 + (1 - 3 - 3)*(-2*y**3 + y**3 + 0*y**3) in the form d + u*y + a*y**2 + z*y**3 and give u. 0 Express 4056*o**2 - 5 + 954*o**2 - 9 + 14 as t*o**2 + s*o + a and give t. 5010 Rearrange 38*a**2 + 60*a**2 + 824*a
{ "pile_set_name": "DM Mathematics" }
x Let z be (-6)/(2/(-1)) + 1. Let g = z - 6. Let q be -1 + (0 - 7/(-2)). Sort 0, q, g. g, 0, q Suppose 2*i - 4 = -12. Sort -2, -3, 5, i. i, -3, -2, 5 Let q = 1.57 - -0.43. Sort -5, q, 1 in descending order. q, 1, -5 Let v(l) = l**2 + l - 14. Let t be v(-5). Sort t, 5, 3, -3. -3, 3, 5, t Let p = 128 - 638/5. Put -0.3, p, 1 in decreasing order. 1, p, -0.3 Let r = 3 - -2. Sort r, 1, -1 in ascending order. -1, 1, r Let o be 7/5 - 20/50. Put 3, 0, o, 1/5 in increasing order. 0, 1/5, o, 3 Let l(x) = 5*x - x - 3*x - 9. Let h be l(8). Let w be 3/2 - (-8)/(-16). Put w, 2, h in decreasing order. 2, w, h Let m = 3.0169 - 0.0169. Let b = 3 - 3.1. Sort b, m, 1/5 in descending order. m, 1/5, b Let n = -21 - -24. Suppose g = n*g. Sort g, 5, -3 in descending order. 5, g, -3 Let x be (2 + 0/(-2))*-2. Suppose 0*h = -3*b + 4*h + 12, -3*b = 5*h - 12. Let m(i) = i**3 - i**2 + 2. Let v be m(0). Sort v, b, x in descending order. b, v, x Let i(j) = -4*j**3 - j**2 + j - 1. Let u be i(1). Let f = -15 - -10. Let h(a) = 3*a + 11. Let r be h(f). Sort r, u, 4 in increasing order. u, r, 4 Let w(j) = -j + 24. Let r be w(10). Let i = 10 - r. Sort -0.5, i, -3 in descending order. -0.5, -3, i Let c(z) = -3*z - 21. Let q be c(-6). Put -2, -0.4, q in descending order. -0.4, -2, q Let s = 7 + -6. Let w be 5 + (s + -1)*-1. Let y = w - 3. Sort 3, -2, y. -2, y, 3 Let d = -14.2 + 14. Sort -3, -2/19, d in ascending order. -3, d, -2/19 Let b = -0.07 + -5.93. Let s = b + 5. Let k = 2 + s. Put k, -0.5, 2 in decreasing order. 2, k, -0.5 Let y(x) = 2*x**2 + 39*x - 21. Let i be y(-20). Let b = 5 - 9. Let d be (-12)/(-7) - b/14. Sort 3, d, i in ascending order. i, d, 3 Let w = -5 - -15/4. Let b = 0.4 + 0.1. Sort w, 1, b in decreasing order. 1, b, w Suppose -5*u + 23 - 3 = 0. Suppose -3*o = -k + 11, 3*o + 9 = -0*k + 3*k. Sort u, o, 0 in ascending order. o, 0, u Suppose -24 = 3*n + 6. Let j = n + 5. Sort j, -2, 1 in ascending order. j, -2, 1 Let z = -7.12 + 0.12. Sort z, 0.5, -1. z, -1, 0.5 Let s = -0.09 - -0.29. Let j = 1332/7 + -190. Suppose 5*a + 5 = -3*w + 33, 0 = -4*a + 5*w + 15. Sort s, a, j. s, j, a Let z = -6 + 5.98. Let o = 0.28 - z. Let y = o + -5.3. Sort -1/7, y, 2/9. y, -1/7, 2/9 Suppose 2*n - 6*n = 12. Suppose -d - 12 = 2*d. Let b = d - -5. Sort n, b, 5 in decreasing order. 5, b, n Let k = -131 - -130.5. Sort -1, -2, 0.5, k in increasing order. -2, -1, k, 0.5 Let b = 2 - 4. Let u be (-4 - 2)/(-3) + b. Let r = 4 - -1. Put u, r, 1 in increasing order. u, 1, r Let p be 5/25 - 24/(-5). Sort -2, p, -8 in increasing order. -8, -2, p Suppose 0 = -4*c - 5*q - 28, -2*c = -7*c - 3*q - 22. Put c, -2/9, -1/10 in ascending order. c, -2/9, -1/10 Suppose 4*s = -0*p + p + 21, 5*p + 13 = -3*s. Let i(c) = -c**2 - 6*c + 1. Let m be i(-6). Put p, m, 3 in decreasing order. 3, m, p Suppose 3*q - 16 = -2*h, -3*h + 4*q - 2 = -9. Let o = 0.423 + -0.023. Sort -2, o, h in ascending order. -2, o, h Let b = 20 + -23. Put 15, 2, b, -2/13 in descending order. 15, 2, -2/13, b Let v = 6.8 + -1.8. Let k be (-6)/9 - 10/(-24). Sort -4/3, k, v in increasing order. -4/3, k, v Let l = -5 - -4.6. Let h = 67 + -69. Sort l, h, 0 in increasing order. h, l, 0 Let t(w) = -w + 12. Let y be 6/21 - 61/(-7). Let i be t(y). Sort 0, 4, i in decreasing order. 4, i, 0 Let k = 6 - 9. Sort -2, -5, 22, k. -5, k, -2, 22 Let k = -0.5 + 0.1. Put -0.8, -5, k in ascending order. -5, -0.8, k Suppose -f + 21 - 19 = 0. Sort f, 5, 3, -2. -2, f, 3, 5 Let t = 1150/7 - 164. Let o be (48/64)/((-6)/(-16)). Let m = 0.2 + 0.3. Sort m, t, o in ascending order. t, m, o Suppose -16*d + 2320 = -11*d. Let f be 84/d - (-2)/(-8). Put 4, f, -2 in descending order. 4, f, -2 Let n = -6.9452 + -0.0748. Let g = n - -0.02. Let w = g - -10. Sort -0.3, w, -5 in descending order. w, -0.3, -5 Let h = -0.085 - 0.315. Sort 9, h, 0.5, -3 in decreasing order. 9, 0.5, h, -3 Let j = -29.6 - -35. Let k = j - 1.4. Put 2, 0.4, k in descending order. k, 2, 0.4 Let u be 2*(0 + (-3)/2). Let x be 95/(-20) - 6/(-8). Sort x, u, 2 in decreasing order. 2, u, x Suppose 2*k + 128 = -4*g, 0*g + 5*g + 5*k = -160. Put g, -3, -1 in decreasing order. -1, -3, g Let o = -0.03 + 0.09. Let a be -1 - (1/3)/((-16)/36). Put a, o, 2 in descending order. 2, o, a Let v(y) = -2*y + 19. Let z be v(9). Sort z, -1, 10 in decreasing order. 10, z, -1 Let c(f) = -f**3 - 8*f**2 - 8*f - 9. Let k be c(-7). Suppose -2*g - 3*g = 0. Sort k, -5, g. -5, k, g Let j = 34 + -39. Sort 0, j, -4/3 in ascending order. j, -4/3, 0 Let t = 3 - 1. Suppose 0 = -2*v + 6 + t. Suppose -4 = m, -z - 8 = 2*z + 2*m. Put -2, z, v in ascending order. -2, z, v Let c = 0.69 + -0.39. Put c, -3, 3 in decreasing order. 3, c, -3 Let t(p) = p. Suppose 0*v + 8 = 2*v. Let x be t(v). Put 0, 2, x in increasing order. 0, 2, x Let l = 1.15 + -1. Let z = -0.05 - l. Put z, -2, 0.3 in ascending order. -2, z, 0.3 Let j = -3.42 + 0.42. Sort j, 2/9, -1/6 in decreasing order. 2/9, -1/6, j Suppose w = -3*w. Let c = -6 - -11. Let d = 0 - -3. Sort w, c, d in decreasing order. c, d, w Let c be 56/(-10) + (-12)/(-20). Let a = 0 - -1. Sort a, c, 3 in ascending order. c, a, 3 Suppose -5*z + 20 = 2*t + 5, 5*t + 35 = 2*z. Suppose 2*j - 3*m = -19, -7 = -z*j - 3*m - 2. Let w be j/(-5) - (-9)/15. Sort 4, -5, w in decreasing order. 4, w, -5 Suppose -2*o - 4*p + 30 = 0, -5*o = -6*o - 5*p + 27. Let z = -21 - -10. Let i = o + z. Put i, 5, -3 in increasing order. i, -3, 5 Let v = 3/193 - 594/965. Put 31, v, 2 in decreasing order. 31, 2, v Suppose -3 + 23 = 2*g - 4*i, 4*g - i = 26. Suppose -14 - g = -5*p. Suppose 3*z - 10 = -t + 2*t, -4*z + 12 = -t. Sort z, -5, p in increasing order. -5, z, p Let a = -14 - 2. Put -2/11, 1, a in decreasing order. 1, -2/11, a Let y be (-1)/(-3)*2*-12. Let r be 6/y*(-40)/105. Suppose 5*u - 1 = -11. Put u, r, 4 in decreasing order. 4, r, u Suppose 0 = -4*v + 2*v - 2. Put -3, 2, v in descending order. 2, v, -3 Suppose -o + 5 = 4*o. Sort -5, 0, o in increasing order. -5, 0, o Let i(k) = -3*k**2 - 3*k - 1. Let n be i(-1). Put 0.4, n, 0.3 in decreasing order. 0.4, 0.3, n Suppose a + 4*p = 22 - 0, -3*a = p - 11. Suppose -a*w - 7 = h, 5*w + 23 + 1 = 4*h. Put 3, -5, w in descending order. 3, w, -5 Let a = 2/5187 + 274871/103740. Let p = a + -3/20. Sort 0, 1/8, p in decreasing order. p, 1/8, 0 Suppose -12*a - 24 = -8*a + 2*q, a = -4*q + 1. Sort 4, a, 1, -4 in decreasing order. 4, 1, -4, a Let g = 31 + -30.6. Sort -1, g, -4 in decreasing order. g, -1, -4 Let j be (-3)/(36/(-10) - -3). Suppose 4*d + 17 = o, j*o - 3*o + 31 = -5*d. Suppose -4*g = -14 + 2, 2*f + 3*g = 11. Sort o, -2, f in descending order. f, -2, o Let k = 29 + -34. Let r = 11 + -7. Suppose 0 = r*h + 18 - 6. Sort k, h, -1/5. k, h, -1/5 Let c(b) = b**2 - 11*b + 5. Let z be c(10). Let r = 5 - -2. Put r, -4, z in descending order. r, -4, z Suppose 0 = 3*s - g - 8, -5*s = 5*g - 4*g - 16. Suppose 2 + 4 = 3*z. Let r = 0 - -1. Put r, s, z in descending order. s, z, r Let p be (-12)/(-18) - 10/(-3). Let y be 171/(-33) + (-4)/(-22). Put p, y, 1 in descending order. p, 1, y Let h(w) = -w + 7. Suppose -y = y - 6. Suppose 0 = 3*u + y - 15. Let p be h(u). Sort 0, -3, p in decreasing order. p, 0, -3 Let d = 1.1 + -1. Let b be (-96)/56 + 2/(-7). Sort d, b, -5 in decreasing order. d, b, -5 Let o(n) = 2*n**2 + 2*n - 3. Let x be o(2). Suppose 3*i + 0*i - x = 0. Let l = 0 - -4. Sort l, i, 1/5. 1/5, i, l Let u = -1.58 - -0.58. Sort -2/17, u, -0.1, -3. -3, u, -2/17, -0.1 Let x be 0 - ((-8)/(-6) + (-13)/39). Sort -26, 0, x in ascending order. -26, x, 0 Let b be -1*(3 + -4) - 8. Let q = 11 + b. Sort 5, q, -5 in descending order. 5, q, -5 Suppose -7*l = -12*l - 15. Let g be -1*4/2*1. Sort g, -5, l in decreasing order. g, l, -5 Let c = 21 + -32. Sort 3, c, 1 in decreasing order. 3, 1, c Suppose 0*r + 3*r = 72. Suppose -u + 2*q = 7, 0*u + 5*q - r = -4*u. Let y(z) = z + 7. Let x be y(-8). Sort x, -4, u in increasing order. -4, x, u Let m = 0.6 - 0.1. Let h(i) = i**3 - 3*i**2 - 9*i + 9. Let v be h(6). Let r be (-12)/v*3/2. Sort 1, m, r in descending order. 1, m, r Suppose 3*n - r - 3*r + 3 = 0, -6 = -3*n + r. Let u be 12/(-16) + (-30)/(-8). Let w be u/3*2*1. Put 5, w, n in ascending order. w, n, 5 Suppose 0 = -4*c + 2*j + 82, 5*c - 24 = 4*j + 80. Suppose k - 5*u + 0*u = -c, 0 = 5*u - 25. Put -5, k, 1 in increasin
{ "pile_set_name": "DM Mathematics" }
0 Divide -376194 by -1183. 318 18 divided by 713 18/713 Divide -1241406 by -2619. 474 What is 3304 divided by 20? 826/5 Divide -34005 by -34005. 1 Calculate -2193270 divided by -5. 438654 What is -99022 divided by 7? -14146 8932 divided by -11 -812 Divide -147335 by 2. -147335/2 -1001790 divided by -30 33393 1 divided by -8657 -1/8657 Calculate -149615 divided by -5. 29923 What is 8965 divided by 3? 8965/3 -119871 divided by 6309 -19 Calculate 63921 divided by 33. 1937 -25908 divided by 12954 -2 Divide -7 by -15044. 7/15044 Calculate -1857252 divided by -4. 464313 39620 divided by -1 -39620 Calculate 17 divided by 1594. 17/1594 Divide 66 by -790. -33/395 What is 541 divided by -165? -541/165 61432 divided by -7 -8776 What is 3225364 divided by -124? -26011 Calculate -5 divided by 340285. -1/68057 Calculate -1049 divided by -4. 1049/4 Divide -340 by -28. 85/7 -14695 divided by -4 14695/4 What is 25424 divided by 56? 454 -151732 divided by -6 75866/3 Divide -435936 by -96. 4541 Divide -87 by -334. 87/334 -375052 divided by -1 375052 Divide 0 by -21659. 0 What is 11484 divided by 1? 11484 -885 divided by -22 885/22 What is 646089 divided by -646089? -1 What is -92890 divided by 5? -18578 Divide 64440 by -24. -2685 What is -307 divided by 84? -307/84 Divide 922005 by -3. -307335 4 divided by 71404 1/17851 What is 17 divided by -2202? -17/2202 Calculate 5798889 divided by -1. -5798889 What is 17 divided by -2560? -17/2560 6208428 divided by -6 -1034738 Calculate 31 divided by -4690. -31/4690 Calculate -15847 divided by 8. -15847/8 What is 816368 divided by -204092? -4 -4 divided by 21598 -2/10799 What is 2064510 divided by 344085? 6 Divide 2849960 by 2. 1424980 Divide 1341308 by -58. -23126 Calculate 820789 divided by -3. -820789/3 Divide -329230 by 65846. -5 1161755 divided by 12229 95 Divide 42709 by -13. -42709/13 Calculate -129618 divided by -6. 21603 Calculate -5 divided by 109780. -1/21956 Divide 93410 by -2. -46705 -283229 divided by -283229 1 What is -551124 divided by 1701? -324 Calculate -1111049 divided by 2. -1111049/2 What is 16740 divided by 9? 1860 3124520 divided by 223180 14 Divide 18734 by 9367. 2 Calculate -4 divided by -3817. 4/3817 Divide 5 by -7966. -5/7966 29 divided by -3250 -29/3250 Calculate -196232 divided by -152. 1291 Divide -8274 by 1182. -7 Calculate 1334 divided by -777. -1334/777 152 divided by -2218 -76/1109 What is -101322 divided by 117? -866 What is -232715 divided by 61? -3815 Calculate -434642 divided by -1. 434642 4 divided by 23529 4/23529 Calculate -50995 divided by -5. 10199 Divide 2073930 by 219. 9470 Calculate -1264496 divided by 316124. -4 278040 divided by 280 993 -1 divided by -20137 1/20137 Divide 171 by 1176. 57/392 Calculate 4195050 divided by 27967. 150 Calculate 2 divided by 20180. 1/10090 Calculate 4345 divided by -14. -4345/14 What is -2 divided by -37172? 1/18586 Divide 62822 by -62822. -1 Divide 3106 by 355. 3106/355 Calculate -597312 divided by 2928. -204 Divide 1504923 by 3. 501641 What is -4106 divided by -2? 2053 Divide 869482 by -8126. -107 Divide -1189320 by -594660. 2 -703 divided by 12 -703/12 Calculate 4 divided by 54935. 4/54935 Divide -22560 by 5640. -4 What is 304666 divided by -5? -304666/5 1339842 divided by 511 2622 320856 divided by -116 -2766 2923929 divided by -51297 -57 -88 divided by 4983 -8/453 What is 1846028 divided by -461507? -4 Calculate -5704 divided by 46. -124 What is -2 divided by 7688? -1/3844 2 divided by -107955 -2/107955 5 divided by -1743 -5/1743 -17877 divided by -19 17877/19 61190 divided by -145 -422 Divide -12859 by 48. -12859/48 What is -5 divided by -5995? 1/1199 -12546 divided by -3 4182 Calculate -443044 divided by 2. -221522 1908 divided by 636 3 Calculate -3867110 divided by -302. 12805 -40768 divided by -5 40768/5 Divide -21526 by -6. 10763/3 5 divided by 7023 5/7023 What is 40050 divided by 6675? 6 What is 773880 divided by -6? -128980 What is 1110 divided by 3? 370 Calculate -2 divided by -2835. 2/2835 53361 divided by 49 1089 -146 divided by -584 1/4 Calculate 132684 divided by -4. -33171 Calculate 4 divided by -520233. -4/520233 Divide 21320 by 5330. 4 Calculate 85530 divided by -6. -14255 -8442 divided by 6 -1407 What is -2231844 divided by 557961? -4 Divide -37383 by 51. -733 Calculate 23581 divided by 23581. 1 What is -1667886 divided by -7513? 222 Calculate 0 divided by -103917. 0 Calculate 62765 divided by -12553. -5 Calculate 57560 divided by 11512. 5 Divide 235773 by 4623. 51 Calculate 300320 divided by -3754. -80 Calculate 583 divided by 528. 53/48 Calculate 12627 divided by 183. 69 Calculate -2525 divided by -757. 2525/757 Calculate -185709 divided by 185709. -1 Divide 212332 by -53083. -4 What is -5837250 divided by -430? 13575 0 divided by -314113 0 Divide 1488 by 2104. 186/263 What is -4009122 divided by -102798? 39 What is -25940 divided by 20? -1297 Calculate -4 divided by 8250. -2/4125 Divide 0 by 378471. 0 113 divided by -84 -113/84 511196 divided by -2 -255598 Calculate -3427285 divided by 1. -3427285 Divide 3104816 by -26. -119416 Divide 28380 by -660. -43 -1592 divided by 13 -1592/13 -63 divided by -67 63/67 Calculate 231287 divided by -893. -259 What is 0 divided by 5641? 0 Divide 586451 by -67. -8753 Calculate -5 divided by -20626. 5/20626 What is 7242 divided by 213? 34 What is -2765 divided by -79? 35 Calculate -1913 divided by 267. -1913/267 What is -40024 divided by -4? 10006 What is 0 divided by 86541? 0 Calculate 9280 divided by -1. -9280 0 divided by -6396 0 Divide 1201680 by -9. -133520 Divide 996798 by -3. -332266 -24145 divided by 24145 -1 What is -204912 divided by 4269? -48 Divide -2 by 221648. -1/110824 Calculate 18877 divided by 1. 18877 -4011156 divided by 1206 -3326 Calculate -128758 divided by -18394. 7 What is 3 divided by 387874? 3/387874 Divide -5 by -9480. 1/1896 Calculate -188595 divided by 1485. -127 -44982 divided by -2 22491 7 divided by -244785 -7/244785 72092 divided by -1 -72092 Calculate 104212 divided by -2. -52106 What is -1050714 divided by -7? 150102 What is 3270094 divided by 1? 3270094 23544 divided by 11772 2 -1405032 divided by -12 117086 Divide -57 by 698. -57/698 -31152 divided by 3 -10384 Divide -49815 by 9963. -5 What is 414177 divided by -138059? -3 Divide -13173 by 9. -4391/3 Calculate 15 divided by 2184. 5/728 What is 16440 divided by -92? -4110/23 What is 43 divided by 61? 43/61 Divide -15416 by 1927. -8 Divide -43 by -144. 43/144 What is -72340 divided by -7234? 10 Divide -63810 by 30. -2127 Divide -1139250 by -125. 9114 Divide -229536 by -57384. 4 -2113 divided by 402 -2113/402 What is 8138 divided by 2? 4069 What is -563718 divided by 93953? -6 What is 2331 divided by 259? 9 Divide -1271790 by 3. -423930 10941 divided by 180 3647/60 2062110 divided by -687370 -3 Calculate -13 divided by -240593. 13/240593 What is -11 divided by 94501? -1/8591 0 divided by 194504 0 -14 divided by -26822 7/13411 What is -291241 divided by -1283? 227 -36200 divided by 2 -18100 1840644 divided by 1404 1311 What is -2192388 divided by 1096194? -2 Divide 141864 by 1. 141864 What is 4 divided by -769938? -2/384969 Divide -2821 by -4. 2821/4 -2175 divided by -15 145 Calculate -171060 divided by -171060. 1 Calculate 0 divided by 5475. 0 Calculate 3401 divided by 6. 3401/6 Divide -1240 by 47. -1240/47 Calculate 7 divided by -1098. -7/1098 What is -201786 divided by -169? 1194 Calculate 2 divided by -56989. -2/56989 Divide -876 by -30. 146/5 4 divided by 323 4/323 Divide 1324 by -16. -331/4 Divide 41888 by 20944. 2 Divide -403284 by 2. -201642 Calculate -481 divided by -580. 481/580 Calculate 327012 divided by 12. 27251 -608615 divided by -2 608615/2 Calculate -11095902 divided by 2. -5547951 8399 divided by 84 8399/84 -241362 divided by -66 3657 Calculate 140814 divided by -23469. -6 Divide -83695 by -1. 83695 What is -100899 divided by 5? -100899/5 What is 631502 divided by 5? 631502/5 Calculate -154813 divided by 4. -154813/4 What is -30 divided by 68446? -15/34223 600622 divided by -11 -54602 Divide 137304 by -34326. -4 What is -3045208 divided by 4? -761302 Calculate -6161 divided by -7. 6161/7 What is -139696 divided by 4? -34924 -1553664 divided by 24 -64736 Calculate 7997 divided by -42. -7
{ "pile_set_name": "DM Mathematics" }
404? False Which is smaller: 1232 or 1156? 1156 Which is bigger: 981157 or 981156? 981157 Is -2/3 equal to -174106? False Which is greater: -1165 or -617? -617 Which is greater: 0 or 41/163? 41/163 Which is greater: -14/2250937 or -1? -14/2250937 Which is bigger: -1.062853 or 1? 1 Which is greater: -1 or -16/147637? -16/147637 Do -0.0077 and 11.5 have the same value? False Do 0 and -354/24437 have the same value? False Is 42345 less than 42347? True Are -12 and 46446 nonequal? True Is 426/763 < 0? False Which is bigger: -1 or 5/5087? 5/5087 Which is greater: -1.7 or 23824? 23824 Which is bigger: 45/162983 or -1? 45/162983 Which is greater: 18623 or 33? 18623 Is -540883/8 less than -67609? True Is 77326/9 at least as big as 8592? False Is 1 equal to -1/14472? False Which is bigger: -1 or -25/6456? -25/6456 Which is smaller: 0 or -10/1437? -10/1437 Is 11 less than 20977? True Is 5899 > 70805/12? False Is 543713/3 bigger than 181237? True Which is greater: 4631/114 or 42? 42 Which is greater: -28062 or -28067? -28062 Which is smaller: -2/19814505 or 1? -2/19814505 Which is bigger: 2455.54 or 0.1? 2455.54 Which is greater: -30 or 626? 626 Which is smaller: -54916 or -54917? -54917 Which is bigger: -22/51349 or 1? 1 Which is smaller: 11/4 or 6490/7? 11/4 Is -16 != -7/13? True Which is smaller: -0.03969 or -10/7? -10/7 Is -12370 less than -12372? False Is 44115 greater than 44119? False Is -2984 smaller than -17899/6? True Do -43232 and -1 have different values? True Which is bigger: -188302 or -188300? -188300 Is 101 <= 725? True Which is smaller: -1 or -163/29871? -1 Which is smaller: -238 or -5487/23? -5487/23 Does 0.05 = -7623? False Which is smaller: -3/2678 or -1? -1 Are -16 and -6/5569 equal? False Which is smaller: -9852 or -9872? -9872 Are -2 and -52/97 non-equal? True Is -41248 <= -41254? False Which is bigger: -955210 or -2/7? -2/7 Is -4/19001 not equal to 16/5? True Which is bigger: 521 or 531? 531 Is -747 <= -22429/30? False Is -15/758 at least as big as 54? False Which is smaller: 523 or 93846/179? 523 Which is smaller: -1 or -17/41373? -1 Is 0.2 at most 1878011? True Which is bigger: 0 or 37/438? 37/438 Is 28 smaller than 96037/4? True Is -219813 bigger than -219812? False Is -128/4521 greater than -1? True Which is greater: -263 or 6110? 6110 Is -4/4299 not equal to -0.92? True Are -151020 and -1 equal? False Is 0.03 at least as big as 1997? False Which is greater: 118/160265 or 0? 118/160265 Is -1 >= 1/1309727? False Which is smaller: 381274/21 or -1? -1 Is 0 greater than -58/1267? True Is 731910 != 731908? True Does 121085 = 121084? False Which is bigger: -21 or -84? -21 Is 662679 <= 5301435/8? True Which is greater: -4/6487 or 1? 1 Is 1 at least as big as 1/626290? True Does -74 = -298? False Which is greater: -23471/39 or -602? -23471/39 Which is greater: 2184 or 13111/6? 13111/6 Is 50167 less than or equal to 200673/4? True Is -49342 <= -49342? True Is -12.8 greater than -83.2? True Which is smaller: -2374/235 or -10? -2374/235 Is 761 at most 497? False Is 3455/581 > 5? True Which is smaller: -130150/9 or -14461? -130150/9 Is 38253 greater than or equal to 38243? True Which is bigger: 356.257 or -0.3? 356.257 Is 3 less than or equal to 497814? True Which is bigger: 5675 or 5676? 5676 Is 518 <= -110? False Is -1/3 bigger than 28.656? False Does -8/3 = -1/1420? False Which is smaller: 106 or -65? -65 Which is greater: 562/5 or -3/40? 562/5 Which is smaller: 28681/7 or 4096? 4096 Which is smaller: 1193/200 or 5? 5 Is 690208/33 < 20916? True Is -1012/19 at most as big as -0.9? True Which is smaller: 83653 or 83598? 83598 Which is smaller: -1895 or -1926? -1926 Is -77 equal to -3785? False Are 0.024 and -0.29635 non-equal? True Which is smaller: 14.71312 or 1? 1 Are 1 and 839/384 nonequal? True Is -10 bigger than 70716? False Is 627784 > 627784? False Is 426 at least 4/987? True Which is smaller: -0.1 or -2011/310? -2011/310 Which is smaller: -104/5131 or 0? -104/5131 Which is smaller: -453 or -1500? -1500 Which is smaller: -19056 or -2/13? -19056 Is 4764006/11 greater than 433090? True Which is smaller: 2220 or 2280? 2220 Are 415754 and 415754 non-equal? False Which is bigger: 407587 or 407589? 407589 Is 139244 at least as big as 1? True Is 72649 not equal to 72662? True Which is smaller: -32 or -3149/97? -3149/97 Which is smaller: -972311 or -972312? -972312 Are -479645 and 2 equal? False Do -98 and -5227/53 have different values? True Which is bigger: 22.6 or -717? 22.6 Which is greater: 675/143 or 4? 675/143 Is 33/7 greater than or equal to 6? False Which is greater: -1/9423 or -1? -1/9423 Do 138593 and 138598 have the same value? False Is 2934 != 49872/17? True Is -1 less than 159/7205? True Which is bigger: -463 or -2156? -463 Is 135782 smaller than 7? False Which is greater: 6/1721593 or -1? 6/1721593 Which is bigger: -9836/33 or -297? -297 Which is smaller: 0 or 659/7283? 0 Is -118935 less than -118933? True Which is smaller: 1/20643 or -1? -1 Which is bigger: -663 or -668? -663 Are -214885/3 and 0.05 equal? False Which is bigger: 94227 or 94221? 94227 Is 97/328 less than 1? True Which is smaller: 40028 or 40033? 40028 Is -1 <= -2046507? False Which is bigger: 1531769 or 1531770? 1531770 Which is greater: -893 or -1416? -893 Which is smaller: 209370/13 or 16105? 16105 Are 29416 and 29390 unequal? True Which is smaller: 817031 or 817028? 817028 Is 3111/116 less than 27? True Which is bigger: -2 or 0.061852? 0.061852 Which is greater: 176512 or -1? 176512 Is -1096211 less than or equal to -1096212? False Which is greater: 76924/11 or 6992? 76924/11 Which is smaller: -17970 or -17974? -17974 Which is greater: -733 or -2/5? -2/5 Which is greater: -158938 or -158934? -158934 Is 75 greater than -1957? True Is 1 at least as big as 269/7? False Which is smaller: -616 or -639? -639 Is -246 equal to -2427? False Which is smaller: -1 or 2/2139613? -1 Which is greater: -827235 or -827233? -827233 Which is bigger: 4/3 or 1061/8? 1061/8 Is 1156 > 1127? True Which is smaller: -1 or 90/48131? -1 Is -2109.582 at least as big as 2? False Which is bigger: -1968 or -1944? -1944 Is -4361 != -4368? True Is 26092 bigger than 26090? True Is 630 smaller than -0.02? False Which is smaller: 16494 or 65973/4? 65973/4 Which is bigger: 144623/3 or 48208? 48208 Is -160 at most as big as 156? True Which is smaller: -856153 or 0.3? -856153 Which is bigger: 5193 or 5172? 5193 Which is greater: -2715/59 or -46? -46 Which is bigger: 0 or -288/91? 0 Which is smaller: -388 or -323? -388 Which is smaller: 14 or -2.706? -2.706 Which is smaller: 6186 or 6244? 6186 Is -313 greater than or equal to -1054? True Are -58 and 829 non-equal? True Which is bigger: 171002 or 170999? 171002 Which is greater: 28920/13 or 0.1? 28920/13 Which is greater: -16053 or -16051? -16051 Which is greater: -10165 or -193152/19? -10165 Is 125331/11 equal to 11393? False Do -8 and -5362/715 have the same value? False Which is smaller: 5433 or 5431? 5431 Which is smaller: 40403/10 or 4041? 40403/10 Which is smaller: 0 or 6/230029? 0 Which is smaller: 6010255 or 6010256? 6010255 Which is smaller: 232579 or 232585? 232579 Which is smaller: 0.19 or -2/73? -2/73 Is -6715 bigger than -6720? True Which is smaller: 1 or 74/12501? 74/12501 Is -1 smaller than 1794/11003? True Is -3363183 greater than -3363182? False Are 95420 and 95421 equal? False Which is smaller: -5/2 or -462? -462 Which is smaller: -313 or -20416/65? -20416/65 Which is greater: 2/6490551 or 0? 2/6490551 Which is smaller: 0 or 28/22483? 0 Which is smaller: -323020 or -323021? -323021 Which is greater: -17391 or -17381? -17381 Is 481157 less than 481158? True Which is greater: 9/398 or 3/2? 3/2 Which is smaller: -4344 or -112? -4344 Which is bigger: -0.64385 or 1? 1 Which is greater: 1 or 1/236906? 1 Is -4683 greater than -51520/11? True Which is bigger: -1 or -3/624443? -3/624443 Are 98740 and 98741 equal? False Which is greater: 59 or 1472? 1472 Which is bigger: 1/25108 or 0? 1/25108 Is -72.61 greater than 1/6? False Which is greater: -12598 or -12594? -12594 Which is bigger: -399 or -4491/8? -399 Which is greater: -492481 or -492479? -492479 Which is greater: -1317 or -23? -23 Which is smaller: -69/1106 or -1? -1 Do 1236 an
{ "pile_set_name": "DM Mathematics" }
: 3, x: 3, p: 6, e: 3}. What is prob of sequence exx? 1/323 Calculate prob of sequence iii when three letters picked without replacement from aiwivumavvaiuvi. 4/455 Three letters picked without replacement from fkkfffk. Give prob of sequence ffk. 6/35 What is prob of sequence ahm when three letters picked without replacement from hallglmhahh? 4/495 What is prob of sequence dyy when three letters picked without replacement from dddydyddydy? 14/165 Three letters picked without replacement from {t: 7, g: 1, l: 2}. Give prob of sequence tgt. 7/120 Calculate prob of sequence stt when three letters picked without replacement from lollttlggslt. 1/220 What is prob of sequence iei when three letters picked without replacement from {e: 12, i: 4, l: 4}? 2/95 What is prob of sequence iiff when four letters picked without replacement from {f: 9, i: 5}? 60/1001 What is prob of sequence ii when two letters picked without replacement from {z: 2, i: 11}? 55/78 What is prob of sequence wyr when three letters picked without replacement from {y: 1, r: 3, q: 2, w: 1, o: 5}? 1/440 Four letters picked without replacement from bccxcmxbcxcxcxcc. What is prob of sequence xxxx? 1/364 Calculate prob of sequence qvvv when four letters picked without replacement from {v: 3, q: 4, f: 6}. 1/715 Four letters picked without replacement from aalaaaaaaaaafaa. What is prob of sequence laaa? 11/210 Four letters picked without replacement from {n: 7, l: 3, u: 8}. Give prob of sequence nunl. 7/510 Four letters picked without replacement from {b: 3, a: 8}. What is prob of sequence baaa? 7/55 Four letters picked without replacement from nhnqqqq. What is prob of sequence qqqn? 2/35 Three letters picked without replacement from {o: 9, e: 4, k: 3}. Give prob of sequence kee. 3/280 Calculate prob of sequence ss when two letters picked without replacement from ststssttss. 1/3 What is prob of sequence xxoh when four letters picked without replacement from ooxxopxxoohxxx? 5/572 Calculate prob of sequence diff when four letters picked without replacement from ddidf. 0 Three letters picked without replacement from xfwvowhf. Give prob of sequence oxf. 1/168 Four letters picked without replacement from {t: 3, q: 2, v: 2, d: 4}. What is prob of sequence qqtv? 1/660 Calculate prob of sequence gni when three letters picked without replacement from {i: 3, n: 5, g: 1, j: 1}. 1/48 Calculate prob of sequence sc when two letters picked without replacement from oscaooooocaooo. 1/91 Calculate prob of sequence nnnu when four letters picked without replacement from nfnnvnniuunf. 2/99 Calculate prob of sequence laal when four letters picked without replacement from {a: 10, l: 4}. 45/1001 Three letters picked without replacement from kbxknnknnnxkqnnknb. What is prob of sequence qkx? 5/2448 What is prob of sequence fft when three letters picked without replacement from ddtdfffdfttdtddfd? 1/51 What is prob of sequence llh when three letters picked without replacement from {l: 4, j: 4, h: 12}? 2/95 Two letters picked without replacement from weweaawelv. What is prob of sequence ev? 1/30 Calculate prob of sequence vczz when four letters picked without replacement from {p: 1, y: 4, v: 1, c: 2, z: 2}. 1/1260 Two letters picked without replacement from ccjcf. Give prob of sequence cc. 3/10 Calculate prob of sequence av when two letters picked without replacement from aaaaaavaaaabaavvab. 13/102 Two letters picked without replacement from {q: 2, k: 6}. Give prob of sequence qk. 3/14 Calculate prob of sequence lo when two letters picked without replacement from {p: 6, n: 1, s: 8, i: 1, o: 2, l: 2}. 1/95 Three letters picked without replacement from {d: 3, l: 1, p: 5, k: 5, a: 2}. What is prob of sequence ppp? 1/56 Two letters picked without replacement from ninicx. What is prob of sequence in? 2/15 Calculate prob of sequence xsd when three letters picked without replacement from {m: 4, s: 5, x: 2, o: 4, d: 1}. 1/336 Calculate prob of sequence occe when four letters picked without replacement from {e: 6, p: 1, c: 2, o: 5, s: 5}. 5/7752 Calculate prob of sequence ff when two letters picked without replacement from {x: 2, f: 2, z: 1, c: 1}. 1/15 Calculate prob of sequence spps when four letters picked without replacement from {u: 6, c: 1, p: 4, s: 2}. 1/715 What is prob of sequence unt when three letters picked without replacement from nrtun? 1/30 Calculate prob of sequence vfg when three letters picked without replacement from {v: 12, f: 3, g: 2, k: 3}. 1/95 Calculate prob of sequence uvvu when four letters picked without replacement from uuuuvunvv. 5/126 Calculate prob of sequence gr when two letters picked without replacement from {l: 1, r: 1, g: 1}. 1/6 Calculate prob of sequence qnn when three letters picked without replacement from {f: 4, e: 3, n: 3, q: 3, l: 3, a: 4}. 1/380 Calculate prob of sequence tmh when three letters picked without replacement from prrhtpm. 1/210 What is prob of sequence kha when three letters picked without replacement from {a: 3, h: 3, k: 1}? 3/70 Two letters picked without replacement from {n: 1, w: 4, z: 1, i: 3, g: 5, y: 3}. Give prob of sequence yi. 9/272 Four letters picked without replacement from jjjjjoojjoojoooj. Give prob of sequence jjoj. 21/260 Four letters picked without replacement from {g: 3, h: 1, z: 4, y: 2, a: 1}. What is prob of sequence hagg? 1/1320 Three letters picked without replacement from obbbfoffbf. Give prob of sequence oob. 1/90 Calculate prob of sequence qq when two letters picked without replacement from bqubbbzbqqqbhub. 2/35 Four letters picked without replacement from {k: 1, a: 2, h: 1}. What is prob of sequence aahh? 0 Calculate prob of sequence rllr when four letters picked without replacement from ggrgggrggsrgglrgl. 1/2380 Three letters picked without replacement from {e: 4, u: 1, p: 2, a: 1, w: 1}. Give prob of sequence pwe. 1/63 Two letters picked without replacement from jrrpjjuuuju. Give prob of sequence jp. 2/55 Two letters picked without replacement from mwidmimmivmim. Give prob of sequence dv. 1/156 Two letters picked without replacement from {s: 1, c: 11}. What is prob of sequence cs? 1/12 Calculate prob of sequence kkk when three letters picked without replacement from {k: 4}. 1 Four letters picked without replacement from kjkojjjkojkjkkjoj. Give prob of sequence jojo. 1/170 Three letters picked without replacement from {g: 1, y: 1, x: 1, f: 1, m: 1}. What is prob of sequence xmx? 0 Three letters picked without replacement from gygifgymgfdiyy. Give prob of sequence gdm. 1/546 Four letters picked without replacement from hehhvhe. Give prob of sequence eehh. 1/35 Two letters picked without replacement from wdoowdwoooiou. What is prob of sequence wi? 1/52 Three letters picked without replacement from pkpkk. What is prob of sequence kkp? 1/5 Two letters picked without replacement from {m: 4, o: 1, n: 1, t: 2, p: 2, i: 4}. What is prob of sequence it? 4/91 Three letters picked without replacement from ddcddddddc. Give prob of sequence dcc. 1/45 Calculate prob of sequence nn when two letters picked without replacement from mfnfnfnmmfnnfm. 10/91 What is prob of sequence pccc when four letters picked without replacement from cccpcccpccpccpcpccc? 455/3876 Two letters picked without replacement from vvvvvv. What is prob of sequence vv? 1 Calculate prob of sequence eeuj when four letters picked without replacement from {j: 1, u: 1, e: 2}. 1/12 Calculate prob of sequence nz when two letters picked without replacement from {z: 7, n: 7, b: 2}. 49/240 Two letters picked without replacement from chchhhchhhhczhhhchz. Give prob of sequence zz. 1/171 Three letters picked without replacement from {m: 8, g: 2, x: 1, p: 2, k: 1, d: 1}. What is prob of sequence mmk? 4/195 What is prob of sequence vd when two letters picked without replacement from rddv? 1/6 Three letters picked without replacement from ihffwh. What is prob of sequence hih? 1/60 Two letters picked without replacement from sslasna. Give prob of sequence la. 1/21 Two letters picked without replacement from {f: 1, y: 3}. Give prob of sequence yf. 1/4 Calculate prob of sequence rj when two letters picked without replacement from {j: 5, o: 3, r: 3}. 3/22 Two letters picked without replacement from mwmwww
{ "pile_set_name": "DM Mathematics" }
(y) = 0. What is y? -3, 2 Let m(q) = -15*q**2 + q. Let t be m(3). Let n be (-6)/(-4)*t/(-55). Factor -2*s**3 - n*s + 4/5 + 24/5*s**2. -2*(s - 1)**2*(5*s - 2)/5 Let x be ((-4)/8)/((-2)/(-24)). Let j be x/((-2)/(8/6)). Factor -r + j*r**2 + r**4 - 3*r**3 + 0*r**2 - r**2. r*(r - 1)**3 Factor -22*h**4 - 4*h**5 + 21*h - 30*h**3 - 11*h**5 - 16*h - 18*h**4. -5*h*(h + 1)**3*(3*h - 1) Let f(p) be the second derivative of 1/21*p**3 + 0 - 1/70*p**5 - 1/21*p**4 - 7*p + 2/7*p**2. Find r, given that f(r) = 0. -2, -1, 1 Let t(u) be the third derivative of 1/175*u**7 + 1/15*u**4 + 0 + 1/300*u**6 + 0*u**3 - 4/75*u**5 - 2*u**2 + 0*u. Let t(q) = 0. Calculate q. -2, 0, 2/3, 1 Suppose 5 = 3*g - 4. Find z, given that 10*z**2 + 15*z**4 - 5*z**5 - 16*z**g - 6*z**2 + 2*z**4 = 0. 0, 2/5, 1, 2 Let d(h) be the second derivative of h**7/252 + 11*h**6/540 + 7*h**5/180 + h**4/36 - h**3/2 + 4*h. Let u(o) be the second derivative of d(o). Factor u(m). 2*(m + 1)**2*(5*m + 1)/3 Let q be 26/10 + (-6)/10. Find k, given that 2/9*k**q - 4/9 + 2/9*k = 0. -2, 1 Suppose 9*c = 4*c + 10. Let v(w) = -w**3 + 3*w**2 - 8*w + 4. Let z(y) = -5*y**3 + 14*y**2 - 40*y + 20. Let g(s) = c*z(s) - 11*v(s). Factor g(m). (m - 2)**2*(m - 1) Find i, given that -2/11*i**2 + 4/11 - 2/11*i = 0. -2, 1 Let a be 4 + 14/(-5) + 0. Let i(m) be the first derivative of 1/5*m**2 - 13/10*m**4 + 2/5*m**5 + a*m**3 - 2 - 4/5*m. Determine l, given that i(l) = 0. -2/5, 1 Let l(d) = 15*d**2 - 6*d - 8. Let p(q) = -7*q**2 + 3*q + 4. Let o(u) = -6*l(u) - 13*p(u). Let g be o(4). Suppose -1/4*j**2 + 1/4*j + g = 0. What is j? 0, 1 Let h(g) = g**3 - 2*g**2 + 2*g - 2. Let l be h(2). Let a(y) be the second derivative of 0 - 4/3*y**3 + 4*y**l + 1/6*y**4 + 3*y. Factor a(t). 2*(t - 2)**2 Factor -8/3 - 12*m**2 - 4/3*m**4 - 28/3*m - 20/3*m**3. -4*(m + 1)**3*(m + 2)/3 Suppose -2*j**3 - 32*j**4 + 4*j**5 - 1 + 30*j**3 + 1 = 0. Calculate j. 0, 1, 7 Let h = -341 + 341. Find b such that h - 1/7*b**2 + 0*b - 1/7*b**3 = 0. -1, 0 Let u(h) be the third derivative of 1/30*h**4 + 11/600*h**6 + 3*h**2 + 0*h + 0 + 0*h**3 + 1/350*h**7 + 1/25*h**5. Let u(z) = 0. What is z? -2, -1, -2/3, 0 Let i(h) be the second derivative of -1/210*h**5 - 2*h + 1/420*h**6 - h**2 + 0 + 0*h**4 + 0*h**3. Let p(s) be the first derivative of i(s). Factor p(a). 2*a**2*(a - 1)/7 Let w(r) = -21*r**4 + 16*r**3 + 77*r**2. Let l(a) = 10*a**4 - 8*a**3 - 38*a**2. Let d(o) = 13*l(o) + 6*w(o). Factor d(z). 4*z**2*(z - 4)*(z + 2) Let r(p) be the first derivative of 3 + p**2 - p**4 + 0*p**3 + 1/3*p**6 + 0*p**5 + 0*p. Factor r(v). 2*v*(v - 1)**2*(v + 1)**2 Let b be -1 + (-4)/(16/(-12)). Factor -4*q**b + 0*q + q**3 - 3*q + 2*q**2. q*(q - 3)*(q + 1) Let u = -86469/11 - -7889. Let w = -28 + u. Find v, given that 0*v**3 - w*v**4 + 2/11*v**2 + 0*v + 0 = 0. -1, 0, 1 Let y(x) be the third derivative of 0 - 1/30*x**4 + 1/300*x**6 + 0*x - 1/150*x**5 + 0*x**3 + x**2. Factor y(k). 2*k*(k - 2)*(k + 1)/5 Let b = 274 - 1358/5. Solve b - 12/5*g + 3/5*g**2 = 0. 2 Let m be ((-10)/(-15))/((-2)/(-6)). Let -2*g**2 - 4 - 2*g + g**2 + 3*g**m = 0. Calculate g. -1, 2 Let o = 1193/4 - 298. What is a in 0*a + 0 + o*a**2 = 0? 0 Let o = 22/5 - 83/20. Let w be -1 + ((-27)/(-24))/((-24)/(-32)). Factor 0*d**3 + 0 - w*d + o*d**4 - 3/4*d**2. d*(d - 2)*(d + 1)**2/4 Let f = 247/1661 + 5/151. Factor 0*p**2 - 2/11*p + f*p**3 + 0. 2*p*(p - 1)*(p + 1)/11 Suppose 2*n - 2 = -0*n. Suppose 3*g + n = 7. Determine d, given that -d**5 + 2*d**g + d**3 - 2*d**2 = 0. -1, 0, 1 Let a(r) = r**3 - 8*r**2 + 8*r - 2. Suppose 0 = c - 2*f + 3, 5*f = 3*c + f - 1. Let x be a(c). Factor -l**x + 1 - 1. -l**5 Suppose 22 = w - 5*g, 2*w + 5*g = w + 2. Let c be (w/(-81))/(2/(-3)). Solve 0 - c*u + 2/9*u**3 + 0*u**2 = 0. -1, 0, 1 Suppose 3*p = 4*p - 6. Let 8*x + p*x**2 + 8/3 = 0. Calculate x. -2/3 Let j(b) be the third derivative of -b**7/1260 - b**6/108 - 2*b**5/45 - b**4/9 + b**3/3 + 3*b**2. Let u(d) be the first derivative of j(d). Factor u(c). -2*(c + 1)*(c + 2)**2/3 Suppose -4*x - 2*z = -20, 5*x - 25 = -0*x + 4*z. Factor -20*r**3 + 12*r**3 - 2*r**x + 10*r**3. -2*r**3*(r - 1)*(r + 1) Factor 0*v**2 - 1/2*v**3 + 0 + 1/2*v. -v*(v - 1)*(v + 1)/2 Factor -3*q**4 + 2*q**5 - 5*q**5 - 3 + 3. -3*q**4*(q + 1) Let s be (15/20)/(6/4). Let h(l) = 4*l**3 - l**2 + l - 1. Let x be h(1). Solve -1/4*t**2 - s*t + 3/4*t**x + 0 = 0. -2/3, 0, 1 Let i = -199 - -598/3. Factor 0 + 0*d - i*d**5 + d**4 - d**3 + 1/3*d**2. -d**2*(d - 1)**3/3 Let v(u) be the second derivative of u**6/180 - u**5/90 - u**2/2 - 3*u. Let t(h) be the first derivative of v(h). Factor t(a). 2*a**2*(a - 1)/3 Let m(f) be the first derivative of -f**6/120 - f**5/24 - f**4/16 - 3*f**2/2 + 6. Let s(d) be the second derivative of m(d). Determine i, given that s(i) = 0. -3/2, -1, 0 Let c be 8/10*(-250)/(-28). Factor 0 - c*f**5 - 8/7*f**3 - 40/7*f**4 + 0*f**2 + 0*f. -2*f**3*(5*f + 2)**2/7 Let o(r) be the third derivative of -r**8/140 + r**6/40 + r**5/40 - r**3 - 3*r**2. Let k(x) be the first derivative of o(x). Suppose k(u) = 0. Calculate u. -1/2, 0, 1 Suppose 2*g - 4*u - 4 = -3*g, 0 = 2*g - 2*u. Factor 3 - 6*i**2 - g*i**3 + 6*i**3 + 5. 2*(i - 2)**2*(i + 1) Let l(k) be the third derivative of 2*k**7/105 + k**6/12 + k**5/15 + 15*k**2. Let l(a) = 0. Calculate a. -2, -1/2, 0 Let p(k) be the third derivative of 0*k**3 + 0 + 1/35*k**7 + 0*k**4 + 1/30*k**5 - 1/20*k**6 - 1/168*k**8 - 2*k**2 + 0*k. What is b in p(b) = 0? 0, 1 Let p(v) be the second derivative of -2*v + 1/40*v**5 + 1/4*v**3 + 1/4*v**2 + 1/8*v**4 + 0. Let p(f) = 0. Calculate f. -1 Suppose 5*c = 4*t + 52, 4*t + 2*c = -64 + 12. Let k = 8 + t. Let a(l) = l**2 + 2*l. Let b(u) = -2*u**2 - 5*u. Let g(y) = k*a(y) - 2*b(y). Factor g(d). -d**2 Suppose -3*z - r + 4 = 0, 0 = 3*z + 2*r - 2. Let c(j) be the second derivative of -1/27*j**3 + 1/54*j**4 + 0*j**2 + z*j + 0. What is h in c(h) = 0? 0, 1 Solve 2/7 - 12/7*z + 10/7*z**2 = 0 for z. 1/5, 1 Let h(u) be the second derivative of 1/5*u**6 + 0 - 1/21*u**7 - 1/3*u**4 - u**2 - 1/5*u**5 + u**3 + u. Factor h(j). -2*(j - 1)**4*(j + 1) Let c = 71 + -71. Suppose -2/3*d**3 + c*d**2 + 2/3*d + 0 = 0. Calculate d. -1, 0, 1 Let t(w) = -2*w**5 + 66*w**4 + 363*w**3 + 5*w**2 - 5*w. Let u(c) = c**5 - c**2 + c. Let p(l) = -t(l) - 5*u(l). Factor p(f). -3*f**3*(f + 11)**2 Let -2/5*f - 3/5 + 1/5*f**2 = 0. What is f? -1, 3 Let t = 12 - 10. Factor -5*l**3 + 3*l**2 - l**t + 3*l**3. -2*l**2*(l - 1) Let k be 16/10 + 310/775. Factor -1/3*j**k + j - 2/3. -(j - 2)*(j - 1)/3 Let h(c) be the third derivative of -8*c**2 + 0*c**3 - 1/240*c**5 - 1/96*c**4 + 0*c + 0. Let h(m) = 0. What is m? -1, 0 Let m(k) be the third derivative of k**7/3360 + k**6/720 + k**5/480 + 2*k**3/3 - k**2. Let s(h) be the first derivative of m(h). Factor s(i). i*(i + 1)**2/4 Let c(y) be the third derivative of -y**8/1680 - y**7/1050 + y**6/600 + y**5/300 + y**2. Factor c(j). -j**2*(j - 1)*(j + 1)**2/5 Let k(u) be the third derivative of 2*u**2 + 0*u**4 + 0*u + 0 + u**3 - 1/40*u**5. Factor k(i). -3*(i - 2)*(i + 2)/2 Let g(r) be the third derivative of -r**8/672 + r**7/210 - r**6/240 + 3*r**2. Factor g(v). -v**3*(v - 1)**2/2 Factor 0 - 2/9*b - 4/9*b**2 - 2/9*b**3. -2*b*(b + 1)**2/9 Let f(u) = 2 - 8*u + 21*u + 4 - 21*u**2. Suppose 0*y + 5*y = 15. Let c(k) = -21*k**2 + 12*k + 6. Let r(d) = y*f(d) - 2*c(d). Factor r(j). -3*(j - 1)*(7*j + 2) Let z be ((-1)/7)/(2 + -3). Solve 1/7*w**2 - z*w - 2/7 = 0 for w. -1, 2 Let a = -140 + 142. Factor -2/3 + 2/3*n**a + 0*n. 2*(n - 1)*(n + 1)/3 Suppose 0*k + 0 + 0*k**4 - 1/2*k**3 + 0*k**2 + 1/2*k**5 = 0. What is k? -1, 0, 1 Suppose 2*f + 0*f - 6 = 0. Suppose -f*y + 2*r - 1 = 0, 5 = -4*y - y + 4*r. Factor 2 + 11*p + 8*p**3 + 16*p**2 + 2*p**3 - 3*p**y. (p + 1)**2*(7*p + 2) Let k(g) = 4*g**4 + 10*g**3 + 20*g**2 + 14*g + 4. Let l(s) = -s**4 - s**2. Let d(o) = -k(o) - 2*l(o). Suppose d(y) = 0. What is y? -2, -1 Factor -95*a + 5*a**3 + 157*a - 20 + 5*a**2 - 82*a. 5*(a - 2)*(a + 1)*(a + 2) Let d(u) = -9*u**3 + 7. Let l(q) = -5*q**3 + 0*q**3 + 4 + q**3 - 1. Let r(s) = 3*d(s) - 7*l(s). Factor r(z). z**3 Suppose a - a = 3*a. Let q(y) be the third derivative of 3*y**2 + 1/24*y**4 + 0*y - 1/120*y**5 + a - 1/12*y**3. Determine c so that q(c) = 0. 1 Let r(m) be the third derivative of 0*m**3 + 0*m + 0 - m**2 + 1/420*m**5 + 1/168*m**4. Factor r(x). x*
{ "pile_set_name": "DM Mathematics" }
6 + 0. Suppose 209 - 83 = 14*r. Solve 5*m = y + r for m. 5 Suppose 5*w = 28 - 13. Solve 2*k + 5 = w*k for k. 5 Suppose 3*d - 22*x - 216 = -19*x, 4*d + 4*x - 248 = 0. Solve 12*o - 19 = -d for o. -4 Let k(z) = -z**3 + 8*z**2 - 60. Let r be k(5). Solve 13 - r = -2*u for u. 1 Suppose -59*y = -64*y + 20. Suppose 0 = -2*n + 16 + 2. Solve -1 = -y*w - n for w. -2 Let a(z) = -3*z**2 - 17*z - 7. Let n be a(-5). Solve 10 - 4 = -n*f for f. -2 Let h(s) = s - 37. Let a(k) = k - 38. Let u(p) = 2*a(p) - 3*h(p). Let b be u(23). Solve 2*l - 5*l - b = 0 for l. -4 Let t be 10/(-75) + (-96)/(-45). Solve -4*o + 8 = -t*o for o. 4 Let p be (-8 - -14)/((-6)/(-9)). Suppose -25 = p*s - 14*s. Solve -2*y + s*y = 6 for y. 2 Suppose 4*w = -0*w + 20. Let h be (-40)/(-6)*(-18)/(-12). Suppose d - h = -4. Solve 2*g - w*g + d = 0 for g. 2 Let i(r) be the third derivative of -r**5/60 - r**4/3 - 3*r**3/2 + 4*r**2. Let n be i(-6). Suppose 0 = n*t - 7*t + 24. Solve 0 = d - 4*d - t for d. -2 Let d be 6 - (-7 + (0 - -2)). Solve -d*y - 40 = -3*y for y. -5 Let f(i) = -2*i - 6. Let t be f(-4). Let p be 1*(-3 - -2 - 0). Let x be (p/2)/((-5)/20). Solve -x*g = t*g - 16 for g. 4 Suppose f - 5*v = -2*f - 4, -5*f + 20 = 5*v. Suppose 5*p = 3*p + 12. Solve -f + p = -4*z for z. -1 Let r(g) = 41*g**3 + 2*g**2 - 1. Let i be r(1). Let f be (-62)/(-7) - (-6)/i. Suppose -3*t + 18 = -f. Solve -t = -0*s + 3*s for s. -3 Let c be 1/(0/(-4) + 5)*95. Solve 5*s = c - 4 for s. 3 Let y be 3/3 - (-4)/(-2). Let x = 13 + y. Suppose 0 = 4*f - 9*f. Solve 0 = -f*n - 4*n + x for n. 3 Suppose 0 = -4*b + 6 + 6. Suppose v = 3*x - 5, 5*x - 7 = 6*v - b*v. Let r be (20 - 1)/(1/v). Solve 5*d - 6 - r = 0 for d. 5 Let l = 10 - 5. Suppose 2*g = -l*v + 23, 0 = -3*v - 5*g - 3 + 32. Solve -v*z + 6*z = 3 for z. 1 Suppose -4*t + 21 = -2*s + 5, 5*t = 20. Let g = 463 + -438. Solve -5*b + g = -s*b for b. 5 Suppose 63 = 8*h - 65. Solve -x = -h + 14 for x. 2 Let h be 84/5*(-80)/(-48). Solve -h = 5*w + 2*w for w. -4 Let r(y) = 2*y - 24. Let z be r(16). Let c(h) = -h**3 + 6*h**2 + 16*h + 1. Let k be c(z). Solve k + 5 = 2*g for g. 3 Let v = 285 + -278. Solve 11*f - v*f + 12 = 0 for f. -3 Let x(z) = -z**2 + 10*z + 2. Let n be x(10). Suppose -125 = -n*i - 3*i. Let o(k) = 5*k - 2. Let t be o(1). Solve 8*h = t*h + i for h. 5 Let r(a) = a**2 + 7*a + 9. Let b be r(-6). Solve 2*d - b = -d for d. 1 Suppose 0 = 5*f - 20 - 40. Suppose 62 = 3*l - 4*a, -2*l + 4*l - 53 = 5*a. Suppose -l*t = -15*t + 5. Solve -8 = t*u + f for u. -4 Let k(h) = 5*h + 37. Let z be k(-9). Let q be 8/10*(-100)/z. Solve 0 = w + 4*w + q for w. -2 Let k = -20 - -20. Let n be ((3 - -12) + k)*-1. Let z be n/(-9)*27/15. Solve z*d = 9 + 6 for d. 5 Suppose -c + 2*k = 0, k = -0*c - c. Suppose -2*i + 3*f - 61 = 0, 2 = -2*i - 2*f - 34. Let b = i - -25. Solve 4*y - b*y - 8 = c for y. 4 Suppose -4*p + p + 21 = 0. Suppose 4*w - 27 = 13. Let y(f) = f**3 - 9*f**2 - 7*f - 5. Let x be y(w). Solve x = 2*d - p*d for d. -5 Suppose -f + 4*f = 12. Let h be (-3)/(-15) + 518/10. Let y = 55 - h. Solve f = y*w - 2 for w. 2 Let m = -43 + 16. Let l(f) = -f**3 + 6*f**2 + 22*f - 17. Let q be l(8). Let r = q + m. Solve 5*y - r*y = -2 for y. -2 Let l(w) = w**3 + 49*w**2 + 48*w + 2. Let n be l(-48). Suppose -14 = -3*p + 1. Solve -n*k - 9 = -p*k for k. 3 Let w = -4 - -9. Let r be (-5 - w)/(-1 + 0). Solve -x = x - r for x. 5 Let w be -10 + -4*(-20)/16. Let t be 21*w*(-2)/30. Solve 0 = -6*p + t*p for p. 0 Suppose 5*g = -25, 2*p + 49*g = 53*g + 34. Solve -p*k = -6*k - 2 for k. 2 Suppose -5*d + 69 = 4*n, -4*n - 4*d = -7*n + 44. Solve 21*r = n*r - 10 for r. -2 Suppose 2351*v - 2350*v = 16. Solve 29 + v = 9*r for r. 5 Suppose 2 = 9*z - 52. Suppose 3*o - 6*o + z = 0. Solve 4*q - 2 = o for q. 1 Suppose -5 + 87 = l. Suppose -7 + l = -3*s. Let i = -21 - s. Solve -i*d = -1 - 3 for d. 1 Let h(r) = -r**3 - 43*r**2 + 49*r + 235. Let x be h(-44). Solve x*s = -4*s - 95 for s. -5 Let k(x) = -10*x**2 + x + 5. Let l be k(-3). Let d be (-160)/l + 4/22. Let p be (-2)/(-4) - (-11)/d. Solve -2*b + 8 = -p*b for b. -2 Suppose 10 = y + y. Suppose -14 = -6*w + 106. Solve -w = -0*d + y*d for d. -4 Let v be ((-2)/(-2)*-10)/(-2). Suppose v*x = 4*p + 4, -2*p + 5*p = -3. Solve x*c = 4*c for c. 0 Suppose -5*l + 5*r = -55, -5*r - 2 = -22. Solve l = -5*i - 0*i for i. -3 Suppose -20 = -20*k + 16*k. Suppose -k*s - 20 = 2*w - s, 5*s + 25 = 4*w. Solve 0*q + q = w for q. 0 Let h(a) = a**3 - 44*a**2 - 91*a - 46. Let o be h(46). Solve -2*i + o + 10 = 0 for i. 5 Suppose -9*t + 175 = 175. Solve t*b = -3*b + 15 for b. 5 Let b(o) = -o**3 + 3*o**2 - o - 2. Let l be b(2). Let x = 13 + -10. Suppose 4*y - 5*s + 10 = -y, 0 = -x*y + 5*s - 16. Solve l = y*h + h + 16 for h. -4 Let i = 68 - 80. Let r be ((-8)/20)/(i/15)*0. Solve r = -3*m - 2 - 4 for m. -2 Suppose -c = -0*n + n + 4, 4*c = 4*n. Let d be (-20)/5 + n + 8. Solve -4 = -d*h + 4*h for h. -2 Suppose 26 = 5*t - 2*r, 4*t - 9*t + 4*r + 22 = 0. Solve t = -y + 1 for y. -5 Let l(t) = -t + 8. Let n be l(6). Let k(a) = a**2 - 4*a - 1. Suppose b = 9 - 4. Let c be k(b). Solve n = 2*v - c*v for v. -1 Suppose 3*r = 4*b + 29, -r + 11 + 12 = -4*b. Solve -2 = r*y - y for y. -1 Suppose -5*w + 12*w - 56 = 0. Let h be (w/12)/(6/9). Solve h - 4 = 3*v for v. -1 Suppose 2*g - 4*p = -4 + 12, -p = -5*g + 11. Solve g*i - 3*i = 4 for i. -4 Suppose 6 = k - z + 2*z, -2*k = z - 13. Solve k*y + 6 = 9*y for y. 3 Let d(s) be the third derivative of -s**6/120 + s**5/15 - s**4/8 + 5*s**3/6 + 27*s**2. Let x be (-28)/(-10) + (-9)/(-45). Let r be d(x). Solve -t = r - 3 for t. -2 Let j(g) = g**3 - 6*g**2 + 3*g + 12. Let b be j(5). Suppose -49 = -4*f + 3*p, 2 = f + 5*p - 16. Solve f = -b*c + 9 for c. -2 Let j = -425 + 427. Solve 0 = 5*w - 6*w + j for w. 2 Let o be (-65)/(-20) - 3/(-4). Suppose 0 = o*u - 9 - 3. Suppose 5*h = -2*n, u*h - 2*n = n. Solve 5*x + h*x = 5 for x. 1 Suppose 140*k - 129*k - 88 = 0. Suppose 0 = -0*f + f - 13. Suppose 0 = 3*d + r - f, -3*d + 4*r - 11 = -r. Solve k = -d*b - b for b. -2 Let l be 6/9*(-18)/(-4). Let x = 40 - 20. Suppose 3*a - x = -2*a. Solve -l*b - 2 - a = 0 for b. -2 Suppose -3*q = -q - 10. Suppose 4 = q*s - 16. Suppose 5*w = 3*f - f + s, -5*f - 3*w = -21. Solve 12 + f = -5*x for x. -3 Suppose 0 = 3*i - 270 + 246. Solve t - 4 = -i for t. -4 Let r be (-6)/(-24) + 15/4. Let p be (4 - 30/8)*r. Solve -5*a = 4 + p for a. -1 Suppose 5 + 13 = 3*o. Let x be -30*1/o*-4. Suppose -3*w = -5*v - 30, 3*v = -2*w - 2*v + x. Solve 7*m + w = 2*m for m. -2 Let r = 644 + -636. Solve 0 = 4*h + 4 + r for h. -3 Let g(j) = 5*j**2 - 16*j - 12. Let y be g(4). Solve -4*n + y = 20 for n. -4 Let g(w) = -w**3 - 8*w**2 + w + 6. Let y be g(-8). Let t be y/6 + 88/12. Suppose -t = -2*b - 3*k, -k = -5 + 4. Solve -b*a = a + 9 for a. -3 Let m be (-8)/24 + (-91)/(-3). Suppose 9*f - m = 4*f. Suppose f*y - 4*y - 40 = 0. Solve 5 + y = 5*t for t. 5 Let i(m) = 0*m - m + 0 + m**2 - 3. Suppose 5*f + 2*k - 23 = 0, f + 2*k - 1 = 10. Let s be i(f). Solve -d - s = -0 for d. -3 Let g(r) = -3*r**2 - 5*r - 3. Let j be g(-4). Let p = j + 37. Solve -p*n - 16 = -2*n for n. -4 Let c(t) = -t - 2. Let q be c(-3). Solve -r + 6 = q for r. 5 Let z be (-1 + 12/8)*-78. Let a = z - -39. Solve 2*d + d + 15 = a for d. -5 Suppose 2*j - 6 = 2. Let g(n) be the first derivative of n**4/4 - 4*n**3/3 + n**2 - 2*n - 16. Let u be g(j). Solve -u*h + h = 15 for h. -3 Let m be (0 + 12)*2/3. Suppose a + 6 = 4*a + 3*p, -4*a - p + 11 = 0. Let n(z) = -z**2 + 4*z. Let j be n(a). Solve y + m = -j*y for y. -2 Let l(c) = -c**2 + 3*c - 2. Let u be l(2). Solve u*q = 2*q + 10 for q. -5 Let p = 431 + -431. Solve p = -0*s - s for s. 0 Suppose -2*n = 3*b - 10, -n + 1 = 2. Suppose 4*s - s + 3*w = 15, 0 = s + b*w - 14. Solve -1 = -s*c + 5 for c. 3 Let s be ((-1653)/(-116))/(9/24). Solve 33*g = s*g + 15 for g. -3 Let b(k) = -k**2 + 10*k + 20. Let w be b(11). Suppose -o + w = i, -i - 1 = -o - 0*o. Solve -2*h = 2*h + i for h. -1 Let w be (7 + 252/(-27))/((-3)/9). Solve w = -7*p - 7 for p. -2 Suppose -33*r + 41*r = 16. Solve r*x - 7*x + 20 = 0 for x. 4 Let y = 170 + -167. Solve -12*o + y = -11*o for o. 3 Let g = 814 - 673. Solve -2*t - g + 131 = 0 for t. -5 Let l be (3 + (-24)/8)/(-1). Solve 2*u + 4*u + 18 = l for u. -3 Let t(l) = 2*l + 14. Let f(q) = 6*q + 43. Let u(i) = -2*f(i) + 7*t(i). Let y be
{ "pile_set_name": "DM Mathematics" }
g**2 + 4*g**3). -7*g**3 Expand (0*z + z - 3*z)*(0 - 4 + 6)*(-6 + 2 + 3)*(-z + 10*z**2 + z). 40*z**3 Expand (-49 - 47*k - 31*k + 53)*(3 + 0 - 2). -78*k + 4 Expand -274080*i**3 + 274082*i**3 + 3 - 1 - i**2 - 83*i - 5*i**3 + i**3 + i**3 + (2*i + i - 2*i)*(0*i**2 - 2*i**2 + i**2). -2*i**3 - i**2 - 83*i + 2 Expand (l**4 + 1 - 1)*(-566 - 522*l + 1040*l - 519*l). -l**5 - 566*l**4 Expand (-4 + 6 + 0)*(4*g**2 + g**2 - 7*g**2)*(5 - 5 + g). -4*g**3 Expand (14 + o - 14)*(4 - 4 - 3*o)*(-3 + 7 - 3)*(86*o**3 + 84*o**3 - 178*o**3). 24*o**5 Expand (-t + 4 - 4)*(-16 + 10 - 25). 31*t Expand (0*c**2 - 18*c**2 - 22*c**2)*(2 - 3 + 3)*(-4 + 0 + 3). 80*c**2 Expand (50980*o + 2*o**2 - 3 - 51707*o + 5)*(0*o + o - 3*o). -4*o**3 + 1454*o**2 - 4*o Expand (-8 - 5*t**4 + 8 - 2*t)*(-3*t + 14*t + 32*t + (0 + 1 + 1)*(-5*t + 2*t + 2*t)). -205*t**5 - 82*t**2 Expand (3*r + 7*r + 9*r)*(-7*r**3 + 2*r**3 + 3*r**3) - 2*r**4 + r**4 + 0*r**2 + 2*r**2. -39*r**4 + 2*r**2 Expand -40*w**2 + 8*w**2 - 103*w**2 - w**2 - 3*w**2 + 3*w**2 + (0*w + 3*w - w)*(-w + 4 - 4) - 2*w + 4*w**2 - 2*w**2 + 0*w. -136*w**2 - 2*w Expand (13*n - 3*n + 24*n)*(n**2 + 2*n**2 - 2*n**2) - 3*n**3 + n**3 + 0*n**3. 32*n**3 Expand ((-5 - 2*r**2 - 3*r**3 + 5)*(0 - 4 + 2) - 19*r**3 + 16*r**3 - 21*r**3 + (-2*r + 1 - 1)*(-3*r**2 + 5*r**2 - 3*r**2))*(-4*r + 9*r + 0*r). -80*r**4 + 20*r**3 Expand (2 - 2 + 0 - 10)*(n + 3*n - 3*n). -10*n Expand (3 - 3 - a)*(362 + 273 - 225)*(a + a + 0*a). -820*a**2 Expand 5*t**3 - t**3 - t**3 + (17*t - 17*t - 5*t**3)*(3 + 3 - 5) + 5*t**3 - 2*t**3 - 4*t**3 + 0 + 0 - 2*t**3 + (t**2 - 3*t**2 - 3*t**2)*(-1 + t + 1). -10*t**3 Expand 4*b**3 - 5*b**4 - 4*b**3 + (-16 + 16 - 16*b**2)*(3*b**2 - 2*b**2 + b**2). -37*b**4 Expand (-9 + 9 + 5*l**2)*(l**2 + 4*l - 6*l + 7*l). 5*l**4 + 25*l**3 Expand ((-t - 2*t - t)*(2 + 3 - 3) + 1 - 1 + 6*t)*(91 + 3*t**3 - 91). -6*t**4 Expand (s**2 + 4*s**2 - 6*s**2)*(-35*s + 14*s - 6*s)*(-4 + 0 + 5)*(1 + 1 - 1) + (s + 0 + 0)*(3*s**2 - 3*s**2 - s**2) + 0*s**3 - 5*s**3 + 4*s**3. 25*s**3 Expand (-2*l**3 + 1 - 1)*(-l + 4*l - l) - l**4 - l**2 + l**2 - l**4 + l**4 - 3*l**4 - 5*l**3 + l**4 - 45*l + l**4 + 42*l. -6*l**4 - 5*l**3 - 3*l Expand (-d**2 - d**2 + 0*d**2)*(25 + 9 - 18). -32*d**2 Expand (0 - 1 - 1)*(-72*w + 7013 - 7013)*(-6 + w + 4 + 0). 144*w**2 - 288*w Expand -z**3 - z**3 - z**3 + (8*z**2 + 9*z - 9*z)*(61 - 11*z - 61). -91*z**3 Expand (0 + 0 - b)*(-87*b - 48*b + 188*b) - 5 - b**2 + 5 + (0 - 3 + 1)*(-3*b**2 + 6*b**2 - 2*b**2). -56*b**2 Expand -20*w**4 + 20*w**4 - w**5 + 10*w**5 + w**3 - w**3 + (0*w + 2*w**2 + 0*w)*(3*w + w**3 - 3*w). 11*w**5 Expand 16*n - 16*n + 7*n**2 + (-1 + 1 + n)*(-13 + 13 - 12*n) - 3*n - 4*n**2 + 3*n. -9*n**2 Expand (0 + 0 - 2*p)*(-3 + 4*p**3 + 3) - 2*p**4 + 1 + 8 + 2. -10*p**4 + 11 Expand (-5 + 5 - 2)*(1 - 1 + 2*j**2 + (-4 - 2*j + 4)*(0*j + 5*j - 3*j) + 3 + j**2 - 3)*(-241*j + 10*j - 80*j). -622*j**3 Expand -h**2 + h**2 + h**5 + (-2*h**2 - 24*h**2 - 53*h**2)*(0 + h**3 + 0). -78*h**5 Expand (1 + 1 - 1)*(-9 + 9 + 7*x) - 21*x - 45*x + 99*x + (-4 - 1 + 3)*(1 - 2*x - 1). 44*x Expand (0 + 0 + 2*v**2)*(3113 - 490*v**2 - 3113). -980*v**4 Expand (-2*k**5 - 20*k**4 + 20*k**4 + (0*k**4 - 2*k**4 + 0*k**4)*(-2 + 2 + k))*(3 - 3 + 4). -16*k**5 Expand -298*w + 633*w - 4 - 316*w + (w + 3*w - 3*w)*(3 - 3 - 2). 17*w - 4 Expand (-1 - 1 + 3)*(1 + 1 + 2)*(61*b - 42*b + 95*b). 456*b Expand (-1 + 5 - 1)*(-146 + 293 - 36*i + 88*i - 146). 156*i + 3 Expand (-c**2 + 0*c**2 + 0*c**2)*(c - 1 + 1)*(762 - 762 - 48*c) + (3*c**2 - 2*c**2 - 2*c**2)*(1 - 1 - 2*c**2). 50*c**4 Expand (-2 - 24*w - 41*w + 36*w)*(-6*w**2 - 3*w**2 + 7*w**2). 58*w**3 + 4*w**2 Expand (6 + 2*h**3 - 4 - 4*h**3)*(-7 + 7 + 7*h**2 + 3*h**2 - h**2 + h**2 + (3*h + 2*h - 4*h)*(23*h + 66 - 66)). -66*h**5 + 66*h**2 Expand 3 - d**5 - 3 + (-4*d**5 + d**5 + 7*d**5)*(15 + 2 - 1). 63*d**5 Expand -84*x + 0 + 183*x + 2 + (0 + 4 - 3)*(6*x - 3*x - 4*x) + x - 1 + 1 + 3 + 2*x - 3. 101*x + 2 Expand (z**2 + 2*z - 2*z)*(-z**3 + 3*z**3 - z**3) + z**5 - 3*z - 3*z**5 - z. -z**5 - 4*z Expand (0*d**2 - 5*d**2 + 2*d**2)*(7 - 2 - 3)*(4 - 1 + 9). -72*d**2 Expand (((-3 + 1 + 3)*(3 + 0 - 2) + 3 - 4 - 1 - 3 + 0 + 2)*(3 + 1 + 1) + 0 + 0 - 1)*(-23*j + 13*j - 41*j). 561*j Expand (-16*q - 31 + 31)*(0*q - q**3 + q + 3*q**3). -32*q**4 - 16*q**2 Expand (k + 2*k + 2*k)*((3 + 7 - 13)*(-1 + 1 + 2) - 3 - 2 + 2). -45*k Expand (2 - 2 - c)*(19*c - 84*c**2 + 168*c**2 - 83*c**2). -c**3 - 19*c**2 Expand (2*z + z - 4*z + (3*z - 3*z + z)*(6 - 2 + 2))*(5*z**2 + 0*z**2 - 56*z**3 + 57*z**3). 5*z**4 + 25*z**3 Expand (0 + 0 - y)*(74 + 120 - 131) - 2 - 3*y + 2. -66*y Expand (-45*r + 95*r - 44*r)*(5 - 6*r**4 - 5) - 2*r**5 - r**5 + r**5. -38*r**5 Expand (3*f - 2*f + 0*f + f + f - 4*f + (-1 + 2 + 0)*(-f + 0*f + 0*f))*(225*f + 106927 - 106927). -450*f**2 Expand (9*b - 15*b - b)*(2 + 9 - 16)*(3*b**4 - 2*b**4 - 3*b**4). -70*b**5 Expand -8*x**4 + 2*x**4 - 7*x**4 - 2*x**4 + x**4 + 6*x**4 + (-2*x**3 + x**3 - x**3)*(3*x + 4*x - 4*x). -14*x**4 Expand (-19*t**3 - 10*t**3 - 19*t**3)*(3*t - 3*t + t + (0*t - 6*t + 4*t)*(-1 + 3 + 0) + 1 - 1 - t). 192*t**4 Expand (130*r + 190*r + 20*r - 53*r)*(-2*r - 5*r + r). -1722*r**2 Expand 0*w - 4*w - 4*w**5 + 3*w**5 + ((-4*w + 3*w - w)*(-4*w + 2*w + 3*w) + 0 + 0 - w**2)*(-5*w**3 + 2*w**3 + 5*w**3). -7*w**5 - 4*w Expand (3*w - 2*w + w)*(426*w + 213*w + 423*w). 2124*w**2 Expand (-187 - 11 - 96)*(1 - 1 - 2*m**4). 588*m**4 Expand d**3 - 4*d**3 + 2*d**3 + 2*d**3 + 2*d**2 - 2*d**2 + (-5*d**2 + 15*d**2 + 5*d**2)*(d - 4*d + 4*d). 16*d**3 Expand (3*a**4 - 3*a**4 + 2*a**4)*(91*a - 174*a - 33*a - 60*a). -352*a**5 Expand (-5*k**2 - 2*k**2 + k**2)*(-k + 0*k + 3*k)*(0 + 0 - 3*k**2). 36*k**5 Expand ((-2 + 2 + c)*(3 - 4 - 1) + 1 - c - 1)*(-1 + 1 - 2)*(-c + c - c)*(-4*c + 10 - 10). 24*c**3 Expand (-2*k**2 - 2*k + 2*k)*(2 - 2 - k**2 + (-2 + 3 - 3)*(-k**2 - 3*k**2 + 2*k**2)). -6*k**4 Expand (5 - 2*o**2 - 5 + (-3*o + 6*o - o)*(-o + 2 - 2) + 0*o**2 + 0*o**2 + 2*o**2)*(3 - 5 + 4*o - 10*o). 12*o**3 + 4*o**2 Expand -q**5 + 3*q**5 + 0*q**5 + (4*q - 2*q - q + (2*q + q + 0*q)*(-4 + 1 + 2))*(-2*q**4 - 2 + 2). 6*q**5 Expand 2*f - 5*f + 2*f + (2*f + 3*f - 3*f)*(2 - 4 + 5) - f + 2*f + 0*f + 1 - f - 1 + (5 - 1 - 2)*(-3*f + 4*f + 0*f) + (1 + 4 - 6)*(0 + 0 + f). 6*f Expand (16 - 9 - 12)*(0 + 2 - 1)*(12*d - 31*d + 9*d)*(2*d - 2*d + 3*d). 150*d**2 Expand (-3*p**3 - p + p)*(p - p + 3*p**2) + (-2*p - p + 0*p)*(5*p**4 - 9*p**4 + 5*p**4). -12*p**5 Expand (96 + 3 - 46)*(-2 + 2 + 1)*(3 + 0 - 2*p - 4). -106*p - 53 Expand (2*d + 22*d + 25*d)*(-33*d - 2*d**4 + 15 + 33*d). -98*d**5 + 735*d Expand (4*k**2 + k**2 - 3*k**2 - 4*k**2 + 3*k**2 + 2*k**2 - 2*k**2 - 2*k**2 + 6*k**2 + (2 - 2 - 2*k)*(-3*k + 3*k + 2*k))*(-4 + 2 + 5)*(3 - 5 - 11). -39*k**2 Expand 2*p**3 + p - 26*p**2 + 15*p**4 - 4*p**4 - 10*p**4 + (5*p**4 - 3*p**4 - 3*p**4)*(3 - 4 + 3) - 5*p**4 + 2*p**4 + p**4 + 3 - 2*p**4 - 3. -5*p**4 + 2*p**3 - 26*p**2 + p Expand b**5 - b**5 + b**5 + b**5 + 2*b**4 - 2*b**4 + (0*b**3 - 5*b**3 + 2*b**3)*(5*b + 7 - 7)*(-2*b - 3*b - 4*b). 137*b**5 Expand (-21 + 43 - 27)*(4*l - 3*l - 2*l) - 2*l + 2*l - 2*l. 3*l Expand (-46*n - 171*n - 221*n)*(0*n + 5*n - n). -1752*n**2 Expand (-6 + 4 + 15)*(-9*l**4 - 7*l**4 + 21*l**4). 65*l**4 Expand (-4*w**3 + w**3 + 2*w**3)*(-2*w + 9*w - 5*w + (1 + w - 1)*(-22 + 11 + 13)) - 5*w**3 + 5*w**3 - 2*w**4. -6*w**4 Expand (-2*d + d + 3*d - 4*d - 2*d + 5*d + (0 + 1 + 1)*(-3*d + 2*d + 2*d) + 25 - 2*d - 25 + 8 - 8 + d)*((2*d - 4*d + 4*d)*(d + 0*d + d) + d**2 - d**2 + d**2). 10*d**3 Expand (3*r**2 - 27 - r**2 + 22)*(2 + 2*r - 2). 4*r**3 - 10*r Expand (-3 + 3 - l)*(1 - 3 + 7)*((0*l - l + 3*l)*(0 - 4 + 5) - 10*l - 74 + 74). 40*l**2 Expand (-1 - 714*m**4 + 1441*m**4 - 713*m**4)*(3 - 2 - 3). -28*m**4 + 2 Expand (4*f - 4*f + f)*(-63*f + 63*f - 120*f + 3 + 7). -120*f**2 + 10*f Expand (-2*p**3 + 2*p**3 + 2*p**5)*(5 + 0 - 3)*(3 - 1 - 1) + 293*p**5 - 160*p**5 - 163*p**5. -26*p**5 Expand (-1 + 1 - 2*a)*(0*a + 5*a - 3*a) + 2*a**2 - 2 + 2 + (7*a**2 + 15*a**2 - 98*a**2)*(0 - 1 + 4). -230*a**2 Expand 127*n - 122*n - 72*n + (-3 + 2 + 0)*(n + 0*n + 0*n). -68*n Expand (-8*b - 12 + 12 + (-3 + 5 + 1)*(2*b - 2*b + 2*b))*(1 - 9 + 2). 12*b Expand (217*q + 29*q + 164*q)*(-4*q**4 - 3*q + 3*q). -1640*q**5 Expand -3*d - d**4 + 3*d + (-112*d**3 + 48*d**3 + 53*d**3)*(-4*d + d + 2*d)*(10 - 12 - 2). -45*d**4 Ex
{ "pile_set_name": "DM Mathematics" }
uming k is positive. k**(-8315/198) Simplify ((d*d/(d**(-7)*d))/(d*d*d**(-3/8)*d)*d**3*d**(-2/9)/d)**(-31) assuming d is positive. d**(-15965/72) Simplify (n**(5/3)/n**(-13))/(n**9/n*n*n**10/n) assuming n is positive. n**(-10/3) Simplify (l**0*l**(1/3)/l*l)/(l**(-1))**1 assuming l is positive. l**(4/3) Simplify (((g*g*g**(-3/4)*g*g)/g*g)/g)**(3/25)*(g/(g/g**(2/13)*g))**(-26) assuming g is positive. g**(2227/100) Simplify (p/(p/p**0))**(4/5)*p*p*p*p/((p/(p*p**1/p*p*p))/p*p)*p*p**(-11) assuming p is positive. p**(-4) Simplify ((o*o**(1/5)/o)/(o*o**(-1/7)))/(o/(o*o*o/(o**(-2/13)*o)))**(-17/2) assuming o is positive. o**(-9523/910) Simplify ((x**(-4/3)*x)/(x/((x*x**(-2/37))/x)))/((x/(((((x*x**(2/9)*x)/x)/x)/x)/x))/(x/(x/((x*x/(x/(x/(x*x*x/(x*x*x**12))*x)))/x*x)))) assuming x is positive. x**(3275/333) Simplify ((((k*k**(-2/7))/k)/(k*(k**(-7)*k*k)/k*k))/(k**(-4/11)*k/(((k**(4/7)/k)/k)/k)*k))**(-2) assuming k is positive. k**(54/77) Simplify (a**(2/7)/a)**(1/3)/((a/((a**(-1/29)/a)/a*a))/((a/a**(-2/27)*a*a)/a)) assuming a is positive. a**(-1088/5481) Simplify (t*t/t**(-12/13))/(t*t**(-20))*t**(2/43)*(((t/t**(8/9))/t)/t)/t assuming t is positive. t**(95995/5031) Simplify (((s*s*(s**4*s)/s*s*s)/(s/s**(3/4)))/(s**(-2)*s)**(4/37))**(-38) assuming s is positive. s**(-22097/74) Simplify (n/(n*n**4)*n*n)**(-27)/((n**(-7)/n*n)/(n/(n*(n/(n*n/n**(-9)*n))/n))) assuming n is positive. n**73 Simplify j/(j**3*j*j)*j**(1/9)/j*j*j**(-5)/((j*j*(j/j**(-5/2))/j)/j) assuming j is positive. j**(-223/18) Simplify (x*x/(x/((x/((x*x**(-8)/x*x)/x))/x))*x/(x/(x/(x*x**(-17)))))/((x/(x*x**18))/x**(-2/7)) assuming x is positive. x**(306/7) Simplify ((a/a**8*a)/a)**(-4/5)*a**(-2)/(a**(-29)*a) assuming a is positive. a**(158/5) Simplify ((j*j**(2/29)*j)/j**(2/11))/((j*(j/(j**13/j*j))/j*j*j)/(j*((j*j*j*((j*j**11*j)/j)/j)/j)/j)) assuming j is positive. j**(7939/319) Simplify c*(c**9*c*c)/c*c*c*c**0*c**5*c**(-11) assuming c is positive. c**7 Simplify h**10*h**(-10/7)*h**19/(h**(-23)*h) assuming h is positive. h**(347/7) Simplify (l**(-2)/l*l**(-1/5))**35 assuming l is positive. l**(-112) Simplify ((g**(-7/3)/g*g*g*g*g**(-4))/(g**(1/13)*g**(1/4)*g))**30 assuming g is positive. g**(-4415/26) Simplify ((n/(n/n**(-21)))/((n/n**(-1))/n))**25 assuming n is positive. n**(-550) Simplify (c*c**(-3)*c)**(-25)/((c**(-2)*c)/c**(2/27)) assuming c is positive. c**(704/27) Simplify (u**(-3/7)*u*u**(-13))/(u/(u*u**(-2)*u))**(-8/3) assuming u is positive. u**(-205/21) Simplify i**(-8)/(i*i/((i/(i**(-24)/i))/i))*i**(-18)/i**(-5/9) assuming i is positive. i**(-22/9) Simplify ((j**(-6/25)/j)/(j/j**19))/(j**(-14))**(7/2) assuming j is positive. j**(1644/25) Simplify w*w**(-12)*w**(-6)*(w*w**(-5))/(w*w**12) assuming w is positive. w**(-34) Simplify ((p/p**(-11))/(p**(5/2)*p))/(p*p**6/p)**(-12) assuming p is positive. p**(161/2) Simplify ((h/h**0*h)/h)**(11/4)*((h*h**(-2))/h)**(4/7) assuming h is positive. h**(45/28) Simplify ((a**(1/3)*a*a*a)/a)**(2/37)*a**(-3)/(a*a**(-5)) assuming a is positive. a**(125/111) Simplify (m**(-2/9)/m)**(-27)*(((m*(m**3*m)/m)/m)/m)/m**(-5/4) assuming m is positive. m**(145/4) Simplify p**8/p*p**(-10)*p**(-1/11)*p**(-1)/p assuming p is positive. p**(-56/11) Simplify (j**(1/3))**1/(j**(1/2))**6 assuming j is positive. j**(-8/3) Simplify j/(j*j*j*(j**4*j*j)/j*j*j)*j**(2/5)*(j/j**(2/25)*j*j)**(-14) assuming j is positive. j**(-1237/25) Simplify (g**(-4))**(2/29)/((g*g**(-15))/(g/g**(-26)*g)) assuming g is positive. g**(1210/29) Simplify ((h**(-1)*h)**(15/2)/(h**(3/4)/h*(h**3*h)/h))**(-28/5) assuming h is positive. h**(77/5) Simplify (((f**(-2)*f)/f)/f*f)/(f/(f/f**3))*f**0/f**(-11) assuming f is positive. f**6 Simplify (((n**(-3/7)/n)/(n/((n*n**0/n)/n)))**44)**47 assuming n is positive. n**(-49632/7) Simplify (y*y**0*y)**49*y**7/y**5 assuming y is positive. y**100 Simplify (s**4/(((s**6/s)/s)/s)*s**7*s*s**(-5))**(-18) assuming s is positive. s**(-72) Simplify (v/v**(-3/7))/v*v**(-1/35)*v**(-28)*v*(v/v**(-1/27))/v*v*v assuming v is positive. v**(-3316/135) Simplify ((t**(-3/4)*t*(t**(-3/4)*t)/t)**9)**(-43) assuming t is positive. t**(387/2) Simplify b**(-2)/b*b*b**(-2/29)*b/b**(-2/71)*b**(-5/2) assuming b is positive. b**(-14581/4118) Simplify (((a/(a*a*a**(-15/2)))/a)/(a/(a**(1/3)*a)))/(a**(-2/15)/(a**18/a)) assuming a is positive. a**(689/30) Simplify (u**(-13))**(-23)/(u**16)**(-30) assuming u is positive. u**779 Simplify (t*t**0*t)**9/((t/(t*t*t/t**(-1/4)*t))/t*t)**(2/89) assuming t is positive. t**(3217/178) Simplify ((u**(-1))**(-1/27)*u*u**(-2/3)*u*u*u**(-3)/u*u)**(-8/9) assuming u is positive. u**(136/243) Simplify (k*(k/k**(1/9))/k*k**22)/(k/(k**5/k*k))**(3/8) assuming k is positive. k**(439/18) Simplify ((i*i**(-1))/i*i)/i**(4/7)*i*i**(1/14)*i**(-7/5) assuming i is positive. i**(-9/10) Simplify ((z/z**(-7/5))/(z*z/(z/((z*z**(-2))/z))*z*z))/((z/z**(-6))/z**(4/13)) assuming z is positive. z**(-344/65) Simplify (q**4*q**8)/(q**(-2/27)*(q**3*q)/q) assuming q is positive. q**(245/27) Simplify (w*(w/((w/(w/(w*w/((w/(w**(-1/4)*w))/w))*w))/w*w))/w*w*w**(-5))/(w**(-2/13))**(32/3) assuming w is positive. w**(-485/156) Simplify (j**(1/2)*j*j*j**(4/9)*j*(j**(-1))**28)**30 assuming j is positive. j**(-2165/3) Simplify ((j**(-1))**(2/31)/(j**3*j*j**(5/4)))**(-18) assuming j is positive. j**(5931/62) Simplify ((h*h**(-7/5)*h)**(-5/4))**(-7/3) assuming h is positive. h**(7/4) Simplify (n*n*n**(12/7)*n/n**(-9)*(n/((n**5/n)/n))/n**11)**5 assuming n is positive. n**(25/7) Simplify ((z/((z/z**(2/5))/z*z*z))**22/((z**(4/3)/z)/(z/(z/(z*z**4*z*z)))))**8 assuming z is positive. z**(-784/15) Simplify (d**(-15/4)*d*d**5)**(-2/5) assuming d is positive. d**(-9/10) Simplify ((k*k*(k*k**16)/k)/(k/(k**8*k)))/(k**(-3/20)/(k**(1/15)*k)) assuming k is positive. k**(1633/60) Simplify ((f**(-2/9)/f*f)/f**(-5))**(-2/89) assuming f is positive. f**(-86/801) Simplify (h**(3/13)*h**(-21))**13 assuming h is positive. h**(-270) Simplify ((u*u*u*u**(1/2))**(-1/15)*(u*u**(-2/7)*u)**(-3/17))**(-2/51) assuming u is positive. u**(1913/91035) Simplify ((l**(-12)/l*l*((l/(l/(l*l*l**22)))/l*l)/l)**(-11))**(-36) assuming l is positive. l**4356 Simplify ((y**(-5/2)*y)/y**(1/19))**(-32) assuming y is positive. y**(944/19) Simplify (((m*m**(1/6))/(m*m**(-1/10)))/(m/(m/m**(-2)))**17)**(-2/19) assuming m is positive. m**(-1028/285) Simplify (u**(-2)/u**8*(u**2)**2)**(-23) assuming u is positive. u**138 Simplify (((h/(((h/(h*h**6*h*h))/h*h*h)/h))/(h*h*h/h**(2/19)*h))**(-46))**(-3/14) assuming h is positive. h**(6693/133) Simplify (m**(19/4)*m)/m**(-3/11)*(m**(2/15))**(-38) assuming m is positive. m**(631/660) Simplify k**(-2/21)*k**(-11)*(k*k*k/(k**(2/3)/k)*k)**(-3/17) assuming k is positive. k**(-4234/357) Simplify (f**6*f*f**(1/4)*f**10/(f**9/f))**(-41) assuming f is positive. f**(-1517/4) Simplify f*f**(-3/5)*f**(-2)*f*(f**(2/3))**(-4/43) assuming f is positive. f**(-427/645) Simplify (o**(-4)*o)**(-1/24)*(o/o**(-1/14)*o)/((o/(o**(-14/9)*o*o)*o)/o) assuming o is positive. o**(827/504) Simplify (b*b**(2/13)*b)**(3/11)/(b*b**(-2))**(-25) assuming b is positive. b**(-3491/143) Simplify (g**(-40)*g**6*g*g)**(-1/2) assuming g is positive. g**16 Simplify (((m/(m*(((m**(1/4)*m)/m)/m)/m)*m)/m)**(2/47)/(m**(-2)*(m**11/m)/m*m))**(1/23) assuming m is positive. m**(-745/2162) Simplify (y**(1/11))**(-2/67)/(y**(-1/20)/y**6) assuming y is positive. y**(89137/14740) Simplify ((t*t/t**(-3)*t**(-6))**(-1/76))**(2/31) assuming t is positive. t**(1/1178) Simplify ((((a/((a/(a/(a/((a/(a/(a*a/a**(-6/11))))/a*a)))*a)/a))/a)/a)/a**(-2/53))**(49/3) assuming a is positive. a**(16660/1749) Simplify i*i**(-6/11)*i**(-2/9)*i*i**(-34)*i**(-30/7) assuming i is positive. i**(-25678/693) Simplify p**(-8)/(p/(p**4*p)*p*p)*(p**14*p)/(p*p**7/p) assuming p is positive. p**2 Simplify (i**11)**(4/15)*i**(-13/2)/i*i**11 assuming i is positive. i**(193/30) Simplify (s**(2/9)*s*s**(-4/7))/(s**(19/5)/(s*(s/(s**13*s))/s)) assuming s is positive. s**(-5087/315) Simplify (i**0)**48/(i**(3/4)*i**7) assuming i is positive. i**(-31/4) Simplify d**(-26)/d*d/(d**(-19)*d)*(d*(d/(((d*d**(-25))/d)/d*d))/d)/(d/((d**(-3/5)*d)/d)) assuming d is positive. d**(82/5) Simplify ((a*a**24)/a)**(3/5)*a*a*a**(4/23)*a*a*a*a*((a**(-10)/a)/a)/a assuming a is positive. a**(871/115) Sim
{ "pile_set_name": "DM Mathematics" }
hat is the units digit of -2*(-2 - 4/v)? 2 Suppose 60 = 5*t - 490. What is the tens digit of t? 1 Suppose -8*q + 10*q + 4*b - 4698 = 0, -16 = -4*b. What is the thousands digit of q? 2 What is the thousands digit of (-1 + -24)*(1506/(-10))/3? 1 Let m(t) be the first derivative of 2*t**3/3 + 9*t**2/2 + 18*t + 6. What is the tens digit of m(-8)? 7 Suppose 0 = -5*m - 3*x - 11, -m + 4*x + 6 + 1 = 0. Let y = 1 - m. Suppose 0 = j + y*a - 3*a - 27, -2*j - 4*a + 48 = 0. What is the tens digit of j? 2 Suppose 258 = 4*v - r, 2*v - r - 2*r = 134. Let c = v + -42. What is the units digit of c? 2 Let v = -446 + 304. Let p = -91 - v. What is the units digit of p? 1 Let g(y) = 6*y. Let v be g(-2). Let h = 19 - v. Let r = h + 1. What is the tens digit of r? 3 Suppose 0*i - i + 3*j + 4 = 0, -j = 0. Suppose -572 = -i*c + 16. What is the units digit of c? 7 Suppose -4*q - 2*s = s - 10, 0 = -q + 5*s + 14. Let k be 2/4 - q/(-8). What is the units digit of (6/(-2))/(0 - k)? 3 Suppose -13536 = 19*y - 39756. What is the tens digit of y? 8 Suppose -13*r - 17518 = -32*r. What is the units digit of r? 2 Suppose -69*i + i = -42160. What is the tens digit of i? 2 Let v(q) be the third derivative of -q**4/6 - 5*q**3/6 - q**2. Suppose 5*i - l = -32, -i + 5*i - 2*l + 22 = 0. What is the units digit of v(i)? 3 Suppose 4*m - 16753 = -0*m - 3*p, -2*m = -4*p - 8382. What is the units digit of m? 9 Let k(h) = h + 4. Let r be k(4). Suppose -i = -0*i - r. What is the units digit of i? 8 Let f = -281 + 428. What is the tens digit of f? 4 Suppose -a + 8 = 3*a. Suppose -a*b = -6 - 2. Suppose -96 = -b*c + 128. What is the tens digit of c? 5 Let o(l) = 20*l**2 - 10*l + 20. What is the tens digit of o(-10)? 2 Let p(n) be the first derivative of n**3/3 - 3*n**2/2 + 2*n - 11. What is the units digit of p(-6)? 6 Suppose -6*k - 12 = -8*k. What is the hundreds digit of (-2)/(-3)*-3 - (-1122)/k? 1 Let i be (2/1)/((-8)/(-176)). Suppose -4*o - 20 + i = 0. Suppose -o*x + 168 = x. What is the units digit of x? 4 Let b(h) = 2784*h**2. Let t(z) = -z**2. Let j(p) = -b(p) - 3712*t(p). Let c be j(1). What is the units digit of c/14 + (-8)/28? 6 Suppose 3453 = 3*w - 5*b, -4*w + 4*b + 4612 = -0*w. What is the hundreds digit of w? 1 Suppose -5*d = -0*d - 15. Suppose -d*t = -5*a + 221, -a - 4*t + 18 + 40 = 0. What is the tens digit of a? 4 What is the units digit of (2 - (2 + 2))*18986/(-44)? 3 What is the hundreds digit of 4/(-34) - (-66120)/493? 1 Let t(y) be the second derivative of 8*y**4/3 + y**3/6 + 8*y. Let k be t(1). Let j = 13 + k. What is the units digit of j? 6 Let s(q) = -7 - q + 14 + 4. Let f be s(-5). Let t = 52 - f. What is the tens digit of t? 3 Suppose 147608 = -65*w + 428798. What is the units digit of w? 6 Let i = 5430 + -3357. What is the thousands digit of i? 2 Let i be 7/((-3)/(-3)) - -1. Let w be ((-45)/(-10))/((-1)/i). What is the units digit of -16*(-3 - w/16)? 2 Let a(t) = -14*t - 5. Let u be a(-9). Suppose 4*f + 33 - u = 0. Let b = -8 + f. What is the tens digit of b? 1 What is the units digit of 654/8 - (-11 + 430/40)? 2 What is the hundreds digit of (-4572)/(-14) - (-444)/(-777)? 3 Let s = -15 - -15. Suppose -5*w = -s + 10. What is the tens digit of 3/((-6)/10)*w? 1 Let x = -47 + 390. What is the tens digit of x? 4 Suppose 5 = -7*t + 6*t, -2*t + 1836 = q. What is the units digit of q? 6 Suppose -2*f = -6*f. Suppose f = -0*m - 4*m + 48. Let i = m - 4. What is the units digit of i? 8 Let l(p) = -6*p - 14. Let f = -35 + 11. What is the units digit of l(f)? 0 Let s = 12 - -720. What is the units digit of s? 2 What is the hundreds digit of 23/69*(-33984)/(-4)? 8 Suppose -9*y + 12222 = 603. What is the thousands digit of y? 1 Let c = -2 - -2. Let s be (0 - c) + 12/12. Suppose -2 = -j - s. What is the units digit of j? 1 Let q = 3 + -3. Let d(h) = -3*h + q*h - 8*h. What is the units digit of d(-3)? 3 Let n = 520 + -294. Suppose -2*l = l + 4*i + 173, 4*l + 3*i = -n. Let u = 100 + l. What is the tens digit of u? 4 What is the thousands digit of (-8)/10*(-10470)/4 - 2? 2 Let a(k) = -k**2 + 5*k. Let u be a(4). Suppose 5*p + 0*x + 39 = -4*x, 0 = u*p - 3*x + 25. Let z = p + 9. What is the units digit of z? 2 Suppose -5*n - 56 = 54. Suppose 0 = u - 7 + 52. Let i = n - u. What is the tens digit of i? 2 Suppose -7*f + 6*f - 3388 = -3*u, 1136 = u + 3*f. What is the units digit of u? 0 Let w(r) = -r**3 - 18*r**2 + r + 21. Let g be w(-18). Suppose g*z - 4*z + s = -121, 3*s + 244 = 2*z. What is the tens digit of z? 1 Let d(p) = -33*p + 11. Let v be d(8). Let y = v + 444. What is the tens digit of y? 9 Suppose -55*y + 54*y = 28. Let s = 35 + y. What is the units digit of s? 7 Let c(r) = 4*r**2 + r + 1. Let q be c(-1). Suppose 4*z = 5*t - 79, -2*z + 82 = 5*t - 21. Let l = t - q. What is the units digit of l? 5 Suppose -94*u + 16*u = -42354. What is the units digit of u? 3 Let d be 2 + -3 + 4 - 9. Let t = -6 - d. Suppose t = s + 5*m + 22 - 78, -82 = -2*s - 4*m. What is the units digit of s? 1 Let s(l) be the second derivative of -l**5/20 + 7*l**4/12 + 4*l**3/3 - 5*l**2 + 25*l. What is the tens digit of s(6)? 7 Suppose -5*d - 123 = -8088. What is the hundreds digit of d? 5 Suppose -16*n - 2*r = -15*n + 2, -4*n = 2*r + 14. Let x(h) = -4*h + 4*h**2 - h - 3 + h**3 - 3. What is the tens digit of x(n)? 1 Let v(o) = 4*o**2 + 3*o. Let s(j) = -3*j**2 + 12*j**2 + 2*j**2 + 8*j. Let z(f) = 3*s(f) - 8*v(f). What is the tens digit of z(-5)? 2 Let d(a) = a**2 - 7*a + 3. Let b be d(7). Suppose 0*l - 4*l = 12, 2*l + 45 = b*i. What is the units digit of i? 3 Let v be (5/(-10))/((-3)/24). Suppose -11*c + 9*c = -v. Suppose -c*l + 5*l = 108. What is the units digit of l? 6 Let m be 2/6 + (-42)/(-9). Suppose -56 = -m*g + 34. What is the tens digit of g? 1 Let q(n) be the third derivative of 11*n**4/24 - 5*n**3/3 + n**2. Let y be (-32)/(-28)*14/4. What is the units digit of q(y)? 4 Let c be (-1)/(-1)*(16 + -5). Suppose -5*q = 3*a - 486, -c*q + 7*q = -4*a + 616. What is the units digit of a? 7 Let p be (-8)/28 + (-58)/(-7). Let t be (p/12)/(2/15). Suppose 5*s + 4*w = 124 + 161, t*w = -25. What is the tens digit of s? 6 Let o = 20 + -16. Let b(g) = 23*g + 6 - o - 2. What is the tens digit of b(1)? 2 Suppose -2*s + 2 + 108 = 0. Suppose -s = -3*m + 257. What is the hundreds digit of m? 1 Let j(a) = -a + 5. Let w = -1 + -4. Let h be j(w). What is the units digit of ((-4)/h)/((-4)/60)? 6 What is the units digit of 21*(-1)/(-3) + -6 + 370? 1 Let v(x) = x**3 - 3*x**2 - 4*x + 4. Let b be v(3). Let h(d) = d**2 - 5*d + 13. What is the hundreds digit of h(b)? 1 Let h(c) be the second derivative of -5*c**3/2 - 10*c**2 + 26*c. What is the hundreds digit of h(-10)? 1 Let q(w) = w**2 - 11*w - 13. Let y be q(11). Let i = y - -55. What is the units digit of i? 2 What is the tens digit of (9 - (1 + 2))*285? 1 Let n(r) = -r**3 - 2*r**2 + 2. Let t be n(-2). Let c be (-30)/(-1) - (t - 0). Suppose -u + 14 = -2*v, -2*u - v - 2*v + c = 0. What is the tens digit of u? 1 What is the hundreds digit of (-4598)/(-10) + 9/(2 - -43)? 4 Suppose 2286 + 847 = 13*x. What is the hundreds digit of x? 2 Let x(v) = 419*v**2 + 27*v - 78. What is the thousands digit of x(3)? 3 What is the hundreds digit of ((-8)/(-5))/((-28)/(-8400))? 4 What is the tens digit of 27/(1890/50500) + 6/(-14)? 2 Let y = -1465 + 1480. What is the units digit of y? 5 Suppose 0 = 2*p - 5 - 3. Suppose 0*d + 16 = q + 2*d, 3*q - 58 = p*d. Let r = -6 + q. What is the tens digit of r? 1 Let q(j) = -j**3 - 4*j**2 + 6*j + 4. Let l be q(-5). Let y be l/(-2) + (-2)/4. What is the units digit of 2/(-10)*y - -5? 5 Let l be 351/65 - (-4)/(-10). Suppose -52 = -l*a + 28. What is the units digit of a? 6 Let c be -1*-2*(3 - 1). Suppose -c*j = -2*j - 6. What is the units digit of (4 - 38/j)*-6? 2 Let z(a) = 685*a**2 - 164*a - 6. What is the tens digit of z(3)? 6 Let b(h) = -h**3 - 5*h**2 + 6*h + 3. Suppose 3*l + 6 = -12. Let p be b(l). Suppose f = -3, p*g - f = 1 + 8. What is the units digit of g? 2 What is the tens digit of 33 + -25 - -1*3713? 2 Let u be 2 + 97 + (-4 - -4). Let r = u - 64. What is the tens digit of r? 3 Let o = -28 - -18. Let d = o - -25. Suppose 3*j = 2*c - 5, 4*c - 5*c = j - d. What is the tens digit of c? 1 Suppose 5*s = -4*h + 27, -2*s - 2*s = -h - 9. Suppose -2*i - 2*m - s*m = -
{ "pile_set_name": "DM Mathematics" }
Let k = -6 + 11. Solve 2*b = y*b + k for b. -1 Suppose -n - h + 2*h = -1, 4*n - 10 = h. Suppose 2*j - 8*l + n*l + 43 = 0, -2*l + 46 = -4*j. Let p be j/54 - (-62)/12. Solve -f - 12 = -p*f for f. 3 Let b(d) = 5*d - 18. Let m be b(8). Suppose 5*k - 3 = m. Solve 0 = -k*j - 29 + 4 for j. -5 Let b be (4/(-6))/((-4)/(-30)). Let y be b + 2 - 1*-13. Suppose -t = t - y. Solve 3*c - 4 = t*c for c. -2 Suppose x - 12*x = -8*x. Suppose -i + 9 - 6 = x. Solve 0 = i*t + 4 + 11 for t. -5 Let j be 4 + (-130)/35 - (-19)/7. Solve -j*o + 8*o + 5 = 0 for o. -1 Let s = -8 - -4. Let i be ((-6)/s)/((-9)/(-30)). Let x = 65 + -61. Solve -x*m + 5*m = -i for m. -5 Let l(w) be the third derivative of -w**5/60 + w**4/24 + w**3/3 - 9*w**2. Let h be l(2). Solve h*a + 5 = 5*a for a. 1 Let r be (-11)/55 + 28/(-10). Let m be 10*((-15)/10)/r. Let o = 23 - 18. Solve -m*w + 4*w = o for w. -5 Suppose 3*k - 12 = -l, -2*l + 5*k = -5*l + 16. Let m = 3 + l. Let p be (-4 - (-6)/2)*m. Solve 0 = t - p - 3 for t. 3 Let d be 24/28*21*4/24. Solve -1 = d*p - 4*p for p. 1 Let l(f) = f**2 - 12*f + 56. Let d be l(8). Let w be (3/(-2))/(-3)*10. Solve -1 = w*m + d for m. -5 Let k = -52 + 57. Solve -9 + k = -2*g for g. 2 Let c = 25 + -21. Let x = c - 4. Suppose v + 0 - 4 = x. Solve -6*s = -v*s for s. 0 Suppose -44*n + 39*n = -515. Let v = n - 100. Solve -v*x = -4 - 2 for x. 2 Suppose 13*w - 11*w = 0. Suppose 5*t + 2*y - 10 = -3*y, 4*y = w. Solve t*u - 2 = 2 for u. 2 Let u(h) = -h**2 + 11*h - 10. Let m be u(9). Let x = 34 + -23. Let a be 4/22 - (-42)/x. Solve -a*q = -0*q + m for q. -2 Let c(p) = -p + 4. Let v be c(1). Solve -v*h - 2*h = 20 for h. -4 Suppose 63*g - 54*g = 9. Solve 5*k = -g - 4 for k. -1 Suppose t + 3 = 3*q, 4*q + 4*t = q - 12. Solve -i + 3*i - 10 = q for i. 5 Let l be ((-3)/(-1))/((-6)/(-10)). Let x = l - 3. Let o(j) = j**2 - 8*j - 48. Let s be o(-4). Solve s = -x*z - z + 9 for z. 3 Let d be 7 + 7 + 10 - 4. Solve y + 19 - d = 0 for y. 1 Let m = 255 - 250. Let z be (0 + -1)*(-28 + 7). Solve m*v + 4 = -z for v. -5 Let i be (88/55)/((12/6)/(-50)*-5). Suppose -3*a + 2*a = -4*w - 20, -4*a = -w - 5. Let j(k) = -k**2 - 7*k - 6. Let m be j(w). Solve i*p = m*p + 12 for p. 3 Let t(u) = -3*u + 8. Let x be t(-2). Suppose -x + 54 = 4*p. Let k(l) = -l. Let f be k(-4). Solve -f*q = -2*q + p for q. -5 Suppose 4*c = 5*z - 20 - 7, -5*c - 21 = -2*z. Let p be 9 + -1 - (z + -1 - 1). Solve -12 = -p*n + 4*n for n. 4 Let v = 63 - 61. Let r be (v/6 + (-6)/18)/2. Solve 2*a - 6*a = r for a. 0 Let u(i) = i**3 + 10*i**2 + 2. Let y be u(-10). Solve 7 - y = -5*o for o. -1 Let q(i) = i + 10. Let w be q(-10). Let p(b) = b**2 - 3*b - 8. Let r be p(-2). Solve r*h + 3*h = w for h. 0 Suppose -4 + 19 = -5*a + 4*y, -5*a - 4*y + 25 = 0. Suppose 3*l + 3 = 3*s, -13*s + 14 = -9*s + l. Solve -q = -s - a for q. 4 Suppose -2*f - 3*f = -20. Let d be f/6*(-4 + 10). Solve d*m - 14 = 2 for m. 4 Suppose 0 = -4*s - 3*m + 30 - 2, -5*s + 32 = 3*m. Solve 0 = s*b - 6*b for b. 0 Let r be (-2)/(-4) + (-47)/(-2). Let t be 4/(-8) - (-27)/6. Solve -t + r = -5*n for n. -4 Suppose 2*j - j = s - 89, 4*s = 5*j + 356. Suppose l + 3*l + 3*f + s = 0, 5*l + 111 = -4*f. Let c = -22 - l. Solve -c = -h + 2*h for h. -1 Let o(u) = -7*u**2 + u + 1. Let m(p) = 3*p**2 - 1. Let v(h) = 5*m(h) + 2*o(h). Let k be v(-4). Solve k*r - 8 = 2 for r. 2 Let v(c) = c + 7. Let a be v(-5). Suppose 3*t - 4*o + 33 = 0, -4*t - 27 = -t - a*o. Let y = t - -9. Solve -h = -y*h for h. 0 Let k = 56 - 48. Solve 7*v + 3 = k*v for v. 3 Let z be ((-10)/4)/(9/(-18)). Suppose 0 = y - 6*y + z. Suppose -3*a - i + 2 = -y, 0 = -a - 3*i - 7. Solve -3*n - a*n + 10 = 0 for n. 2 Let h = 1271 - 1269. Solve h*j = -93 + 85 for j. -4 Let z = -9 - -21. Suppose 0 = 5*s + 2*n - 0*n + 304, 5*s - 5*n = -290. Let p = 62 + s. Solve p*c = -c + z for c. 4 Suppose 48 = -13*f + 464. Solve 37 - f = -v for v. -5 Let i(q) = -2*q + 20 + q**2 - 27 - 9*q. Let l be i(12). Suppose -2*r = -4*f, -l*f + r = -r. Solve -2*a + 2 = -f*a for a. 1 Suppose 2*z + 0 = -g - 7, -4*z + 49 = -5*g. Let m(t) = t + 12. Let l be m(g). Let f be 2 - ((l - 4) + -3). Solve -14 = -4*b + f for b. 5 Suppose -3*m = 3*v + 33, 0 = -2*v - 0*v - 5*m - 25. Let b = 19 + v. Solve -2*p - p - b = 0 for p. -3 Suppose -2*c = -3*c + 4*d, -69 = -5*c - 3*d. Suppose -3*i + 3*h = -c, -h + 0 = i - 2. Suppose 2*a + 1 = 5. Solve y = -a*y - i for y. -1 Suppose -4*r + 3*n = 435 - 121, 5*n - 395 = 5*r. Let z = r + 100. Solve 3*b - z = -8 for b. 5 Suppose -2*a - 4*n = 12, -a = 3*a - 3*n - 31. Let l be 4/(-28)*-10*7. Solve -l = -3*w - a for w. 2 Let g = 17 - 26. Let h = -5 - g. Suppose -6 = r - h*r. Solve 3*w = r + 4 for w. 2 Let w = 52 - 27. Suppose 0*n = -n + w. Solve z = -4*z - n for z. -5 Let s = -67 + 91. Suppose -5*u = 5*w - 55, 7*u - w = 3*u + s. Solve 2*m = u*m - 5 for m. 1 Let u(a) = -3*a - 53. Let o(b) = b + 18. Let z(w) = 7*o(w) + 2*u(w). Let l be z(-16). Solve l*f - 8 = 12 for f. 5 Suppose -3*y = -4*a - 34, 2*y + 4*a = a. Suppose 92*k - 446 = -131*k. Solve 0 = y*h - k*h + 20 for h. -5 Let w(h) = 13*h + h**2 - 4 + 9 + h + 0. Let l be w(-14). Solve 2*v + 5 = -l for v. -5 Suppose -3*s - 8*g + 4*g - 17 = 0, -2*s - 8 = 2*g. Let n be -3 - s - (-17 - -8). Solve 0*w = n*w + 5 for w. -1 Let b = 30 - 25. Suppose -b*f + 10 = -25. Solve f = 2*t + 1 for t. 3 Let g be -4 + ((-12)/(-4) - (1 - 2)). Suppose -2*b - 3 = -0*b - 5*y, 5*b + 2*y - 36 = g. Solve b*f - 4*f + 4 = 0 for f. -2 Suppose 2*h + 2*h - 9 = m, -2*h + 3*m = 3. Let r = -5853 - -5864. Solve -h*y = -r - 4 for y. 5 Let n be (5/(-2))/((-3)/6). Suppose -x + 28 = -5*v, 3*v = 3*x - 2*v - 74. Suppose 4*p - a = 19, n = -3*p - 3*a + x. Solve -2*f = -f + p for f. -5 Let z be (1 + -2)*(-21 + 16). Solve -3*y = -z*y - 10 for y. -5 Suppose 2*v = 4*u, 5*v - 5 = -0*v + 5*u. Solve l = 5 - v for l. 3 Suppose 0 = -4*g - 4*r, -4*g - 8 + 3 = 5*r. Solve 2*o - g = 7*o for o. -1 Suppose -r = -11*r + 20. Solve 9 = r*m + m for m. 3 Let d be 130/(-50) - (-1)/10*-4. Let c be (-3 - (-5 + 3))*d. Suppose -4*j = -5*f - 69, f - 4*f - 48 = -3*j. Solve c*o = j + 1 for o. 4 Let v(h) = -h**3 + 5*h**2 - 7*h + 7. Let f be v(3). Solve 13*a - f*a = 0 for a. 0 Let x(i) = 2*i + 70. Let o be x(-32). Solve 4 - o = 2*s for s. -1 Let l = 15 + -15. Let f(m) = m**3 + 2*m + 2. Let b be f(l). Suppose 0*i - 2*i = 0. Solve i*o + b*o = 0 for o. 0 Suppose 4*o = -5*i + 7 + 19, 4*i + 4*o = 24. Solve 12*d = -14 + i for d. -1 Let n = 22 - 6. Suppose 8*r - 10 = 6*r - z, -4*r = -5*z + 8. Let p(g) = -g - 3. Let f be p(-3). Solve f = -r*q - q - n for q. -4 Let v(d) be the third derivative of -d**6/120 - 7*d**5/60 - 5*d**4/12 - 17*d**3/6 + 34*d**2. Let k be v(-6). Solve k*s - 5 = 2*s for s. 1 Suppose 6*x = 9*x - 12. Suppose -w + 4*u + 7 = 0, -w + 4 = -x*u + 3*u. Let g(t) = 4*t**2 - 2*t - 5. Let s be g(w). Solve 5*a = -0*a + s for a. 5 Suppose 0 = h + 3*g, h + g + 3*g = 0. Let r(b) = 13 + 2*b - 12*b + 3*b**2 + 3*b**3 - 2*b**3 - 11*b**2. Let v be r(9). Solve -v*j + 0*j - 12 = h for j. -3 Suppose 8*y = -16*y. Solve y = o - 2*o + 4 for o. 4 Let i(j) = -j**3 + 10*j**2 + 2*j - 8. Let y be i(10). Let p = y + -8. Let o = 28 - 26. Solve -4 = o*q + p for q. -4 Suppose q = 21 - 0. Let r = q + -15. Solve 3*j = j - r for j. -3 Let b = 1580 - 1576. Solve b = -10*j + 8*j for j. -2 Let f = 8 - 5. Let x = f + -1. Suppose 6*c = 9*c - 60. Solve -x*v - c = 3*v for v. -4 Let m(w) = 13*w - 3. Let y be m(2). Suppose 0 = 3*u + 6 - 3, -2*u + y = 5*f. Suppose -f*b + 0*b = x - 15, 4*b = 0. Solve -2*o - o - x = 0 for o. -5 Let w = -96 - -116. Solve 48*c - 43*c - w = 0 for c. 4 Suppose -5*g + 5*n = -95, 4*g - 2*n = -7*n + 31. Solve g*o - 1 = 13*o for o. 1 Suppose -8 = -2*o - 0*o. Suppose 3*z - o*p = -0*z + 21, -7 = -z - 3*p. Let v = z + -7. Solve -2*f = -v*f for f. 0 Let m be ((-7)/(-2))/(8/(-16)). Let x = -6 - m. Solve 5 = -4*i + x for i. -1 Let d = -67 - -67. Solve 0*b - 9*b + 36 = d for b. 4 Let d be 228/16 + 5/(-20). Let a = -12 + d. Solve a*t + 4 = 3*t for t. 4 Let a be ((-9)/4)/((-3)/(-12)). Let g(u) = u**2 + 8*u - 4. Let l be g(a). Solve -l*y - 34 = -9 for y. -5 Suppose -48 = 15*r - 17*r. Let i be 10 + -13 - r/(-2). Suppose i = -o + 4*o. Solve -o = w - 2*w for w. 3 Suppose j = -2*l + 15, -2*j = -7*l + 3*l + 10. Suppose 44 = l*n + o - 13, -3*n - o + 35 = 0. Let k = 6 - 3. Solve -k*m = -n + 2
{ "pile_set_name": "DM Mathematics" }
sqrt(10)*1))*1*5)**2. 15300 Simplify -4*(2*sqrt(288)*1 - (sqrt(288) + -1)*1)**2. -1156 - 96*sqrt(2) Simplify ((-2*sqrt(4050)*-5)/(((2*sqrt(90) - sqrt(90)) + sqrt(90))*-6 + sqrt(90)))**2. 4500/121 Simplify (-4*(4 + sqrt(7)) - (sqrt(7) - (sqrt(7) + (sqrt(56)/(sqrt(32)/sqrt(4)))**2)))*4. -16*sqrt(7) - 36 Simplify -4*(-3*(1 + sqrt(1088)) + 4*(-2 + sqrt(1088)))*3. -96*sqrt(17) + 132 Simplify ((sqrt(68) - (sqrt(68)*-1 + -5)) + -5 - (4*(-1 + sqrt(68)) + sqrt(68) + 0 + 1 + sqrt(68)))**2. -48*sqrt(17) + 1097 Simplify (5*sqrt(1000))/(sqrt(8) - (sqrt(128) - (sqrt(128) - -1*sqrt(128)))) + 2 + -1. 1 + 5*sqrt(5) Simplify (((sqrt(132)*1)/sqrt(12))**2 - (sqrt(11) + (sqrt(99))**2 + sqrt(11) + -1)) + -1 + sqrt(396). -88 + 4*sqrt(11) Simplify (0 + (-1 + sqrt(27)*-1 - sqrt(27)) + sqrt(972) + sqrt(972)*-1*4)**2. 120*sqrt(3) + 10801 Simplify (sqrt(17) + 0 + sqrt(17) + -2 + 3*-3*sqrt(17) + 0)*-6. 12 + 42*sqrt(17) Simplify 6*(-1 + sqrt(300) + 1)**2*-2 + -4. -3604 Simplify (-2*(2 + sqrt(75) + 3 - sqrt(75)))**2 - ((1 + sqrt(75) + 4)**2 + -4). -50*sqrt(3) + 4 Simplify -5 + sqrt(21)/((sqrt(70) - (sqrt(70) + (sqrt(70) + (sqrt(70) + -1*sqrt(70) - sqrt(70)) - sqrt(70))))/sqrt(10))*3 + 0. -5 + 3*sqrt(3) Simplify ((sqrt(325) - sqrt(325)*-2*-6) + sqrt(325)*-2 + 3 + -2*sqrt(325)*-6 + 0)**2. -30*sqrt(13) + 334 Simplify (-4 + 3*(-4 + 1*sqrt(12) + sqrt(12)))**2. -384*sqrt(3) + 688 Simplify (sqrt(160)/(-4*sqrt(4)))/(sqrt(392) + -4*sqrt(392)). sqrt(5)/84 Simplify (1 + (sqrt(72) + 1 + sqrt(2) - (1 + sqrt(50)))**2*-1)*-5*-2. -70 Simplify 6*(((-3*2*sqrt(567) - sqrt(567))*-1)**2 + (sqrt(567) + -2*sqrt(567) + -2)**2*-2). -432*sqrt(7) + 159846 Simplify sqrt(10)/(sqrt(15)/sqrt(3)*-6 + sqrt(5)) - (-5 + (sqrt(50) + -2)**2). -49 + 99*sqrt(2)/5 Simplify (sqrt(231)/(sqrt(33)/sqrt(3)) + sqrt(21) + sqrt(3024)*-1)/(sqrt(252)/sqrt(9)*6). -5*sqrt(3)/6 Simplify ((sqrt(1584) - (-3 + sqrt(1584)*-2)) + -2)**2 - (((sqrt(99) + sqrt(99) + sqrt(99) + 1*sqrt(99) + sqrt(99))/sqrt(9) + -5)**2 + -3). 122*sqrt(11) + 13960 Simplify (-1*sqrt(64)/(sqrt(56)/sqrt(7)))/(-4*(sqrt(4) + sqrt(4) + (sqrt(144)*2 + sqrt(144) - sqrt(144)))). sqrt(2)/56 Simplify (-3 + 3 + 0 + sqrt(475) + 2*(-2 + sqrt(475)) + 5)**2. 30*sqrt(19) + 4276 Simplify 2*((1 + sqrt(1088) + 0)*5 + 2*sqrt(1088)*1*-3)**2. -160*sqrt(17) + 2226 Simplify 2 + (sqrt(63) + -2*sqrt(4032))/((sqrt(252)/sqrt(7))/sqrt(4)). -15*sqrt(7) + 2 Simplify 3*((5*(sqrt(85) + sqrt(85)*-1 + sqrt(85))*3)/(4*(sqrt(20)*1 - sqrt(5))))**2. 11475/16 Simplify (5 + sqrt(1331)*-1)**2 - -2*sqrt(1331)*2. -66*sqrt(11) + 1356 Simplify -3 + (((sqrt(108) + 3)*-5 + -2)*3)**2. 9180*sqrt(3) + 26898 Simplify ((sqrt(60)/sqrt(160)*-6)/(-2*-1*sqrt(2)*-2))**2. 27/64 Simplify 2 + (-2*sqrt(1573) + -2)**2 + 0. 88*sqrt(13) + 6298 Simplify (((sqrt(304)*4 - sqrt(304)) + 1)**2 - (-3*4*sqrt(304))**2)*-4. -96*sqrt(19) + 164156 Simplify 3*-5*(1 + sqrt(272) + sqrt(272) + 1 + sqrt(272) + -3 + (0 + sqrt(272) - sqrt(272)) + -4)**2. -37095 + 1800*sqrt(17) Simplify -6*(sqrt(1176)*-2 + sqrt(24))/((sqrt(84)*3)/sqrt(7)). 26*sqrt(2) Simplify (sqrt(450)*-1)/(sqrt(90)/(sqrt(36)/sqrt(4))) + -5. -3*sqrt(5) - 5 Simplify (((sqrt(252)*-5)/sqrt(12))/(sqrt(300)*-4))**2. 7/64 Simplify 3 + sqrt(27)/sqrt(36) + (sqrt(2940)/sqrt(10))/sqrt(2). 3 + 15*sqrt(3)/2 Simplify -1 + 6*(sqrt(768)*-2*6)**2. 663551 Simplify (3*(sqrt(28) - (sqrt(1792) - -2*sqrt(1792))))/(sqrt(28)/sqrt(175) - sqrt(32)/(sqrt(8)*1)). 345*sqrt(7)/4 Simplify (-6*sqrt(80)*1 + (0 + sqrt(80))*1 - (sqrt(80) - ((sqrt(80) + 1*sqrt(80) + sqrt(80) + sqrt(80) - sqrt(80)) + sqrt(80)))*5*-1)**2. 32000 Simplify ((sqrt(1539) + 3 + -3 + sqrt(57)/sqrt(3) + sqrt(19))*-5 + 3)*-5. -15 + 275*sqrt(19) Simplify 3 + ((-1 + sqrt(475) - sqrt(19) - (sqrt(57)/(sqrt(12)/sqrt(4)) + sqrt(19) - sqrt(19))) + ((1*sqrt(114))/sqrt(2))/sqrt(3))**2. -8*sqrt(19) + 308 Simplify ((1*sqrt(3))**2*1 + (sqrt(3) - sqrt(75))*1)*3 + 1. -12*sqrt(3) + 10 Simplify -1*(-2*sqrt(187)*-2*-6)/(sqrt(99)*1 + (sqrt(88)*1)/sqrt(8)). 6*sqrt(17) Simplify ((sqrt(1960)*4)/(sqrt(245)*-1))**2. 128 Simplify 1 + (1 + sqrt(720) + sqrt(720) + 2)**2 + sqrt(720)*2 + 1 + 1. 168*sqrt(5) + 2892 Simplify -4*(-1*6*sqrt(128)*-2 + -3)**2. -73764 + 2304*sqrt(2) Simplify -3 + (2 + (sqrt(242) + sqrt(242)*-3 + sqrt(242))*-5 + -3)**2 + 4. -110*sqrt(2) + 6052 Simplify 5 + (sqrt(75))**2 + (sqrt(3) + (sqrt(3) + 0)*4 - sqrt(3)) + (sqrt(528) + sqrt(528) + 6*(sqrt(528)*2 + sqrt(528)) + sqrt(528))/sqrt(11). 80 + 88*sqrt(3) Simplify ((0 + -1*sqrt(18))**2 - (-4 + sqrt(8))*-5)*-4. -40*sqrt(2) + 8 Simplify -5*(((sqrt(459) - (sqrt(459) - sqrt(459)*2)) + sqrt(459))/sqrt(9))/sqrt(3) - ((-5 + (sqrt(153)*-2 - sqrt(153)))*-3)**2. -12618 - 825*sqrt(17) Simplify ((sqrt(190) + (sqrt(190) - -2*-2*sqrt(190)))*3)/((sqrt(10) - 1*sqrt(10)*1) + (sqrt(110) + -2*sqrt(110) - sqrt(110))/sqrt(11)). 3*sqrt(19) Simplify (3*(-3*(-5 + 2*sqrt(75)*3) + 4))**2. -30780*sqrt(3) + 221949 Simplify (-2*(sqrt(33)*4 - sqrt(33)) + sqrt(33))/(sqrt(2816)/sqrt(4)). -5*sqrt(3)/8 Simplify ((sqrt(152) - 2*(1*sqrt(152) + sqrt(152) + sqrt(152)))*-2)/(-1*(sqrt(8) + sqrt(512) + sqrt(512) + sqrt(512)*-1 + sqrt(512))). -10*sqrt(19)/17 Simplify -1*sqrt(63)*2 + (sqrt(112) + -2)*-5. -26*sqrt(7) + 10 Simplify ((4 + (sqrt(363) + -2 - sqrt(363)) + 1 + sqrt(363) + 0 + 2*sqrt(363))*-1)**2. 198*sqrt(3) + 3276 Simplify ((3*(sqrt(350) + (sqrt(350)*-2 - sqrt(350)) - sqrt(350)))/sqrt(10))/(sqrt(10)/sqrt(2)*6*4)*3. -9*sqrt(7)/8 Simplify ((2*sqrt(2299) - sqrt(2299)) + 3 + 1*(1 + sqrt(2299)))**2 + 0. 176*sqrt(19) + 9212 Simplify (3*sqrt(1125)*-1 - sqrt(1125))/(sqrt(63)/(-3*(sqrt(14)/sqrt(2) + sqrt(7)))). 120*sqrt(5) Simplify (4*sqrt(105)/sqrt(3)*6)/(sqrt(80) + (sqrt(80) + (sqrt(80) - (2*(sqrt(80) - (sqrt(80)*1 + sqrt(80))) + sqrt(80) - sqrt(80))) - sqrt(80)) - sqrt(80)). 2*sqrt(7) Simplify 2*sqrt(1584)*4 - 4*(-4*sqrt(1584))**2. -101376 + 96*sqrt(11) Simplify (1*sqrt(152)*3)/(-5*sqrt(8)*-3). sqrt(19)/5 Simplify 2*((sqrt(198)/(-2*sqrt(539)))/(sqrt(900)*-1 + sqrt(900) - (sqrt(225) - (sqrt(225)*1 + sqrt(225)))))**2. 1/1225 Simplify -2*3*sqrt(91)/((-2*sqrt(77))/sqrt(11)). 3*sqrt(13) Simplify ((-2*(sqrt(84) + (sqrt(84) - -1*sqrt(84))) + sqrt(84) + (sqrt(84)*-1 + sqrt(84) - sqrt(84))*4)/((-1*sqrt(12)*4 + sqrt(12))*-4))**2. 63/16 Simplify (-5*2*(-2*-2*sqrt(448) + 0 + sqrt(448) + -3))**2. -24000*sqrt(7) + 1120900 Simplify 4 + (-2 + -2 + (1*sqrt(117) + -5 - (sqrt(117)*1 + 5)))**2. 200 Simplify sqrt(5)*3*5 + 3 + (2 + sqrt(45))*-4. -5 + 3*sqrt(5) Simplify 3*(sqrt(275) + -1*sqrt(275)) + (sqrt(275) + (sqrt(275)*2 + sqrt(275))**2)*4 + (sqrt(275) - -1*(sqrt(275) + 2 + sqrt(275)))*-4. -40*sqrt(11) + 9892 Simplify (-2 + 5*(-3 + 0 + sqrt(720))*-4)**2. -27840*sqrt(5) + 291364 Simplify 4*(2*sqrt(363)*-3 + (sqrt(30)*-1)/sqrt(10) + sqrt(3)*2*2). -252*sqrt(3) Simplify (3 + ((sqrt(1573) + 1)*1 - (-1*(sqrt(1573)*3)**2 + sqrt(1573))))*1. 14161 Simplify (5*(sqrt(396) + 1)*3*1 + 4)**2*-6. -536766 - 20520*sqrt(11) Simplify -5 + (((-2*sqrt(6)*-3)/sqrt(3) + -5)*-1)**2*-4. -393 + 240*sqrt(2) Simplify (-4 + sqrt(315)/(-4*sqrt(10)/sqrt(2)) + 3)**2. 3*sqrt(7)/2 + 79/16 Simplify (sqrt(60)/sqrt(2)*2)/sqrt(10) + -5 + -6*sqrt(75) + sqrt(3). -27*sqrt(3) - 5 Simplify ((-3*(1*sqrt(162) + sqrt(2)) + 0)*-3)**2 + -1. 16199 Simplify (sqrt(384)/sqrt(48) - (-2 + sqrt(1568))**2) + 4 + 0. -1568 + 114*sqrt(2) Simplify (5*sqrt(180))/(3*sqrt(9)*1). 10*sqrt(5)/3 Simplify (2*(-2 + (sqrt(1900) - (sqrt(1900)*-2 - sqrt(1900))))*-6)**2 + 3. -23040*sqrt(19) + 4378179 Simplify -1*((-1*sqrt(1377))**2 + -3 - (2*sqrt(1377) - sqrt(1377))*-2)*-3. 54*sqrt(17) + 4122 Simplify ((sqrt(171)*2*5*2)/((sqrt(270)/sqrt(96) + sqrt(45))/sqrt(5)))**2 + 5. 4869 Simplify ((-1*(-2 + sqrt(2)) - (sqrt(2) + -1*sqrt(2))*6)*4 + 5)**2. -104*sqrt(2) + 201 Simplify (((sqrt(77) + (sqrt(77)*5 - sqrt(77)) + sqrt(77) + sqrt(77) + sqrt(77))*4)/(-4*sqrt(77)/sqrt(7)))**2. 448 Simplify (sqrt(5) + (sqrt(5) - (sqrt(5) + (sqrt(180)*-1 - sqrt(180)) - sqrt(5))) - (0 + (sqrt(5) - sqrt(125)))**2) + 4. -76 + 14*sqrt(5) Simplify (1 + (sqrt(684) - (-4 + (-1 + sqrt(684) - sqrt(684)))) + 2*sqrt(684)*-2)**2. -216*sqrt(19) + 6192 Simplify -6*(sqrt(2)*-3 + sqrt(2))**2 - -4*(0 + sqrt(2)) - -5*-6*(sqrt(162) - ((sqrt(162) - (sqrt(162) + -1)) + sqrt(162))**2). 274*sqrt(2) + 4842 Simplify sqrt(931) + -2 + -1*sqrt(1539) + (sqrt(19) - (
{ "pile_set_name": "DM Mathematics" }
d(m(s)). -10*s Let x = -22 - -24. Let g = 37 - 34. Let r(q) = 13*q**x - g*q**2 - 11*q**2. Let v(m) = 12*m. Give r(v(b)). -144*b**2 Let b(f) = f. Let w(i) = -3287*i + 225*i**2 + 1634*i + 1653*i. Calculate w(b(u)). 225*u**2 Let y(q) = 7 - 9 - 80*q + 69*q + 1. Let z(i) = 22*i + 1. Give z(y(c)). -242*c - 21 Suppose 102 = 5*w - 38. Suppose -2*u + w = 24. Let q(d) = -3*d + 194*d**2 - 183*d**u + 3*d. Let n(m) = -2*m**2. Determine n(q(h)). -242*h**4 Let o(u) = -155*u**2 - u + 26. Let l(i) = -13*i. What is o(l(g))? -26195*g**2 + 13*g + 26 Let u(i) = 18*i. Let h(d) = -39*d + 2149. Let c be h(55). Let v(x) be the second derivative of 0*x**2 + 0 - 1/4*x**c + 11*x + 0*x**3. What is v(u(w))? -972*w**2 Let u(s) = -2*s**2 + 4561*s - 1. Let p(w) = -5*w + 647. Calculate p(u(t)). 10*t**2 - 22805*t + 652 Let d(f) = -15*f. Let j(o) = 67*o + 10. Let x(l) = -3010*l - 455. Let k(t) = -273*j(t) - 6*x(t). What is k(d(s))? 3465*s Let n(z) = -z. Let d be (-4)/4 - 41*-2. Suppose 29 = -2*m + d. Let l(b) = -14*b - m*b - 12*b + 72*b. What is n(l(q))? -20*q Let u(m) = m**2. Let a(q) = -78603101*q**2. Determine a(u(t)). -78603101*t**4 Let w(s) = -11*s. Let u(i) = i**3 - 13*i**2 - 48*i + 2. Let h be u(16). Let g(x) = 0*x - 11*x + 20*x - 2 + h. Determine w(g(m)). -99*m Let c(u) = 2*u. Let t(h) = -66787251*h. Determine c(t(n)). -133574502*n Suppose 0 = -2*o + 7*o + 115. Let t = o - -29. Let q(p) = 9*p - 7*p - t*p. Let v(b) = 3*b. Give v(q(u)). -12*u Let v(m) = 2*m. Let a(c) be the second derivative of -c**6/360 + 79*c**4/4 + 10*c - 10. Let i(s) be the third derivative of a(s). Give i(v(k)). -4*k Let s(r) = -r + 142. Let l(k) = -5*k**2 + 2*k - 12. Let a(y) = 2*y**2 - 2*y + 12. Let z(t) = 3*a(t) + 3*l(t). What is s(z(f))? 9*f**2 + 142 Let s(b) = -36142 + 72284 - 36142 - b**2. Let o(m) = 240*m. What is o(s(n))? -240*n**2 Let s(a) = 13*a**2. Let p = 40 + -28. Let h(k) = -27*k + 12. Let n(g) = 2*g - 1. Let z(f) = p*n(f) + h(f). Give z(s(l)). -39*l**2 Let n(g) = 13*g**2 - 1566*g - 25. Let s(p) = -99*p. Give n(s(o)). 127413*o**2 + 155034*o - 25 Let t(s) = -2916*s + 2*s**2 + 2916*s + 1 - 1. Let k(h) = 1437*h - 3. What is k(t(b))? 2874*b**2 - 3 Let f(x) be the first derivative of 6*x**2 - 21. Let t(y) = -y**2 - 13*y + 3. Let b be t(-13). Let r(z) = b*z + 9*z - 10*z. Give r(f(a)). 24*a Let x(h) = -16*h**2. Let t be (-4 - -19)/1 - 4. Let s be -1 + (-2 + 9 - 4). Let o(c) = -26*c**2 + 14*c**2 + t*c**s. Determine x(o(i)). -16*i**4 Let b(r) = r**2. Let d(f) = 104 + 120 - 407 + 98 + 95 + 174*f. What is b(d(s))? 30276*s**2 + 3480*s + 100 Suppose -17*b - 29*b - 2*b = 0. Let p(l) be the first derivative of 0*l - 14 + 19/3*l**3 + b*l**2. Let t(y) = -y**2. Calculate t(p(m)). -361*m**4 Let x(y) = -y**2 + 4*y - 1. Let u(p) = 7*p - 2. Let n(t) = -u(t) + 2*x(t). Let k(q) = 7*q**2. Calculate n(k(b)). -98*b**4 + 7*b**2 Let n(c) = 459*c. Let r(v) = -25*v**2 + 6*v + 6. Let g(q) = -21*q**2 + 5*q + 5. Let y(f) = -6*g(f) + 5*r(f). Give n(y(b)). 459*b**2 Let u(m) = 11*m**2. Let k(g) = g**3 - 5*g**2 - 3*g + 17. Let q = -49 + 54. Let z be k(q). Let a(c) = -23*c**2 + 41*c**2 - 16*c**z. Calculate u(a(n)). 44*n**4 Let g(h) = 138113052*h**2. Let l(q) = -9*q**2. Calculate g(l(y)). 11187157212*y**4 Let n(u) be the second derivative of u**3/3 - 524*u. Let c be 12/2*(-13)/(-2). Let r(i) = 0 + c*i + 0 - 4*i. Calculate n(r(f)). 70*f Let v(x) be the first derivative of 7*x**2 - 6316. Let i(p) = 14*p. Give i(v(d)). 196*d Let a(q) be the first derivative of -17*q**2/2 - 2*q + 3. Let i(p) = -12*p - 2. Let f(u) = -46*u - 8. Let k(y) = f(y) - 4*i(y). Calculate a(k(s)). -34*s - 2 Let w(s) be the second derivative of s**3/3 + 755*s + 1. Let h(d) = -7492*d**2. What is w(h(r))? -14984*r**2 Let u(o) be the third derivative of 4*o**5 - 371*o**2. Let c(s) = 7*s. Determine u(c(r)). 11760*r**2 Let b(y) = 146092872*y. Let z(o) = -o. Calculate b(z(a)). -146092872*a Let j(h) = -36*h**2. Suppose -r - 54045 - 87656 = -4*s, 4*s - 3*r = 141703. Let i(l) = s + 8*l - 35425. Give i(j(q)). -288*q**2 Let a(q) be the second derivative of q**4/12 - 28*q**3/3 + q. Let v(y) be the third derivative of -y**5/30 + 121064*y**2. Determine a(v(b)). 4*b**4 + 112*b**2 Let l(w) = -3*w**2 - 13395 + 6*w**2 + 13191. Let f(u) = 2*u. Calculate f(l(a)). 6*a**2 - 408 Let w(u) = 2*u**2. Suppose -s = -3*o + 300, -2*s = 4*o + 175 - 565. Let y(r) = o*r**2 - 1 + 97*r**2 - 182*r**2. Give w(y(j)). 392*j**4 - 56*j**2 + 2 Let r(j) = 29*j. Let u(b) = 51679539*b**2. Give u(r(d)). 43462492299*d**2 Let z(h) = 15*h. Let p(t) = t**2 + 3327. Let r be p(0). Suppose -2*m + 23 = -3*v, 0*m + 5 = 5*m + 3*v. Let b(w) = -r*w + 3327*w - m*w**2. Calculate b(z(c)). -900*c**2 Let i(l) = l. Let b(p) = -2*p. Let a(d) = 3*b(d) + 3*i(d). Suppose -9*n = -16*n + 77. Let z(c) = -6*c + n*c - 3*c - 5*c. What is a(z(t))? 9*t Let b(m) = -30*m**2. Let k(s) be the second derivative of -s**4/12 - 21*s**2 - 34*s + 5. Determine k(b(p)). -900*p**4 - 42 Let u(d) = 7765*d**2 - 15695*d**2 + 7766*d**2. Let n(m) = -11*m**2. Give u(n(p)). -19844*p**4 Let p(o) = 3950*o - 2. Let c(x) = -6*x + 198. What is p(c(f))? -23700*f + 782098 Let z(x) be the third derivative of 0*x**3 + 0*x + 20*x**2 + 1/30*x**5 + 0*x**4 + 0. Let s(r) = -2*r - 5. Determine z(s(b)). 8*b**2 + 40*b + 50 Let b(r) = 2477*r - 4954*r + 2481*r. Let j(w) = w - 3. What is b(j(a))? 4*a - 12 Let z(l) be the third derivative of 0*l + 1/60*l**5 - 24*l**2 + 0*l**3 + 0 + 0*l**4. Let r(a) = -8*a + 17*a - 12*a. Calculate r(z(d)). -3*d**2 Let o(j) = -215*j. Let q(l) = 2*l**2 + 3*l + 330. Let n(u) = -u**2 - 2*u - 220. Let s(f) = -6*n(f) - 4*q(f). What is s(o(p))? -92450*p**2 Let l(c) be the third derivative of 0*c**3 - 1/20*c**5 + 0*c**4 + 43*c**2 + 0*c + 0. Let u(t) = 8*t. Determine u(l(g)). -24*g**2 Let n(k) = 3*k**2 - 9*k - 15. Let w be n(5). Let f(v) = -5066 - 8*v**2 - w*v**2 + 5066. Let o(c) = -2*c. Calculate f(o(r)). -92*r**2 Let r(f) be the second derivative of f**7/1260 - 11*f**4/6 - 9*f + 1. Let b(w) be the third derivative of r(w). Let s(x) = -91*x**2 + x. What is b(s(p))? 16562*p**4 - 364*p**3 + 2*p**2 Let j(v) = -2*v**2. Let o = -4676 + 4678. Let i(a) be the first derivative of 0*a**o + 2/3*a**3 + 2 + 0*a. Give i(j(y)). 8*y**4 Let z(a) = -113*a - 44. Let x(b) = -62*b - 24. Let m(t) = -11*x(t) + 6*z(t). Let y(h) = 70*h**2 - 1. Determine m(y(w)). 280*w**2 - 4 Let q(o) = -o**2 - 16*o**2 + 14*o**2 - 6 + 1. Let y(n) = 382*n**2 - 773*n**2 + 389*n**2. Determine q(y(u)). -12*u**4 - 5 Let q(u) = 10*u**2. Let x(b) = 696515*b**2 + 4*b - 3. What is x(q(w))? 69651500*w**4 + 40*w**2 - 3 Let h(n) be the third derivative of 0*n + 0*n**4 + 0*n**3 - 1/15*n**5 - 2 + 4*n**2. Let q(l) = -7*l. What is h(q(t))? -196*t**2 Let c(o) = -2*o. Let l(h) be the second derivative of 95*h**4/12 + 122*h**2 - h + 45. Let t(v) be the first derivative of l(v). Calculate t(c(a)). -380*a Let r(q) = -q**2. Let h(j) = -23901751*j. Calculate r(h(k)). -571293700866001*k**2 Let d(u) be the second derivative of -6*u**3 - 2*u**2 + 346*u + 1. Let n(a) = a**2. Calculate n(d(j)). 1296*j**2 + 288*j + 16 Let w(s) = -s - 187. Let k(z) = -82*z - 1. Let q(d) = 728*d + 9. Let r(h) = -36*k(h) - 4*q(h). Calculate r(w(a)). -40*a - 7480 Let o(m) = 9*m. Let k(d) = -23080*d**2 + d - 19. Determine o(k(p)). -207720*p**2 + 9*p - 171 Let b(m) = -57*m. Let r(f) = -f**3 + 6*f**2 + 3*f - 12. Let x be r(6). Let s(n) = n + 15. Let c(u) = -u - 18. Let g(w) = x*s(w) + 5*c(w). Give b(g(p)). -57*p Let z(j) = 4 - 14*j - 4 + 10*j. Let a(r) be the first derivative of -r**3/6 - 37*r - 33. Let g(n) be the first derivative of a(n). Give g(z(k)). 4*k Let h(t) = -23*t + 6. Let d(r) = 20*r**2 + 3*r. Determine d(h(w)). 10580*w**2 - 5589*w + 738 Let s(c) be the first derivative of c**3/3 - 2*c**2 - 392*c - 817. Let l(z) = 2*z. Give s(l(g)). 4*g**2 - 8*g - 392 Let r(k) = -6 + 184*k + 55*k**2 - 64*k - 62*k - 64*k. Let p(v) = -166*v**2 + 17*v + 17. Let w(m) = -6*p(m) - 17*r(m). Let b(q) = -2*q**2. Calculate w(b(d)). 244*d**4 Let a(v) = 2*v. Suppose 9*j - 18*j = -1287. Let u(b) = 287*b**2 - 102*b**2 - j*b**2. Calculate u(a(w)). 168*w**2 Let p(b) be the second derivative of -b**5/120 - b**3/3 - 17*b**2/2 - 155*b. Let s(i) be the second derivative of p(i). Let k(o) = 2*o + 2. What is s(k(x))? -2*x - 2 Let g(c) = 22*c. Let h(l) be the third
{ "pile_set_name": "DM Mathematics" }
331 prime? False Is 375461 a composite number? True Is 28019 prime? True Is 443 a composite number? False Is 121269 a composite number? True Is 4385 composite? True Is 1641457 a prime number? True Is 4427 a composite number? True Is 57487 a composite number? False Is 50749 composite? True Is 289097 composite? True Is 3642673 a prime number? True Is 2743 a prime number? False Is 5772527 a prime number? True Is 3719 composite? False Is 18839 a prime number? True Is 22543 a composite number? False Is 9311 a prime number? True Is 49771 prime? False Is 133465 prime? False Is 13863 a prime number? False Is 18947 a prime number? True Is 813149 a prime number? False Is 14163 composite? True Is 49111 composite? True Is 23531 prime? True Is 39503 prime? True Is 529411 a composite number? False Is 27239 a composite number? False Is 46381 composite? False Is 8461 a composite number? False Is 922451 prime? True Is 395491 a composite number? False Is 3433 prime? True Is 16183 a prime number? 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True Is 974707 a composite number? False Is 649 a composite number? True Is 94571 a composite number? True Is 6389 a composite number? False Is 9673 composite? True Is 19693 prime? False Is 12007 a prime number? True Is 20563 a composite number? False Is 3967 composite? False Is 1502 a composite number? True Is 189683 composite? True Is 36523 composite? False Is 13567 a prime number? True Is 89753 a composite number? False Is 12601 a prime number? True Is 10213 prime? False Is 121807 composite? True Is 1938553 a composite number? False Is 763183 a prime number? True Is 74123 composite? True Is 54371 a composite number? False Is 22433 a composite number? False Is 124427 a composite number? False Is 8654 a composite number? True Is 31553 composite? True Is 1361677 prime? True Is 41105 a composite number? True Is 1829873 prime? True Is 119649 prime? False Is 8039 composite? False Is 3089 composite? False Is 4139 a composite number? False Is 51938 a prime number? False Is 97993 a prime number? False Is 138019 composite? True Is 7583 a prime number? True Is 317567 a composite number? True Is 64837 a composite number? True Is 92749 a composite number? True Is 62549 a prime number? True Is 865279 a composite number? True Is 721307 a prime number? True Is 10517
{ "pile_set_name": "DM Mathematics" }
What is the hundreds digit of 36729? 7 What is the tens digit of 1503? 0 What is the tens digit of 1142? 4 What is the units digit of 851? 1 What is the tens digit of 937? 3 What is the hundreds digit of 2003? 0 What is the hundreds digit of 795? 7 What is the hundreds digit of 678? 6 What is the ten thousands digit of 10415? 1 What is the tens digit of 287? 8 What is the tens digit of 7955? 5 What is the hundreds digit of 7125? 1 What is the ten thousands digit of 100530? 0 What is the units digit of 28? 8 What is the tens digit of 1343? 4 What is the units digit of 11371? 1 What is the units digit of 314? 4 What is the hundreds digit of 24317? 3 What is the units digit of 940? 0 What is the hundreds digit of 1298? 2 What is the hundreds digit of 193? 1 What is the thousands digit of 29563? 9 What is the tens digit of 3227? 2 What is the tens digit of 2828? 2 What is the thousands digit of 5633? 5 What is the hundreds digit of 138? 1 What is the ten thousands digit of 13726? 1 What is the units digit of 11547? 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1 What is the tens digit of 230? 3 What is the thousands digit of 56382? 6 What is the hundreds digit of 2520? 5 What is the units digit of 30051? 1 What is the units digit of 8670? 0 What is the units digit of 7958? 8 What is the tens digit of 7529? 2 What is the hundreds digit of 49861? 8 What is the tens digit of 49560? 6 What is the hundreds digit of 41035? 0 What is the hundreds digit of 25947? 9 What is the units digit of 581? 1 What is the hundreds digit of 1493? 4 What is the tens digit of 197? 9 What is the hundreds digit of 12531? 5 What is the tens digit of 244? 4 What is the tens digit of 2440? 4 What is the tens digit of 31005? 0 What is the units digit of 332? 2 What is the tens digit of 2182? 8 What is the hundreds digit of 1394? 3 What is the tens digit of 3458? 5 What is the hundreds digit of 66698? 6 What is the thousands digit of 1409? 1 What is the thousands digit of 2400? 2 What is the units digit of 6100? 0 What is the tens digit of 2624? 2 What is the tens digit of 6952? 5 What is the tens digit of 15509? 0 What is the thousands digit of 1807? 1 What is the hundreds digit of 55062? 0 What is the units digit of 30? 0 What is the tens digit of 23147? 4 What is the tens digit of 329? 2 What is the units digit of 478? 8 What is the ten thousands digit of 16505? 1 What is the ten thousands digit of 13295? 1 What is the ten thousands digit of 79926? 7 What is the thousands digit of 24598? 4 What is the tens digit of 881? 8 What is the hundreds digit of 940? 9 What is the hundreds digit of 10132? 1 What is the hundreds digit of 810? 8 What is the thousands digit of 39409? 9 What is the tens digit of 12961? 6 What is the hundreds digit of 205? 2 What is the tens digit of 1134? 3 What is the hundreds digit of 3071? 0 What is the units digit of 22? 2 What is the units digit of 1515? 5 What is the units digit of 7464? 4 What is the hundreds digit of 35963? 9 What is the units digit of 234? 4 What is the hundreds digit of 9424? 4 What is the tens digit of 1280? 8 What is the hundreds digit of 36789? 7 What is the units digit of 158723? 3 What is the hundreds digit of 1518? 5 What is the hundreds digit of 7158? 1 What is the hundreds digit of 350? 3 What is the units digit of 9179? 9 What is the units digit of 15922? 2 What is the units digit of 9219? 9 What is the hundreds digit of 3924? 9 What is the hundred thousands digit of 102599? 1 What is the hundreds digit of 9931? 9 What is the hundreds digit of 1365? 3 What is the tens digit of 134? 3 What is the tens digit of 1918? 1 What is the tens digit of 10394? 9 What is the hundreds digit of 232? 2 What is the tens digit of 1589? 8 What is the ten thousands digit of 40553? 4 What is the tens digit of 74029? 2 What is the thousands digit of 18497? 8 What is the units digit of 6498? 8 What is the hundreds digit of 122469? 4 What is the tens digit of 49661? 6 What is the units digit of 16867? 7 What is the thousands digit of 54159? 4 What is the tens digit of 2619? 1 What is the units digit of 63891? 1 What is the units digit of 919? 9 What is the tens digit of 6214? 1 What is the tens digit of 1705? 0 What is the tens digit of 76983? 8 What is the units digit of 1403? 3 What is the tens digit of 80? 8 What is the thousands digit of 5777? 5 What is the units digit of 1084? 4 What is the hundreds digit of 113048? 0 What is the hundreds digit of 3127? 1 What is the units digit of 3168? 8 What is the tens digit of 391? 9 What is the hundreds digit of 908? 9 What is the units digit of 3321? 1 What is the units digit of 9401? 1 What is the units digit of 8349? 9 What is the hundreds digit of 3227? 2 What is the hundreds digit of 995? 9 What is the ten thousands digit of 74899? 7 What is the hundreds digit of 1074? 0 What is the hundreds digit of 1051? 0 What is the thousands digit of 20276? 0 What is the thousands digit of 4737? 4 What is the units digit of 25267? 7 What is the units digit of 3874? 4 What is the units digit of 2165? 5 What is the hundreds digit of 1182? 1 What is the thousands digit of 112761? 2 What is the tens digit of 17902? 0 What is the units digit of 20502? 2 What is the tens digit of 107970? 7 What is the hundreds digit of 2400? 4 What is the units digit of 762? 2 What is the tens digit of 1436? 3 What is the tens digit of 25596? 9 What is the tens digit of 2457? 5 What is the thousands digit of 5495? 5 What is the hundreds digit of 1392? 3 What is the hundreds digit of 1534? 5 What is the units digit of 38? 8 What is the thousands digit of 1183? 1 What is the hundreds digit of 11408? 4 What is the tens digit of 9584? 8 What is the ten thousands digit of 39536? 3 What is the tens digit of 34285? 8 What is the units digit of 5? 5 What is the units digit of 79935? 5 What is the ten thousands digit of 16517? 1 What is the hundreds digit of 185? 1 What is the hundreds digit of 1169? 1 What is the units digit of 3359? 9 What is the hundreds digit of 245? 2 What is the tens digit of 5253? 5 What is the units digit of 27071? 1 What is the tens digit of 215? 1 What is the tens digit of 1491? 9 What is the thousands digit of 7224? 7 What is the thousands digit of 1324
{ "pile_set_name": "DM Mathematics" }
-1.1796 = 21? False Which is bigger: -2/5271 or 542? 542 Which is smaller: -12.9 or -2673? -2673 Do -2171955/2 and -1085977 have the same value? False Which is greater: -15443 or -15444? -15443 Is -1508436 less than -1508435? True Is 733/110 at most 8? True Which is greater: 1430 or 1019? 1430 Which is greater: 0 or -2/6756527? 0 Which is bigger: -1983/4 or -496? -1983/4 Is -0.9 greater than or equal to -19577? True Is 1719665 < 1719668? True Which is smaller: 48768 or 48772? 48768 Are 338804 and 338809 unequal? True Is -3 less than -653/159? False Which is bigger: 3117 or 2897? 3117 Which is greater: 10485 or 10549? 10549 Which is smaller: 168 or 122? 122 Is 2/17 > 200666? False Which is smaller: -3.92 or 2/9? -3.92 Are 76 and 1002 unequal? True Are 633/1154 and 2 equal? False Which is greater: -7536 or -22604/3? -22604/3 Do -2/77175 and -2/65 have the same value? False Which is smaller: -8034523 or -8034522? -8034523 Is -414 equal to -52? False Is 9595 != -8? True Are -24677 and -24641 nonequal? True Which is bigger: 4288 or 3910? 4288 Is -171305 less than -0.1? True Which is smaller: 408 or 74060/181? 408 Is -136 != -37? True Is 37804 > -4? True Which is smaller: 39975 or 39977? 39975 Which is bigger: -7/19847 or -1? -7/19847 Are 0.125 and 322/3 non-equal? True Which is bigger: -54390 or -54454? -54390 Is 54823 != 54825? True Which is bigger: 481/5541 or 1? 1 Which is bigger: -9811 or -9843? -9811 Which is smaller: 1353/3133 or 0? 0 Is 53 less than or equal to 55642? True Which is bigger: -4 or -32392? -4 Are -1576 and -382 non-equal? True Is 24860 equal to 24865? False Is -57/26 greater than or equal to -3? True Is 514935 > 514936? False Which is greater: 29 or -0.27118? 29 Which is greater: -211463/22 or -9612? -211463/22 Which is smaller: 78996 or 78998? 78996 Which is bigger: -8134 or -8131? -8131 Which is greater: -1.3 or -2534? -1.3 Which is smaller: -30.8 or 13/372? -30.8 Which is smaller: -2564712 or -2564710? -2564712 Which is smaller: 75283 or 75316? 75283 Is 55/247 < 1? True Which is greater: 861 or 859? 861 Is -1 bigger than 16/49993? False Is 56692 not equal to 56693? True Which is smaller: 5244/85 or 0? 0 Does 23236 = 1? False Which is smaller: 2/221 or 913? 2/221 Is 102 > -106? True Which is smaller: -1 or 142/6841? -1 Which is bigger: 13642 or 13627? 13642 Which is smaller: -8090/29 or 56? -8090/29 Is -962 less than -903? True Which is greater: 375 or 322? 375 Is -701319 not equal to -701319? False Is 324592 greater than 324591? True Is 39972 <= 39972? True Which is greater: 376 or 2635/7? 2635/7 Is 242/1245 at most as big as 0? False Which is smaller: 334 or -2119? -2119 Which is smaller: 93 or 13815/148? 93 Which is bigger: 1 or -2/2468273? 1 Which is bigger: 0 or -38/17911? 0 Which is greater: 2/3 or -134138? 2/3 Which is greater: -260197 or -2/3? -2/3 Is 783 less than -439? False Which is smaller: -3/20 or -2397? -2397 Which is greater: -0.93924 or -0.2? -0.2 Is 0.2 bigger than 0.065792? True Is -4152 at least as big as -4161? True Which is bigger: -24184/3 or -8061? -8061 Is -28 at most as big as 3316? True Which is smaller: 7257/2192 or 2? 2 Which is greater: -8529 or -160? -160 Which is greater: 1005 or 1012? 1012 Is 58140 smaller than 58137? False Is -2/1448815 smaller than 1? True Which is smaller: 0.0262 or 6.838? 0.0262 Which is greater: 1635 or 11448/7? 11448/7 Is 7/33302 > 0? True Is 4727 at most -1/165? False Which is smaller: -14535 or 2? -14535 Which is greater: 10878 or -7? 10878 Do 4 and -36/101 have the same value? False Which is smaller: -23573 or -141431/6? -23573 Are 18591 and 18496 unequal? True Is 6501 not equal to 6847? True Which is bigger: -355 or 1012? 1012 Which is greater: -4/70931 or 0? 0 Which is smaller: 181/185 or 1? 181/185 Is 1 at most 6/471211? False Is 8/13 smaller than -4438/11? False Does -8/31001 = 0? False Is 207/2575 < 0? False Do -10 and -63088 have the same value? False Which is smaller: -873355 or 4/7? -873355 Which is smaller: 1832 or 1824? 1824 Is -14 at least as big as 24567? False Is 2/5 at least as big as -3/132583? True Is -8/521 less than 0? True Does -4785 = -4909? False Is -28275 at least -28275? True Do -1 and 8/1245 have the same value? False Which is smaller: 0.7 or 0.0833? 0.0833 Are -5568 and -5449 equal? False Which is bigger: -1 or 39/28486? 39/28486 Which is bigger: -1248497 or -1248498? -1248497 Which is greater: 1 or 53/2445? 1 Which is bigger: 0 or -1/17161? 0 Is -380/7 greater than -25? False Is -46741 at least -46742? True Is 1 <= -1533427? False Is 0 equal to 4/386549? False Which is smaller: 758 or 1174? 758 Which is smaller: -765 or -493? -765 Is -5356 smaller than -194? True Is -32600 greater than -32596? False Is -363 at most as big as -3280/9? False Which is greater: -17.93 or 0.2? 0.2 Which is greater: 11642 or 2? 11642 Which is smaller: -33/5614 or -1? -1 Is -2121637 greater than -2121636? False Which is greater: 61379 or 429652/7? 61379 Which is greater: -1581 or 1? 1 Is 18/13 smaller than 1.97? True Which is smaller: 2475 or 86668/35? 2475 Which is smaller: -47/67 or -1? -1 Is -253050/13 smaller than -3/5? True Is 10653 less than 10734? True Which is smaller: 1198 or -3/317? -3/317 Is -2/11 less than 67731? True Is -16176/115 at least -141? True Which is bigger: -16/112101 or -1? -16/112101 Which is bigger: -4591 or -27539/6? -27539/6 Is -619/1052 bigger than -1? True Is 15.75 at least as big as -0.087? True Is 325/306 less than 1? False Is 2/317781 at least 0? True Which is smaller: -4/35 or -97? -97 Which is bigger: 0.1 or -48/9685? 0.1 Is -747598/7 less than or equal to -106800? False Is 10/949927 >= 0? True Which is smaller: -177827 or -177826? -177827 Is -1 > 18/93961? False Is 0 at most as big as 69/68140? True Is -58899 >= -58899? True Is 2455 less than or equal to 25? False Which is smaller: -791 or -773? -791 Is 1/43316 greater than 1? False Which is smaller: 1 or -1/11237? -1/11237 Is -1531097 greater than -1531098? True Which is smaller: 14.06 or -77? -77 Which is bigger: 47277 or 47295? 47295 Which is smaller: 3194 or 3186? 3186 Which is smaller: -133718 or 2/3? -133718 Which is greater: 139832 or 139830? 139832 Is -115309 at most as big as -115306? True Is 41/543 greater than 1? False Do 248503 and 1242512/5 have the same value? False Which is smaller: -2/29 or -2523/4? -2523/4 Which is smaller: -791151 or -791149? -791151 Which is bigger: 78486/29 or 2706? 78486/29 Which is smaller: 239868 or 239867? 239867 Which is smaller: 2/32929 or 1? 2/32929 Is -5871/100 equal to -59? False Which is bigger: -25784 or -25788? -25784 Which is smaller: 64461 or 386759/6? 386759/6 Is 16.4588 at most as big as -1/2? False Is 1869 >= -30? True Which is smaller: 110957 or 110956? 110956 Which is bigger: -1 or 188/96351? 188/96351 Do -62 and 156.96 have the same value? False Is -410 bigger than 0.35? False Do 800032 and -2 have different values? True Which is bigger: 371619 or 371618? 371619 Which is smaller: 130802 or 130803? 130802 Which is greater: 2 or 11468? 11468 Which is bigger: -39/33008 or 0.1? 0.1 Which is bigger: 91103 or 91080? 91103 Is -1366837 at least as big as -2? False Is 2/7 at most 62514? True Which is smaller: 2/62401 or 0? 0 Is 3665 >= 3659? True Which is greater: 1619805 or 1619804? 1619805 Is 3/6002 greater than 0.02? False Which is greater: -5750/303 or -19? -5750/303 Which is smaller: 412 or 258? 258 Which is greater: 21/10457 or 0? 21/10457 Is -908318 <= -908319? False Is 27583 at least 27586? False Which is smaller: -180 or -0.045? -180 Which is smaller: 58 or -4672/9? -4672/9 Which is greater: 8841 or 8857? 8857 Which is greater: 2475164 or 2/7? 2475164 Which is bigger: 397 or 426? 426 Which is smaller: 18 or 2798/161? 2798/161 Which is smaller: 12023 or 12025? 12023 Which is bigger: -6762/5261 or 0? 0 Which is smaller: -1298/323 or 0.2? -1298/323 Is 41 at least -321? True Which is smaller: -4824 or -0.2? -4824 Is 1377/29 at least 47? True Is 0 less than 944/2865? True Are 236 and 906 non-equal? True Which is bigger: -773829 or -773830? -773829 Which is smaller: 11767 or 11766? 11766 Which is greater: -29 or -9? -9 Which is smaller: 41 or 382? 41 Is -118 != -2/61? True Is 53636 at most 53636? True Is -1955662 at least as
{ "pile_set_name": "DM Mathematics" }
divisor of 24321 and 66. 33 Calculate the greatest common factor of 208 and 9256. 104 What is the highest common divisor of 168 and 3129? 21 What is the greatest common factor of 1012 and 44550? 22 What is the greatest common divisor of 2097 and 114869? 233 What is the highest common divisor of 1367083 and 13131? 1459 Calculate the highest common divisor of 16 and 62896. 16 Calculate the greatest common divisor of 4664 and 56. 8 What is the greatest common divisor of 4 and 11? 1 What is the greatest common factor of 497508 and 396? 132 Calculate the highest common divisor of 1616 and 78578. 202 What is the highest common divisor of 77558 and 7163? 247 What is the highest common factor of 1520 and 13490? 190 Calculate the greatest common divisor of 24 and 15000. 24 Calculate the highest common factor of 28350 and 147525. 525 Calculate the greatest common divisor of 15375 and 10500. 375 What is the highest common factor of 24905 and 90? 5 What is the highest common divisor of 281974 and 140? 14 Calculate the highest common divisor of 11902 and 220. 22 What is the highest common divisor of 38664 and 264? 24 Calculate the highest common factor of 446335 and 255. 85 Calculate the greatest common factor of 1668 and 40188. 12 What is the greatest common factor of 431565 and 5? 5 Calculate the highest common divisor of 105 and 4109. 7 Calculate the highest common factor of 976 and 1342. 122 Calculate the greatest common factor of 43209 and 18. 9 Calculate the highest common factor of 1315 and 12361. 263 What is the greatest common factor of 270 and 3798? 18 Calculate the greatest common divisor of 703340 and 605. 55 What is the greatest common divisor of 648 and 1230336? 216 Calculate the greatest common factor of 224778 and 6. 6 Calculate the greatest common factor of 8310 and 82546. 554 What is the highest common divisor of 3246663 and 3318? 1659 What is the highest common factor of 39646 and 344? 86 Calculate the highest common factor of 6647612 and 68. 68 What is the greatest common factor of 1248 and 59124? 156 What is the highest common divisor of 64 and 181948? 4 Calculate the greatest common factor of 108944 and 352. 176 What is the greatest common divisor of 5 and 17755? 5 Calculate the highest common divisor of 1641 and 1684213. 547 What is the greatest common factor of 1748 and 276? 92 What is the greatest common factor of 90720 and 3696? 336 What is the greatest common divisor of 32 and 541696? 32 Calculate the greatest common divisor of 483 and 62031. 69 Calculate the highest common divisor of 22665 and 120. 15 What is the highest common divisor of 265 and 19451? 53 What is the greatest common divisor of 138 and 162? 6 What is the greatest common factor of 47 and 1135943? 47 What is the highest common factor of 2793 and 755874? 147 Calculate the greatest common divisor of 103443 and 36163. 841 What is the greatest common factor of 112 and 184702? 14 Calculate the highest common factor of 2445027 and 426. 213 Calculate the greatest common factor of 574 and 82. 82 What is the highest common factor of 1452 and 1188? 132 Calculate the greatest common divisor of 2535 and 5205. 15 What is the highest common divisor of 370 and 11248? 74 What is the greatest common factor of 456131 and 507? 169 Calculate the highest common divisor of 1449 and 374969. 161 Calculate the highest common factor of 260 and 23023. 13 What is the greatest common divisor of 459 and 6777? 27 What is the greatest common divisor of 2756 and 11554? 106 Calculate the greatest common divisor of 125 and 1465775. 25 Calculate the greatest common divisor of 570576 and 144. 48 Calculate the highest common divisor of 11472 and 5988. 12 Calculate the greatest common factor of 498 and 513438. 498 What is the highest common factor of 68 and 2524? 4 Calculate the highest common divisor of 93288 and 3864. 552 Calculate the greatest common divisor of 464 and 166373. 29 Calculate the greatest common factor of 3974500 and 1500. 500 Calculate the highest common factor of 4800 and 1504. 32 What is the highest common factor of 9939118 and 238? 238 What is the highest common divisor of 301 and 23779? 301 What is the greatest common divisor of 172007 and 57? 19 What is the greatest common divisor of 27 and 75177? 9 Calculate the greatest common divisor of 3605 and 69937. 721 Calculate the greatest common divisor of 42 and 460957. 7 What is the highest common factor of 52296 and 48? 24 Calculate the greatest common factor of 7138 and 774. 86 What is the highest common factor of 5516 and 196? 28 Calculate the greatest common factor of 151 and 191619. 151 Calculate the greatest common factor of 107523 and 117. 117 What is the greatest common factor of 84 and 2102373? 21 What is the highest common factor of 441099 and 2448? 153 What is the highest common divisor of 32245 and 605? 5 What is the highest common factor of 144 and 15156? 36 Calculate the greatest common factor of 1008 and 26586. 126 Calculate the greatest common factor of 3009 and 3237. 3 What is the highest common divisor of 63792 and 40? 8 What is the greatest common divisor of 142 and 4597534? 142 Calculate the greatest common factor of 20608 and 12288. 128 What is the greatest common divisor of 66444 and 2548? 196 What is the greatest common divisor of 629 and 406963? 629 What is the greatest common divisor of 417032 and 462? 154 What is the highest common divisor of 3 and 89742? 3 Calculate the highest common factor of 6520 and 48085. 815 Calculate the highest common divisor of 7070 and 255934. 1414 What is the greatest common factor of 737 and 754688? 737 Calculate the greatest common factor of 3542 and 7889. 161 Calculate the highest common factor of 255 and 238605. 15 Calculate the highest common factor of 7 and 15463. 7 What is the greatest common divisor of 426274 and 524? 262 Calculate the highest common factor of 199 and 241586. 199 Calculate the highest common divisor of 964 and 54. 2 Calculate the highest common factor of 84049 and 7. 7 What is the greatest common divisor of 64 and 89168? 16 What is the greatest common factor of 152 and 296628? 76 What is the greatest common divisor of 589893 and 703? 19 What is the highest common divisor of 657644 and 26? 26 What is the greatest common divisor of 1260252 and 42? 42 Calculate the greatest common divisor of 12 and 1030962. 6 What is the greatest common factor of 13500 and 6375? 375 What is the highest common divisor of 275 and 23050? 25 Calculate the highest common factor of 147 and 630336. 147 Calculate the greatest common divisor of 158670 and 342. 18 What is the highest common factor of 12 and 82372? 4 Calculate the highest common factor of 6594 and 126. 42 Calculate the greatest common divisor of 3020605 and 245. 245 What is the greatest common factor of 201 and 109612? 67 Calculate the highest common factor of 46615 and 5. 5 What is the highest common factor of 71720 and 37816? 1304 Calculate the greatest common divisor of 2356 and 30876. 124 Calculate the highest common divisor of 360 and 8676. 36 What is the highest common divisor of 139850 and 625? 25 Calculate the highest common factor of 32660 and 1136. 284 Calculate the greatest common divisor of 57880 and 640. 40 What is the highest common divisor of 4190 and 2230? 10 What is the highest common divisor of 6612 and 211356? 228 Calculate the greatest common divisor of 1373 and 159268. 1373 Calculate the highest common divisor of 270 and 6015. 15 What is the highest common divisor of 3840 and 190? 10 What is the highest common divisor of 2355 and 1095? 15 What is the greatest common factor of 25992 and 72? 72 What is the highest common factor of 1377744 and 192? 48 Calculate the greatest common divisor of 1764 and 46060. 196 What is the greatest common divisor of 138 and 118? 2 Calculate the highest common factor of 37830 and 1014. 78 Calculate the greatest common factor of 62 and 60295. 31 Calculate the greatest common factor of 36937 and 43. 43 What is the highest common divisor of 147 and 120? 3 What is the greatest common factor of 646 and 290776? 38 What is the greatest common divisor of 576 and 29888? 64 What is the greatest common divisor of 66022 and 22? 22 What is the greatest common divisor of 6258 an
{ "pile_set_name": "DM Mathematics" }
acement from sbygb. 1/60 Calculate prob of sequence cnc when three letters picked without replacement from nnncnncc. 5/56 Four letters picked without replacement from {n: 6, o: 5, l: 1, t: 1, w: 2, j: 1}. Give prob of sequence oojw. 1/1092 Calculate prob of sequence rttk when four letters picked without replacement from {p: 1, s: 3, a: 4, k: 2, r: 2, t: 3}. 1/1365 Four letters picked without replacement from {r: 13, y: 5}. What is prob of sequence rrrr? 143/612 Two letters picked without replacement from blplblaxxaaa. Give prob of sequence la. 1/11 What is prob of sequence mhxz when four letters picked without replacement from hhhxxmhnxzhnxm? 5/3003 Two letters picked without replacement from {p: 1, i: 3, g: 2, b: 6}. Give prob of sequence bi. 3/22 What is prob of sequence ezt when three letters picked without replacement from {z: 1, b: 1, n: 1, t: 1, e: 1}? 1/60 Two letters picked without replacement from {w: 1, g: 3, t: 9, n: 1}. Give prob of sequence gw. 3/182 What is prob of sequence aakq when four letters picked without replacement from aaqqqakqkaaq? 5/297 Two letters picked without replacement from swwssbzssbzz. Give prob of sequence ww. 1/66 Two letters picked without replacement from zhcrhzzzcccirziihzr. Give prob of sequence ri. 1/38 Two letters picked without replacement from ccccqcq. Give prob of sequence cq. 5/21 What is prob of sequence ri when two letters picked without replacement from {r: 3, j: 3, c: 13, i: 1}? 3/380 Three letters picked without replacement from dwdwdwwdddww. Give prob of sequence www. 1/11 Four letters picked without replacement from {x: 2, z: 1, v: 2, w: 1, h: 2}. Give prob of sequence hhvw. 1/420 Two letters picked without replacement from zdnappr. What is prob of sequence pa? 1/21 What is prob of sequence ind when three letters picked without replacement from {w: 1, i: 1, d: 1, u: 2, n: 1, r: 1}? 1/210 Calculate prob of sequence xjc when three letters picked without replacement from {j: 9, c: 1, x: 3, p: 5}. 3/544 Two letters picked without replacement from geefd. What is prob of sequence fg? 1/20 What is prob of sequence yyi when three letters picked without replacement from yyyyyyyyyyyyi? 1/13 Four letters picked without replacement from {k: 2, e: 4, j: 7, q: 1, p: 4}. What is prob of sequence jqje? 7/3060 Three letters picked without replacement from {y: 5, r: 1, s: 1, h: 4}. Give prob of sequence hyr. 2/99 Three letters picked without replacement from {w: 1, s: 1, a: 1, x: 6}. What is prob of sequence xwa? 1/84 Two letters picked without replacement from vhhxxvxxvvvvhhhvh. Give prob of sequence xh. 3/34 Two letters picked without replacement from {l: 2, w: 1, v: 4, b: 3, t: 2, i: 2}. What is prob of sequence iw? 1/91 Three letters picked without replacement from {z: 1, k: 1, w: 1, n: 1, a: 1}. What is prob of sequence zaw? 1/60 Calculate prob of sequence zzzz when four letters picked without replacement from znzzzzzznzzz. 14/33 What is prob of sequence fr when two letters picked without replacement from frrfr? 3/10 Calculate prob of sequence rg when two letters picked without replacement from {g: 1, d: 1, f: 1, h: 2, r: 1, c: 1}. 1/42 Calculate prob of sequence ce when two letters picked without replacement from {c: 1, k: 4, e: 2, w: 1}. 1/28 Calculate prob of sequence czzc when four letters picked without replacement from {z: 5, c: 9}. 60/1001 Calculate prob of sequence dede when four letters picked without replacement from eeededeedddee. 28/429 Two letters picked without replacement from {p: 2, w: 5, n: 6}. Give prob of sequence nw. 5/26 Two letters picked without replacement from lsllssgglgllssgls. Give prob of sequence gs. 3/34 What is prob of sequence hhh when three letters picked without replacement from {c: 3, h: 13}? 143/280 What is prob of sequence hof when three letters picked without replacement from {f: 1, h: 5, o: 5}? 5/198 What is prob of sequence gh when two letters picked without replacement from gzrrrrrzrrzqzqrhzrz? 1/342 Four letters picked without replacement from {r: 4, w: 2, f: 4, m: 2, l: 8}. What is prob of sequence mrlr? 8/4845 Three letters picked without replacement from hihhxxxi. Give prob of sequence xii. 1/56 Two letters picked without replacement from {p: 4, m: 2, s: 2, h: 12}. Give prob of sequence hh. 33/95 What is prob of sequence kyy when three letters picked without replacement from {t: 10, y: 6, k: 2}? 5/408 Four letters picked without replacement from rarrrrrrrrarar. Give prob of sequence rara. 5/182 Calculate prob of sequence pbb when three letters picked without replacement from bbxblxpxbblq. 1/66 What is prob of sequence zznz when four letters picked without replacement from {n: 3, z: 11}? 45/364 Three letters picked without replacement from avaaiiyyai. Give prob of sequence avy. 1/90 Two letters picked without replacement from jbnbzbjbnzjnjzjjznbn. What is prob of sequence zb? 1/19 Two letters picked without replacement from wwwkwwwkkwkwkwkkkkw. Give prob of sequence ww. 5/19 What is prob of sequence yks when three letters picked without replacement from jskywhjh? 1/336 Three letters picked without replacement from ooouoooooooououo. Give prob of sequence uou. 13/560 What is prob of sequence hve when three letters picked without replacement from {i: 1, e: 1, v: 1, o: 1, h: 3}? 1/70 Calculate prob of sequence vfv when three letters picked without replacement from ffffvvvf. 5/56 Two letters picked without replacement from quqiiqqqqoiqii. Give prob of sequence qi. 5/26 Three letters picked without replacement from {k: 5, b: 2}. What is prob of sequence kkb? 4/21 What is prob of sequence qqq when three letters picked without replacement from {q: 10}? 1 What is prob of sequence rrrr when four letters picked without replacement from rrrrrr? 1 Three letters picked without replacement from {t: 1, y: 2, h: 2}. What is prob of sequence yhh? 1/15 Calculate prob of sequence mm when two letters picked without replacement from mmmmmmmmmmmsm. 11/13 Three letters picked without replacement from {w: 1, m: 4, y: 9, o: 1, x: 2}. What is prob of sequence omm? 1/340 Two letters picked without replacement from {t: 1, u: 3, p: 2, b: 2, i: 12}. Give prob of sequence it. 3/95 Calculate prob of sequence jw when two letters picked without replacement from wxwjwkwkkjwjhhkwji. 4/51 Calculate prob of sequence ir when two letters picked without replacement from ipuipovr. 1/28 Calculate prob of sequence wvvv when four letters picked without replacement from vrwrvvrrvxw. 1/165 What is prob of sequence lfb when three letters picked without replacement from ppfpplbppsffplfp? 1/420 What is prob of sequence rj when two letters picked without replacement from {l: 1, e: 3, r: 6, j: 1, n: 3}? 3/91 Calculate prob of sequence pm when two letters picked without replacement from nltlpmltnptlmnntnptl. 3/190 What is prob of sequence pt when two letters picked without replacement from cptpctpcpcp? 1/11 Three letters picked without replacement from {t: 1, d: 1, f: 1}. What is prob of sequence dtf? 1/6 Calculate prob of sequence kl when two letters picked without replacement from lwkkuwutkxuxxl. 3/91 What is prob of sequence lv when two letters picked without replacement from duxpxxuuulxdxvx? 1/210 What is prob of sequence kkko when four letters picked without replacement from {o: 4, k: 15}? 455/3876 What is prob of sequence azi when three letters picked without replacement from zia? 1/6 What is prob of sequence ft when two letters picked without replacement from ftff? 1/4 Four letters picked without replacement from {h: 6, a: 12}. What is prob of sequence aaha? 11/102 Two letters picked without replacement from zsrrqhkz. What is prob of sequence rs? 1/28 Four letters picked without replacement from {a: 1, d: 12}. What is prob of sequence aaaa? 0 Two letters picked without replacement from yvjyyjvjy. Give prob of sequence vj. 1/12 Calculate prob of sequence hh when two letters picked without replacement from hthhhhnnhthhh. 6/13 Three letters picked without replacement from {x: 1, i: 1, r: 1, n: 4, c: 1}. Give prob of sequence xnr. 1/84 What is prob of sequence fff when three letters picked without replacement from fff? 1 What is prob of sequence xuqv when four letters picked without replacement from uqivvvx
{ "pile_set_name": "DM Mathematics" }
4*n**3. -4*(n - 2)*(n - 1)**2 Let d = 102337/2 - 51167. Determine m, given that -93/2*m + d*m**2 - 48 = 0. -1, 32 Let x be 18/24*((-42)/7 + -2). Let k be (120/28 + x)/((-15)/63). Let 24/5*h**3 + 8/5 + 52/5*h**2 + k*h = 0. Calculate h. -1, -2/3, -1/2 Let a = 19379/6195 - 184/59. Let m(p) be the third derivative of 0 - a*p**7 - 1/27*p**3 - 1/45*p**6 + 0*p + 16*p**2 + 1/27*p**4 + 1/135*p**5. Factor m(f). -2*(f + 1)**2*(3*f - 1)**2/9 Factor 2834/15*v**2 + 2/15*v**4 + 11616/5 - 164/15*v**3 + 7216/5*v. 2*(v - 44)**2*(v + 3)**2/15 Factor -32*f - 387 - 39*f**2 - 10*f + 467 + f**3. (f - 40)*(f - 1)*(f + 2) Let s(m) = m**3 - 2*m**2 - 13*m - 3. Let t be s(6). Let f be (84/t)/((-4)/(-9)). Factor -2*n**4 + n**4 + 6*n**f - 46*n**2 + 37*n**2. -n**2*(n - 3)**2 Let k(t) be the third derivative of -t**6/24 - 119*t**5/12 - 725*t**4 + 3000*t**3 + 581*t**2. What is y in k(y) = 0? -60, 1 Factor 0 + 9/4*y - 21/4*y**3 + 29/8*y**2 - 5/8*y**4. -y*(y - 1)*(y + 9)*(5*y + 2)/8 Let m be (2/(-29) + 31/29)*0/204. Suppose 2*f**2 - 10/13*f**3 + 12/13*f + m = 0. Calculate f. -2/5, 0, 3 Let c(h) be the second derivative of 0 + 0*h**3 + 6*h**2 - 1/16*h**4 - 26*h. Factor c(j). -3*(j - 4)*(j + 4)/4 Let z(f) be the third derivative of f**5/120 + 7*f**4/16 + 17*f**3/3 + 120*f**2 + 3*f. Suppose z(a) = 0. What is a? -17, -4 Let b be ((-3)/((-15)/(-4)))/((-132)/(-330)). Let c be (12000/(-1250))/((-3)/(-20)*b). Factor c + 1/2*o**2 - 8*o. (o - 8)**2/2 Let z(n) = -20*n**3 - 14*n**2 + 1348*n + 342. Let o(d) = 22*d**3 + 15*d**2 - 1339*d - 342. Let t(g) = -4*o(g) - 6*z(g). Factor t(w). 4*(w - 9)*(2*w + 19)*(4*w + 1) Suppose 0 = -199*y + 17068 - 16670. Factor -2/5*v**3 + 0 - 6*v**y + 32/5*v. -2*v*(v - 1)*(v + 16)/5 Suppose 59*t + 59*t = 111*t + 189. Let y(z) be the second derivative of -1/2*z**3 - 1/2*z**2 - t*z + 0 + 7/3*z**4. Factor y(s). (4*s - 1)*(7*s + 1) Let s(p) be the second derivative of 7*p**5/90 + 155*p**4/54 + 289*p**3/27 + 47*p**2/3 - 51*p + 26. Suppose s(q) = 0. Calculate q. -141/7, -1 Let k(r) be the first derivative of -r**4/16 + 391*r**3/12 - 38415*r**2/8 + 38025*r/4 - 3608. Factor k(f). -(f - 195)**2*(f - 1)/4 Let g = -1 - -16. Let h be 9/g + (-7)/(-5). Find t, given that t + 2*t**h + 54 - 17 + 19*t + 13 = 0. -5 Let u be -16*4/8 - -11. Suppose 0*v + u*v = -5*n + 15, -2*v = -3*n + 9. Factor 2/3*k**2 + 0*k + 0 + 2/9*k**4 + 8/9*k**n. 2*k**2*(k + 1)*(k + 3)/9 Let n(k) be the first derivative of 2*k**5/23 + 7*k**4/46 + 4*k**3/69 + 2033. Factor n(x). 2*x**2*(x + 1)*(5*x + 2)/23 Let n be (-75)/20*120000/(-3500). Factor -3/7*h**3 - 480/7*h - n - 69/7*h**2. -3*(h + 3)*(h + 10)**2/7 Let i(b) = 20*b**2 + 740*b + 1960. Let q(r) = 13*r**2 + 485*r + 1307. Let k(z) = 5*i(z) - 8*q(z). Factor k(m). -4*(m + 4)*(m + 41) Determine s, given that 16/5 + 2/5*s**3 + 4/5*s - 2*s**2 = 0. -1, 2, 4 Suppose 3*n - 4*q = 21, -n + 42*q - 39*q = -12. Suppose -n*c**2 + 1/3*c**3 - 5 + 23/3*c = 0. Calculate c. 1, 3, 5 Let n(g) = 4*g**4 + 150*g**3 + 1680*g**2 + 3680*g - 14. Let j(t) = t**4 + 30*t**3 + 336*t**2 + 736*t - 3. Let i(a) = 28*j(a) - 6*n(a). Factor i(p). 4*p*(p - 23)*(p + 4)**2 Let g(f) = f**2 - 9*f - 16. Let x(n) be the third derivative of n**5/30 - n**4/3 - 3*n**3 + 4*n**2 + 2. Let z(y) = 4*g(y) - 3*x(y). Let z(p) = 0. What is p? -5, -1 Let l be (-1)/(-3) - (-16)/(-12). Let f be 0 - (l - 1/1). Factor 11*h**4 + 5*h**f + 5*h**4 + 8*h**4 - 29*h**4. -5*h**2*(h - 1)*(h + 1) Let o be (-15)/(270/28)*-18 + -3 + -1. Let t(l) be the first derivative of 4*l**4 - 34 - 18*l - 2/5*l**5 + o*l**2 - 44/3*l**3. Factor t(x). -2*(x - 3)**2*(x - 1)**2 Let q(s) be the third derivative of 0*s - 140*s**2 + 0 - 1/60*s**5 - 3/2*s**3 - 5/12*s**4. Factor q(m). -(m + 1)*(m + 9) Suppose -1477*p + 14 = 1475*p - 2945*p. Factor 160/3*s - 1/3*s**p - 6400/3. -(s - 80)**2/3 Let b(s) be the third derivative of 70*s**2 + 7/12*s**6 + 0 + 20/3*s**3 - 35/4*s**4 + 0*s + 15/4*s**5. Determine w so that b(w) = 0. -4, 2/7, 1/2 Suppose -5*u + 18 = 3*q, 0 = 5*u + 6*q - q - 20. Suppose 5*c + y = c + 9, u*y - 3 = 0. Factor 4*s**3 + s**2 + 2*s**c - 4*s - s**2 + 8 - 10*s**2. 4*(s - 2)*(s - 1)*(s + 1) Let n(f) be the first derivative of f**7/168 - f**6/24 + f**5/10 - f**4/12 - 222*f - 175. Let l(p) be the first derivative of n(p). Factor l(j). j**2*(j - 2)**2*(j - 1)/4 Let j = 66 - 79. Let m(f) = -f**2 - 11*f + 28. Let l be m(j). Factor 22*z + 30*z**2 - 62*z - 15 - 60*z**l + 9*z**4 - 4*z**4. 5*(z - 3)*(z + 1)**3 Let d(k) = -k**2 - 6*k - 5. Let y(i) = 6*i**2 + 68*i - 76. Let u(j) = -4*d(j) - y(j). Factor u(m). -2*(m - 2)*(m + 24) Suppose 5*y = -20, -4*o - 2*y - y = -12. Factor -o*d**4 + 6*d**4 + 2*d**4 + 6*d**4 - 6*d**2 - 4*d - 6*d**4. 2*d*(d - 2)*(d + 1)**2 Let i(g) be the second derivative of 21*g - 1/21*g**7 - 1/2*g**4 + 2 - 1/3*g**6 + 0*g**2 - 7/10*g**5 + 0*g**3. Let i(r) = 0. What is r? -3, -1, 0 Determine b so that -6 - 180/11*b**3 + 4/11*b**5 + 26/11*b**4 + 200/11*b**2 + 16/11*b = 0. -11, -1/2, 1, 3 Let x be (-3)/(-8) + (-3611)/(-184). Let r(j) = 3*j**2 - 36*j - 7. Let z(h) = -2*h**2. Let l(v) = x*z(v) + 5*r(v). Factor l(y). -5*(y + 7)*(5*y + 1) Let g(n) be the third derivative of n**7/735 - n**6/56 - 29*n**5/420 + n**4 + 3690*n**2. Factor g(r). r*(r - 8)*(r - 3)*(2*r + 7)/7 Let z(j) = -26*j**2 - 47*j + 208. Let y(k) = 14*k**2 + 24*k - 104. Let a be (-3 - (-9)/7)/(2/7). Let o(g) = a*z(g) - 11*y(g). Factor o(i). 2*(i - 4)*(i + 13) Let v(q) be the first derivative of 7/9*q**2 + 75 + 4*q - 56/27*q**3 + 1/6*q**4. Factor v(w). 2*(w - 9)*(w - 1)*(3*w + 2)/9 Determine f, given that -1 - f**3 - 21/8*f**2 - 11/4*f - 1/8*f**4 = 0. -4, -2, -1 Factor 43*l**3 + 12485909 - 12487151 - 243*l + 138*l**2 - 16*l**3. 3*(l - 3)*(l + 3)*(9*l + 46) Let v(q) be the second derivative of 35/2*q**2 + 1/140*q**5 - 21*q + 11/56*q**4 + 0*q**3 + 0. Let k(d) be the first derivative of v(d). Factor k(u). 3*u*(u + 11)/7 Determine v, given that -13*v**2 - 8*v**2 - 881*v + 16*v**2 + 0*v**2 + 271*v = 0. -122, 0 Let w(x) be the third derivative of -1/60*x**5 + 86*x**2 + 0*x + 11/12*x**4 + 23/6*x**3 + 0. Determine z, given that w(z) = 0. -1, 23 Let j = 5037 - 5035. Let n(t) be the second derivative of 15/4*t**5 + 0*t**6 + 0 - 25/6*t**4 - 50*t**3 + 7*t + 180*t**j - 5/42*t**7. Factor n(u). -5*(u - 2)**3*(u + 3)**2 Let q(w) = -4*w**5 + 4*w**4 + w**3 + w**2 + w. Let i(l) = -23*l**5 + 16*l**4 + 24*l**3 + 6*l**2 - 21*l. Let m(u) = i(u) - 6*q(u). Factor m(s). s*(s - 3)**3*(s + 1) Let r = -36 - -32. Let p(d) = -d**2 - 5*d + 2. Let i be p(r). Factor i*t**3 + 3*t**4 - 2597 + 2597. 3*t**3*(t + 2) Let d be 12 + (3 + 126/(-14) - 1). Determine l, given that -147/5*l**d + 24/5 - 378/5*l**4 + 354/5*l**2 - 33/5*l**3 + 36*l = 0. -2, -1, -2/7, 1 Find y, given that -60*y**2 + 204 + 76*y - y**3 - 4*y**3 + y**3 - 39*y + 111*y = 0. -17, -1, 3 Let i(x) be the third derivative of x**7/1260 + 13*x**6/720 + x**5/9 + 9*x**2 + 345*x. Solve i(r) = 0 for r. -8, -5, 0 Let d(j) be the third derivative of -j**5/40 - 11*j**4/16 - 15*j**3/2 + 28*j**2 - 9. Factor d(h). -3*(h + 5)*(h + 6)/2 Let 697*k**2 + 7*k + 4*k + 9*k - 802*k**2 + 105*k**3 - 20*k**4 = 0. Calculate k. 0, 1/4, 1, 4 Let o(k) be the first derivative of k**4/2 + 26*k**3 + 176*k**2 + 408*k + 1845. Let o(n) = 0. What is n? -34, -3, -2 Factor 285437 + 3870*v - 32*v**2 + 27*v**2 - 1034282. -5*(v - 387)**2 Let c(f) be the second derivative of f**5/30 - 2*f**4 - 79*f**3/9 + 38*f**2 + 4*f - 59. Let c(l) = 0. What is l? -3, 1, 38 Let t(n) be the first derivative of 3240*n**2 + 87 - 180*n**4 + 360*n**3 - 19440*n - 5/6*n**6 + 21*n**5. Let t(u) = 0. Calculate u. -3, 6 Let p(d) be the first derivative of -4*d**3/15 + 3208*d**2/5 + 1284*d + 1462. Factor p(g). -4*(g - 1605)*(g + 1)/5 What is j in 1/3*j**2 + 664/3*j + 110224/3 = 0? -332 Let z(l) be the first derivative of l**3/21 + 47*l**2 - 1320*l/7 + 6486. Factor z(c). (c - 2)*(c + 660)/7 Let y(n) be the third derivative of -1/160*n**6 + 7/32*n**4 + 0 + 24*n**2 - 2*n + 1/2*n**3 + 1/40*n**5. Factor y(a). -3*(a - 4)*(a + 1)**2/4 Let u(y) be the third derivative of -y**6/300 + 2*y**5/15 - 67*y**4/60 + 16*y**3/5 - 4*y**2 - 70*y. Find h, given that u(h) = 0. 1, 3, 16 Let h be 2/2 - -1 - 0. Let u be 6 - (5112/162 - 26). Suppose 0*n - u*n**4 + 2/3*n**3 + 0*n**h + 0 - 2/9*n**5 = 0. What is n? -3, 0, 1 Factor 784 + 588/5*v
{ "pile_set_name": "DM Mathematics" }
True Is 342 even? True Is 116 a factor of 4749? False Does 110 divide 1430? True Does 27 divide 4569? False Is 16148 a multiple of 22? True Is 61 a factor of 5185? True Is 2900 a multiple of 74? False Does 20 divide 5279? False Does 23 divide 600? False Is 4572 a multiple of 127? True Is 57910 a multiple of 69? False Does 11 divide 295? False Is 253 a multiple of 32? False Is 47 a factor of 141? True Does 7 divide 154? True Is 1628 a multiple of 8? False Is 62 a factor of 2232? True Is 57 a factor of 42345? False Does 200 divide 1200? True Is 240 a multiple of 5? True Is 10 a factor of 866? False Is 494 a multiple of 151? False Is 25 a factor of 2725? True Is 118 a factor of 15340? True Is 37 a factor of 1332? True Is 205 a multiple of 60? False Is 8 a factor of 912? True Is 286 a multiple of 26? True Is 6271 a multiple of 3? False Is 19 a factor of 45201? True Is 14 a factor of 1806? True Is 33 a factor of 423? False Does 10 divide 400? True Is 5626 a multiple of 15? False Is 936 a multiple of 13? True Does 77 divide 28101? False Does 107 divide 74900? True Does 4 divide 1713? False Is 8 a factor of 75? False Is 5697 a multiple of 18? False Is 4452 a multiple of 28? True Is 12 a factor of 12720? True Is 12 a factor of 408? True Does 20 divide 1300? True Does 108 divide 6156? True Does 3 divide 221? False Is 128 a factor of 12171? False Does 7 divide 1182? False Does 6 divide 190? False Is 1615 a multiple of 7? False Is 900 a multiple of 10? True Is 7402 a multiple of 72? False Is 14 a factor of 60032? True Does 123 divide 78482? False Does 190 divide 2090? True Is 21941 a multiple of 14? False Is 413 a factor of 56150? False Is 22 a factor of 4420? False Is 179 a factor of 5394? False Does 10 divide 3470? True Is 28076 a multiple of 102? False Does 7 divide 46783? False Does 29 divide 18784? False Does 10 divide 1241? False Is 37435 a multiple of 52? False Is 1947 a multiple of 16? False Is 51 a factor of 16677? True Does 122 divide 10492? True Is 76597 a multiple of 58? False Does 3 divide 1402? False Is 4 a factor of 72? True Is 1150 a multiple of 5? True Does 183 divide 18139? False Is 16671 a multiple of 14? False Is 33 a factor of 792? True Does 33 divide 13670? False Is 230 a multiple of 10? True Does 21 divide 354? False Is 61 a factor of 637? False Does 91 divide 28847? True Is 24 a factor of 5400? True Does 35 divide 4585? True Is 69 a factor of 2139? True Does 11 divide 1034? True Is 5343 a multiple of 16? False Does 144 divide 31671? False Does 10 divide 2071? False Does 236 divide 1652? True Is 9 a factor of 4623? False Is 8 a factor of 3373? False Is 1273 a multiple of 42? False Does 4 divide 4081? False Is 103733 a multiple of 203? True Is 10 a factor of 1078? False Is 1127 a multiple of 48? False Is 78 a factor of 16023? False Is 98 a factor of 13340? False Is 62 a factor of 44865? False Is 37277 a multiple of 79? False Is 38 a factor of 107274? True Is 11 a factor of 16896? True Is 20 a factor of 520? True Is 7241 a multiple of 139? False Is 767 a multiple of 35? False Does 7 divide 5566? False Is 14 a factor of 1113? False Is 8552 a multiple of 2? True Is 1481 a multiple of 11? False Is 82 a factor of 7462? True Is 18 a factor of 2058? False Is 14 a factor of 245? False Is 35 a factor of 5950? True Does 5 divide 1380? True Is 59 a factor of 118? True Is 14 a factor of 18648? True Is 210 even? True Does 14 divide 476? True Does 13 divide 39351? True Is 9 a factor of 821? False Does 13 divide 59025? False Does 6 divide 96? True Is 76 a factor of 48640? True Is 3 a factor of 58? False Does 338 divide 3718? True Is 31 a factor of 7347? True Is 92 a factor of 92? True Does 6 divide 209? False Is 9 a factor of 3384? True Is 37 a factor of 6956? True Is 13 a factor of 20771? False Does 15 divide 937? False Does 91 divide 1543? False Is 6763 a multiple of 17? False Is 7 a factor of 55? False Is 1560 even? True Is 10 a factor of 824? False Is 7 a factor of 18582? False Does 18 divide 712? False Is 17 a factor of 1287? False Is 300 a multiple of 35? False Is 45 a factor of 810? True Is 30 a factor of 2370? True Is 31 a factor of 1738? False Does 75 divide 76200? True Is 21 a factor of 672? True Does 24 divide 10704? True Is 18 a factor of 684? True Is 1468 a multiple of 4? True Is 1068 a multiple of 15? False Does 29 divide 1778? False Is 9 a factor of 365? False Is 1917 a multiple of 26? False Does 8 divide 1706? False Does 10 divide 940? True Is 50 a factor of 14250? True Is 94 a factor of 9525? False Is 20 a factor of 2652? False Is 13 a factor of 338? True Does 23 divide 61654? False Is 64 a factor of 698? False Is 39230 a multiple of 255? False Is 21850 a multiple of 115? True Is 156 a factor of 37440? True Is 90 a multiple of 6? True Is 1767 a multiple of 4? False Is 22 a factor of 63910? True Does 14 divide 317? False Is 71 a factor of 115? False Is 2070 a multiple of 115? True Is 10 a factor of 780? True Is 242 a multiple of 2? True Is 28704 a multiple of 52? True Does 58 divide 3132? True Is 70 a multiple of 3? False Is 95 a factor of 9880? True Does 10 divide 5559? False Does 31 divide 5952? True Does 7 divide 266? True Is 152 a multiple of 4? True Does 3 divide 96? True Is 15040 a multiple of 9? False Is 3 a factor of 757? False Does 32 divide 2560? True Is 89 a multiple of 17? False Is 2236 a multiple of 86? True Is 25 a factor of 153350? True Does 3 divide 9900? True Does 19 divide 4560? True Does 2 divide 535? False Is 84 a factor of 1714? False Is 49 a factor of 18718? True Is 64619 a multiple of 25? False Does 11 divide 3014? True Is 14 a factor of 1232? True Does 36 divide 9252? True Does 45 divide 4503? False Does 213 divide 24282? True Does 82 divide 9515? False Is 111 a factor of 61938? True Does 20 divide 14169? False Is 2073 a multiple of 18? False Is 13 a factor of 7228? True Is 1245 a multiple of 143? False Is 92 a factor of 920? True Does 38 divide 323? False Does 56 divide 112? True Is 68 a factor of 5304? True Is 8 a factor of 144? True Is 300 a multiple of 24? False Is 195 a factor of 30858? False Is 39 a factor of 4122? False Does 6 divide 20683? False Is 550 a multiple of 39? False Does 31 divide 2011? False Does 12 divide 1116? True Does 213 divide 9798? True Is 8649 a multiple of 73? False Is 16 a factor of 1567? False Is 3 a factor of 21? True Is 18 a factor of 3165? False Is 8432 a multiple of 17? True Is 94440 a multiple of 221? False Is 9 a factor of 428? False Is 53 a factor of 4505? True Is 10 a factor of 84700? True Is 37830 a multiple of 303? False Does 71 divide 17111? True Is 31732 a multiple of 18? False Is 767 a multiple of 3? False Is 42893 a multiple of 67? False Is 12703 a multiple of 13? False Is 572 a multiple of 11? True Does 49 divide 3022? False Is 14 a factor of 3640? True Does 5 divide 32253? False Does 234 divide 91962? True Is 2685 a multiple of 15? True Does 55 divide 1650? True Is 1622 a multiple of 18? False Is 35980 a multiple of 140? True Is 1506 a multiple of 17? False Is 7803 a multiple of 9? True Does 24 divide 1001? False Is 76 a multiple of 29? False Is 18 a factor of 23526? True Is 76 a factor of 836? True Is 113 a factor of 24408? True Does 3 divide 934? False Is 17 a factor of 136? True Is 14508 a multiple of 41? False Does 37 divide 81078? False Does 279 divide 58590? True Is 20 a factor of 8078? False Is 118 a factor of 461? False Is 80 a factor of 11457? False Is 365 a factor of 14600? True Does 15 divide 3540? True Does 10 divide 200? True Does 4 divide 6949? False Is 508 a multiple of 16? False Does 5 divide 945? True Is 310 a multiple of 6? False Is 4143 a multiple of 10? False Is 1118 a multiple of 35? False Is 18 a factor of 1241? False Is 22 a factor of 4492? False Is 24 a factor of 10608? True Is 782 a multiple of 12? False Is 55 a factor of 1174? False Is 2223 a multiple of 23? False Is 1780 a multiple of 20? True Is 19 a factor of 2203? False Is 1589 a multiple of 7? True Is 14 a factor of 48634? False Does 2 divide 597? False Is 114 a factor of 22914? True Is 1100 a multiple of 20? True Is 25 a factor of 304? False Is 2554 a multiple of 6? False Is 15 a factor of 44280? True Is 308 a multiple of 28? True Is 32 a factor of 5727? False Is 1458 a multip
{ "pile_set_name": "DM Mathematics" }
09. 20096.58914591 1 + -3001.03013583 -3000.03013583 Add together 82 and -2931.57595. -2849.57595 Work out -6.2521779650087 - 2. -8.2521779650087 Sum 1 and -963948870125. -963948870124 -17266 + -100.905121 -17366.905121 Add together 0.2667562 and 8218305. 8218305.2667562 Sum 0.5614 and -7980109.1063. -7980108.5449 What is -0.11378192 plus 1.8482? 1.73441808 What is 223227 less than -459602.7? -682829.7 Put together 946544097500 and -35. 946544097465 What is the difference between -785364284 and -651027? 784713257 What is 3273 minus -1.1113399997? 3274.1113399997 What is -722.4047931 minus 0.098? -722.5027931 Subtract -1173448 from -241.1417. 1173206.8583 What is the distance between 0 and 74215.98735462? 74215.98735462 What is the difference between 34462.8654 and 18977? 15485.8654 What is -31836.1669 plus -0.6? -31836.7669 What is 0.2 less than -1050452310804? -1050452310804.2 -120590025.9+-68.86 -120590094.76 -3 + -41240622689667 -41240622689670 What is 721992.6679 less than -3.549? -721996.2169 What is 0.236 minus 69818087.21? -69818086.974 Work out -0.119 - -1037249344308. 1037249344307.881 -7158111754 + -0.011 -7158111754.011 What is 16031622303 less than 52? -16031622251 What is 9454711 less than -31163? -9485874 Calculate 53.36 - -22328.19293. 22381.55293 426 + -13303699722 -13303699296 What is 7 less than -13365053572817? -13365053572824 Sum 0.044324956 and 1.598. 1.642324956 Work out 0.3 + -1185995599. -1185995598.7 What is the distance between -6911010 and -9537578? 2626568 What is -16265204.03 - -21.2153? -16265182.8147 What is 0.2 plus -2912921557909? -2912921557908.8 Work out 238408089 - -2.16. 238408091.16 Total of -340437 and 68.6938. -340368.3062 Calculate 0.2184 - -50628656461. 50628656461.2184 757 - -1110305979 1110306736 What is the difference between 0.2 and -30109160529.1965? 30109160529.3965 What is 681 + -8283317441? -8283316760 What is the difference between 35202 and 54955983? 54920781 Add together -1.2056 and -609800964. -609800965.2056 Subtract -6069526011686 from -2. 6069526011684 What is 1181 plus 0.0737355925? 1181.0737355925 What is 0.0366484232 - 64? -63.9633515768 -1.490547768 - -199.76 198.269452232 -19609 - -74256.91 54647.91 What is 15831083 less than 9195124? -6635959 Work out -13638679373 - -3. -13638679370 What is -9728216741 - -8.483? -9728216732.517 192941111115+0.2 192941111115.2 What is the distance between 60900174 and 4787? 60895387 Calculate 0.118187 + -2005656.62. -2005656.501813 Total of -7599041483 and 23. -7599041460 What is 0.36856631 plus 15.088? 15.45656631 What is 5.1276 + -183681378? -183681372.8724 What is 0.0162117 minus -13814.456? 13814.4722117 What is 1.1691 take away -11.35964356? 12.52874356 What is 0.436 take away 176213.861? -176213.425 0.4 - -1775284569067 1775284569067.4 Work out -253 - -0.7976806836. -252.2023193164 What is -305.081 take away -0.683212? -304.397788 Add -2410 and 2825435740. 2825433330 Add together -0.251 and -251.2481488. -251.4991488 Subtract -171937770860 from -10. 171937770850 Subtract 0.5332 from -3277703. -3277703.5332 956.705+-7505560 -7504603.295 What is -193 take away -2920605.4761? 2920412.4761 What is the distance between -381 and -0.16416084727? 380.83583915273 -4 + -5321767241760 -5321767241764 Add -10841759091 and -77. -10841759168 11279 - -11578031 11589310 Total of -131738212.5 and -8.0461. -131738220.5461 Add together 0.54650567 and -25.8. -25.25349433 Sum -0.21 and -6182934202. -6182934202.21 3056+111327419857 111327422913 Put together 0.6386661432 and 97.7. 98.3386661432 What is -4246484563 less than -3.2? 4246484559.8 What is the difference between 20.695 and -92039617? 92039637.695 5017820899.409 + 0.4 5017820899.809 Work out 1561536550.315 + 3. 1561536553.315 Calculate -0.26 + -17911741463. -17911741463.26 What is 907 + 12720507.933? 12721414.933 What is 0.049157 plus 17468998? 17468998.049157 Calculate -94385910319 - 121. -94385910440 What is -47.4312 - -4180288.84? 4180241.4088 Work out -589 - 844.44838. -1433.44838 Work out -64 - -44.03641. -19.96359 Calculate -671489270 + -569. -671489839 Total of 48385364683613 and -0.3. 48385364683612.7 What is 1364 - 67831754799? -67831753435 What is the difference between -166699706.4 and 0.2? 166699706.6 What is 1765758 minus -940534? 2706292 What is 0.6011567 less than 36363.7? 36363.0988433 Add -0.4 and -0.035474410357. -0.435474410357 Calculate -327.2691634576 + 2.2. -325.0691634576 Put together -197458015556 and -5. -197458015561 Work out -40864579 - -1117.42. -40863461.58 What is 13 plus 48611337.4? 48611350.4 Calculate 3529074699 - -194. 3529074893 Add 1.1982735225 and 0.0064. 1.2046735225 Subtract -1893954.78946 from -0.8. 1893953.98946 What is the difference between -0.0384645884004 and 16? 16.0384645884004 What is -10123.430937 less than 0.02? 10123.450937 Add 113731 and 176311780. 176425511 What is the difference between -14000744 and 16551? 14017295 Total of 1 and -37886691648737. -37886691648736 -5.4022893 - 1759.834 -1765.2362893 -22.1+83550466 83550443.9 Calculate 67372 - 197090684. -197023312 What is 83.84 - 66306666? -66306582.16 -5460486 - 0.3066812 -5460486.3066812 What is 6.02455 plus -2094073198? -2094073191.97545 Add together -7829.4903895766 and -0.2. -7829.6903895766 Add -187.60906 and 1.892563. -185.716497 Calculate 1001549405278 - 0.06. 1001549405277.94 What is -7 take away 4253358043064? -4253358043071 0+-18714.73670603 -18714.73670603 Total of -0.07 and 2.128952519955. 2.058952519955 -38 + -3738448362 -3738448400 Work out -7421.71601218 - 0.6. -7422.31601218 What is the distance between 1 and 113749801665000? 113749801664999 Total of 4 and 1532907249211. 1532907249215 What is -18.89 + 0.14749055? -18.74250945 45495 + -0.1400059 45494.8599941 What is -0.13825 minus -4.31392153? 4.17567153 What is 0.5774 less than 135420764673? 135420764672.4226 Total of -34471276.712 and 771. -34470505.712 What is the difference between 535268.7 and 3576? 531692.7 Work out 267435.98011 - 354. 267081.98011 Add together -3223 and -29794164467. -29794167690 What is -1439874167 less than -7.29774? 1439874159.70226 Work out 5506.9843 + 629853. 635359.9843 Work out 657057815 + 2. 657057817 Add 5663026804 and 7394. 5663034198 What is -86192 take away 94806.286? -180998.286 What is -5936.7608 - -3175? -2761.7608 What is the distance between -119 and 9911386859? 9911386978 -0.7+1005351848.21 1005351847.51 Sum -1231676776 and 124.852. -1231676651.148 Subtract -0.6 from -3843881787611. -3843881787610.4 Add together -0.044893511773 and 19.063. 19.018106488227 -1822+-4720.5230693 -6542.5230693 Subtract 1 from -2003685923382. -2003685923383 Put together 0.4 and 15726.9201530952. 15727.3201530952 What is 1.3 less than 96.103707657? 94.803707657 Work out 8412.7308639 + 0.037. 8412.7678639 Work out 6667957 + 0.065000747. 6667957.065000747 What is 18887891 take away 0.02013? 18887890.97987 2439 - 2297109145.1 -2297106706.1 Put together 272596 and 1535025. 1807621 What is -153719172 take away -0.7013788? -153719171.2986212 Add -25800 and 25256.65. -543.35 What is -544710 less than -197377330? -196832620 -260605 + 23589717 23329112 Calculate -400 - 40.36758419. -440.36758419 What is 0.3 + -6584889628401? -6584889628400.7 What is 67373423 take away 7367782? 60005641 Work out -309728388.8 - 1.29. -309728390.09 What is 1 less than -2089762.3891466? -2089763.3891466 What is 6984931.821 less than -0.02815? -6984931.84915 0.0431 - -555341164 555341164.0431 What is -179277 less than -399.709264? 178877.290736 -5 - 0.155566177600817 -5.155566177600817 Add -1374.838197407 and -0.4. -1375.238197407 What is 0.262024 minus 9.5854? -9.323376 What is 26584454667 - -0.2352? 26584454667.2352 Add together -3630768762700 and -57. -3630768762757 -14.51 + -0.80412979 -15.31412979 What is -21 + 58676.85289? 58655.85289 What is the difference between 1427449.4 and -384.4? 1427833.8 What is -2749 - 0.12535302314? -2749.12535302314 What is the distance between 4008.512483958 and -0.16? 4008.672483958 Add -13613208.47 and -0.0311. -13613208.5011 What is the distance between -6 and 34876.341156764? 34882.341156764 Total of -6266.4667178 and -0.9407. -6267.4074178 What is the distance between 7189 and -35150.606? 42339.606 Put tog
{ "pile_set_name": "DM Mathematics" }
qrt(637))*-6*-1)**2. -339260 + 15936*sqrt(13) Simplify (1*(-2*sqrt(6336))/sqrt(2))/(sqrt(2)*-4*-6 + sqrt(2) + -3*sqrt(162) + sqrt(162)). -24*sqrt(11)/7 Simplify (2*sqrt(117)*-3 + sqrt(117)*3*6)/(-4*-2*sqrt(18)/sqrt(2)*-2) + 0. -3*sqrt(13)/4 Simplify (6*(sqrt(76) + (sqrt(76) + (sqrt(76) + sqrt(76)*2*-4 - sqrt(76)) - sqrt(76))))/(-3*sqrt(324)*5)*3. 14*sqrt(19)/15 Simplify (-4 + sqrt(11)*-1 - -4*sqrt(11)*5)**2 + (sqrt(55)/((sqrt(5) + sqrt(5) + -2*sqrt(5) + sqrt(5))*3))**2 + 0. -152*sqrt(11) + 35894/9 Simplify ((-6*-6*sqrt(3648)*1)/(-5*sqrt(108)*-1))**2. 43776/25 Simplify 4 + sqrt(34)/((-2*sqrt(22))/sqrt(11) - sqrt(2)) + (sqrt(833) - 1*(sqrt(833) - sqrt(833)*1))*-5. -106*sqrt(17)/3 + 4 Simplify ((sqrt(77) - -3*sqrt(77))*6 + (sqrt(77) - 2*sqrt(77))*-2)/(2*5*(sqrt(567) - (sqrt(567)*3 - sqrt(567)))). -13*sqrt(11)/45 Simplify ((1*sqrt(528)/sqrt(11) - 2*-6*sqrt(12)/sqrt(4)) + 5)*-4. -64*sqrt(3) - 20 Simplify (3*(sqrt(1728) - (sqrt(1728) - 2*sqrt(1728)*-5)))/((sqrt(108) + sqrt(108) + sqrt(108) + 5*sqrt(108)*-1)/(1*sqrt(1452))). 1320*sqrt(3) Simplify (-4*((-3*(sqrt(102) + (sqrt(102)*-2 - sqrt(102)) + sqrt(102)) - sqrt(102)) + sqrt(102) + sqrt(102))*-5)/((-1*sqrt(162))/(sqrt(108) - 2*sqrt(108))). 160*sqrt(17) Simplify 1*(-2*(sqrt(120)*2*3)/sqrt(4))/((1*sqrt(100) + sqrt(100))/sqrt(10) - 2*(sqrt(10) - sqrt(10)*2)). -3*sqrt(3) Simplify -3 + 2*(sqrt(275)*-1)**2 + ((sqrt(1584) + -4)*-6 + 0)**2. -3456*sqrt(11) + 58147 Simplify ((sqrt(180) + -2 - sqrt(180))*-1*3 - (3*3*sqrt(180) + 2))**2 + 3. -432*sqrt(5) + 14599 Simplify (-5*(3*(sqrt(448) - (sqrt(448) + sqrt(448) + -1)) + (2 + sqrt(448))*5 - (1 + sqrt(448) + 2 + 3)))**2. 2800*sqrt(7) + 12425 Simplify (2 + -3 + -1*(4*-2*sqrt(1539) + -4) + -5 + 2 + 2)**2. 288*sqrt(19) + 98500 Simplify ((1 + (-4*(sqrt(200) + -1) - sqrt(200))**2)*-2 + -5*(((2*sqrt(200) - sqrt(200)) + 5)**2 + 3*-1*sqrt(200)))*-3. -1350*sqrt(2) + 33477 Simplify 5 + ((sqrt(85)*3*-1 - sqrt(85)*2*-4)/(4*-6*sqrt(180)*-1))**2. 104105/20736 Simplify (sqrt(55) - (2*sqrt(3520) + sqrt(55)) - ((sqrt(605)*-3)/sqrt(11) + sqrt(55)))/((sqrt(50) + (sqrt(4050) - sqrt(4050)*-3))/sqrt(10)*-2). 7*sqrt(11)/37 Simplify (-3*(sqrt(1452) - (-5*2*sqrt(1452) + sqrt(1452))))/(2*((sqrt(112) - sqrt(28))*5)/sqrt(7)). -33*sqrt(3) Simplify (4*(sqrt(320) + -1 + sqrt(320)) + sqrt(320) + sqrt(320) + sqrt(320))*6*-2 - (5 + (sqrt(605) + sqrt(605) + sqrt(605)*1 + 5)*5)**2. -136977 - 10956*sqrt(5) Simplify (0 + sqrt(1539) - (sqrt(684) + 0) - 5*(sqrt(1216)*-1)**2*-4)*-1. -24320 - 3*sqrt(19) Simplify (5 + (sqrt(2448) - (-3 + sqrt(2448) + (sqrt(2448) + 3 - sqrt(2448)) + sqrt(2448)) - (4*sqrt(2448) - sqrt(2448))*5)*-4)**2. 7680*sqrt(17) + 10027033 Simplify -3*((sqrt(468) + sqrt(52))/sqrt(4) - (-1 + sqrt(39)/sqrt(3)) - (5 + 2 + -1*sqrt(208)))**2. -2019 + 252*sqrt(13) Simplify 2 + ((-6*sqrt(77)*2)/sqrt(11))**2*5 + (sqrt(77) + (sqrt(77) - 1*(sqrt(77)*1 + sqrt(77))) - sqrt(77))/(sqrt(77)/sqrt(28)). -2*sqrt(7) + 5042 Simplify ((4 + sqrt(153) + 0 + 3 + (4 + sqrt(153) + -1 - sqrt(153) - 6*(sqrt(153) + 1)) + -5)*-3)**2. 270*sqrt(17) + 34434 Simplify (1 + sqrt(468) + -1*2*sqrt(468) + -1 - (sqrt(468) + sqrt(468)*-1*5 - 5*(0 + sqrt(468))))**2. 29952 Simplify ((sqrt(270) - (sqrt(270) + -2*sqrt(270)*-6 + sqrt(270)))/sqrt(6)*-1)/((sqrt(432)/sqrt(128) - sqrt(54))/(sqrt(6) + 2*sqrt(486))). -988*sqrt(5)/3 Simplify -1 + -5 + (3*((0 + sqrt(175))*3 + -2))**2 + 2. -540*sqrt(7) + 14207 Simplify (-5*(-2 + ((sqrt(190) - (sqrt(190) + -5*sqrt(190)*-1 + sqrt(190))) + sqrt(190))/(-6*sqrt(250))) + 4)**2 + 0. -70*sqrt(19)/3 + 7531/36 Simplify ((0 + (4*-2*-1*sqrt(425) - 1*5*(sqrt(425) - (2 + sqrt(425)))))*2)**2. 3200*sqrt(17) + 109200 Simplify (4*sqrt(1920)*4 + sqrt(1920))/(sqrt(1000) - 2*sqrt(1000)*-6 - sqrt(1000))*3*-5. -17*sqrt(3) Simplify -4 + -1*(-1*3*(sqrt(190) - (sqrt(190)*-2 - sqrt(190) - sqrt(190))))/(-3*(3*sqrt(490) + sqrt(490)) + sqrt(490)). -4 - 15*sqrt(19)/77 Simplify 2*((-2*sqrt(350))/sqrt(10) + (sqrt(35) - (sqrt(35) - sqrt(315)*2)))/(-1*sqrt(245)*-4)*-6. -12*sqrt(7)/7 Simplify sqrt(175) + sqrt(175) + (-1*sqrt(175))**2 + -5 + sqrt(175) + sqrt(175) + 6*(sqrt(175) + 0 + sqrt(175)) - (-6*((sqrt(175) + 2)*6 + sqrt(175) + 3))**2. -316630 - 37720*sqrt(7) Simplify (sqrt(1216) + sqrt(1216)*-1 + -1 + 1)**2 + (-4 + sqrt(684) - (sqrt(228)/sqrt(12)*-3 - sqrt(19))). -4 + 10*sqrt(19) Simplify 5 + (sqrt(1573) - 2*(2 + sqrt(1573)))*-4 - ((-5 + (sqrt(1573)*-2 - sqrt(1573))**2 + sqrt(1573) - -6*(-1 + sqrt(1573))) + -3). -14122 - 33*sqrt(13) Simplify (sqrt(110)*3*5 + (sqrt(110) + sqrt(110)*-4)*-2)/((sqrt(360)*-1 + sqrt(360) - sqrt(360) - sqrt(360))*3*-6). 7*sqrt(11)/72 Simplify (sqrt(17) + 3 + -2)**2 - sqrt(153)/sqrt(9)*-2 - (sqrt(119) - (5*(sqrt(119) + 1*sqrt(119)) + sqrt(119) + sqrt(119)))/(-2*sqrt(700)). 69*sqrt(17)/20 + 18 Simplify (-4 + 6*(sqrt(275) + sqrt(275) + -1) + 2 + sqrt(275)*-1 + 1 + -5*(2 + sqrt(275)))**2*2. -2040*sqrt(11) + 20378 Simplify (-3*(2 + -2 + sqrt(1088) + sqrt(1088) + 1 - (1 + 2 + -2 + sqrt(1088))))**2 + 1. 9793 Simplify (((1*sqrt(102)*5)/sqrt(6) - (-4 + sqrt(153)*-1)) + 3*sqrt(425) + (sqrt(119) - -1*sqrt(119))/sqrt(7) + 5)**2. 450*sqrt(17) + 10706 Simplify ((sqrt(98) + 1*sqrt(98))*-2 + 1)**2*3 - (sqrt(32) + -3 + sqrt(98)*-1 - (sqrt(108)/(sqrt(6) + sqrt(24)))/sqrt(9)). -494*sqrt(2)/3 + 4710 Simplify 2*(((3 + sqrt(1573) + -1)**2 - sqrt(1573)) + (1 + sqrt(1573))*-2)*4 + 1 + -4. 88*sqrt(13) + 12597 Simplify ((1*sqrt(1200)*-5)/((-1*sqrt(4374))/sqrt(9)) + 4)**2. 400*sqrt(2)/9 + 6296/81 Simplify (3*(-2 + (2*sqrt(216))/sqrt(8) - (5 + (2*sqrt(108))/sqrt(4))))**2*1 + -3. 438 Simplify -4 + 0 + -3*(1 + sqrt(704)*1 + sqrt(704)) + ((1 + sqrt(704))*3 - (-6*(-1 + sqrt(704))**2 + sqrt(704))). -128*sqrt(11) + 4226 Simplify ((sqrt(136)*-2*-3)/(1*sqrt(968) - sqrt(8) - sqrt(8)) + 5 + sqrt(17) + (1*sqrt(17) + -1 - sqrt(17)) + -1)**2. 10*sqrt(17) + 506/9 Simplify (5*(-5*sqrt(504) - sqrt(56)))/((-1*sqrt(4))/sqrt(2) - sqrt(200)*4). 160*sqrt(7)/41 Simplify (sqrt(2736)*2*4 - 1*(-1 + sqrt(2736)) - (5*(-2*sqrt(133) + sqrt(133)))/((sqrt(84)*1)/sqrt(12)))**2. 178*sqrt(19) + 150500 Simplify ((((-2*sqrt(70) - sqrt(70))*-6 + sqrt(70) - sqrt(70)) + (sqrt(70) + sqrt(70) + 4*sqrt(70)*-3 - sqrt(70)))/((sqrt(250)*-2*-3 + sqrt(250))*1))**2*3. 21/25 Simplify (6*(4*sqrt(70)*3 - sqrt(70))/((sqrt(80)*-1 - sqrt(80))/sqrt(8) - sqrt(10)) + -2)**2*6. 528*sqrt(7) + 20352 Simplify (((sqrt(500)*-1)/sqrt(10) + (sqrt(50) - (sqrt(50) - (sqrt(50) + 3*sqrt(50)*2))))*-4)/(2*sqrt(160)*2 - 3*(sqrt(160) - -1*sqrt(160))). 3*sqrt(5) Simplify (2 + (2 + sqrt(80))*-5)**2*-2 - ((sqrt(40) - sqrt(280)/sqrt(7))*-5)/(sqrt(128)*-5). -4128 - 640*sqrt(5) Simplify (((sqrt(165)*-2 + sqrt(165) + sqrt(165))*-1)/(-6*(sqrt(5) + -2*sqrt(5))))/(-3*(sqrt(27)*3 - (1*sqrt(30))/sqrt(10))). 0 Simplify (-3*sqrt(4114) + sqrt(4114) + (sqrt(170) + (sqrt(170) - (-3*sqrt(170) + sqrt(170))))/sqrt(5))/((-1*sqrt(18)*-4)/(2*sqrt(81) - sqrt(81))). -27*sqrt(17)/2 Simplify 1 + (-1 + (sqrt(108)*-1)/sqrt(6)*-4 + sqrt(18)*-1*6 + -1 + sqrt(18) + 4)**2. -12*sqrt(2) + 23 Simplify (-2 + 6*-3*(4 + 0 + (sqrt(208) + -2)*-4)**2)*1. -62498 + 6912*sqrt(13) Simplify -2 + (3 + -1 + sqrt(500) + -2 + sqrt(500)*-1 - -3*(sqrt(500) + 0 + sqrt(500) - sqrt(500) - sqrt(500))*5) + 1. -1 Simplify (-4 + 4 + 0 + sqrt(275))*3 - ((sqrt(275) - (sqrt(275) + (sqrt(275)*-2 - sqrt(275)))) + -3 + (-6*sqrt(275)*-1 - sqrt(275)))**2*-1. -225*sqrt(11) + 17609 Simplify ((-1*-3*sqrt(210))/(-2*sqrt(252)))/((sqrt(10) + (sqrt(350)/sqrt(7))/sqrt(5))*-6*-4). -sqrt(3)/192 Simplify -5*(1 + (-1*sqrt(704) + sqrt(44)*2 + -3 - (sqrt(704) + 0 - (sqrt(44) + sqrt(176)/sqrt(4)*-5)))). 10 + 100*sqrt(11) Simplify ((sqrt(204)*-1*-2 - sqrt(204)) + sqrt(204) + ((sqrt(204)*4 - sqrt(204)) + sqrt(204))*-5)/((sqrt(96)/sqrt(2)*6)/(sqrt(576) + 1*sqrt(576))). -72*sqrt(17) Simplify sqrt(350)/(sqrt(42)/(sqrt(6)*-2)) + -3 + 3*sqrt(20)/sqrt(160) + -3. -37*sqrt(2)/4 - 6 Simplify sqrt(10)/(sqrt(605)*-2) + sqrt(20)/(sqrt(60)/sqrt(54)) - ((-6*sqrt(128)*2 + -1)**2 + -2). -18431 - 4159*sqrt(2)/22 Simplify (-5*-6*(sqrt(243) + 2) + 4 + (sqrt(243)*1 + 4 - 2*sqrt(243)*-2) + 1)**2. 43470*sqrt(3) + 302436 Simplify ((sqrt(33)*-1 + sqrt(33) + sqrt(33))*-2 - sqrt(99)/sqrt(3)*-6)/(sqrt(44)*-3 - 6*sqrt(11)*3). -sqrt(3)/6 Simplify (sqrt(20) - sqrt(220)/(sqrt(33)/sqrt(3)))/((sqrt(10)
{ "pile_set_name": "DM Mathematics" }
are there between 11:37 PM and 7:53 AM? 496 What is 457 minutes after 9:48 AM? 5:25 PM What is 572 minutes after 6:48 AM? 4:20 PM What is 25 minutes after 4:10 PM? 4:35 PM How many minutes are there between 9:41 PM and 5:28 AM? 467 What is 618 minutes after 4:55 PM? 3:13 AM What is 240 minutes before 12:41 PM? 8:41 AM How many minutes are there between 10:58 AM and 8:39 PM? 581 How many minutes are there between 7:17 PM and 12:08 AM? 291 What is 514 minutes after 12:12 PM? 8:46 PM What is 623 minutes before 5:25 PM? 7:02 AM How many minutes are there between 3:49 PM and 9:44 PM? 355 What is 414 minutes before 10:18 AM? 3:24 AM What is 616 minutes after 3:37 AM? 1:53 PM How many minutes are there between 2:29 PM and 12:24 AM? 595 What is 19 minutes after 2:53 AM? 3:12 AM What is 677 minutes before 10:07 AM? 10:50 PM What is 631 minutes after 3:14 AM? 1:45 PM How many minutes are there between 5:14 AM and 2:47 PM? 573 What is 557 minutes after 3:52 AM? 1:09 PM How many minutes are there between 4:18 PM and 3:04 AM? 646 How many minutes are there between 5:00 AM and 3:28 PM? 628 What is 223 minutes after 9:08 PM? 12:51 AM What is 321 minutes before 5:44 AM? 12:23 AM What is 676 minutes after 11:09 AM? 10:25 PM How many minutes are there between 3:37 AM and 11:00 AM? 443 How many minutes are there between 4:19 PM and 1:14 AM? 535 What is 323 minutes after 5:06 AM? 10:29 AM How many minutes are there between 7:44 PM and 2:18 AM? 394 How many minutes are there between 5:01 PM and 7:37 PM? 156 How many minutes are there between 7:33 PM and 3:10 AM? 457 How many minutes are there between 6:06 PM and 6:10 PM? 4 How many minutes are there between 7:37 PM and 10:10 PM? 153 What is 152 minutes after 3:17 PM? 5:49 PM How many minutes are there between 10:18 AM and 11:06 AM? 48 How many minutes are there between 2:21 PM and 11:40 PM? 559 How many minutes are there between 9:11 AM and 6:31 PM? 560 What is 708 minutes after 10:40 AM? 10:28 PM What is 546 minutes after 2:29 PM? 11:35 PM What is 10 minutes before 9:32 PM? 9:22 PM How many minutes are there between 3:37 AM and 11:24 AM? 467 How many minutes are there between 6:58 AM and 5:50 PM? 652 How many minutes are there between 7:48 AM and 7:13 PM? 685 What is 612 minutes after 5:44 AM? 3:56 PM How many minutes are there between 7:02 AM and 7:22 AM? 20 How many minutes are there between 1:26 AM and 6:21 AM? 295 How many minutes are there between 6:48 PM and 7:23 PM? 35 How many minutes are there between 8:36 PM and 9:43 PM? 67 What is 697 minutes before 7:59 AM? 8:22 PM What is 414 minutes before 3:56 AM? 9:02 PM What is 209 minutes before 1:44 AM? 10:15 PM How many minutes are there between 11:08 PM and 1:29 AM? 141 What is 38 minutes after 3:31 AM? 4:09 AM What is 104 minutes after 1:02 AM? 2:46 AM What is 394 minutes after 12:59 PM? 7:33 PM What is 277 minutes before 11:50 PM? 7:13 PM How many minutes are there between 10:27 PM and 3:10 AM? 283 What is 154 minutes before 9:13 AM? 6:39 AM How many minutes are there between 6:34 PM and 8:41 PM? 127 How many minutes are there between 10:15 PM and 4:28 AM? 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141 How many minutes are there between 3:31 PM and 10:10 PM? 399 What is 667 minutes before 12:17 PM? 1:10 AM What is 468 minutes after 3:35 AM? 11:23 AM How many minutes are there between 11:38 AM and 12:47 PM? 69 How many minutes are there between 12:25 AM and 12:31 AM? 6 What is 135 minutes before 4:39 AM? 2:24 AM How many minutes are there between 10:22 AM and 8:04 PM? 582 What is 448 minutes after 7:56 PM? 3:24 AM What is 586 minutes after 9:10 PM? 6:56 AM How many minutes are there between 10:26 AM and 12:36 PM? 130 How many minutes are there between 7:22 AM and 11:18 AM? 236 How many minutes are there between 4:14 AM and 3:35 PM? 681 What is 102 minutes before 8:05 AM? 6:23 AM What is 291 minutes before 10:53 AM? 6:02 AM How many minutes are there between 7:44 AM and 12:46 PM? 302 What is 191 minutes before 1:42 PM? 10:31 AM How many minutes are there between 7:39 PM and 1:53 AM? 374 How many minutes are there between 5:07 PM and 8:13 PM? 186 What is 40 minutes after 10:48 AM? 11:28 AM How many minutes are there between 5:22 PM and 4:09 AM? 647 What is 91 minutes after 10:44 AM? 12:15 PM How many minutes are there between 7:49 AM and 2:52 PM? 423 What is 678 minutes before 2:29 PM? 3:11 AM How many minutes are there between 10:37 AM and 12:32 PM? 115 What is 584 minutes before 1:35 AM? 3:51 PM How many minutes are there between 12:35 AM and 7:06 AM? 391 What is 470 minutes after 8:20 AM? 4:10 PM How many minutes are there between 10:25 PM and 3:28 AM? 303 How many minutes are there between 5:29 AM and 5:54 AM? 25 What is 402 minutes before 6:49 AM? 12:07 AM What is 636 minutes before 7:10 AM? 8:34 PM How many minutes are there between 6:18 PM and 8:52 PM? 154 How many minutes are there between 3:20 PM and 11:48 PM? 508 How many minutes are there between 8:14 AM and 1:36 PM? 322 What is 643 minutes after 11:18 AM? 10:01 PM How many minutes are there between 3:29 AM and 8:24 AM? 295 What is 117 minutes before 3:06 AM? 1:09 AM How many minutes are there between 1:56 PM and 12:12 AM? 616 How many minutes are there between 9:02 PM and 6:15 AM? 553 What is 111 minutes after 7:45 AM? 9:36 AM How many minutes are there between 8:03 PM and 6:55 AM? 652 What is 699 minutes after 8:33 PM? 8:12 AM What is 139 minutes after 8:54 AM? 11:13 AM How many minutes are there between 5:04 PM and 5:48 PM? 44 What is 249 minutes after 1:09 AM? 5:18 AM How many minutes are there between 7:50 PM and 12:43 AM? 293 How many minutes are there between 5:59 AM and 10:25 AM? 266 How many minutes are there between 9:48 AM and 7:57 PM? 609 What is 97 minutes before 12:05 PM? 10:28 AM What is 539 minutes before 2:58 AM? 5:59 PM How many minutes are there between 10:33 AM and 7:25 PM? 532 What is 485 minutes before 8:58 PM? 12:53 PM What is 470 minutes after 8:48 AM? 4:38 PM What is 468 minutes before 12:11 PM? 4:23 AM How many minutes are there between 7:16 PM and 6:58 AM? 702 How many minutes are there between 3:23 PM and 8:26 PM? 303 What is 197 minutes after 10:23 PM? 1:40 AM What is 669 minutes after 5:33 AM? 4:42 PM How many minutes are there between 8:17 PM and 3:43 AM? 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{ "pile_set_name": "DM Mathematics" }
- 5. Suppose 9 = 4*s + y. Determine l so that -4*l + 4*l**s - 5*l + 3*l + 2 = 0. 1/2, 1 Let c(g) be the second derivative of -g**7/60 - g**6/15 - g**5/20 + g**4/6 + 2*g**3/3 + g. Let j(f) be the second derivative of c(f). Factor j(y). -2*(y + 1)**2*(7*y - 2) Let a(c) = c**5 + 3*c**4 + 3*c**3 - 3*c**2 + 2*c. Let d(b) = -b**5 - b**4 - b**3 + b**2 - b. Let v(l) = -a(l) - 2*d(l). Let v(o) = 0. What is o? -1, 0, 1 Suppose -6 - 16 = -3*l + 2*x, 3*l = 4*x + 32. Let 0 - 1/3*f**3 + 2/3*f**5 + f**l - f**2 - 1/3*f = 0. What is f? -1, -1/2, 0, 1 Let m(o) be the second derivative of 1/30*o**6 - 1/20*o**5 - o + 0*o**2 + 0 - 1/12*o**4 + 1/6*o**3. Find i such that m(i) = 0. -1, 0, 1 Let b = 14 + -11. Factor 7*c**2 - 4*c + 3*c - b*c**2. c*(4*c - 1) Let t = 24 - 18. Let s = t + -17/3. Find f such that -s*f**3 + f**2 - 4/3 + 0*f = 0. -1, 2 Suppose 0*u + 12 = 4*u + 4*c, 12 = 4*u + 2*c. Factor -14/5*v**u - 18/5*v**2 - 4/5*v + 0. -2*v*(v + 1)*(7*v + 2)/5 Let n(x) = 5*x**2. Let u be n(1). Let s(j) be the second derivative of 0 - j - 1/18*j**3 + 1/60*j**u - 1/36*j**4 + 1/90*j**6 + 0*j**2. Let s(h) = 0. What is h? -1, 0, 1 Determine j so that 8*j**3 + 12*j**2 + 2*j**3 + 4*j + 2*j**3 + 4*j**4 = 0. -1, 0 Factor 1/4*j - 1/4*j**4 + 3/4*j**3 + 0 - 3/4*j**2. -j*(j - 1)**3/4 Let b be (8/56)/((-2)/(-12)). Factor 8/7*h**2 - 2/7 - b*h. 2*(h - 1)*(4*h + 1)/7 Let q(n) be the first derivative of 1/9*n**3 + 1/5*n**5 + 0*n**2 + 1/4*n**4 + 3 + 1/18*n**6 + 0*n. Factor q(h). h**2*(h + 1)**3/3 Find m, given that -9*m**2 - 1/4*m**4 - 5/2*m**3 - 27/2*m - 27/4 = 0. -3, -1 Let y(d) be the second derivative of -7*d**6/120 + d**5/40 + 7*d**4/48 - d**3/12 - 5*d. Factor y(w). -w*(w - 1)*(w + 1)*(7*w - 2)/4 Let u(m) be the second derivative of 343*m**5/110 - 98*m**4/11 + 112*m**3/11 - 64*m**2/11 - 13*m. Factor u(r). 2*(7*r - 4)**3/11 Let b(l) be the third derivative of -l**10/75600 + l**8/8400 - l**6/1800 - l**4/12 + l**2. Let a(z) be the second derivative of b(z). Factor a(h). -2*h*(h - 1)**2*(h + 1)**2/5 Let j = -274/5 - -55. Let d(h) be the third derivative of -8*h**3 - h**2 - 6/5*h**5 + 0 + 0*h + j*h**6 + 4*h**4 - 1/70*h**7. Factor d(c). -3*(c - 2)**4 Factor 0 + 0*s - 4/7*s**4 - 16/7*s**3 - 16/7*s**2. -4*s**2*(s + 2)**2/7 Let 28*t**3 - 5*t - 5*t**5 - 20*t**2 - 13*t**3 - 5*t**3 + 10*t**4 + 10 = 0. What is t? -1, 1, 2 Let h = -435094/9 + 48401. Let t = h - 57. Find r such that -t*r**2 + 0*r + 0 - 2/9*r**4 + 4/9*r**3 = 0. 0, 1 Let a be (18/(-3))/((-2)/10). Suppose -31*z**3 + 2*z + a*z**3 - z = 0. What is z? -1, 0, 1 Let s be (-3600)/624*(-4)/(-6) + 4. Factor 2/13*f**5 - 4/13*f**4 - s*f + 0*f**3 + 4/13*f**2 + 0. 2*f*(f - 1)**3*(f + 1)/13 Let s = -20231/72 + 281. Let j(h) be the third derivative of -2*h**2 + 0*h**6 + 0*h**3 + 0 + 0*h - s*h**4 + 1/90*h**5 - 1/315*h**7 + 1/1008*h**8. Factor j(q). q*(q - 1)**3*(q + 1)/3 Let f = 3 - 1. Let v be (1/7)/(159/(-21) - -8). Determine z, given that v*z**3 - f*z**2 + 4*z - 8/3 = 0. 2 Let g be (-6)/(-3)*((-294)/(-48) + -5). Let 3/2*j - 1/4*j**2 - g = 0. What is j? 3 Suppose -2*f = -5*f + 30. Let k be (4/f)/(1/10). Factor -h**4 + 6*h**5 + 4*h**3 + 2*h**k - 11*h**4. 2*h**3*(h - 1)*(3*h - 2) Suppose 2*m = -4 + 10. Let x = 3 + m. Factor -2*t**2 - x*t - 4 - 2*t - 4. -2*(t + 2)**2 Let w(t) = -4*t**2 - 32*t + 12. Let i(j) = j - 1. Let r(c) = 20*i(c) + w(c). Factor r(x). -4*(x + 1)*(x + 2) Let n(c) be the third derivative of c**5/60 + 5*c**4/12 + 25*c**3/6 + 10*c**2. Factor n(z). (z + 5)**2 Let l(j) be the second derivative of j**5/5 - j**4/3 - 8*j. Determine i so that l(i) = 0. 0, 1 Let x = 3329/4 - 832. Suppose 0 = 3*c - 14 + 5. Factor 1/2*v**2 + 0 + 1/4*v**c + x*v. v*(v + 1)**2/4 Let b = 20/3 + -19/3. Determine q so that 2/3 + b*q - 1/3*q**2 = 0. -1, 2 Solve 12*n**2 - 5*n**5 + 12*n**4 - 44*n**3 + 4*n**3 + 8*n**2 + 13*n**4 = 0. 0, 1, 2 Let c(n) be the second derivative of -n**6/15 + 2*n**5/5 - 2*n**4/3 + 45*n. Factor c(a). -2*a**2*(a - 2)**2 Let b(z) = z**2 - 2*z - 4. Let t be b(4). Factor q**2 - 4*q - 7*q**2 + q**t + q**4. 2*q*(q - 2)*(q + 1)**2 Factor 2/3*n + 5/3*n**2 + 4/3*n**3 + 0 + 1/3*n**4. n*(n + 1)**2*(n + 2)/3 Let y(j) be the first derivative of -4/15*j**3 + 13/10*j**4 + 2/5*j - 13/10*j**2 + 2/25*j**5 - 13/30*j**6 + 3. Let y(r) = 0. Calculate r. -1, 2/13, 1 Let q be 13 - (2 - 0 - 4). Find o such that -23*o**2 - 7*o**2 + q*o**5 + 9*o**4 + 2*o**4 + 6 - 3*o + 13*o**4 - 12*o**3 = 0. -1, 2/5, 1 Let o(m) = -4*m**4 + 32*m**3 - 20*m**2 - 8. Let a(v) = 3*v**4 - 21*v**3 + 13*v**2 + 5. Let j(n) = -8*a(n) - 5*o(n). Determine c so that j(c) = 0. 0, 1 Let f be -1 + -3 + (1672/18)/22. Factor f + 0*n - 2/9*n**2. -2*(n - 1)*(n + 1)/9 Let r(v) be the first derivative of 2*v**6 - 4*v**5 - 7*v**4 + 28*v**3 - 32*v**2 + 16*v - 14. Suppose r(g) = 0. Calculate g. -2, 2/3, 1 Let d(i) = i**4. Suppose -3*m + 4*h + 3 = 0, -3*m + 1 = h - 2. Let t(s) = -3*s**3 + 4*s. Let y(x) = m*d(x) + t(x). Factor y(u). u*(u - 2)**2*(u + 1) Let t(w) be the first derivative of 0*w**2 + 1/6*w**3 + 0*w - 1. Suppose t(c) = 0. Calculate c. 0 Let 1/9*y**3 + 1/9*y**4 - 2/9*y**2 + 0*y + 0 = 0. What is y? -2, 0, 1 Suppose -4*g + 0*g = -236. Let s = -294/5 + g. Factor -s*k**4 + 1/5*k**3 + 1/5*k**2 - 1/5*k + 0. -k*(k - 1)**2*(k + 1)/5 Suppose -t = 9 - 13. Factor -35*p**3 + 0 - 98/3*p**t - 4/3*p - 12*p**2. -p*(2*p + 1)*(7*p + 2)**2/3 Let n = -48 - -51. Let l(j) be the third derivative of 1/48*j**4 + 0 - 1/240*j**6 + n*j**2 + 0*j + 0*j**5 + 0*j**3. Factor l(m). -m*(m - 1)*(m + 1)/2 Let r = 15 - 8. Let h(w) = 4*w**3 + 10*w**2 + 4*w - 2. Let x(a) = -13*a**3 - 31*a**2 - 11*a + 7. Let o(i) = r*h(i) + 2*x(i). Solve o(l) = 0. -3, -1, 0 Let a(u) = 21*u**3 + 11*u**2 - 16*u - 7. Let p(j) = 5*j**3 + 3*j**2 - 4*j - 2. Let i(h) = -2*a(h) + 9*p(h). Suppose i(q) = 0. Calculate q. -2, -2/3, 1 Let y(b) be the first derivative of -b**7/1960 - b**6/210 - b**5/56 - b**4/28 + 5*b**3/3 + 6. Let s(h) be the third derivative of y(h). Factor s(m). -3*(m + 1)**2*(m + 2)/7 Suppose -15 = -4*w - 11. Let m(f) be the first derivative of -1/6*f**2 + 1/9*f**3 - 1/3*f + 1/12*f**4 - w. Factor m(d). (d - 1)*(d + 1)**2/3 Let r = 8 + -4. Suppose 0*h**2 + r*h - 3*h - 6 + 2*h + 3*h**2 = 0. What is h? -2, 1 Suppose -3*k = 3*g - 18, -25 = -5*k - g + 5. Let z(w) be the first derivative of 0*w + 2/3*w**3 - 3/4*w**4 - 1/12*w**k - 1/4*w**2 + 2/5*w**5 - 2. Factor z(v). -v*(v - 1)**4/2 Let n(t) = t**2 + 8*t + 2. Let v be n(-7). Let d = v - -5. Factor 1/4*m**2 + 1/4*m**3 - 1/2*m + d. m*(m - 1)*(m + 2)/4 Let u be 2/4 + 36/24. Factor -5*t + 12*t**u + 2*t**3 - 6*t**3 - 16 + 5*t. -4*(t - 2)**2*(t + 1) Let w(b) be the first derivative of -b**4/14 + 2*b**3/21 + 2*b**2/7 - 43. Factor w(t). -2*t*(t - 2)*(t + 1)/7 Factor 1/4*j**2 + 7/4*j + 3. (j + 3)*(j + 4)/4 Suppose -4*l = 6*l - 20. Factor 3/5*p**l - 9/5*p + 6/5. 3*(p - 2)*(p - 1)/5 Let d(f) be the first derivative of -f**6/6 + 4*f**5/5 - 3*f**4/4 - 4*f**3/3 + 2*f**2 + 10. Factor d(l). -l*(l - 2)**2*(l - 1)*(l + 1) Let m(p) be the first derivative of -7*p**3/4 + 15*p**2/8 + 3*p/2 + 7. Find l, given that m(l) = 0. -2/7, 1 Factor 0 + 6/7*j**4 - 10/7*j**3 + 4/7*j**2 + 0*j. 2*j**2*(j - 1)*(3*j - 2)/7 Let f(k) be the third derivative of -2/315*k**7 + 0*k**6 - 1/504*k**8 + k**2 + 1/36*k**4 + 0*k + 1/45*k**5 + 0*k**3 + 0. Factor f(d). -2*d*(d - 1)*(d + 1)**3/3 Factor 9/7*u - 12/7*u**2 + 0 + 3/7*u**3. 3*u*(u - 3)*(u - 1)/7 Let l(q) = -q**5 - q**4 - q**2 - q - 1. Let r(h) = -8*h**4 - 4*h**3 + 16*h**2 + 12*h + 4. Let i(d) = -4*l(d) - r(d). Suppose i(s) = 0. Calculate s. -2, -1, 0, 1 Let w(t) be the first derivative of 1/2*t**2 + 0*t + 3/4*t**4 - 3 - t**3 - 1/5*t**5. Suppose w(u) = 0. Calculate u. 0, 1 Let d(y) = -2*y**5 + y**5 + 2*y**5. Let m(t) = 6*t**5 + 6*t**4 + 4*t**3. Let c(x) = 4*d(x) - m(x). Factor c(g). -2*g**3*(g + 1)*(g + 2) Let w(i) be the third derivative of i**8/5760 - i**7/1260 + i**6/1440 + i**5/360 - i**4/3 - 9*i**2. Let d(s) be the second derivative of w(s). Factor d(g). (g - 1)**2*(7*g + 2)/6 Suppose -12 = 3*r, l + 9 = -4*r - 7. What is x in -2/7*x**2 - 4/7*x**3 - 2/7*x**4 + l + 0*x = 0? -1, 0 Let g be -2*9/(-6) + -1. Factor 0*m**2 - 5*m**2 + 3*m + 3*m**g + 4*m**2 - m**3. -m*(m - 3)*(m + 1) Let u = -6/53 + 242/265. Let u*v**4 + 0*v - 2/5*v**3 + 2/5*v**5 - 4/5*v**2 + 0 = 0. What is v? -2, -1, 0, 1 Let a b
{ "pile_set_name": "DM Mathematics" }
32 = 2128*v for v. -8 Let d be -4 + 2 + (24 - (-2 - -4)). Suppose 2*u - d = -8*u. Let z(t) = t**2 - 2*t - 8. Let f be z(4). Solve 2*o = -f + u for o. 1 Let q = 4913 - 4756. Solve q*u = 147*u - 30 for u. -3 Suppose -w + 5*x = x - 44, 4*x + 12 = 0. Suppose 0 = -3*i + i + 40. Suppose 36*b = w*b + i. Solve c = b*c + 12 for c. -3 Suppose 5*a + 60 = -2*y, 2*y = -4*a + 7 - 65. Let u be (y/50)/(1/(-16)*2). Solve -5 = u*k - 21 for k. 4 Let n(s) = s**3 + 33*s**2 - 2*s + 97. Let q be n(-33). Suppose -48 = -171*p + q*p. Solve -3*t = -3 + p for t. -1 Suppose v + 2 = 0, 3*f - 8*f = 4*v - 217. Let s be (288/14)/(17/(3570/f)). Solve -91*q + 5 = -s*q for q. -1 Let d = 6645 + -6634. Solve d*r + 8 = 15*r for r. 2 Let k = 5366 + -5357. Solve k - 12 = 3*b for b. -1 Let v be ((-120)/90)/((-12)/27). Suppose 81 = 2*h + 25. Let j = h + -26. Solve -j*u - v = 1 for u. -2 Let i be ((-45)/4 - 0/(-8))*8. Let a = -36 - i. Let t be ((-30)/7)/(-1) - a/189. Solve 0 = -t*c - c + 15 for c. 3 Let n be (70/150 - (-48)/(-60))/(2/(-90)). Solve -2*i - 4*i = -n*i for i. 0 Let n = -112 - -82. Let k = n - -35. Suppose 19*g + k - 24 = 0. Solve q = 6 - g for q. 5 Suppose 0 = 12*a - 13 - 35. Suppose -u - 2*u + 15 = 0, -28 = -a*s - 4*u. Solve 2*p + 4 = -s for p. -3 Let y = -1244 + 1304. Solve 0 = -16*x + 28*x + y for x. -5 Suppose -865 = -5*h + 4*v, 5*h - 10*h = 5*v - 820. Solve h*n = 166*n + 15 for n. 5 Suppose 0*w = -7*w + 22*w - 810. Solve -w = 5*g + 4*g for g. -6 Let j(r) = -r**3 + r**2 - 6*r**2 + 5*r**2 + 5*r**2 + 7. Let d be j(3). Solve -6*i + i + d = 0 for i. 5 Suppose 4*i - 8*i + 9 = 5*a, 0 = a - i - 9. Suppose -a*x + 45 - 35 = 0. Solve x*h = -3*h - 25 for h. -5 Let q be (-2)/((-6 - -3) + 1). Let a(x) = 76*x + 915. Let s be a(-12). Solve -2*u = -s - q for u. 2 Let w be 8/((848/(-44))/4 + 5). Suppose t - 21 = 4*b, -2*b + 17 + w = 5*t. Solve -t = -2*f - 7 for f. 3 Suppose -3*y - 2*y = h - 41, -5*h = -5. Let j = 9 + -4. Let a be 34 + -1 + -2569 + 2548. Solve 0 = j*v - a - y for v. 4 Let s = 5 + -7. Suppose 0*u + u + 2 = 0, -2*i = -5*u - 10. Let x be s/(2/(-3)) + i. Solve -x + 1 = -v for v. 2 Let i be (46/(-4))/(28865/(-5020)). Suppose 3*d = 3*r + 7*d - 21, -2*r - 3*d = -13. Suppose -3*x - 5*a = -5*x - r, -a = -5*x + 7. Solve -i = 2*q + x for q. -2 Let o be (-40)/(-180) - (-8 - -5 - (-129)/(-27)). Suppose -2*x = -4*m, -x - 2*m = -6*m. Solve x = -5*u + u + o for u. 2 Let r = 608 + -606. Suppose -2*s = -4*u + 22, -7*u - r*s + 2 = -3*u. Solve -u*p = 2*p - 10 for p. 2 Let y = 1042 - 951. Solve 22*w + y + 19 = 0 for w. -5 Let h(y) = -y**3 + 14*y**2 + 37*y. Let s be h(17). Let t = -231 - s. Solve 2*q - t*q - 15 = 0 for q. -3 Let p(j) = -j + 12. Let x be p(9). Suppose 4*m + 7 = -3*r - 43, -48 = x*m - 3*r. Let c = 16 + m. Solve 3*g = g + c for g. 1 Let f(a) = a**2 + 35*a + 41. Let o be f(-34). Solve -18 = -o*i + 10 for i. 4 Let l be 2912/280*15/6. Solve -40*j = 54 + l for j. -2 Suppose 7*c = -0*c + 105. Suppose -4*y + 37 = -5*j, -17*j = -14*j + 15. Solve -y + c = -4*r for r. -3 Suppose -498 - 502 = -10*c. Let h = -98 + c. Solve -h*n + 0 = 4 for n. -2 Suppose 670*c = 749*c. Solve c = p + 9*p + 50 for p. -5 Let m be 48/88 - (-22505)/385. Solve 69*d + 20 = m*d for d. -2 Let w be 4/18 + (-2)/9. Suppose -5*u = -w*u - 10. Suppose -2139242*m + 2139261*m - 19 = 0. Solve -m - 7 = u*f for f. -4 Let g = -1462 - -812. Let j = 652 + g. Solve -11*t + 9 = -j*t for t. 1 Let r be 312/(-3900) - (-2154)/50. Solve r*t - 54*t = 0 for t. 0 Let r be 6/9 - 43/(-3). Let f be -6*(r/9 - 2). Let u be (3263/91 + -37)*(-1 + (-5)/2). Solve -6 - u = f*y for y. -5 Let s(f) = -2*f**2 + 4 + 2 - 1 - 1 + 7*f. Let j be s(4). Solve j = -5*z + 21 - 1 for z. 4 Suppose 4*r + 18 = 2*r - 4*b, -5*r = -b - 10. Suppose 2*z - s - 3 = -r, 3*s = 3*z. Solve i = 2*i + z for i. -2 Let c = -566 + 955. Suppose -c - 181 = -15*i. Solve i*b = 42*b + 16 for b. -4 Let l be ((-24)/12)/(2/41). Suppose -4*z - 149 = t + 4*t, -3*z - 129 = -2*t. Let q = l - z. Solve -2*s = -q*s for s. 0 Let u be ((-8)/12)/(4/(-30)). Suppose -u*m + b = -18, -18 = -4*m + b - 4. Suppose m*p = -p + p. Solve -4*g + 7 + 9 = p for g. 4 Let o(g) = 7*g**2 + g - 34. Let h be o(5). Solve h*u + 42 = 153*u for u. 6 Let a = 9 + -5. Let b = -39192 + 39196. Suppose a*o - 20 = 5*r, -16 = b*o - 6*o + r. Solve -o = -0*t - 5*t for t. 2 Suppose 0 = 4*w - 16*w + 48. Suppose 0 = -3*r - 5*b + 21 + 7, 0 = 5*r - w*b - 96. Solve 14 = f + r for f. -2 Let k be -18*(-8 + 4)/(-24) + 1*460. Solve 6*d + k = 439 for d. -3 Suppose s + 3*p + p = 45, 5*p - 45 = -s. Let g be 432/s - (3 + 34/(-10)). Solve -5*m + 30 - g = 0 for m. 4 Suppose -46*z + 20553 = 47*z. Solve 0 = 8*p + z - 221 for p. 0 Let v(s) = -14*s - 361. Let w be v(-26). Solve 10*q = 7 + w for q. 1 Let i(m) = -4*m**3 + m**2 - m - 2. Let w be i(-1). Suppose -w = 4*t - 40. Let q = -7 + t. Solve 4*d + 10 = -q for d. -3 Suppose -7*q + 170 = 436. Let k be q/(-8) - (-5)/(140/(-21)). Solve -5*o = -k + 14 for o. -2 Let q be (-4)/(16/6) - (-1)/2. Let s be (q + 2 - (-16)/(-4))*3. Let g = -9 - s. Solve -2*o + 0 + 8 = g for o. 4 Let u be 5*-1 - (-70)/(40/4). Suppose 4*h + u*w - 44 = 0, h - 6*h - 2*w = -54. Solve h*o = 17 + 13 for o. 3 Suppose 38 = 3*o + 386. Let h = o - -121. Solve -2*j + h = 3*j for j. 1 Suppose -d - 4 + 25 = 0. Suppose 4*r - 58 = 5*b, -4*b = -3*r - 153 + 197. Solve -18*o + d*o = -r for o. -4 Let j(l) = 2*l**3 - 2*l - 5. Let d be j(2). Let s(y) = y**3 - 10*y**2 + 5*y + 66. Let c be s(9). Solve -h = -d*h - c for h. -5 Suppose -39 - 168 = -23*g. Solve -g*s + 21*s = 72 for s. 6 Suppose 0 = 3*z - h - 378, -5*z + 7*h = 9*h - 641. Let y = 123 - z. Let k be 106/(-52)*y - 4/26. Solve 0 = k*b - 6*b + 10 for b. -5 Let g = -10294 - -10326. Solve -366*o = -358*o - g for o. 4 Suppose 0 = -5*k + 6 + 64. Suppose -12*b + 3*b = -45. Solve -b*p + 24 - k = 0 for p. 2 Suppose -38*w + 318 = -40*w. Let n = -144 - w. Let z be (-80)/n*((-27)/6 - -3). Solve -5*q - z = -3*q for q. -4 Let k = 0 + 11. Let l = 14 - k. Let q(h) = -9*h - 3. Let w be q(-2). Solve -l*f = -0*f + w for f. -5 Let m(i) = 48*i - 240. Let s be m(6). Solve -s = 14*b + 10*b for b. -2 Let r = 1402 + -1378. Solve 22*l = -2*l + r for l. 1 Let w = -30 + 6. Let b be (-50)/(-3)*(-36)/w. Suppose 5 = -5*k + b. Solve k*h + h - 15 = 0 for h. 3 Suppose s + d - 12 = -3*s, -3*d + 10 = -s. Let o(g) = 4 - 3*g - 9*g - 11*g**s + 0*g + g**3. Let u be o(12). Solve -5*j - u = -9*j for j. 1 Suppose -2491*l + 2494*l = 0. Solve -8*m + 36 - 44 = l for m. -1 Suppose -2*s - 116 = -122. Let j(r) = 2*r**2 + 8*r - 37. Let x be j(s). Solve -4*m + x = -3 for m. 2 Let t(s) = 3*s + 12*s**2 - 3*s**3 - 27*s**2 + 4*s**3 - 24*s**2 - 110. Let h be t(39). Solve 0 = -2*w - h + 11 for w. 2 Let p(u) = -u**3 + 4*u**2 + 7*u - 5. Let t be (1 - 1)/(11/11) - -5. Let s be p(t). Suppose -d - x = -2*d + 4, 0 = -s*x. Solve -d*j = -5*j - 2 for j. -2 Let h(r) = -4*r + 62. Let q be h(15). Suppose -5*g = -10, -q*l + 12*g = 11*g - 38. Solve -5*u + l = -u for u. 5 Let m be (-27)/(-7) - (-3)/21. Let g = -4 + m. Let q = g + 1. Solve -q - 3 = -2*a for a. 2 Let s = 24 - 22. Let i(m) = 43*m**2 - 25*m + 48*m**s - 89*m**2 - 4 - 1. Let l be i(13). Solve -l = 3*f - 20 for f. 4 Let j = 391 + 449. Suppose 2*s = 26*s - j. Solve -17*c - s = -10*c for c. -5 Let j be (1*-1)/1 - -3. Suppose 3*q = 5*p - 13 + 5, -q = 4*p - 20. Suppose -k + 4*i = -18, i + i + q = -j*k. Solve -k*g = g + 6 for g. -2 Let j(t) = 0*t**2 + t**2 + 2*t**2 - 28*t + 20*t - 6. Let n be j(4). Solve -2*a + 4*a - n = 0 for a. 5 Suppose -5*x - 478 - 657 = 0. Let y = x - -228. Solve y + 3 = -n for n. -4 Let b = 42398 + -42395. Suppose -20 = 2*o - 6*o. Suppose -l - 8 = -o*l. Solve -l*j + 9 = b for j. 3 Let r = -68 - -79. Suppose r*c = 20*c. Solve -5*n + 8*n - 15 = c for n. 5 Let h be (3/7)/((-6)/(-2247)) + 917/(-262). Solve -27 - h = 92*z for z. -2 Let g = -15599 - -15612. Solve -g*m - 17 = -30 for m. 1 Let h be (8/12*-9)/(3/(-2)). Suppose 2*i + 3*j = 13, -h*i - 7*j + 2*j = -23. Let q(d) = d + 15. Let v be q(-13). Solve i*g = -v*g - 20 for g. -5 Suppose -5*z + 5*b = -3*z - 37, 0 = -z + 3*b + 20. Let f be z/44 - (-1)/(-4). Suppose 0*o - 8 = -2*o. Solve f = d - o for d. 4 Let v = -23386 + 23386. Solve v = 22*j - 386 + 320 for j. 3 Let s(i) be the first derivative of i**4/4 - 3*i**3 + 11*i**2/2 - 15*i + 20.
{ "pile_set_name": "DM Mathematics" }
= o + -843. What is the remainder when k is divided by 7 + 1/(-2)*-2? 7 Suppose 163 = 3*l - 17*o + 12*o, -41 = -l + 5*o. Suppose -18*h + 17*h = -l. What is the remainder when 363 is divided by h? 58 Let t = -132 + 342. Suppose k - t + 33 = -5*i, -5*k + 165 = 5*i. Let l(m) = 13*m - 14. What is the remainder when l(12) is divided by i? 34 Let o = 26 + -26. Let g = -15 - -38. Calculate the remainder when 2 + (28 - o - 1) is divided by g. 6 Let u = 63 + -29. What is the remainder when 115*19/874*366/15 is divided by u? 27 Let f(m) = 565*m + 167. Let g be f(22). Suppose -g = -10*n - 2827. What is the remainder when n is divided by 49? 46 Let h be 8/(-3)*(-24)/16. Suppose -3*t + t + 54 = 4*o, -t + 21 = -h*o. Calculate the remainder when t is divided by 10. 5 Let t = 17291 + -17247. Calculate the remainder when 526 is divided by t. 42 Suppose 6*h - 5*h = t + 151, 5*t + 602 = 4*h. Calculate the remainder when h is divided by (-57)/(-9) - 4/((-60)/(-5)). 3 Suppose 2*q + 4*f - 3*f - 97 = 0, 4*q - 3*f = 169. Let h = q + -34. Suppose 2*t = 4*t - h. Calculate the remainder when t is divided by 2. 0 Let k(l) = -2 + 633*l - 1 - 42 - 639*l. Let d = -27 - -15. Calculate the remainder when 51 is divided by k(d). 24 Let h(u) = -5*u**2 - 7*u - 16. Let b(j) = 11*j**2 + 13*j + 33. Let q(v) = 6*b(v) + 13*h(v). What is the remainder when (3 + 18*4)*1 is divided by q(15)? 15 Suppose 2*n - 214 = -2*u, 3*u = -2*n + 8*u + 214. What is the remainder when n is divided by 46? 15 Let g(r) be the first derivative of -5*r**2/2 - 202*r - 125. What is the remainder when 52 is divided by g(-44)? 16 Let m(w) = 14*w**2 + 16*w - 40. Let d be m(3). Let f = d + -119. Calculate the remainder when 53 is divided by f. 8 Let b = 643 + -632. Suppose 9 = -4*t - b, -52 = -s + t. Calculate the remainder when s is divided by 13. 8 Let v(r) = -r**3 + 11*r**2 - 15*r + 52. Let n be v(10). Suppose c - 3*c = -2. Suppose 33 = n*h + c. What is the remainder when 59 is divided by h? 11 Let s = 290 + -484. Let p = 1597 + -1893. Let d = s - p. Calculate the remainder when d is divided by 21. 18 Suppose 175 = 3*g - 440. Suppose 0*r + 5*r - 5*t = g, 3*t = 2*r - 87. Suppose -6*m + 154 = -260. Calculate the remainder when m is divided by r. 33 Suppose 0 = 19*s - 527 + 90. Calculate the remainder when 1261 is divided by s. 19 Suppose -4*x + 272 - 16 = -4*n, x = 4*n + 79. Suppose 2*l + 0*f + 5*f - 30 = 0, 3*l = -4*f + 38. Calculate the remainder when x is divided by l. 9 What is the remainder when 87/2*689*(-36)/(-117) is divided by 45? 42 Let k(s) = 24*s + 1668. Calculate the remainder when 138 is divided by k(-64). 6 Suppose -13*k = -14*k. Suppose z - 655 + 613 = k. What is the remainder when z is divided by 11? 9 Let y = 11522 + -9102. What is the remainder when y is divided by 483? 5 Suppose 0 = 5*w - 2*w + 3*c + 12, 3*w + 6 = -5*c. Let n = w - -40. Calculate the remainder when n is divided by 9. 6 Let u(h) = 7*h**2 + 6*h - 15. Let m(k) = -6*k**2 - 8*k + 17. Let p(r) = 6*m(r) + 7*u(r). What is the remainder when p(-2) is divided by 39? 22 Let m = 6728 - 6594. What is the remainder when 1069 is divided by m? 131 Let p be (-2)/3 + (-740)/15 + 6. What is the remainder when 59 is divided by 3/(-6)*(12 + p)? 11 Let g be (-5100)/(-153)*(-78)/4. Calculate the remainder when 138 is divided by (6/(-5))/(39/g). 18 Suppose -5*i + 6*a - 2*a = 5572, 0 = 2*i + 5*a + 2209. What is the remainder when (1/(3/6))/((-16)/i) is divided by 28? 27 Suppose -3 = 3*l, -4*d = -0*d + 2*l + 2. Suppose d = -5*p - 98 + 28. Calculate the remainder when 5 is divided by (-4)/3*(p + 11). 1 Let y = -49 + 52. Suppose -y*x - 76 = -142. Calculate the remainder when 36 is divided by x. 14 Let r(g) = -60*g - 14. Let j be r(-2). Let h = j - -24. Calculate the remainder when h is divided by 11. 9 Let g(i) = -i**3 + 2*i**2 + 30. Suppose 0 = 50*y - 42*y. Suppose -456 = -4*q + 5*u, -3*q - 3*u + 131 = -2*q. What is the remainder when q is divided by g(y)? 29 Let w = 601 - 580. What is the remainder when 172 is divided by 105/(-14)*(-154)/w? 7 Let v = -17566 + 17825. Calculate the remainder when v is divided by 65. 64 Let p(t) = t**3 - 203*t + 348. Calculate the remainder when 1191 is divided by p(14). 191 Let r(m) = -6*m - 17. Suppose -9*p = -10*p - 2. Let k(v) = -5*v - 17. Let u(i) = p*k(i) + 3*r(i). What is the remainder when u(-4) is divided by 9? 6 Let y = 175 - 639. Let p = -338 - y. What is the remainder when p is divided by 32? 30 Let i(t) = -12*t - 2. Let q = -61 + 81. Suppose -44*a = -48*a - q. Calculate the remainder when i(a) is divided by 10. 8 Suppose -572 = -39*h + 271 - 180. What is the remainder when 6289 is divided by h? 16 Let p(w) = w**3 + 8*w**2 + 13*w + 29. Suppose -6*g + g = -10. Suppose -224 = -5*q + 4*u, g*q - q + 3*u = 41. What is the remainder when q is divided by p(-6)? 21 Suppose 0 = -2*h - 263 + 91. Let y = h + 477. Suppose -y = -5*t - s, s = 4*t + 50 - 370. What is the remainder when t is divided by 20? 19 Suppose s - 502 = 4*b, -484*b = -3*s - 483*b + 1495. Calculate the remainder when s is divided by 91. 43 Suppose 47*r - 3*w = 50*r - 3726, 0 = -3*r - w + 3732. Calculate the remainder when r is divided by 50. 45 Let a(z) = -76*z + 212. What is the remainder when a(1) is divided by 82? 54 Suppose 4*h - 153 = 5*m, 100*m = 3*h + 96*m - 116. What is the remainder when 1501 is divided by h? 29 Suppose -4*a + 0*a + 8 = 0. Suppose 2*s = -2*s + a*w + 48, -s + w = -14. Calculate the remainder when (-9 - (-3 + -4)) + 50 is divided by s. 8 Let w be 51*(-1)/(-8) + (-15)/40. Calculate the remainder when 7 is divided by -1 + ((72/6)/1 - w). 2 Suppose 3*c - 2*t - 1940 = 0, 32*t = -5*c + 30*t + 3228. What is the remainder when c is divided by 182? 100 Let w = 1833 - 1784. Let b be (3/1 - 6) + 7. What is the remainder when b/(-10) + 4362/30 is divided by w? 47 Let l(b) = -b. Suppose -2*v - 3*z + 47 = -2*z, 4*v - 2*z - 98 = 0. What is the remainder when l(-5) is divided by (v/21 + -2)/((-56)/196)? 2 Let v(l) = l**3 + l + 626. Let q = -205532 - -205595. Calculate the remainder when v(0) is divided by q. 59 Suppose -208*q = -3*v - 210*q + 32, 2*v + 2*q = 24. Calculate the remainder when 204 is divided by v. 4 Suppose 26 = 2*z + 2*n, 0*n + 4*n = 8. What is the remainder when 7005 is divided by z? 9 Let n(y) = 35*y - 2. Let c be n(1). Suppose 32*l - c*l + 5 = 0. Let m = 117 - 97. Calculate the remainder when m is divided by l. 0 Let g(c) = -c**3 + 5*c**2 + 44. Let x be g(0). Let s = x - 21. Calculate the remainder when 111 is divided by s. 19 Let v = 2810 + -164. Let u be 6/(-8) + v/(-56). Calculate the remainder when 9 is divided by ((-3)/9)/(4/u). 1 Calculate the remainder when (-14)/4*(-157 - 88/(-8)) is divided by 26. 17 Suppose 8 = 2*o - 4*y, 5*o + 5*y = o + 16. Let u be (-1012)/18 - ((-170)/(-45) - o). What is the remainder when 55 is divided by 3*(-11)/(132/u)? 13 Let o = -27285 - -31511. What is the remainder when o is divided by 146? 138 Suppose 27*k - 81*k - 47*k = -67771. What is the remainder when k is divided by 77? 55 Let g(y) = -6*y**2 + 55 - 145 + 48 - 7*y**2 + 27*y + 3*y**3 - 2*y**3. What is the remainder when 43 is divided by g(11)? 4 Suppose 12 = s + 2*v, -10*s + 4*v + 4 = -5*s. Let f be (s - 10/14) + 6/(-21). Suppose -f*q + 8*q = 45. What is the remainder when 79 is divided by q? 7 Suppose 2*a + 3*u - 54 = 0, -u - 96 = -3*a + 2*u. Let j(h) = 152*h - 82. Let o be j(2). Let n = 280 - o. What is the remainder when n is divided by a? 28 Let n(w) be the first derivative of -11*w**2 + 54*w - 38. Calculate the remainder when n(-13) is divided by 31. 30 Let b = -1 - -5. Let v(h) = 93*h**3 - h**2. Let u be v(1). Let q = u - 77. Calculate the remainder when q is divided by b. 3 Let x = 559 - 65. Calculate the remainder when x is divided by 125. 119 Let f(x) = 2*x - 3. Let p = 376 + -369. Suppose -p*q + 273 = -399. What is the remainder when q is divided by f(7)? 8 Let f(y) = 17*y + 32. Suppose 0 = -13*j + 41 + 180. What is the remainder when f(j) is divided by 17? 15 Suppose -10*x - 2321 = x. Let y = x - -233. What is the remainder when 55 is divided by y? 11 Let m = -11 - 14. Let t = -5 - -73. Let j = m + t. Calculate the remainder when j is divided by 22. 21 Let d(m) = 9*m. Let z(r) = 360*r + 0*r**2 - 357*r + r**2. Let b be
{ "pile_set_name": "DM Mathematics" }
Is j composite? False Suppose -44*u + 50*u - 5*n = 47227, -3*u + 4*n + 23621 = 0. Is u prime? True Let q(l) = l**3 + 8*l**2 - 9*l + 6. Let a be q(-9). Let y be (6/21)/(20/280). Suppose v - a*v = 4*c - 834, -y*v = c - 203. Is c prime? True Suppose 6*o - 63 = -15*o. Suppose 0 = -3*w + o*y + 669, 3*y + 4 = -w + 227. Is w a prime number? True Let m(g) = -12*g**2 - 11*g - 2028. Let r(n) = -5*n**2 - 5*n - 1013. Let d(l) = 2*m(l) - 5*r(l). Is d(0) composite? False Let j(w) = -w**3 - 9*w**2 + 11*w + 14. Let b be j(-10). Suppose 3*n = a - 1900, 3835 = 2*a - b*n + 5*n. Is a composite? True Let j = -17478 + 61156. Is j a composite number? True Let z(l) = l**2 - l. Let i be z(2). Let t be (-136)/(-44) + (-2)/22. Suppose i*h - 2581 = x, -h + x + 5167 = t*h. Is h composite? True Let x be (-2)/(2/(-3)) + -3. Suppose x = -f + 2*f - 7. Suppose 331 = 4*b + 3*h, 3*b + 355 = f*b - 5*h. Is b composite? True Let p(t) = -87*t - 143. Suppose 0 = -5*k - 20, 0 = -7*r + 4*r - 4*k - 28. Is p(r) a composite number? True Let j(p) be the first derivative of -p**3 + 61*p**2 - 30*p - 202. Is j(37) a prime number? False Let c(d) = d**2 + 3*d - 1. Let r be c(-4). Suppose q = -2*h + r*q + 1568, -q = -2*h + 1573. Is h prime? False Suppose 102 = 5*v + 3*g, v + 5*g - 51 = -13. Suppose -j = 5*j - v. Suppose -j*d = -15, 241 + 1999 = 4*w - 4*d. Is w a prime number? False Let r(z) = 381*z + 251. Let o be r(-7). Let h = o - -4169. Is h a prime number? True Let l = -3695 - -6454. Suppose -8*s + 3137 = -l. Is s a prime number? False Is 2*(-143)/26 - -20538 a prime number? False Suppose -43*z + 85*z - 90747945 = -93*z. Is z prime? False Let s be -2*254818/84 + 218/2289. Let j = s + 10056. Is j a composite number? False Let q = -5000 - -2396. Let r = 1579 - q. Is r a composite number? True Let p(h) = -737*h**3 + 63*h**2 - 15*h - 28. Is p(-9) a composite number? False Suppose 4*i - 4*r = 469972, 4*i = -r + 41105 + 428887. Is i a composite number? False Let q = 44638 - 19747. Is q a prime number? False Let c(o) = 409*o. Let n be 4/(-12)*(-2 - 1). Let d be (-2)/(2/(-2)) - n. Is c(d) a composite number? False Let v(o) = 474*o**2 - 19*o - 1. Suppose 5*b = -0*b - 4*d + 12, 5*d + 10 = 0. Is v(b) a composite number? False Suppose -f + 5 = 2. Let p(n) = -13*n**3 + 16*n**f - 8*n - 5 + 0*n**2 - 19*n**3 + 4*n**2. Is p(-4) a composite number? True Suppose 0 = -l - 5*s, 3*l + 48 = 6*l - s. Let o be 1620/25 - (-3)/l. Let a = 62 + o. Is a a prime number? True Suppose -2743 + 10447 = -8*s. Let a = s - -2222. Is a prime? True Suppose -4*f = -5*s + 55127, 6*f - 14730 = -4*s + 29390. Is s prime? True Let b = -118 + 177. Suppose -5*u = -5 - 5. Suppose -g + 309 = u*c, 4*g + b = 2*c - 275. Is c prime? True Suppose -2*r - 145792 = -2*l, -33*l = -28*l - 2*r - 364495. Is l composite? False Is 276998/18 + (-74)/(-333) a composite number? True Let p = -657627 + 1562348. Is p a prime number? True Let q(n) = 6370*n - 571. Is q(3) a prime number? True Suppose 0 = -3*w - 5*i + 279289, -4*i - 14122 = 3*w - 293415. Is w prime? True Let s = -633 - -643. Is s/4 + 11*(-14572)/(-8) a composite number? True Let g(t) = -11*t**2 - 38*t + 128. Let r(x) = -7*x**2 - 25*x + 85. Let v(d) = 5*g(d) - 8*r(d). Is v(-27) a prime number? True Let w = 48221 + -1372. Is w a prime number? False Let j = 544434 + 97447. Is j a composite number? False Let g = 117 + -109. Suppose g = -z - z. Is (2159 - z) + 0 + -2 a composite number? False Let h(y) = -316*y - 9. Let p be 5 - (1 - (0 + -5)). Is h(p) prime? True Suppose -r = 3*i - 6*r - 3678, 9 = 3*r. Let l = i - -2995. Suppose 2*x = l + 900. Is x a composite number? True Let w(c) = 1135*c**2 + 474*c - 27. Is w(-14) composite? False Suppose -2*c - 22 + 28 = 0. Suppose -4*p - 39260 = -c*y, -4*y + 52348 = -6*p + p. Suppose -2*l + 6526 = 4*t, 0 = -4*l + 7*t - 5*t + y. Is l composite? False Let h(t) = -t**3 - 24*t**2 + 105*t + 1479. Is h(-32) a prime number? True Let p(g) = 2*g**3 + 12*g**2 + 7*g - 15. Let b be p(-5). Suppose -5*q + 6*l - 8*l + 13597 = 0, 5*q - 2*l - 13613 = b. Is q composite? True Let j(k) = 1149*k**2 + 2*k - 12. Let w be j(2). Let m = w - -1445. Is m composite? True Suppose -7170 = -2*t + 9*v - 8*v, -10757 = -3*t + v. Is t a composite number? True Suppose 0 = -5*n + 25, 194*n - 190*n = -5*r + 697465. Is r a prime number? False Let t(p) = -10*p - 12. Let r = 140 + -100. Let k = r + -45. Is t(k) a prime number? False Let b(m) = 2*m**3 - 2*m**2 - 7*m - 2. Let g be (4/6)/((-3)/(-9)). Suppose 4*o + g*q - 9 = 5, 4*o + 5*q - 5 = 0. Is b(o) composite? False Suppose -3*n = 2*q - 390913, -21*n + 18*n + 390901 = -4*q. Is n prime? True Suppose p + 814200 = 4*q, -2*q + 253474 = -p - 153628. Is q a prime number? True Let d = 76924 + -40521. Is d composite? True Is (176661/(-486))/(2/(-44)) a composite number? True Let n(k) = k**3 - 4*k**2 - 5*k - 1. Let g(d) = d**2 + 5*d + 5. Let v be g(-5). Let h be n(v). Is (h - (-3452)/(-12))*(-30)/4 a prime number? False Let h = 62687 + -12330. Is h composite? True Let h(s) = -s**3 - s**2 + s. Let v be h(1). Let p be 2/4*(v - 5)*-1. Suppose -5*t + 326 = -p*t. Is t a prime number? True Let n(i) be the third derivative of 113*i**4/24 - 35*i**3/3 - 24*i**2. Is n(37) a prime number? True Let r(q) = -3*q + 9. Suppose 2 = -2*t + 2*h, -3*t = -0*t - 5*h + 1. Let y(g) = -4*g + 9. Let u(s) = t*y(s) + 3*r(s). Is u(-12) prime? False Suppose -4*a + 43245 = z, 4*z - 21*a - 172944 = -25*a. Is z a composite number? True Suppose 17*t - 482292 = 13*t - 5*d, -844121 = -7*t + 5*d. Is t composite? True Suppose 3*z = -l + 1721, 41*z - 43*z + 1147 = l. Suppose -z*k = -568*k - 9564. Is k prime? False Let j(q) be the first derivative of -255*q**2 + 131*q - 53. Is j(-17) a composite number? True Let l(g) = 2*g**3 - g**2. Let s be l(-3). Let i be (-85 - -77) + 503*2. Let m = i - s. Is m prime? True Let h = -21 - -25. Let j = -55 + 51. Is ((-4106)/h)/(2/j) a composite number? False Suppose -168167 = -786*y + 794*y - 785695. Is y prime? True Suppose -v + 2*u - 5 = -3, v - u + 1 = 0. Suppose v = 5*w - 1431 - 2314. Is w a prime number? False Suppose 65*x - 218*x + 84677875 = -28*x. Is x prime? True Let s be (-4)/(24/90)*(-2)/10. Suppose -2*g = 4*m - 3362, -106 = -s*m + 3*g + 2402. Is m a prime number? True Let x(p) be the second derivative of p**5/10 - 19*p**4/12 - 19*p**3/6 + 35*p**2/2 - 40*p. Is x(18) a prime number? False Let v(p) = p + 62. Let t be v(-60). Suppose -t*h + 5156 = -3*x, 7368 + 5527 = 5*h - 5*x. Is h prime? False Is 79202340/297 - 6/11 a composite number? True Let g(u) = 85*u - 18. Let d(h) = -1. Let k(c) = 4*d(c) + g(c). Is k(5) a composite number? True Suppose -21*g + 1345360 = 59*g. Is g a composite number? True Let j(t) be the second derivative of 242*t**3/3 + 3*t**2/2 - t + 8. Is j(4) composite? True Suppose 0 = -5*v + 322 + 918. Let i(m) = -324*m + 49. Let u be i(-2). Let j = u - v. Is j a prime number? True Let m(b) = 125*b + 113. Let l be m(21). Suppose -5*z = -2*s + l, -3*s + 3*z = 4*z - 4141. Is s prime? False Let k(j) = 9*j + 23 + j**2 - 2*j**3 - 5*j**2 + 5*j**3. Let q(m) = m - 1. Let d(y) = k(y) + 6*q(y). Is d(7) prime? False Suppose -6*n = -v - 2*n - 14, -4*n = 3*v + 122. Is 219/(-6)*v/1 a prime number? False Let h = 133677 + 28858. Is h a composite number? True Let b(c) = -13*c + 5. Let u be b(0). Is ((-6531)/(-12))/(u/20*1) composite? True Suppose -3*o = -2*l - 37156 + 292371, -2*l - o = -255235. Is l composite? True Let s(d) = 25*d + 245. Let h be s(-9). Is 6/h + 3658940/200 prime? False Let x(n) = 26*n - 15. Let r(m) be the second derivative of -77*m**3/6 + 22*m**2 + 10*m. Let k(f) = 4*r(f) + 11*x(f). Is k(-8) a prime number? False Let v(m) = 6*m**2 - 4*m - 19. Suppose 0*x - 5*x + 125 = 4*h, -5*x + h = -125. Is v(x) composite? False Is (-88)/(-13 - -2) - -1485243 a composite number? False Let k be (3 - 7) + 4*90 - 4. Suppose 5438 = 6*p - k. Is p composite? True Is (-1406040)/(-15) - (6 + -3) prime? False Let r = 50 - 47. Suppose 2*p - 1221 = -r*q, 6*p = p - 15. Is q a prime number? True Let k(z) = -158*z**2 - 18*z + 57. Let o be k(4). Let i = o - -3946. Is i a composite number? True Let b = -80 + 83. Suppose 2*y = 3*r - 3991, -3*r + r = b*y - 2678. Is r a composite number? True Let r be (27/6 - 2/(-4)) + -2. Let b be (-27)/(-18)*(-4)/r. Is ((-502)/4)/(1
{ "pile_set_name": "DM Mathematics" }
Is 4126878779 prime? True Is 15591734929 a prime number? True Is 146695746863 a prime number? False Is 4854105457 prime? False Is 4169744771 composite? False Is 372920693 a prime number? True Is 2185668419 a prime number? False Is 4955802317 composite? False Is 27997469867 composite? True Is 5423587769 prime? False Is 470186783059 a prime number? False Is 234932303 prime? False Is 14047461419 a prime number? False Is 659612251 a prime number? True Is 4221997627 prime? True Is 108524516539 a composite number? False Is 66876867363 a prime number? False Is 106816602337 composite? False Is 14459095811 a composite number? False Is 940944813 prime? False Is 2945384011 prime? False Is 164112517 a composite number? False Is 331794779 a composite number? False Is 3463136167 prime? False Is 127584067 a prime number? False Is 21872372485 a composite number? True Is 462373619 prime? False Is 117774751 composite? False Is 4573130123 a prime number? True Is 15615069521 a prime number? 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False Is 1297913 a composite number? True Is 389886113 a composite number? False Is 614226559 a composite number? False Is 1830026689 prime? False Is 3285749333 composite? True Is 11146305259 a composite number? False Is 11446811921 a composite number? True Is 79030978567 prime? False Is 92206179701 a prime number? True Is 52857787511 prime? False Is 7277822923 composite? True Is 17007279079 composite? True Is 20072542982 a composite number? True Is 2401450367 a prime number? False Is 47926907749 composite? True Is 16026182539 a composite number? True Is 36093798043 prime? True Is 17553997213 a composite number? False Is 156699583 a composite number? False Is 499861009 composite? True Is 68655379357 composite? False Is 4262192041 a prime number? True Is 67542875041 a composite number? False Is 36134247067 a composite number? True Is 13247362501 a prime number? True Is 6853805227 prime? False Is 716975737 a composite number? False Is 8639675423 prime? False Is 2101346791 prime? True Is 10597981623 composite? True Is 57802460369 prime? True Is 34430771 prime? False Is 111369767 a composite number? True Is 1075035151 prime? False Is 111968081 composite? False Is 18190983145 composite? True Is 17428200649 prime? False Is 201590083 a prime number? True Is 16441551419 a prime number? False Is 31348625993 composite? True Is 1321293119 a prime number? True Is 10299156755 composite? True Is 76329399997 a composite number? False Is 4491677621 a composite number? False Is 1774819661 prime? False Is 6513493087 composite? False Is 23000067113 composite? True Is 107032253 composite? True Is 8702357159 a prime number? True Is 2775737047 prime? False Is 2192215547 a prime number? True Is 195405311 composite? True Is 272765117 composite? True Is 218070989 prime? True Is 1488824861 prime? False Is 190294486133 prime? True Is 14721604082 composite? True Is 57040369 composite? True Is 142422127 a prime number? False Is 2006933353 prime? True Is 15030752007 a composite number? True Is 1340616259 prime? True Is 1771007845 a prime number? False Is 12808583 prime? True Is 3111066949 composite? True Is 1166565947 prime? True Is 25831678001 composite? False Is 2943989414 a composite number? True Is 303682032499 composite? False Is 487556777 a composite number? True Is 30480027631 composite? False Is 232049183 composite? True Is 9541510439 a composite number? True Is 20718259 a prime number? True Is 2963247401 a composite number? False Is 101529337333 prime? True Is 8542685974 composite? True Is 12391217 a composite number? False Is 7907727529 a composite number? True Is 329037551 a prime number? False Is 944950183 prime? False Is 622907651 a prime number? False Is 5479749413 prime? True Is 29396002777 composite? False Is 13228204741 composite? True Is 32909401897 a composite number? False Is 31830315667 a prime number? False Is 807123131 a prime number? True Is 4827928279 composite? True Is 424768037 composite? True Is 3535586357 a prime number? True Is 5960472037 prime? False Is 10050982559 a composite number? True Is 4029025579 composite? True Is 20380395361 a prime number? False Is 5977996261 composite? True Is 1349802563 composite? False Is 261314359 a prime number? True Is 130559077 prime? False Is 10172870102 prime? False Is 3992084803 composite? True Is 1600571317 a composite number? True Is 2128847081 prime? True Is 255664173749 a composite number? True Is 1345114739 a prime number? False Is 1581583147 prime? True Is 41886473093 a composite number? True Is 1421680483 a prime number? True Is 2405747398 a prime number? False Is 768149633 composite? False Is 1744474201 a prime number? True Is 10024108813 a composite number? True Is 8951036309 a composite number? False Is 2934232745 composite? True Is 26175771799 prime? True Is 1803307381 a prime number? False Is 2245080199 composite? True Is 341531759 a composite number? True Is 47183868109 prime? False Is 2967486793 prime? True Is 46219471171 a prime number? True Is 5537436313 a prime number? True Is 414560281 composite? False Is 1566692223 a prime number? False Is 47453973103 a composite number? True Is 1202538533 a prime number? False Is 397788109 a prime number? False Is 2389905527 a prime number? True Is 87608057 prime? True Is 351603427 a composite number? True Is 3799547 a prime number? True Is 9694265381 a prime number? True Is 7309360759 prime? True Is 52391976163 prime? True Is 700802574179 a prime number? True Is 4005613 a prime number? True Is 456326833 a composite number? False Is 8548064639 composite? False Is 57782233007 a composite number? False Is 10800129149 a composite number? True Is 4783158011 prime? True Is 61039078169 prime? True Is 2128638887 a composite number? False Is 1249274483 a prime number? True Is 23721420073 composite? True Is 266879647 composite? False Is 641090487 prime? False Is 4370919367 a composite number? False Is 13607251753 a composite number? False Is 21200048227 composite? True Is 87389313097 a composite number? False Is 1616498053 composite? False Is 4538416471 a composite number? False Is 11183150791 composite? False Is 8247512737 a prime number? True Is 1332399963 prime? False Is 86151265019 a prime number? False Is 28948068371 a prime number? False Is 2797783187 composite? True
{ "pile_set_name": "DM Mathematics" }
w**2 + 7*w - 2. Let h be z(7). Put 6, 4, h in increasing order. h, 4, 6 Let r = 3.2 - 2.1. Let z = r - 0.6. Let m = 1 + 0. Sort -0.3, z, m in descending order. m, z, -0.3 Let b(g) = g**3 - 4*g**2 + 3*g. Let l be b(3). Let p be (l + (2 - 0))/(-1). Suppose 0 = -5*t + w - 4, -3*t + 2*w = 3 - 2. Sort 3, t, p. p, t, 3 Let k = 144 - 142.06. Let d = k + 0.06. Let b = 1/13 - -49/39. Sort 1/5, d, b in ascending order. 1/5, b, d Let g be 2/(-11) + (-92)/(-22). Sort 0.2, g, -3, 0 in descending order. g, 0.2, 0, -3 Let u(l) = -5*l + 31. Let n be u(8). Sort -2/9, n, 5. n, -2/9, 5 Let c be 0 + 1*-2 + 5. Suppose 10 = -5*u + f, -c*u - 2*f - 6 = 3*f. Let o be (4 - u)*(-2)/(-4). Sort 5, -5, o in increasing order. -5, o, 5 Let w = -86459/6 - -14377. Let b = -33 - w. Let r = 25 - 24.7. Put r, 2/15, b in decreasing order. r, 2/15, b Suppose 0*l = -4*l. Let j = 16/7 + -34/21. Sort -0.4, l, j in decreasing order. j, l, -0.4 Let b = -2.6 - -0.6. Sort b, 1/8, -2/5 in descending order. 1/8, -2/5, b Suppose 13*w = 4*w. Sort 3, w, -4, 2 in increasing order. -4, w, 2, 3 Let i = 104.1 + -104. Put i, -1, 0.5, 2/7 in decreasing order. 0.5, 2/7, i, -1 Let k(i) = i**2 + 5*i + 2. Let b be k(-5). Suppose 7 = -3*j + w, -3*w + 13 = -5*j - 0. Let x = 7 + j. Put b, x, 0 in increasing order. 0, b, x Let w be (-2*9/18)/(3 + 1). Sort w, -1, 1/4, 1.4 in ascending order. -1, w, 1/4, 1.4 Let c = -22 - -17. Sort 2, c, -22 in descending order. 2, c, -22 Let l = -5 - -1. Let g be 18/(-12)*l/3. Sort -3, g, 1 in increasing order. -3, 1, g Suppose -f = 18 - 19. Sort -5, -3, -1, f in ascending order. -5, -3, -1, f Let k = 0.5 + -4.5. Let g = 80 - 79.8. Sort k, g, 5 in ascending order. k, g, 5 Suppose -n + 25 = 4*n. Let h = -4.92 - -4. Let j = h + -0.08. Sort j, n, 0 in ascending order. j, 0, n Suppose -3*f - 4 = -7. Sort f, 0, -5. -5, 0, f Suppose 5*x = 0, 2*c + x - 2 = -0. Let f be 22*c/(-10) + 2. Let o = 6.4 - 6. Put f, -2/7, o in increasing order. -2/7, f, o Let r = -1206/7 + 172. Put 4, -0.1, r, 9 in increasing order. r, -0.1, 4, 9 Let d = -0.4 + 0.3. Let h be (63/14 - 5)*(-2)/(-1). Put h, -0.4, d in decreasing order. d, -0.4, h Suppose -5*h + 5*b - 45 = 0, -5*h + 0*h - 39 = b. Let y = 3 + h. Suppose -3*q - 5*r - 12 = 0, r = -3*q - 8 - 4. Put 0, q, y in decreasing order. 0, q, y Let o = -45 + 46. Let n = 0.03 + 1.97. Sort o, 4/7, n. 4/7, o, n Let t = 51 - 47. Suppose 0 = 2*y + 3*y + 60. Let q = -17 - y. Sort q, t, -1 in descending order. t, -1, q Let f = 0.2 - -0.3. Let o be 0*((-5)/2 + 3). Let v be (-1 + o)/((-12)/(-8)). Sort f, 0, v. v, 0, f Let t(h) = h**2 - 10*h + 17. Let l be t(8). Put l, 2, 5 in decreasing order. 5, 2, l Let i = -0.37 + 0.07. Let b = -5.1 - -5.2. Sort 0, b, i in ascending order. i, 0, b Let p(o) = o**2 - 16*o + 4. Let j be p(16). Suppose 2*u + 18 = -0*u. Sort -3, j, u in ascending order. u, -3, j Let u = 0.11 + 0.14. Let p = u + 0.15. Put 0.5, 0.2, p in ascending order. 0.2, p, 0.5 Let k be 85/130 - 2/4. Put k, 0.2, -2, 3 in descending order. 3, 0.2, k, -2 Suppose -4*m + 54 = 34. Put -5, 0, 1, m in descending order. m, 1, 0, -5 Suppose 0 = -2*w - 3*w + 10. Put 5, -4, w in descending order. 5, w, -4 Let w(h) = -3*h + 1. Let v be w(-1). Suppose v*d = -d. Sort 4, d, 1 in descending order. 4, 1, d Let m = 18 - 21. Put m, 0.3, 0.1 in descending order. 0.3, 0.1, m Suppose 5*g = -5*z, 3*z = -4*g + 3*g + 2. Let w = -1 - -3. Put -3, z, w in descending order. w, z, -3 Suppose 5*n - 3*p + 0*p = -17, 5*n + 5*p - 15 = 0. Suppose -12*v - 21 = 15. Sort n, 3, v in descending order. 3, n, v Let a = -5 + 5. Let c = 1 + -3. Let w be (-27)/7 + 2 - c. Put 0.5, w, a in ascending order. a, w, 0.5 Let o = -15 + 15.3. Let d = -0.1 + 1.1. Sort o, -2, d in decreasing order. d, o, -2 Let c(u) = -u**2 - 8*u - 11. Let s be c(-6). Sort s, 10, 2. s, 2, 10 Suppose 2*b - 3*b - 1 = 0. Let z be 9/6*2/(-3) + 1. Suppose 4*p - 5*p = 5. Sort b, z, p in increasing order. p, b, z Let f be (-2 - -23)*8/(-6). Let w be ((-70)/30)/((-2)/(-6)). Let z be w/f - 9/4. Put 2/5, 3/4, z in decreasing order. 3/4, 2/5, z Let r = -19.073 + 0.073. Sort 3, 1, -1/2, r. r, -1/2, 1, 3 Let r = -143 + 148. Let d be 2/4 + (-10)/4. Put r, d, 1 in descending order. r, 1, d Let k = 4 + -4. Let t(i) be the second derivative of -i**4/2 + i**2/2 + 3*i. Let m be t(-1). Put k, -2, m in decreasing order. k, -2, m Suppose -3*u - 9 = -0*u. Let l = u - -3. Let g = -3 + 4. Put g, 0.3, l in decreasing order. g, 0.3, l Let z(k) = -k**3 + 17*k**2 - 15*k - 32. Let o be z(16). Sort o, 2, 3 in descending order. 3, 2, o Suppose 4*x - 8 = 3*v - 0, -2*x + 4 = 4*v. Suppose -a = -x*a + 3. Suppose -a - 10 = 2*r + b, 2*r + 19 = -3*b. Sort -3, r, -4/3 in increasing order. r, -3, -4/3 Let t(k) = k + 11. Let n be t(-10). Let m be (1 - -1)*n/(-6). Let v be (6/4)/((-6)/8). Sort m, 5, v in descending order. 5, m, v Let r = -590/7 - -84. Sort r, -1, -4, 4 in ascending order. -4, -1, r, 4 Let g = -8 - -14. Let n = -10 + g. Let y = 0 + n. Put -5, y, -3 in ascending order. -5, y, -3 Let a = -71 - -71. Put a, 3, -1 in ascending order. -1, a, 3 Suppose 0 = 2*n + 7 - 1. Let j be 2 + (-15)/(-6) - 4. Sort 0, n, j. n, 0, j Let k be 0/(3*(-2)/(-3)). Let v be (-3 - -2 - 0)/1. Put k, 2, v in decreasing order. 2, k, v Let l(r) = r - 1. Let w be l(-1). Let a(v) = 8*v - 16. Let t be a(2). Sort 2, t, w in ascending order. w, t, 2 Let p = 2 + -2. Let c = -0.2 - p. Let d be ((-27)/(-63))/(3/(-2)). Sort c, d, -2. -2, d, c Suppose -i - 2*y = -1, 2*y - 8 = 2*i - 4*i. Let f(q) = q**2 - 8*q + 8. Let j be f(i). Suppose 6 = 2*d + 16. Put -1, d, j in descending order. j, -1, d Let c(f) = -f - 7. Let j be c(-7). Let o(i) = i**2 - i + 4. Let y be o(0). Suppose 0 = -5*z - 24 + 9. Sort y, j, z in ascending order. z, j, y Let w(d) = 2*d**2 - 6*d + 1. Let t be w(4). Suppose 3*v - 2*y = 0, 5*v + 4*y + t = -13. Let j be 2 - 2 - (v - 0). Sort -2, -1, j. -2, -1, j Suppose 3*o - 3 = -0*c + 3*c, -3*c = 3*o + 27. Sort 0, 4, o in decreasing order. 4, 0, o Suppose 2 = c - 1. Let w be 26/6 - c/9. Put 3, -1, w in decreasing order. w, 3, -1 Suppose 3*j + 0*j = 0. Let n = 1/5 + j. Let c = 2.4 + -2. Put 4, n, c in decreasing order. 4, c, n Let h(p) = 9*p**2 + 11*p - 5. Let l(q) = -3*q**2 - 4*q + 2. Let t(n) = 3*h(n) + 8*l(n). Let w be t(-1). Put w, 0.5, -3 in descending order. w, 0.5, -3 Let d = 8 - -2. Suppose 4*u - 6*u = -d. Put -3, u, 0 in descending order. u, 0, -3 Let x be 1/(1*1/5). Suppose x*k + 2*o = -o + 27, 5*k - 23 = -2*o. Let f = k + -3. Sort f, -1, 3. -1, f, 3 Let w(i) = -i + 3. Let x be w(-2). Put -2, 1, x in increasing order. -2, 1, x Let c = 4.06 + -2.13. Let x = -0.07 - c. Let j = -1.7 - x. Sort -2, 0, j in ascending order. -2, 0, j Let z = 6 + -4. Let o be 2/4 + (-5)/z. Let g be 6/((-1)/((-12)/(-18))). Sort o, -5, g. -5, g, o Suppose 12 = -2*y + 14. Sort y, 3, 8 in ascending order. y, 3, 8 Suppose -3*a + 15 = 2*a. Suppose o = 6 - 1. Suppose 0 = 2*r - o*y - 5, 0 = 2*r - r - y - 1. Sort r, -1, a in decreasing order. a, r, -1 Let i(r) = 2*r**2 - 2*r**2 - 8*r + r**2 + 4. Let v be i(7). Sort v, 1, 2. v, 1, 2 Let c be (-7)/(-2)*24/42. Sort -7, 4, c in decreasing order. 4, c, -7 Let z = -2/17 + 23/51. Let f = -913/15 - -61. Sort z, f, 3 in increasing order. f, z, 3 Let x = 4 - 3.92. Let z = x - -1.92. Let q = z - 3. Sort 2/7, -3/7, q in descending order. 2/7, -3/7, q Let x(f) = 2*f + 6. Let p be x(-5). Sort -2, -1, p, 4 in descending order. 4, -1, -2, p Let g = 0.07 + -4.07. Let w = -4.2 - g. Let f(r) = -r**3 + 3*r**2 + 1. Let x be f(3). Put -2/17, w, x in decreasing order. x, -2/17, w Suppose -x = -0 - 2. Put -8, x, 0 in ascending order. -8, 0, x Let k = -19 + 19. Sort -1/4, k, -1 in increasing order. -1, -1/4, k Let q = 23 - 39. Let r = 12 + q. Put 4, r, 0 in ascending order. r, 0, 4 Suppose -i + 650 = 3*i - 5*t, 5*t = i - 155. Let m be (-2)/(-11) - 96/i. Suppose -5*h - 5*f + 10 = 0, 7 = -2*h - 2*h - f. Put h, m, 0.4 in decreasing order. 0.4, m, h Suppose -q = -4 + 1. Let o be 2/2 + 2 + 0. Let u = 7 - o. Sort -5, u, q. -5, q, u Let n = 25 - 18. Let i = n + -11. Let a be (-13)/(-12) + (-1)/3. Put i, -5, a in descending order. a, i, -5 Let x be (9/6)/((-3)/(-8)). Let m = 1 - 6. Sort 3, m, x in ascending order. m, 3, x Let p(l) = -l + 22. Let n be p(9). Put 2, -4, n in decreasing order. n, 2, -4
{ "pile_set_name": "DM Mathematics" }
? 2 Calculate (2 - -4 - -2) + -4 + 0. 4 What is 3 + (-11 - (-1 - 7))? 0 Evaluate 5 - ((9 - 3) + -4). 3 What is the value of 4 + 0 + (-5 + -1 - -6)? 4 Evaluate (0 - (1 - 7)) + -5 + 1. 2 (5 - (16 - (7 - 5))) + 4 -5 What is 6 - 7 - (-3 + (0 - -1))? 1 What is -22 + 23 + -4 + 0 + 0? -3 What is (-1 - -13 - (4 + 0)) + -6? 2 Evaluate -4 - ((13 - 8) + 0). -9 Calculate -6 + 8 - (0 + 3 + 1). -2 10 - (10 + -10 - 0) 10 0 + 5 + -4 + 3 - 1 3 (0 - (1 + 0)) + -34 + 33 -2 13 - -12 - 8 - 10 7 Evaluate 13 + (5 + 3 - 17). 4 What is (1 - -8) + (-4 - 0)? 5 12 + -17 - (-6 - -2) -1 What is 10 - 9 - -5 - -1? 7 What is 7 - -2 - 4 - 3? 2 What is (0 - (-6 + 5)) + (0 - -1)? 2 -3 - (4 + -1 - -1 - 7) 0 0 + 5 + -13 + (-1 - -5) -4 (0 - 10 - 1) + -149 + 152 -8 Evaluate 3 + 3 + (2 - 2 - 2). 4 What is -7 + 5 + 1 + (1 - 3)? -3 -104 + 106 - ((-1 - -10) + 0) -7 Calculate -7 - -10 - (1 + 0) - -4. 6 Evaluate -7 + 1 + -44 + 57. 7 What is the value of -1 - (-1 + 4 - -1)? -5 -4 + -3 + (0 - -7) - 5 -5 (4 - 6 - -7) + 1 6 6 + -10 + 9 - (13 + -1) -7 Calculate -19 + (-5 + 13 - -6). -5 Evaluate -7 + -2 + 67 + -67. -9 Calculate 20 + -21 + (3 - (2 + -1)). 1 Calculate 6 + 5 + -19 + 1. -7 Evaluate -1 - -2 - (-12 + 9). 4 3 - (2 + (-3 - (-1 - 4))) -1 Evaluate 2 - (11 - (0 + (2 - -4))). -3 What is -4 + 8 - -1 - 3? 2 What is the value of -11 + (-2 - -2 - -8)? -3 Evaluate 5 + 5 + -4 - 8. -2 Evaluate 0 + -4 + 2 + 2. 0 What is the value of 8 + -6 + -1 - (0 - 1)? 2 What is the value of 1 + 0 + -12 + (-6 - -25)? 8 Calculate 11 + -17 + -1 - -14. 7 What is 2 + -6 + 13 + -9? 0 -8 - 0 - 1 - (-1 + -3) -5 What is the value of 5 + 2 - (-1 - -14)? -6 Evaluate (4 - 0 - (11 - 5)) + 1. -1 What is (3 - 2) + -2 + 2? 1 -8 + 3 - (3 + 1 + -8) -1 -4 + 6 + 3 + -6 -1 What is (-9 - (3 + (-1 - 6))) + -3? -8 Evaluate 1 - 0 - (-22 - -17). 6 Evaluate -9 - -1 - (-1 - (-6 - -5)). -8 Evaluate (0 - 1) + (0 - -2). 1 Evaluate 2 - (12 + -21 + 11). 0 Calculate 15 - 0 - 16 - -4. 3 8 - (7 + 5) - -12 8 What is 0 - (7 - (-2 - -8))? -1 Calculate -1 + (-4 - (-3 + 1)) + -2. -5 What is the value of (-2 - 2) + 6 + 0? 2 Calculate 0 + 0 - (-6 + 2 + 2). 2 What is the value of 6 + (-2 + 1 - (5 + -3))? 3 Calculate (-3 - -3) + -1 + (4 - 5). -2 Calculate 4 + -8 + 3 - (-3 + 1). 1 What is the value of -9 + (-11 + 16 - 0)? -4 What is the value of -11 + 2 - (-11 + -3 - -8)? -3 What is the value of -2 - (-5 - -1 - (-2 + -1))? -1 -4 + -4 + 3 - (-31 - -24) 2 What is the value of (5 - (3 - 0)) + (3 - 9)? -4 Evaluate -2 + (0 + 6 - (0 - -3)). 1 1 - (2 + -6 + 3 + 2) 0 What is the value of -7 + 6 + 5 + (-5 - 2)? -3 Evaluate -6 + (-10 - -23) - 7. 0 Evaluate -2 - 2 - (-75 - -65). 6 Calculate 0 - 5 - (18 + -27). 4 2 - (1 + -5 + 4 - 2) 4 Calculate 8 - (-4 + (20 - (3 - 3))). -8 -2 - 0 - (0 + -1 + 1) -2 What is (8 + 0 - (61 - 60)) + 0? 7 Calculate -8 + -7 + 19 - -3. 7 4 - (-3 + (3 - 0) + 8) -4 (8 - 8) + 2 + 1 - -5 8 What is the value of 4 - 0 - (-14 + 15)? 3 Evaluate 3 + (52 - 59) + (0 - 3). -7 Evaluate 10 - (0 - (-13 + 10)). 7 -4 - (-4 + 5 + 1 + -2) -4 What is the value of 24 + -10 - (6 - -1)? 7 -2 + 0 + 3 - 4 -3 -6 - 0 - (-6 - -1) -1 Calculate 14 + (-6 - 4) + -1. 3 Calculate -48 + 49 - (-4 + 13 - 4). -4 Evaluate 7 + 1 + -2 + -1 + -11. -6 What is 22 + -14 - (12 + -3)? -1 Calculate (2 + -4 + -1 - 0) + -2. -5 What is the value of (-21 - -11 - -8) + 1 + 4? 3 Calculate 4 + -1 - (-3 - (-1 + 1)). 6 What is (-1 - -16) + -128 + 115? 2 Calculate (20 - 32) + 9 + -1. -4 Evaluate 12 + 15 + -26 + -2 + -2. -3 What is 3 + (-3 - 8 - (8 + -11))? -5 What is (-9 - -7) + 0 + 9 - 6? 1 (-2 - 8) + -32 + 37 -5 What is the value of -7 - (-13 - (2 - -5) - -6)? 7 What is -8 - (-9 + 3 - (7 + -10))? -5 5 + (0 - 1) + 9 + -9 4 What is the value of 4 + 0 + -4 + 9 - 6? 3 Calculate 3 + -2 + (2 - 1). 2 -7 - (-7 - (-8 + 13)) 5 What is the value of (5 - 2) + -8 + 5? 0 Evaluate -2 - (-2 + 4 + -1 + 0). -3 What is the value of (-3 + 9 - 2) + 0 - -2? 6 0 + -1 + (-8 - -11) - 5 -3 Evaluate -6 - (13 + -10) - -12. 3 What is the value of 3 - 8 - (-4 + 5 - 2)? -4 Calculate 4 + 1 + -1 + 0 - 8. -4 What is the value of -3 + (3 + -5 - -3) + -2? -4 What is (0 - (0 + 1)) + -40 + 38? -3 Evaluate -9 + (19 - 0 - 12). -2 Evaluate -2 + (-18 + 5 - -8). -7 Evaluate 12 - -1 - (-5 - (12 + -22)). 8 What is the value of -68 + 63 - (-2 - (0 - -1))? -2 What is 0 + -11 + (-3 - (-7 + 0))? -7 What is 7 + 3 + (-1 - -1) + -7? 3 What is the value of -7 + 1 + (1 - 1)? -6 What is 2 + 0 - (0 - (6 - 5))? 3 Calculate (2 + 0 - 3) + (3 - 4). -2 Calculate -4 + 1 + 6 + -3 + -5. -5 (-1 - (0 - -5)) + (30 - 22) 2 What is the value of 4 + 2 + 1 + -3? 4 7 + (-2 + -1 - (-13 - -10)) 7 63 + -72 + 5 + 0 -4 Calculate (-4 - -1) + 8 - (-13 + 23). -5 What is the value of -3 - (4 + 0) - (-40 - -36)? -3 What is 1 - (0 + -1) - -6 - 4? 4 Evaluate 0 + 2 + -1 + (-30 - -22). -7 Evaluate 1 + (-8 + 1 - (23 + -24)). -5 Evaluate (0 - 1) + 22 + -22. -1 Calculate 3 + -5 + -7 + 7. -2 Calculate -14 - ((-40 - -11) + 4). 11 Calculate -15 + (4 - 2) + 9. -4 What is the value of -3 + (1 + -1 - -5)? 2 Evaluate -3 - (3 - (8 + -5 + 3)). 0 Evaluate -1 + 2 + -2 + -1 + 3. 1 Calculate -5 + 10 + (-6 - (-2 - 2)). 3 What is 2 + 1 + (5 + -6 - -2)? 4 What is the value of 4 + -1 - (0 + 5 - 5)? 3 Evaluate -5 + (-3 + 11 - 7). -4 Calculate -1 - -5 - (-92 + 95). 1 Calculate -7 + 11 + 1 - 0. 5 Evaluate (-2 - -1) + (0 + -1 - 2). -4 What is 3 - 4 - (-8 - (1 - 3))? 5 What is the value of 1 + 5 + (11 - 24) - -1? -6 Evaluate (14 + -4 - 2) + -1. 7 -2 + (2 + 2 - (0 - -2)) 0 What is the value of -1 + 2 + 0 - (-2 + 2)? 1 Calculate 3 + (-9 - -15 - 5). 4 What is (0 - -9) + (-52 - -37)? -6 Calculate (24 - 8) + -7 - 9. 0 What is 12 - 18 - ((-2 - -3) + -2)? -5 Calculate 1 + -4 - (-23 - -17). 3 What is the value of 5 + -5 - 2 - -3? 1 Evaluate 1 + -1 + 1 - 3. -2 (9 - 9) + -4 - (-9 + 0) 5 Calculate -3 + 2 + -1 + -2 + -1. -5 What is -4 + 3 + -3 + -1? -5 Calculate (6 - 2 - 4) + -4. -4 -1 - 1 - (9 + (-7 - 4)) 0 What is the value of (-5 - -1 - 5) + 15? 6 Calculate (18 - 13) + -1 + (-1 - -2). 5 What is the value of -3 + (0 - ((2 - 5) + 5))? -5 What is -8 + 24 - (2 + 5) - 2? 7 Calculate -4 + 3 + 7 + 1 - 2. 5 -41 + 43 + 1 + -4 + 2 1 What is the value of (-2 - -3) + -4 + 2 - 3? -4 What is the value of 4 + -1 + 20 + -13? 10 What is 7 - (4 + 5 + (-2 - 3))? 3 Calculate 10 + (-26 - -9 - -8). 1 What is -5 + (-3 - (-2 + -3))? -3 What is 7 + (9 + -10 - 4)? 2 -8 - ((4 - 6) + -2) -4 Calculate 2 + -4 + (0 - 2) - -4. 0 0 + -3 - (-11 - -5) - 0 3 0 + -9 - -26 - 9 8 What is -5 + -5 + -6 + 5 + 3? -8 Evaluate 4 - (-6 + 5 - -5). 0 What is -3 + -1 + 0 + 8? 4 What is the value of (3 - 2) + -4 + (8 - 0)? 5 Calculate (4 - -1) + -4 + -2. -1 What is the value of 3 + 2 + (-1 - 5)? -1 What is the value of (7 - -7) + -14 + 2 + -1? 1 Calculate (-1 - (-4 + 1)) + (51 - 57). -4 What is the value of 2 + 1 - (-1 - (-12 - -12))? 4 What is 15 + (-4 - 1) + 28 + -30? 8 2 + (2 - (5 - -1)) -2 What is the value of 4 + (-1 + 2 - 0)? 5 Calculate 1 - ((0 - -1) + 4 + -3). -1 Calculate -5 - (3 - -3 - 7). -4 What is -1 - -2 - (13 + -14)? 2 What is the value of 3 - (4 - 3) - (-2 + 3)? 1 Calculate 5 - 6 - (-4 + 2 + 4). -3 -23 + 14 - -9 - (-1 - 0) 1 9 + (0 - 1) + -3 5 Evaluate (0 - -6) + (3 - 3) - 11. -5 -3 + (-6 - ((-4 - -8) + -7)) -6 Calculate -13 + (12 - -2 - 8). -7 What is -24 + 23 + 1 + 3 - 3? 0 -1 - -2 - -1 - (1 - -4) -3 What is -9 - -1 - (2 - 5)? -5 Calculate -15 - -13 - (1 - -1). -4 Calculate 6 + -10 + -1 + 6 + 3. 4 Evaluate -1 - 0 - (1 + -3). 1 What is 0 + -1 + 2 + 4 - 5? 0 1 + (-2 - 5) - (-6 - -2) -2 Calculate -1 + (13 - 5) + -2. 5 What is the value of 0 + 1 - (2 + -2 + 2)? -1 What is 2 + (-4 - -8) + -2? 4 -5 + (-2 - (-4 + -2 + 3)) -4 What is the value of (2 - (-2 + 4)) + (-1 - -5)? 4 Evaluate -7 + 1 + (45 - 46) - -3. -4 What is 1 + -1 - (-13 + 10)? 3 (-1 - -1) + (7 - 5) + -1 1 What is the value of -3 + 3 - 4 - -4? 0 Evaluate 0 - 3 - (8 - 3). -8 What is -1 - (2 - (-1 + (6 - 3)))? -1 Evaluate (-4 - (-6 - -3)) + -3. -4 Calculate 7 + -4 + 0 + 0 + 0. 3 Evaluate 3 + (4 - (-1 + 6)). 2 Evaluate 1 - (0 - ((-2 - -2) + 5)). 6 7 + -14 + 5 + -3 -5 Evaluate -1 + 0 + -2 + 8 + -5. 0 (7 - 20) + 6 - -4 - 0 -3 Calculate 4 - 3 - 2 - 0. -1 What is the value of -5 - (-41 - -40 - (-1 + 10))? 5 What is 4 + -1 + (15 - 7 - 7)? 4 Calculate (13 - 4) + -4 + -8. -3 What is the value o
{ "pile_set_name": "DM Mathematics" }
). Let m(s) = -2*s**2. Give m(c(q)). -2*q**2 Let f(h) = -32*h. Let l(q) = 3*q**2 - 2*q - 2. Let j(b) = 7*b**2 - 5*b - 5. Let a(s) = -2*j(s) + 5*l(s). Determine a(f(c)). 1024*c**2 Let r(k) = 3*k**2. Let w(v) = 8 + 7*v + 0*v + 5 - 3*v. Give r(w(l)). 48*l**2 + 312*l + 507 Let i(q) = -q + 1. Let p(v) = 132*v - 140. Let c(w) = 19*w - 20. Let j(l) = -20*c(l) + 3*p(l). Let y(m) = -20*i(m) - j(m). Let s(r) = 3*r. What is y(s(x))? 12*x Let f(j) = 2*j + 3. Let y(r) = r + 1. Let w(a) = -f(a) + 3*y(a). Let u(d) = 0*d**2 + 4*d**2 - 3*d**2. Calculate u(w(x)). x**2 Let b(j) = 7*j**2. Let m(k) be the second derivative of k**6/180 + k**3/3 - 6*k. Let w(g) be the second derivative of m(g). Determine b(w(h)). 28*h**4 Let q(j) = 3*j**2. Let w(i) = -9*i + 5. Let o(v) = -22*v + 12. Let m(u) = -5*o(u) + 12*w(u). Calculate m(q(a)). 6*a**2 Let p(n) = 4*n**2 - 3. Let c(v) = 3*v**2 - 2. Let j(w) = 6*c(w) - 4*p(w). Let a = 7 + -5. Let x(f) = f**a - 3*f**2 + f**2. Calculate x(j(h)). -4*h**4 Let s(j) = 4*j - j + j. Let h(i) be the second derivative of -i**4/12 + 9*i. Calculate h(s(z)). -16*z**2 Let w(h) = 28*h**2 - 2*h. Let g(m) = 4*m**2. Give g(w(d)). 3136*d**4 - 448*d**3 + 16*d**2 Let w(s) = -s. Let n(k) = k + 9. Let a(l) = 3*l + 28. Let r(q) = -2*a(q) + 7*n(q). Let u be r(-5). Let i(h) = h**2 - u*h**2 - 3*h**2. Determine w(i(t)). 4*t**2 Let j(m) = -10*m**2. Let r(l) = 5*l + l - 5*l - 3*l. Determine r(j(p)). 20*p**2 Let s = -1 - 0. Let j(o) = o**2 - o + 1. Let y(r) = r**2 + 3*r - 3. Let g(l) = s*y(l) - 3*j(l). Let i(d) = -d**2. Determine g(i(n)). -4*n**4 Let z(w) = w. Let j(n) = -5*n. Let t(i) = -i**3 - 7*i**2 - 2*i - 7. Let r be t(-7). Let d(f) = -11*f. Let l(g) = r*j(g) - 3*d(g). Determine z(l(c)). -2*c Let l(f) = 2*f**2. Let h be (-3)/(-2) - 12/9. Let d(r) be the second derivative of 0*r**2 - h*r**3 + r + 0. Calculate l(d(t)). 2*t**2 Let z(r) = -2*r**2. Let f(j) = 244*j. What is z(f(a))? -119072*a**2 Let u(m) = m. Let y(l) be the third derivative of l**4/12 - 3*l**2. Let h(c) = -u(c) + y(c). Let i(n) = -2*n**2. Determine h(i(b)). -2*b**2 Suppose 0*o + 12 = -3*o. Let c(i) = -5*i**2 + 5*i + 5. Let a(s) = -5*s**2 + 4*s + 4. Let r(m) = o*c(m) + 5*a(m). Let g(v) = 3*v. Determine r(g(t)). -45*t**2 Let w(a) be the second derivative of -a**3/6 + a. Let u(l) = l - 39 + 39. Give u(w(f)). -f Let o(t) = t**2. Let j(c) = -18*c - 3. Let v(r) = 19*r + 4. Let b(q) = 4*j(q) + 3*v(q). What is b(o(p))? -15*p**2 Let p(m) = m + 5*m - 5*m + 3*m. Let l(v) = -3*v. Determine l(p(x)). -12*x Let r(f) be the third derivative of f**6/360 + 5*f**3/6 + 5*f**2. Let i(u) be the first derivative of r(u). Let y(k) = 5*k. Determine i(y(z)). 25*z**2 Let y(t) = -5 - 5 + 4*t + 2 + 2. Let h(a) = -3*a + 5. Let n(i) = 6*h(i) + 5*y(i). Let w(d) = -d + 2*d + 2*d. Calculate n(w(u)). 6*u Let c(q) = -q - 3. Let h(v) = 1. Let y(w) = 4*c(w) + 12*h(w). Suppose 3*f + 12 = -3*x - 3, -4*x + 2*f = -10. Let i(n) = 0 - 2*n**2 + x. Give i(y(j)). -32*j**2 Let y(g) = 4*g + 12. Let w(i) = -2*i**2 - 56*i + 24*i + 32*i. Determine y(w(k)). -8*k**2 + 12 Let a(d) = -13*d - 3. Let s(v) = 105*v + 24. Let u(w) = -33*a(w) - 4*s(w). Let h(b) = -b. Calculate u(h(z)). -9*z + 3 Let y(z) be the second derivative of -17*z**3/6 + 3*z**2/2 - 5*z. Let j(t) = -t**2. What is j(y(w))? -289*w**2 + 102*w - 9 Let r(z) = -15*z**2 + 18*z. Let c(i) = i**2 - i. Let m(b) = 18*c(b) + r(b). Let g(d) = 2*d**2. Give m(g(a)). 12*a**4 Let w(u) = 2*u**2 - 89. Let a(j) = -2*j**2. Calculate a(w(r)). -8*r**4 + 712*r**2 - 15842 Let i(u) = 4*u - 4*u - u. Let z(g) be the third derivative of g**5/20 + g**2. Give z(i(h)). 3*h**2 Let f(t) = -t. Let i(u) = 0*u**2 - 6*u**2 - 15*u + 3*u**2. Let v(p) = -15*f(p) + i(p). Let a(l) = l**2. Determine a(v(n)). 9*n**4 Let x(t) = -22*t**2. Let h(v) = -6*v. What is h(x(d))? 132*d**2 Let l(a) = 5*a. Let b(m) = 32*m. What is b(l(o))? 160*o Let u(s) = 2*s**2. Let k(h) = -3*h**2 - 12. Let o(v) = 6*v**2 + 23. Let y(q) = -9*k(q) - 4*o(q). Give u(y(p)). 18*p**4 + 192*p**2 + 512 Let u(c) = 61*c + 5*c - 4*c. Let r(g) = -2*g**2. Calculate u(r(i)). -124*i**2 Let o(i) = 31*i**2. Let y(a) = -3*a**2. Calculate y(o(n)). -2883*n**4 Let a(j) = j - 1. Let y(f) = f**2 - 2*f + 2. Let q(k) = -2*a(k) - y(k). Let w(n) = 9*n + 2. What is q(w(m))? -81*m**2 - 36*m - 4 Let r(j) = -3*j**2 - j**2 - 3*j**2. Let g(p) = p**2 + 3*p. Let q(x) = x. Let i(s) = -2*g(s) + 6*q(s). Calculate i(r(t)). -98*t**4 Let o(h) be the first derivative of -2*h**3 + 5. Let a(k) = k**2. Determine o(a(m)). -6*m**4 Let t(a) = 7*a**2 + 15*a. Let u(m) = 5*m. What is u(t(y))? 35*y**2 + 75*y Let h(d) = 1. Let z(y) = -2*y - 4. Let b(q) = -4*h(q) - z(q). Let s(m) = -2*m. Calculate s(b(a)). -4*a Let a(m) = 2*m**2. Let d(u) = 0*u - 2*u + 6*u. Calculate d(a(q)). 8*q**2 Let b(o) be the first derivative of 0*o**2 + 0*o - 4 + 0*o - 3*o**2. Let c(h) = -h + h + 2*h. Determine c(b(t)). -12*t Let y(a) = 147*a**2. Let u(m) = -19*m. Calculate y(u(f)). 53067*f**2 Let g(p) = 9*p**2. Let a(o) = 0*o - 2*o - o + 2*o. What is g(a(d))? 9*d**2 Suppose 4*g - 25 = 5*m, g - 4*g + m = -16. Let i(c) = c + 5*c - g*c. Let x(b) = b. Give i(x(h)). h Let j(u) = u**2. Let l(f) = -2*f - 8. Let c(x) = 2 - 1 + 0. Let y be (-5 + 1)*(-4 - -2). Let p(m) = y*c(m) + l(m). What is j(p(r))? 4*r**2 Let m(s) = 7*s**2 - 33*s. Let k(r) = -r. Give m(k(x)). 7*x**2 + 33*x Let p(v) = -v. Let c(j) = 11*j - 4. Let y(w) = 21*w - 7. Let m(q) = -7*c(q) + 4*y(q). Calculate m(p(k)). -7*k Let n(s) = -20*s + 3. Let o(x) = x**2. Determine n(o(g)). -20*g**2 + 3 Let i(j) = j**2. Let q(d) = -2*d - 7*d - d**2 + 9*d. Give q(i(y)). -y**4 Let v(h) = -h. Let k(m) be the first derivative of 0*m + 1/2*m**2 - 6. Determine k(v(f)). -f Let w(j) be the second derivative of -j**7/2520 + j**4/2 + 7*j. Let i(z) be the third derivative of w(z). Let q(f) = -2*f**2. Calculate q(i(a)). -2*a**4 Let r(g) be the second derivative of -g**4/24 - 3*g**2/2 + 3*g. Let w(q) be the first derivative of r(q). Let k(z) = -2*z**2. Calculate k(w(p)). -2*p**2 Let l(o) = 23*o. Let y(t) = 19*t**2. Calculate l(y(d)). 437*d**2 Let r(u) = -2*u**2. Let c(v) = -2*v**2 - 54. Determine c(r(m)). -8*m**4 - 54 Let s(i) be the second derivative of -i**4/4 + 2*i. Let l(q) = -5*q + 3*q + 4*q. Calculate s(l(j)). -12*j**2 Let j = -12 - -12. Let f(c) = j + 650*c**2 + 0 - 645*c**2. Let b(k) = -4*k**2. Determine f(b(o)). 80*o**4 Let q(c) be the second derivative of -3*c + 0 + 0*c**2 + 1/6*c**4 + 0*c**3. Let j(a) = 2*a**2. What is j(q(k))? 8*k**4 Let l(r) = -r. Let b(t) = t**3 - 6*t**2 - 8*t + 9. Let m be b(7). Let g(o) = m*o**2 - 19*o - 10*o + 29*o. What is g(l(x))? 2*x**2 Let q(z) = z**2. Let b(f) = 817*f. What is b(q(m))? 817*m**2 Let d(j) = -14*j**2 - 11*j - 11. Let c(w) = 5*w**2 + 4*w + 4. Let n(p) = -11*c(p) - 4*d(p). Let m(b) = -14*b**2. Give n(m(r)). 196*r**4 Let v(i) = 2*i**2. Let f(x) be the third derivative of 3*x**5/20 - 11*x**2. Determine f(v(s)). 36*s**4 Let r(w) = -2*w - 3. Let k(f) = 2*f + 2. Let y(n) = -3*k(n) - 2*r(n). Let u(d) be the second derivative of d**3/2 + 4*d. Determine u(y(t)). -6*t Let f be 2 + (4/2 - -10). Suppose -5*g + f = 4. Let u(y) = y**2 + 3*y**g - 3*y**2. Let s(w) = -w**2. Give u(s(i)). i**4 Let x(j) = -9*j**2. Let w(o) = -32*o. Give x(w(a)). -9216*a**2 Let y(d) = d. Let p(c) = -137*c. Determine p(y(v)). -137*v Let r(s) = s**2. Let x = 8 - 4. Suppose p - x = -p. Let n(j) = 2 - p + j. Determine n(r(g)). g**2 Let y(w) = 28*w + 1. Let p(s) = 33*s**2. Determine y(p(f)). 924*f**2 + 1 Suppose -23 = -4*s + 2*f + 9, 0 = -s - 2*f - 2. Let v(i) = -i - 6 + s. Let u(p) be the first derivative of 2*p**2 - 5. What is v(u(g))? -4*g Let c(i) = 2*i**2. Let f(z) = 9*z**2 + 5*z. What is c(f(a))? 162*a**4 + 180*a**3 + 50*a**2 Let n(h) be the first derivative of 5*h**3/3 - 2. Let t(p) = 4*p + 0*p - 2*p. Calculate n(t(s)). 20*s**2 Let a(k) = 2*k. Let f(t) be the second derivative of t**4/6 + 4*t. Give f(a(y)). 8*y**2 Let n(u) = 10*u + 4. Let v(r) = -12*r - 5. Let q(w) = -5*n(w) - 4*v(w). Let i(l) = 4*l + 10. Determine i(q(h)). -8*h + 10 Let g be (1 - (0 - 2)) + -3. Let k(r) be the third derivative of g*r**3 - 1/12*r**4 - 2*r**2 + 0*r + 0. Let b(n) = 2*n. Determine b(k(h)). -4*h Let t(u) = u + 69. Let j(d) = d**2. Calculate j(t(o)). o**2 + 138*o + 4761 Let g(j) = j**2. Let w(s) = 5*s. Dete
{ "pile_set_name": "DM Mathematics" }
0*p + 103*p - 245*p**2 + 8 + 397*p in the form t*p**2 + r + i*p and give i. 0 Express (-188*z - 38 + 121*z - 10*z)*(-3*z**2 + 2*z**2 + 4*z**2) in the form a*z**2 + n + b*z**3 + d*z and give b. -231 Express 3*s**3 + 100*s**2 - 3*s**3 + 2*s**3 + 44*s**2 in the form d*s + n*s**3 + o*s**2 + q and give n. 2 Rearrange (163*o - 433*o + 143*o)*(-2 + 5 - 1) + o - 3*o + 0*o + (0*o + o - 2*o)*(0 + 5 + 14) to c*o + q and give c. -275 Express 8592*z**3 - 31065 + 31067 - 954*z**3 + 11063*z**3 in the form g*z + p + h*z**2 + y*z**3 and give h. 0 Express 8 - 14559*b + 7624*b + 1 - 9 in the form o + m*b and give m. -6935 Rearrange -475*i + 432*i - 135*i - 804*i to y + x*i and give x. -982 Rearrange (0*u**2 + u**2 + u**2)*(-3474*u - 4738*u + 1 - 4097*u - 3034*u - 1) to z*u**3 + p*u + f + m*u**2 and give p. 0 Express q**3 - 1937879*q - 6 - 4*q**4 - q**2 + 1937871*q + 5*q**4 as x*q + y*q**2 + a*q**3 + f + o*q**4 and give f. -6 Rearrange (1468 + 108 + 754 - 154)*(u + 3*u - 2*u) to the form g*u + m and give g. 4352 Express 1259*n - 1678*n - 1626*n - 2204*n - 915*n as h*n + k and give k. 0 Rearrange 7*v + 44 + 317 - 125 - 4*v + 123 to f + g*v and give g. 3 Express 3*g**3 - 5*g**3 - 4*g**3 + 4*g**3 + 212 - 3 as y*g**2 + c*g**3 + a*g + k and give k. 209 Express 0*q + 19321 - 31090 - q as u*q + y and give y. -11769 Rearrange -9220*l + 804*l + 5075*l - 11121*l to j*l + n and give j. -14462 Rearrange (a**2 + a**2 - 3*a**2)*(2 + 0 + 14) + 4*a**2 - 23*a**2 - 5*a**2 to the form p + k*a**2 + f*a and give k. -40 Express 685*w + 699*w - 10674*w**2 + 3178*w**2 - 1384*w as k + t*w + a*w**2 and give a. -7496 Express (4 + 3*w - 4)*(-132 + 35 + 2768*w + 97) as f*w**2 + n*w + i and give i. 0 Express -52 - 57 - 55 + 224 - 668*p - 58 as b + d*p and give b. 2 Express 165*a**2 - 135*a**2 + 20 - 18*a - 291 + 20*a + 21 in the form d + v*a**2 + u*a and give u. 2 Rearrange (-5*m**2 + 3*m - 3*m)*(-1385*m + 1385*m - m**2) + (4 + 5 - 9 + 44*m**2)*(0*m**2 + 4*m**2 - m**2) to i*m**2 + n + y*m**4 + b*m + z*m**3 and give y. 137 Rearrange (-1298*n + 11*n**3 + 1299*n + 15*n**3)*(2*n - 11 - 11 + 0) to h*n**3 + i*n + v*n**2 + z*n**4 + p and give i. -22 Express -4983 + 9952 - 469*j - 4969 + (-1 + 1 + 2*j)*(-2 - 4 + 4) + 4*j - 2*j - j as z + u*j and give u. -472 Rearrange (-w + 0*w + 2*w)*(-22*w + 184875*w**2 - 184872*w**2 - 31*w + 1) to the form y*w**3 + b*w**2 + a*w + g and give y. 3 Rearrange 112847*n**3 + 112846*n**3 - 225689*n**3 - 3 - 13*n**2 + 3*n - 29*n**2 to x*n**3 + k*n + s*n**2 + o and give o. -3 Express (2 + 2 - 3 + (-2 + 3 - 2)*(-1 - 1 + 4))*(-884*d + 406*d - 108*d - 869*d - 265*d) as a + o*d and give o. 1720 Rearrange 2*t + 230 + 236 - 457*t**4 + t**3 + 237 - 703 to the form p*t**4 + b*t**3 + n + l*t + o*t**2 and give b. 1 Express (7*m - 42 + 42)*(m + 15 - 8*m + 49) in the form y + h*m**2 + a*m and give a. 448 Rearrange (-3 + 5 + 0)*(4 - 4 - 4*k) - 1 + 4*k + 0*k - 3*k + 548*k + 1023*k + 1267*k to j + s*k and give s. 2831 Express 6383 + 299*p**3 - 19*p**2 + 30*p**3 + 18*p**2 - 6386 in the form w*p**2 + h + m*p + q*p**3 and give q. 329 Rearrange (-3070 + 87*y**2 + 3070)*(8 + 28*y - 8)*(4*y + 2*y - 7*y) to l*y**4 + s*y + i + m*y**3 + q*y**2 and give l. -2436 Express -194*r + 2682*r - 21*r - 3*r + 0*r + r + (3 - 2 - 3)*(4*r - 2*r - r) as x + n*r and give n. 2463 Rearrange (4*y**2 - 2*y**2 - y**2)*((-11 + 1 - 6)*(-59 + 88 + 86) + 1 - 1 + 1) to k + s*y + g*y**2 and give g. -1839 Rearrange (1 - 2 - 1)*(64*u + 17*u + 21*u) + (2 - 1 + 0)*(4 - 4 + u) - 44*u - 174 + 174 to v + y*u and give y. -247 Express (-31035*m + 15514*m + 28707 + 15519*m)*(0 - 5 + 4) in the form t + k*m and give k. 2 Express 3*d**4 - 5*d**4 - 2*d**4 + (3*d**3 - 4*d**3 + 0*d**3)*(-31*d - 17*d + 6*d) as a + n*d**4 + f*d**3 + q*d**2 + r*d and give n. 38 Express -4*b + 8*b**3 + 19*b + 380*b**2 - 721*b**2 - 1 + 342*b**2 in the form d*b + a + x*b**2 + k*b**3 and give k. 8 Rearrange -21*v**2 + 12*v**2 + 33*v - 9*v**2 - 3*v + 14*v to m + n*v + g*v**2 and give n. 44 Rearrange -3*n**2 + 5*n**2 - 4*n**2 + (-2 + 2 - 2*n)*(3 - 3 + 2*n) - 291*n**2 + 238*n**2 + 704*n**2 to the form p + b*n**2 + h*n and give b. 645 Express -1 - 2*n + 1 + (n + 0*n - 2*n)*(2 + 4 - 4) + n + 1 - 1 + 105 + 80 + 3231*n - 187 in the form l + u*n and give l. -2 Express (-1 - 1 + 1)*(-v + 1 - 1) - 2841947 + 6202*v + 2841947 in the form a + m*v and give m. 6203 Rearrange 2600 + 233066*m**3 - m**2 + 5*m**2 - 4*m**2 - 233067*m**3 to the form w*m**3 + c + u*m**2 + t*m and give w. -1 Express (-206 + 206 + 461*f**2)*(-3236*f - 23*f**2 + 3236*f) in the form b*f**3 + s*f**2 + r*f + v + q*f**4 and give q. -10603 Rearrange -2 - 2*i**2 - 12*i**2 + 0*i - i + 10*i**2 + 14*i**2 - 4*i**4 to w*i**2 + h + m*i**4 + y*i + v*i**3 and give m. -4 Rearrange (5*s**2 + 105*s + 1 - 105*s)*(-124*s**2 + 263*s**2 + 207*s**2) to the form p*s + o + n*s**2 + z*s**3 + q*s**4 and give n. 346 Rearrange (-1847*o - 3998*o - 532*o)*(-3*o + 2*o + 3 - 4) to j + l*o + i*o**2 and give l. 6377 Express 1 - l - 1 + (-9*l + 0 + 0)*(42 + 27 - 13) as y*l + m and give y. -505 Express 35*b**4 - b**3 + 1226*b**2 + 2 - 617*b**2 - 608*b**2 as g*b**4 + z*b**3 + a*b + l + s*b**2 and give z. -1 Express 12502 - 6227 + 13*s**3 + 81*s**2 - 6271 as u*s**3 + g*s + j + o*s**2 and give g. 0 Express 7 - 2*k - 7 + (-1 + 2 - 3)*(8 - k - 8) - 6*k + 2*k + 3*k - 128*k + 205*k - 8 + 199*k + 8 in the form h + u*k and give u. 275 Rearrange -6 - 32*x**3 - 439117*x - 3 - 43*x**3 + 439117*x to t*x**3 + m*x**2 + d*x + k and give k. -9 Rearrange 2570 - 21*w - 1328 - 2*w**3 - 3*w**2 - 1338 to x*w + i*w**3 + l + n*w**2 and give i. -2 Rearrange 6*n - 105*n + 6*n + 40*n**2 to the form s*n**2 + w + g*n and give s. 40 Express (-453 + 704*v + 453)*(-v + 0*v + 3*v) - 2*v**2 + 0*v**2 + 5*v**2 as j*v + t*v**2 + g and give j. 0 Rearrange (-18*l + 41*l - 29*l)*(-4 + 3*l + 4)*(4 - 15*l**2 + 5*l**2 + 9*l**2 - 2) to i*l**4 + v*l**2 + n + a*l + m*l**3 and give v. -36 Express 90*p**4 + 97*p**4 - p - p + 14 - 274*p**4 + 92*p**4 + 2*p**3 as b*p**4 + i + f*p**3 + c*p + u*p**2 and give c. -2 Express (5 - 4 - 4)*(2*y**3 + y**3 - 5*y**3) + (-161*y + 33*y + 40*y - 170*y)*(0*y**2 + 0*y**2 + y**2) in the form o*y**3 + i + j*y + a*y**2 and give o. -252 Rearrange (165*f + 63*f + 23*f)*(-7*f**2 - 10*f + 10*f)*(5 - 2 - 1)*(1 - 1 + 1) to the form r*f**3 + m*f**2 + t*f + h and give r. -3514 Express (544*i**4 - 507*i**4 + 12*i - 14*i)*(-273 - 323 + 552) as b*i**4 + f*i + w + m*i**2 + a*i**3 and give f. 88 Express -127 + 677 - 550 - 18489*m**2 as a*m + b + x*m**2 and give x. -18489 Express -458*a**2 + 8682*a**2 + 353*a**2 in the form j*a + f + k*a**2 and give k. 8577 Express -41420 + 41420 + 13*m + (m + 0*m + 0*m)*(12 + 3 + 7) as d + a*m and give a. 35 Rearrange (-u + 4*u - 2*u)*(-25*u - 13*u - 315*u - 219*u - 88 + 244*u) to the form w*u**2 + c*u + x and give c. -88 Express 10*v**3 + 5*v**3 + 4*v - 15*v**2 + 4*v + 16*v - 27*v in the form d*v**2 + r + s*v + w*v**3 and give d. -15 Rearrange (-4 + 4 - 2*o**2)*(-11*o**2 - 26*o**2 + 42*o**2 - 531) to z*o + w + u*o**2 + y*o**4 + v*o**3 and give z. 0 Express (-4*t + 5*t - 4*t)*(-1 + 0 + 6)*(-18 - 43 - 17)*(9 - 4 - 1) + (-2 - t + 2)*(0 + 0 + 2) + t + 0*t - 3*t + t - 6*t + 2*t in the form p + o*t and give o. 4673 Rearrange -2*x + 4*x**2 - 299*x**3 - 258431 + 0*x**2 + 258432 - x**2 to f*x**3 + q*x + w*x**2 + n and give w. 3 Rearrange (-1 + 2 + 0)*(-5 - 9 - 9)*(-1266 + 1266 + 13*t**4) to the form z*t**3 + p*t**2 + k + w*t**4 + g*t and give w. -299 Rearrange 4*p + 5*p**3 + 345*p**2 + 58667065 - p - 58667063 to the form b + z*p**2 + o*p + q*p**3 and give o. 3 Express 913*b - 913*b - 9282*b**2 + 1067*b**2 as t*b**2 + x*b + k and give t. -8215 Rearrange (-5*d - 1 + 1)*(-4*d + 4*d + d**3) + 14*d - 1991*d**4 + 1006*d**4 + 1003*d**4 to h + s*d + n*d**2 + x*d**4 + c*d**3 and give s. 14 Express 19*j**2 - 11 + 11 + (-31 + 5*j + 31)*(-4 + j + 4 + (0*j + 2*j - j)*(3 - 3 + 2) + 2*j - 4*j + 0*j) in the form x*j + k*j**2 + b and give b. 0 Rearrange (4363*m**2 + 3071*m**2 - 6062*m**2)*(2*m + 0*m - 3*m) to the form b*m + o*m**3 + f*m**2 + g and give o. -1372 Express 62398*l - 2 + 10*l**2 - 15*l**2 - 27*l**4 - 62366*l as p*l**3 + g*l**2 + h*l + j + t*l**4 and give t. -27 Express 2 - 40*d**3 + 9*d**3 - 82*d**3 as x + y*d + z*d**2 + i*d**3 and give i. -11
{ "pile_set_name": "DM Mathematics" }
(-3*sqrt(1000) - sqrt(10))/(sqrt(80)*6) - (sqrt(44)/sqrt(2)*-6)/((sqrt(99) + sqrt(11))*-5). -191*sqrt(2)/120 Simplify (4*6*((sqrt(1088) - (0 + sqrt(1088))) + -1))**2 + (sqrt(170) - (sqrt(170) + (sqrt(170) - sqrt(170)*-1)*-6))/(sqrt(720)/sqrt(2)). 2*sqrt(17) + 576 Simplify 6*(((sqrt(275)*2 - sqrt(275)) + sqrt(275) + -3)*6 - (sqrt(275) + 1 + 5)*-4)**2*-6. -2535696 - 34560*sqrt(11) Simplify -2*3*(-2 + (-1*5*((sqrt(11) - (sqrt(11) + -1)) + -1 - sqrt(11)))**2) + 5. -1633 Simplify -1*((sqrt(13) + sqrt(65)/sqrt(5)*-5)*6)**2 - (5*(sqrt(104) - (sqrt(104) - 2*sqrt(104)) - sqrt(104)))/(sqrt(8) - (sqrt(8) - -1*sqrt(200))). -7488 + sqrt(13) Simplify (1 + sqrt(363) - sqrt(363))*-3 - (sqrt(363) - 4*(-1 + sqrt(363))) - (((sqrt(363) - (0 + sqrt(363))) + -1)**2*-4 + -2). -1 + 33*sqrt(3) Simplify -3 + (sqrt(72)*1 - (sqrt(6)/sqrt(3) + -4)) - (sqrt(242) + (sqrt(242) - (-4 + (-2 + sqrt(242))**2)))*-2. -483 + 137*sqrt(2) Simplify 4 + sqrt(18)/(sqrt(45)/sqrt(5)*-4) + (sqrt(242) - ((2*sqrt(242))**2 - sqrt(242))*1 - (sqrt(242) + sqrt(242) + -3*(1 + sqrt(242)))**2). -1215 - 177*sqrt(2)/4 Simplify 3 + 2 + (3 + sqrt(50)/sqrt(10))**2 - ((sqrt(160)/sqrt(8))**2 + (sqrt(30)/sqrt(6))**2 + sqrt(5) + 5). -11 + 5*sqrt(5) Simplify (-2*(-5*sqrt(108) + -4) - (-1*(sqrt(108)*-1 - sqrt(108)) + (sqrt(108) - (sqrt(108)*-1 + 3 + sqrt(108)))))**2. 924*sqrt(3) + 5413 Simplify (-5 + (((sqrt(270)/sqrt(216))/(sqrt(225)*1) + 0)*2)**2)*2. -448/45 Simplify (5*2*sqrt(567)*1 - (-2 + sqrt(28)*1*2))*1. 2 + 86*sqrt(7) Simplify (-6*(sqrt(190) - ((sqrt(190) + -2*sqrt(190))*-3 + sqrt(190))))/(sqrt(30)/((-2*sqrt(33))/sqrt(11))). -36*sqrt(19) Simplify (-1 + sqrt(325) + -5 - -2*(sqrt(325)*-2 + sqrt(325)))*1 + -4*sqrt(325) + sqrt(325) + -1 + (sqrt(325)*1 + sqrt(325))*-2. -40*sqrt(13) - 7 Simplify 2*(-2 + (1*(sqrt(48)*3 + sqrt(48)))**2*2) + 2. 3070 Simplify 1 + ((sqrt(102) + 1*sqrt(102))/sqrt(6))**2 - -2*-3*sqrt(17)*-2 - ((sqrt(51) + sqrt(255)/(sqrt(20)/sqrt(4)))/(-3*-2*sqrt(3) - sqrt(3)) + -3). 58*sqrt(17)/5 + 72 Simplify ((-5*1*sqrt(325) - (-4 + (sqrt(325) - (-1 + sqrt(325))))) + -3 + -3*sqrt(208) + -5)**2. 370*sqrt(13) + 17822 Simplify 5 + (-1*-1*sqrt(121)/(-1*sqrt(99)) - (sqrt(1331)*1 + 2 + -1)**2*1). -1327 - 67*sqrt(11)/3 Simplify (5*(-2 + 1*sqrt(833))*-1 - (-4 + -4 + (sqrt(833) - (sqrt(833)*-3 + sqrt(833))))*-5)**2. -4200*sqrt(17) + 84200 Simplify ((sqrt(80)/(-3*sqrt(70)/sqrt(7)))/((sqrt(48)/sqrt(2))/sqrt(6) - (-4*sqrt(64) + sqrt(4)))*4)**2. 1/72 Simplify (-1*sqrt(6655)*1*5)/((sqrt(88) + 1*sqrt(88) + sqrt(88))/(sqrt(98)*-1)). 385*sqrt(5)/6 Simplify (3 + 2*(6*(sqrt(475)*-2 + sqrt(475))**2 + 3) + -4)*4. 22820 Simplify 3*((sqrt(70)/sqrt(63))/(sqrt(6)/sqrt(75)) - ((0 + (sqrt(5) - sqrt(10)/sqrt(2)))**2 - (sqrt(245) + 0))). 26*sqrt(5) Simplify -5 + ((sqrt(450)/sqrt(10))/sqrt(9) + (sqrt(5) + 1)*-4 - (2 + sqrt(45)/sqrt(9) + -1)*-5)**2. 4*sqrt(5) + 16 Simplify sqrt(17) + (sqrt(17) + 4)*2 + sqrt(34)/(-5*sqrt(2)) + 6*(-2*(0 + sqrt(17)) + sqrt(17) + 0 + (sqrt(17) + 2)**2 + sqrt(17)). 134*sqrt(17)/5 + 134 Simplify -1*(sqrt(170) + (3*sqrt(170)*1 + sqrt(170) + sqrt(170) - sqrt(170)))/(sqrt(60)/(sqrt(6) + sqrt(24)/sqrt(4) + sqrt(6)))*-4*3. 180*sqrt(17) Simplify (-2 + (sqrt(135)/(sqrt(3)*3) - (sqrt(720) - sqrt(720)*3) - ((sqrt(360)*-2)/sqrt(8) + -2 + sqrt(45) + -2)) + 4)**2. 336*sqrt(5) + 3956 Simplify ((sqrt(88)*-1 + sqrt(88) - sqrt(88))*6)/((2*sqrt(32))/sqrt(4)) + 2*-4*sqrt(396)*4. -195*sqrt(11) Simplify sqrt(1872) - (-1 + sqrt(1872))*4 - (2*(sqrt(1872) - (0 + sqrt(1872))))**2 - 6*(sqrt(1872) + -3 + sqrt(1872)*-3 + sqrt(1872) + sqrt(1872))**2*-2. -36*sqrt(13) + 112 Simplify sqrt(99)/(4*sqrt(324))*3 - ((sqrt(121) + 6*sqrt(121)*3)/sqrt(11)*4)**2. -63536 + sqrt(11)/8 Simplify -3*((-6*sqrt(360)*5)/sqrt(10))/(sqrt(12) + (-2*sqrt(1728) + sqrt(1728) - sqrt(1728)) - sqrt(108)/(sqrt(9)*-1)). -45*sqrt(3)/11 Simplify (3 + 2 + (sqrt(425) - sqrt(425)*2 - ((0 + sqrt(1088))**2 + sqrt(17)))*6)*5. -32615 - 180*sqrt(17) Simplify (-5*2*(2*2*sqrt(68)*5)/(-5*sqrt(8)/(sqrt(4)/sqrt(2)))*-3)**2. 244800 Simplify (4 + 0 + ((sqrt(187) - (2*sqrt(187)*2 - sqrt(187)))*1)/(6*sqrt(704)*-2))**2. sqrt(17)/6 + 36881/2304 Simplify (3*(4 + (sqrt(245) - (sqrt(245) + -1)) + sqrt(245))*-1 - 2*(-2 + 5 + 3 + sqrt(245)))**2. 1890*sqrt(5) + 6854 Simplify ((4*sqrt(336)/(sqrt(60)/sqrt(40)))/((sqrt(847) - -6*-2*sqrt(847) - sqrt(847) - sqrt(847))*6))**2. 128/184041 Simplify (sqrt(7) + -3 + (sqrt(7) - sqrt(7)*-3) + sqrt(49)/sqrt(343) - (sqrt(35)/(sqrt(20)/sqrt(4)) + sqrt(7) + 0 + 1))**2. -176*sqrt(7)/7 + 596/7 Simplify 6*(-6*-2*sqrt(15) - (1*sqrt(135) - sqrt(135)))/(sqrt(25)/(sqrt(20)*-5 - sqrt(5))). -792*sqrt(3) Simplify (-3*-2*sqrt(76) - sqrt(76)*1*-4)/(-1*(sqrt(64) + -4*sqrt(64)*2)). 5*sqrt(19)/14 Simplify ((sqrt(10) + (sqrt(60)/sqrt(6)*-2 - sqrt(10)) - sqrt(10) - -1*sqrt(40))/(6*((sqrt(125) - -1*sqrt(125)) + sqrt(125) - sqrt(125))*4))**2. 1/28800 Simplify (sqrt(5) + sqrt(5) + 3*(sqrt(5) + -4) - -4*(-2 + sqrt(5)) - ((-1*sqrt(280) + sqrt(280))/sqrt(7))/(-5*sqrt(32)/sqrt(4)))**2. -360*sqrt(5) + 805 Simplify ((-3 + (6*(3*sqrt(78) - sqrt(78)) - sqrt(78))/((sqrt(144)/sqrt(4))/sqrt(6)))**2 + -2 + 0)*1. -66*sqrt(13) + 1580 Simplify 0 + (5*(3*5*sqrt(720) + -5 + 2*sqrt(720)) + -4)**2 + 3. -59160*sqrt(5) + 5202844 Simplify sqrt(3) + (1*sqrt(3))**2*-1 + sqrt(27) + -1 - ((sqrt(36)/sqrt(2) + sqrt(18))*3)/(sqrt(66)/(sqrt(44)/sqrt(4))). -4 - 2*sqrt(3) Simplify (-4 + (sqrt(684) + 4 - (sqrt(76) + 2*sqrt(76))/sqrt(4)) - (-4 + 4*sqrt(57)/(sqrt(6)/(sqrt(2)*-2))))**2. 88*sqrt(19) + 2315 Simplify (((sqrt(6336) - (sqrt(6336) - (sqrt(6336) + -3*sqrt(6336)))) + (sqrt(308) + sqrt(308)*-1)/sqrt(7))*-4)/(1*sqrt(4)*-4 + 4*sqrt(144)). 24*sqrt(11)/5 Simplify (-4*(-6*1*(-1*(0 + sqrt(19)) - sqrt(19)) + ((sqrt(418) + sqrt(418)*-2)/sqrt(11))/(sqrt(2) + (sqrt(2) - sqrt(32)*-4) - sqrt(2))))**2. 12527536/289 Simplify (-3*5*sqrt(190)*-3)/(sqrt(360) - 2*-3*sqrt(360)). 15*sqrt(19)/14 Simplify (-4*sqrt(140)/sqrt(7))/sqrt(4) + -1 - ((sqrt(25)/(-2*(sqrt(5) - sqrt(245))))**2 + 0). -4*sqrt(5) - 149/144 Simplify (sqrt(52)/(sqrt(20)/sqrt(5)) + sqrt(13) + (sqrt(65) - 4*sqrt(65))/sqrt(5) + (sqrt(156)/(sqrt(12)*-2 + sqrt(12)) - (sqrt(26)/sqrt(2) + -1)) + -3)**2. 12*sqrt(13) + 121 Simplify ((sqrt(4860)*2)/(sqrt(36)/sqrt(108) + sqrt(12)))**2 + -5 + ((sqrt(605) + -4 + 1*sqrt(605))**2 - sqrt(605))*2. -374*sqrt(5) + 296803/49 Simplify (-1 + 1*(-1*(sqrt(156) - (sqrt(156) - -1*sqrt(156))))/(sqrt(48)/(sqrt(8)/sqrt(2))))*2. -2 + 2*sqrt(13) Simplify (-2*(sqrt(13) + 2)*-4 + 4)**2 + 4 + sqrt(13)*-4 + (sqrt(208) - (sqrt(208) + -4)). 316*sqrt(13) + 1240 Simplify (3 + (-3*6*(sqrt(2) + sqrt(8)) - (2 + sqrt(300)/sqrt(6))) + -4)**2. 354*sqrt(2) + 6971 Simplify 1 + (2*1*sqrt(425) + 2*sqrt(425)*-1 - (-2*sqrt(153)*-3 + sqrt(153))/(sqrt(99)/(sqrt(22)/sqrt(2)))). -7*sqrt(17) + 1 Simplify sqrt(1872)*-1 + 1 + -3 - (0 + (sqrt(208))**2 + -2)*-6. -12*sqrt(13) + 1234 Simplify -2*(-4*((sqrt(1900) - (sqrt(1900) + 2)) + sqrt(1900) - sqrt(1900)) + -5 - (-3 + sqrt(1900) + -1*sqrt(1900) + 2))**2. -32 Simplify ((sqrt(343) + -1*sqrt(343))*3)**2 + (sqrt(343) - 1*(sqrt(343) - (sqrt(343) + 0))) + ((2*sqrt(448))**2 + -1)*-6. -10746 + 7*sqrt(7) Simplify -1 + (-6*((sqrt(1728) + -2)*1 - 1*sqrt(1728)*3))**2. 6912*sqrt(3) + 248975 Simplify ((sqrt(49) - -1*sqrt(49))*4*1)/((sqrt(175) + (sqrt(175) - sqrt(175)*-1))*6) + 4 + -1. 4*sqrt(7)/45 + 3 Simplify (((sqrt(48) - sqrt(288)/(sqrt(6) + sqrt(6)*-3))/(sqrt(40)/sqrt(5)*2))/(5*(sqrt(288)*-2 + sqrt(2) - sqrt(72)*2)))**2. 27/490000 Simplify -5 + (sqrt(4212) - 2*sqrt(4212))/(sqrt(128)/sqrt(8)) + ((-2*(1*sqrt(91) - sqrt(91) - sqrt(91)))/(-1*sqrt(847)))**2. -9*sqrt(13)/2 - 553/121 Simplify -2*4*-3*(-2*sqrt(136)*-2 + sqrt(136))/(sqrt(32)/sqrt(400)). 1200*sqrt(17) Simplify (2*(-2 + 2*(-1*sqrt(288) + sqrt(288))) + -5 + (sqrt(288) - -3*sqrt(288)) + (sqrt(288) + sqrt(288) + 2)*3 + -3)**2. -1440*sqrt(2) + 28836 Simplify (((sqrt(77) - (1*sqrt(77) - sqrt(77)))*1 - (sqrt(77) - 2*(sqrt(77) + sqrt(77)*1 + sqrt(77))))*1)/((sqrt(42) - 2*sqrt(5082))/(sqrt(18)/sqrt(3)*4)) + 0. -8*sqrt(11)/7 Simplify 5 + sqrt(13) + (1*sqrt(13)*-4)**2 + 1 - (-5*(sqrt(13) + 4 + sqrt(13)) + (sqrt(13) - (5*sqrt(156))/sqrt(12))**2). 26 + 11*sqrt(13) Simplify -5*(sqrt(13) + (sqrt(104)/(sqrt(32) + sqrt(8)))**2 - 6*sqrt(65)/sqrt(5) - (0 + sqrt(13) + 2 +
{ "pile_set_name": "DM Mathematics" }
a) 24.9 (b) 1/98 (c) 0.3 (d) 2/3 (e) -1/2 b Which is the third smallest value? (a) 112 (b) -60 (c) -0.064 a What is the smallest value in 3/1010, 53.864, 1/2? 3/1010 Which is the fourth smallest value? (a) 17 (b) 16 (c) -31 (d) 4/5 (e) 3/2 (f) -2/33 e Which is the biggest value? (a) -1/122 (b) 2.4 (c) -0.916 b What is the third smallest value in -505, 4, 37270? 37270 What is the sixth biggest value in -6, -55, -0.56, 4, -0.1, -1/7, -0.09? -6 Which is the second biggest value? (a) -6/32069 (b) 11/4 (c) -0.1 (d) -1/3 (e) -0.3 a Which is the sixth biggest value? (a) 2/5 (b) -3.3 (c) -1 (d) -2 (e) 2/13 (f) 0.2 (g) -5 b What is the fourth smallest value in -2/814405, 270, 0.6, 0.5? 270 Which is the fourth smallest value? (a) 84 (b) -1/24 (c) -1/6 (d) 330/7 (e) -1 d What is the second biggest value in -2/11, 7, -2, -599? -2/11 Which is the third smallest value? (a) 4 (b) 7505 (c) -2 (d) -0.07 (e) -15 d Which is the second biggest value? (a) 95946.8 (b) -3 (c) 2 (d) -0.12 c What is the fifth biggest value in 2863, 2/29, -52, 1, -4? -52 What is the third smallest value in 16, 0.1, 3/13, 138.36? 16 Which is the fourth smallest value? (a) 5 (b) -0.3744 (c) 0.2389 (d) 0.1 a What is the second smallest value in -20975, -5, 4, -11.03, 0.3? -11.03 What is the biggest value in -2/7, 2964, 3605? 3605 Which is the sixth biggest value? (a) -0.4 (b) 0 (c) -0.4649 (d) 0.4 (e) -0.5 (f) -3/223 e Which is the fourth smallest value? (a) 0.02 (b) 0 (c) -3 (d) 1 (e) 9 (f) -22 (g) 4/17 a Which is the fourth smallest value? (a) -15 (b) 1/7 (c) -0.498251 (d) 1 (e) -0.4 b What is the fifth smallest value in 2/13, -18, 7542, 5, 2/7, 3? 5 Which is the fifth smallest value? (a) 0.5 (b) 7/81 (c) 4 (d) 0.04 (e) 6 e Which is the second biggest value? (a) -1/2 (b) 0.024 (c) -110.17434 a Which is the third biggest value? (a) -37 (b) 0 (c) 0.3 (d) -2/9 (e) 3 (f) 2/17 f What is the fourth biggest value in 0.3919, 2/3, -2021, -4/5? -2021 Which is the second smallest value? (a) -27/7 (b) 3/2 (c) 0 (d) 1.75 (e) 5 (f) -0.9 f Which is the second biggest value? (a) 1/389 (b) 1/3 (c) 626 b What is the third smallest value in -3/7, 0.07, 6.318, -5/8, -0.4, -3? -3/7 Which is the third smallest value? (a) -63639 (b) 15 (c) 4 b What is the second biggest value in 2.0501, -164, -0.09, 5? 2.0501 Which is the fourth biggest value? (a) -28.8224 (b) 35 (c) -2 (d) -0.4 (e) 0.5 c Which is the third biggest value? (a) -2/11 (b) 0.2 (c) -12 (d) 23 (e) -92 (f) -0.3 (g) -7 a What is the sixth smallest value in 598, 1/4, -4, 0.5, 0, -29/7? 598 What is the fifth biggest value in 26, -27, -8, -4/7, 0.3? -27 Which is the third smallest value? (a) 2/11 (b) -0.14 (c) -2 (d) 2 (e) -0.4 (f) -28 (g) -1 g Which is the biggest value? (a) -205 (b) -17 (c) -0.1 (d) 3.3 (e) -5 (f) -4 d What is the third smallest value in 5/6307, -2/3, -31/150? 5/6307 What is the sixth biggest value in 8, -3/2, 0, 52724, 2, 0.3? -3/2 Which is the third smallest value? (a) 2 (b) 1/5 (c) 723/305 (d) -4/5 (e) -0.3 (f) -1 e Which is the second smallest value? (a) 74 (b) 12 (c) 0.01 (d) -0.461 c Which is the second biggest value? (a) -8 (b) -49549 (c) 2/155 a What is the biggest value in -278, -7.8, 175? 175 What is the second smallest value in -402, -780/41, 5? -780/41 What is the second smallest value in 33, -2, -0.1, 1397/52, 0.2, 5, 3? -0.1 Which is the fourth biggest value? (a) -4/3 (b) -39.1155 (c) -0.2 (d) -1/293 b Which is the second smallest value? (a) 517 (b) 27.1 (c) 2/13 (d) -3 (e) 0.1 e Which is the second smallest value? (a) -1/205 (b) 2 (c) -19/2 (d) -1/563 a Which is the third biggest value? (a) -1849 (b) 104 (c) -1/3 (d) -0.2 (e) -15/7 c Which is the second biggest value? (a) 6 (b) -590167 (c) 7 a Which is the fourth biggest value? (a) 0.16 (b) -21/377 (c) -0.068 (d) -0.3 (e) 2/23 c Which is the biggest value? (a) -1/2 (b) 4 (c) -1 (d) -5439 b Which is the fifth biggest value? (a) -4 (b) -1/5 (c) 1794 (d) 5 (e) 196/3 a What is the second biggest value in -2.42, 3, 2301? 3 Which is the second smallest value? (a) 0.0389 (b) -7/4 (c) 2 (d) 2.8 (e) 1/3 a What is the third biggest value in -6, 116044, 2, -0.1? -0.1 Which is the third smallest value? (a) 7 (b) 0.1 (c) -3/7 (d) -9552468 b What is the smallest value in 258907, 39, -1? -1 What is the smallest value in -0.1, -1, 0.08, -9/8, -7, -4? -7 Which is the biggest value? (a) 1.5331 (b) 2 (c) -3/16 (d) 1 (e) -0.3 (f) 0.1 b Which is the second smallest value? (a) -1/61 (b) 17 (c) 1 (d) -1/3 (e) 5 (f) -0.7 d What is the biggest value in -6038, 62, 19, -2/7? 62 Which is the fourth biggest value? (a) 3/815 (b) -0.1 (c) -185 (d) -2 (e) -3 e What is the biggest value in -2435, 0.42, 9? 9 Which is the sixth smallest value? (a) 5 (b) -3 (c) 3 (d) 117 (e) -289 (f) -2/39 d Which is the fourth smallest value? (a) -2/21 (b) -2/7 (c) -0.7 (d) -14 (e) -73772/7 (f) -4 c Which is the fourth smallest value? (a) 0.5 (b) 4 (c) -1/4 (d) -2/133 (e) -3 (f) 6/5 (g) 2/49 g What is the second biggest value in 0.3, -2/3, -1.4, -38, 0, 4, 0.1? 0.3 What is the second biggest value in -0.1, -2/3, -2/29, 10/11, -5, -0.3, -1/4? -2/29 Which is the second smallest value? (a) -5 (b) -3 (c) 56 (d) 0.0201 b What is the smallest value in -8, 4095, -259? -259 What is the second biggest value in 2, -2/29, 13/1916, -1/4, -16, 2/21? 2/21 What is the second biggest value in 4/7, -0.5, -0.3, -0.00697, 4, 13, 0.5? 4 What is the fourth biggest value in -58, 5, -305, 4, 3, -4? -4 What is the second smallest value in -7, -54, 1, 111855? -7 Which is the second biggest value? (a) -23 (b) -14/5 (c) -33030 a Which is the second smallest value? (a) 3 (b) -3/7 (c) 2164/3 (d) -43 (e) 0.03 b Which is the biggest value? (a) -0.24 (b) -659.35 (c) -3 a Which is the third biggest value? (a) 1/10 (b) -2989/97 (c) -0.1 (d) -5 d What is the third smallest value in -8, 3/53, -24, 3? 3/53 What is the second smallest value in -0.4, 34177, 112? 112 Which is the fourth biggest value? (a) -0.1 (b) -1 (c) -0.3 (d) 7 (e) 13/3 (f) -2 (g) 381 a What is the smallest value in 852/5, -8, 0.4, -0.4, -5, 4/11? -8 Which is the fifth smallest value? (a) -2 (b) -5 (c) 2 (d) 386 (e) 3/2 (f) -5/6 (g) 5 c What is the biggest value in 3/2, -0.2, -15, -3/2, -2/27, -542, -2/17? 3/2 What is the third smallest value in 2/5, -1/4, 1/366, -2610? 1/366 What is the second smallest value in -145, 13, 1, -1, -2/3, -18, -1/5? -18 Which is the smallest value? (a) -0.06 (b) -1 (c) 3 (d) 663588 b Which is the fourth smallest value? (a) 6 (b) -1/4 (c) -9 (d) -2151257 a What is the fifth biggest value in 10, -88, -2, -1, -5, 2.1? -5 What is the second biggest value in -137, 1, -1/2, 2, -13537? 1 What is the fourth smallest value in -0.3, -24625, -2.2, 0.2? 0.2 Which is the third biggest value? (a) 0.88 (b) 3 (c) -149 (d) -0.16 d What is the fourth smallest value in 2.7, -75, 1, -1/10, -1/11? 1 Which is the fifth biggest value? (a) -1/7 (b) -1 (c) -5.487 (d) 0.2 (e) 2 (f) -0.3 (g) -30 b Which is the third smallest value? (a) -0.1 (b) -0.4 (c) -1/4 (d) -3 (e) -73251 (f) 3 b What is the seventh biggest value in 78, -16, 6, -3/7, 0.2, -1, 34? -16 Which is the second biggest value? (a) -0.2 (b) -45 (c) 3 (d) 4 (e) -23 (f) 2/7 c Which is the second smallest value? (a) 711 (b) 26.1 (c) 1/7 (d) -1/2 (e) -4/25 e What is the third smallest value in 83, -2, -60, 0.3, -1, 2/17? -1 Which is the fourth biggest value? (a) -0.02 (b) -4/13 (c) -19 (d) -3.8 (e) -4 (f) 0.1 d Which is the sixth biggest value? (a) 159 (b) 0.28 (c) -4 (d) -32 (e) -1 (f) -0.1 (g) 3 c What is the fourth biggest value in 5, 3/2, -4/3, 8/5, 2, 0.18, -0.2? 3/2 Which is the biggest value? (a) -4 (b) -17/7 (c) 359 (d) 0.5 (e) 1 (f) 9 c Which is the fourth biggest value? (a) -6/7 (b) 0.4 (c) -0.1 (d) -409 (e) -0.2 (f) -21 (g) -1/35 e What is the fifth smallest value in -11, 18, -30, 1/2, -2? 18 Which is the fourth smallest value? (a) 0 (b) -12 (c) -2267 (d) -8 (e) 0.1 a Which is the fifth smallest value? (a) -4
{ "pile_set_name": "DM Mathematics" }
Let w = g + 1.865. What is the closest to -5 in 3, w, -0.5? -0.5 Let t be (2/30)/((-5)/(-10)). Let m be (-14)/30 - (-4)/(-24). Let a = m + t. What is the nearest to -2/3 in a, -0.2, 2? a Let z = -374 + 371. What is the closest to -0.3 in 2/7, 2/13, z, -4? 2/13 Let r(p) = p**2 - 13*p + 2. Let j be r(12). Let x = 11 + j. Let u = -5 - -5.4. What is the closest to -2/7 in x, u, -3? u Let n = 4.5 - 22.5. Let k = 21 + n. Suppose -6*j + 6 + 0 = 0. Which is the closest to -1? (a) k (b) j (c) -2/7 c Let l = 37.6 - 107. Let d = -69 - l. What is the closest to -1 in d, -0.5, -2/7? -0.5 Let p = 344.95 + -335. Let z = 10 - p. Let l = z + -0.35. What is the nearest to 0.1 in -4/3, l, 5? l Suppose -18 = -43*g + 68. What is the closest to 0.3 in 0.2, g, 3, 25? 0.2 Let p = -5053/12 + 421. What is the closest to 0.16 in 0.3, p, -5, -1? 0.3 Let o be (1/(-15))/(1/3). Let v = 0.28 + -0.18. What is the closest to o in 1/3, v, 3? v Let j be (-4)/(-6) - (2 - 1). Let y = -65.67 + -1.33. Let z = y + 66.5. Which is the nearest to 22? (a) z (b) 2 (c) j b Let f = -3/107 + 241/963. Which is the closest to 0? (a) -4 (b) f (c) -0.5 b Let r(s) = s - 6. Let i be r(5). Let n = 1.569 + -1.469. What is the closest to n in i, 3, 1? 1 Let t = -0.05 - -2.05. What is the nearest to 1 in t, 1/4, -2/13, 2/13? 1/4 Let t(i) = 21*i + 1076. Let p be t(-51). Which is the closest to 1/4? (a) -2/3 (b) 2/9 (c) -0.4 (d) p b Let j = 2031 + -2035. What is the closest to j in 5, 1, 19? 1 Let s = 3.5 + -4. Let w = -2.5 + s. Let i = -2.2 - -2.7. What is the closest to 1 in 2/3, w, i? 2/3 Let i = -0.191 - 6.809. What is the closest to -0.2 in i, 2/13, -5? 2/13 Let j = 12 - 6. Suppose 0 = j*b - 2*b. Let v = 53 + -52.9. What is the nearest to -0.3 in -3, b, v? b Let l = 0.185 - 0.12. Let t = l - -0.035. Which is the closest to t? (a) -2/57 (b) -3 (c) -4/5 a Let o = -42 - -4. Let g = o - -35. What is the nearest to 2 in -0.2, 0.5, g? 0.5 Let p = 45 + -137/3. Let u = 2.42 + 0.68. Let k = u - 3. What is the closest to k in -5, p, -4? p Let p be (7 - 9)*5 - -8. Let x be ((-40)/12)/((-4)/6). Let g be (-1)/x - (-14)/20. What is the closest to 6 in g, 0.3, p? g Let s = 3.92 + 0.98. Let b = 5.9 - s. What is the closest to b in -8, -0.2, -3? -0.2 Let p = 358/7 + -360/7. What is the nearest to -0.3 in p, 3, 2, 0.6? p Let y be (-4)/20 + (-24)/5. What is the nearest to -0.1 in y, -1, 3? -1 Let x be 9/(-3)*(-1)/(-6). Let z = -0.17 + 0.17. Which is the nearest to z? (a) -5 (b) x (c) 0.01 c Let w be (-18)/40 - 1/(-4). Let v = -1493/1980 + 2/495. What is the closest to w in 0.2, v, 0.4? 0.2 Let j = -995 + 995.13. What is the closest to -1 in -1/3, j, -2? -1/3 Let t = -8.1 + 3.1. Let p = 2 + t. What is the closest to 2/3 in p, 1, 0.1? 1 Suppose 4*a = -0*v - v + 189, -5*a - 3*v + 245 = 0. Let d = a + -228/5. Let c = 4945.9 + -4946. What is the nearest to d in -2/5, -4, c? c Suppose 69 - 37 = 16*q. Let j = 55/2 - 26. Which is the nearest to -4? (a) q (b) j (c) -3 c Let h = 238 - 347. Let m = 109 + h. Let s be (-2)/6 + (-15)/9. Which is the closest to -2? (a) m (b) s (c) 2 b Let i = 1449 - 1452. What is the nearest to 2 in 18/11, i, 2? 2 Let v = -14 + 14.08. Let a = 0.08 - v. Let b = -2928/11 + 266. What is the closest to -2/3 in -0.4, b, a? -0.4 Let n(q) = 11*q - 94. Let t be n(8). What is the closest to -2/5 in t, 0, 4? 0 Let s = 1.37 - 1.67. What is the closest to -1 in 1/2, 0.4, s? s Let m = 0.81 + 0.19. Let i = m + -0.8. Let s = i + -1.2. What is the nearest to 1/3 in s, 4, -2? s Let j = -62 + 312/5. Let l = -116 + 112. Let c be (6/2)/(-2 - -1). What is the closest to 0 in j, c, l? j Let i = 18 + -13. Let p be 17*66/187 - 100/17. What is the nearest to -1 in -1/3, i, p? -1/3 Suppose 4*b - 6*b + 10 = 3*f, -4 = -5*f + 3*b. What is the closest to -0.1 in 70, f, -0.2, 1? -0.2 Suppose 4*l - 3*l + 3*t - 14 = 0, 5*t - 15 = 0. Let o = -25/3 - -23/3. Which is the closest to o? (a) -0.2 (b) l (c) -4/7 c Suppose 7 = 4*i - 29. Suppose 2*t = v - 23, -2*t - v = 2*t + 61. Let l = i + t. Which is the nearest to 0? (a) -1 (b) l (c) 0 c Let g = -0.78 - -1.2. Let n = g + -39.42. Let v = n - -40. Which is the closest to 0.2? (a) -2/7 (b) -1/7 (c) v b Let m = 996 + -993. What is the nearest to -32 in 5, -0.2, 1, m? -0.2 Let o = 2355/380017 - 2/1969. Let r = o - -379/1351. Which is the closest to 3? (a) -3 (b) -5 (c) r c Let y = 1.4 + -1. Let q = -0.5513 - -0.4513. Which is the closest to 1? (a) -3 (b) y (c) q b Let s be (0 - -2)*(-4 - (-45)/18). Suppose -2*y + 2 = -0. What is the nearest to y in -0.1, s, 0.4? 0.4 Let f = 4.63 - -0.37. Let k = -4.5 + f. Let m = -0.08 - 0.02. What is the nearest to m in -10, k, 2/7? 2/7 Let g = -149/2 - -301/4. What is the closest to -0.06 in 4/5, -0.05, g, -0.3? -0.05 Let k = 382 - 383. Which is the closest to -1? (a) -0.152 (b) -1/3 (c) k c Let g = 32 - 56. Let z be 15/10*(g/45)/2. What is the nearest to 2/7 in 2/7, z, -0.1? 2/7 Let g = -0.4 - -3.4. Suppose 5*k = -m - 11, -2*k = -m + 3*m - 2. Let u be (-32)/(-18)*(-3)/(-4). What is the nearest to k in u, -2/13, g? -2/13 Let q be -2 + 3 + 246/(-238). Let f = 3/17 + q. Let d = -373 - -375. Which is the nearest to 1/4? (a) -0.1 (b) d (c) f c Let k(w) = w**2 + 24*w + 147. Let l be k(-13). What is the nearest to 0.2 in -2/7, l, -3? -2/7 Let d = 0.11 - -0.89. Let c = -9 + 0. Let n = c - -10. What is the nearest to n in -6, d, 3? d Suppose -x + 5*x = 0. Let y = -19/22 - -4/11. What is the nearest to 0 in -6, x, y? x Suppose 38*q - 91 = -53. Let s = -1 - -1. Let y = 14 - 9. Which is the nearest to -2? (a) y (b) s (c) q b Let x = 3 - 5. Let l = x - -2. Let h = 1/839 - -1661/14263. What is the nearest to l in h, 1/8, 3? h Let l = 513/5 - 103. Let f be (15/(-9) - -2)*-9. Which is the closest to l? (a) 5 (b) -5 (c) f c Let v = 74 - 73.7. Let p be 1/5 + ((-3048)/10)/(-6). What is the nearest to -0.1 in p, 2, v? v Let w = 93/5 - 269/15. What is the nearest to w in 1, -5, -0.6? 1 Let r = -1171 - -1171. Let l = 22 - 131/6. Which is the closest to r? (a) l (b) -2/7 (c) -5/3 a Let y = 2 + -4. Let j = 0.614 - -0.386. Which is the closest to j? (a) 5 (b) y (c) 0.5 c Suppose 27 = 3*u + 21. Let v be u/(-3) + 14/(-42). Which is the nearest to v? (a) 0 (b) -3 (c) 1/6 a Let w = 4.6 + -4.8. Let k = 17 + -29. Let f = -9 - k. Which is the nearest to w? (a) 1 (b) f (c) 0 c Let t = 0.041 - 26.041. Let n = -22 - t. Let x = -0.1 + 1.1. What is the nearest to x in -3, n, -5? n Let g = 2.2 + 0.8. Let h be (2/4)/(6/4). Let v = -0.319 - -0.619. What is the nearest to v in h, g, 0.3? 0.3 Let r be ((-59)/236)/((-5)/(-8)). Which is the nearest to r? (a) -0.3 (b) -5 (c) -24 a Let m = -0.1 + 5.1. Let v = 8/37 - -5/148. Which is the closest to -1/4? (a) m (b) v (c) 1/7 c Let t = -3 + 0. Let a(q) = q. Let u be a(t). Suppose k = -3*y + 10, -1 - 5 = 3*y - 3*k. What is the closest to 2 in u, y, 0.3? y Let l = 22/5 - 4. Suppose -26 = -3*s - 4*p + 12, -s + 5*p = 19. Let n be (-7)/(-9)*s/(-21). Which is the closest to n? (a) l (b) -0.1 (c) 3 b Let c = 14.53 + 806.47. Let q = -817.21 + c. Let x = q + 0.21. What is the closest to 1 in x, 7, 5? x Suppose 5 = -5*v, -4*g - v = -2*g - 1. Let i = 0.3 - -3.7. Suppose 2*t = 0, -6*p + 9*p = -2*t - 15. What is the nearest to g in p, 4/9, i? 4/9 Let s = 0.1105 - 0.1105. Which is the nearest to 2? (a) 1 (b) -1/13 (c) s (d) -0.3 a Let q be ((-2)/3)/(12/(-72)). Suppose -7*g + 12 = -q*g. Suppose d + 0 = -g. What is the closest to 0 in d, -0.4, -3/7? -0.4 Let n = 1250/21 - 179/3. Which is the nearest to -2/7? (a) -2 (b) -0.42 (c) -0.5 (d) n b Suppose -i + 43 + 92 = 0. Let u be 4*(i/100)/(-9). Which is the closest to 2? (a) 1/5 (b) u (c) 4 a Let x be (2/5)/(14/10). Suppose -53*s = 41*s - 100*s. What is the closest to s in -3, -4, x? x Let m be (-3)/(-30)*108/28. Let l = m - 2/7. What is the nearest to l in -0.4, -4, 2? -0.4 Let f = 144.8 + -143. Which is the nearest to -2/5? (a) 2 (b) 0.4 (c) f b Let z = 2857/136 - 169/8. Which is the closest to 14? (a) z (b) -1/4 (c) 4 (d) -2 c Let a be (-5)/(-2)*(-44)/(-66). What is the nearest to 2 in -5, 4, a, -2/5? a Let h = -0.1383 - 0.0617. What is the nearest to -2/5 in -2, 0.3, h? h Let l = 44 - 222/5. Let u = -9587 + 9588. What is
{ "pile_set_name": "DM Mathematics" }
. Let z be o(7). Calculate w(z). -2 Let m = 156 + -143. Suppose 3*d + 2*d + 2*j = m, 5 = -5*j. Let c(t) = 2*t**2 - 3*t + 6*t + 4 - 4*t**2. Give c(d). -5 Let l = -7 + -5. Let r(x) be the third derivative of -x**4/24 - 13*x**3/6 - 10*x**2. Determine r(l). -1 Let l(w) = w**2 - 13*w + 6. Let y be l(13). Let d(h) = y*h + 3*h + 1 + 3*h + 0*h. Calculate d(-1). -11 Let t(n) = 6*n**3 - n**2 + n - 1. Let i = 1 + -1. Suppose 0 = -8*m + 11*m - 3. Suppose 2*c + 4*k - 1 - 13 = i, k + m = 4*c. What is t(c)? 5 Suppose -r + 4*a + 22 = 0, 0*r = -5*r - 3*a + 18. Let k = r + -4. Let h(p) = 6*p**2 - 2*p**k - p**3 + 0*p**3 + 3 - 3*p + 0*p. What is h(3)? 3 Let d(q) = 11*q**3 - 35*q**2 + 39*q + 21. Let z(w) = -4*w**3 + 12*w**2 - 14*w - 7. Let v(f) = 3*d(f) + 8*z(f). Calculate v(8). -17 Let q(r) = -r**3 + 5*r**2 + r - 2. Suppose 2*x + 0 - 2 = 0. Let k be (-6)/(-18)*(x + 5). Suppose 3*u + 6 - 37 = -4*y, -k*y + 13 = u. Determine q(u). 3 Suppose -100 = -5*j - 4*r, 3*j + 5*r - 59 = 14. Let o(k) = -k - 7*k**2 + 6*k + k**3 + j - 15. Calculate o(6). -5 Let a(c) be the third derivative of -1/6*c**4 - 5/6*c**3 + 0*c + 1/60*c**5 + 0 + 12*c**2. What is a(6)? 7 Let a(v) = -v**2 - 2*v - 2. Suppose -3*n + 5*n - 4 = 0, 2*l - 14 = -4*n. Let y(j) = j**2 + 3. Let c be y(0). Suppose -2*m + c*m = -l. Determine a(m). -5 Let y(v) = v**3 - 358*v**2 + 717*v**2 - 12*v - 370*v**2. Let j(f) = 13*f**2 - 1. Let p be j(1). What is y(p)? 0 Suppose 16 = 4*x - 4*o, -5*x + 0*o = 2*o - 27. Let m(z) = -2*z - 5*z - 13 + x*z + z. Let v = 2 + -8. Give m(v). -7 Let n be (-30)/6*2*-1. Let y = n + -13. Let x be 0 - (5 + y) - 4. Let p(g) = -g**3 - 7*g**2 - 8*g - 5. Give p(x). 7 Suppose 0 = -a - 3 + 7. Let r(h) be the first derivative of h**4/12 - 2*h**3/3 - 2*h**2 - 9*h + 9. Let v(g) be the first derivative of r(g). What is v(a)? -4 Let h(z) = -3*z - 5. Let l(q) = -q**2 + 6*q - 5. Let i be l(5). Determine h(i). -5 Suppose 0 = -5*n - 22 - 8. Let a be ((-68)/51)/(8/n). Let g(t) = 5*t - 1. Give g(a). 4 Let y(d) = 2*d**2 + 16*d + 2. Let p be y(-19). Let q(s) = -9*s**2 + s**3 - p + 2*s + 430 - 3*s. Give q(9). 1 Let j be (15/(-25))/(4/(-40)). Let p(c) = c**2 - 2*c - 8. Calculate p(j). 16 Let d(h) = 115*h**3 - 3*h**2 - 4*h - 7. Let o(q) = -326*q**3 + 9*q**2 + 12*q + 20. Let m(z) = -17*d(z) - 6*o(z). Suppose -3*i = -3 - 9. What is m(i)? -1 Suppose 0 = -5*k - 5*x, -4*k + 0*x - 2*x + 8 = 0. Let l(r) = -12*r + 39. What is l(k)? -9 Let k(u) = -2*u**2 + u - 1. Let m(n) = -5*n**2 + 6*n - 4. Let z(w) = 3*k(w) - m(w). What is z(1)? -3 Let c be 3 + (-27)/(-9) + -1*5. Let k(z) = -2*z**3 - z. Calculate k(c). -3 Let a be (2/(-3))/(8/(-12)). Let d be 21/12 + a/4. Let s(y) = 2*y - y**2 - 5*y**d + y**2 - 1 + 0*y**2. What is s(1)? -4 Suppose -38*h + 149 = 35. Let x(c) be the first derivative of c - 1 - 1/3*c**h - c**2. What is x(2)? -7 Let s(m) = 92 - 182 + 92 + 8*m. Calculate s(2). 18 Let k(f) be the first derivative of f**4/4 + 4*f**3/3 + f**2/2 + 2. Let r be 12/5 - (-4)/(-10). Suppose -5*v - x = 25, r*v + 5*x + 33 = -0*v. Determine k(v). -4 Let z = 56 - 46. Let r be 3/((-3)/(-3) + 2). Let u be ((-8)/20)/(r/z). Let v(x) = x**3 + 5*x**2 + 5*x + 6. Calculate v(u). 2 Let h(c) be the second derivative of -c**4/12 - 2*c**3/3 - 2*c**2 - 2*c. Suppose 3*f - 3*a = 0, -2*a = 2*f + 2*a - 30. Suppose 5 = -f*q - 10. Calculate h(q). -1 Let g(b) = 15*b - 15. Let i(h) = 3*h - 9. Let d be i(-5). Let l(n) = 3*n - 3. Let w(s) = d*l(s) + 5*g(s). What is w(3)? 6 Suppose -15*b + 408 = -40*b - 43*b. Let q(x) = -5 - x + 0*x + 1. Determine q(b). 2 Let q(f) be the third derivative of 0*f**3 + 17*f**2 - 1/24*f**4 - 7/60*f**5 + 0 + 0*f. Let i = 1 - 0. Determine q(i). -8 Suppose -2*l = -4*j, -3*j - l = 10 - 0. Let q be (-30)/6 - -11 - (0 - -2). Let k(r) = -q*r**2 + 2 - 8*r**3 + 18*r**3 - 9*r**3 - 2*r. Give k(j). -18 Suppose 0 = 7*v - 10*v + 12. Suppose 8 = 5*s - 7. Let a(p) = p**3 + 6 - 4*p + p - s*p - 3*p**2. Determine a(v). -2 Let k(g) = -5*g - 55 + g**2 - 51 + 105. Determine k(-4). 35 Suppose 42 = 5*p - 2*z - 223, -3*p - 2*z = -143. Let x(j) = 3*j**2 + p - 21 + 2*j**2 - 2*j + j**3 - 29. What is x(-5)? 11 Let a(v) = -5*v**2 + 15*v - 4. Let f be a(2). Let n(o) = -o**2 + 3*o + 12. Calculate n(f). -6 Let h(f) be the third derivative of -f**7/840 - f**6/360 - f**4/6 + 17*f**3/6 - 15*f**2. Let g(t) be the first derivative of h(t). Calculate g(0). -4 Let y(v) = -v**3 - 4*v**2 + 3*v + 6. Suppose 4*q + 10 = 2*g, q = 3*g - 5*g - 10. Determine y(q). -6 Suppose 2*m = 3*m - 14. Let p = m - 1. Let h(q) = -p - 10*q + q + 12. Determine h(-1). 8 Let n(w) = -w**3 - 7*w**2 - 4. Suppose -4*j + 8 - 32 = -4*i, -4*i = -j - 3. Calculate n(j). -4 Let x(h) = 17*h + 7*h + 17*h - 6 - 36*h + h**2. Give x(-6). 0 Let u = -107 - -111. Let b(x) = -x**3 + 4*x**2 + 4*x - 5. Give b(u). 11 Let h(x) = -x**3 + 11*x**2 + 11*x + 18. Let k(i) = i**3 - 13*i**2 - 28*i - 18. Let a be k(15). Determine h(a). 6 Let c(i) = 3*i**2 - 7*i - 6. Let x(a) = a**2 - a. Suppose -77*h + 72*h + 20 = 0. Let g(t) = h*x(t) - c(t). Determine g(-5). 16 Suppose d - 68 = -3*a, 4*a + 2*d = -a + 115. Let y = -14 + a. Let h(p) = -4*p**2 - 1 + y*p**3 - 14*p**3 + 8*p**3 + p. Give h(4). 3 Let x(h) be the second derivative of -h**3/3 - 25*h**2 - 47*h - 5. Calculate x(-27). 4 Suppose 22 = 4*w - 30. Suppose -2*o + 16 = 2*u, -2*o + w + 18 = 5*u. Let s(c) = c + 1. Calculate s(o). 4 Let k(i) = 9*i + 15. Let m(d) = 5*d + 8. Let j(o) = 6*k(o) - 11*m(o). What is j(5)? -3 Let t = 428 + 50. Let p(f) = 477*f**3 - f**2 - t*f**3 - 3*f**2 + 2*f + 1. Give p(-2). -11 Let r(m) = 12*m - 102. Let z be r(9). Let u(y) = -y**2 + 6*y - 8. Determine u(z). -8 Let l(w) = w - 17. Let d be 196/(-35) - 35/25. Give l(d). -24 Let q(z) = z + 9. Let l be (-1 - 12/(-3)) + (-68)/(-2). Suppose -2*i = -5*v - 0*i - l, 5 = 5*i. What is q(v)? 2 Let v(g) = 5*g**2 + 8*g + 3. Let j(a) = a**2 + a. Let u(r) = 4*j(r) - v(r). Let z = -268 - -264. Give u(z). -3 Let k(h) = 124*h**2 + 4*h + 118*h**2 + 118*h**2 - 361*h**2 + 2. Calculate k(7). -19 Let c(x) = -x**3 + 10*x**2 - 9*x + 1. Suppose -20*h + 18*h + 18 = 0. Give c(h). 1 Let q(p) be the second derivative of p**3/2 - p**2 + 6*p. Let z(f) = -16*f + 9. Let j(g) = 11*q(g) + 2*z(g). Determine j(7). 3 Let x(g) = 2*g**2 + 2*g + 9. Let y(w) = -w**2 + 5*w - 4. Let m(n) = -n**2 + 6*n - 4. Let k(z) = 6*m(z) - 7*y(z). Let h(b) = -7*k(b) + 3*x(b). Give h(-1). -1 Let w(o) be the first derivative of o**6/360 - o**5/24 - o**4/24 - 4*o**3/3 - 6. Let y(h) be the third derivative of w(h). What is y(4)? -5 Let l be (42/15)/((-4)/(-10)). Suppose -d = -l*d + 12. Let i(k) = -17*k**d + 8*k**2 + 5*k + 8*k**2 - 7. What is i(5)? -7 Let u(c) = 8*c**2 + 8*c - 13. Let w(o) = 2*o**2 + 2*o - 3. Let v(b) = -2*u(b) + 9*w(b). Let s be ((-10)/15)/2*9. Calculate v(s). 11 Let x(c) = -2*c**2 - 39*c - 1. Let f(a) = a**2 + 20*a - 1. Let d(l) = -7*f(l) - 4*x(l). Give d(-9). -52 Let p(x) = -8*x - 86. Let h be p(-11). Let r(m) be the second derivative of m - m**2 + 1/2*m**3 - 1/12*m**4 + 0. Calculate r(h). 0 Let p(l) = 2*l**3 + 6*l**2 + 13*l + 15. Let s(j) = j**3 + 3*j**2 + 7*j + 8. Let b(x) = 6*p(x) - 11*s(x). What is b(-4)? -18 Let u(x) be the first derivative of x**3/3 + x**2/2 - 23*x - 211. What is u(0)? -23 Let y(g) = 53*g + 2*g**2 + 0 - 4 - 57*g - 14*g**2 + 2. Give y(-2). -42 Suppose 0 = -7*p + 2*p - d + 4616, p - 2*d - 932 = 0. Let f(n) = -1 + 921*n - p*n - 5. What is f(-8)? 18 Let i be (2/(-3))/(1/(-3)). Suppose 2 = -o - i*o + h, 0 = -4*o - 2*h + 14. Let y(z) be the second derivative of -4*z**3/3 + z**2/2 + 23*z. Give y(o). -7 Let w(h) = -h**2 + 2*h - 3. Suppose 4*f - 2*q = -18, -4*f + f = -q + 13. Let s be (6*5/(-20))/(f/(-8)). Calculate w(s). -18 Let n(f) = -f + 10. Suppose 0 = -2*k - 3*b + 16, b + 0 = -k + 7. Suppose -8*j + k*j = -54. Suppose -3*h = -2*g + 11, j = 2*g + 3*h + h. Calculate n(g). 3 Let t(b) = -2*b**2 + 4*b - 11. Let p(r) = 0*r**2 - 20 - r + 13*r - 12 - 5*r**2. Let n(y) = 3*p(y) - 8*t(y). Let q = 13 - 19. Determine n(q). 4 Suppose 2*b = -5*u - 3*b, -5*u = 3*b - 4. Let k be -1 - -3 - u - -13. Let j = k - 10. Let w(a) = a**3 - 2*a**2 - a + 2. What is w(j)? 8 Let t = 153 + -151. Let q(d) be the first derivative of -4 - 1/2*d**t - 2*d. Calculate q(2). -4 Let i(q) = -q**3 - 4*q**2 + q + 2. Let g = -194 - -190. What is i(g)? -2 Let f(a) = 3*a
{ "pile_set_name": "DM Mathematics" }
r*w**2 + g*w and give r. 2190 Rearrange (16*c**2 - 6*c**2 + 14*c**2)*(3 - 3 + 1) to u*c + h*c**2 + v and give h. 24 Rearrange 10*u - 21*u - 15 + 6*u - 1 to y + h*u and give y. -16 Express -384*n - 203*n - 195*n + 109*n as f*n + p and give f. -673 Rearrange -2*p**2 + 1 + 23031*p**3 - 23032*p**3 + p**2 + 78*p + 2*p**4 to u*p + j*p**3 + w + t*p**2 + k*p**4 and give u. 78 Rearrange 75*s + 3 + 66*s - 3 - 360*s to the form h*s + j and give h. -219 Rearrange -45*u + 11*u + 5 + 2*u + 1 - 30*u to f + o*u and give o. -62 Rearrange 31*j + 45*j - 126*j - 171*j to the form p + k*j and give k. -221 Rearrange (-152*i + 18*i**2 + 152*i)*(25*i - 5*i**2 - 25*i) to f*i**3 + r*i**4 + k + l*i + t*i**2 and give r. -90 Rearrange 1 - 1 - 1404*g + 1090*g to the form z*g + n and give z. -314 Express d - 8*d - 2 - 3*d + 4*d as x*d + t and give t. -2 Rearrange -2*a**3 + 2*a**3 + a**3 + 15*a**3 + 20*a**3 - 7*a**3 + (-6*a**3 + 3*a**3 + a**3)*(-2 + 3 - 4) to the form j*a**3 + p*a**2 + r + u*a and give j. 35 Rearrange -18*j**3 - 4*j**2 + 47 - 91 + 3*j + 4*j**2 + 42 to o*j**3 + q*j + z + t*j**2 and give o. -18 Express -2*u + 4*u - 3*u + (3*u - 2*u - 2*u)*(7 - 7 + 11)*(-3 + 2 - 1) in the form y*u + l and give y. 21 Rearrange r**2 + 2*r**2 + 253*r**3 - 7*r**2 + 3*r + 4*r**2 to the form b*r**2 + k*r + l + c*r**3 and give k. 3 Rearrange (0 + 0 + a)*(-1 - 1 + 7)*(-1 - 2*a + 0 + 3) to x*a + t*a**2 + r and give t. -10 Express 105*o**2 + 201*o**2 + 706*o**2 + 2*o in the form t*o + i + l*o**2 and give t. 2 Express (-76 + 27 + 22 + 180*b + 27)*(2 + 1 - 2) in the form u + o*b and give o. 180 Rearrange 183 - 182 + 0*y**2 + 246*y**3 + 8*y**3 + y**2 + 0*y**2 to the form f*y + p*y**2 + j + z*y**3 and give p. 1 Rearrange (0 - 1 + 0)*(1733*z - 627 + 29*z + 625) to n + v*z and give n. 2 Express 6 - 2 + 9*b**3 + 1 - 2 - 20*b + 11*b in the form c*b**2 + w*b + a + l*b**3 and give a. 3 Express 10 - 4*w - 10 - 2*w - w + 4*w + (0 - 4 + 1)*(4*w + 5 - 5) in the form c + l*w and give l. -15 Express (4 - 3 + 1)*(-t + 3*t + 0*t) - 83*t + 43*t + 48*t as i + v*t and give v. 12 Rearrange -14*f**2 + 12*f**2 - 29 - 21*f**4 + 31 + f to b*f**2 + l*f**3 + g*f**4 + s*f + t and give g. -21 Express 1 + 28*i**2 - 31*i**2 - 25*i**2 - 1 as n*i**2 + t*i + q and give n. -28 Rearrange -250*u + 409*u - 1524*u**2 - 157*u to m*u**2 + t + q*u and give q. 2 Express 79*g**2 - 157*g**2 + 2*g**3 - 14 + 3 + 80*g**2 in the form f*g + b*g**2 + m + q*g**3 and give m. -11 Rearrange (2 - 1 + 1)*(98 + 37*r**2 - 98)*(3*r**2 - 7*r**2 + 2*r**2) to the form m + g*r**3 + w*r**4 + q*r**2 + c*r and give w. -148 Express 179*r**2 - 4 - 6 - 178*r**2 + 9*r in the form i*r + l + f*r**2 and give f. 1 Rearrange 2*f - 4*f + 3*f - 26*f + 10*f - 10*f + (f + 0*f - 2*f)*(0 - 3 - 1) - f + 4 - 4 to z + h*f and give h. -22 Rearrange (-x + 4 - 4)*(1 + 1 - 3)*(-24*x - 7*x - 15*x) to the form b*x + i + r*x**2 and give r. -46 Express 103*y - 46*y + 3 - 43*y + (-8*y - 10 + 10)*(-1 + 3 - 3) in the form k*y + m and give m. 3 Rearrange 52*z - 3 - 14 - 49*z to the form b + h*z and give h. 3 Express 14 - w + 12 - 22 + 17*w in the form o*w + r and give o. 16 Express 11 + 2696*c**2 + 27 + 33 - 71 as j + n*c + q*c**2 and give q. 2696 Rearrange -60*i**2 - 33*i**2 + 20*i**2 - 5*i**2 + (0 - 2 + 1)*(-7*i**2 + 3*i**2 + 2*i**2) + 4*i**2 - i**2 + 0*i**2 to the form p + u*i**2 + h*i and give h. 0 Rearrange (-2 + 7 + 1)*(1 - 1 + u**4) - 14*u**4 + 145*u**4 - 14*u**4 to t + k*u**4 + b*u + z*u**3 + h*u**2 and give k. 123 Express x**3 + 1563 - 1562 + 10*x + x**3 as v*x**3 + d*x + i + u*x**2 and give v. 2 Express 2*x**4 - x + x + (3*x**3 - 5*x**3 + 4*x**3)*(-7*x + 2*x - 2*x) + x**4 + 2*x - 3*x**4 - 5*x as b*x**3 + s*x**4 + w*x**2 + r + v*x and give s. -14 Express (-8*s - 6*s + 9*s)*(-4*s - s + 4*s)*((2 + 3 - 4)*(-s - 4 + 4) + 2*s - 5*s - 8*s) as c*s**2 + d*s**3 + j + m*s and give d. -60 Express -18*l**4 - 3*l**2 + 259*l**3 + 13*l**4 - 256*l**3 + 1 as h*l + j + c*l**4 + n*l**3 + q*l**2 and give q. -3 Express (-2*a + 6*a - 2*a)*(-5*a + 4 + 7 - 8)*((1 + 0 - 2)*(0 - a + 0) - 34*a + 184 - 184) in the form i + j*a**2 + n*a + d*a**3 and give j. -198 Rearrange (1 - 1 + b + 1)*(2970 - 1907 + 1483) to the form g*b + z and give z. 2546 Rearrange (8 + 1691*f - 3405*f + 1652*f)*(-3*f + 4*f + f) to z*f + q + c*f**2 and give c. -124 Express (q - 2*q**4 - q)*(278 + 6 + 125) in the form f*q**2 + g*q**4 + p*q**3 + w + v*q and give g. -818 Express (-538*g - 532*g + 154*g)*(-2 - 2 + 3 + (2 + 0 - 3)*(-1 + 0 + 3) + 1 + 0 - 3 + 1 - 1 - 2 - 1 + 1 - 2 + 0 + 0 + 1 - 4 - 3 + 6) as o + c*g and give c. 8244 Rearrange (0 + 1 + 1)*(-1265*j + 1570*j - 6*j**2 + 13*j**2) to b + w*j**2 + t*j and give w. 14 Express 8590 - 8590 - 6*v**2 + v**3 - 10*v**3 - 3*v in the form b*v**2 + w*v**3 + n*v + f and give w. -9 Express (-7*w - 10*w + 0*w)*(-23 - 127 + 116 - 124) as q + c*w and give c. 2686 Rearrange -3696 - 25*a**2 + 3696 + (5 + a - 5)*(-9 + 6*a + 9) to k + c*a**2 + j*a and give c. -19 Express -10 - 30*q**4 - 33 - 8*q + 31*q**4 - 2*q**2 + 4*q + 0 as p*q**4 + m + z*q**3 + y*q**2 + i*q and give i. -4 Express (-8 + 8 - 5*m)*(2 - 2 + 2*m)*(554 - 278 - 207) as d*m + n + b*m**2 and give d. 0 Rearrange -c**2 - 2*c**2 + c**2 + (-5*c + 6*c + c)*(15 + 6 - 2)*(0 + 0 + c) to the form q*c**2 + t*c + a and give q. 36 Express 3*f + 0*f - f + 4*f - 4*f - 2*f + (-1 + 0 + 2)*(-3*f + 0*f + 2*f) + 41*f + 85402 - 85402 in the form c*f + d and give c. 40 Rearrange (4*k - 4*k - 2*k)*((-59 + 40 + 81)*(-6 + 3 + 4) + 3 + 0 - 5) to t*k + c and give t. -120 Rearrange (-25 + 13 - 36)*(-3*k + 3*k - 2*k**2)*(0 - 10 + 2) to the form c*k**2 + a*k + v and give c. -768 Express (3*y - 2*y + y + (-15*y + 7*y - 17*y)*(7 - 2 - 2))*(4 - y - 2 - 5)*(-3*y**2 + 3*y**2 - y**2) in the form m*y**2 + s*y**4 + j*y + g + p*y**3 and give p. -219 Rearrange (-2*p + p - 2 - 2*p)*(32 - 45 - 76)*(-1 + 2 - 4)*(-3 + 1 + 0) to s + l*p and give l. 1602 Express 2*a + a**2 + 4*a**4 + 2*a**3 + 3*a**2 - 5*a**2 - 3*a - 4 + 5 in the form b + d*a + y*a**3 + j*a**2 + o*a**4 and give b. 1 Express 238*a + 61*a + 90*a + 450*a as b + l*a and give l. 839 Express -29 + 8 - 352*l + 707*l - 354*l + 2*l**2 in the form p + d*l + j*l**2 and give p. -21 Express (-3*q**2 - q**2 - 2*q**2)*(15*q - 145 + 15*q + 147) in the form w*q**2 + i*q**3 + l*q + a and give w. -12 Express -4151 + 4151 - 81*a in the form d*a + p and give d. -81 Rearrange 0*v**3 + 4 - v - v**3 + 2*v**2 + v**4 + 2*v**4 - 9 to the form h*v**2 + q*v + t + x*v**3 + c*v**4 and give q. -1 Rearrange -61 - 15*q - 69 + 0*q + 127 to a*q + m and give a. -15 Rearrange (0 - 1 - 2)*(m + 2*m - 4*m + (-2*m + 1 + m + 1)*(-1 - 7 + 6)) to the form f*m + j and give f. -3 Rearrange -6*p**2 + 3*p**3 - 2*p**4 + 0*p**2 - p**3 + 1 - 4*p**3 to the form g + a*p**3 + h*p + r*p**4 + l*p**2 and give g. 1 Rearrange -1 - t**2 - 15*t**3 + 28*t**4 - 25*t**4 + 13*t**3 to u*t**2 + j*t + b*t**3 + x*t**4 + n and give n. -1 Rearrange -24*p + 24*p - 2*p**2 + (5*p + 9 - 9)*(p + p + 0*p) + 0*p**2 - 2*p**2 + 3*p**2 to r*p + l + x*p**2 and give x. 9 Rearrange ((2 + n - 2)*(6 - 3 - 2) + 2*n + 0*n - n + (5 + 0 - 4)*(22*n + n - 6*n))*(7*n + 0*n + 4*n) to k*n**2 + t*n + s and give k. 209 Express (6*o - 234*o**2 + 24*o**2 - 6*o)*(-2*o**2 + o**2 + 2*o**2) as y*o + c*o**4 + f + h*o**2 + j*o**3 and give y. 0 Rearrange 4*v - v - 5*v + (10 - 5*v - 10)*(-10 + 0 + 4) + 2 + v - 2 + 0*v + 2*v - 4*v + (-4 + 4 - 2*v)*(-5 + 3 + 0) - 2*v + v + 2*v to s*v + k and give s. 32 Express (4 - 3 + 2)*(-1146*l - 134*l - 352*l) as g + n*l and give n. -4896 Express (2*b + b + 0*b)*(-3 + 3 + b) + 6*b**2 - 30*b**2 + 22*b**2 - 42 + 2*b in the form p*b**2 + x*b + a and give x. 2 Express -1367*h + 664*h - 732*h in the form w + u*h and give u. -1435 Rearrange -9 + 1 + 2 - 162*f + 5 - 27*f to j*f + p and give p. -1 Rearrange 14*z**3 + 2*z**2 + 19*z**4 - 5*z**3 + 3 - 15*z**4 to the form u + a*z**3 + j*z**4 + g*z**2 + y*z and give a. 9 Express (-3 + 4 + 3)*(0 + 5*a**2 + 0)*(-3*a**2 + 3*a**2 - a**2) in the form i*a**2 + b*a**3 + v*a**4 + l*a + p and give b. 0 Rearrange -15*k - 30 + 4*k**2 - 3*k**2 - 6*k**2 + 68 - 39 + k**3 to x + y*k + d*k**3 + q*k**2 and give x. -1 Express 3629*b - 3628*b + 2 + 1 + 3 in the form z*b + q and give q. 6 Express (43 - 42 + 3*z - z)*(z - z - z + (-4 + 1 + 0)*(5*z + 0*z - 3*z)) i
{ "pile_set_name": "DM Mathematics" }
*2 + 570*x - 9. Determine n(4). 95 Let z(m) = -102*m - 595. Determine z(-19). 1343 Let v(x) = 2052*x - 43132. Give v(21). -40 Let m(h) = -h**3 - 20*h**2 - 1878*h - 33897. Determine m(-18). -741 Let q(y) = y**3 + 64*y**2 + 633*y + 45370. What is q(-65)? 0 Let g(l) = -2037*l + 27799. What is g(14)? -719 Let l(v) = 15059*v - 225881. Determine l(15). 4 Let b(w) = 112*w**3 + 3694*w**2 - 64*w + 43. What is b(-33)? -23 Let f(c) = -5*c**2 - 276*c + 3072. What is f(11)? -569 Let o(m) = -m**2 - 285*m - 19248. Determine o(-158). 818 Let n(f) = -f**3 + 66*f**2 - 2500*f + 41375. Calculate n(29). -8 Let a(g) = 46*g + 11954. Determine a(-256). 178 Let u(x) = -2*x**3 + 30*x**2 + 47*x - 718. Determine u(15). -13 Let r(z) = 23*z**2 + 628*z + 787. Calculate r(-26). 7 Let l(y) = -57*y**3 - 20*y**2 - 8*y - 27. Give l(-2). 365 Let h(d) = -8622*d + 336252. What is h(39)? -6 Let i(u) = 4826*u - 19362. Determine i(4). -58 Let m(h) = h**3 + 100*h**2 + 2278*h - 169. Give m(-65). -364 Let h(w) = -19*w**3 - 4*w**2 - 21*w + 44. Calculate h(2). -166 Let q(z) = -471600*z - 7074002. What is q(-15)? -2 Let i(y) = 1267044*y + 7602270. Determine i(-6). 6 Let h(s) = -934*s - 164627. What is h(-176)? -243 Let c(g) = -1022*g - 14629. Determine c(-12). -2365 Let f(u) = u**3 + 103*u**2 - 228*u - 1828. Give f(-105). 62 Let g(u) = -873*u - 9594. What is g(-11)? 9 Let r(h) = h**3 + 301*h**2 + 3187*h - 652. Calculate r(-290). 218 Let u(o) = -82*o**2 + 2*o + 1. What is u(3)? -731 Let i(v) = -50940*v - 254673. Give i(-5). 27 Let m(t) = 50*t**2 + 6651*t - 20272. Determine m(-136). -8 Let c(w) = w**3 + 157*w**2 + 1618*w + 1758. Determine c(-146). 6 Let i(y) = y**2 + 22088*y - 110421. Determine i(5). 44 Let w(o) = 2*o**2 + 257*o + 6958. Determine w(-39). -23 Let g(a) = -22676*a + 68033. Determine g(3). 5 Let v(d) = -2*d**2 - 37503*d - 374985. What is v(-10)? -155 Let s(k) = 2*k**3 - 29*k**2 - 264*k - 9. What is s(16)? -3465 Let b(i) = -224*i**3 + 13*i**2 - 7*i - 29. What is b(2)? -1783 Let u(z) = -34*z**3 - 3*z**2 - 12775*z + 12776. Determine u(1). -36 Let h(z) = -30*z**2 + 39*z - 135. What is h(5)? -690 Let g(q) = 4*q**2 - 2792*q + 30247. Calculate g(11). 19 Let v(i) = i**2 + 59919*i + 479289. What is v(-8)? 1 Let k(l) = l**3 + 33*l**2 - 114*l - 1851. Give k(-6). -195 Let q(z) = 1042*z**3 + 11464*z**2 + 35*z + 127. Give q(-11). -16 Let k(b) = -2*b**2 - 17356*b + 34711. What is k(2)? -9 Let r(c) = 71892*c - 143757. What is r(2)? 27 Let x(w) = -537*w - 4534. What is x(-8)? -238 Let b(c) = 6283*c + 18853. What is b(-3)? 4 Let z(v) = -27*v - 10185. Determine z(-379). 48 Let j(t) = 8*t**2 + 6344*t - 4049583. What is j(418)? 1 Let x(s) = 3986*s - 3936. Determine x(1). 50 Let a(l) = 47*l**3 - 13*l**2 - 31*l + 101. Give a(2). 363 Let u(k) = -7*k**2 + 1034*k + 1077. What is u(150)? -1323 Let r(p) = 4*p**2 - 522*p - 70901. Give r(-83). -19 Let z(h) = -5*h**3 - 18*h**2 + 4300*h - 8509. What is z(2)? -21 Let h(f) = 350*f + 4145. What is h(-9)? 995 Let y(h) = -24*h**2 + 59*h + 37. Determine y(10). -1773 Let i(j) = -2*j**3 - 53*j**2 - 163*j - 1754. Give i(-24). -722 Let n(f) = -17889*f - 1592133. Calculate n(-89). -12 Let t(f) = -3546*f**2 - 645371*f + 198. Calculate t(-182). 16 Let i(j) = -j**3 + 90*j**2 - 824*j - 562. What is i(11)? -67 Let r(k) = -k**3 - 211*k**2 - 7923*k + 2606. Give r(-162). 176 Let n(w) = 6*w**3 - 1663*w**2 + 8267*w - 18. Determine n(5). 492 Let p(n) = 2*n**3 - 209*n**2 - 274*n + 39395. What is p(104)? 83 Let i(j) = -34*j**2 + 177*j - 119. Give i(5). -84 Let h(f) = 20154*f - 241338. Give h(12). 510 Let w(k) = 9106*k + 2340371. Calculate w(-257). 129 Let s(j) = -13*j**2 - 41*j + 11. Determine s(-3). 17 Let i(h) = h**3 - 7*h**2 - 408*h - 17. Determine i(-17). -17 Let z(d) = 18104*d + 19842000. Give z(-1096). 16 Let j(d) = -d**3 + 16*d**2 - 199*d + 3000. Give j(16). -184 Let r(v) = v**3 - 5*v**2 + 4985*v + 29891. What is r(-6)? -415 Let y(n) = -2*n**2 - 793*n - 37533. Give y(-55). 32 Let y(d) = 2*d**3 - 332*d**2 - 212*d - 20383. Calculate y(167). -9 Let s(l) = 37745*l + 528167. What is s(-14)? -263 Let l(z) = z**2 - 249*z + 11039. What is l(57)? 95 Let j(u) = u**3 + 15*u**2 - 246984*u - 3211116. Give j(-13). 14 Let z(d) = -24*d**2 + 441*d - 1915. What is z(7)? -4 Let j(c) = -5*c**3 + 130*c**2 + 3665*c - 435. What is j(43)? -5 Let g(s) = -2*s**3 - 21*s**2 - 24*s + 68. What is g(-9)? 41 Let o(t) = 4941*t + 172808. What is o(-35)? -127 Let g(d) = 2948219*d - 23585752. What is g(8)? 0 Let p(x) = -55877*x - 558744. What is p(-10)? 26 Let n(l) = -2*l**2 - 23782*l - 71347. Calculate n(-3). -19 Let o(s) = s**2 + 252*s - 1514. Calculate o(6). 34 Let k(b) = -236*b + 59603. What is k(252)? 131 Let o(w) = -20*w**3 + 3*w**2 - w - 12. What is o(2)? -162 Let n(b) = 3*b**3 + 89*b**2 + 719*b + 240. Calculate n(-9). -1209 Let c(v) = -11*v**3 - 124*v**2 + 183*v + 1036. What is c(-12)? -8 Let l(f) = 2011*f - 54275. Calculate l(27). 22 Let l(m) = -8940*m + 223495. Give l(25). -5 Let x(d) = -1270*d - 205593. Calculate x(-162). 147 Let m(o) = o**3 - 522*o**2 + 17553*o - 27783. Calculate m(486). -81 Let v(u) = u**3 + 238*u**2 - 482*u - 467. Give v(-240). 13 Let h(u) = -48*u**2 + 4672*u - 6138. Give h(96). 6 Let c(f) = -479*f - 26779. Determine c(-56). 45 Let r(y) = -y**2 + 316*y - 24777. What is r(113)? -1838 Let w(t) = -t**3 - 7*t**2 + 376*t + 991. Give w(-22). -21 Let k(d) = d**2 - 12117*d + 278157. Give k(23). -5 Let s(y) = -2*y**3 + 7*y**2 + 407*y - 2337. Give s(6). -75 Let z(u) = u**3 + 435*u**2 + 660*u - 89191. Determine z(-433). 7 Let h(j) = -15115*j - 14091. Calculate h(-1). 1024 Let u(k) = 2226*k**2 - 2177*k - 46. Determine u(1). 3 Let f(n) = 3*n**2 + 326*n + 2742. Give f(-10). -218 Let x(s) = 163*s + 1057. Determine x(-7). -84 Let b(r) = -12*r**2 - 2653*r + 1615. Calculate b(-222). -827 Let c(l) = 8108*l + 105389. Give c(-13). -15 Let a(c) = 1939869*c + 17458827. Calculate a(-9). 6 Let j(l) = 5*l**2 - 11686*l - 105202. What is j(-9)? 377 Let d(t) = 2*t**2 + 31*t - 111. Give d(5). 94 Let d(m) = 11*m**3 + 15*m**2 - 190*m - 155. Determine d(4). 29 Let t(a) = 15*a**3 + 3*a**2 + 657*a + 654. Give t(-1). -15 Let z(v) = 13292*v + 3588857. Calculate z(-270). 17 Let o(r) = 2*r**3 - 98*r**2 + 100*r - 128. Give o(48). 64 Let s(h) = 955*h + 16096. What is s(-17)? -139 Let b(l) = 1002*l + 21901. Determine b(-21). 859 Let r(z) = -z**2 + 108*z - 3807. What is r(68)? -1087 Let d(y) = -16*y**2 - 2404*y - 20876. Calculate d(-9). -536 Let z(r) = 380*r**2 - 2518*r + 1. Determine z(7). 995 Let v(i) = -i**2 + 5363*i + 26845. Give v(-5). 5 Let z(a) = 19*a**2 - 44*a - 1457. Calculate z(10). 3 Let r(n) = 15395*n - 77008. Calculate r(5). -33 Let y(m) = 33*m + 318. Give y(0). 318 Let w(y) = -y**3 - 25*y**2 + 852*y + 21973. Determine w(-25). 673 Let d(l) = -2*l**3 - 186*l + 1362. What is d(8)? -1150 Let t(o) = 3*o**2 - 1606*o - 317673. Calculate t(689). -44 Let h(m) = -6*m**2 + 218*m + 1314. Give h(-6). -210 Let t(u) = -382*u**2 - 48*u - 63. What is t(3)? -3645 Let c(d) = -3016*d + 1318013. Calculate c(437). 21 Let o(q) = 5*q**3 - 55*q**2 - 278*q + 2. Calculate o(-5). -608 Let u(x) = -x**3 - 25*x**2 - 239*x - 1658. What is u(-17)? 93 Let o(l) = -183*l - 7123. Calculate o(-35). -718 Let l(u) = -9*u**2 - 280*u + 4548. Calculate l(12). -108 Let x(v) = 2*v**2 - 7348*v - 58907. Determine x(-8). 5 Let u(p) = p**3 - 396*p**2 + 22832*p - 3927. Determine u(326). -15 Let l(a) = a**3 + 96*a**2 - 115*a - 1886. Give l(-97). -140 Let x(f) = -14*f**2 + 260*f + 339. Determine x(20). -61 Let m(k) = -2*k**2 - 193*k - 3042. Give m(-79). -277 Let o(v) = v**3 - 67*v**2 + 749*v - 421. What is o(53)? -50 Let a(r) = r**3 - 64*r**2 + 49*r + 8197. Give a(61). 23 Let o(l) = -779*l**2 + 68562*l - 884. Give o(88). -4 Let w(s) = 2*s**2 + 349*s + 198. Calculate w(-172). -662 Let h(n) = -121*n**2 + 115*n - 750. Calculate h(5). -3200 Let c(l) = -17595*l - 89035. Determine c(-5). -1060 Let r(l) = 5*l**2 + 1612*l + 129367. What is r(-151)? -40 Let x(j) = 49*j**2 - 62*j - 1387. Give x(6). 5 Let v(p) = p**3 - 26*p**2 - 6*p - 785. Give v(26). -941 Let b(c) = c**2 + 1670*c + 29733. Calculate b(-18). -3 Let s(c) = -6*c**3 - 458*c**2 + 279*c - 2229. Calculate s(-77). 4 Let a(t) = -4453120*t + 31171836. What is a(7)? -4 Let k(f) = 4*f**3 - 234*f**2 + 356*f - 900.
{ "pile_set_name": "DM Mathematics" }
remainder when y is divided by 5. 2 Suppose -12 = -2*k + x, 2*k = -5*x + x + 22. Suppose 4*r - 48 = 56. Calculate the remainder when r is divided by k. 5 Let h = 102 - 70. What is the remainder when (1/(-1))/((-1)/94) is divided by h? 30 Let z be 17*-1 - (-4)/(-4). Let b(y) = y**2 + 6*y - 9. What is the remainder when b(-8) is divided by ((-2)/(-3))/((-4)/z)? 1 Let u be -3 + (78/2 - 1). Let g = -13 + u. Calculate the remainder when g is divided by 8. 6 Let h be (-2)/8 + (-51)/(-12). Suppose d - h*d + 150 = 0. Let b(r) = -2*r + 3. What is the remainder when d is divided by b(-7)? 16 Let o(g) = 29*g - 1. Let j be o(1). Suppose -4*i + j = 2*t - 12, 8 = i + t. What is the remainder when 46 is divided by i? 10 What is the remainder when 49 is divided by 2/(-10) + 917/35? 23 Let x be (-56)/(-21)*18/(-8). Let k(a) = -2*a + 7. Calculate the remainder when 73 is divided by k(x). 16 Suppose -26*n + 38*n = 384. What is the remainder when 126 is divided by n? 30 Suppose 3*r - 22 = r. Suppose -19 - r = -6*p. Calculate the remainder when p is divided by 4. 1 Suppose 3*z = 2*q - 242, -328 = -z + 5*z - 4*q. Let r = 110 + z. Suppose -5*n = -3*y - 0*y + 38, -41 = -4*y - 3*n. What is the remainder when r is divided by y? 10 Let g(m) = -m**3 + 7*m**2 + 2*m + 2. Let z = -7 - -11. Suppose -z*h + 5*x = -18, -3*x + 9 + 4 = h. Calculate the remainder when 30 is divided by g(h). 14 Let n(m) be the first derivative of 5*m + 1/4*m**4 + 0*m**3 + 0*m**2 + 1. Calculate the remainder when n(0) is divided by 3. 2 Suppose 6*x - 8 = 4. Suppose 2*k + 2*p = 20, 3*p + 25 = 3*k - k. Let f = -6 + k. Calculate the remainder when f is divided by x. 1 Suppose -3*w + w + 4 = 0. What is the remainder when 3 is divided by (3/w)/(3/4)? 1 Suppose -p + 4*g = 5*g - 2, -5*p = -3*g - 34. Let r(t) = 4*t**2 - 1. Let j be r(1). Suppose -j - 5 = -q. What is the remainder when q is divided by p? 3 Let f = 11 - -4. Let t(b) = b**3 - 9*b**2 - 6*b - 14. Calculate the remainder when t(10) is divided by f. 11 Calculate the remainder when 99 is divided by (-102)/(-4)*20/15. 31 Suppose 4*b + 23 = 5*a - 37, 4*a + 3*b - 48 = 0. Calculate the remainder when 47 is divided by a. 11 Suppose 10 = -o + 3*h, 0 = -3*o + 3*h - 18 - 18. Suppose 11*s + 224 = 3*s. Let x = o - s. What is the remainder when 28 is divided by x? 13 Let o be 2*1*(-18)/9. Let w(g) = -17*g - 5. Let s = -18 - -34. What is the remainder when w(o) is divided by s? 15 Let f(t) = 2*t**2 + 4*t - 5. Suppose -c + 6*c = 0. Calculate the remainder when f(-5) is divided by 8 - (-1 + 0 - c). 7 Suppose 5*u - 5 = r + u, 0 = 5*r - u - 13. Suppose -r*a + 2*a = -53. What is the remainder when a is divided by 14? 11 Suppose -2*g - 2*u + 14 = 0, 0 = g - 2*u - u + 9. Suppose 3 + 0 = 3*p - g*t, 4*p + t = 24. What is the remainder when (56/10)/(1/p) is divided by 15? 13 Let g = 11 + -9. Suppose 0 = -g*u + 3*j + 90 + 56, j = 5*u - 339. What is the remainder when u is divided by 17? 16 Let c(b) = -b**2 + 12*b - 16. Let a be c(10). Suppose 4*k = -a*u + 2*u + 164, -4*u + 298 = 2*k. What is the remainder when u is divided by 15? 12 Let r(m) be the second derivative of m**3/3 + m**2/2 + 9*m. What is the remainder when 24 is divided by r(6)? 11 Let l = -10 - -19. Let g = -5 + l. Calculate the remainder when 6 is divided by g. 2 Let s = -41 - -58. What is the remainder when s is divided by 4? 1 Let v = 79 + -52. Suppose -3*c - 2*r = -r - 94, c = -4*r + 24. Suppose 36 = 5*d - 2*w - c, -4*w = -4*d + 52. What is the remainder when v is divided by d? 13 Let n = 0 + 12. What is the remainder when 35 is divided by n? 11 Suppose -3*k = -4*x - 131, 4*x + 98 + 74 = 4*k. Calculate the remainder when k is divided by 14. 13 Let b(d) = -d**3 - 6*d**2 + 2*d - 6. Let x be b(-7). Let z = x - 19. What is the remainder when 13 is divided by ((-32)/z)/(16/(-40))? 5 Let p(n) = n**2 + n + 3*n**3 + 0 + 0 - 4*n**3. Let i be p(0). Suppose -a + i*a + 16 = 0. What is the remainder when a is divided by 9? 7 Let u(p) = 629*p**2 + p - 1. Let z be u(1). Let m = z - 425. Suppose -m = -5*j + 31. Calculate the remainder when j is divided by 12. 11 Let p(q) = 2*q**3 - q**3 + 9 - 5*q**2 + 0 - 4*q. What is the remainder when (-2)/(-10) + 1520/25 is divided by p(6)? 19 Let p = 52 + -14. Calculate the remainder when p is divided by 40*(-2 - 15/(-6)). 18 Suppose -o + 4 = -0. Suppose -o*h - 5*s = -97, -h = 3*s - 5*s - 8. Calculate the remainder when 33 is divided by h. 15 Let w(n) = -2*n**2 - 15*n - 14. What is the remainder when 7 is divided by w(-6)? 3 Let n(d) = -d**2 + 6*d + 10. Let b be n(7). Calculate the remainder when 14/(-1 + b/2) is divided by 10. 8 Let v(z) = -14 + 2*z**2 + 18 - 3*z - z**2. Calculate the remainder when v(-3) is divided by 8. 6 Let u(p) = -p - 17. Calculate the remainder when 128 is divided by u(-27). 8 Suppose m + h + 15 = 6*h, 0 = -3*m - 5*h + 55. Let y = -21 - -49. Suppose -4*p - r + 2*r = -81, 0 = 2*p + 2*r - y. What is the remainder when p is divided by m? 9 Suppose -4*n + 16 = 3*d - 13, d + 2*n = 13. Suppose 18 = d*l - 0. Let b(c) = -c**2 + 16*c + 17. Calculate the remainder when b(16) is divided by l. 5 Let j be ((-1)/2)/((-5)/30). Suppose -5*r - x + 130 = 0, j*x + 26 = -r + 2*r. Calculate the remainder when r is divided by 9. 8 Let m(x) = 4*x**3 - 2*x**2 - x. Calculate the remainder when ((-172)/6)/(2*4/(-12)) is divided by m(2). 21 Let d be -1*(-3)/(-3)*-3. Suppose -2*q = -6, 0*q = -g + d*q + 2. Calculate the remainder when 0/4 - (-41 + -1) is divided by g. 9 Let c = 22 - 8. What is the remainder when 54 is divided by c? 12 Calculate the remainder when (3830/(-55))/(-2) + 6/33 is divided by 18. 17 Suppose 0 = 11*b - 7*b - 40. What is the remainder when b is divided by (-2)/12 + 703/114? 4 Let h = 71 + 46. What is the remainder when h is divided by 24? 21 Let w = 4 - -30. Suppose 5*n + 10 = 70. Calculate the remainder when w is divided by n. 10 Let g = 11 - -4. Calculate the remainder when 74 is divided by g. 14 Let o be (-8)/(-6)*(6 - -114). Suppose 4*y - o = 248. What is the remainder when y is divided by 26? 24 Suppose 5 = -5*f - 0. Let m be 1*(0 - -2) - f. Suppose -i + 4*q = -5*i + 92, 0 = 3*i - m*q - 81. Calculate the remainder when i is divided by 9. 7 Let y(x) be the first derivative of -x**4/4 + x**3/3 - x**2/2 + 2. Let a be y(2). Let s = a - -10. Calculate the remainder when s is divided by 2. 0 Suppose 2*d + 47 = 121. Let n = 4 + d. Let k(h) = -h**3 + 7*h**2 - 2*h - 10. Calculate the remainder when n is divided by k(6). 13 Let o(h) = h**3 + 4*h**2 - 1. Let r be o(-2). Let y be 1*-1 - (-2 + 6). Let m = y + r. What is the remainder when m is divided by 2? 0 Suppose -147 = 5*s - 8*s. Calculate the remainder when s is divided by 14. 7 Let r = -1 + 6. Suppose 0 = -r*f + 2*n - 13, -5*n + 10*n + 14 = -3*f. Let i(m) = -2*m + 2. What is the remainder when 14 is divided by i(f)? 6 Let z(a) = -a**2 + 9*a - 1. What is the remainder when 50 is divided by z(7)? 11 Suppose 0 = 5*o - o - 8. Suppose o*p = 5*c, -c + 2*p = 5*p - 17. Calculate the remainder when 35 is divided by (-4)/(15/9 - c). 11 Let x = 154 + -75. Calculate the remainder when x is divided by 20. 19 Suppose 16 = 4*t + 4. Suppose -k + 2 = -t. Suppose -w = -2*m + 3*w + 18, -k*m + 101 = 4*w. Calculate the remainder when m is divided by 6. 5 Let m = 52 - 29. Suppose 5*z - m - 27 = 0. Calculate the remainder when 37 is divided by z. 7 Let s(y) = -2*y + 4*y - 2*y + 5*y. Let z(u) = 38*u**2 - u + 1. Calculate the remainder when z(1) is divided by s(4). 18 Suppose 3*l - 2*l - 83 = 0. Suppose -2*v - 28 = -d + 2*v, 2*d - 56 = -4*v. What is the remainder when l is divided by d? 27 Suppose 0 = -2*b + 4*b - 4*l - 20, l - 20 = -2*b. Calculate the remainder when 35 is divided by b. 5 Suppose r - 5*h + 8*h = 2, 5*r + 4*h + 1 = 0. What is the remainder when (4/1)/(4/34) is divided by 3*r/(-3)*12? 10 Let g = -1 + -7. What is the remainder when (3/(-6))/(1/(-10)) is divided by (-16)/(-10) - g/20? 1 Suppose 0 = -2*z - h, -5*z + 20 = -5*h - 10. What is the remainder when 3 is divided by z? 1 Let a be 5*(0 + (-2 - -1)). Calculate the remainder when (5/(-1) + 1)/(6/(-12)) is divided by 13/5 + (-2)/a. 2 Let c(j) = j - 4. Let h be c(4). Suppose 2*o - 3*u = 27, h = -o + 3*o - 5*u - 33. Let g(l) = -l**2 + 9*l + 3. Calculate the remainder whe
{ "pile_set_name": "DM Mathematics" }
k**3 - 3*k**2 + 2*k - 2. Let x be i(3). Let c = x + -4. Suppose v - 1 + 12 = 3*m, 2*m - v - 6 = c. What is the units digit of m? 5 Let x = -7 - -9. Suppose 0*u = -x*u + 90. What is the tens digit of u? 4 Let l(b) = -b**3 + 4*b**2 + b - 3. Let w be l(4). Suppose 0 = 2*u - 4*d + 20, -4*u - 5*d + 3 - 17 = 0. Let m = w - u. What is the units digit of m? 7 Let c(d) = d**2 - 9*d - 10. Suppose 0 = 3*l - l - 22. What is the units digit of c(l)? 2 Let a(o) = -o**3 - 5*o + 0*o**2 + 2 + 6*o**2 + 0*o. Let t be a(5). Suppose -2*n - 4*r = -r - 25, -4*r + 28 = t*n. What is the units digit of n? 8 Let z(y) = y**2 + y. Let s be z(3). Suppose -j + 28 + s = 0. Suppose -3*a = a - j. What is the tens digit of a? 1 Let x(d) = 2*d**2 - 3. What is the tens digit of x(3)? 1 Let q(c) = -40*c - 1. Let b be q(-2). What is the units digit of (-10)/35 + b/7? 1 Suppose 5*r - 5 = 15. Suppose 5*i + 50 = 5*z, r*i = z + z - 28. What is the units digit of z? 6 Let r(d) = -d**3 + d - 1. Let c(l) = -7*l**3 - 4*l**2 + 12*l - 10. Let y(k) = c(k) - 6*r(k). Let i be y(-5). Let g = -1 - i. What is the units digit of g? 8 Let w be 1/((-12)/(-15) + -1). Let q(g) = -9*g + 2. Let u be q(2). Let d = w - u. What is the tens digit of d? 1 Suppose -8 - 14 = 2*w. Let v = w - -15. What is the units digit of v? 4 Let a = -1 + -20. Let x = 35 + a. What is the units digit of x? 4 Suppose b - 555 = -4*g, -4*g + 9*g = 3*b + 698. What is the hundreds digit of g? 1 Let u(h) = h**3 + 5*h**2 + 3. Suppose b = -g + 3, -5*g + 0 = 2*b - 3. Suppose -4*o = -4*t + 32, -b*o - 29 = -0*o - 3*t. What is the units digit of u(o)? 3 Let q(p) = p**2 - p. Let b = -7 - -11. What is the units digit of q(b)? 2 Let f = 11 - 7. Suppose -5*s - f*p + 27 = -93, 4*p = 5*s - 160. What is the tens digit of s? 2 Suppose 2*d + 17 = h, -4*h = d - 0*h + 13. Suppose 2*q - 7*q - 24 = -4*x, -x = 3*q - 23. Let g = d + x. What is the units digit of g? 2 Let r = 26 + -16. Suppose b = v + v - 2, 5*b + r = 3*v. What is the units digit of (-3)/((-3)/b) + 15? 3 Let m(d) = d**2 - 8*d + 2. Suppose l - 2*b = -2*l + 32, 2*l + b = 12. Let u be m(l). Suppose 2*g = 6*i - u*i - 54, 19 = 4*i + 5*g. What is the tens digit of i? 1 Let t = 12 + -1. Suppose -24 = -s - t. Let u = s - 9. What is the units digit of u? 4 Let s = 21 + -15. What is the tens digit of (-1)/2 - (-147)/s? 2 Suppose -p + 3*k = -13, 4*k + 11 = 4*p - 9. Let v be 1 + -3 + p + 4. Suppose v*q - 3*f = 15, 2*f + 14 = 4*q - 2. What is the units digit of q? 3 Let x = 0 + -11. Let a = 4 - x. What is the tens digit of a? 1 Let m be (-3 + 5)/(6/(-15)). What is the units digit of -4 - m - (1 - 7)? 7 Let q = 29 - 29. Let t(w) = w**3 - w + 1. Let l be t(2). Suppose q*v = v - l. What is the units digit of v? 7 Suppose 0 = 4*u + 5*w + 19, 3*u + 0*u + 3*w = -12. Let h = 9 + u. What is the units digit of h? 8 Suppose 0 = 4*o + 4, -2*o = 3*k - 7*o - 305. What is the tens digit of k? 0 Let f(t) = -5*t + 1. Let h(j) = -j + 1. Let g(a) = -f(a) + 4*h(a). Let p be g(0). Suppose 17 = p*w - 4. What is the units digit of w? 7 What is the hundreds digit of (2 - 4/3)/(2/1191)? 3 Let s be (1 - 5)/(-2) - -3. Let c = 39 + 11. Suppose 0 = s*v - 20 - c. What is the tens digit of v? 1 Suppose 0 = -2*d - 8, -3*q + d = -0*q - 4. Suppose 4*k = k + 12, q = 4*o + 2*k - 156. What is the tens digit of o? 3 Suppose 0*c = 2*c. Let h = -1 - c. What is the units digit of 5/(-1)*1/h? 5 Let h(v) = 22*v - 68. What is the tens digit of h(13)? 1 What is the units digit of 85/34 - 6/(-4)? 4 Let g be 0 + 44 + -1 + 3. Let i = g - 33. What is the units digit of i? 3 Let v = -96 - -135. Suppose m - v = -11. What is the units digit of m? 8 Let f(p) = p**2 - 4*p - 3. Let k be f(6). Let b = k - 5. Suppose -2*c = -0*c - b. What is the units digit of c? 2 Let o(h) = -h**3 + 5*h**2 - 2*h - 4. Let f = 6 + -2. Let g be o(f). Suppose 0 = -g*w + 2*w + 6. What is the units digit of w? 3 Suppose -t = 3*t - 228. Suppose t = 4*l - l. What is the units digit of l? 9 Let t be (-6)/(-1 - -4) + -2. Let p = -2 - t. What is the units digit of p? 2 Let j be (-1)/3 + 11/(-3). Let p be (6/j)/((-6)/(-8)). What is the units digit of p/(-4) - (-4)/8? 1 Let d be ((-3)/6)/((-1)/2). Let j(f) = -7*f**2 - f - 2. Let v(r) = 13*r**2 + 3*r + 5. Let p(h) = -5*j(h) - 2*v(h). What is the units digit of p(d)? 8 Let d(g) = g**3 + 9*g**2 - 11*g + 4. Let q be d(-10). Suppose q = 2*p - 24. What is the units digit of p? 9 Let a be 2/(-5) - 108/(-20). Suppose 52 = -3*j + 5*f + 168, -a*f = 3*j - 166. What is the tens digit of j? 4 Let u be 24/(-16)*(-8)/6. Let i = 0 + u. What is the units digit of i? 2 Let s(y) be the third derivative of y**6/120 - y**5/20 + y**4/24 - y**3/2 - 9*y**2. What is the units digit of s(5)? 2 Let l(a) = a**2 - 5*a + 2. Let f be l(4). Let x = f - -3. What is the units digit of x? 1 Let f = -5 - -34. What is the tens digit of f? 2 Suppose 2*z = 4*t + 28, z = -5*t + 8 - 29. Let w = z - 2. Suppose -w*c = -29 - 1. What is the units digit of c? 5 Let w be 4/14 - (-156)/91. Suppose -w*v + 76 = 2*v. What is the tens digit of v? 1 Let h(q) = 38*q**2 + 9*q + 16. What is the tens digit of h(-2)? 5 Let q(a) = -a**3 - a**2. Let k be q(0). Suppose w = -4*s - 19, w + k*w - 5*s = 26. What is the units digit of w? 1 Suppose 3*g - 8*g + 1184 = -2*z, 2*g = 4*z + 480. What is the units digit of g? 6 Suppose 200 = 4*c - 244. What is the hundreds digit of c? 1 Suppose 0 = -d + 4 + 1. Suppose 2*t + t - 7 = -2*s, 0 = -4*s - d*t + 17. What is the units digit of s? 8 Suppose -7*o + 748 = -4*o - 2*h, -3*o = 4*h - 754. What is the tens digit of o? 5 Let u(s) = -2 + 0*s + 0*s + s. Let l be 1 + (-4)/((-12)/27). What is the units digit of u(l)? 8 Let z be (-15)/9*(3 + 0). Let d = 2 - z. What is the units digit of d? 7 Suppose 0 = 5*i - 15 - 30. Suppose 5*t - i = 1. Suppose -18 - 10 = -t*b. What is the units digit of b? 4 Suppose m - 39 = 1. What is the tens digit of m? 4 Let s be (-4)/(-8) - 165/(-2). Suppose -3*d + 25 = 3*x - 89, -2*d + s = -5*x. What is the tens digit of d? 3 Let d = 1 - 1. What is the tens digit of -6*(d - (4 + 1))? 3 Suppose 5*a = 2*a + 21. What is the units digit of a? 7 Let t = 252 - 180. What is the tens digit of t? 7 Let b(i) = -i + 15. Let k be b(12). Suppose 27 = c - 2*a - 33, k*c + 2*a = 172. What is the units digit of c? 8 Let s(d) = 3*d**2 + d - 11. What is the units digit of s(4)? 1 Let q(g) = -g**3 + 5*g**2 - 2*g - 6. Let o be q(6). Let r = 78 + o. Suppose u + 3*u - r = 0. What is the units digit of u? 6 Let d(w) = w**2 + 4*w - 7. Let m = -7 - -11. Suppose -m*l = -0*l + 24. What is the units digit of d(l)? 5 Suppose 0 = -b - 5*s + 51 + 8, -2*s + 6 = 0. What is the units digit of b? 4 Let g = -51 - -86. What is the tens digit of g? 3 Let c(r) = -r - 3. Suppose -2*z + 6 = -5*k, 4*k - 2*k + 9 = 3*z. Suppose z*o + x = -29, -2*x = 2*x + 20. What is the units digit of c(o)? 5 Let t(f) = -f**3 + 6*f**2 + 8*f - 5. Let s be t(7). Let m(y) = -3*y**3 - 6 - 9*y**s - 9*y + 3 + 2*y**3. What is the units digit of m(-8)? 5 Suppose -3*r = 3*x + 3, x = -0*r - 5*r - 5. Suppose -2*m = -4*o - x*o + 42, -2*m + 42 = 3*o. What is the units digit of o? 2 Let j(z) = -2*z**3 - 2*z**2 - 2. Let k be 2 + -2 - (3 + -1). What is the units digit of j(k)? 6 Let p(z) = z + 0 + 0 - 3 + 7. Let y be p(-4). Suppose -2*n + 0*n = -l + 17, y = 3*l + 3*n - 33. What is the tens digit of l? 1 Suppose 0 = u + 2*k - 15, 0*k = -3*u + 5*k + 78. What is the units digit of u? 1 Let g(k) be the third derivative of -k**7/1260 - k**6/360 - k**5/60 - 2*k**2. Let m(t) be the third derivative of g(t). What is the units digit of m(-2)? 6 Suppose -5*s - 3*u = -0*u + 12, 0 = s + u + 2. Let h(z) = z**3 + 5*z**2 - 4. What is the tens digit of h(s)? 1 Suppose 0 = -5*r - 3*u + 203 + 339, 4*r = 3*u + 412. What is the tens digit of r? 0 What is the units digit of (-6 - -115) + (2 - -1)? 2 Let g(r) = -r + 7. What is the units digit of g(-6)? 3 Suppose 5*a + 14 = -21. Let c = a - -10. What is the units digit of c? 3 Suppose z + 228 = 4*z. What is the tens digit of z? 7 Let r = 69 - -16. What is the tens digit of r? 8 Let c = -33 + 51. What is the units digit of c? 8 Let v = 103 + -1. What is the tens digit of v? 0 Let y be (-1042)/(-12) - 6/(-36). Suppose -4*i = -y - 9. What is the tens digit of i? 2 Suppose -1 = 3*k -
{ "pile_set_name": "DM Mathematics" }
a) -5 (b) 1 (c) j (d) -1/6 c Let q be (1 + (-10)/8)*2. Let p be (-37)/(-21) - (-24)/(-18) - 1. Which is the second biggest value? (a) -1 (b) p (c) q (d) 1 c Suppose -j - 120 = 4*j. Let z = j + 52. Suppose s + 3*r + z = -2*r, s - 22 = 5*r. Which is the third smallest value? (a) 0 (b) 2 (c) s b Let w = -6 - -6. Let a = 29 - 30.1. Let j = 0.2 + a. What is the smallest value in -5, w, j? -5 Let q = 0.4 + -2.4. Let x = -0.26 + 0.27. Let b = 0.07 - x. What is the third biggest value in q, b, 0.5? q Let f(l) = -2*l**2 + 62*l + 336. Let k be f(-5). What is the second biggest value in k, 1, 2, 1/2? 1 Let f be (-110)/40 + 2/(-8). Let p be (-19 - 2)*1 - f. Let g be (0 - 3/p)*10. Which is the second smallest value? (a) -1 (b) g (c) 1 c Let t(n) = -n**2 - 7*n - 7. Let j be t(-4). Suppose j*y - 10 = 0, 0*a + 4*y - 10 = -a. Let b = 0.8 + -0.3. What is the second biggest value in a, b, -1? b Suppose 52*r - 16 = 48*r. Which is the biggest value? (a) 5 (b) -0.18 (c) r a Let z = -2.05 - -0.05. Let s = -3 + z. Let m = -3.1 - -3. Which is the smallest value? (a) s (b) m (c) -2 a Let u(w) = 21*w + 3. Let o be u(2). Let i be (o/(-20) + 3)*-12. Let l be (-1)/(-5)*i - -2. What is the second biggest value in 2, l, -13? l Let m = 2.29 + 88.71. Let h = m + -95. What is the fourth smallest value in 1/6, -5, 0.5, h? 0.5 Let f = -2340 + 2345. Let j = 0.1 + -0.3. Which is the third biggest value? (a) f (b) 13 (c) -3 (d) j d Let h = -0.089 + 0.1. Let q = 4.989 + h. Which is the second biggest value? (a) 4 (b) 2/5 (c) q a Let a = -4.0081 + 0.0081. What is the fourth biggest value in 3, -13, a, -3/2? -13 Let m be 0/(-2 - -6) + (-120)/(-30). Which is the fourth smallest value? (a) m (b) 2/23 (c) -4 (d) 0 a Let l = 4 - 7. Let i = 38.41 + -38. Let k = 0.11 - i. Which is the biggest value? (a) k (b) -2/5 (c) l a Let f be (0 - (-6)/(-3))/(13 - 2). Let t = -21 + 19. Which is the third smallest value? (a) t (b) f (c) 1/5 c Let s(d) = -d**2 + 21*d - 39. Let i be s(19). Let f be i - 0 - (1/(-2))/1. Which is the smallest value? (a) f (b) 3 (c) -2/5 a Let g = -25 + 4. Let s = g + 21.5. Let r be 0 + 2 - (2 + 1). Which is the smallest value? (a) r (b) -0.2 (c) s a Let w(g) = -g**3 + 3*g**2 - 2*g - 2. Let t be w(1). What is the second smallest value in t, -25, 0.1? t Let x = -0.43 + 5.13. Let t = x + -5. Let y be (-51)/84 - (-3)/4. What is the second biggest value in 4, t, y? y Let q = 0.547 - 0.047. Let t = 2.04 + -0.04. What is the smallest value in t, -4, q? -4 Let y = 0.09 + 0.31. Let v = 8 - 8.4. Which is the biggest value? (a) -13 (b) v (c) y c Let f(l) = -2*l - 22. Let h be f(-13). Which is the biggest value? (a) h (b) -2 (c) -21 (d) -0.06 a Let d = -30 - -30.5. Which is the third biggest value? (a) 2/11 (b) d (c) 0.07 c Let r(v) = 5*v**2 + 3*v + 1. Let h be r(-1). Suppose h*o + 2*k = -6, 0*k = -5*o - 2*k - 10. Which is the third smallest value? (a) -3 (b) 3 (c) o b Suppose 17 + 27 = -11*r. What is the second biggest value in 3, r, 1, 5? 3 Let q = -0.333 - -0.353. What is the biggest value in 0, q, 3, -0.3? 3 Let p = 20 - 17. Let h = -11 + 7. Let a = 0 - h. What is the biggest value in p, a, 0.3? a Let g = 6 - 9. Let f = -0.2 + 2.2. Let m = 52 + -51.6. What is the second smallest value in g, f, m? m Let w be 140/63 - (2 - 0). Suppose -r = -2*l + 1 + 3, -2*r - 8 = 2*l. Let u be ((-15)/12*r)/(-1). What is the third smallest value in -3, u, w? w Let w = -72.4 + 72. What is the third smallest value in -20, w, -0.03? -0.03 Let j = -19.2 - -19. Let k be ((-13)/117)/((-10)/34). Let g = -1/45 - k. Which is the second biggest value? (a) g (b) -0.3 (c) j b Let y = 2.01 + -0.01. Let s = -94.5 + 94. Which is the fourth biggest value? (a) y (b) 0.4 (c) s (d) 0.05 c Let b = -0.478 - -0.478. Let p be (-2 + 1)*(-12)/21. What is the fourth smallest value in p, b, -3, 0.5? p Let m = 0 - -1/3. Which is the fourth biggest value? (a) m (b) 2/7 (c) 4 (d) -4 d Suppose s - 3*h - 6 = 9, 3*h + 12 = 0. Let y be (s - (0 + 3)) + 3*-2. Let p = 1 - 0.9. Which is the biggest value? (a) y (b) p (c) -5 b Let m(w) = 5*w + 1. Let u be m(0). Suppose 4*v = u - 9. What is the second smallest value in -19, v, 2/9? v Let g = -4 - -8. Let x be 2/(-10)*(-45)/6. Let w = 979 + -4893/5. Which is the second biggest value? (a) w (b) g (c) x c Let v be ((-2)/(-18))/((-12)/90). Let x = -28 + 47. Let b = 17 - x. What is the second smallest value in b, -0.5, v? v Let f = -0.14 + 1.14. Let r = f + -0.9. Let j = -2 - -1.8. Which is the smallest value? (a) r (b) j (c) 0.2 b Let a = 21/8 + 73/8. Let l = a - 12. Let t = -22 + 21.7. What is the second biggest value in l, 2/13, t? l Suppose 0*m - 634 = -3*m + r, -202 = -m + 5*r. Let h = -1064/5 + m. What is the third biggest value in 0.4, 3, -2, h? h Let x = -2.9 - 1.1. Let u(s) = s**3 - 4*s**2 - 5*s + 4. Let t be u(5). Which is the third smallest value? (a) 12 (b) 0.5 (c) t (d) x c Let m = 0.353 - -0.147. What is the second smallest value in m, -53, -2? -2 Let t = -8 + 10. Suppose 2*r + 4*q + 2 = 0, 7*q = t*q + 5. Suppose 18 + 17 = -35*o. Which is the third biggest value? (a) 2/5 (b) r (c) o b Let m be 7*((-40)/105 + (-2)/(-3)). Let s be (9/4 - m)/((-7)/(-42)). Let x be ((-6)/(-4))/((-6)/1). What is the second biggest value in x, -0.2, s? -0.2 Let w = 57 + -52. What is the smallest value in 1, w, -1/20, -2? -2 Suppose 0 = 2*k - 3*k + 5*g + 7, -5*k - 7 = -4*g. What is the second biggest value in 0, k, 2/19, 0.3? 2/19 Let v = 21 + -26. Let y = -1 - -3. Let t = 2.06 - y. Which is the second biggest value? (a) v (b) t (c) -4 c Let s = 13 - 12.6. Let n be (-1 + 0)*(-2)/1. Suppose n*p = -2 - 6. Which is the smallest value? (a) s (b) p (c) -1/3 b Let h be 3 + ((-3762)/30 - (1 + -1)). Let d = -122 - h. What is the third biggest value in d, 2, -2? -2 Let f be 1*(-1)/39*(2 + 4). What is the biggest value in 1.1, f, -4/3? 1.1 Let u = 2 + -1. Suppose -50 = 131*v - 141*v. What is the second biggest value in u, v, -5/6? u Let p be (3/27)/(0 - -1). Let s = 1.5 - 0.5. What is the second biggest value in s, p, -2? p Let o = -12 + 13. Let i be o/(16/60) - 4. What is the smallest value in -0.2, 1/4, 3, i? i Let w = -0.4 - 0.6. Let u = w + 0.5. Let x = -0.5 + u. What is the second smallest value in 4/3, x, -3/8? -3/8 Let o = -13 - -19. Let t = 2 - o. Let y be (-21)/3 - (-104)/14. Which is the third biggest value? (a) t (b) y (c) 2/5 a Let u = 262.1 - 262. What is the third smallest value in u, -0.5, -7, 0.8? u Let u be -3 + ((-8)/(-1) - -1). Suppose -u = -3*v - 3. Let m be ((-3)/2)/(v/2). What is the second biggest value in -1, m, 3? -1 Let o = -0.059 - 0.141. Which is the smallest value? (a) o (b) -1 (c) -0.5 (d) -3 d Let t = -0.08 - 0.22. Let r = -58 + 60. Suppose 5*q = 5*h + 35, -q + r*q = 4*h + 16. Which is the biggest value? (a) q (b) t (c) 3 a Let f = 75/8 - 1291/136. What is the biggest value in 2, 30/7, f? 30/7 Let y = -329 - -315. What is the third biggest value in y, -3, 1? y Let f be (((-56)/(-40))/7)/((-3)/12). What is the second biggest value in f, 0.03, 2? 0.03 Let t be 2/((-6)/(-15)) - 2. Let l = -3 + t. Suppose -1986 = -6*m - 2004. Which is the second biggest value? (a) -0.2 (b) l (c) m a Let r be (4/12)/(3*5/(-15)). Let t = -2.3 - -0.3. Which is the smallest value? (a) r (b) -0.28 (c) t c Let j = -398.13 - -398. Let n be ((-3)/(-2))/((-9)/12). What is the second smallest value in j, -5, n? n Let k = 4 - 4.11. Let a = 0.19 - k. Let g = -0.7 + a. What is the third biggest value in -3, g, -5? -5 Let w = -2.6 - -0.8. Let q = -0.8 - w. Let g = q + -0.9. Which is the smallest value? (a) -0.2 (b) 2/5 (c) g a Let x = -45.2 + 34.36. Let p = -15 - x. Let k = 0.16 + p. Which is the third smallest value? (a) -1 (b) k (c) -0.5 c Let n = 5187 + -5185. Let p = -1 - 1. Which is the biggest value? (a) n (b) p (c) 0.5 a Let z = 215 - 214. Let t = -0.6 + 4.6. What is the smallest value in z, -0.4, t? -0.4 Let t = 78.6645 + -0.0645. Let l = t - 79. Let v = -3 - -2.7. What is the third smallest value in v, l, -3? v Let v = 1071/4316 - -2/1079. Suppose 2*o - 6*o = 16. Let y be (-1 + (-2)/o)*-2. Which is the second biggest value? (a) v (b) -5 (c) y a Let p be (-5)/(-30)*-7 - (-2)/(-4). Which is the
{ "pile_set_name": "DM Mathematics" }
. Let c = -69/44 + i. Solve 0 + c*u - 4/11*u**2 + 2/11*u**3 = 0. 0, 1 Let z = -58295/24 + 2429. Let r(k) be the third derivative of -1/4*k**5 + 0*k + 0 - 5/6*k**3 - 6*k**2 + z*k**6 + 5/8*k**4. Determine n, given that r(n) = 0. 1 Suppose -2*k + 8*k - 6 = 0. Suppose 5*b = -3*m - 14, -m + k + 5 = -b. Factor -3/4*d**m + 1 + 0*d + 1/4*d**3. (d - 2)**2*(d + 1)/4 Suppose -3*o + 623 = -4*s, -2*o + 0*o = -4*s - 410. Let v = o - 211. Let 0 - 5/3*u**v + 0*u + 20/3*u**3 = 0. What is u? 0, 1/4 Suppose 2*k = p + 7, -k - 7 = -0*k + 3*p. Let w = -159 - -159. Find i, given that w + 6/5*i**k + 3/5*i**3 + 3/5*i = 0. -1, 0 Let k(b) be the second derivative of 1/18*b**4 - 12*b - 1/3*b**2 + 0 + 0*b**3. What is s in k(s) = 0? -1, 1 Let v(l) be the third derivative of -l**6/50 + l**5/20 + 167*l**4/40 - 21*l**3/5 - l**2 - 41*l. Let v(a) = 0. Calculate a. -6, 1/4, 7 Let d(n) be the third derivative of 5*n**8/336 - n**7/35 - 49*n**6/120 + n**5/2 + 29*n**4/6 - 4*n**3 - 2*n**2 - 133. Suppose d(v) = 0. Calculate v. -2, 1/5, 2, 3 Suppose 0 = 6*z + z. Let d(c) be the third derivative of 0*c + z - 1/30*c**5 + 1/3*c**3 + 1/12*c**4 - 1/60*c**6 - 6*c**2. Find h such that d(h) = 0. -1, 1 Let j(u) = u**3 + 2*u**2 - 41*u + 38. Let k(a) = 15*a**3 + 33*a**2 - 657*a + 609. Let x(g) = -33*j(g) + 2*k(g). Factor x(o). -3*(o - 3)*(o - 1)*(o + 4) Let y = 52 + -50. Solve -y*h + 803*h**2 + 1 - 802*h**2 + 0 = 0. 1 Let c be (-2716)/(-1067)*(19/(-6) - -3 - -2). Find f such that 20/3 + c*f + 2/3*f**2 = 0. -5, -2 Let t(m) be the second derivative of m**6/40 - 3*m**5/16 - 33*m**4/16 + 77*m**3/8 - 15*m**2 + 346*m. Factor t(q). 3*(q - 8)*(q - 1)**2*(q + 5)/4 Let f(h) be the second derivative of 9*h - 5/2*h**2 - 16/3*h**3 + 0 - 1/30*h**5 + 2/3*h**4. Let y(g) be the first derivative of f(g). Factor y(d). -2*(d - 4)**2 Let c(g) = g**2 + 13*g + 16. Let o(s) = -2*s**2 - 14*s - 17. Let l(q) = -5*c(q) - 4*o(q). Factor l(m). 3*(m - 4)*(m + 1) Determine j, given that -12/7*j**3 + 15/7*j**4 - 33/7*j**2 - 6/7*j + 0 = 0. -1, -1/5, 0, 2 Let l(u) be the second derivative of -u**6/30 + 11*u**5/20 - 5*u**4/12 - 47*u**3/6 - 15*u**2 - 139*u + 1. Solve l(b) = 0 for b. -1, 3, 10 Suppose 14*b + 23 = 65. Factor -4*c - 4*c**4 + b*c**2 - 4*c**4 + 3*c**2 + 6*c**4. -2*c*(c - 1)**2*(c + 2) Let z(j) be the first derivative of 5*j**4/48 - 25*j**3/24 - 15*j**2/4 + 24*j - 30. Let i(h) be the first derivative of z(h). Solve i(m) = 0 for m. -1, 6 Factor 4/5*t + 0 - 2/5*t**4 + 0*t**3 + 6/5*t**2. -2*t*(t - 2)*(t + 1)**2/5 Suppose 5/6*j**2 + 6 - 49/6*j = 0. What is j? 4/5, 9 Solve 3*u**5 + 7*u**5 + 5*u**5 + 16*u + 23*u**4 - 104*u**3 + 13*u**4 + u**5 + 36*u**2 = 0. -4, -1/4, 0, 1 Suppose -5*b + 1 + 9 = 0. Factor -2*l**b - l**2 + 12*l**2 + 9*l + 3*l**3 + 3*l**2. 3*l*(l + 1)*(l + 3) Let l(d) be the second derivative of d**6/150 - 3*d**5/100 - d**4/60 + d**3/10 + 85*d. Solve l(y) = 0. -1, 0, 1, 3 Let v(z) = -2*z**2 - 20*z - 46. Let b be v(-6). Suppose -14*o + b*o + 24 = 0. Suppose 0 + 0*r + 1/4*r**o = 0. Calculate r. 0 Let b(p) be the third derivative of p**7/560 - p**5/80 - 13*p**3/6 - 3*p**2. Let h(i) be the first derivative of b(i). Factor h(x). 3*x*(x - 1)*(x + 1)/2 Let m(k) be the first derivative of k**5/90 - k**4/12 + 2*k**3/9 + 5*k**2 + 10. Let f(s) be the second derivative of m(s). Find x, given that f(x) = 0. 1, 2 Let w be (9/(-6))/(1*3/12). Let o be (w/(-10) - (-8)/20) + 3. Let -27/4*a**2 - 3*a**o - 33/4*a**3 - 3/4*a + 3/4 = 0. Calculate a. -1, 1/4 Let c(y) be the second derivative of y**4/42 + y**3/3 + 10*y**2/7 + 139*y. Factor c(j). 2*(j + 2)*(j + 5)/7 Suppose -30*b + 11 = -49. Solve 1/4*k**b - 1/4*k**3 + 0 + 1/2*k = 0. -1, 0, 2 Let q = -833/6 + 418/3. Let o(f) be the first derivative of -q*f**4 + 2/3*f**3 + 0*f - 5 + 2*f**2. Let o(u) = 0. What is u? -1, 0, 2 Let m(v) be the second derivative of v**5/40 + 7*v**4/3 - 115*v**3/12 + 29*v**2/2 + 243*v. Let m(p) = 0. What is p? -58, 1 Let d(h) = 6*h**3 + 65*h**2 + 733*h - 789. Let m(n) = 5*n**3 + 63*n**2 + 732*n - 788. Let w(j) = 4*d(j) - 5*m(j). Solve w(v) = 0 for v. -28, 1 Let m be 2 - (-3 + (8/4 - 0)). Find c, given that -10*c**4 - 14*c**2 + 12*c**4 + 2*c + 2*c + 4*c + 4*c**m = 0. -4, 0, 1 Let c = -8856 + 35445/4. Determine o so that 39/4*o - c*o**2 + 3/2 = 0. -1/7, 2 Let z(w) = 3*w**4 - 2*w**3 - 3*w**2 - 2*w. Let x(u) = u**4 - u**2 - u. Let r(i) = 4*x(i) - z(i). Factor r(t). t*(t - 1)*(t + 1)*(t + 2) Suppose -10 = -0*y - 2*y. Suppose -y = -x + 34. Solve -18 + x - 21 + 2*z**2 - 2*z = 0. 0, 1 Factor 2/3*h**2 - 2/3*h**3 + 0 + 0*h. -2*h**2*(h - 1)/3 Suppose 0 = -7*t + 15 - 1. Factor -6*y - 21*y**5 - 26*y**2 + 5*y**2 - 18*y**t - 81*y**3 - 67*y**4 - 2*y**4. -3*y*(y + 1)**3*(7*y + 2) Let w(s) = -s**2 - 4*s - 15. Let x(g) = 2*g**2 + 10*g + 30. Let l(t) = -13*w(t) - 6*x(t). Factor l(b). (b - 5)*(b - 3) Let c = 383/21 - 123/7. Find l, given that -1/6*l**2 - c - 2/3*l = 0. -2 Let h(f) be the third derivative of -f**5/210 + 19*f**4/84 + 2*f**3 + 326*f**2. Factor h(a). -2*(a - 21)*(a + 2)/7 Suppose 10*j - 7*j + 14 = 4*c, -3*j = -c + 8. Let v(t) be the first derivative of -c - 1/2*t + 5/4*t**2 + t**3. Factor v(q). (q + 1)*(6*q - 1)/2 Let r(x) be the first derivative of 2*x**5 - 10/3*x**3 - 5/6*x**6 + 21 + 0*x**2 + 5/4*x**4 + 0*x. Suppose r(m) = 0. Calculate m. -1, 0, 1, 2 Determine b, given that -80*b + 70*b**2 + 2*b**4 + 441 - 32*b**3 - 415 + 14*b**2 = 0. 1, 13 Let y(a) be the third derivative of 24*a**2 + 0 - 2/165*a**5 + 5/44*a**4 + 0*a + 4/33*a**3. Factor y(b). -2*(b - 4)*(4*b + 1)/11 Suppose -q = -2 - 2. Factor 11*i**4 - 21*i**q + 20*i - 20*i**2 + 0*i**2 + 15*i**4 - 5*i**3. 5*i*(i - 2)*(i - 1)*(i + 2) Let w(f) be the first derivative of 24*f**2 + 9/4*f**4 + 12*f + 9 + 13*f**3. What is t in w(t) = 0? -2, -1/3 What is w in 0*w**3 - 21*w**2 - 240*w + 6*w**3 + 144*w + 3*w**4 + 108*w = 0? -4, 0, 1 Let b(o) be the second derivative of o**6/240 + o**5/16 + o**4/4 - 5*o**3/3 - 10*o. Let v(g) be the second derivative of b(g). Let v(s) = 0. What is s? -4, -1 Let a(t) be the first derivative of -t**7/4200 - 32*t**3/3 - 40. Let o(x) be the third derivative of a(x). What is g in o(g) = 0? 0 Suppose 5*a = 15, 0 = -3*n + 3*a + 17 - 2. Let s = n - 6. Factor -173 - s*y**3 + 173 - 3*y**4. -y**3*(3*y + 2) Let a(h) = h**2 + 3*h - 1. Let u(b) = 2*b + b + b. Let v = 170 - 166. Let r(s) = v*a(s) - 3*u(s). Factor r(g). 4*(g - 1)*(g + 1) Factor 0*a + 6/13*a**3 - 2/13*a**4 + 0*a**2 + 0. -2*a**3*(a - 3)/13 Let v = -7 + 7. Suppose v = -5*n + 8 + 7. Determine i so that -240*i**5 + 8*i - 8*i**n - 8 + 8 - 30*i**2 - 284*i**4 + 74*i**2 = 0. -1, -1/3, -1/4, 0, 2/5 Let w(d) = -6*d**2 - 731*d - 15. Let n(b) = 4*b**2 + 732*b + 12. Let p(t) = -5*n(t) - 4*w(t). Factor p(i). 4*i*(i - 184) Determine b, given that 9/5*b**3 + 0*b + 0*b**2 + 0 - 6/5*b**4 + 1/5*b**5 = 0. 0, 3 Suppose -v = -4, 0 = 3*s - 5*v - 51 - 13. Suppose -6*a + s = a. Factor 5/3*c**a + 3*c**2 + 0 - 2/3*c - 4*c**3. c*(c - 1)**2*(5*c - 2)/3 Suppose 30*r + 84 = 204. Let v(k) be the second derivative of 0*k**2 + 1/20*k**5 + 10*k + 1/30*k**6 + 0*k**3 - 1/42*k**7 + 0 - 1/12*k**r. Factor v(h). -h**2*(h - 1)**2*(h + 1) Factor -89*b + 26*b - 5*b**5 + 1 + 2*b**5 - 27*b**4 - 102*b**2 - 78*b**3 - 16. -3*(b + 1)**4*(b + 5) Let z(i) be the third derivative of i**5/60 - 29*i**4/24 + 14*i**3/3 - 6*i**2 - 4*i. Find t, given that z(t) = 0. 1, 28 Let x(o) be the third derivative of -o**5/140 - 19*o**4/56 + o**2 + 117*o. Factor x(q). -3*q*(q + 19)/7 Let l(t) be the second derivative of -t**4/60 - 3*t**3/10 + 76*t. Determine h so that l(h) = 0. -9, 0 Factor -9*n**2 + 8*n**2 - 120*n - 9*n**2 + 15*n**2 - 125. 5*(n - 25)*(n + 1) Let i(s) = -8*s - 6. Let p be i(2). Let q(d) = d**2 + d. Let g(l) = 10*l**2 + 12*l. Let b(t) = p*q(t) + 2*g(t). Determine y so that b(y) = 0. 0, 1 Determine m so that 9/2*m**2 + 3/2*m**3 + 0 + 0*m = 0. -3, 0 Let g(p) = -4*p**3 + 4*p**2 - 2*p + 381 + 6*p - 385. Let h(m) = 3*m**3 - 3*m**2 - 3*m + 3. Let d(r) = 6*g(r) + 7*h(r). Find b, given that d(b) = 0. -1, 1 What is o in -36963/2*o - 1367631/2 - 1/2*o**3 - 333/2*o**2 = 0? -111 Let z = 17 + -14. Let f(o) be the first derivative of 2*o**z + 1 - 3*o**3 - 1 + 3. Suppose f(u) = 0. What is u? 0 Let q(j) be the first derivative of j**8/3360 - j**7/560 + j**6/720 + j**5/80 - j**4/24 - 10*j**3 + 14. Let m(h) be
{ "pile_set_name": "DM Mathematics" }
= t + 4*o - 265, 3*o = -t + o + 275. Suppose 2*f = 7*f - t. What is the tens digit of f? 5 Let d = -87 - -94. Let o(n) = 5*n - 39. Let v be o(d). What is the units digit of (-1)/((-10)/v)*(-164 - -4)? 4 Suppose 66*s - 69*s = -12. Suppose -2*c + s + 0 = 0. What is the units digit of 135/18 - c/4? 7 Let w = 62772 - 21186. What is the thousands digit of w? 1 Let p(f) = f**3 + 18*f**2 - 7*f - 25. Let d(m) = -3*m + 24. Suppose -5*x + 74 = 4*j, -j + 5*j + 10 = x. Let g be d(x). What is the tens digit of p(g)? 0 Let n = 140 + 28. Let a(x) = -x**3 + 12*x**2 - 32*x + 19. Let q be a(10). Let d = n + q. What is the units digit of d? 7 Let b be ((-1)/3)/((-1)/33). Let p = 9202 - 9185. Suppose 462 = -b*l + p*l. What is the tens digit of l? 7 Let r(i) = -i**3 + 27*i**2 + 47*i + 569. What is the thousands digit of r(-23)? 5 Let n(t) = 78*t**2 + 4*t + 4. Let u = -243 - -245. What is the hundreds digit of n(u)? 3 Let i(s) = -302*s - 70. Let n be i(-2). Suppose -n - 591 = -9*p. What is the tens digit of p? 2 Let u(s) = -122*s**2 - 2*s - 2. Let z be u(-1). Let r = 395 + z. What is the units digit of r? 3 Suppose 13 = 3*k + 3*a - 8, -2*a = -4. What is the tens digit of (-217)/((-8)/(-2) - k)? 1 Let b = -99 - -117. Suppose -14*x = -b*x - 24. What is the hundreds digit of ((-178)/5)/(x/30)? 1 Suppose 65225 = 33*x - 40375. What is the tens digit of x? 0 Let p(k) = -168*k + 1073. What is the units digit of p(-30)? 3 Let k(c) = -c**2 - 38*c + 153. Let y be k(-41). What is the units digit of (-5)/y - 17481/(-18)? 1 What is the tens digit of (-7984)/((5/(-30))/((-22)/(-33)))? 3 Let p(r) = -6*r - 10. Let l be p(-4). Let q(d) = d**2 + d - 4*d + l + 2*d. What is the units digit of q(-6)? 6 Let s be (4/(-14))/(2/(-28)). Suppose -5*a + 2*t + 489 = 0, -3*t - 474 = -s*a - 87. What is the units digit of a? 9 Let m(b) = -4*b + 6. Let u(r) = -7*r - 1. Let k be u(-8). Let t be k/(-5) + 4 + 4. What is the units digit of m(t)? 8 Let m(b) be the first derivative of 5*b**3/3 - 3*b**2/2 + 6*b + 23. Let x be m(3). Suppose -t = 1 - x. What is the units digit of t? 1 What is the hundreds digit of 362/5*((-3)/(-2))/((-84)/(-3640))? 7 Let j(i) = 99*i**2 - 92*i + 6. What is the tens digit of j(11)? 7 Suppose 4*h = -t - 26, 21*t - 18*t - 7 = 5*h. What is the tens digit of (t + -50)/(-3 + 0 + 1)? 2 Suppose -2*p = -5*h - 655, -13*h + 512 = -17*h + 4*p. Let n = h - -174. What is the units digit of n? 1 Suppose -307679 - 372374 = -26*g + 190661. What is the tens digit of g? 8 Let s(m) = -m**2 - 40*m - 16. Let o be s(-16). Let n be (-2 - -5) + 2*1. Suppose n*y - o = y. What is the tens digit of y? 9 Suppose -5*x = -2*h - 6, 5*x - 16 = -4*h + h. Let n(m) = 9 + 1 - 2 - 2 + 4*m. What is the units digit of n(h)? 4 Let w(u) = -35*u - 14. Let h be w(-9). Suppose -7*g + h = 42. What is the units digit of g? 7 What is the tens digit of (-978252)/(-54) - 74/(-333)? 1 Let t = -11180 + 23332. What is the units digit of t? 2 Suppose 46 = 5*a + 1. Suppose 0 = -a*x + 950 - 176. What is the tens digit of x? 8 Let f = 16 + -14. Suppose f*y = -3*p - 8, 3*p + 2*y = -3*y + 7. What is the units digit of 2 - 21/9 - 1340/p? 3 Suppose -65*l - 3*y = -66*l + 1854, 3*l = -5*y + 5520. What is the thousands digit of l? 1 What is the hundreds digit of (-6 - 46/(-6))*((-11924)/(-4) - 2)? 9 Let n(t) = t**3 + 26*t**2 + 36*t + 6. Let a be n(-11). Suppose -3*f + a = -192. What is the hundreds digit of f? 5 Let v be -3*1 - (5 - 8). Let i = 240 + -239. What is the tens digit of (0 + i)*(59 - (v - 2))? 6 Let w = 9300 - -1289. What is the units digit of w? 9 Suppose 3*y - 265 = 5*c, -4*y + y = -c - 257. Let v = y - 82. Suppose -2*u + 60 = v*u. What is the units digit of u? 2 Suppose -15*m + 20 = 5. Let p be 1*(8 - 5) - m. Suppose x + 173 = i, 697 = 2*i + p*i - 3*x. What is the hundreds digit of i? 1 Let b = 36 + -37. What is the units digit of 282 - (b/(-5) - (-224)/(-70))? 5 What is the tens digit of (-652794)/(-78) + (-36)/234? 6 Let w be (-15477)/(-28)*40/15. Let n = w - 843. What is the units digit of n? 1 Suppose -2*b + 195 + 241 = 5*c, 3*b + c = 628. Suppose 6*q = 4*q - 2*n + b, 0 = -2*q - n + 203. What is the tens digit of q? 9 Suppose 25564*w = 25556*w + 93584. What is the thousands digit of w? 1 Let k(y) = 6*y**2 - 6*y - 16. Let x(w) = -w**3 - 6*w**2 + 9*w + 19. Let t be x(-7). What is the tens digit of k(t)? 0 Let r(j) = -8 - 18 - 5*j + 14*j**2 - 4*j - 5*j**3 + 4*j**3. Suppose 4*f = -20 + 64. What is the units digit of r(f)? 8 Suppose 5*g - 9 = 2*q - q, -g + 5 = 3*q. Let l(m) = 2*m**3 - m**3 - 9*m**2 + 26*m**g + m**2 - 10 - 28*m. What is the hundreds digit of l(-19)? 1 Suppose 0 = 4*j + 2*g - 22, 2*j + 5*g = 5*j - 36. Suppose -3*o + 1490 = j*o. What is the tens digit of o? 4 Suppose 0 = 5*x - 0*x + 3570. Let u = x - -1119. What is the hundreds digit of u? 4 Suppose -4*p - 4*c + 1468 = -5*c, -2*p = -4*c - 734. Let s = -271 + p. What is the units digit of s? 6 Let u = -7553 - -13377. What is the tens digit of u? 2 Let j(s) = 11*s**2 - 73*s + 689. What is the thousands digit of j(12)? 1 Let l(f) = 4*f**3 + 3*f + f**3 - 6*f - 4*f**3 + f**2. Let o be l(-2). Suppose -o*r = -10*r + 528. What is the units digit of r? 6 Let s = 81230 + -40619. What is the tens digit of s? 1 Let t(p) = 45*p + 3. Suppose 2*u = -2*c + 6, 6*c - 3*c + u = 5. Let f be t(c). Suppose 450 - f = 3*l. What is the tens digit of l? 3 Let v(a) = -11*a - 6. Let c be v(-1). Suppose 0 = -r - h - 59, -2*r - c*h - 27 = 76. Let l = 104 + r. What is the units digit of l? 0 Let m(j) be the second derivative of 9*j**4 - 3*j**3/2 + 6*j**2 - j + 22. What is the hundreds digit of m(3)? 9 Let a(t) = 3*t**2 + 9*t + 6. Let s(f) = 7*f**2 + 18*f + 12. Let b(r) = 5*a(r) - 2*s(r). Let j be b(-11). What is the tens digit of j/42 - 974/(-6)? 6 Let g = -33 + 37. Suppose 5*s = -3*f + 40, 2*f + g = -s + 26. What is the tens digit of 1 + 2 + (f - -8)? 2 Suppose 20*u - 11899 = 15801. Suppose -5*w = 5*l - u - 1530, -2*l - 4*w + 1164 = 0. What is the hundreds digit of l? 5 What is the hundreds digit of -7 + 520710/54 + 2/9? 6 Suppose 4*k + 21 - 1 = 0, 3*k = -3*f + 372. Suppose -3*n = 3*t - f, 4*t = t - 4*n + 124. Suppose 4*p - t = -0*p. What is the tens digit of p? 1 Let k(r) = -10*r + 84. Let t be k(6). Suppose 2885 = t*i - 2395. What is the hundreds digit of i? 2 Let b be (-60)/(-8)*(80/(-15) - -6). What is the tens digit of (11085/75)/(1/b)? 3 Suppose 5*y - 1925 = -5*s + 3*s, 2*y - 2860 = -3*s. What is the tens digit of s? 5 Let t be 2/(-20) + 27621/810. Suppose 3264 = -t*s + 38*s. What is the tens digit of s? 1 Let c be (86/(-10) - -1)/((-68)/(-170)). Let a = 100 - c. What is the units digit of a? 9 Let p = -437 - -486. Suppose -p = -9*v - 4. What is the units digit of v? 5 Suppose 38*w = 4*u + 34*w - 11968, -5*u + 4*w = -14958. What is the thousands digit of u? 2 What is the thousands digit of (0 + -1 - 0)/((-46)/2603646)? 6 Let f(c) = -171*c**2 + 8 + 96*c**2 + 105*c**2 - 4*c. Let m be 4/(-6)*3*-1. What is the hundreds digit of f(m)? 1 Let c = -1913 + 7503. What is the units digit of c? 0 Let a(q) = 25*q**3 - q**2 - 2*q - 1. Suppose w - 5 = -g - 4, 5*g = -w - 11. Suppose -3*i = -w*k - 6*i - 4, 5*k + 4*i = -6. What is the units digit of a(k)? 1 Suppose 0 = 5*n - 906 - 1074. Suppose 11*r = -44 + n. Suppose -179 = -3*l - r. What is the tens digit of l? 4 Let y = 45285 - 16135. What is the ten thousands digit of y? 2 Suppose 668*s - 321222 = 646*s. What is the tens digit of s? 0 Suppose -13*t + 4916 = 1159. What is the tens digit of t? 8 Suppose -3*s - 5*z + 30840 = 0, 0 = 2*s - z - z - 20560. Suppose 15*x = -5*x + s. What is the hundreds digit of x? 5 Suppose 21*j + 99 = -27. Let f(n) = -220*n + 51. What is the thousands digit of f(j)? 1 Let n(i) = -i**2 + 1. Let r be n(-1). Let d = -125 + 127. Suppose -5 = y, r*y - 5*y + 327 = d*l. What is the tens digit of l? 7 Suppose 221*z - 1164326 = 353060. What is the hundreds digit of z? 8 Let s(o) = 37*o**2 - 21*o - 237. Let z be s(-10). Suppose z = -9*q + 14833. What is the thousands digit of q? 1 Let p be (-793)/(-13)*-1*2/2. Let z = 61 + p. Suppose z = -l - 4*m + 111, -l = m - 3*m - 123. What is the hundreds digit of l? 1 Suppose 0 = -3*n + 6, 8*s - 5*s + 4*n = 530. What is the units digit of s? 4 What is the tens digit of (160/(-4))/5 -
{ "pile_set_name": "DM Mathematics" }
e common denominator of -79/4 and 0 - (-1 + 165/z). 4 Let z = 41 + -30. What is the least common multiple of 8 and z? 88 Let l = -131577/154 + 6004/7. Calculate the common denominator of l and -97/6. 66 What is the smallest common multiple of 2/(6/33) - 27/(-9) and (0 - 1) + -1 + 28? 182 Suppose -3*d - 3*x = -39, -3*d - x + 29 = -0*d. Calculate the lowest common multiple of 18 and d. 72 Suppose -2*m + 4*m - 20 = -4*r, -5*m + 5*r + 20 = 0. What is the least common multiple of 10 and m? 30 Let k = -6 - -10. Suppose 2*b = 88 + 44. What is the lowest common multiple of b and k? 132 Let l = -33004631314393/15510 - -8511832681/4. Let h = 2/1551 - l. Calculate the common denominator of -37/4 and h. 20 Let n be 1 - (2 + -2 + -2 + -1). Let b(x) be the second derivative of x**5/20 - x**4/3 + x**3/3 - 3*x**2 - x. What is the lowest common multiple of b(n) and 10? 10 Suppose -y - 115 = -3*h, 51 = 3*h + 2*y - 52. Let s = h - 21. Calculate the smallest common multiple of 14 and s. 112 Suppose -25 = -0*b - b. Suppose 2*g = -3*g + b. What is the smallest common multiple of ((-4)/3)/((-10)/15) and g? 10 Let y = 1395177/40 + -34882. Find the common denominator of 11/40 and y. 40 Suppose -4*i + 9*i = 0. Suppose -3*m + i*m = -26307. Let a = m - 140361/16. Calculate the common denominator of a and -87/14. 112 Calculate the least common multiple of (40/(-15))/(4/(-6)) and 4. 4 Let m = -2537/20 - -127. Find the common denominator of (1035/(-240))/((-6)/(-4)) and m. 40 Suppose 2*k - 4 = 3*f, 2*k + 2 = 5*f + 6. Let p(r) = -11*r**3 + r**2 - r - 1. Calculate the lowest common multiple of p(-1) and k. 12 Let i = 6/331 + 15491/3641. Let f = 19659/874 + 3/437. What is the common denominator of i and f? 22 Suppose 0*d = 5*d - 40. What is the lowest common multiple of d and 1? 8 Suppose 13 = 5*o - 7. Suppose 2*k + 4*d = 11 + 21, o*k - 2*d - 44 = 0. What is the least common multiple of k and -3 + (19 - (-8 + 4))? 60 Let o(n) = -2*n - 8. Calculate the lowest common multiple of o(-15) and 18. 198 Suppose -50 = 4*w + 2*c, -w + 3*c - 51 = 2*w. Suppose 0 = 3*h - 4*h - 4*y + 19, y - 4 = 0. What is the lowest common multiple of h and 4/(w + -2)*-4? 3 Let d(t) = 5*t**2 - 2*t - 1. Suppose f + 20 = 6*f. Suppose j + 25 = 4*y + f*j, -3*j - 10 = -y. What is the least common multiple of y and d(-1)? 42 Let i(o) = -23*o + 1. Let w(d) = -47*d + 2. Let g(f) = -7*i(f) + 3*w(f). Let l = -91/19 - 947/76. What is the common denominator of l and g(1)? 4 Suppose -2*g + 4*n - 4 = -6, n = 4. Suppose 9 = 2*a + a. What is the lowest common multiple of g and a? 9 Let m be (-2)/4 - 18/(-4). What is the common denominator of 43/22 and m/10 + 938/(-220)? 22 Let p be (47 + 1)/((-3)/(-2)). Suppose -92 = -7*y + 3*y. Suppose -5*w + p = -y. What is the lowest common multiple of w and 3? 33 Suppose -2*d + 0*d = -6. Let v(b) = 7*b - 3. Calculate the lowest common multiple of 22 and v(d). 198 Let c be 4/5 - (-2)/10. Let o be 2/(c - 0 - 3). What is the common denominator of (-121)/(-10)*(-2 - o) and 89/4? 20 Let q = 31853/28 - 1138. Find the common denominator of q and 45/14. 28 Let k be 6*5*87/(-207). Let b = -2379/92 - k. What is the common denominator of 62/3 and b? 12 Suppose -18 - 10 = -4*c. What is the lowest common multiple of c and 8? 56 Suppose 0*s + 5*s = 40. Calculate the least common multiple of 4 and s. 8 Suppose p - 16 = -p + 4*r, -1 = -p - 5*r. Suppose 5*f - 4 = p. Suppose -f*b - 6 = -4*y - 3*b, 3*y = 4*b - 5. What is the least common multiple of 11 and y? 11 Let t(j) = 3*j - 9. Let a be t(4). Calculate the smallest common multiple of 18 and -1*(-4 + a) + 21. 198 Let a = 172573857/20 + -8631925. Suppose -3*f + 3*s + 9691 = s, -4*s + 3235 = f. Let u = a + f. What is the common denominator of u and -85/14? 140 Suppose 9 = 3*q, 0*q = 3*k + 5*q - 27. Calculate the least common multiple of 7 and k. 28 Let w = 1201 - 656. Let z = -928865 + 14853135/16. Let f = z + w. What is the common denominator of f and 145/6? 48 Let k(z) = -z**2 + 7*z - 3. Let q = -2 + 6. Suppose 3*w = 6, -n = 2*n + q*w - 23. What is the smallest common multiple of k(6) and n? 15 Let t = 155951/720 - 219/80. Let g = t + -1695/8. Let i = g + -7/8. What is the common denominator of i and 4/9? 9 Let k(s) = s**3 - 3*s**2 - s + 4. Calculate the least common multiple of 5 and k(3). 5 Let v = 18 - 16. Calculate the lowest common multiple of 42 and v. 42 What is the common denominator of ((-1)/(-8))/((-75)/(-1540)) and -47/27? 270 Let g = -2564/9 - -289. Calculate the common denominator of g and 8/(-20) - (-196)/(-110). 99 Suppose -w + 42 = 6*w. What is the least common multiple of 22 and w? 66 Let w(x) = 4*x - 18. What is the lowest common multiple of 2 and w(7)? 10 Find the common denominator of (-132)/(-231)*(174/(-56))/(-3) and -87/8. 392 Let o be (-26026)/40 + (-7 - -8). Let x = -646 - o. Calculate the common denominator of x and 89/16. 80 Suppose -24*f - 8 = -28*f. What is the lowest common multiple of 10 and f? 10 Find the common denominator of (-2)/(-4) - (-94)/(-16) and 29/10. 40 Let i = -20 - -87/4. What is the common denominator of 55/9 and i? 36 Let i = -47 + 51. What is the smallest common multiple of i and 14? 28 Suppose 3*a - 15 = -2*b + 2*a, 0 = b - a. Let k be 5 + 1 + (2 - 3). Suppose -5*t - 2*f = -k, 5*f = t + t - 2. Calculate the smallest common multiple of b and t. 5 Let o(d) = -7*d - 2. Let r be o(-2). Let a = -2009/759 + -62/69. Calculate the common denominator of a and (50/24)/(9/r). 99 Let j(q) = q**3 + 5*q**2. Let y be (1 + 1)/(12/(-30)). Let n be j(y). Suppose -2*h + 5*h - 15 = n. What is the lowest common multiple of 10 and h? 10 Let a be ((-10)/(-4))/((-8)/(-16)). Let m be (4/5)/(1/a). Suppose 2*o - 25 = -5*z, -m*z - z + 25 = 5*o. What is the lowest common multiple of 5 and z? 5 Let k(r) = 2*r + 2. Let w be k(7). Suppose 5*g + 2*o + 0*o = w, -3*o - 26 = -5*g. Calculate the lowest common multiple of g and 12. 12 Let j = 3999 - 31929/8. Calculate the common denominator of 67/44 and j. 88 What is the common denominator of 33 and ((-2)/(-4))/((-6)/206)? 6 Let n be ((-3694)/(-180))/1 + 0. Let r = 164/9 - n. Let o = -7503/1630 + 1/326. Find the common denominator of o and r. 10 Suppose 5*d - 5 = -x + 2*x, -x = -d - 3. Suppose -4*g = -3*q - 144, 0*g - d*g = -3*q - 78. Let i = 175/153 + -10/17. What is the common denominator of i and g? 9 Let z = -2321/56 - -319/7. Calculate the common denominator of z and 97/14. 56 Let i(m) = -m**2 + 7*m + 3. Let o be i(7). Suppose -2*u + 1 = -9, -4*u = o*p - 44. What is the smallest common multiple of 10 and p? 40 Let d = 12429/4 - 3089. What is the common denominator of d and -89/6? 12 Let u = 3/397 + -16283/794. Calculate the common denominator of 14/5 and u. 10 Let o = -36 + 47. Calculate the lowest common multiple of 28 and o. 308 Let r = 12 + -3. Let u(c) = -16*c**2 + 4 + 4*c**2 + 11*c**2 + 10*c. What is the lowest common multiple of u(r) and 6? 78 Let x be 0 + 0 + (-1 - 1). What is the lowest common multiple of (-8 + 26)*x/(-4) and 9? 9 Suppose 0 = -y + 4*u - 0*u + 37, -3*u = -4*y + 174. Find the common denominator of y and -76/9. 9 Let a(p) = -12*p**3 + 2*p**2 - 1. Let c be a(1). What is the lowest common multiple of (6 + c)/((-2)/4) and 5? 10 What is the lowest common multiple of (1 + 2 + -2)*8 and 9? 72 What is the lowest common multiple of 4 - ((3 - 4) + -1) and 18? 18 Let s(t) = -t**2 + 16*t - 12. Let i be s(14). Let y = -11 + i. What is the smallest common multiple of y and 9? 45 Let m = -2557/156 - -3/52. Let l = 73 + -765/11. Calculate the common denominator of m and l. 33 Let h = 463/11 - 446/11. What is the common denominator of h and -67/20? 220 Suppose 12*d = 9*d + 66. Calculate the least common multiple of d and 10. 110 Let t = 1320/7 + -4573/28. Let i = -7401/1826 - 22/83. What is the common denominator of t and i? 44 Let l = 1 - -14. Find the common denominator of ((-92)/(-14))/((-12)/l) and -61/18. 126 Let n(l) = l**3 - 10*l**2 + 4*l + 2. Let q be n(10). Let p be -12*(0 - (-5)/4). Find the common denominator of 65/8 and (-26)/q*p/(-2). 56 Let a be -1 - (2 + -8 - 1). Let x be (a/(-100))/(4/8). Let p = -1863/100 + x. Find the common denominator of -83/6 and p. 12 Let m(d) = d**2 + 21*d - 4. Calculate the smallest common multiple of 14 and m(5). 126 Find the common
{ "pile_set_name": "DM Mathematics" }
11 = 0. What is the fourth smallest value in -0.07, k, 0.11, -3? 0.11 Let o be 2/((-26)/(-117)) - -14. Which is the third biggest value? (a) -3 (b) 0.9 (c) o a Let n = -0.333 + -0.667. What is the fourth biggest value in n, -0.02, -0.01, -0.3? n Let g = 8 + -8.3. Let f(b) = 2*b**3 - 21*b**2 - 12*b + 12. Let s be f(11). Let v be (s - 0)/(36/(-126)). What is the smallest value in g, -1/4, v, -2/5? v Let h = 1.1 + -1. Let t = -0.356 - -0.031. Let y = 4.675 - t. Which is the third biggest value? (a) 17 (b) y (c) h c Let g = -190662.731 - -190795. Let s = 0.269 - g. Let c = 132.5 + s. What is the smallest value in -0.2, c, 0.3? -0.2 Let y be (2/960)/(7 - (-130)/(-20)). Which is the smallest value? (a) 0.2 (b) y (c) 1 b Let u be (9/(-3) - 2)/1. Let b be -6*(25/(-10))/(-5) - -5. What is the biggest value in 7, b, u, -2? 7 Let v = -1/2 + 13/14. Let u = -10.3 - -10.1. Suppose 4*c + 0*j + 3*j = 22, 5*c + 5*j - 30 = 0. What is the fourth smallest value in u, v, c, -5? c Let r = 9566 + -9589. What is the third biggest value in r, 4, -1/3, 1/3? -1/3 Let j = -0.0595 - 1.9405. Let s = -0.02 + 0.32. Which is the third smallest value? (a) 0.06 (b) j (c) s c Let x = 348/25 + 2382/25. Let s = 110 - x. What is the biggest value in s, 14, 2/7, -1? 14 Let i be (3726/(-138))/(1/1). Which is the second biggest value? (a) i (b) 5/3 (c) -6 (d) -2 d Let k = -172.8 - -163. Let a = k - -12.8. Let o = 1 + 0. What is the second biggest value in o, 1/6, a? o Let a = -2922.1 + 2922. What is the biggest value in -152, 25, -4, a? 25 Suppose 45*i + 3 = 44*i. Let r = -17.33 - -15.33. What is the second smallest value in 1, r, -4, i? i Let o = -0.193 + -0.107. Let y = 92.7 - 84.7. Which is the third smallest value? (a) o (b) -3 (c) y c Suppose 0 = -4*i + 2*u - 500, -9*i - 2*u - 508 = -5*i. Let x be 3 - (2 - (4 + 628/i)). Let l = x - -58/315. What is the biggest value in 3/7, 0, l? 3/7 Let j = -0.297 - 6.203. Let u = 7.02 - 0.02. Let r = u + j. Which is the second smallest value? (a) r (b) 5 (c) 1/3 a Let r = 104156/3 + -34718. What is the fifth smallest value in 0.1, 3/4, r, 125, -2/9? 125 Let g = 43871/96 + -457. Let j be (-1419)/(-20240)*(-75)/(-54). Let z = j + g. Which is the third biggest value? (a) 0 (b) z (c) -3/4 (d) 1 a Let l = -13784.5 + 1280.5. Let n = 12453.03 + l. Let d = -51 - n. What is the smallest value in d, 0.1, 2/11? d Let h = -566.1256 - -566. Let w = h - 0.0744. What is the fourth biggest value in 1, -4, 0.5, w? -4 Let x(s) = 5*s**3 - 4*s**2 - 2*s - 21. Let z be x(-4). Let t = z - -1585/4. What is the third smallest value in 0.5, -4, t? 0.5 Suppose 0 = -5*k + 23 - 8. Suppose 0 = 4*t - 4*o + k + 9, -5*t - 3*o = 7. Which is the biggest value? (a) 0.08 (b) 1 (c) -3 (d) t b Let q = -1.2 - -0.9. Let k = q - 0.1. Let g = -908.1 + 908. Which is the second biggest value? (a) 0 (b) k (c) -3 (d) g d Let t = -0.19758 - -0.20758. Which is the third smallest value? (a) 1 (b) 23/4 (c) t b Suppose 0 = 4*q - 5*q - 5, 0 = -3*d - 3*q - 48. Let o = 63 - 67.9. Let w = o + 5. Which is the third smallest value? (a) 2/7 (b) w (c) d a Let z = 0.57 + -0.6. Let q = 12.5 - 5.47. Let h = z + q. Which is the third smallest value? (a) h (b) -4 (c) 2/7 a Let z be 644/(-372) - (-12)/186. Let n = -13/6 - z. Let h be (-2)/4*0 - 3. Which is the second biggest value? (a) h (b) -0.18 (c) n (d) -4/5 c Let m = -4769 - -4775. What is the biggest value in 49, 2/3, m? 49 Let d = 18 + -16. Let i = 1445 + -1444.8. What is the smallest value in -2/3, i, -1/4, d? -2/3 Let z = -139.9 - -153.48. Let u = 13 - z. Let y = -0.28 - u. Which is the smallest value? (a) y (b) 4 (c) 1/6 (d) -0.4 d Suppose 83*m = -4*m - 348. Which is the fourth biggest value? (a) -303 (b) -2 (c) m (d) -0.4 a Let d = -4.83 - -4.93. Let t = -0.311 + 0.331. What is the third biggest value in d, t, 7? t Let z = -236.3 - -263. Let v = 21.7 - z. What is the smallest value in -33, v, 0.1, 0? -33 Let o = 154.995 - -0.005. Let f = -170 + o. What is the biggest value in 2, -1/3, f? 2 Let f = 262/13 - 20. Let b = 0.991585 + -6.091585. What is the smallest value in f, b, 1/2? b Let w be 3/(-2)*4/15. Suppose -4*s = 5*j + 22, 4*s + 2*j - 31 = -59. What is the biggest value in s, w, -1/3, 0.5? 0.5 Let o = -11573 - -11572.5. What is the fifth smallest value in 3, -0.03, -2/5, o, -53? 3 Let m = 5 - 5. Let i be 1/(-14)*2*-6. Let h be (40/8 - 7)*(-2)/28*2. What is the second smallest value in h, i, m? h Let x = 3.1 + -16.1. Let s = 953 - 4764/5. Which is the third smallest value? (a) -2/7 (b) x (c) -3 (d) s a Let b = -801.5 - -802. Let v be (-4 + (-2 - -252))/2. What is the third smallest value in v, b, 4? v Let k = -543 - -543.3. What is the second biggest value in -3, -28/9, -1/6, -0.5, k? -1/6 Let i = -118 + -9. Suppose -512 = -4*d + 4*b, -5*d - b + 3*b + 628 = 0. Let v = i + d. What is the smallest value in v, -0.5, -3/7? v Let z = 0.07394 + 3.92606. Which is the biggest value? (a) 0.424 (b) z (c) 0.3 b Let f = -11124 + 11124. Which is the fourth smallest value? (a) 2 (b) f (c) -3/8 (d) 614 d Let v = 9034.8 - 9035.3. Let z = 0.74 - 0.04. Let g = z - 1. What is the third smallest value in g, 2, v, 4? 2 Let w = 1784.4 + -1781.4. What is the second smallest value in 41, 0.2, 1, w, 5? 1 Let l(q) = 12*q - 46. Suppose 2*k + 7 = 3*f, -2*k - 5*f = 18 - 51. Let t be l(k). What is the smallest value in -1, -0.5, t, 0.5? -1 Suppose -10 = -2*a + 3*o, 3*a - 15 + 0 = 4*o. Suppose 0 = 2*m + a - 1. Let i be (-78)/(-15)*m/(-4) - 2. What is the third biggest value in -2, i, 2? -2 Let w = -0.7763 + 0.736. What is the third smallest value in w, -0.3, 0.1? 0.1 Let a = -660 - -660. What is the second smallest value in 0.0142, -5, a? a Suppose -13*k - 52 = -9*k. Let y be (k/(-4))/13 - (-71)/(-252). Let h = 0.04 + -0.14. Which is the third biggest value? (a) 2 (b) h (c) 4 (d) y d Let v(p) = -p**3 + 3*p**2 + 16*p + 15. Let x be v(5). Which is the second smallest value? (a) x (b) 3 (c) -5 b Suppose 20*b - 108 = -348. What is the second smallest value in -2/3, -4, b, -1? -4 Let u = 0.12522 - 0.12322. Let f = 0.1 + -0.1. Which is the biggest value? (a) f (b) u (c) 4 c Suppose -12 - 12 = -6*z. Let w be (24/(-8))/(3/z). Let s be (-1 + w + 3)/5. Which is the fourth smallest value? (a) s (b) 0.4 (c) 0.2 (d) -0.2 b Let h = -3202.8 - -3203. What is the second biggest value in -11, 1/9, -5, 5, h? h Let k = -583/980 - 1/196. Let z be (2/(-3))/((-11)/(-3)). Let s be ((-7)/(-2))/((-276)/(-184)). Which is the third biggest value? (a) s (b) k (c) z (d) -0.4 d Let o be ((-2)/(-3))/((-180)/81). Let y = o - -4/5. Let m = -576.4 - -576. Which is the biggest value? (a) m (b) -0.3 (c) y (d) 1/7 c Let c = -0.16 - -1.56. Let m = 3.4 - c. Let u = 42 + -39. What is the second biggest value in u, -5, -7, m? m Let k = 39.7 + -33.7. Let s = -188.1 - -188. Which is the smallest value? (a) 0.3 (b) k (c) -1/3 (d) s c Let q = -24.574 - -24.674. Which is the third biggest value? (a) q (b) 4 (c) 1/2 (d) 3 (e) 115 d Let p be (-1)/1 - (-6)/5. Let x = -2 - -3. Let l be ((-42)/297)/(10619/(-33374)). Which is the third smallest value? (a) p (b) l (c) x c Suppose -t - 15 = 4*t - 5*g, 2*t = -5*g + 8. Let r be t/3 - 245/42*-10. Suppose -8 = r*z - 57*z. Which is the biggest value? (a) -4 (b) -1 (c) -0.1 (d) z c Let v = 6247 - 6246.87. Which is the second biggest value? (a) -5 (b) v (c) -4 c Let g = 758 + -170. Let t be -4 + (-1)/3 + g/135. What is the third smallest value in 0.4, t, -0.1? 0.4 Let u be (-30)/192*-8 - (-35)/20. Which is the second smallest value? (a) u (b) 0.23 (c) 0.4 c Let j = -1610.1 + 1610. Suppose -2*l = l + 363. Let s be (2 + 0)*11/l. What is the third smallest value in j, -3.4, s, -3? s Let z = -0.049 + 0.079. Let o = -1.3 + z. Let n = -1.271 - o. Which is the biggest value? (a) n (b) 0.1 (c) 2 c Let h = -0.2 - 0.2. Let f = -89 + 1688/19. Which is the second smallest value? (a) h (b) -3 (c) f (d) -2 d Let u = 4 - 5. Let z be (-84)/18*24/144. Which is the third smallest value? (a) -0.4 (b) u (c) z a Let g be 18 - (-30 - (-13020)/270). Let l be ((-6)/8)/((-45)/(-36)). What is the biggest value in -4, -10, g, l? g Let g be (-114)/24 + 1 - (5 - 10). What is the third small
{ "pile_set_name": "DM Mathematics" }
*2 + sqrt(684) + -4 + (6*sqrt(171)*-1)/(sqrt(9) + sqrt(144)*6). 1 + 594*sqrt(19)/25 Simplify (3*(sqrt(76) + sqrt(76)*1 + sqrt(76))*4)/((sqrt(480)/(sqrt(48)/sqrt(4)) + sqrt(40))/sqrt(10)). 18*sqrt(19) Simplify (sqrt(270)/sqrt(3))/(2*sqrt(500)) + ((0 + sqrt(8)*-2)**2 + sqrt(8) - sqrt(96)/sqrt(3)). -37*sqrt(2)/20 + 32 Simplify ((-6*(sqrt(132)*-1 + sqrt(132)))/((sqrt(96)*-4 - sqrt(96))/sqrt(8)))**2. 0 Simplify -4*(3 + -2*3*sqrt(42)/(sqrt(6) - (sqrt(18)/sqrt(3) + sqrt(6))) + 2)**2. -1108 - 240*sqrt(7) Simplify -1*(1 + sqrt(448)*-2 + -3*(sqrt(448) + (sqrt(448) - (sqrt(448) + sqrt(448)*-1 - sqrt(448))) + sqrt(448)) + sqrt(448) + sqrt(448)). -1 + 96*sqrt(7) Simplify ((sqrt(119) - 5*2*sqrt(119)) + (sqrt(119) - (sqrt(119) - (sqrt(119)*2 - sqrt(119) - sqrt(119)))*1))/(sqrt(77)/(1*((sqrt(11) - sqrt(99)) + sqrt(11)))). 9*sqrt(17) Simplify ((sqrt(7) - sqrt(21)/sqrt(3) - sqrt(7))*-6 + -5*sqrt(14)/sqrt(2) - (-4 + sqrt(1008) + sqrt(1008) + sqrt(1008)*1))**2. -280*sqrt(7) + 8591 Simplify (((sqrt(2299) - (-2 + sqrt(2299)*-2) - sqrt(2299) - (0 + -1*sqrt(2299))) + 3)*-3)**2. 2970*sqrt(19) + 186444 Simplify ((sqrt(99) - (sqrt(99) + 6*(sqrt(99) + sqrt(99) + sqrt(99)*-2) + sqrt(99) - sqrt(99)))/(sqrt(63)/(sqrt(35)/sqrt(5)))*-4)**2*6. 0 Simplify -2 + (sqrt(18) - (1*sqrt(2178) - sqrt(2178)) - -4*(sqrt(18) - sqrt(72)))/(sqrt(54)/(sqrt(9) + (1*sqrt(72))/sqrt(8))). -6*sqrt(3) - 2 Simplify -2*sqrt(4)/sqrt(2) + -5 - (sqrt(256)*1)/sqrt(8). -6*sqrt(2) - 5 Simplify -2 + 4*(sqrt(17) - ((sqrt(17) - (sqrt(68)/sqrt(4) + -4)) + sqrt(17)) - sqrt(187)/sqrt(44)). -18 - 2*sqrt(17) Simplify (sqrt(264)/(sqrt(36)/sqrt(6)))/(sqrt(4) + 6*sqrt(100)) + -4. -4 + sqrt(11)/31 Simplify -5*(-2 + (sqrt(1900) - (sqrt(1900) - (sqrt(1900) + ((sqrt(1900) - (sqrt(1900) + -1 + sqrt(1900))*4 - sqrt(1900)) + sqrt(1900) - sqrt(1900)))))**2)*2. -931140 + 5600*sqrt(19) Simplify (2*sqrt(132)*-2*-4)/(1*sqrt(12)*-5*6). -8*sqrt(11)/15 Simplify -4*(sqrt(153) - ((-2*sqrt(153))**2 + 1) - (sqrt(153) + (((sqrt(153) + 1)*-4 - sqrt(153))**2 - sqrt(153)) - sqrt(153))). 456*sqrt(17) + 17816 Simplify ((sqrt(208) - sqrt(208)*2*4)/sqrt(4))/((-3*sqrt(484)*3 - sqrt(484)) + sqrt(484)). 7*sqrt(13)/99 Simplify (((sqrt(209) - sqrt(209)*-3*-6) + sqrt(209) + sqrt(209))/sqrt(11))**2 + (1*sqrt(57)*5)/sqrt(3). 5*sqrt(19) + 4275 Simplify (2*((sqrt(1377) - sqrt(1377)*-1*4) + sqrt(1377) + -5 + -2*sqrt(1377)))**2*3. -4320*sqrt(17) + 264684 Simplify -4*((-2 + sqrt(720)*1)*-5 + -3) + -5. -33 + 240*sqrt(5) Simplify (sqrt(2400) - (sqrt(2400)*1 + sqrt(2400)))/sqrt(12) + sqrt(72)/sqrt(4) + (sqrt(16)/(sqrt(72) - sqrt(8)))**2 + 3. -7*sqrt(2) + 7/2 Simplify (5 + (sqrt(864) + (sqrt(864)*-1 - sqrt(864))*-6)/((-1*sqrt(1452) + sqrt(1452))*6 - sqrt(1452)))**2. -780*sqrt(2)/11 + 15193/121 Simplify 3 + ((sqrt(1053) + (sqrt(1053) - (sqrt(1053) + -2)))**2*-4 + sqrt(1053))*6 + -5. -25370 - 810*sqrt(13) Simplify (-5 + ((sqrt(162) - 6*(sqrt(162) + sqrt(162) + 1*sqrt(162) + sqrt(162) + sqrt(162))) + sqrt(162))*-5 + -4)**2. -22680*sqrt(2) + 3175281 Simplify (sqrt(80) + 2 + sqrt(80))**2 + sqrt(10)/sqrt(2)*-4 + (-1*sqrt(4235))/sqrt(7). 17*sqrt(5) + 324 Simplify (sqrt(17)*-2*5 + (2*sqrt(102))/sqrt(6))**2 - sqrt(102)/(1*(sqrt(6) - sqrt(36)/sqrt(6)) - sqrt(6)). sqrt(17) + 1088 Simplify ((sqrt(1584) - 6*sqrt(1584)*-2) + 3 - (sqrt(1584)*1*5 + -5))**2. 1536*sqrt(11) + 101440 Simplify 5 + 1*sqrt(13) + ((sqrt(130) - (sqrt(130)*3 + sqrt(130)))/sqrt(10))**2 - (4 + 1*sqrt(208)*-4)**2. -3222 + 129*sqrt(13) Simplify (sqrt(420)/(-3*sqrt(12)) + sqrt(35))/(sqrt(25)/(sqrt(5) + sqrt(35)/sqrt(7))). 4*sqrt(7)/3 Simplify ((2*sqrt(189))/sqrt(9)*6)/((4*(sqrt(70) + (sqrt(70) - sqrt(70)*-1)))/sqrt(10)). sqrt(3) Simplify (sqrt(1000) - -5*sqrt(1000)*-4)/(sqrt(500) - sqrt(500)*-2 - sqrt(500) - sqrt(1375)/sqrt(11)). -38*sqrt(2)/3 Simplify (-1*sqrt(875))/(((sqrt(405) - sqrt(45)) + sqrt(45))/sqrt(9)) + -1. -5*sqrt(7)/3 - 1 Simplify (-6*(sqrt(108) - (-3 + 0 + sqrt(108))**2) + 4 + 1)*-1. -707 + 252*sqrt(3) Simplify (((sqrt(187)*1*4 - sqrt(187)) + sqrt(187))*4)/(-5*sqrt(33)/sqrt(3) - sqrt(1584)*-2) + 4. 16*sqrt(17)/19 + 4 Simplify ((5 + 5*(5 + sqrt(51)/(sqrt(3) - (sqrt(3) + -2*sqrt(12)/sqrt(4)))))*3)**2. 1350*sqrt(17) + 36225/4 Simplify (6*(sqrt(475) + -1)**2 - -4*((0 + sqrt(475) + sqrt(475) - sqrt(475)) + sqrt(475)))*-3. -8568 + 60*sqrt(19) Simplify (-1*(sqrt(60) + sqrt(960)))/(1*sqrt(12)*-1). 5*sqrt(5) Simplify -4*sqrt(343) + -4 + (0 + sqrt(343) + -1)**2. -42*sqrt(7) + 340 Simplify ((sqrt(3) - ((sqrt(243)*-1)**2 + sqrt(243)))*3 + (sqrt(3) - ((sqrt(363)*-2)**2 + sqrt(363)))*-3)*-6. -21762 - 36*sqrt(3) Simplify ((-1*-4*sqrt(228)*-2)/(sqrt(48) - 2*sqrt(4800)))**2. 16/19 Simplify (-3*(2*sqrt(2160) + sqrt(2160) - sqrt(2160)) + sqrt(2160) + sqrt(2160))/(sqrt(55)/(2*sqrt(539))). -672*sqrt(3) Simplify -1 + ((sqrt(32)/sqrt(8))/sqrt(8))**2 + (6*sqrt(800))**2. 57599/2 Simplify (sqrt(140)/(sqrt(7)*-2) + sqrt(5) + -1 + -1 + 3)*-3. -3 Simplify 1*((sqrt(20)/(sqrt(10)*1) + 2 - (-3 + sqrt(6)/sqrt(3) + 4)) + 3). 4 Simplify 1 + (-1 + -1*sqrt(832))*4 + -4. -32*sqrt(13) - 7 Simplify ((sqrt(144) - sqrt(144)*-3)/sqrt(4))/sqrt(12) + ((sqrt(3) + 6*sqrt(3)*2)*5)**2. 4*sqrt(3) + 12675 Simplify (5 + sqrt(468)*3 + (0 + sqrt(637) - sqrt(637) - -5*-1*sqrt(13)))**2. 130*sqrt(13) + 2222 Simplify -2*(sqrt(252)*-2 + -2) + -2. 2 + 24*sqrt(7) Simplify -5 + -3*(2*sqrt(4320))/sqrt(10)*-4 + 3. -2 + 288*sqrt(3) Simplify ((sqrt(130) + (4*(sqrt(130)*1 - sqrt(130)) - sqrt(130)) + (sqrt(130) - -3*-2*sqrt(130)) + sqrt(130))/(-4*(sqrt(10) + sqrt(10) + sqrt(160))*-6))**2. 13/1296 Simplify ((-5*-1*sqrt(102))/(sqrt(24)/sqrt(4)*-4) + -5)*3. -15*sqrt(17)/4 - 15 Simplify 2 + 1*sqrt(833) + 2 - 6*(-5 + (sqrt(2057) + 1)**2). -12314 - 125*sqrt(17) Simplify (sqrt(36)/(4*sqrt(6) + sqrt(6)))/(3*sqrt(288)). sqrt(3)/180 Simplify ((sqrt(660) + sqrt(660)*-2)/sqrt(11) - sqrt(60) - sqrt(240)*-6)/(sqrt(300) + sqrt(300)*-2 - -1*sqrt(192)). -10*sqrt(5) Simplify (-6*(1 + sqrt(2)) + sqrt(2) + sqrt(2)*-1*-4)**2*-2 - 2*(2 + -1*sqrt(2) + sqrt(2) + sqrt(20)/(sqrt(10) + (sqrt(40) - sqrt(10))))**2. -85 - 28*sqrt(2) Simplify ((sqrt(144)/(sqrt(9) + (sqrt(9) + sqrt(81) - sqrt(9))) - sqrt(16))*5)/(sqrt(40)/(sqrt(160)/sqrt(2))). -15*sqrt(2) Simplify 1 + (4*(sqrt(153)*2 + sqrt(153)) - (sqrt(153) + -1 + 5 + sqrt(153) + sqrt(153)))**2. -216*sqrt(17) + 12410 Simplify -6*(-3*(sqrt(288) + -2) - (4 + (sqrt(288) - -2*sqrt(288))))**2. -62232 + 1728*sqrt(2) Simplify (((sqrt(1000) - (sqrt(1000) + -2*sqrt(1000)) - sqrt(10)) + sqrt(70)/(sqrt(7)*-2))/(-4*(sqrt(80) + sqrt(80)*1 + sqrt(80))))**2. 1369/4608 Simplify -3*((-4*sqrt(1700)*-1 + sqrt(1700))**2 + 1). -127503 Simplify ((sqrt(21) + sqrt(63)/(sqrt(3)*4))/(-5*sqrt(28) + sqrt(7)))**2*-1. -25/432 Simplify (-4*(-2 + (-1*sqrt(2736) - sqrt(2736)) + 4*sqrt(2736)*1))**2. -1536*sqrt(19) + 175168 Simplify 3*(-2 + 3 + (sqrt(32) - sqrt(64)/sqrt(2)) + -3). -6 Simplify -1*((sqrt(343) + 1 + 3)**2 + -1 + -4). -354 - 56*sqrt(7) Simplify ((sqrt(216)*-2)/sqrt(6)*-5)/((sqrt(12) - (sqrt(12) + ((sqrt(192) + sqrt(12) + sqrt(12))*-3 - sqrt(12))))*5). 2*sqrt(3)/19 Simplify (sqrt(325) + 4 + (sqrt(325) - (4 + sqrt(325))) + (sqrt(832) + sqrt(832)*4 + sqrt(832))*-2)**2. 107653 Simplify ((-2*sqrt(300) + 1 - (sqrt(300) - (5 + sqrt(300) + 0)))*-4)**2. -3840*sqrt(3) + 19776 Simplify (1*(sqrt(180)/sqrt(4)*4)/((-2*sqrt(36)/sqrt(4) - sqrt(9)) + sqrt(9)))**2. 20 Simplify -3 + (sqrt(143) + (sqrt(143) + sqrt(143) + (sqrt(143) - 1*sqrt(143))*-1 - sqrt(143)))/(sqrt(44) + (-2*sqrt(44) - sqrt(44))) + -4. -7 - sqrt(13)/2 Simplify (sqrt(1584) + -4*sqrt(1584) + 3 + 0 + sqrt(1584) + 5 + sqrt(1584))**2. -192*sqrt(11) + 1648 Simplify 5 + (5 + sqrt(972) + (sqrt(972) - (-1 + sqrt(972))))**2 + -2 + -2. 216*sqrt(3) + 1009 Simplify 1*(2 + (sqrt(13)*-3 + sqrt(13) + -3)**2)*1. 12*sqrt(13) + 63 Simplify (4 + sqrt(7) + 0 - (sqrt(7) + 2 + sqrt(7))*-3) + 4 + -2. 12 + 7*sqrt(7) Simplify 2*((sqrt(225) + -1*sqrt(225) - sqrt(225))/(3*sqrt(12)) + -4)**2. 40*sqrt(3)/3 + 217/6 Simplify (2*(-2*sqrt(132))/sqrt(12) + 3*(sqrt(11) + -1) + sqrt(11) + -5 + sqrt(11)*-1 + -4)**2. 24*sqrt(11) + 155 Simplify -2*((-1*(sqrt(1377) + (sqrt(1377) - (sqrt(1377) + 3))) + 5)**2 + -5). -2872 + 288*sqrt(17) Simplify (3*sqrt(810)*4)/(sqrt(25)/(sqrt(5) + sqrt(35)/(sqrt(7)*-5) - sqrt(5) - sqrt(5))). -648*sqrt(2)/5 Simpl
{ "pile_set_name": "DM Mathematics" }
38*s - 37379186. What is x(-5)? 4 Let t(j) = -j**3 - 158*j**2 + 6991*j + 1704. Calculate t(-194). 346 Let i(u) = -567*u - 1263. Determine i(-2). -129 Let h(w) = 11*w**3 + 19*w**2 - 1773*w - 5329. Calculate h(-3). -136 Let k(f) = -41402*f + 82790. Determine k(2). -14 Let g(s) = 15118*s + 90717. Calculate g(-6). 9 Let w(p) = 9*p**3 - 10*p**2 + 22*p - 95. Calculate w(3). 124 Let k(p) = -51*p + 829. Calculate k(18). -89 Let o(d) = -5*d**3 - 45*d**2 + 674*d - 21. Determine o(8). -69 Let f(v) = -v**3 + 5*v**2 - 193*v + 3380. Calculate f(12). 56 Let r(w) = -w**2 + 10890*w + 185435. Give r(-17). 16 Let u(v) = 86889*v + 1737741. Determine u(-20). -39 Let s(p) = -3816*p + 354902. Calculate s(93). 14 Let k(v) = 1015829*v - 23364087. Give k(23). -20 Let g(k) = 18*k**2 - 50*k - 331. Give g(6). 17 Let r(u) = -2*u**3 - 26*u**2 - 25*u + 223. Determine r(-8). -217 Let s(n) = n**3 + 2*n**2 - 147*n - 1030. Calculate s(-7). -246 Let h(b) = -418*b**3 + 2091*b**2 - 6*b + 11. Give h(5). 6 Let r(k) = -3*k**3 - 1945*k**2 + 895*k - 261559. Give r(-649). -12 Let k(c) = -12*c**2 + 476*c + 2439. Calculate k(-5). -241 Let z(x) = -642*x - 138575. Give z(-216). 97 Let u(t) = -6*t**2 - 1523*t - 11544. Determine u(-246). 18 Let i(k) = 289*k**2 - 196*k + 36. Give i(1). 129 Let b(g) = 119927*g + 719312. Determine b(-6). -250 Let c(m) = m**3 + 4*m**2 - 402*m + 764. What is c(17)? -1 Let k(d) = -21*d + 220. What is k(0)? 220 Let c(y) = -14*y**2 - 1240*y + 10801. What is c(8)? -15 Let a(l) = -40020*l + 240120. Determine a(6). 0 Let a(j) = -j**3 + 33*j**2 + 15483*j + 554. Determine a(-109). 9 Let f(c) = 11*c**2 - 380*c - 186215. What is f(-114)? 61 Let c(j) = 292*j**3 + j**2 - 71*j - 72. Determine c(-1). -292 Let l(c) = -c**3 - 12*c**2 - 1626*c + 12314. What is l(7)? 1 Let m(t) = -2*t**3 - 71*t - 369. Give m(-4). 43 Let u(f) = 3622*f - 2625956. Determine u(725). -6 Let s(b) = 77*b**2 - 71438*b - 16702. Calculate s(928). 2 Let r(f) = -f**2 + 51*f - 487. Determine r(37). 31 Let p(m) = -8004*m - 376434. Calculate p(-47). -246 Let t(x) = 2*x**3 - 12*x**2 + 60*x - 28. What is t(4)? 148 Let l(g) = -63*g**3 + 8*g**2 + 279*g - 286. What is l(1)? -62 Let l(h) = -141*h - 5420. Determine l(-35). -485 Let c(u) = -90*u**2 - 1426*u + 225. Calculate c(-16). 1 Let f(t) = -19*t**3 - 78*t**2 - 33*t - 98. Determine f(-4). 2 Let l(o) = -304*o**2 - 991*o - 221. Determine l(-3). 16 Let x(k) = -3*k**2 - 324*k + 2495. What is x(7)? 80 Let n(i) = 4*i**3 - 257*i**2 + 1027*i - 250. Determine n(4). 2 Let y(s) = 161121*s + 805495. What is y(-5)? -110 Let u(d) = 56*d**2 + 1687*d + 263. Calculate u(-30). 53 Let y(v) = -82177*v - 493029. Calculate y(-6). 33 Let m(p) = 10*p**2 + 39*p + 116. Determine m(-7). 333 Let d(i) = -187*i - 17. Determine d(2). -391 Let x(i) = 3*i**2 - 144*i + 424. What is x(30)? -1196 Let f(b) = -2*b**3 - 206*b**2 + 1105*b + 113810. Determine f(-103). -5 Let u(b) = -124*b**2 + 874*b - 77. Determine u(7). -35 Let c(n) = -n**2 - 49*n - 139. Determine c(-45). 41 Let m(c) = -24*c**2 - 57*c + 4121. What is m(12)? -19 Let b(q) = 3*q**3 + 22*q**2 - 43*q - 64. What is b(-8)? 152 Let y(t) = -55299*t + 42635529. What is y(771)? 0 Let m(t) = 361*t - 183202. What is m(508)? 186 Let q(r) = 9*r**3 - 3*r**2 + 202*r + 204. Determine q(-1). -10 Let j(a) = -5*a**3 - 109*a**2 + 212*a + 1693. Give j(-23). -9 Let m(o) = o**3 - 15*o**2 - 1069*o + 18784. Calculate m(18). 514 Let o(n) = 1442*n**2 + 27405*n + 43. Determine o(-19). -90 Let z(w) = 4*w**2 - 221*w - 3006. Give z(-12). 222 Let f(g) = 8*g**2 - 5020*g - 35129. Calculate f(-7). 403 Let j(b) = b**2 - 1893*b + 63219. What is j(34)? 13 Let s(g) = -5587*g + 446967. Calculate s(80). 7 Let q(a) = 9*a**2 + 309*a + 1407. Determine q(-5). 87 Let v(i) = -3*i**3 - 466*i**2 + 784*i - 17. Give v(-157). 140 Let z(j) = -5*j**3 + 188*j**2 - 95*j - 559. Calculate z(37). 33 Let z(n) = 2510*n + 7671. Determine z(-3). 141 Let w(q) = -3*q**2 - 428*q - 15267. What is w(-71)? -2 Let p(i) = -2*i**2 + 3454*i - 10365. Determine p(3). -21 Let t(j) = -j**3 + 7*j**2 + 777*j + 7118. Calculate t(35). 13 Let c(f) = -f**3 + 498*f**2 - 33103*f + 834. Calculate c(419). -4 Let m(l) = 4*l**2 + 156*l - 422. What is m(-50)? 1778 Let x(p) = p**3 + 61*p**2 - 20*p + 2624. What is x(-62)? 20 Let y(f) = -802*f - 534961. Determine y(-667). -27 Let p(a) = 228*a**2 - 3150*a + 10. Give p(14). 598 Let q(w) = 86*w + 768. What is q(-4)? 424 Let z(d) = 7*d**3 - 67*d**2 + 95*d - 90. Give z(8). -34 Let r(x) = -2*x**2 - 1891048*x - 1891047. Calculate r(-1). -1 Let h(f) = 2*f**3 + 2*f**2 + 344*f + 1028. What is h(-3)? -40 Let l(k) = -15*k**2 + 72*k - 205. Give l(3). -124 Let b(l) = l**2 - 87*l - 1401. Determine b(101). 13 Let f(g) = g**3 - 30*g**2 + 246*g - 3. What is f(20)? 917 Let k(n) = 2*n**2 - 367*n - 9567. Calculate k(-25). 858 Let h(r) = -35*r**2 + 684*r + 1190. Calculate h(21). 119 Let d(p) = -3*p**2 - 508*p - 3850. Calculate d(-8). 22 Let u(p) = 16*p**2 - 1826*p + 121. Give u(114). -107 Let z(g) = -7*g**2 + 125*g + 8538. Give z(45). -12 Let o(h) = 333*h + 3777. Determine o(-12). -219 Let f(m) = -4878*m + 31255. What is f(5)? 6865 Let i(d) = 4*d**3 + 267*d**2 - 39*d - 1381. Calculate i(-67). -3257 Let y(b) = -25452*b + 36879944. Calculate y(1449). -4 Let i(q) = -2*q**2 + 1100*q - 24356. Give i(23). -114 Let l(x) = -10*x**2 - 3733*x - 33472. Determine l(-9). -685 Let a(u) = 113097*u - 112578. Determine a(1). 519 Let z(p) = 165*p**2 + 22*p - 967. Calculate z(0). -967 Let v(d) = -13*d**3 + 4*d**2 + 409*d - 2045. What is v(5)? -1525 Let y(w) = -w**3 - 56*w**2 + 3464*w + 166473. Determine y(-72). 9 Let j(k) = 199571*k - 798352. What is j(4)? -68 Let s(p) = 13733*p + 41797. What is s(-3)? 598 Let b(k) = 3*k**2 + 133*k - 1947. What is b(13)? 289 Let c(o) = o**2 - 490*o + 51197. Determine c(145). 1172 Let o(y) = -y**2 + 1706*y - 17027. Give o(10). -67 Let p(k) = -15*k**2 - 2614*k - 7970. Calculate p(-3). -263 Let j(u) = -3284*u - 115938. What is j(-35)? -998 Let s(v) = -4*v**3 - 39*v**2 + 247*v + 89. Calculate s(-14). -37 Let i(g) = 11030*g - 452227. What is i(41)? 3 Let p(n) = -8736*n - 192089. What is p(-22)? 103 Let n(i) = i**3 + 167*i**2 - 17823*i + 2619. Calculate n(-241). -32 Let t(i) = 21*i**2 - 209*i + 463. Calculate t(7). 29 Let g(x) = -21118*x + 337904. Give g(16). 16 Let c(o) = 2*o**3 + 49*o**2 + 131*o + 9160. Give c(-28). 4 Let d(s) = -s**3 + 35*s**2 - 263*s + 59. What is d(10)? -71 Let o(t) = -2692*t - 45953. Calculate o(-17). -189 Let b(h) = -1454*h - 10141. Determine b(-7). 37 Let s(o) = 422101*o + 1266288. What is s(-3)? -15 Let q(l) = -33511*l + 368146. Give q(11). -475 Let z(s) = -19*s**2 - 1186*s + 527. What is z(0)? 527 Let k(g) = 13*g**2 - 3304*g + 39672. Calculate k(12). 1896 Let y(b) = -4*b**3 - 633*b**2 - 849*b - 210842. What is y(-159)? -8 Let i(y) = y**2 - 176*y + 4357. Give i(143). -362 Let i(a) = -a**3 - 21*a**2 - 373*a - 8367. What is i(-21)? -534 Let a(i) = i**2 + 705871*i - 8470592. Give a(12). 4 Let u(s) = s**3 + 122*s**2 + 919*s + 734. What is u(-114)? -64 Let b(t) = 2*t**3 - 96*t**2 + 118*t - 5672. Give b(48). -8 Let g(l) = -2*l**3 - 26*l**2 + 61*l + 3046. Determine g(9). 31 Let f(i) = 28*i - 824. What is f(25)? -124 Let u(g) = 5006*g + 550670. Determine u(-110). 10 Let w(p) = -p**2 + 453*p - 50851. Calculate w(206). 31 Let u(g) = -364*g**2 + 3807*g - 1615. Calculate u(10). 55 Let r(d) = -2*d**3 + 52*d**2 + 893*d - 6. Determine r(38). -728 Let x(y) = y**3 - 16*y**2 - 394*y - 1216. Calculate x(-4). 40 Let y(u) = u**3 - 5*u**2 - 105*u + 971. Calculate y(7). 334 Let v(k) = 216*k**2 + 2043*k - 63. Calculate v(-9). -954 Let n(h) = -2*h**2 + 1833*h + 246499. Calculate n(-119). 50 Let k(l) = -l**2 + 7362*l + 245. Calculate k(0). 245 Let c(v) = 122578*v + 490293. Calculate c(-4). -19 Let r(j) = 52*j - 2286. Determine r(15). -1506 Let x(o) = 160*o + 10646. What is x(-57)? 1526 Let w(q) = 5503*q + 5024240. Determine w(-913). 1 Let g(y) = -y**3 + 16*y**2 + 409*y - 24. Determine g(-14). 130 Let i(u) = -11*u**2 - 44*u + 78. Give i(3). -153 Let k(y) = -56910*y - 3528581. What is k(-62)? -161 Let m(b) = -205*b**2 - 5530*b + 5895. What is m(-28)? 15 Let a(m) = -2*m**3 - 137*m**2 + 1221*m + 6155. What is a(-76)? -1 Let k(v) = v**3 + 111*v**2 + 268*v + 42546. Give k(-112). -14 Let c(r) = r**
{ "pile_set_name": "DM Mathematics" }
-14981*m - 102 What is the i'th term of -2133518709, -2133518707, -2133518703, -2133518697, -2133518689, -2133518679? i**2 - i - 2133518709 What is the y'th term of 769, 1933, 3097, 4261, 5425, 6589? 1164*y - 395 What is the k'th term of -44268, -59962, -86118, -122736, -169816? -5231*k**2 - k - 39036 What is the q'th term of -62370, -62128, -61886? 242*q - 62612 What is the d'th term of -15615, -62350, -140255, -249336, -389599, -561050, -763695? -d**3 - 15579*d**2 + 9*d - 44 What is the w'th term of -45459, -181872, -409225, -727512, -1136727? w**3 - 45476*w**2 + 8*w + 8 What is the u'th term of 274, 332, 170, -212, -814, -1636? -110*u**2 + 388*u - 4 What is the u'th term of -16948, -34666, -52386, -70108, -87832, -105558, -123286? -u**2 - 17715*u + 768 What is the u'th term of 10020, 9526, 9032, 8538? -494*u + 10514 What is the o'th term of -29240028, -58480054, -87720078, -116960100, -146200120? o**2 - 29240029*o What is the i'th term of -12608011, -12608015, -12608019, -12608023, -12608027? -4*i - 12608007 What is the y'th term of 62689, 62720, 62809, 62986, 63281, 63724, 64345, 65174? 5*y**3 - y**2 - y + 62686 What is the j'th term of -2669709, -2669720, -2669741, -2669778, -2669837, -2669924? -j**3 + j**2 - 7*j - 2669702 What is the f'th term of 9898, 76987, 259086, 613699, 1198330, 2070483, 3287662, 4907371? 9584*f**3 + f**2 - 2*f + 315 What is the c'th term of -6519, -24479, -54407, -96303? -5984*c**2 - 8*c - 527 What is the j'th term of -39513, -79420, -119731, -160452, -201589? -j**3 - 196*j**2 - 39312*j - 4 What is the g'th term of 31115357, 62230718, 93346083, 124461452, 155576825, 186692202? 2*g**2 + 31115355*g What is the q'th term of -43031, -43059, -43119, -43223, -43383, -43611, -43919, -44319? -2*q**3 - 4*q**2 - 2*q - 43023 What is the t'th term of 168205, 335968, 503735, 671506, 839281? 2*t**2 + 167757*t + 446 What is the j'th term of -129468, -517498, -1164096, -2069262, -3232996? -129284*j**2 - 178*j - 6 What is the y'th term of -2555, -2386, -2223, -2060, -1891? y**3 - 9*y**2 + 189*y - 2736 What is the a'th term of -5867392, -5867388, -5867384, -5867380? 4*a - 5867396 What is the n'th term of 2597464, 2597467, 2597472, 2597479, 2597488? n**2 + 2597463 What is the d'th term of 134474, 134476, 134486, 134504, 134530, 134564? 4*d**2 - 10*d + 134480 What is the r'th term of -65, 215, 799, 1687, 2879? 152*r**2 - 176*r - 41 What is the s'th term of -62651, -125334, -188063, -250856, -313731, -376706, -439799, -503028? -3*s**3 - 5*s**2 - 62647*s + 4 What is the k'th term of 39335, 156663, 352203, 625949, 977895? -k**3 + 39112*k**2 - k + 225 What is the p'th term of 298676, 597387, 896126, 1194893, 1493688? 14*p**2 + 298669*p - 7 What is the l'th term of -288117, -576229, -864341, -1152453, -1440565, -1728677? -288112*l - 5 What is the p'th term of 398393, 796785, 1195177, 1593569, 1991961, 2390353? 398392*p + 1 What is the x'th term of 2433, 5540, 8653, 11772? 3*x**2 + 3098*x - 668 What is the n'th term of -23848, -23911, -24016, -24163? -21*n**2 - 23827 What is the w'th term of 14167, 28226, 42207, 56104, 69911, 83622, 97231, 110732? -w**3 - 33*w**2 + 14165*w + 36 What is the k'th term of -1598, 1227, 4052, 6877? 2825*k - 4423 What is the x'th term of -1798843659, -1798843657, -1798843655? 2*x - 1798843661 What is the t'th term of -31022, -29470, -26884, -23264, -18610? 517*t**2 + t - 31540 What is the s'th term of 14296615, 28593195, 42889775? 14296580*s + 35 What is the d'th term of -1149544, -1149604, -1149662, -1149718, -1149772, -1149824, -1149874? d**2 - 63*d - 1149482 What is the f'th term of 115023763, 230047525, 345071287? 115023762*f + 1 What is the g'th term of 18724, 38126, 57528, 76930? 19402*g - 678 What is the r'th term of -25, -8, 125, 446, 1027, 1940, 3257, 5050? 12*r**3 - 14*r**2 - 25*r + 2 What is the i'th term of 3124657, 3124586, 3124467, 3124300, 3124085? -24*i**2 + i + 3124680 What is the j'th term of -475572, -475570, -475566, -475560, -475552, -475542? j**2 - j - 475572 What is the x'th term of -9835, -19667, -29499, -39331, -49163? -9832*x - 3 What is the i'th term of -6900, -13538, -20194, -26874, -33584, -40330, -47118? -i**3 - 3*i**2 - 6622*i - 274 What is the b'th term of 197501, 197497, 197493, 197489, 197485? -4*b + 197505 What is the l'th term of -16342612, -16342617, -16342622? -5*l - 16342607 What is the p'th term of 59418, 61749, 64080, 66411, 68742? 2331*p + 57087 What is the q'th term of 870, 1974, 3448, 5286, 7482, 10030? -q**3 + 191*q**2 + 538*q + 142 What is the x'th term of 44302, 43775, 43248, 42721, 42194, 41667? -527*x + 44829 What is the p'th term of -185839, -1486454, -5016483, -11890564, -23223335, -40129434, -63723499? -185773*p**3 - 69*p**2 + 3*p What is the x'th term of 856095, 856056, 855993, 855906, 855795, 855660, 855501? -12*x**2 - 3*x + 856110 What is the b'th term of 329795934, 659591866, 989387798? 329795932*b + 2 What is the g'th term of 1057, 437, -1139, -4115, -8935, -16043, -25883, -38899? -74*g**3 - 34*g**2 + 1165 What is the w'th term of 2340604, 4681207, 7021810, 9362413? 2340603*w + 1 What is the m'th term of 2221, 6960, 14861, 25924? 1581*m**2 - 4*m + 644 What is the j'th term of -37617, -74672, -111729, -148788? -j**2 - 37052*j - 564 What is the i'th term of -2592459, -2592447, -2592421, -2592375, -2592303, -2592199? i**3 + i**2 + 2*i - 2592463 What is the k'th term of 1785, -4955, -28745, -78111, -161579? -1421*k**3 + k**2 + 3204*k + 1 What is the q'th term of 42887, 42875, 42869, 42869? 3*q**2 - 21*q + 42905 What is the b'th term of -223723, -894903, -2013553, -3579673, -5593263, -8054323? -223735*b**2 + 25*b - 13 What is the h'th term of 42851, 43613, 44373, 45125, 45863? -h**3 + 5*h**2 + 754*h + 42093 What is the b'th term of -12040, -23993, -35932, -47857? 7*b**2 - 11974*b - 73 What is the o'th term of -26700, -48560, -65584, -77772, -85124? 2418*o**2 - 29114*o - 4 What is the d'th term of 40373, 80623, 120737, 160721, 200581, 240323, 279953, 319477? d**3 - 74*d**2 + 40465*d - 19 What is the o'th term of -2719597, -2719593, -2719589, -2719585? 4*o - 2719601 What is the x'th term of -103676, -414206, -931756, -1656326, -2587916? -103510*x**2 - 166 What is the k'th term of -28796985, -28796974, -28796965, -28796958? -k**2 + 14*k - 28796998 What is the u'th term of 360153, 2881189, 9724001, 23049477, 45018505? 360148*u**3 + 5 What is the h'th term of -2414, -1662, 292, 4048, 10206, 19366, 32128, 49092? 100*h**3 + h**2 + 49*h - 2564 What is the x'th term of -8271, -34290, -78057, -139572, -218835, -315846, -430605? -8874*x**2 + 603*x What is the n'th term of -29279, -57537, -85795, -114053? -28258*n - 1021 What is the r'th term of -44310, -176520, -396870, -705360, -1101990, -1586760, -2159670? -44070*r**2 - 240 What is the h'th term of 5616002, 5615996, 5615990, 5615984, 5615978? -6*h + 5616008 What is the q'th term of 224, 866, 1876, 3200, 4784, 6574, 8516, 10556? -9*q**3 + 238*q**2 - 9*q + 4 What is the l'th term of 164297, 164314, 164333, 164354, 164377, 164402? l**2 + 14*l + 164282 What is the s'th term of -270040, -270046, -270058, -270076, -270100? -3*s**2 + 3*s - 270040 What is the g'th term of -200, -1182, -3830, -8984, -17484, -30170, -47882, -71460? -140*g**3 + 7*g**2 - 23*g - 44 What is the b'th term of 8829, 17164, 25459, 33714? -20*b**2 + 8395*b + 454 What is the l'th term of -818, -809, -788, -755? 6*l**2 - 9*l - 815 What is the m'th term of 354589, 354494, 354329, 354088, 353765, 353354? -m**3 - 29*m**2 - m + 354620 What is the u'th term of 3948024, 7896048, 11844072, 15792096? 3948024*u What is the o'th term of -366017, -732886, -1099755, -1466624, -1833493? -366869*o + 852 What is the f'th term of -15866, -79947, -186744, -336251, -528462, -763371? f**3 - 21364*f**2 + 4*f + 5493 What is the k'th term of 367480, 2940441, 9924360, 23524717, 45946992, 79396665, 126079216, 188200125? 367580*k**3 - k**2 - 96*k - 3 What is the f'th term of -1642, -6545, -14712, -26143, -40838, -58797? -1632*f**2 - 7*f - 3 What is the i'th term of 2411674, 2411640, 2411606, 2411572? -34*i + 2411708 What is the f'th term of 365786, 1463053, 3291804, 5852039, 9143758? 365742*f**2 + 41*f + 3 What is the b'th term of 569752, 1139536, 1709318, 2279098, 2848876, 341
{ "pile_set_name": "DM Mathematics" }