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*v + 2*y = -8, j = -4*v - v - 2*y - 15 for v. -1 Let r be (4/5)/((-3)/(-15)). Suppose -r*a - 16 = -60. Suppose -3*w - 5*p - a = 0, p + 0 = w - 7. Solve -q = w*y + 3, y + 3*q + 9 = -y for y. 0 Suppose 5*q = 3*c - 28, c = 3*q - c + 16. Let d(j) = -j - 7. Let h be d(q). Let z be 3/2 - h/(-2). Solve 4*s + 2*i = -20, 0 = z*s + i + 3*i + 22 for s. -3 Let b = 3 + 6. Solve -3*y = -2*n + 9, 4*n - y - b = 2*y for n. 0 Let l = -118 + 121. Solve i - 3 = 0, 3*n + 6*i = l*i + 18 for n. 3 Let x(r) = 4*r**2 + r**2 - 2 - 6*r + r**3 + 4. Let m be x(-6). Solve 6*p - 2*p + m*g = 0, 3*p + g = 1 for p. 1 Let t(s) = 2 + s**3 - 3*s + 5*s - 3*s**2 - 2*s**2. Suppose -4*o = o - 25. Let b be t(o). Solve 0 = -3*r - b, 0*m - 3*m - 13 = 4*r for m. 1 Let h(k) = 3*k + 4. Let t(w) = 2*w + 4. Let y(d) = -4*h(d) + 5*t(d). Let l be y(4). Let c = l + 6. Solve -3*u = 3*o + 6, -c + 10 = -2*o for u. 2 Let f(w) = -2*w**2 + 10*w - 9. Let x be f(6). Let h = x - -25. Solve -h*y + 37 - 8 = 3*q, -2*q - 4*y + 26 = 0 for q. 3 Let b(i) = i**2 + 5*i - 6. Let y be b(-6). Solve -3*c - q + 6 = 0, 4*c + 0*q - 3*q + 5 = y for c. 1 Let b(n) = -9*n**2 + 4 + 0*n**3 + n**3 + 8. Let v be b(9). Suppose -2*w + 3*w - 18 = 5*h, 0 = 3*w + h - 6. Solve 8*m = -2*c + w*m + 14, 2*m = -4*c + v for c. 2 Let i(n) = 0 + 3 + n + 6. Let o be i(-7). Solve -8 = -3*h - 2*k, o*h + h = -5*k + 2 for h. 4 Suppose 2*y + 3*h - 13 = 0, -4*h + 5 = 1. Let g = y - 3. Solve 3*k - 4*z = -g*k + 1, 2 = 4*k - 2*z for k. 1 Suppose 6*h + 10 = -5*o + h, h = -4. Suppose -o*b - 2*b + 16 = 0. Solve -b = d, -13 = q + 3*d - d for q. -5 Let f be 24/(0 + 4) + -3. Solve 5*t - 3*t - 10 = -d, -3*d = f*t - 15 for d. 0 Let o(q) be the second derivative of q**4/12 + q**3/6 - q**2 - 23*q. Suppose -2*z + z - 3 = 0. Let h be o(z). Solve -h*v - 12 + 5 = -t, v - 5*t = 22 for v. -3 Let h(s) = s**2 + 3*s + 2. Let v be h(-3). Let a(g) = -g**2 - 3*g + 18. Let y be a(-6). Solve -4*p - 4*j = -8, j + v = -y*j for p. 4 Let z(q) = 5*q + 5. Let a be z(-1). Solve -4*b + f + 2 = a, 3*f = b + 3 + 2 for b. 1 Let v = 28 + -26. Let i = 5 - 3. Solve v*t = s + 3*s + 18, 10 = -3*s - i*t for s. -4 Let c be (-51)/(-34)*20/6. Suppose c*f - 16 = r - 0*f, 0 = -3*f + 12. Solve j + 3*b = -2*j + 12, r*j - 6 = b for j. 2 Let j be (-12)/(-42) - (-36)/21. Solve 2*m + 2*d - 8 = -0*m, 0 = 2*m - j*d - 8 for m. 4 Let h(w) = -w**3 + 5*w**2 + 7*w - 1. Suppose 5*b - 14 = 6, -2*c = 2*b - 20. Let q be h(c). Solve -4*z - q*t = -1 + 2, 5*z + 14 = -2*t for z. -4 Let s = 4 + 1. Let m be ((-2)/10)/((-2)/10). Let b be 8 - 9/3 - m. Solve 9 + 11 = -5*c, -b*w + s*c = -4 for w. -4 Suppose -2*f - 20 = -6*f. Solve 0 = -f*m - 4*p + 41, m = -m + p + 6 for m. 5 Let g(a) = -a**3 + a**2 - a + 48. Let r be g(0). Let l be (108/r)/(1/4). Let b be 7/2 - (-1)/(-2). Solve 2*h + 8 = 2*n, 0 = 3*n + 4*h - l - b for n. 4 Let t = -14 - -16. Solve -2*z + 3*o + 16 = 0, 0 = -z + t*o + 9 - 0 for z. 5 Let q(v) = 5*v**2. Let y be q(-1). Let l = 30 - 22. Let k = -5 + l. Solve 2*j = y*g + 18, j + g + k*g + 17 = 0 for j. -1 Suppose 25 = -5*j + 2*q - 7*q, j - 4*q + 25 = 0. Let i = 14 + j. Solve -5 = 3*m - 0*f - 5*f, 2*f = -i*m + 33 for m. 5 Suppose 2*u + 12 = 5*u. Let n = -12 + 14. Suppose 0 = -n*w - 2*w + 4*x + 20, 0 = u*w + x + 5. Solve 4*z + 5 = 3*r + 1, w = -2*z + r for z. 2 Let g(y) = -y**3 + 6*y**2 - 5*y + 2. Let p be g(5). Let f = 11 + -8. Suppose b - 11 = -p*o, -f*b = -0*o + o - 13. Solve b*l - 35 = -5*d, 3*d - 3 = l + 4 for d. 4 Let f(k) = -4*k**3 - 3*k - 2. Let l be f(-1). Solve u + 11 = l*v, -3*u + 2*u = -4 for v. 3 Suppose x + 5*a + 2 = -6, 0 = x - a + 2. Let f be x*(-3)/27*0. Solve f*j + 3*c - 3 = -3*j, -j - 2*c = 3 for j. 5 Let t(x) = 2*x - 3. Let v be t(2). Suppose -39 = -3*g - c, 0 = -g - 4*c + 13. Let w = -8 + g. Solve 0 = -2*p + o + v, p + 20 = -4*p - w*o for p. -1 Let n = -21 + 13. Let j = -4 - n. Solve j*h + f = -2*f - 1, 13 = -h - 5*f for h. 2 Let r(i) = -i**3 - 2*i**2 + 2*i + 4. Let n be r(-3). Let z = n - -18. Solve 5*a - z = -5*v, -4*v - 5 + 0 = -a for v. 0 Let v(q) = q - 13. Let r be v(18). Solve -4*m + r*l = 9, l + 3*l = -3*m + 1 for m. -1 Let y(x) = 1 + 6 + x + 0*x. Let c be y(0). Suppose 1 = -2*j + c. Solve -j*p - u - 9 = 0, 2*p - 3*u + 19 = -8*u for p. -2 Let m = -17 - -9. Suppose 2*w = -5*i - 11, 6*i - 3*i + 5*w = 1. Let h = i - m. Solve -h*z - 23 = -t + 5, 5 = -z for t. 3 Let j = 11 - 6. Solve -6*n + j*i + 32 = -3*n, n - 4*i = 20 for n. 4 Let n(z) = 5*z - 1 + 3*z - 3*z. Let b be n(1). Suppose -b*v = -4, 0*v + 4 = 2*o - 2*v. Solve o*a + 3*s + 30 = 0, -30 = 5*a - s - 10 for a. -5 Let a be (1 - -1) + -1 + 4. Let b be 0/(3/((-9)/6)*-1). Solve 20 = c + 4*l, b = -4*c + l - a*l + 32 for c. 4 Suppose -2*i = 0, d - 5*i = -2*d + 3. Let l be 5/2 - (-1)/2. Let h = l - d. Solve -z + 7 = 2*j, -2 = -h*j + 6 for z. -1 Suppose -2*g + 5*g + 54 = 0. Let z be 12*-2*3/g. Suppose 0*y - z*y = -8. Solve 10 = -2*o - 4*q, -q = o + 3 + y for o. -5 Let n = -4 - -1. Let v = 1 - n. Let t(x) = -x**3 - x + 5. Let h be t(0). Solve k + h*d - 5 = 4*d, -d = -v*k + 15 for k. 4 Suppose -6*x - 61 = -3*r - x, x = -5. Solve 5*p + 6 = -4, -3*p = 3*s + r for s. -2 Suppose -4*n = -9*n - 3*y + 7, 4*n - 10 = 2*y. Suppose n = u - 0. Let q = 1 + u. Solve -5*a + 3*g = -12 - 4, 5*a + q*g - 34 = 0 for a. 5 Suppose 3*y - 132 = -8*x + 3*x, 0 = 2*y + 3*x - 87. Let t = -24 + y. Solve -4*q = -5*c - 3, -q - c - 3*c = t for q. -3 Let q = -68 - -68. Let j(i) = -18*i - 1. Let n be j(-2). Solve 0 = 4*t - 4*m + 32, q*m - 4*m + n = -5*t for t. -3 Let n = 17 + -5. Suppose n = -r + 4*r. Solve -3*x = r*w - 3*w + 11, -3*w = -4*x + 7 for x. -2 Let d = -9 + 13. Suppose 16 - 4 = d*r. Solve 3*q + 6 = u, r*u = -2*u - 4*q - 8 for u. 0 Let o be 0/(1/((-3)/(-6))). Suppose -2*p + 2*y + 12 = o, 5*y + 26 = 3*p - 0*y. Solve -4*q - u - p*u = 0, q = -u for q. 0 Suppose 6*v - 8 = 4*v. Solve 3*z - 15 = -3*n, -2*n = -z + v*z - 14 for n. 1 Let o = 61 + -57. Solve 9 = -3*s, q + 10 + o = -3*s for q. -5 Suppose 0 = -7*w + 2*w - 4*o + 16, 0 = -4*w + o + 17. Solve w = 3*p + 5*v, 3*p = -p + 3*v + 15 for p. 3 Let a = 19 + -4. Suppose 0*u + a = 5*u. Suppose 5 = -u*l + 14. Solve 4*h + 11 = l*n - 8, 0 = -5*h + 3*n - 23 for h. -4 Suppose 0 = 3*h - 2*z + 4 - 13, -z + 18 = 3*h. Let u(x) = -2*x - x + 5*x + 1. Let l be u(2). Solve 4*i - 4 = j - 4*j, -h*i + l = j for i. 1 Suppose -4*h = -4*o - 8, h - 12 = o - 2*h. Solve -o*u - 26 = -5*d, d = -2*u - 0*d for u. -2 Let m = -3 + -6. Let f(d) = -d**3 + 3*d**2 - 2*d - 1. Let v be f(2). Let h = v - m. Solve -4*g + 5*g - 2*u + h = 0, -g = -4*u + 12 for g. -4 Suppose 0 = -2*o + 10. Suppose o*n - n - 8 = 0. Solve 4*t + 4*v - 1 = 3, 3*v + 2 = n*t for t. 1 Let l = -33 - -49. Suppose 5*p - l = p. Solve -h + 4 + 11 = 3*j, 3*j = p*h for j. 4 Let p = -33 - -35. Let q = 5 - -12. Solve -m - p*m - q = -5*h, -4*h = 3*m + 8 for h. 1 Let d = 1 + 3. Let r be ((-8)/(-2))/(-3 + d). Solve 19 = 4*a - i, -r + 3 = -i for a. 5 Let i(r) = -r**3 - 4*r**2 - 3*r - 4. Let v be i(-4). Let c = v - -12. Solve -2*q + c = -q + 5*j, -2*q = -3*j - 1 for q. 5 Let o = 56 + -40. Let p = 16 - 10. Let j = -2 + p. Solve 2*m + j = 3*g, 0*m - 2*m - o = 3*g for m. -5 Let j be 0 + -1 - (1 - 2). Suppose -4*z + 5*z - 3 = j. Solve -o - z = -5*r - 12, 3*r = -5*o - 11 for r. -2 Suppose 3*d = -d + 28. Suppose 5 = t + n + 4, 2*t - d = 3*n. Solve 2*f = -2*f, t*p + 2*f = 8 for p. 4 Suppose 2*b + 0 = 6, 2*b - 21 = -3*p. Suppose -2*k + 7 = 3*w, k + 4*w + 9 = -0*w. Solve -3*u = z + k, -p*z - 6*u - 5 = -u for z. 4 Let d = 10 + -6. Suppose 4*h - 99 = d*k - 19, h - 28 = -3*k. Suppose 4*v + v - t - h = 0, -3*v + t = -14. Solve 0 = -5*r - 2*c + 17, 3*c = v*r + 4*c - 16 for r. 5 Let t = -2 - -4. Let d(x) = x**2 + 2*x - 2. Let c be d(2). Suppose c*n = t*n. Solve -4*f + 4 = n, 3*f + 6 = 5*z - 6 for z. 3 Let c(b) = -b - 4. Let f be c(-6). Let m be (1 + -1)*(-8)/16. Solve 3*w = -5*d + 8, 4*d - 2 = f*w - m for d. 1 Suppose -3*l = 15, l + 3 = -3*x - 2. Let g(c) = c**3 + c**2 + 1. Let y be g(x). Let r be y*(-4)/(-6)*3. Solve -3*m + 8 = 4*j, -7 = r*j + 4*m - 1 for j. 5 Let t be 36/20*(-15)/(-1). Let u be 60/t + 4/(-18). Solve -20 = u*n + 5*c, -2*n + 7*n = -3*c - 31 for n. -5 Let m = 1 + 5. Suppose 0 = 6*n - n + g - 13, -m = -2*g. Suppose d - n + 0 = 0. Solve -3*l - 5*h = 10, -4*l + d*h + 3*h + 45 = 0 for l. 5 Let r = 11 -
{ "pile_set_name": "DM Mathematics" }
12.9594 What is 0.09334 take away 75? -74.90666 Sum -0.1 and 99.019. 98.919 -979871+-2 -979873 What is the difference between -25 and 3.2? 28.2 What is the distance between 0.1 and -148? 148.1 What is the difference between 2 and 6740.1? 6738.1 What is 3 take away -0.07561? 3.07561 What is -2 less than 7847.2? 7849.2 Put together 0.06 and -4025. -4024.94 What is the difference between 0.1 and 1524? 1523.9 Total of -0.0197 and 0.12. 0.1003 What is the difference between -0.56 and -1.7? 1.14 What is -57.125 minus -8? -49.125 What is the distance between 11.8 and -20? 31.8 Subtract 97381 from -0.5. -97381.5 Add -504.61 and 3. -501.61 What is -425 - 0.06? -425.06 Sum -23290 and -1. -23291 What is the difference between -13.41 and -0.3? 13.11 Calculate -0.2 + -360. -360.2 What is -0.1 take away -3743? 3742.9 Work out -1264 + 9. -1255 -3 + -0.29208 -3.29208 Calculate 114.3303 + 0.2. 114.5303 What is 50.6 + 0.0315? 50.6315 Sum 330 and -322. 8 What is -4.7 + -0.136? -4.836 0.1+58 58.1 Add together 0.983 and 92. 92.983 What is 11520364 + 0.2? 11520364.2 What is 2 minus 732? -730 -11382.1+-0.2 -11382.3 Total of -103 and -0.7. -103.7 What is 20 - 0.1284? 19.8716 What is -0.11 plus 366973? 366972.89 What is -5971 minus 0.217? -5971.217 Calculate 0.0098466 - -2. 2.0098466 Work out -0.35 + 253.6. 253.25 Calculate 3924 - -1. 3925 Add -0.4 and 971323. 971322.6 -0.0604 - 159 -159.0604 -293 + -5 -298 What is -52.863 take away 7? -59.863 Work out 0 - -1801. 1801 Work out 21.1489 - -0.2. 21.3489 Work out -5 + 1618497. 1618492 Put together 29 and -70. -41 Subtract 37220 from 1. -37219 Sum -189 and -3899. -4088 Work out -2 + 0.48287. -1.51713 What is 0.5091 take away 0.04? 0.4691 Work out 0.08 - 0.502. -0.422 Work out 111594 - 0.4. 111593.6 What is -0.5 plus 113.18? 112.68 What is -548.5 take away 4? -552.5 -0.06+-0.015586 -0.075586 What is 259676 - 0.1? 259675.9 What is -46 plus 0.19? -45.81 Work out 251 + 0. 251 Subtract 0.017 from 40. 39.983 Sum 0.13 and -180829. -180828.87 Total of 0.41 and -11.167. -10.757 Work out 0.1 - 0.248. -0.148 What is the distance between 105.841 and 0.15? 105.691 -2 - 0.043215 -2.043215 What is 15655 plus 22? 15677 Work out -1 - 53911. -53912 Add 0.069 and 107. 107.069 What is -0.7841 - 2? -2.7841 Work out -0.14 - 712.7. -712.84 393 - -15.85 408.85 Add 86744 and 0.133. 86744.133 Calculate 405992 + -8. 405984 -239863 + 0.49 -239862.51 What is -378.38 plus -5? -383.38 Sum -11271 and 0. -11271 -1.03 + -672 -673.03 5049 + 0.5 5049.5 What is the distance between 4714110 and -0.2? 4714110.2 Total of -2637 and -148. -2785 What is 717.535 + -0.4? 717.135 2+61.029 63.029 Subtract -0.03 from -26133. -26132.97 What is -99.4 - 0.41? -99.81 Work out 5 + 60498. 60503 Calculate -1783 - -119. -1664 What is 7423803 + 0.2? 7423803.2 What is -104 - 295? -399 Add -5.28851 and 0.03. -5.25851 0.008 + -0.26479 -0.25679 Calculate 146 + 280. 426 Add together 4 and 3.35434. 7.35434 What is the difference between -0.055 and 32.913? 32.968 What is the distance between 214 and -48.7? 262.7 Add together -658993 and 3. -658990 What is 154.537 - 0.14? 154.397 Add -1 and -165173. -165174 Total of -22.4 and -2.8. -25.2 What is 34 + -0.028? 33.972 Subtract -0.3 from 29585. 29585.3 Add together -0.2 and 1161. 1160.8 What is -0.03 less than -0.255? -0.225 Calculate 0.05 + -2.46. -2.41 -0.70282 + -4 -4.70282 Work out 1415 - 0.3. 1414.7 What is 0 minus 35.18? -35.18 Total of 4 and 0.1455. 4.1455 Calculate -92 + -41615. -41707 Work out 0.5 - 118. -117.5 Sum 1 and -0.06886. 0.93114 -0.4 - -3225 3224.6 Calculate 0.07 - -0.004. 0.074 What is 49542 less than -6? -49548 Sum -0.1 and 184.105. 184.005 Calculate -69 - 5130. -5199 Total of 966 and 0.4. 966.4 Total of 3.625891 and 2. 5.625891 What is -5228 - 0.2? -5228.2 Subtract 13.31 from 1. -12.31 What is the distance between -4 and -158262? 158258 Sum -0.195 and 0.5. 0.305 Sum -1 and -0.08. -1.08 What is -388 + -3.5? -391.5 -56574+-62 -56636 Total of -177083 and 0.8. -177082.2 Calculate -63 + -13.9. -76.9 What is 0.079963 less than 0.2? 0.120037 Add together 0.23 and 0.698. 0.928 0.156+-5 -4.844 What is 2 less than -45.472? -47.472 Put together -3.29 and 0.1. -3.19 Work out -1.4 - -1507. 1505.6 Add together 33046 and -0.2. 33045.8 -2.6+816 813.4 What is -2.21 plus -0.495? -2.705 Work out 1.591 + -2.19. -0.599 Subtract 7620 from -5. -7625 What is 0.24 minus -14.04? 14.28 Subtract 6.89 from -0.5. -7.39 What is 12.72 - 550? -537.28 Calculate -22251 - -119. -22132 582 + 119 701 What is -0.9 plus 131? 130.1 Put together 7 and 0.051. 7.051 Calculate -0.004 + 1.5218. 1.5178 Add -0.10305584 and 2. 1.89694416 Add 6942 and 0.463. 6942.463 380 + -5.1 374.9 What is -22.08 take away -0.5? -21.58 0.1491 - 0.06 0.0891 Put together 0.3 and 4.5344. 4.8344 -60 - -0.399 -59.601 -0.3 - -446958 446957.7 Calculate 2076 - -10. 2086 What is 0.12 - 7791.7? -7791.58 Work out -6 - -4.39. -1.61 Calculate 19.6 - -2. 21.6 Put together -64754.2 and 0.3. -64753.9 Put together -392 and 80. -312 2.2 + -55 -52.8 What is 153.7 - 214? -60.3 What is -7.2 take away -0.9? -6.3 3.904+0.4 4.304 What is 0.2 take away -0.04628? 0.24628 Calculate -0.1184 + -109. -109.1184 Add 2071 and 7. 2078 Work out -4 + -421. -425 -0.15483 + 0 -0.15483 Sum 2 and 149.91. 151.91 What is 34.856 plus 5? 39.856 Subtract 13043.3 from -0.1. -13043.4 Calculate -12855 + 2. -12853 Sum -0.04 and -22.5. -22.54 Calculate 0.611 + 2. 2.611 What is -1.39 minus -7? 5.61 What is the difference between -12 and 340? 352 What is the distance between -22 and 5059? 5081 Add -423818 and -0.1. -423818.1 -24738 + 2 -24736 What is the difference between 0.2 and 21527? 21526.8 -68064+21 -68043 What is -0.1908 plus 0.6? 0.4092 15.3 + -0.021 15.279 What is -11886561 - 0.4? -11886561.4 Add 0.03 and 0.34. 0.37 What is -0.4 minus 272? -272.4 What is -3 + 61454? 61451 What is 7.8 plus 239? 246.8 Calculate -1862 + 0.01. -1861.99 13.139 - -3 16.139 What is 290 less than -3? -293 What is the distance between 5.78 and -7? 12.78 What is the difference between 105 and 27.8? 77.2 What is 31883 plus -0.4? 31882.6 What is the difference between -0.17179 and -1? 0.82821 Work out -5 - -0.344. -4.656 What is 2 take away 1836? -1834 0.7 + 2181 2181.7 -69.8 + 10.6 -59.2 Work out -7 - 133.39. -140.39 -0.2 + 0.01223 -0.18777 Calculate -3 + -0.10573. -3.10573 Put together 0.2 and 62785. 62785.2 -6.199 - 0.22 -6.419 What is -3.51 + -0.5? -4.01 What is 1 - -23812? 23813 Work out -5.1099 - -0.4. -4.7099 What is 35 take away -2.8? 37.8 Work out -0.0765591 + 2. 1.9234409 What is 0.03 minus 37.619? -37.589 Calculate 130 + 3396.6. 3526.6 Put together 34505 and 0.4. 34505.4 What is 196.6 less than 2? -194.6 8+-10110 -10102 What is -0.1439 plus 8.6? 8.4561 What is 0 take away 40937? -40937 What is 0.2 plus -0.0497? 0.1503 Add together 0.19 and -1.91. -1.72 Add together 0.738 and -64.23. -63.492 Subtract -99 from -25.208. 73.792 -184.88+-0.07 -184.95 What is -4 - 0.68? -4.68 What is 543606 less than -0.7? -543606.7 Total of -0.01537 and 5. 4.98463 Work out 531 + 3. 534 What is 1 take away 2564204? -2564203 Work out -4622 + 5. -4617 What is 0.1 + 1603802? 1603802.1 Calculate -2663719 - 0.3. -2663719.3 What is 0.17987 take away -2.3? 2.47987 Calculate 21677 + -313. 21364 Work out 2448 + -2. 2446 759+-97 662 What is 16 take away -2472? 2488 -6587+-0.392 -6587.392 What is the distance between 250 and -1? 251 Sum -2.2 and 10. 7.8 What is 0.09 plus 2.4? 2.49 0.01 - 9.7084 -9.6984 -0.025 + 347 346.975 What is -0.18431 - -1? 0.81569 What is the difference between 0.04 and -476.5? 476.54 What is the distance between 0.059 and -20.7? 20.759 Sum -0.092 and -1.6531. -1.7451 What is 2 + 11.215? 13.215 What is 5.2 plus -1492? -1486.8 Calculate 507 + 7. 514 What is -0.5 less than 1.215095? 1.715095 What is the difference between -101105 and -0.8? 101104.2 What is the difference between -1 and -41.437? 40.437 Calculate 11 + -137968. -137957 What is -1.4117 plus 2? 0.5883 What is -12.7 less than 37.6? 50.3 Calculate -0.101 + 585. 584.899 Total of -0.01343 and -7.2. -7.21343 -17967 - 0.5 -17967.5 Calculate 1.221 - -0.1. 1.321 What is 10934 less than -0.1? -10934.1 Subtract -82 from -214. -132 What is -5 + -809? -814 Total of 0.39 and 33. 33.39 What is 14 minu
{ "pile_set_name": "DM Mathematics" }
36 + 0.036. Let u = a - f. What is u rounded to four dps? -0.0016 Let t = -1.6 - 7.4. Let p = 5 + t. Let d = p + 4.16. What is d rounded to 2 decimal places? 0.16 Let o = 0.12 - -5.88. Let g = o - 6.12. Let b = g - -0.1199999. Round b to six decimal places. 0 Let y = -1.1299668 - -1.13. What is y rounded to 6 dps? 0.000033 Let z = -1911.5830308 + 915.5830777. Let c = z + 996. Round c to 6 dps. 0.000047 Let l = -0.040899 - -0.0385441. Round l to 4 decimal places. -0.0024 Let y = -2178.989 + 2180. What is y rounded to two dps? 1.01 Let r = -72 - -71.45. Round r to the nearest integer. -1 Let v = 3.058 - 303.158. Round v to the nearest 10. -300 Let c be (30/4)/(12/(-36736)). Let b be c/(-42) - 1/(-3). Round b to the nearest 100. 500 Let a(i) = -i - 1. Let m(r) = 8*r + 14. Let d(n) = -6*a(n) - m(n). Let k be d(-9). Let o be (-6798)/8 + k/(-40). What is o rounded to the nearest one hundred? -900 Let t = 0.4694 - -0.0606. Round t to one dp. 0.5 Let b = 0.052 - -40.948. Let z = 43.9 - b. Round z to the nearest integer. 3 Let d = 37 + -25. Let h = d - 4. Let b = h + -7.99999993. What is b rounded to seven dps? 0.0000001 Let q = -27.9999991225 + 28. What is q rounded to seven dps? 0.0000009 Let m = 0.037 - 0.076. Let x = 0.03972 + m. What is x rounded to four decimal places? 0.0007 Let x(m) = -m**2 - 5*m. Let n be x(-4). Suppose 3*u = w - 11103, 0 = -2*u - 8*w + n*w - 7388. What is u rounded to the nearest 1000? -4000 Let f = -0.22 + 106.22. Let u = f - 105.9999803. What is u rounded to 6 decimal places? 0.00002 Let k = 38.36 - 38.32147. Round k to 2 dps. 0.04 Let n be -4 - (-3 + 2)*97. Let t be n/2 - 6/(-12). Let d = -157 + t. Round d to the nearest one hundred. -100 Let q = 133 + -124.3. Let p = q + -9.156. Let t = 0.238 + p. Round t to two dps. -0.22 Let p = -326.9964 + 205.99621. Let j = -121 - p. Round j to five decimal places. 0.00019 Let o be (-6)/4 - 130498/(-4). Suppose 303377 = -6*v - o. What is v rounded to the nearest 10000? -60000 Let g = 0.1443 + -0.7573. Let r = 271.387 - g. Let j = r + -271.99891. What is j rounded to 4 dps? 0.0011 Let n(f) = 25*f - 9. Let r(y) = -8 + y**2 + 2*y - 2*y - y. Let q be r(4). Let h be n(q). Round h to the nearest 10. 90 Let g = 40.148 + 2.172. Let f = g - -0.68. Let i = -49.3 + f. What is i rounded to the nearest integer? -6 Let a = 346.6 - 349. Let t = -5.787 + 3.39. Let i = t - a. What is i rounded to 3 dps? 0.003 Let i = 2101.99998493 - 2102. Round i to 6 dps. -0.000015 Let l = 179 + -510. Let b = 243278167 - 243277835.999678. Let p = l + b. Round p to five dps. 0.00032 Suppose -23 = -4*z + n, 0*z - z + 17 = -4*n. Suppose 7 - 2 = z*w. Let m be (-69 + 0)/((-1)/w). Round m to the nearest ten. 70 Let j = 0.72 - 0.22. Let d = -96 - -97.13. Let l = d - j. What is l rounded to one decimal place? 0.6 Let d = -80766.29 - -80766.285199723. Let v = d + 0.0048. Round v to 7 dps. -0.0000003 Let b = 37326535.999765 - 37326437. Let j = b + -99. What is j rounded to 4 dps? -0.0002 Suppose 0 = -11*k + 13*k - 10. Suppose k*y + 22850016 = 4*z, -5*y + 3*z - 8211278 = 14638734. What is y rounded to the nearest one hundred thousand? -4600000 Let t = 16794 + -42494. Round t to the nearest 1000. -26000 Suppose d = 2*d. Suppose -6*r + r + 1330030 = d. Suppose -88994 - r = -5*m. What is m rounded to the nearest ten thousand? 70000 Let n = 329 - 328.99004. Let r = -0.3 + 0.29. Let p = n + r. Round p to 5 decimal places. -0.00004 Let d = 4333025 + 1262102. Suppose 15 = p - 4*p, 0 = 4*a - p - 48780513. Let h = d - a. Round h to the nearest one million. -7000000 Let g(r) = r**3 - 5*r**2 - 28*r + 22. Let s be g(18). Round s to the nearest 100. 3700 Let u = 127.71 - 127. Let a = u - 0.03. What is a rounded to one dp? 0.7 Let d(k) = 18935*k**3 + 3426*k**3 + 2*k**2 + 12 - 10*k + 0*k. Let y be d(6). What is y rounded to the nearest 1000000? 5000000 Let v = -29 + 33. Suppose 0 = v*f + 2427 - 11147. What is f rounded to the nearest 100? 2200 Suppose -2852 = 3*h + 70. Let y = -394 - h. Let l = y - 3580. Round l to the nearest one thousand. -3000 Let o = 16483314 - -324468239. Let v = o - 340951393.0000101. Let x = v - 160. What is x rounded to six decimal places? -0.00001 Let p = -8.681 - -8.63533. Round p to 2 decimal places. -0.05 Let t = 96.082 + -96. Let u = 0.055 - t. Round u to 2 dps. -0.03 Let g = -9 - -13. Suppose -g*h = -1088385 - 1111599. Let q be -2 + 3 + h - -3. What is q rounded to the nearest one hundred thousand? 600000 Let p = 0.2122 - -2.5448. What is p rounded to 1 decimal place? 2.8 Let d = -4 + -2. Let c be 583199982/(-54) + 2/d. Round c to the nearest one million. -11000000 Let b = 0.31 + -6.31. Let l = -5.99999961 - b. What is l rounded to seven decimal places? 0.0000004 Let r = -22.3799492 - -0.3800052. Let b = -42 + 64. Let u = r + b. What is u rounded to five dps? 0.00006 Let m = 21077 - 21042.946. Let x = m - 34. Let s = x - 0.464. What is s rounded to one dp? -0.4 Let c = -20 + 29. Let a = c - 10.04. Let v = -1.6 - a. What is v rounded to 1 dp? -0.6 Let h = 3050.0002722 - 3050. What is h rounded to 5 dps? 0.00027 Suppose 0 = 5*q - 29378 - 102472. Round q to the nearest 1000. 26000 Let h be (-1251)/(((-33)/2)/11). Suppose 0 = -o + 2*y - h, -5*o - 4142 = -2*y + 6*y. What is o rounded to the nearest 100? -800 Suppose -6 = -p - 2. Let j be p/5 - (-13849980)/25. What is j rounded to the nearest one hundred thousand? 600000 Suppose -5*w + 24193145 - 238043145 = 0. Round w to the nearest one million. -43000000 Let x = -5035725.000145 + 5035748. Let z = 0.23 + -23.23. Let q = x + z. Round q to 5 decimal places. -0.00015 Let c = -208.99657428 - -296.99657369. Let v = -0.176 + -87.824. Let l = c + v. Round l to 7 decimal places. -0.0000006 Let r = 75.6 + -62. Let u = r + -56.7. Let q = 46 + u. Round q to zero decimal places. 3 Let m be (-41494 + -3)/(-1) + 3. Suppose -l = -6*l + 2*x + m, 24900 = 3*l - 5*x. What is l rounded to the nearest one thousand? 8000 Let x(d) = 3*d**2 - 2*d - 1. Let n be x(5). Let s be ((-12)/(-40)*15)/(1/30). Let t = s - n. Round t to the nearest 10. 70 Let a = -363.7 - -406. What is a rounded to 0 dps? 42 Let o = 271 + -270.99505. Round o to three dps. 0.005 Suppose -3*x + 3*g + 31488 = 0, -5*x = -3*g - 13302 - 39178. Round x to the nearest 1000. 10000 Let s = 22768 + -23184.68. Let i = 428 + s. Let w = -0.52 + i. Round w to the nearest integer. 11 Let f = -7.19 + 6.319. What is f rounded to 1 dp? -0.9 Let d(k) = 20612*k**2 + 12. Let y = 3 + 4. Let x be d(y). What is x rounded to the nearest one hundred thousand? 1000000 Let k be 2 + (-71881472)/(-9) + 4/(-18). Suppose -7*s + 3213168 = -k. Round s to the nearest 1000000. 2000000 Suppose 5 = w + 1, 0 = -5*s + 4*w - 7396. What is s rounded to the nearest one hundred? -1500 Let i = -53.438 - -53.3. Round i to three decimal places. -0.138 Let j = -94.6 - -29.1. Let i = j - -44. What is i rounded to zero dps? -22 Let o = -31 - -8. Let a = -22.914 - o. Let f = a + -10.186. What is f rounded to 0 dps? -10 Let k(h) = 9874*h - 150. Let z be k(-25). Round z to the nearest one hundred thousand. -200000 Suppose 7*x - 46400 = -x. What is x rounded to the nearest ten thousand? 10000 Let q(g) = -51407*g**2 + 3*g - 2. Let n be q(1). Let o be (468/15)/(4/43770). Let m = o + n. What is m rounded to the nearest one hundred thousand? 300000 Let q(n) = -79*n + 1 - 714*n - 458*n. Let h be q(-2). Let z = h - 3603. What is z rounded to the nearest one thousand? -1000 Let d = 35.5 + -29. Let g = -10056508.500043 + 10056515. Let m = d - g. Round m to five dps. 0.00004 Let f(v) = 559184*v**2 + 2*v - 2. Suppose -3*j = k - 3*k + 13, 5*j = 3*k - 23. Let y be f(j). Suppose 0 = 7*z - 6*z + y. Round z to the nearest 1000000. -27000000 Let w = 56 + -55.89. Let t = w - -0.174. Round t to two dps. 0.28 Let l = 873.000001586 + -873. Round l to seven dps. 0.0000016 Let m = -3 - 6. Let f = -34 + m. Let u = f + -6. What is u rounded to the nearest 10? -50 Suppose 3*b - 6*l - 24659996 = -10*l, 0 = b + 5*l - 8219995. Round b to the nearest 100000. 8200000 Let z be (-6)/(-10) - 41777999802/(-330). What is z rounded to the nearest 1000000? 127000000 Let u be ((-51)/(-1) - 2)/(1/268). Round u to the nearest 100. 13100 Let g = 0.19314 + -367.93314. Let v = g - -364. Round v to one decimal
{ "pile_set_name": "DM Mathematics" }
w: 1, g: 6, k: 2, n: 4}. 4/35 Two letters picked without replacement from {b: 3, g: 1, m: 3, u: 2, s: 2, c: 3}. Give prob of picking 1 g and 1 b. 3/91 Two letters picked without replacement from siisizzzssiszsz. Give prob of picking 1 s and 1 z. 2/7 Two letters picked without replacement from yruuzjn. What is prob of picking 1 r and 1 z? 1/21 What is prob of picking 3 e when three letters picked without replacement from {z: 4, b: 6, e: 6, j: 1}? 1/34 Four letters picked without replacement from {s: 3, c: 1, n: 4, z: 4, k: 4}. What is prob of picking 2 k, 1 s, and 1 n? 18/455 Four letters picked without replacement from {g: 1, m: 11, v: 3}. Give prob of picking 4 m. 22/91 What is prob of picking 2 j when two letters picked without replacement from ujtocjuouoootucuoooc? 1/190 Calculate prob of picking 1 h and 1 c when two letters picked without replacement from {h: 4, d: 3, a: 2, b: 1, c: 6}. 1/5 What is prob of picking 1 o, 1 k, and 2 m when four letters picked without replacement from {o: 5, a: 2, s: 1, k: 4, q: 1, m: 7}? 28/323 Calculate prob of picking 1 k and 1 w when two letters picked without replacement from mtwpwskt. 1/14 Calculate prob of picking 2 e and 1 c when three letters picked without replacement from {e: 2, c: 4, s: 1}. 4/35 Calculate prob of picking 1 k, 2 j, and 1 l when four letters picked without replacement from vkbvlvvzjvjvkkb. 1/455 Calculate prob of picking 1 o, 1 h, and 1 r when three letters picked without replacement from hggohorhohghg. 15/286 Two letters picked without replacement from {b: 3, e: 5, r: 6, u: 3}. What is prob of picking 1 e and 1 r? 15/68 What is prob of picking 1 o, 2 i, and 1 u when four letters picked without replacement from oiiuuoiouuu? 3/22 Two letters picked without replacement from {x: 4, w: 2, c: 1, j: 1, z: 2}. Give prob of picking 1 c and 1 z. 2/45 Calculate prob of picking 1 s, 1 i, and 1 f when three letters picked without replacement from {s: 3, i: 2, f: 5, d: 10}. 1/38 Calculate prob of picking 2 x when two letters picked without replacement from {x: 2, d: 2}. 1/6 Calculate prob of picking 2 p, 1 n, and 1 j when four letters picked without replacement from prpppjjprpnnpppnjn. 12/85 Two letters picked without replacement from iiigiigiiiii. Give prob of picking 2 g. 1/66 Three letters picked without replacement from ufuppffhfhffuhh. Give prob of picking 1 h, 1 p, and 1 u. 24/455 Three letters picked without replacement from ljvvvljvvl. What is prob of picking 1 v and 2 j? 1/24 Three letters picked without replacement from {x: 1, m: 1, p: 1, y: 1, j: 4}. What is prob of picking 1 y, 1 j, and 1 x? 1/14 What is prob of picking 1 q and 1 u when two letters picked without replacement from yuvtuyqviqyv? 2/33 What is prob of picking 3 k when three letters picked without replacement from fkuuukiujukfkkk? 4/91 Two letters picked without replacement from {l: 3, g: 4, p: 2, w: 4, y: 1, f: 6}. Give prob of picking 1 y and 1 g. 2/95 What is prob of picking 2 t when two letters picked without replacement from {q: 1, w: 1, t: 2}? 1/6 What is prob of picking 3 a and 1 h when four letters picked without replacement from axaxxaxahahaa? 14/143 Calculate prob of picking 1 z and 1 s when two letters picked without replacement from bfdrsfdz. 1/28 Two letters picked without replacement from doooldkkdkdidkok. What is prob of picking 1 d and 1 i? 1/24 Calculate prob of picking 2 u when two letters picked without replacement from {u: 2, t: 11, h: 1}. 1/91 What is prob of picking 2 v and 1 u when three letters picked without replacement from {d: 4, j: 2, u: 2, v: 1, m: 1}? 0 Four letters picked without replacement from uxuousuuuzxzzx. What is prob of picking 1 o, 1 z, 1 u, and 1 s? 18/1001 Three letters picked without replacement from jpbpjjjpobbjj. Give prob of picking 1 j, 1 o, and 1 b. 9/143 Four letters picked without replacement from vhhhhhhhhhhhvhvh. What is prob of picking 4 h? 11/28 Three letters picked without replacement from {z: 1, h: 4, l: 1, e: 1, p: 2}. What is prob of picking 1 z, 1 e, and 1 l? 1/84 Calculate prob of picking 1 u and 1 n when two letters picked without replacement from {n: 2, u: 8, y: 9}. 16/171 Three letters picked without replacement from vvvbvvbv. What is prob of picking 2 b and 1 v? 3/28 Two letters picked without replacement from {w: 1, m: 1, b: 1, p: 1, v: 1}. What is prob of picking 1 b and 1 m? 1/10 Four letters picked without replacement from kmbzmmkmkkkkbkkp. Give prob of picking 1 p, 2 m, and 1 b. 3/455 What is prob of picking 3 v and 1 u when four letters picked without replacement from {v: 4, u: 2, b: 6}? 8/495 Two letters picked without replacement from aeadeadaaddaf. Give prob of picking 1 a and 1 e. 2/13 Calculate prob of picking 1 i, 1 y, 1 w, and 1 u when four letters picked without replacement from iuwuynnniinynuwwynin. 36/1615 What is prob of picking 1 a and 1 g when two letters picked without replacement from {b: 5, g: 7, a: 2}? 2/13 What is prob of picking 1 s and 1 p when two letters picked without replacement from ooooooopoooopsospo? 2/51 Calculate prob of picking 3 f and 1 u when four letters picked without replacement from {f: 4, d: 2, u: 7}. 28/715 Four letters picked without replacement from {r: 2, y: 3, j: 4, f: 1, z: 4}. Give prob of picking 2 z and 2 r. 6/1001 Calculate prob of picking 1 o, 1 g, 1 v, and 1 r when four letters picked without replacement from yoyyvgr. 1/35 What is prob of picking 4 c when four letters picked without replacement from {c: 9, h: 3}? 14/55 Three letters picked without replacement from {c: 5, r: 1, l: 3}. What is prob of picking 3 l? 1/84 Two letters picked without replacement from tnnznhtnhpnyhphnhzz. What is prob of picking 1 n and 1 h? 10/57 Calculate prob of picking 1 t and 3 u when four letters picked without replacement from uuuuuuuuuuuuuuuuutu. 4/19 Four letters picked without replacement from uqquuuuuuuuuu. What is prob of picking 4 u? 6/13 What is prob of picking 2 w when two letters picked without replacement from {w: 7}? 1 Two letters picked without replacement from {g: 2, j: 4, x: 3, m: 1}. Give prob of picking 2 m. 0 Calculate prob of picking 2 m and 1 k when three letters picked without replacement from {g: 6, k: 1, b: 2, m: 2}. 1/165 What is prob of picking 2 i when two letters picked without replacement from {j: 1, i: 3}? 1/2 Calculate prob of picking 1 m and 2 l when three letters picked without replacement from {w: 7, g: 1, m: 4, s: 3, l: 4}. 8/323 What is prob of picking 1 s and 1 h when two letters picked without replacement from {n: 3, h: 2, p: 3, s: 1, r: 3, c: 3}? 2/105 What is prob of picking 2 n when two letters picked without replacement from {r: 5, y: 6, z: 2, n: 2, j: 1}? 1/120 Calculate prob of picking 1 t and 2 f when three letters picked without replacement from {a: 1, v: 1, t: 3, f: 5, s: 1, m: 1}. 3/22 Calculate prob of picking 4 i when four letters picked without replacement from {i: 10}. 1 Calculate prob of picking 1 f and 1 x when two letters picked without replacement from {f: 2, k: 1, x: 2}. 2/5 Three letters picked without replacement from {x: 7, d: 12}. Give prob of picking 2 d and 1 x. 154/323 Four letters picked without replacement from tattttttattttttttt. Give prob of picking 1 a and 3 t. 56/153 Four letters picked without replacement from {h: 4, g: 3, l: 2}. Give prob of picking 3 g and 1 h. 2/63 What is prob of picking 1 k and 2 r when three letters picked without replacement from kptddrrppkptp? 1/143 Calculate prob of picking 2 q, 1 p, and 1 s when four letters picked without replacement from {p: 7, q: 2, r: 8, s: 2}. 7/1938 Four letters picked without replacement from pppbsbppspppbbph. Give prob of picking 1 s, 1 h, and 2 p. 18/455 Calculate prob of picking 2 t when two letters picked without replacement from tqtelllllttt. 5/33 Calculate prob of picking 1 g and 1 u when two letters picked without replacement from dghggpug. 1/7 Four letters picked without replacement from {k: 4, e: 5, b: 2}. What is prob of picking 2 b and 2 e? 1/33 Three letters picked without replacement from {i: 6, z: 1, f: 4, y: 7}. What is prob of picking 2 y and 1 f? 7/68 Three letters picked without replacement from yudviuyikyvi. What is prob of picking 1 k and 2 i? 3/220 What is prob of picking 2 d when
{ "pile_set_name": "DM Mathematics" }
that 5*b**2 - 2227885*b/3 + 1485250/3 = 0. 2/3, 148525 Factor 17*i**2 + 6762*i - 13592. (i - 2)*(17*i + 6796) Suppose 5*v**3 - 1215*v**2 - 36200*v - 67500 = 0. Calculate v. -25, -2, 270 Find n, given that -2*n**5/13 + 27024*n**4/13 - 91260036*n**3/13 - 14054560*n**2 + 273942294*n/13 = 0. -3, 0, 1, 6757 Suppose 5*q**2 - 9539870*q + 4550455980845 = 0. What is q? 953987 Factor 268*v**2 - 211444*v - 6312. 4*(v - 789)*(67*v + 2) Suppose -2*f**3/3 + 28070*f**2/3 + 112322*f/3 - 140390/3 = 0. Calculate f. -5, 1, 14039 Let -285*z**4 - 80661*z**3 - 1413*z**2 + 80661*z + 1698 = 0. What is z? -283, -1, -2/95, 1 Determine v, given that 7*v**5 - 5500*v**4 - 11003*v**3/7 - 786*v**2/7 = 0. -1/7, 0, 786 Factor -x**2 - 1494*x - 326648. -(x + 266)*(x + 1228) Determine j, given that -j**2/6 + 68459*j/2 + 102689/3 = 0. -1, 205378 Factor -112*v**2 + 3284*v + 10860. -4*(v + 3)*(28*v - 905) Factor -2*d**3/5 - 60*d**2. -2*d**2*(d + 150)/5 Suppose 2*v**2/7 - 19948*v/7 + 49740338/7 = 0. Calculate v. 4987 Factor 4*u**2 - 277640*u - 1943676. 4*(u - 69417)*(u + 7) Factor n**3 + 37*n**2 - 160*n + 164. (n - 2)**2*(n + 41) Suppose -2*o**5/17 + 92*o**4/17 + 94*o**3/17 = 0. Calculate o. -1, 0, 47 Let -4*c**3 - 178648*c**2 + 357308*c - 178656 = 0. Calculate c. -44664, 1 Let 51*d**3 - 14322*d**2 + 67851*d + 12420 = 0. Calculate d. -3/17, 5, 276 Factor -8*s**3 + 764*s**2 - 12456*s + 11700. -4*(s - 75)*(s - 1)*(2*s - 39) What is h in -h**4/2 + 12791*h**3/2 - 40831979*h**2/2 - 450700811*h/2 = 0? -11, 0, 6401 Let z**4/3 - 127*z**3/3 + 3926*z**2/3 - 3800*z/3 = 0. What is z? 0, 1, 50, 76 Find a such that 4*a**3 - 632*a**2 - 3244*a - 2608 = 0. -4, -1, 163 Factor p**3/7 + 152*p**2 + 6357*p/7 + 9522/7. (p + 3)**2*(p + 1058)/7 Let 50*v**5/17 + 18694*v**4/17 + 1727406*v**3/17 - 3723158*v**2/17 + 2189072*v/17 - 212064/17 = 0. What is v? -188, 3/25, 1 Determine z, given that 2*z**5 + 52*z**4 - 30414*z**3 + 1706936*z**2 - 28765088*z + 27088512 = 0. -159, 1, 44 Solve 121*s**4/10 + 49687*s**3/10 - 211836*s**2/5 + 74566*s/5 - 6704/5 = 0 for s. -419, 2/11, 8 Factor 21*p**2/5 - 1648212*p/5 + 470916/5. 3*(p - 78486)*(7*p - 2)/5 Find k such that 3*k**3 - 450*k**2 - 909*k - 456 = 0. -1, 152 Solve 25*y**5 + 42305*y**4 - 161100*y**3 + 34060*y**2 + 237440*y = 0. -1696, -1, 0, 2, 14/5 Let k**4 + 223*k**3 + 9447*k**2 - 353871*k - 363096 = 0. What is k? -123, -1, 24 Factor -2*i**3/7 + 156720*i**2/7 - 3070144800*i/7. -2*i*(i - 39180)**2/7 Determine o, given that 2*o**3/11 - 228*o**2/11 + 3264*o/11 + 18496 = 0. -22, 68 Factor -5*m**3 - 25*m**2 + 250*m. -5*m*(m - 5)*(m + 10) Factor 3*b**5 + 3147*b**4 - 203763*b**3 + 3203013*b**2. 3*b**2*(b - 31)**2*(b + 1111) Find f, given that 2*f**3 + 63720*f**2 + 637050*f + 1592500 = 0. -31850, -5 Factor k**4/8 - 31*k**3/2 + 825*k**2/2 - 1468*k + 1408. (k - 88)*(k - 32)*(k - 2)**2/8 What is l in 2*l**3/9 + 48080*l**2/9 - 96166*l/9 + 16028/3 = 0? -24042, 1 Factor -64*z**2 - 268*z - 228. -4*(z + 3)*(16*z + 19) Suppose -2*m**2/11 - 2286*m/11 - 2284/11 = 0. What is m? -1142, -1 Factor -2*n**3 + 2100*n**2 + 25616*n - 135936. -2*(n - 1062)*(n - 4)*(n + 16) Find u such that -u**5/4 + 21*u**4/2 - 195*u**3/2 + 232*u**2 - 849*u/4 + 135/2 = 0. 1, 9, 30 Find b such that -3*b**2 - 3234732*b - 871957592652 = 0. -539122 Let 2*q**4/11 - 474*q**3/11 + 4134*q**2/11 - 6790*q/11 - 11400/11 = 0. What is q? -1, 5, 228 Factor 7*c**3/5 + 156*c**2 + 333*c/5. c*(c + 111)*(7*c + 3)/5 Solve 14*d**2/15 + 12202*d/15 + 10428/5 = 0 for d. -869, -18/7 Factor 26343*r**3 - 26337*r**2 - 6*r. 3*r*(r - 1)*(8781*r + 2) Solve 2*b**2 + 5370*b - 37688 = 0 for b. -2692, 7 Determine h so that 2*h**4/3 - 100080*h**3 + 11268007198*h**2/3 + 100080*h - 3756002400 = 0. -1, 1, 75060 Factor 4*n**4 + 272*n**3 + 1004*n**2 - 1280*n. 4*n*(n - 1)*(n + 5)*(n + 64) Factor f**3 + 40*f**2 - 84*f. f*(f - 2)*(f + 42) Suppose -4*h**3 + 348*h**2 - 9324*h + 71188 = 0. What is h? 13, 37 Factor -4*g**2/5 - 19752*g - 2663604/5. -4*(g + 27)*(g + 24663)/5 Determine h so that -4*h**2 + 120*h + 8316 = 0. -33, 63 Suppose -3*r**5 - 576*r**4 - 12195*r**3 + 1468914*r**2 - 21305844*r + 36842904 = 0. What is r? -118, 2, 21 Determine x so that 5*x**2/3 - 1472*x/3 + 5648 = 0. 12, 1412/5 Let -557162*z**2 + 557166*z - 4 = 0. Calculate z. 2/278581, 1 Solve 5*c**2 - 5535*c - 424440 = 0. -72, 1179 Solve -50*a**5 + 3580*a**4 + 55078*a**3 + 161712*a**2 - 220320*a = 0. -36/5, 0, 1, 85 Factor 4*o**3/5 - 244*o**2/5 + 3056*o/5 - 2816/5. 4*(o - 44)*(o - 16)*(o - 1)/5 Solve -4*t**2 + 51992*t - 168948004 = 0 for t. 6499 Let -4*q**4 + 1036*q**3 - 7856*q**2 - 43984*q - 48192 = 0. Calculate q. -2, 12, 251 Factor 8298738*k**3/5 - 240679698*k**2/5 + 472592*k/5 - 232/5. 2*(k - 29)*(2037*k - 2)**2/5 Solve 2*a**2/5 + 24*a/5 - 1386/5 = 0 for a. -33, 21 Factor 2*x**4 - 2752*x**3 + 834350*x**2. 2*x**2*(x - 925)*(x - 451) Factor -s**4/3 - 940*s**3 - 1965412*s**2/3 + 10663360*s - 128686336/3. -(s - 8)**2*(s + 1418)**2/3 Factor 1315*q**3 - 71000*q**2 + 958095*q + 7290. 5*(q - 27)**2*(263*q + 2) Determine i so that 4*i**5 - 1864*i**4 + 34164*i**3 - 85824*i**2 = 0. 0, 3, 16, 447 Determine l, given that -12716*l**5/3 - 199886*l**4/3 - 757016*l**3/3 + 223496*l**2/3 - 19840*l/3 + 512/3 = 0. -8, 1/22, 2/17 Determine t so that 36*t**4 - 3864*t**3 + 5104*t**2 - 1696*t = 0. 0, 2/3, 106 Let -20*g**2 - 169764*g - 33952 = 0. What is g? -8488, -1/5 Find n, given that -64*n**5 - 49888*n**4 + 684732*n**3 - 333008*n**2 + 41236*n = 0. -793, 0, 1/4, 13 Factor -2*h**3 + 2291*h**2/2 - 6267*h/2 - 855. -(h - 570)*(h - 3)*(4*h + 1)/2 Factor -2*n**4/7 - 609608*n**3/7 - 1828812*n**2/7 - 1828808*n/7 - 87086. -2*(n + 1)**3*(n + 304801)/7 Find r, given that r**3 - 1039*r**2 + 4143*r - 3105 = 0. 1, 3, 1035 Let -8*x**3 + 2023904*x**2 - 2023898*x + 505974 = 0. Calculate x. 1/2, 252987 Find o such that -21*o**4/8 - 2673*o**3/8 - 2316*o**2 - 5049*o/2 - 540 = 0. -120, -6, -1, -2/7 Factor 3*k**3 - 6519*k**2 + 167973*k - 1088529. 3*(k - 2147)*(k - 13)**2 Let 2*y**2 - 496744*y + 30844325192 = 0. What is y? 124186 Determine u, given that 3*u**2 + 23013*u - 161238 = 0. -7678, 7 What is x in -5*x**3 - 2870*x**2 + 267540*x - 5803560 = 0? -658, 42 Solve -c**2/5 + 5116*c/5 + 15393 = 0. -15, 5131 Find t such that -25*t**5 + 23420*t**4 - 65440*t**3 + 56050*t**2 - 9335*t - 4670 = 0. -1/5, 1, 934 Factor -2*h**2 + 5022*h. -2*h*(h - 2511) Find c, given that 55*c**3 + 4892*c**2 + 80803*c - 4422 = 0. -67, -22, 3/55 Factor c**3/4 + 195*c**2/4 + 329*c. c*(c + 7)*(c + 188)/4 Factor -4*i**2 + 25248*i + 50512. -4*(i - 6314)*(i + 2) Solve s**5/3 + 8*s**4 + 70*s**3 + 800*s**2/3 + 375*s = 0. -9, -5, 0 What is u in 4*u**4 + 23704*u**3 + 142116*u**2 + 213136*u + 94720 = 0? -5920, -4, -1 Factor -2*c**2 + 1454*c - 7220. -2*(c - 722)*(c - 5) Factor 2*v**2/7 - 90*v/7 - 38468/7. 2*(v - 163)*(v + 118)/7 Factor -80730225*d**4/7 + 645859770*d**3/7 - 1291827361*d**2/7 + 287528*d/7 - 16/7. -(d - 4)**2*(8985*d - 1)**2/7 Find i such that 3*i**2/2 - 125214*i + 2613090966 = 0. 41738 Determine h so that 3*h**2 + 4851*h + 57780 = 0. -1605, -12 Solve -f**2/2 - 477*f/2 - 2563 = 0. -466, -11 Solve 3*l**3/2 - 545*l**2/2 - 28507*l - 9472 = 0. -74, -1/3, 256 Suppose -4*s**4 - 248*s**3 - 880*s**2 + 2784*s = 0. What is s? -58, -6, 0, 2 Solve -80*r**5 + 33240*r**4 - 82685*r**3 + 35115*r**2 - 4130*r = 0 for r. 0, 1/4, 2, 413 Solve 3*j**4 - 3768*j**3 + 1656630*j**2 - 284589600*j + 13127163375 = 0. 71, 395 Solve 2*r**2 + 84732*r + 169456 = 0. -42364, -2 Find d, given that 2*d**5 + 11412*d**4 + 11410*d**3 = 0. -5705, -1, 0 Factor l**4 + 83236*l**3 + 1731308638*l**2 - 31183784748*l + 140357377449. (l - 9)**2*(l + 41627)**2 Find a such that a**3/4 - 33*a**2/4 - 46*a - 57 = 0. -3, -2, 38 Factor 3*u**2/4 - 1383*u/4 + 53757/2. 3*(u - 362)*(u - 99)/4 Solve -3*k**5/2 + 843*k**4/2 - 7389*k**3/2 + 12165*k**2/2 + 10200*k = 0 for k. -1, 0, 5, 272 Let 2*r**5/7 - 3932*r**4/7 + 1932492*r**3/7 + 169160*r**2/7 - 83265998*r/7 + 11595468 = 0. What is r? -7, 1, 6, 983 Factor -4*n**4 + 10688*n**3 - 7118160*n**2 - 28643904*n. -4*n*(n - 1338)**2*(n + 4) Determine m so that 5*m**2 + 25610*m + 25605 = 0. -5121, -1 Factor -h**3 - 2179*h**2 + 116065*h + 118243. -(h - 53)*(h + 1)*(h + 2231) Find i, given that 2*i**4 - 222*i**3 - 4766*i**2 + 15822*i - 10836 = 0. -21, 1, 2, 129 Find j such
{ "pile_set_name": "DM Mathematics" }
- 24*a**2 + 70*a - 45. What is the remainder when 708 is divided by k(21)? 96 Let s(h) = -h**3 + 9*h**2 - 18*h + 55. Let j(p) = -6*p + 17. What is the remainder when j(-6) is divided by s(7)? 26 Suppose 4*x = -20, 2*z + 3*x + 15 = 6*z. Suppose 0 = 2*p - z*p - 24. What is the remainder when (10/8)/((-10)/(-368)) is divided by p? 10 Suppose -169*q + 122*q + 5094 = 488. Calculate the remainder when 696 is divided by q. 10 Suppose -10929 - 18769 = -50*n - 10898. What is the remainder when n is divided by 333? 43 Suppose 8*k - 3*k - 230 = 0. Suppose 4*z + 1261 = -3*p - 142, 466 = -p - z. Let q = 486 + p. Calculate the remainder when k is divided by q. 21 Let y(z) = -2*z**3 - 11*z**2 - 7*z + 4. Let p(g) = g**3 + 9*g**2 - 10*g - 17. What is the remainder when p(-6) is divided by y(-5)? 11 Let a = 123867 - 123861. Let n = 7 - 5. Suppose n*b - 3 = 39. What is the remainder when b is divided by a? 3 Suppose -4*g = 3*h - 61 + 11, 10 = 5*h. Suppose -3*i + 644 = i. Let m = i + -153. What is the remainder when g is divided by m? 3 Let k = 144 + -136. Suppose 5*r + 6 + 9 = 0. What is the remainder when ((-2)/r)/((-2)/(-87)) is divided by k? 5 What is the remainder when 3 + 165 - 6 - (-4 + 1) is divided by 161? 4 Let k(r) = 458*r + 2797. What is the remainder when 481 is divided by k(-6)? 40 Suppose 25*z - 5581 = 6019. What is the remainder when z is divided by 91? 9 Calculate the remainder when (28 - 22) + (-5)/1 - -3395 is divided by 79. 78 Let s = 12145 - 7556. What is the remainder when s is divided by 164? 161 Let z(c) = -c**3 + 3*c**2 - 29*c + 143. What is the remainder when 1802 is divided by z(4)? 9 Suppose -4*k - 2832 = 13*k - 25*k. What is the remainder when k is divided by 54? 30 Let d = -2 - -1. Let g = 1960 - 1958. What is the remainder when d/3 - (-40)/12 is divided by g? 1 Let g be ((-159)/(-3))/(4/(-2) + 3). Suppose 6*q = 7*q - 4*l - 35, -3*q = l - g. Let t(z) = -z**2 + 20*z + 6. Calculate the remainder when t(q) is divided by 8. 1 Suppose -10*x + 3752 = 3652. Calculate the remainder when 447 is divided by x. 7 Let t be (-10)/(-20)*0*(-2)/2. Suppose 16*i - 215 - 745 = t. Calculate the remainder when i is divided by 26. 8 What is the remainder when 40542 is divided by (-1 - -6) + -6 + 4 + -159 + 207? 48 Let y be (105/10)/3*2. Suppose -4*k + 1 = -y. Suppose k*s = 5*s - 60. What is the remainder when 79 is divided by s? 19 Suppose -4*m + 7*m = q - 355, 0 = -5*m + 3*q - 597. Let i(r) = 22*r - 132. Let s be i(14). Let x = m + s. Calculate the remainder when x is divided by 30. 29 Let p(k) = -5*k - 28*k + 8185 - 8123. What is the remainder when p(0) is divided by 29? 4 Suppose -2*l - 3*d = -5*l + 180, -241 = -4*l + 5*d. Let h(p) = 4*p**2 + 348*p + 5174. What is the remainder when l is divided by h(-68)? 5 Suppose -83*m - 281*m + 2912 = 0. Calculate the remainder when 7917 is divided by m. 5 Suppose 88 + 1578 = 34*r. Let x = -68 - -73. Calculate the remainder when r is divided by x. 4 Suppose -48*x - 2*x + 3167 + 1683 = 0. What is the remainder when 955 is divided by x? 82 Suppose 333 = 2*i + 4*v + 117, 3*i - 2*v - 348 = 0. Suppose i = j + j. Let x = j + -38. What is the remainder when 71 is divided by x? 14 Suppose -8*y + 76 = 4. Suppose -11*z - y*z + 1960 = 0. Calculate the remainder when z is divided by 10. 8 Let k be (4 + -4)/(-1)*1. Suppose 484 = -4*n - k*n. Let j = 133 + n. Calculate the remainder when 34 is divided by j. 10 Let x = -10 - -88. Let k(f) = 5*f**2 - 9*f - 161. What is the remainder when k(-7) is divided by x? 69 Let z be 4/14 + 9/(-7). Let k(s) = 3336*s + 86739. Calculate the remainder when 5 + 2 + z + 1 is divided by k(-26). 1 Suppose -354 = -3*h - 3*o, -270 = -3*h + 5*o + 124. Calculate the remainder when 176 is divided by h. 53 Let r(p) = 67*p - 141. Let s be r(6). Calculate the remainder when 18/6 + -6 + s is divided by 10. 8 Let v = -1757 - -2326. What is the remainder when v is divided by 143? 140 Let q be 14/2 + (-115)/23. Suppose -q*j + 9 = -11. Calculate the remainder when 31 is divided by j. 1 Suppose f + f = 2*c + 70, 0 = 3*f + 4*c - 133. Suppose 66 = 3*m - 5*d, 3*m - d + 5*d = f. What is the remainder when 64 is divided by m? 13 Let j be (-2)/1*(-8)/4. Let m(q) = 2*q**2 - 3*q + 9*q - 119*q**3 - j*q. What is the remainder when m(-1) is divided by 30? 29 Let t(k) = 5*k**2 - 71*k + 26. Let x(i) = 7*i**2 + 7*i + 22. Calculate the remainder when t(16) is divided by x(-2). 26 Let h(s) = -2*s**3 - 35*s**2 - 28*s + 11. What is the remainder when h(-18) is divided by 140? 139 Suppose 4 + 28 = 4*m. Let x(p) = 106*p + 5. Let i be x(2). Let s = 246 - i. Calculate the remainder when s is divided by m. 5 Suppose -616*o - 11958 = -596*o - 51118. Calculate the remainder when o is divided by 140. 138 Suppose -4801 = -12*f - 4285. What is the remainder when 64 is divided by f? 21 Suppose 4811 = -23*r + 40*r. What is the remainder when r is divided by 74? 61 Let m = 2036 - 1. Calculate the remainder when m is divided by 70. 5 Let x be (-22)/(-6) - (-2)/6. Suppose -p + x = -76. What is the remainder when p is divided by (5 - 9/30*5)*8? 24 Suppose -5*d = -r + 383, -38*r - 3*d - 710 = -40*r. Calculate the remainder when r is divided by 50. 43 Let u = -512 - -518. What is the remainder when 59 is divided by (226 - -2)/u + (-1 - 2)? 24 Suppose -32*d - 4*d - 241128 = 0. Calculate the remainder when 3/4 - d/136 is divided by 4. 2 Let k = 602 + -580. Let q = 22 - 20. Suppose -q*i - 516 = -6*i. Calculate the remainder when i is divided by k. 19 Let s be ((-4)/(-16))/((-1)/(-2))*34. Suppose -3*d + s*d - 294 = 0. What is the remainder when d is divided by 6? 3 Let m = 2985 - -1. What is the remainder when m is divided by 61? 58 Let g = 521 - 363. Suppose -4*z = -5*q - 167, -5*z + 2*q = -z - g. Suppose -42 = 3*k - 5*k. Calculate the remainder when z is divided by k. 17 Let q(v) = -15*v - 38. Let c = 47 + -54. What is the remainder when q(c) is divided by 18? 13 Let u(r) = r**2 + 5 - 1 + 5 - 6*r. Let c be (-48)/(-60) + 52/10. What is the remainder when 26 is divided by u(c)? 8 Let l = 28029 - 28013. Calculate the remainder when 14477 is divided by l. 13 Let l(k) = k**3 - 5*k**2 - 4*k + 38. Let u be l(4). Suppose -46 = -p - 6. Suppose b - u*b = -p. Calculate the remainder when 21 is divided by b. 5 Suppose 0*q = -q + 629. What is the remainder when q is divided by (-61 - -26)*(-4)/2? 69 Suppose -51*q + 4559 = 46*q. Calculate the remainder when 150 is divided by q. 9 Let d(b) be the second derivative of 77/2*b**2 - 11*b + 1/12*b**4 + 0 + 0*b**3. What is the remainder when d(0) is divided by 20? 17 Let z(p) = -p**2 - 8*p. Let a be z(-7). Suppose -a*f + 828 = 5*f. Calculate the remainder when f is divided by 36. 33 Let v = -32 + 53. Suppose -17*d + v - 4 = 0. What is the remainder when (-4)/2 + 7 + -2 is divided by d? 0 What is the remainder when 1363 is divided by ((-3 + 0)/12)/((-25)/3500)? 33 Let k(z) = 43*z - 16516. Let r(i) = i**3 - 7*i**2 + 8*i - 2. What is the remainder when k(388) is divided by r(6)? 8 Let j = 13879 - 13839. Calculate the remainder when j is divided by ((-18)/8)/((-21)/224). 16 Let g(i) = 2*i**2 + 19*i + 41. Suppose 6*o - 385 = 215. What is the remainder when o is divided by g(-10)? 49 Suppose 181 + 553 = 34*z + 156. What is the remainder when 1969 is divided by z? 14 Let p = -226 - -464. Let n(c) = 2*c**2 + 5*c + 20. Calculate the remainder when p is divided by n(-6). 52 Let n = -146 + 66. Let g = n - -103. What is the remainder when 43 is divided by g? 20 Let w be ((36/10)/(-3))/((-57)/190). Suppose -15 = 3*g, w*b + 2*g - 65 = -19. Calculate the remainder when 907 is divided by b. 11 Let i = -4335 + 6700. What is the remainder when i is divided by 27? 16 Let g(p) = 3*p**2 + 12*p + 4. Let i be g(-8). Let t = 102 - i. Suppose t*d - 721 = -205. What is the remainder when d is divided by 29? 26 Suppose -3770 = 9764*d - 9774*d. What is the remainder when d is divided by 146? 85 Suppose -14 = -x + 3*o, 3*o + 0*o = 3*x - 48. Calculate the remainder when 579 is divided by x. 1 Let o(q) = q**3 - 27*q**2 - q + 29. Let b be o(27). Let h(d) = -8 + 550*d**2 + d**3 - 550*d**b - 7*d. Calculate the remainder when 54 is divided by h(4). 26 Let m be (-2)/(-7) - 8109/(-63). Let a = -97 + m. Suppose 80 = 4*t + a. What is the remainder when t
{ "pile_set_name": "DM Mathematics" }
) - 3). Let q = t - 3863. Calculate the common denominator of q and -34/11. 77 Let p = -6116/5 + 1217. Let o = -45671/2342 + 1/1171. What is the common denominator of p and o? 10 Let m = 6 + 7. Suppose -m*b = -15*b + 28. Calculate the lowest common multiple of 4 and b. 28 Let a(x) = x**3 - 6*x**2 - 3*x - 8. Calculate the smallest common multiple of 2 and a(7). 20 Suppose 2*p + 4*s = -8, -4*s - 6 + 2 = 4*p. What is the lowest common multiple of 3 and p? 6 Let g = 5830 + -46737/8. What is the common denominator of 198/27 + 2/3 and g? 8 Let n be 2661/1338 - (-2)/(-1). Let a = n - 6001/1784. Calculate the common denominator of 123/18 - (-2)/6 and a. 24 What is the common denominator of (-1)/(-3) + (-207)/(-54) and 83/14? 42 Let q(i) = -i**3 - 5*i**2 - 3*i - 5. Let y be q(-5). What is the common denominator of 7/22 and (-92)/y + (-3)/6? 110 Let x = -40933/2946 + 30/491. What is the common denominator of x and 292/48*(-3)/(-2)? 24 Suppose -48 = -6*o - 0*o. Calculate the smallest common multiple of o and (2 - (-7)/(-4))*4. 8 Let c(b) = 17*b**3 - 2*b**2 - 2*b + 2. Let y be c(-2). Calculate the common denominator of 0 + -3 + y/(-21) and -8/7. 7 Let v(r) = -4*r - 1. Let q be v(8). Calculate the common denominator of (-15)/(-10) + 3/(-3) and (-1)/2 + 150/q. 22 Suppose -2*w + 6*w = 28. Suppose -4*y - 6 = -w*y. Suppose q + y = 0, 4*z - 5*q = 29 + 13. Calculate the smallest common multiple of z and 8. 8 Suppose 18 = 14*z - 13*z. What is the lowest common multiple of z and 14? 126 Suppose -3*d + j + 5 = -27, -2*d - 4*j = -40. What is the least common multiple of d and 6? 12 Suppose 2*g - 4*s - 6 = 22, g + 5*s = 7. What is the least common multiple of 12 and g? 12 Let f(w) = -6*w - 4. What is the smallest common multiple of f(-2) and 2? 8 Find the common denominator of 79/20 and -1*(295/10 + 4). 20 Suppose 0 = -0*g + g - 2*v - 32, v + 128 = 4*g. Calculate the least common multiple of g and 10. 160 Suppose -4*g - 3*y + 35666 = 0, 2*g - 2*y + 10687 - 28527 = 0. Let u = 124961/14 - g. What is the common denominator of -85/4 and u? 28 Suppose 3*a - 66 = 3*u, -2*u = 6 + 4. Suppose 0 = 3*q - 3*r - 66, -2*q + 7 = 3*r - a. Calculate the smallest common multiple of q and 12. 36 Let k be 144/146 - (7 + -6). Let i = 4239/365 + k. Calculate the common denominator of i and 2/3 - (-111)/90. 10 Let p(h) = -9*h. Let t be p(2). Let i = -4 - t. Let v = 150/11 - i. Find the common denominator of -93/4 and v. 44 Find the common denominator of ((-515)/25)/((-18)/15) and 17/32. 96 Let u(a) = -a**2 - 9*a + 2. Let v be u(-9). Suppose -v*x = -x - 7. What is the least common multiple of 8 and x? 56 Let x = 9733 + -116689/12. Calculate the common denominator of 29/6 and x. 12 Suppose f = 5*h - 10 - 0, 0 = 3*f. Suppose v + h*v - 2*i = 5, -5 = 5*i. Let o = 9 + -4. Calculate the lowest common multiple of o and v. 5 Suppose -3*t + 2*j + 0*j + 20 = 0, 2*t + j - 4 = 0. Let l = t + -2. Calculate the least common multiple of 14*(l - 1) + -2 and 20. 60 Suppose -2*g + 22 = -2*u, -2*u + 6*u + 4*g = -12. Let h(b) = -b**3 - 7*b**2 - 2*b - 8. What is the least common multiple of h(u) and 10? 30 Let m = 128 - 126. What is the least common multiple of 10 and m? 10 Let g = -612/11 + 59. Find the common denominator of 75/8 and g. 88 Let p(t) = t + 8. Let m = 40 + -20. Suppose m = -0*w + 5*w. Calculate the least common multiple of w and p(6). 28 Let v(l) = l**3 + 4*l**2 + 3*l + 2. Let q be v(-3). Suppose -g - 4*g + 3*x = 638, -q*x - 252 = 2*g. Calculate the common denominator of 85/8 and (g/5)/(18/15). 24 Let k = 84/257 - -26837/3598. Calculate the common denominator of k and 86/12 - 6/27. 126 Let d(v) = 10*v**2. What is the lowest common multiple of d(-1) and 4? 20 Let x = -1803 - -25229/14. Let c = 66401/4660 - -1/1165. What is the common denominator of x and c? 28 Let d = 134 - 1180/9. Let k = 7193/4 + -1816. What is the common denominator of k and d? 36 Let s(k) = 4. Let o(b) = -b. Let w(p) = -2*o(p) + s(p). What is the least common multiple of w(3) and 9? 90 Let b = -1386559/114590 + 2/11459. Calculate the common denominator of b and 65/9. 90 Suppose 62 = 3*v + 5*y, y = 6*v - v - 94. What is the least common multiple of 7 and v? 133 Calculate the smallest common multiple of (-1 - 0) + 16/(2 - -2) and 9. 9 Let n(i) = -4*i - 54. What is the lowest common multiple of n(-15) and 2? 6 Suppose -4*z = -z. Suppose z = -2*v + 18 + 26. Calculate the least common multiple of -21*1*2/(-3) and v. 154 What is the common denominator of 131/18 and (-450)/108*(27/(-24) - -1)? 144 Let s = -5285 + 63283/12. Find the common denominator of (-12)/6 - (-62)/8 and s. 12 Find the common denominator of -7/11 and (-122)/20 - 15/30. 55 What is the least common multiple of 4422/88 - 2/8 and 10? 50 Let t(o) = o**2 - 4*o + 3. Let b be t(3). Calculate the common denominator of -71/22 and 146/36 - (0 - b). 198 Let l = -70 - -51. Calculate the common denominator of l and -10/9. 9 Suppose 6*n + 5*a = n + 110, 5*a - 5 = 0. What is the lowest common multiple of 48 and n? 336 Let a = 194085/7922 + 2/3961. Find the common denominator of 74/33 and a. 66 Suppose -7 = -d - 2. Let w(x) = -x**2 + 3*x + 2. Let l be w(d). Let j = l - -18. Calculate the least common multiple of 7 and j. 70 Let w(f) = -f**2 - 12*f + 4. Let m be w(-13). Let r be 10/4 - m/(-18). Suppose -r*b + 10 + 22 = 0. What is the smallest common multiple of 14 and b? 112 Let o = 32 - 28. Suppose 5*z = 2*z + 42. Calculate the lowest common multiple of z and o. 28 Let z be 16/6*(-48)/(-22). Let r = z + -1020/77. Find the common denominator of ((-4)/(-18))/(3/(-39)) and r. 63 Suppose 3*v + 4*d - 68 = 0, v = 3*v + 2*d - 42. Suppose 0 = 19*b - 59 - 359. What is the least common multiple of v and b? 176 What is the least common multiple of 12 and (-240)/(-11) - (-4)/22? 132 Let q = -180871/22 + 8225. Find the common denominator of -47/28 and q. 308 Find the common denominator of (-26)/(-10)*(-21)/(-14) and 79/30. 30 Let b(a) = 4*a - 11 + 0 - 3*a. Let o be b(9). Let s = -5/2 - o. Calculate the common denominator of 47/4 and s. 4 Suppose -3*a = -8*a + 20. Calculate the smallest common multiple of a and 2. 4 Suppose 2*i = 3*i - 4. Suppose 5*g = 3*g + 14. What is the lowest common multiple of i and g? 28 Find the common denominator of 31/14 and (-157)/(-18) - 4 - -1. 126 Let j = 176237405/12 + -14672319. Let w = j + -14121. Let m = -68405/12 - -5696. Find the common denominator of m and w. 12 Suppose 4*p + p - 360 = 0. Suppose 0 = 5*u - 28 - p. Calculate the smallest common multiple of 15/2 - 2/(-4) and u. 40 Suppose n - 105 = -4*n - 5*v, 3*v - 99 = -5*n. Calculate the lowest common multiple of 16/(-12)*(-2 + -1) and n. 36 Let t = -11475/4 + 2855. Calculate the common denominator of t and (-2)/2 + 41/3. 12 Let p = -1 - -9. Suppose 3*l - 34 - p = 0. Calculate the least common multiple of l and 4/10*(8 + -3). 14 Let z(q) be the second derivative of q**4/6 - 5*q**3/6 + q**2 - 6*q. Calculate the smallest common multiple of 1 and z(3). 5 Let i(c) = c + 6. Let t = 17 + -12. Suppose 0 = -t*z - 2*v + 48, 0*z - z = -2*v. Calculate the smallest common multiple of z and i(6). 24 Let n(h) = h**2 - 9*h - 2. Let s be n(9). Find the common denominator of (-642)/48 - (s - -1) and -20/7. 56 Let b = -8 + 19. Let m be -7 + 2 + 1 + -1. Let h = b + m. Calculate the lowest common multiple of 8 and h. 24 What is the common denominator of 8/30*(-462)/(-28) and -111/56? 280 Suppose -6*t - 30 = -5*k - 11*t, 4*k = -2*t + 28. Let p = 34/3 - -187/6. What is the common denominator of (-2)/k + (-129)/(-24) and p? 8 Calculate the common denominator of -17/18 and ((-275)/(-4))/(-5) + 1. 36 Let s = 9 - 18. Let g be -1*66/s*-3. What is the common denominator of 42/(1 - g/(-4)) and -65/8? 24 Let y(r) be the third derivative of r**4/8 - r**3/6 + 2*r**2. Let f(h) = h**2 - 5*h + 5. Let a be f(4). What is the lowest common multiple of 20 and y(a)? 20 Let x = 865/8 - 109. Let q = 7931/6 - 1304. Calculate the common denominator of x and q. 24 Suppose 0 = 4*p - 5*p - 158. What is the common denominator of 73/22 and p/(-9)*(-5)/(-20)? 198 Suppose -5*k = 2*z + 5, 5*z + 2*k = 7*k + 40. Let x(g) = -g**2 - 9*g - 9. Calculate the least common multiple of x(-7) and z. 5 What is the least common multiple of 22 and 5/(15/6) - -10? 1
{ "pile_set_name": "DM Mathematics" }
enominator of -29/62517 and 3/91. 62517 Calculate the least common multiple of 5 and 33180. 33180 Calculate the lowest common multiple of 15400 and 630. 138600 What is the common denominator of -44/7 and -33/16996? 16996 Calculate the common denominator of 99/34588 and 51/32. 276704 What is the common denominator of -41/54 and -131/170508? 1534572 Find the common denominator of -107/18 and 73/206814. 620442 What is the common denominator of -34/1795 and 14/126009? 630045 What is the lowest common multiple of 320 and 6672? 133440 Calculate the smallest common multiple of 263 and 994140. 994140 Calculate the least common multiple of 856 and 614608. 614608 Calculate the smallest common multiple of 126 and 75698. 681282 Calculate the smallest common multiple of 1284 and 2412. 258084 What is the common denominator of 43/3594 and 79/49118? 147354 Calculate the smallest common multiple of 11 and 36716. 403876 What is the smallest common multiple of 1056166 and 172? 2112332 What is the common denominator of -23/45760 and 59/3520? 45760 Calculate the common denominator of 101/89674 and 1/156. 538044 What is the lowest common multiple of 116 and 264160? 7660640 Find the common denominator of 149/2430 and 23/10746. 483570 What is the lowest common multiple of 250 and 53550? 267750 What is the smallest common multiple of 4902 and 2322? 44118 Find the common denominator of -27/172910 and -11/46. 3976930 What is the common denominator of 151/9228 and -19/18456? 18456 What is the common denominator of 13/84284 and -35/152? 168568 What is the smallest common multiple of 414 and 28152? 28152 Find the common denominator of 13/384 and -44/2553. 326784 What is the common denominator of 91/12 and 33/32990? 197940 What is the lowest common multiple of 16435 and 95323? 476615 What is the common denominator of 89/3360 and -67/410480? 2462880 Calculate the common denominator of 61/21 and -51/518. 1554 Calculate the lowest common multiple of 8812 and 4. 8812 What is the common denominator of -28/2075 and -93/370? 153550 Calculate the least common multiple of 145 and 377. 1885 Calculate the lowest common multiple of 20736 and 99072. 891648 Calculate the common denominator of -91/216 and 7/684927. 16438248 What is the lowest common multiple of 595 and 815? 96985 Calculate the least common multiple of 62154 and 10359. 62154 Find the common denominator of 65/10791 and -89/693. 75537 Find the common denominator of 70/1373691 and 9/88. 10989528 Calculate the common denominator of -12/5945 and 43/123. 17835 Calculate the lowest common multiple of 12 and 1301514. 2603028 What is the common denominator of 13/16720 and -3/20? 16720 Find the common denominator of 149/226920 and 59/10. 226920 What is the common denominator of 81/51794 and -11/940? 517940 What is the smallest common multiple of 154768 and 9673? 154768 Calculate the common denominator of 43/315756 and -55/90216. 631512 Calculate the least common multiple of 27354 and 3384. 328248 What is the least common multiple of 160 and 112? 1120 Find the common denominator of -51/30130 and 35/533301. 5333010 Find the common denominator of -43/2160 and 91/360. 2160 What is the least common multiple of 540 and 15030? 90180 Calculate the least common multiple of 237 and 934. 221358 Calculate the common denominator of -43/49874 and 105/44. 99748 Find the common denominator of -62/132201 and -76/387. 5684643 What is the common denominator of -131/445374 and 163/20430? 2226870 Calculate the common denominator of -17/190 and 42/65227. 652270 Calculate the common denominator of -43/9243 and 73/156. 36972 What is the common denominator of -67/640 and 127/2080? 8320 Find the common denominator of 5/89707 and 151/538242. 538242 Calculate the common denominator of -55/12264 and 65/72. 36792 What is the common denominator of -79/18 and 145/53166? 159498 Calculate the common denominator of 15/2774 and 77/152. 11096 Calculate the smallest common multiple of 46 and 12949. 25898 Calculate the common denominator of 19/84 and 16/5621. 67452 Calculate the smallest common multiple of 139848 and 24. 139848 What is the common denominator of -161/5280 and 103/240? 5280 What is the common denominator of 97/17325 and 131/11340? 623700 What is the smallest common multiple of 1426 and 276? 8556 What is the common denominator of -113/18 and -37/8937? 17874 Calculate the smallest common multiple of 18056 and 1342. 198616 What is the common denominator of -25/7488 and -59/167544? 1340352 What is the smallest common multiple of 4088 and 57816? 404712 What is the smallest common multiple of 3052 and 488320? 488320 Find the common denominator of 37/822 and 139/72. 9864 What is the smallest common multiple of 178 and 26166? 26166 Calculate the lowest common multiple of 6074 and 6074. 6074 Find the common denominator of -23/91560 and 31/1260. 274680 What is the least common multiple of 23862 and 1107? 214758 What is the smallest common multiple of 882840 and 37836? 2648520 What is the common denominator of 85/5488 and -43/8? 5488 What is the least common multiple of 17304 and 10815? 86520 What is the lowest common multiple of 2054064 and 427930? 10270320 What is the smallest common multiple of 34706 and 4? 69412 Find the common denominator of 33/100 and 89/196. 4900 Calculate the least common multiple of 10 and 1793239. 17932390 What is the least common multiple of 1479 and 4437? 4437 Find the common denominator of 25/88 and -73/1611830. 6447320 Calculate the common denominator of -23/21 and -145/104916. 104916 What is the common denominator of 133/176712 and 163/4884? 1943832 Calculate the common denominator of 17/378 and -169/5292. 5292 What is the least common multiple of 12 and 1748? 5244 Calculate the smallest common multiple of 3 and 15000. 15000 What is the least common multiple of 82004 and 68172? 5658276 Find the common denominator of -17/337374 and 137/18. 337374 Calculate the least common multiple of 1167 and 4668. 4668 Calculate the smallest common multiple of 30076 and 876. 90228 Calculate the common denominator of -65/412 and 37/5665. 22660 Calculate the common denominator of -117/156790 and -67/156790. 156790 What is the common denominator of 37/8457 and -85/627? 1767513 Calculate the smallest common multiple of 324085 and 30. 1944510 Calculate the lowest common multiple of 8 and 14750. 59000 What is the lowest common multiple of 63360 and 139392? 696960 Find the common denominator of -13/406 and -11/3045. 6090 Calculate the common denominator of 29/214320 and -79/240. 214320 Find the common denominator of -1/476 and -103/94. 22372 Calculate the smallest common multiple of 270540 and 20040. 541080 Calculate the least common multiple of 6783 and 133. 6783 Calculate the common denominator of 79/27072 and -1/198528. 595584 Find the common denominator of -103/21140 and 79/24160. 169120 Find the common denominator of -26/3495 and 115/31728. 36963120 Calculate the lowest common multiple of 470 and 4700. 4700 Find the common denominator of 145/645264 and 115/215088. 645264 Calculate the lowest common multiple of 2508 and 1416. 295944 Calculate the common denominator of 139/14010 and 11/43431. 434310 What is the common denominator of -44/14451 and 1/3? 14451 Calculate the common denominator of -13/30 and 57/22348. 335220 What is the common denominator of 57/3878 and 71/376166? 376166 What is the common denominator of 77/3200 and -77/992? 99200 What is the common denominator of -45/1348324 and -17/12? 4044972 Calculate the common denominator of -71/469425 and 17/42675. 469425 What is the common denominator of -29/6402 and 29/440? 128040 Calculate the common denominator of -3/51520 and 101/52640. 2421440 Calculate the smallest common multiple of 1340 and 6120. 410040 Calculate the least common multiple of 282 and 2444. 7332 What is the common denominator of 139/28458 and -65/16? 227664 Calculate the common denominator of -169/119520 and 29/53120. 478080 Calculate the least common multiple of 20 and 69538. 695380 Find the common denominator of 10/9047 and -55/54282. 54282 Calculate the common denominator of -79/68330 and -43/122994. 614970 What is the smallest common multiple of 4080 and 4788? 1627920 What is the common denominator of 29/2070 and 31/90?
{ "pile_set_name": "DM Mathematics" }
creasing order. d, 2/5, s Let c be ((-3)/15 - 1)*-5. Let j = -7 + c. Put -3, j, -4 in ascending order. -4, -3, j Let w = 10 + -5. Suppose -4*x + x + 2*t = 169, 3*t - 224 = 4*x. Let g = x - -237/4. Sort w, -3, g. -3, g, w Let g be 96/(-90) + 4/10. Put g, -0.4, -3 in ascending order. -3, g, -0.4 Suppose 2*n = 2 + 10. Suppose 0 = -s - n + 1. Sort -1, 1, s in increasing order. s, -1, 1 Let n = -5 - -5.4. Let a = -8 - -11. Sort 2/11, a, n in descending order. a, n, 2/11 Let v = 0 + -4. Put -0.1, 0.06, v in increasing order. v, -0.1, 0.06 Let n = -0.6 - -0.6. Let t = -3 + -2. Let r = n - t. Sort 0, -4, r in decreasing order. r, 0, -4 Let l = -10 - -14. Put 1, -2, l in ascending order. -2, 1, l Let q = 0.04 - 4.04. Let a = q - -9. Let h = 98/3 - 499/15. Put a, -0.1, h in increasing order. h, -0.1, a Let r = 26 + -4. Let y = r + -25. Put -2/7, y, 4 in ascending order. y, -2/7, 4 Suppose -4*m + 5*m + f = 5, 0 = -m + 3*f - 15. Let w = -13 + 19. Suppose -2 = 2*i, 4*i = -2*v + 4*v + w. Sort 4, v, m in decreasing order. 4, m, v Suppose -3*y + 2*y + 3 = m, 2*m + 3*y = 1. Let h = -5 + m. Suppose -16 = 2*f - 2*u, -3*f - f + u - 20 = 0. Put -2, f, h in descending order. h, -2, f Let t = 17 + -14. Put t, 5, 1 in ascending order. 1, t, 5 Let t be (0 + -1)*58/(-54) + -1. Sort 1, t, -1/8 in descending order. 1, t, -1/8 Let h = -1.9 - -2. Let z = h - 0. Let j = z - -3.9. Put 0.1, 0, j in descending order. j, 0.1, 0 Let l = 1.7 + 0.3. Let o = 2 - l. Let g = 0.72 - 0.74. Sort -3, g, o in increasing order. -3, g, o Let g = 6.11 + -0.11. Let f = -0.05 + -0.95. Sort g, -2, f in descending order. g, f, -2 Let z = -24.42 - -24. Let w = z + 0.02. Suppose 131*r + 3 = 130*r. Put 5, w, r in ascending order. r, w, 5 Let r be (-4)/24*(-3)/(-4). Sort 4, 0.5, r. r, 0.5, 4 Let t be 2/(4 - (1 + 2)). Let i = t - -1. Sort -4, 4, i. -4, i, 4 Let f = -26 - -26. Let r be 5/(-60) + 1/3. Sort f, -5, r. -5, f, r Let t(f) = f**3 + 9*f**2 + 2. Let x be t(-9). Let m be ((-10)/2)/(3 - x). Suppose 3*i - i = 2*y - 4, 2*i = -5*y - 4. Sort 0, m, i in descending order. 0, i, m Let a = 1.4 + -1.8. Put -5, 9, a in descending order. 9, a, -5 Let i be 6/10 + 365/(-25). Sort 5, 2, i in increasing order. i, 2, 5 Let x = -46 - -49. Let d = -0.04 + 4.04. Sort d, 2, x in ascending order. 2, x, d Let z be ((-6)/(-4))/(3/6). Let l(u) = u - 5. Let o be l(6). Let y(f) = f - 11. Let k be y(6). Sort k, z, o in decreasing order. z, o, k Let k be 2 + 4 + -20*1. Put 0, k, -1 in descending order. 0, -1, k Suppose 3*f + 2*g + 124 = 0, 3*g + 0*g + 207 = -5*f. Let t = f + 253/6. Sort 1, t, -3 in descending order. 1, t, -3 Suppose 3*j + 2*z - 9 = z, -4*z + 12 = 4*j. Put 0.1, 0, 1/4, j in descending order. j, 1/4, 0.1, 0 Let a(z) = 3*z - 63. Let f be a(20). Sort 0, f, -2 in descending order. 0, -2, f Let l = 118593/16 - 122739787/16560. Let g = l + -2/115. Put 2/23, -1/5, g in descending order. g, 2/23, -1/5 Let j be 2/(1 - 7/5). Suppose 0 = 3*q + u + 6, 3*u = -1 - 8. Put 1, j, q in ascending order. j, q, 1 Let r = 9 - 7. Sort r, 8, 0.3 in decreasing order. 8, r, 0.3 Let q be ((-2)/3)/(2/15). Let b be q + 8 - -1*1. Suppose 9 = 2*r + 3*r + 3*l, 0 = -5*r + 4*l - 12. Sort r, b, -4 in increasing order. -4, r, b Let z be 60/160 - (-19)/(-40). Let l be 2/4 - (-87)/2. Let d = l + -222/5. Put z, d, 2 in descending order. 2, z, d Let v = 328/5 + -66. Sort 2/11, -5, v in decreasing order. 2/11, v, -5 Suppose 8 = h + 2*i, -20 = -4*h + h - 5*i. Let o(q) be the first derivative of -q**3/3 - 3*q**2/2 + q - 2. Let j be o(-3). Put j, 4, h in ascending order. h, j, 4 Let s(g) = -g**2 + 7*g - 3. Let r be s(7). Put 1, 2, r in ascending order. r, 1, 2 Suppose 3*t = 6*t. Suppose 0 = -10*u + 11*u - 5. Sort t, u, -5 in ascending order. -5, t, u Let y(t) = t**3 + 11*t**2 - 11*t + 12. Suppose 0 = -2*h - 24. Let s be y(h). Sort s, -12, -3 in increasing order. -12, -3, s Suppose 0 = 3*u - 4*o + 20, -5 = u - 0*u - o. Let w(c) = c**3 + 4*c**2 + c - 5. Let y be w(-3). Sort u, 5, y. u, y, 5 Let w be 6*(-8)/16 + (-57)/(-21). Suppose -2*g - 21 = 5*l, -4*l - 10 = 7*g - 2*g. Sort -0.4, l, w in ascending order. l, -0.4, w Let n be (-576)/(-40) + (4/10)/(-1). Put -2, n, 4 in decreasing order. n, 4, -2 Let o be ((-12)/(-6))/(6/2). Put 1/3, o, -1 in descending order. o, 1/3, -1 Let n = -1.7 - -1.5. Put 2, n, -17, -3 in decreasing order. 2, n, -3, -17 Suppose 0*x - 3*o - 33 = 4*x, -12 = 4*o. Sort 2/11, x, -5 in increasing order. x, -5, 2/11 Let s = -9/13 - -41/78. Let n(h) = -h**3 - 4*h**2 + 3*h - 6. Let p be n(-5). Suppose -2*r = p*z - z + 8, -3*z = -3*r - 12. Put -2, r, s in increasing order. r, -2, s Let s = -11 - -6. Suppose 0 = 2*c - 2*g + 10, -11 = 2*c - c - 3*g. Sort c, 2/11, s in descending order. 2/11, c, s Let b = 9.8 + -10. Put b, 1/4, -5 in increasing order. -5, b, 1/4 Let w = 65 + -35. Suppose -2*o - 3*o = -5*n + 50, -w = o - 5*n. Let z = 51 - 49. Put z, o, 1 in increasing order. o, 1, z Let q = -25.8 + 26. Put -0.2, q, 1 in ascending order. -0.2, q, 1 Let b = 0.2 + 1.8. Let x = 0 - b. Let z = x - -4. Sort 5, z, 0.5 in descending order. 5, z, 0.5 Let q(j) = j + 7. Let c be q(-5). Suppose 0*n = n - c. Put n, -5, 1 in descending order. n, 1, -5 Let j be (-7)/14*(0 - -6). Let l(n) = n**3 + 5*n**2 - 7*n - 7. Let g be l(-6). Sort -2, j, g. j, -2, g Suppose -4*q + 3*m = 14 - 5, 3*m = -q - 6. Sort 0, 6, q in ascending order. q, 0, 6 Let i = 5.05 + -0.05. Let v be 3/(30/31) + (-8)/80. Sort v, i, -0.04. -0.04, v, i Let p = -827/88 + 102/11. Put -3/2, -4, p, -0.4 in descending order. p, -0.4, -3/2, -4 Suppose u + 3*u - 4 = 0. Let t(c) = c - 14. Let m be t(10). Let z be -3 - -2*(-2)/m. Put z, u, -1 in decreasing order. u, -1, z Suppose -4*j + l = 1001, j + 114 = -3*l - 133. Let v = j + 10252/41. Sort v, -3/8, 3/2 in ascending order. -3/8, v, 3/2 Suppose -1 = 2*z - 7. Suppose 0*m + z*m = 9. Suppose -4*k + 5 = 3*j, -5*k - 20 = -4*k + 5*j. Put k, m, -2 in descending order. k, m, -2 Let h(u) = -u + 9. Let m be h(5). Let f = 6 - 4. Sort m, 1, f in decreasing order. m, f, 1 Let h(b) be the first derivative of b**3/3 - 9*b**2/2 - 8*b - 6. Let q be h(10). Sort -3, q, -5 in increasing order. -5, -3, q Suppose 3*q - 4*i = 1 + 8, 5*q = -2*i + 15. Suppose 15 = 4*p - q*t, -3*p - 2*p = -3*t - 15. Put -1, p, -4 in descending order. p, -1, -4 Let q = 16 - 16.5. Let g be (2/6)/((-10)/12). Put 4/7, g, q in descending order. 4/7, g, q Let j = -4 + 1. Put 2/15, j, -1/2 in increasing order. j, -1/2, 2/15 Suppose -f = 4*o + 13, -3*o + 3*f - 3 = 18. Put o, 2, 4 in ascending order. o, 2, 4 Let j = 28 + -26. Suppose 5*r - 3*m - 6 = r, 5*r - m = 13. Sort r, j, 0 in descending order. r, j, 0 Let f = -1438/9 + 160. Sort 1, 2, f. f, 1, 2 Suppose 0*a = -6*a + 24. Put -18, -3, a in increasing order. -18, -3, a Let z = 28.4 + -28. Put z, -1/5, -5 in increasing order. -5, -1/5, z Let z be -2*9/(-27)*6. Let s be 1/2 - 5/2. Let y = -9 - -4. Sort y, z, s in increasing order. y, s, z Suppose 0 = -u - 1. Let s be u - (-1 - -2)*-2. Put 3, -2, s in decreasing order. 3, s, -2 Let z = 5.053 + -0.053. Let k be 1 - (-4)/(-66)*1839. Let s = k + 111. Put s, z, -0.1 in decreasing order. z, s, -0.1 Let t = -34.05 + 34. Put 5, 0.5, -5, t in decreasing order. 5, 0.5, t, -5 Let u be (-10)/120*(-3)/(-2). Sort u, -0.1, 1, -2/7 in decreasing order. 1, -0.1, u, -2/7 Let t(d) = d + 1. Let n be t(-6). Let m = n + 8. Let x = m + 1. Put 1, x, -5 in ascending order. -5, 1, x Let i = -4.31 + 0.31. Put 4/5, -14, i in descending order. 4/5, i, -14 Let o be -1*-1*(-1)/(-3)*7. Let p = 14 + -9. Put o, 0.1, p in decreasing order. p, o, 0.1 Let w be -2*((-10)/(-4))/(-5). Suppose 2*f = -f. Sort f, -4, w in increasing order. -4, f, w Let m(k) = -k**2 + 8*k + 8. Let h be m(9). Let y be h + -2 + (8 - 4). Sort y, 3, -4 in descending order. 3, y, -4 Let d = 1 - -10. Let c = d - 6. Sort 0.2, -3/5, c in ascending order. -3/5, 0.2, c Let m(v) = -v + 1. Let f be m(5). Let w be 2/((-1 - -3)*1). Put 3, w, f in increasing order. f, w, 3 Let m = 0.21 - 0.2. Let n = m + 0.25. Let q = 0.04 + n. Sort 0.5, q, -4. -4, q, 0.5 Let p = -15 + 17. Let h = -3.8 - -0.8. Put 4, h, p in descending order. 4, p, h Suppose -3*k + 15 = 2*k. Let o = 37 + -25. Suppose -3*c = k*f + 12, 0 = -4*f + c - o - 4. Sort -5, 4, f in increasing order. -5, f, 4 Let
{ "pile_set_name": "DM Mathematics" }
et s be q(0). Which is smaller: k or s? k Let t = 6.8 + -7.3. Let a be (2 + 6/2)/1. Suppose 5*s - 2*m = -3 - a, 0 = -4*m + 16. Is t greater than s? False Let h(w) = 7*w + 22. Let z(x) = -11*x - 33. Let o(y) = 8*h(y) + 5*z(y). Let l be o(-12). Let d be (-2 - -2) + 1/(-3). Is l > d? False Let n = 1 + 7. Suppose 2*j = n*z - 3*z + 1, z - j - 1 = 0. Which is bigger: z or 1/4? 1/4 Let o = -533076 + 302254226/567. Let g = -4/81 - o. Which is greater: g or 0? 0 Let a(y) = -y**3 - y**2 - y. Let p = -16 + 11. Let q = p - -5. Let m be a(q). Is -1/4 less than m? True Let i be (3*2/(-12))/10. Which is greater: -1 or i? i Let r be (-1 - 1)/(16/160). Which is greater: r or -21? r Let q = 97/4 + -501/20. Let g(s) = -s - 2. Let y be g(-1). Let t be ((1 - 0)/y)/1. Is q < t? False Let f = -83.6 - -84. Which is bigger: 16 or f? 16 Let b = -0.146 + 2.146. Let m = -5.1 + 6. Let n = m - -0.1. Which is bigger: n or b? b Let m(b) = -4*b**2 - 21*b - 5. Let w(k) = -k**2 - 5*k - 1. Let p(x) = 2*m(x) - 9*w(x). Let g be p(-4). Is g < -1? False Suppose 0*l - 4 = -5*o + l, -2*l = -2*o + 8. Suppose 0 = -h - o*h - 7. Suppose 2*c = c + 5*r - 13, 4*r - 4 = 0. Which is bigger: h or c? h Let r = -8 - -12. Let u = r - 5. Let c = 50/3 + -17. Which is bigger: c or u? c Let c = 0.3 - 7.3. Let i = 4 + c. Let r = i + 3.2. Which is bigger: 1/4 or r? 1/4 Let b be 4*((-6)/8 - 0). Which is greater: -5 or b? b Let j(m) = 15*m + 4. Let k be j(2). Does 33 = k? False Let g = -1.033 - -0.033. Which is greater: 9 or g? 9 Let w(h) = 3*h + 16. Let s be w(-4). Suppose -2*c + 6*c - 20 = 0. Suppose j - c*j + 2 = -2*u, j = -3*u + s. Which is smaller: -0.6 or j? -0.6 Let g = 329.94 + -334. Let p = 0.06 + g. Is -0.1 bigger than p? True Let a = -32 - -33. Are a and 1 equal? True Suppose 2*l = 6*z - 2*z + 8, -2*z = l - 16. Suppose 2 = -4*a - l. Let k be a - -5 - (-1)/1. Which is greater: 4 or k? 4 Let h = -9 + 31. Suppose 3*a + 4*k = -0*a + 20, 0 = -4*a - 3*k + h. Suppose -a*n - n - 35 = 5*c, 5 = -3*n + c. Which is greater: -2 or n? -2 Let k = 52 + -51. Is 3/137 <= k? True Let q be (-8)/6*(-36)/(-8). Let c be (-1)/3*(-4)/q. Is -1 < c? True Let s(z) = 5 - 18 + 0*z + 21 + 2*z. Let t be s(-3). Which is smaller: -2 or t? -2 Suppose 3*c + 0*g + 3*g = 0, -4*c - 3*g + 2 = 0. Let j(l) = l - 2. Let k be j(-4). Let b be (k/5)/(6/(-15)). Is b smaller than c? False Let p = 0.2 - 0.2. Let r = -0.2 - p. Let w = -0.6 + 0.8. Is w > r? True Let t(i) = -50*i**3 - 2*i**2 + i. Let g be t(1). Does -51 = g? True Let q = 5.21 - 1.21. Do -0.3 and q have the same value? False Let v(y) = -y + 6. Suppose 3*u = -u + 32. Let q = 13 - u. Let g be v(q). Do g and 0 have the same value? False Let f be (1/(-3))/(1276/33). Which is greater: f or -1? f Suppose -c - 12 = 3*c - 3*y, -2*y = -4*c - 8. Let j be (1 - c) + -5 + 3. Let q = 97 + -487/5. Which is smaller: q or j? j Let o = 6 - 6.17. Which is greater: o or 1? 1 Suppose 0*v - 4*v = -4. Let a be v*2/(-8)*1. Let y = 48 + -47. Is a smaller than y? True Suppose 0 - 1 = a. Let b(q) be the first derivative of q**2/2 - q - 1. Let w be b(a). Is -2 smaller than w? False Let q(o) = -o**2 - o. Let t be q(0). Suppose t = -v - 0*v. Is 0 less than v? False Let l be 4/(-12) - 64/6. Is -12 >= l? False Suppose 13 = -2*b + 4*x + 5, 4 = 2*x. Is b smaller than 2/67? True Let d(p) = -p**2 + p + 3. Let y(z) = z. Let a(v) = d(v) + 2*y(v). Suppose o = -5*h + 11, -2*o - 2*o - 4 = 4*h. Let r be a(h). Is r greater than 3? False Let v(f) = f**3 + 6*f**2 + 7. Let r be v(-6). Let h be (-2)/4 + r/6. Suppose -2*m = -0*m. Do h and m have different values? True Let y be (-16)/(-5)*(-4 + 9). Suppose 68 = -2*i + y. Let v be i/(-21) + 4/(-6). Which is bigger: 0 or v? v Let d = 8 + -3. Suppose 5*b + 2*c = -0*b + 5, 0 = 5*b + d*c - 20. Which is greater: b or 2/11? 2/11 Let u = 160 + -1122/7. Let r = 12.7 + -1.7. Let g = -14 + r. Do u and g have the same value? False Let i = -15 + 150. Let j = i + -1351/10. Let m = -3 + 4. Is j at least m? False Let b = 1 - -2. Let n(w) be the third derivative of -w**4/24 + w**3/6 + 2*w**2. Let i be n(b). Do -1 and i have the same value? False Suppose q = -4, 3*q + 22 = 2*t - q. Let k be (-62)/(-36) - 8/36. Which is smaller: k or t? k Suppose -1 = -0*t - t. Let y = -5 + 5. Let j = y + t. Is j less than 0.5? False Let w(c) = c**3 - 10*c**2 + 10*c - 9. Let j be w(9). Let q = 8 + j. Which is smaller: 9 or q? q Suppose 17 = 3*u + 2. Suppose -5*s - 80 = 2*o, u*o = 2*s + o + 56. Is s less than or equal to -18? True Let b = -1.32 - 0.18. Is -2 greater than or equal to b? False Suppose -12*k - 26 = -14. Which is smaller: 25 or k? k Let f = -7.936 - 0.064. Which is smaller: f or -0.08? f Suppose 0 = -5*a - 5*j - 110, a + 39 = -2*j + 12. Is -15 equal to a? False Let b be (-10)/30 + (-9976)/(-6006). Let z = 6/143 - b. Is 0 <= z? False Let p = -41 - -37. Which is greater: -9/2 or p? p Let y be (6/(-9))/((-6)/27). Let u(d) be the second derivative of -d**4/12 + d**3/2 - d**2/2 + 4*d. Let z be u(y). Which is bigger: -5 or z? z Let k = 20 + -13. Let l(a) = -a**3 + 6*a**2 + 7. Let f be l(6). Is f at least as big as k? True Let h = 4 + -11. Let y = h - -6. Is y >= -1? True Let o be 5/1 - 2 - (6 + -2). Which is smaller: -3/70 or o? o Suppose 2*z - 12 - 4 = 0. Let r = z + -14. Let s be (0 + -1)/(3/r). Are 2/3 and s nonequal? True Suppose 4*o - 9 = -5*j + 6*j, 0 = o - 3. Let g be 1/(j/(-1))*-9. Is 5 less than or equal to g? False Suppose -3*k - 2*s = 14, -5*k - 16 = -0*s - 4*s. Let w = 3 + k. Let y(g) = 3*g**2 + 2*g + 1. Let m be y(w). Which is bigger: m or 3? 3 Let h = 0.17 - -0.03. Let j = -56.2 + 51. Let d = j + h. Is d <= 0? True Let y(i) = i**2 + 7*i. Let z be y(-4). Let f be (-6)/(-4 - 11/(-2)). Let r be 6/(-5)*f/z. Is r not equal to 1? True Suppose -d = 1 - 3. Let j be 12/9 - 2/6. Which is smaller: j or d? j Suppose -6*d + 25 = -d. Suppose -2*b - 3*b - 20 = 0, 0 = d*g - 3*b - 282. Let k = -380/7 + g. Which is bigger: k or 1? 1 Let g = 28 + -27. Is 1/18 greater than or equal to g? False Let p = -5.04 + -1.96. Let l = 8 - 5. Let v = -3 + l. Which is greater: p or v? v Suppose 0 = 3*g + g + 3*b - 66, b = -4*g + 62. Suppose 0 = c - 6*c + g, h - 9 = -3*c. Let s = -205 - -1029/5. Which is smaller: s or h? h Suppose 6*c = c + 10. Let x(m) = -2*m - 5. Let g be x(-4). Let n be 5 - 1*(g - 0). Is n smaller than c? False Let w = -1 + 1. Let l = 208.7 + -208. Which is smaller: l or w? w Let h be ((-6)/(-8))/(2/8). Suppose -a = h - 1. Which is greater: -3 or a? a Let o be -4 + 4/(5 + -1). Let f be (-2)/o - 4/6. Is 4 < f? False Let k = -155/28 - -21/4. Suppose 3*h - 3*y - 16 = -2*h, -4*h + 10 = -y. Suppose h*b = 3*b. Which is smaller: k or b? k Suppose -x = -2, -4*r + 3*x = -3*r + 3. Let u be (r/(-2) + 1)*2. Suppose 5*g - 3*g + 4*s - 16 = 0, -25 = -5*s. Is u equal to g? False Suppose 4*p = 3*p + 1. Is p >= 2/5? True Let d = 10 - 10.1. Which is smaller: 29 or d? d Let s be (-192)/165 + (-12)/(-15). Which is bigger: 0 or s? 0 Let l be (-3)/(-12) + (-19564)/112. Let z = l + 175. Are 1 and z unequal? True Let m = -4 - -7. Let h = -4 + m. Let u be 2/(-2)*h/(-1). Is u > -1/5? False Let v be (54/15)/(6/20). Let a be v/55 - (-4)/22. Is a less than or equal to 1? True Let c = 2 + -2. Suppose 0 = -c*s + s + 8. Is s greater than -8? False Suppose 0 = -7*j + 8 + 34. Which is greater: -3 or j? j Let h(j) = j + 3. Let a be h(-2). Is 5/17 != a? True Let z = 10.3 - 11. Which is bigger: -0.1 or z? -0.1 Let c = -10.9 - -1.9. Let x = 6 - -3. Let w = x + c. Which is bigger: w or -0.1? w Let g be (-6)/(-8) + (-38)/8. Suppose -2*k + m + 10 = 5*m, 15 = -4*k - m. Which is smaller: g or k? k Suppose 14 = 4*m + 2*u, 0*u - 20 = 4*u. Suppose -m*x + x = 0. Suppose -5*i - 3*y - 5 - 4 = x, 6 = 2*i - 2*y. Are i and 4/7 unequal? True Let u = 79 + -78.9. Let b = 3 + -6. Are u and b nonequal? True Let u = 90 - 95.9. Let k = u + 6. Let h(x) = x**3 - 5*x**2 + 5*x - 6. Let l be h(4). Are k and l non-equal? True Let g be (-60)/(-15)*7/(-2). Is -15 at most as big as g? True Let f = -115 - -103.9. Let k = f - -11. Which is smaller: k or -0.8? -0.8 Suppose 7*n + o = 2*n + 3, -5*o = 10. Which is smaller: 1/10 or n? 1/10 Let d be ((-3 - -9)/((-6)/(-4)))/2. Is 4 greater than d? True Let r be (-4 + 8 - 4) + -2. Which is smaller: -3 or r? -3 Let x(u) = -u**3 -
{ "pile_set_name": "DM Mathematics" }
, s, u? s Let a = -0.22 + -12.78. Let i = -8 - a. What is the smallest value in 2/3, -4, i? -4 Suppose 18 = -3*w + 2*g, -2*w - 1 - 6 = -3*g. Let k = w + 5. Which is the second biggest value? (a) -4 (b) k (c) -2/17 b Let s = 0.6 + -0.8. What is the second smallest value in -1.3, 0.3, s? s Let p = 19 + -91. Let x be 2/p + 4/16. What is the second biggest value in 1/3, x, 2? 1/3 Suppose -z + 3 = 2. Let r(o) = 3*o + 1. Let x be r(z). Which is the second smallest value? (a) 1 (b) x (c) 3 c Let v = 56 - 56. Which is the third biggest value? (a) -2 (b) 2/11 (c) 2/9 (d) v d Suppose 2*w = 10, -5*w = 5*k - 0*k. What is the third smallest value in 0, k, 0.4? 0.4 Let o = -2.9 - -10.6. Let u = o + -8. Which is the biggest value? (a) u (b) -1/3 (c) 0.4 c Let k = -13 + 9.2. Let n = -0.054 - 0.146. Let v = n + k. Which is the biggest value? (a) -2 (b) -1 (c) v b Suppose j = 3*p - 0*p - 6, -5*j + 3*p = 18. Let l = -3/62 - -20/93. What is the third biggest value in l, -3/5, j? j Let y = -89/210 + 1/42. Let z = 3 - 2.8. What is the smallest value in z, 5, y? y Let y = 0.2 - 0.24. Let c = -0.16 + y. What is the smallest value in c, 0.3, 2/5? c Let u be (1 + (-37)/39)*(8 + -11). Which is the fourth biggest value? (a) -3 (b) -2/9 (c) u (d) -5 d Suppose -2*p + 5 = -3*p. Let k be ((-2)/3)/(3/9). Which is the smallest value? (a) k (b) -0.3 (c) p c Let x = 0.033 - -4.967. What is the second biggest value in 10, x, 3/5, -0.4? x Let k = -0.144 + -3.676. Let z = k - 0.18. Which is the third biggest value? (a) z (b) -1 (c) -2 a Let z be (-192)/108 + (2 + 1 - 1). What is the smallest value in -2/7, z, -0.3? -0.3 Let g = -0.5 - -0.8. Let s = 3.3 - g. Which is the smallest value? (a) -4/3 (b) s (c) 2 a Let f = -9 - -14. Which is the biggest value? (a) 0.5 (b) f (c) -2/3 b Let n(x) = -x**3 - x**2 + x. Let k be n(-2). Let p be 8/8*k/(-12). What is the second biggest value in p, 3, -0.2? p Let k = 0.03 - -0.07. Which is the second smallest value? (a) 2 (b) -0.1 (c) k c Let m(w) = -w**3 + 8*w**2 - 7*w - 1. Let v be m(7). Let q = -4/35 - 2/7. Which is the third smallest value? (a) -4 (b) q (c) v b Let h = -46.2 + 46. Which is the second smallest value? (a) h (b) -2/21 (c) 0.03 b Let m = 20 - 41. Let p be (-112)/m - 3/9. Which is the third smallest value? (a) 0.5 (b) p (c) -1 b Let y = -1.7 + 1.9. Which is the second biggest value? (a) y (b) -2 (c) 3 a Let z = 0.028 - 1.188. Let w = 0.16 + z. Suppose 0 = 3*l + 12 - 0, -4*q - 5*l - 36 = 0. Which is the third biggest value? (a) q (b) -0.1 (c) w a Let c = 20/37 + -3/74. Let x be 1*-3 - (0 + 1). What is the third biggest value in x, -2/9, c? x Let s be 1/2 - 45/(-10). Suppose -5*z = -s*a, -4*a - 5 = -6*z + z. Let p = 2 + -1.5. What is the third smallest value in a, p, -1? a Suppose 4*s - 9*s - 20 = 5*i, -4 = -i. Let u = 13 + s. Suppose u = 4*o - 7. Which is the third smallest value? (a) o (b) -4 (c) 5 c Let g = -9 - -14. Suppose -g*l + 1 = -4. Let v = -1.2 - -0.9. Which is the third biggest value? (a) 0.3 (b) l (c) v c Let i be (-2)/(69/(-15) - -5). Which is the third biggest value? (a) i (b) -8 (c) -0.4 b Let j = 2 + -2. Suppose -y - 4 = -j*y. Suppose 2*f = 3*l - f - 9, 0 = 5*l + 3*f - 7. Which is the smallest value? (a) l (b) 2/19 (c) y c Let o = -3.13 - -0.13. Let d = -7 - o. Let x = -5.4 - -0.4. Which is the smallest value? (a) -3 (b) d (c) x c Let q = 0.05 - 0.45. Let u = -0.72 + 0.02. Let l = q - u. Which is the third smallest value? (a) 2/13 (b) l (c) -3 b Let d be 12/(-130)*(-50)/(-105). Let x = d - -8/13. What is the biggest value in x, -4, -0.3? x Let r = -7 + 6.2. Let t = 0.7 + r. Let b(d) = d**2 + 2. Let p be b(0). What is the third smallest value in t, 4, p? 4 Let j(g) = g**2 + 3*g. Let h be j(-4). Suppose -15*c + 18*c - 6 = 0. What is the third biggest value in h, 1/4, c? 1/4 Let t = 0.7 + 0.1. Let o = t - 1.1. Let w = -2.7 + o. Which is the second biggest value? (a) -2/3 (b) w (c) 1/3 a Suppose 0 = h + 2 + 2. Let f = 0.3 - 0.4. Which is the third biggest value? (a) f (b) 4 (c) h c Suppose -3*m + 6 - 30 = -3*j, -2*j = -5*m - 25. Which is the biggest value? (a) j (b) -3/8 (c) 1 a Let m be (-2)/(-3) + (-39)/(-9). Let f be (-4)/(-10)*m/(-3). Let l = 10.2 - 10. Which is the biggest value? (a) l (b) -0.2 (c) f a Let w = 0 - -7. Let l(v) = -4*v + 2. Let p(f) = -3*f + 2. Let n(y) = 2*l(y) - 3*p(y). Let b be n(w). What is the biggest value in b, -2/7, 1? b Let n = 27 - 29. Let v = 36 + -109/3. Suppose -3*k + 2 = -4. What is the smallest value in v, n, k? n Let l = 32 - 31.7. Let p = -1/9 - -4/9. What is the second smallest value in p, 0, l? l Let k be (-8)/14*12/16. Let q = -0.57 - -0.12. Let p = q - -0.05. Which is the second biggest value? (a) p (b) k (c) -0.2 a Let n = 302/3 - 101. What is the second biggest value in -4/3, 12, n? n Let w = -278/5 + 2482/45. What is the fourth biggest value in -4, -2, 0, w? -4 Let b = -1.3 - -6.3. What is the fourth biggest value in b, 0.1, -6, -5/3? -6 Let j = 27 - 27. Which is the fourth smallest value? (a) 5 (b) -5 (c) 0.3 (d) j a Suppose -2*k = -4, -4*v + 7 + 11 = 5*k. Let x = 2/713 + -825/39928. Let u = x + -27/56. Which is the second smallest value? (a) v (b) u (c) 4 a Let u = -18 - -17. Let f = -9 - -2. Which is the second biggest value? (a) u (b) -3/5 (c) f a Let c be (-4)/(-4)*(-3)/(-3). What is the second smallest value in -1, 0.2, c? 0.2 Let n = 69.2 - 69. Let y = 2/175 + -39/350. Which is the second biggest value? (a) n (b) y (c) 5 a Let g = 2.5 - 3. Let t = 0.07 + -2.07. Let k = t + 2. Which is the smallest value? (a) k (b) g (c) 1 b Let p = -82/7 + 349/28. Let g = 4.7 + -1.7. What is the smallest value in g, p, -0.1? -0.1 Let m = 6 - 5. Let p = m - 1.5. Which is the second smallest value? (a) 4 (b) p (c) -1 b Let c = -3 + 0. Let i = 0.4 + -0.9. What is the second biggest value in 3, c, i? i Let a = 0.4 + -1.5. Let u = 0.7 + a. What is the second smallest value in u, 2/13, -3? u Let u = -3 - 0. Let w = 1.3 + -6.3. Let j = u - w. What is the second biggest value in 3, j, -3? j Let n be 12/9 + 1085/(-21). Let v be -2*(-102)/(-16)*4. Let c = v - n. What is the smallest value in -0.1, c, 5? c Let c = -25 - -26. What is the smallest value in c, 16, -1, 3? -1 Let s = 0.71 + -0.31. Which is the second smallest value? (a) -4 (b) s (c) 3 b Let d(f) = -f**2 - 7*f. Let n be d(-7). Which is the third smallest value? (a) n (b) 2/17 (c) -2 b Let q = -0.07 - 0.53. Let w = q - -0.7. Which is the third smallest value? (a) w (b) 0.4 (c) -1 b Let l = -8.3 - -7.8. Let x = -1.6 - -2. Which is the second biggest value? (a) x (b) l (c) -5 b Let k = -138/5 + 28. Which is the second biggest value? (a) -2/7 (b) k (c) 1/3 c Let m = 1406/7 + -201. Suppose 5 = l + w, -4*l - 2*w + 18 = -0*l. Let o be (1/l)/((-3)/8). Which is the third biggest value? (a) 0.5 (b) o (c) m b Let u be (5 - 0)/1 + -3. Suppose -5*y = -62 + u. Let x be (-4)/y*3/10. Which is the third biggest value? (a) -3 (b) -1/2 (c) x a Let m = 0.06 - 4.06. Which is the biggest value? (a) 3 (b) m (c) -4/3 a Let o = -0.3 - -0.2. Let x(q) = -q**2 - 6*q + 2. Let z be x(-7). Let k = 4 + z. What is the smallest value in k, o, 0.3? k Let y = -6 + 10. Suppose 3*j + y*u + 2 = -2, -2*j + u + 12 = 0. Let h = -4 + j. Which is the third biggest value? (a) 4 (b) -5 (c) h b Let w = -19 - -22.15. Let i = -0.25 - w. Let j = i - -0.4. What is the third biggest value in j, 2/5, 2? j Let g = 0.2 - 6.2. Let i = g + 8. Let t = -9/4 - -69/20. What is the second smallest value in 1, t, i? t Let m = 6.9 + -8. Let f = 3.1 + m. What is the third biggest value in f, -0.1, 4? -0.1 Let m = 13 + -8. What is the second biggest value in -0.5, m, 1? 1 Let p = -47/3 - -14. Which is the second smallest value? (a) -0.39 (b) p (c) 0.3 a Suppose -s = 1 + 11. Let f be (2/(-10))/(s/(-15)). What is the second smallest value in 2, f, -11? f Let y = -2.1 - -2. Let s = y + 3.1. Which is the biggest value? (a) -4 (b) s (c) -2/3 b Let h = 1 + -1.6. Let m = 2.6 + h. Let k = 0 - -0.1. What is the smallest value in m, 0, k? 0 Let u = -44 + 48. Which is the fourth smallest value? (a) u (b) -1 (c) -4 (d) -2/5 a Suppose 4*i = 20, -2*i + 67 = -4*l + i. Let z be
{ "pile_set_name": "DM Mathematics" }
e -28*u - 23 + 23 to the form h*u + q and give q. 0 Express (0*g + 3*g - 2*g)*((-1 + 0 + 0)*(-1 + 6 - 4) - 2 + 0 - 4 + (0 - 3 + 5)*(-1 + 3 - 1)) in the form d + f*g and give f. -5 Rearrange q**3 + 1815*q**4 - q**2 - 1805*q**4 + 0*q**2 to c*q**3 + a*q**2 + o*q**4 + z + l*q and give c. 1 Rearrange (0 + 0 - 2*i**3 + (3 + 0 - 2)*(-6*i**3 + 3*i**3 + 2*i**3) + 3*i**3 + i**3 - 3*i**3)*(-40 + 1 + 22) to m*i**3 + a + t*i + s*i**2 and give m. 34 Rearrange -2013*g - 2 - 7*g**2 + 2013*g to the form f*g**2 + z + u*g and give z. -2 Rearrange -29*o - 3 + 9 - 6 to the form v + t*o and give t. -29 Rearrange 7 - 6 + 1 + 0*w + 2*w to j + l*w and give j. 2 Express (-2 + 2 + 2*h**2)*(-133*h + 67*h - 3 + 60*h) as v*h**3 + r + t*h**2 + k*h and give v. -12 Express -39 - 36*d + 39 as j + p*d and give p. -36 Rearrange (12 - 12 + 8)*(-3*c + 3*c - c) to y*c + g and give y. -8 Express (3*j**3 + j**3 - 3*j**3)*(-1 + 1 - 2) - 3 + 3 + 6*j**3 + (0*j + 0*j + j**2)*(-j + 4*j + 0*j) as x + w*j + v*j**3 + u*j**2 and give v. 7 Express k**2 - 5*k**2 + 1 - 2*k**2 - 4 as y*k + g*k**2 + h and give h. -3 Express -2*p**3 + p**4 + p**4 + 3*p**2 - 2 - 7*p**2 + 2*p**2 as i*p**4 + y*p**2 + j*p + q*p**3 + f and give q. -2 Rearrange -29 - 20*k**2 + 29 to i*k**2 + c*k + b and give i. -20 Express 289*z**2 - 323*z**2 + 2*z - z as w*z + h*z**2 + y and give h. -34 Rearrange (-6*n + 0*n + 3*n)*(4 + 2 - 5)*(-5*n + 2*n + n + (-4 + 0 + 3)*(2*n - 3*n + 2*n) + 3*n + 2*n - 4*n - 5*n - 16 + 16) to d*n + o*n**2 + v and give o. 21 Rearrange (19 + 12 + 0)*(d - 4*d + 2*d) to the form i*d + c and give i. -31 Express 21*g - g**4 + 3*g**2 - 23*g - 9*g**2 in the form q*g**3 + b*g + w*g**2 + z + k*g**4 and give w. -6 Rearrange (0*d + 2*d + 0*d)*(-4 + 5 + 1) + (1 - 1 - 1)*(-1 + 7*d + 1) to the form q*d + r and give r. 0 Rearrange 9*k + 19*k + k**4 - 5*k - k**3 to j + s*k**4 + q*k**2 + d*k**3 + l*k and give d. -1 Express (-1 + 2 - 3)*(-3*c - 2*c + 3*c + 2*c**4) as d*c**4 + f + n*c**3 + b*c**2 + j*c and give d. -4 Express -u**4 - 1 + 10*u**3 + 0*u**4 - 25*u**3 + 14*u**3 + u**2 in the form y*u**3 + n + p*u + z*u**2 + m*u**4 and give y. -1 Express 6*v**3 + v - 5*v**4 + v**2 - 4*v**3 - 9*v**4 - 4*v in the form k*v + w + r*v**4 + l*v**3 + c*v**2 and give w. 0 Rearrange (n - n - 3*n)*(2 - 4 + 1) + 2*n - 7*n + 2*n + 2*n - 1 + 1 + 0*n + 0*n - 2*n + (-4 + 1 + 5)*(-4*n + n + 2*n) to b + s*n and give s. -2 Rearrange (14 + 20*k + 20*k - 15)*(-3*k**2 + 3*k**2 + 4*k**2) to x*k**2 + h + b*k**3 + t*k and give x. -4 Express 0*s**2 - 3*s**2 + 0*s**2 + (-s + 1 + 1 - 1)*(0*s + s + 0*s) as i + p*s + x*s**2 and give p. 1 Express -3 - 3*p**2 + p**2 + 4 + 2*p**3 as j*p**3 + u*p**2 + n + s*p and give j. 2 Rearrange -406 + 406 - 28*h to the form l*h + b and give l. -28 Express 10*c - 10*c - c**2 + c in the form r*c + i*c**2 + y and give r. 1 Rearrange -x**4 + 2*x**4 + 2*x**4 + (-x + x - 2*x**4)*(-2 + 2 - 2) to o*x + c*x**2 + m + v*x**3 + h*x**4 and give h. 7 Express (17*i - 33*i + 15*i + 5 - 5 + 2*i + (-2*i + 0*i + 0*i)*(-6 + 2 + 3))*(-2*i**2 - 4*i**2 + 4*i**2) in the form q*i**3 + v*i + w + m*i**2 and give q. -6 Rearrange (5*a**2 - 3*a**2 - 3*a**2)*((1 + 3 - 2)*(1 + 2 - 1) + 0 + 2 - 4) + 2443 - 2443 - 8*a**2 to the form c*a + n*a**2 + l and give n. -10 Express u**2 - 3*u**3 + 3*u**3 - 13*u + 9*u - 6*u**3 as j*u + q*u**2 + s + t*u**3 and give t. -6 Rearrange 26*s**2 - 4 + 7 - 3 to the form q + m*s + r*s**2 and give r. 26 Express -4 - 26*r + 4 as a*r + w and give a. -26 Express 1 + 8*t**3 + 12*t**3 + 3*t - 7*t**3 + 0 as z*t**2 + h*t**3 + u + f*t and give f. 3 Express 33*l**2 + 22*l**3 - 1 + 3*l**3 - 31*l**2 in the form q*l + r + d*l**3 + p*l**2 and give d. 25 Express 2*g**2 + 9*g**4 + 2*g**3 - 12*g**4 - 2*g**4 in the form k*g**3 + d*g**4 + t*g + h + a*g**2 and give a. 2 Express -3 + 45*a + 0 + 3 as x + b*a and give b. 45 Rearrange -23*d**2 + 11*d**2 - 5*d**2 to the form u + c*d + h*d**2 and give h. -17 Rearrange (z - z - z**2)*(5*z + 0*z - z)*(26 - 26 + 6*z) to b*z**4 + r + s*z + d*z**2 + t*z**3 and give b. -24 Rearrange -2*q - 5*q + 0*q + 3*q to y*q + h and give y. -4 Rearrange (-3 + 3 - 1)*(-6*w + 0*w - w)*(1 - 4 - 9) to the form h*w + b and give b. 0 Express (14*z + 7 - 13*z + 41)*(-1 + 7 - 4) in the form t + j*z and give j. 2 Express (-3*k**4 + 6*k**4 - k**4)*(2 - 3 + 3 + (0 + 2 - 4)*(2 - 4 + 0) - 2 + 3 + 1 - 2 + 4 + 0) in the form g*k**2 + q*k**3 + a + p*k + s*k**4 and give s. 20 Rearrange (0 + 0 + 4*l)*((2*l**2 - 2*l**2 - l**2)*(0 + 0 + 2) - 5*l**2 - 16*l + 16*l) to i*l + g*l**3 + j*l**2 + w and give g. -28 Rearrange (-1 + 1 - 7*s)*(s + 2*s + 8*s) to h*s**2 + i + d*s and give h. -77 Rearrange -9*a - 5*a**4 + 8*a - 1 - 3 + a**2 + 3 to the form b + r*a**4 + z*a + v*a**2 + q*a**3 and give v. 1 Express (10*y - 8*y - 2*y + 108*y**2)*(-2 + 2*y**2 + 2) as c + k*y**2 + n*y + o*y**4 + d*y**3 and give o. 216 Rearrange -34 + 20 + 15 + 26*i to the form c*i + d and give d. 1 Rearrange 0*q**4 + 1 + q**4 - 5*q - 2 + 6*q + 3*q**3 + q**2 to the form v*q + d + z*q**2 + r*q**4 + u*q**3 and give r. 1 Rearrange (2*y**2 + 4*y**2 - 4*y**2)*(-3 - 1 + 1) + y - 2*y**2 - y + y**2 + y**2 - 5*y**2 to the form n + s*y + d*y**2 and give d. -11 Rearrange (-2*o - 4*o + 2*o)*((0 + 2 - 4)*(4 - 2 - 1) + 3 - 1 + 0 + (-1 - 2 + 2)*(-1 + 3 - 4) - 1 + 1 - 2 - 1 - 1 + 1) to b + p*o and give p. 4 Express (-10 + g**2 + g + 10)*(7 - 1 - 3) as r + z*g + h*g**2 and give z. 3 Rearrange (-3 + 0 + 1)*(-5*b**3 + b**3 + 2*b**3)*(9*b + 1 - 1) to u + r*b**2 + f*b**4 + j*b + t*b**3 and give f. 36 Express (8*b**2 - 3*b - 2 + 3*b**2 - 12*b**2)*(7*b**2 + 6*b**2 - 6*b**2) as n + r*b**2 + l*b**3 + y*b**4 + u*b and give r. -14 Express 4 + 11*y - 7 + y**2 - 11*y as o + t*y + n*y**2 and give t. 0 Express (-13 - 4*y**2 + 7 + 3*y**2)*(y - 3*y - y) in the form d + f*y**3 + x*y**2 + z*y and give z. 18 Rearrange 2*d**2 + d**4 - 2*d**2 - 63*d**3 + 58*d**3 - 2 to the form a*d**2 + h + y*d + l*d**3 + u*d**4 and give l. -5 Rearrange (-3474*j + 3474*j + 78*j**3 + (-4*j + j + 5*j)*(4*j**2 - j**2 - j**2))*(-1 + j + 1) to l*j**3 + y + a*j**4 + p*j + w*j**2 and give a. 82 Express (3*o - o + o)*(-2 + 62*o + 4*o**3 + 9*o**2 - 62*o) in the form j + h*o + k*o**2 + c*o**3 + z*o**4 and give k. 0 Express -2*u + 0 + 0 + (0*u + 3*u + u)*(-4 + 4 - 1)*(4 + 3 - 3) as a + v*u and give v. -18 Rearrange -3*h - h**4 + h - 3*h**3 + 6*h - 2*h**2 - 5*h to g + j*h + n*h**3 + i*h**2 + a*h**4 and give i. -2 Rearrange (3 + 1 + 8)*(-2 + 2 - 2)*(-3*n + n - 2*n) to the form h*n + x and give x. 0 Rearrange (2 - 2*n**2 - 2)*(-n**2 + 2*n**2 + 4*n**2) + (1 - 2*n**2 - 1)*(-n**2 + n**2 - 2*n**2) to the form f*n + b*n**3 + k + s*n**2 + p*n**4 and give p. -6 Rearrange 2 - i + 5*i**3 - i**3 - 6*i**2 + 3*i - 5*i**3 to k*i**2 + j*i + l*i**3 + n and give j. 2 Express 4*f**4 + 3*f**3 - 2*f**3 - 12*f**4 + 2*f - f**2 + 0*f**3 in the form g*f**4 + k*f + d + h*f**2 + v*f**3 and give v. 1 Rearrange (3 + 2 + 0)*(-3*c**2 + 4*c**2 + c**2 + (c**2 + 0 + 0)*(0 + 2 + 0) - 3 + 2*c**2 + 3 - c**2 + c**2 - c**2) to l*c + w + v*c**2 and give v. 25 Express 3*s**2 + 36*s - 2*s**2 + 3 - 2*s**2 - 34*s - 5*s**3 as u*s**3 + t + f*s**2 + y*s and give f. -1 Express -10*a + 2 - 2 + (0*a - a + 3*a)*(0 - 3 + 1) - 2*a + 6*a - 3*a in the form b + h*a and give h. -13 Express (-4 - 14 + 0)*(0*i - 2*i + 4*i + (-3 + 3 + 1)*(i - i - 2*i) - i + 0*i - i + 0 + 0 - i - 1 + 1 + i + 1 + 3*i - 1) as p + d*i and give d. -18 Express -12*j**2 - 19 + 19 in the form f + y*j + v*j**2 and give v. -12 Rearrange -28*g - 20*g + 18*g to the form u*g + a and give u. -30 Express -9*s + 44*s + 58*s + 32*s in the form n + t*s and give t. 125 Rearrange 52 - 52 - 20*i to a*i + z and give a. -20 Rearrange ((-3 - 2 + 2)*(3 + 5 - 4) - 3 - 1 + 2)*(-g**2 + 0*g**2 - 2*g**2) to i + r*g**2 + t*g and give r. 42 Rearrange (3 - 3 - 2*n)*(2 - 5*n + 3*n + 5*n) to c + l*n**2 + q*n and give l. -6 Rearrange -1814*r**2 + 2*r**3 + 5 + 1814*r**2 to j*r**3 + s + q*r**2 + m*r and give m. 0 Rearrange 2*z**3 + 2*z**2 + 6*z**3 + 4 + 5*z**3 - 2 to m*z**2 + y*z**3 + n*z + j and give y. 13 Rearrange (-1 + 2 - 3)*(0 + 0 - 2*u**2)*(-25 + 6 + 61) to p + a*u + y*u**2 and give a. 0 Rearrange (-2 - 2*n + 4*n - n)*(-14 + 15 + 2*n**3 + 4*n + 8*n) to y*n**3 + f*n**2 + o + p*n + c*n**4 and give p. -23 Rearrange 3*k**2 - 1 + k**3 - k**2 - 2
{ "pile_set_name": "DM Mathematics" }
What is the smallest common multiple of 121 and 55? 605 What is the common denominator of 91/108 and -101/154? 8316 Calculate the common denominator of 149/12 and -95/8. 24 Calculate the least common multiple of 3825 and 1275. 3825 Calculate the lowest common multiple of 1341 and 3. 1341 Calculate the common denominator of -123/190 and 74/171. 1710 What is the least common multiple of 8 and 376? 376 Calculate the common denominator of -15/8 and -11/94. 376 Calculate the common denominator of -123/430 and 29/559. 5590 Calculate the common denominator of 46/427 and -37/610. 4270 Calculate the least common multiple of 144 and 144. 144 Calculate the common denominator of 17/318 and -87/242. 38478 Find the common denominator of -81/1640 and -145/1476. 14760 Calculate the common denominator of 119/108 and 71/90. 540 Calculate the common denominator of 4/77 and -67/2828. 31108 What is the common denominator of -32/45 and 7/5? 45 Find the common denominator of 45/632 and -5/1343. 10744 What is the common denominator of -17/8352 and -149/180? 41760 What is the common denominator of -16/15 and -51/40? 120 Calculate the least common multiple of 20 and 302. 3020 What is the common denominator of 39/20 and -71/554? 5540 Calculate the lowest common multiple of 244 and 80. 4880 What is the smallest common multiple of 64 and 14? 448 What is the least common multiple of 30 and 215? 1290 What is the common denominator of -93/4 and -57/20? 20 Find the common denominator of 83/6 and 85/1281. 2562 Calculate the least common multiple of 692 and 2. 692 Calculate the smallest common multiple of 1798 and 348. 10788 Find the common denominator of 107/20 and -55/2894. 28940 What is the lowest common multiple of 350 and 315? 3150 Calculate the common denominator of -15/119 and 3/70. 1190 What is the smallest common multiple of 224 and 224? 224 Calculate the smallest common multiple of 117 and 1807. 16263 What is the least common multiple of 351 and 297? 3861 Calculate the common denominator of 57/56 and 151/5244. 73416 What is the smallest common multiple of 308 and 252? 2772 Find the common denominator of 19/32 and -19/322. 5152 What is the lowest common multiple of 9333 and 21? 65331 Calculate the common denominator of -40/9 and 25/432. 432 Calculate the least common multiple of 1142 and 6. 3426 What is the common denominator of -51/14 and 8/357? 714 Find the common denominator of -149/120 and 37/280. 840 Calculate the common denominator of 77/1746 and -55/7566. 22698 Calculate the lowest common multiple of 2086 and 147. 43806 Calculate the smallest common multiple of 4 and 440. 440 Calculate the smallest common multiple of 63 and 378. 378 Calculate the common denominator of 59/7 and 119/36. 252 What is the common denominator of -64/3261 and -71/27? 29349 Calculate the lowest common multiple of 3510 and 60. 7020 What is the smallest common multiple of 49 and 350? 2450 What is the least common multiple of 264 and 154? 1848 What is the common denominator of -151/66 and 97/4188? 46068 Calculate the smallest common multiple of 40 and 8. 40 What is the smallest common multiple of 12 and 1680? 1680 Calculate the smallest common multiple of 780 and 1170. 2340 Find the common denominator of -16/39 and -1/270. 3510 What is the common denominator of -187/150 and 187/30? 150 What is the common denominator of 17/4 and 125/12? 12 What is the common denominator of -62/5 and 5/3352? 16760 What is the common denominator of -37/6 and -33/106? 318 What is the least common multiple of 33 and 1331? 3993 What is the least common multiple of 144 and 18? 144 Calculate the smallest common multiple of 1172 and 1. 1172 What is the lowest common multiple of 183 and 36? 2196 Calculate the common denominator of -121/522 and -37/12. 1044 What is the common denominator of 79/360 and 85/2? 360 Find the common denominator of 23/936 and -83/8. 936 What is the common denominator of 89/1464 and -103/4026? 16104 What is the smallest common multiple of 2829 and 24? 22632 Find the common denominator of -41/888 and -46/777. 6216 What is the lowest common multiple of 544 and 374? 5984 Calculate the common denominator of 97/1528 and -85/44. 16808 What is the lowest common multiple of 45 and 72? 360 What is the least common multiple of 2 and 26? 26 What is the smallest common multiple of 27 and 465? 4185 What is the common denominator of -43/45 and 11/840? 2520 Calculate the least common multiple of 80 and 110. 880 Calculate the least common multiple of 80 and 570. 4560 What is the least common multiple of 7840 and 490? 7840 Calculate the lowest common multiple of 24 and 15. 120 Calculate the least common multiple of 168 and 154. 1848 Calculate the common denominator of -161/78 and -131/198. 2574 What is the least common multiple of 369 and 6888? 20664 Find the common denominator of 91/354 and 41/14. 2478 What is the common denominator of -61/1092 and -83/252? 3276 What is the smallest common multiple of 312 and 18? 936 Calculate the least common multiple of 7 and 952. 952 Calculate the common denominator of 93/8 and 37/784. 784 Calculate the common denominator of 13/324 and 5/36. 324 Calculate the smallest common multiple of 46 and 8. 184 Find the common denominator of 91/1076 and -11/280. 75320 Calculate the common denominator of 32/29 and 5/88. 2552 Calculate the least common multiple of 60 and 300. 300 What is the lowest common multiple of 180 and 126? 1260 Calculate the least common multiple of 55 and 70. 770 What is the smallest common multiple of 819 and 728? 6552 Calculate the least common multiple of 4 and 805. 3220 Calculate the common denominator of 69/9602 and -45/8. 38408 What is the least common multiple of 51 and 51? 51 Find the common denominator of 45/52 and 103/416. 416 Calculate the smallest common multiple of 4 and 76. 76 What is the smallest common multiple of 671 and 793? 8723 Calculate the least common multiple of 282 and 66. 3102 Calculate the common denominator of 75/4 and 1/1986. 3972 What is the common denominator of 10/9 and -5/7? 63 Calculate the smallest common multiple of 2332 and 6. 6996 What is the common denominator of 115/24 and 137/12? 24 Calculate the common denominator of 35/368 and -43/552. 1104 Calculate the common denominator of -55/1317 and 101/24. 10536 Calculate the common denominator of -41/723 and -145/18. 4338 Calculate the lowest common multiple of 108 and 1080. 1080 What is the least common multiple of 28 and 140? 140 Calculate the common denominator of 3/704 and 131/2112. 2112 What is the common denominator of 91/16 and -57/2600? 5200 Find the common denominator of 97/10 and -67/1050. 1050 What is the lowest common multiple of 55 and 15? 165 What is the least common multiple of 81 and 108? 324 Calculate the smallest common multiple of 20 and 130. 260 What is the least common multiple of 54 and 142? 3834 What is the common denominator of -77/136 and -1/3213? 25704 What is the smallest common multiple of 4 and 103? 412 Calculate the smallest common multiple of 115 and 10. 230 Find the common denominator of 139/408 and -179/2040. 2040 What is the common denominator of -26/133 and -32/7567? 143773 What is the least common multiple of 14 and 3696? 3696 Calculate the common denominator of 117/160 and 47/160. 160 Calculate the smallest common multiple of 46 and 6. 138 Find the common denominator of 107/30 and 53/22296. 111480 Calculate the least common multiple of 62 and 12. 372 Calculate the least common multiple of 1359 and 6. 2718 Calculate the lowest common multiple of 135 and 6. 270 What is the common denominator of -65/69 and -7/3? 69 Find the common denominator of -39/23 and -11/598. 598 Calculate the lowest common multiple of 10 and 644. 3220 Calculate the smallest common multiple of 6 and 2628. 2628 What is the lowest common multiple of 8 and 9484? 18968 What is the lowest common multiple of 99 and 639? 7029 Calculate the lowest common multiple of 3141 and 2. 6282 Calculate the lowest common multiple of 120 and 120. 120 What is the least common multiple of 16784 and 1? 16784 What is the lowest common multiple of 121 and 13695? 150645 Calculate the common denominator of -63/4546 and 95/8. 18184 Calculate the common denominator of -41/12 and 95/5356. 16068
{ "pile_set_name": "DM Mathematics" }
lculate d(a) - 2*x(a). 6*a**2 + 1 Let f(w) = 3*w - 12. Let m(b) = -2*b + 6. Let v(r) = -3*f(r) - 5*m(r). Let t(g) = g - 1. What is -4*t(s) - v(s)? -5*s - 2 Let a(z) = -4*z**2 + 8*z - 5. Let u(n) = -4*n**2 + 7*n - 3. Calculate -2*a(l) + 3*u(l). -4*l**2 + 5*l + 1 Let p be (18/15)/((-6)/20). Let l(t) = -t**2. Let y(g) = -10*g**2 - g + 3. Let b(a) = 4*l(a) - y(a). Let c(u) = -5*u**2 - u + 2. Determine p*b(k) - 5*c(k). k**2 + k + 2 Suppose 5*b - 4*b = -1. Let x(d) = 2*d**2 - 4*d. Let c(m) = -m**2 + m. Let n(h) = 3*c(h) + x(h). Let k = 6066 + -6064. Let t(i) = -i**2. Give b*t(p) + k*n(p). -p**2 - 2*p Let y(c) = 20*c**2 + 16*c + 6. Let q(r) = -7*r**2 - 6*r - 2. Calculate -8*q(f) - 3*y(f). -4*f**2 - 2 Let u(y) = -1071*y. Let c(a) = 4*a. Determine 306*c(g) + u(g). 153*g Let r(y) = -y**3 - 178*y**2 - 10*y. Let q(f) = f**3 + 119*f**2 + 7*f. Determine -7*q(d) - 5*r(d). -2*d**3 + 57*d**2 + d Let n(x) = 3*x + 2. Suppose -2*w - 10 - 12 = 0. Let y(c) be the first derivative of 9*c**2/2 + 6*c + 81. Calculate w*n(j) + 4*y(j). 3*j + 2 Let m(n) = 10*n**3 + 4*n**2 - 161*n + 3. Let h(y) = -2*y**3 - y**2 - 1. Give -4*h(a) - m(a). -2*a**3 + 161*a + 1 Let i(u) = u - 67. Let b(w) = w - 35. Determine -5*b(x) + 2*i(x). -3*x + 41 Let g(f) = 4*f**2 + 2*f + 3. Let b = -143 + 141. Let y(t) = -5*t**2 - 2*t - 3. Give b*y(r) - 3*g(r). -2*r**2 - 2*r - 3 Let a(w) = -5*w**2 - 153. Let o(c) = -c**2. Calculate a(v) - 4*o(v). -v**2 - 153 Suppose -5*x + 25 = -5*f, -11*f - 2*x = -10*f + 11. Let k(i) = 5*i - 5. Let w(y) = 9*y - 9. Determine f*k(v) + 4*w(v). v - 1 Let l(y) = -2*y. Let m(r) = 43*r + 2. What is 3*l(b) - m(b)? -49*b - 2 Let t(k) = -15*k**3 + k**2 - 5. Let w(a) = 7*a**3 + 2. Let h(u) = u**3 - 10*u**2 + 22*u + 10. Let g be h(5). Determine g*w(n) - 2*t(n). -5*n**3 - 2*n**2 Let d(k) = 21*k**2 + 5*k - 4. Let z(o) = 20*o**2 + 4*o - 3. Calculate -4*d(a) + 5*z(a). 16*a**2 + 1 Let t(c) = -2*c**2 - 1. Let l(a) = -2*a**2 - 5*a + 9. Calculate l(o) - 2*t(o). 2*o**2 - 5*o + 11 Let i(j) = j + 42. Let h(r) = r + 41. Give 4*h(n) - 5*i(n). -n - 46 Let v(y) = 2*y - 2. Let f be 46/14 + 14/(-49). Suppose 12 = -2*m - 4*o, o + f = -2. Suppose m = h - 0. Let t(z) = -1. What is h*t(s) - v(s)? -2*s - 2 Let m(c) = 9*c + 0 + 2 + 1 - 7*c + 0*c. Let d(g) = g + 1. Let h = -6 + 11. Suppose 4*k = h*r + 21, -3*k + 5*r - r + 16 = 0. What is k*d(a) - m(a)? 2*a + 1 Let k(d) be the third derivative of -13*d**5/60 - d**3/3 - 167*d**2. Let j(c) = -1065*c**2 - 165. Give 2*j(t) - 165*k(t). 15*t**2 Let v(c) = 8*c - 4. Let l(m) = -m - 1. Let w(k) = -11*k + 3. Let j(z) = -2*l(z) + w(z). What is 3*j(n) + 4*v(n)? 5*n - 1 Let u = -6 + 8. Suppose -5*z = -28 - u. Let i(m) = z*m + 4 - 2 + 1 + 0*m. Let h(v) = -5*v - 2. Give 5*h(p) + 4*i(p). -p + 2 Let m = 6 + -8. Let y be m/(4 + -2)*-1. Let l = -6 + y. Let d(u) = u**2 - 8. Let g(f) = f**2 - 7. What is l*d(w) + 6*g(w)? w**2 - 2 Let x(h) be the first derivative of 21 + 0*h**2 - h - 1/3*h**3. Let c(u) = 28*u**2 + 24. Calculate c(l) + 24*x(l). 4*l**2 Let u(m) = -5*m**2 - 4*m + 1. Let g(s) = -s**2 - s. Let a(j) = 4*g(j) - u(j). Let r(t) = 5*t**2 - 7*t - 3. Determine -3*a(l) + r(l). 2*l**2 - 7*l Let j(b) = 37*b - 1. Let d(v) = 19*v - 1. Calculate -11*d(o) + 6*j(o). 13*o + 5 Let l(c) = -c**2 + 9*c. Let x(w) = 482*w**2 - 10845*w. What is -1205*l(n) - x(n)? 723*n**2 Let v(s) = 9*s**3 - 149*s**2 - 5*s + 5. Let z(x) = -4*x**3 + 75*x**2 + 2*x - 2. Calculate 2*v(u) + 5*z(u). -2*u**3 + 77*u**2 Suppose 0 = 647*j - 671*j - 24. Let l(o) = 4*o - 3*o**2 + o - 4 - 2*o. Let t(r) = -r + 1. Calculate j*l(q) - 4*t(q). 3*q**2 + q Let l(q) = 49*q**2 - 5*q + 2. Let w(z) = -z**2 + z. What is -l(o) - 5*w(o)? -44*o**2 - 2 Let n(o) = o**3 - o**2 + o + 4. Let j be n(0). Let v = -10 + -2. Let s = -9 - v. Let p(f) = 2*f**2 + 6*f - 6. Let m(t) = -t**2 - 5*t + 5. Give j*m(b) + s*p(b). 2*b**2 - 2*b + 2 Let d(g) = 6*g**3 - 3*g. Let v(k) = k. Suppose -4*o - n - 1 = 27, 4*o + 8 = 4*n. What is o*v(l) - 2*d(l)? -12*l**3 Let b(m) = 131*m + 18. Let x(n) = 65*n + 10. Give 4*b(o) - 7*x(o). 69*o + 2 Let z(u) = -u**2 - 5*u - 3. Let q be z(-4). Suppose 98 = 20*k + 29*k. Let s(f) = f + 1. Let y(d) = 2*d**2 - 2. What is k*s(r) + q*y(r)? 2*r**2 + 2*r Let q(s) = -16*s**2 - 32*s. Let w(f) = 0 - 996*f + 0 + 995*f. Determine q(r) - 32*w(r). -16*r**2 Let j(x) = 26*x**2 - 6*x - 53. Let n(k) = -9*k**2 + 2*k + 18. Calculate 6*j(q) + 17*n(q). 3*q**2 - 2*q - 12 Let z(c) = 3*c**3 + 4*c**2 - 14*c - 2. Let m(q) = -10*q**3 - 13*q**2 + 41*q + 6. Calculate 2*m(u) + 7*z(u). u**3 + 2*u**2 - 16*u - 2 Let t(l) = 5*l + 15. Let d(q) = -2*q - 5. Let k(w) = -11*d(w) - 4*t(w). Let b = -1206 + 1200. Let j(o) = 6*o - 14. Determine b*j(f) + 17*k(f). -2*f - 1 Let r(g) be the second derivative of g**5/20 - g**3/6 - g**2/2 + 2*g + 62. Let q(u) = 17*u**3 - 6*u - 6. Determine q(i) - 6*r(i). 11*i**3 Let j(g) = -5*g**2 - 2*g - 5. Let p(f) = 14*f**2 + 5*f + 14. Suppose 3 = -12*d + 15*d. Let z be d/(-4) - 210/56. Give z*p(b) - 11*j(b). -b**2 + 2*b - 1 Let l(r) = 2*r + 26. Let h(z) = -z - 3*z + 6*z - 3*z - 8. Let v(o) = -10*h(o) - 3*l(o). Let c(m) = m + 1. What is 7*c(t) - 2*v(t)? -t + 3 Let l(r) = -5*r**3. Let z(f) = -5*f**2 + 6*f - f**3 - 4 + 2*f**3 - 2. Let y be z(4). Let u(b) = -3*b**3 + y*b**3 - b**3. Calculate -3*l(n) + 7*u(n). n**3 Let a(w) = 10*w**3 - 11*w + 11. Let x(f) = -2*f - 3*f**3 + 5*f**3 - 1760 + 1762. Calculate 2*a(h) - 11*x(h). -2*h**3 Let q(k) = 4*k**2 - 6. Suppose s - 30 = 6*s. Suppose -14*u = -20*u - 42. Let v(y) = -5*y**2 + 7. What is s*v(l) + u*q(l)? 2*l**2 Let j be ((-2)/(-1))/(((-14)/(-36))/7). Suppose -13*z - j = -z. Let a(m) = -5*m - 3. Let o(q) = -1. What is z*o(h) + a(h)? -5*h Let s(o) = o - 1. Let w(b) = -2 + 3*b + b**3 + 2*b**2 + 0*b**3 + 0. Suppose 15*v + 123 = -26*v. Calculate v*s(f) + w(f). f**3 + 2*f**2 + 1 Let a(s) = -7 + 4 + 3 - 3*s. Let z(c) = 3*c. Let o be (-2 - -1) + (-5 - -7). Let u be (o + -4 - -1) + -2. Calculate u*z(y) - 3*a(y). -3*y Let b(y) = -14*y**2 - 4*y - 28. Let q(p) = -31*p**2 - 9*p - 57. Calculate -9*b(h) + 4*q(h). 2*h**2 + 24 Let r(b) = 2*b**3 - 2*b**2 - 5*b + 30. Let o(g) = -3*g**3 + 3*g**2 + 7*g - 45. Calculate -5*o(f) - 7*r(f). f**3 - f**2 + 15 Let p(a) = 3*a**2 - a - 4. Let i be 61 - -4*2/4. Let b = -68 + i. Let t(d) = -4*d**2 + d + 5. Give b*p(y) - 4*t(y). y**2 + y Let r(g) = 390*g**2 + 91*g + 91. Let s(j) = -45*j**2 - 19*j - 19. Let t(i) = 23*i**2 + 10*i + 10. Let b(h) = -6*s(h) - 11*t(h). Calculate 91*b(n) - 4*r(n). -13*n**2 Let k(x) = -12*x. Let d(g) = 6*g. Let c(l) = -7*l + 17. Let q be c(3). Give q*k(m) - 7*d(m). 6*m Let q(y) = 3534*y**3 + 341*y**2 - 341*y - 682. Let v(k) = -62*k**3 - 6*k**2 + 6*k + 12. Give -6*q(z) - 341*v(z). -62*z**3 Let o(v) = v**2 - 2*v + 3. Let y(u) = u**2 - u + 3. Let z be (0 + (-6)/4*-2)/(-1). Calculate z*y(x) + 2*o(x). -x**2 - x - 3 Suppose -8 = -5*l + l. Let j(n) = -4 + 3*n**2 + n + l - 3. Let a(b) = -6*b**2 - 2*b + 9. What is -6*a(g) - 11*j(g)? 3*g**2 + g + 1 Let s(x) = 5*x**3 + 5*x**2 - 5*x - 5. Let t = -158 - -159. Let v(j) = -j**2 + j + 1. Determine t*s(o) + 5*v(o). 5*o**3 Let q(d) = 6*d**3 - 6*d - 6. Let y(g) = -6*g**3 + 5*g + 5. Let k = 132 + -138. What is k*y(m) - 5*q(m)? 6*m**3 Let h(l) = 1. Let n = 510 + -528. Let s(j) = 9*j + 18. Calculate n*h(c) + s(c). 9*c Suppose -5*r = 3*l - 5, 34 = -4*l + 14. Let c(p) = -p + 4. Let f(n) = n - 4. What is r*c(q) + 3*f(q)? -q + 4 Let b(l) = -13*l - 16. Let r(o) = 39*o + 46. What is 17*b(w) + 6*r(w)? 13*w + 4 Let u(f) = -5*f**2 + 9*f. Let s(z) = z**2 - 2*z. Suppose 4*t - 6*t + 4 = 0. Suppose w + 0*w - 16 = 5*m, -3*w - 37 = t*m. Calculate w*s(o) - 2*u(o). o**2 Let o(j) = j - 1. Let x(v) = 8*v - 1. Suppose i - 4 = 8*p - 11*p, 0 = -4*p - 3*i + 7. Give p*x(w) - 6*o(w). 2*w + 5 Suppose -2*q - 3 = q. Let o(p) be the second derivative of -p**4/12 + p**3/6 + p**2/2 - 287*p. Let z(x) = x**3 + x**2 - x - 1. Determine q*o(d) - z(d). -d**3 Let y(g) = -11*g + 7*g**2 + g + 11*g - 8*g**2. Let f(c) = 2*c**3 - 3*c**2 + 4*c. What is -f(z) + 3*y(z)? -2*z**3 - z Let b(c) be the third derivative of -5*c**4/8 + c**3/6 + 10*c**2. Let v(y) = 7*y. Let r(j) = 4*b(j) + 9*v(j). Let n(w) = 7*w + 9. What is -4*n(m) + 9*r(m)? -m Let d(i) = -2*i**3 + 38*i**2 - 2*i. Let p(o) = o**3 + o. Calculate d(k) + 3*p(k). k**3 + 38*k**2 + k Let y be (-6)/(-2 + 1/1). L
{ "pile_set_name": "DM Mathematics" }
uence use when three letters picked without replacement from {s: 1, e: 4, j: 4, t: 3, u: 1, a: 1}? 1/546 Calculate prob of sequence cycc when four letters picked without replacement from cccyccy. 1/7 Four letters picked without replacement from bbbfjdf. What is prob of sequence fjfb? 1/140 Four letters picked without replacement from hrwqqhhuhwhwqhwh. What is prob of sequence uwqw? 3/3640 Four letters picked without replacement from aebaaeavvavvavh. Give prob of sequence ebav. 1/546 Two letters picked without replacement from {g: 1, m: 10, d: 1, u: 2}. Give prob of sequence gm. 5/91 What is prob of sequence ls when two letters picked without replacement from nlaannslnnwnhnn? 1/105 Calculate prob of sequence ggg when three letters picked without replacement from gggxgxggxggg. 21/55 Four letters picked without replacement from qzqqzlqlqhhglzghq. Give prob of sequence gghq. 3/4760 Calculate prob of sequence da when two letters picked without replacement from ujduajxuxj. 1/90 Two letters picked without replacement from ndutr. Give prob of sequence rt. 1/20 Four letters picked without replacement from tttqntaaqttt. Give prob of sequence aqnt. 7/2970 Two letters picked without replacement from {x: 3, h: 8, k: 6}. What is prob of sequence kx? 9/136 What is prob of sequence mm when two letters picked without replacement from {m: 11, a: 2}? 55/78 What is prob of sequence ygyg when four letters picked without replacement from gyggygggg? 1/36 Calculate prob of sequence cnny when four letters picked without replacement from cyrrncykcxxncx. 2/3003 Calculate prob of sequence idi when three letters picked without replacement from {d: 7, i: 3}. 7/120 Three letters picked without replacement from kfkakaklf. What is prob of sequence kkf? 1/21 Three letters picked without replacement from wwiwiieiwwiiiiiiii. What is prob of sequence wwi? 5/102 Calculate prob of sequence ws when two letters picked without replacement from yttyttyatwwsytta. 1/120 Three letters picked without replacement from svw. What is prob of sequence wsv? 1/6 Calculate prob of sequence xxx when three letters picked without replacement from {x: 6}. 1 What is prob of sequence ono when three letters picked without replacement from {r: 4, o: 9, n: 1}? 3/91 Calculate prob of sequence sscw when four letters picked without replacement from {c: 4, s: 2, w: 1, x: 1}. 1/210 Calculate prob of sequence th when two letters picked without replacement from {t: 2, h: 6}. 3/14 Two letters picked without replacement from iifiiiiiffiififi. What is prob of sequence if? 11/48 Calculate prob of sequence ttpt when four letters picked without replacement from ppttptrt. 3/70 What is prob of sequence kkq when three letters picked without replacement from {q: 3, k: 7}? 7/40 Calculate prob of sequence mn when two letters picked without replacement from {j: 7, m: 2, c: 4, n: 3, s: 1}. 3/136 Three letters picked without replacement from {e: 5, l: 2, z: 5}. Give prob of sequence ezl. 5/132 Calculate prob of sequence iyi when three letters picked without replacement from duuuiudiyc. 1/360 Four letters picked without replacement from {j: 1, s: 7, c: 3, i: 4, q: 1}. What is prob of sequence sqic? 1/520 What is prob of sequence xsss when four letters picked without replacement from {s: 12, x: 7}? 385/3876 What is prob of sequence uuaa when four letters picked without replacement from {a: 5, u: 13}? 13/306 Calculate prob of sequence jcx when three letters picked without replacement from ocoxajxaxx. 1/180 What is prob of sequence wh when two letters picked without replacement from {w: 1, h: 2, e: 1}? 1/6 What is prob of sequence ffw when three letters picked without replacement from {x: 1, f: 3, q: 1, s: 1, w: 1}? 1/35 Four letters picked without replacement from {f: 1, u: 1, y: 11, r: 1, l: 2}. What is prob of sequence yyyf? 33/1456 Calculate prob of sequence mxxm when four letters picked without replacement from {m: 11, x: 2}. 1/78 Calculate prob of sequence iux when three letters picked without replacement from zizxuxzuzzz. 2/495 Four letters picked without replacement from lfllf. What is prob of sequence flfl? 1/10 Calculate prob of sequence nnq when three letters picked without replacement from ddddndqdnd. 1/360 Four letters picked without replacement from isssssehshmhssshms. Give prob of sequence hmei. 1/9180 What is prob of sequence bo when two letters picked without replacement from {o: 6, b: 2}? 3/14 Three letters picked without replacement from {m: 3, c: 2, o: 1, u: 4, y: 3, i: 6}. Give prob of sequence uyu. 2/323 Four letters picked without replacement from {c: 12, d: 7}. What is prob of sequence cdcc? 385/3876 Calculate prob of sequence joe when three letters picked without replacement from {o: 1, e: 1, j: 1}. 1/6 What is prob of sequence mmo when three letters picked without replacement from {o: 3, m: 2}? 1/10 Four letters picked without replacement from {d: 3, g: 3, l: 2, r: 6, j: 6}. Give prob of sequence glgr. 1/1615 Calculate prob of sequence aad when three letters picked without replacement from adaodoaoadaooaaa. 1/20 What is prob of sequence olb when three letters picked without replacement from {b: 5, h: 3, l: 3, o: 1}? 1/88 Three letters picked without replacement from dddrdyydddr. Give prob of sequence ryy. 2/495 Four letters picked without replacement from pocyr. Give prob of sequence ypry. 0 Four letters picked without replacement from sqeqsqeeeqsq. What is prob of sequence qssq? 1/99 Four letters picked without replacement from ccghmcmscgemccs. Give prob of sequence cmhm. 1/910 What is prob of sequence zzm when three letters picked without replacement from {z: 3, m: 3}? 3/20 Calculate prob of sequence fu when two letters picked without replacement from {f: 1, b: 1, t: 1, y: 1, u: 1}. 1/20 Calculate prob of sequence ttoo when four letters picked without replacement from ootttooooo. 1/20 What is prob of sequence pph when three letters picked without replacement from {p: 4, y: 1, h: 4, n: 2}? 8/165 What is prob of sequence qtq when three letters picked without replacement from {p: 2, t: 1, q: 1, v: 2, r: 5, y: 2}? 0 Four letters picked without replacement from bbjabbjbo. Give prob of sequence bajo. 5/1512 Three letters picked without replacement from {l: 2, e: 2, u: 1, m: 1, i: 1}. What is prob of sequence lml? 1/105 What is prob of sequence llvf when four letters picked without replacement from fovlvllflvflfl? 15/1001 Three letters picked without replacement from wuuwwwww. What is prob of sequence uww? 5/28 What is prob of sequence tf when two letters picked without replacement from {v: 5, q: 1, n: 6, a: 3, f: 2, t: 3}? 3/190 Two letters picked without replacement from {a: 1, r: 1, q: 1}. What is prob of sequence ar? 1/6 Three letters picked without replacement from susiwu. What is prob of sequence wui? 1/60 What is prob of sequence xxxe when four letters picked without replacement from {x: 7, m: 3, e: 2, f: 2, t: 3, q: 1}? 7/1224 Two letters picked without replacement from {b: 3, w: 1, e: 5, t: 4, y: 1}. What is prob of sequence ty? 2/91 Four letters picked without replacement from {h: 2, t: 1, q: 1, u: 3}. Give prob of sequence qhuh. 1/140 Two letters picked without replacement from rueurpuuprxeur. Give prob of sequence pr. 4/91 Calculate prob of sequence yyy when three letters picked without replacement from {y: 5}. 1 Calculate prob of sequence cdh when three letters picked without replacement from hdcc. 1/12 Two letters picked without replacement from {l: 5, g: 4, k: 5, v: 1}. What is prob of sequence kv? 1/42 Two letters picked without replacement from jjjipjvppjptpidpij. Give prob of sequence dp. 1/51 What is prob of sequence ee when two letters picked without replacement from {w: 1, e: 2}? 1/3 What is prob of sequence yuy when three letters picked without replacement from yrryu? 1/30 Calculate prob of sequence mn when two letters picked without replacement from mmnmmmmmmmmmmnmmmn. 5/34 Four letters picked without replacement from luuu. What is prob of sequence uuul? 1/4 What is prob of sequence beb when three letters picked without replacement from {e: 6, j: 1, c: 1, d: 4, b: 3}? 6/455 Calculate prob of sequence ot when two letters picked without replacement from {o: 1, y: 1, t: 2}. 1/6 Four let
{ "pile_set_name": "DM Mathematics" }
3*z - 33, 5*z - 53 = -3*x + 4. List the prime factors of x. 2, 3 Let c = 20 + 3. Suppose c = 4*l - j, j = -6*l + l + 40. Let g = l - 1. List the prime factors of g. 2, 3 Suppose -429 = 4*y - 5*x - 1735, -1320 = -4*y - 2*x. What are the prime factors of y? 7, 47 Suppose 0*z = 4*z - 4. Suppose 0*v - 5*v = 5. List the prime factors of 1 + v + 1 + z. 2 Let r(n) = -6*n**3. What are the prime factors of r(-2)? 2, 3 List the prime factors of 6 + -8 - 1*-47. 3, 5 Let p be 10 - 0 - (-3 + 6). Suppose -1 = b - p. List the prime factors of -36*((-21)/b - -3). 2, 3 What are the prime factors of (178 + 0)/(8 + -6)? 89 Let r(p) = -p + 16. Let h be r(7). Let u(o) = -4*o**2 - h + 3*o + o**3 + o - 2*o**2. What are the prime factors of u(6)? 3, 5 Suppose -4*b = -b - 12. Let g(i) = 2*i**2 - 1 - 5*i**2 - 1 + 2*i + i**3 - 4. List the prime factors of g(b). 2, 3 Suppose 53 = l - 55. Let b = l - 61. List the prime factors of b. 47 Let k = 5 + -3. Suppose 0 = -2*o - 2, o + 3*o + 12 = 4*s. Let l = s + k. List the prime factors of l. 2 Suppose 0 = -25*a + 20*a + 330. What are the prime factors of a? 2, 3, 11 Let d = 7 + 23. What are the prime factors of d? 2, 3, 5 Let s(m) = -m**3 - 2*m**2 + 4*m. Let h be s(-6). Let p be ((-1)/2)/((-2)/h). Suppose f + p = 3*f. What are the prime factors of f? 3, 5 Let y = 116 + -82. Suppose y = 5*t - 96. What are the prime factors of t? 2, 13 Let f be -2 + -1*(-1 + 1). Let h = 15 - f. List the prime factors of h. 17 Suppose 5*h + 0*h = 900. Suppose 5*y = -3*q + h, q = 5*y - 228 + 28. List the prime factors of y. 3, 13 Suppose 3*n - 56 - 67 = 0. Suppose -n = -3*z + 1. List the prime factors of z. 2, 7 Let t = 130 + -70. What are the prime factors of t? 2, 3, 5 Suppose -3*h + 106 = 5*c, -5*c + h + 84 = -14. List the prime factors of c. 2, 5 Let z(l) = l**3 + 11*l**2 + 11*l + 5. Let r be ((-13)/5 - -3)*-25. Let i be z(r). List the prime factors of (1/(-2))/(i/120). 2, 3 Let o = 235 - 156. List the prime factors of o. 79 List the prime factors of 391 - (2 + (-4 + 3)*0). 389 Let l = 49 - 37. What are the prime factors of l? 2, 3 Let k(o) = 10*o + 2. Let q(s) = s**2 - s - 1. Let a(y) = -k(y) - q(y). List the prime factors of a(-7). 13 Let s(d) = d**3 - 2*d**2 - 7*d. List the prime factors of s(5). 2, 5 Suppose 2*o - 70 - 4 = 0. Let q = o - 23. List the prime factors of q. 2, 7 Suppose 2*f + 2*f = 3*u - 7, -3*f - 19 = -5*u. Suppose -4*a + u*a = 0. Suppose 5*r - p - 51 = a, 2*r = -p + 6*p + 2. List the prime factors of r. 11 List the prime factors of -51*(100/(-30) + 0/(-1)). 2, 5, 17 Suppose 3*v + v = 2*n + 58, -3*v - 60 = 3*n. Let d = 55 + n. List the prime factors of d. 2 Let u be 2/(-8) + 2/8. Let l be (8 + -2)/(2 + u). Suppose 0 = 4*k + 4*p - 84, -l*p = -3*k - 7*p + 68. List the prime factors of k. 2 Suppose -31 = -9*j + 41. List the prime factors of j. 2 Let h(d) = -d**3 + 8*d**2 + 4*d + 19. List the prime factors of h(8). 3, 17 Suppose -17*q - 1751 + 4233 = 0. List the prime factors of q. 2, 73 Let s(p) = p**3 + 7*p**2 + 6*p - 6. Let n be s(-6). What are the prime factors of (4/n)/(16/(-72))? 3 What are the prime factors of ((-65)/(-20))/((-3)/(-12))? 13 Suppose -3*u + 97 = -5*v, 3*u - 111 = -u + 3*v. Suppose 0 = 4*m - 5*m + u. What are the prime factors of m? 2, 3 Let m(v) = -5*v**3 + v**2 - 4*v - 6. Let s(c) = 7*c**3 - 2*c**2 + 6*c + 9. Let j(r) = 8*m(r) + 5*s(r). What are the prime factors of j(-2)? 3, 11 Suppose 3*f - 6*b - 895 = -2*b, 3*b - 6 = 0. What are the prime factors of f? 7, 43 Suppose 3*f - r - r = 21, 0 = 3*f + 4*r - 3. List the prime factors of f. 5 Suppose 5*y - 4*i + 5*i - 194 = 0, -5*y = 5*i - 190. List the prime factors of y. 3, 13 Let h be 40/4 - 12/(-4). Let l = -5 + h. List the prime factors of l. 2 Let o(k) = 30*k + 6. What are the prime factors of o(4)? 2, 3, 7 Let u(d) = 9*d - 3. List the prime factors of u(1). 2, 3 Let q(b) = 29*b**2 - 3*b - 29*b**2 - 1 - 6*b**3. What are the prime factors of q(-2)? 53 Let z(c) be the first derivative of -c**4/2 + c**3 + c**2 + c + 7. What are the prime factors of z(-2)? 5 Let n(r) = r**2 - 8*r + 4. Let p be n(6). Let v(x) = x**3 + 8*x**2 - x. Let t be v(p). Suppose -k + t = j, 0*j + 2*j = 4*k - 2. What are the prime factors of j? 5 Let h be (-1)/(-7) + (-7)/49. Let q = h - -11. List the prime factors of q. 11 Suppose -4*r + 4 = 5*k - 29, 5 = k. Suppose -r*x + 16 + 16 = 0. What are the prime factors of x? 2 Let p = 1 + 0. Let c be p/(1*(-3)/(-6)). What are the prime factors of 2 - 0/(-4 + c)? 2 Suppose -z - 2*z = 9, 2*f + 4*z - 476 = 0. What are the prime factors of f? 2, 61 Let g be (0/(-2) + -2)*-2. Let n = 10 - g. List the prime factors of n. 2, 3 Suppose 0 = -3*v - 9 + 24. Suppose 5*h - v = 30. List the prime factors of h. 7 Suppose 0 = -0*o + o. Let m = o - -6. What are the prime factors of m? 2, 3 Let p(n) = n**3 - 2*n**2 - 9*n + 8. What are the prime factors of p(4)? 2 Let l = -4 - -3. Let j = l - -3. Suppose -4*k + 20 = -0*k + j*q, 0 = -3*k - 4*q + 10. List the prime factors of k. 2, 3 Let q be 22*(-1)/(-6)*3. Let k = q + -3. List the prime factors of k. 2 Let k = 13 + -7. Let r(u) = 7*u - 1. Let w be r(k). Suppose -5*q + 29 = -w. List the prime factors of q. 2, 7 Let j = 226 - 109. What are the prime factors of j? 3, 13 Let c(l) = 2*l**2 + 3*l + 4. Let i = -4 + 7. List the prime factors of c(i). 31 Suppose 5*b - 23 = -8. Let q(x) = -x + x**2 - x + x. What are the prime factors of q(b)? 2, 3 Let d(u) = -u**2 + 6*u. Let s be d(5). Suppose -4*o + 4*t - 3*t = s, 2*t = o + 3. Let y = o + 14. List the prime factors of y. 13 Suppose 5*n - 2*l = -0*l + 15, 4*l = 0. Suppose -7 - 5 = n*f. List the prime factors of (-3 + 1)/(2/f). 2 Suppose -75 = -a + 5*j, -2*a + 7*a + 2*j = 429. List the prime factors of a. 5, 17 Let c be (4 + -3)/(-1 - 0). Let s = c + 4. Suppose 3*a = 2*h - 24, 0 = -3*h + s*a - 0*a + 39. What are the prime factors of h? 3, 5 Suppose 0 = -2*t - 4*n + 6, -5*t = 3*n - n - 23. Suppose -2*q + 24 - 18 = 0. Suppose q*h + 4*k = 29, -2*h = -k - 17 + t. What are the prime factors of h? 7 Let u be ((0 - -3) + 7)/2. Let x(s) = -s**3 + 6*s**2 + 2*s + 5. What are the prime factors of x(u)? 2, 5 Let n = 370 - 219. List the prime factors of n. 151 Suppose 0 = -2*f - 0 + 4. Suppose -2*c - 49 = -0*c + 5*r, f*c + 3*r = -55. Let k = -18 - c. List the prime factors of k. 2, 7 Suppose -6*o = -2*o - 28. Suppose -p + o = -5. What are the prime factors of p? 2, 3 Let n(a) = -a**2 + 13*a + 9. What are the prime factors of n(9)? 3, 5 Let g(n) = -4*n + 4*n**3 + n**3 + 2*n**3 - 5*n**3. Let s be g(3). Suppose y - s = -3*q + 4*y, -2*q - 4*y = -10. List the prime factors of q. 11 Let o(v) = v + 5. Let t be o(5). List the prime factors of t*(-3 - (-108)/20). 2, 3 Let q = -53 + 113. Suppose -q = -2*t - 2*t. What are the prime factors of t? 3, 5 Let j = 1 - -34. What are the prime factors of j? 5, 7 Suppose -4*o = -3*o - z - 47, -5*o - 2*z = -221. List the prime factors of o. 3, 5 Suppose -5 + 157 = 5*x + 4*r, x = r + 25. Suppose -3*s - x = -s. Let w = s - -23. List the prime factors of w. 3 Suppose 4*p = 5*y - 7*y + 658, y = -3*p + 326. What are the prime factors of y? 5, 67 Suppose -10*q = -3*q - 462. List the prime factors of q. 2, 3, 11 Suppose -6*x - 25 = 11. Let n(i) be the second derivative of i**5/20 + 7*i**4/12 + 5*i**3/6 + 3*i**2 + i. List the prime factors of n(x). 2, 3 Let k = -8 + 59. What are the prime factors of k? 3, 17 Let x(a) = -11*a + 2. List the prime factors of x(-4). 2, 23 Suppose f = -4*f + 65. List the prime factors of f. 13 List the prime factors of 5/10 + 74/4. 19 Suppose 0 = 4*i - 16, -l - l = 5*i - 44. Suppose 4*t + l = 0, 3*t - 6 = -2*j + 5. What are the prime factors of j? 2, 5 Let j(c) = c**2 + 7*c + 3. Let m be j(-10). Suppose -2*x + 5*i + 70 = 0, 3*x - 2*x - m = 2*i. List the prime factors of x. 5 Let b(o) = o - 9. Let d be b(4). Let x be 1/(15/(-12))*d. Let f = 3 + x. What are the prime factors of f? 7 Let h(k) = k**2 + 18. What are the prime factors of h(-14)? 2, 107 Suppose -73*y + 28 = -72*y. What are the prime factors of y? 2, 7 Let l = -492 - -815. List the prime factors of l. 17, 19 Let b = 18 + -10. What are the prime factors of (-2)/8 - (-290)/b? 2, 3 Let c(w) = -w. List the prime factors of c(-3). 3 Let u be -16*(2 - (-33)/(-12)). Suppose 2*j - 4
{ "pile_set_name": "DM Mathematics" }
6626. Which is the nearest to 1? (a) t (b) z (c) 3/2 c Let z be 19/57*138/115. Suppose p - 3*j + 13 = 2*p, -5*j = -2*p - 18. Which is the closest to p? (a) z (b) -0.4 (c) 0 a Let u = -1266.6 - -1267.1. What is the closest to 0.12 in 7/4, 3, 2, u? u Let q = -7042 - -7043. What is the nearest to 0 in -3, q, -972? q Let s = -74 + 75. Which is the closest to -2/47? (a) 0.5 (b) s (c) 8.4 a Let r = -25 - 50. Let f be (2/(-6))/(r/(-90)). Let s be 3/(27/(-24)) - -3. Which is the closest to f? (a) s (b) 4 (c) 2/7 c Let r = 1.03 + -0.03. Let h = 56 + -54. Let p = h - r. Which is the nearest to -1? (a) -1/4 (b) p (c) 3/2 a Let o(n) = -n**2 - n + 74. Let l be o(-9). Suppose 0 = x + 4*s - s + 16, 22 = -l*x - 4*s. Which is the closest to 1? (a) 0.1 (b) x (c) -2/3 a Let x = -800 + 746. Let g = 0.089 + 55.911. Let d = g + x. What is the closest to d in -0.5, 1/2, -2? 1/2 Let i(d) = -2*d**3 + 3*d**2 - 2*d + 3. Let x be i(2). Let j = -7004.1 + 7004. What is the closest to j in 7, -0.3, 2, x? -0.3 Suppose 4*v - 24 = 8. Suppose v*m + 20*m = -10*m. What is the nearest to 9 in 0.5, 6, m? 6 Let i(v) = 8*v - 8. Let r = -17 - -18. Let t be i(r). Which is the closest to -0.1? (a) t (b) 2/5 (c) 0.3 a Let w = 43747.27 + -43564. Let n = w + -183. What is the closest to 0.2 in 4, n, -0.2? n Let q = -1159/2065 + -3/295. Let g = -157 - 2. Let f = 159.3 + g. Which is the nearest to q? (a) 4 (b) f (c) -2/17 c Let p = -72 - -69. Let c(a) = -a**2 - 3*a + 5. Let v be c(-4). Suppose 3 = 2*i + 1. What is the closest to v in p, i, -2? i Let h = -63 + 75. Let g = h - 11.06. Let y = -1.14 + g. Which is the nearest to -2? (a) -4 (b) -2/7 (c) y b Let z = 10993 + -54959/5. Which is the nearest to 1? (a) -87 (b) -3 (c) z c Let d = -797 - -782. Which is the closest to 0.1? (a) 19 (b) 5 (c) d b Let j = 983 + -969. Suppose -5*b - 7*p + 4*p = 21, -2*b - 4*p - j = 0. Let w be 5*(1 - 14/10). What is the closest to 3 in w, -1/7, b? -1/7 Let a be 0/4 + 3 - -27. Suppose 165 = 3*f + a. Let m = -133/3 + f. What is the nearest to 0 in 0, m, -2/5? 0 Let p = -25.28 + 39.28. What is the nearest to -1 in 3, p, 2/31? 2/31 Let v = -4/31 + -15/124. Which is the nearest to v? (a) 45 (b) 0.4 (c) 4 b Let v = 0.09 + -1.09. Let b = -0.02423 - 0.47577. What is the nearest to 0 in b, -2/9, v? -2/9 Let x = 0.11 + -0.1. Let j = -260 + 205.6. Let v = j + 54. Which is the nearest to x? (a) -4 (b) 0.4 (c) v b Let l = -10 + 29/3. Let t = -10682 + 10684. Let w(d) = -d**3 + 15*d**2 - 25*d - 16. Let r be w(13). Which is the closest to 1/3? (a) r (b) l (c) t b Let t = 47/33 + -1351/99. Let f = t + 104/9. Which is the nearest to f? (a) 0.3 (b) 0.2 (c) 4 (d) -1/9 d Let i = -2380 + 2378. Which is the closest to 4? (a) 0 (b) i (c) -22 (d) -0.1 a Let p = -0.1 + 0.07. Let f = p + 1.03. Suppose z + 53*z - 162 = 0. Which is the closest to 1/4? (a) z (b) f (c) 4 b Let y(q) be the second derivative of q**4/12 + q**3/6 + 9*q**2/2 - 45*q. Let f be y(-3). Let g be -2*(1 - 12/f). What is the nearest to 2 in 3, g, -5? 3 Let k be ((-40)/96)/((-60)/9). Let i = -0.01 - -0.11. Let p be 6/(-9)*3/(-2). Which is the closest to i? (a) p (b) k (c) -5 b Let w = -5 + 2. Let k = -322 + 562. Let r = -239.5 + k. What is the closest to -3 in r, 2/3, w? w Let u = -5694 + 5693.6. What is the nearest to -11 in 21, u, -4, 4? -4 Let y = 136 - 133.56. Let s = y + -1.94. Let u = 5 + -1. What is the nearest to 0.06 in u, -0.2, s? -0.2 Let q be (-35)/(-18) - (-20)/(-45) - 0. Which is the nearest to -2/7? (a) 2 (b) 3 (c) q c Let i = 9661 - 28984/3. Let s be (-2)/(-2)*(-9)/(-15). What is the nearest to -1/5 in 0, i, s? i Let z = -0.945 + -46.105. Let b = z + 0.05. Let m = b - -47. What is the nearest to m in 0.5, -3, -1? 0.5 Let t = 2587.03 - 2587. What is the closest to t in -14, -0.2, 0.2? 0.2 Suppose -44*i + 208 = -153*i - 119. What is the nearest to 2/7 in 5, i, -0.8, 6? -0.8 Let s be (-50)/(-125)*(-10)/(-24). Which is the closest to 52? (a) -3 (b) 3 (c) s b Suppose 0 = 4*u - 16, 4 = 2*k + k + u. Suppose 0 = -4*i + 5*o + 24, 3*i - 4*o - 21 + 2 = k. Which is the nearest to -0.2? (a) 0.3 (b) -1/5 (c) i b Let x(j) = -3*j**2 + 415*j - 136. Let o be x(138). Which is the nearest to -0.19? (a) 1/13 (b) o (c) 5 (d) -4 a Let v = 3770 + -3769.9. Let z(d) = d**3 - 4*d**2 + 2*d + 6. Let g be z(3). What is the nearest to v in -0.4, g, -1? -0.4 Let t = 0.07464 + -0.07464. Let s = -0.72 + 0.7. Let z = -2.02 - s. Which is the closest to z? (a) t (b) -0.3 (c) 2 b Let l be 90/75 - (8/12 - (-14)/45). Which is the nearest to -0.1? (a) l (b) 6 (c) 2/11 (d) -0.5 c Let w = -10575 + 10574. Which is the closest to -1/3? (a) -0.2 (b) 1/4 (c) -4/27 (d) w a Let a = -171 - -1541/9. Let s be (6/(-20))/((-6)/8). Let p = -7844.8 - -7848.8. What is the closest to 1 in p, a, s? s Let d = -2359 - -9571/4. Let x = -2017/60 + d. Suppose -134*g = 264*g + 137*g + 2675. Which is the closest to -0.1? (a) x (b) g (c) -6 a Let l be (-2 - 14)*(136/16)/17. Which is the nearest to -1/3? (a) 1/3 (b) -6 (c) 2/13 (d) l c Let u = -6.9 + 13.1. Let k = 2.2 - u. Let i be ((-114)/39 + 3)*2. What is the closest to i in 3/2, -3/5, k? -3/5 Let y = 89.4 - 1.4. Let w = -78 + y. What is the nearest to 1/4 in 1, -1/5, w? -1/5 Suppose 20*s = 28*s - 47*s - 1092. Which is the closest to -2? (a) -0.2 (b) s (c) -4/3 c Let r be 7/2*(-165)/385. Let o = 7.6 + -8. Let h = -0.1 + o. Which is the nearest to -0.1? (a) r (b) h (c) 1/6 c Suppose 103*m - 105*m = 10. Let d = -911 - -910.5. Let x = 2 + -1. Which is the nearest to m? (a) d (b) x (c) -0.4 a Let l = -3.59 + 3.2. Let h = l + -35.61. Let v = h + 36.1. Which is the nearest to v? (a) -1 (b) 2 (c) 4 a Let v be (126/(-840) - 6/10)/((-210)/(-80)). Let p = -1596/11 - -145. Let f = -1/39 - -9/13. Which is the nearest to f? (a) -3 (b) p (c) v b Let f = -1098 + 1103. Let g = 55 + -54.7. Which is the closest to 59? (a) -0.5 (b) f (c) g (d) 0.2 b Let r be 3/(-5) + 270/75. Let p = -342.7 + 327. Let u = p - -15.2. Which is the nearest to -3? (a) 2 (b) u (c) r b Let q = -8/1341 + -3991/5364. What is the nearest to -8 in -3, q, -0.2, -2/9? -3 Let r = -0.9185 - 1.6815. What is the closest to 7.4 in r, 2/11, -1? 2/11 Let k = -21 - -17. Suppose 6*g + 12 = 4*g. Let w be (-9 + (-33)/(-4))*k/g. Which is the closest to 1/4? (a) w (b) 5 (c) 2 a Let j be 44/14 + 2/(-14). Let k = -4347 + 4346.6. What is the closest to -3 in k, 1/4, j? k Let i = -397/23 + 2031/115. Let n = 1/8 + 5/24. What is the closest to 1 in n, 2/7, -1.2, i? i Let d = -55 - -39. Let y = d - -14. Let w be (24/28)/(100/70). Which is the nearest to -2? (a) w (b) 2 (c) y c Let v = 223 + -169. Let d = v + -53.6. What is the closest to -1 in -41, d, -3? d Let q = 24185 - 24216. Which is the closest to 4? (a) 1/4 (b) -5 (c) q (d) 4 d Let k = 28976/11 + -2634. Which is the nearest to 8/7? (a) -4 (b) k (c) -1 (d) -2/9 b Let t = 23 - 28. Let d be 1/4*t - 11/(-44). Let q = -65 - -133/2. Which is the closest to 3/4? (a) d (b) 2/3 (c) q b Let z = -3068.2 - -3068. Which is the nearest to -2/3? (a) z (b) 1/4 (c) -3 (d) 9 a Let j = 6799 + -6802. What is the closest to -44 in j, -6, 2/9? -6 Let d = -10200 + 10200.1. What is the nearest to -2/29 in 0.4, 1/5, d, 2/7? d Suppose -75*c - 62381 = -128*c. Let y = 5884/5 - c. Let h be 4/(-6)*(-6)/(-10). What is the nearest to h in -5, 3, y? y Let r = -450915 + 148801813/330. Let q = 1/66 + r. Let a = 0.01 - -0.29. What is the nearest to 1 in q, -4/7, a? a Let j = 4524 + -4524.1. What is the nearest to 0.02 in 9, 0.1, j, 3? 0.1 Let q = 218.1 + -217.6. Which is the nearest to 1/28? (a) q (b) 5 (c) 0.3 c Let d = -2.388 - -2.488. What is the nearest to 0.9 in -4, d, -2/3, -1? d Let w(b) = -b**3 + b**2 - 9*b + 13. Let p be w(2). Let c be 23/(-4) + 3 - -2. What is the nearest to 2 in c, p, -2/7? -2/7 Let f = -2.53 - -0.43. Let x = -1.1 - f. Let p = -6906.5 + 6907. What is the closest to 1/3 in 3, p, x? p Let q = -2686 - -2684. Which is the nearest to 0.1? (a) 4/9 (b) 0.1 (c) -2/3 (d) q b Suppose 0 - 16 = 4*s + 3*p, -4*s + p = -16. Which is the nearest to s? (a) 0.4 (b) -0.5 (c) 2 c Let b = 2371.5 - 2371. Let x = -0.1 - -3.1. Let p = -36 + 182/5. What is the nearest to
{ "pile_set_name": "DM Mathematics" }
ng order. -5/14, 1/5, 2 Put 29, 19, -2 in descending order. 29, 19, -2 Put 2, 0, -4, -8 in decreasing order. 2, 0, -4, -8 Put 52, -4, -3, 4 in decreasing order. 52, 4, -3, -4 Put -5, 13, 5, -2 in increasing order. -5, -2, 5, 13 Sort 14, -1, 35, 1, -5 in descending order. 35, 14, 1, -1, -5 Put -20, -1, -4, 1 in ascending order. -20, -4, -1, 1 Put 71, 8, 5, -3, 0 in decreasing order. 71, 8, 5, 0, -3 Sort -2, -3, 5, 3, 34 in descending order. 34, 5, 3, -2, -3 Put -10, -3, 10, 12 in decreasing order. 12, 10, -3, -10 Put 240, 4, -1 in descending order. 240, 4, -1 Put 5, 67, -2, -1, 3 in ascending order. -2, -1, 3, 5, 67 Sort 573/2, -0.3, 0.2 in decreasing order. 573/2, 0.2, -0.3 Put 13, -118, -0.3, -4/5 in increasing order. -118, -4/5, -0.3, 13 Sort 3, -45, -3, -1 in decreasing order. 3, -1, -3, -45 Sort -0.2, 28, -1/2. -1/2, -0.2, 28 Sort -2, 3, -1, -4, -137. -137, -4, -2, -1, 3 Put 30, -1, 4, -3 in increasing order. -3, -1, 4, 30 Sort -3, 0.11, 0.2, -0.4. -3, -0.4, 0.11, 0.2 Put 2/7, 3.8, -2/13, 0.3 in ascending order. -2/13, 2/7, 0.3, 3.8 Put -3, -0.8, -0.5, -5 in increasing order. -5, -3, -0.8, -0.5 Sort 1, -1, -4, 869 in descending order. 869, 1, -1, -4 Sort -4, 5, 2053. -4, 5, 2053 Put 0, -5, 76 in decreasing order. 76, 0, -5 Put -8, 1, 6 in ascending order. -8, 1, 6 Put 2/23, 2/11, 37 in decreasing order. 37, 2/11, 2/23 Put -3, 8, -430 in decreasing order. 8, -3, -430 Sort 4, -1/6, 2.1, -3, 0.2. -3, -1/6, 0.2, 2.1, 4 Sort -0.1, -0.49, 4. -0.49, -0.1, 4 Put -0.5, -2/5, 2/127, -2/13 in decreasing order. 2/127, -2/13, -2/5, -0.5 Put 2/7, -8/19, -0.2, 4 in decreasing order. 4, 2/7, -0.2, -8/19 Put -245, 1/5, -0.5, 0.5, 5 in increasing order. -245, -0.5, 1/5, 0.5, 5 Sort 1, 2, 0, -4 in decreasing order. 2, 1, 0, -4 Sort 2, -6, -3 in descending order. 2, -3, -6 Sort -3/35, 0.2, 0 in descending order. 0.2, 0, -3/35 Put 0.07, 0, 8 in ascending order. 0, 0.07, 8 Sort -3, 3, 2, -776, 4 in decreasing order. 4, 3, 2, -3, -776 Put 51, 0, 2, -5 in ascending order. -5, 0, 2, 51 Put 66, 2, 23 in decreasing order. 66, 23, 2 Sort -2, -3, -1, -6, 6 in ascending order. -6, -3, -2, -1, 6 Put -101, -5, 5 in descending order. 5, -5, -101 Sort -38, -7, -5 in descending order. -5, -7, -38 Sort -2, -1.5, 39. -2, -1.5, 39 Put 3/52, -0.5, 0 in increasing order. -0.5, 0, 3/52 Sort -7, -4, -3, -5, -1492 in decreasing order. -3, -4, -5, -7, -1492 Put -1, -28, 0.5, -2/3, -5 in ascending order. -28, -5, -1, -2/3, 0.5 Sort 8, -3, 4, -17, 5 in ascending order. -17, -3, 4, 5, 8 Put -3, -4, 3 in descending order. 3, -3, -4 Put 4, 15, -6, -5, 9 in ascending order. -6, -5, 4, 9, 15 Sort -1.2, 3/10, 5 in decreasing order. 5, 3/10, -1.2 Sort 31, -5, 5, -1 in decreasing order. 31, 5, -1, -5 Sort 0, -1, 1, 3, -12 in descending order. 3, 1, 0, -1, -12 Sort 1, 0.2, -136, -5 in descending order. 1, 0.2, -5, -136 Sort -5, -132, 11. -132, -5, 11 Sort 5, -2, 88 in increasing order. -2, 5, 88 Sort 16/3, -0.1, 1, 1/2 in descending order. 16/3, 1, 1/2, -0.1 Sort 28/9, -4, 1.7 in decreasing order. 28/9, 1.7, -4 Sort 4, 9, -2/11 in decreasing order. 9, 4, -2/11 Put 10, 1/4, 0.4 in decreasing order. 10, 0.4, 1/4 Put 10/11, -3, -3/7, 0.4 in descending order. 10/11, 0.4, -3/7, -3 Put -2, 4, -388, 2 in descending order. 4, 2, -2, -388 Sort -4, 3, 4, -3 in descending order. 4, 3, -3, -4 Sort -0.3, 2/3, 3, 6/7 in descending order. 3, 6/7, 2/3, -0.3 Sort 1/423, -2/17, -1/4. -1/4, -2/17, 1/423 Sort -5, -11, -2 in decreasing order. -2, -5, -11 Sort -17, 4, -15 in decreasing order. 4, -15, -17 Sort -0.1, 37, 21/8. -0.1, 21/8, 37 Put 0.09, 1, -1, -2 in ascending order. -2, -1, 0.09, 1 Sort 0.3, 1/68, -4, 0 in decreasing order. 0.3, 1/68, 0, -4 Sort 1/3, 3/4, 113, -5 in decreasing order. 113, 3/4, 1/3, -5 Sort -94, -1, -3, 4, -4 in descending order. 4, -1, -3, -4, -94 Sort -3, -33, -1, -5 in descending order. -1, -3, -5, -33 Sort -3, 2, 5, -7 in decreasing order. 5, 2, -3, -7 Put -9, -3, 53, 5 in ascending order. -9, -3, 5, 53 Sort -1, -3, -2, 3, -22 in ascending order. -22, -3, -2, -1, 3 Sort -2, -3, 0.68 in decreasing order. 0.68, -2, -3 Sort 0, 2/11, -0.6, -1/6, -17 in descending order. 2/11, 0, -1/6, -0.6, -17 Put 2, -31, -4 in decreasing order. 2, -4, -31 Put -2/7, -1, -752/3 in ascending order. -752/3, -1, -2/7 Put -2, -5, -363 in decreasing order. -2, -5, -363 Sort 0.6, 0.2, 2947, -1/6, 1 in ascending order. -1/6, 0.2, 0.6, 1, 2947 Put 1, 4, -5, -54 in increasing order. -54, -5, 1, 4 Sort -10, 4, -4 in decreasing order. 4, -4, -10 Put -232, -2, 2 in decreasing order. 2, -2, -232 Put -10/9, 3/7, 0.084, -2 in increasing order. -2, -10/9, 0.084, 3/7 Sort 4, 2, -148, -3 in descending order. 4, 2, -3, -148 Sort 9/8, 0.2, -0.5 in decreasing order. 9/8, 0.2, -0.5 Sort -4, 5, 2, -11, -3. -11, -4, -3, 2, 5 Sort 4, -5, -2, -3, 9. -5, -3, -2, 4, 9 Put 2, 37, 0.055 in ascending order. 0.055, 2, 37 Put -2/15, 1/45, 5, 1 in descending order. 5, 1, 1/45, -2/15 Put 169, 0, -5 in descending order. 169, 0, -5 Sort 19, -2, 0.3 in descending order. 19, 0.3, -2 Put 11, 3, 0.2, 0.4 in increasing order. 0.2, 0.4, 3, 11 Sort -567, 3, -2, -4 in descending order. 3, -2, -4, -567 Sort -11, -4, 4, -5 in ascending order. -11, -5, -4, 4 Sort 3, 8, 2/245 in decreasing order. 8, 3, 2/245 Put -2/5, -2/9, -2 in descending order. -2/9, -2/5, -2 Put -4, 2, -5969 in ascending order. -5969, -4, 2 Sort -20, 1/7, -108 in ascending order. -108, -20, 1/7 Sort 3/10, -0.4, -2328. -2328, -0.4, 3/10 Sort -4, 4, 5, -17, -5 in decreasing order. 5, 4, -4, -5, -17 Sort 1, 4, 6, 0, 8 in decreasing order. 8, 6, 4, 1, 0 Sort -9, -1, -3/7, -4. -9, -4, -1, -3/7 Put -3, -2/651, 4 in increasing order. -3, -2/651, 4 Put -2, 4, 5, 0 in decreasing order. 5, 4, 0, -2 Put -62, -7, -4 in ascending order. -62, -7, -4 Put 1, -4, 16 in ascending order. -4, 1, 16 Put 0, 3, 4 in descending order. 4, 3, 0 Sort 11, 1/3, -3, 0.2, 0.5 in descending order. 11, 0.5, 1/3, 0.2, -3 Sort -5, -34, 22 in ascending order. -34, -5, 22 Sort 2/5, -3/35, 0.3 in descending order. 2/5, 0.3, -3/35 Sort 3, 5/2, -0.201, -2/5 in descending order. 3, 5/2, -0.201, -2/5 Sort 1, -228, -5 in ascending order. -228, -5, 1 Put -1, 18, 0 in increasing order. -1, 0, 18 Put 4, -1, 1, 0.9, 16 in ascending order. -1, 0.9, 1, 4, 16 Sort 2, 0, -7, -1, 5. -7, -1, 0, 2, 5 Put 17, -3, -9 in decreasing order. 17, -3, -9 Sort 1, 22, -1, 5 in decreasing order. 22, 5, 1, -1 Sort -221, -4, 4. -221, -4, 4 Sort -5, 1, -74 in descending order. 1, -5, -74 Put 1, -7, 211 in decreasing order. 211, 1, -7 Put -15, -8, 5 in increasing order. -15, -8, 5 Sort 0, 8, 26, 5 in descending order. 26, 8, 5, 0 Sort -0.5, 0, -26, 3, 2 in increasing order. -26, -0.5, 0, 2, 3 Put -4, -0.3, -2, 2 in descending order. 2, -0.3, -2, -4 Put 16, 3, -2, 2 in ascending order. -2, 2, 3, 16 Put -5, 2, 4, -16, 8 in decreasing order. 8, 4, 2, -5, -16 Put -5, 0, 4, 1, -2 in decreasing order. 4, 1, 0, -2, -5 Put -427, -4/5, -1/2 in decreasing order. -1/2, -4/5, -427 Put -1.6, 4, 6 in increasing order. -1.6, 4, 6 Sort -867, 0.2, 4. -867, 0.2, 4 Sort 5, 0.1, 8, 4/9, 1/25 in descending order. 8, 5, 4/9, 0.1, 1/25 Sort -64, 0.4, -0.5, -1/3. -64, -0.5, -1/3, 0.4 Sort -2, 0.4, -8, 0.3 in increasing order. -8, -2, 0.3, 0.4 Put 64, -11, -3, 2 in descending order. 64, 2, -3, -11 Sort 0.5, 7/4, 7, -5 in increasing order. -5, 0.5, 7/4, 7 Sort 138, 4, -1 in increasing order. -1, 4, 138 Put 7, -23, -1 in decreasing order. 7, -1, -23 Put 7, -27, 2 in increasing order. -27, 2, 7 Put -0.6, 3, -3, -5, 1/7 in decreasing order. 3, 1/7, -0.6, -3, -5 Sort 0.3, -0.4, -62. -62, -0.4, 0.3 Sort -2, -4, 15 in descending order. 15, -2, -4 Sort -2/15, 5, 2/3, 66/17, -0.4 in increasing order. -0.4, -2/15, 2/3, 66/17, 5 Sort 141, 1, -3 in decreasing order. 141, 1, -3 Sort -1, 5, 2357. -1, 5, 2357 Put 2, 185, -2 in ascending order. -2, 2, 185 Sort 3, -0.1, -0.5, -4 in decreasing order. 3, -0.1, -0.5, -4 Sort -4, -3, -5, 4 in decreasing order. 4, -3, -4, -5 Sort 6, 1/2, -0.1, 2/39 in descending order. 6, 1/2, 2/39, -0.1 Put 1/5, -3, 41, 0.5 in increasing order. -3, 1/5, 0.5, 41 Sort -5, 2, 113, 5. -5, 2, 5, 113 Sort -25, 4, -5 in descending order. 4, -5, -25 Sort 0, 3, 1, 73, -3. -3, 0, 1, 3, 73 Put 1/6, 0.5, -4/3, -4/5 in ascending order. -4/3, -4/5, 1/6, 0.5 Put 5, -131
{ "pile_set_name": "DM Mathematics" }
34. What are the prime factors of b? 31, 61 Let v(k) = -k**3 - 8*k**2 + 23*k + 126. List the prime factors of v(-11). 2, 59 Let m(z) = -5*z - 19. Let l be (30/(-20))/((-2)/(-12)). What are the prime factors of m(l)? 2, 13 Let i be 1/((-68)/32 - -2). Let m(w) = -w**3 - 9*w**2 - 10*w - 2. List the prime factors of m(i). 2, 7 Suppose -173*k - 3968 = -175*k. List the prime factors of k. 2, 31 Let i be -2 + 0 - (-3 - 7 - -6). Suppose -2*m = -a - 10 - 4, 5*a - 14 = -4*m. Let h = m - i. What are the prime factors of h? 2 What are the prime factors of -30*(451/66)/((-1)/2)? 2, 5, 41 Suppose 4*c - 4084 = -4*k + 2*k, -3*c - 2*k = -3064. List the prime factors of c. 2, 3, 5, 17 Suppose -5 = -3*x + 19. Let v(t) = 6*t - 3 - 3*t + 15 - 2*t. List the prime factors of v(x). 2, 5 Let q(m) = -m**3 + 6*m**2 - 3*m - 33. Let v be q(7). Let p = v - -148. What are the prime factors of p? 3, 5 Let i(x) = x - 1. Let u be 5/((-10)/(-8)) - 1. Let d be i(u). List the prime factors of (2 - (d + -138))/2. 3, 23 Let n(o) = -323*o**3 + o - 1. Let s be n(1). Let w = -206 - s. Suppose g + w = 4*g. What are the prime factors of g? 3, 13 Let t(n) be the second derivative of 2*n**3/3 + 2*n**2 - 3*n. Let x be t(5). Suppose 2*s + s = x. What are the prime factors of s? 2 Let l(g) = -7*g + 27. Let s be l(-8). Let y = 141 - s. List the prime factors of y. 2, 29 Let g = 4445 + -115. What are the prime factors of g? 2, 5, 433 Let w = -67 - -139. List the prime factors of w. 2, 3 Let q(v) = -v**2 - 12*v - 17. Let f be q(-10). Suppose 15 + 513 = f*k. List the prime factors of k. 2, 11 Suppose 11394 = 23*z - 14*z. List the prime factors of z. 2, 3, 211 Suppose -9193 = -5*x + q - 2*q, 2*x - 3676 = -q. What are the prime factors of x? 3, 613 Let v(y) = -y**2 - 18*y - 49. What are the prime factors of v(-11)? 2, 7 Let h = 4 + -1. Suppose 101 = h*x - 19. Suppose 13*f = 17*f - x. List the prime factors of f. 2, 5 Let h be (-6)/(-4)*(8 - 4). Suppose -x = -h*x + 75. List the prime factors of x. 3, 5 Let q(g) be the third derivative of 13*g**4/24 - 3*g**3/2 + 11*g**2. Let i be q(4). Suppose d - 2*n = 63, -2*d + i = -d + 3*n. List the prime factors of d. 5, 11 Suppose -5*x = -2*f + 1912, -f + 21 = 4*x - 935. List the prime factors of 3/(30/f) + (-2)/(-5). 2, 3 Suppose x - 2*m + 15 = 3*m, -15 = -5*x - 5*m. What are the prime factors of (0 - 0/(-6)) + (74 - x)? 2, 37 Suppose 4*h + 324 = 4*b, 2*h - 160 = -3*b + 78. List the prime factors of b. 2, 5 Suppose 0 = -5*u + 5*a + 8980, 4*u + 3*a = 5*a + 7192. List the prime factors of u. 2, 3, 5 Suppose -n = -2*n - g + 29, -92 = -3*n + 2*g. Suppose 31*h - n*h - 168 = 0. What are the prime factors of h? 2, 3, 7 List the prime factors of (18/10)/(27/315). 3, 7 Suppose v = -0*v - x + 5, 0 = -3*v - 2*x + 11. Let z be (v + 9)/((-16)/(-104)). Suppose -z + 21 = -4*p. What are the prime factors of p? 11 Let j(c) = 11*c**2 - c - 6. Let k(d) = 2 + 4*d**2 + 1 - 2 - 5*d**2. Let g(u) = j(u) + 6*k(u). List the prime factors of g(1). 2 Let n = 1 + -1. Let j(v) = v + 28 + 58 + 8 - 9 - 12. List the prime factors of j(n). 73 Let z(q) = 68*q + 827. What are the prime factors of z(0)? 827 Let j(p) = -3*p**2 + p + 1. Let h be j(-2). Let v = 4 - h. Suppose -m - 1 = 0, -v = 4*f - 3*m - 164. What are the prime factors of f? 2, 3 Let x(u) = u**2 - 7*u - 5. Suppose 0 = -4*h + 18 + 14. Let t be x(h). List the prime factors of (2 - -4)*1 + t. 3 List the prime factors of (-499640)/(-100) + 8/(-20) + 0. 2, 1249 Let y = -52 - -56. Suppose -91 = y*a - 5*a. What are the prime factors of a? 7, 13 Let l = -270 + 466. Let s = l - 67. List the prime factors of s. 3, 43 Suppose 3*b - 6 = 3*f, 3*b = -5*f - 11 + 1. Suppose 4*d - 6 = -3*t, b = 4*t - 2*d + 3*d + 5. Let p(z) = -z**3 - 3*z - 3. What are the prime factors of p(t)? 11 Let z = 1117 - 800. List the prime factors of z. 317 Let m = -82 - -410. List the prime factors of m. 2, 41 Suppose -v + 141 = -3*v - 3*y, v - 2*y = -81. Suppose 30 = -n - 13. Let z = n - v. List the prime factors of z. 2 Let k = 141 + 318. What are the prime factors of k? 3, 17 Suppose 0 = 3*b - 2*j - 1403, 0 = -0*b - 2*b + 2*j + 938. What are the prime factors of b? 3, 5, 31 Let i = 534 - 144. List the prime factors of i. 2, 3, 5, 13 Let o(z) = -2*z + 24. Let g(l) = -2*l**2 + 12*l + 1. Let q be g(7). List the prime factors of o(q). 2, 5 Let a be -10*(-25)/(-2) + 4. Let h = 191 + a. List the prime factors of h. 2, 5, 7 Let i(d) be the second derivative of -d**4/4 - d**3/3 + 3*d**2/2 + 3*d. Let n be i(6). List the prime factors of n/(-27) + 2/(-6). 2 Let i be 21/14*8/3. Suppose -3*y - 29 = -3*j - 197, 0 = 3*y - i*j - 169. List the prime factors of y. 5, 11 Let o(v) be the first derivative of -1/3*v**3 + 3*v + 6*v**2 - 11. What are the prime factors of o(10)? 23 Let k be 39/(2 + 0 - 3). Suppose 52 = -i + 3*y, 5*i - y + 274 = -0*i. Let o = k - i. What are the prime factors of o? 2 Let m = -15 - -17. Suppose -j = 4*r + 1, -m*j - r - 2*r = -3. List the prime factors of (47 - 8/2) + j. 2, 23 Let i(o) = -8*o + 10. Let s be i(8). Let m = 95 + s. Let q = -15 + m. List the prime factors of q. 2, 13 Let x(p) = -p**3 - 8*p**2 + 4*p - 32. What are the prime factors of x(-13)? 761 Suppose -24*v = 22*v - 56810. List the prime factors of v. 5, 13, 19 Let b(s) = -s**3 - 3*s**2 + 3. Let p be b(-3). Let j be 0/(p/(12/8)). What are the prime factors of (j - 16)/(-2) + -1? 7 Let p(g) = -8*g + 417. List the prime factors of p(35). 137 Let m(h) be the third derivative of h**4/12 + h**3/3 + h**2. Let b be m(-2). Let i = b - -16. List the prime factors of i. 2, 7 Let n(i) = -i**3 + 13*i**2 - 10*i - 16. Let p = -23 - -35. What are the prime factors of n(p)? 2 Suppose -8*s + 463 = -1249. List the prime factors of s. 2, 107 Let y(u) = 22*u**2 + 30*u + 87. List the prime factors of y(-8). 5, 251 Let d(l) = 5*l**3 - 8*l**2 + 10*l - 17. List the prime factors of d(3). 2, 19 Let i = -118 + 40. Let d = i + 202. What are the prime factors of d? 2, 31 Suppose 0 = -5*x + 3*m + 10683, -5*x = -5*m - 7215 - 3470. List the prime factors of x. 2, 3, 89 Let k = -2569 + 3972. List the prime factors of k. 23, 61 Suppose -i + 924 = 4*n, -3*i = 2*i + 5*n - 4620. Suppose -4*b - 5*w + i = 0, 0 = b + b - 2*w - 444. List the prime factors of b. 2, 113 Let t = 6 - 18. Let z = t - -16. Suppose 35 - z = c - r, 2*r = 5*c - 149. What are the prime factors of c? 29 Let b = 46 + -43. Suppose t = -3*m + b*t + 310, 2*m = -4*t + 228. List the prime factors of m. 2, 53 Let h be (-544)/18 - 2/(-9). Let n(p) = 179*p - 10. Let i be n(-6). List the prime factors of (-6)/45 + i/h. 2, 3 Suppose 77 = 5*y - 2*y + g, 3*g = -3*y + 75. Let c = y - 32. List the prime factors of (35/(-3))/(c/18). 5, 7 Let v(o) = -14*o + 2. Let l(w) = -w**2 - 2*w + 12. Let h be l(3). List the prime factors of v(h). 2, 11 Let t = 57 - -8. Let j = t + -36. Suppose -2*u + 2*c = -3*c - 12, 2*c + j = 3*u. List the prime factors of u. 11 Suppose -c = 2*n - 9 - 1, 0 = 2*n - 4*c. Suppose -7*t + 2222 = n*t. List the prime factors of t. 2, 101 Let n be (28/(-21))/2*-3*1. Suppose 0 = 2*l + 5*c - 369 + 124, -4*l = n*c - 498. What are the prime factors of l? 5 Let o(r) = 225*r**2 + 43*r + 4. What are the prime factors of o(-4)? 2, 3, 11, 13 Let s be 8/4*5/2. Let z be (s/(-15))/((-2)/78). Suppose -2*x + z = -11. List the prime factors of x. 2, 3 Suppose 2*i + 5*c = 8 + 8, -3*i = 5*c - 14. Let f = i - -2. Suppose m + f*m = g - 1, 0 = -g - 4*m + 6. What are the prime factors of g? 2 Let n = -1916 - -4691. What are the prime factors of n? 3, 5, 37 Let q = -2 - -5. Suppose 0 = -q*a + 218 + 142. List the prime factors of a. 2, 3, 5 Let h(u) = 5*u**2 + 7*u - 98. What are the prime factors of h(-18)? 2, 349 Let c be (-14)/7 + 1 + 7. Suppose c*f + 4*p = f - 13, -4*p - 4 = -4*f. What are the prime factors of f/(2/96*-2)? 2, 3 Let f = 38 - 35. What are the prime factors of 141/f + 1 + -2 + 1? 47 Let m be -1 + (-134 - (-2 - 0/1)). Let f = 239 + m. List the prime factors of f. 2, 53 Suppose -3752 = -5*d - 4*h + 9253, 0 = d + 2*h - 2595. List the prime factors of d. 5, 521 Let f = -10 + 15. Let i = f - 12. Let n(r) = -r**2 - 12*r - 3. List the prime factors of n(i). 2 Suppose -y = -5*k + 3*y + 406, 2*k = 5*y + 159. What are the prime factors of k? 2, 41 Suppose x - 23 = 18. Let i =
{ "pile_set_name": "DM Mathematics" }
3 + 4*o**2 + o Let b(c) be the first derivative of c**4/4 + 2*c**3/3 - 4*c**2 + 6*c - 32. Let r(o) = 3*o**3 + 6*o**2 - 23*o + 17. What is 17*b(n) - 6*r(n)? -n**3 - 2*n**2 + 2*n Let k(n) = n + 5. Let r(l) = -1. What is k(g) + 4*r(g)? g + 1 Let a(n) = 3*n + 2. Let s(j) = -14*j - 10. Determine 11*a(k) + 2*s(k). 5*k + 2 Let q(k) = -4*k - 1. Let g(a) = 4*a + 1. Give -4*g(d) - 3*q(d). -4*d - 1 Let c(q) = -15*q**2 + 13*q - 2. Let l(y) = 7*y**2 - 6*y + 5. Let j(m) = -7*m**2 + 6*m - 6. Let w(o) = 4*j(o) + 5*l(o). Determine 6*c(h) + 13*w(h). h**2 + 1 Let k(o) = o + 5. Let i(y) = -5 + 3 + 1. Calculate 4*i(a) + k(a). a + 1 Let n(m) = 21*m + 14. Let a(v) = 4*v + 3. Calculate -14*a(h) + 3*n(h). 7*h Let h(i) = -5*i - 10. Let v(y) = -4*y - 9. Let k(s) = 2*s**2 + 6*s - 14. Let o be k(-4). Calculate o*h(q) + 7*v(q). 2*q - 3 Let b(r) = -2*r**3 + 19*r**2 - 5. Let z(v) = 3*v**3 - 29*v**2 + 7. Give -7*b(x) - 5*z(x). -x**3 + 12*x**2 Let l(f) = 2*f**2 + f + 8. Let h(p) = 2*p**2 + p + 7. Calculate -4*h(r) + 3*l(r). -2*r**2 - r - 4 Let b(x) = -32*x + 15. Let y(i) = 8*i - 4. Calculate 6*b(p) + 22*y(p). -16*p + 2 Let x(q) = -5*q**3 + 4*q**2 - 6*q - 7. Let j(t) = 8 + 6*t**2 - t**2 - 16 - 6*t**3 + 0 - 7*t. Determine 6*j(u) - 7*x(u). -u**3 + 2*u**2 + 1 Let g(b) = b**3 - 3*b**2 - 3*b + 3. Let d(c) be the second derivative of -2*c**5/5 + 13*c**4/6 + 13*c**3/3 - 13*c**2 + 8*c. What is 6*d(h) + 52*g(h)? 4*h**3 Let j(t) = -5*t**3 - 6*t**2 - 6*t. Suppose 2*n = -y - 9, 1 = -n - 4. Let g be y/(-7) - 41/7. Let f(c) = -4*c**3 - 5*c**2 - 5*c. Give g*f(q) + 5*j(q). -q**3 Let d(z) = 9*z**3 + 2*z**2 - 3*z. Let j(v) = 9*v**3 + 3*v**2 - 4*v. Determine -3*d(k) + 2*j(k). -9*k**3 + k Let b(a) = 7*a**2 + 6*a - 5. Let w(j) = 2*j**3 - 2*j**2 - 3*j + 3. Let n be w(2). Let s(l) = -l**2 - l + 1. Determine n*s(r) + b(r). 2*r**2 + r Let k be ((-3)/1)/(2/(-2)). Let a(h) = -k - 2*h + 0*h + 0*h. Let m(y) = 1. Give -a(t) - 2*m(t). 2*t + 1 Let x(i) = -29*i**3 - 1 - 2*i - 2 + 26*i**3 + 3*i**2. Let y(m) = -m**2 + m + 1. Determine -x(j) - 3*y(j). 3*j**3 - j Let m(v) = 5*v**2 - 8*v - 8. Suppose 0*h + 18 = 3*h. Let x(a) be the second derivative of -a**4/2 + 3*a**3/2 + 9*a**2/2 - 39*a. Determine h*x(k) + 7*m(k). -k**2 - 2*k - 2 Let j(c) = c - 1. Let t(i) = -i + 2. Let d be (-20)/12 + 1/(-3). Determine d*j(b) - t(b). -b Suppose 12*y - 10*y - 6 = 0. Let n(o) = 3*o**3 - 3*o**2 - o + 2. Let i(w) = -3*w**3 + 4*w**2 + 2*w - 2. What is y*i(k) + 4*n(k)? 3*k**3 + 2*k + 2 Let b(x) = -7*x**2 + 8*x + 8. Let q(d) = 2*d**2 - 3*d - 3. What is 3*b(o) + 8*q(o)? -5*o**2 Let j(i) = 3*i**3 - 2*i + 3. Let o(d) = -3*d**3 + 2*d - 4. What is 4*j(x) + 3*o(x)? 3*x**3 - 2*x Let o(k) = k**2 - k - 1. Let d(i) = i - 1. Let q(f) = 2*f**2 - 9*f + 2. Let w(x) = -5*d(x) - q(x). Determine 4*o(p) + w(p). 2*p**2 - 1 Let k(v) = 6*v**3 + v + 2. Let d(r) = -11*r**3 - 11*r + 9*r + 0 - 3. Give 4*d(t) + 7*k(t). -2*t**3 - t + 2 Let j(z) = 2*z**2 + 7. Let l(m) = -m**2 - 5. Calculate -5*j(b) - 7*l(b). -3*b**2 Let z(m) = m + 3. Let p be z(5). Let w = 14 - 9. Let c(r) = 6*r**2 - 6. Let q(j) = -4*j**2 + 4. Give p*q(b) + w*c(b). -2*b**2 + 2 Let d(u) = -9*u**2 - 7*u - 9. Let w(c) = 5*c**2 + 4*c + 5. Give -3*d(f) - 5*w(f). 2*f**2 + f + 2 Let s(p) = 3*p - 1. Let u(o) = 4*o - 1. Calculate -5*s(g) + 4*u(g). g + 1 Let i(z) be the third derivative of z**6/30 - z**5/30 - z**3/3 - 7*z**2. Let s(y) = -5*y**3 + 3*y**2 + 3. Calculate -3*i(d) - 2*s(d). -2*d**3 Let b(m) = 9*m + 17. Let r(p) = 3*p + 6. Calculate -3*b(h) + 8*r(h). -3*h - 3 Let f = 10 - 6. Let i(a) = 2 + 3 + f - 2 + 9*a. Let d(m) = 13*m + 10. What is -5*d(l) + 7*i(l)? -2*l - 1 Let u(r) = -2*r - 1. Let b be (-26)/(-143) - (-79)/(-11). Let j(x) = -2 + 3 - 3*x - 3. Let f be 2*(-2)/4*-4. What is b*u(d) + f*j(d)? 2*d - 1 Let c(n) = -n**3 + n**2 - 1. Let x(j) = -22*j**3 - 5*j**2 + 4. Determine 4*c(w) + x(w). -26*w**3 - w**2 Let x(t) = -3*t + 6. Let n(g) = -g + 3. Let j(l) = l**2 + 5. Let p be j(0). Give p*n(h) - 2*x(h). h + 3 Let n(i) be the second derivative of i**4/6 - i**3/3 + i**2 + i. Suppose -4*q + 5 = -7. Let z(p) = 2*p**2 - 3*p + 3. Give q*n(v) - 2*z(v). 2*v**2 Let n(k) = -2*k - 4. Let y be 3 + 1*3/(-3). Let z be 4/(y + -4) + 3. Let u(p) = -1. Let i be -3 + -1 + 0/(-2). Calculate i*u(g) + z*n(g). -2*g Let r(b) = -21*b - 7. Let x(g) = 10*g + 3. Determine 3*r(l) + 7*x(l). 7*l Let s(o) = -27*o**2 - 81*o. Let h(g) = g. Give -81*h(t) - s(t). 27*t**2 Suppose 63 = 7*m + 21. Suppose 0 = -5*k + m - 26. Let w = -5 - 6. Let f(p) = 6*p + 8. Let s(g) = -2*g - 3. Give k*f(u) + w*s(u). -2*u + 1 Let m(z) = z**2. Let j(c) = 3*c**3 + 4*c**2 - 7*c + 2. Let a(u) = 8*u**3 + 11*u**2 - 20*u + 6. Let p(i) = 6*a(i) - 17*j(i). Determine -2*m(b) - p(b). 3*b**3 + b - 2 Let a(w) = -w**3 + 4*w**2 + 4*w - 5. Let r(m) = m**3 - m**2 - m + 1. Let s(h) = -h**3 - 7*h**2 - 4*h + 8. Let g be s(-6). What is g*r(l) - a(l)? -3*l**3 + 1 Let u(w) be the second derivative of -w**4/3 + 7*w**3/6 + 3*w**2/2 - 5*w. Let q(s) = -s**2 + s + 1. Give 5*q(o) - u(o). -o**2 - 2*o + 2 Let k(m) = 7*m + 3. Let q(b) = 4*b + 2. What is 3*k(l) - 5*q(l)? l - 1 Let c(k) = 1. Let x(w) = -6*w + 3. Let n(t) = 6*c(t) - x(t). Let v(a) = -a - 1. Determine -n(u) - 5*v(u). -u + 2 Let w(m) = -7*m + 4*m - 2*m + 15*m**2 - 7*m + 12. Let s(n) be the first derivative of -n**3/3 + n**2/2 - n - 2. What is 12*s(i) + w(i)? 3*i**2 Let o(y) = -301*y + 35. Let i(r) = -50*r + 6. Determine 35*i(m) - 6*o(m). 56*m Let d(w) = 4*w**2 - 8*w - 17. Let h(r) = -1 - 2 + 9 - 2 - r**2 + 2*r. What is -2*d(x) - 9*h(x)? x**2 - 2*x - 2 Let q(i) = 4*i + 1. Let m(x) = -x**2 + 17*x + 4. Suppose u - 4 = -5, 5*u = 3*l - 11. What is l*m(k) - 9*q(k)? -2*k**2 - 2*k - 1 Let c = -3 + 5. Let v(k) = 2*k + 13. Let z(y) = y + 6. Let a(r) = 6*v(r) - 13*z(r). Let i(j) = 2*j + 1. Give c*i(q) + 5*a(q). -q + 2 Suppose 0 = -q, 4*r + q = -0*q + 12. Let h(u) = -r*u - 8 + 10*u + 1. Let y(b) be the second derivative of -b**3/2 + 3*b**2/2 - b. Calculate 4*h(t) + 9*y(t). t - 1 Let q be 4/6 - 56/(-6). Suppose 5*h = -q - 5. Let v(z) = -2*z - 5. Let i(s) = -10*s - 26. Determine h*i(u) + 16*v(u). -2*u - 2 Let y(i) = 244 - 244 - i + 2*i. Let w(m) = -m. Give -3*w(g) - y(g). 2*g Let a(i) = -i**3 - i. Let o(l) = 4*l**3 + l**2 + 5*l. Let n = -13 - -16. Let q = n + -2. Calculate q*o(c) + 5*a(c). -c**3 + c**2 Let b(g) = -g**3 + 7*g**2 - 3*g. Let j(n) = -6*n**2 + 2 + n**2 + n**3 - 2 + 2*n. Determine -5*b(v) - 7*j(v). -2*v**3 + v Let t(m) = -3*m**2 - 4*m - 1. Let w(o) be the third derivative of -o**5/60 - o**4/24 - o**3/6 + 5*o**2. Give -t(c) + 4*w(c). -c**2 - 3 Let z = 7 - 10. Let y = z + -3. Let o(m) = -m**3 - 2*m - 2. Let a(h) = -7*h**3 - 13*h - 13. Calculate y*a(s) + 39*o(s). 3*s**3 Let c(u) = 2*u**2 + 4*u + 4. Let v(d) be the second derivative of 5*d**4/12 + 3*d**3/2 + 9*d**2/2 - 3*d. Give -9*c(s) + 4*v(s). 2*s**2 Let j(f) = f**3 + 2*f**2 - 3*f + 2. Let h be j(-3). Let n(i) = i**2 + 13*i**h - 17*i + 7 + 11 - 1. Let k(p) = 5*p**2 - 6*p + 6. What is 17*k(l) - 6*n(l)? l**2 Let f(k) = k - 2. Let j(h) = -h**2 + 8*h + 5. Let t = -14 + 23. Let m be j(t). Let b(l) = 1. Give m*b(y) - f(y). -y - 2 Let k(x) = 11*x**2 + 11*x + 15. Let b(g) = -5*g**2 - 5*g - 7. Give -9*b(z) - 4*k(z). z**2 + z + 3 Let s(q) = -6*q + 2. Let t = 36 + -35. Let h(k) = -k. What is t*s(m) - 5*h(m)? -m + 2 Let w(j) = -j**2 - j + 1. Let t(u) = -3*u**2 + 6*u + 4. Let x(n) = t(n) + 2*w(n). Let b(y) = -4*y**2 + 3*y + 5. What is -6*b(r) + 5*x(r)? -r**2 + 2*r Let m(a) = 0*a + 4*a**2 - 4*a + 9*a**2 + 7 - 1. Let c(h) = -4*h**2 + h - 2. Give -7*c(d) - 2*m(d). 2*d**2 + d + 2 Let w(l) = l**3 - 4*l + 4. Suppose -2*f + 7*f - 5 = -u, 4*u = -4*f + 20. Let y(z) = 7*z**3 - 4*z**3 - 2*z**3 + u - 5*z. What is 6*w(h) - 5*y(h)? h**3 + h - 1 Let x(z) be the first derivative of -z**2/2 + 3*z - 1. Let p(d) = d - 1. Calculate -2*p(q) - x(q). -q - 1 Let v(s) = s**2 - 5*s + 1. Let g be v(6). Let z(r) = 9*r**3 - 2*r - 5. Let h(l) = -4*l**3 + l + 2. Give g*h(w) + 3*z(w). -w**3 + w - 1 Let g(h) = -6*h**2 + 3*h - 3. Let q(f) be the first derivative of -7*f**3/3 + 2*f**2 - 4*f - 13. Give 6*g(l) - 5*q(l). -l**2 - 2*l + 2 Let d(j) = -j**2 + j - 3. Let l(b) = 2*b**2 - b + 6. Let o(u) = 5*d(u) + 2*l(u). Let t(w) = w**2 - 4*w + 4. Determine 4*o(c) + 3*t(c). -c**2 Let b(m) = m**3 - m**2 - m + 1. Let y(z) = -10*z
{ "pile_set_name": "DM Mathematics" }
tor of 109/108680 and -41/286? 108680 What is the least common multiple of 11529 and 33? 126819 What is the least common multiple of 33 and 13992? 13992 Find the common denominator of 7/954914 and 85/4. 1909828 Calculate the common denominator of -20/1967901 and 19/1362393. 17711109 Find the common denominator of -137/498 and 11/819. 135954 Find the common denominator of 43/520 and 113/120. 1560 What is the common denominator of 65/10528 and 25/7896? 31584 Calculate the common denominator of 103/31556 and 95/20286. 284004 Find the common denominator of 103/5940 and 67/594. 5940 What is the lowest common multiple of 2528 and 272392? 1089568 Calculate the least common multiple of 280 and 27888. 139440 What is the lowest common multiple of 5 and 238977? 1194885 What is the lowest common multiple of 4947905 and 1? 4947905 What is the common denominator of 59/164950 and 89/428870? 2144350 Find the common denominator of 111/2710 and 95/24932. 124660 Calculate the least common multiple of 5336 and 472236. 944472 Calculate the least common multiple of 15600 and 96. 31200 What is the common denominator of 13/46953 and -17/4653? 516483 Calculate the common denominator of -97/329382 and 119/36. 658764 What is the least common multiple of 15 and 323565? 323565 Find the common denominator of 109/8570 and 59/37708. 188540 Calculate the lowest common multiple of 186 and 88. 8184 What is the smallest common multiple of 4950 and 495? 4950 Calculate the lowest common multiple of 18 and 27578. 248202 Calculate the least common multiple of 11856 and 126464. 379392 Calculate the common denominator of -51/28055 and -86/2715. 84165 Calculate the common denominator of -67/504 and -37/2772. 5544 What is the least common multiple of 30072 and 7518? 30072 What is the common denominator of 101/26 and -41/207764? 2700932 Find the common denominator of 71/2904 and 113/874104. 874104 Calculate the least common multiple of 319 and 11. 319 What is the common denominator of 19/168550 and 3/400? 1348400 What is the lowest common multiple of 16758 and 1044? 971964 What is the smallest common multiple of 14 and 13280? 92960 Calculate the common denominator of -125/1248 and 99/872. 136032 Calculate the least common multiple of 172983 and 7935. 864915 Calculate the lowest common multiple of 186175 and 320. 11915200 What is the smallest common multiple of 224 and 24080? 48160 Calculate the smallest common multiple of 2832 and 23600. 70800 Calculate the least common multiple of 780 and 38031. 9888060 What is the lowest common multiple of 11670 and 4? 23340 What is the common denominator of -69/16918 and 87/26146? 287606 Calculate the least common multiple of 69584 and 95678. 765424 What is the lowest common multiple of 1324 and 36741? 146964 Calculate the smallest common multiple of 99592 and 4. 99592 What is the smallest common multiple of 61316 and 40? 613160 What is the least common multiple of 66924 and 293436? 3814668 What is the lowest common multiple of 180 and 1169130? 7014780 What is the common denominator of 55/7449 and 97/390? 74490 What is the common denominator of 79/1824 and 175/15048? 60192 Calculate the common denominator of 103/42 and -50/138159. 276318 What is the least common multiple of 1554 and 148000? 3108000 What is the common denominator of 167/93330 and 5/8296? 373320 What is the common denominator of -59/814625 and 82/488775? 2443875 Calculate the common denominator of 41/1834 and 33/55282. 386974 Calculate the lowest common multiple of 14271 and 24. 114168 Calculate the lowest common multiple of 78195 and 41704. 625560 What is the smallest common multiple of 18696 and 1476? 56088 Calculate the smallest common multiple of 84 and 84028. 252084 Calculate the lowest common multiple of 2352 and 614460. 2457840 Calculate the common denominator of 49/43720 and -17/52464. 262320 Calculate the smallest common multiple of 342 and 168036. 504108 Find the common denominator of -51/116 and -5/86748. 2515692 What is the common denominator of 173/672 and -137/298200? 1192800 Find the common denominator of 133/11442 and -49/6. 11442 What is the common denominator of 73/21 and 95/13818? 13818 What is the least common multiple of 80 and 1170848? 5854240 Calculate the smallest common multiple of 42 and 16. 336 What is the common denominator of -37/960 and 87/160? 960 Find the common denominator of 93/2744 and 117/93296. 93296 Calculate the least common multiple of 148300 and 8898. 444900 Calculate the least common multiple of 138968 and 4176. 2501424 What is the common denominator of 41/372 and 41/62? 372 Calculate the least common multiple of 4 and 14261. 57044 Calculate the least common multiple of 9434 and 530. 47170 Calculate the smallest common multiple of 38962 and 2530. 194810 Find the common denominator of 163/442200 and -53/51590. 3095400 Find the common denominator of 10/981 and -95/275334. 826002 Calculate the common denominator of 29/4710 and -11/43960. 131880 What is the smallest common multiple of 6804 and 60102? 360612 Calculate the smallest common multiple of 24816 and 5687. 272976 What is the lowest common multiple of 144 and 4867? 700848 What is the common denominator of -143/512898 and -5/9? 1538694 Calculate the common denominator of -127/23052 and 139/69156. 69156 What is the lowest common multiple of 13117 and 130? 131170 Calculate the least common multiple of 3325 and 1253050. 8771350 What is the smallest common multiple of 9641 and 16172? 501332 Find the common denominator of -37/586848 and -93/8. 586848 Calculate the common denominator of -57/2 and -31/1198984. 1198984 Find the common denominator of -31/720 and 85/2238. 268560 Calculate the common denominator of -59/1125 and 29/925. 41625 Find the common denominator of 43/19 and -37/357160. 6786040 Calculate the smallest common multiple of 31552 and 102. 94656 What is the lowest common multiple of 52713 and 99? 579843 What is the smallest common multiple of 5 and 403032? 2015160 What is the common denominator of -43/518 and -21/670? 173530 Find the common denominator of 50/583 and 26/2703. 29733 What is the common denominator of -37/5 and -119/1962? 9810 What is the least common multiple of 9840 and 480? 19680 Calculate the lowest common multiple of 47145 and 2. 94290 What is the common denominator of -83/18 and 13/28044? 28044 Calculate the least common multiple of 414 and 63. 2898 Calculate the common denominator of -89/350 and -13/5075. 10150 Find the common denominator of -19/202401 and 42/247379. 2226411 What is the common denominator of 43/370000 and 86/69375? 1110000 What is the lowest common multiple of 60 and 1220? 3660 What is the smallest common multiple of 175 and 14250? 99750 What is the common denominator of -69/1420 and -3/200? 14200 What is the least common multiple of 997776 and 5904? 997776 Find the common denominator of 58/13475 and -39/18865. 94325 What is the common denominator of 11/180028 and -149/18? 1620252 What is the lowest common multiple of 12067 and 2194? 24134 Calculate the smallest common multiple of 371 and 39. 14469 Find the common denominator of 101/130 and -99/475982. 2379910 Calculate the least common multiple of 81 and 7767. 69903 Find the common denominator of -7/117 and 42/12493. 112437 What is the lowest common multiple of 2000 and 40? 2000 What is the least common multiple of 60984 and 3276? 792792 Find the common denominator of 14/8769 and -77/370. 87690 Find the common denominator of 55/9882 and 113/644526. 5800734 What is the lowest common multiple of 27269 and 11? 27269 What is the lowest common multiple of 10 and 6939? 69390 What is the least common multiple of 879 and 150? 43950 Find the common denominator of -34/26445 and -181/3690. 158670 Calculate the lowest common multiple of 26 and 7990. 103870 What is the common denominator of 139/9870 and -49/5? 9870 What is the lowest common multiple of 2840 and 108? 76680 What is the common denominator of 139/3080 and 59/27440? 301840 What is the common denominator of -35/17358 and -79/15780? 173580 Calculate the common denominator of 49/2006700 and -17/80. 8026800 Calculate the common denominator of 143/26556 and -85/48. 106224 What is the least common multiple of 3927 and 66? 7854 What is the lowest commo
{ "pile_set_name": "DM Mathematics" }
Let u = 441 - 438.256. Let s = 2.752 + -0.052. Let p = s - u. Round p to two dps. -0.04 Let g = -1916 + 1915.99007. Let f = g - -0.01. What is f rounded to 4 decimal places? 0.0001 Let f = 40 - 37.7. Let p = f + -2.30096. What is p rounded to four dps? -0.001 Let r(m) = -76503*m + 6. Let i be r(2). What is i rounded to the nearest ten thousand? -150000 Suppose s = p + 6*s - 8453627, -5*p + 42268265 = -s. Suppose p = 3*j - 5046348. What is j rounded to the nearest 1000000? 5000000 Let b = 502 - 501.99558. Round b to 4 dps. 0.0044 Suppose z + 21 = 4*y, -19 = -0*z + z - 3*y. Round z to the nearest integer. -13 Let d(p) = -122498*p + 1 - 1 - 8. Let h be d(4). Round h to the nearest 100000. -500000 Let b = 0.13 + 0.57. Let j = 0.712 - b. Round j to 3 decimal places. 0.012 Let z be 1*(-8)/((-32)/(-820380)). Let v = -142095 - z. What is v rounded to the nearest 10000? 60000 Let m = -18.083 + 18.6. What is m rounded to two dps? 0.52 Let g = -2576 - -2559.944. Let b = -16 - g. Let v = -0.486 + b. What is v rounded to 1 dp? -0.4 Let c be 4/(-10) + (-62343532)/(-5). Let u = -5268706 + c. What is u rounded to the nearest 1000000? 7000000 Suppose 0 = p + p + 12. Let t(i) = 8166*i - 4. Let z be t(p). Round z to the nearest ten thousand. -50000 Suppose -3*k = -14 + 5. Let f = k + -1. Suppose 24000 = -f*d - d. What is d rounded to the nearest 10000? -10000 Let r = -7 + 4. Let l be (284/r)/((-2)/518169). Suppose 4*t = -l - 10273334. Round t to the nearest one million. -9000000 Suppose 5*o - 21490635 + 2330422 = 3*s, -19160233 = -5*o - 2*s. Let x = 5732045 - o. What is x rounded to the nearest 1000000? 2000000 Let v = 136682.810038 - 136654.81. Let m = 65 - 93. Let b = v + m. Round b to 5 decimal places. 0.00004 Suppose 32 = 4*n + 4*b, b + 3*b - 17 = -n. Let g be (-4)/10 + (-283)/n. Round g to the nearest 10. -60 Let r be 23 + -3*1 + 2. Let a = r + -12. Let t be a/15 + 8404/(-6). Round t to the nearest one thousand. -1000 Let p = 5603655.000084 + -5603643. Let r = p - 12. Round r to five decimal places. 0.00008 Suppose -2*g = -g + 8200000. What is g rounded to the nearest one million? -8000000 Let u = 4 - 6. Let y be ((-10)/25)/(u/(-200)). Let a be 66999994/(-10) + 24/y. Round a to the nearest one million. -7000000 Let o be 40/(-120) + 1799999/3*-1. Round o to the nearest 1000000. -1000000 Let j = 0.34 - 0.3400031. What is j rounded to seven dps? -0.0000031 Let n be 11 + (-6)/(0 - -2). Let s be 1776006/24 + (-2)/n. What is s rounded to the nearest ten thousand? 70000 Let r = -0.033 + -0.927. Let p = r + 0.9639. Round p to three decimal places. 0.004 Let x = -40271.84 + 38697. Let i = x - -1601. Let z = i - 27. What is z rounded to 1 decimal place? -0.8 Let g = -2407 + 6953. Suppose -5*i + g = -4454. Round i to the nearest one thousand. 2000 Let c = 779755227 - 779755265.0000067. Let i = c + 38. Round i to 6 dps. -0.000007 Let d be 0/(1*6/(-3)). Suppose 29 = -d*w + w. Round w to the nearest ten. 30 Let s = 3 + -2.56. Let p = -24336 + 24336.43946. Let d = s - p. Round d to 4 decimal places. 0.0005 Let a = -18.48 - 5.82. Round a to the nearest integer. -24 Let h = 46105273.6123828 - 46105288. Let z = 0.0868272 + h. Let a = 14.3 + z. Round a to four decimal places. -0.0008 Let o be (76200/(-18))/(1/(-30)). Round o to the nearest one hundred thousand. 100000 Let o be ((-21)/6)/(-7)*-100. What is o rounded to the nearest ten? -50 Let c = 97.91 + -97.95177. Let d = c + -6.95223. Let s = -7 - d. What is s rounded to three dps? -0.006 Let d = -0.1795 + 0.1178. Round d to three decimal places. -0.062 Let l = 18981.99042446 - 18732.866725. Let c = l - 249.1007. Let d = c - 0.023. What is d rounded to 7 decimal places? -0.0000005 Let i(y) = 3001*y**3 - 4*y**2 + 2*y + 3. Let v be i(3). Round v to the nearest ten thousand. 80000 Let g = -95833 - -207622. Suppose 3*p = -3*t - 3798 + g, 3 = -p. Round t to the nearest 10000. 40000 Let p = -237.4 - -261. Let z = -4.6 + p. Let l = 18.9909 - z. Round l to three decimal places. -0.009 Let c = -90 - -100.4. Let r = c - 0.4. Let o = r + -10.000022. What is o rounded to five dps? -0.00002 Let l(k) = -k**2 + 9*k - 14. Let r be l(7). Suppose r = -2*j - 1891 - 709. Round j to the nearest one hundred. -1300 Let h = 37 - 104. What is h rounded to the nearest 10? -70 Suppose 4*r = -z - 98, -4*r - 15 = -r. What is z rounded to the nearest 10? -80 Let b be -3*(14/(-6) + 3). Round b to the nearest 10. 0 Let w = -53 - -52.12. Let g = w - 0.02. Let s = -0.900013 - g. Round s to 5 decimal places. -0.00001 Suppose w - 7*x + 3*x + 11 = 0, 5*x + 86 = -4*w. What is w rounded to the nearest integer? -19 Let b = 109 + -109.000146. Round b to five decimal places. -0.00015 Suppose 2 - 6 = l + 5*z, 4 = -2*z. Let t(v) = 28243*v - 8. Let j be t(l). Suppose 49450 - j = 4*h. What is h rounded to the nearest 100000? 0 Let t = 10.2 + -9. What is t rounded to 0 decimal places? 1 Let a = -4.03 + 0.03. Let m = a - -4.35. What is m rounded to 1 decimal place? 0.4 Let l = -32292925 + 45992925. What is l rounded to the nearest 1000000? 14000000 Let b be (-30)/(-5)*(-2)/(-4). Suppose b*i - i = 10616. Suppose i - 58 = 5*p. What is p rounded to the nearest one hundred? 1100 Suppose 4*f - 1375920 = f. Suppose -2*y - 1441340 = 5*z + f, -2*y - 1899996 = z. Round y to the nearest one hundred thousand. -1000000 Let f = -26 - -18. Let t = -21 - f. Let b = t - -13.45. What is b rounded to one decimal place? 0.5 Let j = -1.831 + 1.95. Round j to 2 decimal places. 0.12 Let i = -22627.812 - -22515. Let a = i - -113. Round a to 2 dps. 0.19 Let h = 0.016 - 5.986. Let i = -6 - h. Let w = i - -3.63. Round w to the nearest integer. 4 Let q = 0 + -2. Let v be (-42009)/6 - 3/q. Round v to the nearest one thousand. -7000 Let t = 12.2 - 2. What is t rounded to 0 dps? 10 Let a = 11.99999951 - 12. What is a rounded to six decimal places? 0 Let f = 1290.1 - 1199. Let d = f - 7.1. Let v = d - 84.057. Round v to 2 dps. -0.06 Let q be (4/(-6))/((-2)/12). Suppose -2 = -3*p + q*p. What is p rounded to zero dps? -2 Let c(q) = 6*q + 6. Let a be c(6). Suppose 591 = -5*j - 2*w + a, 0 = -5*j + w - 558. Let h = 79 - j. Round h to the nearest one hundred. 200 Let u = 36 - 36.17. What is u rounded to one decimal place? -0.2 Suppose 4*l - 21 = -1. Suppose -h + 2*u + u + 14699997 = 0, 0 = -l*h - 5*u + 73500005. What is h rounded to the nearest 1000000? 15000000 Let q = -8.5 + 8.49927. Round q to four dps. -0.0007 Let j = 15 + -17. Let s be 1 + -3600001*3 - j. Round s to the nearest 1000000. -11000000 Let k = -84 + 83.99108. Round k to 3 dps. -0.009 Let c(u) = -35*u + 16. Let q be c(-4). What is q rounded to the nearest one hundred? 200 Let d be -2 + 2 - 1*-1. Let z(t) = -6700000*t. Let k be z(d). Round k to the nearest 1000000. -7000000 Suppose -b + 14 = 3*b - j, j - 1 = -b. Suppose 0 = 2*s - b*s + 3*t + 4, -4*s = -2*t + 14. Let f be 750*((-10)/3)/s. Round f to the nearest one thousand. 1000 Let j be (325500063/(-15))/7 + (-6)/(-10). Round j to the nearest 1000000. -3000000 Let i = -223.242 - -224. Round i to 1 decimal place. 0.8 Let u = 460.7 - 441. Let f = u + -19.69999881. What is f rounded to 7 dps? 0.0000012 Let t = 160709359.99952 - 160731176. Let y = t - -21810. Let z = -6 - y. What is z rounded to four decimal places? 0.0005 Let b = -761495125 + 479198922. Let x = 282296214.8999947 + b. Let s = -11.9 + x. What is s rounded to six dps? -0.000005 Let v = -109 - -108.887. Let w = v - -0.11406. What is w rounded to 4 dps? 0.0011 Let v = -2.35103 + 2.35. Round v to four dps. -0.001 Let a = -13.91 + 14. Let k = -0.090002 + a. Round k to five decimal places. 0 Suppose -5*s + 4*c = 5, 0 = -4*s + 5*c - 4. Let u = s + 6. Suppose -u*k = -2304 - 96. Round k to the nearest one hundred. 500 Let i = 5 - 4.76. Let v = i - -9.76. Let m = v - 10.00000042. What is m rounded to 7 dps? -0.0000004 Let b = 8.006 - 8. Round b to 3 dps. 0.006 Let v = 7.2 - 7.2000156. What is v rounded to 6 decimal places? -0.000016 Let t = -41.66 - -42. Let u = t - 2.64. Round u to 0 dps. -2 Suppose -51 = 5*m - 2*u - 15, 3*m + 5*u + 34 = 0. Let g(p) = -51563*p**2 - 5*p - 8. Let c be g(m). Round c to the nearest one million. -3000000 Let y(l) = -133*l + 12. Let v be y(-6). What is v rounded to the nearest one hundred? 800 Let n = 230.3
{ "pile_set_name": "DM Mathematics" }
))*(y/y**3*(y*y**(3/7)*y)/y*y*y)/(y*y**(-1/5)*y**9) assuming y is positive. y**(-3358/385) Simplify (g**(2/51)*g**(1/55)*g*g)/(g**(-2/33)*g**(-9/7)) assuming g is positive. g**(66832/19635) Simplify (((z**(-2)/z)/z)/(z**(-4/7)*z)*z**(-4/9)*z*z/(z**(2/7)*z))/(z**(-2)*z/(z*z**(-5))*(z**(-1/7)/z)/(z*z**(1/4)*z*z)) assuming z is positive. z**(-697/252) Simplify ((m**(1/9)/m**(-8)*m**(-3/8)*m**(-1/5))**(3/2))**(-7) assuming m is positive. m**(-18991/240) Simplify m*m**2*m/((m/(m**(-4)/m))/m)*m/((m*m/m**(-2/9))/m)*m*m*m*m*((m/(m**(-3)*m)*m)/m)/m*m*(m**(-3/5)*m/(m**(-4)/m))**14 assuming m is positive. m**(3662/45) Simplify (((g/(g*g**2*g))**(-2/11)/((g*g**8)/(g**(-1/7)/g*g)))**(-2))**(5/2) assuming g is positive. g**(3310/77) Simplify ((d*d*(d/d**(-2))/d*d)**(-14/3))**50/(((d**8*d)/d)/(d*d/d**0))**(-23) assuming d is positive. d**(-3086/3) Simplify ((p/p**(2/3)*p)**(1/54)*p**(4/15)/((p**(-13)/p)/p))**27 assuming p is positive. p**(6193/15) Simplify ((x*x/x**7*x)/x**(-1/3)*x**(-2/9)/x*x**(-8)*x)/(((x**(-6)/x)/(x**(2/9)/x))/(x*(x*x*x/(x*x**(1/2)*x))/x*x**(-2/5)*x)) assuming x is positive. x**(-137/30) Simplify v/(v*v*(v/v**(2/5)*v)/v*v)*v**(5/3)*v*(v/v**4)/v**5*(v*v*(v*v**(2/5))/v*v)**31/((v*v**(-1/2))/v**(-3)) assuming v is positive. v**(2819/30) Simplify (n*(n**2*n)/n*n)**(2/33)/(n/n**0)**(-6)*((n/(n*n**(1/2)*n*n))/n**(-6/7))/(n**(-1))**(-2/13) assuming n is positive. n**(26701/6006) Simplify ((d**(-3/2)/d**(-2/13))/(d**(-6/11)*d**(-1)))/((d**(-2/7))**15/(d*d*((d/(d*d/(d**0*d)))/d)/d)**(3/2)) assuming d is positive. d**(8979/2002) Simplify l*l**(-2/5)*l*l**(2/5)*((l*l**(-4/7))/l*l)/(l*(l*l**(2/11))/l)*(l**3*l/(l/l**(-3/11)*l))/(l**0/(l/(((l**1/l*l)/l)/l))) assuming l is positive. l**(383/77) Simplify (((w**(-7)/w)/w)**(-2/139)*(w/(w/((w**(-9/8)*w*w)/w)))**(-2/59))**(-1/7) assuming w is positive. w**(-4387/229628) Simplify (((t/(t**(-2/3)*t*t))/t)**(6/19)*t/(t/(t/t**(-3/2)*t))*t**(-11))**37 assuming t is positive. t**(-11137/38) Simplify ((s**0)**(1/5)/((s**(-1/4)/s)/(s*s*s*s*s/(s/s**(5/2)))))**(-14) assuming s is positive. s**(-217/2) Simplify ((((m/(m*(m/m**5*m)/m*m)*m)**29)**(-9/2))**(-1/47))**34 assuming m is positive. m**(17748/47) Simplify (k/((k/(k/(k/(k**(-18)*k))))/k))/k*k**28*k*k**(2/3)*k*k**(4/21) assuming k is positive. k**(97/7) Simplify (((z**(-1)/(z*z*z**(1/5)/z))**(1/13))**(-17))**(-10) assuming z is positive. z**(-374/13) Simplify ((s*s**(1/2))**24*s**(-1/2)/(s/s**(1/5)))/(s**(4/7)*(s/s**(-7)*s)/s)**(-4/11) assuming s is positive. s**(29119/770) Simplify (x*x/x**(3/10)*x)**32/((((x/(x/(x*x/((x/(x/x**(-5)))/x))))/x)/x)/x**(2/31)) assuming x is positive. x**(12472/155) Simplify ((k**(-7)/k**(-5/2))/(k**(1/7)*k**(-3/2)/k))/((k**(-4/7)*k**(-4)*k)/((k/k**(1/2))/k)**(-18)) assuming k is positive. k**(73/7) Simplify ((q/((q/q**24)/q))/(q/(q*q/(q**29*q))))/(q*q*q**(7/3)*q/(q/q**(-22)*q)) assuming q is positive. q**(44/3) Simplify (r**18*r**(2/19)*r*(r*r**(-1/2)*r*r)**(-33))**(-1/28) assuming r is positive. r**(2409/1064) Simplify (u**(1/14)/u*u**(-3/22)*u**20/((u/((u/(u/((u**(-5/7)*u)/u)))/u))/u))**(-2/27) assuming u is positive. u**(-884/693) Simplify ((a**(2/9))**4/(a**6*a/(a**3/a)))/(((a**(-1/5)/a)/a**(-6))/(a*((a**(-1/7)/a)/a)/a*a*a**3*a)) assuming a is positive. a**(-1907/315) Simplify ((v*v/(v/(v*v**1*v*v)))/v)**(3/4)/((v*v**0*v)/((v*v**(-3))/v))*v**(2/13)*v*v/(v**6/v)*v*v**(-3)*v*v*v**(-5) assuming v is positive. v**(-128/13) Simplify (a**3/(a*a**(-2)*a*a))/(a**(4/3)/(a/(a*a**(-1/6))))*a**(-1/6)/(a*a*a*a**(-6))*a**3*a**(-3) assuming a is positive. a**(11/3) Simplify ((l/(l*l/l**(-2/35)))/(l*l**(1/24)))/(l*(l/(l*l*(l/(l*l**(10/7)))/l*l))/l*l*l**8) assuming l is positive. l**(-9683/840) Simplify ((((a**0)**(-4/3))**18)**(-2/33))**(1/5) assuming a is positive. 1 Simplify (b**(2/9)/(b**(-20)/b))/(b/(b/(b/(b**(2/13)/b*b))))**(-12/17) assuming b is positive. b**(43399/1989) Simplify (i*i*i/(i/i**(2/3))*i*i/(i**2*i))**(-13)/((i*i*i/i**(-9))/(i*((i*i/i**9)/i)/i))**38 assuming i is positive. i**(-2345/3) Simplify (s/s**1*s/((s*s/s**(-20))/s)*s*s*s**28*(s*s*s/(s**(-4/7)*s))/s)**11 assuming s is positive. s**(891/7) Simplify (s**37/(s**(1/55)/s))/(s**(1/2)/((((s/(s*s/s**(-40/9)))/s)/s)/s)) assuming s is positive. s**(28747/990) Simplify (y**1/y*y)**1/(y**(2/7)*y**(-7))*(((y/((y/(y*(y*y/(y/y**(-3/7)))/y))/y))/y)**2)**(7/4) assuming y is positive. y**(68/7) Simplify (i**5/(i*i**(-3/8)/i))/(i**(3/8)*i**(-7))*(i*(i*i**1*i*i)/i)**(14/5)/(((i**(-1)/i)/i)/(i**(-6)/i)) assuming i is positive. i**(96/5) Simplify ((a/a**(-2/7))/a**(4/9))**14/((a**(-1))**3*(a**(2/7)*a)/a*a/((a**4/a)/a)) assuming a is positive. a**(976/63) Simplify (a**(1/7)*a*a**(-1/15)*a*a*(a/a**(2/3))**(-5/2))/((a*a**(-3)/a)/a**(1/10)*((a/(a**(2/5)*a))/a*a*a)**(13/7)) assuming a is positive. a**(148/35) Simplify ((a**3*a**(-1)*((a*((a/a**9)/a)/a*a)/a)/a*(a*a/(a/(a/(a**(-2/3)/a))))/a)**13)**(-2/7) assuming a is positive. a**(416/21) Simplify ((h**0)**(-17/3)*(h*(h**(-1/2)*h)/h)**(2/37))/(h**5*h**0*(h**(1/2))**(-14)) assuming h is positive. h**(75/37) Simplify ((a*a**(-23)*a)**(2/55)/(a**37/((a**(-46)*a)/a)))**(-3/49) assuming a is positive. a**(13821/2695) Simplify (g**(-2/3))**2/(g**(-2/7)/(g**(-4)/g))*((g**5*g)/(g/g**(1/2)))/(g**0)**(-2/5) assuming g is positive. g**(-23/42) Simplify (a/(a*a*a**(-1)/a*a)*a/(a*a*(a**(-13)/a*a)/a*a*a*a))**45*((a**(-2/3)*a)/a)**30*a**(2/9)*a**(5/6) assuming a is positive. a**(7759/18) Simplify ((h**(1/4))**(-6))**(2/9)/((h**(1/3))**15)**22 assuming h is positive. h**(-331/3) Simplify (t**1*t*t*t)**(4/35)/(t**(-6)/(t/(t*t/t**(2/7))*t))*((t*(t*t/t**(-2)*t)/t*t)/t)**(-9/7)*(t**(-2/7))**(4/7) assuming t is positive. t**(37/245) Simplify (((k*k/(k/(k**4*k)))**(3/4)*k/(k/((k*k**3*k)/k*k))*k/k**(-5/4))**16)**(1/34) assuming k is positive. k**(94/17) Simplify (r*r**(7/5)*r**13*r*((r/(r*(r/((r*r*(r*(r/r**(-3))/r)/r)/r))/r))/r)**(-31))**37 assuming r is positive. r**(-14171/5) Simplify ((x/x**(1/11))/x**5)**41*(x**11/(x*x**(-12)*x))**(-13) assuming x is positive. x**(-4848/11) Simplify ((l/l**8)/l**(-1/3))**14*(l**1)**38/((l*l/l**(-1))/l*(l*l**(-1/4))/l) assuming l is positive. l**(-685/12) Simplify ((y/(y*y/y**1))/y*y**(7/4)*y/y**(-5)*y/y**14)**11 assuming y is positive. y**(-275/4) Simplify ((x*x**(3/5)*x**(-10/13)/x)/(x**(-3/17)*x**(21/4)*x))**36 assuming x is positive. x**(-248337/1105) Simplify (o/o**6*o**(-1/4))**(-2/29)/(((o*(o**(-1/3)*o*o)/o)/o**(-2/3))/((o*o**(-1/2))/o)**(1/22)) assuming o is positive. o**(-7633/3828) Simplify (((j/(((j*j*j**(-1))/j*j)/j))/j)**27)**(1/16)*(j*j*j**(-1))**(1/2)/((j/(j*j**(-1/2)*j))/j)**(-2/13) assuming j is positive. j**(7/26) Simplify (g/(g*g**2)*g*g**(-6)/g)/(g*g**5*g*g**(1/7))*((g/g**(-2/3))/(g/(g**(-4)/g)*g))/(g*g*g**3*g/g**(1/7)*g*g) assuming g is positive. g**(-85/3) Simplify (v**0/(v/(v**(-2/3)*v))*v**(-3/2)/v*v/v**(-1/3))/((v/v**(2/7))**48)**(19/4) assuming v is positive. v**(-6917/42) Simplify ((q*(q*q/q**(2/7))/q*q*q**5)/(((q/q**(-3/5))/q)/(((q*q**8)/q)/q)))/(((q/(q*q*q/(q/q**(8/3)*q)*q))/q)/q*q/(q/q**(-1/7)))**(-10) assuming q is positive. q**(-4618/105) Simplify ((z/z**0)**(9/7))**(1/43)/(z**(-7)/(z*z*z/(z*z**(3/7)/z)*z))**41 assuming z is positive. z**(130471/301) Simplify ((((c/(c**(-37)*c*c))/c*c)/c)/((c/(c/((c*c/(c*c/(c*c**(-39))))/c)*c))/c))/(c**35/(c**(10/9)/c)) assuming c is positive. c**(370/9) Simplify (n*n/n**0*n*n**3/n*n**(6/7)/(n/(n*n*n**(-1/8)*n*n)*n))/((n/n**1*n)**(-18)/((((n*n*n**6)/n*n)/n)/(n**4*n))) assuming n is positive. n**(1553/56) Simplify (((p*p**(1/4)*p)/p*p)**(16/5)*p**(1/7)/p**(2/7))/(((p/p**(3/10))/p)/(p/(p**8/p)))**(-9/4) assuming p is positive. p**(5567/280) Simplify ((j*j*j**14)/(j/j**(3/4)))**(-12)/((j**(-1)*j)**(3/14))**(3/8) assuming j is positive. j**(-189) Simplify (h/h**1)**11/(h**(2/7)/((h*h*h/h**(-1)*h*h)/h))*(h**(-1/14)/h)/h**(-3)*(h*h**(-1/2))**(-1/20) assuming h is positive. h**(1853/280) Simplify (o*o/o**(-1/48))/o**(6/19)*(o*o*o*(o*o**(9/7))/o)**(-16) assuming o is positive. o**(-426875/6384) Simplify (m*(((m*m**(18/13)/m)/m)/m)/m*m*m*m)**(-2/31)*(m*m**(-37)/m)/m*m/(m/((m/(m*m**(1/8)/m))/m))*m assuming m is positive. m**(-3877/104) Simplify (c/(c*c**(-1/21)*c*c*c*c)*c**9)**(-14/9)/((c**(3/2)/(c/(c**(-1)*c)))/(c**(2/5))**47) assuming c is positive. c**(2821/270) Simpli
{ "pile_set_name": "DM Mathematics" }
1000. -1091000 Round -0.309453 to two decimal places. -0.31 Round -64.462 to the nearest integer. -64 What is 0.51442 rounded to the nearest integer? 1 Round -0.005061213 to four dps. -0.0051 What is 546251 rounded to the nearest 100000? 500000 Round -8948150 to the nearest one million. -9000000 What is -0.000804952 rounded to four dps? -0.0008 What is 0.7856447 rounded to two dps? 0.79 Round 0.0014875 to three dps. 0.001 Round 0.1984716 to 2 dps. 0.2 What is -0.0000003999195 rounded to seven decimal places? -0.0000004 Round -514.695 to the nearest ten. -510 Round -0.00045614715 to 7 dps. -0.0004561 What is 7044.626 rounded to the nearest 100? 7000 Round -0.0000003857 to six decimal places. 0 Round -0.025558982 to 3 decimal places. -0.026 What is -0.000128570511 rounded to five dps? -0.00013 Round 30567.5 to the nearest one hundred. 30600 What is -0.0000031496261 rounded to seven dps? -0.0000031 Round -0.00000050728718 to seven dps. -0.0000005 Round -0.002689921 to four decimal places. -0.0027 Round 14.03272 to one dp. 14 Round 0.35319174 to 4 decimal places. 0.3532 What is 0.000001954738 rounded to 7 decimal places? 0.000002 Round 420384280 to the nearest one million. 420000000 Round -4.07613 to two decimal places. -4.08 What is -0.30203957 rounded to three dps? -0.302 What is 191.5775 rounded to the nearest 10? 190 Round 4223090 to the nearest one hundred thousand. 4200000 What is -197.373 rounded to zero decimal places? -197 Round -0.21241095 to 4 dps. -0.2124 Round 7307 to the nearest 1000. 7000 Round 614.0003 to the nearest ten. 610 What is 7109.92 rounded to the nearest one thousand? 7000 Round -229250000 to the nearest 1000000. -229000000 What is -0.000048518 rounded to 6 dps? -0.000049 Round 0.000103535 to six dps. 0.000104 What is 85976.72 rounded to the nearest one thousand? 86000 Round 5724842.2 to the nearest one hundred thousand. 5700000 What is 0.0001539447 rounded to 4 dps? 0.0002 What is -735505 rounded to the nearest 1000? -736000 What is -0.0036738704 rounded to six dps? -0.003674 Round -17.39144 to the nearest integer. -17 What is -0.000172261 rounded to 5 decimal places? -0.00017 Round 38.94802 to the nearest integer. 39 What is 3340.536 rounded to the nearest ten? 3340 What is -686161.7 rounded to the nearest one hundred thousand? -700000 What is 0.5708464 rounded to four dps? 0.5708 Round -620348730 to the nearest one million. -620000000 Round -0.000011410204 to 6 decimal places. -0.000011 Round -0.0000216336 to 4 decimal places. 0 What is 2964730 rounded to the nearest ten thousand? 2960000 Round -22.387645 to one decimal place. -22.4 What is -156.5757 rounded to zero decimal places? -157 What is -0.0001598251 rounded to six decimal places? -0.00016 Round 82833700 to the nearest 100000. 82800000 What is -0.000008972028 rounded to 6 dps? -0.000009 What is 8.323604 rounded to 3 decimal places? 8.324 Round 0.00001606186 to six decimal places. 0.000016 What is 0.002891334 rounded to five dps? 0.00289 What is -358.6312 rounded to the nearest ten? -360 What is -0.0000403266 rounded to seven decimal places? -0.0000403 What is 381464 rounded to the nearest 100000? 400000 Round 1374971.4 to the nearest 10000. 1370000 Round 91.2557 to zero decimal places. 91 Round 1.131494 to 2 dps. 1.13 What is -56747.27 rounded to the nearest 100? -56700 Round -3201.628 to zero decimal places. -3202 What is 561741500 rounded to the nearest 1000000? 562000000 What is 61.66898 rounded to 1 decimal place? 61.7 What is -381079800 rounded to the nearest 1000000? -381000000 What is 18.3193 rounded to 1 dp? 18.3 What is -0.00059827363 rounded to 6 decimal places? -0.000598 Round 0.1012022 to four dps. 0.1012 Round 0.003306109 to 3 dps. 0.003 Round -32681.34 to the nearest one hundred. -32700 Round -0.0000003193483 to 7 dps. -0.0000003 What is -1.70503 rounded to 2 decimal places? -1.71 Round 842.703 to the nearest one hundred. 800 What is -79.01 rounded to the nearest 100? -100 What is 1240240 rounded to the nearest one thousand? 1240000 What is -0.0000871063 rounded to five dps? -0.00009 Round -23.85776 to 1 decimal place. -23.9 What is 1.285663 rounded to 3 decimal places? 1.286 What is -796.42554 rounded to one dp? -796.4 What is -2793371300 rounded to the nearest 1000000? -2793000000 What is -391010.5 rounded to the nearest one hundred thousand? -400000 Round 0.00118739 to four dps. 0.0012 Round -12345320 to the nearest ten thousand. -12350000 Round -0.00007120086 to seven dps. -0.0000712 Round -9.87575 to 2 dps. -9.88 What is -10036745 rounded to the nearest ten thousand? -10040000 Round -130.282 to the nearest 10. -130 What is 0.02998778 rounded to 3 decimal places? 0.03 Round 5375851 to the nearest one hundred thousand. 5400000 What is -32286.9 rounded to the nearest 1000? -32000 What is 0.02031159 rounded to 5 dps? 0.02031 What is -0.00001948725 rounded to 6 dps? -0.000019 Round 0.03073754 to three decimal places. 0.031 Round 0.004356354 to three decimal places. 0.004 What is 0.012655209 rounded to 4 decimal places? 0.0127 Round -0.89061 to 2 dps. -0.89 Round -657.03774 to the nearest 10. -660 Round -1795.823 to the nearest integer. -1796 What is 5453.35 rounded to the nearest ten thousand? 10000 Round -177.5069 to the nearest one hundred. -200 What is 1.9396618 rounded to two dps? 1.94 What is -50280.79 rounded to the nearest 10000? -50000 Round -3850.926 to the nearest one thousand. -4000 Round 449.742 to the nearest 10. 450 Round -0.0013576 to three dps. -0.001 What is 0.00001174594 rounded to 6 dps? 0.000012 What is 0.1014505 rounded to 3 decimal places? 0.101 What is 7.273571 rounded to 3 decimal places? 7.274 What is 3603990 rounded to the nearest 1000000? 4000000 What is 0.028458 rounded to three decimal places? 0.028 What is -965.894 rounded to the nearest 10? -970 Round -0.0362851 to four decimal places. -0.0363 What is 5833230 rounded to the nearest 100000? 5800000 Round 1321287900 to the nearest one million. 1321000000 Round -0.051786051 to 5 decimal places. -0.05179 What is 0.00000108947 rounded to 6 dps? 0.000001 What is 0.37249 rounded to 1 dp? 0.4 What is -33680.97 rounded to the nearest 10000? -30000 What is -254.542 rounded to the nearest ten? -250 Round 1973780 to the nearest one hundred thousand. 2000000 Round 6.3612559 to three dps. 6.361 Round -0.00000439659 to 7 dps. -0.0000044 Round 0.0620739 to three decimal places. 0.062 What is -63932.846 rounded to the nearest 100? -63900 Round 12705315000 to the nearest one million. 12705000000 What is -544338.4 rounded to the nearest 100? -544300 What is -159416000 rounded to the nearest 1000000? -159000000 Round -27.78965 to 2 dps. -27.79 Round 0.02848413 to 2 dps. 0.03 What is 0.15366842 rounded to 3 dps? 0.154 Round -0.000002103301 to 7 decimal places. -0.0000021 What is -2400903100 rounded to the nearest one million? -2401000000 Round 3697.236 to the nearest 100. 3700 Round 1436366 to the nearest one hundred thousand. 1400000 Round 1427600 to the nearest one million. 1000000 Round 7317.359 to the nearest one thousand. 7000 Round 145999 to the nearest ten thousand. 150000 Round 0.02729356 to 3 decimal places. 0.027 Round 0.000848514 to 4 decimal places. 0.0008 Round 20731.87 to the nearest one hundred. 20700 What is -0.2539532 rounded to three decimal places? -0.254 What is -162142.4 rounded to the nearest one thousand? -162000 What is -0.01206348 rounded to five decimal places? -0.01206 Round 599.172 to 0 decimal places. 599 Round 0.0723344 to four dps. 0.0723 Round -0.7141231 to one decimal place. -0.7 Round 0.000397804 to seven dps. 0.0003978 Round -1.41086 to 2 dps. -1.41 Round -0.57249 to one dp. -0.6 What is 1568.9401 rounded to the nearest one hundred? 1600 What is 45127.33 rounded to the nearest ten? 45130 What is 0.103728 rounded to 2 decimal places? 0.1 Round 796919.3 to the nearest one thousand. 797000 What is 0.1007049 rounded to three decimal places? 0.101 What is -21.26527 rounded to two decimal places? -21.27 What is -505029000 rounded to the nearest 1000000? -505000000 Round -0.1313468 to 2 decimal places. -0.13 What is 778045.5 rounded to the nearest ten thousand? 780000 Round -0.001903302 to five dps. -0.0019 What is 1487773 rounded to the nearest one milli
{ "pile_set_name": "DM Mathematics" }
hat are the prime factors of q(-1)? 283 Suppose -3*o + 1056 = 3*i, 0*o - 368 = -o + 3*i. What are the prime factors of o? 2, 89 Let v(s) = s**2 - 5*s - 2. Suppose w - 7 = -0. Let l be v(w). List the prime factors of 0 + (-4)/(-6)*l. 2 Suppose -9*g + 3858 = -5*g - m, -g + 2*m = -961. What are the prime factors of g? 5, 193 Let w(g) = 4*g**2 - 3*g - g**2 - g**2 + 7 - 3*g**2. Let j be w(-5). Let k(b) = b**3 + 6*b**2 - 3*b. What are the prime factors of k(j)? 2, 3 Let d be 0 + 2 - (-40)/10. Suppose y - 5 - 4 = 0. Suppose -2*p - y + 39 = -4*i, p = -i + d. What are the prime factors of p? 3 Suppose g + 12 = 2. Let o(q) = q**2 + 3*q + 1. Let t be o(g). Let y = t + -16. What are the prime factors of y? 5, 11 Suppose 3*r + 6*a - 4*a - 2900 = 0, 3*r - a - 2888 = 0. What are the prime factors of r? 2, 241 Let o = 584 + -316. What are the prime factors of o? 2, 67 Let g(v) = 73*v**2 + 6*v + 27. What are the prime factors of g(-5)? 2, 911 Suppose 53 - 8 = 3*o. What are the prime factors of (-12)/o*(-1220)/8? 2, 61 Suppose 3*v = 4*n - 9441, -4*n + 11570 = -2*v + 2132. What are the prime factors of n? 2, 3, 131 Suppose -5*n + 0*h = h - 2, -5*n = -5*h + 10. Suppose -i + n*i = 0. Suppose 4*o - 2*q + 0*q - 146 = 0, 3*o + 5*q - 116 = i. List the prime factors of o. 37 Let f(z) = 25*z**2 + 12*z - 185. What are the prime factors of f(15)? 2, 5, 281 Let q = 2837 - 1960. What are the prime factors of q? 877 List the prime factors of (-56)/(-70)*9325/10. 2, 373 Let w(s) = -26*s + 1. Let r be (-13)/5 + (-30)/(-50). Let t be w(r). Suppose -t = -2*n - 3. List the prime factors of n. 5 Let n be 4/(-6)*9/(-6). Let o(i) = -i**2 - 3*i**2 + 3*i**2 - n + 12*i. List the prime factors of o(9). 2, 13 Let z(i) = 40*i**2 + 15*i + 29. List the prime factors of z(-5). 2, 3, 53 Suppose -17 = 3*p - 2*w + 11, -4*p + w - 34 = 0. Let i = p + 3. List the prime factors of (2 - 4 - i) + 3. 2, 3 Suppose -24 = 13*a - 12*a. Let n = a + 37. Let z = n + -3. List the prime factors of z. 2, 5 Suppose -13*w + 20 = -3*w. Suppose w*d + d = 3*k + 183, -4*k + 128 = 2*d. List the prime factors of d. 2, 31 Let v be (5 + -1)*(-71)/(-2). Suppose 508 = 5*z - v. What are the prime factors of z? 2, 5, 13 What are the prime factors of 162/(-189)*(-742)/3? 2, 53 Let b be (-790)/(-110) - (-4)/(-22). Suppose b*x - 240 = 4*x. What are the prime factors of x? 2, 5 Suppose -2*r = 2*r - 4*x - 24, 0 = -4*x + 20. Let s be (-5 + 1)/((-2)/r). What are the prime factors of (10/2)/(11/s)? 2, 5 Let y be 6 + 1/((-2)/2). Suppose 5 = y*l, -l = h + l - 207. What are the prime factors of h? 5, 41 Suppose -10 - 5 = 5*g. List the prime factors of (-8)/12 + (-104)/g. 2, 17 Let m be (-40)/50 - (-1058)/10. Let t = -31 + m. List the prime factors of t. 2, 37 Let o = 48 + -32. Let s = 86 - o. What are the prime factors of s? 2, 5, 7 List the prime factors of (-30695)/(-14) + 1/2 + -2. 7, 313 Suppose -445 = 7*u - 12*u. Let c = -45 + u. What are the prime factors of c? 2, 11 Let i(k) = 2 + 0 + 34*k - 5. Suppose 0 = -8*a - 2*a + 20. What are the prime factors of i(a)? 5, 13 Let u be (-516)/(-7) + 2*(-1)/(-7). Let w = 3 + u. What are the prime factors of w? 7, 11 Suppose 6 = -2*s, -s = 2*t + 751 + 914. Let u = -562 - t. List the prime factors of u. 269 Let m(l) = l**3 + l**2 + 35*l - 33. What are the prime factors of m(11)? 2, 11, 41 Let i(a) = a**3 + 7*a**2 - 13*a + 150. What are the prime factors of i(13)? 3361 Let k be 18 - -4 - (0 + 5). Suppose -k*h = -281 - 178. List the prime factors of h. 3 Let w = -12 + 4. Let t = 0 - w. List the prime factors of (6/t)/(1/36). 3 Let s(k) = k**2 - k - 2. Let h(d) = -d. Let z be h(8). Let a be (-12)/(-48) - (-50)/z. List the prime factors of s(a). 2, 5 Let i = -814 + 1993. What are the prime factors of i? 3, 131 Let h(g) = -g**3 + 9*g**2 + 8*g + 20. Let n be h(10). Let s(d) = -d + 2. Let l be s(0). Suppose n = l*v - 126 + 16. What are the prime factors of v? 5, 11 Suppose -j = 12 - 2. Let s be (-3)/(((-9)/j)/(-9)). Let r = s + -18. What are the prime factors of r? 2, 3 Suppose 83*w - 25602 = 80*w. What are the prime factors of ((0 - -1)/2)/(17/w)? 251 Let l = -1 + 1. Let a(b) = 3*b**2 + 1. Let r be a(-1). Suppose r*q - 88 = -l*q. List the prime factors of q. 2, 11 Let x(d) = -2*d + 3. List the prime factors of x(-8). 19 Let z = 4 - 2. Let h be 27/(-33) + z/(-11). List the prime factors of h*((0 - -2) + -16). 2, 7 Let s(r) = 116*r - 150. What are the prime factors of s(11)? 2, 563 Let y(l) = 6*l - 2. Let j be y(1). Suppose 2*h = 2, -2*k + 67 = -3*h + j*h. Suppose 3*z - k - 21 = 0. What are the prime factors of z? 2, 3 Let n(v) = 1004*v**2 - 7*v + 3. What are the prime factors of n(1)? 2, 5 What are the prime factors of 823550/375 - 5/(75/2)? 2, 3, 61 Let a(o) = -o**3 + 16*o**2 - 13*o + 2. Suppose 5*s - 354 = -4*l, -3*l - 2*s + 268 = 3*s. Suppose 4*c - l + 26 = 0. What are the prime factors of a(c)? 2 Let r(f) = -f**2 + 4*f. Let q be r(2). Suppose q*i - 25 = -i. Suppose 10*h - 180 = i*h. List the prime factors of h. 2, 3 Suppose h = 8*h - 5495. What are the prime factors of h? 5, 157 Let g(q) = -q**3 - 15*q**2 - 3*q + 20. Let w be g(-14). Let n = -60 - w. List the prime factors of n. 2, 37 Suppose 2*c = -5*w + 23 + 4, -c - 18 = -2*w. Let k = w + -43. List the prime factors of (-2 + k)/(-2) - 2. 17 List the prime factors of (1894/(-6))/((-520)/39 + 13). 947 Let m(f) = 2*f**2 - 29*f - 39. Let z be m(16). Suppose z*n = -0*n + 1188. List the prime factors of n. 2, 3, 11 Let s(w) = 13*w**3 - w. Let b be s(1). Let d = b - -4. Suppose 4*v - 56 = d. What are the prime factors of v? 2, 3 Suppose 69540 = 21*h - 2238. List the prime factors of h. 2, 1709 Let r(b) be the third derivative of -b**5/60 - b**4/12 - b**3/2 + 5*b**2. Let q be r(-6). Let v = 1 - q. List the prime factors of v. 2, 7 Let p(u) = 12*u - 19. Let a be p(7). Let h = -2 + a. What are the prime factors of h? 3, 7 Let u(o) be the first derivative of o**4/4 - o**3/3 + 2*o**2 + o - 4. List the prime factors of u(3). 31 Let j be (-2 - -7)/((-5)/(-35)). Suppose -5*q - j = -5*c - q, -2*q = 0. What are the prime factors of (-119)/(-2) + c/(-14)? 59 Let m(w) be the third derivative of 49*w**4/24 - w**3/6 - 16*w**2. List the prime factors of m(2). 97 Let a(f) = -f + 11. Let j be a(-10). Let d = j - -9. Suppose 2*o + 6 = d. List the prime factors of o. 2, 3 Let h = 2325 + -128. List the prime factors of h. 13 Suppose 3*n - 6932 = 6943. List the prime factors of n. 5, 37 Let f(j) = 4*j**2 - 31*j + 30. What are the prime factors of f(12)? 2, 3, 13 Let v(r) = -26*r**3 - 2*r**2 + 7*r + 17. List the prime factors of v(-4). 1621 Let b = 12 + -1. Let j = b - -30. What are the prime factors of j? 41 Let k(l) = 2*l**2 - 15*l - 8. Let a be k(8). Suppose j = a, 5*h - 168 = 2*h - j. What are the prime factors of h? 2, 7 Suppose -5*x - 2*t = -5302, 29 = 3*t + 41. What are the prime factors of x? 2, 3, 59 Let u be (-12)/8*(-6)/9. List the prime factors of u + 18 + 0 + -2. 17 Let l(g) = 55*g**2 + 63*g**2 + 1 + 6*g - 120*g**2 - g**3. Let k = -5 + 1. List the prime factors of l(k). 3 What are the prime factors of (8910/(-25) - 11)*-5? 11, 167 Suppose 0 = 3*t - 6*t + 72. Let w = -21 + t. Suppose 2*s - 49 - 36 = -w*x, 171 = 5*x - 4*s. List the prime factors of x. 31 Let y(a) = -3*a + 14. Let l be y(6). Let j be 495/9 - (l + 0). Suppose -3*u + 3*r + 15 = -24, 3*u - j = -2*r. List the prime factors of u. 17 Suppose 5*o + 0*t - t = 733, 0 = -4*t + 8. Let d = 878 - 873. Suppose -n = -d*f - 39, 2*n + 3*n = f + o. What are the prime factors of n? 29 Suppose -4*t - 5 = -5*t + j, -2*t - 15 = 3*j. Let p(b) = 2*b + 1. Let q be p(3). Suppose -3*x + 14 + q = t. List the prime factors of x. 7 Suppose q + 3*v = 1432, 3*q - 7*q + 5653 = -3*v. List the prime factors of q. 13, 109 Suppose -3*n + 60 = 2*p, 3*p + 56 = 4*n - 7. List the prime factors of n. 2, 3 Let y be 4 - 1/(2/4). Suppose y*z = -3*r + 8 + 9, 3*z + r - 22 = 0. Suppose 4*h - 29 = z. What are the prime factors of h? 3 Let l(t) = 18 - 116*t + 25 + 112*t. List the prime factors of l(-12). 7, 13 Let h = 7 + -13. Let l be h/36 - 13/(-6). Suppose l*d = 3*d - 32. List the prime factors of d. 2 Suppose -q - 3*u + 5 - 2 = 0, 5*q - 63 = -3*u. Let j be 2 + 3 - (-1 - 8)*-4. Let d = q - j. What are the prime factors of d? 2, 23 Let o(n
{ "pile_set_name": "DM Mathematics" }
1 - 7 = 0, 4*x = 2*c + 14. Is c at least as big as n? True Let n = 0.44 + -0.4. Let r = -0.96 - n. Is r smaller than -2/9? True Let r = 2314 - 18557/8. Which is smaller: -7 or r? -7 Let f(s) = -s**3 + 10*s**2 - 8*s - 9. Let l be f(9). Suppose 8*d = 3*d + 5, -4*a - 4*d = l. Which is greater: 1/22 or a? 1/22 Let v = 0 - -1. Let x = 51 + -256/5. Which is greater: x or v? v Let j(c) be the first derivative of c**2/2 - 7*c + 1. Let l be j(4). Let d be 1/l*(6 - 3). Which is greater: -2 or d? d Let n = -0.8 - -2. Let s = n + -0.2. Let o = 4 + -1. Is o < s? False Let k = 11.8 - 13. Which is smaller: k or -1? k Let j = 0.3 - 0.1. Suppose 3*m = m + 6. Let n be (-6)/(-9)*m/8. Is j at least n? False Let j be 3 + (-2 - -1) + -1. Let x be 2/(-7) - 10/63. Which is smaller: j or x? x Let o = 13/17 + -31/85. Do o and -0.6 have different values? True Suppose -4*w + 1 = -5*w. Let s be 0/(-2) - 6/1. Let p be (-5)/(-9)*s/15. Which is greater: p or w? p Let x = 1/30 - 7/10. Is -32 at most as big as x? True Let r = -3.91 + -0.09. Let p = 4 + r. Which is bigger: 2 or p? 2 Let j(u) = -u + 3. Let l be j(0). Let w be (8/(-52))/1 + (-28)/(-13). Is l at least as big as w? True Suppose 0 = -5*c - 0*c. Let m be (-30)/(-4)*3/615. Let a = -131/902 - m. Is c at least a? True Let v be -3*((-20)/(-6))/5. Let t = -2 + 0. Is v at most t? True Let g(h) = -h**3 + 12*h**2 - 20*h - 13. Let n be g(10). Is n at most as big as 2? True Let r = 10 + -9. Which is bigger: r or -3/14? r Suppose 1 = 2*g - 17. Suppose -4*b + z = -g, z = 5*z + 4. Let u = 1 - 0. Which is smaller: u or b? u Let s = 16 + -15. Which is smaller: -1/22 or s? -1/22 Let b be 10/(-2) - (-112)/24. Let u be (-1)/(2/(-4))*-2. Which is bigger: b or u? b Suppose v = 12 - 0. Which is smaller: 11 or v? 11 Suppose -7*v + 4 = 11. Are 8 and v non-equal? True Suppose 0 = b - o - o + 9, 13 = 3*b + 4*o. Let y be ((-20)/25)/(18/(-5)). Are b and y nonequal? True Let z(d) = d**3 - 14*d**2 - d + 15. Let n be z(14). Suppose 4 = 5*u - n. Suppose -i - 2*i + 9 = 0. Which is greater: u or i? i Let i = 55 - 166/3. Let v(g) = -1 - 3*g + 2 + 5*g. Let l be v(-1). Which is smaller: l or i? l Let y = 578 + -6346/11. Is 1 > y? False Let i be 4 - 0 - (-120)/(-32). Does -1.4 = i? False Suppose -3*j = -7*j - 24. Let o = 2 + j. Which is smaller: o or -7/2? o Let g be (4 + -3)/(-3)*-3. Do 0.3 and g have the same value? False Suppose 1 - 7 = 3*a. Let i = -1 - a. Does 7/6 = i? False Suppose 26*i = 27*i + 34. Does -34 = i? True Let j = 0.6 - 0.3. Let b = j + -0.2. Let z = 0.01 + -0.01. Is b at most as big as z? False Let v = -0.9 - -1. Is -6 >= v? False Let n(h) = 2*h**2 - 2*h - 4. Let j be n(3). Suppose -2*g - 2*g + 36 = 0. Is g at most as big as j? False Suppose a = 2*a + 1. Let j = -1 - 3. Do a and j have the same value? False Let c(z) = z**3 - 6*z**2 + 2*z - 4. Let i(g) = 5*g**3 + 2*g**2 - 2*g + 1. Let l be i(1). Let m be c(l). Suppose -2 + m = -3*b. Which is smaller: -3 or b? -3 Suppose 3*z + 5*q - 13 = 0, q = -5*z + 5*q + 34. Suppose -3*p - 21 = 3*t, 6*t + 19 = 3*p + t. Let y be (p + 9/z)*0. Do y and 2/3 have different values? True Let j(h) = -h**3 + h**2 + 2. Let y be j(0). Suppose a + 2 = 3*a. Is a greater than y? False Let d(j) = j - 1. Let a(x) = -5*x + 6. Let u(k) = -a(k) - 6*d(k). Suppose 4*f + 6 = -6. Let h be u(f). Do h and 2 have the same value? False Suppose 0 = -4*o - 11 + 3. Let w be 3/o - 231/(-242). Is w != -2? True Let w(r) be the third derivative of r**4/24 + r**3/3 + r**2. Let q be w(-4). Let y be q/(-4)*(0 - 2). Is y greater than -1/2? False Let t = 5 - 1. Suppose -t*l = l - 25. Suppose 0 = l*q - q. Which is bigger: 2 or q? 2 Suppose n = -5 - 16. Let r be 7/n - (1 + -2). Do r and -0.1 have different values? True Let m(n) = -3*n**2 - 23*n + 8. Let u(i) = -2*i**2 - 12*i + 4. Let d(k) = 3*m(k) - 5*u(k). Suppose g - 24 = -2*g. Let j be d(g). Is -4 at least j? True Let l = 11.4 + -12.4. Is 27 < l? False Let p be 1 + -2 - 4*5. Let l be (6/p)/((-4)/(-6)). Let t = -116 - -115. Which is smaller: t or l? t Let x be 2/7 - 6/21. Suppose 0*n - n + 31 = 0. Suppose x = -5*b - 25, b = -3*t - 4*b - n. Are -1/2 and t non-equal? True Let m = 6207/17 + -365. Which is greater: 1 or m? 1 Suppose 5*c - 53 = 157. Let x be (-16)/c + (-2)/7. Let s be 1/(2 - 1 - 2). Is s at most x? True Suppose -6*n = -7*n - 123. Are n and -124 equal? False Let d = 7 - 4. Let w = d - 4. Let f = 5/18 + -17/18. Which is smaller: f or w? w Suppose 4*d = -2*d + 150. Which is smaller: 26 or d? d Let r(i) = i + 1. Let w be r(7). Suppose 5 = -4*n + 3*t, 0*n - 2*n = 2*t - w. Is -8 < n? True Let m = -1 - -0.9. Let c be 11 + -2 - (-1)/(-1). Which is greater: m or c? c Let v be 110/56 - 26/(-91). Are v and 1 non-equal? True Let u(b) = -b**2 + b + 1. Let w(v) = -3*v**2 + 3*v + 5. Let c(r) = 4*u(r) - w(r). Suppose 2*g + 2 = 4. Let n be c(g). Is n at most as big as 2/9? True Suppose -26 = d - 3*d. Is d at least 14? False Suppose 4*o - 3*n - 8 - 6 = 0, 4*n + 12 = 4*o. Suppose 0 = -o*f - w - 29, -2*f = -w + 2*w + 14. Do f and -4 have different values? True Let o = 0.05 - -0.05. Which is bigger: 1/8 or o? 1/8 Let f(b) = b**3 + 4*b**2 + 2*b + 2. Let y be f(-3). Suppose 3*c - 52 = -4*v, c + 3*c - 66 = -y*v. Is v less than or equal to 11? True Let h = 12 + -8. Let o be (h + -3)/(-2 + 3). Which is bigger: 2 or o? 2 Let k = 2/593 + -33214/1779. Let o = k + 19. Is o greater than or equal to 1/2? False Suppose 18*g + 30 = 8*g. Which is bigger: g or -23/7? g Let b be (4/((-24)/(-10)))/((-5)/(-15)). Is b > 21/4? False Let j = -4.3 + 0.3. Let y = -10 - j. Let z = y + 8. Is -3 greater than z? False Suppose 2*f + 34 = 4*i, 0 = 5*i + 4*f - 2*f - 29. Which is greater: i or 8? 8 Let x = -1 + 1. Let i be (-20)/24 - (-9)/6. Is i equal to x? False Let b be 0/(1/(3 + -2)). Let f(r) = r**2 + 2*r - 3. Let g be f(3). Suppose 4*s - 4*z = g, -6 = 2*s + z + 3*z. Is s smaller than b? False Let a be (-4)/(-3) + 20/(-15). Which is smaller: a or -2/5? -2/5 Let b = 1466/9 + -163. Which is smaller: 1/3 or b? b Let w = -23 - -23. Is w less than or equal to 18? True Let p = -15 + 20. Is 0.3 at most p? True Let n = 2 + 0. Let j = 3 - n. Which is smaller: j or 4/3? j Let k be 3/9 - 13/3. Let j = k - -3. Is j greater than or equal to -2? True Suppose 147 = 4*p - 81. Which is bigger: p or 58? 58 Let l = 3.7 + 0.5. Let w = -0.2 + l. Is 0.1 not equal to w? True Let q be (-1)/(4/(-3)) + -1. Suppose 4*x = 5 + 3. Let s be x/(-7)*(-70)/30. Do q and s have different values? True Suppose -2*s + 4*t - 42 = 0, s + 2*t = 3*t - 16. Which is smaller: s or -9? s Let j be (-2 + 0 + -1)/(-11). Suppose 0 = t + 3 - 2. Which is bigger: j or t? j Let d = -2 + 2. Suppose -2*k + 40 = 3*k. Suppose k = c + 3*c. Is c less than or equal to d? False Let o be ((-20)/(-99))/((-4)/6). Let d = o - 4/11. Which is bigger: d or 2/3? 2/3 Suppose -2*p - 3*p = 120. Let k be p/(-10) - 4/10. Suppose j + 12 = -4*m - k, 0 = -m - 2*j. Which is bigger: -5 or m? m Let g be (-2)/4*396/(-6). Let i be 2/10 + g/(-315). Which is greater: i or 1? 1 Suppose y + 2*u + 15 = 6*y, 0 = -2*y + 4*u + 22. Let l = y - 3. Let c = -112/3 + 36. Do l and c have the same value? False Suppose -8*q + 3*q + 15 = 0. Let k be (-1 - 0)/((-3)/q). Which is smaller: k or -1/3? -1/3 Let p = -8 - -8. Let j = -0.04 - 4.96. Let f = j - -6. Is p smaller than f? True Let a(p) = p - 5. Let j be a(-6). Let d(x) = -x - 10. Let w be d(0). Let u = j - w. Are u and 2/19 nonequal? True Let a be (-1 - 2 - -2)/(2 - 1). Suppose -3*f + 28 = 4*w + w, -4*f = -5*w + 21. Suppose -4 = r + g, -w*r + 0*r = -5*g. Is a less than or equal to r? False Let b = -4 - -5. Suppose -u + 18 = -3*q, -2*u = -5*u + 4*q + 29. Let d be -1 + u/(-2 - -3). Is d smaller than b? False Let r(f) = -2 - 9 + 6*f + 1 + f**3 + 8*f**2. Let x be r(-7). Do x and -4 have different values? True Let k(s) be the first derivative of -s**2 - s - 4. Let r be k(-2). Is 2 greater than r? False Let w = -2 + 6. Let z = -5 + w. Which is smaller: z or -0.1? z Let g = 1.5 - -0.5. Let p = 7 - 5. Is g at most p? True Suppose 10 = 4*d + d. Suppose -5*r + 0*x - 31 = -4*x, 4*r + 4 = -d*x. Let g = -1 - r. Is g less than or equal to 0? False Let o be (8/10)/(4/10). Suppose o*m + 2*m = -8. Suppose 4*u - 1 + 9 = 0. Do u and m have different values? False Let i = 2714/63 +
{ "pile_set_name": "DM Mathematics" }
4 Let h(x) = -6*x**3 - 2*x**2 + 2*x - 7. Let a(d) = -13*d**3 - 5*d**2 + 5*d - 15. Determine 2*a(t) - 5*h(t). 4*t**3 + 5 Let l(r) = 67227*r**2 - 117*r. Let f(i) = 5226900*i**2 - 9100*i. What is 9*f(o) - 700*l(o)? -16800*o**2 Let f be (3 + 13 + -17)/(2/10). Let a(u) = -9*u + 33. Let h(n) = -n. Let s(y) = 4*y - 8. Let b(w) = 2*h(w) + s(w). Calculate f*a(j) - 21*b(j). 3*j + 3 Let l(q) = 40*q**3 + 17*q**2 + 20*q + 17. Let g(j) = 13*j**3 + 6*j**2 + 7*j + 6. Suppose 1095 + 369 = -244*d. What is d*l(m) + 17*g(m)? -19*m**3 - m Let o(m) = 6*m - 3. Let w(a) = 7455*a - 4260. Determine 1420*o(d) - w(d). 1065*d Let p(j) = -9*j**3 - 3*j**2 + 7*j. Suppose 4698 = -0*u - 18*u. Let a = -268 - u. Let t(z) = 5*z**3 + z**2 - 4*z. Determine a*t(b) - 4*p(b). b**3 + 5*b**2 Let w(g) = -23*g + 5. Let v be (248/(-3))/(-8)*(1 - -26). Suppose -280*h = -v*h - 11. Let l(a) = 8*a - 2. What is h*l(j) + 4*w(j)? -4*j - 2 Let x(p) = 4124*p**2 - 11*p - 22. Let b(k) = -1031*k**2 + 3*k + 6. Calculate -11*b(i) - 3*x(i). -1031*i**2 Let f(s) = -s**3 - 4*s + 1. Let r(a) = 8*a**3 + 24*a + 1869. What is 6*f(w) + r(w)? 2*w**3 + 1875 Let k(a) = -197*a**3 - 9*a**2 - 21*a - 14. Let s(h) = 92*h**3 + 4*h**2 + 10*h + 7. What is -6*k(z) - 13*s(z)? -14*z**3 + 2*z**2 - 4*z - 7 Let x(n) = -78*n**3 - 6*n**2 - 12*n - 13. Let h(u) = -u**3 + u**2 + 2*u - 3. Calculate 6*h(m) + x(m). -84*m**3 - 31 Let v(l) = 1 - 12 - 5*l + 3 - 3. Let q(a) = -12*a - 22. Let p(b) = 4*q(b) - 9*v(b). Let y(s) = -s + 4. Give 6*p(u) - 17*y(u). -u - 2 Let u(n) = -4100*n + 203. Let l(a) = -1025*a + 54. Give -15*l(t) + 4*u(t). -1025*t + 2 Let k(n) = -13*n**2 + 2*n + 2. Let u(t) = -3*t**2 + t. What is -k(y) + 6*u(y)? -5*y**2 + 4*y - 2 Let g(b) = -2*b**3 + 3*b**2 + 244*b + 24. Let d(o) = 9*o**3 - 11*o**2 - 976*o - 88. Determine -3*d(u) - 11*g(u). -5*u**3 + 244*u Let c(d) = 14*d + 52. Let q(m) = -35*m - 155. Give -7*c(g) - 2*q(g). -28*g - 54 Let f(a) = -173*a + 48. Let c(n) = 238*n - 47. Determine -4*c(v) - 5*f(v). -87*v - 52 Let w be (2/(-4))/(-38 + (-4983)/(-132)). Let h(z) = 8*z + 5. Let j(d) = -1. What is w*j(l) + h(l)? 8*l + 3 Let g(k) = -2*k**3 - 3*k**2 - 2*k + 1. Let x(m) = 4*m**2 - 1 - 726859*m + 726858*m - 5*m**2. Give g(s) - 2*x(s). -2*s**3 - s**2 + 3 Let s = -3426 + 3419. Let r(u) = -13*u + 9. Let q(p) = 4*p - 3. Give s*q(w) - 2*r(w). -2*w + 3 Let n(p) = 2*p**3 - 7*p**2 - 113*p - 6. Let q(v) = 2*v**3 - v**2 - v - 1. What is n(r) - 7*q(r)? -12*r**3 - 106*r + 1 Let w(m) = 3920488*m. Let z(q) = 3901*q. Calculate -6*w(f) + 6032*z(f). 7904*f Let m(d) be the third derivative of d**5/30 + d**4/8 - d**3 + 8151*d**2. Let w(f) = -f**2 - 2*f + 6. What is 4*m(l) + 5*w(l)? 3*l**2 + 2*l + 6 Suppose 5*n - 10 = -w, 0 = 5*w - 6*w - 3*n + 4. Let f(g) = -6*g**2 + 8. Let v(q) = -7*q**2 + 8. Determine w*v(d) + 6*f(d). -d**2 + 8 Let p(s) = 3*s**2 + 5*s + 5. Suppose 3151 = -18*i + 3079. Let u(r) = r**2 + r + 1. Determine i*u(d) + p(d). -d**2 + d + 1 Let i(g) = g - 1. Let l(q) = q**2 - q - 1. Let d(x) = 5*x**2 - 9*x + 15. Let n(y) = d(y) + 3*l(y). Let v = -11 + -1. Give v*i(f) - n(f). -8*f**2 Let v(z) = -z + 4. Let l(c) = -1. Let y = 140 - 136. Let f be (8/(-20))/(y/(-30)). What is f*l(x) + v(x)? -x + 1 Let r(y) = -9*y**2 + y - 138. Let o(t) = -5*t**2 - 68. Determine 5*o(w) - 3*r(w). 2*w**2 - 3*w + 74 Let q(a) = -2*a**3 + 8*a**2 - 21*a - 8. Let j(n) = 5*n**3 - n**2 - n. Let r(c) = 6*c**3 - 4*c**2 + 6*c + 3. Let i(h) = j(h) - r(h). Determine -8*i(f) + 3*q(f). 2*f**3 - 7*f Let d(u) = 3*u**2 + 2. Let p = -14 + 8. Let g(j) = -7*j**2 - 4. Let n be 336/(-112)*(-6)/(-9)*(-22)/(-4). Determine n*d(f) + p*g(f). 9*f**2 + 2 Let a(u) = 5*u**3 - 41*u**2 - 11*u + 49. Let v(z) = -4*z**3 + 40*z**2 + 10*z - 33. Determine 2*a(d) + 3*v(d). -2*d**3 + 38*d**2 + 8*d - 1 Let o(n) be the first derivative of 3*n**4/2 + 4*n**3/3 - 2*n**2 + n + 8819. Let l(k) = -2*k**3 - k**2 + k. Give 7*l(p) + 2*o(p). -2*p**3 + p**2 - p + 2 Let t(v) = 21400*v**2 - 50*v + 25. Let s(j) = 2675*j**2 - 6*j + 3. Calculate -25*s(i) + 3*t(i). -2675*i**2 Let m(v) be the third derivative of -v**5/30 - v**4/8 - v**3/3 - 13*v**2 + 36*v - 1. Let j(s) = s - 1. Calculate 4*j(u) + m(u). -2*u**2 + u - 6 Let q(m) = 12 + 75 - 89 + 107 - 7*m - 14*m. Let f(j) = 4*j - 21. Determine -11*f(v) - 2*q(v). -2*v + 21 Let u(k) = -101*k**2 - 6*k - 1. Let r(l) = 47*l**2 + 3*l + 1. Give -13*r(h) - 6*u(h). -5*h**2 - 3*h - 7 Let p(w) = -1. Suppose 89*d - 90 = -1. Let b(j) = -17*j - 2. Determine d*b(k) - 2*p(k). -17*k Let z = 524 - 516. Let c(s) = s**2 - 5*s + 5. Let i(r) = -22*r + 3*r**2 - 21*r + 7 + 7 + 9*r + 20*r. Determine z*c(f) - 3*i(f). -f**2 + 2*f - 2 Let k(j) = j**2 + 6*j. Let p = 286 - 181. Let n be 4/(-5) - 7/(p/(-12)). Let f = n + -2. Let r(a) = 3*a**2 + 13*a. Calculate f*r(z) + 5*k(z). -z**2 + 4*z Let t(c) = -8*c - 4. Let a(n) be the first derivative of n - 2184. What is -5*a(m) - t(m)? 8*m - 1 Suppose 3*w - 4*p + 2 = 133, -p - 45 = -w. Suppose -w - 72 = -11*r. Let j(d) = d**3 - 8*d. Let v(i) = 2*i**3 - 15*i. Calculate r*j(g) - 6*v(g). -g**3 + 2*g Let w(k) = -4851*k**2 - 15*k - 2. Let q(c) = 1616*c**2 + 4*c + 1. Determine -7*q(n) - 2*w(n). -1610*n**2 + 2*n - 3 Let m(p) = -8*p**2 - 8. Let f(t) be the second derivative of -5*t**4/4 - 8*t**2 - 433*t. Determine 6*f(z) - 11*m(z). -2*z**2 - 8 Let w(o) = -7*o**3 + 3*o**2 + 377. Let q(c) = -12*c**3 + 5*c**2 + 756. Give -3*q(p) + 5*w(p). p**3 - 383 Let n(z) = 116*z**3 - 5*z**2 + z + 9. Let f(a) = -174*a**3 + 7*a**2 - a - 14. What is -5*f(w) - 7*n(w)? 58*w**3 - 2*w + 7 Let p = 9405 - 9400. Let d(h) = -h - 2. Let m(w) = -w - 2. Let t(v) = -v - 2. Let i(j) = 3*m(j) - 2*t(j). Give p*d(q) - 6*i(q). q + 2 Let x be ((-17)/3)/(6 - (-3787)/(-630)). Let q be (-56)/30 + (-68)/x. Let n(k) = k. Let u be 104/(-6) - 2/3. Let d(t) = -11*t. Give q*d(y) + u*n(y). 4*y Let i(c) = c**2 - 7*c - 2. Let f be (4 + (-98)/21)/(2/(-45)). Let l(a) = a**2 - 8 - 1 + 3*a + 8 + 8*a - f*a. Calculate 4*i(r) - 7*l(r). -3*r**2 - 1 Let y(v) be the third derivative of v**6/30 + v**5/15 - 7*v**4/24 + v**3/3 - 1951*v**2. Let o(x) = -13*x**3 - 13*x**2 + 22*x - 7. Determine -2*o(a) - 7*y(a). -2*a**3 - 2*a**2 + 5*a Let z(f) = 8503*f**3 - 4*f - 4. Let k(v) = -17006*v**3 + 10*v + 10. Give -2*k(n) - 5*z(n). -8503*n**3 Let y(g) = 2*g**2 + 5*g - 5. Let x(n) = n**2 - 4*n + 2. Let p be x(3). Let w(u) = -u**2 - u + 1. Let a = 7110 - 7115. Determine a*w(j) + p*y(j). 3*j**2 Let g(f) = 8 + 125*f**3 + 28*f**3 + 26 - 34*f + 34*f**2 - 3 + 3. Let p(w) = 22*w**3 + 5*w**2 - 5*w + 5. Give -5*g(v) + 34*p(v). -17*v**3 Let x(t) = 58*t**3 + 62*t**2 + 10*t - 19. Let s(i) = -18*i**3 - 21*i**2 - 3*i + 6. What is -10*s(b) - 3*x(b)? 6*b**3 + 24*b**2 - 3 Let t = 7320 - 7326. Let g(q) = 39*q**3 - 13*q**2 - 13*q + 13. Let x(u) = -10*u**3 + 3*u**2 + 3*u - 3. What is t*g(d) - 26*x(d)? 26*d**3 Let w(z) = 31*z + 41. Let k(a) = -31*a - 43. What is -6*k(m) - 7*w(m)? -31*m - 29 Let s(q) = -1795*q**2 + 2*q + 5. Let c(m) = 1786*m**2 - 3*m - 6. What is 5*c(u) + 6*s(u)? -1840*u**2 - 3*u Let b(k) = 5*k + 2. Let t(f) be the third derivative of -7*f**4/12 - f**3 + 2*f**2. Let o = -8347 - -8341. Give o*t(c) - 17*b(c). -c + 2 Let f(k) = k - 10. Let n(j) = j - 11. Suppose 29*b - 15*b = -54*b - 272. Calculate b*n(x) + 5*f(x). x - 6 Let y(k) = -8*k + 25. Let b(g) = -4 + 4*g + 3*g - 6*g + 1. Determine -51*b(m) - 6*y(m). -3*m + 3 Let b(d) = 20*d**2 - 17*d - 36. Let c(s) = 11*s**2 - 38*s - 8. Let t(w) = 12*w**2 - 46*w - 7. Let v(o) = -5*c(o) + 4*t(o). Determine 6*b(n) + 17*v(n). n**2 - 12 Let c(o) = o**2 - 2*o + 3. Let t be (-7 - -9)*(-1 - -38). Let p(z) = -4*z + t + 64 + 3*z**2 - 132. What is -5*c(b) + 2*p(b)? b**2 + 2*b - 3 Let k(w) = 2*w**3 - w**2 + w - 7. Let r(q) be the first derivative of -q**4/4 + q**3/3 - q**2/2 + q - 8011. Determine 2*k(h) + 2*r(h). 2*h**3 - 12 Let d(z) = -3395*z**2 - 2*z + 12. Let k(a) = -2*a + 6. What is -d(i) + 2*k(i)? 3395*i**2 - 2*i Let h(l) = l**2 - l. Let o(s) = -s**2 + 2*s - 6. Let k be ((-15)/(-3) - 6) + 1. Suppose k = 5*i - 13 + 8. Calculate i*o(m) + 2*h(m). m**2 - 6 Let x(t) = 32*t**2 - 22022*t - 55. Let m(z) = -6*z**2 + 4405*z + 10. Calculate -11*m(g) - 2*x(g). 2*g**2 - 4411*g Let b(i) = -i + 9. Let s be 9 - 7 - (48/32)/(6/28). Let d(y) = y + 1. Determine s*d(w) + b(w). -6*w + 4 Let r(t) = -359*t**2 - 9*t - 5. Let p(v) = 3
{ "pile_set_name": "DM Mathematics" }
lculate (-758)/10 + ((-24210)/75)/269. -77 What is 9 + ((-21)/(-8))/((-1980)/6765)? 1/32 Evaluate ((701/(-16824))/(((-14)/(-64))/(-7)))/(4/(-90)). -30 ((-24)/(-1748))/((-1249)/(-28727)) 6/19 Calculate 405/117 - (-1617)/(-462). -1/26 4/16*88 - 6260/285 2/57 What is the value of 1512/(-833) + (-66)/(-44) - 6/(-21)? -1/34 Evaluate (-956)/(-2)*(-35 + (-1142424)/(-32640)) - 12/32. -2/85 ((-126)/(-27))/((-33)/(-693)*(-56)/16) -28 (19 - ((-111033)/(-78))/73)/((-15)/(-80)) -8/3 18/20 - 600/720 - (-330)/(-8325) 1/37 Calculate 11344/264 + 2 + 518/17094. 45 -45 + -7 - (320 - 471) 99 Calculate ((-40)/(-1080))/(12 - (-1232)/(-99)). -1/12 What is the value of 758/660 - (-7 - 1062/(-162))*(-84)/32? -1/55 What is -13 - ((-5740)/(-656))/((-10)/16)? 1 What is the value of 4913/(-7735) - (-3690)/5330? 2/35 Evaluate ((-6)/(-138))/((-19)/684*254 + 7). -18/23 (2*-1)/((-34)/((-3060)/(-1026)) - -9) 5/6 What is the value of (-91 - 524628/(-5092)) + -1*(0 + 12)? 2/67 -93 - 49/14*1860/210 -124 What is the value of 17*((-6633)/(-187) + -9 - 23)? 59 What is the value of 18 + 1106/(-70) - 422/10? -40 Calculate 760/333 + (-23238)/(-143301) - 2/(-9). 8/3 (20/14)/((-7110)/15484) -28/9 What is -32 + 10 - -35 - 21? -8 Evaluate 18/30 - (2/26 + 16815/6175). -11/5 Evaluate (-210023)/15650 + -5*(-14)/(-875). -27/2 Evaluate 6 + ((-124)/(-11))/(2584/187 - 14). -56 Calculate (-14)/2 + (0 - (-6)/12)/((-73)/(-1095)). 1/2 Evaluate (180/50 + -4)/(-10 - (-10010)/1000). -40 Evaluate (-6499)/1940 + 900/240. 2/5 Evaluate (1/(-9))/(46/((-11316)/246)). 1/9 Calculate -23 - ((-100)/225)/((-4)/(-6)) - 17/(-51). -22 What is (63420/189)/10 - 2/9 - 14? 58/3 What is 6/(700/(-630)*-27)? 1/5 Calculate (2/(-2))/(-10 - (42672/(-1040) - -31)). -65/2 Calculate (-135)/(-35) + (35 - 46) + 1*6. -8/7 Calculate ((-48)/56*-7 - 15) + 19 + -11. -1 Evaluate (-92)/(-506)*(-173)/(-14) + ((-1215)/(-105) - 13). 9/11 What is the value of (-550)/300*(-24)/(-1936)? -1/44 What is the value of (1*-1*1)/(415312/3030 - 137)? -15 What is the value of (-85)/((-145)/(-986)*-17)? 34 What is the value of 8/78*61/((-4148)/204)? -4/13 What is (55 + (-28996)/528)/((-5)/(-4))? 1/15 What is the value of 21 - 2622/120 - 1/(-4) - (-4251)/(-65)? -66 Evaluate (-804)/28 - (-7)/((-1127)/46). -29 Calculate 12446/(-18669)*1089/(-6). 121 What is (-1)/(5/175) - (-33 - (-33 + 60/6))? -25 (14298 - 146)/122 - 130 -14 Calculate 9/((1419/99)/43). 27 What is 66 + (6/12)/((-7)/28)? 64 ((-128)/12 - -6)/((96/(-90))/(-4)) -35/2 What is the value of (-3150)/(-108)*(-9)/(-150)? 7/4 What is (-10 + 6)*121*6*3/(-99)? 88 What is the value of 948/(-1659) - (3 - 1578/336 - 3/(-2))? -3/8 Evaluate 120/50 + 14477/(-3255) + (-96)/(-56). -1/3 ((-36708)/(-735) + -50)/(10*(-2)/14) 1/25 (-36)/(-684)*(-17 - 70/(-4)) 1/38 (-5 - (-1 - 1))*((-1408)/(-12))/16 -22 What is 58479/(-4545) + 12 + 1 + (-268)/(-15)? 18 Calculate 54/45*((-160)/(-12))/(-8)*(-30)/(-4). -15 23*(((-5)/3)/((-695)/(-2502)) - -7) 23 What is (-29356)/6444*(-1 + 4)*-3? 41 (-90)/(-10)*(-6 + 6/(144/124)) -15/2 4774/868*16/44 2 What is (158/(-2))/((-3 - 0)*3*71/(-639))? -79 What is the value of (117/(-78))/(1323/(-4998))? 17/3 What is the value of ((-4875)/(-78))/(-5)*2? -25 What is the value of ((-10)/24*(-6)/2)/((-137)/881184*-134)? 60 Evaluate (-4)/(-9)*60/200 + 1392/(-540). -22/9 -142 - (96/(50400/375))/(66/21 + -3) -147 Evaluate ((-104)/(-9) - 11)*1/(3/(-9)). -5/3 What is the value of (575/(-46) + 25)/(639/(-284))? -50/9 Evaluate -4 - ((-10 - (-22 + 12))*1 - 9). 5 What is the value of (-50086)/16484 + 1/(4/72*6)? -1/26 (14/91)/((-13622)/(-5421)) 3/49 Calculate ((-750)/(-450))/(330/54). 3/11 Calculate ((-6320952)/103040)/99 + ((-321)/(-105) - 3). -9/16 0 + 18/4 + 357/(-8)*32/(-24) 64 What is (74269/5122)/(2/(-4))? -29 What is the value of (-29)/((-3045)/(-42))*75/8? -15/4 What is 246/36*(-108)/19926*-90? 10/3 ((-29835)/(-378) + -79)*6/(-27) 1/63 -5 + -3 + 11 + (-2 - (-110)/(-40)) -7/4 What is the value of (-187)/51*4/(-22)*((-2373)/(-14))/1? 113 What is the value of 2*((-413)/6)/((-3871)/(-1659))? -59 Evaluate 23/46*(196/(-46) - -4). -3/23 Calculate 6 - 3654/588 - (-69255)/(-798). -87 Calculate (-341)/(36828/24) + (-248)/(-1197). -2/133 Evaluate (288585/27225)/(1/10). 106 What is the value of -1*2/(-22) + 21700/(-2387) + 116/(-4)? -38 Evaluate (-291)/108 - (-400)/1600. -22/9 Evaluate (-1115)/669 + 5248/123 + (3 - -7). 51 Calculate (129/2408*42)/((-15)/(-16) - 3). -12/11 What is (-7 - 6/(-1))/(4/(34 + 114))? -37 Evaluate 69 + -14 + (-45 - 2). 8 Calculate 5880/(-45)*(-40)/14080*44. 49/3 (-21076)/4048 - (-18)/(-414) -21/4 What is -8 + 0 + (80 - 73)? -1 Calculate (-65)/(-33) + (-456)/266*7/(-33). 7/3 What is (-33*(-22)/(-1452))/(-1*(-2)/3)? -3/4 Evaluate 286 - 286 - (-6 + 7 - (-144)/(-3)). 47 What is (-63)/(-6)*(-125)/(-7875) - (-1)/(-6)*-47? 8 Evaluate ((-252)/(-24) + -2 + -14)*(6 - (-6 + 2)). -55 ((-92)/20 + 3)/(2 + 40/(-25)) -4 Calculate 14 - ((-648)/486)/(4/63). 35 What is 20 + (-3915)/203 + (3 + -3 - 1)? -2/7 Calculate 324/14 + -23 + 2510/70. 36 What is the value of (-2)/(-30) - 160/64*2096/(-150)? 35 12010/16814*8/(-10) + 89/168 -1/24 What is the value of -28 + (99 - -1) + -39? 33 ((-2834)/247)/(-109) + 686/(-19) -36 Calculate (-925)/(-15) - 32076/594. 23/3 (-828)/506 + (-340)/(-275) - 681/(-15) 45 75/(-9)*6*55/50 -55 What is (-5)/(550/(-18)) - 89/((-47971)/(-196))? -1/5 Evaluate -3 + (-8217)/(-69) - (108/1674)/(230/310). 116 7/((-350)/(-55)) + 1446/3615 3/2 Evaluate (-9)/9*(-32)/480. 1/15 3/(-168)*(-94 + -298) + (62 - -1) 70 Calculate 4604/81721*(1 + (-3)/2). -2/71 Calculate (23680/(-7252))/(3/(-42)) + ((-9)/(-7) - 1). 46 (72/(-9) - -12)/(32 - 31) 4 What is (-19 - -3 - -15)*2296/56? -41 What is the value of 110 - 57 - 44 - (-35)/(-3)? -8/3 What is (-2040)/(-1003) + (-104 - -102)? 2/59 What is the value of (472/(-2832))/((-1)/(-3) - 12/(-8))? -1/11 Evaluate 8 + (5 - 30) - (-8 + -50). 41 What is 2/29 - (-287)/((-1373295)/968)? -2/15 What is 9/(45/(-4))*1560/3952? -6/19 Calculate 5764600/160284 + (720/(-5))/4. -2/57 What is the value of 4/(-1) - (-11 + (-4182)/(-410))/((-6)/75)? -14 What is the value of ((-36)/25)/((-7)/(-35)) + 46 + 26988/(-585)? -22/3 Calculate (4 + 96/(-15))*(-49)/392. 3/10 What is ((-912)/836 + (-680)/22)*3/12? -8 What is 2/26 + (-5256)/(-117) + -105? -60 Evaluate (44/(-726))/(8925/5775). -2/51 What is the value of -5 + 2542/496 + (-30)/16? -7/4 What is (-1131)/90 + 3136/(-5880) - -11? -21/10 Evaluate (9*(-3)/(-12))/(16/20*(-1140)/(-64)). 3/19 (-9 + (-43)/516*426/(-4))/(4/(-352)) 11 Calculate ((-180)/9)/(-3 - -5) + 84/(-2). -52 48/15 + (-515675)/5250 + 20/840 -95 Evaluate (-1092)/104*(-800)/168. 50 What is the value of 1584/4752 + 1136/12? 95 What is -24 + 19 + (-1365)/(-35)? 34 What is the value of (2 + (-34)/(-15)*(-12)/8)*1184/(-4144)? 2/5 50/(-2375) - (18 + 232034/(-2090)) 93 What is the value of ((-23069)/(-184) + -125)*(-4)/(-51)? 1/34 What is (-12)/222 + 3003/222*2? 27 What is the value of (16 - -3)*(-14 - (-375)/20) + 1/(-4)? 90 What is (-24)/210*(4/(-5) + (-5461)/(-1270))? -2/5 What is the value of (-16492)/(-168) + -66 - (-3)/(-18)? 32 What is the value of (-28)/(-6)*(-3 - 87/10)/(4917/8195)? -91 What is 420/25988 + (-1096)/(-97544)? 2/73 128/2368*2294 - 90 34 Calculate 14 + -1 + (-6815)/(-3654)*-7. -1/18 1482/1976*(-664)/6 + 13 -70 What is 9 + 3/(-9) + (-1)/2*(108 - 108)? 26/3 What is 70 + 682/132 + -81? -35/6 Evaluate 5 - (53954/3657 + 12/(-138)). -29/3 Evaluate 6402/28809 + 228/(-945) + 0. -2/105 What is the value of (1071/126 - -13) + 17/(-1)? 9/2 Calculate ((-91)/147*14)/(2/35*(-28)/12). 65 (54 + 2)/4 - (23/(-138) - (-155)/15) 23/6 What is the value of 215/(-5) + (-162 - -211) - 133? -127 What is the value of ((-25104)/864 - 9) + 38? -1/18 Calculate ((-11495)/627)/(-3 + 88/36). 33 What is the value of (1760/(-50))/(-44) + (-1084)/(-20) + 2? 57 What is the value of 60/99 - 1050/3150? 3/11 What is 81 - (214 - (-113 - -150))? -96 Evaluate (411 + -11)/(-10)*(-3)/12. 10 Calculate (8 + (-5 - 2))/((-74)/(-3478)). 47 What is the value of (-375)/((-525487500)/95904) - (-2 - (-52)/25)? -2/173 (7/11)/(11010/(-20185)) -7/6 -5 + (10 - -4) + (8 + -6)/(4/(-46)) -14 Calculate ((-14204)/(-2968))/(13/182). 67 What is the value of (3 - (9 - (-15)/(-20)))*((-224)/(-16))/98? -3/4 What is (
{ "pile_set_name": "DM Mathematics" }
croseconds are there in three fifths of a millisecond? 600 What is 3/5 of a microgram in nanograms? 600 How many minutes are there in 19/4 of a day? 6840 What is 0.8657581 days in minutes? 1246.691664 How many millilitres are there in thirteen fifths of a litre? 2600 What is 1/15 of a century in months? 80 What is 852244.6 minutes in microseconds? 51134676000000 How many kilograms are there in 897575.2 tonnes? 897575200 Convert 0.2283817 millennia to years. 228.3817 How many hours are there in five eighths of a day? 15 How many millimeters are there in 1/5 of a centimeter? 2 What is three tenths of a litre in millilitres? 300 What is 2.17106ns in microseconds? 0.00217106 How many millimeters are there in 21/5 of a centimeter? 42 How many kilograms are there in twenty-nine halves of a tonne? 14500 How many micrograms are there in 29/5 of a milligram? 5800 How many seconds are there in 1/28 of a week? 21600 Convert 252.2678ml to litres. 0.2522678 Convert 0.2522871 decades to years. 2.522871 What is 3/5 of a litre in millilitres? 600 How many nanograms are there in 3/25 of a microgram? 120 How many meters are there in 297.9465km? 297946.5 Convert 527483.9g to micrograms. 527483900000 How many millilitres are there in five quarters of a litre? 1250 How many years are there in twenty-seven fifths of a millennium? 5400 Convert 148.7012877 nanoseconds to weeks. 0.00000000000024586853125 Convert 81.29803 millennia to years. 81298.03 How many centimeters are there in 652399.5m? 65239950 What is seven quarters of a litre in millilitres? 1750 Convert 95.36754 days to milliseconds. 8239755456 What is 355.4746 decades in centuries? 35.54746 How many micrograms are there in eleven quarters of a milligram? 2750 What is 633423.3l in millilitres? 633423300 How many milligrams are there in 9040.818g? 9040818 How many seconds are there in seventeen sixths of a minute? 170 What is 416.7572 decades in years? 4167.572 What is 2.695479 hours in seconds? 9703.7244 What is 404.7405mg in kilograms? 0.0004047405 How many micrograms are there in twenty-seven halves of a milligram? 13500 Convert 7732.779 years to decades. 773.2779 How many litres are there in 7.192584ml? 0.007192584 What is 16/15 of a millennium in months? 12800 What is 68/3 of a century in months? 27200 Convert 0.4550415 micrograms to grams. 0.0000004550415 Convert 9873.243 hours to days. 411.385125 How many weeks are there in 706.67562 hours? 4.2064025 What is 1/5 of a meter in millimeters? 200 Convert 14338.4ug to kilograms. 0.0000143384 How many seconds are there in 93734.75 hours? 337445100 How many kilograms are there in one quarter of a tonne? 250 What is 6/25 of a meter in millimeters? 240 Convert 0.0259318 litres to millilitres. 25.9318 Convert 81.40374 litres to millilitres. 81403.74 What is 494.1647 years in decades? 49.41647 What is 45/8 of a micrometer in nanometers? 5625 How many grams are there in seven halves of a kilogram? 3500 What is 656.0998g in nanograms? 656099800000 How many kilometers are there in 6067.754cm? 0.06067754 How many grams are there in 95.51867kg? 95518.67 What is 11/2 of a centimeter in micrometers? 55000 Convert 59.6046l to millilitres. 59604.6 What is one fifth of a micrometer in nanometers? 200 Convert 874.5134 decades to centuries. 87.45134 What is twenty ninths of a day in minutes? 3200 Convert 1877.78 millilitres to litres. 1.87778 What is three eighths of a milligram in micrograms? 375 What is 6783.041mm in micrometers? 6783041 What is twenty-nine halves of a hour in seconds? 52200 What is 29/6 of a hour in minutes? 290 Convert 1.605856mm to meters. 0.001605856 What is 55/2 of a millennium in centuries? 275 Convert 655541.3 kilograms to micrograms. 655541300000000 How many millilitres are there in 6/5 of a litre? 1200 How many months are there in 3/16 of a millennium? 2250 What is six fifths of a litre in millilitres? 1200 How many nanometers are there in nine tenths of a micrometer? 900 What is twenty-nine halves of a centimeter in millimeters? 145 What is 21/2 of a kilogram in grams? 10500 What is 2/21 of a week in hours? 16 How many minutes are there in 6/5 of a hour? 72 Convert 670580.4 weeks to days. 4694062.8 How many decades are there in thirteen quarters of a millennium? 325 How many milligrams are there in 3/25 of a gram? 120 What is fifty-nine fifths of a millennium in decades? 1180 What is 2111.48 centuries in millennia? 211.148 What is eighteen fifths of a kilogram in grams? 3600 How many months are there in five sixths of a year? 10 What is 44/5 of a litre in millilitres? 8800 What is 1/10 of a week in seconds? 60480 What is 49999.72 weeks in days? 349998.04 What is 0.6527883ml in litres? 0.0006527883 How many kilograms are there in fourty-nine fifths of a tonne? 9800 Convert 75.29459ug to grams. 0.00007529459 How many kilograms are there in 1118.228t? 1118228 How many millilitres are there in 31/5 of a litre? 6200 What is 0.632034 years in months? 7.584408 How many minutes are there in 2.7683805ns? 0.000000000046139675 Convert 4822.97mg to kilograms. 0.00482297 Convert 571.0578ml to litres. 0.5710578 How many litres are there in 0.282499ml? 0.000282499 What is 1/16 of a day in seconds? 5400 What is one sixteenth of a kilometer in centimeters? 6250 Convert 0.57069kg to milligrams. 570690 How many millimeters are there in 21/8 of a meter? 2625 What is 5/24 of a hour in seconds? 750 What is fourty-three quarters of a minute in seconds? 645 Convert 13330.1133 hours to weeks. 79.3459125 What is 9859.862 weeks in microseconds? 5963244537600000 What is 0.5774737ng in grams? 0.0000000005774737 How many micrometers are there in 3/25 of a millimeter? 120 How many litres are there in 3577.358 millilitres? 3.577358 What is 88/5 of a millimeter in micrometers? 17600 Convert 1.564204 hours to seconds. 5631.1344 Convert 6872.2 days to microseconds. 593758080000000 What is 342233.8l in millilitres? 342233800 Convert 79048.5l to millilitres. 79048500 What is 331.3184 micrograms in grams? 0.0003313184 How many decades are there in 9444.585 years? 944.4585 How many decades are there in 591.016 years? 59.1016 How many milliseconds are there in nine tenths of a minute? 54000 How many kilograms are there in 1/4 of a tonne? 250 How many microseconds are there in 261.7493 hours? 942297480000 How many days are there in 81.727992 minutes? 0.05675555 How many millimeters are there in 29/2 of a meter? 14500 What is 7.45143g in milligrams? 7451.43 What is 519.958 centuries in months? 623949.6 How many kilometers are there in 835.6143 micrometers? 0.0000008356143 How many months are there in thirty-three fifths of a century? 7920 Convert 1261882.2ns to minutes. 0.00002103137 How many microseconds are there in 0.4851789s? 485178.9 How many nanometers are there in 43/4 of a micrometer? 10750 How many nanometers are there in thirty-three fifths of a micrometer? 6600 What is 0.2602921 centuries in months? 312.35052 What is 17/4 of a litre in millilitres? 4250 Convert 305267.8 millilitres to litres. 305.2678 How many hours are there in 0.2694282 days? 6.4662768 How many grams are there in 335.056ug? 0.000335056 What is ten thirds of a hour in minutes? 200 How many months are there in 7/2 of a year? 42 What is thirty-three fifths of a decade in months? 792 How many micrometers are there in 3/25 of a millimeter? 120 What is 3.198272ng in grams? 0.000000003198272 What is 92.24784 millilitres in litres? 0.09224784 Convert 297040.2 millilitres to litres. 297.0402 What is nine tenths of a millimeter in micrometers? 900 How many centimeters are there in 75.00422nm? 0.000007500422 How many grams are there in 27/4 of a kilogram? 6750 How many millimeters are there in 9.567454 centimeters? 95.67454 How many kilograms are there in 293765.2ng? 0.0000002937652 Convert 472549.3ng to kilograms. 0.0000004725493 What is 53/5 of a litre in millilitres? 10600 How many centimeters are there in 26/5 of a meter? 520 What is 8/15 of a minute in milliseconds? 32000 What is 15/4 of a microsecond in nanoseconds? 3750 Convert 598483.242 seconds to weeks. 0.989555625 What is 2.694429 meters in kilometers? 0.002694429 What is 3/40 of a second in microseconds? 75000 What is 17.473281 hours in days? 0.728053
{ "pile_set_name": "DM Mathematics" }
base 3) to base 10 19 Convert -77 (base 10) to base 9. -85 What is -3 (base 8) in base 14? -3 -1321 (base 4) to base 8 -171 What is 15 (base 15) in base 4? 110 -127 (base 8) to base 3 -10020 What is -b1 (base 16) in base 8? -261 What is 1 (base 6) in base 15? 1 Convert 143 (base 13) to base 7. 440 -442 (base 7) to base 8 -342 Convert -3203 (base 4) to base 2. -11100011 Convert 312 (base 6) to base 11. a6 37 (base 9) to base 11 31 Convert 0 (base 4) to base 5. 0 Convert -64 (base 11) to base 14. -50 Convert -431 (base 7) to base 11. -189 What is 3 (base 10) in base 8? 3 Convert 10 (base 8) to base 7. 11 What is -66 (base 8) in base 10? -54 -2 (base 11) to base 8 -2 Convert -7 (base 10) to base 7. -10 Convert -37 (base 9) to base 8. -42 What is 10 (base 2) in base 11? 2 15 (base 8) to base 15 d What is -6 (base 7) in base 5? -11 What is -4 (base 14) in base 16? -4 Convert 22 (base 9) to base 10. 20 -8 (base 11) to base 3 -22 Convert 0 (base 3) to base 4. 0 -34 (base 5) to base 10 -19 -91 (base 13) to base 10 -118 Convert 2223 (base 4) to base 6. 443 What is -2 (base 5) in base 16? -2 Convert -3 (base 4) to base 16. -3 Convert 200 (base 5) to base 14. 38 Convert -3 (base 8) to base 9. -3 Convert 0 (base 4) to base 7. 0 What is -74 (base 8) in base 10? -60 100 (base 8) to base 13 4c What is -2 (base 15) in base 2? -10 -10 (base 10) to base 6 -14 What is -9 (base 15) in base 11? -9 304 (base 7) to base 5 1101 Convert 1036 (base 7) to base 4. 11302 Convert -1 (base 11) to base 9. -1 Convert 2 (base 8) to base 9. 2 Convert 0 (base 5) to base 7. 0 What is f (base 16) in base 10? 15 Convert -3 (base 13) to base 9. -3 Convert a (base 16) to base 9. 11 Convert -20c (base 13) to base 12. -252 Convert -1100100 (base 2) to base 11. -91 Convert 1310 (base 4) to base 13. 8c What is 43 (base 5) in base 4? 113 Convert 127 (base 12) to base 10. 175 -10111 (base 2) to base 13 -1a What is 4 (base 10) in base 12? 4 Convert -51 (base 11) to base 6. -132 What is 7d (base 16) in base 2? 1111101 Convert 24 (base 11) to base 16. 1a Convert b (base 13) to base 8. 13 What is -3 (base 11) in base 3? -10 Convert 110 (base 2) to base 14. 6 Convert -46 (base 14) to base 13. -4a Convert 0 (base 4) to base 12. 0 -210 (base 4) to base 7 -51 What is 80 (base 11) in base 14? 64 What is -1 (base 7) in base 5? -1 -7 (base 16) to base 2 -111 What is -6 (base 15) in base 4? -12 97 (base 15) to base 11 11a Convert -15 (base 10) to base 5. -30 Convert 0 (base 6) to base 8. 0 What is -c (base 14) in base 2? -1100 203 (base 4) to base 8 43 What is 5 (base 12) in base 15? 5 Convert 5 (base 9) to base 7. 5 Convert -a (base 14) to base 4. -22 0 (base 8) to base 10 0 133 (base 4) to base 2 11111 What is -1 (base 3) in base 2? -1 -13 (base 4) to base 2 -111 What is -7a (base 12) in base 8? -136 Convert 154 (base 6) to base 7. 130 -31 (base 15) to base 14 -34 -34 (base 11) to base 7 -52 Convert 1 (base 10) to base 15. 1 What is -67 (base 11) in base 5? -243 11 (base 4) to base 12 5 Convert -22 (base 12) to base 6. -42 Convert -1a (base 13) to base 7. -32 What is 1b0 (base 12) in base 7? 543 Convert -12 (base 15) to base 6. -25 What is -4 (base 6) in base 12? -4 30 (base 13) to base 4 213 10 (base 7) to base 5 12 1a (base 14) to base 16 18 What is 8 (base 15) in base 8? 10 Convert 1 (base 16) to base 8. 1 What is -414 (base 6) in base 14? -b0 Convert -1020 (base 3) to base 11. -30 What is 222 (base 4) in base 5? 132 Convert -10 (base 15) to base 2. -1111 12 (base 10) to base 3 110 What is 5 (base 8) in base 10? 5 74 (base 11) to base 3 10000 28 (base 15) to base 14 2a 65 (base 13) to base 11 76 -143 (base 10) to base 2 -10001111 -15 (base 14) to base 15 -14 Convert -1 (base 13) to base 5. -1 What is -65 (base 8) in base 4? -311 -107 (base 11) to base 4 -2000 Convert -11 (base 11) to base 10. -12 Convert -37 (base 9) to base 6. -54 2 (base 16) to base 15 2 What is -30 (base 11) in base 14? -25 Convert 1 (base 14) to base 13. 1 What is -86 (base 9) in base 14? -58 What is 0 (base 12) in base 7? 0 1 (base 15) to base 8 1 What is 4 (base 15) in base 5? 4 Convert 8 (base 16) to base 11. 8 Convert -6 (base 9) to base 5. -11 Convert -67 (base 8) to base 3. -2001 57 (base 10) to base 8 71 What is -102 (base 3) in base 12? -b 9 (base 15) to base 11 9 Convert -2 (base 14) to base 13. -2 Convert 17c (base 15) to base 2. 101010110 15 (base 6) to base 15 b Convert 1100 (base 3) to base 2. 100100 10 (base 8) to base 12 8 What is -2114 (base 5) in base 6? -1152 2 (base 11) to base 6 2 Convert -2111 (base 4) to base 8. -225 2 (base 6) to base 15 2 Convert -2 (base 9) to base 7. -2 Convert -373 (base 9) to base 16. -135 What is -7 (base 8) in base 7? -10 What is 45 (base 8) in base 11? 34 Convert 1102 (base 3) to base 13. 2c Convert -1 (base 9) to base 13. -1 163 (base 7) to base 9 114 Convert 13 (base 14) to base 6. 25 What is 4 (base 15) in base 4? 10 -1 (base 13) to base 6 -1 -d (base 15) to base 7 -16 -4 (base 10) to base 7 -4 Convert 191 (base 14) to base 13. 1bb 1 (base 7) to base 2 1 Convert -11010101 (base 2) to base 5. -1323 Convert 30 (base 4) to base 9. 13 -10 (base 6) to base 4 -12 What is 4 (base 6) in base 14? 4 Convert -3 (base 14) to base 16. -3 10 (base 3) to base 14 3 -52 (base 15) to base 10 -77 -6 (base 9) to base 3 -20 12 (base 7) to base 13 9 What is 23 (base 6) in base 13? 12 What is -1 (base 6) in base 7? -1 46 (base 10) to base 15 31 What is 4 (base 16) in base 14? 4 What is 38 (base 14) in base 2? 110010 What is 9 (base 10) in base 6? 13 What is -27 (base 10) in base 16? -1b -24 (base 8) to base 14 -16 What is 0 (base 3) in base 11? 0 Convert 7 (base 9) to base 13. 7 Convert 11111010 (base 2) to base 3. 100021 Convert -11 (base 4) to base 15. -5 What is 2 (base 4) in base 5? 2 36 (base 9) to base 15 23 Convert 22 (base 12) to base 11. 24 44 (base 8) to base 6 100 What is -10 (base 7) in base 14? -7 -2033 (base 4) to base 2 -10001111 What is -52 (base 6) in base 4? -200 What is 10 (base 7) in base 16? 7 What is 345 (base 8) in base 4? 3211 -69 (base 12) to base 9 -100 116 (base 7) to base 8 76 What is -5 (base 13) in base 14? -5 What is 12 (base 11) in base 8? 15 2 (base 12) to base 11 2 6 (base 14) to base 13 6 242 (base 6) to base 5 343 -2 (base 3) to base 15 -2 0 (base 8) to base 6 0 Convert 0 (base 10) to base 5. 0 -5 (base 8) to base 11 -5 33 (base 11) to base 4 210 77 (base 11) to base 14 60 What is 5 (base 9) in base 14? 5 Convert -10 (base 14) to base 2. -1110 -45 (base 7) to base 13 -27 8 (base 12) to base 14 8 What is -4 (base 15) in base 5? -4 -23 (base 15) to base 2 -100001 Convert -21 (base 11) to base 4. -113 c6 (base 13) to base 9 200 -72 (base 12) to base 6 -222 -261 (base 7) to base 10 -141 What is -2c (base 16) in base 2? -101100 Convert -4 (base 7) to base 2. -100 Convert -45 (base 13) to base 4. -321 Convert 0 (base 15) to base 9. 0 -69 (base 16) to base 11 -96 Convert -6 (base 15) to base 12. -6 What is 4 (base 7) in base 3? 11 What is 20 (base 3) in base 14? 6 What is -10 (base 10) in base 13? -a Convert 224 (base 5) to base 12. 54 What is -4 (base 13) in base 9? -4 Convert -10 (base 4) to base 5. -4 What is -5 (base 9) in base 4? -11 Convert 4 (base 15) to base 8. 4 What is -5 (base 10) in base 3? -12 0 (base 4) to base 11 0 Convert 1 (base 6) to base 14. 1 What is 0 (base 4) in base 12? 0 -36 (base 14) to base 15 -33 Convert -a1 (base 15) to base 11. -128 Convert 12 (base 4) to base 8. 6 Convert 0 (base 6) to base 11. 0 11011 (base 2) to base 5 102 Convert 17 (base 13) to base 8. 24 What is -6 (base 8) in base 10? -6 What is -67 (base 12) in base 8? -117 Convert -3 (base 10) to base 7. -3 What is 14 (base 8) in base 6? 20 What is 1 (base 13) in base 9? 1 -18 (base 13) to base 14 -17 Convert 64 (base 7) to base 15. 31 What is 200 (base 7) in base 6? 242 -5 (base 14) to base 4 -11 -55 (base 14) to base 4 -1023 4 (base 10) to base 16 4 -12 (base 9) to base 12 -b What is 10010 (base 2) in base 3? 200 What is -4 (base 8) in base 3? -11 What is -2 (base 8) in base 2? -10 What is -101101 (base 2) in base 6? -113 Convert -29 (base 11) to base 15. -21 -40 (base 14) to base 7 -110 Convert 45 (base 6) to base 16. 1d Convert -113 (base 12) to base 15. -a9 3 (base 15) to
{ "pile_set_name": "DM Mathematics" }
4*h = -4*j. Let a(d) = 4*d**3 - d**2 + 1. Let p be a(1). Suppose -9900 = -j*s + p*s. What is s rounded to the nearest 10000? -10000 Let b be (-10)/5*245522*39/12. Let l = 2665893 + b. Round l to the nearest one million. 1000000 Let v = -796195 - -796321.99568. Let m = -4.3 + 131.3. Let w = m - v. Round w to four dps. 0.0043 Let h = 1148 + -2001.9. Round h to the nearest 10. -850 Let h = -1522 - -1674.6. Let x = h + -121. What is x rounded to the nearest integer? 32 Let x = -2019426 + 2019661.60639. Let y = -135.60588 + x. Let n = y - 100. What is n rounded to four dps? 0.0005 Let h = -11273.451558888 + 12304.45155801. Let t = h - 1031. What is t rounded to seven dps? -0.0000009 Let h = 7379299.532 - 7379303.632000263. Let f = h + 4.1. Round f to 7 dps. -0.0000003 Let i = 361.67 + -359. Let k = -2.6376 + i. What is k rounded to 2 dps? 0.03 Let d = -19 + 19.072. Let a = 9871.128 - 9890. Let n = d + a. What is n rounded to zero decimal places? -19 Let a = 250 - 249.76. Let i = a - -0.088. Round i to 1 decimal place. 0.3 Let s = 143 - 121.4. Let z = s + -21.6000546. What is z rounded to 5 decimal places? -0.00005 Suppose 0 = 633*i - 539*i - 10246940. What is i rounded to the nearest one hundred? 109000 Suppose 0*m + 2*m = -2*y + 18, 21 = 2*y + 3*m. Suppose y*d + 14510 = 1694. Round d to the nearest 100. -2100 Let a = 2263.4 + -1800. Let g = a + -475. What is g rounded to the nearest 10? -10 Let x = -102.5936 - 0.0064. Let w = 10.9 - -86.1. Let c = x + w. Round c to 0 decimal places. -6 Let h = -6332 - -6334.714. Round h to the nearest integer. 3 Let m = 58860755 + -58861043.92013. Let b = 288.9 + m. Round b to 2 decimal places. -0.02 Let b = 567.7 + -567.70000011751. Round b to 7 dps. -0.0000001 Let u = 5547 - 5547.0000000566. Round u to six dps. 0 Let d = 613.3 + -613.299999011. What is d rounded to seven decimal places? 0.000001 Let o(f) = 1062*f - 1. Let j be o(-3). Suppose 9*r = 22*r - 5*r - 13576. Let y = r + j. What is y rounded to the nearest one hundred? -1500 Let n(d) = 9688*d**2 + 8*d + 5338*d**2 - 916*d**2 - 3*d - 1909*d**2. Let a be n(-5). What is a rounded to the nearest 10000? 310000 Let a = 129 + -191. Let i = a - -65.1. What is i rounded to the nearest ten? 0 Let h = 36 + -36.007. Let t = 0.022 - h. Let d = -0.02899845 + t. Round d to 7 decimal places. 0.0000016 Let v = -2257 - -2254.653. Let d = v + -10.123. Let c = -12 - d. Round c to one dp. 0.5 Let w = -0.433 - 662.567. Let j = 663.162 + w. Round j to one dp. 0.2 Let r(y) = -1231*y**3 - 4*y**2 + 4*y + 16. Let d = 1 - -31. Suppose 29*x + d = 25*x. Let c be r(x). What is c rounded to the nearest one hundred thousand? 600000 Let l = 0.93 - -0.31. Let z = 27461.199 + -27459.95899921. Let c = z - l. What is c rounded to 7 dps? 0.0000008 Let c(d) = 3*d**2 - 19*d + 9. Let k be c(6). Let j be (-14117948)/520 - ((-3)/(-10))/k. What is j rounded to the nearest 1000? -27000 Let n = 133.39019337 - 133.39. Round n to 4 dps. 0.0002 Let j = 27.04167 - 31.755281. Let l = j - -4.716. What is l rounded to 4 decimal places? 0.0024 Let r(v) = -142730*v - 760. Let k be r(8). Round k to the nearest 100000. -1100000 Let i = 78 + -259. Let h = i + 180.579. Let v = 0.101 + h. What is v rounded to one dp? -0.3 Let a = -1445 + 905. Let n = a - -540.1066. Round n to two decimal places. 0.11 Let r = -3.09 - -2.796. Let p = r - -0.2. Round p to two dps. -0.09 Let o(d) = d**2 - 25*d + 21. Let x be o(16). Let m be x/(-12) - ((-33)/12 + 3). Suppose 0*w - m*w = 2750000. Round w to the nearest ten thousand. -280000 Let m = 624398.62000127 - 624398.3. Let z = m - 0.32. Round z to 7 dps. 0.0000013 Let d = 109540 - -98694. Suppose 37012 - 214144 = -2*n. Suppose 0 = -8*v + d + n. What is v rounded to the nearest 1000? 37000 Suppose 9 = -5*m + 2*z, 5*m + 3*z + 2 = 3. Let w(d) = 41500*d**3 - 4*d**2 - 4*d. Let v be w(m). Round v to the nearest 10000. -40000 Let t = 3 + -37. Let u = t - -33.999942. Round u to 4 decimal places. -0.0001 Let d(l) = 0 - 12*l - 2*l - 25 + 9*l + 2098*l**2. Let g be d(5). Round g to the nearest ten thousand. 50000 Let m be 2/(-12)*1 - (-104064001)/6. Suppose -6*v + m = 2*v. Round v to the nearest 100000. 2200000 Let n = 150.3 + -1587.3. Let o = -1437.000611 - n. Round o to 4 dps. -0.0006 Let n = 15534.21869 - 15172.2187226. Let r = n - 362. Round r to six dps. -0.000033 Let m = -1407.713 - -1353.19. Let o = -58.54 - m. Let q = o - -4. What is q rounded to two decimal places? -0.02 Suppose -4*t = -7*t - 174. Let z = t + -2073. Let x = z - -301. What is x rounded to the nearest 100? -1800 Let h = 123644 + -118115.3. Round h to the nearest one hundred. 5500 Let j = 63.66 + 0.34. Let i = j - 63.9903. Round i to 3 dps. 0.01 Let g = -1.9589 + 2.909. What is g rounded to one dp? 1 Let i be 1 + -4 + 2 - ((1361977 - -13) + 9). Round i to the nearest one million. -1000000 Let i = 528 - 526. Suppose -3*c + 8 = c. Suppose 7*o - i*h - 15000008 = c*o, 4*h + 3000016 = o. Round o to the nearest one million. 3000000 Let m(y) = -6*y**3 - 12*y**2 + 19*y - 27. Let p be m(-17). Round p to the nearest ten thousand. 30000 Let x = 760733.0588 + -760915. Let q = x + 182. Round q to 3 decimal places. 0.059 Let z be (-92003)/(-6) + 5/30. Let m = z + -22134. What is m rounded to the nearest 1000? -7000 Let j = 6.4 - 6.7. Let n = j - 11.3. Let g = 11.5888 + n. Round g to three dps. -0.011 Let r = 185 - 167. Let i be (1 + -451)/(r/20280). Round i to the nearest ten thousand. -510000 Let f = 733.2 + -831. Let i = -64 - f. Round i to 0 dps. 34 Let r(p) = -57*p**3 - 23*p. Let t be r(-11). Suppose 2*u - t = 40676. Suppose 2*j = -5*g - 109998, u = -2*g - j + 14399. Round g to the nearest ten thousand. -20000 Let t = -1531 - -1609.7135. Let u = -78.7 + t. What is u rounded to two dps? 0.01 Let x(n) = 252*n**3 + 10*n**2 + 20*n - 57. Let c be x(3). Round c to the nearest one hundred. 6900 Let w = -23.1 - -4.1. Let o = -143169566.99999925 - -143169586. Let g = o + w. What is g rounded to 7 dps? 0.0000008 Let j = 0.042298 + -0.01146. What is j rounded to 2 dps? 0.03 Let o = 0.074 - 272.774. Let s = o - -69.8. What is s rounded to the nearest 10? -200 Let t = -10.1 - -10. Let y = t - 5. Let x = -5.10000142 - y. Round x to 7 dps. -0.0000014 Let h = -5.5406662 - -5.5464. What is h rounded to 4 dps? 0.0057 Let l(i) = 13424*i - 108. Let d be l(-3). Round d to the nearest 10000. -40000 Let w = -223 - -261.1. Let b = w + -37.662. What is b rounded to 1 dp? 0.4 Let c(b) = 907*b - 5779729 - 20333324 - 904*b + 4223053. Let u be c(0). Round u to the nearest 1000000. -22000000 Let i = -85.61089 - -85.5. Round i to 3 dps. -0.111 Let w = 40522 + -40518.3689. What is w rounded to 1 dp? 3.6 Suppose -n + 27 + 1 = 4*q, -n + 21 = 3*q. Suppose -q*t + 74 + 101 = 0. Let w = t + 445. What is w rounded to the nearest 100? 500 Let x = -123.4 - -220.5. Let a = -97.097598 + x. Round a to 4 decimal places. 0.0024 Let p = -14694 + 13514. What is p rounded to the nearest 1000? -1000 Let k = 103476.9938757 + -103477. Round k to three dps. -0.006 Let q(n) = 2*n**3 - 66*n**2 + 303*n - 145. Let k be q(65). Round k to the nearest 10000. 290000 Let z = 84192 - -90224. Suppose z = 3*s - 1180. Let d = s - 91532. What is d rounded to the nearest ten thousand? -30000 Let j = 65929.99962533 - 65930. Round j to 5 dps. -0.00037 Let n = -70 + 124. Let v = n + -53.9999827. Round v to five dps. 0.00002 Let m = -915578 + 915517.99538. Let a = m + 60. What is a rounded to 3 dps? -0.005 Let u = -30240.014203 - -30240. Round u to three decimal places. -0.014 Let h = 14058.1 - 14058.099905163. What is h rounded to six decimal places? 0.000095 Let z = -45246.000018783 - -45246. What is z rounded to six decimal places? -0.000019 Let d = 1.387474 - 1.4177. Round d to 3 decimal places. -0.03 Let w(o) = -3*o**2 + o. Let a be w(1). Let x(h) = -94*h. Let p be x(a). Suppose -2*i - 300 = -5*b - 7*i, i + p = 3*b. What is b rounded to the nearest ten? 60 Let d = 3711.9 - 3387. What is d rounded to the nearest integer? 325 Let u = 575 - 563. Suppose 3*h + u = 0, 4*k - 5*h + 9424 + 45276 = 0. What is k rounded to the nearest 1000? -14000 Let j = 75215 - 75214.864996. What is j rounded to two decimal places? 0.14 Let t(b) = -b - 6 + 12 + 4. Let z be t(4). Suppose 3*i = z*i + 939. Round i to
{ "pile_set_name": "DM Mathematics" }
ent from {i: 3, b: 8, h: 7}. 7/102 Two letters picked without replacement from merekrrwrw. What is prob of sequence km? 1/90 Three letters picked without replacement from {a: 3, z: 13}. What is prob of sequence zza? 39/280 Four letters picked without replacement from {d: 7, r: 2}. What is prob of sequence rdrd? 1/36 What is prob of sequence xxz when three letters picked without replacement from {x: 2, z: 2}? 1/6 Calculate prob of sequence hkk when three letters picked without replacement from {r: 1, y: 5, g: 4, j: 3, h: 2, k: 5}. 1/171 Calculate prob of sequence uo when two letters picked without replacement from {y: 3, c: 1, z: 1, u: 3, o: 1, l: 2}. 3/110 What is prob of sequence koo when three letters picked without replacement from kloottottt? 1/120 Calculate prob of sequence hlg when three letters picked without replacement from gglllhhghhl. 8/165 Three letters picked without replacement from {d: 2, l: 7, r: 3}. Give prob of sequence dlr. 7/220 Three letters picked without replacement from {c: 6, t: 2, u: 1, j: 3}. What is prob of sequence cuc? 1/44 Calculate prob of sequence vg when two letters picked without replacement from {o: 4, g: 2, v: 8}. 8/91 What is prob of sequence athm when four letters picked without replacement from atatmhmaathahtttt? 1/272 Two letters picked without replacement from lgnnnnnggnglnini. What is prob of sequence in? 1/15 What is prob of sequence mj when two letters picked without replacement from jjwvogmv? 1/28 Calculate prob of sequence ef when two letters picked without replacement from {e: 1, f: 5, m: 1, w: 4, x: 1}. 5/132 Four letters picked without replacement from {f: 3, e: 4}. Give prob of sequence eeef. 3/35 What is prob of sequence gogo when four letters picked without replacement from {o: 5, g: 2}? 1/21 Three letters picked without replacement from eeoemmm. What is prob of sequence eoe? 1/35 Three letters picked without replacement from tstsffft. What is prob of sequence sst? 1/56 Four letters picked without replacement from {s: 4, f: 8, m: 8}. Give prob of sequence ssms. 8/4845 Two letters picked without replacement from {w: 4, g: 1, a: 6}. Give prob of sequence aa. 3/11 Calculate prob of sequence vrrr when four letters picked without replacement from {r: 5, v: 7, o: 2}. 5/286 Four letters picked without replacement from uaguvggg. What is prob of sequence uvgu? 1/210 Four letters picked without replacement from {p: 1, f: 5, q: 1, c: 4, k: 5}. What is prob of sequence cckf? 5/728 What is prob of sequence rr when two letters picked without replacement from {y: 7, r: 5}? 5/33 Calculate prob of sequence fjh when three letters picked without replacement from jhhtfhtehtthmtftfjft. 1/171 Four letters picked without replacement from bbbbvbbvpbmp. What is prob of sequence bpmb? 7/990 Calculate prob of sequence ovvx when four letters picked without replacement from voxvxxxvxxavxvvxvx. 7/1360 Two letters picked without replacement from zrzzzzzr. What is prob of sequence zz? 15/28 Two letters picked without replacement from {z: 3, q: 1, a: 4, u: 3}. What is prob of sequence aa? 6/55 Two letters picked without replacement from {n: 1, v: 2}. What is prob of sequence vv? 1/3 Two letters picked without replacement from {c: 4, l: 10}. Give prob of sequence lc. 20/91 Three letters picked without replacement from ueuefeeeeeewfwu. Give prob of sequence fuw. 2/455 What is prob of sequence acga when four letters picked without replacement from gaccagcmaamc? 4/495 What is prob of sequence yyyy when four letters picked without replacement from {t: 4, y: 7}? 7/66 Three letters picked without replacement from {h: 12, v: 3}. What is prob of sequence vvv? 1/455 Three letters picked without replacement from {j: 6, u: 1, p: 10}. Give prob of sequence juj. 1/136 Calculate prob of sequence lo when two letters picked without replacement from {o: 1, l: 2, s: 1, t: 1, m: 1, z: 1}. 1/21 Three letters picked without replacement from {x: 3, o: 3, f: 1, l: 1, b: 2, u: 1}. What is prob of sequence ubl? 1/495 What is prob of sequence aga when three letters picked without replacement from {r: 2, z: 2, e: 2, a: 3, g: 5, h: 2}? 1/112 What is prob of sequence rziz when four letters picked without replacement from rzrziwiwiiiiwiiizri? 5/2584 What is prob of sequence aavv when four letters picked without replacement from vavvvvvaav? 1/20 Two letters picked without replacement from {s: 4, v: 1, g: 1, x: 4}. Give prob of sequence ss. 2/15 What is prob of sequence kkk when three letters picked without replacement from {k: 3, t: 1}? 1/4 Three letters picked without replacement from tjojjjttwoooofojy. Give prob of sequence wjy. 1/816 Three letters picked without replacement from vzfdlzp. What is prob of sequence lzf? 1/105 What is prob of sequence pr when two letters picked without replacement from spprsrrsrsrprr? 3/26 Two letters picked without replacement from pprppprrprp. Give prob of sequence rp. 14/55 Two letters picked without replacement from gmgimmgbizf. What is prob of sequence zb? 1/110 What is prob of sequence eaes when four letters picked without replacement from ajaejhaejasejje? 2/1365 Calculate prob of sequence vfe when three letters picked without replacement from {f: 1, r: 2, v: 1, e: 1}. 1/60 Two letters picked without replacement from {j: 2, g: 6, w: 3, u: 4}. Give prob of sequence wg. 3/35 Calculate prob of sequence nfn when three letters picked without replacement from dndngnnngnfnn. 14/429 What is prob of sequence zii when three letters picked without replacement from {i: 17, z: 2}? 16/171 Calculate prob of sequence puup when four letters picked without replacement from uptuuttpuupuuttp. 3/260 Two letters picked without replacement from ahahddaaa. Give prob of sequence hh. 1/36 Three letters picked without replacement from {w: 1, h: 1, y: 1, x: 9}. Give prob of sequence why. 1/1320 What is prob of sequence nc when two letters picked without replacement from {n: 7, c: 12}? 14/57 Calculate prob of sequence wwa when three letters picked without replacement from {w: 1, a: 7}. 0 What is prob of sequence sfy when three letters picked without replacement from {v: 1, s: 1, f: 1, x: 1, y: 1}? 1/60 What is prob of sequence shs when three letters picked without replacement from {h: 1, s: 12}? 1/13 What is prob of sequence xx when two letters picked without replacement from lpxllxlx? 3/28 What is prob of sequence oyrl when four letters picked without replacement from llolrrrroroy? 1/264 What is prob of sequence fsf when three letters picked without replacement from ffffffsfffffffsfsf? 35/272 Four letters picked without replacement from {o: 4, n: 4, g: 2, m: 1, i: 3}. What is prob of sequence gnmo? 4/3003 Four letters picked without replacement from {g: 2, v: 1, y: 9, z: 1}. Give prob of sequence gvgz. 1/8580 Two letters picked without replacement from lfhmmhlfmmhflhyhlm. What is prob of sequence hy? 5/306 What is prob of sequence nnnv when four letters picked without replacement from {n: 6, v: 6}? 2/33 Two letters picked without replacement from rrrrerrrbrreb. Give prob of sequence br. 3/26 Two letters picked without replacement from jdkdn. What is prob of sequence dk? 1/10 What is prob of sequence gg when two letters picked without replacement from {d: 5, g: 4, t: 2, m: 4, x: 1}? 1/20 What is prob of sequence et when two letters picked without replacement from {t: 1, w: 1, z: 1, l: 1, e: 1}? 1/20 What is prob of sequence vvv when three letters picked without replacement from {v: 3, z: 12}? 1/455 What is prob of sequence prw when three letters picked without replacement from {w: 3, h: 2, r: 3, q: 5, s: 1, p: 1}? 3/910 Two letters picked without replacement from {m: 3, w: 1, a: 1, t: 2}. What is prob of sequence at? 1/21 What is prob of sequence clc when three letters picked without replacement from uvdvnlcc? 1/168 Calculate prob of sequence ilr when three letters picked without replacement from ixilirxrxix. 4/495 What is prob of sequence wsfc when four letters picked without replacement from {c: 3, w: 2, s: 1, f: 6}? 1/330 Three letters picked without replacement from ngqbngagnzaqnz. Give prob of sequence aba. 1/1092 Four letters picked without replacement from jjfyfffffzffzfffjfc. Give prob of sequence cyjj. 1/15504 Three letters picked
{ "pile_set_name": "DM Mathematics" }
))/(y*y*y**(-5/8)) assuming y is positive. y**(11163/440) Simplify (w/(((w*w**(3/2))/w*w)/w)*w**(2/11)*w*w*(w*w*(w*((w*w**1)/w)/w*w*w)/w*w)**(-39))**(46/3) assuming w is positive. w**(-97819/33) Simplify (g/g**2)**(-2/7)/(g*g**(1/4))**(-1/41) assuming g is positive. g**(363/1148) Simplify ((c/c**(-1/5)*c)/c)**(-45)/(c**3*c*c/(c*c/(c**10*c*c))) assuming c is positive. c**(-69) Simplify (p/p**(1/8)*p**13/p*p*p)/(p**13/(p/p**(5/4))) assuming p is positive. p**(13/8) Simplify (i**(1/5)*i/(i/(i**(1/2)/i)*i))/(i**14)**(4/11) assuming i is positive. i**(-703/110) Simplify d/(d/(d/(d**(-8)/d)))*d*((d/(d*d*d*d**12*d))/d)/d*d*d**(1/10)/d*d**(-12) assuming d is positive. d**(-179/10) Simplify (j**10*j**(5/6))/(j**(-2/7)/j)**14 assuming j is positive. j**(173/6) Simplify (l**(-5/6)/(l**(-4/11)*l))/(l**13/(l**(1/2)/l)) assuming l is positive. l**(-494/33) Simplify ((z*z**(-4)/z)/z**2*z*(z/((z*z/z**(-3)*z)/z))/z*z*z**(-2/9))**(-1) assuming z is positive. z**(83/9) Simplify ((t/(t**(-12)*t)*t)**48)**48 assuming t is positive. t**29952 Simplify (v**(2/13)/v*v*v**(-3/13))/(v/(v**(-1/16)*v))**(-12/11) assuming v is positive. v**(-5/572) Simplify ((r**2)**(1/42)*r**(-8)/((r*r**(7/6))/r*r))**(-2/11) assuming r is positive. r**(425/231) Simplify (((r**(-1/3))**13)**(-2/21))**(-11/3) assuming r is positive. r**(-286/189) Simplify (((l/l**1)/l)**(3/14)*(l**(-3/4)/l*l)/(l**6/l))**22 assuming l is positive. l**(-1837/14) Simplify ((f**(-1/14)/f**(-6))/(f**(2/5)/f**9))**(-42) assuming f is positive. f**(-3051/5) Simplify f/((f**22/f*f)/f)*f**(-1/12)*f**(-2/5)*f*(f/(f*f/f**10*f))/f*f assuming f is positive. f**(-689/60) Simplify (k*k/(k*k/k**(12/7)*k*k))**49*k**21/(k/((k/(k/((k/(k*k*k**10*k))/k))*k)/k*k)) assuming k is positive. k**(-6) Simplify ((v**6*v*v*v/(v**(1/2)/v))/(v**(-1)/(v*v**(1/4)/v)))**(1/6) assuming v is positive. v**(43/24) Simplify y**24*y**30*((y/(y*y*y/y**(-15)))/y)**14 assuming y is positive. y**(-198) Simplify (((j*j**1)/j**(-8))/((j/(j**(-5)*j))/j**(-1/2)))**(-15/4) assuming j is positive. j**(-135/8) Simplify (s*s/(s*s**(2/3)*s))/s**12*s**2*s**0/s assuming s is positive. s**(-35/3) Simplify ((f/f**15)/f*f/f**12)/(f**(-2))**(-1/27) assuming f is positive. f**(-704/27) Simplify ((d**1*d)**50*(d**1*d)/d**3)**39 assuming d is positive. d**3861 Simplify (q**(-1/3))**(8/11)/((q*q*(q/(q/(q*q/(q*q**5)*q)))/q*q)/q)**(-43) assuming q is positive. q**(-2846/33) Simplify (v*v*v/v**(-7/5)*v/(v**(-1/4)*v)*v)/(v**(2/9))**(-12/13) assuming v is positive. v**(4567/780) Simplify (a*a*(a/(a*a**(-3/5)*a))/a)**(-4/13)*a*a**(-20)*a*a**(-29) assuming a is positive. a**(-3067/65) Simplify (q**(15/2)*q**(-2/3))/(q**(-2/15))**11 assuming q is positive. q**(83/10) Simplify o/(o*(o*o*(o/o**(-14))/o*o)/o)*o**(3/13)*(o**0/o)/(o/(o/(o/((o/o**(-1/15))/o)))) assuming o is positive. o**(-3452/195) Simplify ((h*h**(-3/8)*h*h*h**(-6/5))**(1/7))**(-2/17) assuming h is positive. h**(-57/2380) Simplify (a**(-11/3)/(a**(2/5)/a))/(a**(11/2)/a)**(-19) assuming a is positive. a**(2473/30) Simplify (p**(-3))**(-12)*(p**(2/3))**10 assuming p is positive. p**(128/3) Simplify (o**1)**(-38)*(o*o/o**(-6))/o*o*o*o*o/((o*(o**(-8)/o)/o)/o)*o assuming o is positive. o**(-16) Simplify ((u**(1/5)/u*u)/u)/(u**(5/9)/u)*u**1/u*u*(u/u**(4/5))/u assuming u is positive. u**(-7/45) Simplify n/((n/(n/n**(-9))*n)/n)*n**7*n*n/(n/n**(1/13))*n/(n*n/(n*(n/(n*(n*n/((n**(-2/5)*n)/n*n))/n))/n)) assuming n is positive. n**(1084/65) Simplify (z*z*z/(z/(z*z**(-1/9)))*z)**(-1/19)*z**6*z*z**6*z assuming z is positive. z**(2359/171) Simplify ((n**(-1/4)/n**(-1/4))**(-4/17))**(-2/3) assuming n is positive. 1 Simplify (a**(-8))**(-36)/((a*a/a**(2/73))/(a/(a**(2/25)/a))) assuming a is positive. a**(525504/1825) Simplify i*i**(-4/21)*i/i**(-1)*(i**(-1/20))**(-42) assuming i is positive. i**(1031/210) Simplify (w**2*w*w*w*w*w/(w*w*w/(w*w**(-17))*w*w))/(w**(3/4))**(-1/46) assuming w is positive. w**(-2573/184) Simplify (p/p**(-1/5)*p)**(2/173)/((p/p**(-10)*p)/p**(-14)) assuming p is positive. p**(-22468/865) Simplify (k**(-3))**(-47)/(k**(-2)*k**(-8)) assuming k is positive. k**151 Simplify (s/(s/(s/((s/(s*s**0*s))/s)*s))*s**(3/10)/s*((s**(-1)*s)/s*s)**(3/2))**(-11/6) assuming s is positive. s**(-121/20) Simplify (r**(2/21)/r**(-7))/(r*r*r**(1/5)*r)**32 assuming r is positive. r**(-10007/105) Simplify g**7/(g*g**(-25))*g*g**30*g*g**(-1/21) assuming g is positive. g**(1322/21) Simplify (((t/(t**(2/139)/t)*t)/t)/t*t**(-23))/((t/(((t/((t**20/t)/t))/t*t)/t)*t)/(t*t/(t*t**(-28)))) assuming t is positive. t**(-1809/139) Simplify ((q*q**(1/2))**(-1/2)/(q**5/(q*q**6/q)))**(-2/5) assuming q is positive. q**(-1/10) Simplify (((a/a**10)**(1/20))**9)**(10/3) assuming a is positive. a**(-27/2) Simplify r/(r/r**(13/3))*r*r/(r/r**(-3/5))*r**(-9)*r**(21/4)*r*r assuming r is positive. r**(179/60) Simplify ((a**(-2/5))**46*a**(-4)*(a/a**2)/a)**27 assuming a is positive. a**(-3294/5) Simplify (w**(3/5)/w)**36*w/(w*w/(w**(-3/2)/w*w)*w)*w**(-1) assuming w is positive. w**(-189/10) Simplify ((y**(14/5)/y)/y)/y**(1/8)*y**(-2/7)/y*y*y**(-1/8) assuming y is positive. y**(37/140) Simplify y/(y*y*y**(7/3)*y)*(y*y**(-1/31))/y*((y*y/y**(-3/2)*y*y)/y*y)**(-32) assuming y is positive. y**(-16774/93) Simplify i**24*(i*i**(-7/6)*i)/i*i*((i*i/i**(3/34))/i)/i**(-2/69) assuming i is positive. i**(30233/1173) Simplify (s*s/(s*s**(2/7)/s)*s**5*s**(-13)/(s/s**(2/11)))**(16/7) assuming s is positive. s**(-8752/539) Simplify (r*r**(-1/23))/(r*r*r**11)*(r/(r*r**(-12)*r)*r)/(r**8*r) assuming r is positive. r**(-208/23) Simplify (y*y/y**(5/4)*y)**(-46)*(y**(-4))**(3/44) assuming y is positive. y**(-1777/22) Simplify (o/o**(-1/2)*o)/(o*o**10*o)*o*o**(-1/2)*o*o*o**(-3/4)*o assuming o is positive. o**(-27/4) Simplify g**(2/21)*g*g*g/(g*g**(-7/4))*(g*g**19)/((g**(-20)/g)/g) assuming g is positive. g**(3851/84) Simplify (p/p**(3/8)*p/((p*p*p**4)/p)*p*p/(p/(p/p**(-2/9)))*(p*p**(-1/3)*p)/p)**(-9/14) assuming p is positive. p**(5/16) Simplify (i*(i**(-4/7)*i)/i*i**(2/15)*i)/(i*i**(-4)/i*i*i/(i/(i/((((i**11/i)/i)/i)/i)))) assuming i is positive. i**(1109/105) Simplify ((k/(k/(k**11/k)))/k**10)/(k/(k*k/(k/(k**(-3/7)/k)))*k*k)**(-6) assuming k is positive. k**(144/7) Simplify l**(-25)*l*l/(l**(4/19)/l)*(l*l/(l**(-2/55)/l))**(-21/2) assuming l is positive. l**(-113053/2090) Simplify (x/x**(3/5)*x**(-7))/(x**(-2/9)/x**(2/3)) assuming x is positive. x**(-257/45) Simplify (s*s*(s*s**(4/7)*s)/s*s)**(1/2)/(s**(3/11)/s**(-13)) assuming s is positive. s**(-846/77) Simplify (x**(-2)*x/(x/(x*(x**6/x)/x*x)))/(x**(-2/11)*x/x**(-10)) assuming x is positive. x**(-75/11) Simplify ((m*m*m*m/(m/m**(-3/7))*m*m**(-3/2))/((m*m**4)/(m**1*m*m)))**43 assuming m is positive. m**(43/14) Simplify (v*v**(3/14)*v/((v*v**(-1/4))/v))/((v**(2/7)/v)/v*v**(-9/5)) assuming v is positive. v**(837/140) Simplify ((v*(v**(-2/3)/v)/v*v)/(v/v**(-5)*v)*(v/((v/(v*v**(2/3)/v*v))/v))/((v*v**(-2))/v*v))**1 assuming v is positive. v**(-4) Simplify (w/(w/w**(-2/9))*w*w**11)/(((w/w**(-1/3))/w)/(w/(w/(w*w/(w/(w**(2/17)/w*w)))))) assuming w is positive. w**(1922/153) Simplify (z*((z*z/z**(-24)*z*z)/z)/z*z*z*z*z**(-2/87))/(z**(-4))**(-4/33) assuming z is positive. z**(9408/319) Simplify (w**(1/19)/w**(6/11))/(w**(-12)/w*(w**(-6)*w)/w*w) assuming w is positive. w**(3659/209) Simplify (r*r/r**(-3))**(-6)/(r**(4/13)/((r/(r/(r/((r/(r/r**(-2/21)))/r))))/r)) assuming r is positive. r**(-7975/273) Simplify ((v**(1/10)*v*v)/(v*v**8))/(v**(-11)*v/v**6) assuming v is positive. v**(91/10) Simplify (m**3*m**11)/(m**1*m**(1/11)/m) assuming m is positive. m**(153/11) Simplify y**(-2)*y**(7/3)*(y*y**(-5))/y*y/(y*y/((y*y*(y*y**(-5))/y)/y)) assuming y is positive. y**(-29/3) Simplify (j/(j*((j**(1/7)*j)/j)/j*j*j))**(-5/18)/(j**3/(j*j/(j/(j*j**(-12)/j*j))*j*j)) assuming j is positive. j**(-673/63) Simplify (w**0)**(25/2)/(w/w**(1/6))**(1/3) assuming w is positive. w**(-5/18) Simplify ((g/g**(-22))/(g*g**(-1/3)))/((g*g*(g**22/g)/g*g*g)/g**(-24)) assuming g is positive. g**(-77/3) Simplify ((x/((x**27*x)/x))/x*x*x**(-2/27))**(1/6) assuming x is positive. x**(-352/81) Simplify (m/(m*m**(-8)))**(-7/9)*m**(1/8)*m*m**24 assuming m is positive. m**(1361/72) Simplify h*h/h**(-8)*h/h**(-7)*h**(1/11)/(h/(h*h*h**(2/5))) assuming h is positive. h**(1072/55)
{ "pile_set_name": "DM Mathematics" }
(f) -3 d What is the second biggest value in 3/4, 0.1, 0, 1290661? 3/4 What is the third smallest value in 2/3, -8.6, 1/6, -167, -0.2, -0.1, -1? -1 What is the sixth smallest value in 1/3, 9/7, -1, 8, -4/3, 0.247? 8 What is the smallest value in -14, -1/5, 1/17, 1/2, 9, 0.11? -14 What is the third biggest value in -119, 1.8, -2, -8, 0.064? -2 What is the fourth biggest value in -692.17, -5, -2/7, -1.35? -692.17 Which is the fifth biggest value? (a) -12/11 (b) -115 (c) -5 (d) 1.1 (e) 7 b What is the sixth smallest value in 1/2, 4, 5, -0.4, -72/7, -28, -3/5? 4 What is the third biggest value in 22, 23, 1/10, -2.45, -3, 2/19? 2/19 What is the second smallest value in 1/2, -1/107, 1, 312785, 4? 1/2 What is the smallest value in -22723, -8.18, -4? -22723 What is the fourth smallest value in -2/5, 4/67, 26, 15, -30? 15 What is the second smallest value in 0.5, -0.3479, -31/7? -0.3479 Which is the seventh biggest value? (a) 2 (b) 3 (c) -7/19 (d) 7 (e) 3/7 (f) -1/3 (g) 0.4 c What is the sixth smallest value in 54/25, -0.2, 30, 8, -3, 0.1, -4? 8 Which is the third biggest value? (a) -3/25 (b) 703 (c) 247 a What is the third biggest value in -3, 14069.73, -2? -3 What is the second biggest value in 125.492, -4, 1, -11? 1 What is the second smallest value in -0.1, -43, 2/25, -0.074, 6/71? -0.1 Which is the fourth biggest value? (a) -14320 (b) 0 (c) 34 (d) 1.7 a What is the smallest value in -964, 13, 0.2, -2, 2/7, -3, -4/5? -964 Which is the sixth biggest value? (a) -7 (b) 1 (c) 0.4 (d) 0.2 (e) -180 (f) 7 e What is the third biggest value in -8.82, -4, -3, 9, 0.5? -3 Which is the biggest value? (a) 5 (b) -12806200 (c) -4 a Which is the smallest value? (a) -5/3 (b) 0.3 (c) -2/3 (d) -3/2 (e) -3 (f) -120372/5 f What is the sixth smallest value in 2, -373/4, -3, 73, 0, 0.3, -5? 2 What is the third biggest value in -273, 2, 5, 5/18, -5, -11? 5/18 What is the second biggest value in 478, 5, -2020/133? 5 What is the second biggest value in 173, -40, -6, 306/13? 306/13 Which is the third biggest value? (a) 2.3 (b) 911202 (c) -2 (d) 5/4 d What is the second smallest value in -0.1, -4, -65.424, -1/5, 33? -4 Which is the third smallest value? (a) -3/5 (b) 21 (c) 2 (d) -67 (e) 2/19 (f) -0.5 (g) 0.6 f Which is the sixth biggest value? (a) 1 (b) -3 (c) -0.04 (d) 10 (e) 0.67 (f) 1205 (g) 2 c Which is the fifth biggest value? (a) 21.43 (b) -0.5 (c) 5 (d) 6/35 (e) -1.6 e What is the fourth biggest value in 0.5, 10, -9.3, -4, 1, 2/11? 2/11 What is the smallest value in 1152044, -1, -3, -5? -5 What is the sixth biggest value in -2, 3, 5/43, 2/21, 1/32, 1? -2 What is the fifth biggest value in -1, -0.08, -3, -24.6, -3/2, -532? -24.6 What is the fifth biggest value in 16, -0.2, -1/14, 2, 17, 3? -1/14 What is the fourth smallest value in 2, -3, -56, 643, -0.1? 2 What is the biggest value in 12, 0.489029, 20? 20 Which is the fourth smallest value? (a) -952 (b) 1/6 (c) -5 (d) 71518 d Which is the sixth biggest value? (a) -5 (b) -1 (c) 2/23 (d) 1 (e) -2/21 (f) 0.699 (g) 5 b Which is the fourth biggest value? (a) -0.1 (b) 3 (c) -1.4 (d) 1.6 (e) 0.104 (f) 4 e Which is the fourth smallest value? (a) 7 (b) -155 (c) 2223 (d) -2 c Which is the biggest value? (a) -1 (b) 2/227 (c) -4.1 (d) -1/14 (e) 1/7 e What is the biggest value in -2/3, 2/7, 1/2, 76, 49, -2? 76 What is the third smallest value in -2/13447899, 4, 4/7, 0.2? 4/7 What is the third smallest value in -4/7, -1, -1/14, -5, 1/14485? -4/7 What is the smallest value in 5, -3/2, -14, 13.07, 752? -14 What is the smallest value in -3, 0, -2/35, -18819? -18819 What is the fourth biggest value in 1/6, 3, -1.1, 0, 2/5, 11? 1/6 What is the smallest value in -3/5, 39509, -15? -15 What is the second smallest value in -30/29, 546, -14? -30/29 What is the second smallest value in -2.1757, 0.24, 0.9? 0.24 What is the third biggest value in -4580.5, -1/2, -2, 39, -6/11, 4? -1/2 Which is the biggest value? (a) -40625 (b) 5/2 (c) 2 (d) -0.1 (e) 34 (f) -2/9 e Which is the fourth smallest value? (a) -136 (b) 4 (c) -66/277 (d) 5 d Which is the biggest value? (a) -5 (b) 1/5 (c) -7 (d) 1/8 (e) -0.10798699 b What is the smallest value in 1/3, -308, 2, -5/8069? -308 What is the third smallest value in -595422, 0, -130? 0 Which is the second biggest value? (a) -0.1 (b) -654 (c) 0 (d) -2/11 (e) -20 (f) -2 a Which is the third biggest value? (a) 5 (b) 0.4 (c) -685 (d) -2.78 d What is the seventh biggest value in -1/7, 303, -0.4, -4, 1, 415, -1? -4 Which is the fourth smallest value? (a) 2/73 (b) 3 (c) -471 (d) 78/11 d What is the second biggest value in 3, -4/2085, 41, 0.18? 3 What is the second biggest value in -7/174, 325, 72? 72 What is the second smallest value in 41, 0, -34629? 0 What is the third biggest value in 169, 15, 19/59? 19/59 What is the fourth biggest value in 6096, -8, 2/147, -3, 4? -3 What is the second biggest value in -13, -91212/7, -0.03? -13 Which is the second biggest value? (a) 0.2 (b) 1/2 (c) -20940257 a What is the third biggest value in 10, 1.6366, -0.22? -0.22 Which is the sixth biggest value? (a) -2/3 (b) -4 (c) 0 (d) 2/13 (e) 299217 (f) 0.2 b What is the fourth smallest value in -3/7, 115.1, -4, -1/10390, -0.4? -1/10390 Which is the fourth smallest value? (a) 1 (b) -2076 (c) -0.4 (d) -3 a What is the second smallest value in -5/2, 0, 0.885, -2, 1, -3/7, 3/4? -2 Which is the fifth smallest value? (a) 8.1 (b) -2/3 (c) 6 (d) -73.7 (e) -1 a What is the fifth biggest value in 22, -3, 1, 11/72437, -0.5? -3 Which is the third smallest value? (a) -1 (b) 4 (c) -28927 (d) 8 b What is the sixth smallest value in 8.5, 0.8, -0.1, 4, 56, 0.2? 56 Which is the second biggest value? (a) 1 (b) 0.6 (c) -4/7 (d) 3 (e) -194149 a What is the third smallest value in 19, -0.3, -2/37, 10293? 19 What is the biggest value in -4, 417/748, -23? 417/748 What is the seventh biggest value in 1, -5, 3/17, 0.11, -3, 8, 1/10? -5 Which is the second smallest value? (a) 2/53 (b) 5 (c) -983.28 (d) -0.5 d What is the third smallest value in -0.2, -0.02, 1, -0.3, -0.0528, -3? -0.2 What is the biggest value in 4, -2425/9, 2, 3, -2/5, 58? 58 What is the fifth biggest value in -3/11, 49.5, -2, -4, -3, -0.17? -3 Which is the biggest value? (a) 2/5 (b) -2/13 (c) 2 (d) 1/3 (e) -0.5 (f) -0.009 (g) -1.21 c What is the third biggest value in 18, -0.04897, -417? -417 Which is the second biggest value? (a) 4 (b) -4 (c) -0.047 (d) -0.1 (e) 272 (f) -3 a Which is the biggest value? (a) -0.5 (b) 1/8 (c) -2/18715 (d) 0.243 d Which is the third smallest value? (a) -2/13 (b) 43 (c) -57513 b What is the second smallest value in -5, 3.1, 103/23, 28, 1/15? 1/15 Which is the fifth smallest value? (a) -147/131 (b) -3 (c) 1/2 (d) 3/5 (e) 0 d What is the third smallest value in -168/17, -2/721, 5, -38? -2/721 Which is the second biggest value? (a) -20/3 (b) -21/20 (c) -2/15 (d) -55 b What is the second smallest value in 1.09, 39/245, -4/13? 39/245 Which is the second smallest value? (a) 49590 (b) -0.09 (c) -50 b Which is the second biggest value? (a) 3 (b) -2 (c) 0 (d) 2 (e) -0.23 (f) 1 (g) -10 d Which is the smallest value? (a) -5 (b) -16/9 (c) -2/5 (d) -185 (e) 2 (f) 1/5 (g) 0.38 d Which is the third smallest value? (a) 0 (b) 40 (c) -46.12 (d) 3 d What is the sixth biggest value in -1/4, 0.1, -3, -54, 876/19, -1/2? -54 What is the biggest value in 4, -0.4, 0, -2319, -1, -2/7, 20? 20 Which is the second biggest value? (a) -3/28 (b) 2/3 (c) -29651 (d) 5 b Which is the third biggest value? (a) -3/16 (b) -499 (c) -1146 c What is the fourth biggest value in -29, 29, -0.506, -0.1? -29 Which is the third biggest value? (a) 137522 (b) -18 (c) -6/13 b Which is the fifth smallest value? (a) -200.54 (b) 1/5 (c) 72 (d) 2/3 (e) 0.4 c What is the third smallest value in 1/6, -1, 219922, 3? 3 What is the second biggest value in 0.06, 6, -6, 0.13, 0.065? 0.13 Which is the second smallest value? (a) 12 (b) -59414 (c) 4 c Which is the third biggest value? (a) 2/5 (b) 2/13 (c) -0.4 (d) 0.05 (e) -204 (f) -0.01 d Which is the second biggest value? (a) 26 (b) 12 (c) 0.2 (d) -0.6964 b
{ "pile_set_name": "DM Mathematics" }
))/(sqrt(9) + (sqrt(45)*-1)/sqrt(5) - sqrt(9)). -sqrt(5) Simplify ((-3 + 3 + sqrt(2) + 0)*-4)**2. 32 Simplify ((4*(sqrt(66) - (sqrt(66) + 1*sqrt(66) - sqrt(66))) + sqrt(66) + sqrt(66) - sqrt(66)) + sqrt(66) + sqrt(66))/(sqrt(864)*2). sqrt(11)/8 Simplify (4 + -1 + sqrt(13) - sqrt(13)) + 0 + sqrt(52). 3 + 2*sqrt(13) Simplify -4 + ((-1*sqrt(76))/sqrt(4))**2. 15 Simplify sqrt(18)/(-5*sqrt(9) - sqrt(9)) + (-2*sqrt(2))**2*-2. -16 - sqrt(2)/6 Simplify (sqrt(12)*-3 - sqrt(12))**2 + sqrt(12) + (-2*sqrt(3) - sqrt(3))**2*6. 2*sqrt(3) + 354 Simplify ((sqrt(51) - sqrt(459) - sqrt(51) - sqrt(51))/sqrt(3))**2*-2 + (3*(sqrt(153) - (sqrt(153) + sqrt(153)*-1)))**2 + sqrt(153). 3*sqrt(17) + 833 Simplify (-1*2*sqrt(1088) + sqrt(1088))**2. 1088 Simplify 4 + (2 + sqrt(13))**2*-5 + 3*1*sqrt(13). -81 - 17*sqrt(13) Simplify 2 + sqrt(500) - sqrt(20)/sqrt(144). 2 + 59*sqrt(5)/6 Simplify sqrt(13) + (sqrt(26)/sqrt(2))**2 + -3 - ((sqrt(39)/sqrt(3))**2 + -1). -2 + sqrt(13) Simplify sqrt(324)/sqrt(12)*-4. -12*sqrt(3) Simplify (sqrt(192)/sqrt(4) + sqrt(3) + (sqrt(108) - (sqrt(108) + 1)))**2. -10*sqrt(3) + 76 Simplify (1*((-5*sqrt(180))/sqrt(6))/sqrt(10))**2. 75 Simplify (sqrt(108) + 2)**2. 24*sqrt(3) + 112 Simplify (1 + sqrt(1100))**2*1. 20*sqrt(11) + 1101 Simplify (2 + -4 + 2*sqrt(11) + -2)**2. -16*sqrt(11) + 60 Simplify -5*sqrt(45)/(sqrt(27)/sqrt(3)). -5*sqrt(5) Simplify sqrt(33)/(sqrt(1584) + (sqrt(1584) - sqrt(1584)*5)). -sqrt(3)/36 Simplify (sqrt(500)*2 + 2)**2 + 3. 80*sqrt(5) + 2007 Simplify sqrt(78)/(sqrt(60)/(2*sqrt(10))) + -1. -1 + 2*sqrt(13) Simplify ((1*sqrt(112) - sqrt(7)) + (sqrt(77)*1)/sqrt(11))**2. 112 Simplify -3 + sqrt(304) + -4. -7 + 4*sqrt(19) Simplify 4 + ((sqrt(78)/sqrt(3) + sqrt(26) - sqrt(26))*-4 - sqrt(26))/sqrt(2). -5*sqrt(13) + 4 Simplify ((-2 + -4*(sqrt(2) - (sqrt(2)*-1 - sqrt(2))) + sqrt(2))*-3)**2*-6. -13284 - 2376*sqrt(2) Simplify (sqrt(63)/sqrt(3) - sqrt(21))/sqrt(3) - (sqrt(175) + sqrt(175) + 1). -10*sqrt(7) - 1 Simplify (4*sqrt(19)*-4)**2 + ((sqrt(1216) - (-4 + sqrt(1216) - sqrt(1216))) + sqrt(1216) + sqrt(1216) + sqrt(19) - sqrt(19)). 24*sqrt(19) + 4868 Simplify -2*(sqrt(1053) + sqrt(1053) + 0). -36*sqrt(13) Simplify (sqrt(130)/(sqrt(30)/sqrt(3))*-5)**2 + 2. 327 Simplify (sqrt(25) - (-3*sqrt(625) - sqrt(25)))/sqrt(5). 17*sqrt(5) Simplify (-1*(-1 + sqrt(1539)))**2 + (sqrt(2299)*1 - sqrt(38)/sqrt(2)*4). -11*sqrt(19) + 1540 Simplify (5*(sqrt(275) + -5 - (1*sqrt(11) + 5)))**2. -2000*sqrt(11) + 6900 Simplify -5*((sqrt(75) - (-4 + sqrt(75) + -1 + sqrt(75))) + (sqrt(75) - (4 + sqrt(75) + 0)) + sqrt(75))**2. -5 Simplify (1*sqrt(2) + -4 - ((-1*sqrt(162) - sqrt(162)) + sqrt(162) + sqrt(162)))**2. -8*sqrt(2) + 18 Simplify sqrt(1584) + 3 + sqrt(11) + sqrt(11)*-1*-1. 3 + 14*sqrt(11) Simplify ((0 + sqrt(171))**2*4 - sqrt(171)) + sqrt(171) + -1 + 5. 688 Simplify sqrt(2299)*-3 + -4. -33*sqrt(19) - 4 Simplify 6*(-4 + sqrt(2057) + 0). -24 + 66*sqrt(17) Simplify (sqrt(200)/sqrt(144) - sqrt(50))/(sqrt(160) + sqrt(160)*-3). 5*sqrt(5)/48 Simplify (sqrt(3146)*-2)/((sqrt(2) + (sqrt(2) - 1*sqrt(2)))*-3). 22*sqrt(13)/3 Simplify sqrt(117) + (-4 + sqrt(117) + 0)**2 + sqrt(117) + 1*sqrt(117)*-3 + sqrt(117). -24*sqrt(13) + 133 Simplify sqrt(12)/sqrt(64) + 0 + (sqrt(18)/sqrt(6) + sqrt(3))**2. sqrt(3)/4 + 12 Simplify (sqrt(133) + sqrt(133) + sqrt(133)*2 + sqrt(133))/sqrt(7) + ((sqrt(209) + (2*sqrt(209) - sqrt(209)))/sqrt(11))**2. 5*sqrt(19) + 76 Simplify -1 + (sqrt(63) + 1)**2. 6*sqrt(7) + 63 Simplify -4 + (sqrt(45) + (sqrt(45) - sqrt(45)*-1))/sqrt(9). -4 + 3*sqrt(5) Simplify 2 + 2 + sqrt(833). 4 + 7*sqrt(17) Simplify 3 + ((1 + sqrt(252))**2 - sqrt(7)) - sqrt(14)/(sqrt(128)*-1 - sqrt(128) - sqrt(128)). 265*sqrt(7)/24 + 256 Simplify sqrt(72) + -2 + sqrt(72) + 0. -2 + 12*sqrt(2) Simplify ((sqrt(180) + sqrt(180) + 0)*-1)**2. 720 Simplify 6*(sqrt(136)/(sqrt(8)*1) - sqrt(17)) + sqrt(51)/(2*sqrt(3)) + sqrt(612) + ((-2*sqrt(612))**2 - sqrt(612)). sqrt(17)/2 + 2448 Simplify ((sqrt(168)*-1 - sqrt(168))/sqrt(12))/(sqrt(28)/sqrt(64)). -8*sqrt(2) Simplify (-5*(sqrt(70) - -1*sqrt(70) - sqrt(70)) + sqrt(70))/((sqrt(10) - (sqrt(10) - sqrt(40)))*-2). sqrt(7) Simplify (-2*sqrt(3159))/(sqrt(3) - (sqrt(3) - sqrt(27))*1). -6*sqrt(13) Simplify 4*(0 + sqrt(1331) + sqrt(1331))**2. 21296 Simplify (5 + ((sqrt(11) - (sqrt(44)/sqrt(4) - sqrt(11)))*4 - sqrt(11) - (sqrt(33)/sqrt(3) + 4)))**2. 4*sqrt(11) + 45 Simplify (6*-1*sqrt(133))/(sqrt(56)/(sqrt(8)*3)). -18*sqrt(19) Simplify (-1*sqrt(7623) + sqrt(7623))/sqrt(9). 0 Simplify -2*(2*sqrt(1900) + -3)**2. -15218 + 240*sqrt(19) Simplify (sqrt(152)/sqrt(8)*6*5)**2. 17100 Simplify (sqrt(162) + sqrt(162) + sqrt(162) + 2 + 1)**2. 162*sqrt(2) + 1467 Simplify -6*-5*sqrt(180) + -2. -2 + 180*sqrt(5) Simplify ((sqrt(50) - sqrt(2450)*2) + sqrt(50))/(sqrt(490)*2). -6*sqrt(5)/7 Simplify (sqrt(154)/sqrt(7))/sqrt(2) + (-3*sqrt(176))**2. sqrt(11) + 1584 Simplify (sqrt(2) - sqrt(2)*1)*5 + -5 + -2*sqrt(2). -5 - 2*sqrt(2) Simplify -4*(1 + sqrt(17))**2 + sqrt(17)*2 + 1. -71 - 6*sqrt(17) Simplify ((-3 + (sqrt(17) - 1*sqrt(17)) + sqrt(17))*5)**2. -150*sqrt(17) + 650 Simplify 0 + (sqrt(3146) - -1*sqrt(3146))/sqrt(2). 22*sqrt(13) Simplify (-1*sqrt(21)*-5)/(sqrt(18)/sqrt(6)*-6). -5*sqrt(7)/6 Simplify 2*sqrt(60)/sqrt(5). 4*sqrt(3) Simplify (sqrt(11) - (0 + sqrt(99)))*-5. 10*sqrt(11) Simplify sqrt(324)/(-2*sqrt(12)). -3*sqrt(3)/2 Simplify (sqrt(28)/sqrt(4) + 2)**2 - (4 + sqrt(28)). 2*sqrt(7) + 7 Simplify 4 + -5*(1 + sqrt(2)) + (sqrt(2) + (sqrt(56)/sqrt(4))/sqrt(7))**2 + (sqrt(2) - (sqrt(6)/sqrt(3) + -4)) + sqrt(2). -4*sqrt(2) + 11 Simplify (5*4*(-1*sqrt(612) + -4))**2. 19200*sqrt(17) + 251200 Simplify (sqrt(48)/(sqrt(2) + sqrt(8)))/sqrt(12) + -2*sqrt(242)*-1. 67*sqrt(2)/3 Simplify (sqrt(51)/(sqrt(12)/sqrt(4)*3))**2. 17/9 Simplify -2 + ((1 + sqrt(833))*-1 - sqrt(833))**2. 28*sqrt(17) + 3331 Simplify (1 + sqrt(325))*2*-4. -40*sqrt(13) - 8 Simplify 5 + sqrt(153)*5. 5 + 15*sqrt(17) Simplify -3*(sqrt(2) + ((sqrt(32))**2 - sqrt(2)) + -4). -84 Simplify (1*sqrt(245) + sqrt(245) + (sqrt(5) - (3 + sqrt(5) + sqrt(125))) + sqrt(5))**2. -60*sqrt(5) + 509 Simplify (1*(-3 + 0 + sqrt(5) + 2))**2. -2*sqrt(5) + 6 Simplify -6*(4 + -1*sqrt(1573)) + 2. -22 + 66*sqrt(13) Simplify (sqrt(35) + -1*sqrt(875) + sqrt(875) - sqrt(35))/(-3*1*sqrt(7)). 0 Simplify ((sqrt(500)*-4 + -5)*-2)**2. 1600*sqrt(5) + 32100 Simplify ((sqrt(14) - (sqrt(14) + sqrt(140)/(sqrt(40)/sqrt(4))))/sqrt(7) - (sqrt(200) - 4*sqrt(8)/sqrt(4)))**2. 98 Simplify (-6*sqrt(567)*2 + 6*(sqrt(567) - (2 + sqrt(567) - sqrt(567))))**2. 1296*sqrt(7) + 20556 Simplify ((sqrt(68) + -1)*1*-5)**2. -100*sqrt(17) + 1725 Simplify 2*(2*sqrt(52) + sqrt(52)*-2). 0 Simplify (3 + (sqrt(5) - sqrt(15)/sqrt(3)))**2 + 3. 12 Simplify (-4*(-2*sqrt(88) - sqrt(88)) + sqrt(88))/(-2*sqrt(72)). -13*sqrt(11)/6 Simplify (((sqrt(315) + sqrt(315) + 1*sqrt(315))/sqrt(7))**2 - sqrt(45)) + 2. -3*sqrt(5) + 407 Simplify (sqrt(76)*-2 + sqrt(19))**2*-4. -684 Simplify (sqrt(11) - (sqrt(330)/sqrt(6))/sqrt(5))**2*-4. 0 Simplify (sqrt(125)*-5 + -4)**2. 200*sqrt(5) + 3141 Simplify (-1*sqrt(847) + 1)**2 + 2. -22*sqrt(7) + 850 Simplify 2*(sqrt(224)/sqrt(8))**2. 56 Simplify -6*(4 + sqrt(1100))*-5. 120 + 300*sqrt(11) Simplify (-3*sqrt(54)/sqrt(2))/sqrt(9). -3*sqrt(3) Simplify (sqrt(57) + 2*sqrt(8208))/(sqrt(3) - (sqrt(3) - (sqrt(300) - (sqrt(300) - sqrt(300)*2) - sqrt(300)))). 5*sqrt(19)/2 Simplify ((-2 + sqrt(2057) + 3 + sqrt(153))*3)**2. 252*sqrt(17) + 29997 Simplify (-5*(sqrt(60) - (sqrt(60) + sqrt(60) + sqrt(960))))/(-1*sqrt(75) - sqrt(3)). -25*sqrt(5)/3 Simplify 4*(2 + (sqrt(208) - (sqrt(208) + 0)) + sqrt(208))**2. 64*sqrt(13) + 848 Simplify ((3*sqrt(385))/sqrt(7))/sqrt(5). 3*sqrt(11) Simplify (2 + 2 + sqrt(700))**2. 80*sqrt(7) + 716 Simplify (-1 + (sqrt(1573) + sqrt(1573)*-1*-6 + sqrt(1573) - sqrt(1573)))**2. -154*sqrt(13) + 77078 Simplify 5 + -3 + sqrt(1900). 2 + 10*sqrt(19) Simplify ((sqrt(275) - (sqrt(275) + -2))*5 + -2)**2. 64 Simplify (3 + (sqrt(7) - (sqrt(315)/sqrt(5))/sqrt(9)))**2*-4. -36 Simplify ((sqrt(130)*2 - sqrt(130))*2 + sqrt(130) + sqrt(130))/(sqrt(40)/(sqrt(4)*-2)). -8*sqrt(13) Simplify sqrt(11)*-1*-2 + ((sqrt(121)*-2 - sqrt(121)) + sqrt(121) + sqrt(121))/sqrt(11) + sqrt(11). 2*sqrt(11) Simplify (sqrt(456)/(sqrt(48)/sqrt(4)) - sqrt(38))/sqrt(2)*-6. 0 Simplify ((sqr
{ "pile_set_name": "DM Mathematics" }
2, j: 4, v: 2}. Give prob of sequence tvj. 1/21 Calculate prob of sequence atd when three letters picked without replacement from {a: 1, d: 2, m: 1, u: 1, t: 2}. 2/105 Three letters picked without replacement from {c: 3, p: 1, k: 2, g: 1}. What is prob of sequence ccp? 1/35 Four letters picked without replacement from uuuuuuuuuu. What is prob of sequence uuuu? 1 Calculate prob of sequence inb when three letters picked without replacement from {b: 4, e: 2, n: 1, i: 1}. 1/84 Calculate prob of sequence pp when two letters picked without replacement from {z: 1, p: 3, r: 1, o: 1, j: 1}. 1/7 Calculate prob of sequence xi when two letters picked without replacement from noioinxizqn. 3/110 What is prob of sequence tzq when three letters picked without replacement from {t: 8, z: 5, s: 1, j: 1, q: 2}? 1/51 What is prob of sequence gcr when three letters picked without replacement from {g: 2, h: 8, c: 6, r: 2}? 1/204 Three letters picked without replacement from svggvpgsg. What is prob of sequence pvg? 1/63 Four letters picked without replacement from qyqqfyyqyjg. What is prob of sequence ygjq? 1/495 Two letters picked without replacement from iqiiqqqiqiqq. Give prob of sequence qi. 35/132 What is prob of sequence xf when two letters picked without replacement from ffxkdkf? 1/14 Calculate prob of sequence hhaz when four letters picked without replacement from {h: 3, o: 1, y: 1, a: 1, z: 1}. 1/140 Two letters picked without replacement from sssmmspps. What is prob of sequence sp? 5/36 Four letters picked without replacement from ldtjdflj. What is prob of sequence tdjf? 1/420 What is prob of sequence nk when two letters picked without replacement from knnnkkknnnnnnnnkjn? 10/51 What is prob of sequence soof when four letters picked without replacement from ssossssfsssooss? 11/5460 What is prob of sequence ppf when three letters picked without replacement from pffffpfff? 1/36 Calculate prob of sequence cv when two letters picked without replacement from {c: 15, v: 5}. 15/76 Four letters picked without replacement from ppygxppyyypygxhyyp. What is prob of sequence gpyy? 7/1020 Two letters picked without replacement from xgtgsgnlglggggxl. Give prob of sequence ln. 1/80 Two letters picked without replacement from hccguchbvbcccc. What is prob of sequence bu? 1/91 What is prob of sequence eoo when three letters picked without replacement from ekomu? 0 What is prob of sequence ququ when four letters picked without replacement from juuuqujujuqquuuuuu? 11/1020 What is prob of sequence rrv when three letters picked without replacement from rprppvvrpvr? 2/55 What is prob of sequence bbr when three letters picked without replacement from gbbrgbrgggbb? 1/33 Four letters picked without replacement from luiim. Give prob of sequence imiu. 1/60 Four letters picked without replacement from {d: 1, s: 11, z: 1, l: 2, a: 2, o: 1}. What is prob of sequence zals? 11/18360 Three letters picked without replacement from dzttjdddjdjtd. What is prob of sequence dzd? 5/286 What is prob of sequence uu when two letters picked without replacement from bdxhxuhubdgxgxxbxu? 1/51 Two letters picked without replacement from {d: 5, r: 9}. What is prob of sequence rr? 36/91 Four letters picked without replacement from unquvnvxxuuuvvvn. Give prob of sequence uxqu. 1/1092 What is prob of sequence ye when two letters picked without replacement from esynxxx? 1/42 Four letters picked without replacement from {r: 1, e: 1, v: 3, a: 9}. What is prob of sequence eavv? 9/4004 Calculate prob of sequence pggp when four letters picked without replacement from llpllgllllgp. 1/2970 Two letters picked without replacement from ggg. Give prob of sequence gg. 1 What is prob of sequence joj when three letters picked without replacement from {j: 3, x: 1, o: 1}? 1/10 What is prob of sequence lz when two letters picked without replacement from llzlzl? 4/15 What is prob of sequence xqaq when four letters picked without replacement from {p: 1, a: 3, f: 1, q: 8, x: 3, t: 3}? 7/1292 Four letters picked without replacement from hbbbhbrbbbbhbbbhhbbr. Give prob of sequence hrbb. 13/969 Four letters picked without replacement from {y: 2, g: 3}. What is prob of sequence gygy? 1/10 What is prob of sequence vt when two letters picked without replacement from kkkkxkkktkfkvkffkf? 1/306 What is prob of sequence rc when two letters picked without replacement from ccfcrfcaccrc? 7/66 Three letters picked without replacement from {j: 1, z: 1, i: 3}. What is prob of sequence jii? 1/10 Two letters picked without replacement from {w: 2, z: 3}. Give prob of sequence ww. 1/10 Calculate prob of sequence am when two letters picked without replacement from {a: 3, m: 5}. 15/56 Calculate prob of sequence mu when two letters picked without replacement from mue. 1/6 Calculate prob of sequence nini when four letters picked without replacement from ninniiniinni. 5/66 Three letters picked without replacement from ppyywyyyyy. What is prob of sequence yyp? 7/60 What is prob of sequence bb when two letters picked without replacement from {e: 1, b: 5, p: 5, o: 8}? 10/171 Two letters picked without replacement from {c: 1, r: 2, o: 1, f: 5, e: 3, w: 1}. Give prob of sequence ro. 1/78 Calculate prob of sequence oio when three letters picked without replacement from {d: 1, o: 11, i: 2}. 55/546 Three letters picked without replacement from {b: 2, d: 2, y: 2, i: 4, e: 3, z: 1}. What is prob of sequence eii? 3/182 Four letters picked without replacement from {f: 3, u: 10, z: 2}. Give prob of sequence zzuf. 1/546 What is prob of sequence skpa when four letters picked without replacement from {k: 2, s: 3, a: 1, p: 3, c: 6}? 1/1820 Two letters picked without replacement from jjojojjjjjojoj. What is prob of sequence oo? 6/91 Calculate prob of sequence nhb when three letters picked without replacement from nhbhhnbhb. 1/21 Two letters picked without replacement from {l: 1, s: 1, c: 2}. Give prob of sequence cl. 1/6 What is prob of sequence mcmm when four letters picked without replacement from ghmgzwgmgwcgc? 0 What is prob of sequence zy when two letters picked without replacement from fyyoofyjjzjzo? 1/26 What is prob of sequence myy when three letters picked without replacement from mmymy? 1/10 Three letters picked without replacement from {o: 1, i: 4, y: 2, c: 2}. What is prob of sequence ycc? 1/126 What is prob of sequence tyx when three letters picked without replacement from {t: 4, x: 2, q: 4, y: 1}? 4/495 What is prob of sequence sssz when four letters picked without replacement from sszzspszzzpszss? 1/26 Two letters picked without replacement from lggggglgglllgg. Give prob of sequence ll. 10/91 What is prob of sequence fb when two letters picked without replacement from {d: 4, g: 5, f: 7, b: 3}? 7/114 Two letters picked without replacement from ooooopopopdpopobpp. Give prob of sequence dp. 7/306 Two letters picked without replacement from {e: 4, n: 2, y: 2, b: 5, u: 4}. Give prob of sequence nb. 5/136 Calculate prob of sequence ps when two letters picked without replacement from {s: 1, i: 1, b: 1, q: 3, p: 5}. 1/22 What is prob of sequence bdkj when four letters picked without replacement from {q: 2, d: 2, j: 1, k: 2, b: 1}? 1/420 Three letters picked without replacement from glgggllggggggggggg. Give prob of sequence gll. 5/272 Four letters picked without replacement from {m: 6}. What is prob of sequence mmmm? 1 What is prob of sequence cqeq when four letters picked without replacement from {c: 3, e: 2, q: 10}? 3/182 Two letters picked without replacement from {z: 1, w: 1, h: 2, b: 1, f: 2, c: 1}. What is prob of sequence zh? 1/28 What is prob of sequence kvvv when four letters picked without replacement from mvkvmkvvvmlmlvkg? 3/364 Calculate prob of sequence la when two letters picked without replacement from {a: 4, l: 5, z: 5}. 10/91 What is prob of sequence dpa when three letters picked without replacement from {a: 1, d: 1, q: 1, f: 1, p: 1}? 1/60 What is prob of sequence mm when two letters picked without replacement from mmmmmmggmggmgmggmggg? 9/38 Calculate prob of sequence xx when two letters picked without replacement from xxvvlvxwxxxxxmxvv. 9/34 Calculate prob of sequence hg when two letters picked without replacement from {b: 1, m: 2, h: 1, f: 1,
{ "pile_set_name": "DM Mathematics" }
d derivative of 113*r**3*x**3 + r**3*x**2 + 2*r**3 + 36*r**2*x + 5*x wrt x. 678*r**3*x + 2*r**3 Find the third derivative of -174*f**3 + 222*f**2 wrt f. -1044 Find the second derivative of -9*c**2*i**5 - 58*c**2*i**3 + 646*c**2*i - c*i - 1 wrt i. -180*c**2*i**3 - 348*c**2*i Differentiate -1259*b + 9620. -1259 Find the third derivative of 6*m**2*u**4 + 162*m**2 - m*u - 146*u**5 + u**2 wrt u. 144*m**2*u - 8760*u**2 What is the second derivative of -116*n**3 + 11*n**2 - 1204*n - 4? -696*n + 22 What is the second derivative of -336*g**3*w**2 - g**3 - 2*g**2*w + g**2 wrt w? -672*g**3 Find the second derivative of -95*a**5*z**2 - 4*a**3*z**2 + a*z - 21*z**2 wrt a. -1900*a**3*z**2 - 24*a*z**2 What is the derivative of -2*n**2*v**2 - n**2*v - 58*n*v**2 - 101*v**2 wrt n? -4*n*v**2 - 2*n*v - 58*v**2 What is the second derivative of 969*h**3*t**3 + 5*h*t**3 + 4*h*t**2 + 9*h*t wrt h? 5814*h*t**3 Find the third derivative of -4*q**6 + 107*q**3 - 23*q**2 - 7*q - 2. -480*q**3 + 642 What is the first derivative of 2630*n**3 - 1874? 7890*n**2 What is the first derivative of 562*d*i**2 - 351*i**2 wrt d? 562*i**2 What is the third derivative of -6440*f**3 + 421*f**2? -38640 Find the second derivative of 2*l**3 - 1017*l**2 + 13629*l wrt l. 12*l - 2034 Differentiate -2*o**3*r - o**3 - 4*o**2 + 24241*r**2 + 385 wrt r. -2*o**3 + 48482*r What is the second derivative of -1389*a**4 + 379*a wrt a? -16668*a**2 What is the third derivative of -16*m**6 + 60*m**5 - 2597*m**2 - 1 wrt m? -1920*m**3 + 3600*m**2 What is the third derivative of 9*d**4 - 708*d**3 - 319*d**2 - d + 2? 216*d - 4248 What is the first derivative of -11*n**3 + 14*n + 1049? -33*n**2 + 14 Differentiate -3*f*l**3 - 34*f*l**2 - 2*l**3 + 68*l**2 with respect to f. -3*l**3 - 34*l**2 What is the third derivative of -190*d**3 - d**2 - 47? -1140 Find the first derivative of 189*f*g**2*w - 2*f*g + 7*f*w + g**2 + 37*w wrt g. 378*f*g*w - 2*f + 2*g What is the first derivative of -35*c**2 - 13*c + 122 wrt c? -70*c - 13 Find the third derivative of -78*d**2*k**5 + 10*d**2 - 17*d*k**5 - 307*d*k**2 + 2 wrt k. -4680*d**2*k**2 - 1020*d*k**2 What is the second derivative of 4*a**3*p + 28*a**3 + 2*a**2*p - a*p - 120*p wrt a? 24*a*p + 168*a + 4*p What is the third derivative of 3*q**6*z + 94*q**5*z - 98*q**2*z + 5*q*z wrt q? 360*q**3*z + 5640*q**2*z Find the third derivative of 148*c*s**5 + 3*c*s**3 - 192*c*s**2 + c wrt s. 8880*c*s**2 + 18*c Find the first derivative of a**2*g*u + a**2*u - 2*a*g**2 + 2*a*u - 7*g**2*u + 12*u wrt g. a**2*u - 4*a*g - 14*g*u What is the second derivative of -176*v**3 + 28*v + 34? -1056*v What is the second derivative of 5*l**3 - 3*l**2 - 6*l - 8? 30*l - 6 Find the third derivative of 5*c*d**5*g - 2*c*d**4*g - 14*c*d**3 - 2*c*d**2*g - 195*c*d**2 wrt d. 300*c*d**2*g - 48*c*d*g - 84*c Find the first derivative of 20946*u**4 + 11556. 83784*u**3 Differentiate 546*i*v**4 - 6*i*v + 3264*i with respect to v. 2184*i*v**3 - 6*i Find the third derivative of 5*k**3*w**2*z**3 - 23*k**3*z + k**2*w**2*z**2 + 30*w**2*z**3 - z**2 wrt z. 30*k**3*w**2 + 180*w**2 What is the third derivative of -181*i**3 - i**2 + 39 wrt i? -1086 What is the first derivative of -841*t**3 - 2*t*y**2 - 122*y**2 wrt t? -2523*t**2 - 2*y**2 What is the derivative of 6*r**3 - 2*r**2 + 18*r - 11960 wrt r? 18*r**2 - 4*r + 18 Find the second derivative of 2*l*u*y*z**2 + 4*l*u*z - 73*l*y**2*z - 3*l*y**2 + u*y*z + 2*u*z**2 - 1312*y**2*z**2 - 2*y**2*z wrt z. 4*l*u*y + 4*u - 2624*y**2 Find the third derivative of -9*m**5 - 87*m**4 + 6305*m**2 wrt m. -540*m**2 - 2088*m Find the second derivative of 16*j**3*q**2 + 6*j**3*q - 2*j**2*q**2 + 7*j*q + 19*q**2 wrt j. 96*j*q**2 + 36*j*q - 4*q**2 Find the first derivative of -52*l + 856 wrt l. -52 Find the second derivative of -2*q*x**4 + 2*q*x + q + 981*x**5 + 22*x wrt x. -24*q*x**2 + 19620*x**3 What is the first derivative of -6*x**4 - 6*x**3 + 1132? -24*x**3 - 18*x**2 Differentiate -2*h*p**4 + 2*h*p**2 - 38*h - 384*p**4 + 13 with respect to p. -8*h*p**3 + 4*h*p - 1536*p**3 Differentiate -i**2*k**2*r**2 - 2*i**2*r**2 - 58*k*r**2 + 58*r**2 wrt k. -2*i**2*k*r**2 - 58*r**2 Find the second derivative of 87*a**4 - 5*a + 30. 1044*a**2 Find the second derivative of 316*g**3*q**2 - 7463*g**3*q wrt q. 632*g**3 Find the second derivative of -167*p**3 - p + 36. -1002*p Find the third derivative of -1274*i**3 - 347*i**2 - 2 wrt i. -7644 Differentiate -36*n**3 + 2*n**2 + 5*n - 8890. -108*n**2 + 4*n + 5 What is the derivative of -4*a**2*i**2*x + a**2*i**2 + 222*a*i**2 - i**2*x**2 - 10*x**2 wrt x? -4*a**2*i**2 - 2*i**2*x - 20*x What is the third derivative of 103*a**4 + 8*a**3 - 1722*a**2 wrt a? 2472*a + 48 Differentiate 2*g*j**2*n - 5*g*j**2*y + 65*g*j*n*y + 2*g*n*y - 40*g + j**2 - 2*j*n with respect to y. -5*g*j**2 + 65*g*j*n + 2*g*n What is the third derivative of -59*d**5 - 18*d**2 + 1 wrt d? -3540*d**2 Find the third derivative of 7655*v**3 + 25*v**2 - 19*v - 3. 45930 Find the third derivative of 19*a**4 + 57*a**3 - 1589*a**2. 456*a + 342 What is the third derivative of -72*l**4*v + 8*l**2 + v - 2 wrt l? -1728*l*v What is the second derivative of 2627*s**5 - 502*s wrt s? 52540*s**3 Differentiate -27*g*j*q**2 - 2*g*j*q - g*q*w + 7*j*q + 2*q**2*w + 14*q**2 with respect to g. -27*j*q**2 - 2*j*q - q*w What is the third derivative of -7*r**4 + 365*r**3 + r**2 + 6181*r wrt r? -168*r + 2190 What is the third derivative of -5*b**4*x + 35*b**4 + 10*b**3*x - 12*b**2*x + 7*b*x - 2*b - 2*x wrt b? -120*b*x + 840*b + 60*x What is the first derivative of -28*r + 61? -28 What is the derivative of 8379*s - 4046? 8379 Find the third derivative of 5*c**5 + 3*c**4 + 7*c**2 + 1. 300*c**2 + 72*c What is the second derivative of -a**4 - 67*a**3*d**3 - 2*a*d**3 + 4*a*d**2 - 64*a*d - 3*d**3 wrt a? -12*a**2 - 402*a*d**3 Differentiate 3*j**3*u - j**3 + 21*j**2*u + 327*j**2 wrt u. 3*j**3 + 21*j**2 Find the third derivative of 258*j**5 - 362*j**2. 15480*j**2 What is the first derivative of v**3 - 249*v - 282 wrt v? 3*v**2 - 249 Find the third derivative of -2*l**3*t - 56*l**3 + 2*l**2*t - 243*t wrt l. -12*t - 336 What is the derivative of 392*t + 263 wrt t? 392 Find the third derivative of 430*m**4 + 14*m**2 + 2*m. 10320*m Find the third derivative of 162*j**3*s**5 + 3*j**3*s**2 + 2*j*s**6 - 18*j*s**2 wrt s. 9720*j**3*s**2 + 240*j*s**3 Differentiate 13754*j**4 + 10384 with respect to j. 55016*j**3 What is the third derivative of 271*b**3 - 188*b**2? 1626 Find the first derivative of -2965*c**2 + 3151 wrt c. -5930*c What is the third derivative of 13*t**2*z**4 + 16*t**2*z**2 - 8*t + 9*z**4 wrt z? 312*t**2*z + 216*z Find the third derivative of 3*m**5 + 4*m**4 + 869*m**3 + m**2 + 421*m + 3 wrt m. 180*m**2 + 96*m + 5214 Find the third derivative of -3*n**4*p + n**3*p**2 - 201*n**3*p - n**3 - 7519*n**2*p**2 + 2*n*p**2 wrt n. -72*n*p + 6*p**2 - 1206*p - 6 What is the third derivative of -2144*q**3*v - q**2*v + q*v - 845 wrt q? -12864*v Differentiate -1080*j**4 - 1229 wrt j. -4320*j**3 What is the first derivative of -5*l**3*s**2 - 1070*l**3 - 10*l**2*s**4 + 2*s wrt s? -10*l**3*s - 40*l**2*s**3 + 2 What is the first derivative of 339*v**4 + 2*v**2 - 707? 1356*v**3 + 4*v What is the first derivative of -6*a**2 + 11*a - 1021? -12*a + 11 What is the second derivative of -43*a**2 + a + 5 wrt a? -86 What is the third derivative of 625*c**3*j - 24*c**2 + 31*j wrt c? 3750*j Differentiate -h**3*p*v + 1121*h**3*v - 2*p*v - 59*p - 20 with respect to h. -3*h**2*p*v + 3363*h**2*v Find the second derivative of -55*g*p**3 - 40*g*p + 11*p**5 - 1 wrt p. -330*g*p + 220*p**3 Find the second derivative of 6816*g**3 - 186*g + 6 wrt g. 40896*g What is the third derivative of 8*a**6 + 1063*a**4 - 4*a**2 + 7*a - 93 wrt a? 960*a**3 + 25512*a Find the second derivative of 2*f**5*x + 3*f**2*x + 48*f**2 - f*x + 13*x wrt f. 40*f**3*x + 6*x + 96 Find the second derivative of -2*k*z**5 - 9*k*z**3 - 28*k*z + 2*k + 22*z**5 - 4*z wrt z. -40*k*z**3 - 54*k*z + 440*z**3 Find the second derivative of h**3*n**2*w**2 - h**3*n*w**3 + 48*h**3*n + 13349*h*n**2*w**3 - 4*h*n*w**2 wrt n. 2*h**3*w**2 + 26698*h*w**3 What is the third derivative of 10*c**6 + c**4 - 51*c**2 wrt c? 1200*c**3 + 24*c What is the third derivative of 242*y**5 + 3*y**4 - 3*y**3 + y**2 + y + 452? 14520*y**2 + 7
{ "pile_set_name": "DM Mathematics" }
k*k/k**(-8)*k)/k)*((k*k**8)/k)/(k*k**(-4/9)*k*k) assuming k is positive. k**(229/9) Simplify ((w/w**31)/w)**(7/11)/(w*w**3)**(1/9) assuming w is positive. w**(-1997/99) Simplify ((f**(-2)/f)/f)**(-2/13)/(f**2)**(-2/43)*(f**(1/2)*f*f)/(f/f**(3/13))*(f*f/(f*f**(-1)))/(f**(-1/3)*f) assuming f is positive. f**(12653/3354) Simplify (((o*o**(-10))/o)/(o*o*o**(6/7))*(o**(-2/7))**(16/5))**(-23) assuming o is positive. o**(11086/35) Simplify ((c**(2/5)/c**(-3))/(c**(-3))**(-48/11))**37 assuming c is positive. c**(-19721/55) Simplify (m*m/(m/m**(-1/10)))/m*m*m*m**(-4/7)*m*(m**(-2/3))**(1/4)*((m/m**(-7))/m**(-6))**(-15) assuming m is positive. m**(-21823/105) Simplify (q*q*q*q**5*q*q*q**5*q)/(q**(-1/5)*q*q**8/q*q)*(q*(q/(q/(q**(1/4)*q)))/q*q)**(9/2)*q**(-7)*q**(1/3) assuming q is positive. q**(1279/120) Simplify ((((((k**(-9)*k)/k)/k)/k*k*(k*(k*k/(k*k**7))/k)/k)/(k*k*k**0*k**6/k))**(-1/5))**(-12) assuming k is positive. k**(-288/5) Simplify ((a/(a/(a**(-1)*a)))**(-45)*a**(2/7)/a**(-2/3))/((a*a*a**(1/4)*a)**(1/12))**(2/89) assuming a is positive. a**(14149/14952) Simplify ((n**13*n*n/n**(-13/3))/((n/(n*n*n**(-1)/n*n)*n)/n)**(1/63))**(6/11) assuming n is positive. n**(116/11) Simplify ((i**(1/2))**(-2/73)*i/(i*i**(-6)*i)*i**(-5/3)/i)/((i*i**(4/7)*i*i)/i**(-5)*(i**(2/7))**(8/3)) assuming i is positive. i**(-512/73) Simplify (b**(1/6)*b**(-7))**(-41)*(b*b**2)**(-16/5)/(b**(2/11)/(((b**(-1/5)/b)/b)/b*b)) assuming b is positive. b**(88501/330) Simplify ((z/(z/(z*z**(-1/9))*z))/z*z*z**(7/6)*(z**(3/23)*z)/z**(2/15))**(-21/5) assuming z is positive. z**(-29743/3450) Simplify ((p/(p*p*p/(p/(p*p**(4/11)))*p)*p**16)/(p**6/p*p*p*p**(-9/4)))**16 assuming p is positive. p**(1388/11) Simplify ((d/d**(-2/5)*d)/(d/(d*d/(d*d/(d/d**(-4)*d)*d*d))))/((d*d**(-2/7))/d)**(-47)*((d/d**(-1/3))/d)/d**(5/2)*d**(-2)/(d*d*d*d**3*d) assuming d is positive. d**(-4031/210) Simplify ((s**(-20)/s)/(s*s**(-2/21)*s)*(s/((s**(-2)/s)/s*s)*s)**43)**38 assuming s is positive. s**(153292/21) Simplify ((r**0)**31*(r*r**(2/11)*r)/(r/(r/r**0)))/((r**1)**(-6/13)*(r/((r**(2/5)/r*r)/r))/(r/(r*r/(r*(r/(r**3*r)*r)/r)))) assuming r is positive. r**(-1399/715) Simplify ((l**(-1/4)/l)/(l**(-8)/l))**11/(l*l**(-1/12)*l*l*(l/l**5*l)/l*(l**(-2/7))**(-32)) assuming l is positive. l**(1621/21) Simplify (((j*j**(1/13))/(j**(-11)*j*j))/(j/(j/((j/(j*j/j**(-2/7)))/j))*j**(3/4)*j))**(-1/50) assuming j is positive. j**(-3863/18200) Simplify ((n**(6/31))**(-46)/(n**(17/4)/n)**(-6/11))**(-48) assuming n is positive. n**(116712/341) Simplify (((l**(-17)/l)/(l/(l*l/(l/(l**31/l)))))/(l/l**10)**(-45))**(-38) assuming l is positive. l**14934 Simplify z*z/(z/z**(-1))*z/(z*z**(-3/8))*z*z**9*(z**(-1/10)*z)/z*((z/(z/(z*z*(z**1/z*z*z)/z)))/z)**(-11/8)/((z/z**3)/(z/(z**(1/4)/z))) assuming z is positive. z**(451/40) Simplify ((((t**(-2/41)/t)**(-1/61))**(2/47))**(-1/10))**(22/3) assuming t is positive. t**(-946/1763205) Simplify (((((r*((r/r**(-1/4))/r)/r*r)/r)/r)/r**(-11))/(((r/r**(-6/11))/r)/(r/r**21)))**40 assuming r is positive. r**(-4530/11) Simplify ((c**0)**(-20))**6*(c**(3/4)/(((c/c**(-2/7))/c)/c*c))/(c**3/((c*(c**(-1/8)*c)/c*c)/c)) assuming c is positive. c**(-93/56) Simplify ((f*f/f**13)/f)**(-5/4)/(f**24)**(-6) assuming f is positive. f**159 Simplify (q**(2/9)/q**(1/4)*(q*q**0)**9)/(q**(-1)/q*q**4)**(40/3) assuming q is positive. q**(-637/36) Simplify (v**(1/5)*v**0)/(v*(v/((v/(v**(-1)/v))/v*v))/v)**(-2/39)*(v**0*v**(-2)*v*v)**(-3/2) assuming v is positive. v**(19/195) Simplify (m/(m/((m/m**(2/85))/m)))/((m/(m/m**13*m))/m*m)*(m**(-18))**(2/57) assuming m is positive. m**(-20438/1615) Simplify (((z**6*z)/(z*(z/(z**18*z))/z))/(z*z**(2/9))**(1/66))**(-40) assuming z is positive. z**(-26980/27) Simplify ((z*(z/((z*z*z**(-2/3))/z*z))/z)**(21/2)/(((z*z**(-2/7)/z*z)/z)/(z**(3/4)*z)))/(z**9/(z**10/z))**(8/3) assuming z is positive. z**(-41/28) Simplify ((f*f/f**(2/13)*(((f**12/f)/f)/f)/f*(((f/(f*f/f**(-11))*f)/f)/f)/f*f/(f*f*f*f**1*f*f))**(3/5))**(-2/41) assuming f is positive. f**(714/2665) Simplify r**(-1/3)/r**6*(r**6/r)/r*r**(2/7)/r*(r/(r/(((r/(r**0/r))/r*r)/r)))**15*(r**1)**(2/5) assuming r is positive. r**(1297/105) Simplify (((((k**(3/4)/k)/k)/k)/(k**(1/3)/k*k))/((k/k**(5/4))/((k**8*k)/k)))/((k*k*k**(2/3))**(-32)/(k**(-2/3)*k**(-2))) assuming k is positive. k**(265/3) Simplify ((f**(-3/2))**(9/11)/(((f/f**23)/f)/f*f/f**9))**(2/87) assuming f is positive. f**(677/957) Simplify ((d/(d/d**(-2/17)))/(d**(1/17)*d*d)*d**(2/23)/d*d*d**(-24))**(6/11) assuming d is positive. d**(-61206/4301) Simplify l**(-1/2)/l*l**(-18)*l*(l/l**(-4/7))**(-17) assuming l is positive. l**(-633/14) Simplify (y**5*y**(-1/3)*y**2/(y/(y/(y*y/y**(4/3)*y))))/((y**(1/2))**2*(y*y*(y**(2/11)/y*y)/y)/y*y*(y/((y/(y**(-2/9)*y))/y*y))/y) assuming y is positive. y**(301/99) Simplify ((a*a**(-2/7))**45)**(-49)*(a/(a**1/a))**(-7/4)/((a/a**(-2/17)*a)/((a/(a*(a*a/((a**(-1/5)*a)/a*a))/a)*a)/a)) assuming a is positive. a**(-536883/340) Simplify (((c*c*c/(c*c**(-2/5))*c*c)/c)**(1/43))**(-36)/(c*(c*c**(-5)*c*c)/c*c/(c/(c*c/(((c/c**(-7))/c)/c)))*c*c)**(-4/3) assuming c is positive. c**(-5276/645) Simplify v/(((v/(v*((v*v**(1/27))/v)/v))/v)/v)*(v/v**20)/v*v/(v*v*v**(-1/34)*v)*v/v**(-4/5) assuming v is positive. v**(-83233/4590) Simplify (((b/b**2)/(b**(-1/7)*b))/(b**(-1/3))**(-5/8))/((b**(-2/3))**(3/20)/(b/(b/(b/b**3)*b)*b/b**0)) assuming b is positive. b**(-3331/840) Simplify (p*p**(2/17)*p*p/(p**0/p*p)*p)/((p*p**(-1/2))/p**6)*(((p/p**(4/5))/p)/p**(2/9))**2 assuming p is positive. p**(11587/1530) Simplify ((((d/(d/d**(11/3))*d*d)/d)/(d/((d/(d/d**(-7)))/d)))**(7/4))**(-2/3) assuming d is positive. d**(91/18) Simplify ((s**(-1))**(-2/7))**(2/41)/((s**4*s**(7/3))/(s/(s*s*s/(s**0/s)))**(-20/9)) assuming s is positive. s**(299/861) Simplify (j*j**(1/6)*j*j**(21/4)*(j/(j/(j**(1/16)/j)))/j**(1/12))**(3/4) assuming j is positive. j**(307/64) Simplify ((((q*q**8*q*q*q)/q)/q)/q**10*q**(-1/19)*q*q**14)**(3/19) assuming q is positive. q**(852/361) Simplify ((q**0)**(-48))**(2/23)*(q*q/(q*q**0))**(-2/37)*(q/(q**(-1)*q*q)*q)**(-13/5) assuming q is positive. q**(-491/185) Simplify k**(-3)*k*k**0*k**(-2/9)*k*k**3/k*((k**(-3/4)*k*k)/(k*k*k**(2/25)*k))**0 assuming k is positive. k**(7/9) Simplify (k*(k*k**(6/17))/k)**(6/11)*k**(-7/2)/(k**(4/7)/k*k) assuming k is positive. k**(-8727/2618) Simplify (((r/((r/r**(12/7))/r))/r**14)/((r*r/(r*r**(-1/2)))/((r*r/r**(3/17))/r*r)))**8 assuming r is positive. r**(-10436/119) Simplify (((((y*y**(2/5))/y*y*y)/y)/(y*y/(y*(y/(y**(-2)*y))/y)*y))/(y**(-2/9)/y**(-3)))/(y**(1/11)/((y**4*y)/y*y))**(3/2) assuming y is positive. y**(2468/495) Simplify ((m*m**(-1/2)*m)**(-17/2))**(-41)/(m**(-2/13)/((m*m**5)/m*m))**(-5/11) assuming m is positive. m**(297413/572) Simplify ((((w*w*w**(3/10))/(w*w**(4/9)))**(-44))**(-1/2))**(-15/2) assuming w is positive. w**(-847/6) Simplify ((((h**(2/5))**(11/5))**(-38))**(-5/16))**(-2/87) assuming h is positive. h**(-209/870) Simplify ((z**4*z)**(2/141)*z**(17/4)/z**(-13/4))**24 assuming z is positive. z**(8540/47) Simplify (x**4*x**2*x*x*x**4/x*x**(3/4))/(x**(4/3)/x*x*x**5*x*x*(x*x**1)**(-27)) assuming x is positive. x**(689/12) Simplify u**5/((u*((u*u**(-5))/u*u*u)/u*u*u*u)/u*u)*u**(1/12)*u**(-3)*(u**(-10)*u*u**(-3))**(-2/25) assuming u is positive. u**(913/300) Simplify ((((v*v**2)/(v**(-1/3)*v*v))**9)**(-4/29))**17 assuming v is positive. v**(-816/29) Simplify (a**(3/2)/(a/(a*a*a**(-8))))/(a**(1/12)/a**(-2/29))*(a*a**(2/5)*a)**(18/11)/(a/a**5*a**(-1/2)) assuming a is positive. a**(53113/19140) Simplify ((a**(-4/5)*a*a**(-1/28))/(a**(2/19)*a*a*a*a**(-8)))**(-3/4) assuming a is positive. a**(-40371/10640) Simplify (i**(-9)/(i*i/(i**(-7)*i)*i*i)*i*i*i**(5/6)*i*(i**(-3/7)*i)/i)/((i*i*i**(-3/2)*i)/i*(i*(i**(2/5)*i)/i)/i)**(-13) assuming i is positive. i**(-409/105) Simplify (p*p**14*p*p/p**(2/51)*(p*(p*p**(-13)*p)/p)**(2/59))**(7/9) assuming p is positive. p**(349391/27081) Simplify (a**(4/3)/a**(-1)*(a**(-2/5))**5)/((a**(-3)*a/(a/(a*a*a**(1/4))*a))/(a**(-6)/a**(-1))) assuming a is positive. a**(-35/12) Simplify ((t**0)**(-14))**(-12/11)*((t*t**2)/t**0)**(7/3) assuming t is positive. t**7 Simplify ((((l**(-4)*l)**6)**(1/14))**(-1/48))**0 assuming l is positive. 1 Simplify ((s/(s/(s/(s*s**(-2/119)*s*s))))/s*s**(-1/2)*((s/s**(-2
{ "pile_set_name": "DM Mathematics" }
et b(n) = 69*n. Let u(o) = 1173*o. Determine l*u(h) - 69*b(h). -69*h Let a(w) = -8*w**3 + 5*w**2 + 5*w - 1. Let i(g) be the first derivative of g**4/4 + g**3/3 + g**2/2 - 2166. Give a(b) - 5*i(b). -13*b**3 - 1 Let d(t) = 3*t**2 - t + 1. Let c(b) = 80*b**2 - 40*b**2 - 39*b**2. Let u(q) = 4*c(q) - d(q). Let f(y) = 8*y**2 + 14*y - 14. Calculate f(l) - 12*u(l). -4*l**2 + 2*l - 2 Let w(o) = 45*o**3 - 191*o**2 - 23*o + 8. Let v(h) = 10*h**3 - 48*h**2 - 6*h + 2. Determine -23*v(r) + 6*w(r). 40*r**3 - 42*r**2 + 2 Let c(y) = 10*y**3 + 539*y**2 - 2*y + 7. Let r(f) = 6*f**3 + 270*f**2 - f + 4. Calculate 4*c(v) - 7*r(v). -2*v**3 + 266*v**2 - v Let j(c) = 12*c**3 - 4*c**2 + 8*c - 1. Let y(d) = -82*d**3 + 29*d**2 - 53*d + 7. Give -15*j(g) - 2*y(g). -16*g**3 + 2*g**2 - 14*g + 1 Let c(p) = -3*p**2 - 1. Let b(g) = -1435*g**2 + 2*g - 1. Give b(t) - c(t). -1432*t**2 + 2*t Let j(f) = 13*f + 12. Let t(a) = -12*a - 11. Let m = -54 - -48. Let l(z) = m*j(z) - 7*t(z). Let s(g) = -g - 1. Determine 2*l(i) + 11*s(i). i - 1 Let o = -3 - -4. Let l = 349 + -323. Let r(v) = -v + 31. Let u be r(l). Let p(f) = -3*f - 4. Let a(c) = c + 1. Give o*p(q) + u*a(q). 2*q + 1 Let u(r) = -17*r**3 - 12*r - 14. Let n = 117 + -115. Let z(q) = 0*q**n + 7380*q - 7376*q + 0*q**2 + 5 + 6*q**3. Determine -4*u(y) - 11*z(y). 2*y**3 + 4*y + 1 Let x(s) = -21*s**3 - 6*s**2 - 2088*s. Let t(h) = -39*h**3 - 11*h**2 - 4174*h. Determine -6*t(l) + 11*x(l). 3*l**3 + 2076*l Let f(d) = 7*d + 15. Suppose -130 + 60 = -5*v. Let r(k) = 38*k - 7 - 27*k - v*k. What is 2*f(m) + 5*r(m)? -m - 5 Let m(h) = 17*h**3 + 5*h**2 + 60*h - 10. Let l(p) = 8*p**3 + 3*p**2 + 30*p - 6. Give -5*l(k) + 3*m(k). 11*k**3 + 30*k Let x(z) = -z + 2. Let j(l) = 229*l + 4 + 163*l - 1 - 395*l. Determine -3*j(c) + 5*x(c). 4*c + 1 Suppose -3*n - 66*b = -69*b - 18, 3*n - 4 = b. Let y(x) = x + 1. Let i(w) = 4*w**2 + w - 2. What is n*i(o) + 2*y(o)? -4*o**2 + o + 4 Let k(w) = 2*w - 4. Let y(v) = -14*v - 1413. Give -6*k(q) - y(q). 2*q + 1437 Let i(q) = -19*q**3 - 16671*q. Let l(p) = -11*p**3 - 8335*p. Determine 4*i(y) - 7*l(y). y**3 - 8339*y Let u(b) be the second derivative of b**3/6 - b**2/2 + 2*b + 2. Let q(i) = -3*i + 7. Let t = -95 - -99. Let x = 2 + -1. Determine t*u(l) + x*q(l). l + 3 Let a be (-1 + 6)/(27 - 49 - -21). Let l(r) = 4*r**2 + 27*r - 5. Let h(i) = -i**2 + i + 1. Determine a*h(s) - l(s). s**2 - 32*s Let i(l) = -8*l - 81. Let b be i(-10). Let r(o) be the first derivative of -o**3/3 - 130. Let z(h) = 6*h**2 - h - 1. What is b*z(m) - 5*r(m)? -m**2 + m + 1 Let d(b) = 8*b**3 + 50*b**2 - 2*b + 215. Let l(c) = 3*c**3 + 18*c**2 - c + 72. Determine -4*d(o) + 11*l(o). o**3 - 2*o**2 - 3*o - 68 Let z(h) = -7420*h**3 + 29680*h**2 - 14840*h - 59360. Let a(p) = -2*p**2 + p + 4. Give 14840*a(j) + z(j). -7420*j**3 Let q(d) = 13*d + 6. Let g(o) = -14*o - 7. Let s(k) = 6*g(k) + 7*q(k). Suppose -51*r + 528 = 86*r + 127*r. Let p(z) = z**2 + 36*z. Give r*p(l) - 11*s(l). 2*l**2 - 5*l Let q(x) = 35*x + 1711. Let l(m) = -9*m - 408. What is -23*l(z) - 6*q(z)? -3*z - 882 Let j(n) = 8*n**3 - 19*n**2 - 12*n + 7. Let v(r) = -r**3 + 4*r - 2. What is -j(w) - 4*v(w)? -4*w**3 + 19*w**2 - 4*w + 1 Let c(f) be the second derivative of -7*f**3/6 + 3*f**2 + 2943*f. Let t(z) = -6*z + 7. What is 4*c(h) - 5*t(h)? 2*h - 11 Let j(s) = 59101*s**3 + 14*s**2 - 7*s + 21. Let b(o) = 19701*o**3 + 4*o**2 - 2*o + 6. Determine 7*b(v) - 2*j(v). 19705*v**3 Let k = 673 - 674. Let l(v) = 6*v**3 + 2*v**2 - 2*v - 4. Let t(i) = -1 - 5*i + 65*i**2 - i**3 + 4*i - 64*i**2. Give k*l(b) + 4*t(b). -10*b**3 + 2*b**2 - 2*b Let l(n) = -n**3 - 15*n**2 - 3*n + 6. Let r(p) = -9*p**3 - 136*p**2 - 30*p + 57. Give -19*l(c) + 2*r(c). c**3 + 13*c**2 - 3*c Let b(w) = -w**2 + w + 1. Let c(y) be the third derivative of -y**5/10 + y**4/6 - y**3/2 + 1637*y**2 + 2*y. Determine -4*b(k) + c(k). -2*k**2 - 7 Let q(z) = 6*z**3 - 149*z**2 - 11*z - 11. Let h(u) = -2*u**3 + 5207 - 50*u**2 - 3*u - u + 4*u**3 - 5211. Determine -11*h(g) + 4*q(g). 2*g**3 - 46*g**2 Let b(s) = 1721*s**3 + 6*s**2 + 6*s + 42. Let h(r) = 1720*r**3 + 5*r**2 + 5*r + 35. What is 5*b(o) - 6*h(o)? -1715*o**3 Let s(n) = -384*n + 15. Let x(b) = -b + 4. Calculate s(k) - 4*x(k). -380*k - 1 Let r(s) be the second derivative of s**3 + 3*s**2/2 - 5992*s. Let t(l) = -17*l - 8. Suppose 5*g = -3*j + 48, -6*j = -j - 3*g - 46. Calculate j*r(u) + 4*t(u). -2*u + 1 Let k(f) be the second derivative of 0*f**4 + 0 + 0*f**2 - 1/10*f**5 - 1/2*f**3 - 121*f. Let v(q) = 5*q**3 + 5*q. Determine -10*k(i) - 6*v(i). -10*i**3 Let z be 0 + -8*(-2)/4. Let y(d) = 5*d + d**2 - 5*d**2 - 1 - z*d + 3*d**2. Let f(a) = 4*a**2 + 2. Let k be (-2)/((-10)/15) - 2. Give k*f(i) + 2*y(i). 2*i**2 + 2*i Let s(a) = -a**2 + a - 1. Let g = -22437 + 22429. Let p(x) be the third derivative of 0 - 1/6*x**5 + 1/3*x**4 + 0*x - 3*x**2 - 4/3*x**3. What is g*s(z) + p(z)? -2*z**2 Let y(g) = -362*g - 9. Let o(a) = -703*a - 17. Calculate 6*o(z) - 11*y(z). -236*z - 3 Let v(u) = 41*u**3 - 6. Let y(g) = -83*g**3 + 13. Let s = 21947 - 21941. Give s*y(c) + 13*v(c). 35*c**3 Let i(x) = x - 1. Let l(j) = 6*j + 4. Let p be 55 + -42 + 32/(-4). Give p*i(h) - l(h). -h - 9 Let l(p) = 2*p**3 - 3*p**2 - 7*p - 4. Let f(k) = 92*k**3 - 7 - 1280*k + 1267*k - 5*k**2 - 88*k**3. What is 3*f(u) - 5*l(u)? 2*u**3 - 4*u - 1 Let v(g) = -100*g + 405. Let y be v(4). Let o(w) = 78*w**3 - 14*w**2 + 14. Let t(k) = -26*k**3 + 5*k**2 - 5. Determine y*o(x) + 14*t(x). 26*x**3 Let f(k) = -k + 7. Let o(b) = 9*b**2 - 1. Let c be o(1). Let s be f(c). Let z(g) = g**2 + 2*g + 5. Let h(j) = j + 1. What is s*z(n) + 5*h(n)? -n**2 + 3*n Let q(i) = -12*i**3 - 3*i**2 - 7*i + 163. Let w(s) = 10*s**3 + 2*s**2 + 6*s - 163. What is 4*q(y) + 5*w(y)? 2*y**3 - 2*y**2 + 2*y - 163 Let m(i) = -98*i**2 + 46*i - 24. Let y(p) = 32*p**2 - 15*p + 7. Give 2*m(l) + 7*y(l). 28*l**2 - 13*l + 1 Let g(h) = -3*h. Let w = -2 + -19. Let m(r) = -4*r - 85. Let q be m(w). Let b(o) = -o - 1. Let t(s) = 4*s + 4. Let x(l) = 5*b(l) + t(l). Give q*g(u) + x(u). 2*u - 1 Let s(z) = 5*z**2 + 15*z + 48. Let j(m) = -3*m**2 - 6*m - 24. Calculate 5*j(g) + 2*s(g). -5*g**2 - 24 Let w(b) = 6*b**2 - 315*b + 3735. Let z(n) = 5*n**2 - 270*n + 3736. Give 6*w(u) - 7*z(u). u**2 - 3742 Let f(v) = -2*v**3 + 4*v**2 - 9. Let o(i) = -4*i**3 + 7*i**2 - 18. What is 7*f(k) - 4*o(k)? 2*k**3 + 9 Let z(r) = 1444*r - 6. Let n(o) = 1483*o - 5. What is -6*n(w) + 5*z(w)? -1678*w Let p(b) = -177*b + 17. Let r(f) = -526*f + 53. Determine 7*p(s) - 2*r(s). -187*s + 13 Let g(c) = 30*c**2 + 33*c + 78. Let x(b) = 7*b**2 + 8*b + 19. Give -2*g(r) + 9*x(r). 3*r**2 + 6*r + 15 Suppose 161*x = -167*x + 311*x + 34. Suppose 6*k = 2*k + 44. Let g(o) = -10*o + 6. Let m(z) = 2*z - 1. What is k*m(j) + x*g(j)? 2*j + 1 Let d(y) = 8*y. Let h(f) = -88*f + 2. Determine 10*d(t) + h(t). -8*t + 2 Let q(l) = -l**2 + l + 1. Let o be (-20)/(-3 - 2)*(5 + (-76)/16). Let j(v) = -2*v**2 + 4*v - 1. What is o*j(i) - 3*q(i)? i**2 + i - 4 Let t(m) = m - 1. Let y be 0 - -8 - (-23 - (32 - 62)). Let b(q) = q - 4. Determine y*b(a) - 2*t(a). -a - 2 Let t(f) = 8*f - 20. Let y(x) = 1. Let w be (-5 - 6) + 18/2. Calculate w*t(h) - 40*y(h). -16*h Let f(u) = -31*u**2 + 191*u - 2. Let q(r) = 69*r**2 - 383*r + 4. What is -9*f(b) - 4*q(b)? 3*b**2 - 187*b + 2 Suppose -24 = -10*h - 2*h. Suppose -k - 3*b - 3 = 2, -h*k - 5 = b. Let v(w) = -13 + 7 + 5. Let d(i) = -i**2 - 2. Give k*d(x) + 4*v(x). 2*x**2 Let s(p) = -98*p**2 - 23*p + 36. Let w(n) = -153*n**2 - 35*n + 54. Calculate 11*s(x) - 7*w(x). -7*x**2 - 8*x + 18 Let b = -353 - -357. Suppose -16*i - b*a = -20*i, -2*a = 2*i - 8. Suppose r = -3*r - 12. Let v(q) = 2*q + 4. Let j(u) = u**2 + 2*u + 5. Give i*j(h) + r*v(h). 2*h**2 - 2*h - 2 Let i(m) = m**2 - 9*m - 110. Let u be i(-7). Suppose u*d - 2 = v - 5, 3*v = d - 1. Let y(j) = j**2 + j + 1. Let s(a) = 3*a**2 + 4*a + 4. Give v*s(z) + 4*y(z). z**2 Let f(y) be the third derivative of 1/24*y**4 + 2*y**2 + 0*y + 0 - 1/3*y**3. Suppose -40*z + 63 = -57. Let h(l) = -6*l + 10. Calculate z*h(o) + 16*f(o). -2*o - 2 Let d(h) = -2*h**2 + 60 + 62 - 117. Let z(b) be the second derivative of b**4/12 - b**2/2 + 14*b. Calculate d(j) + 5*z(j). 3*j**2 Let b = -1 + -2. Let s(d) = -1. Let q(c) = -6*c + 7. Let m(a) = q(a) + 6*s(a). Let t(i) be the first derivative of 5*i**2/2 - i - 2946. G
{ "pile_set_name": "DM Mathematics" }
10) in base 16? 1 15 (base 10) to base 11 14 4 (base 13) to base 2 100 Convert 5 (base 8) to base 4. 11 What is 1 (base 16) in base 13? 1 Convert 2 (base 7) to base 14. 2 What is -2 (base 10) in base 7? -2 What is -12220 (base 3) in base 10? -159 -6 (base 7) to base 6 -10 What is -1012 (base 4) in base 5? -240 1 (base 10) to base 15 1 3 (base 8) to base 12 3 What is -4a (base 12) in base 4? -322 Convert -5 (base 9) to base 6. -5 Convert -10111 (base 2) to base 4. -113 Convert -2 (base 6) to base 9. -2 What is 8 (base 11) in base 3? 22 What is 14 (base 16) in base 12? 18 What is -6 (base 14) in base 6? -10 Convert 26 (base 16) to base 7. 53 What is 9 (base 12) in base 9? 10 Convert -12 (base 12) to base 14. -10 What is 3 (base 12) in base 11? 3 What is 7 (base 16) in base 4? 13 What is 0 (base 15) in base 16? 0 Convert 14 (base 7) to base 5. 21 186 (base 12) to base 11 204 What is 3 (base 11) in base 15? 3 Convert -13 (base 5) to base 13. -8 What is -3 (base 15) in base 5? -3 Convert -3 (base 11) to base 2. -11 What is 5 (base 11) in base 10? 5 What is -2 (base 11) in base 14? -2 What is 1 (base 9) in base 10? 1 130 (base 7) to base 8 106 -1 (base 13) to base 8 -1 What is -1c2 (base 15) in base 5? -3112 Convert -30 (base 5) to base 2. -1111 What is 0 (base 5) in base 11? 0 What is -11c (base 14) in base 12? -166 -453 (base 6) to base 14 -c9 What is 10302 (base 4) in base 14? 17c 30 (base 9) to base 15 1c What is 5 (base 6) in base 2? 101 -1 (base 14) to base 8 -1 What is -2 (base 8) in base 11? -2 Convert 111 (base 6) to base 16. 2b What is 6 (base 13) in base 3? 20 What is -c (base 15) in base 10? -12 1 (base 4) to base 9 1 b (base 12) to base 2 1011 What is 122 (base 9) in base 2? 1100101 Convert -22 (base 3) to base 7. -11 -3 (base 9) to base 3 -10 Convert -4 (base 15) to base 4. -10 What is 7 (base 8) in base 3? 21 Convert -10 (base 4) to base 12. -4 -123 (base 5) to base 2 -100110 Convert 163 (base 11) to base 8. 276 What is 7 (base 16) in base 14? 7 Convert 1b (base 14) to base 9. 27 -1 (base 4) to base 14 -1 3 (base 6) to base 4 3 Convert -1b (base 14) to base 4. -121 What is -1 (base 15) in base 8? -1 -2 (base 6) to base 7 -2 What is 8 (base 16) in base 2? 1000 -23 (base 14) to base 4 -133 What is 32 (base 8) in base 2? 11010 Convert -4 (base 11) to base 4. -10 What is 211 (base 3) in base 5? 42 What is -101 (base 7) in base 13? -3b Convert 310 (base 4) to base 7. 103 What is 1 (base 7) in base 8? 1 11 (base 7) to base 16 8 What is 1 (base 10) in base 9? 1 Convert 10100 (base 3) to base 8. 132 Convert 11 (base 4) to base 14. 5 What is 20 (base 6) in base 16? c Convert 13 (base 11) to base 10. 14 Convert -3 (base 10) to base 5. -3 Convert -2 (base 16) to base 5. -2 What is -35 (base 16) in base 4? -311 -1110 (base 2) to base 6 -22 What is 3 (base 11) in base 15? 3 -4 (base 8) to base 15 -4 Convert 3 (base 12) to base 15. 3 Convert -2 (base 14) to base 15. -2 Convert 1b (base 14) to base 8. 31 Convert -11b (base 13) to base 14. -db 6 (base 15) to base 5 11 Convert 120 (base 3) to base 10. 15 What is -129 (base 10) in base 4? -2001 What is -2121 (base 3) in base 12? -5a Convert -20021 (base 3) to base 10. -169 Convert -101 (base 2) to base 6. -5 Convert -30 (base 4) to base 8. -14 Convert 2a (base 15) to base 5. 130 Convert 8 (base 15) to base 13. 8 172 (base 12) to base 16 e6 -20 (base 4) to base 5 -13 Convert -2 (base 16) to base 9. -2 Convert -1300 (base 4) to base 13. -88 Convert -9 (base 13) to base 15. -9 -34 (base 16) to base 4 -310 What is -1 (base 2) in base 11? -1 1 (base 16) to base 2 1 What is 3a (base 11) in base 2? 101011 What is 24 (base 5) in base 10? 14 Convert 21 (base 3) to base 16. 7 -17 (base 12) to base 2 -10011 Convert 2 (base 16) to base 5. 2 What is 1 (base 9) in base 16? 1 What is 1 (base 16) in base 13? 1 What is -6 (base 13) in base 4? -12 What is -10 (base 12) in base 15? -c Convert -211 (base 3) to base 11. -20 Convert 5 (base 14) to base 15. 5 -34 (base 12) to base 15 -2a What is 5 (base 10) in base 12? 5 6 (base 16) to base 15 6 Convert 10 (base 8) to base 11. 8 Convert 12 (base 3) to base 10. 5 20 (base 13) to base 16 1a What is 11232 (base 4) in base 10? 366 What is -5 (base 10) in base 14? -5 11100 (base 2) to base 4 130 10 (base 15) to base 16 f 1011010 (base 2) to base 14 66 10 (base 11) to base 8 13 -22 (base 4) to base 16 -a Convert -3 (base 13) to base 14. -3 What is -1022 (base 3) in base 11? -32 3 (base 7) to base 15 3 What is 13 (base 5) in base 6? 12 Convert 7 (base 12) to base 16. 7 What is 110 (base 2) in base 13? 6 -267 (base 8) to base 10 -183 Convert -8 (base 15) to base 16. -8 Convert -1 (base 5) to base 2. -1 102 (base 4) to base 8 22 -1010 (base 2) to base 14 -a -117 (base 13) to base 4 -2331 Convert -8 (base 9) to base 13. -8 What is 18 (base 14) in base 15? 17 -1 (base 11) to base 10 -1 Convert 5 (base 10) to base 2. 101 Convert -5 (base 14) to base 12. -5 3 (base 16) to base 10 3 Convert 163 (base 10) to base 12. 117 Convert -13 (base 15) to base 3. -200 Convert 14 (base 6) to base 13. a 121 (base 6) to base 9 54 What is 3 (base 11) in base 7? 3 Convert 210 (base 7) to base 2. 1101001 32 (base 4) to base 11 13 -23 (base 9) to base 5 -41 What is 0 (base 15) in base 10? 0 What is 1 (base 9) in base 10? 1 What is 0 (base 5) in base 14? 0 -2 (base 14) to base 6 -2 Convert 2101 (base 3) to base 8. 100 12 (base 12) to base 13 11 -65 (base 9) to base 6 -135 What is -1010 (base 2) in base 11? -a Convert -18 (base 9) to base 15. -12 Convert -8 (base 9) to base 14. -8 What is -366 (base 9) in base 6? -1223 -2 (base 5) to base 14 -2 -31 (base 15) to base 5 -141 10 (base 6) to base 14 6 Convert 17 (base 11) to base 4. 102 Convert -14 (base 7) to base 2. -1011 What is -2 (base 12) in base 8? -2 40 (base 7) to base 4 130 -1b (base 15) to base 6 -42 Convert 28 (base 14) to base 8. 44 52 (base 8) to base 10 42 What is 30 (base 6) in base 4? 102 What is 143 (base 7) in base 8? 120 -102 (base 3) to base 7 -14 Convert -24 (base 13) to base 10. -30 Convert -3 (base 4) to base 14. -3 What is -1 (base 2) in base 15? -1 Convert -1011 (base 3) to base 10. -31 2 (base 10) to base 2 10 Convert -16 (base 7) to base 5. -23 What is a8 (base 13) in base 6? 350 What is -6 (base 14) in base 16? -6 What is -1 (base 16) in base 4? -1 Convert 0 (base 3) to base 10. 0 Convert -8 (base 11) to base 5. -13 Convert -4 (base 11) to base 13. -4 Convert 1 (base 12) to base 5. 1 -3 (base 12) to base 9 -3 -563 (base 7) to base 13 -194 0 (base 3) to base 4 0 What is 2 (base 16) in base 3? 2 Convert 4 (base 5) to base 6. 4 32 (base 15) to base 12 3b 2 (base 16) to base 8 2 What is 1 (base 15) in base 14? 1 Convert -131 (base 5) to base 15. -2b Convert 103 (base 5) to base 16. 1c 1330 (base 4) to base 16 7c What is -4 (base 16) in base 11? -4 -1011 (base 3) to base 14 -23 -21 (base 3) to base 12 -7 Convert 30 (base 5) to base 2. 1111 What is -113 (base 7) in base 13? -47 Convert -2 (base 10) to base 13. -2 Convert 5 (base 12) to base 2. 101 12 (base 3) to base 6 5 Convert 4d (base 14) to base 13. 54 What is 2 (base 8) in base 14? 2 What is 44 (base 16) in base 4? 1010 -18 (base 15) to base 12 -1b 4 (base 11) to base 4 10 Convert 13 (base 16) to base 2. 10011 What is -228 (base 9) in base 7? -356 Convert 41 (base 6) to base 3. 221 Convert -34 (base 8) to base 11. -26 9 (base 10) to base 2 1001 Convert 24 (base 14) to base 6. 52 Convert 10 (base 3) to base 13. 3 -311 (base 4) to base 12 -45 What is 3 (base 13) in base 11? 3 -12 (base 6) to base 12 -8 Convert 1 (base 14) to base 11. 1 56 (base 7) to base 11 38 -20 (base 3) to base 8 -6 Convert -110 (base 3) to base 10. -12 What is 8 (base 11) in base 14? 8 -11221 (base 3) to base 6 -341 Convert -2 (base 10) to base 3. -2 4 (base 12) to base 11 4 Convert 11 (base 2) to base 12. 3 Convert 7 (base 14) to base 13. 7 9 (base 10) to base 11 9 What is 1111 (base 2) in base 14? 11 Convert 5 (base 11) to base 12. 5 Convert -20 (base 3) to base 6. -10 Convert -32 (base 4) to base 2. -1110 -1 (base 10) to base 3 -1 What is -8 (base 15) in base 3? -22 2 (base 15) to base 9 2 -180 (base 11) to base 15 -de Convert -10101100 (base 2) to base 15. -b7 1 (base 4) to base 2 1 What is -3 (base 4) in
{ "pile_set_name": "DM Mathematics" }
e x(s(d)). 7*d Let h(g) = 2*g**2. Let z(b) be the third derivative of -11*b**4/24 + 7*b**2. Calculate h(z(o)). 242*o**2 Let w(a) = -a - 2*a + 0*a + 6*a. Let j(z) = 14*z. What is j(w(f))? 42*f Let r(u) = -u - 3*u + 3*u. Let d = 12 - 9. Let j(p) = -d*p**2 - p**2 + p**2 - 2*p**2. Give j(r(g)). -5*g**2 Let b(j) = -j - 1. Let x(k) = -4*k - 5. Let a(v) = 5*b(v) - x(v). Let u be (-1 - -2)/(-1) + 5. Let q(r) = 3 - 3 - u*r. What is q(a(f))? 4*f Let v(j) be the third derivative of j**4/24 - 3*j**2. Let x(l) be the third derivative of -5*l**4/24 + l**2. Give x(v(g)). -5*g Let v(w) = -2*w - 23. Let q(n) = -2*n**2. Determine v(q(l)). 4*l**2 - 23 Let u(q) = -q. Let m(t) = -14*t**2 - 7. Let n(x) = 7*x**2 + 3. Let w(r) = 6*m(r) + 14*n(r). What is u(w(f))? -14*f**2 Let t(l) = 13*l**2. Let b(c) be the second derivative of -c**4/12 - c. Give b(t(j)). -169*j**4 Let q(w) be the third derivative of w**5/40 + w**3/6 + 2*w**2. Let b(u) be the first derivative of q(u). Let r(g) = -g. Calculate b(r(o)). -3*o Let o(g) = 2*g**2. Let t = -5 + 10. Let r(p) = p + 3*p - t*p. Determine r(o(v)). -2*v**2 Let j(g) = 98*g. Let u(t) = -162*t**2 + 1. Calculate u(j(m)). -1555848*m**2 + 1 Let f(c) be the first derivative of 3*c**2 - 51. Let o(q) = 3 - 3 + q**2. What is o(f(z))? 36*z**2 Let l(z) = z**2. Let w be (-11 - -15)*2/4. Let c(q) be the second derivative of 0*q**w + 1/12*q**4 + 0 + 0*q**3 - 3*q. What is c(l(t))? t**4 Let n(i) be the second derivative of i**3/3 + 8*i. Let x(y) = 29*y. Determine n(x(d)). 58*d Let g(w) = -w. Let d(x) be the first derivative of x**5/60 - x**3 - 4. Let i(n) be the third derivative of d(n). Give i(g(m)). -2*m Let z(f) = -f**2. Let a = 7 - 3. Suppose -2*r = -3*b - 2, -4*b + 29 = a*r + 5. Let t(q) = -b*q + 3 - 3 + 3*q. Calculate z(t(m)). -m**2 Let b(m) = 22*m**2 - 34*m. Let k(w) = -2*w**2 + 3*w. Let q(v) = -6*b(v) - 68*k(v). Let z(d) be the second derivative of d**4/6 - 2*d. Give z(q(j)). 32*j**4 Let h(p) = -203*p. Let s(z) = 4*z**2. What is s(h(q))? 164836*q**2 Let w(s) = s. Let d(z) = z + 1. Let c(o) = 3*o + 1. Let h(u) = 2*c(u) - 2*d(u). Let l(i) = -2*h(i) + 6*w(i). Let t(n) = -3*n**2. Give t(l(m)). -12*m**2 Let o(b) be the third derivative of -b**4/6 - 23*b**2. Let x(k) = k**2. Determine o(x(q)). -4*q**2 Let q(g) = -326*g**2. Let k(m) = -11*m. What is k(q(l))? 3586*l**2 Let v(d) = -4*d + 2*d + 0*d. Let m(g) = g + 7. Let a(i) = 3. Let y(l) = 7*a(l) - 3*m(l). Give v(y(f)). 6*f Let k(w) = -88*w - 9. Let a(i) = -5*i**2. What is k(a(v))? 440*v**2 - 9 Let q(k) = 9*k. Let c(u) = 352*u**2. Calculate c(q(s)). 28512*s**2 Let o(p) = -16*p + 5*p + 9*p. Let q(n) = 2*n**2. Calculate o(q(t)). -4*t**2 Let c(v) = 4*v**2. Suppose 0 = 2*h + 4*n - 9*n, 2*n - 9 = -h. Let y(o) = -h*o + 0*o + 3*o + 3*o. What is y(c(x))? 4*x**2 Let a(b) = -2*b. Let c = -21 + 24. Let x(v) be the second derivative of 0*v**3 + 0*v**2 - 1/3*v**4 + 0 - c*v. What is x(a(n))? -16*n**2 Let m(a) = 3*a. Let x(r) = -r. Let u(k) = -m(k) - 2*x(k). Let v(i) be the first derivative of -2*i**3/3 - 9. What is v(u(b))? -2*b**2 Let z(h) = 7*h**2. Let a(c) = -254 - 4*c**2 + 254. Calculate a(z(r)). -196*r**4 Let f(s) = -s**2 + s. Suppose 10 = 5*c - 10. Let j(w) = -c*w - w + 5*w**2 + w. Let h(m) = 4*f(m) + j(m). Let r(n) = -3*n. Calculate r(h(a)). -3*a**2 Let k(q) = 9*q**2. Let v(p) = -15*p. What is k(v(d))? 2025*d**2 Let j(f) = -2*f**2 - 10. Let q(l) = -10*l**2. Give q(j(o)). -40*o**4 - 400*o**2 - 1000 Let v(m) = -4*m. Let f(l) = 2*l. Let t(p) = 5*f(p) + 2*v(p). Let w(o) = 14*o - 5. Let b(r) = 21*r - 7. Let x(j) = 5*b(j) - 7*w(j). What is t(x(i))? 14*i Let x(v) = 3*v. Let y(w) = -w**2 + 7*w + 6. Let s be y(7). Suppose -s = q + q + 3*r, 5*q + 5*r + 5 = 0. Let c(o) = -2*o + o + o + q*o. What is c(x(u))? 9*u Let n(k) = -k**2. Let w(p) = 5*p. Let s(z) = -14*z. Let g(l) = 4*s(l) + 11*w(l). What is g(n(r))? r**2 Let j(u) = 3*u**2. Let y(r) be the third derivative of -3*r**5/10 - 2*r**2. Give y(j(q)). -162*q**4 Let x(t) = 2*t. Let u(q) = 222*q**2 - q + 1. Determine x(u(a)). 444*a**2 - 2*a + 2 Let a(t) = 218*t. Let v(r) = 2*r**2. What is a(v(u))? 436*u**2 Let h(x) = 2*x. Let v(k) = 7*k**2 - 5. Let m be (3 - 1)*(-1)/(-2). Let c(u) = 2*u**2 - 3 - m + 4*u**2. Let d(p) = 5*c(p) - 4*v(p). What is h(d(s))? 4*s**2 Let r(b) = 2*b**2. Let o(y) = -53*y. Determine o(r(j)). -106*j**2 Let c = -1 - -3. Let q(u) = 0*u**2 - 3*u**c + 0*u**2. Let p(n) = 0*n - 2*n + 0*n. Calculate p(q(r)). 6*r**2 Let s(m) = -3*m**2. Let f(b) = 44*b**2. What is f(s(y))? 396*y**4 Let i(u) = -4*u + 849 - 849. Let j(v) = -v. What is i(j(g))? 4*g Let f(b) = -11*b**2. Let y(k) = 4*k + 10. Let g(n) = -n - 3. Let s(i) = -10*g(i) - 3*y(i). Calculate s(f(r)). 22*r**2 Let s(x) = -6*x**2 + 0*x**2 + 3*x**2 + 2*x**2. Let w(v) = -v + 19. Determine s(w(u)). -u**2 + 38*u - 361 Let c(i) = -2*i**2. Let r(w) = 1078*w. Calculate r(c(l)). -2156*l**2 Let b(x) = 4*x**2. Let w(v) = -3203*v**2. Give b(w(m)). 41036836*m**4 Let l(p) = 744*p + 1. Let g(v) = 2*v**2. Give l(g(c)). 1488*c**2 + 1 Let j(m) = -m**2. Let l(v) be the first derivative of -13*v**3/3 - 5. Give j(l(s)). -169*s**4 Let i(x) = -4*x**2 - 3*x**2 + 9*x**2. Let q(v) = v**2 + 4*v + 4. Let h(j) = 4*j**2 + 11*j + 11. Let z(b) = 4*h(b) - 11*q(b). Give z(i(o)). 20*o**4 Let v be ((-10)/(-15))/(4/18). Suppose -2*j = -v*j + 15. Let r(u) = 2*u - 15 + j. Let t(s) = s**2. Determine t(r(n)). 4*n**2 Let o(c) = 7*c**2 + 35*c - 35. Let k(m) = m**2 + 6*m - 6. Let v(z) = 35*k(z) - 6*o(z). Let h(y) be the second derivative of y**4/12 - 60*y. Calculate h(v(x)). 49*x**4 Let f(v) = -v. Let p(c) = 139*c. Give f(p(d)). -139*d Let c(z) = -8*z**2. Let r(h) = -39*h. Determine c(r(q)). -12168*q**2 Let y(k) = 6*k. Let s(x) = 218*x**2. Determine y(s(g)). 1308*g**2 Let n(v) = -2*v**2. Let t(y) = -731*y**2. Calculate t(n(q)). -2924*q**4 Let r(u) = -2*u**2. Let c(z) = 326*z**2 + 3. What is r(c(a))? -212552*a**4 - 3912*a**2 - 18 Let k(s) = 2*s**2. Let w(g) = 2*g. Let t be w(2). Let l(a) = 2*a - t*a + a. Give l(k(p)). -2*p**2 Let j(r) = -4*r**2 + 9*r. Let v(b) be the second derivative of -b**3/3 - 17*b - 2. What is v(j(h))? 8*h**2 - 18*h Let u(m) = -5*m**2 + 2. Let w(a) = -a**2 - a - 1. Let h(y) = -y - 1. Let d(b) = h(b) - w(b). Calculate u(d(s)). -5*s**4 + 2 Let h(k) = -9 - 20*k - 9 + 18. Let a(b) = -b. Give a(h(f)). 20*f Let c(f) = -23*f**2. Let d(b) = 2*b. Give c(d(h)). -92*h**2 Let d(c) = -49*c**2. Let v(l) = -3*l. Give v(d(q)). 147*q**2 Let m(w) = -99*w. Let g(k) = 12564 - 12564 + k**2. What is g(m(h))? 9801*h**2 Let l(c) = -7*c**2 - 5*c. Let v(y) = -y. What is v(l(p))? 7*p**2 + 5*p Let n(o) = 6*o. Let r(q) = -8 + q**2 + 3 + 5. Give r(n(f)). 36*f**2 Let l(a) = 2*a**2. Let p(r) be the first derivative of -23*r**3/3 + 8. Give l(p(k)). 1058*k**4 Let w(s) = -1066*s. Let j(t) = -15*t**2. Determine w(j(q)). 15990*q**2 Let s(a) = 2*a**2 - 4*a**2 - a**2. Let o(u) be the third derivative of -u**4/24 + 2*u**2. What is s(o(p))? -3*p**2 Let z(b) = 63*b - 15. Let m(k) = 9*k - 2. Let d(h) = -15*m(h) + 2*z(h). Let f(u) = 2*u. Determine f(d(r)). -18*r Let n(j) = 48*j**2. Let m(o) = 2*o. What is n(m(b))? 192*b**2 Let x(v) = 6*v. Let h(y) = -y**2 + 2*y - 1. Let i be h(1). Let m(d) = 2*d - 4*d + i*d + 3*d. Give x(m(b)). 6*b Let u(g) = -2*g**2. Let x(a) = -241*a**2. Determine x(u(v)). -964*v**4 Let o(u) be the first derivative of -3*u**2/2 - 5. Let t(k) = 2*k**2. What is o(t(y))? -6*y**2 Let m(i) = i**2. Let w(r) be the third derivative of 0*r**3 + 0*r + 0 + 5/24*r**4 + 2*r**2. What is m(w(b))? 25*b**2 Let x(w) = 7*w**2 - w**2 + 3*w**2 - 11*w**2. Let z(m) be the second derivative of m**4/6 - 2*m. Calculate x(z(q)). -8*q**4 Let v(i) = i + 1. Let y(c) = 21*c + 18. Let q(g) = -18*v(g) + y(g). Let u(t) = -9*t. Calculate u(q(p)). -27*p Let q(y) be the second derivative of -y**4/6 - 6*y. Let c(h) be the third derivative of 0*h**3 + 0*h + 0 + h**2 + 1/12*h**4. Calculate q(c(k)). -8*k**2 Let k(d) = -3*d. Let q = -2 + 6. Let o(s) = -2*s - 4. Let u(c) be the third derivative of c**4/6 + 7*c**3/6 + 3*c**2. Let m(h) = q*u(h) + 7*o(h). Give k(m(z)). -6*z Let q(v) = -2*v**2. Let u(z) = -z**2 + 3*z - 3. Let x(s) = -1 - 2 + 2 + s. Let b = -2 - 1. Let a(t) = b*x(t) + u(t). Determine q(a(h)). -2*h**4 Suppose 2*k = 2*k + 10*k. Let h(f) be the first derivative of -1 + 0*f - 2/3
{ "pile_set_name": "DM Mathematics" }
a: 2}? 1/4 Calculate prob of picking 4 d when four letters picked without replacement from mmmmmmddm. 0 Calculate prob of picking 3 k when three letters picked without replacement from {t: 2, k: 3}. 1/10 Two letters picked without replacement from {q: 12, u: 7}. What is prob of picking 1 u and 1 q? 28/57 Three letters picked without replacement from {t: 1, a: 1, u: 2}. What is prob of picking 2 u and 1 t? 1/4 Three letters picked without replacement from {b: 16, x: 4}. What is prob of picking 3 b? 28/57 What is prob of picking 1 x and 1 g when two letters picked without replacement from {h: 4, x: 1, g: 5, t: 6}? 1/24 Four letters picked without replacement from {e: 4, y: 6, j: 1}. Give prob of picking 3 e and 1 y. 4/55 Two letters picked without replacement from {f: 1, y: 2, h: 1, d: 1}. What is prob of picking 2 y? 1/10 What is prob of picking 1 q and 1 l when two letters picked without replacement from {q: 2, e: 9, p: 1, l: 1, w: 6}? 2/171 What is prob of picking 2 p when two letters picked without replacement from eeppeepeepppepepepe? 4/19 Three letters picked without replacement from {e: 3, d: 3, g: 1, q: 1, r: 4, i: 3}. Give prob of picking 3 e. 1/455 Four letters picked without replacement from {x: 2, d: 11}. What is prob of picking 2 d and 2 x? 1/13 Calculate prob of picking 4 q when four letters picked without replacement from qqqququqqu. 1/6 What is prob of picking 1 s and 3 a when four letters picked without replacement from sassaasssss? 4/165 Calculate prob of picking 1 e and 3 m when four letters picked without replacement from {e: 1, i: 3, f: 1, m: 7, t: 4, w: 2}. 7/612 Calculate prob of picking 1 f and 2 t when three letters picked without replacement from {t: 4, c: 1, f: 3}. 9/28 Four letters picked without replacement from {p: 3, y: 13}. Give prob of picking 2 y and 2 p. 9/70 Calculate prob of picking 2 c and 1 q when three letters picked without replacement from ccuuq. 1/10 Four letters picked without replacement from {t: 1, s: 4, g: 9}. Give prob of picking 1 s and 3 g. 48/143 Three letters picked without replacement from {a: 1, j: 1, z: 1, y: 5, w: 2}. What is prob of picking 1 y, 1 a, and 1 z? 1/24 Two letters picked without replacement from {j: 1, p: 2, t: 1, n: 1, l: 1, u: 1}. What is prob of picking 1 t and 1 u? 1/21 Two letters picked without replacement from rjrrrrrrjrrrrrrrrr. What is prob of picking 2 r? 40/51 What is prob of picking 3 h and 1 j when four letters picked without replacement from jhohzhjhdzhh? 8/99 What is prob of picking 1 n, 1 a, 1 f, and 1 r when four letters picked without replacement from nfrfffffrafaaa? 8/143 Four letters picked without replacement from googggoxnzgoooxzxgg. What is prob of picking 2 x, 1 g, and 1 o? 21/646 What is prob of picking 1 m and 1 r when two letters picked without replacement from rmmm? 1/2 Three letters picked without replacement from {x: 1, z: 1, b: 10, h: 2, l: 6}. What is prob of picking 1 x and 2 b? 3/76 Four letters picked without replacement from {w: 1, h: 2, i: 4, s: 4, x: 6, u: 1}. What is prob of picking 1 h, 1 u, and 2 x? 1/102 Three letters picked without replacement from oosrorijo. What is prob of picking 1 r, 1 o, and 1 s? 2/21 Three letters picked without replacement from {w: 7, e: 2, i: 2, c: 4, z: 5}. Give prob of picking 1 c, 1 e, and 1 i. 4/285 Calculate prob of picking 2 f and 1 l when three letters picked without replacement from {m: 3, v: 5, f: 3, s: 2, e: 1, l: 1}. 3/455 Calculate prob of picking 1 a, 1 d, and 1 c when three letters picked without replacement from zzejdzazzcczjzd. 4/455 Three letters picked without replacement from kuuouukuuooouuskbsk. What is prob of picking 1 u, 1 s, and 1 k? 64/969 Two letters picked without replacement from hbbbpbfgffub. Give prob of picking 1 p and 1 b. 5/66 Calculate prob of picking 1 i and 1 e when two letters picked without replacement from lkilkiekiiklkskiill. 2/57 Calculate prob of picking 1 d, 1 l, 1 p, and 1 q when four letters picked without replacement from {d: 3, p: 1, v: 3, q: 5, l: 4, a: 1}. 3/119 What is prob of picking 3 g when three letters picked without replacement from {p: 1, d: 4, h: 2, g: 3}? 1/120 Four letters picked without replacement from {k: 4, j: 16}. Give prob of picking 4 j. 364/969 Three letters picked without replacement from mmkeemmbee. Give prob of picking 1 k, 1 m, and 1 e. 2/15 What is prob of picking 2 k and 1 o when three letters picked without replacement from kkkokkkkkokokk? 165/364 Three letters picked without replacement from {l: 1, v: 7, s: 4, f: 1}. What is prob of picking 1 v, 1 f, and 1 l? 7/286 What is prob of picking 1 t and 1 d when two letters picked without replacement from ynnnywnytynyndy? 1/105 What is prob of picking 1 r, 1 a, and 1 s when three letters picked without replacement from {m: 4, s: 5, r: 6, a: 1}? 3/56 Four letters picked without replacement from nfbab. What is prob of picking 2 b and 2 n? 0 What is prob of picking 2 f when two letters picked without replacement from jftfqwqtqtfllw? 3/91 Three letters picked without replacement from {f: 1, y: 1, k: 1, s: 1, m: 1}. Give prob of picking 1 m, 1 k, and 1 s. 1/10 Calculate prob of picking 1 q, 1 c, and 1 l when three letters picked without replacement from qqqlqqcleelecql. 48/455 Three letters picked without replacement from {f: 1, z: 2, a: 1, b: 1, i: 1, l: 1}. Give prob of picking 1 i, 1 f, and 1 a. 1/35 What is prob of picking 4 h when four letters picked without replacement from hhhhhhhhh? 1 Two letters picked without replacement from {l: 2, j: 1, h: 2, d: 1, e: 4}. What is prob of picking 2 h? 1/45 What is prob of picking 2 x when two letters picked without replacement from xyyiyiixrjrxyxyxyxxy? 21/190 Two letters picked without replacement from {p: 2, u: 1, r: 3, b: 5, z: 2, t: 7}. Give prob of picking 1 u and 1 r. 3/190 Two letters picked without replacement from xzxjjzwzjxjcz. What is prob of picking 1 z and 1 w? 2/39 What is prob of picking 1 q and 1 o when two letters picked without replacement from {o: 3, q: 2, d: 1, s: 1}? 2/7 What is prob of picking 1 r and 1 f when two letters picked without replacement from frfuquuuu? 1/18 Calculate prob of picking 3 v and 1 z when four letters picked without replacement from {z: 5, v: 11}. 165/364 Calculate prob of picking 1 x and 2 k when three letters picked without replacement from {u: 6, f: 1, k: 3, x: 2}. 3/110 Calculate prob of picking 1 f and 1 p when two letters picked without replacement from {m: 1, e: 3, p: 1, i: 2, f: 3}. 1/15 What is prob of picking 2 p when two letters picked without replacement from piiiipi? 1/21 Two letters picked without replacement from wwwrwwwwwwwwwwrwww. Give prob of picking 1 w and 1 r. 32/153 Calculate prob of picking 1 v, 2 k, and 1 u when four letters picked without replacement from uzzjkkvupuuzu. 1/143 What is prob of picking 1 e and 1 p when two letters picked without replacement from ebpbbbpepbbp? 4/33 Calculate prob of picking 1 n and 2 a when three letters picked without replacement from {n: 2, a: 2}. 1/2 Four letters picked without replacement from {r: 5, b: 2}. What is prob of picking 2 b and 2 r? 2/7 What is prob of picking 1 d and 2 t when three letters picked without replacement from xxtottdxtdtttx? 3/26 Calculate prob of picking 3 q and 1 s when four letters picked without replacement from wsqswajqwqwqbas. 4/455 Four letters picked without replacement from {j: 2, p: 2, v: 1, t: 1, g: 1, w: 1}. What is prob of picking 2 p, 1 w, and 1 j? 1/35 What is prob of picking 4 j when four letters picked without replacement from jjjjjjjjjj? 1 What is prob of picking 1 t and 1 i when two letters picked without replacement from llfoltifftyoofl? 2/105 What is prob of picking 1 a and 1 m when two letters picked without replacement from maacpaacca? 1/9 Four letters picked without replacement from {e: 13, m: 3}. Give prob of picking 3 m and 1 e. 1/140 Two letters picked without replacement from {y: 1, t: 2, v: 4}. Give prob of picking 1 v and 1 y. 4/21 Calculate prob of picking 1 i and 1 n when two letters picked without replacement from {n: 2, i: 1, t: 4}. 2/21 What is prob of picking 1 k, 1 h, and 1 q when three letters picked without replacement from {h: 2, k: 1, i: 2, q: 1}? 1/10 What is prob of picking 1 u an
{ "pile_set_name": "DM Mathematics" }
Which is the closest to -1/9? (a) -3.9 (b) -14/41 (c) 3 (d) -1/10 d What is the nearest to -1/3 in 64339, 1/3, -0.03, -7? -0.03 Which is the closest to -2/7? (a) -18 (b) 12 (c) -387 (d) 11 d Which is the nearest to -4? (a) 9/4 (b) -1 (c) -28.8 (d) -2/13 b Which is the closest to 1/3? (a) 0.4 (b) 0.1 (c) 599 (d) -0.0185 (e) -0.3 (f) 1/11 a What is the closest to 1 in -0.21, -98, -0.1, 0, 4? 0 What is the nearest to 4/3 in 1/2, 20260, -1, -3, 2? 2 What is the closest to -0.22 in -0.2, 130/7, 218? -0.2 Which is the closest to 3/7? (a) 31.3 (b) -0.12 (c) 90 b Which is the nearest to -87? (a) 2 (b) 24 (c) -1/5 (d) 23 c What is the nearest to 2 in 1/5, 0.1277, 2, 1? 2 What is the closest to 0 in 84, 6/5, 0, 1.227, -0.2? 0 Which is the nearest to 3/7? (a) -69/5 (b) 18 (c) 0.2 (d) -27 (e) -0.2 c What is the nearest to -2/5 in 1/5, -3, -0.2, 3/14, -5, -3/113804? -0.2 Which is the closest to -1.5? (a) 0.43 (b) -4/3 (c) -4 (d) 0.4 (e) 0.07 (f) 15.9 b What is the nearest to -1/4 in 2/3, 3, -396494? 2/3 What is the closest to -0.1 in -4, 0.3, 0.1, -253, 2? 0.1 Which is the closest to -11/9? (a) -0.4 (b) 1.3007 (c) 0.3 a What is the nearest to -0.05 in 1.7, 3, 5, -487, 58? 1.7 What is the closest to -2 in 0.1, 0.2, -69, 2, 7/78? 7/78 Which is the nearest to -10.04? (a) -0.1 (b) -0.22 (c) 3 (d) -0.2 b Which is the nearest to 2/3? (a) -1/31383 (b) 1019 (c) 2 (d) -1/3 a Which is the closest to -1278? (a) -3/11 (b) 0.5 (c) -2 (d) -5 (e) -136 e Which is the nearest to 1351? (a) -2 (b) -0.1 (c) -5 (d) -101 (e) 0.3 e Which is the closest to 0? (a) -100 (b) 0.4 (c) -5 (d) -3/22 d Which is the closest to -755? (a) 3 (b) 0 (c) -66 (d) -0.066 c Which is the closest to -0.884? (a) -3 (b) -311 (c) 3 (d) 1 d Which is the nearest to -0.2? (a) 2/11 (b) -0.5 (c) 4657 (d) -12 (e) 9 (f) 3 b Which is the nearest to -1? (a) -2457 (b) 24 (c) -4 (d) -0.2 d Which is the closest to -41? (a) 0.1 (b) 5 (c) 24 (d) -32 d Which is the nearest to -1? (a) 5 (b) -1/31 (c) -1 (d) -3699 c Which is the nearest to -0.076? (a) -5358/5 (b) -0.2 (c) -17 b Which is the nearest to -11/5? (a) -0.03 (b) 26 (c) 0.3 (d) -3 (e) 0.033 d Which is the nearest to 3? (a) 0.2869 (b) 31 (c) -0.2 a Which is the nearest to 6/703? (a) 1/6 (b) -1/3 (c) 0.1 (d) -86 (e) 2 c What is the closest to 30/433 in -1/3, -3, -5/2, -2/17, 3? -2/17 What is the nearest to 7/3 in 36153, 4, -1/5, 5? 4 What is the nearest to -3 in -8/21, -0.1, 3, -1/4, 156? -8/21 Which is the closest to 0.0514? (a) 1.2 (b) -4/5 (c) 1/4 (d) -4/7 (e) 5 c Which is the nearest to -0.1? (a) 3/4 (b) 1/8 (c) 2 (d) 38/55 b Which is the closest to 61? (a) 1 (b) -0.4 (c) 1/98 (d) 15 d What is the nearest to -2092 in -10, 0.4, 4? -10 What is the closest to 7 in -12, -0.3, 9, -5, -4? 9 What is the nearest to -2 in -1598, -15, -226, 5? 5 Which is the closest to -0.189? (a) -0.3 (b) 860 (c) 20 a Which is the nearest to -3? (a) -1/33916 (b) 0 (c) 0.07 a Which is the closest to 1/6? (a) -2 (b) 1 (c) 2/5 (d) 0.1052 (e) 50 d What is the closest to -2 in -79323, -0.2, 88? -0.2 What is the closest to 1/2 in 0.249, -3/4, -99/16? 0.249 What is the nearest to 1/14 in -0.3, -12, -0.8, -81? -0.3 What is the closest to 32 in -5/4, 8317, 0.6? 0.6 Which is the nearest to 8/3? (a) 5 (b) 1/43 (c) -0.3 (d) 1/9 (e) 0.04 (f) -41 a What is the nearest to 1 in -2/45, -0.5, 0.5, 0.26, 3, 1.9? 0.5 What is the nearest to -1/2 in -0.2, -0.1, 3/8, 0.7, 69/7, -0.022? -0.2 Which is the closest to -34? (a) -3 (b) 0.3 (c) -12/5 (d) -0.01 a What is the nearest to 417 in 1588, -2, -76? -2 What is the closest to 25/2 in 17, 13/8, -2, 0.3, 2/53? 17 Which is the nearest to -5? (a) -6 (b) 0.5 (c) -131919 (d) -46 a Which is the nearest to -1/6? (a) 9 (b) 3/4 (c) 1/2 (d) -181.5 (e) -2/13 e Which is the nearest to -2? (a) 4 (b) 0.2 (c) 96 (d) -4 (e) 1 (f) -22 d Which is the closest to -5? (a) -7531 (b) 1/4 (c) 33 (d) -9 d What is the closest to 1/4 in 7, -3/2, -5095/21, 1/5? 1/5 What is the nearest to 4 in -47, 295, -0.1, 20? -0.1 What is the nearest to 3/5 in 0, -3.0549, 6? 0 Which is the closest to 118? (a) -6 (b) -3.4 (c) 4 (d) 246 c Which is the closest to 1/4? (a) 138 (b) -0.1 (c) -45.14 (d) 0.3 d What is the closest to -14 in -0.02, 4/5, 1, 1.3, -20? -20 What is the nearest to -0.2 in 6/55, -1/3, 3/7, 354, -4, 0.4? -1/3 What is the closest to 1/3 in -1, -0.3, -19, 22, 1.2? -0.3 Which is the closest to -0.5? (a) 1 (b) -2437 (c) 1/11 (d) 2/41 (e) 1/7 d Which is the closest to -24? (a) -0.4 (b) -0.14 (c) 4/3 (d) -3 (e) 14 d Which is the nearest to 1/3? (a) 3 (b) 2 (c) -1 (d) 1458 c Which is the nearest to -4.8? (a) 233 (b) -4 (c) 9551 (d) 1 b Which is the closest to 0? (a) -5 (b) 4/3 (c) -77 (d) 7/772 d Which is the nearest to 13? (a) 2.7 (b) -0.1 (c) 15/2 (d) 13/4 c Which is the closest to 3/7? (a) 28 (b) 0.04 (c) -0.6 (d) -4/117 (e) 4/7 e What is the closest to 8.5 in 3, 11, -346? 11 What is the nearest to 2 in -2, 9471, -336? -2 What is the nearest to 0.1 in -0.02, -8, -30/43, 1/8, -6? 1/8 Which is the nearest to 0.1? (a) -1149 (b) -22/5 (c) 0 c Which is the nearest to -72? (a) 9/19 (b) -4 (c) -21 (d) -17 c What is the closest to 2/7 in -0.1, 32, 4/9, 2, -59283? 4/9 Which is the closest to 0.39? (a) -4 (b) -0.2 (c) 0.6 (d) 8 (e) -2 (f) 9 c Which is the nearest to 0.02? (a) -0.27 (b) 29 (c) 1 (d) 14/19 a Which is the nearest to 0.02? (a) -5 (b) 1 (c) 10/13 (d) -0.3 (e) 1.0878 d What is the closest to 0.6 in -3, -1, -688/7, 0.1? 0.1 What is the closest to -0.1 in -0.1, -2/19, -8, 3/7, 2.2, 13/306? -0.1 What is the closest to 0 in -1/9, -4, -19, 693, 0.2, 6? -1/9 What is the nearest to 9.46 in 12/59, 0, -60? 12/59 Which is the nearest to 2/3? (a) -166 (b) -2/597 (c) 168 b Which is the closest to 3/4? (a) -7 (b) -1/2 (c) 4 (d) 2983 b What is the closest to -16/29 in 4/3, 63/2, -9, 2? 4/3 What is the nearest to 261 in 6, -360, -2/13, -1/2, -1? 6 What is the closest to 1 in 15, -3/34, -0.1, -32? -3/34 Which is the nearest to 53/367? (a) -1/3 (b) -1 (c) 7 a Which is the closest to -1/3? (a) 0.4 (b) -11 (c) 5 (d) -12 (e) -142 a What is the closest to -2 in 1/3, -0.5, -2, 6054, 3, -4? -2 Which is the closest to -13? (a) 2/9 (b) 11.5 (c) 8 (d) -0.2 d What is the nearest to 336 in 7, -0.3, -3, 70/57? 7 Which is the closest to -58? (a) 97 (b) -4 (c) 909 (d) -1/8 b Which is the nearest to -1? (a) 7/8 (b) -30.798 (c) -0.2 (d) 7 c What is the nearest to -3/1304 in 1, 13, 20? 1 Which is the nearest to -0.1? (a) 10814946 (b) -1/8 (c) -4 (d) 3/8 b What is the closest to 2 in 0.2, -4, 3, 0, 1956222, -0.2? 3 What is the closest to -1/17 in 2/7, -1206, 53? 2/7 Which is the closest to -1? (a) -4 (b) -0.2 (c) 11 (d) -11.45 (e) 0.94 (f) 1 b What is the nearest to 15758 in -1/8, -0.5, 6/25? 6/25 Which is the nearest to 1? (a) 101 (b) -3/2 (c) -4 (d) -0.6 d Which is the nearest to 2? (a) -22/731 (b) -3 (c) -252 a What is the closest to -0.1 in -10, -147, 17, 0, 3, 0.2? 0 Which is the nearest to -16? (a) 60 (b) -2 (c) -68 b What is the closest to -7/3 in -2, 6, 1/3, 7, 171? -2 What is the nearest to -1/3 in -992, -3, 55, 3? -3 What is the closest to 2 in -6, 5, 1/9, -4, -3, -158? 1/9 What is the closest to 0.1 in -89/199, -0.4, 0.02, -6, 0.1? 0.1 Which is the nearest to -1? (a) 2/9 (b) -0.3 (c) -956 (d) -2/9 (e) 15 b Which is the nearest to -1/75? (a) 3/7 (b) 14 (c) -0.3 (d) 3461 c What is the nearest to 0.1 in -1, 235.37, -9/5? -1 Which is the nearest to 0? (a) -2/9 (b) -1358 (c) -5 (d) -1 (e) -8 a Which is the closest to 0? (a) 1 (b) 1.5 (c) 16/75 (d) -481 c Which is the closest to -6/181? (a) -1/3 (b) -53 (c) 2 (d) 0.4 (e) 0.2 (f) -0.1 f What is the nearest to 1 in 63, 5, 0.2, 2, 7? 0.2 What is the closest to 5/6 in 779, -4/47, 5? -4/47 Which is the closest to 0.85? (a) 779 (b) -8/5 (c) -7 b What is the closest to -2/13 in -5, -127111, -1/2? -1/2 What is the nearest to 365 in 4, 0, -1/273? 4 What is the closest to 2 in -2878, 0.4, -1, -7.2? 0.4 Which is the nearest to -2? (a) 3/4 (b) -0.04 (c) -2/305 (d) -2/13 (e) -55 d
{ "pile_set_name": "DM Mathematics" }
e of 2 and a. 10 Suppose 85 = 4*s + 25. Suppose -4*q = -3*z - s, -q - z + 15 = -4*z. Calculate the common denominator of (-130)/6 - (q - -2) and -32/19. 57 Let c(t) = 2*t + 11. Let b = 54 + -54. Calculate the least common multiple of c(b) and 7. 77 Find the common denominator of -89/8 and (-288)/81 - 12/(-54). 24 Let z(f) = -4*f**3 - 4*f**2 - f + 2. Let o be z(-2). Let t = o + -13. Calculate the least common multiple of t and 2. 14 Let d = -15891/92300 - -2/923. What is the common denominator of d and 3/16? 400 Find the common denominator of (-510)/56 + -11*(-36)/528 and -29/50. 350 Let o(t) = t**3 + 9*t**2 + 4*t - 1. Let f be o(-6). Let p = f + -63. What is the smallest common multiple of 6 and p? 60 Let q be (5 + -4)/(-2)*80. Let t = q - -43. Calculate the lowest common multiple of t and 8. 24 Calculate the common denominator of 56/15 and 9588/(-1275) + 7 + -1. 75 Let j(h) = -h + 6. Let q(k) = 2*k**2 + 6*k. Let u be q(-3). Suppose u = -3*n + 1 + 14. Calculate the lowest common multiple of n and j(4). 10 Suppose -3*r - 2*k + 15 = -6*k, 0 = r + 5*k - 5. Suppose -3*v + r = -13. Suppose 3*n + 6 = v*n. What is the lowest common multiple of n and 20? 20 Suppose a = -47 - 15. Let z = -40 - a. What is the smallest common multiple of 2 - (-7 + 8) - -5 and z? 66 Let s be (-3 + 3 + -2)/((-2)/59). Suppose -q - s = -69. What is the smallest common multiple of 6 and q? 30 What is the common denominator of 2/(-6) - 2712/432 and 107/22? 198 Let c = -869499/197186 + 4/8963. Let w be (15/9 + -1)*-18. Calculate the common denominator of c and (4 - (-327)/w)/2. 88 Suppose -5*m + 20 = -0. Suppose x + 1022 = -2*i - m*x, 5*x = -4*i - 2034. Find the common denominator of 101/8 and (-11)/5*55/i. 184 Let g(j) = j**2 - 13*j + 28. What is the smallest common multiple of 12 and g(11)? 12 Let t(u) = -3*u - 6. Let l be t(2). Find the common denominator of -121/24 and 22/l*15/4. 24 Let n(v) = -v**2 - 5*v + 5. Suppose -4*i - 2*f = -34, -2*i = -5*f - 0*f + 1. Calculate the least common multiple of n(-5) and i. 35 Suppose 1492 = -5*y - 2958. What is the common denominator of 8/((-192)/75)*(-36)/10 and y/(-4)*(-7)/(-105)? 12 Suppose -o - 3*x = -16 - 6, -88 = -3*o + 2*x. Calculate the smallest common multiple of o and 21. 84 What is the common denominator of 113/230 and (-49 + 50)/(40/374) - 7? 460 Suppose 5 + 3 = j. Suppose 10*l - 38 - 162 = 0. Calculate the least common multiple of j and l. 40 Let m be (1*(-6)/4)/(24/(-976)). Let k = -59 + m. What is the smallest common multiple of k and 10? 10 What is the smallest common multiple of (3 + 13 + -49)/(3/(-2)) and 82? 902 Let i(p) = p**2 + 16*p - 37. Let y be i(-18). Suppose 3*q = -0*q + 24. Calculate the smallest common multiple of 3*((-20)/15)/y and q. 8 Let z(x) = -x**2 + 14. Let b be z(0). What is the common denominator of 15/4 and (-722)/90 - b/(-63)? 20 Let l = 100 + 48. Suppose l = 11*b - 6. What is the lowest common multiple of b and 12? 84 Let y = -33531/26 - -9121745/7072. Calculate the common denominator of -43/14 and y. 3808 Suppose 5*u = -2*p - 24, u + 6 = -p + 3. What is the common denominator of 151/18 and ((-39)/u)/1 + 4 + 0? 18 Let r = -130649/2706 - -1580/33. What is the common denominator of r and 11/8? 328 Suppose h - u = 12, -5*h + 2*h + 20 = 5*u. Let n = 0 + 4. Calculate the smallest common multiple of h and n. 20 Let q = 21/3866 - -121454/237759. What is the common denominator of -113/6 and q? 246 Let l(s) = s - 1. Calculate the least common multiple of l(25) and 144. 144 Let u(c) = -5*c + 12. Let s be u(8). Let l = 32 + s. What is the lowest common multiple of l and 18? 36 Let b = 39840 - 17449907/438. Calculate the common denominator of b and 47/7. 3066 Let n be 177/21 + 16/28. What is the lowest common multiple of 14 and 3/27 - (-161)/n? 126 Let l(u) = -u**2 - 10*u - 6. Let o be l(-9). What is the lowest common multiple of ((-45)/10)/(o/(-12)) and 54? 54 Let z(f) = -6*f**3 + 2*f**2 - 1. Suppose -32 = -2*d + 32. Let s = d + -33. What is the least common multiple of 10 and z(s)? 70 Let v = 708 - 2893/4. Let n be (-90893)/(-60522) + 3/(-2). Let i = n - -138437/16506. What is the common denominator of i and v? 36 Let n = -10 + 47. Calculate the common denominator of -59*(2 - (-36)/(-20)) and n. 5 Suppose 0 = 2*i - 2*q + 8, q + 3*q = -3*i + 2. Let b = 4/3577 + 361229/42924. What is the common denominator of ((-9)/i)/(-3) - 26/10 and b? 60 Let y = 1294 - 2671/2. Let o = -3227/3 - -612887/570. What is the common denominator of y and o? 190 Let a(x) = x**2 + 11*x - 20. Suppose 0 = 5*z - 148 - 52. Suppose -z = -5*d + 2*t, -d + t + 0*t = -5. Calculate the smallest common multiple of d and a(-14). 110 Let f = 6383/1232 + 1/154. Calculate the common denominator of -41/418 and f. 3344 Let z = 22026970715/1272 + -17316791. Let c = z - 40/159. What is the common denominator of -15/68 and c? 136 Let f = 0 + 4. Find the common denominator of 69/(-2)*(22/6 - f) and -51/20. 20 Let g = 1064/13 + -22671/260. What is the common denominator of g and -10/59? 1180 Let m(v) = 6*v - 33. Let r be m(11). Calculate the smallest common multiple of 14 + 0 + 0 - 0 and 600/r - (-2)/(-11). 126 Let i = 8409 - 269067/32. Let w = -5237 + 73281/14. What is the common denominator of i and w? 224 Let i be 4/(-16) - (-79479)/28. Let v = i - 2830. What is the common denominator of v and ((-1)/4)/((-100)/(-2320))? 35 Let d = 10157/458 + -7/687. Calculate the common denominator of d and 89/2. 6 What is the common denominator of (5/25)/(8/(-46)) and 17/5? 20 Let d(z) = -z**2 - 10*z + 165. Calculate the least common multiple of d(-18) and 77. 231 Suppose -s + 2*u - 2 = -13, -2*s = 4*u + 10. Calculate the least common multiple of (4 - s)*3/1 and 4. 12 Suppose 4*h + 3 = 2*m - 15, -4*m + 12 = -2*h. Find the common denominator of ((-144)/(-200))/(m/15) and -61/22. 110 Let b = -202827/24290 + -12/1735. What is the common denominator of -2 + (-2)/(48/292) and b? 42 Let o = -2154775/36 + 59851. Find the common denominator of o and 29/244. 2196 Let n = -27/26 - 725/78. Find the common denominator of (2/(-12))/(2/23) and n. 12 Suppose -2*v + 540 = 25*v. What is the least common multiple of v and 224? 1120 Let s be 1*3 + (-13)/(-13). Let q = 10 - s. Calculate the smallest common multiple of (6/4)/(24/32) and q. 6 Suppose 22*u - 25*u + 1812 = 0. Let n = -1873/3 + u. Find the common denominator of ((-10)/55)/(2/(-27)) and n. 33 Suppose -q = -5*o + 4, 6*q = q + 5*o. Calculate the least common multiple of 15 and ((-240)/96)/(2/(q*-4)). 15 What is the common denominator of -47/8 and (-1)/3 - (-5080)/8112? 1352 Suppose 2*y + 1 = 5. Let w be y/13 - 481/(-169). Suppose -2*k + 24 = h, w*k - 3 = -3*h + 39. Calculate the least common multiple of 1 and k. 10 Let s = 5/1891608 - 15473563637/6935896. Let n = s - -2232. Find the common denominator of 40/21 and n. 231 Suppose -3*d - 16 = -2*d. Let m = 218 - 224. Calculate the lowest common multiple of 16 and d/(-6)*(-27)/m. 48 Let i(w) = w**3 - w**2 - 1908. Let d be i(0). Let h = 11537/6 + d. What is the common denominator of h and (-255)/(-24) - 3/(-2)? 24 Let k be (-1 - 5145/260)*2/(-1580). Let h = k - -1/395. What is the common denominator of h and -19/18? 936 Suppose -v + 4 = -0*v. Suppose 2*s = 3*l + 12, 4*l - v*s = -2*s - 18. Let p(a) = -a**2 - 7*a - 5. Calculate the lowest common multiple of p(l) and 7. 7 Let i be (1/(-1) - 1)*-1. Suppose 0 = i*q - 10, 348 = 3*p - 2*q - 320. Calculate the common denominator of p/24 + 2/(-8) and 19/10. 30 Calculate the common denominator of 53*(-5)/680*(-2)/4 and 73/9. 2448 Suppose -3*q + 21 = 3*v + 6, 4*v = 2*q + 2. Let s(a) = -a + 5. Let z be s(0). Suppose -4*m = -9*m + z. Calculate the smallest common multiple of v and m. 2 Suppose -16*r + 66 + 14 = 0. What is the least common multiple of r and 12/4 + 1 - -45? 245 Let z = 1977/112 - -11/112. Find the common denominator of z and 63/50. 100 Let h = -8599323/316 - -27213. What is the common denominator of -71/8 and h? 632 Let h = -26 - -181/7. Let k be (-5230525)/(-1375) - 1/5. Let f = -3801 + k. Find the common denominator of h and f. 77 Let q = 5753975/666 - 7300057109/842823. Let v = 1/7593 + q. Calculate the common denominator of 80/39 and v. 78 Suppose 0 = -19*o + 24*o - 80. Calculate the least common multiple of 120 and o. 2
{ "pile_set_name": "DM Mathematics" }
= 2*a + 2. Let y be 2/(0 + -2)*-5. Suppose -3*b - y*b + 16 = m. Solve -3*s = -4 - 8, -b*s = 5*z - 18 for z. 2 Suppose 0 = 5*v - 13326 + 13316. Solve -m - 4*o = -2*o + 5, o - v = -2*m for m. 3 Let w be 18/3 + (-5 - -1). Solve 2*j = 6, -w*g = 3*j - 10 - 3 for g. 2 Suppose o + f = 1, 2*f + f = -o - 3. Suppose -3 = -o*i + 3*r, 38*r = 4*i + 33*r - 1. Solve i*c + 0*j + 8 = 2*j, 2*c - 4*j - 2 = 0 for c. -3 Suppose 775*s - 40 = 765*s. Solve i + 3*u = -8, 0 = 5*i + s*u - 0*u + 29 for i. -5 Let x be (-3)/2*(-2)/9*6. Let k(f) = 41*f**2 - 37*f**2 + 2 - 3 + x*f. Let n be k(1). Solve m + 4 = -4*t + 11, -n*m = 5*t - 5 for m. -1 Suppose -214*a - 12 = -218*a - 4*m, 2*m - 6 = 0. Solve 2*z = -p + 11, 3*z + 2*p + 186 - 203 = a for z. 5 Suppose -w - 104 = 2*b + w, 5*b + 242 = w. Let d = -37 - b. Solve -2*m - 2*p + d = -0*p, 5*m - 2*p = -5 for m. 1 Suppose 20*o + 6 = 2*j + 22*o, 5*j - 4*o - 6 = 0. Suppose j*p + 20 - 26 = 0. Solve 0 = 4*n + 3*l + 2*l + 12, n + 3 = p*l for n. -3 Suppose -3*t - 4*g + 14 = 0, -3*t = 3*g + 51 - 66. Solve -t*f = 2*o - 4*f + 18, -o + 2*f = 0 for o. -6 Suppose -5*p - 64 = 2*b - 69, 0 = -p - 3. Solve -7*g + 6*g - 6 = -3*h, -5*h = -b for g. 0 Suppose 2*m - 184 = -p + 453, 0 = -5*p + 4*m + 3213. Let x = 644 - p. Solve 0 = 2*n + 5*k - 23 + x, -k + 17 = 3*n for n. 5 Let f be 3/(-6)*(2 + -6). Suppose -t = 2*s + 4, f = t - 4*s - 12. Let k be (t/(-3))/(4/(-24)). Solve 3*v - 4*x = -0*v + 3, 0 = 4*v - 5*x - k for v. 1 Suppose -d - 114 = 3*l + 470, -4*l - 3*d - 777 = 0. Let z be (l/12)/(-5) + 30/(-24). Solve 4*j + 24 = 4, n - z*j - 11 = 0 for n. 1 Let n(j) = -j**3 + 25*j**2 - 27*j + 75. Let l(b) = 3*b - 90. Let i be l(38). Let s be n(i). Solve s*r + 4*k + 14 = 0, -5*k = 5*r - 3*k + 14 for r. -2 Let q = -1748 + 1756. Suppose 3*p = -0 + 12. Solve q = -p*u - 4*l, l = -5*u - 2*l - 4 for u. 1 Suppose -5*j + 193 = -12. Suppose -46*y + j*y = 70. Let l = 28 + y. Solve 3*s - 2*n - 8 = 0, l - 34 = s + 5*n for s. 0 Suppose 0 = 4*f - 3 - 5. Suppose 0 = -5*x + 87 - 7. Solve -2*k = -4 + 12, -3*k = -f*d + x for d. 2 Let b(w) = -w**3 - 7*w**2 - 7*w + 29. Let k be b(-7). Suppose -2*u = k - 116. Solve -3*t - 2*h - u = 0, 5*t + 4*h - 6 = -41 for t. -3 Suppose -4*w = r - 39, -91 = -4*w + 5*r - 46. Solve 0 = -5*k, 5*k + w - 6 = 4*p for p. 1 Let r = -18 - -15. Let z be -4 + r + 3 - -44. Suppose -3*x + 12 = j, j + 4*j + 5*x = z. Solve -j*b = -v - b - 26, 5*v - 15 = -4*b for v. -1 Suppose 18*a = 10*a + 24. Suppose -9*x = -89 - 73. Solve -3*n + z = -7*n + 14, 4*n = -a*z + x for n. 3 Let x = 610 + -562. Let o be x/10 + (-11)/(-55). Solve 5*k + 11 = 4*y - o, 0 = 5*k + y + 21 for k. -4 Let v be (-2)/(-12) + (-23)/(-6) - 2. Suppose -5*c = c - 126. Suppose -v*t + 11 = -c. Solve 3*u = 4*f - t, 2*f + 0*u - 4*u - 8 = 0 for f. 4 Suppose d - 12 = 5*s - 11, 0 = -3*d + s + 45. Let j(g) = -g**2 + 20*g - 44. Let x be j(d). Solve v + 4*v = -x, 3*v + 9 = i for i. -3 Let c = -405 - -390. Let h be 12/c - (-695)/25. Solve 3*l + h = 3*b, 12 = 5*b - 8 for l. -5 Let b be (-113)/((6/(-8))/((-60)/40)). Let q be (-10)/(-25) + b/(-10). Solve -l + d - 6 = -0, -4*l = -3*d + q for l. -5 Let c(a) = 4*a**2 + a - 197. Let t be c(7). Solve 7*u - t*u = 5*r - 5, -r - 23 = -5*u for u. 5 Suppose -1 = -0*q - q. Let j be ((-8)/(-20))/(q/5). Let b(z) = 100*z - 1897. Let f be b(19). Solve 5 = 2*y + m, y = j*y + f*m + 10 for y. 5 Let f be 21 - ((-112)/(-24) - (-2)/(-3)). Suppose 5*v = x + f, 25 = -5*v - 5*x + 60. Solve 2*c + 12 = v*m, -2*m - 6 = -c - 4*m for c. 0 Let x = 76 - 88. Let z be (10/(-4))/(1 - (-18)/x). Suppose 0*l + 5*l + z*c = 5, -4*c = -4*l + 28. Solve -7*k = 4*w - 3*k - l, 0 = -2*w + 4*k + 14 for w. 3 Let m(a) be the first derivative of 1/4*a**4 - a + a**3 + 0*a**2 - 4. Let o be m(-2). Solve 0 = v + o*n, 0 = 4*v - 3*v + n - 2 for v. 3 Let m(h) be the first derivative of -h**3/3 + 21*h**2/2 + 49*h + 230. Let b be m(-2). Solve 3*n + 9 = -3*o - 2*n, -b*o + 5*n - 9 = 0 for o. -3 Let h be ((-41)/(-123))/((-2)/(-246)). Suppose -23*v + h*v = 216. Solve d = -0*d - 4*k + v, 0 = 4*d - k + 3 for d. 0 Let t(r) = -3*r - 72 - 6*r - r**2 + 88 + 123. Let k be t(-17). Solve 2*j - 3 = k*g, 3*j - 4*g = 2*j + 9 for j. -3 Let r be 0/(1 + -1 + 2). Let w = -215 - -345. Let z = -127 + w. Solve b - 4 = 4*k + 5*b, -5*k - z*b - 7 = r for k. -2 Suppose -8*b - 366 = -1102. Solve 0 = -b*o + 93*o + 3*m - 10, -2*o - 16 = -3*m for o. -2 Suppose -3*m = 0, -5*l + 4*m - 75 = -m. Let d = -4 - l. Let r be 108/d - (-2)/11. Solve v = 5*b + r, 3*b = -2*v + 1 - 7 for v. 0 Suppose 3*u = -1722 + 1737. Solve -u*r = -3*d - 9 + 22, r = -4*d + 2 for r. -2 Let l(z) = 7*z + 199. Let y be l(-28). Solve 31*b = 29*b, 4*b = y*i - 12 for i. 4 Let t(p) = -3*p**3 - 24*p**2 - 5*p. Let c be t(-8). Suppose c = 4*x + 20. Solve 0 = -u + x*u - 3*b + 11, 4*b + 7 = u for u. -5 Let o = 5 - 0. Let v be -1 - 4/2 - (-10 - -3). Solve 3*y + 27 = o*p, 4*p + v*y + 6 - 2 = 0 for p. 3 Let h(g) = 85*g - 1440. Let u be h(17). Solve -u*z - 5*k = 25, -35*k - 15 = -z - 32*k for z. 0 Suppose 4*c + 14 = 2*s, c + 0*c = -1. Suppose -899*u + 887*u = -756. Suppose 3*q = -s*y + u, -y - q - 2 = -13. Solve 4*v = -2*m + 1 + 15, 0 = -5*v + y for m. 2 Let v(l) = 12*l - 31. Let i be v(6). Suppose i - 11 = 15*x. Solve -s + x*g = 2*s - 16, -3*s + g = -14 for s. 4 Suppose 2*v - 26 = -4*j - 8, 3*v = -3*j + 21. Suppose -3*w + j*b + 11 = 0, 2*w + 9*b - 12*b = 9. Solve d - 3*k + 12 = 0, -2*d - k = w*d - 4 for d. 0 Suppose 3 = -2*f + r, 1 = r - 0. Let n(a) = -8*a - 4. Let v be n(f). Let k = 4 - 2. Solve 0 = 4*u - 3*x + 10, -12 = -k*u + v*u + 2*x for u. -4 Let h = 297 - 291. Let c be 7*(-11 - -8)*h/(-63). Solve -c*u + 0*t - 16 = 5*t, -5*t - 7 = -u for u. -3 Let r = -25129 - -25142. Solve -5*b = -5, -5*b + r = 5*k - 17 for k. 5 Let h(c) = 1 - 4*c**3 - 1036*c**2 - 2 + 1037*c**2. Let b be h(-1). Solve -2*n - 4*q = -10, b*q - 3 = -2*n + 7*n for n. 1 Suppose 7*c + 49 = 14*c. Suppose 4 = h, -2*y + c*y - 136 = h. Solve -2*k + 5 = 5*s, -s - 4*k - 9 = -y for s. -1 Let h = -76 + 93. Suppose -4*u - u - l + h = 0, 4*l + 32 = 5*u. Let r be (-1)/(6/8*u/(-72)). Solve -r = -4*v - 2*m, 2*m - 13 = -v - 2*m for v. 5 Let o(c) = c**3 + 5*c**2 - 63*c - 282. Let u be o(-6). Solve 5*t + 19 = -u*p + 57*p, 7 = -t + p for t. -5 Suppose -3*i = 3*y - 45, 4*y + 39 = 3*i + 22. Solve -5*s - 25 = -4*o + i, 5*s = -o - 16 for o. 4 Suppose -38 = -k - j + 280, 2*j = 2*k - 628. Let q = -314 + k. Solve 2*z + 2*w - 10 = -0*z, q*w = -4*z + 10 for z. 0 Let n be 0 + -5 + 1 - (-112)/(-2). Let y be (129/215)/((-2)/n). Solve -3*p = -5*l - 0*l, -l = 3*p + y for p. -5 Let h be (-2)/(-5) - 36/(-10). Suppose k = 7 + 4. Suppose -k*l + 27 = -6. Solve l*s + 1 = z, z + 2*s - h = 2 for z. 4 Suppose 5*l + 4*i - 85 = 0, 3*l - i = l + 47. Let s = l - 15. Suppose -3*h + 0*h = -s. Solve x - 5*x - 2*m - 20 = 0, -x = h*m + 8 for x. -4 Let t be -2 - ((-18)/2 + 3). Let n(d) = d**2 + 11*d - 13. Let r be n(-13). Let v = r + -8. Solve -6*j - v*z + 5 = -j, 2*z = t for j. -1 Suppose -71 + 83 = 6*h. Let k(n) be the second derivative of n**4/3 - 4*n**3/3 + 7*n**2/2 + 4*n. Let q be k(h). Solve 2 + 1 = 3*v, q = -2*g + 3*v for g. -2 Let u(o) be the third derivative of -o**5/60 - 13*o**4/24 + 35*o**3/6 - 8*o**2 + 5*o. Let y be u(-15). Solve -3 = y*j - 18, j = -x + 8 for x. 5 Suppose -a + 1 = -2. Suppose 2*j - 3 = -a*q + 4, -2 = -2*q - 2*j. Suppose 15 = -n + 5*f, -4*f = q*n - 2*n - 12. Solve n = l + 4, 7 = t - 5*l - 18 for t. 5 Suppose 0 = 18194*n - 18167*n - 405. Solve 4*l - 23 = 2*d - 21, -5*d = -n for l. 2 Suppose 2*p - 3*l = 1, 4*p - 2*p - 2*l = 4. Solve 2*s + 5*d = -0*s, -2*s = -p*d - 20 for s. 5 Let u = 4151 - 4146. Solve -u*m - 27*b = -26*b + 24, 0 = -2*m - 2*b - 8 for m. -5 Let f(h) = -68*h - 1750. Let c be f(-26). Solve -9*g - 4 = -7*g, 0 = -2*u - 5*g - c for u. -4 Let h = 1277 + -1252. Solve 2*s + 5*v = h, 6*s + 5*v = 2*s + 35 for s. 5 Suppose 33*t - 32*t = 270. Let o = 274 - t. Solve o*h - 9 = 5*k, 12 = -2*k - 2*h - 6 for k. -5 Let m(v) = 2*v + 3. Let t be m(1). Suppose 0 = -3*i + x + 18, 3*i + 16 = t*i - 2*x. Solve -i*s + 4 = 4*b - 24, 3*s - 16 = -2*b for b. 2 Let o(w) = 63*w - 122. Let n be o(2). Solve 4*g = 5*b + 8, -6*b = -7*b - n*g - 16 for b. -4 Suppose 0*t = t - 5. Let q be (11 + -12)/((-1)/t). Let j(z) = 4*z + 45. Let g be j(-10). Solve 4*b - 15 = -q*r
{ "pile_set_name": "DM Mathematics" }
12 Let b(l) = -3*l - 5. Let a be b(-4). Suppose -j - 3*m + a = -4, 2*m - 12 = 4*j. Calculate the remainder when (-14 - (j + 0))/(-1) is divided by 7. 6 What is the remainder when 2/4 + 465/10 is divided by 10? 7 Suppose -4*n = 16, a + a + 2 = n. Suppose 41 = 2*l - 57. What is the remainder when l is divided by 15 + 1 + (-2 - a)? 15 Let k(l) = -l**2 - 18*l + 30. Suppose -3*h = 2*o + 20 - 67, 3*h + 48 = 3*o. Calculate the remainder when k(-15) is divided by o. 18 Let b(w) = 2*w**2 + 3*w - 3. Let k be b(-5). Suppose 4*m - l = 49, -3*l = m - k + 10. Suppose 22 = 5*c - m. What is the remainder when 19 is divided by c? 5 Suppose -3*k + 23 = -379. Calculate the remainder when k is divided by 68. 66 Let h(w) = -2 + 3 - 1 - 1 + 18*w. What is the remainder when h(4) is divided by 24? 23 Let c(h) = h**2 + 5*h - 2. Let m(i) = -9*i. Let w be m(-1). Suppose 0 = 3*d + 3, 1 = -k + d + w. Calculate the remainder when k is divided by c(-6). 3 Let i = -33 - -46. What is the remainder when 28 is divided by i? 2 Let x = 4 - 2. Let g = 0 + x. Suppose -16 = -3*s + g. What is the remainder when 10 is divided by s? 4 Suppose 2*r - 4*w = r + 25, -16 = -r - 5*w. Calculate the remainder when 39 is divided by r. 18 Suppose -4*f + 42 = -18. What is the remainder when 133 is divided by f? 13 Suppose -87 = -2*s - s. Calculate the remainder when s is divided by 10. 9 Let x(u) = -u**3 - 10*u**2 + 10*u - 1. What is the remainder when 39 is divided by x(-11)? 9 Let d(q) = q**2 - 4*q - 5. Let n be d(7). Let s = -9 + n. Calculate the remainder when 20 is divided by s. 6 Suppose 0 = 4*o - 454 + 162. What is the remainder when 214 is divided by o? 68 Let r(z) = -2*z - 1. Let h be r(-3). Suppose -20 = -h*k - 5*j, -3*k + 35 - 2 = -4*j. What is the remainder when (-4)/(-10) - ((-2058)/15)/7 is divided by k? 6 Let z = -1 + 2. Let c be z*((2 - 1) + 1). What is the remainder when 24 - (-3 + 4/c) is divided by 13? 12 Let p(i) = -i**2 + 4*i - 6. Let y be p(4). Let l(v) = 1 + 2 - 3 + 2 + v**2 + 5*v. Calculate the remainder when l(y) is divided by 3. 2 Calculate the remainder when (0 + 18)/(26/39) is divided by 7. 6 Suppose 5*j = 7*j - 14. What is the remainder when 18 is divided by j? 4 Let j(n) = -n**3 + 4*n**2 - 4*n + 2. Let i be j(2). Suppose x = -r + 4*r + 9, i*x - 5*r - 20 = 0. Calculate the remainder when 42 is divided by x. 12 Let f be 0 + -1 + 160 + 1. Let s = f + -100. Suppose 0 = 4*j + j - s. What is the remainder when 46 is divided by j? 10 Suppose -9*m + 11*m - 26 = 0. Let u = 115 - 67. Calculate the remainder when u is divided by m. 9 Let v(f) = -1. Let o(c) = -8*c - 5. Let w(d) = o(d) - 2*v(d). What is the remainder when w(-3) is divided by 11? 10 Suppose -4*u = -2*s - 0*u + 16, -3*u = -3*s + 33. Suppose 4*f + n - 100 = 5, -5*f + 138 = -n. What is the remainder when f is divided by s? 13 Suppose 5*a - 309 = y - 71, -y - 144 = -3*a. Calculate the remainder when a is divided by 17. 13 Let z be 2 + 4/(16/4). Suppose 0 = -2*o - 5*l + 174, 3*o - 62 - 190 = -3*l. Suppose z*v - v = o. What is the remainder when v is divided by 21? 20 Let s(l) = 23*l**3 + l. What is the remainder when s(1) is divided by 18? 6 Suppose -3*t = t. Suppose -5*x = -5*b + 85, -1 = 2*b - t*b + 5*x. Calculate the remainder when 35 is divided by b. 11 Let y = 52 + -21. Suppose j + 2*a - y = 0, -a - 4*a + 112 = 4*j. What is the remainder when 90 is divided by j? 21 Suppose 0*k - 2*k + 4 = 0. Suppose 4*h = -h + 5. Let o = h + k. What is the remainder when 5 is divided by o? 2 Let v(l) = -l - 2. Let n be v(-5). Let r = n + 0. Let a = r + -2. Calculate the remainder when 2 is divided by a. 0 Calculate the remainder when 75 is divided by 27 + ((-4)/4)/1. 23 Let o(c) = 4*c + 5. Calculate the remainder when o(6) is divided by 16. 13 Suppose 3*i = 2*f - 26, 3*f - 6*i - 39 = -i. Let t = f + 13. Suppose 14 = 7*v - 5*v. What is the remainder when t is divided by v? 5 Let h be -1 + (5 - 2) - 1. Suppose 0 = -u + 1 + h. Let f = -50 - -52. Calculate the remainder when u is divided by f. 0 Let i(p) = 4 + 7*p**2 + 5*p - 3 - 4 + 1 + p**3. Let q be i(-6). Calculate the remainder when 13 is divided by -7*(-3)/12*q. 6 Let a(y) = -5*y**3 - 4*y**2 - 4*y - 3. Let n be a(-3). Suppose 6*w - n = 4*w. What is the remainder when w is divided by 14? 12 Suppose 0 = l + 2*g - 81, l + 0*g + 3*g = 76. What is the remainder when l is divided by 31? 29 Let t = -31 + 57. What is the remainder when (-20 - -3)/(1/(-3)) is divided by t? 25 Let p = -58 - -64. Calculate the remainder when 14 is divided by p. 2 Let g(i) be the second derivative of 9*i**4/4 + i**3/3 - i**2/2 + i. Let w(o) = 5*o**2 - 5*o + 5. What is the remainder when g(1) is divided by w(2)? 13 Suppose -163 - 65 = -4*t. Let s = 64 + -44. Calculate the remainder when t is divided by s. 17 Let j(w) = 2*w + 1. Calculate the remainder when 48 is divided by j(12). 23 What is the remainder when 90 is divided by 23 - (6/(-3) + 2)? 21 Let s = 7 - 1. What is the remainder when 15 is divided by s? 3 Suppose -3*b + 3*h + 31 - 10 = 0, b = -3*h - 1. Suppose -4*s - 3*j = -55, -3*j - j + 68 = b*s. Calculate the remainder when 61 is divided by s. 13 Let y(l) = 2*l - 5*l - 3 + 3*l**2 + 0. Let a be 6*-3*5/30. Calculate the remainder when y(a) is divided by 17. 16 Let c = 3 - 2. Suppose 2*l + 5*t = 89, 12*t - 52 = -l + 7*t. What is the remainder when l is divided by 1*14 - c - 0? 11 What is the remainder when 6 is divided by (-6)/(-9) - (-39)/9? 1 Calculate the remainder when (18/15)/((-6)/(-20)) is divided by 2. 0 Let i = 11 + -9. What is the remainder when (-69)/(-2) - 1/i is divided by 18? 16 Let n = 34 + -57. Let t = 36 + n. What is the remainder when 38 is divided by t? 12 Let j be 1/2 + 216/(-16). Let n = 38 + j. Calculate the remainder when 74 is divided by n. 24 Suppose -22 - 4 = -2*o. Calculate the remainder when 49 is divided by o. 10 Let n be (-1)/3*(0 + -30). What is the remainder when 34 is divided by (12/n)/((-4)/(-30))? 7 Suppose -2*j + 34 = -2*c - 26, -2*c - 4*j = 48. What is the remainder when 13 is divided by 6/(-12)*c/2? 6 Let s be -1*(-3)/(-6)*-8. Suppose 2*v - 5*q = 30, q - 61 = -s*v - 23. Suppose 0*k + k = -g + 34, -k = 3*g - 108. Calculate the remainder when g is divided by v. 7 Let k(i) = -i - 1. Let o be k(-3). What is the remainder when 33 is divided by o/(-4)*(-3 - 31)? 16 Let j(w) = -3*w + 5. Let l(z) = z + 1. Let v(g) = j(g) - 3*l(g). What is the remainder when v(-2) is divided by 8? 6 Let a(q) = q**2 - 2. Let b be a(2). Suppose 0 = 3*u - 3*d - 39, -4*u + b*d - 3*d + 32 = 0. What is the remainder when u is divided by 6? 3 Let t be 5994/78 - 2/(-13). Let j = -43 + t. What is the remainder when j is divided by 9? 7 Let y be ((-3)/2)/(1/(-2)). Suppose -5*p + 108 = -t - 59, y*p + 5*t = 89. Calculate the remainder when p is divided by 2/4 + 33/2. 16 Let b(s) = 0*s + 3*s - 3 + 0. Let z(h) = 5*h**2 + 2*h - 2. Let u be z(1). What is the remainder when 34 is divided by b(u)? 10 Let p(m) = -m**3 + 6*m**2 + 3*m + 3. Let k be p(7). Calculate the remainder when (1 - 4)*k/3 is divided by 9. 7 Suppose -3*r - 68 = -4*q + 2*r, -4*q + 96 = 2*r. What is the remainder when q is divided by 6? 4 Let l = -3 + -2. Let o = 10 + l. What is the remainder when 19 is divided by o? 4 Let x = 20 + 0. Suppose v - 12 = -q, -x = 3*q - 8*q + 3*v. Calculate the remainder when 20 is divided by q. 6 Let n be 18/(-22) - (-2)/(-11). Let w = 13 + n. Calculate the remainder when 21 is divided by w. 9 Calculate the remainder when 104/3 - 8/12 is divided by 6. 4 Let c(j) = 9*j + 1. Let n(w) = w**2 + 7*w + 2. Let d be n(-7). Suppose h = -d*h + 6. Calculate the remainder when c(h) is divided by 10. 9 Suppose 158 = 3*q - 4*i, 3*q + 3*i - 141 = -18. Calculate the remainder when 86 is divided by q. 40 Let s = -9 - -17. Let j = 13 - s. What is the remainder when j is divided by 3? 2 Suppose -w - 6 + 8 = 0. Suppose -3*n = -9, -w*n + 19 = -0*a + a. Calculate the remainder when 37 is divided by a. 11 Let f(x) = -x**2 - 28*x + 52. Calculate the remainder when f(-28) is divided by 11. 8 Let p be (-4)/(-6) + 56/24. Suppose -5*j + 107 = -p*q + 277, 2*j - 142 = -3*q. Let o(c) = c**2 + 17. Calculate the remainder when q is divided by o(0). 16 Let x(p) = 54*p. Let w be x(-1). What is the remainder when ((-1)/2)/(3/w) is divided by
{ "pile_set_name": "DM Mathematics" }
= -4*v. Give x(w(c)). 12*c**2 Let k(u) = -310*u**2. Let d(g) = g**2. Determine d(k(v)). 96100*v**4 Let f(z) = -z**2 - 2*z**2 - 3*z**2. Let n(p) be the first derivative of 4 - 1/3*p**3 + 0*p + 0*p**2. What is f(n(y))? -6*y**4 Let n(z) = -3*z**2 + z**2 + 2*z**2 + 2*z**2. Let d(y) = 5*y. What is d(n(b))? 10*b**2 Let k(r) be the third derivative of -r**7/5040 + r**5/15 - 2*r**2. Let z(y) be the third derivative of k(y). Let o(h) = -9*h. What is o(z(s))? 9*s Let a(g) = -3*g + 108. Let b(i) = 3*i. What is a(b(r))? -9*r + 108 Let q(a) be the first derivative of -2/3*a**3 + 0*a + 1 + 0*a**2. Let g(k) = -5*k. Determine g(q(c)). 10*c**2 Let o(u) = 2*u. Let b = 50 + -35. Let l = -9 + b. Let m(n) = n**2 + 6*n - 6. Let r(c) = -2*c**2 - 13*c + 13. Let j(t) = l*r(t) + 13*m(t). Calculate j(o(i)). 4*i**2 Let m(k) = 1. Let b(d) = -d. Let u(a) = -3*a + 6. Let z(i) = -4*b(i) + u(i). Let v(s) = 6*m(s) - z(s). Let q(c) = -c. What is v(q(y))? y Let j(n) = 2*n**2 - n**2 - n**2 + 3*n**2. Let g(t) = t - 1. Let d(y) = 2*y**2 - 4*y + 4. Let i(h) = d(h) + 4*g(h). Calculate j(i(m)). 12*m**4 Let q(k) = -4*k**2 - 26*k - 2. Let c(t) = t. What is c(q(b))? -4*b**2 - 26*b - 2 Let f(n) = -9*n. Let j(t) = 18*t. Let s(u) = -13*f(u) - 6*j(u). Let h(p) = 6*p**2 + 12*p**2 - 20*p**2. Give s(h(d)). -18*d**2 Let t(n) = n**3 + n**2 - n + 3. Let m be t(0). Let d(v) = -4*v + m*v + 2*v. Let q(x) = 2*x**2. Calculate d(q(c)). 2*c**2 Let z(a) = a. Let g(y) be the third derivative of -y**4/24 + y**3/6 + 2*y**2. Let t = 6 + -5. Let f(s) = 6*s - 4. Let d(p) = t*f(p) + 4*g(p). Determine d(z(u)). 2*u Let i(j) = 958*j. Let x(p) = 2*p**2. Calculate x(i(c)). 1835528*c**2 Let y(j) be the second derivative of 0*j**3 + 0 + 3*j + 0*j**2 + 1/12*j**4. Let v(f) = -6*f**2. Give y(v(o)). 36*o**4 Let j(u) = 3*u**2. Let n be 3/3 + 1 + 1. Suppose 0 = n*o - 2 - 4. Let q(v) = 3*v**o - 8*v**2 + 3*v**2. Give j(q(y)). 12*y**4 Let l(a) = a. Let m be 4 - 1*(-3 + 4). Let d(j) = 2*j**2 - 4*j**2 + 4*j**2 - m*j**2. Give l(d(g)). -g**2 Let o(s) = 19*s**2 - 7*s - 7. Suppose -l - 7 = -0*l. Let i(g) = 13*g**2 - 5*g - 5. Let u(p) = l*i(p) + 5*o(p). Let b(n) = n**2. Determine b(u(k)). 16*k**4 Let x(l) = -l**2. Let b = 89 - 266/3. Let o(z) be the second derivative of -3*z + b*z**3 + 0 + 0*z**2. Give x(o(w)). -4*w**2 Let p(u) = 2*u. Let q(b) = -133*b**2 - 77*b - 77. Let m(j) = 7*j**2 + 4*j + 4. Let c(d) = 77*m(d) + 4*q(d). Determine c(p(f)). 28*f**2 Let q(y) = -13341*y**2 + 6670*y**2 + 6672*y**2. Let a(l) = -17*l + 4. Let i(t) = -494*t + 117. Let b(v) = 117*a(v) - 4*i(v). Calculate q(b(d)). 169*d**2 Let v be 2/(-7) - 176/(-28). Let f(y) = 11*y**2 - v*y**2 - 7*y**2. Let j(s) = 3*s**2. What is f(j(r))? -18*r**4 Suppose 0 = -3*k - 0*k - 4*u + 6, 2*u = 2*k - 4. Let s be (-3)/(1/k - 2). Let g(n) = 0*n**2 + 3*n**2 - 4*n**s + 0*n**2. Let a(j) = 3*j. Calculate a(g(q)). -3*q**2 Let l(c) = 486*c. Let s(d) = -d**2. Determine l(s(v)). -486*v**2 Let f(g) = -6*g**2. Let d(w) = -7*w**2. Let p(h) = 5*d(h) - 6*f(h). Let j(r) = 0*r**2 + 3*r**2 - r**2. What is j(p(l))? 2*l**4 Let t(k) be the third derivative of 5*k**2 + 0*k - 1/60*k**5 + 0 + 0*k**4 + 0*k**3. Let p(m) = -17*m. What is p(t(y))? 17*y**2 Let m(u) = 5*u. Let z(q) = -2*q. Let o(n) = n**3 - n + 2. Let f be o(2). Let j(l) = f*z(l) + 3*m(l). Let v(r) = 5*r + 2*r**2 - 9*r + 4*r. Determine v(j(p)). 2*p**2 Let a(k) = -4*k. Let b(q) = 2*q - 319. What is b(a(t))? -8*t - 319 Let l(x) = -2*x. Let r(f) = -1. Suppose g - h + 5 = -4*g, 3*g + 3 = 5*h. Let k be 2 - (g + 0/1). Let b(i) = 6*i - 3. Let n(q) = k*r(q) - b(q). What is n(l(v))? 12*v Let u(s) = 4*s - 10. Let k(h) = -h. Give k(u(t)). -4*t + 10 Let v(u) = -u. Let s(g) = -8*g. Let t(c) = s(c) - 3*v(c). Let i(q) = -3*q**2. What is i(t(l))? -75*l**2 Let s(g) = -8*g**2. Let q(f) = -1. Let b(z) = -2*z**2 + 4. Let m(o) = b(o) + 4*q(o). Give s(m(h)). -32*h**4 Let w(l) = -2*l. Let n(x) = 754*x - 1. What is n(w(y))? -1508*y - 1 Let f(n) = 5*n**2. Let c(v) be the third derivative of -7*v**4/24 - 22*v**2. What is c(f(s))? -35*s**2 Let g(w) = 12798*w. Let z(s) = -s. Determine g(z(o)). -12798*o Let y(a) = 2*a**2. Let f(u) = 3 - 5 + 2 + 6*u. Determine f(y(p)). 12*p**2 Let v(a) be the third derivative of -a**7/5040 - a**5/60 - a**2. Let o(g) be the third derivative of v(g). Let i(w) = 4*w**2 - w**2 - 4*w**2. Determine i(o(t)). -t**2 Let t(m) = -2*m**2. Let j(f) = -2*f**2 - 5*f - 5. Let d(b) = 9*b**2 + 24*b + 24. Let y(l) = -5*d(l) - 24*j(l). Calculate y(t(a)). 12*a**4 Let t(k) = -164*k. Let i(g) = -13*g + 6*g + 5*g. Determine i(t(a)). 328*a Let b be ((-8)/14)/((-10)/35). Let f(x) = -72 + 72 - 3*x**b. Let d(k) be the first derivative of -k**2/2 - 1. Determine d(f(h)). 3*h**2 Let h(s) = -34*s**2. Let x(v) = -3*v**2 + 12*v**2 - 10*v**2. What is h(x(r))? -34*r**4 Let u(n) = 214*n. Let q(f) = -9*f. Determine q(u(i)). -1926*i Let i(x) = 2*x**2. Let z(o) = -12*o**2. Give z(i(a)). -48*a**4 Let i(b) = 950*b - 1. Let q(w) = -7*w. What is q(i(p))? -6650*p + 7 Let s(w) = -2*w**2 + 3. Let n(m) = m**2 - 1. Let d(o) = 3*n(o) + s(o). Let u(v) = -15*v. Determine u(d(f)). -15*f**2 Let d(w) = w + 3. Let v(r) = r + 4. Let t(u) = 4*d(u) - 3*v(u). Let a(n) = -6*n**2. Determine a(t(q)). -6*q**2 Suppose -3*h = -8*h, 4*m + 4*h - 8 = 0. Let z(j) = -j**2 - 5*j**m - j**2. Let d(x) = x**2. Calculate d(z(k)). 49*k**4 Suppose 0*d + 2 = d. Let z(v) = v**2 - 4*v**2 + 2*v**2 + 4*v**d. Let j(i) = i**2. Calculate z(j(f)). 3*f**4 Let x(s) = -s**2 + 3*s**2 + 4*s**2 - 4*s**2. Let i(h) = -2*h - 3*h + 3*h. Calculate i(x(w)). -4*w**2 Let c(k) = -k**2. Let b(v) = -4*v + 121. Determine b(c(a)). 4*a**2 + 121 Let z(d) = -d**2. Let t(p) = -2*p + 543. Determine z(t(a)). -4*a**2 + 2172*a - 294849 Let z(r) = -3*r + 2. Let x(s) = 16*s - 11. Let p(y) = -2*x(y) - 11*z(y). Let o(m) = -2*m**2 + 7143*m - 7143*m. Give o(p(d)). -2*d**2 Let w(p) = -p**2. Let q be (-16)/20*(-19 - 1). Let a = q - 7. Let l(z) = 9*z - z**2 - a*z. What is l(w(h))? -h**4 Let c = -5 - -3. Let h be 2 - 2 - 22/c. Let n(x) = x**2 - h + 11. Let j(v) = -2*v. Determine j(n(t)). -2*t**2 Let w(g) = -5*g**2. Let a = 16 - 16. Let m(v) = -v + 3*v + a*v - 3*v. Calculate w(m(z)). -5*z**2 Let f(n) = -11*n. Let q(p) = 204*p**2. What is q(f(w))? 24684*w**2 Let z(f) = 3*f. Let w(q) = -4*q**2. Let b = -20 + 46. Let l(c) = 17*c**2. Let t(u) = b*w(u) + 6*l(u). Determine z(t(i)). -6*i**2 Let f(k) = -k. Let u(n) = -3*n**2 + 17. Determine u(f(w)). -3*w**2 + 17 Let y(u) = -40*u**2. Let n(q) = 2*q. Calculate y(n(i)). -160*i**2 Let g(t) be the first derivative of 2*t**3/3 - 16. Let d(h) = -9*h. Determine g(d(z)). 162*z**2 Let n(h) = 7*h**2. Let v(o) = -35*o - 26*o - 3*o**2 + 61*o. Give v(n(z)). -147*z**4 Let u(y) = -8*y. Let w(h) be the third derivative of h**8/20160 + h**5/30 + 8*h**2. Let l(k) be the third derivative of w(k). Calculate l(u(s)). 64*s**2 Let d(w) = 2*w + 684. Let s(v) = v**2. Give s(d(g)). 4*g**2 + 2736*g + 467856 Let g(n) = -n. Let p(q) = 25*q**2 + 4*q - 4. Let v(z) = 49*z**2 + 7*z - 7. Let t(b) = -7*p(b) + 4*v(b). Give t(g(o)). 21*o**2 Let z(g) = 10*g**2. Let i(a) be the third derivative of a**5/30 - 2*a**2. Give z(i(b)). 40*b**4 Let c(p) = -2*p. Let i(g) = -6*g + 4. Let o(r) = 7*r - 5. Let n(v) = 5*i(v) + 4*o(v). Let y be n(-6). Let x(j) = -2*j + y - 12. What is c(x(u))? 4*u Let k(x) = -73*x**2. Let a(f) = -28*f**2 + 1. Calculate k(a(i)). -57232*i**4 + 4088*i**2 - 73 Let a(v) be the second derivative of v**6/360 - v**4/6 - 5*v. Let c(b) be the third derivative of a(b). Let l(t) = -13*t. Determine l(c(x)). -26*x Let g(y) = -9*y**2. Let p(m) = -525*m + 2. What is g(p(h))? -2480625*h**2 + 18900*h - 36 Let i(c) = -c**2. Let q(s) = -66*s**2. What is i(q(p))? -4356*p**4 Let k(z) = 3*z. Let x(w) be the second derivative of 0*w**4 + 2*w + w**2 + 0 + 0*w**3 + 1/30*w**5. Let j(s) be the first derivative of x(s). Calculate k(j(u)). 6*u**2 Let b(o) be the first derivative of -2*o - 2 + 0*o**3 + 1/6*o**4 + 0*o**2. Let r(l) be the first derivative of b(l). Let a(h) = 2*h. What is r(a(n))? 8*n**2 Let x(n) = 4*n. Let f(p) = -2*p. Let q be f(-1). Let t(c) = 4*c**q + 5*c**2 - 7*c**2. What is t(x(i))? 32*i**2 Let u(d) be the second derivative of d**5/20 - d**3/6 - 3*d. Let k(j) be the second derivative of u(j). Let s(x) = -2*x. Give s(k(r)). -12*r Let a(m) be the
{ "pile_set_name": "DM Mathematics" }
rest one hundred. -303000 Round 96137.9417 to the nearest 10000. 100000 What is -10324927.8 rounded to the nearest 100000? -10300000 What is -0.30607047 rounded to 4 dps? -0.3061 Round -843.892082 to the nearest 10. -840 Round 12091.1198 to the nearest one thousand. 12000 Round -1.326738575 to four decimal places. -1.3267 What is -1249084873.4 rounded to the nearest ten thousand? -1249080000 Round -64354732 to the nearest one million. -64000000 What is 43.51032651 rounded to 1 dp? 43.5 What is 617.894495 rounded to zero dps? 618 What is 32729392 rounded to the nearest 1000000? 33000000 What is 4351567.55 rounded to the nearest 10000? 4350000 What is 481.40595 rounded to 0 dps? 481 What is -1578.19709 rounded to the nearest 1000? -2000 Round -0.00224550702 to 4 decimal places. -0.0022 Round -81.2997026 to the nearest integer. -81 Round -6114005.12 to the nearest 100. -6114000 Round -2371.40655 to zero decimal places. -2371 Round -0.00000031085661 to 7 dps. -0.0000003 Round -28.5307704 to 3 dps. -28.531 Round -1.68515274 to 1 decimal place. -1.7 What is -1260.33536 rounded to the nearest integer? -1260 Round -1144.553615 to one decimal place. -1144.6 What is 0.0115179018 rounded to six decimal places? 0.011518 What is 0.0429273491 rounded to 4 dps? 0.0429 What is -1.2817712 rounded to one decimal place? -1.3 Round -0.00510138644 to three dps. -0.005 What is -0.000930501375 rounded to 7 decimal places? -0.0009305 Round -7826.9494 to the nearest 100. -7800 Round 0.06816059416 to six dps. 0.068161 What is -34.7887855 rounded to 3 decimal places? -34.789 What is -34983671 rounded to the nearest one million? -35000000 Round 0.0135400271 to 3 decimal places. 0.014 Round 1155147.412 to the nearest 10000. 1160000 Round -7103347.06 to the nearest ten thousand. -7100000 Round 12586107.4 to the nearest 1000000. 13000000 What is 1036351670 rounded to the nearest 100000? 1036400000 Round 0.00061367629 to six dps. 0.000614 What is -3344.92597 rounded to the nearest integer? -3345 Round -154.638659 to 2 decimal places. -154.64 Round -0.0000187771236 to 5 dps. -0.00002 Round 22819.65767 to the nearest ten thousand. 20000 What is 1649918.393 rounded to the nearest one hundred thousand? 1600000 What is 6977032 rounded to the nearest ten thousand? 6980000 What is -40442.90129 rounded to the nearest ten thousand? -40000 What is -6876641272 rounded to the nearest 1000000? -6877000000 What is -25490.644595 rounded to 0 dps? -25491 What is 0.00003892190165 rounded to seven dps? 0.0000389 Round -258845.175 to the nearest one thousand. -259000 Round -0.00000197659894 to 7 dps. -0.000002 What is -149.6968908 rounded to one decimal place? -149.7 Round 0.00008066693843 to 7 decimal places. 0.0000807 What is 0.000000250914022 rounded to seven dps? 0.0000003 Round 0.00017924165 to four dps. 0.0002 What is -410531.155 rounded to the nearest ten thousand? -410000 What is -0.457753279 rounded to 2 decimal places? -0.46 What is -0.00022117463 rounded to 7 decimal places? -0.0002212 What is 0.0246795239 rounded to 4 dps? 0.0247 What is 191.1176429 rounded to 0 dps? 191 What is 0.5915598086 rounded to 4 decimal places? 0.5916 What is -498.165288 rounded to the nearest 10? -500 What is -0.0026309907 rounded to four dps? -0.0026 What is 0.00197829605 rounded to three dps? 0.002 What is -12.733764 rounded to zero dps? -13 Round -955204880 to the nearest 100000. -955200000 What is -0.58758324 rounded to one dp? -0.6 What is 4.15914287 rounded to 3 decimal places? 4.159 What is 1058.47487 rounded to 1 dp? 1058.5 What is -2524.3583 rounded to the nearest integer? -2524 Round 30953336.34 to the nearest 10000. 30950000 Round -0.00437353759 to four dps. -0.0044 What is 37541949.72 rounded to the nearest 100000? 37500000 Round 29485.44202 to the nearest 10. 29490 What is -9001242.19 rounded to the nearest 10000? -9000000 Round 28925680.26 to the nearest ten thousand. 28930000 What is 4305.83666 rounded to the nearest 10? 4310 What is -258304.545 rounded to the nearest ten? -258300 What is 12994397.723 rounded to the nearest 1000000? 13000000 What is 9955611.69 rounded to the nearest 1000000? 10000000 What is 12.09429311 rounded to 3 dps? 12.094 What is 0.0172541062 rounded to 3 dps? 0.017 Round 0.00048341294 to 7 decimal places. 0.0004834 What is -0.0455991117 rounded to three decimal places? -0.046 What is -3243.3551 rounded to the nearest 10? -3240 What is -7678.54954 rounded to the nearest 10? -7680 What is 21042583.37 rounded to the nearest 10000? 21040000 What is 15032594.5 rounded to the nearest 10000? 15030000 Round -33089992.39 to the nearest ten thousand. -33090000 What is 0.00115520973 rounded to 7 decimal places? 0.0011552 What is 4.51733304 rounded to 1 decimal place? 4.5 What is 0.00000350219541 rounded to 6 dps? 0.000004 Round 0.002052781941 to 6 decimal places. 0.002053 What is 1775.82161 rounded to the nearest 1000? 2000 Round -0.00001429257646 to six dps. -0.000014 What is 0.0217340462 rounded to 5 decimal places? 0.02173 What is -0.000020687885 rounded to five dps? -0.00002 Round 0.0000497256382 to seven dps. 0.0000497 Round -0.0014650017348 to 5 dps. -0.00147 What is -146020.489 rounded to the nearest 10? -146020 Round 31585723.9 to the nearest one million. 32000000 What is -5.1955719 rounded to one dp? -5.2 What is 0.00212626671 rounded to 6 dps? 0.002126 Round -16401106685 to the nearest 100000. -16401100000 Round -18405.71194 to the nearest integer. -18406 Round 140321.62347 to the nearest 10000. 140000 Round 97325.052 to the nearest 100000. 100000 Round -77121.8995 to the nearest one hundred. -77100 Round 4.26545901 to three dps. 4.265 Round -0.000050588659 to six dps. -0.000051 Round 0.342109733 to 4 dps. 0.3421 What is 12893562.8 rounded to the nearest 1000? 12894000 Round -11186.84414 to the nearest one thousand. -11000 What is -66884.488 rounded to the nearest one thousand? -67000 Round 0.023281832 to 2 decimal places. 0.02 Round -5.9656032 to 1 dp. -6 What is 746.1232423 rounded to 0 decimal places? 746 What is 57.8381064 rounded to 0 dps? 58 What is -0.02291302 rounded to three dps? -0.023 Round 160.842133 to two decimal places. 160.84 Round -0.0039506732 to 2 decimal places. 0 What is -143.9351052 rounded to 3 decimal places? -143.935 Round 0.00003938047 to six decimal places. 0.000039 What is -6503053.415 rounded to the nearest 10000? -6500000 What is -0.00001214055464 rounded to 7 decimal places? -0.0000121 Round -1066069.948 to the nearest 100000. -1100000 What is 0.125535219 rounded to 5 dps? 0.12554 What is -0.00020451916 rounded to six dps? -0.000205 Round 8.85282416 to the nearest integer. 9 What is -224376.758 rounded to the nearest 10000? -220000 Round 0.0002545211 to 4 dps. 0.0003 What is 0.608760375 rounded to 4 decimal places? 0.6088 Round -104542217 to the nearest 1000000. -105000000 Round 0.09571607083 to six dps. 0.095716 Round 43.4139621 to three dps. 43.414 What is 1825166.355 rounded to the nearest one thousand? 1825000 Round -3134505710 to the nearest one hundred thousand. -3134500000 Round -701774215 to the nearest one million. -702000000 Round 675773.292 to the nearest 10000. 680000 What is -0.51711824 rounded to 2 decimal places? -0.52 Round -0.00000017845343 to 7 decimal places. -0.0000002 Round 576477.5731 to the nearest 100000. 600000 What is -0.0000032623377 rounded to 7 dps? -0.0000033 What is -0.00792226824 rounded to 4 dps? -0.0079 What is -607086890 rounded to the nearest 1000000? -607000000 What is -1.633441074 rounded to two dps? -1.63 Round -1269.30184 to the nearest 1000. -1000 What is -17016710.36 rounded to the nearest 1000? -17017000 What is -0.186154685 rounded to five dps? -0.18615 What is 0.00010902278 rounded to 6 decimal places? 0.000109 Round 0.125731416 to 3 decimal places. 0.126 What is 424.6511951 rounded to the nearest ten? 420 Round 0.407346955 to four decimal places. 0.4073 Round -0.000004359032 to six dps. -0.000004 Round 4323683860 to the nearest 100000. 4323700000 What is 3485722.9 rounded to the nearest 1000? 3486000 Round 0.121749729 to 4 decimal places. 0.1217 Round 0.40234516 to the nearest integer. 0 Round 10385123147 to the nearest one million. 10385000000 What is -0.257370841 rounded to 3 dps? -0.2
{ "pile_set_name": "DM Mathematics" }
22*u. Let y be (-3)/(-6) + 62/4. Solve -5*w - u = 5*s, -s + 2*w = -6*s - y for s. -4 Suppose 0 = -124*q + 842 - 222. Suppose 0 = o - 2 - 1. Let k = o - 1. Solve -2*y - y = 4*b - 1, k*y + q*b = 3 for y. -1 Suppose -4200 + 4172 = -14*t. Solve -d - z = 4*d + 28, -t*d - 19 = 3*z for d. -5 Let y(g) = -2*g - 298. Let o be y(-158). Solve 4*w + 3*s - 31 = 0, -o*w - 5 = -23*w + 3*s for w. 4 Let q = -12761 - -12802. Solve q = 4*u - 5*c, -5*u = c - 6*c - 45 for u. 4 Let d be (-1 + (-3)/(-4))/(1/(-428)). Suppose 5*w + d = 117. Solve -16 = 4*s + w*q, 0 = -7*s + 2*s + q - 20 for s. -4 Let y be (-2322)/(-6) + -1 + -2. Let l be (y/30)/(-8)*(0 - -5). Let p be (2/l)/(3 - (-50)/(-16)). Solve 4*m + 5*f - 31 = 0, 0*m = -m + 2*f - p for m. 4 Suppose -p + 436 = -4*f, -p + 409 + 67 = 4*f. Solve 2*r - x = -462 + p, 6 = -3*x for r. -4 Let u be 2 - (6/(-4) - -1)*-6. Let n be -1 + -1 - (u - -1)/(-3). Let t(x) = -5*x - 5. Let h be t(n). Solve -3*c = -h*p + 2*c - 20, 4*p + 11 = -c for p. -3 Suppose 30 = 2*d - 0. Let h be 8/(-6)*15/(-1). Suppose w + 46 - 38 = -37*q, -3*q + 3*w + 24 = 0. Solve 4*b - p = -q*b - h, 0 = 3*b - 3*p + d for b. -5 Suppose -200 = -5*n - x, -5*n + x + 36 + 164 = 0. Suppose 235*t + n = 240*t. Solve -h = -c + 1, -3*c = -t*c for h. -1 Suppose -59 = -5*a + g - 10, -2*a + g = -16. Solve -4 = -2*t + s, -5*t - 2*s + 4*s = -a for t. 3 Suppose 0 = 4*a - 45 + 17. Let o be (-1)/(1 - (-64)/(-68)). Let k = o - -21. Solve -k*t = -3*i + a, 5*i - 3 = 3*t + 5 for t. -1 Let v(r) = r**2 - r - 3. Let w be v(6). Suppose 0*p + w = 3*p. Let q be ((-557)/(-1671))/((-2)/(-18)). Solve q*m + p = c, -6 = 2*m - c + 6*c for m. -3 Suppose -28 = p - 5*d, 0 = -54*p + 49*p + 2*d + 21. Solve -4*z - 5*m = -10*m - 37, 6 = p*z + 3*m for z. 3 Suppose 47 = 3*h - 5*x, -x - 31 = 2*h - 5*h. Suppose -9*a + 8*a = 41. Let t = a + 41. Solve 4*k - 2*c = -10, t*c - h = 3*k - 2*c for k. -1 Suppose -72*v + 76*v = -w, -18 = -4*w + 2*v. Solve 3*y = w*n + 18, -7*n - 9 = -3*y - 6*n for y. 2 Suppose -4*a = -4*p - 264, 11*p + 7 = 12*p. Solve 0 = 5*w - 76*g + a*g + 23, 0 = 4*w + g + 15 for w. -4 Let y(b) = -49*b + 2600. Let h be y(53). Solve -4*t + 6 = -2*j, -8 = 5*j + h*t + 7 for j. -3 Suppose -s - 28*o = 106 + 141, 3*o + 47 = 4*s. Solve -35*p - 2*a = -40*p + s, -12 = -3*p + 3*a for p. -1 Let u = -20448 + 20453. Solve 0 = 2*b - z + 1, -u*z = -3*b + 13 - 4 for b. -2 Let m be (2/4)/((-3)/(-24)). Suppose m*i = -0*i + 28. Suppose 5*b - 5*h + h = 22, -2*b + h = -i. Solve 0 = 5*j - b*r - 11, 8*j - r = 3*j + 8 for j. 1 Suppose l - 656 = -10*u + 5*u, 0 = -u + 2*l + 118. Solve 0 = 4*s + u*k - 126*k, 2*s + k = 4 for s. 4 Let s = -133 + 141. Suppose 0 = 4*p + 2*v - s, 0 = 4*p - 9*v + 6*v - 28. Solve -p*h = f + 7 + 14, 0 = 2*h + 3*f + 23 for h. -4 Suppose -10 = h + 3*n, -16 = -923*h + 925*h + 5*n. Let w = 13 + -2. Solve 0 = -h*t - r + 13, 3*t - 3*r = -t + w for t. 5 Let g(d) = 10*d - 35. Let h be 1/(-1) + (-68 - -73). Let f be g(h). Solve 5*b + a = -30, 0*a - 2*a + 15 = -f*b for b. -5 Let b = 53 - 29. Suppose v = -2*v + b. Suppose 3*h = 2*j - v, 0*j = 5*h + j - 4. Solve 5*c - 2*d = -h*c - 5, 3*d = 0 for c. -1 Let j(q) = 64*q + 2050. Let c be j(-32). Solve 3*w + 19 + 4 = -4*p, -p + 3*w - c = 0 for p. -5 Let r = -2908 - -2935. Solve 2*d - 3*q - 6 = -5*q, 5*d + r = 2*q for d. -3 Suppose 544 = 9*i + 266 + 260. Solve 2*d + 5 = z - i, -11 = 3*d - 2*z for d. -3 Let f = 73 + -4. Let c = 71 - f. Suppose -3*t + 2*t = -5. Solve -14 = c*o + t*b, b + 4 = -4*o - 6 for o. -2 Suppose 2*q + 50 = 4*k, 0 = -q - 1 - 2. Let m be 2 + (k + -3)*3. Suppose 5*o + 2 = -r - 0*r, 0 = 3*r - o - m. Solve 5*a = 2*y + 4, 3*a = -4*y - 0*a - r for y. -2 Let m(p) = 12 + 18 + 24*p - 3*p - 18*p. Let s be m(-9). Solve 3*f = 5*n - 32, -13 = 2*f - 2*n + s for f. -4 Let m = 12 + -6. Let h be 1 + 4/m*21. Let w(b) = b**2 + 48*b - 510. Let o be w(9). Solve -g = -5*g - 5*z + 25, -o*z = -5*g - h for g. 0 Let h be (-9)/4*-2*280/630 + 5. Solve -h*n + 12*n - 19 = 3*c, 3*c - n = 1 for c. 2 Suppose 8*p - 2*p - 42 = 0. Suppose p*z = 3*z + 20. Suppose z*h + 2 = 7. Solve -5*s = 2*l - 14, s - 2*l + 3*l = h for s. 4 Let a(w) be the second derivative of 16*w + 2*w**2 - 1/3*w**4 - 1/20*w**5 - 1/3*w**3 + 0. Let i be a(-2). Solve -4*o - 8 = i, m + 5*o + 0 + 8 = 0 for m. 2 Let a be (-2)/(-7) - 38/(-14). Solve -a*w - 8 = -5*f, -5 + 7 = 4*f + 2*w for f. 1 Suppose 4 = 44*v - 46*v. Let x be 5 + (-2 + v - -1) - -3. Solve 10 = -x*z, 3*q - 11 = 5*z + 5 for q. 2 Let b be (-4 - -2)/(34/(-85)). Let w be ((-9)/b)/(-13 - (-966)/75). Solve -3*d - w = -3*g, 3*d - 4*d - 2*g + 4 = 0 for d. -2 Let l = -95 - -95. Let x(f) = l*f**2 + 5 + 6 + f**2 + f**3 - f - 7*f**2. Let a be x(6). Solve -4*k - a*h = 23, 2*k + 0*k = -h - 7 for k. -2 Let a = 10 - 6. Let n be (2/17)/(-1) + 27 + 28755/(-1377). Solve 3*h = -a*c, 3*c + h - n*h = 0 for c. 0 Suppose 46*g = 56*g. Solve -q + 16 = 5*d, 3*d + 2*q - 7*q - 32 = g for d. 4 Let u be 13/(-221) + 430/85. Solve -h + 3*c = 5, -u*h + 3*c - 3 = -14 for h. 4 Let r be ((2 - 1) + -4)/(-26 - 784/(-32)). Solve 3*h = -3, -4*h + r*h = -4*m - 6 for m. -2 Suppose 10 = 6*m - m. Let r be (212 + 2)/(-1) - 93/(-31). Let g = -211 - r. Solve 2*d - m*t = -4, -t - 4*t + 10 = g for d. 0 Let i = -939 + 942. Solve -2*p = -10, -2*a + 2*p = p + i for a. 1 Let f be (-1 - 0)*8*-2. Let w = 12311 - 12309. Solve -5*i + 20 = -5*c + 3*c, -f = w*c - 4*i for c. 0 Let l = -14357 - -14436. Solve 3*v - 5*y + 20 = 0, -2*y = -3*v + l - 96 for v. -5 Suppose 129*l - 4 - 258 = -2*l. Let x(u) = 2*u - 10. Let p be x(7). Solve -l*s + p*i - i - 5 = 0, -2*s - 1 = i for s. -1 Let m = -49 - -44. Let f = m + 7. Solve 19 = -3*o + f*x - 4*x, 5*o - x = -23 for o. -5 Let z = 46 + -33. Suppose -14*m + z*m + 5 = 0. Suppose -3 = -m*r + 3*l, r - 4 = -2*l + 7. Solve 2*q - y + 6 + 4 = 0, -2*q = -r*y + 10 for q. -5 Suppose 2*t - 44 = -2*k, 4*t - 4*k - k - 43 = 0. Let l(p) = -p**3 + 16*p**2 + 19*p - 34. Let u be l(t). Solve 3*g = -3*i - i - 6, 2*i = u for g. -2 Suppose -4*c - 55 = -13*c - 19. Solve -5*z = 2*l + 35, -4*l = -0*l + c*z + 40 for l. -5 Let x(r) = 3*r**2 - 10*r - 120. Let g be x(-5). Solve 0 = 4*t + g*s + 52 - 41, -13 = -t + 4*s for t. 1 Let j(f) = -373*f + 5225. Let q be j(14). Solve -q*g - 18 = -3*l, -22*l = -17*l - 10 for g. -4 Let k = 18283 - 18262. Solve 0 = f - 2*q - 2*q + k, 0 = 3*f + 4*q - 1 for f. -5 Let w = 5048 + -5036. Solve -3 = 3*s + 3*n, s + w*n + 9 = 13*n for s. -5 Suppose -77*k + 7 + 692 = 83. Solve -5*j = -3*g - 5, 10*j - 2*g - 6 = k*j for j. -2 Let k(g) = g + 1. Let l(h) = -1. Let r(x) = k(x) + 3*l(x). Let n be r(11). Solve m - a = 5, -4*m - a - 4 = -n for m. 2 Let i be ((-3)/(-10)*6)/(12/40). Let r be 0 + -4 + -2 + (37 - i). Suppose 0*h = 5*h - 5*k - 45, k = 5*h - r. Solve -u + 3*c = 0, 0 = -3*u + 6*c - c - h for u. -3 Let c = -637 - -638. Let u be 230/69 - c/3. Solve -3*o + 8 = -0*q + 5*q, -u*o = -3*q for o. 1 Suppose 251*u - 849*u - 666 = -3058. Suppose -2*g + 0*g + 4 = 0. Solve 4*o + d - u = -13, -3 = -g*o + d for o. -1 Let x = -534 - -276. Let z = x + 260. Solve p = -z*d, 2*p + 8 = 3*d - 6 for p. -4 Suppose 4*l = -3*n + 307 + 45, -5*n = -l - 579. Let u = -116 + n. Solve u = 4*f + 4*m - 4, f = -3*f - 3*m + 8 for f. 5 Suppose -d = 11*r - 15*r - 91, -4*d + 3*r = -338. Solve 0 = 4*w - 2*v + 18, -3*w - 4*v - d = -64 for w. -5 Let c = 28 - 28. Suppose 3*w + 10 = -5*a, -a + c*a - 4*w = 19. Solve 4*x = -t - t - 6, -5*t = -4*x + a for x. -1 Let a(u) = u**2 + 21 - 4*u - 17 - 5. Let o be a(-2). Solve f = -3*i + 18, -3 - o = 2*f - 4*i for f. 3 Let z(b) = b**2 - 11*b + 32. Let f = -113 + 118. Let i be z(f). Solve -4*j = -6*j - 4, -y + 3*j = -i for y. -4 Let w be (-9)/(-45) - (-9)/5. Suppose 7*i = 12*i - 50. Solve 5*g - i = w*l + 3*l, -2*g - 5*l = 10 for g. 0 Let t be (-612)/(-99) + 6/(-33). Suppose 21 = m - t. Suppose -43 + m = -4*j. Solve 0 = -3*h + 12, 4*r - h + 5*h = -j for r. -5 Let l(x) = 5*x - 2. Let t be l(1). Suppose 4*i = -4*i + 24. Suppose 3*y - 2*y - 4 = 0. Solve -2*k - y = -2*a, k - 1 - i = t*a for k. -5 Let f = 33573 - 33560. Solve 2*y - 11 = -3*x, 592*y + 5*x - f = 590*y for y. 4 Let k be (7 + -3 + -149)*1. Let a be 174/k*5/(-3). Solve 0 = 2*j + c + 3, -9 = 4*j + 3*c + a*c for j. -1 Let m(w) = -w**3 - 7*w**2 - 17*w. Let v(i) = i**2 - 7*i + 9. Let q be v(3). Let d be m(q). Solve -3*c -
{ "pile_set_name": "DM Mathematics" }
6 - -584796? 584794.354 Work out -108591.5 - 393. -108984.5 What is -239 - 0.060753? -239.060753 Subtract 101127.4 from -2.77. -101130.17 Add 0.2 and -2566754. -2566753.8 Sum 1 and 334119.24722. 334120.24722 Work out -22964.62 - -314. -22650.62 Calculate 0.5 + -31882474855. -31882474854.5 Work out -9685 - -442. -9243 -2922502 - -0.5 -2922501.5 What is 117786 plus 1002? 118788 What is the distance between -3059.551 and 1? 3060.551 -1671064 - -140 -1670924 Add together -3480283012 and -0.6. -3480283012.6 Total of -344750 and -3051. -347801 151.8054+2926 3077.8054 0.059815 + 414 414.059815 -702.37725 - -1 -701.37725 Subtract -109.5 from -708962. -708852.5 -0.112 - -0.008801 -0.103199 Sum 191743 and 378. 192121 What is 11 - 6417378? -6417367 What is -115546451 + -1259? -115547710 Add -24457732 and 5. -24457727 What is 0.20872 minus 2209.8? -2209.59128 Work out 4747091 + 0.3. 4747091.3 What is 1388 plus 0.094339? 1388.094339 Subtract -84.081246 from 255. 339.081246 What is the difference between 3 and -257431.304? 257434.304 Calculate -4921 + 154.5. -4766.5 What is 126474 less than -5675? -132149 Sum -571951 and -695. -572646 Add together -29.74423692 and 0.3. -29.44423692 -60.5644 + 2194 2133.4356 What is 20 - 1136928? -1136908 What is 0.1 - -120442.12? 120442.22 -1.61 + -8855426 -8855427.61 Sum 18 and -20.9963. -2.9963 What is the difference between 148060 and 6.1708? 148053.8292 Calculate -155.254801 + 11. -144.254801 -65.87 + 221.967 156.097 3 - -4993.163 4996.163 Work out 1624 - 243.3848. 1380.6152 Sum -33 and 43233461. 43233428 Calculate 35.80932 - 104. -68.19068 197+-2.43604 194.56396 Add -41888 and -1219.096. -43107.096 What is the difference between 5998614863 and 0.5? 5998614862.5 Work out -3958993 - -419. -3958574 Work out 23927826 - 0.86. 23927825.14 Put together -2.5 and -610578069. -610578071.5 What is -46994 minus -18500? -28494 What is 290.952 - 125411? -125120.048 Work out 14.41 - 1375.5217. -1361.1117 Add 17.327571 and 37. 54.327571 What is -0.0342399 - -0.16172? 0.1274801 14585940 - 0.079 14585939.921 Subtract -4 from -153950885. -153950881 Calculate -20085997.6 - 26. -20086023.6 -0.043992 - 1.473 -1.516992 What is -167.929 + 1.598? -166.331 Put together -8315 and 27197.7. 18882.7 What is -7.37 + -1.6114? -8.9814 101.7+248286.1 248387.8 0.08+-5922015 -5922014.92 Calculate -0.5 + 106474770. 106474769.5 Total of 0.5 and -229943522. -229943521.5 What is -0.24970763 minus -0.2? -0.04970763 What is -1.41595 plus -111.49? -112.90595 Add -34656883152 and -3. -34656883155 Subtract 0.5 from 9484782. 9484781.5 What is 8717337 plus 114? 8717451 Work out 448056929 + -0.2. 448056928.8 Subtract 1.0124 from -62.5. -63.5124 What is 3438588.8 + -6.1? 3438582.7 What is the distance between 5.039122 and -1.282? 6.321122 What is -282 less than -0.2613? 281.7387 Work out 3.2 + 133366397. 133366400.2 44.1 - -95546926 95546970.1 -2 - -79.67084 77.67084 Calculate 0.07516 - -11362. 11362.07516 Add together 0.03 and 0.4358911. 0.4658911 What is -0.014 - 59597.005? -59597.019 What is -653701287 less than 3.4? 653701290.4 What is 4683.70975 minus -10? 4693.70975 What is -2.58016 less than -525? -522.41984 Add together 28.50654 and 12.75. 41.25654 What is 3346060 less than -4.371? -3346064.371 What is -474303.7 less than 2.14? 474305.84 What is 0.050239 - 2.354? -2.303761 Subtract 10370058.74 from -2.5. -10370061.24 What is -1.92 plus 22619.5? 22617.58 Calculate -0.4 + -1460181.4084. -1460181.8084 What is -0.01 - 150477919? -150477919.01 Work out -4126635 + 186. -4126449 What is -0.16 + -336021101? -336021101.16 Add 2607689 and -189. 2607500 -43+-713588 -713631 Calculate -75284 - -82. -75202 What is 1683.95 less than -532? -2215.95 What is -97.22 take away -15266.4? 15169.18 What is 11330414.153 + 0.4? 11330414.553 Add -9498635 and -41.7. -9498676.7 -1 - 508534457 -508534458 Total of 2458647 and 0.509. 2458647.509 What is -614.5236 - 1.05? -615.5736 What is the distance between 7.7 and -69.959924? 77.659924 53 - 1483 -1430 What is -17 take away -2057.86? 2040.86 Add together -0.06454 and -521. -521.06454 What is -10345160 plus 1.468? -10345158.532 Calculate -88 - 0.08984. -88.08984 Calculate -40582 - 146. -40728 -126 + 605566 605440 -0.5+1.41171733 0.91171733 What is -22166.08 less than -0.17? 22165.91 Add together 138134 and -1.357. 138132.643 Sum 0.12 and 325962. 325962.12 What is -99672266 minus -0.2? -99672265.8 What is the distance between 0.4 and -3980424946? 3980424946.4 Add 0.2088 and -149.212. -149.0032 0.022078605 - 713 -712.977921395 What is 5 plus 4901146048? 4901146053 Add -6965 and 3.601. -6961.399 Put together 0.05 and -140.1145. -140.0645 What is 8797730459 less than 0.2? -8797730458.8 What is -1065.3 - 0.0328? -1065.3328 Calculate -1.94 - 63.007. -64.947 Add 620 and 7768. 8388 Put together -990.7457242 and 0.5. -990.2457242 Subtract -15 from -499.521698. -484.521698 Sum -81562653 and -0.115. -81562653.115 What is 0.3 take away 916320706? -916320705.7 -4698410+-0.1112 -4698410.1112 Work out 186 + -60096. -59910 Add together 3.066488 and -117. -113.933512 Work out 19.3314486 - 35. -15.6685514 Sum -23863953 and -2. -23863955 What is the distance between 11246944 and -2921? 11249865 Put together -2457129902 and -0.4. -2457129902.4 What is 0.45155 take away 42306? -42305.54845 What is 0.0001501363 minus -155? 155.0001501363 0 - 3811928084 -3811928084 What is -0.08441 plus 39744? 39743.91559 Work out -2222006.41 + 0.08. -2222006.33 What is 129 plus 104113638? 104113767 What is -1583.30457 take away -12? -1571.30457 What is the difference between -92447910 and 440? 92448350 What is the distance between -12179187 and 0.2? 12179187.2 What is 0.8683 - 563? -562.1317 Put together -543677392 and -3. -543677395 Calculate 83.2 - 3021105. -3021021.8 What is -5 minus -3.811928? -1.188072 Add -10286 and 939. -9347 Subtract -1 from -10603130491. -10603130490 What is -0.84753858 plus 5? 4.15246142 What is the distance between 192878 and 51? 192827 Subtract -1.6 from 0.279427. 1.879427 Work out -2269934709 + -0.36. -2269934709.36 Work out -0.4 + 42357527. 42357526.6 What is 159.345 plus -2.13? 157.215 Total of 1 and -367164669. -367164668 Subtract 5.229377 from -10.1. -15.329377 -10593746+2 -10593744 What is 276630 minus -34? 276664 Work out 30061519 - 0.4. 30061518.6 Put together 49.43 and -1488. -1438.57 Add -46 and 0.1295. -45.8705 Subtract -13 from -785710. -785697 Work out -585 + 1.3639133. -583.6360867 What is -14833422 - 657? -14834079 Calculate -85.317 + -0.0091. -85.3261 What is 5464494 less than 93? -5464401 What is the difference between 3.2 and 3977552? 3977548.8 Calculate 270112 + -7. 270105 -125610 + 42.2 -125567.8 Add -10 and -641546. -641556 Work out 8774292860 + 0.02. 8774292860.02 What is 348 less than -1010119? -1010467 0.08+0.5211217 0.6011217 Work out 0.7 + 895058185. 895058185.7 -11 - -4044.85 4033.85 Add together 30 and -0.0093129. 29.9906871 0+60708414 60708414 Put together -0.95 and 705.5361. 704.5861 -2 - 14757977 -14757979 What is 0.10137 take away -11008.4? 11008.50137 Calculate 0.3 - 387745553. -387745552.7 What is 0.0147 plus 116.57782? 116.59252 Calculate 840 - 1584.39. -744.39 What is -1526 - 0.001314? -1526.001314 What is -299 less than -694.4326? -395.4326 Work out -3 + -234018154. -234018157 Calculate -943.8 - -368.05. -575.75 Add 201.579989 and 9. 210.579989 -1202 - 92551 -93753 What is 8969 less than -2454? -11423 Add together 11891.6 and 766. 12657.6 What is -0.5 - 11688097677? -11688097677.5 -200332+-2.7 -200334.7 What is the distance between -34780700 and 393? 34781093 What is 535178922 + -6? 535178916 What is -7 minus 1433115452? -1433115459 Work out 2 - 95350722. -95350720 Calculate 1216076 - 72642. 1143434 What is 19930.522 less than 5? -19925.522 What is -111 + -18067857? -18067968 What is 4250 minus -1461284? 1465534 What is 5 minus 0.3518655? 4.6481345 Add together 1.46 and 6398.057. 6399.517 Total of 9426 and 282. 9708 182915.3 - -886 183801.3 What is 0.0070727 plus -0.59? -0.5829273 What is -245334828 minus -3? -245334825 Add together 3 and 85347.7. 85350.7 Add together 171967 and 0.089. 171967.089 Put together 95292 and -0.086. 95291.914 2430 + 239.8 2669.8 What is 26091 + -2026? 24065 Subtract 684727 from 4
{ "pile_set_name": "DM Mathematics" }
is the third derivative of 14*c**2 - 34*c**2 + 4*c**4 + 3*c**r wrt c? 96*c Let z(u) be the third derivative of 47*u**7/42 + 47*u**4/12 - u**2 - 10*u. Find the second derivative of z(n) wrt n. 2820*n**2 Suppose 12 = -13*x + 9*x. Let n = 5 - x. What is the second derivative of -b + n*b**2 + 0*b**2 + 2*b**2 - b wrt b? 20 Let f(g) = 2*g**2 + 62*g - 117. Let p(q) = 2*q + 1. Let t(l) = f(l) - 4*p(l). Find the first derivative of t(z) wrt z. 4*z + 54 Find the second derivative of 3 - 219*t**4 - 172*t + 128*t**4 + 349*t - 135*t**4 - 167*t wrt t. -2712*t**2 Let h(k) be the third derivative of 157*k**6/40 - 169*k**4/8 - 442*k**2. Find the second derivative of h(u) wrt u. 2826*u What is the third derivative of -41*j**5 + 15*j**3 + 363 - 47*j**5 - j**2 + 90*j**5 wrt j? 120*j**2 + 90 Let h(b) = 589*b**3 + 450*b**2 - 9*b. Let i(o) = 1176*o**3 + 899*o**2 - 15*o. Let l(f) = 5*h(f) - 3*i(f). Find the third derivative of l(n) wrt n. -3498 Let m(z) = z. Let t be m(4). Differentiate -t*p**3 - 55 - 2*p**3 + 0*p**3 + 64 wrt p. -18*p**2 Let r(j) = -j**3 - 3. Let t be r(0). Let a be -4*t/6*1. Differentiate a - 4 - o + 1 - 2*o with respect to o. -3 Let k = -94 + 106. What is the derivative of 1 + k*r + 20*r - 9 wrt r? 32 Let j(n) = -2 + 2*n**3 - 39*n**2 - n + 45*n**2 - n**3. Let r be j(-6). What is the first derivative of 0 - 8 + 6*f**3 + r*f**3 - 2*f**3 wrt f? 24*f**2 Let f(k) be the second derivative of -77*k**6/30 + 7*k**4/12 + k**3/3 - 238*k + 1. Find the third derivative of f(m) wrt m. -1848*m Let x(g) = -60*g**3 - 6 - 2*g - 6*g - 2*g + 19*g**3. Let y(j) = -41*j**3 - 9*j - 7. Let t(a) = 7*x(a) - 6*y(a). What is the second derivative of t(s) wrt s? -246*s Let s be 7/14*0/2. Let b(g) be the third derivative of 0*g**4 - 1/60*g**6 + 0*g**3 - 1/30*g**5 + 0*g + s + 4*g**2. What is the third derivative of b(t) wrt t? -12 Let d(b) be the third derivative of b**9/504 - b**6/40 - 271*b**5/60 - 111*b**2. Find the third derivative of d(c) wrt c. 120*c**3 - 18 Find the third derivative of a + 5*a - 67*a**3 - 6*a + 115*a**2 - 42*a**2 wrt a. -402 Let h = 33 + 1. Let f = -33 + h. Find the third derivative of -1 - 14*d**3 + 4*d**3 - 10*d**2 + f wrt d. -60 Let t(a) = -a**3 - 9*a**2 + 12*a + 23. Let k be t(-10). Find the third derivative of -4*r**3 - 13*r**3 - 2*r**2 + 8*r**k wrt r. -54 Suppose 2*s = 3*p + 225 + 127, 2*p - 4 = 0. Find the third derivative of -182 - 21*y**3 + 2*y**2 + 2*y**2 + s wrt y. -126 Let r(k) = -12*k - 13. Let h(l) = -17 + 6 + 10. Let a(j) = 2*h(j) - r(j). What is the derivative of a(m) wrt m? 12 Let c = 9 - 9. Suppose 5*q - q + 16 = c, 3*q = 4*b - 32. What is the second derivative of -7*n**4 + 5*n + b*n - 2*n**4 - 3*n wrt n? -108*n**2 Let g(n) be the second derivative of -149*n**3/3 + 389*n**2/2 + 272*n. What is the derivative of g(a) wrt a? -298 Let q(i) = 5*i**3 - 1. Let h be q(1). Suppose 4*r = -h*z + 24, 5*z - 2 = 2*r - 0*r. Find the second derivative of 2*w + w + 81*w**2 - 74*w**z wrt w. 14 Let y(n) = -13*n**3 - 9*n**2 + 2865*n. Let z(q) = 3*q**3 + 2*q**2 - 573*q. Let b(m) = 2*y(m) + 11*z(m). Find the second derivative of b(w) wrt w. 42*w + 8 Let f = 1 + -1. Find the second derivative of 7*o + f*o - 2*o**2 + 4*o - 2*o wrt o. -4 What is the second derivative of -3*p**2 - 42*p**2 - 5*p + 4*p**2 - 97*p wrt p? -82 Let i(s) be the third derivative of -92*s**6/15 - 17*s**3 - 37*s**2 - 1. Differentiate i(h) wrt h. -2208*h**2 Find the second derivative of -88*g**5 + 1 + g**5 - 414*g - 9*g**5 - 106*g**5 wrt g. -4040*g**3 Let q be 1 - (-3)/(-6) - 6/(-4). What is the third derivative of -5*g**2 - 8*g**5 - 9*g**2 + 8*g**q wrt g? -480*g**2 Let s(z) be the third derivative of 179*z**8/84 - 91*z**5/20 + z**3/3 + 256*z**2. What is the third derivative of s(d) wrt d? 42960*d**2 Suppose -u = 5*j + 102, 0 = 5*j + 3*u - 22 + 118. Let y = -13 - j. What is the second derivative of 1 - y - 7*f**3 + 7 - 7*f wrt f? -42*f Let v(f) = -f**3 - 13*f**2 + 14*f. Let l be v(-14). What is the first derivative of 18*m - 44*m + 0 - 4 + l wrt m? -26 Let j(l) = 10*l**3 + 26*l. Let o(z) = z - 1. Let t(m) = 4*m - 5. Let r(f) = -5*o(f) + t(f). Let u(v) = j(v) + 4*r(v). Find the second derivative of u(k) wrt k. 60*k Let b be (-100)/26 + (12/(-26))/3. Let i(d) = 24*d**2 - 2. Let h(g) = -g**2. Let s(z) = b*h(z) + i(z). Find the first derivative of s(n) wrt n. 56*n Let s = 717 - 474. What is the second derivative of -9*j**4 - 255*j + s*j + 0*j**2 + 0*j**2 wrt j? -108*j**2 Let c = 87 + -84. What is the second derivative of -2*o**c - 32*o + 4*o + o**3 wrt o? -6*o Let k be (-21)/(-7)*(-6 + 4 - -3). Let p(h) be the first derivative of -k - 8*h + 0*h**3 - 9/4*h**4 + 0*h**2. Differentiate p(t) with respect to t. -27*t**2 Let v(f) be the second derivative of 7*f**6/360 - 7*f**5/30 - 35*f**4/12 + 6*f. Let s(h) be the third derivative of v(h). What is the derivative of s(b) wrt b? 14 What is the second derivative of 37 - 112*p**4 + p - 101*p**4 - 99*p**3 + 211*p**4 wrt p? -24*p**2 - 594*p Suppose 4 = -2*z + 22. Suppose b = 4*b - z. Find the third derivative of 3*j**2 - 366*j**3 + 366*j**b - 4*j**6 wrt j. -480*j**3 Let w(d) = 31*d**2 + 114*d + 181. Let a(u) = -6*u**2 - 23*u - 36. Let k(b) = 11*a(b) + 2*w(b). Differentiate k(p) wrt p. -8*p - 25 Suppose -5*c = 5 - 20. Suppose 16 = 4*o, -f + o - 14 = -3*o. What is the second derivative of 2*h**4 + 0*h + 2*h**c - 2*h - f*h**3 wrt h? 24*h**2 Let g(d) = d**3 + 7*d**2 - 8*d + 1. Let p be g(-8). Suppose -5*z + 9 = -4*r - 6, -4*r = 0. Find the second derivative of p - 7 - 11*k**4 + 6 + z*k wrt k. -132*k**2 What is the third derivative of 191*w**6 - 290*w**6 - 339*w**6 - 130*w**2 wrt w? -52560*w**3 Suppose -11 = -5*p + 3*f, -f = -2*p - 2*f + 11. Suppose -4*w = 4*o - 16, -p*o = -6 + 2. Differentiate -2*b**w + 4 + 2 + 3*b**3 - 4 wrt b. 3*b**2 Let s(k) be the first derivative of -k**4/2 + 22*k**3 - 157*k + 583. Differentiate s(h) wrt h. -6*h**2 + 132*h Let j(t) = 2*t - 12. Let r be j(12). Suppose -h = 3*h - r. What is the derivative of 3*i**h + 9*i - 6 - 9*i wrt i? 9*i**2 Let x(v) be the second derivative of -10*v**8/7 + 19*v**4/6 + v**2 + 63*v. What is the third derivative of x(h) wrt h? -9600*h**3 What is the third derivative of 197*q**3 + 5*q**2 - q**2 + 5*q**2 - 83*q**3 - 5 + 134*q**3 wrt q? 1488 Let t(f) be the first derivative of -341*f**6/6 + 387*f**2/2 + 476. What is the second derivative of t(w) wrt w? -6820*w**3 Let l(d) = -d + 6. Let s be l(6). Suppose -2*g + 3*y + 20 = s, 12 = -3*g + 5*g + y. Find the third derivative of g*u**5 + u**2 + u**5 + u**5 wrt u. 540*u**2 Let l(x) = 246*x**4 + 12*x**3 + 163. Let u(p) = 247*p**4 + 14*p**3 + 162. Let a(s) = -7*l(s) + 6*u(s). Differentiate a(r) wrt r. -960*r**3 Suppose -46*s + 128 = -14*s. Let z(n) be the third derivative of 0*n**3 + 0*n + 0 + 13/60*n**5 - 1/12*n**s + 12*n**2. Find the second derivative of z(m) wrt m. 26 Let l(h) be the first derivative of h**5/24 + 7*h**4/24 + 17*h**3/3 + 1. Let p(x) be the third derivative of l(x). Find the first derivative of p(b) wrt b. 5 Let f = -15 + 34. Let c = 24 - f. What is the third derivative of 20*p**2 - 32*p**2 + 17*p**2 + 3*p**c wrt p? 180*p**2 Find the first derivative of 83 - 102*f - 282 + 111*f + 132*f wrt f. 141 Let t(v) be the first derivative of -194*v**2 + 463*v + 419. Differentiate t(u) with respect to u. -388 Let r be 32/17 + (-14)/(-119). What is the first derivative of 5*b**4 + 8 + r*b**4 - 20*b**4 wrt b? -52*b**3 Find the third derivative of -48*y**2 - 757*y**5 + 1512*y**5 + 23*y**4 - 754*y**5 wrt y. 60*y**2 + 552*y Let m(a) = -480*a**3 + 97*a**2 - 2. Let y(f) = 961*f**3 - 197*f**2 + 5. Let k(j) = -5*m(j) - 2*y(j). Find the third derivative of k(t) wrt t. 2868 Suppose 0 = -w - 1 + 2. Let b(r) = r**5 + r - 1. Let l(i) = -11*i**5 - 3*i**2 - 4*i + 4. Let n(z) = w*l(z) + 4*b(z). What is the third derivative of n(u) wrt u? -420*u**2 Let y(f) be the first derivative of -53*f**4/4 + 14*f**3 - f**2/2 - 76. Find the third derivative of y(q) wrt q. -318 Let f(d) be the second derivative of 0 + 0*d**3 + 0*d**4 - 21/10*d**5 + 11/2*d**2 - 14*d. What is the derivative of f(k) wrt k? -126*k**2 Find the second derivative of -62376*w**3 - 9 + 0 - 4*w - w**2 + 62310*w**3 wrt w. -396*w - 2 Let a(y) = 62*y**2 + y + 88. Let r(j) = j**2 + j + 1. Let q(n) = a(n) - r(n). What i
{ "pile_set_name": "DM Mathematics" }
v) = -v**2 - 2*v - 22*v**3 - 1 + v + 2*v**2. What is the remainder when x(-1) is divided by o(-20)? 7 Let z(y) = -6*y**2 - y + 50. Let b(v) = 5*v**2 - 50. Let w(h) = -5*b(h) - 4*z(h). What is the remainder when w(0) is divided by 17? 16 Let g(s) = -s + 1. Let p be g(1). Suppose -2*a = -p*a - 8. Suppose 4*n = 12, -4*c + 23 = a*n - 205. What is the remainder when c is divided by 14? 12 Let x = 406 + -171. Calculate the remainder when x is divided by 34. 31 Let u(g) = -g - 1. Let w be u(7). What is the remainder when 41 is divided by -1*3 + (-136)/w? 13 Let i = -53 + 87. Suppose -5*v + 3*v + i = 0. What is the remainder when v is divided by (1*-1)/(112/40 - 3)? 2 Suppose 8*o = -23*o + 1178. What is the remainder when 148 is divided by o? 34 What is the remainder when 545 is divided by (2 + 4)/((-6)/(-110))? 105 Let v(g) = -g**3 + 4*g**2 - 10*g + 24. Let q(a) = a**2 + a - 1. Let f(o) = -2*q(o) - v(o). What is the remainder when f(7) is divided by 14? 13 Suppose -1094 = -2*t - 4*x, -2*x + 1136 - 3274 = -4*t. Calculate the remainder when t is divided by 45. 42 Let f = 108 + -16. Calculate the remainder when f is divided by 49. 43 Suppose 3*y = -y + 3*r + 14, -5*r = 5*y. Suppose 2*s = p - s + 10, 0 = y*s - 8. Calculate the remainder when (6/(-3))/(4/(-14)) is divided by p. 1 Let s(a) = -a + 200. Let k be s(0). Suppose 8*p + 2*p = k. Calculate the remainder when p is divided by 11. 9 Let l = 362 - 337. Let b(k) = k**2 + 4*k - 8. Suppose 3 = -o - 3. What is the remainder when l is divided by b(o)? 1 Suppose -5*h + 2676 = -154. Calculate the remainder when h is divided by 114. 110 Let y be 276/10 - 6/10. Let u = 40 - y. What is the remainder when 50 is divided by u? 11 Suppose 2*i + 5*j + 189 = 6*i, 4*j = 2*i - 102. Suppose 115 = 2*l + i. What is the remainder when l is divided by 10? 7 Let d be 3/(9/(-8))*(-135)/(-36). Let i = d - -27. What is the remainder when i is divided by 3? 2 Suppose 0 = -9*m - 18 + 153. Suppose -m*h + 19*h - 32 = 0. Let n(f) = -f**3 + 10*f**2 - 12*f + 1. What is the remainder when n(h) is divided by 12? 9 Let z(a) = -a - 1. Let h be 35/20 - (-4)/16. Suppose -34 = -5*g + h*u, g + 2*u + 0*u - 14 = 0. Calculate the remainder when g is divided by z(-4). 2 Let v = 918 + -899. Let i = 22 + -16. Calculate the remainder when v is divided by i. 1 Suppose 120*a = 35*a + 2040. What is the remainder when 475 is divided by a? 19 Let a = 84 + -136. Let r = 57 + a. What is the remainder when 11 is divided by r? 1 Suppose 0 = -2*m + 10, 5*f - f + m = -1547. Let b be f/12 - 6/9. Let x = b - -69. Calculate the remainder when x is divided by 13. 10 Let g = -33 - -114. What is the remainder when g is divided by 6? 3 Let p(v) be the second derivative of v**5/20 - 5*v**4/6 + 3*v**3/2 + 7*v**2/2 + 19*v. Calculate the remainder when 98/6 + 4/6 is divided by p(9). 3 Suppose -9*v + 133 - 7 = 0. Let l = 10 + -10. Suppose 37 = -l*b + b. What is the remainder when b is divided by v? 9 Let z = 728 + -541. Calculate the remainder when z is divided by 13. 5 Let s(o) = 38*o + 23. Let r be s(4). Suppose -r = -6*g - 37. Calculate the remainder when g is divided by 4. 3 Calculate the remainder when (84 - 394)*(-24)/15 is divided by 50. 46 Suppose 2 = 3*c - 22. Suppose 4*t = 3*t + c. Suppose -h = -t - 6. What is the remainder when h is divided by 3? 2 Let n be 9 + 7/(14/(-10)). Suppose -4*z + 241 = 2*a - 21, 0 = a + n*z - 133. What is the remainder when a is divided by 33? 30 Let m(w) = 4*w + 5*w**2 - 6*w**2 + 7 - 7. Let p be m(2). Calculate the remainder when 15 is divided by (3 + 12/(-8))*p. 3 Suppose -4*x + 118 = 2*s, s - 78 - 12 = -3*x. What is the remainder when 47 is divided by x? 16 Suppose 0 = -l + 3*l + 8, -4*l = -5*r + 56. Let c = 7 + -6. Let t(u) = 30*u. Calculate the remainder when t(c) is divided by r. 6 Let q(h) = 2*h + 1. Let j be q(1). Suppose -5*a + 75 = y, -2*y = 2*y - j*a - 369. Calculate the remainder when y is divided by 8/(-28) + (-424)/(-14) + 1. 28 Suppose 3 = -4*v + 7*v, -335 = -5*h - 5*v. What is the remainder when 855 is divided by h? 63 Let v(k) = -2*k - 3. Suppose -22*z + 2208 = 47*z. Calculate the remainder when z is divided by v(-6). 5 Let l(g) be the third derivative of 6*g**2 - 5/6*g**3 - 1/6*g**4 + 0 + 0*g. Calculate the remainder when l(-12) is divided by 22. 21 Suppose 0*h = -6*h + 450. Let q = -17 + -31. Let u = h + q. Calculate the remainder when u is divided by 14. 13 Suppose 4*x - 4 = -2*l, 7*l - 4*l - 4*x = 56. Let g = 0 - -2. Calculate the remainder when l is divided by (14 - (1 - 3))/g. 4 What is the remainder when 101 is divided by 12 + (-9 + 8 - -4)? 11 Suppose -7*a = f - 12*a - 20, 5*f - 13 = -4*a. Calculate the remainder when 43 is divided by f. 3 Suppose -5*d - 92 = -502. Suppose 5*l - 5*i = 110, l + 2*l + i = d. What is the remainder when l is divided by 140/21 - 1/(-3)? 5 Let v(n) = n**2 + 51*n + 23. Calculate the remainder when 90 is divided by v(0). 21 Suppose -2*w = -w. Let s be (-15 + 14)*w/2. Suppose s*x + 60 = 3*x. What is the remainder when x is divided by 8? 4 Calculate the remainder when ((-46)/(-4))/(2/4) is divided by 5/10*10/(-7)*-7. 3 Suppose 0 = -3*z + 1 + 332. What is the remainder when z is divided by (1/(-2))/(-6*4/912)? 16 Suppose -5*o = -j - 380, -3*j + 118 = 3*o - 92. What is the remainder when o is divided by 13? 10 Let j(b) = 12*b + 1. Suppose -2*t = 5*l - 262 + 23, 3*l + 4*t - 149 = 0. What is the remainder when l is divided by j(2)? 22 Let p = -23 + 29. Let y(r) = 9 + 81*r - 4 - 80*r. What is the remainder when 21 is divided by y(p)? 10 Suppose 4*c - 9*c = 3*y, 5*c - 5*y = 40. Suppose 0 = c*k + 6, -52 = -m - 3*m - 2*k. Calculate the remainder when 26 is divided by m. 12 Let k(q) be the second derivative of q**5/20 - q**3/6 + 27*q**2 - 2*q. Let t be (-4)/12*-3 + -1. What is the remainder when k(t) is divided by 28? 26 Suppose 3*l = 2*t + 89, 5*t = 3*l - 2*l - 47. What is the remainder when 214 is divided by l? 25 Let d(t) = t + 10. Let l(q) = q**2 - 47*q - 548. What is the remainder when l(-10) is divided by d(-5)? 2 Let n = -1697 + 1804. What is the remainder when n is divided by 13? 3 Suppose 21 = 5*z + 3*h, 0 = -4*z + 2*h + 3*h + 2. Suppose -79 - 71 = -2*x + 2*i, 0 = z*x - 5*i - 229. Calculate the remainder when x is divided by 19. 16 Let x(g) = 200*g**2 - 30*g - 32. Calculate the remainder when x(-1) is divided by 108. 90 Suppose h - 35 = -31. Calculate the remainder when (4/(-12))/(h/(-2028)) is divided by 34. 33 Suppose a - 2*a + 3 = 0. Suppose l + 8 = a*u, -3*u = -2*l + 2 - 6. Calculate the remainder when 18 is divided by u/1 + (-10)/(-10). 3 Suppose 458 = 32*a - 1238. What is the remainder when a is divided by (-34)/(-4) - 1/(-2)? 8 Let o(h) = h**2 + 32*h - 153. What is the remainder when 182 is divided by o(5)? 22 Let u(b) = -3*b + 45. What is the remainder when u(-32) is divided by 16? 13 Suppose -20 = -2*o + 2*p, 3*o = -2*o + 4*p + 54. Calculate the remainder when 61 is divided by o. 5 Let r(m) = -90*m + 7. What is the remainder when r(-1) is divided by 20? 17 Let p be (8 + -11 - -89)*(1 + 0). Let o = 126 - p. Calculate the remainder when 77 is divided by o. 37 Let w = -218 - -283. Calculate the remainder when w is divided by 55. 10 Let b(i) = i**2 + 10*i + 25. Let n be b(-9). Let m(h) = h**2 + 4*h - 13. Calculate the remainder when m(-9) is divided by 17/(4*4/n). 15 Suppose 0*y + 74 = 2*y + m, 4*m = -2*y + 80. What is the remainder when y is divided by 15? 6 Suppose 2*m + 380 = 4*u, 0*u + 3*m = 3*u - 279. Calculate the remainder when u is divided by (0 - 198/8)*(-44)/33. 31 Suppose -831 = -3*k - 198. Calculate the remainder when k is divided by 56. 43 Suppose 4*m + 3*z = 189, 0 = -2*m - m - 5*z + 150. Let r(v) = v**3 - 4*v**2 - 3*v + 6. What is the remainder when m is divided by r(5)? 13 Suppose -34*y + 168 = -30*y. What is the remainder when 2/(-8)*2*6 + y is divided by 9? 3 Let w = -149 - -22. Let b = w - -254. Calculate the remainder when b is divided by 32. 31 Let l = 663 - 403. Calculate the remainder when l is divided by 33. 29 Let g(f) = f**3 + 2*f**2 - 5*f + 3. Suppose -5*a - 17 = -27. Calculate the remainder when 28 is divided by g(a). 1 Let a(i) = -2*i - 1. Let z be a(-3). Suppose -z*k = -68 + 8. Let q(y) = -y**3 + 11*y**2 + 15*y - 5. What is the remainder when q(k)
{ "pile_set_name": "DM Mathematics" }
5*s = 11 for a. 3 Solve -4*o - 4 + 12 = -4*u, -3*u = 4*o - 1 for o. 1 Solve 4*q + 2*t + 8 = 0, t - 94 = 2*q - 90 for q. -2 Solve -4*k = -5*o + 4, 0 = -2*k - 3*o + 6*o - 2 for k. -1 Solve -13 = -j - 4*j + u, 5*u = -5*j - 5 for j. 2 Solve 5*b + 22 + 2 = -3*v, 5*v - 5*b = 0 for v. -3 Solve w - 5*s + 1 = -11, -2*w + 9 = s for w. 3 Solve 0 = 2*o + 6*m - m + 29, -4 = -3*o + 2*m for o. -2 Solve q - 3*t - 1 = -q, 3 = t for q. 5 Solve 4*d - 18*f - 8 = -22*f, 8 = -5*d + 4*f for d. 0 Solve -5*t = -0*g + 4*g + 15, 0 = -2*t - 3*g - 6 for t. -3 Solve 3*z = -2*i + 11, -4*z = 2*i - 19 + 3 for i. -2 Solve 0 = -m - 2*i - 6, 3*m + 16*i - 19*i = 0 for m. -2 Solve 2*d + 6 = 2*i, 0*i - 4*d = 2*i - 6 for i. 3 Solve -5*j - 5 = 4*v, 4*j = 5*v + 33 + 4 for v. -5 Solve -5*h - 2*y + 18 = 0, 10*h = 12*h + 5*y - 3 for h. 4 Solve -5*f = 5, -w + 4*f = -5 + 2 for w. -1 Solve -1 = v, -p - 4*v - 2 = -0 for p. 2 Solve -5*c - r = 6 + 9, -3*c - 4*r - 26 = 0 for c. -2 Solve 3*g + 5*s + 22 = 0, -22 = 5*g + 2*s - s for g. -4 Solve -3*t = -2*h - 16, -44*t - 2*h = -42*t + 6 for t. 2 Solve 6*m = 3*v + m + 16, v + m + 8 = 0 for v. -7 Solve 3*w - 4*k + 31 = 0, 5 + 35 = -4*w + 5*k for w. -5 Solve 0 = 5*f - 2*m + 18, 4 = -3*f - 5*m + 18 for f. -2 Solve -10 = -2*z - 2*g + 4*g, -2*z + 3*g = -11 for z. 4 Solve 42*y = 5*j + 44*y + 7, -2*j - 2*y - 4 = 0 for j. -1 Solve -2*r - 4 = o, -102*r + 106*r + 20 = -5*o for o. -4 Solve 2*t = 6*t - 2*q - 2, 0 = -2*t + 5*q + 13 for t. -1 Solve -5*o + 2*g = -2*o, 4*o + 20 = -4*g for o. -2 Solve 3*v - 5 = -2*t, 0 = -6*t + 2*t + 16 for v. -1 Solve 5*i = 5*p - 10, -i - 4*p + 5 = -2*i for i. -1 Solve 0 = -4*m, -5*p + 4*m = -2*p - 12 for p. 4 Solve 0*a + 4*a + 4*o + 28 = 0, 4*a + 2*o = -20 for a. -3 Solve -4*g + 2*g + 2 = -2*x, -2*x + 3*g = 5 for x. 2 Solve 18 = 2*x + 4*l, -4*l + 9 = x - 8 for x. 1 Solve k - 3*d - 13 = 0, -5*k - 4*d + 5 = -3 for k. 4 Solve 2*t + 8 = -2*y, -6 = t + 77*y - 78*y for t. -5 Solve -2*a + 4*r - 2*r + 8 = 0, r - 2 = -2*a for a. 2 Solve 0 = s + 2*s - 4*z - 24, 5*s + 5*z = 5 for s. 4 Solve 0 = -s - 3*j + 8, 13*s - 8*s = j + 8 for s. 2 Solve -5*y = k - 8, k = 3*k + 4*y - 10 for k. 3 Solve 3 = -4*p - 1, -p - 3 = a for a. -2 Solve -7*k - 12 = -2*k - n, 5*n = 10 for k. -2 Solve 12*f - 15*f + 34 = 5*o, 40 = 5*f for o. 2 Solve -3*j - 3*w + 3 = 0, -2*j = -2*w + 3*w - 5 for j. 4 Solve 0 = 3*h - 2*h + 4*j - 3, 2*h - 6 = -4*j for h. 3 Solve 3*s + 52 = -22*d - 70, 0 = -5*d - 25 for s. -4 Solve -2*y + 25 = 3*y + 5*w, -11*y = -4*w - 10 for y. 2 Solve 6*d + 28 = t, -16*d + 12*d - 10 = -5*t for d. -5 Solve 2*u + 5*a = 7*a, -4*a = -2*u for u. 0 Solve -5*a - 3*s = -9, 12*s = 8*s - 8 for a. 3 Solve -2*l + 8 = -3*q, 0 = 5*q + l + 4*l + 30 for q. -4 Solve 0*p - 2*p = 2*h + 4, 4*h - p = -3 for h. -1 Solve -5*c + 4*o - 20 = -6*c, 5*o - 12 = 2*c for c. 4 Solve -2*o - j + 4 = 0, 3*o - o = 3*j + 12 for o. 3 Solve 2*a - 3*a + 3 = 0, m = a - 4 for m. -1 Solve -6*q - 4*n = -3*q - 5, -2*q - 4*n + 10 = 0 for q. -5 Solve f + 5*q = 14 - 2, 2*q = -4*f - 6 for f. -3 Solve -3*f - 10 = -2*i, -4*i - 7*f - 24 = -2*f for i. -1 Solve 8*q - 3*q - l - 1 = 0, -3 = -3*q + 3*l for q. 0 Solve -11*y - 11 = 5*z - 9*y, -z - 4*y = 13 for z. -1 Solve -r = 4*p + 11, -12*p + 4*r = -7*p - 2 for p. -2 Solve b - 1 = 2*t, -t - 12 + 4 = -2*b for b. 5 Solve -2*c = x + 9, 0 = 2*x + 3*x + 3*c + 24 for x. -3 Solve 2*j = -4*b - b, 5*j - b = -27 for j. -5 Solve 37 = -3*f - 5*a, 2*f - 21*a - 7 = -18*a for f. -4 Solve 0 = -4*k + 3*y + 11, 2*k + 3*k - 2*y = 12 for k. 2 Solve -3*u + 13 - 4 = -y, -5*y = -u + 31 for u. 1 Solve h - 3*b + 3 = 0, -2*b - 13 + 15 = -4*h for h. 0 Solve 2*m + 4 = 2*s, 21*m + s = 23*m + 5 for m. -3 Solve 84*q = -3*v + 87*q + 6, -4*q = 12 for v. -1 Solve 5*k + 4*a - 40 = 0, 2*k + 3*a = -k + 27 for k. 4 Solve 5*i - 4*b = -39, 2*i + 3*b = 7*b - 30 for i. -3 Solve 0 = -6*d + 2*d - 2*q - 10, 4*q = 4*d + 28 for d. -4 Solve 5 = -s - 2*f, -77*f = s - 79*f - 7 for s. 1 Solve 2*y + o - 10 = 5*o, 0 = -2*y - 3*o - 11 for y. -1 Solve -2*l - 6 = -4*k, l + 3 = k + 3*k for l. -3 Solve 7*c - 6*c - 3*g = -7, 4*g - 16 = 0 for c. 5 Solve -2*s + 5*j + 7 = 0, 4 = s - 2*s - 5*j for s. 1 Solve -i - 2*j = 3, 2*i - 1 = -3*j - 5 for i. 1 Solve o - 2*s = 2, 3 = -5*o + 4*s + 1 for o. -2 Solve 3*o - 2*t + 10 = 0, 18 - 12 = 2*o + 5*t for o. -2 Solve -4*t = 2*f - 22, 2*t = -3*f + 4*t - 7 for f. 1 Solve -2*b - 9*v - 12 = -7*v, 0 = -2*b + v for b. -2 Solve 0 = -4*t - 3*u + 6, u + 3*u - 7 = -5*t for t. 3 Solve 2*j - 5*m - 29 = 0, 3*j - 3*m = 4*j + 13 for j. 2 Solve -13*q + b = -18*q + 10, -3*q + 2*b = 7 for q. 1 Solve -4*y - 2 + 18 = 4*j, -3*y + 4 = -5*j for j. 1 Solve 5*a + 7*p - 5*p = -8, -2*p = 3*a + 4 for a. -2 Solve 5*t + l - 24 = 0, -t - 28 = -5*t - 3*l for t. 4 Solve j - 2*a - 3 = -5, 4*j + 8 = a for j. -2 Solve -5*t - 3*d + 34 + 0 = 0, 0 = -d + 3 for t. 5 Solve 3*x = -4*m + 5*x + 14, -2*m - 2 = 2*x for m. 2 Solve m = l - 7, 4*l - 4 = 5*m + 26 for l. 5 Solve 0 = 4*f - 10*c + 7*c - 18, -5*f + 13 = c for f. 3 Solve -4*f = -12 - 4, -4*i - 4*f + 12 = 0 for i. -1 Solve 2*k + 12 = 3*t, -5*t + 20 = -0*t + k for t. 4 Solve 3*b - 15 + 25 = 2*x, -10 = -2*x - 3*b for x. 5 Solve -4*w + 5*d = -13, -5*w = 2*d - 3*d + 10 for w. -3 Solve 4*c = u, 2*c + 3*c = -4*u for u. 0 Solve -3*r = -c, 7*r = 5*r + 5*c - 13 for r. 1 Solve 5 = -i - 2*g, 5*i - 4*g - 5 = 12 for i. 1 Solve 2*u = -l + 9, 2 = -l + 1 for u. 5 Solve 3*m + 3*z + 9 = 0, 4*z - 1 = -2*m - 15 for m. 1 Solve -4*a + p - 23 = 0, 10*a = 14*a + 2*p + 26 for a. -6 Solve 0 = -a - 2*w + 2 - 3, 0 = -4*a + 3*w + 29 for a. 5 Solve o = -s + 7, -4*s - s = -20 for o. 3 Solve -2*q = -2*g - 8, 4*g = q - 13 - 6 for q. -1 Solve -4*g - 4 - 4 = -2*q, 0 = 2*q - 3*g - 7 for q. 2 Solve 0 = 2*f - 5*a + 23, 2*f + f + a - 8 = 0 for f. 1 Solve f + 13 = -c - 2*f, -4*f + 4 = -4*c for c. -4 Solve 45 = -4*c + t + 23, -6*c = -t + 32 for c. -5 Solve 61*c - 56*c = 4*l + 11, 2*l = -c - 9 for l. -4 Solve 0 = -4*p - 3 - 9, 3*p = 4*c + 7 for c. -4 Solve c - 8 = 4*l + 7, -2*c + 9 = -l for l. -3 Solve -2 = 2*q, -5*t = -0*t + 3*q - 17 for t. 4 Solve 0 = 5*x - 2*f + 11, 3*x + 4*f + 88 - 71 = 0 for x. -3 Solve -s + 4*s + 2*d = -3, -21 = 3*s - 4*d for s. -3 Solve 3*l + 4*c - 1 = 0, -179*l + 181*l - 6 = -4*c for l. -5 Solve -o = -u - 1, -3*o + u = 4*u - 21 for o. 4 Solve 3*n - 10 = 4*y, -n - n - 4*y = 0 for n. 2 Solve -4*i + 11 = 5*n, 0 = 3*i + 4*n - 5 - 3 for i. 4 Solve g + i - 2*i + 1 = 0, -5*g + i = 1 for g. 0 Solve -3*s - 30*z = -26*z - 3, -35 = -4*s + 5*z for s. 5 Solve -2*d = 2*p + 6, -2*d + 11*p - 12 = 16*p for d. -1 Solve 3*l = l - 5*n - 18, l + n = -3 for l. 1 Solve -4*f - 5*g = 20, -5*g = -5*f + 2*f + 20 for f. 0 Solve 0 = 3*d + 4*a + 12, 5 = -4*a - 7 for d. 0 Solve 4*n + 16 = y, -3*y + 4*y - 3*n - 11 = 0 for y. -4 Solve 3*w + 4*n - 5 = 0, -13 + 7 = -w + 3*n for w. 3 Solve 0 = -x - 21*u + 19*u + 7, -2*x + 10 = 2*u for x. 3 Solve 3*f + w = 11, 0 = f + 4*w + w + 15 for f. 5 Solve -2*k = g + 4, g + 2*g - 24 = 3*k for g. 4 Solve 0 = 4*h, 5*h + 5 = -f + 4 for f. -1 Solve 5*i + 4 = -4*p, -12 = -4*i + 3*i - 4*p for i. -4 Solve -5*z - 25 = 4*c, 10 = -2*z - 0*z + 2*c for z. -5 Solve -13 = 2*u + 3*y + 12, 0 = -4*u - 4*y - 40 for u. -5 Solve -3*n + 3*a = 6, -27*n - 4*a - 22 = -25*n for n. -5 Solve 5*y + 3*j - 15 = 0, -3*y + 9 = -4*j + 6*j for y. 3 Solve h - 3*o + 8*o + 10 = 0, 4*o = -4*h - 24 for h. -5 Solve -6*t = -7*t - 4, 0 = 2*x + 5*t + 28 for x. -4 Solve -14 = -m + 2*w, 2*w - 1 + 3 = -2*m for m. 4 Solve 0 = 2*u - 7*l + 5*l, -4*u = -5*l - 2 for u. -2 Solve 5*c + 25 = -r, 0 = -5*c + 4 - 24 for r. -5 Solve -2*y + 6 = -5*z - 20, 5*y - 11 = -z for z. -4 Solve 4*j - 2*h - 22 = 0, 5*j = 10*h - 11*h + 17 for j. 4 Solve 6 = -2*f, 5*u = f - 6*f - 35 for u. -4 Solve 32*j - 2*c = 36*j - 6, 5*c = 4*j + 15 for j. 0 Solve -4*r = -2*j + 18, j + 3*r + 28 = 12 for j. -1 Solve -5*m + 40 = 4*q, 0*m + 5*m = 20 for q. 5 Solve 0 = -5*m + 1 + 19, -19 = 3*n - 4*m for n. -1 Solve -3*p = 5*l - 3, 13 - 33 = 5*p for l. 3 Solve -3*k = -2*o - 18, 0 = -3*o + 2*k + 6 - 23 for o. -3 Solve -5*b + 8 = -4*t, -4*b + 6*b + 7 = 5*t for t. 3 Solve -3*h + 35 = -102*c + 107*c, -3*c = -12 for h. 5 Solve 0 = -4*z - p + 2, 0 = -5*z - 10*p + 9*p + 2 for z. 0 Solve 0 = 2*w - 4*p - 2, 0 = 2*w - 5*w + 2*p + 11 for w. 5 Solve -5*h - 34 = 3*d, -3*d = -4*h -
{ "pile_set_name": "DM Mathematics" }
4*g**2 + 3*g**2 - 5*g**2. Give v(l(t)). 9*t**2 Let s(n) be the second derivative of -n**3/6 - 83*n**2/2 - 3*n - 67. Let x(z) = 5*z**2. Give x(s(r)). 5*r**2 + 830*r + 34445 Let o(z) = z. Let k(n) = -52060*n - 3. What is k(o(v))? -52060*v - 3 Let w(s) = -1. Let x(j) = -21*j**2 - 4. Let a(r) = 4*w(r) - x(r). Let f(l) = -1 + 4*l + 1 - 3*l. What is a(f(q))? 21*q**2 Let j(r) = 38*r. Let s(q) be the first derivative of -23 - 1/2*q**2 + 0*q. Give s(j(f)). -38*f Let u(g) = 32*g - 3 + 3. Let k(x) be the third derivative of -x**5/20 - 6*x**2 - 2*x + 6. What is k(u(i))? -3072*i**2 Let i(t) be the second derivative of 0 - 1/6*t**3 - 7*t + 0*t**2. Let u(a) be the third derivative of a**5/30 - 3*a**2. Determine u(i(f)). 2*f**2 Let l(z) = z + 1. Let k(d) = -65*d - 4. Let w(b) = -k(b) - 4*l(b). Let x(p) = 3*p. Give x(w(g)). 183*g Let l(f) = 16*f**2. Let n(v) = -v**2 + 14*v - 18. Let w be n(11). Let r(z) = w*z + 9*z - 36*z + 7*z. Calculate l(r(a)). 400*a**2 Let d(z) = -2*z. Let n(u) = -4*u**2 - 7201. What is d(n(y))? 8*y**2 + 14402 Let q(g) be the first derivative of -61*g**2/2 + 1. Let a(n) be the second derivative of -n**4/6 - 36*n - 32. Determine a(q(s)). -7442*s**2 Suppose -5*b + 7532 = 1077. Let o(r) = -b*r - 2*r**2 + 1291*r. Let m(h) = -28*h**2 - 2*h. Determine m(o(v)). -112*v**4 + 4*v**2 Let w(x) be the first derivative of 0*x - 4/3*x**3 - 3 + 0*x**2. Let v(l) = -4*l. Let o(n) = 3*n. Let c(m) = 7*o(m) + 5*v(m). What is w(c(i))? -4*i**2 Let t(s) = 174*s. Let p(f) = -4291*f. What is t(p(d))? -746634*d Let o(g) be the second derivative of -g**7/1260 - 11*g**4/6 + 6*g. Let c(l) be the third derivative of o(l). Let t(y) = -8*y**2. Determine t(c(h)). -32*h**4 Let w(f) = 27685*f. Let p(z) = 2*z + 13. Calculate w(p(l)). 55370*l + 359905 Let y(l) = 84*l + 7. Let f(p) = 2*p**2 + 8. Let t(x) = -2. Let k(w) = -f(w) - 4*t(w). Determine k(y(r)). -14112*r**2 - 2352*r - 98 Let i(d) = 42*d + 80 - 80 - 38*d. Let k(g) = 46*g**2. What is i(k(l))? 184*l**2 Let c(q) = -q**2. Suppose -7*x + 55 = 41. Let v(b) be the first derivative of 0*b**2 + 0*b + 4/3*b**3 + x. Calculate v(c(y)). 4*y**4 Let i(w) be the first derivative of 1/3*w**3 - 20 + 0*w**2 + 0*w. Let u(z) = 2*z - 4*z + z. Calculate i(u(y)). y**2 Let i(o) = -2*o. Suppose 3*u - 69 = -12. Let c(l) = -6*l**2 + u*l**2 - 5*l**2. What is i(c(z))? -16*z**2 Let k(l) = -35*l. Let x(a) = 1310*a**2 + 2. Determine k(x(r)). -45850*r**2 - 70 Let n(y) = -2*y. Suppose -6 = -f - 2*f. Let z be 6/4 - (-11)/f. Let t(j) = -2*j - z*j - 2*j. What is t(n(d))? 22*d Let k(z) = 31 - 91 + 33 + 18 + 11*z. Let o(f) = -f**2. Give k(o(p)). -11*p**2 - 9 Let x be 144/4 + -4 + -2. Let n(g) = 2*g - 30 + x. Let t(f) = -16*f + 3. Let z(r) = 31*r - 5. Let s(w) = 5*t(w) + 3*z(w). Calculate n(s(y)). 26*y Let a(h) = 2*h**2. Let t(n) be the second derivative of 0*n**2 - 14*n + 0*n**3 + 0 - 19/6*n**4. Calculate a(t(x)). 2888*x**4 Let u(d) = 2*d**2. Let o(w) = -w**3 - 6*w**2 + 9*w + 8. Let b be o(-7). Let q = b - -9. Let h(r) = -5*r**2 + r**2 + q*r**2. Calculate h(u(i)). -4*i**4 Let w(m) = -2*m - 7. Let n be w(8). Let q = n - -25. Let y(j) = -4*j**q + 8*j**2 + 2*j**2 + 3*j**2. Let c(t) = t. Give y(c(i)). 9*i**2 Let t(c) = 16*c. Let f(m) = -1238*m**2. Determine t(f(p)). -19808*p**2 Let s(h) = -7*h. Let n(t) = -19*t**2 - t - 173. Determine n(s(a)). -931*a**2 + 7*a - 173 Let y(s) = -4*s. Let u(o) be the second derivative of -2/3*o**3 + 13*o + 0*o**2 + 0. What is u(y(x))? 16*x Let v(w) = 8*w**2 - 2*w**2 + w**2. Let h be (-6 + 100/15)/((-1)/(-3)). Let y(t) = -7*t**2 + 10*t**2 - 5*t**h. Calculate y(v(z)). -98*z**4 Let h(w) = 73272*w - 73272*w + 2*w**2. Let v(o) = -118*o**2 + 2*o. Give v(h(u)). -472*u**4 + 4*u**2 Let t(p) = -31*p. Let k(s) be the third derivative of -s**6/360 - 5*s**4/24 - 52*s**2. Let u(o) be the second derivative of k(o). Give t(u(x)). 62*x Let k(r) be the third derivative of 0*r**4 + 0 + 0*r**3 + 1/10*r**5 + 0*r - 49*r**2. Let b(x) = 2*x. Give k(b(t)). 24*t**2 Let s(g) = g. Let t(v) = -24243*v. Calculate s(t(q)). -24243*q Let k(c) be the third derivative of -c**8/1344 + 2*c**5/5 - 17*c**2. Let q(b) be the third derivative of k(b). Let h(z) = -z. Determine q(h(f)). -15*f**2 Let y(f) = 2*f**2 - 13*f + 26. Let q(b) = b**2 - 6*b + 12. Let x(k) = 13*q(k) - 6*y(k). Let a(g) = g + 199. Determine a(x(z)). z**2 + 199 Let a(x) = -3*x + 349*x**2 + 8*x + 2*x - 7*x. Let p(j) = -2*j**2. What is p(a(i))? -243602*i**4 Let n(g) = -1412*g**2 + 2. Let t(w) = -71*w. Calculate n(t(a)). -7117892*a**2 + 2 Let p(m) be the second derivative of 10*m + 0*m**2 - 1/12*m**4 + 0*m**3 + 0. Let z(u) = -39*u. What is z(p(d))? 39*d**2 Let g = -20 - -27. Let t(j) = -32*j + 12*j + g*j + 12*j. Let k(u) = u + u + u + 5*u. Give t(k(v)). -8*v Let g(u) = -u. Let v(h) be the first derivative of h**2 + 18*h - 125. What is v(g(c))? -2*c + 18 Let r(v) = -3841*v + 14. Let j(q) = -8*q. Give j(r(a)). 30728*a - 112 Let b(a) = -a**2. Let n(d) = 13*d**2 + d. Let v be n(1). Let u(y) = -43*y**2 - y**2 + v*y**2. What is u(b(z))? -30*z**4 Let t(z) = -2691*z**2. Let o(a) = -2*a + 683. Give o(t(i)). 5382*i**2 + 683 Let w(u) be the second derivative of 5*u**3/6 + 3*u**2/2 - u + 80. Let r(p) = -p + 3*p**2 + p - p**2. What is r(w(l))? 50*l**2 + 60*l + 18 Let m(h) = -55*h - 18. Let p(i) = 3082*i + 1005. Let q(j) = 335*m(j) + 6*p(j). Let y(x) = -4*x**2. What is y(q(l))? -17956*l**2 Let y(w) = -2*w**2. Let v(n) = 48561 - 48561 - 35*n - 2*n**2. Give y(v(o)). -8*o**4 - 280*o**3 - 2450*o**2 Let u(f) = 42*f**2. Let t(z) = -5*z**2 + 13*z**2 - 4*z**2. What is u(t(y))? 672*y**4 Let u(n) = 4152946*n. Let v(f) = f. Give u(v(i)). 4152946*i Let u = 62 + -60. Let f(g) = -18*g + 18*g + 11*g**u - 8*g**2. Let c(p) be the second derivative of -p**3/3 - 2*p. What is c(f(n))? -6*n**2 Let r(d) = -6*d**2 - 4*d. Let n be -5 - (-14)/2 - -10*1. Let i(q) = 4*q + 9*q - n*q. What is i(r(x))? -6*x**2 - 4*x Suppose 13 + 22 = -5*x. Let z(v) = v + 4. Let m(c) = 2*c + 7. Let d(g) = x*z(g) + 4*m(g). Let r(u) = -12*u. Calculate r(d(h)). -12*h Let n(h) = -4*h. Let a(g) = -26152*g. Give n(a(v)). 104608*v Let b(o) = 63*o**2. Let k(m) = -5*m**2 - 14*m - 7. Let c(p) = -3*p**2 - 8*p - 4. Let s(d) = 7*c(d) - 4*k(d). Give s(b(a)). -3969*a**4 Let p(b) = -3*b - 2*b + 2*b. Let o be 2499/84 - (-2)/8. Let a(s) = 12 + 18 - o + 5*s. Give p(a(l)). -15*l Let u(d) = 9*d**2 + 2*d. Let p(s) = 54*s**2 - 1. Give u(p(z)). 26244*z**4 - 864*z**2 + 7 Let u(v) = v. Let g(r) be the first derivative of r**2/2 - 4*r + 8. Let q be g(8). Let k(m) = -4*m + 0*m + 10*m + q*m. Calculate k(u(n)). 10*n Let h(z) be the third derivative of -z**6/90 + 7*z**3/6 - 11*z**2. Let j(m) be the first derivative of h(m). Let a(y) = -y. Determine j(a(p)). -4*p**2 Let y(t) = -204*t. Let v(q) = q + 2. Let m(k) = -12*k - 18. Let d(x) = m(x) + 9*v(x). What is d(y(p))? 612*p Let n(g) = 32*g + 20*g + 5*g - 27*g + 16*g. Let a(j) = 3*j**2. Calculate n(a(v)). 138*v**2 Let j(g) = -28*g + 39. Let f(d) = 8*d. What is f(j(n))? -224*n + 312 Let d(b) = -520*b. Let j(s) = -396*s**2. Calculate j(d(n)). -107078400*n**2 Let m(r) be the second derivative of r**3/3 - r. Let k(l) be the second derivative of l**4/6 + 3*l + 13. Calculate m(k(x)). 4*x**2 Let s(k) = 19365*k. Let n(c) = -3*c**2. Calculate n(s(i)). -1125009675*i**2 Let u(v) = -2*v. Let n(o) = -91817*o**2. Calculate n(u(c)). -367268*c**2 Let l(i) = 2*i - 160. Let z(b) = 5*b**2 + 9*b + 63. Let d(c) = 2*c**2 + 4*c + 28. Let p(j) = 9*d(j) - 4*z(j). Give l(p(k)). -4*k**2 - 160 Let b(p) = 2*p + 16. Let q(l) = -l - 304. Give q(b(n)). -2*n - 320 Let u(q) = 4*q**2 + 6*q + 3. Let o(f) = 3*f**2 + 4*f + 2. Let l(p) = 3*o(p) - 2*u(p). Let g(k) = -k - 13. Calculate g(l(s)). -s**2 - 13 Let s(d) = 240*d. Let a(u) = 37*u. Suppose -2*c - 2*y - 2*y - 44 = 0, 0 = 2*y - 10. Let n(v) = c*a(v) + 5*s(v). Let j(l) = 2*l. Calculate j(n(m)). 32*m Let y(v) = v + 5. Let g(f) = -42*f - 175. Let l(m) = 3*g(m) + 105*y(m). Let x(d) = -40*d. What is x(l(s))? 840*s Let x be (-4)/10 + (-154)/(-10). Let q(k) = 79 + 3*k**2 - x*k**2 - 79. Let s(a) = 2*a. Calculate s(q(c)). -24*c**2 Let b(h) = -76*h**2. Let y(t) = 306*t. Determine y(b(x)). -23256*x**2 Let t(z) = -414*z**2 + 5. Let i(c) = -6*c**2 + 2. Determine t(i(u)). -14904*u**4 + 9936*u**2 - 1651 Let s(y) = -13383 + 4*y + 13383. Let u(q) =
{ "pile_set_name": "DM Mathematics" }
j + 2. Let u(n) = -n**3 + 5*n**2 - 4*n + 5. Let r(m) = 10*o(m) - 4*u(m). Factor r(b). -2*b*(b - 1)*(3*b - 2) Find y such that y**5 - 9*y**2 + 9*y**4 - 3*y**3 - y**5 + 6*y**3 + 3*y**5 - 6*y = 0. -2, -1, 0, 1 Let u = 5 + -2. Suppose 0 = u*j + j - 40. Factor 18*g**2 - 4*g**3 + j*g**4 - 11*g**3 - 4*g - 9*g**3. 2*g*(g - 1)**2*(5*g - 2) Let q be (-9)/(-6)*2 - 2. Let t = 3 - q. Factor -4*p**4 - p**2 + 3*p**2 + t*p**4. -2*p**2*(p - 1)*(p + 1) Suppose 0 = -a + k + 8, -3*a + 16 = 2*a + k. Suppose -5*n - 2 = -4*m + 4, -a*n + 5*m = 12. Factor 0*f - 2 - f**2 - 2*f**n + f**3 + 5*f - f**2. (f - 2)*(f - 1)**2 Let 5*r**5 - 126*r**3 - 33*r**4 - 188*r**2 + 30*r**2 - 4*r**2 - 8*r**5 + 81*r + 243 = 0. Calculate r. -3, 1 Determine j so that 4/3*j - 2/9*j**2 - 2 = 0. 3 Find z such that -2 + 5 + 2 + 30*z**3 - 30*z - 5*z**2 = 0. -1, 1/6, 1 Let k be (-3)/(-2) - (-1)/2. Find r such that 3 + 2*r**3 - 5*r**k + r**2 - 3 + 2*r = 0. 0, 1 Factor -44/5*p**3 + 156/5*p**2 + 56/5 - 4/5*p**4 - 164/5*p. -4*(p - 1)**3*(p + 14)/5 Let v(m) = -m**4 - m**3 + m**2 + m - 1. Let f(a) = -6*a**4 - 3*a**3 + 5*a**2 + 3*a - 4. Let w(b) = -f(b) + 5*v(b). Factor w(s). (s - 1)**3*(s + 1) Suppose -26*u + 28*u - 2*u**2 + 10*u**4 - 14*u**3 - 2*u**5 + 14*u - 8 = 0. What is u? -1, 1, 2 Let m(r) = -r**3 + r**2 + 1. Let i(w) be the third derivative of -w**6/60 - w**5/10 + w**4/4 + 11*w**3/3 - 2*w**2. Let y(p) = -i(p) + 4*m(p). Factor y(n). -2*(n - 3)**2*(n + 1) Find f such that 0*f**2 - 5/4*f**4 + 0 + 0*f + 5/4*f**3 = 0. 0, 1 Let g be ((-12)/14)/(6/(-42)). Suppose -i + g = 2. Solve -2 - 36*x**i + 44*x**3 + 10*x**4 + 14*x + 6*x**5 + 0*x**5 - 36*x**2 = 0 for x. 1/3, 1 Let t(s) be the second derivative of s**6/1260 + s**5/140 + s**4/42 + s**3/6 + 3*s. Let o(h) be the second derivative of t(h). Factor o(v). 2*(v + 1)*(v + 2)/7 Let h = -136 + 240. Factor -h + 3*g**2 + 104. 3*g**2 Let h(o) be the second derivative of -o**8/3360 + o**7/840 - o**5/120 + o**4/48 + o**3/3 + 5*o. Let k(z) be the second derivative of h(z). Factor k(f). -(f - 1)**3*(f + 1)/2 Let g be (-2)/6 - 889/15. Let x = g + 60. Factor -2/5*p**2 + 0*p + x*p**3 + 0. 2*p**2*(p - 1)/5 Let b(m) be the second derivative of m**6/30 - m**5/80 - m**4/4 + 11*m**3/24 - m**2/4 + 5*m. Factor b(s). (s - 1)**2*(s + 2)*(4*s - 1)/4 Let x(s) be the third derivative of -s**6/280 - s**5/70 + 15*s**2. Suppose x(m) = 0. Calculate m. -2, 0 Let z = 19 + -20. Let r = -1 - z. Factor r - 2/3*m**2 + 0*m + 1/3*m**3. m**2*(m - 2)/3 Let j(p) be the third derivative of 1/48*p**4 - 4*p**2 + 1/120*p**5 + 0 + 0*p + 0*p**3. Factor j(d). d*(d + 1)/2 Let f(v) be the second derivative of -1/63*v**7 + 0*v**3 + 0 + 1/18*v**4 + 1/12*v**5 + 0*v**2 + 1/90*v**6 + v. Suppose f(n) = 0. What is n? -1, -1/2, 0, 2 Let m(i) be the first derivative of 0*i - 4/5*i**5 + 0*i**4 + 4 - 1/3*i**6 + 4/3*i**3 + i**2. Factor m(p). -2*p*(p - 1)*(p + 1)**3 Let u(m) = -m**2 - 3*m + 2. Let s be u(-2). Suppose 3*g = s + 5. Determine q, given that 4/7*q + 0 - 2/7*q**g + 2/7*q**2 = 0. -1, 0, 2 Let x be 0 + 1 + -5 - 714/(-168). Factor -1/4*m**3 - 3/4 + x*m + 3/4*m**2. -(m - 3)*(m - 1)*(m + 1)/4 Find j, given that -6 + 30*j**4 + 2*j**5 - 75*j**2 - 51*j**4 - 6 - 48*j - 57*j**3 - 5*j**5 = 0. -2, -1 Let g(i) be the third derivative of i**5/360 - i**4/72 - i**3/12 + 5*i**2. What is p in g(p) = 0? -1, 3 Let w be (384/(-162) + 2)*(-12)/10. Factor w*c**3 - 2/9*c**5 + 0 + 0*c**4 - 2/9*c + 0*c**2. -2*c*(c - 1)**2*(c + 1)**2/9 Let u be 0/2*(-4)/(-12). Let s be u/(-4 - 0/(-2)). Suppose 0*q**3 + q**5 + 1/2*q**2 - 3/2*q**4 + 0*q + s = 0. Calculate q. -1/2, 0, 1 Let o be (0 - (-1)/10)*(19 - 3). Let h = -2 - -5. Let -2/5*d**h + o*d**2 + 4/5 - 2*d = 0. Calculate d. 1, 2 Let j(n) be the third derivative of n**6/120 + n**5/15 + n**4/8 + 13*n**2. Determine p so that j(p) = 0. -3, -1, 0 Let x(v) be the third derivative of v**7/630 + v**6/60 + 11*v**5/180 + v**4/12 + 53*v**2. What is u in x(u) = 0? -3, -2, -1, 0 Let j(k) = k**3 + 8*k**2 - 9*k + 2. Let w be j(-9). Suppose w*z - 6 = -2. Let -z*q + 2*q + q - 2*q**2 - 3*q**3 = 0. What is q? -1, 0, 1/3 Let x be (-5)/(-15)*9 + 0. Let l(m) be the third derivative of 0*m + 1/6*m**x - 1/12*m**4 - m**2 + 0 + 1/60*m**5. Let l(s) = 0. What is s? 1 Let d(r) be the third derivative of -r**6/900 + r**4/60 + 2*r**3/45 - 32*r**2. Factor d(i). -2*(i - 2)*(i + 1)**2/15 Find l such that 0 + 2/7*l**4 + 2/7*l + 6/7*l**2 + 6/7*l**3 = 0. -1, 0 Suppose -2*q = -q - 5*q. Factor 1/5*n**5 - 1/5*n**3 + 1/5*n**2 + q + 0*n - 1/5*n**4. n**2*(n - 1)**2*(n + 1)/5 Let r = 23 + -20. Solve -l - 15*l**r + 2*l + 6*l**4 - 4*l + 12*l**2 = 0 for l. 0, 1/2, 1 Let u(o) be the first derivative of 14*o**3/3 - 12*o**2 - 8*o - 9. Factor u(m). 2*(m - 2)*(7*m + 2) Find g such that 2 - 19*g - 3*g**3 - 30*g**2 - 2 - 56*g = 0. -5, 0 Let t be 5 - (-3 - (-13)/2). Factor -t*h**5 + 0 + 6*h**2 + 6*h**4 - 3/2*h - 9*h**3. -3*h*(h - 1)**4/2 Let w(p) be the first derivative of -2*p**7/105 + p**6/40 + p**5/60 + p**2/2 - 2. Let h(l) be the second derivative of w(l). Factor h(a). -a**2*(a - 1)*(4*a + 1) Let q(x) be the first derivative of x**4 - 4*x**3/3 - 8*x**2 + 16*x + 37. What is k in q(k) = 0? -2, 1, 2 Let j(w) = 2*w**2 + 3*w + 3. Let b(p) = 9*p**2 + 13*p + 13. Let n(g) = -g**2 - 13*g - 4. Let m be n(-10). Let c(o) = m*j(o) - 6*b(o). Let c(h) = 0. Calculate h. 0 Let a be 2 - (-2 - -2)/3. Let n(w) be the second derivative of 1/20*w**5 - 1/6*w**3 + 1/12*w**4 + 0*w**a + 0 - 2*w - 1/30*w**6. Solve n(i) = 0. -1, 0, 1 Find n such that -20*n**5 - 2*n**3 - 13*n**5 + 6*n + 34*n**5 - 5*n = 0. -1, 0, 1 Solve 1/5*a + 0 + 0*a**2 - 1/5*a**3 = 0 for a. -1, 0, 1 Suppose -2*h + 4*h - 7 = -3*t, 2 = -2*h. Let n(p) be the first derivative of -4*p - t*p**2 + 2 - 2/3*p**3. Suppose n(u) = 0. What is u? -2, -1 Factor -2/9*p**3 - 2/3*p + 2/9 + 2/3*p**2. -2*(p - 1)**3/9 Let m(i) = -i**2 - 3*i. Let s be m(-5). Let l be (-2)/(5/(s/4)). Suppose -2*p**2 + l - 2*p**3 - 1 = 0. What is p? -1, 0 Let o(r) be the second derivative of 15*r**5/14 - 55*r**4/14 - 8*r**3 - 36*r**2/7 + 39*r. Factor o(b). 6*(b - 3)*(5*b + 2)**2/7 Let o be (-4)/3*9/(-6). Suppose 10 = 4*v - 6. Factor -w**3 + v*w**4 + 2*w**2 - 6*w**o - w + 2*w**3. w*(w - 1)*(w + 1)*(4*w + 1) Suppose 7*p**3 - 6*p**5 + 8*p**5 + 3*p**5 + 11*p**4 + p**2 = 0. What is p? -1, -1/5, 0 Let 26*z + 80 - 66*z - 6*z**3 - 35*z**2 + z**3 = 0. Calculate z. -4, 1 Let h(m) be the first derivative of -m**5/5 + 2*m**4 - 22*m**3/3 + 12*m**2 - 9*m - 5. Determine z, given that h(z) = 0. 1, 3 Let o be 2 - ((1 - 0) + -2). Suppose 4 = o*k - 2. Factor k*f**3 + f**3 - 2*f**5 - 2*f**4 + f**3. -2*f**3*(f - 1)*(f + 2) Let z be -2 + 12/7 + (-77)/(-98). Factor -z*y**3 + 0*y - y**2 + 3/2*y**5 + 2*y**4 + 0. y**2*(y + 1)**2*(3*y - 2)/2 Suppose -2*w - 2*q = -3 - 3, -5*q + 11 = 4*w. Suppose 2/7*l + 4/7*l**2 + 2/7*l**5 - 2/7 - 2/7*l**w - 4/7*l**3 = 0. What is l? -1, 1 Let c(q) be the first derivative of 8*q**3/3 - 5*q**2/2 - 3*q + 13. Factor c(g). (g - 1)*(8*g + 3) Let b(p) = -p**3 - p**2 - p + 2. Let i be b(0). Let t be 0/13 + 4/6. Find m such that 0 + 2/3*m - t*m**4 + 2*m**3 - 2*m**i = 0. 0, 1 Let j(t) be the first derivative of t**6/12 + t**5/15 - t**4/4 - 2*t**3/9 + t**2/4 + t/3 - 4. Suppose j(v) = 0. Calculate v. -1, -2/3, 1 Let b(u) = u**2 + 8*u + 10. Let a be b(-13). Factor 12*r - 9*r**3 + 14*r**4 - 31*r**3 - 5*r**4 + a*r**4 - 24*r**2 - 36*r**5 + 4. -4*(r - 1)**3*(3*r + 1)**2 Let a = -7 - -9. Suppose 2*v**a + 2*v**4 - 2*v**4 + 0 - v**4 - 1 = 0. Calculate v. -1, 1 Let c(s) = 14*s**3 - 22*s**2 + 6*s + 2. Let k(j) = 43*j**3 - 67*j**2 + 17*j + 7. Let i(h) = -7*c(h) + 2*k(h). Find o such that i(o) = 0. 0, 2/3, 1 Let c be (-52)/(-42) - (-4)/(-7). Suppose c*a + 2/3*a**2 + 0 = 0. What is a? -1, 0 Let d(w) = w + 2. Let c be d(-2). Factor 2/3*i**2 + c + 2/3*i. 2*i*(i + 1)/3 Let 0*w + 6/5*w**2 + 0 - 6/5*w**3 = 0. What is w? 0, 1 Factor -5*i**4 - 3*i**3 - 2*i**3 + i**2 + 9*i**2. -5*i**2*(i - 1)*(i + 2) Let p = -2603/3 + 868. Let -p + 1/3*m**2 + 0*m = 0. What is m? -1, 1 Determine v so that 0 + 0*v + 4/7*v**2 + 2/7*v**3 = 0. -2, 0 Let v(z) be the second derivative of z**6/6 + 3*z**5/4 - 5*z**4/2 - 70*z**3/3 - 60*z**2 + 17*z. Determine n, given that v(n) = 0. -2, 3 Factor -1/6*h**2 - 3/2 + h. -(h - 3)**2/6 Let s = 10 - 6. Factor z**s - z**5 + 2*z**4 - 3*z**4. -z**
{ "pile_set_name": "DM Mathematics" }
in -3, a, v, j? a Let y be (-2 + -3)*(144/(-80))/9. What is the biggest value in -0.1088, -5, y? y Let m = -518/13 - -3023/39. Let d = -6206/165 + m. Let f = d - -8/55. Which is the second smallest value? (a) 2 (b) -1/4 (c) f c Let j = -74 + -155. Let g = j - -230. Let n = 20 + -30. Which is the biggest value? (a) 2/3 (b) g (c) n b Let x = -105.95 - -128.01. Which is the fourth biggest value? (a) -0.5 (b) 4 (c) 1/7 (d) -5 (e) x a Let t = -0.125663 + -0.874337. Suppose -5*q = -4*o - 7, o + 0 = -3*q - 6. Let u = -2.5 - -2. Which is the third smallest value? (a) -2/21 (b) u (c) t (d) o b Let v = 417 - 421. Suppose -2*x + 0*x = 4. Let z be x/(-14) + 12/(-42). Which is the third smallest value? (a) z (b) v (c) 4 c Let g be 2*-1*(-334)/4. Let q = g + -96. Let s = 495/7 - q. What is the biggest value in 2, -0.08, s? 2 Let s = -301 + 301.238. Let z = s - -0.262. Suppose 3*a + 4 = -8. What is the biggest value in z, 1, a, -8? 1 Let r(c) be the second derivative of c**4/12 - c**3/3 - 17*c**2/2 - 27*c. Let s be r(5). What is the smallest value in -2/11, s, -0.5, 5? s Let r = 32205.4 + -32204. What is the third biggest value in r, 47, -2/3? -2/3 Let y be (8/(-42))/(4/4842). Let j = -231 - y. Let p be 28/(-70) + 13/(-5). Which is the second smallest value? (a) 12 (b) j (c) p b Let a(n) = 3*n**3 + n**2 - n + 1. Let l be a(-2). Let u = 17 + l. Let b be (-34)/(-18) + 6 + -8. What is the biggest value in 3, u, b? 3 Let v = -30206 - -30201. Which is the third smallest value? (a) -4 (b) 0 (c) v (d) -2/3367 d Let f be (8/6)/(20/(-20250)*9). Which is the second biggest value? (a) -0.1 (b) -2/7 (c) f (d) -3 b Suppose -15 = 3*p + 3*j, 3*p + 66*j = 68*j + 15. What is the smallest value in 0.5, 0.1, p, -29/2? -29/2 Let j = -229 + 229.1. Let l = -145 - -145.5. Let p = -2/151 + 163/906. What is the fourth smallest value in p, j, l, 2/13? l Let q be (5/(-9))/(10*11/132). What is the second biggest value in q, -2.2, 5? q Let k = -163454.5 + 163455. Let b = 0.4 - 0.3. What is the second smallest value in 1/107, b, k? b Let k = 4935.8 + -4936. Which is the fifth smallest value? (a) -1 (b) -2/3 (c) 0.2 (d) k (e) 4/19 e Let o be (-21)/(-14) - (-428)/(-470). Let d = o - -1/94. Suppose -12 = 10*y - 4*y. Which is the third smallest value? (a) d (b) -3 (c) y a Let y(q) = -2*q**2 - 17*q - 11. Let n be y(-8). Let l be (-1)/(-11) - (-11)/(-4235)*-185. Which is the biggest value? (a) 2/3 (b) l (c) n (d) 0.2 a Let n = -35545 - -35552. What is the second smallest value in 3, n, -3, -2? -2 Let y = 1 - 2. Let h = 780.79 - 777. Let n = h + -3.29. Which is the smallest value? (a) -1/4 (b) y (c) n b Let y(n) = -6*n**3 + 42*n**2 - 36*n - 5. Let l be y(6). Let v = -1.065 - -0.065. Which is the third smallest value? (a) l (b) 15 (c) 0.2 (d) v c Let g be (2/(-85))/((-3096)/215). Let f = g - 1231/4284. What is the third smallest value in f, -2/9, -0.4? -2/9 Let p = 0.52 - 3.52. Let i = -8 - p. Let s = 3/29 + -91/319. Which is the second biggest value? (a) 0.15 (b) i (c) s c Let l = 32259 + -32315. Which is the third biggest value? (a) -1/4 (b) -2 (c) 2/7 (d) l b Let b(o) = o**2 + 5*o + 6. Let k be b(-3). Suppose 0 = 2*u + 4*l + 14, k = -3*u - u + l - 1. Let n be -2*(-3)/9 - 0. What is the biggest value in 5, 0, n, u? 5 Let n = -11639/190410 - -3/5770. What is the biggest value in -0.3, 2/15, n, -0.29, 4? 4 Let j = 95/13 + -557/78. Let n be (-5)/10 + 2/8. What is the smallest value in 2, j, n, 4/5? n Let u = 2/87 - -9/29. Let v(m) = -40*m**3 - 2*m**2 - m + 1. Let o be v(1). Let k = o - -292/7. What is the second smallest value in -1, u, k? k Let x be ((-80)/560)/((-3)/28). Which is the fifth smallest value? (a) -4 (b) 39/7 (c) 4 (d) 1 (e) x b Let l be (-20)/12 - (4/3 - (0 + 0)). Let g be (-2)/25*85/3. Let r = -8/5 - g. Which is the second biggest value? (a) -1 (b) r (c) l a Let t = 8259 - 8252. Which is the third smallest value? (a) t (b) -0.4 (c) 0.5 (d) -1/4 (e) 1/8 e Let k(x) = -x**3 - 5*x**2 - 3*x + 5. Let g be k(-4). Let t = 21.35 - 21.35. Which is the third smallest value? (a) 28/5 (b) t (c) g a Let p = -1.7 + 0.6. Let k = p - -0.8. Let f = -14220 + 14217. Which is the third biggest value? (a) -2 (b) f (c) 0.3 (d) k a Let p = 205 - 72. Let t = -668/5 + p. What is the third biggest value in 0.04, t, 0.1? t Let y be 22*12/15 + (-2)/(-5). Let i be 8/(-3) + (-6)/y. Let n = -5 + 7. What is the biggest value in i, 15, n? 15 Let x = -2283 + 2286. What is the second biggest value in 0.1, -9, -2/15, -2/9, x? 0.1 Let s be ((-15)/(-20))/(-7 + 13). Which is the third smallest value? (a) 7 (b) 1/3 (c) s (d) 0.4 (e) -1 b Let h(w) = -w**3 - 5*w**2 - 2*w + 3. Let m be h(-4). Let s = -73.28 + 72.98. Let f = -62.2 + 62. What is the fourth biggest value in f, m, 2/5, s? m Suppose 11*m - 4*x = 13*m + 32, 3*x + 26 = -2*m. Which is the smallest value? (a) -5 (b) -2 (c) 3/50 (d) m (e) 18 a Let y = 67451 + -67458. Let c = 3 - 4. What is the second biggest value in c, y, 0.18? c Let j = 2/27499 + 54992/82497. Let i be (-2)/1 + (-17)/(-3). Which is the biggest value? (a) 0.5 (b) i (c) j (d) 3 b Let j = 3804 - 3807. What is the second smallest value in -10, -4/19, 5, j? j Suppose 58*u - 81*u = 115. Which is the biggest value? (a) 1/9 (b) u (c) -215 a Let z = 5.7 - 6. Suppose -t - 5*x - 10 = 4*t, 0 = 5*t - x + 16. Let n be 2/15*-5*t/2. Which is the smallest value? (a) n (b) z (c) -3 c Let w(m) = m**3 + 8*m**2 + 70*m + 220. Let c be w(-4). What is the fourth smallest value in 0, -0.4, -0.6, -76, c? 0 Let m = 2385 + -2389. Which is the fourth smallest value? (a) 0.5 (b) -24 (c) 0.2 (d) 3 (e) m a Let w = -2741/14560 + 7/416. Which is the third biggest value? (a) 50 (b) w (c) -0.3 c Let d = -881/44 - -79/4. Let v = -47.91 + 47.71. What is the biggest value in v, d, -3/2? v Let y = -10628.4 + 10633. Which is the second smallest value? (a) y (b) -2 (c) -37 b Let f be (1 + -1)/(-2 - -3). Let p = 1743 + -1732.601. Let t = p + -0.399. Which is the smallest value? (a) t (b) f (c) -4 c Let v(z) = z**3 - 5*z**2 - 10*z - 3. Let h be v(7). Suppose 0 = h*y - 10*y. What is the biggest value in 28, 4, y? 28 Let i = -234 + 653. Let p = i - 415. Which is the third smallest value? (a) -4 (b) 2/7 (c) p (d) 2 d Let h = -142.08 + 0.08. Let q = h - -142.5. Which is the third biggest value? (a) -1/5 (b) q (c) 0.13 a Let g = -22104 - -22108. Let p = 2 - 2. Let f = p + 0.4. Which is the fourth biggest value? (a) -1 (b) g (c) f (d) 0.5 a Let w be (-3 - 2*(-20)/12)/((-9)/6). Which is the fourth smallest value? (a) 2 (b) w (c) -1/10 (d) -4 (e) -14.78 c Let n = 16112 + -16151. Which is the third biggest value? (a) 43 (b) -2 (c) n c Let w = 2508.03 + -2508. What is the fourth biggest value in 4, -1, 0.3, w, -0.5? -0.5 Let o = 5 + -4.8. Let y = 110294 - 110293.5. Which is the third smallest value? (a) -3/4 (b) y (c) 0 (d) o d Let t = -2469 - -2332. What is the fourth smallest value in -2/19, t, -3, 2/13, 0? 0 Let o(c) = c**3 - 18*c**2 - 46*c - 362. Let k be o(21). What is the biggest value in k, 185, -25/2? 185 Let k = -50277.5 + 50277. Let o be (1 + 0)*2/(-10). Let f be ((-8)/120)/(6/(-20)). Which is the smallest value? (a) o (b) f (c) k (d) 2 c Let j be -2*2/(-60)*25/550*55. What is the fifth biggest value in j, 0.26, 6, -2, 0? -2 Let j be 30/(-5) + 6 + -4. Let y = -0.18 + 0.38. Let z = y + -0.2. Which is the second biggest value? (a) z (b) 5 (c) j (d) -5 a Let l = -1335 - -1333. Let h = 14 + -13.83. Which is the third smallest value? (a) h (b) -5/6 (c) l a Let q(j) = -17*j - 95. Let p be q(-6). Let t be ((-2)/4)/(p/42). Which is the fourth smallest value? (a) 0.06 (b) -5 (c) t (d) 2/5 d Suppose -24*h - 161 = -41. What is the fourth biggest value in 2.1, 18, 4/7, h? h Let r(h) = 5*h + 9. Let b be r(-2). Let n = -1.584 + 1.284. Let z = 6 - 0. What is the second biggest value in b, 0, n, z? 0 Let d = 33594.385 - 33594. What is the smallest value in -0.6, d, 1? -0.6 Let j be 3*-4*2/(-6). Let s = 2.10804 - 0.10804. Which is the third smallest value? (a) 0 (b) 0.2 (c) j (d) s d Let n = -4107116/38265 + 2/12755. Let f = n - -107. What is the smallest value in -0.5, 3/7, f, 0.2? -0.5 Let w = 37834 + -
{ "pile_set_name": "DM Mathematics" }
llect the terms in -90*v**3 + 467*v**3 - 6*v - 20*v**3 + v**2 + 309*v**3 + 0*v**2. 666*v**3 + v**2 - 6*v Collect the terms in 0*k + 0*k - k - 27*k**3 - 2*k**2 - 4*k. -27*k**3 - 2*k**2 - 5*k Collect the terms in -444*u + 0 + 793*u + 0 + 0. 349*u Collect the terms in 95 - 316 + 117 - 1072*h**3 + 104. -1072*h**3 Collect the terms in -7528*o + 4 - 4 - 9945*o. -17473*o Collect the terms in 1918*w**3 - 2498*w**3 + 572*w**3. -8*w**3 Collect the terms in 142*f - 159*f - 671 - 25*f**2 - 666 - 228*f + 1338. -25*f**2 - 245*f + 1 Collect the terms in 21 - 15 - 2 - 1333*x**3 - 4. -1333*x**3 Collect the terms in -2232 - 3*o**3 - 4*o**3 - 4760 - o**3. -8*o**3 - 6992 Collect the terms in -4*d**2 + 5*d**2 + 554 - 499 - 180*d**3. -180*d**3 + d**2 + 55 Collect the terms in 538532*v + 4 - 168*v**3 - 538532*v. -168*v**3 + 4 Collect the terms in 175 - 358*j**2 - 864*j**2 + 133*j**2 - 172. -1089*j**2 + 3 Collect the terms in 73317503*y**2 + 49*y - 73317492*y**2 - 4 - 49*y. 11*y**2 - 4 Collect the terms in 585*f - 255529*f**2 - 585*f. -255529*f**2 Collect the terms in 633*h + 729*h + 15 - 15 - 2086*h + 731*h. 7*h Collect the terms in -187 + 3*v - 4*v + 111 + 50. -v - 26 Collect the terms in 456*v**2 - 156*v**2 - 4*v + 5*v - 145*v**2 - v - 151*v**2. 4*v**2 Collect the terms in 31*j + 46*j + 20*j - 8169 + 8167 - 127*j + 20*j + 48*j. 38*j - 2 Collect the terms in 3468*d**2 + 3480*d**2 - 10438*d**2 - 2*d**3 + 3497*d**2. -2*d**3 + 7*d**2 Collect the terms in 4*x - 7*x**3 + 5*x**3 + 0*x**3 - 3*x - 24*x**2 + 470*x**2 + 255*x**2. -2*x**3 + 701*x**2 + x Collect the terms in -10440*o**2 - 39 - 36 + 10441*o**2 + 74. o**2 - 1 Collect the terms in 9906*f - 9906*f + 636*f**2. 636*f**2 Collect the terms in 195*v + 2*v**3 - 140*v - 3*v**3 - 55*v. -v**3 Collect the terms in 142 + 11932*f**2 - 144 - 11936*f**2. -4*f**2 - 2 Collect the terms in 11*u - 50*u**3 - 16*u**3 - 3*u - 8*u. -66*u**3 Collect the terms in 7388769*s + 5 - 7388514*s - 5. 255*s Collect the terms in 919*b**2 + 3*b + 340511 - 340511. 919*b**2 + 3*b Collect the terms in -351*f**3 - 35*f + 997*f**3 + 170*f**3 - 24*f. 816*f**3 - 59*f Collect the terms in 4 + 6 + 1085*a - 3 - 2. 1085*a + 5 Collect the terms in -13192*d - 12397*d - 11519*d + 2664*d + 7127*d. -27317*d Collect the terms in -27 - 243522*t**3 + 55 - 28. -243522*t**3 Collect the terms in 29*o**3 + 49*o**3 - 135 - 173 + 309. 78*o**3 + 1 Collect the terms in 2286214*k**3 - 9 - 5*k**2 - 2286212*k**3 + 5*k**2 - 17. 2*k**3 - 26 Collect the terms in -506*u + 66*u**3 - 557*u + 67*u**3 + 1063*u. 133*u**3 Collect the terms in 147199*x - 74484*x - 73686*x. -971*x Collect the terms in -1341*u**3 + 483*u**3 + 417*u**3 + 438*u**3. -3*u**3 Collect the terms in -35*o**2 - 36*o**2 + 59811*o - 59802*o + 70*o**2. -o**2 + 9*o Collect the terms in -465*d**3 - 537*d**3 + 0 + 0 - 504*d**3 + 1485*d**3. -21*d**3 Collect the terms in 581844820496 - 581844820496 - 65*l**3. -65*l**3 Collect the terms in -70*r**2 + 11 - 25 - 23*r**2 - 49*r**2 + 12. -142*r**2 - 2 Collect the terms in 5513*k + 7 + 5506*k + 24 - 11017*k + 3 - 15. 2*k + 19 Collect the terms in -1791*h - 1358*h**2 + 1791*h - 6 + 6. -1358*h**2 Collect the terms in -14847 + 499*h**3 + 44542 - 14851 - 14844. 499*h**3 Collect the terms in 126*d - 1 - 4696*d + 1 + 4571*d. d Collect the terms in -150133*d**3 + 50201*d**3 + 50343*d**3 + 50816*d**3. 1227*d**3 Collect the terms in 20346 - 61051 + 20338 + 20348 - 10*a**2. -10*a**2 - 19 Collect the terms in -1134*p**2 + 803*p**2 + 303*p**2. -28*p**2 Collect the terms in -208*k**3 + 1083 - 292*k - 1083 + 181*k**3 + 292*k. -27*k**3 Collect the terms in -562 + 15*y + 331 + 6*y + 0*y. 21*y - 231 Collect the terms in -44324*w**2 + 79*w - 44325*w**2 + 88640*w**2. -9*w**2 + 79*w Collect the terms in -26074084 - 10*g**3 + 52148157 - 26074073. -10*g**3 Collect the terms in -12 - 8*v**2 + 6 + 7*v**2 - 1890*v - 19406*v. -v**2 - 21296*v - 6 Collect the terms in 498046*o - 249022*o - 249015*o - 33. 9*o - 33 Collect the terms in -1645 + 3293 - 23249*i - 68982*i - 1648. -92231*i Collect the terms in 830 - 3*b + 852 - 3333 + 825 + 826. -3*b Collect the terms in 2500242*l**2 - 11*l**3 - 1250125*l**2 + 0*l**3 - 1250117*l**2. -11*l**3 Collect the terms in 84159*v**2 - 47980*v**2 + 56474*v**2. 92653*v**2 Collect the terms in -106145*v - 3*v**2 + 212270*v - 106114*v - 2*v**2. -5*v**2 + 11*v Collect the terms in 145*c**2 - 7*c**2 - 67*c**2 - 29*c - 75*c**2. -4*c**2 - 29*c Collect the terms in 108*v**2 - 108*v**2 - v**3 - 2357*v - 268*v. -v**3 - 2625*v Collect the terms in 441*z**2 - 441*z**2 - 201025*z**3. -201025*z**3 Collect the terms in -1185*b - 636*b - 1783*b - 2085*b + 971*b - 2020*b. -6738*b Collect the terms in 28755*o**3 - 109700*o**2 + 219417*o**2 - 109717*o**2 - 28758*o**3. -3*o**3 Collect the terms in -5*r - 147*r + 139*r - 4 + 23 + 15*r. 2*r + 19 Collect the terms in -92241*x**3 - 100030*x**3 + 2312*x**3 - 65675*x**3. -255634*x**3 Collect the terms in -373*k - 165*k + 547*k - 5 - 227*k. -218*k - 5 Collect the terms in -10 - 20 + 263*k**3 - 6*k**2 + 317*k**3 + 32. 580*k**3 - 6*k**2 + 2 Collect the terms in -197*q + 4 + 33*q + 137*q - 4 + 27*q + 4*q**2. 4*q**2 Collect the terms in 301 - 14388*m**2 - 102 - 96 - 103. -14388*m**2 Collect the terms in -209*o**2 - 462 + 209 + 251 - 146*o**2. -355*o**2 - 2 Collect the terms in -116*d - 168 + 59 - 8. -116*d - 117 Collect the terms in -300*n**3 + 155*n**3 + 838*n**3. 693*n**3 Collect the terms in -60*v**3 + 102*v + 6*v**3 - 46*v + 9 - 40*v. -54*v**3 + 16*v + 9 Collect the terms in 32895 + 51*z**2 - 32898 - 106*z**2. -55*z**2 - 3 Collect the terms in -220883*z + 110373*z + 110515*z. 5*z Collect the terms in -2996*d + 1345*d + 1324*d. -327*d Collect the terms in 239*x**3 - 214*x**3 - 2*x**2 + x**2 - 1128*x**3. -1103*x**3 - x**2 Collect the terms in 8*g**3 + 0*g**2 - 7*g**3 + 4*g**2 - 5*g**2 - 2*g**2 - 9. g**3 - 3*g**2 - 9 Collect the terms in -25875909479*f**2 + 19 + 25875909486*f**2 - 19. 7*f**2 Collect the terms in 116 - 5*y**3 - 360 + 125 + 3*y + 122 - 3*y. -5*y**3 + 3 Collect the terms in -2*b**2 - 7*b + 4*b + 3*b + 370662 - 370662. -2*b**2 Collect the terms in 0 + 0 + 2044*v - 5749*v + 1652*v + 2054*v. v Collect the terms in 1225 + 6*c - 725 + 993 + 2587 - 8*c. -2*c + 4080 Collect the terms in -2 - 128991*n - 2 - 1 + 5 + 127045*n. -1946*n Collect the terms in 2453*u**2 - 10 + 2444*u**2 - 4893*u**2 + 10. 4*u**2 Collect the terms in 8*j + 1189 - 10*j - 355 - 360 + 1348. -2*j + 1822 Collect the terms in 44421*n**2 - 44421*n**2 + 5*n**3 - 4*n**3 + 2*n**3 + 9*n**3 + 0*n**3. 12*n**3 Collect the terms in 284 + 6*n**2 + 206 + 2*n**2 - 487. 8*n**2 + 3 Collect the terms in -108 + 43*h + 437 - 113 - 107 - 108. 43*h + 1 Collect the terms in -349 - 366 + 1083 - 366 - 901*f**2. -901*f**2 + 2 Collect the terms in -37626*n**2 + 34 - 2726272*n**2 + 2*n - 35. -2763898*n**2 + 2*n - 1 Collect the terms in -882 + 1584 - 1253 + 64*p**2. 64*p**2 - 551 Collect the terms in -4 + 628*q**2 + 4 + 639128*q**3 - 628*q**2 - 639130*q**3. -2*q**3 Collect the terms in 284*p + 445*p + 1102*p - 3603 + 1803 + 1800. 1831*p Collect the terms in -18302*w + 12222*w + 9521*w. 3441*w Collect the terms in 38194*y + 114959*y + 52693*y. 205846*y Collect the terms in 7*n**3 - 8*n**3 - 20418*n**2 + 20477*n**2. -n**3 + 59*n**2 Collect the terms in -267*f**3 + 29*f**3 + 71*f**3 - 7*f**3. -174*f**3 Collect the terms in -599*b**3 + b**2 + 0*b**2 - 739*b**3 - 537*b**3. -1875*b**3 + b**2 Collect the terms in 1527*j**2 + 3715*j**2 + 3176*j**2 - 1104*j**2. 7314*j**2 Collect the terms in 201*t**2 - 132*t**2 + 253*t**2 - 41*t**3 + 80*t**3 + 105*t**2 - 38*t**3. t**3 + 427*t**2 Collect the terms in -28*a**3 + 39 + 340 - 24*a**3 - 19*a**3 + 73*a**3. 2*a**3 + 379 Collect the terms in -266 + 688 + 804*o - 340. 804*o + 82 Collect the terms in 138 - 77*k - 138 - 124*k + 220*k. 19*k Collect the terms in 5909282*v**2 + 5909528*v**2 - 11818834*v**2. -24*v**2 Collect the terms in -157*a**2 + 791*a**2 - 130*a**2 + 249*a**2 + 425*a**2 + 46*a**2. 1224*a**2 Collect the terms in -55722 + 4505 + 2764 - q. -q - 48453 Collect the terms in -15456*k**3 - 13239 - 13237 + 30918*k**3 + 26476 - 15460*k**3. 2*k**3 Collect the terms in -5*v - 20*v - 6 + 4 + 0 + 13*v - 49*v**2. -49*v**2 - 12*v - 2 Collect the terms in 112483*c**3 +
{ "pile_set_name": "DM Mathematics" }
*u - 15*u + 9*u - u + 1 - 1. -48*u Expand (6 + 0 - 8 + 6*h)*(6*h - 5*h + 2 - 3*h) + 2*h**2 - 2*h**2 - 2*h**2. -14*h**2 + 16*h - 4 Expand (-2 + 4 + 0)*(3*u - 2*u + u) + 327 - 151 + 34 + 1146 + u. 5*u + 1356 Expand (-x**2 - x**2 + 4*x**2)*(-1 + x**2 + 1) + x**3 - 24*x**4 - 4*x + 6*x - 2*x**3. -22*x**4 - x**3 + 2*x Expand (-482 + 9*i + 482)*(-3 - 2 + 6). 9*i Expand -2*h**5 - 8*h**5 - 6*h**5 + (-5*h**4 + h**4 + 2*h**4)*(2 - 2 + 2*h) + 4*h**3 - 4*h**3 + 3*h**5. -17*h**5 Expand (-2 - 1 + 1)*(2*u**2 + 0*u + 0*u) + 253*u**2 - 46*u**2 + 327*u**2. 530*u**2 Expand (-2 + 6 - 2)*(k - k - 2*k**2)*(-1 + k + 1)*(-15 + 18*k + 15). -72*k**4 Expand (0 + 9 + 6)*(4*x - 4*x + 2*x)*(-4 - 2*x + 4). -60*x**2 Expand -t**2 - 3*t**3 + t**2 + (-3*t**2 + 3*t**2 + 3*t**2)*((-1 - t + 1)*(-1 + 0 + 3) + t - 4*t - t + 0*t - t + 2*t - t - 2*t - 4*t). -39*t**3 Expand (-2 + 2 - f**2)*(139 - 30 + 247 - 26). -330*f**2 Expand (-22 - 2*r**2 + 0*r**2 - 125*r + 126*r)*((-2 + 2 + 2)*(-2 + 3 + 5) - 4 + 3 - 1). -20*r**2 + 10*r - 220 Expand (4*v - 3*v + 2*v**3 + v)*(1591*v - 44*v - 13*v + 414*v). 3896*v**4 + 3896*v**2 Expand (-4*d + 2*d + 3*d)*(-2297*d - 481*d**2 + 2299*d + 182*d**2). -299*d**3 + 2*d**2 Expand 2*o**2 - 3*o**2 - o**2 + (10*o - 2919 + 2919)*(-3 + 0*o + 5 + 2*o) - 5 + 3 + 3 + o**2. 19*o**2 + 20*o + 1 Expand (-3*t**3 + 8*t**3 + 2*t**3)*(t - t - t**2) + 31*t**5 + 53*t - 53*t. 24*t**5 Expand (172*w + 11 + 3*w**2 - 2*w**2 - 174*w)*(2*w**2 - 2*w**2 + 2*w**2). 2*w**4 - 4*w**3 + 22*w**2 Expand (-3*z**4 - z**3 + z**3)*(3 + 0 - 2)*(10*z + 67 - 67). -30*z**5 Expand (3 - 3 - 4)*(-4*z**2 + 11*z**2 + 0*z**2) + 3*z**2 - 4*z**2 + 2*z**2 + (2*z - 2*z - z**2)*(3 - 3 - 2) + 2*z**2 - 3*z**2 - z**2. -27*z**2 Expand 2*c**3 - c**3 - 3*c**3 + (-c + c + c**2)*(-15*c + 5 - 5)*(3 + 2 - 2). -47*c**3 Expand (28 - 67 + 37 - 320*p)*(p + 0*p + 0*p). -320*p**2 - 2*p Expand (2 + n - 2)*(-3*n + 6*n - 8*n)*(-2*n + 3*n - 5*n) + n**3 - 5*n**3 - 7*n**3. 9*n**3 Expand 2*s**3 - 3*s**3 + 3*s**3 + 2*s + (4*s - 4*s - s**2)*(0*s + 2*s - 9*s) + 93*s - 93*s - 47*s**3. -38*s**3 + 2*s Expand ((4 - 2 - 4)*(-2 - 1 + 1) + 6 - 2 - 3 - 3 - 2 + 3)*(2*f**4 + f**4 - f**4 + (5*f - f - 2*f)*(f**3 - 4*f**3 + 4*f**3) - 14*f**4 + 0*f**4 - 28*f**4). -114*f**4 Expand (4 - 2 + 0)*(-3 - 4 + 6)*(8*j + 15*j - 4*j). -38*j Expand (2*z**2 + 0*z**2 - 6*z**2)*(4 + 24*z - 4). -96*z**3 Expand (1 - 1 - 4*f)*(-84*f + 5*f**2 + 84*f)*(1 - 1 + 3*f). -60*f**4 Expand (32*z + 54*z - 9*z)*(6 + 0 - 4)*(-2 + 2*z**2 + 2). 308*z**3 Expand (198*u + 9*u**2 - 39*u**2 + 32*u**2)*(3 - 3 + 3*u)*(4*u**2 - 2*u**2 + 0*u**2 + (-2*u + 3 - 3)*(u + 0*u + u)). -12*u**5 - 1188*u**4 Expand ((-2*d - 4*d + 5*d)*(-3 - 2 + 3) - 2347 + 2347 + 145*d)*(2 + 2 - 6). -294*d Expand (-28*k - 17*k + 74*k)*((2*k + 0*k - 3*k)*(2*k**3 + 1 - 1) + 2*k**2 - 2*k**2 - 9*k**4). -319*k**5 Expand ((-3 + 0 + 5)*(0 - 1 + 0) + 3 - 1 - 1)*(48 + 28*g - 48). -28*g Expand -p**2 + 0*p + p + p + (0*p + 5*p - 3*p)*(22*p - 99*p + 19*p). -117*p**2 + 2*p Expand -5*k - 3*k - 5*k - 5*k - 5*k + 68 - 68 + (4*k - 4*k - 2*k)*(1 - 2 - 1) - k + k - 2*k + k + 2*k - k + 2*k - 2*k + k - 5*k + 4*k + 3*k. -16*k Expand (-1 + 3*v + 1)*(-6*v**3 + v**3 + 4*v**3) - 2*v**3 - v**4 + 2*v**3 + v**4 + 2*v**4 + 3*v**4. 2*v**4 Expand (4*c - c - c)*(-13 + 11*c - 7*c - 7*c + (-1 + 4 + 1)*(4 + 0 - 2)*(c - 1 + 1)). 10*c**2 - 26*c Expand (-42 - 199 + 68)*(0 - 2 + 5)*(2*p - 4*p + 3*p). -519*p Expand (-28*d**2 + 5*d**2 - 4*d**2)*(8*d**3 + 4*d**3 - 6*d**3). -162*d**5 Expand (4*r - r - 6*r)*(-2*r - 4*r + 0*r)*(-1 - 1 + 0*r - r). -18*r**3 - 36*r**2 Expand (0*u + u + 0*u)*(40*u**2 + 29*u**2 - 1555*u**4 + 1558*u**4). 3*u**5 + 69*u**3 Expand (2 - x**2 - 2 + (-5 + 2 + 2)*(4*x**2 - 2*x**2 + 0*x**2) - x**2 - 3*x**2 + 5*x**2 + (-2*x - 3*x + 4*x)*(-2*x + x + 3*x))*(246 - 348*x - 364*x + 713*x). -4*x**3 - 984*x**2 Expand (4 + 10*j - 4*j - 8*j)*(-2 + 0 + 0). 4*j - 8 Expand -4*d**3 + 6*d**2 - 6*d**2 + (2*d**2 - 2*d**2 + 5*d**2)*(5*d + 4 + 0 - 2). 21*d**3 + 10*d**2 Expand ((-1 + 1 + 4)*(6*m**3 - 3*m**2 + 3*m**2) + 2*m**3 - m**2 + m**2)*(-14*m + 6*m + 25*m). 442*m**4 Expand (0*l + 2*l - 3*l)*(-3 - 74 - 8)*(2*l - 4 + 6*l - 10*l)*(3 - 1 + 0). -340*l**2 - 680*l Expand (324 - 448 - 181)*(4 - 4 - 4*o**2). 1220*o**2 Expand (-3*l + 2*l + 0*l)*(760 - 326 + 1171). -1605*l Expand (-2*v**5 + 0*v**5 + 4*v**5)*(1 + 2 - 5) + (-3*v**2 + 0*v**2 + 2*v**2)*(26*v**3 - 60*v**3 + 15*v**3). 15*v**5 Expand ((3 - 3 - q**2)*(2*q - 4*q + 4*q) - 2*q**3 - q**3 + q**3 + (1 + 1 + 1)*(0*q**3 - 3*q**3 + 2*q**3))*(-16*q**2 - 12*q**2 - 3*q**2). 217*q**5 Expand (4*d**2 + 0*d**2 - 2*d**2 + (-3*d + d + 5*d)*(5 - 2 - 2)*(2*d + 0*d + 0*d) - 22*d + 8*d**2 + 22*d)*(5*d**2 - 3 + 3). 80*d**4 Expand -4*y - 3 + 2 + 5*y + (6*y + 14*y + 5*y)*(-2 + 0 + 0). -49*y - 1 Expand ((-19 + 27 + 18)*(-v - 5*v + 4*v) + 0*v - 2*v + 6*v)*(-2 + 6 - 1). -144*v Expand -4*l**2 + l**3 + 4*l**2 + (2*l**2 + 2*l**2 - 6*l**2)*(-2*l + 3 - 3) + 5*l**3 - 3*l**3 - 3*l**3 + 4*l**3 + l**3 - 2*l**3 - 2 + 15*l**3 - 36*l**3 - 1. -14*l**3 - 3 Expand (18*m**3 - 9*m**2 + 2*m**4 - 18*m**3)*(-4*m + 4*m - m). -2*m**5 + 9*m**3 Expand (10*n**5 + 25157 - 25157 + 13*n**4 - n)*(5 - 2 - 4). -10*n**5 - 13*n**4 + n Expand 2*r + 6 - 6 + r**2 + (-r - r - 3*r)*(-7 - 7*r + 7). 36*r**2 + 2*r Expand -1066*n - 63*n**4 + 1066*n + (2*n - n**2 - 2*n)*(-n + n + n**2) - 2*n**2 - n**4 + 2*n**2 + 2*n**4 - 2*n**4 - 4*n**4. -69*n**4 Expand (x + 3*x - 6*x + (0 + 5*x + 0)*(-2 + 1 + 4))*(17*x**3 - 4*x**3 - 8*x**3). 65*x**4 Expand (16*y + 38*y - 25*y)*(5 - 4 - 2)*(-2*y + 0*y + 0*y). 58*y**2 Expand (4*x - x - 4*x)*(2 + 2 - 3) + 1 - 3*x - 1 - x - x + 3*x + 225*x + 44 - 227*x + 75. -5*x + 119 Expand 2*i**4 + 3*i**4 - 4*i**4 + (2*i - 2*i + i**2)*(-2 + 2 - i**2) + 0*i - i**4 + 0*i + (-i + i + 2*i**4)*(3253 - 5377 + 2713). 1177*i**4 Expand (176*t - 106*t + 171*t)*(5*t - 5*t - t**2). -241*t**3 Expand (1 - z - 1)*(356 + 364 - 31). -689*z Expand 0*c + 0*c - 2*c + (-5*c + c + 2*c)*(-6 + 2 + 8) + (-2 + 2 - c)*(-2 + 2 + 2). -12*c Expand (2*f**3 - f**3 - 2*f**3)*(383 - f**2 - 249 + 537). f**5 - 671*f**3 Expand -25*h**3 + 93 - 93 - 3*h + (h + h - 3*h)*(2*h + 2*h**2 - 2*h). -27*h**3 - 3*h Expand (-2*r**2 - 5*r**2 + r**2 + (r - 2*r - r)*(7*r + 0*r - 3*r))*(-1414 + 1414 - 111*r). 1554*r**3 Expand (0 - 2*s + 0)*(-3*s + 4*s - 2*s + (-4*s + 0*s - s)*(-2 - 1 + 5) + 6*s - 94 + 94)*(5 - 2 - 2). 10*s**2 Expand 7*i**3 - 2*i**3 - 3*i**3 + 2*i**3 - i**3 + 0*i**3 + (-3*i + 4*i + 0*i)*(-i + i - 2*i**2) - 2 + 2*i**3 + 2 - 5*i**3 - i**3 + 1 - 4*i**3. -7*i**3 + 1 Expand 3*f**5 + 3*f**5 - 4*f**5 + 2*f**2 - f**5 - 2*f**2 + f**4 + f**5 - f**4 + (-4*f + f + 2*f)*(3*f**4 + 2*f - 2*f) + 3*f**5 - 3*f**5 + 6*f**5. 5*f**5 Expand -3*h**5 - 3*h**5 + 3*h**5 + (0*h**3 + 0*h**3 + 2*h**3)*(-6*h**2 + 4*h**2 - 16*h**2). -39*h**5 Expand (-3 - 1 + 6)*(0*s**5 - s**5 + 2*s**5 + (-4*s**5 + 2*s**5 + 4*s**5)*(0 - 3 + 4) - 3*s**5 - 5 + 98*s - 98*s + 2*s**5 + 0*s**5 + s**5). 6*s**5 - 10 Expand (-h**3 - 3*h**2 + 3*h**2)*(0 + 0 - 2) - 7*h**3 - 8*h**3 + 11*h**3 + (-1 + 5 - 3)*(-3*h**3 + 0*h**3 + 6*h**3). h**3 Expand (1 + 1 - 4)*(0 + 0 + 4*m**2) - 5*m**2 - 2*m**2 - m**2 + 4*m**2 - m**2 - m**2 + (m**2 + 0*m + 0*m)*(0 + 0 + 2). -12*m**2 Expand (-5 + 12 + 1)*(3*p + 0*p - 2*p)*(-4*p + 25 + 5*p - 2*p)*(3 - 3 - p). 8*p**3 - 200*p**2 Expand (-x + x - 2*x + (x + 2*x - x)*(3 - 2 - 2) + x - x - x + (3 - 2 + 0)*(-23*x + 18*x - 17*x))*(0*x**3 + 5*x**3 - 4*x**3). -27*x**4 Expand (13 + 10 - 7)*(0*r - 2*r + 0*r) - 3*r + r + 0*r + r + 0 + 0. -33*r Expand (-10*k**4 + 20*k**4 + 5*k**4)*(4*k - k - 2*k)*(-4 + 2 - 3 + 1). -60*k**5 Expand 17*p + 8*p**3 - 17*p + (p + 0*p - 3*p)*(-3*p**2 + 2*p**2 + 3*p**2) - 24*p**2 + 24*p**2 - 6*p**3. -2*p**3 Expand (4 - 3 - 10)*(-139*b + 139*b - 29*b**3) - 2*b**3 + 2*b**3 - b**3. 260*b**3 Expand (67*n - 67*n - 7*n**4 + (n**4 - n + n)*(0 + 3 - 4))*(0 + 3*n + 0) + 5*n**5 - 5*n**5 - n**5 + (2 - 2 + 2*n**3)*(4*n**2 + 2*n**2 - 4*n**2). -21*n**5 Expand 4*o**5 - 4*o**5 - 3*o**5 + 3*o**5 - 3*o**5 - o**5 - o + o - o**5 + (0*o**4 + 0*o**4 + 2*o**4)*(3*o - 2*o + o) - 13*o**5 + 2 + 5*o**5 + 56*o**5. 47*o**5 + 2 Expand (-6 + 4 + 7)*(4*i + 0*i + 2*i)*(-i - 2*i + i + 3 - 3 + 2*i + (-2*i - 5 + 5)*(-2 - 2 + 2) - 1 + 1 - i - 4*i - 2*i + 5*i - 1 - i + 1). 30*i**2 Expand 0*f - 2*f + 7*f + (f + 4*f - 3*f)*(-2 - 3 + 2) + (0*f + 0*f - 2*f
{ "pile_set_name": "DM Mathematics" }
nce zzz. 1 Four letters picked without replacement from arroorywwraooaorwrrr. What is prob of sequence roro? 28/2907 Two letters picked without replacement from iooii. What is prob of sequence ii? 3/10 Three letters picked without replacement from immm. Give prob of sequence imm. 1/4 Two letters picked without replacement from llklllmlkmmkmlllllll. What is prob of sequence lm? 13/95 Four letters picked without replacement from zbplnzplbdbl. What is prob of sequence zppd? 1/2970 Three letters picked without replacement from {l: 6, r: 13}. Give prob of sequence lrr. 52/323 What is prob of sequence ijmc when four letters picked without replacement from {i: 2, j: 1, y: 1, c: 1, d: 1, m: 1}? 1/420 Three letters picked without replacement from {z: 2, r: 12, v: 5}. What is prob of sequence zzr? 4/969 Four letters picked without replacement from {v: 6, x: 2}. What is prob of sequence xvvv? 1/7 Four letters picked without replacement from {m: 2, d: 2, s: 1, y: 8, u: 2}. What is prob of sequence yudy? 4/585 Calculate prob of sequence zzg when three letters picked without replacement from sgzz. 1/12 Calculate prob of sequence rpig when four letters picked without replacement from {r: 1, a: 1, i: 1, g: 1, p: 1}. 1/120 Two letters picked without replacement from gfgsgkkgggskskkg. Give prob of sequence kf. 1/48 Calculate prob of sequence lssb when four letters picked without replacement from {u: 1, l: 2, s: 4, b: 3}. 1/70 Calculate prob of sequence dvd when three letters picked without replacement from dhqdvddhddddq. 14/429 Two letters picked without replacement from mmp. What is prob of sequence mp? 1/3 Three letters picked without replacement from {o: 8, k: 5, y: 3}. Give prob of sequence kkk. 1/56 Calculate prob of sequence gbb when three letters picked without replacement from {g: 5, b: 14}. 455/2907 Two letters picked without replacement from {a: 5, e: 1, f: 3}. Give prob of sequence ae. 5/72 Three letters picked without replacement from qqviqkkvkkvvkivkqki. Give prob of sequence qvk. 70/2907 What is prob of sequence os when two letters picked without replacement from iiszwioowi? 1/45 Two letters picked without replacement from zcooozcbzbbzco. Give prob of sequence cc. 3/91 What is prob of sequence uada when four letters picked without replacement from uadaduuuuuuuzauau? 1/238 What is prob of sequence xwr when three letters picked without replacement from {x: 1, r: 4, w: 4, s: 2}? 8/495 What is prob of sequence ra when two letters picked without replacement from yratrwb? 1/21 Calculate prob of sequence dd when two letters picked without replacement from diptidddpibpd. 5/39 Calculate prob of sequence izei when four letters picked without replacement from ehhiihhzzzue. 1/990 Calculate prob of sequence li when two letters picked without replacement from iililiiiliimllliil. 35/153 Three letters picked without replacement from rrrrrrvrrrrr. What is prob of sequence rvr? 1/12 Calculate prob of sequence re when two letters picked without replacement from rrrrrerrrrreeererer. 13/57 Calculate prob of sequence wyvy when four letters picked without replacement from wtvvwvytdwwvwvyw. 1/728 Three letters picked without replacement from {c: 1, r: 2, l: 1, a: 3}. What is prob of sequence caa? 1/35 Three letters picked without replacement from {c: 1, m: 4, j: 4, z: 1}. What is prob of sequence jcj? 1/60 Four letters picked without replacement from jasxsvsxcvxa. Give prob of sequence cvcv. 0 What is prob of sequence ns when two letters picked without replacement from eeseekeseneeeeeooo? 1/153 Three letters picked without replacement from riurvycu. What is prob of sequence irr? 1/168 Calculate prob of sequence wa when two letters picked without replacement from wwwrrrrarrrwwrrrr. 5/272 What is prob of sequence jjb when three letters picked without replacement from jjbbjjjjjb? 7/40 What is prob of sequence eo when two letters picked without replacement from ooggooggeoh? 1/22 Three letters picked without replacement from ppuppupdduduuudu. Give prob of sequence ppu. 1/24 Four letters picked without replacement from {f: 3, b: 1, s: 8, d: 6}. What is prob of sequence sffb? 1/1530 Three letters picked without replacement from {q: 2, w: 3}. Give prob of sequence wqw. 1/5 Two letters picked without replacement from {o: 3, h: 15}. Give prob of sequence oh. 5/34 Two letters picked without replacement from {g: 2, h: 1, d: 2}. Give prob of sequence gg. 1/10 What is prob of sequence lp when two letters picked without replacement from {t: 3, l: 3, u: 1, p: 3}? 1/10 Three letters picked without replacement from ojjoojoo. Give prob of sequence jjo. 5/56 Calculate prob of sequence mt when two letters picked without replacement from {t: 1, n: 3, m: 1}. 1/20 Calculate prob of sequence ajo when three letters picked without replacement from {o: 1, j: 3, a: 1, n: 1, c: 1}. 1/70 What is prob of sequence jo when two letters picked without replacement from {j: 2, h: 6, q: 2, s: 1, o: 1}? 1/66 What is prob of sequence rr when two letters picked without replacement from rdddrdrddddddrdddddd? 3/95 What is prob of sequence frr when three letters picked without replacement from rhfcr? 1/30 Two letters picked without replacement from eeeegppgegepegee. What is prob of sequence pp? 1/40 What is prob of sequence oo when two letters picked without replacement from {i: 4, g: 5, o: 6}? 1/7 Four letters picked without replacement from {k: 7}. What is prob of sequence kkkk? 1 Four letters picked without replacement from popssspoooooooosoo. Give prob of sequence spos. 11/2040 Four letters picked without replacement from olxllxxghlxyllylx. Give prob of sequence oxxx. 1/952 What is prob of sequence kj when two letters picked without replacement from wkwjwjjwwwwwkjjwwj? 2/51 Calculate prob of sequence lxz when three letters picked without replacement from {l: 2, z: 1, d: 2, f: 1, x: 1, q: 1}. 1/168 What is prob of sequence ah when two letters picked without replacement from haahh? 3/10 Four letters picked without replacement from hhffzhzjzhl. Give prob of sequence ffzl. 1/1320 What is prob of sequence pi when two letters picked without replacement from iipypypyypyy? 2/33 Three letters picked without replacement from nqql. What is prob of sequence lqq? 1/12 What is prob of sequence ae when two letters picked without replacement from {y: 9, e: 4, a: 4}? 1/17 Three letters picked without replacement from {v: 2, t: 4, o: 1, f: 4, c: 8}. Give prob of sequence vvc. 8/2907 Four letters picked without replacement from auuuuauauu. What is prob of sequence aauu? 1/20 Four letters picked without replacement from sstwtktwwmtswtstwms. What is prob of sequence mkwm? 5/46512 Calculate prob of sequence qii when three letters picked without replacement from {q: 2, r: 3, i: 2, x: 4}. 2/495 What is prob of sequence mm when two letters picked without replacement from lmmwwwmwwwlw? 1/22 Two letters picked without replacement from qksksmqsqmmkq. Give prob of sequence mq. 1/13 Three letters picked without replacement from llmmxxbxffmmmmxxx. What is prob of sequence fbm? 1/340 Three letters picked without replacement from {j: 1, z: 1, b: 2, p: 4, h: 1}. What is prob of sequence bjh? 1/252 What is prob of sequence uguz when four letters picked without replacement from wuuuzuugzuuuzgzu? 6/455 Four letters picked without replacement from cescccscescc. Give prob of sequence sses. 1/990 What is prob of sequence aaqa when four letters picked without replacement from cccacqqqcqqqqcqqaac? 3/5168 Four letters picked without replacement from {o: 7, d: 3, n: 3}. What is prob of sequence onnn? 7/2860 Calculate prob of sequence aso when three letters picked without replacement from kaojsss. 1/70 What is prob of sequence zc when two letters picked without replacement from {z: 5, c: 4, h: 5}? 10/91 Calculate prob of sequence qq when two letters picked without replacement from uuqquu. 1/15 Calculate prob of sequence sw when two letters picked without replacement from {s: 5, w: 14}. 35/171 Three letters picked without replacement from {l: 1, c: 1, z: 9}. What is prob of sequence ccc? 0 Four letters picked without replacement from {r: 1, e: 2, s: 1, j: 1}. Give prob of sequence rjre. 0 Four letters picked without replacement from {x: 2, g: 2, b: 3,
{ "pile_set_name": "DM Mathematics" }
that 229*j + 210*j**4 - 4*j**5 + 630*j**3 + 29*j**5 + 90 + d*j + 820*j**2 = 0. -3, -1, -2/5 Let o(g) = -g**2 - 6*g + 1. Let t(z) = -1. Let r(k) = o(k) + 4*t(k). Let b be r(-5). What is u in -4*u**3 - 2*u**b - 4 + 4*u - 6*u**2 + 12 = 0? -2, -1, 1 Let i be 2/6 + -5*(-23)/(-345). Let -2/3*n**2 + 0*n - 1/6*n**4 + 2/3*n**3 + i = 0. What is n? 0, 2 Let a(p) = 34*p**2 + 156*p - 130. Let s(h) = -10*h**2 - 52*h + 44. Let z(f) = 3*a(f) + 10*s(f). Let z(n) = 0. What is n? 1, 25 Let c(j) be the first derivative of 36 + 0*j - 6/5*j**4 - 4/5*j**3 - 9/25*j**5 + 0*j**2. What is r in c(r) = 0? -2, -2/3, 0 Let c be -3 + 2918/36 - 1/(-6). Let p = c - 78. Determine i so that 2/9*i**4 + 0 - 2/9*i**2 + 2/9*i - p*i**3 = 0. -1, 0, 1 Factor -105 - 874*c**2 + 859*c**2 + 99*c - 15. -3*(c - 5)*(5*c - 8) Solve -681*b + 35 - 21 + 38 + 263*b + 214*b - 16*b**2 = 0 for b. -13, 1/4 Let z = 245/2 - 100. Find t such that z*t**2 + t - 4 = 0. -4/9, 2/5 Let c(k) be the first derivative of 0*k**3 - 10 - 2/3*k**6 - 2*k**2 + 0*k + 0*k**5 + 2*k**4. Factor c(w). -4*w*(w - 1)**2*(w + 1)**2 Let i(d) be the second derivative of -d**6/210 + d**5/70 + d**4/28 + 73*d. Factor i(q). -q**2*(q - 3)*(q + 1)/7 Let i(d) be the second derivative of 8*d - 13/2*d**2 - 1/120*d**5 - 1/16*d**4 - 1/6*d**3 + 0. Let f(j) be the first derivative of i(j). Factor f(n). -(n + 1)*(n + 2)/2 Factor -33*h - 29*h + 62*h - 6*h**3 + 3*h**5 - 3*h**4. 3*h**3*(h - 2)*(h + 1) Let q(p) = 6*p**3 + 14*p**2 - 18. Let u = 4 + -6. Let g(s) = 31*s**3 + 71*s**2 - 91. Let a(v) = u*g(v) + 11*q(v). Factor a(k). 4*(k - 1)*(k + 2)**2 Let d be 4/11*((-2619)/(-54) - 48). Factor -2/11*b + 4/11*b**2 - d*b**4 - 2/11 + 4/11*b**3 - 2/11*b**5. -2*(b - 1)**2*(b + 1)**3/11 Let s(l) = -2*l**3 - l**2 - l. Let n(o) = -2*o**4 + 2*o**3 + 28*o**2 + 12*o. Let d(x) = n(x) - 6*s(x). Factor d(y). -2*y*(y - 9)*(y + 1)**2 Suppose -x + 27*z - 29*z = -2, 3*z = -3. Factor 2/13*j**x + 0*j - 2/13*j**3 + 0*j**2 + 0. 2*j**3*(j - 1)/13 Let m(i) be the second derivative of i**4/66 - 16*i**3/33 + 15*i**2/11 + 144*i. Factor m(v). 2*(v - 15)*(v - 1)/11 Suppose -r = -21 + 19. Let f(n) be the second derivative of 0 + 0*n**4 + 1/3*n**3 + 2/3*n**2 - r*n - 1/30*n**5. What is h in f(h) = 0? -1, 2 Let j = 51 + -54. Let o be j/((-9)/(-15))*(-8)/10. Find l, given that 1/3*l**o + 0 + 0*l + 1/3*l**2 - 2/3*l**3 = 0. 0, 1 Suppose 6*x - 2*x = 2*x. Suppose x = 5*n - 9 - 6. Let -1/3*q**4 - q**2 + 0 - q**n - 1/3*q = 0. Calculate q. -1, 0 Let g(p) = -10*p**3 + 3*p**2 - p. Let j(r) be the first derivative of 3*r**4/4 - r**3/3 + 31. Let h(s) = 4*g(s) + 14*j(s). What is l in h(l) = 0? -1, 0, 2 Let r be (44 + -12)*(0 + 1). Let s = r - 27. Determine m so that -12 + 6*m**2 + s*m**3 - 4*m + 2 + 2 + m**4 = 0. -2, 1 Let u(f) be the first derivative of -f**3/8 + 61*f**2/16 + 21*f/4 + 93. Solve u(j) = 0 for j. -2/3, 21 Suppose p - 115 = 140. Let f = -2803/11 + p. Determine v, given that -4/11*v - f*v**3 - 6/11*v**2 + 0 = 0. -2, -1, 0 Let v(d) be the first derivative of -d**2/2 + 7*d + 55. Let j be v(5). Suppose -1/5*z**3 + 0 - 2/5*z**j + 0*z = 0. What is z? -2, 0 Let v(b) be the first derivative of 4*b**5/35 + 4*b**4/7 + 20*b**3/21 + 4*b**2/7 + 446. Factor v(i). 4*i*(i + 1)**2*(i + 2)/7 Let u(l) = l**2 + 10*l + 12. Let j be u(-9). Factor -7*v**j + 0*v**3 + 2*v**5 + 5*v**3. 2*v**3*(v - 1)*(v + 1) Let x = -2971 - -11885/4. Let q be (-6)/3 + (-57)/(-24). Factor x*t**3 + 1/4*t**2 - 3/8*t + 1/8*t**5 + 1/8 - q*t**4. (t - 1)**4*(t + 1)/8 Let x(a) = 17*a**3 - 11*a**2 - 100*a + 72. Let p(c) = -9*c**3 + 6*c**2 + 51*c - 36. Let z(o) = -11*p(o) - 6*x(o). Factor z(n). -3*(n - 3)*(n - 1)*(n + 4) Suppose -7*x + 6*x = 0. Suppose 5*h + 2*i + 3*i = 15, x = 5*h - 3*i + 9. Factor 1/10*g**3 + 1/5*g**4 + 0*g + 1/10*g**5 + h + 0*g**2. g**3*(g + 1)**2/10 Factor -185/2*o - 6845/4 - 5/4*o**2. -5*(o + 37)**2/4 What is d in -88/5 + 436/5*d + 4*d**2 = 0? -22, 1/5 Let y(v) = v**3 + 5*v**2 + 2*v - 5. Let z be y(-4). Let w = -86 - -86. Let 0 + w*d**2 - 2/5*d**z + 2/5*d = 0. Calculate d. -1, 0, 1 Let o = 210071/7 + -30010. Factor -3/7*l**2 + 4/7 + 0*l - o*l**3. -(l - 1)*(l + 2)**2/7 Let c be 4/(-30) + (-62)/(-15). Determine v so that -2*v**4 - v**2 + 4*v**2 + c*v - v - 3*v**3 - v**4 = 0. -1, 0, 1 Let h = -4667/6 + 778. Let k(p) be the second derivative of -1/20*p**5 - 7*p + 0*p**3 + 0 + 1/42*p**7 + 1/15*p**6 - h*p**4 + 0*p**2. Factor k(b). b**2*(b - 1)*(b + 1)*(b + 2) Factor -7/4*q - 3 - 1/4*q**2. -(q + 3)*(q + 4)/4 Let x(k) be the second derivative of k**6/10 + 21*k**5/20 + 7*k**4/2 + 4*k**3 + 2*k + 95. Factor x(q). 3*q*(q + 1)*(q + 2)*(q + 4) Let d(j) = 58*j - 9334. Let o be d(161). Factor -6*g**3 + 3/2*g**5 + 0*g**o + 0*g**2 + 0 + 0*g. 3*g**3*(g - 2)*(g + 2)/2 Let l(y) = -12*y**2 - 57*y - 3. Let k = -4 + -1. Let g(v) = 56034 + 2*v**2 - 56035 - 14*v - 5*v**2. Let d(f) = k*l(f) + 21*g(f). Find i, given that d(i) = 0. -2, -1 Let -1141 - 179 - 1705 - 110*f + 4*f**2 - 5*f**2 = 0. What is f? -55 Suppose 2*p - 4*s - 18 = 0, -22*p + 24*p = 6*s + 24. Let 0*l**2 - 1/6*l**p + 0 + 1/6*l = 0. What is l? -1, 0, 1 Let r(m) be the first derivative of m**3/3 + 15*m**2/2 + 23. Let y be r(-15). Find d such that y*d - 2/3*d**3 - 2/3*d**5 + 0*d**2 + 0 - 4/3*d**4 = 0. -1, 0 Let v(o) be the first derivative of 2*o**3/7 - 81*o**2/7 - 24*o + 202. Factor v(h). 6*(h - 28)*(h + 1)/7 Factor 32*x**5 + 167*x**2 - 18*x**5 - 27*x**4 - 168*x**3 - 15*x**5 + 29*x**2. -x**2*(x - 1)*(x + 14)**2 Let t = 50 + -30. Let -2*a**2 - 2*a**2 + t*a - 526 + 2*a**2 + 476 = 0. What is a? 5 Factor -320*n + n**3 + 220 + 67*n**2 + 28*n**2 + 4*n**3. 5*(n - 2)*(n - 1)*(n + 22) Let x(t) = -2*t**4 - t**2 - 1. Let s(i) = -22*i**4 + 260*i**3 + 246*i**2 + 48*i + 14. Let c(v) = -2*s(v) - 28*x(v). Factor c(w). 4*w*(w - 6)*(5*w + 2)**2 Let o(t) = -1558*t - 6232. Let y be o(-4). Suppose 0 + 1/2*z**4 + y*z + 0*z**2 + z**3 = 0. What is z? -2, 0 Let a(g) = g**3 + 10*g**2 - g - 8. Let d be a(-10). Determine p so that 5 + 3 - 5*p**2 + 3*p**d = 0. -2, 2 Factor 2*o**2 - 10*o**3 + 139*o**5 + 11*o - 140*o**5 - 7*o**4 + 8 - 3. -(o - 1)*(o + 1)**3*(o + 5) Let h(a) be the third derivative of -a**6/30 - a**5/6 + 23*a**4/12 - 10*a**3/3 - 5*a**2 + 15. Suppose h(v) = 0. What is v? -5, 1/2, 2 Let u be (-2)/4 + (4/56 - -1). Let w(n) be the first derivative of -5/7*n**2 - u*n + 3 - 1/14*n**4 - 8/21*n**3. Factor w(p). -2*(p + 1)**2*(p + 2)/7 Let r = 49/510 - -6/85. Let l(p) be the second derivative of -1/10*p**5 + 0 + 0*p**2 - 3*p + 2/3*p**3 - r*p**4. Factor l(m). -2*m*(m - 1)*(m + 2) Let q(w) = -w**2 - 1 - 3 + 16 - 7*w - 2*w. Let g be q(-10). Factor 19/3*v + 21*v**3 + 2/3 + 20*v**g. (3*v + 1)**2*(7*v + 2)/3 Let w = 504 + -504. Let x(z) be the third derivative of 1/8*z**4 + 6*z**2 - 7/240*z**5 + w + 1/6*z**3 + 0*z. Suppose x(o) = 0. What is o? -2/7, 2 Let k = -65 + 68. Factor 41 - 41 - j**3 - j**k + 2*j. -2*j*(j - 1)*(j + 1) Let v = -12255 + 12257. Factor -4/5*k**3 - 12/5*k**v - 4/5 - 12/5*k. -4*(k + 1)**3/5 Let s(l) = 7*l**3 + 2*l**2 + 5*l. Suppose -3*r + 11 + 1 = 0. Suppose 5 = -r*f + 29. Let m(v) = -4*v**3 - v**2 - 3*v. Let p(y) = f*s(y) + 10*m(y). Factor p(u). 2*u**2*(u + 1) Let x(w) be the second derivative of -2*w**3 + 0 - w**4 + 12*w + 0*w**2 + 3/20*w**5 + 1/10*w**6. What is q in x(q) = 0? -2, -1, 0, 2 Let n(f) = f**2 + 7*f + 12. Let a = 19 - 23. Let v be n(a). Factor 0 + v*d + 0*d**2 + 1/4*d**3. d**3/4 Let k(h) = -14*h - 1. Let b be k(-4). Suppose 2*w = -3*w + b. Factor -w*n - 3*n**2 + 5*n + 4*n + n**2. -2*n*(n + 1) Let c(v) = -66*v**3 - 1314*v**2 - 11232*v - 10038. Let i(l) = -5*l**3 - 101*l**2 - 864*l - 772. Let a(y) = -2*c(y) + 27*i(y). Factor a(p). -3*(p + 1)*(p + 16)**2 Let i be (15/36)/((-1925)/(-231)*(-1)/(-5)). Factor -2 + 7/2*n - 3/4*n**2 - n**3 + i*n**4. (n - 4)*(n - 1)**2*(n + 2)/4 Let x(l) be the second derivative of l**4/20 + 6*l**3 + 270*l**2 + l - 21. Suppose x(r) = 0. What is r? -30 Let d(a) be the first derivative of -2*a**3/15 + 4*a**2/5 + 2*a - 30. Factor d(z). -2*(z - 5)*(z + 1)/5 Suppose -2*o + 4*j = 4, -130*o - 4*j = -134*o. Factor -1/10*r + 0 + 1/10*r**o. r*(r - 1)/10 Let l(z) be the second derivative of z**8/1344 - z**7/84 + z**6/16 - z**5/6 - 2*z**4/3 - 4*z. Let q(r) be the third derivative of l(r). What is n in q(n) = 0? 1, 4 Suppose 0 = 21*n + 135 - 261. Let y(c) be the
{ "pile_set_name": "DM Mathematics" }
number? True Suppose 18 = 3*r - 0. Is (-8 + r)*(-158)/4 prime? True Let u = 10 + -11. Is 3*(0 - u) + 218 a composite number? True Let h(q) = q + 12. Let k be h(-7). Let b(g) = 2*g**2 + 3*g + 2. Is b(k) prime? True Suppose 2*z + w = 1351, 0 = 2*z + 2*z - w - 2687. Is z a composite number? False Suppose 6044 = -27*n + 31*n. Is n composite? False Let p(x) = -2*x - 2. Let r(m) = -3*m - 2. Let b(d) = 5*p(d) - 6*r(d). Let k be b(5). Let q = -5 + k. Is q a composite number? False Let t = 162 - 88. Suppose k - 3*k + t = 0. Is k composite? False Suppose -3*d - d + 12 = 0. Let h be 101 - (-2 + d - 2). Let q = 149 - h. Is q a composite number? False Suppose d + 3*n - 23899 = -3*d, 5*n - 11967 = -2*d. Is d prime? False Is -19*(-2)/(6/21) prime? False Suppose -2290 = -7*l + 664. Is l a prime number? False Let h = -103 + 310. Let u = -116 + h. Is u a composite number? True Let v = 2 - 6. Is (74/v)/(1/(-14)) a prime number? False Let d be 5 - 1 - (-2 - 0). Is -430*(2 - 15/d) prime? False Let x = 103 - -46. Is x a composite number? False Suppose -5*r = -4*z + 1, 2*r + 3*z - 12 = 6. Suppose 4*l - 82 = -2*s, -r*l + 6*l + 244 = 5*s. Is s a prime number? True Let y(h) = -h**2 - 21*h + 3. Let q be y(-9). Suppose 0 = 4*u - 73 - q. Is u a prime number? False Let q = 1814 - 837. Is q composite? False Suppose 4*k + k - 45 = 0. Let g(c) = c**3 - 9*c**2 + 4*c + 19. Is g(k) prime? False Suppose 10*q = 8*q + 314. Is q composite? False Let v(p) = -p**3 - 19*p**2 - 3*p - 47. Is v(-20) a composite number? True Suppose -3*x + 8*x + 20 = 5*a, 0 = 4*a + x - 6. Let w be a - 0 - (-87 + 1). Suppose w = v + 3*v. Is v prime? False Suppose 0 = 5*h - 3*x - 15958, -h + 7*x = 3*x - 3195. Is h prime? True Is (-29)/((-2)/(9 - 3)) prime? False Is 4/14 + 12285/49 composite? False Suppose 0 = 4*z - 6*z + 2*v + 18, -z + 5*v + 25 = 0. Let p(j) = 4*j**2 + 3 - z*j**2 + 8. Is p(0) prime? True Let s = 1732 + -605. Suppose -5*t + 4*x + s = 0, -2*x - 782 = -3*t - 107. Is t composite? False Let y = -18 + -25. Let i = y - -87. Let s = i + -23. Is s a composite number? True Let s(m) = -m**3 - 4*m**2 - m - 11. Is s(-8) composite? True Let y be (3*2 - -2) + -1. Let z = y + -4. Is (-1)/3 - (-106)/z a prime number? False Let f = 378 + -91. Is f prime? False Let c be (-17)/((-12)/(-15) - 1). Suppose -4*v + 303 + c = 0. Is v a prime number? True Suppose -2*b + 9 = b, 0 = -5*r - 4*b + 1127. Is r prime? True Suppose -5*q - 4*w + 35 = 0, q + 3*w + 2*w - 28 = 0. Let z(u) = u**2 + 1 - q + 3. Is z(6) a composite number? False Let c(f) = -f**3 - 5*f**2 - 2*f - 4. Let g be c(-6). Suppose 0 = 2*j - 24 - g. Is j composite? True Let f(k) = k - 3. Let p be f(3). Is (-64)/(-4) - (p + 2) composite? True Let v(y) = 6*y**2 + 4*y - 6. Let n be (-4)/(-1)*1*1. Let l be v(n). Is (l/3)/(4/6) prime? True Let g = 10 - 6. Suppose 4*q - 529 = -3*b, -g*b = 2*q - 4*q + 270. Is q composite? True Let x = -30 + 20. Is (x/6)/((-4)/24) prime? False Suppose 703 = 4*r + 3. Suppose x - 3*s + 49 + 67 = 0, -3*x - 4*s - 374 = 0. Let i = x + r. Is i composite? False Let d(q) = q + 5. Let p be d(5). Suppose -5 = -3*s + p. Is 3/(-3) + 4*s composite? False Let h(v) = -727*v + 8. Is h(-3) prime? False Let b = 18 + -20. Let h(w) be the first derivative of -19*w**2/2 - 3*w - 1. Is h(b) a composite number? True Suppose -6*v - 10 - 2 = 0. Let u(s) = -374*s + 3. Is u(v) a prime number? True Let j(w) = 127*w - 3. Let a be j(2). Suppose -4*r - 4*q = -1036, -a = -4*r + 3*r - 3*q. Is r a composite number? False Let x(r) = r**2 - r + 1. Let o = -12 + 18. Is x(o) composite? False Let i(u) = 3 + 3*u**2 + 0*u**2 + 4*u - 4*u**2. Let w be i(4). Suppose -a - w*j = -52, 4*a - 3*j - 19 = 114. Is a a prime number? True Is (-3)/(-6) + (-1623)/(-6) a composite number? False Suppose 0 = -2*r - r + 378. Suppose l = -a - 0*a + 30, 4*a - r = 2*l. Is a a composite number? False Suppose 3*n = 4*x - 1218, 2*n + n = -6. Suppose 5*g - x = -2*b, g - 639 = -4*b + 2*g. Is b a composite number? True Let y = 1027 - -2962. Is y a composite number? False Is 206 - ((-24)/(-3) - 3) prime? False Suppose -4*r + 4*y + 1012 = 0, -4*y + 5*y = 1. Is r composite? True Suppose 0*x = -x + 149. Is x prime? True Suppose 0 = -0*v + 13*v - 7657. Is v a prime number? False Suppose -2*i - 2*i = -16. Let q(m) = m**2 + 12 - i - 1 + 5*m. Is q(-5) a composite number? False Let y(n) = -n**3 - 4*n**2 - 2*n. Let s be y(-3). Is s/6 + (-107)/(-2) prime? True Let k be (1905/9)/(2/(-6)). Let t = 966 + k. Is t a composite number? False Suppose 2*n + 2*w = 58, 89 - 22 = 3*n - 2*w. Suppose -3*i = -6 - 6. Suppose -i*m = m - n, 4*p = m + 311. Is p composite? False Suppose -4*r - 1 = 7. Let i be -2 + (-387)/2*r. Suppose 7*a - i = 2*a. Is a prime? False Let u be (5 - (1 - -3))*2. Let o(s) = 40*s - 4. Let g(w) = 40*w - 3. Let l(p) = 3*g(p) - 2*o(p). Is l(u) prime? True Let y = -168 + 344. Suppose -d - d + b + y = 0, 0 = d - 3*b - 83. Is d prime? True Suppose -7*j - 5245 + 19056 = 0. Is j a composite number? False Let n = 166 + -106. Let q = 22 - 19. Suppose -3*c + n = q. Is c a prime number? True Let j(g) = -g**3 + g**2. Let v be j(0). Suppose -5*d + a = -34, d + 2*a + 2 = -v*a. Is 136/6 - (-2)/d a prime number? True Let s(h) = 2*h - 11. Let p be s(8). Let o(u) = -u**3 + 7*u**2 - 7*u + 13. Let c(g) = -g**3 + 7*g**2 - 7*g + 12. Let f(m) = 6*c(m) - 5*o(m). Is f(p) composite? True Let o = 9 - 4. Suppose 2*v + 8 = -2*u, -2*v - u - 2 = o. Is ((-159)/(-2))/v*-2 composite? False Let u = 3819 + -1846. Is u prime? True Let p be (5 - 2)*20/6. Let m = -5 + p. Suppose 7*v - m*v = -8, 2*v = 4*z - 1044. Is z a composite number? True Suppose 4*p - 26 = -6, -3*p = 4*x - 4475. Is x prime? False Let j = -2 - -1. Is j*(-211)/4*4 a prime number? True Suppose 6*d = 14880 + 14562. Is d prime? False Suppose 4552 = 12*g - 4244. Is g a composite number? False Let c(k) = -18*k + 8. Let j(v) = -9*v + 4. Let g(t) = 6*c(t) - 13*j(t). Let a be (0 - 1)/((-2)/6). Is g(a) composite? False Let t = 1 - 4. Is (-142)/(-6) + 2/t a prime number? True Is ((-5222)/(-4))/((15/(-2))/(-15)) composite? True Let i be 288 + 3 + -2 + -1. Let g = -139 + i. Is g composite? False Let p be 2 - -290 - (2 + -1). Suppose -3*y - p = -6*y. Is y composite? False Suppose -20 = 5*f - 0*f, -5*f = c - 367. Let t be (-1)/2 + 19/(-2). Is 4/t - c/(-5) composite? True Let q = -105 + 184. Is q a prime number? True Let l be 0/(0 - -2) + -9. Let v(z) = -z**3 - 8*z**2 + 9*z + 10. Is v(l) a prime number? False Is 1/2 + 95985/18 a prime number? True Let a(x) = 8*x**2 - 4*x + 1. Is a(-3) composite? True Let w(m) = 6*m**2 + 9*m - 8. Is w(6) a composite number? True Suppose 0 = 4*q + 3*x - x - 8922, 3*q - 6694 = x. Is q prime? False Let h(q) be the second derivative of -31*q**3/6 - 3*q**2 + q. Is h(-7) a composite number? False Is ((-2)/(-6))/(4/2532) composite? False Let i = -1306 - -1945. Let o = i - 302. Is o a composite number? False Let l be 7/3 + (-1)/3. Suppose 0 = l*w - 55 + 11. Is w a composite number? True Suppose 1549 = 2*r - 5*q, 4*r + 157 = -3*q + 3320. Is r a prime number? True Suppose 137 = 4*q - 51. Is q composite? False Suppose 0 = f - 6*f + 15. Is 2 - (-65 + f - 3) composite? False Let d be (3/3)/(-1) + -1. Let g(r) = -6*r - 7. Let a be g(-7). Let b = a - d. Is b composite? False Let l(w) = 42*w - 7. Is l(3) a prime number? False Suppose 6 = -2*d + 5*d. Suppose -20 = 5*y, -3*v - 2*y = 2*y + 4. Suppose 4*t + 0*s - 226 = -d*s, 0 = v*s - 12. Is t prime? False Let q = 347 + -128. Is q a prime number? False Let t(n) = -120*n**3 + 2*n + 1. Let w = 8 - 9. Is t(w) a prime number? False Let r be (1/1)/(13/52). Let g = 3 + -2. Is r/g*5/2 a prime number? False Let t(z) = 214*z - 11. Is t(5) prime? False Suppose 5*j = -4*l + 2 - 22, 5*l = -4*j - 25. Let c(b) = -71*b - 3. Let v(f) = -36*f - 1. Let i(r) = 3*c(r) - 5*v(r). Is i(l) a composite number? True Suppose 0 = -4*q + 4, q = 2*o - 0*q + 1. Suppose c + o*b = 3*b + 4, 0 = -3*c + 3*b + 36. Let f = 39 + c. Is f a prime number? False Let l(a) be the second derivative of -a**4/12 - a**3 - 5*a**2/2 - a. Let b be l(-4). Suppose -b*y + 322 = -y. Is y prime? False Let w = -96 - -535. Is w prime? True Let u(h) = 33*h**2 + 13*h + 25. Is u(-8) a composite number? True Let f(i) be the second derivative of 7*i**4/6 - 7*i**3/6 - i**2/2 + i. Let b
{ "pile_set_name": "DM Mathematics" }
have the same value? False Let u(o) = -o**3 + 21*o**2 + 22*o. Let c be u(22). Is 0.0069 not equal to c? True Let y = -30.88 - -31. Let a = -29.12 + y. Let f = -26 - a. Is f at most 0? False Suppose 2*l = l + 10. Let h = 17 + -18. Which is greater: h or l? l Let g = 14/523 + 46491/2092. Which is smaller: g or -2/19? -2/19 Let x = -0.1 + 0.4. Let g = 0.2 - x. Let l = g - 0.1. Which is smaller: -1 or l? -1 Let y be 1/(-5)*455/364. Suppose m + 2 - 1 = 0. Let i = m + 0. Is i less than or equal to y? True Let f = -154 - -135. Which is bigger: f or -17? -17 Let o(k) = -16*k + 31. Let p be o(2). Which is smaller: p or -10/73? p Let j(u) = -u**3 + 3*u**2 + 3*u. Let n be j(4). Let x be 0/(-2 + (-3 - n)). Suppose -p - p + 5*o = 31, x = 4*p - 5*o + 37. Does 3 = p? False Let m = 286.271 - 0.271. Is m less than or equal to 2? False Suppose 0 = 4*x - 2*a - 18, 3*a + 23 = 4*x. Let m be 0/(((-28)/35)/((-4)/(-10))). Is x < m? False Let x be (3/(-46))/(2/4). Let d = -2388972/115 - -20774. Let a = d + x. Which is bigger: -1 or a? a Let u(q) = -q**3 - 3*q**2 + 3*q - 1. Let b be u(-4). Suppose 0 = 4*y - 5*k - 39, -17 - 22 = -5*y + b*k. Let l be (-1150)/(-250) - 2/(-5). Is l > y? False Let u(z) = -3*z - 3. Let w be u(7). Which is smaller: -7 or w? w Suppose 3*f + 62 = f + 2*g, -3*g + 35 = -f. Is f at most as big as -27? True Suppose 126*v = 108*v + 18. Let z = 3/464 + 1/16. Which is smaller: z or v? z Let f be (-3)/(-14)*(-558)/492*1. Let k = f - 2/287. Which is smaller: k or -2/81? k Let f = -8.42 + 0.12. Let c = 8.5 + f. Which is smaller: c or -0.29? -0.29 Let n be (-660)/121 + (-3)/((-6)/8). Which is smaller: n or -2? -2 Let w = -13 + 57. Suppose -4*u - 3*m = -w, 22 = 4*u - 4*m + 6. Which is greater: u or -2? u Let n(s) = -s**3 - 7*s**2 + 9*s + 11. Suppose 2*b - 4*i - 4 = 0, 2*i = 3*b - 3*i - 1. Let g be n(b). Suppose o - g*o = 0. Is o <= 4/9? True Let s(t) = 21*t**2 - 8*t - 5. Let h be s(3). Suppose -161*k = -h*k. Is 1/5 greater than k? True Suppose -56 - 92 = -5*b + 4*l, 2*l - 134 = -4*b. Which is greater: b or 34? 34 Let k be 2 - 2/(631330/(-12193663)). Let y = 5/63133 + k. Let t = y - 297/7. Which is smaller: -2 or t? -2 Let v(x) = -x + 1 + 2*x + 3. Let g be v(-3). Let m be (-1)/(-3)*(-21)/(-21). Which is greater: g or m? g Let f = -423/188254 - -2/1419. Which is greater: -1 or f? f Let j = -113 + 105. Let w be 2 + 0 - ((-231)/(-2))/11. Which is greater: j or w? j Let k be (-224)/22 - 2/(-11). Let x = -45 - -40. Let f be 12/x + 2 - (-1056)/(-110). Is f < k? False Let i = 725 - 667. Is 54 less than or equal to i? True Let q be (2 - 14)*(448/21)/(-8). Which is bigger: 31 or q? q Let d(w) = w + 43. Let o be d(-10). Is o <= 31? False Let h(y) = y**3 - 57*y**2 + 109*y + 57. Let z be h(55). Which is smaller: 34 or z? z Suppose 0 = 9*t - t + 16. Let o be (246/80 + (-21)/56)*t. Which is bigger: o or -4? -4 Let g be 6 + (-5313)/140 - 1/(-5). Are -31 and g unequal? True Suppose 0 = -4*d + 29 + 11. Let s be (-4)/d - 24/(-10). Is 6/7 > s? False Let d be (-1 - -4)/69*(7 - 5). Let w(q) = 2*q**2 - 3*q + 1. Let y be w(2). Let g be 3/(y/2) + -1. Is g bigger than d? True Let k = -566/7 + 81. Let x(t) = -2*t**2 - 7*t - 1. Let w(v) = -3*v**2 - 7*v - 1. Let i(d) = -3*w(d) + 4*x(d). Let f be i(7). Which is greater: k or f? k Let q = -7 - -10. Suppose u - q*a = -3*u - 67, u - a = -18. Let f = u - -191/15. Which is bigger: f or 1? 1 Suppose 3*n = -4*i + 27, -3*i + 11*n - 15*n + 22 = 0. Suppose 246 - 96 = 5*x. Let h be (-16)/70 - i/x. Is h at least -1? True Let t(a) = -236*a + 4. Let s be t(1). Let r be s/(-60) - (0 + (-4)/(-20)). Is 3 != r? True Let f = -67/155 - -1/31. Do 2/3 and f have different values? True Let q = 228 - 228.3. Which is greater: 3.4 or q? 3.4 Suppose -267*v - 24240 = -227*v. Is -1819/3 >= v? False Suppose -4*t - 10*c + 9 = -13*c, 3 = -5*t - c. Is t less than or equal to 5/4? True Let o(z) = 19*z + 2. Let p be o(-2). Let v = p - -322/9. Let x = 0.03 - 2.03. Which is smaller: x or v? x Suppose -23*a + 99 + 269 = 0. Is a at most 18? True Let m be (-1 - 1/3)*837/6. Is -187 < m? True Let v = 1149.8 + -1150. Which is smaller: v or -20? -20 Suppose -7*y + 748 = 769. Is -63/20 greater than y? False Let k(h) = 6*h - 3. Let g(l) = 12*l - 5. Let p(m) = 6*g(m) - 11*k(m). Let i be p(-3). Let w be (-1*(-8 + 4)*(-14)/(-2))/(-2). Which is smaller: i or w? i Let j(n) = -2*n**2 - 10*n + 10. Let a be j(-5). Let i be -5 - 5/a*-8. Is -8 greater than i? False Let w be (-23)/14*(-63)/9. Is -1 >= w? False Let y = -223 + 115. Are y and -110 equal? False Suppose 0 = 3*i - p - 4*p + 13, 0 = 4*p - 8. Which is smaller: -5/184 or i? i Suppose 8*k - 7*k + 114 = 5*j, 0 = 5*j - 5*k - 110. Is -10 >= j? False Suppose 19 = -40*z - 21. Are z and 3/737 unequal? True Suppose 2*x + 0 = -4*y - 16, 2*x = 2*y + 2. Suppose -2*z - 3*z = -5*m + 35, -4 = 2*m + 4*z. Suppose -3*b + 7 = j, 2*j - m*b - 5 = -7*b. Is j less than x? False Suppose 0 = 13*o - 1 - 12. Which is smaller: 6/115 or o? 6/115 Let m be -1 - (-2 + 10/22). Let o = -3.667 - -3.767. Which is greater: m or o? m Let b be ((-2)/(-2))/((-6)/30). Let q be 1 + 5/b - -2. Suppose -7 = q*s + 9. Is -8 less than s? False Let j be (-147)/35 - 3/(-15) - 3. Is j bigger than -29/4? True Suppose 60*v + 672 = 64*v. Suppose -v = -7*i + 126. Is 43 >= i? True Let m = 17.9872 - -0.0128. Let o = -0.6 + 0.3. Let f = o + 0.4. Are f and m nonequal? True Suppose k + 11 = -2*x, 0 = -k - 5*x - 36 + 10. Let y be (-3916)/27313 - 6/(-39). Is k at least as big as y? False Let n(h) = 3*h**3 + 2*h**2 - 3*h - 4. Let t be n(-2). Let i = t - -26. Let f be ((-40)/(-20))/(22/i). Is f at least as big as 0? True Let d be (-5)/18*7393/(-3385). Let x = d - -3/677. Let n = x - 10/9. Is n < -1? False Let z = -639 - -1892/3. Do -7 and z have the same value? False Let w(j) = -j**3 - 31*j**2 - 84*j + 7. Let t be w(-28). Are -4/3 and t nonequal? True Let d = 2.3 + -60.3. Let w = 54 + d. Which is bigger: -5 or w? w Let w = -2389 + 3551. Which is bigger: w or 1? w Suppose -5*l - 4 = -4*l + v, -3*l + 3*v + 18 = 0. Is -2/411 at most as big as l? True Let t = -157 - -472. Let c be (3*4/t)/((-36)/(-42)). Suppose 5*n = a + 2*a + 2, -5*n + 10 = 5*a. Is c > a? False Let f = 4.252 - 0.252. Which is smaller: -14 or f? -14 Let y = 139 - 193. Is y > -105/2? False Let u = -19240/19 - -1013. Is 0 greater than u? False Suppose -4*i - 8 = -4*r, 0 = 2*r - 0*r + 5*i - 11. Let x be 0/((-1)/(r/3)). Is x at most -3/11? False Let r = 112 - 140. Are r and -25 equal? False Let i = 2808 - 2803. Which is greater: 3/5 or i? i Let o be -19 - -10 - 2*-41. Does 77 = o? False Suppose 2*m + 1 = -2*h + 5, -4*m = 3*h - 9. Let n be (-11)/(-11) - h/(-4)*3. Let i = -3 + 2.9. Which is smaller: n or i? i Let t = -47 + 50. Suppose -3*f + t*f = -6*f. Which is smaller: f or 2? f Suppose -6*u + 10*u + 7*g = -17, -3*u = -2*g - 38. Let l = 1 + -0.8. Which is bigger: u or l? u Let t = 2987/15 - 199. Let q = 15.3 + -16.1. Let j = 1 + q. Is j < t? False Let i = -106 + 106.07. Which is bigger: 3 or i? 3 Let d(c) = -30*c - 1080. Let p be d(-36). Is p greater than or equal to -5/791? True Let h = 153.02 + -156. Let n = h - -2.7. Let o = 2.72 - n. Which is smaller: o or 0.04? 0.04 Let o = -24 + 23. Let m be 2 - o - 95/20. Which is smaller: m or -3? -3 Suppose -6*m = -m - 30. Suppose -1 = -5*h - m. Let c = 3 + -3. Is h <= c? True Let o = -0.7 - -15.7. Let q = 25 - o. Let w = -10.1 + q. Does 1 = w? False Let f be -9 - -6 - -13*1. Let a be (2/(-4))/(45/f). Suppose 3*w - 4*y = -19, -3*y + 17 = -5*w - 0*y. Is w greater than a? False Let k(a) = -3*a**2 - 1. Let l be k(-1). Let v(h) = 9 - 26 + 3*h - h**2 + 10 + 5. Let y be v(3). Which is bigger: l or y? y Suppose 22*i + 2 = 18*i - 2*m, 5*i = -3*m - 4. Is 7/29 less than i? True Let s = 13139/219 - 60. Is 5/2 < s? False Let v(l) = -10*l**3 + 3*l**2 - 2. Let y be v(2). Let p(g) = g**3 + 8*g**2 - 2*g - 8. Let z be p(-9). Is z <= y? True Let x(w) be the second derivative of w**4/12 - w**3/3 - 2*w**2 + 5*w. Let t be x(4). Suppose 5*k - 8 = -2*j, -k = -5*k + j - t. Which is bigger: 2/5 or k? 2/5 Let f = -309.8 - -309. Which is greater: -2/13 or f? -2/13 Let q be (-183)/(-1220)*1/((-2)/8). Which is smaller: -1 or q? -1 Let s(f) = f**3 - 5*f**2 - 7*f + 5. Let t be s(6). Let c be (-5742)/11224 - (-2)/8. Let
{ "pile_set_name": "DM Mathematics" }
12 + 69073 - 476397 = 0. Does 55 divide u? False Suppose 5*z + 2*o = -665, -126 - 273 = 3*z + 3*o. Let a = z - -23. Let i = 264 + a. Is 14 a factor of i? True Let d = -1676 - -2092. Let t = 16 + -10. Suppose t*u - 346 = d. Does 12 divide u? False Let g(r) be the first derivative of 280*r**3/3 + r**2/2 - r - 6. Let c be g(1). Let f = -142 + c. Does 18 divide f? False Suppose -2*m + 2 = 0, 3*f + 4*m - 3873 = -347. Is f a multiple of 5? False Suppose -v = 30*v + 5*v - 632808. Does 47 divide v? True Let m = 115 + -98. Suppose -m*t + 1 = -16*t. Is 16 a factor of (298/4)/(t/2) - -3? False Does 59 divide 2 + -2 - (-2136 + 17)? False Suppose 0 = 4*a - 12, m - 64*a + 67*a - 11949 = 0. Does 30 divide m? True Let a(v) = 39*v - 23. Let t(h) = 3*h - 12. Let w be t(6). Does 12 divide a(w)? False Suppose -14*z = -2617 + 153. Suppose 167*a = z*a - 10260. Does 60 divide a? True Suppose v - 3*l = 7047, 0 = -19*v + 17*v - 5*l + 14105. Is v a multiple of 11? False Let h(q) = q**2 + 6*q + 12. Let y(p) = p - 20. Let a be y(16). Let n be h(a). Suppose 4*d + 441 = 3*b + 113, 0 = -n*b + d + 446. Is 14 a factor of b? True Suppose 3403*l - 3429*l + 447848 + 7464 = 0. Is l a multiple of 8? True Let n be -51 + 19 + (-2 - 2/(-2)). Suppose 2*f + 5*t + 64 = 19, 2*f = 2*t - 66. Let i = f - n. Is 3 a factor of i? True Let r(k) = 8*k**2 + 10*k + 16. Suppose -2*g - 18 = q - 2, -5*g + 3*q - 40 = 0. Is 10 a factor of r(g)? False Suppose -20*i - 39681 = 6*i - 944897. Does 35 divide i? False Suppose 30*w - 28307 = 40663. Is 20 a factor of w? False Suppose -4*p - 11181 = -2*g + 13091, g = -2*p + 12140. Does 14 divide g? True Let c(w) = 3*w - 19. Let s be c(5). Is 13 a factor of 836/6*(-12)/s? False Suppose -387 = -2*i + 4*p - 29, 5*i = 4*p + 919. Suppose b + 5*m = i, 0 = -8*m + 11*m + 3. Is b a multiple of 13? False Is 114/1539 - 519904/(-108) a multiple of 343? False Let g(r) = -73*r**2 - 7*r - 2. Let s(k) = -k**2 + k. Let h(z) = -g(z) - 6*s(z). Let t be 2*(-2)/(-1) + -5. Is h(t) a multiple of 16? True Let k = -171 + 167. Is 14 a factor of -138*(k/4 - 12/9)? True Let h(o) = 3*o**2 - 7*o - 1. Let u be h(5). Suppose 64 - 16 = 3*c. Let b = u - c. Does 10 divide b? False Suppose t - 105 = -4*t. Let u(s) = -5*s**3 + s**3 + t + 18*s**2 + 6*s**3 - 3*s**3 - 14*s. Does 12 divide u(17)? True Let g be -4*4/104 + 10020/65. Suppose 150*y + 396 = g*y. Does 33 divide y? True Suppose 0 = -9*a + 8*a + 5. Suppose b = -a*b. Suppose 5*i - 175 = -5*g, -g + b + 41 = -2*i. Does 25 divide g? False Let z = -460 + 4200. Suppose -583 = -3*s + 4*x + 1661, 0 = -5*s + x + z. Is 44 a factor of s? True Let z = 211 - 209. Suppose -4*w = -i + 49, z*i + 3*w - 24 = 30. Is 33 a factor of i? True Suppose 4595390 = 115*l - 18*l + 60*l. Is 15 a factor of l? False Let f = -12666 - -20443. Does 77 divide f? True Suppose -k - 2 = -l, -2*k + 6*k + 4*l - 16 = 0. Let d = k + 35. Let g = -12 + d. Does 4 divide g? True Let q = -177 - -92. Let t = q + -14. Let h = -64 - t. Is h a multiple of 11? False Suppose -3971 = -15*d + 2749. Suppose -3*m = 2*i - 181, -5*i + 12*m - 15*m + d = 0. Does 7 divide i? False Let p(o) = 6*o**2 + 109*o - 13. Is p(13) a multiple of 39? True Let q = 2988 + -792. Is 2 a factor of q? True Let l = -43576 + 56302. Does 6 divide l? True Let l be (216/45)/12 + 56/10. Does 15 divide (16/(-12))/(-1) - (-1432)/l? True Let j = 45753 - 25038. Is 110 a factor of j? False Let i be 18/1 + (-21)/3 + 5. Let h(j) = -j**2 + 21*j - 13. Is 7 a factor of h(i)? False Let l = -3354 + 13155. Is l a multiple of 9? True Suppose -5*p + 544*o + 9679 = 543*o, -3*p - 4*o + 5812 = 0. Does 14 divide p? False Suppose -10*l + 667 = -723. Let v = -94 + l. Does 38 divide v? False Suppose 0 = -4*o + 5*k + 3833, -o - 4*o + 3*k + 4775 = 0. Suppose o*l = 945*l + 1827. Is l a multiple of 9? True Suppose z = -p - 2*p - 60, 3*p = -3*z - 60. Let n be 1/(-4) - 85/p. Suppose -l + 111 = -n*w, 0*w + w = -3*l + 359. Is l a multiple of 17? True Let r(t) be the third derivative of t**6/120 + 11*t**5/60 - t**4/3 - 7*t**3/6 + 233*t**2. Is 6 a factor of r(-9)? False Let d be 24/7 - 15/35. Suppose 11*m - d*j = 6*m + 21, 2*m - 4*j - 14 = 0. Suppose -3*w - 291 = -g - m*g, 2*g - 143 = -w. Does 25 divide g? False Let s be (-98)/(-5) - (-3 + 39/15). Suppose 0 = -u, 5*u + 163 = z + s. Let n = -105 + z. Does 38 divide n? True Let v(m) = 19*m**2 - 24*m + 18. Let c be v(10). Suppose -1683*h + 60 = -c*h. Does 3 divide h? True Let h be 23409/54 + 3/6*-3. Suppose h = 10*p - 7*p. Is 72 a factor of p? True Suppose -7*l = -4*l - 5*d - 12138, -7*d = -42. Is 39 a factor of l? True Suppose 15*o + 114*o - 534576 = 0. Is o a multiple of 28? True Let g = 95 + -35. Suppose -t + 62 = g. Suppose -5*m = -5*p - 465, -m + 83 = -t*p - p. Is 14 a factor of m? True Suppose -8 = 3*t - 7*t. Let o = 744 - 610. Suppose t*u - 138 = -5*d, 5*d + u = -0*d + o. Is 13 a factor of d? True Suppose 9*u + 67992 = -12*u + 214404. Is u a multiple of 196? False Let i be 6*(-7)/(84/(-8)). Suppose i*c - h = 189, -c - 7*h = -2*h - 21. Suppose -162 = -4*f + k - 0*k, 3*k + c = f. Is f a multiple of 14? False Let a = 148 + -148. Suppose a = 10*q - 144 + 14. Is 2 a factor of q? False Suppose 9 = -0*k - k + n, n + 11 = -4*k. Does 5 divide k/(-6) - 1180/(-30)? True Let b = 8016 + -1631. Let s(a) = 37*a + 6384 - 2*a**2 - b + 9*a. Is s(22) a multiple of 20? False Suppose -131*x = -121*x - 10. Is 36 a factor of 6 + 146 - (x*4)/2? False Suppose 5*a = 3*s - 6*s + 4545, -6*s + 3618 = 4*a. Is 19 a factor of a? True Suppose 0 = w + 17 + 43. Let l = w - -234. Suppose 586 - l = 4*n. Is 14 a factor of n? False Let a = 10077 - 3382. Is 13 a factor of a? True Let f(y) = 7*y - 13. Let h(i) = 3*i**2 - 4*i - 9. Let j(d) = 4*d**2 - 6*d - 14. Let u(c) = 7*h(c) - 5*j(c). Let l be u(0). Is f(l) a multiple of 12? True Let s = 42235 + 1610. Does 237 divide s? True Let m(r) be the third derivative of 25*r**4/24 + 155*r**3/6 - 58*r**2. Is m(7) a multiple of 22? True Suppose -n = -q + 6*n + 8096, 4*n - 32544 = -4*q. Is q a multiple of 47? True Let s(w) = 2*w**2 - 7*w - 50. Suppose g + 42 = -3*g - 2*a, 3*a - 37 = 4*g. Is s(g) a multiple of 22? True Suppose 0 = -2*y + 632 - 576. Suppose 22*k = y*k - 4638. Is 66 a factor of k? False Let u(d) be the third derivative of 311*d**6/120 + d**5/30 + d**3/6 + 135*d**2. Is u(1) a multiple of 13? False Suppose -2*r + 60 = 4*v - 164, 4*v = 4*r - 448. Let b = 112 - r. Suppose -f - 4*l + 184 = 0, f + b*f + 3*l = 181. Is f a multiple of 25? False Let i = 3 + -3. Suppose v = t, 4*v + t - 2*t - 15 = i. Suppose g - 3*g = -v*f - 196, -g - 5*f = -128. Is g a multiple of 15? False Suppose 2*m - 7*m + 82720 = 3*m. Is m a multiple of 22? True Suppose -1204 = -3*f + 2*f + 1245. Is f a multiple of 31? True Let u(j) = j**2 + 8*j - 414. Is 2 a factor of u(36)? True Let z = -113 - -119. Suppose z = 5*v - s - 18, 5*s - 30 = -5*v. Suppose m = -3*w + 50, -4*w - 53 + 248 = v*m. Does 19 divide m? False Let t(k) = 2*k - 22. Let i be t(4). Let d(n) = n**2 + 12*n - 29. Let r be d(i). Let o = 10 - r. Is o a multiple of 11? True Let u = 57 + -56. Let n be (u/(-3) - 1)/((-2)/(-21)). Does 14 divide 37*((-36)/48 - n/8)? False Suppose 2321 + 17005 = 40*w - 1314. Is w a multiple of 43? True Let k(j) = -j**3 - 2*j + 96. Let r(d) be the second derivative of -d**3/6 + 11*d**2 + 12*d. Let h be r(22). Is k(h) a multiple of 6? True Let h(z) = z**3 - 71*z + 10. Let c be h(8). Suppose 4*i - 8 = -0. Is (c/6 - -1)/(i/(-75)) a multiple of 35? False Suppose 3*v - 13 = -2*m, 0 = -0*v + 4*v - 12. Let s(y) = -3*y**m - 3*y + 17 + 2*y**2 - 2*y - 4*y. Is s(-6) a multiple of 12? False Does 79 divide 6700/12*15 + ((-12)/(-4) - -1)? False Suppose -21*b = -18*b + 6. Is 8 a factor of 275 + 0 - (30/6 + b)? True Let b(c) = 951*c**2 - 291*c - 1744. Does 82 divide b(-6)? False Let r(k) be the first derivative of k**3/3 - 3*k**2 + 8*k - 6. Let d be r(4). Suppose -4*u + d*u = -456. Is 19 a factor of u? True Let i = 12263 + -6127. Does 146 divide i? False Let l(z) = z**3 - 15*z**2 - 58*z + 78. Let u be l(18). Is 51 a factor of 0 + u - -1121 - 5? True Suppose s - 20*s + 456 = 0. Suppose 27*k - s*k = 1767. Does 19 divide k? True Suppose -25*k - 1258800 - 542904 = -148*k. Does 47 divide k? False Let c(n) = 13*n**3 - 36*n**2 + 3*n - 101. Is c(8) a multiple of
{ "pile_set_name": "DM Mathematics" }
*2 + 14*n + 4 Collect the terms in 3*q - 5 - 2 + 5 + 0 + 4. 3*q + 2 Collect the terms in -77*f**3 + 114*f**3 - 30*f**3. 7*f**3 Collect the terms in 3 + 55*q - 5*q**2 + 0*q**2 - 3 - 53*q. -5*q**2 + 2*q Collect the terms in -431*n + 709*n - 493*n. -215*n Collect the terms in -852*b + 277*b + 1033*b + 4421*b. 4879*b Collect the terms in 3 - 1 + 4 - 1879*j + 1897*j - 4. 18*j + 2 Collect the terms in 88*k**2 + 950767 - 88*k**2 - 950767 + 193*k**3. 193*k**3 Collect the terms in 8919*m**3 + 9*m**2 - 8917*m**3 + 0*m + 2*m**2 + 0*m. 2*m**3 + 11*m**2 Collect the terms in -84 + 10*q**2 - 3*q**2 + 4*q**2 + 82. 11*q**2 - 2 Collect the terms in -150*m - 154*m - 157*m + 626*m - 162*m. 3*m Collect the terms in -115*v**2 + 2796275 - 2796275. -115*v**2 Collect the terms in -6030 + 3019 + 50*s + 3012. 50*s + 1 Collect the terms in -151*b + 25*b + 0 - 15 + 15. -126*b Collect the terms in 37*m + 31*m**2 - 19*m**2 + 9*m - 5 + 5. 12*m**2 + 46*m Collect the terms in -12*v**2 - 18*v**2 + 9*v**2 + 39*v**2 - 12*v**2. 6*v**2 Collect the terms in 634*x + 747*x + 10872*x. 12253*x Collect the terms in 1802*f**3 - 3 + 0 + 3. 1802*f**3 Collect the terms in 30*p - 50*p + 35*p. 15*p Collect the terms in 22371*b**2 - 11219*b**2 - 11161*b**2. -9*b**2 Collect the terms in 12275*x + 12 - 12. 12275*x Collect the terms in 9218*r + 7932*r - 17146*r. 4*r Collect the terms in 69685*l - 69685*l + 5*l**2 + l**2. 6*l**2 Collect the terms in 0 - 6241*t**3 + 4 - 4. -6241*t**3 Collect the terms in 352*w**2 - 1040*w**2 - 2976 + 348*w**2 + 348*w**2 + 2976. 8*w**2 Collect the terms in -955*s**2 + 238*s**2 + 238*s**2 + 195*s**2 + 230*s**2. -54*s**2 Collect the terms in -4026*w + 7745*w - 3719*w + 2*w**3. 2*w**3 Collect the terms in -12 + 288*a - 239*a - 47*a. 2*a - 12 Collect the terms in 17*c + 217*c**2 - 11*c - 200*c**2. 17*c**2 + 6*c Collect the terms in 7 + 433*f**3 - 53 + 46. 433*f**3 Collect the terms in -33 + 6 + 67 - 44*p**2 - 40 - 47*p**2. -91*p**2 Collect the terms in 14*g**2 + 5*g**2 + 16*g**2 - 40*g**2 + 20*g**2. 15*g**2 Collect the terms in 602*s + 20*s + 163*s. 785*s Collect the terms in 72*z**3 - 200*z + 200*z. 72*z**3 Collect the terms in -77*j - 79*j - 83*j - 74*j + 310*j. -3*j Collect the terms in 1695*s**2 - s**3 - s**3 - s + s. -2*s**3 + 1695*s**2 Collect the terms in 12 + 11*f - 20*f + 20 + 6*f + 5*f. 2*f + 32 Collect the terms in -202*y**2 + 20 + 19 - 39. -202*y**2 Collect the terms in -15 + 15 + 1863*f - 507*f. 1356*f Collect the terms in -991*j + 3*j**2 - 999*j + 1958*j - 4*j**2. -j**2 - 32*j Collect the terms in -68*b**2 - 13062 + 13062 + 15*b**3. 15*b**3 - 68*b**2 Collect the terms in -435585 + 217796 + 217789 - 3*r**3. -3*r**3 Collect the terms in -13*b - 26 - 21 - 12*b + 48. -25*b + 1 Collect the terms in -4 - 3*y + 4 - 70*y**3 + 26*y**2. -70*y**3 + 26*y**2 - 3*y Collect the terms in -2999*y + 2994*y + 47 - 47. -5*y Collect the terms in -5*o**2 + 37 + 65 + 71 - 174 + 2*o - 2*o. -5*o**2 - 1 Collect the terms in -10 + 213*b**2 + 10 - 157*b**2. 56*b**2 Collect the terms in 49*m**3 + 8*m**2 - 40*m**3 - 4*m**3. 5*m**3 + 8*m**2 Collect the terms in 95 + 3*f - 183 - f + 88 - f. f Collect the terms in 10*o**2 + 6*o**2 + 1 - 8*o**2 + 67*o**2. 75*o**2 + 1 Collect the terms in -689*s**2 - 693*s**2 + 3476*s**2 - 694*s**2 - 691*s**2 - 701*s**2. 8*s**2 Collect the terms in 1607*y**2 - 1607*y**2 + 82*y**3 - 79*y**3. 3*y**3 Collect the terms in 2 - 4 + 4 - 390*z**3 - 2. -390*z**3 Collect the terms in 18*c + 8*c + 18*c + 132. 44*c + 132 Collect the terms in 38*j + 13*j**2 + 8*j**2 - 20*j**2 - 38*j + 0*j**2. j**2 Collect the terms in -2168*l - 2158*l - 2156*l + 8637*l - 2149*l. 6*l Collect the terms in -75 + 135 - 12*j**2 - 60 + 6*j**3. 6*j**3 - 12*j**2 Collect the terms in -2 + 7*y + 3 - 16*y - 3 - 41*y. -50*y - 2 Collect the terms in -7968665 - 56*t**2 + 7968665. -56*t**2 Collect the terms in -1803 + 4*v**3 - 1810 + 7225 - 1800 - 1812. 4*v**3 Collect the terms in -11574*y**3 + 66331*y**3 + 19791*y**3. 74548*y**3 Collect the terms in -75*r**2 - 165*r**3 + 157*r**3 + 75*r**2. -8*r**3 Collect the terms in -112 - 111 + 223 - 33*d**2. -33*d**2 Collect the terms in -51*g - 10*g - 5 + 25*g - 3*g + 5. -39*g Collect the terms in 13*f**3 - 3*f**3 + 259*f**2 - 298*f**2 + f**3. 11*f**3 - 39*f**2 Collect the terms in 70*t + 1474*t**2 - 1476*t**2 + 32*t - 19*t. -2*t**2 + 83*t Collect the terms in -84 + 84 + 3*m + 284*m**2. 284*m**2 + 3*m Collect the terms in -1 - 467*p**3 + 0 - 61*p**2 + 61*p**2. -467*p**3 - 1 Collect the terms in 0 - 20 + 14*z**3 + 20. 14*z**3 Collect the terms in -10353*z**3 + 31*z**2 - 31*z**2. -10353*z**3 Collect the terms in 801*t**2 + 0*t**3 - 1361*t**2 + 560*t**2 - t**3. -t**3 Collect the terms in -k**3 + 38*k**2 - 19*k**2 - 271886 + 271886 - 19*k**2. -k**3 Collect the terms in -30*s**3 + 29*s**3 - 2604*s**2 - 2605*s**2 - 2596*s**2 + 7805*s**2. -s**3 Collect the terms in -4*a**3 + 8616382*a**2 - 8616382*a**2. -4*a**3 Collect the terms in q - 3552688 + 3552688. q Collect the terms in -2201 - 20*n + 1108 + 1093. -20*n Collect the terms in -22*b**3 + 7*b - 199*b**3 + 4*b**3 - 124*b**3. -341*b**3 + 7*b Collect the terms in 56648*c**2 - 35 + 35 - 56644*c**2. 4*c**2 Collect the terms in -13*z**2 - 151 + 2*z + 11*z**2 + 151. -2*z**2 + 2*z Collect the terms in -27*p + 83*p - 59*p. -3*p Collect the terms in -2 + 1 - 140*j + 63*j + 53*j. -24*j - 1 Collect the terms in 66 + 154*x - 51 - 108*x + 323*x. 369*x + 15 Collect the terms in -7*u**2 + 1755*u - 1755*u - 5*u**2 - 4*u**2. -16*u**2 Collect the terms in -2 - 318*f + 248*f - 1. -70*f - 3 Collect the terms in 2 + 7 - 1246*r + 1243*r - 25 + 16. -3*r Collect the terms in 2516*x**3 - 5084*x**3 + 2528*x**3. -40*x**3 Collect the terms in 3*v - 9 + 11 + 8 + 21 + 6*v. 9*v + 31 Collect the terms in 8*w**2 + 234567 - 469159 + 234592. 8*w**2 Collect the terms in 17 + 0 - 194*a - 35*a - 17. -229*a Collect the terms in 64 + 68 - 132 - t. -t Collect the terms in 25*n**3 + 452*n**2 + 24 - 211*n**2 - 241*n**2 - 24. 25*n**3 Collect the terms in 5 - 19 - 26*o**3 + 14 + 13*o**3. -13*o**3 Collect the terms in -40093902 - 7*c**2 + 40093902 + 14*c**2. 7*c**2 Collect the terms in 6*s**2 - 2*s**3 - 5903 + 6*s**2 + 5903. -2*s**3 + 12*s**2 Collect the terms in 40*q**3 - 42*q**3 + 4596534693*q - 4596534693*q. -2*q**3 Collect the terms in 4*f - 15*f**3 - 158970*f**2 - 4*f + 158970*f**2. -15*f**3 Collect the terms in 4 - 5825*x + 2921*x - 4 + 2908*x. 4*x Collect the terms in 7020*u - 14036*u + 7024*u. 8*u Collect the terms in 26 - 38 - 3*k + 4 + 8. -3*k Collect the terms in 13*u**2 - 5*u + 6*u**2 + u + 7*u - 4*u**2. 15*u**2 + 3*u Collect the terms in -37*z**2 + 32*z**2 + 2*z + 5*z. -5*z**2 + 7*z Collect the terms in -1982*u**3 + 3984*u**3 - 2000*u**3. 2*u**3 Collect the terms in 20*f - 97*f + 39*f + 15*f + 14*f. -9*f Collect the terms in -484*d + 2 - 6 + 488*d. 4*d - 4 Collect the terms in -23556*t + 5734 + 23584*t - 5734. 28*t Collect the terms in -24 + 58 + 6*h - 16 - 24 - h. 5*h - 6 Collect the terms in -15*d + 834 - 1665 + 830. -15*d - 1 Collect the terms in -53*f**2 - 38*f**2 + 127*f**2 - 42*f**2. -6*f**2 Collect the terms in 178541 - 178541 + 16*u**2. 16*u**2 Collect the terms in 111*c - 786*c + 48*c - 476*c. -1103*c Collect the terms in 13*j + 22*j - 91*j + 15*j + 39*j. -2*j Collect the terms in 343*a - 8*a**2 - 672*a + 341*a. -8*a**2 + 12*a Collect the terms in -3 + 1 - 2929*u + 2827*u. -102*u - 2 Collect the terms in 629*v**3 + 70*v**3 - 749*v**3 + 73*v**3. 23*v**3 Collect the terms in -3*t - 6*t + 43454 - 43454 + 6*t. -3*t Collect the terms in -741 + 4*t - 424 + 2003 - 6*t - 422 - 416. -2*t Collect the terms in -8925 + 4578 + 4347 - 6*q + 2*q**2. 2*q**2 - 6*q Collect the terms in -11000 - 2*x + 3662 + 3664 + 3663. -2*x - 11 Collect the terms in 2*w**3 + 112 - 155 + 649 + 0*w**3. 2*w**3 + 606 Collect the terms in 1 + 17 + 1043*x - 13 - 5. 1043*x Collect the terms in 79*b - 242*b + 98*b + 130*b. 65*b Collect the terms in 10*i**2 - 2*i**2 - 5*i**3 + 3*i**3 - 23 - 10. -2*i**3 + 8*i**2 - 33 Collect the terms in -78*o**2 + 188*o**2 - o**3 - 82*o**2. -o**3 + 28*o**2 Collect the terms in 7274*x - 3646*x - 3625*x. 3*x Collect the terms in -742*t - 720*t + 1457*t. -5*t Collect the terms in -80 - 5*d**2 - 2*d**2 - 2*d**2 + 189 - 109. -9*d**2 Collect the term
{ "pile_set_name": "DM Mathematics" }
70, -194881, -265212? -5410*z**2 - z - 115 What is the n'th term of 249766, 250754, 251744, 252736, 253730, 254726, 255724? n**2 + 985*n + 248780 What is the d'th term of 19166109, 38332219, 57498343, 76664487, 95830657, 114996859? d**3 + d**2 + 19166100*d + 7 What is the t'th term of -5513, -11130, -17105, -23618, -30849, -38978, -48185, -58650? -30*t**3 + t**2 - 5410*t - 74 What is the p'th term of -77542216, -155084437, -232626658, -310168879, -387711100? -77542221*p + 5 What is the d'th term of 338, 2697, 9110, 21593, 42162, 72833, 115622? 336*d**3 + 11*d**2 - 26*d + 17 What is the o'th term of 7419782, 14839568, 22259354, 29679140, 37098926? 7419786*o - 4 What is the d'th term of -1092981, -2185968, -3278955? -1092987*d + 6 What is the g'th term of 246836, 492582, 738328, 984074? 245746*g + 1090 What is the o'th term of -593253, -593251, -593249? 2*o - 593255 What is the q'th term of 1213416, 2426847, 3640278, 4853709, 6067140, 7280571? 1213431*q - 15 What is the n'th term of 5844, 11456, 16844, 22008? -112*n**2 + 5948*n + 8 What is the t'th term of -116051532, -116051539, -116051550, -116051565, -116051584, -116051607? -2*t**2 - t - 116051529 What is the p'th term of 3429, 6317, 8657, 10449, 11693, 12389? -274*p**2 + 3710*p - 7 What is the n'th term of 11465, 12172, 13073, 14264, 15841, 17900, 20537, 23848? 16*n**3 + n**2 + 592*n + 10856 What is the n'th term of -217, -1463, -4571, -10387, -19757, -33527, -52543? -141*n**3 - 85*n**2 - 4*n + 13 What is the d'th term of 2108137, 2108138, 2108139, 2108140, 2108141? d + 2108136 What is the m'th term of -286252, -286184, -286134, -286102, -286088, -286092, -286114? -9*m**2 + 95*m - 286338 What is the p'th term of -3155, -24913, -83963, -198947, -388507, -671285, -1065923, -1591063? -3107*p**3 - 4*p**2 + 3*p - 47 What is the c'th term of -128450020, -128450019, -128450018, -128450017, -128450016? c - 128450021 What is the k'th term of -510, -368, -292, -312, -458? -5*k**3 - 3*k**2 + 186*k - 688 What is the c'th term of 2755384, 5510757, 8266130, 11021503, 13776876? 2755373*c + 11 What is the m'th term of -26825, -107364, -241621, -429596, -671289? -26859*m**2 + 38*m - 4 What is the k'th term of -1033, -4141, -9389, -16777, -26305? -1070*k**2 + 102*k - 65 What is the o'th term of -145, -312, -479, -646, -813? -167*o + 22 What is the u'th term of -10604290, -21208582, -31812874? -10604292*u + 2 What is the y'th term of -72178, -144399, -216670, -288997, -361386? -y**3 - 19*y**2 - 72157*y - 1 What is the y'th term of -218660, -219656, -220652? -996*y - 217664 What is the p'th term of 86052898, 86052908, 86052932, 86052976, 86053046, 86053148? p**3 + p**2 + 86052896 What is the p'th term of -3632, -7755, -12352, -17417, -22944, -28927, -35360, -42237? p**3 - 243*p**2 - 3401*p + 11 What is the p'th term of -15865, -32543, -49221, -65899, -82577? -16678*p + 813 What is the o'th term of -6106108, -6106110, -6106112, -6106114, -6106116, -6106118? -2*o - 6106106 What is the l'th term of -1063970, -2127918, -3191852, -4255766, -5319654, -6383510? l**3 + l**2 - 1063958*l - 14 What is the i'th term of -57289, -229169, -515637, -916693? -57294*i**2 + 2*i + 3 What is the d'th term of 96040, 96181, 96320, 96457? -d**2 + 144*d + 95897 What is the v'th term of 76268, 151993, 227716, 303437? -v**2 + 75728*v + 541 What is the x'th term of -27897, -111438, -250677, -445614, -696249, -1002582? -27849*x**2 + 6*x - 54 What is the a'th term of 101889879, 203779768, 305669657? 101889889*a - 10 What is the y'th term of 2465, 3524, 5309, 7832, 11105, 15140, 19949? 2*y**3 + 351*y**2 - 8*y + 2120 What is the s'th term of -279027, -279025, -279043, -279087, -279163, -279277, -279435, -279643? -s**3 - 4*s**2 + 21*s - 279043 What is the m'th term of 428, 3585, 12248, 29183, 57156, 98933, 157280? 461*m**3 - 13*m**2 - 31*m + 11 What is the d'th term of 7011, 15202, 24571, 35118? 589*d**2 + 6424*d - 2 What is the v'th term of 724327333, 724327330, 724327325, 724327318, 724327309, 724327298? -v**2 + 724327334 What is the d'th term of -217153, -217151, -217149, -217147? 2*d - 217155 What is the w'th term of -29711264, -29711256, -29711242, -29711222, -29711196, -29711164? 3*w**2 - w - 29711266 What is the n'th term of -5663, -6644, -7615, -8570, -9503, -10408? n**3 - n**2 - 985*n - 4678 What is the l'th term of -1445210, -2890427, -4335658, -5780909, -7226186, -8671495, -10116842, -11562233? -l**3 - l**2 - 1445207*l - 1 What is the c'th term of 16134351, 32268694, 48403037, 64537380, 80671723, 96806066? 16134343*c + 8 What is the s'th term of -12762, -25575, -38480, -51525, -64758, -78227? -8*s**3 + 2*s**2 - 12763*s + 7 What is the z'th term of -87016848, -87016845, -87016840, -87016833, -87016824, -87016813? z**2 - 87016849 What is the h'th term of -85650, -167815, -249982, -332151? -h**2 - 82162*h - 3487 What is the b'th term of -80610, -161152, -241692, -322230, -402766? b**2 - 80545*b - 66 What is the g'th term of -899940, -899937, -899934, -899931, -899928? 3*g - 899943 What is the d'th term of 246376, 985216, 2216616, 3940576, 6157096, 8866176, 12067816? 246280*d**2 + 96 What is the m'th term of 105801362, 211602725, 317404090, 423205457? m**2 + 105801360*m + 1 What is the w'th term of 651877, 651913, 651949? 36*w + 651841 What is the q'th term of -13597, -27457, -41253, -54979, -68629, -82197, -95677? q**3 + 26*q**2 - 13945*q + 321 What is the a'th term of -23478, -89338, -199106, -352782, -550366? -21954*a**2 + 2*a - 1526 What is the u'th term of 33292, 57061, 80830, 104599, 128368, 152137? 23769*u + 9523 What is the a'th term of -1198065, -1198348, -1198631, -1198914, -1199197? -283*a - 1197782 What is the t'th term of 3198, 12783, 28686, 50847, 79206, 113703? -10*t**3 + 3219*t**2 - 2*t - 9 What is the t'th term of -305, -301, -149, 217, 863, 1855, 3259? 11*t**3 + 8*t**2 - 97*t - 227 What is the b'th term of 10415, 41641, 93685, 166547, 260227, 374725, 510041? 10409*b**2 - b + 7 What is the g'th term of -348077, -695700, -1043323? -347623*g - 454 What is the b'th term of -1036534, -1036547, -1036560, -1036573? -13*b - 1036521 What is the d'th term of -1066, -2236, -3586, -5206, -7186? -15*d**3 - 1065*d + 14 What is the i'th term of 3954525, 7909051, 11863579, 15818109, 19772641? i**2 + 3954523*i + 1 What is the j'th term of -497299857, -497299855, -497299851, -497299845, -497299837? j**2 - j - 497299857 What is the g'th term of -4064, -7459, -10856, -14255, -17656, -21059, -24464? -g**2 - 3392*g - 671 What is the b'th term of 69, 1087, 3893, 9381, 18445? 149*b**3 - 25*b - 55 What is the g'th term of 3459681, 3459685, 3459689, 3459693, 3459697? 4*g + 3459677 What is the i'th term of -538720, -2154832, -4848314, -8619136, -13467268? 5*i**3 - 538715*i**2 - 2*i - 8 What is the m'th term of 3175815, 3175754, 3175693, 3175632, 3175571? -61*m + 3175876 What is the v'th term of 1862, 2256, 2878, 3722, 4782, 6052, 7526, 9198? -v**3 + 120*v**2 + 41*v + 1702 What is the v'th term of 8765, 34395, 76887, 136241? 8431*v**2 + 337*v - 3 What is the z'th term of -569475, -4556308, -15377715, -36450984, -71193403? -569548*z**3 + z**2 + 72 What is the j'th term of 4537679, 4537624, 4537533, 4537406, 4537243, 4537044? -18*j**2 - j + 4537698 What is the k'th term of -162, -618, -1412, -2592, -4206, -6302, -8928, -12132? -8*k**3 - 121*k**2 - 37*k + 4 What is the n'th term of 193823, 1562641, 5278001, 12513173, 24441427? 195545*n**3 + n**2 - 1723 What is the h'th term of 19811532, 39623069, 59434606? 19811537*h - 5 What is the q'th term of -473429, -473433, -473437? -4*q - 473425 What is the l'th term of -46643, -46639, -46633, -46625, -46615? l**2 + l - 46645 What is the l'th term of -1346056, -1345610, -1345164, -1344718? 446*l - 1346502 What is the a'th term of 21224, 46626, 72028? 25402*a - 4178 What is the h'th term of 1790951, 1790923, 1790895, 1790867? -28*h + 1790979 What is the n'th term of -74095, -74083, -74055, -74005, -73927, -73815, -73663, -73465? n**3 + 2*n**2 - n - 74097 What is the q'th term of -120, -1038, -3570, -8532, -16740, -29010, -46158? -136*q**3 + 9*q**2 + 7*q What is the p'th term of 53141, 62810, 72479, 82148? 9669*p + 43472 What is the w'th term of 10514, 42430, 95790, 170600, 266866? w**3 + 10716*w**2 - 239*
{ "pile_set_name": "DM Mathematics" }
scending order. 3, 0.3, -0.1, -8 Sort 8, 7, 4, 1 in descending order. 8, 7, 4, 1 Sort -4, 1, 0, 4, -13 in descending order. 4, 1, 0, -4, -13 Sort 6, 4, -172 in decreasing order. 6, 4, -172 Put -5, 0, -5417 in ascending order. -5417, -5, 0 Sort -49, -1, 13 in decreasing order. 13, -1, -49 Put 55, -4, 1, -1 in decreasing order. 55, 1, -1, -4 Sort 14, -0.2, -0.03, -1/8 in descending order. 14, -0.03, -1/8, -0.2 Sort 0, -0.4, -2, -4/5 in decreasing order. 0, -0.4, -4/5, -2 Put -0.2, 9, -1, 21 in ascending order. -1, -0.2, 9, 21 Sort -1, -5, -216. -216, -5, -1 Sort -2, -5, -4, 74. -5, -4, -2, 74 Put -15, 4, -1, 3 in decreasing order. 4, 3, -1, -15 Put 13, -4/5, -5, 0.2 in increasing order. -5, -4/5, 0.2, 13 Put -1/6, -5, 1.38, -0.5 in decreasing order. 1.38, -1/6, -0.5, -5 Put -0.085, 0.03, 2/7, 4 in descending order. 4, 2/7, 0.03, -0.085 Put -135, 1, -3 in decreasing order. 1, -3, -135 Put 7, 15, -4, 1 in ascending order. -4, 1, 7, 15 Sort -4, 0.4, -93 in decreasing order. 0.4, -4, -93 Sort -1, 3, 23, -3, -5 in decreasing order. 23, 3, -1, -3, -5 Sort 34, 2/7, -242 in descending order. 34, 2/7, -242 Sort 609, 0, -1 in ascending order. -1, 0, 609 Sort -4, -3, 12, 19 in increasing order. -4, -3, 12, 19 Sort -4, 0, 2, 95 in descending order. 95, 2, 0, -4 Sort 0.1, 22, 12, -4 in descending order. 22, 12, 0.1, -4 Put -2/7, -4, 0.1, 6/5, -2/9 in descending order. 6/5, 0.1, -2/9, -2/7, -4 Sort 1/4, 2, 0.01 in descending order. 2, 1/4, 0.01 Sort -354, -2, -4 in decreasing order. -2, -4, -354 Put 1, -5, -49 in ascending order. -49, -5, 1 Sort 1.5, -3, -4, -1 in decreasing order. 1.5, -1, -3, -4 Put -109, -2, -4, 1 in descending order. 1, -2, -4, -109 Sort -25, 4, 2 in ascending order. -25, 2, 4 Sort -1, -5, 651 in increasing order. -5, -1, 651 Sort -3, -390, -1 in decreasing order. -1, -3, -390 Put 39, -4, -5, -3 in increasing order. -5, -4, -3, 39 Put -34, -0.1, 0.2, 6/11 in decreasing order. 6/11, 0.2, -0.1, -34 Put 0.3, 0.02, -5, 2/5 in increasing order. -5, 0.02, 0.3, 2/5 Put 1, -47, 5 in decreasing order. 5, 1, -47 Sort 23, -2/21, -1.3, 3 in ascending order. -1.3, -2/21, 3, 23 Sort -5, 2, 4, 5 in decreasing order. 5, 4, 2, -5 Sort 4, 0, 6, -8, -11 in decreasing order. 6, 4, 0, -8, -11 Put 1, -32, -2, 3 in ascending order. -32, -2, 1, 3 Sort -2, -5, 23, 0 in descending order. 23, 0, -2, -5 Sort 1, -7, 5, 0 in increasing order. -7, 0, 1, 5 Put -5, 5/6, -1.4, 0 in increasing order. -5, -1.4, 0, 5/6 Put -30.7, 0.2, 1/4 in increasing order. -30.7, 0.2, 1/4 Put 1, -2, 2, 5, -6 in descending order. 5, 2, 1, -2, -6 Put 3, -3, 18 in descending order. 18, 3, -3 Put -238, -1/5, 5, 2 in increasing order. -238, -1/5, 2, 5 Put 2, 535, -2, 0 in descending order. 535, 2, 0, -2 Put 19, -1, -3/20, 1 in ascending order. -1, -3/20, 1, 19 Sort -3, 1, -2, 3. -3, -2, 1, 3 Put -1, 1, 0.7, 0.5, 0.1 in decreasing order. 1, 0.7, 0.5, 0.1, -1 Put 0, -13, -4, -1, -3 in increasing order. -13, -4, -3, -1, 0 Put -8.2, 4, -0.5 in descending order. 4, -0.5, -8.2 Sort -0.1, -9, 2/107, 0.2, -2 in increasing order. -9, -2, -0.1, 2/107, 0.2 Put 0.2, -5, 10.8 in increasing order. -5, 0.2, 10.8 Sort 0, -1, -288 in ascending order. -288, -1, 0 Sort 2, 0, 0.06, -4. -4, 0, 0.06, 2 Sort 5, -0.5, -0.1558. -0.5, -0.1558, 5 Sort -1, 2, -16, 3, -5. -16, -5, -1, 2, 3 Sort -3/2, 3/5, 0.12, -0.2, 5 in decreasing order. 5, 3/5, 0.12, -0.2, -3/2 Sort 5, -245, 2. -245, 2, 5 Sort -1, 0.06, 0.03, 0.2, -3 in increasing order. -3, -1, 0.03, 0.06, 0.2 Put 30, -1/5, 2/5, 5 in increasing order. -1/5, 2/5, 5, 30 Sort 5, 3, -2, -23 in ascending order. -23, -2, 3, 5 Sort 3/5, -5, 5, 38 in descending order. 38, 5, 3/5, -5 Put -2.8, -1/7, -3, -1/6 in descending order. -1/7, -1/6, -2.8, -3 Put -1, -4, -11, 5, 4 in descending order. 5, 4, -1, -4, -11 Sort -1, 0, 7, -5 in ascending order. -5, -1, 0, 7 Put 2, -11, -59, 5 in ascending order. -59, -11, 2, 5 Put 6, -1, -2, 5 in increasing order. -2, -1, 5, 6 Put 2/13, -2, 0.04, 2, -5 in descending order. 2, 2/13, 0.04, -2, -5 Put 1, -28, -4, 45 in descending order. 45, 1, -4, -28 Put -6, 232, 3, -3 in increasing order. -6, -3, 3, 232 Put -4, 2, -5, -9, -2/7 in descending order. 2, -2/7, -4, -5, -9 Put 4, -1, -0.1, -4 in decreasing order. 4, -0.1, -1, -4 Sort -7, -2, 3 in decreasing order. 3, -2, -7 Sort 5, 2/421, -2/9, 3/7. -2/9, 2/421, 3/7, 5 Put -2/11, -0.5, 71/14, 2/5 in ascending order. -0.5, -2/11, 2/5, 71/14 Put -35, 10, 5 in increasing order. -35, 5, 10 Sort -1, 0.5, 49 in descending order. 49, 0.5, -1 Put 0.4, 3, -2, 4, -3.65 in descending order. 4, 3, 0.4, -2, -3.65 Put -0.3, 9, 1, 0.7 in ascending order. -0.3, 0.7, 1, 9 Sort -3, -5, -2, 4, 7 in descending order. 7, 4, -2, -3, -5 Sort -1/2, -0.4, 3.42, 3, -1/3. -1/2, -0.4, -1/3, 3, 3.42 Sort -1, 0, 24 in descending order. 24, 0, -1 Sort -51, 1, 33 in descending order. 33, 1, -51 Sort -5, 5, 0, 1, -3. -5, -3, 0, 1, 5 Put -2/11, 0.3, -11.8, 3/8 in ascending order. -11.8, -2/11, 0.3, 3/8 Sort 0, 33/7, -3. -3, 0, 33/7 Put -5, 1, 5, -4, -42 in decreasing order. 5, 1, -4, -5, -42 Put 3, 0, -778 in ascending order. -778, 0, 3 Sort 2/11, 82/7, -0.3 in descending order. 82/7, 2/11, -0.3 Sort 2/5, 0, 3, -248. -248, 0, 2/5, 3 Sort 0.2, -1/3, 246, 5, -0.2. -1/3, -0.2, 0.2, 5, 246 Put -1/2, -3, 5, -98 in decreasing order. 5, -1/2, -3, -98 Sort -6101, 2, -3 in descending order. 2, -3, -6101 Sort 2, 0, -2/29, -1/42 in descending order. 2, 0, -1/42, -2/29 Put 24, -6, 0 in decreasing order. 24, 0, -6 Sort -4, -2, -29 in descending order. -2, -4, -29 Put 2, -26, 1, -9 in decreasing order. 2, 1, -9, -26 Put -0.05, -3, -28, 0.6 in descending order. 0.6, -0.05, -3, -28 Sort 1/6, 21, -17/2, 1/3, 1/4. -17/2, 1/6, 1/4, 1/3, 21 Sort 4/5, 6/5, 4, 2 in ascending order. 4/5, 6/5, 2, 4 Sort -0.25, -3, 3/7, -0.3. -3, -0.3, -0.25, 3/7 Put -3, -4/7, -1, -2/9 in descending order. -2/9, -4/7, -1, -3 Sort 0.3, -15, 20 in decreasing order. 20, 0.3, -15 Sort 2, -17, -2 in decreasing order. 2, -2, -17 Put 0.1, 0.2, 0 in ascending order. 0, 0.1, 0.2 Sort 3/7, 16, 4, 3/2, -0.1 in ascending order. -0.1, 3/7, 3/2, 4, 16 Sort 4, 5, 0, -177 in decreasing order. 5, 4, 0, -177 Put 56/5, 5/2, 2/9, 0.4, -2/9 in descending order. 56/5, 5/2, 0.4, 2/9, -2/9 Sort 20, 4, -15 in ascending order. -15, 4, 20 Sort -3, -2, 2, 6. -3, -2, 2, 6 Put 4, 0, -19 in ascending order. -19, 0, 4 Sort 1/2, 0.3, 2/7, 192. 2/7, 0.3, 1/2, 192 Put -1/5, 3/19, 2, -6, -4 in decreasing order. 2, 3/19, -1/5, -4, -6 Put 0.1, 0.3, -4, 13 in decreasing order. 13, 0.3, 0.1, -4 Put -0.4, -0.3, -1, -3, -55/3 in ascending order. -55/3, -3, -1, -0.4, -0.3 Sort 7, 2, 36 in descending order. 36, 7, 2 Put 4, -2, -3, 0 in descending order. 4, 0, -2, -3 Put -5, 11, -13 in descending order. 11, -5, -13 Put 2184, -3, -5, 0 in ascending order. -5, -3, 0, 2184 Sort 3, 35, -4, -18 in descending order. 35, 3, -4, -18 Sort 7, -2, 4 in ascending order. -2, 4, 7 Put -0.3, -0.4, 0.2, 13 in decreasing order. 13, 0.2, -0.3, -0.4 Sort -9, 2/7, 53. -9, 2/7, 53 Sort -5658, 1, -5 in ascending order. -5658, -5, 1 Sort 0, -22, 4, -2, -1. -22, -2, -1, 0, 4 Sort -10, 3, 143, 0 in descending order. 143, 3, 0, -10 Put -0.1, 4, 2220 in descending order. 2220, 4, -0.1 Sort -5, -3, -352. -352, -5, -3 Sort 24, 4, 2, 18, 5. 2, 4, 5, 18, 24 Sort 6, -5, -4, 57. -5, -4, 6, 57 Put -1/12, 1, -0.5, 258 in decreasing order. 258, 1, -1/12, -0.5 Put 0.4, -3, 4, -0.4 in decreasing order. 4, 0.4, -0.4, -3 Put -5, 5, 3, -4 in ascending order. -5, -4, 3, 5 Put -1.77, -0.5, -5 in descending order. -0.5, -1.77, -5 Sort -2, -5, -21, -1 in ascending order. -21, -5, -2, -1 Put 19, -49, 1 in increasing order. -49, 1, 19 Put -13, -20, 3, -8 in ascending order. -20, -13, -8, 3 Sort -3/7, 0, -0.5, 2 in decreasing order. 2, 0, -3/7, -0.5 Put -34, 0, 4, -4, -1 in increasing order. -34, -4, -1, 0, 4 Put -3, -5, 4, -31 in decreasing order. 4, -3, -5, -31 Sort 2/9, 2, -2, -16 in decreasing order. 2, 2/9, -2, -16 Sort 5, -2, 3, -29 in decreasing order. 5, 3, -2, -29 Put 230, -5/4, -0.02 in descending order. 230, -0.02, -5/4 Sort -38, 6, -1. -38, -1, 6 Put -321, -2, -3, 5 in descending order. 5, -2, -3, -321 Put 10, -5, -1, 0 in ascending order. -5, -1, 0, 10 Sort -2, -1083, 2 in decreasing order. 2, -2, -1083 Sort -3, 5, -15/2, 0.4 in increasing order.
{ "pile_set_name": "DM Mathematics" }
90 - 766 = -18*q. Let n(s) be the first derivative of 0*s**3 + 11/4*s**4 + 0*s + 5 - 17/2*s**q. Find the second derivative of n(m) wrt m. 66*m Let l(x) be the first derivative of -8*x + 6/7*x**7 + 0*x**4 + 0*x**5 + 55 - 5/3*x**3 + 0*x**2 + 3/2*x**6. What is the third derivative of l(b) wrt b? 720*b**3 + 540*b**2 Let y(v) be the second derivative of 23*v**6/2 - v**5/5 - 179*v**4/6 - 24*v + 64. Find the third derivative of y(h) wrt h. 8280*h - 24 Let o(x) be the second derivative of -151*x**5/10 - 579*x**2/2 + 137*x. Differentiate o(a) with respect to a. -906*a**2 Let r(k) be the third derivative of -13/3*k**3 + 0 + 1/20*k**5 - 51*k**2 + 0*k**4 + 0*k. Differentiate r(j) wrt j. 6*j Let n be (24 - 18) + (1 - 5). Find the third derivative of 18*b**6 + 20*b**6 + 31*b**3 + 2*b**2 - 10*b**n + 4*b - 36*b**6 - 138*b**3 wrt b. 240*b**3 - 642 Let w(y) be the second derivative of -32*y**4/3 + 132*y**2 + 523*y. Differentiate w(t) wrt t. -256*t Let y(d) be the third derivative of 1/8*d**4 + 1/15*d**5 + 0*d**6 - 16*d**2 + 11/42*d**7 - d + 0 + 0*d**3. Find the third derivative of y(p) wrt p. 1320*p What is the second derivative of -213504*y**2 - 5138*y**3 - 984 - 2*y + 213504*y**2 - 372 wrt y? -30828*y Let r(w) be the first derivative of 2*w**3/3 - 165*w**2/2 + 6957*w - 223. What is the derivative of r(c) wrt c? 4*c - 165 What is the second derivative of -2349*h**3 + 115 + 4761*h**3 - 3216*h**3 + 2*h wrt h? -4824*h What is the third derivative of 8273 - 16537 + 12*j**2 + 8284 - 724*j**3 + 23*j**2 wrt j? -4344 Let b(j) be the first derivative of 533*j**4/4 + 4*j**3/3 + 5*j**2/2 - 153*j + 6170. Find the second derivative of b(s) wrt s. 3198*s + 8 Find the second derivative of 1 - 521*s - s**3 - 2032*s**5 + 154*s - 292*s wrt s. -40640*s**3 - 6*s Let h(a) be the second derivative of 0*a**2 + 0 + 37/2*a**3 + 107/12*a**4 + 109*a. What is the second derivative of h(m) wrt m? 214 Find the third derivative of 169 - 94*l**4 + 11*l**4 - 34*l**4 - 3*l**2 + l**2 + 4*l**2 wrt l. -2808*l Let l(g) be the third derivative of -197*g**7/70 + g**5/60 + 231*g**3/2 - 1904*g**2. Find the first derivative of l(j) wrt j. -2364*j**3 + 2*j Let a be ((-2)/(-21)*3)/(6/42). Let v(l) = -1671 - 89*l**a + 1698 + 23*l**2. Let y(u) = 22*u**2 - 9. Let k(p) = -4*v(p) - 11*y(p). Differentiate k(w) wrt w. 44*w Let s be (-3 - -1) + (-6 - 6)/3. Let i(t) = 40*t**2 + 58*t - 2. Let w(a) = -2*a**2 + 1. Let p(r) = s*w(r) - 2*i(r). What is the second derivative of p(b) wrt b? -136 Let w(q) be the third derivative of -14*q - q**2 + 1/3*q**4 - 29/3*q**3 - 1/20*q**5 + 0. Differentiate w(j) with respect to j. -6*j + 8 Let k(r) = 2*r**2 + 9*r + 4. Let v be k(-4). Let u be v/(1/3 - 15/(-9)). Differentiate -3 + 34*x**4 + 13 + 24 + u with respect to x. 136*x**3 Let p be 7/(-1)*(-5)/7. Find the third derivative of -n**6 - n**2 - 9*n**6 + p*n**2 + n**5 - 4*n**6 wrt n. -1680*n**3 + 60*n**2 Let u(g) be the first derivative of -232/3*g**3 + 111/2*g**2 + 0*g + 126. What is the second derivative of u(d) wrt d? -464 Differentiate -3*a - 4900 + 126*a**3 + 2125*a**2 - 2127*a**2 + 4*a - 3*a wrt a. 378*a**2 - 4*a - 2 Let y(a) be the second derivative of 57 - 2*a + 0*a**5 + 17/12*a**4 + 29/14*a**7 + 0*a**3 + 0*a**6 + 0*a**2. What is the third derivative of y(q) wrt q? 5220*q**2 Suppose 46*q - 932 - 2058 = 0. What is the second derivative of 2*d - 3*d + 31*d**4 - q*d**4 - 143*d**4 + 21 - 2*d wrt d? -2124*d**2 Let d = 2898 - 2845. Suppose 55 = q - 36. Find the third derivative of -q*c**2 + 60*c**2 + 41*c**3 + d*c**2 wrt c. 246 Suppose -18*i - 127 = -163. Let n(x) be the third derivative of -18*x**i + 0*x**4 + 0 + 0*x - 5/6*x**3 + 7/60*x**5. Differentiate n(f) with respect to f. 14*f Let d be 0 + (3 + -6 - -12). Suppose -12*v + 6 = -d*v. What is the first derivative of -3*g**2 + 6 - v*g**2 - 22 wrt g? -10*g Suppose -5*h + 4*p = -253, -6*h - 5*p = -2*h - 227. Find the second derivative of -55*j + 4 - j**4 + 53*j**2 + h*j - 14*j**2 wrt j. -12*j**2 + 78 Let h = -51 + 65. Find the first derivative of 50 + h*w**4 + 0 + 28 + 8*w**4 wrt w. 88*w**3 Let f(w) be the second derivative of w**2 - 11/21*w**7 + 0 - 55*w - 7/6*w**4 + 0*w**3 + 0*w**5 + 0*w**6. What is the third derivative of f(k) wrt k? -1320*k**2 Let p(q) = -q**3 + q**2 + q. Let j(u) = 64*u**3 + 6*u**2 + 54 + 192*u + 0*u**2 - 186*u. Let k(g) = -j(g) + 6*p(g). Differentiate k(n) wrt n. -210*n**2 What is the third derivative of 11 - 2 + 1128*l**2 - 829*l**6 - 780*l**6 - 871*l**2 wrt l? -193080*l**3 Let w(a) be the first derivative of 1145*a**6/2 + 2*a**3/3 + 200*a**2 + 2*a - 3229. What is the third derivative of w(h) wrt h? 206100*h**2 Let v be ((-2)/5)/((-3)/15). Suppose 38 = 3*w - 2*y - 37, 2*w = y + 50. Find the third derivative of 4*u**2 - 13*u**2 + v*u**3 + w*u**2 wrt u. 12 Let h be 27/6 + (8 - 15)/14. Suppose 0 = 4*n - 5*n + 18. Find the first derivative of -n*p**h - 29*p**4 + 23*p**4 + 5 wrt p. -96*p**3 Let g(h) be the second derivative of 191*h**4/2 - 128*h**3/3 - h**2 - 3*h + 1166. Find the second derivative of g(p) wrt p. 2292 Let f be -2 + (30/20)/((-6)/(-16)). Find the third derivative of 6*k**4 - 55*k**2 + 44*k**2 - f*k**4 + 4*k**3 + 28*k**2 wrt k. 96*k + 24 What is the derivative of 233*r + 96*r - 466 + 9*r + 529 - 46*r wrt r? 292 Differentiate 52*p**2 + 84*p**4 + 50*p**2 + 1805 - 1496*p**4 + 51*p**2 - 154*p**2 with respect to p. -5648*p**3 - 2*p Let b(z) = 2*z**3 - 30*z**2 + z - 15. Let a be b(15). Suppose -9*v + 12*v - 141 = a. What is the third derivative of -v*x**2 + 8*x**3 - 64*x**3 + 30*x**3 wrt x? -156 Let q(p) be the second derivative of -1/6*p**3 - 5/14*p**7 + 3*p + 0*p**5 + 25/2*p**2 - 17 + 1/6*p**6 + 0*p**4. Find the second derivative of q(k) wrt k. -300*k**3 + 60*k**2 Let k(f) be the third derivative of -74*f**6/15 - 451*f**5/60 + 14*f**2 + 62. Find the third derivative of k(a) wrt a. -3552 Let m(r) = 63*r**3 + 63. Let g(i) = 1. Suppose 0 = -q + 4*u + 5, 3*q + 51 = 6*q - 3*u. Let z(o) = q*g(o) - m(o). Find the first derivative of z(b) wrt b. -189*b**2 Let h(j) be the first derivative of 2393*j**3/3 + 3*j**2/2 + 208*j + 936. What is the second derivative of h(z) wrt z? 4786 Let t(d) = -d + 17. Let f be t(1). What is the derivative of 50 - f*y + 152 + 57 wrt y? -16 Differentiate -4098*k - 447*k - 666*k + 1219*k - 3810*k - 13186 with respect to k. -7802 Differentiate -4171 - 446*o**4 + 2133 + 2299*o**4 wrt o. 7412*o**3 Suppose 11*y + 40 = 13*y. Let c be (-6)/(-5)*50/y. What is the second derivative of -7*m**5 + 1172*m - 1179*m - c*m**5 wrt m? -200*m**3 Let g(s) be the third derivative of -19*s**7/210 + s**6/60 - 47*s**5/12 - 3071*s**4/12 - 2608*s**2. Find the second derivative of g(v) wrt v. -228*v**2 + 12*v - 470 What is the second derivative of 46 - 8*b + 438*b**5 + 9*b + 239 + 4012*b**5 wrt b? 89000*b**3 Let i = 638 - 647. Let v(b) = -193*b + 229. Let d(j) = 773*j - 920. Let s(y) = i*v(y) - 2*d(y). What is the derivative of s(o) wrt o? 191 What is the second derivative of -1042*k + 1177*k**3 - 291*k - 119*k - 245*k - 71*k wrt k? 7062*k Find the third derivative of -17 + 8*c**3 - 11782*c**2 + 11 + 5 + 11783*c**2 + 79*c**4 - 195*c wrt c. 1896*c + 48 Let g be -1 - 21/(-19) - (-10725)/3705. Differentiate b + 8 - 4*b - 5 + 22 + 2*b**g with respect to b. 6*b**2 - 3 Suppose -37*d + 25*d = -624. What is the third derivative of 80*z**5 - d*z**4 + 103*z**4 + 38*z**2 - 51*z**4 wrt z? 4800*z**2 What is the second derivative of 670*j + 545*j + 234*j - 1056*j + 615*j**4 + 2*j**5 wrt j? 40*j**3 + 7380*j**2 Let i(g) be the second derivative of 0*g**3 - 95/56*g**8 + 0*g**7 + 6*g**2 + 0*g**6 + 1/6*g**4 + 0*g**5 + 10 + 2*g. What is the third derivative of i(c) wrt c? -11400*c**3 Let v(b) be the third derivative of -149*b**6/30 - 373*b**5/60 + b**3/3 - 229*b**2 + b. What is the third derivative of v(j) wrt j? -3576 What is the derivative of 458 + 414*k - 1533 - 133*k + 228*k + 95*k wrt k? 604 Suppose 0 = -8*q + 5*q + 9. Differentiate 19 - 16*t**q - 5*t**3 + 10 + 3*t**3 with respect to t. -54*t**2 Let o be (10 + -8 - 7) + 9. Find the third derivative of -3*g**3 + 104*g**o - 174*g**4 + 262*g**2 + 100*g**4 wrt g. 720*g - 18 Let h(q) be the second derivative of 17*q**5/4 - 8*q**2 + 825*q. Differentiate h(y) with respect to y. 255*y**2 Let k(m) be the second derivative of 5*
{ "pile_set_name": "DM Mathematics" }
Let b = -14 - -16. Suppose 0 = -b*g - 8 - 18. Is -14 equal to g? False Let n be ((-9)/(-15))/((-2)/(-10)). Let q = -6 + n. Suppose -w = -4*i + 1 + 9, -5*w - i = 8. Is w bigger than q? True Let v(l) = l**3 + 3*l**2 - 6*l - 5. Let z be v(-3). Is 13 less than or equal to z? True Let t be (-2 + 16/14)*7. Let h(z) = -z. Let c be h(t). Suppose -k = -c*k. Is 1 >= k? True Let h = 13.9 + -6.9. Which is bigger: h or 3? h Suppose a = -2*c + 2, 5*c + 2 - 6 = -3*a. Let k = -50453/903 + 391/7. Let h = 28/43 - k. Which is bigger: c or h? c Let v = 0.24 + -2.44. Let o = -2 - v. Suppose 4*r - c - 2 = 3, r + 3*c + 15 = 0. Is r >= o? False Let w be (196/(-24))/(-7) - 3. Is w not equal to -1? True Let i be 58/18 - 6/27. Suppose 3*s - 5 = -i*z + 4, 2*s = -3*z + 5. Which is smaller: 0 or z? z Let m be (-24)/(-3) - 2 - 2. Let n be ((-2)/(-8)*-2)/m. Which is smaller: 1 or n? n Let i be 2/8*(-12)/3. Does -8/5 = i? False Let h(c) = -c**3 - c**2 - 6*c - 5. Let d be h(-1). Which is smaller: 2/153 or d? 2/153 Let v = 9 + -4. Suppose v*j = 3*j - 4. Is j < -4/3? True Let t(x) be the third derivative of x**5/60 - x**3/3 + 2*x**2. Let v be t(0). Which is bigger: -5 or v? v Let a = 258197/5 + -51309. Let h = 329 - a. Which is smaller: -1 or h? h Let l(x) = -x**3 + 14*x**2 - 13*x + 10. Let f be l(13). Suppose 0 = 2*k + 2*c, -f = 3*k - 5*c - 26. Is 3 less than k? False Let f be (-18)/(-12)*(-1)/3. Suppose -8 + 0 = 4*k. Is f >= k? True Suppose 5*t + 20 = 5. Let y(m) = -11*m**3 + 19*m**2 - 11. Let p(g) = -5*g**3 + 9*g**2 - 5. Let a(o) = 13*p(o) - 6*y(o). Let q be a(t). Is q < -1? False Let t(n) = n**2 + 5*n - 6. Let q be t(-7). Suppose 4*w - q = -5*c, c + 6 = -0*c + 3*w. Which is smaller: 1 or c? c Let j(r) = -r**2 + 2*r + 8. Let n be j(6). Let y be (-1)/(-4)*n/18. Let v(t) = t**2 + 3*t - 1. Let m be v(-3). Is y at least as big as m? True Suppose 0 = 4*n - 5*w + 47 - 7, -3*n - 19 = -w. Let b be 0 - (n + 1 + 2). Suppose t = -f, -3*t + 2 = b*t + 3*f. Is 2 <= t? False Let i be ((-386)/(-4))/((-10)/28). Let m = 438 + -167. Let n = i + m. Which is smaller: 1 or n? n Let s be (-3 + -2)*(-8)/10. Let m(j) = -j**3 + 4*j**2 + 2*j + 1. Let u be m(s). Let d be 6/u*(-2)/(-6). Which is bigger: 1 or d? 1 Let j be (-112)/(-24)*4/14. Let u be ((-3)/(-9))/((-1)/(-3)). Which is smaller: j or u? u Let g(f) = -f**2 - 16*f + 1. Let n be g(-16). Suppose 5 = 4*o - y - 7, 5*o - y - 14 = 0. Which is smaller: o or n? n Let p be 2/(-8) - 298/(-8). Are 36 and p unequal? True Let s(r) = r**3 + 11*r**2 + 9*r - 6. Let w be s(-10). Let x(m) = -m**2 - 5*m + 3. Let y be x(-5). Which is bigger: w or y? w Let c(z) = -z**2 + 5*z - 5. Let y be c(2). Is y equal to -1/32? False Let i = -74 + 52. Which is bigger: -2/5 or i? -2/5 Suppose 0*m = -2*m + 2, -9 = -3*k + 3*m. Let y be (2/k)/((-3)/(-6)). Which is bigger: y or 3/2? 3/2 Let j = 1.7 + -1.7. Are -0.02 and j nonequal? True Let f = -1 + 0. Let h be 1 - (444/(-280) + 2). Let n = 3/10 - h. Which is smaller: f or n? f Let l = -12 + 6. Let i = -4 - l. Suppose -6*k + 16 = -i*k. Is 4 bigger than k? False Let r be 0*2/6*-1. Let k be (-1)/(0 + -3 - -2). Which is smaller: k or r? r Let h be (1/2)/(3/(-30)). Which is greater: h or -3? -3 Let w = -25 + 25. Let l = 38 + -26. Is w bigger than l? False Let i(c) = -c**2 + 8*c - 5. Let g be i(7). Let a be 0*(2 + (-5)/g). Suppose a*u = 2*u. Which is bigger: -1 or u? u Suppose -3*n + 2*k + 31 = 0, k - 16 = -6*n + 3*n. Let o(c) = c**2 - 8*c - 12. Let p be o(10). Which is smaller: n or p? n Let z(u) = 2*u - 3. Let w be z(-4). Is -12 smaller than w? True Suppose -5*g = 0, 20 = -4*k + 3*g - g. Suppose 43 = -7*z - 13. Let y = k - z. Is 2 less than or equal to y? True Let a(b) = -3*b. Let l(o) = 2*o**2 - 1. Let t be l(1). Let z be a(t). Let n(f) = f**2 - 3*f - 2. Let h be n(3). Which is smaller: h or z? z Let q = -8 + 7.4. Which is bigger: -2 or q? q Let b = -17 + 20. Suppose 0 = -b*u - 0*u + 18. Which is smaller: u or 2? 2 Let c(n) = n**2 + 6*n - 4. Let b be c(-7). Suppose z - b - 3 = 0. Let j be z/((1 - -1)*1). Which is greater: j or 4? 4 Let g be (-21)/9 + 2/12*8. Which is greater: -3 or g? g Let z be (-3)/(((-150)/(-1156))/5). Let v = z - -116. Is v > -6/5? True Let p(y) = -y**3 + 5*y**2 + 7*y - 4. Let h be p(6). Let t be (5*(-2)/24)/(7/(-42)). Which is greater: h or t? t Let d = 2 - 1. Let z = d - 2. Let w(u) = u**3 - 3*u**2 + u + 2. Let v be w(2). Which is smaller: v or z? z Let d = -8 - -11. Suppose 0 = -t + d*t - 2. Let n = -1069/9 - -119. Are n and t non-equal? True Suppose 0 = 3*t + 64 - 67. Which is smaller: -2/75 or t? -2/75 Let b be (-1 - -5)*19/(-38) + -5. Is b > 1? False Let y = -160 - 13. Which is smaller: -172 or y? y Let d(h) = -h**2 + 3*h - 6. Let g be d(3). Which is smaller: -5 or g? g Let a = 1.4 + 0.1. Let r = -0.5 - a. Are -0.1 and r equal? False Suppose 0*r - 6 = r. Let w = r + 4. Let y be (-27)/6*(-1)/(-6). Is y greater than w? True Suppose -2*b + 4 + 12 = 0. Let i be (-4 + b)*(-2)/(-20). Let f(r) = r - 1. Let d be f(4). Which is bigger: i or d? d Let l(y) = -2*y**2 - 8*y + 17. Let x be l(5). Does -73 = x? True Let w(g) = -4*g**3 - g**2. Let n be w(-1). Suppose d + n*c = 23, 13 = d + 4*c - 12. Suppose d = -x - 5*y, -y + 3 = -x - 2*x. Which is bigger: -3 or x? x Suppose 5*j = -22 - 13. Let w(d) = -d - 6. Let i be w(j). Suppose 0 = 4*h + 5*g + 24, 3 = h + 3*g + 16. Which is greater: i or h? i Let l = 14 + -20. Let r be (-2)/(-8)*(-3)/l. Suppose -2*t - 7 = -3*j - 4, 0 = -2*t + 4*j - 4. Is r < t? False Suppose 6*c - 4*c + 3*t = -14, -3*c + 3*t = -9. Suppose 5*q = 258 + 52. Let s = q - 432/7. Are c and s equal? False Let v = 7 - 11. Let z = -2 - v. Which is smaller: z or 0.1? 0.1 Suppose 2*o = r + 1, -5*o - 1 + 23 = 4*r. Suppose 2*n + 4 = -o*n. Which is bigger: n or -10/7? n Let k = -58 + 57.93. Let s = -3.9 + 4. Is k at least as big as s? False Let c = -0.04 + -0.66. Let l = c + 0.7. Does l = 0? True Suppose -l + 68 = 65. Let b = 3 + -5. Let o = b - -3. Which is smaller: o or l? o Let d be (-1)/(3/18*-3). Which is greater: d or -2? d Let p = -109 - -95. Which is bigger: p or -15? p Let d = -2 - -3. Let f(m) = -m**3 - 5*m**2 - m - 7. Let x be f(-5). Let b be (x/14)/((-70)/49). Is d not equal to b? True Let j = 9 + -10. Which is bigger: j or 1/134? 1/134 Let t be (-290)/125 - -2 - 0. Which is greater: -1 or t? t Suppose -i + 0*i + 2*d + 1 = 0, -2*d - 3 = i. Let j be 5360/(-1155) - (0 + -3). Let k = j + -2/77. Is k at most as big as i? True Suppose 0 = 4*b - 4*u + 12, 7 = -3*b - 0*u + u. Let k be (b + 5)*(-10)/55. Which is bigger: k or -2? k Suppose 0 = p + 2*p - 30. Let h be (-88)/p - 1/5. Is -9 smaller than h? False Suppose 285*d = 288*d + 6. Which is smaller: d or -18/11? d Let g = 25 - 87. Let i be (10/15)/(g/6). Is 0 > i? True Let i be (4/(-6))/((-4)/(-12)). Suppose 5 = n - 4*a - 3, 5*n = -5*a + 15. Let h be (i + n/2)/2. Which is greater: 2/3 or h? 2/3 Let k = 51/8 + -1189/184. Suppose 5*i + s + 5 = 0, -2*s - 5 = 5*i - 4*s. Do i and k have the same value? False Suppose 3*n = 2*n - 14. Let i be (-62)/n - 3/7. Are i and 4 unequal? False Suppose 0 = z - 21 + 17. Which is smaller: 11/3 or z? 11/3 Let d = 161 - 2577/16. Which is greater: 0 or d? 0 Let m be -2*1*(5 + -7). Suppose 8*c - m = 4*c. Which is smaller: 2/21 or c? 2/21 Let m be 4 + 92/(-12) - -3. Let s be 4/14 + 16/(-7). Does m = s? False Let d = 0.07 + -2.07. Let s = -37 + 36.04. Let w = s + -0.04. Is w != d? True Suppose 0 = 3*t + 37 - 40. Which is greater: t or 5/26? t Let q be 7 + (-1)/((-1)/3). Suppose -q = w + w. Let v be 3/w + 4/(-10). Which is bigger: v or -2/19? -2/19 Let t = -7.9 - -8. Are t and 15 equal? False Let c be (6/(-4))/(4/8). Let f = 0 + 2. Suppose 5*m - 20 = 0, -w - m + 8 = f*m. Is c > w? True Let m be (108/16)/(6/16). Which is smaller: 19 or m? m Let n(q) = -q**3 + 2*q**2 + 2*q - 2. Let u be n(2). Is u < 2? False Let s be 10/25 - (-14)/(-10). Is -3/8 smaller than s? False Let i = -8 - -4. Let g = -4 - i. Let y be (54/(-20) - -4) + -1. Is y greater than or equal to g? True Let z = 0.176 - 0.176. Which is greater: 11 or z? 11 Let i = -19/2 - -10. Which is smaller: 1 or i? i Let g be ((-4)/(-14))/(4*(-4)/(-40)). Which is greater: g or 2? 2 Let y = 15 + 5. Suppose -4*j + 12 = -y. Let g(i) = i - 11. Let m be g(j). Is m greater than or equal to 0
{ "pile_set_name": "DM Mathematics" }
est to 1? (a) f (b) -3 (c) 1 c Let w = 557 + -556.9. What is the nearest to w in 0.3, 0.6, 2? 0.3 Suppose 5*d + 2*g - 44 = 4*g, -3*g = 6. Let f be 36/(-10) + d/(-20). Let m be (8 + -11)*(-4)/18. Which is the nearest to -1? (a) m (b) f (c) 0 c Let i be (-26)/8 - (-2 + (-2 - -1)). Let l be (-1)/(-4) - (-6)/(-88). Which is the nearest to i? (a) 5 (b) l (c) 0.2 b Let l = -3 + 5. Suppose 2*y = y + l. Let r = -6/29 + 100/203. Which is the nearest to 0.1? (a) y (b) -5 (c) r c Let w = 2390 - 2399. What is the closest to 4 in -2/15, w, 2/3? 2/3 Let v = 8 + -8. Suppose 3*i + 2*m = -8, -17 = -2*i + 5*m + 3. Suppose i = 3*x - 6*x - 12. Which is the closest to v? (a) 0.1 (b) 0.5 (c) x a Let a be (-4)/((-6)/4*(-20)/15). Let l be -12 - -18 - (-1)/a*4. What is the closest to 2 in l, -0.2, 1/4? 1/4 Let y = 522.5 + -523. Which is the closest to -2.3? (a) -1 (b) y (c) 0 a Let w = -0.5 - -0.3. Let d = 0.7 - -2.3. Let l = 516 - 6706/13. Which is the nearest to w? (a) 5 (b) l (c) d b Let v = -636 - -635. Which is the closest to -1? (a) -4 (b) -6 (c) v c Let s = 14 - 11. Let h be 2/(s + 7/(-3)). Let v = -1011/10 + 101. Which is the closest to -1/2? (a) h (b) v (c) 4 b Let g = 2.86 + -2.76. What is the nearest to g in 2, 0.2, 18, 4? 0.2 Let q = -0.7 - -1.2. Let k = 3158/3 + -1053. Which is the nearest to 0.1? (a) q (b) 3 (c) k a Let r be 16/(-7) + 6/21. Let i be 10*(-1)/7 - r. Let g = 65/2 + -32. Which is the closest to -0.1? (a) -1 (b) g (c) i b Let x = 0.05 + -0.45. Suppose -6*v = 24 - 6. What is the nearest to 0.1 in 0.2, v, x? 0.2 Suppose -3*q = -5*w + 29, -3*w - q = -8*w + 23. Which is the nearest to -2/5? (a) -2/3 (b) w (c) 5 a Let g be (-12)/34*(9 - 252/27). Let y = g + -21/34. Let o be 56/30 + (-2)/3. Which is the nearest to y? (a) o (b) -0.4 (c) -1/3 b Let k(i) = 2*i**2 - 77*i + 701. Let m be k(15). Let s = -2 + 1.5. Which is the closest to 1? (a) m (b) s (c) -4/3 b Let s = -1690 - -1686. What is the closest to 1 in -0.04, s, 8? -0.04 Let s = -32 + 32.3. Let k be 2/4*(0 + 0). Suppose k = -2*u + u - 4. What is the nearest to 2/5 in s, u, 0.4? 0.4 Let r be ((-6)/9)/((-15)/(-9)). Let l = -4 - -3. What is the nearest to l in r, 0.2, 3? r Let s be (14/21)/((-1)/6). Let k be -2*((-10)/s - 1). Let d = -6 + 4. Which is the nearest to -1? (a) k (b) d (c) -0.4 c Let u = -0.0371 - 0.1629. What is the nearest to -1/3 in 1/7, -3, 2/3, u? u Let r = 2.566 + 0.434. Let m = -8 - -4. Let y = -238/3 + 80. Which is the nearest to 0.1? (a) m (b) r (c) y c Let b = 34 - 34.2. What is the closest to -3/4 in b, -5, -5/3? b Suppose -3*w + 2*w + 2 = 0. Which is the closest to -2/117? (a) 3 (b) 1/10 (c) w b Suppose -7 = -r - 3. Let l = -2.1 - -4.1. Let i be 6/7 + 3 + (-48)/14. Which is the closest to -0.1? (a) i (b) l (c) r a Let i = 1729 - 1729.2. Let u = 5.1 + -5. What is the nearest to -2/3 in u, -0.3, i? -0.3 Let y = -2/789 - -1588/3945. What is the closest to y in 5, 1, -0.4, 4? 1 Suppose -4*d + 20 = -y, 5*d - 48 = y + 6*y. Let k = -3.89 + -0.11. What is the nearest to -2/5 in -5, k, d? k Let d(m) = -m**2 + 21. Let r be d(4). Suppose 4*t = -0*y - 3*y + 23, 0 = 5*y - r. Let x = 4.07 - 0.07. Which is the closest to -1? (a) -5 (b) t (c) x a Let z be -2 + 7/4 - (-19)/(-532). Which is the closest to 0.1? (a) -1 (b) -0.4 (c) z c Let m = 392/955 + -2/191. Let q = -1837 + 1835. Which is the nearest to -1/2? (a) m (b) -4 (c) q a Let s(f) = -f**2 - 8*f + 1. Let v be s(-8). Let x = 3.3 - 18.3. Let q = 20 + x. Which is the nearest to v? (a) 0.1 (b) 1 (c) q b Let w = -545 + 549. Let i = -1.1 + 0.4. Let s = i - 3.3. Which is the closest to -0.1? (a) w (b) -2 (c) s b Let t be (8/14)/((-120)/(-84)). Let b = 5.8 - 6. What is the closest to 2 in b, -1/3, t? t Let x = -393.3 - -393. What is the closest to -2/5 in 3/7, 4, -0.4, x? -0.4 Let o = 38.5 + -39. Let x = o - -0.4. Suppose l + 3*l - 20 = -a, 2*l - 10 = -2*a. What is the nearest to a in x, -3/4, -5? x Suppose -2*m - 125 = -131, -2*m - 4 = 2*z. Let j = 0 - -10. Let d be -1 + 2 + (-12)/j. Which is the closest to 0? (a) -2/9 (b) z (c) d c Let u be ((-12)/(-18) + -1)/((-14)/6). Let d = -2/35 - u. Let t be (-1)/2 + (-2)/(-4). What is the closest to t in -0.3, d, -4? d Suppose -51*d = -48*d + 9. What is the closest to 1/3 in -0.5, d, -0.06? -0.06 Let t = 15.6 + -15.8. What is the closest to 0.2 in -115, t, 0.3, -1? 0.3 Let s = 30.58 - 30. Let o = s - 0.18. Which is the nearest to -1? (a) -0.6 (b) -5 (c) o a Let z = 159 - 157. Let h be (-6)/15 - (-24)/10. Let p be 3/h + (-21)/(-6). Which is the nearest to z? (a) -4 (b) p (c) 3/5 c Let g = 0.5 - 0.2. Let q(c) = -c**2 + 4*c + 5. Let u be q(5). What is the nearest to -2/7 in g, 4, u? u Suppose -339*i + 307*i - 64 = 0. Which is the closest to i? (a) 1/8 (b) -9 (c) 2 (d) 6 a Let p be (1/1)/(-8 + (-69)/(-9)). What is the nearest to -2/3 in p, 3/7, 4/7? 3/7 Let v = -159 - -161. What is the nearest to 3/4 in 1/7, 5, v? 1/7 Let a be -1 - (1/1)/(10/(-20)). Let q = 6 - 9. What is the closest to -4/5 in q, 0.5, a? 0.5 Let k = -57 + 286/5. Suppose -8*y - 2 = -10*y. Let i = -2 + 16/7. Which is the closest to i? (a) k (b) 3/4 (c) y a Let z = -2.3 - -1.3. Which is the closest to z? (a) -2/11 (b) -2/43 (c) 0.8 a Suppose 0 = 2*p - 2*p - p. Let d be 4/10 - (-3)/5. Suppose i + d = 4*r - 2, 3*i = 3*r - 9. Which is the closest to r? (a) -3 (b) 6/7 (c) p c Let z be (18/15)/((-4)/(-2)). Let m = 23 + -20. Let y be ((-6)/(-16))/(((-117)/(-6))/13). Which is the closest to z? (a) -2 (b) m (c) y c Let l be -2 + 115/55*(1 - 0). Which is the nearest to 0.4? (a) -5 (b) 5 (c) l c Let d = 142 + -140. What is the closest to 0 in 0, -4, d? 0 Let w = -962 - -961.9. Which is the nearest to 2? (a) w (b) -6 (c) -7 a Let f = 0.8 - 1. Let k = -0.3 + 0.5. Let d be 2/(3 - 39/15). Which is the nearest to f? (a) 3 (b) k (c) d b Let d = 1/11 - -19/33. Let y = -108.6 - -109. Which is the closest to d? (a) y (b) 7 (c) 1 a Let m = 2.94 - -0.06. Let q = m - 3.1. Let g = -28.9 - -29. Which is the nearest to g? (a) q (b) 0 (c) -0.3 b Let h = 251 - 253. Which is the closest to 3? (a) 0 (b) h (c) 3/2 c Let a = -68 - -66. What is the closest to 0 in -0.14, a, -0.1? -0.1 Let w = -6.4 + 6. Let n = -54 - -93. Let d = -41 + n. What is the nearest to 0.1 in 4, w, d? w Let q = -113/5 + 23. Let b = 0.07 - -3.93. What is the closest to -0.1 in 0, q, b? 0 Let j = 11.8 + -12.1. Which is the closest to 0.5? (a) 2/5 (b) j (c) 1 a Let a = 294 + -19112/65. What is the closest to 2/7 in 2/5, -5, a? 2/5 Suppose -2 = -2*b, 0 = 2*v + 2*v - b + 13. Let f be (-2)/5 + 66/(-15)*-1. Let d be (24/(-7) + f)/((-6)/(-7)). What is the closest to v in -5, d, 1/8? -5 Suppose -13 = -9*v - 40. What is the closest to -10 in v, 1/3, -2/3? v Let c = 47.2 + -47. Let g be (-4)/10*(18 - 17). Let x be (-3 - 1)/((-14)/(-3)). What is the nearest to g in 0.5, x, c? x Let n be (34/119)/(32/28). Which is the nearest to -1? (a) -0.2 (b) n (c) 63 (d) 2/7 a Let t = -1 - -1. Let j = 1622 - 1625. Which is the nearest to t? (a) j (b) 1 (c) 0.3 c Let o = 257/147 + -4/49. What is the nearest to -1 in -3/8, o, -2, 2? -3/8 Suppose 0*c = 2*c - 2*b, 3*c - 2*b + 2 = 0. Suppose 3*k = -2*k - 15. Let x = -4.07 - -0.07. What is the closest to 0.1 in x, c, k? c Let l = 0.003 - 4.203. Let b = 0.8 - l. Let x(s) = -s**3 - 44*s**2 + 41*s - 181. Let d be x(-45). What is the closest to d in -2, b, -1/5? -1/5 Let a = -17 - -16.5. Let z = 28/5 + -89/15. What is the nearest to z in -0.2, a, -3? -0.2 Let z = -263 - -403. Let j be z/833 - 2/7. Which is the nearest to 1? (a) j (b) -1/9 (c) 2 c Let z = -112/135 - -17/27. Suppose x - 2 = -7. Which is the closest to z? (a) x (b) 0.1 (c) 4 b Let f = -0.2 - -0.6. Let t = 0.05 - 0.05. Let q be (74/(-259))/(10/(-14)). What is the closest to q in t, f, -4/3? f Let o = 6 + -9. Let s = -2 - o. Let n = -13.3 + 12.8. Which is the nearest to -2? (a) s (b) -1 (c) n b Let j(k) = -k**2 + 11*k - 13. Suppose 2*p = 6*p - 40. Let y be j(p). Let z be -3 - (1 - (-11)/y). Which is the nearest to 2/7? (a) z (b) 0 (c) -2/7 b Suppose 120*c - 55 = 109*c. What is the nearest to -2 in 0.01, 0.3, c? 0.01 Suppose 3*b + b = 0. Suppose 5*y + 28 = p - 7, -3*p + 10 = 4*y. Sup
{ "pile_set_name": "DM Mathematics" }
o and 104? 13 Let k = -5 - -5. Suppose 5*q - 15 - 65 = k. Calculate the highest common factor of q and 16. 16 Let t(p) = -p**3 - 8*p**2 + 5*p - 6. Let k be t(-10). Calculate the greatest common factor of k and 18. 18 Suppose 0 = -5*o + 2*u, o + 4*u - 14 = 4*o. Suppose -336 = -5*h + o*h. What is the highest common divisor of 16 and h? 16 Suppose -5*f - g = -209 - 190, -2*g - 82 = -f. Let u = -6 - -16. Calculate the greatest common factor of u and f. 10 Let o be (-1*4/(-2))/1. Suppose 5*k - 26 = -3*n, 2*k - 5*n + o*n - 2 = 0. Suppose -3*q + 40 = 2*q. What is the highest common divisor of k and q? 4 Let p be (-78)/(-21) - 6/(-21). Suppose -16 = -p*m + 2*m - 3*o, -18 = -5*m - 2*o. What is the greatest common divisor of 5 and m? 1 Suppose 2*l + 4*r - 2 = 0, 2*l - 7*l = -r - 27. What is the greatest common divisor of 2 and l? 1 Suppose 3*b - 39 = -6*a + a, 0 = -3*a - 5*b + 17. Calculate the highest common divisor of 81 and a. 9 Let d be ((-12)/(-6) - 15)*-1. Suppose f + 3*v = 33, 88 = -2*f + 4*f - 5*v. Calculate the highest common factor of d and f. 13 Let s(g) = 6*g - 35. Let j be s(6). Calculate the highest common factor of 11 and j. 1 Suppose -l - 2*d + 8 = 2*d, 4*d = -12. Calculate the greatest common divisor of l and 20. 20 Suppose -3*o = 5*p - 749, -3*p - 4*o + 2*o = -449. Suppose 3*b + 2*d - 6 = 130, 5*d = -3*b + p. What is the highest common factor of b and 6? 6 Suppose -5*b = -2*b - 18. Suppose -5*q + 35 = 3*i, -q - 2*i = q - 14. Suppose -q = -a + 11. Calculate the greatest common divisor of a and b. 6 Suppose -5*l + 4*s + 7 = -9, -23 = -5*l - 3*s. Let q = -5 - -7. Suppose -q*x - 10 = -3*x. Calculate the greatest common factor of l and x. 2 Let v be ((-12)/16)/(1/(-4)). Let j be (-2 + 11)/v - -15. What is the highest common factor of j and 27? 9 Let a be (-12)/(-8)*(-20)/(-6). Suppose a*d - d - 60 = 0. Let i(r) = r**3 + 4*r**2 + 3. Let t be i(-4). What is the highest common factor of t and d? 3 Let u be 3550/70 - (-4)/14. Calculate the greatest common factor of 34 and u. 17 Let b = -22 - -32. Suppose 3*k - 26 = -4*s, -3*s = s + 16. Let l be 2/7 - (-696)/k. What is the highest common factor of b and l? 10 Let t be 1*2/((-2)/(-11)). Let b be (-115 - -1) + (-6)/2. Let s = b + 205. What is the greatest common factor of t and s? 11 Suppose -11*d + 4 = -10*d. Let r = 14 + d. What is the highest common factor of r and 54? 18 Let u be 2/(-7) + (-1092)/(-49). Calculate the greatest common factor of 44 and u. 22 Let x(y) = -y**2 + 9*y - 1. Let b be x(8). Suppose 176 = 3*g - 4*w, -3 = -3*w - 9. Calculate the greatest common divisor of b and g. 7 Suppose -5*m = -2*j + 136, -101 - 84 = -3*j - 2*m. What is the highest common divisor of j and 9? 9 Let j(p) = p**2 - 5*p + 3. Let r be j(3). Let q = 4 + r. Suppose -5*w = -4*w + 4*x - 17, x - 38 = -4*w. What is the highest common divisor of w and q? 1 Let z(s) = s**2 - 4. Let h be z(2). Suppose h = 5*n - 3*n, 560 = 5*x + 2*n. Calculate the highest common factor of x and 16. 16 Suppose -6*x = -3*x - 189. Calculate the greatest common factor of 7 and x. 7 Let w = -32 - -184. What is the greatest common factor of w and 19? 19 Let j(b) = -b**3 - 4*b**2 + 3. Let c be j(-4). Suppose -c*f + 7*f = 4. Calculate the greatest common factor of f and 5. 1 Let n be ((-4 - -2) + 2)/1. Suppose 2*q + 5 - 25 = n. Calculate the greatest common factor of 10 and q. 10 Suppose -52 - 80 = -4*l. Calculate the greatest common divisor of l and 22. 11 Let a(n) = -2 + 3 + 11*n**2 - 3 - 3*n. Let o be a(-2). Let q be ((-20)/15)/(1/(-9)). Calculate the highest common divisor of q and o. 12 Suppose -2*b - a + 37 = 0, 2*b = 5*a + 67 - 12. Let t be 842/6 - 1/3. Calculate the highest common factor of t and b. 20 Let t = -103 - -247. Let y be 52/3 + 4 + 10/(-3). What is the highest common factor of y and t? 18 Suppose -161*s = -164*s + 1680. Calculate the highest common factor of 70 and s. 70 Let a = -25 + 69. Calculate the highest common divisor of a and 11. 11 Let j = -76 + -118. Let l = -124 - j. Suppose -g + 1 + 9 = 0. Calculate the greatest common divisor of l and g. 10 Let y be (-6)/(-3 - 0) + 2. Suppose y*k - 8*k = -4. What is the highest common factor of k and 3? 1 Suppose 585 = 5*d + q, -d - 4*q + 9*q = -117. Calculate the greatest common factor of 13 and d. 13 Suppose 6 = 3*i - 0*i. What is the highest common divisor of i and 3? 1 Let d be 0 - 4/(8/(-6)). Let w = 71 - 6. Suppose d*i - w = -2*i. Calculate the highest common divisor of i and 13. 13 Let s(r) = -r**2 + 4*r - 6. Let k be s(4). Let q be 2/k - 588/(-36). Calculate the greatest common factor of 4 and q. 4 Let c = -8 - -6. Suppose 2*h + 10 = -y, -2 = 4*y + h + 10. Let l be y + (18/c)/(-3). What is the highest common divisor of 1 and l? 1 Suppose 2*h - 12 = -2. Let l = -46 - -51. Calculate the highest common divisor of h and l. 5 Let d = 5 + 1. Suppose -3*h - 12 = -3*a + d*a, 9 = -3*h. Let j be a/(0 - 1/12). What is the highest common divisor of j and 84? 12 Let t(s) = 6*s + 3. Let f be t(4). What is the highest common divisor of 3 and f? 3 Suppose -1 = 3*p - 4. Let k be (-2)/(-3) - (-50)/15. Calculate the highest common factor of k and p. 1 Suppose 0*a - 3*a + 1512 = 0. Let v = a + -240. Let f(t) = -13*t - 2. Let i be f(-2). Calculate the greatest common factor of v and i. 24 Let c = -13 + 16. Suppose u + c*j = 69, 2*j - 8 + 2 = 0. What is the greatest common factor of u and 15? 15 Suppose -2*p = 3*p - 35. Let w = 7 - 0. What is the highest common factor of p and w? 7 Let k(y) = y**2 + 3*y + 6. Let d be k(-4). Calculate the greatest common divisor of d and 15. 5 Suppose 0*k + 2*k - 30 = 0. Calculate the greatest common factor of 120 and k. 15 Let q(z) = z**2 + 6*z - 4. Let u be q(-7). Suppose -2*j + 7 = -u. Suppose t - 72 = -j*i, 3*t + 8 + 0 = i. What is the highest common factor of 14 and i? 14 Suppose 2 = -b + j - 2*j, -3*b + 4*j + 22 = 0. Suppose -5*z + 0 + b = -2*h, 0 = -2*z + h. Calculate the highest common divisor of 18 and z. 2 Let p = 9 + -5. What is the greatest common factor of 2 and p? 2 Let q(s) = 35*s**2 - s. Suppose 5*f = -0*f + 5. Let j be q(f). What is the highest common factor of j and 51? 17 Suppose 0 = -0*h + h. Suppose 100 = 5*o - h*o. What is the highest common factor of o and 140? 20 Suppose 0 = 3*n - 4*n + 5. Let v = 9 + n. What is the greatest common divisor of v and 7? 7 Let s(r) = r**3 - 5*r**2 - 6*r - 4. Let f be s(6). Let x be 116/36 - f/(-18). Calculate the highest common divisor of x and 33. 3 Let i = -44 + 72. Calculate the highest common factor of 84 and i. 28 Let n(h) = 3*h**2 - 3*h + 1. Let t be n(5). Suppose 2*g - c = -5*c + 38, -4*c + t = 3*g. What is the highest common divisor of g and 253? 23 Let v be (-2)/7 - 16/(-56). Let f be v + (-3 - -2) + 12. Calculate the highest common factor of f and 11. 11 Let o = 61 - 55. Calculate the greatest common factor of 66 and o. 6 Suppose -j + 0*j = -24. Let z = -61 - -69. Calculate the greatest common factor of j and z. 8 Let w be (-44)/(-6)*(-27)/(-18). Let u be 2/2 - (2 + -2). Calculate the highest common divisor of w and u. 1 Suppose 2*u + 68 = 4*u + 4*b, 4*u = -b + 101. What is the highest common divisor of 8 and u? 8 Let z(o) = -2*o - 7. Let y be z(-5). Suppose -y*w = -1 - 5. Let k be 50/(-15)*(-3)/w. Calculate the greatest common factor of 15 and k. 5 Let y = -8 + 10. Suppose y*b = 3*f + 7 - 44, b = -f + 19. What is the greatest common factor of f and 60? 15 Let g be 7/(-3) + 2/6. Let h be (-6)/2 - (g + -51). Calculate the highest common divisor of 20 and h. 10 Suppose 26 = 2*b + 2*u, -2*u - 3*u = -4*b + 61. Suppose 5*y = -5*h + 102 + 23, -4*h = y - 16. Calculate the greatest common divisor of y and b. 14 Let b(m) = 193*m + 28. Let r be b(2). What is the greatest common divisor of r and 46? 46 Let l be 2/(-6) - (-362)/6. Let r(q) = q + 12 - q**2 + 2*q + 6*q. Let z be r(9). What is the highest common factor of z and l? 12 Let j = 10 + 54. What is the highest common factor of j and 96? 32 Let d = 30 + -26. What is the greatest common factor of d and 6? 2 Let h = 106 - 56. What is the highest common divisor of 20 and h? 10 Let d be 39/4 + (-2)/(40/15). Calculate the highest common divisor of d and 6. 3 Let g(z) = 2*z**2 - 5*z + 4. Let i be g(6). Suppose 3*o - i = -1. Let q be (75/6)/((-2)/(-12)
{ "pile_set_name": "DM Mathematics" }
t a(k) = -k**3 - 22*k**2 - 20*k + 12. What is a(-21)? -9 Let n(g) = g**3 - 1. Calculate n(-2). -9 Let t(a) = -a**2 + 6*a + 17. Give t(9). -10 Let w(v) = -v**3 + 14*v**2 - 14. What is w(14)? -14 Let p(g) = g**2 + 42*g + 59. Give p(-40). -21 Let v(c) = -21*c + 24. Give v(0). 24 Let o(f) = 2*f**3 + 17*f**2 + 11*f + 14. Determine o(-8). -10 Let k(j) = -j**3 + 10*j**2 + 8*j + 7. What is k(11)? -26 Let i(w) = 15*w - 851. Give i(57). 4 Let l(j) = -j + 26. Determine l(-6). 32 Let d(f) = -19*f. Determine d(1). -19 Let w(j) = j**2 - 23*j + 33. What is w(21)? -9 Let h(k) = k + 8. What is h(0)? 8 Let o(v) = 6*v - 5. What is o(2)? 7 Let k(z) = z**2 + 10*z + 23. Give k(-10). 23 Let j(t) = -102*t - 714. Calculate j(-7). 0 Let u(k) = -k**2 + 18*k - 41. Calculate u(14). 15 Let r(k) = k**3 - 4*k**2 - 5*k - 8. What is r(5)? -8 Let u(a) = a**3 - 9*a**2 - 3*a + 12. Calculate u(9). -15 Let a(o) = -5*o**2 + o. What is a(1)? -4 Let x(b) = -b**3 + 2*b**2 + 3. What is x(2)? 3 Let o(u) = -u**3 + 5*u**2 - 16*u + 31. What is o(3)? 1 Let x(s) = -s + 10. Determine x(-7). 17 Let f(b) = -3*b - 7. Determine f(-9). 20 Let c(y) = -7*y - 2. Determine c(2). -16 Let d(n) = n**3 - 9*n**2 + 2*n - 4. What is d(9)? 14 Let l(c) = -12*c - 38. Determine l(-3). -2 Let z(v) = -v**3 + 8*v**2 + 8*v + 5. What is z(9)? -4 Let s(y) = y**3 - 10*y**2 + 6*y + 9. Calculate s(9). -18 Let u(p) = 17*p + 20. Calculate u(0). 20 Let p(f) = f**2 + 8*f - 1. Determine p(-5). -16 Let i(q) = -q**2 + 2*q + 3. Determine i(-6). -45 Let d(b) = -4*b**2 - 5*b - 4. Determine d(-2). -10 Let m(g) = 3*g**3 - 2*g**2 + g + 2. Calculate m(-1). -4 Let z(a) = -a - 45. Give z(-21). -24 Let n(j) = j - 31. Determine n(9). -22 Let s(a) = 3*a**2 - 8*a + 5. Determine s(3). 8 Let r(p) = p**3 + 4*p**2 + p + 1. Calculate r(-2). 7 Let v(k) = 4*k**2 + 19*k + 3. What is v(-8)? 107 Let c(j) = 5*j**2 + 4*j + 4. Determine c(-1). 5 Let a(f) = -12*f + 15. What is a(-6)? 87 Let t(c) = 3*c**2 + 20*c + 69. Calculate t(-4). 37 Let j(r) = -r**2 + 38. Calculate j(-6). 2 Let g(o) = -8*o**2 + 4*o - 15. Determine g(3). -75 Let l(m) = -m**3 - 21*m**2 + 21*m - 23. What is l(-22)? -1 Let q(w) = 7*w - 18. Determine q(9). 45 Let x(u) = -51*u + 8. Calculate x(3). -145 Let y(m) = -m**3 - m**2 + 15*m + 14. What is y(0)? 14 Let c(p) = -p - 25. Give c(-12). -13 Let v(i) = -i**2 + 8*i - 23. What is v(8)? -23 Let l(c) = 2*c**2 + 5*c + 10. What is l(-9)? 127 Let c(q) = -q**3 - 6*q**2 - q + 10. Give c(-4). -18 Let z(w) = w**3 + 8*w**2 + 3*w + 3. What is z(-8)? -21 Let r(q) = -9*q - 3. Give r(-5). 42 Let m(l) = l**3 - 7*l**2 + 2*l + 5. Determine m(6). -19 Let a(h) = -h**2 - 20*h - 7. Determine a(-16). 57 Let l(y) = 4*y - 37. What is l(8)? -5 Let c(x) = 10*x - 1. Determine c(2). 19 Let g(x) = 2*x + 46. Determine g(-21). 4 Let l(b) = 11*b**3 + b**2 - b. Calculate l(1). 11 Let j(n) = -n**3 - 7*n**2 - 2*n - 16. Calculate j(-8). 64 Let q(k) = 155*k - 466. What is q(3)? -1 Let g(z) = z**3 + 17*z**2 - 19. Calculate g(-17). -19 Let l(a) = 2*a + 8. Calculate l(-2). 4 Let d(o) = -o**3 + 17*o**2 - 5. What is d(17)? -5 Let c(z) = -z**3 + 17*z**2 + 59*z + 15. Determine c(20). -5 Let f(q) = -q + 12. What is f(-4)? 16 Let j(g) = 47*g + 2. Determine j(-1). -45 Let y(i) = -30*i**2 + 2*i + 1. Give y(-1). -31 Let t(o) = o**3 + 6*o**2 - 9. Give t(-6). -9 Let p(o) = 7*o - 22. What is p(-7)? -71 Let f(n) = n**3 - 12*n**2 + n - 1. What is f(12)? 11 Let j(m) = m**2 - 6*m - 6. Calculate j(6). -6 Let b(t) = -3*t**2 + 44*t + 119. Give b(17). 0 Let n(s) = -2*s**3 + 10*s**2 - 4*s + 6. Determine n(5). -14 Let d(k) = k - 5. Give d(4). -1 Let q(f) = 48*f**3 - 2*f**2 + 3*f - 2. Calculate q(1). 47 Let x(m) = m**2 + 17*m + 13. Give x(-16). -3 Let j(b) = -3*b**2 + 9*b - 2. Determine j(10). -212 Let d(m) = 6*m + 279. Give d(-45). 9 Let g(f) = -4*f + 116. Give g(29). 0 Let j(v) = -3*v**2 + 8*v + 2. What is j(3)? -1 Let u(l) = l**2 + 9*l + 9. Calculate u(-7). -5 Let c(h) = -h**3 - 27*h**2 + 56*h - 65. Calculate c(-29). -7 Let l(i) = -i**3 - 14*i**2 + 50*i - 19. Determine l(-17). -2 Let l(d) = d**2 - 2*d - 24. What is l(0)? -24 Let y(w) = w**3 + 12*w**2 - 7*w - 2. What is y(-12)? 82 Let k(z) = -2*z**2 - 46*z - 3. Determine k(-22). 41 Let n(r) = -r**2 - 3*r + 8. What is n(0)? 8 Let t(d) = 4*d**3 + 3*d**2 + d + 2. Give t(-2). -20 Let c(f) = -7*f - 58. Give c(-5). -23 Let p(o) = -o**2 + 9*o - 5. Calculate p(6). 13 Let h(r) = 2*r**2 + 42*r - 50. What is h(-22)? -6 Let h(v) = v**2 + 5*v - 9. Calculate h(-7). 5 Let v(w) = w**3 - 12*w**2 + 18*w + 14. Give v(10). -6 Let d(s) = s**2 - 9*s + 9. Calculate d(9). 9 Let o(k) = -5*k - 27. Determine o(-6). 3 Let r(b) = -b**3 + 38*b**2 + 82*b - 89. Determine r(40). -9 Let c(o) = -o**2 + 9*o - 18. Determine c(2). -4 Let r(n) = -n**3 - 8*n**2 + 6*n - 4. Calculate r(-9). 23 Let k(t) = t**3 - 6*t**2 - 28*t + 15. Calculate k(9). 6 Let l(y) = -2*y**2 - 8*y - 3. Give l(-6). -27 Let q(u) = 8*u - 33. What is q(5)? 7 Let s(v) = v**3 - 12*v**2 + 10*v + 6. What is s(11)? -5 Let k(d) = -8*d + 306. Give k(39). -6 Let o(g) = 3*g**2 + 8. Determine o(-5). 83 Let v(q) = -q**2 + 15*q - 43. Give v(5). 7 Let l(s) = -16*s - 1. Calculate l(-1). 15 Let j(x) = -x**3 - 2*x**2 + 37*x + 13. Determine j(-7). -1 Let c(b) = b**2 + 8*b + 5. Calculate c(-9). 14 Let w(s) = -s**2 + s + 4. Give w(0). 4 Let o(a) = -14*a - 7. What is o(-3)? 35 Let n(m) = -m**2 + 3*m - 71. Determine n(0). -71 Let o(j) = j**3 - 13*j**2 + 10*j - 20. Determine o(12). -44 Let g(w) = w**2 - 8*w - 5. Calculate g(9). 4 Let i(p) = -30*p**2 + 6*p + 7. What is i(-2)? -125 Let x(w) = 2*w + 1. What is x(-4)? -7 Let l(b) = -b**3 - 20*b**2 - 18*b + 8. Determine l(-19). -11 Let u(q) = 3*q**2 + 7*q - 3. What is u(3)? 45 Let o(j) = -j**3 + 2*j**2 - 4*j + 4. Give o(3). -17 Let f(c) = 25*c - 6. Give f(-3). -81 Let y(v) = v**2 - v + 1. Determine y(-5). 31 Let o(q) = -15*q - 4. Determine o(0). -4 Let p(t) = t + 15. Give p(-11). 4 Let y(o) = o - 4. Give y(6). 2 Let l(t) = -t**3 + 6*t**2 + 11*t + 23. What is l(8)? -17 Let r(k) = -k + 12. Calculate r(-10). 22 Let h(m) = 3*m**2 - 78*m - 54. Calculate h(27). 27 Let a(x) = -2*x + 6. What is a(5)? -4 Let p(q) = -2*q**2 - 3*q. Give p(-5). -35 Let j(o) = -2*o**3 - 6*o**2 - 2*o - 3. What is j(-4)? 37 Let t(c) = -c**3 + 13*c**2 - 29*c - 3. Calculate t(10). 7 Let a(c) = -c**2 - 29*c - 183. Calculate a(-20). -3 Let j(o) = 3*o. Give j(-2). -6 Let n(f) = -f**3 - 31*f**2 + 35*f + 95. Calculate n(-32). -1 Let f(k) = 16*k**2 - k - 2. Determine f(-1). 15 Let w(x) = -110*x**2 - 4*x + 3. Determine w(1). -111 Let v(z) = z**2 - 17*z - 21. Give v(19). 17 Let s(d) = 5*d - 36. Determine s(-5). -61 Let d(z) = z**3 + 13*z**2 + 25*z + 26. Determine d(-11). -7 Let w(a) = -a**2 + 4*a + 5. Calculate w(5). 0 Let i(k) = -2*k**3 + k**2 + 11*k - 35. Determine i(3). -47 Let w(r) = r**3 - 36*r**2 + 71*r - 115. Determine w(34). -13 Let w(l) = l**2 - 5*l - 6. What is w(6)? 0 Let f(s) = 2*s**3 + s**2 - 2*s + 4. Determine f(-3). -35 Let o(g) = -7*g - 5. Determine o(-5). 30 Let t(a) = a**2 - 9*a - 133. Calculate t(17). 3 Let g(t) = -2*t**2 + 17*t - 12. Give g(11). -67 Let b(k) = -k**3 + 18*k**2 - 15*k + 46. Calculate b(17). 80 Let m(n) = n**3 + 34*n**2 + 6. Determine m(-34). 6 Let i(m) = m + 14. Give i(-24). -10 Let m(a) = a**3 - 5*a - 2. Calculate m(4). 42 Let d(l) = -l**3 - 2*l**2 - 4. Give d(-3). 5 Let a(x) = -3*x + 32. Give a(14). -10 Let y(s) = 9*s + 14. Give y(-4). -22 Let y(q) = -5*q - 30. What is y(-8)? 10 Let v(x) = x**3 - 16*x**2 - 17*x - 3. Calculate v(17). -3 Let c(t) = 3*t + 59. What is c(-22)? -7 Let o(n) = -n**2 + 31*n - 43. Determine o(28). 41 Let g(s) = 5*s**2 - 5*s + 5. Determine g(2). 15 Let d(c) = -6*c - 38. Determine d(-7). 4 Let y(i) = -i - 15. What is y(12)? -27 Let j(w) = -w - 23. Determine j(-12). -11 Let z(b) = -b**3 + 11*b**2 - 10*b - 14. Determine z(10). -14 Let v(n) = 19*n - 170. Determine v(9). 1 Let j(r) = r**3 - 5*r**2 - 5*r - 2. Give j(6). 4 Let z(f) = f**3 + 5*f**2 + 6*f + 9. Give z(-4). 1 Let k(h) = -9*h + 2. Determine k(-6). 56 Let o(f) = -4*f + 28. Determine o(9). -8 Let j(g) = g**3 + 7*g**2 + 2*g + 21. Calculate j(-7). 7 Let s(g) = -g**3 - 10*g**2 + 11*g + 7. Determine s(-11). 7 Let n(s) = -19*s + 664. What is n(35)? -1 Let f(d) = -d**3 - 10*d**2 + 52*d + 445. Determine f(-11). -6 Let f(x) = -2*x
{ "pile_set_name": "DM Mathematics" }
= -11*p(l) - 2*x(l). Let t be k(12). Solve 16 = t*c, 5 = -2*v + 2*c - 11 for v. -4 Let r be (5 - -4)*(1/3 + 0). Solve -r*f - 4*l - 15 = -8*f, -26 = f + 5*l for f. -1 Suppose -10*v - 53 + 53 = 0. Solve -5*z = -4*o - v*o - 32, -3*o = 9 for z. 4 Suppose 0 = 20*j - 4 - 96. Solve -j*n = -f + 4 - 16, -4*n - 4*f = 0 for n. 2 Let j = -283 + 303. Solve 5*s = -4*v + j, -7*s = v - 4*s - 5 for v. 5 Suppose -2*s = -5*m + 44, 3*s + 9*m = 4*m - 41. Let b = -3 - s. Solve -q = -3*g + b, 2*g - 2*q - 6 = -3*q for g. 4 Let l = 36 - 24. Let y be (-3)/l + 51/12. Solve -2*x + 24 - 4 = -y*m, x + m + 5 = 0 for x. 0 Let n(d) = 7*d**2 + 2*d - 2. Let i be n(-1). Solve -5*k + 5 = -5*p - 0*p, 0 = -i*p for k. 1 Suppose -7*i + 6*i + 4*k = 5, -3*k - 9 = -5*i. Solve -i*y + 0*x - 14 = -5*x, -8 = 4*y - 4*x for y. 2 Suppose -5*o - 4*l = -14, -7 = -2*o + 5*l - 8. Solve -o*q = -x - 4, -x + 3*q = 2*x + 3 for x. 2 Let f be (-14)/(-5 + 3) + -2. Let y = 10 - f. Let c(a) = a + 15. Let g be c(0). Solve -5*t = -g, -y*q - 4*t = -11 - 21 for q. 4 Let s(w) = -2*w + 22. Let u be s(10). Suppose u*f - 6*p + p = 0, -3*f - 5*p + 25 = 0. Solve -f*v + 10 = 0, 0 = -4*m - 3*v + 21 - 3 for m. 3 Let x = -12 + 21. Let j be 48/x*(-3)/(-4). Solve -j*v + 21 = -2*z + v, -3*z + 4*v = 21 for z. -3 Suppose -4*x + 36 = 2*p, -6*p = -4*p + 2*x - 26. Let q be (10/p)/(24/192). Let a be -1 + 4/(-1 + 2). Solve 5 = a*u - t + 15, -4*t = -2*u - q for u. -3 Let l be 6/4 - 1/(-2). Let q be ((-2)/(-10))/((-46)/(-690)). Solve 10 = l*b - 0*i - i, 0 = -3*b + q*i + 18 for b. 4 Let o(y) = -y**3 - 3*y**2 - 6*y - 15. Let v be o(-3). Solve 3*x - v*h + 2*h = 10, -10 = -x - h for x. 5 Let n(u) = 13 - 8*u + 40 + 2*u - 11. Let i be n(6). Solve a - 10 = 5*v, -2*v - 4 = a - i*a for v. -2 Let d(a) = a**2 - 9*a - 65. Let h be d(-5). Solve 0 = s - f + 8, -h*s = 3*f + 9 + 7 for s. -5 Suppose 2*o + 20*g = 24*g + 26, -2*o + 1 = g. Solve 2*u = -u + 5*a + o, 2*a + 10 = -u for u. -4 Let g(k) be the first derivative of k**2 - 15*k - 3. Let a be g(9). Solve -2*r + 4*h - 2*h + 4 = 0, -5*h - 26 = a*r for r. -2 Let u(s) = 3*s**2 - 12*s + 7. Let o be u(4). Solve -o*q = -6*q + 3*y + 12, 6 = 2*q - 4*y for q. -3 Let j(v) = 6*v**2 + 2*v + 1. Let h be j(-1). Suppose 14 = -3*l + h. Let y be 2 - (l + 7)/(-4). Solve 3*t - w = -2, 0 = -y*t + 3*w - 0*w for t. -1 Let a = 25 + -16. Let k be (-12)/(-2) - 3/(-4 + 7). Solve -k*i - 13 = -4*o + 4, -a = -3*o for i. -1 Suppose 5*v - 20 = 0, 2*b = 3*v - 2*v. Suppose 0 = -b*r - 2*z, 3*r + 7*z + 6 = 2*z. Solve s = -5*q - 20, -2*s + 4*q = -r*s - 16 for s. 0 Let s = -224 - -226. Solve 0 = -w + s, 3*v - w - 23 = -2*v for v. 5 Let z be -2 - -4 - 2 - -9. Suppose -p = -z*s + 4*s + 23, -4*s + 18 = -p. Solve -4*t - 19 = t + 3*b, s*t + 4*b = -22 for t. -2 Suppose -4*u - 5*i + 91 = 0, -5*i = 7*u - 2*u - 110. Suppose 3*h = -2*g + u, -g + 5*h - 23 = -0*g. Solve -y + 13 = -4*q, 5 = -4*q + g*y - 5 for q. -4 Let r = -771 - -777. Solve w = b, 2*b + 15 = -5*w - r for w. -3 Suppose -d = 5*a - 6, 5*a + 24*d = 29*d + 30. Solve o = 3*m + 1, 4*m - o + 0*o + a = 0 for m. -1 Let p = -16 + 18. Suppose 3*v - p*q + 3*q = 7, 2*v + q - 3 = 0. Suppose -v*c = 2 - 14. Solve -t - 12 = -4*r, 2*t - c*r + 4 = -5 for t. 0 Suppose t + 18 = 4*t. Let s(j) = -j**3 + 7*j**2 - 5*j - 3. Let k be s(t). Solve 5*n = x - 15, 5*x - 5 = k*n - 18 for x. -5 Let b = -48 + 43. Let w be (0 + -2)*(-5 + 9 + b). Solve -2*j - 3 = m - 13, -5*m + 18 = w*j for j. 4 Let w = 43 - 38. Suppose 0 = h - 3*x - 2*x + 18, -3*h - w*x = -26. Solve 4*m - 10 = -3*o + 3*m, 0 = -o + h*m + 15 for o. 5 Suppose -2 = 22*n - 46. Solve -3*b = 3*x, n*x - 4*b - 10 = -b for x. 2 Let p be 380/60 - (-2)/(-6). Suppose 0 = 2*i + i - p. Solve 3*s = -5*o - 15, -i*s - 6 - 4 = o for o. 0 Suppose -3*u + 25 = -11. Suppose -q - 5*g = u - 52, -5*q + 80 = -5*g. Solve -q = b + 2*p + 3*p, 4*b = -p - 4 for b. 0 Suppose 0 = 56*p - 47*p - 27. Solve -13 = -5*w + p*r, -25 - 3 = -4*w - 2*r for w. 5 Let m be (-5 + 7)*30/12. Suppose 0 = b - 4*z, 0*b + 5*z = 2*b - 6. Solve -5*r = -3*r + j - b, m*j + 5 = -r for r. 5 Let l = -175 + 179. Solve -j - l*b + 3*b + 6 = 0, j = 3*b - 6 for j. 3 Let c(o) = -o - 9. Let y be c(-4). Let l = -1 - y. Solve 28 = -l*v - 4*b, -5*b - 16 = v + 3 for v. -4 Let y be (4 + 24/(-4))*-2. Solve 3*h + 19 = -i, i = 6*i - y*h for i. -4 Let w be (-12 - (-42)/4)/((-1)/2). Solve 2*x - 18 = -0*x - w*j, 3*x = 5*j - 11 for x. 3 Suppose 7*k - 543 - 87 = 0. Suppose -3*q + 102 = k. Solve 5*a + 6 = q*a + 2*u, a - u = -4 for a. -2 Let k be (-1)/1*-4 - 2. Suppose 4 - 8 = -2*c. Let l be 0*(4 + -5 + c). Solve 1 = 4*f - k*f + 3*x, l = 3*x - 3 for f. -1 Let p = 659 - 655. Solve 0 = -4*g + w - 2 - 4, -g - p*w - 10 = 0 for g. -2 Suppose 5*t - 5 = b, 4*t + 4*b + 29 - 9 = 0. Solve t = -4*n + 4*u + 28, 5*n + 3*u = -9 + 20 for n. 4 Suppose 5*b - b = -60. Let w be ((-3)/(-2))/(-3) - b/6. Solve -n - 9 = -2*i + w, 3*i = -5*n - 16 for i. 3 Let j = 43 + -39. Suppose -j*p + 0*p = -4, 5*p = -3*t + 17. Solve -3*o + 12 = -2*q - 3*q, 2*q = -o + t for q. 0 Suppose 16*d = 18*d + 94. Let t = d - -47. Solve 3 + 13 = -4*r - 5*z, t = -5*r + z + 9 for r. 1 Let i = 18 - 20. Let m be i/8*0 - -2. Suppose 0 = m*x - 0*x - 6. Solve 4*o + d = 10 + 8, -14 = -4*o - x*d for o. 5 Let t(o) = -2*o**2 - 6*o - 4. Let n be t(-1). Solve d - 5*s = 2*d + 16, -d - 3*s - 10 = n for d. -1 Suppose -9*m - 37 + 136 = 0. Solve -n = -2*b - m, -7*b + 2*b - 3*n = 0 for b. -3 Suppose -283 = -8*r - 27. Let s = 64 - r. Solve -4*u = 4*i + s, -4*i - 3*u = -4*u + 7 for i. -3 Suppose 15*c - 14*c = 28. Solve -18 = u - 3*j, -j - c = u - 6*j for u. -3 Let x be -2 - 104/(-78)*3/2. Solve x = h + 4*l + 19, -2*l + 6*l = -2*h - 22 for h. -3 Suppose -3*q + 4*q = 4. Suppose -4*g - 25 = -5*d, q*g = 3*g. Let p = 219 - 216. Solve -d*m = -p*v + 6, 5*v = 4*m + m + 10 for v. 2 Let k = -21 + 23. Suppose -8 = k*d - y + 5*y, 4*d + 5*y + 4 = 0. Solve 0 = -5*n + 2*m + 4, 3*n + d*m - 3*m = -2 for n. 0 Let t = -38 + 41. Let h be 4 + 4 + t + -9. Solve -3*y - 5*i - 28 = -2*y, -1 = -3*y + h*i for y. -3 Let q = 61 + -64. Let n be 3/9*-3 - q. Solve 2*v = -d - 7, -3*v - 6 = -d - n*d for v. -3 Let h = -172 - -175. Solve -h*j - 2 = j - 2*p, -2*p + 5 = -5*j for j. -3 Let f be ((-28)/3)/(-4) + (-10)/(-15). Solve -5*w - n - f*n + 17 = 0, -4*n = 4*w - 16 for w. 1 Let p(v) = 2*v - 63. Let z be p(34). Solve -q - 5 = 2*h + 2*q, 0 = 5*h + 4*q - z for h. 5 Suppose 3*x = -c + 9, 26*c = 22*c. Solve x*v - 12 = 3*z, z + z + v - 1 = 0 for z. -1 Let g = -39 - -42. Suppose -2*o - 9 = -5*r, -1 = g*o - 10. Solve -3*t - 10 = 4*c, -4 = 5*c - 2*t - r for c. -1 Suppose 5*y - 4*r - 11 = -3*r, y - 3*r - 5 = 0. Solve h - 3 = 3*x - 0*x, -4*h = -y*x + 8 for x. -2 Suppose -z = 2*h, -4*h = -z - 2*z. Let v = h - -3. Suppose v = g - 2. Solve 0 = 4*d + w + 11, -w = g*d + 2*w + 12 for d. -3 Suppose a - 17 = -0*a. Suppose 5*f = 3*f + 2*d + 14, -5*d = f + a. Solve 2*m = f*k + 15, -m + 30 = 4*m - 5*k for m. 3 Let n = -39 - -2. Let d = n - -37. Suppose 2 = 4*z - 18. Solve -3*m + 2 = i - z*i, -3*i - m - 8 = d for i. -2 Let v be ((-310)/20 - -9)/((-1)/2). Solve -3*s + v = g, -s - 4 = -3*s - 3*g for s. 5 Let h be 44*(-8 - (-33)/4). Solve x = 3*o - h, -4*x = o - 3*o - 6 for o. 5 Let o(j) be the first derivative of j**3/3 + 9*j**2/2 - 32*j - 20. Let z be o(-12). Solve y - 2*v - 2 = 0, z*y + 35 - 7 = -4*v for y. -4 Let z be (-50)/(-4) + 1/(-2). Suppose 13 + 10 = -7*f + 51. Solve 2*x + z = f*l, l - 7 = -3*x + 3 for x. 2 Suppose 4*z - 5*u - 72 = 0, 0 = -10*u + 5*u + 20. Solve 0 = -f - 3*r - 2*r - z, 11 = -2*f - 3*r for f. 2 Let r = -1213 - -1219. Solve 3*q - 2*n - 14 = 0, 0 = -0*q - 5*q - 4*n - r for q. 2 Suppose 8 = 2*s - 2*q + q, 5*q = -3*s + 12. Suppose -5*g = -s*g + 6. Let j = 10 + g. Solve r + 3*n - 7 = 8*n, 4*r = -j*n + 4 for r. 2 Let g(a) = 57*a - 549. Let r be g(10). Let s(w) = w**3 - 6*w**2 - 7*w. Let m be s(7). Solve -k + m*b - 1 = -3*b, 4*k + r = -5*b for k. -4 Suppose -s = 2*s + 120. Let o be s/16*-2*1. Let i = o + 0. Solve -2*c = m - 5, -4*c = -0*m + i*m - 13 for m. 1 Let w(s) = 3*s + 20. Let x be w(-9). Let f be 114/14 - (-1)/x. Solve 4*d - 4*n + f = 0, -d - 20 = -n + 6*n for d. -5 Let n(x) be the third derivative of x**6/120 - x**5/6 + x**4/3 + 11*x**3/6 + 52*x**2. Let f be n(9). Solve 4*r = 5*t - t - 24, -8 = -f*t for r. -2 Let f be (10
{ "pile_set_name": "DM Mathematics" }
hat is the nearest to 20 in -3/5, 3249, -2/19? -2/19 What is the closest to -1/4 in -5, -6/49, 0.5, 9? -6/49 Which is the closest to 2/9? (a) -2 (b) -0.3 (c) -34 (d) -3 b What is the closest to -0.02 in -0.1, -5, -0.02? -0.02 Which is the nearest to 906? (a) -4 (b) 0 (c) 1/9 c Which is the nearest to 7? (a) 3 (b) -0.2 (c) 1 (d) 0.2 a Which is the closest to 1? (a) -1/10 (b) 0.5 (c) 0 (d) -515 b Which is the nearest to 0.1? (a) -60 (b) -5 (c) 3 (d) 4/5 (e) 0.1 e What is the nearest to -0.1 in -1/6, 4, -0.1381, -4, 0.4? -0.1381 What is the nearest to -0.1 in -2/7, -1/10, 0.4, 4? -1/10 Which is the closest to 4/3? (a) -0.03 (b) 5 (c) -5 (d) 1/152 d What is the closest to 16 in 0.3, 31/4, -6? 31/4 What is the closest to -1/13 in -5, 46, 5, -1, 1? -1 Which is the closest to -2/13? (a) -1 (b) 3 (c) -122.7 (d) 0.01 d Which is the nearest to 0.1? (a) -5 (b) 2 (c) -409 (d) -3 b Which is the nearest to -0.01? (a) -10.5 (b) 5 (c) 3 c Which is the closest to 0? (a) -2/17 (b) 1/4 (c) 0.1 (d) 414364 c What is the closest to 1/4 in -1/5, 31, -5.67, -5? -1/5 What is the nearest to -1/3 in -4/3, -0.2, 0.14, 33/17? -0.2 Which is the closest to 2/71? (a) 0.5 (b) -1/9 (c) 1/18 c What is the closest to 36 in -2, -5, -11, -1/3? -1/3 Which is the nearest to -57? (a) -4/3 (b) -252/59 (c) 4 (d) 1 b What is the closest to -1/8 in 4/5, 0.2, -5, 0.04798? 0.04798 Which is the closest to 0? (a) 0.2 (b) -0.837 (c) 0.4 a Which is the closest to 0.01? (a) 95 (b) -0.1 (c) 3 (d) -9/10 b Which is the closest to -0.1? (a) 1/36 (b) 5 (c) 3/4 a What is the closest to -0.4 in -258, -5, -0.5, 0.03? -0.5 Which is the nearest to -1? (a) -1.8 (b) 4 (c) -0.143 (d) -1/7 a What is the closest to -5 in -249, 5, 1/5? 1/5 What is the closest to -4 in 2, 2/9, 114, -3/4? -3/4 What is the closest to 34/25 in 4, 0.0189, 2? 2 Which is the nearest to 0? (a) -3 (b) -2/5 (c) -33/5 (d) -5 (e) -3/8 e What is the closest to 2/7 in -2/7, -2, -259, -3, -1/33? -1/33 Which is the closest to -2? (a) -0.33 (b) 0.1 (c) -0.01 a Which is the nearest to -0.02? (a) 3 (b) -0.04 (c) -0.37 (d) 0.13 b What is the nearest to 6063 in 0.7, 2, -4? 2 Which is the nearest to -1/2? (a) -0.042 (b) -2/97 (c) -5 (d) -4 a What is the closest to -0.1 in -2.2, -12, 1, -0.5? -0.5 Which is the nearest to 866/11? (a) 2 (b) 4 (c) -1/5 b What is the closest to 1 in 1, 2131, 6/7? 1 What is the nearest to -13 in 1, -5, -0.2, -0.3, -2/189? -5 What is the closest to 0 in -0.1, -1, -561/2, 6, -4/5? -0.1 What is the closest to -12 in 3/2, -11/8, -2, -5? -5 Which is the nearest to 0.04711? (a) -0.7 (b) 5/4 (c) -1 a Which is the nearest to 1543? (a) -0.5 (b) -4/5 (c) -5 a Which is the nearest to 0.24? (a) -5 (b) 8 (c) -27 (d) 6 a Which is the closest to 0? (a) 57 (b) -3 (c) 2 c What is the nearest to -1/1183 in 4, -2/11, 2/3, -27? -2/11 Which is the nearest to 584? (a) -3/5 (b) -0.4 (c) 1 (d) -1/5 c What is the nearest to -0.036 in 0.04, 2, -84, 5? 0.04 What is the closest to 1 in 1.68, 129, -0.1, -5? 1.68 Which is the nearest to -0.04? (a) 4 (b) -1/4 (c) -2/69 (d) 15554 c What is the closest to -0.16 in -1/34, 0, 1, -0.3? -1/34 What is the nearest to 66 in 20, -1/8, -6/7? 20 Which is the closest to -42? (a) 0.5 (b) -2/5 (c) -0.018 b What is the closest to -0.2 in 0.5, 0.4, 9.104? 0.4 Which is the nearest to 36? (a) 4 (b) -2 (c) 1.3 (d) -4/9 (e) 4/3 a Which is the closest to 119? (a) 5 (b) -74 (c) -3 a What is the closest to -2 in -0.12, 257, 7/3, 0.5? -0.12 Which is the closest to 6? (a) 7 (b) 3/5 (c) -7/5 (d) 0.5 a What is the closest to 226/3 in -3, 0.3, -5? 0.3 What is the nearest to -1/3 in 16, -1/22, -0.09, 4? -0.09 Which is the nearest to 2/7? (a) 11.5 (b) -44 (c) -3 c Which is the closest to 0.6? (a) -0.5 (b) -21106 (c) -5 a What is the closest to 15 in 24/13, 0.13, 2, 0.1? 2 Which is the nearest to 1? (a) 0.2 (b) 0.4 (c) -24113 b Which is the nearest to 0.1? (a) -3/7 (b) 58 (c) -5 (d) 3 a What is the closest to 3 in -3/8, -5, 219, 0, 1? 1 What is the closest to 17 in -1/8, 77, 1, -0.3? 1 Which is the closest to -7? (a) 0 (b) -4 (c) 1 (d) 142 (e) 0.05 b What is the closest to 26 in -8/33, -0.4, -0.5, -0.2? -0.2 Which is the nearest to 0? (a) 3/4 (b) -0.5 (c) 8 (d) 7 (e) -352 b Which is the nearest to 0.4? (a) -5/2 (b) 61 (c) 7/4 c Which is the closest to -0.1? (a) 1 (b) -3/4 (c) -0.30966 c What is the nearest to -1 in -4/3, 5/14, 71, 0.2, -3? -4/3 What is the closest to 0.1 in -5, -0.4, 3/8, 2/109? 2/109 Which is the closest to -0.1? (a) 0.1 (b) 2/11 (c) 72 (d) 1/2 (e) -52 a Which is the closest to 9? (a) 3/2 (b) -1 (c) -2 (d) 1 (e) -484 a What is the closest to -0.1 in -1/3, -612.06, 1? -1/3 Which is the nearest to -1? (a) -1.4 (b) -814 (c) -1/5 a What is the nearest to 204 in -2/7, 145, -0.4, -0.5? 145 What is the closest to 1 in 0, 1/4, 6/11, 0.48, 1/2? 6/11 Which is the closest to -1? (a) -77120 (b) 27 (c) -1 c Which is the closest to 4? (a) -16 (b) -1/4 (c) 9/5 (d) -9 (e) -0.2 c What is the closest to -1 in -0.2, -0.5, -2/83, -4715, -1? -1 What is the closest to 0 in 7/11, 22, 5, -0.1, -2? -0.1 Which is the closest to -1? (a) 0.4 (b) 4 (c) 1.76 (d) -163 a Which is the nearest to -0.2? (a) -0.3 (b) 4 (c) -1 (d) 5839 a Which is the closest to 0.1? (a) -125 (b) -3.7 (c) 61 (d) -1/6 d Which is the nearest to 2/23? (a) 0.01 (b) -1/8 (c) -7 (d) -5 a Which is the closest to 2/7? (a) -3 (b) -0.07 (c) -88.475 b Which is the closest to -21? (a) -1/3 (b) 3/7 (c) 48/5 a What is the nearest to 1 in 0.1, -2, -123, -6? 0.1 What is the nearest to 5630 in -3, -40/3, 0? 0 What is the closest to 3 in 28, 2, 1/3, -50? 2 What is the nearest to 6 in 1, 3, -15? 3 What is the closest to -917 in -0.3, 0.06, -0.11, -3? -3 Which is the nearest to 2? (a) -3 (b) -5/3 (c) 126 b Which is the nearest to 0? (a) 8.8 (b) 197 (c) -10 a Which is the nearest to 1? (a) 0.2 (b) -1/6 (c) 8/13 (d) -3 c What is the nearest to -35/11 in -4, 1, -2/13, -76? -4 What is the nearest to -31 in -0.2, 1/47, 1, 5, -3? -3 What is the closest to 56 in 0.3, -4.3, 1, 7? 7 What is the nearest to 1/11 in 2/3, 3, -16.7? 2/3 Which is the closest to 13? (a) 415 (b) 3/5 (c) 3/2 (d) -4 c What is the nearest to -3635 in 3, -3, -0.3, -26/11? -3 Which is the nearest to 2? (a) -0.225 (b) 2/13 (c) -0.2 (d) 0.05 b Which is the nearest to -0.2? (a) 3 (b) 0.6 (c) -3 (d) 4/7 (e) -2/17 e Which is the closest to 1/2? (a) -3/8 (b) -5 (c) -32 a Which is the closest to -0.1? (a) -3 (b) 5 (c) 3 (d) -312 a Which is the nearest to -7? (a) -2 (b) -1/3 (c) 1/5 (d) 4 (e) 6 a What is the nearest to -3 in -1/2, 281, -1/3? -1/2 Which is the nearest to 1/4? (a) 2/3 (b) -215/4 (c) -0.2 (d) -0.04 (e) -2/5 d What is the nearest to -3 in -2, 2/3, -0.4, 46/9, 5? -2 Which is the nearest to -0.1? (a) -1/7 (b) 0.6 (c) -1/27 (d) -4 (e) 355 a Which is the closest to -1? (a) 0.1 (b) -1 (c) 5 (d) 0 (e) 0.34 b What is the closest to 3/4 in 100, 0, -30/13? 0 Which is the nearest to -1? (a) -3/11 (b) -0.01 (c) 0 (d) 50 (e) -0.4 e What is the closest to 0.0436 in 696, -0.5, -2/3? -0.5 What is the nearest to -1/5 in 7, 0.05, 0, 26/7, 1? 0 Which is the nearest to 1? (a) -4/3 (b) 30 (c) -2/11 (d) 157 c Which is the nearest to 1567? (a) -5 (b) -146 (c) -2/15 (d) -2 c What is the closest to -2/5 in 3, 4/5, -3/4, -73844, -5? -3/4 What is the closest to -2 in 0.01, 13, 10? 0.01 Which is the nearest to 0? (a) -0.5 (b) 73 (c) -5 (d) 51 a What is the closest to 6/59 in 0, 0.015, -3, 0.1, 1/7? 0.1 What is the nearest to -1 in -1/10, 2/19, 4, 7/120, 2? -1/10 Which is the nearest to 3/49? (a) 3 (b) -2/3 (c) 106/7 (d) 0.1 (e) -1.3 d Which is the closest to 7? (a) -3/2 (b) 3 (c) 5 (d) 13413 c Which is the closest to -16.1? (a) 8 (b) 2/5 (c) 2 (d) -3 d What is the closest to 0.43 in -0.4, -31, 6, -5? -0.4 Which is the nearest to 2? (a) -0.5 (b) 9/29 (c) -0.3 (d) -52 b Which is the nearest to -2? (a) 55 (b) -11 (c) -1/4 (d) 0.1 (e) 2 c What is the nearest to 1 in -2/1381, -0.1, 1.2, -3? 1.2 What is the closest to 2 in 201/2, -1/5, -4, -5? -1/5 What is the nearest to -4/3 in
{ "pile_set_name": "DM Mathematics" }
at is the o'th term of 46, 90, 150, 232, 342, 486? o**3 + 2*o**2 + 31*o + 12 What is the m'th term of -17, -32, -47, -62? -15*m - 2 What is the i'th term of -174, -342, -510, -678? -168*i - 6 What is the k'th term of 1792, 1790, 1786, 1780? -k**2 + k + 1792 What is the u'th term of 628, 629, 632, 637, 644? u**2 - 2*u + 629 What is the z'th term of 275, 279, 293, 323, 375, 455, 569? z**3 - z**2 + 275 What is the y'th term of -228, -243, -258, -273? -15*y - 213 What is the u'th term of -163, -1216, -4071, -9628, -18787, -32448, -51511, -76876? -150*u**3 - u**2 - 12 What is the l'th term of 2, 33, 92, 185, 318, 497? l**3 + 8*l**2 - 7 What is the y'th term of -91, -107, -131, -169, -227, -311? -y**3 + 2*y**2 - 15*y - 77 What is the i'th term of -1114, -1118, -1122, -1126, -1130, -1134? -4*i - 1110 What is the x'th term of -40, -49, -64, -85, -112, -145, -184? -3*x**2 - 37 What is the q'th term of 128, 45, -36, -115, -192, -267, -340? q**2 - 86*q + 213 What is the r'th term of 85, 82, 79, 76, 73, 70? -3*r + 88 What is the o'th term of -6317, -6321, -6325, -6329, -6333? -4*o - 6313 What is the t'th term of -264, -275, -286, -297, -308? -11*t - 253 What is the v'th term of 13, 38, 107, 244, 473, 818? 4*v**3 - 2*v**2 + 3*v + 8 What is the t'th term of 2, 18, 38, 62, 90, 122? 2*t**2 + 10*t - 10 What is the c'th term of 107, 182, 209, 164, 23, -238? -4*c**3 + 103*c + 8 What is the g'th term of 116, 115, 114, 113, 112, 111? -g + 117 What is the w'th term of 1965, 3932, 5901, 7872, 9845, 11820, 13797? w**2 + 1964*w What is the q'th term of -7, 7, 57, 161, 337? 3*q**3 - 7*q - 3 What is the l'th term of -9, -13, -23, -39, -61, -89, -123? -3*l**2 + 5*l - 11 What is the c'th term of 137, 278, 419, 560, 701? 141*c - 4 What is the i'th term of -96, -102, -110, -120, -132, -146? -i**2 - 3*i - 92 What is the n'th term of -23, 14, 75, 160? 12*n**2 + n - 36 What is the j'th term of -1, -7, -15, -25, -37, -51? -j**2 - 3*j + 3 What is the k'th term of 2, 21, 42, 59, 66, 57, 26, -33? -k**3 + 7*k**2 + 5*k - 9 What is the a'th term of -1, -30, -99, -226, -429, -726, -1135, -1674? -3*a**3 - 2*a**2 - 2*a + 6 What is the v'th term of 50, 85, 128, 185, 262, 365? v**3 - 2*v**2 + 34*v + 17 What is the s'th term of 373, 367, 359, 349, 337, 323? -s**2 - 3*s + 377 What is the h'th term of -220, -264, -310, -358, -408, -460? -h**2 - 41*h - 178 What is the q'th term of 18, 6, -14, -48, -102, -182, -294? -q**3 + 2*q**2 - 11*q + 28 What is the y'th term of 84, 80, 76, 72, 68, 64? -4*y + 88 What is the f'th term of 1761, 1740, 1699, 1632, 1533, 1396? -f**3 - 4*f**2 - 2*f + 1768 What is the k'th term of -66, -114, -144, -156, -150, -126, -84? 9*k**2 - 75*k What is the p'th term of 121, 242, 367, 496? 2*p**2 + 115*p + 4 What is the u'th term of 4, -67, -138, -209, -280? -71*u + 75 What is the j'th term of -148, -294, -440, -592, -756, -938, -1144? -j**3 + 6*j**2 - 157*j + 4 What is the p'th term of 28, 129, 302, 547, 864, 1253? 36*p**2 - 7*p - 1 What is the l'th term of 25783, 51567, 77351? 25784*l - 1 What is the z'th term of 27, 21, 15? -6*z + 33 What is the s'th term of -352, -712, -1086, -1480, -1900, -2352, -2842? -s**3 - s**2 - 350*s What is the s'th term of -63, -124, -185, -246, -307, -368? -61*s - 2 What is the t'th term of -4, 26, 88, 188, 332, 526, 776? t**3 + 10*t**2 - 7*t - 8 What is the f'th term of 189, 735, 1645, 2919, 4557, 6559, 8925? 182*f**2 + 7 What is the h'th term of -58, -61, -78, -115, -178? -h**3 - h**2 + 7*h - 63 What is the s'th term of -124, -250, -376, -502, -628? -126*s + 2 What is the h'th term of -386, -375, -364, -353, -342, -331? 11*h - 397 What is the v'th term of -85, -169, -253? -84*v - 1 What is the d'th term of 86, 127, 196, 293? 14*d**2 - d + 73 What is the d'th term of 37, 60, 93, 142, 213, 312, 445, 618? d**3 - d**2 + 19*d + 18 What is the u'th term of -48, -53, -60, -69? -u**2 - 2*u - 45 What is the m'th term of -987, -991, -995, -999, -1003? -4*m - 983 What is the i'th term of 3236, 3235, 3234? -i + 3237 What is the z'th term of 2441, 2437, 2433? -4*z + 2445 What is the t'th term of -11, -60, -135, -230, -339, -456? t**3 - 19*t**2 + t + 6 What is the t'th term of 514, 986, 1458, 1930, 2402? 472*t + 42 What is the q'th term of 16, 35, 82, 169, 308, 511, 790, 1157? 2*q**3 + 2*q**2 - q + 13 What is the j'th term of 11436, 22862, 34278, 45678, 57056? -j**3 + j**2 + 11430*j + 6 What is the b'th term of 20, 24, 26, 26, 24, 20, 14? -b**2 + 7*b + 14 What is the x'th term of -48, -105, -168, -237, -312, -393? -3*x**2 - 48*x + 3 What is the r'th term of 392, 758, 1104, 1424, 1712, 1962? -r**3 - 4*r**2 + 385*r + 12 What is the n'th term of 0, -8, -26, -54, -92, -140? -5*n**2 + 7*n - 2 What is the k'th term of 1003, 941, 881, 823, 767, 713, 661? k**2 - 65*k + 1067 What is the t'th term of -23, -81, -165, -287, -459, -693, -1001, -1395? -2*t**3 - t**2 - 41*t + 21 What is the f'th term of -74, -356, -1118, -2600, -5042, -8684? -40*f**3 - 2*f - 32 What is the i'th term of 735, 1469, 2203, 2937, 3671, 4405? 734*i + 1 What is the j'th term of -967, -964, -961? 3*j - 970 What is the b'th term of 106, 111, 118, 127, 138, 151, 166? b**2 + 2*b + 103 What is the o'th term of 2533, 5064, 7595, 10126? 2531*o + 2 What is the b'th term of 55, 57, 59, 61, 63, 65? 2*b + 53 What is the l'th term of 138, 117, 88, 57, 30? l**3 - 10*l**2 + 2*l + 145 What is the u'th term of 98, 91, 86, 83, 82, 83, 86? u**2 - 10*u + 107 What is the s'th term of -21, -67, -113, -159? -46*s + 25 What is the j'th term of -132, -135, -138, -141? -3*j - 129 What is the d'th term of -8109, -8107, -8105, -8103, -8101? 2*d - 8111 What is the v'th term of -12, -13, -14, -15, -16, -17? -v - 11 What is the x'th term of -133, -130, -117, -88, -37, 42? x**3 - x**2 - x - 132 What is the w'th term of -12, -72, -222, -504, -960? -7*w**3 - 3*w**2 - 2*w What is the m'th term of 45, 187, 431, 783, 1249, 1835, 2547, 3391? m**3 + 45*m**2 - 1 What is the j'th term of -150, -298, -446, -594? -148*j - 2 What is the m'th term of 240, 232, 210, 168, 100, 0, -138, -320? -m**3 - m**2 + 2*m + 240 What is the u'th term of 558, 1117, 1664, 2193, 2698, 3173, 3612, 4009? -u**3 + 566*u - 7 What is the v'th term of -115, -953, -3233, -7675, -14999? -120*v**3 - v**2 + 5*v + 1 What is the s'th term of 63, 93, 131, 177, 231, 293? 4*s**2 + 18*s + 41 What is the f'th term of 20, 40, 60? 20*f What is the h'th term of 4, -1, -16, -47, -100, -181, -296, -451? -h**3 + h**2 - h + 5 What is the b'th term of -1, 2, 13, 38, 83, 154? b**3 - 2*b**2 + 2*b - 2 What is the g'th term of -8, -15, -22, -29? -7*g - 1 What is the u'th term of 1673, 3347, 5021, 6695, 8369? 1674*u - 1 What is the u'th term of 632, 636, 642, 650, 660, 672, 686? u**2 + u + 630 What is the n'th term of -1543, -1542, -1543, -1546, -1551, -1558, -1567? -n**2 + 4*n - 1546 What is the a'th term of -2124, -2123, -2122, -2121, -2120, -2119? a - 2125 What is the j'th term of -11, 16, 77, 184, 349? 2*j**3 + 5*j**2 - 2*j - 16 What is the f'th term of 506, 500, 490, 476, 458? -2*f**2 + 508 What is the n'th term of -13, 145, 409, 779, 1255? 53*n**2 - n - 65 What is the o'th term of -6, -21, -40, -63, -90? -2*o**2 - 9*o + 5 What is the g'th term of -1706, -3409, -5112, -6815? -1703*g - 3 What is the z'th term of 2099, 2095, 2079, 2045, 1987, 1899, 1775? -z**3 + 3*z + 2097 What is the c'th term of 4411, 8820, 13229, 17638, 22047, 26456? 4409*c + 2 What is the r'th term of 119, 238, 357, 476, 595? 119*r What is the n'th term of -9, -23, -73, -177, -353? -3*n**3 + 7*n - 13 What is the k'th term of -33, -51, -101, -201, -369? -3*k**3 + 2*k**2 - 3*k - 29 What is the u'th term of 2, 19, 52, 101, 166, 247? 8*u**2 - 7*u + 1 What is the o'th term of -842, -1674, -2506, -3338? -832*o - 10 What is the g'th term of -6, 2, 32, 96, 206, 374, 612? 2*g**3 - g**2 - 3*g - 4 What is the q'th term of 26, 54, 80, 104, 126, 146? -q**2 + 31*q - 4 What is the s'th term of -213, -188, -145, -84? 9*s**2 - 2*s - 220 What is the m'th term of -41, -76, -111, -146, -181? -35*m - 6 What is the p'th term of 13, 31, 49, 67, 85? 18*p - 5 What is the m'th term of -83, -97, -125, -173, -247, -353, -497? -m**3 - m**2 - 4*m - 77 What is the m'th term of 1, -4, -9? -5*m + 6 What is the j'th term of -177, -205, -23
{ "pile_set_name": "DM Mathematics" }
? 16 Let f be 3/(-2)*150/(-45). Calculate the greatest common divisor of f and 35. 5 Let y be (0/(-3))/5 - (-32)/2. What is the greatest common divisor of y and 12? 4 Let q be (4/5)/(8/20). Let x(n) = 2 + 0*n + n + 3*n**3 - 3*n**2 - q*n. Let r be x(2). Calculate the highest common factor of r and 30. 6 Let i be (2/(-4))/(36/(-4032)). What is the greatest common factor of 14 and i? 14 Let b(j) = j**2 - j + 95. Let q be b(0). Calculate the highest common divisor of q and 19. 19 Suppose 2*g - 142 = 38. Calculate the highest common divisor of g and 18. 18 Let l(b) = -7*b + 12*b - 7*b + 4. Let q be l(4). Let m be q/((-12)/39) - 1. Calculate the highest common divisor of 48 and m. 12 Let j = 1 + 2. Suppose 4*s - j*q - 444 = 0, 0 = 2*s + 2*s + 3*q - 420. What is the greatest common factor of s and 12? 12 Let a be -2*-3*9/(108/88). What is the highest common divisor of a and 4? 4 Suppose -a - 3*u = -25, 0*a - 4*u = a - 28. Calculate the highest common factor of 8 and a. 8 Let a = -177 + 309. Calculate the greatest common factor of 12 and a. 12 Let c be 1/(3 + 5/(-2)). Suppose -2*s - c*s = 5*w - 133, w + 3*s = 31. Calculate the greatest common factor of 100 and w. 25 Suppose -3*k + 164 = 5*m, 2*m - 4*k = m + 42. Calculate the greatest common divisor of m and 85. 17 Let r be 8/5*(-72 + -3). Let c = r + 168. Calculate the highest common factor of 6 and c. 6 Suppose 0 = 5*z - 28 - 12. Calculate the greatest common factor of z and 8. 8 Suppose -7 + 0 = r. Let m(a) = -a**3 - 7*a**2 - a - 4. Let k be m(r). What is the highest common divisor of k and 3? 3 Suppose 4 = -2*b - 0*b. Let o be ((-88)/b)/4 - 3. Calculate the highest common divisor of o and 4. 4 Let f(z) = 2*z - 7. Let o be f(6). What is the highest common divisor of o and 20? 5 Suppose 0*y = y. Suppose 0 = -3*m + 2*m + 3*u + 930, y = 5*u + 25. Suppose -4*b + 5*r = b - m, 4*r + 171 = b. Calculate the greatest common divisor of b and 17. 17 Let t be (6/(-4))/(1/2). Let v = 5 + t. Calculate the highest common divisor of v and 22. 2 Let h be 5/5 + 0 + 0. Suppose 3*n - 10 = -h. Suppose 3*q + 5*s - 141 = 0, -147 - 12 = -4*q + n*s. Calculate the highest common factor of 14 and q. 14 Let l = -21 - -27. Calculate the highest common factor of 6 and l. 6 Let v(i) = -i**2 - i - 5. Let s be v(0). Let z be (-5)/(s/3) + 17. What is the highest common divisor of 2 and z? 2 Let g(q) = q**2 + 13. Let z be g(0). Let a = 5 + z. What is the highest common factor of a and 9? 9 Let f be -2 - (-4)/6*18. What is the greatest common factor of f and 40? 10 Let a(d) = d**3 - 8*d**2 + 9*d - 4. Let t be a(7). Suppose -w + t = -2. Calculate the highest common divisor of w and 108. 12 Suppose -31 = -10*g + 199. What is the highest common factor of 115 and g? 23 Let b(s) = 2*s**2 + 4*s - 3. Let m be b(3). Let j = 56 + -29. What is the highest common factor of m and j? 27 Let h be (-2 - (-1 - 2)) + -3. Let n be (-13)/h - 3/(-6). Suppose -n = -2*c - 3. Calculate the greatest common divisor of c and 20. 2 Let k = 19 - 0. What is the greatest common divisor of k and 152? 19 Suppose y + 54 = 5*p, 2*p + 0*y - 8 = -3*y. Let z be (1*-10)/(2/1). Let n be (-14)/(-8) - z/20. Calculate the highest common factor of n and p. 2 Suppose -4*i + 28 = -0*i - 4*k, -i - 3*k = 1. Let v be 4*1 - (-9 + 9). Suppose v*d - 2*d = 110. Calculate the highest common factor of i and d. 5 Suppose -l + 3*z + 84 - 20 = 0, -64 = -l - 3*z. Calculate the greatest common divisor of 80 and l. 16 Suppose 3*z = 2*j - 4, -j + 6 = -5*z - 3. Let i be -1 + (z - -1 - -14). What is the greatest common factor of i and 4? 4 Let f(q) = -q + 3 - 3 - 2. Let d be f(-6). Suppose -6*i - 57 = -2*y - i, -4*y + 59 = i. Calculate the highest common factor of y and d. 4 Let q be (10/3)/((-1)/3). Let z(o) = o**2 - 7*o - 8. Let l be z(q). Suppose t = -t + l. Calculate the highest common divisor of 9 and t. 9 Let h be 141 + 1 + (-2)/1. Let w = 103 - 83. Calculate the highest common divisor of w and h. 20 Let d be -4*(36/16 - 4). Let b = -11 - -18. What is the greatest common factor of d and b? 7 Let h = -7 + 11. Suppose h*l = -1 + 9. Suppose u = -u + l. What is the highest common divisor of u and 7? 1 Let m(u) = 2*u**2 + u + 9. Let f be m(9). Suppose 0 = -0*a + a. Suppose 5*s = 3*q + 103, -q = 3*s - a*q - 59. What is the highest common factor of f and s? 20 Suppose -11 = -3*i + 2*i. Let z(v) = 5*v**2 - 4*v + 13. Let y be z(4). Calculate the highest common factor of i and y. 11 Let i(k) = 61*k**2 - 2*k + 3. Let z be i(2). Calculate the highest common factor of 27 and z. 27 Let c = 13 - 31. Let h = c - -27. Let g(p) = -37*p - 2. Let v be g(-2). What is the greatest common factor of h and v? 9 Suppose 3*w + 159 = 4*y, -3*y - 4*w + 14 = -124. Let x(r) = -r**2 - 5*r + 6. Let u be x(-5). What is the highest common divisor of u and y? 6 Let r be 2 + 3/3 + -3. Suppose 3*f - 9 = 4*j, r*j + j = -5*f + 15. Suppose j = 6*x - 4*x - 4. What is the highest common divisor of 3 and x? 1 Let b be 7 - (2 + 1) - -8. Calculate the greatest common divisor of 48 and b. 12 Suppose -7*i = -10*i + 33. Suppose 2*w - 2*b = 36, -5*w + 2*b = -0*b - 102. Calculate the greatest common factor of i and w. 11 Suppose 0 = -5*g + 18 - 3. Suppose 1 = -x - 2*q, -36 = -5*x + g*q + 11. Calculate the highest common divisor of x and 7. 7 Let g(s) = 23*s - 7. Let r be g(3). Let i = 90 - r. Suppose -3*u - 25 = -4*b, b - u + 5*u = -8. What is the highest common factor of b and i? 4 Suppose -5*m = g - 19, -2*m = -m + 2*g - 2. Suppose y + 0*y - m = 0. Calculate the highest common factor of 12 and y. 4 Suppose -i + 0 + 3 = 0, 5*i - 378 = -3*l. Suppose -4*s = -5*z + 109, -4*s = 5*z - 5*s - l. Suppose 2*u = 23 + z. What is the highest common factor of u and 8? 8 Let m = 55 - 28. Calculate the greatest common factor of 162 and m. 27 Let k be 26/(-7) + 6/(-21). Let n be k/6*1*-33. Suppose 2*s - 3*r - 14 = -8*r, 5*s + 5*r = 20. Calculate the greatest common divisor of s and n. 2 Let o be (-1)/(-3) + (-62)/(-3). Let u be 1*(3 + 0/1). Suppose 2*t - 3 = u. What is the greatest common divisor of t and o? 3 Let f = -16 - -33. Let q be (0 + -3)*(-53 + 2). Calculate the greatest common divisor of f and q. 17 Let t = -17 - -29. Let a(q) = -11*q + 1. Let b be a(-1). Calculate the highest common factor of t and b. 12 Let w be (12 + -7)*4/2. Let n be 164/w + 14/(-35). What is the highest common divisor of n and 16? 16 Let q(g) = -4*g - 7. Let t be q(-8). What is the greatest common divisor of t and 250? 25 Let k = 93 - 61. Suppose -4*t + 7 = d - k, 0 = 3*t - 5*d - 35. What is the highest common divisor of 10 and t? 10 Let l be 91/(-5) + 2/10. Let m be ((-6)/4)/(l/132). Let n be (-222)/(-5) + (-6)/15. What is the highest common factor of n and m? 11 Let j be 8*(1 + 1/(-2)). Let n = -30 + 29. Let p be 10/((1/n)/(-1)). Calculate the highest common divisor of p and j. 2 Let o(p) be the first derivative of p**3/3 - p**2/2 + 2. Let g be o(3). Let j be (0 - -1)/(2/132). Calculate the greatest common divisor of j and g. 6 Let v = 167 - 158. What is the greatest common divisor of v and 27? 9 Suppose 6*u = 7*u - 30. Calculate the highest common divisor of 24 and u. 6 Suppose -42 = -4*s + 154. Let r be (-3)/(-6) + s/2. Calculate the highest common factor of r and 5. 5 Suppose -6*g + g + 5*a + 85 = 0, -4*a - 36 = -2*g. Suppose 0 = 3*q - g - 11. Let i(r) = 20*r + 1. Let d be i(4). What is the greatest common factor of q and d? 9 Suppose -5*d + 32 = 2. Suppose 2*k = 5*k - d. Let l(g) = 68*g - 3. Let m be l(k). What is the greatest common factor of 19 and m? 19 Let k = -7 + 11. Suppose 5 = 4*o - 5*b, 4*o + b = -2 + 25. Suppose -o*i - 5*d = -4*d - 178, -3*i = -k*d - 116. What is the highest common factor of i and 4? 4 Let p(d) = -10*d - 38. Let o be p(-4). What is the greatest common divisor of 10 and o? 2 Let z = 1 - -3. Let m = z + 1. Let h be (-20)/(-8)*26/m. Calculate the greatest common factor of h and 13. 13 Let v be 134/8 - 2/(-8). What is the highest common divisor of 136 and v? 17 Let i(a) = 2*a - 10. Let d be i(5). Suppose 0 = -d*o - o + 1. What is the greatest common factor of 3 and o? 1 Suppose -4*p = -48 + 16. Suppose 2*n = -2*m + p, 6*n - 2*n - 11 = -5*m. Let c be 1/(-1 + (-20)/(-18)). What is the greatest common factor of c and n? 9 Suppose -4*p - 168 +
{ "pile_set_name": "DM Mathematics" }
s are there between 8:33 AM and 2:32 PM? 359 What is 137 minutes before 4:40 PM? 2:23 PM How many minutes are there between 7:58 AM and 2:14 PM? 376 What is 568 minutes before 10:32 PM? 1:04 PM What is 250 minutes after 7:24 AM? 11:34 AM How many minutes are there between 8:45 AM and 5:08 PM? 503 What is 680 minutes before 10:12 AM? 10:52 PM How many minutes are there between 11:08 PM and 10:58 AM? 710 What is 596 minutes before 5:11 PM? 7:15 AM What is 123 minutes before 4:10 PM? 2:07 PM What is 265 minutes before 1:26 AM? 9:01 PM How many minutes are there between 11:41 AM and 8:39 PM? 538 How many minutes are there between 6:20 PM and 10:23 PM? 243 What is 136 minutes before 8:19 AM? 6:03 AM What is 107 minutes after 10:13 AM? 12:00 PM What is 444 minutes before 2:44 PM? 7:20 AM How many minutes are there between 12:48 PM and 6:32 PM? 344 How many minutes are there between 4:17 AM and 2:01 PM? 584 What is 546 minutes after 3:06 PM? 12:12 AM What is 204 minutes after 5:43 PM? 9:07 PM What is 209 minutes after 3:49 PM? 7:18 PM How many minutes are there between 4:37 AM and 10:49 AM? 372 How many minutes are there between 5:08 PM and 1:53 AM? 525 How many minutes are there between 5:31 AM and 1:47 PM? 496 What is 700 minutes after 2:21 PM? 2:01 AM What is 175 minutes before 1:26 PM? 10:31 AM What is 296 minutes after 9:01 PM? 1:57 AM How many minutes are there between 2:25 AM and 9:04 AM? 399 How many minutes are there between 11:15 PM and 10:18 AM? 663 What is 505 minutes after 9:30 PM? 5:55 AM How many minutes are there between 7:59 AM and 9:10 AM? 71 What is 158 minutes after 10:33 PM? 1:11 AM What is 110 minutes after 5:51 PM? 7:41 PM What is 693 minutes after 3:16 PM? 2:49 AM What is 142 minutes after 9:46 AM? 12:08 PM What is 612 minutes after 2:24 PM? 12:36 AM What is 63 minutes before 11:42 PM? 10:39 PM How many minutes are there between 6:36 AM and 5:33 PM? 657 What is 707 minutes after 6:53 PM? 6:40 AM What is 628 minutes before 12:30 PM? 2:02 AM What is 693 minutes after 6:03 PM? 5:36 AM What is 324 minutes after 5:08 PM? 10:32 PM What is 9 minutes before 7:35 AM? 7:26 AM What is 488 minutes after 7:22 AM? 3:30 PM What is 560 minutes before 5:26 AM? 8:06 PM How many minutes are there between 10:08 AM and 8:35 PM? 627 How many minutes are there between 5:31 AM and 7:13 AM? 102 What is 553 minutes after 3:34 PM? 12:47 AM How many minutes are there between 6:42 AM and 8:33 AM? 111 How many minutes are there between 4:22 AM and 11:31 AM? 429 How many minutes are there between 1:57 AM and 8:42 AM? 405 What is 237 minutes before 12:23 AM? 8:26 PM What is 154 minutes after 2:30 AM? 5:04 AM How many minutes are there between 12:52 PM and 5:44 PM? 292 How many minutes are there between 7:04 PM and 5:14 AM? 610 How many minutes are there between 1:53 PM and 6:45 PM? 292 How many minutes are there between 11:27 AM and 3:24 PM? 237 How many minutes are there between 6:06 AM and 12:18 PM? 372 How many minutes are there between 1:58 PM and 7:52 PM? 354 What is 71 minutes after 6:10 AM? 7:21 AM What is 327 minutes before 12:46 PM? 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82 How many minutes are there between 12:13
{ "pile_set_name": "DM Mathematics" }
s**3 + 784. -(s - 8)*(s + 14)**2/2 Let -6*t**3 - 600 + 369/4*t**2 - 195/2*t - 3/4*t**4 = 0. Calculate t. -16, -2, 5 Let f = 82095 - 82093. Let -4/17*x**f - 16/17*x + 2/17*x**3 + 0 = 0. What is x? -2, 0, 4 Let g(z) be the first derivative of 2*z**3/21 - 578*z/7 - 617. Determine v, given that g(v) = 0. -17, 17 Factor 91*k**2 + 456 - 279632*k + 279076*k + 13*k**2 - 4*k**3. -4*(k - 19)*(k - 6)*(k - 1) Let m(a) be the third derivative of a**5/12 + 55*a**4/8 + 210*a**3 - 4*a**2 - 681*a. Factor m(y). 5*(y + 12)*(y + 21) Suppose -416 = -18*g - 14*g. Suppose 2*r - g*r = 0. Factor r + 10/7*w**4 + 2/7*w**5 + 6/7*w**3 - 18/7*w**2 + 0*w. 2*w**2*(w - 1)*(w + 3)**2/7 Suppose 0 = 2*t - 5*i + 2*i - 690, 0 = 4*i + 16. Let x = t - 336. Let 4*m**2 - 2*m - m**4 - 3/2*m**x + 1/2*m**5 + 0 = 0. What is m? -2, 0, 1, 2 Let q be 11/(-22) + 99/6. Factor 19*c**2 + 72 - 4*c - 43*c - 35*c**2 + q*c**3 + 35*c - 48*c. 4*(c + 2)*(2*c - 3)**2 Let h(s) be the first derivative of -2*s**5/5 - 35*s**4/2 - 334*s**3/3 + 203*s**2 + 1159. Factor h(r). -2*r*(r - 1)*(r + 7)*(r + 29) What is r in 222774 + 559906 + 1312198*r + 526282 + 3238*r**2 + 2*r**3 = 0? -809, -1 Let q(k) be the second derivative of k**5/140 - k**4/14 - 25*k**3/42 - 9*k**2/7 + 544*k. Factor q(p). (p - 9)*(p + 1)*(p + 2)/7 Let y = -104/73 + -2/511. Let f = y - -16/7. Let 0*u**4 + 0*u - 4/7*u**2 + 2/7*u**5 + 0 - f*u**3 = 0. What is u? -1, 0, 2 Let m(k) be the first derivative of 8*k**3/45 - 37*k**2/5 - 56*k/15 + 4852. Suppose m(x) = 0. What is x? -1/4, 28 Let t = 63 - 58. Factor -f**3 + 2*f**4 + t*f**4 - 3*f**3 - 3*f**4. 4*f**3*(f - 1) Find j, given that -12/7*j**2 + 30/7*j - 2/7*j**3 - 16/7 = 0. -8, 1 Let s(x) = -2*x**4 - 122*x**3 + 124*x**2 + 14*x + 7. Let k(w) = -2*w**4 - 122*w**3 + 124*w**2 + 12*w + 6. Let r(l) = -7*k(l) + 6*s(l). Solve r(z) = 0. -62, 0, 1 Suppose 4*l - 164 = -3*p + 8*p, 4*l - 4*p = 168. Find c such that -l*c**3 + 254*c**3 - 1844*c**2 + 4748*c**2 + 2500 + 428*c + 4*c**4 + 4772*c = 0. -25, -1 Let h(v) = -5*v + 60. Let y be h(5). Factor 12 + y*r - 17*r + 3*r**2 - 6*r. 3*(r + 2)**2 Let x(t) be the third derivative of t**6/150 + 16*t**5/75 - 101*t**4/30 + 56*t**3/5 + 83*t**2. Factor x(h). 4*(h - 4)*(h - 1)*(h + 21)/5 Let w(f) = -9*f - 15. Let c be w(-5). Let l be 48/(-100)*(-1600)/c. Factor -l + 26/5*q**3 - 24*q**2 + 224/5*q - 2/5*q**4. -2*(q - 4)**3*(q - 1)/5 Let -35/4 + 17/2*i**2 + 1/4*i**4 + 3*i**3 - 3*i = 0. What is i? -7, -5, -1, 1 Let u(c) = 440*c + 1765. Let n be u(-4). Determine m so that 816/7*m**3 + 0 + 64/7*m - 580/7*m**4 - 400/7*m**2 + 100/7*m**n = 0. 0, 2/5, 1, 4 Let n be (-27)/5 - -4 - (-952)/680. Solve -14/9*p**2 + n + 14/9*p**4 + 4/9*p + 2/3*p**3 - 10/9*p**5 = 0 for p. -1, 0, 2/5, 1 Let d be (-2 + 6/5)/((-4)/150). Factor -22*a**4 + 15*a**5 - 107*a + 11*a**3 - 13*a**4 + d*a**2 + 82*a + 5 - a**3. 5*(a - 1)**3*(a + 1)*(3*a - 1) Let f(v) be the second derivative of v**5/60 - 35*v**4/36 - 100*v**3/9 - 1947*v. Find d such that f(d) = 0. -5, 0, 40 Let q(b) be the second derivative of -11*b**5/5 - 1531*b**4/3 + 2524*b**3/3 + 560*b**2 + 3*b - 505. Find j, given that q(j) = 0. -140, -2/11, 1 Let h(m) be the second derivative of -2*m**7/63 + 16*m**6/45 + 2*m**5/15 - 52*m**4/9 - 146*m**3/9 - 56*m**2/3 + 2*m - 1228. Find a such that h(a) = 0. -1, 4, 7 Let m(w) be the first derivative of 11 + 1/2*w**2 + 1/20*w**5 + w - 1/12*w**4 - 1/6*w**3. Let i(y) be the first derivative of m(y). Solve i(b) = 0. -1, 1 Suppose -109*k = -125*k + 80. Let w(s) be the first derivative of 0*s**3 + 1/14*s**4 - s**2 + k - 12/7*s. Factor w(u). 2*(u - 3)*(u + 1)*(u + 2)/7 Factor -54/7*j + 0 + 51/7*j**2 + 3/7*j**3. 3*j*(j - 1)*(j + 18)/7 Let n(m) be the second derivative of -m**6/30 + 12*m**5 + 489*m**4/4 + 1105*m**3/3 + 492*m**2 + 2*m + 3132. Factor n(i). -(i - 246)*(i + 1)**2*(i + 4) Suppose -4*r + 11 = -4*d - 41, 23*r = 3*d + 79. Determine q, given that -102/5*q**3 + 56/5*q**r + 232/5*q + 96/5 + 18/5*q**4 = 0. -2/3, 3, 4 Let s(x) = -2*x**4 + 45*x**3 + 192*x**2 - 4531*x - 9519. Let w(k) = 3*k**4 - 47*k**3 - 193*k**2 + 4531*k + 9518. Let p(z) = -4*s(z) - 3*w(z). Factor p(m). -(m - 9)*(m + 2)*(m + 23)**2 Determine i so that 269304 - 9*i**2 - 1234*i + 32419 + 123319 + 11*i**2 - 610*i = 0. 461 Let n(q) be the third derivative of 1/84*q**8 - 736/15*q**5 + 0*q - 2/5*q**7 + 88/15*q**6 + 0 + 256*q**4 + 143*q**2 - 2560/3*q**3. Factor n(x). 4*(x - 5)*(x - 4)**4 Let r(b) be the third derivative of b**8/112 - 21*b**7/10 - 297*b**6/40 - 149*b**5/20 + 2*b**2 - 520. Determine l so that r(l) = 0. -1, 0, 149 Let x = 2/195375 + 6251974/2539875. Suppose -36/13*c**2 + 12/13 - x*c**3 + 24/13*c**4 + 10/13*c**5 + 22/13*c = 0. What is c? -3, -1, -2/5, 1 Let x be (-1473)/(-42) - (-36)/84. Let l = 41 - x. Solve l*n**3 + 0 + 8*n**4 + 7/2*n**5 + 0*n + n**2 = 0. -1, -2/7, 0 Let o(w) = -60*w**3 + 187*w**2 - 101*w - 50. Let b(d) = -2*d**2 + d + 4. Let x(k) = 8*b(k) + o(k). Let x(i) = 0. What is i? -3/20, 1, 2 Suppose -2*x + 11 = 5*c, 5*x = 5*c + 5 + 5. Let o be -14 + (-10 + 14 - -13). Let 16/5*n**x + 9/5 - 8/5*n**2 - o*n = 0. Calculate n. -1, 3/4 Let p(i) = i**3 + i - 1. Let y(d) be the first derivative of 2*d**2 + d + 2. Let g(r) = 3*p(r) - 3*y(r). Suppose g(s) = 0. What is s? -1, 2 Let n(u) be the second derivative of 4/9*u**4 + 0*u**3 + 0*u**2 + 0 + 1/15*u**5 - 197*u. Factor n(d). 4*d**2*(d + 4)/3 Let y(m) be the third derivative of m**7/42 - 253*m**6/24 + 1785*m**5 - 127890*m**4 + 493920*m**3 - 1824*m**2. Determine s, given that y(s) = 0. 1, 84 Let v = -2174 + 2174. Let q(y) be the second derivative of -2/135*y**6 - 2/9*y**2 - 5/189*y**7 - 8*y + 1/9*y**5 - 5/27*y**3 + 2/27*y**4 + v. Solve q(u) = 0. -1, -2/5, 1 Let l(b) be the third derivative of b**9/10584 + b**8/1470 - 11*b**7/2940 + b**6/210 - 5*b**3 - 69*b**2. Let u(k) be the first derivative of l(k). Factor u(x). 2*x**2*(x - 1)**2*(x + 6)/7 Find d such that 57/4*d - 9/8*d**2 + 3/8*d**4 - 9 - 9/2*d**3 = 0. -2, 1, 12 Find d such that 77903*d**2 - 10*d**5 + 60 + 13*d**5 + 21*d**3 - 48*d + 21*d**4 - 77960*d**2 = 0. -5, -2, 1 Suppose 4 = -4*i + 4*x, i - 6*x + 7*x = 9. Factor i*m**3 + 3*m - 2*m**4 - 5*m + 2*m - 826*m**2 + 824*m**2. -2*m**2*(m - 1)**2 Let m(w) be the third derivative of w**5/450 + 407*w**4/90 + 165649*w**3/45 - 466*w**2. Find d such that m(d) = 0. -407 Let b(v) be the third derivative of v**5/12 + 135*v**4/2 + 21870*v**3 - 4*v**2 + 189. Factor b(n). 5*(n + 162)**2 Let -16/11*u**3 - 324/11 + 90/11*u + 126/11*u**2 - 8/11*u**4 = 0. What is u? -9/2, -2, 3/2, 3 Let m(d) be the first derivative of -7*d**4 + 0*d + 0*d**2 + 32/15*d**5 - 2/9*d**6 + 8*d**3 - 187. Let m(o) = 0. What is o? 0, 2, 3 Suppose -3*s - 7*n = -4*n + 3, 11 = s - 2*n. Let q be (4/s)/((-170)/(-255)). Find d such that -2/9*d**q + 2/3*d + 0 = 0. 0, 3 Suppose -5*p - 8 + 18 = 0. Factor -4*i**4 + 168 + 12*i + i**3 - 164 + 11*i**p + i**4 - i**5. -(i - 2)*(i + 1)**3*(i + 2) Let h(u) be the first derivative of -u**6/2 - 123*u**5/35 - 111*u**4/14 - 40*u**3/7 - 4993. Solve h(w) = 0. -20/7, -2, -1, 0 Suppose -16*r = -15*r - 80. Factor 4*l**4 - 2*l**4 + 1446*l - 2*l + 8*l**3 + 570*l**2 - r*l**3. 2*l*(l - 19)**2*(l + 2) Let p be (-12)/30 + (-6)/(6/(-1)). Suppose 2*m - r + 2*r = 4, 0 = -r. Factor -2/5 + p*z - 1/5*z**m. -(z - 2)*(z - 1)/5 Let v be (-6)/21 + 32/14. Suppose -5*t + v*t + 36 = 0. Factor 3*y**5 + 16*y**2 + 27*y**3 + 6*y - t*y**2 - 15*y**4 - 25*y**2. 3*y*(y - 2)*(y - 1)**3 Suppose -8 = 5*l + 2*w, 5*l + 162 = -5*w + 142. Factor -13/4*s - 1/4*s**3 - 7/2*s**2 + l. -s*(s + 1)*(s + 13)/4 Let o(h) be the third derivative of h**8/1176 + 8*h**7/735 - 7*h**6/10 + 28*h**5/3 - 4675*h**4/84 + 1000*h**3/7 - h**2 - 875*h + 4. Suppose o(z) = 0. What is z? -24, 1, 5 Factor 0*p**2 - 45/2*p**3 + 0 + 0*p + 3/2*p**4. 3*p**3*(p - 15)/2 Let c be (-2)/3 - (-7 + (-3177)/189). Let m = -1558/77 + c. Find v, given that 0 + 14/11*v**4 + 8/11*v**2 + 0*v + m*v**3 = 0. -2, -2/7, 0 Let a be (-65)/45*21*-51. Let 112*k**2 + a - 4*k**3 - 1547 = 0. Calculate k. 0, 28 Let o(l) = l**3 - l**2 + l + 1. Let n = 304 + -308. Let x(z) = -z**4 + z**3 - 5*z**2 + 7*z + 6. Let b(q) = n*o(q) + x(q). Factor b(k). -(k - 1)*(k + 1)**2*(k + 2) Let j(u) be the second derivative of u**5/360 - 13*u**4/144 - 3*u**2/2 + 3*u - 40. Let q(z) be the first derivative of j(z). Let q(b) = 0
{ "pile_set_name": "DM Mathematics" }
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True Is 1395163843 a composite number? False Is 15576131471 a composite number? False Is 282826137833 a prime number? False Is 8871694427 composite? True Is 618595091 prime? True Is 18499378069 a prime number? True Is 23746443857 a prime number? True Is 112277507 prime? True Is 6017897659 composite? False Is 606529993 prime? True Is 4746262939 a composite number? True Is 9382281989 a prime number? True Is 6299277151 a composite number? False Is 328182109 prime? True Is 4814081761 prime? True Is 415921427 a prime number? True Is 2548226497 a composite number? False Is 2522379797 prime? False Is 4224511381 prime? False Is 170946959 composite? False Is 1704353331 composite? True Is 242597233 prime? False Is 18750071629 a composite number? False Is 5110490761 a composite number? True Is 897646163 a composite number? False Is 352496848981 a composite number? False Is 627142247 prime? True Is 751019329 a composite number? True Is 19482130259 composite? True Is 1058181037 a prime number? True Is 11250760369 a composite number? True Is 9767929543 prime? False Is 581278643 a prime number? False Is 29936530991 composite? False Is 39873945259 a composite number? False Is 64484315933 a composite number? True Is 619694831 a prime number? False Is 36891455851 a prime number? True Is 21232403571 prime? False Is 628010567 composite? False Is 1058023403 a composite number? False Is 6247110715 a composite number? True Is 1044412373 a composite number? True Is 4765061599 composite? False Is 1308987481 prime? False Is 5899132229 a prime number? True Is 4491911089 prime? False Is 1668969151 a composite number? False Is 8714602577 composite? True Is 8935483759 prime? True Is 5688303509 a composite number? True Is 15575106539 a composite number? True Is 25268796829 a composite number? True Is 423503849 composite? True Is 544307469 a composite number? True Is 5464143673 a prime number? False Is 40759417 composite? False Is 22919327191 prime? True Is 827067623 a prime number? False Is 55702406407 a composite number? False Is 3522003071 composite? True Is 45545861 a composite number? True Is 138915036181 composite? False Is 51000619051 a composite number? True Is 34932571 a prime number? True Is 13262004983 composite? False Is 128126786677 composite? False Is 31310121959 a composite number? False Is 11850774235 a composite number? True Is 2059038035 prime? False Is 3076113697 a composite number? False Is 209975449405 a composite number? True Is 16435989239 a prime number? True Is 14358184937 prime? True Is 36599149087 composite? False Is 2839007 prime? True Is 3342235727 a prime number? True Is 23211547501 a composite number? True Is 124192631 a composite number? False Is 4526024327 a composite number? True Is 7953597583 a prime number? False Is 1028953777 composite? False Is 13015870927 a composite number? False Is 34858327117 composite? True Is 14597778595 prime? False Is 1253973961 a composite number? True Is 1486439131 a prime number? True Is 57517279 composite? False Is 1210435561 a composite number? False Is 664243991 prime? False Is 114729731671 a composite number? False Is 131634494207 prime? True Is 400889031 prime? False Is 17219180647 a composite number? True Is 327443339 composite? True Is 561324233 a prime number? False Is 1938514309 a prime number? False Is 59496239593 a prime number? False Is 24913446697 composite? True Is 877905383 a composite number? False Is 654628889 a prime number? False Is 1771782335 a prime number? False Is 20314190401 a composite number? True Is 1640900179 a composite number? False Is 863256959 prime? True Is 258658067 a prime number? True Is 56416743221 a composite number? False Is 846294521 prime? False Is 6240284587 composite? False Is 316171433 a composite number? False Is 142536967 a prime number? True Is 7637598803 composite? False Is 70865701 a composite number? True Is 49915278443 prime? False Is 37100469641 a composite number? True Is 28654664065 a composite number? True Is 125571321257 composite? False Is 38748748229 composite? False Is 374559061 a composite number? False Is 1220361985 prime? False Is 252448457 a composite number? False Is 46819687 composite? False Is 32239021163 a prime number? False Is 56562673954 composite? True Is 40150552
{ "pile_set_name": "DM Mathematics" }
at is the smallest common multiple of 102 and d(13)? 510 Let p = -48 + 77. Let g = 40 - p. What is the smallest common multiple of g and 6? 66 Suppose -4*x - s = -69, -5*x - 5*s = -50 - 25. Calculate the smallest common multiple of x and 36. 36 Let i = 9079/7456 - -1/932. Find the common denominator of i and -89/2. 32 Let z = 35921/2214 - 587/41. What is the common denominator of 13/12 and z? 108 What is the common denominator of -73/3 and (9/54)/(44/376)? 33 Let w = -28076/3 + 9558. Let v = w - 4511/24. Find the common denominator of v and 29/16. 16 Calculate the smallest common multiple of 33 + ((-5)/(-15))/((-3)/45) and 175. 700 Let r be 8/6 + 55/15. Suppose f = -r + 16. Calculate the common denominator of (-3 + 4)/(f/(-19)) and -58/5. 55 Let i = 26 + -24. Suppose -i*o - 154 = -9*o. Calculate the lowest common multiple of o and 6. 66 Suppose 0 = -2*l + l + 6. Suppose -l*v + 40 = -v. Calculate the lowest common multiple of v and 20. 40 What is the least common multiple of 333 and 10*(-6)/15*-6? 2664 What is the smallest common multiple of 150/(-21)*(-420)/75 and 50? 200 Calculate the smallest common multiple of (49 - 53)*(0 + (-134)/4) and 3. 402 Let l = -13 - -8. Calculate the common denominator of (-200)/49 - ((-1 - -3) + l) and -7/5. 245 Suppose -426 = 3*w + 3*d, -w + d = 5*d + 136. Find the common denominator of (w/(-42) - 3) + (-446)/224 and -19/6. 48 Let u be (-20)/(-5)*(-5)/2. Let q be -16*(-4)/(-16)*2. Let j = q - u. What is the least common multiple of 9 and j? 18 Let n(i) = -i**3 + 6*i**2 - 3*i - 12. Let c be n(6). Calculate the common denominator of (-98)/32 + (-1)/(-2) and c/8 + 1 + (-15)/5. 16 Suppose -3*z = 0, -5*x - 2*z = 3*z + 485. What is the common denominator of 1/2*x/2 and (-402)/8 + 3/4? 4 Let g = -510 - -519. What is the least common multiple of g and 11? 99 Let i = -5 - -1. Let h be 11/(154/304) + (-4)/(-14). Calculate the common denominator of 89/2 and (-17)/i + -4 - h. 4 Let m(w) = w**3 - w**2 + 8. Suppose -4*a - 5*g + 31 = -8*g, -4*a = -2*g - 34. What is the smallest common multiple of m(0) and a? 40 Suppose -5*b + 13 = -7. Let d(v) = -v**2 - 31. Let x be d(0). Let t = x - -45. What is the least common multiple of b and t? 28 Let g(l) = 7*l + 14. Let t be g(-2). Find the common denominator of -83/30 and (-348)/(-64) + 0 + t. 240 Suppose 7*k - 52 = 5*k + 5*w, -4*w + 34 = 2*k. Calculate the smallest common multiple of 33 and k. 231 Let h = -755/44 - -120/11. What is the common denominator of -47/14 and h? 28 Suppose l = h + 33, -2*l + 205 = -5*h - 5*l. Calculate the common denominator of 5/8 and (4/6)/(h/(-2109)). 8 Let o = 11395 - 501315/44. What is the common denominator of o and (-18)/12*(-190)/24? 88 Let m(v) = v**3 - 2*v**2. Let s be m(2). Suppose s = -3*u - 1130 - 508. Calculate the common denominator of (1/(-3))/((-4)/u) and -93/4. 4 Suppose 10 = 4*h + h. Suppose -h*p - 72 = -4*p. Calculate the smallest common multiple of p and 28. 252 Suppose 51 = 17*s - 119. Calculate the least common multiple of 100 and s. 100 Let s = -515775/56 + 9210. Calculate the common denominator of s and -57/8. 56 What is the common denominator of ((-3)/12)/((-62)/194) and -95/4? 124 Suppose -2*q - 2 = -8. Suppose -12*c - 36 = -15*c. What is the smallest common multiple of 14 and c - (0 + (1 - q))? 14 Let q = 2 + 0. Suppose 0 = -2*p + 6. Suppose -z + p*v = -7, -3*v = -3*z + 22 + 17. What is the least common multiple of q and z? 16 Calculate the lowest common multiple of (3 - 1)*1 + 20 and (-784)/440*-10 - 6/(-33). 198 Suppose -36*g + 85*g - 490 = 0. Calculate the smallest common multiple of g and 86. 430 Let s = -9154/8041 + 3/1462. Find the common denominator of -30 and s. 22 Let o = 1653 - 16459/10. What is the common denominator of o and -87/44? 220 What is the common denominator of 1610/1440*4 + 4/(-2) and -99/14? 252 What is the common denominator of (8/(-60))/(96/(-3210)) and 1/2? 24 Let z = 79/104 - 8367/7592. What is the common denominator of 25/4 and z? 292 Let o(v) = v**3 + 8*v**2 + 7*v. Let c be -9 - (-1 - 5/5). Let s be o(c). What is the smallest common multiple of 9 and 6 + (0 - s) + 2? 72 Suppose -4*m = 4*v + 4, m + 737*v - 740*v = 11. Let s be (6/2)/(1/(-5)). Calculate the least common multiple of 10/3*(-36)/s and m. 8 Let x = -27522 - -4403541/160. What is the common denominator of x and 87/64? 320 Let m(a) = -a + 14. Let v be m(12). Suppose 3*b = -6*h + v*h - 8, 3*b - 32 = 4*h. What is the lowest common multiple of b and 1? 4 Find the common denominator of 2/10*6/(-6) - 3 and 167/180. 180 Let v = -27 + 105. Calculate the least common multiple of 20 and v. 780 Suppose -2*z = 2*t - 3*z - 9, -9 = -t + 5*z. Suppose -2*m = -2*p + 82, t*p + p = 3*m + 199. Calculate the smallest common multiple of 12 and p. 228 Let w = 214 - 203. What is the smallest common multiple of w and 10? 110 Suppose p - 2*p - 7 = m, 3*m + 16 = 2*p. What is the least common multiple of -2*(-3)/m*-1 and ((-76)/(-133))/(2/7)? 2 Let j = 50 + -12. Let t = j + -22. Suppose m + 2*u = 24, 3*u - 73 = -3*m - 7. What is the lowest common multiple of t and m? 80 Find the common denominator of (171/(-24))/(21/(-10)) and ((-82)/(-24))/1 - 77/(-11). 84 What is the common denominator of 67/36 and ((-166)/10)/(576/240)? 36 Find the common denominator of -11/20 and (332/48 + -1)/((-1)/1). 60 Let f(y) = y**2 + 4*y - 3. Let c be f(-3). Suppose 0*k + k = 9. What is the least common multiple of k and 12/16*(-2 - c)? 9 Suppose 5*t + 5*l = 370, 2*t - 365 = -3*t - 4*l. What is the lowest common multiple of t and 33? 759 Suppose u - 6*u + 3*d = -119, -3*u + 57 = 3*d. Suppose -u = -h - 3. What is the common denominator of h and 57/8? 8 Suppose -t - 2*i - 26 = -5*t, t + 11 = -3*i. What is the least common multiple of t and 8? 8 Let l be (2597*9/180)/(4/110). Let t = l - 3582. Let n = -10479 - -104707/10. What is the common denominator of n and t? 40 Let j = 231/20 - 557/60. Calculate the common denominator of j and 43/132. 660 Let y = 8165 - 97913/12. Calculate the common denominator of y and 121/10. 60 Let b(k) = -81*k - 308. Calculate the least common multiple of 104 and b(-4). 208 Let f be 1227/(-902) - (-2)/4. Let p be 1300/1435 + (-72)/84. Let b = f - p. Find the common denominator of -50/9 and b. 99 Let b(i) = 6*i**2 - 9*i + 8. Calculate the lowest common multiple of 18 and b(4). 612 Let w(y) = -2*y**2 + 18. Let l = -16 - -7. What is the least common multiple of w(0) and 15 - 1 - 18/l? 144 Suppose 20*c + 2130 = 5*c. What is the least common multiple of 11/(-55) + c/(-10) and 4? 28 Suppose -i + 44 + 38 = 2*r, 4*i - 283 = r. What is the least common multiple of i and 48? 144 Let j = -216410/3 - -71329. Let g = -7240/9 - j. What is the common denominator of (122/4)/(3/(-2)) and g? 9 Let c = 2796 + -39099/14. Find the common denominator of 1/18 and c. 126 Let l be -2 + 72/4*14/6. Suppose -4*s + l = 4*z, -70 = -5*s - z - 20. What is the least common multiple of s and 18? 90 What is the common denominator of 83/18 and (-1392)/(-360) + 4/6? 90 Let c = 928 + -796. Calculate the smallest common multiple of c and 60. 660 Let u be 6*3/(-12)*2. Let v be 9*(u - -4)*-10. What is the common denominator of 21/5 and 9/(-36) + v/(-4)? 20 Suppose 5*z = -2*p + 1, 0 = -8*z + 3*z + 4*p + 13. Let m = -177 - -197. Calculate the least common multiple of m and z. 20 Let r = 972 + -5845/6. What is the common denominator of r and ((-14)/(-252))/(-2*1/100)? 18 Let v be ((-5 - 10) + -5)/(4/(-6)). Find the common denominator of v/135 + 71/1584 and 23/16. 176 Let r = -32 - -72. Suppose 4*i - 54 = i. What is the least common multiple of ((-18)/(-10) - 3)/((-3)/r) and i? 144 Let z = 664823/98 + -6784. Calculate the common denominator of z and -115/56. 392 Suppose 2*s - 4*s = s. Suppose -6*m + 13 + 71 = s. Calculate the least common multiple of m and 8/3 + 6/(-9). 14 Let d be 2 + 31 + 4 - -1. Suppose -5*r + 2 = -d. What is the lowest common multiple of 1 and r? 8 Suppose -33 = -3*x - v + 60, -v - 117 = -4*x. Suppose f = -6 + x. Calculate the common denominator of (6/(-20))/(f/(-475)) and -17/2. 16 Suppose 30 = g + 2*g. Suppose -226*n + 227*n - 4 = 0. What is the least common multiple of g and n? 20 Let g = 30361/5 + -1274527/210. What is the common denominator of g and 11/56? 168 Find the common denom
{ "pile_set_name": "DM Mathematics" }
ase 16) in base 11? 4 What is 4 (base 14) in base 5? 4 What is -7 (base 15) in base 11? -7 What is -102 (base 6) in base 5? -123 What is -30 (base 13) in base 15? -29 What is 1 (base 14) in base 6? 1 Convert -1135 (base 6) to base 10. -275 What is -100220 (base 3) in base 2? -100001011 0 (base 2) to base 10 0 Convert 2 (base 5) to base 2. 10 470 (base 8) to base 11 264 3e (base 15) to base 4 323 Convert -6 (base 8) to base 2. -110 -1 (base 14) to base 3 -1 What is 11 (base 14) in base 7? 21 9 (base 15) to base 8 11 What is -22 (base 11) in base 7? -33 1 (base 14) to base 16 1 What is -3 (base 9) in base 3? -10 What is 1323 (base 4) in base 2? 1111011 What is 1100 (base 2) in base 13? c 34 (base 8) to base 4 130 50 (base 7) to base 12 2b Convert -7 (base 16) to base 2. -111 What is 52 (base 7) in base 6? 101 Convert -25 (base 12) to base 9. -32 What is 25 (base 6) in base 2? 10001 Convert -b0 (base 14) to base 15. -a4 Convert 3 (base 8) to base 15. 3 What is 49 (base 13) in base 10? 61 2 (base 3) to base 5 2 -10102 (base 3) to base 4 -1130 -38 (base 16) to base 13 -44 Convert 0 (base 11) to base 13. 0 210 (base 4) to base 2 100100 What is -18 (base 14) in base 13? -19 What is -f (base 16) in base 11? -14 What is -17 (base 12) in base 3? -201 What is -22 (base 8) in base 14? -14 Convert -4 (base 13) to base 2. -100 Convert b (base 12) to base 13. b -11 (base 10) to base 11 -10 -270 (base 11) to base 3 -102211 Convert -15 (base 16) to base 14. -17 3 (base 10) to base 12 3 Convert -53 (base 13) to base 10. -68 What is 0 (base 14) in base 2? 0 -56 (base 9) to base 10 -51 Convert 10 (base 11) to base 4. 23 What is -10101 (base 2) in base 3? -210 -1014 (base 6) to base 15 -101 What is 3 (base 14) in base 13? 3 -8 (base 11) to base 15 -8 -33 (base 4) to base 11 -14 What is -101100 (base 2) in base 3? -1122 Convert 11 (base 2) to base 10. 3 100 (base 2) to base 6 4 What is 54 (base 8) in base 12? 38 4 (base 15) to base 16 4 What is 57 (base 9) in base 8? 64 -4 (base 8) to base 6 -4 What is -23 (base 5) in base 4? -31 Convert -1a (base 13) to base 3. -212 -77 (base 11) to base 12 -70 What is -5 (base 8) in base 9? -5 -220 (base 3) to base 8 -30 -221 (base 3) to base 16 -19 What is -13 (base 10) in base 11? -12 Convert -3 (base 15) to base 2. -11 What is -1011011 (base 2) in base 16? -5b What is -66 (base 9) in base 8? -74 Convert 121 (base 3) to base 2. 10000 Convert -22020 (base 3) to base 14. -11c -1004 (base 5) to base 11 -108 What is -b (base 13) in base 5? -21 Convert -1d (base 15) to base 4. -130 What is 7 (base 13) in base 2? 111 What is 3 (base 8) in base 15? 3 -3 (base 16) to base 8 -3 What is -2 (base 15) in base 12? -2 Convert 14 (base 7) to base 16. b -3 (base 12) to base 7 -3 What is 0 (base 8) in base 2? 0 What is -50 (base 6) in base 16? -1e What is 4e (base 15) in base 4? 1022 What is 1111110 (base 2) in base 13? 99 Convert 127 (base 9) to base 8. 152 -40 (base 5) to base 3 -202 -10 (base 16) to base 3 -121 Convert 3 (base 11) to base 8. 3 Convert 85 (base 12) to base 11. 92 -37 (base 10) to base 3 -1101 What is 106 (base 9) in base 15? 5c -c (base 14) to base 12 -10 What is 7 (base 8) in base 9? 7 Convert -2 (base 15) to base 2. -10 Convert -1 (base 16) to base 5. -1 Convert 6 (base 11) to base 4. 12 -111 (base 6) to base 13 -34 -42 (base 5) to base 6 -34 Convert 18 (base 15) to base 16. 17 -3 (base 11) to base 13 -3 Convert -5 (base 10) to base 3. -12 Convert -15 (base 13) to base 8. -22 22120 (base 3) to base 8 347 -70 (base 13) to base 9 -111 1 (base 14) to base 9 1 -112 (base 3) to base 16 -e What is -11 (base 4) in base 2? -101 What is 49 (base 13) in base 4? 331 What is 1 (base 12) in base 13? 1 Convert 25 (base 6) to base 14. 13 Convert -7 (base 11) to base 10. -7 Convert -3 (base 9) to base 7. -3 What is -1011 (base 3) in base 13? -25 12 (base 3) to base 4 11 Convert -135 (base 8) to base 15. -63 -c (base 13) to base 10 -12 -58 (base 9) to base 11 -49 Convert -1 (base 4) to base 13. -1 6 (base 15) to base 16 6 -1000010 (base 2) to base 11 -60 Convert 4 (base 15) to base 12. 4 Convert d (base 16) to base 12. 11 What is -54 (base 6) in base 13? -28 -7 (base 15) to base 11 -7 Convert 10 (base 7) to base 9. 7 What is -b6 (base 13) in base 3? -12112 Convert 1 (base 5) to base 12. 1 Convert -101 (base 3) to base 10. -10 What is -10210 (base 3) in base 11? -93 0 (base 11) to base 8 0 14b (base 13) to base 3 22121 -3 (base 16) to base 13 -3 What is -28 (base 12) in base 13? -26 37 (base 14) to base 11 45 Convert 2 (base 3) to base 7. 2 Convert -112 (base 3) to base 15. -e 54 (base 10) to base 15 39 19 (base 10) to base 5 34 -2 (base 15) to base 6 -2 -1011 (base 2) to base 12 -b What is 30 (base 6) in base 2? 10010 What is -2 (base 13) in base 2? -10 Convert -2 (base 15) to base 2. -10 What is -10 (base 7) in base 6? -11 -1b (base 14) to base 9 -27 What is 38 (base 16) in base 9? 62 What is 0 (base 10) in base 14? 0 -121 (base 7) to base 8 -100 What is a (base 13) in base 5? 20 1 (base 8) to base 7 1 Convert 11 (base 5) to base 14. 6 -22 (base 3) to base 10 -8 8 (base 12) to base 14 8 What is 10 (base 9) in base 15? 9 Convert -6 (base 15) to base 10. -6 Convert 22 (base 3) to base 5. 13 Convert 1010 (base 5) to base 15. 8a What is 23 (base 4) in base 8? 13 -40 (base 14) to base 15 -3b 14 (base 6) to base 2 1010 Convert -32 (base 16) to base 14. -38 -16 (base 16) to base 12 -1a -453 (base 6) to base 8 -261 -1 (base 14) to base 4 -1 What is 5 (base 7) in base 12? 5 What is -100 (base 2) in base 4? -10 6 (base 11) to base 15 6 2 (base 7) to base 16 2 0 (base 10) to base 2 0 What is -121 (base 3) in base 5? -31 Convert 16 (base 11) to base 15. 12 -cc (base 14) to base 7 -345 Convert -10 (base 3) to base 7. -3 1 (base 11) to base 8 1 Convert 2211 (base 3) to base 16. 4c What is 1 (base 16) in base 5? 1 What is 2 (base 3) in base 7? 2 What is 1 (base 2) in base 6? 1 What is -10 (base 4) in base 7? -4 0 (base 16) to base 4 0 What is 31 (base 4) in base 10? 13 Convert 2 (base 8) to base 4. 2 29 (base 11) to base 6 51 What is -30 (base 4) in base 9? -13 65 (base 9) to base 4 323 12022 (base 3) to base 8 217 Convert 110110 (base 2) to base 4. 312 11c (base 14) to base 13 141 414 (base 5) to base 14 7b -9 (base 15) to base 8 -11 Convert -2 (base 10) to base 16. -2 -202 (base 7) to base 5 -400 Convert 11 (base 3) to base 12. 4 Convert 13 (base 7) to base 5. 20 What is -10121 (base 3) in base 2? -1100001 What is -3 (base 13) in base 7? -3 Convert 5 (base 7) to base 10. 5 Convert -13 (base 11) to base 6. -22 What is 11 (base 4) in base 5? 10 -5f (base 16) to base 10 -95 -13 (base 7) to base 16 -a What is -44 (base 9) in base 10? -40 Convert -3 (base 7) to base 3. -10 Convert 15 (base 7) to base 2. 1100 Convert 58 (base 13) to base 9. 81 What is 12 (base 4) in base 13? 6 Convert -56 (base 7) to base 2. -101001 -1 (base 6) to base 15 -1 What is -10 (base 8) in base 10? -8 Convert -61 (base 14) to base 8. -125 20 (base 4) to base 11 8 What is -4 (base 10) in base 7? -4 Convert 1 (base 11) to base 5. 1 Convert -14 (base 5) to base 14. -9 Convert -1022 (base 3) to base 12. -2b Convert 110 (base 2) to base 3. 20 Convert a (base 16) to base 11. a What is 180 (base 11) in base 13? 131 What is -29 (base 10) in base 9? -32 -11001110 (base 2) to base 15 -db What is -12 (base 8) in base 3? -101 Convert -1 (base 10) to base 16. -1 14 (base 6) to base 7 13 13 (base 15) to base 9 20 What is 0 (base 15) in base 12? 0 What is 21 (base 3) in base 4? 13 What is -161 (base 13) in base 3? -100012 -122 (base 5) to base 6 -101 What is -57 (base 11) in base 3? -2022 What is 42 (base 5) in base 7? 31 What is 66 (base 9) in base 3? 2020 What is -23 (base 5) in base 8? -15 What is 2 (base 13) in base 9? 2 What is 4 (base 11) in base 5? 4 -57 (base 8) to base 13 -38 Convert -50 (base 7) to base 2. -100011 Convert -3 (base 10) to base 14. -3 Convert 0 (base 15) to base 16. 0 -2 (base 11) to base 9 -2 3 (base 10) to base 8 3 Convert -1111 (base 2) to base 10. -15 What is 17 (base 14) in base 7? 30 Convert -121 (base 3) to base 14. -12 -3 (base 4) to base 14 -3 Convert -1000 (base 2) to base 7. -11 Convert -110 (base 8) to base 11. -66 What is -61 (base 10) in base 7? -115 Con
{ "pile_set_name": "DM Mathematics" }
-364 What is next in -780, -506, -246, -6, 208? 390 What is next in 70, 144, 196, 214, 186, 100, -56, -294? -626 What is next in -826, -1075, -1418, -1903, -2578? -3491 What is the next term in -3676982, -3676985, -3676990, -3676997, -3677006, -3677017? -3677030 What is next in 230948, 461893, 692838? 923783 What is next in 593, 1263, 2079, 3113, 4437, 6123, 8243, 10869? 14073 What is next in -7645, -7655, -7669, -7687, -7709, -7735, -7765? -7799 What comes next: -174480, -174482, -174486, -174492, -174500, -174510, -174522? -174536 What comes next: 23, 196, 489, 902, 1435, 2088? 2861 What comes next: 25893, 25891, 25889, 25887, 25885? 25883 What is the next term in 14097, 28188, 42277, 56364, 70449? 84532 What comes next: -711, -2968, -6735, -12012, -18799, -27096, -36903? -48220 What comes next: 1202, 4558, 10162, 18014, 28114? 40462 What comes next: 1068199, 1068200, 1068201, 1068202? 1068203 What is next in -318, -1371, -3114, -5541, -8646? -12423 What comes next: -1191, -3896, -8407, -14724, -22847? -32776 What is next in -3868, -7743, -11624, -15511? -19404 What comes next: -61, -109, -125, -97, -13, 139, 371? 695 What comes next: -3219, -3102, -2923, -2694, -2427, -2134? -1827 What is the next term in -1049, -4170, -9387, -16706, -26133, -37674, -51335? -67122 What is the next term in -3210468, -3210470, -3210474, -3210480? -3210488 What comes next: 1781886, 3563751, 5345606, 7127445, 8909262, 10691051? 12472806 What comes next: -683, -2631, -5843, -10325, -16083? -23123 What is next in 251, 329, 467, 671, 947, 1301, 1739, 2267? 2891 What comes next: -516, -1067, -1618, -2169? -2720 What comes next: 26097, 26086, 26061, 26016, 25945? 25842 What comes next: -141, -313, -485, -657? -829 What comes next: 37606, 75200, 112784, 150352, 187898, 225416, 262900, 300344? 337742 What is the next term in -499, -1099, -1699? -2299 What comes next: -2497, -2504, -2507, -2506, -2501, -2492? -2479 What is the next term in 364, 364, 372, 388, 412, 444, 484? 532 What is the next term in -1464, -1525, -1586, -1647, -1708? -1769 What is next in -29248, -117011, -263280, -468055, -731336, -1053123? -1433416 What is the next term in -12052, -24082, -36078, -48034, -59944, -71802? -83602 What is the next term in 2246, 4563, 6870, 9161, 11430, 13671? 15878 What comes next: 1781, 3779, 5777, 7775, 9773? 11771 What is the next term in 152, 611, 1348, 2351, 3608, 5107, 6836, 8783? 10936 What is the next term in 6537, 26161, 58867, 104655, 163525, 235477? 320511 What is the next term in -4657, -4783, -4911, -5041? -5173 What comes next: 128, 846, 2680, 6152, 11784, 20098, 31616? 46860 What is next in 2357, 2422, 2487, 2552, 2617, 2682? 2747 What comes next: 87683, 87686, 87689, 87692? 87695 What is the next term in -4763, -4770, -4779, -4790, -4803, -4818, -4835? -4854 What comes next: 164, 650, 1460, 2594, 4052, 5834, 7940? 10370 What is next in 31996, 31991, 31984, 31975? 31964 What is the next term in 989, 1962, 2935, 3908? 4881 What comes next: -44, -176, -362, -584, -824? -1064 What comes next: -27, -234, -849, -2094, -4191? -7362 What is next in 40, 30, 28, 40, 72? 130 What is the next term in 130, 368, 808, 1450, 2294? 3340 What is the next term in -13, 252, 963, 2342, 4611? 7992 What is next in 1031, 1414, 1797, 2180? 2563 What is next in -1965005, -1965006, -1965007, -1965008, -1965009? -1965010 What is next in -1164, -2286, -3408, -4530? -5652 What is the next term in -18167, -72666, -163501, -290672, -454179, -654022? -890201 What is the next term in -108444, -108453, -108468, -108489, -108516, -108549? -108588 What is the next term in -174, -325, -472, -615? -754 What is the next term in -882, -3352, -7434, -13128? -20434 What is next in 6805, 13560, 20313, 27064, 33813, 40560, 47305? 54048 What comes next: -142, -1085, -3652, -8659, -16922, -29257? -46480 What is the next term in 71, 31, -57, -211, -449, -789? -1249 What is the next term in -126, -161, -224, -321, -458, -641? -876 What comes next: 846, 908, 1176, 1752, 2738, 4236? 6348 What comes next: 26807, 53579, 80351? 107123 What comes next: -2083, -8312, -18691, -33220, -51899? -74728 What comes next: -24021, -48044, -72069, -96096, -120125, -144156? -168189 What is the next term in -85362, -170726, -256090, -341454, -426818? -512182 What is next in 32, 62, 130, 254, 452, 742, 1142? 1670 What is next in -1797, -1745, -1693, -1641, -1589? -1537 What comes next: -469, -512, -617, -814, -1133? -1604 What is the next term in -569, -477, -75, 793, 2283? 4551 What is next in 3156, 12631, 28430, 50553, 79000, 113771, 154866? 202285 What comes next: -6524, -6543, -6572, -6617, -6684, -6779, -6908? -7077 What comes next: -335, -308, -233, -86, 157? 520 What is next in -213, -841, -1465, -2085, -2701, -3313, -3921? -4525 What is the next term in 369, 217, -197, -1005, -2339, -4331? -7113 What comes next: -622052, -1244108, -1866164, -2488220? -3110276 What comes next: -592, -2529, -5766, -10303, -16140, -23277? -31714 What comes next: 155, 604, 1359, 2426, 3811, 5520, 7559? 9934 What comes next: 80716, 80731, 80746? 80761 What comes next: -144, 91, 484, 1035, 1744? 2611 What is next in 65, 80, -1, -226, -643? -1300 What is next in -11096, -11309, -11520, -11729, -11936, -12141? -12344 What comes next: 43257, 86509, 129761, 173013, 216265, 259517? 302769 What is the next term in 306, 545, 784, 1023, 1262, 1501? 1740 What comes next: 9396, 18759, 28122, 37485? 46848 What comes next: -456, -1899, -4264, -7545, -11736? -16831 What is the next term in -47279, -94575, -141871, -189167, -236463, -283759? -331055 What is the next term in 66645, 66648, 66653, 66660? 66669 What is next in -479538, -959078, -1438618, -1918158? -2397698 What is the next term in 34, 241, 832, 1999, 3934? 6829 What is next in -2, -4, -6, -8, -10, -12? -14 What is next in 534377, 534378, 534379, 534380, 534381? 534382 What is next in -526, -2029, -4530, -8029? -12526 What is next in 1602, 1562, 1522? 1482 What comes next: 525633, 1051270, 1576907? 2102544 What comes next: -39, -124, -259, -444, -679, -964? -1299 What comes next: -22916, -45843, -68770, -91697, -114624, -137551? -160478 What is next in -833, -815, -751, -617, -389, -43, 445, 1099? 1943 What is the next term in -1267708, -2535418, -3803128, -5070838? -6338548 What is the next term in 3712559, 3712558, 3712557, 3712556, 3712555? 3712554 What is next in 100471, 200824, 301161, 401476, 501763, 602016, 702229, 802396? 902511 What is the next term in 13974, 13905, 13784, 13611? 13386 What is the next term in -509, -2935, -9515, -22325, -43441? -74939 What is the next term in -1354, -2723, -4094, -5467? -6842 What comes next: 1860, 1832, 1804, 1776? 1748 What is next in 8101, 16189, 24277, 32365? 40453 What is next in 798, 1650, 3970, 8496, 15966? 27118 What is next in 463, 338, 143, -110, -409? -742 What is next in -8565, -8595, -8623, -8649, -8673? -8695 What is the next term in 2275, 4537, 6799? 9061 What is next in 37689, 37688, 37687, 37686, 37685, 37684? 37683 What comes next: 2761, 2624, 2487, 2350, 2213, 2076? 1939 What is the next term in 329, 1076, 2317, 4052, 6281? 9004 What comes next: -2785, -2795, -2797, -2791? -2777 What is next in 9672, 9666, 9660? 9654 What is the next term in -372, -534, -786, -1128, -1560? -2082 What is next in 1924, 1965, 2034, 2131, 2256, 2409, 2590? 2799 What is next in 81709, 81710, 81711? 81712 What is the next term in -14987, -14332, -13675, -13016, -12355, -11692? -11027 What is the next term in 6808, 13614, 20420? 27226 What is the next term in 691, 1334, 1977, 2614, 3239, 3846, 4429, 4982? 5499 What comes next: 1007, 945, 883, 821, 759, 697? 635 What is the next term in -10942, -10581, -10222, -9865, -9510, -9157, -8806? -8457 What is next in 145, 459, 993, 1759, 2769, 4035? 5569 What is the next term in -29280, -58559, -87836, -117111, -146384? -175655 What is next in 75, 294, 661, 1176? 1839 What comes next: -17128, -68588, -154380, -274504, -428960? -617748 What comes next: 12349, 24712, 37073, 49432, 61789? 74144 What comes next: 1479, 1375, 1259, 1125, 967? 779 What is next in 733, 700, 663, 622, 577, 528? 475 What is the next term in -255, -428, -511, -504, -407, -220? 57 What is next in -1402, -1381, -1334, -1249, -1114
{ "pile_set_name": "DM Mathematics" }
Let p be ((-8)/8)/((-1)/(-35)). Let k = p + 43. Let i be (-3)/4 + 11185/(-1540) + k. Which is bigger: i or 0? 0 Let r = 20014 + -18161. Which is greater: 1854 or r? 1854 Suppose 5*r - 4*s + 266 = 0, r + s = -0*s - 55. Suppose -2*h - 39*v - 36 = -40*v, -2*v = -8. Let c = h - r. Which is bigger: 40 or c? 40 Suppose 25 = 120*z - 121*z. Let x be 29/(-9) - 36/(-162). Which is smaller: x or z? z Let x(w) = 3*w + 13. Let u be x(-10). Let z = 1904.5 - 1904.9. Which is smaller: z or u? u Let y be (-1)/(((-10)/4)/5). Let m be -2 - (-55 + 13) - (21 + -8). Is m at least as big as y? True Let i = -0.36 - -0.46. Let w = 0.03995 + -167.03995. Is w at most as big as i? True Let f be (-22)/5 + 4 + 65975/125. Is f greater than 527? True Let z be -12 - 184/(-16) - 5. Let w = -11 + 11.01. Which is bigger: z or w? w Suppose 69*r - 64*r = -85. Let y(a) = -15*a - 211. Let d be y(r). Is d <= 44? True Let t = 0.115 + -0.128. Let p = t - 2.987. Which is smaller: p or 10? p Let n = -1916 - -1916. Is n bigger than -5/524? True Let j(o) = -194*o + 436. Let w be j(6). Let m = w + 728. Is m bigger than 2/1593? False Suppose 7*l + 20*l = 6*l + 21. Let g = -773/7 - -74173/672. Is l at least g? True Let v = 17599 - 15770. Which is smaller: v or 1830? v Let l = -69.6975 + -0.3025. Is l greater than -1? False Let f be 5*(3 + -7 + 7/5 + 3). Which is smaller: 95/94 or f? 95/94 Let w = -22 - -22. Suppose w = -f - f + f. Let n be (f - (-4)/(-150))*10. Is n greater than 0? False Let w = -95 + 108. Let k be (0 + 1 + 1)*(-3 + w). Is 21 smaller than k? False Let o = -3 + 0. Suppose -23 = 18*d + 157. Let k be d + ((-3 - -3)/(-6) - -2). Which is greater: k or o? o Suppose -3*u - 4*h + 92 = -2*h, -u - 2*h + 36 = 0. Suppose a + u = -2*s, 29 + 86 = -5*a - 5*s. Is -195/11 > a? True Suppose 750*l = 756*l - 270. Are l and 59 equal? False Let y(k) = 21*k + 202. Let a be y(76). Which is smaller: 1797 or a? 1797 Let u be 94*((-3)/(-9))/(2/6). Suppose -4*y - 564 = -10*y. Is y less than or equal to u? True Let l(i) = 134*i + 111 - 46*i - 44*i - 47*i. Let r be l(35). Is r greater than 5? True Let p = -1.536 - -0.056. Let x = p - -0.48. Is x bigger than -22? True Let y(f) = -5*f**2 + 2*f + 33. Let u = -172 - -164. Let o be y(u). Is -302 equal to o? False Let h be (-2 - (-42)/20)*-4. Let r = 0.00624 + 2.89376. Is h at least r? False Let k be 118/10 - 3 - (-16)/80. Suppose -15 = 6*z - k. Let b be (8/(-132))/((-14)/(-6)). Does z = b? False Let k = 7335589/146545 - 1752/35. Is k bigger than 1? False Suppose 0 = -3*p + 18, -45*d + 89*d + 4*p = 46*d + 24. Let g be (-308)/(-155) + 0 + -2. Which is smaller: g or d? g Let s = -37210 + 484132/13. Is s equal to 32? False Let c be 16980/16 - (390/440 - 8/(-22)). Which is bigger: 1061 or c? 1061 Let p = 0.27 - 376.27. Let l = p - -384. Is 1 != l? True Let a(b) = -b**2 + 51*b - 775. Let k be a(23). Which is smaller: k or -127? k Let q = 487 - 485. Let r be (-330)/55*(-1)/q. Let j = -0.06 + -8.94. Which is greater: j or r? r Let v(r) = r**3 - 101*r**2 + 473*r + 672. Let p be v(96). Is p greater than 4/371? False Let d = 253.2 + 0.8. Let y = 133 - d. Which is bigger: 1 or y? 1 Suppose -3*c = -v - 17 - 2, -c + 1 = v. Let p = -450807/2918 + -12/1459. Let n = -151 - p. Which is bigger: c or n? c Let q(r) = -2*r + 19. Let l be q(7). Suppose 2 = -l*p + 7. Is 3/91 not equal to p? True Suppose 16 = d - 5*h + 14, 5*d - h = 10. Let j be (-1 + d)*17 + -3. Which is greater: j or 13? j Let k = 50 - 41. Let r be -18*(2 - 15/k). Is r less than or equal to 20? True Suppose 617 = -2*f + 153. Let t = f - -252. Is 12 not equal to t? True Let a be 135 - (4 - (4 + 0)). Let y = 3510 + -3375. Is y bigger than a? False Let h = -22600 - -19068. Is h at most -3532? True Let i = 36.5 + -35.06. Let v = -1.4 + i. Is 19 <= v? False Let s = 4602 - 4615. Do s and 15 have the same value? False Suppose 3*o = -d + 121, 0 = -4*d - 3*o + 766 - 246. Suppose -5*f - 80 = -4*t, -10*t = -5*t + 2*f - d. Are t and 9 equal? False Let z(f) = -10*f + 124. Let a(c) = 7*c**3 + c**2 - c + 25. Let j be a(0). Let b be z(j). Is b less than -124? True Let a = -82920 - -82885.011. Let c = -0.011 + a. Let z = 34 + c. Which is bigger: z or 6? 6 Let o = -10 + 29. Suppose -5*c - 20 = -3*c. Let q be c/(-4)*(1 + (-33)/(-5)). Is o less than or equal to q? True Suppose -418 - 226 = 2*l - t, 664 = -2*l - 4*t. Let d = l + 316. Is d != -44/5? True Let r be 3/5*(-2270190)/1612. Let m = r - -845. Which is bigger: 1 or m? 1 Suppose 0 = 16*x + 108*x + 1011 + 2461. Which is smaller: x or 0.25? x Let p be 1100/(-440) + (37494/(-69992))/(12/(-56)). Is 0 less than p? False Let g = -5059514/35975 - -3516/25. Let f = g - -201386/266215. Is f at least 0? True Let p = 7833.4 - -27.6. Which is bigger: p or 0.1? p Let h be (2/60)/((-72)/(-19392)). Let l = -1189/90 + h. Let u = -23/6 - l. Are u and 70 unequal? True Suppose w - 9*w - 64 = 0. Let d be 3/(-2)*w/24. Let s be (1 + -2)*(1 - 14). Is d <= s? True Let i(t) = -7*t**3 + t - 3. Suppose 3*x - 25 = 5*q, -4 = -q - 3*x + 9. Let d be i(q). Let h = d + -46. Which is smaller: 4 or h? 4 Let j = 49310 - 39595928/803. Let f be (5/(-15))/(2/6). Which is bigger: j or f? j Suppose 3*w = m - 2*m - 133, 2*w + 2*m = -94. Let s = w + 52. Suppose -10 = 4*h - 3*i, h - 2*h = 5*i - s. Is h at most as big as -1? True Let v = -1276 - -907. Are 7 and v non-equal? True Let n = -37 + 15. Suppose 21*c = 15*c - 1020. Let u = c - -146. Is n < u? False Let o = -858343/674 - -2547/2. Let a be (3 - 1) + -14 + 12. Which is bigger: o or a? a Let r = -167 - -59. Let q = -196 - r. Is -86 less than q? False Suppose -15 = -4*d + y, 13*y = -3*d + 14*y + 10. Suppose d*m = -16 + 36. Which is greater: -4/5 or m? m Let n = 2 + -5. Let i be -1*7 - (5 + n). Let b = 5 - 15. Is b at least as big as i? False Let r = -384 - 199. Let g = r + 588. Is 5 greater than g? False Let k(d) = 2*d - 1. Let f(j) = 20*j + 33. Let o(a) = f(a) - 2*k(a). Let u be o(-3). Do u and -14 have different values? True Let t = -14386510261689/2980 + 4827688056. Let v = t - 264/149. Let h = v - 176/5. Which is greater: 11 or h? h Suppose -15*r + 10*r - i = -4878, 2*r = 4*i + 1982. Which is bigger: r or 978? 978 Let s be (1 + -2)*(5 + -5). Let v = -663 + 28510/43. Which is greater: v or s? v Let h be 1992/(-6528) - ((-210)/51 - (-6 - -2)). Is h > -0.229? True Suppose 52 = 5*b - 48. Let j be 54/8 - 15/b. Let c be 1 + 3 + j/(-2). Are 2/5 and c non-equal? True Let c = 1246/11 - 11126/99. Suppose -j + 3 = 4. Is c at most j? False Suppose 193439 = 178*m - 89581. Does m = 1592? False Let y = -0.1385 + 8.1385. Let h = 23/3 + -221/30. Is y smaller than h? False Suppose -5475 = -216*u - 11209 - 13058. Is -883/10 at most u? True Let j = -1367471/62 + 22057. Let z = j + -15821/682. Which is greater: -22 or z? -22 Let o be (12/(-9))/((-1)/3). Let u be 14/o*(-52 - -46). Is u smaller than 6? True Suppose 4*r = 15 + 21. Suppose i - 3222 = 7*i. Let z be (-2)/120*i + (-2)/10. Which is smaller: r or z? z Let r = -1.68 - -1.58. Let p = 8 - -160. Do p and r have the same value? False Let o = 6955808386415/467 + -14894676924. Let d = o + 12285. Is d < 1? True Suppose -23*u + 218 + 449 = 0. Let x = 72 + -49. Which is bigger: x or u? u Let q be ((-4)/50)/((-531)/5640). Let a be (8 - (-644)/(-105)) + -1. Let n = q - a. Which is bigger: -1 or n? n Let s = 14099 + -15860. Which is bigger: s or 0.1? 0.1 Let y = -249232/129 - -1932. Let o = -4980 - -4980. Which is smaller: o or y? y Let v(g) = 0 - 4*g + 1 + 12 + 0. Let w(i) = -i**3 + 14*i**2 - 2*i + 31. Let u be w(14). Let j be v(u). Which is smaller: 1/51 or j? 1/51 Let o be (-13 + (-115)/(-10))/((-9)/(-6)). Which is bigger: -2/5247 or o? -2/5247 Let l = -27 + 24.3. Let m = l + -3.3. Let u = -0.98 - 3.02. Is u greater than m? True Let y = 30225 - 30290. Is y <= 1/83? True Let v = 1355 + -1215. Do v and 1/2 have the same value? False Let i = 5 - 2. Suppose 0 = 3*n + i - 9. Suppose o = 4*z - 15, 6*z = n*z + 4. Does o = -34/3? False Suppose 0 = k - 5*k. Suppose k = 28*u - 25*u + 90. Let c be -6*(-3)/6 + -35 + 32. Is u at most as big as c? True Let v = 0.0733 + 136.7267. Which is greater: 0.1 or v? v Let h = -36332 + 351221445/9667. Is h greater than -1? True Let s = -151 + 97. Let f = s - -193/3. Are f and 10 nonequal? True Let j = 7997 +
{ "pile_set_name": "DM Mathematics" }
+ 61 for w. 9 Solve 77*a = 386*a + 4326 for a. -14 Solve -4431 = -1373*b + 3807 for b. 6 Solve 247*i - 195*i = 936 for i. 18 Solve -71*u = 16*u + 1131 for u. -13 Solve 40375 = 58*l + 40085 for l. 5 Solve -1471*b - 686*b = -71181 for b. 33 Solve 15243 = 55*z + 15903 for z. -12 Solve -320 = 417*r - 231*r - 206*r for r. 16 Solve -7*m - 20*m - 837 = 0 for m. -31 Solve 0 = -51*c + 159 - 6 for c. 3 Solve 241*u - 2802 - 3434 = 1235 for u. 31 Solve 324 = -684*i + 939 + 753 for i. 2 Solve -8*t - 51*t = 779 + 224 for t. -17 Solve 11 = -3*o + 27 - 13 for o. 1 Solve -21*i + 0*i = 866 - 908 for i. 2 Solve 187*x + 3731 + 2440 = 0 for x. -33 Solve 0 = 20*y + 139 - 279 for y. 7 Solve -52*h + 9603 = 84*h + 7699 for h. 14 Solve 74*m + 371 = 18*m - 189 for m. -10 Solve 4*n + 13038 = 13082 for n. 11 Solve -25*j - 262 = -37 for j. -9 Solve -1069*v - 274*v = -48348 for v. 36 Solve 5*t + 200*t = 2255 for t. 11 Solve 169 = 38*b + 891 for b. -19 Solve 72*k = -41*k + 30*k - 1577 for k. -19 Solve 47*w + 200 + 740 = 470 for w. -10 Solve -2 + 4 = 48*g + 2 for g. 0 Solve 663*a = 569*a - 752 for a. -8 Solve 16*v - 82 = 42 - 92 for v. 2 Solve 0 = 75*g - 8531 + 9431 for g. -12 Solve 4380 = 6*z + 18*z + 5196 for z. -34 Solve -163 = 242*y + 1531 for y. -7 Solve -63*j + 150 = 528 for j. -6 Solve -12*i = -10*i - 8 - 16 for i. 12 Solve -522*l + 128*l = -3940 for l. 10 Solve -14*q = 16*q + 115 - 25 for q. -3 Solve -91*i - 27756 = -29849 for i. 23 Solve -69*t = 208 - 493 + 2286 for t. -29 Solve -19*o + 4955 - 4708 = 0 for o. 13 Solve 170*n - 229*n + 472 = 0 for n. 8 Solve 1256*y - 1257*y = 33 for y. -33 Solve 221*v + 857 = -27 for v. -4 Solve 44 = 38*t - 10*t - 292 for t. 12 Solve 3*c + 2591 = 2549 for c. -14 Solve -57*y - 708 = -3*y + 5*y for y. -12 Solve -43 = -36*v + 12*v + 101 for v. 6 Solve 189*v - 35*v + 1694 = 0 for v. -11 Solve 16*a - 23*a + 245 = 28*a for a. 7 Solve -8 = 67*h - 21*h + 1050 for h. -23 Solve -26082 = 10*r - 26112 for r. 3 Solve -290*b + 306*b = 0 for b. 0 Solve -602*y + 32 = -606*y - 4 for y. -9 Solve -z - 100*z = 79 + 931 for z. -10 Solve 18*r + 96 = 26*r - 16*r for r. -12 Solve 114*i + 7173 - 10023 = 0 for i. 25 Solve -239 + 139 = -20*d for d. 5 Solve 128*v - 124 + 36 = 936 for v. 8 Solve 147279 - 146847 = -36*m for m. -12 Solve -163*p - 174 - 152 = 0 for p. -2 Solve 0 = -154*a - 333 - 167 - 886 for a. -9 Solve -438 = -117*c - 1257 for c. -7 Solve -42*n - 667 = 78*n - 187 for n. -4 Solve 1328*k = -31827 - 5357 for k. -28 Solve 1550 + 230 + 167 = 59*l for l. 33 Solve 0 = -18012*a + 17971*a + 1312 for a. 32 Solve -425*y - 259*y - 4368 - 3840 = 0 for y. -12 Solve 33*v - 2180 + 2279 = 0 for v. -3 Solve 17*w = 6*w - 33 for w. -3 Solve -31*r + 65*r + 2180 = -75*r for r. -20 Solve 39*z + 19 = -15*z - 35 for z. -1 Solve 737*s - 192*s - 15260 = 0 for s. 28 Solve 83*i + 2364 + 1542 = -103*i for i. -21 Solve -1095 + 416 = 137*b + 1102 for b. -13 Solve -4106*i + 4197*i - 2912 = 0 for i. 32 Solve -7*n = -13*n - 24 for n. -4 Solve -19*f - 53 + 243 = 0 for f. 10 Solve -10*q - 38 = -108 for q. 7 Solve -73*d - 637 = -53 for d. -8 Solve 11*b + 0*b + 42 = 4*b for b. -6 Solve 530*b = 581*b - 204 for b. 4 Solve -116 - 34 - 174 = 36*k for k. -9 Solve 0 + 0 = 28*w - 23*w for w. 0 Solve 1491*w - 306 = 1508*w for w. -18 Solve 14*c - 7*c = -20 + 13 for c. -1 Solve -25996*j - 216 = -26008*j for j. 18 Solve 13182*p - 13190*p - 128 = 0 for p. -16 Solve 410 - 647 = 69*g + 453 for g. -10 Solve -4*m = -40 + 85 - 25 for m. -5 Solve 1259 = -104*r + 7*r - 681 for r. -20 Solve -38*j - 3746 = -3784 for j. 1 Solve 6*i - 10 - 4 = 16 for i. 5 Solve 36*m + 94*m - 977 = -1757 for m. -6 Solve -19328 = 15*o - 19598 for o. 18 Solve -696*k + 373*k = 807*k - 1130 for k. 1 Solve -y + 36*y = 420 - 35 for y. 11 Solve 168 = -206*f + 580 for f. 2 Solve 51*f = 139 + 97 + 70 for f. 6 Solve -240*u + 125*u = -77*u + 798 for u. -21 Solve 436*m = -2651 - 9993 for m. -29 Solve 141 = 117*p + 226 - 787 for p. 6 Solve 45*u - 24 = 43*u for u. 12 Solve -76*c = -40*c + 42*c - 1794 for c. 23 Solve 62*v - 21 + 245 = 54*v for v. -28 Solve 0 = 480*v - 679*v + 3781 for v. 19 Solve -14*k - 3*k = 24*k - 533 for k. 13 Solve 423 = -44*w - 262 - 415 for w. -25 Solve 221*n = -104*n - 40 + 1015 for n. 3 Solve 0 = 395*r - 414*r + 133 for r. 7 Solve -23*s = -126 - 81 for s. 9 Solve -8*d + 1575 = -65*d - 48*d for d. -15 Solve -67*q - 630 = 45*q - 49*q for q. -10 Solve 0 = -641*q + 656*q + 225 for q. -15 Solve -17565 + 17469 = 32*o for o. -3 Solve 5*r + 6*r + 238 - 18 = 0 for r. -20 Solve 2612 = 175*u - 888 for u. 20 Solve 640 + 838 - 1667 = 27*z for z. -7 Solve -2781 - 627 = -213*z for z. 16 Solve 147892*k + 506 = 147915*k for k. 22 Solve 0 = 108*f - 313 + 205 for f. 1 Solve -61*i = -66*i + 10 for i. 2 Solve 0 = 5*c + c + 61 + 29 for c. -15 Solve 0 = -341*k + 440*k - 2871 for k. 29 Solve 425 = 37*w + 114 - 96 for w. 11 Solve -445*c - 9253 = 24*c + 18*c for c. -19 Solve -54937*j = -54882*j + 1045 for j. -19 Solve -12142 = -12*n - 12250 for n. -9 Solve 20698*o + 651 = 20605*o for o. -7 Solve -2*a + 1022*a - 38760 = 0 for a. 38 Solve 0 = -1304*f + 1353*f + 539 for f. -11 Solve -97 - 70 = 28*n + 29 for n. -7 Solve 568 = -112*f - 30*f for f. -4 Solve 32*h + 11*h - 126 = h for h. 3 Solve -297 = -338*q + 392 + 1001 for q. 5 Solve 431*q - 949 + 1301 = 3369 for q. 7 Solve -26282*j = -26310*j + 84 for j. 3 Solve -58*p = -69*p + 1 + 21 for p. 2 Solve 1 - 36 = 9*w - 17 for w. -2 Solve -700*h + 676*h = -192 for h. 8 Solve -45*u + 638 + 70 = -102 for u. 18 Solve 1896 = 368*a + 106*a for a. 4 Solve -221*h + 1547 + 884 = 0 for h. 11 Solve 29*w - 31*w - 5 = 3 for w. -4 Solve 4*i + 93 = 41 + 16 for i. -9 Solve -312 = -61*u + 536 - 1336 for u. -8 Solve 0 = -17*m + 116*m - 792 for m. 8 Solve 47*m - 98 - 7 - 130 = 0 for m. 5 Solve 0 = -3*s - 3*s - 8*s - 112 for s. -8 Solve 7 = 11*h - 8 + 26 for h. -1 Solve 0 = 258*z - 127*z - 104*z - 783 for z. 29 Solve 7785 = 29*k + 8423 for k. -22 Solve 32*r + 23 = 311 for r. 9 Solve 78*u - 161 = -772 + 143 for u. -6 Solve -9*m = 24*m for m. 0 Solve 0 = 194*m - 298 + 604 + 276 for m. -3 Solve 229*f - 340 = 246*f for f. -20 Solve -283*s + 294*s - 22 = 0 for s. 2 Solve -36483 = -134*w - 32463 for w. 30 Solve z - 2 + 17 = 27 for z. 12 Solve -249*v + 285*v + 36 = 0 for v. -1 Solve -178*v = 446*v + 1248 for v. -2 Solve r + r = -195 + 171 for r. -12 Solve -387*p - 441 = -240*p for p. -3 Solve 639 = 104*r + 535*r for r. 1 Solve -12*y = -853*y + 6728 for y. 8 Solve 30*n - 97 = -39*n - 166 for n. -1 Solve 0 = -11768*b + 11749*b - 57 for b. -3 Solve 548*p = -132*p - 4080 for p. -6 Solve 116 = -68*g - 1040 for g. -17 Solve 162 = 47*j + 162 for j. 0 Solve -16*j - 7 = 9 for j. -1 Solve 0 = -340*m - 6202 - 3998 for m. -30 Solve 17*x = -240*x - 100*x - 8211 for x. -23 Solve 97*i = 920 + 1 + 340 for i. 13 Solve 917 = 132*s - 49 - 882 for s. 14 Solve 88436*r - 88360*r = 0 for r. 0 Solve -13*t + 166 + 55 = 4*t for t. 13 Solve 233 - 240 = -c for c. 7 Solve 426 = 61*t + 52*t - 42*t for t. 6 Solve 0 = -73*i + 5*i + 136 for i. 2 Solve -4792 - 4528 = -233*h for h. 40 Solve -136*p - 138*p - 15352 = 534*p for p. -19 Solve 38 = -15*d + 290 - 12 for d. 16 Solve -34*k - 2766 = -272*k - 3956 for k. -5 Solve -192*q - 205*q = -410*q - 195 for q. -15 Solve 5431*j - 5339*j = 3128 for j. 34 Solve -9*w + 245*w = 236 for w. 1 Solve -27 = -65*k + 38 for k. 1 Solve -119239 = 14*w - 119029 for w. -15 Solve 624*c - 544*c = 880 for c. 11 Solve 195 - 6 = 89*l + 11 for l. 2 Solve -5*h + 459 = 16*h - 87 for h. 26 Solve -207*g - 434 = 10*g for g. -2 Solve -35*w - 211 + 106 = 0 for w. -3 Solve -881 = 255*c - 204 + 853 for c. -6 Solve 211*a - 65*a = -438 for a. -3 Solve 61*x = -10*x - 26*x for x. 0 Solve -973*a + 966*a - 49 = 0 for a. -7 Solve -1867 = 227*x - 51 for x. -8 Solve -260*y + 1090*y + 830 = 0 for y. -1 Solve -34*g = 819 + 1065 - 626 for g. -37 Solve 6*j = 121 + 101 - 168 for j. 9 Solve -8*w - 82*w + 532 = -14*w for w. 7 Solve 114*s = -471 + 129 for s. -3 Solve 154 = -672*w + 789 + 709 for w. 2 Solve 0 = 8*k - 11280 + 11160 for k. 15 Solve 114*z - 246*z + 924 = 0 for z. 7 Solve 0 = -160*d + 144*d + 64 for d. 4 Solve 2*b - 581 + 574 = b for b. 7 Solve 169*m - 2286 = 587 for m. 17 Solve 120*c + 254 = -1906 for c. -18 Solve 25*c + 15453 - 15753 = 0 for c.
{ "pile_set_name": "DM Mathematics" }
**(-26) assuming o is positive. o**(-817/4) Simplify (o**(-17/4)*o/(o*(o**(3/16)*o*o)/o))/(o*o*o/(o*o**12*o*o*o*o)*o*o**(19/2)) assuming o is positive. o**(-31/16) Simplify (w**(-49)*((w/w**31)/w*w)/w)**18 assuming w is positive. w**(-1440) Simplify (k/(k*k*k**17))/k*k/k**(-15)*k**(3/2)/(k**(-3/5)*k) assuming k is positive. k**(-19/10) Simplify ((r*r/(r**(-5/3)*r)*r)/(r/(r/(r/(r/(r*r*r**10*r))*r))))/((r/(r*r**(-4/23)))/(r**(-2)/r)) assuming r is positive. r**(-932/69) Simplify o**(4/3)*o/(o/((o*((o*o**(-6/5))/o)/o)/o*o*o))*(((o/o**4*o)/o)/o)**(-35) assuming o is positive. o**(2117/15) Simplify ((c/(c/(c*c/c**0)))**(2/19))**12 assuming c is positive. c**(48/19) Simplify (z**(-2/3)*z**(2/5)*z*z**4*z**8*z)**(-13) assuming z is positive. z**(-2678/15) Simplify (i*i**12*i)**37*((((i*i/(i**(2/61)*i*i))/i)/i)/i)/i**(-3/20) assuming i is positive. i**(628443/1220) Simplify ((h*h**(-14))**16)**(-5/4) assuming h is positive. h**260 Simplify ((m*m**(1/3)/m)/m**(2/9))/(m**5/m**1) assuming m is positive. m**(-35/9) Simplify (z**(3/4)/(z*z**(-2/11)))/((z*z**(-3/5))/z*z)**(-2/107) assuming z is positive. z**(-1429/23540) Simplify ((d/(d/(d/d**(1/3)*d)))/d**(-2/5))/(d*d/d**(-5))**(3/41) assuming d is positive. d**(956/615) Simplify (s*s/(s**1/s)*s*s)**(-1/8)*(s/s**(4/9))/s**(-4) assuming s is positive. s**(73/18) Simplify (d**(2/19)/d**(-4/25))/(d*d*d**(-20)/d)**(-22) assuming d is positive. d**(-198424/475) Simplify ((w**(4/13)/w*w)/(w**15*w))/(((w**(-2/31)*w)/w)/(w*(w**(-7)*w)/w*w)) assuming w is positive. w**(-8313/403) Simplify (w/w**(-6/25))**(4/27)*w/(w/(w*w*w**36))*w/(w*w**(1/9)/w*w) assuming w is positive. w**(25699/675) Simplify ((d**(2/9)*d/d**(-2/7))**(2/31))**(-2) assuming d is positive. d**(-380/1953) Simplify (u/((u/u**(1/12))/u)*u*u/(u*u/(u*u*u*u**(-1/5)/u)*u))**35 assuming u is positive. u**(791/12) Simplify (f**(-1/5)/(f/f**29*f))**(4/11) assuming f is positive. f**(536/55) Simplify ((v**(2/33)/v*v**(3/10))/((v/(v**(2/15)*v))/(v/v**(-6))))**14 assuming v is positive. v**(15001/165) Simplify v**(2/9)*v*(v*v**(-1/5)*v)/v*v**(-1)/v**5 assuming v is positive. v**(-179/45) Simplify ((g**(-2/7)*g/g**(-6))/((g*g**(-3))/g**(1/2)))**(-5/3) assuming g is positive. g**(-215/14) Simplify (q/(q**(-1)*q))**(-1/6)/(q**(2/11))**32 assuming q is positive. q**(-395/66) Simplify (((o**(-8)*o)/((o/(o/(o/((o/(o**(-20)/o))/o))*o))/o))**(-1/9))**22 assuming o is positive. o**(-110/3) Simplify ((q**(-1)*q)/q)**(-2/17)*q/((q**(1/11)*q)/q)*q**(3/2)*q assuming q is positive. q**(1319/374) Simplify (k**(1/4)*k**5*k)/((k*k**(2/15))/k)**(4/5) assuming k is positive. k**(1843/300) Simplify (k**13*k**6)/(k/(k*k**(1/4)*k*k))**28 assuming k is positive. k**82 Simplify ((((y*y**(-4/7)*y)/y*y*y)/y)/y*y/y**6*y**(1/9)*y**(-2/7)*y)**23 assuming y is positive. y**(-5428/63) Simplify ((l**(-4/7)*l)/l)/(l**(-1/5)*l)*(l**3)**(1/33) assuming l is positive. l**(-493/385) Simplify ((h/(h/h**(-6/5)*h)*h*h)/(h*h**(-3)))/(h/h**(1/5)*h/h**(3/7)) assuming h is positive. h**(3/7) Simplify (c/(c/(c**(-12)/c)))**(1/3)*(c**(-2/15))**46 assuming c is positive. c**(-157/15) Simplify ((l**22*l)/(l/(l*l/l**15)))/(l*l*l/(l/(l*l**(1/3))))**7 assuming l is positive. l**(-43/3) Simplify o**(8/9)*o*o**(4/3)*(((o**(1/9)/o)/o*o)/o)/o**(2/29) assuming o is positive. o**(110/87) Simplify (w/((w*w/(w*w**(1/40))*w)/w)*w**(-1/5))/(w/w**(3/2)*w**4) assuming w is positive. w**(-147/40) Simplify ((((z/z**(1/2))/z)**(-41))**(3/26))**(-21) assuming z is positive. z**(-2583/52) Simplify x**(-2/55)*x**21*(x**(1/15)/x)/x**(-1/40) assuming x is positive. x**(26473/1320) Simplify ((b/(b/(b*b/b**32)*b))/(b*(b**27*b)/b))/(b/b**(-8/7))**43 assuming b is positive. b**(-1058/7) Simplify (((v/(v*v*v/(v/((v*v*v**(-1/7))/v))*v*v))/(v**(2/3)*v*v*v*v))/(v**(-1/2)/((v*v**2)/v)))**(-33) assuming v is positive. v**(2783/14) Simplify (l**25/l*l*((l*l*l*l**(-22))/l)/l*l)/((((l/l**(-30))/l)/l)/(l**17*l)) assuming l is positive. l**(-6) Simplify ((h/(h*h/h**(-5/3))*h/(h/(h*(h**(2/11)/h*h)/h*h*h*h)))/(h**(1/3)/h)**(-2/5))**(-28) assuming h is positive. h**(-1148/165) Simplify ((g**2*g*g)**(-26)/(g**(-2/7))**15)**(-28) assuming g is positive. g**2792 Simplify ((a/(a**(1/5)/a))/a)**(-3/17)*(a/a**(9/5))/((a*a*a/a**(3/5)*a*a)/a) assuming a is positive. a**(-369/85) Simplify (((r*r**(2/7)*r)/(r/(r*(r*r**(-2/5)/r)/r*r*r)*r))/(r**(2/5))**(-10/11))**(-34) assuming r is positive. r**(-29444/385) Simplify (((x/(x*x**(-2/3)*x))/x)**(-35))**14 assuming x is positive. x**(1960/3) Simplify (p**(-6/11)/((p/p**(-2/11))/p))/((p/(p/p**4))/(((p/p**(3/8)*p)/p)/p)) assuming p is positive. p**(-449/88) Simplify (o*o**(-1/12)*(o**(-4/9)/o*o)/o)/(o*o*o*o**(1/6)*(o*o**(-8)/o*o)/o) assuming o is positive. o**(155/36) Simplify (i*i*i**17*i/(i*i*i*i/(i/(i/(i/(i*i**(-1/8)/i))))*i))/(i*i**(-2/3)*i)**(-29) assuming i is positive. i**(1315/24) Simplify ((j**(-11)/j)**(16/7))**(-28) assuming j is positive. j**768 Simplify ((l/(l**(4/11)/l)*l*l**12)**(1/4))**(-34) assuming l is positive. l**(-2737/22) Simplify ((y**30/y)/y*y**(2/7))/(y**(-30)*y**(1/60)) assuming y is positive. y**(24473/420) Simplify (t**(1/13))**(1/11)*(t*t**7*t*t)**(-9) assuming t is positive. t**(-12869/143) Simplify (r/(r/r**(1/9)*r)*r**(1/4))**1 assuming r is positive. r**(-23/36) Simplify (d**(-1/8))**(-32)/(d**(-3)*d)**(-1/23) assuming d is positive. d**(90/23) Simplify ((o/o**(3/7))/o)**(-3/34)*o*o**6*o*o**(-11/6) assuming o is positive. o**(2215/357) Simplify r**11*r*r/(r/(r*r**(-2/7)*r))*(r**(1/16)/r)/(r*r**(-1/27)) assuming r is positive. r**(35725/3024) Simplify (t**(-2/13))**33/((t*(t*t**(-2/7))/t*t)/(t/t**(-12))) assuming t is positive. t**(565/91) Simplify (i**6/i**2)/(i**(-4))**(1/60) assuming i is positive. i**(61/15) Simplify (l/l**10)/l**9*(l**(-1/4)/l)/((((l**(-3/10)*l)/l*l)/l)/l) assuming l is positive. l**(-359/20) Simplify (j**(-14))**(-45)*(j*j/j**(-5))**(-40) assuming j is positive. j**350 Simplify (b**(-4))**(16/7)/(b*(b/b**(-6))/b*b**3) assuming b is positive. b**(-134/7) Simplify (((w*(w*w*w**(1/2))/w)**(15/4))**6)**(1/32) assuming w is positive. w**(225/128) Simplify ((((x*x**(1/2))/x)/x)**3/(x*x**(-1)/x*x**(-3)))**(-4/9) assuming x is positive. x**(-10/9) Simplify (p**1*p*p**(-3)*p*p/p**(-3/11)*p*p*p**(1/6)/p)**(-1/12) assuming p is positive. p**(-161/792) Simplify (v**(-13)/v**12)/(v/(v*v/(v**(-1/22)/v)*v)*v**(-1/4)) assuming v is positive. v**(-955/44) Simplify (k**(-1/5)*k)**(2/107)*k**(-11)/k**0 assuming k is positive. k**(-5877/535) Simplify ((i/i**7*i*i/(i**(1/13)*i))**(-2/65))**(-3/14) assuming i is positive. i**(-198/5915) Simplify (((k*k*k/(k*k*(k*k/k**(1/3))/k*k*k*k))/(k**(-14)*k))**(2/9))**(4/5) assuming k is positive. k**(248/135) Simplify ((i*i**(1/9))/i**(1/3))/(i**(2/29)/i*i**13) assuming i is positive. i**(-2947/261) Simplify ((j**(-1/6))**(-1)/(j**(1/3)*j*(j*j**(3/5)*j)/j))**2 assuming j is positive. j**(-83/15) Simplify (w/(w/w**(-20)))**(-7)/(w**(1/7)*w**(-2)*w) assuming w is positive. w**(986/7) Simplify ((i**(-2/3)*i)**(-17)/(i**2/(i*i**(1/7)*i)))**(4/11) assuming i is positive. i**(-464/231) Simplify ((t**20)**(-26/9))**(-45) assuming t is positive. t**2600 Simplify (t**(-1/20))**(6/7)/(t/t**(-15/8)*t*t**(-15/7)) assuming t is positive. t**(-71/40) Simplify (f*f**(-1/5))**(-2/29)*(((f/(f*f*f**1))/f)/f)**(1/6) assuming f is positive. f**(-314/435) Simplify (y/(y**(-8/5)/y)*y/y**23*y)/(y**1/y*(y/y**(1/31))/y) assuming y is positive. y**(-2692/155) Simplify (u**22*u**(14/3))/(u/(u/(u/(u*u**0))))**(-31/3) assuming u is positive. u**(80/3) Simplify (n/(n**(-2/85)/n*n))**(-15)/((n/n**(-17))/n)**9 assuming n is positive. n**(-2862/17) Simplify ((g/g**(-11)*g)**10)**(3/19) assuming g is positive. g**(390/19) Simplify (((m/m**5*m)/m*m/(m**4/m*m))/(m*(m/m**(1/2))/m)**(2/135))**(-25) assuming m is positive. m**(4730/27) Simplify (v**(1/11)/((v*v**24/v)/v))/(((v/(v*v**(-30))*v)/v)/(v*v**36)) assuming v is positive. v**(-175/11) Simplify (d*d/(d**(-21/2)*d)*d*d**(-30))/(d*d**12)**(-50) assuming d is positive. d**(1265/2) Simplify ((((t**(-17)*t)/t)/t)/t**(25/4))/(t**(-2/19)*t**9*t) assuming t is positive. t**(-2595/76) Simplify ((m/(m**(-2/99)*m*m))/m*m*(m*m**(-24/7))/m*m)/(m**(-1/6)*m**21) assuming m is positive. m**(-33599/1386) Simplify (i**(5/7)/i**24)**19 as
{ "pile_set_name": "DM Mathematics" }
lve -20*c = 5*s - 60, -1657*s - 4*c = -1655*s - 20 for s. 8 Solve 4*a + 330 = -19*m, m + 13 = -6*a + 2*a + 7 for m. -18 Solve 103*z - 100*z + 1 = -2*g, -15*z + g - 16 = 0 for z. -1 Solve 4*m - 8626*w + 8627*w + 7 = 0, -3*w = -3*m - 24 for m. -3 Solve 31*r + 3*f = 19*r + 96, -5*f = -2*f - 84 for r. 1 Solve -5*i = 4*w + 238, 2*i + 2*i = -0*w + 4*w - 14*w - 578 for w. -57 Solve -t = 2*u + 1, 0 = 3*u - 7*t - 3070 + 3148 for u. -5 Solve 112*n - 104*x + 107*x - 1959 = 502, -2*x = n - 20 for n. 22 Solve -16*y - 16*y + 20*y = -5*k + 285, -2*k - 3*k = -2*y - 35 for y. -25 Solve -4*k - 47 = 3*c + 14, 23*c + k = -5664 + 5137 for c. -23 Solve -2*g - 28 = -6*c, 2*g = -5*c + 80208 - 80170 for g. 4 Solve 58*l + 5*g = 61*l + 49, 2*l + 12*g = 3*l - 9 + 77 for l. -8 Solve 0 = g + 5, -2 + 0 = 2*f + 3*g + 2*g + 3 for f. 10 Solve -17*q = 3*n + 72, 7639 - 7645 = 2*q for n. -7 Solve -2*l = -6*m + 16 - 40 + 46, 3*m - 5*l - 67 = 0 for m. -1 Solve -1948*l + 2*h + 2 = -1948*l, 5*h = -2*l - 3 for l. 1 Solve 2*l + 4*v = 2783 - 2715, 74 = 2*l - 2*v for l. 36 Solve 4*g + 179 = -27*s, -19*s + 18*s + 3*g = g - 17 for s. -5 Solve -2*x + 43*q = 39*q + 142, -18*q = -0*q - 666 for x. 3 Solve p - 4*z = -88, -408 = -5*p + 2*z - 470 for p. -4 Solve -3*x = 3*w - 30, 457*x - 340*x = -5*w + 946 for w. 2 Solve 0 = -5*b - 0*f + f - 98 - 70 + 167, -22 = 4*b - 2*b + 5*f for b. -1 Solve -6*f - 60 = -3*y + 12, 5*f - 4*y + 46 + 17 = 0 for f. -11 Solve -5*q + 550 = 10*w, 3*q - 15*w = q - 14*w - 60 for q. -2 Solve 1152*c - h = 1155*c + 143, -c + 2*h - 50 = 0 for c. -48 Solve 26*p + 3*r = 27*p - 41, 0*p + 4*p + 0*p + 5*r + 40 = 0 for p. 5 Solve 16*v = 12*v - 2*a - 12, 3*v - 18 = 8*v + a for v. -4 Solve -4*x = 4*b - 24, -6*b - 57 = 5*x - 129 + 33 for x. -3 Solve -2*u + 8*u - 20 = 2*g, 6*u - 5*g - 22 = 5*u for u. 2 Solve -3*a - 366*m + 364*m = 17, 11*a + 3*m = -58 for a. -5 Solve 2*w + 32 = 3*w + 6*a, 0 = 3*w - 4*w + 3*a + 32 for w. 32 Solve -22*a - s + 136 + 27 = -36*a - 2*s, 18 = a + 6*s for a. -12 Solve -7*i + 1 + 11 = 27*r, 0 = 5*i - r + 36 - 4 for i. -6 Solve 205877*u + 10 = 5*z + 205879*u, 2*z + 2*u = 4 for z. 2 Solve 5005*b - 5006*b = -258*r - 8515, r + b + 32 = 0 for r. -33 Solve 2*g + 0 = -2*t + 15 + 5, 4*g = 4*t - 72 for g. -4 Solve 0 = -3*m - 12*x + 15, -4*m + x + 82074 = 82139 for m. -15 Solve 84 = 3*o - 73*i + 69*i, 4*i + 180 = 7*o for o. 24 Solve -2*o + c = -1, 23*o - 6 - 70 = 236*c - 246*c for o. 2 Solve 44 = 4*s, 1945*o - 5*s = 1924*o - 118 for o. -3 Solve 0 = 5*u - 5*i - 25, -2*i - 189 = -3*u - 83 - 92 for u. 4 Solve 0 = 4*o - 3*w + 4, 470*w - 4*w = 3*o + 467*w + 16 for o. -4 Solve 30431*j - 2*g = 30428*j - 45, 15 = 3*j + 2*g for j. -5 Solve -4*r - 453*n + 457*n = -0*r - 16, 0 = 4*r - n - 13 for r. 3 Solve 2*p - 24*p - 12*p + x - 882 = 0, 51141*p + 4*x = 51144*p + 70 for p. -26 Solve -15 = -3*j, 21*a + 3*j = 24*a - 3 for a. 6 Solve -5*n - 12*y + 7*y = -30, -154*n - 2*y + 3*y + 4 = -156*n + 3*y for n. 2 Solve 0*g + 2*g - 72*w = -75*w - 20, -86*w - 688 = 0 for g. 2 Solve 3*i + 5 = -37*b - 9, 14 = -0*b + 2*b + 2*i + 46 for b. 1 Solve -967*h = 2*w - 5794, 3*h - 2713*w + 2714*w = h + 8 for h. 6 Solve 5*u + 19 = 4*m, -2*u + 5612*m + 2 = 5608*m for u. -7 Solve -38*s + 205 = -3*x, 23*s + 18*s - 40 + 15 = 8*x + 44*s for x. -5 Solve -5*u - 403 = 5*z + 461 - 929, 5*z - 38 = 4*u for z. 10 Solve 5*l + 1246 = -399*k, -9 + 60 = -0*k + 4*k + 2*l - 73 for k. -4 Solve 9*i = 4*i - 2*b, -2*i - 2*b - 259 - 267 - 267 = -781 for i. 4 Solve 7 + 21 - 8 = 5*p, -12285*d + 12283*d + 170 = -4*p for d. 93 Solve 2 = -2*o - 5*h - 3, 4*o - 5526*h + 5521*h = -25 for o. -5 Solve 17*l + 82*w - 326 = 15*l, -w = -0*w + w + w - 12 for l. -1 Solve 4*g + 74 - 46 = -5*m, 0 = 7*g + 4*m + 30 for g. -2 Solve 0 = 3*q - 3*c - 390, 2*q - 4*c - 99 = 3*c - 78 + 224 for q. 133 Solve 14 - 127 = -8*r + 11*g, 0 = -3*r + 5*g - 7*g - 25 for r. -1 Solve t - 78 = -t + 10*j, -4*j = 6*t - 44 - 20 for t. 14 Solve -15*s = 5*s - 28*s + 9*s + 4*a + 28, -s - 13*a - 73 = 0 for s. -8 Solve -4*x - 45 = -2*h - 14 - 29, 9*h - 17 = 4*x + 4*h for x. 2 Solve 9*a = 6*a + 18, 27*m - 4*a = 32*m - 14 for m. -2 Solve j - w - 1 = 0, 4*j - w = 2313 - 2327 for j. -5 Solve 0 = -2*o + 3*k - 2*k - 2, 94*k + 5 = -5*o for o. -1 Solve -4*z + o - 10 = 0, 126949*z - o = 126950*z for z. -2 Solve 79*k = -6*s + s + 80*k + 20, s + 3*k = 20 for s. 5 Solve t + 16*j + 751 = 0, -4*t - j + 5*j + 96 - 91 = -187 for t. 1 Solve 0 = 5*c - 5*o, 215*o - 434*o + 217*o + 1 - 10 = -5*c for c. 3 Solve -3*d = -161*m + 159*m - 16, -4*m = -5*d + 30 for m. -5 Solve -c + 4210*b + 4 = 3*c + 4211*b - 8, 72 = 14*c - 4*b for c. 4 Solve 9016*n - 8 = 2*o + 9015*n, 2*o - 4*n + 44 = 0 for o. 2 Solve h + 2 = 0, -5*w + 83 + 81 - 12 = -3*h + 36 for w. 22 Solve 68 = -66744*i + 66746*i + 3*g - 56, 0 = 3*i - 4*g + 154 for i. 2 Solve -5*a - 7*t = -2*t + 3859 - 3789, -a = 5*t + 78 for a. 2 Solve 0 = -w + 314*h - 622*h + 306*h - 6, -w - 9*h - 34 = 0 for w. 2 Solve 40 = -5*s - 8*m + 153, 2*s - 3*m - 6 = 31 + 33 for s. 29 Solve -3*r + 1084 - 1044 = 8*y, 4*r = 4*y + 24 for r. 8 Solve 5*g - r + 11 = 0, -4*r - 1379 + 1529 = -73*g for g. -2 Solve -349 = -36*p + 299, 4*o - 5*p + 30 + 32 = 10 - 18 for o. 5 Solve 18*t = -5*c - 140, 0 = -512*t + 511*t - 5 for c. -10 Solve 54*f = -4*s - 208, -4690*s - 5*f = -4685*s + 260 for s. -52 Solve 20 = -5*t + 3*t - 7*c - 0*c, -12*t - 2*c = -17*t + 2*t - 5 for t. -3 Solve 3*t = -3*q - 123, 23*t - 19*t - 3028 = 72*q for q. -42 Solve -37*q + 5*w - 15 - 12 + 43 = 0, 5*w - 95 = 0 for q. 3 Solve 0 = v - 6*v + 2*v - 3*h + 222, -39 = 3*v - 4*h - 247 for v. 72 Solve -131*m - 4*g + 324 = -172*m, -2*m - 4*g - 4 = 16 for m. -8 Solve -750 = -3*b + 2*k - 708, 5*k + 30 = 0 for b. 10 Solve 0 = -2*y + 36*r - 8*r - 15*r + 79, r = 4*y + 92 - 275 for y. 46 Solve -124*a + 129*a - n = 4*n - 35, -2*a = -4*n + 18 for a. -5 Solve 15*f + 6*f = -5*c - 98, -2*f + 29 = -c - c - 3*c for c. -7 Solve -2*t + 10*a = 168, a = -33*t + 33*t + 17 for t. 1 Solve 4*s - 12*r = -42 + 82, 5*r = -15 for s. 1 Solve 0 = -5*n - m - 40, -4*m = 183*n - 166*n + 145 for n. -5 Solve -5*s = 19241630*b - 19241631*b - 13, 4*s - 14 = -b for b. 2 Solve -9869*z + 9873*z - 48 = 2*i, -6 = 2*z + 4*i for z. 9 Solve -13*o + 5*f + 9 - 74 = 0, -6*o - 55 = 5*o - 5*f for o. -5 Solve 4*y + 604 = -2*v + 698, -59 = -2*y + 3*v for y. 25 Solve -176*a + 357 = 5*v, -1764*a + 1760*a + 5*v = -3 for a. 2 Solve 0 = -g + 67*q + 805, 783140*g - 783138*g - 3*q - 38 = 0 for g. 1 Solve -3*u = -5*i + 38, -5*u - 3*i + 119905 = 119923 for u. -6 Solve -38*j - 85 = -20*z - 18*j - 22*j - 25, -3*z - 10*j = -203 for z. 1 Solve 4*n + 70 = 18*u + 6, 5*u + 1063 = 5*n + 1108 for n. -7 Solve 0 = -10564*o + 10567*o + 6*x - x + 75, 100 = -4*o - 2*x for o. -25 Solve 26*l = 14*l - 11*l + 4*a - 23, 4*l + 0*a + 4 = 5*a for l. -1 Solve -5*x + 0 = -10 + 15, 2*n + 6 = 2*x - 4*x for n. -2 Solve -9*z - 59671 = 5*b - 59575, b = -3*z - 30 for z. -9 Solve 0 = 4*z - 16, -30*p + 428*z + 430*z + 429*z = 1291*z + 194 for p. -7 Solve -3896515*z - 25 = 4*w - 3896514*z, -16*w + 5*z = 55 for w. -5 Solve -5*p = 7*f - 0*p - 130, f - p = -4*p + 62 for f. 5 Solve -9146*k + 39*d - 597 = -9143*k, -4*k = 4*d - 44 for k. -4 Solve 5*v - 22 = 42*z - 38*z - 126, -3*z + 67 = -v for v. -4 Solve 19 = 4*i - z, 108*i = 101*i + 4*z + 40 for i. 4 Solve -3*s = x + 24, 3*s - 6*s + 349*x - 347*x + 21 = 0 for s. -3 Solve -j + 21 = 3*w, 32054*j - 3*w = 32054*j - 6*w + 18 for j. 3 Solve 2*y + 6*y - 5*y + 52 = 7*y - 2*c, -2*c - 1285 = -415*y for y. 3 Solve -5*w = -7*t + 11*t + t - 435, -75*w + 9*t = 2*t + 609 for w. 0 Solve 19*m - 2*p - 407 = 0, 98 = 3*m - 5*p + 15 for m. 21 Solve 4*i - v + 2830 = 2830, 5*i + 4*v = 21 for i. 1 Solve 2*r = 80*m - 484, 127*m - 124*m + 5*r - 8 = 0 for m. 6 Solve 4*b - k - 13 = 0, -59319*b - k = -59324*b + 13 for b. 0 Solve -2*y = -o - 11, 3*y + 41942 = o + 41958 for y. 5 Solve -z - 3*l - 7 = 0, z - 12240 = 173*l - 12775 for z. -16 Solve k + 15 = -5*q + 4*k - 2*k, -q + 2*k + 128 = 29*k - k for q. -2 Solve -4*d = 5*b + 49, 2*d - 14571*b + 14576*b + 47 = 0 for d. -1 Solve 5*m - 204 = -4*n, 3483*m - 3485*m - 5*n = -68 for m. 44 Solve 3*f - 800 = -4*d - 1566 + 838, -f + 3*d + 126 = 10*d for f. 0 Solve -4*h + 23*l + 149 = 0, -7413*l + 7417*l + 43 = -5*h for h. -3 Solve -447*l = -444*l - 8*
{ "pile_set_name": "DM Mathematics" }
10*o**3 to the form k + d*o**2 + g*o + q*o**3 and give g. 0 Rearrange -2*a**2 - 3*a**2 - 7*a - 2*a**3 + 14 + 13 - 26 to u*a**3 + k*a**2 + w + f*a and give f. -7 Express 3*k**2 - 166*k**4 - 189*k**4 - 3*k - 34691 + 34692 + 2*k - 131*k**4 as w + v*k**4 + f*k + p*k**2 + a*k**3 and give f. -1 Rearrange -100 - 95 - 97 + 387 + 11019*r - 94 to the form i*r + g and give i. 11019 Rearrange 40*c - 4 - 124*c + 7 - 19*c - 438*c to the form j + o*c and give j. 3 Rearrange (-3*x + 5*x - 3*x)*(-668*x - 698*x + 1454*x) + 0 - 3*x**2 + 0 + (-3*x**2 - 4*x**2 + 6*x**2)*(-5 + 6 + 4) to the form l*x + z + r*x**2 and give r. -96 Rearrange 722*f - 2198*f - 1846*f - 393*f - 1635*f to the form c + r*f and give r. -5350 Rearrange (-2*p**3 + 5*p**3 + 2*p**3)*(1987*p + 1549*p + 115*p + 1496*p + 5358*p) to d + v*p**4 + n*p + h*p**3 + r*p**2 and give v. 52525 Rearrange 2 - 72*w**3 - 73*w**3 + 217*w**3 - 3*w**4 - 70*w**3 - 8*w**2 + 15*w to x*w + y + l*w**3 + f*w**2 + h*w**4 and give f. -8 Express -d - 3*d + 891*d**2 + d + 71 - 895*d**2 in the form z + h*d + y*d**2 and give y. -4 Rearrange (33*h**2 + 2*h**2 + 31*h**2)*(-h + 4*h - 2*h)*(-4 - 3 - 78)*(1 + 0 - 2) to the form r*h**3 + d*h + w + x*h**2 and give x. 0 Express (-1 - 2 + 5)*(-5701*d**2 + 11717*d**2 - 5473*d**2 + 2) as v*d**2 + r + a*d and give r. 4 Rearrange -13948*n**3 + 13948*n**3 - 116*n + 274*n**4 - 3 + 117*n + 2*n**2 to the form s*n**3 + t*n**4 + c*n**2 + f + h*n and give t. 274 Rearrange -2*p - p - 5*p - 2*p - p + 4*p - p + (-4 + 0 + 3)*(-3*p + 6*p - 2*p) + 0 - 2*p + 0 + (1214 - 2285 + 1314)*(-5*p + p + 3*p) to h*p + l and give h. -254 Rearrange 538 + 14427*j + 702 - 14428*j to f + c*j and give f. 1240 Rearrange 19835 + 894*n + 19839 - 39676 to a*n + r and give a. 894 Express (-68*f**2 - 14067 + 14067)*(f - 4*f + 10*f) + 28*f - 28*f - f**3 + 2*f**3 + f**3 - 2*f**3 as s*f**2 + w*f**3 + k*f + a and give w. -476 Express v**3 - 3*v + 111 - 12*v**4 - 107 + 4*v**2 - 5*v**2 + v - 58 as c*v + z*v**4 + l + j*v**3 + p*v**2 and give z. -12 Rearrange -28*d - d**2 + 31*d - 2007*d**3 + 2006*d**3 + 3 - 4*d**4 to the form j*d**2 + c*d**4 + r*d + t + g*d**3 and give r. 3 Express (-887 - 816 - 59 - 2*s - 177)*(4*s - 5*s + 2*s)*(-2 + 0 - 11) in the form i*s + v*s**2 + y and give v. 26 Express (0*i + i - 5*i)*(-4*i**2 - 33*i - 35*i + 44*i) in the form w*i**3 + r*i**2 + q*i + b and give r. 96 Express -8*c - 345*c - 1 + 1 + 6*c + 4 - 4 + (-2 + 3 - 2)*(-c + 0 + 0) - 5*c + 4 - 4 - 2*c - 4*c + 2*c as v*c + u and give v. -355 Rearrange 688 - l**3 + 27*l**3 - 34*l**4 - l + 2*l**2 + 9*l**4 + 19*l**4 - 684 to the form g + r*l + f*l**2 + q*l**4 + n*l**3 and give n. 26 Rearrange 23746*n**3 + 3 + 6*n**2 - 12069*n**3 - 11913*n**3 + n - 4 to i + l*n**2 + m*n + a*n**3 and give i. -1 Rearrange (10*x**3 + 18*x**3 - 5*x**3 + (2*x**2 + 0*x**2 + x**2)*(-5*x + 0*x - 2*x))*(-5*x + 34 - 34) to r*x + a + o*x**4 + w*x**3 + y*x**2 and give w. 0 Rearrange -265*r + 38348 + 103*r - 38339 to z*r + o and give z. -162 Express 4*i**3 - 5*i**4 + 3*i**2 + 332*i - 331*i - 3*i**3 + 4*i**2 in the form r*i**3 + a*i**4 + t*i**2 + m + x*i and give r. 1 Rearrange 5*u**2 + 3 - 3 - 66*u - 2*u**4 - 6*u**3 + 4*u**3 + 61*u to q*u**3 + o + d*u + b*u**4 + h*u**2 and give b. -2 Rearrange (-4*u + 0*u + 2*u)*(1 - 1 + 1) + 6*u - 24*u - 72*u + 2458 - 1787 + 10*u to the form j*u + f and give f. 671 Rearrange (m - m - m)*(m**2 + m**3 - m**2) + 2043*m**4 - 146*m**4 + 183*m**4 to the form q*m + o*m**4 + g + l*m**3 + z*m**2 and give o. 2079 Express -10850*d**4 + 5 - 8*d**2 + 19*d - d**3 + 11*d**2 + 10848*d**4 in the form l*d**2 + t*d + n*d**3 + v + u*d**4 and give l. 3 Rearrange t**2 - 2*t**2 + 4*t**2 + (-1 + 2 - 3)*(-5*t**2 + 2*t**2 + t**2) + 4*t**2 - 6*t**2 + t**2 + 4570 - 4570 + 4003*t**2 to k*t**2 + b*t + w and give k. 4009 Express -43*c**2 + c - 23*c**2 - 493489 + 493486 in the form p + k*c**2 + b*c and give k. -66 Rearrange 4*i**2 - 17*i**4 - 501*i + 1018*i + 1 - 2*i**2 - 512*i to the form z*i**3 + k*i**4 + u + b*i + q*i**2 and give u. 1 Rearrange -2 - 22759*n + 3*n**2 + 6*n**2 - 8*n**2 + 22783*n to the form v + k*n**2 + l*n and give l. 24 Express -18008*z**2 + 0*z + 0*z + 24116*z**2 in the form q*z**2 + o*z + w and give q. 6108 Rearrange 220*k**4 - 63 - 47 - 2*k**2 + 2*k - 219*k**4 to l*k**4 + h + t*k**2 + a*k**3 + b*k and give b. 2 Rearrange (-2 + 2 + 3*k)*(0 - 4 - 2) + 4*k + 218 - 218 + 2 - 4*k - 2 to the form s + n*k and give n. -18 Rearrange ((1 - 6 + 3)*(0 + 0 - i) - 1 - 12*i + 1)*(-3 + 0 + 2 + (4 - 6 + 3)*(2 + 0 - 1)*(-2 + 1 - 7)) to the form t*i + a and give t. 90 Express -287*o + 2810*o + 2541*o - 190*o + 1840*o in the form a*o + h and give a. 6714 Express (4*q - q - 2*q)*(2722*q - 4696*q**3 - 2722*q) in the form r*q**2 + h*q + b*q**4 + w + p*q**3 and give b. -4696 Express (0 + 0 - 2)*(-2*f + 4*f + f)*(563*f + 56*f + 3256*f) in the form o + r*f + p*f**2 and give p. -23250 Express (-2 + 1 - 1)*(-21 + 21 + 6*g**3)*((2 + 0 - 3)*(-4 + 3 + 3) + 18 - 15 + 70) + 0 + 0 - 2*g**3 as w + f*g**2 + k*g**3 + y*g and give k. -854 Express -5*f**2 + 5*f + 755*f**3 - 753*f**3 - 82*f**4 + 20 + 81*f**4 in the form u*f**2 + h*f**4 + a*f + c + w*f**3 and give h. -1 Express -37*d + 15*d**2 + 37*d + (0*d + 0*d - d**2)*(-6 + 3 + 4) + (17*d - 39*d - 12*d**2 + 9*d)*(2 + 3 - 6) as c*d**2 + g + a*d and give a. 13 Express (-6623*i**3 + 36278*i**3 - 11346*i**3)*(-i - 3*i + 2*i) as u*i**2 + z + t*i + p*i**4 + w*i**3 and give p. -36618 Rearrange 2*r**3 + 655*r**2 - 5 - 223*r**2 - 224*r**2 - 220*r**2 - 2*r to a*r**3 + p*r**2 + m + l*r and give m. -5 Rearrange -p**4 - 3*p**3 + 6*p**2 - 4*p**2 - 1413*p + 1507*p to the form z*p + g*p**4 + b + q*p**3 + j*p**2 and give j. 2 Rearrange (2 + 2*v - 2)*(4 - 2 + 0)*(3 - 4 + 10)*(51 + 16 - 17) to z*v + y and give z. 1800 Express 66860*c**2 + 6 + 3 + c**3 - 3*c + 2*c - 66853*c**2 as g*c**3 + n*c + h*c**2 + a and give g. 1 Rearrange 11*u**2 - 1329*u + 2*u**3 + 5530*u - 1517*u - 1436*u - 1454*u + 2 to i + b*u + o*u**3 + x*u**2 and give i. 2 Rearrange 610*i**4 - 295*i**4 + 0*i**2 + 7*i - 2*i**2 to the form l*i**3 + u*i**4 + m*i**2 + y + s*i and give m. -2 Express -k + 47 - 459 - 988 + 0*k in the form q + o*k and give q. -1400 Express (-42*a + 30 - 59 + 29)*(-8*a + 3 - 3)*(0*a - 2*a + 0 + 4) as k*a**3 + j*a + d + c*a**2 and give k. -672 Express -4 - 197931*w + 4 + 197926*w - 121*w**2 as i*w**2 + p*w + b and give i. -121 Express -13060*c**2 - 13062*c**2 + 26101*c**2 - 2*c - 78*c**3 in the form b + t*c**3 + h*c + n*c**2 and give n. -21 Rearrange 283*q + 301*q - 152 - 653*q to p + g*q and give p. -152 Express (1 - 1 + 1)*(-2*y**3 + 2*y**3 + 3*y**3) + (-3 + 0 + 10)*(-85*y**3 + 45*y**3 + 16*y**3) as u*y + b + x*y**3 + a*y**2 and give x. -165 Rearrange (33 + 38 - 5)*(1225*p - 1225*p - 8 + 5*p**2) to j + g*p + x*p**2 and give x. 330 Rearrange (-1 + 1 + i)*(873 + 432 + 800)*(-1 + 1 + 2*i**3) to m*i**2 + a*i**4 + d*i + y + t*i**3 and give a. 4210 Rearrange (-1447 + 2884 + 1041*p - 1441)*(-5*p**3 + 2*p**3 + p**3) to u + i*p**3 + s*p**4 + d*p**2 + c*p and give s. -2082 Express 414 - 6*g + 1446 + 19 + 981 as y*g + c and give c. 2860 Rearrange -4*l - 4 + 4 - 21*l - 262 + 262 + (1 - 3 + 3)*(l + 2*l - 2*l) - 4*l + 3*l + 4*l to u + n*l and give n. -21 Rearrange 13*m - 45*m**2 - 111*m - 35*m**2 - 13*m + 26*m**2 to the form b*m**2 + d*m + x and give b. -54 Rearrange (-y**2 + 3*y**2 - y**2)*(4 - 2 - 3)*(-4*y + 4*y - y)*(-19753 + 19753 - 1203*y) to the form f*y**3 + b*y**2 + d*y + q + v*y**4 and give v. -1203 Express (-20*g + 92*g + 111*g)*(0 - 1 + 3) + (g + 3*g - 2*g)*(-2 + 2 + 2) + 0 - g + 0 + 2*g + 2*g - 3*g + 0 + 0 - g in the form q*g + l and give q. 369 Express -4028*k + 2099*k + 15334*k**2 + 1929*k - 2 as z*k**2 + q*k + s and give z. 15334 Express 31*p - 7 + 24 - 44*p - 14*p - 15*p - 8 + 8 + (-p + 1 - 1)*(-4 + 1 + 1) as n + f*p and give n. 17 Express -6*j**3 - 13*j - 38*j**3 + 2*j + 94*j**3 + 2 - 13*j**3 as r*j**2 + g*j + x + f*j**3 and give x. 2 Rearrange (-12*c + 10*c + 7*c)*(-20*c - 331*c - 63*c) + (-1 + 1 - c)*(0*c - 4*c + 3*c) to x*c + o*c**2 + f and give x. 0 Express 35740 + 35735 - 71485 - j**2 - 32*j as w*j + g + b*j**2 and give w. -32 Express ((-3 + 3 - 2)*(1 + p - 1) + 5*p + 18 - 18)*(-1 - 1 + 0) + (4*p - 2*p - p)*(-16 + 3 - 27) in the form a + z*p and give z. -46 Rearrang
{ "pile_set_name": "DM Mathematics" }
9 - 2049 - 69*h**3. -69*h**3 Collect the terms in -1770 + 1770 - 14*x**2. -14*x**2 Collect the terms in -24*w + 5*w + w + 8*w - 372 + 11*w. w - 372 Collect the terms in 1309*a**2 + 1315*a**2 - 2636*a**2. -12*a**2 Collect the terms in -19514*r + 9717*r + 9796*r. -r Collect the terms in -102*g + 111*g + 6*g**2 - 9*g. 6*g**2 Collect the terms in 41027987*a - 41027987*a - 2*a**3. -2*a**3 Collect the terms in -456 - 68*n**2 - 460 - 54*n**2 + 916. -122*n**2 Collect the terms in 530*l - 288*l + 1144*l. 1386*l Collect the terms in -185*g + 1070*g + 201*g. 1086*g Collect the terms in -3*d**3 - 1085*d**2 + 4164*d**2 + 3256*d**2. -3*d**3 + 6335*d**2 Collect the terms in -3*g + 2*g + g - 19*g + 25*g**2. 25*g**2 - 19*g Collect the terms in 4*y + 7*y + 17*y**2 + 2*y**3 + 49*y - 6*y**2. 2*y**3 + 11*y**2 + 60*y Collect the terms in 1445 + 16*v**3 - 720 - 21*v**3 - 725. -5*v**3 Collect the terms in -14*v**3 + 1957 - 3909 + 1952 - 8*v**3. -22*v**3 Collect the terms in 12333*f**2 - 6138*f**2 - 6356*f**2. -161*f**2 Collect the terms in 4*p + 21264*p**3 - 21276*p**3 - 4*p + 0*p. -12*p**3 Collect the terms in -34*m - 28*m - 34*m - 35*m + 165*m - 37*m. -3*m Collect the terms in -4*l**3 - 662*l + 332*l - 14*l**3 + 330*l. -18*l**3 Collect the terms in -16*k**3 - 9*k**3 + 0 - 26*k**3 + 7 + 31*k**3. -20*k**3 + 7 Collect the terms in -120*d**3 + 11 + 5*d**3 - 44*d**3. -159*d**3 + 11 Collect the terms in -1395*l**3 - 823*l**3 + 1744*l**3. -474*l**3 Collect the terms in -1242*i**3 + 590*i**3 + 587*i**3. -65*i**3 Collect the terms in -70*d + 26*d + 1124*d**2 + 44*d. 1124*d**2 Collect the terms in 3 - 2 + 4*o - 8*o - 7*o**3 - 1. -7*o**3 - 4*o Collect the terms in -223*t - 2 + 9 - 43*t - 5. -266*t + 2 Collect the terms in 0 + 1 + 1 - 4 + 173*q. 173*q - 2 Collect the terms in 9 - 6 - 15*v - 3. -15*v Collect the terms in 13*u - 20*u**3 + 16*u + 132*u - 161*u. -20*u**3 Collect the terms in -2385*s**2 - 2420*s**2 + 4804*s**2. -s**2 Collect the terms in 13393*p**3 - 26205*p**3 + 12808*p**3. -4*p**3 Collect the terms in -5885*d**3 - 29*d**3 - 1218*d**3. -7132*d**3 Collect the terms in 0 + 2 + 0 + 270*v - 2. 270*v Collect the terms in -5 + 1398*o**3 + 8 - 1413*o**3 + 0 - 3. -15*o**3 Collect the terms in -14*y - 2 + 20*y - 7*y - 146*y. -147*y - 2 Collect the terms in 3 - 3 - 105*d**2 - 71*d**2. -176*d**2 Collect the terms in 412*m - 823*m + 401*m. -10*m Collect the terms in -58*r**2 - 53*r**2 + 428*r**2 - 269*r**2 - 50*r**2. -2*r**2 Collect the terms in -37 - 12*j**2 + 19 + 20. -12*j**2 + 2 Collect the terms in 37*g - 144*g + 75*g + 34*g. 2*g Collect the terms in 37412*i**2 - 3*i + 0*i + 3*i. 37412*i**2 Collect the terms in 3001436*d**3 + 3001430*d**3 - 6002876*d**3. -10*d**3 Collect the terms in q**3 - 42515473*q**2 + 0*q**3 + 42515473*q**2. q**3 Collect the terms in -15 - 222*m**2 - 26 + 209*m**2 + 9. -13*m**2 - 32 Collect the terms in 8*f + 17*f - 6*f + 16*f - 60*f + 17*f. -8*f Collect the terms in 12913 - 139*a**2 - 25819 + 141*a**2 + 12906. 2*a**2 Collect the terms in -21*r**2 - 8*r**2 + 43*r**2 + 17*r**2 + 0*r**2. 31*r**2 Collect the terms in -a**2 - 10 + 5 - 1463*a + 5 + 1487*a. -a**2 + 24*a Collect the terms in -2533*i + 5063*i - 2515*i. 15*i Collect the terms in -2168*c**2 - 98*c**3 + 4324*c**2 - 2156*c**2. -98*c**3 Collect the terms in -29*f + 188*f + 276*f + 88*f + 227*f. 750*f Collect the terms in -565467 + 565467 - 33*r**2. -33*r**2 Collect the terms in 0*m**3 + 10*m**3 - 25*m**3 + 13*m**3 + 3*m**3. m**3 Collect the terms in -135 + 722*n - 720*n + 135. 2*n Collect the terms in 93 + 100 - 22*v**2 - 198 - 21*v**2. -43*v**2 - 5 Collect the terms in -2*c + 102 + c + 89. -c + 191 Collect the terms in 1421991 + 13*g**3 - 710997 - 710994. 13*g**3 Collect the terms in 26*l - 96*l**2 - 43*l**2 - 28*l. -139*l**2 - 2*l Collect the terms in -3*f - f**3 - 1071 - 1182 + 3*f + 1426. -f**3 - 827 Collect the terms in -193 - 191 + 5*k - 192 + 576. 5*k Collect the terms in 2*w + 4*w**2 - 6 + 7*w**2 - 48 - 2*w**2. 9*w**2 + 2*w - 54 Collect the terms in 3*j + 0*j + 1435 - 1166. 3*j + 269 Collect the terms in 1869712 - 11*u**3 + 62*u**3 - 1869714. 51*u**3 - 2 Collect the terms in 250*g**2 - 251*g**2 + 39*g - 1 + 1. -g**2 + 39*g Collect the terms in -1607*m**3 - 6462*m**2 + 6462*m**2. -1607*m**3 Collect the terms in j + 5*j - 4*j + 0*j - 8*j. -6*j Collect the terms in 2*u - 513 - 514 - 517 + 1544. 2*u Collect the terms in 3 + 125*o**3 - 9*o**2 + 4 - 124*o**3 - 7. o**3 - 9*o**2 Collect the terms in -4*f + 2*f**2 - 35414*f**3 - 2 + 35411*f**3 - 2*f**2. -3*f**3 - 4*f - 2 Collect the terms in -12*d + 4*d + 8*d - 82*d**2. -82*d**2 Collect the terms in -497*p**3 + 299*p**3 - 406*p**3 - 186*p**3. -790*p**3 Collect the terms in 11 - 191*r**3 - 45 - 37 - 8 + 192*r**3. r**3 - 79 Collect the terms in -37953*c**2 - 13*c + 13*c. -37953*c**2 Collect the terms in 8 - 16 + 8 + 39*t. 39*t Collect the terms in -4 - 4*v - 4*v - 2*v - 7*v. -17*v - 4 Collect the terms in 1314*t**3 - 3*t**2 - 1122*t**3 + 3*t**2. 192*t**3 Collect the terms in 99*z - z**2 - 7 + 3*z**2 - 99*z. 2*z**2 - 7 Collect the terms in -567*w**2 + 1 + 126*w**2 - 1 + 437*w**2. -4*w**2 Collect the terms in 4*r**2 + 0*r**2 - 324*r + 2*r + 8*r. 4*r**2 - 314*r Collect the terms in 35*r + 43*r + 4 - 74*r. 4*r + 4 Collect the terms in 206*w - 6 - 4*w**3 - 206*w. -4*w**3 - 6 Collect the terms in -20*p**2 - 14*p**2 - p**2 + 61*p**2. 26*p**2 Collect the terms in 56*d + 65*d - 5*d + 4*d. 120*d Collect the terms in -1 + 1 - 651049*p. -651049*p Collect the terms in -18*v - 209*v**3 - 5*v + 23*v. -209*v**3 Collect the terms in 284*s**3 - 541*s**3 + 255*s**3. -2*s**3 Collect the terms in 2*n**3 - 7*n**3 + 55*n**2 - 110*n**2 + 30*n**2. -5*n**3 - 25*n**2 Collect the terms in -246*p - 283*p - 268*p + 796*p. -p Collect the terms in 2811534 - 2811534 + 4*j**3. 4*j**3 Collect the terms in -17 + 17 - 1092*i**2. -1092*i**2 Collect the terms in 0*m**2 - 19*m**2 - m**2 + m**2 + 15*m**2. -4*m**2 Collect the terms in 555 - 555 + s**2. s**2 Collect the terms in 1268806*v + 1268805*v - 2537608*v. 3*v Collect the terms in 1211*z**3 + 1316*z**3 - 2972*z**3. -445*z**3 Collect the terms in 74*f**3 - 46*f**3 + 0*f - 20*f**3 + 0*f. 8*f**3 Collect the terms in 20 - 27*k - 31*k + 4 + 59*k. k + 24 Collect the terms in -3*p - 8 - 1 - 25 + 5. -3*p - 29 Collect the terms in 87815*q**2 + 87775*q**2 - 175568*q**2. 22*q**2 Collect the terms in 592 - 746*z - 741*z + 1489*z - 592. 2*z Collect the terms in -9349354*w - 4*w**3 + 9349354*w. -4*w**3 Collect the terms in 445*z - 91*z - 119*z - 102*z - 114*z. 19*z Collect the terms in -l + 1899*l**2 - 1899*l**2 - 600*l**3. -600*l**3 - l Collect the terms in 17*r - 27*r + 23*r + 16*r - 51*r + 18*r. -4*r Collect the terms in 22*s**2 + 87*s**2 + 304*s - 15*s**2 - 304*s. 94*s**2 Collect the terms in 17 + 34 + 29 - 77 - 70*x. -70*x + 3 Collect the terms in -4*l**2 - 10*l**2 - l**2 + 46*l**2. 31*l**2 Collect the terms in -42*v**2 + 64*v**2 - 32*v**2 + 0*v + 3 + 0*v. -10*v**2 + 3 Collect the terms in 10543125*n + 3 - 10543125*n + 8*n**3. 8*n**3 + 3 Collect the terms in -289*i**3 + 31820*i**2 - 31820*i**2. -289*i**3 Collect the terms in -2 + 232*t + 250*t - 451*t + 2. 31*t Collect the terms in 953*n + 471*n - 5 + 309*n + 5. 1733*n Collect the terms in 58580*w - 135*w**2 - 58580*w. -135*w**2 Collect the terms in -7801*i**2 + 0 + 3 + 7805*i**2. 4*i**2 + 3 Collect the terms in 2 + 861*r + 1 - 8 + 1 - 468*r. 393*r - 4 Collect the terms in 16*h - 18*h - 11*h + 62. -13*h + 62 Collect the terms in -7*v**2 + 21*v**2 + v**2 - 10*v**2 - 6*v**2. -v**2 Collect the terms in 11*x**2 - 41000*x + 41000*x. 11*x**2 Collect the terms in 3165501 + 43*i**3 - 3165501. 43*i**3 Collect the terms in -5 + 19 + 27*v + 15*v - 56. 42*v - 42 Collect the terms in -21*y**3 + 4 - 156*y**2 + 156*y**2. -21*y**3 + 4 Collect the terms in -2695 - i**2 + 2695 + 6*i**2 - i**2. 4*i**2 Collect the terms in 47*o - 122*o + 66*o. -9*o Collect the terms in -32*g**2 - 29*g**2 + 145*g**2 - 20*g**2 - 67*g**2. -3*g**2 Collect the terms in -244*u - 5075*u - 760*u. -6079*u Collect the terms in -5*a**2 + 5681 - 5681 - 182*a + 183*a. -5*a**2 + a Collect the terms in 10 + 1 - 17*x + 39*x + 15*x - 8. 37*x + 3 Collect the terms in -3662*b**3 + 3660*b**3 + 2090 - 2090. -2*b**3 Collect the terms in 0 - 5 -
{ "pile_set_name": "DM Mathematics" }
4. What is the tens digit of i? 1 Let m(n) = 14 - 8 + 5*n + 9 - n. What is the units digit of m(5)? 5 Let s(c) = c**3 - 5*c**2 - 6*c + 7. Let n be s(6). Suppose -n*l = -4*l - 30. What is the units digit of l? 0 What is the units digit of (-205)/(-5) + 1 + 3? 5 Suppose -33 = -2*a + 13. What is the tens digit of a? 2 Let z = 6 - -2. Suppose -o - 2*j = 4, -z = o + o + 3*j. What is the units digit of (-38)/o + (-1)/(-2)? 0 Let c(m) = 2*m + 3. Suppose 5*l + 6*f - 4*f = 8, 5*l - f = 11. Let a = l - -2. What is the units digit of c(a)? 1 Suppose -12*r = -16*r. What is the units digit of 132/3 + 0 - r? 4 Let d = -41 + 25. Let w = -4 - d. What is the tens digit of w? 1 Suppose -44 = 8*n - 4*n. Let h = n - -21. What is the units digit of h? 0 Let q(h) = h**3 + 4*h**2 - h. Let l be q(-4). Suppose -4*w + 55 = w + l*f, -90 = -5*w + 3*f. What is the tens digit of w? 1 Suppose 10 - 622 = -4*v. What is the tens digit of v? 5 Let c(l) = 151*l - 2. What is the units digit of c(1)? 9 Let x = -5 - -5. Let m be 6 + -2 - (x - 1). Suppose 0 = -m*n + 3*n + 30. What is the units digit of n? 5 Let j(y) = -12*y**2 + y + 2. Let p be j(2). What is the tens digit of (-5)/(10/p) + 0? 2 Let y(s) = s + s**2 + 4 - 1 + 3 - 5. Let c be y(-2). Suppose 0 = c*i + 2*l - 26, -4*i - 3*l + 33 = -0*l. What is the tens digit of i? 1 Let b(j) = j**2 + 5*j**3 + j - 6*j**3 + 2 + 4*j**2. What is the tens digit of b(4)? 2 Let x be (8/4)/((-2)/44). Let h = -7 - x. What is the tens digit of h? 3 Suppose -71*g + 72*g = 66. What is the tens digit of g? 6 Suppose -22 = -5*m + 18. What is the units digit of m? 8 Let s be -1*1*24/(-8). Suppose 0*t - s*t = -45. What is the tens digit of t? 1 Let k(y) = 7*y - 7. Let j be k(-3). Let g = 65 + j. What is the tens digit of g? 3 Let r(b) be the second derivative of b**3/6 - 7*b**2/2 + 3*b. What is the units digit of r(9)? 2 Suppose 12*p - 240 = 3120. What is the hundreds digit of p? 2 Suppose 5*m - 28 = -3, 0 = -g + 2*m - 8. Suppose -4*k = -g*k. What is the tens digit of 54/3 - (0 - k)? 1 Let n(u) = -3*u**2 - 2. Let s be n(-2). Let l(j) = -j**2 + 2*j - 7. Let c be l(0). Let q = c - s. What is the units digit of q? 7 Let a(f) = 28*f**2 - 1. Let p be a(-1). Suppose -p = -5*d - 72. What is the units digit of (d/3)/3 - -5? 4 Let p = 220 + -148. What is the units digit of p? 2 Suppose -4*s + 304 = -5*d + d, d - 240 = -3*s. What is the tens digit of s? 7 Let q be ((-1)/3)/(1/(-6)). Let z be (q - 3/3) + 2. Suppose z*o - 17 = -b, -5*b + 6 = 3*o - 43. What is the units digit of b? 8 Let t be (-5)/((-15)/6) - 0. Suppose 0 = t*x - 5*o + 7 - 24, 2*x - 4*o = 18. What is the units digit of x? 1 Let j(n) = -19*n. What is the tens digit of j(-2)? 3 Let z = 51 + -35. What is the units digit of z? 6 Let p = -4 - -1. Let x(d) = 1 - 1 + 3*d + 5*d**2 - 4 + d**3. What is the units digit of x(p)? 5 Let l = 0 - -8. What is the units digit of -1 + l + (-12)/6? 5 Let d = 175 - 75. What is the hundreds digit of d? 1 What is the tens digit of -4 + 19/(-3)*-3? 1 Let h(j) = -j**3 + 3*j**2 + 7*j + 4. What is the tens digit of h(-3)? 3 Suppose 4*g + 48 = 4*p, 0 = -g - g - 5*p - 24. Let n = -3 - g. What is the units digit of n? 9 Let f = 201 - 105. What is the tens digit of f? 9 Suppose 24 = 2*i - 26. What is the units digit of 540/i + 2/5? 2 Suppose 3*q + f - 63 = -2*f, 5*f = 10. Suppose -5*v - q = -6*v. What is the units digit of v? 9 Suppose -q - 1 - 7 = -4*y, 0 = q - 3*y + 5. Suppose 3*z = -5*w + 13, 7*z - 3 = q*z. What is the units digit of w? 2 Suppose 0 = -4*p + 5*k - 109, k + 2 - 3 = 0. Let v = -40 - p. Let o = v + 25. What is the units digit of o? 1 Suppose -4*u - 38 = u + 2*g, u - 3*g + 11 = 0. Let k = 0 + u. What is the units digit of (-6)/8*192/k? 8 Suppose 2*i = -i. Suppose t + 0*t - 18 = i. Suppose 0*f + 3*f = t. What is the units digit of f? 6 Suppose 2*d = 4*a - 56, -5*a - d = 4*d - 85. What is the tens digit of a? 1 Let n(z) = z**2 + 3*z - 5. What is the units digit of n(-5)? 5 Suppose -l = -0*l - 24. Let d be (3/(-4))/((-1)/l). What is the units digit of (1 - d/4)*-2? 7 Let v = -12 - -19. Let q = v + -5. Suppose q*f - 11 = f. What is the units digit of f? 1 Let q(b) = b + b - b + 7. Let o = -13 + 7. What is the units digit of q(o)? 1 Suppose -81 = -2*k + 3*c, -4*c + 48 + 97 = 5*k. What is the tens digit of k? 3 Let z be 0/((0 + 1)/(-1)). Suppose 0 = -3*s + 12 - z. What is the units digit of s? 4 Let k = 61 + -29. Suppose 3*z - 3*w - k = -z, 4*z + w - 48 = 0. What is the tens digit of z? 1 What is the units digit of 727/4 + 12/(-16)? 1 Let m = -8 - 4. Let p = m - -44. What is the units digit of p? 2 Let c = 137 + -88. What is the units digit of c? 9 Suppose h = 9 + 17. What is the units digit of h? 6 Suppose 2*b - 61 = b. Suppose -14 = -d - 3*g + 13, 5*g = -3*d + b. What is the tens digit of d? 1 Let l(d) = 2*d**3 - d**2 - 2*d + 1. Let s be l(2). Let t = 17 - s. What is the units digit of t? 8 Let f = -2 + 7. Suppose 0 = f*x + 2*m - 70, -m = -2*x - 2*m + 27. What is the units digit of x? 6 Let m be 6/(-10) + (-18)/(-5). Let o(f) = -f - 2. Let w be o(-4). Suppose w*l + 17 = m*l. What is the units digit of l? 7 Let d(f) = -3 + 4*f**2 - f**2 - 2*f**2 - 2*f. Suppose 5*l - 8 = 3*l. What is the units digit of d(l)? 5 Suppose -5*m = -6*m + 2. Suppose -m = -f + 6. Let q = f + -7. What is the units digit of q? 1 Suppose 0 = 2*o + 14 - 170. Suppose 3*d + 0*d = o. What is the tens digit of d? 2 Let b = -44 + 95. What is the units digit of b? 1 Suppose -5*c + l + 2*l = -1164, -c - 4*l = -242. What is the hundreds digit of c? 2 Let t = 45 + -27. What is the units digit of t? 8 Suppose -4*u + 4*w + 0*w = 24, -2*u - 9 = -w. Let v = -59 - -51. Let q = u - v. What is the units digit of q? 5 Let i(j) = 270*j**2 - 4*j + 1. What is the hundreds digit of i(1)? 2 Let l be 10/(-35) + (-338)/(-7). Let x = l + -24. What is the units digit of x? 4 Let a(k) = -k**3 - 8 + 12 + k + k**2 - 5*k**2 - 6*k. What is the tens digit of a(-4)? 2 What is the units digit of -3 + 0 - (-40 - 1)? 8 Let x(g) = 6*g**3 + g**2 - 1. Let t be x(-1). Let r be (t/4)/(2/(-4)). Suppose 9 = -0*l + r*l. What is the units digit of l? 3 Suppose -15 = 2*b + 3*b. Let y(k) = 3*k**2 - k + 3. What is the tens digit of y(b)? 3 Let q = 3 + 2. Suppose 5*p - 45 - 20 = -q*w, 2*p = -w + 14. What is the units digit of w? 2 Suppose 116 = -m + 3*m - 3*o, 2*m = 4*o + 116. What is the units digit of m? 8 Let t(a) = -3*a - 4. Let u(c) = 7*c + 9. Let b(q) = -9*t(q) - 4*u(q). Let p be b(-2). Let n(m) = -m**2 + 2*m + 1. What is the units digit of n(p)? 1 Let v(u) = u - 15. Suppose 5*q + 5 = b - 5, 20 = 2*b + 4*q. Let p be v(b). Let o = p - -9. What is the units digit of o? 4 Let t be 15/5*3/1. What is the tens digit of ((-66)/t)/(2/(-3))? 1 What is the units digit of (-426)/(-7) - 4/(-28)? 1 Suppose 11*n = 16*n - 55. What is the units digit of n? 1 Let d(q) be the third derivative of -q**4/6 - q**3/3 + 3*q**2. Let b be d(2). Let s(w) = w**3 + 10*w**2 + 10. What is the units digit of s(b)? 0 Let l(d) = -d - 3. Suppose -3 = 3*n + 9. What is the units digit of l(n)? 1 Let n be 2/4 + 1794/12. Suppose n = 4*w + 5*v, -3*v = -2*w - 5*v + 74. What is the units digit of w? 5 Let p = -30 + 57. What is the tens digit of p? 2 Let w(y) = y**3 - 9*y**2 + 9*y - 5. Let i be w(8). What is the tens digit of (-301)/(-28) + i/(-4)? 1 Let k = 2 - -7. What is the units digit of k? 9 Suppose 77 = r - 2*o, 0 = -2*r - 4*o + 59 + 103. What is the units digit of r? 9 Suppose 7 = -5*g + 22. Suppose -g*x = -7*x + 16. What is the units digit of -1 + 6 - x/2? 3 Suppose 3*x + 7 = 1. Let d be ((-5)/2)/(x/4). Suppose 2*h = -5*o - 0*h + 86, 0 = d*o + h - 88. What is the tens digit of o? 1 Suppose -5*l = 3*p - 474, -p + 90 = l + 2*p. Suppose l = d + 3*d. What is the tens digit of d? 2 Suppose 4*q + 0 = -28. What is the units digit of (9/(-6))/(q/266)? 7 What is the tens digit of (0 - 1/(-1))*(-381)/(-3)? 2 Suppose -7*w + 288 = -671. What is the units digit of w? 7 Let n = 3 - -39. What is the tens digit of n? 4 Let w be 7 + (-2)/1 - 1. What is the units digit of (2/6)/(w/24)? 2 Suppose 21 = 5*f - 4*d, 4 = d + 3. Let m(l) = -2*l**2 + 3*l**2 - 4*l + 1 - 1. What is the units digit of m(f)? 5 Let r = 144 + 92. What is the tens digit of r? 3 Suppose -239 = 4*l - 655. What is the ten
{ "pile_set_name": "DM Mathematics" }
2.21 799584032.5077 Add together 194532.42 and 4266.4. 198798.82 Calculate 0.4 - 78615.835457548. -78615.435457548 0.22 + 7432.5616177 7432.7816177 Work out 2615231.891 - -3.88. 2615235.771 139834022832 - -277 139834023109 -23.53985963649+1 -22.53985963649 What is 10 - 2433.768082583? -2423.768082583 What is the distance between 0.3 and 148698483863? 148698483862.7 What is 6504462088663 minus 24? 6504462088639 What is -273587 less than -10.7407593? 273576.2592407 Add together -256162124138 and 0.9. -256162124137.1 Add -486075974 and 66.728. -486075907.272 What is 208948354.63 take away -32? 208948386.63 Add -1 and 10.91858092252. 9.91858092252 What is 827776731 plus 0.003? 827776731.003 516125005+-367 516124638 Total of 0 and 2518215.716595. 2518215.716595 Total of -143716.16 and -79630. -223346.16 What is -5 + 11034.46063494? 11029.46063494 What is -4 - 28348180.336? -28348184.336 What is -0.20849362 take away -0.7086? 0.50010638 What is 13297437304649 minus -0.1? 13297437304649.1 4919.5 - 4566239 -4561319.5 What is -8.1007 less than -732723? -732714.8993 Add -0.8 and -614909202.93. -614909203.73 -145051591434+-602 -145051592036 What is -42 + 165328298496.6? 165328298454.6 What is -203288.813 less than -1712? 201576.813 -57854503016 - 3.026 -57854503019.026 Calculate 3157 - 180794484350. -180794481193 Put together 145619346024 and 465. 145619346489 What is 0.249 minus 25840523.92894? -25840523.67994 What is 178068393 minus -15.8? 178068408.8 Subtract 10.86 from 18.2805101. 7.4205101 What is -4272679670 minus -2.16? -4272679667.84 Work out -92727666 - 644061. -93371727 Add -0.203 and 697099876. 697099875.797 Calculate -216 + 952.691134. 736.691134 What is the difference between -41541244 and 52? 41541296 266153800.7 - -63275 266217075.7 What is -25907 plus -60840779? -60866686 What is the distance between -11 and 24327581915? 24327581926 Sum 6160889799 and 2245. 6160892044 What is -3131927741 + 12? -3131927729 Work out 1006.652415 - 184. 822.652415 Work out -265095 + -2304188128. -2304453223 Work out 560992138436 - 0.0201. 560992138435.9799 Total of 0.2 and 6034820488.037. 6034820488.237 Sum 31.9 and 1730348075. 1730348106.9 What is 32 minus -174498.0698264? 174530.0698264 Calculate 216619501.0495 - 0.082. 216619500.9675 What is 0.52175517533 plus 1.2? 1.72175517533 What is 87331889.8 - -18.8? 87331908.6 What is 0.5 minus 27013197212477? -27013197212476.5 What is 547424378628 - 2? 547424378626 -1765414181+138541 -1765275640 Sum -88055 and -1365399241. -1365487296 What is 0.074347 - -782711784? 782711784.074347 Subtract -0.16373 from 16042238. 16042238.16373 -120.163 - 0.6156263 -120.7786263 Work out -833914368 - -477. -833913891 Calculate 1424987.082367 + -0.08. 1424987.002367 Work out 10959521822 - -3267.4. 10959525089.4 Subtract 0.12819 from 42453876.605. 42453876.47681 -14579+1208524689 1208510110 What is -6232840.796 - -0.17001? -6232840.62599 Put together 2 and 259660836696. 259660836698 What is -19.83 - 119898309.6? -119898329.43 Calculate -0.844 + 4.71038673. 3.86638673 What is 769.804 plus 3324.739? 4094.543 Calculate -12318688 + 0.2127422. -12318687.7872578 What is -116.19135 less than -3.09461? 113.09674 What is 0.1974 minus 262815151? -262815150.8026 3987311.33361+857 3988168.33361 What is 52017 minus 20.2007707? 51996.7992293 290.79 - 21089395 -21089104.21 What is 0.04 take away 578244569240? -578244569239.96 141846+-1404404748 -1404262902 Add together -28670323732 and -111.1. -28670323843.1 -5773 - -25759474.2 25753701.2 0.04 + 136326283.9899 136326284.0299 Add 1922080892 and 0.23. 1922080892.23 -10.9 + -13083679303 -13083679313.9 Calculate 1.1 - 24579660901924. -24579660901922.9 What is -0.478115664 minus -0.149? -0.329115664 What is 420 plus 39569734351? 39569734771 Sum 172920 and 0.8200004. 172920.8200004 Total of 15030754.6 and 302285. 15333039.6 What is -357167 - -1264059? 906892 What is -3.187858 + 8685550? 8685546.812142 -36432609 - -110229.6 -36322379.4 What is 446960 less than -445230942? -445677902 97214410.1602 - -4.3 97214414.4602 What is -0.07339787914 - 1.01? -1.08339787914 What is 213 - 38026.802307? -37813.802307 What is -2261.45411 - 61236? -63497.45411 What is -7.5 + -873.34804897? -880.84804897 Add together -2426593697 and 11.08. -2426593685.92 What is -72.9861448 minus 230? -302.9861448 Subtract 999.31 from 147.632. -851.678 What is -7370513987 take away -0.36? -7370513986.64 1.5419 + -716581087.8 -716581086.2581 What is -103294956441.6 take away -56? -103294956385.6 Add 2 and 5780283415506. 5780283415508 What is 621 - -144128.01? 144749.01 Add together -0.90369 and -11409440. -11409440.90369 3153890411387 - 2 3153890411385 Sum 9866 and 297918940. 297928806 Calculate 71784.523005 + 187. 71971.523005 Add together -19868.88889 and 0. -19868.88889 What is 77.9813 minus 280.441? -202.4597 4.44 - -95645596.18 95645600.62 Add 7129.209 and 3270677. 3277806.209 What is -4 + -171059542.686? -171059546.686 Put together 6756149 and -5667.41. 6750481.59 -2980 - -532264398 532261418 What is -3276611 minus 204.01? -3276815.01 Work out -3.12329 + -51504028. -51504031.12329 What is 0.095 less than -1591795978? -1591795978.095 What is -0.61278 plus -26494017? -26494017.61278 0.16 + -186307002751 -186307002750.84 What is -0.0572 - -10983290132? 10983290131.9428 Put together 0.2 and -2799548415.76. -2799548415.56 What is -10164.59 minus 257510? -267674.59 Add -19243 and -4333987480. -4334006723 Add 47181.700857 and 5. 47186.700857 What is 0.3 - 56.6314601938? -56.3314601938 Work out -0.09 - 40710181.39826. -40710181.48826 2054.9+-655731217 -655729162.1 What is -8093.144 take away -189963? 181869.856 Subtract -4.95216951097 from -12.7. -7.74783048903 What is the difference between -1377 and 259677822? 259679199 0.36 + -3737082088 -3737082087.64 Work out 19.23753 - 67892. -67872.76247 What is 2784152226 minus -2.677? 2784152228.677 Calculate -31415.49459 + 19. -31396.49459 What is -6.215476 take away -18462? 18455.784524 Total of 0.4 and 165872.710396. 165873.110396 Add -360550088.2 and -0.7. -360550088.9 12.8558914+0.19529 13.0511814 What is 0.48 less than 177297187621? 177297187620.52 Calculate 9280075 - 0.8998. 9280074.1002 What is -85 minus -1.185914344? -83.814085656 -1.44185021724116+0.2 -1.24185021724116 Total of -6130.52 and 275.3596. -5855.1604 Calculate 2705.457 + -23.56173. 2681.89527 What is the distance between 0.2733 and 1.152066487? 0.878766487 Calculate 138 - 18335680. -18335542 What is 0.7 plus 4233390.5282? 4233391.2282 What is 1507513646.4 minus -3968? 1507517614.4 -470634 + -86.0978 -470720.0978 Put together -2.65836344092 and -1.93. -4.58836344092 -0.013 - 32992.2508 -32992.2638 Add 53769 and -760820832. -760767063 What is the distance between 40309.6 and 922803372? 922763062.4 Work out -121.9694741 + 179. 57.0305259 What is 4 + 85964717983027? 85964717983031 What is 45 less than -0.98335098269? -45.98335098269 What is -4230923772.3 minus 0.2? -4230923772.5 Calculate 5 - -2181007035952. 2181007035957 What is -0.01069 take away -34783354? 34783353.98931 -0.1+992956584.832 992956584.732 What is the distance between -0.5 and -56733371.6237? 56733371.1237 What is -17 + 1.0705365468? -15.9294634532 3189492423661+1 3189492423662 Sum 27362 and 7524172. 7551534 Put together -128.602 and -14802183091. -14802183219.602 Add 0.5 and -27135090903268. -27135090903267.5 What is 2.2 + -4789492256? -4789492253.8 Total of -2.5947294 and 168744. 168741.4052706 What is -843489321 - -729.4? -843488591.6 Calculate -0.5 + -2570051678.04. -2570051678.54 -1.18+185572801637 185572801635.82 What is 0.33 plus 485.2470614? 485.5770614 What is -19303418101111 minus 0.17? -19303418101111.17 Work out -2041 - -199703463953. 199703461912 Add -23844820.878 and 166. -23844654.878 Total of -19 and 6315215120382. 6315215120363 Work out 0.49 + -834804870.48. -834804869.99 Work out 7247289.707 - 35. 7247254.707 Add together -8317 and -397.32379. -8714.32379 What is 36.8288196181 less than 0.084? -36.7448196181 Add -0.077 and -1061077201.6124. -1061077201.6894 Subtract -15 from -133759.3276594. -133744.3276594 What is the difference between -86387.8383 and 0.2451? 86388.0834 What is -47424716228 - -3967? -47424712261 Sum -0.02 and -1.27348413436.
{ "pile_set_name": "DM Mathematics" }
+ 7*d)*(21 + 19 - 54). -70*d Expand 2*x**3 - x**3 - 2*x**3 + (16*x**2 - 114*x**2 - 38*x**2)*(4*x - 4*x - x). 135*x**3 Expand (7 + 0 - 1)*(0*o + 4*o - 6*o)*(3*o - 3*o - 2*o + 0*o + o + o + (-4 + 6 + 1)*(0*o + 0*o + 2*o)) + (2*o - 2*o - 2*o)*(0*o + 4*o - 2*o). -76*o**2 Expand -275*p**2 + 275*p**2 + 13*p**3 + (0*p**2 - 2*p**2 + p**2)*(1 - 1 - p) + 2*p**3 - p**3 - 3*p**3. 12*p**3 Expand (a - 679 + 0*a + 2326)*(-3*a**2 - 2*a**2 + 6*a**2)*(2*a**2 + 3*a**2 - 3*a**2). 2*a**5 + 3294*a**4 Expand (-2*x**3 - 3*x**3 - 2*x**3)*(77 - 77 + 17*x**2). -119*x**5 Expand (13*r**2 - 185*r + 185*r)*(0*r - r - 2*r) + (-r + 7*r - r)*(2*r**2 - 2*r + 2*r) - 7*r**2 + 7*r**2 - 2*r**3. -31*r**3 Expand -75498*z - 264*z**3 + 75498*z + (-3 + 4 + 0)*(0*z**3 + 8*z**3 - 2*z**3). -258*z**3 Expand (-1 + 4 - 1)*(-3*j**2 + 3*j**2 + j**5 + (3*j + 0*j - j)*(-3 + 2*j**4 + 3)). 10*j**5 Expand -3*z**2 + 3*z**2 - 2*z**3 + (-1 - 1 + 3)*(-248*z**3 + 616*z**3 + 196*z**3). 562*z**3 Expand (3*g**4 - 3*g**4 + g**4)*(-2 - g + 2) + g - 2*g**5 - g + 223 - 223 + 15*g**5 + 0*g**5 - g**5 + 3*g**5. 14*g**5 Expand 8828 - 100*u**2 - 8828 + (-5 + 4 - 2)*(2 + u**2 - 2). -103*u**2 Expand (3*h + 29*h + 25*h)*(18 - 15*h - 18). -855*h**2 Expand -3*d + d + 5*d + (-3*d - 11*d + 2*d)*(1 + 1 - 3) + d - 2*d + 0*d. 14*d Expand 0*v**5 - 2*v**5 - 5*v**5 + (-1 + 0 - 1)*(-2*v**5 + 4 - 4) + v**5 + 3*v**5 + 3*v**3 - 3*v**3. v**5 Expand (-h - 4 + 4)*(-5*h + 4 - 4) + h**2 - 2*h**2 - h**2 + h**2 + 3 - 3. 4*h**2 Expand (-621*i**4 - 4*i**2 - 4*i**3 + 622*i**4 + 3*i**2)*(2*i - 2*i - 2*i). -2*i**5 + 8*i**4 + 2*i**3 Expand (-7*l**2 + 3*l**2 + 3*l**2)*(-l - 2*l + 5*l)*(-134*l - 40*l + 4*l + (-3 - 1 + 2)*(-2*l + l + 3*l)). 348*l**4 Expand -7*f**5 - f**5 + 2*f**5 + (-3*f + 3*f - f)*(f**4 + 6*f**4 + f**4). -14*f**5 Expand (14 + 1 + 3)*(-1 - q**4 + 2*q**4 + 2*q**2 + q**4). 36*q**4 + 36*q**2 - 18 Expand (-3*y**2 - 3*y**2 + 5*y**2)*((-2*y + y + 0*y)*((-3 - 2 + 7)*(-3 + 0 + 1) - 6 + 0 + 4 + 35 + 11 + 85) + (7 - 3 - 3)*(-y - 2*y + 2*y)). 126*y**3 Expand (3*a + 4 - 4)*(7*a - a - 5*a - 14)*(1 - 2*a**2 - 1). -6*a**4 + 84*a**3 Expand (5*p**2 - 3*p**2 - 4*p**2)*(13 - 15 - 19) + 0*p**2 + p**2 + 4*p**2. 47*p**2 Expand (-2 + 2 + j)*(14 + 2 + 4). 20*j Expand (-2 + 2 - 2*g**3)*(-g + 11*g - 3*g) - 2*g**4 - 3*g**4 + 0*g**4 + 11*g**4 - 3*g**4 - 2*g**4. -13*g**4 Expand (79*b + 2*b**3 - 79*b)*(-14 - 26 + 7 - 15). -96*b**3 Expand (1 + 12 - 19)*(-3*r - 2*r + 6*r)*(36 - 36 + 13*r**2). -78*r**3 Expand (3*k**5 + 5*k**5 - 6*k**5)*(-5 - 2 + 3)*(-4 - 1 - 1)*(-3 + 6 - 2). 48*k**5 Expand 32*u + 6*u**2 - 10*u**2 - 72*u - 2*u**2 - 3 + 3 + 2*u**2 - u + u + (-3*u + 6*u - u)*(2*u + 0 + 0) - 5*u - u**2 + 5*u + 2*u**2 - 3*u**2 + 0*u**2. -2*u**2 - 40*u Expand (1 - 3 - 1)*(-164*q - 153*q - 2 + 326*q + (0*q + 2*q + 0*q)*(-4 - 1 + 7)). -39*q + 6 Expand (-1 + 1 - 2*s)*(-2*s**3 - s**3 + s**3) + (-6 + 12 + 4)*(-5*s**4 + s**2 + 16*s**4 - 2*s**4). 94*s**4 + 10*s**2 Expand (1 + 1 - 4)*(-30*s + 99*s - 25 + 26). -138*s - 2 Expand (-2 - b**3 + 4*b**2 + 2)*(5*b + b - 4*b) - b**4 - 15*b**4 - 3*b**4 + (-2*b + 2*b - b**4)*(0 + 4 - 2). -23*b**4 + 8*b**3 Expand ((0*p + 3*p - p)*(1 - 3 + 3) - 7*p - 15*p + p)*(-2*p + 2*p + 2*p). -38*p**2 Expand (3*j + 0*j + 0*j)*(6 - 3 - 2)*(j + 3*j + 19*j + 0 + j + 0 + (-2 + 5 - 2)*(2*j + 3 - 3)) + 0*j**2 + 0*j**2 - 2*j**2. 76*j**2 Expand (205*l**2 - 205*l**2 + 19 + l**3)*(7*l**2 - 2 + 2 + (-l**2 - 3*l**2 + 6*l**2)*(-3 - 3 + 5)). 5*l**5 + 95*l**2 Expand 4*p**3 + 0*p**3 - 5*p**3 + (-3*p**2 + 2*p**2 + 3*p**2)*(8*p + 13*p - 93*p). -145*p**3 Expand (3 - 3 + 4*q)*(-4*q - 2*q + 3*q)*(0 - 5 + 3) + (0*q + 2*q - q)*(-q - 1 + 1). 23*q**2 Expand 3*y**4 - 2*y**4 + y**4 - 3*y**4 + y**4 + 61*y**3 - 29*y**3 + (-y**3 - 3*y**3 + 2*y**3)*(-4*y - y + 3*y). 4*y**4 + 32*y**3 Expand (-3 + 3 - 24*b**3)*(2*b + 1 + 2*b - b)*(-4 + 2 + 1). 72*b**4 + 24*b**3 Expand -49*z + 201*z + 213*z + (-2*z + 5*z - z)*(0 + 2 - 1) + (3 - 2 - 3)*(4*z - 2*z - 3*z). 369*z Expand ((3 - 3 + q)*(3 - 3 - 4*q**2) + 2 - 2*q**3 - 2)*(-16 + 10 + 8). -12*q**3 Expand (0*u - 3*u + 4*u)*(4 - 5 + 3)*(-22 - 18 - 21). -122*u Expand (0*y - 4*y + 7 - 4*y)*(-4 + 4 + 1). -8*y + 7 Expand 5*x**4 - 2*x**4 + x**4 + (9*x - 9*x - 4*x)*(-9*x**2 - 4*x**3 + 9*x**2). 20*x**4 Expand (-a - 4*a + 4*a)*(-1 + 0 + 0) + a + a - a + (a + 2 - 2)*(4 - 4 + 3) - 2*a - a + 4*a. 6*a Expand (3 + 1 - 1)*(-5*q + 6*q + 0*q)*(0*q - 3*q - 6*q). -27*q**2 Expand (i - 2 + 2)*(-2 + 0 + 1)*(829 + 18*i + 824 - 1655). -18*i**2 + 2*i Expand (6*k + k - 3*k)*(11*k + 3*k - 10 - 21*k). -28*k**2 - 40*k Expand (-5*k + 2*k - 3*k)*(-2 + 3 - 7). 36*k Expand (0*x**2 + x**2 - 3*x**2)*(93 - 93 + 37*x)*(0 + 2 + 7)*(3*x + x - 2*x). -1332*x**4 Expand (-21*c + 10*c - 17*c)*(-4*c + 0 - 4 + 6). 112*c**2 - 56*c Expand (4 - 3*i - 4)*(226 - 492 + 184). 246*i Expand (1155 + 39*z - 1155)*(0 + 5 - 2 - z**3 - 2*z**2 + 2*z**3 + 0*z**3 - z**3 + (-3 + 5 - 3)*(-2*z**3 + 2*z**2 - 2*z**2)). 78*z**4 - 78*z**3 + 117*z Expand 5*k**5 - 3*k**5 + 0*k**5 + k**2 - k**2 + k**5 + (-k + 1 - 1)*(0*k**4 - 4*k**4 + 3*k**4) + 0 + 0 - k**5 - 62*k**5 + 117*k**5 - 600*k**5. -542*k**5 Expand (4 - 4 - u**2)*((-3*u + 0*u + 2*u)*(0*u - 2*u - u) + 33 - 33 - 36*u**2). 33*u**4 Expand 0*s**3 - 9*s**3 + 21*s**3 + (-2*s - s + 2*s + (2*s - 3*s + 3*s)*(2 + 2 - 2) + 0*s + 0*s + 4*s)*(s**2 - 4*s**2 + 5*s**2). 26*s**3 Expand (-1 + 1 - g)*(0*g + 0*g - 2*g) - 6*g**2 - 8*g**2 + g**2 + 9*g**2 + 2*g**2 - 3*g**2. -3*g**2 Expand 6*m**2 - 4 - 24*m**2 + 14*m**2 + (-10*m + 5*m + m)*(-3 + 2*m + 3). -12*m**2 - 4 Expand (-2*b**2 + 2*b**2 + 2*b**2 + (b - b - 2*b)*(-b + b - b) - 2*b + 2*b - 2*b**2)*(-76*b**3 + 26*b**3 - 64*b**3). -228*b**5 Expand (0*w**2 - w**2 - 6 + 3)*(154*w - 13*w**3 - 154*w). 13*w**5 + 39*w**3 Expand (1 - 1 + 2*k)*(-3 + 4 - 3) + (-60*k + 6 + 103*k - 52*k)*(-1 + 5 + 0). -40*k + 24 Expand (-2*h**2 - 1 + 1)*(-18*h - 172*h + 72*h). 236*h**3 Expand o**4 + o**4 - 4*o**4 + (0*o**2 + 0*o**2 + 2*o**2)*(o**2 + o**2 + 0*o**2) - 113*o**4 + 298*o**4 - 119*o**4. 68*o**4 Expand (-u + 0*u - 3*u)*(-5 - 1 + 2)*(0 - 1 - 4). -80*u Expand (-650 - 187 - 70)*(-5 + 3 + 0)*(-2*w + 0*w + w)*(2*w**2 - 1 + 1). -3628*w**3 Expand (-3 + 3 - 3*b)*(-1 + 51*b + 71*b - 186*b) - 5*b**2 + 3*b**2 + b**2. 191*b**2 + 3*b Expand (31 + 29 - 58)*(4 - 3 + 3)*(4*o - 6*o + o). -8*o Expand (0*o**4 + 0*o**4 + o**4 + (2*o**4 - 5*o + 5*o)*(0 + 4 - 9) - 2*o**4 - o**4 + 2*o**4)*(-37 - 21 + 4). 540*o**4 Expand (-2 + 2 + 1)*(-4 + 3 - 1)*(-475681*j**3 + 475681*j**3 - 711*j**5). 1422*j**5 Expand (12 + 14 - 41)*(-3*d + 3*d + 3*d + (-d - 1 + 1)*(-1 + 1 - 2)). -75*d Expand (2 + 0 - 1 + 2*j)*(-193*j - 74*j + 79*j). -376*j**2 - 188*j Expand (-1 + 1 + y**3)*(0 + 2*y**2 + 0) + 55*y - 21*y**5 - 2*y**2 + 18*y + 5*y**4 - 72*y. -19*y**5 + 5*y**4 - 2*y**2 + y Expand (-z**2 + 2*z**3 + z**2)*(509*z + 240 - 130*z**2 + 131*z**2 - 238). 2*z**5 + 1018*z**4 + 4*z**3 Expand (-10*t**2 + 0*t**2 + 2*t**2)*(1 + 11*t**2 - 1) + 2*t**2 - 2*t**2 - t**4. -89*t**4 Expand -186*d**2 - 59*d**5 + 186*d**2 + (-1 + 1 - 2*d)*(0*d**3 + 0*d**3 + 2*d**4) + (-4 + 1 + 5)*(3*d**3 - 3*d**3 - 2*d**5). -67*d**5 Expand (-29*s**2 + 121*s - 121*s)*(-3*s + s + 0*s) - 3*s**2 + 3*s**2 - s**3 - 3*s**3 + 4*s**3 - 3*s**3 + (2*s - 2 + 2)*(3 - s**2 - 3). 53*s**3 Expand (5*i - i - 5*i)*(-i - 2*i + 4*i) + 3*i + 2*i - 6*i - 4*i**2 - 16*i**2 - 12*i + 12*i. -21*i**2 - i Expand 0 + d + 0 + 0 + 2*d + 0 + (1 + 5 - 4)*(0 + d + 0) + (-2*d + 3*d - 2*d)*(-63 + 29 + 30). 9*d Expand (-10*j**2 + 16*j**3 + 10*j**2)*(6*j - 3*j - 4*j) + (-4*j**3 + 5 - 5)*(3*j + 4 - 4). -28*j**4 Expand (2*u**2 - 3*u**2 + 4*u**2)*(3*u - 4*u + 6*u)*(4 + 5*u - 4). 75*u**4 Expand (v + 7*v + 0*v)*(33 + 3*v**2 - 33). 24*v**3 Expand (1 - 2 - 1)*(-1 + 3 - 4)*((3*a + 3*a - 4*a)*(3*a**2 - 2*a**2 + 0*a**2) - 4*a**3 - 11 + 11). -8*a**3 Expand (4 - 6 + 4)*(-32*h + 7*h - 44*h)*(0 + 2*h + 0). -276*h**2 Expand (-10 + 5 - 7)*(-5*j + 6*j + 6*j) + (-j + 0*j + 2*j)*((0 + 1 + 0)*(1 + 1 - 4) - 1 + 1 - 2). -88*j Expand (-41892*p - 264*p**2 + 41892*p)*(1 - 3 + p**2 + 3). -264*p**4 - 264*p**2 Expand (-3*n - 12*n**4 + 0*n + 9*n**4)*((-3 + 3 - 4)*(4*n - n - 2*n) - 11 - 17*n + 11). 63*n**5 + 63*n**2 Expand 4970 + 99*j**2 - 4970 + (1 - j - 1)*(j + 0 + 0) + 1 - 1 - j**2 + (3 - 5 + 1)*(-3*j**2 + 0*j**2 + 5*j**2). 95*j**2 Expand (-30*g + 32*g - 125 + 18)*(3 + 2*g - 3). 4*g**2 - 214*g
{ "pile_set_name": "DM Mathematics" }
(0 + (5 + (sqrt(700) + 2 - sqrt(700)) + 0 + 1*sqrt(700))**2)*-1. -749 - 140*sqrt(7) Simplify ((sqrt(266)/(sqrt(42)/sqrt(6)))/(sqrt(18)/(sqrt(9)*-5)))**2. 475 Simplify 2*(0 + (sqrt(500) + (sqrt(500)*-1*3 - sqrt(500)))*5 + 0)**2. 225000 Simplify -5 + 4 + -3*-1*sqrt(153) + 0 + sqrt(153) + -1*sqrt(153) + -4. -5 + 9*sqrt(17) Simplify (-1 + sqrt(1573) + sqrt(1573) - (0 + sqrt(13) + sqrt(52)) - (-2*sqrt(1404))/sqrt(3))**2. -62*sqrt(13) + 12494 Simplify ((sqrt(360) - 3*-2*sqrt(360)) + ((sqrt(360)*-2 + sqrt(360) + sqrt(360))*-5 - sqrt(360)))/(sqrt(16)/sqrt(2)*4 + sqrt(8) - (sqrt(648) + sqrt(648)*-1)). 18*sqrt(5)/5 Simplify (-1 + sqrt(363))**2 + (sqrt(300)*1 - sqrt(300)) - (sqrt(147) + 0 + (sqrt(3) + sqrt(3)*1*-1)**2). -29*sqrt(3) + 364 Simplify (sqrt(60)/(sqrt(98) + sqrt(98)*2 + sqrt(2)))/((sqrt(252)/sqrt(112))/sqrt(6)). 2*sqrt(5)/11 Simplify (6*(sqrt(612)*-2 + -3)*-2)**2 + -1. 10368*sqrt(17) + 353807 Simplify (sqrt(72) - 2*sqrt(72) - sqrt(72) - (sqrt(144)/(sqrt(24)/sqrt(3)) - sqrt(18)))/(sqrt(27)/(sqrt(75)*2)). -40*sqrt(2) Simplify ((sqrt(18) - ((sqrt(2592)*-1 + sqrt(2592) + sqrt(2592) - sqrt(2592)) + sqrt(2592)))/sqrt(6) + sqrt(36)/((-2*sqrt(132))/sqrt(11)) + -5)**2. 115*sqrt(3) + 1687/4 Simplify (sqrt(2) + (sqrt(50) - (-3 + sqrt(50))) + sqrt(50) + -4 + 5 + (sqrt(162)*2 - sqrt(162)))**2. 120*sqrt(2) + 466 Simplify 3 + -2*(6*(sqrt(132) - (sqrt(132)*2 - sqrt(132))))/(sqrt(900)/sqrt(3)). 3 Simplify (1*sqrt(130)*-5 + (-2*sqrt(130) - sqrt(130))*1)/((sqrt(490) - 1*sqrt(490)) + -6*sqrt(40)/sqrt(4) + sqrt(10)). 8*sqrt(13)/5 Simplify ((sqrt(19) + sqrt(19) + -6*sqrt(475) - 6*(sqrt(19) + -2 + sqrt(19))) + (sqrt(228) + sqrt(228)*3)/sqrt(12) + -4 + sqrt(76))**2. -544*sqrt(19) + 22028 Simplify -4*6*(2*sqrt(576))/(-4*1*sqrt(2))*3. 432*sqrt(2) Simplify ((sqrt(1728)*-2 - sqrt(1728)) + (sqrt(1728) - ((sqrt(1728) - 2*sqrt(1728)) + sqrt(1728))))/(sqrt(1296) - 6*(sqrt(1296) + sqrt(1296)*-2)). -4*sqrt(3)/21 Simplify (2*sqrt(1375))/sqrt(11) - (sqrt(120)/sqrt(2)*5)/sqrt(12). 5*sqrt(5) Simplify -5*((-5 + sqrt(448)*-2 + sqrt(448))**2 + (-1*(sqrt(700)*-2 - sqrt(700) - sqrt(700)))**2). -58365 - 400*sqrt(7) Simplify (((sqrt(190)*-1 - sqrt(190))*6)/(sqrt(20)/(sqrt(12)/sqrt(6))))**2. 2736 Simplify ((sqrt(77) + (-1*sqrt(77) - sqrt(77)))*-5*-2)/(sqrt(110)/((sqrt(10) + sqrt(30)/sqrt(3))*-5)). 100*sqrt(7) Simplify 3*(sqrt(165)/(sqrt(11) + sqrt(704)))/((sqrt(30) + sqrt(60)/sqrt(2))/sqrt(6))*1. sqrt(3)/6 Simplify ((3*sqrt(1377) - sqrt(1377))*-5 - (1*sqrt(136)/sqrt(8) + -1))**2. -182*sqrt(17) + 140778 Simplify -1 + (-2*sqrt(26)*2)/(sqrt(16)/(sqrt(24)/sqrt(3))). -4*sqrt(13) - 1 Simplify ((sqrt(77)*2*-5)/sqrt(11) + -5 + sqrt(252)*2)**2*-6. -318 + 120*sqrt(7) Simplify (sqrt(500)*1 + -4 + sqrt(245) + 2 + sqrt(245) + -2)**2. -192*sqrt(5) + 2896 Simplify sqrt(5) + (-4*sqrt(15))/sqrt(3) + -3 + 2*(sqrt(500) + 4). 5 + 17*sqrt(5) Simplify ((-2*-1*((sqrt(1008) - (sqrt(1008) - -2*sqrt(1008))) + sqrt(1008)))**2 - ((sqrt(1008) - (sqrt(1008) - sqrt(1008)*1)**2)*3 + 5)) + 1. -36*sqrt(7) + 4028 Simplify (6*(-2*sqrt(637) + -4 + 3) + -4)**2. 1680*sqrt(13) + 91828 Simplify (-5*(sqrt(2736) + 0 + sqrt(2736) + 5 + 4) + -4)**2. 11760*sqrt(19) + 276001 Simplify -3*(sqrt(3) + (sqrt(147) + -1)**2) - (sqrt(363) + ((sqrt(363) + 0)**2 + 2 - sqrt(363))). -809 + 39*sqrt(3) Simplify -4*(-4 + sqrt(12)*3) + (-3 + -1*(1 + sqrt(48)))**2. 8*sqrt(3) + 80 Simplify 4*(-3*(3 + sqrt(52)/sqrt(4)) - (-4 + (3*sqrt(13)*-1)**2)). -488 - 12*sqrt(13) Simplify (sqrt(11) - (-1 + sqrt(1331))**2 - (sqrt(66) + 1*sqrt(66))/sqrt(6)) + (-5 + -4 + sqrt(44)/sqrt(4) + -1)**2. -1221 + sqrt(11) Simplify ((sqrt(39) + sqrt(39) + 3*1*sqrt(39) - sqrt(39))/(sqrt(36)/(sqrt(12)*1)))**2. 208 Simplify -5*(-5 + (sqrt(17) + 2 + sqrt(1700) + sqrt(1700) + sqrt(17) - sqrt(119)/(sqrt(28) + sqrt(7)))). -325*sqrt(17)/3 + 15 Simplify (sqrt(16) + (sqrt(1024) - sqrt(1024)*1) + sqrt(1024) + sqrt(16) + (-2*sqrt(1296) - sqrt(16) - sqrt(16)) + sqrt(16))/(sqrt(48)/(2*sqrt(6)*3)). -54*sqrt(2) Simplify -5 + (sqrt(170)*2)/sqrt(10) + 3 + -2 + 5 + -1 + sqrt(17). 3*sqrt(17) Simplify -2*(-4 + sqrt(80)*-1) + 5. 13 + 8*sqrt(5) Simplify 4 + (1*sqrt(17) + 1 - (sqrt(17) + 0 + 2)) + -3. 0 Simplify (sqrt(600) + 2*sqrt(600)*2)/(sqrt(12) - 1*sqrt(48)/sqrt(4) - sqrt(12)). -25*sqrt(2) Simplify (((-2*(sqrt(192) + 0) + sqrt(192) - (-1 + sqrt(192))*2) + 2)*5)**2. -4800*sqrt(3) + 43600 Simplify 2*(-5 + (sqrt(468) - -5*(sqrt(468) + (-2 + sqrt(468))**2)))*2. -336*sqrt(13) + 9420 Simplify (5 + ((sqrt(187)*-1 - sqrt(187))*5)/(sqrt(891)*2))**2. -50*sqrt(17)/9 + 2450/81 Simplify ((2*(sqrt(560) + 1*sqrt(560) + sqrt(560) + sqrt(560) - sqrt(560)))/sqrt(10))/(-6*-1*sqrt(648) - sqrt(648)). 2*sqrt(7)/15 Simplify (-1*2*sqrt(4))/(sqrt(32) + sqrt(224)/sqrt(7)). -sqrt(2)/4 Simplify -4 + ((1 + sqrt(1377) + -2 + sqrt(1377))**2 - -2*(sqrt(1377) + 1))*-5. -27559 + 90*sqrt(17) Simplify -5 + -2 + (2*sqrt(931))**2 + -4 + -4 + 3. 3712 Simplify -4 + 4 + (sqrt(19) - (1 + (sqrt(19) - sqrt(76)/sqrt(4)) - sqrt(19)) - (sqrt(1539) + -1)). -7*sqrt(19) Simplify -2*-2*((sqrt(245) + 1 - sqrt(245)) + 3)*5. 80 Simplify -4 + ((sqrt(1700) - 1*sqrt(1700)) + 3 - (sqrt(1700) + -1)**2*4). -6805 + 80*sqrt(17) Simplify (4*sqrt(119)*-2*-6)/(3*(sqrt(7) + -2*sqrt(28)/sqrt(4) - sqrt(7))). -8*sqrt(17) Simplify 5 + (sqrt(475)*-1 - ((sqrt(475) + 4 - sqrt(475))**2 - sqrt(475))). -11 Simplify (-2 + sqrt(66)/sqrt(6))**2 + 4 + sqrt(66)/sqrt(6)*1*-2 + 2. -6*sqrt(11) + 21 Simplify (sqrt(2) + (sqrt(18)*-3)**2 - -5*(sqrt(72) - sqrt(2))**2) + (((sqrt(200) + 0)*-4 - sqrt(200) - sqrt(200)) + -3)**2. 361*sqrt(2) + 7621 Simplify (((sqrt(114) - (sqrt(114)*2 + sqrt(114))) + sqrt(114))*5 + (3*(sqrt(114) - -1*sqrt(114)) + sqrt(114) - sqrt(114)))/(2*sqrt(486)*-2). -sqrt(19)/36 Simplify (4*(sqrt(91) - (sqrt(91)*5 + sqrt(91))))/((sqrt(84) - (sqrt(84) - 4*sqrt(84)))/sqrt(12)). -5*sqrt(13) Simplify 2*-1*((sqrt(242) + -4 + sqrt(242)*-2)**2 + (-1 + 1*sqrt(242) - sqrt(242))). -514 - 176*sqrt(2) Simplify 2 + 2 + (1 + (-3*sqrt(11) + 0)**2)*-2. -196 Simplify -5*(sqrt(72) + -1)**2*-5 - (5 + -1 + (0 + sqrt(72) - sqrt(72))). -300*sqrt(2) + 1821 Simplify 4 + (-2*sqrt(85)*1)/(sqrt(35)/(-2*sqrt(7)) - sqrt(5)). 4 + 4*sqrt(17)/3 Simplify 2 + ((sqrt(343) - (sqrt(343)*-1)**2)*-1 - -4*(0 + sqrt(343))**2) + -4 + -3. -7*sqrt(7) + 1710 Simplify sqrt(27)/(1*sqrt(9)*3) - (sqrt(264)/(sqrt(8) - sqrt(648)))/sqrt(11). 11*sqrt(3)/24 Simplify (3*5*(-2 + sqrt(363))*-2 + -2)**2. -38280*sqrt(3) + 330064 Simplify (sqrt(63) + 2 - (sqrt(700) + 0))**2 + -4 + -5*sqrt(7)*3. -43*sqrt(7) + 343 Simplify ((sqrt(153) - (sqrt(153) + -3*sqrt(153)*2))*5)/(sqrt(1089) - 2*-3*sqrt(1089)). 30*sqrt(17)/77 Simplify ((sqrt(95)/(sqrt(20)/sqrt(4) + sqrt(5)) + -1 + sqrt(19) + 3 - (-2 + (sqrt(76)/sqrt(4) - sqrt(19)) - (sqrt(19) + 0 + sqrt(19) + 4)))*6)**2 + 5. 2016*sqrt(19) + 10688 Simplify 5 + -4 + (sqrt(78)/(1*sqrt(6)))**2 + 0 + 0. 14 Simplify 0 + (5*(sqrt(605) + (sqrt(605) - (0 + sqrt(605) + 1)) + sqrt(605) - (1 + 0 + sqrt(605))))**2. -1100*sqrt(5) + 15225 Simplify (-4 + (1*2*(2 + sqrt(2)) - (-2 + sqrt(160)/sqrt(5))))**2. -8*sqrt(2) + 12 Simplify (-4 + sqrt(117)/(sqrt(9) + sqrt(36)/sqrt(4) + sqrt(9)) + sqrt(1872)*-4)**2. 1144*sqrt(13)/3 + 265981/9 Simplify 5*(2 + -4*-2*sqrt(11) + (sqrt(44)*6)**2 + sqrt(11)). 45*sqrt(11) + 7930 Simplify (3 + ((sqrt(1088) + 1 - sqrt(1088)) + 1 - (0 + sqrt(1088) - sqrt(1088))*-4))**2 + 3. 28 Simplify (sqrt(210)/sqrt(28) - -6*2*sqrt(30))/(-6*sqrt(150)*-5). sqrt(5)/12 Simplify (-4 + 1*(sqrt(1872)*2 + sqrt(1872)) + (sqrt(1872) - ((sqrt(1872) + -1)*-4 - sqrt(1872)))**2 + 3)*6. -3240*sqrt(13) + 404442 Simplify (2*-3*(sqrt(288) + 2))**2 + 4*(-4 + sqrt(288) + -2 + sqrt(288) + sqrt(288)). 1872*sqrt(2) + 10488 Simplify (-1*((sqrt(104) - (sqrt(104) - (sqrt(104) + (sqrt(104) - -2*sqrt(104)))))*5 + sqrt(104))/sqrt(8) - (-2 + (sqrt(325) - -3*2*sqrt(325))))**2. -224*sqrt(13) + 40772 Simplify 1 + ((2*(sqrt(175) + -1*sqrt(175)))**2 - (sqrt(175) + -1*sqrt(175)*-4)**2). -4374 Simplify (-5*(sqrt(34) - sqrt(136)*-2)/sqrt(128))**2. 10625/64 Simplify (sqrt(38)*-1*-6 + sqrt(38))/(sqrt(200)*-1) + -4. -4 - 7*sqrt(19)/10 Simplify -2*(2 + -1 + (sqrt(720) + -1 + 1)*-3). -2 + 72*sqrt(5) Simplify (sqrt(76) + (sqrt(76) - -2*(sqrt(76) + -2*sqrt(76))) - -5*(sqrt(76) + sqrt(76)*2 + sqrt(76) + sqrt(76) + sqrt(76)))/(-2
{ "pile_set_name": "DM Mathematics" }
Collect the terms in -1390 + 74*z - 70*z + 456 + 469 + 465. 4*z Collect the terms in 590*q + 26 + 706*q + 581*q - 499*q - 26. 1378*q Collect the terms in -1744*z - z**2 + 3980 + 1744*z. -z**2 + 3980 Collect the terms in -4764 + 0*y**2 - 4757 - 13*y**2 + 14196 - 4675 - y**2. -14*y**2 Collect the terms in 1278929392 - 40*u**3 - 1278929392. -40*u**3 Collect the terms in 295 + 91 + 831*i - 386 + 17*i**3 - 831*i. 17*i**3 Collect the terms in -9*u - 8*u - 56*u - 13*u. -86*u Collect the terms in p**2 - 648565816*p**3 - p**2 + 648565761*p**3 + 0*p**2. -55*p**3 Collect the terms in 63*p + 16373*p**3 + 96*p - 159*p - 16369*p**3. 4*p**3 Collect the terms in -14234*d**3 - 2*d + 6798*d**2 - 6798*d**2. -14234*d**3 - 2*d Collect the terms in 98*k**2 + k + 839 + 71*k**2 - 41*k**2 - 831. 128*k**2 + k + 8 Collect the terms in 426*l**3 + 418*l**3 - 7470 + 3734 - 1280*l**3 + 425*l**3 + 3736. -11*l**3 Collect the terms in -v + 0*v + v - 13156269*v**2. -13156269*v**2 Collect the terms in -13 - 142*d**2 - 1163*d**2 - 32*d**2 + 13. -1337*d**2 Collect the terms in 169704214 + 169704201 - 339408415 - 2*u**2 + u**2. -u**2 Collect the terms in 192625*x**3 - 584*x**2 + 584*x**2. 192625*x**3 Collect the terms in 2*f**2 - 124925 - 4*f**2 - 69*f - 20225. -2*f**2 - 69*f - 145150 Collect the terms in 35 - 4*l**2 - 594 - 20 - 101. -4*l**2 - 680 Collect the terms in 1510203*o**3 - 754642*o**3 - 753904*o**3. 1657*o**3 Collect the terms in 1262*x**2 + 489*x**2 + 61*x**2 + 35*x**2 - 146*x**2. 1701*x**2 Collect the terms in -4*i + 86*i**2 - 5*i**2 - 45*i - 22*i - 8*i. 81*i**2 - 79*i Collect the terms in -460 + 832*x**2 + 555 - 829*x**2. 3*x**2 + 95 Collect the terms in 80847*v**3 + 3622145*v**3 + 949086*v**3. 4652078*v**3 Collect the terms in -732957*m**2 - 11*m**3 + 1465921*m**2 - 732964*m**2. -11*m**3 Collect the terms in 7235*q**2 + 230*q + 7 - 230*q. 7235*q**2 + 7 Collect the terms in -1 + 1 + 1471247*c - 1471203*c - 28*c**2. -28*c**2 + 44*c Collect the terms in 1135*k**2 + 956*k**2 - 1728*k**2. 363*k**2 Collect the terms in -39919 - 39924 - 689*o**2 + 159691 - 39923 - 39925. -689*o**2 Collect the terms in -45 - 52 - 30 - 44 + 204 - 33 - 12*l**2. -12*l**2 Collect the terms in 3 - 6 - 50134*s**3 - 2 + 5. -50134*s**3 Collect the terms in -230*a + 123*a + 55*a + 440*a**2 + 588*a**2 + 52*a. 1028*a**2 Collect the terms in 546 - 264 - 282 + 23815*x. 23815*x Collect the terms in 8242 - 17016 - 3*u**3 - 15679 - 729. -3*u**3 - 25182 Collect the terms in 5315562882 + 5*u**2 - 5315562877 - 3*u**2. 2*u**2 + 5 Collect the terms in -c**3 - 23104 - 4*c + 2*c**3 - c + 3*c. c**3 - 2*c - 23104 Collect the terms in 9 - 9 - 1716269*h. -1716269*h Collect the terms in -25*t - 17812*t**3 - 48701*t**3 + 25*t + 3952*t**3. -62561*t**3 Collect the terms in -s - 7*s**2 + 0*s - 94296*s**3 + 6*s**2. -94296*s**3 - s**2 - s Collect the terms in -272827 + 5*j**2 - 272830 + 545657 + 0*j**2 - 17*j**3 - 5*j**2. -17*j**3 Collect the terms in -278226*n + 2*n**2 + 3*n**2 - 4*n**2 + 278204*n - 7*n**2. -6*n**2 - 22*n Collect the terms in -92*j**2 + 8 - 6 + 4*j - 703*j**2 - 460*j**2 + 5*j. -1255*j**2 + 9*j + 2 Collect the terms in -2705*g + 746 + 2854*g - 757. 149*g - 11 Collect the terms in -4078*d - 11843*d - 5330*d. -21251*d Collect the terms in -101 + 8*c**2 - 122 + 40 - 10*c**2 + 8*c. -2*c**2 + 8*c - 183 Collect the terms in -30078 - 30172 + 90421 - 30173 - 9*b. -9*b - 2 Collect the terms in 938048*k**2 + 254 - 254. 938048*k**2 Collect the terms in 1320*v**2 + 1634*v**2 - 4969*v**2 + 1783*v**2 + 930*v**2 + 1676*v**2. 2374*v**2 Collect the terms in -15*d**3 - 27399 + 183*d**3 + 27404 + 75*d**3. 243*d**3 + 5 Collect the terms in 559*k**3 - 138*k**3 + 177*k**2 - 135*k**3 - 145*k**3 - 152*k**3. -11*k**3 + 177*k**2 Collect the terms in 21*a**3 + 12*a**3 - 31*a**3 + 649440*a**2 - 649440*a**2. 2*a**3 Collect the terms in 20 - 79587*w - 15 + 21. -79587*w + 26 Collect the terms in -92 - 279 + 2072 + 7309 - 2*k. -2*k + 9010 Collect the terms in 1043*t**2 + 244*t + 87*t - 1046*t**2 - 331*t. -3*t**2 Collect the terms in -3839767*k - 3839768*k + 7679531*k. -4*k Collect the terms in -19707*h**2 - 19512*h**2 + 39221*h**2. 2*h**2 Collect the terms in 70223*b**2 - 23660*b**2 - 23650*b**2 - 22916*b**2. -3*b**2 Collect the terms in 72*a**2 + 150*a**2 - 20467*a + 20467*a. 222*a**2 Collect the terms in -10795 - 18624*o**2 + 10795 + 40361*o**2 + 23742*o**2. 45479*o**2 Collect the terms in -327*z**2 + 195*z**2 + z + 117*z**2 + 94*z**2. 79*z**2 + z Collect the terms in -15092*d**3 - 9024*d**3 + 1580*d**3 - 5941*d**3. -28477*d**3 Collect the terms in 17142*z - 69801*z + 18369*z + 17142*z + 17144*z. -4*z Collect the terms in -27003 - 26993 - 26991 + 80987 - 44*k**3 + 1156*k**3. 1112*k**3 Collect the terms in 29*w**3 - 12*w**3 + 19*w + 44*w**2 - 13*w**3. 4*w**3 + 44*w**2 + 19*w Collect the terms in -696758*x**3 - 696765*x**3 - 696700*x**3 + 2090289*x**3. 66*x**3 Collect the terms in -27847*b + 26882*b - 20 - 22 + 42. -965*b Collect the terms in 15680*u**3 + 172986*u**3 - 23170*u**3. 165496*u**3 Collect the terms in 171*z + 134*z**2 - 171*z + 3*z. 134*z**2 + 3*z Collect the terms in -40*u + 12*u - 6*u - 13*u + 17*u. -30*u Collect the terms in -2*v**3 + 895755 - 298566 - 298627 - 298562. -2*v**3 Collect the terms in -23107*m**2 - m - 256499*m**2 - m - 128691*m**2. -408297*m**2 - 2*m Collect the terms in 2780*r**3 + 4*r - 2757*r**3 - 5*r + r + 30530 - 30530. 23*r**3 Collect the terms in -3*z - 25*z + 10 - 179*z + 47*z - 10. -160*z Collect the terms in 23*y - 2*y**2 + 3*y**2 - 103 + 0*y**2 + 4*y**2 - 26*y. 5*y**2 - 3*y - 103 Collect the terms in -1117 - 1121 + 3559 - 1321 - 14*b**2. -14*b**2 Collect the terms in 23456*d**3 + 2*d**2 + 3*d**2 - 11*d**2. 23456*d**3 - 6*d**2 Collect the terms in -215331*d**2 - d**3 + 68637*d**2 + 146694*d**2. -d**3 Collect the terms in -291*k**3 - 304*k**3 + 1210*k**3 - 330*k**3 - 287*k**3. -2*k**3 Collect the terms in -50*w + 26*w + 5*w**2 - 2291 + 24*w + 2409 - 118. 5*w**2 Collect the terms in 58*d**2 - 165*d**2 + 49*d**2 - 1644 + 57*d**2 - 2295. -d**2 - 3939 Collect the terms in 244852860*g - 244852860*g + 1 + 9*g**3. 9*g**3 + 1 Collect the terms in -3 - 1 + 2108756*h + 2108747*h - 4217504*h. -h - 4 Collect the terms in 24426*z**2 - 6 - 48846*z**2 + 24423*z**2 + 1 + 1 + 4. 3*z**2 Collect the terms in -1638334372 + 1638334372 + 11*l. 11*l Collect the terms in 202425 + 5*t**2 + 109708 + 2*t**2 - 6*t**2 + t**2. 2*t**2 + 312133 Collect the terms in 81*m**2 + 53*m**2 + 62*m**2 + 72*m**2 - 328*m**2 + 64*m**2. 4*m**2 Collect the terms in -136*m + 49*m + 104*m**2 + 43*m + 279*m**2 + 44*m - 382*m**2. m**2 Collect the terms in -40*w**3 + 40176*w - 2 - 39*w**3 + 111*w**3 - 2*w**2 - 35*w**3. -3*w**3 - 2*w**2 + 40176*w - 2 Collect the terms in 14675 + 8*z - 5*z - 29877 + 18*z + 15202. 21*z Collect the terms in 3*h + 60115 + 127273 + 85153 + 161716 - 56785. 3*h + 377472 Collect the terms in -12364755941 + 12364755941 - 3*y. -3*y Collect the terms in -81 + 247 - 80 + 1826*w**3 - 85 + 10*w. 1826*w**3 + 10*w + 1 Collect the terms in -7717*a + 8*a**2 + 3824*a + 3837*a. 8*a**2 - 56*a Collect the terms in 16586*f**2 + 16489*f**2 - 32974*f**2 - 2. 101*f**2 - 2 Collect the terms in 7*a - 12128*a**3 + 6060*a**3 - 58*a + 6067*a**3. -a**3 - 51*a Collect the terms in 34*r**2 + 45340984*r + 1 - 2 - 45340984*r. 34*r**2 - 1 Collect the terms in 287259 - 7*d**2 - 574790 - d**2 + 287531. -8*d**2 Collect the terms in -72*g**2 - 3*g - 29*g**2 + 151*g**2 - 306*g**2 + 2*g. -256*g**2 - g Collect the terms in 145983435*w - 17*w**2 - 145983435*w. -17*w**2 Collect the terms in -40 - 8349*t + 2781*t + 2778*t + 2788*t. -2*t - 40 Collect the terms in -4*c**2 - 1675112*c + 837573*c + 837539*c. -4*c**2 Collect the terms in 2*h**2 + 2*h + 4 + 8 - 1 - 14 + 3. 2*h**2 + 2*h Collect the terms in 14125*n**2 - 184*n + 185*n - 3892*n**2. 10233*n**2 + n Collect the terms in 4*u**2 - 991*u - 28*u + 1043*u. 4*u**2 + 24*u Collect the terms in -1457 + 40*x - 1282 + 7*x + 5662 - 1462 - 1460. 47*x + 1 Collect the terms in -2*h + 279 - 102 - 101 - 3*h - 99 + 4*h. -h - 23 Collect the terms in 65139566*r**2 - 65139566*r**2 + 343*r**3 - 868*r**3. -525*r**3 Collect the terms in 29*n**2 - 275*n**2 + 183*n**2 + 370*n**2 + 619*n**2. 926*n**2 Collect the terms in 18 - 54*u**
{ "pile_set_name": "DM Mathematics" }
0)/(-135)). 15 Calculate (4/63)/((10528/168)/47). 1/21 What is ((-2568)/(-176) + -15)/(9/(-24))? 12/11 Calculate 5/194*(-280)/(-350). 2/97 ((-26)/(-78))/(5/(-225)) -15 1*(6/10 + (-2544)/265) -9 Calculate (969/(-38))/(-51) - (-123)/(-234). -1/39 What is the value of 8/(-4) - -2*9/18? -1 Evaluate -4*12/(26 + -2). -2 What is the value of 1/(-5)*-30*2/(-48)? -1/4 What is the value of ((-21)/49)/((-7)/(-4) + -2)? 12/7 What is the value of 488 + -485 + (-17)/5? -2/5 What is 0 + (65/8 - (-126)/(-1008))? 8 What is the value of (-126)/(-10) - 924/(-2310)? 13 Evaluate 6/(-10) + 4/140*-14. -1 (7/(-35))/(((-5)/(-75))/1) -3 Calculate -24*27/(-288) - (-105)/(-48). 1/16 What is (-25)/35 - (-3)/21*138 - 0? 19 Calculate 324/(-885) + 416/(-12272). -2/5 Calculate 2/(-2) + -1*(-29 + 21). 7 What is (-108)/15 + -4 + 15 + -6 + 1? -6/5 Evaluate (-2*2/20)/((-171)/(-27) + -6). -3/5 What is (1 - (-8 + 5)) + (-15 - 0)? -11 Evaluate 498/747 - 10/12. -1/6 What is the value of 15/10*((-62)/3 - -18)? -4 18/((-42)/(-189)*45) 9/5 What is ((-30)/4)/(381/508*(-8)/(-12))? -15 Calculate (-5 - 9)*(34 - 33). -14 ((-18)/15)/(96/(-60)) 3/4 Calculate (-1)/(25/(-198)) + (20/5 - 12). -2/25 What is ((3 - (-122)/(-44)) + 0)*104/(-130)? -2/11 What is (-2*2/12)/(-11 + (-266)/(-24))? -4 24/(-72) - ((-27)/(-45) - 184/390) -6/13 0/143 - 2*6 - -2 -10 (-35 - 0)*(888/(-40))/37 21 Calculate (((-876)/180)/73)/(2 + 17/(-10)). -2/9 What is 1/3 + (1971/4599)/(3/(-14))? -5/3 Evaluate -4 - ((-894)/(-60) - 16)*2. -9/5 What is the value of (-35 - (-1696)/48)/(3 - 4)? -1/3 Evaluate (-3)/15 - (295/525 - (-14)/(-21)). -2/21 Evaluate 7046/(-1084)*2/1. -13 What is the value of 10*(-13)/208*8/(-20)? 1/4 (-1)/(-3) - ((-4)/(-12))/(12/44) -8/9 Calculate ((-3)/(-36))/((-9)/(-24)). 2/9 What is the value of (-117044)/(-19171) - (-1 + 8 + -1)? 2/19 (-23902)/(-1887) - -4*(2 - (-26)/(-12)) 12 What is the value of (-3775)/4530 - 1*(-6)/8? -1/12 Calculate (-96)/36*(-60)/16. 10 What is the value of -1*1*(5 - (-72)/(54/(-3)))? -1 Calculate (25 - (26 - 19)) + -28. -10 Calculate 1*14*(-4)/48*(-1392)/2436. 2/3 (1 - (-21 + (-10536)/(-480)))*45/2 9/8 What is (-738)/(-574) - (-20)/28? 2 What is the value of ((-3)/27)/(3077/171 - 18)? 19 Calculate 8/(896/(-308))*8. -22 What is the value of (-10 - (1727/(-99) - -8))/((-2)/(-6))? -5/3 273/1071*17 - 4 1/3 What is the value of (7/16)/(175/2800)? 7 Calculate ((-150)/(-350))/(7 - 679/98). 6 Calculate (-2 + -3 + -1 + (24 - 17))*3. 3 Evaluate (1/(-3))/((-5)/(-270)) - -6. -12 1805/3325 - ((-30)/(-14) + -2) 2/5 What is (344/559)/((-120)/(-156))? 4/5 Calculate ((-66)/88)/(15/16). -4/5 Calculate 17 + 3728/(-144) - -9. 1/9 Evaluate 1*(-12 - -7) + 20/2 + -2. 3 Calculate (19*(-660)/(-2926))/((-6)/28). -20 Calculate 1*(-1 + -6)*(4/(-1) + 6). -14 What is the value of (2/(2/(-1)))/(795/(-80) + 10)? -16 What is (-828)/69 + -4*39/(-6)? 14 Evaluate (-160)/(-28) + -47 + 39. -16/7 Evaluate (10/(-36) + 10/(-45))*(-160)/(-280). -2/7 What is the value of (-3)/35*-21*-5? -9 Evaluate 6*(-4)/8 + (8 - 2) - 7. -4 What is (-2 + (3 - (-2)/(-4)))/(51/153)? 3/2 What is 2 - (5 - (-11 - -9))? -5 What is 312/(-9880)*(3 - -7)*(-1 - 0)? 6/19 What is the value of 3 + (-117)/(-360)*-8? 2/5 Calculate 19/(1368/(-16)) + (-56)/126. -2/3 What is the value of 22925/1441 - 15/1? 10/11 Evaluate (5 - 148/20)/((-32)/120). 9 Calculate 600/450 - (-118)/(-84). -1/14 Calculate (12 - 11)*-41 - (20 + -37). -24 Calculate 10/6*969/475. 17/5 Evaluate -19 + 19 + 270/(-15). -18 ((-1)/4)/(2/(-8))*(16 - 5) 11 What is the value of (-8)/(-3)*(-1125)/3750? -4/5 What is the value of (6636/3081)/(2/13)? 14 (-60)/(-48) - (-165)/(-180) 1/3 What is the value of (-1863)/414*1/3? -3/2 Evaluate -3 - 19 - (95 - 119). 2 What is the value of (-214 - -210)*3/(-1032)*(-1 + -3)? -2/43 What is 6027/(-315) + 19 + 43/(-15)? -3 Calculate (-18)/(-8)*(13 - (-118)/(-6)). -15 What is (-123 - -119)/((-309)/((-25)/(-10) - 1))? 2/103 What is the value of ((-8)/18)/(99/(43659/98))? -2 ((-9)/(45/(-14)) - 2)*(-1035)/46 -18 What is 54*(-23)/(-138) - -2*(0 + 3)? 15 Evaluate (-6)/(-63) + (-825)/1386. -1/2 What is the value of (((-16)/84)/(2/(-3)))/(-2)? -1/7 What is the value of (28/12)/((-217)/93)? -1 What is ((-314)/(-270) - 1) + 14612/(-260) + 56? -1/27 What is (-1032 - -1025)/((-14)/(-24))? -12 What is (2 - -1) + 35 + -42 + 7? 3 What is the value of (-10 + -34)*(27/4 + -7)? 11 7*2/12*((-16)/28)/(-1) 2/3 4 - -1*(-140)/(-20) 11 Calculate ((4/14)/((-1685)/9436))/(3/15). -8 Evaluate ((-18)/14)/3 - 6840/(-29925). -1/5 What is the value of (7 - 2) + 8*(-14)/21? -1/3 4*-1 + -25 + 5 + 16 -8 What is ((-6660)/135)/(-74)*(-18)/1? -12 Calculate 12 + -3 - (-64 - -37). 36 What is 20/(-55)*44/(-72)? 2/9 Evaluate 32340/(-1911) - (-4)/(-52). -17 What is (5/2)/((-93)/(-279) - (-2)/(-16))? 12 Evaluate (-25)/((-589)/(-93) - 8). 15 Evaluate (0 + (-9 - -9))/((-2)/(-1)). 0 What is (2 - 527/85)*(-1 + (-5)/(-7))? 6/5 What is 9*(-188)/141 + (-356)/(-30)? -2/15 What is (2 - (-395)/(-175))*40/(-12)*1? 6/7 What is the value of ((-2)/7)/(286/462)? -6/13 Evaluate (-9177)/(-23598)*(33/14 - 2/(-4)). 10/9 (-11 + 15 + (6 - 9))/(3/27) 9 Calculate ((8569/22)/(-41))/((-2)/4). 19 What is the value of (104/13 - 498/63) + (-195)/63? -3 (-633 + 565)/(17 - 1) -17/4 What is 2 + -8 + 8 + -5 - -14? 11 Evaluate ((-88)/(-220))/(2/60). 12 What is 10/(-3)*(56/350)/((-12)/10)? 4/9 Calculate 34 - -3*13245/(-1170). 1/26 What is the value of ((-1)/3)/((-4277)/252 - -17)? -12 -6*(-12)/(-360) - 495/25 -20 What is the value of ((-3)/171*4)/(200/(-300))? 2/19 What is the value of ((-12)/8)/(10/(680/6))? -17 Calculate 222/(-370) - (-424)/440. 4/11 Evaluate (-8874)/(-7395)*(16/26 - 1). -6/13 (-253*39/(-2145))/(2/10) 23 Calculate -13*(-14)/(-182) + 3. 2 Evaluate (60/(-140))/(3/(-2)). 2/7 What is -10 - (7370/(-70))/11? -3/7 Evaluate ((-11)/(-33))/((1995/99)/5 - 4). 11 Calculate (-4)/14 + (-1284)/(-84) + 64/16. 19 What is (2/(-14)*-2)/((-151)/1057) - 14? -16 Calculate (354/(-13275))/(2/3 - (-2)/(-6)). -2/25 What is (-224878)/10802 - (0 + 6/33)? -21 ((-10)/(-1463)*11)/((20/56)/1) 4/19 Evaluate 915/(-85) + ((-3765)/(-255) - 15). -11 Evaluate ((-5 - 11) + 36)/(((-12)/(-9))/1). 15 What is the value of (-1 + -3 + -4)*((-3)/6 - 0)? 4 Evaluate (40 + 4235/(-105))/((-2)/(-12*1)). -2 What is the value of 3 + 1 - 795/53? -11 What is (-49)/((-51156)/(-72)) - (951/87 - 3)? -8 What is (4221/273 - 15) + 227/(-13)? -17 Calculate 340/24*(-740)/(-1850). 17/3 Evaluate (18/4)/((-37323)/7656). -12/13 What is the value of 28/(-42)*(-4 - -1)*(-9)/2? -9 What is 203 - 229 - (-71)/3? -7/3 What is (-5)/(-5)*-46*36/72? -23 -10 + (5980/117)/5 2/9 Calculate 8*(-910)/(-208)*10/(-10). -35 Evaluate ((-63)/294)/(4/(-16) - (-165)/84). -1/8 What is (-82)/9 + (5 - 7 - -12)? 8/9 What is the value of (-3 - (-1715)/(-147))*3/(-2)? 22 Evaluate (45 + (-84 - -15))/(1 - -2). -8 What is (6/(-4))/((-2370)/(-1264)) + (-16)/(-70)? -4/7 Calculate (-6)/(-57) + (6192/(-57))/6. -18 Evaluate 5/9 - 37723/37089. -6/13 Evaluate 11 + -12 - -7 - 136/(-72)*-4. -14/9 15/1500*205 - 2/(-10) 9/4 12/(-18)*(-171)/(-76) -3/2 What is the value of (-18)/(-4) - 39/13 - (-50)/(-4)? -11 Calculate -19 - -11 - 18/(-6)*-6. -26 -32*44/(-8448) - (0 + (-53)/6) 9 What is the value of (-29)/(783/(-90))*4/((-16)/6)? -5 Evaluate (-3646)/(-96) - (185 + -147). -1/48 (3 + 47/(-15))/(((-20)/105)/(-2)) -7/5 (66/(-6 + -5) - 24/(-2)) + -8 -2 40/(-26) + 470/(-188) + 4 -1/26 72/(-378)*(-126)/(-144) -1/6 What is the value of (-3)/4 - (111033/156)/39? -19 What is 8/(-2) + 68/(-96)*-8? 5/3 Calculate (-30)/660 + 1058/44. 24 (-1001)/(-308)*36/(-27)*(4 - 1) -13 -14 + (-24)/(-18)*9 -2 279/(-930) + (-34)/20 -2 78/416 - (-785)/80 10 Calculate -3 - (3 - -19) - -18. -7 What is the value of (-34)/18 - (-172 - -170)? 1/9 What is the value of (-13 + 7 - -6) + -9 + (-1578)/(-174)? 2/29 What is 98/(-14) - (2 + (-35)/42)*-3? -7/2 What is (-6528)/(-1280) + (-72)/15 + (-1)/5? 1/10 Calculate 114/1368*((-23)/7 + 2/7). -1/4 Calculate 14/(-294)*14*15/(-2). 5 Calculate ((-960)/175)/(-6) + 64/224. 6/5 What is the value of (-11868)/(-989) - (66/4 - 1)? -7/2 Calculate 144/69 + -2 - 49/(118335/440). -2/21 What is 2/6 - ((-19114)/(-570) - 34)? 4/5 Calculate (-492)/451 + 4740/(-132). -37 Evaluate (((-325)/330)/13)/(225/405). -3/22 Calculate 1*(-9)/(
{ "pile_set_name": "DM Mathematics" }
to the nearest integer? 16 What is 784187 to the power of 1/4, to the nearest integer? 30 What is 2246960 to the power of 1/10, to the nearest integer? 4 What is 5052958 to the power of 1/10, to the nearest integer? 5 What is the square root of 10199136 to the nearest integer? 3194 What is 677980 to the power of 1/9, to the nearest integer? 4 What is the third root of 22915716 to the nearest integer? 284 What is 11213577 to the power of 1/6, to the nearest integer? 15 What is 4896617 to the power of 1/2, to the nearest integer? 2213 What is the third root of 5523206 to the nearest integer? 177 What is 18778907 to the power of 1/2, to the nearest integer? 4333 What is the ninth root of 990922 to the nearest integer? 5 What is 4853120 to the power of 1/9, to the nearest integer? 6 What is 344391 to the power of 1/7, to the nearest integer? 6 What is the cube root of 2107039 to the nearest integer? 128 What is 725926 to the power of 1/4, to the nearest integer? 29 What is the cube root of 4926044 to the nearest integer? 170 What is the third root of 48487 to the nearest integer? 36 What is the cube root of 24358754 to the nearest integer? 290 What is 10674297 to the power of 1/2, to the nearest integer? 3267 What is 1177799 to the power of 1/2, to the nearest integer? 1085 What is the third root of 191945 to the nearest integer? 58 What is the square root of 17318794 to the nearest integer? 4162 What is 515664 to the power of 1/8, to the nearest integer? 5 What is 2137825 to the power of 1/3, to the nearest integer? 129 What is 27485223 to the power of 1/3, to the nearest integer? 302 What is the square root of 3319328 to the nearest integer? 1822 What is the third root of 191508 to the nearest integer? 58 What is 754756 to the power of 1/3, to the nearest integer? 91 What is 202237 to the power of 1/4, to the nearest integer? 21 What is the square root of 482246 to the nearest integer? 694 What is the ninth root of 6733232 to the nearest integer? 6 What is the square root of 328596 to the nearest integer? 573 What is the third root of 19805373 to the nearest integer? 271 What is 2060762 to the power of 1/9, to the nearest integer? 5 What is the cube root of 537598 to the nearest integer? 81 What is 14480235 to the power of 1/2, to the nearest integer? 3805 What is the square root of 1463627 to the nearest integer? 1210 What is 8227617 to the power of 1/2, to the nearest integer? 2868 What is 1756774 to the power of 1/3, to the nearest integer? 121 What is the cube root of 34771198 to the nearest integer? 326 What is 8006 to the power of 1/2, to the nearest integer? 89 What is 5643137 to the power of 1/2, to the nearest integer? 2376 What is 63023 to the power of 1/6, to the nearest integer? 6 What is the seventh root of 7771026 to the nearest integer? 10 What is 258905 to the power of 1/2, to the nearest integer? 509 What is the cube root of 427301 to the nearest integer? 75 What is 763381 to the power of 1/2, to the nearest integer? 874 What is the cube root of 5736715 to the nearest integer? 179 What is the eighth root of 12713863 to the nearest integer? 8 What is the square root of 4154395 to the nearest integer? 2038 What is 11850328 to the power of 1/3, to the nearest integer? 228 What is the square root of 167182 to the nearest integer? 409 What is the cube root of 50848 to the nearest integer? 37 What is the cube root of 83630 to the nearest integer? 44 What is the square root of 2565552 to the nearest integer? 1602 What is the fifth root of 5749734 to the nearest integer? 22 What is the square root of 70624 to the nearest integer? 266 What is 10109974 to the power of 1/9, to the nearest integer? 6 What is 436478 to the power of 1/8, to the nearest integer? 5 What is the third root of 30098394 to the nearest integer? 311 What is the fourth root of 956592 to the nearest integer? 31 What is the cube root of 391815 to the nearest integer? 73 What is 1089142 to the power of 1/3, to the nearest integer? 103 What is 26178544 to the power of 1/2, to the nearest integer? 5116 What is 535632 to the power of 1/2, to the nearest integer? 732 What is 2650462 to the power of 1/9, to the nearest integer? 5 What is 519824 to the power of 1/10, to the nearest integer? 4 What is the ninth root of 259566 to the nearest integer? 4 What is 36018 to the power of 1/2, to the nearest integer? 190 What is 177783 to the power of 1/2, to the nearest integer? 422 What is the fifth root of 469442 to the nearest integer? 14 What is 12074472 to the power of 1/8, to the nearest integer? 8 What is the square root of 7453280 to the nearest integer? 2730 What is the cube root of 74117 to the nearest integer? 42 What is 154739 to the power of 1/4, to the nearest integer? 20 What is the square root of 2163200 to the nearest integer? 1471 What is 31758392 to the power of 1/10, to the nearest integer? 6 What is the sixth root of 1299000 to the nearest integer? 10 What is the cube root of 17207680 to the nearest integer? 258 What is 165069 to the power of 1/8, to the nearest integer? 4 What is the third root of 1666169 to the nearest integer? 119 What is the third root of 680465 to the nearest integer? 88 What is the fourth root of 865291 to the nearest integer? 30 What is the fifth root of 659063 to the nearest integer? 15 What is 442829 to the power of 1/6, to the nearest integer? 9 What is the square root of 2920671 to the nearest integer? 1709 What is the eighth root of 2491033 to the nearest integer? 6 What is the seventh root of 20972920 to the nearest integer? 11 What is the fifth root of 1353921 to the nearest integer? 17 What is 375561 to the power of 1/7, to the nearest integer? 6 What is 180567 to the power of 1/2, to the nearest integer? 425 What is 20971786 to the power of 1/2, to the nearest integer? 4579 What is 3155806 to the power of 1/4, to the nearest integer? 42 What is the seventh root of 2835033 to the nearest integer? 8 What is 10063708 to the power of 1/5, to the nearest integer? 25 What is the sixth root of 3081362 to the nearest integer? 12 What is 618796 to the power of 1/2, to the nearest integer? 787 What is the cube root of 1220962 to the nearest integer? 107 What is the cube root of 1592849 to the nearest integer? 117 What is the square root of 3346789 to the nearest integer? 1829 What is 184160 to the power of 1/6, to the nearest integer? 8 What is 11982572 to the power of 1/2, to the nearest integer? 3462 What is the third root of 4359069 to the nearest integer? 163 What is 7437139 to the power of 1/2, to the nearest integer? 2727 What is 127630 to the power of 1/9, to the nearest integer? 4 What is 198402 to the power of 1/2, to the nearest integer? 445 What is the tenth root of 1982718 to the nearest integer? 4 What is the third root of 1860324 to the nearest integer? 123 What is 2133859 to the power of 1/2, to the nearest integer? 1461 What is 2452013 to the power of 1/9, to the nearest integer? 5 What is 478340 to the power of 1/3, to the nearest integer? 78 What is 9980673 to the power of 1/2, to the nearest integer? 3159 What is 607593 to the power of 1/2, to the nearest integer? 779 What is the square root of 5884821 to the nearest integer? 2426 What is the cube root of 49485 to the nearest integer? 37 What is 260375 to the power of 1/4, to the nearest integer? 23 What is the third root of 222377 to the nearest integer? 61 What is the square root of 6198846 to the nearest integer? 2490 What is 1867152 to the power of 1/5, to the nearest integer? 18 What is the third root of 17953924 to the nearest integer? 262 What is the square root of 6505397 to the nearest integer? 2551 What is 16822598 to the power of 1/3, to the nearest integer? 256 What is the cube root of 5860177 to the nearest integer? 180 What is the third root of 10585610 to the nearest integer? 220 What is 3247917 to the power of 1/7, to the nearest integer? 9 What is 1320128 to the power of 1/2, to the nearest integer? 1149 What is 591643 to the power of 1/3, to the nearest integer? 84 What is the cube root of 26365458 to the nearest integer? 298 What is the eighth root of 243863 to the nearest integer? 5 What is 397633 to the power of 1/3, to the nearest integer? 74 Wha
{ "pile_set_name": "DM Mathematics" }
acement from {g: 4, m: 1, c: 2, y: 2, v: 2, n: 6}. 1/595 Calculate prob of picking 3 m and 1 c when four letters picked without replacement from {m: 13, c: 6}. 143/323 What is prob of picking 3 c and 1 z when four letters picked without replacement from {c: 7, z: 1, w: 6}? 5/143 What is prob of picking 2 v when two letters picked without replacement from {v: 3, m: 7}? 1/15 Two letters picked without replacement from {d: 1, y: 1, s: 10, l: 3}. Give prob of picking 1 d and 1 l. 1/35 Calculate prob of picking 2 p and 1 s when three letters picked without replacement from {e: 1, m: 1, k: 1, s: 1, x: 5, p: 3}. 3/220 Calculate prob of picking 2 a when two letters picked without replacement from {e: 2, h: 2, a: 1, x: 4}. 0 What is prob of picking 1 k and 1 n when two letters picked without replacement from kkknnknknknnnknkknnn? 99/190 What is prob of picking 3 y and 1 w when four letters picked without replacement from dqsbqqyybyyyqwyq? 1/91 Calculate prob of picking 2 i and 1 n when three letters picked without replacement from iiniiiiiintiniiiniin. 91/228 Four letters picked without replacement from {j: 5, a: 2, i: 2}. Give prob of picking 3 j and 1 i. 10/63 Three letters picked without replacement from sssxssxssssxssss. Give prob of picking 3 x. 1/560 What is prob of picking 1 m, 1 c, and 1 l when three letters picked without replacement from {b: 1, l: 1, m: 1, c: 1, j: 1}? 1/10 Two letters picked without replacement from {k: 1, t: 1, a: 2, d: 1, u: 1, y: 1}. What is prob of picking 2 a? 1/21 Three letters picked without replacement from ybgyyyygbbyggbyy. What is prob of picking 1 g and 2 y? 1/5 Calculate prob of picking 1 d, 1 u, 1 m, and 1 q when four letters picked without replacement from {d: 1, u: 3, c: 2, b: 2, q: 2, m: 2}. 4/165 Calculate prob of picking 1 z, 1 o, and 2 g when four letters picked without replacement from {z: 1, m: 1, d: 2, o: 1, g: 4}. 1/21 Three letters picked without replacement from uaabafufa. Give prob of picking 2 b and 1 a. 0 Two letters picked without replacement from {v: 7, z: 1, d: 5, f: 3}. What is prob of picking 1 f and 1 z? 1/40 Two letters picked without replacement from vvvccccghvggcccvchg. Give prob of picking 1 h and 1 v. 10/171 Four letters picked without replacement from wsssw. Give prob of picking 2 w and 2 s. 3/5 Calculate prob of picking 2 e and 1 o when three letters picked without replacement from yehwdeo. 1/35 Four letters picked without replacement from bwwwbwwwbwww. Give prob of picking 2 b and 2 w. 12/55 Two letters picked without replacement from xjjxxjjyxxxyxyxj. Give prob of picking 2 x. 7/30 Three letters picked without replacement from {b: 5, r: 7, t: 3, f: 2, h: 1}. What is prob of picking 1 f and 2 t? 1/136 Two letters picked without replacement from {r: 8, j: 2}. What is prob of picking 2 r? 28/45 Calculate prob of picking 2 c and 2 i when four letters picked without replacement from iqoiiiiccccccci. 3/13 What is prob of picking 1 v, 1 h, and 1 p when three letters picked without replacement from hpzzv? 1/10 What is prob of picking 1 g and 1 a when two letters picked without replacement from gjjgyjxgyjggygjaj? 3/68 Three letters picked without replacement from yyaaaaayayyaaaayaa. Give prob of picking 2 y and 1 a. 15/68 Calculate prob of picking 3 k when three letters picked without replacement from {s: 5, k: 13}. 143/408 Three letters picked without replacement from etkbkkkhtkhh. What is prob of picking 2 k and 1 t? 1/11 Two letters picked without replacement from {d: 1, k: 3, g: 1, r: 10, h: 3, p: 1}. Give prob of picking 2 r. 5/19 Calculate prob of picking 1 m and 1 c when two letters picked without replacement from {d: 1, x: 1, h: 1, l: 2, c: 2, m: 1}. 1/14 Two letters picked without replacement from {s: 1, o: 3, n: 2, w: 4}. Give prob of picking 1 w and 1 n. 8/45 Two letters picked without replacement from hhhhhhvhhhhhhhhhhh. Give prob of picking 2 h. 8/9 Calculate prob of picking 3 q and 1 m when four letters picked without replacement from {m: 1, c: 2, z: 7, q: 4}. 4/1001 Calculate prob of picking 1 h and 2 u when three letters picked without replacement from wwhuh. 0 What is prob of picking 3 m and 1 r when four letters picked without replacement from {m: 16, r: 4}? 448/969 Calculate prob of picking 1 r and 2 t when three letters picked without replacement from tttxttttrttjr. 36/143 Calculate prob of picking 2 f and 2 q when four letters picked without replacement from qffffqefcecefqe. 3/91 What is prob of picking 1 d and 1 j when two letters picked without replacement from kjkdqwkdwkkdjjddkd? 2/17 Three letters picked without replacement from hhawhhhhhlwlqwalha. What is prob of picking 1 w, 1 h, and 1 q? 1/34 Four letters picked without replacement from {m: 11, c: 5}. What is prob of picking 2 c and 2 m? 55/182 Four letters picked without replacement from {i: 13, c: 3}. Give prob of picking 1 c and 3 i. 33/70 Four letters picked without replacement from {a: 4, n: 3, s: 4}. What is prob of picking 4 s? 1/330 Four letters picked without replacement from {u: 1, x: 2, r: 5, j: 3, d: 5}. What is prob of picking 3 j and 1 r? 1/364 Calculate prob of picking 1 q, 1 z, and 2 b when four letters picked without replacement from {q: 2, a: 1, z: 2, b: 4, i: 1, p: 2}. 8/165 What is prob of picking 2 u when two letters picked without replacement from ppuu? 1/6 What is prob of picking 2 i and 1 o when three letters picked without replacement from dddoiccocioocd? 1/91 Three letters picked without replacement from eeeaeeeeeeeeeeeeeeee. Give prob of picking 3 e. 17/20 What is prob of picking 2 t when two letters picked without replacement from {i: 7, t: 6, r: 1}? 15/91 Two letters picked without replacement from lkxtkqtllkllttxkll. Give prob of picking 2 k. 2/51 Three letters picked without replacement from ccccccc. What is prob of picking 3 c? 1 What is prob of picking 1 o and 3 i when four letters picked without replacement from tiddddiddtididitio? 1/153 Two letters picked without replacement from {p: 4}. Give prob of picking 2 p. 1 What is prob of picking 1 l, 1 e, and 1 u when three letters picked without replacement from iuyiyyyleiyey? 1/143 Two letters picked without replacement from {u: 1, j: 3, w: 2, v: 4, b: 1}. What is prob of picking 1 v and 1 u? 4/55 What is prob of picking 1 c and 2 v when three letters picked without replacement from cccvcvvvcvvcc? 105/286 Two letters picked without replacement from {i: 2, z: 2, g: 1, y: 3, m: 4, e: 2}. Give prob of picking 1 z and 1 i. 4/91 What is prob of picking 1 v and 1 h when two letters picked without replacement from {y: 6, v: 4, h: 2, q: 4, a: 1}? 1/17 What is prob of picking 3 r when three letters picked without replacement from {r: 3, y: 8}? 1/165 Calculate prob of picking 3 u when three letters picked without replacement from llbccuulfuc. 1/165 Four letters picked without replacement from jjtjtjjjjtjtjj. What is prob of picking 3 j and 1 t? 480/1001 Three letters picked without replacement from nywnsywd. Give prob of picking 1 n, 1 w, and 1 d. 1/14 What is prob of picking 3 y when three letters picked without replacement from qqqqqqyyqqqyyq? 1/91 What is prob of picking 1 q and 1 w when two letters picked without replacement from mqzwm? 1/10 Two letters picked without replacement from {r: 2, x: 2, m: 6, o: 1, s: 1}. Give prob of picking 1 m and 1 r. 2/11 Calculate prob of picking 2 l when two letters picked without replacement from {v: 4, l: 10}. 45/91 Two letters picked without replacement from {m: 1, f: 1, g: 1, p: 1, y: 1}. What is prob of picking 1 p and 1 y? 1/10 Calculate prob of picking 2 t when two letters picked without replacement from zttttzztttmtz. 14/39 Two letters picked without replacement from {d: 1, o: 2, h: 1, f: 1, l: 1, b: 1}. Give prob of picking 1 d and 1 h. 1/21 Four letters picked without replacement from gwzwzzzg. What is prob of picking 1 w and 3 z? 4/35 Three letters picked without replacement from fgtgtgttggf. Give prob of picking 1 t and 2 f. 4/165 Calculate prob of picking 3 d when three letters picked without replacement from {c: 3, d: 5, a: 4}. 1/22 What is prob of picking 1 v and 2 w when three letters picked without replacement from wvwvvvcwv? 5/28 Calculate prob of picking 2 v when two letters picked
{ "pile_set_name": "DM Mathematics" }
-35901 Is 1328/291 < 4? False Is -5/476537 less than or equal to 0? True Which is bigger: -464707 or 0? 0 Is 0.05 equal to 577/15? False Is 90046 > 90043? True Which is bigger: 1 or 4322? 4322 Which is smaller: 6803 or -26? -26 Which is bigger: 6 or -5714/7? 6 Which is smaller: 1 or -2/21337? -2/21337 Which is greater: -24870 or -24767? -24767 Which is greater: 1 or -816465? 1 Which is smaller: 21/125 or -1? -1 Is 248 at most as big as 38? False Which is smaller: -5215 or 3? -5215 Is 7285/112 greater than or equal to 64? True Which is greater: -29468 or -2/7? -2/7 Are -226054 and -226056 unequal? True Which is bigger: 232979 or 1630858/7? 1630858/7 Which is smaller: -310094/7 or -44300? -44300 Which is greater: 3.73 or 4920? 4920 Is -38645 at most as big as -38685? False Which is smaller: -1/22 or 1/2714? -1/22 Are 97/470 and -1 equal? False Which is smaller: 1 or 7/16472? 7/16472 Is 196347/2 less than 98173? False Which is smaller: -405076 or -405078? -405078 Which is greater: 0 or -18/24047? 0 Which is smaller: -29 or -11640/413? -29 Which is bigger: -9/10228 or 1? 1 Which is smaller: -1 or -18/8803? -1 Is -0.17 at least as big as 14311? False Which is greater: 805440 or -0.05? 805440 Which is bigger: -1 or 3836? 3836 Which is smaller: 82 or 116? 82 Are -88653 and -0.1 nonequal? True Do -6 and 25075 have different values? True Which is smaller: 266.2 or 2/13? 2/13 Is 10491 at most as big as 104903/10? False Do 3.6084 and 0.074 have the same value? False Which is smaller: 287071 or 0? 0 Is 121320/13 smaller than 9331? False Is 0.056338 equal to -2? False Which is bigger: -475 or -143? -143 Is -972969 <= -972967? True Which is bigger: 222/761 or 0? 222/761 Is -250066 at least -250066? True Which is bigger: -7267 or -7330? -7267 Are -20/13927 and 1 equal? False Which is smaller: -1353.38 or 3? -1353.38 Which is smaller: -54353 or -54356? -54356 Which is bigger: -5 or -19603? -5 Which is smaller: -39216/5 or 1? -39216/5 Which is greater: 245580 or -3/13? 245580 Which is greater: -0.01263 or 10? 10 Is -15267 < -15269? False Which is smaller: 2804 or -15? -15 Which is bigger: -43/963 or -1? -43/963 Which is smaller: 1 or 148/8929? 148/8929 Which is bigger: -0.2087 or -4/13? -0.2087 Which is smaller: -664101/14 or -47436? -47436 Is 4/2341 at most as big as 9? True Is -0.5 > -2/20785? False Which is smaller: -134603 or -134602? -134603 Is -5347 at most as big as -5354? False Which is smaller: -314018 or -314022? -314022 Which is greater: 344856 or 344858? 344858 Which is smaller: 128 or 0.02472? 0.02472 Are -5620/7 and -803 non-equal? True Do -998 and 86 have different values? True Is 60479 greater than or equal to 60480? False Which is smaller: -1247071 or -1247072? -1247072 Is 371/115 >= 3? True Which is bigger: 209 or 34104/163? 34104/163 Which is smaller: 3040 or 3057? 3040 Is -693 != -685? True Which is smaller: 1072/1337 or 0? 0 Is 1798 greater than 1896? False Is 6963128 at least 6963129? False Which is bigger: -3517/297 or -12? -3517/297 Which is smaller: 162233 or 1? 1 Do 4/7 and 3226 have the same value? False Which is smaller: -15329 or -61319/4? -61319/4 Is 30 bigger than 1232/43? True Are -1 and -1/119515 unequal? True Do -254235 and -254237 have the same value? False Is 12/3157 greater than 0? True Is -86727 > -3/19? False Do -9 and 5950 have the same value? False Is -7/4 less than -0.04381? True Which is smaller: -36/7 or 50.5? -36/7 Which is smaller: 0.1 or 709.31? 0.1 Which is smaller: -1 or 8/39677? -1 Which is bigger: -5/139296 or 1? 1 Which is smaller: -693/3407 or 1? -693/3407 Which is smaller: 4506 or 4509? 4506 Is -6488738 at most as big as -6488737? True Is 239 less than 3506? True Is -2 at least -491/334? False Is 67320 < 67319? False Which is smaller: -76.42 or 152? -76.42 Which is smaller: 400793 or 0? 0 Does 1 = 332/261? False Is -788815 >= -788816? True Which is bigger: 3455 or 141692/41? 141692/41 Does -0.036902 = -5? False Is -0.1 != -75/4423? True Does 0.273 = -109? False Is -14/11 greater than -481? True Which is bigger: -3/21376 or -1? -3/21376 Which is smaller: -158 or -441? -441 Which is greater: 1/440067 or -1? 1/440067 Do -23 and -3/586 have the same value? False Is -405854 greater than -405857? True Which is smaller: -102252 or -102251? -102252 Which is smaller: -99/769 or -1? -1 Which is smaller: -47 or -14588/311? -47 Is -43990 <= -43989? True Is 5474 at least as big as 5458? True Is 3 smaller than 0.01971? False Which is smaller: 1.0303 or -129? -129 Which is bigger: 3/3813347 or 0? 3/3813347 Is -19/14 at most 1.18? True Which is greater: 8/12465 or -1? 8/12465 Is 696 at most 88548/127? True Is -0.04 at least -362/1433? True Which is smaller: 0 or -1/3772677? -1/3772677 Which is greater: 1345 or 25531/19? 1345 Is 4676 at least as big as 22/9? True Is 502/3 equal to -19? False Which is greater: 8561 or 8531? 8561 Is -353055/11 at least -32095? False Which is smaller: 0.1627 or 4? 0.1627 Is -6/723979 greater than 0? False Are 3565/7 and 508 unequal? True Is 25865/13 less than or equal to 1989? False Does -3/36961 = -1? False Is 41485 less than 41485? False Is 129906 <= -4? False Which is smaller: 2/49363 or -0.4? -0.4 Is 34 less than or equal to 24527/734? False Is -0.1 at most 337718? True Is 1 >= -5/3066? True Is 36/15661 less than -1? False Which is smaller: -14/7365 or 1? -14/7365 Which is bigger: -11 or -5458? -11 Which is smaller: -5897/1466 or -5? -5 Is -239/55509 at most 1? True Which is smaller: -3801 or -136831/36? -3801 Is -1 bigger than -631855? True Is 389422 bigger than 389422? False Which is bigger: 8/142321 or 0? 8/142321 Which is smaller: -3578/115 or -30? -3578/115 Is 26158 less than or equal to 26158? True Does -1 = 1/16810995? False Is 52.958 greater than or equal to -45? True Which is bigger: 68 or -3.146? 68 Which is bigger: 1/1336457 or 0? 1/1336457 Is 6.24 at least 28? False Which is bigger: -0.0444058 or 1? 1 Is -143351 at most -143350? True Which is greater: -19.7107 or -0.1? -0.1 Which is bigger: 26504 or 26505? 26505 Which is smaller: 3823 or 3825? 3823 Is 3574 less than 3565? False Which is bigger: -122326 or -122324? -122324 Do -6576 and -283 have different values? True Are 581804 and 581803 equal? False Is 21995 greater than 21994? True Which is smaller: 3/50872 or 1? 3/50872 Is 50135 less than or equal to 50130? False Are -0.004124 and -2/3 nonequal? True Which is smaller: 270/8971 or 0? 0 Is -465 greater than or equal to 121? False Which is greater: 1 or -3175? 1 Which is bigger: 0 or 6/37571? 6/37571 Which is smaller: -1/116192 or 1/4? -1/116192 Is -15 greater than -2796/205? False Is 1/1394913 equal to 0? False Is -31 < 232? True Is -1956/91 smaller than -20? True Is 15.6869 at least 0? True Is -135202 greater than -0.1? False Which is smaller: 5 or -81086? -81086 Is 3.2606 >= -0.04? True Which is smaller: -347/9323 or 0? -347/9323 Is 0 not equal to 4490084? True Which is greater: 5348 or 144398/27? 144398/27 Which is bigger: 134662 or 6? 134662 Is -14537 equal to -14536? False Which is smaller: -611/1506 or 0? -611/1506 Is 0 != 2/967799? True Is 87 greater than or equal to 14765/169? False Is 10 at least as big as 344/15? False Does 564/15989 = 0? False Are 1198/49 and 0.11 non-equal? True Is -2495 at most -2893? False Which is smaller: 179/44 or 0.15? 0.15 Is -1/2 equal to -285739? False Is 3/78227 at least as big as -1? True Which is bigger: 1/2792911 or 1? 1 Do 1 and 15/64783 have different values? True Is -2364 >= -2377? True Which is smaller: 8.8165 or -2/5? -2/5 Which is greater: -27943 or -27958? -27943 Which is smaller: 121/7387 or 1? 121/7387 Does 2/204975 = 0? False Which is greater: 3 or 16/5675? 3 Which is greater: 1 or 289/271? 289/271 Are 3457868/5 and 691575 equal? False Which is smaller: -0.614 or 6? -0.614 Is 805/76 <= 10? False Which is smaller: 1.48 or -0.037928? -0.037928 Which is smaller: 681 or -17? -17 Is 177797 >= 177797? True Is -497 > 13/218? False Is -3 greater than -1115431? True Is 972487/9 smaller than 108055? True Which is bigger: -3/1973 or -10? -3/1973 Does 1310728 = 1310728? True Does 514792 = 514794? False Is 11 smaller than -1/31430? False Which is smaller: -2906 or -770? -2906 Which is bigger: 14 or -2.8047? 14 Is 61558/5 less than o
{ "pile_set_name": "DM Mathematics" }
21 and k. 33 Let n(l) = -6*l**2 - 101*l + 60. Let y be n(-16). What is the highest common factor of 1456 and y? 28 Let f(r) = 41 - 14 + 0*r**2 - r**2. Let j be f(-5). What is the greatest common divisor of 2 and j? 2 Let j(x) = -102*x - 3. Let m be j(-5). Suppose 0*n - 3*n = 15, -2*h = -5*n + m. Let r = -156 - h. What is the highest common factor of 10 and r? 10 Let g be ((-321160)/192)/(-31) - 6/(-144). Let o = -295 + 547. What is the highest common factor of g and o? 18 Let x = -5705 + 6035. Calculate the highest common divisor of x and 2265. 15 Suppose -6*g = -4*g + 6, 2*g = v - 186. What is the highest common divisor of v and 265? 5 Let w(k) = -k + 10. Let f be w(3). Let t(u) = -8624 + 16*u + 8625 - u**2 + 6*u**2 - u**3. Let z be t(f). What is the highest common factor of z and 6? 3 Let z(m) = 893*m**2 + 476*m - 1436. Let p be z(3). What is the greatest common divisor of 14 and p? 7 Let l be (334/24 - 14) + 165266*3/72. What is the highest common divisor of l and 22? 22 Suppose 11*j - 2557 = -2425. What is the greatest common factor of 12 and j? 12 Let f(j) = j**3 - j**2 + 182. Suppose 0 = -0*t - 6*t. Let d be f(t). Suppose x + d = 2*x. Calculate the highest common divisor of x and 26. 26 Suppose -4*d = 5*n - 57, -15 = -2*d - 4*n + 9. Let y be ((-12)/5)/(27/180). Let z = d + y. Calculate the greatest common divisor of z and 18. 2 Suppose 8*f - 2219 + 1739 = 0. Calculate the highest common divisor of 1044 and f. 12 Let x be -134*(-1 + 2 + -5). Suppose 351 = -5*w + 10*w + 4*u, -5*u - 248 = -4*w. What is the greatest common divisor of w and x? 67 Let f = 42493 - 42434. Calculate the highest common factor of 6726 and f. 59 Let z be ((1/4)/(3/(-102)))/((-10)/120). Calculate the greatest common factor of z and 18. 6 Let m be 50/30 - 148/(-3). Suppose 2*u + 5*k = 24, 5*u - 3*k + 28 = 7*u. Calculate the highest common divisor of u and m. 17 Let f be -3*(-3)/18*0. Suppose 4*z = 4 - f. Let m be (-546)/(5 + -31) - (-1)/(2/(-16)). Calculate the greatest common divisor of m and z. 1 Let r(a) be the third derivative of a**6/120 + 3*a**5/20 + 7*a**4/12 + 5*a**3/3 + 289*a**2. Let z be r(-5). Calculate the highest common factor of z and 56. 8 Let m = -24 + 34. Suppose 5*s + m = 75. Let y be 6870/60 + 1/(0 - 2) - -3. Calculate the highest common divisor of y and s. 13 Let w be 0 + 7 - (-9 + 7). Let u(a) = 140*a + 1446. Let f be u(-3). Calculate the highest common divisor of f and w. 9 Let t(z) = -z**2 - 13*z - 13. Let n be ((-1)/2)/((-5)/20). Suppose 0 = -n*q - 0*q - 22. Let j be t(q). Calculate the greatest common factor of j and 81. 9 Let z = -287 + 708. Let h = z + -241. Calculate the highest common factor of 20 and h. 20 Suppose 26*q + 2*k - 6048 = 23*q, -5*k + 6048 = 3*q. Calculate the highest common factor of q and 63. 63 Let v = 19949 - 13151. Suppose 0*t + d - v = -4*t, -2*d = 4. Calculate the highest common factor of 100 and t. 100 Let v(c) = c**3 + 31*c**2 - 36*c + 59. Let m = 102 - 134. Let t be v(m). What is the highest common factor of 17 and t? 17 Suppose -22*v + 17*v = -2940. Let h be 1*(-4)/6*18/(-1). What is the highest common factor of v and h? 12 Let p be (-9826)/(-28) - (-6)/84. Calculate the highest common divisor of 1287 and p. 117 Let i be ((-114)/10)/((-90)/(-225))*-2. Calculate the highest common factor of i and 475. 19 Let c = -63 + 43. Let v = c - -8. Let d be 93*(8/v - -1). What is the greatest common factor of 31 and d? 31 Suppose j + 4*g - 301 = -83, 4*j - 4*g = 912. Let z = 436 - j. Calculate the highest common divisor of 84 and z. 42 Let q = 500 - 447. Calculate the highest common divisor of q and 13621. 53 Let j(y) = -y**3 - 2*y**2 - 2*y + 550. Let a be j(0). What is the greatest common factor of 374 and a? 22 Suppose -6*z + 55 = -239. Suppose 4*x - 133 = -z. Let c(j) = -2*j**3 - 7*j**2 + 3*j + 3. Let l be c(-5). What is the highest common divisor of x and l? 21 Suppose 0 = 5*u - 66 + 21. Suppose -40 - 32 = -u*r. Let v = r - -2. Calculate the greatest common divisor of v and 70. 10 Let p be (9672/21)/1 - (-1236)/(-2163). Calculate the greatest common divisor of p and 110. 10 Let i be 45/12 + (-2)/(-8). Suppose 5*h - 21 = i*h. Suppose 4*j + h = 61. Calculate the highest common divisor of j and 70. 10 Let n be (-22 - -3)/(5/(-25)). Suppose -n = -2*f - 7. Let b = f - -37. What is the greatest common divisor of 9 and b? 9 Let z(d) = -4*d**2 - 115*d - 38. Let u be z(-28). Calculate the greatest common factor of u and 6946. 46 Let g = -16906 + 18661. What is the highest common divisor of 9126 and g? 351 Suppose -35 = -3*c + 5*u - 3*u, -u - 56 = -5*c. Let k(n) = -2*n - 7. Let r be k(3). Let v = c - r. What is the highest common divisor of v and 36? 12 Let f be 4*((-1404)/(-24) - 11)*9/6. What is the highest common factor of 4465 and f? 95 Let r = 46 + -54. Let d be (-114194)/8 + (5 - (-38)/r). Let y be d/(-81) + (-2)/9. Calculate the greatest common factor of 22 and y. 22 Let i(c) = 2*c + 26. Let k be (-4)/6*-1*(-126)/7. Let u be i(k). Calculate the greatest common factor of u and 34. 2 Let p = -194 + 299. Suppose 0 = -3*m - 3*k + 315, -15*m - 5*k + p = -14*m. Calculate the highest common divisor of m and 30. 15 Let w be 27/((-234)/36 - (-7)/1). Suppose 0*o = o - 90. What is the highest common factor of w and o? 18 Let q = 12666 + -10322. Calculate the highest common divisor of q and 24. 8 Let s be (-100)/92 + 1 + -1735*3/(-345). Calculate the highest common factor of 9210 and s. 15 Let m = 7390 - 4199. Suppose -184 = -9*c + m. Calculate the highest common divisor of c and 15. 15 Suppose -998*n = -980*n - 8784. Calculate the greatest common factor of n and 3294. 122 Suppose -8*j - 9 = j. Let d = j + 91. What is the greatest common divisor of d and 36? 18 Let n = 693 + -675. Let m be 2/6 - (186/n - 14). What is the highest common divisor of m and 7? 1 Let m be ((-21)/(-14))/(15/40). Suppose 0 = m*v - 30 + 6. Let c be 2/2 + (-3 - -4). Calculate the greatest common factor of c and v. 2 Let x be (0/(-1))/(130/(-65)). Suppose -4*t + 457 = -3*z, -4*t + 2*z + 363 + 91 = x. What is the highest common factor of 64 and t? 16 Suppose 0 = -2*v + 3*k + 25 - 16, -v - 3*k = 0. Suppose -3*q - 40 = -8*q. Let i = 13 + q. What is the highest common factor of i and v? 3 Let r(l) = 503*l + 17 + 19 - 507*l. Let w be r(-11). Calculate the highest common factor of 100 and w. 20 Let y be (-86)/(-903) + (-271)/(-21). Suppose -16*f + y*f = -48. Calculate the greatest common divisor of f and 528. 16 Let k be ((-15)/4)/((-9)/1044). Suppose 7*z + k = 10*z. Calculate the highest common divisor of z and 58. 29 Suppose 4*z - 14 + 70 = o, 5*o - 4*z - 280 = 0. Let y = 3 - -6. Let b be y/((-36)/o)*-1. What is the highest common divisor of b and 112? 14 Let g be (-4)/(-24) + 0 + (-3685)/(-66). Let q be (-173)/(-5) - 9/15. Suppose -q = -4*s + 2*f, 5*s - 38 + 0 = f. Calculate the highest common factor of s and g. 7 Let n(x) = 12*x - 21. Let i be n(6). Let z be 289/i + 1/3. Let m be (-3288)/(-78) - 4/26. What is the highest common factor of m and z? 6 Suppose -2*z = 3*z - 150. Let s(i) = -14*i + 14 - 3*i + 23. Let a be s(-4). Calculate the highest common factor of a and z. 15 Let z be (-9 - (-1 + -5)) + 1263/3 + 0. What is the greatest common factor of z and 133? 19 Let r = 692 + -220. Suppose m = r - 461. Calculate the greatest common factor of 55 and m. 11 Let t be (-12)/(-10)*(-2380)/(-84). Calculate the greatest common divisor of t and 34. 34 Let d be ((-2)/4)/(1/(-2)). What is the highest common divisor of d and 131? 1 Let p = 87 - 53. Suppose 3*d + 27931 = p*d. What is the highest common factor of 17 and d? 17 Suppose -4*w = -2*d + 86, 4*d - 99 - 66 = 7*w. Calculate the highest common divisor of d and 4234. 29 Suppose 7*w = q + 3*w + 12, -16 = -4*w. Suppose 5*a = -q*y + 18, 39 - 51 = 4*y. What is the highest common divisor of a and 480? 6 Suppose 286 = 2*h - 2*v, -146 = -25*h + 24*h + 2*v. What is the greatest common divisor of h and 2200? 20 Suppose 2*x + 2700 = 3*p, 0 = -50*p + 52*p + 4*x - 1768. What is the highest common factor of 2576 and p? 112 Let d = -17 + 24. Suppose 3*b = q + 1134, 5*b - 4*q = 1792 + 105. Suppose 2*j = 5*s - b, -4*s = -j - 4*j - 288. Calculate the highest common factor of d and s. 7 Let w(p) = -3*p**2 + 23*p + 75. Let o be w(9). Supp
{ "pile_set_name": "DM Mathematics" }
-11 + 6*r**3 + 20*r**2 - 4*r**3 + 11*r - 9*r**2 - m*r**3. Does 22 divide o(11)? True Let f(s) be the second derivative of 5*s**3/6 - 23*s**2/2 + 41*s. Let b be f(5). Suppose 5*u + 5*z = 640, -b*u + 76 = -z - 171. Is u a multiple of 5? True Suppose 543348 = 1219*x - 1167*x. Is x a multiple of 9? True Suppose 291527 + 2663998 = 75*i. Is i a multiple of 15? False Suppose -307*d - 28080 = -315*d. Does 10 divide d? True Let o(r) = r**3 + 8*r**2 + 2*r - 5. Let y be o(-7). Suppose -y*c + 29*c = -2. Is 7 a factor of 0 + (22 - 1*(c - 3))? False Suppose 46094 = 123*t - 46771. Is 5 a factor of t? True Suppose 31*g + 11 = -82. Let x(u) = 2 + 5 - 17*u + 2. Does 19 divide x(g)? False Let q be 2/(-3) + 16/6. Suppose 0 = g - 3, 3*i = 3*g + q*g + 609. Is i a multiple of 7? False Suppose 7*j - 5*j - 6*k = 19238, -9599 = -j - k. Does 47 divide j? False Suppose 2*z + r = 10, 16*z - 12*z - 2*r = 4. Suppose -2*m + 3*d + 243 = 0, 0 = -z*m - d + 285 + 74. Does 10 divide m? True Let d be 136/40 - 6/(-10). Suppose -10 = -9*s + d*s. Suppose -t + 159 = s*j, -7*t - j + 650 = -3*t. Is 10 a factor of t? False Let p(f) = f**3 + 4*f**2 - 2 - 10*f + 0*f**2 + 5*f + 0. Let c be p(-5). Is -5*(c + 3)*(-5)/1 a multiple of 12? False Let u = -1836 - -15876. Suppose -a + u = 25*a. Does 60 divide a? True Suppose 3*i + 5*l = -121, 0 = 3*i + 3*l + 34 + 77. Let z be (8*3)/(0 - 4/i). Suppose 0 = 4*m - 2*m - z. Is 6 a factor of m? True Let s(f) = -19*f - 4. Let u be s(-1). Suppose -u*h + 5*h = 60. Is 4 a factor of (6/1)/((-9)/h)? True Is (188/705)/(4/(-10))*7122/(-4) a multiple of 119? False Let k(f) = -f**3 + 4*f**2 + 2*f - 6. Let t be k(4). Let b(x) = -5*x + 10*x**t - 4*x**3 - x**3 + 4*x**3 + 2*x. Does 23 divide b(8)? False Suppose 3*u = -2*f + 929, -1813 = -5*f + 4*u + 452. Suppose 848 = 3*v + j, j - f - 673 = -4*v. Is v a multiple of 47? True Suppose -2*z = 51 + 93. Does 24 divide (z/9 + 11)/((-6)/(-434))? False Suppose -5*p - 5*x + 555 = 0, -103*p + 101*p + 210 = 4*x. Is p a multiple of 74? False Suppose -5213 = -28*f + 15*f. Let s(b) = 2*b**3 - 4*b**2 + b + 2. Let d be s(2). Suppose 0*a + f = d*a + i, 2*a - 204 = -4*i. Does 25 divide a? True Let s(z) = -4*z**3 - 42*z**2 - 7*z + 112. Does 19 divide s(-13)? False Let d = -34 + 32. Let j be ((-1)/d)/(10/(-4) + 2). Does 19 divide 4 + j + 164 + 4? True Let v(b) = 7*b - 3. Let u be 5 + -2 + -2 + -5. Let m be v(u). Let l = 40 + m. Does 4 divide l? False Let x = 8 - 6. Let c = -14561 - -14170. Is 7 a factor of c/(-46) + (-3)/x? True Suppose -13*v = -763 - 537. Suppose 5*t + 10 = -0*t, 0 = 2*f - t - v. Does 7 divide f? True Suppose -5107 = -c + 3*o, 2*c - 54*o - 10213 = -49*o. Is c a multiple of 11? True Let z = -18438 - -26208. Does 122 divide z? False Let a = 13815 - 35667. Is (-2)/6 + a/(-108) a multiple of 50? False Let n(z) = 9*z - 12. Let t(i) = -9*i + 12. Let o be (8/(-2))/1 - 1. Let k(x) = o*n(x) - 4*t(x). Is 10 a factor of k(-2)? True Let q(y) = -2*y + 17. Let x be q(4). Suppose -x*a + 12 = -24. Suppose i - 249 - 98 = -a*n, 2*n - 181 = i. Does 8 divide n? True Suppose a - 3*t - 8 = 9, -5*t = -2*a + 29. Let y be 5 + -4 + a + 0. Suppose o - 38 = y*c + 4, -c + 1 = 0. Is o a multiple of 15? True Let v be (-18)/(-5) + 13/((-390)/(-12)). Is v/(-16) - (-1421)/8*2 a multiple of 71? True Let u(v) = -v**2 + 13*v - 24. Let i be u(3). Suppose 938 = i*x - 1312. Does 10 divide x? False Let a(m) = 18*m**2 - m - 3. Let x be a(1). Suppose 9*k = x*k - 980. Is 4 a factor of k? True Suppose 50*a + 1477980 = 96*a. Does 85 divide a? True Suppose -2 - 16 = -6*g. Let s = 90 - 88. Suppose 0 = 4*t - 2*v - 488, -g*t + 2*t - s*v + 112 = 0. Is t a multiple of 30? True Suppose -3*k - 30*k = -126390. Suppose k = 9*y - 4*y + 5*j, 5*j = 5. Does 10 divide y? False Is 95 a factor of (7 - (-216)/(-32)) + (-1071580)/(-80)? True Let j be (-10 - 4)*(-18)/21. Suppose 72*z - 78*z + j = 0. Does 2 divide z? True Suppose -5*r - d + 89248 = 0, -2*r + 13*d + 35706 = 10*d. Does 34 divide r? True Suppose -7*q + q = -18. Is 3 a factor of 1 + q - (-44 + 1)? False Suppose -3*r = -16*r + 39. Suppose -473 = -v - 4*c, -137 = -r*v + 4*c + 1362. Does 17 divide v? True Suppose 315 = 6*o - 1263. Is 6 + (-12)/1 + o a multiple of 16? False Let p = 7998 + 9615. Is p a multiple of 125? False Let g be (-2 - 2/(-3))/((-6)/(-9)). Let b(s) = 5*s**2 + 3*s + 1. Let h be b(g). Does 10 divide (-2015)/(-25) - 9/h? True Let q(y) = -y**3 + 16*y**2 + 17*y + 34. Does 17 divide q(17)? True Let z be (-34)/(-10) - (-2)/(-5). Suppose 58 = -r + 505. Suppose -z*m + r = 15. Does 25 divide m? False Suppose 13 - 3 = -5*q, 0 = -t - 4*q + 10981. Is t a multiple of 27? True Suppose -2835 = 5*c - 10*c + 5*x, -4*x + 592 = c. Suppose -2*m = 3*w - 7*w - c, -5*w + 1183 = 4*m. Suppose -6*d = -10*d + m. Does 37 divide d? False Let i(n) = 52*n**2 - n - 7. Let j(q) = -q**2 + 2. Let u(r) = i(r) + 6*j(r). Does 11 divide u(2)? True Let a(w) = -w**3 + 4*w**2 + 5*w + 2. Let c be a(3). Suppose -11*p + 9*p = -c. Is ((-6)/4 - (-20)/8) + p a multiple of 4? False Suppose 5*a - 845 = 5*q, -67*q = -69*q + 5*a - 356. Suppose -722 = -0*y + 2*y. Let b = q - y. Is b a multiple of 22? True Suppose -5*k = 2*o - 13304, 0 = 3*o - 5*o + 4*k + 13340. Is o a multiple of 185? False Let u(s) = s + 11. Let g be u(-8). Let l be (213/(-6))/(g/(-6)). Suppose -4*d - 4*f = -80, -4*d = 2*f - l - 3. Is 9 a factor of d? False Let z(g) = 25*g**3 - 7*g**2 + 46*g + 188. Is 93 a factor of z(7)? True Let i = 1 + 0. Is ((-5)/10 - i)*-2 even? False Let o(f) = f**2 + 12*f + 21. Let m be o(-7). Let r = 15 - m. Is r even? False Let j = -269 + 32. Let d = 274 + j. Does 15 divide d? False Suppose 9260 + 25272 = 5*s - 4*a, -13796 = -2*s + 4*a. Does 128 divide s? True Suppose 3*p - 135 = -2*p. Suppose 12 = -25*f + p*f. Suppose f*w + 240 = 10*w. Does 30 divide w? True Let r(w) = -6*w**3 - w**2 + 2*w. Let x be (-2 - 3) + (-18)/(-6). Let y be r(x). Let h = y + -16. Does 8 divide h? True Suppose 214*f = 210*f + 3192. Let y = f + -545. Is 6 a factor of y? False Let k = 14 + -10. Suppose k*f - 2737 = p, -2*f - 4*p + 2732 = 2*f. Does 76 divide f? True Let p be (((-3)/5)/1)/((-2)/20). Does 3 divide -2 + 90/(p - 1)? False Suppose 33*t + 2*t = -25*t + 1055040. Does 28 divide t? True Let q(g) = g**3 + 7*g**2 + 7*g + 11. Let a be q(-6). Suppose 10*x + 2*j = 6*x + 248, 3*x = -a*j + 200. Is x a multiple of 9? False Suppose -x + 5 = -2*d - 7, -36 = -4*x + 4*d. Suppose -2*k + 66 = 2*y + x, k - 3*y - 10 = 0. Is k a multiple of 15? False Let p = 10151 + 14. Is 95 a factor of p? True Does 39 divide -6*14277/(-6) + (278 - 281)? True Let r(m) = -1. Let g(i) = 25*i - 3. Let p(w) = -g(w) + 6*r(w). Let c be -5 - (5 + (-40)/5). Does 8 divide p(c)? False Suppose -12734110 = -145*t - 475*t - 2419790. Is t a multiple of 7? False Let n(i) = 22*i - 9. Let x(t) = -3*t - 7. Let g be x(-3). Let l be n(g). Does 16 divide (-1372)/l*5/(-2)? False Suppose 274800 = -50*t + 125*t. Is t a multiple of 61? False Suppose 31*i - 12558 = 44792. Does 25 divide i? True Let h = -116 - -76. Let m be (-4)/(-6) + (h/15 - 1). Let g(v) = v**3 + 4*v**2 - 1. Does 2 divide g(m)? True Suppose 36*j - 24*j + 154020 = 29*j. Does 60 divide j? True Let m = 161 + -337. Let j be (1/(-2))/((-8)/3936). Let q = m + j. Does 14 divide q? True Let s(a) = -a + 60*a**3 + 4*a**2 - 30*a**3 + 9 - 31*a**3. Let x be s(4). Is 1/x - (-1074)/30 a multiple of 18? True Let l(j) = -4*j**3 + 10 + 3*j**3 + 8*j**2 - 9*j - 3 + 3*j**2. Let s = 92 + -83. Does 22 divide l(s)? True Suppose -11*u - 1300 = 2*u. Let z = 429 + u. Is 36 a factor of z? False Let u(d) = -969*d - 2794. Is 17 a factor of u(-9)? False Let q = 2235 + -1191. Is 87 a factor of q? True Suppose -r + 3*f + 7773 = 0, 4*r - 12*f = -9*f + 31101. Does 44 divide r? False Let m = -285 + 301. Suppose -m*i = i - 1411. Does 9 divide i? False Let t(c) = -3*c + 57. Let f be t(19). Suppose f = -46*r + 39*r + 3542. Is 22 a factor of r? True Let s(h) = 21*h + 709. Let c(w) = -116*w - 3900. Let i(q) = 5*c(q) + 28*s(q). Does 32 divide i(-24)? True Let x be (-939)/21 - 16/56. Let q = x - -48. Suppose -4*r - q*r + 665 = 0. Does 24 divide r? False Let i = 8216 + -3599. Is 42 a factor of i? False Suppose -3*s + 3*a = 8*a - 150, -5*s + a = -278. Suppose 7*l = -29 - s. Does 20 divide ((-40)/(-3))/((-4)/l)? True Su
{ "pile_set_name": "DM Mathematics" }
-4, j, d? j Let y = 7.183 + 0.567. Let j = 7.45 - y. Let a(o) = -o - 2. Let f be a(-2). What is the closest to -0.1 in j, 0.2, f? f Let l = -25.19 + 24.69. Let r = -0.5 - 0.1. What is the closest to r in 0.08, 2, l? l Let p = 59.96976 - -0.03024. What is the nearest to 3 in p, 0.5, 1? 1 Let s = 845.8 + -844.8. Let j = -5.2 - -5. What is the nearest to 3 in 2/3, s, j? s Let z be -10*(49/(-14) - -1). Let u be 2 - (13*(-10)/z)/(-2). Which is the closest to -1/4? (a) u (b) 11 (c) -2/7 c Let i = -50 + 151/3. Which is the nearest to -2/7? (a) 0 (b) -1.3 (c) i (d) 4 a Let v = -10055 - -10055.3. Let m be (-10)/(-8) + 1 + -2. Which is the closest to 2/7? (a) m (b) -0.3 (c) v c Let q = -16427/4 + 4107. Let i = 38 + -33. What is the nearest to q in 4, i, 5/4? 5/4 Suppose -13*o - 245 = -5*l - 9*o, 5*o = -l + 49. Let r be 0/((l/7)/7). Which is the closest to 3? (a) 3 (b) 5 (c) r a Suppose 4*n = 2*u, -n - 2 = -2*n + u. Let z = -4 - -1. Let t = -4373 - -39355/9. Which is the nearest to 0.3? (a) z (b) n (c) t c Let u = -2663 + 2662.975. Which is the nearest to -1/3? (a) -0.3 (b) 0.1 (c) u a Let s = -172.51 - 1.49. Let q = -173.7 - s. What is the closest to -0.03 in -0.3, -1, q? -0.3 Let q be (-492)/(-35) - (-140)/(-2450). What is the closest to -0.1 in -1, q, 0.5, 1/6? 1/6 Let u = -9433.4 - -9433. Which is the closest to 8? (a) u (b) 0.2 (c) 8.1 c Let h = -828 - -831. Let w = -0.5 - -0.5. Which is the closest to w? (a) 0.4 (b) 2/9 (c) h b Let d = 3 - 1. Let v = -0.2 + 0. Let y be (-11 - -23 - 14)/(4/10). What is the closest to -1/4 in v, y, d? v Let k = 45 - -178. Let g = 225 - k. What is the closest to -2/13 in g, 13, 0? 0 Let x = 20549 + -20548. Which is the closest to 2? (a) x (b) -0.34 (c) -0.3 (d) -0.2 a Let t = -46414 + 46417. Let p = -0.08 + -0.12. What is the closest to -2/7 in 0, t, p, -0.1? p Let f = -0.024 - -1.424. Let t = f - 2.9. Let n = 2.5 + t. What is the nearest to n in 0.1, 4/7, -3? 4/7 Let r be (8/20)/((-14)/10). Let o = 0.8 - 1. Let f be (2/(-30))/(276/(-120) - -2). Which is the closest to r? (a) -1/3 (b) f (c) o a Let q = 15.1 - 13. Let c = 1.1578 + -0.0578. Let o = q - c. What is the nearest to 1 in 1/2, o, -3/2? o Let w = 0.16 + -0.27. Let k = w + -0.09. Let r = -3.089 + 0.089. Which is the nearest to -1? (a) -5 (b) k (c) r b Let s = -13.4 + 13. Let b = -2.907 + -0.093. Let d = b - -3. What is the nearest to d in -4, -0.2, s? -0.2 Suppose 0 = -f + 10 - 7. Let z = -0.18 + 1.18. Let t = -144 - -160. What is the closest to z in t, 5, f? f Let b = -2 - 1. Let g = -0.14496 + -0.05504. What is the closest to b in g, 2, 0.4? g Suppose -3 + 15 = 3*p. Let f be (4*-2)/(p/(-2)). Suppose -3*h + 5*h + 2 = 0, -5*w - 5*h = -20. Which is the closest to 1? (a) 3 (b) w (c) f a Let w = 15808 - 15807.8. Which is the nearest to w? (a) 12 (b) 0.1 (c) 0.5 b Let l(n) = -n**3 + n**2 + 10*n. Let u be l(3). What is the nearest to 0.1 in 0.1, 2/11, -0.2, u? 0.1 Let k = 49/2 - 24. Let s(b) = 2*b**2 - 6*b + 17. Let u be s(4). Suppose -5*r + 5*n = -5, 2*r - 6 + u = -5*n. What is the nearest to r in -0.2, k, 3? -0.2 Let h = -487 - 26. Let s = -514.6 - h. Let u = -0.9 + 1. What is the nearest to u in s, 3, -0.3? -0.3 Let x = -1.3 - -1. Suppose -17*r + 2*f + 14 = -15*r, 3*r + 2*f = 16. What is the closest to r in 0.4, x, 0.3? 0.4 Let f = 7436 - 7436.2. Which is the nearest to 2/19? (a) -2/3 (b) f (c) -4 b Let y = 1923 - 1923.031. Which is the nearest to 0? (a) 2/5 (b) y (c) 0.5 b Let f = 295 + -300. Let d(y) = -y**2 - 7*y - 13. Let i be d(f). What is the nearest to 1/13 in -2, i, 5? -2 Let y = 0.082 - -0.018. What is the nearest to -1.6 in 4, y, 7, 2? y Let n(w) = -w**2 - 7*w - 7. Let q be n(-4). Let y = -5437/103664 + -1/5456. What is the closest to 0 in q, y, -3? y Let s = 3387 - 23705/7. Which is the closest to 3/5? (a) -11.5 (b) 3 (c) s c Let h = -2907.6 + 2909.5. Which is the closest to 0.1? (a) 3 (b) -1 (c) h (d) 5 b Let b = 61 + -56. Let w = -0.1594 - -0.1594. What is the nearest to -1 in -5, w, b? w Suppose i - 7 + 1 = 0. Suppose -i*g - 5 = -g, g - 14 = -5*d. Let u be -2 + 0/(-4) + d. Which is the closest to -1? (a) -0.1 (b) u (c) -5 a Let p = 2981.3 - 2981.1. What is the closest to -2 in 2/3, -3/8, 6, p? -3/8 Let d = 1103.63 - 1110. Let l = d + 21.37. Which is the closest to 0? (a) 5 (b) l (c) 5/6 c Let r = -35 + 34.32. Let z = -925.68 + 926. Let v = r - z. Which is the closest to v? (a) 2/39 (b) -2 (c) -0.5 c Let x = 2280 - 2290. Let m be (6/4 - -1) + 0. Which is the nearest to -1/4? (a) 0.2 (b) m (c) x a Let q = 15590 + -15586. Which is the closest to 1/5? (a) 1 (b) -1/3 (c) q (d) 2 b Let p = -951/8 + 119. Let n = -20 + 18. Which is the closest to n? (a) p (b) -3 (c) -2/7 b Let v = -0.2 - -0.3. Let u = 95519.2 + -95519.2. What is the closest to u in -0.2, v, -8? v Let i = -2.5 - -1.5. Let p = 10.1284 - 1.1284. What is the nearest to p in 2/19, i, 1/8? 1/8 Let d = -0.3098 + 1.3098. What is the closest to -2/7 in -30, 2, 4, d? d Let y be (-3)/(-4)*1 - (-11 + 12). Suppose 0 = 4*s - 120. Suppose 7*g - s = g. Which is the nearest to 0? (a) y (b) g (c) -1 a Let w = 0.98324 + 0.01676. Which is the closest to w? (a) -2/9 (b) -7 (c) 3/34 (d) -1/2 c Let k = -23362 - -23360. Let l = -4 + 6. What is the nearest to -0.1 in k, 1/2, 2/3, l? 1/2 Let r = 1558.8 - 1559. Let m = 25 + -53. What is the nearest to -3 in 4, r, m? r Let d = 8089.1 + -8089. Let u = -0.1 + 0.09. Let q = u + -0.29. What is the nearest to d in q, 5/3, -7? q Let g = -9334 + 9792.1. Let o = g + -458. What is the closest to o in -0.1, -0.23, -4? -0.1 Let x = -38.126 + 38. Let i = x + 0.026. What is the nearest to -4 in i, 2/3, -3? -3 Let l = -9.1 + -199.9. Let n = l - -212. What is the nearest to -1/6 in -5, -1, n? -1 Let x be ((-15)/(-10) + -3)/(10/75). Let d = -11 - x. Which is the closest to d? (a) -5 (b) 0.3 (c) -1.4 b Suppose -3*g = 5*f - f + 668, 2*f = -2*g - 446. Let l be 2*1 + g/126. Let y = -16/3 - -182/33. Which is the nearest to 2? (a) 1/2 (b) l (c) y a Suppose -2*u + 164 = 4*h, -3*u - h + 256 = -0*h. Let y = u + -84. Let i = -10 + 6. Which is the closest to y? (a) -2 (b) 3 (c) i b Let q = 390/11 - 769/22. Let p = -158.7 - -159. What is the nearest to 14 in 1, q, p, 3? 3 Let r = 1410 + -29608/21. Let u be 1/(-3*2) - 0. Let f = -3.9 - -4.3. What is the closest to -2 in u, f, r? u Let u = -59.1 - -62.47. Let l = 390.63 - 391. Let m = l + u. What is the closest to m in 0.5, 3, -1? 3 Suppose 0*x - 9 = 3*x. Let w be (237 - -6)/(-5*2/(-10)). Suppose w*p - 258*p = 0. What is the closest to p in -4, x, -2? -2 Let p be 1749/2385 - (2 - 1). Which is the closest to p? (a) 0.5 (b) 2 (c) -19/4 (d) 4 a Let r(f) = -f**3 - 2*f**2 + 9*f + 23. Let u be r(-10). Let k = 2195/3 - u. Which is the closest to -2? (a) k (b) -0.5 (c) -9 (d) -2/7 a Let f = 8518 - 8517. What is the closest to 0.49 in 1/3, -0.7, 1/10, f? 1/3 Let n be (-3)/(-2) - (-2)/(-4). Let q be 19/(-5) + 13294/3910. Which is the closest to -52? (a) n (b) 1/7 (c) 1/2 (d) q d Let u = -17.108 - -0.108. Let w = 15 + u. Let y be ((-4)/(-6))/((-175)/75). Which is the nearest to w? (a) y (b) -0.5 (c) -0.2 b Let w(p) = p**2 - 16*p - 1682. Let l be w(50). Which is the nearest to 1? (a) l (b) 3 (c) -0.05 (d) 2 d Let v = 265/3 - 87. Let w = -215461 + 1508223/7. What is the nearest to -1 in v, w, -0.06? w Suppose -5*n = -y + 8, 2*n - 63 + 39 = -3*y. Let t = 0.2 + -0.2. Let p = t - 0.2. Which is the nearest to p? (a) -3 (b) 5 (c) n c Let i = 2442 - 2445. Which is the nearest to -0.1? (a) 20/3 (b) 0.2 (c) -5 (d) i b Let g = 21 + -15. Let q be (-8)/g*(2 - -1). Let f = -0.42 - -0.52. Which is the closest to 1/3? (a) 0 (b) q (c) f c Let n be ((-102)/(-1785))/(18/(-45)). Which is the closest to 0.9? (a) -5 (b) n (c) 0.2 (d) -1/32 c Let g = 35.7 - 26. Let t = -9.7 + g. Which is the nearest to 0.1? (a) -5 (b) t (c) -1/4 b Let h = 72009 + -72010. Let n = -2 - -1.8. Let l = 0.6 + -0.2. Which is the nearest to n? (a) l (b) h (c) -3 a Let y be 2 - 3/1 - (0 - -18). Let g be y + 18 - (0/2 - 1). Let h be (-2)/4 + (-15)/(-70). What is the closest to -1/5 in h, 1, g? h Let t be -3 - ((-1)/(-3) + (-1037)/366). What is the nearest to -820 in 2/9, 4, t?
{ "pile_set_name": "DM Mathematics" }
3*i + 4 = 4*d. Let l be z(d). Find the third derivative of 3*b**2 + l*b**3 - 3*b**3 + 3*b**3 wrt b. 12 Find the second derivative of -5*g**2 - 3*g**2 + 4*g**3 - 52 + 33*g - 35*g wrt g. 24*g - 16 Differentiate 118 - 20*j**4 + 84*j**4 + 45 wrt j. 256*j**3 What is the second derivative of 11 + f - 31 - 7172*f**2 + 7071*f**2 wrt f? -202 Let x(h) be the first derivative of 0*h**3 - 29/2*h**2 + 45 + 0*h - 57/4*h**4. What is the second derivative of x(a) wrt a? -342*a Let u = -9 - -11. What is the third derivative of -182*p**2 + 5*p**6 + p**6 + 191*p**u wrt p? 720*p**3 Let u(i) = 2*i + 18. Let y(r) = -r - 12. Let w(j) = 5*u(j) + 8*y(j). Let o be w(5). Find the second derivative of o - 3*t - 4 + 2*t**4 + t wrt t. 24*t**2 Find the second derivative of -1 + 997*w**2 + 824*w**2 - 51*w - 1543*w**2 wrt w. 556 Let s(g) = 353*g - 62. Let h(f) = 175*f - 31. Let q(v) = -5*h(v) + 2*s(v). Differentiate q(n) wrt n. -169 Let o(w) be the first derivative of 28*w**5/5 + 2*w**3/3 + 21*w**2 - 79. Find the second derivative of o(l) wrt l. 336*l**2 + 4 Let b(v) be the first derivative of -5/2*v**4 + 16/3*v**3 - 7 + 0*v**2 + 0*v. Find the third derivative of b(t) wrt t. -60 Let w = -19 - -39. Find the second derivative of k + 16*k - 5*k + w*k**4 wrt k. 240*k**2 What is the third derivative of -10*t**6 + 284*t**2 - 4*t**5 + 19*t**5 - 14*t**5 - t**5 wrt t? -1200*t**3 Let a(m) = 35*m**4 + 2*m**2 - 3. Let t(p) = 17*p + 8*p - 24*p + p**2. Let l(x) = -a(x) + 2*t(x). Find the second derivative of l(r) wrt r. -420*r**2 Let m(t) be the first derivative of 2 + 1/2*t**4 + 3*t**2 + 39*t + 0*t**3. Differentiate m(q) wrt q. 6*q**2 + 6 Let a(b) = -3*b + 9. Let y be a(8). Let j be 5*(4 + 51/y). Find the first derivative of -2*v**3 - j + 6*v**3 + 12 wrt v. 12*v**2 Let x(g) be the second derivative of -g**4/6 + 2*g**3/3 + 29*g**2 - 9*g + 1. Find the first derivative of x(h) wrt h. -4*h + 4 Suppose -2*j + 5*p + 10 = j, -2*j + 6 = -4*p. Find the third derivative of -j*d**2 + 8*d**3 - 31*d**3 - 4*d**2 wrt d. -138 Let i(p) = 14*p + 1. Let a be i(1). Let f = a - 13. What is the second derivative of 3*g**f - 3*g + 0*g**2 - g**2 wrt g? 4 Suppose -4*n = -4*t - 64, 0*t + 52 = -4*t - 2*n. Let s be (-7)/t*6/1. Find the third derivative of -3*j**6 + 2*j**6 - 4*j**2 + s*j**6 wrt j. 240*j**3 What is the third derivative of -7*y**6 - 72*y**6 - 32*y**2 + 58*y - 255*y**6 - 59*y wrt y? -40080*y**3 Let l(p) be the second derivative of 0*p**7 + 0*p**3 + 13/12*p**4 - 4*p + 1/28*p**8 + 0*p**6 - p**2 - 2 + 7/20*p**5. What is the third derivative of l(f) wrt f? 240*f**3 + 42 Let z(x) = -70*x**3 + 12*x**2 - x + 61. Let v(s) = -s**2 - 1. Let t(w) = 22*v(w) + 2*z(w). Find the second derivative of t(a) wrt a. -840*a + 4 Find the second derivative of 9*i**3 + 2 - 17*i**2 - 2 - 8*i**3 + 18*i wrt i. 6*i - 34 Suppose -5*f + 10*f = -10. Let t be 1*(f - 0) - -20. Differentiate -u**3 - u**3 + t - 20 wrt u. -6*u**2 Differentiate -3*f**4 + 127 - 266 + 4*f + 2*f**4 wrt f. -4*f**3 + 4 Let p(d) be the second derivative of 0 + 10*d - 1/4*d**5 + 11/6*d**3 + 0*d**4 + 0*d**2. What is the second derivative of p(v) wrt v? -30*v Let x = 67 - 63. What is the derivative of 4 + 3 - 2 + 23*b**x - 5*b**4 wrt b? 72*b**3 Let v(h) be the first derivative of 2*h**5 + 35*h**3/6 + 42*h - 23. Let g(m) be the first derivative of v(m). What is the second derivative of g(t) wrt t? 240*t Suppose -u + w = -7, 7 = -2*u - 2*u - 3*w. Find the third derivative of 13*q**6 + 5*q**2 + 2*q**6 - 3*q**u wrt q. 1800*q**3 Suppose -8*o - 238 = -9*o. What is the derivative of 228 + 2*k + 13*k - o - 4*k wrt k? 11 Let i(h) = 856*h**2 - 6*h - 483. Let c(z) = 856*z**2 - 9*z - 480. Let k(g) = 2*c(g) - 3*i(g). Find the first derivative of k(y) wrt y. -1712*y Let y(v) be the second derivative of v**7/42 - 3*v**6/10 - 35*v**3/3 + 104*v + 2. What is the second derivative of y(d) wrt d? 20*d**3 - 108*d**2 Differentiate -78*i**2 + 70 - 300*i**2 + 33 + 85*i**2 wrt i. -586*i Let w(j) be the first derivative of -97*j**3/3 + 49*j**2 - 2. What is the second derivative of w(c) wrt c? -194 Let q(i) = -159*i**2 - 11*i + 45. Let y(k) = -32*k**2 - 2*k + 9. Let n(f) = 2*q(f) - 11*y(f). Find the first derivative of n(l) wrt l. 68*l Let m(v) = -9*v**2 + 23*v + 259. Let l(n) = -3*n**2 + 8*n + 87. Let i(b) = 11*l(b) - 4*m(b). Differentiate i(x) with respect to x. 6*x - 4 Let s(l) be the first derivative of -186*l**5/5 - 83*l**3 + 164. What is the third derivative of s(w) wrt w? -4464*w Find the first derivative of 13 + 86 - 62*m**3 + 69 - 45 + 27 wrt m. -186*m**2 Let u be ((-54)/45)/((-6)/80). What is the derivative of u*w - 19 - 11 + 37 wrt w? 16 Let u(s) = s**3 - 17*s**2 + 17*s + 1. Let i be u(16). Find the third derivative of 3 + 36*g**4 - 3 - i*g**4 + 27*g**2 wrt g. 456*g Let q = 29 + -17. Find the second derivative of 53*z - 104*z + 35*z + q*z**2 wrt z. 24 Let z = 0 + 0. Let w(d) be the first derivative of 0*d + 2/3*d**3 + 0*d**2 - 3 + z*d**5 + 0*d**4 + 1/3*d**6. What is the third derivative of w(a) wrt a? 120*a**2 Let y(l) be the first derivative of -8*l**5 - l**4/4 + 25*l**2 - 76. Find the second derivative of y(u) wrt u. -480*u**2 - 6*u Let r(k) be the first derivative of -11*k**7/7 - 2*k**6/3 - 27*k**3 + 130. Find the third derivative of r(d) wrt d. -1320*d**3 - 240*d**2 What is the derivative of 9*p**4 - 23*p**4 + 9*p**4 - 88*p**3 + 354 - 28*p**2 + 88*p**3 wrt p? -20*p**3 - 56*p Let j(h) be the third derivative of -h**7/35 + h**5/60 - h**4/6 - h**3/2 - 8*h**2 + 3*h. Find the second derivative of j(n) wrt n. -72*n**2 + 2 Find the second derivative of -71*y**5 - 2*y**4 - 7*y**5 - 88*y**5 + 2*y**4 - 169*y wrt y. -3320*y**3 Let l(y) be the second derivative of 7*y**6/10 - y**3/2 - 11*y**2/2 - 4*y - 4. Find the second derivative of l(i) wrt i. 252*i**2 Let b(v) = v**4 - v**3 - 1. Let z(k) = 139*k**4 + 5*k**3 + 107*k**2 + k + 5. Let g(h) = 5*b(h) + z(h). Find the third derivative of g(j) wrt j. 3456*j What is the second derivative of 706*n**3 + 258*n**2 - 21 + 91*n**3 - 258*n**2 + 2*n wrt n? 4782*n Let j(p) be the first derivative of p**2/2 - 2*p + 4. Let y be j(2). Find the first derivative of -5 - 6*i + i + y wrt i. -5 Let g(w) = 3*w + 27. Let q be g(-7). What is the third derivative of -q*k**4 - 2*k**2 - 9*k**4 - 2*k**2 wrt k? -360*k Differentiate 6*y - 9*y**4 - 9*y + 6 + 82 with respect to y. -36*y**3 - 3 Find the second derivative of 56*d**2 - 2*d - 17*d - 55*d**2 wrt d. 2 What is the second derivative of -74*h**3 + 8 - 8 - 61*h + 4*h**3 wrt h? -420*h Let x = 34 + 1. Let r(w) = 10*w**3 - 8*w + 2. Let d(b) = -170*b**3 + 135*b - 35. Let u(h) = x*r(h) + 2*d(h). Find the second derivative of u(o) wrt o. 60*o Let s(d) be the first derivative of 82*d**3 - d**2 + 175*d + 525. Find the first derivative of s(x) wrt x. 492*x - 2 Let r(h) be the third derivative of -23*h**6/24 - h**5/60 - 5*h**4/8 - 52*h**2 + 2. Find the third derivative of r(d) wrt d. -690 What is the derivative of 541*g + 154*g + 288 - 172 wrt g? 695 Let t = 6 + 8. Suppose k + 7 = t. What is the derivative of k - 3*f - 1 - 2 - 5*f wrt f? -8 Let h(p) = -250*p**3 + 6*p**2 + 4*p + 81. Let u(x) = -x**3 + x**2 + x. Let k(m) = -h(m) + 4*u(m). What is the first derivative of k(z) wrt z? 738*z**2 - 4*z Let k(a) = 3*a + 7. Let y(u) = u + 1. Let p be -2*1*5/10. Let l(v) = p*k(v) + 2*y(v). Differentiate l(x) wrt x. -1 Let p be 2 + 0 + 177/3. What is the third derivative of 2 + 10*o**4 - 71*o**2 - 2 + p*o**2 wrt o? 240*o Let u(q) = 204*q**3 - 52*q**2 + 11*q - 11. Let h(p) = 68*p**3 - 18*p**2 + 4*p - 4. Let m(x) = 11*h(x) - 4*u(x). Find the third derivative of m(b) wrt b. -408 What is the third derivative of 7235*l**3 - 6950*l**3 + 119*l**2 - 650*l**2 wrt l? 1710 Let m(b) be the third derivative of 1/24*b**6 + 0 + 0*b - 1/5*b**5 + 0*b**3 + 0*b**4 - 6*b**2. What is the third derivative of m(j) wrt j? 30 Suppose -3*o + n = -4*o - 3, -15 = 3*n. Let j(c) = 2*c**2 + 3*c. Let u be j(-2). Find the second derivative of 0*r**o + u*r - 5*r**2 + 3*r**2 - 4*r**2 wrt r. -12 Let s(u) be the first derivative of -1/2*u**2 + 17*u - 4. Differentiate s(d) wrt d. -1 Let j(f) be the first derivative of 32*f**3/3 - 121*f - 63. What is the derivative of j(t) wrt t? 64*t Find the third derivative of 33 - 30*m**3 - 16*m**3 - 353*m**2 - 33 wrt m. -276 Let k
{ "pile_set_name": "DM Mathematics" }