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together -0.0917379 and 5. 4.9082621 What is 0.1868 - 2? -1.8132 What is the distance between -48.77 and -1? 47.77 Work out 0.33 - -1.47. 1.8 Calculate -15.69 - 31. -46.69 What is 6316 + 77? 6393 Put together -83 and 0.133. -82.867 Add -204 and 0.5. -203.5 Add 17 and -0.03826. 16.96174 What is -1.26 less than -3.8? -2.54 Add together 0.104 and -13.536. -13.432 Calculate 2 - 0.119. 1.881 Work out -0.116 + -120. -120.116 -5705 - 0.44 -5705.44 What is the difference between 11 and -16682? 16693 What is -13 take away 90784? -90797 -0.058868+0.1 0.041132 What is the difference between -7.36 and -0.5? 6.86 Work out 53268 - -38. 53306 Add together -21 and -0.16. -21.16 Put together -0.19 and 0.19. 0 -1+-296119 -296120 Calculate -9545 - 0.2. -9545.2 -0.3+-84.603 -84.903 Calculate 2 - 602.9. -600.9 Add together -10 and -39288. -39298 Total of -1182 and 30.1. -1151.9 What is 0.104075 less than -7? -7.104075 What is -5112 minus 0.8? -5112.8 What is -15.3663 less than -0.5? 14.8663 -0.3 - -2132 2131.7 Subtract 549778 from -0.2. -549778.2 Add -0.09 and 42.3. 42.21 What is the distance between 0.4 and -10.386? 10.786 What is the distance between 186.5 and -4? 190.5 Sum 60697 and 0. 60697 What is -54 minus 31? -85 Add -180 and 0.5. -179.5 4378 + 20.6 4398.6 0.0126 - 12 -11.9874 What is 0.04 take away 6052? -6051.96 Sum -0.03 and -64. -64.03 Work out -1489 - -9120. 7631 Add 426 and 30.2. 456.2 Calculate -0.037 + -11703. -11703.037 Work out -974 + 652. -322 Work out -18 + 0.0104. -17.9896 What is 3 less than -339874? -339877 Calculate -242788 + -0.5. -242788.5 Calculate -104678 + 5. -104673 Work out -0.2 - -0.0212. -0.1788 Total of -5 and 5961. 5956 Total of -0.4 and 288767. 288766.6 What is -5.64 minus -3.3? -2.34 0.3 + -0.60729 -0.30729 What is the distance between -6631 and -0.22? 6630.78 What is the difference between -4.74909 and 2? 6.74909 What is the difference between -1313 and 4? 1317 What is -35 - 28? -63 What is the difference between -4 and 79.68? 83.68 -58 - -9 -49 What is -0.2 less than -1303? -1302.8 -11297+0.4 -11296.6 -25728+11 -25717 0.05 + -150 -149.95 Work out 9.3 + -6.575. 2.725 Add 431 and -15.5. 415.5 What is -0.171 take away -193? 192.829 778 + 0.6 778.6 Work out 1 - 788. -787 What is 399168 less than 0? -399168 Work out -0.06295 + -1.8. -1.86295 Calculate 1.81 + 0. 1.81 Add together 413.8 and -3. 410.8 What is 226 - -0.05? 226.05 Put together -3 and 21687. 21684 What is 0.01 take away -0.63094? 0.64094 Add -3126 and -48. -3174 Sum -12 and 1.6. -10.4 What is 0.634 minus -7? 7.634 Work out -4.67 - 0.18. -4.85 Work out -682.3 - -0.1. -682.2 Subtract 1.605 from 3. 1.395 What is 540 - -69? 609 Sum 3 and 13.357. 16.357 Sum 11 and 1342. 1353 Sum -1 and -457040. -457041 Total of 14569 and 0.3. 14569.3 What is -0.521 take away 0.0298? -0.5508 Add together 23196 and 91. 23287 Add 6 and 6782. 6788 Sum 0.2849 and -9. -8.7151 What is -296388 minus -2? -296386 What is -53 take away 0.272? -53.272 Subtract 99 from -0.04. -99.04 Add 14362 and 0.1. 14362.1 What is -0.0278 - 40.8? -40.8278 Work out -154263 + -0.2. -154263.2 What is the distance between 316 and 9.1? 306.9 What is the difference between -0.5 and -92.8? 92.3 -0.09+-0.221084 -0.311084 What is 1254 + 7189? 8443 Sum -857447 and 0.1. -857446.9 What is -0.014 - 359.4? -359.414 -68 - 1.14 -69.14 -1870903 + -0.5 -1870903.5 Total of -0.1 and 2.641289. 2.541289 Sum -41575.16 and 0. -41575.16 0.0268 + 0.3 0.3268 What is 4 minus -0.02901? 4.02901 Work out 160989 - 5. 160984 Add together 0.068 and 0.026. 0.094 What is 2.6 plus -105? -102.4 11760 + -62 11698 What is -2 plus -3271375? -3271377 What is 1692 + -0.5? 1691.5 -3640.5+28 -3612.5 What is 7 - -4? 11 Subtract 0.381 from -3. -3.381 Calculate 0.008 + -0.1129. -0.1049 Subtract 2 from -0.16472. -2.16472 Sum 12 and -0.17897. 11.82103 What is the difference between -1005 and 17? 1022 What is 0.5 minus 20.75? -20.25 What is -1 plus -0.0395178? -1.0395178 Subtract 0.4 from 0.6976. 0.2976 Add together 0.09 and 161. 161.09 What is -5 + -361? -366 What is 22965.27 less than -0.3? -22965.57 Subtract -49 from -77. -28 Work out -0.09539 - 0.4. -0.49539 Add 2 and 443. 445 What is -310 take away -6? -304 Work out 1 + 0.07433. 1.07433 What is 1390 - 2388? -998 Put together -8.59 and 0.0052. -8.5848 What is -0.06119252 minus -0.5? 0.43880748 Total of -0.081076 and 5. 4.918924 What is the difference between -6.19 and -0.5? 5.69 Sum -12 and -61.322. -73.322 Work out -0.068 - 0.0835. -0.1515 What is -14.29 plus -0.49? -14.78 Sum -75 and -0.79. -75.79 What is -38225.96 minus -0.2? -38225.76 Calculate 0.807 + -255. -254.193 What is -4 less than -43051? -43047 Work out 2.8 + -56144. -56141.2 What is -3 take away 34? -37 Put together -1 and -779. -780 What is the difference between -0.263 and 0.4? 0.663 8.1 - 56 -47.9 Calculate 3.0959 + 44. 47.0959 Work out -2.6 + -168. -170.6 What is 152 less than -4944? -5096 What is the difference between 14.2104 and 45? 30.7896 What is 0.02 minus 0.143? -0.123 Sum -106 and -13.803. -119.803 -1043.418 - 0.03 -1043.448 Work out -20.09 + -2. -22.09 -0.2+-24.19 -24.39 Put together -78 and 17425. 17347 Work out -98 + -0.1194. -98.1194 What is -1265878 take away 0? -1265878 0.63 + 196 196.63 Subtract 23 from -286. -309 Calculate 56 - -474. 530 Calculate 0.300606 - -5. 5.300606 Calculate -138489 - 8. -138497 Work out -0.622 + 5. 4.378 Calculate 1.098 - -0.1. 1.198 0.11 + -1363 -1362.89 Add 336 and -0.033. 335.967 Total of 5675 and 36.4. 5711.4 Calculate -3.7701 + -6. -9.7701 Subtract -3 from -39917. -39914 What is -0.35 less than -4095? -4094.65 -2 - 3993 -3995 What is 1158.7 take away -0.1? 1158.8 What is -6 plus 2.5313? -3.4687 Calculate -0.015 - -4. 3.985 66+51 117 -54 - 27 -81 What is -0.047937 - -12? 11.952063 Work out 41 + -3.1. 37.9 What is 0.53211 less than 2? 1.46789 What is 1 minus 1356.1? -1355.1 0.015 - 5 -4.985 What is 1055 + 94? 1149 Add 292.11 and 1. 293.11 Total of 23.03 and -110. -86.97 Sum 78 and 182. 260 Calculate 70 + 16.442. 86.442 Calculate 11.64 - -0.6. 12.24 What is -0.3 - -197.1? 196.8 What is 0.5 plus -62.04? -61.54 -0.3+-53852 -53852.3 What is -337 take away -1406? 1069 What is -9.042 minus 0.039? -9.081 Add -3 and 2748.865. 2745.865 Total of -49.58 and 1. -48.58 Add together -5 and -39.7. -44.7 What is the distance between 12561 and 0.96? 12560.04 What is 2 - 1507? -1505 Put together 121.65 and 0.5. 122.15 Calculate 6.70619 - 4. 2.70619 -661 - 0.12932 -661.12932 What is the distance between 717 and -2.3? 719.3 What is -332 + -0.069? -332.069 Total of 0.056 and 2256. 2256.056 Put together -555 and -0.6. -555.6 What is 54.261 less than -1? -55.261 What is the difference between -57 and 15.86? 72.86 What is 14 plus 268? 282 What is 291.3 - 0.4? 290.9 Calculate -1.3 - -3089. 3087.7 What is -1349669 + -0.3? -1349669.3 Work out -2.8 + -3254. -3256.8 What is -1 + -420878? -420879 Subtract 7571 from 0. -7571 What is the distance between 0.255 and 0.03751? 0.21749 What is the difference between 1651 and -0.01? 1651.01 Calculate -0.4 + -69.51. -69.91 Put together 2.719 and -0.4. 2.319 What is -0.5 less than 1365? 1365.5 What is 4 - -131.1? 135.1 What is 1.0184 - 0.008? 1.0104 Subtract -0.347 from 2373. 2373.347 What is -1.4 + -2.2202? -3.6202 Work out -26 + 1.69. -24.31 -0.06+34330 34329.94 What is 27 plus 36.353? 63.353 Total of -0.3744 and 1736. 1735.6256 Work out -0.8286 - 0.191. -1.0196 What is 1384 plus 4? 1388 What is -0.6 minus 1.422? -2.022 Add 25052.8 and 0.51. 25053.31 340051 - -0.2 340051.2 56 - 318.23 -262.23 4.87 - 0.1 4.77 What is -4 - -6258? 6254 Total of 222 and 0.1. 222.1 29.8+0.52 30.32 Subtract 0.894 from -14. -14.894 What is -784.84 + 16? -768.84 What is -2.036 + -0.472? -2.508 Subtract -2830 from -2. 2828 Subtract 13.53 from -0.05. -13.58 What is -0.3 minus 6032? -6032.3 -0.21012 + -27 -27.21012 What is -0.3 - 3.748946? -4.048946 Add 49746.84 and -3. 49743.84 Work out 4 - 49777. -49773 What is -55 take away -101.6? 46.6 What is -1.26 take away -0.081? -1.179 Calculate 6173 + 65. 6238 Subtract 1035 from 0.5. -1034.5 Work out 1 - 682558. -682557 Calculate -139 - 0.0874. -139.0874 What is -444 plus -0.9? -444.9 -26 + 367 341 Total of -4.1 and -40.9. -45 What is 0.4 - 115.4? -115 2+22182 22184 Work o
{ "pile_set_name": "DM Mathematics" }
of 11? True Suppose 4 = -5*s - 11. Let l(u) = -u**3 - 2*u**2 - 5*u - 4. Is 10 a factor of l(s)? True Suppose 0*h - 4*k = -h + 84, h - 116 = -4*k. Is 22 a factor of h? False Let r = 102 - 75. Is 9 a factor of r? True Let z = 4 - 1. Let i be -1*0*z/9. Suppose i*x + 24 = 3*x. Is 8 a factor of x? True Suppose -5*w = 3*t - 71, 21 = -0*t + t - w. Suppose -4*z + t = -2*v, -7*z + 29 = -2*z - 4*v. Let c(i) = i**3 - 6*i**2 + 8*i - 7. Does 5 divide c(z)? False Let q = -1 - -1. Let n = 3 + q. Let r = n + -1. Is r a multiple of 2? True Suppose 0 = -4*p + w + 351, -w - 165 + 526 = 4*p. Suppose 2*m - 11 + 3 = 0. Is 22 a factor of p/m - (-6)/(-24)? True Suppose -15*f + 6*f = -1620. Is f a multiple of 12? True Let h(s) = 11*s**2 - 3*s - 2. Let k be h(-2). Suppose k = 4*m - 0*m. Is m a multiple of 12? True Let y be 6 - (-3)/(0 - -3). Let g(z) = y*z**2 + 3*z**2 - 5*z**2. Is g(-1) a multiple of 4? False Let y(s) = s**3 + 14*s**2 + 6*s + 10. Let x be y(-13). Suppose 4*g - x + 21 = 0. Is 11 a factor of g? False Let a be ((-20)/(-2))/(-4 - -2). Let n(q) = 2*q**2 + 5*q + 5. Is 15 a factor of n(a)? True Let g be -3 + 8/3*3. Suppose -3*f - 24 = -g*f. Is f a multiple of 6? True Let f(i) = -i**3 - 2*i**2 + 3*i. Let k be f(-3). Suppose k = 2*g - 43 - 57. Is 25 a factor of g? True Suppose 5*a + 29 = -21. Let l = -4 - a. Let r = 9 + l. Does 12 divide r? False Let g(o) = -34*o**3. Suppose 6*j + r + 8 = 3*j, 10 = -2*r. Is 14 a factor of g(j)? False Let y = -5 - 5. Does 3 divide (-86)/(-10) + (-4)/y? True Let m = -24 + 40. Is 16 a factor of m? True Suppose 4*i + 0*i = -36. Let g = i + 52. Is g a multiple of 15? False Suppose -7*u + 254 = -187. Is u a multiple of 21? True Suppose 0 = -t - 5*t + 744. Does 15 divide t? False Suppose 3*j - 1 = 14. Suppose j*n + 17 = -13. Is 11 a factor of 896/24 - (-2)/n? False Suppose 0 = 11*x - 1413 - 1095. Is 15 a factor of x? False Let k(v) be the second derivative of -v**3 + v**2 + 10*v. Let n be (-2)/3*(1 - -2). Does 5 divide k(n)? False Is 9 a factor of 46/2 - (15 + -19)? True Let q = -4 - -5. Suppose 14 + q = -3*n. Is (-10)/(-25) - 148/n a multiple of 15? True Is 8 a factor of 32 + -3 - (-6 + 4)? False Suppose -28 = -2*j + 106. Does 19 divide j? False Let t(q) = -5*q**3 - q**2 + 1. Let u be t(-1). Suppose 0 = -2*r - 8, 0*r = m + u*r - 88. Suppose m = 4*g + 28. Does 9 divide g? False Let k = 2 - 3. Let x(o) = -42*o - 1. Does 18 divide x(k)? False Let r = 5 + 46. Is r a multiple of 17? True Let n = 10 - 9. Is 2 + 0 + n + 27 a multiple of 15? True Suppose -5*b - 3*r + 385 = 0, -3*b + 2*r - 150 = -5*b. Is 7 a factor of b? False Let f = 1 - -9. Suppose -2*x + f = -0. Is x even? False Suppose 3*c - 5 - 7 = 0. Suppose 5*t + c*b - 102 - 17 = 0, -b + 50 = 2*t. Is t a multiple of 14? False Let f = 56 + -21. Suppose -3*t = 11 - f. Is t a multiple of 4? True Suppose -t + 60 = 3*t. Let q = -22 - -40. Suppose i = q + t. Is i a multiple of 9? False Let c(q) = -14*q**3 - q**2 + q + 1. Suppose 2*b - 2 = 4*b. Let y be ((-2)/6*-3)/b. Is 13 a factor of c(y)? True Let a = -7 - -11. Suppose -a*f - 3*j - 19 = -5*f, 5*f + 4*j = 57. Is f a multiple of 13? True Let i(m) = -m**3 + 4*m**2 + 5*m + 2. Let s be i(5). Is (-1)/(1/s)*-4 a multiple of 4? True Suppose g = 1 - 0. Let z be -2 - -2*1*g. Let y(p) = -p**3 + p + 14. Is y(z) a multiple of 14? True Let a(y) = 17*y**3 - 24*y**3 - 4*y + 0*y**2 - 3*y**2 - 3. Is 10 a factor of a(-2)? False Let b = 5 - 4. Is -3 - (21 + b)/(-2) a multiple of 4? True Suppose -4*i + 15 = i. Is (-22)/(-1) + i - 3 a multiple of 22? True Let i(t) = -t**2 + 4*t + 1. Let f be i(4). Let p be -21*-1*(-1 - -2). Let n = p - f. Is 14 a factor of n? False Suppose 4*y + 137 = -155. Let z = y - -123. Is 25 a factor of z? True Let g = -30 - -21. Is 12 a factor of 6/g + 222/9? True Is 20 a factor of 2*9/(-6) - (-4 + -126)? False Let x(a) = -5*a + 7. Let z(t) = -2*t + 4. Let f(j) = 3*x(j) - 5*z(j). Let q be f(-1). Is 3/q*(0 + 28) a multiple of 14? True Suppose 0 = -4*z - z - 45. Is (z + 3)/3 - -12 a multiple of 10? True Let x = -72 + 106. Let m be -1 - (16/(-12))/(4/(-66)). Let a = m + x. Does 11 divide a? True Suppose 6*d - 585 = -3*d. Is d a multiple of 12? False Suppose q = 4 + 2. Does 6 divide q? True Suppose 1323 = 3*l + 5*k, -5*k - 26 = -11. Suppose 0 = 4*n + 10 - l. Is 28 a factor of n? False Suppose 0 = i - 4*d - 0*d - 14, -d = -3*i + 97. Is i a multiple of 14? False Let b(s) = s**3 + 4*s**2 - 7*s - 7. Let t be b(-5). Suppose t*p - 33 = 2*p. Is 16 a factor of p? False Suppose -2*m = 2*c - c - 2, 11 = 3*c + m. Suppose -343 = -c*u + 2*d - 39, 3*u + d - 218 = 0. Let q = u - 51. Is 6 a factor of q? False Let v(d) = -3*d**3 + 32*d**2 + 4*d + 47. Let q(b) = b**3 - 16*b**2 - 2*b - 23. Let w(j) = 5*q(j) + 2*v(j). Is 6 a factor of w(-16)? False Is (-229)/(-6) + (-13)/78 a multiple of 19? True Let p(x) = -x**3 - 2*x**2 + 6*x + 3. Does 7 divide p(-5)? False Suppose 0 = 4*g + 16, 3*h + 5*g - 4 - 18 = 0. Let y = 42 - h. Does 14 divide y? True Let c(l) = l + 8. Let d be c(0). Suppose d = i - 30. Is 14 a factor of i? False Suppose 2*k - 144 = -4*k. Does 3 divide k? True Suppose 5*o = 5*s - 395, o = 5*s + 3*o - 416. Let p = s - 52. Is 13 a factor of p? False Let m = 9 - 16. Suppose 5*r = -0*z + 3*z + 29, z + 2*r = 5. Let a = z - m. Is a a multiple of 3? False Let j = -12 - -20. Suppose 0 = j*n - 7*n - 49. Is n a multiple of 16? False Suppose 2*j = 10 + 34. Is 20 a factor of 2/(-11) + 774/j? False Suppose 4*o + 3*j = 381, o - 79 = -j + 16. Is 32 a factor of o? True Suppose 0 = 5*b, -4*a + a - 2*b + 177 = 0. Is 12 a factor of a? False Let o(h) = -h**3 + 5*h**2 + h - 4. Let g be o(4). Suppose g = -4*y, 5*p - 136 = 3*y - 4*y. Is p a multiple of 7? True Let d(x) = x**3 + 7*x**2 + 5*x + 2. Suppose 3*r = 4*r + 6. Is d(r) a multiple of 3? False Let s(q) = q**3 + 11*q**2 + 7*q - 2. Let c be s(-10). Let l(n) = -2*n - 4. Let m be l(3). Let w = m + c. Is w a multiple of 10? False Let y be 1 + -2 + 13*1. Does 7 divide (-2)/y + 266/12? False Suppose 0*m = 2*m - 6, a - 4*m = 42. Is 11 a factor of a? False Let c(n) = n**2 + 2*n + 1. Suppose -10 = -0*b - 5*b, -3*w = 2*b + 11. Let j be c(w). Suppose -3*r + j = -2*r. Is 8 a factor of r? True Suppose 2*j - 188 = -5*p, -6*j + 2*j + 332 = -p. Let g = j + -56. Is 15 a factor of g? False Suppose 3*l - 132 = 3*x, 5*l - x = -0*x + 236. Does 6 divide l? True Suppose 5*c = 22 - 7. Suppose q + 2 = c*f, -3*f = f - q - 2. Suppose -5*a + a + 2*r + 50 = f, 0 = -a - 5*r + 7. Does 5 divide a? False Let i = 49 + -25. Let f = -13 + i. Is f a multiple of 6? False Suppose 0 = -i - 4 + 10. Let d be (-13)/3 + (-2)/(-6). Let a = i + d. Is a even? True Let x(l) = -2*l**2 + 21*l + 22. Does 5 divide x(7)? False Let w(s) = 2*s**2 + 4*s + 3. Let b be w(-4). Suppose -g + b = 3*j, 3*j = 5*g + 2*j - 63. Is g a multiple of 13? True Suppose 4*c + c - 375 = 0. Is c a multiple of 11? False Let c = -3 + 27. Does 8 divide c? True Suppose 2*z = 6*z. Let y(o) = -2*o + 4*o + 1 + z - 12*o. Is y(-6) a multiple of 16? False Let d = -88 - -91. Is 3 a factor of d? True Let r(h) = -h**3 - 11*h**2 - 9*h + 9. Let d be r(-10). Is (d - 2)*1 + 13 a multiple of 3? False Let j = 34 - -70. Suppose 5*q - j = q. Is q a multiple of 14? False Let j be 2 - 6/3 - -3. Let h = 15 - j. Is h a multiple of 6? True Let h = -40 + 67. Suppose 0*n = n - h. Is n a multiple of 10? False Suppose 4*r = -i + 26, -i - 5*r = -5*i + 125. Is i a multiple of 4? False Let m(w) = -w**3 + 6*w**2 + 9*w - 4. Let f be m(7). Suppose -h + 0*a - 5*a - f = 0, 0 = h - 4*a - 17. Let p = h - -9. Is 6 a factor of p? False Suppose -a + 270 = 4*a. Does 18 divide a? True Let l(t) = -3*t. Let q be l(-1). Suppose 81 = 3*b + q*g, 4*b + 9*g = 7*g + 118. Does 13 divide b? False Is ((-1)/1)/((-3)/81) a multiple of 6? False Let s = -2 - -2. Let q = s - -3. Does 3 divide q? True Let y = 74 + -16. Suppose -f - b = -y, 0*f - 2*f + 3*b = -101. Suppose -2*p + 0*t = 3*t - f, -4*p + 5*t = -55. Is p a multiple of 11? False Let q be 1/(10/(-9) + 1). Let i = -3 - q. Is 2 a factor of (i*2/4)/1? False Let r = -34 - -103. Let t = -39 + r. Does 10 divide t? True Is 43 a factor of (-3102)/(-36) - (-1)/(-6)? True Suppose 16*g - 16 = 12*g. Suppose g*w - 2*w = 30. Is w a multiple of 3? True Suppose -s + 5*s - 74 = -5*p, 5*s + 20 = 0. Is p a multi
{ "pile_set_name": "DM Mathematics" }
-2*h - h + 50. What is the lowest common multiple of h and a(k)? 30 What is the smallest common multiple of 240 and 65 + 20 - (-11 + 0)? 480 Suppose 0 = 2*k - 3*o - 2 + 10, 11 = -k + 5*o. Let n = 3 + k. What is the least common multiple of n and -2 - (-4 - (-1 - 0))? 2 Let w(f) = -6*f - 4. Suppose y + 0*y = 2*t, -3*y = -3*t - 9. Calculate the lowest common multiple of y and w(-5). 78 Find the common denominator of ((-2)/88)/((-9)/1098) and 36/55. 110 Find the common denominator of -61/76 and 4/(-22) + 138/352. 3344 Let r(o) = -2*o**3 - 3*o - 2. Let s(x) = x**2 - 9*x - 12. Let j be s(10). Let a be r(j). What is the common denominator of -14/5 and (4 - -2)*39/a? 10 Let q = -13237/8 + 1642. Let k = -4375 - -17401/4. Calculate the common denominator of k and q. 8 Find the common denominator of -121/102 and (-126)/(-136) - (-88)/748. 204 Suppose 5*m + 5*s = -55, -3*m + 3*s - 6 = 3. Let z(r) = -r**3 - 7*r**2 - 3*r + 3. What is the smallest common multiple of 21 and z(m)? 168 Find the common denominator of -46/35 and -4 - (-11)/((-9317)/(-4048)). 385 Let k(b) = b**2 - 7*b - 7. Let l be k(10). Let q = -42 + l. Let t = q + 37/2. Calculate the common denominator of t and -17/9. 18 Let d = -135 + 142. Let w be 22 - (0 - (1 + 0)). Let l = w - d. What is the lowest common multiple of 14 and l? 112 Let v = 517273/170490 + -4/5683. What is the common denominator of v and -21/10? 30 Suppose -80*i = y - 82*i - 12, 0 = -y - 3*i - 8. Calculate the smallest common multiple of 242 and y. 484 Let h = -205 + 1898/9. Let j = -770 + 818. Calculate the common denominator of h and j. 9 Calculate the smallest common multiple of (23 + -1)/(2278/(-255) - -9) and 88. 1320 What is the common denominator of 15/(-24)*10/(-200)*101 and -107/20? 160 Let v(d) = -3*d**3 - 4*d**2 - d - 3. Let s be v(-3). Calculate the common denominator of 11/3 and 1 - (-5)/(s/64). 9 Let w(i) = 29*i - 49. Let x be w(5). Find the common denominator of 30/(-4) + (-4)/(x/(-18)) and 62/15. 60 Let i(q) = -q - 7. Let g be i(-6). Let d = g + 19. Calculate the smallest common multiple of d and 22. 198 Let v = 8339626/165 + -50543. Calculate the common denominator of v and -8/165. 165 Suppose 5*c - 7*m + 11*m - 128 = 0, -3*m + 6 = 0. Calculate the smallest common multiple of c and 9. 72 Let g = 6907 - 41545/6. Suppose 0 = -2*x + 10337 - 3429. Let i = 17323/5 - x. What is the common denominator of i and g? 30 Let q(f) = -108*f**3 - f**2 - 8*f - 7. Calculate the smallest common multiple of 90 and q(-1). 540 What is the least common multiple of (-6816)/80*(-10)/3 and 22? 3124 Suppose 20 = -3*h + 512. What is the lowest common multiple of h and 16? 656 Let w be (0 - 26*7) + (-8 - -8). Calculate the common denominator of 10/27 and ((-28)/70)/(-1 + (-170)/w). 135 Suppose -3*b - 2*x + 6 = 0, 2*b - 2*x + 0 - 4 = 0. Calculate the smallest common multiple of 14 + b + -4 + 0 and 8. 24 Let k be (-3 - 158/5) + (-6)/15. What is the common denominator of (29/10)/(56/k) and 6/5? 80 Let p(m) = 2*m**2 + 9*m + 2. Let k be p(-9). Let h be (-37)/k - 6/(-6). Let x = 8125/166 + h. Calculate the common denominator of x and -13/3. 6 Let t(w) = 3*w**2 - 7*w - 2. Let v(i) = i**2 - i + 1. Let l(g) = -t(g) + 2*v(g). Calculate the smallest common multiple of l(3) and 3. 30 What is the common denominator of (-1)/(-2) - (-65)/8 and (-6)/((-792)/(-78))*-1*-2? 88 Let y be (-6)/(-2)*(-1 + -18). Let b = -19 - y. Calculate the least common multiple of 6 and b. 114 Let q be (-5)/(25/(-4495)) + -4. What is the common denominator of 4/3 + q/60 and 127/6? 12 Let i = -5 - 2. Let l be (-114)/(-21) - (-3)/i. Suppose -5 = 5*g, 2*j - 5*j + l*g + 59 = 0. What is the least common multiple of j and 4? 36 Let q(t) = -t + 2. Let s be q(0). Suppose 4*w - s*m - 26 = 0, 0 = 3*w + 5*m - 0*m - 13. What is the smallest common multiple of 440/8*2/5 and w? 66 Let c = 4345/18 - 240. Find the common denominator of -119/18 and c. 18 Let q = -45 + 41. Calculate the common denominator of -7/8 and 6/q*670/150. 40 Suppose 562 = 31*p - 3158. Calculate the least common multiple of p and 165. 1320 Suppose -5*t - 193 = -2*x - 26, 0 = -3*x - 2*t + 279. What is the lowest common multiple of x and 21? 273 Let y(d) = 7 - 5 - 13*d + 11 - d**2 - d**2. What is the lowest common multiple of 10 and y(-7)? 30 Let j(v) = 582*v - 1. Let f be j(3). Suppose 5*g = -f + 455. Find the common denominator of 95/4 and 5/30*g/14. 28 Let n be ((-12)/158796)/(16/(-6)). Let u = 1146909/1729112 - n. Find the common denominator of u and -101/22. 1078 Let o be -1 - 35/((-10)/(-2)). Calculate the common denominator of -99/4 and o/(-28) + (-362)/42. 12 Let q = 43379/11 + -3941. Let o = -53/241 - -43137/198343. Let n = o - -50215/4938. Find the common denominator of q and n. 66 Suppose 0 = -5*q + 23 - 3. Suppose q = 4*v, -4*o - 2*v = v - 43. Let z(w) = 2*w**2 + 3*w - 2. Calculate the lowest common multiple of z(1) and o. 30 Let r = -8775 - -684527/78. Calculate the common denominator of r and 101/42. 546 Suppose -b = -2*b + 1, -z - 8 = -2*b. Find the common denominator of -51/4 and 862/168 - z/21. 12 Let a be (2/8)/((-2)/(-152)). Suppose a = z + w, -6*w + 3*w - 119 = -5*z. Calculate the lowest common multiple of z and 8. 88 Suppose d + 0*d + 3 = -3*n, 3*n = 3*d - 27. Suppose 66*p - 8 = 62*p. Calculate the lowest common multiple of d and p. 6 Suppose 3*j - 7*j + 40 = 0. Let p be (6926/8)/(j/(-28)). Let r = 2422 + p. Find the common denominator of r and -65/3. 30 Let h = 64 + -42. Let i(v) be the third derivative of v**5/60 + 5*v**4/24 + 4*v**3/3 + 4*v**2. Calculate the lowest common multiple of h and i(-7). 22 Suppose 0 = 4*b - 9*b + 35. Suppose -3*j + 35 = 5*h, 10*j - 46 = 5*j + 4*h. Calculate the least common multiple of j and b. 70 Let y = 182 + -74. Calculate the common denominator of y*(108/56 + -2) and -33/4. 28 Let x = -120 - -124. Suppose 2*s = -x*s + 66. Calculate the smallest common multiple of 42 and s. 462 Let h = 2552 - 25559/10. Suppose 0 = z + z + 8*z. Calculate the common denominator of h and (-6)/240 + z + 2. 40 Let g = 13845595/102 + -135740. Calculate the common denominator of g and 151/12. 204 Let u = 1829/5 + -374. Calculate the common denominator of u and -151/30. 30 Suppose 3*q + 5 = 4*q. Let w be (24/36)/(1/39). Suppose -q*y + w = 1. What is the least common multiple of y and 41? 205 Suppose -3*s + 8 = -2*s. Calculate the least common multiple of s and 24/(-56) - 312/(-42). 56 Let w be -1 - ((-3)/6*-172 - -1). Suppose -q - 8 = -2*q + v, 2*v = -5*q + 12. What is the smallest common multiple of w/(-10) - 8*(-3)/(-30) and q? 8 Let o(k) = -11*k**2 + 4 - 8*k - k + k**3 + 6*k**2. Let g be o(6). Let d = g - -15. What is the least common multiple of d and 5? 5 Suppose 0 = 2*x - 3*d - 27 - 12, -2*x + 4*d = -44. Let f = 2866 + -2854. Calculate the smallest common multiple of f and x. 12 Suppose 6*v = v + 10. Suppose -v + 9 = z. Let s = 23 + -16. What is the lowest common multiple of s and z? 7 Let x be (1 - -4) + (-3)/(18/12). Suppose y + 2*a = 24, -x*y + a = 3*a - 68. Calculate the lowest common multiple of y and 22. 22 Let b = -85 - -181. Suppose 0 = -9*t + 390 + b. What is the least common multiple of t and 8? 216 Calculate the smallest common multiple of (9/(-4))/(3157/(-784) - -4) and 28. 84 Let n(w) = w**2 + 2*w + 5. Calculate the least common multiple of 263 and n(-2). 1315 Let l = -2/21205 + 784629/466510. Let o(p) = -p**3 - 5*p**2 + 6*p + 1. Let w be o(-6). Calculate the common denominator of l and 37/8 + 1/w. 88 Suppose 33 = 4*f + 3*c, 2*c + 3*c = -5*f + 40. What is the least common multiple of 146 and f? 1314 What is the smallest common multiple of 236 and ((-3)/((-168)/160))/((-2)/(-413))? 1180 Let a = 5 - -13. Find the common denominator of -49/12 and 6/(-88)*516/a. 132 Let n = -1571 - -5135. Find the common denominator of 29/9 and ((-6)/(-8) + (-1793)/n)*-6. 27 Let b = 2594/973 - -2/2919. Calculate the common denominator of ((-3)/2)/((-48)/110) and b. 48 Let z(p) = 3*p - 12. Let r be z(4). Suppose r = -4*n + 4*f + 1 + 75, 3*n + 3*f = 63. Calculate the common denominator of -68/3 and n. 3 Let t be -4 + 2 + -6 + -2. Let k be 56 - 0 - (-10)/t. What is the common denominator of -1 - (k/(-8) + -1) and -51/8? 8 Suppose 3*f - 20 = 2*f. Let v(b) = 6*b + 320. What is the least comm
{ "pile_set_name": "DM Mathematics" }
1 What is the second derivative of 4*d**3*x**3 - 2*d**3 + 2*d*x**3 - 10*d*x + 3 wrt d? 24*d*x**3 - 12*d Find the second derivative of 89*c**2*n**2*q**3 + 2*c**2*n*q**3 + c*n**2*q**3 - 3*c*n*q**2 - c + q**3 wrt c. 178*n**2*q**3 + 4*n*q**3 Find the second derivative of 2*b**2*c**3 - 6*b**2*c**2 - b**2 + b*c**2 + b*c - 5*c wrt c. 12*b**2*c - 12*b**2 + 2*b What is the second derivative of -240*v*y**3 + 2*v*y**2 + 299*v*y - 2*v wrt y? -1440*v*y + 4*v What is the third derivative of 2*j**3*o**2 - 7852*j**3*o + j**2*o**2 - 6*o**2 - 451*o wrt j? 12*o**2 - 47112*o Differentiate 2*m**3*r**2 + 100*m**3 - 990*m**2*r wrt r. 4*m**3*r - 990*m**2 Find the first derivative of -2*z**4 + 70*z**3 + 84. -8*z**3 + 210*z**2 What is the third derivative of -266*l**6 - 2*l**3 - 1600*l**2? -31920*l**3 - 12 What is the derivative of 9*f**3*j*x + 120*f**3 - 4*f**2*x - 7*f*j*x wrt j? 9*f**3*x - 7*f*x Find the second derivative of 487*a**2 + 444*a. 974 Find the second derivative of -13*n**2*u**3 - 35*n**2 + 2*n*u**3 + 974*n*u**2 wrt n. -26*u**3 - 70 What is the third derivative of -35*k**6 - 86*k**2? -4200*k**3 Differentiate 4310*v + 2791 wrt v. 4310 Find the second derivative of 288*f**2*l**2 - 60*f*l**2 - 3*f wrt f. 576*l**2 Find the third derivative of -13850*f**5 + 15*f**2 - 2*f - 3 wrt f. -831000*f**2 Differentiate -l**2*n*s*x - l**2*n*x - 8*l**2*s - l*n*s - 6*l*x - 2*n - 8*s*x with respect to s. -l**2*n*x - 8*l**2 - l*n - 8*x Find the third derivative of -8*g*r**5 - 6*g*r**3 + g*r**2 + r**5 + 12*r**2 - 1 wrt r. -480*g*r**2 - 36*g + 60*r**2 What is the first derivative of -c**3 - 2*c**2 - 301*c - 2 wrt c? -3*c**2 - 4*c - 301 What is the first derivative of 2*a**3*i**2 + 8234*a**3 + 2941*a*i**4 wrt i? 4*a**3*i + 11764*a*i**3 What is the first derivative of h*p**3 + 86*h - 65*p**3 wrt h? p**3 + 86 Find the first derivative of -16*i - 814 wrt i. -16 Find the first derivative of 79*v - 47 wrt v. 79 What is the second derivative of -n**4 - 86*n**2 + 203*n - 1 wrt n? -12*n**2 - 172 What is the second derivative of 177*x**3 - 16*x - 3 wrt x? 1062*x What is the first derivative of 2*f*t**3 - 466*f - 385*t**2 wrt t? 6*f*t**2 - 770*t Find the second derivative of 402*c**5*m + c**2*m**2 + c*m**2 + 4*c - 12*m**2 wrt c. 8040*c**3*m + 2*m**2 What is the third derivative of 12*h**2*u**3*y - 3*h**2*u**2*y**3 + 2*h**2*u*y**3 + 3*h*u**2*y**3 + 9*u**3*y**3 + 32*u*y**2 wrt u? 72*h**2*y + 54*y**3 What is the second derivative of -377*m**2*z**2 - m**2*z - 6*m**2 - 2*m*z**2 - 14*m*z + 2*z**2 - 122*z wrt m? -754*z**2 - 2*z - 12 What is the third derivative of -p**5 - 72*p**4 - 150*p**2 + p wrt p? -60*p**2 - 1728*p Find the second derivative of 30*n**5 - 8*n**4*x**3 - n*x**3 - 21 wrt n. 600*n**3 - 96*n**2*x**3 What is the first derivative of -155*a*o**2 + 40*o**2 - 2 wrt a? -155*o**2 Find the second derivative of -31*b**4*m + 42*b**3*m**3 - 14*b*m**3 - 57*b*m**2 - 2*m**2 wrt b. -372*b**2*m + 252*b*m**3 What is the second derivative of 81*f**5*g + 3*f**5 - f**2 + 1162*f + 3*g wrt f? 1620*f**3*g + 60*f**3 - 2 Find the second derivative of 11*a**3 + a**2*d**2 - 7*a*d**2 + 14 wrt a. 66*a + 2*d**2 Differentiate 2*j**4 - 3*j**2*m - 22*j*m - 168*m with respect to j. 8*j**3 - 6*j*m - 22*m What is the second derivative of -2*o*s**2 + 450*o*s - 251*s**2 wrt s? -4*o - 502 What is the first derivative of -2198*j**2*v**3 + j*t**2*v**3 + 2*t**2*v + 2*t*v - v**3 - 43*v**2 wrt j? -4396*j*v**3 + t**2*v**3 What is the second derivative of 27*g**5 + 3*g**3 - 48*g - 4 wrt g? 540*g**3 + 18*g Find the second derivative of 1274*c**4 + 534*c. 15288*c**2 What is the second derivative of 119*z**3 + 2*z**2 + 172*z? 714*z + 4 Find the second derivative of -1116*a**3 + 14*a - 28 wrt a. -6696*a What is the first derivative of -58*k**4 - 261? -232*k**3 Differentiate 3377*x**4 + 2853. 13508*x**3 What is the second derivative of 1545*j**5 - 2*j - 495? 30900*j**3 What is the derivative of -178*p**3 - 208? -534*p**2 What is the first derivative of -93*v + 30 wrt v? -93 Differentiate 7648*a*y**3 - a*y**2 + 73*y**3 - 16*y**2 + y wrt a. 7648*y**3 - y**2 What is the first derivative of -21768*v**4 - 20569? -87072*v**3 What is the second derivative of 5*d*g**2*w**2 + 7*d*g**2 + d*w - 2*g**2*w**3 - 3*g*w - 23*w**3 + 2*w**2 wrt g? 10*d*w**2 + 14*d - 4*w**3 What is the third derivative of 6*w**6 + 1492*w**3 - 11967*w**2 wrt w? 720*w**3 + 8952 What is the derivative of 2*n*q*r**2*z**2 - 626*n*q*r**2*z - q*r**2*z - q*r**2 - 2*q*r*z**2 + 122*r*z wrt n? 2*q*r**2*z**2 - 626*q*r**2*z Find the third derivative of -621*u**6 - u**5 - 2524*u**2 wrt u. -74520*u**3 - 60*u**2 Find the first derivative of -5*a**2*g*s - 3*a*g - a*s*w + 6*g*s + 14*g*w + s*w wrt a. -10*a*g*s - 3*g - s*w Find the second derivative of -181*w**2 - 72*w. -362 What is the derivative of -8*d**4 - 6*d**2 + 4*d + 13403 wrt d? -32*d**3 - 12*d + 4 Find the second derivative of 406*x**5 + 1251*x wrt x. 8120*x**3 Find the third derivative of -4384*y**5 + 619*y**2 wrt y. -263040*y**2 Find the first derivative of -3*b**3*w**2 + 1609*b**3 - 6*b**2*w - 2*w**3 wrt w. -6*b**3*w - 6*b**2 - 6*w**2 What is the third derivative of 228*n**5 + 5*n**2 - 3*n wrt n? 13680*n**2 Differentiate -2608*o**3 - 2305 wrt o. -7824*o**2 Find the first derivative of -2*r**3*t**2 + 11*r**2 - 5*r*t**3 + 4*t**3 + 5*t**2 wrt r. -6*r**2*t**2 + 22*r - 5*t**3 What is the second derivative of -10*s**2*u**3 + s**2*u**2 + 19*s**2 - 18*s*u**3 - 11*s*u - 4 wrt u? -60*s**2*u + 2*s**2 - 108*s*u Find the third derivative of 5*n**6 - 98*n**5 + 2*n**2 + 779 wrt n. 600*n**3 - 5880*n**2 What is the third derivative of -1598*m**6 + 3216*m**2 wrt m? -191760*m**3 What is the first derivative of -3150*k**4 - 2760 wrt k? -12600*k**3 What is the third derivative of -3074*c**3 + 7827*c**2 + 1 wrt c? -18444 What is the third derivative of 342*v**4 + 8*v**2 - 6 wrt v? 8208*v What is the third derivative of 6515*d**4 - 339*d**2 + 6*d? 156360*d What is the first derivative of 4*o**2 - 9*o + 1536? 8*o - 9 What is the third derivative of 48*i**5*z**2 + 5*i**5 - i**2*z**2 + 237*i**2*z + 2*i**2 wrt i? 2880*i**2*z**2 + 300*i**2 Differentiate -737*d + 1096. -737 What is the third derivative of 54*r**4 + 23*r**3 + 151*r**2 - 11? 1296*r + 138 Find the first derivative of b*l - 178*b + 119*l**2 wrt l. b + 238*l What is the derivative of -89*r**3*t**2 + r**3*t - 1075*t**2 wrt r? -267*r**2*t**2 + 3*r**2*t Differentiate -410*k**2*m*s*u**2 - k**2*m*u**2 - 127*k**2*u**2 - 2*m*s*u**2 + 3*m*u**2 wrt s. -410*k**2*m*u**2 - 2*m*u**2 Find the third derivative of 5*j**6*q - 2*j**5 + j**3*q + j**2*q - 2*j**2 + 195*j wrt j. 600*j**3*q - 120*j**2 + 6*q Find the third derivative of -2*i**3*k**2 - 24*i**3*k - i**2*k**2 + 218*i**2 wrt i. -12*k**2 - 144*k What is the second derivative of -9733*n**5 - 11*n - 29? -194660*n**3 What is the first derivative of -113*q**2*s**3 - 6*q**2*s - 1202*q**2 wrt s? -339*q**2*s**2 - 6*q**2 Differentiate 3*m*r + m - 193*r with respect to m. 3*r + 1 Find the third derivative of 85*f**3 + 9*f**2 - 3*f wrt f. 510 What is the second derivative of 170*l**5*w**3 - 2*l**2*w**3 - l*w**3 - l*w + 62*w**2 wrt l? 3400*l**3*w**3 - 4*w**3 What is the third derivative of -5355*h**5 - h**4 + 9672*h**2? -321300*h**2 - 24*h What is the first derivative of 15*c**2*s**2*u + 36*c**2 + 6*c*s**2 + 35*s**2*u + 2*s + 17 wrt u? 15*c**2*s**2 + 35*s**2 What is the third derivative of -344*v**5 + v**4 + 746*v**2? -20640*v**2 + 24*v Find the third derivative of 17*f**2*q**4 - 3*f**2*q**3 + f**2*q + 2*f*q**3 - 29*f*q**2 + 1 wrt q. 408*f**2*q - 18*f**2 + 12*f Find the second derivative of -4*m**5 - 3*m**4 - 11*m**2 - 11084*m wrt m. -80*m**3 - 36*m**2 - 22 Find the second derivative of -59*d**4*y + 2*d**3*y**2 - 2*d*y**2 + 19*d*y wrt d. -708*d**2*y + 12*d*y**2 Find the third derivative of -8*t**5 + 15*t**4 + 14*t**3 - 9*t**2 - 90*t wrt t. -480*t**2 + 360*t + 84 What is the third derivative of -12*f**3*m**2*q + 2*f**3*m + 224*f**3*q - f**2*m**2*q + f**2*m*q - m**2 - 541 wrt f? -72*m**2*q + 12*m + 1344*q What is the third derivative of 7883*q**5 - 10628*q**2 wrt q? 472980*q**2 Find the third derivative of -7*k**5 + 48*k**4 - 1342*k**2 wrt k. -420*k**2 + 1152*k Find the third derivative of -m**2*o**3 + 2*m**2*o**2 + 240*m*o**4 + 171*m*o**2 wrt o. -6*m**2 + 576
{ "pile_set_name": "DM Mathematics" }
0.3 c Which is the closest to -14/3? (a) -4 (b) 37 (c) 5 (d) 2/7 a Which is the closest to 0? (a) 2 (b) 3792 (c) 0 c What is the closest to 432/17 in 8, 1, 5, -1, -3/5? 8 Which is the nearest to -0.2? (a) 31 (b) 0.5 (c) -1/4 (d) 30 c What is the closest to 206 in 1/3, -14, -1, 8? 8 What is the closest to 4739 in 0.01, 27, 0.4? 27 Which is the closest to -48/7? (a) -0.1 (b) 1/3 (c) 0.87 (d) 28 a What is the nearest to -0.06 in -2/5, 26, 2, -2.1? -2/5 Which is the closest to 1/9? (a) -2/5 (b) 2 (c) -0.087 (d) -1 (e) -2/81 e What is the closest to 3 in -54, -1/3, 0.2, 4, 2/35? 4 Which is the nearest to -1/2? (a) -4/5 (b) -1/14 (c) 5 a Which is the nearest to 484? (a) -1 (b) -10 (c) -3 (d) 0.4 d Which is the closest to 1/3? (a) 4/3 (b) 3 (c) 1/68 (d) -13/3 c What is the nearest to 1 in 0.12, -0.1, 3, 4/9, 0.4? 4/9 What is the nearest to -2/7 in -2/7, 14, 26, -3/7, 9? -2/7 Which is the nearest to 2? (a) 0.00012 (b) 2/9 (c) 0.3 c Which is the nearest to -7? (a) 10 (b) -1/4 (c) 28 b What is the nearest to -0.14 in 12, 13, 0.1, -0.2? -0.2 What is the closest to 4 in -1/4, -0.129, -0.4? -0.129 What is the nearest to -2/7 in 10, 1/3, -0.03, 2, 29/6? -0.03 Which is the nearest to 1/3? (a) 1/5 (b) -1.93 (c) 0.16 a What is the nearest to -26 in -0.4, -2, 0.022? -2 Which is the nearest to 1/4? (a) 9 (b) 5 (c) 608 (d) 0.3 (e) 2/13 d Which is the nearest to -3? (a) 42 (b) 3 (c) 0.4 (d) 9 c Which is the nearest to -39/10? (a) 107 (b) 0.1 (c) -1 c Which is the closest to -8? (a) 2 (b) -14.4 (c) 1.4 (d) -2/5 (e) -2/11 b What is the nearest to 0.1 in -85, -3/5, -1, 5, -7? -3/5 What is the nearest to 1 in 4.4, -58, -2/15? -2/15 What is the nearest to -31 in -19, 0.5, -6, 0.3? -19 What is the nearest to 1 in -3, -38, -0.4, -1/2? -0.4 What is the closest to 0.3 in -0.5, 7.6, -4, -2, -1/11? -1/11 What is the nearest to -162 in -5, 1/3, -1.1, 0, -4? -5 Which is the closest to 0? (a) 507 (b) 1 (c) 4 (d) -0.3 d What is the nearest to 9 in -1/4, 10, -0.5, 1053, 4? 10 What is the nearest to -1 in 9/694, -5, -0.4? -0.4 What is the nearest to 0.06 in -352/9, 3/7, -1/5, 52? -1/5 Which is the nearest to -20? (a) 0.4 (b) -1/5 (c) 0.1181 (d) 3/5 b Which is the nearest to -2/105? (a) 0.4 (b) 3/8 (c) -24 b What is the nearest to -0.4 in 5, -2, 0.1, 14.22? 0.1 What is the closest to 2/5 in 2/201, 26, -1? 2/201 What is the closest to 2/9 in 0.5, 2/3, 7, -1.7? 0.5 What is the closest to 13/6 in 3/5, 5, 0.05, 0.4? 3/5 What is the closest to -0.1 in 0.3, 3, 5, -0.71, 4/11? 0.3 Which is the closest to 3.361? (a) 0 (b) -2 (c) -1.1 a Which is the closest to 0.1? (a) 0.15 (b) 1/3 (c) -0.3 a What is the nearest to -18 in 1/5, -2/3, 0, -3/8? -2/3 What is the closest to 0.1 in 3, 0, 1486? 0 Which is the closest to 27/2? (a) -1.87 (b) -5 (c) -0.3 c Which is the nearest to -0.2? (a) -10/7 (b) 0.4 (c) -8.43 (d) -0.1 d Which is the closest to -2? (a) 0.4 (b) 5 (c) 23.5 (d) 1 a Which is the closest to -5/13? (a) -5 (b) -3 (c) 0.3 (d) -31/3 c What is the nearest to -245 in -1/3, -6, -0.3? -6 What is the closest to 0.6 in -0.1, 1041, 0.1, 0, -14? 0.1 Which is the closest to 25/6? (a) 4 (b) 14 (c) -4 a What is the nearest to 0 in -2, 0.07, 0.53, -2/97, 5? -2/97 What is the closest to 0 in -0.11, -3, -25.8? -0.11 What is the nearest to -0.2 in -3, -14, -0.1, 779, 0.2? -0.1 What is the nearest to -2/7 in 4/3, -11, 258? 4/3 Which is the nearest to 111? (a) 5/7 (b) -5 (c) -1 (d) 1/5 (e) 4 e What is the closest to 2 in 0.4, -31941, -3, 1/4, -1/8? 0.4 What is the nearest to -5 in -0.1, -5, -0.08, -5.9? -5 What is the nearest to 1.5 in -2, 0.04, 45? 0.04 Which is the closest to -0.2? (a) 0 (b) -1 (c) -5/6 (d) -16/5 a What is the closest to 1/14 in 5, 18, 15, 9? 5 Which is the closest to 4? (a) 1220 (b) -1.2 (c) -4 (d) 1 d Which is the closest to -1? (a) -11/8 (b) -2 (c) 3 (d) 49 (e) 2/9 a Which is the closest to -2/18847? (a) 4 (b) 3 (c) 2.5 c Which is the closest to -6.3? (a) 0.4 (b) -3 (c) -368.5 b Which is the nearest to 1? (a) 39 (b) 4 (c) 2/7 (d) 69 c Which is the closest to 16? (a) 3 (b) -2 (c) -1/8 (d) 4/5 (e) 19 e Which is the nearest to 13? (a) -3 (b) 1 (c) 152 (d) -77 b Which is the closest to 2? (a) 227/4 (b) 2.56 (c) -2 b Which is the closest to 0.07? (a) 3/8 (b) 1.15 (c) -0.05 (d) -3/5 c Which is the closest to 10? (a) 0.08 (b) -6.3 (c) 2/5 (d) -1/4 c What is the nearest to -0.024 in -53, -3/13, -2? -3/13 What is the closest to 3/23 in 2/9, 4.8, -3, 4/9, 0.4? 2/9 Which is the closest to -1? (a) 8 (b) 0.9 (c) 0.1 (d) 94 c Which is the closest to 1? (a) 2/11 (b) -16 (c) -2/81 a What is the nearest to -18 in -0.5, 1, 61, -3/2? -3/2 What is the closest to -2 in 0.3, 2.8, 149, 0.1, -2? -2 Which is the closest to 0? (a) -2/23 (b) -2 (c) 3/2 (d) 20 a What is the closest to -2 in -5, 210, 0.1, -2/7, 2/5? -2/7 Which is the closest to 1? (a) -0.5 (b) 5/41 (c) 1/2 (d) -1 c Which is the closest to 26? (a) -2/35 (b) 4/5 (c) 36 c Which is the closest to 16/7? (a) -0.6 (b) -0.011 (c) 3/8 c What is the closest to -0.063 in 0, -0.072, 3/8, 3? -0.072 What is the nearest to 2 in -9, 2/3, 0.07, -24, 12? 2/3 Which is the closest to 303? (a) 5 (b) 0.07 (c) -5 (d) -2/7 a What is the closest to 1 in -52, -86, -5, -1/4? -1/4 Which is the closest to -5/76? (a) -1 (b) 3 (c) 1/5 c Which is the nearest to 4? (a) -0.1 (b) 79 (c) -19 (d) -2/7 a What is the closest to -0.1 in -3, 0.072, -2, -589? 0.072 Which is the nearest to -2? (a) 4/17 (b) 4 (c) -167 (d) 0.4 (e) -5 a What is the nearest to -2/23 in -3, -1/9, -0.9? -1/9 Which is the closest to 1? (a) -2 (b) 1 (c) 2 (d) 0.05 (e) 101 b Which is the nearest to -472? (a) 3/4 (b) -5 (c) 0.2 b What is the closest to -1 in -171, -1, -0.4? -1 Which is the closest to -2? (a) 22 (b) -12 (c) 1 (d) -1.5 d Which is the closest to 0.145? (a) -1/3 (b) -0.6 (c) -1/33 c Which is the closest to 0? (a) -285 (b) -28 (c) 1 c What is the nearest to -0.1 in 8/5, -18/11, 0.4? 0.4 Which is the closest to 1? (a) 2/11 (b) 104 (c) 2/3 (d) 0 c Which is the nearest to -2/17? (a) -2/11 (b) 0.4 (c) -7 a What is the nearest to 0.03 in 8, 0.1, -54, -10/9? 0.1 What is the nearest to -20 in -5, -0.2, 0.2, 17? -5 Which is the nearest to 1/95? (a) 0.2 (b) -1 (c) 0.4 (d) 241 a Which is the nearest to 1/3? (a) 3 (b) 1/6 (c) -118 b Which is the nearest to 1? (a) 4 (b) -16/9 (c) -4 (d) 38 b What is the closest to 23/2 in 5, 4/5, -2/9? 5 Which is the nearest to 2/3? (a) 5 (b) -5 (c) -829 (d) 4/17 (e) 1 e What is the nearest to 0.4 in -44.5, -1/34, -0.2? -1/34 Which is the nearest to -0.2? (a) -13 (b) 0.95 (c) 20 b What is the closest to -1/3 in 1, 0, -4, -1239.8? 0 Which is the closest to -7? (a) 7 (b) -0.4 (c) 3.4 b Which is the closest to 0.23? (a) -0.04 (b) 1/5 (c) 2/91 b What is the nearest to 18 in -0.4, -31, 1/7, 6? 6 Which is the closest to -0.3? (a) -3/8 (b) 11 (c) 4 (d) -4/3 (e) -2/111 a What is the closest to 222 in 0, 2, 1/3, -1? 2 Which is the closest to -1648? (a) -1/12 (b) -4 (c) 1/6 (d) -0.4 b Which is the nearest to 0? (a) 0 (b) -1820 (c) 5 (d) 2 a What is the closest to -1 in 5, -6, 2, 0.4, -2794? 0.4 What is the nearest to -2/23 in -8/3, -3/5, 7, 5? -3/5 Which is the nearest to 1? (a) -996 (b) 1/6 (c) 1037/2 b Which is the closest to 0.1? (a) -6.44 (b) -1/2 (c) -5 (d) 1 b What is the nearest to -0.8 in -2/55, 0.12, 1? -2/55 Which is the nearest to 0? (a) -2 (b) -0.4 (c) -26/9 (d) 482 b What is the closest to -0.1 in 113, 2, 197/4, 0.2? 0.2 What is the nearest to 1/7 in -2/9, 0.4, -7.41? 0.4 Which is the closest to 0? (a) -61 (b) 1 (c) 3.1 b What is the nearest to 0.391 in -4, 4, -1668? 4 What is the closest to -2 in 4/971, -3, -0.5, -4? -3 What is the closest to -137 in -5, -2, -0.06, -0.1, 1? -5 Which is the nearest to -0.4? (a) 1 (b) 1/8 (c) -421/5 b What is the closest to 3/4 in -4/9, -2, 0.5? 0.5 What is the closest to -2/3 in 68, -5, -54/7? -5 What is the closest to 1/6 in 0.01, 2, -4, 2/9? 2/9 Which is the nearest to -2? (a) 1 (b) 6 (c) 1.3 (d) 16 (e) -0.22 e What is the nearest to 6 in 2/11, -5, -0.3, -166/13? 2/11 What is the n
{ "pile_set_name": "DM Mathematics" }
ue? (a) 1/4 (b) 0.2 (c) -0.4 (d) -1/5 (e) -0.05094 (f) 2 b What is the third biggest value in 274/17, 2, 0.27? 0.27 What is the fifth smallest value in -2/5, -1/4, -9, 2/17, 1/8, -0.04? 2/17 Which is the fourth smallest value? (a) 4 (b) -5 (c) -1128 (d) -1/2 a Which is the fourth biggest value? (a) 1465 (b) -2/51 (c) 1/3 (d) -1 d What is the fourth biggest value in 172234, -1, 4, -3/7? -1 Which is the second biggest value? (a) 0.2 (b) 80/11 (c) -7 (d) 0.4 (e) -0.5 d What is the fourth smallest value in -49, -0.4, -5, -61? -0.4 What is the third smallest value in -756, 31, 0, -1/10? 0 What is the second biggest value in 3/1547, -0.01, -0.1? -0.01 What is the smallest value in 55, 4, -0.2, -0.08, -0.13? -0.2 Which is the second smallest value? (a) 3 (b) -4 (c) -76 (d) -17.9 d Which is the third smallest value? (a) 4 (b) 416/137 (c) 13 c Which is the smallest value? (a) 0.38 (b) 4 (c) -0.07 (d) 3/13 c Which is the third biggest value? (a) 2/17 (b) 0 (c) 532 (d) 0.2 a What is the fourth biggest value in 2/3, 20, 3, -4, 2/31? 2/31 Which is the smallest value? (a) -3 (b) -0.2 (c) 5 (d) -1652 d Which is the fifth smallest value? (a) -0.33 (b) 0.1 (c) 0.4 (d) -3 (e) -7 (f) 1 c Which is the smallest value? (a) -1/2 (b) 3 (c) -31.7 (d) -0.7 c Which is the fourth smallest value? (a) -4 (b) 5.622 (c) 3 (d) 0.1 (e) 4 e What is the third smallest value in 2/3, -2/5, 121, 1, -0.1? 2/3 What is the third biggest value in 0.3, -1/2, -251, 19/6? -1/2 Which is the sixth smallest value? (a) -5 (b) 4 (c) -0.4 (d) -35.31 (e) 2 (f) 0.3 b What is the smallest value in -21, -2/3, -10535, 1/6, -2? -10535 What is the third smallest value in -3, -1/42207, -0.8? -1/42207 What is the second smallest value in 2/791, -0.1, 1, -1? -0.1 Which is the fourth smallest value? (a) 3 (b) -489 (c) -0.2 (d) 0.1 (e) -0.3 (f) 1/3 d What is the smallest value in -0.08, 22/5, 2/5? -0.08 Which is the third biggest value? (a) 4 (b) 1/2 (c) 0.1 (d) -3/5 (e) 12 b Which is the third biggest value? (a) -1 (b) -3/7 (c) -22.804 c What is the biggest value in -12157, 0.18, 5? 5 What is the second biggest value in 2, -3/152, 0.1? 0.1 Which is the third smallest value? (a) 3.6 (b) -0.1 (c) -1187 a What is the second smallest value in -7, 0.2, 1398, 0.5, -3/4? -3/4 Which is the fifth biggest value? (a) 46 (b) 0.3 (c) 29/6 (d) 0.5 (e) -2/13 (f) 2/13 f Which is the fourth biggest value? (a) -76 (b) 0.1 (c) 0.5 (d) -20 (e) 2/15 d What is the third smallest value in -1/4, 20, 1.7, -2/7, -1/3, -0.06? -1/4 Which is the third smallest value? (a) 2 (b) -5 (c) -2.2 (d) -1.9 (e) -0.047 d Which is the second biggest value? (a) 4/5 (b) -197 (c) 0.084 c Which is the third smallest value? (a) 25989 (b) 2 (c) 2/19 a What is the fourth biggest value in 4/5, 1, -0.7, 1/4, 97? 1/4 What is the second biggest value in -4, 92, -2, 2/9? 2/9 What is the biggest value in -3, 20236, -22? 20236 What is the third biggest value in 126, 1140, -0.2? -0.2 What is the second smallest value in 57, 0, 31, -2/7? 0 Which is the second smallest value? (a) -174909/2 (b) 1/3 (c) -0.4 (d) -4/3 d Which is the fourth biggest value? (a) 5 (b) 24.9 (c) 0.3 (d) -0.5 (e) 0.21 e Which is the second biggest value? (a) -0.49 (b) -2/3 (c) 4/9 (d) -1 a What is the second smallest value in -4, 1/18, -1.6, 1/2, 18? -1.6 Which is the biggest value? (a) 1.2 (b) 5/4 (c) 2.6 (d) -2 (e) -0.3 c What is the fourth biggest value in 0.664, -5, -2/5, 0.5, 5? -2/5 Which is the third biggest value? (a) 30/461 (b) 4 (c) -2 c What is the second biggest value in 113/4, -17, -3, 0.03? 0.03 Which is the second smallest value? (a) -2 (b) 3 (c) -11 (d) 0.2 (e) -148 c What is the third smallest value in 13692, -4/111, -2? 13692 Which is the fourth biggest value? (a) -0.7 (b) -3 (c) -4/5 (d) 2.4 (e) 0.6 (f) 5 a Which is the third biggest value? (a) 4 (b) 0 (c) -2 (d) -26259 c What is the smallest value in 0.02, -0.2, -13240? -13240 What is the second biggest value in -14, -3/4, 2, -1/6, -0.051? -0.051 What is the smallest value in -10/11, -1/4, 1, 33, -4? -4 Which is the smallest value? (a) 3258/55 (b) 1/2 (c) -0.2 c What is the second biggest value in 5.2, 22, -0.06? 5.2 Which is the second biggest value? (a) 8/35 (b) -3 (c) 39 a Which is the smallest value? (a) -127.619 (b) -2 (c) 3/7 a What is the fourth smallest value in -4/5, 0.3, 2/47, 0, -1.1? 2/47 Which is the second smallest value? (a) 3 (b) -2 (c) 9327.15 a Which is the smallest value? (a) 1/28 (b) 15 (c) -1/3 (d) -0.2 (e) -1/4 (f) -23 f Which is the second smallest value? (a) 0.12 (b) 0.4 (c) 0.083 (d) 0.1 (e) 48 d Which is the fourth smallest value? (a) 5/3 (b) -0.5 (c) 1/4 (d) 0.5 (e) -71 (f) 0.2 c Which is the smallest value? (a) 35 (b) 770 (c) 0.4 c Which is the second smallest value? (a) 2 (b) 5 (c) 9294 b Which is the biggest value? (a) 143 (b) 0.3 (c) 28391 c Which is the fourth biggest value? (a) -1/8 (b) -48.2 (c) -3 (d) 0 (e) 106 c What is the fourth biggest value in -76, -1, 0.1, -99? -99 What is the second smallest value in 0.04, -3, -0.2, 1/3217? -0.2 Which is the fifth biggest value? (a) 0.03 (b) -3 (c) -0.1 (d) 7 (e) 4 b What is the third biggest value in 1/115, 2, -2, 28? 1/115 Which is the third biggest value? (a) 41 (b) 202 (c) 0.01 c What is the second biggest value in -1, 7/8, 0.276, 4? 7/8 Which is the biggest value? (a) 167 (b) -1/2 (c) 3 (d) 1/3 (e) 2/13 (f) -0.01 a What is the second biggest value in 4379, -0.5, -2/5? -2/5 Which is the second biggest value? (a) -6/5 (b) -4 (c) 0.4 (d) 0.3 (e) 185 (f) 0 c Which is the smallest value? (a) 5 (b) -2/15 (c) -4615 c Which is the third smallest value? (a) 7/2 (b) -7/3 (c) 0.3 (d) -1.2 c Which is the third biggest value? (a) 2/3 (b) -2 (c) -46311 c Which is the fifth biggest value? (a) 0.2 (b) -0.3 (c) -2 (d) 26 (e) -2/43 c Which is the third biggest value? (a) -2/5 (b) 2/11 (c) -259 (d) 75 (e) -0.5 (f) -4 a Which is the biggest value? (a) -3.3 (b) 0.1 (c) -4 (d) 0.5 (e) 5 e Which is the smallest value? (a) -21/2 (b) 162 (c) 6 a What is the third smallest value in -5, 13, 1/3, -1/6, -451? -1/6 What is the fourth biggest value in 6/145, -5, 2/9, -12, -0.3, -4/5? -4/5 Which is the fourth biggest value? (a) 1.5 (b) 4 (c) -3 (d) 0.47 c Which is the second smallest value? (a) -0.4 (b) 5/3 (c) 1.4 (d) 73 (e) 2/9 e What is the third smallest value in 1/3, -4/3, 2/11, -256? 2/11 Which is the fourth biggest value? (a) -0.0307 (b) 0.8 (c) -19 (d) 0 (e) 1/2 a What is the biggest value in -13, -2/17, 32? 32 Which is the fourth biggest value? (a) 0.3 (b) 25/3 (c) 0.1 (d) 4/3 (e) -1 (f) -2/9 c Which is the third smallest value? (a) -20/11 (b) 0.04 (c) -107 (d) 2/5 (e) 0.1 b What is the sixth smallest value in 10, -0.15, 3.9, 2/5, -2/3, 0? 10 Which is the third smallest value? (a) -3 (b) 0.03 (c) -14 (d) -381 a Which is the fourth smallest value? (a) 4 (b) 2 (c) 1 (d) -4251 (e) -3/4 b What is the second biggest value in -0.0798, -0.5, -2/3, 0.3? -0.0798 Which is the smallest value? (a) -1 (b) 0.2 (c) -103 (d) 5 c What is the smallest value in 1.32, 7, 18? 1.32 What is the third biggest value in -2, 60, -1/5? -2 What is the third biggest value in 8688, -1/12, 1/2, -2/11, -3? -1/12 What is the fourth biggest value in 0.067, 1203, 3, -2/9? -2/9 What is the fourth smallest value in -1.8, 5, 866, -0.1? 866 Which is the smallest value? (a) -19 (b) 7 (c) -1/2 (d) -1/4 (e) 17 (f) 2/9 a Which is the smallest value? (a) -53.57 (b) -2/5 (c) 1 (d) 26 a Which is the smallest value? (a) 0.5 (b) -408 (c) -2 b
{ "pile_set_name": "DM Mathematics" }
: 1, b: 1, k: 1}. What is prob of sequence dwkv? 1/840 What is prob of sequence mimm when four letters picked without replacement from {i: 2, m: 11}? 3/26 What is prob of sequence lp when two letters picked without replacement from rlpwpgpwlp? 4/45 Calculate prob of sequence il when two letters picked without replacement from lllllllillililll. 13/80 What is prob of sequence ddd when three letters picked without replacement from {d: 3}? 1 What is prob of sequence ci when two letters picked without replacement from ciiurbd? 1/21 Three letters picked without replacement from {c: 1, r: 1, g: 1, o: 2, e: 1, q: 1}. Give prob of sequence grc. 1/210 Four letters picked without replacement from qlmlttltmtthdqtmdt. What is prob of sequence dlmh? 1/4080 What is prob of sequence ala when three letters picked without replacement from {a: 5, l: 14}? 140/2907 Four letters picked without replacement from plllkglhlhlillg. Give prob of sequence ggih. 1/8190 What is prob of sequence ok when two letters picked without replacement from {k: 1, r: 1, o: 1, b: 1, f: 1}? 1/20 Three letters picked without replacement from wjwjjjjnjnjoj. What is prob of sequence ojj? 14/429 Two letters picked without replacement from {p: 14, v: 5}. What is prob of sequence pv? 35/171 Three letters picked without replacement from {z: 9, s: 3}. What is prob of sequence zsz? 9/55 Calculate prob of sequence llel when four letters picked without replacement from aalllaaae. 1/504 Two letters picked without replacement from mmmipvmvxmmvnmnm. Give prob of sequence np. 1/120 What is prob of sequence qh when two letters picked without replacement from {q: 4, h: 3, x: 1}? 3/14 Calculate prob of sequence jl when two letters picked without replacement from {u: 1, p: 2, j: 1, l: 1, q: 2}. 1/42 Two letters picked without replacement from rrbccrr. What is prob of sequence rr? 2/7 Two letters picked without replacement from {z: 4, q: 3, i: 6, y: 2, e: 3}. What is prob of sequence ye? 1/51 Four letters picked without replacement from imissismisiiimsm. Give prob of sequence iiss. 1/52 Two letters picked without replacement from rppararrrarr. What is prob of sequence ap? 1/22 Calculate prob of sequence ce when two letters picked without replacement from eeeececeeeeeceeeee. 5/34 Three letters picked without replacement from {x: 4, p: 1, y: 3, h: 3, z: 6, f: 2}. What is prob of sequence fxx? 4/969 Calculate prob of sequence vp when two letters picked without replacement from ppppvppv. 3/14 Two letters picked without replacement from ennnnnennnnnennennnn. Give prob of sequence ne. 16/95 Calculate prob of sequence la when two letters picked without replacement from gnayalagggg. 3/110 What is prob of sequence pssn when four letters picked without replacement from ptstnslstllinnt? 1/1820 Three letters picked without replacement from pzpzzpp. Give prob of sequence pzz. 4/35 What is prob of sequence eggx when four letters picked without replacement from uxeumxgdg? 1/756 What is prob of sequence nnhs when four letters picked without replacement from {n: 2, s: 2, h: 3, b: 4}? 1/660 Two letters picked without replacement from xlleefyvffxl. What is prob of sequence yl? 1/44 Three letters picked without replacement from {f: 1, w: 4, e: 1, n: 1, s: 1, j: 5}. What is prob of sequence jfj? 5/429 What is prob of sequence qeqx when four letters picked without replacement from deexqeeeeeeeeqqqq? 5/1428 What is prob of sequence ff when two letters picked without replacement from lllllfrllllrlflrll? 1/153 What is prob of sequence wwlw when four letters picked without replacement from {w: 7, l: 1}? 1/8 What is prob of sequence bbog when four letters picked without replacement from {o: 1, g: 2, b: 4, u: 1}? 1/70 Calculate prob of sequence jtt when three letters picked without replacement from tcrjctrwtcjt. 1/55 Two letters picked without replacement from qcdc. Give prob of sequence qd. 1/12 Two letters picked without replacement from wswnsdeu. What is prob of sequence ee? 0 Four letters picked without replacement from cdcdcdcccccc. Give prob of sequence dccc. 7/55 Two letters picked without replacement from zzziibbblzbznzzz. Give prob of sequence nb. 1/60 Calculate prob of sequence dz when two letters picked without replacement from {z: 3, d: 1, b: 4}. 3/56 Calculate prob of sequence sd when two letters picked without replacement from {c: 3, m: 4, s: 4, k: 2, p: 1, d: 6}. 6/95 Four letters picked without replacement from {k: 2, h: 4, m: 9, z: 4}. What is prob of sequence hhmh? 3/1292 Three letters picked without replacement from hihhali. Give prob of sequence aii. 1/105 Two letters picked without replacement from ggemgwimmim. What is prob of sequence gw? 3/110 Calculate prob of sequence diek when four letters picked without replacement from idifpepdkepipid. 1/1365 Two letters picked without replacement from {l: 2, n: 1, o: 1, e: 1, f: 5}. What is prob of sequence fn? 1/18 Calculate prob of sequence eek when three letters picked without replacement from kkkeekkkkkkkeekkke. 65/1224 Four letters picked without replacement from {d: 7, h: 12}. Give prob of sequence dddd. 35/3876 Calculate prob of sequence ddtt when four letters picked without replacement from {d: 2, f: 2, t: 2, s: 1, p: 1}. 1/420 Four letters picked without replacement from jkkxxppkmkkk. Give prob of sequence pjxp. 1/2970 Two letters picked without replacement from {v: 4, c: 1, n: 9, k: 1}. What is prob of sequence cn? 3/70 Two letters picked without replacement from {j: 2, t: 1, o: 2, p: 6, g: 5}. Give prob of sequence pp. 1/8 Two letters picked without replacement from eaaeea. Give prob of sequence ee. 1/5 Three letters picked without replacement from {e: 1, n: 4, w: 3, q: 3}. What is prob of sequence qen? 2/165 Calculate prob of sequence wim when three letters picked without replacement from {i: 2, q: 2, d: 5, m: 1, w: 2, a: 2}. 1/546 Three letters picked without replacement from {o: 1, g: 2, j: 1, c: 2, r: 1, b: 11}. What is prob of sequence ggj? 1/2448 Calculate prob of sequence vbbb when four letters picked without replacement from {b: 3, v: 7}. 1/120 Four letters picked without replacement from nncjbcccccccbvccjbcc. What is prob of sequence ccnv? 11/4845 What is prob of sequence pmmm when four letters picked without replacement from {e: 2, r: 3, m: 4, p: 2}? 1/165 Two letters picked without replacement from {g: 2, n: 2, m: 2, e: 6, d: 3}. Give prob of sequence nn. 1/105 Four letters picked without replacement from {q: 13, c: 3, l: 3}. What is prob of sequence qllq? 13/1292 What is prob of sequence vzyz when four letters picked without replacement from pvyzvyvvyz? 1/210 What is prob of sequence nnoo when four letters picked without replacement from znnoooozzzzzozzoz? 1/952 Three letters picked without replacement from jjjjjjjjdjjdjd. Give prob of sequence jdj. 55/364 Three letters picked without replacement from {h: 3, n: 4, t: 2, m: 1}. Give prob of sequence hhn. 1/30 Two letters picked without replacement from {x: 2, r: 1, w: 5, q: 3, f: 1, n: 1}. Give prob of sequence rw. 5/156 What is prob of sequence bb when two letters picked without replacement from {b: 3, r: 2}? 3/10 Calculate prob of sequence hoo when three letters picked without replacement from hhhhhhohohhohh. 11/364 Two letters picked without replacement from oonognogogcocnoo. What is prob of sequence co? 1/15 Two letters picked without replacement from ieeeiette. What is prob of sequence te? 5/36 What is prob of sequence jh when two letters picked without replacement from hhhhhhhhqhhjh? 11/156 Four letters picked without replacement from {q: 9, f: 11}. What is prob of sequence qffq? 22/323 Calculate prob of sequence wo when two letters picked without replacement from {o: 1, s: 1, w: 1, h: 1, x: 1}. 1/20 Two letters picked without replacement from eeueegegeeeeegggee. Give prob of sequence eg. 10/51 What is prob of sequence jj when two letters picked without replacement from {d: 1, a: 5, j: 3}? 1/12 Calculate prob of sequence ur when two letters picked without replacement from {y: 1, u: 1, r: 2, g: 1, s: 1, b: 1}. 1/21 What is prob of sequence bkkf when four letters picked without replacement from {b: 4, k: 5, f: 2}? 2/99 Calculate prob of sequence gve when three letters picked without replaceme
{ "pile_set_name": "DM Mathematics" }
6 = -y for i. -4 Let x(h) = 7 + 4*h**2 + 7*h - 4*h - 3 + h**3. Let y be x(-3). Solve -8 = -4*r - 7*f + y*f, 2*r - 4 = f for r. 2 Let f(b) be the second derivative of 2*b**4/3 - b**2/2 - 4*b. Let z be f(1). Suppose 28 = m + 3*m. Solve z = 4*s + y, m = 3*s - 4*y - 3 for s. 2 Let j(o) = 3 - 1 - 2 + o + 4. Let p be j(-4). Solve -g - 2 - 3 = p, -20 = 2*i + 2*g for i. -5 Suppose -5*z + 4 + 6 = 0. Suppose 2*r - 4*w + 6*w - 26 = 0, 0 = z*r + 4*w - 32. Suppose 4*j - 24 - 32 = 0. Solve -5*o = g - j, 3*g - 2*g = 3*o - r for g. -1 Let d = 0 + 3. Let w = -2 + -2. Let m be (w/3)/((-4)/6). Solve 0 = -m*n + g + 2, 4*n - 1 = -g - d for n. 0 Suppose 0 = -2*q - 5*p + 2, 2*p = -5*q + 7*p + 5. Solve 3*l - 3*i + q = -2, -i + 5 = -2*l for l. -4 Let w = -16 + 21. Solve -6*r + 2*r = 3*v + 35, 50 = -w*r - 5*v for r. -5 Let f be (-675)/(-40) + 1/8. Solve -5*v - b = -f, -5*v = -b - 7 - 16 for v. 4 Let z = 18 - 13. Suppose 0*q = 5*o + q - 6, -2*o = -z*q - 24. Solve 14 = 2*h + m, -o*m + 32 + 1 = 5*h for h. 5 Suppose -o + 3 = 5*q, 3*o + 6 = -2*q - o. Let l be (1/3)/(q/15). Solve -w - l*v = -0*v + 23, w + 3*v = -13 for w. 2 Let s = 20 - 16. Solve 4*j + 4*g = -j + 5, s*j = -2*g + 4 for j. 1 Suppose 5*a = 2*a + 15. Solve 5*l = a*p - 10, 6 = 4*p - 4*l - l for p. 4 Suppose 4*n + 0*z = -4*z + 28, -n = 5*z - 3. Solve 4*k + 0*a + 3*a = -n, -2*a - 10 = 5*k for k. -2 Let c = -2 + 4. Suppose -c*s + 0*s = 4. Let k(i) = -3*i - 1. Let f be k(s). Solve -f*r = -5*n - 25, 0 = 2*n + r + 8 - 1 for n. -4 Let f be (-3 + 2)/(-1 - 1/(-2)). Solve -i + f*i + 4 = q, 0 = -5*q + 3*i + 16 for q. 2 Suppose 3*d - 4*p = -d + 64, d - 2*p = 16. Let h = -9 + d. Suppose -4*w + 107 - h = 0. Solve -5*b + 0 + 13 = 3*k, b = 5*k + w for b. 5 Let i = -15 + 14. Suppose -5*w - 7 = -22. Let n = i + w. Solve 4*h - 3*z + 5 = 0, n*z - 5*z = h + 20 for h. -5 Suppose 14 = 2*p - 34. Let q be 2 + p/2 - 3. Suppose -4*m + q = 5*h - 25, -2*m + 28 = 5*h. Solve -2*a + 19 = 2*a + 5*d, -h*d + 15 = 3*a for a. 1 Let o(t) = 4*t + 3. Let b be o(4). Let f be b - 2/(-2) - -3. Solve -5*m = -2*i + i + f, m = 4*i + 3 for i. -2 Let n = -13 + 14. Suppose b - 2 = n. Solve 5*w = b*x + 31, -2*w + x + 4*x = -20 for w. 5 Let d(q) = -6 - q + 6 - 4. Let l be d(-10). Solve 3*u + 1 = -4*o, l*o - o + 2*u = -10 for o. -4 Let i = -30 + 34. Solve 3*a - 5*t = -3*t - 4, 36 = -i*a - 5*t for a. -4 Suppose 2*p - 14 = 5*o, -4*o - 1 = 3*p + 1. Solve y + p*q = -2*q - 9, -2*q = -5*y - 1 for y. -1 Let v be (-2)/7*(-24 + 17). Solve -v = w - 6*n + n, -4*w + 17 = 5*n for w. 3 Suppose -2 + 4 = u + j, j = -5*u + 22. Solve -u*t = 2*c - 2, 3*t - 2 = 2*c + 12 for t. 2 Let w be ((-48)/(-36))/(4/6). Solve 21 = h - 4*r, -5*h + w*r = -2*r - 41 for h. 5 Suppose 5*v - 4*h + 0*h = -13, -4*h + 5 = 3*v. Let m = v + 6. Solve 0 = c - 5*f + f - 8, 3*c + m*f + 10 = 0 for c. 0 Let c = 20 - 17. Solve -6 = 4*b + 2*m, c*m - 3 = -b + 3 for b. -3 Let r be 1/(-3) + (-75)/(-9). Solve -4*y = 2*k + r, 5*k + 2 = -3*y + 10 for y. -4 Let l = 12 - 22. Let u = -7 - l. Suppose 3 = 2*y - u. Solve 4*q - 10 = 5*k + q, -y*q - 30 = 3*k for k. -5 Suppose z + 3*z + 5 = f, 3*f - 2*z - 5 = 0. Suppose -n = n - 26. Suppose 2*w - n = f. Solve -2*o - 2 = -c - w, -c + 5*o - 20 = 0 for c. 5 Let h be 4/(-8)*(2 + 0 + -2). Solve 5*a - 5*i - 20 = h, -25 + 9 = -4*a - 2*i for a. 4 Let t(u) = -u**3 - 25*u**2 - 22*u + 51. Let f be t(-24). Solve 5*b + 6 = 4*y + 30, 2*b - 5 = -f*y for b. 4 Let a(z) = 4*z**2 + 2*z + 1. Let m be a(-1). Let r be 1/(m/15 - 0). Suppose 0*h = -2*h + 54. Solve 4*i + h = l + 5, -r*i + l = 27 for i. -5 Let f = -1 + 6. Let m(g) = -6*g**2 + g**3 - g**3 + f*g + g**3 + 5. Let r be m(5). Solve 5*q + 4 = q - 4*y, -q - r = 5*y for q. 0 Let o = 26 - 24. Solve -a = 3*x + 7, a = -x + o*a - 5 for x. -3 Suppose -q + 0*q + 17 = 0. Suppose -5*f = q + 3, 0 = g - 3*f - 16. Solve -5*d - a = 9, g*d + 0*d + 20 = -4*a for d. -1 Suppose 5*y - 2 = 8. Let b be 15/(-3 - -6) - 1. Suppose 3*f = -b*a + 8*f + 14, -3*a + 3*f = -12. Solve -y*k - 2 = -0, 3*u + a = -3*k for u. -1 Suppose -3*j + 3*c = -18, 0 = 2*j + 5*c - 1 - 18. Suppose 2*w = j*w - 5. Let m = w + 3. Solve 0 = -2*d - 4, -y - y + 10 = -m*d for y. 1 Let o(p) = 2*p**2 + 3*p - 3. Let z be o(-3). Suppose 2*w + z = 4*w. Solve m = -4*v + 9, -w*v + 4 = -m - m for m. 1 Let d be 268/52 + 2/(-13). Solve -2*y - d*u = -u + 10, -2*y + u = -10 for y. 3 Let o = -16 - -24. Solve z = y - 5, -3*y = o - 20 for z. -1 Let u = 4 - -1. Suppose u*f + 12 = 9*f. Solve 2*b = -2*h + h - 3, 3*b = -f for h. -1 Suppose 0 = -2*k + 52 - 36. Solve 4*g = z + 4 - 20, 2*g + 4*z + k = 0 for g. -4 Let u = 7 + -7. Solve 24 = -3*k - 5*l, u - 6 = 2*l for k. -3 Let w be (-6)/(-8) - (-85)/20. Solve -4*b = -2*z - 12, -2*z = w*b - 0 - 6 for b. 2 Suppose 0 = -3*g + 6*g. Suppose -3*w + g*k + 21 = 3*k, -2 = w - 2*k. Solve 3*o - 2 = 4*p, -w*o + o - 16 = 5*p for o. -2 Let c = 34 - 20. Suppose -4*u + i - 2*i - c = 0, -5*u = -4*i + 7. Let f = -1 - u. Solve -f*w + 2*q - 16 = -2, 3*w + q = -5 for w. -3 Let j = 60 - 40. Suppose -4*q - j = -c, 6*c - 28 = c - 4*q. Solve 3*w + 3*y = 0, -7*w + 3*w + 4*y + c = 0 for w. 1 Let j(u) = u + 5. Let p(y) = 1. Let z(k) = j(k) - 6*p(k). Let d = -10 - -14. Let v be z(d). Solve -h = 5*x - 19, -8 - 3 = -v*x - h for x. 4 Let h(j) = -2*j + 2. Let k be h(-1). Solve 4*w - 2 - 2 = c, k*w = -5*c + 28 for c. 4 Suppose -6*c + 2*c - 248 = 0. Let q = -42 - c. Solve -5*p = 5*y + q, 3*y + 2 = -4 for p. -2 Let g be (4 - 110/35)/(3/42). Solve j = -0*j - 5*y + 10, 0 = -4*y + g for j. -5 Let a be (304/(-8))/(0 - 2). Solve s = -0 + 3, 5*n = -2*s - a for n. -5 Let n be -7 + 8 - (-2 + 1). Suppose 0 = g - 0*g + 2*o + n, -3*g = -3*o - 3. Solve g = 2*x - 0*b - b + 1, -2*x - 2*b - 10 = 0 for x. -2 Let k be (-1)/(-3) - (-4)/(-3). Let s = 1 - k. Let g be 33*(s/(-3))/(-1). Solve -4*y = 5*m + g, -4 = m + 3*y + 7 for m. -2 Suppose 2*i = -2*h - 0*h + 10, -4*h + 3*i - 1 = 0. Solve 3*k = 2*t + 7, -h*t = -t - 3*k + 11 for t. 4 Let f = 10 + -8. Let n = 51 - 49. Solve -3*k + 8*k - f*z = -4, z = n for k. 0 Let s be 2 + (4/(-2))/1. Solve 3*a + 2*h + 6 = 18, a + 3*h - 4 = s for a. 4 Suppose -2*f - f + 15 = 0. Suppose 0 = 3*g + 4*u - 49 + 5, 0 = -5*g - f*u + 70. Solve 2*l + g = -4*r, -l - 14 = 2*r - 4*l for r. -4 Let k(i) = i**3 + 6*i**2 + 6*i + 7. Let w be k(-5). Let a be 25/w + (-3)/6. Solve 17 = 5*n - h, n = -n + 3*h + a for n. 3 Let s = -5 - -9. Let j be 1 - s - (9 - 12). Solve j*f + 20 = 4*f - 4*q, 11 = 3*f - q for f. 3 Suppose 3*m = 9 + 6. Solve 4*n - 5 = -3*i, -3*n - 3*i = -m*i + 9 for n. -1 Let o = 1 - -2. Let m be (-2)/2*7*-4. Solve -2*i + 18 = 3*x - 2, -4*x + m = o*i for x. 4 Suppose 0 + 10 = 2*k. Solve -32 = -k*n - 3*h, -3*n + 4*h = -n + 8 for n. 4 Suppose 2*a - 2 = a. Suppose 4*b + 1 = -5*d + 13, 4*d - a*b = -6. Solve -8 = 4*g + y, d = 2*y - 1 - 7 for g. -3 Let o(f) = -f**3 - f + 14. Let v be o(0). Let g = 31 - v. Solve -3 = -5*l - c + g, -4 = -l - 3*c for l. 4 Let p = -70 - -74. Solve 3*m + p = -h + 14, -5 = 4*h - 3*m for h. 1 Let m(p) = p**3 + 2*p**2 - 2*p - 1. Let z be m(-2). Solve z*v - 5 = 8*v - 4*r, -2*v = -2*r for v. -5 Suppose -3 = -2*q + d - 0*d, -4*q - 3*d = -11. Let y = -34 - -39. Solve 0 = 2*k - 3*j - y, -4*j = 3*k - 1 + q for k. 1 Let p be (-12)/(-40)*5*(-4)/(-3). Suppose -16 = -0*r - 2*r. Suppose -5*n = -r - p. Solve -5*w = -t - 2 + 1, -n*t - 2 = -w for t. -1 Let q = 67 - 65. Solve q*s - 5*i = -4 + 15, i + 1 = 0 for s. 3 Suppose -5*t = -2*t - 18. Suppose -2 = x - t. Suppose j - 1 = 1. Solve -3*o - 12 = 0, 0 = j*b - 8*o + x*o - 10 for b. -3 Suppose 60 = -0*t - 5*t. Suppose 26 = -3*f - f - 2*p, -5 = p. Let h be (2/f)/(2/t). Solve 2*b - 5*c - 6 = -0*c, 0 = -h*b - c - 8 for b. -2 Suppose -5*m + 2*m = -75. Let t(q) = 8*q - 39. Let x be t(9). Solve -2*j + 5*g = -x, -m = g + 4*g for j. 4 Let j = -7 + 10. Suppose j = l + 1. Let w be l/(-5) + 81/15. Solve x - o = -w, -2*x + 4*o = x + 18 for x. -2 Suppose 0 = -4*x + 4, x = 5*p - 28 + 4. Solve 0*l - 5*l + p*f - 40 = 0, -4*f + 16 = 0 for l. -4 Suppose 2*f - 4 = -0*f. Suppose 0 = 3*k + 2*q - 11, -f*q + 19 = 5*k - 2. Solve 5*a + 5*u = -25, k*a - u + 7 = -0*u for a. -2 Suppose 3*x - 2*x = 3*t + 39, 5*x = 4*t + 140. Solve 4 = 2*n + 2*a, 5*n + 0*a - x = 2*a for n. 4 Let f be 1/3 - (-8)/3. Suppose -d + f = 2*d. Suppose 0 = -v + d + 3. Solve v*x = 3*s - s + 4, -2*
{ "pile_set_name": "DM Mathematics" }
c**2 - 11*c + 8. Let i(v) = -2*v**2 - 21*v + 15. Let m(l) = b*i(l) + 11*p(l). Is m(3) a prime number? False Let z be 1*7*(-48)/(-28). Let u(x) = -z*x + 1 + 2 - 5. Is u(-2) prime? False Let r(z) = -186*z + 3. Is r(-5) a prime number? False Let k(a) be the second derivative of -a**3/6 - 2*a**2 - a. Let r be k(-6). Suppose -2*m = 3*w - w - 48, w - 29 = -r*m. Is w a prime number? True Suppose -2*z + 2*n - 9 - 7 = 0, -4*n = 3*z - 4. Let h be z/(-2) - (2 - 0). Suppose h*i + 5*i = 95. Is i prime? True Let n(j) = 3*j - 6. Let a(h) = -10*h + 19. Let b(o) = 2*a(o) + 7*n(o). Let d be b(6). Suppose 7*l - 50 = d*l. Is l prime? False Suppose -2*s = -x - 4671, 4*s - 5*x - 9181 = 176. Is s a prime number? True Suppose -648 = -5*f + 277. Is f prime? False Let b(a) = -a**2 - 4*a + 7. Let o be b(-6). Let z = o - -61. Suppose -5*q + 39 = -z. Is q a composite number? False Is (-4 - -6) + (1 - -288) a composite number? True Suppose 0*c = -4*c - 36. Let b be ((-93)/c)/((-4)/24). Let j = 149 - b. Is j a composite number? False Is (-21080)/(-72) - (-4)/18 a prime number? True Suppose -3*u = -7*u + 100. Is u a prime number? False Let v(s) = 2*s**2 + 8*s - 2. Let m be (-1 - (-15)/9)*-9. Is v(m) a prime number? False Let l = -1029 - -2272. Is l composite? True Suppose 0 = -3*p + 6 + 3. Suppose -p*s + 108 = -273. Is s composite? False Let l = -2 - -2. Is (0 + l + 39)*1 composite? True Let v(u) = u + 6. Let j be v(0). Let l = -6 - -3. Is ((-28)/j)/(1/l) a composite number? True Suppose -b - 4*l + 17 = -6, -l = 3. Let w = b + 26. Suppose 0 = -5*c - 3*u + w, -2*u + 21 + 27 = 4*c. Is c prime? True Suppose -4*l + 0*l = -2396. Is l a prime number? True Suppose 0 = -2*x - 3*x. Let z(m) = m + 1. Let i be z(x). Is -2 - (-21 + 3 + i) composite? True Let m be 825/3*(-10)/(-25). Suppose 2*d - 60 = -o + 55, 3*d + m = o. Is o a prime number? True Let c be (-72)/(-10)*(0 - -10). Suppose c + 2 = 2*q. Is q a composite number? False Suppose 6*k = k + 820. Suppose -3*j - 2*m = -36 + 159, -4*j - m = k. Let c = j - -88. Is c prime? True Let q = 150 - -8. Let d = q - 103. Is d prime? False Let t(s) = -3*s**3 - 3*s**2 + 3*s + 6. Let p(k) = -k**3 - k. Let x(l) = -2*p(l) + t(l). Let g = -7 - -2. Is x(g) prime? True Let t = -10 - -15. Let d(u) = u**2 + 2*u. Is d(t) prime? False Suppose 0 = -2*u, 4*t - u - 4*u + 4 = 0. Let v(f) = 43*f**2 + f + 1. Is v(t) composite? False Let i(m) be the third derivative of 0 - 7/12*m**4 - 5/6*m**3 + 0*m - m**2. Is i(-6) composite? False Suppose 642 + 74 = 4*d. Is d a prime number? True Let x(j) be the second derivative of j**5/5 - j**4/12 - j**3/3 + j**2/2 - 3*j. Is x(2) a composite number? True Suppose -l - 5*y - 4 = -0*l, -3*y - 18 = -2*l. Is (3/l)/(1/94) composite? False Suppose -2*j + 0 - 4 = 4*d, -4*d = 0. Is 76 - 6*1/j a prime number? True Suppose 3*c + 11 = -7. Let k = c - -11. Suppose 55 = 3*g + 2*g + k*t, -34 = -3*g - 4*t. Is g a composite number? True Let s be 10*((-3)/(-6) + 2). Let f = s + 102. Is f a prime number? True Let a(w) = 2. Let k(q) = -6*q - 108. Let p(t) = 108*a(t) + 2*k(t). Let c be p(3). Let g = 17 - c. Is g composite? False Let i = 53 + 90. Is i a prime number? False Suppose -3*o = 3*v - 7*o - 810, -4*o + 1108 = 4*v. Is v a prime number? False Suppose -5*o + 5*w + 647 = -2*o, 4*w = 2*o - 430. Suppose 5*r = 46 + o. Is r a composite number? False Let g(r) = 28*r**2 - 4*r - 11. Is g(-5) prime? True Is -2 + 3 + -3 + 60 a composite number? True Let a(y) = 6*y**2 + y**2 + 1 - 2 - y**3 + y. Is a(7) a composite number? True Suppose -b - 5*y + 11 = -5, -4*b - y + 102 = 0. Suppose h = 168 + b. Is h composite? True Let v(t) = -7*t**3 + 7*t**2 - 5*t + 1. Let y be v(5). Let m(k) = -k**2 + k + 4. Let j be m(0). Is y/(-8) + (-6)/j a prime number? True Suppose 4*c = -d - 8, -2*c = 3*c + 15. Let z(s) = d*s**2 - 3 + 2 + 0. Is z(2) composite? True Let t(i) be the third derivative of i**4/24 + 119*i**3/6 - i**2. Is t(0) prime? False Let g(o) = 3*o + 3. Let t = -4 + 8. Is g(t) a prime number? False Let a(v) be the second derivative of v**5/20 - v**4/2 + 3*v**2/2 - 2*v. Let l be a(6). Is 102/(-45)*l*-5 a composite number? True Let t(u) = 9*u + 1. Let p(g) = g**2 + 12*g + 15. Let y be p(-11). Suppose 0 = y*k - 4*o + 4, 4*k - 5*o + 1 + 8 = 0. Is t(k) composite? False Suppose 2*b = -t + 1141, 3*t - b - 3468 = 2*b. Is t prime? True Let k = 2 - 1. Let f = k - -2. Suppose l + l - 34 = -4*p, -5*p - f = -4*l. Is l composite? False Suppose -32*l = -34*l + 3246. Is l composite? True Suppose -135 = -0*x - x - 4*q, -x + 5*q + 90 = 0. Suppose 0 = -0*c + c - x. Is c composite? True Let s be (-4 + 3)*3 + 7. Is (1 - s)/(1/(-7)) a composite number? True Let h be (2 - 3) + 1 - 0. Suppose -d + 557 = 3*d + 5*n, h = -2*n - 6. Is d a prime number? False Is -2*(0 + (-19)/2) composite? False Suppose 3*t + q - 5*q - 27 = 0, 4*q = -3*t + 3. Suppose -2*v + j + 3*j = -54, t*j = -3*v + 136. Is v composite? False Suppose 6*c = -5*g + 4*c, -c = -2*g. Suppose g*f = -3*x + 4*f + 205, 2*x - 144 = -f. Is x prime? True Suppose -4*t = -586 + 78. Is t prime? True Suppose 0 - 6 = -3*q. Suppose q*n - 851 = 5*v, -5*n + 2*v + 235 = -1840. Is n prime? False Let g = -6 + 8. Suppose -m = -4*n + 3, 5*n = -3*m + 27 - g. Suppose j - 125 = -n*y, 2*y + 64 = -5*j + 169. Is y a composite number? True Suppose -24*h - 232 = -28*h. Is h composite? True Let y(h) = h**3 + 23*h**2 - 5*h + 12. Is y(-17) composite? False Suppose -35 = -z + 6*z. Let f(n) = 6*n**2 + 9*n - 10. Let p(h) = -7*h**2 - 9*h + 11. Let c(t) = -6*f(t) - 5*p(t). Is c(z) a composite number? False Let a(c) = -c**3 - 3*c**2 + 5*c + 6. Let j be a(-4). Suppose -647 = -j*i + 5*h, -3*i = 4*h - 1098 + 93. Is i a prime number? True Let h be 4449/27 + (-4)/(-18). Suppose 7*o - h = 2*o. Is o a prime number? False Suppose p - 5 = 0, 2*m = -0*p - 3*p + 17. Is ((-15)/(m + -2))/1 a composite number? True Let v be (49/(-14))/(1/(-18)). Suppose -v = -5*o + 2. Is o prime? True Suppose 0 = g - 2*c - 914 - 147, -2*g + c + 2116 = 0. Let f = g + -638. Is f prime? True Let q be 4 - ((-3)/(-3) - 1). Suppose 0 = q*p - 5 - 3. Suppose -156 = -2*m + p*l, -m + 2*m = -5*l + 72. Is m composite? True Suppose 5*p + 10 = 0, -2*x + 5*p + 0*p + 2504 = 0. Is x composite? True Let r be (-42)/10 - (-1)/5. Let l(h) = -h**2 - 5*h + 1. Let u be l(r). Suppose -214 = -u*j - 4*s, -s + 180 = 3*j + j. Is j composite? True Let m be 164/(-16) + 4/16. Is ((-75)/m)/((-2)/(-4)) prime? False Let t be 842 + (-4)/(-2) - 0. Suppose 3*q = -q + t. Is q composite? False Suppose 17 - 4 = -4*x + 3*w, -2*x - 5 = -w. Let d be x/(((-3)/(-1))/3). Is (-4 - -3)/(d/53) a composite number? False Let j be (5 + 1)*2/6. Suppose -2*t = 5*r + 18, -2*t - 4*r - 36 = j*t. Let m(p) = -13*p + 10. Is m(t) prime? True Let r = 3 + 0. Suppose -r*n + 3*s - 2 = 4, 10 = 5*n - s. Is n*4/6 + 24 composite? True Suppose 0 = -2*k - 0*k - u - 9, -u = 5*k + 27. Let v = 132 + -89. Let b = k + v. Is b composite? False Suppose -5 = -3*s + 4. Let u be 75/s + (-2 - -1). Suppose -3*k - 5*l + 17 - 2 = 0, 0 = -3*k - 2*l + u. Is k a prime number? False Let y be 217 - 7/((-7)/2). Let w(o) = -5*o + 1. Let j be w(7). Let s = y + j. Is s a composite number? True Let a(k) = 63*k**2 - 5*k - 13. Is a(-7) composite? False Let f(v) = -v**3 + 9*v**2 - 3*v - 6. Is f(4) prime? False Suppose -3*l = -5*r + 9 + 15, 4*l - 5*r + 27 = 0. Is ((l - -3) + -1)*-85 prime? False Let b be 1 + -3 - -1*16. Let u = b - 9. Suppose 3*n - u*z - 164 = 0, 2*n - 155 = -n - 4*z. Is n a composite number? False Suppose 0 = -r - r + 4. Is -4*(r - (-10)/(-4)) prime? True Let d(w) = 7*w + 18*w - 7*w + 8 - 3. Is d(5) a composite number? True Let b be -4 - -6 - (1 + 1). Suppose b = 3*j - 89 - 64. Is j prime? False Suppose 5*a - 528 = -4*j, 5*a + 28 = -j + 175. Is j composite? False Suppose 3*o - 2*c - 9 = -5*c, 0 = o - 2*c - 6. Let a(m) = -4*m + 5*m + 2 - o*m. Is a(-4) prime? False Let v(i) = 7*i**2 + 12*i - 2. Is v(9) a prime number? True Let g be (-3767)/5 + 6/(-10). Let y = -467 - g. Is y composite? True Let s = -9 - -5. Let j(o) = o**3 + 5*o**2 + 5*o + 6. Let w be j(s). Let g(l) = 19*l - 1. Is g(w) composite? False Let n(x) = -x**3 - 9*x**2 + 10*x + 5. Let o be n(-10). Suppose -k - 269 = -2*u + 2*k, -o*u + 610 = 5*k. Is u a prime number? True Is ((-2757)/(-12))/(0 - 1/(-4)) composi
{ "pile_set_name": "DM Mathematics" }
2988, 6366, 11092, 17166, 24588? 33358 What is next in 48901147, 97802293, 146703439, 195604585, 244505731? 293406877 What is the next term in 9298594, 37194387, 83687376, 148777561? 232464942 What is next in -8578, -6468, -4358, -2248, -138, 1972? 4082 What comes next: 5987745, 5987721, 5987697, 5987673, 5987649, 5987625? 5987601 What comes next: -120805, -241709, -362971, -484771, -607289, -730705? -855199 What is next in 951, 2276, 4503, 7644, 11711, 16716, 22671, 29588? 37479 What comes next: -263219, -263224, -263239, -263270, -263323, -263404? -263519 What is next in 26593, 106323, 239219, 425281, 664509? 956903 What is next in -478428, -956929, -1435430, -1913931, -2392432? -2870933 What is next in -54110, -96269, -138428, -180587, -222746? -264905 What is next in -228738243, -228738244, -228738245, -228738246, -228738247? -228738248 What comes next: 18502119, 37004230, 55506341, 74008452, 92510563, 111012674? 129514785 What is next in -380, -2490, -8166, -19190, -37344, -64410, -102170, -152406? -216900 What is next in 19194, 12651, 1754, -13491, -33078, -57001? -85254 What comes next: -101074, -101156, -101248, -101356, -101486, -101644, -101836, -102068? -102346 What comes next: 49787, 50743, 53341, 58403, 66751? 79207 What is next in 48474, 193909, 436322, 775725, 1212130? 1745549 What is next in 8864299, 8864269, 8864239, 8864209, 8864179? 8864149 What is next in 1383, 2765, 4111, 5403, 6623, 7753? 8775 What comes next: 3054518, 3054521, 3054526, 3054533, 3054542, 3054553? 3054566 What comes next: 55166, 110322, 165468, 220604, 275730? 330846 What is the next term in 8194226, 32776946, 73748146, 131107826? 204855986 What comes next: 14858648, 29717362, 44576062, 59434742, 74293396, 89152018? 104010602 What is the next term in 1104, 1929, 2206, 1659, 12, -3011? -7686 What is the next term in 49967, 99682, 149397, 199112, 248827? 298542 What is the next term in 43836, 43606, 43228, 42702, 42028, 41206? 40236 What comes next: 6657, 8331, 10011, 11697, 13389, 15087, 16791? 18501 What comes next: -8290, -31282, -69596, -123226, -192166, -276410, -375952? 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2035409 What comes next: -1388007, -2776011, -4164015, -5552019, -6940023, -8328027? -9716031 What is the next term in 619, 493, 441, 493, 679, 1029, 1573, 2341? 3363 What comes next: -2628, -8271, -17662, -30789, -47640? -68203 What comes next: 330606, 332367, 335310, 339441, 344766, 351291, 359022, 367965? 378126 What comes next: -3691, -10213, -21083, -36301? -55867 What comes next: 213311700, 426623403, 639935106, 853246809, 1066558512, 1279870215? 1493181918 What is the next term in 82165, 95035, 116485, 146515, 185125, 232315, 288085? 352435 What is the next term in 567697, 567699, 567701? 567703 What is the next term in 17, 409, 1075, 2033, 3301, 4897, 6839, 9145? 11833 What is next in -10886, -44725, -101154, -180197, -281878, -406221, -553250? -722989 What is the next term in 1786565, 1786522, 1786449, 1786346? 1786213 What comes next: 1370, 2821, 4264, 5693, 7102, 8485, 9836? 11149 What is the next term in -213498, -853987, -1921468, -3415941? -5337406 What is next in 3083, 11355, 25129, 44411, 69207, 99523? 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68360 What is the next term in -249, -1040, -2375, -4242, -6629, -9524, -12915? -16790 What is the next term in 54, -30, -248, -612, -1134, -1826, -2700? -3768 What is the next term in 282650, 282754, 282918, 283136, 283402? 283710 What comes next: 1261, 3080, 4899? 6718 What is the next term in -10775, -82255, -276289, -654155, -1277131, -2206495, -3503525? -5229499 What is the next term in -423198, -422757, -422314, -421869, -421422, -420973? -420522 What is next in 725207, 1450309, 2175411, 2900513? 3625615 What is the next term in 201141, 201032, 200925, 200820? 200717 What is next in -638, -2500, -5628, -10040, -15754? -22788 What comes next: -12637, -31254, -62283, -105724, -161577, -229842? -310519 What is next in -4526, -38623, -131182, -311435, -608614, -1051951, -1670678? -2494027 What comes next: 152451, 152419, 152385, 152349, 152311? 152271 What is next in 633161, 633155, 633145, 633131, 633113, 633091? 633065 What comes next: 2378, 6677, 10976, 15275, 19574, 23873? 28172 What is next in -3791278, -7582580, -11373882, -15165184, -18956486, -22747788? -26539090 What is the next term in 374927, 1500061, 3375293, 6000629, 9376075, 13501637, 18377321? 24003133 What is the next term in 96315, 384402, 864541, 1536726, 2400951, 3457210? 4705497 What is next in -464245, -925369, -1386497, -1847629, -2308765, -2769905, -3231049? -3692197 What is next in -471100, -942226, -1413352? -1884478 What is the next term in 25236, 46209, 67180, 88149, 109116? 130081 What is next in 46190113, 46190112, 46190111, 46190110, 46190109, 46190108? 46190107 What is the next term in 973865, 3895417, 8764671, 15581627, 24346285, 35058645, 47718707? 62326471 What comes next: -2593072, -2593070, -2593072, -2593078, -2593088? -2593102 What is next in -4301, -4899, -5897, -7301, -9117? -11351 What is next in 99605, 398368, 896269, 1593308, 2489485, 3584800? 4879253 What is the next term in -54071863, -108143727, -162215591? -216287455 What is next in -246, -2929, -10208, -24381, -47746, -82601, -131244, -195973? -279086 What is next in 49688, 198924, 447706, 796028, 1243884, 1791268? 2438174 What is the next term in 6057, 12254, 18451, 24648, 30845? 37042 What is next in -11614, -22986, -34360, -45742, -57138, -68554, -79996? -91470 What is the next term in 18546, 19009, 19472, 19935, 20398, 20861? 21324 What comes next: 1876, 4367, 7422, 11035, 15200, 19911, 25162? 30947 What is the next term in 14118, 22551, 30984? 39417 What is next in 950417, 1900892, 2851419, 3801998, 4752629, 5703312, 6654047? 7604834 What comes next: 5560, 11148, 16774, 22438, 28140, 33880, 39658? 45474 What comes next: -808844848, -808844847, -808844846, -808844845, -808844844? -808844843 What is the next term in 1330696, 2661398, 3992100, 5322802, 6653504? 7984206 What is next in -35743169, -71486350, -107229533, -142972718, -178715905? -214459094 What is the next term in 9348, 37028, 83034, 147372, 230048? 331068 What is next in 1684720, 3369435, 5
{ "pile_set_name": "DM Mathematics" }
*3 + 9*t**2 + 3*t - 12. Let r be p(8). Let q = 83 - r. Give d(q). 8 Let j be (170/(-119))/((-1)/(-7)). Let k(y) = -2*y + 1. What is k(j)? 21 Let w be (5/10)/(3/(-48)). Let g(l) be the first derivative of -l**3/3 - 4*l**2 + 7*l - 17. Give g(w). 7 Let y(i) be the third derivative of -i**4/3 - i**3/3 + i**2 + 2*i. Determine y(-2). 14 Let o(d) = -8. Let h(l) = l + 1. Let p(j) = -5*h(j) - o(j). Let m(w) = w**3 + w**2 - 13*w. Let v be m(3). Give p(v). 18 Let h be (15/15)/(1/33). Let c = -39 + h. Let w(q) be the second derivative of q**4/12 + 7*q**3/6 + 5*q**2/2 - 2*q. What is w(c)? -1 Let i be 8/(-2)*(-30)/40. Let o(q) = 8*q - 3. Give o(i). 21 Let o(u) = -4*u**2 + 41*u - 22. Let f(h) = -2*h**2 + 20*h - 11. Let v(p) = -9*f(p) + 4*o(p). Calculate v(8). 11 Let g(z) = z + 17. Let t = 384 - 397. Calculate g(t). 4 Suppose c - 5 = 5*t, 0 = t + 4*t + c - 5. Let s(g) be the second derivative of 1/6*g**3 - 8*g - 2*g**2 + t. Determine s(4). 0 Let t(q) = -q**3 - 6*q**2 + 9*q + 4. Let p be t(-12). Let w(z) = -8*z + z**2 + 3*z - p + 755. Determine w(5). -5 Let t(b) = 1 + 8*b - 3*b + 2 - b - 5*b. Suppose 4*i - i = 0. What is t(i)? 3 Suppose 0 = -3*n - 0*n + 4*g + 48, n - 3*g - 11 = 0. Let w = n + -23. Let x(b) = b**2 + 6*b. Calculate x(w). -9 Let w(m) = m**3 - 3*m**2 - 5*m + 4. Let y be (4/(-12))/((-6)/18) + 3. Give w(y). 0 Let w be -1*(-9)/((-36)/(-8)). Let x(i) = 8*i**2 + i - 1. Calculate x(w). 33 Let i(s) = -s**2 + 8*s + 12. Let w be i(10). Let g = 17 + w. Let k(c) = 4*c**2 - 21*c + 7. Let r(t) = -t**2 + 5*t - 2. Let d(n) = g*r(n) + 2*k(n). What is d(3)? -4 Let q(u) = u**2 + 2*u + 3. Suppose 6*k = -0*k + 30. Suppose k*r - 4 = -19. Determine q(r). 6 Let z = 18 - 21. Let r(j) = 203 - 65 - 67 + 2*j**2 - 67 + 5*j. Calculate r(z). 7 Let s(i) = 1 + 4*i + 0*i - 3 - 6*i. Let p(b) = -b**2 + 13*b + 52. Let f be p(16). What is s(f)? -10 Let w(r) = -3*r - 5 - 7*r**2 + 3 + 2*r + 3. Let b be -2 + (9 - (3 + 3)). Calculate w(b). -7 Let m(s) = s - 2. Suppose 0 = -f + 4*g - 12, 2 = -3*f - 5*g - 0. Let v be m(f). Let x(k) = -4 + 3 - k - 7. Determine x(v). -2 Let r be (-1)/2*(-6 + 2). Suppose 2*l - 3*a = -1 - 24, r*l - a + 19 = 0. Let m(n) = -3*n - 11. Determine m(l). 13 Let h(l) = -5 + 0*l**2 - 11*l**2 + 7*l + 10*l**2 + l. What is h(7)? 2 Let c(x) = -14*x + 26. Let n(q) = -q + 3. Let m(j) = c(j) - 12*n(j). Calculate m(-9). 8 Suppose 0*v = 4*v + 8. Suppose -5*c + 9*c = 44. Let u(k) = c*k - 16*k + 3*k. Calculate u(v). 4 Suppose -4*w + 36 = 5*l, 5 + 7 = w + 2*l. Let a be 28 - (-1 - 0/(-2)). Suppose a = w*d + 1. Let t(o) = -o**3 + 8*o**2 - 7*o + 3. Calculate t(d). 3 Let j(p) be the first derivative of 2*p**3 - 12. Give j(2). 24 Let w(z) be the third derivative of -1/20*z**5 - 1/120*z**6 - 7*z**2 + 0*z + 0 + 1/3*z**3 + 1/12*z**4. What is w(-2)? -6 Let v(l) be the third derivative of -l**4/24 - 7*l**3/3 + l**2 + 12. Calculate v(-8). -6 Let c(w) = w**2 - 7*w + 6. Suppose -24 = 4*i - 2*i. Let h = 369 - 351. Let t be (6/h)/((-1)/i). Determine c(t). -6 Let f(i) be the third derivative of -i**7/280 + i**5/60 - i**4/24 + i**3/2 + 9*i**2. Let h(v) be the first derivative of f(v). Calculate h(1). -2 Let o(d) = d**3 + 10*d**2 + d + 14. Suppose r = 2*y + 17, -5*y - r - 15 = 38. What is o(y)? 4 Let b(v) = v - 1. Let r(u) = 12*u + 15. Let a(o) = 3*o + 4. Let m(l) = 15*a(l) - 4*r(l). Let s(k) = b(k) + m(k). Suppose -3*p + 11 - 26 = 0. Determine s(p). 9 Let s(w) = w**3 + 3*w**2 - 3*w - 3. Suppose 2 - 59 = 19*x. What is s(x)? 6 Let b(u) = u**3 - 3*u**2 + u + 3. Suppose -f + 11 = 3*i, -i - 2*f + 14 = i. Calculate b(i). 1 Let t(a) = 5*a**2 + 1. Suppose -12*s = 8 + 4. Calculate t(s). 6 Suppose -830 = -7*h + 2*h - 4*x, 0 = -h - 2*x + 172. Let v(l) = -9*l + 163*l**2 - 6 - h*l**2 + 2*l. Determine v(8). 2 Let b(w) be the first derivative of -w**4/4 + 7*w**3/3 - 4*w**2 + 3*w - 71. Let d be 4/26 - 228/(-39). Calculate b(d). -9 Let w(t) = 0*t**2 - 8*t - t - t**2 + 0*t + 1. Calculate w(-6). 19 Let s(v) be the first derivative of -v**2 - 1/4*v**4 - 2*v**3 - 6 + 5*v. Give s(-5). -10 Let d(k) = 8*k**2 - 3*k + 13. Let o(q) = 7*q**2 - 3*q + 12. Let t(i) = 6*d(i) - 7*o(i). Calculate t(5). -16 Let l be (-2 - 0 - (-306)/68)*-2. Let z(m) = -3*m - 3. Calculate z(l). 12 Let x be (4/(-8))/(2/(-60)). Let s = -15 + x. Let v(w) = -w + 1. Give v(s). 1 Let n(s) = -s + 6. Suppose 4*u + 3*z + 41 = 0, -3*z + 15 = -5*u + 2*u. Calculate n(u). 14 Suppose -5*a - 4*q = 10, 0 = -a + 6*a + q - 5. Let f(t) = -3*t + 2 + 3*t + a*t. Calculate f(3). 8 Suppose -3*o + 0*x + 33 = -2*x, 0 = 4*x + 12. Let s(y) = -y**2 + 13*y - 17. What is s(o)? 19 Let c be (-2 - 40/(-15))/((-6)/27). Let j(v) = -v**2 - 3*v - 6. Let q(s) = -s - 1. Let g(m) = j(m) - 2*q(m). Determine g(c). -10 Let d(s) = s**3 + 8*s**2 + 14*s + 15. Let r be d(-6). Let m(w) be the second derivative of -1/6*w**4 + 5/6*w**r + 3*w + w**2 + 0. Calculate m(4). -10 Let y(l) = 2*l - 2. Let t(j) = -4*j - 153. Let g be t(-38). Give y(g). -4 Let j(b) = b**3 + 6*b**2 - 8. Suppose 72*h + 30 = 67*h. Calculate j(h). -8 Let f(z) = z**3 + 5*z**2 - 8*z - 2. Suppose -4*t = -4*c - 12, t + 2 = 2*t. Let q be (-9 - 3)*(c + 0). Suppose a - 3*a - q = 0. Calculate f(a). 10 Let o be ((-5)/(-10))/(1*(-9)/(-54)). Let q(d) = -5*d - 4. Determine q(o). -19 Let i(m) = m**3 - 6*m**2 - 9*m + 8. Let r be i(7). Let n(z) = -z**3 - 8*z**2 + z + 3. Let g(f) = -f**2 - 1. Let k(v) = 2*g(v) - n(v). What is k(r)? 1 Let p(c) = 7*c**2 + 11*c - 1. Let v(s) be the third derivative of -s**5/20 - 5*s**4/24 + s**2. Let u(n) = -4*p(n) - 9*v(n). Give u(4). -8 Let n = -128 - -125. Let a = 9 - 7. Let j(k) = 2*k**a - k**2 - 3*k + 2*k - 5*k**2 - k**3. Calculate j(n). -6 Let o(j) = -j - 4. Let a be 6 + ((-3)/6 - 1)*8. Calculate o(a). 2 Let x(a) = a**2 - a - 5. Let q(m) = 6*m**2 + 10*m - 52. Let b(s) = -q(s) + 7*x(s). Calculate b(12). -43 Let c = -3 + -2. Let n(s) = -2*s**3 - 21*s**2 - 7*s - 7. Let h(y) = y**3 + 11*y**2 + 4*y + 4. Let z(u) = -11*h(u) - 6*n(u). What is z(c)? 8 Let a be 1/2 + 392/112. Let n(x) = 7 + 2*x**3 + 2*x - x**3 - 2 - 4*x**2. Determine n(a). 13 Suppose -81 = 4*l - 25. Let c(f) = -3*f - 9. Give c(l). 33 Let a(j) = -7*j**3 + 2*j**2 + 13*j - 9. Let p(r) = 13*r**3 - 5*r**2 - 26*r + 17. Let c(w) = -11*a(w) - 6*p(w). Determine c(9). 33 Let j(k) = -k**2 + 13*k + 4. Suppose 128 = 4*i + 84. What is j(i)? 26 Let x(z) be the second derivative of -z**5/20 + z**4/6 - z**2/2 - 91*z. Let l(j) = 2*j**2 + 2*j - 2. Let h be l(-2). Determine x(h). -1 Let o = 8 + -26. Let t = -20 - o. Let c(n) = -n + 2. Give c(t). 4 Let v = 20 - 14. Suppose 0 = -v*d + d - 3*g + 37, -3*d + 3*g = -3. Let t(r) = r**2 + d*r - 2*r**2 + 8 + 3*r**2 - 6. Give t(-3). 5 Let v(i) = -i - 15. Let j = -508 + 501. What is v(j)? -8 Suppose -5*x + 4*x = -2, 2*x = -3*y - 20. Let d(k) = -5*k - 1. Calculate d(y). 39 Suppose -8*j = 6*j - 28. Let f(t) = 2*t**2. Calculate f(j). 8 Let i(x) = -2*x**3 - x**2 + 5*x + 1. Let c be i(-2). Let v(q) be the first derivative of q**4/4 - q**3 + 3*q + 8. Determine v(c). 3 Let m(g) = g**2 + g - 17. Let a be m(-5). Let t(r) = -3 - a*r + 2*r + 3. What is t(-3)? 3 Let s(c) = -c**2 - 7*c + 9. Let p be s(-7). Let d(i) = i**3 - 10*i**2 + 9*i - 6. Let a be d(p). Let y(m) = m + 2. Calculate y(a). -4 Let l(t) be the first derivative of 0*t + 5 - 1/6*t**3 + 1/24*t**4 + 2*t**2. Let a(q) be the second derivative of l(q). What is a(-3)? -4 Let d(z) = 3*z**2 + 3*z - 3. Let s be d(-2). Let y(x) = -3*x + s*x**2 + 2*x - 3*x**3 + x**3. Determine y(2). -6 Let i(a) be the second derivative of a**3/2 - 4*a**2 - 7*a - 9. Determine i(2). -2 Let z(m) = m + 10. Let u be z(-5). Let w(d) = -2*d + u*d**2 + 0*d + 1 - 2. Let n be ((-42)/(-6))/(-7)*1. Determine w(n). 6 Let o(i) = -i + 8. Let k be o(0). Suppose -4*a + 2*a = k. Let f(j) = -12*j - 6. Let s(d) = -7*d - 4. Let b(z) = -3*f(z) + 5*s(z). Determine b(a). -6 Let c(k) = -k**3 + 4*k**2 + 6*k - 7. Suppose 4*y - 5*t + 55 = 0, 7*y - 2*y + 5*t + 125 = 0. Let q = y + 25. Calculate c(q). -2 Let l be (-7 - (-203)/40) + 2. Let j(h) be the third derivative of -l*h**6 + 3*h**2 - 1/24*h**4 + 0 + 0*h + 1/60*h**5 + 1/6*h**3. Determine j(1). -8 Suppose -6*z + 25 + 17 = 0. Let l(y) = 3*y**2 + z*y + y - 4 - y**3 - 4*y. What is l(3)? 8 Let u(t) = t**3 - 9*t**2 + t - 6. Let g be u(9). Let b(i) = -7 + g + 3*i - 3 - 4. Let p(c) = -c
{ "pile_set_name": "DM Mathematics" }
226577 = 0. Is m composite? False Suppose 0 = 15*q - 19*q + 44. Suppose q*k = 30239 + 3960. Is k prime? True Let v(f) = -114*f - 28. Let i be v(-20). Suppose -3*p = p - i. Is p a prime number? True Let q = -17 + 15. Let f be (195 + -7)*(1 - q). Is f/8*(-2)/(-3) composite? False Suppose 0 = 17*l - 93765 + 20954. Is l a prime number? True Suppose -2*w + 1543 - 525 = 0. Let k = 1162 - w. Is k a composite number? False Suppose -3*q - 44216 = -2*w - 7152, 3*q + 55593 = 3*w. Is w composite? True Suppose -7 = 2*l - 17. Let z(a) = 16*a + 2. Is z(l) a prime number? False Let p(l) = -l**3 + 14*l**2 + 16*l - 19. Let s be p(15). Let x be (-4 - -10) + s + 1797. Suppose -3*g - 2998 = -5*y, -4*g + 6*g + x = 3*y. Is y composite? False Suppose -3*q = -4*v - 1420, -1072 - 393 = -3*q - 5*v. Suppose 4*b = -4*j + 352 + q, 20 = 4*j. Is b a composite number? True Let u = -22 + 26. Suppose -3*y + 2*y - 1519 = -u*q, -4*y = 2*q - 782. Suppose 3*d = 3*r - q, -4*r - 5*d = -214 - 258. Is r prime? False Suppose 5*t - g = -17, 7 = 2*t + 5*g + 3. Let a(r) = -116*r - 17. Is a(t) a prime number? True Suppose 0 = -19*w + 21*w + 4. Is (-419)/w - (-8)/(-16) a composite number? True Suppose -3*r = -2*s - 2*r + 1342, 4*r = 16. Is s a prime number? True Suppose 348 = 4*q + 2*v, 4*v = 5*q - q - 372. Is q prime? True Let u(k) be the second derivative of -k**4/12 + k**3/2 + 9*k**2/2 + 12*k. Let o be u(4). Suppose a - 4*p - 18 = 0, a = o*a - 3*p - 46. Is a prime? False Let b = -863 - -337. Let y = -934 - b. Let h = y - -755. Is h prime? True Suppose 4718 + 1735 = 27*d. Is d a composite number? False Let m(f) be the first derivative of 1019*f**4/4 - f - 14. Is m(1) composite? True Let m be -3 - -4 - -1 - 3. Is 6/(-8) - m - (-59566)/232 a prime number? True Let g(s) = 20*s**3 + 38*s**2 + s + 22. Let u(f) = 7*f**3 + 13*f**2 + 7. Let j(l) = 6*g(l) - 17*u(l). Is j(9) composite? True Let o = 1029 + -409. Let b = o + -57. Is b composite? False Let h = 27 + -24. Suppose -1756 = -4*x - m, -h*x + m + 1317 = -0*x. Is x composite? False Let i(w) = -564*w + 82. Is i(-5) prime? False Suppose 3304 = 4*w + 4*g, 2*w - g + 4110 = 7*w. Is w prime? True Suppose 0 = -51*b + 7*b + 33044. Is b a composite number? False Let j(u) = 205*u - 3. Let p(d) = -d - 1. Let f(z) = j(z) - 6*p(z). Is f(1) a composite number? True Suppose 2*i - i = 4*p + 109, 0 = -4*i - 3*p + 398. Let m = i + -66. Is m a prime number? False Let a = -143 + 37. Let r = a + 165. Is r a composite number? False Let j be ((-8)/(-10))/(1/(-20)). Let t = 20 + j. Suppose -t*z - 472 = -0*a - 4*a, a + 3*z = 98. Is a composite? False Let a(s) = s**3 + 8*s**2 + 7*s - 7. Let r be a(-7). Suppose -2*l + 4*l + 2*g - 30 = 0, -3*l - g + 35 = 0. Let b = r + l. Is b a prime number? True Let f(b) = b**2 - 7*b - 10. Let m be f(-5). Let w = m - 29. Is (1834/w)/(4/6) composite? False Let p = 20264 + -10651. Is p prime? True Let g(r) = r - 5. Let o be g(10). Let n(m) = m**2 - 5*m + 10. Let t be n(o). Suppose -z + 43 = -t. Is z composite? False Suppose 4*a - y + 6 = 3*a, -a - y = 2. Is (-1)/(a - (-11020)/2756) composite? True Let x(j) = 4*j**2 - 83*j - 64. Is x(-39) a composite number? False Let n be (-2)/(-1 + (-24)/(-20)). Let k be (n/(-3))/((-8)/(-12)). Suppose -119 = -w - u - 27, 0 = -w - k*u + 96. Is w prime? False Suppose -10*y + 8*y - 8 = 0. Let u(i) = -14*i**2 - i - 1. Let a be u(-2). Is a/(-4) - 1/y composite? True Let y be 6513/(-4) - (-3)/12. Let s = 2515 + y. Is s prime? True Suppose 8*n = -50 + 2. Is ((-2798)/n)/1 - 2/(-3) composite? False Let o be -1 + 3 - (-398)/2. Let a = 620 - o. Is a a composite number? False Let n(a) be the second derivative of a**4/12 - 19*a**3/6 - 11*a**2/2 + 5*a. Is n(-15) prime? True Let m = -5 - -15. Suppose m*w - 7096 = 2*w. Is w a prime number? True Is (49714/(-42) + -12)*6/(-2) a prime number? False Suppose 140688 = -3*y - 9*y. Is 3 - ((-10)/(-45) - y/(-27)) a composite number? True Suppose -h + 3 = -0*h. Suppose -z = h*z - 1084. Let i = z + -80. Is i a prime number? True Let z(x) = 54*x + 1. Let o be (2/(-2) + 2)/(0 - -1). Is z(o) prime? False Is 193711/(-63)*-6*3 a prime number? False Let z be (-2398)/(-99) + 4/(-18). Suppose -29*k + 6245 = -z*k. Is k composite? False Let t(k) = k**3 - 3*k**2 + 3*k - 7. Let j be t(10). Suppose 623 + j = 2*p. Is p composite? False Suppose -f - 3*f + 35844 = 0. Let j = f - 4054. Is j prime? False Let y(x) = -x**2 - 17*x - 16. Let d be y(-15). Is 470/20*(d - 0) composite? True Let p(a) = 30*a**2 + 12*a - 53. Is p(-13) a prime number? True Let y(x) be the second derivative of x**5/20 - 5*x**4/12 - x**3/6 + x**2/2 + x. Let i = 174 - 168. Is y(i) a prime number? True Let r(w) = -1 - w + 1 - 156*w**3. Let x(i) = 16*i + 95. Let j be x(-6). Is r(j) composite? False Let c be (0/(-5))/((-4)/(-2)). Let j be (6 - 3) + c + 21. Is 3166/8 - 18/j a composite number? True Suppose 5*y - b + 2456 = 0, -5*y + 4*b - 2*b = 2452. Let a = y - -1193. Is a a prime number? True Let z = 45 + -42. Suppose -4*v - 3258 = -2*p - 0*v, -z*v = -3*p + 4902. Is p a composite number? True Suppose 2*o - 3 = -5. Let d be (-2 - o)/((-7)/154). Let t = -9 + d. Is t a composite number? False Let b = -31 + 121. Let g = -140 + b. Let r = g + 93. Is r composite? False Let v(p) = -p + 12. Let i be v(7). Is (-5414)/(-2) - 0*i/(-25) prime? True Let n = 6126 + -3215. Is n composite? True Let f(w) = 5*w**3 - 3*w**2 + 15*w - 27. Is f(8) prime? False Let m(j) = j**2 + 2*j + 4. Let n be m(-2). Suppose 0 = 3*s + n*q - 1171, 1211 = 3*s - q - 3*q. Is s composite? False Let x(j) = -j**2 + 3*j + 1357. Is x(0) a composite number? True Let r = -130 + 140. Suppose -4*c + 12112 = 4*i, 15149 = -5*c + r*c - 4*i. Is c a prime number? False Suppose -4*z = 4*f - 16 + 4, 0 = f - 4*z + 2. Is (-4)/4 + f - -984 a composite number? True Let r be (-1 + 6)/(5 + (-5103)/1022). Suppose -5*b = -r - 2725. Is b a prime number? True Let s = -14 - -22. Suppose -s*l + 308 = -4*l. Is l composite? True Suppose -2*u + 6 = -34. Suppose 0 = -17*r + u*r - 177. Is r prime? True Let c(t) = -14*t - 40. Let h be c(13). Let n = -80 - h. Is n prime? False Let c = 4597 - 3212. Is c prime? False Suppose -5*s + 7 = -23. Suppose l - s - 123 = 0. Is l a composite number? True Let r = 360 + -226. Let m be 2/7 - 12/(-7). Is (-8)/(-32)*m*r prime? True Suppose -2*w - 9*u + 7542 = -5*u, -3*w + 4*u + 11353 = 0. Is w a prime number? True Suppose 2*o + l - 855 = -295, 5*l + 548 = 2*o. Suppose 6*k - 3*k = o. Suppose -6*d + 9*d = k. Is d a prime number? True Let m(o) = 6*o + 11. Let d be 2/(-6)*2*-9. Let x(i) = -7*i - 10. Let u(h) = d*x(h) + 5*m(h). Is u(-4) composite? False Let f = 1514 - 900. Suppose -f = -2*a + 5*p, -2*a + 243 + 365 = -2*p. Is a composite? True Let l(q) = -11*q - 30. Let w(t) = -12*t - 31. Let u(s) = 7*l(s) - 6*w(s). Is u(-26) a prime number? False Let q(p) be the third derivative of 7*p**5/10 + 7*p**4/24 - 2*p**3 + 14*p**2. Is q(5) composite? True Let h = 1 - -12. Suppose -5*s + 12 + h = 0. Suppose -n - s*r = -361, -2*r = -0*r + 8. Is n prime? False Let k be ((-81516)/(-60))/(3/15). Suppose 0*c = 5*a - 4*c - 34023, -a - 5*c = -k. Is a prime? True Let y = 3817 - -4704. Is y composite? False Suppose -3*x = 2*x. Suppose x*l - l + 4 = 0. Is (-1)/(249/63 - l) a prime number? False Let j = 31 + -36. Let f = j + 8. Suppose f*t + 2*a - a = 2942, 0 = -5*a + 25. Is t prime? False Let a = 43 + 406. Suppose -4*q - 4*c = -91 - 365, 3*c = 4*q - a. Is q a prime number? True Let d(r) = -1317*r - 13. Is d(-22) prime? True Let y(l) = 73*l**2 - 4*l - 70*l**2 - 7*l + 360*l**2 + 5. Is y(-4) a composite number? False Let w = -6 - -229. Is w prime? True Suppose -4*b = -1 - 11. Suppose p = 2*g - 1170, 0 = b*g - 2*p - 295 - 1458. Is g a prime number? True Suppose -28*j + 133131 = -91121. Is j composite? False Let i(s) = 6655*s**3 - 2*s**2 + 11*s - 13. Is i(2) a prime number? False Suppose 0 = 3*k - 8*k. Suppose 5*s - 38 = -y, k = s + 3*y - 5 + 3. Is 6/(-3)*(-356)/s prime? True Suppose -5*f = -11*f. Suppose f = -p + 554 + 277. Is p prime? False Let g = -52 + 33. Suppose 0*o - 2*v - 72 = -o, o + 4*v = 78. Let c = g + o. Is c a composite number? True Let j be (6/(-9))/((-2)/501). Let w(z) = z**2 + 27*z - 28. Let h be w(-28). Suppose -2*v + j + 87 = h. Is v a composite number? False Let y = -26804 -
{ "pile_set_name": "DM Mathematics" }
prob of picking 1 q and 1 a? 1/136 What is prob of picking 4 l when four letters picked without replacement from {g: 1, l: 1, c: 1, h: 1, q: 1}? 0 Calculate prob of picking 1 m and 3 q when four letters picked without replacement from qqqqqqqqqqqqqqqmqq. 2/9 Calculate prob of picking 1 r, 1 i, and 1 g when three letters picked without replacement from {i: 1, d: 1, k: 1, g: 1, r: 1}. 1/10 Calculate prob of picking 2 c and 1 n when three letters picked without replacement from {r: 4, n: 4, c: 2}. 1/30 What is prob of picking 1 b and 2 e when three letters picked without replacement from bbbbebbbebbebbbbebb? 30/323 Three letters picked without replacement from vtmvvtvmtzvvmttvvvvm. Give prob of picking 1 m and 2 z. 0 Four letters picked without replacement from {q: 3, b: 4}. Give prob of picking 4 b. 1/35 Calculate prob of picking 2 g when two letters picked without replacement from {g: 4}. 1 Calculate prob of picking 1 u and 3 y when four letters picked without replacement from {y: 13, u: 3}. 33/70 Calculate prob of picking 2 y when two letters picked without replacement from nnnnyyeyfenienyfi. 3/68 What is prob of picking 1 c and 1 w when two letters picked without replacement from {c: 13, w: 5}? 65/153 Two letters picked without replacement from rlrrrrlrrr. What is prob of picking 1 r and 1 l? 16/45 What is prob of picking 2 e and 2 v when four letters picked without replacement from evevvvveve? 3/7 What is prob of picking 1 s and 1 o when two letters picked without replacement from sooqsqoaooo? 12/55 Four letters picked without replacement from pppppupppppppppppppp. Give prob of picking 1 u and 3 p. 1/5 Two letters picked without replacement from yykk. What is prob of picking 2 y? 1/6 Three letters picked without replacement from xxlxl. Give prob of picking 2 l and 1 x. 3/10 Calculate prob of picking 1 b and 1 j when two letters picked without replacement from ybjjbybyy. 1/6 Calculate prob of picking 3 x when three letters picked without replacement from vvxvggvgxxgvvvgevvg. 1/969 Two letters picked without replacement from {q: 5, o: 3, i: 7, m: 1}. Give prob of picking 1 q and 1 o. 1/8 Calculate prob of picking 3 j when three letters picked without replacement from {p: 1, s: 3, j: 1, q: 2, b: 6}. 0 Two letters picked without replacement from {u: 5, z: 2}. What is prob of picking 2 u? 10/21 Two letters picked without replacement from {j: 4, l: 2, x: 8}. What is prob of picking 2 j? 6/91 Two letters picked without replacement from {k: 6, f: 8, a: 3}. What is prob of picking 1 f and 1 k? 6/17 Calculate prob of picking 4 o when four letters picked without replacement from oooxooooxlloxoxxoox. 55/646 What is prob of picking 1 r, 1 z, and 1 p when three letters picked without replacement from ppzrppppppp? 3/55 Calculate prob of picking 1 g and 1 v when two letters picked without replacement from gggvvvgvvg. 5/9 Four letters picked without replacement from {x: 5, w: 2, t: 2}. What is prob of picking 1 t and 3 x? 10/63 Four letters picked without replacement from {l: 2, d: 8, p: 2}. Give prob of picking 2 l and 2 p. 1/495 Three letters picked without replacement from ffffffffffif. What is prob of picking 2 f and 1 i? 1/4 What is prob of picking 3 x and 1 a when four letters picked without replacement from aggxagxaagagggxg? 1/364 Three letters picked without replacement from {q: 4}. What is prob of picking 3 q? 1 Four letters picked without replacement from pppvppppppvvpv. Give prob of picking 4 v. 1/1001 Three letters picked without replacement from {c: 1, e: 1, p: 1, r: 1, t: 1, l: 2}. Give prob of picking 1 c, 1 e, and 1 t. 1/35 Three letters picked without replacement from {k: 1, z: 3, c: 6, u: 8}. Give prob of picking 1 u and 2 z. 1/34 What is prob of picking 1 m, 1 h, and 2 k when four letters picked without replacement from mkkkkmhkm? 5/21 What is prob of picking 1 f and 1 p when two letters picked without replacement from {v: 2, s: 3, k: 2, p: 2, f: 4}? 4/39 What is prob of picking 4 l when four letters picked without replacement from {l: 8, t: 5}? 14/143 Four letters picked without replacement from zxzeeezzezqeoxxxx. What is prob of picking 1 e, 1 x, and 2 z? 25/238 Calculate prob of picking 1 k and 1 s when two letters picked without replacement from {u: 4, s: 3, k: 1}. 3/28 What is prob of picking 1 b, 1 y, and 1 p when three letters picked without replacement from {y: 3, b: 1, p: 1}? 3/10 Three letters picked without replacement from slgggoggggogsbsj. What is prob of picking 2 s and 1 l? 3/560 Two letters picked without replacement from {q: 13, m: 6}. What is prob of picking 2 q? 26/57 Two letters picked without replacement from kfeefaakkafeeegeek. Give prob of picking 2 e. 7/51 What is prob of picking 2 c when two letters picked without replacement from {c: 2, h: 4}? 1/15 Two letters picked without replacement from vcwccjcccwjccckgvv. What is prob of picking 1 k and 1 w? 2/153 Two letters picked without replacement from {g: 6, c: 7, p: 1}. What is prob of picking 1 c and 1 g? 6/13 Four letters picked without replacement from cchchccchhcch. Give prob of picking 2 c and 2 h. 56/143 Calculate prob of picking 2 j when two letters picked without replacement from xxxjxxgjxxg. 1/55 What is prob of picking 3 g when three letters picked without replacement from gpggppg? 4/35 Two letters picked without replacement from hhddyhdqyyhobqb. What is prob of picking 2 b? 1/105 What is prob of picking 1 g, 1 n, and 1 p when three letters picked without replacement from {g: 1, n: 4, p: 2}? 8/35 Calculate prob of picking 1 d, 2 c, and 1 m when four letters picked without replacement from {m: 5, c: 6, d: 2}. 30/143 Two letters picked without replacement from pcubl. Give prob of picking 1 l and 1 c. 1/10 What is prob of picking 1 p and 2 o when three letters picked without replacement from {a: 1, o: 2, y: 1, p: 4}? 1/14 Two letters picked without replacement from {g: 5, l: 1, p: 1, r: 4}. Give prob of picking 1 p and 1 g. 1/11 Calculate prob of picking 3 w when three letters picked without replacement from {l: 1, w: 12}. 10/13 Two letters picked without replacement from {e: 1, o: 4, x: 1, t: 7}. What is prob of picking 1 o and 1 e? 2/39 Two letters picked without replacement from didiqfc. What is prob of picking 1 f and 1 q? 1/21 Calculate prob of picking 1 v and 3 p when four letters picked without replacement from jpppppppjv. 1/6 What is prob of picking 3 z when three letters picked without replacement from {o: 5, z: 13}? 143/408 Three letters picked without replacement from {h: 5, u: 9}. What is prob of picking 3 h? 5/182 What is prob of picking 2 k when two letters picked without replacement from lllklkl? 1/21 Calculate prob of picking 2 e, 1 q, and 1 d when four letters picked without replacement from {q: 1, d: 1, z: 2, e: 2, f: 1, c: 1}. 1/70 Two letters picked without replacement from {h: 5, o: 3}. Give prob of picking 2 h. 5/14 Two letters picked without replacement from ybvvvvyvy. What is prob of picking 1 v and 1 y? 5/12 What is prob of picking 1 j and 2 h when three letters picked without replacement from {h: 2, w: 5, j: 8, t: 2}? 1/85 What is prob of picking 1 x and 1 m when two letters picked without replacement from {x: 1, m: 5, t: 4, u: 3}? 5/78 What is prob of picking 2 b and 1 r when three letters picked without replacement from blrrsbrsbrbbbbbl? 1/5 Four letters picked without replacement from muvmbmbvzbm. What is prob of picking 1 z, 2 m, and 1 v? 2/55 Three letters picked without replacement from sgbbssbbggsbgbgxg. Give prob of picking 3 g. 1/34 Three letters picked without replacement from iiigiiigiigi. Give prob of picking 3 g. 1/220 What is prob of picking 2 o when two letters picked without replacement from {o: 6}? 1 What is prob of picking 2 f and 2 w when four letters picked without replacement from wwfwwfwwwf? 3/10 Four letters picked without replacement from {a: 2, x: 1, r: 7, d: 5, c: 1, l: 1}. What is prob of picking 1 d, 1 x, 1 r, and 1 c? 1/68 Calculate prob of picking 2 p and 1 c when three letters picked without replacement from {k: 5, p: 10, z: 3, c: 2}. 3/38 Two letters picked without replacement from vvqcqcgqvgvvcqq. What is prob of picking 2 v? 2/21 Three letters picked without replacement from hbhiirhhhhiih. Give p
{ "pile_set_name": "DM Mathematics" }
*l**3 + 2*l**2 + 3*l + 1988723 wrt l. -196*l**3 + 261*l**2 + 4*l + 3 Find the second derivative of 1472278*k**2*z**2 - 8675*k**2 + 2*k*z**2 + 2*z**2 + 812*z + 1 wrt z. 2944556*k**2 + 4*k + 4 Find the third derivative of -100023955*q**6 + 2*q**2 + 11413134. -12002874600*q**3 Find the third derivative of -243994963*u**4 - 23014*u**2 + 12*u - 2 wrt u. -5855879112*u What is the second derivative of -442412904*c**2 - 33075804*c - 4? -884825808 Find the second derivative of 205557753*g**5 - 236106333*g wrt g. 4111155060*g**3 Differentiate -1297587*d*o - 694797884*d + 128*o with respect to o. -1297587*d + 128 Find the second derivative of 4342787*l**2 + 21523721*l wrt l. 8685574 Find the third derivative of 115087*k**2*m**3 + k**2*m**2 + k**2*m - 482*k*m**3 + 50470875*m**2 + 2*m wrt m. 690522*k**2 - 2892*k What is the third derivative of 1785*n**6 - 37*n**4 + 231*n**3 + 14*n**2 - 1875588 wrt n? 214200*n**3 - 888*n + 1386 What is the first derivative of 71696946*m - 42906958 wrt m? 71696946 What is the second derivative of 157689323*c**2*h + c*h + 2037*c - 15569*h wrt c? 315378646*h Find the third derivative of -27376252*k**3 - 26435377*k**2 wrt k. -164257512 Differentiate 5410543*a**2*z + 617*a**2 - 20*a*z + 4040*a + z wrt z. 5410543*a**2 - 20*a + 1 Find the second derivative of 241737361*a**4 - 78895*a - 47 wrt a. 2900848332*a**2 Find the first derivative of -10552446*u**4 - 6251059. -42209784*u**3 Find the third derivative of 612414039*n**2*o**3 - 3664565*n**2*o**2 + 2*n**2 + n*o + 3 wrt o. 3674484234*n**2 Find the third derivative of 871529*m**3 - 3*m**2 - 21273*m - 5. 5229174 Differentiate 11336338*i - 16327159 with respect to i. 11336338 Find the second derivative of -1212567*j**4 - 2*j**3 + 52*j - 63339. -14550804*j**2 - 12*j What is the first derivative of -1803*p*v**2 + 3*p*v + 10762820*p + 4*v**2 + 16*v wrt v? -3606*p*v + 3*p + 8*v + 16 Find the third derivative of 478434990*h**3 - 4*h**2 + 321*h + 9680. 2870609940 What is the third derivative of 184768702*h**3 - 207214457*h**2 wrt h? 1108612212 Find the third derivative of -10165304*c**4 + 2036*c**2 + 114 wrt c. -243967296*c What is the second derivative of -25397460*o**5 + 2*o - 2558230? -507949200*o**3 What is the derivative of -m**3 - 24947670*m**2 - 6*m + 208581057? -3*m**2 - 49895340*m - 6 Find the third derivative of 12359837*y**3 - 5961*y**2 + 490. 74159022 What is the derivative of -5532776*h*k - 6*h - 54186628*k wrt h? -5532776*k - 6 What is the first derivative of 39687125*d**2*n*v + 2*d**2*n - 4*d**2 - 2*d*n - 36849*d - 5*n*v - 6*n - 4 wrt v? 39687125*d**2*n - 5*n What is the first derivative of -90922972*g**2*o + 283889095*g**2 wrt o? -90922972*g**2 What is the third derivative of 57*x**6 - 3030*x**5 + 82*x**3 + 4657*x**2 - 720*x - 6? 6840*x**3 - 181800*x**2 + 492 Differentiate -18787925*x**4 - 32864936 with respect to x. -75151700*x**3 What is the first derivative of -1784*s**4*u + 812*s**3*u + 1951*u - 2052 wrt s? -7136*s**3*u + 2436*s**2*u What is the third derivative of 7*i**5 + 50*i**4 + 1040*i**3 - i**2 - i + 5720906 wrt i? 420*i**2 + 1200*i + 6240 Find the second derivative of -46688240*f**5 - 140*f + 50110. -933764800*f**3 What is the first derivative of 192*y**4 + 3451504*y - 842594169? 768*y**3 + 3451504 What is the second derivative of -31664705*m**2 - 13633225*m? -63329410 Find the second derivative of -5014893*h**2 + 1052*h + 629 wrt h. -10029786 What is the third derivative of -1239*d**3*k**2 - 4758*d**3 + 40776*d**2*k + 33*k**2 wrt d? -7434*k**2 - 28548 What is the third derivative of 7962905*j**4 + 26*j**2 - 58*j - 209? 191109720*j What is the second derivative of -11602842*l**2 + 172520219*l? -23205684 Find the second derivative of -2411032*o**4*t**3 + 13*o**4 - 4*o*t**3 - 114*o*t**2 - o*t + 3*t**2 - 1503*t wrt o. -28932384*o**2*t**3 + 156*o**2 Find the third derivative of -51926042*w**4 + 7*w**3 + 2*w**2 - 10917*w - 10037 wrt w. -1246225008*w + 42 Find the third derivative of -48000599*m**3 + 31750*m**2 - 55. -288003594 Find the third derivative of -19898*m**4 + 260*m**3 + m**2 + 2699862*m. -477552*m + 1560 What is the third derivative of 777*v**4*z - v**4 + 2415*v**3 - 4*v**2*z - 2*v**2 + 108365*v*z - 7*z + 3 wrt v? 18648*v*z - 24*v + 14490 Find the third derivative of 948833*j**4 - 3*j**3 - 35*j**2 - 47724. 22771992*j - 18 Find the second derivative of 31001736*y**4 + 490*y - 24504. 372020832*y**2 What is the second derivative of -k**3*s + 63*k**3 - 10*k**2*s + 177*k**2 - 6*k*s + 1877263*s wrt k? -6*k*s + 378*k - 20*s + 354 What is the first derivative of -21*w**4 - 4283*w**3 + 536*w - 521601046 wrt w? -84*w**3 - 12849*w**2 + 536 Differentiate 44*b**3 - 22*b**2 - 9031*b - 100316193 with respect to b. 132*b**2 - 44*b - 9031 Find the second derivative of -26*q**5*y + q**3 - 818038*q**2*y + 79*q*y + q + 4540*y - 1 wrt q. -520*q**3*y + 6*q - 1636076*y What is the second derivative of -37715324*l**5 + 69968198*l wrt l? -754306480*l**3 Find the first derivative of j**3*u**3 - 1905713*j**3*u**2 - 16*j**3 - 11*j**2 + 9257*j - 2 wrt u. 3*j**3*u**2 - 3811426*j**3*u What is the second derivative of -2*g**2*n**2 + 2*g**2*n + 249654*g**2 - 129104*g*n**2 - 8*n**2 - 10*n wrt n? -4*g**2 - 258208*g - 16 Find the first derivative of 82581275*i**3 - 363957514. 247743825*i**2 What is the second derivative of -6136423*v**4 - 1494626*v - 43? -73637076*v**2 Find the second derivative of 71158698*x**3 + 257657*x + 12 wrt x. 426952188*x Differentiate -14001110*t**4 - 489272255 wrt t. -56004440*t**3 Find the third derivative of -876794*n**4 - 6*n**3 - 190*n**2 + 10931*n wrt n. -21043056*n - 36 Find the first derivative of -455380586*j**2 + 214311279. -910761172*j What is the second derivative of 19*b**2*c**2 + 242*b**2*c - 199458*b*c**2 + 70136*b*c wrt c? 38*b**2 - 398916*b Differentiate -5*t*u - 5035452*t + 462983*u**2 wrt u. -5*t + 925966*u Find the first derivative of 103670*k**3 + 17*k + 41815628. 311010*k**2 + 17 Find the second derivative of 2*j**4 - 813*j**3 - 857*j**2 - 56*j - 79413 wrt j. 24*j**2 - 4878*j - 1714 What is the third derivative of 23583*i**4 - 12*i**3 + i**2 + 9445898*i - 3 wrt i? 565992*i - 72 Differentiate -7878701*d - 3644413 with respect to d. -7878701 What is the second derivative of 1666180*b*v**2 - b*v + 22963*b - 39*v**5 + 16*v - 7 wrt v? 3332360*b - 780*v**3 Find the first derivative of -254*j**4 + 864*j**3 + 162*j**2 - 88427319. -1016*j**3 + 2592*j**2 + 324*j Differentiate -24205375*p - 10881280 wrt p. -24205375 What is the third derivative of -957*h**5 + 218*h**4 - 736*h**3 + 9*h**2 + 537093*h + 14? -57420*h**2 + 5232*h - 4416 Find the second derivative of 566767565*u**2 + 644043320*u. 1133535130 What is the third derivative of 291595*r**4 - 17190378*r**2 wrt r? 6998280*r What is the third derivative of 1258537*i**4*o - 2*i**3 - 6*i**2 + 36*i - 11599*o + 3 wrt i? 30204888*i*o - 12 Find the second derivative of -264*g*u**2 - 36503083*g*u - 77660*u**2 wrt u. -528*g - 155320 Find the third derivative of 791*s**4 + 2677*s**3 + 5794301*s**2. 18984*s + 16062 Differentiate 130049758*m*q**3 + 11*q**3 - 191796*q**2 with respect to m. 130049758*q**3 What is the second derivative of -955630982*h**5 + 733885521*h wrt h? -19112619640*h**3 Find the third derivative of -5943*j**5 + 304*j**4 + j**3 - 515779120*j**2 + 1 wrt j. -356580*j**2 + 7296*j + 6 What is the second derivative of -5871542*t**4 + 63027*t + 33 wrt t? -70458504*t**2 Differentiate k**3 - 5*k**2 + 2247643*k + 218583418 with respect to k. 3*k**2 - 10*k + 2247643 Find the first derivative of 2*d*v*x + 131*d*v + 11*d*x - 182*d + 29*v - 1667989*x wrt d. 2*v*x + 131*v + 11*x - 182 What is the second derivative of 34*h**2*l**3 + 337*h**2*l**2 + 658*h**2*l + 3783666*h - 17*l**3 wrt h? 68*l**3 + 674*l**2 + 1316*l Find the second derivative of 647*c*g**5 - 3*c*g**2 + 2*c + 252*g**5 - 47123904*g wrt g. 12940*c*g**3 - 6*c + 5040*g**3 Find the second derivative of -29125*z**5 - 17514*z**3 - 629862083*z. -582500*z**3 - 105084*z Find the first derivative of 62*z**3 - 9476*z**2 + 7*z - 1517556 wrt z. 186*z**2 - 18952*z + 7 Find the second derivative of -221*q*r**2*x + q*r**2 - 3*q*r*x - 4*q*x - 35*q - 7224*r**2*x - 2*r*x - 4*x + 5 wrt r. -442*q*x + 2*q - 14448*x What is the first derivative of 839*k*r**3 + 287*k
{ "pile_set_name": "DM Mathematics" }
50309 to two decimal places. -35.5 Round 253.9396 to the nearest ten. 250 What is -387.07 rounded to the nearest ten? -390 What is -165.96 rounded to 0 dps? -166 What is -0.1204613 rounded to 4 decimal places? -0.1205 Round 0.1805244 to 1 decimal place. 0.2 What is -33.92235 rounded to one dp? -33.9 What is 350.6407 rounded to 0 dps? 351 Round -0.000508212 to 6 dps. -0.000508 Round 727.069 to zero dps. 727 Round -3617537.6 to the nearest one hundred thousand. -3600000 Round -162781.2 to the nearest 100. -162800 Round 635595 to the nearest 10000. 640000 Round -12666.815 to the nearest 100. -12700 Round 156598 to the nearest 100000. 200000 What is -194866.2 rounded to the nearest 10000? -190000 What is 0.00959656 rounded to five dps? 0.0096 Round -25574280 to the nearest 1000000. -26000000 Round -4.1548 to zero dps. -4 What is -9926.65 rounded to the nearest 100? -9900 What is -8253.1471 rounded to the nearest ten? -8250 Round -35.6813 to 0 decimal places. -36 Round -321.92173 to one dp. -321.9 Round 113822000 to the nearest 1000000. 114000000 What is -0.005064369 rounded to 4 decimal places? -0.0051 Round 498673.8 to the nearest 100000. 500000 Round -647480 to the nearest 100000. -600000 Round 4092438 to the nearest 10000. 4090000 What is -10393.19 rounded to the nearest 100? -10400 Round -0.0354383 to 4 dps. -0.0354 What is 0.0120879 rounded to 4 decimal places? 0.0121 What is -1.64103 rounded to three dps? -1.641 What is 0.0002097046 rounded to 4 dps? 0.0002 Round -5386300 to the nearest 1000000. -5000000 Round -2326140200 to the nearest one million. -2326000000 What is -1634.033 rounded to the nearest ten? -1630 What is -26.2763 rounded to zero decimal places? -26 Round -1434144.6 to the nearest ten thousand. -1430000 Round -23.680048 to the nearest integer. -24 Round 1.61881 to 2 decimal places. 1.62 Round -357492.03 to the nearest one thousand. -357000 Round 4089.41 to the nearest one hundred. 4100 What is -0.0000006263938 rounded to 7 dps? -0.0000006 What is -272.0047 rounded to the nearest integer? -272 Round -0.0006075613 to six dps. -0.000608 Round -94755750 to the nearest one million. -95000000 What is -94925.36 rounded to the nearest 10000? -90000 Round 21.7057 to one dp. 21.7 What is -148090700 rounded to the nearest 100000? -148100000 Round 0.002013582 to three dps. 0.002 Round -0.004314824 to 5 decimal places. -0.00431 What is -0.000002724522 rounded to six dps? -0.000003 Round -10634.832 to the nearest one thousand. -11000 What is 5729940 rounded to the nearest 1000000? 6000000 Round -21.81769 to the nearest ten. -20 What is -0.001810255 rounded to four decimal places? -0.0018 Round -2913.19 to the nearest 1000. -3000 What is 1.6878574 rounded to 4 decimal places? 1.6879 Round 8491.52 to the nearest 10. 8490 What is -4705.12 rounded to the nearest one thousand? -5000 Round -0.0309395 to 3 decimal places. -0.031 Round 6.276579 to the nearest integer. 6 Round 0.000062564 to 5 decimal places. 0.00006 What is 0.00072099 rounded to five dps? 0.00072 What is 0.0000623861 rounded to five dps? 0.00006 Round -0.03882549 to four dps. -0.0388 What is 2716747.2 rounded to the nearest 10000? 2720000 Round 0.0000001760416 to seven dps. 0.0000002 What is -0.629841 rounded to two dps? -0.63 What is -116.0377 rounded to the nearest integer? -116 Round 7.53035 to 1 decimal place. 7.5 What is 354080 rounded to the nearest 100000? 400000 Round -3.177222 to one decimal place. -3.2 Round 25483.8 to the nearest one hundred. 25500 What is -0.085148458 rounded to four dps? -0.0851 Round 43075040 to the nearest ten thousand. 43080000 What is -7341.12 rounded to the nearest one thousand? -7000 Round 64212200 to the nearest one million. 64000000 What is 297.68 rounded to the nearest 10? 300 Round 26060.695 to the nearest 10. 26060 Round 0.6649162 to 3 decimal places. 0.665 What is -0.0000080864 rounded to 6 dps? -0.000008 What is -2749129 rounded to the nearest one million? -3000000 What is 934950 rounded to the nearest 100000? 900000 Round 12.184736 to the nearest integer. 12 What is -0.000842787 rounded to four dps? -0.0008 Round 9.810978 to the nearest integer. 10 What is -0.0010028611 rounded to four dps? -0.001 Round 0.02867677 to 4 decimal places. 0.0287 What is -32.8176 rounded to one decimal place? -32.8 Round 6592.43 to the nearest 1000. 7000 What is 0.001911693 rounded to 5 decimal places? 0.00191 Round 0.0000641389 to 5 decimal places. 0.00006 What is -0.039960201 rounded to two dps? -0.04 Round 12548.875 to the nearest ten. 12550 What is -31866390 rounded to the nearest ten thousand? -31870000 What is -0.0088018 rounded to 3 dps? -0.009 Round -0.00059664955 to five dps. -0.0006 Round 0.000000813091 to six decimal places. 0.000001 Round -95760.8 to the nearest 100. -95800 Round -253.37274 to the nearest 10. -250 What is 9583.713 rounded to the nearest one hundred? 9600 What is -0.00009072963 rounded to 6 decimal places? -0.000091 What is -0.003163687 rounded to 3 dps? -0.003 What is 0.0003988261 rounded to seven dps? 0.0003988 Round -0.364221 to two dps. -0.36 What is -1.335541 rounded to one dp? -1.3 Round -11065200 to the nearest one hundred thousand. -11100000 Round 0.00001915345 to seven decimal places. 0.0000192 What is 0.1643146 rounded to three decimal places? 0.164 Round 31.5166 to 1 dp. 31.5 Round -695079 to the nearest one thousand. -695000 What is 0.0000322047 rounded to six dps? 0.000032 What is -0.0000538322 rounded to 7 dps? -0.0000538 Round -4556108 to the nearest ten thousand. -4560000 What is 38.8537 rounded to 2 dps? 38.85 What is -0.00000041562 rounded to 7 decimal places? -0.0000004 Round 0.000010836179 to 6 dps. 0.000011 What is -52482970 rounded to the nearest one hundred thousand? -52500000 Round -12.375234 to 3 dps. -12.375 What is -0.6390152 rounded to three dps? -0.639 What is 0.001419426 rounded to four dps? 0.0014 What is -0.0000008452603 rounded to 7 decimal places? -0.0000008 Round -0.02286759 to 3 dps. -0.023 What is -0.01303519 rounded to four dps? -0.013 Round 125.9463 to one dp. 125.9 What is 28412000 rounded to the nearest 100000? 28400000 What is 282.4881 rounded to the nearest 100? 300 What is -18991397 rounded to the nearest 100000? -19000000 What is -5042597 rounded to the nearest 100000? -5000000 What is -356.732 rounded to 0 dps? -357 Round 18.189142 to the nearest integer. 18 What is -0.002159003 rounded to five decimal places? -0.00216 What is 106178.3 rounded to the nearest ten thousand? 110000 Round 0.776652 to 1 decimal place. 0.8 Round -0.00305733 to five decimal places. -0.00306 Round 398287 to the nearest one hundred thousand. 400000 What is 3.19786 rounded to one decimal place? 3.2 Round -7243204000 to the nearest one million. -7243000000 What is -0.05803129 rounded to one decimal place? -0.1 Round -0.000252304 to six decimal places. -0.000252 Round -0.07847459 to 2 decimal places. -0.08 Round -96201.7 to the nearest 1000. -96000 What is -17.896 rounded to the nearest 10? -20 Round 0.00387832 to 2 dps. 0 Round 0.000217826 to 5 decimal places. 0.00022 Round 344.754 to the nearest ten. 340 What is -615070200 rounded to the nearest 100000? -615100000 What is 2.32053 rounded to two decimal places? 2.32 Round -0.006403726 to four decimal places. -0.0064 Round 9944203.6 to the nearest 1000. 9944000 Round 0.00085368984 to five decimal places. 0.00085 Round 0.03800498 to three dps. 0.038 What is -0.0006972963 rounded to seven decimal places? -0.0006973 Round -22.51473 to 2 decimal places. -22.51 What is -2130478 rounded to the nearest 10000? -2130000 What is -0.00499567 rounded to four dps? -0.005 What is -5.50532 rounded to two dps? -5.51 Round 2409.2 to the nearest one thousand. 2000 What is -9382.842 rounded to the nearest one hundred? -9400 Round 42.0926 to 1 dp. 42.1 What is 2.37313 rounded to 1 dp? 2.4 Round 3416486 to the nearest 1000000. 3000000 Round -0.00282527 to three dps. -0.003 Round 3919.504 to the nearest 10. 3920 What is 400729 rounded to the nearest 1000000? 0 What is -0.0452618 rounded to 2 dps? -0.05 What is 176.762 rounded to one decimal place? 176.8 Round 0.01295089 to four decimal places. 0.013 What is 0.00080331954 rounded to 5 decimal places? 0.0008 What is 1.368477 rounded t
{ "pile_set_name": "DM Mathematics" }
What is the biggest value in -2/3, -7, 3661, -110? 3661 Which is the second biggest value? (a) 13182 (b) -2 (c) 11.3 c Which is the third biggest value? (a) 145 (b) -1/2 (c) -48142 c What is the third biggest value in -0.1, 3330, 2, 619? 2 Which is the sixth biggest value? (a) 52/33 (b) -1 (c) 4 (d) 1/3 (e) 78 (f) -12/7 f Which is the smallest value? (a) -1457 (b) 5 (c) -2.267 a Which is the fourth smallest value? (a) -2/39 (b) 0 (c) 1/835 (d) -0.1 (e) 0.2 c What is the fourth biggest value in -1/4, -2/5, -7, -23631? -23631 What is the seventh biggest value in 4, 0.1, -2/23, -13, 30, -2, 16567? -13 Which is the second smallest value? (a) -2.7116 (b) -207.47 (c) -3 c Which is the fifth smallest value? (a) -32 (b) -5 (c) -24 (d) 0.7 (e) 6366 e Which is the fourth biggest value? (a) 1 (b) -1 (c) 6 (d) -5 (e) 1346 b What is the smallest value in 1/6, 115.663, 1/78? 1/78 Which is the smallest value? (a) 0.017653 (b) 4/33 (c) -0.2 c What is the second biggest value in -5, -108938963, -0.1? -5 What is the third biggest value in -116.6136, 12, -4? -116.6136 What is the second biggest value in -4, 0, 2, -2/3, 4, 18730? 4 Which is the third smallest value? (a) 2 (b) -20 (c) -5 (d) -8/41 (e) 3 (f) -576 (g) 1/5 c Which is the third biggest value? (a) -0.5 (b) 0.71 (c) -0.2 (d) -903 (e) 0.3 (f) 3/4 e Which is the third smallest value? (a) -0.8 (b) -8/15 (c) 4/17 (d) 0.4 (e) -6/11 (f) -3 (g) 2/3 e What is the fifth biggest value in -63, 2/33, 5, -1/5, 1? -63 What is the second biggest value in -0.8, -6, -8, 2/53, 0.12, 0? 2/53 Which is the second biggest value? (a) 1/20 (b) 17 (c) -1 (d) 3283 b What is the third smallest value in -0.3, -2/11, -1/9, 0.4, -6458? -2/11 What is the second smallest value in -2/211, -566, -29? -29 Which is the third biggest value? (a) 466/5 (b) 1/8 (c) -2 (d) 0.12 (e) 2 b What is the fifth biggest value in 5, -5, -1, -74, 3/14, -97, -2? -5 Which is the biggest value? (a) -5 (b) 25238 (c) -2/43 b Which is the biggest value? (a) -9 (b) -0.01 (c) 4 (d) 788 (e) -0.4 (f) 5 (g) -1 d Which is the second biggest value? (a) -249 (b) 1195440 (c) -2 c What is the biggest value in 16694, 4, -5, 19, -1/19? 16694 Which is the third smallest value? (a) -1/3 (b) -59 (c) -0.3 (d) 27876 c What is the fourth biggest value in -4, -2486, -0.11, 0? -2486 What is the second smallest value in 68159/6, -4, 118? 118 What is the sixth smallest value in -86, 0.5, -2/131, 5, -0.5, -4, 1/281? 0.5 What is the biggest value in -0.01, 17, -181, -0.136, -4, -0.5, 0.4? 17 Which is the fourth smallest value? (a) 0.1 (b) -0.2 (c) 0.31 (d) 0.2 (e) 1259 (f) 4/5 c Which is the smallest value? (a) 1/3 (b) 0.263 (c) 0.05 (d) 11968 c What is the sixth smallest value in 0.2, -0.4, -5, 1/120, 237, 411? 411 Which is the second smallest value? (a) 0 (b) 0.548 (c) 3 (d) -6/53 (e) 0.05 (f) -3 d Which is the third biggest value? (a) 807/10 (b) -10 (c) 0.4 (d) -4 (e) -3/40 e What is the fifth biggest value in 1/8, 48, 0.09, 4, 1, 119, -4? 1/8 Which is the fifth smallest value? (a) 4 (b) 1 (c) -7536/11 (d) 1/5 (e) -0.03 (f) 5 (g) 2/13 b Which is the fifth smallest value? (a) -1/6 (b) -0.07 (c) -0.1 (d) 0.4 (e) -234417 d Which is the second biggest value? (a) 5 (b) -5 (c) 2.49 (d) -13 (e) 6 a Which is the fourth biggest value? (a) -0.04017 (b) -7/6 (c) -51 (d) 5 (e) 2/3 (f) 1/3 (g) -1 a Which is the sixth smallest value? (a) -4 (b) 1/4 (c) 3 (d) 1 (e) -3/2 (f) -23 (g) 5/88 d Which is the second biggest value? (a) 0.2 (b) -1/6 (c) -289 (d) 695 (e) 11 e What is the fourth smallest value in 0, -1/8, 584, -0.2, -2.4, -1/17, -2/7? -1/8 What is the second biggest value in -44, 0, 1681? 0 Which is the fourth biggest value? (a) 5 (b) -300.8 (c) -0.1 (d) -1/42 (e) 2 c Which is the biggest value? (a) 5 (b) 1181 (c) -2 (d) 1/5 (e) -18 b What is the fourth biggest value in 0.1, 2/19, -1, -104750, 0.064? -1 Which is the third biggest value? (a) -25/2 (b) -0.04 (c) 6 (d) -12913 a What is the fifth smallest value in -12, 8/1425, 5, 0.7, -4/7, 1? 1 What is the second smallest value in 0.2, -3, 2.9, 0, -5.2, 6, 25? -3 Which is the third smallest value? (a) 2683963 (b) 16 (c) -0.3 a Which is the third biggest value? (a) -1/5 (b) 2085 (c) -5.96 c What is the third biggest value in -1, 1605017, 2? -1 What is the fifth biggest value in 8, -1/4, 2/3, 4/7, 4319348? -1/4 What is the smallest value in -3, 1093, -3/2, -0.2, -10/27, 3? -3 Which is the fifth biggest value? (a) -2 (b) 2 (c) 0.06 (d) -1 (e) -3 (f) 2/9 (g) -0.2414 d Which is the smallest value? (a) 1/3 (b) -6/7 (c) -1/9 (d) 7/27 (e) -26 e Which is the biggest value? (a) 76 (b) -1/113 (c) -0.3 (d) -2/3 (e) 11 (f) -3 a Which is the third biggest value? (a) 0.089 (b) 1/2 (c) -1 (d) -0.5 (e) -1/6 (f) 0.4 a Which is the fifth smallest value? (a) -1/5 (b) 1 (c) -3/11 (d) 773 (e) 8 d What is the third smallest value in 91, -1/2, 24.192? 91 Which is the second smallest value? (a) -11.88 (b) 5 (c) 249 (d) -4 (e) 19/3 d What is the biggest value in -2/19, -0.062, 1/38, 8267, 2? 8267 What is the second biggest value in 3, 59.1969, -1? 3 Which is the third smallest value? (a) -0.1 (b) 2 (c) 6 (d) -29 (e) 1 (f) 86 (g) -25 a Which is the second smallest value? (a) 1 (b) -2 (c) 10362 (d) 2 (e) -66 b Which is the fourth smallest value? (a) 11 (b) 3/11 (c) 2/7 (d) -429 (e) 1 (f) -75 c Which is the third biggest value? (a) 4 (b) 1/1961 (c) -2/11 (d) 2 b What is the fifth biggest value in 12, 241, -0.06, 129, 0.5? -0.06 What is the smallest value in 1857, -4, -2.5, 0.1, 0.2? -4 Which is the fifth biggest value? (a) -8 (b) 0.5 (c) 4/3 (d) -2 (e) -0.2 (f) 1 d Which is the fourth biggest value? (a) 5 (b) -0.108753 (c) -0.5 (d) 2 c Which is the fourth smallest value? (a) 30372 (b) 0.5 (c) 0.009 (d) 0.1 a Which is the third biggest value? (a) 5 (b) -0.3 (c) 2/19 (d) 17 (e) 1.463 (f) 1/3 e Which is the second smallest value? (a) 2/7 (b) 340030 (c) -1071 a Which is the second smallest value? (a) 155 (b) 5 (c) -0.5 (d) 1 d What is the third smallest value in -31, -32, -101/12, -2/21? -101/12 What is the fifth smallest value in -17, 3/7, -3697, 43, -3? 43 What is the second smallest value in -2, -7, -1, -3, 7392? -3 Which is the biggest value? (a) 2 (b) -0.21 (c) -0.015 (d) -3 (e) -12 (f) 12 f What is the fourth biggest value in 0, 1, 1/3, 0.1, -2/2919, -0.09, 9? 0.1 Which is the smallest value? (a) 1 (b) -3/2 (c) -9 (d) 0 (e) -1461 (f) 30 e What is the third smallest value in -2/7, 0.31, -2/9, -6, 9, 3, 42/47? -2/9 What is the fourth biggest value in -15.11, -4/59, -2/7, 15, -3? -3 Which is the smallest value? (a) 2 (b) 14 (c) 5505 (d) -2 (e) 4 d Which is the second smallest value? (a) -9/5 (b) -1056 (c) 96 a What is the third smallest value in -4, -193, -48, -0.3, -1? -4 Which is the second biggest value? (a) -67 (b) 4/9 (c) -9725443 a Which is the third biggest value? (a) -3 (b) -0.11 (c) -4 (d) -323 (e) -5 (f) 0 a What is the biggest value in 1/5, -0.4, 374, -3, 2/13, -0.9? 374 Which is the third smallest value? (a) 3/4 (b) 0.16 (c) 3 (d) -4 (e) 1 (f) 75421 a Which is the sixth biggest value? (a) -38 (b) -3 (c) -14 (d) 11 (e) 1/6 (f) -2/15 (g) -50/11 c What is the seventh biggest value in -0.4, -1/4, -2/13, 2/5, -1, -0.06, -3/224? -1 Which is the second biggest value? (a) -1681170.8 (b) -4 (c) -1/12 b What is the third biggest value in 1330, -6, 11/8? -6 Which is the smallest value? (a) -46.43 (b) -2/101 (c) -1/5 (d) 110 a What is the seventh smallest value in 0.2, -2, -0.1, -6/5, -5057, 104, 0.5? 104 What is the smallest value in 1/3, 230/9, -3, 2, 1? -3 What is the fifth smallest value in 1/5, -0.2, 2, 2.2, 5, -3, 2/361? 2 Which is the fourth biggest value? (a) -132.1 (b) 119 (c) -2/7 (d) -116 a Which is the biggest value? (a) 2/17 (b) 2/3 (c) -0.1 (d) -0.0039 (e) 0.5 (f) -4/225 b What is the sixth smallest value in 0.3, -6, 5, -10, -129, 1? 5 What is the fourth smallest value in -3073, 0, 130/11, -3/5, 4, 5? 4 Which is the fourth biggest value? (a) -102/19 (b) -3
{ "pile_set_name": "DM Mathematics" }
Let b = 2 - 2.1. Let h = -0.2 - b. Let r be 9 + -11 - 8/(-6). Sort -4, h, r in increasing order. -4, r, h Let z be 22/(-77) - 2/7. Sort z, 3, -1. -1, z, 3 Suppose -5*f - 5 = -5*u - 15, 3*f = -3*u + 12. Let q = -3.87 - -3.67. Sort u, 0.3, q in descending order. u, 0.3, q Let p be 22/(-5) - (-18)/(-30). Let j(b) = -b**3 - 2*b**2 - b - 1. Let x be j(-2). Put p, x, -4 in increasing order. p, -4, x Let g = -7.7 - -3.7. Let f = -4 - -9. Let j = g + f. Sort 2, -3, j. -3, j, 2 Let s = 28.4 + -28. Sort 2, -3, s. -3, s, 2 Let c(m) = 2*m**2 - m - 2. Let d be c(2). Let h = -9 + d. Put 5, -3, h in ascending order. h, -3, 5 Suppose -l = -4*t + l - 14, -3 = -3*l. Suppose 0 = -u - 8 + 10. Sort -5, u, t in ascending order. -5, t, u Suppose 0*b - b - 2*v + 12 = 0, -v = -3*b + 8. Put b, -2, 2, -3 in increasing order. -3, -2, 2, b Let n = 0.32 - 0.02. Let h = 1 - 0.5. Let k = -0.4 - 1.6. Put k, n, h in ascending order. k, n, h Let k = 12 + -7. Suppose k*g - 16 = -1. Let t = 1 - 1.3. Sort g, t, 2/3 in ascending order. t, 2/3, g Let r be 3/9 - 25/(-15). Let b(o) = -4*o**2 + 2*o - 1. Let t be b(1). Sort t, r, -2. t, -2, r Suppose 8 = -4*j + 2*j. Sort 4, j, -2 in ascending order. j, -2, 4 Let l(z) = 2*z**2 - 4*z + 2. Let m(x) = x**3 - 6*x**2 + x - 4. Let d be m(6). Let g be l(d). Sort -5, 4, g in decreasing order. 4, g, -5 Let d = 6 + -3. Suppose d*o - 2 = 2*o. Sort o, 1, -0.1. -0.1, 1, o Let y = 72 - 214/3. Let j = 1/3 - 5/6. Let c = -0.1 - 0.3. Put c, j, y in decreasing order. y, c, j Suppose 2*k - 2*p + 18 = 0, p + 2 = -3*k - p. Let v be (3 + -1)*(-2)/4. Put k, v, 2 in ascending order. k, v, 2 Suppose 25*m = 20*m + 20. Suppose -3*w = -3*p + 5*p - 8, w = 5*p - 20. Let h be (15/(-6) - -2)*p. Sort m, 1, h. h, 1, m Suppose 20 = -2*h - 5*d, 4*d = h - d - 5. Let u = -11/30 - -8/15. Put 2/5, h, u in ascending order. h, u, 2/5 Suppose -3*h + 3*w - 24 = h, -3*h + 3*w - 21 = 0. Sort h, 5, 0. h, 0, 5 Let l = 2 - 3. Let x = 0.37 + -2.37. Let m = l - x. Sort 2/15, 5, m in decreasing order. 5, m, 2/15 Let r(q) = q**3 + 3*q**2 + 6*q + 5. Let k be r(-2). Sort 8, k, 2. k, 2, 8 Suppose 0 = -5*q - j + 149, -q - 2*j = -2*q + 21. Let k = q - 40. Let a be k/(-76) + (-3)/12. Put 1, a, -2 in decreasing order. 1, a, -2 Let r(u) = -u**2 + 8*u - 7. Let x be r(6). Suppose 2*o + x*p = 54 + 9, 0 = -5*o - p + 169. Let c be 8/4 - 72/o. Sort c, 0.1, 0.5 in descending order. 0.5, 0.1, c Let y = 52 + -47. Suppose 0*x = 2*x - 6. Sort -3, y, x in descending order. y, x, -3 Let v(d) = -d**3 - 4*d**2 - 2*d - 4. Suppose 5*x + 5 = -5*o, 4*o - 7*o = 5*x + 11. Let y be v(x). Sort 1, y, -4 in increasing order. -4, 1, y Let u be (-7)/(-7) + 3*-1. Sort -3, 0, u. -3, u, 0 Let l be 8/(-3) + (-2)/(-3). Let z be l + 1/1*2. Suppose -10 = x - 8. Put z, 5, x in ascending order. x, z, 5 Let t = -1228/99 + 110/9. Let h(y) be the third derivative of -y**6/120 + y**5/20 + y**4/4 - y**3/2 + y**2. Let j be h(4). Put j, t, -4 in descending order. j, t, -4 Let h be ((-1)/3)/((-12)/(-36)). Sort h, 2, -2. -2, h, 2 Suppose 0 = -2*t + t - 5. Let d = -196 + 192. Put d, 1, t in decreasing order. 1, d, t Let b = -51224 - -13523033/264. Let f = b + 1/66. Let r be -1 + 0/(-1 - -3). Put 2/19, r, f in decreasing order. 2/19, f, r Let k = -2.2 - -3. Let o = k - 0.6. Let d = 0.02 + -4.02. Put d, 2/7, o in ascending order. d, o, 2/7 Let h(w) = -2*w**2 + 3*w - 1. Suppose -5*x - 1 = -11. Let u be h(x). Put -5, 2, u in ascending order. -5, u, 2 Let j be (-1)/(-8)*(0 - 2). Put -1, -2, j in descending order. j, -1, -2 Let y = 3 - 3. Let k be y + (-1 - 0) + -1. Let d = -8 - -11. Sort k, d, 4/5. k, 4/5, d Let j(x) = 3*x + 2. Let k be j(1). Let m(f) = f - 7. Let b(q) = -q + 7. Let a(d) = 5*b(d) + 6*m(d). Let c be a(k). Put 0, 3, c in ascending order. c, 0, 3 Suppose -9*x = -8*x. Suppose 0 = -2*w - u - 6, 0 = 3*w + 3*u - x*u + 9. Put w, -1, -4 in ascending order. -4, w, -1 Suppose 7 = -11*l + 4*l. Sort -11, 3, -5, l. -11, -5, l, 3 Let i = -2 + 0.5. Let k = -2 - i. Sort 3/7, k, 1/4. k, 1/4, 3/7 Let n = -2 + 2. Let z(a) = -a. Let w(i) = i + 1. Let r(m) = -5*w(m) - 4*z(m). Let t be r(-4). Put -4, t, n in descending order. n, t, -4 Let l be -1 - 1/(-5)*7. Let r = 2 - 1. Let s = -0.8 + r. Put s, l, 1 in ascending order. s, l, 1 Suppose -2*h - q = -1, -3*h - 2*h + 1 = q. Sort h, 4, -5. -5, h, 4 Let s = -1 + 1. Sort 3, -3, s, 17 in increasing order. -3, s, 3, 17 Let z(q) = q**2 - 7*q + 6. Let t be z(6). Sort 2, t, -2 in ascending order. -2, t, 2 Suppose -24*y + 27*y - 12 = 0. Put 2, y, -4 in increasing order. -4, 2, y Let q = -65 + 65. Let k = 3 - 5. Let o = -1 - k. Put o, q, 2 in descending order. 2, o, q Let x be 3 - (-5 - 4/(-1)). Put x, -4, -5, -12 in descending order. x, -4, -5, -12 Let v(m) = m**3 - 7*m**2 - m + 6. Let u be v(7). Let o be (-1)/(2/(u + -1)). Sort o, -4, 0. -4, 0, o Let t = 0.4 - 0.6. Let c = 106 - 110. Let n = 4 + -6. Sort n, c, t. c, n, t Let f = 43 - 48. Let i = -2 - 0. Put i, 2/3, f in ascending order. f, i, 2/3 Let i = -1.8 + 2.2. Put -1, -2, i, -3 in decreasing order. i, -1, -2, -3 Suppose -x - 4*x + 3*m = 66, -4*x - 58 = -5*m. Let d be ((-1)/3)/(2/x). Let c = 9 - 9. Sort d, c, -5 in decreasing order. d, c, -5 Let j be 0/((-4)/(-4) + 1). Sort -0.3, j, 6. -0.3, j, 6 Let v = 0.4 - 0.6. Put v, 1/8, -4 in decreasing order. 1/8, v, -4 Let g = 11.3 + -12. Let b = 2.3 - g. Put -3/5, -2/9, b in descending order. b, -2/9, -3/5 Let q(u) = 2*u**2 + u - 4. Let v be q(-2). Sort -3, v, 0 in increasing order. -3, 0, v Let z = 91 + -95. Suppose 0*k + 2*k = 2. Put k, z, -3 in decreasing order. k, -3, z Let f = 1 + -1.1. Put 3, f, 0.2, -3/2 in increasing order. -3/2, f, 0.2, 3 Let i be (2/(-14)*1)/(-1). Let o = 20.5 - -3.5. Let v = o - 24.2. Sort i, -0.5, v in descending order. i, v, -0.5 Let b = -97 - -1065/11. Put 2/11, -2, 5, b in decreasing order. 5, 2/11, b, -2 Let l = 0.28 - -0.02. Let w(n) = -n**2 - n - 1. Let k be w(-2). Let i be 3/4 + k/(-12). Sort i, l, 4 in ascending order. l, i, 4 Let i = -0.1 - 0.1. Let o = 0.5 + i. Let l = 1816/7 - 260. Sort -5, l, o in increasing order. -5, l, o Let s(k) = k + 3. Let z be s(-3). Let x(u) = -3*u + 2. Let n be x(-2). Suppose z*g = -4*g + n. Sort -4, g, -1 in ascending order. -4, -1, g Suppose -2 = -3*i - i + 2*v, -5*i = -4*v - 4. Let g = i + 5. Put 1, g, -5 in increasing order. -5, 1, g Let i(a) = 0*a**2 - a**2 - 11*a + 3*a - 7. Suppose -4*d = -9*d - 35. Let y be i(d). Put y, -3, -4 in decreasing order. y, -3, -4 Let m = -6 + 9. Let u = -6/19 + 68/95. Let z be (2/15)/(14/(-10)). Put m, u, z in decreasing order. m, u, z Suppose v + 4*l = 3*v - 12, -3*l - 14 = -4*v. Let o = 4 - -4. Let d be (1/(-2))/(v/o). Sort 4, d, 1 in decreasing order. 4, 1, d Let p = -10 - -7. Sort p, -4/3, 4 in ascending order. p, -4/3, 4 Let y = 0 + -2. Let r = 3.5 + -23.5. Let d = r - -23. Sort d, y, 1 in decreasing order. d, 1, y Suppose -o = -2*u + 9 - 3, 5*u + 3*o - 37 = 0. Let w = 0 - u. Put -3/5, 0, w in decreasing order. 0, -3/5, w Let b(c) = c + 11. Let r be b(-8). Suppose -a = -0 - 3. Suppose a*p - 12 = 7*p. Sort r, p, 0 in decreasing order. r, 0, p Let f = 9 - 5. Let w = f + -4. Put -3, 2, w in decreasing order. 2, w, -3 Suppose 4 = -5*v + 19. Sort v, -1/2, -1/5 in descending order. v, -1/5, -1/2 Let f be 2/(-4) + 5/2. Suppose f*c - 4 = -0*c. Let y(u) = 4*u - 1. Let p be y(1). Sort c, -4, p. -4, c, p Suppose -5*b = 5*a - 10 - 0, -5*b = 3*a - 14. Let u = 1 + b. Let x(o) = -3*o - 25. Let s be x(-8). Put u, s, 4 in increasing order. s, 4, u Let p be (-16)/(-4)*(-10)/8. Let y = 5 + -4.8. Sort p, 4, y in ascending order. p, y, 4 Let k be (-12 - -7)/(0 - -1). Let u = 3 + -2.9. Put u, 2, k in ascending order. k, u, 2 Let l = -3/98 - 163/1078. Put 5, 3, l in increasing order. l, 3, 5 Let y = -28 - -24. Put 0, y, -2 in increasing order. y, -2, 0 Let t = 8 - 5. Let f(i) = -5 + i - 1 + i**t + 0 - 6*i**2. Let u be f(6). Put -1, -2, u in decreasing order. u, -1, -2 Let h(l) = l**2 + l - 2. Let s(k) = -k**3 - 2*k**2 - 3*k + 5. Let f(q) = -5*h(q) - 2*s(q). Let c be f(1). Suppose -g = c*g. Put 5, g, -1 in decreasing order. 5, g, -1 Let n = 0.044 + 0.056. Let q = -0.11 - -4.11. Put -4/7, q, n in increasing order. -4/7, n, q Let d(f) = -f**2 - 6*f + 6. Let x be d(-7). Let s be x/(-2) + 54/(-12). Put 0, s, -5 in ascending order. -
{ "pile_set_name": "DM Mathematics" }
-0.039? 1 Which is the nearest to -8? (a) -13 (b) -2/3 (c) -2/9 a What is the nearest to 1/5 in 0.04, -1.1, -2? 0.04 What is the closest to -1/9 in -0.2, -10, 1, 0.2? -0.2 What is the closest to 2/5 in 3, 17, 2/7? 2/7 Which is the closest to -1? (a) 0.1 (b) 41/19 (c) 4 a Which is the closest to -1/4? (a) 0 (b) 1/2 (c) 0.11 (d) 5 a What is the nearest to 1/4 in -117, 1, -12? 1 Which is the closest to -1? (a) 4 (b) 5 (c) 3/17 c What is the closest to 2 in 0.5, 11, -3, -1? 0.5 What is the closest to -0.1 in -0.2, -0.5, 33, -0.1? -0.1 What is the nearest to -2 in -1/9, 4, -84? -1/9 Which is the closest to -1? (a) 5 (b) -14 (c) 38/3 (d) -3 d What is the nearest to -0.1 in 3, 64, 25? 3 What is the nearest to -0.016 in 2/7, 0.4, 0? 0 What is the closest to 62/9 in 0.3, -2, 5/3? 5/3 Which is the nearest to 2/7? (a) -0.1 (b) -0.4 (c) 262 a Which is the nearest to 1/4? (a) 2/17 (b) -2 (c) 0.2 (d) 0.4 c What is the nearest to 2/7 in -3, 3, -1/3, 0.12? 0.12 Which is the nearest to -24? (a) -2 (b) 3 (c) -1/4 (d) 0.4 a Which is the closest to 0.07? (a) 2 (b) -1/2 (c) -4 (d) 1 b Which is the nearest to 0? (a) 0.2 (b) -1.7 (c) -5 a Which is the nearest to 1? (a) 5/2 (b) 3 (c) -1/18 c Which is the closest to -214? (a) 2/19 (b) -0.3 (c) 5 (d) 1 b Which is the closest to -6? (a) -4 (b) 1/8 (c) 4/3 (d) 9 a What is the closest to 0 in 3, 0, -0.5? 0 Which is the nearest to -2? (a) 2/23 (b) -2/7 (c) 1 b What is the closest to -1.5 in -0.5, 5, -7, 1/2? -0.5 Which is the closest to -2/5? (a) -14 (b) 0.2 (c) -6/7 c Which is the closest to -3/5? (a) 2/3 (b) 1/2 (c) 0.18 c What is the closest to -1 in 1.1, -1, 1, 5? -1 What is the nearest to -2/3 in 0.1, -1, -0.4, 1/6? -0.4 Which is the nearest to -11? (a) -3 (b) 0.4 (c) -2/3 (d) 5 a Which is the closest to -1? (a) 0.5 (b) 3 (c) -160/7 a Which is the nearest to -179/5? (a) -1 (b) -3 (c) 0.3 b What is the closest to -3 in -1/4, 2, 0.2, 3? -1/4 Which is the nearest to -3/5? (a) 3 (b) 0.2 (c) 41 b What is the nearest to -0.2 in 3, -0.7, -5, 0? 0 Which is the nearest to -7? (a) 1/3 (b) 4/3 (c) 1/7 c What is the closest to 0.01 in 1, -2/35, -0.5? -2/35 Which is the nearest to -2? (a) -3 (b) -0.095 (c) 7 a What is the nearest to -1/3 in 3, -5, -0.5, 5? -0.5 Which is the nearest to 0? (a) -25 (b) 14 (c) 3 (d) 4 c What is the nearest to 1 in -5, 8, -1/17? -1/17 What is the closest to 0.2 in 3, 2, -2/21, 4? -2/21 Which is the closest to 2/5? (a) 5 (b) 1/3 (c) 1 (d) -1 b Which is the nearest to 18? (a) 2 (b) 3 (c) 0.4 (d) 3/4 b Which is the nearest to -2? (a) -0.2 (b) 1 (c) 0.1 a What is the closest to 1/3 in -2, -0.1, 1, 4/3? -0.1 Which is the nearest to 0.1? (a) -5 (b) 1/2 (c) -0.1 c Which is the nearest to -10? (a) -0.2 (b) -2/7 (c) -123 b Which is the nearest to -1/4? (a) -2/15 (b) -18 (c) 0.34 a Which is the closest to 3? (a) -0.2 (b) -5 (c) -1/89 c What is the closest to 17 in 4, -2/5, -3/5? 4 Which is the nearest to -3/4? (a) 0.5 (b) 0 (c) -1 (d) -1/4 c What is the nearest to 4 in 0, 2, 27, -0.5? 2 Which is the nearest to 16? (a) -1.7 (b) 0.05 (c) -2/5 b Which is the nearest to -9? (a) 7/2 (b) 9 (c) -0.4 (d) 2 c Which is the nearest to -1? (a) 3 (b) -3/17 (c) 4 (d) -2/7 d Which is the closest to -2/7? (a) -0.1 (b) -1/6 (c) -4/25 b Which is the closest to 7/4? (a) -0.05 (b) -1/8 (c) 3/8 (d) -1 c Which is the closest to 2? (a) 2/13 (b) 0.1 (c) -0.14 a Which is the closest to 1/6? (a) 0.5 (b) -2 (c) -0.5 (d) -4 a What is the closest to -7 in 0, 0.03, 3, -3? -3 What is the closest to -1 in 13, -5, 0.8, -9? 0.8 What is the closest to 1 in -0.2, -158, -1/3? -0.2 Which is the closest to -19? (a) 0.9 (b) 4 (c) -0.3 (d) -5 d Which is the closest to 1? (a) -5 (b) 1 (c) -2/15 (d) 3 b What is the closest to -13 in 3, -4, -1/5? -4 Which is the closest to -2? (a) -0.13 (b) 1 (c) -5/6 c What is the closest to 24/11 in -3, -2, 0.5, -1/2? 0.5 Which is the closest to 2? (a) 2/13 (b) 1 (c) -1/12 b Which is the closest to -2/3? (a) -5 (b) 9/4 (c) -1 c What is the closest to 2 in 0.1, -2, -6, 4? 0.1 Which is the nearest to -88? (a) 5 (b) -0.5 (c) 4 (d) 0.1 b What is the nearest to 2/9 in 5, 1/3, 0.42? 1/3 Which is the nearest to 0.005? (a) -5 (b) 1 (c) 3 b Which is the closest to 1? (a) 0.3 (b) 3 (c) 0.7 (d) 1/2 c Which is the closest to 3? (a) 0 (b) -1 (c) -3 a What is the closest to 2/5 in -2/25, -0.2, 6/7, -2? 6/7 Which is the nearest to 1/2? (a) 4 (b) 8 (c) 0.3 (d) -2 c What is the closest to -1 in -2/7, 0, 12476, 5? -2/7 Which is the closest to -1? (a) 6 (b) -12/11 (c) 2 b Which is the nearest to 1? (a) -0.1 (b) 2/7 (c) 9/20 c What is the closest to -0.1 in 13/3, -3, 0.3, 0? 0 What is the closest to 5/3 in -22, -1/8, 0.3? 0.3 Which is the nearest to 0? (a) 5 (b) 8/15 (c) -0.5 (d) 124 c What is the closest to 2 in 1/5, 8, -1? 1/5 Which is the closest to -6? (a) -1/6 (b) 0.1 (c) -1 (d) 0.2 c What is the nearest to 0 in 3, -0.5, -2685? -0.5 What is the closest to 98 in 0, 2/5, 4? 4 Which is the closest to -1? (a) 2 (b) -21 (c) -2 c Which is the nearest to 1/5? (a) 2 (b) -29/2 (c) -4 a Which is the closest to -2? (a) -1/5 (b) -0.06 (c) 0.3 (d) -2/13 a Which is the closest to -1? (a) -0.2 (b) -1/2 (c) 4/5 (d) -17/2 b Which is the closest to 1/5? (a) 4/9 (b) 0.03 (c) 1 b Which is the nearest to -1? (a) -570 (b) 5 (c) 0.4 c What is the nearest to -8 in -0.1, -1, -2/13? -1 Which is the nearest to -1/4? (a) -6/7 (b) -0.03 (c) 3 b Which is the closest to -4/3? (a) -0.4 (b) 2/3 (c) 2/49 (d) -3 a What is the closest to 3 in 1/7, -2, 3, 5? 3 What is the nearest to 0.1 in 2/7, 2, -2.9? 2/7 Which is the closest to -12? (a) 3 (b) -1 (c) 2/11 (d) 2/5 b Which is the closest to 0.3? (a) -4 (b) -1 (c) -170 (d) -1/2 d Which is the nearest to 6/7? (a) 0.5 (b) 0 (c) 1 (d) 2/9 c Which is the closest to 0.3? (a) 0.5 (b) 1 (c) 2/17 (d) 9 c What is the nearest to -0.11 in -2, -0.17, 4? -0.17 What is the nearest to -1/4 in 2, -0.2, -1? -0.2 What is the nearest to 2 in 48, -1/5, -1, 0? 0 What is the nearest to -0.1 in 11/4, -0.1, 3, -5? -0.1 What is the nearest to -1/11 in 24, -4/5, -0.7? -0.7 What is the closest to 1/5 in -4/5, -73, 0.5? 0.5 Which is the nearest to 0.03? (a) -1 (b) 2 (c) -2/1185 c Which is the nearest to 1/4? (a) -0.4 (b) -617 (c) 4 a What is the closest to 9 in 0.14, -0.5, -5? 0.14 What is the closest to 2/7 in -0.17, 0, -15? 0 Which is the nearest to 1/16? (a) 3 (b) -1/12 (c) -4 b Which is the nearest to -1/2? (a) -0.5 (b) -11/76 (c) -5 a Which is the nearest to -2.3? (a) -3 (b) 3 (c) 7 (d) -0.3 a What is the nearest to 1 in 0.5, 0.2, 14, -1? 0.5 Which is the nearest to -0.1? (a) 1 (b) 0.1 (c) -4.2 (d) -1 b Which is the closest to -2/5? (a) 0.4 (b) -1/47 (c) -5/3 b Which is the closest to -2/3? (a) -7 (b) 0.1 (c) 0.08 c Which is the nearest to -33? (a) -5 (b) 5 (c) -3 a What is the closest to 0.4 in 14, -1/17, 3? -1/17 Which is the closest to 3? (a) -0.5 (b) -5 (c) -1 a Which is the closest to -11/5? (a) -1 (b) -4 (c) -8/11 (d) 1/6 a Which is the nearest to -3/2? (a) 0.2 (b) -0.2 (c) 5 b Which is the nearest to 6.1? (a) -2/3 (b) 4 (c) -6 (d) -4 b Which is the closest to 1? (a) 1 (b) 711 (c) 4 a Which is the nearest to -0.2? (a) 3/2 (b) 4 (c) 2/3 (d) 13.9 c What is the nearest to 0 in 41, 9, -1? -1 What is the closest to 0.1 in -2/43, -5, 0.4, 0? 0 Which is the nearest to -1/4? (a) 3/5 (b) -2.8 (c) 1 (d) 2 a What is the closest to 1 in 0.3, 11, 1/7? 0.3 Which is the closest to 1/2? (a) 0.16 (b) 42 (c) -1 a Which is the closest to 6/19? (a) -0.1 (b) 1 (c) 0.5 (d) -1/9 c Which is the closest to 0.9? (a) -3 (b) 2/3 (c) -48 b What is the closest to 1 in 1, -18, 0.5, 0? 1 What is the closest to -1 in 1/2, -238, 1? 1/2 What is the nearest to 19 in -0.5, -2, -7/4? -0.5 What is the closest to -3/43 in 18/13, 0.1, 5? 0.1 Which is the closest to -3? (a) -4 (b) -0.1 (c) 0.03 (d) -3/2 a Which is the closest to 0.2? (a) 19.22 (b) -0.4 (c) -0.1 c Which is the nearest to -0.2? (a) 3 (b) 2 (c) 0.3 (d) -32 c What is the closest to 0 in 37, -0.1, -3, 5? -0.1 What is the
{ "pile_set_name": "DM Mathematics" }
d by -35? -1006/5 4204840 divided by -840968 -5 What is 1341280 divided by 8080? 166 Calculate 9325 divided by -5. -1865 What is 1420078 divided by 187? 7594 What is -1 divided by 1794? -1/1794 What is 7610 divided by -10? -761 Divide 8246 by -31. -266 Divide -82 by 2033. -82/2033 Divide -42093 by 2. -42093/2 666 divided by 4995 2/15 3362 divided by 256 1681/128 Divide 832824 by -6. -138804 55120 divided by 530 104 Calculate 21533 divided by -63. -21533/63 -561 divided by 956 -561/956 Calculate -2302194 divided by 22794. -101 Divide -2 by -38201. 2/38201 Divide 565182 by -17. -33246 Calculate 34020 divided by -54. -630 Calculate 743299 divided by -71. -10469 What is -31 divided by -727? 31/727 Divide 31 by -8238. -31/8238 Calculate 125136 divided by -21. -41712/7 217899 divided by 71 3069 Calculate -26315 divided by -26315. 1 What is -33342 divided by 24? -5557/4 Divide 52 by 1184. 13/296 What is 284 divided by -5106? -142/2553 168920 divided by -206 -820 What is 2 divided by -100? -1/50 What is 21656 divided by -1? -21656 What is -124 divided by 269? -124/269 Divide -134764 by 2. -67382 Calculate 17407 divided by 103. 169 Divide 1456000 by -5. -291200 Divide 1634399 by 6617. 247 69953 divided by -6 -69953/6 Calculate -2 divided by 75326. -1/37663 5 divided by 15663 5/15663 -1 divided by -274323 1/274323 Calculate 0 divided by -1161045. 0 -218120 divided by -40 5453 522580 divided by -340 -1537 -4658640 divided by -1164660 4 What is -385930 divided by 5? -77186 1 divided by 12129 1/12129 249579 divided by -11 -22689 -22950 divided by -54 425 What is -36 divided by 7085? -36/7085 Calculate 0 divided by 11167. 0 Calculate 3 divided by 107228. 3/107228 What is 30064 divided by 42? 15032/21 What is -553615 divided by 2105? -263 What is 153326 divided by -62? -2473 What is 334143 divided by -137? -2439 -980 divided by 23 -980/23 What is -55194 divided by -27597? 2 Divide -1 by 2833. -1/2833 Divide -496400 by -85. 5840 5489105 divided by 2 5489105/2 -19551 divided by -80 19551/80 Calculate -11 divided by -404. 11/404 What is 7 divided by 9277? 7/9277 Divide 18565 by 47. 395 What is 666 divided by -130? -333/65 Calculate 2986013 divided by -5. -2986013/5 9548 divided by -341 -28 Calculate 1668814 divided by 2786. 599 What is -120198 divided by 897? -134 What is 714137 divided by -3? -714137/3 What is 237 divided by -630? -79/210 What is -231230 divided by -38? 6085 Divide 88870 by 2. 44435 What is -5228 divided by -1? 5228 What is -315644 divided by 3? -315644/3 -210160 divided by -2627 80 What is -2 divided by -6918? 1/3459 What is -30852 divided by -2? 15426 1338970 divided by -2 -669485 6445665 divided by 5679 1135 Calculate -34716 divided by 3. -11572 What is -16 divided by 868? -4/217 Divide -191705 by -38341. 5 Divide -536154 by -3. 178718 What is 1442145 divided by 15? 96143 Calculate 130 divided by 179. 130/179 436814 divided by 287 1522 Calculate 2414 divided by 91. 2414/91 What is 31532 divided by 7883? 4 Calculate 457090 divided by -228545. -2 Calculate 14 divided by -53446. -7/26723 Divide -3569725 by 713945. -5 62 divided by 3010 31/1505 -322672 divided by 43 -7504 Calculate -156655 divided by 485. -323 Divide 200003 by 6. 200003/6 Divide -63308 by 532. -119 Divide -1048450 by 325. -3226 Divide 305632 by -76408. -4 Divide 79132 by 19783. 4 -1305956 divided by 326489 -4 5 divided by 3916 5/3916 Calculate -1848204 divided by 205356. -9 What is 145485 divided by -53? -2745 -57 divided by 759 -19/253 Divide 33825 by -33825. -1 139244 divided by 1 139244 12 divided by 259 12/259 730752 divided by -243584 -3 What is -354051 divided by -7533? 47 Divide 114 by 37. 114/37 -9640 divided by -8 1205 Calculate -3223272 divided by -247944. 13 What is -21 divided by -42994? 3/6142 What is 0 divided by -695025? 0 Divide -65825 by 65825. -1 Calculate 5006328 divided by 6. 834388 Divide 257 by 192. 257/192 -4255 divided by 21 -4255/21 Calculate 3598866 divided by -17. -211698 Calculate -2388 divided by 2388. -1 Divide -13149 by 27. -487 -367767 divided by -2313 159 What is -2 divided by 108130? -1/54065 Divide 352 by 796. 88/199 Divide -3804 by 242. -1902/121 Divide 4563232 by -4. -1140808 -49 divided by 7293 -49/7293 What is 4000814 divided by -2? -2000407 Divide -705837 by 3. -235279 61642 divided by -1258 -49 Calculate -21209 divided by 65. -21209/65 -174920 divided by 10 -17492 Divide 18942 by -246. -77 What is 44 divided by -10856? -11/2714 -2118540 divided by 1059270 -2 What is 133 divided by -156? -133/156 Calculate 7412 divided by 4. 1853 What is -177946 divided by 386? -461 261120 divided by 160 1632 Calculate 646109 divided by -1. -646109 319236 divided by -106412 -3 30739 divided by -59 -521 -133375 divided by 55 -2425 What is 27990 divided by 5598? 5 What is 180 divided by -1688? -45/422 -33066 divided by 6 -5511 Calculate -2695922 divided by -117214. 23 What is 119 divided by 6250? 119/6250 What is -720812 divided by -31? 23252 -6 divided by -33529 6/33529 Divide 4 by -399709. -4/399709 Calculate -37 divided by -35. 37/35 What is -21489 divided by -7163? 3 5626 divided by -2813 -2 What is 3270242 divided by -3? -3270242/3 0 divided by 26007 0 Calculate 157536 divided by 157536. 1 What is -1 divided by -5501? 1/5501 Divide -18687 by -3. 6229 5289 divided by 3 1763 Divide -123 by -18807. 41/6269 Divide 280860 by -604. -465 Calculate -2605 divided by 1781. -2605/1781 Divide 3 by -10641. -1/3547 -33 divided by -3335 33/3335 74 divided by 3020 37/1510 Calculate -663215 divided by 7. -94745 -725 divided by 411 -725/411 Divide 93 by -8133. -31/2711 What is -456620 divided by 316? -1445 -22613 divided by -22613 1 What is -316 divided by 11? -316/11 Calculate -166960 divided by -10435. 16 What is -322098 divided by -2? 161049 Calculate -4119825 divided by 1373275. -3 What is 52990 divided by 1514? 35 93 divided by -253 -93/253 Calculate -6 divided by 218896. -3/109448 Calculate -14826 divided by -45. 4942/15 Calculate -63530 divided by 10. -6353 Calculate 116684 divided by -1. -116684 What is 35249 divided by 1? 35249 1825488 divided by 456372 4 What is -5 divided by -669? 5/669 What is 5 divided by 29773? 5/29773 Calculate 32640 divided by 102. 320 -380666 divided by -3146 121 What is 0 divided by -4620? 0 Calculate 63509 divided by -63509. -1 What is -2105055 divided by 155? -13581 What is 592613 divided by -7? -84659 Divide -309 by 10. -309/10 -2412394 divided by -3 2412394/3 Divide -4 by 74550. -2/37275 110933 divided by 3 110933/3 Calculate 22516 divided by -1732. -13 Calculate 395 divided by 115. 79/23 Calculate -162 divided by -19. 162/19 2940300 divided by -81675 -36 Divide 58290 by -5829. -10 -1112769 divided by 1 -1112769 Divide 1017900 by -108. -9425 Calculate -82 divided by 6881. -82/6881 -4077 divided by 50 -4077/50 What is 0 divided by 16999? 0 -914960 divided by -182992 5 What is 250648 divided by 19? 13192 Calculate -8241395 divided by -2. 8241395/2 Divide -3145026 by -3. 1048342 873348 divided by 259 3372 1817287 divided by -6 -1817287/6 What is 116370 divided by 2155? 54 What is -5 divided by 46892? -5/46892 Calculate -69 divided by 10244. -69/10244 Divide 380070 by 25338. 15 -14569 divided by 16 -14569/16 23 divided by 4742 23/4742 Divide -24676 by 2. -12338 Divide -53355 by 3. -17785 What is -63 divided by 1183? -9/169 -30087 divided by -2 30087/2 What is 8 divided by 348107? 8/348107 Calculate 688 divided by 84. 172/21 Calculate 36754 divided by -782. -47 Divide -4 by 420573. -4/420573 Divide 408996 by 6. 68166 Calculate 776269 divided by -3679. -211 What is 68721 divided by -25? -68721/25 Divide 179118 by 6. 29853 Divide 87928 by 1516. 58 Calculate -41 divided by -8081. 41/8081 -5773 divided by 1 -5773 Calculate -904386 divided by 2118. -427 1 divided by -174522 -1/174522 What is -20475 divided by 25? -819 409349 divided by 409349 1 Divide 7108 by 24. 1777/6 Divide 102152 by 51076. 2 Calculate 9800 divided by -2450. -4 Divide 102160 by -51080. -2 -5 divided by 2825 -1/565 Divide 29 by -9306. -29/9306 Calculate -66416 divided by -16604. 4 Calculate 0 divided by 42553. 0 0 divided by -138987 0 What is 1065600 divided by -30? -35520 What is 77929 divided by -9? -77929/9 19138 divided by -7 -2734 -7431084 divided by -3 2477028 D
{ "pile_set_name": "DM Mathematics" }
c Let q = -5 - -4.7. Let d = -1.14 + 1.04. Which is the closest to d? (a) q (b) 0 (c) -1/3 b Let l = 32/143531645 - 238196075561549/59135037740. Let d = l - -4028. Let h = d - -841/7004. Which is the closest to -1? (a) 4 (b) 1 (c) h c Let f = -11.6 - -1.6. Let x = f - -19. Let s = 23 - 22. Which is the closest to s? (a) -1/5 (b) x (c) 2 c Let o(j) = 15*j + 6. Let w be o(-2). Let f = w + 26. Let z be (-8)/(-20)*1/f. Which is the closest to 1? (a) z (b) -0.4 (c) -3 a Let h = 0.019 + 8.981. Let q = h - 7. Let d = 0.05 - -0.15. Which is the closest to q? (a) d (b) -2 (c) -1/6 a Let z be ((-2)/(-8))/(3/6). Let g = 0.641 - 0.031. Let m = g - 0.21. Which is the closest to z? (a) m (b) 0 (c) -0.2 a Let k be (4430/220 + -20)/(2*3/(-8)). Let z = 4 - 2. Which is the nearest to -1.5? (a) z (b) 0.2 (c) k c Let u = -45 + -1. Let z = 15 + u. Let w = z - -27. Which is the closest to w? (a) -4 (b) 2/9 (c) 2/7 a Suppose -5*s - 26 = 4*i, 2*i - 5*s - 2 = -0. Let g = -21 + 23. Suppose o + 4 = 0, 0 = -j - o + g - 9. Which is the nearest to 1? (a) i (b) j (c) -1/7 c Let f = -1.13 - 1.17. Let n = f + 0.3. What is the closest to 1 in -6, n, -3/7? -3/7 Let r = -6.5 + 11. Let j = -4.7 + r. Let f = 1065/28 + -151/4. What is the nearest to -2 in -4, f, j? j Let b = -281 - -276. What is the nearest to 2 in b, -0.2, 52? -0.2 Let f = -9 - 3. Let q = -11 - f. What is the nearest to -0.1 in 0.3, -5, q? 0.3 Let j be (-27)/12 - 2/(-1). Let w = -25.1 - -20.1. What is the nearest to j in 2, w, -1? -1 Let v be 7/56*30 + -4. Let r = -0.6 - -1. Which is the closest to 1? (a) r (b) v (c) 0.1 a Let i = 0.4544 - -0.0426. Let j = 0.097 - i. Which is the closest to -1/2? (a) 15 (b) j (c) 3/4 b Let r = -0.24 + 0.34. Let b = -0.3 + r. What is the closest to 0.1 in b, 4, -2? b Let y = 22 - 20. Let s be ((12/(-21))/2)/(8/(-14)). Which is the closest to -0.1? (a) y (b) 2/15 (c) s b Let w = 0.0311 + 0.2689. Which is the nearest to -0.2? (a) w (b) 42 (c) 4 (d) 0 d Suppose 1 = 2*p - 3*i, -8 = -4*p + 2*i + 6. Which is the nearest to 6? (a) 0.3 (b) 2/11 (c) p c Let v = 6 + -5.7. Let d = -0.08373 + 0.09873. Which is the nearest to d? (a) v (b) 3 (c) -1 a Let j = -1.28 - -4.28. Let x = 74.01 + -74. Which is the nearest to 0? (a) j (b) 0.1 (c) x c Let x = 89 + -74. Which is the nearest to -0.2? (a) -5 (b) -0.3 (c) x b Let l = -1230 - -1226. What is the closest to 1/3 in -20, 0.2, l? 0.2 Let u = 0.06 + 0.04. Let y = 1/3 + -7/12. Let r = 974 + -978. Which is the closest to u? (a) r (b) 5 (c) y c Let k(d) = d**3 - 11*d**2 + 5*d + 16. Let r be k(11). Let z = 495/7 - r. Which is the closest to 1? (a) 11 (b) 2 (c) z b Let t = 1 + 0. Let r = -1.37 + 1.334. Let l = r + 1.036. Which is the nearest to l? (a) -2 (b) 1/3 (c) t c Let i = -2 - 3. Suppose -4*z - 4*u + 45 = z, 3*z + 4*u = 27. Let x = z - 37/4. What is the closest to x in -1, 4, i? -1 Let o = 1 + 4. Let a be 0 + -9 + 455/49. What is the nearest to a in 1/5, 1, o? 1/5 Let w = -1.41 - -0.82. Let n = 0.09 + w. Which is the closest to 1/4? (a) 0.3 (b) n (c) -1 a Let k be (3/(-15))/((7 - 6)/(-1)). Which is the closest to k? (a) 4 (b) -0.2 (c) -4 b Let x = -1592.3 + 1592. Let t = -1/20 + 43/60. Which is the nearest to 0? (a) t (b) 0.4 (c) x c Let v = -219 - -222. What is the nearest to -3 in -0.01, v, 4/7? -0.01 Let y = 0.657 - 0.757. Which is the nearest to y? (a) 2 (b) 1/4 (c) -0.5 (d) 0.1 d Let s = 37/9 - 121/36. Let v = -0.11 + 0.41. What is the nearest to 1/11 in s, -5, v? v Let u = 15 + -11. Let m be (-20)/6 + 12/(-18) + 7. Let r = -0.62 - -1.12. Which is the nearest to 1/4? (a) u (b) m (c) r c Let b be (-79)/(-4) + (-9)/(-36). Suppose b = -h - 3*h - 2*v, 5*h = -v - 22. Let g = 1.48 + -0.48. What is the nearest to g in -2, h, 2/9? 2/9 Let n = -0.9 - 0.1. Let h = 5 + n. Let w be 0 + -1 + 8 + (-21 - -12). What is the closest to -1/2 in w, h, 2? w Let o = 0.26 - -1.74. Suppose -8*k - 10 = 14. Let b = -0.1 - -0.1. What is the nearest to -2 in o, b, k? k Let z = 14 - -2. Let h = -17 + z. Suppose 0 = -5*x - 5*o + 4 + 36, -o = 3*x - 16. What is the nearest to x in 0.1, h, 0.3? 0.3 Let k = -11.1 - -7.2. Let l = k + 4. Let x = 0.1 + 3.9. Which is the nearest to 2/5? (a) x (b) -4 (c) l c Let j = -224 - -1563/7. Let k = j + 31/63. Let h = -0.8 + 1. Which is the closest to h? (a) k (b) 5 (c) 0 c Suppose -18*h = 156 - 228. What is the nearest to 2/3 in h, 32/5, 3? 3 Let l = 7/93 + 8/31. Let d = 0.04 - -0.26. Which is the nearest to 0.03? (a) d (b) 1/4 (c) l b Let g = -31.4 + 31.7. What is the nearest to 1 in 9, 2, g? g Let k = 535 + -568. What is the closest to 0 in 1/8, k, -3? 1/8 Let g = -2 + 5. Let z = 6743 + -6743. What is the closest to -2/7 in z, g, 0.3? z Let u be 15 - 18 - (-2 - (4 + -2)). Let i be 3/u + 4*(-5)/(-20). Which is the closest to 0.8? (a) i (b) -1 (c) 2/3 c Let t be ((-4)/(-69))/((-6)/9). Let j = -0.1 + -0.9. What is the closest to 2/3 in 4, j, t? t Let c be 50/(-63) - 19/((-1064)/32). Let u = -0.43 + 0.03. What is the nearest to 0 in u, c, 6/5? c Let j = 109/3 + -37. Let h = -161/2265 + 2/453. What is the nearest to 0 in j, 0, h? 0 Let x = 0.041 + -11.041. Let j = -12 + 16. Which is the closest to 2/3? (a) x (b) j (c) -3/5 c Let u = 235.1 + -235. Which is the closest to u? (a) -15 (b) -2 (c) 3 b Let n = -431.2 - -431. Which is the nearest to 4? (a) 5 (b) 0.1 (c) -3 (d) n a Let h = 308/93 + -20/31. Which is the nearest to -2? (a) -2/9 (b) h (c) 1 a Let q = 8 + -5. Let u be (63 - 69)*1/(-30). Which is the nearest to u? (a) -5 (b) 2/13 (c) q b Let r = -50 - -55. Suppose 3 = 3*y + 2*y + 3*o, y = -r*o - 17. What is the closest to -3 in y, -1/3, -2/7? -1/3 Let l = 1000 + -997. Which is the nearest to -3? (a) 1/4 (b) l (c) 0.1 c Let o be ((-2)/(-4))/(341/124). What is the closest to o in -4, -2/5, 5, -3? -2/5 Let y = 88.3 + -92.3. What is the nearest to 0 in 3/4, -5, 2/11, y? 2/11 Suppose 8 = 11*l - 3. What is the closest to l in -0.23, -0.1, -3? -0.1 Let q = 0.7 + -0.5. Let v = 0.3 + q. Suppose 24*o = 19*o. Which is the nearest to 1? (a) o (b) -4 (c) v c Let h = 111 + -111. What is the closest to h in 3, -0.5, -11? -0.5 Suppose 0 = -4*d + 2*d + 4. Let j be 2*112/(-128) - -1*2. Which is the closest to -1? (a) d (b) -0.2 (c) j b Let t be (-156)/(-104) + 38/(-36). What is the closest to -0.6 in 0.5, -3, -1, t? -1 Let u = 1482 + -1476. Which is the nearest to u? (a) 0.3 (b) 4 (c) -0.2 (d) -6 b Let f be (4 - 43/11)*-1*-2. Let x = -7 + 5. Which is the nearest to x? (a) -5 (b) f (c) 3/13 b Let r = 0.3 - 0.7. Let t = 12 + -11. Let m = -82 + 82. Which is the nearest to m? (a) -5 (b) t (c) r c Let c be (-3)/(18/(-5))*(-17 - -15). What is the closest to -1 in c, 208, -0.4, 5? -0.4 Let i = -6.89 + 2.89. What is the closest to 2 in i, -8, -5? i Suppose -5*j - 15 = 2*i, -i + 20 = -3*j - 0*i. Which is the closest to 0.1? (a) -1/5 (b) 5 (c) j a Suppose 5*h + 26 = -y, 0 = -2*h + y + 2*y - 7. Suppose -3*s + 6*z - 11*z + 22 = 0, 2 = z. Which is the nearest to -0.2? (a) h (b) 3/8 (c) s b Let l = 7/15 - 4/5. Which is the closest to 0? (a) -3 (b) -5 (c) l c Let g = -0.01158 - 2.98842. Let t = 0 - -0.4. What is the nearest to -2/5 in -0.1, t, g? -0.1 Let t be 7/((-35)/(-20))*3/(-16). What is the closest to -4 in t, 4, -2? -2 Let d be 2 - 280/(-14)*(-4)/50. Which is the closest to 2? (a) -0.4 (b) d (c) -2/7 b Let d be (-4)/(-16) + (2 - 2). Let q = 27 + -8. Let t = -20 + q. What is the closest to d in 3, -4, t? t Let s = 9 - 8.8. Let l = 83 + -78. What is the closest to s in -5, l, -0.4? -0.4 Let h = -1.0151 - -0.0151. What is the closest to -1 in -1/2, h, 0.035? h Let o be ((-9)/15)/((-4)/5). Let w be (2 - 22/3) + -9*(-22)/594. Which is the closest to -2/3? (a) o (b) w (c) 4/9 c Let v be 2*(-1 + 2)/(-1). Let u be (2/v)/(4/(-12)). Let w = -47 - -51. Which is the nearest to -1? (a) w (b) u (c) 4/3 c Let z = -10.3 + 10. Let t = 1.07 + 4.23. Let l = t + z. Which is the nearest to 0.1? (a) -1/6 (b) l (c) 0.2 c Let u = 617/6 - 4301/42. Which is the nearest to 3? (a) 0.1 (b) 2 (c) u (d) 1/6 b Let h = -104.33 - -20.33. Which is the closest to 1? (a) -2 (b) h (c) -3 a Let q = 258 - 4904/19. Let w = 73 - 72.5. Which is the neare
{ "pile_set_name": "DM Mathematics" }
1, e: 4, t: 1}? 1/7 Three letters picked without replacement from {w: 2, p: 1, e: 1, o: 3, b: 7}. What is prob of picking 2 b and 1 w? 3/26 Calculate prob of picking 1 f and 1 r when two letters picked without replacement from yrfrffyrrfryrrfyry. 40/153 Two letters picked without replacement from olhlrrlrxrblrl. Give prob of picking 1 o and 1 x. 1/91 Two letters picked without replacement from ovqo. Give prob of picking 2 o. 1/6 Calculate prob of picking 1 t, 1 k, and 1 o when three letters picked without replacement from cdczkcczddcztkzocdcc. 1/570 Calculate prob of picking 2 q and 1 p when three letters picked without replacement from qqpqqgggqqpqgp. 9/52 What is prob of picking 1 r and 1 o when two letters picked without replacement from roooroooooooo? 11/39 Two letters picked without replacement from immgmmhhyg. Give prob of picking 2 h. 1/45 Calculate prob of picking 1 v, 1 j, and 1 b when three letters picked without replacement from {b: 2, x: 8, k: 2, v: 1, j: 5}. 5/408 What is prob of picking 1 m, 1 r, and 1 x when three letters picked without replacement from {i: 1, x: 2, k: 4, r: 2, m: 1}? 1/30 What is prob of picking 1 q and 1 x when two letters picked without replacement from aqax? 1/6 Two letters picked without replacement from {t: 1, z: 3, l: 1, i: 1, v: 1}. What is prob of picking 2 z? 1/7 Calculate prob of picking 1 z and 1 y when two letters picked without replacement from {z: 1, l: 7, b: 6, y: 4}. 4/153 What is prob of picking 2 r when two letters picked without replacement from {q: 2, r: 8}? 28/45 What is prob of picking 1 b and 1 l when two letters picked without replacement from bllblbllbllb? 35/66 Two letters picked without replacement from tcztstc. Give prob of picking 1 z and 1 c. 2/21 What is prob of picking 1 b, 1 p, and 2 u when four letters picked without replacement from {n: 2, b: 1, y: 2, u: 2, p: 2, m: 3}? 2/495 Calculate prob of picking 4 p when four letters picked without replacement from ppppvvpppvppppvppp. 1001/3060 Two letters picked without replacement from mxxgxmxgmxxmxx. What is prob of picking 2 m? 6/91 What is prob of picking 2 v when two letters picked without replacement from scvasv? 1/15 Calculate prob of picking 1 p and 2 o when three letters picked without replacement from fpovbbbbvpvfovpfbb. 1/272 Two letters picked without replacement from {u: 2, t: 4, n: 4, m: 4}. What is prob of picking 1 n and 1 m? 16/91 Three letters picked without replacement from {r: 4, i: 2}. What is prob of picking 2 r and 1 i? 3/5 What is prob of picking 1 a and 1 w when two letters picked without replacement from atataawtaada? 7/66 Four letters picked without replacement from ueeueeu. What is prob of picking 3 u and 1 e? 4/35 Three letters picked without replacement from {h: 2, k: 1, x: 1, e: 2, m: 1}. Give prob of picking 1 e, 1 x, and 1 h. 4/35 Calculate prob of picking 2 a, 1 l, and 1 k when four letters picked without replacement from ykkalglll. 0 Four letters picked without replacement from {w: 9, d: 2, i: 5, s: 2}. Give prob of picking 1 d and 3 i. 1/153 What is prob of picking 2 i, 1 s, and 1 v when four letters picked without replacement from {s: 6, i: 2, z: 1, v: 1, c: 2, u: 6}? 1/510 Two letters picked without replacement from {t: 5, h: 2}. Give prob of picking 1 h and 1 t. 10/21 What is prob of picking 2 w, 1 a, and 1 s when four letters picked without replacement from {a: 2, m: 2, w: 3, s: 5}? 2/33 Calculate prob of picking 1 b and 3 s when four letters picked without replacement from syilb. 0 Calculate prob of picking 1 f, 1 b, and 1 r when three letters picked without replacement from {r: 2, b: 4, f: 5}. 8/33 Two letters picked without replacement from ccccccscccecc. What is prob of picking 1 e and 1 c? 11/78 Calculate prob of picking 1 b and 2 s when three letters picked without replacement from ssmb. 1/4 Two letters picked without replacement from csfcccaacccarfccca. What is prob of picking 1 f and 1 s? 2/153 Two letters picked without replacement from yyldldddyddd. What is prob of picking 2 l? 1/66 Calculate prob of picking 2 a when two letters picked without replacement from heihahihaaheacd. 2/35 Two letters picked without replacement from {t: 6, n: 1, e: 8, l: 1}. What is prob of picking 2 e? 7/30 What is prob of picking 2 s and 1 j when three letters picked without replacement from jqqjqsysqjvqq? 3/286 Two letters picked without replacement from iiffqqqqcfiiffffifq. Give prob of picking 2 i. 10/171 Two letters picked without replacement from {e: 1, a: 1, d: 3, h: 2}. What is prob of picking 1 a and 1 h? 2/21 Calculate prob of picking 1 k and 1 p when two letters picked without replacement from mmwffkkp. 1/14 Two letters picked without replacement from {i: 3, s: 1, f: 3, y: 1, d: 2}. What is prob of picking 1 i and 1 s? 1/15 Calculate prob of picking 1 p and 1 j when two letters picked without replacement from {j: 1, e: 1, k: 1, p: 1, u: 1, r: 2}. 1/21 Three letters picked without replacement from mkwywybww. What is prob of picking 1 k, 1 y, and 1 w? 2/21 What is prob of picking 2 u and 1 a when three letters picked without replacement from quauauyuy? 1/7 Three letters picked without replacement from {i: 3, v: 4}. Give prob of picking 2 v and 1 i. 18/35 Four letters picked without replacement from gqgaqqaa. What is prob of picking 2 q, 1 a, and 1 g? 9/35 Three letters picked without replacement from ddppppppepppepepp. What is prob of picking 1 p and 2 e? 9/170 What is prob of picking 1 b and 2 j when three letters picked without replacement from {f: 2, j: 3, b: 10}? 6/91 What is prob of picking 1 x and 2 a when three letters picked without replacement from axaaaxb? 12/35 Calculate prob of picking 1 k and 1 f when two letters picked without replacement from {r: 2, k: 5, f: 4}. 4/11 What is prob of picking 1 z and 2 b when three letters picked without replacement from eeezeeebezb? 2/165 What is prob of picking 2 a and 1 z when three letters picked without replacement from azazazzzzzzzazzzaza? 65/323 Three letters picked without replacement from yyyhyyhhyhhhyhyyhh. Give prob of picking 2 y and 1 h. 27/68 Two letters picked without replacement from {c: 1, h: 6, d: 1, f: 6, j: 1, p: 5}. What is prob of picking 1 j and 1 p? 1/38 Calculate prob of picking 1 n and 1 c when two letters picked without replacement from {j: 2, m: 6, c: 1, e: 1, f: 1, n: 4}. 4/105 Three letters picked without replacement from ununuiuunn. Give prob of picking 3 n. 1/30 Four letters picked without replacement from eddeeeee. Give prob of picking 2 d and 2 e. 3/14 Four letters picked without replacement from {g: 3, y: 4, e: 7, b: 1, s: 4}. What is prob of picking 2 e, 1 y, and 1 s? 28/323 What is prob of picking 2 s when two letters picked without replacement from {s: 2, x: 7, g: 2}? 1/55 Two letters picked without replacement from kgkkggkgtgg. What is prob of picking 2 k? 6/55 Calculate prob of picking 4 s when four letters picked without replacement from sxxsssxxxssxxs. 5/143 What is prob of picking 2 f when two letters picked without replacement from {y: 5, p: 2, w: 1, r: 1, f: 2, j: 2}? 1/78 What is prob of picking 2 w and 1 f when three letters picked without replacement from fkkkwkfwfffk? 1/44 Calculate prob of picking 2 x when two letters picked without replacement from xrrxrxwwyr. 1/15 Four letters picked without replacement from mpmpp. What is prob of picking 3 p and 1 m? 2/5 Three letters picked without replacement from {p: 2, r: 4, g: 4, f: 1}. What is prob of picking 2 p and 1 f? 1/165 Three letters picked without replacement from {a: 1, j: 1, z: 1, r: 2}. Give prob of picking 1 z, 1 r, and 1 a. 1/5 Four letters picked without replacement from ojqjjqjjqjjqjqo. Give prob of picking 1 o and 3 q. 4/273 What is prob of picking 4 t when four letters picked without replacement from dtdddtddtttttdtdtddd? 42/1615 Calculate prob of picking 3 o when three letters picked without replacement from {f: 1, b: 8, o: 10}. 40/323 Three letters picked without replacement from zaiqifizzkzq. Give prob of picking 1 f, 1 i, and 1 a. 3/220 Calculate prob of picking 1 n and 2 y when three letters picked without replacement from hzynzyrnnhynrrn. 3/91 Four letters picked without replacement from {c: 3, n: 2, r: 4, a: 1, h: 3, s: 4}. Give prob
{ "pile_set_name": "DM Mathematics" }
e there between 5:18 PM and 5:30 PM? 12 What is 699 minutes before 7:54 AM? 8:15 PM What is 194 minutes after 11:03 AM? 2:17 PM What is 636 minutes after 12:32 PM? 11:08 PM What is 387 minutes before 11:21 AM? 4:54 AM What is 410 minutes after 5:48 AM? 12:38 PM How many minutes are there between 1:50 AM and 5:48 AM? 238 How many minutes are there between 8:06 PM and 3:10 AM? 424 How many minutes are there between 1:06 AM and 7:18 AM? 372 What is 660 minutes before 12:32 AM? 1:32 PM What is 209 minutes before 6:29 AM? 3:00 AM How many minutes are there between 5:34 AM and 9:43 AM? 249 What is 176 minutes after 11:31 PM? 2:27 AM How many minutes are there between 8:40 PM and 3:26 AM? 406 What is 158 minutes after 4:07 PM? 6:45 PM What is 36 minutes before 11:37 PM? 11:01 PM How many minutes are there between 2:47 PM and 9:57 PM? 430 What is 581 minutes before 4:53 AM? 7:12 PM What is 491 minutes after 6:20 PM? 2:31 AM What is 491 minutes before 12:15 AM? 4:04 PM How many minutes are there between 1:12 AM and 11:01 AM? 589 What is 628 minutes before 5:59 AM? 7:31 PM How many minutes are there between 5:18 PM and 7:35 PM? 137 What is 360 minutes before 3:26 PM? 9:26 AM How many minutes are there between 6:57 AM and 1:23 PM? 386 How many minutes are there between 7:23 PM and 4:07 AM? 524 How many minutes are there between 2:02 AM and 4:24 AM? 142 What is 305 minutes before 6:32 PM? 1:27 PM What is 605 minutes before 1:18 PM? 3:13 AM How many minutes are there between 2:08 AM and 1:50 PM? 702 How many minutes are there between 4:14 AM and 5:56 AM? 102 What is 677 minutes before 10:00 PM? 10:43 AM How many minutes are there between 7:27 AM and 12:59 PM? 332 How many minutes are there between 11:41 AM and 9:19 PM? 578 How many minutes are there between 4:32 PM and 11:12 PM? 400 How many minutes are there between 9:49 AM and 12:10 PM? 141 How many minutes are there between 11:47 AM and 9:04 PM? 557 What is 19 minutes before 4:07 AM? 3:48 AM How many minutes are there between 5:28 PM and 5:38 PM? 10 How many minutes are there between 11:55 AM and 12:30 PM? 35 What is 582 minutes after 5:54 AM? 3:36 PM What is 283 minutes before 3:04 PM? 10:21 AM How many minutes are there between 10:34 AM and 10:07 PM? 693 What is 502 minutes before 9:22 PM? 1:00 PM How many minutes are there between 6:40 PM and 5:21 AM? 641 What is 719 minutes before 8:31 AM? 8:32 PM How many minutes are there between 3:50 PM and 8:03 PM? 253 How many minutes are there between 1:55 AM and 7:04 AM? 309 How many minutes are there between 3:27 AM and 11:37 AM? 490 What is 610 minutes after 6:23 PM? 4:33 AM What is 48 minutes after 1:13 PM? 2:01 PM What is 141 minutes before 7:45 PM? 5:24 PM How many minutes are there between 7:24 AM and 10:17 AM? 173 What is 501 minutes before 1:47 PM? 5:26 AM What is 581 minutes before 7:14 AM? 9:33 PM What is 121 minutes before 3:24 AM? 1:23 AM What is 184 minutes after 5:05 AM? 8:09 AM How many minutes are there between 8:15 PM and 9:51 PM? 96 How many minutes are there between 1:43 AM and 12:35 PM? 652 How many minutes are there between 10:21 PM and 7:37 AM? 556 How many minutes are there between 11:24 AM and 11:51 AM? 27 What is 547 minutes before 12:44 PM? 3:37 AM What is 304 minutes after 6:00 PM? 11:04 PM How many minutes are there between 4:48 PM and 1:46 AM? 538 How many minutes are there between 8:10 PM and 10:34 PM? 144 How many minutes are there between 3:28 PM and 6:15 PM? 167 How many minutes are there between 5:40 PM and 12:39 AM? 419 What is 71 minutes after 3:42 PM? 4:53 PM How many minutes are there between 4:26 AM and 11:20 AM? 414 How many minutes are there between 5:09 AM and 6:16 AM? 67 What is 443 minutes before 3:14 PM? 7:51 AM How many minutes are there between 11:38 AM and 10:30 PM? 652 What is 423 minutes after 9:09 AM? 4:12 PM What is 286 minutes before 3:26 PM? 10:40 AM What is 323 minutes after 8:26 PM? 1:49 AM How many minutes are there between 8:06 AM and 10:45 AM? 159 How many minutes are there between 7:01 AM and 9:37 AM? 156 How many minutes are there between 2:37 PM and 3:13 PM? 36 How many minutes are there between 5:01 PM and 1:23 AM? 502 What is 568 minutes after 12:37 PM? 10:05 PM How many minutes are there between 8:21 AM and 1:12 PM? 291 What is 655 minutes after 1:43 AM? 12:38 PM How many minutes are there between 3:08 AM and 2:36 PM? 688 What is 609 minutes after 10:03 PM? 8:12 AM What is 185 minutes after 4:01 AM? 7:06 AM How many minutes are there between 5:54 PM and 8:15 PM? 141 What is 458 minutes after 3:07 AM? 10:45 AM What is 52 minutes after 7:18 AM? 8:10 AM How many minutes are there between 2:41 PM and 12:48 AM? 607 What is 202 minutes before 12:48 PM? 9:26 AM What is 92 minutes before 9:59 PM? 8:27 PM What is 688 minutes before 7:13 PM? 7:45 AM How many minutes are there between 5:26 AM and 8:13 AM? 167 What is 492 minutes after 8:17 AM? 4:29 PM What is 667 minutes after 12:39 AM? 11:46 AM How many minutes are there between 7:37 PM and 9:58 PM? 141 What is 298 minutes after 2:44 PM? 7:42 PM What is 607 minutes after 5:33 PM? 3:40 AM How many minutes are there between 11:06 AM and 1:16 PM? 130 What is 660 minutes after 7:31 AM? 6:31 PM How many minutes are there between 2:53 PM and 5:44 PM? 171 What is 344 minutes before 12:59 AM? 7:15 PM What is 439 minutes after 7:17 PM? 2:36 AM How many minutes are there between 4:42 AM and 5:51 AM? 69 What is 387 minutes before 5:39 AM? 11:12 PM How many minutes are there between 6:21 AM and 4:12 PM? 591 How many minutes are there between 8:24 PM and 1:28 AM? 304 What is 254 minutes after 6:54 AM? 11:08 AM How many minutes are there between 7:11 AM and 11:22 AM? 251 What is 634 minutes after 9:11 PM? 7:45 AM What is 480 minutes after 1:46 PM? 9:46 PM How many minutes are there between 1:57 PM and 5:21 PM? 204 What is 127 minutes after 1:03 PM? 3:10 PM What is 685 minutes before 12:50 PM? 1:25 AM What is 406 minutes before 12:43 AM? 5:57 PM What is 320 minutes before 8:49 AM? 3:29 AM How many minutes are there between 7:17 PM and 8:55 PM? 98 How many minutes are there between 5:57 AM and 12:58 PM? 421 What is 481 minutes before 5:28 AM? 9:27 PM What is 504 minutes after 1:41 AM? 10:05 AM What is 274 minutes after 4:57 PM? 9:31 PM How many minutes are there between 5:00 PM and 5:59 PM? 59 How many minutes are there between 6:02 AM and 12:40 PM? 398 How many minutes are there between 5:02 PM and 8:45 PM? 223 What is 682 minutes after 3:45 PM? 3:07 AM What is 135 minutes before 7:09 PM? 4:54 PM How many minutes are there between 6:02 PM and 9:58 PM? 236 How many minutes are there between 12:36 PM and 7:36 PM? 420 How many minutes are there between 7:50 AM and 1:32 PM? 342 How many minutes are there between 12:49 PM and 11:17 PM? 628 How many minutes are there between 12:58 AM and 10:39 AM? 581 How many minutes are there between 6:50 PM and 4:31 AM? 581 How many minutes are there between 12:46 AM and 10:33 AM? 587 How many minutes are there between 10:30 AM and 3:04 PM? 274 What is 173 minutes after 6:04 AM? 8:57 AM What is 501 minutes after 12:13 AM? 8:34 AM How many minutes are there between 7:21 PM and 11:32 PM? 251 How many minutes are there between 3:57 PM and 8:00 PM? 243 What is 317 minutes after 3:08 AM? 8:25 AM How many minutes are there between 11:25 AM and 2:05 PM? 160 What is 204 minutes after 1:57 AM? 5:21 AM How many minutes are there between 11:29 AM and 5:56 PM? 387 How many minutes are there between 2:31 PM and 5:00 PM? 149 How many minutes are there between 2:01 PM and 3:17 PM? 76 How many minutes are there between 2:48 PM and 12:31 AM? 583 What is 679 minutes after 2:56 AM? 2:15 PM What is 217 minutes before 3:22 PM? 11:45 AM How many minutes are there between 7:59 PM and 5:54 AM? 595 What is 195 minutes before 8:08 PM? 4:53 PM What is 56 minutes after 1:30 PM? 2:26 PM What is 710 minutes before 4:43 PM? 4:53 AM What is 373 minutes after 6:24 AM? 12:37 PM How many minutes are there between 5:50 AM and 7:28 AM? 98 How many minutes are there between 5:28 PM and 2:26 AM? 538 How many minutes are there between 7:57 PM and 3:21 AM? 444 How many minutes are there between 5:15 PM and 7:06 PM? 111 How many minutes are there between 1:26 AM and 12:41 PM?
{ "pile_set_name": "DM Mathematics" }
*h + i*h**4 + w and give w. 0 Express -1 - q**4 - q**4 + 1102*q**2 - 1108*q**2 - 2*q**3 - 5*q + 3*q as k*q**2 + w*q + u + z*q**3 + n*q**4 and give n. -2 Rearrange 60*w - 59*w + 3*w**3 + 0*w**4 - 4*w**2 - 3*w**4 - 5*w**2 to the form f + c*w**2 + j*w + p*w**3 + n*w**4 and give p. 3 Express -2 + 2 + f + (1 - 3 + 3)*(f + 2*f - f) + 300 + 46*f - 300 as n*f + t and give n. 49 Express 7 + 8*a - 5*a**2 - 9 - 11*a**2 + 7*a**2 in the form z*a + y + s*a**2 and give z. 8 Express (0 - 3 + 5)*(-302 + 144*w**3 + 302 + (-3 - w**2 + 3)*(-2 - 2*w + 2)) in the form p*w + r + c*w**2 + m*w**3 and give m. 292 Rearrange (-103 - 28 - 2*m - 9)*(3*m + 3*m - 4*m) to the form q*m**2 + s*m + i and give s. -280 Rearrange (2*u - 3*u + 2*u + (-8*u + 4*u - 9*u)*(-4 + 2 - 1))*(3 + 1 - 5)*(-4 + u + 4) to x*u + a*u**2 + k and give a. -40 Express -5*y + 5*y - 6*y + (3 + 2 - 7)*(-3 + 3 + 2*y) + (-2 + 2 - 2)*(0*y - 4*y + 5*y) - 3*y + 14*y + 4*y as g + m*y and give m. 3 Rearrange 215*i**2 + 3*i + 81*i**2 + 221*i**2 - 3*i to the form o*i + w + z*i**2 and give z. 517 Express 2*f - 3*f - f + (328 - 269 - 267)*(0 + 2 - 4 + 3*f) as m + a*f and give a. -626 Express 11147*c**2 + 15*c - 2*c**3 + 24*c - 11146*c**2 + 3*c**3 in the form i*c + l*c**2 + y + z*c**3 and give i. 39 Express (-3 + 1 + 0)*(-72167*v + 72167*v - 983*v**2) as n*v + i*v**2 + f and give i. 1966 Rearrange -278 - 560*m + 554 - 276 to y*m + d and give y. -560 Express (m - 3*m + 0*m)*(0 + 2 - 3)*(-3*m**2 + 5*m**2 + 22*m**2)*(-1 + 1 + 4*m) as n + t*m**2 + c*m + s*m**3 + h*m**4 and give h. 192 Rearrange 0*z**4 + 3*z**2 - 5*z**2 + z - 8*z + 6*z - z**3 + 2*z**4 to the form n*z**2 + q*z**3 + d*z**4 + a*z + v and give q. -1 Express -6*s + 5 + 5*s - 218 - 24 + 2*s as k*s + x and give x. -237 Express (48*g**2 + 28 + 113*g - 30*g**2 - 113*g)*(2*g**2 - 2*g**2 - 4*g**2) in the form o*g**3 + v*g + f*g**4 + d + m*g**2 and give f. -72 Rearrange (0*q - q + 3*q + (q + 4*q - 4*q)*(5 + 0 - 3) + (4 - 4 - 1)*(1 - 1 + 2*q) - 2*q + q + 0*q)*(166 + 55 + 128) to the form u*q + w and give u. 349 Rearrange (-39*c + 26*c - 18*c)*(1 + 3 + 0) + 0*c - 2 + 0*c + c to d + l*c and give d. -2 Express 147*p**2 + 806*p - 805*p - 17*p**2 in the form a*p + w*p**2 + n and give a. 1 Express (-1 - u + 1)*(20 - 129 - 11) - 2 + 2*u + 2 in the form p*u + r and give p. 122 Rearrange -658*r - 1156*r - 426*r + 310*r - 292*r to the form m*r + b and give m. -2222 Rearrange -3*o**3 + 4*o**3 + 37*o + 1 + 1 + 2*o**3 - 6*o**3 to s*o**2 + l*o + j*o**3 + y and give y. 2 Express -2*c**2 + 0*c + 0*c + (-2*c + 4*c - 4*c)*(-69*c + 127*c - 223*c - 8) as p*c**2 + b + j*c and give p. 328 Express -6 + 6 - 495*i + 395*i as j + v*i and give v. -100 Rearrange 2 - 3*u + 3*u**4 + 29*u**2 - 4*u**4 - 29*u**2 to m*u**3 + h*u**2 + s*u**4 + p + n*u and give s. -1 Rearrange -12*h**3 + 40*h**4 + 3*h + 10*h**3 - 4*h - 6*h**4 to t*h**2 + d*h + a*h**4 + n*h**3 + o and give n. -2 Rearrange (i - 4*i + 2*i)*(-105 - 647 + 220 - 555) to g + a*i and give a. 1087 Rearrange (-4 + 12 + 4)*(5 - t - 5) - 4*t + 12*t - t + (2*t - 4*t + 4*t)*(0 + 3 - 2) + 2*t + 0 + 0 + 0 + 2*t + 0 to the form o + q*t and give q. 1 Express -3*j**3 + 2 + 26*j + 275*j**2 - 24*j - 273*j**2 in the form i*j + w*j**3 + g + a*j**2 and give i. 2 Express (0*j + 3*j - 2*j)*(-7*j - j - j) + 3*j**2 - 3*j**2 - 2*j**2 + (0 + 2 - 1)*(-j**2 + 4*j**2 - 6*j**2) in the form m + i*j + b*j**2 and give b. -14 Express (-1 - 1 + 4 - 2*o)*(45*o + 2*o**2 - 45*o) as m + a*o**3 + f*o**2 + k*o and give k. 0 Express (0 - 4 + 2)*(0*g + g - 4*g)*(2*g + 0*g - g) + 43*g**2 + 120 - 120 in the form j + w*g**2 + i*g and give w. 49 Express 539*v**2 - 540*v**2 - 55*v**4 + 2*v**3 + 1 + v**4 - 2 in the form j*v**2 + d*v + n*v**4 + z + b*v**3 and give n. -54 Express (-146 - 841 - 932 + 198)*(-k + 2*k + k) in the form j*k + o and give j. -3442 Rearrange (4*m**2 + m - m)*(12*m - 1307 + 1307) to the form w*m**3 + c + p*m**2 + s*m and give w. 48 Express -i + i + 54422*i**2 - 14*i**4 + 16*i**3 - 54420*i**2 as y*i + v*i**4 + f*i**2 + x*i**3 + k and give f. 2 Rearrange 2*d - 4 - 3*d + 599*d**3 - 607*d**3 to h*d**2 + y + k*d**3 + r*d and give r. -1 Express (5*x + 0*x - x)*(0 - 1 + 0)*(-23*x - 23*x - 71*x) in the form k + f*x + d*x**2 and give d. 468 Express (2*w**2 - 4*w**3 - 2*w**2)*(-2 - 3 + 1)*(43 - 24 - 12) in the form g*w**2 + z + x*w + f*w**3 and give f. 112 Rearrange 5*a**2 - 6*a**3 + 12*a**2 - 17*a**2 + 19*a to the form j*a**3 + t*a**2 + g + h*a and give j. -6 Rearrange (2*i**2 - 2*i + 2*i)*((0 - 1 + 0)*(3 - i - 3) + 46*i - 34*i - 22*i) to the form g*i**2 + m*i**3 + n*i + a and give m. -18 Express 428*b**2 - 231*b**2 + 1009*b**2 in the form o + i*b + s*b**2 and give s. 1206 Express ((-4 + 2 + 5)*(0 + o + 0) + o - 3*o + 0*o - o + 3*o + 0*o)*(-28 - 4 + 0) in the form x*o + z and give z. 0 Rearrange (-6 - 10*q + 16*q - 1)*(-3 - 4*q + 1 + q) to the form u + g*q**2 + s*q and give u. 14 Express 119*i - 12*i - 23*i + 55*i in the form t*i + x and give t. 139 Express d + 0*d - 125*d**2 + 489 - 486 + d**3 in the form w*d**2 + z*d + g + r*d**3 and give z. 1 Rearrange (-7*n - 3*n - 3*n)*(8 - 48 - 2) to the form i*n + r and give i. 546 Rearrange -3*i - 13 + 10 + 1 + 0*i + i**4 - 3*i**2 + 2*i to d*i**4 + l + f*i**2 + x*i + u*i**3 and give d. 1 Rearrange -674156*y**2 + 2*y - 2*y + 674821*y**2 to the form k + v*y**2 + z*y and give v. 665 Express -4325 - 2*x**2 + x + 4326 + 0*x + 7*x**4 in the form r + d*x**3 + k*x**4 + j*x**2 + u*x and give j. -2 Express -2*s**2 - s + 28*s**4 + 14*s + 22*s**4 - 14*s - s**3 as l*s**4 + r*s**3 + d*s**2 + k*s + y and give d. -2 Rearrange 2*p**2 - 1 + 2 - p - 22*p**3 + 3*p + 15*p**3 to b*p**3 + t + l*p + h*p**2 and give t. 1 Rearrange (-4*g + 2 + 5*g + 0*g)*(8*g + 5*g + 4*g) to the form k + d*g + w*g**2 and give d. 34 Express 12*b**3 + 162*b**3 + 136*b**3 + (-2*b**2 + 2*b**2 - b**2)*(0 + 0 + b) + 2*b**3 - b**2 + b**2 as h*b + s*b**3 + d*b**2 + m and give s. 311 Express 233*v - 194*v + 264*v + 69*v + 231*v as l*v + i and give l. 603 Express -7 + 8*c + 1 - 15*c as f + v*c and give v. -7 Rearrange (-1 + 4 + 4)*(118*v**3 - 84*v**3 + 174*v**3) to the form f*v**2 + n*v**3 + y + m*v and give n. 1456 Express (-1 + 1 + 3*r**2)*(r + 0*r - 3*r) + (-25 + 25 - 10*r)*(-r**2 + 0*r**2 + 0*r**2) + 0*r**3 + r**3 - 4*r**3 as p + v*r**3 + w*r + a*r**2 and give v. 1 Express -35 + z**3 + 0*z**4 - 26 + 2*z**4 + 64 - 4*z**2 as x*z**2 + f*z**4 + b*z + j*z**3 + d and give b. 0 Rearrange -120*b - 3*b - 20*b - 38*b to the form c + t*b and give t. -181 Express 0*x**2 - 5*x**2 + 0*x**2 + (0*x + 7*x + 5*x)*(-6*x + 0*x - x) - x**2 + 3*x - 3*x in the form m*x + g*x**2 + d and give g. -90 Express -36 + 69 - 33 + 136*o as h*o + z and give h. 136 Rearrange (629*h - 296*h - 429*h)*(-1 - 1 + 1) to the form t*h + v and give t. 96 Rearrange (3*l + 5*l + 0*l)*(7 + 401*l - 17 + 10) to the form i*l + r + k*l**2 and give k. 3208 Express -82*o**2 - 8 + 4 + 4 - 1 in the form s*o**2 + y*o + p and give s. -82 Express ((1 - 1 + 2)*(4 + 1 - 6) - 2 - 2 + 3 + 5 + 3 - 2)*(t + 2*t - t) in the form y*t + o and give y. 6 Express 33 + 0 - 5*l + 9 - 3 - 2 in the form a + t*l and give t. -5 Rearrange -105*t + 52 - 87 + 35 to n + b*t and give b. -105 Rearrange -659*t - 533*t + 1313*t to the form f*t + o and give f. 121 Express (4*o + 0*o - 3*o + (-2 + 1 + 3)*(2*o + 0*o - 3*o) + 9*o + 10*o - 9*o)*(-33*o + 15*o + 8 + 13*o) in the form b*o + j + v*o**2 and give b. 72 Express 8 - 4*s + 5*s - 7*s - 3*s in the form h*s + c and give c. 8 Express 588*p**2 + 260*p**2 - 1575*p**2 in the form v + r*p**2 + s*p and give s. 0 Rearrange -1 + 99*x + 2*x**2 + 102*x + 2*x**3 + 96*x + 2 - 290*x + 7*x**4 to the form j*x**4 + f*x + w*x**2 + m + q*x**3 and give w. 2 Rearrange -61*l - 60*l + 11 + 117*l to the form y + x*l and give x. -4 Express -87307*t**2 + 4 - 3 - 3*t**4 + 87305*t**2 + t + 0*t**4 + 19*t**3 in the form y*t**2 + q*t**3 + s + n*t**4 + w*t and give n. -3 Rearrange 47*w - 45 - 16*w**3 + 2*w**4 - 23*w - 25*w + 19*w**3 to the form v + a*w + q*w**4 + z*w**3 + t*w**2 and give q. 2 Rearrange 2*w**4 + 0*w**4 - w**4 + (-6 - 22 + 2)*(w**4 + 5*w**4 + 2*w**4) to c + t*w**2 + p*w**4 + a*w + v*w**3 and give p. -207 Rearrange (0*k + 0*k - k**2)*(-2*k + 90 - 91 + 4*k)*(-80 + 171 - 83) to the form p + f*k + q*k**2 + w*k**3 and give q. 8 Ex
{ "pile_set_name": "DM Mathematics" }
16 = j*h - 7 for h. -3 Let n = -2132 - -2140. Solve n*q - 4*q = 5*q for q. 0 Let f be -2*(15*9/45 - (-3 - -34)). Solve -33*m - 109 = f for m. -5 Suppose 95*z + 765 = 28*z + 7733. Solve k + 103 = z for k. 1 Suppose -3*i = -1103 + 314. Suppose 0 = -11*b - 43 + i. Suppose -18 = -2*f - 3*s + 27, f = -s + b. Solve 2*u + 3*u = f for u. 3 Let z(q) = -q + 10. Suppose 42 = 25*s - 22*s. Let f be z(s). Let a be f*(-21)/(-8)*(-22)/33. Solve -a*m - 4 = -5*m for m. -2 Let o(t) = 2*t**2 + 25*t - 248. Let j be o(7). Solve -69*u + j*u - 308 = 0 for u. -7 Suppose 2*r = -2*f - 10, 2*f = 3*r - 2*r + 5. Let o(s) = s**3 + 5*s**2 + 4*s - 6. Let t be o(-4). Let j be (-20)/5 - -1 - (f + t). Solve -2*i + 5 = -j*i for i. -5 Let y = -516 + 516. Solve 4*c - 28 = -y for c. 7 Suppose b + 0*l + 11 = 2*l, 5*l = -b + 3. Let m be (-2)/b*(-49)/(-14). Solve -6*g - m = -13 for g. 2 Suppose 0*b + 4*b = 5*y - 30, y + 8 = -2*b. Suppose -v + 4 - y = 0. Suppose -5*n + 5 = 5*i, -5*n = -v*i + 4*i - 14. Solve 0 = n*t - 0*t + 12 for t. -3 Let b = -10705 + 10709. Let i = -2 + 14. Solve i = -0*t - b*t for t. -3 Let x = -12 - -21. Let q(k) = -3*k + 25. Let n be q(x). Let j be (1/n)/(2/6)*-2. Solve -3*o = j - 0 for o. -1 Let f be (-396)/(-22)*(-2)/(-4). Suppose 9*q + f = 9. Suppose 5*u = 5*l - 0*l - 10, -4*u - 2*l + 10 = q. Solve x = u + 2 for x. 3 Suppose 0 = -20*x + 13*x + 49. Let c be (-42)/x + 31 + 3. Solve 8*f - c = f for f. 4 Let h(w) = -w**3 + 6*w**2 + 89*w + 29. Let c be h(13). Suppose -l - 13 = -c*r, l - 5*r = -9 - 14. Solve -20*a + 18*a = l for a. -1 Let a be (-3)/(-1 - 2) + -3 + 5. Suppose -a*m + 3*h + 2*h + 13 = 0, -9 = -m + 4*h. Suppose -2*c + 3*c = o + m, -2*c = 2*o + 2. Solve 2*i + 7 - 1 = c for i. -3 Let q(b) = -56*b + 115. Let c be q(2). Solve 0 = -5*t - 8 + c for t. -1 Let g = -333 - -336. Suppose -g*h - a = -130, 9*h + 182 = 13*h - 3*a. Solve h = -u - 10*u for u. -4 Suppose -23*z = -25*z - u + 150, -3*z - 4*u + 220 = 0. Solve 32*t + 12 = z for t. 2 Let c(m) = -2*m + 43. Let s be c(16). Suppose -3*j - 11 = -s. Suppose q - 3*w - 20 = -j*q, -2*w - 10 = 0. Solve -3*f - 2*f + q = 0 for f. 1 Let y(p) = -28*p + 118. Let d be y(4). Suppose -31*n - d*n = -2109. Solve 0 = -n*c + 58*c + 5 for c. -5 Suppose 0*a = -a + 5. Let o = -331 - -334. Suppose o*u = r + r - 44, -a*u = 3*r - 28. Solve y = 5*y - r for y. 4 Let m(i) be the second derivative of 10*i**3/3 - 31*i**2/2 + 3*i + 5. Let r be m(2). Solve 1 + r = -2*k for k. -5 Suppose 41*v + 405 = -743. Suppose -4*y - 15 - 17 = 0. Let d be (5 + 9)*y/v. Solve -z = -d + 9 for z. -5 Suppose 24 = -3*s + 4*q, 6 = -5*s + 17*q - 16*q. Solve -8 = -4*d - s*d for d. 2 Suppose 50*j + j + 17*j = 8092. Solve -116*o + j*o - 21 = 0 for o. 7 Let k(p) = -3*p - 10. Let v be k(-5). Suppose 5*w = -5 + 35. Suppose -v*g + 23 = o, -o + 15 = g - w*o. Solve 0*b = -g*b for b. 0 Let n = -2324 + 2358. Solve n*b = 38*b + 16 for b. -4 Suppose -3*f - 2*i - 2*i = -308, -2*i + 404 = 4*f. Suppose 36*t - f = 11*t. Solve -v - 10 = t*v for v. -2 Let o be 19 + (12 - 13) + -10. Solve o = -3*b + 5 for b. -1 Let i(d) = d**2 - 9*d + 4. Suppose 4*f + 14*j - 12*j - 10 = 0, 3*f - 2*j = -10. Let y be i(f). Solve 4*z + y = -16 for z. -5 Let z be ((17/(-3))/(32/(-48)))/(2/12). Solve 0 = -20*p + 3*p - z for p. -3 Let c(r) = r**2 - 26 - 2*r - 18 - 11 + 5 - 28. Let a be c(10). Solve a + 3 = g for g. 5 Let t = 30 + -30. Let p be 3 - t/4*-1. Let j = 25 - 8. Solve -4*c + p = -j for c. 5 Let o be ((-65)/(-10) + -5)/(6/16). Suppose -o*n - 16 = -f + 3*f, -4 = 4*f + n. Suppose -4*d + 88 - 28 = f. Solve 7*t - d = 2*t for t. 3 Suppose 19*l = -9 + 85. Suppose -35 = l*a - 55. Solve -9 = a*u - 34 for u. 5 Suppose 2*l = 10*l. Let m(i) = -i**3 - i**2 + 4*i + 3. Let r be m(l). Solve 8*a = r*a + 10 for a. 2 Suppose 0 = -2*l + 2*g + 2, 4*l - 3*l + 3*g - 9 = 0. Suppose 0 = 3*y + 2*w - 28, 9 = 3*y - 5*w + 16. Suppose -y*a + l = -3*a. Solve 0 = -2*d - a - 1 for d. -1 Let i = 217 + -224. Let l = -4 - i. Solve 4 = -r + l*r for r. 2 Suppose 5*g + 26 = 4*v, 30*v + 4*g - 8 = 26*v. Solve -v*l + 4 = -8*l for l. -1 Suppose 3*s - 5*g - 6 - 10 = 0, 0 = -s + 3*g + 4. Suppose 0 = -s*q - 0*q. Solve q*p + 5 = 5*p for p. 1 Let j(z) = 38*z + 2153. Let m be j(-33). Solve -896 + m = -3*y for y. -1 Let b(k) = 9*k + 12*k - 59*k + 8*k - 118 + 12*k. Let h be b(-8). Solve h*x - 30*x = 0 for x. 0 Let i be -8 - (-40 - (-6 + -5 + 6)). Solve 0 = -i*x - 108 + 27 for x. -3 Let s(t) = -t**3 - 32*t**2 - 63*t - 88. Let v be s(-30). Suppose 26*n = 31*n - v*a - 15, 0 = 3*n - 3*a - 9. Solve 0 = -0*x + n*x for x. 0 Let p = -1554 - -1582. Solve -p*k = -154 - 14 for k. 6 Suppose 3*p - 65 = -5*c - 1, -4 = -2*c. Let f be p/9 + 10/5. Solve 2*l + 0*l = f for l. 2 Let b = -555 + 553. Let j be ((-40)/10 - b) + 3*3. Solve 0 = j*z + 15 + 20 for z. -5 Suppose 3*a + 23 = 20. Let k be (0/23)/(3 + a - 1). Suppose k = x - 2*x - 3*x. Solve 4*p + p = x for p. 0 Let b(x) = -2*x**3 - 18*x**2 + 3*x + 27. Let m = 792 - 801. Let f be b(m). Solve k + 10*k + 44 = f for k. -4 Let k be (-336)/((-224)/(-16)) - -62. Solve 20*d - 108 = k*d for d. -6 Let w(t) = -t**2 - t + 4. Let d be w(-3). Let f = d - -4. Suppose 2*z = r - 5, r - 2*z + 1 = f*r. Solve -r*k - k = 4 for k. -1 Let c(k) = -32*k - 29. Let v be c(-5). Let m = -134 + v. Let a be 50/(-75) + (-14)/m. Solve -4 = -4*u + a for u. 2 Suppose -3*q + 1 = -29. Suppose 2*l + 7*z = q*z, 0 = 4*l + 3*z - 18. Solve -l*s + 5 = -7 for s. 4 Let s be 4/(-50) - 604/(-50). Suppose s*a - 5*a = 14. Solve a*f + 6 = 5*f for f. 2 Suppose -2*s + 5*t = -109, -6*s + s - 3*t = -257. Let a = -115 + s. Let k = a + 74. Solve 5*i + k = 1 for i. -2 Suppose 3*j + 12 = 3*o, -4*o = 2*j - 41 + 1. Solve 12 + o = -5*p for p. -4 Let i(f) = -10*f + 1943. Let m be i(113). Solve -m = -12*q - 825 for q. -1 Suppose w - 13 = -5*q, -5*w + 17 = 3*q - 9*w. Suppose -4*t - 20 = 4*v, q*v - 6*v - 4*t = 16. Let k be 4/(10/(-5)) - v. Solve k*n - 4 = 3*n for n. -4 Let k(b) = -9*b + 61. Let l(d) = -d + 1. Let g(f) = -k(f) + 4*l(f). Let q be g(12). Solve 0 = q*h - 6 for h. 2 Let p be 14*(8 - 7)/2. Solve -103 = p*j - 96 for j. -1 Let w = 23 - 10. Let d = 72795 - 72785. Solve -6 = -w*o + d*o for o. 2 Let v = -7110 - -7116. Solve -213 + 171 = v*y for y. -7 Let s = 69 + -64. Suppose -r - q - 13 = -s*r, -r - 2*q - 8 = 0. Suppose -k - 14 = -r*k - j, 3*k + j = 44. Solve 6*m - k = m for m. 3 Let s be (-8)/12 - (-10)/6. Let k(v) = 4*v + 42. Let q be k(-8). Solve 11*n = q*n + s for n. 1 Let r be 2 - ((-2)/6)/((-9)/(-675)). Let p be 6/r + 151/9. Let d = 7 - 3. Solve p = d*q + 1 for q. 4 Let k(q) = -263*q - 3657. Let y be k(-15). Solve -y = 7*l - 302 for l. 2 Suppose 3*d - 2*d = -3*k + 63, 5*k - 101 = -3*d. Suppose 0 = -20*f + k*f - 28. Suppose f - 2 = 6*g. Solve 2*v - 16 = -g*v for v. 4 Let j(m) be the first derivative of -5*m**3/6 - 6*m**2 + 32*m - 5. Let f(i) be the first derivative of j(i). Let g be f(-6). Solve 5*v - 2 = g for v. 4 Suppose 0 = -11*t + 88*t - 1694. Solve 0 = -t*o - 26 - 62 for o. -4 Suppose 156 - 162 = -s. Suppose -2*a = t - 9 - 4, -5*a + 10 = 0. Solve -3*p = -s*p + t for p. 3 Let g be (-9)/(-5) - 37/(-185). Suppose -10*c + 7*c = 2*v - 53, 3*c = g*v - 47. Solve 9*t + v + 11 = 0 for t. -4 Let k(r) = r**2 - 7*r - 5. Let j = 71 + -59. Let n be k(j). Suppose n = x + 54. Solve -11 = -3*f + x for f. 4 Suppose 11*m - 12*m = 3*d - 530, -2*d = 2*m - 356. Let w be (-1)/((-8)/d) - 7. Solve 0 = w*g - 12*g - 9 for g. 3 Let d(a) = a**2 - 3*a + 3. Let r(m) = m**2 - 18*m + 20. Let l be ((-4)/(-10))/(18/765). Let c be r(l). Let o be d(c). Solve -o - 2 = -w for w. 5 Suppose -8*w + 9 = -15. Let d be -3 - 6*w/(-2). Suppose -d*g = 9 - 21. Solve 0*p + 8 = -g*p for p. -4 Let y(q) = -q**2 + 96*q + 832. Let v be y(-8). Solve -22*l - 16 - 6 = v for l. -1 Let m be 6/(-12)*-90 - 1. Let r = -41 + m. Solve 0 = r*a + a + 8 for a. -2 Let s be 20 - 17 - (40/(-20) + 30/(-2)). Solve -24*a = -s*a - 4 for a. 1 Suppose m - 5*i = 4*m - 29, -1 = m - i. Suppose -4*x - 3*s - s = -12, 0 = 3*x - m*s - 33. Solve x*t - t = 2*t for t. 0 Let b(n) = -23*n + 9. Let m be b(-2). Suppose -6*t + t = m. Let h(z) = z**2 + 12*z + 11. Let g be h(t). Solve g*j = -j - 2 for j. -2 Let i be (1 + -1 - (1 - 11))/(-1). Let z = i + 29. Suppose z = -3*g - 0*x + 5*x, -2*g + 29 = 5*x. Solve -2*o = g*o + 20 for o. -5 Let n be 0/
{ "pile_set_name": "DM Mathematics" }
13259*o - 2787213259*o. -19*o**3 Collect the terms in -52 + 170 - 60 - 58 - 27472*u. -27472*u Collect the terms in -834998*h**2 + 1669568*h**2 + 14*h**3 - 834570*h**2. 14*h**3 Collect the terms in -11128257*h + 5564753*h + 5563475*h. -29*h Collect the terms in 4*g - 4*g + 1446732*g**2 + 1. 1446732*g**2 + 1 Collect the terms in 3*i**2 - 941*i - i**2 + 3283*i + 2107*i - 157*i. 2*i**2 + 4292*i Collect the terms in 497782 - 68*z**3 - 497782 + 1791*z**3. 1723*z**3 Collect the terms in 230 - 18136*c - 18516*c - 230. -36652*c Collect the terms in -142 + 535 - 201 + 135*h**3 - 190 - 2*h. 135*h**3 - 2*h + 2 Collect the terms in 54*s**3 - 17*s + 239*s**3 + 730*s**3 + 384*s**3. 1407*s**3 - 17*s Collect the terms in 1209 + q + 220*q**3 - 1204 + 119*q**3. 339*q**3 + q + 5 Collect the terms in -181*t**3 + 46707389*t - 46707389*t + 50*t**3. -131*t**3 Collect the terms in 59231*h**3 + 123650*h**3 + 606*h**2 - 606*h**2 + 19715*h**3. 202596*h**3 Collect the terms in -301392*n - 300942*n + 602325*n. -9*n Collect the terms in 216985431054 + 10*m**3 - 216985431054. 10*m**3 Collect the terms in -3712*o - 2 + 2 + 1587*o**3 + 1917*o + 1795*o. 1587*o**3 Collect the terms in 2246*x**3 - 2387*x**3 - 8 - 4. -141*x**3 - 12 Collect the terms in 67*h**3 + 47*h**3 - 3040*h + 281*h**3 + 3040*h + 29*h**3. 424*h**3 Collect the terms in 180*h + 3*h**3 + 254*h - 13*h**3 - 789*h + 175*h + 180*h. -10*h**3 Collect the terms in 5 - 8496*t**3 + 4955*t**3 - 5 + 3546*t**3. 5*t**3 Collect the terms in -70611143 + 70611143 + 6*d. 6*d Collect the terms in 2 + 15004*w - 15100*w - 5. -96*w - 3 Collect the terms in -242415968*u**2 + 484831993*u**2 - 242416026*u**2. -u**2 Collect the terms in -5826*n + 5815*n - 291 + 150 + 141. -11*n Collect the terms in -414*p**3 + 1446*p**3 - 2*p**2 + 734*p**3. 1766*p**3 - 2*p**2 Collect the terms in 52703677*w**2 - 5*w - 6*w - 52703702*w**2. -25*w**2 - 11*w Collect the terms in -533389*c + 28 - 43 + 15. -533389*c Collect the terms in -433029775*w**2 + 144343260*w**2 + 144343260*w**2 + 144343261*w**2. 6*w**2 Collect the terms in 3001878*t - 1500920*t - 1500939*t. 19*t Collect the terms in 6637 + 7*v - 6637 - 7*v + 8957*v**2. 8957*v**2 Collect the terms in 0*y + 4181 + 4390 - 2*y + 4169 + 4178 - 16918. -2*y Collect the terms in 4969*i**2 + 4980*i**2 + 4962*i**2 + 4964*i**2 - 19877*i**2. -2*i**2 Collect the terms in -190*a**2 - 36 - 5*a + 56*a**2 - 83 + 3*a. -134*a**2 - 2*a - 119 Collect the terms in -p**2 + 512029317*p**3 + p**2 - 1 + 512029322*p**3 - 1024058646*p**3. -7*p**3 - 1 Collect the terms in 1337*a**2 + 6*a - 8*a + 2*a - 702*a**2 - 784*a**2. -149*a**2 Collect the terms in 69 - 69 - h - 3876*h**2 - 16588*h**2. -20464*h**2 - h Collect the terms in -19869*r**3 + 9823*r**3 + 9893*r**3. -153*r**3 Collect the terms in -47*r**3 + 15*r**3 - 48*r**3 - 153*r**3. -233*r**3 Collect the terms in -13968692*g**2 + 27936621*g**2 - 13967933*g**2. -4*g**2 Collect the terms in 6921*d - 2*d**2 + 2*d**2 - 6*d**2 + 3*d**2 + 5*d**2. 2*d**2 + 6921*d Collect the terms in 132 + 281*y**2 + y - 264 + 129. 281*y**2 + y - 3 Collect the terms in 10 + 6 - 597*m**2 - 678*m**2 - 27 + 11. -1275*m**2 Collect the terms in 8*m**3 + 26*m**3 + 26*m**3 + 2*m - 63*m**3 - 226*m**2. -3*m**3 - 226*m**2 + 2*m Collect the terms in -22*y + 22*y - 2*y**2 - 65051 + 182906. -2*y**2 + 117855 Collect the terms in 277060*g**3 + 198*g - 198*g. 277060*g**3 Collect the terms in 7*p**2 - 7*p**2 + 372*p**3 - 808*p**3 + 464*p**3. 28*p**3 Collect the terms in -480*c**2 + 455*c**2 - 3 + 23. -25*c**2 + 20 Collect the terms in -11*h + 15*h + 1 + 4464*h**2 - 5*h. 4464*h**2 - h + 1 Collect the terms in 17752*a**3 + 20214*a**3 + 10088*a**3. 48054*a**3 Collect the terms in -6427*u**2 - 6429*u**2 + u**3 + 19280*u**2 - 6424*u**2. u**3 Collect the terms in 6 + 7 - 615*z**3 - 13 + 640*z**3 + 0. 25*z**3 Collect the terms in -14*p - 167 - 150 + 6*p - 151 + 468. -8*p Collect the terms in 295*u - 162 - 421 + 149 + 57*u. 352*u - 434 Collect the terms in 2582*v**3 - 1264*v**3 + 3096*v**3. 4414*v**3 Collect the terms in 12125*p**2 - 42496 + 10030*p**2 + 42494 + p. 22155*p**2 + p - 2 Collect the terms in -29*i - 27*i + 1 + 4306*i**3 + 56*i - 4173*i**3. 133*i**3 + 1 Collect the terms in 21*d**2 + 18*d**2 + 568894 - 284480 - 284414. 39*d**2 Collect the terms in 3*z + z + 3*z + 8*z**3 + 795. 8*z**3 + 7*z + 795 Collect the terms in 20*r**3 - 781*r - 13*r**3 + 782*r - 17*r**3. -10*r**3 + r Collect the terms in 50 + 47 + 54 - 203 + 52 - 51*l. -51*l Collect the terms in 3094*o - 1813*o + 17901*o. 19182*o Collect the terms in 588*k**3 + 101*k**3 + 5*k**3 + 568*k**3 + 236*k**3. 1498*k**3 Collect the terms in -2 - 12 - 20 + 22*m + 27 + 7. 22*m Collect the terms in -3*b - 241*b**2 + 64*b**2 + 77*b**2 + 63*b**2 + 53*b**2. 16*b**2 - 3*b Collect the terms in -8 + 5 + 935*k + 251*k + 5 + 1031*k. 2217*k + 2 Collect the terms in -4810 + 1601 + 1609 + 1591 + 37*q. 37*q - 9 Collect the terms in -8 + 480*w - 1888*w + 8 + 442*w + 477*w + 463*w. -26*w Collect the terms in 277*k**3 + 282*k**3 + 283*k**3 - 1136*k**3 + 302*k**3. 8*k**3 Collect the terms in -549650*s**2 + 4*s - 4*s + 1648936*s**2 - 549641*s**2 - 549631*s**2. 14*s**2 Collect the terms in 11 - 117*s**2 + 0 + 8 + 146*s**2 + 11 - 8. 29*s**2 + 22 Collect the terms in 197*t + 2*t**2 + 298*t - 744*t - 4*t**2 - 204*t. -2*t**2 - 453*t Collect the terms in 6*t - 6*t + 38398035001*t**3 - 38398035004*t**3. -3*t**3 Collect the terms in 1540603027*o - 79*o**2 - 1540603027*o. -79*o**2 Collect the terms in 27286*u**2 - 12654*u**2 + 52540*u**2. 67172*u**2 Collect the terms in -682 + 154 + 353 + 288 - 4*l + 186 + 192. -4*l + 491 Collect the terms in -90291*d - 20460*d + 32272*d - 37558*d. -116037*d Collect the terms in 3325 - 6399 - y + 3121. -y + 47 Collect the terms in -174 - 168 - 134 - 74 + 550 - 4*a. -4*a Collect the terms in 70268*m - 3*m**2 - 35135*m - 7*m**2 - 35133*m + 5*m**2. -5*m**2 Collect the terms in -2708*t**3 - 444192*t**2 + 2706*t**3 + 444192*t**2. -2*t**3 Collect the terms in -153289 + m**2 + 459841 - 153282 - 153312. m**2 - 42 Collect the terms in -55821*p**2 + 56432*p**2 - 3 + 17. 611*p**2 + 14 Collect the terms in 1261*l**3 - 56633 + 56633 + 1860*l**3 - 823*l**3. 2298*l**3 Collect the terms in 0 - 2*v**2 + 2*v**2 + 27105553*v**3 - 27105545*v**3 + 0. 8*v**3 Collect the terms in -229*o**3 + 18 + 96*o**3 + 104*o**3 + 16 - 48 + 14. -29*o**3 Collect the terms in -99810*h - 2279*h - 50636*h - 11327*h + 14083*h. -149969*h Collect the terms in 122586*t**2 - 121822*t**2 + 310189*t**2 + 70350*t**2 + 3*t**3. 3*t**3 + 381303*t**2 Collect the terms in 774866527 - 774866527 + 549*m**3. 549*m**3 Collect the terms in 1086*m**2 + 28 - 2412*m**2 - 28 + 1032*m**2. -294*m**2 Collect the terms in 1018662931166 - 1018662931166 - 2*b**2. -2*b**2 Collect the terms in 6818*z + 314*z**2 - 8 - 9 + 21 - 313*z**2 - 5. z**2 + 6818*z - 1 Collect the terms in 694*g**3 - g - 3*g - 7*g + 624*g**3 - 1320*g**3. -2*g**3 - 11*g Collect the terms in -1 - 2766913*l**2 + 5534007*l**2 - 2767090*l**2 + 5 - 4. 4*l**2 Collect the terms in 395*b + 81*b - 50*b + 187*b. 613*b Collect the terms in 27141 + 17*k + 17*k - 73*k + 21*k + 16*k. -2*k + 27141 Collect the terms in 523*g**3 + 531*g**3 + 531*g**3 + 498*g**3 + 523*g**3 - 2605*g**3. g**3 Collect the terms in 71 + 74 - 12*q + 75 - 127*q**2 - 212. -127*q**2 - 12*q + 8 Collect the terms in -6*o**3 + 109*o + 90*o - 313*o + 2*o**3 + 114*o. -4*o**3 Collect the terms in 25*u**2 + 113*u**3 + 184*u**3 - 107*u**3 - 25*u**2 + 83*u**3. 273*u**3 Collect the terms in 228*z**2 + 2*z + 2*z - 52*z**2 - 23*z + 19*z. 176*z**2 Collect the terms in 1799*q**3 + 7876757*q**2 - 7876757*q**2 - 1. 1799*q**3 - 1 Collect the terms in 368*v - 224*v - 3*v**3 + 389*v - 533*v. -3*v**3 Collect the terms in 1647 + 449 + 9*x**2 - 2096. 9*x**2 Collect the terms in -2123*b + 66*b + 73*b**2 + 21*b**2. 94*b**2 - 2057*b Collect the terms in -3 - 6868975596*p + 6868975596*p + 3 + 130*p**3. 130*p**3 Collect the terms in 46 + 52 + 61 + 86 - 288 - 2*x + 43. -2*x Collect the terms in -19541*a**3 + 3419*a**3 + 16141*a**3. 19*a**3 Collect the terms in -1516*r**3 - r**2 + 3*r**2 + 793*r**3 + 750*r**3 - 4*r**2 + 2*r**2. 27*r**3 Collect the terms in 564*l + 123*l + 567*l - 1230*l. 24*l Collect the terms in 6*q**3 + 1931*q
{ "pile_set_name": "DM Mathematics" }
2 + 9*j - 11. Let a be z(7). Suppose 0 = -a*i + 3*f + 63525, 4 = 5*f + 24. Is i prime? False Suppose 0 = -14*j + 19 + 23. Suppose 2*x - 5158 = -d, 0 = 2*x + j*x - 5*d - 12925. Is x a composite number? True Let s = -124338 - -198284. Is s a prime number? False Let z(v) = 2*v + 929. Let d(o) be the second derivative of o**3/6 - 9*o. Let y(t) = d(t) + z(t). Is y(0) prime? True Let a(s) = 2*s**3 + 7*s**2 + 45*s + 10. Let x be a(22). Is (x/(-10))/((-8)/20) prime? True Let s be (4 - 3)/((-44)/14 + 3). Is (-31547)/s + 18/63 a prime number? True Let a = -424 - -459. Let k = a - -263. Is k a composite number? True Suppose 20*c = -4*d + 16*c + 589496, 4*d - 589520 = 4*c. Is d composite? False Let g(o) be the second derivative of 223*o**3/6 + 10*o**2 + 29*o. Let v be g(-6). Let w = v + 2213. Is w a prime number? False Suppose -49621 = -3*a - 4*o, -82699 = -4*a - a - 4*o. Suppose 0 = -3*g + 4*g - a. Suppose -3932 = 7*p - g. Is p composite? False Let u(a) = a**3 + 27*a**2 + 28*a - 20. Let p be u(-27). Let i = 1035 - p. Is i prime? True Let g = -9325 - -1728. Let n = 4318 - g. Is n composite? True Suppose 5 = -23*k - 202. Is -7093*(k + 5 - -3) a prime number? False Suppose 0 = -46*g + 1930525 + 3841555. Suppose g = 13*s - 81285. Is s composite? True Suppose -33*j = -26*j - 345443. Is j prime? False Suppose 4*b - 86 = 2*h, -2*b + 5*b - 67 = h. Suppose 2*a = 0, 5*u = 3*u - a + b. Is u/(-78) - (14965/13)/(-1) a prime number? True Suppose -4*y + 4 = 0, 2*s = -5*y + 1283672 + 30517. Is s/20 + 8/20 composite? True Let o(b) = 177726*b**2 + 12*b + 41. Is o(-2) a prime number? False Let f(u) = u**2 - 21*u + 55. Let h be f(18). Let q be ((-2)/(-3))/(h - 2)*-14358. Let m = -4887 + q. Is m a prime number? False Suppose -4*x + 78 = 3*k, -3*k + x = -x - 78. Suppose 5*z + 64 = -k. Is (8/6)/(z/(-81)) a composite number? True Suppose -5*g - 4*i + 548187 = 0, 5*g - i = 748096 - 199899. Is g a composite number? False Let v(d) = -1048 - 5*d**2 - 10*d**3 - d**2 + 4*d**3 + 5*d - 4*d. Let n(b) = -b**3 - b**2 - 1. Let r(f) = 5*n(f) - v(f). Is r(0) composite? True Let u = 4062 - 2104. Let h = 4537 - u. Is h a composite number? False Is ((-4184)/(-12))/(4/1266) composite? True Suppose -13*p + 10*p - 3*x = -55863, -4*p + x = -74464. Is p composite? False Let z(c) = 14913*c**2 + 83*c + 165. Is z(-2) a prime number? True Suppose -q - 2*q + 25 = -2*l, -5*l = 4*q + 5. Suppose 5*d - 4549 = 4*s - s, -q*s = -d + 901. Let p = 2052 - d. Is p a composite number? True Let d(f) = 14*f**2 + f**2 + 12*f**2 + 4*f - 14*f**2 - 1. Let n be d(3). Suppose -375 = -u - n. Is u a prime number? False Let b be (-6 + 6 - -3) + -3254. Let w = 9356 - b. Is w composite? True Let x = 5416 - -23043. Is x a composite number? True Suppose -4*y - 5*x + 218968 = 0, -85*y + 83*y + 109494 = 5*x. Is y prime? False Is (-1122816)/(-5) - ((-182)/1820 - (-6)/20) composite? False Let r(f) = -193*f + 179. Suppose 11*k + 30 = -58. Is r(k) composite? False Suppose s + 5*x - 15 = 12, -5*x - 61 = -3*s. Suppose 2*v + s*p - 20*p - 33430 = 0, -5*p = -5*v + 83535. Is v prime? False Suppose 0 = 3*a - 5*q + 37, 5*a + 6*q = 2*q. Is (59/(-3))/((a/(-762))/(-2)) a composite number? True Let n(v) = 182*v + 23 + 16 - 93*v + 12. Is n(8) a composite number? True Let v = -5 - 4. Is 4*1538 - (11 - v)/(-4) a prime number? False Let a(h) = -159*h**3 + 8*h**2 - 11*h - 31. Let f(m) = 2*m**3 - m**2 + 1. Let u(g) = a(g) + 6*f(g). Is u(-6) prime? False Let x(f) = -3*f**3 + 148*f**2 + 27*f + 19. Is x(29) a prime number? True Let m(n) be the third derivative of n**5/60 + 7*n**4/24 + n**3/6 + 3*n**2 + 10. Suppose -6*t - 36 = -2*t. Is m(t) a prime number? True Let s = 1174749 - 351532. Is s composite? True Let i = -2587 + 8351. Suppose -7*k = -10*k - 9, 3*k = 5*h - i. Is h a composite number? False Let t(v) = -6 + 10*v**2 - 36*v**3 + 6*v - 44*v**3 + 43*v**3 - 1. Is t(-10) a composite number? True Let t be 2*(1 - 780/(-8)). Let v = t + 80. Suppose 4*k + 0*k - 4*r = 504, 2*k + 3*r - v = 0. Is k a composite number? False Suppose 10 = 2*a, -2*a + 5479 = 10*s - 9*s. Suppose 5*k = -2*u - 888 + 4534, 3*u = -3*k + s. Is u a composite number? False Let j(r) = -8 + 43*r**2 - 6*r - 29*r**2 - 15*r**2 - 34*r**3. Is j(-5) a composite number? True Let l = 13801 - -31060. Is l prime? False Let n = -66 - -64. Is (144/2)/(3 + n) - 3 prime? False Let s(d) be the second derivative of -25*d**3/6 - 19*d**2 + 2*d. Suppose 11*i + 8 = -25*i - 388. Is s(i) a prime number? False Suppose -7*f + 1616 = -771. Let c = f + -151. Let w = c - -957. Is w prime? False Let s be (-29 - -14)*(-1)/(-3). Let g be (-2 - 12/(-5))/((-1)/s). Suppose -618 = -2*y - 3*d + 8*d, 0 = g*y + 4*d - 636. Is y a prime number? False Suppose 78070839 + 32691896 = 85*a. Is a a composite number? False Let o(z) = 370*z + 1309. Is o(136) prime? False Let z = 349 + -348. Suppose 0 = 2*i - z - 1, -2*j + 39886 = -4*i. Is j a composite number? True Suppose -156*m = -154*m + 274. Let u = 391 + m. Is u composite? True Let o(x) = 411*x**3 + 18*x**2 - 60*x + 8. Let p be o(5). Let q = p + -20442. Is q composite? False Let q(m) = -m**2 + 13*m - 33. Let x be q(6). Suppose g = x*g - 169064. Is g prime? False Let r = 249 + -247. Suppose -3*z - r*g = -13781, -5*z = -5*g + 4*g - 22977. Is z a prime number? False Suppose -4*s = 3*y - 8, 1 = 8*s - 9*s. Suppose 0 = -5*c - 2*r + y, -5*r + r = -8. Is ((-5649)/(-9) - c)/((-1)/(-3)) a composite number? True Let v(d) be the second derivative of 11*d**5/20 + d**4/3 - d**3 + 4*d**2 + 32*d + 3. Is v(7) a prime number? False Suppose -25*g - 1472 = -27*g. Suppose 3*z + 3*r - 1092 = 0, -1463 = -5*z + z + 3*r. Let n = z + g. Is n prime? False Suppose -9*h - 1 = -10. Is (-6)/9*-13686 + 3/h prime? True Let q(p) = -p**3 + 6*p**2 + 11*p - 12. Let u be q(7). Let d(r) = -r**3 + 17*r**2 + 13*r + 23. Let x be d(u). Let t = 894 - x. Is t composite? True Let p = 339320 - 164941. Is p a composite number? True Suppose 0 = -4*g + g + 24. Suppose 17*u - 1413 = g*u. Is u a prime number? True Is (197641 - (13 + -8))*2/8 a composite number? False Let o(h) = 3*h**3 - 1. Let g(x) = -14*x**3 + 17*x**2 - 12*x + 14. Let w(r) = g(r) + 6*o(r). Is w(7) a composite number? False Is -5 + ((-72)/(-42))/(2/342678) prime? False Is 14734 + (-1 - 12/(-3)) - -4 a composite number? False Let t(h) = 2*h**2 + 12*h - 17. Let r(c) = c**3 - 6*c**2 + 2*c + 5. Let k be r(4). Let b = -31 - k. Is t(b) a composite number? False Let j = -16 + -25. Let z = j + 34. Let n(s) = -s**3 - 6*s**2 - 6*s - 6. Is n(z) prime? False Let q = 9 + -13. Let u(b) be the third derivative of 13*b**5/60 + b**4/4 + b**3/6 + 2*b**2 + 555*b. Is u(q) composite? True Let m be (-1)/(1178/392 - 3). Let p = -114 - m. Suppose 28*g + p = 29*g. Is g a composite number? True Let m = 92 + -91. Is (-32154)/(-23) + m + 0 a composite number? False Let z(j) = 2*j**3 + 25*j**2 + 3*j - 80. Let g be z(-12). Is (-4)/(-14) - (-330924)/g a composite number? True Let m be 8213 + 5/(-7) + 4/(-14). Let a = m - 258. Suppose 0 = 4*d + 30 - a. Is d a prime number? False Let y be 3 + 0 - (3 + -3). Suppose 3 = 4*q - q - 3*m, -5*q + 7 = -y*m. Suppose c - 243 = -q*t, -6*t + 2*t - 20 = 0. Is c a composite number? True Let w(q) = 1464*q - 563. Is w(4) a prime number? False Suppose -7*r = -12*r + 90. Is (6 + (-102)/r)*17277 composite? True Let m be -7*6/147 - (-23)/7. Suppose -m*f - 150 = -n - 39605, -2*n + 39467 = 3*f. Is f prime? False Let l be ((-185)/(-15))/(2 + 94/(-48)). Let c = -15 - 47. Let i = l - c. Is i a composite number? True Let b be (620/4)/(6 + -6 + -1). Is 150*b/(-40) + (-2)/8 prime? False Let m(o) = 12*o**2 + 7*o + 11. Let p be m(7). Let g = p + 1884. Suppose 0*t = -4*t + g. Is t a composite number? True Suppose 4*p = -p + 5*n + 70, 4*p - 59 = 5*n. Let s(u) = 893*u - 30. Is s(p) prime? False Let g(j) = -707*j - 131. Suppose 14 + 4 = -3*y. Is g(y) a prime number? True Let i = 89 - 87. Suppose -3*o = -5*n + 2*o + 6020, -4*n + i*o = -4810. Is n composite? False Suppose -16*l = -17*l + 4, 4*l = -4*x + 120. Is (1193 + 0)/(13/x) prime? False Suppose -6*r + 30 = -0. Let p be (28 - 3)/r + -2. Suppose -3*u - u = 5*c - 851, -p*c + 845 = 4*u. Is u prime? False Let u(p) = -p**2 - 1. Let s(x) = -45*x**2 - x + 6. Let b(n) = -s(n) - 4*u(n). Let c be b(1). Suppose -c*a = -44*a - 524. Is a p
{ "pile_set_name": "DM Mathematics" }
6? 505 Calculate the remainder when 23046679 is divided by 14. 5 What is the remainder when 43846506 is divided by 49996? 14 What is the remainder when 8033788 is divided by 422826? 94 What is the remainder when 538241 is divided by 3147? 104 Calculate the remainder when 27761048 is divided by 26264. 0 What is the remainder when 804103 is divided by 3046? 3005 What is the remainder when 1038797 is divided by 282? 191 Calculate the remainder when 201425288 is divided by 326. 320 Calculate the remainder when 17675855 is divided by 376082. 1 Calculate the remainder when 4733416 is divided by 70. 16 Calculate the remainder when 36861610 is divided by 18. 4 What is the remainder when 1788672 is divided by 148979? 924 What is the remainder when 1791254 is divided by 2279? 2239 What is the remainder when 60702 is divided by 1398? 588 Calculate the remainder when 280772 is divided by 1205. 7 What is the remainder when 3869621 is divided by 4996? 2717 Calculate the remainder when 7773 is divided by 2320. 813 What is the remainder when 28115772 is divided by 45? 42 What is the remainder when 1436362 is divided by 290? 282 Calculate the remainder when 303583 is divided by 261. 40 What is the remainder when 26910651 is divided by 164? 55 What is the remainder when 28984 is divided by 6783? 1852 Calculate the remainder when 845140 is divided by 8453. 8293 What is the remainder when 14961987 is divided by 189? 180 What is the remainder when 516823 is divided by 4193? 1084 Calculate the remainder when 11812390 is divided by 8835. 8830 Calculate the remainder when 21847596 is divided by 10923789. 18 What is the remainder when 23520207 is divided by 178? 177 Calculate the remainder when 220422 is divided by 7578. 660 Calculate the remainder when 640931 is divided by 29132. 27 Calculate the remainder when 522133 is divided by 647. 4 What is the remainder when 3132268 is divided by 313226? 8 Calculate the remainder when 1828373 is divided by 130498. 1401 What is the remainder when 15806747 is divided by 198? 11 What is the remainder when 70854463 is divided by 944726? 13 What is the remainder when 37563518 is divided by 1977026? 24 Calculate the remainder when 9871198 is divided by 80. 78 What is the remainder when 102946098 is divided by 4850? 4848 Calculate the remainder when 20682 is divided by 163. 144 Calculate the remainder when 31939 is divided by 4. 3 What is the remainder when 5853789 is divided by 27743? 16 What is the remainder when 97822 is divided by 32543? 193 Calculate the remainder when 1306479 is divided by 3148. 59 What is the remainder when 22036 is divided by 10671? 694 What is the remainder when 183194 is divided by 2927? 1720 What is the remainder when 27456805 is divided by 3922399? 12 Calculate the remainder when 815842 is divided by 203807. 614 What is the remainder when 95071 is divided by 19001? 66 What is the remainder when 407058 is divided by 4075? 3633 Calculate the remainder when 139931 is divided by 3578. 389 Calculate the remainder when 6034 is divided by 683. 570 Calculate the remainder when 8517874 is divided by 274770. 4 What is the remainder when 1834552 is divided by 611515? 7 What is the remainder when 1179221946 is divided by 545? 541 What is the remainder when 212876 is divided by 65? 1 Calculate the remainder when 77544 is divided by 34608. 8328 Calculate the remainder when 1722080 is divided by 15. 5 What is the remainder when 4484041 is divided by 28? 9 What is the remainder when 316544 is divided by 13? 7 Calculate the remainder when 22785000 is divided by 428. 420 Calculate the remainder when 2357750 is divided by 2918. 6 Calculate the remainder when 15790 is divided by 2458. 1042 What is the remainder when 1272897 is divided by 423927? 1116 Calculate the remainder when 829123 is divided by 59223. 1 Calculate the remainder when 1181967607 is divided by 184. 183 Calculate the remainder when 699016 is divided by 4093. 3206 Calculate the remainder when 3400234 is divided by 511. 40 Calculate the remainder when 581662 is divided by 508. 2 Calculate the remainder when 16626624 is divided by 20. 4 What is the remainder when 939548 is divided by 117439? 36 What is the remainder when 125185786 is divided by 59? 58 What is the remainder when 3917327 is divided by 30? 17 Calculate the remainder when 1368231 is divided by 1214. 53 Calculate the remainder when 441422 is divided by 1177. 47 What is the remainder when 875315 is divided by 6336? 947 What is the remainder when 83112 is divided by 7480? 832 Calculate the remainder when 191459 is divided by 95669. 121 What is the remainder when 56083365 is divided by 12? 9 Calculate the remainder when 1902895 is divided by 399. 64 What is the remainder when 148326 is divided by 6727? 332 What is the remainder when 34288 is divided by 4489? 2865 Calculate the remainder when 4708406 is divided by 43. 35 What is the remainder when 1172895 is divided by 46915? 20 What is the remainder when 356971 is divided by 59492? 19 What is the remainder when 4247166 is divided by 3300? 66 What is the remainder when 1301250419 is divided by 1860? 1859 Calculate the remainder when 18895 is divided by 1. 0 Calculate the remainder when 4649824 is divided by 498. 496 Calculate the remainder when 20901915 is divided by 178. 87 What is the remainder when 458198 is divided by 76227? 836 Calculate the remainder when 130757 is divided by 130065. 692 Calculate the remainder when 190919654 is divided by 77. 2 What is the remainder when 709239 is divided by 10? 9 What is the remainder when 725805 is divided by 4393? 960 What is the remainder when 34329 is divided by 16157? 2015 Calculate the remainder when 53602 is divided by 2160. 1762 Calculate the remainder when 7304 is divided by 7180. 124 What is the remainder when 534600 is divided by 534587? 13 Calculate the remainder when 4899834 is divided by 1886. 6 What is the remainder when 122594176 is divided by 1447? 1442 What is the remainder when 571273 is divided by 19699? 2 What is the remainder when 39323 is divided by 17614? 4095 What is the remainder when 542399 is divided by 1010? 29 Calculate the remainder when 1007602 is divided by 10076. 2 Calculate the remainder when 22025 is divided by 7306. 107 Calculate the remainder when 11704470 is divided by 77. 8 What is the remainder when 374762 is divided by 16269? 575 What is the remainder when 537603 is divided by 1150? 553 Calculate the remainder when 1080318 is divided by 358043. 6189 What is the remainder when 682974 is divided by 82? 78 Calculate the remainder when 494399 is divided by 23. 14 Calculate the remainder when 989059 is divided by 539. 533 What is the remainder when 189100 is divided by 184520? 4580 What is the remainder when 9132613 is divided by 11? 6 What is the remainder when 18557406 is divided by 873? 45 What is the remainder when 12032 is divided by 11754? 278 Calculate the remainder when 7494987 is divided by 557. 552 What is the remainder when 99073 is divided by 2749? 109 Calculate the remainder when 27261 is divided by 5871. 3777 What is the remainder when 39726 is divided by 4514? 3614 Calculate the remainder when 1710062 is divided by 7880. 102 Calculate the remainder when 7166 is divided by 29. 3 Calculate the remainder when 118125 is divided by 84. 21 What is the remainder when 836378 is divided by 28838? 76 What is the remainder when 21771456 is divided by 16296? 0 What is the remainder when 6878422 is divided by 392? 390 What is the remainder when 116162 is divided by 82? 50 Calculate the remainder when 278727 is divided by 30. 27 What is the remainder when 696938 is divided by 63357? 11 What is the remainder when 1389831 is divided by 694910? 11 Calculate the remainder when 3494432 is divided by 10400. 32 Calculate the remainder when 5722149 is divided by 104039. 4 Calculate the remainder when 12578 is divided by 1532. 322 Calculate the remainder when 83672752 is divided by 473. 471 What is the remainder when 989985 is divided by 320? 225 Calculate the remainder when 365164 is divided by 365163. 1 Calculate the remainder when 6947444 is divided by 48. 20 What is the remainder when 6566786 is divided by 4340? 366 What is the remainder when 2667568 is divided by 32138? 114
{ "pile_set_name": "DM Mathematics" }
t 2*p**4/3 - 5938*p**3/3 + 366496*p**2/3 - 986840*p/3 - 1162400 = 0. -2, 5, 60, 2906 Factor -w**3 + 197098*w**2 - 2365068*w + 7095096. -(w - 197086)*(w - 6)**2 Find g such that -4*g**4/11 - 17005790*g**3/11 - 18074818599594*g**2/11 - 27112198139266*g/11 - 9037396545458/11 = 0. -2125723, -1, -1/2 Let -2*f**2 - 535958*f + 30556104 = 0. What is f? -268036, 57 Let 1574*u**3/7 - 632740*u**2/7 + 9083994*u + 323208/7 = 0. Calculate u. -4/787, 201 Factor 4*y**2 + 278766672*y + 4856928588622224. 4*(y + 34845834)**2 Factor 1524409*m**3/3 - 1016274*m**2 + 508139*m - 4/3. (m - 1)**2*(1524409*m - 4)/3 Determine h so that -38*h**2/11 - 7706*h/11 + 1953924/11 = 0. -6646/19, 147 Find z such that -z**2/3 + 1182746*z/3 + 394249 = 0. -1, 1182747 Factor -2*x**2 - 415648504*x - 21595459859679752. -2*(x + 103912126)**2 Determine l, given that -3*l**5/4 + 2919*l**4/4 - 8721*l**3/2 + 17421*l**2/2 - 29019*l/4 + 8703/4 = 0. 1, 3, 967 Let 3*f**2/4 + 32151*f/4 + 18868809 = 0. What is f? -7244, -3473 Find y such that 2*y**4/5 - 77304*y**3/5 + 540964*y**2/5 + 510168*y - 2086830 = 0. -5, 3, 9, 38645 Factor -4*j**3 + 174200*j**2 + 43386112*j + 2693752192. -4*(j - 43798)*(j + 124)**2 Factor -3*i**3 + 72474*i**2 + 8291277*i + 236579184. -3*(i - 24272)*(i + 57)**2 Solve 1327*j**2/3 - 88907*j - 402 = 0 for j. -6/1327, 201 Solve 2*u**2/15 - 11647064*u/15 + 16956762477512/15 = 0. 2911766 Find l, given that 3*l**5/4 - 57*l**4 + 3123*l**3/4 + 339*l**2/2 - 2235*l - 1566 = 0. -1, 2, 18, 58 Determine w so that -3*w**4/4 - 1545*w**3/2 + 27957*w**2 + 1545*w/2 - 111825/4 = 0. -1065, -1, 1, 35 Let 3*n**2/2 - 5126529*n/2 - 43575930 = 0. What is n? -17, 1708860 Determine z, given that -4*z**3/5 - 48128*z**2/5 - 2061932*z/5 + 2110064/5 = 0. -11989, -44, 1 What is h in h**5/3 - 75691*h**4/3 + 554953*h**3 - 10669549*h**2/3 + 16647280*h/3 - 2522300 = 0? 1, 10, 75669 Determine k so that 3*k**3 - 4670256*k**2 + 9340503*k - 4670250 = 0. 1, 1556750 Solve -2*u**2/5 + 1567312*u/5 + 4701954/5 = 0 for u. -3, 783659 Solve -5*r**3 + 725289570*r**2 - 26302248017539245*r = 0. 0, 72528957 Suppose -3*n**2 - 177246618*n - 2618030299369827 = 0. Calculate n. -29541103 Factor -h**5/6 - 44161*h**4/3 + 176650*h**3/3 - 58884*h**2. -h**2*(h - 2)**2*(h + 88326)/6 Solve -3*i**3 - 1102752*i**2 + 24261996*i = 0. -367606, 0, 22 Determine k so that -2*k**4/5 - 490174*k**3 + 22057994*k**2/5 + 490174*k - 22057992/5 = 0. -1225444, -1, 1, 9 Find g, given that 3*g**2 - 24184443*g + 24184440 = 0. 1, 8061480 Solve 2*a**5/13 + 9520*a**4/13 + 849384*a**3/13 - 1746388*a**2/13 - 849386*a/13 + 1736868/13 = 0 for a. -4669, -93, -1, 1, 2 Solve 1372*m**2 + 56860*m - 91848 = 0 for m. -43, 534/343 Solve -20*o**4 + 4528*o**3 - 123984*o**2 + 951296*o - 1442560 = 0. 2, 10, 92/5, 196 Factor 5*t**2 + 23778940*t - 142673820. 5*(t - 6)*(t + 4755794) Find l, given that 4*l**5/9 + 110864*l**4/9 - 777820*l**3/3 - 98554336*l**2/9 - 901877504*l/9 - 284026880 = 0. -27737, -8, 45 What is p in p**4 - 133914*p**3 + 803460*p**2 - 1606904*p + 1071264 = 0? 2, 133908 Factor u**3 + 38182*u**2 + 33989327*u - 34027510. (u - 1)*(u + 913)*(u + 37270) Let -l**5 + 3711*l**4 - 92174*l**3 + 88464*l**2 = 0. Calculate l. 0, 1, 24, 3686 Factor k**5/5 - 125837*k**4/5 + 75501*k**3 - 377503*k**2/5 + 125834*k/5. k*(k - 125834)*(k - 1)**3/5 What is z in -2*z**4/3 - 2576*z**3/15 - 3458*z**2/15 + 163076*z/15 - 21504/5 = 0? -256, -9, 2/5, 7 Factor 4*v**2 + 341400*v + 43633664. 4*(v + 128)*(v + 85222) Solve -54*a**4 + 6446211*a**3 + 11101944*a**2 + 2865039*a - 1790640 = 0 for a. -1, 5/18, 119376 Factor 5*m**3 + 1830*m**2 - 370475*m. 5*m*(m - 145)*(m + 511) Factor 2*f**3 + 68042*f**2 - 2792724*f + 12262320. 2*(f - 36)*(f - 5)*(f + 34062) Find a, given that 906*a**3 - 95128*a**2/5 + 407658*a/5 + 36 = 0. -1/2265, 6, 15 What is n in 2*n**4/9 + 33818*n**3/9 - 372820*n**2/3 - 4879592*n/9 - 5014832/9 = 0? -16942, -2, 37 Factor 3*z**4 - 116125710*z**3 + 1123765043583675*z**2. 3*z**2*(z - 19354285)**2 Factor -4*a**3/7 + 44*a**2 + 2720*a/7. -4*a*(a - 85)*(a + 8)/7 Suppose -4*s**3/3 + 1361*s**2 - 495860*s/3 + 123200 = 0. Calculate s. 3/4, 140, 880 What is a in -4*a**4/7 - 7876*a**3/7 + 167976*a**2/7 + 1622944*a/7 - 254720 = 0? -1990, -8, 1, 28 Determine w, given that -578*w**5 - 353294*w**4 - 7244524*w**3 - 1689928*w**2 - 99120*w = 0. -590, -21, -2/17, 0 Let 2*m**4/19 - 18362*m**3/19 + 3864*m**2 = 0. Calculate m. 0, 4, 9177 Solve -5*b**4 - 3026990*b**3 - 610848599940*b**2 - 41090970820876200*b - 164354109899631840 = 0. -201798, -4 Factor 388*u**2/5 - 2049796*u/5 - 42264/5. 4*(u - 5283)*(97*u + 2)/5 Let -w**5 - 18231*w**4 + 145971*w**3 + 1075963*w**2 - 2516910*w + 1313208 = 0. Calculate w. -18239, -6, 1, 12 Factor -2*x**2/9 + 110164*x/9 - 48626930/9. -2*(x - 54637)*(x - 445)/9 Factor -4*w**2 + 188648*w - 2828820. -4*(w - 47147)*(w - 15) Factor 4*w**3 - 178736164*w**2 + 1996663430721596*w + 1996663609457764. 4*(w - 22342021)**2*(w + 1) Let g**5/7 - 1607*g**4/7 - 44022*g**3/7 - 22396*g**2 - 150328*g/7 = 0. Calculate g. -23, -2, 0, 1634 Factor 3*j**3 - 129147*j**2 + 159893901*j - 50225965461. 3*(j - 41783)*(j - 633)**2 Let -2*z**3/9 + 3046*z**2/9 + 1006324*z - 2014000 = 0. What is z? -1500, 2, 3021 Factor 9*a**2/2 - 222691*a/6 + 313310/3. (a - 8245)*(27*a - 76)/6 Factor g**2/3 + 156123*g. g*(g + 468369)/3 Let -3*b**2 - 19674678*b - 32257746200307 = 0. What is b? -3279113 Suppose -591082765562*k**4 + 3560872123776*k**3 - 86369723280*k**2 + 699560064*k - 1889568 = 0. What is k? 54/6661, 6 Solve 12292036*k**4/5 - 2096588*k**3 - 1742532*k**2/5 - 66564*k/5 = 0. -129/1753, 0, 1 Solve -z**5/4 - 21067*z**4 - 421273*z**3 - 2780264*z**2 - 6739904*z - 5391872 = 0. -84248, -8, -2 Solve 18*l**4/13 - 16006*l**3/13 - 2984660*l**2/13 - 11031632*l/13 + 2599040/13 = 0 for l. -155, -4, 2/9, 1048 Factor -3*y**4/8 - 543723*y**3/4 - 815571*y**2. -3*y**2*(y + 6)*(y + 362476)/8 Determine o so that -2*o**5 + 8006*o**4 - 87748*o**3 - 304064*o**2 + 2683200*o - 2299392 = 0. -6, 1, 4, 12, 3992 Suppose -4*l**2 + 61139440*l + 122278896 = 0. What is l? -2, 15284862 Solve 2*o**2/17 - 1575398*o/17 = 0 for o. 0, 787699 Suppose g**2/2 + 166353*g - 998127/2 = 0. Calculate g. -332709, 3 Factor -3*r**3/5 + 72016167*r**2/5 - 72016164*r/5. -3*r*(r - 24005388)*(r - 1)/5 Suppose -4*m**5 + 1304*m**4 + 8092*m**3 - 41024*m**2 - 47808*m = 0. Calculate m. -9, -1, 0, 4, 332 Solve -y**3/4 - 345*y**2 + 65875*y = 0 for y. -1550, 0, 170 Suppose 664*b**5 - 665*b**4 - 34527*b**3 + 106292*b**2 - 160*b = 0. Calculate b. -8, 0, 1/664, 4, 5 Suppose 4*u**2 + 2862320*u + 512054736400 = 0. Calculate u. -357790 Factor 5*c**3 - 2778635*c**2 - 16671945*c - 25007985. 5*(c - 555733)*(c + 3)**2 Determine x, given that 3*x**3/2 + 41724831*x**2/2 + 145080105969129*x/2 - 145080147693963/2 = 0. -6954139, 1 Factor 4*u**3 + 1992668*u**2 + 248163385404*u - 1737241339932. 4*(u - 7)*(u + 249087)**2 Determine h, given that 22*h**4 + 140508*h**3 - 8405258*h**2 + 2103048*h + 10648792 = 0. -6446, -1, 14/11, 59 Let -2*b**2/13 - 51676*b/13 + 155046/13 = 0. What is b? -25841, 3 Find p such that 3*p**2 - 1936911*p - 83292720 = 0. -43, 645680 Determine o so that -3*o**3/4 + 712425*o**2/4 - 5699181*o/4 - 6411609/4 = 0. -1, 9, 237467 Let -r**4/3 - 25522*r**3/3 - 484516*r**2/3 + 348534*r - 178521 = 0. What is r? -25503, -21, 1 Determine b so that 2*b**5/5 - 344*b**4/5 - 23394*b**3 + 47128*b**2 + 116968*b/5 - 235296/5 = 0. -172, -1, 1, 2, 342 Factor 4*s**3 + 872*s**2 - 322668*s - 35473536. 4*(s - 249)*(s + 96)*(s + 371) Solve 3*p**5/5 - 504*p**4/5 - 1914*p**3 + 481464*p**2/5 - 4969593*p/5 + 3166776 = 0 for p. -40, 9, 181 Suppose -s**3 - 2691884*s**2 - 10767524*s - 10767520 = 0. What is s? -2691880, -2 Factor -w**2 - 14087818*w - 49616654000281. -(w + 7043909)**2 Find k such that k**3/8 - 45*k**2/8 - 22833*k/4 - 34020 = 0. -189, -6, 240 Factor -o**2 + 1084161*o + 2168326. -(o - 1084163)*(o + 2) Solve 2*d**2 + 53300*d - 10902318 = 0. -26853, 203 Factor -3*d**3 + 216531*d**2 - 1515516*d - 3897180. -3*(d - 72170)*(d - 9)*(d + 2) Find g such that g**5 - 184*g**4 - 415*g**3 + 8038*g**2 - 7440*g = 0. -8, 0, 1, 5, 186 What is c in 5*c**5 + 1725*c**4 + 131075*c**3 - 1725*c**2 - 131080*c = 0? -232, -113, -1, 0, 1 Factor -2*d**3/9 - 153878*d**2/9 - 43580368*d/9 - 3091342840/9. -2*(d + 142
{ "pile_set_name": "DM Mathematics" }
hat is prob of sequence xyx? 1/126 What is prob of sequence izbb when four letters picked without replacement from ibhiizhibbbihziibhh? 35/11628 Four letters picked without replacement from ssshthtttetsh. Give prob of sequence ehhs. 1/715 Two letters picked without replacement from {c: 1, d: 1, r: 1}. What is prob of sequence rd? 1/6 Calculate prob of sequence syzs when four letters picked without replacement from {s: 3, y: 7, z: 8}. 7/1530 Four letters picked without replacement from {i: 5}. What is prob of sequence iiii? 1 Two letters picked without replacement from gagnj. Give prob of sequence ag. 1/10 Four letters picked without replacement from {u: 3, o: 7, m: 2, j: 1, t: 4}. What is prob of sequence omuj? 1/1360 Four letters picked without replacement from {u: 9, s: 2, c: 8}. Give prob of sequence csus. 1/646 Four letters picked without replacement from {h: 1, n: 1, t: 3, v: 9}. Give prob of sequence ttnv. 9/4004 Four letters picked without replacement from {y: 1, l: 2, o: 1, e: 3, f: 2, k: 3}. What is prob of sequence eolk? 1/660 Calculate prob of sequence bbb when three letters picked without replacement from {p: 5, h: 7, a: 2, b: 4}. 1/204 Two letters picked without replacement from {u: 3, w: 1, e: 1}. What is prob of sequence ue? 3/20 Two letters picked without replacement from {z: 3, l: 7}. Give prob of sequence zl. 7/30 Two letters picked without replacement from {w: 1, l: 1, s: 1, t: 1, u: 1}. What is prob of sequence st? 1/20 What is prob of sequence roo when three letters picked without replacement from qrrqqoqoqoqo? 1/55 What is prob of sequence wg when two letters picked without replacement from gigggiiswsgg? 1/22 What is prob of sequence ewe when three letters picked without replacement from eewmhmhwzmmzhmmmm? 1/1020 Three letters picked without replacement from {q: 2, z: 8}. What is prob of sequence zqq? 1/45 Three letters picked without replacement from jjxjjxx. Give prob of sequence xjj. 6/35 Three letters picked without replacement from wzzzzzzzzzzzzzzzwwzz. What is prob of sequence zzw? 34/285 Two letters picked without replacement from nnsnsnsnsnnnnnnnns. What is prob of sequence sn? 65/306 What is prob of sequence ycpc when four letters picked without replacement from {c: 5, y: 3, p: 3, g: 1}? 1/66 Three letters picked without replacement from bsjbkbjbb. What is prob of sequence jkb? 5/252 Calculate prob of sequence br when two letters picked without replacement from {r: 4, b: 7, q: 3}. 2/13 What is prob of sequence xyr when three letters picked without replacement from nnrnnrnnxyy? 2/495 What is prob of sequence gh when two letters picked without replacement from {h: 10, g: 2}? 5/33 Calculate prob of sequence qeeq when four letters picked without replacement from {e: 3, q: 8}. 7/165 Two letters picked without replacement from {f: 4, g: 2, o: 2, e: 1}. What is prob of sequence ff? 1/6 Two letters picked without replacement from {k: 1, q: 6, m: 2, j: 3}. What is prob of sequence jj? 1/22 Four letters picked without replacement from xxxxx. Give prob of sequence xxxx. 1 Calculate prob of sequence nx when two letters picked without replacement from {n: 2, x: 2}. 1/3 Two letters picked without replacement from {e: 1, c: 3, g: 1, o: 1, s: 1}. Give prob of sequence sg. 1/42 Four letters picked without replacement from ppxpppppxbsspp. What is prob of sequence pxxs? 3/2002 Three letters picked without replacement from pmpmmmmgmmmpmggmhpg. What is prob of sequence hgg? 2/969 What is prob of sequence bb when two letters picked without replacement from bqzbbzztfff? 3/55 Two letters picked without replacement from bybbbaxabbbbbxbibb. What is prob of sequence ai? 1/153 What is prob of sequence grg when three letters picked without replacement from gurxuruurguuur? 1/273 Three letters picked without replacement from {i: 3, z: 3, l: 2}. Give prob of sequence lzi. 3/56 Three letters picked without replacement from qqzswfzwqsqwqqqsffw. What is prob of sequence wws? 2/323 Three letters picked without replacement from kllllllllk. What is prob of sequence kkl? 1/45 What is prob of sequence jfz when three letters picked without replacement from {f: 1, j: 1, z: 2}? 1/12 Four letters picked without replacement from ggagagagauaaagugaa. Give prob of sequence uaua. 1/510 Three letters picked without replacement from {j: 2, l: 9}. Give prob of sequence llj. 8/55 Calculate prob of sequence pa when two letters picked without replacement from awptaptu. 1/14 Calculate prob of sequence hogh when four letters picked without replacement from {g: 1, o: 1, h: 2, k: 3}. 1/420 What is prob of sequence mbs when three letters picked without replacement from bsgmxxmps? 1/126 Calculate prob of sequence mgxt when four letters picked without replacement from {x: 2, m: 3, t: 1, g: 1}. 1/140 What is prob of sequence pjmj when four letters picked without replacement from jpppjmppjppjpppjmpp? 5/969 What is prob of sequence sz when two letters picked without replacement from {s: 1, c: 3, v: 2, z: 1, d: 3}? 1/90 Calculate prob of sequence px when two letters picked without replacement from xxxxxpxcchphxhxxppx. 20/171 Three letters picked without replacement from {d: 1, u: 5, b: 4, l: 3}. What is prob of sequence dll? 1/286 Calculate prob of sequence lh when two letters picked without replacement from {l: 2, m: 2, h: 1, k: 1}. 1/15 Four letters picked without replacement from {t: 3, u: 1}. Give prob of sequence ttuu. 0 What is prob of sequence ggs when three letters picked without replacement from sgsssg? 1/15 Calculate prob of sequence jjb when three letters picked without replacement from gbbbgjjjjgjjj. 21/286 Calculate prob of sequence uu when two letters picked without replacement from {g: 8, u: 2}. 1/45 Three letters picked without replacement from kllokf. What is prob of sequence kfk? 1/60 Four letters picked without replacement from {d: 2, h: 1, a: 1, i: 1, z: 4}. What is prob of sequence zihd? 1/378 Two letters picked without replacement from {c: 1, p: 2, y: 2, z: 1, m: 1, a: 1}. Give prob of sequence ac. 1/56 Four letters picked without replacement from aaaagynggg. Give prob of sequence gygn. 1/420 Three letters picked without replacement from dwsdissskiiwir. Give prob of sequence kri. 1/546 Two letters picked without replacement from {b: 2, a: 4, o: 1, h: 5, d: 2, f: 1}. What is prob of sequence of? 1/210 What is prob of sequence gnzz when four letters picked without replacement from {v: 1, n: 1, z: 2, g: 2, f: 1, u: 1}? 1/420 Calculate prob of sequence xxxx when four letters picked without replacement from {x: 6, e: 2}. 3/14 Two letters picked without replacement from {m: 1, i: 3}. Give prob of sequence im. 1/4 Two letters picked without replacement from frnuwfawunwfu. Give prob of sequence aw. 1/52 Two letters picked without replacement from pwqpllp. What is prob of sequence qp? 1/14 Calculate prob of sequence orvv when four letters picked without replacement from {v: 2, c: 2, r: 4, o: 2}. 1/315 Three letters picked without replacement from wxddxdxdwdwwxw. What is prob of sequence xww? 10/273 Three letters picked without replacement from {x: 17, v: 1}. Give prob of sequence xxx. 5/6 Calculate prob of sequence lv when two letters picked without replacement from {c: 1, l: 1, j: 1, v: 2, k: 1, n: 1}. 1/21 What is prob of sequence ef when two letters picked without replacement from gefgmfvpffempg? 4/91 What is prob of sequence dsd when three letters picked without replacement from vsvkddodkddk? 1/66 Three letters picked without replacement from btiinci. What is prob of sequence ibc? 1/70 Two letters picked without replacement from {m: 1, w: 1, b: 11}. Give prob of sequence bb. 55/78 Calculate prob of sequence tiii when four letters picked without replacement from {i: 5, t: 14}. 35/3876 Three letters picked without replacement from {i: 11, z: 2, o: 7}. What is prob of sequence iii? 11/76 Three letters picked without replacement from {y: 3, o: 4, l: 4}. What is prob of sequence yll? 2/55 What is prob of sequence xxo when three letters picked without replacement from {u: 1, o: 5, x: 7}? 35/286 Two letters picked without replacement from ooooooooooooohooohoo. Give prob of sequence oh. 9/95 Two letters picked without replacement from llllllllvlll. Give prob of se
{ "pile_set_name": "DM Mathematics" }
227*o. o**2 - 542*o Collect the terms in 1 + 5*j + j - 5. 6*j - 4 Collect the terms in 2*m**2 + 9*m**2 - 7891 + 7891. 11*m**2 Collect the terms in -5 + 14*c**2 + 1 + 3. 14*c**2 - 1 Collect the terms in -53*d + 12*d - 37*d. -78*d Collect the terms in 0*d**3 + 44*d + 17*d - 4*d**3 - 14*d. -4*d**3 + 47*d Collect the terms in 5 - 282*x**2 + 279*x**2 - 6 + 1. -3*x**2 Collect the terms in 4 + 721*x**2 - 722*x**2 - 4. -x**2 Collect the terms in 5*d + 329 - 329. 5*d Collect the terms in -17*o**3 - 11*o**3 - 5*o**3 + 29*o**3. -4*o**3 Collect the terms in 5*b - b - 8 - 6*b + 8. -2*b Collect the terms in -8*l - 9*l - 5*l + 24*l. 2*l Collect the terms in -31*o**2 - 19*o**2 - 37*o**2 + 2*o. -87*o**2 + 2*o Collect the terms in 3 - 1 - 2 - 65*h**3 + 69*h**3. 4*h**3 Collect the terms in 13*k + 0*k - 7*k - 21*k**2. -21*k**2 + 6*k Collect the terms in 6*x + 22*x - 95*x - 104*x. -171*x Collect the terms in -2*d**3 + 6964*d**2 - 6964*d**2. -2*d**3 Collect the terms in 18*t**2 - 45*t**2 - 23*t**3 + 19*t**2 + 8*t**2. -23*t**3 Collect the terms in 4*p**3 + 35*p**2 + 42*p**2 - 77*p**2. 4*p**3 Collect the terms in 71*a**2 - 19*a**2 + 18*a**2. 70*a**2 Collect the terms in -34*y**2 - 32*y**2 + 64*y**2. -2*y**2 Collect the terms in j - 68*j**2 + 12 - 12. -68*j**2 + j Collect the terms in 6*n**3 - 3*n**2 + 29*n**2 - 26*n**2. 6*n**3 Collect the terms in 9*z + 0*z - 5*z - 5*z. -z Collect the terms in -117*j + 3*j**2 + 117*j. 3*j**2 Collect the terms in 37*k**3 + 12*k**2 - 12*k**2 - 38*k**3. -k**3 Collect the terms in 26*s - 80*s - s**3 - s**3 - 33*s. -2*s**3 - 87*s Collect the terms in -2*o**2 + 0*o - 2*o + 0*o. -2*o**2 - 2*o Collect the terms in -q**2 + 6*q**2 + 14*q**2 - 21*q**2 + 10*q**2. 8*q**2 Collect the terms in 16*j - 3308 + 3308. 16*j Collect the terms in -15*a**2 + 29 - 29 + 16*a**2. a**2 Collect the terms in 10*a**2 - 13*a**2 - 65*a**2. -68*a**2 Collect the terms in -1079*s**3 - 316*s**3 + 289*s**3. -1106*s**3 Collect the terms in -17 - 15 + 3*w + 11. 3*w - 21 Collect the terms in 50*n**3 + 43*n**3 - 88*n**3. 5*n**3 Collect the terms in -16 + 28*o**2 + 9 + 4. 28*o**2 - 3 Collect the terms in 114477*c**2 - c**3 - 57241*c**2 - 57236*c**2. -c**3 Collect the terms in -27*k**3 - 7*k + 7*k. -27*k**3 Collect the terms in r - 3 - 1 + 9 - 5. r Collect the terms in 9*o + 13 - 2*o - 3*o - 13. 4*o Collect the terms in 17*y**2 + 2 - 2. 17*y**2 Collect the terms in -17*l**2 + 13*l**2 + 10*l**2. 6*l**2 Collect the terms in -21*z - 11*z + 4*z. -28*z Collect the terms in 119*h - 231*h + h**2 + 112*h. h**2 Collect the terms in -28*y + 39*y + 88*y. 99*y Collect the terms in -2*w**3 + 9 + 9*w - 19 + 10. -2*w**3 + 9*w Collect the terms in 1069 + 2*y + 1063 - 2132. 2*y Collect the terms in -86*q**2 + 38*q**2 - 16*q**2. -64*q**2 Collect the terms in 25*m**3 + 3194*m**2 - 3194*m**2. 25*m**3 Collect the terms in -13*n + 2*n**2 - 3*n + n - 4*n. 2*n**2 - 19*n Collect the terms in -5 - 13*v + 5. -13*v Collect the terms in -198*x**2 + 30*x**2 - 566*x**2. -734*x**2 Collect the terms in -80*i + 17*i + 30*i + 32*i. -i Collect the terms in 59*y**2 - 120*y**2 + 59*y**2. -2*y**2 Collect the terms in -75 + 75 + 28*j. 28*j Collect the terms in 1 + 327*t**2 - 1 - 162*t**2 - 163*t**2. 2*t**2 Collect the terms in -r + 0*r + 4*r + 2*r. 5*r Collect the terms in -5427*n + 29 - 29 + 5428*n. n Collect the terms in 0 + 496*q**3 + 0. 496*q**3 Collect the terms in 0 - 32*b - 2 - 1565*b. -1597*b - 2 Collect the terms in -23*v**2 + 26*v**3 - 24*v**2 + 69*v**2 - 22*v**2. 26*v**3 Collect the terms in -420 - 65*g**2 + 62*g**2 + 420. -3*g**2 Collect the terms in 1 + 12*k + 0 + 10*k + 39*k. 61*k + 1 Collect the terms in 13*w - 19 + 19. 13*w Collect the terms in -489*c + 759*c - 1927*c. -1657*c Collect the terms in 14*w**2 + 55*w - 94*w + 39*w. 14*w**2 Collect the terms in x - 10*x - 12*x - x. -22*x Collect the terms in -9*v + 19*v - 11*v. -v Collect the terms in -203*q**2 + 105*q**2 + 99*q**2. q**2 Collect the terms in -379*s + 12*s**2 + 379*s. 12*s**2 Collect the terms in 20 - 20 + 11*n. 11*n Collect the terms in -19848 + 19848 + 9*x**2. 9*x**2 Collect the terms in 1 + 37*q - 3 + 3. 37*q + 1 Collect the terms in -105*j**2 + 6*j**2 + 2 - 4 + 4. -99*j**2 + 2 Collect the terms in -5*n**2 - 6*n**2 + 19*n**2 - 4*n**2 - 7*n**2. -3*n**2 Collect the terms in -2*n**3 - n**3 - 252*n**2 + 252*n**2. -3*n**3 Collect the terms in -2 + 21*p**2 - 11*p**2 + 14*p**2. 24*p**2 - 2 Collect the terms in 0*m + 3*m - 22*m**2 - 2*m. -22*m**2 + m Collect the terms in 4*a**3 + a + 6*a**3 + 16*a**3 + 28*a**3. 54*a**3 + a Collect the terms in p**3 + 5*p**3 - 5*p**3 + 2*p**3 + 2*p**3. 5*p**3 Collect the terms in 7*a**2 - 15*a**2 + 8*a**2 + 29*a**3. 29*a**3 Collect the terms in -2992*i + 2992*i - 22*i**2. -22*i**2 Collect the terms in 96*k**3 + 97*k**3 - 195*k**3. -2*k**3 Collect the terms in -1577 - 2*y**2 + 1577. -2*y**2 Collect the terms in 5 - f + 105 - 37 + 127. -f + 200 Collect the terms in -2*g**2 - 71 + 71. -2*g**2 Collect the terms in 253*w - 253*w - 6*w**3. -6*w**3 Collect the terms in 2*b - 3*b + 6*b + 6*b. 11*b Collect the terms in -11 + 41 - m - 30. -m Collect the terms in 7*x**3 - 3*x + 4*x + 4*x**2 - 4*x**2. 7*x**3 + x Collect the terms in 9 + s**2 + 3*s**2 + 5 - 10. 4*s**2 + 4 Collect the terms in -13*t - 2*t**2 + 33*t - 3*t - 17*t. -2*t**2 Collect the terms in 3744*c**2 + 3745*c**2 - 7487*c**2. 2*c**2 Collect the terms in 4*d - 22*d**2 - d - d. -22*d**2 + 2*d Collect the terms in 3*p**3 - 4*p - 5*p**3 + 4*p. -2*p**3 Collect the terms in q - 4*q - 12*q - 14*q. -29*q Collect the terms in 653 - 653 - 4*n. -4*n Collect the terms in -6*q + q - 7*q + 12*q - 12*q**3. -12*q**3 Collect the terms in 5*t - 5*t + 8*t. 8*t Collect the terms in -14*h**2 + 0*h + 3*h + 2*h + h. -14*h**2 + 6*h Collect the terms in 5*d**2 - 9*d**2 - 6*d**2 + 2*d**2. -8*d**2 Collect the terms in -611*p**3 - 1 + 1 + 309*p**3 + 307*p**3. 5*p**3 Collect the terms in 10*y - 10*y + 203*y**2 - 8*y**3 - 203*y**2. -8*y**3 Collect the terms in 406*q**2 + 415*q**2 - 830*q**2. -9*q**2 Collect the terms in 4*i**2 - 17*i**3 - 18*i**3 - 4*i**2. -35*i**3 Collect the terms in 3*c - 3 + 4*c + 8 - 7. 7*c - 2 Collect the terms in 10*s + 12*s - 25*s + 5*s + 5*s. 7*s Collect the terms in -30 + 30 - 11*c**3. -11*c**3 Collect the terms in -4*c + 2676 - 2676. -4*c Collect the terms in -4*d**2 - 21*d + 21*d + d**2. -3*d**2 Collect the terms in 13617 - 13617 - o**3. -o**3 Collect the terms in 27*k**2 + 29*k**2 - 82*k**2 + 30*k**2. 4*k**2 Collect the terms in s - 2*s + 4*s**2 + 29*s**2. 33*s**2 - s Collect the terms in 0 - 5*c - 2 + 2. -5*c Collect the terms in 336 - 677 + 341 - 14*x. -14*x Collect the terms in -39*n**3 + 82*n**3 + 28*n**3. 71*n**3 Collect the terms in -1 + 1 + 247*m - 245*m. 2*m Collect the terms in j**3 - 3*j**3 - 3*j**3 - 2*j**3. -7*j**3 Collect the terms in -89*n**2 - 99*n**2 + 196*n**2. 8*n**2 Collect the terms in 104*x - 171*x + 88*x. 21*x Collect the terms in 3 + 889*a**2 + 129*a**2 - 6. 1018*a**2 - 3 Collect the terms in -1509 + 3011 - 3*v**2 - 1502. -3*v**2 Collect the terms in -3*h**3 - 4*h**3 - 6*h**3. -13*h**3 Collect the terms in -8*p - 4*p + 18*p. 6*p Collect the terms in -2 + 2 + 382*n**3. 382*n**3 Collect the terms in 10*t**3 - 11*t**3 - 11*t**3 + 10*t**3. -2*t**3 Collect the terms in -4*o**3 + 5*o**3 - 12*o**3. -11*o**3 Collect the terms in -3 + 3 - 13*j + 31*j. 18*j Collect the terms in -5*v**3 - 54*v**2 - 58*v**2 + 112*v**2 + 3*v**3. -2*v**3 Collect the terms in -4*t**3 + 2*t**3 - t**3 + 162*t**2. -3*t**3 + 162*t**2 Collect the terms in 4*s**3 + 6*s**3 - 2*s**3 + s**3. 9*s**3 Collect the terms in 2*d**2 - 742 + 742 - d**2. d**2 Collect the terms in -3*k**2 + 16*k**2 - 4*k**2 - 6*k**2. 3*k**2 Collect the terms in s**2 + 0*s**2 - 9*s + 0*s**2. s**2 - 9*s Collect the terms in 24*t**2 + 2*t**2 - 6*t**2 - 6*t**2 - 10*t**2. 4*t**2 Collect the terms in 294*p + 346*p - 88*p - 83*p. 469*p Collect the terms in 0 + 881*j - 2 - 888*j + 1. -7*j - 1 Collect the terms in 14*v**2 - 11 + 0 + 11. 14*v**2 Collect the terms in 111*u - 261*u - 344*u. -494*u Collect the terms in 3*r**3 + r**3 + 3*r**3 - 4*r**3. 3*r**3 Collect the terms in -8*q - 43*q**2 + 8*q. -43*q**2 Collect the terms in -3*h**2 + 17*h**2 + 8*h**2. 22*h**2 Collect the terms in 3 + 1 - 4 + 267*x**2. 267*x
{ "pile_set_name": "DM Mathematics" }
+ (-585)/(-25))/((-24)/10) -1/6 Calculate (-8)/10*9/(-16) + 244/(-976). 1/5 Calculate (41/5 - 8)/(49/(-35)). -1/7 (-42315)/(-14040) - 2/144 3 What is the value of ((140/16)/7)/((-9)/(-36))? 5 (210/126)/((-690)/(-18)) 1/23 (1192 + -1202)*(1 + -1 + -2) 20 Calculate ((-51)/9)/((-2)/(-6)) + (-6)/2. -20 Calculate (68/(-255))/((-6)/15). 2/3 Evaluate (-782)/(-7429) + 54/(-874). 1/23 What is ((-19)/38)/((-6)/(-36))? -3 What is the value of (-175)/28 - (12 - 18)? -1/4 ((-250)/(-375))/(1/(-12)) -8 Calculate (-2)/(-4)*(-10)/2. -5/2 What is the value of (-176)/(-26) - (-189)/(-27)? -3/13 886/(-6202) + (-13)/(-7)*-1 -2 Calculate ((-8)/18 - (-672)/1728)/((-1)/15). 5/6 Evaluate 4/(-14)*(-658)/(-1598). -2/17 Calculate (1554/777)/(-1*(4/2)/(-4)). 4 22/(-11) + 319/174 -1/6 What is the value of (8 + (-1334)/203)*112/20? 8 Evaluate 1296/(-9828) + 8/(-52). -2/7 40 + -37 - (-2 - (-36)/7) -1/7 Evaluate 8/(24/9) - (1 - (-3)/4). 5/4 Evaluate (1 - -6) + 3948/(-588). 2/7 ((-21199)/(-153))/29 - 3/((-12)/(-20)) -2/9 What is 4 - ((-71)/(-15) - 465/558)? 1/10 What is the value of (-12)/(-33 + -3)*-12? -4 What is (-3 - -6)/(5/(-10))? -6 What is 84/10*(-375)/225? -14 What is (0 - 4/(-24))*(-389 + 371)? -3 Calculate -6*(9 - 793/78). 7 26 + -46 + 550/22 5 What is the value of 114 + -103 - 200/(-10)? 31 ((-8)/80)/(-2 - (-140)/75) 3/4 What is 52/546 - 340/42? -8 What is (-6)/51*323/247? -2/13 Calculate (48 - 55)*((-6)/(-7))/(2/4). -12 Calculate ((-24)/(-56))/(104/(-91)). -3/8 Calculate 3/(4 + -1) - (7 + 12 + 3). -21 What is the value of ((-209)/(-627))/(14/(-12))*28? -8 Calculate -5 + 11 + -8 + -5. -7 ((-12834)/182528)/((18/(-16))/3) 3/16 Calculate ((-98)/(-42))/((-6)/6 + (-4)/(-6)). -7 Calculate 108/(-162)*(-3)/(-10). -1/5 Evaluate (-224)/320 + 2*(-4)/(-40). -1/2 4*2/4*((-22932)/24)/91 -21 Calculate 2/(-4 + -2) - 1*(-9)/27. 0 What is the value of 16/12*231/(-3696)? -1/12 What is the value of ((-20)/(-690))/(14/(-42))? -2/23 Evaluate -2*15/25*(1050/9)/(-14). 10 Calculate 19 + (19320/44)/(-23). -1/11 What is the value of (24/7)/(122/(-427))? -12 What is (8/((-448)/231))/((-3340)/(-160) - 21)? 33 What is the value of 15/3*(-2)/(-105) - 1595/26796? 1/28 Evaluate 1072/(-804)*(0 + 1/2). -2/3 What is the value of (-2)/(-6) + 33/((-2079)/12)? 1/7 Calculate ((-5)/10)/((-70)/(-42)). -3/10 Evaluate (8 + 84/(-8))/((-735)/(-84)). -2/7 2583/(-945) - 20/75 -3 Evaluate 34 - (176/11 - -22). -4 Evaluate (-4)/(-7) - ((-400)/(-840) + 4/42). 0 ((-565)/(-15) - 37) + 11*5/3 19 What is the value of 975/26*2548/4550? 21 What is the value of -14*105/(-882)*(-2)/25? -2/15 What is 0*(384/288)/(-1 - 3)? 0 Evaluate ((-327)/2289)/((-13)/7 - -2). -1 Calculate (52/182)/((-6)/14). -2/3 What is the value of (36/(-243))/(600/(-540))? 2/15 Calculate (3/(-33)*-11)/11*6. 6/11 -19 + 15 + (5 - 78/30) -8/5 What is (-1 + 91/28)/1? 9/4 (-975)/(-135) - 7 - ((-40)/(-18))/(-5) 2/3 Calculate 6/(-988)*4 - (-729)/(-13851). -1/13 Calculate (-12)/8*796/17313. -2/29 Evaluate (71/(-639))/(((-10)/6)/(-5)). -1/3 (-2)/(-3) - (9 - 15/((-900)/(-740))) 4 (-900)/1500 - (-52)/(-30) -7/3 What is the value of ((-11)/(-6))/(251/(-1506))? -11 Calculate (-231)/(-1148) + 45/(-180). -2/41 (1/69)/(10/6*52/520) 2/23 (343/(-1029))/((-14)/54) 9/7 Evaluate (1/5)/(-4 + 5). 1/5 (-114)/56 + 6688/2926 1/4 What is (-5)/((164/144)/(3/(-9)) - -3)? 12 What is the value of 581/4067 + (1/(-82))/((-7)/(-54))? 2/41 Calculate ((1 + (-22)/12)*3)/(614/(-1228)). 5 Evaluate (-12)/3*5*11/(-220). 1 Calculate 1*32 - (-26196)/(-888). 5/2 What is 34 + 240/(-7) + 10/(-14)? -1 Evaluate 4 + ((-1)/(-6))/((-12)/240). 2/3 52/(-182) - 279/(-21) - -2 15 What is -5*(1 + -2*1) + (-7744)/1694? 3/7 Calculate (-167)/(-13) + (-16)/78*48/(-64). 13 What is the value of 6314/533 + ((-2)/13)/(4/(-4))? 12 Calculate (-155)/(-310)*(6 + -3). 3/2 Calculate (((-10)/(-25))/(4/5))/((-32)/(-56)). 7/8 Evaluate 4/((-560)/(-155)) + 41/(-164). 6/7 What is ((-4)/(-30))/((-13)/(-22 + 48) + 1)? 4/15 Calculate ((-8)/12)/((-40)/(-675))*12/(-9). 15 (36/(-27))/((-68)/(-238)*1/(-6)) 28 ((-22)/4*-4)/((-56)/(-7) + -10) -11 What is 1990/597*((-2)/10 + -1)? -4 What is the value of (-27)/180 + 2*(-39)/(-104)? 3/5 What is the value of ((-16)/12)/((-4)/21) - 65/9? -2/9 Evaluate (7 - 1131/104) + (2 - -2). 1/8 Evaluate 8/(-14) - (43862/5733 - (-2)/(-9)). -8 What is (2 - -1)*((-246)/36 - -7)? 1/2 Calculate (-2*1/30)/(448/(-640)). 2/21 (-7242)/1704 + (-47)/(-28) -18/7 ((-8)/14)/(((-41574)/(-287))/39) -2/13 Evaluate (27/(-12))/((-45)/60). 3 What is the value of 47/(-517) + 19/(-33) + 376/24? 15 Evaluate (-9 + 23)*3/14. 3 ((-4462)/582)/((-8)/(-24)) -23 Calculate 6 + 7*20/(-105)*(-29)/(-6). -4/9 Calculate 8/(-28) - (-216)/(-54)*(-6)/70. 2/35 What is the value of (83 - 90) + ((-48)/(-40))/(2/11)? -2/5 (-190)/4465 + 1408/(-47) -30 What is the value of (((-615)/(-41))/(-60))/7? -1/28 What is 23/(184/(-48)) - (2 + -14 - -1)? 5 (15/25)/(1/(-15)) -9 Calculate ((-4)/(-3))/((-108)/648). -8 What is the value of 13*28/52 - (-4 - -6)*-3? 13 Evaluate -4 + 15 + 8 + 45/(-5). 10 Calculate (15/(-135))/((-50)/(-30)). -1/15 (2 - (120/(-21))/(-4)) + (-23136)/5061 -4 Calculate 425/40 - 12 - -1. -3/8 1154/(-11540) + (-2)/((-40)/222) 11 (-6 - ((-1 - 161)/6 - -8))/(-1) -13 (-2)/(-10) + 310/20 + -16 -3/10 What is the value of ((-171)/(-380))/(3/5) + 58/(-116)? 1/4 Calculate ((-312)/16 + 16)*4. -14 Evaluate (-2)/(1 + 0)*(-2424)/1616. 3 Evaluate 1/((-1)/4*(-10)/(-40)). -16 What is (76/(-95))/((-848)/(-265))? -1/4 What is ((-11)/3)/((91/(-182))/((-3)/2))? -11 What is the value of ((-1020)/45)/(-17)*15/(-1 - -2)? 20 Evaluate (-18207)/1989 + (-4)/(-26). -9 What is 36/(-27) + (5/((-105)/196) - -8)? -8/3 (2 + (-21)/9)*-33 - 16 -5 Calculate 45/6*-11*100/825. -10 What is the value of (-157)/(-70) + -2 + (-8)/(1600/20)? 1/7 What is the value of 872/(-654) + 1825/30*(-4)/(-10)? 23 What is the value of 539/102 + 2/(-12) + (-242)/2057? 5 What is 518/148*(-4)/2? -7 Calculate (4/(-77))/(244/(-2562)). 6/11 Calculate (13 - 4 - 29) + 15. -5 (-410)/123*42/10 -14 What is the value of -11 + 14 + (4 - 15) + -3? -11 What is the value of (177/87 - 2)*(-136)/68? -2/29 Calculate ((-18)/(-15) + 2)/(-12 - (-3700)/250). 8/7 (-204)/(-2550) - 537/150 -7/2 What is (-2415)/210 - ((-49)/2)/(-7)? -15 What is the value of (-3)/(27/(-66)) - (-3)/(27/(-21))? 5 What is 50/(-3) - (-170 + 156)? -8/3 What is the value of (585/(-20) + 29)/(14/16)? -2/7 430/989*23 - (0 - 1) 11 What is the value of (1*-5 - (-108)/20)/(2/(-10))? -2 Calculate 3*7/63*-3*-1*-15. -15 (-13 - -12)/(2/(-10)) 5 What is the value of ((114/(-36))/19*1)/((-2)/3)? 1/4 Evaluate (-24)/348 - (-170)/(-58) - -10. 7 What is the value of 3/5 + -5 + 798/195? -4/13 Evaluate (-2)/(10 - 266/28). -4 What is the value of (4/7)/(107/((-34454)/(-368)))? 1/2 Evaluate 30/(-6) + 14/(-4)*(-272)/119. 3 Calculate (14 + (-416)/(-65))*(-65)/39. -34 ((-28)/(-84))/(-4 - (-238)/60) -10 What is the value of ((-3420)/(-430) + 0)*1 + (1 - 9)? -2/43 Calculate ((-799)/68 - -17)*32/28. 6 What is the value of 40 + -27 + 960/(-70)? -5/7 1164/357 + 704/(-224) 2/17 ((-61)/(-110) + 8/(-16))/((-18)/(-20)) 2/33 What is ((-8)/(-6) - (-26)/(-24))/((-7)/(-8))? 2/7 19752/(-115220) + -5 + 4 + 30/28 -1/10 ((-574)/2009)/(4/7*2/(-8)) 2 What is (-17*(-34)/578)/((-3)/21)? -7 What is the value of (-138)/1173*(-1 - 0)? 2/17 Evaluate (-14 + (-962)/(-65))/10. 2/25 Evaluate -6 + -5 - -2 - (-6 + 3). -6 What is 3 - 24/(-180)*-40? -7/3 What is the value of 13/((-416)/(-504)) + 39/(-52)? 15 Calculate -1 + 3/5 - ((-767)/(-520) + -2). 1/8 Evaluate 35/10 - (14 - 444/24). 8 Calculate (-3)/12*648/(-378). 3/7 What is -7 + 204/15 + (-18)/(-90)*-3? 6 -3*1*((-5038)/627 + 8) 2/19 Calculate (3/9 - 1) + 13*(-570)/(-7605). 4/13 Evaluate (8/(-90))/(((-8)/(-108))/(160/(-240))). 4/5 ((-24)/(-5))/((8/(-32))/(20/(-32))) 12 -2*1/1 - (2430/153 + -18) 2/17 What is (-17930)/(-3260) - (-10)/4? 8 Evaluate 1/(-2) - (525/(-50) + 26). -16 Evaluate ((-27270)/(-4040))/((-18)/4). -3/2 (-1496)/55 + 80/400 -27 What is the value of (-180)/(-405) - (-4)/(-9)? 0 What is (-295)/(-590)*23/(-2) - (-8 - 3)? 21/4 What is (-165)/(-11)*2/(-5)*170/(-68)? 15 What is the value of 55/(-77)*46/345? -2/21 0/(0 - -3 - 4) 0 What is the value of (-5)/2 + (-65)/130? -3 Calculate (31330/(-108450))/(1/(-15)). 13/3 (-534)/(-347
{ "pile_set_name": "DM Mathematics" }
ist the prime factors of 159037. 359, 443 What are the prime factors of 89574? 2, 3, 14929 List the prime factors of 21343. 7, 3049 List the prime factors of 65925. 3, 5, 293 List the prime factors of 4573. 17, 269 List the prime factors of 24346. 2, 7, 37, 47 List the prime factors of 101614. 2, 23, 47 List the prime factors of 5342. 2, 2671 What are the prime factors of 241? 241 List the prime factors of 31085. 5, 6217 List the prime factors of 16861. 13, 1297 What are the prime factors of 502? 2, 251 List the prime factors of 27875. 5, 223 List the prime factors of 2943. 3, 109 List the prime factors of 12164. 2, 3041 What are the prime factors of 19741? 19, 1039 List the prime factors of 824. 2, 103 List the prime factors of 68. 2, 17 What are the prime factors of 10062? 2, 3, 13, 43 List the prime factors of 258. 2, 3, 43 What are the prime factors of 30323? 30323 List the prime factors of 119507. 127, 941 List the prime factors of 736. 2, 23 What are the prime factors of 15473? 15473 What are the prime factors of 11314? 2, 5657 What are the prime factors of 1704? 2, 3, 71 List the prime factors of 8554. 2, 7, 13, 47 What are the prime factors of 32640? 2, 3, 5, 17 What are the prime factors of 1010? 2, 5, 101 List the prime factors of 71980. 2, 5, 59, 61 List the prime factors of 5715. 3, 5, 127 List the prime factors of 2863. 7, 409 What are the prime factors of 6322? 2, 29, 109 What are the prime factors of 3218? 2, 1609 What are the prime factors of 3319? 3319 What are the prime factors of 6260? 2, 5, 313 What are the prime factors of 2402? 2, 1201 List the prime factors of 337. 337 What are the prime factors of 180? 2, 3, 5 What are the prime factors of 10399? 10399 What are the prime factors of 2285? 5, 457 What are the prime factors of 2781? 3, 103 List the prime factors of 9750. 2, 3, 5, 13 What are the prime factors of 9443? 7, 19, 71 List the prime factors of 4432. 2, 277 List the prime factors of 11518. 2, 13, 443 List the prime factors of 4298. 2, 7, 307 What are the prime factors of 156194? 2, 29, 2693 What are the prime factors of 94179? 3, 31393 What are the prime factors of 1689? 3, 563 What are the prime factors of 28977? 3, 13, 743 List the prime factors of 100147. 17, 43, 137 What are the prime factors of 2500? 2, 5 What are the prime factors of 5540? 2, 5, 277 What are the prime factors of 856? 2, 107 List the prime factors of 2261. 7, 17, 19 List the prime factors of 3006. 2, 3, 167 List the prime factors of 598. 2, 13, 23 List the prime factors of 1523. 1523 What are the prime factors of 4303? 13, 331 List the prime factors of 22919. 13, 41, 43 List the prime factors of 37214. 2, 23, 809 List the prime factors of 187. 11, 17 List the prime factors of 3529. 3529 List the prime factors of 2157. 3, 719 List the prime factors of 60942. 2, 3, 7, 1451 List the prime factors of 3175. 5, 127 List the prime factors of 3083. 3083 List the prime factors of 7261. 53, 137 List the prime factors of 41926. 2, 20963 What are the prime factors of 72251? 72251 What are the prime factors of 5428? 2, 23, 59 List the prime factors of 10182. 2, 3, 1697 What are the prime factors of 269? 269 What are the prime factors of 131? 131 What are the prime factors of 1797? 3, 599 List the prime factors of 31210. 2, 5, 3121 List the prime factors of 82348. 2, 7, 17, 173 List the prime factors of 1685. 5, 337 What are the prime factors of 26553? 3, 53, 167 List the prime factors of 25296. 2, 3, 17, 31 List the prime factors of 819. 3, 7, 13 What are the prime factors of 597? 3, 199 List the prime factors of 781. 11, 71 What are the prime factors of 4479? 3, 1493 What are the prime factors of 27272? 2, 7, 487 List the prime factors of 37340. 2, 5, 1867 List the prime factors of 2181. 3, 727 List the prime factors of 1966. 2, 983 List the prime factors of 36192. 2, 3, 13, 29 List the prime factors of 49011. 3, 17, 31 List the prime factors of 1887. 3, 17, 37 List the prime factors of 12102. 2, 3, 2017 What are the prime factors of 6800? 2, 5, 17 List the prime factors of 55097. 7, 17, 463 What are the prime factors of 22820? 2, 5, 7, 163 What are the prime factors of 11451? 3, 11, 347 List the prime factors of 3342. 2, 3, 557 What are the prime factors of 91? 7, 13 What are the prime factors of 50000? 2, 5 List the prime factors of 1397. 11, 127 List the prime factors of 90194. 2, 13, 3469 List the prime factors of 19999. 7, 2857 List the prime factors of 2001. 3, 23, 29 List the prime factors of 11910. 2, 3, 5, 397 What are the prime factors of 9432? 2, 3, 131 List the prime factors of 5144. 2, 643 What are the prime factors of 385? 5, 7, 11 What are the prime factors of 2124? 2, 3, 59 List the prime factors of 1875. 3, 5 List the prime factors of 4228. 2, 7, 151 What are the prime factors of 20055? 3, 5, 7, 191 List the prime factors of 17602. 2, 13, 677 What are the prime factors of 225? 3, 5 List the prime factors of 22168. 2, 17, 163 What are the prime factors of 37561? 37561 What are the prime factors of 465? 3, 5, 31 List the prime factors of 26723. 26723 What are the prime factors of 54402? 2, 3, 9067 What are the prime factors of 109209? 3, 59, 617 What are the prime factors of 42440? 2, 5, 1061 What are the prime factors of 9705? 3, 5, 647 List the prime factors of 11609. 13, 19, 47 List the prime factors of 1893. 3, 631 What are the prime factors of 2782? 2, 13, 107 List the prime factors of 3271. 3271 What are the prime factors of 9152? 2, 11, 13 List the prime factors of 45928. 2, 5741 What are the prime factors of 9101? 19, 479 List the prime factors of 42910. 2, 5, 7, 613 List the prime factors of 32034. 2, 3, 19, 281 What are the prime factors of 1741? 1741 List the prime factors of 1696. 2, 53 What are the prime factors of 31039? 31039 List the prime factors of 87059. 7, 12437 List the prime factors of 34995. 3, 5, 2333 What are the prime factors of 1089? 3, 11 List the prime factors of 2550. 2, 3, 5, 17 What are the prime factors of 1638? 2, 3, 7, 13 What are the prime factors of 300? 2, 3, 5 List the prime factors of 78358. 2, 7, 29, 193 List the prime factors of 816. 2, 3, 17 What are the prime factors of 618? 2, 3, 103 List the prime factors of 96880. 2, 5, 7, 173 List the prime factors of 689. 13, 53 List the prime factors of 396. 2, 3, 11 List the prime factors of 1214. 2, 607 What are the prime factors of 678? 2, 3, 113 List the prime factors of 4094. 2, 23, 89 List the prime factors of 2233. 7, 11, 29 List the prime factors of 12048. 2, 3, 251 List the prime factors of 61860. 2, 3, 5, 1031 List the prime factors of 41929. 23, 1823 What are the prime factors of 565? 5, 113 List the prime factors of 495. 3, 5, 11 What are the prime factors of 1034? 2, 11, 47 What are the prime factors of 906? 2, 3, 151 What are the prime factors of 43179? 3, 37, 389 What are the prime factors of 370? 2, 5, 37 What are the prime factors of 1401? 3, 467 List the prime factors of 4152. 2, 3, 173 List the prime factors of 4068. 2, 3, 113 List the prime factors of 1750. 2, 5, 7 List the prime factors of 4666. 2, 2333 What are the prime factors of 5? 5 What are the prime factors of 4227? 3, 1409 What are the prime factors of 3782? 2, 31, 61 What are the prime factors of 2425? 5, 97 What are the prime factors of 11497? 11497 List the prime factors of 1626. 2, 3, 271 List the prime factors of 49414. 2, 31, 797 What are the prime factors of 6994? 2, 13, 269 What are the prime factors of 595? 5, 7, 17 List the prime factors of 17160. 2, 3, 5, 11, 13 What are the prime factors of 49852? 2, 11, 103 What are the prime factors of 416? 2, 13 What are the prime factors of 2525? 5, 101 What are the prime factors of 971? 971 What are the prime factors of 205? 5, 41 List the prime factors of 4804. 2, 1201 List the prime factors of 2112. 2, 3, 11 What are the prime factors of 27389? 61, 449 What are the prime factors of 5941? 13, 457 List the prime factors of 17862. 2, 3, 13, 229 What are the prime factors of 2321? 11, 211 What are the prime factors of 170? 2, 5, 17 List the prime factors of 61099. 61099 List the prime factors of 3589. 37, 97 List the prime factors of 213. 3, 71 List the prime factors of 2213. 2213 What are the prime factors of 3068? 2, 13, 59
{ "pile_set_name": "DM Mathematics" }
assuming m is positive. m**(-169/40) Simplify (q*q**9)/((q*q**(-1/8))/q)*q**(-3/2)*q**(-2)*(q**2)**(-9/5)/(q**(-1))**25 assuming q is positive. q**(1121/40) Simplify (y*y/(y/((y*(y/(y/(y**(-9)/y)))/y*y*y)/y)))**(-2/3)*y/(y**(-2/25)/y)*y*y**(-37)/y assuming y is positive. y**(-2219/75) Simplify (x**0*x/x**(2/13)*x*x)**(3/2)/((x*x/(x*x**(-1))*x*x*x)/x*x**(-4)/x*((x*((x**(-3)/x)/x*x)/x)/x*x*x)/x*x**(2/3)/x*x*x) assuming x is positive. x**(593/78) Simplify ((b**(1/5)/b)/(b**(2/19)/b*b))**28*(((b**(-2/3)/b*b)/b*b)/b**(-9))**(-16/7) assuming b is positive. b**(-88568/1995) Simplify ((p*p*p*p*p/(p**(-1/5)*p)*p*p)/(p**(-1/2)*p)*(p**5*p)/p**(-3/8))/((p**(-2/5)/p*p*p)**(5/7)*(p*p/p**(-1))**(-34/7)) assuming p is positive. p**(7341/280) Simplify (f*f*f**(-13)/f)/((f*f*f**17*f*f)/f)*f*f**10*f**(4/9) assuming f is positive. f**(-185/9) Simplify (j**(1/4))**18*(j**(1/2))**(-45)*j**5*j*j*j*(j**1*j)/j*(j**(-1/3))**(-21/2) assuming j is positive. j**(-11/2) Simplify ((o**(-1))**(-13/5)/((o/(o**1*o*o))/(o/(o/(o*o/(o**(-2/17)*o)*o))*o)))/(o*o**(-6)*o*o**10)**(1/44) assuming o is positive. o**(14177/1870) Simplify (((i**(1/2))**(-13/4)*(i*i**2)**(3/40))**4)**(-23/5) assuming i is positive. i**(644/25) Simplify (x/(x/(x**(2/15)/x*x)))/(x**(-8)*x)*(x**2)**26*((x*x**(-1/5))/x)**(-1/47)/(x**(-3)*(x*x*x**(1/2)*x)/x*x) assuming x is positive. x**(82679/1410) Simplify ((c**(2/3))**(-16/3))**(-15/7)/(c/c**(3/7)*c**(-3/4)*(c*c**0)**(1/29)) assuming c is positive. c**(18911/2436) Simplify (l**(1/5)/l*((l**6/l)/l)/l)/(l**(-3)/l**(-2/3))*(l/l**(2/5))/l*l**(1/8)*(l**1/l)**(-1/16) assuming l is positive. l**(511/120) Simplify c**10*c*c**(1/6)*c*c**(3/35)*c*c**39*c assuming c is positive. c**(11183/210) Simplify (h**(-2/15)*h**(-2/5)/h)**(-1/32)*(h**(1/2)*h/h**(-5/4))/(h*h**(3/2)/h*((h/((((h/(((h*h*h**(-6))/h)/h)*h)/h)/h)/h))/h*h)/h) assuming h is positive. h**(3023/480) Simplify (t**(-4)*t*t)/(t*t/t**(-1)*t)*((t/(t/(t*(t*t**(4/7))/t)))/t)/(t*t**(2/11))*(t**(-2/11)*t**(-5/4))/(t**(-4)/(t**(-6)*t*t)) assuming t is positive. t**(-2477/308) Simplify (x**4/x*x*x**(-4/9)*(x**(2/7)*x)**(-1))**(-49) assuming x is positive. x**(-1001/9) Simplify (j**17*j)**(-23)*(j**(7/4)*j)**24 assuming j is positive. j**(-348) Simplify h**4/h**4*(h**(1/4))**(-21)*(((h/h**1)/h*h)/(h/(h*h*h**0)))**(-25/3) assuming h is positive. h**(-163/12) Simplify ((((l**(1/2)/l)/l)**50*l**6/(l**4*l))**(-17))**32 assuming l is positive. l**40256 Simplify r/r**(-2/5)*r**(1/6)*(r**(-2/11)*r*r)/(r/(r/((r*r**3*r)/r)*r))*((r/(r/(r*r**7)))/r*r*r**(-9))**(-2/19) assuming r is positive. r**(3073/6270) Simplify ((x/(x*x*x**(-4/7))*x)/(x**(-5/9)/x)*x*(x/(((x*x/x**3*x)/x)/x))/x*x*x**17*x)**(-1) assuming x is positive. x**(-1520/63) Simplify (g*g*g**1)**13*(g**(-2)/g*g)/g*g/((g**(1/4)/g)/g)*(g/(g**(-1)/g)*g*g/g**(-4))/(g/(g/(g**(-2/3)*g))*g)**(4/7) assuming g is positive. g**(3947/84) Simplify ((s**(4/5)/s)/s**(1/5))**(-34)/((s**(-1/4))**(-1/68))**(10/7) assuming s is positive. s**(64711/4760) Simplify ((b**1*b)**(-6)*(b**(-1)/b)**(-47/5))/(b**(-3)/b**2*b**(-2)/(b/b**(-2/9))) assuming b is positive. b**(676/45) Simplify (((h**7*h/(h*h*h*(h/(h/(h**(2/23)/h*h*h)))/h))/(h**1*h)**(2/55))**(7/3))**(-17) assuming h is positive. h**(-242879/1265) Simplify ((i**(-2/5)/i*i)**(-7/2)*(i*i**(-1/3))**4)**17 assuming i is positive. i**(1037/15) Simplify ((r*r**(-3/8)/r)/(r**(2/3)/r))**(-7/3)/((r*r/r**(-3))/(r*r**3*r)*r/r**(-1)*r**(1/4)) assuming r is positive. r**(-155/72) Simplify (((k**(-2/17)*k**(-2))**31)**(27/7))**(1/17) assuming k is positive. k**(-30132/2023) Simplify (n*n*(n/(n/((n*n**(-1/3)*n)/n)))/n*n)**(-12/11)*((n**(1/4)/n)/n)**5*(n**0)**(-34)*n/n**(-4/3)*n/n**2 assuming n is positive. n**(-1363/132) Simplify (((p/(p/p**5))**(2/179)/(p/(p/(((p*p/((p/p**(-6))/p))/p)/p))*p*(((p**(3/10)/p)/p*p)/p)/p))**12)**(-24) assuming p is positive. p**(-1999152/895) Simplify ((r/(r/(r**(-1/4)*r))*r)/r*r**3)**4*(r**(-1/7)*r*(r**(-4/5)/r)/r)**(-19/2) assuming r is positive. r**(1171/35) Simplify (u*u/(u*u**0))**(-1/31)/(u**(-3/8)*u*u**(-4))*(u*u*u**(-2/11)*u*u**(1/6)*u*u*u)/(u/(u*u/u**(2/5))*u**4/u) assuming u is positive. u**(283477/40920) Simplify ((f*(f**7/f)/f*f**(-2))/(f*f**(-1)*f)**(6/11))/(((f/(f**(2/21)/f))/f)/f**(-4)*f**(2/21)*f**(-3)/f) assuming f is positive. f**(27/11) Simplify (((s**6*s*s**(1/3)*s*s)/(s**(-4)/s**6))**(2/5))**(-6/13) assuming s is positive. s**(-232/65) Simplify ((c*((c/c**0*c)/c)/c*c*c)/(c/(c*c**(3/2)*c)))**(12/5)/((c**(-2)*c)/c*c/c**(-2/7))**28 assuming c is positive. c**(166/5) Simplify ((m**0/(m**(-25)*m*m))/(m**(2/15)*m)**12)**10 assuming m is positive. m**94 Simplify w**(1/2)/w**7*w*w**(-2/19)*w*w*w**(-2/17)*((w/w**(1/2)*w)/w*w**6)/(w**(-5/2)*w**(3/10)*w*w) assuming w is positive. w**(4808/1615) Simplify ((l**(1/3)*l**15)/((l/((l/l**(-12))/l))/l**(2/35)))**(2/21) assuming l is positive. l**(5542/2205) Simplify ((b/b**1)/b)/(b**(-2)/b)*b/b**7*b**3*b*(b**(-6)/(b**(-2/31)/b))**(-7/8) assuming b is positive. b**(1071/248) Simplify ((j/j**(-1/8))/(j*j**24)*(j*j**(-25)*j*j*j)/((((j/j**(1/46))/j)/j)/j))**(-47) assuming j is positive. j**(370595/184) Simplify ((f**(1/20))**4*(f*f**(3/4))/(f/(f**(-3/11)*f)))**33 assuming f is positive. f**(1107/20) Simplify ((o**(-1)/o)**(-46))**19/(o/(o**2*o*o)*o/(o**3*o)*o*(o*(o/o**(-2/7))/o)/((o/(o/(o/o**(-1/4))))/o)) assuming o is positive. o**(49055/28) Simplify ((u*u*(u*u*u/(u/((u/u**1)/u)))/u*u)**(-10))**7/(u/(u**(-2/17)/u)*u**2*(u*u**(1/2))**(-48)) assuming u is positive. u**(-2416/17) Simplify (y**(3/2)/y)/((y**(1/6)*y)/y)*(y**7*y)/(y/y**0)*(y/((y**(-4)*y)/y))/(y**2/y)*(y/(y*y**(1/14))*y)/y**(1/5) assuming y is positive. y**(2533/210) Simplify ((f**(-12)*f**(-4))/((f/((f/(f/f**(-5)))/f))/(f/((f/f**(2/27)*f)/f))))**48 assuming f is positive. f**(-9904/9) Simplify (w**(-1/3)*w/(w/(w/(w*w/(w/(w*w/((w**8*w)/w)))))))**(-1/87)*(w**3*(w*w**7/w*w)/w)**39 assuming w is positive. w**(101773/261) Simplify i/(i*i**(1/2))*i*i*i/(i*i**7)*i*((i/(i/i**(-1))*i)/i*i*i)**(-3/10) assuming i is positive. i**(-24/5) Simplify (b*b/(b/b**17)*b*b**(-25)/b*b**(2/15)/b**(5/6))**(-14) assuming b is positive. b**(539/5) Simplify b/(b/b**38)*b**(3/8)*b**(-2/5)/(b*b*b*b/((b/((b*b**(-1/38)*b*b)/b))/b)*b) assuming b is positive. b**(23561/760) Simplify (t**(-2/9)*t*t*t**(-1/14)*t*t**4*t**(1/4))/(t/t**(1/3)*t**(-4/5)*t)**14 assuming t is positive. t**(-6523/1260) Simplify (k*k**43/k*(k/(k/((k/(k**(-2/33)*k))/k)))/k)/(k*k**(-36))**(-1/31) assuming k is positive. k**(40850/1023) Simplify (c**(-10)/(c/(((c/(c/(c/(c**(-5)*c))))/c*c)/c)*c))**(4/5)*(c*c**(-8)*c)/(c/(c/c**6))*(c/c**1)**(-3) assuming c is positive. c**(-92/5) Simplify ((b*b/(b/(b/(b*b/b**(-16)*b)))*(b**15/b)/b)**25)**(1/6) assuming b is positive. b**(-50/3) Simplify (((z*(z/z**(2/5))/z)/z)**(-31)/(z*(z**(-2/15)*z)/z*z*z)**(-1))**39 assuming z is positive. z**(2977/5) Simplify (m**5/m*m*m/(m*m**3/m))**36/((m*m**(3/2)/m*m*m**(-1))/(m**(2/5))**(-39)) assuming m is positive. m**(909/10) Simplify (((z*z/z**(-1)*z*z/(z*(z*z**(-5))/z*z)*z)/(z**(-2))**(33/2))**(1/24))**(-1/47) assuming z is positive. z**(-7/188) Simplify (c**(-6/11)*c*(c**(2/15)/c)/c)/(c**(1/3))**(-49)*(c**(-1/7)*c**(4/3)/c)**(-35) assuming c is positive. c**(454/55) Simplify ((l/(l/(l**(-1/2)*l*l)*l))**(-3/2))**7/(l**(-2/33)/l*l**(2/29)/l*l)**(-1/78) assuming l is positive. l**(-60437/11484) Simplify ((l**(-2)/l)/l*l*l**(1/10)*l**3/(l**(-1)/l))/((l*l*l*(l*l**6*l*l)/l)/((((l**1*l)/l)/l)/l)*l**2/((l*l**(-7)*l*l)/l)) assuming l is positive. l**(-169/10) Simplify (o*o**13*o/o**(3/4))/((o/o**41)/o**9) assuming o is positive. o**(253/4) Simplify (x*x/x**(-1))/(x*x**(-2/3))*(x*x*x**1)**(10/3)*x**(-3/5)/(x/(x**(-3/7)*x))*(x/(x*x/x**0))**(-4) assuming x is positive. x**(1642/105) Simplify (x**1*x**4)/(x**(1/3))**(-40)*(x**(-1))**(-1/11)*(x/(x**(-2/11)*x*x))/x*x/(x/x**(1/4))*x*x assuming x is positive. x**(2489/132) Simplify j**(-1/18)*j*j/j**16*j**(-44)/j**(1/11) assuming j is positive. j**(-11513/198) Simplify ((g**(1/3))**(-34))**(-36)*(g/((g**(-6)/g)/g)*g**(-2/15))/(g**(-1/4)/(g/((g*((g/(g**(3/4)/g))/g)/g*g)/g*g))) assuming g is positive. g**(6253/15) Simplify u**4*u*u**(1/2)*u*(u**(2/9))**(1/38)*(u/u**(2/3))/(u/u**(7/3))*(u/(u/u**2))**(3/23) assuming u is positive. u**(66337/7866) Simplify (j
{ "pile_set_name": "DM Mathematics" }
. -2, -1/4, 0, 2/5, 1 Let k(r) be the third derivative of -r**8/224 + r**6/80 + 8*r**2. Factor k(u). -3*u**3*(u - 1)*(u + 1)/2 Suppose 2*c = -0*c + 3*b + 21, -4*c + b = -17. Let 9*w**2 - 10*w**c + w**3 - 3*w**3 + 3*w**4 = 0. Calculate w. 0, 1, 3 Suppose -3*k**4 - k**4 - 8*k + 7*k**4 - 6*k**4 + 2*k**3 + 12*k**2 = 0. Calculate k. -2, 0, 2/3, 2 Let l(f) be the third derivative of f**9/211680 - f**8/70560 - f**5/60 + 3*f**2. Let s(k) be the third derivative of l(k). Let s(w) = 0. What is w? 0, 1 Let w(v) be the second derivative of v**3/6 + 5*v**2 + 2*v. Let c be w(-7). Factor 7*z + c*z**2 - z + 3 + 0*z. 3*(z + 1)**2 Suppose 4 + 0 = t. Suppose -t*v + 4 = -3*n - n, -v = 4*n - 21. Suppose -5/3*f**5 - 2/3*f**2 + 0*f + 0 - 3*f**3 - 4*f**n = 0. Calculate f. -1, -2/5, 0 Let t be ((-1 - -10) + -40)/(-3 + 0). Suppose -2*w = -4*y + 14, 3*y = 3*w - 1 + 16. Suppose -40/3*n**4 + 17*n**3 + 4*n**5 - t*n**y + 3*n - 1/3 = 0. Calculate n. 1/3, 1/2, 1 Let l(u) be the first derivative of 2*u**5/5 + 5*u**4/2 + 16*u**3/3 + 4*u**2 + 11. What is z in l(z) = 0? -2, -1, 0 Let j = 10 - 8. Factor -1/4*s**j + 0*s + 1/4. -(s - 1)*(s + 1)/4 Factor -3*w**4 - 3*w**5 - 9*w**3 - 7*w**4 - 3*w**2 + w**4. -3*w**2*(w + 1)**3 Factor 3*b**2 + 1470*b + 363 - 1404*b + 0*b**2. 3*(b + 11)**2 Let g(b) be the first derivative of 9/10*b**4 - 2*b**3 + 9 - 2/5*b + 7/5*b**2. Determine k, given that g(k) = 0. 1/3, 1 Let b(m) = -m**3 - 4*m + 5. Let h(y) = 2*y - 7*y + 7 - y**3 + 0*y**3 - y. Let a(t) = -7*b(t) + 5*h(t). Let a(x) = 0. What is x? -1, 0, 1 Let r(h) be the first derivative of 3*h**4/4 - 63*h**2/2 + 24*h + 5. Let n(t) = t**3 - 18*t + 7. Let k(p) = -18*n(p) + 5*r(p). Factor k(m). -3*(m - 1)**2*(m + 2) Let h(b) = -b**3 - 16*b**2 - 14*b + 18. Let t be h(-15). Determine g, given that -2/3 + g + 0*g**2 - 1/3*g**t = 0. -2, 1 Let c = -11 - -19. Let b be ((-2)/(-3))/(c/42). Let 10/3*a**4 - 2/3*a - 10/3*a**2 + 25/6*a**5 + 0 - b*a**3 = 0. Calculate a. -1, -2/5, 0, 1 Let o(c) = c**3 - 11*c**2 + 3. Let d(a) = -30*a + 30*a - 120*a**2 + 12*a**3 + 32. Let z(n) = -3*d(n) + 32*o(n). Find w, given that z(w) = 0. 0, 2 Let a = 309 + -307. Solve 0*k + 0 - 1/4*k**3 + 1/4*k**a = 0. 0, 1 Let l = 7 + 1. Let f be (-1)/4 - (-18)/l. Factor -3*j**5 - 14*j**2 + f*j + 6*j**2 - 8*j**4 + 12*j**3 + 5*j**5. 2*j*(j - 1)**4 Let y(u) be the third derivative of -u**5/120 + u**4/48 + u**3/6 - 23*u**2. Factor y(f). -(f - 2)*(f + 1)/2 Let n(h) = -h**3 - 4*h**2 - 1. Let w be n(-3). Let l be (-2 - -3) + (-2)/w. What is f in -l*f**2 + 6/5*f**3 + 0 + 2/5*f - 2/5*f**4 = 0? 0, 1 Let d(p) = 2*p**4 - 10*p**3 - 8*p**2 + 7*p. Let x = -12 - -18. Let s(r) = -5*r**4 + 19*r**3 + 16*r**2 - 13*r. Let u(m) = x*s(m) + 10*d(m). Factor u(i). -2*i*(i - 2)*(i + 1)*(5*i - 2) Let k(m) be the third derivative of -m**7/35 - m**6/20 - m**5/10 - m**4/4 + m**2. Let s(l) = l**4 + l. Let b(n) = k(n) + 4*s(n). Factor b(f). -2*f*(f + 1)**3 Let z be ((-10)/6)/((-50)/20). Factor 1/3*l**2 + z*l + 0. l*(l + 2)/3 Let w = -47 - -47. Factor 0 + w*s**3 - 3/2*s**4 + 0*s + 3/2*s**2. -3*s**2*(s - 1)*(s + 1)/2 Suppose 4*f = -3*f + 14. Let c(k) be the second derivative of k**3 + 0*k**4 + 3/2*k**f - 1/10*k**6 + 0 + k - 3/10*k**5. Factor c(m). -3*(m - 1)*(m + 1)**3 Let m be 39/12 + (-2)/8. Let d(b) be the second derivative of 0 - m*b + 0*b**5 - 1/42*b**7 + 1/15*b**6 + 0*b**2 + 1/6*b**3 - 1/6*b**4. What is a in d(a) = 0? -1, 0, 1 Let v(q) be the second derivative of q**6/15 + 8*q**5/45 + 5*q**4/54 - 2*q**3/27 - 5*q. Suppose v(j) = 0. What is j? -1, 0, 2/9 Let r(c) be the second derivative of -3/7*c**2 + 1/28*c**4 + 1/14*c**3 + 0 + 3*c. Solve r(x) = 0. -2, 1 Let p(s) = s**3 - 4*s**2 - 6*s + 5. Let d be p(5). Let i(y) be the second derivative of d - 2*y + 1/21*y**3 - 1/42*y**4 + 0*y**2. Find o, given that i(o) = 0. 0, 1 Suppose 3*r - 28 - 50 = 0. Suppose -8*s**2 - 6*s**2 - r*s**4 + 30*s**3 + 11*s**5 - 3*s**5 + 2*s = 0. Calculate s. 0, 1/4, 1 Let p(f) be the first derivative of -f**5/30 + f**4/8 - f**3/9 + 10. Factor p(j). -j**2*(j - 2)*(j - 1)/6 Let j(c) be the third derivative of c**6/30 + c**5 + 25*c**4/2 + 250*c**3/3 + 59*c**2. Determine i so that j(i) = 0. -5 Let m(l) be the first derivative of l**4/4 + 3*l**3/2 + 5*l**2/2 + 3*l/2 + 3. Find s, given that m(s) = 0. -3, -1, -1/2 Let l = 262/5 - 1794/35. Factor 2/7 - 6/7*s**2 - 8/7*s**3 + l*s**4 + 4/7*s. 2*(s - 1)**2*(2*s + 1)**2/7 Suppose 3*y + 5 + 8 = 5*c, -2*y + 4 = 3*c. Determine z, given that -z**4 + 0 + 0*z**c - 3/2*z**3 + 1/2*z = 0. -1, 0, 1/2 Let n(f) be the second derivative of f**5/300 - f**4/120 + f**2 + 3*f. Let q(p) be the first derivative of n(p). Determine x so that q(x) = 0. 0, 1 Let z(r) be the first derivative of 2*r**5/25 - 4*r**3/15 + 2*r/5 - 10. Suppose z(s) = 0. What is s? -1, 1 Let j(n) be the first derivative of 2*n**3/15 - n**2/5 - 30. Determine w, given that j(w) = 0. 0, 1 Let i = -217 + 220. Factor 1/5*m**i + 1/5*m + 0 - 2/5*m**2. m*(m - 1)**2/5 Factor 0*f + 0 + 2/11*f**3 + 4/11*f**2. 2*f**2*(f + 2)/11 Suppose 4*z = -5*w + 30, 5*z - 4*w = 4*z - 3. Let y(c) be the third derivative of -1/16*c**4 + 1/6*c**3 - 4*c**2 + 0*c + 1/120*c**z + 0. Factor y(n). (n - 2)*(n - 1)/2 Let o be 15/(-5) - (-10 + 0). Factor -d**3 + 2*d**3 - 4*d**2 + o*d**2 + 2*d. d*(d + 1)*(d + 2) What is n in 0*n**2 - 4/5*n**5 - 8*n**3 + 44/5*n - 24/5*n**4 + 24/5 = 0? -3, -2, -1, 1 Suppose -10*c - c**2 + 7*c**3 - 6*c - 4*c**2 - 4 = 0. What is c? -1, -2/7, 2 Let z be (-3)/5 + -4 + 6. Suppose -2*x = 5*h - 10, 5*x + h = x + 2. Factor -z*w**4 + x - 2/5*w**2 + 9/5*w**3 + 0*w. -w**2*(w - 1)*(7*w - 2)/5 Suppose 4*b - 2*o - 18 = 0, 0 = -5*b - 5*o - 8 + 23. Factor -5*f**3 + 0*f**4 + 2*f**b + 2*f**3 - 3*f**2 - f - 3*f**4. -f*(f + 1)**3 Let f = -76 - -12. Let u be (6/(-8))/(84/f). Factor -2/7 + u*p - 2/7*p**2. -2*(p - 1)**2/7 Let r(m) be the first derivative of 4*m**3/15 - 6*m**2/5 + 8*m/5 + 14. Factor r(w). 4*(w - 2)*(w - 1)/5 Let w(k) be the first derivative of k**6/1260 + k**5/105 + k**4/21 + 2*k**3/3 + 3. Let t(p) be the third derivative of w(p). Factor t(z). 2*(z + 2)**2/7 Let t be 4 + -6 + (-176)/(-40). Factor -2/5*g**4 - 26/5*g**2 - 8/5 + t*g**3 + 24/5*g. -2*(g - 2)**2*(g - 1)**2/5 Suppose -4*a**4 - 9*a**4 + 16*a**2 + 9*a**4 = 0. Calculate a. -2, 0, 2 Let s(h) be the first derivative of -2 + 2/9*h**3 + 1/3*h**2 - 2/3*h - 1/6*h**4. Factor s(q). -2*(q - 1)**2*(q + 1)/3 Factor 9*g**4 - 30*g**2 - 15*g**4 + 4*g**4 + 14*g**3 + 18*g. -2*g*(g - 3)**2*(g - 1) Suppose -2 = -4*h + 14. Determine z so that 2*z**4 + 2*z**4 - 2*z**2 + 0*z**4 - 2*z**h = 0. -1, 0, 1 Let g(x) be the third derivative of x**6/180 - x**4/12 - 2*x**3/9 + x**2. Determine r, given that g(r) = 0. -1, 2 Let i(a) be the third derivative of a**8/560 + 3*a**7/350 + 3*a**6/200 + a**5/100 - 2*a**2. Factor i(t). 3*t**2*(t + 1)**3/5 Let z(g) be the first derivative of g**4/40 + g**3/15 + g**2/20 - 13. Factor z(m). m*(m + 1)**2/10 Let y(a) = a**5 - a**4 + a**3 - a + 1. Let b = 13 + -8. Let t(h) = 3*h**5 - 5*h**4 + 7*h**3 - 5*h + 5. Let c(n) = b*y(n) - t(n). Factor c(x). 2*x**3*(x - 1)*(x + 1) Let f(n) be the third derivative of 3*n**2 + 0*n + 1/720*n**6 - 1/360*n**5 + 0*n**3 - 1/144*n**4 + 1/1260*n**7 + 0. Determine k so that f(k) = 0. -1, 0, 1 Let o(c) be the third derivative of -c**9/241920 + c**7/6720 + c**6/1440 - c**5/20 + 2*c**2. Let h(b) be the third derivative of o(b). Factor h(a). -(a - 2)*(a + 1)**2/4 Let s(x) = -2*x**2 - 6*x + 2. Let p(m) = 6*m**2 + 17*m - 6. Let r(a) = -6*p(a) - 17*s(a). Factor r(i). -2*(i - 1)*(i + 1) Let l(u) = -u**2 - u. Let w(i) = 4*i**2 + 4*i + 2. Let g(p) = 5*l(p) + w(p). Let c be g(-2). Determine o so that 0 + o**4 + c = 0. 0 Let t(r) be the second derivative of 3*r**5/5 - r**4/3 - 2*r**3 + 2*r**2 - 4*r. Determine p, given that t(p) = 0. -1, 1/3, 1 Let t(z) be the third derivative of -z**8/60480 - z**7/15120 + z**6/1080 - z**5/30 + 7*z**2. Let g(s) be the third derivative of t(s). Solve g(h) = 0 for h. -2, 1 Factor 12*v**2 - 10*v**2 + 0*v**4 - 3 + 4*v**2 - 3*v**4. -3*(v - 1)**2*(v + 1)**2 Let q(r) be the third derivative of 4*r**2 - 1/84*r**4 + 0*r**3 + 0 + 0*r + 1/210*r**5. Determine u so that q(u) = 0. 0, 1 Let c(u) be the third derivative of -u**8/1680 + u**7/350 - u**6/300 - u**5/150 + u**4/40 - u**3/30 - 7*u**2. Factor c(w). -(w - 1)**4*(w + 1)/5
{ "pile_set_name": "DM Mathematics" }
s prob of picking 4 o? 1001/3060 What is prob of picking 1 h and 1 v when two letters picked without replacement from vvhvvnvvvvvvhb? 20/91 Four letters picked without replacement from fwfflfjwfwmmmfjlflw. What is prob of picking 1 f, 1 w, 1 l, and 1 j? 14/323 Three letters picked without replacement from exexwxeew. Give prob of picking 1 e and 2 x. 1/7 What is prob of picking 2 a and 1 d when three letters picked without replacement from {a: 2, d: 2}? 1/2 Two letters picked without replacement from {r: 1, u: 2, w: 2}. Give prob of picking 1 w and 1 r. 1/5 Calculate prob of picking 1 j and 1 u when two letters picked without replacement from {j: 2, p: 1, s: 3, u: 1}. 2/21 Two letters picked without replacement from ininnittunniiuu. Give prob of picking 1 u and 1 t. 2/35 Three letters picked without replacement from {v: 2, n: 6, x: 1, i: 3}. What is prob of picking 1 x, 1 i, and 1 v? 3/110 What is prob of picking 1 u, 1 q, and 2 r when four letters picked without replacement from {q: 1, u: 3, c: 1, r: 2}? 3/35 Calculate prob of picking 1 y and 1 o when two letters picked without replacement from zzyzzzzzo. 1/36 What is prob of picking 1 x and 2 o when three letters picked without replacement from {x: 1, e: 3, o: 3, m: 4}? 1/55 What is prob of picking 1 q and 1 y when two letters picked without replacement from {q: 3, i: 2, m: 3, e: 2, y: 3, v: 1}? 9/91 What is prob of picking 1 g and 1 m when two letters picked without replacement from {b: 9, g: 1, e: 2, m: 1, d: 7}? 1/190 Two letters picked without replacement from tbkxkph. What is prob of picking 1 t and 1 x? 1/21 Four letters picked without replacement from uaiuuiiuaifaiuuuia. Give prob of picking 2 i, 1 a, and 1 u. 7/51 Two letters picked without replacement from mmmiidm. What is prob of picking 1 i and 1 d? 2/21 Three letters picked without replacement from msmlsslllml. Give prob of picking 1 s and 2 l. 2/11 What is prob of picking 2 x and 1 i when three letters picked without replacement from {x: 2, i: 1, n: 1}? 1/4 Calculate prob of picking 4 z when four letters picked without replacement from {g: 9, z: 9}. 7/170 What is prob of picking 2 k, 1 i, and 1 e when four letters picked without replacement from iititiyekittiik? 1/195 Two letters picked without replacement from bdthhftbthctbt. What is prob of picking 2 b? 3/91 Calculate prob of picking 2 i and 1 w when three letters picked without replacement from {n: 2, i: 14, w: 1}. 91/680 Two letters picked without replacement from kkmkwwmkkm. What is prob of picking 2 m? 1/15 Two letters picked without replacement from gtttj. What is prob of picking 1 t and 1 j? 3/10 Two letters picked without replacement from hrmnrhbmq. What is prob of picking 1 q and 1 m? 1/18 What is prob of picking 1 i and 1 e when two letters picked without replacement from {e: 1, u: 1, n: 1, i: 4, s: 1}? 1/7 Calculate prob of picking 1 s, 1 r, 1 m, and 1 l when four letters picked without replacement from {t: 1, r: 3, l: 1, m: 5, s: 6, i: 4}. 6/323 Calculate prob of picking 2 b, 1 r, and 1 m when four letters picked without replacement from bbtlmmytlrbmt. 9/715 Three letters picked without replacement from {x: 1, c: 2, s: 8, j: 4}. What is prob of picking 2 j and 1 x? 6/455 Two letters picked without replacement from fff. Give prob of picking 2 f. 1 Three letters picked without replacement from lfflvmlffaam. Give prob of picking 1 l and 2 f. 9/110 Three letters picked without replacement from {d: 1, s: 9, h: 1, f: 2, k: 3, x: 3}. What is prob of picking 2 x and 1 d? 1/323 Two letters picked without replacement from vvvmvmvhnu. What is prob of picking 1 h and 1 n? 1/45 Four letters picked without replacement from {l: 2, e: 13, v: 3}. What is prob of picking 2 e and 2 v? 13/170 Two letters picked without replacement from ncryizrzrrrnrinzr. Give prob of picking 1 r and 1 n. 21/136 What is prob of picking 1 f, 1 t, and 1 e when three letters picked without replacement from {f: 1, h: 1, t: 7, e: 7}? 7/80 What is prob of picking 1 n and 2 e when three letters picked without replacement from {k: 1, n: 3, r: 2, m: 2, e: 4}? 9/110 Two letters picked without replacement from {u: 7, h: 2}. What is prob of picking 1 h and 1 u? 7/18 Four letters picked without replacement from {n: 12, f: 3}. Give prob of picking 3 f and 1 n. 4/455 Three letters picked without replacement from eeceecseceecc. Give prob of picking 2 c and 1 s. 5/143 What is prob of picking 2 w and 2 b when four letters picked without replacement from {b: 1, g: 1, w: 1, q: 3, o: 10, y: 2}? 0 Three letters picked without replacement from rxfrf. What is prob of picking 1 r and 2 f? 1/5 Two letters picked without replacement from eeevvexeednmdnv. Give prob of picking 1 n and 1 m. 2/105 Calculate prob of picking 3 w when three letters picked without replacement from {v: 2, w: 11}. 15/26 Calculate prob of picking 2 x and 2 z when four letters picked without replacement from xzzxxzzzzzx. 21/55 Three letters picked without replacement from khkihhkxitciiiicii. Give prob of picking 1 x and 2 c. 1/816 Four letters picked without replacement from {u: 1, y: 19}. What is prob of picking 3 y and 1 u? 1/5 Calculate prob of picking 2 x when two letters picked without replacement from rfryxfrrfrfroxr. 1/105 Calculate prob of picking 2 a when two letters picked without replacement from {b: 2, a: 2}. 1/6 Three letters picked without replacement from {o: 4, p: 4, j: 2, k: 6, s: 4}. What is prob of picking 2 s and 1 o? 2/95 Four letters picked without replacement from azakzkazz. Give prob of picking 1 k, 2 a, and 1 z. 4/21 Calculate prob of picking 2 m and 1 s when three letters picked without replacement from {x: 2, s: 2, m: 2}. 1/10 Three letters picked without replacement from qwwwgaagaal. Give prob of picking 2 g and 1 q. 1/165 Calculate prob of picking 1 y and 2 q when three letters picked without replacement from qqqqqqqqqyqqq. 3/13 Four letters picked without replacement from {w: 2, v: 2, h: 10}. Give prob of picking 1 v, 1 w, and 2 h. 180/1001 Two letters picked without replacement from ccdddd. Give prob of picking 2 c. 1/15 Two letters picked without replacement from hygoohyohyoooy. Give prob of picking 1 y and 1 o. 24/91 Calculate prob of picking 1 f and 2 a when three letters picked without replacement from afaaf. 3/5 Calculate prob of picking 3 p and 1 d when four letters picked without replacement from dzpdzzpzpzdzp. 12/715 Two letters picked without replacement from {d: 1, w: 1, l: 2, h: 1, m: 1, k: 1}. What is prob of picking 1 l and 1 m? 2/21 What is prob of picking 1 u and 3 x when four letters picked without replacement from {x: 3, u: 3}? 1/5 Four letters picked without replacement from {o: 8, e: 4, w: 8}. Give prob of picking 3 w and 1 o. 448/4845 What is prob of picking 2 w, 1 v, and 1 r when four letters picked without replacement from gyrwvwb? 1/35 Two letters picked without replacement from {d: 5, m: 4, t: 2}. Give prob of picking 1 m and 1 d. 4/11 Two letters picked without replacement from {p: 3, f: 2, t: 8, o: 7}. Give prob of picking 2 f. 1/190 What is prob of picking 1 o and 2 h when three letters picked without replacement from hoohooohohoohhhhohh? 135/323 What is prob of picking 2 k when two letters picked without replacement from hkchimhmcmmhkhchkh? 1/51 Calculate prob of picking 2 z and 2 n when four letters picked without replacement from {z: 1, x: 6, n: 2, g: 2}. 0 Two letters picked without replacement from gbbbnbnbggbbbgbb. Give prob of picking 1 b and 1 n. 1/6 Calculate prob of picking 1 w and 1 y when two letters picked without replacement from izyyzvivivvizwk. 2/105 Two letters picked without replacement from ssssssasssassa. Give prob of picking 2 a. 3/91 Calculate prob of picking 1 v, 2 o, and 1 u when four letters picked without replacement from zovooozzoovuvovm. 3/65 Two letters picked without replacement from mmmmkmmmmmk. Give prob of picking 2 k. 1/55 Three letters picked without replacement from {u: 15, o: 5}. What is prob of picking 3 o? 1/114 What is prob of picking 4 q when four letters picked without replacement from qqqqqqqqqq? 1 Four letters picked without replacement from pjpflfplefc. What is prob of picking 1 j, 1 p, 1 c, and 1 l? 1/55 What is prob of picking 1 r and 1 u when two let
{ "pile_set_name": "DM Mathematics" }
- 180, 4*w + 390 = 8*w + 2*f. What is the remainder when w is divided by 61? 39 Suppose 0 = -p + 5*c, 3*p - 19 = -5*c + c. Suppose 0*z + 52 = 2*l + p*z, -3*z = 2*l - 48. What is the remainder when 60 is divided by l? 18 Let z = 20 - 8. Suppose -p + z = 2*p. Let i(l) = 3*l - 4. Calculate the remainder when 14 is divided by i(p). 6 Suppose -573 = -v - 2*v + 3*x, -x = -5*v + 951. What is the remainder when -1*v/25*-5 is divided by 10? 8 What is the remainder when 65 is divided by (24/(-9))/(-4)*(-204)/(-8)? 14 Suppose 0 = 6*x - 258 + 30. Let c = -241 - -429. Calculate the remainder when c is divided by x. 36 Let i(k) = -k**3 + 15*k**2 + 126*k + 12. Calculate the remainder when i(-6) is divided by 8. 4 Let z be 144/27*(-174)/(-4). Suppose 6*j + 2*j - z = 0. Calculate the remainder when 114 is divided by j. 27 Let t = 456 - 447. Suppose r + 3*r - 14 = 2*h, 3*h - 3*r + 6 = 0. What is the remainder when t is divided by h? 0 Let h(c) = 40*c + 296. What is the remainder when 173 is divided by h(-6)? 5 Suppose 0 = 5*g + 5*v - 15, 2*v = 3*g - 14. Let f(q) = -q**3 + 4*q**2 + 3*q - 3. Let d(i) = -3*i - 31. Calculate the remainder when d(-21) is divided by f(g). 5 Let u(i) = 20*i**3 - 2*i**2 + 6*i - 1. Let d be u(2). Suppose 41 = w + 2*x - 4*x, 4*x = -5*w + d. Calculate the remainder when w is divided by 19. 16 Suppose 0 = 4*q + 2*s - 76, -5*q + 96 = s + 2*s. What is the remainder when 34 is divided by q? 16 Let f = -689 - -215. What is the remainder when (7/2 - 3)/((-3)/f) is divided by 40? 39 Let c(g) = -g**3 - 13*g**2 + 12*g + 3. What is the remainder when c(-14) is divided by 4? 3 Suppose -49*h = -66*h + 1428. What is the remainder when 414 is divided by h? 78 What is the remainder when 3 + (-868)/(-21) - (-4)/6 is divided by 25? 20 Let p(a) = 3*a - 6. Let b(d) = d**3 - 33*d**2 - 32*d - 24. Calculate the remainder when b(34) is divided by p(7). 14 Let s(b) = -10*b + 660. Calculate the remainder when 80 is divided by s(61). 30 Suppose 529*m = 523*m + 144. What is the remainder when m is divided by 8? 0 Let f(n) = 26*n**2 - 2*n - 1. Suppose -2*q = 5*v - 5 - 24, 5*v - 1 = 2*q. What is the remainder when f(-1) is divided by q? 6 Let y be (-42 + -2)*1/6*-3. Let s(m) = m**2 + m + 41. Let k be s(0). Let w = k - y. Calculate the remainder when w is divided by 11. 8 Let a(b) = -21*b - 3. Suppose -4*g + 1 = 4*u - g, g - 15 = -5*u. Let d be a(u). Let v = -58 - d. What is the remainder when 57 is divided by v? 28 Let t(a) = 1 - 11*a + 10*a**3 - 13*a**3 - 4*a**2 + 4*a**3 + 0. What is the remainder when 47 is divided by t(6)? 5 Let n be -2*(16/(-56) - 319/(-14)). Let y = 77 + n. What is the remainder when y is divided by 11? 10 Suppose -21*p + 1026 = -3*p. What is the remainder when p is divided by 22? 13 Suppose 12*i - 35 = 13*i. Let z = i + 35. Calculate the remainder when 29 is divided by 85/5 + (-1 - z). 13 Let w(j) = 2*j + 43. Suppose -4 + 42 = -2*s. Let l be w(s). What is the remainder when (-269)/(-5) + l/25 is divided by 28? 26 Suppose 242*m = 239*m + 546. What is the remainder when m is divided by 46? 44 Let d(m) = m**2 + 6*m + 14. Let p(b) = -2*b**2 - 13*b - 28. Let a(g) = -7*d(g) - 4*p(g). What is the remainder when 69 is divided by a(-10)? 13 Let w(y) = -15*y**3 - 12*y**2 + 2*y. Calculate the remainder when 182 is divided by w(-2). 46 Suppose 6*w + 2*l + 100 = 2*w, -2*w = 2*l + 50. Let i = -446 + 442. Calculate the remainder when 18 is divided by i/5*w/2. 8 Let g(x) = 3*x**2 - 16*x + 9. What is the remainder when 523 is divided by g(6)? 19 Let k(o) = o**3 + 7*o**2 + 16*o + 13. Let b be k(-6). Let a = 16 - b. Let v(j) = 23*j**2 - 2*j + 1. Calculate the remainder when a is divided by v(1). 19 Let t = 694 + -431. Suppose 4*y = 5*y - t. Suppose h + h - 49 = -a, -5*a = h - y. Calculate the remainder when a is divided by 19. 15 Suppose -328 = -6*p + 2*p. Calculate the remainder when p is divided by 45. 37 Suppose 42 - 22 = i. What is the remainder when 177 is divided by i? 17 Let o(c) = 9*c**3 - 2*c**2 - 2*c + 2. Calculate the remainder when -2 - (-4807)/38 - (-10)/(-4) is divided by o(2). 60 Suppose m = 4*m - 21. What is the remainder when 12/8*10*m is divided by 12? 9 Let f = 234 + 12. Calculate the remainder when f is divided by 21. 15 Suppose -3*j - 56 = -4*i, -2*j = i - 4*j - 9. What is the remainder when (-792)/(-16) + (-2)/4 is divided by i? 15 Suppose -3*g + 395 = -5*y - 8*g, -4*y - 325 = -5*g. Let r = y + 55. Let t = -14 - r. What is the remainder when 32 is divided by t? 10 Let c(q) = 2*q**2 - 18*q + 55. What is the remainder when c(13) is divided by 81? 78 Suppose -11 + 31 = 5*c. Suppose -5*m = 5*y - 90, c*y + 122 = 4*m + 26. Calculate the remainder when m is divided by 8. 5 Let l(j) = -j**3 + 13*j**2 - j - 12. Let d be l(13). Let s = -25 - d. Suppose s = i + i - 98. What is the remainder when i is divided by 26? 23 Calculate the remainder when 76 is divided by 27 - 1/(-3)*3 - 4. 4 Suppose 5*c - i = c + 312, -2*i = -c + 78. Suppose -7 + 1 = 2*o. What is the remainder when c is divided by (-3)/((-9)/51) - o? 18 Let r = 935 - 886. Calculate the remainder when r is divided by 20. 9 What is the remainder when (-1 + (-14)/4)*1050/(-63) is divided by 14? 5 Suppose 0 = 2*q - 8, 43*g = 42*g - q + 2972. Calculate the remainder when g is divided by 27. 25 Let x = -42 - -103. What is the remainder when x is divided by ((-4)/(-12)*-1)/(10/(-270))? 7 Let r(a) = -a**3 + 20*a**2 + 23*a - 24. Suppose -7 = -v + 14. Calculate the remainder when 87 is divided by r(v). 15 Suppose 2*b - 1 = -3*y, y - 4*b = -0*b + 19. Suppose y*a - 4*a = -8. Calculate the remainder when a is divided by 3. 2 Let g(p) = p**3 + 9*p**2 + 11*p - 16. Suppose 0 = -4*r - f + 69, 21 = r - 3*f - 6. What is the remainder when r is divided by g(-7)? 3 Suppose 2*p + 3*a = 6, -2*p + 4*a + 10 = -10. Suppose 65*n + 474 = 1189. Calculate the remainder when n is divided by p. 5 Let z = 105 + -107. Let h(d) = -5*d**3 - 4*d**2 - 6*d - 7. What is the remainder when h(z) is divided by 11? 7 Suppose 0 = -2*g + 5*r + 206, -20*g - 3*r + 557 = -13*g. Calculate the remainder when g is divided by 0 + 0 + 21 + 1. 17 Calculate the remainder when 98*(1 - 11/(-2)) is divided by 10. 7 Let u(o) = 15*o + 6. Let w(f) = -f - 4 - 10 + 2*f + 13. Let a(k) = u(k) + 6*w(k). What is the remainder when 41 is divided by a(1)? 20 Let p(x) = x + 14. Let d be -1 - (-2)/(-1) - 3. Let g be p(d). Calculate the remainder when 39/52 + 170/g is divided by 6. 4 Let z = -230 + 331. Suppose 5*q = -5*d + 125, d = -5*q + 4*d + z. Let p = 9 - -3. Calculate the remainder when q is divided by p. 10 Suppose -6*q + 9 = -9*q. Let d = -4 - q. What is the remainder when 11 is divided by d/(-1 - 12/(-16))? 3 Calculate the remainder when (-90)/(-495) - 2438/(-22) is divided by 14. 13 Calculate the remainder when -20*-26*(-1)/(-8) is divided by 47. 18 Suppose 0 = -5*v + 10, 3*v + 28 = 2*m + 18. Calculate the remainder when 247 is divided by m. 7 Let q be (10/(-6))/((-40)/48). Suppose -q*r + 49 = b, -4*b + r + 18 + 178 = 0. Calculate the remainder when b is divided by 25. 24 Suppose 0*x + 2*x = -8. Let f be 2*-28 - (5 + x). Calculate the remainder when 77 is divided by f/(3/(-1)) + 1. 17 Let r(d) be the first derivative of -d**4/4 - 2*d**3/3 + d**2 - 2*d + 4. What is the remainder when r(-4) is divided by (-6)/(-12)*(14 + -2)? 4 Suppose 0 = 13*n - 12*n - 2, -n - 20 = -f. Let o be 4/((2/5)/(-1)). Calculate the remainder when 4/o + 854/10 is divided by f. 19 Let o(n) be the first derivative of n**4/4 - 4*n**3/3 - 4*n**2 - 11*n + 15. Calculate the remainder when 1/(-1) - (1 + -25) is divided by o(6). 10 Let m = -169 - -120. Let x = m - -94. Suppose 0 = -0*p + 5*p - x. What is the remainder when 16 is divided by p? 7 Suppose -4*k - 56 = -5*x + 100, 0 = -2*x - 4*k + 68. Calculate the remainder when x is divided by 27. 5 Suppose -4*b - 6*m + 2 = 8, -5*b - 2*m = -20. Suppose -3*x - x = 20. Let d(v) = 2*v**2 + 6*v + 1. What is the remainder when d(x) is divided by b? 3 Let i(c) = 4*c**2 - 16*c - 45. What is the remainder when 66 is divided by i(7)? 27 Suppose 8*v = 3*v + 220. Calculate the remainder when 148 is divided by v. 16 Let c(h) = 6*h**2 - 7*h + 13. Let z be (-1 - -3) + -3 + 4 + 0. Calculate the remainder when c(z) is divided by 16. 14 Let o(f) = 27*f*
{ "pile_set_name": "DM Mathematics" }
*2 - l*f + 1/36*f**4. Factor k(b). b**2/3 Suppose -3/4 + 1/4*u**3 - 1/4*u - u**4 + 7/4*u**2 = 0. What is u? -1, -3/4, 1 What is y in -9*y**3 + 5*y**2 - 2*y - 3*y**4 + 3*y**5 + 0*y**4 - 4*y + 10*y**2 = 0? -2, 0, 1 Suppose 4*v + 3 = -5. Let w be (-1)/v + 21/18. What is h in -w*h**3 + 1/3*h - h**4 + 0 - 1/3*h**2 = 0? -1, 0, 1/3 Factor -15/7*i**3 + 12/7*i**4 + 0 + 3/7*i**2 + 0*i. 3*i**2*(i - 1)*(4*i - 1)/7 Let j(n) be the third derivative of -n**8/13440 + n**7/2520 - n**6/1440 + n**4/12 + 3*n**2. Let k(v) be the second derivative of j(v). Factor k(i). -i*(i - 1)**2/2 Let g(m) = 2*m - 8. Let p be g(6). Factor 3*c**5 - 2*c**3 + 52*c**4 + 6*c**3 - 18*c**4 - 26*c**p. c**3*(c + 2)*(3*c + 2) Let u(j) be the second derivative of -j**6/6 - j**5 - 5*j**4/4 + 27*j. Factor u(p). -5*p**2*(p + 1)*(p + 3) Let d be (-3)/4*2*(3 - 5). Determine v so that -v + 1/2*v**4 + 0 + 5/2*v**2 - 2*v**d = 0. 0, 1, 2 Let w = 792/5 - 158. Determine l so that -2/5*l + 0 + 0*l**2 + w*l**3 = 0. -1, 0, 1 Suppose -2*b - 2 = -8. Let i = b - 3. Factor i*w**3 - 1/4*w + 0 + 1/2*w**2 + 1/4*w**5 - 1/2*w**4. w*(w - 1)**3*(w + 1)/4 Let l = 1 - 0. Let -w**2 + w - 3*w + 2*w - 2*w - l = 0. What is w? -1 Suppose b = -3*b + 5*r + 41, -b = -r - 9. Factor 3*n**b - 3*n**2 + 4*n**2 - 5*n**5 - 2*n**2 + 3*n**5. -n**2*(n - 1)**2*(2*n + 1) Suppose 0 = -2*a + 3 + 3. Let z(w) be the first derivative of -1 + 0*w - 1/8*w**2 - 1/24*w**6 + 1/3*w**a + 1/5*w**5 - 3/8*w**4. Factor z(t). -t*(t - 1)**4/4 Let o be 116/(-10) - 10/25. Let b be (o/108)/((-1)/3). Find i such that 0 + 1/3*i**2 + b*i - 1/3*i**4 - 1/3*i**3 = 0. -1, 0, 1 Let r(m) = -m + 7. Let i be r(7). Suppose 0 = -0*k + 3*k. What is y in 2/5*y + k*y**2 + i - 2/5*y**3 = 0? -1, 0, 1 Let h(b) be the third derivative of b**9/1080 - b**8/504 - b**7/2520 + b**6/180 + b**5/15 - b**2. Let r(k) be the third derivative of h(k). Factor r(p). 2*(2*p - 1)**2*(7*p + 2) Let f = 6 - 3. Factor 2*y**3 + 3*y**2 + 3*y**2 + 4*y + 2*y - 1 + f. 2*(y + 1)**3 Find a, given that a + 4*a**2 + a - 6*a = 0. 0, 1 Let k be (-4)/(-16) - (-14)/8. Factor 0 - 2/5*d**k + 2/5*d. -2*d*(d - 1)/5 Let a(s) = -3*s**3 + 22*s**2 - 40*s - 80. Let j(d) = 3*d**3 - 23*d**2 + 41*d + 79. Let w(x) = -4*a(x) - 5*j(x). Factor w(g). -3*(g - 5)**2*(g + 1) Let m(z) be the first derivative of -z**3/21 - z**2/7 - z/7 - 13. Let m(k) = 0. Calculate k. -1 What is j in 2/15*j**5 + 0*j + 0 + 8/15*j**2 - 2/5*j**4 + 0*j**3 = 0? -1, 0, 2 Let s(k) be the third derivative of -k**5/12 - 5*k**4/24 + 5*k**3/3 + 17*k**2. Let s(m) = 0. What is m? -2, 1 Let t(w) be the first derivative of -3*w**4/2 + 10*w**3/3 - 2*w**2 - 4. Factor t(j). -2*j*(j - 1)*(3*j - 2) Let m(b) be the first derivative of 0*b**2 + 1/18*b**3 - b - 1/30*b**6 - 1 + 1/12*b**4 - 1/60*b**5. Let l(t) be the first derivative of m(t). Factor l(k). -k*(k - 1)*(k + 1)*(3*k + 1)/3 Let h = 4 - 2. Solve -2*w**4 + w**5 + 4*w - 6*w**3 + 0*w**5 + 2*w**h + w**5 = 0. -1, 0, 1, 2 Let a(q) be the third derivative of 8*q**7/105 - q**6/15 + q**5/60 + 3*q**2. Suppose a(z) = 0. What is z? 0, 1/4 Let l be 6*1/4 - (-45)/(-54). Factor 2/3*k**3 + 0 - 4/3*k**2 + l*k. 2*k*(k - 1)**2/3 Let i(t) be the first derivative of -9*t**5 - 25*t**4 - 65*t**3/3 - 5*t**2 + 6. Factor i(l). -5*l*(l + 1)**2*(9*l + 2) Let i = -2 + 8. Let s = -4 + i. Determine p so that -2/3 - 2/3*p**3 + 2/3*p**s + 2/3*p = 0. -1, 1 Let f(j) be the third derivative of -1/2*j**3 + 0 - 2*j**2 + 0*j - 1/360*j**6 + 1/30*j**5 - 1/6*j**4. Let p(y) be the first derivative of f(y). Factor p(b). -(b - 2)**2 Suppose -2/23*s**4 + 4/23*s**3 + 6/23*s**2 - 8/23 - 8/23*s = 0. Calculate s. -1, 2 Factor -8 + 12 - 4 - 16*c + 2*c**2. 2*c*(c - 8) Let t = -30 - -35. Suppose 9*w - 4*w = -m - 24, t*m = -w. Find p, given that -1/2*p - m + 1/2*p**2 = 0. -1, 2 Suppose 4*s - 10 = -0*n - 2*n, 0 = 3*s - 3*n - 12. Suppose -4*x - 4*x**2 - 6*x + 6*x - x**s = 0. What is x? -2, 0 Let s = -1964397/803 - -2552/73. Let u = s - -2413. Factor 0 + 14/11*r**4 + 0*r + 4/11*r**2 - u*r**3. 2*r**2*(r - 1)*(7*r - 2)/11 Let w(b) = -b - 12. Let d be w(-7). Let c be 8/160 + (-1)/d. Factor -1/4*j - c*j**2 + 0. -j*(j + 1)/4 Suppose 5*t = -10, -a + 0*t = -4*t - 1. Let s(q) = -q - 3. Let v be s(a). Factor 4*y**5 + 4*y**v - y**5 - y**3 - 4*y**2 - 2*y - y**2 + y**4. y*(y - 1)*(y + 1)**2*(3*y + 2) Determine s, given that 4*s**3 + 0*s + 5*s**4 - 9*s**4 + 4*s**2 - 4*s = 0. -1, 0, 1 Let x(b) be the first derivative of -b**8/7560 + b**6/1620 + 5*b**3/3 - 4. Let v(g) be the third derivative of x(g). Let v(o) = 0. Calculate o. -1, 0, 1 Let q = 6/7 - 17/28. Let a(r) be the first derivative of 1/4*r - q*r**2 + 1/12*r**3 - 1. Solve a(k) = 0. 1 Let d = 68/105 - -2/105. Let p be (-20)/12 - (-1 + -1). Factor p*g**3 - 1/3*g**2 + 0 - d*g. g*(g - 2)*(g + 1)/3 Let v be (-4)/10*(-1 - (-28)/(-7)). Let 4/3*l - 1/3*l**v - 4/3 = 0. Calculate l. 2 Let u be ((8 - -1)/9)/((-14)/(-4)). Solve 0*g - 2/7*g**3 - u*g**2 + 0 = 0 for g. -1, 0 Suppose -49*c = -44*c - 15. Factor -9/2*o**4 - 3*o**c + 0*o - 1/2*o**2 + 0 - 2*o**5. -o**2*(o + 1)**2*(4*o + 1)/2 Let f(u) = -u**2 - 20*u - 16. Let n be f(-19). Factor 0 - 2/9*i**n - 2/9*i + 4/9*i**2. -2*i*(i - 1)**2/9 Let j(u) be the first derivative of -4*u**3/3 + 2. What is s in j(s) = 0? 0 Let w = -61 - -185/3. Determine u so that w + 0*u - 2/3*u**2 = 0. -1, 1 Let d(h) be the second derivative of -h**4/78 + 4*h**3/39 - 4*h**2/13 - 2*h. Find q, given that d(q) = 0. 2 Let b(h) = h**3 + 12*h**2 + 11*h + 2. Let l be b(-11). Factor 38*f**3 + 2*f**4 - 40*f**3 + 0*f**5 - l*f**2 + 2*f**5. 2*f**2*(f - 1)*(f + 1)**2 Let -56/3*v**2 + 56/3*v**4 + 30*v**5 - 8/3*v + 0 - 82/3*v**3 = 0. What is v? -1, -2/5, -2/9, 0, 1 Find f, given that 9*f**2 + 11*f**2 + 12*f + 8*f**3 - 3 - 2*f**3 - 35*f**2 = 0. 1/2, 1 Let l(r) be the third derivative of -r**5/20 - 4*r**4/5 - 6*r**3/5 + 14*r**2. Factor l(p). -3*(p + 6)*(5*p + 2)/5 Let j(h) be the third derivative of 9*h**7/70 + 3*h**6/5 + 13*h**5/20 + h**4/4 - 3*h**2. Factor j(b). 3*b*(b + 2)*(3*b + 1)**2 Suppose -p - 3*p + 6 = -o, 0 = -3*p - 5*o + 16. Suppose -5*a + p*a + 12 = 0. Factor -m**4 + 4*m**4 - 4*m**4 - 2*m**3 - m**a. -2*m**3*(m + 1) Factor 2/7*c**2 + 0 + 2/7*c - 2/7*c**4 - 2/7*c**3. -2*c*(c - 1)*(c + 1)**2/7 Let q be (-8)/(24/(-23)) - 7. Factor q*u**2 + 2/3*u + 0. 2*u*(u + 1)/3 Solve 0*c + 3/4*c**3 + 7/4*c**5 + 0 - 1/2*c**2 + 3*c**4 = 0. -1, 0, 2/7 Solve 110*f**2 + 16*f + 212*f**4 + 114*f**3 + 56*f**5 + 2*f**2 + 138*f**3 = 0. -2, -1, -1/2, -2/7, 0 Let m be 84/24*(3 + -1) + -7. Factor 1/3*n**3 + m*n + 0 + 2/3*n**2. n**2*(n + 2)/3 Let f = -148810/207597 - 6/5323. Let c = 18/13 + f. Find a such that 4/3*a**3 + 0*a**2 - 2/3*a**5 - c*a + 0 + 0*a**4 = 0. -1, 0, 1 Determine m, given that -12/5 - 2/5*m + 2/5*m**2 = 0. -2, 3 Let h(r) be the second derivative of r**7/1260 - r**5/60 - 5*r**4/12 + 2*r. Let t(w) be the third derivative of h(w). Factor t(g). 2*(g - 1)*(g + 1) Let v(d) be the second derivative of -d**5/90 - d**4/27 - 11*d. Factor v(l). -2*l**2*(l + 2)/9 Let v(b) = 2*b**2 + 6*b - 8. Let n(p) = -p**2 - 3*p + 4. Let i(r) = 9*n(r) + 4*v(r). Find l such that i(l) = 0. -4, 1 Let g(z) = -1. Let y(x) = 34*x**2 + 46*x - 32. Let h(s) = -4*g(s) - y(s). Let b(q) = 7*q**2 + 9*q - 7. Let o(a) = -16*b(a) - 3*h(a). Factor o(d). -2*(d + 1)*(5*d - 2) Let l(m) be the third derivative of -m**6/780 - m**5/195 - 10*m**2 - m. Factor l(r). -2*r**2*(r + 2)/13 Let c = -9 + 7. Let d be (16/5 - 1) + c. Solve -d + 0*n + 1/5*n**2 = 0 for n. -1, 1 Let a = -79/7 + 7038/623. Let t = 173/445 + a. What is g in 0 - t*g - 2/5*g**2 = 0? -1, 0 Let o(f) be the first derivative of -f**3/3 + 3*f**2/2 - 2. Factor o(v). -v*(v - 3) Factor -2/5*x**3 - 2/5*x**2 + 2/5*x + 0 + 2/5*x**4. 2*x*(x - 1)**2*(x + 1)/5 Let y be (-3 - 6)*(-3)/(-1). Let j = y - -29. Find b such that -12/7*b**3 - 8/7*b**4 + 0 - 2/7*b - 8/7*b**j - 2/7*b**5 = 0. -1, 0 Let m be 6/18 - (-10)/6. Let z(g) be the second derivative of 1/6*g**4 + 0 - 1/15*g**6 + 2*g + 1/42*g**7 - 1/6*g**3 + 0*g**5 + 0*g**m. Factor z(l). l*(l - 1)**3*(l + 1) Let z(y) be the first derivative of y**5/120 - y**4/72 - 4*y + 3. Let k(u) be the first derivative of z(u). Find i such that k(i) = 0. 0, 1 Let t = 98 + -70. Let q = 31 - t. Factor -1/2*r**q - 1 + 1/2*r + r**2. -(r - 2)*(r - 1)*(r + 1)/2 Find h such that 0 - 2/3*h + 1/3*h**2
{ "pile_set_name": "DM Mathematics" }
845367 at least as big as -6845368? True Is -6 equal to 578044? False Which is smaller: -13935287 or -13935289? -13935289 Is 1 greater than or equal to 2499/24748? True Which is smaller: 1 or 1307/369926? 1307/369926 Are -4/33022085 and 1 nonequal? True Which is bigger: 2188727 or 6566183/3? 6566183/3 Which is bigger: 324768/181 or 1793? 324768/181 Is -66 < 1860519? True Is 1 >= -10/1553001? True Is -21076 less than or equal to -0.59756? True Which is greater: -853 or -1195777? -853 Which is bigger: 4/234677471 or 0? 4/234677471 Is -3677586 greater than -3677591? True Which is greater: -935794 or 486? 486 Which is greater: 1 or -9/620300? 1 Is 31229961 >= 31229968? False Does -4128163 = -6? False Is -0.1 at least as big as 172831? False Which is smaller: 130066 or 5462767/42? 5462767/42 Which is bigger: 5975 or -6.09? 5975 Is 7622849 less than or equal to 7622746? False Are 1698253 and -2/11 non-equal? True Which is bigger: 9768761 or 9768758? 9768761 Which is greater: 19585 or 15719? 19585 Is 20510 at most 20541? True Is -12805/6101 less than -1? True Which is smaller: -74400 or -45? -74400 Is 1710.331 != 0.06? True Is -148/2425855 < 0? True Is -54976 < -54983? False Which is smaller: -16 or 1946/153? -16 Is 6946845 equal to 6946827? False Is 154154 > 154210? False Which is smaller: -18068 or 826? -18068 Is 0 equal to 46/1298211? False Which is smaller: 536214/11 or 48748? 536214/11 Is 9014 bigger than -1323/2? True Which is smaller: 44864/20591 or 1? 1 Is -70637/1895 at least -36? False Is -89654 bigger than -89654? False Is 2731260 bigger than 6? True Are -390466844/3 and -130155616 nonequal? True Is 146686 smaller than 146686? False Which is greater: 11 or 207764? 207764 Is -180/493093 smaller than 1? True Is 132948016 > 132948016? False Which is bigger: -23436/4073 or 4? 4 Which is bigger: -28975002 or -28975006? -28975002 Is 341697 >= 1021? True Is -586088/49 bigger than -11961? True Is 318690 not equal to 318630? True Which is greater: -67103386 or -67103371? -67103371 Which is bigger: 8725214 or 8725218? 8725218 Which is bigger: 1/23 or 603853/6? 603853/6 Are -756/1154557 and 1 equal? False Which is greater: -796 or 89881? 89881 Is 12096924/145 != 83427? True Which is smaller: 1/780844701 or -1? -1 Is 30833 equal to 1752? False Is 1/3 greater than -100773699/7? True Which is smaller: 16345297 or 16345298? 16345297 Is -269792/337 != 2/5? True Which is bigger: -82679 or -8350448/101? -8350448/101 Which is bigger: 1 or 337/479443? 1 Which is greater: 541353 or 544342? 544342 Which is smaller: -2/14987 or 0.752? -2/14987 Is -1/347958433 greater than 0? False Which is greater: 1/43133 or 1.522? 1.522 Does -99861350 = -99861349? False Is 98.1 equal to 355284? False Is -5275398 bigger than -5275415? True Which is smaller: 21218/5629 or 4? 21218/5629 Is 1 at least 11/38776? True Which is smaller: 8 or -17891236? -17891236 Which is greater: -3379/25251 or -1? -3379/25251 Which is bigger: 14432 or 5852? 14432 Which is greater: 235009075 or 235009080? 235009080 Is -31400 smaller than -5117984/163? True Which is smaller: -540/7 or 443662? -540/7 Is -22715335 bigger than 3? False Is -1356/9919 less than 1? True Which is smaller: -49444381 or -49444383? -49444383 Which is smaller: -1/321 or 96560? -1/321 Which is smaller: 0 or -564/53513? -564/53513 Is 2779308 less than or equal to 2779313? True Which is smaller: 209558 or 209578? 209558 Which is smaller: -619941 or -619991? -619991 Does -25107126/61 = -411593? False Is -68516504/5 bigger than -13703301? True Is -9145270 less than -9145273? False Which is smaller: -430224 or -430357? -430357 Which is smaller: -69844 or -69972? -69972 Which is bigger: 1060/134921 or 1? 1 Which is greater: -216 or 11570/141? 11570/141 Which is smaller: -113523474 or -113523473? -113523474 Which is bigger: 132148 or 132144? 132148 Which is bigger: -1891167 or 1/20? 1/20 Is -197125/773 < -254? True Which is greater: -148/342461 or 0? 0 Is -140 >= -22540/13? True Is -126597591 != -126597588? True Which is greater: 0 or 5/8027626? 5/8027626 Are -12/2783449 and -1 nonequal? True Is -1 <= -2/6696567417? True Which is smaller: 457139 or 457028? 457028 Which is bigger: -2/59 or 286894? 286894 Is -1176.511 <= 430? True Which is smaller: 820099 or 820121? 820099 Which is smaller: -7598303 or -7598295? -7598303 Is -1 < -408/75523? True Which is smaller: 26532138 or 26532129? 26532129 Which is smaller: -9540699 or -9540704? -9540704 Is -150373457/9 > -16708161? False Do 1104267 and 629 have the same value? False Is -882997413 < -882997415? False Is 201788/103 at most 1958? False Which is greater: 626020 or 625529? 626020 Is 544943 > 546824? False Which is bigger: 170920144 or 1? 170920144 Which is greater: 0.0130431 or -2? 0.0130431 Are 357627 and 357955 non-equal? True Which is bigger: -151/231845 or -1? -151/231845 Which is greater: 1 or 34260/119383? 1 Is 210868 at least 210915? False Which is greater: 9 or 12076856? 12076856 Which is smaller: 1.31 or -868.435? -868.435 Which is greater: 1 or 226/1811525? 1 Which is smaller: -293247 or -23752924/81? -293247 Is 0 at most -5/49842997? False Is -4712900 greater than or equal to -4712901? True Which is smaller: 7 or -1.737475? -1.737475 Does 1 = -5/145941? False Do 168350000 and 168349998 have the same value? False Which is smaller: 1 or 95/3752812? 95/3752812 Which is smaller: 1/87336 or -1/256? -1/256 Which is smaller: 0.34709 or 5588? 0.34709 Which is smaller: 113037 or 113508? 113037 Is 0 bigger than 114/4078667? False Which is smaller: 7/41064641 or -1? -1 Which is smaller: -41/3329161 or 0? -41/3329161 Is 0 >= 5697/80164? False Is -2546 smaller than -13021? False Which is bigger: 11/14954141 or 0? 11/14954141 Is -125722 <= -125747? False Is 24975940 at most 24975946? True Is 2477 != 6476? True Is 4/3445901 not equal to -1? True Which is bigger: -1 or -127/7258826? -127/7258826 Is -1 < 1736/3481? True Which is smaller: 7 or -39769/30? -39769/30 Is 34790 at most 34787? False Does 2/19 = 71124973? False Which is smaller: 20/61 or -7532? -7532 Is 1478317 > 1478302? True Which is smaller: 6746464/3 or 2248820? 2248820 Is 129/20 bigger than -183111? True Is -25 less than -301758/12329? True Does -9/5204026 = -1? False Is 36980.9 equal to -0.001? False Which is smaller: -1 or -230/4753129? -1 Which is bigger: 1 or 97/24453? 1 Are -2781567 and -2781566 equal? False Is 14/9 at least -499032? True Are -31163420 and -31163414 nonequal? True Is -204268 less than -205108? False Which is bigger: -541.13 or 0.064? 0.064 Which is smaller: -5 or -10629/2774? -5 Is 14027797 greater than 14027799? False Which is greater: -1069 or -104669/98? -104669/98 Which is smaller: -324712 or -324719? -324719 Which is smaller: -0.16077 or 27.16? -0.16077 Which is smaller: -137609/2065 or -66? -137609/2065 Is 23987 <= 24001? True Is -2937041/239 less than or equal to -12288? True Are 506790 and 506740 nonequal? True Is -539549 greater than or equal to -539539? False Is -8001259 greater than -8001259? False Which is smaller: 193301 or 107? 107 Is 0 >= 168/14905? False Are -665624 and 297 equal? False Is 328463 at least as big as -0.02137? True Which is bigger: -45863 or -47431? -45863 Is 24/55231 bigger than 0.1? False Is -133336 equal to -2533382/19? False Which is bigger: 5 or -1.00686555? 5 Which is smaller: -34894045 or -34894050? -34894050 Is -6479 not equal to -453491/70? True Which is bigger: 0.2 or -100462? 0.2 Is 2230599 at least as big as 2230593? True Is -3164692/3 at least as big as -1054898? True Which is smaller: -437524 or 39? -437524 Is -2392738 less than -2392530? True Does 47520015 = 47520015? True Is 884311 < 884331? True Is -43208 < -11018323/255? False Is 895958 not equal to 895972? True Is 953 not equal to -4069? True Which is smaller: -118168430 or -118168438? -118168438 Are -70/64157587 and 1 non-equal? True Which is bigger: -49385969 or -49386000? -49385969 Which is greater: 0.27 or 0.158945? 0.27 Are -275447 and -275740 nonequal? True Which is bigger: 3871929 or 14? 3871929 Is 5154 at most 154609/30? False Are 6753/111857 and 0 nonequal? True Which is smaller: 31382/601 or 52? 52 Are 578273 and 578214 nonequal? True Is -47.003 <= -283/4? False Which is greater: 161 or 183? 183
{ "pile_set_name": "DM Mathematics" }
000 What is -64148.1 rounded to the nearest 1000? -64000 Round -0.02492227 to three decimal places. -0.025 Round -33965.1 to the nearest 1000. -34000 What is -0.0446759 rounded to 2 decimal places? -0.04 What is -0.001052269 rounded to four decimal places? -0.0011 What is -85255800 rounded to the nearest one million? -85000000 What is -42.95551 rounded to the nearest ten? -40 Round 9644720 to the nearest 1000000. 10000000 Round -90361900 to the nearest 100000. -90400000 What is -0.000001041239 rounded to six dps? -0.000001 Round -15418.99 to the nearest ten. -15420 Round -9717.902 to the nearest 10. -9720 Round 382049.71 to the nearest 100. 382000 What is -0.016947187 rounded to three dps? -0.017 What is 0.000592675 rounded to 4 dps? 0.0006 What is 1476.5214 rounded to the nearest one hundred? 1500 Round -58335.76 to the nearest ten. -58340 Round -3.159484 to 1 dp. -3.2 What is 1.313775 rounded to three dps? 1.314 Round -0.00120453 to 5 dps. -0.0012 Round 322156 to the nearest one thousand. 322000 What is -0.08442592 rounded to two dps? -0.08 Round 2.097617 to three dps. 2.098 What is -61474.37 rounded to the nearest ten? -61470 Round 4.1343 to 1 dp. 4.1 Round -0.0005649042 to 7 dps. -0.0005649 Round 1071571000 to the nearest one million. 1072000000 What is 0.00048892 rounded to four dps? 0.0005 What is -26507070 rounded to the nearest 1000000? -27000000 What is -0.165238 rounded to two decimal places? -0.17 What is 1999.09 rounded to the nearest one hundred? 2000 Round 0.000012846326 to six decimal places. 0.000013 What is -0.00000846859 rounded to seven decimal places? -0.0000085 What is -0.01287 rounded to five decimal places? -0.01287 Round -0.00111973 to four decimal places. -0.0011 What is -0.0000639064 rounded to 6 dps? -0.000064 Round 64.545 to the nearest one hundred. 100 Round 10787.18 to the nearest one thousand. 11000 What is 889.398 rounded to the nearest one thousand? 1000 Round 0.000081956 to six decimal places. 0.000082 What is -131.389 rounded to 0 dps? -131 Round 3165.25 to the nearest 1000. 3000 Round -2156472 to the nearest one thousand. -2156000 Round -28170237 to the nearest 100000. -28200000 What is 0.02270589 rounded to 3 decimal places? 0.023 Round 0.1871715 to one dp. 0.2 What is 0.14095367 rounded to 3 decimal places? 0.141 What is -3382.9473 rounded to the nearest 10? -3380 Round 3.96622 to zero dps. 4 What is 493243 rounded to the nearest 10000? 490000 Round -616329000 to the nearest one million. -616000000 What is -88834400 rounded to the nearest 1000000? -89000000 What is -0.00947349 rounded to five decimal places? -0.00947 Round 0.120127 to 2 decimal places. 0.12 What is 1111110 rounded to the nearest one thousand? 1111000 Round 0.01707008 to two decimal places. 0.02 What is -34873.094 rounded to the nearest 1000? -35000 What is 1.7552955 rounded to one dp? 1.8 What is 2426600 rounded to the nearest 1000? 2427000 What is -0.0004150879 rounded to 6 decimal places? -0.000415 What is 778.0637 rounded to the nearest 100? 800 What is 0.001273506 rounded to 5 decimal places? 0.00127 What is -348577900 rounded to the nearest 1000000? -349000000 Round 0.0000562081 to 6 dps. 0.000056 What is 0.01701204 rounded to three decimal places? 0.017 Round 5.055017 to 3 dps. 5.055 What is 40458.9 rounded to the nearest one hundred thousand? 0 What is 89.6877 rounded to 1 dp? 89.7 Round 0.5237486 to two dps. 0.52 Round 414.77264 to one decimal place. 414.8 What is -287083 rounded to the nearest ten thousand? -290000 Round -0.0002332834 to 6 dps. -0.000233 Round 428.4317 to the nearest 10. 430 Round 3332.022 to the nearest 10. 3330 What is -363.8157 rounded to the nearest 100? -400 Round -0.03099726 to 3 decimal places. -0.031 What is -7.24341 rounded to one dp? -7.2 Round 699114.9 to the nearest 1000. 699000 What is -166474.77 rounded to the nearest one hundred? -166500 Round 0.0000008343152 to seven dps. 0.0000008 What is -18.11955 rounded to 1 decimal place? -18.1 Round 0.000011691917 to 6 dps. 0.000012 Round 1.98496 to one decimal place. 2 What is 0.00941929 rounded to four dps? 0.0094 What is 46424.15 rounded to the nearest one thousand? 46000 Round -2.6917476 to two decimal places. -2.69 Round -8.79104 to two decimal places. -8.79 Round -0.023412948 to 5 dps. -0.02341 Round 953.974 to the nearest one hundred. 1000 Round 186591 to the nearest ten thousand. 190000 Round -0.00000135613 to 7 decimal places. -0.0000014 Round 413087.5 to the nearest 10000. 410000 What is -4.5120959 rounded to one dp? -4.5 Round 1246.378 to the nearest integer. 1246 Round 368.322 to the nearest integer. 368 What is -0.0001881689 rounded to 6 dps? -0.000188 What is -0.00000097172 rounded to 6 dps? -0.000001 What is 153.7 rounded to the nearest integer? 154 Round -0.8665951 to four dps. -0.8666 Round -0.010221203 to 5 dps. -0.01022 What is 0.015263562 rounded to four decimal places? 0.0153 What is -0.1849784 rounded to two dps? -0.18 What is -44.7043 rounded to 1 decimal place? -44.7 What is -2.85541 rounded to one dp? -2.9 What is 671020400 rounded to the nearest one hundred thousand? 671000000 What is -0.000000855267 rounded to 7 dps? -0.0000009 What is 0.144811615 rounded to five decimal places? 0.14481 Round 0.00553966 to 4 dps. 0.0055 Round 3.9404309 to one decimal place. 3.9 Round -158300.6 to the nearest 1000. -158000 Round 8.5432 to the nearest integer. 9 Round -3965870 to the nearest one hundred thousand. -4000000 Round 10.2679 to two dps. 10.27 What is 15215040 rounded to the nearest one hundred thousand? 15200000 What is 2022.94 rounded to the nearest one thousand? 2000 What is -2328210 rounded to the nearest ten thousand? -2330000 What is -0.0331134 rounded to three decimal places? -0.033 Round 746.888 to zero dps. 747 What is 13491 rounded to the nearest 100? 13500 Round 1.007839 to one dp. 1 Round 6044359 to the nearest 100000. 6000000 What is -0.000463179 rounded to four decimal places? -0.0005 What is 50452.469 rounded to the nearest 10? 50450 Round -123.40334 to 2 dps. -123.4 Round 0.000380375 to 4 decimal places. 0.0004 What is -413129.4 rounded to the nearest ten thousand? -410000 Round -500.87595 to one dp. -500.9 Round 6582.29 to the nearest 10. 6580 What is -11.92266 rounded to 1 dp? -11.9 What is -20.42513 rounded to one decimal place? -20.4 What is 27.982501 rounded to 0 dps? 28 What is -43934790 rounded to the nearest 100000? -43900000 What is 1.1943699 rounded to two dps? 1.19 What is 562941.56 rounded to the nearest 100? 562900 Round -8859290 to the nearest ten thousand. -8860000 What is 9.6184 rounded to the nearest integer? 10 Round 94075.3 to the nearest one thousand. 94000 Round 49.0466 to 1 dp. 49 What is -967.7036 rounded to the nearest 100? -1000 Round 0.12256712 to 3 decimal places. 0.123 What is 1011773 rounded to the nearest 100000? 1000000 What is -0.0003000166 rounded to 7 dps? -0.0003 Round -0.00024211 to five decimal places. -0.00024 What is 0.000626367 rounded to 6 decimal places? 0.000626 Round 8.147495 to 2 dps. 8.15 Round -8483726 to the nearest 10000. -8480000 What is -8438163.7 rounded to the nearest 10000? -8440000 Round -0.6744957 to three decimal places. -0.674 Round 0.00005186856 to five decimal places. 0.00005 What is 0.0014336 rounded to 2 decimal places? 0 What is -0.00005508389 rounded to seven dps? -0.0000551 Round 0.0000325811 to 7 dps. 0.0000326 What is 2.495639 rounded to 3 dps? 2.496 Round 0.00188279 to 5 decimal places. 0.00188 What is -903.313 rounded to the nearest ten? -900 Round -29689.814 to the nearest one hundred. -29700 What is 0.000001187736 rounded to 7 decimal places? 0.0000012 What is 21125.26 rounded to the nearest 1000? 21000 Round -97.49385 to the nearest integer. -97 Round -0.000354794 to four decimal places. -0.0004 What is 21126.734 rounded to the nearest one thousand? 21000 What is -468453.1 rounded to the nearest one hundred thousand? -500000 Round 1.53276 to 1 dp. 1.5 What is -72.7509 rounded to 1 decimal place? -72.8 What is -21674394 rounded to the nearest 1000000? -22000000 Round 1.1543079 to 3 dps. 1.154 Round 2212007.6 to the nearest 100. 2212000 What is 0.0090763 rounded to 3 dps? 0.009 Round -0.1073391 to four decimal places. -0.1073 What is -0.026076181 round
{ "pile_set_name": "DM Mathematics" }
et h be (-25)/(-15)*(-5)/(-25). Let a(k) be the first derivative of 7 + h*k**3 + 0*k**4 + 1/3*k**6 - 3/5*k**5 + 0*k + 0*k**2. Solve a(g) = 0 for g. -1/2, 0, 1 Suppose 8*f - f = 14. Solve 3*c**2 - 6*c + 5*c**f + 11*c - 11*c - 2*c**3 = 0. 0, 1, 3 Suppose -12*z + 29*z - 77*z = 0. Solve -5/6*t**3 + z*t + 0 + 1/3*t**4 + 5/6*t**5 - 1/3*t**2 = 0 for t. -1, -2/5, 0, 1 Let y(l) be the second derivative of -l**6/120 - 13*l**5/16 - 483*l**4/16 - 3969*l**3/8 - 9261*l**2/4 + 115*l + 2. What is q in y(q) = 0? -21, -2 Let p = 47 + -41. Suppose -5*i - 5*z = 0, 2*i + z = p*z. Determine g, given that 2/11*g**4 + i*g**3 + 0 + 4/11*g - 6/11*g**2 = 0. -2, 0, 1 Let a be (5 - 1) + 24/3. Let -30*l - a*l**4 + 24*l - 3*l**2 + 15*l**4 + 9*l**3 - 3*l**5 = 0. What is l? -1, 0, 1, 2 Factor -207*s**2 + 38*s + 318*s**2 - 112*s**2 + 39. -(s - 39)*(s + 1) Let u(b) = 3*b**2 + b + 1. Let w(s) = 10*s**2 - 155*s + 345. Let c(n) = 5*u(n) - w(n). Suppose c(l) = 0. What is l? -34, 2 Suppose -h + 9*h - 56 = 0. What is l in -l**3 - l**3 + h*l**2 - l**2 = 0? 0, 3 Solve 8710/3*d**3 + 0 + 0*d - 8450/3*d**2 + 2/3*d**5 - 262/3*d**4 = 0. 0, 1, 65 Suppose 5*a - 37 = 2*d - 3, d + 13 = 2*a. Let m(f) be the first derivative of 2/3*f**3 + 4*f**2 + 4 + a*f. Factor m(y). 2*(y + 2)**2 Let k(q) be the first derivative of -5*q + 0*q**2 + 0*q**3 - 1/72*q**4 - 1/120*q**5 + 5. Let x(f) be the first derivative of k(f). Factor x(d). -d**2*(d + 1)/6 Suppose -38*z - 248 = -42*z. Let r = z + -247/4. Let -1 - 5/4*y**2 + 2*y + r*y**3 = 0. What is y? 1, 2 Let c(w) be the second derivative of -w**5/5 - 2*w**4 + 14*w**3/3 - 150*w. Determine d so that c(d) = 0. -7, 0, 1 Let u be ((-4)/(-6))/((-25)/(-5) + 485/(-105)). Factor u*w**4 + 0 - 1/2*w - 7/4*w**2 + 1/2*w**3. w*(w - 1)*(w + 1)*(7*w + 2)/4 Let g be (4/(24/(-81)))/((-3)/(-4)). Let q be (-1 - g/15)*19 + -3. Let 2/5*u**3 + q*u + 0 + 6/5*u**2 = 0. Calculate u. -2, -1, 0 Let n(s) = s + 8. Let k be n(-4). Suppose 3*j - 19 = -0*j + d, -k*j = -d - 25. Factor 8*f + 2*f**2 + 5 + j - 4 - 1. 2*(f + 1)*(f + 3) Let d be -4 - 352/66*9/(-6). Factor -4/3 - k**2 + 2/3*k**3 + 1/3*k**d - 8/3*k. (k - 2)*(k + 1)**2*(k + 2)/3 Let x(t) be the second derivative of 5*t**7/42 + 3*t**6/5 + 9*t**5/20 - 5*t**4/3 - 2*t**3 - 342*t. Find v, given that x(v) = 0. -2, -3/5, 0, 1 Let d be ((5/(-8))/(50/60))/((-27)/8). Factor 4/9 - d*h - 2/9*h**2. -2*(h - 1)*(h + 2)/9 Let z(h) = h**3 - 7*h**2 + 7*h + 17. Let k be z(5). Let 3/5 - 2/5*d - 1/5*d**k = 0. Calculate d. -3, 1 Suppose 5*t - 61 - 34 = 0. Suppose 3*f + 10 = t. Factor -18/11*g**f - 10/11*g**5 - 2/11*g**2 + 0 + 4/11*g + 26/11*g**4. -2*g*(g - 1)**3*(5*g + 2)/11 Let g(w) be the second derivative of -9*w**6/80 - 11*w**5/40 + w**4 + w**3 - w**2/2 + 8*w. Let k(l) be the first derivative of g(l). Factor k(v). -3*(v - 1)*(v + 2)*(9*v + 2)/2 Factor -3/2*r**2 - 1/2*r**3 + 13/2*r + 15/2. -(r - 3)*(r + 1)*(r + 5)/2 Let v = -16293/7 - -97891/42. Let p = 152/3 - 50. Find f, given that -5/6 + p*f**2 - v*f = 0. -1/4, 5 Let y(w) be the second derivative of w**6/10 - 11*w**4/4 - 9*w**3 - 12*w**2 - 16*w. Find d such that y(d) = 0. -2, -1, 4 Let t(z) be the third derivative of -z**7/105 + z**6/30 - z**4/6 + z**3/3 + 9*z**2 - 6*z. Let t(x) = 0. Calculate x. -1, 1 Suppose -3*l + 2*x + 2 = 0, 0 = -4*l - 2*x - 2 - 14. Let z be l/((-39)/(-9) + -5). Factor -2/3*w + 2/3*w**4 + 2*w**2 + 0 - 2*w**z. 2*w*(w - 1)**3/3 Let i(r) be the second derivative of 3*r**5/10 - 10*r**4/3 - 12*r**3 + 32*r**2 - 89*r. Factor i(a). 2*(a - 8)*(a + 2)*(3*a - 2) Let x(i) = i**2 + 29*i + 4. Let j be x(-29). Let k(p) be the first derivative of j*p**2 - 2/3*p**3 - 6*p - 2. What is o in k(o) = 0? 1, 3 Let s(m) = 4*m + 49. Let c be s(-10). Let d be (8/(-30))/((-6)/c). Factor 2/5*o + 0 - d*o**2. -2*o*(o - 1)/5 Let s(f) be the third derivative of f**8/2184 - f**6/390 + f**4/156 - 2*f**2 + 21*f. Factor s(t). 2*t*(t - 1)**2*(t + 1)**2/13 Suppose 1 = -2*l - 4*g - 1, -l + 2*g = -7. Let i(b) be the second derivative of 1/9*b**4 + 0 + 0*b**l + 5*b + 0*b**2. Suppose i(z) = 0. Calculate z. 0 Let k(b) be the second derivative of b**6/360 + b**5/12 + 25*b**4/24 - 31*b**3/6 - 18*b. Let l(f) be the second derivative of k(f). Let l(a) = 0. Calculate a. -5 Let g be ((-9)/126)/(54/(-21)). Let a(k) be the third derivative of 0 - 1/180*k**6 + 0*k - 1/180*k**5 + 4*k**2 + g*k**4 + 1/630*k**7 + 0*k**3. Factor a(i). i*(i - 2)*(i - 1)*(i + 1)/3 Let w be (-1 - 2) + 2 + 6. Let j(z) be the first derivative of 2/3*z**3 - z + 0*z**2 - 2 - 1/5*z**w + 0*z**4. Find p such that j(p) = 0. -1, 1 Let l = 7/27 + -5/54. Let j(o) be the third derivative of l*o**3 + 0 + 1/120*o**6 + 1/8*o**4 + 1/20*o**5 + 0*o + 2*o**2. Factor j(y). (y + 1)**3 Let n(p) = p**3 + 6*p**2 - 8*p - 4. Let c be n(-7). Let u = c - 1. Factor -s + 1 - 3*s**3 + 2*s**3 + 2*s**3 - s**u. (s - 1)**2*(s + 1) Let f(m) be the first derivative of -3/34*m**4 + 4/17*m - 16/51*m**3 - 14 - 3/17*m**2. Let f(n) = 0. Calculate n. -2, -1, 1/3 Let u(h) = 7*h**2 + 18*h - 21 - 19*h**2 + 15*h. Let n(p) = 3*p**2 - 8*p + 5. Let c(x) = 9*n(x) + 2*u(x). Factor c(g). 3*(g - 1)**2 Let l(t) = t**2 - 15*t + 11. Let w be l(14). Let j be (3 - (-10)/8) + w + 0. Factor -1/2*a**2 - 1/2 + j*a. -(a - 2)*(2*a - 1)/4 Factor -2/7*i**3 - 6/7*i - 20/7 + 12/7*i**2. -2*(i - 5)*(i - 2)*(i + 1)/7 Let m(q) be the first derivative of -2*q**3 + 9*q**2/2 + 3*q - 15. Let j(i) = 7*i**2 - 9*i - 4. Let k(t) = 3*j(t) + 4*m(t). Determine s, given that k(s) = 0. 0, 3 Let l(u) be the third derivative of -4*u**8/147 - 16*u**7/245 - 3*u**6/70 - u**5/105 + 2*u**2 - 4*u. Factor l(x). -4*x**2*(x + 1)*(4*x + 1)**2/7 Let p(w) be the third derivative of 7*w**2 + 1/60*w**6 + 4/3*w**3 - 7/12*w**4 + 0*w + 0 + 1/15*w**5. What is m in p(m) = 0? -4, 1 Suppose -m + 37 = 3*m - 5*g, -5*g - 13 = 4*m. Suppose 3*k + 5*a = -14, 0 = -3*k + 4*a + 12 + 10. Solve 4 + 8*b + 14 - 6 - 7*b**2 + m*b**k = 0. -1, 3 Let y(s) be the second derivative of -s**7/14 + 3*s**6/10 + 3*s**5/20 - 11*s**4/4 + 6*s**3 - 6*s**2 + s + 239. Let y(i) = 0. Calculate i. -2, 1, 2 Suppose -u - 1 = -10. Solve 2*g**2 + 16*g**4 + 5*g**5 + u*g**3 - 7*g**4 + 3*g**4 = 0 for g. -1, -2/5, 0 Let r(v) = v**2 + 24*v + 48. Let n be r(-2). Factor -1 - 7/3*m**n + 6*m**3 + 1/3*m**5 + 13/3*m - 22/3*m**2. (m - 3)*(m - 1)**4/3 Let w be (-18)/5 + -6*-1*6/9. Let -2/5*r**2 + 0 - w*r = 0. What is r? -1, 0 Let b(n) = -n**2 - 6*n + 5. Let i be b(-5). Let t be 2/(-20)*-6*i. Find x, given that -9 + 12*x**2 + x**4 - 2*x - 2*x**3 - 1 + t - 5*x**4 = 0. -2, -1/2, 1 Let j be 14 - 8/6*3 - 1. Let y be (5/j)/((-65)/(-78)). Determine n, given that 0 + 1/3*n + y*n**2 + 1/3*n**3 = 0. -1, 0 Let q(u) = u**2 + 11*u - 58. Let z be q(4). Let w(t) be the first derivative of -1/6*t**3 - 1/4*t**z - 1/6*t - 1/24*t**4 + 3. Determine x, given that w(x) = 0. -1 Let v(w) = -24*w**2 + 153*w - 144. Let l(f) = 3*f**2 - 19*f + 18. Suppose -2*u - 14 = -q - 0*u, -31 = -4*q + 3*u. Let i(z) = q*v(z) + 33*l(z). Factor i(d). 3*(d - 3)*(d - 2) Let x(i) = i**2 - 8*i + 9. Suppose 0 = 2*j - 4*q - 6, -2*j - 2*q + 24 = 3*q. Let d be x(j). Determine f, given that -2*f + 4*f**3 - d*f + 4*f = 0. 0 Let j(u) = -u - 6. Let c be j(-11). Suppose -c*o = 7 - 17. Factor -3/4*f**o - 3/4*f + 0. -3*f*(f + 1)/4 Let c(p) be the first derivative of -5*p**3/3 + 15*p**2 - 25*p - 64. Suppose c(t) = 0. What is t? 1, 5 Let i(m) be the second derivative of -m**4/3 - 152*m**3/3 - 2888*m**2 - m + 99. Solve i(p) = 0 for p. -38 Let z = -11136 - -11138. Solve 0 - 2/15*r**z - 4/15*r = 0 for r. -2, 0 Let o be (-2 - (-16)/7)*(-147)/(-21). Let q(y) be the first derivative of 2/3*y**3 - 5 + 0*y - 2/5*y**5 - 2*y**o + y**4. Factor q(k). -2*k*(k - 2)*(k - 1)*(k + 1) Suppose -4/7 - 2*o**2 + 18/7*o = 0. What is o? 2/7, 1 Let r(l) = l**3 - 7*l**2 + 14*l - 45. Let c be r(6). Factor 2/3*m + 0*m**c - 1/3*m**4 + m**2 + 0. -m*(m - 2)*(m + 1)**2/3 Let h(a) be the second derivative of -a**5/5 + 11*a**4/3 - 76*a**3/3 + 80*a**2 + 311*a. Factor h(v). -4*(v - 5)*(v - 4)*(v - 2) Factor 32/7*g**2 + 64/7 + 4/7*g**3 + 80/7*g. 4*(g + 2)**2*(g + 4)/7 Let f(o) be the second derivative of -o**4/20 + 3*o**3/5 - 12*o**2/5 + 41*o. Let f(v) = 0. Calculate v. 2, 4 Let g be (35 + -41)*(15/9)/(-5). What is d in -2*d + 2 + 1/2*d**g = 0? 2 Let t = 636 - 1269/2. Let u(i) be the second derivative o
{ "pile_set_name": "DM Mathematics" }
the nearest integer. 7 Let u = -218 + 217.9821. Round u to three dps. -0.018 Let o = -257 + 256.9999727. Round o to six dps. -0.000027 Let s be 2 - (3 - 5) - -1. Suppose 3*r - 205 = 5*i, s*i + 41 = 5*r - 164. What is i rounded to the nearest ten? -40 Let k = 17.1 - 18. Let d = -1.25 - k. What is d rounded to one decimal place? -0.4 Let y(x) = -3*x + 20*x + 10 + 15 - 10. Let h be y(15). What is h rounded to the nearest one hundred? 300 Let k = 8 + -7.99958. Round k to 4 decimal places. 0.0004 Let d = 0.38 + -1.07. Let c = -0.7 - d. Round c to two dps. -0.01 Let l = -24949.43 - -25140. Let u = -192 + l. What is u rounded to 1 dp? -1.4 Let c(g) = 579*g**2 + 11*g - 9. Let z(l) = 290*l**2 + 5*l - 4. Let p(n) = 4*c(n) - 9*z(n). Let m be p(-4). What is m rounded to the nearest one thousand? -5000 Let k = -187 + 186.99999598. What is k rounded to six dps? -0.000004 Let i = -0.7 + -7.3. Let u = i + 8.00018. Round u to five decimal places. 0.00018 Let w = -1779653 - -639653. Round w to the nearest one hundred thousand. -1100000 Let w = 23 - 14. Suppose 2*h = 5*h - w. Suppose 85 = -h*l + 5*l - 3*j, 4*l = -5*j + 225. What is l rounded to the nearest 10? 50 Let s = -5 - -6. Let g be 1 - 1/(s/4501). What is g rounded to the nearest one thousand? -5000 Let k = 0.93 + -0.92999961. What is k rounded to seven dps? 0.0000004 Let c = -503.5829872 - -502.083. Let u = 1.5 + c. What is u rounded to 6 decimal places? 0.000013 Let u = 0.0648 - 0.064800429. What is u rounded to 7 dps? -0.0000004 Let p = 0.1637 + -0.8319. Let v = 0.66 + p. What is v rounded to 3 decimal places? -0.008 Let w(h) = 3*h - 61. Let x(n) = -2*n + 41. Let r(y) = 5*w(y) + 7*x(y). Let s be r(12). Let b = 15 + s. What is b rounded to the nearest 10? 10 Let q = 0.109 - 0.108875. Round q to five dps. 0.00013 Let o be (4/6)/(2/33). Let r = o - 8. Suppose 0 = 3*d - r*j + 65985, -5*j = -2*d - 2*j - 43985. What is d rounded to the nearest 10000? -20000 Let z = -4 + -2. Let g = z + 5.999993. Round g to 5 dps. -0.00001 Let g = -3 - 24. Let l = 6192.56 - 6219.55935. Let z = l - g. Round z to four dps. 0.0007 Let n be 600/18*(-129)/(-1). What is n rounded to the nearest 1000? 4000 Suppose u = 2*u + 6. Let x = u + 5. Let y be 4439998/6 - x/3. Round y to the nearest 100000. 700000 Let w = 0.91 + -0.01. Let t = w - 1.24. What is t rounded to one decimal place? -0.3 Suppose -7*a + 0*a = 0. Suppose 0*z - 4*z = -5*k + 3899980, -2*k - 2*z + 1560010 = a. Round k to the nearest one hundred thousand. 800000 Let h = -46 - -41. Let t = 1621 + -1616.035. Let v = t + h. Round v to two decimal places. -0.04 Let q = -0.55 + 0.22. Let d = q + 0.6. Let o = 0.27000038 - d. Round o to 7 decimal places. 0.0000004 Let u be ((-12200)/6)/(5/30000). What is u rounded to the nearest one million? -12000000 Let k = 11 - 2. Let u(v) = -k + 0 + v**3 + 6*v - 8*v + 9*v**2. Let f be u(-7). What is f rounded to the nearest 10? 100 Suppose 1130 = k - 1270. Round k to the nearest 1000. 2000 Let b = 0.06 - 0.06000005. Round b to seven decimal places. -0.0000001 Let n = 167 - 114. Let x = 82 - n. Let w = 29.013 - x. Round w to two decimal places. 0.01 Let y(w) = 126*w**2 + 5*w + 5. Let n be y(5). Round n to the nearest one thousand. 3000 Suppose 4*b = -y - 34008, -75210 = 4*y + 3*b + 60796. Round y to the nearest ten thousand. -30000 Let z = -33124004 - -33123974.0000052. Let l = -30 - z. Round l to six dps. -0.000005 Let l = 1514.7247 + -1514.62270069. Let p = -128 - -128.102. Let a = l - p. Round a to 7 dps. -0.0000007 Let s = -9 - -13. Suppose 2*l - 3*l - s*p - 232 = 0, 0 = -4*l + p - 877. Round l to the nearest 100. -200 Let q = 12640226.778061737 - 8632.778059137. Let l = 12631620 - q. Let u = l + -26. What is u rounded to six dps? -0.000003 Let w = -1.021 + 1. Let u = w + 0.02163. Round u to 4 dps. 0.0006 Let r = -0.06 + 0.037. Let m = -2.323 - r. What is m rounded to zero dps? -2 Let t = -47619965506.929997 - -47620048391. Let s = t + -82884. Let h = s + -0.07. What is h rounded to five decimal places? 0 Let s(c) = 2*c - 9. Let y be s(6). Let z(u) = 3*u + 5*u**2 + y + 7 - 6*u**2. Let x be z(12). What is x rounded to the nearest 10? -100 Suppose -5*b = -2*d - 11061959 + 32861964, -2*d + 21800002 = -2*b. Round d to the nearest 1000000. 11000000 Let h = -1287.7365961 + 1282.4366. Let t = h + 5.3. Round t to six decimal places. 0.000004 Suppose 3*i - 5*i = 2*r - 22008, 0 = 5*r + 4*i - 55016. What is r rounded to the nearest 1000? 11000 Suppose -4*c - 2*a - 2319990 = 0, 5*c - 2*a + 5*a = -2899985. Round c to the nearest 100000. -600000 Suppose 5*b + 2*z = b + 9004, -2*b - 5*z = -4510. What is b rounded to the nearest 100? 2300 Let k = 192 + -103.6. Let s = k - 97. Round s to zero dps. -9 Suppose 27*n = 32*n + 420000. What is n rounded to the nearest one hundred thousand? -100000 Let r = 25.0194 + -25. Round r to 3 dps. 0.019 Suppose 0 = 2*t - 0*t + 3*p - 12, 2*p = 3*t + 8. Suppose 16809 = 2*m - 3*w, t = 2*m + 3*w - 5777 - 11014. Round m to the nearest one thousand. 8000 Let t = -39542 + 39541.8400056. Let p = 0.16 + t. What is p rounded to six decimal places? 0.000006 Let h = -106.99844 - -107. What is h rounded to four decimal places? 0.0016 Let i = -0.8 + 15.1. Let f = -7 + -1. Let m = f + i. Round m to 0 dps. 6 Let l(v) = 10642*v - 12. Let m be l(-14). What is m rounded to the nearest ten thousand? -150000 Let j = 13 + -12.86. What is j rounded to 1 dp? 0.1 Let n = 9.199928 + -9.2. What is n rounded to 5 dps? -0.00007 Let z = 17137.6 - 289.6. Let l = z - 16847.20008. Let v = l + -0.8. Round v to 4 dps. -0.0001 Let b be (288/15)/(4/(-32500)). What is b rounded to the nearest ten thousand? -160000 Let c(w) = w - 2. Let m be c(7). Suppose -5*y = -m*l + 7116170, 2*y - 5*y + 2846493 = 2*l. Let g = l + -793239. Round g to the nearest one hundred thousand. 600000 Let j = 116966486 + -172041649. Let p = 55075162.60000003 + j. Let i = p - -0.4. Round i to 7 dps. 0 Let k = -4.47 - -5.567. Let y = 1.1 - k. Round y to three dps. 0.003 Let y = -11.05 + -1.15. What is y rounded to the nearest integer? -12 Let r = 88354.3532785 + 11.6501215. Let n = 88348 - r. Let l = n - -18. Round l to three decimal places. -0.003 Let m = 122 - 122.51. What is m rounded to 1 dp? -0.5 Let p = -1.41 + 1.4099728. Round p to six dps. -0.000027 Let l(i) = -18997*i + 3. Let k be l(-1). What is k rounded to the nearest one thousand? 19000 Let x = -1 + 18. Let v = -17.42 + x. Let g = -0.41977 - v. What is g rounded to four dps? 0.0002 Let k = -40.038 + 40. Let v = -0.05 - k. Round v to 2 dps. -0.01 Let h = 0.220000063 + -0.22. What is h rounded to 7 dps? 0.0000001 Let q = 0.7999993 + -0.8. Round q to seven dps. -0.0000007 Let y = -0.236 - -0.21. What is y rounded to two dps? -0.03 Suppose 5*f - 517 = -4*w - 27, 0 = -5*w - f + 602. Let u be 4*(-1 + (-41)/(-2)). Let m = u - w. What is m rounded to the nearest 10? -40 Let k = 0.012 + -0.01200098. What is k rounded to seven decimal places? -0.000001 Let h = -3.5 - 7.1. Let a = -45704799 + 45704809.5999887. Let w = h + a. Round w to 6 dps. -0.000011 Let b = 9.009 + -9. What is b rounded to two decimal places? 0.01 Suppose 3*j - 781 = -2*w, 5*j - 1468 + 162 = w. What is j rounded to the nearest ten? 260 Let g = 429.177 - 429. What is g rounded to 2 decimal places? 0.18 Let d = -0.04 + 0.06. Let m = -0.019976 + d. What is m rounded to 5 decimal places? 0.00002 Suppose -2*r = -0 - 2. Let s(w) = 12400000*w**3 + w**2 - 2*w + 1. Let q be s(r). Round q to the nearest one million. 12000000 Let q = 2 + 1. Suppose -t - 22000 = q*t. What is t rounded to the nearest one thousand? -6000 Suppose 2*o - 166008 = -4*q, -2*o + 199285 = 5*q + 33275. What is o rounded to the nearest 10000? 80000 Let y = 346 - 346.000293. What is y rounded to 5 dps? -0.00029 Let r be (-27)/(-6) + 2/4. Suppose w = r - 1. Round w to zero decimal places. 4 Let j(z) = -65*z**3 - 2*z**2 - z. Let c be j(2). What is c rounded to the nearest 10? -530 Let a = 24.71 - 23.5. Let g = -7.669 + a. Let n = g - -6.4. Round n to 2 decimal places. -0.06 Let s = -19.0155 + 19. What is s rounded to 2 dps? -0.02 Let x be -1530003 + 3/(-9)*-9. What is x rounded to the nearest 100000? -1500000 Let m = 166 + -162.99. Let c = 0.01 - m. Let w = c + 2.999907. What is w rounded to five deci
{ "pile_set_name": "DM Mathematics" }
*2/7 - 62*s/7 - 20. 2*(s - 5)*(s + 2)*(s + 7)/7 Factor 15*m**3 - 25*m**2 + 10*m. 5*m*(m - 1)*(3*m - 2) Determine b, given that -2*b**5/11 - 30*b**4/11 - 96*b**3/11 + 128*b**2/11 = 0. -8, 0, 1 Solve -10*f**5 - 5*f**4 + 175*f**3 + 125*f**2 - 465*f + 180 = 0 for f. -3, 1/2, 1, 4 Factor -2*q**5/17 - 16*q**4/17 - 48*q**3/17 - 64*q**2/17 - 32*q/17. -2*q*(q + 2)**4/17 Factor 3*i**3/2 - 315*i**2/2 + 4212*i - 4056. 3*(i - 52)**2*(i - 1)/2 Factor 3*q**2/7 + 2139*q/7 - 4290/7. 3*(q - 2)*(q + 715)/7 Factor 5*t**3 - 12470*t**2 - 24955*t - 12480. 5*(t - 2496)*(t + 1)**2 Factor -w**2/9 - 89*w + 802/9. -(w - 1)*(w + 802)/9 Factor -4*w**2 + 1088*w - 1084. -4*(w - 271)*(w - 1) Solve -5*u**3 + 90*u**2 - 480*u + 640 = 0 for u. 2, 8 Suppose 2*s**2/7 + 174*s = 0. What is s? -609, 0 Determine y, given that -y**5/2 - 32*y**4 - 231*y**3 + 890*y**2 - 1913*y/2 + 330 = 0. -55, -12, 1 Factor 3*r**4 - 24*r**2 + 48. 3*(r - 2)**2*(r + 2)**2 Factor 6*n**2 - 872*n + 290. 2*(n - 145)*(3*n - 1) Let q**2 + 114*q - 472 = 0. What is q? -118, 4 Factor -l**4/3 + 6*l**3. -l**3*(l - 18)/3 Factor -2*t**2/11 - 2*t + 24/11. -2*(t - 1)*(t + 12)/11 Find v, given that 3*v**5/5 - 6543*v**4/5 - 6*v**3/5 + 13086*v**2/5 + 3*v/5 - 6543/5 = 0. -1, 1, 2181 Solve 2*c**3 - 47*c**2/2 - 207*c/2 + 90 = 0 for c. -4, 3/4, 15 Let 3*i**4/8 - 15*i**3/4 - 93*i**2/2 - 129*i - 108 = 0. What is i? -4, -2, 18 Solve -4*z**2 - 152*z - 288 = 0. -36, -2 Let -5*z**4 - 95*z**3 - 80*z**2 + 180*z = 0. What is z? -18, -2, 0, 1 Factor 12*z**4/7 + 10*z**3/7 - 68*z**2/7. 2*z**2*(z - 2)*(6*z + 17)/7 Find q, given that 4*q**2 - 144*q = 0. 0, 36 What is u in -4*u**2 + 4*u + 224 = 0? -7, 8 Factor 70*i**2 - 344*i/5 - 6/5. 2*(i - 1)*(175*i + 3)/5 Factor -2*f**5/11 - 3352*f**4/11 + 13428*f**3/11 - 1832*f**2 + 13438*f/11 - 3360/11. -2*(f - 1)**4*(f + 1680)/11 Factor -4*f**2 - 92*f - 408. -4*(f + 6)*(f + 17) Suppose 3*b**5/7 + 30*b**4/7 - 6*b**3/7 - 384*b**2/7 + 93*b - 42 = 0. Calculate b. -7, 1, 2 Suppose n**3/3 + 19*n**2 - 39*n + 59/3 = 0. Calculate n. -59, 1 Factor -u**2 - 207*u + 208. -(u - 1)*(u + 208) Factor 4*g**5 + 24*g**4 + 56*g**3 + 64*g**2 + 36*g + 8. 4*(g + 1)**4*(g + 2) Solve -3*n**4/4 - 21*n**3/4 - 9*n**2/4 + 189*n/4 + 81 = 0. -4, -3, 3 Suppose 5*u**3 + 580*u**2 + 3265*u - 3850 = 0. Calculate u. -110, -7, 1 Find p such that p**4 - 476*p**3 + 1893*p**2 - 2362*p + 944 = 0. 1, 2, 472 Solve -4*c**5/3 + 134*c**4 - 9374*c**3/3 - 36404*c**2/3 - 12480*c - 10816/3 = 0. -2, -1, -1/2, 52 Suppose -2*s**2 + 14*s - 24 = 0. Calculate s. 3, 4 Factor -r**5 + 27*r**3 - 54*r**2. -r**2*(r - 3)**2*(r + 6) Factor -6*h**2/5 - 114*h/5. -6*h*(h + 19)/5 Factor b**4/6 - 17*b**3/6 - b**2/6 + 17*b/6. b*(b - 17)*(b - 1)*(b + 1)/6 Find k such that -4*k**3/9 + 400*k**2/9 + 412*k/9 - 808/9 = 0. -2, 1, 101 Factor 3*f**3/2 + 9*f**2 - 24*f. 3*f*(f - 2)*(f + 8)/2 Factor 5*w**3/4 - 20*w**2. 5*w**2*(w - 16)/4 Determine y so that -8*y**5/7 - 32*y**4/7 - 26*y**3/7 + 30*y**2/7 + 36*y/7 = 0. -2, -3/2, 0, 1 Factor -68921*v**4/3 - 70602*v**3 - 5084*v**2 - 370*v/3 - 1. -(v + 3)*(41*v + 1)**3/3 Factor -b**4 - 471*b**3 - 939*b**2 - 469*b. -b*(b + 1)**2*(b + 469) Solve 10*f**3 + 1495*f**2 + 2210*f - 1480 = 0. -148, -2, 1/2 Factor -q**4/4 - 3*q**3/4 + q. -q*(q - 1)*(q + 2)**2/4 Factor -72*h**3/5 - 2328*h**2/5 - 154*h - 64/5. -2*(h + 32)*(6*h + 1)**2/5 Factor k**3/2 + 1245*k**2/2 + 516675*k/2 + 71473375/2. (k + 415)**3/2 Factor -3*a**2/7 + 9474*a/7 - 7479723/7. -3*(a - 1579)**2/7 Suppose 2*k**3/5 - 116*k**2/5 + 448*k - 2880 = 0. What is k? 18, 20 Factor -5*w**4 + 390*w**3 - 1140*w**2 + 1130*w - 375. -5*(w - 75)*(w - 1)**3 Find r such that 2*r**2/7 + 12*r/7 + 18/7 = 0. -3 Determine c, given that 2*c**2 + 104*c + 470 = 0. -47, -5 What is g in -2*g**3/17 + 716*g**2/17 - 64082*g/17 = 0? 0, 179 Factor 2*o**3 + 40*o**2 - 8*o - 160. 2*(o - 2)*(o + 2)*(o + 20) Factor p**4/2 + 39*p**3/4 + 9*p**2/2 - 19*p/4. p*(p + 1)*(p + 19)*(2*p - 1)/4 Factor 4*d**3 + 68*d**2 + 108*d - 180. 4*(d - 1)*(d + 3)*(d + 15) Solve -h**2/7 - 16*h/7 - 15/7 = 0. -15, -1 Factor r**5/2 + 13*r**4/2 + 29*r**3 + 53*r**2 + 85*r/2 + 25/2. (r + 1)**3*(r + 5)**2/2 Let -4*h**3 + 8*h**2 + 76*h - 80 = 0. What is h? -4, 1, 5 Factor 2*p**2 + 446*p - 448. 2*(p - 1)*(p + 224) Let 2*t**5/3 + 10*t**4 - 64*t**3/3 - 784*t**2 - 7840*t/3 - 2400 = 0. Calculate t. -10, -2, 9 Let -2*r**2 + 14*r = 0. What is r? 0, 7 What is p in -2*p**2/7 + 1479*p/7 + 740/7 = 0? -1/2, 740 Find m such that 4*m**2 + 1020*m - 3096 = 0. -258, 3 Factor -3*v**3 - 114*v**2 + 249*v + 360. -3*(v - 3)*(v + 1)*(v + 40) Determine d so that 27*d**3 + 720*d**2 - 996*d + 336 = 0. -28, 2/3 Find k such that 3*k**4 + 30*k**3 + 96*k**2 + 96*k = 0. -4, -2, 0 Determine n so that -12*n**5 - 633*n**4 + 2139*n**3 - 2499*n**2 + 1173*n - 168 = 0. -56, 1/4, 1 Factor -2*m**3 - 4*m**2 + 26*m - 20. -2*(m - 2)*(m - 1)*(m + 5) Factor -4*x**5/3 - 340*x**4/3 - 6697*x**3/3 + 7480*x**2 - 5808*x. -x*(x + 44)**2*(2*x - 3)**2/3 Find w, given that 3*w**3/5 + 144*w**2/5 + 537*w/5 + 396/5 = 0. -44, -3, -1 Factor 5*p**2/6 - 15*p/2 - 25/3. 5*(p - 10)*(p + 1)/6 Let 6*h**4/7 + 75*h**3/7 + 333*h**2/7 + 621*h/7 + 405/7 = 0. Calculate h. -5, -3, -3/2 Determine s, given that -s**2/6 + 85*s/3 - 169/6 = 0. 1, 169 Factor s**3/5 - 12*s**2/5 - 17*s. s*(s - 17)*(s + 5)/5 Solve -5*f**3 - 800*f**2 = 0. -160, 0 What is j in j**5 - 31*j**4 - 32*j**3 = 0? -1, 0, 32 Factor -4*a**2 - 100*a - 504. -4*(a + 7)*(a + 18) Let -3*y**4 - 2*y**3 + 27*y**2 + 18*y = 0. What is y? -3, -2/3, 0, 3 Find t, given that -t**5/7 - 37*t**4/7 - 63*t**3 - 1755*t**2/7 - 1350*t/7 = 0. -15, -6, -1, 0 Determine v, given that 4*v**5 - 56*v**4 - 88*v**3 + 368*v**2 + 756*v + 360 = 0. -2, -1, 3, 15 Factor -4*b**4 + 268*b**3 + 3940*b**2 + 17300*b + 24000. -4*(b - 80)*(b + 3)*(b + 5)**2 What is n in -3*n**5 - 9*n**4 + 9*n**3 + 33*n**2 + 18*n = 0? -3, -1, 0, 2 Factor 2*x**4 + 20*x**3 + 46*x**2 + 28*x. 2*x*(x + 1)*(x + 2)*(x + 7) Suppose 4*t**5/3 + 8*t**4/3 - 92*t**3/3 - 112*t**2/3 + 448*t/3 - 256/3 = 0. Calculate t. -4, 1, 4 Find x, given that 3*x**5 + 69*x**4/7 + 18*x**3/7 - 12*x**2 - 24*x/7 = 0. -2, -2/7, 0, 1 Let 5*y**3 + 55*y**2 + 150*y = 0. Calculate y. -6, -5, 0 Solve c**2 + 153*c = 0. -153, 0 Suppose -2*p**4/11 + 18*p**3/11 + 84*p**2/11 - 128*p/11 - 192/11 = 0. Calculate p. -4, -1, 2, 12 Find l such that 3*l**2 - 516*l - 1575 = 0. -3, 175 Factor -26*l**4 - 114*l**3 - 186*l**2 - 134*l - 36. -2*(l + 1)**3*(13*l + 18) Factor -h**5 + 8*h**4 + 57*h**3 + 100*h**2 + 52*h. -h*(h - 13)*(h + 1)*(h + 2)**2 Determine v, given that -v**5/8 - 5*v**4/2 - 57*v**3/4 - 27*v**2 + 27*v/8 + 81/2 = 0. -12, -3, 1 Factor -6*l**3/5 - 14928*l**2/5 - 9285216*l/5. -6*l*(l + 1244)**2/5 Find w such that -43264*w**2 + 5824*w - 196 = 0. 7/104 Factor h**5/5 - 53*h**4/5 - 6*h**3/5 + 326*h**2/5 - 427*h/5 + 159/5. (h - 53)*(h - 1)**3*(h + 3)/5 Find j, given that -5*j**5 - 20*j**4 + 145*j**3 - 140*j**2 - 140*j + 160 = 0. -8, -1, 1, 2 Determine z so that -5*z**5 + 160*z**4 - 1545*z**3 + 2990*z**2 + 13520*z = 0. -2, 0, 8, 13 Determine g so that 3*g**4 + 45*g**3 - 351*g**2 + 567*g = 0. -21, 0, 3 Factor -18*r**4/7 - 258*r**3/7 - 320*r**2/7 - 104*r/7. -2*r*(r + 13)*(3*r + 2)**2/7 Suppose -4*j**3 - 21440*j**2 - 28751028*j - 57416328 = 0. Calculate j. -2679, -2 Solve -2*a**4 + 36*a**3 - 122*a**2 + 144*a - 56 = 0. 1, 2, 14 Find h such that 2*h**5/15 - 118*h**4/5 - 358*h**3/5 - 1078*h**2/15 - 24*h = 0. -1, 0, 180 Find n, given that -3*n**3 - 2706*n**2 = 0. -902, 0 Find g, given that -3*g**4 + 9*g**2 + 6*g = 0. -1, 0, 2 Solve 2*a**3/9 + 184*a**2/9 + 538*a/9 + 356/9 = 0. -89, -2, -1 Solve -20*f**3 + 38*f**2 + 102*f = 0. -3/2, 0, 17/5 Solve -4*x**5 - 3840*x**4 - 1474560*x**3 - 283115520*x**2 - 27179089920*x - 1043677052928 = 0. -192 Let -4*i**2 - 168*i - 164 = 0. Calculate i. -41, -1 Find v such that -45*v**4 - 735*v**3 - 845*v**2 + 815*v - 150 = 0. -15, -2, 1/3 Factor s**4/2 + 7*s**3 + 65*s**2/2 + 50*s. s*(s + 4)*(s + 5)**2/2 Let -5*m**2 - 25*m + 2730 = 0. Calculate m. -26, 21 Solve 5*n**5 + 70*n**4 + 230*n**3 - 220*n**2 - 875*n - 490 = 0 for n. -7, -1, 2 Factor 2*g**3 - 60*g**2 + 546*g - 1352. 2*(g - 13)**2*(g - 4) What is z in 2*z**5/9 - 8*z**4 - 4*z**3/9 + 16*z**2 + 2*z/9 - 8 = 0? -1, 1, 36 Let 4*p**3 + 196*p**2 + 2300*p - 2500 = 0. What is p? -25, 1 Let -3*a**2 - 252*a +
{ "pile_set_name": "DM Mathematics" }
What is the second derivative of -784*x**5 - 14*x**4 - 45714*x wrt x? -15680*x**3 - 168*x**2 What is the derivative of 2515*o**3 + 13*o**2 + 87506? 7545*o**2 + 26*o Find the second derivative of -1423*g**3*v**2 + g**3 + 118*g**2*v**2 + 143861*g**2*v + 4*g*v wrt v. -2846*g**3 + 236*g**2 What is the second derivative of -34671*c**5 + 11*c**2 + 731188*c wrt c? -693420*c**3 + 22 Find the second derivative of -35*v**4 - 390*v**2 + 92468*v. -420*v**2 - 780 Differentiate -c**4*g - 1472*c**3*g**3 - 19*g**3 - 4*g**2 - 1445 wrt c. -4*c**3*g - 4416*c**2*g**3 Find the third derivative of 597*r**5 - 2*r**4 + 265*r**3 + 276837*r**2 wrt r. 35820*r**2 - 48*r + 1590 Find the third derivative of 13*d**4 + 753*d**3 - 8*d**2 - 2847*d wrt d. 312*d + 4518 Find the third derivative of -19700*g**3 + 52707*g**2. -118200 Find the first derivative of 21407*h**4 + 2*h - 1309221 wrt h. 85628*h**3 + 2 What is the second derivative of -95885*v**4 + 380205*v? -1150620*v**2 What is the third derivative of -k**5 - 5554973*k**3 + 29408*k**2 + 2*k + 24 wrt k? -60*k**2 - 33329838 Find the third derivative of 29*b*m**3*t**3 - 11095*b*m**3 - 2*b*m**2 + b*m*t**3 + 2*b*m*t - 61*m**2*t**3 + 2*m**2*t wrt m. 174*b*t**3 - 66570*b What is the third derivative of -23069*m**3 - 188*m**2 + 3*m + 100 wrt m? -138414 Find the first derivative of 2*i*v**2 - 2*i - 34036*v + 33702 wrt v. 4*i*v - 34036 What is the third derivative of 6*i*p**4 - i*p**3 - 3490*i*p**2 - p**4 - 499*p**3 wrt p? 144*i*p - 6*i - 24*p - 2994 Find the second derivative of 99*d**4*j - 6600*d**3*j + d*j - 2*j - 343433 wrt d. 1188*d**2*j - 39600*d*j Find the second derivative of -5091*a**2 - 22204*a. -10182 Find the third derivative of 8045*a**5 + 136*a**4 - 25871*a**2 + 7 wrt a. 482700*a**2 + 3264*a What is the second derivative of 13770*s**3 + 4*s**2 - 459876*s? 82620*s + 8 Find the first derivative of -2*x**4 + x**2 - 559*x + 23868. -8*x**3 + 2*x - 559 What is the second derivative of 104*p**4 - 16256*p**2 + 3511700*p wrt p? 1248*p**2 - 32512 What is the third derivative of 18011*a**5*s - 2*a**3*s**2 - 4602*a**2*s**2 + a**2 wrt a? 1080660*a**2*s - 12*s**2 What is the second derivative of -395786*p**5 - p - 20617 wrt p? -7915720*p**3 Find the second derivative of 82629*q**2 + 33914*q + 1. 165258 Find the second derivative of 3*s**2*x**2 - 33927*s**2 + 2*s*x**2 + 17*s*x - 2544*x**2 + x wrt s. 6*x**2 - 67854 What is the second derivative of 14*o**4 - 177720*o**2 + 4967034*o? 168*o**2 - 355440 Differentiate -84574*i - 36941. -84574 Find the third derivative of -19978*k**3 + 78*k**2 - 207 wrt k. -119868 What is the second derivative of 2*i**3*r**3 + 124*i**3*r**2 + 21941*i*r**3 - 2*r wrt i? 12*i*r**3 + 744*i*r**2 Find the second derivative of 140499*d**3 - d**2 - 1720176*d wrt d. 842994*d - 2 Find the third derivative of 2*c**3*f**2*p + 799475*c**3*p**3 - 2*c**2*f**2*p**2 - 113*c**2*p - 23*f**2*p**3 + 3*f**2*p + p**2 wrt c. 12*f**2*p + 4796850*p**3 Find the second derivative of 110*s**2*u**3 + s**2 - 2*s*u**3 + 3*s*u + 648*s + 183*u**3 - 157*u wrt u. 660*s**2*u - 12*s*u + 1098*u Differentiate 243*c**2*p**2 - 41*c**2*p + 5834*c**2 - 47*p**2 + 182 wrt p. 486*c**2*p - 41*c**2 - 94*p Find the second derivative of -170179*p**4 - 105418*p wrt p. -2042148*p**2 Find the third derivative of -s**4 - 476630*s**3 + 398500*s**2 wrt s. -24*s - 2859780 Find the third derivative of 1753474*s**4 - 9*s**2 - 695*s - 121 wrt s. 42083376*s Find the third derivative of -120*b**4 - 86*b**3 - 23*b**2 - 850*b wrt b. -2880*b - 516 What is the third derivative of -1405541*h**4 + 44*h**2 + 2397? -33732984*h What is the third derivative of 431416*v**4 + 6637*v**2 - 2*v + 6? 10353984*v What is the second derivative of 2886*l**4 + 2*l**2 - 45949*l wrt l? 34632*l**2 + 4 What is the first derivative of 3016*c*p*z**3 + 2*c*p*z**2 - 3*c*z - 1560*p*z**2 + p*z - 2*p + 6*z**3 wrt c? 3016*p*z**3 + 2*p*z**2 - 3*z Find the third derivative of 176875*m**6 + 156972*m**2 - m wrt m. 21225000*m**3 What is the first derivative of 7161*a**3 - 2*a**2 + 210125? 21483*a**2 - 4*a Find the first derivative of -67654*a**2*b*p**2 + 3*a**2 - 2049*p**2 wrt b. -67654*a**2*p**2 Differentiate -g**2 + 2017666*g - 542681 wrt g. -2*g + 2017666 What is the third derivative of 4*d**3*z**3 - 3*d**3*z**2 + 454*d**3 - 7*d**2*z**2 - 2*d*z**3 + 501*d*z**2 wrt d? 24*z**3 - 18*z**2 + 2724 What is the second derivative of -r**5 - r**4 + 99*r**3 - 497554*r? -20*r**3 - 12*r**2 + 594*r Find the third derivative of -1780*b**2*c**3 - 1012*b**2*c**2 - 21*b*c**3 + 25*c**2 wrt c. -10680*b**2 - 126*b Find the second derivative of -2*z**4 + 3*z**3 + 13087*z**2 + 189*z + 94. -24*z**2 + 18*z + 26174 Differentiate 6*b*h*k*o + 2*b*h*o**3 + 4*b - 2485*h*k*o**3 - 184*h*o**3 with respect to k. 6*b*h*o - 2485*h*o**3 Find the third derivative of 335*k**3 - k**2 + 25850 wrt k. 2010 What is the derivative of 72713*d**3 + 116157? 218139*d**2 What is the second derivative of -12635*u**5 - 184022*u? -252700*u**3 Find the first derivative of 811*x**3 - 210*x**2 + 1135908 wrt x. 2433*x**2 - 420*x What is the first derivative of 34*h**2*i**2 - 11*h*i*k**2 + 20*h*k - 11*i**2*k**2 - 269*i**2 wrt h? 68*h*i**2 - 11*i*k**2 + 20*k Find the third derivative of -29215*l**5*v**3 - 48*l**2*v - 206*v**3 wrt l. -1752900*l**2*v**3 Find the third derivative of 1660*a*c**3 - 2*a*c**2 + 16*a*c + 2*a + 8*c**3 + 2*c**2 wrt c. 9960*a + 48 What is the first derivative of 71122*q + 28449? 71122 What is the first derivative of -5973487*m**2 - 640159? -11946974*m What is the second derivative of -4847142*x**3 + 24*x - 112477? -29082852*x Differentiate -3*d**3*t - 17327*d**2*t - 32267*t wrt d. -9*d**2*t - 34654*d*t What is the second derivative of -91446*o**2 - 17187*o - 6 wrt o? -182892 What is the second derivative of -157008*o**5*s - 8*o*s + 5204*s wrt o? -3140160*o**3*s Differentiate -4*d**3*j*s - d**3*j - 17391*d**3*s + 69*d**2*j*s - 2*d**2*s wrt j. -4*d**3*s - d**3 + 69*d**2*s What is the third derivative of -185256*x**3 + 1246*x**2 - 54 wrt x? -1111536 What is the second derivative of 98415*l**3 + 46942*l wrt l? 590490*l What is the third derivative of 2371789*r**3*w + 2*r**2*w + 124*r**2 + 20*r*w + 11*r wrt r? 14230734*w What is the derivative of 835*t**2*u - 51*t**2 + 2*u + 105 wrt u? 835*t**2 + 2 Find the third derivative of 6065*z**4 + z**3 + 3*z**2 + 4425*z. 145560*z + 6 What is the derivative of 10*a**2*h*t - 22*a**2*t - 2*a**2 + 1468*a*h*t - 46*a - 19 wrt h? 10*a**2*t + 1468*a*t What is the first derivative of 1714*h**2 + 4*h + 7214 wrt h? 3428*h + 4 Find the second derivative of -70862*c**2 + 3*c - 12175. -141724 What is the second derivative of 117*k*m**2*s + 3*k*m*s + 38*k*s + 9*k + 10*m**5 - 3*m**3*s - 2*m*s - 22*m + s wrt m? 234*k*s + 200*m**3 - 18*m*s What is the second derivative of -19969*l**2*m**2 + l**2*y**3 + 12*l*m**2*y**3 - 30*l*m*y**3 - 28*m**2 wrt l? -39938*m**2 + 2*y**3 What is the derivative of 112*o*u**2*y**3 + 2*o*u**2*y + o*y + 2*u**2*y**3 + 6450*u**2*y**2 - 3*u*y**2 wrt o? 112*u**2*y**3 + 2*u**2*y + y Find the second derivative of 2416417*d**3 - 3377*d + 7 wrt d. 14498502*d What is the second derivative of 219*u**4*z - 6*u**3*z + 4*u**3 - 1237*u*z + 29 wrt u? 2628*u**2*z - 36*u*z + 24*u Find the second derivative of -4*d*g**2*s + 2*d*g*s**2 + 4*d*s**2 - 2*g**2*s**2 + 26*g**2*s + g*s - 263*s**2 + s wrt s. 4*d*g + 8*d - 4*g**2 - 526 Find the second derivative of u**3 - 4831*u**2 - 14545*u wrt u. 6*u - 9662 What is the derivative of -2*l**3*m**3*q - 3*l**3*m**3 - 2*l**3 - 578*l**2*m**3*q + 67*l*m**3 + 2*m**3 wrt q? -2*l**3*m**3 - 578*l**2*m**3 Find the third derivative of -25317*o**4 - o**3 - 127*o**2 + 74*o wrt o. -607608*o - 6 What is the third derivative of 194*o**6 + 5257*o**5*p + 29*o**2*p - 2739*p wrt o? 23280*o**3 + 315420*o**2*p Find the third derivative of -16*i**5 + 3*i**4 - 5795*i**3 - 3*i**2 - 4*i - 1286 wrt i. -960*i**2 + 72*i - 34770 What is the second derivative of 72*o**5 + 2*o**4 - 2*o**2 - 38164*o? 1440*o**3 + 24*o**2 - 4 What is the first derivative of -3*s*x**2 + 4375*s*x - x**2 - 2520*x wrt s? -3*x**2 + 4375*x What is the second derivative of 293294*x**3 - 10062*x - 2? 1759764*x Find the third derivative of -2*a**3*q**2*r**3 - 431*a**3*q**2*r + 32429*a**3*q*r**3 + 2*a**2*q**2*r**2 + a**2*q**2
{ "pile_set_name": "DM Mathematics" }
+ 2/2 + f. Suppose 3*z + z = y. Is z a composite number? True Let k = 17 - 1. Let z be k - ((1 - -2) + -1). Is (-2330)/(-14) + (-6)/z composite? True Let t(b) = -4*b + 21*b + 72*b - 60. Is t(11) prime? True Let c = 15 - 24. Let f = 1370 + c. Is f a composite number? False Let f = 12 - 12. Suppose 5*r + 0*r - 525 = f. Suppose -r - 365 = -5*m. Is m composite? True Let x = 144765 - 83374. Is x a prime number? False Suppose 12*b - 16*b - 12 = 0. Is b + ((-996)/(-7) - 16/56) composite? False Let o(a) = -a + 191. Suppose 5*i = 6 - 1, 5*n = 2*i - 137. Let y be 2/(-9) + (-6)/n. Is o(y) prime? True Let j = -163 + 108. Let t = 162 + j. Suppose n = t + 20. Is n composite? False Let l(c) = 103*c**2 - 1. Let w be l(-1). Suppose 98*q + 1384 = w*q. Is q a composite number? True Suppose d = -4*j + 3, -3*d - 22 = -4*j + 1. Let f(r) = -2*r**3 - 4*r**2 - 2. Let p be f(d). Suppose 3*k + p = 4*s, k + 72 = -s + 3*s. Is s a composite number? True Is 2/13 - 1/((-39)/177561) prime? False Is (2/3)/((-38)/(-155097)) + -2 a composite number? False Let u(y) = -16*y**3 - 16*y**2 - 4*y - 11. Is u(-7) prime? True Let n(o) = 162*o**2 + o. Let h = 39 + -24. Suppose h = -5*t + 20. Is n(t) prime? True Let q(o) = o**3 - 10*o**2 - 12*o + 20. Let s be q(11). Is -20919*(24/s - 3) composite? True Let g = -5515 - -10232. Is g a composite number? True Suppose -4*q - d + 4*d = 12, -5*q = -d + 4. Suppose -c = -4*c + 5*j + 69, -3*c + 3*j + 69 = q. Is c a prime number? True Let o(y) = y**3 + 10*y**2 - 12*y - 7. Let c be o(-11). Suppose 561 = -3*a + 3*v, -v - 173 = a + c. Let z = 343 + a. Is z prime? False Let y = -100 + 94. Let h(j) = 22*j**2 - 8*j - 9. Is h(y) composite? True Let x(i) = 696*i**2 - 13*i + 6. Is x(-7) a prime number? False Suppose 1 = -b - g - 0, 0 = b - 4*g - 14. Suppose 2*l + 3*t - 872 = b*t, 3*l - 1308 = 2*t. Suppose k + 167 - l = 0. Is k a prime number? True Suppose -2 = 2*a - i, i - 2 + 0 = a. Let o be 4/(a + (-2)/(-5)). Is 206/o - (-2)/5 a composite number? True Let x(f) = 2*f**2 + 3*f - 1. Let r = 4 + 6. Let k be 105/r*(-6)/(-9). Is x(k) a prime number? False Let g be (-1)/(0 - (-2)/(-12)). Let f(x) be the first derivative of x**3 + 11*x**2/2 + 3*x + 1. Is f(g) composite? True Suppose -7*u + 18722 = -56871. Is u a composite number? False Suppose -4*h = -16, 4*v = -h - h + 888. Suppose -4*r + 9*r - 222 = -4*k, -4*k = 4*r - v. Is k composite? False Is (-19 - -24) + 9222/3 a composite number? False Let h = 468 + -262. Suppose 5*y - 189 = 2*t + 149, 3*y + 2*t - h = 0. Let p = y + 6. Is p prime? False Let g be (-4)/12 + (-1748)/3. Let t = -217 - g. Suppose 3*s + 332 = 3*r + 65, 4*r + s = t. Is r a composite number? True Is ((-17998)/(-2))/((-15 - -7)/(-8)) composite? False Suppose 13 = 3*y + 4*c, 5 = y + 3*c - 1. Suppose 74 = y*s - 97. Is s a composite number? True Let k(v) = -v**3 - 12*v**2 - 12*v - 8. Let i be k(-11). Suppose q + i*z = 4239 - 1353, 3*q - 8718 = 3*z. Is q prime? False Let m(k) = -k - 42. Let i be m(6). Let o = 139 + i. Is o composite? True Let l(q) = 2*q**2 - 10*q - 8. Let h be l(6). Suppose -g + 1266 = g. Suppose h*z - g = z. Is z a composite number? False Let y(r) = -90*r**3 + 2*r**2 - 2*r - 3. Suppose 10*x = -11 + 1. Is y(x) a composite number? True Suppose -4*n = -3*h - 0*n - 373, 3*h + 389 = -4*n. Let u = 312 + h. Is u a composite number? True Let p(l) = 59*l**3 + l**2 - 4*l - 1. Let i be p(3). Let y = -956 + i. Is y prime? False Let f(o) be the third derivative of o**7/168 - o**6/144 - 7*o**5/120 - o**4/6 + 7*o**2. Let h(u) be the second derivative of f(u). Is h(6) a prime number? True Let z = 7450 - 2997. Is z a prime number? False Suppose 4*o = 3 + 13. Suppose o*h + 9 + 7 = b, -b - 2*h + 10 = 0. Suppose 4*u - 504 = -4*m + 5*m, 3*m = b. Is u a composite number? False Suppose 0 = -4*o - 3*u + 6038, -5*o + 7557 = -10*u + 9*u. Is o a prime number? True Suppose 5*b + 0*b = 3*w - 20, -3*b + 2 = w. Suppose 0*v - w*v + 1380 = 0. Suppose -s + v = 3*s. Is s a composite number? True Let o(n) = 89*n - 149. Let u(r) = -44*r + 75. Let h(q) = -6*o(q) - 11*u(q). Is h(-12) a composite number? True Suppose 9716 = 2*m + 2*s, 3*m + 6*s = 8*s + 14589. Is m prime? True Let w be 1128/(-2)*(39/(-6) + 5). Let o = 2597 - w. Is o composite? True Suppose 13233 = 398*p - 387*p. Is p a prime number? False Let c = -24 + 29. Suppose 188 + 267 = c*x. Is x a composite number? True Let s be 3/((-6)/(-74))*-1. Let o = s + 114. Is o prime? False Let g = 21 - 19. Suppose -a - g*m = -569, 6*m = -5*a + m + 2835. Is a composite? True Let s(f) = -f - 3. Let z be s(-7). Suppose -t + z = -12. Let h = t + 69. Is h a prime number? False Let x(j) = -7483*j**2 + 3*j + 1. Let c(l) = -14966*l**2 + 6*l + 1. Let a(d) = 2*c(d) - 5*x(d). Is a(-1) prime? False Let p = 389 - 214. Suppose p = s + 4*g, 6*s = s - 5*g + 935. Is s prime? True Let b = -10274 - -28975. Is b a composite number? False Suppose -d - 1 = -3*l, -4*d + 22 = 2. Let o(p) = -4*p**2. Let w be o(l). Is (-426)/(-4) - w/(-32) prime? False Let l = 33 - 30. Suppose o - l*k - 155 = -5*k, 473 = 3*o + 4*k. Is o a prime number? True Let w(r) = r**3 + 14*r**2 - 3*r - 1. Let t be w(-13). Suppose -p - 6 + t = 0. Is p a composite number? True Let k be -854 - 1/(2/(-4)). Let g = k + 1301. Is g prime? True Let b be 12/(-18)*9/(-2). Let s be 1/2*(b - -7). Suppose m = 5*w + 42, 0*w + 114 = s*m - w. Is m composite? True Suppose 3*w + 7 = 4*d, w - d + 0 = -1. Let t be 1579/4 + w/12. Suppose p - 6*p = -t. Is p composite? False Suppose -1115262 = 3*r - 7*r + 2*k, 2*k = -10. Is r a composite number? False Let k = 12 - 10. Let q be 4/k*1*-1. Is 6/(-3)*3/q a prime number? True Let b be 4214/17 + 6/51. Let q(s) = 28*s - 3. Let v(t) = 2325*t - 248. Let d(g) = b*q(g) - 3*v(g). Is d(-5) composite? True Let a(d) = -2*d**2 + d + 443. Suppose 0*u + 3*u = 0. Suppose u = 2*w - 5*w. Is a(w) prime? True Suppose -2*r - n + 774 = 0, -2 = -4*n + 14. Let u = 265 + r. Suppose -7*x = -5*a - 2*x + u, 0 = a - 3*x - 128. Is a prime? True Suppose 0 = 20*b + 43527 - 146947. Is b a composite number? False Let c(n) = 176 - 4*n + 18 + 5*n - n**2 + 69. Let d be c(0). Suppose 0*g - d = -g. Is g prime? True Let n = 1669 - -1422. Is n prime? False Let f be (-23*5 + 2)*1. Let i = -58 - f. Suppose 0 = -c - 5*j + 14 + 7, 3*j = 2*c - i. Is c a prime number? False Let q be 8 + 0/(-5 - -3). Suppose 2*x + 0 = -q. Is (-296)/10*10/x a composite number? True Suppose -5*x = -5*t + 11165, 5*t - t = 3*x + 8934. Suppose -t = -5*z - 2*v - 2*v, 4*v = -2*z + 906. Is z a prime number? True Let y = 60 - 48. Suppose -11*a = -y*a + 835. Is a a prime number? False Let o(f) = 3959*f + 51. Is o(30) a composite number? True Let m(j) = j**3 + 12*j**2 + 6. Let q be m(-12). Let a(x) = x - 2. Let k be a(q). Suppose -n = b - 538, -3 = 5*b - k*b. Is n a composite number? False Let f be -3*1 + -13 + -48. Let a = -36 - f. Let o = a + 7. Is o prime? False Let z(u) = 25624*u**3 + 2*u**2. Let f be z(1). Suppose 7791 = -15*o + f. Is o prime? False Let q = 42 + -37. Suppose -2456 - 2429 = -q*o. Is o prime? True Let g(r) = r**3 - 5*r**2 + r + 6. Let w be g(5). Let h = w - 9. Suppose -d = h*d - 786. Is d composite? True Let w(y) = -2282*y - 65. Is w(-2) a composite number? True Suppose -w - 2*w - 12656 = 4*g, 4*w = -3*g - 16870. Let x = w - -6011. Is x composite? True Let j = -76 + -19. Suppose 0*q = -q - 18. Let f = q - j. Is f a composite number? True Suppose -4*s - 6*s = -80090. Is s a composite number? False Let t = 81 + -78. Suppose -4*i + a - 1 = -33, 2*a = i - 8. Suppose t*y + 4855 = i*y. Is y composite? False Is (-1 - 0)/(((-8)/(-1594))/(-4)) a composite number? False Let z(p) = -p**3 - 6*p**2 + 9*p - 3. Let v be z(-7). Let c = -6 - v. Suppose -6*f = -c*f + 415. Is f a prime number? True Let o(v) = -2*v**3 - 22*v**2 - v + 32. Let d = 17 + -32. Is o(d) prime? True Let s = 565 - 94. Let l = 209 - s. Is (l/(-6))/((-2)/(-6)) prime? True Let m(r) = 70*r**2 + 6*r + 4. Let i be m(7). Suppose 4*g - p = i, 5*g = 3*p + 4116 + 229. Is g a composite number? True Let s(x) = -4*x**3 - 3*x**2 + 2. Let j be s(2). Let n = -107 - -174. Let h = j + n. Is h a prime number? False Suppose -2*n - h = -0*h - 6598, 3*n + 5*h - 9897 = 0. Is n prime? True Let k be 1*(2*-2 + -1). Let g(j) be the second derivative of j**4/12 + j**3/3 + j + 1
{ "pile_set_name": "DM Mathematics" }
m d*a**3 + s*a + k*a**2 + r and give s. -3 Rearrange 1 - 86*g - 3 + 84*g to the form v*g + q and give v. -2 Rearrange (-13 - 5 + 12)*(-1 + 1 + 2*h**2 + h**3) to p*h**3 + a*h**2 + z*h + l and give p. -6 Rearrange -q - 2*q - 2 + 1 + (q + 0*q - 3*q)*(2 + 0 + 0) to the form v + p*q and give p. -7 Express -10 - 5 + 6 + 2*r**4 - r**2 + 2*r + 3*r**2 as k*r**2 + h*r**4 + g*r + z*r**3 + v and give v. -9 Express v**4 - 3*v**4 + 4*v**2 - 5 + 3 + v**2 in the form c + h*v**4 + s*v + b*v**2 + z*v**3 and give c. -2 Rearrange -637 + 117*s - 644 + 1281 to q + l*s and give l. 117 Express -3*z**2 - 39*z**2 - 5*z**2 in the form d*z**2 + k + m*z and give d. -47 Rearrange (0*s + 15*s**2 - 78 - 2*s + 79)*(1 + 0 + 1)*(-3 - 3 + 4) to the form r*s**2 + l*s + m and give r. -60 Express (7 - 1 - 4)*(-5*o + 5*o - 2*o**4) + (-2*o**2 + o**3 + 2*o**2)*(4 - 4 - 2*o) in the form y*o**3 + m*o**2 + u + d*o + a*o**4 and give a. -6 Express -27*c**2 - 8 + 10 + 9*c**2 as h*c**2 + q*c + o and give o. 2 Express -k**2 - 156 + 82 + 74 - k + 4*k**3 as n + u*k**3 + f*k + d*k**2 and give n. 0 Express -2 - 3 + 5 - y in the form t*y + j and give t. -1 Express -s**2 - s**3 - 3*s + 0*s**2 + 3*s**2 in the form m*s**2 + o*s + t + g*s**3 and give g. -1 Express 0*q - 2*q**4 + 2 + 3*q**4 + 2*q**3 + q as c*q + f + v*q**4 + m*q**3 + p*q**2 and give c. 1 Rearrange -46*g - 5*g**4 - 2 + g**2 - 41*g + 86*g to k*g**4 + f*g**3 + w + d*g**2 + l*g and give d. 1 Rearrange 1 - 2*s**2 - 14*s**4 - s**3 - 8*s**4 - 2*s + 14*s**4 to o + g*s**3 + p*s**4 + k*s + c*s**2 and give p. -8 Express (-37*o**3 - 6 + 34*o**3 + 10)*(1 + 1 + 0) in the form r + h*o + t*o**3 + f*o**2 and give r. 8 Express -4 + 11 - 7 - l**2 - 2*l in the form j*l + h*l**2 + f and give h. -1 Rearrange 2*d**3 + d - d + 62*d - 62*d + 9*d**3 + (-2 - 2*d + 2)*(-4 + d**2 + 4) to the form m*d + g*d**3 + r + u*d**2 and give g. 9 Express -4*p**3 - 8 - 2*p + 2*p**3 - 2*p**2 + 8 in the form r*p + y*p**3 + g*p**2 + i and give g. -2 Rearrange 33*d**4 - 35*d**4 - 11 - 2*d**3 - 8 + 2*d**2 to h*d + x + r*d**3 + i*d**2 + s*d**4 and give x. -19 Rearrange (-3*x + 0*x + 8*x)*(-6*x**2 + 5*x**2 + 8*x**2) to the form z*x**2 + u*x**3 + h*x + b and give u. 35 Express -15*d - 1 + 9*d**2 - 26*d**2 + 16*d**2 in the form q*d**2 + y + w*d and give w. -15 Rearrange (-2*t - 3*t + 4*t)*(-6*t - 2 + 2) + (2*t + 2*t - 5*t)*(t + 0 + 0) - 2*t**2 + 0*t**2 - 2*t**2 to the form l*t + p*t**2 + h and give p. 1 Express -24 + 41 + 37*n - 18 in the form i*n + m and give i. 37 Express 0*y + 6*y - 2*y in the form f*y + d and give d. 0 Express -10*z**2 - 12*z**2 - z**2 as l*z**2 + f + a*z and give l. -23 Express 417*j + 2*j**2 - 419*j - 2*j**3 - 2*j**3 + 2*j**4 in the form l*j**4 + q + k*j + d*j**2 + z*j**3 and give l. 2 Rearrange (-3 - 1 + 3)*(-11*o - 264 + 264) + 2*o - 6*o + 0*o to l*o + k and give l. 7 Rearrange (3*m**2 - 4*m**2 - m**2)*(-2*m + 2*m + m) - 3 + 6*m**3 + 3 to j + o*m**2 + r*m**3 + a*m and give j. 0 Rearrange -s + s - 4*s**3 + (1 - 1 - 3*s**2)*(0 + 0 + 3*s) to the form m*s + t*s**3 + a*s**2 + j and give t. -13 Rearrange 15 + 3*d**2 + 211*d - 211*d to the form v*d**2 + x + b*d and give v. 3 Rearrange 9*w**2 + 12*w**2 - 13*w**2 + 17*w**2 to the form l*w**2 + g*w + m and give l. 25 Rearrange 4*b**2 - 7 - 1 + 8 to the form a + n*b + q*b**2 and give q. 4 Express (1 - 2 + 3 + 0 - 2 + 1 - 1 - 3 + 5 - 3 + 2 + 3 + (0 - 2 + 4)*(-2 + 1 + 2) - 2 + 5 - 1 - 2 - 5 + 3)*(0*q - 9*q + 19*q) as v*q + b and give v. 40 Express -66*i + 66*i - 9*i**2 as v + q*i + l*i**2 and give l. -9 Express 12 + 15 - 27 - 12*p as w*p + h and give w. -12 Rearrange (28 + 62 + 20)*(0*p**2 + 2*p**2 - p**2) to w*p + t + y*p**2 and give y. 110 Express 3*y - y**3 - 1 - 2*y**3 - 3*y**2 - y - y in the form d*y**2 + l + v*y**3 + t*y and give t. 1 Rearrange (-m - m + m)*(3 - 3 - 3)*(1 - m**2 - 1)*(0*m - 3*m + 5*m) to the form z*m**4 + h*m**3 + i + p*m**2 + b*m and give h. 0 Express (4 - 5 - 2)*(-2*t - 2*t + 2*t)*(-t - t + 0*t)*(-2 - 2 + 2) in the form c + i*t**2 + k*t and give i. 24 Express -24*u - 1 + 7 - 6 in the form d + t*u and give t. -24 Express (-2*r - r + 4*r)*(-2*r + 5 - 5) - r**2 - 4 + 4 + r**2 - 2*r**2 - r**2 + (0 - 9 + 6)*(-r**2 + 0*r**2 + 0*r**2) as i*r**2 + n + y*r and give i. -2 Express -p**3 - p - 46*p**2 + 46*p**2 - 3 + 0*p as o*p**3 + j*p**2 + c*p + d and give d. -3 Rearrange (-2*o + 0*o - 1 + o)*(4 - 2 + 1)*(2*o + 0*o + 0*o) to v + k*o + c*o**2 and give c. -6 Express 23*x**2 + 14*x**2 + 45*x**2 as k*x**2 + f + y*x and give k. 82 Rearrange 2*x**2 + 9*x**2 - 4*x**2 + 2*x**2 to m*x**2 + s*x + r and give r. 0 Rearrange (k - 4*k + 4*k)*(7*k - 2*k - 3*k) - 2*k**2 - k**2 + 0*k**2 + (2*k + k - 4*k)*(3 - k - 3) - k**2 + 6*k**2 - 2*k**2 to p*k**2 + z + t*k and give p. 3 Rearrange (-2*w + 2*w + w)*(-4*w + 11*w + 0*w) - 3*w + 3*w - 2*w**2 to the form r*w**2 + o*w + y and give r. 5 Rearrange -7*g + 16*g + 12*g + 0*g to t + j*g and give j. 21 Rearrange -29*y + 40*y - 13*y + 5 to v + w*y and give w. -2 Rearrange (-2*c**2 - 2*c**2 - 3*c**2)*((4*c - 5*c + 2*c)*(0*c - 2*c + c) + 3*c**2 - 5*c**2 + c**2) to the form v*c + q + l*c**2 + n*c**4 + t*c**3 and give n. 14 Rearrange (-292*l + 3 - 1 + 283*l)*(0*l**3 + 0*l**3 - 2*l**3) to i*l**4 + j*l**3 + k + x*l**2 + s*l and give s. 0 Rearrange 3*n**4 - 2*n**2 - 2*n - 3*n**4 + 2*n**3 - 2*n**4 to the form c*n**4 + r*n + m*n**2 + y*n**3 + o and give c. -2 Express (-38*f - 28*f + 13*f)*(-3 + f**2 + 3) in the form o*f**3 + m + p*f + h*f**2 and give o. -53 Rearrange -71*b**2 - 305 + 305 to the form m*b**2 + z*b + w and give z. 0 Rearrange (-62888*s - 224*s**2 + 62888*s)*((-1 - 5 + 4)*(-3*s - 2*s**2 + 3*s) - s**2 + 2*s**2 + s**2) to the form z*s + l*s**2 + d*s**3 + k + m*s**4 and give m. -1344 Rearrange 0*t - 2*t**2 + 5 + t**3 - 7 + 3*t - 2*t to i*t + l*t**3 + v*t**2 + b and give b. -2 Rearrange 14 - 5*u**3 + 2 + 6 + 3*u**3 to r*u**3 + j + a*u**2 + f*u and give r. -2 Rearrange (-4*u - u + 3*u)*((-1 + 2 + 1)*(-1 + 0 - 1) + 1 + 5 - 3) to the form n*u + g and give n. 2 Express (0*h - h + 3*h)*(2 - 2 + h) + 2*h**2 + 0 + 0 + 2 - 2 + h**2 - 2*h**2 + 0*h**2 - h**2 + 10 + 16 - 22 - 3*h**2 as v + d*h**2 + t*h and give d. -1 Express 3 - 8 + 28*w**3 + 7 as a + i*w + j*w**2 + o*w**3 and give a. 2 Rearrange h + 11*h**3 - 8*h**3 - 2*h**2 + 25 - 5*h**3 + 0*h to the form w*h**3 + x*h**2 + t*h + b and give t. 1 Rearrange (3*m + m - 2*m)*(0 - 8 - 9 + (-3 - 3 + 4)*(-2 + 3 - 2)) to the form r*m + i and give r. -30 Rearrange (-2*f + 0*f - 4*f)*(5*f - 5*f - 2*f**2 + 1) to c*f + y*f**3 + d + i*f**2 and give c. -6 Express -10 - 3*v**2 + 3*v**3 - v - 11 + 21 in the form l*v**2 + j + r*v + m*v**3 and give m. 3 Rearrange (1 + g - 1)*(2*g + g**2 - 2*g) + (-1 - 3 + 8)*(g**3 - 6*g**3 + 3*g**3) to z + q*g**3 + c*g + r*g**2 and give q. -7 Rearrange 5*z**3 + 4*z + 4 - 3*z + 0*z - 11 to s*z**2 + d*z**3 + l*z + q and give q. -7 Express (-2*w + 3*w - 2*w)*(-4 - 2 + 2)*(-3 + 7 + 1) in the form p*w + g and give p. 20 Rearrange 4*h**2 - 2*h**2 - h**2 + (0*h - 2*h + 4*h)*(-5 + 5 - h) + 258 + 8*h**2 - 258 to v*h + m*h**2 + w and give m. 7 Express -200 - u**4 + 199 - 3*u - 2*u**4 + 4*u in the form k*u**2 + i*u**4 + j*u + b*u**3 + n and give j. 1 Rearrange (-2*w**2 - 5 + 5)*(-30 - 9 + 58) + 5*w**2 + 0*w**2 - 4*w**2 to the form p*w**2 + z*w + d and give p. -37 Express (-32*p**3 - 30*p**3 - p**3)*(1 + 3 - 5)*(2 + 0 + 0) as z*p**3 + n*p + s + r*p**2 and give z. 126 Rearrange 1 + 0 - 3 + 0*j**3 - 27*j - j**3 to the form p + d*j + u*j**3 + n*j**2 and give p. -2 Rearrange -90*p + 42*p + 86*p to the form x + z*p and give z. 38 Rearrange 5*b**2 - 3*b + 25*b**3 - 3*b**2 - 2*b**4 - 23*b**3 to the form u*b**2 + s*b + x*b**4 + r + j*b**3 and give j. 2 Rearrange 4 - 4 + 4 - 5*v**3 - 2 to o*v + c*v**3 + k + i*v**2 and give k. 2 Rearrange 2*b - b**3 + b + b**3 + 2*b**3 - b**2 to the form t*b**3 + g*b + l*b**2 + x and give g. 3 Express (-y**4 + 5*y**3 - 5*y**3 + (-1 + 1 - 2*y**2)*(-y**2 + y**2 - y**2) - 26 + 26 - 6*y**4)*(1 + 2 - 4) as b*y + i + f*y**3 + r*y**2 + o*y**4 and give o. 5 Rearrange 7*f**2 - f**2 + 3*f**2 + (-3 + 2 + 3)*(-f**2 + 0 + 0) - 2*f**2 - 1 + 1 to the form w*f + n + g*f**2 and give g. 5 Express 13*y**4 - 1 - 6*y**3 + 13*y**4 - 23*y**4 + 7*y**3 in the form x + w*y**3 + d*y + b*y**2 + l*y**4 and give l. 3 Express u + 5 + 3*u - 5 a
{ "pile_set_name": "DM Mathematics" }
are the prime factors of w? 5, 19 Suppose -2*s + 5*v + 9 = 0, -4*v - v = s + 3. Suppose -s*n + 14 = -n. Let j = 74 - n. What are the prime factors of j? 2, 3, 5 Let d(p) = -36*p - 455. What are the prime factors of d(-27)? 11, 47 Suppose -5*i + 19 = -56. Let q = i + -9. List the prime factors of q/9*(-3 + 21). 2, 3 Let y(o) = -o + 10. Let a be y(6). Suppose -t + 16 = 3*t, -a*h + 4*t + 52 = 0. Suppose -2*l - h = -65. List the prime factors of l. 2, 3 Let a = 4877 + -361. List the prime factors of a. 2, 1129 Let i(z) = z**3 + 7*z**2 + 5*z - 7. Let t be (2 - (-3)/6)*-2. Let u be i(t). Suppose v = -v + u. What are the prime factors of v? 3 Suppose 627 = 11*o + 176. List the prime factors of o. 41 Let r(u) = u + 61. Let z(m) = 2*m + 91. Let d(c) = 8*r(c) - 5*z(c). What are the prime factors of d(15)? 3 Suppose 2*u - 134 = -0*u. Suppose l + 3 = u. Suppose -3*b = b - l. List the prime factors of b. 2 Suppose -437*i - 44325 = -452*i. What are the prime factors of i? 3, 5, 197 Let s(j) = -j**3 + 5*j**2 - 4*j - 3. Let w be s(5). Let d = -1 - w. List the prime factors of d. 2, 11 Let o(b) = b**3 - 5*b**2 + 5*b - 3. Let t be o(3). Let u = -5 + t. Let s = 0 - u. What are the prime factors of s? 11 Let u be -1*2/(-3)*9. Let q be ((-26)/u)/((-4)/12). Suppose 0 = -17*l + q*l + 64. List the prime factors of l. 2 Suppose 2*j = -b + 1676, -2*j - 2*b = -j - 832. What are the prime factors of j? 2, 3, 5, 7 Let u(q) = -q**3 - 7*q**2 + 3*q - 7. Let p be u(-6). What are the prime factors of 5 + (5 - p)/3? 3 Suppose -h - 41 = -5*z, 2*z + 6 = -h - 0*h. Let f = h - -19. Suppose f*d - 4*a - 25 = 0, -99 + 34 = -3*d - 4*a. What are the prime factors of d? 3, 5 Let l = 26 + -17. Suppose -1496 = -l*q - 2*q. List the prime factors of q. 2, 17 Let t be (12/16)/((-2)/8). What are the prime factors of (t/6)/((-1)/40)? 2, 5 What are the prime factors of (-133*(-2)/14)/((-1)/(-10))? 2, 5, 19 Let a(j) = -3*j - 38. Let d be a(-9). Let s(p) = -12*p - 4. List the prime factors of s(d). 2 Let r(p) = -p + 36. Suppose 0 = -10*i + 5*i. List the prime factors of r(i). 2, 3 Let x(o) be the first derivative of o**3/3 + 3*o**2/2 + 5*o + 10. What are the prime factors of x(7)? 3, 5 Suppose -70 = 5*t + 5*j, -t + 3*t - 2*j = -40. Let u(w) = -w**2 - 25*w - 12. List the prime factors of u(t). 2, 31 Let v = 221 + 194. Suppose -26*b + 21*b + v = 0. What are the prime factors of b? 83 List the prime factors of 0/(-2) + (-35159 - 9)/(-16). 2, 7, 157 List the prime factors of (4 - 2) + (-2 - (-363)/1). 3, 11 Let y(v) = -v**2 + 7*v - 6. Let s be y(4). Let d = -6 + s. Suppose d = -2*t + 13 + 1. List the prime factors of t. 7 List the prime factors of (-3)/((-9)/8)*(-37152)/(-64). 2, 3, 43 Suppose 0 = -3*z + 4*z + 5*m + 45, 54 = -2*z + 2*m. Let f = -634 + 619. What are the prime factors of (-18)/(-4) + f/z? 5 Suppose 0 = d - 3*c + 15, 3*d - 2*c + 37 = -c. Suppose -6*n + 2*n = r + 59, -4*n = -4*r - 196. List the prime factors of 4/((d/r)/2). 2, 17 List the prime factors of -370*(-4 - (-51)/15). 2, 3, 37 Let f(k) = -177*k - 100. What are the prime factors of f(-4)? 2, 19 Let u = -148 - -715. List the prime factors of u. 3, 7 Suppose 76*l - 60500 = 32*l. What are the prime factors of l? 5, 11 Suppose -4*l = -3*s - 679 - 88, -387 = -2*l + 5*s. List the prime factors of l. 191 Suppose 0 = -3*k, -4*k + 4092 = 2*y - 6*k. List the prime factors of y. 2, 3, 11, 31 Let k(q) = -2*q**2 + 15*q - 13. Let h be k(7). What are the prime factors of h*(-508)/60 + 2/10? 3, 17 Suppose 0 = -t - 0*z + 3*z + 16, -2*t + 59 = 3*z. Suppose l + 83 = f + t, 0 = -4*f + 5*l + 232. What are the prime factors of f? 2, 29 Suppose 6 - 78 = -2*a. List the prime factors of ((-127)/2)/((-18)/a). 127 Let u be (10/(-15))/((-2)/93). Let n be 2/10 + u/(-5). Let d(i) = i**3 + 8*i**2 + 8*i - 3. What are the prime factors of d(n)? 3, 7 Suppose 5*m = -t + 200, -5*t - 11*m + 944 = -14*m. What are the prime factors of t? 2, 5, 19 Let p be 2*3 - 2/(-5)*-10. Suppose -p*s + 5*o = -468, -6 + 2 = -2*o. What are the prime factors of s? 239 Suppose 22 = -0*f + f. Let a be f + 4/(-8 + 4). Suppose 0 = -4*i - 5 + a. What are the prime factors of i? 2 Suppose -2*v = 10, 4*v + 62 = 5*h - 3. Suppose -4*n + 222 = 2*a, 5*a + h*n - 7*n = 539. List the prime factors of a. 107 Suppose -455*l = -465*l + 35460. List the prime factors of l. 2, 3, 197 Let q = -388 - -652. List the prime factors of q. 2, 3, 11 Let l be ((-1)/(-2))/(4/24). Let c(d) = -d**l + 9*d + 0*d**2 + 7*d**2 + 74 - 77. What are the prime factors of c(8)? 5 Let v(p) = p - 3. Let l be v(6). What are the prime factors of 224/42*l/2? 2 Let g(z) = z**3 - z**2 - z + 2. Let h be g(-2). Let n = h + 6. What are the prime factors of (-3)/n*(2 - -8)? 3, 5 Suppose 5*g = -2*z - 945, -2*z - 170 - 11 = g. Let j = 273 + g. List the prime factors of j. 2, 41 Let j(c) = c**2 + 2*c - 3. Let o be j(-3). Let k(f) be the third derivative of f**5/60 + 31*f**3/6 - 13*f**2 - 3*f. What are the prime factors of k(o)? 31 Let g = 763 + -525. Suppose -g - 146 = -4*t. Suppose t - 6 = 6*y. What are the prime factors of y? 3, 5 Suppose -4*v - 36 + 0 = -2*b, 5*b + 2*v = 90. Let t = -4 + b. Let r(n) = -n**2 + 16*n + 10. List the prime factors of r(t). 2, 19 Let f = 122 - 118. Suppose r = f*i - 1014, -3*i + 282 = -4*r - 485. List the prime factors of i. 11, 23 Let t(r) = -r**3 + 17*r**2 - 16*r - 2. Let l be t(16). Let h = 37 - l. List the prime factors of h. 3, 13 Suppose -21*k + 23*k = 56. List the prime factors of k. 2, 7 Let v(a) = 18*a - 160. List the prime factors of v(16). 2 Let n(u) = u**2 + 8*u + 7. What are the prime factors of n(-26)? 5, 19 Let f be (-4)/4 + 14 - -1. Let l(x) = x - 5. Let b be l(f). Let v = 14 - b. What are the prime factors of v? 5 Let g(a) = 6*a**2 - 43*a - 218. What are the prime factors of g(-26)? 2, 3, 7, 59 Let t = 187 + 125. List the prime factors of t. 2, 3, 13 Let z be (-76)/(-6)*(-270)/180. Let f(t) = 18*t**2 - 15*t + 4*t**3 - 6*t - 3*t**3 - 19. List the prime factors of f(z). 19 Suppose 6*y - 3*y = 3*h + 21, 4*y - 5*h - 33 = 0. Suppose 351 = y*k + 65. List the prime factors of k. 11, 13 Let c(r) = r**2 - r. Let x(n) = -3*n**2 + 6*n + 1. Let k(y) = 4*c(y) + x(y). Let d be k(0). Let a(l) = 19*l**2 - 3*l + 1. List the prime factors of a(d). 17 Let m(t) = t**3 + 2*t**2 + 43. List the prime factors of m(0). 43 Suppose 0 = -3*g + 12 - 0. Let c(p) = -10*p - 9. Let f be c(g). What are the prime factors of 2/(-14) + (-1820)/f? 37 Let n = -52 - -102. Let q = n + -134. Let j = -46 - q. What are the prime factors of j? 2, 19 Let r = -2028 + 7996. Suppose -3*v + r = 1972. List the prime factors of v/54 - (-2)/6. 5 Let s = 138 + -54. Suppose -5*r = -106 - s. Suppose -v = -r - 6. List the prime factors of v. 2, 11 Let l = 11 - 6. Suppose 2 = -3*m - 5*b, -m - 2*m + l = -2*b. What are the prime factors of m*(-1 - 0 - -37)? 2, 3 Suppose 3*j = 2*j. Let s be j - (-3 - (0 - 1)). Suppose -k = -s*k + 47. List the prime factors of k. 47 Let u(h) = -h**2 + 18*h - 9. Let d be u(6). List the prime factors of 95*(4/6)/(70/d). 3, 19 Suppose 46*a - 3700 = 41*a. List the prime factors of a. 2, 5, 37 Suppose 49 = -p + 28. Let j = 79 - p. List the prime factors of j. 2, 5 Let v(y) = -y**3 - 11*y**2 + 7*y + 6. Let t be v(-11). Let k = 141 + t. What are the prime factors of k? 2, 5, 7 Let o = -2575 - -3864. List the prime factors of o. 1289 Let t be -3*((-4)/6)/(6/9). What are the prime factors of (230/40)/((-2)/(-32)) - t? 89 Let k(g) = -561*g - 4. What are the prime factors of k(-4)? 2, 5, 7 Suppose -3*b = -d + 49 - 1, -2*b - 2*d - 40 = 0. Let z = -13 - b. Suppose -2*t - w = 18 - 55, 0 = -5*t + z*w + 125. What are the prime factors of t? 3, 7 Let t(y) = -y + 1. Let z(v) = 2*v - 13. Let q(k) = 3*t(k) + z(k). Let c be q(-13). Suppose -9*n + c*n = -174. List the prime factors of n. 29 Suppose -u + 24 = 4. Let k = 96 - u. List the prime factors of k. 2, 19 Suppose 36*x = -11*x + 21855. What are the prime factors of x? 3, 5, 31 Let z(r) = -r + 23. Let p be z(-10). Suppose -o - p = -80. Suppose 5*a - o - 83 = 0. List the prime factors of a. 2, 13 Suppose 6*k = k + 15. Suppose 4*y - 10 = -2*a, k*y - 3*a = a + 24. Suppose u - 110 = -y*v, -4*v + 61 = -u - 53. List the prime factors of v. 2, 7 Let r = -27 + 30. Suppose -i = -4*s - 6*i + 14
{ "pile_set_name": "DM Mathematics" }
? 454 What is 690 minutes after 8:56 AM? 8:26 PM How many minutes are there between 7:45 AM and 5:05 PM? 560 How many minutes are there between 7:30 PM and 12:22 AM? 292 How many minutes are there between 11:04 AM and 3:13 PM? 249 How many minutes are there between 7:00 AM and 2:09 PM? 429 What is 154 minutes after 1:15 AM? 3:49 AM What is 399 minutes after 9:49 AM? 4:28 PM How many minutes are there between 3:42 PM and 3:09 AM? 687 How many minutes are there between 11:09 PM and 9:06 AM? 597 How many minutes are there between 11:58 AM and 10:58 PM? 660 How many minutes are there between 3:02 AM and 7:48 AM? 286 How many minutes are there between 4:39 PM and 1:51 AM? 552 How many minutes are there between 11:43 AM and 10:10 PM? 627 What is 410 minutes before 2:03 PM? 7:13 AM What is 197 minutes after 7:53 AM? 11:10 AM What is 90 minutes after 10:49 AM? 12:19 PM What is 405 minutes after 4:40 PM? 11:25 PM How many minutes are there between 12:19 PM and 5:22 PM? 303 What is 98 minutes before 2:26 PM? 12:48 PM What is 439 minutes before 11:43 AM? 4:24 AM How many minutes are there between 11:41 AM and 7:06 PM? 445 What is 538 minutes before 7:27 PM? 10:29 AM What is 444 minutes after 10:33 AM? 5:57 PM What is 376 minutes before 7:21 PM? 1:05 PM How many minutes are there between 6:49 PM and 6:20 AM? 691 How many minutes are there between 3:33 PM and 7:57 PM? 264 What is 121 minutes before 3:51 PM? 1:50 PM What is 480 minutes after 9:36 PM? 5:36 AM What is 63 minutes after 9:04 AM? 10:07 AM How many minutes are there between 7:48 PM and 1:15 AM? 327 What is 2 minutes before 8:14 PM? 8:12 PM What is 584 minutes before 7:31 PM? 9:47 AM How many minutes are there between 5:18 AM and 7:52 AM? 154 What is 153 minutes after 10:45 PM? 1:18 AM How many minutes are there between 3:24 PM and 11:34 PM? 490 How many minutes are there between 3:57 PM and 10:13 PM? 376 How many minutes are there between 11:21 AM and 2:27 PM? 186 What is 405 minutes after 9:06 AM? 3:51 PM What is 6 minutes before 6:33 AM? 6:27 AM What is 568 minutes before 12:39 PM? 3:11 AM How many minutes are there between 4:47 AM and 11:27 AM? 400 What is 266 minutes before 6:34 AM? 2:08 AM What is 676 minutes before 8:22 PM? 9:06 AM How many minutes are there between 10:25 AM and 7:42 PM? 557 What is 470 minutes after 6:01 PM? 1:51 AM How many minutes are there between 7:34 PM and 6:08 AM? 634 How many minutes are there between 11:10 PM and 10:10 AM? 660 What is 153 minutes before 6:13 PM? 3:40 PM What is 135 minutes after 10:00 PM? 12:15 AM How many minutes are there between 12:36 AM and 11:54 AM? 678 What is 342 minutes after 7:45 PM? 1:27 AM What is 137 minutes after 12:23 AM? 2:40 AM What is 202 minutes before 5:54 AM? 2:32 AM What is 252 minutes after 12:08 PM? 4:20 PM How many minutes are there between 11:16 AM and 2:33 PM? 197 How many minutes are there between 11:40 PM and 9:10 AM? 570 What is 394 minutes before 5:12 PM? 10:38 AM What is 578 minutes after 7:26 PM? 5:04 AM How many minutes are there between 8:50 PM and 4:16 AM? 446 How many minutes are there between 9:39 PM and 4:35 AM? 416 How many minutes are there between 6:57 PM and 3:55 AM? 538 How many minutes are there between 8:17 PM and 10:18 PM? 121 What is 607 minutes before 8:52 AM? 10:45 PM How many minutes are there between 11:56 PM and 6:02 AM? 366 How many minutes are there between 12:47 AM and 11:48 AM? 661 What is 240 minutes before 6:13 AM? 2:13 AM How many minutes are there between 6:10 PM and 8:25 PM? 135 How many minutes are there between 8:57 PM and 1:48 AM? 291 What is 298 minutes before 7:25 AM? 2:27 AM What is 643 minutes after 2:51 PM? 1:34 AM What is 345 minutes after 5:03 PM? 10:48 PM How many minutes are there between 12:13 PM and 7:01 PM? 408 How many minutes are there between 6:22 AM and 9:28 AM? 186 How many minutes are there between 7:10 PM and 8:39 PM? 89 What is 137 minutes after 4:43 AM? 7:00 AM What is 302 minutes after 3:05 PM? 8:07 PM What is 687 minutes before 12:10 PM? 12:43 AM How many minutes are there between 2:57 AM and 11:37 AM? 520 How many minutes are there between 10:11 PM and 9:57 AM? 706 What is 525 minutes before 7:47 PM? 11:02 AM What is 217 minutes before 7:42 AM? 4:05 AM How many minutes are there between 4:36 PM and 3:53 AM? 677 What is 492 minutes after 1:24 PM? 9:36 PM How many minutes are there between 10:11 AM and 8:29 PM? 618 What is 665 minutes before 11:34 PM? 12:29 PM How many minutes are there between 11:59 AM and 9:23 PM? 564 How many minutes are there between 4:26 PM and 7:21 PM? 175 What is 252 minutes before 2:39 AM? 10:27 PM How many minutes are there between 10:53 AM and 1:18 PM? 145 What is 252 minutes before 3:21 AM? 11:09 PM How many minutes are there between 1:08 PM and 10:00 PM? 532 How many minutes are there between 5:45 AM and 4:42 PM? 657 How many minutes are there between 10:48 PM and 5:42 AM? 414 How many minutes are there between 6:38 PM and 10:52 PM? 254 How many minutes are there between 12:57 PM and 10:43 PM? 586 What is 313 minutes before 6:53 PM? 1:40 PM What is 305 minutes after 8:38 AM? 1:43 PM How many minutes are there between 9:36 PM and 8:46 AM? 670 How many minutes are there between 3:08 AM and 2:20 PM? 672 How many minutes are there between 7:34 PM and 6:13 AM? 639 How many minutes are there between 2:36 PM and 2:50 PM? 14 What is 209 minutes before 12:38 PM? 9:09 AM How many minutes are there between 11:57 AM and 2:05 PM? 128 What is 323 minutes before 11:04 PM? 5:41 PM How many minutes are there between 6:35 PM and 11:58 PM? 323 How many minutes are there between 7:12 AM and 10:16 AM? 184 What is 663 minutes after 9:34 PM? 8:37 AM How many minutes are there between 1:11 AM and 7:17 AM? 366 What is 628 minutes after 8:39 AM? 7:07 PM What is 374 minutes after 12:16 PM? 6:30 PM What is 620 minutes before 11:15 AM? 12:55 AM How many minutes are there between 4:23 AM and 11:49 AM? 446 What is 688 minutes before 1:05 AM? 1:37 PM How many minutes are there between 7:34 AM and 6:35 PM? 661 What is 664 minutes after 7:43 PM? 6:47 AM How many minutes are there between 11:22 PM and 6:41 AM? 439 How many minutes are there between 7:10 AM and 12:32 PM? 322 What is 491 minutes before 8:38 PM? 12:27 PM How many minutes are there between 2:42 PM and 9:42 PM? 420 How many minutes are there between 6:31 PM and 6:13 AM? 702 How many minutes are there between 3:29 AM and 8:56 AM? 327 How many minutes are there between 5:37 AM and 3:07 PM? 570 How many minutes are there between 9:26 PM and 7:33 AM? 607 What is 20 minutes before 10:41 PM? 10:21 PM How many minutes are there between 1:31 PM and 10:59 PM? 568 How many minutes are there between 7:59 AM and 10:33 AM? 154 How many minutes are there between 12:18 PM and 9:35 PM? 557 What is 293 minutes before 2:22 PM? 9:29 AM What is 167 minutes before 3:25 AM? 12:38 AM What is 679 minutes after 5:35 PM? 4:54 AM What is 145 minutes after 8:08 AM? 10:33 AM What is 636 minutes before 9:15 PM? 10:39 AM What is 699 minutes before 10:11 PM? 10:32 AM What is 388 minutes before 10:53 AM? 4:25 AM What is 584 minutes before 6:32 PM? 8:48 AM What is 360 minutes before 1:57 AM? 7:57 PM How many minutes are there between 6:54 AM and 7:13 AM? 19 What is 667 minutes before 5:27 PM? 6:20 AM How many minutes are there between 6:08 AM and 12:50 PM? 402 What is 40 minutes before 10:07 PM? 9:27 PM What is 661 minutes before 5:55 PM? 6:54 AM What is 117 minutes after 9:36 PM? 11:33 PM What is 207 minutes before 12:21 AM? 8:54 PM How many minutes are there between 4:01 AM and 5:44 AM? 103 How many minutes are there between 12:21 PM and 10:13 PM? 592 How many minutes are there between 12:20 PM and 2:27 PM? 127 What is 631 minutes before 2:23 PM? 3:52 AM How many minutes are there between 5:25 PM and 1:26 AM? 481 How many minutes are there between 3:09 AM and 5:44 AM? 155 What is 708 minutes before 6:51 PM? 7:03 AM How many minutes are there between 5:35 PM and 5:06 AM? 691 What is 704 minutes after 8:45 PM? 8:29 AM How many minutes are there between 7:43 AM and 5:48 PM? 605 How many minutes are there between 10:03 PM and 2:12 AM? 249 What is 300 minutes after 4:07 AM? 9:07 AM What is 682 minutes after 1:41 PM? 1:03 AM What is 532 mi
{ "pile_set_name": "DM Mathematics" }
is the closest to 0.3868? (a) -0.046 (b) 2/7 (c) 5 b What is the nearest to -1/4 in -2/7, -0.2, -304/7, 1, 15? -2/7 Which is the closest to -1? (a) 0.4 (b) 2 (c) 19 (d) 14 (e) 0 e Which is the nearest to 1? (a) -2 (b) -1066/9 (c) 5 a What is the nearest to -4/7 in -0.4, -0.01, 4, 6? -0.4 Which is the closest to -16? (a) -17/52 (b) 7/3 (c) 2 (d) -2/5 d Which is the closest to 58? (a) -7/5 (b) -2/3 (c) 0.07 (d) 2 d Which is the closest to -0.1? (a) 0.5 (b) -3/4 (c) -9/67 (d) 1 (e) -1.5 c Which is the nearest to 0? (a) 2988 (b) -3 (c) -2 c Which is the closest to -1? (a) -18.9 (b) 4 (c) -10 b Which is the closest to -0.3? (a) -3.8 (b) -0.3 (c) 12/11 (d) 0 (e) 0.1 b Which is the closest to 0? (a) 28 (b) 0.332 (c) -3/2 b Which is the nearest to 0.5? (a) -3/7 (b) -0.1 (c) -100 (d) -0.4 b Which is the nearest to 1? (a) 4 (b) 2/7 (c) -1.5577 (d) -5 b Which is the closest to 2? (a) 1 (b) -27 (c) 173 a Which is the closest to 0.1? (a) -15 (b) 2/11 (c) -4/3 (d) 0.129 d What is the closest to -1/2 in -3334, 4, 2/3? 2/3 What is the closest to 1 in 4, -0.2, -0.8, -107? -0.2 Which is the nearest to 0? (a) -1/2 (b) 3 (c) 1/4 (d) -931 (e) 0 e What is the closest to 2/7 in 3, -0.652, -1/2, -0.11? -0.11 Which is the nearest to -1? (a) 1/2 (b) -2 (c) -7/5 (d) -1 (e) -0.1 d Which is the nearest to 0.32? (a) -0.5 (b) 204/13 (c) -1 a What is the closest to -20 in -5, 5, -967? -5 Which is the closest to 0.5? (a) -0.04 (b) -5 (c) 1/6 (d) -0.36 c What is the nearest to 0.2 in -0.2, 2.2, 23, -4, -6? -0.2 Which is the nearest to -167? (a) -5 (b) -0.13 (c) -4 a Which is the closest to -1/2? (a) 12 (b) -1/2 (c) 2/7 (d) -60 (e) 2/5 b What is the nearest to -33 in -0.03, 2, 1892? -0.03 Which is the closest to -1/3? (a) -7 (b) 79 (c) -2 c Which is the closest to 35/6? (a) 0 (b) -0.043 (c) 1/9 (d) -2/5 c What is the closest to 347 in -1/14, -2, -2/3? -1/14 Which is the closest to -5? (a) 4 (b) -0.04 (c) -108 b What is the nearest to 2 in -21428, -0.3, -3/5, -2/15? -2/15 What is the closest to 1/3 in 0.4, 3/7, 12, -3/4? 0.4 What is the nearest to 1 in -0.276, -4, 1/4? 1/4 What is the nearest to -126.5 in 0, 3/2, 0.05? 0 What is the nearest to 2/11 in -0.1, -1/6, 0.021? 0.021 What is the closest to 4 in -1, 8, -5, -1/6, 6? 6 What is the nearest to -7 in 3, 2258, 0.3, 0.2? 0.2 Which is the nearest to 1.6? (a) -340 (b) 1 (c) 2 (d) 23/2 c Which is the nearest to 1? (a) 467 (b) 0.4 (c) 5 (d) -6.4 b Which is the nearest to 481? (a) -3/40 (b) 0.3 (c) -2/7 (d) 3 d What is the closest to -1 in -563, -37, -2/3, 0.2? -2/3 What is the closest to 2/3 in 0.022, 0.12, -2, 0.2, -32? 0.2 What is the nearest to -88 in 0.2, 0.16, -3/4, -0.34? -3/4 Which is the closest to -2? (a) 5/11 (b) 2/7 (c) -2/9 (d) -9/4 (e) 2/5 d Which is the closest to -263? (a) -0.064 (b) -0.2 (c) -1 (d) 1 c What is the nearest to 3 in -0.05, 2/7, 9, 2, 21? 2 What is the nearest to 0.645 in 2, -0.04, 0.4? 0.4 Which is the closest to 0.1? (a) -47 (b) -0.29 (c) -14 (d) 4 b Which is the closest to -0.3? (a) -0.9 (b) 4 (c) 0.544 a What is the nearest to 11 in 0.4, -9.46, -1, -5, -1/2? 0.4 What is the closest to -1 in 2, -1, -80? -1 What is the nearest to -1.29 in 5, 0, 2/11? 0 What is the nearest to -1 in 11/538, 7, 1/2? 11/538 What is the closest to 2/17 in 10, 3/35, -8? 3/35 What is the closest to -43 in 0, -0.127, 1? -0.127 What is the nearest to 3.3 in 0, 68, -0.2, -0.4, 0.4? 0.4 What is the nearest to -4 in -13/9, -5, -732? -5 Which is the nearest to -0.2? (a) 2/9 (b) -182 (c) -0.1 (d) -0.07 c Which is the closest to 47? (a) 0.19 (b) -0.4 (c) 3 c Which is the closest to -2? (a) -39 (b) -6 (c) -5 (d) 0.21 d What is the nearest to -526 in 5, 1, -8/13, 0.1? -8/13 What is the closest to -2/5 in -1, 2/19, 0.5, -0.91? 2/19 What is the closest to -836.3 in -0.5, -3, 0.4, -4? -4 What is the closest to -13/7 in 3, -0.08, 4/7, 0.4? -0.08 Which is the nearest to -1? (a) -0.3 (b) -1/40 (c) 131 a Which is the closest to 0.04? (a) -0.06 (b) 2/5 (c) -4 (d) 0.06 (e) -104 d Which is the nearest to 82? (a) -30/11 (b) -0.5 (c) 0.4 (d) -2/9 c What is the nearest to 5 in 0, -4/3, 463? 0 Which is the nearest to 0.1? (a) -1/6 (b) 682/9 (c) -1/5 a Which is the nearest to 1/2? (a) 0.2 (b) -1 (c) -0.2 (d) 3.31 (e) 48 a Which is the nearest to 1? (a) 7926 (b) -7/3 (c) -4 (d) 2 (e) -2 d What is the closest to 0.9 in 5, 0.079148, -5? 0.079148 What is the closest to -13 in 0.4, -6, 0.02, -63, 4? -6 What is the nearest to 38 in -5, 6, -110, -2? 6 What is the closest to -1 in 10/29, -2, 5, 22, 20? -2 What is the closest to -2/5885 in 1/3, 0.3, 0.03? 0.03 Which is the closest to 2? (a) 1/7 (b) -2/9 (c) 11/100 (d) 2/3 (e) -1/4 d Which is the nearest to -8? (a) -2/3 (b) 2/57 (c) 21 a Which is the nearest to 0.2? (a) 1 (b) 1/4 (c) 14 (d) 2/23 (e) -0.4 b Which is the closest to -1.36? (a) -1 (b) -1/2 (c) -2/5 (d) -680 a What is the nearest to 57 in -0.4, -15, 0.05, -39? 0.05 What is the closest to -2/5 in 7, -17, -1/4? -1/4 Which is the nearest to 2/3? (a) -0.4 (b) 326/25 (c) 0.06 c What is the nearest to -3 in 3, 361, -5? -5 Which is the nearest to -0.28? (a) -15 (b) 4 (c) 548 (d) 0 (e) -2/17 e Which is the closest to 0.5? (a) -0.056 (b) 0.1 (c) -0.09 b Which is the nearest to 0? (a) 1 (b) -11 (c) 52 (d) -3 a What is the nearest to -22 in -2, 4/3, 0.01, -1? -2 Which is the nearest to 0.03? (a) -0.2 (b) 1/2 (c) 3 (d) -0.4 (e) 10.8 a Which is the closest to -1? (a) -3 (b) 0 (c) -1.13 (d) -3/7 (e) -4 c What is the nearest to 0.2 in 0.39, 343, 0? 0.39 Which is the nearest to -0.1? (a) -6138 (b) -1/3 (c) -0.1 (d) -3 c Which is the closest to 5.2? (a) -2/11 (b) 0.074 (c) -0.2 b Which is the nearest to 1/3? (a) 0.1 (b) 979 (c) -4 (d) -0.3 a What is the closest to -0.2 in 111, 2/7, 22? 2/7 Which is the closest to 2.72? (a) -0.2 (b) -5 (c) -2/7 (d) 6 (e) 2/9 e Which is the nearest to -1? (a) -17/6 (b) 4 (c) -54/53 c What is the closest to -3 in -40, -1, -24, 5? -1 Which is the nearest to -70? (a) -9 (b) 0.1 (c) 3 (d) -1/5 (e) 20 a What is the nearest to 2938 in 2, 0.4, -0.2? 2 What is the nearest to 2 in -0.1, -6836, 1? 1 Which is the nearest to 2? (a) -0.3 (b) -8 (c) -0.027 (d) 3 (e) -1/3 d What is the nearest to 2/11 in 37/6, -5, 101, -3? -3 What is the nearest to -1 in 6, 0, -57297? 0 What is the closest to -44 in -7/5, 4, 8, -2/9? -7/5 What is the nearest to -1604 in -2/11, -0.4, 4, 2/7? -0.4 What is the nearest to -3 in 5, 1/15, 32? 1/15 What is the nearest to -20.5 in 7, 15, 4? 4 Which is the nearest to -2/7? (a) 1/8 (b) -0.049 (c) -5 (d) -8 b Which is the nearest to 2? (a) 0.1 (b) -1 (c) -104 (d) 6 (e) 1/9 e Which is the nearest to -1? (a) 0.19 (b) 3 (c) 0.5 (d) -1 d What is the nearest to 44 in 5, 0.156, 3? 5 Which is the closest to 4? (a) 0.03 (b) 20 (c) 0 (d) -1 (e) -3 a Which is the nearest to -0.1? (a) 3/5 (b) -4 (c) -40.4 (d) 1/6 (e) -1/28 e What is the closest to -4/23 in 4/5, 2, 0.15, -0.1? -0.1 What is the closest to 1543 in -0.1, -3, 2/7? 2/7 What is the nearest to -0.1 in 4, -1, 8/13, -0.4? -0.4 What is the closest to -9 in -0.1, 3, -5, -4/7, -0.5? -5 What is the closest to 0 in 0.1, 2/535, 1/8, 0, 96? 0 Which is the closest to 1/3? (a) 0.2 (b) 1 (c) 0.1 (d) -0.055 (e) 12 a Which is the nearest to -1/8? (a) -6 (b) -0.1 (c) 1/37 b Which is the nearest to 5.8? (a) -2 (b) 5 (c) -2/3 b What is the nearest to -2 in -0.2, -5, 0.3, -11/5, -0.5? -11/5 What is the closest to 0.1 in 9, 0.2, 0.4, -112, -54? 0.2 Which is the closest to -1? (a) 4 (b) -14/37 (c) 9 (d) -2/3 (e) -8 d What is the closest to 0.5 in 2, 0, 22/3, -5? 0 Which is the nearest to 1? (a) 0.1 (b) -0.05 (c) 7/22 c What is the closest to 2/11 in 1/5, 2.7, -137? 1/5 Which is the nearest to 2/7? (a) 31 (b) 5 (c) 0.17 (d) -3/8 c What is the closest to 6933 in 21, 0.2, -2? 21 Which is the closest to -1? (a) -3/5 (b) 0.4 (c) -0.0770617 a Which is the nearest to 3? (a) 5 (b) 0.28 (c) 61 (d) -4 a Which is the closest to 13? (a) 5/3 (b) -3.101 (c) -0.5 a What is the closest to -1/4 in 2/33, 0.2, 5/4, -0.27? -0.27 What is
{ "pile_set_name": "DM Mathematics" }
144021 = -5*j. Suppose 5*w = -3*s - 72003, -2*s + 5*s + j = -2*w. What is w rounded to the nearest one thousand? -14000 Let s(q) = -30286015*q**3 - 1. Let v be s(-1). Let h be (14 - 7)*v/7. Suppose 4*r + h = -20913986. What is r rounded to the nearest one million? -13000000 Let g = 49.066 + -0.066. Let n = g + -43.8. What is n rounded to zero decimal places? 5 Let h = 45316575136 + -45316575522.00000362. Let x = h - -386. What is x rounded to 7 decimal places? -0.0000036 Let v = 62 - 62.043. Let o = 0.043212 + v. Round o to 5 decimal places. 0.00021 Let q = -91 + 90.63. Let a = q + 0.1. What is a rounded to 1 dp? -0.3 Suppose 3*v = -n - 1307699, -4*v - 1743598 = -22*n + 24*n. Round v to the nearest ten thousand. -440000 Let f = 5356369882700347.0000059 - 5356368216034396. Let l = 1666665837 - f. Let y = l - -114. What is y rounded to six dps? -0.000006 Let y = 156.8312 - 157. Let p = -30 + 29.83. Let i = p - y. Round i to four decimal places. -0.0012 Let r = 322364 + -322357.999997. Let b = -14.3 - -20.3. Let m = r - b. Round m to six decimal places. 0.000003 Let z = 8 - 6.7. Let q = z - 0.54. Let x = -0.760155 + q. Round x to 5 dps. -0.00016 Let u = 1.34 - 0.993. Let n = 3.137 - u. What is n rounded to one dp? 2.8 Suppose -4 = -2*i - 0*i. Suppose i*b - 5 + 1 = 0. Suppose b*w = -3*u - 2*w + 3509984, -u + 3*w + 1170012 = 0. Round u to the nearest one hundred thousand. 1200000 Let n = -102696 - -265996. What is n rounded to the nearest ten thousand? 160000 Let m = -1134.5 - -623.4. What is m rounded to the nearest ten? -510 Let l = -1499.825 - -1500. Let y = 508.275 + -519. Let v = y - l. Round v to 0 dps. -11 Let j = 0.127 + -0.09365. What is j rounded to 2 decimal places? 0.03 Let g = -454 + 449.225. Let x = 4.9 + g. Round x to 2 decimal places. 0.13 Let s = -3.1 + 3.28. Let j = 3.42 + s. What is j rounded to zero dps? 4 Let y(h) = 275001*h**3 + 5*h**2 - 7*h + 1. Let m be y(1). Round m to the nearest 10000. 280000 Let x = 198 - 197.827. Let l = x - 0.1579. What is l rounded to three dps? 0.015 Let x(q) = -299*q**2 - 2*q. Let o be x(2). Let c(h) = 59*h**2 + 1. Let w be c(1). Let l be o/28*w*35. What is l rounded to the nearest 100000? -100000 Let a(f) = 4*f - 17. Let b be a(5). Let d be -2 - b/(12/(-304)). Let s = d - 49. Round s to the nearest 10. 30 Let x = -0.191 - -0.1973. What is x rounded to three decimal places? 0.006 Let c = 25 - 23. Let z(t) = -2750*t**3 + t**2 - t - 2. Let h be z(c). Round h to the nearest 10000. -20000 Suppose -2*y - 3*d + 22836 = y, 3 = -3*d. Suppose 10*m = -3787 - y. What is m rounded to the nearest one hundred? -1100 Let z = -21007.39003 + 20900.39. Let x = -107 - z. What is x rounded to four dps? 0 Let s = -87 + 87.0000906. Round s to 6 decimal places. 0.000091 Let f = 26.4 - 30. Let d = f + -11.6. What is d rounded to the nearest integer? -15 Let l = 12.021 + -3386.521. Let z = l + 3354.549. Let p = 20 + z. What is p rounded to two decimal places? 0.05 Let v = -70.7 - 214.3. Let y = 4510.268149 + -4795.2681353. Let o = y - v. Round o to 6 decimal places. 0.000014 Let m(z) = -268*z**2 + 4*z + 8. Let i be m(5). Let u = -47728 + i. Round u to the nearest one thousand. -54000 Let s = 15.26 - 0.26. Let l = -0.0244 - -15.0164. Let x = l - s. What is x rounded to two dps? -0.01 Suppose k - 6 + 5 = 0. Let u be 0 + (-18400)/k*1000. Round u to the nearest 1000000. -18000000 Let b = -15.4 + -51.6. Let i = b - -66.99963. Round i to 5 dps. -0.00037 Let z be -4 + 16/4 - 0. Let l(v) = -v**2 - v + 114000. Let p be l(z). Suppose 190000 = 5*f - 5*g, -f - 2*f = -2*g - p. What is f rounded to the nearest 10000? 40000 Suppose -8*u = -0*u - 408. Let r be 500*-57*(-136)/u. What is r rounded to the nearest ten thousand? 80000 Let u be 2/(-10) - (-127104)/(-30). Let q = u - 14724. Let c = q + -10039. What is c rounded to the nearest ten thousand? -30000 Let l = -50.79 + 43.1. What is l rounded to 1 decimal place? -7.7 Let d = 0.327 + 44.873. What is d rounded to the nearest integer? 45 Let h = 0.35 - 11.35. Let l = h + 10.9999974. Round l to six decimal places. -0.000003 Let j = -75279.4 + 75289.40000025. Let l = j - 10. Round l to 7 decimal places. 0.0000003 Let z = -3.9 + 4.3. Let g = 0.40007 - z. What is g rounded to 5 dps? 0.00007 Let c = 112 + -500. Let r = -206 - c. Suppose r = 9*a - 7*a. Round a to the nearest ten. 90 Let z = 116.29 + -105.8. Let o = 10.4 - z. What is o rounded to the nearest integer? 0 Suppose -1465612 = -5*m + 2*z, 0*z = 3*m - 4*z - 879356. Suppose p = -97124 + m. Suppose 9*u - p = 11*u. What is u rounded to the nearest ten thousand? -100000 Let i = 188.43 - 202.5. Let y = i + 14. Let j = y + 0.06918. Round j to four decimal places. -0.0008 Let n = 40.22 + 0.78. Let w = n - 43.8. What is w rounded to one decimal place? -2.8 Let w = -203.0178 - -203. Let u = -0.0177783 - w. Round u to 6 dps. 0.000022 Let m = -41.089 - -41. Let n = -12.211 + m. What is n rounded to the nearest integer? -12 Let x(n) = -3850002*n + 12. Let c = -7 + -21. Let b = -22 - c. Let u be x(b). Round u to the nearest one million. -23000000 Let w(k) be the second derivative of -575*k**4/3 - k**3/6 + k**2/2 - 16*k. Let d be w(1). Round d to the nearest one thousand. -2000 Let i(l) = -1 - 11 + 4 - 466533*l - 283466*l. Suppose 5*a + 5*q - 9 = 6, 3*a - 2*q - 34 = 0. Let o be i(a). What is o rounded to the nearest 1000000? -6000000 Let x = -45.7139 - -0.0139. Let u = x + 42. Let k = 3.69999906 + u. What is k rounded to seven dps? -0.0000009 Let v be (-3)/(30/4)*-10. Suppose 0*k + v*k = 8. Suppose 5 = -m, -k*b - 5*m = 7 + 120. Round b to the nearest 10. -50 Let a be (4 - 1) + -2 + -1. Suppose a = w + w - 4. Suppose -3*i + w*i = 100000. What is i rounded to the nearest one million? 0 Let n be 1*(1 - -7) + 1. Let k(d) = d**2 - 9*d. Let r be k(n). Let s be (-2)/8*r + 13. What is s rounded to the nearest ten? 10 Let f(m) = m**3 - 14*m**2 - 9*m - 1. Let h be f(15). Let d = h + -124. What is d rounded to the nearest 10? -40 Let n = 55.15 - 1.15. Let j = n - 54.000209. What is j rounded to five decimal places? -0.00021 Let t = 30259 + -30199.954. Let k = t + -61.74596. Let b = k + 2.7. Round b to 4 decimal places. 0 Let g = 10 + -10.053. Let w = 0.0529967 + g. Round w to six decimal places. -0.000003 Let c = 8.51 + -8.3869. What is c rounded to 2 dps? 0.12 Suppose 0 = -d - 0*d. Suppose -w = -d*w + 24. What is w rounded to the nearest 10? -20 Let r = -0.217 - 620.583. Round r to the nearest 10. -620 Let q = 139 + -138.99138. What is q rounded to four dps? 0.0086 Let i(p) = -p**3 + p - 78983. Let b be i(0). Let n = b + 46883. Round n to the nearest ten thousand. -30000 Let o(t) = 204048*t - 280. Let p be o(-15). Round p to the nearest 100000. -3100000 Let a = 34 - 47. Let l = a - -30. Let p = l + -16.39. What is p rounded to 1 decimal place? 0.6 Let y = 263.746 - 264. Let t = 0.167 + y. Round t to 2 dps. -0.09 Let r be (-1075)/(-20) - 1/(-4). Let f(x) = -x**3 - 3*x**2 + x - 9. Let k be f(-4). Let y be (k/2)/(r/2880000). Round y to the nearest ten thousand. 80000 Suppose q - 7 = -2*g - 0, -9 = -3*q. Let a(m) = -68496*m - 8. Let w be a(g). What is w rounded to the nearest 100000? -100000 Suppose -3 = 5*k - 5*q + 12, -k + 2*q = 8. Let o(y) = -84*y**3 - y**2 - y - 2. Let z be o(k). What is z rounded to the nearest one hundred? -700 Let v = -218.28 - -222. Let k = -3.7506 + v. Round k to two decimal places. -0.03 Suppose 4*y - 13 = -5*n, -2*n = -3*y - 0*y + 4. Suppose -y*d = -5*b, -d = -4*b + 3*d - 12. Let i be b/5 + (-15144)/(-15). Round i to the nearest one hundred. 1000 Let y = 5610125.000074 - 5610132. Let l = 7 + y. Round l to five decimal places. 0.00007 Let v(z) = z**2 + 3*z - 6. Let n be v(-3). Let m be 30*((-390)/n + -2). What is m rounded to the nearest one thousand? 2000 Let r be 58/464 + (-3961602)/16. What is r rounded to the nearest 1000? -248000 Let m = 2.287792 + -2.3. What is m rounded to 3 dps? -0.012 Let b(a) = -54067*a**2 + 25*a + 17. Let p(w) = -135168*w**2 + 62*w + 42. Let j(y) = 12*b(y) - 5*p(y). Let c be j(-9). What is c rounded to the nearest 100000? 2200000 Let v be (7 - 1 - 6) + 51100. Round v to the nearest one thousand. 51000 Let c = -5427 - -11499. Let j = -5980.78 + c. Let r = -92 + j. Round r to one dp. -0.8 Let o = -64 - -5
{ "pile_set_name": "DM Mathematics" }
21 Let v(f) = -5*f + 3. Let a = 217 - 211. What is the remainder when v(-4) is divided by a? 5 Suppose -96 = -3*m - 21. Calculate the remainder when m is divided by 13. 12 What is the remainder when ((-6)/(-9))/(2/36) is divided by 3? 0 Let p be 45/(-6) + (-1)/(-2). Calculate the remainder when 822/14 + (-2)/p is divided by 20. 19 Suppose -2*v + 94 = -a - 2*a, -2*a = 5*v + 50. Let i = a + 63. Calculate the remainder when i is divided by 12. 9 Suppose -k = -2*k + 2. What is the remainder when 4 is divided by k? 0 Suppose -5*r = -5*y + 75, -28 - 20 = -2*y - 4*r. Calculate the remainder when 17/2*4*1 is divided by y. 16 Let v be 4/16 + (-223)/(-4). Let x = 88 - v. Calculate the remainder when x is divided by 17. 15 Suppose -2*j + 2*q = -53 - 23, 4*j - 173 = -3*q. What is the remainder when 160 is divided by j? 37 Let h(g) = 16*g - 84. What is the remainder when h(8) is divided by 12? 8 Let l(x) = 4*x**3 + 3*x**2 - 8*x - 3. Let r be l(-5). Let p be r/14 - 4/14. Let j = p - -51. Calculate the remainder when j is divided by 12. 11 Let l = -3 - -5. Suppose -g = -l*g. Suppose 2*d + 8 = g, -5*m - 4*d = -0*d - 59. What is the remainder when 28 is divided by m? 13 Let d(i) = -i**2 - 3*i + 1. Let y be d(-3). Let p be (-3)/(2/(-2)*y). Suppose 9 = 3*g + p. What is the remainder when 4 is divided by g? 0 Let c(z) = -z + 10. What is the remainder when 86 is divided by c(-5)? 11 Let g = 2 + 1. Suppose 3*s - g = 3*r, s - 2*r + 3*r = -1. Suppose 0 = k - s*k - 31. What is the remainder when k is divided by 11? 9 Suppose 0 = -3*c + 5*i + 47, 3*c - 44 = 2*i - 0*i. Calculate the remainder when 26 is divided by c. 12 Suppose 0 = 3*k, 4*k + 64 = 4*n + k. Suppose 4*b - 56 = -n. What is the remainder when b is divided by 6? 4 Let a = -21 + 39. Calculate the remainder when 53 is divided by a. 17 Let a(c) = -c**3 + 3*c**2 + 6*c - 2. Let j be a(4). Suppose 4*k - k - j = 0. What is the remainder when (4/9)/((-4)/(-18)) is divided by k? 0 Suppose -5*t + 33 = 2*z, -z + 39 = -2*t - 0*t. What is the remainder when 115 is divided by z? 28 Let n be (-222)/(-9) - 1/(-3). Suppose n = -l + 2*l. Calculate the remainder when 49 is divided by l. 24 Let k be 4*2/4 + 7. Suppose -3*h + 27 = -k. Suppose -9*r + 4*u + 78 = -6*r, -31 = -r + 3*u. What is the remainder when r is divided by h? 10 Let o(d) = -2*d + 2. Let r be o(7). Suppose 2*w = 7*w - 140. What is the remainder when w is divided by (-25)/(-2)*r/(-15)? 8 Suppose -2*t - 5*t = -105. Calculate the remainder when t is divided by -6*(0 + 4/(-3)). 7 Suppose 0 = 4*b + u - 29, u = -b - 4*u + 12. Let n = -5 + b. Calculate the remainder when 6 is divided by n. 0 Let z(u) = 3*u**2 - 4*u - 4. Let d be z(8). Suppose 2*s - d = -2*s. What is the remainder when s is divided by 20? 19 Suppose -2*w = 15*w - 1105. Let p(v) = -v**3 - v**2 + v + 2. What is the remainder when w is divided by p(-3)? 14 Suppose m + 20 = u - m, -u + m + 15 = 0. What is the remainder when 28 is divided by u? 8 Let p = 2 + -1. Suppose 0 = -4*m - 12, 5*q + 21 = -3*m + 77. Calculate the remainder when q is divided by (p + -1*6)/(-1). 3 Let a = -16 + 23. Suppose 6 = q - s, 5*q - 2*s + 4*s - 23 = 0. Suppose 3*b - a = q. Calculate the remainder when b is divided by 2. 0 Let n(v) = -v**3 - 4*v**2 - 4*v + 3. What is the remainder when n(-4) is divided by 10? 9 What is the remainder when 8 is divided by (-27)/(-6) - 4/(-8)? 3 Suppose 2*b = -3*g + 16, b - 4*g + 0 + 3 = 0. Let v = b - -6. Calculate the remainder when 21 is divided by v. 10 Suppose -x + 7 = -s + 2*x, -2*x = -3*s - 7. What is the remainder when 10/14 - (-2)/7 is divided by 0 + (-1 - -3) + s? 0 Let z(p) = -p**2 + 17*p + 13. What is the remainder when 24 is divided by z(17)? 11 Suppose 5*f = 2*i - 17, 2*f - 31 = -5*i + 3*f. Suppose 0 = 3*y + 43 - 121. Suppose 4*v + i - y = 0. What is the remainder when v is divided by 2? 1 Suppose 30 + 35 = 5*l. Let g be (-9)/(-3) - (2 - 4). Suppose g*y - 20 = -o, -5*o - 5*y - 3 = -43. Calculate the remainder when l is divided by o. 3 Suppose -5*j + 4*j + 40 = 0. Calculate the remainder when 79 is divided by j. 39 Suppose 2*h + 7*h - 315 = 0. What is the remainder when 132 is divided by h? 27 Let v = 50 - 16. Suppose w - 22 = -2*y - 0*y, 5*w + y - 65 = 0. Calculate the remainder when v is divided by w. 10 Let s = 620 - 601. Calculate the remainder when -5*(-11 + 0/(-2)) is divided by s. 17 Let z = -4 + 59. What is the remainder when z is divided by 2/(2 - (-36)/(-19))? 17 Calculate the remainder when -2*(-1)/((-6)/(-39)) is divided by 5. 3 Suppose 3*s - 49 - 2 = 0. Suppose -5*a - 2*k = -s, -k + 10 + 0 = 3*a. Suppose a*n - 44 = n. Calculate the remainder when n is divided by 12. 10 Let r = 4 + 1. Let i = r + 4. What is the remainder when 25 is divided by i? 7 Let i(c) = -c**2 - 12*c - 12. What is the remainder when (6/(-4))/((-9)/264) is divided by i(-9)? 14 Let s(i) = i**2 - 3*i + 2. Suppose 5*t + 4*w = 31, -2*t + 7 = 2*w - 7. Calculate the remainder when 5 is divided by s(t). 1 Let p = -7 + 39. Let x(n) = -5*n. Let o(f) = -4*f + 1. Let c(z) = 6*o(z) - 5*x(z). What is the remainder when p is divided by c(11)? 15 What is the remainder when (20/8)/5*0 - -74 is divided by 15? 14 Let x = 1 + -1. Suppose 205 = -x*t + 5*t. Calculate the remainder when t is divided by 1 + 2 + (7 - -4). 13 Let w(n) = n + 3. Let r be w(0). Let x = 35 + -32. Suppose r*s + 4*l = 135, x*s - s - l - 101 = 0. What is the remainder when s is divided by 17? 15 Let o(x) = -x**3 - x + 10. Suppose -3*g = -0*g. Calculate the remainder when (2 + -1)/((-2)/(-38)) is divided by o(g). 9 Suppose n = -0*n + 11. What is the remainder when 18 is divided by n? 7 Suppose 0 = 3*q - 288 + 57. What is the remainder when q is divided by 13? 12 Let r = -24 - -59. Calculate the remainder when r is divided by 6. 5 Let k be 12/(-3)*51/12. Let y = 70 + k. Calculate the remainder when y is divided by 492/27 - (-2)/(-9). 17 Calculate the remainder when 5 - 2 - (-3*94)/2 is divided by 37. 33 Let a(x) = -11*x**2 - 6*x + 6. Let p(l) = -7*l**2 + 5*l + 11*l**2 - 5 + 6*l**2. Let y(m) = 5*a(m) + 6*p(m). What is the remainder when 13 is divided by y(1)? 3 Suppose -2*j - 27 + 95 = 0. What is the remainder when j is divided by 9? 7 Let y(i) = -2*i - 6. Let f be y(-4). Suppose q - 11 = f*m - 3*m, -q + 1 = 0. Suppose 4*w - m = 3*w. Calculate the remainder when w is divided by 4. 2 Let l be 0 - 2/(-2) - 5. Let h be l/6 - 32/(-3). Calculate the remainder when (-477)/(-15) - (-2)/h is divided by 17. 15 Let h = 59 + -28. What is the remainder when h is divided by ((-12)/(-9))/((-2)/(-12))? 7 Let w = 7 - -29. Suppose 5*h + 0*b = 5*b + 205, -h = 4*b - w. Suppose 5*a + 5*v - h = 0, -a + 3*v = 8*v - 4. What is the remainder when a is divided by 5? 4 Let g = -8 + 11. Let s(r) = -r**3 + 7*r**2 - 3*r + 2. What is the remainder when s(g) is divided by 10? 9 Suppose -5 = -m + 16. Calculate the remainder when -10*-3*(-4)/(-3) is divided by m. 19 Let y = 29 - 12. Let q(j) = 51*j. Let w(k) = -10*k. Let z(v) = -2*q(v) - 11*w(v). What is the remainder when z(4) is divided by y? 15 Suppose -3*m - 3*v = 2*v - 116, -m - v + 38 = 0. Let u = 41 - 18. Suppose -u = -3*r + 16. Calculate the remainder when m is divided by r. 11 Let u(h) = h**3 - 4*h**2 - 4*h + 1. Let r be u(5). What is the remainder when 14 is divided by (-85)/(-20) + r/8? 4 Let i(s) = -s**2 - 5*s + 1. Suppose -31 = -5*o + 4. Suppose -6*a - 13 = -o*a. Calculate the remainder when a is divided by i(-4). 3 Calculate the remainder when 244 is divided by ((-10)/(-8))/(-2*(-1)/56). 34 Suppose -133 = -3*z - 5*v, -2*z = -v + 4*v - 87. Suppose 3*p - z = 9. Calculate the remainder when 42 is divided by p. 12 Suppose 2*i + 45 - 73 = 0. Calculate the remainder when 53 is divided by i. 11 Let y = 28 + -6. Calculate the remainder when 6/33 + 1382/22 is divided by y. 19 Suppose 33 = 4*b - 55. What is the remainder when 85 is divided by b? 19 Let l be 203/21 + 2/6. Let k = l + -6. Calculate the remainder when k is divided by 3. 1 Suppose -4*h + 146 + 90 = 0. Calculate the remainder when h is divided by 20 + 2 + 2 - 4. 19 Let d = 8 - 4. Suppose 0*p - 4*g = p - 7, 5*p + d*g = 3. What is the remainder when 39 is divided by ((-3)/p)/9*42? 11 Let l = 13 - 0. Suppose -31 - 80 = -3*t. Calculate the remainder when t is divided by l.
{ "pile_set_name": "DM Mathematics" }
= 13*g**2. Let y be 1 - (-15)/(-9) - 22/(-6). Let a(j) = 5*j - 3*j - y*j - j. Calculate a(w(z)). -26*z**2 Let i(y) = -26864*y. Let n(l) = -10*l. Calculate n(i(x)). 268640*x Let b(g) = -2*g. Let i(q) = 291*q - 20. Let f(v) = -33319*v + 2288. Let y(d) = 5*f(d) + 572*i(d). Give b(y(a)). 286*a Let b(a) = 3*a. Let s(z) = -117*z + 227*z - 109*z + 0*z**2 + 12*z**2. Calculate s(b(j)). 108*j**2 + 3*j Let s(k) = k**2 - k + 1. Let a(l) = -8*l**2 + 4*l - 4. Let b(v) = -a(v) - 4*s(v). Let m = 3 - 1. Let y(i) = -m*i + 3*i - 3*i. Calculate y(b(f)). -8*f**2 Let l be (-2)/((28/72)/(-7)). Let t(b) = l + 2*b - 36. Let c(u) = -7*u. Let v(z) = -15*z. Let o(g) = 13*c(g) - 6*v(g). Calculate t(o(i)). -2*i Let k(m) = 0*m**2 - 4*m**2 - 9*m**2. Let g(h) be the first derivative of h**6/360 + h**3/3 - 1. Let f(i) be the third derivative of g(i). Determine k(f(s)). -13*s**4 Let s(n) = -2*n. Let f(w) = 0*w + 4*w - 21*w - 14*w. Determine f(s(l)). 62*l Let v(d) = 2*d + 318. Let b(a) = -30*a. Calculate b(v(u)). -60*u - 9540 Let o(f) = -f + 4. Let s(y) = -y - 2. Let i(r) = -o(r) + 2*s(r). Let k(u) = 3*u. What is k(i(v))? -3*v - 24 Let l(w) = 3*w. Let n(c) be the first derivative of -4/3*c**3 + 7*c + 0*c**2 + 9. Let t(x) be the first derivative of n(x). Give t(l(d)). -24*d Let h(s) = s**2 - 7*s**2 - 2*s**2 + 7*s**2. Let i(k) = 10*k + 150. Let z(t) = 5. Let f(m) = i(m) - 30*z(m). Give h(f(c)). -100*c**2 Let q(o) = 717*o**2 + 5*o. Let g(w) = 11*w**2. Give q(g(b)). 86757*b**4 + 55*b**2 Let w(x) = 199*x. Let f(p) = -90*p - 3. Determine f(w(q)). -17910*q - 3 Let l be (-82)/(-6) + -1*(-16)/(-24). Let b(d) = 8*d + 20*d + l*d. Let m(t) = -2*t. What is m(b(z))? -82*z Let o be 2/10 - (-388)/10. Suppose w + 0*w = 2. Let t(i) = -o*i**2 - 40*i**2 + 63*i**w. Let y(v) = -v**2. Calculate y(t(u)). -256*u**4 Let f(z) be the first derivative of -664*z**3/3 + 27. Let u(d) = -2*d. What is f(u(j))? -2656*j**2 Let n(p) = 25986 - 25986 - 15*p**2. Let r(i) = -13*i**2. Give n(r(f)). -2535*f**4 Let n(j) be the third derivative of j**4/12 - j**2 + 55*j. Let q(u) = -40*u. What is q(n(y))? -80*y Let g(c) = -2*c. Let o(p) = -1159*p**2 - 61*p - 61. Let l(f) = -116*f**2 - 6*f - 6. Let h(x) = -61*l(x) + 6*o(x). Give g(h(b)). -244*b**2 Let w(q) = -7*q - 21. Let x(z) = -14*z. Give x(w(d)). 98*d + 294 Let y(f) = -f + 89. Let h(g) = -43*g. Determine h(y(z)). 43*z - 3827 Let m(r) = -18*r**2 - 51*r**2 + 176 - 176. Let n(x) = -5*x. Determine m(n(f)). -1725*f**2 Let g(m) = 1759*m. Let h(p) = 7*p**2. What is g(h(l))? 12313*l**2 Let u(y) = y. Let v be (-4)/((-14)/6 + (-2)/(-6)). Let h(z) = 5*z**2 + 2*z**2 - 10*z**v. What is u(h(g))? -3*g**2 Let f(k) = -7*k - 6. Let p(c) = -8*c - 7. Let o(b) = -7*f(b) + 6*p(b). Suppose -2*t - 2*t = -8. Let r(i) = -2*i + i + t*i. Give o(r(a)). a Let o(b) = -b**2. Let j(p) be the third derivative of 11*p**2 + 0*p + 0 + 0*p**3 - 19/24*p**4. Determine j(o(q)). 19*q**2 Let d(v) = -13*v - 3*v - 7*v. Let r(t) = 32*t - 6. Let q(y) = -22*y + 4. Let u(b) = -3*q(b) - 2*r(b). What is d(u(z))? -46*z Let l(h) = 16*h**2. Let r(g) = -50131*g. Determine l(r(f)). 40209874576*f**2 Let q(x) = 33*x. Let z(i) = 16*i**2 - 8. Let v(y) = y**2 - 1. Let h(r) = 8*v(r) - z(r). Give h(q(p)). -8712*p**2 Let n(c) = 12*c**2. Let b(t) be the first derivative of -3*t**3 - 20. Calculate n(b(x)). 972*x**4 Let x(l) = 2*l + 1. Let t(k) = 5 + 3*k + k + 9*k. Let s(c) = -t(c) + 5*x(c). Let q(p) = 31*p**2. Determine q(s(f)). 279*f**2 Let v(p) be the second derivative of -7*p**4/12 + p. Let n(t) be the first derivative of -2*t**3/3 + 38. Give n(v(l)). -98*l**4 Let t(k) = -29399*k**2. Let w(u) = -3*u. Determine w(t(q)). 88197*q**2 Let d(t) = t - 38952. Let k(h) = -6*h. What is d(k(o))? -6*o - 38952 Let j(v) = 102601*v**2. Let y(g) = -2*g. What is j(y(d))? 410404*d**2 Let t(z) = 674*z**2 + 2*z + 1. Let n(l) = 71*l + 2. Give t(n(a)). 3397634*a**2 + 191558*a + 2701 Let n(s) = 3. Let d(b) = -b + 3. Let w(h) = 3*d(h) - 3*n(h). Let z(f) = 142*f. What is w(z(u))? -426*u Let z(s) = -5 + 4*s**2 + 5. Let k(g) = -12*g**2 + 9*g. Let m(q) = -205*q**2 + 150*q. Let f(l) = -50*k(l) + 3*m(l). Calculate z(f(a)). 900*a**4 Let u(k) = -211*k - 201*k + 417*k. Let b(v) = v**2 + 21*v. What is u(b(h))? 5*h**2 + 105*h Let v(l) = -37*l - 8 - 12 - 8 - 10 + 40. Let u(i) = -3*i. Determine v(u(w)). 111*w + 2 Let w be (-276)/48 - (-1)/(-4). Let o be (3/2)/(w/(-8)). Let z(l) = 3*l - 6*l + o*l. Let v(a) = 2*a**2. Calculate v(z(n)). 2*n**2 Let x(l) = l**2. Suppose -115 - 250 = -5*w. Let u = 235 + -162. Let d(g) = 2*g + u - w. Give x(d(v)). 4*v**2 Let d(y) be the third derivative of 0*y**4 + 0*y + 1/30*y**5 + 0*y**3 + 0 - 28*y**2. Let a(i) = 15*i**2. Determine a(d(k)). 60*k**4 Let q(c) = -5*c. Let f(i) = -75*i + 54. Let l(r) = 11*r - 8. Let h(g) = -4*f(g) - 27*l(g). Determine q(h(y)). -15*y Let r(k) = k**2. Let w(q) = -4*q**2 + 2282*q. Give w(r(d)). -4*d**4 + 2282*d**2 Let w(b) be the first derivative of -29*b**3/3 + 117. Let k(o) = -8*o. Determine w(k(f)). -1856*f**2 Let f(d) = -2*d. Let n(z) be the second derivative of 0 + 0*z**2 + 2/3*z**3 - 19*z. Calculate n(f(t)). -8*t Let v(u) = -12*u**2 - 1239*u. Let i(h) = -6*h**2. Calculate v(i(a)). -432*a**4 + 7434*a**2 Let o(q) = -q. Let c(z) = -18*z + 24*z - 14*z. Let k(n) = -c(n) + 6*o(n). Let w(i) = 15*i**2. What is k(w(y))? 30*y**2 Let f(o) = -2*o**2. Let w(z) = 27*z**2 + 24. Let b(p) = -12*p**2 - 5*p**2 + 18*p**2 + 1. Let c(u) = 120*b(u) - 5*w(u). Calculate c(f(a)). -60*a**4 Let y(t) be the second derivative of t**3/6 + 20*t. Let v(n) = -5*n. Let l(a) = a. Let g(w) = 11*l(w) + 2*v(w). Calculate g(y(d)). d Let d(c) = 86*c - 102*c - 190*c - 215*c - 127*c. Let s(t) = -2*t. Determine d(s(x)). 1096*x Let o(w) = 7*w**2. Let q = 90 - 80. Let d(c) = 3*c - 9 - q + 19. Give o(d(n)). 63*n**2 Let j(w) = -w + 6. Let p(m) = -m + 9. Let z(o) = -3*j(o) + 2*p(o). Let v(u) be the third derivative of -u**5/6 + u**2. Give v(z(y)). -10*y**2 Let u(t) = 325*t**2. Let b(h) = 269 - 133 - 136 + 2*h. What is b(u(j))? 650*j**2 Let f(w) = 2*w. Let k(q) be the third derivative of 11*q**2 + 0*q + 14/3*q**3 - 1/24*q**4 + 0. Calculate f(k(a)). -2*a + 56 Let r(f) = 2*f. Let w(z) be the third derivative of -z**6/30 - 2*z**3/3 + 7*z**2. Let j(l) be the first derivative of w(l). Give j(r(m)). -48*m**2 Let b(c) = 3*c**2. Let u = -107 - -107. Let f(t) be the third derivative of 1/6*t**4 + 2*t**2 + 0 + u*t + 0*t**3. Determine f(b(g)). 12*g**2 Let v(a) = -2*a**2. Suppose 6*w - 9*w + 63 = 0. Suppose 3*f - 15 = -3*h, 4 = 4*f + 3*h - w. Let t(n) = -n + f*n - n - 6*n. What is t(v(p))? -4*p**2 Let a(d) = 128*d**2 - d. Let k(g) = 17*g + 12. Let w(u) = -20*u - 14. Let p(r) = -7*k(r) - 6*w(r). Give a(p(t)). 128*t**2 - t Let k(n) be the first derivative of 1 + 0*n + 1/2*n**2. Let l(x) = -3198 - 3199 + 6397 + 3*x + 3*x. Give l(k(t)). 6*t Let p(c) = 12*c + 1219. Let y(q) = -q**2. Determine p(y(x)). -12*x**2 + 1219 Let s(z) = z**2. Let x(t) be the second derivative of -t**3/6 + 2*t - 1. What is s(x(n))? n**2 Let w(l) = -l**2. Let u(y) be the first derivative of 1 + 5/2*y**2 - 4/3*y**3 + 0*y. Let z(i) = 5*i**2 - 6*i. Let m(a) = 6*u(a) + 5*z(a). Calculate m(w(v)). v**4 Let d(t) = t**2. Suppose 3*k - 7 - 8 = 0. Suppose -3*w = -k - 1. Let p(j) = 4*j + 6*j + 5*j - w*j. Calculate d(p(o)). 169*o**2 Let m(y) be the first derivative of y**2/2 - 721. Let h(u) = -2*u - 10*u + 3*u - 8*u. Give h(m(t)). -17*t Suppose -6 + 52 = 23*u. Let t(i) be the first derivative of 0*i**2 + u - 1/3*i**3 + 0*i. Let h(p) = 2*p**2. Give h(t(g)). 2*g**4 Let s(k) be the first derivative of 0*k**2 + 0*k - 1/3*k**3 + 5. Let p(v) = 2*v. Determine s(p(z)). -4*z**2 Let y(d) = 2*d**2. Let g(m) be the second derivative of -m**7/120 - m**4/4 + 17*m. Let n(x) be the third derivative of g(x). Determine y(n(h)). 882*h**4 Let a(p) = -p**2. Let b(d) = -7*d. Let w(j) = j - 1. Let q(z) = -4*z - 2. Let u(i) = q(i) - 2*w(i). Let k(o) = 5*b(o) - 6*u(o). Determine k(a(s)). -s**2 Let p(b) = b**2 + 10902*b. Let j(c) = -13*c**2. What is p(j(y))? 169*y**4 - 141726*y**2 Let s(g) be the second derivative of -g**4/6 + 9*g**2 - 8*g. Let m(j) be the first derivative of s(j). Let f(p) = p**2 + 2*p**2 + p**2. What is m(f(c))? -16*c**2 Let t(n) be the third derivative of n**5/20 + n**4/3 + 311*n**2. Let z(r) = -r. Determine t(z(f
{ "pile_set_name": "DM Mathematics" }
4*h. Is 21 a factor of h? False Let w(t) = -25*t + 1. Let b be w(1). Let a = 12 - 8. Let l = a - b. Is 14 a factor of l? True Is 72/10*(-45)/(-2) a multiple of 18? True Let y(g) = 20*g - 1. Let n be y(2). Let p = n - 19. Is p a multiple of 5? True Suppose 234 = 7*k - 382. Suppose -3*z + 4*z - k = 0. Is z a multiple of 18? False Suppose -35 = 2*x - 7. Let p = -9 - x. Suppose -2*f + 5 = i - p, -4*f - 5*i + 26 = 0. Is f a multiple of 4? True Suppose -5*d + 2*t = -210, 0*t = -2*d + t + 83. Let c = d - -35. Does 22 divide c? False Let z = 32 - 32. Is 17 a factor of (z + 30)/((-15)/(-20))? False Suppose u + 36 = -2*u. Let x = 10 + u. Is ((-4)/(-3))/(x/(-126)) a multiple of 28? True Is (2*-75)/(5/20*-2) a multiple of 10? True Is 3 a factor of (43 - 10)*57/9? False Suppose 4*k - 5*f - 81 - 35 = 0, -2*k - f + 44 = 0. Does 5 divide k? False Let c(y) = -y - 21. Let f be c(4). Is 15 a factor of ((-90)/f)/(4/50)? True Let t = 5 - -4. Suppose -3*w - 5*x - t = 0, 6 = -5*w + x + 19. Suppose -3*d + w*y + 2*y = -109, 4*y = 2*d - 70. Does 9 divide d? False Let p = -1843 - -2863. Is 20 a factor of p? True Let s = 6 + -9. Let m be (-2)/s - (-13)/3. Suppose 0 = m*t + 33 - 193. Is 16 a factor of t? True Suppose 0 = 5*s - 20, -2*q + 2*s + 0*s + 236 = 0. Does 12 divide q? False Let j(v) = v**3 - 9*v**2 - v + 12. Let o be j(9). Suppose o*s + b - 420 = -3*b, s + 5*b = 140. Is s a multiple of 20? True Suppose 2*x = -4, -5*s + 2*x + 13 = -11. Suppose 3*k = s*m - 195, -13 = m - 3*k - 55. Is m a multiple of 10? False Is 1*(-1)/(-2) + 9952/64 a multiple of 39? True Suppose 2*j + 91 = 9*j. Suppose -j*z + 15*z = 108. Does 18 divide z? True Let o(t) = 4*t + 64. Does 24 divide o(-4)? True Let b(o) = o**2 + o. Let x(n) = 4*n**2 - 6*n + 12. Let z(g) = 5*b(g) + x(g). Is 22 a factor of z(-5)? True Let b = -48 - -52. Suppose -3*m + 26 = -t + 3*t, -b*m = -t + 2. Does 9 divide t? False Let v be 38/133 - (-1 + 65/7). Let o(q) = -16*q + 33. Is 23 a factor of o(v)? True Let q = 15 - 23. Let y be -4 + 33*q/(-12). Suppose 3*x - 210 + y = 0. Is x a multiple of 14? False Let x(n) be the second derivative of n**6/360 + 17*n**4/12 - n**3/6 - 5*n. Let z(k) be the second derivative of x(k). Is z(0) a multiple of 11? False Is 6 a factor of (3 - 0 - 2)*(180 + -3)? False Let b(o) = -o + 14. Let c be b(12). Is 6 a factor of ((-3)/(-4))/(-4*c/(-128))? True Suppose -2118 = -31*j + 4020. Does 18 divide j? True Suppose -14*f = 3*n - 9*f - 9600, 3*n = -4*f + 9600. Is 20 a factor of n? True Suppose -3*b = 5*m + b + 35, 4*m + 17 = -b. Does 8 divide (9/m - -5)*12? True Let i = 886 + -501. Does 35 divide i? True Let d(s) = s**3 - 8*s**2 + 32*s - 28. Is d(12) a multiple of 65? False Suppose c = 4*d + 3966, -3*d = 32*c - 35*c + 11871. Is c a multiple of 90? False Let d(b) = -b**2 - 18*b + 12. Let v be d(-14). Suppose s - v = -4*x, -35 = -s - 5*x + 36. Is s a multiple of 14? True Let f = 7 + -21. Does 6 divide (-656)/f - 1 - (-9)/63? False Suppose -2*h - 30*v + 1056 = -31*v, -h + 528 = 2*v. Does 24 divide h? True Suppose 4*k - 1348 = 4*b, 0*k + b = 4*k - 1342. Is k a multiple of 5? True Does 13 divide (-23206)/(-22) - 2 - 108/(-594)? True Let z = 165 + 165. Is 11 a factor of z? True Suppose -15232 = -20*d + 6*d. Is 64 a factor of d? True Suppose -5*l - 3*i + 1434 = -4*l, i = -4*l + 5791. Does 32 divide l? False Does 97 divide (4 - 6)/(8/(-6596))? True Let s(o) = o + 8. Let j be s(-3). Suppose -v + 79 = -g, 0 = -j*v - 5*g + 148 + 197. Is 17 a factor of v? False Let q be (-4)/(8/(-145))*8/10. Let i = q + 12. Is i a multiple of 3? False Is 31 a factor of (-8)/36 + ((-20506)/(-18) - -8)? True Suppose -3*x - 21 = -3*m, -m - 13 = -2*m - 2*x. Suppose 5*i + 0*i - 293 = -2*d, 3*i + m = 0. Is 15 a factor of d? False Suppose 3*c = 3*n - 753, 2*n + n = -3*c + 723. Does 18 divide n? False Suppose 0*c + 1108 = 2*c + 2*i, c - 544 = i. Suppose 5*o - 4*u - c = 0, -5*o + 0*o + 5*u + 550 = 0. Is o a multiple of 17? False Let i = 23 - 12. Let s = 12 - i. Is 20 a factor of 100 + s + (-4 - 0)? False Suppose -3*s + 7 = 1. Suppose 0 = s*q + 2*u - 4*u - 16, 4*u + 37 = 5*q. Suppose -q = -b, 20 + 69 = 4*c + b. Is 15 a factor of c? False Let y be (-4)/((-16)/(-50))*6. Is 1 + 0 - y - -2 a multiple of 13? True Let n(t) = t**3 + 2*t**2 + 3. Let y be n(-2). Does 2 divide (-2 - -22)*y/6? True Let g = -330 - -1606. Does 29 divide g? True Suppose -13*k = -k - 3060. Let x = k - 36. Does 29 divide x? False Let b(p) = -4*p**2 - p. Let f be b(-2). Does 2 divide (-46)/f + (-28)/98? False Let d(g) = g**3 - 16*g**2 + 13*g + 22. Let t be d(15). Let z = t + 5. Let b = z + 27. Is b a multiple of 6? True Suppose -4 = 4*r + 3*o, 6 = -2*r - 2*o + 2. Suppose -3*t + r*t = 5*h - 285, 242 = 4*h - 2*t. Does 22 divide h? False Suppose 26*n = 31*n - 7095. Is n a multiple of 90? False Suppose 3*r = -h + 10, -2*r + r = -5*h + 82. Let q(a) = 4*a - 22. Let f be q(h). Let w = f + 20. Is w a multiple of 11? False Let f = -409 + 789. Does 38 divide f? True Let z be 1252/(-3)*-1 + 13/(-39). Let j = z - 207. Is j a multiple of 42? True Let y be 7/((-28)/(-96)) - 3. Is 8 a factor of (-123)/(-5) - y/35? True Let w be 4/10 + (-654)/10. Let d = -176 - -273. Let f = d + w. Is 29 a factor of f? False Let a(q) = -q**2 + 18*q - 67. Suppose 0 = 160*c - 158*c - 18. Is 2 a factor of a(c)? True Let l(y) = -11*y**2 + 9*y + 10. Let f(j) = 4*j**2 - 3*j - 3. Let x(a) = 8*f(a) + 3*l(a). Let r be x(3). Suppose r*w = 157 + 59. Is w a multiple of 12? True Let l(q) = -q**3 - 57*q**2 - 59*q - 84. Does 6 divide l(-56)? True Let f(c) = -c**3 + 6*c**2 + 5*c + 3. Let r be (-14)/(-4)*(-16)/(-14). Does 31 divide f(r)? False Is (-31608)/(-135) - (-3 + 188/60) a multiple of 39? True Suppose -5*s + 4*i + 550 = 0, -2*s - 4*i + 248 = -0*s. Let a(p) = -s + 6*p + 114 - 3*p. Is a(8) a multiple of 8? True Let m = 4734 - 2718. Does 21 divide m? True Let q(k) = -k**2 + 7*k + 11. Let j be q(-5). Let m = j - -67. Is m a multiple of 9? True Suppose -4*b + 84 + 146 = -t, 0 = -2*t + 4. Let z = b - -8. Does 11 divide z? True Let j(v) = -6*v**3 + 3*v + 2. Let o = -21 - -19. Does 35 divide j(o)? False Let u(a) = a**2 + 6*a. Let i be u(-6). Let o be -4*(-1)/3*36. Suppose i*k = -2*k + o. Is 24 a factor of k? True Let z(f) = f - 8. Let n be z(13). Let t = 24 + n. Let y = t - 13. Is y a multiple of 8? True Suppose 0 = 4*z + 2*k - 16, -z + 2*k + 15 = -3*k. Suppose -3*u = 5*d - 315, -3*d = -z - 4. Does 10 divide u? True Suppose u - 144 = -o + 153, 0 = -4*u - o + 1182. Is u a multiple of 5? True Suppose 4*j - 4*o + 64 = 0, -3*j - 2*j - 5*o - 130 = 0. Let x = j - -31. Is 2 a factor of x? True Let j be (23 - 20) + 8*16. Let b = -67 + j. Does 8 divide b? True Let d be (-3 - -3)*(-2)/4. Suppose -21*v + 24*v - 873 = d. Does 43 divide v? False Let f(t) = t**3 - 10*t**2 + 2*t - 6. Let d be f(10). Let g be 1474/d + 4/(-14). Suppose -4*c - 148 = -4*w, 0*c - 5*c = -3*w + g. Is w a multiple of 8? True Let a(i) = 4*i - 4. Let y be a(5). Let d be 1/(2*4/y). Suppose d*w + 3*s = 9, -39 = -2*w - 0*s + 3*s. Is 4 a factor of w? True Suppose 5*t + 4*q - 169 = q, 5*t - 5*q = 185. Does 12 divide t? False Suppose 0 = -10*h + 4*h - 552. Let r = 173 + h. Does 27 divide r? True Let h = 98 - 105. Let y = h - -31. Is 8 a factor of y? True Let y = -335 - -472. Is y a multiple of 8? False Let m be ((-88)/20)/((-1)/(-15)). Let v = 42 + m. Is ((-100)/(-6))/((-4)/v) a multiple of 20? True Let n = 619 - 487. Is n a multiple of 66? True Let d(l) = 0*l + 11 - 28*l**3 - 8*l + 24*l**2 - 6*l + 26*l**3. Is d(10) a multiple of 14? False Let j(s) = 4*s**2 - 9*s + 14. Let m be j(4). Suppose 7 = 5*l + m. Is -5*((l - 0) + 4) a multiple of 9? False Let i(x) = -15*x - 2. Let v be i(-2). Let q = 77 - v. Is 11 a factor of 155/7 - 7/q? True Is (-11 + 12)/((-1)/(-2)) - -531 a multiple of 13? True Suppose -2*l + 14 = -4*k, k - 4 = -l - 0. Suppose l*m - 8 = m. Suppose -5 = -z, 129 = 2*a + z + m*z. Is a a multiple of 19? True Let p(g) = 4*g**3 - g**2 + g + 4. Let j(r) = -3*r**3 - 2*r - 3. Let d(h) = 3*j(h) + 2*p(h). Let x be 17/(-34) + 10/(-4). Does 10 divide d(x)? True Let k = -17 - 13. Let g = 36 + k. Is g even? True Suppose -4*c = 3*l, 4*l = -5*c - 2 + 3. Let g = -21 - -29. Suppose s + 2*q + q - 18 = 0, l*q = -g. Does 4 divide s? True Suppose -5*r - 16 = -f, -f + 0*r = -r
{ "pile_set_name": "DM Mathematics" }
- 7. Give -7*n(q) + 4*z(q). -3*q Let l(j) = -j**2 + j - 1. Suppose -3*c - 5 + 8 = 0. Let f(q) = -q - 3. Determine c*l(h) - f(h). -h**2 + 2*h + 2 Let g(m) = m**2. Let x(z) be the third derivative of 2*z**5/15 + z**3/2 - 6*z**2. Determine -6*g(k) + x(k). 2*k**2 + 3 Let s(t) = -t**2 + t + 4. Let j(k) = -k. Give -4*j(b) - s(b). b**2 + 3*b - 4 Let s(h) = -h**2 + 2*h + 2. Let g = 37 - 36. Let z(n) = n + 1. Calculate g*s(c) - z(c). -c**2 + c + 1 Let t(o) = -3*o**3 - o**2 + 3. Let u(r) = 3*r**3 + 2*r**2 - 4. What is -4*t(w) - 3*u(w)? 3*w**3 - 2*w**2 Let k(o) = 6*o**2 - 1. Let z be k(1). Let m(a) = -3*a + 18. Let w(s) = 4*s + 1. Let x(n) = -5*n - 3. Let h(f) = -4*w(f) - 3*x(f). Calculate z*m(d) - 18*h(d). 3*d Let l(f) = 2*f**2 + 9*f + 5. Let g(n) be the first derivative of -2*n - 2*n**2 + 5 - 1/3*n**3. Determine -9*g(i) - 4*l(i). i**2 - 2 Let i(n) = n + 1. Let x(o) = 4*o + 6. Give -6*i(y) + x(y). -2*y Let y(u) = -u**2 + u. Suppose 2*c - 4*c - 10 = 0. Let a(l) be the third derivative of 0*l - l**2 + 5/24*l**4 + 0*l**3 + 0 - 1/15*l**5. What is c*y(w) + a(w)? w**2 Let j(v) = -5*v**2 - 5*v + 5. Let s(d) = -4*d**2 - 4*d + 4. Let u = -9 + 12. Let h(k) = k + 5. Let a be h(-7). What is a*j(x) + u*s(x)? -2*x**2 - 2*x + 2 Let x(p) be the third derivative of -p**6/60 - p**5/20 + p**3/3 - 2*p**2. Let v(w) = w**2 - 1. Let a = 5 + -6. Calculate a*x(f) - 3*v(f). 2*f**3 + 1 Let x(g) = -g**2 - g - 1. Let a(z) = -5*z**2 - z. Suppose 5*i + 6 = 1. Give i*a(y) + 3*x(y). 2*y**2 - 2*y - 3 Let m(u) = 2*u**3 + 14*u**2 + 2*u + 4. Let r(t) = 2*t**3 + 15*t**2 + 3*t + 5. What is 5*m(l) - 4*r(l)? 2*l**3 + 10*l**2 - 2*l Let y(l) = -l. Let c(k) = 5. Let f(g) = 4. Let j(v) = -5*c(v) + 6*f(v). Calculate -3*j(a) - y(a). a + 3 Let m(a) = 8*a**3 - 40*a**2 - 11*a + 11. Let k(s) = -3*s**3 + 13*s**2 + 4*s - 4. Give 11*k(t) + 4*m(t). -t**3 - 17*t**2 Let p(o) = o**2 - o + 1. Let r(y) = 2*y**2 + 5*y + 2. Calculate -p(n) + r(n). n**2 + 6*n + 1 Suppose -7*u + 21 = -0. Let g(y) = 4*y**3 - 3*y**2 + 6*y. Let a(h) = 7*h**3 - 5*h**2 + 11*h. Determine u*a(r) - 5*g(r). r**3 + 3*r Let b(r) = -22*r**2 + 7. Let z(a) = 15*a**2 - 5. Give -5*b(c) - 7*z(c). 5*c**2 Let r(l) = -6*l**2 - 5*l - 4. Let k(j) = j**2 + j + 1. Determine -4*k(a) - r(a). 2*a**2 + a Let y(j) be the third derivative of j**5/60 - j**4/4 - j**3 - j**2. Suppose -5*z - 28 = 2. Let n(f) = f + 1. What is z*n(c) - y(c)? -c**2 Let j(o) = -2*o + 46. Let a be j(22). Let y(k) be the second derivative of 0 + 3*k**2 + 5/6*k**3 - a*k. Let h(z) = 4*z + 5. Determine -6*h(p) + 5*y(p). p Let d(a) = a**2 - 4*a - 3. Let q(g) = -g**2 + 5*g - 4. Let k be q(0). Let w(y) = y**2 - y - 1. Determine k*w(r) + d(r). -3*r**2 + 1 Suppose 5*s + t - 8 = -0, 4 = -2*t. Let c(f) = 1 + 3 + 4*f**s - 1 - 3*f**2. Let g(h) = h**2 + 2. Calculate 4*c(y) - 5*g(y). -y**2 + 2 Let o(u) = 3*u + 5. Let c be (1 + -2)/((-4)/24). Let z(h) = -h - 1. Give c*z(r) + o(r). -3*r - 1 Let b(n) = -7*n**3 - 3*n**2 + 3*n - 3. Let z(f) = 15*f**3 + 6*f**2 - 7*f + 7. Determine 7*b(d) + 3*z(d). -4*d**3 - 3*d**2 Let o(z) = 18*z. Let r(i) = -45*i. Give 12*o(t) + 5*r(t). -9*t Let b(c) = -1. Let i(y) = 3*y + 4. Give 5*b(z) + i(z). 3*z - 1 Suppose -6 = 3*o - 6*o + 3*h, -12 = -3*o + 5*h. Let b(l) = 3*l**3 - 2*l**2 - 2*l - 2. Let m(r) = r**2 + r + 1. Give o*b(g) - 2*m(g). -3*g**3 Let i(r) be the second derivative of 3*r**5/10 - 5*r**2/2 + 7*r. Let j(a) = -2*a**3 + 2. What is -3*i(n) - 8*j(n)? -2*n**3 - 1 Let l(t) = 2*t**2 - t + 8. Let s(k) be the third derivative of k**5/30 - k**4/24 + 7*k**3/6 + 9*k**2. Give 5*l(u) - 6*s(u). -2*u**2 + u - 2 Let z(w) = -4*w - 1. Let g be z(-1). Let p(c) = 4*c - 1 - g*c - 2*c. Let t(m) = -m**2 - 3*m - 3. Let q be (-2)/(-12) + (-33)/(-18). Give q*p(n) - t(n). n**2 + n + 1 Let d(n) = 3*n. Let g(f) = f - 37 + 37. Determine -4*d(a) + 11*g(a). -a Let y(m) be the second derivative of m**5/5 + 7*m**4/12 + 7*m**2/2 - 14*m. Let o(x) = -2*x**3 - 3*x**2 - 3. What is -14*o(d) - 6*y(d)? 4*d**3 Let b(g) = -16*g**3 + 11*g**2 + 6*g - 11. Let a(p) = -3*p**3 + 2*p**2 + p - 2. Suppose 3*q = 4*q + 20. Let u = q + 9. Give u*a(x) + 2*b(x). x**3 + x Let l = -11 - -10. Let a(i) = i. Let b(u) = -1. Determine l*b(f) + a(f). f + 1 Let o(r) be the first derivative of r**2/2 + 3*r - 2. Let t(i) = -i + 10. Let p be t(7). Suppose 4*y - 3*y = -p. Let u(c) = c + 4. What is y*o(f) + 2*u(f)? -f - 1 Let o(c) be the second derivative of -c**4/4 - 5*c**3/6 + 5*c**2/2 + 2*c. Let j(g) = -8*g**2 - 14*g + 14. Let q be 5/((2 - 1)*1). Give q*j(i) - 14*o(i). 2*i**2 Let a(c) = -7*c**2 - 2*c - 2. Let j(n) = -120*n**2 - 35*n - 35. Determine 35*a(u) - 2*j(u). -5*u**2 Let g(m) = -3*m. Let p(t) = -t - 9. Let j be p(-5). Let f(c) = -16*c. Calculate j*f(n) + 22*g(n). -2*n Let b = -15 + 4. Let w(q) = -10*q**3 - 11*q**2 + 26*q. Let p(a) = -2*a**3 - 2*a**2 + 5*a. Give b*p(m) + 2*w(m). 2*m**3 - 3*m Let x(j) = 7*j - 9. Let o(f) = f. Determine 6*o(v) - x(v). -v + 9 Let f(m) = 2*m - 3 + 6 - 8*m + 3 - 13*m**2. Let t(u) = 4*u**2 + 2*u - 2. Give -2*f(q) - 7*t(q). -2*q**2 - 2*q + 2 Let b(v) = -2*v - 5. Let l(p) = -9*p - 10. Let c(g) be the first derivative of 13*g**2 + 31*g - 1. Let q(m) = 4*c(m) + 11*l(m). Determine -11*b(t) - 4*q(t). 2*t - 1 Let l(q) = -9*q**2 - 3*q + 4. Let p(j) = -1. Let g(f) = 5*f**2 + 2*f + 1. Let u(d) = -g(d) - 3*p(d). Let c = -3 + 7. Give c*l(x) - 7*u(x). -x**2 + 2*x + 2 Let p(f) = 2*f**3 - 6*f**2 + 5*f + 4. Let u(k) be the first derivative of k**4 - 11*k**3/3 + 9*k**2/2 + 7*k + 6. Calculate 11*p(s) - 6*u(s). -2*s**3 + s + 2 Let b(q) = q - 1. Suppose o + o = -4. Let z(f) = 4*f + 7. Let t be z(-3). Let u(a) = -3*a + 2. What is o*u(k) + t*b(k)? k + 1 Let p = -92 - -93. Let l(i) = i**2 - i + 1. Let n(q) = 3*q**3 - 5*q**2 + 3*q - 4. Calculate p*n(f) + 4*l(f). 3*f**3 - f**2 - f Let u(x) = -9*x - 2. Let q(l) = -46*l - 11. Calculate -2*q(f) + 11*u(f). -7*f Let h(t) = -5*t**3 - t**2 + 4. Let p(k) be the second derivative of 11*k**5/20 + k**4/6 - 9*k**2/2 - 8*k. Calculate -9*h(j) - 4*p(j). j**3 + j**2 Let h(d) = 3*d + 9. Let u be (-8*(-4)/(-4))/(-2). Let a(v) = -2*v - 5. Calculate u*h(q) + 7*a(q). -2*q + 1 Let z(a) = -2*a**2 + 23 - a**2 - 27. Let p(t) = -1. What is 4*p(v) - z(v)? 3*v**2 Let z(j) = 6*j**3 + 5*j**2 + 5*j - 5. Suppose -5*k + 9 + 16 = 0. Let v(p) = 3*p**3 + 2*p**2 + 2*p - 2. What is k*v(h) - 2*z(h)? 3*h**3 Let y(l) = -4*l - 2. Let z(n) = 4*n + 1. Let b(q) = -6*y(q) - 7*z(q). Let d(u) = 7*u - 9. Let o = 16 - 13. Suppose -m + 10 = m. What is m*b(a) + o*d(a)? a - 2 Let u(n) = -2*n - 2. Let h be u(-2). Let f(b) = -b - 1. Let t(s) = -5. Let d(w) = -11. Let l(x) = 3*d(x) - 7*t(x). What is h*f(z) + l(z)? -2*z Let x(a) = 2*a**2 + 8. Let l(w) = -2*w**2 - 7. Let k = 17 + -10. Suppose 0 = -3*f + k + 8. Determine f*x(g) + 6*l(g). -2*g**2 - 2 Let p(l) = 2*l**2 + 6*l - 4. Let i be 2/((1 - 3) + 3). Let o(q) be the second derivative of 0 + q - 7/6*q**3 - 1/6*q**4 + 5/2*q**i. Calculate -4*o(u) - 5*p(u). -2*u**2 - 2*u Let d(l) = 2 - l - 2*l + 7*l + 5*l**2. Suppose -5*p + 2*p - 12 = 0. Let x = p + 7. Let n(v) = 9*v**2 + 7*v + 3. Calculate x*n(a) - 5*d(a). 2*a**2 + a - 1 Let o(s) = s**2 + s + 1. Let t(r) = -4*r**3 + 2*r**2 + r + 1. What is o(j) - t(j)? 4*j**3 - j**2 Let s(l) = 2*l**2 - 6*l + 10. Let m(a) = -2*a**2 + 5*a - 9. Calculate 4*m(n) + 3*s(n). -2*n**2 + 2*n - 6 Let t(o) = o**3 - 5*o**2 + 11*o - 1. Let s(k) be the first derivative of 4 - k**2 + 1/3*k**3 + 0*k. What is -11*s(y) - 2*t(y)? -2*y**3 - y**2 + 2 Let p be ((-2)/3)/((-1)/12). Let f(m) = 3*m - 3. Let k(s) = -3*s - 1. Let o(n) = -8*n - 2. Let h(d) = -5*k(d) + 2*o(d). Calculate p*h(c) + 3*f(c). c - 1 Let v(r) = -3*r**2 - 4*r + 1. Let l(i) = -2*i**2 - 3*i + 1. What is -5*l(q) + 4*v(q)? -2*q**2 - q - 1 Let l(x) = -x**3 + 5*x**2 + 3*x + 7. Let w(n) = -n**3 + n**2 + n + 1. Calculate l(t) - 3*w(t). 2*t**3 + 2*t**2 + 4 Let z(v) = 4*v + 0*v + 3 - 3*v. Let q be z(0). Suppose -q = -2*s + 3. Let x(o) = -4*o**3 - 3*o + 3. Let g(t) = -7*t**3 - 5*t + 5. Give s*g(u) - 5*x(u). -u**3 Let g(z) = 61*z**2 - 70*z**2 + 11 - 9*z - 2 - 6*z**3. Let a(i) = -3*i**3 - 5*i**2 - 5*i + 5. Calculate 9*a(k) - 5*g(k). 3*k**3 Let c = -4 + -5. Let t(x) = -8*x**3 - 9*x - 17. Let m(f) = 2*f**3 + 2*f + 4. Give c*m(z) - 2*t(z). -2*z**3 - 2 Let o(p) = -3*p + 2. Let c be 9/(-4)*(-2 + 14). Let a(i) = 39*i -
{ "pile_set_name": "DM Mathematics" }
, 0, 11 Factor -4*n**2/7 - 24*n/7 - 20/7. -4*(n + 1)*(n + 5)/7 Determine u, given that -27*u**5 + 549*u**4 - 2433*u**3 - 1809*u**2 - 312*u = 0. -1/3, 0, 8, 13 Determine b, given that -b**5/2 + 7*b**4/2 - 11*b**3/2 + 5*b**2/2 = 0. 0, 1, 5 Factor 3*v**2 - 132*v + 1260. 3*(v - 30)*(v - 14) Solve -3*p**3 - 9*p**2 - 9*p - 3 = 0. -1 Factor v**3/4 + 111*v**2/2 + 4107*v + 101306. (v + 74)**3/4 Factor 3*r**4/7 + 6*r**3 + 180*r**2/7 + 312*r/7 + 192/7. 3*(r + 2)**3*(r + 8)/7 Suppose -5*t**4 - 50*t**3 - 140*t**2 - 120*t = 0. What is t? -6, -2, 0 Determine y so that 4*y**4/7 + 48*y**3/7 + 76*y**2/7 - 48*y/7 - 80/7 = 0. -10, -2, -1, 1 Factor -2*o**4 - 8*o**3 + 42*o**2 + 200*o + 200. -2*(o - 5)*(o + 2)**2*(o + 5) Factor -4*p**4/3 + 100*p**3/3 - 184*p**2/3. -4*p**2*(p - 23)*(p - 2)/3 Find d, given that -60*d**2 + 68*d - 8 = 0. 2/15, 1 Determine m so that 2*m**4 - 28*m**3 + 130*m**2 - 248*m + 168 = 0. 2, 3, 7 Factor 81*y**3 + 1989*y**2 + 1086*y + 144. 3*(y + 24)*(3*y + 1)*(9*y + 2) Determine b so that -2*b**3 - 406*b**2 - 17222*b + 356430 = 0. -109, 15 Solve 15*d**2 + 147*d + 108 = 0. -9, -4/5 Suppose 2*d**3/11 - 34*d**2/11 - 20*d = 0. Calculate d. -5, 0, 22 Suppose 4*s**2/7 + 68*s/7 + 264/7 = 0. What is s? -11, -6 Factor y**2 + 199*y + 394. (y + 2)*(y + 197) Find x such that -3*x**4/5 - 39*x**3/5 - 153*x**2/5 - 21*x + 60 = 0. -5, -4, 1 Factor -3*s**2/7 + 15*s/7 - 12/7. -3*(s - 4)*(s - 1)/7 Factor -2*g**2/7 + 22*g/7 - 48/7. -2*(g - 8)*(g - 3)/7 Suppose 3*k**5 + 14*k**4 - 115*k**3 + 26*k**2 + 72*k = 0. Calculate k. -9, -2/3, 0, 1, 4 Suppose -k**5/4 + 4*k**4 - 53*k**3/4 + 31*k**2/2 - 6*k = 0. Calculate k. 0, 1, 2, 12 Find v such that 4*v**3 + 60*v**2 - 13572*v + 245572 = 0. -73, 29 Let 5*r**2 - 305*r - 960 = 0. Calculate r. -3, 64 Factor -d**4/7 - 29*d**3/7 - 127*d**2/7 - 171*d/7 - 72/7. -(d + 1)**2*(d + 3)*(d + 24)/7 Factor -s**3/7 - 2*s**2/7 + 12*s + 360/7. -(s - 10)*(s + 6)**2/7 Factor 75*r**5 + 4785*r**4 + 3792*r**3 + 756*r**2. 3*r**2*(r + 63)*(5*r + 2)**2 What is n in 6*n**4/19 + 16*n**3/19 + 2*n**2/19 - 16*n/19 - 8/19 = 0? -2, -1, -2/3, 1 Solve -3*v**3 + 87*v**2 + 183*v + 93 = 0 for v. -1, 31 Factor 9*l**3/2 - 42*l**2 - 609*l/2 - 258. 3*(l + 1)*(l + 4)*(3*l - 43)/2 Factor -3*v**3 - 3*v**2 + 348*v + 1440. -3*(v - 12)*(v + 5)*(v + 8) Factor 507*p**4 - 2522*p**3 + 9409*p**2/3. p**2*(39*p - 97)**2/3 Determine z so that -10*z**4/11 + 6*z**3/11 + 4*z**2 - 24*z/11 - 16/11 = 0. -2, -2/5, 1, 2 Factor -b**2/2 + 213*b/4 + 107/4. -(b - 107)*(2*b + 1)/4 Find p, given that p**2 + 449*p/4 + 28 = 0. -112, -1/4 Factor -2*n**3/13 + 30*n**2/13 - 76*n/13 + 48/13. -2*(n - 12)*(n - 2)*(n - 1)/13 Suppose -i**2/2 + 2*i + 21/2 = 0. What is i? -3, 7 Suppose 4*q**4 - 220*q**3 + 420*q**2 + 220*q - 424 = 0. Calculate q. -1, 1, 2, 53 Solve -2*z**2/7 + 20*z/7 - 48/7 = 0 for z. 4, 6 Factor 2*q**4/11 + 10*q**3/11 - 2*q**2/11 - 10*q/11. 2*q*(q - 1)*(q + 1)*(q + 5)/11 Factor 30*l**3 - 398*l**2 + 216*l + 152. 2*(l - 1)*(3*l - 38)*(5*l + 2) Find x such that -2*x**4 - 28*x**3 + 8*x**2 + 112*x = 0. -14, -2, 0, 2 Solve j**3 + 4*j**2 - 4*j - 16 = 0 for j. -4, -2, 2 Factor 2*l**4/15 - 38*l**2/15 + 4*l. 2*l*(l - 3)*(l - 2)*(l + 5)/15 Solve 2*t**4 - 44*t**3 - 376*t**2 - 852*t - 522 = 0. -3, -1, 29 Find j, given that 115*j**3 - 235*j**2 + 10*j = 0. 0, 1/23, 2 Determine u so that u**3/4 + 35*u**2/4 + 207*u/4 - 243/4 = 0. -27, -9, 1 Factor -y**3/3 - 14*y**2/3 - 13*y/3. -y*(y + 1)*(y + 13)/3 Factor n**2 - 5*n + 4. (n - 4)*(n - 1) Factor 3*s**2/4 + 687*s/4 - 345/2. 3*(s - 1)*(s + 230)/4 Factor -3*u**3 - 15*u**2 - 6*u + 24. -3*(u - 1)*(u + 2)*(u + 4) Factor -c**2/5 + 30*c - 1125. -(c - 75)**2/5 Factor -c**3/5 - 3*c**2 - 72*c/5 - 108/5. -(c + 3)*(c + 6)**2/5 Find l such that -l**5 - 2*l**4 + l**3 + 2*l**2 = 0. -2, -1, 0, 1 Solve -4*j**5/7 + 1656*j**4/7 + 10028*j**3/7 + 21792*j**2/7 + 20144*j/7 + 960 = 0 for j. -2, -1, 420 Solve -3*g**4 + 48*g**3 = 0. 0, 16 Solve -3*z**2/5 - 12*z/5 + 756/5 = 0. -18, 14 What is v in 2*v**5/7 - 2*v**4/7 - 24*v**3/7 = 0? -3, 0, 4 Factor -4*v**5 + 64*v**4 - 256*v**3. -4*v**3*(v - 8)**2 Determine x so that -x**2 + 9*x - 14 = 0. 2, 7 Factor -q**4 - 73*q**3 + q**2 + 73*q. -q*(q - 1)*(q + 1)*(q + 73) Determine c, given that -c**3/3 - 19*c**2/3 - 86*c/3 - 104/3 = 0. -13, -4, -2 Solve -2*z**3/3 + 48*z**2 - 952*z + 9248/3 = 0. 4, 34 Factor -28*n**3/5 - 1756*n**2/5 + 504*n/5. -4*n*(n + 63)*(7*n - 2)/5 Solve 3*g**5/5 + 36*g**4/5 - 60*g**3 - 3666*g**2/5 + 297*g/5 + 726 = 0. -11, -1, 1, 10 Solve f**2/2 + 55*f - 111/2 = 0 for f. -111, 1 Factor 2*d**4/7 + 4*d**3/7 - 6*d**2/7. 2*d**2*(d - 1)*(d + 3)/7 Factor 3*r**2/7 - 4422*r/7 + 1629507/7. 3*(r - 737)**2/7 Factor -2*u**2/13 + 16*u/13 + 18/13. -2*(u - 9)*(u + 1)/13 Factor 3*b**3/4 + 45*b**2/4 - 57*b. 3*b*(b - 4)*(b + 19)/4 Find s such that 16*s**4 + 20*s**3 - 88*s**2 - 80*s + 96 = 0. -2, 3/4, 2 Let 3*p**2 - 1926*p + 3840 = 0. Calculate p. 2, 640 Factor -14*j**2 + 16*j - 2. -2*(j - 1)*(7*j - 1) Find o such that o**4 - 84*o**3 + 82*o**2 + 84*o - 83 = 0. -1, 1, 83 Factor 16*h**3 - 198*h**2 + 72*h. 2*h*(h - 12)*(8*h - 3) Factor -11*y**3/4 + 53*y**2/4 - 17*y/2 - 2. -(y - 4)*(y - 1)*(11*y + 2)/4 Factor -9*p**3 + 195*p**2 - 126*p. -3*p*(p - 21)*(3*p - 2) Find u such that -5*u**3 - 14580*u**2 - 14171760*u - 4591650240 = 0. -972 Suppose 2*g**2/13 + 1900*g/13 + 451250/13 = 0. Calculate g. -475 Suppose -2*l**2 - 2*l + 60 = 0. What is l? -6, 5 Factor 5*h**3 + 135*h**2 - 5*h - 135. 5*(h - 1)*(h + 1)*(h + 27) What is f in -39*f**5/2 + 435*f**4/2 - 852*f**3 + 1452*f**2 - 984*f + 120 = 0? 2/13, 2, 5 Factor -3*w**2 - 21*w + 180. -3*(w - 5)*(w + 12) Determine o, given that o**2/8 - 2*o + 15/8 = 0. 1, 15 Determine x so that -x**5/8 - x**4/4 + x**3/4 + x**2 + 7*x/8 + 1/4 = 0. -1, 2 Suppose -4*f**5 - 288*f**4 - 828*f**3 + 16*f**2 + 1104*f = 0. What is f? -69, -2, 0, 1 Find k, given that -4*k**5 - 4*k**4 + 84*k**3 + 164*k**2 + 80*k = 0. -4, -1, 0, 5 Factor -2*a**3/7 + 218*a**2/7 - 636*a/7. -2*a*(a - 106)*(a - 3)/7 Factor 105*m**4 + 410*m**3 + 275*m**2 - 30*m. 5*m*(m + 1)*(m + 3)*(21*m - 2) Factor -q**2 - 219*q - 434. -(q + 2)*(q + 217) Solve -2*i**3/5 + 74*i**2 - 16544*i/5 - 53016/5 = 0 for i. -3, 94 Factor a**3/4 + 43*a**2/2 + 208*a - 12168. (a - 18)*(a + 52)**2/4 Let 2*x**2 - 2780*x - 5568 = 0. What is x? -2, 1392 Suppose 16*j**4 - 428*j**3 - 108*j**2 = 0. Calculate j. -1/4, 0, 27 Factor d**3/6 + 2*d**2/3 - 17*d/2 + 15. (d - 3)**2*(d + 10)/6 What is m in -2*m**5 - 2*m**4 + 4*m**3 = 0? -2, 0, 1 Factor -6*p**3 - 2*p**2. -2*p**2*(3*p + 1) Factor 3*d**3 + 5019*d**2. 3*d**2*(d + 1673) Factor 3*u**2/5 + 174*u/5 - 189. 3*(u - 5)*(u + 63)/5 Determine n so that n**4/2 - 13*n**3/2 + 55*n**2/2 - 75*n/2 = 0. 0, 3, 5 Find d, given that 2*d**5 + 2*d**4 - 18*d**3 - 10*d**2 + 32*d + 24 = 0. -3, -1, 2 Factor -f**3/2 + 6*f**2 + 31*f/2 - 21. -(f - 14)*(f - 1)*(f + 3)/2 Factor 4*z**2 - 244*z + 472. 4*(z - 59)*(z - 2) Determine f, given that -5*f**3 - 5705*f**2 + 34365*f - 51615 = 0. -1147, 3 Solve 5*k**5 + 10*k**4 - 40*k**3 + 10*k**2 + 35*k - 20 = 0. -4, -1, 1 Solve 1020100*i**2 + 8080*i + 16 = 0 for i. -2/505 Solve -2*t**5/9 + 232*t**4/9 - 8888*t**3/9 + 12116*t**2 + 15210*t - 26364 = 0. -2, 1, 39 Factor -5*c**3 - 3160*c**2 + 6335*c - 3170. -5*(c - 1)**2*(c + 634) Suppose 2*p**2/9 - 2980*p/9 + 1110050/9 = 0. What is p? 745 Determine f so that -2*f**2/5 + 68*f/5 - 66/5 = 0. 1, 33 Factor 3*a**5/7 - 3*a**4/7 - 3*a**3/7 + 3*a**2/7. 3*a**2*(a - 1)**2*(a + 1)/7 Solve 3*y**3/4 - 11*y**2/2 + y + 30 = 0 for y. -2, 10/3, 6 Suppose -24*o**3/5 + 183*o**2/5 - 63*o = 0. Calculate o. 0, 21/8, 5 Suppose 2*d**3/7 - 14*d**2 + 534*d/7 - 774/7 = 0. What is d? 3, 43 Suppose 3*s**3 - 15*s**2 = 0. Calculate s. 0, 5 Factor -57*a**2/5 - 18*a + 48/5. -3*(a + 2)*(19*a - 8)/5 What is s in 3*s**5 + s**4 - 3*s**3 - s**2 = 0? -1, -1/3, 0, 1 Factor -6*d**4/11 + 8*d**3 - 350*d**2/11 + 196*d/11. -2*d*(d - 7)**2*(3*d - 2)/11 Factor m**3 + 36*m**2 + 285*m - 722. (m - 2)*(m + 19)**2 Determine t so that -8*t**5 + 20*t**4 + 20*t**3 - 20*t**2 - 12*t = 0. -1, -1/2, 0, 1, 3 Let p**2/3 - 4*p/3 = 0. Calculate p. 0, 4 Determine c so that 2*c**2 - 55*c + 27 = 0. 1/2, 27 Factor 3*h**4/2 - 9*h**3/2 + 9*h**2/2 - 3*h/2. 3*h*(h - 1)**3/2 Factor -k**3 - 79*k**2 - 1599*k - 1521. -(k + 1)*(k + 39)**2 Solve -15*c**4 + 24*c**3 + 7
{ "pile_set_name": "DM Mathematics" }
40*t**2 Let h(t) = -4*t**2. Let l(k) = -2*k. Let o(q) = q - 2. Let d be o(-4). Let j(v) = 7*v. Let x(z) = d*l(z) - 2*j(z). Give x(h(y)). 8*y**2 Suppose -o + 6 = 3*b, -19*o - 3*b = -21*o + 3. Let u(n) be the first derivative of -4 + 2/3*n**o + 0*n + 0*n**2. Let a(r) = 3*r**2. Determine u(a(s)). 18*s**4 Let c be (72/56)/(-9) + 72/14. Let v(b) be the third derivative of 0 + 0*b**3 + 0*b**4 + 1/60*b**c + 0*b + 2*b**2. Let q(j) = -4*j**2. Give q(v(u)). -4*u**4 Let j(z) = 6*z - 3759. Let l(o) = -12*o. Determine j(l(g)). -72*g - 3759 Let d(x) = 142948*x**2. Let f(u) = 4*u**2. Calculate d(f(l)). 2287168*l**4 Let c(l) = 8*l**2 - 14. Let g(k) = -k. Let r(q) = -3*q**2 + 6*q + 5. Let b(u) = -6*g(u) - r(u). Let f(j) = -14*b(j) + 5*c(j). Let a(x) = 5*x. What is f(a(m))? -50*m**2 Let t(l) = -1157070*l**2. Let c(f) = f. Determine c(t(d)). -1157070*d**2 Let f(s) = -2*s. Let w(d) be the first derivative of d**3/6 - 23*d - 15. Let z(o) be the first derivative of w(o). Give f(z(y)). -2*y Let y(c) = 4*c + 93. Let k(r) = 931*r. Give y(k(o)). 3724*o + 93 Let d(f) = -334*f. Let l(w) = 111*w**2. Calculate l(d(t)). 12382716*t**2 Let t(s) = s - s + 3*s**2. Let x(b) = -16*b**2 + 10*b + 15. Let n(z) = -8*z**2 + 4*z + 6. Let i(g) = 10*n(g) - 4*x(g). Calculate t(i(m)). 768*m**4 Let n(m) be the first derivative of 0*m**2 + 0*m - 1 + 2/3*m**3. Let t(f) = -11*f**2. What is t(n(p))? -44*p**4 Let m(z) = 5*z - 8*z**2 - 5*z. Let l(s) = -s - 51*s**2 + 30*s**2 + s + 24*s**2. Give m(l(b)). -72*b**4 Let v(t) = -19*t**2. Let z(x) be the second derivative of -x**7/840 + 7*x**4/6 - 3*x. Let n(d) be the third derivative of z(d). Calculate v(n(h)). -171*h**4 Let h(u) = -u**2 - 7 - 4*u + 7 - u**2 + 4. Let k(c) = -c + 1. Let z(b) = -h(b) + 4*k(b). Let w(f) = 5*f**2. Determine z(w(s)). 50*s**4 Let i(f) = 2*f**2. Let z(d) = d + 10. Let w(b) = -45*b + 240. Let h(r) = -3*w(r) + 72*z(r). What is h(i(a))? 414*a**2 Let n(v) be the first derivative of -11/2*v**2 + 2*v + 46. Let j(i) = -2*i. What is n(j(y))? 22*y + 2 Let f(y) = -105 - 12*y + 105. Let h(w) = 2*w**2 + 3. Let x(m) = 2 - 1 + 2*m**2 + 3 + 0. Let p(o) = -4*h(o) + 3*x(o). Give p(f(n)). -288*n**2 Let w(k) = -19*k - 7. Let r(q) = -9*q - 3. Let j(m) = 7*r(m) - 3*w(m). Let x(n) = 12*n**2. Give x(j(f)). 432*f**2 Let d(z) = z + 5. Let x(b) = -4 + 4 - 2. Suppose -47 = -2*g - 43. Let r(v) = g*d(v) + 5*x(v). Let i(q) = 4*q. Calculate i(r(s)). 8*s Let j(m) be the second derivative of -23*m**4/12 + 29*m + 3. Let h(k) = 9*k. Determine h(j(d)). -207*d**2 Let r(j) = -4 + 4 + j. Let v(t) = t - 5. Let q(b) = 8. Let y(w) = 1. Let a(h) = -q(h) + 4*y(h). Let l(k) = 5*a(k) - 4*v(k). Give l(r(z)). -4*z Let b be (((-4)/8)/(-1))/((-2)/(-12)). Let m(d) = 0*d + 0*d + b*d. Let h(v) = -18*v**2. Give h(m(l)). -162*l**2 Let w(l) = -2*l. Let x(y) = 60196*y. What is w(x(s))? -120392*s Let t(g) = -g**3 + 27*g - 5. Let k be t(5). Let m(h) be the first derivative of 11/2*h**2 + 0*h - k. Let n(p) = 2*p**2. Calculate m(n(z)). 22*z**2 Let z(o) = 2*o**2. Let g(t) = -3*t - 23*t + 2 + 1. Let b(l) = 79*l - 8. Let q(c) = 3*b(c) + 8*g(c). Determine z(q(y)). 1682*y**2 Let v(o) be the first derivative of -2/3*o**3 + 7 + 0*o + 0*o**2. Let d(w) = 19*w**2. Determine d(v(b)). 76*b**4 Let q(p) be the second derivative of -p**4/2 - 50*p - 4. Let x(w) = -80*w**2. Determine x(q(z)). -2880*z**4 Let n(d) = 4*d**2. Let t(a) = -a**2 - 1. Let i(y) = y**2 + 2. Let j(q) = -3*i(q) - 5*t(q). Let m(v) be the first derivative of j(v). What is n(m(k))? 64*k**2 Let g(m) = -2*m**2. Let n(t) = -59*t - 3080. What is n(g(k))? 118*k**2 - 3080 Let b(f) = 23*f**2 - 4*f - 8. Let p(v) = -760*v**2 + 133*v + 266. Let x(l) = -133*b(l) - 4*p(l). Let k(m) = 5*m. What is x(k(d))? -475*d**2 Let c(q) = 5*q - 4 - 5*q**2 - 5*q. Let o(g) = 11*g + 8*g - 44*g + 25*g + 2*g**2. Give c(o(z)). -20*z**4 - 4 Let m(q) = 1350*q - 2. Let z(p) = p**2. Determine m(z(a)). 1350*a**2 - 2 Let z(d) = -7151*d**2 - d + 4. Let v(f) = 4*f**2. Give z(v(m)). -114416*m**4 - 4*m**2 + 4 Let h(o) = -170*o**2 + 2*o. Let j(s) = -132*s**2. Determine h(j(m)). -2962080*m**4 - 264*m**2 Suppose 3 = -z + 1. Let w = z + 2. Let t(v) = v + w*v + 2*v. Let h(d) = -3*d**2. Determine h(t(g)). -27*g**2 Let c(i) = -i**2 - 3*i + 8. Let d be c(-4). Let g(s) = 2*s**2 + s**2 - 7*s**2. Let h(m) = 35*m**2. Let l(t) = d*h(t) + 36*g(t). Let f(u) = u. Determine l(f(o)). -4*o**2 Let d(u) = 2*u**2 - 3*u**2 - u**2 + u**2 + 6*u**2. Let r(a) = 8*a. What is d(r(y))? 320*y**2 Let k(n) = 5*n**2. Let p(g) = 2*g**2 + 15*g + 10. Let d be p(-7). Let w(v) be the second derivative of -4*v + 0*v**d + 1/6*v**4 + 0 + 0*v**2. Calculate k(w(h)). 20*h**4 Let j(u) be the first derivative of u**3 - u**2 + 2*u + 12. Let v(z) = -z**2 + z - 1. Let p(y) = -j(y) - 2*v(y). Let o(d) = -7*d + 1 - 1. Determine o(p(g)). 7*g**2 Let b(k) = -45*k + 1. Let u(g) = -2*g + 269. Determine b(u(p)). 90*p - 12104 Let u(x) = -8*x**2. Let w(c) be the third derivative of -c**5/2 - 7*c**2 - 3*c. Determine w(u(l)). -1920*l**4 Let u(j) = 4547935*j. Let a(c) = c. Calculate u(a(w)). 4547935*w Suppose j = 0, 5*n - j - 3*j + 2480 = 0. Let p be (-10)/15 - n/6. Let w(z) = -p + 82 + 14*z**2. Let d(y) = -y. What is d(w(f))? -14*f**2 Let f(p) = -68*p. Let k(w) = -8*w. Let r(a) = -7*a. Let o(u) = -6*k(u) + 7*r(u). Determine f(o(h)). 68*h Let x(s) = 3*s**2. Let p(b) be the third derivative of 2*b**5/15 - 96*b**2. Calculate x(p(y)). 192*y**4 Let x(q) = -2*q. Let j be 8/(-12)*-3 + 0. Suppose 2*p = b - 6*b - 13, 0 = -p - b - j. Let v(t) = 14*t - p - 15*t + 1. What is x(v(f))? 2*f Let u(l) = l**2. Let s be ((-8)/5)/(4/(-10)). Let z = 7 - s. Let c(v) = -3 - v + 6*v + z. Give c(u(g)). 5*g**2 Let t(g) = -2*g. Let a(c) = -c. Let v(l) = -5*a(l) + 2*t(l). Let z(u) = -92*u**2 - 3. What is v(z(r))? -92*r**2 - 3 Let d(s) be the second derivative of 0 + 17*s + 0*s**2 - 1/3*s**3. Let p(n) = 52*n**2. Give d(p(l)). -104*l**2 Let u(h) = 5*h. Let g(r) = 102467*r. Calculate u(g(i)). 512335*i Let y(d) = d. Let p(q) = 63*q - 124. Let h(c) = 22*c - 41. Let a(m) = 17*h(m) - 6*p(m). Give a(y(k)). -4*k + 47 Let f(i) = -5*i**2. Let x(m) be the third derivative of -m**4/3 - m**2 + 34. Determine x(f(r)). 40*r**2 Let w(z) = -142*z**2 + z - 3. Let m(v) = -v. Give w(m(c)). -142*c**2 - c - 3 Let n(d) = 234*d**2 + 237*d**2 - 473*d**2. Let u(f) = -3*f**2 + 29. Determine n(u(c)). -18*c**4 + 348*c**2 - 1682 Let y(z) = 194*z. Let a(q) = 1841*q**2. Determine a(y(p)). 69287876*p**2 Let k(j) = -2*j**2. Let t(y) = 3 + 18 - 21 + 6*y**2. Give t(k(q)). 24*q**4 Let q(v) be the second derivative of 935*v**3/6 + 23*v + 4. Let b(l) = 2*l. Determine q(b(t)). 1870*t Let w(z) be the third derivative of -z**6/120 - z**5/60 + z**4/24 + 2*z**3 - 2*z**2. Let u be w(0). Let v(n) = 12 - u + 3*n. Let o(t) = 2*t. Give v(o(m)). 6*m Let w(u) = 86*u + 48. Let v(j) = j**2. What is v(w(m))? 7396*m**2 + 8256*m + 2304 Let l(a) be the first derivative of -23 + 3*a**3 + 16 - 2*a**3. Let k(y) = 2*y. Calculate k(l(p)). 6*p**2 Let o(y) = -30*y. Let t(j) = -2*j - 1. Let m(v) = -21*v - 4. Let b(s) = m(s) - 4*t(s). Determine o(b(g)). 390*g Let y(m) = -3*m - 4. Let t(d) = d**2. Let f be t(3). Let b(p) = 7*p + 9. Let j(c) = f*y(c) + 4*b(c). Let n(s) = -2*s**2. Determine n(j(q)). -2*q**2 Let u(s) = -2*s. Let n(a) be the first derivative of a**2/2 - 22*a + 322. What is u(n(h))? -2*h + 44 Let w(j) = -3*j. Let c(l) = 8*l - 6. Let s be c(1). Let u(r) = 0*r**2 - 3*r**2 + 5*r**s. Calculate w(u(y)). -6*y**2 Let u(m) = 2*m. Let b(g) = -5*g + 67. Let v(y) = -3*y - 81. Let k(d) = -d - 41. Let o(r) = -9*k(r) + 4*v(r). Let s(w) = -5*b(w) + 7*o(w). Calculate u(s(c)). 8*c - 40 Let g(c) = c**2. Let z(v) = 3*v - 2. Let n(y) = 7*y - 5. Let r(s) = -6*n(s) + 13*z(s). Give r(g(w)). -3*w**2 + 4 Let g(y) = -4*y. Let h(n) = 6*n**2 + 20*n**2 + 2*n**2 + 8*n**2. Calculate g(h(o)). -144*o**2 Let a(o) = -2*o - 18696. Let n(l) = -6*l. Calculate n(a(d)). 12*d + 112176 Let l(u) = -u**2. Let v(n) = 175466*n. What is v(l(i))? -175466*i**2 Let a(l) be the first derivative of -l**3 - 1. Let b(r) be the third derivative of -r**4/24 - 43*r**2. What is a(b(v))? -3*v**2 Let d(l) = l**2 + 0*l**2 - 2*l**2. Let n(r) = -28*r**2 + 35*r - 35. Let q(x) = x**2 - x + 1. Let g(t) = -3*n(t) - 105*q(t). Determine d(g(i)). -441*i**4 Let z(t) be the third deri
{ "pile_set_name": "DM Mathematics" }
3 Calculate -1 - -4 - (3 + -6). 6 Calculate 7 + (1 - 9 - 3). -4 What is -6 - (-23 - (-5 + -2))? 10 (-1 - 2) + -7 + 7 -3 -3 - (-4 - (-4 - (-3 + 3))) -3 What is (1 - 2) + (-88 - -85)? -4 What is the value of 33 - 26 - (2 - -7)? -2 5 - 3 - (-8 + (1 - -2)) 7 What is -1 - -3 - (3 + 2)? -3 What is 4 + -7 + -8 + 3 + 3? -5 -4 + 0 + 3 - (11 - 14) 2 What is the value of 1 + -2 + -12 + 8? -5 Evaluate -2 + (19 - (12 - 2)). 7 -1 + (0 + 3 - (0 - -4)) -2 What is -1 + 1 - (21 + -21)? 0 What is 8 + (-21 - -10 - 1)? -4 ((-12 - -7) + 8 - -1) + 0 4 Evaluate (-9 - -33 - 10) + -8. 6 What is the value of -4 - (3 + -6) - 1? -2 What is 2 - (-8 + 1 + (-43 - -49))? 3 What is (-35 - -9) + 8 + 9? -9 (-10 - (3 + (-5 - 1))) + 4 -3 What is the value of 1 + -2 - (-4 + 0)? 3 Evaluate 6 - -1 - (13 - 13) - 4. 3 Calculate -6 + 7 + -6 + -1. -6 What is -3 + 5 + (-4 - 0) + 2? 0 Evaluate -1 + (-4 - -3 - -5 - 6). -3 What is -7 + (-3 + 1 + -3 - -8)? -4 Evaluate (2 - 4 - (0 + 2)) + -2. -6 Evaluate 7 + -18 + 8 + 6. 3 What is 6 + -2 + (-1 - 2)? 1 What is 13 - 5 - (5 - 0)? 3 Evaluate 1 - (14 - (-5 - -7 - -2)). -9 What is the value of 5 + -12 - (-6 + 1)? -2 What is 3 + -2 - 3 - 2? -4 What is 3 + 4 + -5 + -5? -3 What is the value of -19 + 18 + (2 + 0 - 1)? 0 Evaluate 0 - 11 - (-1 + 8 + -11). -7 Evaluate -6 + (2 - (-5 - -4)). -3 Calculate (-1 - -3) + (1 - 2). 1 What is 1 + (8 - 4 - 4)? 1 -25 + 23 - (0 - 0 - -2) -4 Evaluate -1 + 9 - (5 + 0) - -2. 5 Evaluate (0 - 2) + (6 - -13) + -13. 4 (10 + 1 + -3 - 7) + -2 -1 What is (151 - 158) + (-3 - -1)? -9 0 - -3 - (-1 + 10 + -2) -4 Evaluate 4 + -10 + (5 - -1). 0 Evaluate (18 - 7 - 11) + -7. -7 Evaluate 6 - (5 + -2 + -2). 5 Evaluate -2 + -2 + (-2 - -12) + -2. 4 Evaluate -2 - (0 - -1 - -2). -5 Evaluate -4 + (-3 - 0) + 7. 0 What is (1 - (4 - 3)) + -6 + 4? -2 (-11 - (-6 + -2)) + (-6 - -3) -6 What is 3 + 2 + 0 + (-9 - 2)? -6 Calculate 0 - 0 - (8 - 4 - 0). -4 What is (-8 - -2) + 9 + -6 + 0? -3 Evaluate (3 - 6 - (-1 + -8)) + -2. 4 Calculate (2 - 11) + 4 - -4. -1 Evaluate 0 - 0 - (25 + -24). -1 What is the value of (9 - (4 - -2)) + 0 - 2? 1 What is (0 - (-1 + 0)) + 4 + -7? -2 What is -1 - (-5 - -13) - (6 + -9)? -6 What is -7 - (-1 + 4 + -6)? -4 What is -5 - ((-3 - -7) + -4)? -5 (8 - 4) + -8 - -4 0 (4 - (-1 - 0)) + -3 + -5 -3 What is (-1 - (6 - 3)) + 9? 5 5 - (-5 + 4) - 4 2 Evaluate 5 + -1 + -8 - -6. 2 What is the value of 0 + -20 + 11 + 7? -2 7 + -9 + 6 - 8 -4 -223 + 239 - (7 + -1) 10 (-3 - -12 - 5) + 0 + 2 6 Calculate (5 - 0) + -3 - 3. -1 What is the value of -4 - (-4 + -4 - -1)? 3 What is the value of -6 + 10 + -8 + 6? 2 What is (3 - 3) + (-1 - (0 - 3))? 2 What is the value of -2 + 12 - (14 + 7)? -11 What is the value of (0 - 2) + (4 - -2) - 3? 1 -3 + (1 - (4 + -1)) + 4 -1 -15 - -8 - -8 - -2 3 8 - (3 + -7 + (-4 - -8)) 8 Evaluate (-3 - (2 + -2)) + -17 + 16. -4 What is the value of -4 - (-4 - ((-8 - -5) + 4))? 1 What is -21 + 37 + -1 + 2 - 8? 9 Evaluate (8 - 1 - (32 - 28)) + -11. -8 Evaluate (2 - (2 + 2)) + 45 + -47. -4 Evaluate 3 + -2 - (-81 + 75). 7 What is the value of 9 + -8 + 3 + -1? 3 Calculate -1 + 0 + -4 + 1. -4 What is the value of (0 - 1 - -1) + 16 + -18? -2 What is the value of -5 + (9 + -1 - (57 - 62))? 8 What is the value of 7 + (-5 - (-1 - (-1 + 4)))? 6 What is (-2 - 1) + (-11 - (-13 - -5))? -6 2 + -3 - (-5 + (2 - 3)) 5 Evaluate 2 - -5 - (-1 - -13). -5 What is 5 - 6 - (-2 - 2)? 3 What is 2 - (-20 - -20 - (3 - 3))? 2 What is the value of -1 + 1 - (18 - 13)? -5 Calculate 13 - (2 + -11 + 18). 4 (63 - 73) + 0 + 17 7 Evaluate -9 + 10 + 6 - (-1 - -6). 2 What is 3 + 1 + -2 - 4? -2 Calculate 0 + 3 + (-13 - (-13 + 6)). -3 What is 0 + (3 + -5 - 0)? -2 What is -7 - (-6 + 6 + -12)? 5 What is the value of -1 + -4 + -27 + 28? -4 Calculate (0 - (-2 - -3)) + (13 - 12). 0 Evaluate 1 + 3 + 0 + -1. 3 What is 2 + -3 + (3 - (-3 + 1))? 4 (-1 - (-10 + 5 - -3)) + 1 2 What is the value of -4 - (-2 - -1) - (-8 - -8)? -3 Calculate 12 + (-8 - (8 - 9)) - 4. 1 Calculate 0 + 2 + -3 + (215 - 208). 6 Evaluate 2 + 3 - (2 + 0 + 1). 2 Evaluate 1 + (0 + 8 - 7). 2 Evaluate -6 + 5 + (-1 - -9). 7 What is the value of (15 - (6 - -8)) + -4 + -1? -4 Calculate 0 - (1 - (4 - 4)). -1 Calculate -6 - (-7 + (1 - -5)). -5 What is the value of 7 + -1 - (-35 + 49)? -8 What is 2 + -6 - ((-4 - -2) + 3)? -5 What is -5 - -2 - (-3 + 2 + 0)? -2 What is -14 - (-25 - -8 - 3)? 6 What is 2 - (7 + (3 - 2) + -6)? 0 What is -3 - (6 - 6 - 5)? 2 What is the value of 3 - (-9 - (-5 - 3))? 4 Evaluate (0 - (0 + -1)) + (1 - -3). 5 What is -10 + -4 + 10 + -4 + 0? -8 Evaluate (14 - -2 - (18 - 12)) + -5. 5 -2 + 10 + (1 - 5) - 0 4 Calculate -7 - (-4 - -2 - (0 + 2)). -3 -3 + (0 - (-8 + 4)) - 2 -1 5 + (5 - (14 - -3)) + 2 -5 What is the value of 5 + -10 + (-7 - -4) + 7? -1 Calculate 2 + (2 - 3) - -5 - 10. -4 5 + -11 + -2 + 0 - 0 -8 Evaluate 3 - (-2 - (-10 - 0)). -5 2 - ((9 - -4) + -6) -5 Evaluate 9 - (-9 + 9) - 13. -4 What is -8 - (12 + -6 + -18)? 4 What is 4 - ((-2 - 3) + -1 + 3)? 7 Evaluate 0 + 1 - 3 - -6. 4 Calculate -6 + 4 + (0 - (-2 - -2)). -2 -5 - (-13 - (-2 + -4)) 2 Calculate 3 - (-12 + 14 + (0 - 0)). 1 (9 - 11) + (2 - 3) + 6 3 What is 12 + -2 + 55 + -61? 4 What is the value of (-1 - 2) + 17 + -22? -8 What is the value of 0 + 9 + (-20 - -1)? -10 Evaluate -7 - (0 + (-2 - -3)) - -3. -5 Evaluate -1 + (-9 + 4 - -2 - -5). 1 What is the value of 9 + 3 + -2 + -7? 3 Calculate 26 + -22 - (-2 + 4 + 1). 1 0 + (-5 - (-9 + 1 + 7)) -4 What is 11 + -9 + (-5 - (0 + -1))? -2 Evaluate -2 + -2 + 1 + 1 - 3. -5 Calculate -4 + 4 - (1 - (0 + -2)). -3 Evaluate (-4 - -5) + (2 - -2). 5 Calculate -3 + (1 - (5 + -9)). 2 Evaluate 2 - (9 + (-9 - -7)). -5 What is 2 + -6 + -4 + 14? 6 What is the value of -12 - -2 - -1 - (5 + -10)? -4 (-8 - 0 - -5) + -3 + 7 1 Evaluate (0 + -3 - 2) + 3 + -1. -3 (-14 - -10) + 7 + -5 -2 Evaluate 0 + -2 + 1 - -3. 2 Calculate -4 - (1 + 2 + -5). -2 Evaluate (-7 + 2 - 3) + 9. 1 What is (0 - (-14 + 2)) + -11? 1 -7 - (-6 + -2 + 3) -2 What is the value of 13 + -10 + (-1 - 3)? -1 (-8 - (6 + -15)) + -2 -1 What is (-2 - 7) + 1 - -7 - 8? -9 Calculate 2 - (2 - -1 - (-3 - -3)). -1 What is the value of 5 - (-2 - (-6 - -5)) - 6? 0 5 + (-6 - 1 - 0) -2 -4 - (2 + -5 + (-1 - -2)) -2 What is the value of -2 + (-4 - -5) - -5? 4 -7 + 3 + -1 + -4 -9 5 - (-1 + -7 + 4) - 4 5 Calculate 4 + 0 + (-1 - -1). 4 Calculate 1 + (6 - 9 - 3) - -6. 1 Calculate 1 + 0 + -3 + -3. -5 What is -3 - (0 - 10) - (0 - -4)? 3 What is the value of (-13 - (9 + -13)) + -1 + 6? -4 Calculate -3 + (-39 + 48 - (0 - -1)). 5 What is the value of -2 - (0 - (6 - 3))? 1 Evaluate 2 + 1 + (-12 - -8). -1 What is the value of -7 + 2 + 2 + 4 + -3? -2 What is the value of -2 - (2 + -4 - -3)? -3 Calculate -22 - -8 - -9 - (-1 - -2). -6 What is -8 + ((-1 - -1) + -1 - -16)? 7 What is -1 + (2 - 1) - -2? 2 What is -9 - (-15 + 14) - -1? -7 Calculate -2 + -1 + -1 + -6 + 8. -2 Evaluate 9 - (2 + 6 + 1). 0 Calculate (0 - 4 - -4) + 2. 2 Calculate -6 + 0 - -10 - 5. -1 Evaluate 0 + (1 - -3) - (-122 + 125). 1 Evaluate -2 + (-12 - -23 - (-2 - -6)). 5 Evaluate (6 - 6) + -4 + 5. 1 What is -2 - (1 - -4 - 10)? 3 1 - (3 - (5 - 7)) -4 What is the value of 6 - (15 + -10 + 2)? -1 Calculate -5 - (6 + -2 - 5). -4 What is the value of 13 + -4 - (6 + 9)? -6 Evaluate 14 + 0 + 83 + -91. 6 What is -2 + 2 + 0 - (-24 - -21)? 3 What is the value of -2 + -1 + -3 - (-6 - -1)? -1 Calculate 3 - (-10 + -2 + 11). 4 Calculate (8 + -6 - 7) + -4. -9 Calculate 9 + (0 + -7 - 1). 1 Calculate 2 + (0 + 5 - 3). 4 What is 5 + -2 - (1 - 2)? 4 What is the value of 1 + 5 + (6 - 8)? 4 2 + 5 + (-4 - (15 + -3)) -9 Evaluate -5 - (-2 + 1 + -5 - -6). -5 What is -1 - 2 - (5 + (0 - 3))? -5 -24 + (19 - 7) + 2 -10 What is the value of -2 + (5 + -3 - 0) + -2? -2 What is the value of 59 + -57 - (4 + -1 + 1)? -2 What is the value of (7 - 6 - (3 - 1)) + -1? -2 Calculate 5 + -4 + -1 - 1 - 3. -4 -8 + 1 + -4 + 6 -5 What is the value of 9 + -2 - ((-2 - -4) + 2)? 3 5 + 0 + 3 + -6 2 Evaluate -1 - (2 - 4 - (1 + -2)). 0 Evaluate (8 - (7 + 0)) + (-1 - 1). -1 What is the value of 1 + (1 - (-1 - -3)) - -3? 3 What is the value of -2 - (-3 + -2) - -1 - 0? 4 Evaluate 1 - (5 - -3 - 4). -3 3 + (-3 + 2 - -1) 3 Evaluate 3 + 1 - (-1 - -8 - 5). 2 What is 143 + -143 - (3 + 0)? -3 Evaluate 77 - 76 - (6 - 1). -4 Evaluate 3 + -3 + 2 + 4 + -3. 3 Calculate -4 - (0 - 5 -
{ "pile_set_name": "DM Mathematics" }
). Let b = m + 14. Suppose 2*u + 2 = 2*j - 2, -3*u = j + 2. Which is greater: j or b? j Let y = 0.6 - 0.5. Let b be 0*(-1 - (0 - 0)). Is b smaller than y? True Let p(w) = w**2 + 4*w + 4. Let x be p(-3). Which is smaller: 6/11 or x? 6/11 Let w = 177 + -707/4. Is w < 49? True Suppose -3*b + 5*k + 0*k = 652, 0 = 4*b + k + 831. Let i = b - -138. Let z = i + 209/3. Is z greater than or equal to 0? False Suppose 2*j - 5 = j. Suppose 0*m + 9 = m - 4*s, 5*m = -s + 66. Suppose 5*l + 2*f = -2*f, 2*l = f + m. Which is smaller: l or j? l Let y be (1/(-2))/(1/(-4)). Let v be 34/(-4) + (-1)/y. Let b be 2/v - 2/(-9). Is b at most as big as 1? True Suppose -2*j = 2*j + 20. Let m(u) = -4*u + u**2 + 8*u + 3 - 4. Let h be m(j). Which is bigger: 2 or h? h Let h = -144 - -137.9. Let z = -6 - h. Do z and -1/2 have different values? True Let q(a) = a + 26. Let l be q(-16). Do l and 10 have the same value? True Let t = -137 + 687/5. Let n = 9 - 6. Let h = -2.8 + n. Which is bigger: t or h? t Let o = 22 + -23. Let l = -5 + 4.7. Is o <= l? True Suppose -q = 2*q + 36. Is q not equal to -12? False Let r = 23/156 + 1/52. Let k = 3 + -0.9. Let f = -2 + k. Do f and r have the same value? False Suppose -n - 14 = -3*i, i - 2*i = 2*n. Let u be ((-2)/i)/(6 - 5). Suppose -d = 3*d + 8. Is u smaller than d? False Let f be 25/(-35) + -2 + 3. Which is smaller: f or 4? f Let y = -0.06 - -0.07. Let w = y + -1.01. Which is smaller: w or 4? w Suppose 0 = z + 8 - 24. Let n = z + -6. Which is smaller: n or 11? n Let c(l) = l**3 - 7*l**2 + 6*l - 1. Suppose -2*u + 2*m = -4*u + 6, u + 27 = 5*m. Let n be u/(-10) - 29/(-5). Let o be c(n). Is o not equal to -2/17? True Let i = 3 - -2. Suppose -i*g = -2*b + 7, 4*b - 5*b = g + 7. Let o = 3 + b. Is o smaller than -4/7? True Suppose z + 4*t + 2 = 3*t, -5 = -5*z - 2*t. Let s be 10/(-21) - z/(-21). Is 0 less than or equal to s? False Let z be (-17)/(-35) - 2/7. Let d be (-2)/(-15) - 6/45. Suppose 0 = 4*c - d*c + 4. Is c at most z? True Let a(j) = j**3 - j**2 + 6. Suppose -2*c - 5 = o + 1, -4*o + 3*c = -9. Let n be a(o). Do n and 6 have the same value? True Let h = 9 + -8. Suppose 0*v - 2*o = -v - 6, -3 = -o. Let r = h + v. Are 2 and r nonequal? True Let h be 2/14 + (-102)/(-119). Does h = -2/7? False Let z = 4 - 1. Suppose 3*k = -2*j - 1, -j = -z*k - 6*j - 16. Let n(p) = -p**2 + 3*p - 1. Let q be n(k). Is -1/8 greater than q? True Let t = -18 + 12. Let x be (0 + -1)/((-2)/t). Which is smaller: -4 or x? -4 Let b = 20 - 20. Which is greater: b or -5/26? b Let l = 9 + -9. Which is bigger: l or 8? 8 Let g(v) be the second derivative of v**5/60 - v**4/12 + v**3/3 + v**2/2 - v. Let s(b) be the first derivative of g(b). Let h be s(2). Is 1 bigger than h? False Let q = -120895225/57 - -2120422. Let y = q + 547. Let j = 202/627 - y. Is -1 <= j? True Let b(q) = q**2 + 3*q - 4. Let i be b(-3). Let x = 20 + -14. Let u be i/x*(-3)/(-2). Which is greater: -1/9 or u? -1/9 Suppose 0 = -2*u + 2*n - 7 + 17, -2 = 2*u + n. Is 12/11 greater than u? True Let x = -1.13 + 1.03. Is x less than or equal to 13/5? True Let b(k) = -3*k - 1. Let w be b(-3). Suppose 0 = -4*j + w. Suppose 5*h - q = 16 - j, -3*h + 18 = -3*q. Which is smaller: 1 or h? 1 Let n be ((-12)/4)/(6/(-8)). Suppose 5*u - 9 = -n. Is -0.06 at least as big as u? False Let z = 2 + -2.7. Which is smaller: z or -0.1? z Let p be (-6)/10 - (-18)/(-45). Which is bigger: -1/12 or p? -1/12 Let j be 38783/(-132) + (-9)/36. Let l = j - -294. Which is greater: l or 0? 0 Let b = 689/2 - 337. Is 7 bigger than b? False Let b = -49.9 - -52. Let u = 1.08 - -0.32. Let h = u - b. Is h less than or equal to 2/3? True Suppose 5*j - 28 - 7 = 0. Let t be (-33)/j - (-2)/(-7). Let l(n) = n**2 + 4*n - 5. Let d be l(t). Is d > 0? False Let w = 12 + -12. Let i be (2 - (w - -6)) + 3. Is i at least as big as -6/11? False Let k = -5/328 + 1/738. Is 1 < k? False Let x = 2.1 + -2. Let m = -99.3 - -99. Which is smaller: x or m? m Let y be 6/(-28) - 2/7. Let t = -2 + 16. Which is smaller: y or t? y Let p(c) = 5*c + 23. Let f be p(-5). Which is smaller: -1 or f? f Suppose 0 = -2*s + 3*s + 3*i + 2, -4*s - 2*i = -12. Let h = -7 - -5. Is h bigger than s? False Let p(g) = 4*g + 6. Let j be p(0). Suppose -2*c - 3*c + 2*u + 8 = 0, 3*u = 3*c - 3. Suppose 4 = -c*a - l + 2, j = a + 4*l. Which is greater: a or -3? a Let k = 17.37 + -1.37. Which is smaller: k or 0.06? 0.06 Suppose 0 = -5*y + 27 - 342. Let w be (-2)/9 - 140/y. Do w and 8/3 have different values? True Let o = -126 - -77. Which is bigger: o or 2? 2 Let k be -1*(1/(-29) + 0). Suppose -5*u + 3*g - 15 = 0, 3*u - 2*u + 4*g - 20 = 0. Is u > k? False Let i = -0.08 + -0.92. Suppose -3*f - 35 = 5*r - f, -32 = 3*r - f. Let m = 4 + r. Which is smaller: m or i? m Suppose -5*c = -7*c + 7*c. Which is greater: c or -16? c Suppose 3*b - 7 = -2*x, -2*x + b - 2*b = -5. Let v = x - 0. Suppose -4*t + 6*t = v. Which is greater: t or 2? 2 Let q be 2 + -2 + 26/(-2). Let i = 27 + q. Let c be i/(-10) - (-1)/1. Is -1 greater than or equal to c? False Let w be (2/8)/((-70)/80). Is -3 < w? True Let g(c) = -c**3 - 5*c**2 - 3*c - 4. Let q be g(-4). Let n be (-3)/7 - q/28. Let l = -2 + 1. Are n and l equal? False Let f(j) = j**2 + 14*j - 12. Let t be f(-15). Is t < 3? False Let a(t) = -t**2 - 4*t + 7. Let u be a(-5). Let c be (0 - u/(-9))*-3. Which is smaller: 0 or c? c Let l = 3 - 5. Let g be (0 + 2)*(-70)/112. Is l at most g? True Let l = 9.7 + -12. Let g = l + 2. Which is smaller: g or 0? g Let x be -3*(2848/(-30))/2. Let p = -143 + x. Which is greater: p or 0? 0 Let m = -0.49 + 0.5. Let f = -2 + 1. Is f less than m? True Let t be (-26)/(-65) + 38/(-70). Is t > -0.1? False Suppose -4*t - z - 1 + 0 = 0, 4*z + 4 = 0. Suppose 0 = 5*c - 5*j + 15, -4*j = 2*c - t*j. Which is greater: -1 or c? -1 Let k(g) = -2*g**2 + 12*g - 5. Let o be k(8). Let s be (-886)/(-24) + (-1)/4. Let h = s + o. Is h at least 1? False Let p be ((-2)/5 - 0)*-5. Let n be (-23)/p + (-1)/2. Let v be 16/(-18)*(-3)/n. Which is greater: v or 1? 1 Let r = -39.96 + 36. Let k = 0.04 - r. Let i = k - 4. Does i = -1/3? False Suppose 0*a - 3*a + 11 = 5*y, 11 = y + 5*a. Let c be (0 - y) + (-2 - -1). Which is smaller: c or 4? c Let k be 5/(-2)*(-156)/30. Which is greater: 14 or k? 14 Let q = 48 - 48. Which is smaller: q or 1/52? q Let j = 129 + -131. Is 2 greater than j? True Let l be 1/(-2)*(-6)/9. Let p = -8 + 2. Let m be ((-3)/p)/((-1)/2). Is m less than or equal to l? True Suppose 5*o + v = 35, 3*v - 6*v + 3 = -2*o. Suppose 0 = 3*l - 4 - 11. Which is smaller: o or l? l Let f be 1 + ((-155)/(-50))/((-8)/10). Which is smaller: -4 or f? -4 Suppose 0 = -3*a + 2*n + 11, 3*a - n - 7 = 3. Suppose 0 = -a*b - 0*b. Is 5/6 > b? True Let t be (-2)/(-7) - (-5)/7. Let j(s) = 3 - s**2 - 3 - 2*s + 1 + s**3. Let c be j(2). Is c > t? False Let a(b) = b. Let d be a(2). Let f be d + (-24)/(1 + -5). Is 9 smaller than f? False Let u(y) = -y**3 - y**2 - 4*y - 2. Let w be u(-3). Let v = w + -12. Suppose -2*o = -4*f + v, 7 = -f - 5*o - 0. Is 3 at most f? True Suppose -2*s - 5 - 1 = 0. Which is greater: -4 or s? s Let u = -80 + 77.5. Which is bigger: -0.1 or u? -0.1 Let r be 2/6 + (-2)/2. Let j be 2*(0 - -1)*-2. Let b be -2 + (-4)/j*0. Is r >= b? True Let l = -14 - -18. Let c = 4 + -8. Let g = l + c. Which is smaller: g or 1/5? g Let a(n) = -3 + 1 + 2*n**2 + 3 + 0*n**2 + 3*n. Let w be a(-2). Suppose 6*h - 3 = 3*h + l, -w*h + 4*l = -12. Is 1/2 != h? True Let q = 1 - 5. Let d = -0.15 + -5.85. Let v = q - d. Which is greater: 0.1 or v? v Suppose -5*x - 2*c - 16 = 0, 0 = c - 6*c - 15. Let n(o) = -o**3 - 9*o**2 + 10*o + 3. Let s be n(-10). Suppose -6 + 0 = s*f. Is x < f? False Let v = -21 + 16. Which is bigger: -6 or v? v Let k(x) = x - 2. Let v be k(6). Let s = 19 - 37. Let i be s/v - 9/(-6). Which is smaller: -1 or i? i Suppose 0 = z - 2*z. Let r(m) = m**2 - 8*m + 4. Let j be r(7). Let d = j + z. Which is smaller: d or -2? d Let z(l) = 11*l + 1. Let m be z(1). Suppose -m = -3*o + q, -4*q = -0*o - o + 4. Let x be (-3)/o + (-19)/(-20). Is x greater than -1? True Let g(b) = -b**2 + 12*b - 26. Let c be g(12). Which is bigger: c or -24? -24 Let n be 4/(-16) - 14/8. Let b = -8 - -11. Suppose -d - 5 = b*g + 3, 0 = -g + d - 8. Which is greater: n or g? n Let n be 1/(-3 - 12/(-2)). Is 1/10 <= n
{ "pile_set_name": "DM Mathematics" }
t replacement from cccmbcb. 12/35 Calculate prob of picking 2 c when two letters picked without replacement from {c: 8, q: 2, x: 2, t: 2}. 4/13 Three letters picked without replacement from kwekeeyedyweke. What is prob of picking 1 w and 2 y? 1/182 Three letters picked without replacement from {a: 4, g: 3, x: 2}. Give prob of picking 2 x and 1 a. 1/21 Four letters picked without replacement from fghfdgivdhiidihf. Give prob of picking 2 g and 2 d. 3/1820 Two letters picked without replacement from mmmsmssshmmshmummhs. What is prob of picking 1 u and 1 h? 1/57 Calculate prob of picking 1 z and 1 c when two letters picked without replacement from tptkkttthtzthttckhz. 2/171 What is prob of picking 2 c when two letters picked without replacement from ccccaaccccccaccccc? 35/51 Three letters picked without replacement from {u: 1, q: 2, y: 2, b: 1, c: 1, x: 1}. Give prob of picking 1 u, 1 y, and 1 c. 1/28 Two letters picked without replacement from {r: 1, u: 2, j: 1}. What is prob of picking 1 r and 1 j? 1/6 What is prob of picking 3 y and 1 f when four letters picked without replacement from ctcytyfcytffyftff? 6/595 Two letters picked without replacement from {i: 4, j: 2, q: 1, c: 3, z: 4}. What is prob of picking 1 q and 1 i? 4/91 Calculate prob of picking 1 u and 1 g when two letters picked without replacement from ugqjfvq. 1/21 What is prob of picking 3 z and 1 p when four letters picked without replacement from npzpzzz? 8/35 What is prob of picking 1 w and 2 o when three letters picked without replacement from {w: 10, o: 6, m: 2}? 25/136 Calculate prob of picking 1 v and 2 x when three letters picked without replacement from {m: 3, s: 1, u: 1, v: 2, w: 2, x: 8}. 7/85 Two letters picked without replacement from cccccqccqcccccccccc. What is prob of picking 1 c and 1 q? 34/171 What is prob of picking 1 k and 1 j when two letters picked without replacement from jefkefflll? 1/45 What is prob of picking 2 i when two letters picked without replacement from jiiijijiijiij? 14/39 What is prob of picking 2 x when two letters picked without replacement from xxxxxxyxxxxxxxxxxxxx? 9/10 Calculate prob of picking 1 a, 1 n, and 1 b when three letters picked without replacement from {i: 7, n: 1, a: 1, b: 7, j: 3}. 7/969 Three letters picked without replacement from ndnzm. Give prob of picking 2 n and 1 z. 1/10 Two letters picked without replacement from {g: 1, d: 4, f: 1, t: 7}. Give prob of picking 1 d and 1 g. 2/39 What is prob of picking 1 p and 2 w when three letters picked without replacement from wpwpppwwpwppp? 40/143 What is prob of picking 2 d when two letters picked without replacement from {b: 7, d: 5}? 5/33 Two letters picked without replacement from xuxuxux. Give prob of picking 2 u. 1/7 What is prob of picking 2 i and 1 r when three letters picked without replacement from {r: 2, i: 5}? 4/7 Two letters picked without replacement from {v: 4, i: 1, u: 3, b: 2, s: 1}. What is prob of picking 1 i and 1 v? 4/55 Calculate prob of picking 3 f when three letters picked without replacement from eefff. 1/10 Calculate prob of picking 1 s and 1 a when two letters picked without replacement from wmamnunanmus. 1/33 Two letters picked without replacement from {h: 1, k: 4, l: 2, q: 1, d: 2}. What is prob of picking 1 d and 1 q? 2/45 What is prob of picking 3 v when three letters picked without replacement from {v: 4, c: 5, f: 7}? 1/140 Three letters picked without replacement from rkmjrmykkrmmkrrrr. What is prob of picking 2 k and 1 m? 3/85 Two letters picked without replacement from {k: 1, t: 2, w: 2, e: 2, l: 1}. What is prob of picking 1 k and 1 w? 1/14 Calculate prob of picking 2 s and 1 j when three letters picked without replacement from sjsjj. 3/10 Calculate prob of picking 4 h when four letters picked without replacement from hhhthdddfddddh. 5/1001 Calculate prob of picking 1 h, 1 y, and 1 g when three letters picked without replacement from vfhvgyk. 1/35 What is prob of picking 1 u and 2 y when three letters picked without replacement from yeuyyeeuyeeyypu? 9/91 What is prob of picking 1 n and 1 x when two letters picked without replacement from {f: 1, x: 3, n: 2, k: 2, z: 2, s: 2}? 1/11 What is prob of picking 3 n when three letters picked without replacement from {j: 1, s: 2, n: 4, x: 1, g: 1}? 1/21 Four letters picked without replacement from vttxbvvvvvxx. What is prob of picking 2 t and 2 x? 1/165 Two letters picked without replacement from {l: 1, j: 3}. Give prob of picking 2 j. 1/2 Four letters picked without replacement from pgzpppggpfnpgmggnppp. Give prob of picking 1 p, 1 f, 1 z, and 1 m. 3/1615 Calculate prob of picking 1 k and 1 b when two letters picked without replacement from kbhvvbhbbt. 4/45 Three letters picked without replacement from {m: 3, p: 4}. Give prob of picking 3 p. 4/35 Two letters picked without replacement from {m: 1, w: 1, c: 1, d: 1, n: 1}. Give prob of picking 1 d and 1 c. 1/10 What is prob of picking 1 v and 1 m when two letters picked without replacement from {o: 1, v: 4, m: 6, q: 3}? 24/91 Three letters picked without replacement from {d: 1, h: 2, k: 6, v: 3}. What is prob of picking 1 v, 1 d, and 1 h? 3/110 Two letters picked without replacement from ofoiroyrpyiyiroffriy. Give prob of picking 1 i and 1 y. 8/95 Four letters picked without replacement from mmgdmmmmmgnmgmgnnmm. Give prob of picking 1 d, 2 m, and 1 n. 55/1292 Calculate prob of picking 1 a and 1 p when two letters picked without replacement from {a: 4, m: 2, p: 4}. 16/45 What is prob of picking 3 s when three letters picked without replacement from sscsjscqssqq? 1/11 What is prob of picking 2 k, 1 p, and 1 s when four letters picked without replacement from kjfpksj? 1/35 Two letters picked without replacement from {u: 8, k: 1, d: 8}. What is prob of picking 1 k and 1 u? 1/17 Two letters picked without replacement from atttattaatt. Give prob of picking 1 t and 1 a. 28/55 Two letters picked without replacement from {f: 3, g: 1, l: 5, h: 1}. Give prob of picking 2 f. 1/15 Calculate prob of picking 1 s, 1 f, 1 c, and 1 y when four letters picked without replacement from {o: 7, c: 2, s: 1, t: 1, y: 1, f: 5}. 1/238 Three letters picked without replacement from rxdmddxxrdl. Give prob of picking 1 m, 1 l, and 1 x. 1/55 Four letters picked without replacement from {j: 1, s: 3, k: 4, o: 5, g: 1, v: 4}. Give prob of picking 2 s and 2 o. 1/102 What is prob of picking 1 p, 1 o, and 1 h when three letters picked without replacement from motwhwp? 1/35 Four letters picked without replacement from {h: 1, w: 1, o: 2, v: 4, f: 3}. Give prob of picking 1 h, 1 f, and 2 v. 3/55 Three letters picked without replacement from xlvpppjjhxllvxxxpx. What is prob of picking 1 v and 2 x? 5/136 Two letters picked without replacement from {x: 1, r: 1, o: 1, t: 2, j: 1, c: 1}. What is prob of picking 1 r and 1 j? 1/21 What is prob of picking 1 j, 1 x, and 2 q when four letters picked without replacement from {d: 6, l: 1, x: 2, q: 2, j: 1}? 2/495 Calculate prob of picking 1 b and 1 p when two letters picked without replacement from {b: 1, p: 1, j: 1}. 1/3 Four letters picked without replacement from ryryrryryyrprrrprrr. What is prob of picking 4 y? 5/3876 Four letters picked without replacement from lhpplphphppllp. What is prob of picking 1 h and 3 l? 12/1001 Three letters picked without replacement from {b: 1, a: 1, c: 2, o: 1}. Give prob of picking 1 a, 1 o, and 1 c. 1/5 What is prob of picking 1 l and 1 y when two letters picked without replacement from ywwslwysycyjwjljwsw? 8/171 Two letters picked without replacement from {y: 2, z: 1, c: 4, s: 9}. Give prob of picking 1 z and 1 y. 1/60 What is prob of picking 1 f and 1 u when two letters picked without replacement from {f: 3, u: 2, v: 1, w: 6}? 1/11 Two letters picked without replacement from {x: 3, b: 1}. What is prob of picking 1 x and 1 b? 1/2 What is prob of picking 1 q and 2 h when three letters picked without replacement from hhhqqqo? 9/35 Two letters picked without replacement from {c: 1, p: 3, o: 1}. Give prob of picking 1 c and 1 p. 3/10 What is prob of picking 1 x and 1 y when two letters picked without replacement from {x: 13, y: 5}? 65/153 Two letters picked without replacement from mdsui. Give prob of picking 1 m and 1 s. 1/10
{ "pile_set_name": "DM Mathematics" }
+ ((-1)/(-4) - 533/84). Suppose -4*x - 24 = -x. Which is the smallest value? (a) w (b) x (c) 7 b Let v = 63 + -57. Let p be 24/(-36) + 40/v. Let n be -1 + 1 + 2/(-17). Which is the third smallest value? (a) p (b) -5 (c) n (d) -0.2 c Let t = -0.21037 - -0.01037. What is the fourth biggest value in -11/3, t, 4/3, -4, -0.4? -11/3 Let k(g) = -81*g - 193. Let s be k(12). What is the third smallest value in 2, -0.3, s? 2 Let m = 1773 - 1773.3. Which is the biggest value? (a) 695 (b) m (c) 1 a Let l = -356684.5 - -356690. Let k = 3/4 - 37/44. What is the third smallest value in -5, l, k? l Let h = -6.103 + -13.897. What is the third biggest value in h, -0.4, 5/2? h Suppose 6 = 3*v, -v = 3*s + 2*v - 9. Let t be (-5)/(-45)*(s - 2). What is the third smallest value in 2/7, -0.8, t, -3? t Let z = 0.003 + -3.003. Let c = -920.2 - -908. What is the third smallest value in c, -4/3, z? -4/3 Suppose m - 39 = -2*o, -m - 5*o + 45 = 3. Let k = 230.5 + -228.5. Which is the biggest value? (a) -1/11 (b) k (c) m c Let u = 3476 + -3473. Let w = 47/172 + -1/43. What is the second biggest value in 1/3, 1, u, w? 1 Let t be 4/3*(-116)/(-145). Let d = -49/60 + t. What is the smallest value in -3/7, d, -8, 3/4? -8 Let w = -5.269 + 4.969. What is the biggest value in w, -3, -0.1, -2/5, -128? -0.1 Let z = 3102 + -3101.5. Which is the fourth biggest value? (a) 9 (b) 2/7 (c) -3 (d) 4 (e) z b Let l = 2.0027 + -5.0027. What is the fifth smallest value in l, 4, -0.3, -4, -6? 4 Suppose 4*b = -2*r - 4, 16*r - 13*r = -3*b - 9. Let q be r - -19 - 5 - 6. Let k = 43 + -343/8. What is the third smallest value in k, 0, q? q Let k = 1.209 + -4.209. What is the fifth smallest value in k, 0, -660, -0.2, -0.4? 0 Suppose 5*d - 7 = -2*j, -4*j + d = -9*j + 6. Let i be (2/((-16)/8))/(j + 2). What is the second smallest value in 2/13, -0.3, i, -6? i Suppose -2*j + 28 = -74. Suppose 9 = 12*o - j. Let v = 0.11 - -0.29. What is the second smallest value in v, o, 2? 2 Let u be 0 - 1*(-4 - -2). Let p = -1.797 + -0.023. Let x = 2.18 - p. What is the second biggest value in x, -4, -0.54, u? u Suppose 25*n - 2 = 4*p + 27*n, -5 = -5*n. Which is the third smallest value? (a) -2 (b) 1 (c) -1.99 (d) p d Let o = -30476.6 - -30477. What is the third biggest value in 5, 0, o? 0 Let c = -0.4 + 4.4. Suppose -1203 - 162 = 7*w. Let s = w - -193. What is the second biggest value in -3/2, c, -1, s? -1 Let o = 4138 - 4143. Which is the second biggest value? (a) -3 (b) o (c) -1/3 (d) 1/18 c Let h(s) = -13*s**3 - 2*s**2 - 5*s - 4. Let i be h(-1). Suppose -4*v - u - 6 = 6, -v = -2*u + i. Which is the third smallest value? (a) -3/2 (b) v (c) -3/5 c Let s be 3/(-20) + (-1)/(-40)*-10. What is the second smallest value in s, 808, -3/5? s Let h(k) = 2*k**3 - 59*k**2 - 31*k + 35. Let y be h(30). Let g = 70 + -69.5. What is the biggest value in -0.13, y, g? y Suppose -5*h - 3*o = -4*h - 6, -3*o + 24 = -h. Let f be (-5)/(30/32) - 92/(-69). Which is the third smallest value? (a) -2 (b) f (c) h (d) 0.04 a Let x be ((-12)/105)/((-1)/5). Let m = -0.114 + 0.914. Let l = 0.4 - m. What is the second smallest value in 0.3, x, l, 4? 0.3 Let c = 3779 + -4436. What is the biggest value in c, -1, 5/4? 5/4 Let s be 3976/355 - 10/1. Let m = -26 + 21. What is the second smallest value in s, m, 1, 1/5? 1/5 Let p be (1 + ((-420)/104)/5)*4/(-5). What is the fourth biggest value in p, -15, -1/2, 4, 5? -1/2 Let z = -0.3735 + -0.0265. Which is the smallest value? (a) z (b) -4 (c) 0.045 b Let z = -0.209 + -1.291. Let x = z + -0.5. Which is the third biggest value? (a) 0 (b) x (c) -0.5 b Let q = 3795.29 - 3780. Let f = q + -15. Let x = f - 7.29. Which is the biggest value? (a) x (b) 0.4 (c) 1/4 (d) 1/6 b Let l be ((-3)/(-2))/((-6)/2). Let d = 34.849 + -35. Let z = 4.849 - d. Which is the third biggest value? (a) -0.02 (b) l (c) z b Suppose 8030 = -29*o + 7972. Let t = 11 + -21/2. What is the second biggest value in 2, t, o? t Let q(m) = -21*m - 1192. Let o be q(-57). Which is the biggest value? (a) o (b) 0.3 (c) -1 (d) -7 a Let k(w) = -13*w - 41. Let h be k(-3). Let j be 18/h*(-4)/(-24). Let p = -1/374 + 757/3366. Which is the second biggest value? (a) p (b) 3 (c) 1 (d) j c Let d = 13948 - 13948. What is the biggest value in 1/6, -17, 1/2, d, -5? 1/2 Let z = -4.069 + -0.931. What is the second smallest value in -2/21, z, 3/5? -2/21 Let o be (-35)/(-15)*4/(-14). Let g = 0 - 0.5. Let i = 2093.5 + -2088.5. Which is the second smallest value? (a) o (b) -20 (c) g (d) i a Let j = -4.5473 - 0.4527. What is the third biggest value in j, 2/7, 4/23? j Suppose -81 = p - 100. Suppose 2*u = 5*d - d + 4, 4*u = -d - p. What is the third biggest value in d, 1, -5, -4? -4 Let l = 95865 + -95861. Let j = -45 + 21. Which is the smallest value? (a) l (b) j (c) -0.3 b Let p = 4310 - 4494. What is the biggest value in -2/3, p, 7? 7 Let z = 24526 + -269788/11. Which is the fourth biggest value? (a) 1 (b) z (c) 2/17 (d) -2/77 b Let u = 13786.92 + -13787. Which is the third biggest value? (a) -8 (b) -23 (c) u b Let q = 14.4 + -15.16. Let o = q + 0.96. Which is the third biggest value? (a) -1.3 (b) -1 (c) o a Let j = 2.98 - -0.02. Let y = 2.8 - j. Let s = 10786 - 10789. What is the second biggest value in 1/6, y, s? y Let j = -0.06 - 0. Suppose -1036*r = -1094*r - 290. Which is the biggest value? (a) 11 (b) r (c) j a Suppose -79*c + 84*c - 550 = 0. Suppose -2*v + 7*v = 5*m + c, -2*m = 5*v + 30. Let i = 0.31 + -0.11. What is the smallest value in -3, m, i? m Let x = 615/2 - 1229/4. Which is the second biggest value? (a) -5 (b) x (c) 1 (d) 0.2 (e) 2/9 b Let y = 0.77385 - 5.73415. Let o = y + -0.0397. What is the biggest value in o, -0.054, 0? 0 Let n be 15/25*(6 - 1). Let j = 1880.98 + -1881. Which is the second smallest value? (a) 0 (b) n (c) j a Let i = -0.4 + 0.3. Suppose 2*u = 4*l, 2*u = -7*l + 10*l. What is the second biggest value in l, i, -75, -3/2? i Let t = -293.3 + 293.6. Let d = 1/109 - -205/1417. Let u = -250/3 - -84. Which is the second smallest value? (a) t (b) u (c) d a Suppose 17 = 9*o - 4*s, 21*o - 26*o = 2*s - 39. What is the biggest value in -1/8, 2/9, o, 0, -0.8? o Let f be (-9 - (-224)/21) + (-4)/2 + 1. Which is the fourth biggest value? (a) f (b) -1/2 (c) 0.3 (d) -41 d Let m = -2.458 + 2.398. Which is the smallest value? (a) -8 (b) -1 (c) m a Let v = 39 - 33. Let p = 596 - 596.4. Let w = -0.05 + 0.45. What is the third smallest value in w, v, p? v Let w = -6705 - -6708. What is the biggest value in 1, w, 5, -9, 2/15? 5 Let u = 4635 + -4630. Which is the second smallest value? (a) u (b) 596 (c) 0.1 a Let x be (-26)/(0/2 - 2). Let p = -715 - -422. Let h = p + 293. Which is the second smallest value? (a) x (b) -0.2 (c) 1 (d) h d Let a be (((-51)/(-459))/(10/(-12)))/(3/15). What is the third biggest value in -2, 4/23, -0.4, a? a Let m = 0.277 - -0.023. Let b = 943.8 - 944. What is the biggest value in m, b, 0.2, 3? 3 Let a be (-32)/960 + (-1)/(-5). What is the biggest value in -0.5, -622, a? a Let g = -90.0578 - -0.0578. Let f = g - -92. What is the biggest value in f, -0.1, -1/6, -4? f Let a = -39 + 29.45. Let y = 9 + a. Let v = y + -0.45. What is the second biggest value in 0, 2/7, v? 0 Let n = -2.9 + 0.9. Let m = 1097/3183 - 12/1061. Which is the third smallest value? (a) 2/9 (b) m (c) n (d) -6 a Let y = 1647 - 1851. What is the third biggest value in 1, y, 5? y Let m = 88.83 + -43.83. Let f = -0.14 + 47.14. Let o = f - m. Which is the biggest value? (a) 1 (b) o (c) 2/5 b Let s = -12285 + 12212.944. Let f = 72 + s. Let r = -3.056 - f. What is the smallest value in -2/5, r, -2/15? r Let w = -22879 - -160156/7. What is the biggest value in 0, 14, w, -160? 14 Let s = 761/5 - 153. Let l = -2.1022004 + 0.1022004. Which is the second smallest value? (a) -1/2 (b) -4 (c) l (d) s c Let w be (-208)/(-36) + 4/18. Suppose w = o + 2*o. Let c be ((-2)/(-10))/(17/(1530/162)). What is the second biggest value in o, -1/5, c? c Let u = -1520 + 1518. Which is the third smallest value? (a) u (b) 2 (c) 59 c Let n = -558.7 - -559. What is the second biggest value in n, 0.9, -2, 0.04? n Let u = 41/4 - 127/12. Let j = 140210 + -140233. What is the fourth biggest val
{ "pile_set_name": "DM Mathematics" }
5419*g*w**2 + 72869*w**2 - 38*w wrt g. 1295419*w**2 Find the third derivative of 12631215*j**3 + 65*j**2 + 17516*j. 75787290 Find the second derivative of 99149750*m**4 - 30615693*m wrt m. 1189797000*m**2 Find the second derivative of 12144766*u**2 + 1338*u + 285. 24289532 Differentiate 6470*c**2*n + 830370501*c**2 - 49522*n**2 wrt n. 6470*c**2 - 99044*n Find the third derivative of -49*d**4*i - 1511560*d**3*q**2 - 1642*d**2*i*q**2 + 4*d**2*i*q - 2*d**2*q**2 + 24*d**2 + 5*i*q**2 wrt d. -1176*d*i - 9069360*q**2 Find the second derivative of 81*h**2*i**2 - 2355*h**2*i*m + 535*h*i**2*m - h*i**2 - 4*i*m - 17*m wrt h. 162*i**2 - 4710*i*m Find the third derivative of -93271213*w**5 + 9*w**2 + 669704*w wrt w. -5596272780*w**2 What is the second derivative of 10112994*a**2*n**3 + 40665*a*n**3 - a - 75*n**2 - 2 wrt a? 20225988*n**3 What is the second derivative of -155018*b**4*j + 171*b**3*j + 12*b + 2*j + 121226 wrt b? -1860216*b**2*j + 1026*b*j What is the third derivative of 48978768*h**3 - 95158*h**2 - 100 wrt h? 293872608 What is the second derivative of 82627844*b**3 + 43*b - 4620557 wrt b? 495767064*b Differentiate 19223878*q**2 - 158201309 with respect to q. 38447756*q What is the second derivative of -1539284408*s**2 - 3*s - 435397674? -3078568816 What is the second derivative of -60246269*x**2 + 278417539*x wrt x? -120492538 What is the first derivative of 134*y**3 + 3325*y**2 + 4*y + 104373210 wrt y? 402*y**2 + 6650*y + 4 Differentiate -m**3 + 9281*m + 5845553 wrt m. -3*m**2 + 9281 What is the second derivative of -10*c*j**3 - 394030*c*j**2 + 126965*c*j - 75*j wrt j? -60*c*j - 788060*c Find the third derivative of 19*x**2*z**3 - 93*x**2*z**2 - x**2*z - 3*x**2 - 359*x*z**3 - x*z**2 - 169*x*z + 136*z**3 + 2*z**2 wrt z. 114*x**2 - 2154*x + 816 Differentiate 61141*f**4 - 68*f**3 - 7*f**2 + 355202876. 244564*f**3 - 204*f**2 - 14*f What is the second derivative of -19001*g**3 - 330*g**2 - 108*g - 24494 wrt g? -114006*g - 660 Find the first derivative of -18*s**2 - 196232*s + 9532808 wrt s. -36*s - 196232 What is the third derivative of 226608887*y**3 - 7517814*y**2 + 8 wrt y? 1359653322 What is the second derivative of 36*h**2*p**3 - 93*h**2*p + 56*h**2 + 6612*h - 523616*p**3 + 2*p wrt p? 216*h**2*p - 3141696*p Find the first derivative of -75*s**3 - 3237*s**2 - 2*s - 9099673. -225*s**2 - 6474*s - 2 Find the third derivative of 31363334*d**3 - 14619507*d**2 wrt d. 188180004 Find the second derivative of -25*c**2*p**3 + 38983424*c**2*p - 11740*c*p**5 wrt p. -150*c**2*p - 234800*c*p**3 Differentiate 291700819*u**2 + 468423691 wrt u. 583401638*u What is the third derivative of -29712*o**5 - 377*o**4 - 257*o**2 - 16947 wrt o? -1782720*o**2 - 9048*o What is the derivative of 277*o**4 - 401842*o**3*u**2 + 1088672*u**2 + 2*u - 2 wrt o? 1108*o**3 - 1205526*o**2*u**2 Find the third derivative of -519782252*t**6 - 7190*t**2 + 10711*t wrt t. -62373870240*t**3 Find the second derivative of 4*i**4*v**2 + 10731*i**3*v**2 + 5*i*v**2 - 13057*i*v - v**2 wrt i. 48*i**2*v**2 + 64386*i*v**2 What is the third derivative of 20176*b**5 + 10*b**4 + 12*b**3 + 2*b**2 + 72*b + 24 wrt b? 1210560*b**2 + 240*b + 72 Find the second derivative of 61077*o**3*v + 67*o**2*v + 13*o*v - o - 47*v - 630 wrt o. 366462*o*v + 134*v Find the first derivative of -6848253*b*d*f - b*f**3 + 2*b*f**2 - 2*d*f**3 + 2*d*f - 5177198*f**3 wrt b. -6848253*d*f - f**3 + 2*f**2 What is the derivative of 2*f**3 - 1072029*f - 4254159 wrt f? 6*f**2 - 1072029 What is the second derivative of 580*c**3*h**3 + 16932*c**3*h + c**3 - 63*c**2 - 860*c*h**3 - h + 1 wrt h? 3480*c**3*h - 5160*c*h What is the derivative of 44016812*v - 33767085 wrt v? 44016812 What is the third derivative of -j**3*t**2 + 5348077*j**3 + 25*j**2*t**2 - 2*j**2 - 757*j*t - 16*t**2 wrt j? -6*t**2 + 32088462 What is the first derivative of -219708718*a*v - 256452886*v wrt a? -219708718*v What is the third derivative of 654*a**3*j*n**5 + 1264*a**3*j*n - 26*a**3 - 12*a*j*n**2 + 6044*j*n**4 - j + n wrt n? 39240*a**3*j*n**2 + 145056*j*n Find the third derivative of -5564391*u**3 - 5073415*u**2 wrt u. -33386346 What is the first derivative of -63522461*b**3*o**3 - o**3 + 16*o**2 + 860809 wrt b? -190567383*b**2*o**3 What is the first derivative of d**2*t + 2*d**2 - 7828*d*t + 245371008*d - 12596*t wrt t? d**2 - 7828*d - 12596 What is the third derivative of 2158*q*z**3 + q*z**2 - 1289*q*z + 3*q - 1819*z**6 + z**2 - 13*z wrt z? 12948*q - 218280*z**3 What is the derivative of -91*c*l**2*v + c*v + 6*c + 10288*l**3*v + 2*v - 785 wrt l? -182*c*l*v + 30864*l**2*v What is the second derivative of -116376627*w**5 - 121451099*w? -2327532540*w**3 What is the second derivative of 13311608*b**2 - 24702844*b? 26623216 Find the third derivative of 94144645*j**3 + 8095*j**2 - 230*j - 1 wrt j. 564867870 What is the third derivative of 218470042*y**3 - 5*y**2 + 5*y - 1724170 wrt y? 1310820252 Find the second derivative of -2636213*a**4 + 2401925*a wrt a. -31634556*a**2 What is the second derivative of 1187119508*q**2*r**2 - 325810*q*r**2 + 70*q*r wrt q? 2374239016*r**2 Find the second derivative of 16272131*k**3 + k**2 + 12137338*k wrt k. 97632786*k + 2 What is the second derivative of -300302465*b**5 - 373684*b + 144 wrt b? -6006049300*b**3 What is the first derivative of 7975638*r**2 + 34299696 wrt r? 15951276*r What is the first derivative of 30825020*y - 13700582 wrt y? 30825020 What is the first derivative of -8288100*g**2 + 7541580 wrt g? -16576200*g What is the third derivative of -7462698*b*h**4 + 3*b*h**3 - 278*b*h**2 + 474*b*h + 9 wrt h? -179104752*b*h + 18*b Find the third derivative of -678*g**6 + 83636*g**3 + 43932*g**2 - g + 310 wrt g. -81360*g**3 + 501816 What is the derivative of i*j**2 - 4481809*i*j + 77333*i + 1357 wrt j? 2*i*j - 4481809*i Differentiate 8276714*h + 732465 with respect to h. 8276714 What is the second derivative of -7*o**3 + 753009*o**2 - 115162669*o? -42*o + 1506018 Find the third derivative of 30373270*f**5 - 5*f**4 + 12*f**2 + 15124639*f. 1822396200*f**2 - 120*f What is the second derivative of -31*y**4 + 951*y**3 - 88*y**2 + 6*y + 216738 wrt y? -372*y**2 + 5706*y - 176 What is the derivative of k**4 - 1613*k**2 - 1943*k + 29598855 wrt k? 4*k**3 - 3226*k - 1943 What is the third derivative of 227442963*o**4 + o**2 + 108449223? 5458631112*o Find the second derivative of 5*n**4 + 28*n**3 - 16304*n**2 - 20399969*n. 60*n**2 + 168*n - 32608 What is the third derivative of 2*u**2*x**5 + 46*u**2*x - 39273*u**2 - 5436430*x**6 - 2*x**2 wrt x? 120*u**2*x**2 - 652371600*x**3 Find the second derivative of -40803343*b**2*f**2 + 144866*b*f**2 - 440*b wrt b. -81606686*f**2 Differentiate 290*g*t**2 - 32*g*t - g - 836324*t**2 - 4*t wrt g. 290*t**2 - 32*t - 1 Find the third derivative of -1433*a**5 - 273*a**4 - 14*a**3 - 8602071*a**2 wrt a. -85980*a**2 - 6552*a - 84 What is the third derivative of -5*w**6 - 222*w**4 + 295*w**3 + 82184758*w**2? -600*w**3 - 5328*w + 1770 Find the second derivative of -489101842*t**2 - 894147852*t. -978203684 What is the derivative of -2*o*r**2 - 19150636*o*r - 79621436*r**2 + r wrt o? -2*r**2 - 19150636*r What is the second derivative of 49504348*x**4 + 604095*x + 42 wrt x? 594052176*x**2 What is the third derivative of 27224*i**6 - 1488*i**3 + 117158788*i**2? 3266880*i**3 - 8928 Find the second derivative of -50058035*f**4 - 3*f**3*o**3 - 2*f*o**3 - 71*f*o**2 - 2*f*o + 682*o**3 wrt f. -600696420*f**2 - 18*f*o**3 Find the first derivative of -943452*g**2*q**4 + 310*g**2 - 11*g*q**2 + 5932*g + 7 wrt q. -3773808*g**2*q**3 - 22*g*q Differentiate -13714820*w + 84982765 wrt w. -13714820 What is the second derivative of -5133*n**4 - 464*n**3 - 7*n**2 - 931454936*n wrt n? -61596*n**2 - 2784*n - 14 Find the third derivative of 36073*k**4*r**2 - 13*k**4 + 2*k**2*r**2 - k**2*r + 27*k**2 - 6*k*r - 39*r**2 wrt k. 865752*k*r**2 - 312*k Find the second derivative of -11871243*m*r**2 + 710879*m + r**2 + 32*r wrt r. -23742486*m + 2 Differentiate 111418589*i - 141908037 wrt i. 111418589 What is the derivative of 80680116*d**3 + 25721419 wrt d? 242040348*d**2 What is the second derivative of 18573*j**4 + 3163*j**2 + 121103323*j? 222876*j**2 + 6326 Find the third derivative of -6255668*j**3 + 675189*j**2 wrt j. -37534008 What
{ "pile_set_name": "DM Mathematics" }
5? 295 Calculate the highest common divisor of 375348 and 372. 372 What is the highest common factor of 22 and 48466? 22 Calculate the highest common divisor of 391468 and 62. 62 What is the highest common factor of 279 and 178839? 279 Calculate the greatest common factor of 1680 and 96320. 560 What is the highest common factor of 1232 and 1482712? 616 What is the greatest common factor of 3025332 and 1368? 684 What is the highest common divisor of 96 and 166032? 48 Calculate the highest common factor of 10102 and 10. 2 What is the greatest common divisor of 12072 and 248? 8 Calculate the greatest common factor of 1600 and 9000. 200 What is the greatest common divisor of 53 and 5594945? 53 What is the greatest common divisor of 8216 and 16? 8 What is the highest common factor of 651 and 546? 21 Calculate the highest common factor of 31251 and 22. 11 Calculate the highest common factor of 11188686 and 17. 17 Calculate the greatest common divisor of 65556 and 11664. 108 Calculate the greatest common factor of 95976 and 24. 24 What is the greatest common divisor of 1401036 and 4368? 1092 What is the highest common factor of 296060 and 260? 20 What is the highest common factor of 72 and 198114? 6 What is the highest common divisor of 1587761 and 35? 7 Calculate the highest common divisor of 80 and 234720. 80 Calculate the greatest common factor of 9417 and 10320. 129 What is the highest common divisor of 2484849 and 291? 291 What is the greatest common divisor of 3086822 and 862? 862 Calculate the highest common divisor of 1514842 and 42. 14 Calculate the highest common divisor of 3465 and 85365. 315 Calculate the highest common factor of 337565 and 905. 905 Calculate the greatest common factor of 310 and 10615. 5 What is the greatest common factor of 49 and 4312? 49 Calculate the highest common factor of 20898 and 5031. 387 What is the greatest common divisor of 6408 and 88? 8 What is the highest common divisor of 165273 and 356? 89 Calculate the highest common factor of 379246 and 103. 103 What is the highest common factor of 61997 and 76? 19 Calculate the highest common factor of 8431 and 49. 1 Calculate the greatest common divisor of 3443 and 253. 11 Calculate the highest common factor of 67104 and 45. 9 Calculate the greatest common divisor of 1141 and 9079. 7 What is the greatest common factor of 184 and 1527? 1 What is the greatest common divisor of 2905 and 560? 35 Calculate the greatest common divisor of 27595 and 5. 5 What is the highest common factor of 5216 and 3784? 8 What is the highest common factor of 24376 and 173956? 1108 What is the highest common divisor of 69 and 506483? 23 What is the greatest common divisor of 1661971 and 3009? 1003 What is the greatest common factor of 20 and 13285? 5 Calculate the highest common divisor of 6918 and 102. 6 What is the highest common divisor of 3576118 and 7? 7 Calculate the greatest common factor of 1332870 and 550. 110 Calculate the greatest common divisor of 35986 and 3192. 38 What is the greatest common divisor of 176 and 857098? 22 What is the greatest common factor of 272 and 21301? 17 Calculate the highest common factor of 1098 and 20496. 366 What is the greatest common divisor of 144 and 250128? 144 What is the highest common divisor of 5346 and 6039? 99 What is the greatest common factor of 486 and 509706? 54 Calculate the highest common divisor of 130 and 749255. 65 What is the highest common divisor of 15861 and 844365? 933 What is the highest common divisor of 153 and 4527? 9 Calculate the greatest common divisor of 408 and 843. 3 Calculate the greatest common factor of 2091 and 1934872. 697 Calculate the highest common factor of 45684 and 37788. 564 Calculate the highest common divisor of 13819 and 1651. 13 What is the highest common divisor of 208 and 223574? 26 Calculate the greatest common divisor of 682 and 27632. 22 Calculate the highest common factor of 27787 and 296. 37 What is the highest common divisor of 2863569 and 188? 47 Calculate the greatest common factor of 64121 and 111. 37 What is the greatest common factor of 3536 and 1612? 52 Calculate the greatest common factor of 546 and 166218. 78 What is the greatest common factor of 2263 and 1387? 73 Calculate the highest common divisor of 3240 and 5508. 324 Calculate the highest common divisor of 70599 and 4848. 303 What is the greatest common divisor of 2641 and 1786? 19 What is the greatest common factor of 1037 and 1479? 17 What is the greatest common divisor of 646 and 191114? 34 What is the highest common factor of 42 and 2685018? 42 Calculate the greatest common factor of 30661 and 3. 1 What is the highest common divisor of 504994 and 294? 98 Calculate the highest common factor of 14 and 123851. 7 Calculate the greatest common divisor of 9040 and 50. 10 Calculate the highest common divisor of 37340 and 170. 10 What is the highest common factor of 37291 and 356? 89 Calculate the greatest common divisor of 1003 and 255935. 17 What is the greatest common divisor of 385 and 1624315? 385 Calculate the greatest common divisor of 3 and 38949. 3 What is the greatest common divisor of 26 and 331253? 13 Calculate the greatest common divisor of 74932 and 312. 52 What is the highest common factor of 4736 and 55168? 128 What is the highest common divisor of 105 and 3577728? 21 Calculate the greatest common factor of 144 and 19440. 144 What is the highest common divisor of 32292 and 65? 13 Calculate the highest common divisor of 1950 and 7566. 78 What is the highest common divisor of 128248 and 352? 8 What is the highest common factor of 447525 and 27? 27 Calculate the greatest common divisor of 504365 and 3725. 745 Calculate the highest common divisor of 88 and 155254. 22 Calculate the greatest common factor of 9667 and 7. 7 What is the greatest common divisor of 192 and 64584? 24 What is the highest common factor of 20248 and 10? 2 What is the greatest common factor of 75 and 1796610? 15 What is the greatest common divisor of 1080048 and 8? 8 Calculate the greatest common factor of 630 and 51390. 90 Calculate the greatest common factor of 2028 and 195. 39 Calculate the greatest common divisor of 1699 and 19. 1 What is the highest common divisor of 4131 and 34992? 243 Calculate the highest common factor of 20095 and 15. 5 Calculate the greatest common divisor of 301 and 237833. 43 Calculate the greatest common factor of 532297 and 215. 43 Calculate the greatest common factor of 14 and 273602. 14 Calculate the highest common factor of 179959 and 29757. 1417 What is the greatest common divisor of 52728 and 48? 24 What is the greatest common factor of 352 and 6182? 22 Calculate the greatest common divisor of 207 and 51399. 9 What is the greatest common factor of 6 and 21339? 3 Calculate the greatest common factor of 2640 and 1095. 15 What is the greatest common divisor of 339696 and 9072? 1008 Calculate the greatest common divisor of 17241 and 6. 3 What is the highest common factor of 221979 and 1281? 183 What is the greatest common divisor of 4003814 and 157? 157 Calculate the highest common divisor of 98 and 13174. 14 What is the highest common factor of 668091 and 86? 43 What is the greatest common factor of 16287 and 1869? 267 What is the greatest common factor of 565 and 395? 5 What is the highest common factor of 1110 and 1045250? 370 Calculate the greatest common factor of 1919 and 8181. 101 Calculate the greatest common divisor of 2139 and 2967. 69 What is the highest common factor of 30918 and 18? 6 What is the highest common factor of 646 and 865317? 323 What is the highest common factor of 367 and 179096? 367 What is the highest common factor of 6078 and 336? 6 What is the highest common divisor of 104 and 1470820? 52 Calculate the greatest common divisor of 1536 and 496. 16 Calculate the greatest common divisor of 7334 and 18142. 386 What is the greatest common divisor of 2790 and 84010? 310 What is the highest common factor of 217396 and 139? 139 What is the greatest common divisor of 738 and 22058? 82 Calculate the highest common factor of 309126 and 12. 6 What is the highest common factor of 324 and 469692? 108 What is the greatest common factor of 1160 and 50895? 145 What is the highest common factor of 621 a
{ "pile_set_name": "DM Mathematics" }
**2 - 3*p - 18. Let y be k(8). Let v = y - -43. Is v a multiple of 5? True Suppose 8*l - 761 = 3*l + 3*d, 5*l + d = 773. Is 7 a factor of l? True Let g(r) be the third derivative of -r**4/8 - 3*r**2. Let z be g(4). Let i(t) = -3*t - 14. Is i(z) a multiple of 11? True Let i(o) = 3*o - 7. Suppose -5*t + 22 = -23. Does 4 divide i(t)? True Suppose -6*g + 2*g - 5*o + 1609 = 0, 0 = -5*o + 25. Does 13 divide g? False Let z = -198 + 328. Suppose -2*c + 8 = 2. Suppose -2*x + z = c*x. Is x a multiple of 13? True Let o be (-2)/(-6)*-3*0. Suppose 0 = -5*a + 5 - o, -29 = -w + 2*a. Let p = w + -26. Is p a multiple of 4? False Suppose 0 = -3*d + 10 - 4. Suppose -4*n - 83 = -547. Suppose -d*r = -l - l - n, l = -5. Is 14 a factor of r? False Suppose -m = -3 + 2. Is 11 a factor of ((-45)/(-10) + -3)/(m/84)? False Suppose -3965 = -3*n - 4*x, 5*n + 0*x - 2*x - 6643 = 0. Is 97 a factor of n? False Suppose 4*y = -5*f + 1814, 2*y + 3*f - 908 = -0*y. Is 50 a factor of y? False Suppose -3*u - 71 + 74 = 0. Does 8 divide (-674)/(-10) + 2/(-5) - u? False Suppose 3*x + 203 = d, -2*d = 2*d - 8. Let i = -12 - x. Suppose 11 = -4*g + 4*z + i, -3*z + 15 = 0. Does 4 divide g? True Let i(b) = -2*b + 20. Let f be i(10). Let r(j) = f + 10*j + j**2 - 2 + 8 + 5. Is 11 a factor of r(-10)? True Suppose -4*h = -85 + 5. Suppose -h*k + 155 = -15*k. Is k a multiple of 8? False Let r(s) be the first derivative of -3*s**2 - 36*s + 5. Is r(-14) a multiple of 9? False Let m(j) = -2*j + 20. Let f = 13 - 3. Let w be m(f). Suppose 20 = 4*l - w*l. Is 5 a factor of l? True Let m(w) = 3*w**3 + 22*w**2 - 5*w - 13. Let g(d) = -d**3 - 7*d**2 + 2*d + 4. Let j(a) = 11*g(a) + 4*m(a). Is 29 a factor of j(-9)? False Does 40 divide (174 - -8)/(1/2)? False Suppose 1 + 35 = 3*v. Suppose 4*f - 544 = -w, 0 = -2*w + 4*f - 7*f + 1088. Is 4/(-12) + w/v a multiple of 15? True Let s(w) = 41*w**2 - 17*w + 6. Is 12 a factor of s(3)? True Is 3 a factor of ((69/(-6))/23)/((-2)/2540)? False Let t(x) = 16*x + 26. Let y be t(5). Let d = -45 + y. Is 3 a factor of d? False Suppose 0 = v + 2*v - 9. Suppose -255 = -2*f + v*w, 3*w - 345 = -2*f - f. Suppose -k = -6*k + f. Is 5 a factor of k? False Let z = 197 + 91. Is 16 a factor of z? True Let v = 11 + -9. Suppose g - v*g = -70. Suppose -3*x - 51 = -4*w, 4*x - g = -5*w - 14. Does 10 divide w? False Suppose 51 = z - 3*c, 387 - 160 = 5*z - c. Suppose -13*y - z = -16*y. Is y a multiple of 4? False Let p(s) = -s - 8. Let i be p(-8). Suppose 6*h + i*h = 504. Is h a multiple of 17? False Is 9 a factor of 180 - (2 - (0 - -11))? True Let l = 528 + -324. Is l a multiple of 51? True Let o(g) = g**2 - 12*g + 6. Let f be o(12). Suppose j = f + 13. Suppose 5*c = -3*p + 89, -2*c + j + 4 = -3*p. Does 8 divide c? True Does 9 divide ((-468)/5)/(2/(-5))? True Let y(q) = 4*q**3 - 7*q**2 - 8*q + 3. Let x(i) = 2*i**3 - 3*i**2 - 4*i + 1. Let w(j) = -5*x(j) + 2*y(j). Let m(s) = -s + 4. Let d be m(7). Does 13 divide w(d)? True Let u = -45 + -5. Let z = 256 + u. Is 30 a factor of z? False Let p = 12 + -9. Suppose 4*a - 4 = 4*z + 32, z = -a + p. Suppose 0 = a*j - 3*j - 138. Is j a multiple of 20? False Let t(m) = -39*m**2 - 18*m + 8. Let d(u) = 13*u**2 + 6*u - 3. Let i(r) = -11*d(r) - 4*t(r). Does 10 divide i(-5)? False Suppose 2*m + 443 = 3*f, 0 = -2*f - 4*m - 51 + 357. Is f a multiple of 62? False Let a(m) be the third derivative of -m**5/30 - m**4/12 + 3*m**3/2 - 7*m**2. Let t be a(-5). Let g = t - -66. Does 35 divide g? True Let s(a) = a**3 + 5*a**2 - 8*a + 5. Suppose k = 5*x - 19, 4*x - 2*k - 12 = 2*k. Does 12 divide s(x)? False Let h(a) be the second derivative of -13*a**7/840 - a**6/180 + a**4/24 + a**3/2 - 7*a. Let k(l) be the second derivative of h(l). Is 7 a factor of k(-1)? False Suppose 561 - 3451 = -10*o. Is o a multiple of 13? False Let b(w) = 23*w**2 - 25*w + 7. Is 13 a factor of b(5)? False Let s be 33/44 + 6/(-8). Let n(d) = -2*d + 6. Let t be n(s). Suppose -l - l + t = 0. Does 2 divide l? False Suppose -373 = 3*j - r, 0*r = -2*j - 5*r - 277. Let w = 322 + j. Is w a multiple of 28? True Suppose -2011 = -4*w + 2*k - 687, -1340 = -4*w - 2*k. Is 40 a factor of w? False Suppose -18 = 3*f - 2*f. Let v = f + 26. Does 2 divide v? True Suppose 0 = 3*a - 9*a + 18. Let c = -5 + 8. Suppose 3*z - 10 = 5*x, -a*z + c*x = 2*x - 26. Is 5 a factor of z? True Let c(s) = -s**3 + s**2 + s + 246. Let q be c(0). Suppose -3*n = -5*n + q. Does 41 divide n? True Is 138 + 4*(-12)/16 a multiple of 12? False Suppose -4*i = -o + 19, 3*o - 13 = 2*o + i. Suppose -g + 4*q + 9 = -o, -3*q - 87 = -3*g. Is g a multiple of 16? True Suppose -5*l + 44 + 146 = 4*i, -225 = -5*l + 3*i. Suppose 2*o - l + 16 = 0. Does 7 divide o? False Suppose 28*z = 20*z + 3704. Is z a multiple of 12? False Let x(j) be the second derivative of -j**3 - 24*j**2 + j - 12. Is x(-13) a multiple of 16? False Let n(d) = -d**2 + d - 194. Let g(j) = -2*j - 22. Let c be g(-11). Let b be n(c). Let q = 284 + b. Is q a multiple of 30? True Let p(u) = 33*u + 1729. Does 65 divide p(0)? False Let r(m) = -2*m**3 - 4*m**2 + m + 1. Suppose c = -3*g - 18, -4*c = 2*g - 5*c + 7. Is 34 a factor of r(g)? False Suppose 0 = -3*m + 2*q + 1 + 18, -28 = -m + 5*q. Is 4 a factor of (m + 18/(-10))/((-6)/(-20))? True Suppose 5*r = 4*n - 11, -r - 2 - 1 = 0. Let m be (2 - 2)/(n + 3). Suppose -s + 94 = s - 2*x, s + x - 39 = m. Is 25 a factor of s? False Let m(v) = -104*v - 6. Let d(f) = 69*f + 4. Let l(u) = 8*d(u) + 5*m(u). Let b be l(3). Suppose -b = -6*j + 58. Is j a multiple of 7? False Is (-100)/3*102/(-68) a multiple of 10? True Let i(a) = -a**2 - 12*a + 4. Let t = -32 + 23. Does 14 divide i(t)? False Let k(g) = -g**2 + 3*g - 2. Let l be ((-120)/(-45))/((-2)/(-3)). Let z be k(l). Let a(s) = s**2 + 3*s - 6. Does 6 divide a(z)? True Suppose a = -5*d + 199, 4*a - 31*d - 750 = -28*d. Does 9 divide a? True Suppose 0 = 59*d + 20*d - 229811. Does 15 divide d? False Let n(g) = 5*g**3 - g**2 + g - 2. Let k be n(2). Suppose 0 = -z + 4*z - k. Suppose -i + z + 5 = 0. Is i a multiple of 17? True Let z = 973 - 450. Is z a multiple of 12? False Suppose 0*w + 5*w + 130 = -4*c, -2*c - 56 = -2*w. Let s = 32 + c. Suppose -3*r + 470 = s*r. Is r a multiple of 29? False Let p = 674 - -153. Is p a multiple of 48? False Let y(q) = q**3 - 35*q**2 + 7*q - 69. Does 2 divide y(35)? True Let u = -34 - -38. Suppose -v + 52 = -4*g, v + 5*g = 66 + u. Does 15 divide v? True Does 14 divide ((6 + -5)*13)/(2/46)? False Suppose -5*l - 3289 = -2*w, 28*l + 1 = 29*l. Is 9 a factor of w? True Is (164*17)/(-4)*(-15 - -12) a multiple of 17? True Let p(m) be the third derivative of m**2 + 1/2*m**3 - 9/8*m**4 + 0*m + 0. Does 19 divide p(-2)? True Let z(l) = -l**3 + l**2 - 2*l + 5. Let n be z(0). Suppose n*j + 5*b - 495 = 0, 0 = -2*b - 2 + 6. Is j a multiple of 21? False Let y(h) = h**3 + 4*h**2 - h + 4. Let u be y(-3). Let m(t) = 8*t + 376. Let c be m(-48). Let j = u - c. Is 12 a factor of j? True Let q(b) = b**3 + 2*b**2 + 8*b - 6. Let l(o) = -2*o**3 - 3*o**2 - 17*o + 13. Let p(w) = 4*l(w) + 9*q(w). Let m be p(-6). Is 13 a factor of ((-3)/6)/1*m? True Let n = 709 - 560. Is n a multiple of 82? False Let g = 17 + -12. Let u(x) = -x**2 - 14*x + 22. Let d be u(-15). Suppose g*z - d = q + 44, -19 = -2*z - q. Is z a multiple of 5? True Let p be -6 + 4 + 3 + -3. Is ((-21)/(-14))/(p/(-88)) a multiple of 11? True Suppose 3*u - 9 = -0*u. Suppose -2*b - u = -3*b, 145 = 5*o + 5*b. Is 13 a factor of o? True Suppose 0 = 6*d - 1075 + 613. Does 11 divide d? True Is 337/3 + (56/21)/(-8) a multiple of 15? False Suppose -6*w = -1039 + 751. Is 12 a factor of w? True Let a be 39/(-13) + 8/1. Suppose 2*y - 5*y + 156 = -2*h, 4*h - 282 = -a*y. Is 20 a factor of y? False Let d(t) = t**2 + 13*t - 363. Is d(33) a multiple of 55? True Let v be 0 - (-4 + -48 + -4). Suppose 4*d = -10 - 18. Let y = v - d. Does 21 divide y? True Let b = -3920 + 6358. Does 53 divide b? True Suppose 4*f - 102 = -5*z, 0 = -4*f - 0*z - 2*z + 108. Suppose -2*i + f = -48. Suppose -5*b + i = -72. Is 11 a factor of b? True Suppose 50*w - 3821 = 9479. Does 4 divide w? False Let a be -165*((-4)/5 - (-10 + 8)). Let g = 374 + a. Is 16 a factor of g? True Suppose 3*h + 0*h = -30. Let s be 4/h - (-51)/15. Suppose -7*z + s*z = -56. Is z a multiple of 7? True Let r = 13 + -23.
{ "pile_set_name": "DM Mathematics" }
**0*c)**23/(c**(2/5))**(2/55) assuming c is positive. c**(12646/275) Simplify (r**(-2/7)/r)/r*r**23 assuming r is positive. r**(145/7) Simplify (x**(-9)*x**(-2))**(2/5) assuming x is positive. x**(-22/5) Simplify (k**0*k*k)/(k/(k**7*k))*k*k**(4/3)/k*k/(k*(k**(-3/5)/k)/k*k) assuming k is positive. k**(179/15) Simplify ((r*r**(-2/3))/(r**(-5)/r))/((r/r**(3/7))/(r**4/r)) assuming r is positive. r**(184/21) Simplify (d/d**9*d**5)**37 assuming d is positive. d**(-111) Simplify ((h/((h**(-2/27)*h)/h*h))/h)/h*h/(h/h**(1/5))*h**(-8)*h**(-9) assuming h is positive. h**(-2528/135) Simplify ((d*d**(-2/9))/d*d/(d*d**(2/5)))/(d**(-1/6)/(d**(-6)*d*d)) assuming d is positive. d**(-401/90) Simplify d**(-2/7)*d**15 assuming d is positive. d**(103/7) Simplify (u**(2/43))**(32/7) assuming u is positive. u**(64/301) Simplify h/(h/(h*h**0*h*h))*(h**(3/4)*h)/h assuming h is positive. h**(15/4) Simplify (u*u*u*u**(-3/2)*u*u*u*u**0)/((u/u**6)/(u**(-1)*u*u)) assuming u is positive. u**(21/2) Simplify (q**1)**38/((q/(((q*q/(q/q**(-2/5)))/q)/q))/(q*q**(-1/5))) assuming q is positive. q**(182/5) Simplify c**24*c/((c/c**(14/9))/c*c) assuming c is positive. c**(230/9) Simplify ((p**(1/3))**(-10/13))**8 assuming p is positive. p**(-80/39) Simplify (x**1/(x/(x**(-1/4)/x)))**(-36) assuming x is positive. x**45 Simplify (u/u**13)**(-41) assuming u is positive. u**492 Simplify ((u**(-3/5)*u)/(u**(-9/2)*u))/((u/(u**(1/12)/u)*u)/(u/((u/(u**(-1/3)/u))/u))) assuming u is positive. u**(13/20) Simplify (w*w**(1/11)*w/(w*w**(3/4)/w))**12 assuming w is positive. w**(177/11) Simplify (q**4)**36 assuming q is positive. q**144 Simplify ((f*(f**(-1/3)*f)/f)**49)**(-7/9) assuming f is positive. f**(-686/27) Simplify u**(3/4)/(u/(u/(u/(u*u**10*u*u)))) assuming u is positive. u**(51/4) Simplify (v*v*v**(2/7)*(v/v**(-10))/v)/(v**(2/7))**(-2/7) assuming v is positive. v**(606/49) Simplify (z**1/((z/(z/(z**(-10)*z))*z)/z))/((z*z**(2/21)*z)/(z/(z/(z*z*z**(-6))))) assuming z is positive. z**(82/21) Simplify (j/(j**(-3/16)/j)*j)/j**(-3/26) assuming j is positive. j**(687/208) Simplify (r*r/(r/(r*(r*r/r**0)/r)))**35*(r/(r/(r*(r**(-1)/r*r)/r)))**(-2/7) assuming r is positive. r**(737/7) Simplify (a/(a/a**0))**34*a**8*a*a/a**(-1/7)*a assuming a is positive. a**(78/7) Simplify ((y**(-3/4)/y)/y*y*y**(2/31))/((y*y**(1/2)*y)/(((y**(2/5)*y)/y)/y)) assuming y is positive. y**(-2967/620) Simplify (q**(-1/16)/q)/(q*q*q**(-20)) assuming q is positive. q**(271/16) Simplify (y*y*y/((y**(1/3)*y)/y))/(y**(2/11)/y)*((y**2/y)/y)**(-1/31) assuming y is positive. y**(115/33) Simplify ((h*h**(-2/15))/h)/(h/(h*h/h**(-3/7)))*h**(2/9)*h/((h*h**0)/h) assuming h is positive. h**(793/315) Simplify ((o/o**1*o)/o*o)**28*(o**6/o)/(((o*o/o**(1/3))/o)/o) assuming o is positive. o**(100/3) Simplify (((q*q/(q*q/q**(-17)*q)*q)/q*q)/(q**(-4)*q))**26 assuming q is positive. q**(-364) Simplify c*c/(c**(-2/5)/c*c)*c*c**(-2/5)*(c*c**3*c*c)/(c/(c*c/(c/(c**(5/7)/c))*c)) assuming c is positive. c**(68/7) Simplify ((t**(-3)*t)/((t*t/(t**0/t*t*t*t)*t*t)/t))**(2/9) assuming t is positive. t**(-2/3) Simplify (y**(-1/4))**7 assuming y is positive. y**(-7/4) Simplify (m*m**(-7)*(m/m**8)/m)/((m/m**(2/5))/m*m**(-1/6)) assuming m is positive. m**(-403/30) Simplify (v/v**10)**(-11) assuming v is positive. v**99 Simplify (g**5)**6 assuming g is positive. g**30 Simplify (k**0*(k*(k**(2/15)/k)/k)/k)**(-11) assuming k is positive. k**(308/15) Simplify (i/(i/(i/(i**(-1/3)*i)*i))*i**(-5)*i*i)/(i/i**(-1)*i*i**(-8)/i) assuming i is positive. i**(13/3) Simplify (d**(-5/8))**(-19) assuming d is positive. d**(95/8) Simplify ((h**(-3)*h)/h)**(-3/4)*(h/(h/(h**2*h)))/h**(-3) assuming h is positive. h**(33/4) Simplify (a/(a/(a**(2/15)*a)*a*a))/a**8*(a**(2/5)/a)/a**11 assuming a is positive. a**(-307/15) Simplify (((((p*p**(-1)*p)/p)/p)/p)**(-12/7))**3 assuming p is positive. p**(72/7) Simplify (a**0)**(-6/23)*(a**(-6)/a*a)/(a/(a*a**(2/15)*a)) assuming a is positive. a**(-73/15) Simplify (x**9)**9 assuming x is positive. x**81 Simplify d/((d*d**(-7))/d*d)*d/d**(-3/2)*d**(-7)/((d/d**(-7)*d)/d) assuming d is positive. d**(-11/2) Simplify (g**(-2/7)*g)**(2/35)/((g/(g/(g*g/g**0)*g))/(g*g/g**(2/3))) assuming g is positive. g**(55/147) Simplify u**(-5)/u*u**0 assuming u is positive. u**(-6) Simplify (x*x**(-3)*x*x*x**(-2))**(-35) assuming x is positive. x**70 Simplify (v*v**(1/8)/v*v)/v**(1/19) assuming v is positive. v**(163/152) Simplify n*n/n**(-10)*n**(-1/3) assuming n is positive. n**(35/3) Simplify n**(-3)/n*n**(-4/15) assuming n is positive. n**(-64/15) Simplify (y/(y**(2/5)/y))/y**0*y**(-4)/y**(1/11) assuming y is positive. y**(-137/55) Simplify (u/(u*u*u/u**(-14)))/(u*u/u**(-2/3)) assuming u is positive. u**(-56/3) Simplify j*j*j**(-4)/j*j*j**(3/8)*(((j/(j*j*j/(j*j*j**7))*j)/j*j*j)/j)/(j**(-1/3)/j) assuming j is positive. j**(185/24) Simplify (u*u*u**0/u)/(u*u**(-2/3)/u*u)*(u*(u*u**(1/7)*u)/u)/u**5 assuming u is positive. u**(-46/21) Simplify o*o/o**(-2)*o*o**(-1/5)*(o/(o**(3/4)*o)*o)/o*o*o*o**(-6) assuming o is positive. o**(1/20) Simplify (b**(-1/9)*b*b**12*b)**(-13) assuming b is positive. b**(-1625/9) Simplify (j*(j/(j**(-1/6)/j))/j)**46 assuming j is positive. j**(299/3) Simplify (c*c*c/c**12)/(c*c**(-32)) assuming c is positive. c**22 Simplify (c**(-1/2))**21/(((c**(8/5)*c*c)/c)/(c**(-1/15)*c)) assuming c is positive. c**(-73/6) Simplify l*l/(l**(-2/19)*l)*l/(l/(l**(2/13)*l)*l)*(l**(2/5))**35 assuming l is positive. l**(3769/247) Simplify (h**(-2/9)/h**7)/(h*h*(h**(2/11)/h)/h*h**(-2/9)/h) assuming h is positive. h**(-68/11) Simplify (g*g*g**(-34)*g)/g*g/(g/g**(-10)*g) assuming g is positive. g**(-43) Simplify (f**7)**(2/9) assuming f is positive. f**(14/9) Simplify (n**(8/5)/n*n)/n*n*n/(n/(n*n**(1/6))) assuming n is positive. n**(83/30) Simplify (x**(1/13)/x)/(x/x**(2/5)) assuming x is positive. x**(-99/65) Simplify f**1/(f*f*f*f/f**(-4))*((f**(-1/5)*f*f)/f)/f*f*f**5/f assuming f is positive. f**(-11/5) Simplify (t**1*t/(t/(t*((t/(t/(t*t/((t**(3/5)/t*t)/t))))/t)/t)))**(-1/47) assuming t is positive. t**(-12/235) Simplify (i**(-1/5))**43 assuming i is positive. i**(-43/5) Simplify (w**(-1)/(w**(-4)/w))**(3/17) assuming w is positive. w**(12/17) Simplify ((r*r/(r/r**(5/2))*r)/(r/(r/r**(-2))))/(((r**(-4/7)*r*r*r)/r)/(r**(1/6)/r)) assuming r is positive. r**(89/21) Simplify (m**(-13/3))**30 assuming m is positive. m**(-130) Simplify ((q/q**19)/(q/(q*q*q**(2/3))*q))**(1/30) assuming q is positive. q**(-26/45) Simplify u**(-7)*(u*u/(u**(2/5)/u*u))/u assuming u is positive. u**(-32/5) Simplify (k*k**(-2/5))/(k/(((k/(k*k*k**1))/k)/k)) assuming k is positive. k**(-22/5) Simplify p**(2/5)/p*p**(-8/3) assuming p is positive. p**(-49/15) Simplify (g**(1/8)/g*g)/g*g/g**(-11) assuming g is positive. g**(89/8) Simplify (a*a*a**(-1)*a/a**(4/7))/(a**0*a**(-5)) assuming a is positive. a**(45/7) Simplify (m/(m**(-1)*m)*m/(m/(m/(m**4/m)*m)*m))**(-26) assuming m is positive. m**26 Simplify (k**(-1/6)/k**6)/(k*k**(3/5)*k*k*((k**(-2/17)*k)/k)/k) assuming k is positive. k**(-4411/510) Simplify w*w*w/(w*w**(-10))*w**(-22) assuming w is positive. w**(-10) Simplify (i/((i**(-2)/i*i*i*i)/i*i))**(-10/9)/(i**(2/5)/i**(4/9)) assuming i is positive. i**(-16/15) Simplify (x*x*x*(x*x**(-1/5))/x*x*x*x)**(-29/2) assuming x is positive. x**(-841/10) Simplify (b**(1/3)/(b*(b*((b*b**6)/b*b*b)/b*b)/b))/(b/(b/((b*b**(1/2))/b*b)*b*b)*b**2/b) assuming b is positive. b**(-55/6) Simplify (y**(-2/3)/y**(-4/5))/((y*y**(3/2))/y**(-3)) assuming y is positive. y**(-161/30) Simplify ((d/((d*d**(-2/5)*d)/d*d))/d*d)/((d/(((d/d**(1/5))/d*d)/d))/d)*(d**1*d*d)**(2/31) assuming d is positive. d**(-94/155) Simplify (p**(2/3)/p)**(-1/19)*((p*(p**(3/5)*p)/p)/p*p)/(p/p**(-2/7)) assuming p is positive. p**(662/1995) Simplify (c**(-1)/(c/(c/(c/(c*c**(-2/19)*c)))*c*c))/(c**(-1)*(c*c/c**(2/7)*c)/c) assuming c is positive. c**(-375/133) Simplify (x**(-1/3))**(16/5)/((x/x**(-2/5)*x)/x**(-2/15)) assuming x is positive. x**(-18/5) Simplify ((u**(-2/3))**32)**(-4/5) assuming u is positive. u**(256/15) Simplify ((q**(-1/4))**(-2/15))**12 assuming q is positive. q**(2/5) Simplify (n*n/(n**(1/9)/n*n)*n**(-3))**(-42) assuming n is positive. n**(140/3) Simplify w**(-10/3)/w**(-5) assuming w is positive. w**(5/3) Simplify (x**
{ "pile_set_name": "DM Mathematics" }
(420/84)/(2/((-90)/(-25))). 9 ((-2030)/2002 - -1)*-11 - 0 2/13 What is the value of (-16)/80*-25*(3/5 + 1)? 8 Calculate ((-1)/(-23))/((-1030)/(-4738)). 1/5 Calculate 28900/867 - (5/(-3) - 1). 36 51/425 + 9142/(-350) -26 What is (-516)/(-1118) + 204/(-273)? -2/7 What is the value of 2*(9/(-72))/(-1)? 1/4 Evaluate 3*(-8 - (-570)/70). 3/7 What is ((-123)/(-1025))/(18/(-15))? -1/10 What is ((44 - 63) + (-1352)/(-72))*(-1 - -2)? -2/9 Calculate (-110)/(-30) + -3 + (-9)/(-27). 1 20 + -2 + ((-57000)/(-90))/(-38) 4/3 Calculate ((-546)/(-28))/((-108)/72). -13 What is the value of ((-2272)/1278*3/(-4))/(4/(-42))? -14 Evaluate (2/21 - 850/1428)/(9/(-270)). 15 Evaluate -5 - (7/(-7))/(7/105). 10 Calculate ((-40)/(4/(-2)))/(1 + 5 + -4). 10 ((-28010)/(-8403))/(((-12)/(-9) - 2) + 0) -5 (-3)/(-2)*-10*(-100)/(-375) -4 What is the value of (-5120)/(-360) + (1 - 20) + 5? 2/9 ((3/(-5))/((-3)/(-4)))/(292 + -278) -2/35 5550/(-345) - ((-4)/(-138))/(13/(-39)) -16 What is the value of (-944)/(-64) + 7/(-4)? 13 What is the value of 90/1395 - 864/(-62)? 14 What is (15 + 261/(-18))/(4/72)? 9 What is 82/(-492) + 82/(-12)? -7 Calculate 9471/574 - (-30)/4. 24 What is 167/8 - (2*(-935)/(-272) - 7)? 21 Evaluate (-5 + 1)/(-312) - (-14)/91. 1/6 Calculate (((-154)/88)/(1/4))/(-1). 7 Evaluate (-20)/(-6)*450/100. 15 Calculate (-2 - 46/8) + 440/(-1760). -8 Evaluate (-11340)/(-570) + (1 + 1)*(-1)/(-19). 20 What is the value of 0 + (129/(-215))/((-222)/10)? 1/37 What is the value of (-336)/56 + 3 - 1/(7/(-11))? -10/7 What is 128/7 - (-188)/(-658)? 18 Calculate (0 + 4)/(-4) + 230/276. -1/6 What is the value of (-8)/(-104) + (3 - 111/39)? 3/13 Calculate (44 + -26 - 22) + 12*(-12)/(-9). 12 What is ((-6)/(-33))/((-12)/6 - -4)? 1/11 Evaluate (-1 - -4)/(((-15)/45)/((-3)/(-9))). -3 Evaluate (196/(-147))/(12/(-9)). 1 -8 - (6 - 4)*-8 8 Calculate ((-8)/12)/((-616)/1056). 8/7 Evaluate (-8752)/(-24615) + (-4)/(-9). 4/5 -3*(-8)/(-64)*24 -9 Evaluate (11/45 + (-25)/(-125))/(16/12). 1/3 What is 4*2/(-14) - -1*228/(-42)? -6 What is (2583/(-287))/((-3)/(-2))? -6 Evaluate ((-3)/9)/((-266)/(-114)). -1/7 What is (-12864)/5360*20/(-3)? 16 Evaluate (((-15)/(-25))/((-1)/1))/(399/(-12635)). 19 Evaluate ((-3)/(-4))/((-105)/80). -4/7 What is 0/(6/9*(10 + (-153)/18))? 0 What is 13/(-3510)*-15 + (-639)/(-162)? 4 Evaluate 9/(-42)*(-108)/(-81). -2/7 Calculate ((-7250)/(-70))/5 + 1 + 25/(-35). 21 Calculate 9*(27/(-243))/(2/12). -6 Evaluate (-34)/(-34)*(8 + -8). 0 What is ((-99)/(-55))/((-6)/(-30))? 9 Evaluate (-2)/(-1) - 150/80*(-24)/(-20). -1/4 What is the value of ((-30)/(-4))/(-42*6/(-504))? 15 What is 3*6/(-4)*(-5)/45*6? 3 Evaluate (340/(-816))/((-6)/16). 10/9 (-28)/(-42)*(-27)/(-33) 6/11 What is the value of (1 - (7/(-24))/7) + (-204)/306? 3/8 What is ((-29)/145)/((-2)/(-60))? -6 4/58 + -12 + (-7008)/696 -22 What is ((-3)/3 - -9) + 7? 15 Evaluate (2 + -8)/(39/(-364)*-7). -8 What is 2125/235 + (-22 - (-12 + 8) - -9)? 2/47 Evaluate ((-642)/(-75))/(12/(-10)) - 8/(-60). -7 What is the value of 15/(-55) - ((-190)/(-110) + 13)? -15 What is the value of (-649)/5192 + -617*1/120 - -5? -4/15 What is the value of -21*(-1 - 0)*(4 - 15/5)? 21 Evaluate ((-3 - (-7)/(-8)) + 4)*(-58)/(-29). 1/4 (12/10)/((5/(-20))/((-55)/(-968))) -3/11 1 + (-1108)/1406 + 5348/(-98938) 3/19 What is 6 + 105/(-18) + (-21)/1638? 2/13 What is the value of 78/(-104)*(-140)/(-21)? -5 -20 - -17 - (4/54)/((-6)/369) 14/9 What is the value of 1230/(-492)*24/(-5)? 12 Evaluate (10/8)/(18 + 292/(-16)). -5 Calculate -24 + 3/3 + 14/14. -22 Evaluate (10/(-6) - (2 + (-22)/33))/1. -3 What is 3*((-57)/171)/(3/69)? -23 What is the value of (-4*6/(-60))/(16/(-360))? -9 Evaluate ((42/(-315))/((-6)/(-10)))/(4/(-6)). 1/3 What is the value of (6/(-11) - (-9538)/(-2761))*4? -16 (3/9)/((-75)/(-1125)) 5 (7/(-6))/(10682/654) -1/14 (15 + 7184/(-480))*(-5)/((-15)/12) 2/15 Calculate 860/301 - (-9620)/(-3220). -3/23 Calculate (-1240)/(-651) - (-24)/(-18). 4/7 131/(-52) - (-86 + (-10447)/(-124)) -10/13 Calculate 18 - 4/(-6)*1584/(-96). 7 Calculate (7/2)/((-28)/(-48)) + 1*-10. -4 Evaluate (2/(-66))/(226/(-4068)). 6/11 Evaluate 19/(-38)*(-6)/7*(-147)/(-14). 9/2 Calculate (33 - -328)/19 + (-5)/(-1). 24 What is the value of 100/75*183/1856 - (-5)/(-80)? 2/29 -4 + (6 + 0 - 460/120) -11/6 Calculate 1386/1848*(-4)/10. -3/10 Calculate (7/(-2))/((-2829)/(-246) - 11*1). -7 What is 3/11 + (-1068)/231*112/(-96)? 17/3 What is -1 + 0 - 9/27 - 5/(-3)? 1/3 Calculate ((-14)/2 - 11/((-275)/215))*-5. -8 What is -249 - -247 - (-18 + 3/(0 + -3))? 17 What is (-20)/5*3 + 3955/339? -1/3 What is the value of 28 - (-11 + (19 - (-160)/(-8)))? 40 What is 1/3 + (-2412)/108 + 35? 13 Calculate (3/(-36)*3)/((-15)/(-72)). -6/5 (3 + 24/(-16))/(30/(-220)) -11 What is ((-5)/35 + (-12)/14)*9? -9 24*(-28 - -22 - 17/(-3)) -8 What is the value of (-1632)/(-1224) - 2/(-6)? 5/3 Evaluate 156/52 - (7 - 0). -4 (-6 + (-2723)/(-455))*990/(-132) 3/26 Evaluate (64/216)/(-10*(-1)/15). 4/9 Evaluate 78/143 + ((-164)/(-22) - (-22 + 22)). 8 What is the value of 697/(-2091) + (-47)/3? -16 What is (-6)/39 + 1560/(-3042)? -2/3 Calculate (67/134 - (-1)/(-4))*24. 6 138/(-15) - (-95)/(-25) -13 ((-300)/(-1350))/((1/2)/((-15)/8)) -5/6 What is (5*24/90)/(17/((-357)/98))? -2/7 What is (60/(-24))/(25/160)? -16 Calculate (-31)/105 + 3/15 - (-157549)/10437. 15 What is ((-44)/(-12) - 4)/(-1)? 1/3 Calculate (-3 - -6)*260/(-17550). -2/45 Calculate (((-11)/33)/(-1))/(70/(-30)). -1/7 What is (44/(-110))/(((-3)/10)/((-15)/30))? -2/3 Calculate (6/7)/((-23517)/(-1407)). 2/39 Calculate ((-304)/57)/((-4)/(-6)). -8 What is the value of (-21)/14 - (-2)/4*125/35? 2/7 Evaluate -3*(-16)/6 - 12. -4 -1*(-5 + 4 - (-24)/18) -1/3 What is -21 + 26 + -16 + 15? 4 What is ((-3)/8 + 690/560)*(-1 + -6)? -6 What is the value of 7 - 3/1*(4360/285 + -13)? 2/19 Evaluate 2 - ((-20)/(-42))/(-13 + 80/6). 4/7 What is 292/(-40) - (28/(-70) - (-198)/(-30))? -3/10 Calculate (5/7)/(9/(1188/55)). 12/7 Evaluate 12*(7 + (-1150)/115 + (-41)/(-14)). -6/7 What is ((-4984)/168 - -31)*(-30)/2? -20 Evaluate (1008/54 + -10)/(10*(-1)/(-15)). 13 Evaluate 21/42*(-88)/(-4). 11 What is (2 - (9 - 5))/(29/87)? -6 Calculate 468/54 - 15 - (-7 + 2). -4/3 What is -13*(0/(-69) + (-2)/6*-3)? -13 What is (-12)/(-63)*213/(-142)? -2/7 What is 7 + 5/(8 + 8 + -17)? 2 What is 4 + 286/(-55) - (-3 + (-38)/(-10))? -2 What is the value of (-13)/((-728)/(-98)) - 2*(-10)/16? -1/2 What is (-26)/(-195)*(136/(-714))/((-2)/(-15))? -4/21 Calculate ((-30)/45 + 0)/((-20)/630). 21 What is 3*(-4)/(-6) - 5/((-125)/(-200))? -6 Calculate (36/24)/(220/104 + -2). 13 Calculate 23/(-92) + 351/12. 29 Calculate (6/4)/(178/(-1780)). -15 Evaluate (-80 - -65) + 369/24. 3/8 What is the value of (12/14 + (-5)/35)*28/35? 4/7 1/8 - (-20655)/(-4536) - (0 + -4) -3/7 Calculate (-30)/15*(-3)/(-6). -1 What is the value of (0 - -12)/(1/((-3)/(-30)))? 6/5 What is (4 - -12) + (57 - 67)? 6 What is (-2)/((-14)/49) + ((-2340)/(-55))/(-6)? -1/11 What is (-295)/59*(-4)/(-12)? -5/3 What is (7/(-10) - -1)/(1320/7700)? 7/4 Calculate ((-2)/(-3))/(14*3/(-252)). -4 What is the value of 15 + (-1043)/70 + 181/(-10)? -18 What is 1562 + -1571 - (-62)/5? 17/5 ((-6)/16)/((-13)/52)*840/(-180) -7 Calculate ((-105)/1260)/((-3 - -2)/12)*-13. -13 Calculate ((-3312)/(-2944))/(30/(-8)). -3/10 What is the value of 20/(14 - -506)*(1 - -1)? 1/13 Calculate (-1570)/68 - (-75)/850. -23 What is the value of (10/45)/(-27 + 29)? 1/9 What is (-14)/560*8*-65? 13 -1*(-1)/(-2) + 0 - 1037/(-122) 8 Calculate (((-3)/15)/((-25)/(-75)))/(1/(-60)). 36 Evaluate (170/(-119))/((-396)/616). 20/9 What is 2/(6119/(-203) + 30)? -14 8/10 - (-86)/1075*90 8 -1 + (-270)/(-290) - 42/232 -1/4 What is the value of 2/(-3)*(-168)/(-16)? -7 100471/4557 - (-5)/(-105) 22 Evaluate -8 - 36/24*-14 - 38. -25 (-104)/(-210) - (-26)/(-2470)*38 2/21 Calculate (-15 + 5642/378)*-1. 2/27 What is the value of ((-92)/(-5) + 6/10)*(417 - 418)? -19 What is the value of (-1*(-15)/(-60))/(1/(-32)*5)? 8/5 What is the value of 629/68 - (-2)/(-8)? 9 (10 - -8)/(7*(2 + 48/(-28))) 9 (-270)/315*(8 - 560/21) 16 (329/(-188))/(154/4) -1/22 Calculate 28912/2112 + -15 + (-15)/(-12). -2/33 What is the value of (0 - 24) + (-3 - (-3 - 2)) + 2? -20 Evaluate (-1*34/(-2))/((18 + -10)/(-8)). -17 Evaluate -4 + (99/11 - 5). 0 What is the valu
{ "pile_set_name": "DM Mathematics" }
d by 1/(x/24 + -2)? 10 Let q(o) = 2*o + 4. What is the remainder when 13 is divided by q(1)? 1 Let b = 71 + -26. Let q = 13 + 3. Calculate the remainder when b is divided by q. 13 Suppose v + 2*v - 57 = 0. Let t = 39 - v. Calculate the remainder when 57 is divided by t. 17 Let q = -3 + 6. Suppose s + q*s = 92. Suppose 0 = 4*h + p - 0*p - 36, 0 = -h - 5*p + 28. Calculate the remainder when s is divided by h. 7 Let x(i) = i + 8. Calculate the remainder when x(-5) is divided by 2. 1 Let y be -19*(4 - 1)*-1. Suppose 0 = 5*a + 2*w - y, 5*a - w = 14 + 55. Suppose -2*s + 7 = -a. Calculate the remainder when 18 is divided by s. 8 Let w(c) = 2 - c - 2*c - 2*c + 4*c. Calculate the remainder when 29 is divided by w(-8). 9 Suppose 6 = -4*w + 2*w. What is the remainder when 16 is divided by w/((-1)/((-6)/(-2)))? 7 Let d(i) = -i**3 - 8*i**2 - 8*i - 5. Let f be d(-7). Suppose -29 = -f*n + n. Let t = -9 + 19. Calculate the remainder when n is divided by t. 9 Suppose 5*j - 5*m = 420, -j - m - 4*m = -78. What is the remainder when j is divided by 30? 23 Let k(z) = -z + 2. Let s be 3/(-1) + 2 + -2. What is the remainder when 13 is divided by k(s)? 3 Suppose 2*b + 83 - 15 = 2*s, 2*s + b - 71 = 0. What is the remainder when s is divided by 12? 11 What is the remainder when 1/(-2) + (-15)/(-2) is divided by -1 - (7/(-3) + 8/(-12))? 1 Let v = 76 - -22. Calculate the remainder when v is divided by 25. 23 Suppose -3*l = 3*u - 15, -4*u + u = -2*l + 10. Suppose -x = -u*x - 12. Let m(f) = -2*f**3 - 5*f**2 + 5*f + 6. What is the remainder when m(-4) is divided by x? 10 Suppose 65 = 5*o - 2*y, 0 = y + 3*y + 20. What is the remainder when o is divided by 8? 3 Let j(n) = -n. Let x(g) = -5*g. Let r(p) = 14*j(p) - 2*x(p). Calculate the remainder when r(-6) is divided by 13. 11 Let u = 25 - -4. Calculate the remainder when u is divided by 6. 5 Let m(d) = -d + 5. Let p be m(4). What is the remainder when p - (165/(-3) + 2) is divided by 11? 10 Suppose 3*c = c + 50. Let a = 29 - c. Let w = -3 + 5. What is the remainder when a is divided by w? 0 Suppose 4*i = k + 10, -4*i = -3*i - 2. Calculate the remainder when 29 is divided by 17 - (2 - (3 + k)). 13 Let r(k) = -k**3 - 4*k**2 + 1. Calculate the remainder when r(-5) is divided by 4. 2 Let p(o) = 6*o**2 - o. Let w be 9/6 + (-2)/4. Let m be p(w). What is the remainder when 2 is divided by -1 + 1 - (m - 6)? 0 Let a = 223 + -156. Calculate the remainder when a is divided by 14. 11 Let m(u) be the first derivative of 2*u**3/3 - 3*u**2 + 3*u + 8. Let z = 28 + 4. Calculate the remainder when z is divided by m(4). 10 Let c(n) be the first derivative of n**3 + 3*n**2/2 + n - 2. Calculate the remainder when c(3) is divided by 13. 11 Let g(v) be the third derivative of 4*v**4/3 + v**3/6 - 4*v**2. Calculate the remainder when g(1) is divided by 18. 15 Let d(c) be the first derivative of -c**4/4 + 2*c**3/3 + 3*c**2/2 - 3*c - 4. Calculate the remainder when 4 is divided by d(2). 1 Suppose -6 = 2*b, 0*b + 3 = 2*p + b. What is the remainder when (-23)/(p/(-3) - 0) is divided by (-62)/(-5) + 4/(-10)? 11 Let h(l) = -l - 8. Let q be h(-6). Let n = -9 + 5. Let r = q - n. Calculate the remainder when r is divided by 2. 0 Let l = -2 - -4. Suppose 4*w - 8 = 4*o, -3*o + 3 - 6 = -l*w. Calculate the remainder when 10 is divided by w. 1 Suppose z + 61 = 8. Let w = 74 + z. What is the remainder when 61 is divided by w? 19 What is the remainder when 118 is divided by -3*(14/(-3) - (-1)/(-1))? 16 Let a(d) = d + 1. Let u = -6 + 6. What is the remainder when 2 is divided by a(u)? 0 What is the remainder when (-1008)/(-90) + (-1)/5 is divided by 7? 4 Let x = 46 - 98. Calculate the remainder when 14 is divided by x/(-6) + 6/(-9). 6 Let d(q) = q**2 - 21*q + 13. Let k be d(10). Let o = 53 + k. Calculate the remainder when 12/(-2)*o/8 is divided by 17. 16 Suppose -3*f + 13 + 41 = 0. Let r(u) = -u**2 + 27*u - 119. Calculate the remainder when r(8) is divided by f. 15 Suppose -5*w + 0 = -10. Let r = 2 + w. Calculate the remainder when 7 is divided by r. 3 Suppose -3*w - 12 = -6*w. Suppose d = k + 12 - w, 3*k - 15 = 0. Calculate the remainder when 561/15 - ((-6)/(-15))/1 is divided by d. 11 Let o be (10 + 2)*1*1. Suppose -4 = -2*q + o. Calculate the remainder when 15 is divided by q. 7 Let q = 14 - 9. Suppose 0 = 2*g, 5 + 28 = 3*r - q*g. Calculate the remainder when 31 is divided by r. 9 Calculate the remainder when 49/(-21)*(-54)/2 is divided by 18. 9 Suppose 65 + 3 = 4*f. What is the remainder when 33 is divided by f? 16 Suppose -2*f = -u - 4*f + 16, 3*f - 16 = -u. Let z = -7 + u. What is the remainder when z is divided by 6? 3 Suppose 2*k - 73 - 11 = 0. Calculate the remainder when k is divided by 9. 6 Suppose -5*d - 4*m - 13 = 7, 20 = 4*d - 4*m. Suppose d = -t - 2*t + 180. What is the remainder when t is divided by 21? 18 Suppose -2*j = 2*j - 264. Let c = 124 - j. What is the remainder when c is divided by 20? 18 Let y(m) = -3*m - 20. Calculate the remainder when y(-9) is divided by 3. 1 What is the remainder when ((-21)/(-2))/((-2)/(-4)) is divided by 6? 3 Let c = 51 + 40. Let o(u) = -u**3 - 11*u**2 - 22*u - 5. What is the remainder when c is divided by o(-9)? 29 Suppose 7 = -5*r + 2. Let j(x) = x**3 + 5*x**2 + 3*x - 3. Let v be j(-4). Let c = v - r. Calculate the remainder when c is divided by 2. 0 Let u = -6 - -10. Suppose 142 = u*m - 2*o - 8, 0 = 3*m + 5*o - 106. What is the remainder when m is divided by 19? 18 Let h(x) = 2*x - 1. Let s be h(2). Suppose s*f + 225 = 54. Calculate the remainder when ((-1)/3)/(1/f) is divided by 10. 9 Let o(w) = w**2 - w + 5. Let n be o(0). Suppose -j + n*c + 3 = -6, -20 = -5*c. What is the remainder when 84 is divided by j? 26 Let v(a) = a**3 - 7*a**2 + 2. Let b be v(7). Let g = 15 - b. Suppose q - 150 = -5*q. Calculate the remainder when q is divided by g. 12 Let u be 1/4 - 23/(-4). Suppose 7*f - 67 = u*f. What is the remainder when f is divided by 23? 21 Suppose -4*w = l - 35, l - 3*l = -3*w + 40. What is the remainder when 18 is divided by w? 8 Let z be (-7)/(-4) - 3/(-12). Suppose 0 = l - 5*s - 13, -2*l = -2*s - 0 - z. Calculate the remainder when 29 is divided by (-2)/l - (-9)/1. 9 Let u(c) = 20*c**3 + c**2 + c - 1. Suppose 0 = -4*s + 4 + 40. Calculate the remainder when u(1) is divided by s. 10 Let n = -97 + 162. Suppose 0 = 4*f - 4, c + 0*c + 39 = -5*f. Let z = c + n. Calculate the remainder when z is divided by 11. 10 Suppose -2*g - 2*g - 38 = -5*d, 4*d - g = 37. What is the remainder when 29 is divided by d? 9 Let g = 7 + 16. What is the remainder when 44 is divided by g? 21 Suppose 4*v + v - 15 = 0, -3*k + 57 = 5*v. What is the remainder when 53 is divided by k? 11 Let q = 51 + -21. Suppose -b + 3 = -13. What is the remainder when q is divided by b? 14 Let l(s) = 3*s**2 + 2*s + 3. Let v be l(4). Let j = v + -6. Suppose y = 5*y - 72. Calculate the remainder when j is divided by y. 17 Let j(p) = 1 + p - 2 - 2*p + 11*p. Calculate the remainder when j(1) is divided by 6. 3 Suppose -8 = -2*r + 16. What is the remainder when 18 is divided by r? 6 Suppose 0 = 2*a - 0 - 72. Let i = a + -14. Let w(d) = 13*d - 1. What is the remainder when i is divided by w(1)? 10 Suppose 4*q - q + 3 = -2*s, 4 = -4*q. Suppose s = 6*z - z - 105. Calculate the remainder when z is divided by 11. 10 Let w(o) = 6*o + 15. What is the remainder when 23 is divided by w(0)? 8 Let c = -11 + 6. What is the remainder when (-1 - 1) + 33 + -2 is divided by (-380)/(-25) - (-1)/c? 14 Suppose -4*t = 2*d - 8, 5*d + 24 = t - 0*t. Let v(i) = 2*i**2 + 6*i. Let k be v(d). Let p = k + -3. Calculate the remainder when 9 is divided by p. 4 Let y = -13 + 28. Let l = -54 + 35. Let i = 62 + l. What is the remainder when i is divided by y? 13 Suppose 77*c - 774 = 68*c. Calculate the remainder when c is divided by 30. 26 Calculate the remainder when (-3 - 0)*(-114)/9 is divided by 13. 12 Let q = -9 + 13. Suppose q*x + 74 = 2*r, -5*r - 4 + 165 = -2*x. Calculate the remainder when r is divided by 17. 14 Let c = -38 + 79. Let n = -1 - -34. Let b = 47 - n. Calculate the remainder when c is divided by b. 13 Let h(g) = 3*g**2 - g - 7. What is the remainder when 65 is divided by h(3)? 14 Let u = 30 - 20. Let y be 3/(2 + (-346)/176). Suppose 0 = 4*i - 28 - y. What is the remaind
{ "pile_set_name": "DM Mathematics" }
-19219, -38077, -56705, -75097, -93247, -111149? -128797 What is the next term in 5113414, 5113416, 5113418, 5113420? 5113422 What comes next: 110965, 110909, 110853, 110797, 110741? 110685 What is next in -31865, -30795, -29725? -28655 What is the next term in -2726, -2705, -2698, -2729, -2822, -3001, -3290? -3713 What comes next: 33240, 133325, 300146, 533703, 833996, 1201025, 1634790? 2135291 What is the next term in 11692, 24454, 38278, 53164, 69112? 86122 What is next in 16007, 15468, 14929, 14390, 13851, 13312? 12773 What is the next term in 88040695, 176081392, 264122089, 352162786, 440203483, 528244180? 616284877 What is the next term in 5022, 20077, 45134, 80163, 125134, 180017? 244782 What is next in -1312, -3314, -6650, -11320, -17324, -24662? -33334 What is next in -544, -1109, -1626, -2095, -2516? -2889 What comes next: -782, -2318, -4620, -7682, -11498? -16062 What is the next term in -1228, -9647, -32498, -76999, -150368, -259823, -412582, -615863? -876884 What is next in 128065, 128044, 128003, 127936, 127837, 127700, 127519? 127288 What is the next term in -934, -3679, -11140, -25675, -49642, -85399, -135304? -201715 What is the next term in -38329, -76719, -115109, -153499, -191889, -230279? -268669 What comes next: 514024, 514020, 514016, 514012? 514008 What is the next term in 7111, 29406, 66553, 118546, 185379, 267046, 363541, 474858? 600991 What is the next term in -2254, -4351, -6154, -7519, -8302, -8359, -7546? -5719 What comes next: 3932, 9230, 23590, 51542, 97616, 166342, 262250, 389870? 553732 What comes next: -6380664, -6380666, -6380668, -6380670, -6380672? -6380674 What is the next term in 4293, 4489, 4813, 5259, 5821, 6493, 7269? 8143 What is the next term in 3713, 3928, 4279, 4766, 5389, 6148, 7043? 8074 What comes next: -79553, -155811, -232067, -308321? -384573 What is the next term in -40534458, -40534451, -40534442, -40534431, -40534418? -40534403 What comes next: 2984435, 2984446, 2984459, 2984474? 2984491 What comes next: 13488, 26707, 39934, 53175, 66436? 79723 What comes next: 138, 1280, 2422, 3564, 4706, 5848? 6990 What comes next: -989, -814, -637, -458, -277? -94 What comes next: -9167, -13653, -18139? -22625 What comes next: -12945, -19961, -26973, -33981, -40985? -47985 What is next in 151507, 303031, 454555? 606079 What is next in -461986, -923534, -1385082, -1846630? -2308178 What comes next: -5532, -12029, -18526, -25023? -31520 What comes next: -38425860, -76851758, -115277656, -153703554, -192129452, -230555350? -268981248 What is the next term in 8173, 9826, 14285, 22954, 37237? 58538 What comes next: -9708982, -9708987, -9708994, -9709003, -9709014, -9709027? -9709042 What is next in -255108, -1020349, -2295764, -4081359, -6377140? -9183113 What comes next: -203955, -409980, -616005, -822030, -1028055? -1234080 What comes next: -801773, -801767, -801747, -801707, -801641? -801543 What comes next: 335, 146, -419, -1552, -3445, -6290, -10279, -15604? -22457 What is the next term in 955405, 1910829, 2866291, 3821809, 4777401? 5733085 What is next in -34617378, -34617377, -34617376, -34617375, -34617374, -34617373? -34617372 What is the next term in 174385375, 174385377, 174385379, 174385381, 174385383, 174385385? 174385387 What comes next: -45554514, -91109026, -136663538, -182218050, -227772562? -273327074 What comes next: -22876, -50631, -78386? -106141 What is the next term in 22696, 90598, 203710, 362038, 565588, 814366, 1108378, 1447630? 1832128 What is the next term in 149211, 144941, 140671, 136401? 132131 What is next in -4628, -18092, -40542, -71978, -112400, -161808, -220202? -287582 What is the next term in -127753, -127788, -127897, -128116, -128481? -129028 What is the next term in -5482, -5815, -5946, -5869, -5578? -5067 What is the next term in -566697, -566627, -566437, -566067, -565457? -564547 What comes next: 42897, 42539, 42181, 41823, 41465? 41107 What comes next: -400, -2116, -6718, -15634, -30292? -52120 What comes next: -115274, -115385, -115494, -115601? -115706 What is the next term in -916, -313, 290, 893? 1496 What comes next: 150015839, 150015837, 150015835, 150015833, 150015831? 150015829 What comes next: 3670, 7341, 11022, 14713? 18414 What is the next term in 1021528, 4086111, 9193750, 16344445, 25538196, 36775003? 50054866 What comes next: -1306, -4986, -11050, -19498, -30330? -43546 What is next in 789863, 789785, 789707, 789629? 789551 What comes next: -44820, -44881, -44942, -45003, -45064? -45125 What is next in -359686, -359683, -359690, -359713, -359758, -359831? -359938 What comes next: 705, 2836, 6365, 11274, 17545? 25160 What is the next term in 433867, 433777, 433687, 433597, 433507, 433417? 433327 What is the next term in 1312048, 1312053, 1312058? 1312063 What comes next: -1397, -5753, -13039, -23255, -36401, -52477? -71483 What is next in -4400515, -4400534, -4400561, -4400602, -4400663, -4400750, -4400869, -4401026? -4401227 What comes next: 4717888, 9435783, 14153680, 18871579, 23589480, 28307383? 33025288 What comes next: 8920495, 17841055, 26761613, 35682169? 44602723 What comes next: 68994, 69047, 69102, 69159? 69218 What is the next term in 410515, 410526, 410535, 410542, 410547, 410550? 410551 What is next in 652619, 652188, 651757, 651326, 650895? 650464 What comes next: 10088862, 10088857, 10088854, 10088853, 10088854? 10088857 What comes next: -219109, -219185, -219333, -219571, -219917, -220389, -221005, -221783? -222741 What is next in 439172, 439239, 439350, 439505, 439704? 439947 What is next in -25768, -26731, -27694, -28657, -29620, -30583? -31546 What is next in -118028, -118043, -118060, -118079, -118100? -118123 What is the next term in -14661, -14585, -14425, -14139, -13685, -13021, -12105, -10895? -9349 What comes next: 7764024, 15528039, 23292054, 31056069, 38820084? 46584099 What comes next: 10050899, 20101795, 30152691, 40203587? 50254483 What is the next term in -27255, -108201, -243111, -431985, -674823? -971625 What is the next term in 270, 695, 1370, 2271, 3374, 4655? 6090 What is the next term in 129419, 258864, 388309, 517754, 647199, 776644? 906089 What is the next term in -35086, -140989, -317494, -564601, -882310? -1270621 What is next in -130147830, -130147838, -130147846, -130147854? -130147862 What comes next: -6101509, -24406013, -54913521, -97624033, -152537549, -219654069, -298973593? -390496121 What is the next term in 8525, 8619, 8711, 8801, 8889, 8975, 9059? 9141 What is next in 36400, 145611, 327628, 582451? 910080 What is next in 4815189, 9630379, 14445569, 19260759, 24075949? 28891139 What is next in 13417, 13331, 13179, 12961? 12677 What comes next: 2980344, 5960789, 8941234, 11921679? 14902124 What is the next term in -473, -276, 63, 544, 1167, 1932? 2839 What is next in 1757789, 1757793, 1757813, 1757861, 1757949, 1758089, 1758293, 1758573? 1758941 What is the next term in 10098, 20186, 30284, 40398, 50534, 60698, 70896? 81134 What comes next: -27719, -27753, -27775, -27785, -27783, -27769, -27743? -27705 What is the next term in 93557152, 187114303, 280671454, 374228605, 467785756? 561342907 What is next in 154641, 154577, 154513, 154449? 154385 What is next in 18078, 11299, 0, -15819, -36158? -61017 What is the next term in 61521, 61451, 61249, 60849, 60185, 59191, 57801, 55949? 53569 What comes next: 32838, 65834, 99018, 132390, 165950, 199698, 233634? 267758 What is the next term in -332, -1807, -5730, -13409, -26152, -45267, -72062, -107845? -153924 What comes next: 735276751, 1470553502, 2205830253, 2941107004, 3676383755? 4411660506 What comes next: 761142, 3044583, 6850318, 12178347, 19028670, 27401287? 37296198 What is next in -351065, -351889, -353263, -355187, -357661, -360685, -364259? -368383 What comes next: 5119, 11263, 18431, 26623, 35839, 46079, 57343? 69631 What is next in 29011, 29877, 30743, 31609? 32475 What is next in -23736666, -47473328, -71209990, -94946652? -118683314 What is the next term in -194, -1298, -2396, -3488, -4574, -5654, -6728? -7796 What is next in -633331, -633349, -633401, -633505, -633679? -633941 What is next in 37043498, 74086976, 111130444, 148173896, 185217326, 222260728, 259304096? 296347424 What comes next: 1425391, 2850863, 4276335, 5701807, 7127279
{ "pile_set_name": "DM Mathematics" }
ase 8) to base 11. 54a387 96691 (base 12) to base 5 22313330 Convert -113231320 (base 4) to base 9. -157227 14460345 (base 7) to base 10 1375953 Convert 112152 (base 7) to base 2. 100111000001100 Convert 739398 (base 12) to base 2. 110111100010111100100 What is -2d573 (base 15) in base 13? -51804 What is -10014113 (base 6) in base 8? -1047035 Convert -10101110011100010 (base 2) to base 11. -61115 -632177 (base 9) to base 3 -201002012121 Convert 121352 (base 9) to base 7. 423245 Convert 2141300301 (base 5) to base 3. 22201110021100 1051aa (base 14) to base 6 15455014 Convert -2001113231 (base 4) to base 6. -15205125 What is -40408c (base 14) in base 7? -24244235 Convert -5808 (base 15) to base 12. -a98b 2264c (base 15) to base 2 11010101101101110 What is -7910a (base 15) in base 5? -44304420 Convert -12200103421 (base 5) to base 3. -1000012110220200 Convert 5648480 (base 10) to base 14. a706ac What is 2d3396 (base 14) in base 8? 6025610 What is 10223444 (base 6) in base 4? 1020332110 What is 170730 (base 9) in base 3? 12100211000 172555 (base 10) to base 5 21010210 320213320 (base 4) to base 2 111000100111111000 What is 105053 (base 10) in base 3? 12100002212 What is 11101001101110010001 (base 2) in base 15? 13d9be 10130203123 (base 5) to base 10 10397288 What is -3df1aa (base 16) in base 4? -33133012222 What is -10011000011100001100 (base 2) in base 7? -5210253 Convert 22254400 (base 8) to base 12. 1739940 5146d5 (base 16) to base 5 2330422144 -112350111 (base 6) to base 4 -13330132123 What is 1a8a08 (base 14) in base 4? 3212323300 5a583 (base 11) to base 14 23ad5 -306525 (base 11) to base 15 -9aa9b What is -6593a (base 12) in base 13? -49234 -20011311 (base 4) to base 8 -100565 Convert 1c24604 (base 14) to base 9. 28427643 Convert 66b18 (base 13) to base 14. 4bd24 What is 5329725 (base 10) in base 6? 310122353 What is -677517 (base 9) in base 11? -25792a -122000021022 (base 3) to base 4 -1101233120 What is 1377860 (base 12) in base 4? 32311330020 45b515 (base 13) to base 8 6234417 Convert -2342362 (base 8) to base 13. -195555 21002112210 (base 3) to base 4 202011312 11b731a (base 12) to base 8 15204006 What is 37062 (base 16) in base 5? 24203003 Convert 1001101000010010110 (base 2) to base 15. 63762 What is -11111100001101000111 (base 2) in base 9? -1844042 100102122201 (base 3) to base 13 66664 2222413340 (base 5) to base 3 100012100220002 What is -13000021310 (base 4) in base 15? -263d5b Convert 189751 (base 14) to base 13. 246775 Convert -221012100 (base 3) to base 14. -69a1 What is -3a23903 (base 11) in base 15? -92715a Convert 5a6720 (base 11) to base 12. 3a3a34 What is -452023 (base 8) in base 15? -30330 68d06 (base 14) to base 7 2111306 -1656401 (base 9) to base 3 -1201220110001 Convert -314636 (base 10) to base 4. -1030310030 10221100202020 (base 3) to base 15 2b5470 -21001422 (base 5) to base 10 -172112 What is 32cc6c (base 13) in base 14? 2331b5 1101001110000 (base 3) to base 2 10110010000011101100 -341013400 (base 5) to base 13 -407333 Convert -200aaa4 (base 11) to base 14. -6887b6 Convert 403023 (base 7) to base 12. 33616 What is 102232353 (base 6) in base 3? 10101002110020 -209c4 (base 16) to base 10 -133572 What is -79494 (base 14) in base 12? -122536 What is -102221110 (base 4) in base 9? -125677 Convert -2bbc4 (base 14) to base 11. -75174 What is 55e53 (base 16) in base 6? 11312455 Convert 90a38 (base 13) to base 14. 6a44a What is 5511351 (base 7) in base 2? 10100100110110000111 What is 111012 (base 6) in base 15? 2b4b What is -111000012121 (base 3) in base 5? -31143110 What is 3a99a7 (base 12) in base 5? 222031311 Convert -224530 (base 9) to base 10. -134568 Convert -b330f (base 16) to base 3. -1101021210222 18b91 (base 12) to base 14 d2d7 Convert -19db57 (base 16) to base 7. -20255245 Convert -65c44 (base 15) to base 3. -121102121101 What is -2152413 (base 6) in base 12? -52709 Convert 4c0bc (base 16) to base 7. 2435055 9240702 (base 11) to base 9 33642415 What is -60b7 (base 15) in base 10? -20422 What is -1380736 (base 11) in base 4? -21003101320 Convert 1432641 (base 8) to base 14. a8437 -6a2a26 (base 13) to base 12 -a16050 What is 56425463 (base 7) in base 3? 100012211020102 What is 260623 (base 10) in base 7? 2133556 Convert -1355004 (base 8) to base 4. -1131220010 What is -3c96b6 (base 13) in base 14? -2a6671 Convert 1b687a (base 13) to base 7. 5644051 What is 142c40 (base 16) in base 15? 1b1ab8 -51331 (base 12) to base 11 -72602 Convert 18e791 (base 15) to base 13. 336367 4881053 (base 9) to base 3 11222201001210 What is -1253123 (base 8) in base 9? -582723 What is -6a167 (base 11) in base 10? -101350 What is -1976442 (base 10) in base 5? -1001221232 22aa99 (base 12) to base 15 b04d3 What is -110111101111001101001 (base 2) in base 5? -431421114 What is 1100100101011100001101 (base 2) in base 11? 1953719 What is -1101001100000101110111 (base 2) in base 5? -1341114044 What is 1000010100011101100010 (base 2) in base 14? 40ab50 21102012100 (base 3) to base 8 435030 Convert -23302302 (base 4) to base 3. -2110021010 Convert -142982 (base 12) to base 13. -ba2b4 -1365146 (base 7) to base 10 -184274 What is 45340 (base 12) in base 9? 150253 Convert 23351 (base 7) to base 3. 22020202 -2c48f (base 16) to base 15 -38b2b -1046213 (base 8) to base 4 -1010302023 What is 111222133 (base 4) in base 10? 88735 What is 4850 (base 11) in base 15? 1d32 What is -110101212000 (base 3) in base 9? -411760 Convert 688612 (base 12) to base 7. 20140151 Convert 22441344 (base 6) to base 7. 5602102 110100111001001001 (base 2) to base 15 442d4 Convert -41bec (base 16) to base 12. -10ba10 Convert -1000031 (base 6) to base 9. -71021 Convert 1301201332 (base 4) to base 2. 1110001100001111110 -365a6a (base 15) to base 11 -1517277 What is -141262 (base 7) in base 13? -c31c -4a6947 (base 11) to base 14 -16b644 -27c9ae (base 15) to base 11 -109941a Convert 11121202000222 (base 3) to base 8. 11273402 What is -102210011021021 (base 3) in base 8? -27707042 3171807 (base 10) to base 14 5c7c99 Convert -6171150 (base 8) to base 16. -18f268 Convert 32003 (base 14) to base 6. 2330551 What is -6572395 (base 10) in base 15? -89c59a Convert -1030632 (base 9) to base 13. -16411a What is -1740102 (base 8) in base 12? -205b6a What is 15a39 (base 15) in base 2? 10001000010101100 What is 450454 (base 9) in base 11? 174426 What is 110111010101101 (base 2) in base 10? 28333 Convert 3004023132 (base 5) to base 16. 5a62d6 -a3a962 (base 13) to base 15 -507774 Convert -2a5303 (base 14) to base 7. -15346503 -77406 (base 10) to base 8 -227136 4223025 (base 12) to base 8 57507135 Convert -334122221 (base 5) to base 11. -917018 234401013 (base 6) to base 7 52354350 Convert -d2ec3 (base 16) to base 5. -210121224 What is -12013423 (base 5) in base 12? -53b34 What is 98b5a8 (base 15) in base 7? 115601012 Convert -1b6e0 (base 15) to base 11. -61111 118761 (base 11) to base 16 2db76 2313232121 (base 4) to base 6 24043545 What is -2601373 (base 8) in base 16? -b02fb What is -654117 (base 11) in base 16? -ff1ee What is -51546 (base 9) in base 14? -c553 What is -12122011222221 (base 3) in base 8? -13332403 What is -2112220220 (base 3) in base 12? -250b0 -7234 (base 11) to base 2 -10010101111100 Convert 2a626 (base 13) to base 15. 18b28 13421a (base 11) to base 9 350746 Convert 23010010 (base 5) to base 10. 203755 -10a742 (base 11) to base 15 -36dd9 -38915 (base 12) to base 11 -53124 -131030240 (base 5) to base 2 -10011100111000001010 -13899 (base 10) to base 3 -201001210 -115043 (base 10) to base 11 -79485 -4276376 (base 8) to base 7 -12512300 What is -41a07 (base 15) in base 3? -101120111121 What is 27a0c (base 13) in base 9? 122707 -1adc513 (base 14) to base 11 -7650560 What is 2a5842 (base 11) in base 7? 4022166 Convert 151326 (base 8) to base 7. 313234 What is 100011010001110101001101 (base 2) in base 16? 8d1d4d Convert 345814 (base 11) to base 8. 2060753 997a0 (base 14) to base 12 15b300 87051 (base 13) to base 16 3b8dd 12111102110 (base 3) to base 8 323251 What is -3701570 (base 11) in base 2? -11000100101010000010101 What is -1a6098 (base 11) in base 14? -82dd8 What is 3503d1 (base 14) in base 7? 21232151 -5762780 (base 10) to base 15 -78c755 Convert ab448 (base 12) to base 6.
{ "pile_set_name": "DM Mathematics" }
replacement from hkqkqtq? 1/7 Four letters picked without replacement from xxdxxvdddxxxxx. What is prob of picking 4 d? 1/1001 What is prob of picking 2 a when two letters picked without replacement from {a: 10, x: 2}? 15/22 Two letters picked without replacement from {i: 1, o: 2, l: 1, x: 4, f: 2}. Give prob of picking 1 f and 1 l. 2/45 What is prob of picking 1 l, 1 b, 1 x, and 1 p when four letters picked without replacement from {w: 1, x: 1, p: 1, l: 1, c: 2, b: 1}? 1/35 Three letters picked without replacement from {q: 7, l: 5, p: 4}. What is prob of picking 2 q and 1 l? 3/16 Four letters picked without replacement from {k: 1, i: 4, t: 8}. What is prob of picking 3 t and 1 i? 224/715 Four letters picked without replacement from {p: 3, d: 2, o: 2, g: 1, c: 4}. What is prob of picking 2 o and 2 c? 2/165 What is prob of picking 1 g and 1 l when two letters picked without replacement from {g: 6, l: 2}? 3/7 Two letters picked without replacement from rfjrjjrjxgrijirjgr. Give prob of picking 1 r and 1 g. 4/51 Four letters picked without replacement from ooooooooohooo. What is prob of picking 4 o? 9/13 What is prob of picking 1 q, 1 p, and 1 j when three letters picked without replacement from {p: 3, h: 1, q: 2, j: 4, k: 7}? 3/85 Calculate prob of picking 1 j and 3 n when four letters picked without replacement from {j: 5, n: 5}. 5/21 Two letters picked without replacement from {f: 2, q: 3, v: 3, j: 1, d: 3, c: 1}. What is prob of picking 1 j and 1 f? 1/39 What is prob of picking 2 l, 1 w, and 1 f when four letters picked without replacement from lflweeelwwellellfwf? 21/323 What is prob of picking 2 g when two letters picked without replacement from {g: 6, s: 13}? 5/57 Calculate prob of picking 2 w and 2 n when four letters picked without replacement from {w: 2, n: 7, y: 4}. 21/715 Calculate prob of picking 1 t, 1 z, 1 n, and 1 g when four letters picked without replacement from {z: 1, t: 3, s: 7, g: 4, n: 3}. 1/85 Two letters picked without replacement from {z: 3, p: 12}. Give prob of picking 2 p. 22/35 What is prob of picking 2 y when two letters picked without replacement from {y: 15, m: 5}? 21/38 Four letters picked without replacement from {d: 3, t: 3, h: 2, b: 10}. What is prob of picking 2 t, 1 b, and 1 h? 1/51 What is prob of picking 3 k when three letters picked without replacement from {i: 4, v: 5, k: 6}? 4/91 What is prob of picking 1 n and 2 o when three letters picked without replacement from ookkknik? 1/56 Calculate prob of picking 2 l when two letters picked without replacement from llxxlgxpllllglllxxl. 55/171 Three letters picked without replacement from {u: 7, f: 1, w: 2, k: 2, z: 1, d: 1}. Give prob of picking 2 k and 1 u. 1/52 Four letters picked without replacement from {b: 11, n: 8, f: 1}. Give prob of picking 1 f and 3 b. 11/323 Calculate prob of picking 1 d and 1 m when two letters picked without replacement from {d: 7, e: 1, m: 1}. 7/36 Two letters picked without replacement from {w: 3, b: 4, m: 1, f: 1, u: 2, g: 1}. Give prob of picking 1 u and 1 m. 1/33 Three letters picked without replacement from xxixxvbxvbivixxxb. Give prob of picking 1 x and 2 v. 3/85 What is prob of picking 3 m when three letters picked without replacement from rmmrmmrmrmm? 7/33 Four letters picked without replacement from {x: 6, g: 6}. Give prob of picking 2 g and 2 x. 5/11 Calculate prob of picking 1 n and 3 b when four letters picked without replacement from ddndbkdnbndkdnb. 4/1365 Calculate prob of picking 1 e, 1 w, and 1 x when three letters picked without replacement from swffxecffsxfs. 1/143 Three letters picked without replacement from {u: 2, x: 2, q: 3, t: 2, h: 6}. Give prob of picking 1 q and 2 x. 3/455 Four letters picked without replacement from {s: 6, z: 2, d: 11}. Give prob of picking 2 z, 1 d, and 1 s. 11/646 Four letters picked without replacement from nzzezpzzeppnenz. Give prob of picking 3 p and 1 n. 1/455 Four letters picked without replacement from yqyqyqqqqy. Give prob of picking 3 y and 1 q. 4/35 Two letters picked without replacement from {g: 1, k: 1, n: 2, t: 2, m: 1}. Give prob of picking 2 n. 1/21 Calculate prob of picking 2 b when two letters picked without replacement from vvvbbvvbvv. 1/15 What is prob of picking 2 s and 1 k when three letters picked without replacement from cskscckkhcccckch? 1/140 Calculate prob of picking 1 f and 2 b when three letters picked without replacement from {z: 4, p: 1, f: 4, b: 3, j: 1}. 6/143 Four letters picked without replacement from {o: 2, q: 1, t: 4, w: 2, h: 3}. What is prob of picking 1 q, 2 h, and 1 o? 2/165 Calculate prob of picking 2 d and 1 a when three letters picked without replacement from rmddnmmydmadm. 3/143 What is prob of picking 2 j when two letters picked without replacement from {j: 16, s: 1, y: 1}? 40/51 Calculate prob of picking 1 o, 1 q, and 1 n when three letters picked without replacement from {o: 3, q: 2, j: 1, n: 2, h: 2, t: 4}. 3/91 Two letters picked without replacement from xvxllmllvm. Give prob of picking 1 m and 1 v. 4/45 Calculate prob of picking 2 j when two letters picked without replacement from {j: 7, d: 9}. 7/40 Two letters picked without replacement from ydpypoqss. What is prob of picking 1 o and 1 p? 1/18 What is prob of picking 1 z, 2 g, and 1 w when four letters picked without replacement from {g: 2, d: 2, z: 8, i: 3, w: 5}? 8/969 Two letters picked without replacement from xsessexeees. Give prob of picking 1 e and 1 s. 4/11 Calculate prob of picking 4 g when four letters picked without replacement from gggg. 1 Calculate prob of picking 2 p and 1 j when three letters picked without replacement from {u: 3, y: 4, p: 2, j: 2}. 2/165 What is prob of picking 3 l when three letters picked without replacement from {l: 4, c: 14}? 1/204 Calculate prob of picking 1 n and 1 k when two letters picked without replacement from {p: 1, n: 1, d: 4, k: 2, r: 1}. 1/18 What is prob of picking 1 m and 3 r when four letters picked without replacement from {m: 2, r: 12, o: 3, z: 3}? 88/969 Calculate prob of picking 2 r when two letters picked without replacement from {q: 1, l: 2, o: 13, r: 3}. 1/57 Four letters picked without replacement from {n: 4, x: 3, a: 1, v: 6}. What is prob of picking 3 x and 1 a? 1/1001 Three letters picked without replacement from {h: 4}. What is prob of picking 3 h? 1 What is prob of picking 2 b and 1 v when three letters picked without replacement from bbvdbddd? 3/56 Four letters picked without replacement from {b: 2, o: 6, v: 7}. Give prob of picking 2 o and 2 b. 1/91 Four letters picked without replacement from {e: 3, q: 2, a: 4, b: 1}. What is prob of picking 2 e and 2 a? 3/35 What is prob of picking 3 s when three letters picked without replacement from ggggaaaaggsgsgas? 1/560 Two letters picked without replacement from {m: 1, w: 2, f: 1, c: 1, u: 1, p: 2}. What is prob of picking 1 u and 1 m? 1/28 Two letters picked without replacement from {f: 1, n: 1, l: 1, z: 1, r: 1}. What is prob of picking 1 z and 1 n? 1/10 What is prob of picking 1 x and 1 z when two letters picked without replacement from {x: 3, e: 4, z: 2, v: 10}? 2/57 What is prob of picking 1 v, 1 a, and 1 z when three letters picked without replacement from zavvazazak? 1/5 Two letters picked without replacement from {y: 7, x: 3, n: 1, t: 3}. Give prob of picking 1 y and 1 x. 3/13 Three letters picked without replacement from jjxjjxxzjxjjxazjjjaz. What is prob of picking 1 z, 1 a, and 1 x? 1/38 Four letters picked without replacement from {e: 10, a: 1, h: 4, p: 3}. What is prob of picking 2 e, 1 a, and 1 p? 3/68 Four letters picked without replacement from xxxmxxmxmmxmx. Give prob of picking 2 m and 2 x. 56/143 Two letters picked without replacement from qqqpp. What is prob of picking 2 q? 3/10 What is prob of picking 1 p, 1 e, and 1 i when three letters picked without replacement from {u: 1, i: 2, e: 1, o: 3, p: 3}? 1/20 Two letters picked without replacement from {h: 6}. What is prob of picking 2 h? 1 Four letters picked without replacement from {d: 1, p: 10, g: 6}. What is prob of picking 3 p and 1 g? 36/119 Four letters picked without replacement from xxtttstxsttt. Give prob of picking 2 s and 2 t. 7/165 Two letters picked without replacement from {l: 3, o: 2}. What i
{ "pile_set_name": "DM Mathematics" }
5/(-10) - l/(-4). What is the greatest common factor of y and 5? 5 Suppose 5*v - 15 = -c, -7 = 3*v + 2. Let m be -77*(-3)/(-6)*-10. Let b = -367 + m. What is the highest common factor of c and b? 6 Let j be ((-8)/56*-14)/((-2)/(-30)). Suppose j*r = 128 - 8. What is the highest common factor of r and 19? 1 Let r(d) = -52 + 12 + 221*d - 215*d. Let v be r(10). What is the highest common factor of v and 90? 10 Let s be (-46 + -17)*16/(-28). Calculate the greatest common factor of s and 5616. 36 Suppose 0 = -5*d - m + 38, 53 = -4*m + 85. What is the greatest common divisor of d and 81? 3 Suppose -107*v - 22*v + 2132 + 3415 = 0. What is the greatest common divisor of 1075 and v? 43 Suppose -5*w + 137*y = 139*y - 40748, 32580 = 4*w - 3*y. Calculate the greatest common divisor of 168 and w. 84 Suppose -2*c - 267 = -3*d + 99, -5*d + 5*c = -600. What is the greatest common factor of 112 and d? 14 Suppose 69 = -4*a - 3. Let n = a + 19. Let t = n + 17. Calculate the highest common divisor of 12 and t. 6 Let a = 111 - 97. Let o(z) = 4*z**2 - 13*z - 6. Let t be o(-9). Suppose -6*p = -909 - t. Calculate the greatest common factor of a and p. 14 Let r = -2348 + 2491. Let v(d) = 12*d + 2. Let q be v(2). Calculate the greatest common factor of q and r. 13 Let n(y) = 25*y**2 + 48*y + 86. Let j be n(-7). Calculate the highest common divisor of j and 637. 13 Suppose 13*y - 280 - 58 = 0. Suppose -2*g = -16 - y. What is the greatest common factor of 7 and g? 7 Let l = 29499 + -29477. Let t(v) = 22*v. Let m be t(1). What is the highest common divisor of l and m? 22 Suppose 0 = -213*s + 214*s + 4*r - 31, -s + 2*r + 25 = 0. Calculate the highest common factor of 117 and s. 9 Let h(d) = d**2 - 21*d + 164. Let g be h(11). What is the highest common divisor of 9612 and g? 54 Let x = -158 + 158. Suppose x = -26*p + 29*p - 168. Calculate the greatest common divisor of p and 28. 28 Let l be (-1168)/1460 - (-2)/(-3*(-5)/31146). What is the highest common divisor of 24 and l? 24 Suppose -5*k + 2047 = -218. Suppose -41 = -19*a + k. Let x be 3/3 - (-1 - 50). Calculate the highest common factor of a and x. 26 Let m be -2 - (-260 + 1395/45 + (-18)/2). Suppose 3*w + 2*d = 167, -3*w + 65 = -3*d - 127. What is the greatest common divisor of w and m? 59 Let v be (-6)/(-16) - (-2380060)/1888. What is the greatest common factor of 52 and v? 13 Let q be (570/(-18))/((-55)/132). Calculate the greatest common divisor of q and 2375. 19 Suppose 48 = q - 5*v, 5*v - 55 = -4*q + 212. Suppose 105*m - 5653 = 52*m - 2314. What is the greatest common factor of q and m? 63 Suppose -5*m = r - 1135, -m - 2*r + 218 = -0*r. Let g be 360/140*(-196)/(-6) - (5 - -3). Calculate the highest common divisor of g and m. 76 Suppose -3*c - 3*q = -183, -3*c - 2*q = -4*q - 208. Calculate the highest common factor of c and 1738. 22 Let y = 28 + -4. Let v(j) = 6*j + 4. Let t be v(2). Suppose -a - 5*h - 5 = -21, -a + h = -t. Calculate the greatest common factor of a and y. 8 Let b = -2913 - -2926. Suppose -2*w + 0 = 24. Let z be (w/(-16))/((-3)/(-468)). Calculate the highest common divisor of b and z. 13 Let l(p) = 10*p**3 + 23*p**2 - 195*p - 18. Let u be l(6). Calculate the greatest common divisor of u and 136. 8 Suppose -2*u - 8 = -2*v + 38, 79 = -3*u + v. Let l = u + 36. Suppose 10*n - 320 = l*n. What is the highest common factor of n and 32? 32 Let f(l) = -2*l - 10. Let x be f(-6). Suppose 4*z + 13 = -v + 2*v, 5*z + 13 = -x*v. Let y be -66*(-5)/(-15)*z. Calculate the highest common factor of y and 6. 6 Suppose -106 = -4*c + 1162. Let p = 357 - c. Calculate the greatest common factor of 20 and p. 20 Let z be 32/40*15/6. Suppose -4*m = -z*m - 360. Suppose -5*p + 3*v + m = 0, -2*p + 3*v + 81 = -0*v. What is the highest common divisor of p and 22? 11 Suppose 13*c - 32*c = -133. Let r be ((-6)/c)/((-32)/14 + 2). Suppose 4*t - 13 = p, 7*t = 2*t + 2*p + 20. What is the highest common divisor of r and t? 1 Suppose 0 = 3*t + 2*c - 65, 6*t + 41 = 8*t - c. Calculate the highest common divisor of t and 81. 3 Let q(c) = -28*c**3 - c**2 + 2*c + 1. Let l be q(-1). Let t be (-3 - (-45)/6)/((-1)/6). Let g = t - -92. What is the highest common factor of g and l? 13 Let t(y) = 105*y - 1301. Let x be t(18). What is the highest common factor of x and 95? 19 Let j be 2*1*(-113)/2. Let d = -77 - j. Suppose 31*l - 397 = 513 - 73. Calculate the highest common divisor of d and l. 9 Let f be (-1)/((-1)/(-2))*-1. Suppose 1044 = 12*b - 6*b. Suppose 179*w - 5 = b*w. What is the highest common factor of f and w? 1 Let r(t) = 0*t + t**3 + 37 - 10*t**2 - 2*t + t - 5*t - t. Let y be r(11). What is the greatest common factor of y and 216? 27 Let p = -1837 + 2002. What is the highest common divisor of p and 600? 15 Let d = -344 + 728. Let n = 416 - d. What is the highest common factor of n and 272? 16 Let m(n) = 10*n**2 - 19*n + 310. Let q be m(9). Calculate the highest common divisor of 292 and q. 73 Let j be 10 - (-8)/(-16)*-62. Suppose -37 = 3*b - 160. What is the highest common factor of j and b? 41 Let y be (-5147)/(-19) - (-10)/95. Suppose -171 + y = 5*g. Calculate the greatest common factor of g and 110. 10 Let o(d) = -3*d**2 + 5*d + 14. Let y be o(-4). Let q be -3*312/y*3. Suppose 0 = c - 0*c - 78. Calculate the highest common factor of q and c. 26 Suppose -44*j - 13696 + 58224 = 0. What is the highest common factor of j and 176? 44 Suppose -i = 2*i - 810. Let z be (-1*7)/(-1) - 75/1500*-460. What is the highest common divisor of z and i? 30 Let q be (-4)/6 - (-556)/6. Let h = -12557 + 12787. Calculate the greatest common divisor of h and q. 46 Suppose -79*r + 83*r = 3*f - 8, -56 = -5*f - 4*r. What is the highest common divisor of f and 30? 2 Suppose -3 = -3*f + 2*b + 715, -3*f - b = -712. Suppose -3*p + f = -1538. What is the highest common factor of p and 37? 37 Let q(i) = 4*i**2 + i + 2. Let r be q(-3). Suppose 6*l - 8*l - 12*x = -6*l + 1060, 0 = 3*x - 15. What is the greatest common factor of r and l? 35 Let x(u) = -u**3 + 18*u**2 - 25*u + 58. Let b be x(16). Let n(z) = -z**3 + 17*z**2 + 38*z + 20. Let f be n(19). What is the greatest common factor of b and f? 10 Let u = 553 - 553. Suppose u = -37*s + 2429 - 431. Calculate the greatest common divisor of 54 and s. 54 Suppose -2*m - c = -28, 17*c - 13*c - 16 = 0. Let y be (31/(-3))/((-61)/1098). Calculate the greatest common divisor of y and m. 6 Suppose 0 = 15*z - 2617 - 2558. Calculate the greatest common divisor of z and 483. 69 Let j(r) = r**2 - 9*r - 10. Let c be j(11). Let x(z) = -z**3 - 26*z**2 + 153*z + 26. Let v be x(-31). What is the greatest common factor of c and v? 4 Let a be 42/(-12)*(376*46)/(-8). What is the greatest common factor of 322 and a? 161 Let b be (49 - -2) + -185 + 199. What is the greatest common divisor of 5161 and b? 13 Suppose 0 = 3*o + 2*p - 43 + 29, -20 = -5*o - 5*p. Let z = 244 + -142. Calculate the highest common divisor of o and z. 6 Suppose -2*b = 4*y - 7338, 3*b - 33*y + 37*y - 11013 = 0. Calculate the highest common divisor of b and 420. 105 Let i(g) = g + 4. Suppose 45 = -l + 1. Let w = l + 56. Let q be i(w). What is the highest common factor of q and 16? 16 Let l be (16/(-12))/(2/(-72)). Let m be (-1)/2 - 93/2. Let t = 63 + m. Calculate the highest common divisor of l and t. 16 Let s(d) = 3*d**2 - 74*d - 13. Let h be s(25). Suppose h*n - 220 + 28 = 0. Calculate the greatest common factor of n and 12. 4 Let x be (-1)/11 + (-702)/143 + 100/4. What is the highest common divisor of x and 1956? 4 Suppose -84*h = -2*h - 29*h - 252545. Calculate the greatest common divisor of 10 and h. 5 Let w = 1614 + -324. Let g = w - 966. What is the highest common divisor of g and 24? 12 Let k be (6 + -3)/(-3) + 5. Let q be 1/(k/(-1) - 292/(-72)). What is the greatest common factor of q and 9? 9 Let v = -94 - -131. Let u = -2 + v. Suppose r = -5*n + u + 48, n + r - 19 = 0. What is the greatest common factor of 40 and n? 8 Suppose 16*n + 64*n - 2512 - 848 = 0. What is the highest common divisor of 364 and n? 14 Suppose 2*m = 4*m + 10. Let o(w) = w**3 + 4*w**2 - 5*w + 4. Let q be o(m). Suppose -u = 5, 5*f + q*u - 77 = -12. What is the highest common divisor of 85 and f? 17 Let v be (494/(-95) + 1)*20/(-3). What is the greatest common divisor of v and 770? 14 Let n b
{ "pile_set_name": "DM Mathematics" }
30. 90 What is the smallest common multiple of 13/(-26)*(-35 + -2 + 1) and 18? 18 Suppose -8*g = -7*g + 2. Calculate the smallest common multiple of 8 and (0 + g)*(3 + -8). 40 Calculate the common denominator of -37/11 and 177/(-112) - 144/(-126). 176 Let g be 40*-40 - (-6 - -5). Let o = -509 - g. Let c = o - 21869/20. What is the common denominator of 23/16 and c? 80 Let d = -88937/12 - -7407. Find the common denominator of d and 77/36. 36 Suppose 0 = c - 2*i + 2 + 6, -3*c + 3*i = 9. Suppose -z - 4*z - 25 = 0, 2*z + 22 = c*v. What is the least common multiple of v and (12/5)/((-1)/(-5))? 12 Let a(o) = -2*o**3 - 36*o**2 - 4*o - 6. Let h be a(-18). Let u = -58 + h. Calculate the smallest common multiple of 6 and u. 24 Let p = 147/200 - -2081/5400. Find the common denominator of p and 28. 108 Let z = 521/3 + -26149/150. What is the common denominator of -117/50 and z? 50 Calculate the common denominator of -49/220 and 9*-3*5/495. 220 Let w = -31977/2 - -16348. Let x be (-4)/(-48)*25137/(-6). Let v = w + x. Calculate the common denominator of -3/4 and v. 8 Let i = -5951/2040 + 124/85. What is the common denominator of i and (18 - (-19856)/(-1080))*(-15)/(-6)? 216 Suppose 5*m = -a + 15, -4*m + 0*a = 3*a - 23. Let p = -4 + 10. Calculate the lowest common multiple of p and m. 6 Suppose -2*f = 2 + 2. Let g be (256/12)/(-4)*(-12)/(-8). Find the common denominator of 1/(g/204) + f and -13/12. 12 Find the common denominator of 20/77 and 222/(-112) - 80/(-20). 616 Suppose 0 - 990 = 10*b. Find the common denominator of (-4 - 402/b)*75 and 37/2. 22 Let a = 500 + -476. Calculate the least common multiple of 429 and a. 3432 Let x be (-24)/(-8) + (1 - 343). Let l = 220607/20208 + -1/6736. Find the common denominator of l and x/66 + (-2)/(-2). 132 Let m(r) = r**2 + 5*r - 11. Let y be m(-7). Suppose -4*t = -3*z - 11 - 5, 0 = y*z. What is the smallest common multiple of t and 9? 36 Let q(d) = -12*d + 18. Let i be q(-8). Find the common denominator of 25/(-110)*i/(-10) and 74/6*6/(-20). 110 Let q(z) = -z**3 + 5*z**2 + 8*z - 14. Let b be q(4). Calculate the common denominator of b/(-153)*(-55)/2 and 65/12. 36 What is the smallest common multiple of 1 and (-3)/10 - (-7706)/20? 385 Let h(c) = 42*c + 710. What is the smallest common multiple of 72 and h(-16)? 1368 Let q be 16/(-3)*3/2. Let l be (35/28)/((-2)/q). Suppose -l*s = -9*s + 20. Calculate the lowest common multiple of 1 and s. 5 Calculate the common denominator of 115/12 and ((-2)/328)/((-589)/1798). 9348 Find the common denominator of (-462)/144 + -1*3/3 and (-53)/(-12)*16/(-24). 72 Find the common denominator of (-11286)/(-532) + 4/14 and -81/10. 10 Suppose 295 = z - 3*u, -z + 259 = 3*u - 66. Let g = -279 - z. What is the common denominator of g/1292 + 2/8 and -111/10? 170 Let z(r) = -r**2 + 8*r - 24. Let b be z(4). What is the common denominator of 27/22 and (318/b)/((-132)/8)? 22 Let b(s) = -s**3 - 3*s**2 + 2. Suppose 0 = o - 3*w - 3 - 3, w = -4*o - 15. What is the smallest common multiple of 1 and b(o)? 2 Let h(n) = n**2 + 10*n - 3. Let k be h(-10). Let g be (-1)/k*6/(-1). Let u = 7 - g. Calculate the least common multiple of u and 8. 72 Let v(i) = i**3 + 6*i**2 - 5. Let x be v(-5). Suppose -4*u - x = -28. What is the smallest common multiple of 16 and u? 16 Suppose -n = 21 - 0. Let d(o) = -o**3 + 6*o**2 + o - 2. What is the lowest common multiple of d(6) and (-4)/(-6) + (-7)/n? 4 Suppose 4*f + 6*g - 3*g + 17007 = 0, 0 = g + 5. Let n = 38185/9 + f. What is the common denominator of n and 0 - (91/4 - -2)? 36 Let j = -87923/18 - -4880. What is the common denominator of -55/14 and j? 126 What is the common denominator of (-104)/(-208)*-37*4/150 and 8? 75 Suppose -6 = -4*x + 2*w, -3*w = 4*x - 4 + 3. Let b be -3 + x - 370/(-5). Calculate the lowest common multiple of b/(-63)*7/(-2) and 10. 20 Let f(k) = -k**3 - 26*k**2 - 27*k - 30. Calculate the lowest common multiple of f(-25) and 16. 80 Suppose 3*i = -2*o + 26, 0*i - 4*i + 36 = 4*o. Let g = -7 + i. Calculate the common denominator of -71/14 and g + 4/((-8)/(-53)). 14 Let h = -60530 - -3389773/56. What is the common denominator of -11/24 and h? 168 Suppose -3*o + 4*t + 27 = 0, 2 = 4*o + 5*t - 3. Suppose 5*b = -2*p + 3*p - 40, p + b = 28. What is the least common multiple of p and o? 30 Let u(y) = -y**2 - 7*y + 8. Let f = 27 - 25. Suppose -4*g + 20 = -g + f*v, -32 = -3*g + 4*v. Calculate the smallest common multiple of u(-7) and g. 8 Let s = 696 - 692. What is the lowest common multiple of s and 2? 4 Let z = 3475/4 + -58967/68. What is the common denominator of 27/68 and z? 68 Let p(z) = -z**2 - 18*z - 10. Calculate the smallest common multiple of 105 and p(-17). 105 Let b = -811 - -421. Let s = 161533 - 1289125/8. Let h = s + b. What is the common denominator of -3/11 and h? 88 Let j(b) = b**2 - 26*b - 517. Calculate the least common multiple of 16 and j(-14). 688 Let r be 186724/(-91256) - (0 - 2/4). Let t = r + -17/1342. What is the common denominator of t and -65/4? 68 Let b be ((-2)/(-3))/((-6)/9). Let v = b - -11. Suppose m - 2*q = 3*m - 12, 27 = 5*m + 2*q. What is the least common multiple of m and v? 10 Let k = -1189/5768 - -11/56. Let v be (-1641)/(-103)*(-1)/(-7). Let g = k - v. Find the common denominator of -23 and g. 7 Let m(o) = 10*o. Suppose -36 = -5*u + u - 2*d, u + 2*d - 9 = 0. Let c(n) = n**3 - 9*n**2 + n - 7. What is the smallest common multiple of c(u) and m(2)? 20 What is the common denominator of (-18)/14*304/(-48) and 35/194? 1358 Let a = 28 - 8. Suppose 2*b - 4*u = -b + 62, -a = 4*u. Calculate the smallest common multiple of b and 20. 140 Let j = -21 - -23. Suppose k = 3*i - 7, -3*k - 12 = -j*i - 5. What is the least common multiple of i and 16? 16 What is the common denominator of 71/6 and (-310)/48 - (-11)/11? 24 Let f = -76 + 79. Suppose -f*s + 0*s + 11 = b, 2*s - 19 = -3*b. Calculate the lowest common multiple of 16 and s. 16 Suppose 0 = -4*z - 7 - 5. Let m be (-1 + z + -1963)*-2. Let r = 125967/32 - m. What is the common denominator of r and -67/16? 32 Let a = -3069 - -18263/6. What is the common denominator of ((-274)/12)/((-17)/85*-15) and a? 18 Let o = 6613/6 + -1102. Find the common denominator of o and 27/248. 744 Let d = -11 + 18. Suppose -2*j + 3*v = 2*v - 4, -j = 5*v + 9. Calculate the smallest common multiple of j and d. 7 Suppose 5*u = -5*m - 0*u + 555, 0 = -m - 5*u + 91. Calculate the lowest common multiple of 10 and m. 580 Suppose 0 = -2*d + 4*r + 16, -4*d - 3*r = -14 + 37. What is the common denominator of 0/(d + -4) - 70/24 and -43/14? 84 Let p(u) = u**3 - 24*u**2 - 48*u + 30. Calculate the lowest common multiple of 20 and p(26). 1340 Suppose d + 3 = 0, 3*n - 1 + 16 = -5*d. Suppose x - 2620 - 1953 = n. Let f = 50266/11 - x. Find the common denominator of f and 5/9. 99 What is the common denominator of (-10)/360*(-4)/(-6) and 17/81? 162 Let a be 4*(((-63)/6)/7 + 2). Find the common denominator of 1*(-1788)/(-8)*a/54 and -7/4. 36 Let g = 5930656 - 3807482305/642. Let j = -5279 - -564857/107. Let w = g - j. Find the common denominator of 18/41 and w. 246 Let y = -3/21974 + -422977/164805. Find the common denominator of y and 62/39. 390 Let i = 13955839/298 + -46832. Calculate the common denominator of i and 47/22. 3278 Let v(i) = -2*i. Let n = -119 + 121. What is the least common multiple of n and v(-6)? 12 Let y(x) = 2*x - 8. Let o be 6/(-4) + (-132)/(-8). Suppose q - o = 5. Calculate the lowest common multiple of y(6) and q. 20 Let j be 62/(-217) + 718876/14. Let p = j + -3080953/60. Find the common denominator of -53/30 and p. 60 Let p be 423/(-2)*(-6)/(-9). Let c = p - -283/2. Calculate the common denominator of 31/22 and c. 22 Let w be 4 + (-215)/(-105)*3. Let h = w - 2081/210. Calculate the common denominator of 85/14 and h. 210 Let d(z) = 3*z - 16. Let v be d(8). Suppose v*l - 104 = 56. What is the lowest common multiple of l and 10? 20 Let h(p) = -3*p**3 - 4*p**2 + p + 4. What is the smallest common multiple of 4 and h(-4)? 128 Let t(f) = -f**3 + 15*f**2 - 14*f + 21. Let o = -55/194 + -4111/1067. Calculate the common denominator of o and t(14). 22 Let t be ((234/96)/(-13))/(14/(-52)). Let r = 4/7 - t. Find the common denominator of r and -85/22. 88 Calculate the smallest common multiple of 24 and 180/54*1
{ "pile_set_name": "DM Mathematics" }
= k**3 + 12*k**2 + 3*k + 34. What are the prime factors of g(-11)? 2, 61 Let r = -52 - -80. What are the prime factors of r? 2, 7 Suppose 2*g - 61 = 3*k, 2*g - 4*k = 15 + 51. Let m = g + -7. Suppose -3*u + m = -u. What are the prime factors of u? 2 Let j be 1*(-2 + 31) - -3. Let f be (-9)/6*j/(-3). Suppose -2*x = -8 - f. List the prime factors of x. 2, 3 Let z = 86 - 80. List the prime factors of z. 2, 3 Suppose x - 2*b = 4*x - 203, 137 = 2*x + b. List the prime factors of x. 71 Let b be (-1 + 1 - -2) + 2. Suppose 0 = 2*t + 3*q - 60, -126 = -b*t + 2*q - 5*q. What are the prime factors of t? 3, 11 Let k(m) = -m**3 - 3*m**2 - m + 4. Let c be k(-3). Let r = 53 + -36. Suppose 2*n + 2*h - c = 11, -n + r = 3*h. List the prime factors of n. 5 Let p(l) = l + 12. Let k be p(-7). Suppose -s + 2*s = k*f + 51, 0 = -5*s + f + 159. List the prime factors of s. 31 List the prime factors of -6 - -2 - (-21 - -7). 2, 5 Suppose 12 = q + 3*q - 4*l, -3*l + 31 = 5*q. Suppose w - 4*a + 7 = 0, -q*w + 3*a + 11 = -w. What are the prime factors of w? 5 Let v(i) = 0*i**3 + 13*i + 0*i**3 + i**3 + 0*i**3 + 8 - 12*i**2. List the prime factors of v(11). 2, 3, 5 Let r = 0 + 4. List the prime factors of r. 2 Let r(j) = 2*j**2 + 2*j**2 + 6*j**2 + j**2 - 1. Let i be r(1). What are the prime factors of i - (-2 + 1 - -3)? 2 Let f(z) = z**3 - 3*z**2 - 2*z + 1. Let p be f(-2). Let o(c) = 3*c + 7. Let r be o(-5). Let h = r - p. List the prime factors of h. 7 Let c(f) = -f**2 + 16*f - 2. Let l be c(11). Suppose -2*r = -41 - l. What are the prime factors of r? 47 What are the prime factors of (112/(-3) - -2)/(1/(-3))? 2, 53 Let k = 10 - 5. Suppose 22 = 4*j + k*b - 20, 5*j - 5*b = 30. What are the prime factors of j? 2 Suppose 3*k - 4 = -j, -3*k - 2 + 10 = 5*j. Let m be -6 + (0 + 1 - 1). Let g = j - m. List the prime factors of g. 7 Suppose 5*z - 74 = 5*x + 81, 0 = -5*z - 3*x + 187. What are the prime factors of z? 5, 7 Suppose -n + 142 = -0*i - 2*i, 5*i + 285 = 2*n. What are the prime factors of n? 2, 5, 7 Let m = -14 + -2. Suppose -3*s + 5*s + 37 = z, 5*s - 2 = -z. Let h = m + z. List the prime factors of h. 11 Suppose -348 = 2*p + 2*p. What are the prime factors of (-3)/(-3 - 252/p)? 29 Suppose -43 = 4*m + 53. Let v = 17 + m. Let s(q) = -q**3 - 7*q**2 - q + 5. List the prime factors of s(v). 2, 3 Let g = -25 - -34. What are the prime factors of g? 3 Suppose 121 = -5*n + 3*f + 765, 0 = -2*n + 2*f + 256. What are the prime factors of n? 2, 5, 13 Let w = 588 + -409. List the prime factors of w. 179 Suppose -3*n - 2*x + 24 = 0, 0 = -3*n - x + 25 + 2. Suppose 9 = 3*t + 4*j + 3, -j = 5*t - n. List the prime factors of t/5 - 43/(-5). 3 Suppose n - 5*y - 14 = 0, -n = -0*n + 3*y - 14. Let c be 2370/27 - (-2)/9. What are the prime factors of (-4)/n - c/(-14)? 2, 3 Suppose -55 = -3*x - f, 4*x + 3*f - 25 = 40. Suppose 0 = -5*q - 4*b + x, -5*b - 6 = -5*q + 14. List the prime factors of q/(-10) - 60/(-25). 2 Let q be -1 - -4 - (2 - 1). Let z(r) = r**2 + 2*r. Let l be z(q). Suppose 5*d - 3*d = l. What are the prime factors of d? 2 Suppose 4*m = -3*b - 44, -4*b + 0*m = m + 37. Let j = 79 - 55. Let s = b + j. What are the prime factors of s? 2 Let k(r) = -3*r - 1. Let n(v) = -3*v. Let q(j) = 2*k(j) - 3*n(j). Let b be q(2). Let l = b - 1. List the prime factors of l. 3 Suppose -2*q + 4*l = -342 + 64, 3*l = -2*q + 278. List the prime factors of q. 139 Let y = -6 + 8. Suppose n - y*d = -6*d + 16, -5*n - 2*d + 152 = 0. Suppose -5*b - 101 = -4*h, -3*h - 3*b - 2*b = -n. List the prime factors of h. 19 Suppose 5*o = 26 - 1. Suppose -4*x - 18 = -3*m + o, -3*m = 5*x - 59. What are the prime factors of m? 13 Let w(f) be the first derivative of -f**3/3 + 4*f**2 + 4*f + 3. Let p = 25 + -18. List the prime factors of w(p). 11 Let o = 66 + -5. What are the prime factors of o? 61 Let m(o) = o**2 + 9*o - 2. Let t be m(-10). Let w be (-14)/t*(-12)/3. Suppose -2 = -x + w. What are the prime factors of x? 3 Suppose -x + 0*x = 0. Let d = 5 - 4. What are the prime factors of -2*(d + x) - -13? 11 Let n be (-22)/(-10) + 1/(-5). Let h(d) be the third derivative of -d**6/120 + d**5/15 - d**4/24 + d**3/3 - 2*d**2. What are the prime factors of h(n)? 2 Suppose -2*l = 0, l = -4*r - 3*l + 312. What are the prime factors of r? 2, 3, 13 Suppose 4*g - 288 = -0*g. List the prime factors of g. 2, 3 Let a(x) = 6*x**2 - 4*x. List the prime factors of a(3). 2, 3, 7 Let o = 3 + -6. Let i be 1 + (-1)/(o/6). Suppose 3*l = -m - l - 5, 1 = -m - i*l. What are the prime factors of m? 11 Let a(y) = -y**3 - 10*y**2 - 10*y - 5. Let k be a(-9). Let r(q) = -q**3 + 3*q**2 + 3*q - 4. Let w be r(4). List the prime factors of (-1*4)/(k/w). 2 Let k = -207 - -351. List the prime factors of k. 2, 3 Suppose 0 = -3*w + 5*q + 184, -w + 4*q + 19 + 33 = 0. List the prime factors of w. 2, 17 Suppose -i = f - 4 - 0, -4*f = -2*i - 10. Suppose -31 = -4*s - f*u, 9 = -2*s + 3*s + 2*u. List the prime factors of s. 7 Let s(d) be the second derivative of -d**3/3 - d. What are the prime factors of s(-4)? 2 What are the prime factors of (-10)/15 + 98/3? 2 Let f = 32 - 8. What are the prime factors of f? 2, 3 Suppose -12 = -3*v + 33. Suppose -2 - 9 = b. Let z = v + b. List the prime factors of z. 2 Suppose 5*p + 3*u - 3 = 0, p - 19 = -0*p + 4*u. Suppose 0 = -p*a + 5*a. Suppose 4*v + g = 51, a*v = 5*v - 4*g - 48. What are the prime factors of v? 2, 3 Suppose 1 = 2*n - 3. Suppose -l + n*l = 3. List the prime factors of l. 3 Let k(n) = -8*n. Let a be -1*2 - 3/(-1). Suppose -a = 2*i - i. What are the prime factors of k(i)? 2 Let l be -2 - 0 - 2 - -3. Let c(u) = 2*u + 2*u - 5*u - 4*u. List the prime factors of c(l). 5 Let r = 11 - 10. List the prime factors of (-76)/1*r/(-2). 2, 19 Let t(w) = -11*w**2 + 15*w - 10. Let v(m) = -4*m**2 + 5*m - 3. Let y(g) = -3*t(g) + 8*v(g). Let f be y(4). Let s = 7 - f. What are the prime factors of s? 5 Let t(f) = -f**2 - 11*f. Let y be t(-10). Suppose v + v - y = 0. List the prime factors of v. 5 Suppose f - 4*f = -15. Suppose -2*g + 3 = 3*w, 0*g - f*w = 2*g - 5. What are the prime factors of (-12)/(-1*(1 + g))? 2, 3 Let z = -29 - -57. Let d = z - 19. What are the prime factors of d? 3 List the prime factors of (-2)/(-3)*-6 + 2 + 229. 227 Suppose -15 = -2*b - 3*b. Let j(l) = -l**2 + 8*l - 2. What are the prime factors of j(b)? 13 Let n(j) be the first derivative of -j**4/4 - 2*j**3/3 - j**2 - 2*j - 4. Let o = -5 - -2. List the prime factors of n(o). 13 Let f = 253 - 139. What are the prime factors of f? 2, 3, 19 Suppose -g + 5*o = g - 13, 0 = 5*g + 5*o - 15. Suppose h - g = 2. List the prime factors of 54/(-2)*h/(-18). 3 Let j = 14 + -40. Let f = -12 - j. What are the prime factors of f? 2, 7 Let z = -20 + 112. List the prime factors of z. 2, 23 Let p(h) = 5*h + 7. Let k(c) = c**3 + 6*c**2 + 5*c + 5. Let v be k(-5). List the prime factors of p(v). 2 Let b(o) = o**2 + 6*o + 6. Let f(v) = v + 1. Let t(m) = 3*b(m) - 21*f(m). Let z(x) = -2*x**2 - 2*x + 2. Let i be z(-2). List the prime factors of t(i). 3, 5 Let c = 3 - -1. Suppose 160 = c*h - 5*g + 40, 0 = 4*h + g - 120. List the prime factors of h. 2, 3, 5 List the prime factors of 16 - 5/(15/(-9)). 19 Suppose 20*s - 1410 - 130 = 0. List the prime factors of s. 7, 11 Let o(d) = d**2 + 16*d + 14. What are the prime factors of o(-18)? 2, 5 Let j(p) = 21*p**2 + 2. Let c be j(-2). Suppose 0 = i - 2*x - 24, -4*i - x = x - c. What are the prime factors of i? 2, 11 Suppose 0 = -6*n + 3*n + 78. Let v = -18 + n. What are the prime factors of v? 2 Suppose 0 = 2*m - 60. What are the prime factors of m? 2, 3, 5 Let a(m) = -3*m + 1. Let z be 5/10*(-4)/(-2). Let u be a(z). List the prime factors of (9 - (-1 - -3)) + u. 5 Let v(j) be the second derivative of -j**5/20 + j**4/2 + j**3/2 - 7*j**2/2 - 2*j. List the prime factors of v(6). 11 Let m = 14 - 6. Suppose -6 = -v + m. List the prime factors of v. 2, 7 Let h = 0 + 4. Suppose 0*x + x - h*y - 24 = 0, 0 = 3*x - 3*y - 27. List the prime factors of x. 2 What are the prime factors of (-2 - 67)*(3 - 9)/6? 3, 23 Let c be -2 + 3 - (3 - 2). List the prime factors of 25 + 1 + -3 + c. 23 Let k(i) = i**3 + 2. Let d be k(0). Let c be (1 - (-2 + 3))/d. Let l = 5 + c. What are the prime factors of l? 5 Let d = -18 - -173. List the prime factors of d. 5, 31 Let a be -5
{ "pile_set_name": "DM Mathematics" }
. Let r(w) = 2*w**3 - 31*w + 27*w + 0*w**3 + 5. Determine -5*d(j) + r(j). -3*j**3 + j Let o(r) = 17*r + 17. Let d(w) = -4*w - 4. Suppose 4*i = 43 + 61. Suppose -6*k - 3*x + 17 = -4*k, 0 = -2*k + 4*x + 38. Let f = 19 - k. Give f*o(g) + i*d(g). -2*g - 2 Let a(p) = -4*p - 9. Let c(l) = -2*l + 1. Give a(o) + 2*c(o). -8*o - 7 Let t(u) = -u - 1. Let a(s) = -s - 1. Let g(x) = 4*a(x) - 5*t(x). Suppose -4*k = -7*k - 3*h - 9, k - 4*h - 2 = 0. Let i(d) = 4*d + 3. What is k*i(z) + 9*g(z)? z + 3 Let d(r) = -6*r - 5. Suppose -8 = 5*a - 3, -3*j - 13 = 4*a. Let b be 2/j + (-39)/9. Let h(i) = 5*i + 4. What is b*h(g) - 4*d(g)? -g Let r(d) = 5*d**2 + d - 3. Let a(s) = 9 - 5 - s - 1 - 7 - s**2 + 5. Calculate 3*a(t) + r(t). 2*t**2 - 2*t Let r(l) = l**2 - l. Let g(x) be the first derivative of 16*x**3/3 - 5*x**2 - 175. Determine -g(s) + 10*r(s). -6*s**2 Let h(b) = -4*b**2 + 12*b - 19. Let j be h(10). Let u be (-50)/13 + 46/j. Let x(t) = 4*t**3 + 4*t. Let l(i) = -i. Calculate u*l(k) - x(k). -4*k**3 Let n(m) = 55*m**2 + 2. Let g(p) = -163*p**2 + p - 7. Determine -2*g(r) - 7*n(r). -59*r**2 - 2*r Let l(s) = 8*s**2 + 5*s. Let h(n) = 15*n**2 + 9*n. Let k be 4/(-6) - 410/(-30). Suppose -j = 5*m + k, -2*m - 13 = 2*j + j. Determine j*h(i) + 5*l(i). -5*i**2 - 2*i Let d(h) = -3*h**3 - 3*h**2 - 7*h. Let l = -1037 - -1044. Let p(c) = -2*c**3 - 2*c**2 - 4*c. Determine l*p(z) - 4*d(z). -2*z**3 - 2*z**2 Let g(r) = 5*r**3 + 3*r**2 + r. Let o(n) = 6*n**3 + 4*n**2 + 2*n. Let f = -115 + 111. What is f*g(v) + 3*o(v)? -2*v**3 + 2*v Let z(i) be the second derivative of 2*i**2 - i + 0 + 1/3*i**3. Let g be (-7 - (-12 + 2)) + -5. Let v(m) = m + 1. Give g*z(t) + 6*v(t). 2*t - 2 Let b(a) be the third derivative of 43*a**5/60 + 3*a**4/8 + 5*a**2 + 23. Let u(s) = -11*s**2 - 2*s. What is -2*b(w) - 9*u(w)? 13*w**2 Let s(h) be the first derivative of h**4/4 + h - 93. Let o(k) = -7*k**3 - 5. Let j be (55/(-22))/(2/(-4)). Give j*s(v) + o(v). -2*v**3 Let u(n) = -5*n. Let c(t) = 221*t - 76*t - 74*t - 68*t. Suppose -6 = -5*l + 4. Calculate l*u(w) + 5*c(w). 5*w Let h(f) = -3*f**2 - 4*f + 1. Let w(o) = 7*o**2 + 5*o - 5. Let r(j) = j**2 - 1. Let z(m) = -3*r(m) + w(m). What is 3*h(n) + 2*z(n)? -n**2 - 2*n - 1 Let y(t) = 14*t - 5. Let i(o) = -16*o + 6. Give -2*i(d) - 3*y(d). -10*d + 3 Let s(x) = x**2 + 7*x - 2. Let n(t) = -t + 1. Suppose 5*k + 3 = 2*p, 0 = 2*k - 0*p + 5*p - 22. What is k*s(o) + 5*n(o)? o**2 + 2*o + 3 Let h(t) = 15*t - 23. Let m(f) = 18*f - 7. Let k be m(-7). Let r = k + 120. Let j(c) = -7*c + 11. Determine r*j(b) - 6*h(b). b - 5 Let z = 211 - 212. Let g(r) = r**3 - r**2 - 1. Let b(h) = -16*h**3 + 6*h**2 + 6. What is z*b(k) - 6*g(k)? 10*k**3 Suppose 14 = -3*s + 5*h, 3*s + h - 26 = -4*h. Let u(z) = z**2 + z - 1. Let m(i) be the first derivative of -i - 3 + 1/2*i**2 + 1/3*i**3. Give s*m(b) - u(b). b**2 + b - 1 Suppose -23 - 4 = -3*k + 5*r, 5*k = 3*r + 29. Let x(m) = -2 + 1 - k + 9*m + 1. Let j(u) = -5*u + 2. Calculate 5*j(d) + 3*x(d). 2*d - 2 Let b(k) = 19*k**2 + 3*k - 11. Let x(c) = -10*c**2 - c + 5. Let z(y) = -3*b(y) - 7*x(y). Let w(s) = 12*s**2 - 3*s - 3. Give 2*w(j) - 3*z(j). -15*j**2 Let v(l) = -2*l. Suppose 16*q = -12*q + 56. Let t(u) be the third derivative of 1/60*u**5 + 0 + 0*u - u**2 - 1/24*u**4 + 1/6*u**3. Give q*t(d) - v(d). 2*d**2 + 2 Let z(q) = 7*q**3 + 5*q + 5. Let g be 274/(-30) + (-10)/(-75). Let i be 360/(-165) + (1 - g/(-11)). Let r(p) = -3*p**3 - 2*p - 2. Calculate i*z(u) - 5*r(u). u**3 Let p(h) = 8*h + 146. Let q(w) = 5*w + 74. Calculate -3*p(d) + 5*q(d). d - 68 Let a be (184/(-16) + 7)*8/(-9). Let m(n) = -3*n - 3. Let o(d) = 3*d + 2. Determine a*o(k) + 3*m(k). 3*k - 1 Let z(w) = -w - 2. Let o(l) = 127*l - 1. What is o(v) - z(v)? 128*v + 1 Let z(f) = -46*f + 40. Let i(c) = 13*c - 1. What is 5*i(y) + z(y)? 19*y + 35 Let d(t) = -5*t + 3*t + t. Let h(a) = -141 - 7*a + 72 + 68. Let x = -1 + 2. What is x*h(f) - 6*d(f)? -f - 1 Let h(y) = 3*y + 4. Let f(o) = 2*o + 3. Let g = 6 - 11. Let k = 7 + g. Let z be -5 + (-4)/k + 3. What is z*f(d) + 3*h(d)? d Let p(n) = n - 1. Let i(z) = 41*z + 2. Determine i(u) + 4*p(u). 45*u - 2 Let y(t) = -t**3. Let x(h) be the third derivative of h**9/15120 + 4*h**5/15 + 23*h**2. Let w(n) be the third derivative of x(n). Give w(r) + 6*y(r). -2*r**3 Let n(g) = 2*g + 1. Let c(l) = -1 + 2 + 79*l - 74*l - 27*l**3 + 26*l**3. Calculate 2*c(f) - 5*n(f). -2*f**3 - 3 Let a(j) = 7*j**3 - 2*j**2 - j + 1. Let b(o) = -o**3 + o**2 + o. Determine -a(s) - 3*b(s). -4*s**3 - s**2 - 2*s - 1 Let k be 30/4*16/(-12). Let g be 534*(-2)/(-30) + (-4)/k. Let l(a) = -a + 9. Let x(s) = -1. Determine g*x(n) + 4*l(n). -4*n Let w(a) = -2*a**2 - 5*a + 5. Let v be 196/35 - 2/(-5). Let c be 1/((-12)/18*6/(-8)). Let s(b) = 7*b + c*b**2 - 8 - b + 2. Calculate v*w(d) + 5*s(d). -2*d**2 Let n(g) = 2*g + 7. Let p(a) = a + 6 - 3 + 3 - 4. Give -3*n(w) + 8*p(w). 2*w - 5 Let b(c) = -56*c**3 - 4*c**2 - 4*c + 4. Let z(q) = -q**3 - 2*q**2 - q + 1. What is -b(d) + 2*z(d)? 54*d**3 + 2*d - 2 Suppose 7 = 2*d + 3. Let l(c) = 17*c + 169. Let s be l(-10). Let m(n) = n**2. Let o(g) = 4*g**2 - g + 2. Calculate d*m(j) + s*o(j). -2*j**2 + j - 2 Let l(u) = -2*u**3 - 2*u**2 - u + 3. Let c(k) = -4*k**3 + 9*k**2 - 5*k - 10. Let b(x) = -x**3 + x**2 - x - 1. Let f(a) = 6*b(a) - c(a). What is 3*f(q) - 4*l(q)? 2*q**3 - q**2 + q Let o(i) = -i**2 - i + 11. Let t be o(3). Let g(l) = 3*l**2. Let w(d) = -1. Give t*g(j) - 2*w(j). -3*j**2 + 2 Let m(t) = 66*t - 17. Let q(h) = 66*h - 20. Give -6*m(w) + 5*q(w). -66*w + 2 Let q(s) = 1. Let n(z) = -5*z + 3. Calculate n(y) + q(y). -5*y + 4 Let h(o) = -180*o**3 + 33*o**2 - 38*o**2 + 181*o**3. Let w be ((-4)/6)/(1/15). Let r = -16 - w. Let n(d) = -d**3 + 6*d**2. Determine r*h(m) - 5*n(m). -m**3 Let b(p) = -196*p**2 - 10*p + 22. Let i(x) = -39*x**2 - 2*x + 4. Calculate -4*b(y) + 22*i(y). -74*y**2 - 4*y Let l(r) = 73*r - 3. Let f(o) = 24964*o - 1027. What is 6*f(j) - 2054*l(j)? -158*j Let t(a) = -10 - 29*a - 3*a**2 + 6*a**2 + 2 + 12*a. Let m(b) = -b**2 + 6*b + 3. What is -8*m(z) - 3*t(z)? -z**2 + 3*z Let r(t) = -3*t + 9. Let q(l) = 14 - 28*l + 50*l - 27*l. Calculate 5*q(c) - 8*r(c). -c - 2 Let n(v) = 6*v - 5. Let d be 9/(2 + -5) - (-12 - 0). Suppose 14*z - d = 11*z. Let l(s) = 3*s - 3. Determine z*n(c) - 5*l(c). 3*c Let n(m) = -2*m**3 + 233*m**2 - 2*m + 2. Let p(u) = -4*u**3 + 466*u**2 - 5*u + 5. Give -5*n(h) + 2*p(h). 2*h**3 - 233*h**2 Let f(x) = -x - 2. Let b(l) = -66 + 25 + 24 + 20 + 3*l. Give 3*b(h) + 7*f(h). 2*h - 5 Let r(t) = -100*t - 20. Let q(s) = 99*s + 13. What is -6*q(j) - 4*r(j)? -194*j + 2 Let x(l) = 6*l**2 + 8*l + 9. Let y(k) = -12*k**2 - 15*k - 17. Let b(w) = -5*x(w) - 3*y(w). Let j(o) = 6*o**2 + 4*o + 5. Calculate -5*b(h) + 6*j(h). 6*h**2 - h Let v(m) be the second derivative of 5*m**3/2 + 8*m**2 + 783*m. Let x(w) = -3*w - 3. Determine -4*v(k) - 22*x(k). 6*k + 2 Let d(q) = 2*q - 9. Let a(m) = -8*m - 204. What is -a(j) - 3*d(j)? 2*j + 231 Let q(n) = -22*n**2 + 8*n - 881. Let j(g) = -14*g**2 + 5*g - 587. Give -8*j(x) + 5*q(x). 2*x**2 + 291 Let i(f) = -4*f. Let s(g) = -673 - g + 673. Let m(h) = -2*i(h) + 7*s(h). Let u(p) be the second derivative of -p**3/2 - p**2/2 - p. Determine m(a) + u(a). -2*a - 1 Let z(u) be the first derivative of -u**4/2 + u**3/3 + u**2 - 2*u + 1. Let f(b) = -4*b**3 + 2*b**2 + 5*b - 5. Calculate 2*f(s) - 5*z(s). 2*s**3 - s**2 Suppose -5 = 5*f - 0. Let r be 2/((-14)/21) + 7. Let x(u) be the first derivative of 3*u**4/4 - 4*u**3/3 + 3. Let l(p) = -p**2. What is f*x(v) + r*l(v)? -3*v**3 Let u(x) = 5*x**3 - 15*x**2 + 15*x + 15. Let d(a) be the second derivative of a**5/20 - a**4/12 + a**3/6 + a**2/2 + 39*a. Give -15*d(v) + u(v). -10*v**3 Let n(p) = -86*p - 4. Let s(m) = 263*m + 10. What is -8*n(t) - 3*s(t)? -101*t + 2 Let u(z) = 3*z**3 + z**2 - 2*z. Suppose 0 = -3*l - 0*l - 12, 2*j - 5*l = 26. Let g(o) = -3*o**3 + 2*o. Give j*u(p) + 4*g(p). -3*p**3 + 3*p**2 + 2*p Let j(i) = -4*i - 13*i - 13*i + 43*i + 1 - 12*i. Let p(y) = -4*y - 7. Suppose 0*u + 4*u + 11 = f, -5*u + 5 = 0. Let k be 10/f - 1/(-3). What is k*p(t) + 6*j(t)? 2*t - 1 Let c(f) = 5. Let g(n) = 28*n + 36. Determine 21*c(x) - 3*g(x). -84*x - 3 Let p(f) = -9*f**3 + 5*f. Suppose 3*o + 4 = -y, 3 - 12 = 3*o. Let v(d) = -4*d**3 + 2*d. Give y*v(u) - 2*p(u). -2*u**3 Let j(o) be the first deriva
{ "pile_set_name": "DM Mathematics" }
3*n + 2*y - a, -n + 2*y + 4 = -7. Determine z(n). 13 Let n(r) = -r**3 + 21*r**2 + 2*r - 47. Suppose -160 = -16*o + 176. What is n(o)? -5 Let o(d) be the first derivative of d**5/20 - 7*d**4/12 - 3*d**3/2 + 3*d**2 - 216*d - 30. Let f(q) be the first derivative of o(q). Give f(8). -2 Let i(q) = 0*q - 7 + 2 - 3*q. Let s be (-230)/(-55) - -2 - (-2)/(-11). What is i(s)? -23 Let f(r) be the third derivative of -5*r**4/12 - 7*r**3/3 - 20*r**2 - 15. Calculate f(-4). 26 Let c(w) be the second derivative of w + 31 - 21/2*w**2 - 1/2*w**3. Determine c(-7). 0 Suppose -6 = 3*s - 3*v, v + 1 + 1 = 5*s. Let p(u) = u**2 + 1. Determine p(s). 2 Let a(g) be the first derivative of -3*g**2 + 66*g - 638. Determine a(12). -6 Let z(i) = 19*i + 926. Let c be z(-49). Let s(d) = -d**3 - 3*d**2 + 9*d + 11. Determine s(c). 16 Suppose a - 1 - 2 = 0. Let w(j) be the second derivative of -j**4/24 - j**3/6 + 11*j**2 + 25*j. Let d(x) be the first derivative of w(x). Give d(a). -4 Let r(b) = -37*b**2 + 287*b - 11. Let a(n) = 4*n**2 - 30*n + 1. Let p(d) = -19*a(d) - 2*r(d). Let w = 5 + -3. What is p(w)? -13 Let c = 18 + -11. Let j(i) = -5*i - 19. Let r(p) = 2*p + 7. Suppose 2*n - 5*o = 16, -2*n + 3*o = -9 - 3. Let u(f) = n*j(f) + 8*r(f). Calculate u(c). 6 Suppose -12*b - 1152 = -3*b. Let h be 3*-3*(b/12 - -10). Let y(m) = -m**3 + 8*m**2 - 6*m - 7. Give y(h). 29 Let s(y) be the third derivative of y**4 + 74*y**3/3 - 51*y**2 + 8. Calculate s(-7). -20 Let m(w) be the first derivative of -4*w**3/3 - w**2 + w - 28. Let z be 5/(15/6) - -6. Let s be (-6)/(-8) - z/(-32). Give m(s). -5 Let b(m) = m**2. Let a(u) = -u**3 + 10*u**2 - 6*u + 4. Let z(c) = -a(c) + 2*b(c). Suppose -j = 3*j - 12. Suppose -2*s = -5*g - 14, g - j*g = 0. Give z(s). -11 Let r(z) be the third derivative of -z**5/30 + z**4/3 + 5*z**3/2 + 1010*z**2. Determine r(5). 5 Let m(p) = -32*p - 34. Let w be m(-1). Let f(v) = 2*v - 7. Let z(r) = -r**2 - 2*r + 8. Let j(y) = w*z(y) - 3*f(y). Give j(4). 29 Let l(p) = -1 - p + 5 + 3*p. Let a be l(3). Let h(m) = 12*m - 3*m**2 - 4*m + 4*m**2 + 0*m**2 + a. Give h(-7). 3 Let g(a) be the third derivative of 31*a**4/12 - 411*a**3/2 + 153*a**2 + 3*a - 1. Calculate g(20). 7 Let l(b) = b**2 + 20*b + 42. Let g be ((-32)/(-10))/((-29)/(150 - 5)). Determine l(g). -22 Let l(w) = 425*w - 86. Let r(g) = 159*g - 29. Let o(t) = 3*l(t) - 8*r(t). Give o(9). 1 Let x(m) be the third derivative of m**4/24 - 5*m**3/3 - 34*m**2. Let b(c) = 2*c - 8. Let o(w) = 5*b(w) - 4*x(w). Determine o(1). 6 Let a(r) = -27*r - 6. Suppose 0 = 2*v + 2*l - 159 + 155, -v + 2 = 3*l. What is a(v)? -60 Let a(b) = 2*b**2 + 16*b + 11. Let i(l) = -9*l**2 - 76*l - 53. Let p(g) = -19*a(g) - 4*i(g). Calculate p(0). 3 Let t(u) be the third derivative of u**6/120 - u**5/20 - 5*u**4/24 - u**3/3 + 1397*u**2. What is t(3)? -17 Let r(w) = 19*w**2 + 2*w - 1. Let g be (3/(-12 - 3))/((-53)/265). What is r(g)? 20 Let v(w) = -w**3 - 2*w**2 - 4*w + 5. Let y = -5269 - -5270. Calculate v(y). -2 Let z(w) = -3*w - 5*w**2 + 3*w + 2*w**3 - w - w**3 - 7 - 3*w. Let j = -1 + 7. Let l be z(j). Let q(c) = -3*c + 5. Give q(l). -10 Let i(j) = -5*j + 401*j**2 - 794*j**2 + 399*j**2 + 11 + 4*j - j**3 - 3. Suppose -3*p + 3*f - 1 = -37, -f = 0. Suppose 0 = 5*o - 3*o - p. Give i(o). 2 Let r(t) be the first derivative of t**2/2 + 8*t + 64. Suppose -p = 4*p + 65. Let j = p - -7. Determine r(j). 2 Let k(h) = h**3 - 7*h**2 + 7*h - 3. Let q be k(4). Let n = q + 52. Let s(m) = 63*m - n*m - 37*m + 2 + 2*m**2. What is s(3)? 11 Let d(w) = 3*w**2 + w + 9. Let f(m) = 2*m**2 + m + 6. Suppose -24*z = -8*z - 1344. Let t = 89 - z. Let c(a) = t*d(a) - 8*f(a). Calculate c(-4). -7 Let i = 38 - -69. Let l(q) = -q**2 - 107*q + i*q + 1. Suppose -4*n = 5*p - 7, p + 16 = -0*p + 5*n. What is l(p)? 0 Let t(v) = -6563*v**2 - 142 + 6562*v**2 - 7*v + 145. Suppose -4*z + 16 = -d, -2 = -3*z + 2*z. Give t(d). -5 Let j(i) = 4*i**2 - 5*i**2 + 232*i - 116*i - 116*i - 1. Calculate j(-4). -17 Let v be 0*(2 - (-3)/(-2)). Let q be v/3 - (7 + 0). Let a(c) be the second derivative of c**3/6 - 3*c**2/2 + 121*c - 9. What is a(q)? -10 Suppose 5*f + 27 = 2*w, 5*w + 6 = -f + 3*f. Let l(a) be the first derivative of -a**4/4 - 2*a**3 + 5*a**2/2 - 10*a + 28. Give l(f). 4 Let k(i) be the second derivative of i**5/20 + 11*i**4/12 + 5*i**3/6 + 2*i**2 + 155*i. Calculate k(-10). 54 Let k(b) be the second derivative of b**3 + 12*b**2 + 34*b + 6. Give k(-12). -48 Let u(x) be the second derivative of -x**6/720 + x**5/15 - 2*x**4 - 83*x. Let l(v) be the third derivative of u(v). Determine l(0). 8 Suppose 0*n = -4*n - 4, 0 = -5*b + 3*n + 18. Suppose -3*v + 595 = -l - 3*l, 3*v = -b*l + 609. Let d(g) = -v*g + 200*g + g**2 - 2 + 0*g**2. Calculate d(2). 0 Let c = -3280 - -3268. Let u(g) = 3*g - 17. Let n(a) = -8*a + 51. Let w(s) = 4*n(s) + 11*u(s). Determine w(c). 5 Let w = 9063 + -9067. Let y(t) = t - 3. Let q(c) = c - 3. Let x(a) = -2*q(a) + 3*y(a). Calculate x(w). -7 Let n(y) = y + 1. Let v(f) = f**2 - 9*f - 2. Let d be v(9). Let p be n(d). Let z(o) = 2. Let m(h) = h**2 + h + 6. Let a(b) = -m(b) + 3*z(b). Give a(p). 0 Let k be (4 + 57/(-15))/(3/45). Let i(o) = -2*o**k + 11*o**3 - 7*o**3 - 7*o**3 + o - 5*o**2 + 1 + 4*o**2. What is i(2)? -41 Let k = -111 + 118. Let y(s) be the third derivative of s**4/24 - s**3/2 - 717*s**2 + 2. What is y(k)? 4 Let t(s) = s - 1. Suppose -16 = -4*w - 0. Let q be 5 - (-10 + w - -3). Give t(q). 7 Let p(v) = -7*v + 45. Let f be p(3). Suppose -f = -6*o + 6. Let m(d) = -d**2 + 3*d + 4. Determine m(o). -6 Let s = 36 + -32. Let n be 2 - (1 - s/(-4)). Let o(x) = x - 12. Give o(n). -12 Let l(g) = g**3 - 7*g**2 + 5*g - 3. Let r(u) = -18*u**3 - u**2 + u + 2. Let q be r(-1). Let h = 36 - q. Suppose -5*j = -8*j + h. Calculate l(j). -9 Suppose -103*z + 117 = -89. Let f(m) be the third derivative of -1/8*m**4 + 0 + 0*m + 3/2*m**3 + 40*m**z. Give f(6). -9 Let b(m) be the first derivative of 3*m**2 + 30*m - 762. What is b(-5)? 0 Let u(o) = -112 + 43*o**3 + 41*o**3 + 25*o**3 - 152*o**3 + 112*o + 44*o**3 - 57*o**2. What is u(55)? -2 Let h(r) be the second derivative of 3/2*r**2 - 157*r + 0 - 1/3*r**3. What is h(3)? -3 Suppose -536*d = -361*d - 525. Let p(h) be the third derivative of -1 + 0*h + 1/6*h**4 - 5*h**2 + 0*h**d + 1/60*h**5. Determine p(-3). -3 Let l(g) = -3 - 258*g + 59*g + 65*g + 82*g. Calculate l(-2). 101 Let k(p) = p**3 + 12*p**2 + 36*p + 3. Let t be k(-7). Let w be 38/4 + 1/(-2). Let d(y) = 0 - 11*y - 2 + w*y. Determine d(t). 6 Let y(z) = z**2 - 3*z - 2. Let s(j) = j**3 + 16*j**2 + 18*j + 32. Let k be s(-10). Let p = k + -452. Give y(p). -2 Let r(m) = -m**3 + 10*m**2 - 26*m + 3. Suppose -81*w - 237 = 60*w - 942. Determine r(w). -2 Let w(v) = v**2 - 7*v. Let x(f) = -3*f**2 + 48*f - 1. Let y(a) = -6*w(a) - x(a). Calculate y(-2). 1 Let o(c) = 7*c + 0*c + 1 - 15*c - 8*c. Let a = -490 + 489. Give o(a). 17 Let q(c) be the third derivative of -c**6/120 + 3*c**5/20 - 11*c**4/24 + 7*c**3/2 - 14*c**2 - 8. What is q(8)? -3 Let l(z) = 37*z**3 - 103*z**2 - 7*z - 9. Let v(f) = -f**3 - 20*f**2 - f - 2. Let r(m) = -l(m) + 5*v(m). What is r(-1)? 42 Let k(w) = 17 + 1579*w**2 - w**3 - 795*w**2 - 2 - 3 + 10*w - 791*w**2. Calculate k(-8). -4 Let u(v) = -6*v - 3*v - 67 + 10*v - 2*v + 69 - v**2. Suppose -2*j + 16 = 12. Determine u(j). -4 Suppose 35*d - 407 + 232 = 0. Let o(w) = -w**3 - d*w + 4463*w**2 - 4458*w**2 + 4*w - 1 + 0. Let l be (-3)/((-30)/(-8))*-5. Calculate o(l). 11 Suppose -10*p - 179 = 1. Let i(z) = z**3 + 17*z**2 - 17*z - 32. What is i(p)? -50 Suppose -243*a - 14 = -241*a - g, -5*a - 50 = 5*g. Let v(s) = -s**3 - 10*s**2 - 20*s - 13. Determine v(a). 19 Let a(s) be the first derivative of 3*s**2 - 64*s - 1047. Determine a(11). 2 Let c(a) be the second derivative of -a**3/6 + 4*a**2 + a + 118. Let q(x) = 2*x**2 + 6. Let k be (0/(8/(-4)))/(-2). Let h be q(k). Determine c(h). 2 Suppose 0 = -30*w + 22*w. Let a(n) = n - 1. Let q(b) = -b**2 - 5*b + 6. Let u(l) = 4*a(l) + q(l). Determine u(w). 2 Let w = 1522/6405 + -73/427. Let d(l) be the third derivative of w*l**5 + 0*l - 5/24*l**4 + 1/120*l**6 + 17*l**2 + 0 + 1/3*l**3. Give d(-5). 2 Let p = 112 - 138. Let h = p - -26. Let o(j) = j - 5. Give o(h). -5 Let m(l) = -7*l - 9 + 15 - 2 - 4*l**2 - 7 - 3 + l**3. Let v = 506 + -500. Give m(v). 24 Let y(i) be the secon
{ "pile_set_name": "DM Mathematics" }
ort -5830, -3, 3, 2, 5 in ascending order. -5830, -3, 2, 3, 5 Sort 25, -894, 4 in decreasing order. 25, 4, -894 Put 1/3, 2, 300/23 in increasing order. 1/3, 2, 300/23 Put -1, 3, -105, -4, -214 in ascending order. -214, -105, -4, -1, 3 Sort 17, -47, 6 in descending order. 17, 6, -47 Put -2, 1560, 3, -5, 0 in decreasing order. 1560, 3, 0, -2, -5 Put 6924, 4, 3, -5 in descending order. 6924, 4, 3, -5 Sort 1/5, -0.5, 12, 1, 5 in ascending order. -0.5, 1/5, 1, 5, 12 Put -1048, 2, 13, -4 in descending order. 13, 2, -4, -1048 Sort -10, -25, 32, -6 in ascending order. -25, -10, -6, 32 Sort 14, -34, 20. -34, 14, 20 Put -5, 8.88, -0.3, -1/10, -0.5 in ascending order. -5, -0.5, -0.3, -1/10, 8.88 Put -7, 4, -4, 3, -8 in ascending order. -8, -7, -4, 3, 4 Put -4, 5, 2, 611, 1 in descending order. 611, 5, 2, 1, -4 Sort 53, 0.1, 0.64, -0.1. -0.1, 0.1, 0.64, 53 Sort -4, 138, -2249 in ascending order. -2249, -4, 138 Sort -258, 0, -4, 4, -5 in descending order. 4, 0, -4, -5, -258 Sort 8, -107, 3 in descending order. 8, 3, -107 Sort 1, -20, -7. -20, -7, 1 Sort 1, -6, -5, -1 in increasing order. -6, -5, -1, 1 Sort -0.0258, 1/7, -5, 12, -2 in descending order. 12, 1/7, -0.0258, -2, -5 Put -56, -166, 22 in ascending order. -166, -56, 22 Put -0.3, 12, 0.079, 3 in decreasing order. 12, 3, 0.079, -0.3 Sort 1976, -0.5, 9 in decreasing order. 1976, 9, -0.5 Put 17, 4, 5, -8 in increasing order. -8, 4, 5, 17 Sort -9969, 0, 4, -4, -5, 3 in decreasing order. 4, 3, 0, -4, -5, -9969 Sort -13, -6, -4, 9, 1 in ascending order. -13, -6, -4, 1, 9 Put -1, -20930, -2, -21 in decreasing order. -1, -2, -21, -20930 Sort -3, -4, 5, 2, 4, 112 in descending order. 112, 5, 4, 2, -3, -4 Put 0, 247, -1, 3.7 in ascending order. -1, 0, 3.7, 247 Put 15, -1, -34 in ascending order. -34, -1, 15 Sort -9, 31, 27 in ascending order. -9, 27, 31 Put -1, -8, -2, -100 in increasing order. -100, -8, -2, -1 Sort -8, 5, 1/3, 418, 0.18. -8, 0.18, 1/3, 5, 418 Put 0, -1/6, 0.137, -3, -3/2, -395 in descending order. 0.137, 0, -1/6, -3/2, -3, -395 Put 3, -30, 0.7, -0.4, -9/2 in ascending order. -30, -9/2, -0.4, 0.7, 3 Put 7/4, 0.05, -2.9 in decreasing order. 7/4, 0.05, -2.9 Sort -150, -4585, -5 in ascending order. -4585, -150, -5 Sort 13, -1, 1, -9, 2, 6 in increasing order. -9, -1, 1, 2, 6, 13 Sort 10/39, -1132, -2, 4. -1132, -2, 10/39, 4 Sort -35/9, 42, 7, -1/4 in decreasing order. 42, 7, -1/4, -35/9 Put -2, 3, 1, -589, 39 in decreasing order. 39, 3, 1, -2, -589 Sort 5, 3, -0.2, 3957.28 in decreasing order. 3957.28, 5, 3, -0.2 Sort -4680, 6, 4, 3 in descending order. 6, 4, 3, -4680 Sort 3, 6, 23, 5, 4, 1. 1, 3, 4, 5, 6, 23 Put -3, -5/3, 1/2, 75, 1, 0.2 in ascending order. -3, -5/3, 0.2, 1/2, 1, 75 Sort -2, 4, 0, 3690 in descending order. 3690, 4, 0, -2 Sort -0.5, 0.2, -10, -196/9. -196/9, -10, -0.5, 0.2 Put 5, -3, -32, 230, -1 in decreasing order. 230, 5, -1, -3, -32 Sort -1/5076, -0.5, 5, -5/3, -3 in ascending order. -3, -5/3, -0.5, -1/5076, 5 Put -4, 394, -77, -5 in descending order. 394, -4, -5, -77 Put 1/6, -0.042, 76 in descending order. 76, 1/6, -0.042 Put -1/9, 1/2, -0.2, 0.37 in decreasing order. 1/2, 0.37, -1/9, -0.2 Sort -1/41, -22/89, -2, 1. -2, -22/89, -1/41, 1 Sort 2, -3.8, -8.9. -8.9, -3.8, 2 Sort 5, -35, -23488 in descending order. 5, -35, -23488 Sort -2/867, -0.1382, 3/5 in descending order. 3/5, -2/867, -0.1382 Put 3339, 5, -5 in ascending order. -5, 5, 3339 Put -6, -31, -3, -179 in increasing order. -179, -31, -6, -3 Sort -2, 2, -30209 in increasing order. -30209, -2, 2 Put -6/367, 8, 2 in increasing order. -6/367, 2, 8 Put 20027.8, -4, 2 in increasing order. -4, 2, 20027.8 Put 107, -33, -3 in decreasing order. 107, -3, -33 Put 1, 3, 1422 in descending order. 1422, 3, 1 Put -0.5, -146, 7, -0.08, 0.1, 0.2 in decreasing order. 7, 0.2, 0.1, -0.08, -0.5, -146 Put -3/7, 0.1, -0.623, -0.5 in descending order. 0.1, -3/7, -0.5, -0.623 Sort -2/3, 3, 6, 7.3, -4 in increasing order. -4, -2/3, 3, 6, 7.3 Put 3, -146, -16, -1/4 in ascending order. -146, -16, -1/4, 3 Sort 10, 8, 1411 in descending order. 1411, 10, 8 Sort 0.5, 0.246, -7, 0.1 in increasing order. -7, 0.1, 0.246, 0.5 Sort 5, 781, -10, -2, 2. -10, -2, 2, 5, 781 Put -382, -7, 0, 5 in ascending order. -382, -7, 0, 5 Sort -3881, -3, -511 in increasing order. -3881, -511, -3 Put -496, 23, 11 in descending order. 23, 11, -496 Sort -6/7, -9.4, -0.08, 0.5, -2 in ascending order. -9.4, -2, -6/7, -0.08, 0.5 Put 0, 133, 7, 1, 2/11 in ascending order. 0, 2/11, 1, 7, 133 Sort -0.3, -0.2, 0.4, 1, -1/9010, 3 in decreasing order. 3, 1, 0.4, -1/9010, -0.2, -0.3 Put 3, 0.049, -0.0226 in decreasing order. 3, 0.049, -0.0226 Sort -0.5, -3/2, -881, 0. -881, -3/2, -0.5, 0 Sort 13, -0.2, -0.0342, -5 in descending order. 13, -0.0342, -0.2, -5 Sort 32, 1, 2/29, -1/2, 3, -1 in descending order. 32, 3, 1, 2/29, -1/2, -1 Sort 3, -10, 28, 4, 2/5 in descending order. 28, 4, 3, 2/5, -10 Sort 4, 857729, 2 in increasing order. 2, 4, 857729 Sort 0.4, 5/18098, 0.2 in decreasing order. 0.4, 0.2, 5/18098 Sort -0.4, -2, 0.022, -5, 0.36 in ascending order. -5, -2, -0.4, 0.022, 0.36 Put 3, -140, 1199 in descending order. 1199, 3, -140 Put -2/3, 0.3, -1/4293, -48 in descending order. 0.3, -1/4293, -2/3, -48 Sort 339, 0, 5, -1, 6, -2 in ascending order. -2, -1, 0, 5, 6, 339 Put -5, 0, 21, 479, 5 in increasing order. -5, 0, 5, 21, 479 Sort 430.362, 4, -2. -2, 4, 430.362 Sort 758, 18, 4 in ascending order. 4, 18, 758 Put -3, 3, 25371 in decreasing order. 25371, 3, -3 Put -144, 2, -1/114 in ascending order. -144, -1/114, 2 Sort 6/13, -371, 27 in decreasing order. 27, 6/13, -371 Sort -3, -5, 3, 5, -1597, 1 in increasing order. -1597, -5, -3, 1, 3, 5 Sort 3, 1/2, -1107080. -1107080, 1/2, 3 Put 28, 2/17, -1.2, -61 in descending order. 28, 2/17, -1.2, -61 Put -2, 2, -1, 2993 in ascending order. -2, -1, 2, 2993 Sort 0, -4, -2, -6619 in increasing order. -6619, -4, -2, 0 Put 1, 3, -43, 5, -6, 8 in increasing order. -43, -6, 1, 3, 5, 8 Put -1, -178, -4, -6, 1, 3 in ascending order. -178, -6, -4, -1, 1, 3 Sort 3, -494, -3 in ascending order. -494, -3, 3 Sort -2, 0.4, 1/4, -28.39. -28.39, -2, 1/4, 0.4 Sort 0.43, 3/40, -2/29 in ascending order. -2/29, 3/40, 0.43 Sort 828, -2, 2231 in increasing order. -2, 828, 2231 Sort 6, -5, 4, -12411, 5, -6 in decreasing order. 6, 5, 4, -5, -6, -12411 Sort -2, 3, -10, 22, -5 in decreasing order. 22, 3, -2, -5, -10 Sort 1, -7599, -14 in descending order. 1, -14, -7599 Sort 0, -54, 9, -8 in ascending order. -54, -8, 0, 9 Put 2, -84, 0, 4 in descending order. 4, 2, 0, -84 Put -250, -2218, 4 in descending order. 4, -250, -2218 Sort 3, -17, 4, 77, -4 in descending order. 77, 4, 3, -4, -17 Put -0.2, -2/13, 0.3, 7, -84 in descending order. 7, 0.3, -2/13, -0.2, -84 Sort -1.244, 7.7, -4, 2 in ascending order. -4, -1.244, 2, 7.7 Sort -7, 2, 4, 5 in decreasing order. 5, 4, 2, -7 Put -4, 4, -2, 0, 5, -21 in increasing order. -21, -4, -2, 0, 4, 5 Sort -2, -1302, 3/11 in ascending order. -1302, -2, 3/11 Put -11, -5, 3, 35, -15 in increasing order. -15, -11, -5, 3, 35 Sort -1, 0.5, 3/7, -0.4, -1/67 in increasing order. -1, -0.4, -1/67, 3/7, 0.5 Put 5, 21, -3, 4, -1971 in descending order. 21, 5, 4, -3, -1971 Put 0, -3, -16, -63, -2 in decreasing order. 0, -2, -3, -16, -63 Sort -2/2685, 0, -3/2, 4, -0.2 in increasing order. -3/2, -0.2, -2/2685, 0, 4 Put -2756, -110, -5 in decreasing order. -5, -110, -2756 Sort 0.4, 13/8, 0.14, 3 in ascending order. 0.14, 0.4, 13/8, 3 Put 270, -28, -0.087 in descending order. 270, -0.087, -28 Sort -4, 9, -5, 4, -3, -33 in decreasing order. 9, 4, -3, -4, -5, -33 Put -0.24, 22878, 0 in decreasing order. 22878, 0, -0.24 Sort 10, 2, -4634 in descending order. 10, 2, -4634 Put 2, -13, 172, -4, -2 in decreasing order. 172, 2, -2, -4, -13 Put 1/4, -0.15, 1619 in ascending order. -0.15, 1/4, 1619 Put -1, 103, -0.11, -2 in decreasing order. 103, -0.11, -1, -2 Sort 3, 8, -5, 843, -1, 2 in decreasing order. 843, 8, 3, 2, -1, -5 Sort 2393, 5, 3, 1. 1, 3, 5, 2393 Put 117, -3, 3 in descending order. 117, 3, -3 Sort 3/8, 2, 0, 1/5, -2/9 in ascending order. -2/9, 0, 1/5, 3/8, 2 Sort 0.1, 0, 26/15, 15 in ascending order. 0, 0.1, 26/15, 15 Sort 104, -16, -2, -4, -9 in decreasing order. 104, -2, -4, -9, -16 Sort 2256, 6, 10 in increasing order. 6, 10, 2256 P
{ "pile_set_name": "DM Mathematics" }
0.0003 Round -14.632117 to 1 dp. -14.6 Round 15428675780 to the nearest 100000. 15428700000 Round -2.821764806 to 1 decimal place. -2.8 Round 393540.2 to the nearest one thousand. 394000 What is 3.89440141 rounded to 3 dps? 3.894 What is -0.0001378383019 rounded to seven dps? -0.0001378 What is -635429.1721 rounded to the nearest 100000? -600000 What is -80399.032 rounded to the nearest one thousand? -80000 What is -1154120.19 rounded to the nearest one thousand? -1154000 Round -0.00000843482897 to 6 decimal places. -0.000008 What is 621.3487126 rounded to the nearest ten? 620 Round 0.00002319624436 to 7 dps. 0.0000232 Round 2118660956 to the nearest 1000000. 2119000000 Round -0.263449803 to three dps. -0.263 Round -17.772878 to 2 decimal places. -17.77 Round -0.76183487 to four decimal places. -0.7618 Round 36151949.6 to the nearest one thousand. 36152000 Round 0.235961597 to four decimal places. 0.236 What is -153633.33824 rounded to the nearest 100? -153600 What is -20.934999 rounded to zero dps? -21 What is 0.0053892208 rounded to 6 decimal places? 0.005389 What is -17872.70886 rounded to the nearest one hundred? -17900 What is -0.4147708 rounded to 0 decimal places? 0 Round -2.433469922 to one decimal place. -2.4 Round 0.002037589199 to 4 decimal places. 0.002 Round -193793.535 to the nearest 10. -193790 Round -0.01785242878 to six decimal places. -0.017852 Round 388861.3894 to the nearest 1000. 389000 Round 1941.559595 to the nearest 1000. 2000 Round 0.00000013827874 to 6 dps. 0 Round 0.1252739284 to 3 dps. 0.125 What is -155789.454 rounded to the nearest one hundred? -155800 Round 108135.43 to the nearest ten thousand. 110000 What is -25192.705 rounded to the nearest one hundred? -25200 Round 0.00299320017 to six dps. 0.002993 Round -0.0224045095 to 5 decimal places. -0.0224 What is -0.16370005 rounded to two decimal places? -0.16 Round -1851063.544 to the nearest one thousand. -1851000 What is -0.8744133 rounded to 3 dps? -0.874 What is 1143.290416 rounded to the nearest 1000? 1000 Round 0.00004265927566 to 6 dps. 0.000043 What is 125532.9167 rounded to the nearest 10? 125530 What is -86983.4695 rounded to the nearest integer? -86983 Round 0.00016126682 to seven decimal places. 0.0001613 Round 11676525.7 to the nearest ten thousand. 11680000 Round -5862174.5 to the nearest one million. -6000000 Round -27030017030 to the nearest 1000000. -27030000000 What is 9764607.072 rounded to the nearest one thousand? 9765000 Round 0.005298260293 to five decimal places. 0.0053 What is -0.000498611004 rounded to five dps? -0.0005 Round 36281391.77 to the nearest 1000000. 36000000 What is -0.04435561726 rounded to 6 dps? -0.044356 What is -0.0494924767 rounded to 6 decimal places? -0.049492 What is -5219201.43 rounded to the nearest 100000? -5200000 Round -0.0000190157366 to 6 decimal places. -0.000019 Round -12556676.18 to the nearest ten thousand. -12560000 Round 6091.2024 to the nearest one thousand. 6000 What is 0.12299653028 rounded to 3 dps? 0.123 What is 0.0001729519991 rounded to 7 decimal places? 0.000173 What is -7.360801122 rounded to four dps? -7.3608 What is 20139154.98 rounded to the nearest one million? 20000000 Round -801988.48 to the nearest one hundred thousand. -800000 Round 39058588390 to the nearest one million. 39059000000 What is 0.2045497279 rounded to four dps? 0.2045 What is 2557070.9 rounded to the nearest 10000? 2560000 What is 0.001170436001 rounded to five dps? 0.00117 What is 31727156.77 rounded to the nearest 100000? 31700000 What is -268.84569612 rounded to 2 dps? -268.85 What is 0.002455710267 rounded to 6 dps? 0.002456 What is 0.0000538358419 rounded to six decimal places? 0.000054 What is 692959756.9 rounded to the nearest 100000? 693000000 What is -263365.92 rounded to the nearest ten thousand? -260000 What is -669014.9989 rounded to the nearest 100000? -700000 Round 0.0000247298226 to seven dps. 0.0000247 Round 0.00010225063 to 3 decimal places. 0 What is -0.00106632193 rounded to 5 dps? -0.00107 Round -0.0666585076 to five dps. -0.06666 Round -418015070 to the nearest 1000000. -418000000 What is -25576901.9 rounded to the nearest one hundred thousand? -25600000 What is -571891635 rounded to the nearest 1000000? -572000000 Round -29.37090756 to one dp. -29.4 What is -3950988710 rounded to the nearest one hundred thousand? -3951000000 What is 58349.776 rounded to the nearest ten thousand? 60000 What is 87012.3656 rounded to the nearest 100? 87000 What is -0.00000125414507 rounded to 7 dps? -0.0000013 What is -4173271517 rounded to the nearest 1000000? -4173000000 What is 65.30925168 rounded to three decimal places? 65.309 Round -1972.3839 to the nearest ten. -1970 What is 1.321648774 rounded to two dps? 1.32 What is -3.24827696 rounded to 2 dps? -3.25 Round -2.17313738 to two dps. -2.17 Round 2.74450745 to 0 decimal places. 3 What is -12.497059 rounded to the nearest integer? -12 Round -0.058583084 to three dps. -0.059 Round -0.0133065841 to 6 decimal places. -0.013307 What is 2799023.919 rounded to the nearest 100? 2799000 What is -126771063.06 rounded to the nearest ten thousand? -126770000 What is -13690062500 rounded to the nearest 1000000? -13690000000 What is 10052929 rounded to the nearest 100000? 10100000 What is -1864835.795 rounded to the nearest 100? -1864800 What is -129980.187 rounded to the nearest 10000? -130000 What is -28.836519 rounded to 2 dps? -28.84 Round 2.060896008 to 1 decimal place. 2.1 What is -0.001705459936 rounded to six dps? -0.001705 Round 0.003924516201 to 5 dps. 0.00392 What is 3790633100 rounded to the nearest one million? 3791000000 Round -0.000044301426 to six decimal places. -0.000044 What is -3773.0136 rounded to 0 dps? -3773 What is -67.7529263 rounded to 1 dp? -67.8 Round 0.03053766231 to six dps. 0.030538 What is -51763.618 rounded to the nearest integer? -51764 What is 0.236839673 rounded to four decimal places? 0.2368 What is -0.2582436376 rounded to four dps? -0.2582 What is 4.887991305 rounded to 4 decimal places? 4.888 What is -592.312192 rounded to 2 decimal places? -592.31 Round 0.005703459134 to 4 decimal places. 0.0057 Round -0.16549036 to three dps. -0.165 Round 35965421.6 to the nearest ten thousand. 35970000 What is 0.00000134626884 rounded to six decimal places? 0.000001 What is -662842440 rounded to the nearest 1000000? -663000000 Round 1518.783481 to the nearest integer. 1519 Round -0.234414765 to five dps. -0.23441 Round -1.472371916 to 4 decimal places. -1.4724 Round -0.0001018831505 to 6 decimal places. -0.000102 What is -0.0000026836248 rounded to 6 decimal places? -0.000003 What is 0.1141135514 rounded to 2 decimal places? 0.11 Round 0.011121881183 to 4 decimal places. 0.0111 What is -0.0145346379 rounded to 5 dps? -0.01453 What is 0.088313148 rounded to 4 dps? 0.0883 What is -516684299.9 rounded to the nearest one hundred thousand? -516700000 What is 470064.3732 rounded to the nearest ten? 470060 Round 0.00003394600618 to 6 decimal places. 0.000034 Round -29.0813686 to 1 dp. -29.1 What is -12063856.92 rounded to the nearest 1000? -12064000 What is -61873265 rounded to the nearest 10000? -61870000 What is 0.0001719751329 rounded to seven dps? 0.000172 What is -42867.12 rounded to the nearest 100? -42900 What is -221.475022 rounded to 2 decimal places? -221.48 Round 117558493.15 to the nearest 100000. 117600000 Round 0.910830244 to three dps. 0.911 What is -734.635899 rounded to two dps? -734.64 What is 1.3475027 rounded to two dps? 1.35 Round 0.00034562402 to 4 decimal places. 0.0003 What is -688854.661 rounded to the nearest one hundred thousand? -700000 Round 0.000000535953 to six dps. 0.000001 Round 1887.370007 to the nearest integer. 1887 Round -167.551631 to 0 dps. -168 Round 0.0007180197436 to four dps. 0.0007 What is -235970.189 rounded to the nearest one hundred thousand? -200000 What is 1454690.756 rounded to the nearest one thousand? 1455000 Round -10.2114233 to 1 dp. -10.2 What is -9022.968904 rounded to 1 decimal place? -9023 What is 0.000280056 rounded to 5 decimal places? 0.00028 Round -1976131.333 to the nearest ten thousand. -1980000 What is 2077.165498 rounded to the nearest ten? 2080 Round -3.86471356 to 2 decimal places. -3.86 Wh
{ "pile_set_name": "DM Mathematics" }
mine d(-34). -3 Let x(v) = -29*v + 1297. Give x(69). -704 Let c(x) = -221*x**2 + 255*x - 510. Determine c(2). -884 Let u(p) = -p**3 + 20*p**2 + 2016*p - 18. Calculate u(56). -18 Let o(w) = -101524*w - 17969752. Determine o(-177). -4 Let q(b) = -14*b**3 - 126*b**2 - 2*b + 77. What is q(-9)? 95 Let z(v) = -v**3 + 107*v**2 - 131*v + 2195. Calculate z(106). -455 Let b(p) = -2599*p - 374288. What is b(-144)? -32 Let m(a) = -704*a + 2239. What is m(3)? 127 Let a(c) = -264*c + 30623. Determine a(116). -1 Let r(w) = -1978*w**2 - 86*w - 4. What is r(1)? -2068 Let r(t) = 524*t - 105569. Calculate r(201). -245 Let w(i) = 2*i**2 - 24206*i - 24207. Give w(-1). 1 Let b(y) = -38*y**2 + 1214*y + 42. Give b(31). 1158 Let r(b) = -b**3 - 9*b**2 - 5*b - 395. Calculate r(-16). 1477 Let j(v) = v**2 + 4*v + 312. Determine j(-17). 533 Let r(u) = u**3 - 432*u**2 + 16372*u + 3119. What is r(390)? -1 Let q(y) = -11*y**2 + 73*y + 3576. Calculate q(-15). 6 Let z(i) = -i**3 + 21*i**2 + 31127*i - 218573. Determine z(7). 2 Let j(o) = -200*o**2 - 6594*o + 201. Give j(-33). 3 Let s(n) = -n**2 + 158177*n - 632695. What is s(4)? -3 Let g(m) = 590*m - 266020. What is g(450)? -520 Let u(d) = -21594*d + 2375342. Give u(110). 2 Let b(j) = -3*j**3 + 57*j**2 - 15*j + 35. Give b(12). 2879 Let y(s) = -s**3 - 37*s**2 + s + 1610. Give y(-37). 1573 Let o(v) = -360395*v + 360394. What is o(1)? -1 Let x(t) = 1560*t - 19206. Calculate x(12). -486 Let q(t) = -t**2 - 86*t + 21859. Calculate q(111). -8 Let p(o) = -1917*o**3 - 38339*o**2 + 19*o - 24. Determine p(-20). -4 Let v(d) = -82691*d - 67558553. Give v(-817). -6 Let i(f) = -f**3 - 218*f**2 + 892*f + 811. What is i(-222)? -77 Let b(w) = 147*w - 66168. Calculate b(448). -312 Let k(o) = -4*o**3 - 30*o**2 + 55*o + 316. Determine k(-8). 4 Let r(q) = 2429*q**2 + 228330*q + 373. Calculate r(-94). -3 Let w(p) = 221*p**3 - 4420*p**2 + 172*p - 3430. Determine w(20). 10 Let u(k) = -135238*k - 540959. Give u(-4). -7 Let s(h) = -11*h**2 + 693*h - 2058. Give s(3). -78 Let w(z) = -7827*z + 203728. What is w(26)? 226 Let m(v) = -v**3 + 18*v**2 - 89*v + 798. Determine m(15). 138 Let k(j) = -2*j**2 - 352*j - 15118. Determine k(-73). -80 Let j(y) = -341*y**3 + 2045*y**2 - 35*y + 235. Calculate j(6). -11 Let a(i) = 195*i - 6447. What is a(33)? -12 Let n(l) = 889*l - 193831. Determine n(218). -29 Let n(r) = 9*r**2 + 481*r + 203. Calculate n(-59). 3153 Let x(g) = -2*g**2 - 244*g + 25718. What is x(-190)? -122 Let q(n) = 1253*n**2 - 16671*n + 4952. Give q(13). -14 Let p(t) = -t**3 + 44*t**2 - 283*t + 813. Calculate p(36). 993 Let t(z) = -1681*z - 18497. Calculate t(-11). -6 Let b(r) = 7*r**2 + 1017*r + 33308. Calculate b(-96). 188 Let y(d) = d**2 + 5590*d - 2300357. Give y(385). 18 Let v(d) = 13*d**2 + 693*d + 2580. Determine v(-49). -164 Let z(h) = -6*h**2 - 146*h - 1091. What is z(-7)? -363 Let s(k) = 2*k**3 + 54*k**2 - 500*k + 2257. Determine s(-35). 157 Let u(o) = -2*o**3 - o**2 - 143*o + 45. Calculate u(0). 45 Let d(g) = -91*g**3 - 4*g**2 + 381*g - 760. Calculate d(2). -742 Let k(r) = -2050*r - 22193. What is k(-11)? 357 Let i(f) = -178*f**2 - 1429*f - 2160. What is i(-6)? 6 Let r(c) = -575*c**2 + 5745*c + 43. What is r(10)? -7 Let j(r) = 63338*r + 1900109. Give j(-30). -31 Let c(s) = -4*s**2 - 141*s + 6. What is c(-15)? 1221 Let b(i) = -6*i**3 - 291*i**2 - 124*i + 944. Calculate b(-48). -16 Let v(y) = 1961*y - 8088. Calculate v(4). -244 Let l(g) = -g**3 + 9*g**2 + 320*g - 3505. Calculate l(14). -5 Let h(p) = 2*p**2 + 3719*p - 48428. Determine h(13). 257 Let h(y) = -47*y**2 - 354*y + 1992. Determine h(5). -953 Let o(t) = -40*t**2 - 3906*t + 951. Give o(-98). -421 Let w(s) = -s**3 - 44*s**2 - 210*s - 7160. Give w(-43). 21 Let g(k) = k**2 - 134*k - 6927. Give g(154). -3847 Let j(o) = -10*o**3 - 414*o**2 + 386*o + 33. Determine j(1). -5 Let z(f) = -f**2 - 37*f + 2827. Give z(40). -253 Let o(p) = -2793*p - 47480. Give o(-17). 1 Let c(h) = 220*h - 1260. Calculate c(12). 1380 Let s(i) = -2*i**3 - 13*i**2 + 81*i + 438. What is s(-6)? -84 Let f(n) = 9353*n + 46737. Calculate f(-5). -28 Let h(t) = -219*t + 9108. Calculate h(42). -90 Let a(s) = s**3 + 37*s**2 + 1778*s - 33. Determine a(0). -33 Let z(j) = j**3 - 81*j**2 + 423*j + 1394. Determine z(75). -631 Let x(s) = -367*s + 7336. What is x(20)? -4 Let v(d) = -25347*d - 76035. Give v(-3). 6 Let h(m) = -m**2 + 363*m + 11768. Give h(393). -22 Let o(m) = 8*m**2 - 237*m + 128. Determine o(14). -1622 Let b(c) = 886*c**2 - 2602*c + 26. What is b(3)? 194 Let t(l) = -l**3 - 30*l**2 - 23*l - 2755. Calculate t(-32). 29 Let v(n) = -46*n**2 + 65*n + 22. Determine v(1). 41 Let t(l) = 12*l**2 - 7339*l - 36. What is t(0)? -36 Let x(r) = -230*r - 2954. Calculate x(-13). 36 Let r(i) = -58371*i - 875559. What is r(-15)? 6 Let a(v) = -8593*v - 902273. Determine a(-105). -8 Let p(j) = 4*j**3 - 345*j**2 + 3876*j - 860. Give p(13). 11 Let d(s) = -1350*s - 90452. Determine d(-67). -2 Let m(n) = -n**3 - 69*n**2 + 193*n + 8643. Give m(-70). 33 Let r(i) = 2*i**2 + 5239*i - 47315. Calculate r(9). -2 Let i(w) = -23870*w - 3150816. Determine i(-132). 24 Let k(a) = 12*a**3 - 12*a**2 + 14*a - 85. Determine k(6). 2159 Let v(r) = -5*r**3 - 30*r**2 + 651*r + 3934. Determine v(-6). 28 Let u(f) = -2*f**3 - 114*f**2 + 139*f - 286. What is u(-58)? -1620 Let v(p) = 219*p - 27004. Give v(121). -505 Let o(n) = -633*n**2 - 4249*n - 8499. Determine o(-2). -2533 Let o(i) = -75*i**3 + 404*i**2 - 120*i. What is o(5)? 125 Let r(l) = 525*l - 55411. Determine r(104). -811 Let s(a) = -4300*a + 68982. Determine s(16). 182 Let k(z) = -z**3 - 18*z**2 - 354*z - 4156. Determine k(-14). 16 Let h(g) = 3688*g + 205858. Determine h(-56). -670 Let a(c) = -c**3 - 9*c**2 + 91*c + 377. What is a(-15)? 362 Let d(z) = z**2 - 108*z + 955. Give d(20). -805 Let d(v) = 7924*v + 23764. Give d(-3). -8 Let u(i) = 3*i**2 - 641*i + 7532. Calculate u(12). 272 Let n(p) = -p**2 - 1913*p + 52532. Calculate n(27). 152 Let m(a) = a**3 + 103*a - 337. What is m(3)? -1 Let w(t) = t**2 + 3960*t + 145445. Calculate w(-37). 294 Let r(g) = g**2 + 488*g + 43888. Calculate r(-119). -23 Let t(a) = 128*a - 570. What is t(3)? -186 Let c(n) = 3*n**3 - 17*n**2 + 24*n - 22. Calculate c(4). -6 Let x(k) = -1032*k**2 - 86753*k - 5464. Calculate x(-84). -4 Let n(y) = 3316407*y - 63011735. Determine n(19). -2 Let x(f) = -f**3 + 25*f**2 - 2721*f - 41777. Calculate x(-13). 18 Let o(h) = -h**2 - 235*h - 5084. Calculate o(-26). 350 Let t(l) = -332*l - 2112. What is t(-12)? 1872 Let f(s) = 5*s**2 - 400*s - 5555. What is f(-14)? 1025 Let v(d) = -d**2 - 390*d - 34943. What is v(-139)? -54 Let f(j) = -j - 2252. What is f(178)? -2430 Let k(h) = -8*h**2 - 1551*h + 16315. Determine k(10). 5 Let u(h) = 15*h**2 + 2888*h + 14034. What is u(-5)? -31 Let w(j) = j**3 - 215*j**2 + 435*j - 15. Give w(2). 3 Let q(w) = w**2 + 74*w - 355. Determine q(-87). 776 Let i(z) = z**3 + 558*z**2 - 62037*z - 1305. What is i(-653)? 1 Let k(x) = -2*x**3 + 128*x**2 + x + 29. What is k(0)? 29 Let j(u) = -u**3 - 65*u**2 - 901*u + 424. Calculate j(-45). 469 Let j(o) = -271*o**2 - 21405*o + 53. Calculate j(-79). -263 Let l(y) = -8*y**3 - 71*y**2 + 160*y + 1567. Give l(-10). 867 Let y(n) = -n**2 + 3240*n - 12941. Determine y(4). 3 Let t(f) = 5*f**2 - 301*f - 986. Determine t(63). -104 Let i(h) = -h**3 - 56*h**2 + 1090*h + 61142. Give i(-56). 102 Let o(i) = 468*i**2 + 129*i - 129. Give o(1). 468 Let s(k) = 48*k**2 - 172*k + 8. Give s(3). -76 Let d(t) = -3494*t + 293602. Give d(84). 106 Let h(x) = -x**3 + 65*x**2 + 1013*x - 2285. Calculate h(2). -7 Let x(w) = -w**3 - 66*w**2 - 49*w + 1714. Calculate x(-65). 674 Let z(j) = -11*j**2 - 91*j - 170. What is z(-4)? 18 Let c(h) = h**3 + 121*h**2 - 14*h - 29993. What is c(-119)? -5 Let l(f) = -2515*f - 48928. What is l(-20)? 1372 Let b(y) = -8*y**2 + 7*y + 34. Give b(3). -17 Let u(n) = n**2 - 6107756*n + 54969727. Give u(9). 4 Let o(y) = -35*y - 2904. What is o(-14)? -2414 Let f(m) = 25456*m + 6084148. Determine f(-239). 164 Let l(q) = -2*q**3 + 30*q**2 + 63*q - 1164. What is l(15)? -219 Let z(i) = 3041*i + 1848933. Determine z(-608). 5 Let p(y) = 9*y**3 + 539*y**2 + 4807*y + 241. Calculate p(-49). -4 Let b(j) = -j**3 - 22*j**2 + 133*j + 2143. Determine b(-8). 183 Let a(s) = -1607*s**2 + 599412*s - 387. What
{ "pile_set_name": "DM Mathematics" }
z) = z**3 + 4*z**2 - 6*z + 2. Let j be m(-5). Let a be b(j). What is a rounded to the nearest 10000? 200000 Let g = -9331720770 - 1901424984. Let m = g - -11233145851.00000214. Let c = m + -97. What is c rounded to seven dps? 0.0000021 Let p = 224 - 224.0000409. Round p to 6 dps. -0.000041 Suppose 22*h + 3*h + 197500000 = 0. Round h to the nearest 1000000. -8000000 Let a = 38.4 - -51.1. Let s = a - 88. What is s rounded to the nearest integer? 2 Suppose 0 = 2*y + 4*z - 96404, 0 = -4*y + y - 4*z + 144608. Let q = y - -4396. Round q to the nearest 1000. 53000 Let l(z) = 159*z**2 - 23*z + 190. Let p be l(30). Round p to the nearest 10000. 140000 Let l = -19 - -13.4. Let x = -10 - l. Round x to 0 decimal places. -4 Let w = 3197523 + -3197539.20067. Let h = -16.2 - w. Round h to four dps. 0.0007 Let a = -3.402 + -0.668. Round a to one decimal place. -4.1 Let t = 207 - 207.00000488. What is t rounded to seven decimal places? -0.0000049 Suppose 0 = 56*a - 52*a + 16840. What is a rounded to the nearest one thousand? -4000 Let x = -9217 - -10243.7. Round x to the nearest ten. 1030 Suppose 96*s - 101*s - 4340 = 0. Round s to the nearest 100. -900 Let l = -172.569998429 - -0.569988729. Let t = 172 + l. Round t to six dps. -0.00001 Let m = 30.105 + -30. Let s = m - 0.03. Let w = s - 0.2. What is w rounded to 2 decimal places? -0.13 Let r = 158.141 - 158. Let c = r + -0.041. What is c rounded to the nearest integer? 0 Let q = -616 - -615.99768. Round q to 4 dps. -0.0023 Let h = -3.7559 + 7.1013. Let s = h + 37.6886. Let k = s - 41. Round k to 2 decimal places. 0.03 Let x = 2461060.989949 - 2461062. Let p = x - -1.01. Round p to five decimal places. -0.00005 Let u be (-3 - -4) + 11614030/2. Suppose -4*x + 33228076 = 4*f, 4*f + 2*x = 13097977 + 20130093. Let y = u - f. What is y rounded to the nearest 1000000? -3000000 Let u = 22 - 24. Let d be (u/5)/((-6)/30). Suppose 4*b = b + 12, -3*b = -d*j + 12799988. What is j rounded to the nearest 1000000? 6000000 Let w = 2984 + -2982.8005. Let t = -1.14 + w. Round t to 3 decimal places. 0.06 Let f = 15.25 + -0.25. Let x = f - 2. Let a = x - 13.0035. Round a to three dps. -0.004 Suppose 4*z = 5*g - 31126112, 3*g + 6551549 - 25227194 = -5*z. Suppose 8*i - g = 212974780. What is i rounded to the nearest 1000000? 27000000 Let v = -10807537 - 3284128. Let k = v - 8008335. Round k to the nearest 1000000. -22000000 Suppose 3*d = -j + 1661, 0*j - 4*j = -d + 545. Round d to the nearest one hundred. 600 Let l = 72.4 + -64. Round l to the nearest integer. 8 Let j(f) = f**2 - 10*f**2 - 3*f**2 + 18 + 0*f**2 - 28*f + 682*f**3. Let s be j(-13). Round s to the nearest one hundred thousand. -1500000 Let p = -16 - -15.929. Let k = 0.0709942 + p. Round k to 6 dps. -0.000006 Let f = -769 - -770.905. What is f rounded to 1 dp? 1.9 Let q = -39921 - -39921.46629. Let b = q - 0.464. Round b to 3 decimal places. 0.002 Let x = -0.57404 - -0.577. Round x to four dps. 0.003 Let d(c) = 154286*c + 4. Let s = 9 + -23. Let m be d(s). Round m to the nearest one hundred thousand. -2200000 Suppose -2 = -16*l + 15*l. Suppose -r + 26367 = l*r. Suppose r = 6*m - 32611. What is m rounded to the nearest one thousand? 7000 Let a = -22.0703 - 0.0297. What is a rounded to the nearest integer? -22 Suppose 3*k = -2*p + 13, 4*k - 17 - 5 = -5*p. Suppose -2*t = 5*u - 934025, k*u = -4*t + u + 1868010. Round t to the nearest one hundred thousand. 500000 Let k = -45756 - -45900.228. Let r = k - 144. Round r to one dp. 0.2 Let y = 1 - 36. Let t = y - -34.999925. What is t rounded to five dps? -0.00008 Let p(a) = -11*a - 170. Let x be p(26). What is x rounded to the nearest 1000? 0 Suppose 3*g + 5*p + 1424995 = 0, -6*g - 3*p = -5*g + 474997. What is g rounded to the nearest ten thousand? -480000 Let j = 431268221 - 431268179.9999969. Let q = j - 41. Round q to 7 dps. 0.0000031 Suppose -4*p - f - 4 = -17, 9 = 2*p + f. Suppose -b = p, -1409 = -5*r + 4*b - 276. What is r rounded to the nearest 100? 200 Suppose -c = 4*b - 3343, -5*c + 753 + 1750 = 3*b. What is b rounded to the nearest 10? 840 Let a = 3.11 + 0.09. Let t = 754.58273 + -757.7827357. Let f = a + t. What is f rounded to six dps? -0.000006 Let f = 4.03 + -72.23. Let d = 56 + f. Round d to 0 decimal places. -12 Let a = -6043 - -6651.45. Let f = 612.4519 - a. Let l = 4 - f. What is l rounded to 3 decimal places? -0.002 Let i = 139 - 76. Let w = -62.99782 + i. Round w to three dps. 0.002 Let r = -0.3531 + 48.6231. What is r rounded to the nearest integer? 48 Let z = 9.323 + -9.94. Let o = z - -0.234. Round o to two dps. -0.38 Suppose -166*c + 157*c - 25110 = 0. What is c rounded to the nearest one thousand? -3000 Let w = 6 + -60. Let y = w - -54.000245. Round y to 5 dps. 0.00025 Let g be 0/(-2 + 8 + -3). Let f(i) = -i**2 + i + 21. Let h be f(g). What is h rounded to the nearest ten? 20 Let m = 4 - 60. Let g = m + 56.46. What is g rounded to one dp? 0.5 Let t = -196.2 + 373.3. Round t to the nearest ten. 180 Let v(u) = 5*u + 7*u**2 - 5*u**2 + 24*u + 16 + 11084*u**3. Let s be v(-16). Round s to the nearest 1000000. -45000000 Let j = -325882 - -325710.267. Let c = j - 0.267. Let r = -172.099 - c. What is r rounded to two dps? -0.1 Let r(g) = 1193*g**2 + 16*g + 351. Let d be r(-12). Let v = 1595 + -305546. Let n = v + d. Round n to the nearest 10000. -130000 Let a = -153695.00125 + 153520. Let v = a - -175. What is v rounded to 4 decimal places? -0.0013 Let z = 3 - 3.28. Let i = 65.5 + -65.781. Let l = z - i. What is l rounded to 3 dps? 0.001 Let r(l) = -l**3 - 9*l**2 - 8*l - 3. Let w be r(-8). Let d be ((-3650000)/6)/(w/36). What is d rounded to the nearest 1000000? 7000000 Let q = 459.8759412164 - -0.1240561936. Let p = q + -460. What is p rounded to 7 decimal places? -0.0000026 Let a = -83 + 87. Let u be -2 + (6 - 0 - -1). Suppose -4*b + w + 1720005 = 0, -u*b - a*w + 2149980 = -0*b. Round b to the nearest one hundred thousand. 400000 Let w = -481 - -1759. Let i = 1470.7 - w. Let q = 163 - i. What is q rounded to 0 dps? -30 Let v = 11.25 + -11.2499995135. Round v to seven dps. 0.0000005 Let j be -6 - (-22)/(8/882552*3). What is j rounded to the nearest one hundred thousand? 800000 Let o = -62 - 50. Let m = -112.00000077 - o. Round m to six dps. -0.000001 Let d = 32 + -32.3. Let i = d - -0.29999792. What is i rounded to 7 dps? -0.0000021 Suppose -4*q + z - 13427 = -0*q, 3*q - 5*z + 10066 = 0. Let s be (-6)/10 + q/(-45). Suppose -61 = -5*d + s. Round d to the nearest ten. 30 Let z be (7/(-4))/((-3)/(-120)). What is z rounded to the nearest one hundred? -100 Let t = -1132.0001115 + 1132. Round t to six decimal places. -0.000112 Suppose 5*j - 13 = -t - 2*t, -5*j - t = -21. Suppose x - j*x = -3*a + 452, -4*a = -2*x - 616. Suppose 0 = 2*i + i - a. Round i to the nearest ten. 50 Let s be (3633/105)/(1*(-2)/(-10)). What is s rounded to the nearest 100? 200 Let j = 16 + 8. Let m = -10820.932 - -10797. Let f = j + m. What is f rounded to 2 decimal places? 0.07 Let l = -783.08 - -835. Let t = l - -1.08. Let h = t - 53.0054. What is h rounded to three dps? -0.005 Let g = 69 - 11. Let i = g + -58.062. Let r = i + 0.06. What is r rounded to 3 dps? -0.002 Suppose j = 6*j - 35. Suppose -j*z + 4152347 = -25947653. What is z rounded to the nearest one million? 4000000 Let j be (-15)/6*2/(-5). Let g be 4*2*j/(-4). Let b(v) = -949999*v**2 + 3*v + 2. Let a be b(g). What is a rounded to the nearest one million? -4000000 Let g = -651 + 635.93. What is g rounded to the nearest integer? -15 Let c(b) = -10*b**3 + 11*b**2 + b + 6. Let s be c(-9). Let w = -2062 - s. What is w rounded to the nearest one thousand? -10000 Let q = -9301.0006043 - -9301. Round q to five decimal places. -0.0006 Suppose 0 = 3*a + 5*x + 4 + 2, 5*x = -5*a. Suppose 2*l = -3*p - 119997, 0 = -a*l - p + 5*p - 180004. What is l rounded to the nearest 100000? -100000 Let l = -0.0496 - -330.0496. Let a = 184 - l. Let d = 145.99999899 + a. What is d rounded to seven decimal places? -0.000001 Let p be 191452/(-12) - (-4)/(-6). Suppose -3*z = 3*t - 23422 - 1610, 3*t = 2*z - 16693. Let a = z - p. What is a rounded to the nearest one thousand? 24000 Suppose 42*a - 13200 = 53*a. Round a to the nearest 100. -1200 Suppose 0*a + 2*a - 4 = 0. Suppose -d = -4*b - 97996, 4*d = -a*b
{ "pile_set_name": "DM Mathematics" }
300 a multiple of 30? False Is 8 a factor of 336? True Does 2 divide 23781? False Is 1435 a multiple of 35? True Is 2793 even? False Does 47 divide 38540? True Does 19 divide 44? False Does 14 divide 620? False Does 12 divide 29628? True Does 21 divide 210? True Is 2163 a multiple of 6? False Is 1500 a multiple of 30? True Does 5 divide 2175? True Is 193 a multiple of 7? False Is 610 a multiple of 10? True Is 1470 a multiple of 105? True Does 35 divide 35089? False Is 5997 a multiple of 7? False Is 26 a factor of 8630? False Is 3 even? False Is 60 a factor of 70920? True Is 45 a factor of 19530? True Is 47 a factor of 10810? True Is 9 a factor of 46665? True Is 708 a multiple of 3? True Is 54 a factor of 1674? True Is 10389 a multiple of 23? False Does 34 divide 287? False Is 13 a factor of 1482? True Is 1491 a multiple of 21? True Does 16 divide 10994? False Is 2596 a multiple of 44? True Does 21 divide 735? True Is 17 a factor of 827? False Does 19 divide 1495? False Is 24 a factor of 323? False Does 41 divide 98? False Is 32 a factor of 1052? False Does 68 divide 35836? True Is 1980 a multiple of 22? True Does 60 divide 180? True Is 42 a factor of 2226? True Is 96 a multiple of 88? False Is 3538 a multiple of 22? False Is 845 a multiple of 65? True Is 7378 a multiple of 200? False Does 40 divide 4494? False Is 12 a factor of 480? True Is 11 a factor of 209? True Is 83 a factor of 26470? False Does 14 divide 16847? False Is 15686 a multiple of 31? True Is 574 a multiple of 41? True Does 15 divide 2655? True Is 39 a factor of 8346? True Is 2175 a multiple of 47? False Does 55 divide 15840? True Is 80 a factor of 817? False Does 17 divide 136? True Is 67 a factor of 24790? True Is 168478 a multiple of 69? False Is 2452 a multiple of 11? False Is 16046 a multiple of 14? False Is 14 a factor of 22338? False Is 1502 a multiple of 21? False Does 34 divide 12040? False Is 1299 a multiple of 6? False Is 170 a multiple of 17? True Is 1503 a multiple of 4? False Is 34 a factor of 581? False Does 29 divide 464? True Is 699 a multiple of 11? False Is 2354 a multiple of 26? False Is 45 a factor of 40897? False Is 74 a factor of 7548? True Is 82192 a multiple of 44? True Is 23 a factor of 1081? True Is 6366 a multiple of 8? False Is 36 a factor of 39072? False Is 10263 a multiple of 33? True Does 5 divide 750? True Is 89 a factor of 712? True Does 37 divide 333? True Is 52 a factor of 3641? False Is 274 a factor of 24348? False Is 7250 a multiple of 16? False Does 35 divide 35? True Is 39 a factor of 1443? True Does 36 divide 612? True Is 5 a factor of 9861? False Does 16 divide 24688? True Is 4 a factor of 560? True Is 8767 a multiple of 118? False Does 8 divide 37? False Is 5874 a multiple of 89? True Is 2 a factor of 1618? True Is 9 a factor of 2019? False Does 245 divide 42889? False Is 1080 a multiple of 12? True Is 17 a factor of 18181? False Is 42 a factor of 47628? True Does 11 divide 3487? True Does 12 divide 51780? True Is 2292 a multiple of 12? True Is 12 a factor of 1524? True Does 27 divide 6075? True Is 12699 a multiple of 50? False Does 59 divide 2478? True Is 28832 a multiple of 136? True Is 129 a factor of 1935? True Is 2262 a multiple of 87? True Is 6 a factor of 1050? True Does 171 divide 79515? True Is 23 a factor of 9166? False Is 97 a factor of 4268? True Does 9 divide 5220? True Is 145 a factor of 7341? False Is 4312 a multiple of 129? False Is 260 a multiple of 11? False Does 12 divide 13080? True Is 206 a multiple of 29? False Is 975 a multiple of 15? True Is 1620 a multiple of 21? False Is 29 a factor of 388? False Is 56 a multiple of 12? False Is 832 a multiple of 27? False Is 22260 a multiple of 42? True Is 3335 a multiple of 145? True Does 15 divide 1007? False Does 2 divide 77? False Is 8 a factor of 129? False Is 975 a multiple of 39? True Is 1262 a multiple of 22? False Does 77 divide 5082? True Does 82 divide 11360? False Does 9 divide 418? False Is 582 a multiple of 3? True Is 20175 a multiple of 120? False Is 1250 a multiple of 25? True Is 23 a factor of 9292? True Does 12 divide 5785? False Is 216 a multiple of 27? True Is 86 a factor of 1441? False Is 10 a factor of 1863? False Does 3 divide 2871? True Is 233 a factor of 18134? False Is 226 a factor of 2034? True Does 95 divide 12917? False Is 19 a factor of 836? True Does 26 divide 849? False Does 4 divide 4568? True Is 14688 a multiple of 27? True Does 16 divide 6752? True Does 41 divide 1066? True Is 470 a multiple of 7? False Does 4 divide 4780? True Is 12411 a multiple of 21? True Does 3 divide 1662? True Is 222 a multiple of 54? False Is 8 a factor of 441? False Is 1128 a multiple of 12? True Does 4 divide 105? False Is 155916 a multiple of 244? True Is 19 a factor of 2166? True Does 100 divide 5900? True Is 26 a factor of 32578? True Is 117 a factor of 24732? False Is 31 a factor of 2387? True Is 7 a factor of 3236? False Does 8 divide 142? False Is 209 a multiple of 39? False Is 32 a factor of 1216? True Is 11 a factor of 3023? False Does 9 divide 576? True Does 30 divide 690? True Is 14 a factor of 1442? True Is 112 a factor of 3151? False Is 15 a factor of 655? False Is 71 a factor of 5566? False Is 4982 a multiple of 18? False Does 39 divide 978? False Is 12771 a multiple of 99? True Does 26 divide 943? False Is 59 a factor of 2429? False Is 8 a factor of 16720? True Is 88560 a multiple of 122? False Does 16 divide 187? False Does 24 divide 720? True Does 26 divide 609? False Is 4 a factor of 5237? False Does 7 divide 366? False Is 216 a factor of 14893? False Is 6495 a multiple of 29? False Does 41 divide 2542? True Is 4557 a multiple of 20? False Is 15 a factor of 21990? True Is 53 a factor of 3786? False Does 7 divide 12601? False Is 7280 a multiple of 112? True Does 40 divide 4037? False Is 66 a factor of 26171? False Does 25 divide 2018? False Does 12 divide 787? False Is 147392 a multiple of 56? True Is 2376 a multiple of 132? True Does 8 divide 2278? False Is 43 a factor of 1290? True Is 9 even? False Does 10 divide 612? False Is 44691 a multiple of 13? False Does 68 divide 1836? True Is 85 a factor of 2890? True Is 1875 a multiple of 25? True Does 6 divide 9? False Does 29 divide 368? False Is 14526 a multiple of 11? False Is 924 a multiple of 42? True Does 86 divide 4568? False Is 91 a factor of 8075? False Is 53 a factor of 5710? False Is 89 a factor of 34821? False Does 9 divide 422? False Is 7460 a multiple of 72? False Is 14 a factor of 180? False Is 10791 a multiple of 16? False Is 5 a factor of 372? False Does 9 divide 333? True Is 15726 a multiple of 146? False Is 3719 a multiple of 48? False Is 55 a factor of 4730? True Does 26 divide 82? False Is 21 a factor of 4830? True Is 4 a factor of 15500? True Does 14 divide 159? False Is 196 a multiple of 7? True Is 49 a factor of 10327? False Does 2 divide 33? False Is 79 a factor of 3621? False Does 10 divide 1300? True Does 10 divide 16201? False Is 9 a factor of 831? False Is 51 a multiple of 17? True Does 18 divide 7847? False Is 26525 a multiple of 110? False Does 24 divide 264? True Does 53 divide 1166? True Does 10 divide 12440? True Does 22 divide 549? False Does 18 divide 1717? False Is 59 a factor of 13747? True Is 20 a factor of 11300? True Is 29 a factor of 638? True Is 176 a factor of 30448? True Is 14 a factor of 11548? False Is 63 a multiple of 21? True Is 11 a factor of 107? False Is 26 a factor of 260? True Does 19 divide 969? True Does 16 divide 1152? True Does 8 divide 336? True Does 20 divide 5669? False Is 26 a factor of 2522? True Is 12 a factor of 3797? False Is 42 a factor of 159? False Does 5 divide 925? True Is 24361 a multiple of 17? True Is 48 a factor of 384? True Is 12 a factor of 73940? False Is 15004 a multiple of 39? False Is 747 a multiple of 19? False Is 13 a factor of 1009? False Is 67 a factor of 23300? False Does 16 divide 603? False Is 434 a multiple of 3? False Does 23 divide 46? True Is 19 a factor of 5928? True Is 54 a factor of 209? False Is 15325 a multiple of 25? True Is 831 a multiple of 115? False Is 45560 a multiple of 17? True Does 19 divide 147? False Is 120 a factor of 6960? True Is 13510 a multiple of 35? True Is 21432 a multiple of 4? True D
{ "pile_set_name": "DM Mathematics" }
hs? 0.0049369675 How many milligrams are there in seven quarters of a gram? 1750 Convert 0.6744298 millennia to months. 8093.1576 What is 1/4 of a millimeter in micrometers? 250 How many minutes are there in 7129.023 days? 10265793.12 How many seconds are there in 3/56 of a week? 32400 How many micrometers are there in one twentieth of a meter? 50000 How many months are there in 3/5 of a decade? 72 What is 519614.2nm in micrometers? 519.6142 Convert 46.87432 millilitres to litres. 0.04687432 What is 176.928003 microseconds in weeks? 0.0000000002925396875 How many litres are there in 0.6019623 millilitres? 0.0006019623 What is 37.47323 nanometers in meters? 0.00000003747323 What is one sixth of a minute in seconds? 10 How many minutes are there in 29/6 of a day? 6960 How many years are there in 21/4 of a millennium? 5250 How many meters are there in one fifth of a kilometer? 200 How many months are there in 3/25 of a century? 144 Convert 4119.342 micrograms to tonnes. 0.000000004119342 How many millilitres are there in twenty-one fifths of a litre? 4200 How many minutes are there in 865902.9 weeks? 8728301232 How many litres are there in 669.3076 millilitres? 0.6693076 Convert 0.9998991g to nanograms. 999899100 How many millilitres are there in twenty-six fifths of a litre? 5200 What is 572192.1ug in kilograms? 0.0005721921 What is 3979.2cm in micrometers? 39792000 How many nanograms are there in 3/8 of a microgram? 375 What is twenty-one halves of a litre in millilitres? 10500 How many litres are there in 344715.5 millilitres? 344.7155 How many centimeters are there in 3/5 of a meter? 60 How many meters are there in nineteen quarters of a kilometer? 4750 How many centimeters are there in 3909.814 millimeters? 390.9814 Convert 0.6597461 milligrams to micrograms. 659.7461 What is 95064.38 centuries in millennia? 9506.438 Convert 0.6539081l to millilitres. 653.9081 How many micrograms are there in five quarters of a milligram? 1250 Convert 93193.08mm to micrometers. 93193080 What is 98328.61 minutes in milliseconds? 5899716600 How many decades are there in fourty-five halves of a millennium? 2250 How many milliseconds are there in 771726.5s? 771726500 What is 716647.3 micrometers in millimeters? 716.6473 How many microseconds are there in 7.872032 days? 680143564800 How many hours are there in 377.35245 seconds? 0.104820125 What is six fifths of a millisecond in microseconds? 1200 What is 61/2 of a litre in millilitres? 30500 How many nanograms are there in eleven quarters of a microgram? 2750 Convert 28407.28ml to litres. 28.40728 How many nanometers are there in twenty-one fifths of a micrometer? 4200 What is 54729.7 nanoseconds in microseconds? 54.7297 What is one twentieth of a micrometer in nanometers? 50 Convert 216.0699 nanometers to micrometers. 0.2160699 What is 14.41857 kilometers in centimeters? 1441857 What is 42076.43 millennia in centuries? 420764.3 How many micrograms are there in 0.984103mg? 984.103 How many millilitres are there in 4.214421l? 4214.421 What is 87.87652ml in litres? 0.08787652 What is 1/10 of a milligram in nanograms? 100000 What is three tenths of a centimeter in micrometers? 3000 Convert 97103.82 days to milliseconds. 8389770048000 Convert 492640.38us to hours. 0.00013684455 How many micrograms are there in 2504.94kg? 2504940000000 How many nanometers are there in 7766.948 kilometers? 7766948000000000 Convert 7129.532 milligrams to micrograms. 7129532 What is 75/2 of a microgram in nanograms? 37500 What is 438219.8 nanometers in meters? 0.0004382198 Convert 1253325.6 months to centuries. 1044.438 How many hours are there in 7/8 of a week? 147 What is fifty-one quarters of a second in milliseconds? 12750 What is 6.515951 decades in centuries? 0.6515951 What is 2296.869 nanograms in grams? 0.000002296869 How many milliseconds are there in 21/4 of a second? 5250 How many weeks are there in 1981.9212 days? 283.1316 What is 27/5 of a tonne in kilograms? 5400 What is 268.9197 years in centuries? 2.689197 What is one quarter of a kilometer in centimeters? 25000 What is 6037753.5 nanoseconds in days? 0.00000006988140625 How many millimeters are there in 71065.98km? 71065980000 What is 10867.704 months in millennia? 0.905642 How many years are there in thirty-seven halves of a century? 1850 Convert 31360.91 milliseconds to seconds. 31.36091 How many litres are there in 43411.4ml? 43.4114 What is twenty-one halves of a gram in milligrams? 10500 What is one quarter of a litre in millilitres? 250 How many millilitres are there in one quarter of a litre? 250 Convert 143602.452 hours to weeks. 854.7765 Convert 793.7076 decades to years. 7937.076 What is 32.24405 weeks in nanoseconds? 19501201440000000 What is seven quarters of a decade in months? 210 What is 5/4 of a kilogram in grams? 1250 What is 4.598517 days in seconds? 397311.8688 Convert 55174.13g to milligrams. 55174130 How many micrograms are there in 36.60207mg? 36602.07 What is 15/4 of a century in years? 375 How many kilograms are there in 3/25 of a tonne? 120 How many millimeters are there in one fifth of a centimeter? 2 Convert 447.8848 micrograms to nanograms. 447884.8 What is 38.52532ug in nanograms? 38525.32 What is five quarters of a litre in millilitres? 1250 Convert 2.0969457 months to millennia. 0.000174745475 How many years are there in 15/4 of a century? 375 Convert 920.5847 nanometers to meters. 0.0000009205847 What is 4.56095 centimeters in meters? 0.0456095 What is 6/5 of a millimeter in micrometers? 1200 Convert 9.459034 decades to millennia. 0.09459034 Convert 0.6700075 micrograms to milligrams. 0.0006700075 How many weeks are there in 3034.5945 hours? 18.0630625 Convert 33156.95mm to kilometers. 0.03315695 How many days are there in 1263777.3 hours? 52657.3875 How many decades are there in one fifth of a century? 2 What is three eighths of a kilometer in meters? 375 What is 1/5 of a minute in milliseconds? 12000 What is 117.920313ns in weeks? 0.0000000000001949740625 How many micrometers are there in 0.6936071 meters? 693607.1 How many millennia are there in 0.6659664 centuries? 0.06659664 How many nanoseconds are there in fourty-seven quarters of a microsecond? 11750 How many years are there in five quarters of a millennium? 1250 How many months are there in eight thirds of a decade? 320 How many meters are there in 71/4 of a kilometer? 17750 What is 5/4 of a microgram in nanograms? 1250 How many millimeters are there in 88862.54 meters? 88862540 Convert 700615.5 months to decades. 5838.4625 How many months are there in thirty-two fifths of a century? 7680 How many nanometers are there in 1/20 of a micrometer? 50 What is 29.27328 nanometers in micrometers? 0.02927328 How many years are there in twenty-one quarters of a millennium? 5250 How many millilitres are there in five eighths of a litre? 625 What is twenty-five quarters of a litre in millilitres? 6250 How many millimeters are there in 3/5 of a centimeter? 6 How many millimeters are there in 8436.444um? 8.436444 Convert 1941.678 hours to days. 80.90325 How many millilitres are there in 25681.98l? 25681980 Convert 7589.699 centimeters to millimeters. 75896.99 How many nanoseconds are there in thirteen fifths of a microsecond? 2600 What is five eighths of a kilometer in meters? 625 How many meters are there in 2.579605cm? 0.02579605 What is 748.0399l in millilitres? 748039.9 How many months are there in five eighths of a decade? 75 What is 0.6073455 months in years? 0.050612125 How many minutes are there in seventeen quarters of a day? 6120 How many months are there in nineteen quarters of a year? 57 What is 18/5 of a millimeter in micrometers? 3600 How many millilitres are there in 21/2 of a litre? 10500 What is thirteen quarters of a litre in millilitres? 3250 How many millilitres are there in 0.2325148 litres? 232.5148 How many micrometers are there in 9.461353mm? 9461.353 What is 56524.07ug in nanograms? 56524070 How many tonnes are there in 1440.901 nanograms? 0.000000000001440901 Convert 5.698812 centimeters to nanometers. 56988120 What is 4.903883mg in grams? 0.004903883 Convert 40.54742nm to centimeters. 0.000004054742 What is 335.7325m in millimeters? 335732.5 Convert 8921.22 nanos
{ "pile_set_name": "DM Mathematics" }
/2*w**2 + 1/3*w**3. What is the units digit of j(7)? 5 Let r(w) = 2*w**2 - 9*w + 2. Let b be r(6). Let i = -6 + b. What is the tens digit of i? 1 Let x be 3 + 0 + 2 + -1. Let a be (-24)/(-15) + x/10. Suppose -6 = -3*u + a*u. What is the units digit of u? 6 Let f(c) be the second derivative of 4*c**3/3 - 7*c**2/2 - 8*c. What is the tens digit of f(5)? 3 Suppose 4*l = 5*c + l + 15, -2*c = -4*l + 6. Let i be (c/(-6))/((-1)/(-2)). What is the units digit of (-3)/(i*(-9)/6)? 2 Let x(a) = -3*a + 4. Let d(q) = -q - 1. Let j(z) = -2*d(z) - x(z). What is the units digit of j(2)? 8 Let y(c) = 64*c**2 + 4*c. What is the tens digit of y(1)? 6 Let n(t) = t + 20. What is the units digit of n(-5)? 5 Let z be 2/(-2)*3/3. Let u(b) = 8*b**2 + 1. What is the units digit of u(z)? 9 Let n(o) = o**3 + 7*o**2 + 6*o + 4. Let h be -1*((-2 - 1) + 8). What is the units digit of n(h)? 4 Suppose -2*r + 3*i - 7 = 0, 4*r - 5*i + 2*i + 5 = 0. What is the units digit of (-1)/1*(r - 12)? 1 What is the units digit of (-5)/(-40)*170 + (-2)/8? 1 Let m be (5 + -6)/((-1)/2). Let x = -2 + m. Suppose x = 3*f - 12, -9*s + 4*s + 20 = -5*f. What is the units digit of s? 8 Suppose 4*c - 3*z = -1, 3*c - 3*z = -4*z + 9. Suppose -13 = -a - m, 0 = c*a - m + 23 - 55. What is the units digit of a? 5 Let r be (-4 - (-2 - -1)) + 3. Let o = 3 + 7. Let w = o - r. What is the tens digit of w? 1 Let h be (-1981)/4 + 6/24. Let i be h/(-20) + (-3)/4. Suppose i = -2*q + 6*q. What is the units digit of q? 6 Let m(b) = -2*b**3 - 2*b**2 + 3*b + 3. Let a be m(-3). What is the tens digit of a*(-5)/((-45)/6)? 2 Let g(n) = 5*n**2 - 1. Let s be g(1). Let t = s - 0. What is the units digit of t? 4 Let t = 0 + -1. Let g be 0 + t - (-1)/(-1). What is the units digit of (0 + (1 - 5))/g? 2 Suppose -3*m - 2*u + 87 = 2*u, -u + 162 = 5*m. Let c = m - 23. What is the tens digit of c? 1 Let o be (-1)/((-2)/8)*2. Let y = -5 + o. What is the units digit of y? 3 Let p(y) = y**3 - 6*y**2 - 7*y + 7. Suppose 0 = 2*s - 6*s + 56. Let w be 0 - s/(0 + -2). What is the units digit of p(w)? 7 What is the tens digit of (19 + -17)*(1 - -22)? 4 Let p = 4 + -4. Suppose h + 1 = -2*w + 5, -2*h + 2*w - 4 = p. What is the units digit of 1*9*(1 + h)? 9 Let d(c) be the second derivative of -c**3/6 + 4*c. What is the units digit of d(-3)? 3 Suppose 4*p + 6 = 2*p. What is the units digit of (-4 - (p - -1))*-9? 8 Let z = 17 + 17. What is the units digit of z? 4 Let m = -21 - -44. What is the tens digit of m? 2 Let v be (3/(-5))/((-1)/5). Suppose 0 = v*w + 2*r - 44, -4*w + w = 3*r - 39. Let d = w + -9. What is the units digit of d? 9 Let x = 6 - 4. Suppose 2*d - 8 - x = 0. What is the units digit of d? 5 Let f be 2/6 + (-28)/(-6). Suppose 0 = 5*i - 2*s - f, s = -i - 3*i + 17. What is the units digit of i? 3 Suppose -g + 5*g = 108. Suppose -w - g = 2*a, 2*w = -3*a - 1 - 50. What is the units digit of (1 - w/(-6))*-2? 5 Let l = 0 - 1. Let z(g) = g - 1. Let t(i) = -i + 3. Let w(r) = l*t(r) - 2*z(r). What is the units digit of w(-8)? 7 Let j(f) = -f**3 - 7*f**2 + 6*f. Let g be j(-8). Suppose -42 + g = -2*c. What is the units digit of c? 3 Let d(a) = 62*a**3 - 2*a + 1. What is the units digit of d(1)? 1 Suppose 3*h = y - 50, 5*h = 3*y - 0*h - 150. What is the tens digit of y? 5 Let r = -70 + 104. What is the units digit of r? 4 Let l(n) = n**2 - 3*n + 13. What is the tens digit of l(6)? 3 Let k = 184 + 10. What is the tens digit of k? 9 Let u = -5 + -1. What is the tens digit of ((-46)/u)/(2/6)? 2 Let y be (-26)/(-6) - (-3)/(-9). Suppose b = -2*b + 18. Suppose -y*s + b = 2. What is the units digit of s? 1 Suppose 6 + 2 = 2*r. Let i = r - -3. Suppose -i*h + 10 = -2*h. What is the units digit of h? 2 Let x(w) = w**3 - 5*w**2 - 8*w + 7. Let k be x(6). Suppose 4*d + 2*b = -7 + 23, -3*d - b + 11 = 0. What is the units digit of 3 + k - -1*d? 1 Suppose -10 = -11*d + 6*d. Let h(j) = 3*j**2 + 4*j**2 - 3 + 6 - 8*j**2 - 3*j + 2*j**3. What is the units digit of h(d)? 9 Suppose -68 = -4*h - 3*z + 65, -5*h = z - 158. Suppose 2*c + 4*y = c + h, 50 = 2*c + 4*y. What is the tens digit of c? 1 What is the units digit of (37 + -2)*(0 - -1)? 5 Let k be (2 + 0)/((-3)/(-3)). Suppose 4*t - k*t + 5*n = -4, 2*t - 8 = -2*n. What is the units digit of t? 8 What is the units digit of ((-14)/(-21))/((-4)/(-2442))? 7 Let t = 267 + -190. Let p = -48 + t. Let m = p - 18. What is the units digit of m? 1 Suppose -2*f + 8 = -6. Let u(b) = 2 - 1 - f*b + 0*b**2 - b**2. What is the units digit of u(-7)? 1 Let d be ((-9)/6)/(6/8). Let a be (d/(-3))/((-4)/6). What is the units digit of ((-2)/(-6))/(a/(-9))? 3 Let i be 6/8*(-16)/(-4). Let x(w) = 0*w**3 + 9 + 8*w - 5*w**3 + 4*w**3 - i + 6*w**2. What is the units digit of x(7)? 3 Let c(a) = -7*a - 1 + 9*a + 8*a + 12 - a**2. What is the units digit of c(9)? 0 Let d(o) = 2*o**2 + 6*o + 3. Let g(k) = 3*k**2 + 11*k + 6. Let z(j) = 7*d(j) - 4*g(j). What is the units digit of z(-2)? 9 Suppose 5*c - 26 = -6. What is the units digit of c? 4 Let u be (-62)/(-14) - (-24)/(-56). Suppose q + 2*g = 10, 5*q = u*g - 3*g + 39. What is the units digit of q? 8 Suppose 3*y - 26 = 2*k - y, -k - 2*y + 7 = 0. Let v be (3 + -2)/(2 + k). What is the units digit of (-22)/(-1*(v - -3))? 1 Let i be ((-34)/8 - -4)*0. What is the tens digit of (-86)/4*(i + -2)? 4 Suppose -6*k = -79 - 191. What is the units digit of k? 5 Let p be (1 + 0)/(1/3). Suppose 0 = -3*c, t - 2*c = -p + 5. What is the units digit of (7/3)/(t/6)? 7 Let p(y) = -13*y**2 + 11*y. Let b(z) = -7*z**2 + 6*z. Let x(j) = 11*b(j) - 6*p(j). What is the units digit of x(-2)? 4 Let i(t) = -1 - 2*t + 3*t + 6 + 0*t. What is the units digit of i(4)? 9 Suppose -4*j - 4*t = 16, 5*j + t - 4*t = -20. Let p(u) = -u - 3. What is the units digit of p(j)? 1 Let l be (4/(-16))/((-1)/4). Let f be (l - 6)*(-4)/10. What is the units digit of -3 - (-12)/(f - 1)? 9 Let h be (-6 - (-2)/(-2)) + -3. Let b(z) = -z**2 - 14*z - 8. What is the tens digit of b(h)? 3 Let p be (-66)/(-4) - (-2)/(-4). What is the tens digit of (-100)/(-7) - p/56? 1 Suppose -w - 57 = -4*l, 6*l - 2*l = -2*w + 66. What is the tens digit of l? 1 Let c(k) = k**3 + 16*k**2 + 21*k + 24. What is the tens digit of c(-14)? 2 Let f = -1 - -1. Suppose f*u - u + 21 = 0. What is the tens digit of u? 2 Suppose 0 = -p + 3*p - 6. Suppose -2*d - 2*n + 18 = 0, 7*d - 28 = p*d - 2*n. What is the units digit of d? 5 Suppose 5*f = 3*f + 86. What is the tens digit of f? 4 Suppose 0 = 4*b + 4*z - 48, 5*b + 2*z = 6*z + 42. What is the units digit of b? 0 Let o = -265 - -381. What is the tens digit of o? 1 What is the tens digit of (-1)/3 - (-3)/(9/361)? 2 Let y(m) = 2*m - 7. Let r be y(7). What is the tens digit of (-2)/2*(-70)/r? 1 Let b(p) = -23*p**2 + p. Let x = -2 + 3. Let f be b(x). Let t = -16 - f. What is the units digit of t? 6 Let h be (-3 - 3)/3 + 6. Let n(l) = 11 + l - 3*l - h. What is the units digit of n(-5)? 7 Let u(o) = o**2 + o + 8. What is the units digit of u(0)? 8 Suppose -r - 24 = 3*r. What is the tens digit of r/4*40/(-6)? 1 Suppose 43 = 4*y - 25. What is the units digit of y? 7 What is the tens digit of -2 - (-24)/(3/3)? 2 Let r(a) = -4*a**2 + 4*a - 3. Let f(w) = 3*w**2 - 5*w + 2. Let c(k) = -5*f(k) - 4*r(k). What is the units digit of c(-9)? 2 Let k(o) be the first derivative of o**4/4 + 2*o**3 + 5*o**2/2 + 4*o + 1. Let w be k(-5). Suppose 10 = -2*i + w*i. What is the units digit of i? 5 Let p(f) = -f**3 - 9*f**2 + 8*f - 14. What is the units digit of p(-10)? 6 Let g(n) = -2*n**3 - n - 1. Let q be g(-1). What is the units digit of (q/(-5))/((-4)/10)? 1 Let m(y) = -y**3 - 4*y**2 - 2*y - 6. Let s be (-2 - -3) + (-2 - 3). Let q be m(s). Suppose 13 + 1 = q*c. What is the units digit of c? 7 Suppose 2 + 8 = 5*b. Let n = -1 - 0. What is the units digit of 1/b + n/(-2)? 1 Suppose -v + 4*z = z - 9, 3*v + 4*z + 25 = 0. Let i = v + 6. What is the units digit of i? 3 Let a = 15 + -5. What is the units digit of ((-3)/(-2))/(3/a)? 5 Let w = 2 - -1. Suppose w*v - 45 = -3*f, 3*f - 61 - 12 = -5*v. What is the units digit of v? 4 Suppose -18 = 4*a - 6*a. What is the units digit of a/(((-81)/(-42))/9)? 2 Let x(s) = s**2 + 11*s + 5. Suppose -y + 6*y + 50 = 0. Let w be x(y). Let j(r) = r**3 + 4*r**2 - 7*r + 2. What is the tens digit of j(w)? 1 Suppose 11*m + 74 = 12*m. What
{ "pile_set_name": "DM Mathematics" }
14 What is 387769143 to the power of 1/7, to the nearest integer? 17 What is 7681463536 to the power of 1/2, to the nearest integer? 87644 What is the third root of 237941433 to the nearest integer? 620 What is 982582450 to the power of 1/2, to the nearest integer? 31346 What is 1166263 to the power of 1/2, to the nearest integer? 1080 What is the square root of 273375050 to the nearest integer? 16534 What is the sixth root of 9718405 to the nearest integer? 15 What is the cube root of 767493607 to the nearest integer? 916 What is the square root of 743129181 to the nearest integer? 27260 What is the cube root of 65208097 to the nearest integer? 403 What is the square root of 570199833 to the nearest integer? 23879 What is the cube root of 39484225 to the nearest integer? 341 What is 29496932 to the power of 1/2, to the nearest integer? 5431 What is the cube root of 97602470 to the nearest integer? 460 What is 648289249 to the power of 1/3, to the nearest integer? 865 What is the square root of 71726384 to the nearest integer? 8469 What is the cube root of 976159615 to the nearest integer? 992 What is the square root of 177970134 to the nearest integer? 13341 What is 503231533 to the power of 1/2, to the nearest integer? 22433 What is 595074421 to the power of 1/3, to the nearest integer? 841 What is the tenth root of 22113257 to the nearest integer? 5 What is 13552263 to the power of 1/3, to the nearest integer? 238 What is the sixth root of 201615603 to the nearest integer? 24 What is 4778931286 to the power of 1/3, to the nearest integer? 1684 What is the sixth root of 31040845 to the nearest integer? 18 What is the square root of 99899443 to the nearest integer? 9995 What is 1496479641 to the power of 1/2, to the nearest integer? 38684 What is 424917808 to the power of 1/2, to the nearest integer? 20614 What is 252017456 to the power of 1/3, to the nearest integer? 632 What is 32556215 to the power of 1/3, to the nearest integer? 319 What is the cube root of 58430643 to the nearest integer? 388 What is 4077644953 to the power of 1/5, to the nearest integer? 84 What is 47347273 to the power of 1/2, to the nearest integer? 6881 What is the tenth root of 95210445 to the nearest integer? 6 What is 316948208 to the power of 1/9, to the nearest integer? 9 What is 73042680 to the power of 1/3, to the nearest integer? 418 What is the third root of 7402719 to the nearest integer? 195 What is the cube root of 638203515 to the nearest integer? 861 What is the square root of 327196389 to the nearest integer? 18089 What is the square root of 1098535257 to the nearest integer? 33144 What is the fourth root of 1833046228 to the nearest integer? 207 What is 44133889 to the power of 1/2, to the nearest integer? 6643 What is the third root of 3363871429 to the nearest integer? 1498 What is the third root of 359261418 to the nearest integer? 711 What is the square root of 608771482 to the nearest integer? 24673 What is the cube root of 40858476 to the nearest integer? 344 What is 392116377 to the power of 1/3, to the nearest integer? 732 What is 7742085557 to the power of 1/3, to the nearest integer? 1978 What is the fifth root of 50606105 to the nearest integer? 35 What is the square root of 517298091 to the nearest integer? 22744 What is 4660509793 to the power of 1/2, to the nearest integer? 68268 What is the square root of 50306147 to the nearest integer? 7093 What is the third root of 145510074 to the nearest integer? 526 What is the square root of 66627999 to the nearest integer? 8163 What is the square root of 86570855 to the nearest integer? 9304 What is the third root of 98521674 to the nearest integer? 462 What is the fifth root of 251836863 to the nearest integer? 48 What is 890025261 to the power of 1/4, to the nearest integer? 173 What is 418463068 to the power of 1/2, to the nearest integer? 20456 What is the third root of 227694343 to the nearest integer? 611 What is the square root of 673423702 to the nearest integer? 25950 What is 503205387 to the power of 1/2, to the nearest integer? 22432 What is 335958418 to the power of 1/2, to the nearest integer? 18329 What is 1824619344 to the power of 1/2, to the nearest integer? 42716 What is 73856769 to the power of 1/6, to the nearest integer? 20 What is 348399786 to the power of 1/2, to the nearest integer? 18665 What is 390732368 to the power of 1/2, to the nearest integer? 19767 What is 487610456 to the power of 1/2, to the nearest integer? 22082 What is the third root of 425839713 to the nearest integer? 752 What is the sixth root of 485526817 to the nearest integer? 28 What is the fourth root of 1500409229 to the nearest integer? 197 What is the third root of 457775235 to the nearest integer? 771 What is the cube root of 1757521965 to the nearest integer? 1207 What is the eighth root of 17532023 to the nearest integer? 8 What is the square root of 43215748 to the nearest integer? 6574 What is 774723001 to the power of 1/4, to the nearest integer? 167 What is 63285237 to the power of 1/3, to the nearest integer? 399 What is the square root of 75000482 to the nearest integer? 8660 What is 13600545 to the power of 1/2, to the nearest integer? 3688 What is the square root of 128374837 to the nearest integer? 11330 What is 205413279 to the power of 1/8, to the nearest integer? 11 What is the third root of 49376492 to the nearest integer? 367 What is 500326487 to the power of 1/2, to the nearest integer? 22368 What is 83217082 to the power of 1/3, to the nearest integer? 437 What is 1251582012 to the power of 1/4, to the nearest integer? 188 What is the fourth root of 58643235 to the nearest integer? 88 What is 637122619 to the power of 1/2, to the nearest integer? 25241 What is 598392722 to the power of 1/10, to the nearest integer? 8 What is 1322429460 to the power of 1/5, to the nearest integer? 67 What is 44271865 to the power of 1/3, to the nearest integer? 354 What is 72972546 to the power of 1/3, to the nearest integer? 418 What is the square root of 332596772 to the nearest integer? 18237 What is the third root of 14826997 to the nearest integer? 246 What is the sixth root of 18817335 to the nearest integer? 16 What is the third root of 2020197699 to the nearest integer? 1264 What is 85004191 to the power of 1/3, to the nearest integer? 440 What is the square root of 4847517 to the nearest integer? 2202 What is 494920964 to the power of 1/8, to the nearest integer? 12 What is the square root of 494503746 to the nearest integer? 22237 What is 3683188682 to the power of 1/3, to the nearest integer? 1544 What is the eighth root of 429464806 to the nearest integer? 12 What is the fifth root of 15483905 to the nearest integer? 27 What is the seventh root of 28439220 to the nearest integer? 12 What is 73256255 to the power of 1/6, to the nearest integer? 20 What is 66655851 to the power of 1/8, to the nearest integer? 10 What is 532462231 to the power of 1/3, to the nearest integer? 811 What is 227450792 to the power of 1/4, to the nearest integer? 123 What is 27565110 to the power of 1/3, to the nearest integer? 302 What is the square root of 2534530675 to the nearest integer? 50344 What is 600939854 to the power of 1/8, to the nearest integer? 13 What is the cube root of 1103138146 to the nearest integer? 1033 What is 1162670164 to the power of 1/5, to the nearest integer? 65 What is the cube root of 27624285 to the nearest integer? 302 What is 116533036 to the power of 1/7, to the nearest integer? 14 What is the third root of 5093190 to the nearest integer? 172 What is the fourth root of 1988646114 to the nearest integer? 211 What is the third root of 466214723 to the nearest integer? 775 What is the square root of 12408907 to the nearest integer? 3523 What is the square root of 762995275 to the nearest integer? 27622 What is 8109411226 to the power of 1/3, to the nearest integer? 2009 What is 5813818358 to the power of 1/2, to the nearest integer? 76248 What is the cube root of 555168073 to the nearest integer? 822 What is the third root of 10002631 to the nearest integer? 215 What is the square root of 9620737 to the nearest integer? 3102 What is the tenth root of 47414575 to the neare
{ "pile_set_name": "DM Mathematics" }
u and 1 f when two letters picked without replacement from {h: 10, u: 2, a: 2, f: 2, v: 1, w: 3}. 2/95 Four letters picked without replacement from {i: 5, t: 4, c: 6}. Give prob of picking 4 t. 1/1365 Four letters picked without replacement from xrxzyeyt. Give prob of picking 1 t, 1 e, and 2 z. 0 Calculate prob of picking 1 u and 2 k when three letters picked without replacement from ukyyykyu. 1/28 Calculate prob of picking 2 n when two letters picked without replacement from {o: 2, h: 4, n: 4}. 2/15 Three letters picked without replacement from qcqttqlrqqqrtq. Give prob of picking 1 l, 1 c, and 1 q. 1/52 Three letters picked without replacement from loooouollooououl. What is prob of picking 3 u? 1/560 Two letters picked without replacement from {n: 1, o: 7, h: 1}. What is prob of picking 2 o? 7/12 Calculate prob of picking 1 k and 2 q when three letters picked without replacement from tkkqktqqq. 3/14 What is prob of picking 4 p when four letters picked without replacement from pydypppy? 1/70 Three letters picked without replacement from tqwtattwwwt. Give prob of picking 2 w and 1 t. 2/11 Three letters picked without replacement from phhmmvvmhhmmm. What is prob of picking 2 m and 1 p? 15/286 Two letters picked without replacement from {w: 2, a: 1, v: 2}. Give prob of picking 2 w. 1/10 Three letters picked without replacement from {z: 8, g: 1, v: 2, e: 2}. Give prob of picking 2 v and 1 z. 4/143 Three letters picked without replacement from qqkwwwyyewkfqqeekkwq. Give prob of picking 1 f and 2 y. 1/1140 Three letters picked without replacement from {s: 1, m: 2, u: 1, x: 2, c: 1}. What is prob of picking 2 m and 1 c? 1/35 Calculate prob of picking 1 r and 1 f when two letters picked without replacement from {f: 11, r: 2}. 11/39 Three letters picked without replacement from {e: 3, i: 1, o: 6, t: 4, h: 2, m: 2}. What is prob of picking 1 e, 1 t, and 1 h? 1/34 What is prob of picking 1 f and 2 x when three letters picked without replacement from fsvrx? 0 Calculate prob of picking 1 h and 2 i when three letters picked without replacement from qoieoieiihioeeiiiiq. 12/323 What is prob of picking 4 b when four letters picked without replacement from bnbbbnnbnbbnbnnb? 9/130 Calculate prob of picking 1 f and 2 s when three letters picked without replacement from {s: 5, m: 4, f: 1}. 1/12 Calculate prob of picking 3 s and 1 o when four letters picked without replacement from {s: 5, c: 1, o: 10, x: 1}. 5/119 Calculate prob of picking 1 o and 1 j when two letters picked without replacement from jjjopdojdjjjzojo. 4/15 Calculate prob of picking 1 a, 2 v, and 1 p when four letters picked without replacement from {x: 2, u: 3, k: 2, p: 1, v: 3, a: 1}. 1/165 Two letters picked without replacement from ssjiuuhhsrjsjjs. What is prob of picking 2 j? 2/35 Four letters picked without replacement from jvjjjjbbjbvbbjj. What is prob of picking 3 b and 1 v? 4/273 What is prob of picking 1 q and 2 u when three letters picked without replacement from ulaqqu? 1/10 Calculate prob of picking 2 h, 1 z, and 1 s when four letters picked without replacement from rshhrrrrz. 1/126 Two letters picked without replacement from djrrj. What is prob of picking 2 j? 1/10 Calculate prob of picking 2 i when two letters picked without replacement from hhhihhhhhhhhhiihhiih. 1/19 Three letters picked without replacement from ffrrtfrmtffrfrrtr. What is prob of picking 1 t, 1 r, and 1 m? 21/680 Two letters picked without replacement from {d: 6, s: 6}. What is prob of picking 2 s? 5/22 Calculate prob of picking 1 c and 1 l when two letters picked without replacement from {v: 5, c: 7, l: 1, m: 1, o: 2}. 7/120 Two letters picked without replacement from ldlssdmsmmdsddslsdds. What is prob of picking 1 d and 1 m? 21/190 What is prob of picking 2 j and 1 h when three letters picked without replacement from dfhjj? 1/10 Calculate prob of picking 1 i and 2 o when three letters picked without replacement from oiollfcjllilili. 4/455 Four letters picked without replacement from {q: 2, z: 6}. Give prob of picking 4 z. 3/14 Calculate prob of picking 3 z and 1 h when four letters picked without replacement from {x: 5, h: 1, r: 11, z: 3}. 1/4845 Three letters picked without replacement from {v: 2, x: 12, d: 5}. Give prob of picking 1 d and 2 v. 5/969 Four letters picked without replacement from izizzvzzizizizzvzi. Give prob of picking 3 z and 1 i. 4/17 Four letters picked without replacement from {j: 3, k: 2, v: 8, x: 2, d: 4}. What is prob of picking 2 k, 1 v, and 1 x? 4/969 Two letters picked without replacement from {b: 5, j: 9}. What is prob of picking 2 b? 10/91 Three letters picked without replacement from jjjjvgoojjjvjvjj. Give prob of picking 1 v, 1 g, and 1 j. 3/56 Four letters picked without replacement from vbvbvbbvvv. What is prob of picking 4 v? 1/14 What is prob of picking 3 y when three letters picked without replacement from {i: 2, y: 4, j: 1}? 4/35 Four letters picked without replacement from {j: 7, e: 1, d: 12}. What is prob of picking 1 e and 3 j? 7/969 Four letters picked without replacement from {g: 1, n: 2, l: 6, a: 7, x: 3}. Give prob of picking 1 n and 3 x. 1/1938 What is prob of picking 2 a when two letters picked without replacement from {e: 4, p: 6, a: 10}? 9/38 Three letters picked without replacement from {e: 4, b: 2, m: 2, d: 2, h: 2}. What is prob of picking 1 d and 2 m? 1/110 Three letters picked without replacement from {y: 3, d: 4, a: 5, l: 1}. What is prob of picking 1 d and 2 a? 20/143 Four letters picked without replacement from {b: 8, z: 4, t: 1, e: 2}. What is prob of picking 2 b and 2 e? 4/195 Two letters picked without replacement from {s: 3, z: 2, j: 3, q: 4, r: 2, u: 1}. What is prob of picking 2 j? 1/35 Three letters picked without replacement from lvphppap. Give prob of picking 1 p, 1 h, and 1 a. 1/14 Four letters picked without replacement from iioiiiioiiiiiiioio. Give prob of picking 1 i and 3 o. 14/765 What is prob of picking 1 n and 2 k when three letters picked without replacement from kkggkkgcnknkkkgkcckg? 3/38 Calculate prob of picking 1 e and 1 a when two letters picked without replacement from eaa. 2/3 What is prob of picking 1 g, 1 i, and 1 w when three letters picked without replacement from {w: 11, t: 2, r: 1, g: 3, i: 2}? 22/323 What is prob of picking 1 f and 1 c when two letters picked without replacement from {z: 2, x: 2, c: 1, s: 6, f: 1}? 1/66 Four letters picked without replacement from pdddddpppddpddpppdp. What is prob of picking 3 d and 1 p? 90/323 What is prob of picking 2 p when two letters picked without replacement from bbppqppqp? 5/18 Two letters picked without replacement from rrrrrr. What is prob of picking 2 r? 1 Four letters picked without replacement from ttittttixkxetdt. Give prob of picking 3 e and 1 t. 0 What is prob of picking 1 w and 1 p when two letters picked without replacement from {v: 2, t: 2, p: 3, b: 1, w: 1, g: 3}? 1/22 Four letters picked without replacement from lllsttllslteese. Give prob of picking 2 l and 2 t. 3/91 Calculate prob of picking 1 o and 2 v when three letters picked without replacement from {v: 6, o: 7}. 105/286 Three letters picked without replacement from nhhhhnn. What is prob of picking 2 n and 1 h? 12/35 What is prob of picking 2 b when two letters picked without replacement from bxqqxqbqbqqbbxqxqbq? 5/57 Two letters picked without replacement from ppppfpfp. Give prob of picking 2 f. 1/28 Calculate prob of picking 3 k when three letters picked without replacement from {x: 14, k: 5}. 10/969 Four letters picked without replacement from {m: 3, x: 4}. What is prob of picking 1 m and 3 x? 12/35 What is prob of picking 1 w and 1 a when two letters picked without replacement from {a: 2, w: 1, n: 6, h: 2, v: 7}? 2/153 What is prob of picking 3 o and 1 z when four letters picked without replacement from egseooeoooeeeez? 2/273 Three letters picked without replacement from vvvmeevm. What is prob of picking 2 e and 1 v? 1/14 Calculate prob of picking 1 o and 1 b when two letters picked without replacement from ttotxbk. 1/21 Three letters picked without replacement from hgoo. Give prob of picking 2 o and 1 h. 1/4 What is prob of picking 4 n when four letters picked without replacement from {o: 2, n: 7}? 5/18 Calcu
{ "pile_set_name": "DM Mathematics" }
y*y))))**(-38) assuming y is positive. y**(722/3) Simplify ((n**(-6/11)/(n*n**(-1)*n))**(1/35))**32 assuming n is positive. n**(-544/385) Simplify ((k*k**(-40))/k**(-13))**(-1/7) assuming k is positive. k**(26/7) Simplify (m/(m**(3/16)*m)*m*m)/m**(-5/4)*m**(-14)/(m/(m**(3/2)/m)) assuming m is positive. m**(-183/16) Simplify ((s**(-7)*s)/s**(-12))/(s/s**11)**18 assuming s is positive. s**186 Simplify (a**(-19)*((a*a**(1/19))/a)/a)/(a/(a**(-7)/a))**35 assuming a is positive. a**(-6364/19) Simplify ((o*o*o**20)/o)**(2/17)/((o/((o/((o/(o/(o**(-2/5)/o)))/o*o))/o))/(o*o*(o/(o/(o/(o/(o**33/o)))*o))/o)) assuming o is positive. o**(2964/85) Simplify (g**(-12)*g**(2/27))/(g**(4/3)/((g/g**(-3/13)*g*g)/g)) assuming g is positive. g**(-3871/351) Simplify ((p**16/p**(3/7))**(-15))**(-13/5) assuming p is positive. p**(4251/7) Simplify (u*u**(-5)*u)/u**(-3/20)*u**(4/7)*u*u/(u/((u**(-4/5)/u)/u*u*u)) assuming u is positive. u**(-291/140) Simplify (i**(-2/83)/i)/(i/(i**11/i))*i**(-21)/i**(-2/35) assuming i is positive. i**(-37669/2905) Simplify (q/q**3)/q**11*(q**(1/13)*q*q*q)**8 assuming q is positive. q**(151/13) Simplify (((y*(y*y**1/y)/y)/y)**(-14/5)/(y/(y*y**4)*y**5/y))**(3/16) assuming y is positive. 1 Simplify (i**(-4/3)*(i*i**(-3/10))/i*(i**(1/7)/i)/(i/i**(2/15)*i*i))**23 assuming i is positive. i**(-1725/14) Simplify (((j*j*(j*j*j/(j*j**(1/5)*j))/j*j*j)/(j/(j/j**(5/3))))/((j*(j*j**(4/7))/j)/((j/j**(-2))/j)))**(-29/2) assuming j is positive. j**(-7801/210) Simplify (r**(-4)*r)/(r**9/r*r*r)*r*r/(r*r*r*(r*(r*r/(r**23*r)*r*r)/r*r)/r*r)*r**(-23)/r assuming r is positive. r**(-19) Simplify m**(4/5)*m*m**(-9)*(m*(m/(m/m**(-10)))/m)/(m*m**(-2/17)) assuming m is positive. m**(-1537/85) Simplify (t**(-1/4)/((t**3/t)/t))/((((t*(t*t/(t**(-10/3)/t))/t)/t)/t)/(t/(t*t*t**7))) assuming t is positive. t**(-163/12) Simplify ((y/((y*y**2/y*y)/y))**45/((y**(-6)/y)/(y**(2/13)*y)))**(-24/13) assuming y is positive. y**(11496/169) Simplify ((m/(m/(m/(m**1/m))))**(-45)/(m**(-4)/m**4))**(1/2) assuming m is positive. m**(-37/2) Simplify ((k**(1/8)/(k*k**(5/2)))/(k**(-2/17)*k/k**8))**(27/7) assuming k is positive. k**(13743/952) Simplify a**(2/63)/a**10*a*a/(a/((a/(a/a**(1/19)))/a))*a*a**(1/8) assuming a is positive. a**(-84179/9576) Simplify (d**4/d*d**(-8))/(d**(-3/2)*d**7) assuming d is positive. d**(-21/2) Simplify (z/(z*z*z**(-16))*z**4)/(z**(-4)*z)**(-37) assuming z is positive. z**(-92) Simplify (q/q**(-5/6))**(1/48)*q*q/q**(3/2)*q*q*q**(-7/10)/q*q assuming q is positive. q**(2647/1440) Simplify ((z*z*(z/z**9*z)/z)/z)**(2/49)/(z**(7/2)/(z*z/(z/(z/((z/z**(-1/15))/z))))) assuming z is positive. z**(-389/210) Simplify (l**10/l*l)/l**(-5/4)*l**(-4/7)/(l/l**(-6)) assuming l is positive. l**(103/28) Simplify (y**(3/7)*y)**(1/97)*y**(-5/6)/(y/(y*y**(-2/9))) assuming y is positive. y**(-12721/12222) Simplify ((k**3*k*k/(k**3/k))/(k*k**(-3/8)*k**(4/5)))**(2/79) assuming k is positive. k**(63/1580) Simplify j**8*j/(j**(1/24)/j)*(j*j**(1/13)*j)/j*j/(j/(((j/(j*j*j*j/(j*j**(12/7))))/j)/j)*j) assuming j is positive. j**(16925/2184) Simplify (i*i**(-6)*i*i)**23/((i/i**(-4/5))/i)**(-3/10) assuming i is positive. i**(-1719/25) Simplify r/r**0*r*r**6/r*r*r**(-13)*r**(-12) assuming r is positive. r**(-17) Simplify (l**1)**(1/4)*l/(l*l/(l/l**(2/3)*l*l)*l)*l**(-2) assuming l is positive. l**(-17/12) Simplify (l**(-2/3)*l)**(-1/55)/(l**1*l*l*l**(-8)*l) assuming l is positive. l**(659/165) Simplify (r**(-6)*r*r**(3/7))/((r/r**(-3))/r)**(-2/17) assuming r is positive. r**(-502/119) Simplify ((l*l**4/l)/(l/(l*l*(l**(2/41)*l)/l)))/(l*l**(4/7)*l*l**3/l) assuming l is positive. l**(137/287) Simplify ((w*w/(((w*(w*w*w*w**6*w)/w*w)/w)/w)*w)/(w/w**(21/4)*w))**(-1/28) assuming w is positive. w**(11/112) Simplify ((((i**(-1/8)/i)/i)/i)/(i*i*i*i/i**(-2)*i*i)*(i/i**(-2/19))/i*(i**(3/7)/i)/i)**(-35) assuming i is positive. i**(66985/152) Simplify ((k/k**12)/k)**(-24/7)/((k**(-2/31)/k)/k**(6/11)) assuming k is positive. k**(102051/2387) Simplify ((u**9*u**(2/3))**10)**(-29) assuming u is positive. u**(-8410/3) Simplify ((s/(s/s**12)*(((s/(s/(s/(s*s/s**(-1)*s)*s)))/s)/s)/s)**(-7))**25 assuming s is positive. s**(-1225) Simplify (a**(2/29)/a**(-13))**(6/25) assuming a is positive. a**(2274/725) Simplify ((b**(1/4))**32)**(2/27) assuming b is positive. b**(16/27) Simplify (((m**(1/2)/m)/m*m)/(m/m**(-18)))/(m/m**(16/3)*m/((m/m**(12/11))/m)) assuming m is positive. m**(-1139/66) Simplify u**19/((u*u/(u*u**(-4/7)))/u)*((u**(-1/11)/u)/u)/u*u*u/(u/(u/u**(1/8))) assuming u is positive. u**(10603/616) Simplify l**4/(l*l**(-4/9))*(l**(2/5))**(-14) assuming l is positive. l**(-97/45) Simplify (r/r**(2/13))**(2/5)*(r*r**(-2/9))**(-39) assuming r is positive. r**(-5849/195) Simplify (b**(2/5))**(-5/14)*(b*(b*b**(2/25)*b)/b)/(((b**(-1/7)/b*b*b*b)/b)/b) assuming b is positive. b**(52/25) Simplify ((o**(-2/11))**(-1)*(o/o**2)/(o*o*o*o/o**(-2/13)*o))**30 assuming o is positive. o**(-25620/143) Simplify ((v/(v**10*v*v)*v)/((v*v/v**9)/v))/(v/v**(10/7)*v/(v/v**(8/3))) assuming v is positive. v**(-89/21) Simplify ((y**(-1)*(((y*y**(-4)*y)/y)/y)/y)/(y**(-1/2))**(3/22))**14 assuming y is positive. y**(-1827/22) Simplify ((r*r**11)/(r/(r*r*r/r**(-26)*r*r*r)))/(r*(r/r**15*r)/r)**(-32) assuming r is positive. r**(-373) Simplify (t**(-14)*t**(1/8))**50 assuming t is positive. t**(-2775/4) Simplify (t**(-1/37)*t*t/t**(-1/6))/(t*(((t/(t/t**(8/3)))/t)/t)/t*(t/((t*t**(-7)*t)/t))/t*t*t) assuming t is positive. t**(-483/74) Simplify (j**0)**42*(j/(j*j*(j*j**6/j)/j*j)*j)/j*(j/(j**12/j))/j assuming j is positive. j**(-18) Simplify (((w/(w/((w**(-13/3)/w)/w)*w))/w)/((w*(w*w/(w*w**(-4/7)))/w)/w)*w**(-1/9)/(w**(3/7)*w))**18 assuming w is positive. w**(-188) Simplify (y**(-3/2)/(y*y*y**7*y*y))/(y*y/y**8*(y*y**(1/29))/y) assuming y is positive. y**(-379/58) Simplify ((j*j/((j/(j/j**9))/j))/j)**(21/2)*j**(-1/6)*j**6 assuming j is positive. j**(-203/3) Simplify (q*q**2*q/q**27)**9 assuming q is positive. q**(-207) Simplify (c**7)**1*(c*c**(2/7))**(1/41) assuming c is positive. c**(2018/287) Simplify (v**3*v)/(v/(v*v/(v*v*v*v**(12/5)*v)*v))*(v**3)**(-30/11) assuming v is positive. v**(-472/55) Simplify (o*o**13/o)/(o**(1/4)/o)*((o*o**(-1/3))/o)/o*o/(o*o*o**16/o*o) assuming o is positive. o**(-55/12) Simplify ((z/(z**23/z))/z**9)/((z*z*z/((((z*z/(z*(z*z/(z/(z*z*z/z**8*z*z*z)))/z))/z)/z*z)/z)*z)/(z/(z/z**(-23)))) assuming z is positive. z**(-56) Simplify (p*p/p**(-1/3))**(-1/21)*((p*p**(-3))/p*p)/p*p*p**(-15) assuming p is positive. p**(-154/9) Simplify ((d/d**(-2/13))/d*d**(-5/7))/((d/d**(-7))/d**(-14)) assuming d is positive. d**(-2053/91) Simplify (n**(-12/7)/((n/((n/((n*n*n*n*n**(-2/5)*n)/n*n))/n))/n))/(n**(-2/15)*n*n**(-18/11)*n) assuming n is positive. n**(-7559/1155) Simplify (d*d**(5/2)*d)/d**21*((d**(-3/17)*d)/d)**(-37) assuming d is positive. d**(-339/34) Simplify ((((h**(1/6)/h)/h)/h*h)/(((h/(h*h*h/h**(-2)))/h)/h*h)*(h*h**(1/4)*h)**(-1/4))**(22/5) assuming h is positive. h**(275/24) Simplify (r*r**(-3/35)*r*r*r**35)/(r**(10/9))**(-10) assuming r is positive. r**(15443/315) Simplify ((p/(p*p**(1/4)))/p**(1/3))**(-21) assuming p is positive. p**(49/4) Simplify i/((i*i**(1/27)*i)/i)*i**(2/11)/i*(i*i**(-1)*i*i)**(-1/29) assuming i is positive. i**(-7960/8613) Simplify (b**1)**(-12)/(b**4)**3 assuming b is positive. b**(-24) Simplify (b/(b/b**(-20)))/b**(-1/28)*((b/((b*b*b*b**23)/b))/b)/(b*(b/b**(-2/27))/b*b*b*b) assuming b is positive. b**(-37073/756) Simplify (k/(k**(-23)*k*k))**43*k**(2/37)*k**(8/3)/k assuming k is positive. k**(105197/111) Simplify (q*q**0)**(-38)/((q*q**6*q)/((q*q/(q/q**(10/3)))/q)) assuming q is positive. q**(-128/3) Simplify ((d/(d*d*d*d*d**(7/6)*d)*d)/(d**(-10)/d))/(d*d**(-8/5)/d*d*d**(-4/9)) assuming d is positive. d**(709/90) Simplify ((a*a/a**(2/11)*a**(-5/3)/a)/(a**(2/13)*a*(a*a**(2/5))/a))**(-3/2) assuming a is positive. a**(5153/1430) Simplify ((y*y**31*y**(-9))**46)**(1/14) assuming y is positive. y**(529/7) Simplify u**(-3)*(u**(1/3)/u)/u*u*u**(-1/5)*u**(-4/13) assuming u is positive. u**(-814/195) Simplify (r/(r*r**4))**(-49)/(r**(-2/81)*r**(-2/3)) assuming r is positive. r**(15932/81) Simplify f**10*(f*f**(-10/3))/f*f**(2/7)/f**(-11) assuming f is positive. f**(377/21) Simplify (c**11/c**(1/2))/(c/c**(-12)*c*
{ "pile_set_name": "DM Mathematics" }
t y(j) = 20*j**3 - 24*j**2 + 3*j - 50. Let h(f) = 17*t(f) - 6*y(f). Let b be h(8). Which is bigger: b or 2? b Let b = -13 - -13. Which is smaller: b or -3/11? -3/11 Suppose -13*o - 77 = -77. Let j be (-3 + -1)/(26/(-3)). Which is bigger: j or o? j Suppose -j + 8 = 5*v + 30, -v + 130 = -3*j. Is j != -41? True Suppose -2*p - p = 0. Let t be (p - 1)/((-2)/2). Let d(m) = m + 2. Let w be d(0). Which is bigger: w or t? w Let r = -53 - -51. Which is bigger: -3/5 or r? -3/5 Let d = -10 - -6. Let g = d + 0. Is g less than -2? True Let f = 0.36 - -0.04. Let u = f + -0.3. Let c be ((-9)/(-42))/((-6)/(-8)). Which is greater: u or c? c Let i = -19 - -19.3. Are -1 and i equal? False Let x be (-122)/14 + 10/(-35). Which is greater: -10 or x? x Let c be 2/3 + 12/(-18). Suppose 5*d + 4 = -1, n - 3*d - 7 = c. Are n and 3 non-equal? True Let p be 0 - (-12)/4 - 5. Which is smaller: p or 0? p Let a be 2/3 - 26/(-6). Suppose 5*r + 0 - a = 0. Is 2 greater than r? True Let a = 6 - -4. Suppose 3*k = -2*k - a. Suppose 15 = -4*d + 3. Which is smaller: d or k? d Suppose 8*n - 81 = 3*n - 2*z, n + 4*z - 27 = 0. Which is smaller: n or 17? n Let o = 0 - -2. Let h = -5 + o. Let q = 0 - 0. Which is smaller: h or q? h Suppose -4*o + 120 = -0*o. Let s be 1*(2 - o/14). Is 1 smaller than s? False Let t = -0.4 + 0.4. Let q = 0 + t. Suppose -2*a - 3*a = 15. Which is smaller: a or q? a Let y(k) = -k**3 + 28*k**2 - 28*k + 8. Let r be y(27). Is r at least as big as -19? True Let u(m) = -m**2 + 1 + 0*m - 2*m + 0*m**2. Let x be u(1). Is -1 less than x? False Let y(r) = -r - 3. Let h be y(0). Let u be (5 + h + 1)/3. Is -1 smaller than u? True Let i be (-10)/25*(-10)/26. Which is smaller: i or -7? -7 Let h(i) = i**3 - i**2 - 40. Let k be h(0). Let b be (2/(-4))/((-6)/k). Which is bigger: b or -4? b Suppose -n = g - 2*n, 0 = 4*g - 2*n + 4. Let y be 1/g + 22/20. Let p = -0.2 + 0.3. Which is smaller: y or p? p Let i = 219 - 144. Let t be (-6)/10 + (-5)/i. Which is smaller: t or -2? -2 Let h(z) = -z - 6. Let y be h(-8). Is 2 at least y? True Let u = 667 + -1993/3. Let d = -24 - -14. Let g be 2/5 - 16/d. Is g > u? False Suppose -7 = j + 2*i - 4, 7 = 3*j - 2*i. Let r = 1 + 1. Is r < j? False Let d = -5012/2223 - -8/247. Let x = d - -118/45. Is -1 smaller than x? True Let m = 36.1 - 34. Let w = 0.06 + 1.94. Let s = m - w. Which is greater: s or -2? s Let k = -180 + 144. Is -37 less than or equal to k? True Suppose 12 = -6*i + 6. Is i at least as big as -17? True Let i be (0 + 0)/(25 + -27). Which is smaller: i or 2/361? i Let h be (1 + -2)*(2 + -3). Let v(g) = g + 11. Let t be v(-7). Let k = -4 + t. Is k < h? True Let x be (-4)/24*-4 - 3/18. Is x less than 13? True Let f be 8/6*(-9)/(-6). Let v = f + -5. Which is smaller: v or 0? v Let q be ((-27)/6)/((-8)/16). Is 3 at most q? True Let p = 27 - 14. Let f = 18 - p. Suppose 4*j + 27 = -2*b + 5*b, 3*b - 2*j = 21. Is f greater than or equal to b? True Let p be (4 + -4)*2/4. Let h be (-3 - (-5)/2)*p. Suppose 0 = 3*f - 4*f. Is h > f? False Suppose 2*i + 3*i - 25 = 0. Suppose 2*r + 0 = h + 6, 0 = 2*r + i*h + 18. Are r and 6/11 unequal? True Suppose -4*m - 3 = 5. Let p be 6 + -5 + 5/(-2). Is m at most p? True Let b = -28 - -6. Is -21 smaller than b? False Let r be (-1*10/(-4))/(8/16). Suppose -4*x + 4*d + 0*d + 32 = 0, 0 = -x + 2*d + 10. Which is smaller: r or x? r Suppose 16 = -2*h + 6. Let c = h + 9. Is -2/5 greater than c? False Let h be (1 - 0) + 9/139. Let k = h - 4661/9730. Let b = -3/10 + k. Is 1 at least as big as b? True Let s be 2/4*(-2)/(-4). Let y(d) = 2*d**2 + d. Let z be y(-2). Suppose z*o - 1 = 5*o. Which is smaller: s or o? s Suppose 7 = d + 2*f, -4*f = d + 1 - 0. Suppose -d = 5*q - 5. Let w = -150 + 149. Is w <= q? False Let r(f) = -f**3 + 9*f**2 - 8*f - 6. Suppose 0 = p - y - 12, 0*p - 32 = -2*p + 4*y. Let m be r(p). Let k be m + (3/(-3) - -3). Which is bigger: k or -3? -3 Let v(u) = -u**3 + 4*u**2 + 7*u - 1. Suppose 4*x - 2*b - 12 = 0, 2 = -2*x + b + 2*b. Let a be v(x). Let k be 4/12 - (-33)/a. Are 4 and k unequal? False Suppose m + 35 = -5*q - 4*m, -3*q - 2*m - 16 = 0. Suppose -y - 7 = 3*v, 3*v - 3 + 4 = 5*y. Is q < v? False Suppose 0 = -3*o - 2 + 11. Suppose 5*i - o*s - 8 = -4*s, -9 = -3*s. Is 4 at least as big as i? True Let p(o) = -o + 1. Let v be p(0). Let b be (-3 + 3)/(v - -1). Suppose b = -2*c - 10 - 4. Which is smaller: c or -8? -8 Let c = 13 + -8. Suppose -6*v - 2 = -4*v. Is v greater than c? False Let k(h) = h**3 - 6*h**2 - 7. Let x be k(6). Which is bigger: x or -8? x Let w = 1 + 5. Suppose 7 = 5*r + 5*a - 8, 5*r + 2*a = w. Is 0 greater than or equal to r? True Let i be 32/(-6) + (3 - 1). Let m = i - -23/6. Let u(k) = k + 4. Let f be u(-3). Which is greater: m or f? f Let p(c) = -c**3 + 6*c**2 + 3*c + 23. Let x be p(7). Which is greater: x or -28/5? x Let x = -4.1 - -13.1. Is 7 at least as big as x? False Let m(t) = -8*t**2 - 3*t - 2. Let f be m(-2). Let y be (-4)/(-6) - f/(-21). Are y and -10 unequal? True Suppose -3*i - i + 60 = 0. Are i and 14 non-equal? True Let o = -20.32 - -20. Let t = o + 0.3. Let f = -0.7 - -0.6. Which is smaller: t or f? f Let a be (-4)/(-4) - 18/(-4)*-2. Is -10 bigger than a? False Let a = 3/140 - -57/140. Let x be (6 - (-332)/(-56))*4. Is x > a? False Let d = 12 + -7. Let t be (-3)/2*4/(-3). Suppose 2*s + t = -s + y, y - 2 = d*s. Is 0 bigger than s? False Let r = -0.3 + 4.3. Let y = 8 - r. Let l = -1.8 - -2.8. Which is greater: y or l? y Let o(i) = -i**3 - 6*i**2 + 6*i - 8. Let z(d) = -d - 1. Let l be z(6). Let k be o(l). Let w be (-1 + 0)*k - 0. Is w <= -2/5? False Let c = -27 - -85/3. Let p be (2/2 + -1)/(-1). Which is greater: c or p? c Let k = -29/6 + 4759/984. Is 0 <= k? True Let z = -3 - -6. Suppose z*m - 7 = -19. Is m at most as big as 1? True Let h(p) = -p**3 + p**2 + 3*p + 3. Let g be h(3). Is g < -5? True Let c(d) = d**3 - 3*d**2 - d. Let p(g) = -g**2 - 9*g + 3. Let s = 14 + -23. Let l be p(s). Let w be c(l). Is -2 at least as big as w? True Let z = 26 - 51/2. Do z and -0.6 have the same value? False Let t = -65 + 44. Is t smaller than -22? False Let q be 8/30*5/(-6). Let f(z) = z**2 - 1. Let h(d) = -d**3 + 8*d**2 + 6*d - 4. Let j(s) = -3*f(s) + h(s). Let c be j(6). Do q and c have different values? True Let l(f) = 7*f**2 - 6*f - 5. Let q(o) = -o**2 + 1. Let k(b) = -l(b) - 6*q(b). Let g be k(6). Is 0 less than g? False Let n = -171.2 - -188. Let v = 0.8 - n. Is 1 bigger than v? True Let l be (86/34 + 1)*15/(-30). Does -1 = l? False Let r = -9 + 4. Is r > -5? False Let m be -16 + (3 - -1) + -3. Let h = -8 - -7.9. Is h != m? True Let q be (-14)/63 + 48/(-27). Does -13/6 = q? False Let g be (3 + -2)*(-6)/(-108). Is g at least as big as 0? True Let b = 5 + -5.04. Let s = -0.05 + b. Let r = s - 5.91. Is 1 < r? False Suppose 0 = -10*v + 14*v - 36. Which is greater: v or 3? v Suppose -1 = 4*r + 99. Let y = 74/3 + r. Are y and -14 equal? False Let p be (-2 - 0)*-41 + -1. Let d = -46 + p. Suppose 5*g + d = g + 3*i, g - 2*i + 15 = 0. Which is bigger: -6 or g? g Let c = 3 + -3. Is c equal to 1? False Let s be 0 + 0 + -3 + -6. Let m = s - -5. Is m < -4? False Let s = 1316/9 + -146. Let p(o) = o**3 - 3*o**2 - 4*o + 5. Let z be p(4). Suppose -z*f + 4*m + 4 = -3*f, 4*m = -4. Which is smaller: f or s? f Let u(s) = s - 1. Let h be u(-2). Let j be (-4)/6*-3 + h. Let r = j - 0. Which is bigger: 2/5 or r? 2/5 Let w = 3.92 - -0.08. Let i = -3.5 + w. Let g = i + -3.5. Are 0.1 and g non-equal? True Let k = -394/21 + 5584/273. Which is smaller: 2 or k? k Let q be 6/15 - (-13)/5. Suppose 2*z = 4*p - 84, q*p - z - 4 - 60 = 0. Suppose -3 = 5*i + p. Is i at most -6? False Suppose 0 = -27*l - 1007 - 1099. Is -78 != l? False Let k = 0.6 + 0. Let m = k - 2.6. Is m <= 1? True Let z = -1 + 7. Suppose 0 = 5*d + 2*l + 11, 3*l + 8 = -5*d - z. Is d != -2? True Let m = -0.15 + 8.15. Let b = m + -8. Which is smaller: -0.1 or b? -0.1 Let d = 3 - 3. Suppose d = 2*y - 3 - 7. Which is smaller: 7 or y? y Let o = 11 - 8. Is 0 less than or equal to o? True Let t = -13 - 53. Let l = t + 525/8. Let m be (-10)/6 - 2/(-3). Is m not equal to l? True Let f(b) = b - 2. Let o be f(-6). Which is greater: o or -9? o Let u be -3 - (-3)/(-39)*2797. Let k = u + 218. Which is greater: 0 or k? 0 Suppose -8 = -4*y + 4. Let c = y - 1. Let v =
{ "pile_set_name": "DM Mathematics" }
p = -0.07199 - 0.02801. Does m = p? False Let h(v) = 8*v + 7. Let m be h(-6). Let c = m + 57. Let z = 27 - c. Which is smaller: z or 10? 10 Suppose 70 = -4*j - 2*p, -4*p - 44 = 2*j - 0*p. Let a = j - 0. Let d = a + 4. Are d and -12 non-equal? False Suppose 2*q + 18 = -3*c, 20 = -27*q + 23*q - 2*c. Let g = -1343/726 - -2/121. Which is smaller: g or q? q Let p = 94 + -126. Let t = p + 25. Which is greater: -11/2 or t? -11/2 Let p(i) = -i**2 - 2*i + 2. Suppose 2*h + 20 = -4*v, -2*h + 4*v + 2 = -10. Let w be p(h). Which is bigger: w or 0.13? w Let t(i) = -i**3 + 5*i + 2. Suppose -3*x - 13 = 5*g, 15 = -8*g + 3*g - 5*x. Let m be t(g). Let d = 0.03 + -0.03. Are d and m unequal? False Suppose -5*m + 8*m - 3 = 0. Let w be (-3 + (m - -1))/((-2)/(-26)). Is 0 <= w? False Let j = -52 - -35. Let n be (j/(-51))/(1/6). Is 3 < n? False Let x = -203/129 - 4/43. Let s = -2.44 - -2.1. Let b = -0.34 - s. Which is smaller: b or x? x Let w = 714 + -694. Let u be 7*(2 - 16/(-28)). Are u and w nonequal? True Let z be (-15)/9*(3 + -6). Suppose -z*t = 5*o - 40, 2 + 2 = -2*o + 2*t. Suppose -25 = -o*f + 2. Does f = 1/3? False Let j = -15 - -10. Let h = -5 - j. Which is smaller: 9 or h? h Let l(z) = 21*z - 613. Let x be l(61). Are x and 667 unequal? True Suppose 17 = -5*d + 27. Suppose 3*z + d = -1. Is z at most as big as -1/47? True Let j = -2246817/26200 + -221/3144. Let s = -429/5 - j. Let y(r) = -r**3 + 1. Let o be y(0). Is s greater than or equal to o? False Let z(t) = -2*t**2 + 15*t - 17. Let p be z(6). Suppose -3*h - 19 = -4*o, -2*h - 3*o = -0*o - 10. Which is smaller: h or p? h Let r = 1259 + -3739/3. Let o = 7 - -7. Which is smaller: r or o? r Let m = -140 - -226. Which is smaller: 84 or m? 84 Suppose -y = 2*y + 132. Suppose -5*w - 8 = 2*v, 0 = -2*v - 27*w + 24*w. Let h be v/(-8) - 957/y. Which is bigger: h or 20? h Suppose -3*w = -2*j - 52, -j + 58 = 4*w + 2*j. Let h be (-1)/((-6)/(-16))*(-7 - -1). Is w at most as big as h? True Let s = 0 - 0.3. Let q = -0.2 + -0.8. Let g = q + 1.2. Is s greater than or equal to g? False Suppose -3*x = w - 4, 3*x + 2 = -4*w - 9. Suppose -1 = -z - x. Let c be (z/3)/(30/45). Is 3/31 less than c? False Let d = 647 + -7759/12. Let m = 1/12 - d. Suppose -6*b - b = -21. Is m equal to b? False Let a = 987 + -1019. Is -34 not equal to a? True Let t = -1430 + 1430.17. Which is smaller: t or -16? -16 Let i = -4673/1614735 - -1/6645. Is i bigger than 0? False Let j = -24.39 + 24.301. Does 2 = j? False Suppose 2*l - 6 = -a, -5*l + 9*a + 37 = 6*a. Which is bigger: 3 or l? l Let a be 5 + 48/(-9) - (-26)/6. Suppose 3*q - a*h = 18, q - 3*h + 5 = 16. Is q at least -8? True Let i = -1.83 - 0.17. Let l = i + 2. Which is greater: l or -0.1? l Let r = -2 + 12. Suppose 8 = r*y - 12. Which is smaller: y or 1? 1 Let g = 26 - 10. Let o = -16 + g. Which is smaller: -2/19 or o? -2/19 Suppose 0 = 4*i + 4, 5*i - 95 = 3*c - 25. Which is greater: -16 or c? -16 Let z be (-4 - 4 - -3)*(-8)/2. Let m be (-4)/(-10) + (-102)/5. Let o = z + m. Which is bigger: -1/12 or o? o Let l = -706 - -716.38. Let j = -0.38 + l. Is 2/5 greater than j? False Let a = -12.86 + -0.14. Let x = -13.1 - a. Is -0.5 bigger than x? False Let s = 2408 + -2039. Which is greater: s or 0.1? s Let c = 582 - 514. Which is smaller: 135/2 or c? 135/2 Let a = -2.18 + -0.02. Let q = -3.2 - a. Is -1/17 != q? True Let h = -3 + 3.1. Let y be (-455)/75 + 9/(-15). Let t = y - -55/6. Is h at most t? True Let y = -11 - -16. Suppose 5*g + y + 10 = 0. Let m be (-2)/(g - (-1 + 0)). Which is smaller: 2 or m? m Let l be (-17 + 10/5)/(1/(-8)). Which is smaller: l or 119? 119 Let j = 3.027 + -0.027. Are j and 0.26 equal? False Let b(i) = -24*i - 8. Let k be b(-4). Suppose -37 = 4*l - 2*p + 63, -4*p - k = 4*l. Is l > -24? False Suppose 3*g + 6 = 3*h, 4*g + 2*h - 9 = 7. Suppose 11*k = -3 - 8. Let c be 4/(-16) - (k + (-3)/4). Which is greater: g or c? g Suppose -5*h - 645 = 2*i, -4*h + 5*i + 12 = 495. Suppose 5*b + 508 + 152 = -5*a, -5*a - 276 = 2*b. Is b less than or equal to h? True Suppose 0 = 2*m - 2 + 6. Let n be (-3)/(12/16) - m. Let j = n - -2. Which is greater: j or 4/9? 4/9 Let d = 519 - 518. Let u = 0.6 - 0.75. Is d smaller than u? False Let g(f) = -f**3 - 10*f**2 - 9*f - 9. Let v be g(-9). Let s be v/(27/(-6)) + -3. Is 0 smaller than s? False Suppose -27 = 19*w + 296. Do -10 and w have different values? True Let n(u) be the second derivative of u**3/2 - 2*u**2 + 9*u. Let o be n(3). Suppose -d - o*m - 1 = 4, 2*d - m = 1. Which is smaller: d or -2/3? -2/3 Let l be (-4)/(-20) + (-18)/(-10). Suppose 0 = -3*c + l*c + 3. Suppose -c*r = -4*r + 5. Is r less than or equal to 27/7? False Let t = -113 - -111. Let i(x) = x**2 + 3*x - 1. Let d be i(-2). Is t at least d? True Let j = -119 + 2100. Is j > 1982? False Suppose r = 3*h + 14, 2 = -3*h + 8. Let c(d) = -d**3 - 4*d**2 - 5*d + 1. Let o be c(-4). Which is smaller: r or o? r Suppose 103*p - 376 - 242 = 0. Which is smaller: 46/7 or p? p Let x(h) = h**3 - 7*h**2 - 17*h - 6. Let i be x(9). Let d be (-6)/4 - (1 + -10 + 6). Which is bigger: d or i? i Let h be ((-314)/(-8))/(1 - 0). Which is greater: -1 or h? h Let z = -3 - -4. Suppose z = -b - 1. Let s = 38/99 + -10/9. Does b = s? False Let q be 14/(-4)*(-104)/546. Which is smaller: -234 or q? -234 Let k = -10 - -14. Suppose 2*j = -3*s + 21, s - 4 + 2 = j. Suppose 1 = j*d + 4. Which is bigger: k or d? k Let y(r) be the second derivative of -r**3/6 - r**2/2 + 6*r. Let c be y(0). Which is greater: c or -3/28? -3/28 Let y = -33 + 36. Suppose -4*t = -c + 377, 2*t = y*c - 4*c - 181. Which is bigger: -94 or t? t Suppose 0 = -4*g + 4*j + 4, g - 107*j - 21 = -111*j. Let u(s) = s**3 + 6*s**2 - 2*s - 3. Let c be u(-6). Which is smaller: c or g? g Let d(q) = 722*q**2 + 17*q - 18. Let s be d(1). Which is smaller: s or 719? 719 Let r be (5 + 452/(-92))*-3. Let z be ((-5 + 4)*2)/2. Does r = z? False Suppose 0 = 2*o + 4*p + 18, -7*o + 3*o = -5*p - 29. Suppose b + o = 2*k, 3*k + 4 + 7 = -b. Does -2 = k? True Let f be (-31 - 371)*((-4)/204 - 0). Does -1 = f? False Let n = -101/15 - -41/6. Suppose -g = -3*g + 4. Suppose 0 = 4*y - s, s - 18 = g*y - 4*s. Which is smaller: n or y? n Let v be (9 - 1 - 7)/(1/1). Which is smaller: v or -1/92? -1/92 Let s = -0.3 - 1.7. Let l = 4.4 + s. Which is greater: -1 or l? l Suppose -4*r + r - 6 = 0. Let u(h) = -6 - 2*h**3 + 5 - h - h - h**2 - 2*h**2. Let q be u(r). Is 7 less than or equal to q? True Let o = -718 + 719. Is 1 at most o? True Suppose 4*w - 2*i + 124 = -6*i, 0 = -w - 4*i - 37. Is -27 greater than w? True Suppose 6 = -2*y + 5*b, 0*y - b - 9 = 3*y. Suppose 1 = -3*q + 2*q. Does q = y? False Let s = 225 - 225. Which is greater: 2/129 or s? 2/129 Let s = -1032.173 + -0.827. Which is bigger: s or -2/7? -2/7 Suppose 42*u = 38*u + 88. Is 21 > u? False Let y = 1 + -1. Let u = 342 + -315.3. Let a = 27 - u. Is a <= y? False Suppose -3*z + 3*t = -2*z + 17, 0 = 4*z - t + 35. Let n be 2*3*z/(-12)*-1. Do -3 and n have different values? True Let a = 5 + -3. Let m(p) = p + 1. Let l be m(1). Are a and l non-equal? False Let k = -9.131 - -8.731. Let t = -463/2 + 227. Which is greater: t or k? k Let t = -10.3 - -12.3. Which is smaller: t or -97? -97 Let v(c) = c - 2. Let i be v(-5). Let a be 3/(i/2 - -2). Is a smaller than 0? True Let w = 3.3 + -27.3. Let g be 84/882 - 3/((-126)/10). Which is smaller: w or g? w Let x = 1 - 2. Let r = -0.5 + 0.45. Let i = r - -1.05. Is i >= x? True Let b = -212 - -157. Is b less than -55? False Let r = 78886/57 - 1384. Suppose -3*c + 3 = -3. Suppose 4*w - c*s + 4 = -0*s, 4*w + 6 = 3*s. Is r greater than or equal to w? False Suppose -9*z + 4*z + 40 = 0. Suppose 0 = 3*v + 3*d + 36, 7 = d + z. Which is greater: v or -12? v Let z = 35 - 12. Let p be z/(-115) - 4/5. Is p at least as big as 0.24? False Suppose 0 = 4*w + 3*b + 325 + 590, 4*b - 1136 = 5*w. Which is smaller: w or -227? w Let u be 12/(-20) + (-31)/(-85). Suppose -d = 3*o - o + 6, 0 = 3*d + 5*o + 15. Which is smaller: d or u? u Suppose 0 = -4*m - 0*m + 3*s + 12, -3 = -m - 3*s. Suppose m*d = 2*d. Let k be (-7)/(-6) + d/(-7). Which is smaller: 0 or k? 0 Let j be (-80)/(-200) + (-48)/70. Are 4/9 and j unequal? True Let a = -0.86 + 0.88. Let h = 106 + -111. Is h > a? False Let g = -1/470 - 169/94. Let h = -757 + 754. Wh
{ "pile_set_name": "DM Mathematics" }
the product of -0.5 and -1.8936? 0.9468 Work out 4.4 * 14397. 63346.8 What is -2 times 20125? -40250 Product of 0.1 and 308.6. 30.86 -0.4*3001.8 -1200.72 Work out -0.1 * 423519. -42351.9 -2 * 231776 -463552 1 times 1715.8 1715.8 -2.5327*2 -5.0654 13812*-0.061 -842.532 -21577 times -0.01 215.77 2688 times -0.01 -26.88 Work out 0.37 * -59.5. -22.015 Product of -317.24 and -0.5. 158.62 Work out -686 * -1.101. 755.286 Calculate -5*-1212. 6060 -0.5*-1086534 543267 0.08*6639 531.12 What is the product of 0.05495 and 57? 3.13215 Product of -518 and -1.1. 569.8 4 * -5442 -21768 What is the product of -16127 and 2? -32254 0.1 times 0.0023266 0.00023266 Product of 0.612 and 0.6. 0.3672 0.777593 * 0.1 0.0777593 -69900 * 0 0 -0.2*87436.6 -17487.32 What is the product of 4949 and 19? 94031 0.4 times -36641 -14656.4 -41*-1426.12 58470.92 Multiply -1202 and 1110. -1334220 -0.04 times 4976 -199.04 Product of 0 and 19.994. 0 Product of 1 and -2.359. -2.359 Product of -29906 and -0.3. 8971.8 Multiply 5.079 and 1.9. 9.6501 Calculate 0.5*1.65004. 0.82502 What is the product of 1 and -8545.62? -8545.62 What is the product of 25.3 and -0.025? -0.6325 0.6418 * -0.4 -0.25672 What is the product of 85 and -0.0434? -3.689 What is the product of -142 and 0.0177? -2.5134 What is the product of 1 and 140552? 140552 2.1122*-1 -2.1122 10384 times 0.084 872.256 Product of 991 and 2.82. 2794.62 0.2 times 176531 35306.2 -6.8 times 30094 -204639.2 What is -348992 times 0.04? -13959.68 What is the product of 0.3 and 4589? 1376.7 Product of -14887 and 1. -14887 What is 0.01957 times -1.02? -0.0199614 8312 times 3 24936 Product of -97 and -16. 1552 -0.4 * 5.127 -2.0508 Work out 0.1 * -2049. -204.9 -0.6 * -1123 673.8 12 * -0.80484 -9.65808 Multiply 0.4274 and 0.4. 0.17096 Product of 8994 and 1.3. 11692.2 Calculate -4391*-3.69. 16202.79 What is -0.21 times 9355? -1964.55 Work out 6136869 * -2. -12273738 -24 * -0.242 5.808 What is the product of 3517 and -0.18? -633.06 Calculate -1*282639. -282639 -2504*-390 976560 What is the product of -0.4 and 8689? -3475.6 Calculate -120.5*-4.3. 518.15 307986 * 0.3 92395.8 21 * -0.4069 -8.5449 -1976*-0.06 118.56 Multiply 29 and 0.0191. 0.5539 Product of 54 and -269. -14526 What is -26860.63 times -0.1? 2686.063 Product of -236243 and 14. -3307402 -1 times 776 -776 0.3*-22.857 -6.8571 57 * -74 -4218 1 times 120.71 120.71 Work out -1081 * 85.1. -91993.1 What is 140 times -867? -121380 -0.6 times -58.856 35.3136 Calculate -2*-0.5398. 1.0796 Product of -1285 and 429. -551265 Multiply 0.37 and -364.21. -134.7577 Work out 44281 * 23. 1018463 Multiply -15.487 and 1. -15.487 Work out -0.05773774 * -0.4. 0.023095096 -58662*0.19 -11145.78 -543*-4.5 2443.5 29514*-0.25 -7378.5 -68100 times 0.031 -2111.1 -207*21.4 -4429.8 -1124 times 1.3 -1461.2 Multiply 328 and 609. 199752 -0.48*-0.046 0.02208 741*0.085 62.985 -191 * 8.5 -1623.5 What is the product of -0.4 and 0.80693? -0.322772 Product of 0.00507 and 0.01. 0.0000507 Multiply -52 and 5889. -306228 -0.370713 times -0.2 0.0741426 -47 times 116.63 -5481.61 -0.077295*0.1 -0.0077295 -3308 times -0.22 727.76 -122503*-0.17 20825.51 Multiply -8.29798 and -2. 16.59596 -99.235 * -4 396.94 What is 143289 times 2? 286578 4*-211121 -844484 Work out 13637 * 0.3. 4091.1 What is 449 times -6650? -2985850 What is 7008.7 times 0.2? 1401.74 What is the product of -1029416 and 1? -1029416 Work out 4 * -0.025116. -0.100464 What is the product of -0.1 and 51494? -5149.4 Calculate -0.2*-1293032. 258606.4 Multiply 9 and -0.3046. -2.7414 Multiply -8330.4 and 0.2. -1666.08 What is the product of 0.093 and 3.979? 0.370047 Product of 1 and -1.89218. -1.89218 Calculate -0.014*-4.6138. 0.0645932 What is the product of 51049 and -0.3? -15314.7 What is the product of 0.9 and 181204? 163083.6 Work out -35152 * -0.81. 28473.12 Product of 0.02 and -858597. -17171.94 0.41 * 0.9 0.369 -0.16 times -22870 3659.2 3793.6*11 41729.6 -65 times -228.3 14839.5 Calculate 0.9*-422. -379.8 Multiply 21.2 and -1083.1. -22961.72 -2529*-35 88515 -0.01 * -28892 288.92 Multiply 2.3 and 4232. 9733.6 What is the product of 2.7 and -354? -955.8 What is -2.68 times -220? 589.6 Calculate -2*0.505571. -1.011142 -4 times 0.0108 -0.0432 -1 * -2621 2621 Multiply -1 and -11932. 11932 Work out -0.1 * 11467. -1146.7 Calculate -0.03*1562063. -46861.89 34052 times -0.02 -681.04 -18 * 1347 -24246 What is 984 times -0.05? -49.2 1022 times 0.19 194.18 Multiply 130 and -0.57. -74.1 Work out 5 * -24.155. -120.775 What is the product of -954.169 and 0.5? -477.0845 211 times -15475 -3265225 Work out -121.64 * -149. 18124.36 What is the product of -1.95391 and 18? -35.17038 Calculate 0.6*37.77. 22.662 -8.6*8369 -71973.4 What is 12 times 2.076? 24.912 1476834 * -4 -5907336 Multiply -2529 and 4.9. -12392.1 Work out -347.31 * -25. 8682.75 Product of -18290 and -0.2. 3658 What is the product of -0.2 and -0.70938? 0.141876 2.2 times -8575 -18865 0.5529 * -48.7 -26.92623 Multiply 19529 and 0.09. 1757.61 -2.21 times 1964 -4340.44 -1.31 times 6261 -8201.91 What is 3208 times 2? 6416 What is the product of 32.6 and 83? 2705.8 0.03 times 0.03641 0.0010923 -766 times 0.0136 -10.4176 Multiply 9 and 18922.6. 170303.4 Product of -3 and 856.88. -2570.64 Multiply -3 and 1895. -5685 Work out -37123 * 1. -37123 -17484*-41 716844 Calculate 0.8*-551976. -441580.8 Multiply 4 and 32144. 128576 Product of -6169 and -0.19. 1172.11 What is 577 times -1.44? -830.88 2 * 17996 35992 -0.1275 * -0.08 0.0102 Calculate 0.08618*0.2. 0.017236 Multiply -44468.8 and -0.5. 22234.4 What is the product of -49.02 and 0.19? -9.3138 What is -9 times 432.2? -3889.8 What is the product of 2 and -0.252955? -0.50591 Work out -0.1 * -9311. 931.1 What is -0.04 times -106.6? 4.264 7.7 times 2036 15677.2 What is the product of -0.5 and -0.018031? 0.0090155 Product of -1602322 and 4. -6409288 What is 7.53 times -15? -112.95 What is the product of -4547 and -47? 213709 Calculate 0.1*83268. 8326.8 What is the product of -1289127 and 0.2? -257825.4 -1.5 times -0.218894 0.328341 What is -11 times -5961? 65571 What is the product of 3 and 80668? 242004 What is -97838 times -0.3? 29351.4 -81 times 82.3 -6666.3 Calculate 2*-5095.2. -10190.4 What is 0 times -1811.9? 0 What is the product of -1 and -8789.5? 8789.5 0.777138 * -4 -3.108552 Calculate -1939615*-4. 7758460 -3.792 times -0.17 0.64464 What is -6.4 times -125.49? 803.136 -813 * -56 45528 Product of 0.1715 and 619. 106.1585 Product of -1639151 and 0.5. -819575.5 -0.5 times 17.6537 -8.82685 -10912*-99 1080288 What is -2 times 3298? -6596 Calculate 5.04*0.039. 0.19656 Multiply -2.91 and 0.083. -0.24153 Product of -1732.52 and -0.6. 1039.512 Calculate 4136*2.35. 9719.6 What is -334 times -70? 23380 Multiply 0.54 and -0.405. -0.2187 Multiply -27 and 24.744. -668.088 Work out -0.785 * -1640. 1287.4 -2510.47 times -6 15062.82 What is the product of 20.1 and 725? 14572.5 -1.2 times -433010 519612 -18981 times 0 0 Work out 1.05324 * -0.2. -0.210648 Multiply 4.486 and -11. -49.346 -2.6443*-0.1 0.26443 Product of -0.062 and -3312. 205.344 Calculate 15.893*0.88. 13.98584 What is the product of 23645 and -1.4? -33103 Work out -19 * -2502. 47538 What is 0.09907 times 4? 0.39628 Calculate 235*-1189. -279415 -0.003*-111496 334.488 Product of -4 and 2146. -8584 Calculate -466*-273.7. 127544.2 3013 * -51.4 -154868.2 What is 0.0321 times -304? -9.7584 2964 * 12 35568 0.1*-1244 -124.4 15 times 9235 138525 1000*-26.36 -26360 -0.1 times 22468 -2246.8 -0.342905 * -4 1.37162 Multiply 0.94743 and 28. 26.52804 Work out 0.075 * 155. 11.625 What is -16 times -1.672? 26.752 What is 38 times -32678? -1241764 Product of -1 and 0.116046. -0.116046 What is the product of 4154 and 34.2? 142066.8 -0.2 times 14232 -2846.4 Calculate 0.2*0.07758. 0.015516 Work out -56 * -0.028444. 1.592864 What is the product of -0.135 and 47? -6.345 Calculate 95.396*-3. -286.188 -316 * -21.41 6765.56 Work out 1378.3386 * 0.4. 551.33544 -3 * -2791 8373 -0.9 times -46.8 42.12 9.8 * 0.233 2.2834 What is the product of -0.5 and 30874? -15437 39329*5 196645 Product of 5 and -350290. -1751450 What is the product of -829 and 0.302? -250.358 -1104*0.02 -22.08 3 * 16209 48627 What is 497.49 times -4? -1989.96 Work out 787767 * -3. -236330
{ "pile_set_name": "DM Mathematics" }
List the prime factors of b(l). 2, 5, 7 Suppose -2*l - 63 - 13 = 0. Let n = 120 + l. What are the prime factors of n? 2, 41 Suppose 0 = 4*o + 2 - 90. Let h = o + -42. What are the prime factors of (-355)/h - 2/(-8)? 2, 3 List the prime factors of 18/(-6) + 2 - -4241. 2, 5, 53 Let u(p) = 15*p + 9*p + 5 - 44*p. What are the prime factors of u(-3)? 5, 13 Let s = -12 + 24. Let f = 42 + 6. List the prime factors of 2/s + 1864/f. 3, 13 Let r = 17 + -7. Suppose -5*f - 155 = -r*f. What are the prime factors of f? 31 Suppose 4*r - 2*g + 6*g - 1344 = 0, 3*r - 1000 = -5*g. List the prime factors of r. 2, 5, 17 Let g = 4702 - 3034. List the prime factors of g. 2, 3, 139 Let v(s) be the first derivative of 2*s**3/3 - 7*s**2/2 + 4*s - 23. What are the prime factors of v(5)? 19 Let l be (9/(-2))/((-3)/(-4)). Suppose -6*y = -4*o - 4*y + 26, 3*o - 16 = -2*y. List the prime factors of ((-272)/l)/(o/9). 2, 17 Let v(o) = -o**2 + 220. Let c be v(0). Let r be c/6*(-18)/15. Let y = r + 78. List the prime factors of y. 2, 17 What are the prime factors of ((-2)/(1 - -1))/((-11)/8987)? 19, 43 List the prime factors of (351/(-81))/(1/(-129)). 13, 43 Let n(t) = t - 9. Let u be n(-7). Let q = -9 - u. Let d = q + 16. What are the prime factors of d? 23 Let h(d) be the third derivative of d**6/120 - 11*d**5/60 - 7*d**4/24 - 8*d**3/3 + 5*d**2. What are the prime factors of h(12)? 2, 11 Let s(g) = 3*g**3 - 4*g**2 - 2*g + 4. List the prime factors of s(3). 43 Suppose -3*g - 2*g = 0. Let o(w) = w**3 + 5. Let a be o(g). Suppose -2*c + 31 = -a. What are the prime factors of c? 2, 3 Let x(s) = 630*s + 372. What are the prime factors of x(6)? 2, 3, 173 Let h = -18 - -15. Let j(a) = -8*a - 5. What are the prime factors of j(h)? 19 Let u = 23 + -24. List the prime factors of 145/2 + u/(-2). 73 Let j(o) = 28*o**2 - 6*o - 8. What are the prime factors of j(-3)? 2, 131 Let l(n) = 6*n**3 + 3*n - 2. Let t be l(3). Suppose -5*b - d - d + 823 = 0, -b + 4*d = -t. Let q = -96 + b. List the prime factors of q. 3, 23 Suppose h - 5*q + 23 = 0, -4*q + 0*q - 32 = 2*h. Let y be 4/h - (-12)/54. Suppose -3*t + 3*p - 2 = -5, -p + 4 = y. What are the prime factors of t? 5 Let q(s) = -s + 13. Let u be q(11). Let f be (-5 + 4)*(4 - u). List the prime factors of f/((-3 - 0)/33). 2, 11 List the prime factors of ((-6)/12)/((-1)/1498). 7, 107 Let b(u) = 3*u**2 + 14*u + 8. Suppose 0 = q - 3*q + 60. Suppose -7*d + 2*d = q. List the prime factors of b(d). 2 Suppose 2*o = -o + 6. Suppose 3*z = -o*z. Suppose z = 2*f - 31 - 9. List the prime factors of f. 2, 5 Let v = 61 + -21. Suppose -5*s + 3*s = v. Let u = -7 - s. List the prime factors of u. 13 List the prime factors of 400/4 + 15/(-3). 5, 19 Let h(z) = -4*z - 18. Let i be h(-18). Let m = i - -6. What are the prime factors of m? 2, 3, 5 List the prime factors of 13226/17 - -3*4/3. 2, 17, 23 Let y be ((-1)/2)/(1/(-4)). Suppose -y*d - 3*p = 2*p - 187, -5*d - 3*p + 496 = 0. What are the prime factors of d? 101 Let x(r) = 2*r - 21. Let u be x(9). Let h = -2 - u. List the prime factors of -11*h*(-4 - -2). 2, 11 Let o = 38 + -34. What are the prime factors of o/(8/2 + -2)? 2 Let r(b) = -23*b - 11. Suppose 0 = -4*l - 30 + 10. What are the prime factors of r(l)? 2, 13 Suppose -4*v - 3*f + 2583 = 0, -2*f = -18 + 24. List the prime factors of v. 2, 3 Suppose -4*q = -16, -2*q + 0 = -5*v + 2. Suppose -6*n + 5*n = v*t - 513, 1282 = 5*t + 3*n. List the prime factors of t. 257 Suppose 0 = 2*l - 3*g - 1035, -5*l + 12*g - 9*g = -2565. List the prime factors of l. 2, 3, 5, 17 Let z(x) = -x**2 + 75*x + 119. List the prime factors of z(33). 5, 7, 43 Suppose 3*h + 2*n - 6*n - 827 = 0, -n = 5*h - 1340. List the prime factors of h. 269 Let h(m) = -6 - 6*m**2 + 5*m**2 + 0 - m**3 - 3*m + 2*m**2. What are the prime factors of h(-3)? 3, 13 Let x = 194 + 122. Suppose 2*n + 309 + 343 = 4*b, -2*b + x = 4*n. What are the prime factors of b? 2, 3 Let y(b) = -141*b + 736. List the prime factors of y(-8). 2, 233 Let f = 84 + -59. Suppose g + 1 = 5*h, 3*g + f = -3*h + 4. List the prime factors of (-150)/g + 0/1. 5 Let t be (879 - -1) + -2 + (5 - 3). Suppose g - t = -4*g. List the prime factors of g. 2, 11 What are the prime factors of (-1896)/(3*((-85)/(-15) - 6))? 2, 3, 79 Suppose 5*f - 4981 = 3*g, -2011 = 13*f - 15*f - 5*g. List the prime factors of f. 2, 499 Let i be 1/(-2)*4*-5. What are the prime factors of (-594)/(-10) - (-6)/i? 2, 3, 5 Suppose -2*s + 1429 = z, 0*s + 3*z = s - 732. List the prime factors of s. 3, 239 List the prime factors of (-11)/55 - 1*(-11733)/15. 2, 17, 23 What are the prime factors of 3/(9/15) - (-1 - 456)? 2, 3, 7, 11 Let u = 89 + -39. List the prime factors of u*1*(-1 - 30/(-12)). 3, 5 Suppose -86 = 3*q - l, 3*l + 0 + 3 = 0. Let x = 51 + q. What are the prime factors of x? 2, 11 What are the prime factors of (22 - 51)*(-49)/1? 7, 29 Suppose 2*t = -t + 3*s + 588, -3*s + 576 = 3*t. Let m = t - 81. What are the prime factors of m? 113 Let n(s) = -86*s - 12. What are the prime factors of n(-10)? 2, 53 Let j = -13 + 234. List the prime factors of j. 13, 17 Let h(s) = s**3 + 8*s**2 - 5. Let b be h(-8). Let r(i) = -17*i + 3. List the prime factors of r(b). 2, 11 What are the prime factors of (8550/12)/(-5)*-2? 3, 5, 19 Let l be (-2)/7 + 648/14. Suppose 0 = q - l - 77. What are the prime factors of q? 3, 41 Suppose -2626 = -14*c + c. What are the prime factors of c? 2, 101 Let q = -4 + 9. List the prime factors of 1974/105 - 4/q. 2, 3 Let h be -2 + 80/1 + -4. Suppose 0 = -2*b + 86 + h. List the prime factors of b. 2, 5 Let f(s) = 90*s - 269. What are the prime factors of f(6)? 271 Suppose 2*c + c + 0*c = 0. Suppose 53*q - 49*q - 16 = c. List the prime factors of q. 2 List the prime factors of 11 + -10 + 1 + (11 - 2). 11 Suppose -12 = -5*y - 5*o + 8, 0 = -3*y + o - 4. Suppose y = -w + 6*w. What are the prime factors of 3 + (7 - w/1)? 2, 5 Let w(q) = q**3 + 4*q**2 + q + 2. Let j be w(-4). Let r = -15 + 12. What are the prime factors of j/(2/r) - -6? 3 Let i be (-2)/2 - (-18 - -14). Suppose -4*t + 152 = 3*y, -i*t + 22 = 7. Suppose 3*v = -5*p + y, -2*p = 2*v + 3*v - 29. What are the prime factors of p? 7 Suppose -3*u + 4*t + 3 = 0, 5*t = 2*t. Let b(y) = 34*y - 3. What are the prime factors of b(u)? 31 Suppose 0 = -6*g + g + 800. Suppose -g = -4*p - 3*a - 42, -4*p - 4*a + 120 = 0. Suppose -3*h + p + 28 = n, 2*h - 38 = -n. What are the prime factors of h? 2, 3 Let l be 2/7 - 8495/(-35). Suppose 14*f - 17*f = -l. List the prime factors of f. 3 What are the prime factors of (13 - 17) + (-3 - (-3 + -566))? 2, 281 Let u = 144 + 313. List the prime factors of u. 457 List the prime factors of (-2 + (0 - -449))*(-2)/(-2). 3, 149 Let p be (1/3)/((-3)/(-54)). Suppose -p*v + 140 = -2*v. Let w = 56 - v. What are the prime factors of w? 3, 7 Let a = 0 + -4. Let k be 2/a*2 - -11. Suppose 0 = -5*x + 10 + k. What are the prime factors of x? 2 Suppose -2*m - 2*o + 0*o + 282 = 0, -2*m + 4*o = -312. What are the prime factors of m? 2, 73 List the prime factors of (23571/(-108))/((-6)/80). 2, 3, 5, 97 Suppose -25*l - 100 = -2325. What are the prime factors of l? 89 Let g be (-11230)/(-90) - (-4)/18. Let n be (-160)/76 - (-8)/76. List the prime factors of (16/(-20))/(n/g). 2, 5 Let k(a) be the third derivative of 11*a**4/24 - 2*a**3 + 2*a**2. List the prime factors of k(8). 2, 19 Suppose 3*p = 3*j - 20 - 7, p = 1. Suppose -r + 1408 = j*r. What are the prime factors of r? 2 Let x(v) = v**2 + 3*v - 9. Suppose 0*y = 4*y - 4. Suppose 5*k - 3*d = -20, -2*d + y - 4 = -k. List the prime factors of x(k). 19 Suppose 2*q + 5*d = -1, 2*d + 5 = -3*d. Suppose 0 = 8*g - q*g - 702. List the prime factors of g. 3, 13 Suppose 396 - 6302 = -2*n + 4*a, -3*a + 14713 = 5*n. List the prime factors of n. 5, 19, 31 Suppose 12*u = 105 + 1335. Let f = 114 + u. List the prime factors of f. 2, 3, 13 Let m(i) = 25*i**3 - 3 + 0*i**3 - i**2 + 6 - 6*i + 3*i. What are the prime factors of m(1)? 2, 3 Suppose 8*l + 2 = 7*l. What are the prime factors of (-188)/(-3) - (l - (-5)/3)? 3, 7 Suppose -3143 = -10*d + 3917. What are the prime factors of d? 2, 353 Suppose o - 2 = 0, 0 = -2*g - 6*o + o + 6. Let x = -17 + g. Let h = 32 + x. What are the prime factors of h? 13 Let f(k) = 3*k**2 + 3*k. Let u be f(-2). Let t be 5 - u - 36/(
{ "pile_set_name": "DM Mathematics" }
hundred thousand. -55000000 Let x be 3/((-27)/(-3345)) - (-6)/18. Suppose -4*v - 220 = v - 4*o, -4*o = -20. Let y = v + x. What is y rounded to the nearest 100? 300 Let g = -241.9263 - -242. Let s = g + -0.059. What is s rounded to 3 decimal places? 0.015 Let u(x) = 4275*x**3 - 10*x**2 + 16*x - 6. Let v be u(6). Let y = v - 544885. Suppose -18*o + 269755 = -y. Round o to the nearest ten thousand. 40000 Let y = 3.654 + -3.65419544. What is y rounded to 5 dps? -0.0002 Suppose 21*v - 9*v - 11072904 = 0. Suppose -v = -11*r + 3818258. Round r to the nearest 100000. 400000 Let o = 199407 + -72606. Let m = -178801 + o. Let u be m/2 - (-5)/10*0. What is u rounded to the nearest ten thousand? -30000 Let h(y) = -7*y**2 - 2*y - 7. Let c(v) = -30*v**2 - 9*v - 27. Let w(j) = 2*c(j) - 9*h(j). Let a be w(-4). What is a rounded to the nearest 10? 60 Suppose -10*t = -8*t + 3*u - 4981843, 0 = -4*t - 3*u + 9963695. Let o = t - 5520926. Round o to the nearest one hundred thousand. -3000000 Let u = 5.53 + 0.67. Let k = u + -12.6. Let g = k - -11.3. Round g to the nearest integer. 5 Let o be -105146995*3/(-270) + (-7)/(-126). What is o rounded to the nearest 100000? 1200000 Let t = 125.699984955 + -125.7. What is t rounded to six dps? -0.000015 Let y = -30825 - -17483. Round y to the nearest 100. -13300 Let x = -11429.3007 + 11953.41. Let t = x - 488.10913. Let c = 36 - t. What is c rounded to 4 dps? -0.0002 Let f = 8.412 + -8.4207746. Round f to four decimal places. -0.0088 Let g(n) = -2*n + 10. Let t be g(-3). Suppose 14 = 17*a - t*a. Suppose 0 = 11*y - a*y + 28500000. Round y to the nearest 1000000. 10000000 Let x = -437007 - -71463. Let k = x + 905544. What is k rounded to the nearest one million? 1000000 Let r = -40014260020 + 40014260882.00000601. Let f = r - 862. Round f to 6 decimal places. 0.000006 Let x = -174.42 + 171.6. What is x rounded to the nearest integer? -3 Let q = 1.0712 - 1.15. Let u = q - 3.5912. Round u to the nearest integer. -4 Let t = 5875 - 5874.986695. Round t to 4 decimal places. 0.0133 Let w be (1*-3)/((-10)/10). Suppose 0 = -w*b + 2*b + 29. Let x = 295 - b. Round x to the nearest 100. 300 Let h = -36 - 4. Let m = 7151092 - 7151051.9999994. Let f = m + h. What is f rounded to seven decimal places? 0.0000006 Let f be (-72)/(3 + (-6)/4)*2944500/(-18). Round f to the nearest one million. 8000000 Let c(j) be the first derivative of -375*j**2/2 - 2*j - 19. Let q = 7 + -9. Let b be c(q). What is b rounded to the nearest one hundred? 700 Let h = -4196.732 + 4271. Let f = 0.62 - 74.62. Let m = f + h. Round m to 2 decimal places. 0.27 Let g = -211 + 210.953. Let k = -0.032 + g. What is k rounded to 3 decimal places? -0.079 Let l = -13713624.00306 + 13713899. Let o = 275 - l. Round o to 3 dps. 0.003 Let o = -0.7 + -0.6. Let w = -43106654.69999995 + 43106656. Let u = o + w. What is u rounded to seven dps? 0.0000001 Let x = 48038.206 - 47656. Let n = 382 - x. What is n rounded to 2 dps? -0.21 Let i = 78 + -85. Let a be -2 + 5 + i/(14/(-16)). Let f be 41000001/(-2) - ((-11)/2)/a. Round f to the nearest one million. -21000000 Let t(n) = -n**3 + 10*n**2 - 17*n + 15. Let f be t(8). Let i be (-103 - f/(7/(-3)))*-8020. What is i rounded to the nearest 10000? 800000 Let m = 25020.9833 + -25022. Let c = m + -0.0483. What is c rounded to 1 decimal place? -1.1 Let o(c) = -c**3 + 7*c**2 + 9*c - 10. Let k be o(8). Let x be (2/(-4))/(k/36). Suppose 0 = -16*p + x*p + 112. Round p to the nearest ten. 20 Suppose -u + 6*t = 9*t + 356971, 3*u + 5*t = -1070925. What is u rounded to the nearest ten thousand? -360000 Let g = 0.102972 - 0.103013943. What is g rounded to seven dps? -0.0000419 Let g(y) = 915886*y + 1152232*y + 8 + 911890*y. Let k be g(-1). Round k to the nearest one hundred thousand. -3000000 Let o = -1508694 + 1508796.27893. Let k = o + -123.2789275. Let h = k + 21. Round h to six dps. 0.000003 Let j = -171.1633609 + 171.156. What is j rounded to four decimal places? -0.0074 Suppose -2776001 = 8*z - 21856001. Suppose 4*b = -5*b + z. What is b rounded to the nearest ten thousand? 270000 Suppose -18*v - 6464 = 67930. Let s = v - -2473. Round s to the nearest one hundred. -1700 Let a = 5.7075 + -0.7043. Let c = -5.001 - -0.001. Let i = a + c. Round i to 3 decimal places. 0.003 Suppose 8282745 + 580919 + 8861816 = 166*x. What is x rounded to the nearest one thousand? 107000 Let g = 21007.0114755 + -21007. Round g to 4 decimal places. 0.0115 Let k = -612 - -1210. Let t = -597.731 + k. Let v = 0.147 - t. Round v to two decimal places. -0.12 Let l = -11310.00003976 + 11310. What is l rounded to six dps? -0.00004 Let u = 26612.763 - 26626. Round u to one dp. -13.2 Let i = -992.31 - -1043. Let g = 51 - i. Let f = g - 7.51. What is f rounded to zero dps? -7 Let u = -10657 - -10740.146. Let s = -83.3 + u. Round s to 1 decimal place. -0.2 Let j = 19.94 + -114.04. Let q = j + 94.1000511. What is q rounded to 6 dps? 0.000051 Suppose -3 = 3*z, -4*m + 5*z + 83 = -m. Let a be 28903 - 13/m*1*6. Round a to the nearest one thousand. 29000 Let j = -214.9955 - 0.0045. Let b = -214.999588 - j. What is b rounded to 5 decimal places? 0.00041 Let x = 1.36 - -650.64. Let r = -132514170 + 132513517.99391. Let c = r + x. Round c to three decimal places. -0.006 Let d = -0.25 - -2.59. Let x = -9.96 - d. What is x rounded to the nearest ten? -10 Suppose -4*p + 5984 = -9164. Let q = 9607 - p. Round q to the nearest 1000. 6000 Let b = 99 - 155. Let z = 94 + b. Let q = 37.99999985 - z. What is q rounded to seven dps? -0.0000002 Let g be (32/(-6))/4*-929850. Let u = g + -877385. Suppose -4*f - u = -5*t, -3*f + 6*f + t = -271797. Round f to the nearest 10000. -90000 Let d = 731.014224 - 731. Round d to 3 dps. 0.014 Let u = 122.1202455 + -122.12. What is u rounded to five dps? 0.00025 Let h = -16695.9995506 + 16696. Round h to three dps. 0 Let l = 33526 - 33526.0016993. What is l rounded to 4 dps? -0.0017 Suppose -2*p = -p + 2*v + 8712000, -3*v = 2*p + 17424000. What is p rounded to the nearest 1000000? -9000000 Let j be ((-32709)/(-15))/(5/25). Suppose 2*y + 1181 + j = 0. What is y rounded to the nearest 1000? -6000 Let c(q) = -291*q - 1346. Let h be c(33). Round h to the nearest 100. -10900 Let w be (-2)/6*11/(33/(-3637233)). Let r = -359863 - w. What is r rounded to the nearest one hundred thousand? -800000 Let q = 0.58828 - 0.5882701004. Round q to seven dps. 0.0000099 Let z = -37459 + 37459.50379. What is z rounded to 1 decimal place? 0.5 Suppose 3*m + 10 = 1, 2*m = -2*j - 120. Let n be j/2*7/((-42)/40). Suppose -182 = -0*b - 2*b - 3*i, -i = -2*b + n. What is b rounded to the nearest 10? 90 Let a = -94244128 - -158684128. Round a to the nearest one million. 64000000 Let u = 150069.919551 + -150070. Round u to 2 dps. -0.08 Let j = -210782 - -210811.9538. Let t = 30 - j. Round t to two dps. 0.05 Let k(l) = -1892*l + 28. Let z(y) = y - 16. Let m be z(16). Let p be (-3)/(m + (-2)/6). Let t be k(p). Round t to the nearest 1000. -17000 Let p = 19.351576 + -19.35. What is p rounded to four dps? 0.0016 Let w = -85.9372906 + 85.93. Round w to three dps. -0.007 Let v be -4 + (0 - -3)*1. Let i(m) = -174*m**3 - m**2 - m. Let q be i(v). Let f = -271 + q. Round f to the nearest ten. -100 Let y = 4053 - 4224.44. What is y rounded to the nearest 10? -170 Let h = 116840.814093 - 116841. Let s = h - -0.1849. Round s to 4 dps. -0.001 Let o = 0.3941 - 0.0961. Let f = 23.848 + -24. Let u = o + f. What is u rounded to two dps? 0.15 Let w = -12 - -11.6. Let y = w - -0.82. Let j = 0.4116 - y. Round j to 3 dps. -0.008 Let n = -0.0793 - 0.0898. Let z = n + -141.9309. What is z rounded to the nearest ten? -140 Let w = 0.2938 + 1.6237. What is w rounded to two decimal places? 1.92 Let r = -562102016 - -562102022.49999694. Let b = r + -6.5. Round b to seven decimal places. -0.0000031 Let k = -8740 + 8739.5351. Let t = k - -0.448. Round t to three dps. -0.017 Let c = -15058 + 15065.669. Round c to one dp. 7.7 Let w = -1617 - -570. Let s = 1934 + w. Suppose 10*z + 1363 + s = 0. What is z rounded to the nearest 10? -230 Let b = -513 - 136. Let l = b + 707.8. Let w = l - 36. What is w rounded to zero decimal places? 23 Suppose -4*k + 33*c - 954735 = 36*c, 5*c + 238705 = -k. What is k rounded to the nearest ten t
{ "pile_set_name": "DM Mathematics" }
b. 18 Solve 1568*a - 38649 = -428*a + 11251 for a. 25 Solve -1061*z - 93*z - 1020*z + 11626 = -31854 for z. 20 Solve 113*i + 358 = -420*i + 1424 for i. 2 Solve 55 - 15 = 1584*x - 1592*x for x. -5 Solve -4198*w - 33078 + 109453 + 107682 + 109803 = 0 for w. 70 Solve -1080*k - 25610 - 55192 + 1606 = 443*k for k. -52 Solve 31*b - 2235*b = -260*b - 97200 for b. 50 Solve 269 = -172*o + 228*o - 347 for o. 11 Solve -2488279*t = -2488311*t + 672 for t. 21 Solve 836*s + 4223 = -1427*s + 81165 for s. 34 Solve 417*q - 159 = -2244 for q. -5 Solve -244*a = 233*a - 457*a + 800 for a. -40 Solve 412 - 2897 = -1130*o + 1192*o - 2547*o for o. 1 Solve 29099 = 130*w + 44551 - 25982 for w. 81 Solve 2175*a - 243906 = 784*a - 2743*a for a. 59 Solve -884*p = 926*p - 84*p - 115*p + 103104 for p. -64 Solve -18507 = 501*q + 22099 + 26865 - 8353 for q. -118 Solve -242*m = -630*m + 42271 - 58955 for m. -43 Solve -32263*y - 1909000 = 127*y + 1686290 for y. -111 Solve -485 = -292*m - 258 - 1103 for m. -3 Solve 52*p + 63*p - 271 = 69*p + 1063 for p. 29 Solve -22639 = -558*v - 239*v - 10067 + 19308 for v. 40 Solve -3383 = 101*d - 3989 + 1919 for d. -13 Solve 0 = 5148*s + 2191*s - 880680 for s. 120 Solve -56 + 121 + 91 = 8*o - 28 for o. 23 Solve 2758*w + 16777 = 14019 for w. -1 Solve -105*o + 468*o - 145*o + 3243 = 149*o for o. -47 Solve 26236 - 865 - 841 = 1391*s - 78404 for s. 74 Solve -2110*a + 1018*a = 49140 for a. -45 Solve -269*p + 34341 = 59627 for p. -94 Solve 0 = 1558*x - 1600*x - 210 for x. -5 Solve -87*s + 22*s - 13*s = 1794 for s. -23 Solve -219141 = -343*d - 238349 for d. -56 Solve 272370 = -3377*l + 589*l - 139964 + 35954 for l. -135 Solve 0 = -2709*c - 279*c - 337*c - 129675 for c. -39 Solve 56*n - 1436 + 463 = -4109 for n. -56 Solve -122*i - 4448 = 21*i - 4*i for i. -32 Solve 0 = 647*o - 24517 + 61396 for o. -57 Solve 2697 + 6481 = 353*y for y. 26 Solve 1417 + 1922 = -146*p + 83*p for p. -53 Solve -5791*r = -6098*r + 11666 for r. 38 Solve -82*z + 55294023 = 55291727 for z. 28 Solve -7360 - 2806 = 450*u - 8*u for u. -23 Solve -5*v + 17094 = -219*v - 248*v for v. -37 Solve -47*d - 2245 + 4170 = 49*d - 2683 for d. 48 Solve -158 = -13*m + 107 + 112 for m. 29 Solve 2315*g = 2427*g + 4704 for g. -42 Solve 5*j = 20335 - 20685 for j. -70 Solve 48*y = 41*y - 134 + 92 for y. -6 Solve 1795*r + 62452 = -743*r - 28916 for r. -36 Solve -474*i + 6583 = -10481 for i. 36 Solve 43864 + 13764 = 3920*s - 7696 - 24836 for s. 23 Solve 74*x = 568*x + 262*x + 49140 for x. -65 Solve 333*n + 1235 - 23402 = -488*n for n. 27 Solve -630*p = 4538*p + 82688 for p. -16 Solve 0 = -1224*r + 13051 + 17549 for r. 25 Solve 1751 + 5993 = -176*v for v. -44 Solve 0 = -470*r + 79*r - 605 - 177 for r. -2 Solve 0 = -48*v - 5079855 + 5073903 for v. -124 Solve -224*x - 2008 - 17116 = 381*x + 1446 for x. -34 Solve -3990 = 908*w - 21242 for w. 19 Solve -789*u + 4521 = -652*u for u. 33 Solve -21776 = 5136*t + 363424 for t. -75 Solve 1047*c + 38927 = 1516*c for c. 83 Solve 284 = 108807*j - 108878*j for j. -4 Solve 865*h + 904 = -19856 for h. -24 Solve 3180 - 1775 = -1608*c - 8243 for c. -6 Solve 0 = -61*b - 44*b + 40677 - 47397 for b. -64 Solve -390*c - 710208 = -670818 for c. -101 Solve -160470*l + 160354*l = -2204 for l. 19 Solve -192*n = -5647 - 2492 + 651 for n. 39 Solve 9003*n = 9236*n + 1631 for n. -7 Solve -1166*u - 298*u + 21523 + 165869 = 0 for u. 128 Solve 466*z + 6464 = -560*z + 824*z for z. -32 Solve -3987*d + 65926 = -683*d + 1405*d for d. 14 Solve 1965*o + 157779 = -1392*o for o. -47 Solve 6240 = -2287653*p + 2287749*p for p. 65 Solve 2304*g - 74208 = 758*g for g. 48 Solve -322*u - 19531 = -26*u + 5333 for u. -84 Solve -3030*u - 6*u + 377533 = 305*u for u. 113 Solve -13200 = 39798*j - 40326*j for j. 25 Solve -2425*o = 243 - 19643 for o. 8 Solve -5976 = -52*s - 3220 for s. 53 Solve 0 = -172505*v + 172478*v - 999 for v. -37 Solve 41*i + 36*i - 784 = 50*i + 134 for i. 34 Solve -475*n - 382*n = -26962 - 35207 - 37243 for n. 116 Solve 204*v + 22850 = -710*v for v. -25 Solve -54*o - 377*o + 9051 = 0 for o. 21 Solve -43745 = 3905*c + 42165 for c. -22 Solve 671 - 8360 = -2064*v + 2229*v + 726 for v. -51 Solve 189*r - 75760 + 17881 = -342*r for r. 109 Solve -7524 = 199*z - 541*z for z. 22 Solve 1918*c + 15147 = 2479*c for c. 27 Solve 9*h = 225*h + 88*h - 14324 + 36820 for h. -74 Solve -1151*i + 71252 + 51905 = 0 for i. 107 Solve -111*c + 138407 = -11548*c - 82104 - 179784 for c. -35 Solve -193 + 993 = 16*z + 12*z - 824 for z. 58 Solve 303075 = 579*j + 250965 for j. 90 Solve -60*n + 51829 = -1876*n - 657*n + 4842 for n. -19 Solve 0 = -202*g - 10561 + 7935 for g. -13 Solve -516*s = 587*s - 1004*s + 5742 for s. -58 Solve 4551 = -39*h + 151*h - h for h. 41 Solve 6378 + 12578 = 2591*h - 24005 - 16632 for h. 23 Solve 256*f - 565*f - 418*f - 988*f = -41160 for f. 24 Solve 3129 = 169*z - 3631 for z. 40 Solve -70*g + 1256 = -539*g - 17973 for g. -41 Solve -156*g = 197*g - 1535*g - 52008 for g. -44 Solve 1590*h = 1571*h + 551 for h. 29 Solve -1760 + 765 = -20*v - 135 for v. 43 Solve 722 + 15967 + 6147 = 692*h for h. 33 Solve 10938*s - 10999*s + 182 - 2378 = 0 for s. -36 Solve 1546*l + 942*l + 624*l = 906*l + 26472 for l. 12 Solve 67*f - 440 = 183*f - 27*f - 49*f for f. -11 Solve -125*m + 409 = -20*m + 2299 for m. -18 Solve -2747*n = -1720*n + 56485 for n. -55 Solve 659 - 410 + 1842 = 68*x - 1921 for x. 59 Solve 5546*c - 170252 - 352092 = -12112 for c. 92 Solve 478*s + 1156 = -31348 for s. -68 Solve -398*v + 321*v = -238*v - 5313 for v. -33 Solve -582*x - 355723 = -357469 for x. 3 Solve -356396 = -7077*o - 52085 for o. 43 Solve -824*a - 11927 - 17276 = 25181 for a. -66 Solve 19080 = 165*h + 19245 for h. -1 Solve -1063*c - 49807 = -56185 for c. 6 Solve 0 = 37*q - 107*q - 4512 + 11302 for q. 97 Solve 54510 = 3475*s - 32206 + 1271 + 15945 for s. 20 Solve -5772 + 9151 = -1020*n - 14981 for n. -18 Solve 1342*t - 2624*t - 1836 = -1336*t for t. 34 Solve 3243 - 1098 = -65*f for f. -33 Solve 7427*w + 57527 + 59172 + 391075 + 368612 = 0 for w. -118 Solve 12*o - 14*o - 9*o + 364 = 3*o for o. 26 Solve -242*g = 231*g - 477*g + 196 for g. 49 Solve 15*u - 5*u - 6*u + 27*u + 1147 = 0 for u. -37 Solve -3517*r + 1560*r - 171513 = 1406*r for r. -51 Solve -1387*p - 558 - 4895 = -1647*p - 1033 for p. 17 Solve -590 + 2140 = -118*a + 874 - 3808 for a. -38 Solve 1269*g - 355*g - 3376 + 17327 = -16211 for g. -33 Solve 892*b + 39*b - 7093*b = 234156 for b. -38 Solve -214*d + 174718 = 170652 for d. 19 Solve -655 + 321 = 18*p - 802 for p. 26 Solve 431 = 46*q + 41*q - 1048 for q. 17 Solve -15747*l + 7872*l + 715 = -7930*l for l. -13 Solve -71*a - 57*a + 436 = -4812 for a. 41 Solve 68*m - 685 = 1559 for m. 33 Solve -161*o - 4736 = 237*o + 6408 for o. -28 Solve 1019 + 12910 - 1755 = 211*l - 9770 for l. 104 Solve -1441*d + 65121 + 90259 = -5516 + 13914 for d. 102 Solve -584*j + 11219 + 18535 - 6983 + 5 = 0 for j. 39 Solve 0 = 1016*a - 4351 - 41369 for a. 45 Solve -75*l - 408*l - 38874 = -858*l - 803*l for l. 33 Solve 0 = -312*j + 759*j + 1788 for j. -4 Solve 73*m + 3579*m = 421*m - 284328 for m. -88 Solve -58*q - 13445 + 1048 = 103*q for q. -77 Solve 0 = -251*j + 11717 + 3845 for j. 62 Solve -675*f = -30*f + 581*f - 34328 for f. 28 Solve 16173*a - 16302*a = 4386 for a. -34 Solve 414*a - 3795 + 30642 = 996*a + 75 for a. 46 Solve 2113*b = 134064 + 9620 for b. 68 Solve 840*w - 262*w - 1442*w = 4275*w + 133614 for w. -26 Solve 8*u = -394*u - 184*u + 14747 + 7521 for u. 38 Solve -1883*g + 191*g - 16972 = 16906 + 35494 for g. -41 Solve 18204*x + 1660171 = 1064190 - 1543510 - 299845 for x. -134 Solve 0 = -1039*d + 613*d - 24142 - 15476 for d. -93 Solve -2487*k = -2680*k - 17370 for k. -90 Solve 815*z = -853*z + 1727*z - 531 for z. 9 Solve 728*g + 774*g = -742*g + 2365*g - 6171 for g. 51 Solve -246*w + 2235 - 3760 - 2411 = 0 for w. -16 Solve -21674288*m + 21674017*m + 34417 = 0 for m. 127 Solve -6747 = 105*f + 4642*f - 30482 for f. 5 Solve 1538*p + 56342 - 974 = 0 for p. -36 Solve 229*k = -357 - 477 - 998 for k. -8 Solve 0 = -104*a - 128*a + 72*a + 1600 for a. 10 Solve -44804*w + 44831*w + 1677 = -1428 for w. -115 Solve 1097*t - 402*t + 15177 + 8453 = 0 for t. -34 Solve -602*m - 18670 = 3604 for m. -37 Solve 45*x - 60*x = -8*x - 28 for x. 4 Solve -2
{ "pile_set_name": "DM Mathematics" }
k**2 + 15*k - 1. Calculate the remainder when u(-5) is divided by 28. 25 Suppose -24*f + 407 + 242 = -143. Calculate the remainder when 331 is divided by f. 1 Let s(k) = -3 + 3*k**2 - 26*k + 13*k + 16*k. Calculate the remainder when s(-3) is divided by 5. 0 Suppose j = 4*m + 19, j - 4 = -0*j - m. Calculate the remainder when 432/21 + 4/(-7) is divided by j. 6 Let i(j) = -88*j - 1085. What is the remainder when i(-15) is divided by 112? 11 Suppose -n + 176 = z, 4*z = -5*n + 77 + 624. What is the remainder when z is divided by 54? 17 Let a(r) = r**2 + 25*r + 135. Let w be a(-8). Let y(g) = -125*g**3 + 2*g**2 + 2*g - 1. Calculate the remainder when y(w) is divided by 43. 38 Let j(h) = 9*h - 7. Let u = 113 - 97. Calculate the remainder when j(20) is divided by u. 13 Let y(o) = 3*o**3 + 3*o**2 + 4*o + 5. Let j be y(-2). What is the remainder when 106 is divided by 5/15*j - (-1 - 44)? 26 Let v = -7656 - -7682. Calculate the remainder when 330 is divided by v. 18 Suppose -2*p + 9 = -g, -p = -4*g - 24 + 9. Let i = 3 + 6. Calculate the remainder when p - -36 - 16/4 is divided by i. 8 Let a(q) be the first derivative of 5*q**2 - 33*q - 20. Let b be a(6). Let n = b + -9. What is the remainder when 53 is divided by n? 17 Suppose 3*i - 127 = -5*g - 0, -2*g = -5*i + 222. Suppose 4*z - 454 - 86 = 0. Let y = 150 - z. What is the remainder when i is divided by y? 14 Let w(t) = t**2 + 62*t + 322. What is the remainder when 1326 is divided by w(-57)? 31 Suppose -33*i - 34*i - 38640 + 104769 = 0. What is the remainder when i is divided by 100? 87 Suppose 0 = -10*m + 88 + 192. Suppose 31*l - 352 = -2*d + m*l, -4*d + 4*l + 664 = 0. Calculate the remainder when d is divided by 40. 10 Let a = 117 - 43. Suppose a + 190 = 3*o. Calculate the remainder when o is divided by 18. 16 What is the remainder when 612 is divided by (3/5 - 1)/((-124)/(-47585))*-2? 305 Let x = -4331 - -5218. Calculate the remainder when x is divided by 47. 41 Suppose 3*w - 90 = -s, 0*w + 94 = s + 5*w. Let p = 114 - s. Suppose 26 = 4*g + 2*l, 0*g + 2*g = -2*l + 18. Calculate the remainder when p is divided by g. 2 Let v(s) = -371*s**3 + s**2 - 65*s - 65. What is the remainder when v(-1) is divided by 87? 24 Let z(y) = 6*y**2 + y - 2. Let t be z(3). Let w = -52 + t. Suppose 3*j - 12 = -w*j. What is the remainder when 2 is divided by j? 0 Let j = 16073 + -15990. Calculate the remainder when 1163 is divided by j. 1 Let g = -851 + 320. Let z = -529 - g. What is the remainder when 34 is divided by z? 0 Let q = 38 + -19. Let l = 315 - 189. What is the remainder when q is divided by 910/l + (-6)/27? 5 Let d(p) = -p**3 - p**2 - 32*p - 157. Calculate the remainder when d(-6) is divided by 73. 69 Let o = 59 - 34. Let w = 2017 + -2023. Calculate the remainder when 14/(-28)*(-24)/w*-45 is divided by o. 15 Let l(n) = 42*n**2 + 58*n - 48. Calculate the remainder when l(6) is divided by 121. 118 Suppose 5*v - 6*v + 2 = j, v + 5 = 0. Suppose 14*t = 585 + 367. Let b = t - 61. Calculate the remainder when b is divided by j. 0 Let z = 840 - -353. What is the remainder when z is divided by 320? 233 Suppose -54*b - 2*b + 15600 = -6*b. Calculate the remainder when b is divided by 35. 32 Suppose 0 = q - 3*q + 106. Suppose 3*d - 267 = -3*t, -2*t - 946*d + 975*d = -581. What is the remainder when t is divided by q? 49 Suppose 2*i - 695 = -r, 0 = 2*r + 40*i - 35*i - 1394. What is the remainder when r is divided by 23? 20 Suppose -4*f = 2*y + 92 + 16, -86 = 3*f - y. What is the remainder when f/8*(-488)/28 is divided by 7? 5 Let j be 12/(-30) + (-18)/5. Let y(g) = -g**2 - 11*g - 4. Let w(c) = -c**2 - 10*c - 7. Calculate the remainder when y(j) is divided by w(-8). 6 Let z = -378 - -1158. What is the remainder when z is divided by 67? 43 Let c = -5126 - -5802. Calculate the remainder when c is divided by 53. 40 Suppose -4*k = -2*r - 676, -r - 979 = -5*k - 134. Suppose -k = -2*w - 99. What is the remainder when w is divided by 492/28 - (-12)/28? 17 Let k(t) = 4*t + 4. Let w = -16 + 22. What is the remainder when ((-8)/(-3))/4*(858/4 + -6) is divided by k(w)? 27 Suppose -4*d = -5*m - 74, -4*d + 18*m = 23*m - 54. Suppose 9*b + d*b = 100. What is the remainder when 18 is divided by b? 2 Let f = 3859 - 3814. Suppose -2*m - 5*b - 5 = 0, m + 2*b + 5 = -b. Calculate the remainder when f is divided by m. 5 Let v be (-17)/8 - (-2)/16. What is the remainder when ((-270)/25)/(v - 51/(-30)) is divided by 22? 14 Let f(g) = -7*g**3 + 195*g**2 + 33*g - 59. Calculate the remainder when 260 is divided by f(28). 17 Let v be (2/4)/((-75)/(-72) + -1). Let c be 15/v*(-16)/(-4). Suppose y - 1 = 2*a + 2, 2*a = c*y - 23. Calculate the remainder when 3 is divided by a. 0 Calculate the remainder when (-18 + (1 - -12))*-25 is divided by 4. 1 Suppose 18*r - 350622 = -68*r. Calculate the remainder when r is divided by 51. 48 Suppose d = -k + 322, -6*d + 3*d + 4*k = -980. Let m = -313 + d. What is the remainder when 59 is divided by m? 4 Calculate the remainder when (-80 - -79)*618/4*(-78)/9 is divided by 662. 15 Suppose 0 = y + d - 3692, -5*d = 87*y - 92*y + 18490. Calculate the remainder when y is divided by 307. 11 Suppose -213*d + 214*d - 851 = -3*m, d - 851 = -m. What is the remainder when d is divided by 235? 146 Suppose -4382 = 9*l - 4688. Let y = 2 - -1. Suppose y*i + 57 = 6*i. What is the remainder when l is divided by i? 15 Suppose -878*m + 876*m + 118 = 0. Calculate the remainder when 150 is divided by m. 32 Let p = -9569 + 9913. What is the remainder when p is divided by 129? 86 Let c(i) = i**3 - i**2 - 7*i - 2. Suppose -11126 = 15*t - 11351. Calculate the remainder when c(5) is divided by t. 3 Let y(i) = i + 13. Let m be y(9). Let q = 27 - m. Suppose -928*w + 934*w = 96. What is the remainder when w is divided by q? 1 Let u(k) = 2*k**2 + 20*k + 25. Let r be u(-9). Let s be r + 3 + 0 + 1. Suppose 1000 = s*z - 3*z. Calculate the remainder when z is divided by 21. 20 Let h(q) = -16*q**3 + 3*q**2 - 3*q + 14. What is the remainder when h(-3) is divided by 22? 20 Suppose w - p - 3*p - 296 = 0, -4*w - 3*p + 1146 = 0. Suppose z - w = -5*z. Suppose -6*v + z = -2*v. What is the remainder when 23 is divided by v? 11 Suppose 15*a - 625 = -25. Suppose 0 = 3*n + 2*m - 32, 0*n + 2*m = n - 24. What is the remainder when a is divided by n? 12 Let w(p) = 3*p - 3. Suppose 104*h = 99*h - 40. Let y(o) = 11*o + 100. What is the remainder when w(9) is divided by y(h)? 0 Suppose -4*m - 2*q + 12 = 0, q - 10 = -8*m + 4*m. Let x be (4 + (m - 2))*(2 - 0). Suppose -204 = 5*t - x*t. Calculate the remainder when t is divided by 26. 16 Let q(d) = -26*d - 40. Let i be q(4). Let o = 165 + i. What is the remainder when o is divided by 18? 3 Let k(z) = 58*z + 133. Let y be ((-48)/(-40))/((24/10)/6). Calculate the remainder when k(y) is divided by 5. 2 Let o be 2 + 119 + (5 - 0). Let l = o - 93. Calculate the remainder when 296 is divided by l. 32 Suppose -q - 34 = -6*q - 3*r, -2*q + 2*r + 20 = 0. Let a be 8*(4 - (-117)/12). Let o = a - 73. What is the remainder when o is divided by q? 5 Let c(t) = -t**3 - 4*t**2 - 5*t - 2. Let m be c(-3). Suppose 4*d + 34*v - 40*v = 34, 2*d - 30 = 2*v. Calculate the remainder when 6/4*m*18 is divided by d. 24 Let p = -13760 + 13924. What is the remainder when 707 is divided by p? 51 What is the remainder when (132/(-55))/(20/(-17075)) is divided by 17? 9 Suppose 9*v - 30093 = -16*v - 7918. Calculate the remainder when v is divided by 219. 11 Let x be (12 - 0)*(-82)/123. Let v(k) = -3*k**3 - 22*k**2 + 9*k + 26. Calculate the remainder when v(x) is divided by 2. 0 Suppose -7 + 39 = m - 2*h, 4*m - 137 = 5*h. What is the remainder when 8/144*2118 - (-3)/9 is divided by m? 4 Let m = -8 + 12. Suppose -2*i - 6*g = -m*g - 28, -4*i = g - 44. Let q(y) = 15*y - 143. Calculate the remainder when q(12) is divided by i. 7 Let i = 56 + -52. Suppose -5*j = z + 57, -4*z + i*j = z + 140. Let m = z + 79. What is the remainder when m is divided by 12? 11 Let l = 8979 - 4942. What is the remainder when l is divided by 101? 98 Let o be (100/(-12) + 3)/((-2)/9). Let x = o + -16. Let j = x + 16. What is the remainder when 45 is divided by j? 21 Let z be 330/(-77) + 7 + (-2)/(-7). Suppose 4*m - 8*y + 3*y - 1500 = 0, -1125 = -z*m - 3*y. Calculate the remainder when
{ "pile_set_name": "DM Mathematics" }
factors of 363. 3, 11 List the prime factors of 1472. 2, 23 What are the prime factors of 12028? 2, 31, 97 What are the prime factors of 32438? 2, 7, 331 What are the prime factors of 725? 5, 29 List the prime factors of 171. 3, 19 What are the prime factors of 2257? 37, 61 What are the prime factors of 5817? 3, 7, 277 List the prime factors of 999. 3, 37 List the prime factors of 61838. 2, 7, 631 What are the prime factors of 85183? 7, 43, 283 List the prime factors of 16109. 89, 181 List the prime factors of 2244. 2, 3, 11, 17 What are the prime factors of 38456? 2, 11, 19, 23 What are the prime factors of 16253? 16253 What are the prime factors of 873? 3, 97 What are the prime factors of 26099? 26099 List the prime factors of 1022. 2, 7, 73 List the prime factors of 850. 2, 5, 17 List the prime factors of 510. 2, 3, 5, 17 List the prime factors of 2607. 3, 11, 79 What are the prime factors of 38000? 2, 5, 19 What are the prime factors of 21627? 3, 89 List the prime factors of 1169. 7, 167 List the prime factors of 1819. 17, 107 List the prime factors of 1057. 7, 151 What are the prime factors of 6116? 2, 11, 139 List the prime factors of 2846. 2, 1423 What are the prime factors of 25? 5 What are the prime factors of 1701? 3, 7 List the prime factors of 7617. 3, 2539 What are the prime factors of 6333? 3, 2111 List the prime factors of 87560. 2, 5, 11, 199 List the prime factors of 1400. 2, 5, 7 What are the prime factors of 4580? 2, 5, 229 What are the prime factors of 565? 5, 113 List the prime factors of 335. 5, 67 What are the prime factors of 9045? 3, 5, 67 List the prime factors of 9741. 3, 17, 191 What are the prime factors of 321? 3, 107 What are the prime factors of 899? 29, 31 What are the prime factors of 9469? 17, 557 What are the prime factors of 667? 23, 29 What are the prime factors of 5182? 2, 2591 What are the prime factors of 21728? 2, 7, 97 List the prime factors of 22801. 151 What are the prime factors of 62495? 5, 29, 431 What are the prime factors of 439? 439 List the prime factors of 175267. 175267 List the prime factors of 330. 2, 3, 5, 11 List the prime factors of 18466. 2, 7, 1319 List the prime factors of 2096. 2, 131 What are the prime factors of 1448? 2, 181 List the prime factors of 7243. 7243 List the prime factors of 11838. 2, 3, 1973 What are the prime factors of 6360? 2, 3, 5, 53 List the prime factors of 6030. 2, 3, 5, 67 What are the prime factors of 34737? 3, 11579 What are the prime factors of 3193? 31, 103 List the prime factors of 2425. 5, 97 List the prime factors of 3663. 3, 11, 37 List the prime factors of 789. 3, 263 What are the prime factors of 12637? 12637 What are the prime factors of 69769? 7, 9967 List the prime factors of 3807. 3, 47 What are the prime factors of 4867? 31, 157 List the prime factors of 946. 2, 11, 43 What are the prime factors of 876? 2, 3, 73 List the prime factors of 1643. 31, 53 What are the prime factors of 5884? 2, 1471 What are the prime factors of 75912? 2, 3, 3163 What are the prime factors of 28823? 19, 37, 41 What are the prime factors of 10652? 2, 2663 List the prime factors of 504. 2, 3, 7 List the prime factors of 9773. 29, 337 What are the prime factors of 66642? 2, 3, 29, 383 What are the prime factors of 104? 2, 13 What are the prime factors of 45102? 2, 3, 7517 List the prime factors of 101711. 17, 31, 193 What are the prime factors of 1618? 2, 809 List the prime factors of 155766. 2, 3, 13, 1997 What are the prime factors of 133276? 2, 11, 13, 233 What are the prime factors of 1608? 2, 3, 67 What are the prime factors of 3213? 3, 7, 17 List the prime factors of 40. 2, 5 What are the prime factors of 4303? 13, 331 List the prime factors of 494. 2, 13, 19 What are the prime factors of 7842? 2, 3, 1307 List the prime factors of 857. 857 What are the prime factors of 156? 2, 3, 13 What are the prime factors of 5761? 7, 823 What are the prime factors of 4516? 2, 1129 List the prime factors of 6368. 2, 199 What are the prime factors of 2188? 2, 547 What are the prime factors of 7262? 2, 3631 List the prime factors of 1008. 2, 3, 7 What are the prime factors of 4016? 2, 251 List the prime factors of 1569. 3, 523 List the prime factors of 528. 2, 3, 11 What are the prime factors of 23447? 23447 List the prime factors of 12596. 2, 47, 67 List the prime factors of 416. 2, 13 List the prime factors of 36265. 5, 7253 What are the prime factors of 123988? 2, 139, 223 What are the prime factors of 56547? 3, 61, 103 What are the prime factors of 6405? 3, 5, 7, 61 List the prime factors of 48945. 3, 5, 13, 251 What are the prime factors of 2273? 2273 List the prime factors of 28175. 5, 7, 23 What are the prime factors of 1223? 1223 List the prime factors of 11743. 11743 List the prime factors of 75139. 29, 2591 List the prime factors of 1526. 2, 7, 109 What are the prime factors of 858? 2, 3, 11, 13 What are the prime factors of 3720? 2, 3, 5, 31 List the prime factors of 1755. 3, 5, 13 What are the prime factors of 1651? 13, 127 List the prime factors of 3793. 3793 What are the prime factors of 3871? 7, 79 List the prime factors of 14549. 14549 List the prime factors of 11103. 3, 3701 What are the prime factors of 32797? 32797 List the prime factors of 896. 2, 7 List the prime factors of 33285. 3, 5, 7, 317 What are the prime factors of 18041? 18041 List the prime factors of 1136. 2, 71 List the prime factors of 15384. 2, 3, 641 List the prime factors of 67269. 3, 17, 1319 List the prime factors of 1902. 2, 3, 317 What are the prime factors of 11861? 29, 409 List the prime factors of 105. 3, 5, 7 List the prime factors of 31679. 79, 401 What are the prime factors of 393? 3, 131 List the prime factors of 8449. 7, 17, 71 What are the prime factors of 6700? 2, 5, 67 List the prime factors of 878. 2, 439 What are the prime factors of 18048? 2, 3, 47 List the prime factors of 39. 3, 13 What are the prime factors of 21011? 21011 List the prime factors of 60118. 2, 30059 What are the prime factors of 1052? 2, 263 What are the prime factors of 3559? 3559 List the prime factors of 27672. 2, 3, 1153 What are the prime factors of 3210? 2, 3, 5, 107 What are the prime factors of 75536? 2, 4721 List the prime factors of 45830. 2, 5, 4583 What are the prime factors of 3952? 2, 13, 19 What are the prime factors of 63719? 63719 List the prime factors of 28479. 3, 11, 863 List the prime factors of 56105. 5, 7, 229 List the prime factors of 1609. 1609 What are the prime factors of 5050? 2, 5, 101 What are the prime factors of 114969? 3, 19, 2017 What are the prime factors of 305? 5, 61 What are the prime factors of 58165? 5, 11633 List the prime factors of 1294. 2, 647 What are the prime factors of 1088? 2, 17 List the prime factors of 21191. 21191 List the prime factors of 857. 857 List the prime factors of 561. 3, 11, 17 What are the prime factors of 7227? 3, 11, 73 List the prime factors of 28929. 3, 9643 List the prime factors of 1016. 2, 127 What are the prime factors of 563? 563 List the prime factors of 4772. 2, 1193 List the prime factors of 614. 2, 307 List the prime factors of 6633. 3, 11, 67 List the prime factors of 3600. 2, 3, 5 List the prime factors of 1226. 2, 613 List the prime factors of 6381. 3, 709 What are the prime factors of 619? 619 List the prime factors of 6023. 19, 317 List the prime factors of 31882. 2, 19, 839 What are the prime factors of 1173? 3, 17, 23 What are the prime factors of 11555? 5, 2311 What are the prime factors of 25257? 3, 8419 List the prime factors of 761. 761 What are the prime factors of 109095? 3, 5, 7, 1039 List the prime factors of 1909. 23, 83 List the prime factors of 1076. 2, 269 What are the prime factors of 1178? 2, 19, 31 What are the prime factors of 1651? 13, 127 List the prime factors of 3896. 2, 487 List the prime factors of 25518. 2, 3, 4253 List the prime factors of 22800. 2, 3, 5, 19 What are the prime factors of 10258? 2, 23, 223 List the prime factors of 93882. 2, 3, 15647 List the prime factors of 4089. 3, 29, 47 List the prime factors of 40836. 2, 3, 41, 83 What are the prime factors of 1746? 2, 3, 97 List the prime factors of 1433. 1433 What are the prime factors of 76729? 277 What are the prime factors of 31681? 1
{ "pile_set_name": "DM Mathematics" }
vative of -244 - 93 + 9758*h - 439*h**2 - 9758*h wrt h? -878*h Let r(q) be the second derivative of 0*q**3 + 33*q - 5/6*q**4 - 29/20*q**5 + 0*q**2 + 0. What is the third derivative of r(l) wrt l? -174 Let v(b) be the second derivative of 13*b**7/3 - b**3/6 - 427*b**2/2 + 336*b. Find the second derivative of v(q) wrt q. 3640*q**3 Let x(w) = 2*w**2 + 7*w - 12. Let p be (-110)/10 + (0 - (-2 - -1)). Let q(c) = -3*c**2 - 13*c + 23. Let a(b) = p*x(b) - 6*q(b). Differentiate a(k) wrt k. -4*k + 8 Let b(l) be the first derivative of 17 + 13/6*l**6 + 0*l + 0*l**4 + 0*l**5 + 0*l**3 + 10*l**2. What is the second derivative of b(p) wrt p? 260*p**3 Suppose 2*x = x + 2. Find the third derivative of -x*r**5 + 11*r**5 - 14*r**3 + 14*r**3 - 2*r**2 wrt r. 540*r**2 Let c(x) be the second derivative of -x**6/48 - 3*x**5/40 - x**4 + 2*x. Let d(v) be the third derivative of c(v). Find the first derivative of d(q) wrt q. -15 Let j(r) be the second derivative of -11*r**7/210 - r**3/2 + 3*r**2 - 3*r. Let h(p) be the first derivative of j(p). Differentiate h(c) wrt c. -44*c**3 Suppose -5 - 1 = -2*x. Suppose -4*h = -x*s - 28, 2*h - 4 = 5*h + 4*s. Find the third derivative of b**2 - 2*b**h - b**4 + 2*b**2 + 5*b**4 wrt b. 48*b Let t(x) = -6*x - 57. Let o(c) = -7*c - 56. Let k(f) = 4*o(f) - 6*t(f). Find the first derivative of k(l) wrt l. 8 Let m(f) be the third derivative of 0*f - 17/3*f**3 - 17/12*f**4 + 0 - 6*f**2. Find the first derivative of m(i) wrt i. -34 Let h be 6/(-10)*(0 - (-9 - -14)). Suppose -1 - 1 = -2*x. Find the first derivative of h*i + 8*i**4 - 7*i**4 - 3*i - x wrt i. 4*i**3 Find the second derivative of 21*t - 118*t**4 + 120*t - 27*t**4 + 4*t**4 - 171*t**4 wrt t. -3744*t**2 Let u(a) be the second derivative of -a**3/6 + 5*a**2/2 + 13*a. Let i be u(-7). What is the second derivative of i*f**4 - 5*f + 2*f - 3*f wrt f? 144*f**2 Let z(s) = 29*s**3 + 6*s**2 - 72*s - 4. Let g(f) = 30*f**3 + 4*f**2 - 72*f - 3. Let a(r) = 3*g(r) - 2*z(r). What is the second derivative of a(q) wrt q? 192*q What is the first derivative of 81*x**3 + 153*x**2 - 132 - 81*x**2 - 72*x**2 wrt x? 243*x**2 Let p(v) be the first derivative of 2*v**5/5 - 11*v**3/3 - 102*v + 173. Find the first derivative of p(k) wrt k. 8*k**3 - 22*k Suppose 5*l - 51 = 3*y, 2*y - 23 = -l - 5. Find the second derivative of -l*o**2 - 6*o**2 - 17*o**2 - 1 + 41*o - o**2 wrt o. -72 What is the third derivative of 0*b**4 - 3*b**4 - 14*b**2 + 35*b**2 - 10*b**3 - 10*b**2 wrt b? -72*b - 60 Let g(a) = 282*a**3 - 345*a - 10. Let r(k) = 423*k**3 - 518*k - 14. Let h(f) = 7*g(f) - 5*r(f). Find the second derivative of h(i) wrt i. -846*i Let c = -17 + 28. Find the third derivative of -2305*s - c*s**2 + 7*s**3 + 2305*s wrt s. 42 What is the derivative of 5*q**2 - 14*q - 13*q - 594 - 10*q + 36*q wrt q? 10*q - 1 Let y(i) be the first derivative of i**6/120 - 7*i**4/24 + 8*i**3/3 - 10. Let g(p) be the third derivative of y(p). Differentiate g(s) with respect to s. 6*s Let d(g) = 4*g**5 + 6*g**4 - 6*g**3 - 116*g**2 + 4*g + 46. Let w(l) = l**4 - l**3 + 1. Let h(v) = d(v) - 6*w(v). Find the second derivative of h(b) wrt b. 80*b**3 - 232 Let g = -37 - -38. Let o(v) = -3*v**3 - 11*v**2 + 4*v - 4. Let m(j) = -j**3 - j + 1. Let y(x) = g*o(x) + 4*m(x). Find the third derivative of y(l) wrt l. -42 Suppose 2*a - 16 = -2*a. What is the first derivative of 29*y**a - 74*y**4 - 10 + 37*y**4 wrt y? -32*y**3 Let n = -24 - -28. What is the first derivative of -9*v**4 + 7*v**n + v**4 + 5 + 6*v**4 wrt v? 20*v**3 Find the second derivative of -43*z + 15*z + 426 + 13*z + 902*z**3 + 14*z wrt z. 5412*z Let v(s) be the second derivative of s**6/10 - 33*s**5/20 - s**4/3 + 2*s**3 + 37*s + 1. Find the third derivative of v(p) wrt p. 72*p - 198 Let t(f) = -4*f**2 + 79*f. Let l(r) = 21*r**2 - 317*r. Let s(d) = -4*l(d) - 18*t(d). Find the second derivative of s(o) wrt o. -24 Find the second derivative of 1 + 66*k + 22*k**2 - 17*k**2 + 12*k**3 - k**3 wrt k. 66*k + 10 Let r(c) be the first derivative of 15*c + 4 + 7/2*c**2. What is the derivative of r(x) wrt x? 7 Let b(g) = 8*g**2 + 5*g**2 - 5*g**2. Let t(z) = 2*z**2 + z**2 - 2*z**2 + 6*z**2 + z. Let n(j) = 4*b(j) - 5*t(j). Find the second derivative of n(k) wrt k. -6 Let r = 42 + -37. Suppose -a + 6 = a. What is the first derivative of r - 4*q**3 + q**3 + q**a wrt q? -6*q**2 Let l be 6/(((-21)/(-2))/7). Suppose 2*t - l = 0, 5*t - 22 = -3*x - 0*x. What is the derivative of 5*i - 2 + 3 - x + 2 wrt i? 5 What is the second derivative of 49*y**2 - 7*y - 7 + 103*y**2 + 21*y wrt y? 304 Let j(y) be the second derivative of y**7/360 + y**5/12 - 5*y**4/2 - 22*y. Let m(g) be the third derivative of j(g). Find the first derivative of m(n) wrt n. 14*n Let a(k) = 3*k**2 + 157*k + 420. Let y(u) = -2*u**2 - 158*u - 421. Let n(x) = -4*a(x) - 5*y(x). Differentiate n(t) with respect to t. -4*t + 162 Let x = 1/650 + 313/7800. Let b(i) be the third derivative of x*i**4 + 4*i**2 + 1/2*i**3 + 0 + 0*i. Find the first derivative of b(y) wrt y. 1 Let y(n) be the first derivative of -5/3*n**3 - 6 + n + 0*n**2. Differentiate y(f) with respect to f. -10*f Suppose 5*x = 8*x. Suppose x = -5*f + 7 + 3. Differentiate -3 - 5*u**2 + 4 - f - 2 wrt u. -10*u Let d(h) be the first derivative of 0*h**2 - 3*h - 7 + 8/3*h**3. What is the derivative of d(c) wrt c? 16*c Let g = -1 - 2. Let k = g + 6. Find the second derivative of -5*f**3 + 3*f + 4*f**k - f**3 wrt f. -12*f Suppose 8*w - 56 = -0*w. Find the second derivative of -17*k - 5*k**4 + 29*k**4 + 16*k**4 + w*k**4 wrt k. 564*k**2 Let u(b) be the third derivative of b**4/8 + 17*b**3/2 + 138*b**2. Differentiate u(k) with respect to k. 3 Let q(a) = 397*a**2 + 4*a - 428. Let s(g) = 2*g**2 - g + 6. Let t(x) = -q(x) - 4*s(x). What is the derivative of t(y) wrt y? -810*y Let h be 10/7 - (-6)/(-14). Suppose 2*y - 5 = -h. What is the third derivative of 0*u**6 - 4*u**6 + u**2 + u**y + u**6 wrt u? -360*u**3 Suppose 4*l + 5*t = 2*l + 7, -5*t - 5 = 0. Suppose 4*d + 18 = 2*c, 2*c = -2*c + 2*d + 18. What is the second derivative of -5*a + l*a - 4*a + 4*a**c wrt a? 24*a Suppose 3*w = -w + 128. What is the second derivative of w*z + 3 - 14*z - 3 + 8*z**4 wrt z? 96*z**2 What is the third derivative of 7*c + 179*c**4 + 20*c - 903*c**2 + 12*c - 39*c wrt c? 4296*c Find the second derivative of 32*i - 64*i**2 - i**3 + 63*i**2 + 19*i wrt i. -6*i - 2 Let w(x) be the second derivative of 142*x**5/5 - 11*x**4/4 + 3*x**2/2 - 421*x. What is the third derivative of w(r) wrt r? 3408 Suppose -2*x = 10, 64 = -0*t + 4*t - 4*x. Find the second derivative of -10*a**3 + 7*a**2 + 3*a - t*a**2 + 4*a**2 wrt a. -60*a Let v(q) = -17*q**4 - 6*q + 34. Let i be (156/(-65))/((-4)/(-10)). Let p(y) = 527*y**4 + 187*y - 1054. Let o(z) = i*p(z) - 187*v(z). Differentiate o(m) wrt m. 68*m**3 Let v = 575 + -572. Let i(o) be the third derivative of 0*o + 0*o**4 - 1/2*o**v + 1/10*o**5 + 0 + o**2. Differentiate i(n) with respect to n. 12*n Let m(l) be the first derivative of l**5/5 - 2*l**4 + 84*l - 32. Find the first derivative of m(a) wrt a. 4*a**3 - 24*a**2 Differentiate -39 + 292 + 20*t**2 + 106 with respect to t. 40*t Let t(p) = -1. Let j(z) = 4*z + 1. Let c be j(-2). Let x = c - -5. Let m(u) = -4*u - 9. Let d(i) = x*t(i) + m(i). Differentiate d(g) with respect to g. -4 Let g(f) be the third derivative of f**9/7560 + f**7/840 + f**4/8 + 10*f**2. Let b(x) be the second derivative of g(x). Find the third derivative of b(q) wrt q. 48*q Let i(o) be the third derivative of -o**7/105 + 47*o**6/120 + 13*o**4/3 - 2*o**2 + o. Find the second derivative of i(l) wrt l. -24*l**2 + 282*l Suppose -x + 3 - 2 = 0. Differentiate 88*w**4 - 92*w**4 - 2 - x wrt w. -16*w**3 Suppose -2*o + 16 = -4*h, -o - h - 3*h = 10. What is the second derivative of o*k**3 + 28*k**3 - 10*k**3 + 2*k wrt k? 120*k Let o(n) = -n**3 - n + 1. Let y(q) = -24*q**3 - 6*q - 15. Let b = 23 + -38. Let d(c) = b*o(c) - y(c). What is the second derivative of d(s) wrt s? 234*s Let d(k) = k**3 + 3*k**2 - 5*k - 4. Let w be d(-4). Let f = -54 - -57. What is the second derivative of 0*j + w*j + j - 7*j - 3*j**f wrt j? -18*j Let u(d) be the second derivative of 13*d**5/20 - 17*d**4/12 + 268*d**3/3 + 390*d + 2. What is the second derivative of u(c) wrt c? 78*c - 34 Let b(y) be the first derivative
{ "pile_set_name": "DM Mathematics" }
t integer? 6 What is the square root of 89476324 to the nearest integer? 9459 What is 597948264 to the power of 1/3, to the nearest integer? 842 What is 51109268 to the power of 1/3, to the nearest integer? 371 What is the square root of 1283554513 to the nearest integer? 35827 What is the third root of 2410110684 to the nearest integer? 1341 What is 4539512342 to the power of 1/4, to the nearest integer? 260 What is the sixth root of 408266286 to the nearest integer? 27 What is 275087047 to the power of 1/6, to the nearest integer? 26 What is the fifth root of 340193718 to the nearest integer? 51 What is 529545507 to the power of 1/3, to the nearest integer? 809 What is the sixth root of 83643647 to the nearest integer? 21 What is 93822969 to the power of 1/6, to the nearest integer? 21 What is 691415352 to the power of 1/2, to the nearest integer? 26295 What is the third root of 105708491 to the nearest integer? 473 What is the third root of 118957913 to the nearest integer? 492 What is 357045974 to the power of 1/6, to the nearest integer? 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{ "pile_set_name": "DM Mathematics" }
-29*j + 524 = -w. Solve -j*k + 15 = -24*k for k. -5 Let a = -8686 - -8686. Suppose 4*s = -5*p + 6*p + 14, 0 = s + p - 1. Suppose 2 = -s*i + 8. Solve -i*h + a = 8 for h. -4 Let f be (3 - -4) + -1 - 4. Suppose 6*p + 5 = p, -28 = -5*l - f*p. Solve 9*x - 3 - l = 0 for x. 1 Suppose -80 = -5*f - 3*t - 23, -16 = -4*f + 5*t. Suppose -f*u = -2 + 2. Solve 5*n - n + n = u for n. 0 Suppose -5*u = 2*h - 332, -3*h - 167 + 500 = 5*u. Solve 7*t - 18*t - u = 0 for t. -6 Let d be -5 - -16*(-4)/(-8). Suppose d*c + 6*r = r - 80, -124 = 4*c - 2*r. Let n be (-4)/(-30) - ((-94)/c - 3). Solve n = -0*a + 2*a for a. 0 Let z = -178 + 121. Let p = z + 61. Let l be -3 - 1*(-4 - p). Solve -2*h + 3 = -l*h for h. -1 Let q(n) = 2*n**2 + 4*n + 205. Let l be q(-7). Solve -l = 58*t + 73 for t. -6 Let f(t) = -32*t + 50. Let b be f(1). Solve -12*l - 18 = -b for l. 0 Let t = -260 - -115. Let p = -141 - t. Solve 0 = 7*m - p - 3 for m. 1 Suppose -46 + 115 = 69*x. Suppose 12 = w + 2*w. Solve w*n - x = -17 for n. -4 Let v be 114/24 - (-2)/8. Let d = 48 - 43. Suppose d*f - 122 + 47 = 0. Solve -5*p + v = -f for p. 4 Let n be (-48*1 + 3 - (-32 - -34))*-1. Solve -4*t - 31 = -n for t. 4 Let o = 194 - 188. Suppose 24*b - o = 21*b. Solve 0 = 3*x + b*x - 25 for x. 5 Let f be (8/(-3))/(40/(-15) + 2). Let r(u) be the third derivative of u**4/24 - 7*u**3/6 - u**2. Let t be r(10). Solve -t*x + x = -f for x. 2 Suppose 5*r - l = 36, 2*r - 5*l = 13 - 17. Solve -r*k = -6*k for k. 0 Let b(a) = 156*a + 4869. Let c be b(-29). Solve -34*w - 141 = -c for w. 6 Let x(h) = 8*h**3 - 4*h + 5*h**2 - 22*h**3 + 3 + 13*h**3. Let l be x(4). Suppose -44 = -l*b + 7. Solve 1 - b = 4*n for n. -4 Suppose -30*d = -316*d + 1688544. Solve -d*r = -5892*r + 84 for r. -7 Suppose 6073 - 2502 + 1669 = 131*l. Solve -l*b + 15*b - 50 = 0 for b. -2 Let d = -20 + 30. Let n = -38 + 83. Let y be n/6 + -2 + 2/(-4). Solve 5*w - d = y for w. 3 Let f(x) = -x**3 - 5*x**2 - 54*x - 413. Let r be f(-9). Solve 384*d - r*d = 13 for d. -1 Let p(y) = -2*y**3 + 61*y**2 - 21*y - 254. Let r be p(30). Solve -r*o - 60 = -12 for o. -3 Let r(q) = 16*q**2 + q - 3. Let m be r(1). Suppose 5*y - 5*o = -2*o - 4, 5*y = -2*o - m. Let f be 19 - (y - 0/3). Solve -5 + f = -4*n for n. -4 Let d(i) = i**3 - 3*i**2 - 5*i + 13. Let z(q) = 4*q**3 - 11*q**2 - 21*q + 51. Let j(m) = 9*d(m) - 2*z(m). Let f be j(5). Solve f = 5*r - 3*r for r. 0 Let p be (-5)/((-20)/16) + 0. Suppose -p*i = -3 + 95. Let k = i - -27. Solve -2*y + 6*y = -k for y. -1 Let q(h) = -h**2 - h + 473. Let z be q(21). Solve -24 = z*n - 57 for n. 3 Suppose -23*p + 24*p - 580 = -2*x, 0 = -4*p. Solve -100*m = 90 - x for m. 2 Let o be 34/119 + (-145)/(-7). Suppose 2*j - 2 = -4*w, 5*w - 4 = 2*j + o. Solve 12 = -b - w*b for b. -3 Let q(z) = -51 - 2*z + 5*z + 35. Let n be q(6). Suppose -2*r + 4*r + n*i = 4, i + 2 = r. Solve 9 = p + r*p for p. 3 Let x be -42 + 50 - 7*1. Let h be (2 - -4) + 0/x. Solve h*t - 5 = 5*t for t. 5 Let a(q) = 3*q**2 - 4*q - 72. Let k be a(-6). Solve 0 = 2*v - 50 + k for v. -5 Let y = 0 + 0. Suppose -129*a + 127*a = -5*x - 4, 0 = -x + 3*a - 6. Suppose x = -3*h + 5*h - y*h. Solve -4*g + 4 = -h for g. 1 Let a(i) = i**2 + 7*i + 8. Let b be a(-6). Let j be 6 - (4/10 + 1064/190). Solve j = -q + 6 - b for q. 4 Suppose -32 = -5*h + k, -42*h + 40*h - k + 10 = 0. Solve h*p - 11 = 19 for p. 5 Let h be 114*187/34 - -13. Solve -h*g - 64 = -632*g for g. -8 Let b(l) = -l**3 - 7*l**2 - 3*l - 15. Let g = 85 + -92. Let y be b(g). Suppose y*w = 10*w - 16. Solve 25 = -h - w*h for h. -5 Let p be 915/2 - ((-10)/(-15))/(40/(-90)). Solve 0 = -8*c + 451 - p for c. -1 Let s(m) = 3*m - 296. Let j be s(33). Let f = 198 + j. Solve 4*n = 15 + f for n. 4 Suppose 0 = -7*w + 6*w - 2. Let p be 40/50 + (w/(-5))/2. Let d be ((-3)/(-3) - p)*(-2)/4. Solve -5*q - 6 - 14 = d for q. -4 Let c(r) = -30 + 3*r**3 - 2*r**3 - 28*r + 6*r**3 - 8*r**3 + 17*r**2. Let j be c(15). Solve q + 2*q - 2*q = j for q. 0 Suppose -4*a + 0*a = 12, -139 = 2*l + 5*a. Let c be ((-8)/20)/(3 - l/(-20)). Solve -6*q + c*q = -4 for q. 2 Let a(f) = f**2 - 3*f - 11. Let r be (36/(-15))/((-7)/(-210)*-8). Let h be a(r). Solve 44*t - h*t + 4 = 0 for t. -4 Let i(f) = -f**3 - 10*f**2 + f + 23. Let t be i(-10). Suppose 2*y - t*y = -3168. Let p be (y/(-120))/(2/(-5)). Solve p = 4*a - a for a. 2 Let f(l) = l**2 - 48*l + 365. Let n be f(8). Solve 0 = -n*d - 13 + 238 for d. 5 Suppose -20 = -0*p + 3*p + 5*r, -2*p - 4 = r. Suppose p = 26*g - 38*g. Solve g*x - 6 = 2*x for x. -3 Suppose -2*x = -5*o + 46, -4*x - o + 17 = -5*x. Let j = x + 18. Suppose -16*w + 33 = -j*w. Solve w*u - u = 4 for u. 2 Let w(b) = 2*b - 4. Let u be w(-4). Let g = -7 - u. Let s(l) = 3034*l - 133491. Let k be s(44). Solve -2*z + k = -g for z. 5 Suppose -94*q + 19498 + 29512 = -9552. Solve b - 617 + q = 0 for b. -6 Let k be ((-1)/((-3)/(-31)))/(9/(-54)). Let x = k + -62. Solve 5*h + 10 + 15 = x for h. -5 Suppose 3*a + 1558 = -3*p + 499, 4*a = -3*p - 1062. Let y = p - -350. Solve y = 3*n - 3 - 0 for n. 1 Let l be ((-2)/(-5))/(23/((-3105)/(-27))). Solve 10*p + 24 = l*p for p. -3 Suppose 2*f - 2*d - 2 = -0*d, 0 = 2*f - 4*d + 8. Let b(m) = 22*m**2 + 6*m - 7. Let q be b(1). Solve 0 = f*s - 9 - q for s. 5 Suppose 8*t = 3*t. Let w(s) = s**2 - 6*s - 5. Let g be w(7). Suppose 5*l = 48*c - 53*c, -5*l - c = -8. Solve t*k - g*k = l for k. -1 Let h(x) = -x**3 - 7*x**2 - 5*x + 2. Let p be h(-6). Let o be (-100)/6 - 3*12/(-54). Let r be (-8)/o*p/(-2). Solve -4*n + 5 = r for n. 1 Let p = -1 + 5. Let o be 0*p/(0 - -8). Suppose -4*g + 5*g - 3 = o. Solve -2*x + g + 7 = 0 for x. 5 Suppose -96*c - 113*c + 12*c = -6107. Solve -44*s = -13 - c for s. 1 Suppose 89 = -25*q + 14. Let s be 4 + 12/6 + q. Solve 11 = s*j - 4 for j. 5 Let d(g) = 129*g + 1296. Let m be d(-10). Solve m*u + 706 = 694 for u. -2 Let q = -421 - -415. Let s be (-1 - -2) + (q - -9 - 2). Solve s*c - 3*c = -1 for c. 1 Let a(k) = 2*k**2 - 54*k + 202. Let m be a(25). Solve 0 = 11*g + m - 124 for g. 2 Let x(r) = 6*r**2 + 9*r + 5. Let p be x(-2). Suppose 2 = -f, -5*n - 9*f + p*f + 54 = 0. Solve -4*y + n = y for y. 2 Suppose 3*s = -2*m - 2*s - 17, -2*m + s = -13. Suppose -4*u + 29*l - 27*l + 124 = 0, 3*u + m*l = 82. Solve u = -8*n + 2*n for n. -5 Suppose -3*c = 3*j - 171, 27 = 5*j - 5*c - 298. Let w = j + -55. Solve w*i - i + 20 = 0 for i. -4 Suppose 572 = -19*f - 5299. Let i = 309 + f. Suppose x + 2*h = 3*x - 10, -4*h - 14 = -2*x. Solve s = -i*s + x for s. 3 Suppose -j = -4*g + 40, 0 = -5*j + j + 16. Let s be 15/3 + -8 + 5. Suppose z = -s*z + 6. Solve z*h + 3 - g = 0 for h. 4 Suppose 0 = 57951*u - 57891*u - 660. Suppose -2*v - 3*s = -6, -3*v + v + 4*s = -6. Solve u = v*j - 1 for j. 4 Let k = -32 + 35. Let b(g) = 4*g**2 - 14 + 4*g**2 + 1 + 2*g - 7*g**2. Let c be b(k). Solve 0 = 2*r + 8 - c for r. -3 Let n(s) = -s**2 + 6*s - 7. Let w(f) = 2*f - 16. Let i be w(9). Suppose 5*g - 4*d + 1 = 0, 3*d = -i*g - 0*g + 18. Let l be n(g). Solve z = -0 + l for z. 2 Let b(t) = t**3 - 4*t - 12. Let a be b(4). Suppose 0 = 61*w - 86 - a. Solve 2*v + w + 2 = 0 for v. -2 Let h(k) = k**3 + 9*k**2 + 15*k + 7. Let p be h(-7). Let l be 4/(-6)*(p - 18/6). Solve -l*b - 20 = 3*b for b. -4 Suppose -2*d + 4*d = 4. Let u = 1857 + -1857. Solve d*p - 4*p + 2 = u for p. 1 Let b be 23/(-138)*-6 + 73. Solve 63*q = b*q + 55 for q. -5 Let u(h) = -h - 1. Let x(w) = -w**2 - 15*w - 24. Let v(k) = 6*u(k) - x(k). Suppose -9*n = -7*n + 14. Let d be v(n). Solve 12 = d*g - g for g. 4 Let m be ((-1)/(-1))/(18/(-126)). Let l(v) = -v**2 - 9*v + 12. Let p be l(m). Solve p*w + 2 = 27*w for w. 2 Suppose -4*z - 101 = -5*r, -4*z - 66 = -r + 3*r. Let o = -17 - z. Solve 1 + 5 = -o*f for f. -3 Let i = 401 - 372. Suppose 2*h = 34*g - i*g + 27, 3*h - g = 47. Solve -m = -5*m + h for m. 4 Let i = 180 + -146. Let c be (-5 + -5)/5*i/(-4). Solve -3*f + 8 = c for f. -3 Let n = -31 + 40. Let i be (-20)/30*n/(-2). Suppose -i*u = 2*u - u. Solve u = 2*t + 4 - 12 for t. 4 Suppose 209 = -2*a + 197. Let r(k) = 22*k + 136. Let x be r(a). Solve x*u = 1 + 3 for u. 1 Let c = 404 - 305. Suppose c - 94 = j. Solve n = j*n + 8 for n. -2 Let p = 1074 + -1048. Solve 12 = -7*a + p for a. 2 Suppose 0*w - 5*w - 1 = 2*x, 2*w - 8 = -5*x. Suppose 6*o = 32*o + 156. Let m be -2 + o/3 - -3 - -5. Solve 0 = -m*y + x*y for y. 0 Suppose 35 = 2*z - b,
{ "pile_set_name": "DM Mathematics" }
1 + 5)). 56 What is -10 + -53 + 13 + 120? 70 Calculate -9 + (8 - (-12 - -6)) - (1 - 35 - -1). 38 Evaluate (6 - 2 - (24 + -5 + -2)) + (17 - -39). 43 Calculate -10 - (4 - (-1 + -3) - (44 + 7)) - 3. 30 What is -20 + (44 - -13) + -54? -17 -2 - ((2 - -5) + (2 - 4) + -26) 19 -1 + 3 + (-1 - ((-5 - (15 + -7)) + 0)) 14 Calculate -41 - (12 - (12 + -14 + 9 - -1)). -45 Calculate -49 + 120 + -28 + 6. 49 What is the value of 4 + -9 + (13 - -2) + 2? 12 What is (-20 - ((-1 - 8) + (49 - 59))) + 3 + 1? 3 What is the value of (16 - (-31 + 63 + (-3 - 11))) + -67? -69 What is (5 - 0) + (-9 - (-27 + (-22 - -6) + 23))? 16 What is 9 + (1 - 2) - ((-40 - -27) + 72 - 46)? -5 59 + (-69 - 24 - -35) 1 What is -373 - -439 - (10 + 53)? 3 What is (11 - 0) + -157 + 166 - (-3 - 8)? 31 Calculate 6 - (-65 + 15 + (18 - 26)). 64 What is -11 + 28 + (-1 - (-12 - 2 - 60))? 90 Evaluate (-15 - 3 - (277 + -279)) + -5. -21 What is the value of (2037 - 2100) + -1 + -38? -102 Evaluate (-15 - (68 + -17)) + (10 - 10 - (10 + 1)). -77 Evaluate (0 - -2) + (-298 - -283) - -20. 7 Evaluate 67 + -112 + (-6 + 11 + -6 - 4). -50 Calculate -10 - 7 - (-31 + 3 + 11) - 54. -54 Evaluate -10 + 23 + (99 + 0 - 0 - (-149 - -151)). 110 -3 + (4 - ((8 - (3 - 3)) + 51 + -66)) 8 Evaluate (-11 - -10) + 14 + (22 - (-13 - -5)). 43 Evaluate 28 - (-67 + 94) - (-5 - (1 + -70)). -63 Calculate -9 + (75 - (123 - 59)). 2 What is 19 - (16 - 18 - -4) - -2? 19 What is the value of (3 - 53 - (-42 + 50)) + 2 + 7? -49 Calculate 157 - (20 + -62 + 50 + (16 - 1)). 134 What is the value of -14 + 0 - (646 + -654) - (1 + -13)? 6 What is 2 - (-38 - (18 + -16))? 42 What is the value of 0 + -64 + 7838 + -7795? -21 Evaluate -3 - (-6 - (158 - 13)) - (-5 - 1 - -13). 141 What is the value of (20 + 8 + -31 - (7 + -11)) + (-2 - 6)? -7 What is -225 + 166 - (3 + 5 - 25)? -42 What is (-82 + 168 - -22) + -4 + -39? 65 Calculate (10 + -23 + -8 + 29 - 25) + -7. -24 What is the value of 0 + -38 - (5 + 8 - ((31 - 38) + 22))? -36 Calculate (-58 - -25 - -5) + 41. 13 Evaluate -4 + -29 + 12 - -83. 62 Calculate (-12 - (-1 + -57 - 20)) + -22. 44 Evaluate -82 - (0 + 8 + (4 - 3) - (-1323 - -1340)). -74 Evaluate -17 + -18 + 4 + 15 + (73 - (-5 + 2)). 60 Evaluate -61 + -159 + 118 - -100. -2 Calculate -7 + (77 + -89 - (4 - 0)). -23 -5 + (14 - 14 - -12) - 10 - 98 -101 1 + -45 + (32 + -44 + 23 - 23) -56 Calculate (390 - 183) + (-28 - 107). 72 Evaluate 10 + 9 + -11 - (-42 + 56) - -21. 15 Evaluate (-1448 - -1346) + 9 + 10. -83 What is (14 - (-7 + 9 + 1 + 5)) + -11? -5 Calculate 476 - 435 - (7 + -5 + 20). 19 What is 8 - (2 + 24) - (-11 + 90 + 1)? -98 Calculate 1 + 9 - ((-53 - 37) + 31 + -26). 95 72 + -90 + (-23 - -42) 1 Calculate 84 - 6 - ((-8 - -3) + -4 + 4) - 7. 76 Evaluate -6 + (0 - 9) + (-38 - -42 - -5) - -105. 99 What is -49 + 44 - ((-3 - 2) + (33 - -28))? -61 What is 18 + -2 + 141 + -151 - 23? -17 What is -1 - (21 + (24 + -14 - (4 - 1)))? -29 What is the value of -47 - (-21 + 68) - (16 - -5)? -115 1 - (49 - (2 - -10)) - (-5 + 12) -43 (-58 - -28 - (-10 + 17 - 10)) + -3 -30 Evaluate -161 + 47 + 25 + 1. -88 Evaluate 1 + -29 + (-275 - -347) - -47. 91 Evaluate (-48 - -48) + (18 - (14 + -15)). 19 What is 8 + -9 - (-4 - (-7 + 10)) - -8? 14 Calculate 555 + -542 + 6 + -2 + (-69 - -1). -51 What is 49 + (-3 - -2) + 20 + -37? 31 What is the value of 5 + (6 + (-17 - 4) - 54) + 6? -58 Evaluate 76 - 51 - 38 - (3 + 2 + -40). 22 What is the value of -91 - (13 + 120 - 104)? -120 Evaluate (-22 - -19) + (-8 - (-22 + -2)) - -31. 44 Evaluate 10 - (-3 + (10 - 7) + (-7 - -17)). 0 What is 8 - (11 + 0 + -26 + 29) - (1 - 50)? 43 What is -2 + 11 + 132 + (154 - 164)? 131 Calculate 27 - (9 - -13 - 50 - -53). 2 Evaluate (-14 - (17 - 45)) + -18 - (3 - (26 + -1)). 18 What is -24 + (-27 - (-32 - -13)) + 6 + 1? -25 2 + (-11 - (0 + 0)) - (-25 - (-2 - -41)) 55 What is -65 - (30 - (9 + 26) - (0 + -7) - -7)? -74 (20 - (143 + -280)) + -29 128 What is the value of 90 - (-17 + -3 + 28 - (-1 - 3))? 78 Evaluate -31 + 19 + 32 + (-15 + 4 - -1). 10 Evaluate -15 + 1 + (127 - 49) + -55. 9 -405 + 387 - (-65 + 10) 37 Calculate 1 - ((-33 - -23) + -17 + -1). 29 (-5 - (-10 + 46) - 9) + (-4 - -11) -43 What is -81 - 4 - (44 + -162)? 33 What is -10 + (-44 - -30 - -40)? 16 Evaluate -160 + 57 + (-1 - -9) + (-1 - -17). -79 (-17 + 19 - 12) + -4 + -9 + 129 106 Evaluate -94 - (8 + ((-85 - -78) + (3 - -2) - -5)). -105 What is the value of 6 + -30 + 65 + -72 - (-2 + -2)? -27 11 + (-16 + 136 + 3 + -2 - 8) 124 What is -50 + 15 + -31 - 3 - -16 - 1? -54 Evaluate -1 + (-1 - (-4 - -14)) + 67 + 8 + 1. 64 What is the value of -18 + 21 - (-25 - -20) - (80 + 4 - 0)? -76 8 - (-11 + -22 - (-13 + 17 + -7)) 38 20 + (-49 - (-18 + -11)) + -14 -14 What is -5 - -1 - (-879 - -853) - -80? 102 Calculate -48 + 91 - (12 + (-3 - -5)). 29 What is the value of (62 + -15 + -4 - 19) + -55? -31 Calculate -3 + (5 - 2) + 0 + -1 - (-2637 + 2656). -20 Calculate -8 + 0 + ((4 - -7) + -22 + 45 - -8). 34 Calculate -4 + (-16 - -1) - 76 - (-3 + -11). -81 Evaluate (-13 - 6) + -236 + 264. 9 Calculate (-93 - (-25 + -64)) + -1 + -15. -20 2 - 0 - (-1046 + 1065) -17 Calculate -545 + 519 - ((-4 - -5) + -36). 9 Evaluate 175 + -97 + -52 + 36. 62 -26 - (-16 + -5 - (-59 + 58)) -6 11 - (58 + -8) - -13 - (-18 - -4) - -18 6 Calculate (-96 - -46 - 3) + -24. -77 -25 + (42 - (2 - 11)) - 3 23 What is (6 - 108) + -115 + 70 + 54? -93 7 + -1 + (-2 - (5 - 15)) - -21 35 What is -8 + (5 - -2) - (-5 - -7) - -60? 57 30 - (59 - (10 + 2)) - 3 -20 Calculate -99 + 0 + (-14 - -74). -39 Calculate -3 + -12 + 29 + -16 + 5. 3 Calculate -1 + 3 + 2 + 41 + -24 + -57. -36 0 - -11 - (-84 - 2 - (-129 - -122) - -12) 78 34 + (-40 - (112 + -51)) -67 What is the value of -19227 - -19271 - ((-2 - 17) + -1)? 64 Evaluate 52 + -33 - (-10 + (4 - -6)). 19 -10 - 44 - (1 - -17 - (-124 - -160)) -36 3 - 69 - 1 - (24 - (56 + -41 + 22)) -54 What is the value of 58 - (3 - 3) - ((120 - 63) + -50)? 51 Evaluate (-21 + 26 + -55 - -4) + 8. -38 Calculate (-4 - ((70 - 3) + -9)) + 17 + -30. -75 Calculate (7 - 9) + (-1 + 4 - (-54 + 56)) + 10. 9 What is (15 - (3 + -21 - -17)) + 71 + -13? 74 What is 9 + -21 + 18 + -23 + -9? -26 Calculate 7 - (6 + (-12 - -11) - (-3 - (-3 + -15))). 17 What is the value of -2 + -195 + (-1001 - -1106)? -92 What is the value of -6 + (-2 - -2) - ((20 - 0) + (-764 - -746))? -8 What is the value of ((22 - 12) + -12 - -2) + -6 + 2 + 4? 0 12 + (10 - (4 - (43 + 2)) - -18) 81 Calculate 5 + 0 + -7 + 32 + -12 + 3. 21 -9 - 1 - (2 + -3 - (-14 - -12)) - -4 -7 -95 - (-73 - -99 - 95) -26 Evaluate -6 + -2 + -4 + -468 + 493. 13 234 - 26 - (-77 + 188) 97 What is 7 + 3 - (-27 - (-139 + 194))? 92 -163 + 173 - (45 + -4) -31 What is the value of 1 - -24 - 80 - -6? -49 (-2 - 7) + (-21 - (6 - 31)) + -1 + -69 -75 Evaluate 10 - (13 - -104) - -56. -51 What is the value of 11707 + -11822 + (80 - 0)? -35 Evaluate (-6 - 17 - 9) + -10. -42 -510 + 539 - ((3 - (0 - -1)) + 3) 24 What is the value of 6 + (0 - 3) + (25 - 46 - -63)? 45 What is (0 - 1) + (-1 - (2 - -25) - 14)? -43 What is the value of -46 - -50 - (-49 + (7 - (4 - -9)))? 59 Evaluate 0 + 22 - ((38 - 23) + 7). 0 What is -26 - -1 - (949 - 982) - 82? -74 What is (-19 + -1 - (537 + -556) - (0 + -6)) + 9? 14 43 + 64 + -45 + -27 35 1 + 13 + (-1 + 19 - 46) -14 What is the value of (4998 - 4989) + (-21 - (2 + 2 + -5))? -11 What is the value of -2812 - -2770 - (0 + -62)? 20 -41 + -49 + (40 - -15) + (1 - (1 + 1)) -36 6 + -7 + 1 + (-13 - 18) - 10 -41 Evaluate -7 - (2 - -2) - (-22 + -5 + 13). 3 Evaluate -45 + 24 + -8 - -28. -1 What is the value of (-65 - (-113 + 69)) + -27? -48 Evaluate -31 + (17 - ((4 - 14) + 19 - -1)). -24 What is 95 + (5 - 118) + 54? 36 What is the value of 3 - -83 - (-7 - (-2 + 6 + 2))? 99 (11 - 2) + (20 + -14 - (6 + 3)) + 12 18 Evaluate 35 + -10 + -18 + 32. 39 -10 - (-3 + (-11 - (20 - 8)) + 11) 5 (10 - (-35 + 26)) + (33 - 57) -5 (18 - 0 - (-8 + 12)) + (429 - 396) 47 What is the value of (2 - 34) + (19 - (-38 - -53))? -28 What is (-7 - ((2 - -4) + -6)) + 7 - (13 + -60)? 47 Calculate 6 - (1 - -14) - (88 + -65). -32 Evaluate (40 - -3) + -4 + -1 + 2 + 40 + -29. 51 What is the value of 9 + (24 - (27 + -44) - 178)? -128 25 + 23 + (-29 - -12) + 9 + 4 44 Evaluate (42 - (21 + -34) - -26) + -15. 66 Calculate (0 - -10 - 1) + -1 + 13 + (43 - 66). -2 What is 8 + (-23 - (-17 -
{ "pile_set_name": "DM Mathematics" }
4 - j). 4 Let f = 971/14 + -832/7. Let h be (1 + 2430/25)/(-3). Let b = h + 79/3. Calculate the common denominator of f and b. 10 Let v(j) = 35536809*j - 3. Let a be v(-6). Let i = a - -32835887281/154. Let o = i + 5648/7. Find the common denominator of -5/12 and o. 132 Suppose 44*a - 46 = 42*a. Let h = 28 - a. Suppose -4*d = h*y - 18 - 17, y - 19 = -2*d. Calculate the lowest common multiple of d and 14. 70 Let f = -13 - -15. What is the common denominator of ((1245/(-20))/3)/(1/f) and -83/18? 18 Suppose 0 = 11*n + 39 + 93. Let g be (-43 - -2)/1 + 1. What is the common denominator of (108/g)/(n/(-45)) and -65/18? 72 Suppose 16*j + 21 = 19*j. Let n = j - -43. Calculate the smallest common multiple of 4 and n. 100 Let u = -32 + 26. Calculate the lowest common multiple of 16 and 6/36 + (-83)/u. 112 Let g = 1898/955 + 54638511/7640. Let q = g - 7143. Calculate the common denominator of 1/6 and q. 24 Let s be ((-14)/525)/((-4)/(-4285)). Let r = 236/15 + s. Find the common denominator of r and 47/22. 66 Let v = 287227487/828 - 346893. Let l = v + 126959/4140. Let n = l + -95/3. Find the common denominator of -4/3 and n. 30 Calculate the common denominator of 40/51 and (-2)/(-14)*((-76)/(-6))/(-2). 357 Let g(s) = s + 8. What is the least common multiple of 26 and g(12)? 260 Let q(n) = 7*n + 4*n - 6 - 8*n. Let b be q(3). Suppose 3*h + 3*v - 27 = 0, -h + 15 = b*v - 8*v. What is the lowest common multiple of 8 and h? 40 Let i = -13961/1704 - -206/71. What is the common denominator of i and ((-88)/25)/(4/(-10))? 120 Let m(f) = -2*f**2 + 24*f - 52. Let l(y) = 7*y**2 - y. Calculate the least common multiple of l(1) and m(3). 6 Let m = -747770693/856 - -873564. Let u = -2/107 - m. Let g = 3/8 - u. What is the common denominator of g and 59/9? 18 Suppose -3*f + 2*n - 32 = -82, -3*n = -5*f + 85. Let p be 4/(-5)*f/(-2). Let l = 24 - p. Calculate the lowest common multiple of l and 20. 80 Let b = 11621 - 138991/12. Let p = b + -62/3. What is the common denominator of 49/8 and p? 8 Calculate the smallest common multiple of 90 and ((-2380)/8)/(-7)*4/5. 1530 Let c be (8/(-12))/(1/22065). Let n be ((-21031)/2)/((-5)/7). Let f = c + n. Find the common denominator of f and 119/10. 10 Let f = -17 + 20. Suppose -3*k - c - f*c = -2, c + 9 = 4*k. Calculate the least common multiple of k and (-1)/(2/(-48)*2). 12 Suppose 0 = 2*p - 5*k + 12, -3*p = 2*k + 9 - 29. Let z(x) = x - 3. Let j be z(p). Calculate the common denominator of j/(-6)*710/15 and -32. 9 Let o = -25765 + 173965279/6752. Let q = 82715/20256 + o. Calculate the common denominator of q and 26/25. 300 Let w = -98 - -142. What is the least common multiple of w and 88? 88 Let h = -43481/16176 - -1/2022. Find the common denominator of h and -39/622. 4976 Let q be 112518/(-8) - 1/4. Let f = 253093/18 + q. Let w = 7814/7 - 141457/126. Calculate the common denominator of f and w. 18 Let g be 6/((-6)/3)*7. Calculate the common denominator of -35/6 and g/7 + -3*13/(-4). 12 Suppose -l + 8 = g, -l - 23 = -4*g - 2*l. Calculate the least common multiple of (24/(-10))/((-216)/810) and g. 45 Suppose -5*j + 270 = 4*j. Calculate the least common multiple of 45 and j. 90 Let t = -9470 + 5623. Let u = t + 2522. What is the common denominator of u/(-330) - 4/22 and 145/18? 18 Suppose -3*q + 6 = -5*q. Let i = 2/281 - -11493/3934. Calculate the common denominator of i and 21/14 - 10/q. 42 Let c(y) = 7 + 6 + 5 + 1 + y. Let n(u) = -u**2 + 8*u + 4. Calculate the least common multiple of n(7) and c(-14). 55 Let k be (-5)/(-15) - (-32)/15. Let t = -2471651/16080 - -21539/134. Let q = k - t. Find the common denominator of q and -127/6. 48 Calculate the common denominator of (-118)/42 + (0 - 1/2) and -41/77. 462 Calculate the common denominator of 55/96 and (103/3)/((-7 - -77)/5). 672 Let s = 793 - 681. Calculate the lowest common multiple of 32 and s. 224 Suppose -3*s + 13 = -4*g, -3*g + 0*s = s. Let f(b) = -32*b**3 + b**2 - b - 1. Let n be f(g). What is the common denominator of -37/2 and -8*(-2 + n/21)? 14 Let n = -392 + 413. Calculate the least common multiple of n and 14. 42 Let o = -44 - -33. What is the smallest common multiple of 9 and 2*(0 - o/2)? 99 Let s = -2866 - -2872. Suppose 0 = -0*b - b + 5. Suppose 4 = r, n + b*r - 19 = 2*n. What is the lowest common multiple of s and n? 6 Let u(d) = 9*d**2 + 5*d + 8. Calculate the lowest common multiple of u(-2) and 8. 136 Suppose -2*y + 2*r = r + 324, -4*r = 16. Calculate the common denominator of y/21 - (-2)/3 and 32/11. 77 Let d = 120005/24 - 5002. Calculate the common denominator of 97/198 and d. 792 What is the smallest common multiple of (-1*2)/(-2) + 1 and 18 - (6/(-51) - (-22)/187)? 18 Suppose -5*a - 3 = -18. What is the smallest common multiple of a and 305? 915 Let y(w) = w**2 - 10*w - 1. Let a be y(11). Let f = 27 - a. Suppose 5*i + 2 = f. Calculate the smallest common multiple of 10 and i. 30 Suppose 3*d + 3*i - 16 = 8, -40 = -4*d + 4*i. Suppose d*q - 33 = -6. Calculate the lowest common multiple of 1 and q. 3 Let j = -9/50 + 2/25. Let x = -285 + 1727/6. Calculate the common denominator of j and x. 30 Find the common denominator of 17/48 and (41*3/(-20))/((-120)/40). 240 Let d = 0 - -3. Let j(t) be the third derivative of -t**6/120 - t**4/24 - t**3/6 - 16*t**2. Calculate the smallest common multiple of d and j(-1). 3 Suppose 3*o - 1 = 8. Suppose o*d + 0*d - 24 = 0. Calculate the smallest common multiple of 36 and d. 72 Suppose -4*f + 0*n = 4*n + 20, 4*n + 18 = -3*f. Find the common denominator of 92/18*(-1)/f and -27/2. 18 Let o = 4/13171 - 1014743/1896624. Calculate the common denominator of -11/138 and o. 3312 Let d(i) = 18*i - 52. Calculate the least common multiple of 48 and d(10). 384 Let z = -791 + 794. Calculate the smallest common multiple of z and 381. 381 Suppose 18 = -2*x + 3*x. Suppose -9*l = -6*l - x. Calculate the lowest common multiple of 8 and (-2 - 3)/(l/(-24)). 40 Let a = 51871/20 + -2591. Let g = 7 - 3. Find the common denominator of a and (g/6*19)/12. 180 What is the lowest common multiple of 70/2 - (3 + (5 - 9)) and 32? 288 Let y = -2 + 29. Let k(q) = q + 18. What is the least common multiple of k(-11) and y? 189 Calculate the common denominator of -89/18 and -2*(-203)/(-49) + 4. 126 Suppose -5 = u - 7. Find the common denominator of -56/3 and ((-40)/75)/(((-6)/u)/(-21)). 15 Find the common denominator of (22 - 15) + (-6558)/840 and -101/190. 2660 Let n = 206 + -105. Suppose -4*d + n = 805. Find the common denominator of (-8)/44 - (-1134)/d and -32/11. 88 Let o = -358337/1531647 - -1/26871. Calculate the common denominator of 119/24 and o. 1368 Suppose 0 = -v + 4*b - 12, 5*v - 5*b + 10 + 5 = 0. Suppose v = -x - 7. Let g = x - -21. What is the least common multiple of 2 and g? 14 Let j = -23 - -135. Suppose 2*l = -5*l + j. Calculate the lowest common multiple of l and 94. 752 Let f be (-8 - -10)*(2 + 655/(-8)). Let h = -6035/36 - f. Find the common denominator of h and -24/31. 279 Suppose 0 = 3*c + 2*d - 9, -c + 3 = 5*d. Suppose -5*k = -p + 3415, -p + 2049 = -c*k - 3*p. Let l = k - -1307/2. What is the common denominator of 113/24 and l? 24 Suppose 3*g = 763 - 223. Suppose n + g = 6*n. Calculate the least common multiple of n and 2. 36 Let w = -266 - -167. What is the lowest common multiple of ((-2)/(-1))/((-6)/w) and 6? 66 Let l = -25/1774 - -44139/173852. Find the common denominator of -73/84 and l. 588 Let b(h) = h + 7. Calculate the lowest common multiple of b(5) and 20. 60 Let c(b) = b**2 + 8*b + 11. Let k be 2 + 2/((-2)/1). Let p be k/2 + 152/(-16). Find the common denominator of c(p) and 9/7. 7 Suppose -4*c + 2*c + 5*n + 27 = 0, -3*c - 4*n + 29 = 0. Calculate the least common multiple of c and 15. 165 Suppose -2*u - 7*u - 1350 = 0. Find the common denominator of 755/u + (2/(-1))/4 and 61/27. 135 Suppose 28*c - 1380 = 5*c. What is the lowest common multiple of 48 and c? 240 Let s(y) = y**3 + 16*y**2 + 17*y + 51. What is the lowest common multiple of 238 and s(-15)? 714 Let f = 118 + -859/7. What is the common denominator of f and -80/21? 21 Let y = 12533/9240 + 1/1320. Let k = 170/9 + -211/12. What is the common denominator of y and k? 252 What is the least common multiple of 4*4/8 - -6 and (-1 - -8)*(-100)/(-70)? 40 Let s be 2/8 - 1036/3952. Let
{ "pile_set_name": "DM Mathematics" }
et l = -2 + 2.5. Which is the nearest to m? (a) 42 (b) l (c) -4/5 b Let m = -0.11 - -0.24. What is the nearest to m in -3, -2, 4? -2 Let z = -11/4 + 31/12. Let f = 55 - 53. What is the nearest to 0.1 in f, 1, z? z Let i = 19/33 - -1/11. Let o be (-28)/(-98) + (-8)/(-21). Which is the nearest to o? (a) 5 (b) -0.2 (c) i c Let i = 0.456 - 0.056. What is the nearest to -0.2 in i, 0, 0.2? 0 Let f = -703/5 - -141. Let g = -5 - -4.8. Which is the closest to 1? (a) g (b) -3 (c) f c Let z(d) = 4*d**3 - d**2 + 6*d + 5. Let j be z(-3). Let w = 1299/10 + j. Which is the nearest to -1/2? (a) -1/4 (b) 0.1 (c) w a Let l = -1.7 - -0.7. Which is the nearest to l? (a) -5 (b) 1 (c) 2/21 c Let o be (-1 - (-7)/4) + (-2553)/1932. Which is the nearest to 2/9? (a) o (b) -2/5 (c) -4 (d) -32 b Let n be (-6)/(-14)*(8 - 47/6). What is the nearest to 0 in 1/8, -2, 0.1, n? n Suppose -62*g - 22 = -64*g. What is the nearest to 1/3 in 0, -1/7, -0.4, g? 0 Let g = 24.55 - 24.45. Which is the nearest to 1? (a) -0.1 (b) 4 (c) -1 (d) g d Let i = -0.3 + 0.2. Let m = -1892.6 - -1893. What is the closest to -2 in 0.3, i, m? i Let s = -1546 - -1550. Which is the closest to -25? (a) 0.1 (b) -5 (c) 0.3 (d) s b Let f = 138 - 148. Let b be 40/75 - 4/30. What is the nearest to -3/5 in 4, b, f? b Let i = -80.7 - -81. Let f = -8 - -17. Suppose 0 = -2*q + l + 6, -3*l + f = 3*q - 2*l. Which is the nearest to 1/2? (a) q (b) i (c) -0.2 b Let k be (1 - -1)/(0 + 5). Let p = 11/5 + -12/5. Which is the closest to -1/6? (a) p (b) 0 (c) k a Let l = -947 + 947.2. Let r = -6 - -6.3. Let d = r - 0.2. Which is the nearest to d? (a) -0.3 (b) 4 (c) l c Suppose -4*c + 3*c - 5*b = -19, 3*b + 21 = 3*c. What is the nearest to 1 in -0.4, c, -3, 4/3? 4/3 Suppose -2*r + 3*n = -4, -5*r + 4*n - 7 = -3. Which is the closest to -3? (a) -0.5 (b) -0.1 (c) r c Let j = 9.94 - 10. Which is the nearest to j? (a) 1/5 (b) -2/15 (c) 4 b Let k be 0 + 99/(-12) + 0. Let g = 8 + k. What is the closest to -0.2 in g, 1/9, 5? g Let l be (-33)/7 - (8/2 - 9). What is the nearest to l in -1, -2/13, 0? 0 Let r be (1 + (-1)/1)/(-2). Let u = 1066 + -1070. Let i be u + r - 400/(-96). Which is the nearest to 2? (a) 0.2 (b) i (c) -4/3 a Let w = -107/3 + 36. Let d = 19.9 + -19. Let k = -1.2 + d. What is the nearest to w in 2, -2/3, k? k Let v = 0.3609 + -0.0609. Let x = 2992/13 + -230. Which is the closest to -6? (a) 5/2 (b) x (c) v b Let l = 181 + -183. Which is the closest to l? (a) -1 (b) -2 (c) -4 (d) 2 b Let l be (-7)/((4 - 8)/4). Let f(u) = -u**3 + 6*u**2 + 10*u - 17. Let j be f(l). Which is the nearest to j? (a) 1 (b) -3/5 (c) -0.1 a Suppose 22 = 6*f - 2*f + 3*l, -f - l + 6 = 0. Which is the nearest to 1/3? (a) 0.1 (b) 5 (c) f a Let d(z) = 3*z**2 + 13*z + 5. Let l be d(-5). Let i be ((-12)/(-195))/((-6)/l). What is the nearest to -0.2 in -5/3, i, -2? i Suppose 71*i - 43 = 241. Which is the closest to 0.3? (a) -4 (b) 2/17 (c) i b Let j = 559 + -561. What is the nearest to 2 in j, -4/3, 0? 0 Suppose -3*i + 24 = 33*t - 30*t, 0 = -t - 3*i + 18. Let k be (0 + -1)*4/(-16). Let d be 4/6 + 0 + -1. Which is the closest to d? (a) 0.5 (b) t (c) k c Let h = 274 - 270. What is the nearest to -9/2 in 5, -5, h? -5 Let o = 3.3 + -3.51. Let f = o + 0.43. Let p = 0.02 - f. Which is the closest to 0? (a) p (b) -4 (c) 2/11 c Let s = 1 + -22.8. Let o = s - -22. Which is the nearest to o? (a) 0.2 (b) 2 (c) -2/9 a Let b be -10 + -9*(-40)/72. Let f = -3 + 7. What is the closest to -1/41 in 0.1, f, b? 0.1 Suppose -6 = 3*d, -2*f + 17 = f + 5*d. Let z be (-6)/(-28)*(-12)/f. Suppose 4*p - 2*l = -0*l + 6, 0 = 5*p - 3*l - 7. What is the nearest to z in p, -2, 0.3? 0.3 Suppose -96 = -0*a + 2*a. Let k be -7 - -4 - a/14. Let o be 6/9 + (-5)/(-15). What is the nearest to o in -0.5, k, -0.1? k Let k be ((-16)/24)/((-1)/18). Let f be (-1)/k - 1/4. Which is the closest to -2? (a) -0.1 (b) f (c) 2 b Suppose 0 = 5*p - 5*l + 5, -3*p + 1 = -5*l + 2. Which is the nearest to -3/4? (a) 3 (b) p (c) 2 b Let i be ((-1)/4)/((-1)/4). Let o = 34 - 35. What is the nearest to o in i, 5, 5/3? i Let s = 517 + -516. What is the closest to s in 0.05, -0.4, -5, 0.4? 0.4 Let c be 1 + -2 - 8/(-16). Let z = 62 + -61. What is the nearest to z in -10, c, -0.3? -0.3 Let s = 0.0504 - -0.3496. Let q be 1 - (-29)/(-14) - -1. Which is the nearest to q? (a) -0.2 (b) -1 (c) s a Suppose 43 = -54*w - 227. What is the nearest to 1.2 in 0.1, -11, w, -1? 0.1 Let j = 46 + -45.8. Let c(y) = 5*y**3 - 2*y - 1. Let t be c(-1). Let x = t - -7. What is the nearest to 0.1 in x, -4/5, j? j Let x be (-1)/((-10)/8)*1*10/(-4). Let g = 3 + -2. Which is the nearest to g? (a) x (b) -2/7 (c) 2 c Suppose 4*w - 5*w = 0. Let l = 1 - w. Let j = -2.057 + 1.557. What is the nearest to l in j, -5, 3/4? 3/4 Suppose -4*v - 7 = -5*x - 2, -3*x = -v - 3. Let b = -107/1074 - 12/179. What is the closest to 0.1 in b, 0.1, v? 0.1 Let q be 1 - -2 - (-55)/(-10). Let n = -1.0374 - -0.0374. Which is the closest to n? (a) -0.1 (b) q (c) -2/7 c Let g = 27/5 + -194/35. Let n = -749 + 749.1. Which is the closest to 0? (a) 0 (b) n (c) g a Suppose 7 = -4*m - 3*i, 3*m - 2*i = 6 + 10. Let d = -0.7 + -0.3. Let w = 208/7 - 395/14. Which is the nearest to m? (a) d (b) w (c) -1/4 b Let s = -811 + 808. What is the closest to 1/2 in s, -1, 0, -98? 0 Let f = 466/85 + -28/5. Which is the closest to -7? (a) f (b) 5 (c) -1/4 c Let u = 582 + -589. What is the nearest to 2/7 in u, -1, 0.01? 0.01 Let z be 12/(-3)*(-54)/288. Which is the closest to -19? (a) 0.2 (b) 0.01 (c) z (d) -0.4 d Let j = 2 + -4. Let i = -3 - j. Let a = -341 - -339. What is the closest to i in 2/3, a, -5? a Let x = -17 - -22. Suppose 3*d = x*o + 92, -4*d - 5*o = -73 - 3. What is the closest to -1/4 in d, -0.4, -1? -0.4 Let n = 378/5 + -75. Let f(t) = -2*t**2 - 25*t + 13. Let g be f(-13). Let s = -2.9 - -3. Which is the nearest to s? (a) n (b) -5 (c) g c Let u = -122 - -119. Let o = 4 + -4.3. Let b = -2/227 + -667/1589. What is the nearest to u in 3, b, o? b Let u = 1.85 - 2.15. Which is the nearest to 2/5? (a) u (b) -6 (c) 6 a Let u = 82.069 + -82. Let t = 4.931 + u. Let h = 0.5 + -4.5. What is the nearest to 0 in t, h, 1/2? 1/2 Let t = -10 + -3. Let o = t + -2. Let q = 11 + o. What is the nearest to -0.1 in -3, q, 2/3? 2/3 Let h = 2.28 + -2.88. Which is the closest to -1/2? (a) -2 (b) -11 (c) h (d) 0 c Let s(w) = -w**3 - 5*w**2 + 16*w + 6. Let z be s(-7). Which is the nearest to 1? (a) z (b) -4 (c) -2 c Let d be ((-108)/(-135))/(2/2)*-5. What is the nearest to 2/5 in d, 2/7, -14? 2/7 Let y = -237.7 + 238. Let n = 3.14 + -0.14. Which is the nearest to n? (a) 5/3 (b) y (c) -5 a Suppose -8 = 12*n + 4. Which is the closest to n? (a) 0 (b) -2/5 (c) 1/26 b Let v be ((-2)/(-20)*-1)/((-4)/(-10)). Let l = -44 + 44. Suppose 5*h = 5, -4*f - h - 5 = -18. Which is the nearest to l? (a) f (b) v (c) -2/7 b Suppose 2 + 2 = 2*l. Let b be 6 - -1*(-5 + -2 - -5). What is the nearest to l in 3, -0.4, b? 3 Let i be ((-4)/(-10))/((-6)/(-10)). Let k = 47 + -49. Let l = -26 - -22. What is the nearest to i in k, l, 4? k Let s(g) = -2*g**2 + 10*g - 4. Let m be s(4). What is the closest to -2 in m, 1, 8, -0.4? -0.4 Let z = 0.47 - 0.77. What is the closest to 0.3 in z, 3/4, -9/7, -2? 3/4 Let l = 328.4 + -328. Let j = -28 + 26.1. Which is the closest to j? (a) -1/4 (b) 1/3 (c) l a Let p = -76 - -75.7. What is the closest to -3/7 in -5, -0.04, p? p Let o = -233 + 1393/6. Let j(l) = l - 6. Let r be j(6). Which is the closest to 1? (a) 1 (b) o (c) r a Let p(n) = -n**2 + 19*n - 48. Let x be p(16). Which is the nearest to x? (a) -0.5 (b) -4/3 (c) 2/13 (d) 0.2 c Let m = 1.3 - -3.7. Let b = -8.165 - -8.565. Suppose 4*l + l = 5. What is the closest to 1 in b, l, m? l Let l = -0.329 - -156.329. Let u = -156.3 + l. Let k be 6/(-10)*(-4)/(-6). What is the closest to -1 in -1/4, k, u? k Let l = 50 - 26. Let r = l + -23.93. What is the nearest to 1 in 1, 0, r? 1 Let o(k) = -7*k + 34. Let d be o(6). Let c be (d/18)/((-1)/(-3)). What is the closest to -0.2 in -1/8, 4, c? -1/8 Let g = 3 + -5. Let j = 2804 + -2804.2. Which is the nearest to -2? (a) -4 (b) j (c) g c Let l = -2.58 + 1.18. Let d = 439/9 -
{ "pile_set_name": "DM Mathematics" }
3 - 5*c**3*n**2 + 11*c**3 - 387 wrt n? 47700*c**3*n**2 - 10*c**3*n What is the second derivative of -16*j**2*q**2 + 6*j**2 - 6*j*q - 17654*q**2 + 104*q - 29 wrt q? -32*j**2 - 35308 Find the third derivative of -2*a**6 - a**5 - 19204*a**3 - 311548*a**2 wrt a. -240*a**3 - 60*a**2 - 115224 Find the third derivative of 616*d**6 + 49*d**4 - 32867*d**2. 73920*d**3 + 1176*d What is the third derivative of 456*c**3*p**3 - 10*c**3*p - 17*c**2*p**3 + 195*c*p**3 wrt c? 2736*p**3 - 60*p Find the third derivative of -1099*l*r*s**4 - 2*l*r - 5*l*s**2 + 2403*r*s + 5*s**6 wrt s. -26376*l*r*s + 600*s**3 What is the third derivative of -84340*i**4 + i**3 + 1603*i**2 - i - 4 wrt i? -2024160*i + 6 Find the second derivative of 1064803*b**2 - 126*b + 2916. 2129606 What is the second derivative of 88268*d*g**2*s**2 + d*g**2*s + d*g*s - d*g + 2*d - 68990*s**2 wrt g? 176536*d*s**2 + 2*d*s What is the second derivative of -309073*a**4 + 82389*a + 2 wrt a? -3708876*a**2 What is the third derivative of 57534*g**3 + 1445866*g**2 wrt g? 345204 What is the derivative of 147*p**3 - 3650*p*z + 318642*z wrt p? 441*p**2 - 3650*z What is the derivative of -5245*h**3 - h**2 - 72443 wrt h? -15735*h**2 - 2*h What is the second derivative of 4*l**3 - 4951*l**2 - 242249*l? 24*l - 9902 Find the second derivative of 16*k**4 - k**3 + 573*k**2 + 58536*k. 192*k**2 - 6*k + 1146 Find the second derivative of 13*f**5 - 6087*f**4*m + 19*f - 949*m wrt f. 260*f**3 - 73044*f**2*m Differentiate -55605*c + 25326 wrt c. -55605 Find the first derivative of 759*n**2 - 15*n + 84363 wrt n. 1518*n - 15 What is the third derivative of p*z**5 - 171859*p*z**4 + 5*p*z - 71*p + 3*z**2 - 9 wrt z? 60*p*z**2 - 4124616*p*z Differentiate 307003*g*s + 18384*s wrt g. 307003*s What is the third derivative of 98742*i**3 - 1127213*i**2 wrt i? 592452 What is the second derivative of -110938*g**3*u**2 + 9*g**3 - g**2 + 51*g + 40*u wrt u? -221876*g**3 Find the second derivative of 17317*y**2 - 70532*y wrt y. 34634 What is the derivative of 16*g*i + 378641*g - 1098*i wrt i? 16*g - 1098 Differentiate c**2*o**3 - 63*c**2*o**2 - 60*c**2*s - 72*o**3*s + 7*o**3 + 3*o*s with respect to s. -60*c**2 - 72*o**3 + 3*o Differentiate -3*s*t*y**2 - 8185*s*y**2 - 58*t*y**2 - 6*t + 3*y**2 - 6 with respect to s. -3*t*y**2 - 8185*y**2 Differentiate 44108*n*o - n + 691*o + 32 with respect to n. 44108*o - 1 What is the second derivative of 97*l**5 - 8811*l**2 - 8*l + 61362? 1940*l**3 - 17622 What is the first derivative of 498132*l**2 - 861513? 996264*l Differentiate -23*d**2 - 29573*d - 3362925 wrt d. -46*d - 29573 What is the second derivative of 113587*p**2 - 3*p + 4195 wrt p? 227174 Find the second derivative of -3395042*d**2 - 4014412*d. -6790084 Find the third derivative of 19895*j**5 + j**2 + 8669*j + 1. 1193700*j**2 Find the third derivative of 838084*g*r**4 + 9*g*r**2 + 60*g - r**3 + 184*r wrt r. 20114016*g*r - 6 Differentiate 21033*m - 31461 with respect to m. 21033 Find the third derivative of 24371*n*w**5 - 56*n*w**4 + n*w**2 + 105*n - 383*w wrt w. 1462260*n*w**2 - 1344*n*w What is the third derivative of -43640*t**3 + t**2 - 1385*t + 2? -261840 What is the third derivative of -1231830*o**4 - 6*o**2 + 5916*o + 8 wrt o? -29563920*o What is the derivative of 1683019*j*o + 2*j + 1735584 wrt o? 1683019*j What is the third derivative of -38936*c**3*j + 2*c**2*j + 668*c**2 + c wrt c? -233616*j Differentiate -8449*d*y + 3868377*d - 21*y with respect to y. -8449*d - 21 What is the third derivative of 121619*l**3 + 92639*l**2? 729714 What is the derivative of -97747*l + 66814? -97747 Differentiate 169*k**2*u**3 - 2*k**2*u - 2*k**2 - 4661*k - 34*u**2 - 4 with respect to u. 507*k**2*u**2 - 2*k**2 - 68*u What is the first derivative of -1551266*v**4 - 368822 wrt v? -6205064*v**3 Differentiate 41112*k - 29349. 41112 What is the second derivative of 54*a**3 - 26916*a**2 + 3508056*a? 324*a - 53832 What is the third derivative of -1080322*u**4 + 4*u**2 + 82125? -25927728*u What is the first derivative of -6226*a**4 + 12*a**2 - 273120 wrt a? -24904*a**3 + 24*a What is the first derivative of 51066*o**2 + 715 wrt o? 102132*o Find the third derivative of 38339*y**3 + 31869*y**2 + 1 wrt y. 230034 What is the second derivative of -9475*m**4*y + 2*m**4 - 4*m*y + 397*m - 3*y + 11 wrt m? -113700*m**2*y + 24*m**2 Find the second derivative of 21558*j**3*w**3 - 81851*j**3 - 123*j**2*w**4 + 19*w wrt w. 129348*j**3*w - 1476*j**2*w**2 Find the third derivative of -20*n**3*w + 402*n**3 + 14139*n**2*w - 3*n**2 wrt n. -120*w + 2412 What is the derivative of 132513*i**2 + 144976? 265026*i Find the second derivative of 31*u*v**2 - 10*u*v - u - 9341*v**4 + 3606*v + 4 wrt v. 62*u - 112092*v**2 What is the second derivative of -220602*i**2 - 382282*i? -441204 What is the first derivative of -2758746*n + 251803 wrt n? -2758746 What is the second derivative of 2*q**3 - 35211*q**2 - 14734*q - 6 wrt q? 12*q - 70422 What is the third derivative of 3060*m**6 + 4*m**5 + 2*m**2 - 163*m + 18 wrt m? 367200*m**3 + 240*m**2 What is the second derivative of -k*w**2 - 16332*k*w - 15886*w**2 wrt w? -2*k - 31772 What is the first derivative of 2*m**2*q - 2*m**2*s + 16*m*q*s*y - 6096*m*q*y - 7*m*q - 1146*s*y wrt s? -2*m**2 + 16*m*q*y - 1146*y Find the first derivative of -7631*d**2 + 3*d - 135214. -15262*d + 3 What is the second derivative of 922791*d**3*m**3 - d**3*m - 1181*d**3 - 373*d*m + d wrt m? 5536746*d**3*m Find the third derivative of 4681330*j**6 + 2392370*j**2. 561759600*j**3 Find the third derivative of 119875*f**3*g**3 - f**3 - 1519*f**2*g**2 - 10*f**2 + g wrt g. 719250*f**3 Differentiate -6837*m*p - 3*m + 78*p - 8 with respect to m. -6837*p - 3 Find the first derivative of -421764*w**2 - 388012 wrt w. -843528*w Find the second derivative of -4574802*i**2 + i + 718368. -9149604 Find the second derivative of -62089*r**2 + 18335*r wrt r. -124178 What is the second derivative of 306387*u**2 + 1364*u + 14 wrt u? 612774 Differentiate -3981*o**2*q*s**2 + 6*o**2*q*s - 696*o**2 + 10*s**2 with respect to q. -3981*o**2*s**2 + 6*o**2*s What is the derivative of -12005*u - 41411 wrt u? -12005 What is the first derivative of 7818*i**2 + 218*i + 1611926 wrt i? 15636*i + 218 Find the first derivative of -15822*c*g**3 - c + 422 wrt g. -47466*c*g**2 What is the first derivative of 1171*q**2*r - 10*q**2 - 9*q*r**2 + r**4 - 1035 wrt r? 1171*q**2 - 18*q*r + 4*r**3 What is the first derivative of 28350*f**3 - 36722 wrt f? 85050*f**2 Find the second derivative of 179133*j*v**3 + 6*j*v - 28*j - 52*v wrt v. 1074798*j*v Differentiate -69*d**2 - 1275*d*j - 210304*j wrt d. -138*d - 1275*j Find the second derivative of -1277502*u**2 - 255407*u wrt u. -2555004 Differentiate -44918*i**2 - i + 44123 wrt i. -89836*i - 1 What is the third derivative of -8*q**3*r*y + q**3*r - 55*q**3*y + 277*q**2*r*y + 6*q**2*r + 3*q*y + y wrt q? -48*r*y + 6*r - 330*y Find the first derivative of 81389*r**2 + 16081. 162778*r What is the second derivative of -52*f**2*t*u + 2091*f**2*u - 2*f*t*u - 1689*f*t + f*u wrt f? -104*t*u + 4182*u Find the second derivative of 3282*b**2*x**3 - 5400*b**2*x + 37*x**4 + 4*x wrt x. 19692*b**2*x + 444*x**2 Find the second derivative of -3*n**5 + 83*n**4 + 5436*n**2 + 21*n - 33876 wrt n. -60*n**3 + 996*n**2 + 10872 Find the third derivative of 4317272*s**3 + s**2 - 21886*s + 9. 25903632 Find the third derivative of 1907*f**5*r + 66*f**3 - 1100*f**2*r + 4*f*r + 12*r wrt f. 114420*f**2*r + 396 What is the second derivative of -251*d**3*m*z**3 + 2*d**3*m*z - 4*d**3*z + 5*d**3 + 15*d**2*m*z + 14*m*z**5 - m*z wrt z? -1506*d**3*m*z + 280*m*z**3 Find the second derivative of -56627*u**2*w**5 - u**2*w**3 - 646*u**2*w + 8*u*w wrt w. -1132540*u**2*w**3 - 6*u**2*w Find the third derivative of 4771*p**4 + 6*p**3 + 2*p**2 + 1470*p wrt p. 114504*p + 36 What is the second derivative of 4*d**2*i*n - 75*d**2*i + 7*d**2*n + 3*d*n + 1305*i*n - 2*i wrt d? 8*i*n - 150*i + 14*n Find the second derivative of -4*j**4 - 121688*j**3 - 2622*j + 112. -48*j**2 - 730128*j What is the second derivative of -462*h**5*y + 2*h**2*o*y**3 - h**2*o - h*o*y**3 + 3378*h*o - o wrt h? -9240*h**3*y + 4*o*y**3 - 2*o Find the second derivative of d*v**2 + 6*d - 5766*v**2 + 2465*v wrt v. 2*d - 11532 What is the second derivativ
{ "pile_set_name": "DM Mathematics" }
est integer? 9 What is 10544 to the power of 1/5, to the nearest integer? 6 What is the seventh root of 70519 to the nearest integer? 5 What is 17850 to the power of 1/8, to the nearest integer? 3 What is the third root of 41 to the nearest integer? 3 What is the square root of 1862 to the nearest integer? 43 What is 40205 to the power of 1/7, to the nearest integer? 5 What is 817 to the power of 1/2, to the nearest integer? 29 What is the third root of 9011 to the nearest integer? 21 What is the cube root of 1252 to the nearest integer? 11 What is the square root of 1287 to the nearest integer? 36 What is the cube root of 14925 to the nearest integer? 25 What is 14854 to the power of 1/4, to the nearest integer? 11 What is the cube root of 57969 to the nearest integer? 39 What is the ninth root of 2900 to the nearest integer? 2 What is 33825 to the power of 1/3, to the nearest integer? 32 What is the eighth root of 459 to the nearest integer? 2 What is the ninth root of 31066 to the nearest integer? 3 What is the third root of 22689 to the nearest integer? 28 What is 3286 to the power of 1/3, to the nearest integer? 15 What is the fourth root of 7228 to the nearest integer? 9 What is the cube root of 7624 to the nearest integer? 20 What is 1665 to the power of 1/3, to the nearest integer? 12 What is the square root of 5730 to the nearest integer? 76 What is 2292 to the power of 1/3, to the nearest integer? 13 What is 2419 to the power of 1/3, to the nearest integer? 13 What is the third root of 3645 to the nearest integer? 15 What is the seventh root of 969 to the nearest integer? 3 What is the cube root of 1345 to the nearest integer? 11 What is 120548 to the power of 1/9, to the nearest integer? 4 What is the square root of 9076 to the nearest integer? 95 What is the third root of 3422 to the nearest integer? 15 What is the fifth root of 41098 to the nearest integer? 8 What is the fifth root of 4383 to the nearest integer? 5 What is the seventh root of 1170 to the nearest integer? 3 What is 325 to the power of 1/3, to the nearest integer? 7 What is the tenth root of 1716 to the nearest integer? 2 What is 41911 to the power of 1/3, to the nearest integer? 35 What is 5474 to the power of 1/2, to the nearest integer? 74 What is 9371 to the power of 1/3, to the nearest integer? 21 What is the square root of 18906 to the nearest integer? 137 What is the square root of 27598 to the nearest integer? 166 What is 948 to the power of 1/2, to the nearest integer? 31 What is 1646 to the power of 1/9, to the nearest integer? 2 What is the square root of 1731 to the nearest integer? 42 What is the square root of 6640 to the nearest integer? 81 What is 545 to the power of 1/6, to the nearest integer? 3 What is the seventh root of 8790 to the nearest integer? 4 What is 791 to the power of 1/2, to the nearest integer? 28 What is 10841 to the power of 1/3, to the nearest integer? 22 What is the square root of 4292 to the nearest integer? 66 What is the third root of 6026 to the nearest integer? 18 What is the square root of 29146 to the nearest integer? 171 What is 56649 to the power of 1/3, to the nearest integer? 38 What is the fifth root of 930 to the nearest integer? 4 What is 125361 to the power of 1/3, to the nearest integer? 50 What is the cube root of 9735 to the nearest integer? 21 What is 13864 to the power of 1/4, to the nearest integer? 11 What is 19099 to the power of 1/2, to the nearest integer? 138 What is 36 to the power of 1/7, to the nearest integer? 2 What is 1059 to the power of 1/3, to the nearest integer? 10 What is 142693 to the power of 1/3, to the nearest integer? 52 What is the cube root of 38753 to the nearest integer? 34 What is the square root of 17902 to the nearest integer? 134 What is 55997 to the power of 1/2, to the nearest integer? 237 What is 40868 to the power of 1/9, to the nearest integer? 3 What is the eighth root of 17389 to the nearest integer? 3 What is the third root of 35883 to the nearest integer? 33 What is the tenth root of 2554 to the nearest integer? 2 What is the fifth root of 43991 to the nearest integer? 8 What is the fifth root of 8616 to the nearest integer? 6 What is 1860 to the power of 1/9, to the nearest integer? 2 What is 3684 to the power of 1/6, to the nearest integer? 4 What is 8392 to the power of 1/3, to the nearest integer? 20 What is the square root of 103524 to the nearest integer? 322 What is the ninth root of 1923 to the nearest integer? 2 What is 897 to the power of 1/8, to the nearest integer? 2 What is 47438 to the power of 1/2, to the nearest integer? 218 What is 13146 to the power of 1/10, to the nearest integer? 3 What is the third root of 313 to the nearest integer? 7 What is 1806 to the power of 1/8, to the nearest integer? 3 What is the eighth root of 4672 to the nearest integer? 3 What is 1046 to the power of 1/9, to the nearest integer? 2 What is 209 to the power of 1/7, to the nearest integer? 2 What is the third root of 379 to the nearest integer? 7 What is the square root of 16712 to the nearest integer? 129 What is 3235 to the power of 1/7, to the nearest integer? 3 What is the ninth root of 10071 to the nearest integer? 3 What is the cube root of 1621 to the nearest integer? 12 What is the cube root of 91998 to the nearest integer? 45 What is the cube root of 24979 to the nearest integer? 29 What is the third root of 31107 to the nearest integer? 31 What is 1121 to the power of 1/3, to the nearest integer? 10 What is the tenth root of 215 to the nearest integer? 2 What is the ninth root of 12027 to the nearest integer? 3 What is the fifth root of 1451 to the nearest integer? 4 What is the seventh root of 117473 to the nearest integer? 5 What is the third root of 6017 to the nearest integer? 18 What is 193 to the power of 1/2, to the nearest integer? 14 What is 2219 to the power of 1/2, to the nearest integer? 47 What is the third root of 7911 to the nearest integer? 20 What is 49156 to the power of 1/8, to the nearest integer? 4 What is the eighth root of 90 to the nearest integer? 2 What is the eighth root of 799 to the nearest integer? 2 What is the square root of 1393 to the nearest integer? 37 What is the ninth root of 3370 to the nearest integer? 2 What is 7791 to the power of 1/2, to the nearest integer? 88 What is 116048 to the power of 1/3, to the nearest integer? 49 What is the third root of 12514 to the nearest integer? 23 What is the square root of 25340 to the nearest integer? 159 What is the cube root of 1082 to the nearest integer? 10 What is 6844 to the power of 1/2, to the nearest integer? 83 What is 4881 to the power of 1/2, to the nearest integer? 70 What is 17748 to the power of 1/7, to the nearest integer? 4 What is 320 to the power of 1/2, to the nearest integer? 18 What is 23198 to the power of 1/4, to the nearest integer? 12 What is 29798 to the power of 1/2, to the nearest integer? 173 What is the fifth root of 925 to the nearest integer? 4 What is 8762 to the power of 1/2, to the nearest integer? 94 What is 1861 to the power of 1/3, to the nearest integer? 12 What is 95148 to the power of 1/2, to the nearest integer? 308 What is the fifth root of 82810 to the nearest integer? 10 What is the square root of 66937 to the nearest integer? 259 What is 665 to the power of 1/3, to the nearest integer? 9 What is the ninth root of 1405 to the nearest integer? 2 What is 92912 to the power of 1/3, to the nearest integer? 45 What is 3988 to the power of 1/6, to the nearest integer? 4 What is 30875 to the power of 1/4, to the nearest integer? 13 What is 3286 to the power of 1/2, to the nearest integer? 57 What is the square root of 2930 to the nearest integer? 54 What is the fourth root of 131202 to the nearest integer? 19 What is the square root of 2300 to the nearest integer? 48 What is the square root of 692 to the nearest integer? 26 What is 1821 to the power of 1/2, to the nearest integer? 43 What is the square root of 22579 to the nearest integer? 150 What is the fourth root of 173021 to the nearest integer? 20 What is the square root of 418 to the nearest integer? 20 What is 21439 to the power of 1/8, to the nearest integer? 3 What is the fifth root
{ "pile_set_name": "DM Mathematics" }
- 25. Let x be 4 - (-1 + 3 - w). Solve x*r = r - 4 for r. 4 Let q = 95 - 102. Let z(h) = 2*h + 16. Let y be z(q). Solve 0 = o - 0 - y for o. 2 Suppose 121*o - 111*o = 40. Solve -o*a = -3*a - 1 for a. 1 Suppose 0 = 4*z + 3*n + 2*n - 27, 3*n = -2*z + 15. Solve -x + 7 = z for x. 4 Let m(v) = -v**2 - 16*v. Let h be m(-16). Suppose -5*w = -4*o + 47, o + 0*w + 5*w = -7. Suppose h = -3*c - o + 23. Solve -n = c - 0 for n. -5 Let p = 4 + -2. Solve 0*z + p*z = 5*z for z. 0 Let n(b) = -4*b**2 - 9*b - 2. Let k be n(-2). Solve k = 6*r - r - 5 for r. 1 Suppose 2*n - 226 = -3*q - 3*n, -q + 3*n + 66 = 0. Solve q*w - 75*w = 0 for w. 0 Suppose -2*k = 4*c - 28, 0*k + 5*c = 4*k - 69. Suppose 12 = -4*d + 4, -4*q = -2*d - k. Suppose 1152*v - 160 = 1112*v. Solve -v*j = -j + q for j. -1 Suppose 5*c + 234 = 2*j, -4*j - c + 420 = c. Solve -j = -z - 108 for z. -1 Let k(g) = -16*g - 694. Let f be k(-46). Solve -33 = -9*i - f for i. -1 Suppose -b + 176 = 165. Solve -b = -2*g - 7 for g. 2 Let s(l) = -l**2 + 9*l - 14. Suppose 2*i - d + 4*d - 27 = 0, 5*i - 55 = -5*d. Let t be s(i). Solve t*r = -r - 15 for r. -3 Let n(o) = -o**3 + 8*o**2 - 7*o. Let s be 1 + 6/(-2) + 7. Suppose -s*a - 4*p = -35, 7 = 2*a - 5*p - 7. Let z be n(a). Solve z = 5*h - 1 - 4 for h. 1 Suppose 5*x = 5*h + 20, -2*x - 2*x + 14 = -3*h. Suppose 5*b + 28 = x*j, -5*j + b + 24 = -0*b. Solve -j*z = 10 + 10 for z. -5 Let t be 5*((-132)/20 + 3) - 0. Let r(i) = -i**2 - 18*i + 4. Let j be r(t). Solve 7*s - 3*s = -j for s. -1 Let c(w) = -w**3 + 27*w**2 + w + 3. Let i be c(27). Solve 6*z + 0*z + i = 0 for z. -5 Let h = 91 + -70. Solve -25 + 4 = h*a for a. -1 Let f be (0 - 2 - -3)/(1/5). Suppose 2*m - 5*w = 5, -24 = f*m + 3*w - 114. Solve 0 = 3*u + 2*u - m for u. 3 Suppose -4*i - 4 = -36. Suppose -2*b + 4 = -u, -4*b + 4*u = -u - i. Let n be 5 - ((-3)/(-2) - 27/18). Solve -n*f + b*f - 15 = 0 for f. -5 Suppose -30*v + x + 13 = -25*v, -2*v = 2*x + 2. Solve -18 = -v*n - 20 for n. -1 Let m be (3/2)/(12/80). Suppose 0 = -6*l + 15 - 3. Solve -3*n + l = -m for n. 4 Let w be (9 + -5)*28/16. Solve -d = -5 + w for d. -2 Let p = -1960 + 2002. Solve -3*j + p = -17*j for j. -3 Let u = 1 + -1. Let z be (-2)/10 - ((-48)/15 - 0). Let b be (2*1/2 - z) + 2. Solve u = 2*g - b*g for g. 0 Suppose 3*a + 4*q - 25 = 0, 6*a - 5*q = 4*a + 32. Suppose -8*w + 21 = -a. Solve 2*t = -0 + w for t. 2 Let l(p) = -p**2 + 10*p + 7. Let m be l(10). Let z(a) = a**2 - 4*a + 3. Let h be z(4). Solve -y + h = m for y. -4 Suppose 2*y - 10 = -5*s, 5*y = -5*s + 6 + 19. Suppose s = -5*j - x + 93, -3*j + 65 = -8*x + 4*x. Suppose u - j = -9. Solve -5*i - 15 - u = 0 for i. -5 Suppose 0 = 5*n - 20, 3*o + 14 = -2*n + n. Let x(i) = i**3 + 4*i**2 - 13*i - 2. Let r be x(o). Solve -2*y - r = -4*y for y. 2 Suppose 16 = 2*t - 2. Let n = -21 + 26. Suppose 5*a + k - 10 = -k, 4*a + k = n. Solve a = -4*y + y + t for y. 3 Suppose -5*q - 2 = -5*k + 3, 2*q - 6 = -2*k. Solve -2*z = -3*z + k for z. 2 Let w(u) = u**2 + 6*u + 7. Let r be w(-5). Suppose -5 = -2*s + 2*c + 7, -r*c - 17 = -3*s. Solve -s*o = -24 - 1 for o. 5 Let o be (-880)/6 + 7/(-105)*5. Let c = o + 150. Solve -2*n - c*n + 20 = 0 for n. 4 Let m(q) = q + 3. Let s be m(3). Suppose -5*o + 27 = g, 0 = -4*o + 16*g - 12*g + 12. Solve o = -s*r + r for r. -1 Let h(a) = -a**3 - 3*a**2 + 4. Let w be h(-3). Let c(o) = 2*o**3 - 8*o**2 + 9*o - 1. Let l be c(w). Let t = l + -30. Solve -r + 8 = -t*r for r. -2 Let t be 4/(-3)*(-4 - -1). Suppose 0 = -2*h + 4*h. Let p = 1340 + -1338. Solve -t*m + p*m = h for m. 0 Let z be 2/(-14)*(11 + -4) + 3. Solve 0 = -z*b - 14 + 6 for b. -4 Let u = 41 - 37. Suppose 0 = -3*i, u*s + 0*i = 3*i + 24. Solve s*p = p for p. 0 Let b(w) = w**3 + 22*w**2 + 87*w + 39. Let v be b(-17). Solve -v*y + 30 = 10 for y. 4 Let i be -4 + -3 + 1*3. Let a be (-1 - -7)*i/6. Let w be 12/8 + (-6)/a. Solve w*c + 1 = 2*c for c. -1 Let n be 0/(-4 + (-5 - -10)). Suppose 4 = -5*r + m, 5*r + 20 = 2*r + 5*m. Solve r = -z - n*z for z. 0 Let o be 2 + (-7)/((-28)/16). Suppose 2*k = 5*l - 1, -k = l + o - 2. Let f(h) = h + 5. Let t be f(k). Solve -r = t*r for r. 0 Let a be 1/10 + (-5073)/(-570). Solve 13*k = a*k - 16 for k. -4 Suppose c = -5*h + 46, -33*h + 28*h + 58 = -2*c. Solve 7 = 3*t + h for t. -1 Let d(f) = f**3 + 6*f**2 + 4*f - 2. Let y be d(-5). Let s be -1*(-1 - -2)*-3. Suppose 0 = 4*u - u. Solve u*w = y*w - s for w. 1 Let a = 8 - 8. Let o(v) = v**2 - v + 3. Let z be o(a). Suppose 5*j = 3*x + 16, 5*j - z*x - x = 18. Solve -j*h = -0*h - 6 for h. 3 Suppose -5*n = -n. Let a(r) = r - 4. Let u be 0 + 3 + 2 + -1. Let k be a(u). Solve k = -2*w - n*w + 10 for w. 5 Let n(a) = -3*a + 27. Let c be n(9). Suppose -4*t - 6*t + 80 = c. Solve -3*w - 10 = -t*w for w. 2 Let f = 7 - -11. Let u = f - 15. Let l be 1*(-2)/u*-3. Solve l*r - r = 2 for r. 2 Let r be -15 + 2 + 17 + 19 + -1. Solve -r*t = -14*t + 32 for t. -4 Let r = 8 - 6. Let w = r - -1. Suppose 5*o + 32 = w*k, 3*k - k + 4*o + 8 = 0. Solve -3*m - m = -k for m. 1 Let a(y) = 9*y. Let j be a(-2). Let r(g) = g**2 + 7*g + 2. Let l be r(-9). Let z = l + j. Solve 0 = z*s - 6 + 2 for s. 2 Suppose -1 = -j + 3. Suppose -5*d + j + 11 = 0. Suppose -d*g - 7 = -y, -5*y - 5*g + 6 = -9. Solve 3 + 9 = -y*o for o. -3 Let r = 729 + -717. Solve -r = -5*v + 8 for v. 4 Let t be 12/(-8)*(-56)/(-6). Let x = -11 - t. Suppose -4*h - 3*d - 5 = -12, 27 = x*h - 5*d. Solve -q = q - h for q. 2 Let g = -127 + 132. Suppose -4*b - g = -13. Solve b*v + v = 12 for v. 4 Suppose 8 - 26 = -3*a. Solve 4*u - 2*u - a = 0 for u. 3 Let a(i) = i**3 - 3*i**2 - i + 5. Let n be a(3). Solve 8 = -n*b + 6 for b. -1 Let p(i) = 2*i**3 + 64*i**2 + 63*i + 51. Let f be p(-31). Solve -21*j - 5 = -f*j for j. -5 Let j be (3/2)/((-4)/(-8)). Suppose -27 = -j*t + 3*q, -3*q = -t - 3 + 2. Let o(x) = -4*x. Let z be o(-1). Solve 2*n = -t + z for n. -5 Suppose 2*d - 9 = -5*v, -v = 4*d - 6*v + 27. Let o be 1/((-4)/(-16)) + d. Solve 0 = -s - o - 2 for s. -3 Suppose 3*n - 2*x = 157, x + 3 - 7 = 0. Solve c + 56 = n for c. -1 Let q be 1*(-606)/(-2 - 4). Solve 106 = 5*y + q for y. 1 Let b(a) = -a**3 + 3*a**2 + 4*a. Let c be b(5). Let o = 31 + c. Solve o + 8 = -3*r for r. -3 Suppose -3*r - 143 = -5*s - 6*r, 4*r - 60 = -2*s. Let d be (s/(-12))/7*-21. Solve 2*t = d*t for t. 0 Suppose -4*n = -4, -n = f + 6 + 1. Let r be (-6)/(-21) + 60/(-14). Let b = r - f. Solve -b*o - 5 = 11 for o. -4 Let f(g) = g**3 + 7*g**2 + 8*g + 14. Let q be f(-6). Suppose q*c + 8 = 12. Solve -c*z + 6 = z for z. 2 Let z(i) = -i**2 + 19*i - 55. Let s be z(4). Solve 1 = 3*x - s for x. 2 Suppose 0 = -254*u + 249*u + 75. Solve 0*k = 5*k - u for k. 3 Suppose 2*q + 8 = 4*q - 4*v, 3*v = -3*q + 3. Solve q*s - 6 = -2 for s. 2 Suppose 3*i + 6 = 3*o, 0 = 3*i - 4*o + 8*o - 29. Suppose -2*l = 5*b - 15 + 2, 5*l + 17 = 4*b. Solve -2*x - b = -i*x for x. 3 Let i(f) = 67*f**3 - 4*f - 3*f - 1 - 70*f**3 + 6*f. Let a be i(-2). Solve 0 = -b + 6*b + a for b. -5 Let w = 412 - 412. Solve w = 5*p - 52 + 27 for p. 5 Let d(a) = -2*a + 39. Let p be d(17). Solve p*r + 13 = 3 for r. -2 Let x be 2/(-4) - (-7)/2. Suppose -3*r + 3 = 3*w, -12 + 15 = -r - 5*w. Solve 0 = i - r*i + x for i. 3 Suppose -5*k + 5*x = -405, -187 - 197 = -5*k - 2*x. Suppose -5*p + p + 5*a = -123, 3*p + a = k. Let f be (-36)/(-10) + p/(-45). Solve 0 = -f*s + s + 10 for s. 5 Let l = -47 - -50. Let s be -2*3/(-6) + 7. Solve -l*o = -s*o for o. 0 Let a = -2197 + 2239. Solve -53*h - 22 = -a*h for h. -2 Let f(g) be the second derivative of g**5/20 - g**4/3 - 5*g**3/6 + g**2 + 4*g. Let a be f(5). Let n = a - 2. Solve n = 2*r + 2*r + 8 for r. -2 Suppose 3*p - 19 - 83 = 0. Suppose -5*g - 38 = -3*z, -4*z - 4*g + 6 + p = 0. Solve 4*u - 9 = z for u. 5 Suppose -5*s + 9 = -6. Suppose 4*x = 5*f - s - 39, f + 28 = -2*x. Let w = 18 + x. Solve w = u - 0 for u. 5 Let d be 2/(-8) + (-452)/(-16). Suppose 0 = 9*z - 2*z - d. Suppose 27 = z*t + 2*l - 25, -5*t + l = -58. Solve 3 - t = 3*q for q. -3 Suppose 4*c - d = -2*d + 9, -5*d + 3 = -c. Suppose c*s - 16 = -2*s. Solve m = s*m + 15 for m. -5 Let d = -131 - -138. Solve -5*p = 2*p - d for p. 1 Let c be ((-6)/33)/(7 + 156/(-22)). Solve -c*v + 10 = -0*v for v. 5 Suppose 3*w - 2*z = -50, -4*w = -z - 2*z + 66. Let f = w + 24. Suppose b - f = -b. Solve -3 = -b*s + 2*s for s. 3 Suppose -8*v + 4 = -7*v. Suppose -n = -2*n - 2*f +
{ "pile_set_name": "DM Mathematics" }