Datasets:
timaeus
/
pile-dm_mathematics

Dataset card Data Studio Files Community
text
stringlengths
270
8.19k
meta
dict
/((-2)/(-20) + o). Calculate the highest common factor of s and 84. 28 Let l be ((-4)/(-8))/((-3)/(-42)). Suppose l*c - 405 = 330. Calculate the greatest common divisor of 21 and c. 21 Suppose -5*u = -0*u - 25. Suppose u*t - 80 = 145. Suppose 0*h = 4*h - w - 47, -3*w - t = -4*h. What is the greatest common factor of 96 and h? 12 Suppose 4*f + 11 = 39. Suppose 7 = 2*v - j, -2*v - f - 4 = 5*j. Suppose o + 4*k - 64 = -o, 5*k - 69 = -v*o. What is the greatest common divisor of 55 and o? 11 Let g = -2735 + 2930. Calculate the highest common divisor of 39 and g. 39 Let x = 358 + -256. What is the greatest common factor of x and 34? 34 Let q be -2*(-2)/(-4) + 22/11. Calculate the greatest common divisor of 8 and q. 1 Let r be -4*(-8 + 1) + -3. Let z = r - 4. Calculate the greatest common factor of 14 and z. 7 Let h(g) = g**3 + 14*g**2 + 13*g + 4. Let x be (-8)/(-3) - (-4)/12. Let v be (x/(-6) - 0)*26. Let f be h(v). What is the greatest common divisor of 4 and f? 4 Let j(k) = k**3 + 13*k**2 - 15*k - 12. Let d be j(-14). Suppose -d*l - 62 = -g, 3*g = l + 15 + 196. What is the greatest common divisor of g and 9? 9 Let h be ((-7)/(14/(-3)))/((-3)/(-608)). Calculate the highest common factor of 38 and h. 38 Suppose -4*n + 283 - 103 = 0. Calculate the greatest common divisor of 18 and n. 9 Let q = 20 - 28. Let z = q + 21. What is the greatest common divisor of z and 13? 13 Suppose -5*a + a + 356 = -s, 0 = -4*a - 3*s + 340. Suppose j + j = a. Suppose -5*z + j = -1. Calculate the greatest common divisor of z and 27. 9 Suppose -3*d - 5*f - 14 = 0, 19 - 1 = -d - 5*f. Suppose 0 = p - d*p + 165. Suppose 0 = 21*x - 102*x + 5346. Calculate the highest common divisor of x and p. 33 Suppose -5*w + 172 + 103 = 0. Let c(p) = -p**3 + 4*p**2 + 7*p - 5. Let v be c(5). What is the greatest common divisor of w and v? 5 Let x = -48 - -54. Let q be (x - 0 - -2)*1/4. Calculate the greatest common divisor of q and 7. 1 Suppose -17*x + 298 = -416. What is the highest common factor of 84 and x? 42 Suppose 2*k - 4*u = 4, 3*k - 5*u - 2 = 7. Suppose n + y = 2, 0 = -4*n - 4*y + 5*y + k. Suppose -19 + 3 = -n*r. What is the greatest common divisor of r and 40? 8 Let n be 8/((3 - 5)*-1). Suppose x = 2*d - 16, 9 - 25 = n*x. Calculate the greatest common divisor of d and 6. 6 Let c be 6/12 + 218/4. Let f be (-2)/(-7) + 69/(-21). Let u be f/9*-15*1. What is the highest common factor of u and c? 5 Let d = 2459 + -882. What is the highest common divisor of 19 and d? 19 Let y(r) = -r**3 - 4*r**2 + 8*r + 6. Let w be y(-6). Let z = w + -3. Calculate the highest common factor of z and 18. 9 Let x = -35 + 38. Suppose 0 = x*u + 84 - 174. What is the highest common divisor of 12 and u? 6 Let l = 6 - 3. Suppose 0 = -l*w + 2*k + 246, -4*k - 266 = -5*w + 142. Calculate the highest common factor of 12 and w. 12 Let d(s) = -8*s + 9. Let r be d(-9). Calculate the highest common divisor of r and 12. 3 Suppose 4*o = -v - v + 74, 2*o = 4. Suppose 140 + 1015 = 5*s. Calculate the greatest common divisor of v and s. 33 Suppose 0 = -3*v - u + 14, 29 = 5*v - 4*u - 0. Let h be -1 + (29 + -2)/(-3). Let w be (1 - 4)/(2/h). What is the greatest common factor of v and w? 5 Let o(j) = -j**3 - 7*j**2 - 10*j - 9. Let w be o(-6). Suppose -4*d - 11 + 79 = 4*n, -66 = -4*n - 3*d. Calculate the highest common divisor of n and w. 15 Let v be 4394/13 - -3 - 0. Suppose 0 = -0*s + 4*s - 8, -147 = -5*c + 4*s. What is the greatest common divisor of v and c? 31 Let i(l) = -32*l - 4. Let f = -11 - -14. Let z be i(f). Let k = z - -145. Calculate the greatest common divisor of 18 and k. 9 Let p(h) = h**3 + 5*h**2 - 3*h + 7. Let f be p(-7). Let o be (-2268)/f + 4/(-10). Calculate the greatest common divisor of 4 and o. 4 Suppose 0 = -2*k - 3*k - 5*x + 235, -2*x - 182 = -4*k. What is the highest common factor of 138 and k? 46 Suppose -7*z + 36 = -4*z. Let r be 1 + -1 - (-48)/z. Suppose -4*b - 5*u - 69 = -5*b, -r*b + 2*u + 204 = 0. What is the greatest common divisor of b and 7? 7 Suppose 0 = -8*c - 0*c + 584. Let o = -71 + c. What is the highest common divisor of o and 30? 2 Suppose 5*g + 2 - 12 = 0. Suppose 5*n - 117 = g*n - 3*z, 0 = -n - 3*z + 39. Let u = n + -23. Calculate the highest common factor of 40 and u. 8 Let g(k) = -2*k - 9. Let j be g(-7). Let q = j - 10. Let i(z) = -3*z + 3. Let d be i(q). Calculate the highest common factor of d and 12. 6 Suppose -j = 5*k + 1, 313*k - 309*k = -j + 4. What is the highest common divisor of 4632 and j? 24 Suppose 25 + 231 = -4*u. Let z = -38 - u. Let d be 16/(-392)*7 + 184/7. What is the greatest common factor of d and z? 26 Let y(r) = r**2 + 5*r - 2. Let q be y(-6). Suppose q*v - 26 - 6 = 0. What is the greatest common factor of v and 32? 8 Let p = 331 - 329. What is the greatest common factor of p and 106? 2 Let b be -13 + (-9)/(-3)*1. Let l be 60/(-12)*12/b. Suppose 109 = 3*g - 17. Calculate the greatest common factor of l and g. 6 Let o(g) = 10*g + 2. Let q be (-2)/5 - (-776)/40. Let h be o(q). Calculate the highest common factor of h and 24. 24 Let o(l) = -l**3 - 40*l**2 - 59*l - 177. Let w be o(-39). Calculate the highest common divisor of 134 and w. 67 Let o(j) = -j**2 - 15*j - 13. Let y be o(-9). Calculate the greatest common factor of 697 and y. 41 Let n be 46/184 - 95/(-4). Calculate the highest common factor of n and 6. 6 Let p = -56 + 104. Suppose -3*b + 33*b - 137 = 223. Calculate the highest common factor of p and b. 12 Let y = -542 + 581. Calculate the greatest common divisor of y and 143. 13 Let t(b) = b**3 + 10*b**2 - 14*b - 17. Let d = 83 - 92. Let v be t(d). Calculate the greatest common factor of 10 and v. 10 Let o be (-5)/(30/(-12))*441/6. Calculate the highest common factor of 63 and o. 21 Let p(g) = -g - 1. Let i(o) = 2*o**2 - o - 2. Let s(m) = i(m) - 2*p(m). Let y be s(4). Calculate the greatest common divisor of y and 54. 18 Let b be -2*((-3)/6 - -3). Let y(i) = -13*i. Let w be y(b). Calculate the greatest common factor of w and 5. 5 Let g be (-101)/(-3*2/(-6)). Let x = 169 + g. Let m = 150 + -48. Calculate the highest common divisor of m and x. 34 Suppose -15 = -5*h - 0*h, -5*v - 3*h + 19 = 0. Let y be (3/9 - -1)/(v/36). Calculate the greatest common factor of 6 and y. 6 Let r be (36/(-45))/(1*(-4)/190). Calculate the highest common factor of r and 171. 19 Suppose -b = 2*z + 58, -4*z - 8 = -5*b + 94. Let y = z + 34. What is the highest common factor of 48 and y? 6 Suppose 0 = -a - 2*a + 132. Suppose 4 - 50 = -2*r. Suppose 4*n = 3*j + 2*n - r, -n = -3*j + 28. Calculate the greatest common divisor of j and a. 11 Suppose 0 = 6*u - 2*u + 36. Let b be (-11 + -1)*30/u. Let g be (1 - (-9)/3)*2. Calculate the greatest common divisor of b and g. 8 Let a(p) = 15*p**2 + p - 1. Let l = -7 + 8. Let f be a(l). Suppose 0 = 4*n - 5*n - x + 167, n + 5*x = 175. What is the highest common divisor of f and n? 15 Suppose -7*c - 8*c + 105 = 0. What is the greatest common factor of 7 and c? 7 Let r be -19 - (-1 + 2)*-1. Let z(p) = -p**3 + 6*p**2 - 5. Let x be z(4). Let f = r + x. Calculate the highest common divisor of 18 and f. 9 Let t be (4 - 9)*6/15. Let u be ((-49)/(-2) - t) + (-5)/10. Calculate the greatest common factor of u and 39. 13 Let t(m) = m - 1. Let q be t(7). Suppose 80 = q*b + 8. Calculate the highest common divisor of 84 and b. 12 Let x be (33 - -2) + (-200)/(-40). Calculate the highest common divisor of 40 and x. 40 Let k(v) = -v**3 + 2*v**2 + 5*v + 279. Let x be k(0). Calculate the greatest common factor of x and 9. 9 Suppose 35 = 2*g + 3. Let b = -1693 - -1805. Calculate the greatest common factor of g and b. 16 Let u(j) = -7*j - 19. Let t be u(-3). Suppose -28 = -t*i + 50. Calculate the greatest common factor of 65 and i. 13 Suppose 3*r = -3*c - 6, -4 + 14 = -2*r. Calculate the greatest common divisor of c and 147. 3 Suppose 8 = 4*r + 4. Suppose 3 = -2*q + r. Let v be (4 - q)*(20 - 0). What is the greatest common divisor of v and 25? 25 Let o be -2 + -2 - -8 - -11. Let c = -18 + 24. Let q be c/4 + 327/2. Calculate the highest common factor of q and o. 15 Suppose -2*f + 22 = h - 4*f, 0 = -4*h - 5*f + 140. What is the highest common factor of h and 15? 15 Let n(a) = a + 15. Let g be n(4). Calculate the highest common factor of g and 152. 19 Let x = 80 - 57. Let z
{ "pile_set_name": "DM Mathematics" }
t is n rounded to 6 dps? 0.000007 Let w = 515 - 442.7. Round w to 0 decimal places. 72 Let k be ((-8)/6 - -1)*-6. Let x(j) = -2*j - 6*j - 8 + 18 + j - 299999*j**k. Let w be x(5). Round w to the nearest one million. -8000000 Let d = -322.452805 - -31.453064. Let u = -291 - d. What is u rounded to five decimal places? -0.00026 Let z = -158391 + 109191. Round z to the nearest one thousand. -49000 Let o = -705 - -705.00439. What is o rounded to 4 dps? 0.0044 Let y = 1067855341 - 1067855341.611999277. Let g = -0.612 - y. Round g to seven dps. -0.0000007 Let a(v) = 4119*v + 9886*v + 313 - 318. Let r be a(1). What is r rounded to the nearest 1000? 14000 Let y = -105 - -106.36. Let j = y + 0.24. What is j rounded to 0 decimal places? 2 Let o(m) = 70035*m**2 + 64*m - 7. Let q be o(3). Round q to the nearest 100000. 600000 Let y = -12984.93455696 + 145244.08455912. Let v = -132259.69 + y. Let i = v + 0.54. Round i to 7 dps. 0.0000022 Let g be (-43256)/(-10)*(-10)/(-2). Suppose -5*x - 3*p - 16924 = -9*x, 4*x = 4*p + 16928. Suppose g = -2*i + x. Round i to the nearest one thousand. -9000 Let v = 0.6 - 0.600000813. What is v rounded to 7 decimal places? -0.0000008 Let h = -37099.00145 - -37110. Let g = 11 - h. Round g to four dps. 0.0015 Let d be (-8)/2*(2 + -3). Suppose d*l - 20 = 3*a, 5*l - 38 + 13 = 2*a. Suppose -l*k = 88 - 478. What is k rounded to the nearest ten? 80 Let j = -0.81 + 0.807407. Round j to four decimal places. -0.0026 Suppose -4*t + 2030 = 3*w, 2*w - 657 = -t - 147. What is t rounded to the nearest 10? 510 Let x = -518.43 - -523. Round x to the nearest integer. 5 Suppose -6063980 = 2*v - 5*a, 14*a - 13*a + 6064004 = -2*v. What is v rounded to the nearest one hundred thousand? -3000000 Let j = -0.5004 - -0.1321. Let f = 0.38 + j. What is f rounded to three decimal places? 0.012 Suppose 0 = 4*u - 3*u + 5*j + 16, 0 = 2*j + 8. Let r be ((-42260)/(-6))/(5/15). Suppose u*d - r = 122870. Round d to the nearest 10000. 40000 Let o(p) = 180*p - 21. Let r be o(10). Suppose -3*x - r - 27921 = 0. Round x to the nearest 1000. -10000 Let h = -600.235 - -10952.933. Let m = h - 10306.69721. Let f = -46 + m. Round f to 4 dps. 0.0008 Let z be 215262/(-4)*24/(-18). Let s = z + 238246. What is s rounded to the nearest ten thousand? 310000 Let a = -19.35 + 24.782. Round a to zero dps. 5 Let c(u) = 1972*u. Let r be c(-1). Let t = 3084 - 1702. Let b = t + r. Round b to the nearest one hundred. -600 Let t = -0.01717 + 0.0171702263. What is t rounded to 7 dps? 0.0000002 Let u = -0.1 + 1.7. Let y = u + -5.1. Let m = 1.8 + y. Round m to 0 decimal places. -2 Let f = 729.0002092 + -729. What is f rounded to five decimal places? 0.00021 Let c = 16 + -1. Suppose c = -4*y + 7*y. Suppose 856746 = 4*l - y*x + 312761, -2*l = -4*x - 271988. What is l rounded to the nearest 10000? 140000 Let k(o) be the first derivative of 9/2*o**2 + 7 + 10*o. Let b be k(4). Round b to the nearest ten. 50 Let i = -1.088 - 2.414. What is i rounded to the nearest integer? -4 Let x = -1510.99998299 + 1511. What is x rounded to seven decimal places? 0.000017 Let v = 239539 + -1118539. What is v rounded to the nearest ten thousand? -880000 Let u = -73.1374339343 + 0.1374345643. Let p = u - -73. What is p rounded to seven dps? 0.0000006 Let h = 4.008109 - 87.008273. Let r = -88.8 + 5.8. Let t = h - r. Round t to five decimal places. -0.00016 Let w = 1 + -0.68. Let g = w + 25.68. Let b = 26.0096 - g. Round b to three decimal places. 0.01 Let b(r) = 36290*r - 180. Let m be b(2). What is m rounded to the nearest 10000? 70000 Let n = -5.61 + 5.592. Round n to two decimal places. -0.02 Let u(l) = l**2 - 5*l - 8. Let r be u(7). Let s(g) = g**2 - 8. Let q be s(r). Suppose -192 = b + q. What is b rounded to the nearest 100? -200 Let z(j) = -152133*j - 463. Let g be z(-11). Round g to the nearest 100000. 1700000 Let g(k) = 14*k + 1. Let a(z) = z + 1. Let s(i) = 5*a(i) + g(i). Suppose -4*m + 32 = 8. Let x be s(m). What is x rounded to the nearest 100? 100 Let s = -20.03 - -20.03000257. Round s to six dps. 0.000003 Let m = -121418 + 121423.0063. Let o = -5 + m. What is o rounded to three decimal places? 0.006 Let v = -16.5 - -15. Let q = 6.335984 - 7.8359842. Let z = v - q. Round z to 6 decimal places. 0 Let c = -2262 + 1596. Round c to the nearest 10. -670 Let k(s) be the second derivative of -29*s**4/2 + s**3/6 - s**2 - 15*s. Let v be k(-2). Round v to the nearest one thousand. -1000 Let j = 229 - 80. Let u = j + -149.174. What is u rounded to 2 dps? -0.17 Let q = 17.972 + -18. Let y = -5.372 + q. What is y rounded to the nearest integer? -5 Suppose 0 = 2*m - 0*m - 936. Suppose w = -4*f - m, 0 = 3*w - 2*f + 622 + 754. What is w rounded to the nearest one hundred? -500 Let t = 23 - 25.6. Let j = t - -2.59952. Round j to 4 decimal places. -0.0005 Let t(i) = -58247*i + 13. Let j be t(-6). Suppose z = -j + 2719495. What is z rounded to the nearest 100000? 2400000 Let b be 20/6*(-714770208)/(-5). Let a = b - 196013462. Let g be a/15 + 4/(-6). What is g rounded to the nearest one million? 19000000 Let b = 5.9078 - 5.96. Round b to three dps. -0.052 Let w(o) be the third derivative of -6*o**2 + 1223/60*o**5 + 0*o + 0*o**3 + 0 + 1/6*o**4. Let j be w(2). Round j to the nearest one thousand. 5000 Let a = -7.8 - -6.93. Let f = 523 + -523.674. Let l = a - f. Round l to two dps. -0.2 Let k(v) = 5*v**2 - 4*v - 8 - 2*v + v - v**3. Let f be k(8). What is f rounded to the nearest one hundred? -200 Let q(p) be the first derivative of -p**2/2 - 3*p + 5. Let s be q(-3). Suppose 5*k + 3386 - 336 = s. What is k rounded to the nearest one hundred? -600 Let c = -6560 + 6552.0495. Let j = 0.0105 + c. Round j to 0 dps. -8 Let q = 456909 + -456881.0031. Let k = -41 - -69. Let l = q - k. What is l rounded to three decimal places? -0.003 Let r = 20.4 - -6.6. Let g = r + -10. Let u = -16.99999943 + g. What is u rounded to seven dps? 0.0000006 Let n = 0.58 + -30.58. Let m = n + 29.9989. What is m rounded to 3 decimal places? -0.001 Suppose -y - 4461 = -2*m, 6*y = 3*m + 10*y - 6686. What is m rounded to the nearest one thousand? 2000 Let y = 2.8 - 2.8081. Let w = y + 21.3081. What is w rounded to the nearest integer? 21 Suppose -4*p + 3*z = 5*z - 34, -4*p + z + 31 = 0. Suppose l - 5*l = -p. Let i be 12299999 + (-4 - -3) + l. What is i rounded to the nearest one million? 12000000 Let j = 1108 + -1107.99319. What is j rounded to 4 decimal places? 0.0068 Let u be (-112856)/18 + 2*(-2)/18. What is u rounded to the nearest 100? -6300 Let i = -0.27697 - 0.922555. Let b = 1.2 + i. What is b rounded to 5 decimal places? 0.00048 Suppose 4*l = -t + 169, -6*t = 3*l - 7*t - 118. Suppose l*y = 46*y + 229500000. What is y rounded to the nearest one million? -46000000 Let i = 45979.09 - 1215.59. Let q = 44763.3990203 - i. Let l = q + 0.101. What is l rounded to 6 decimal places? 0.00002 Let x be (-2)/(-8) - 1005/(-60). Suppose -y - 6*r + 3*r + x = 0, 3*r - 21 = -3*y. Let n be 0 + y - 138*-21. Round n to the nearest 1000. 3000 Let l be 1636/((-4 - -3) + 3). Suppose -m = 3*b - l, -4*b = -5*m + 6698 - 2627. Round m to the nearest one hundred. 800 Suppose 94747 + 90535 = 3*d + g, -3*g - 308794 = -5*d. What is d rounded to the nearest one thousand? 62000 Let f = -3529930 + 3529943.9999984. Let s = 0.12 - -13.88. Let j = s - f. What is j rounded to 6 decimal places? 0.000002 Let j = 0.325 + -0.3632. What is j rounded to three dps? -0.038 Let r(k) = 115001*k - 1. Let p be (-8)/56 + 8/7. Let g be r(p). What is g rounded to the nearest 10000? 120000 Let z = -342.6 - -212. Round z to the nearest one hundred. -100 Let c = 86 - 86.315. What is c rounded to 1 decimal place? -0.3 Let g(c) = -219594*c + 30. Let u be g(-5). What is u rounded to the nearest 100000? 1100000 Let u = 33 + -40. Let s = 7.0044 + u. Round s to 3 dps. 0.004 Let l = -35 - -33. Let n(j) = -81251*j**3 - 2*j**2 - 2*j - 4. Let g be n(l). Round g to the nearest 100000. 700000 Let p = 16 + -15.6. Let d = p - 0.52. Let n = 0.1034 + d. Round n to 3 dps. -0.017 Let l be (5 + (-68)/20)/(2/(-7075)). What is l rounded to the nearest 1000? -6000 Let j = -14.6 + 0.6. Let s = j - -13.77. Round s to 1 decimal place. -0.2 Let z be ((-2526)/(-15))/(1/(-5)). Let c = 1902 + z. Round c to the nearest one hund
{ "pile_set_name": "DM Mathematics" }
Solve 0 = 3*t - 4*n - 17, -126*n + 46*n + 79*n = 2*t + 7 for t. -1 Solve -2*m - 15 = 7*c, 3*m - 17 = 5*c + 6*m for c. -1 Solve 0 = 4*o + k + 7, 78*k = -5*o + 76*k - 5 for o. -3 Solve w + 30 = q + 33, 0 = -4*q - w + 3 for q. 0 Solve 11 = -2*f - 3*a + 14, 15 = 4*f + 3*a for f. 6 Solve -9 = 3*w + 3*m, 56*m - 58*m - 15 = 5*w for w. -3 Solve -200*b + 199*b + 5 = -o, b + 10*o + 39 = 0 for b. 1 Solve -2*p - 2 = -678*a + 677*a, 4*p + 3*a + 24 = 0 for p. -3 Solve -2*y + 30 = -l, -26350*l = -26353*l - 3*y + 27 for l. -4 Solve 0 = 49*d - 51*d + 2*r - 14, 5*r = 3*d + 25 for d. -5 Solve 1 = -f + 2*s, 50*f + s = 49*f + 2 for f. 1 Solve -3*q - 54 = -2*l - 24, -5*q - 47 = -3*l for q. -4 Solve 3*a + 1645 = -2*r + 1655, -16*r = 4*a for a. 4 Solve 12*p - 680 + 716 = 2*x, -3*x - 12 = 4*p for p. -3 Solve -10 = -5*l, -6*x + 9 = -2*x + l + 7 for x. 0 Solve 0 = -k - 2*r + 10, 15 = 3*k - 974*r + 977*r for k. 0 Solve -p + 51*o = 46*o - 5, 0 = p - 7*o - 7 for p. 0 Solve 5*l - 541*i + 538*i = -13, -4*l + 16 = 2*i for l. 1 Solve -184*n - 3*c = -179*n - 9, 0 = -3*n - c + 3 for n. 0 Solve 2*b + 0*o = 6*o, 0 = 3*b + 5*o + 16663 - 16677 for b. 3 Solve -40 = -4*c - 3*j, -148*j + 143*j + 41 = 3*c for c. 7 Solve 0 = -5*s + 2*h + 20, -17*s + 4*h = -14*s - 12 for s. 4 Solve 5*v + 8*d = 61, v + 89*d + 27 = 93*d for v. 1 Solve -5*h + 16*h + 17*k + 105 = 10*h, 5*k + 27 = h for h. -3 Solve -3*v + 6 = 3*l, -5919*v + 4*l = -5920*v + 5 for v. 1 Solve 3*s + 3 = 94*y - 98*y, 0 = 2*s - 5*y - 21 for s. 3 Solve -150*d + 34 = 8*a - 152*d, -4*a - 4*d + 32 = 0 for a. 5 Solve -206*s + 5*h + 10 = -201*s, 0*s - 5*h - 34 = 3*s for s. -3 Solve -4*d = -4*b - 4, -7*b + 5*b + 4*d = -2 for b. -3 Solve -2 = -l - f, 131 - 109 = 4*l - 3*f for l. 4 Solve -66*a = -62*a + 5*x - 47, -4*x - 20 = -4*a for a. 8 Solve -53*x = 2*f - 48*x - 34, 3*f - x = 0 for f. 2 Solve 30 = -3*r - 17*p + 22*p, 7 = r + 4*p for r. -5 Solve -j + 5*u - 4 = 0, -17 + 9 = 2*j + 3*u for j. -4 Solve 2*g - 5*k + 45 = 0, 4*g = -3*k + 49 + 4 for g. 5 Solve -y + 8 = -4*m - 0, 2*y = -424 + 432 for m. -1 Solve -4*w - 12 = 0, -2*p - 160*w + 156*w - 22 = 0 for p. -5 Solve 8 = 1604*j - 1608*j - 5*i, -i = -4*j - 32 for j. -7 Solve 2456 - 2463 = -f - 4*i, -5*f + i = 28 for f. -5 Solve q - 4*c = -4, -c = -550*q + 547*q - 1 for q. 0 Solve -2*p + 2*n + 8 = 0, 3*p - 13 = 2*n - 2 for p. 3 Solve -5*u - 2*x = -19, -3*u + 4*x - 1660 + 1583 = 0 for u. -3 Solve -4*j - 22 = -4*p - 2, 0 = 73*j - 69*j for p. 5 Solve -355*t + 358*t + 11 = -4*s, 0 = -3*t + 2*s - 17 for t. -5 Solve 4*o - 4*v = 40, -15*v + 7 = -16*v for o. 3 Solve 9*n - 57 = 3*s, 4*s - 19 = 5*n - 60 for s. -4 Solve -3*g = n + 16, 2468*g - 2462*g + 46 = 5*n for g. -6 Solve -19 = z + 4*o, 5*o + 361 - 336 = 0 for z. 1 Solve 50*d = -z + 47*d - 5, 4*z = -10*d - 14 for z. 4 Solve 3*d + 39 = 5*z, -4*z + 36 = 9*d - 13*d for d. -3 Solve 0*q + 78 = -28*y + 3*q, 6*y - 5*q - 10 = 6*y for y. -3 Solve 4*d = -2*r + 83 - 61, 2*d - 10 = 0 for r. 1 Solve 0 = 4*k + 3*o - 13, 4*k - 182*o + 177*o - 21 = 0 for k. 4 Solve 5*w = -d - 21, -19*d - 4*w = w - 51 for d. 4 Solve 1168*n - 10 = 5*d + 1171*n, d - 4*n = -25 for d. -5 Solve 3*o = 2*y - 48 + 29, 3*y = 4*o + 29 for o. 1 Solve -2 = 61*u - 58*u + 2*g, 2*g = -2*u - 4 for u. 2 Solve -r + 379*k = 364*k + 73, 0 = 3*r + 3*k - 21 for r. 2 Solve 0 = -3*k + 4*m - 71, -47*k + 42*k + 95 = 4*m for k. 3 Solve 9*r - 111 = 4*p, -216 = 5*r - 3*p - 280 for r. 11 Solve 4*t + 5*h = 0, 99*t + 3*h + 17 = 100*t for t. 5 Solve 22*g = 3*i + 17*g - 24, 0 + 0 = 3*g for i. 8 Solve 2*u = 2*t - 10, 15 = -585*t + 586*t - 3*u for t. 0 Solve -a + 20 = 4*g, g = 51*a - 46*a + 5 for g. 5 Solve 0 = -3*k - 2*a + 10, -6 = -k - 1733*a + 1732*a for k. -2 Solve 0 = -3*y - 4*o - 22, -788*y - 16 = -790*y + 5*o for y. -2 Solve 3*b + 6 - 4 = 2*b, 0 = 4*x - 10*b + 36 for x. -14 Solve 152*u - 148*u = b, 3*b + 4*u + 16 = 0 for b. -4 Solve 3*v - 15*c + 58 + 44 = 0, 11 = 2*v + 2*v + c for v. 1 Solve -21*f + 24*f - s = -4, 3*s = -4*f - 27 for f. -3 Solve 16 = -4*o, -131*r - 4*o = -132*r + 22 + 2 for r. 8 Solve 2*z + 4*g - 2 = 0, -95*g + 99*g = 8 for z. -3 Solve -30 = -5*k - 2*t, 82*t - 85*t = 0 for k. 6 Solve 4*z - 7*g + 9 = 0, 0 = -z + 4*g - 8 - 1 for z. 3 Solve 4*o - 16 = -4*t, -2*t + 5*o + 100 - 92 = 0 for t. 4 Solve -18 = 3*n - 3*k, 1020*k - 1025*k = 4*n + 24 for n. -6 Solve -f - 4 = -2*s, 7*s + 85 = -2*f + 121 for s. 4 Solve -49*j + 51*j + 9*v + 3 = 0, 5*j = 4*v - 87 for j. -15 Solve l + 109 = -5*w, 29*w - 24*w - 3*l = -93 for w. -21 Solve -8*v + 14 = 3*f, f + 0 = -4*v + 6 for f. 2 Solve -5 = 2*g + o, 95 = -o + 98 for g. -4 Solve 5*t = 5*y - 20, 4*y + 3485 = -3*t + 3501 for y. 4 Solve -1 = 4*q - 3*i - 8, 2*q = 14*i - 34 for q. 4 Solve -m = -3*f - 4, -f - 40 = 4*m - 30 for m. -2 Solve 63 = -5*p + y + 55, 2*p - 2*y = 0 for p. -2 Solve 5*i + 2*a - 14 = 12, -8*a + 4*a = -3*i for i. 4 Solve 0 = p + 229 - 243, -1 = -5*a + p for a. 3 Solve -t = -3*m + 20, 56*m + 58 = 57*m - 5*t for m. 3 Solve -2*n + 690*h = 689*h + 19, -3*n = -3*h + 48 for n. -3 Solve 2*l = -58*v + 8, 94*v - 97*v = -5*l + 20 for v. 0 Solve 14096*u - 26 = -x + 14098*u, -3*u - 34 = x for x. 2 Solve z = -3*u + 848 - 863, 4*u = 2*z for z. -6 Solve 2*x + 1185*s = 1190*s + 26, 7*s + 40 = x for x. -2 Solve 0 = -4*o + 3*m + 3, 635*o + 3*m = 640*o - 3 for o. 0 Solve 42*t - 38*t = 3*j - 9, 0 = 23*t for j. 3 Solve 8*s + 9 = -2*f + 3*s, 2*s = 5*f + 8 for f. -2 Solve 5*m = 4*b - 29 + 53, -5*b - 30 = 2*m for b. -6 Solve 2*m + 20*d + 52 = 8*d, 4*m + 2*d + 125 = 109 for m. -2 Solve -5209*d + 5211*d - 3*c - 4 = 0, -4*c = 3*d + d + 32 for d. -4 Solve x + k = 1, 4*x - 2*k + 1399 - 1379 = 0 for x. -3 Solve 37*y = 41*y - c + 28, -35*c + 270 = 2*y for y. -5 Solve 43*r - 2*j + 5 = 42*r, 0 = 5*r + 5*j + 10 for r. -3 Solve b + 0*b - 2*p + 146 = 154, 0 = 3*p + 15 for b. -2 Solve 5*p - 1 = -g, -352*p + 350*p - 10 = 3*g for p. 1 Solve -2*f = -t, 23*t = -3*f + 27*t + 5 for f. -1 Solve 7*j - 46 = -3*j + 7*j - 4*q, -13 = -13*q for j. 14 Solve -4*j - 35 = 3*r, 498*r - 20 = 500*r + 2*j for r. -5 Solve -5*q + f + 7 = -7*q, -q = -f - 4 for q. -1 Solve -4*a = a - 2*q - 5, 5*a + q + 25 = 0 for a. -3 Solve 4*o + 8 = 0, -y - 136*o + 139*o = -5 for y. -1 Solve 0 = -s - 5*q - 27 + 37, -5*q = -s - 20 for s. -5 Solve 4*g = -12, -4*g = -2*s + 89 - 79 for s. -1 Solve 4*p + o - 12 = 0, -93*p - 6 = -95*p - 6*o for p. 3 Solve -3*b - 3 = 5*a, -249*b + 2*a + 3 = -252*b for b. -1 Solve -3*s - 2*s + 5 = 0, 12*s = 2*m + 15*s - 7 for m. 2 Solve -2*n = -8*z + 7*z + 6, -n - 13 = -3*z for z. 4 Solve 4*y - 2 = 5*i - 15, 2*i + 0*y + 2 = 4*y for i. 5 Solve 0 = b - 2*t + 3, 3*b + 2*t + 5 = 28 for b. 5 Solve -50*x + 5 = -7*q - 45*x, -q - 3*x = 23 for q. -5 Solve 4*v + 556*q - 50 = 550*q, -2*v + 47 = 5*q for v. -4 Solve -4*u + 4 = -1548*d + 1544*d, 2*u - 4*d = 10 for u. -3 Solve 4*x - 4*t - 24 = 0, -5*x - 5*t + 54 - 104 = 0 for x. -2 Solve -83 = n + 4*m - 72, -2*n + 5*m = 9 for n. -7 Solve s = 117*y - 113*y - 5, 0 = 5*y + 4*s - 22 for y. 2 Solve 91*n - 96*n - 4*i + 17 = 0, -3*i = n - 21 for n. -3 Solve 2*p = -10, -5*p = 7*y + 9 + 2 for y. 2 Solve 0 = 3*j + 3*o + 18, -431*j + 2*o + 12 = -434*j for j. 0 Solve 4*g - 2*j + 0*j = -g - 3, -3 = 3*j for g. -1 Solve -12*i - 6 = -2*t - 14*i, 0 = -t - 5*i + 11 for t. 1 Solve -2*v + 3*j - 5 = 0, -2*j + 18 = -3805*v + 3800*v for v. -4 Solve 5*o + 4*f + 4 - 20 = 0, -3*o = -3*f + 12 for o. 0 Solve -b + 3*t = 27, 3*b - 57*t = -55*t - 25 for b. -3 Solve -3*j + 10 + 8 = -3*w - 9, 12*w + j + 17 = 0 for w. -2 Solve 0 = -3*z - 4*o + 22, -258*z - 3*o - 9 = -260*z for z. 6 Solve -2*p + 3*h = -8, -56*p + 59*p + 32*h + 134 = 0 for p. -2 Solve -k - 2*o - 17 = 10, 0 = 3*k + 50*o + 653 for k. -1 Solve -497 + 502 = c + y, -2*y - 2 = 5*c for c. -4 Solve 2*m - 3910*k + 1 = -3909*k, -5*k = -45 for m. 4 Solve 577*y - 9*i = 575*y + 1, 5*i - 7 = 3*y for y. -4 Solve 0 = -3*k + 4*o - 2, -31*k - 13 = -5*o - 65 for k. 2 Solve 5*c + j - 10 = 0, -4*c - 119*j - 31 = -126*j for c. 1 Solve q + 1474 = 2*b + 1468, 15 = 5*q - b for q. 4 Solve -17*t - 7 = 3*g - 15*t, 14 = -5*g - t for g. -3 Solve -c + 3*s = 6, 33*c - 4*s - 6 = 34*c for c. -6 Solve 0 = -3*s + 3*j - 45, -71*j + 74*j - 58 = -25 for s. -4 Solve -14*l - 10*l = -25*l + 1, -r + 4*l = 4 for r. 0 Solve -8 = -12*s - 5*y, -4*s + 4 = 3*y - 4 for s. -1 Solv
{ "pile_set_name": "DM Mathematics" }
(j) + 7*s(j). Determine o so that h(o) = 0. 4 Suppose 0*x - 2/9 - 2/3*x**4 + 4/9*x**5 + 8/9*x**2 - 4/9*x**3 = 0. Calculate x. -1, -1/2, 1 Let g be (-90)/(-21) + 2/(-7). Suppose -8 = -4*q + 2*q + 4*c, 2*c + 10 = g*q. Factor -8/7*u + 6/7*u**3 + 0 + 2/7*u**4 + 0*u**q. 2*u*(u - 1)*(u + 2)**2/7 Let o = 132 + -127. Let u(h) be the second derivative of 0*h**o + 0 + 1/15*h**6 - 1/6*h**4 - 2*h + 0*h**3 + 0*h**2. Find b, given that u(b) = 0. -1, 0, 1 Let u be 20*((-11)/5 + 3). Let j = u + -13. Factor 8/5 - 18/5*w**2 - 14/5*w**j + 24/5*w. -2*(w - 1)*(w + 2)*(7*w + 2)/5 Let q = 26720/3003 - 1808/195. Let g = 2/77 - q. Suppose -g + 4/5*v - 2/5*v**2 = 0. Calculate v. 1 Suppose 6*g = -2*g + 16. Factor -b**g + 5/2*b**3 + 0 + 0*b. b**2*(5*b - 2)/2 Let i(p) be the second derivative of p**6/240 - p**2/2 - 2*p. Let q(a) be the first derivative of i(a). Factor q(u). u**3/2 Let u be (2 - 0) + (0 - 0). Factor -1 + 0*r**u - 2 - 3*r**2 + 6*r + 0. -3*(r - 1)**2 Let i(g) be the second derivative of -g**5/20 - 3*g**4/4 - 9*g**3/2 + 5*g**2/2 + 3*g. Let c(u) be the first derivative of i(u). What is r in c(r) = 0? -3 Suppose 5*x - 2 = 4*x. Let c(z) = z**3 + 12*z**2 - 12*z + 21. Let t be c(-13). Factor t*b**2 + 15*b**4 - 4*b**x - 19*b**4 - 2*b + 2*b**5. 2*b*(b - 1)**3*(b + 1) Let c(f) be the first derivative of f**4/12 + f**3/9 - f**2/3 + 7. Factor c(r). r*(r - 1)*(r + 2)/3 Solve -2/3*a + 1 - 1/3*a**2 = 0 for a. -3, 1 Solve -5/3*o**2 + 1/3*o + 2/3*o**3 + 2/3 = 0 for o. -1/2, 1, 2 Let v = -21 + 24. Let w(q) be the first derivative of 1/14*q**4 + 2/7*q**v - 2 - 1/7*q**2 - 4/35*q**5 - 2/7*q. Let w(j) = 0. Calculate j. -1, -1/2, 1 Let n(g) be the first derivative of -g + 1/5*g**5 + 0*g**3 - g**2 - 9 + 1/2*g**4. Factor n(d). (d - 1)*(d + 1)**3 Let o(q) be the second derivative of -q**6/20 + 3*q**5/5 + q**4/8 - 2*q**3 + 3*q. Determine d so that o(d) = 0. -1, 0, 1, 8 Let m(q) be the second derivative of 0 + 0*q**2 - 1/15*q**6 + 0*q**3 - 3*q - 1/5*q**5 - 1/6*q**4. Factor m(o). -2*o**2*(o + 1)**2 Let q be -6*(1/(-2) + -1). Let j(m) = m - 6. Let k be j(q). Suppose -3*t + 0*t**4 - 2 + 7*t + 2*t**4 - 4*t**k = 0. What is t? -1, 1 Suppose 5*i = 25, 3*s - i = -3*i + 19. Factor -k**2 - 5*k**s + 3*k**3 + k**3. -k**2*(k + 1) Let c = 0 + 7. Let o = 7 - c. Factor -1/2*w + 1/2*w**2 + o. w*(w - 1)/2 Let r(w) be the second derivative of -w**6/135 - w**5/90 + w**4/18 + 5*w**3/27 + 2*w**2/9 - 6*w. Determine x so that r(x) = 0. -1, 2 Let j(f) = -20*f**2 + 36*f + 50. Let v be (-2 + 1)*2*22. Let r(i) = 3*i**2 - 5*i - 7. Let d(p) = v*r(p) - 6*j(p). Factor d(t). -4*(t - 1)*(3*t + 2) Let f(c) be the first derivative of -5*c**7/126 + 7*c**6/90 - c**5/30 + 6*c + 3. Let u(g) be the first derivative of f(g). Factor u(r). -r**3*(r - 1)*(5*r - 2)/3 Let v(j) be the second derivative of j**5/25 - j**4/15 - 2*j**3/15 + 2*j**2/5 - 4*j. Factor v(g). 4*(g - 1)**2*(g + 1)/5 Let q(t) be the second derivative of 0 + 4/3*t**3 + 3*t + 4*t**2 + 1/6*t**4. Factor q(l). 2*(l + 2)**2 Let c(k) be the second derivative of k**4/8 - 2*k**3 + 12*k**2 + 5*k. Factor c(h). 3*(h - 4)**2/2 Determine d, given that -3*d**2 + 3*d**2 - d**2 - 22*d + 7*d**2 - 8 = 0. -1/3, 4 Let k(d) be the second derivative of 2*d**6/45 - 4*d**5/15 + 4*d**4/9 + 3*d. Factor k(s). 4*s**2*(s - 2)**2/3 Let k be (1/35)/((-2)/65). Let t = -3/7 - k. Determine m, given that -1/2*m + 1/2 + 1/2*m**3 - t*m**2 = 0. -1, 1 Suppose -5*v = -2*r - 14, 0*r = r + 2*v - 11. Factor 27*g**3 + 2*g**3 + r*g**5 - g - 7*g**3 + 14*g**4 + 12*g**2 - 2. (g + 1)**3*(g + 2)*(3*g - 1) Let z = -16 + 21. Let h(j) be the third derivative of 0*j - 1/60*j**4 + 1/75*j**z + 1/300*j**6 - 2/15*j**3 + 0 + j**2. Factor h(d). 2*(d - 1)*(d + 1)*(d + 2)/5 Suppose -12 = -4*o - 0. Factor -1/3*r + 0 - 1/3*r**2 + 1/3*r**4 + 1/3*r**o. r*(r - 1)*(r + 1)**2/3 Let t(l) be the third derivative of 3*l**2 + 0*l**3 - 1/24*l**4 + 0*l - 1/60*l**5 + 0. Factor t(x). -x*(x + 1) Determine a, given that -4/3*a**2 + 2/3*a - 2/3*a**3 + 4/3 = 0. -2, -1, 1 Let t be -3*2/(-6) - 2. Let g be (t/(-3))/(4/6). Factor g*v**2 - 1/4*v - 1/4*v**3 + 0. -v*(v - 1)**2/4 Suppose 4*y = 17 - 1. Suppose 1 = 2*j - 3. Let -2*a - j*a**2 + y*a + a**2 = 0. Calculate a. 0, 2 Let d(j) be the first derivative of j**4/14 + 4*j**3/21 - 5*j**2/7 - 12*j/7 + 15. Find c, given that d(c) = 0. -3, -1, 2 Suppose 5*h = 16 + 9. Let s(b) be the third derivative of -1/48*b**4 + 1/240*b**6 - 3*b**2 + 1/420*b**7 + 0 - 1/120*b**h + 0*b**3 + 0*b. Solve s(y) = 0 for y. -1, 0, 1 Suppose 12 = 5*y - 13. Suppose 0 = j - y*j. Factor j*d**4 + 2/3*d**3 + 0 + 0*d**2 - 1/3*d - 1/3*d**5. -d*(d - 1)**2*(d + 1)**2/3 Find p such that 2 - 8*p**2 + 7*p**3 - 2 - 11*p**3 - 4*p = 0. -1, 0 Let d(c) be the third derivative of -c**7/840 - 7*c**6/480 - c**5/48 + 7*c**4/96 + c**3/4 - 3*c**2. Suppose d(o) = 0. Calculate o. -6, -1, 1 Let u(w) = 4*w**2 + 30*w + 62. Let r(p) = 4*p**2 + 29*p + 61. Let c(n) = 2*r(n) - 3*u(n). Factor c(f). -4*(f + 4)**2 Let q = -18 + 21. Factor 14*z**2 + 3*z**q + 2*z - 8*z**2 + z. 3*z*(z + 1)**2 Let x(j) be the first derivative of j**4/2 + j**3 - j - 1. Factor x(a). (a + 1)**2*(2*a - 1) Let d(h) be the third derivative of -2*h**2 - 1/60*h**6 + 1/6*h**4 + 0 - 1/30*h**5 + 0*h**3 + 0*h. Factor d(z). -2*z*(z - 1)*(z + 2) Find z such that 2/5 - 2/5*z**2 + 0*z = 0. -1, 1 Let m(g) be the second derivative of 0*g**2 - 1/12*g**4 + 1/210*g**7 + 2*g + 0 - 3/100*g**5 + 1/150*g**6 - 1/15*g**3. Factor m(a). a*(a - 2)*(a + 1)**3/5 Let k = -1 - -5. Suppose 5*o - 9 = 2*f + 3, k*f + 4 = 0. Let 5*b**5 + b**4 - o*b**2 - 3*b + 5*b**4 - 2*b**5 - 4*b**2 = 0. Calculate b. -1, 0, 1 Let f be 8/(-8)*0/(-2). Let a(j) be the second derivative of j - 1/20*j**5 + f - 1/4*j**4 - 1/2*j**2 - 1/2*j**3. Find h such that a(h) = 0. -1 Let v(x) = -7*x**3 - 15*x**2 - 2*x + 2. Let r be v(-2). Let 2/9*l**r + 2/9 - 4/9*l = 0. Calculate l. 1 Let x(j) be the second derivative of -9*j**5/80 + j**4/3 + 31*j**3/24 + 3*j**2/4 + 51*j. Factor x(h). -(h - 3)*(h + 1)*(9*h + 2)/4 Let 0*b + 0 - 1/2*b**2 + 1/4*b**4 - 1/4*b**3 = 0. What is b? -1, 0, 2 Let c(b) be the second derivative of -b**8/840 - b**7/252 - b**6/540 + b**5/180 - b**3/2 + b. Let m(l) be the second derivative of c(l). Factor m(h). -2*h*(h + 1)**2*(3*h - 1)/3 Let d = -21 - -29. Let u be (d/6)/(2/12). Let -10/3*f**2 - 8/3 + u*f = 0. What is f? 2/5, 2 Let y be (-196)/(-18) - 7/(441/14). Determine z, given that -16/3*z - y - 2/3*z**2 = 0. -4 Let t(k) be the second derivative of -2*k + 0*k**3 + 1/96*k**4 + 0 + k**2 + 1/240*k**5. Let s(f) be the first derivative of t(f). Factor s(a). a*(a + 1)/4 Let x = -579347/1890 + 8222/27. Let c = x + 23/10. Factor -4/7*t**4 + 2/7*t**5 + 0 + 0*t**2 + 0*t + c*t**3. 2*t**3*(t - 1)**2/7 Let p be (-156)/(-10) + (-12)/20. Let s = p - 13. Solve 3/4*b**s - b + 1/4*b**4 + b**3 - 1 = 0 for b. -2, -1, 1 Let p(d) be the first derivative of 2*d**5/55 + d**4/22 - 2*d**3/33 - d**2/11 - 3. Solve p(t) = 0 for t. -1, 0, 1 Let l(z) be the first derivative of z**3/3 - z - 6. Find s, given that l(s) = 0. -1, 1 Let n(j) be the first derivative of 0*j + 4/15*j**5 + 2 - 4/9*j**3 + 0*j**4 - 1/9*j**6 + 1/3*j**2. Factor n(u). -2*u*(u - 1)**3*(u + 1)/3 Let a(o) = -o**4 - 3*o**3 + 10*o**2 - 6*o. Let v(k) = k**2 - k. Let p(n) = 5*a(n) - 30*v(n). Suppose p(w) = 0. What is w? -4, 0, 1 Factor 1/3*c**3 - 4/3*c + 0*c**2 + 0. c*(c - 2)*(c + 2)/3 Suppose -4*u + 7 = -1. Suppose 0 = 2*m - u*i - 8, 5*m - 4*i - 25 + 7 = 0. Determine n so that 0*n + 6/5*n**4 + m*n**3 + 4/5*n**2 + 0 = 0. -1, -2/3, 0 Let o(k) be the third derivative of k**8/504 + k**7/315 - k**6/180 - k**5/90 - 7*k**2. Factor o(n). 2*n**2*(n - 1)*(n + 1)**2/3 What is v in -2/5*v**2 + 48/5*v - 12/5*v**3 - 32/5 - 2/5*v**4 = 0? -4, 1 Let l(c) be the second derivative of -c**6/20 + 3*c**5/40 + 3*c**4/4 - c**3 - 6*c**2 + c. Solve l(v) = 0. -2, -1, 2 Let g be 2 + ((-754)/138 - -2). Let s = -3/23 - g. What is r in s*r - 2/3 - 2/3*r**2 = 0? 1 Suppose 0 = -2*w + 4. Let b be ((-1)/10*w)/(-1). Factor 1/5*u - 1/5*u**3 - 1/5*u**2 + b*u**4 + 0. u*(u - 1)**2*(u + 1)/5 Let y(d) be the second derivative of 0 + 0*d**2 - 1/84*d**4 + 1/1260*d**6 + 1/2*d**3 + d + 0*d**5. Let g(f) be the second derivative of y(f). Factor g(p). 2*(p - 1)*(p + 1)/7 Factor 10/9*p**2 + 0 - 2/9*p. 2*p*(5*p - 1)/9 Let 32*k**2 - 6*k - 2*
{ "pile_set_name": "DM Mathematics" }
44*w**2 in the form n + f*w**2 + i*w and give f. 71 Express -14*k + 63*k - 1 + 11*k as o*k + j and give o. 60 Rearrange 10494*y - 6 + 1 - 10503*y to the form z + v*y and give v. -9 Rearrange -11890*f**4 + 11959*f**4 + 0*f**2 - 2 + 2*f**3 + f**2 to the form n*f**2 + g*f**3 + k*f**4 + l + b*f and give k. 69 Rearrange 267*d + 528*d + 60*d to the form b + a*d and give a. 855 Express -86*l**2 - 90*l**2 + 2*l**4 + 177*l**2 - 2 + 3*l**3 in the form s*l + u*l**4 + q*l**3 + g*l**2 + o and give q. 3 Express -91*p - 3 + 2 + 14*p - 62*p - 3 as m + a*p and give m. -4 Rearrange (0*r - 6*r + 4*r)*(2 - 3 - 11)*(0 - 3*r + 0) to the form g*r**2 + y + p*r and give y. 0 Express 8 + 7*j**4 - 8 + (-68*j + 357*j - 102*j)*(j + 4*j - 4*j + j**3) in the form h*j**3 + n*j**2 + f*j**4 + b*j + m and give f. 194 Rearrange -1981 + 1981 - 13*v + 121*v to the form u + t*v and give t. 108 Express (-3*o + 0*o + 5*o)*(-5*o + o + 3*o) + (51 - 8*o - 113 + 72)*(1 - 2*o - 1) as d*o**2 + p*o + t and give p. -20 Rearrange -2 - 4*x**2 - 9*x**2 + 0*x**2 + (2*x - x + 0*x)*(3*x + 0*x - x) - 19*x**2 + 14*x**2 - 24*x**2 to h*x**2 + q + g*x and give h. -40 Express 15*k - 17*k + 3*k**3 + 5 + 3*k**3 + k**3 as f + l*k**3 + j*k**2 + t*k and give t. -2 Rearrange -97*y**2 + 23*y**2 - 4295*y + 4295*y to the form n + f*y**2 + p*y and give f. -74 Rearrange 147 + 3*k - k + 139 + 193 - 276 to the form d*k + b and give d. 2 Rearrange -3*z - 68*z**2 - 3*z - 3*z**3 + 2*z**3 + 22*z - 12*z to the form o*z**2 + f + m*z + p*z**3 and give m. 4 Rearrange -4*j**2 - 16*j**2 - 20 + 20 - 4*j**3 - 2*j to the form l*j**3 + x*j + h + a*j**2 and give a. -20 Express (3*t**3 - 5*t**3 + 0*t**3)*(3*t - 4*t + 3*t) + (43*t + 13*t**3 - 43*t)*(-6*t - 5*t + 0*t) in the form i*t**2 + g*t**3 + d*t**4 + y*t + w and give d. -147 Express (7 + 2 - 4)*(-5*y + 0*y + 3*y) + 105*y + 44*y - 224*y as u + h*y and give h. -85 Rearrange (4 - 2 - 4)*(-3*b + 5*b + 0*b)*(5 + 0 - 3 + (-6 + 4 + 4)*(1 + 4 - 4) + 4 - 5 + 0 + 0 - 3 + 2)*(-3*b + 4*b + 22*b) to h + z*b + i*b**2 and give i. -184 Rearrange 2*h**3 + 5898*h**2 - 3*h**3 - 3*h**3 + 3*h - 5896*h**2 to the form k*h**2 + x + r*h + l*h**3 and give x. 0 Express 18*h + 68*h**3 - 2*h**2 + 64*h**3 - 18*h + 14*h**3 as y*h**3 + l*h + f + s*h**2 and give y. 146 Express 8*b + 108*b**2 - 1 + 17*b + 100*b**2 - 207*b**2 - 2*b as j + v*b + f*b**2 and give j. -1 Express -27*d**3 + 1 - 274*d**2 + 32*d**4 - 35*d**4 + 269*d**2 + 0 as r*d**2 + k + s*d**3 + o*d**4 + u*d and give r. -5 Rearrange (-2*t - t**2 + 2*t)*(2*t - 46 + 45 + 19*t - t**2) to s*t**2 + h*t**4 + k*t + j*t**3 + q and give s. 1 Express 12 - 7*n - 2*n + 1 - 6*n + 6*n**2 + 9*n in the form q + h*n**2 + y*n and give h. 6 Express g**4 - g**2 - 454*g**3 + 916*g**3 - 4 - 458*g**3 - g as c*g + n*g**3 + x*g**4 + m*g**2 + a and give m. -1 Rearrange j - 358 + 129 - j - 2*j**3 + j**3 to m*j**2 + d + i*j**3 + k*j and give i. -1 Express 11*m - 45*m - 2*m - 72*m + 4*m - 2*m - 7*m + (m - m - 2*m)*(2 - 1 + 1) as g + s*m and give g. 0 Rearrange -1 + 3*w + 0*w + 46*w**3 - w + 49*w**3 to i*w**3 + x + h*w + k*w**2 and give i. 95 Rearrange (-2*w - w + 6*w)*(4*w - 6*w + 5*w)*(-2 + 1 - 1)*(2 + 1 - 19) to the form o + q*w**2 + d*w and give q. 288 Express -123*u - 116*u + 4*u + 55*u in the form w + d*u and give d. -180 Rearrange (g**2 + 3*g**2 - 5*g**2)*(-5 + g + 5) + g**3 - g**3 - 2*g**3 + 575*g**3 - 2384 + 2384 to b*g + a + y*g**2 + o*g**3 and give o. 572 Rearrange (2 + 0 + 0 + (0 - 2 - 2)*(3 - 5 + 1))*(-4*q + 3*q - q) to the form z + t*q and give t. -12 Rearrange -p**2 + 8*p**2 - 6*p**2 + 57 - 56 + 9*p**4 - 3*p**3 to w*p + h + s*p**3 + q*p**2 + a*p**4 and give h. 1 Rearrange -117*k - 137 + 83 + k**3 + 55 to c + d*k**2 + o*k**3 + l*k and give o. 1 Rearrange 2*m**2 + 8433*m - 4*m**2 + 3*m**2 - 8454*m to g*m**2 + y + b*m and give b. -21 Rearrange (-631 - 751 + 1618)*(4*h + 0*h - 2*h) to the form z*h + n and give z. 472 Express 685 + 250*w**2 - 343 - 341 as v + m*w + p*w**2 and give p. 250 Express ((-4*n + 6*n + 0*n)*(-3 + 2 + 0) + 0*n - 4*n + 2*n + (-2 + 1 + 2)*(-1 + 1 - 2*n))*(-397 + 156 + 204) in the form h*n + q and give h. 222 Rearrange -696*i - 1051*i**2 - 1 - i**3 + 1051*i**2 to the form v*i**2 + u*i**3 + b + z*i and give b. -1 Express 186*d + 478 - 478 in the form y*d + f and give y. 186 Express p + 7*p + 11*p**2 - 2*p - 6*p + 3 in the form j + m*p + z*p**2 and give j. 3 Rearrange (-2 + 1 + 3)*(217*n - 439*n + 215*n - 6)*(-2*n - 2 + 2) to the form j*n**2 + d*n + c and give j. 28 Rearrange o**3 + 0*o**2 + 2*o + 5*o**2 + 1517 - 1515 to the form a*o**2 + i*o**3 + f*o + q and give f. 2 Rearrange -20 - 4*u + 14 - 8 to the form x*u + l and give x. -4 Express (2 - 1 + 1)*(6*t - 2*t - 2*t)*(111 - 111 - 10*t**2) - t**3 - 2*t**3 + 2*t**3 - t as c*t + y + m*t**3 + w*t**2 and give m. -41 Express (-801*s**2 + 72*s**2 - 77*s**2)*(-1 + 0 + 2) + (-3*s + 3*s + s)*(-3*s + 2*s + 3*s) in the form t + c*s + f*s**2 and give f. -804 Rearrange 2*n + 1 + 11*n**3 + 4*n**3 + 14*n**3 + 2*n**2 - 7*n**3 to y + i*n**3 + c*n + v*n**2 and give y. 1 Express -6*f + 0*f + 4*f - 32*f**2 - 2 - f**3 + 41*f**2 in the form p*f**2 + q + m*f + i*f**3 and give m. -2 Rearrange 1355*v - 2667*v + 14 + 1330*v to the form b*v + g and give g. 14 Express (-2 + 1 - 2)*(6*l - 11*l - 2*l)*(-1 + 31 - 8) as u + c*l and give c. 462 Rearrange 48*a - 16*a - 17*a - 54 - 20*a to the form y*a + g and give g. -54 Express -5*c + 198 + 2*c**4 - 197 + 7*c + 7*c**4 as l*c**2 + g*c + h + w*c**3 + t*c**4 and give g. 2 Express -1 + 13302*u**3 - 5*u**2 + 5*u**2 + 5*u - 13320*u**3 in the form s*u**3 + d*u + f*u**2 + a and give a. -1 Express (-173 + 256 - 122)*(2 - 4 + 4)*(g - 2*g - 2 + 0) in the form a + k*g and give k. 78 Express 4405*f**3 - 2*f**2 + 5*f**2 - 4291*f**3 in the form z*f**3 + y*f + k + n*f**2 and give n. 3 Rearrange 14*z + 42*z**3 - 37*z**3 - 4*z - 1 to d*z**3 + u*z**2 + s + t*z and give d. 5 Rearrange (-389 - 230 + 164 - 426 + 187)*(3*o**3 - o**3 - o**3) to m + z*o + l*o**2 + j*o**3 and give j. -694 Rearrange (-u**3 + 0*u**3 + 3*u**3)*(1 - 1 + u + (-6 - 6 + 0)*(2*u + 2 - 2)) to r*u**4 + j + h*u + d*u**2 + q*u**3 and give q. 0 Rearrange 210 - 31*x - 210 + (-23 + 2*x + 23)*(2 + 2 - 5) to the form g + q*x and give q. -33 Rearrange 12*r**2 - 4*r**2 + 4 + 2*r - 6*r**2 - 22 to p + a*r + i*r**2 and give i. 2 Rearrange 2718*w - 1358*w - 1359*w - 116*w**2 to u + p*w + v*w**2 and give p. 1 Express 3*y**3 - 6*y + 6*y**4 + 8*y - 3*y - 7*y**4 - 15*y**2 in the form d*y**3 + n*y**4 + g*y + r + x*y**2 and give d. 3 Express (3*h - 3*h - h)*(317*h - 238*h + 584*h) as j*h + n*h**2 + x and give j. 0 Rearrange 90*r**2 + 0*r**2 + 307*r - 86*r**2 to the form t + j*r**2 + c*r and give j. 4 Express 46*o - 139*o - 30 + 43*o + 41*o in the form s + j*o and give j. -9 Express -7*j - 9 + 9 + (-5*j - 5*j + 4*j)*(-2 - 2 + 2) + 3*j - j - j + (-2 - 2*j + 2)*(0 + 0 - 1) - 2*j + 2*j + 2*j in the form c + p*j and give p. 10 Rearrange 134*p - 472*p - 6 + 6 to the form c + t*p and give t. -338 Express (3 - 3 + 2*q)*(-2 - 3 + 3) + 2 - 2*q - 2 + 2 - 81*q + 9*q - 38*q in the form w + h*q and give h. -116 Express b - b + 2*b + b + 0*b + b + (5*b - 3*b - 4*b)*(2 + 4 - 7) + 6*b - 4*b + 0*b - 301 + 301 - 191*b as s*b + r and give s. -183 Express k - 1505 + 473*k**3 + 1505 + 2*k**2 + k**3 + 3*k**3 - 6*k**3 + (4 + k**2 - 4)*(0 - k + 0) as n + u*k + o*k**2 + s*k**3 and give s. 470 Rearrange (-707*m**3 + 4399*m**2 - 4399*m**2 + (m + m - m)*(7*m**2 - 3*m**2 - 3*m**2))*(0 + 0 - 3*m) to the form b*m**3 + d*m + w*m**4 + z*m**2 + t and give w. 2118 Rearrange (-2 - 8 - 5)*(-15 + 29 - 27 - 2*v) to the form h + m*v and give h. 195 Rearrange 363111 - 363111 + 86*u**2 to d*u + g*u**2 + b and give g. 86 Rearrange -739 + 739 + 136*o to w + v*o and give v. 136 Rearrange 304*m**4 - 2*m**2 + 315*m**4 - 932*m**4 + 301*m**4 - 2*m**3 + 20 to y + h*m**3 + w*m + r*m**2 + o*m**4 and give o. -12 Express -88*g**3 - 61*g**3 - 12*g**3 - g**4 - 2 - 40*g**3 + 2*g**2 + 34*g**3 in the form q*g**4 + l*g + v + h*g**2 + b*g**3 and give b. -167 Rearrange (q**2 - q**2 - q**2)*(-283 - 60 - 712) to the form h*q + j*q**2 + f and give f. 0 Rearrange (-13*l**2 + 340*l - 340*l)*(0*l - 6*l + 2*l) + (-3*l + 2*l - l)*(-2*l**2 + 0 + 0) to s + m*l**2 + o*l**3 + j*l and give o. 56 Express -18*u**3 + 13*u + 1
{ "pile_set_name": "DM Mathematics" }
m or f? f Let u be 30/135 - 148/18. Is u bigger than -1? False Let a = 18 + -22. Is a greater than -4? False Let o(d) = d + 8. Let x be o(-9). Which is greater: -14 or x? x Let h(k) = -k + 2. Suppose 3*p = p + 10. Let s be h(p). Which is greater: -5 or s? s Let d(g) = -g**2 + 5*g - 3. Let i be d(4). Let n(y) = 4 - 2*y + 4*y - y. Let p be n(-6). Which is bigger: p or i? i Let x(z) = 3 + 0 - 5*z - 2*z**2 + 0*z**2. Let a be x(-4). Let u be (1/(-3))/(3/a). Which is greater: 2 or u? 2 Let h = 15 + -13. Which is greater: 0.3 or h? h Let q = -17 - -17. Is q greater than 2/3? False Let q = 527/14 + -37. Let m = -15/14 + q. Is 1 greater than or equal to m? True Let r = -4 + 7. Let a be 8 + (-1)/r*0. Let f be 2*-1 + a/12. Which is smaller: 0 or f? f Let i = -296 - -2660/9. Is i > -2/9? False Let q = -100.95 - -106. Let y = 0.05 - q. Let n = y + 7. Which is bigger: n or 4? 4 Let l be ((-2)/(-4))/(1/(-64)). Let m be (-3)/((-12)/l*4). Is m equal to -13/4? False Let q = 0.21 - 0.2. Let s = -453 - -455.99. Let j = q + s. Which is bigger: -1/3 or j? j Let p = 8 - 9. Let q be p - 12/(-9) - 3. Is q not equal to -3? True Let z be (-3)/(1 - (4 - 2)). Let j be (-1)/z - (-2)/(-3). Let q be (((-5)/10)/(-1))/((-2)/4). Is j smaller than q? False Let k = -8.6 + 1.6. Let t = 9 + k. Is -0.1 greater than or equal to t? False Let b(k) = -k**3 + 7*k**2 - 7*k + 2. Let s be b(6). Let c be ((-3)/(-6))/((-2)/s). Is -1/5 at most as big as c? True Let o = 3 + -2.8. Let c = -0.4 + o. Is c less than 2? True Let u = 0.93 + -1. Let g = 3.07 + u. Let c = 3.1 - g. Which is bigger: 2 or c? 2 Suppose -2*s + 4*j - 20 = 0, s + 7*j - 3*j - 20 = 0. Let z be (-8)/6 - 4/6. Which is bigger: s or z? s Let n be ((-2)/4)/((-2)/52). Let j = n - 11. Does 2 = j? True Let g(k) = 2*k + 12. Let t be g(-6). Is t at least as big as -1? True Let k be ((-10)/(-4))/(55/66). Which is bigger: 11/3 or k? 11/3 Let v(a) = a**3 + 4*a**2 - 5*a - 3. Let o be v(-5). Let p = -2 + 1. Let y = p + -1. Which is bigger: y or o? y Let d = 48.7 + -49. Does d = -0.3? True Let q = -175/3 - -58. Is 0 < q? False Let u be (-22)/28 - (-4)/14. Let x = 1 - 0. Suppose -3*c = x + 2. Which is greater: c or u? u Let j = -16 - -16. Let y = j - -8. Is y less than 1? False Let n = -0.2 - -0.3. Suppose 2*o - 10 = 5*x - 4*x, 4*x + 2*o = 10. Suppose x = -5*d + 3*d + 4. Are d and n nonequal? True Let v(h) = -h - 4. Let s be v(-4). Are 7/6 and s nonequal? True Let w be ((-18)/(-12))/((-22)/(-4)). Is w greater than or equal to -1? True Let t(b) = b. Let h be t(4). Let g(d) = -d**2 + 5*d - 2. Let j be g(h). Let y = j + -3. Is y less than or equal to -3? False Suppose 5*n - 30 = -4*d, 3*d + d = -n + 38. Let r = d + -11. Is -2/3 != r? True Let w(v) = -v - 2. Let n be w(8). Let t(x) = -x. Let l be t(9). Which is smaller: n or l? n Let p = -21 - -17. Let b be ((-6)/4)/((-3)/(-4)). Let m be ((-5)/2)/(b/(-4)). Do p and m have the same value? False Let m = 13 - 12. Is 3 != m? True Suppose 4*n + 3*u - 37 = 0, -3*n - u + 25 = 4*u. Suppose c = -3*k - n, 4*k - c + 20 = k. Are k and -2 equal? False Let q be (-6)/3*9/(-6). Suppose -q*s + s + 4 = 0. Which is greater: 4/5 or s? s Let p = 9 + -3. Let a = p - 9. Let d be -3*(a/9)/1. Which is bigger: -1 or d? d Let v be 6/3*2/4*7. Is 6 < v? True Let p(u) = 3*u**2 - 2*u - 1. Let d(n) = 15*n**2 - 11*n - 5. Let x(w) = -2*d(w) + 11*p(w). Let s be x(1). Is s equal to -0.1? False Let u be (-6)/3 - (1 - 0). Let q be 63/(-15) - 3/(-15). Which is smaller: q or u? q Let m = -9 - -12. Suppose 2 - 14 = 5*u + m*n, -2*u + 8 = -2*n. Which is greater: u or -1/6? u Let d be (20/(-14) + 2)/(-1 + 0). Is 1/2 at least as big as d? True Let s = -0.007 + 3.007. Which is bigger: -0.2 or s? s Suppose -i - 1 = -q, 3*q + 3 = -3*i + 5*q. Suppose 3*h + 3*x = -h + 17, -4*x + 21 = 5*h. Are h and i equal? False Let u = 2.13 + -1.5. Let k = u - -3.27. Let h = -4 + k. Are h and -2/3 nonequal? True Let w(b) = -b - 5. Let x be w(-5). Suppose x = -0*u + u - 1. Is 1 less than u? False Let y be (-1 + -8)/((-132)/88). Let a = 0 - 0.2. Let b = 0.1 + a. Is b < y? True Let w = -1 + 2. Suppose -5*k + 23 = -4*h, -4*k + 3 = 5*h + w. Let g be 4 + -2 - 12/k. Which is greater: 1 or g? 1 Suppose -63 = -3*t - 0*t + 3*s, 0 = -2*t + s + 39. Let l = 377/21 - t. Let v = 8/21 + l. Is -0.1 less than or equal to v? True Let u be 4/(-30) - (-17)/15. Is u greater than or equal to 3? False Let i(h) be the second derivative of -h**3/3 + 11*h**2/2 + 5*h. Let o be i(6). Is -2/19 greater than o? True Suppose -3*x = 2*n + 11, -x + 12 = -5*x - 2*n. Which is bigger: 3/44 or x? 3/44 Suppose 0*j + 2*j - 8 = -3*b, j - 9 = -4*b. Is -2/15 at least as big as j? False Let a be (-5)/(45/6)*6. Which is greater: -8/3 or a? -8/3 Let i = 1 - -13. Suppose -4*g - 17 = -7*g + b, -3*b = 2*g - 15. Let l be (-4)/g - i/(-21). Which is greater: l or -1/5? l Let x(p) = 13*p**2 - 23*p - 9. Let m(g) = -7*g**2 + 12*g + 5. Let v(l) = -11*m(l) - 6*x(l). Let u be v(5). Let j = u + -4. Is 0 less than j? False Let z(u) = u**2 - 9*u + 16. Let s be z(7). Is s <= 1? False Let c = -14 + 12. Let k = -1 + 3. Suppose 0*x = -k*x. Is x at least as big as c? True Suppose 0 = 2*r + 2 - 6. Suppose 1 - 5 = -4*x + r*k, -x + k = -2. Let f(q) = q**3 + 6*q**2 + 5*q - 1. Let n be f(-5). Does n = x? False Suppose 5*l - 5*r + 35 = 0, l + r = 6*l + 19. Let a be 2 - (-8)/(-24)*6. Which is smaller: l or a? l Let b(i) = i. Let z be b(7). Let c(f) = 6*f - 4. Let y(h) = h + 1. Let j(m) = c(m) - 3*y(m). Let w be j(5). Is w greater than or equal to z? True Let j be 0/10 - 4/(-13). Which is bigger: 0 or j? j Let d = 201 - 206. Which is smaller: d or -34/7? d Let r(k) = k**2 + 4*k - 13. Let c be r(-7). Is 7 not equal to c? True Let v = 0.2 - -2.5. Let j = v + -0.7. Let y = -0.02 + 1.02. Which is smaller: y or j? y Let p = -5.2 - -5. Let f = p + 0.3. Is -0.1 smaller than f? True Let h be (-24)/36*(2 - (-250)/4). Are h and -44 unequal? True Let b = -31 + -8. Let q = b + 155/4. Let s be (-3)/9 + 2/6. Which is bigger: s or q? s Let b(u) = -9*u - 7. Let y be b(-1). Which is greater: y or 5? 5 Let t(q) = -q**2 - 6*q + 9. Let o be t(-7). Let m be o/2 - (-16)/4. Are m and 6 non-equal? True Let d be (18/15)/((-3)/(-10)). Let a(k) = k**2 + k. Let i be a(3). Suppose 2*j = d*s - 8*s - i, j = 0. Which is bigger: -4 or s? s Let d(c) = -c**3 - 10*c**2 + c + 13. Let i be d(-10). Which is greater: i or 0? i Let f = 10 - 8. Let w be (14/4)/((-3)/f). Which is greater: w or -2? -2 Let t = -0.2 - 9.8. Let p = t + 10.3. Is p != 1/3? True Let o = -94 - -25. Which is smaller: 0.1 or o? o Let s(j) = j**2 + 14*j - 38. Let h be s(-16). Does -1 = h? False Let m be (2/6)/((-5)/(-45)). Suppose -m*i - 4 = -19. Which is smaller: 4 or i? 4 Let p = -2 + 4. Let f = 2.1 + -2. Are f and p non-equal? True Let l be 2 + (-8)/6 - 0. Let z(k) = -k**2 + 19*k - 16. Let x be z(18). Do l and x have the same value? False Let z be (0 - -4)/1 + 0. Which is smaller: z or 3? 3 Let n(u) = -u**2 - u - 1. Let l be (-4)/12*(4 - 1). Let g be n(l). Which is smaller: g or 1? g Let d be (2/3)/(4/6). Let m = 12.1 + -0.1. Let j = m + -14. Which is bigger: d or j? d Let g(a) = a**2 + 8*a + 8. Let h be g(-7). Do h and 3 have the same value? False Suppose 0 = -2*n + 6*n + 20. Is -2 != n? True Suppose 2*m + 4*p = p - 8, 0 = -p - 4. Suppose 2*o + 4*v = 24, -3*v + 10 = m*v. Suppose -3*s - o = 2*l - l, 5*s = 3*l - 18. Is s greater than or equal to -2? False Let v = 39 - 39. Which is smaller: v or -1/23? -1/23 Suppose 4*w = -8 - 8. Let z(p) = 2*p + 5. Let s be z(w). Which is smaller: -4 or s? -4 Suppose -3 = 3*a + 48. Let i = a - -12. Let q be i/3 - (-8)/12. Which is smaller: q or -2/9? q Let i be -1*(-6)/(-10) + 1. Let u = -15 + 16. Suppose u = a - 0. Are a and i non-equal? True Let w(s) = s**3 - 3*s**2 - s + 2. Let t be w(3). Suppose 2*m - b - 1 = 0, -5*m + 4*m = 3*b - 4. Let z be (0 - 1)*3*m. Are t and z equal? False Let x = 12.3 + -11.3. Let b = -4 + 5.1. Let q = -1 + b. Which is smaller: x or q? q Let i(m) = m**3 - 8*m**2 + 2. Let k be i(8). Let h be (-1)/k + 2/8. Is -1 at least h? False Let g = 0 - 0. Let u(i) = -2*i**2 - 4*i + 1. Let d be u(-2). Is d != g? True Suppose 4 = -0*l + 2*l. Suppose -5*c + 0*f = 3*f + 10, c - 4*f + l = 0. Let b be -2*-3*c/6. Are -2 and b non-equal? False Let g be (4/
{ "pile_set_name": "DM Mathematics" }
(b) = -13*b**2 + 7*b - 5. Let f(i) = -7*i**2 + 4*i - 3. Let z(s) = -6*a(s) + 11*f(s). Determine z(d). 5 Let t(l) = l**2 + 65499 - 65477 + l**3 - 10*l**2 + 4*l. Calculate t(7). -48 Let k = 5440 - 5451. Let i(n) be the first derivative of n**2/2 + 2*n + 5. Calculate i(k). -9 Suppose 6 = 33*o - 31*o. Let l = 0 + o. Let j(f) = -5 + 1 + 3*f + 5 + 0 + f**l + 2*f**2. Give j(-2). -5 Let s(k) = 165*k + 77 + 81 + 78 - 106 - 169*k. Determine s(33). -2 Let x(z) = -3*z**3 + 22*z**2 + 10*z + 32. Let t be x(8). Let c(a) = a**3 + 16*a**2 + 2*a + 17. Determine c(t). -15 Let g(i) = 83*i - 70. Let u(s) = -38*s + 32. Let v(p) = -5*g(p) - 11*u(p). Let d(c) = c**3 - 7*c**2 + 7*c - 4. Let l be d(6). Give v(l). 4 Let l(k) = -k**2 - 3*k + 3. Let t(m) = 4*m**2 + 9*m - 10. Let v(i) = 7*l(i) + 2*t(i). Let n be (-6)/(-8) + (-10)/(-8). Suppose n*c = 7*c - 15. What is v(c)? 1 Let i = 884 - 887. Let c(b) = b**3 + 3*b**2 + 2*b - 4. Let m(g) = 5*g + g - 3*g + g**3 - 5 + 46*g**2 - 43*g**2. Let t(a) = -4*c(a) + 3*m(a). Calculate t(i). -2 Let c(u) = -26*u + 1609. Let a(r) = -9*r + 513. Let x(n) = -7*a(n) + 2*c(n). Calculate x(34). 1 Let s(o) = -38*o**3 - 77*o**2 - 58*o + 40. Let n(g) = -11*g**3 - 25*g**2 - 19*g + 13. Let v(y) = 7*n(y) - 2*s(y). Determine v(-20). -49 Suppose -170*d = -84*d - 74*d - 348. Let b(g) = -g**3 + 30*g**2 - 30*g + 32. Give b(d). 3 Let f(c) = -4*c**3 + 91*c**2 - c - 14. Let a(p) = -p**3 + 21*p**2 - 4. Let l(v) = 9*a(v) - 2*f(v). Calculate l(5). 52 Let x(v) = 2*v**2 - 4*v - 69. Suppose 64*p - 1001 = -59*p - 20*p. Give x(p). 1 Let v(l) be the second derivative of -72*l + 0 + 7/12*l**4 - 2/3*l**3 - 1/20*l**5 - 8*l**2. Give v(6). -4 Let m(l) = 8*l**3 + l**2 + l - 1. Let y be (-22)/(-55) - (-306)/10. Suppose 0 = -2*p + y - 27. Suppose 9*f = 7 + p. Determine m(f). 9 Let b be 27/(-9)*(-5)/3. Suppose 8*i - b*i = -18. Let l(c) = -2*c**2 + 2*c + 2. Let z(t) = -3*t**2 + 3. Let h(x) = -4*l(x) + 3*z(x). Determine h(i). 13 Let x(o) = -163*o + 92. Let r(d) = 93*d - 48. Let p(c) = 7*r(c) + 4*x(c). Give p(-22). 54 Let t(h) be the second derivative of -h**5/60 + 7*h**4/24 - 7*h**3/6 - 12*h**2 + 43*h. Let r(u) be the first derivative of t(u). Give r(5). 3 Let p(q) be the second derivative of -q**3/3 + 3*q**2/2 + 41*q + 4. What is p(-2)? 7 Let n = 3 + -7. Let m(r) be the first derivative of -7*r - 1/2*r**2 + 45. Give m(n). -3 Let z(q) = -q**3 - 3*q**2 + 4*q - 15. Let l = -34046 - -34039. Calculate z(l). 153 Let v(u) = u**3 - 6*u**2 + 8*u - 7. Let y(p) = p**2 + 30*p + 19. Let h be y(-30). Suppose h*d = 53 + 61. What is v(d)? 41 Let t(s) = s**3 - 6*s**2 + s - 4. Suppose -17 = -3*k + 4*r, 7*r - 11*r - 15 = -5*k. Let z(u) = -10*u - 5. Let i be z(k). Calculate t(i). -24 Let d(j) = 38*j**2 + 3*j - 6. Let l(i) = -109*i**2 - 9*i + 16. Let c(p) = -17*d(p) - 6*l(p). Determine c(-3). 69 Let x(o) be the second derivative of -3/4*o**4 + 0*o**2 + 0*o**3 - 3*o - 43. Let i(r) = -r + 6. Let t be i(5). What is x(t)? -9 Suppose -3*v - 6 = -6*v. Let o(b) = 690*b**3 + 0*b + 0*b - 3*b**2 + v*b - 691*b**3 + 1 - b. Let c = 1 + -4. What is o(c)? -2 Let a(q) be the first derivative of 3*q**2/2 + 45*q + 2392. Calculate a(-13). 6 Suppose 20 = 6*x + 20. Let r be (-6)/(-6)*(-4 + (1 - x)). Let k(s) be the first derivative of -s**3/3 - 2*s**2 - 3*s - 66. Determine k(r). 0 Let m(p) = -17*p + 125 - 16*p - 7*p + 3*p**2 + 38*p - 126. Let r = -1 + 3. Determine m(r). 7 Let j(g) = -336*g - 2427. Let y(b) = 34*b + 243. Let v(l) = -2*j(l) - 21*y(l). What is v(-6)? 3 Let t(y) = -6*y**2 - 7*y + 9. Suppose 10*c = -8*c - 90. Let v(p) = -p**2 + 2. Let h(j) = c*v(j) + t(j). Suppose -3*m = -7*m - 12. What is h(m)? 11 Let w(y) be the second derivative of y**4/12 - y**3/3 - y**2/2 + y. Let a be 308/(-8)*2/(-3)*3. Let p be (-11)/(a/(-28))*1. Calculate w(p). 7 Suppose 13*p + 130 = -194 + 220. Let i(g) = g**2 - 2*g - 16. Give i(p). 64 Let p(x) be the first derivative of x**2 + 10*x - 99. Let m(c) = -21*c - 115. Let a be m(-5). Determine p(a). -10 Let z(j) = -2*j**3 - 32*j**2 + 2*j - 85. Let a(b) = 2*b**2 + 9. Let f(h) = -10*a(h) - z(h). What is f(-6)? 7 Let n = 387298 - 387302. Let t(m) be the first derivative of m**4/12 + 5*m**3/6 - m**2/2 - m - 1. Let l(i) be the first derivative of t(i). What is l(n)? -5 Let o(c) be the third derivative of 3/2*c**3 - 1/24*c**4 + 0*c - 1/120*c**5 + 0 - 5*c**2. Let p(z) be the first derivative of o(z). Determine p(-8). 7 Let h(g) = 1460*g - 735*g - 732*g + 305 - 106. Give h(29). -4 Let i(w) be the second derivative of 5*w**2 - 1/24*w**4 + 0 - 1/40*w**6 + 20*w + 1/3*w**3 - 1/15*w**5. Let o(q) be the first derivative of i(q). What is o(-2)? 12 Let r(g) be the second derivative of -g**5/20 - 13*g**4/12 - 2*g**3/3 - 7*g**2 - 392*g - 1. Let k be 2*6/36*(1 - 40). Give r(k). 38 Let k(b) = -b**3 - 11*b**2 + b - 34. Let y be (-2)/(5/(-10)*5) + (-177)/15. Calculate k(y). -45 Let p(s) = s**2 - s - 1. Let b(t) = -4*t**2 + 9*t + 1. Let g(v) = b(v) + 5*p(v). Let h be (4/(-6))/((-2)/(-12)). Give g(h). -4 Let c(r) = -150*r + 330*r - 176*r - 22. Determine c(9). 14 Suppose 2*f + 2*f - 10 = -5*v, 0 = -v + f - 7. Let u(c) = 21*c**2 + 3*c + 32*c**2 + 2 + 24*c**2 - 71*c**2. Give u(v). 20 Let o = -22 + 21. Let r(f) = -2*f**3 - 28917 + 3*f - 4*f**2 + 14454 + 3*f**2 - 2*f + 14464. What is r(o)? 1 Suppose 3*p = -2*d - 22, 3*d - 89 = 4*p - 71. Let b(l) = 10*l + 4. Let i(w) = 5*w + 2. Let k(s) = 3*b(s) - 5*i(s). Determine k(d). -8 Let s(z) = 14*z + 5. Let c(y) be the first derivative of 7*y**2/2 + 3*y + 22. Let m(f) = -7*c(f) + 4*s(f). What is m(-2)? -15 Suppose -11*q = -6*q - 5. Let i(d) = q + 10*d + 9*d - 20*d. Let l(z) = 2*z - 8. Let b be l(8). Calculate i(b). -7 Let q(o) be the third derivative of -13*o**4/24 - 41*o**3/6 + 676*o**2. What is q(-3)? -2 Suppose 263*l - 280*l = 153. Let h(q) be the third derivative of -q**4/24 - 8*q**3/3 - 12*q**2. Give h(l). -7 Suppose 5*o + 14 + 21 = 5*t, t = -2*o + 4. Let u(x) = -4*x**2 - 8*x + 2. Give u(o). 6 Let w(s) = -s**3 + 5*s**2 + 7*s + 4. Suppose -3*t = 3*o - 3, 3 = t - 3*o - 2. Suppose 0 = -t*g - 10, 3*d + 4*g - 3*g - 13 = 0. Determine w(d). 10 Let v = -221 + 222. Let u(q) = -q + v + 0*q - 203*q**2 + 211*q**2. Give u(1). 8 Suppose 0 = 4*q - 0*q - 68. Let j(a) = -q - 17 + 0 + 2*a. Let k be j(15). Let s(g) = -g - 1. Determine s(k). 3 Let h(j) be the third derivative of 0*j + 0 - 1/120*j**5 + 1/8*j**4 - 2*j**3 + 12*j**2. Let o(m) be the first derivative of h(m). Calculate o(6). -3 Let j(o) = -o. Let m(d) = d**3 + 2*d**2 - 31*d - 19. Let z be m(5). What is j(z)? -1 Suppose 195*g - 197*g - 15 = o, -3*o + 2*g - 13 = 0. Let i(d) = d**2 + 11*d + 25. Calculate i(o). -3 Let d(x) = -11 + 6 + 994*x - 990*x + 2. Suppose 2*q = 4*q - 10. Suppose 0*c - c = -q. Calculate d(c). 17 Let k(d) be the third derivative of -d**5/60 - 5*d**4/24 - 2*d**3/3 - 7*d**2 - 140*d. Give k(-3). 2 Let k(x) = -x**3 + 3*x**2 + 3*x - 3. Suppose 0 = 3*s + 4*s - 14. Let q be ((0 + s)/2 + -3)*-9. Suppose -7*u + 3 + q = 0. Determine k(u). 6 Let a(t) be the first derivative of 1/4*t**4 + 6*t - 35 + 19/3*t**3 + 9*t**2. Calculate a(-18). 6 Let k(u) = -u**2 - 26*u - 135. Let t = 22700 + -22720. Determine k(t). -15 Let r be 1/(3/(-18)) - 204. Let w = r + 206. Let t(z) = z**3 + 5*z**2 + 5*z - 1. Calculate t(w). -5 Let z(w) = -2*w + 30. Suppose -155*o - 748 = -199*o. What is z(o)? -4 Let m(w) = -7*w + 126. Let c = -1506 - -1525. Calculate m(c). -7 Suppose -21 = -3*x - w, 4*x = 27*w - 31*w + 12. Let m(b) = -4*b + 7. Determine m(x). -29 Suppose 2*j = 4*j - 10. Let z(q) = -56 + 27 + 7*q - j*q**2 + 31. Let c(n) = -4*n**2 + 6*n + 3. Let v(b) = -4*c(b) + 3*z(b). What is v(6)? 12 Let w(l) be the first derivative of l**3/3 - 8*l**2 - 162*l + 9368. Give w(-7). -1 Suppose -t - 4*t - 25 = 0. Let l(b) be the first derivative of -378 - 3*b**2 + 283*b - 568*b + 287*b. Give l(t). 32 Let w(g) = -2*g - 53. Let m(z) = -6*z - 178. Let b(f) = -2*m(f) + 7*w(f). Calculate b(-13). 11 Let x(z) = -317 + 67 + 134 + 131 + 12*z. Give x(-2). -9 Let k = 19 + -1. Suppose 9 = -n + k. Let t(v) be the second derivative of -v**3/6 + 9*v**2/2 + 48*v + 2. Calculate t(n). 0 Let q(n) be the third derivative of n**7/5040 - 37*n**5/10 - 125*n**2. Let u(t) be the third derivative of q(t). Determine u(1). 1 Let i(r) = -r**3 + 7*r**2 - 5*r - 7. Let x be (-34)/2*(2
{ "pile_set_name": "DM Mathematics" }
biggest value in 3, -4, -3, 5, -116, 2/15, 1? -3 Which is the sixth smallest value? (a) 0 (b) -3/4 (c) 13 (d) 11.2 (e) 4 (f) 33 (g) -20/7 c What is the biggest value in -50851/5, -2/301, -1/2? -2/301 Which is the third biggest value? (a) -190239 (b) 3 (c) 29 a Which is the third biggest value? (a) -49358/17 (b) -1/12 (c) 2/3 (d) 4/5 b What is the third smallest value in -0.05, 0.5, 1050, -0.24? 0.5 What is the fourth smallest value in -1, 13, -596, 0.02, 0.4, -17? 0.02 What is the second biggest value in 1/69606, 1/74, -4? 1/69606 What is the smallest value in -205, -2/19, 0.5, -3/4, 1/13, -5, -64? -205 Which is the fourth biggest value? (a) 2 (b) 1074 (c) 43.3 (d) -0.2 d What is the biggest value in -5, -0.3, -0.7252, 2, -3/7, -2/21? 2 What is the fourth biggest value in 0.4, -6, -0.1, 190516, 0.3, -0.06, 2? 0.3 Which is the second biggest value? (a) 7 (b) 160722 (c) 1/8 a Which is the second smallest value? (a) 2 (b) -0.3 (c) -12 (d) 332 (e) 0.042 (f) -2 (g) -0.4 f What is the fifth smallest value in -1, 38, -2, -85/2, 70/9? 38 What is the fourth smallest value in -2/7, 30, -42, 133, -2/9, 22/5? 22/5 Which is the second smallest value? (a) 6/13 (b) -4 (c) 84 (d) 0.05 (e) 0.2 (f) -0.028 (g) 0.3 f Which is the biggest value? (a) -763.1 (b) -0.4 (c) -0.5 (d) -17 b Which is the sixth biggest value? (a) -68 (b) 1 (c) 4 (d) -130 (e) -6 (f) -2 d What is the smallest value in -8, 1/5, 71/251? -8 What is the smallest value in -0.2, -4003, -1866? -4003 Which is the biggest value? (a) -5 (b) -65 (c) 1/184915 c What is the smallest value in -2, 0.2, -0.5, -2/3, -3, -0.1, -1/303? -3 What is the smallest value in -4/31, 5, -204, 13, 4/9? -204 Which is the biggest value? (a) 23 (b) 3/2 (c) 4/1029 (d) 0.5 a What is the third biggest value in -0.137, -2/11, 9, -0.4, 0.01, -2/3, -0.1? -0.1 Which is the fourth smallest value? (a) -34 (b) -5 (c) 4 (d) 3 (e) -2/45 (f) 0.3 (g) 20 f Which is the fifth biggest value? (a) 5 (b) -12 (c) 104 (d) 6/11 (e) -5 (f) -4/11 (g) 2 f Which is the fourth biggest value? (a) -2/283 (b) -2/1237 (c) -5 (d) 2 (e) 4 a Which is the fourth biggest value? (a) -3/49 (b) 2245 (c) 1/4 (d) 43 a What is the third biggest value in -0.06401, 5, 114? -0.06401 Which is the biggest value? (a) 0.3 (b) -0.5 (c) 867301 (d) -0.4 c What is the second smallest value in -0.3, 777, -2, 3/2, 0, 4/247? -0.3 Which is the fourth smallest value? (a) 4 (b) 496 (c) 1/7 (d) 4014/11 b Which is the biggest value? (a) -1 (b) -30 (c) -1/37 (d) 42 (e) -2/7 d Which is the sixth biggest value? (a) 1 (b) -1 (c) -1/4 (d) 10 (e) 2 (f) 63 (g) 74 c What is the second smallest value in -1.15, 2, 341359? 2 Which is the smallest value? (a) -5331 (b) 5 (c) -952 (d) 0.3 a Which is the third smallest value? (a) 539/54 (b) -194 (c) 1 a What is the third smallest value in 2, 2/7, -2/5, -45999, -13? -2/5 Which is the fourth smallest value? (a) -2188/67 (b) -0.3 (c) 2/15 (d) -0.2 (e) -0.05 e What is the third biggest value in 16/79, -4534, -0.5, 1? -0.5 What is the smallest value in 3, -22/25, 258, 2/11, -8/7, 1/12? -8/7 What is the fourth biggest value in 1/2, 3, 728, -0.086874? -0.086874 What is the fourth biggest value in 1, -6/31, -0.9, 4, -2/12447? -6/31 Which is the second biggest value? (a) -2/15 (b) 1/6360 (c) 4 (d) 2/9 (e) 34 c What is the third biggest value in -0.13, -2/15, -4827, -2/3? -2/3 What is the third biggest value in 0, -5, -2, 4, 11, 7/10, -1.8? 7/10 What is the third smallest value in 1122, 10987, 4? 10987 Which is the third smallest value? (a) -0.04 (b) -2 (c) -110 (d) -24 b Which is the fourth biggest value? (a) -0.86 (b) 2/19 (c) 9/5 (d) 198/7 (e) 0.5 (f) 0.3 f What is the second biggest value in 13.5, 2, -99551, 2/3? 2 Which is the fourth biggest value? (a) -710 (b) 0.08 (c) -0.1 (d) -851 (e) 1 a What is the sixth smallest value in -0.4, -0.5, -16/111, 0.1, 2/17, 0.5, -33? 2/17 Which is the fourth smallest value? (a) 0.2 (b) -0.4 (c) -7 (d) -1/7128 a What is the smallest value in 5, -8331, 0.1, 28? -8331 Which is the fifth smallest value? (a) 2/15 (b) -1/10 (c) 1 (d) 403 (e) -1/13 d What is the biggest value in -7/19, 3/2, 229, -98? 229 What is the smallest value in -1/5, 4/5, -10, -2/3, -57, -13, 3? -57 Which is the third smallest value? (a) 2/57 (b) -0.44 (c) 2/9 (d) 328 c Which is the second smallest value? (a) -0.4 (b) -0.085 (c) 2/11 (d) -0.17 (e) 0.13 d Which is the third smallest value? (a) 5 (b) 0 (c) 7 (d) -0.8 (e) -122 (f) 2.6 (g) -3 d What is the fourth biggest value in -2/5, -2, 2801, -419? -419 What is the fifth smallest value in -3/7, -12, -79, -7, -1/4, -4, -2/93? -3/7 Which is the third biggest value? (a) 1 (b) 0.03 (c) 42 (d) 23042 (e) 5/2 e What is the fourth smallest value in 5, -2.3, -5, -29/4, 4, -108, -3/7? -2.3 What is the third smallest value in -398067, -17, -1? -1 Which is the second biggest value? (a) 0.343 (b) -28/31 (c) -0.3 c Which is the second smallest value? (a) 1899 (b) 2 (c) -3 (d) -0.04 (e) 55 d What is the second biggest value in -552, 120/59, 5/3? 5/3 What is the second biggest value in 10.3, -4, -5, 31480? 10.3 Which is the smallest value? (a) -2736000 (b) -1/2 (c) -3 a Which is the fifth smallest value? (a) -0.4 (b) -20 (c) 4 (d) -65 (e) 118 (f) 0.03 c What is the sixth biggest value in 1/2, -1/188, 4, 11, -1, 0.3? -1 What is the smallest value in -2/3, 12/455, -0.2, 4/15, -3.6, 0? -3.6 What is the biggest value in 2/7, -16, -208, 5, 3/7, 2/5, 477? 477 What is the biggest value in 0.1, -1/10, 75, 3/11, 2902? 2902 What is the smallest value in 474, 2900/11, 3/13? 3/13 Which is the second biggest value? (a) -8.9 (b) -0.07 (c) 286 (d) 184 d Which is the second biggest value? (a) 2394.81 (b) 1/9 (c) -21 (d) -3 b What is the third biggest value in 0.04, -1/3, -29, -1, -66, 0? -1/3 Which is the biggest value? (a) 14.2 (b) 5 (c) 1/3 (d) 0.063 (e) -0.4 (f) 6 a Which is the sixth smallest value? (a) -34704 (b) -3 (c) 1 (d) 56 (e) -1/4 (f) 0.3 d Which is the biggest value? (a) 0.09 (b) 5 (c) -1/3 (d) 10904/3 d Which is the second biggest value? (a) 0.05 (b) -459283/2 (c) 5 a Which is the third biggest value? (a) -0.1 (b) 2/117159 (c) -2745 (d) 0.3 a What is the third smallest value in 35192, -0.1, -4/19? 35192 Which is the third biggest value? (a) 4 (b) 1168.2 (c) 2/5 (d) 10 (e) -0.1 a What is the smallest value in 545852, 0.08, 2/11? 0.08 What is the smallest value in 1, -9/3625, -1, 3, 0, 2/13? -1 Which is the biggest value? (a) -2/17 (b) -0.1 (c) -0.11 (d) 6/7 (e) -0.04 (f) -10/3 d What is the third biggest value in -3, -35, 1/4, -807178, -5? -5 Which is the fourth smallest value? (a) 1 (b) 3 (c) -157765/4 (d) 1/5 (e) -3 a Which is the fourth biggest value? (a) -3 (b) 0.5 (c) 0.048 (d) 0.2 (e) -0.29 (f) 2/3 c What is the second biggest value in 0.5, -5, 22, 4, -11/6? 4 Which is the third smallest value? (a) -4 (b) 9 (c) -210.23 b Which is the sixth smallest value? (a) -2 (b) -0.1 (c) -190 (d) -7 (e) -0.2 (f) 140/11 f What is the third smallest value in 1/4, -42260, -0.41? 1/4 Which is the fourth biggest value? (a) -6735.8 (b) 14.3 (c) -2 (d) -5 (e) -3 (f) -4 (g) 1/8 e What is the third biggest value in -136, -2.388, -4, 93? -4 What is the third biggest value in -2/11, 6, 3328, -5, -12? -2/11 What is the fourth biggest value in -5, 3.3, 0, -480916? -480916 What is the second smallest value in 43, 1.5, 15558? 43 Which is the fifth biggest value? (a) 57/4 (b) 155 (c) 18/7 (d) -3/4 (e) 5 d Which is the sixth biggest value? (a) 3 (b) 65 (c) 0.4 (d) 204 (e) 1.2 (f) -0.1 (g) -5 f What is the third biggest value in -4, 0.044, -12/7, -2/17, -0.2? -0.2 What is the second smallest value in 10, 2, -978/85? 2 Which is the smallest value? (a) 0.231 (b) 1/2 (c) -0.8 (d) 1 (e) -121 e Which is the seventh biggest value? (a) 2/55 (b) -4/39 (c) 5 (d) 3/2 (e) -61 (f) -1 (g) 1/4 e What is the fifth biggest value in 2/21, 6, -2, 3900, -1? -2 What is the smallest value in 11, 2702/275, 4? 4 What is the biggest value in -1, 33.08, -13.91? 33.08 Which is the second smallest value?
{ "pile_set_name": "DM Mathematics" }
ent from ggygruu? 1/7 What is prob of picking 2 u when two letters picked without replacement from {u: 5, d: 2, q: 6}? 5/39 Calculate prob of picking 3 u when three letters picked without replacement from {w: 1, u: 12}. 10/13 Calculate prob of picking 2 o and 2 n when four letters picked without replacement from {o: 7, n: 2}. 1/6 Four letters picked without replacement from {m: 4, g: 3, a: 5, l: 1, q: 3, b: 1}. What is prob of picking 1 g, 1 m, and 2 a? 6/119 Calculate prob of picking 1 x and 1 d when two letters picked without replacement from {d: 4, i: 1, x: 3}. 3/7 Calculate prob of picking 2 q and 1 s when three letters picked without replacement from {s: 3, q: 5}. 15/28 Calculate prob of picking 2 d when two letters picked without replacement from dddddddc. 3/4 Calculate prob of picking 1 w and 1 b when two letters picked without replacement from {b: 4, w: 10}. 40/91 Two letters picked without replacement from eeveveevvvwveveve. What is prob of picking 2 e? 7/34 Two letters picked without replacement from anaeneanaauna. What is prob of picking 1 a and 1 n? 4/13 Four letters picked without replacement from {d: 1, i: 1, c: 2, o: 2}. Give prob of picking 2 c and 2 o. 1/15 Four letters picked without replacement from wuhuuuwhhu. What is prob of picking 2 h, 1 w, and 1 u? 1/7 Calculate prob of picking 1 v and 2 w when three letters picked without replacement from lwvvwvvlvuwwlwv. 12/91 Four letters picked without replacement from {v: 2, q: 6, f: 3, b: 1}. What is prob of picking 1 v, 2 q, and 1 b? 2/33 What is prob of picking 3 o when three letters picked without replacement from {o: 3, s: 12}? 1/455 Two letters picked without replacement from tagtttftaatfggg. What is prob of picking 1 t and 1 f? 4/35 Four letters picked without replacement from vwpppyppmvmvvgp. What is prob of picking 1 m, 1 y, and 2 p? 2/91 Two letters picked without replacement from {l: 5, h: 11}. Give prob of picking 1 l and 1 h. 11/24 Four letters picked without replacement from {w: 5, u: 8}. Give prob of picking 4 u. 14/143 Calculate prob of picking 2 j when two letters picked without replacement from {z: 10, u: 2, j: 3}. 1/35 Calculate prob of picking 1 y and 1 u when two letters picked without replacement from cccuuuucccucy. 5/78 Two letters picked without replacement from {b: 3, q: 1, j: 3, i: 4, u: 2, v: 2}. What is prob of picking 1 j and 1 b? 3/35 Four letters picked without replacement from nnxnnnnnnxnnnnxn. Give prob of picking 2 x and 2 n. 9/70 Calculate prob of picking 1 r, 1 j, and 1 u when three letters picked without replacement from jqufrjrjlrl. 3/55 What is prob of picking 1 b and 2 f when three letters picked without replacement from nibeifffiifkf? 5/143 Calculate prob of picking 2 d and 1 w when three letters picked without replacement from dwdgwfz. 2/35 Two letters picked without replacement from {e: 8, w: 3, g: 2, b: 3}. Give prob of picking 1 g and 1 b. 1/20 What is prob of picking 1 y and 1 d when two letters picked without replacement from {d: 1, b: 1, z: 1, w: 1, y: 3}? 1/7 Two letters picked without replacement from lqgbntt. Give prob of picking 1 t and 1 b. 2/21 Three letters picked without replacement from ixxxxxxixxxi. Give prob of picking 1 i and 2 x. 27/55 Calculate prob of picking 2 k and 1 s when three letters picked without replacement from {k: 6, p: 1, s: 7, x: 1}. 3/13 What is prob of picking 1 n, 1 t, 1 d, and 1 z when four letters picked without replacement from {t: 1, d: 2, z: 1, n: 10}? 20/1001 Calculate prob of picking 2 t and 1 x when three letters picked without replacement from {x: 1, f: 3, a: 4, t: 2}. 1/120 What is prob of picking 1 p and 1 s when two letters picked without replacement from {s: 1, d: 3, p: 5, g: 3}? 5/66 Three letters picked without replacement from {a: 7, x: 4, l: 5}. Give prob of picking 1 x and 2 l. 1/14 What is prob of picking 2 k when two letters picked without replacement from kkhh? 1/6 Four letters picked without replacement from fwfffffffffllfl. What is prob of picking 3 f and 1 l? 33/91 Four letters picked without replacement from {w: 7, i: 6}. What is prob of picking 1 i and 3 w? 42/143 Two letters picked without replacement from ooonnonnnn. Give prob of picking 2 n. 1/3 Three letters picked without replacement from ohhhooohho. What is prob of picking 2 h and 1 o? 5/12 Two letters picked without replacement from {n: 6}. Give prob of picking 2 n. 1 Calculate prob of picking 1 o and 2 l when three letters picked without replacement from olorbbhmobrbomo. 0 Four letters picked without replacement from uyyyyyyyyyuyurryy. What is prob of picking 1 r and 3 u? 1/1190 Two letters picked without replacement from {r: 2, d: 1}. What is prob of picking 1 d and 1 r? 2/3 What is prob of picking 4 h when four letters picked without replacement from {h: 9}? 1 What is prob of picking 2 j and 2 h when four letters picked without replacement from hccahabjcaabahjaba? 1/1020 Four letters picked without replacement from rarpppbbbrfppzapzp. Give prob of picking 1 a, 1 f, and 2 z. 1/1530 Calculate prob of picking 1 r and 1 g when two letters picked without replacement from {x: 2, g: 4, j: 1, r: 1, b: 1, a: 3}. 2/33 Four letters picked without replacement from ccczzczzbezecbzbe. Give prob of picking 1 e and 3 b. 3/2380 Calculate prob of picking 1 d and 1 t when two letters picked without replacement from {e: 1, a: 1, n: 1, d: 1, t: 1}. 1/10 Two letters picked without replacement from {i: 2, k: 1, o: 3, e: 1, d: 3}. What is prob of picking 1 e and 1 o? 1/15 Four letters picked without replacement from {c: 2, y: 6}. What is prob of picking 2 y and 2 c? 3/14 What is prob of picking 1 a and 1 f when two letters picked without replacement from ufzaffzffzffz? 7/78 Two letters picked without replacement from {y: 2, c: 3, z: 5}. What is prob of picking 1 c and 1 z? 1/3 Four letters picked without replacement from {d: 5, g: 5, o: 3}. Give prob of picking 3 d and 1 g. 10/143 Calculate prob of picking 1 x and 3 i when four letters picked without replacement from xxiiikiiiixikkixii. 11/51 Four letters picked without replacement from {n: 2, l: 2, k: 4}. What is prob of picking 2 k and 2 n? 3/35 Calculate prob of picking 2 v when two letters picked without replacement from vdivdiidivvdvii. 2/21 What is prob of picking 2 p when two letters picked without replacement from {l: 1, m: 4, p: 2, t: 2, h: 2, u: 1}? 1/66 Calculate prob of picking 2 m and 1 f when three letters picked without replacement from mxxxmmmfmxfxxxxmmm. 7/102 Two letters picked without replacement from {r: 1, e: 2, b: 7, l: 2}. What is prob of picking 1 e and 1 b? 7/33 Two letters picked without replacement from tuuptuptupupuptu. Give prob of picking 1 u and 1 p. 7/24 What is prob of picking 1 i and 1 j when two letters picked without replacement from unuijnsnnxnsji? 4/91 Calculate prob of picking 2 h when two letters picked without replacement from {h: 2, a: 4, c: 7, v: 5}. 1/153 Calculate prob of picking 1 l and 2 e when three letters picked without replacement from {l: 4, m: 2, e: 2}. 1/14 Two letters picked without replacement from {d: 3, q: 1, n: 1, b: 1, l: 5, p: 3}. Give prob of picking 1 n and 1 b. 1/91 Calculate prob of picking 1 i and 2 l when three letters picked without replacement from ililiiillliill. 21/52 Three letters picked without replacement from ljjjjjpjccccj. Give prob of picking 1 l and 2 c. 3/143 Four letters picked without replacement from ttmtotttzttzztoototo. Give prob of picking 2 z, 1 o, and 1 t. 11/323 Calculate prob of picking 3 r and 1 g when four letters picked without replacement from {o: 2, g: 1, r: 3, w: 1}. 1/35 Four letters picked without replacement from eeeee. What is prob of picking 4 e? 1 What is prob of picking 1 t, 1 p, and 1 j when three letters picked without replacement from ptpfjpjefppfpffffpt? 28/969 Calculate prob of picking 1 b and 1 p when two letters picked without replacement from {b: 12, p: 1}. 2/13 Calculate prob of picking 1 s and 1 g when two letters picked without replacement from {g: 3, s: 7, a: 1, o: 3}. 3/13 What is prob of picking 3 p and 1 v when four letters picked without replacement from {m: 5, v: 2, p: 5, c: 7}? 5/969 What is prob of picking 1 y and 1 g when two letters picked without replacement from {y
{ "pile_set_name": "DM Mathematics" }
ithout replacement from {q: 4}. What is prob of picking 3 q? 1 What is prob of picking 1 m and 1 d when two letters picked without replacement from {d: 4, w: 1, l: 5, m: 2, n: 1, y: 2}? 8/105 Two letters picked without replacement from aiiiaiaaaaaiiiaa. What is prob of picking 2 a? 3/10 Calculate prob of picking 1 x and 3 z when four letters picked without replacement from zccxxzxzzccz. 2/33 Two letters picked without replacement from {a: 6, f: 9, s: 2}. Give prob of picking 2 a. 15/136 Calculate prob of picking 1 x and 1 m when two letters picked without replacement from {x: 3, m: 4}. 4/7 What is prob of picking 1 y and 3 v when four letters picked without replacement from yvvvyyvvvyvyvv? 60/143 Two letters picked without replacement from lqllqulce. What is prob of picking 2 q? 1/36 Calculate prob of picking 1 j and 1 z when two letters picked without replacement from zzjoz. 3/10 Calculate prob of picking 3 e when three letters picked without replacement from eeee. 1 Two letters picked without replacement from {l: 2, p: 4, d: 2, s: 4}. What is prob of picking 2 d? 1/66 Four letters picked without replacement from fzzzzzzfzzz. Give prob of picking 4 z. 21/55 Three letters picked without replacement from {b: 7, e: 2, v: 1, n: 4, m: 3}. Give prob of picking 1 e and 2 n. 3/170 Three letters picked without replacement from {o: 7, k: 6}. Give prob of picking 3 k. 10/143 Two letters picked without replacement from mmeeesmmsm. What is prob of picking 2 e? 1/15 Four letters picked without replacement from {t: 3, x: 5, u: 1}. Give prob of picking 1 t and 3 x. 5/21 Calculate prob of picking 2 m and 1 z when three letters picked without replacement from {f: 1, c: 2, z: 1, m: 3, v: 4}. 1/55 Four letters picked without replacement from xyyyxyayxyxxyb. Give prob of picking 1 a, 1 y, and 2 x. 10/143 Calculate prob of picking 1 s and 2 r when three letters picked without replacement from {a: 2, r: 2, s: 2}. 1/10 Three letters picked without replacement from {s: 5, c: 8}. What is prob of picking 2 s and 1 c? 40/143 Calculate prob of picking 1 t, 1 j, and 1 a when three letters picked without replacement from {j: 1, o: 2, s: 1, t: 1, m: 1, a: 1}. 1/35 What is prob of picking 1 w, 2 a, and 1 c when four letters picked without replacement from cccaxxrxwxax? 1/165 Calculate prob of picking 1 d and 2 r when three letters picked without replacement from rddrdrdrdrrwdrw. 18/65 Calculate prob of picking 2 o and 1 w when three letters picked without replacement from {s: 4, w: 5, o: 6, m: 5}. 5/76 Two letters picked without replacement from ewwawvwxaaa. What is prob of picking 1 w and 1 v? 4/55 Two letters picked without replacement from {u: 1, c: 2}. Give prob of picking 2 c. 1/3 What is prob of picking 2 m and 1 o when three letters picked without replacement from {o: 8, m: 2}? 1/15 What is prob of picking 1 c and 1 v when two letters picked without replacement from {v: 4, c: 4, i: 1, g: 2}? 16/55 Two letters picked without replacement from {d: 1, h: 1, g: 1}. Give prob of picking 1 h and 1 g. 1/3 Four letters picked without replacement from {e: 3, m: 2, z: 7}. What is prob of picking 2 m and 2 z? 7/165 Four letters picked without replacement from uommuuzummozzo. Give prob of picking 2 u and 2 m. 36/1001 Four letters picked without replacement from odqoqeeawqadaqwqqaee. What is prob of picking 1 q, 2 e, and 1 o? 24/1615 Four letters picked without replacement from {w: 3, s: 1, l: 3, m: 2, a: 3, t: 1}. What is prob of picking 1 l, 1 t, and 2 m? 3/715 Two letters picked without replacement from {v: 1, f: 2, r: 1, t: 2}. What is prob of picking 1 v and 1 t? 2/15 Four letters picked without replacement from tetvaavvvatv. Give prob of picking 3 a and 1 e. 1/495 Calculate prob of picking 1 u, 1 m, and 1 a when three letters picked without replacement from aaauxawmuxxa. 1/22 What is prob of picking 1 l and 2 a when three letters picked without replacement from {f: 2, l: 7, n: 1, a: 10}? 21/76 Two letters picked without replacement from {a: 1, x: 1, i: 2, n: 2, p: 1, l: 1}. Give prob of picking 1 i and 1 a. 1/14 Calculate prob of picking 1 c and 1 h when two letters picked without replacement from htfccttgftcfffff. 1/40 Three letters picked without replacement from nngbbla. Give prob of picking 1 a, 1 g, and 1 n. 2/35 Two letters picked without replacement from {m: 4, x: 7, l: 3}. What is prob of picking 1 m and 1 l? 12/91 Calculate prob of picking 1 l and 1 b when two letters picked without replacement from {b: 7, l: 4}. 28/55 What is prob of picking 2 t and 1 u when three letters picked without replacement from {u: 3, t: 2}? 3/10 Two letters picked without replacement from pjpjzpkzjn. What is prob of picking 1 k and 1 n? 1/45 Two letters picked without replacement from dddcddcdd. What is prob of picking 2 c? 1/36 Two letters picked without replacement from {z: 6, d: 4, j: 3, h: 2}. Give prob of picking 1 h and 1 j. 2/35 Four letters picked without replacement from {s: 6, r: 4, k: 4, o: 3}. What is prob of picking 2 o and 2 s? 9/476 What is prob of picking 4 r when four letters picked without replacement from rrrrrrrrrrranrr? 11/21 Three letters picked without replacement from {s: 3, k: 8, v: 1, x: 4, m: 1}. Give prob of picking 2 k and 1 s. 21/170 Two letters picked without replacement from {s: 4, k: 10}. Give prob of picking 1 s and 1 k. 40/91 Calculate prob of picking 2 z when two letters picked without replacement from zffzzrrrffffrfzz. 1/12 Two letters picked without replacement from {j: 1, m: 5, i: 5, p: 7}. Give prob of picking 2 i. 10/153 Calculate prob of picking 3 d when three letters picked without replacement from {q: 8, g: 1, d: 4}. 2/143 Four letters picked without replacement from iinigqiqgginiiirrir. Give prob of picking 1 q and 3 i. 14/323 What is prob of picking 2 p when two letters picked without replacement from cjcecppaaoca? 1/66 Calculate prob of picking 1 y and 1 l when two letters picked without replacement from {l: 3, y: 1}. 1/2 Three letters picked without replacement from {o: 3, h: 12, u: 3}. Give prob of picking 1 u and 2 h. 33/136 Two letters picked without replacement from {f: 1, q: 1, c: 1, n: 3, w: 1}. Give prob of picking 1 q and 1 c. 1/21 Three letters picked without replacement from crrcrcxccxr. What is prob of picking 1 c and 2 r? 2/11 Four letters picked without replacement from nbndjpn. What is prob of picking 1 b, 1 p, 1 n, and 1 j? 3/35 Calculate prob of picking 2 n when two letters picked without replacement from tnnnnnnnntnntn. 55/91 What is prob of picking 2 k when two letters picked without replacement from kalek? 1/10 Two letters picked without replacement from {v: 3, r: 5, k: 2, c: 1, x: 1}. Give prob of picking 1 c and 1 v. 1/22 Two letters picked without replacement from xxxywryx. Give prob of picking 1 r and 1 x. 1/7 Three letters picked without replacement from hbhzbzbbbbbbhbbbbbbb. What is prob of picking 1 z and 2 h? 1/190 Two letters picked without replacement from cvcvvcvvccvccvcc. Give prob of picking 2 v. 7/40 What is prob of picking 2 m when two letters picked without replacement from gcmkctmmkk? 1/15 Two letters picked without replacement from zzfwwkffwfrfzfffrf. What is prob of picking 2 w? 1/51 Calculate prob of picking 3 x and 1 m when four letters picked without replacement from {m: 6, x: 7, s: 1}. 30/143 Three letters picked without replacement from {a: 7}. Give prob of picking 3 a. 1 Two letters picked without replacement from {t: 1, b: 5, w: 1, x: 1, g: 9, h: 1}. What is prob of picking 1 t and 1 w? 1/153 What is prob of picking 1 r and 1 j when two letters picked without replacement from bpbkkkkhpbrkjkb? 1/105 What is prob of picking 2 f and 2 u when four letters picked without replacement from jjffjjjjjfufjjffujj? 5/1292 Calculate prob of picking 2 e when two letters picked without replacement from {y: 1, e: 2, b: 1}. 1/6 Three letters picked without replacement from ammmmmmmmmaaaa. Give prob of picking 2 a and 1 m. 45/182 Two letters picked without replacement from xqxxxqxqxxq. Give prob of picking 2 x. 21/55 Two letters picked without replacement from tiaiaiouii. What is prob of picking 2 a? 1/45 Three letters picked without replacement from yladwby. Give prob of picking 1 w, 1 a, and 1 y. 2/35 What is
{ "pile_set_name": "DM Mathematics" }
Suppose -w*s = 10, -s = 2*c - 7*c + 27. Calculate the least common multiple of c and 9. 45 Suppose h - 3*d = -148, -431 = 2*h + h + 4*d. Let m = h - -156. Let c = 45 - 28. What is the least common multiple of m and c? 187 Let g = -2872928/8438565 + 3/29609. Calculate the common denominator of -43/6 and g. 570 Suppose -40 = 4*m - 0*v + 5*v, 2*m + 20 = -5*v. Find the common denominator of -75/4 and (2/m)/((-4)/43). 20 Let r(l) = -2*l**2 + 18*l + 8. Calculate the least common multiple of 24 and r(8). 24 Suppose -27 = -2*m + 13. Suppose -2*d - 20 = -3*d. Calculate the smallest common multiple of d and m. 20 Let m be 60*(35/10 + (-1 - 0)). Calculate the lowest common multiple of 2 and ((-16)/(-10))/(12/m). 20 Suppose 2*d - 21 = -5*d. Let s be 21/(-6)*-2 + 1. Suppose 5*n - 2*j - 14 = 0, 2*n + 0*j = 2*j + s. What is the smallest common multiple of d and n? 6 Let s be -9 + 2 + 3*-1. Let y be (s - -7)/(2 - 1). Let h = 12 + y. What is the lowest common multiple of 9 and h? 9 Suppose -15 = -3*d - 9. Suppose 3*n = -3*c + 30, -2*c - d*n + 10 = -c. What is the least common multiple of 8 and c? 40 Let j = 1609 + -1602. What is the smallest common multiple of (-21)/(-15) + (-2)/5 and j? 7 Calculate the smallest common multiple of (-345)/(-10) + (-2)/4 and 30*10*(-6)/(-90). 340 Let y(s) be the second derivative of s**3/6 + 47*s**2/2 + 7*s - 1. What is the lowest common multiple of y(-15) and 36? 288 Let m(b) = b**2 + 5*b - 9. Let s be m(-7). Suppose -s*y + 133 - 23 = 0. What is the least common multiple of y and 8? 88 Let l be -4 + (4 - 7783/10). Let q = -775 - l. Find the common denominator of -53/10 and q. 10 Let t(c) = -c**3 - 36*c**2 - 8*c - 208. Calculate the smallest common multiple of t(-36) and 5. 80 Suppose -11*s + 282 - 62 = 0. What is the lowest common multiple of s and 146? 1460 Find the common denominator of ((-416)/512)/(0 + (-46)/(-28)) and 21/253. 2024 Let u = -310 - -328. Calculate the least common multiple of u and 69. 414 Calculate the common denominator of 77/12 and (-2 - -3)/54*(-183)/(-2). 36 Suppose -g + 22 = 5*j - 4*g, 0 = -3*j + 3*g + 12. What is the common denominator of j and -89/6? 6 Suppose -250 = -11*h - 8. Calculate the smallest common multiple of h and (-4)/8 + (-29)/(-2). 154 Let y(r) = r. Let u be y(3). Suppose -2*a - u*a - 3*h + 75 = 0, 5 = h. What is the smallest common multiple of a and 21? 84 Suppose -d - q = 13 - 21, -3*d + 5*q + 32 = 0. Calculate the least common multiple of 6 and d. 18 Let y be (-3)/((-4)/42*-5). Let w = -144/5 - y. What is the common denominator of w and (-5)/(-8)*(-11)/(-2)? 16 Let u = 3 - 12. Let a = u - -15. Calculate the smallest common multiple of a and 19. 114 Let d = 7146770/147 + -48617. What is the common denominator of 97/70 and d? 1470 Let f be (6 - (-84)/(-16))*(-151)/(-3). Let o = 647/12 - f. What is the common denominator of o and 101/4? 12 Let a(u) = u**3 - 15*u**2 + 28*u - 4. Calculate the smallest common multiple of 1 and a(15). 416 Calculate the common denominator of 53/4 and (-10577)/1530 + (83 - 76). 3060 Let z = 1384/9 - 153. What is the common denominator of z and (-2 - 0)/((-11)/(-8))? 99 Let d = 33 - 35. Find the common denominator of (-3)/(-20)*14 - d and 21/4. 20 Calculate the common denominator of 25/546 and ((-2)/14)/(80/4280). 546 Calculate the lowest common multiple of ((-14)/6)/((55/(-60))/11) and 16. 112 Let i = -20 - -24. Suppose m = -1 - 10. Calculate the common denominator of 75/36 - i/(-6) and m. 4 Let h(t) = -t**2 - 6*t + 2. Let k(v) = -v**2 + 2*v - 3. Let j be k(3). Let r be h(j). Find the common denominator of -103/6 and r/((-40)/83) - -2. 60 Let q(j) = -2*j + 26. Let w be q(-5). What is the common denominator of (0 - -1) + (-2 - (-159)/w) and (-1)/18*141/2? 12 Let s = -1222051/2106 + 7542/13. Calculate the common denominator of s and 101/198. 1782 Suppose 46 = 2*w - 2*f, 2*w + 3*f - 43 = 8*f. Let j = w - 20. Suppose 9*x - 20 = j*x. What is the smallest common multiple of 2 and x? 4 Suppose 3*t - 2*t - 5 = 0. Calculate the smallest common multiple of 66 and t. 330 Let c be -2 + (-24)/(-14) - 120/21. What is the smallest common multiple of 12 and (-4)/(-1)*c/(-8)? 12 Let h(k) = -3*k - 2*k**2 + k**3 - 7*k - 3 - 8*k**2. Let a be h(11). Let m = a - 2. What is the lowest common multiple of m and 10? 30 Suppose -64 + 20 = -4*k. What is the common denominator of k and 24*(-4)/54 + -4? 9 Let z = 53 - 52. Let r = -1/4401 - -237661/30807. Calculate the common denominator of r and -4 + z + 166*(-1)/36. 126 Let f = 425 + -392. What is the least common multiple of 3 and f? 33 Suppose -22*n + 36*n = 112. What is the smallest common multiple of 24 and n? 24 Let q be (-3)/1 - (-3532209917018299)/260084. Let p = q - 13581035011. Let c = -1/5911 + p. What is the common denominator of -89/8 and c? 8 Let k(j) = 4*j**2 + 3*j + 5. Let g be k(5). Let y be (635/g)/(119/(-195)). Let o = -54/119 + y. Find the common denominator of o and 61/8. 8 Suppose 2*a = -2*a + 8. What is the least common multiple of (84/(-8))/(-7)*a and 6? 6 Let z(c) = -2*c + 46. What is the smallest common multiple of 60 and z(20)? 60 Let j = -127/138 - -2/23. Let o = -101/123 - j. Let a = 593/123 + o. Find the common denominator of -63/16 and a. 48 Let g(d) = -3*d**3 + 10*d**2 + 3*d - 22. Let c be g(7). Let q be -79*5*-1*3. Calculate the common denominator of 4/3 and (q/c)/(1/3). 12 Suppose 7*l + 18 - 634 = 0. What is the smallest common multiple of 72 and l? 792 What is the common denominator of -23/15 and -2*((-800)/84)/10? 105 Let z(x) = -13*x + 43. Let u be z(5). Find the common denominator of ((-12)/14)/((-4)/(-21)) and (u/21)/((-12)/36). 14 Let l(q) = 72*q**2 + 2*q - 2. Let y be l(1). Find the common denominator of -43/3 and (2 - (5 + 0))*(-124)/y. 6 Suppose -20*p = -25*p + 20. What is the lowest common multiple of p and 64 - (8 - (0 + 4))? 60 What is the common denominator of (-30)/(-40)*(-26)/438 and -143/18? 2628 Find the common denominator of -39/110 and (-1771)/(-2904) + 2/4*-2. 1320 Let t(w) = -11*w**2 + 4*w**2 - w**3 + 2*w - 32*w + 9 + 20*w**2. Calculate the lowest common multiple of t(10) and 58. 522 Suppose u + o + 9 = 0, 3*u + 11 = -u + o. Calculate the least common multiple of 18 and 7 + -2 - (u + 3). 18 Let c = 45 + -41. Let t(f) = 2*f - 8. Calculate the least common multiple of ((-15)/(-6))/(1/c) and t(8). 40 Let b(j) = -j + 22. Let d(u) = -u**3 - 5*u**2 - 11*u - 10. Let i be d(-4). What is the least common multiple of 2 and b(i)? 4 Suppose 5*a = 7*a. Let m(y) = a + 0 - 6*y + 1 - 3. Calculate the smallest common multiple of 12 and m(-4). 132 Let p = -414453/22 - -18835. What is the common denominator of p and -57/74? 814 Let p = -12 - -14. Calculate the common denominator of 0 + p + (-93)/(-30) and -5/2. 10 Let i be (-2)/13 + -2 - 6/(-39). What is the lowest common multiple of 16 and (i/3)/(7/(-126))? 48 Let f be (-8)/(-44) + 167/(-11). Calculate the least common multiple of ((-12)/(-3))/((-20)/f) and 1. 3 Let m = -4092/5 + 351487/430. Calculate the common denominator of m and ((-1)/(-4))/(2/(-3)*13/(-234)). 172 Calculate the lowest common multiple of 12 + -69*342/(-27) and 8. 3544 Let m be (1 - (-1)/(-2))*-4 + 12. Suppose 0 = 2*h + x - m, -h - 26 = -5*h + x. Calculate the smallest common multiple of 4 and h. 12 Let c = 16480/10179 + 4/377. What is the common denominator of c and -151/54? 54 Let t = -198535/27 - -7352. What is the common denominator of (2669/6)/(-17) - (-9)/6 and t? 27 Let t(n) = 4*n**3 + 13*n**2 + n + 3. Let z be t(-6). Find the common denominator of -63/26 and z/6*11/33. 78 Let r be 1060/14 - 4/(-14). Let z = r - 66. Suppose 2*l - 14 = 30. Calculate the lowest common multiple of l and z. 110 Let n(k) = k**3 - 3*k**2 + k - 2. Let f be n(3). Let h = 0 + 11. Calculate the least common multiple of -8*(-5)/10*f and h. 44 Let o be (-2)/(-2) + 126 - 1. Let l = -1/311 + -9012/2177. What is the common denominator of ((-1)/33)/(4/o) and l? 154 Let q = -539/3 + 4205/21. Let s = q + -589/14. Suppose 2*n - 42 = -3*p + 5*p, 2*n + 2*p = 50. What is the common denominator of n and s? 2 Let n = -290389/18 + 16140. What is the common denominator of n and -10/21? 126 Let w(n) = 3249*n**2 + 14*n + 3. What is the least common multiple of w(-1) and 16? 25904 Let u be (63/2)/(6/(-104)). Find the
{ "pile_set_name": "DM Mathematics" }
g k is positive. k**(-7283/62) Simplify (y*y/(y*(y/y**16)/y*y*y))/(y*y/(y*y**(4/3)*y*y*y)*y)*y*y**(-1/22)*y*y*y**2 assuming y is positive. y**(1471/66) Simplify (a**(-5)*a*a*a*a*a**(-4)*((a*a**(-1))/a*a)/a*a**4)**(1/14) assuming a is positive. a**(-1/7) Simplify (((y/y**(-1/3))/y)/(y/((y*y/y**(2/27))/y)))/(y/(y**(-5)*y))**(5/9) assuming y is positive. y**(-68/27) Simplify (((o/(o**(1/11)/o*o))/o*o)/(o/(o*o**11/o*o)))/(o**(-2/5)*(o*o*o**(-8)/o)/o) assuming o is positive. o**(1117/55) Simplify (((y/y**10)/y)**(-4/3))**(-7) assuming y is positive. y**(-280/3) Simplify ((x/(x**12*x*x))/x*x/((x/((x*(x/(x*x*x**(-2/3)*x*x*x*x))/x*x)/x))/x))/(((x/x**(-5/3))/x*x*x)/x*x)**(1/5) assuming x is positive. x**(-271/15) Simplify s**7/s*s*s**(2/9)*s*s**(1/6)/s**(-4) assuming s is positive. s**(223/18) Simplify u*u**10*u/u**4*(u/((u*u*(u**0*u)/u)/u)*u)**(1/75) assuming u is positive. u**(601/75) Simplify (((j/(j**(2/3)*j))**(1/34))**(-6))**(-34) assuming j is positive. j**(-4) Simplify l**3*l**2*l*(l/(l/((l*l/l**(5/2))/l))*l)**(-15) assuming l is positive. l**(27/2) Simplify (q**4/((q*q**(-2/17)*q)/q)*q**(1/2)/(q/q**3))**16 assuming q is positive. q**(1528/17) Simplify ((((d*d*d**(-2/7)/d*d*d)/d)/d**1)/(d/d**0)**(-50))**(-10/11) assuming d is positive. d**(-3550/77) Simplify (g**22*g*g)**42*(g**(-3/10)*g)**(-24/7) assuming g is positive. g**(5028/5) Simplify m/((m/(m/(m**9/m*m)))/m)*m*m/(m**10*m)*(m*m*m**(-1/7))**12 assuming m is positive. m**(44/7) Simplify ((b**(2/7)*b*b*b)**(-1/16))**8 assuming b is positive. b**(-23/14) Simplify (((j/((j/(j/(j**(1/2)/j)))/j))/(j/j**(-1/5)))/((j/j**(-1))/j*j/j**1))**(-2/13) assuming j is positive. j**(-3/65) Simplify b**9*b/(b**(-6)/b)*(b**(-2/5)/b*b)**14 assuming b is positive. b**(57/5) Simplify (a**(-3/5)/((a*a**(-6/5))/a))/(a*a*(a*a/(a**1*a))/a*a)**(8/7) assuming a is positive. a**(-59/35) Simplify (c/(c/c**17)*c*c/(c*c**(-18)))/(c*c**(-2/25)*c*c**(-1/11)*c) assuming c is positive. c**(9122/275) Simplify (k**3)**4*(k**(-10))**(1/6) assuming k is positive. k**(31/3) Simplify (r**(12/7)/r)**2/(r**24/((r/(r/r**4))/r)) assuming r is positive. r**(-137/7) Simplify (((u**(-1/3))**(-19))**(-20))**25 assuming u is positive. u**(-9500/3) Simplify ((h**4/h)/(h*h*h/h**4*h)*(h**1*h)**(13/5))**17 assuming h is positive. h**(697/5) Simplify ((p/p**(-3/17))/p**(1/4))/((p/p**(-2/17))/p**(-1/7)) assuming p is positive. p**(-159/476) Simplify (x/((x*(x**12/x)/x)/x))/x*x*x**(2/71)*x*x*x**(-4/13)*x**(-24) assuming x is positive. x**(-28871/923) Simplify (o*o*o/((o*o**(-2)*o)/o*o))/o**(-17)*o**(-2/59)/o*o*o**(-17)/o assuming o is positive. o**(116/59) Simplify (p*p**(-18))**(-50)*(p/(p/(p**(2/93)*p)))**(-27/5) assuming p is positive. p**(26179/31) Simplify (k**(1/13)/(k*k/k**(-6)))/(k*((k/k**18)/k)/k*k**(9/8)) assuming k is positive. k**(931/104) Simplify (x*x**(-3/4))/(x**(-1/6)*x)*(x/x**(-6/5))/x**1 assuming x is positive. x**(37/60) Simplify (m/(m**24*m)*m/((m/m**(-32))/m))**(-1/21) assuming m is positive. m**(55/21) Simplify (b*(b**1*b*b)/b)**12/((b/(b**(1/3)/b)*b)/b)**48 assuming b is positive. b**(-44) Simplify k**(-1/3)*k**(3/5)*((k*k/k**(-1/2))/k)**(2/29) assuming k is positive. k**(161/435) Simplify (j**(2/17)/j**(2/11))/(j/((j*j**7)/j))**(1/2) assuming j is positive. j**(549/187) Simplify (a**0)**(-1/3)*(a/a**(-4/23))/(a*(a/a**10)/a) assuming a is positive. a**(234/23) Simplify (t/t**(1/6)*t)**(-2)/(t**(-3/4))**25 assuming t is positive. t**(181/12) Simplify (r**(2/5))**(-3/2)/(r**(4/7)/(r/r**(-1/18))) assuming r is positive. r**(-73/630) Simplify (u**(-4))**(-6/13)/((u**(3/8)*u)/(u*u/(u/(u*u/(u**(-2/11)*u))*u))) assuming u is positive. u**(1891/1144) Simplify ((y**(-12/7))**(-43))**(-18) assuming y is positive. y**(-9288/7) Simplify q**8*q*q**16*(q/(q*q/q**10*q))/q**(-1) assuming q is positive. q**34 Simplify (y**(-1/2)/y**11)/((y**1*y)/(y/(y**(6/5)/y)*y*y)) assuming y is positive. y**(-107/10) Simplify (x**(2/15)*x)**(-19)/(x/(x**(-5)*x)*(x*x**34)/x) assuming x is positive. x**(-908/15) Simplify (m*((m/m**24)/m)/m)/(m/m**(1/17))*(m*m**1*m*m)**(-43) assuming m is positive. m**(-3348/17) Simplify (t**(-2))**(-2/27)/((t**(-1/5)/t)/t**7) assuming t is positive. t**(1127/135) Simplify ((l/(l*l*l**(-22/5)*l))/l*l*l/l**(-33))/(l**25*l*((l/l**(-6/19))/l)/l) assuming l is positive. l**(1053/95) Simplify (a**3)**(-14)/(a**(3/4))**(1/12) assuming a is positive. a**(-673/16) Simplify (((l*l*l**(-2))/l)/l*l**(-5/4)*(l**(-1/2))**(-46))**(-21/4) assuming l is positive. l**(-1659/16) Simplify (p*p**(-2/7)/p)**(-4/7)*(p**(-1/11)*p*p*p*p)**(4/9) assuming p is positive. p**(9220/4851) Simplify (h**(-5)/(h*h**5))/((h*h/(h/h**7))/(((h**(1/17)/h)/h)/h)) assuming h is positive. h**(-373/17) Simplify b/(b/b**(-12))*b**23*b*b**(10/3)/(b**30*b) assuming b is positive. b**(-47/3) Simplify (((l/(l/(l/((l*l*(l/l**6)/l*l*l)/l))))/(((l**0/l*l)/l)/l*l))/(l**(5/2)/l**7))**(-5/17) assuming l is positive. l**(-95/34) Simplify ((q*q**(-10)*q)/q)**(-5/7)/(q/(q/q**13))**37 assuming q is positive. q**(-3322/7) Simplify (h**(14/5)/(h/((h**17*h)/h)))/(h**(-3)*h*h**(-2/51)) assuming h is positive. h**(5314/255) Simplify (y/((y*y/y**3)/y))**(-1/10)/(y**(-6/11)/y**(-25)) assuming y is positive. y**(-2723/110) Simplify ((d*d*d**(-1/3)*d*d)**(2/15)/(d**1*d)**42)**30 assuming d is positive. d**(-7516/3) Simplify (s**(-6/19)/(s*((s/(s/(((s/((s*s**(-10)/s)/s))/s)/s))*s)/s)/s))/((s*s**(-21))/(s*s**(4/17))) assuming s is positive. s**(3527/323) Simplify ((((f**(-2/9)*f)/f)**(-11/5))**(-5/2))**(-8) assuming f is positive. f**(88/9) Simplify (((t*((t/(t**(-1)*t))/t)/t)/t)**(7/5)/((t**(-8)/t*t)/(t/(t/t**(-7))*t)))**(-13) assuming t is positive. t**(-39/5) Simplify (u**(2/15)/u*u)**(-22/7)/(u**0/((u*u/((u**11*u)/u)*u)/u)) assuming u is positive. u**(-989/105) Simplify ((v**(-2/17)*v)/v**(-2))/(v**(1/13)*v*v*v**(-10)) assuming v is positive. v**(2388/221) Simplify (a*a**(3/11)*a)/a*a**(-34)*a*a**(-35)/a*a*a**18 assuming a is positive. a**(-536/11) Simplify ((j*j/(j/((j/(j/j**(-5/2)))/j)*j)*j)/((j*j/(j/j**(2/29))*j)/j*j*j*j)*j/j**(-6)*j**(2/5))**48 assuming j is positive. j**(5784/145) Simplify ((x*x**(1/2))/x**(16/7))**37 assuming x is positive. x**(-407/14) Simplify (d/(d/(d*(d/(d*d/(d**(-3/4)/d)))/d)*d)*d**28/d)**13 assuming d is positive. d**(1209/4) Simplify ((c/((c**(1/5)/c)/c))/(c**(1/9)*c*c*c*c)*(c*c*c**3)/((c**8*c*c*c)/c*c))**(-2/67) assuming c is positive. c**(658/3015) Simplify ((d/(d**(18/13)*d))/d**(3/5))/(d*d*d**(6/5))**12 assuming d is positive. d**(-525/13) Simplify ((u*u**30*u*u)/((u*u*u/u**(9/2)*u)/u))**(-13) assuming u is positive. u**(-897/2) Simplify f**(4/5)/f**(-1/7)*f**15/f**5 assuming f is positive. f**(383/35) Simplify k/((((k*k**0)/k)/k)/k)*(k*k*k*(k**6/k)/k)/k*(k*(k*k**(4/3))/k*k)/k*k**0*k assuming k is positive. k**(37/3) Simplify (w*w*w**(3/4))/(w*w*w*w**(1/3))*(w/(w**(-10)*w))/w*w**20 assuming w is positive. w**(341/12) Simplify (((a/(a*a*a/(a*a*a**7)))/(a*a*(a**(-7)*a*a)/a*a*a))**(1/15))**(-41) assuming a is positive. a**(-123/5) Simplify i**(-1/2)*i*i/i**(-11)*(i**(-1/4)*i)**(-2/139) assuming i is positive. i**(1736/139) Simplify ((((f/(f/(f*f**(-6/7)/f)))/f)/f)/f)**(18/11)/(f*f**(-1/6)*f**(-5/3)) assuming f is positive. f**(-2531/462) Simplify (r**(-1)*r**(-8/9)/r)/(r*r**(-2/7)*r*r*r**7/r*r*r*r) assuming r is positive. r**(-920/63) Simplify ((v/(v*v/v**(-3/5))*v**9)**(-18))**(-31/3) assuming v is positive. v**(6882/5) Simplify ((j*j**(-5/2))/j**5*(j**(2/5)*j)**(-1/2))**(-23) assuming j is positive. j**(828/5) Simplify (u/(u/u**13))/(u*(u*u**(-1/2))/u*u)*(u/u**(-11))**13 assuming u is positive. u**(335/2) Simplify g**(-10)/g**(2/5)*g*g/g**(-1/5)*g**12 assuming g is positive. g**(19/5) Simplify ((u/(u**(-16)*u))**(-8/11))**(5/17) assuming u is positive. u**(-640/187) Simplify (i**(3/7)/i)**(34/7)/(i**(-1/21))**(6/11) assuming i is positive. i**(-1482/539) Simplify ((a**(-27)/a)/a**24)/((a*a**14/a)/a)**(-5/11) assuming a is positive. a**(-507/11) Simplify ((z*z**(-20))/((z**(-29)*z)/z))/(z**(-14))**24 assuming z is positive. z**346 Simplify z**(12/7)/z**(-28)*(z*z**(1/12))/((z**(-25)/z)/z) assuming z is positive. z**(4855/84) Simplify ((k**5/(k/(k*k/((k**(9/2)/k)/k)*k*k)))**(-3/34))**(-5/2) assuming k is positive. k**(165/136) Simplify ((y**(2/5)*y)*
{ "pile_set_name": "DM Mathematics" }
0. Let r be a + -2 - -33*1. Solve -o = -5*l - r for l. -5 Let f(y) = -31*y - 4. Let l be f(-4). Suppose 3*s - l = -7*s. Solve -8 = 4*a + s for a. -5 Suppose 6*u - 2*u - 8 = 0. Let r be 124/(-10) + u/5. Let t = 14 + r. Solve -c = -t*c + 2 for c. 2 Let t be -12 + -7 + 2 + 22. Suppose -2*u = 3*c - 2, u = c - 4*u + 5. Solve c*r = t*r for r. 0 Let w(f) = f + 1. Let u(r) = r**2 + 22*r - 39. Let t(s) = -u(s) - 4*w(s). Let i be t(-27). Solve -5*a - 12 = i for a. -4 Let o(v) = 0*v**2 - 1 + v**2 + 2*v + 0*v. Let m be o(-3). Let d(l) = 11*l**2 + 2*l - 2. Let z be d(-1). Solve -z = p - m for p. -5 Let b = -128 + 134. Suppose b*w - 5 = 7. Let m be (-3 + 2)*1 - -3. Solve m = -0*r + w*r for r. 1 Suppose -4*n + 7 + 37 = 4*l, -4*n = -l - 44. Solve -7*r + n + 24 = 0 for r. 5 Let k = 3 + -132. Let r = k + 132. Solve 0 = 4*s - 3*s - r for s. 3 Let u(g) = -5*g + 230. Let f be u(41). Solve -8*s + f = 1 for s. 3 Suppose -3*c = -6*c + 18. Let v be (-45)/(-3)*4/c. Solve -4*g = -9*g + v for g. 2 Suppose -g = -5*s + 14, s - 4 = -6*g + 5*g. Solve c = 4 + g for c. 5 Suppose -13*p - 25 + 181 = 0. Solve -4 = -2*x - p for x. -4 Let i be 13/4 - (-23)/(-92). Solve 9*g = i*g for g. 0 Suppose -4*v = -4*o - 56, 5*o = -2*v + 28 + 14. Solve -1 + v = -3*c for c. -5 Let j = -8 + 10. Suppose j*z - 4*z = -4. Let n = z + -2. Solve -2*l = 8 - n for l. -4 Let q = -4 + 4. Let i(c) = -c**2 + 6*c - 3. Suppose y + 5 = 3*j + 21, 4*j = 5*y - 36. Let w be i(y). Solve q*k - w*k + 15 = 0 for k. 3 Suppose 6 = 2*d - 2, -2*g + 30 = d. Let s = g + -12. Let n be (s - 3) + 0 + 8. Solve -5*l = -n - 4 for l. 2 Suppose r = z + 6, 0 = 4*r - 3*z + z - 22. Let w be 4/(r/((-105)/6)). Let t = -10 - w. Solve t*x + 1 = -7 for x. -2 Let o be (-2)/((-4)/(-21) - (-3)/(-9)). Solve -o = -4*z + 6 for z. 5 Let x be ((-1)/3)/((-1)/6) - -4. Suppose 4*b - 3*j = -x, 0 = b - j + 2. Suppose -3*p + 20 = p. Solve p*d - d = b for d. 0 Let f(i) = i**2 + 12*i. Let w = -75 - -63. Let t be f(w). Solve t = -2*z + 3*z + 3 for z. -3 Let s(j) = j**2 + j - 17. Let d = 20 - 25. Let h be s(d). Solve x = 2 - h for x. -1 Suppose -805 + 2917 = 33*m. Solve -59 = s - m for s. 5 Suppose 331 = 20*o + 51. Suppose -5*j = 3*m - 6*m - 4, 3*j + 2*m - 10 = 0. Suppose 9*p - o = j*p. Solve -z + p = -3*z for z. -1 Let q be 105/45*30/35. Let t(r) = r**3 + 2*r**2 - 2*r - 1. Let j be t(-2). Solve c - q*c + j = 0 for c. 3 Let x be (-20)/8*(-3 + 1). Suppose -x*o - 18 = -28. Solve -10 = o*l + 3*l for l. -2 Suppose -2*r = -6*r - 80. Let c be 10/r*(-3 + -3). Solve 0 = -2*j - c*j + 20 for j. 4 Let m(j) = j**2 + 15*j + 60. Let a be m(-10). Suppose 0*o + 12 = -o - 4*q, q = -5*o - 3. Suppose w - 3 + 0 = 0. Solve o = c - w*c + a for c. 5 Let c be ((-24)/20)/(3 + 31/(-10)). Suppose 12 = -4*l, 3*x - 3*l - c + 3 = 0. Solve x = -4*v - v + 25 for v. 5 Let o(l) = -l - 3. Suppose -g = -6*g. Let p be o(g). Let h be 9 - (-3 - p) - 1. Solve v - 3*v = -h for v. 4 Suppose -5*k - 41 = -k + u, 19 = -2*k + u. Let h = k - -17. Let c(i) = 2*i**3 - 117*i**2 - 568*i + 65. Let v be c(63). Solve v*t = h*t for t. 0 Let p = -273 - -275. Solve 10*l = 8*l + p for l. 1 Let g(x) = -2*x + 10. Let t be g(9). Let i = -12 - t. Let l be i - 5/((-5)/4). Solve 3*b + 9 - 3 = l for b. -2 Suppose -343 = -18*y + 17. Suppose -56 + y = -4*c. Solve 5*p = 2*p - c for p. -3 Suppose 0 = 5*p + 2*o + 81, -o = -4*p + 4*o - 45. Let y(d) = d**3 + 14*d**2 - 17*d - 28. Let v be y(p). Solve 0*n - v*n - 10 = 0 for n. -5 Let y = 7 - 3. Let h(a) = -2*a**2 + 3*a + 4. Let l be h(y). Let f be l/(-9) - 2/(-9). Solve -2 = -q + f for q. 4 Let q(f) = -36*f + 187. Let l be q(5). Solve -l*c = -37 + 30 for c. 1 Suppose -v = -4, 4*v = 5*r - 28 - 261. Suppose 58*u + 18 = r*u. Solve -u = -4*f + 6 for f. 3 Suppose -2*i - 4*k - 24 = -4*i, -k - 1 = 2*i. Suppose 5*d + 16 = 4*w, -5*d + w - 12 = -i*w. Suppose 0 = 2*n + n - 24. Solve d = z + 3*z - n for z. 2 Let w be (-2 - -1)*(-18 + -1). Suppose 4*o + w = 27. Suppose 0*g - o*g = -2. Solve g = -f + 6 for f. 5 Suppose 10*y - 535 + 315 = 0. Solve 6 = -20*n + y*n for n. 3 Suppose 4*r = -42*v + 37*v + 29, -4*v + 24 = 3*r. Solve 4 = -13*t + v*t for t. -1 Suppose -11*f = -5*f - 150. Solve -3*a + 8*a - f = 0 for a. 5 Suppose -s + 11 + 0 = 0. Suppose -25 = 3*b + s. Let n = 14 + b. Solve -a - 3 = -n for a. -1 Suppose -99*i - 6*i + 1320 = 27*i. Let k = 1 - 1. Solve -i = 2*f - k*f for f. -5 Let t be (15/12)/(2/(-48)*-2). Suppose -13 - t = -7*p. Let r be 6*(16/6 - 1). Solve p*a + a = r for a. 2 Suppose -5*z - 4*j + 15 = 0, 2*z - j + 6 = -5*j. Suppose 0 = v - z*v + 72. Let c be (-3)/(0 + v/(-8)). Solve -c*i + 0*i = 0 for i. 0 Suppose -13*j + 18*j = -135. Let s be (j + 41)*(0 - (-20)/14). Solve 2*h + s = -2*h for h. -5 Let g(s) = s**2 - 12*s + 29. Let f be g(9). Suppose -4*a = -20 - 8. Let i be 1/((-6)/(-10))*3. Solve f*y - a*y = -i for y. 1 Let l = -222 - -257. Solve 5*r + 15 - l = 0 for r. 4 Let g(j) = j**3 - 11*j**2 - 24*j - 24. Let w be g(13). Solve 11 = 3*u + w for u. 3 Let z(c) = c**3 - 32*c**2 + 33*c - 51. Let f be z(31). Solve f*r - 7*r = 0 for r. 0 Let q be -2*5*18/(-15). Suppose 0*x - q = -2*x - b, -5*x - b = -27. Let z(v) = v - 5. Let f be z(x). Solve -c + f + 4 = 0 for c. 4 Let b(v) = -29*v - 390. Let p be b(-14). Solve 11*l - p = 39 for l. 5 Let o(y) = -y + 3. Suppose -3 - 9 = 4*v. Let t be o(v). Let s(m) = 4*m - 9. Let c be s(t). Solve -4*x + c + 5 = 0 for x. 5 Let p be ((432/80)/(-9))/((-1)/10). Solve 7*u - p*u = -4 for u. -4 Let w(s) = s**3 + 6*s**2 + s + 6. Let j be w(-6). Let y be -1 + -2 + 3 + j. Suppose -3*m - m + 12 = 0. Solve y = q - m*q for q. 0 Let b = 161 + -123. Suppose -33 + b = l. Solve 9*t = 4*t - l for t. -1 Let q be (-147)/(-28) + -4 + (-20)/16. Solve -6*v + 5*v = q for v. 0 Suppose -p + 1 = 7. Let g = p - -10. Let k be (g + -1)/3*8. Solve -3*m - k = m for m. -2 Suppose 6*c - 4*c = 4*b - 2, 5*b - 1 = 3*c. Solve c*q - 14 = -5 for q. 3 Suppose m - 28 = -v - 4*m, 4*v - m - 28 = 0. Suppose -11*z = -7*z - v. Solve y + z - 3 = 0 for y. 1 Let n = 87 + -84. Solve 6*l = 5*l - n for l. -3 Let a = 24 + -5. Let s = a + -13. Suppose -9*h + 24 = -s*h. Solve h = -m + 5*m for m. 2 Suppose 5*s - 14 = -3*z, 3*z + 16 = 3*s + z. Solve -9 = -s*m + m for m. 3 Let r(g) = 3*g**2 - 2*g - 17. Let x be r(5). Let a be (-2*6)/((-36)/x). Solve 5*i + a = i for i. -4 Suppose -6 = -4*b + b. Let l(w) = w**2 - w. Let y be l(b). Suppose -h + y + 1 = 0. Solve -h*i = i for i. 0 Let b = 294 + -292. Solve -b*r + 4 = 2*r for r. 1 Let a(h) = h**3 - 3*h**2 + 3*h + 2. Let t be a(2). Suppose -3*x + 5*r + 8 = 0, t*x = 8*x + 5*r + 1. Solve 3 = m - x for m. 4 Let i = 7 - 10. Let r be (0*i/(-6))/1. Suppose 5*f - c = 15, 5*f - 2*c + 3*c - 25 = 0. Solve r = f*p - 12 - 8 for p. 5 Suppose -36*q = -32*q - 24. Solve -q = -3*t - 0 for t. 2 Let u = 9 + 7. Let f = -12 + u. Solve -7*b + f*b + 15 = 0 for b. 5 Let a = 181 - 181. Solve x + 4*x + 20 = a for x. -4 Suppose 2*z - 8 = 0, 4*z - 46 = -4*c + 2*c. Let x be (-1)/((-9)/4 - -2). Solve j - c = x*j for j. -5 Suppose j + 4*q = 10, -4*j + 140 = j + 2*q. Solve 0 = 2*a - 28 + j for a. -1 Suppose -24*a = -113 - 79. Solve -a = 3*c - 5*c for c. 4 Let b be (2 - -1) + 0 + 1. Suppose -y = b*y - 3*m - 53, -y = 2*m - 8. Suppose 5*q = -4*f + y, -f - 6 = q - 4*q. Solve -4*i = -6 + q for i. 1 Suppose 2*t + 0*t - 133 = -5*c, 5*t = -4*c + 120. Solve -7*d - c = -2*d for d. -5 Suppose -4*u + 3*b = -48, u + 3 = -b + 15. Solve u = -4*x + 4 for x. -2 Suppose -4*z + 109 = -3*u, 0*z - z - 2*u + 19 = 0. Solve -z = -2*d - 3*d for d. 5 Let d be 52/(-39) + (-28)/(-3). Solve -d*w + 18 = w for w. 2 Let z = -8 - -56. Let u = z + -45. Solve -u*c = -c + 8 for c. -4 Let a = -48 - -31. Let w = a - -29. Solve 0*u - w = -3*u for u. 4 Let d(a) = -15*a + 207. Let k be d(13). Solve 0 = -26*q + 30*q + k for q. -3 Let k = -396 + 398. Solve 2*h = -10 + k for h. -4 Let k = 38 - 29. Solve 7*s = k*s - 10 for s. 5 Suppose 0 = 2*k - 77 + 527. Let w be k/18*(-16)/5. Suppose 3*z - w = -5*v, 2*z - z + 10 = 3*v. Solve -z*o = -10 - 10 for o. 4 Suppose 32 = 4*v - 4*u, 4*v - 6 = -5*u + 26. Suppose 0 = x + n + 2, -10 = -x + 4*n + v. Solve -x*f + 12 = -5*f for f. -4 Suppose 0*d - 4*d = -d. Solve -5*f + 6 - 1 = d for f. 1 Let q be (10/(-4))/(12/(-24)). Suppose o = 2*o - q. Solve -l + o - 1 = 0 for l. 4 Let j(n) = 4*n - 11. Let r be j
{ "pile_set_name": "DM Mathematics" }
*p + 20 = 58*p + 3*l, -l + 9 = 0. What is the smallest value in m, -4, p? p Let g = 7149 + -7612. Which is the second biggest value? (a) -3/4 (b) g (c) 3/7 a Let g = -2537 - -2537. Let c = -19 + 18.8. What is the third biggest value in c, 0.4, 1/2, g? g Let w be (-5 - -1) + 5/(40/36). Let z(y) = y**3 + 10*y**2 - 14*y - 33. Let a be z(-11). What is the fourth smallest value in a, w, 15, -0.4? 15 Let q = 55498/3 - 18499. Which is the fourth biggest value? (a) -2/17 (b) 0.5 (c) q (d) 4 a Suppose 60 = 3*p + 5*k, 4 + 5 = 3*k. Suppose -2*u - p = 4*z - z, 0 = -4*z + 3*u - 3. What is the third smallest value in 15, -0.5, z, -0.4? -0.4 Let x = -229.094 + 229. Let f = -4.094 - x. Let r be ((-3)/(-2))/(14/4). Which is the third smallest value? (a) f (b) 0.2 (c) r c Let f(m) = m**2 - 21*m - 54. Let h be f(22). What is the fourth biggest value in 33, h, 4, 1/2? h Let u = 0.057637 + -1.057637. Let h be (-4)/20 + 26/105. Let z be 0 + 1/(3/2). Which is the biggest value? (a) h (b) z (c) -0.4 (d) u b Suppose -22*v - 17*v = -47*v + 256. What is the smallest value in v, 1/9, -5/4, 0.4? -5/4 Let z = -1770/13 - -136. Let p = 2221.2 + -2220.2. Which is the third biggest value? (a) z (b) 5 (c) p (d) 3 c Suppose 21 = -3*l, -j - 343*l + 348*l = -48. Which is the third smallest value? (a) -2 (b) 0.2 (c) -78 (d) j b Let d = 1.1596 - 2.1596. What is the second biggest value in 2/3, d, 0, -5, 49? 2/3 Let t = -3.632 - 1.368. Which is the third biggest value? (a) -3 (b) 3 (c) -43 (d) t d Suppose 61*s = 34*s + 81. Suppose -3 + 1 = p, -5 = -s*y - 2*p. What is the biggest value in y, 19, 0.05? 19 Let k = -12.559 + 7.559. Which is the smallest value? (a) -0.02 (b) 487 (c) k c Let p be 1/((-222)/(-110) - 2). Let y = 54 - p. Let i = -312 - -312. Which is the biggest value? (a) i (b) y (c) -11 a Let k = -0.11251 - 4.88749. Let n be (-4)/(-3) + (-4)/(-6). Let o be n/8 - 28/(-80). What is the biggest value in -2/11, k, o? o Let a = -2085 - -16677/8. Let x(i) = -3*i + 12. Let c(p) = -2*p + 8. Let y(t) = 7*c(t) - 5*x(t). Let j be y(7). What is the smallest value in -1/3, a, j? a Let z = 1.6 - 1.9. Let l = 0.2356 + 0.0644. Which is the third smallest value? (a) 2/7 (b) z (c) l c Let n = 24 + -24.3. Suppose -5*h - 15 = -2*k, -7 = -2*k - 5*h - 42. Let o be (2/4)/(k/(-22)) + -3. What is the second smallest value in n, -4, o? o Let p be (2*2/(-28))/(55 - 54). What is the third biggest value in -5.7, -3, p? -5.7 Let c = 4.1 - 2.7. Let z = 0.36 + 6.04. Let o = c - z. What is the third biggest value in 2/5, o, 3? o Let v = -538 + 220. Let d = -321 - v. Let t = -10/3 - -62/15. Which is the third biggest value? (a) d (b) t (c) -0.3 a Let d = 480 + -480.559. Let z = d - -0.55. What is the smallest value in 1/5, z, -0.1? -0.1 Let x = -16756 - -16756.5. Which is the second smallest value? (a) 0.1 (b) x (c) 2803 b Let p = -203/8 - -207/8. Let w = -6 - -4. Which is the biggest value? (a) 0.4 (b) p (c) w b Let r = -2827 + 2826.7. Which is the second smallest value? (a) -10 (b) 0 (c) 3/2 (d) r d Let l = -3580.1 + 3580.9. What is the second biggest value in 40/11, l, -4? l Suppose -2*z = -2*f + 18, 0 = 43*z - 46*z + 9. What is the smallest value in f, -3, -6.9? -6.9 Let n = 283.742 + 0.258. Let h = n - 282. Which is the fourth smallest value? (a) h (b) 4 (c) -0.3 (d) -7 b Let o = 89.54 + -2.54. Let f = 90 - o. Which is the third biggest value? (a) 1/11 (b) f (c) 0.2 a Let g = 0.2 + -0.1. Let k = -1962.5 + 1963.5. What is the smallest value in 5/9, -3, g, k? -3 Let f = 1.2451 - 0.8451. Let y = -2 - -8. Let j be 10/(-18) + 2/y. What is the second biggest value in f, j, -1? j Let s = -6.05 + 5.73. Let z = -73 + 78. Which is the smallest value? (a) -2/3 (b) z (c) s a Let l = -229 + -307. Let x = l - -537. Which is the second biggest value? (a) 0.2 (b) -3 (c) x (d) 22 c Let o be 3/4 + 18/(-1368)*-19. Which is the fifth smallest value? (a) 0 (b) o (c) 4 (d) -5 (e) 19 e Let q = -5.2182 - -0.2182. Let y = 23 - 28.4. Let t = q - y. Which is the second biggest value? (a) t (b) 1/8 (c) 0 b Let k = -157.3 + 148. Let u = -4.3 - k. Which is the biggest value? (a) 1 (b) -5 (c) u c Let w = 7.244 + -1.244. Which is the second biggest value? (a) -1/4 (b) w (c) 24 (d) 0.3 (e) 2 b Let q = 0.074 + -0.474. Let f = 0.01 + -0.03. Which is the smallest value? (a) f (b) -21 (c) q b Let x = -0.01 - -2.01. Let n = 0.238 - 0.328. Which is the biggest value? (a) x (b) n (c) -5 a Let o = 0 - 0. Let p = 144.646 - 144. Let j = p - 0.246. What is the smallest value in 0.3, -0.3, o, j? -0.3 Let r = -4453.5 + 4481.5. Which is the smallest value? (a) r (b) -2 (c) 0.5 (d) 2 b Let y = 1/3579 + 10727/35790. What is the third smallest value in 179, 2/7, y? 179 Let q be (-6)/33*(3 + ((-32)/(-12))/(-1)). What is the third smallest value in 0.35, q, -1/3? 0.35 Let n be (-1528)/(-308) - 5 - (-9)/(-63). Which is the third biggest value? (a) -5 (b) -2 (c) n (d) -1 (e) -17 b Let h = 0.32 - 0.02. Let d = 291 + -100. Let r = -191 + d. Which is the second biggest value? (a) r (b) h (c) -0.7 a Let o = 1.223 + -1.623. Let k = -90 - -31. Which is the biggest value? (a) o (b) -4 (c) k (d) -1/5 d Suppose -14*t + 74 = -5*k, -3*k - 9*t = -11*t + 6. Let n = 5 - 5. Let j be 6 + (n/2)/(-1). Which is the third smallest value? (a) j (b) k (c) -0.4 a Let r = 4888.04 + -4888. Which is the fourth biggest value? (a) -1 (b) r (c) -0.5 (d) -3 d Let j be 1 + (-19 - -4) - (-16900)/1183. Let q = -4 + 3. Let p = q - -6. Which is the smallest value? (a) p (b) 4 (c) j c Let y = -122.5 + 123. Let a = -142/91 + 24/13. What is the third smallest value in -2, -0.1, y, a? a Let s = 589 + -589.5. Let n be 75/27 + (-6)/(-27). What is the second smallest value in s, n, -1/13? -1/13 Suppose -8*p - 3*a + 6*a = 35, -a = 5*p + 19. What is the second smallest value in 19/2, -3/11, p, -1/5? -3/11 Let i = -1/78 - -151/5694. Let b = 433/365 + i. What is the third biggest value in -0.2, -6, 1, b? -0.2 Let d = -4.5205 - -0.5205. Which is the third biggest value? (a) d (b) 141/5 (c) -1 a Let a be (1 - (-6 - -9)) + (85/(-20) - -6). What is the smallest value in 2/9, 6, a? a Let t be (10/50)/((-2)/(-4)). Let c = -0.86 + 0.59. Let q = c + -0.03. What is the smallest value in -10, q, -3, t? -10 Let r be (-15)/(-25)*(-10)/(-14). Let v = -2923 - -2923.4. Which is the smallest value? (a) r (b) 0 (c) v (d) 2/11 b Let b = 2.094 + 2.906. What is the second biggest value in 6, 1/8, -1/4, b? b Let j = 370/3 - 743/6. Which is the fourth smallest value? (a) 0 (b) j (c) -0.7 (d) -63 a Let y = -216 - -176. Let i = -44 - y. Which is the second biggest value? (a) i (b) 3/4 (c) 1/6 (d) -2/45 c Let j be (-77)/792 + 7/(-56). Which is the second biggest value? (a) 22 (b) 0.3 (c) -0.2 (d) 4 (e) j d Let f = -99 + 130.9. Let d = -32.2 + f. Let j = 1 - 2. What is the smallest value in 1, d, j? j Let t = 1/78 + -23/39. Let w = 14/13 + t. Which is the smallest value? (a) w (b) 0 (c) 14 b Let z be ((-1101)/(-70))/((-252)/30). Let b = z + 6/49. What is the biggest value in -3/7, b, -3/2? -3/7 Suppose 10*v + 120 = 120. Let n = -2416 + 2405.07. Let p = -11 - n. What is the second smallest value in v, p, 1? v Let q = 1.5 + -5.2. Let d = 4.7 + q. Suppose -u - 68 = -65. Which is the third smallest value? (a) 2/13 (b) d (c) u b Let m(x) = 45*x - 268. Let o be m(6). Let h be ((-22)/(-242))/(o/22). What is the smallest value in 3/7, h, -0.3, -4? -4 Let l = 1128 - 1241.6. Let o = l - -114. Which is the smallest value? (a) 1/9 (b) -24 (c) o (d) -4 b Let o = -0.25 - -0.15. Let s = 2.734 - 2.634. Which is the fourth biggest value? (a) s (b) 4 (c) -1/3 (d) o c Suppose 0 = -37*l + 41090 - 41275. What is the fourth biggest value in 3, 5/47, 0, -15, l? l Let s = 789.5 - 789.5. Which is the third biggest value? (a) 0.5 (b) s (c) 16/9 (d) 1.2 a Let q be 6/4*9/6. Let u(p) = -p**2 + 4*p. Let n be u(3). Let r be ((-15)/25)/(n/2). Which is the second biggest value? (a) q (b) r (c) 3 a Let u = 174.48 + -176. Let h = u + 1.56. What is the second smallest value in -3, h, -0.3? -0.3 Let f = 178 + -172. Let g be 2/(-4*f/48). Which is the second biggest value? (a) 0.1 (b) g (c) 3 (d) 1/30 a Sup
{ "pile_set_name": "DM Mathematics" }
s (((120/(-3870))/4)/((-4)/(-6)))/((-3)/(-12))? -2/43 Calculate (5440/(-1275)*6/4)/((-30)/75). 16 Evaluate 40/2*81/(-81). -20 Evaluate (-231)/308*64/30*11/(11/(-20)). 32 Evaluate 16/9*1520/(-1330)*84/48. -32/9 Calculate (-22)/(((-1694)/(-66))/77). -66 Calculate (3/9*2)/(16478/(-2247))*(-286)/8. 13/4 Evaluate ((-1184)/592)/((-2)/(-20)). -20 (-6)/(-93*(-41)/16523) -26 (-31*12*(-7)/84)/((-1)/(-1)*1) 31 What is (-124)/(-620)*75/(-12)? -5/4 Calculate -1*(-218)/(-10)*(17*300/170)/6. -109 ((12/56)/((-30)/(-1435)))/(((-5)/1)/20) -41 ((-24)/7)/(11706/(-150227)) 44 ((-436)/16)/(((-5200)/(-320))/(-65)) 109 What is the value of ((-30)/(-8))/((6/8)/(313/626))? 5/2 (8/(-80)*-10)/(((-96)/(-2640))/(3/(-15))) -11/2 (33*(-70)/1232)/(6/80) -25 Evaluate 2*(-15)/(-50)*7*320/1232. 12/11 Evaluate 2*2/16*112/1680*(-40)/(-6). 1/9 What is the value of (-1)/(((-376)/(-141))/((-104)/247))? 3/19 Calculate ((-609)/(-2349)*12/7)/(2/(-12)*-14). 4/21 Calculate (1992/48)/((-14)/(-28)). 83 What is 1383/5993*(98/(-35))/((-6)/(-10))? -14/13 What is the value of ((264/9)/(-4)*15/(-5))/(2028/(-2028))? -22 What is the value of ((-128)/(-2))/(((-39)/26)/((-150)/200))? 32 (-621)/(-2)*(-5338)/24021 -69 ((-472)/(-2478)*45)/((-30)/168) -48 Calculate ((-3)/6*-3)/(-4*(-54)/24768*4). 43 (-19426)/(-116556)*(-354)/1 -59 Calculate (1920/72)/(-10)*6/(-44)*1. 4/11 Evaluate (-1)/(6*(-24)/(-1008)). -7 Calculate ((-19)/1)/((-456)/48)*1452/24. 121 (16/22)/((-6432)/141504) -16 168/((9/(-6)*16/(-6))/((-318)/159)) -84 Calculate ((-4)/(-2))/((-105)/84*8/50). -10 Calculate 15*(-38)/(-380)*(-50)/(-3). 25 ((-13)/((-546)/4))/((-108)/162) -1/7 What is the value of ((-155)/65100*-350)/(2/612*3)? 85 ((-8)/(-2))/((12/(-69))/((-48)/552)) 2 What is (-32)/4720*(-58)/116*10/(-3)? -2/177 What is the value of (32/600)/(264/704*(-128)/(-36))? 1/25 Calculate ((-1223928)/1335)/(-191)*(10/2)/(-1). -24 What is (4/6)/((-59)/(-79650)*-25)? -36 Calculate (8/((-5920)/12))/((-93)/(-8525)*55). -1/37 Evaluate (((30/(-6))/5)/(3/1))/((-2714)/(-333822)). -41 Evaluate (-39376)/113206*2/12*(-9)/(-3). -4/23 Evaluate ((-102)/(-12))/((85/(-30))/17). -51 What is 8163/(-1814)*40/(-9)? 20 Calculate (-108)/(-1008)*52/1092. 1/196 Evaluate ((-23)/((-1012)/(-44)))/(7/11)*(-20)/(-110). -2/7 Calculate 5755/(-9208)*1*(-18)/20*2. 9/8 What is (264120/(-6603))/(10/(-4))? 16 What is the value of 336/144*(-24)/(-68880)*-20? -2/123 Evaluate 1/17*18/(-15)*85/34. -3/17 What is (31*252/(-5208))/(-12)? 1/8 What is the value of (-28)/((7248/1208)/(21/2))? -49 What is the value of (-40)/16*(-5764)/655? 22 (38/27436*-19)/((-42)/(-399)) -1/4 Calculate 24/21*(1/5)/(1232/385). 1/14 Evaluate (-1)/(-156)*301/(27692/(-1104)). -1/13 (-756)/486*(18/15)/(2/(-60)) 56 Calculate ((-1)/(-9)*(-3)/(-10))/(8/320*72). 1/54 Calculate 10/(102/34*6/(-81)). -45 (271/((-199998)/(-6273)))/((-1)/14) -119 Evaluate (1719/33234)/(10/58). 3/10 Calculate ((-102158)/72970)/((-1)/45). 63 Calculate ((-78)/130)/((-1)/3). 9/5 77/(-22)*80/(-70)*10 40 1/2*(-392)/147*(-1035)/(-20) -69 What is (-8)/(-68)*56/3864*-23? -2/51 What is the value of 5076/1316*(-98)/6? -63 ((-13)/182*(-231)/44)/(-6) -1/16 Evaluate ((-3)/15)/((93/(-124))/((-816)/(-64))). 17/5 What is (24/21*840/(-720))/(-2*(-4)/16)? -8/3 What is 5/(-10)*(-9240)/(-140)? -33 5/48*308*50/(-7000)*(-18)/22 3/16 What is the value of ((-49)/(-7))/((-3073)/(-19755))? 45 What is the value of ((12/(-9))/(-2))/((7/14)/(27/(-6)))? -6 What is (-6)/((-6)/(-5))*19*(-20)/(-11020)? -5/29 What is (-14)/112*((-8253)/5502)/(1*14/8)? 3/28 Evaluate 5/(((12/(-252))/((-18)/189))/4). 40 What is the value of (((-133)/19551)/(3/(-90)))/(((-75)/126)/(-5))? 12/7 Calculate ((-17700)/(-36875))/(114/(-100)). -8/19 351/1365*6/9*50/(-25) -12/35 (4/((-48)/5)*(-27)/90)/((-15)/(-1020)) 17/2 ((-10)/4)/(1690/10140) -15 ((-10)/(-35))/((-50)/(-140)*(-36)/50) -10/9 Calculate (-48)/(-544)*(-72)/(-3)*86/(-387). -8/17 What is the value of ((-660)/(-95))/(((-11200)/1900)/(-56))? 66 Evaluate (34/28288*48)/(((-150)/176)/25). -22/13 What is the value of 10*40/(-500)*((-460)/(-696))/23? -2/87 Evaluate -5*(-1)/(12/(216/6)). 15 What is 6/(-2)*((-22)/(-6831))/((-24)/(-1188)*22)? -1/46 ((-11268)/(-37560))/((3/(-8)*1)/((-8)/2)) 16/5 Calculate 340/((-12)/(-3))*(92/322)/((-2)/7). -85 Evaluate ((-112)/(-8932))/(468/(-1287)). -1/29 -6*(-46)/184*4/(-9)*(-81)/1161 2/43 Calculate (((-9)/114)/((-8880)/(-28120)))/((-3)/(6/(-16))). -1/32 Calculate (164/(-96)*-12*(-10)/30)/((-27)/324). 82 9/15*-16*(-35)/(-1680) -1/5 What is (55*(-41)/(-13530))/((-2)/552)? -46 ((-6)/98)/(((-225)/(-10))/(-15)) 2/49 Evaluate 9*2/(-4)*(-69433)/(-446355). -7/10 Evaluate (-91)/21*34/1768*-516. 43 What is the value of 7/(-84)*(-788)/6501? 1/99 What is the value of ((-333)/81*12)/(((-160)/(-72))/(-5))? 111 ((-4862)/(-29172))/((-2)/(-44)*(-12)/90) -55/2 Calculate (-252)/15*8290/(-2487). 56 Evaluate (((-9)/42*49/14)/1)/((-285)/(-8)). -2/95 What is (4/5)/(-4)*28400/15904? -5/14 (101/(-909))/((-20)/1305) 29/4 What is the value of ((-132)/(-275))/((844/2321)/(9/(-33)*-10))? 18/5 Calculate 11*32/(-7920)*3*135/(-10). 9/5 What is the value of 38/(-2)*10*-1*34/68? 95 What is -25*(-24)/160*44/132? 5/4 What is 1410/517*(-4356)/(-220)? 54 Calculate (-30)/(-9)*(15/90*1)/((-4)/16). -20/9 Evaluate (1112/417)/(4068/27). 2/113 2436/3045*165/(-4) -33 Evaluate ((-302)/(-19026))/(4/(-12)). -1/21 What is the value of 30/20*20878/2409? 13 What is ((-6)/184)/(((-921)/(-6754))/((-6)/(-11)))? -3/23 (-16)/76*(-32)/(-64)*6/((-12)/(-2)) -2/19 ((80/294)/(260/728))/(4/(-30)) -40/7 (-450)/((-66)/(-11))*(-9)/((-972)/72) -50 What is the value of (1434/1673)/(26/1001)? 33 Calculate ((-1)/((-15)/(-84)))/((-76)/(13300/(-35))). -28 What is (((-6840)/1824)/((-5)/(-36)))/(2*(-30)/16)? 36/5 Calculate -5*(-2)/(-92)*((-17168)/(-185))/58. -4/23 What is (-10)/32*(-350)/1750*464? 29 What is the value of 3/((-9)/(-2))*2/(-8)*235980/1311? -30 ((-2646)/1260*4)/(3/(-20)) 56 Calculate ((-1562)/97625)/(3*(-10)/375). 1/5 What is ((-4)/(-10))/(((-1178)/1767)/(20/3))? -4 -10*24/480*9/((-189)/(-196)) -14/3 What is (13/((-416)/(-24)))/(((-234)/132)/(-13))? 11/2 (-4062)/3899520*20/(-2) 1/96 Evaluate ((-117)/5616)/(17/34). -1/24 What is the value of (-10)/(-3)*((-48)/(-40))/((-150)/(-300))? 8 Evaluate 5/3*(-7)/(-35)*1884/3140. 1/5 Evaluate -1*(-10)/(-195)*13/(286/(-11)). 1/39 What is the value of 48*(-154)/(-924)*2/(-1)? -16 What is the value of (((-513)/627)/(105/(-22)))/((-8)/14)? -3/10 Evaluate ((-37)/(-7)*21)/(-3). -37 Calculate -1*(-60)/(-4)*14399/6545. -33 What is the value of -94*((24/16)/((-27)/(-33)))/(33/9)? -47 What is the value of (58/(-9))/(-57*192/49248)? 29 272/120*35875/14637 50/9 Calculate (-8008)/26026*-26*(-2)/(-84). 4/21 (1*40/(-75)*-5)/((-214)/2247) -28 What is (216/(-300))/(1*12*(-26)/390)? 9/10 What is the value of ((-3000)/(-700))/(3*14/392)? 40 What is 1*34/(-408)*(3/1)/((-360)/(-18))? -1/80 Evaluate (4/(-15))/(197/985)*9. -12 What is (-28)/(-48)*1120/(-2940)*6/118? -2/177 ((-3)/61)/((-38)/(15390/45)*-27) -1/61 Calculate (-18530)/327*(-3)/2. 85 What is the value of (1/(-5))/(((-4)/4)/(130/338))? 1/13 What is the value of ((-1480)/40)/(-74)*(-1484)/14? -53 What is (((-2)/(-35))/(155/(-1085)))/(106/(-10))? 2/53 Evaluate (4/(-8))/(40940/(-1840)). 2/89 Calculate ((-112)/35)/(-4)*16/224*(-4)/(-2). 4/35 (-630)/28*(-6)/(-120) -9/8 Evaluate 2/((4/(-656))/((-56)/(-224))). -82 Calculate 16/8*35/(-70)*1/(3/6). -2 What is 19/(95/90)*20/8? 45 (-8904)/(-9752)*(-6)/126*1 -1/23 Evaluate 762/(-635)*(-395)/15168. 1/32 9*(-180)/81*(-1)/(-4) -5 What is the value of (77/((-45045)/(-156)))/(-10)? -2/75 What is (((-4)/(-23))/((-544)/204))/(6/(-8))? 2/23 What is (12*((-10)/330)/(20/18))/(460/1150)? -9/11 Calculate (1/4)/(-1)*-7*(-2696)/9436. -1/2 What is the value of ((-393471)/(-988))/(-531)*1/(138/(-16))? 2/23 (-1)/6*-26*(-6045366)/(-569491) 46 Calculate 994/(-3479)*-2*7/(-298). -2/149 Evaluate -6*(-3)/((-3)/58)*190/((-95760)/(-168)). -116 What is ((11904/2240)/(-31))/(3*3/(-42))? 4/5 ((-2772)/(-324))/(-77)*0 0 Calculate (4*(-8)/168)/(108/(-16)*(-24)/(-63)). 2/27 What is the value of -3*(-279)/225*220/(-132)? -31/5 Calculate ((-3648)/(-4256))/((-4)/42). -9 What is (-11*(-2016)/(-4620))/(3/(-2))? 16/5 (-10)/8*(-64512)/4032 20 3619/(-517)*(-12)/42 2 (24370/497148)/(5/12) 2/17 E
{ "pile_set_name": "DM Mathematics" }
28 Four letters picked without replacement from avnkatz. Give prob of picking 1 a, 1 v, 1 t, and 1 n. 2/35 What is prob of picking 1 x, 1 o, and 1 e when three letters picked without replacement from okssxoeskssks? 1/143 Two letters picked without replacement from {c: 2, d: 1, w: 3, u: 5, i: 1}. What is prob of picking 1 d and 1 w? 1/22 Two letters picked without replacement from wtbowobbwbvbbwtatttw. What is prob of picking 1 o and 1 t? 1/19 Calculate prob of picking 1 e, 2 x, and 1 k when four letters picked without replacement from {e: 1, x: 5, k: 4}. 4/21 What is prob of picking 1 b and 1 x when two letters picked without replacement from {x: 1, s: 1, d: 1, q: 2, n: 2, b: 1}? 1/28 Two letters picked without replacement from {p: 7, c: 4}. Give prob of picking 2 p. 21/55 Three letters picked without replacement from ttooootozt. What is prob of picking 1 z and 2 t? 1/20 Calculate prob of picking 1 v and 1 z when two letters picked without replacement from {z: 3, v: 5, k: 3}. 3/11 Four letters picked without replacement from {u: 1, j: 4, i: 6}. Give prob of picking 4 i. 1/22 Calculate prob of picking 1 s and 1 l when two letters picked without replacement from slympllmyysmslsmlsp. 25/171 Calculate prob of picking 1 r and 1 u when two letters picked without replacement from buurrbrbb. 1/6 What is prob of picking 2 o when two letters picked without replacement from oouuooooooo? 36/55 Calculate prob of picking 3 y when three letters picked without replacement from {y: 4, t: 3}. 4/35 What is prob of picking 2 m and 1 n when three letters picked without replacement from nnmnmnmn? 15/56 Two letters picked without replacement from aaafnafanaaaff. What is prob of picking 1 n and 1 f? 8/91 Calculate prob of picking 1 q, 1 o, and 1 h when three letters picked without replacement from htzztozoqkzoohoz. 1/56 Calculate prob of picking 2 e, 1 u, and 1 k when four letters picked without replacement from {k: 1, u: 1, e: 7, a: 5, y: 2, c: 4}. 7/1615 Two letters picked without replacement from hhkhkhhkhhhkkkkkhkkk. Give prob of picking 1 h and 1 k. 99/190 Calculate prob of picking 3 t when three letters picked without replacement from jtttjttjjtttttttttt. 455/969 What is prob of picking 2 y when two letters picked without replacement from {w: 9, y: 5}? 10/91 Four letters picked without replacement from {b: 7, e: 5}. Give prob of picking 2 b and 2 e. 14/33 Four letters picked without replacement from huuhuuuuuuuhha. What is prob of picking 1 h and 3 u? 48/143 What is prob of picking 1 i and 3 t when four letters picked without replacement from {i: 3, t: 8}? 28/55 Calculate prob of picking 1 h, 1 g, 1 i, and 1 t when four letters picked without replacement from {h: 3, g: 1, i: 2, u: 2, t: 4}. 8/165 Two letters picked without replacement from {p: 1, o: 6, t: 4, r: 5}. Give prob of picking 1 r and 1 t. 1/6 Two letters picked without replacement from {k: 1, u: 1, v: 1, b: 1, a: 1}. What is prob of picking 1 v and 1 k? 1/10 Calculate prob of picking 1 k and 2 a when three letters picked without replacement from akammmkamu. 1/20 Calculate prob of picking 1 i, 1 a, and 1 g when three letters picked without replacement from iipigapggx. 3/40 What is prob of picking 2 j when two letters picked without replacement from {g: 5, j: 15}? 21/38 Four letters picked without replacement from jjipuujuiu. Give prob of picking 1 p, 2 j, and 1 u. 2/35 Calculate prob of picking 1 g and 1 f when two letters picked without replacement from ffffssfssfgsfs. 1/13 What is prob of picking 1 w and 1 c when two letters picked without replacement from mmmrbvvbwwmc? 1/33 Four letters picked without replacement from yjytjjjyyrjyjj. What is prob of picking 1 j, 1 r, and 2 y? 10/143 Three letters picked without replacement from eeeeeeeeee. What is prob of picking 3 e? 1 Two letters picked without replacement from {g: 2, e: 2, j: 6, h: 1}. What is prob of picking 1 e and 1 g? 4/55 Three letters picked without replacement from qiqiiqqiqqq. Give prob of picking 3 i. 4/165 Three letters picked without replacement from {b: 5, e: 2, t: 1, m: 1, v: 1}. Give prob of picking 1 t, 1 v, and 1 m. 1/120 Four letters picked without replacement from {r: 7, v: 5, o: 4}. What is prob of picking 4 r? 1/52 Four letters picked without replacement from poppppfpop. What is prob of picking 3 p and 1 o? 1/3 What is prob of picking 1 y, 1 n, and 1 x when three letters picked without replacement from vlbynxl? 1/35 Two letters picked without replacement from owbbqbwwqwwwqowwwow. Give prob of picking 1 w and 1 q. 10/57 Two letters picked without replacement from vtitmix. What is prob of picking 1 v and 1 t? 2/21 Two letters picked without replacement from xxxmxmckcckcc. What is prob of picking 1 k and 1 m? 2/39 Four letters picked without replacement from sssssrrssrrrr. Give prob of picking 4 s. 7/143 Two letters picked without replacement from {o: 7, h: 1}. Give prob of picking 1 o and 1 h. 1/4 Calculate prob of picking 1 a and 1 x when two letters picked without replacement from xaaaxaaaaaa. 18/55 Calculate prob of picking 1 o, 1 n, and 1 r when three letters picked without replacement from {p: 2, o: 2, x: 1, n: 3, r: 4, c: 3}. 24/455 Calculate prob of picking 3 n and 1 a when four letters picked without replacement from caaaaiaonacnanna. 8/455 Calculate prob of picking 1 k and 1 r when two letters picked without replacement from {k: 2, m: 1, o: 2, r: 1, n: 1}. 2/21 Calculate prob of picking 2 u when two letters picked without replacement from uuujmuuuu. 7/12 Calculate prob of picking 2 v when two letters picked without replacement from vbaovvvhv. 5/18 Four letters picked without replacement from cehhw. Give prob of picking 1 c, 1 w, 1 e, and 1 h. 2/5 What is prob of picking 2 w and 1 a when three letters picked without replacement from awwwtwawwwtaaatwaqw? 72/323 What is prob of picking 1 e and 1 k when two letters picked without replacement from {h: 1, g: 1, n: 3, k: 1, e: 5, x: 1}? 5/66 Four letters picked without replacement from ggmwupzp. Give prob of picking 1 m, 1 g, 1 u, and 1 z. 1/35 Three letters picked without replacement from {d: 10, q: 4}. What is prob of picking 3 d? 30/91 What is prob of picking 3 q and 1 r when four letters picked without replacement from qqxrrrrrrxxqqr? 4/143 Two letters picked without replacement from ccaypcppyc. What is prob of picking 2 p? 1/15 Two letters picked without replacement from {a: 2, v: 1, k: 3, f: 1}. What is prob of picking 1 f and 1 v? 1/21 What is prob of picking 1 l, 1 i, and 1 q when three letters picked without replacement from neilneiq? 1/28 Three letters picked without replacement from pppiqiqps. Give prob of picking 2 p and 1 s. 1/14 Calculate prob of picking 1 a and 1 p when two letters picked without replacement from {a: 1, e: 1, s: 2, v: 2, p: 2}. 1/14 Calculate prob of picking 1 h and 1 l when two letters picked without replacement from llsddshdlhlllls. 2/15 What is prob of picking 1 m, 1 a, and 1 c when three letters picked without replacement from {r: 1, m: 4, a: 7, o: 2, c: 3, w: 1}? 7/68 Two letters picked without replacement from cldllpdlullpclcfd. Give prob of picking 1 p and 1 f. 1/68 What is prob of picking 1 z and 2 p when three letters picked without replacement from {m: 5, z: 12, p: 2}? 4/323 What is prob of picking 1 s, 1 j, and 1 n when three letters picked without replacement from {z: 4, j: 2, n: 1, s: 6}? 6/143 Calculate prob of picking 1 s and 1 b when two letters picked without replacement from {n: 1, s: 1, y: 2, b: 1, a: 1, c: 2}. 1/28 What is prob of picking 4 c when four letters picked without replacement from gcgcggccggg? 1/330 Calculate prob of picking 2 d and 1 p when three letters picked without replacement from {d: 4, p: 2, y: 3, j: 1, q: 4, b: 1}. 12/455 Two letters picked without replacement from jjzjjzjmsjhmzs. What is prob of picking 1 j and 1 m? 12/91 Calculate prob of picking 3 t when three letters picked without replacement from {g: 5, t: 13}. 143/408 Calculate prob of picking 2 c and 1 w when three letters picked without replacement from bwbbcbhbcrcwbbsbbbs. 2/323 What is prob of picking 1 v and 1 p when two letters picked without replacement from {l: 3, v: 1, p: 4, r: 1, g: 2}? 4/55 Three letters picked without replacement fr
{ "pile_set_name": "DM Mathematics" }
) Simplify (z*z**(-10)*z)/z*z*((z*(z*z**4)/z)/z)/z*(z**1/z)/z**(4/3) assuming z is positive. z**(-19/3) Simplify (y**(1/21)/y*y*y**5/y)/(y**(5/6))**(3/26) assuming y is positive. y**(4315/1092) Simplify ((r*r**0/r)**(-18/11)/(r/(r/r**(-1/5))*r/(r/(r**(2/7)*r*r))))**9 assuming r is positive. r**(-657/35) Simplify (y**(-4)*y/y**(-10))/(y*y/y**(-5)*y)**(3/16) assuming y is positive. y**(11/2) Simplify y*y**(2/7)*y**(-1/5)*((y*y*y/y**(-1/4))/y)**(-1/16) assuming y is positive. y**(2117/2240) Simplify ((v/(v**22/v))**(7/2))**(-46) assuming v is positive. v**3220 Simplify v**(-2/43)*v**(2/13)*v*v*v/v**10*(v**16*v)/v assuming v is positive. v**(5091/559) Simplify (f**10*f*(f/f**(2/21)*f)/f)/(f**(2/9))**(2/11) assuming f is positive. f**(8222/693) Simplify (((w*(w*(w*w**(-2/43))/w)/w)/w)/(w*w**(2/7)))/(w**(-3)/w*w/(w/((w/w**1)/w*w))*w) assuming w is positive. w**(502/301) Simplify ((o**(-1)*o)**37*o*o**(-1/12)*o**4)**(-2/127) assuming o is positive. o**(-59/762) Simplify ((((l**2*l)/l)**(13/4))**(-38))**(4/11) assuming l is positive. l**(-988/11) Simplify (j/(j**35/j)*j**(-16/7))**35 assuming j is positive. j**(-1235) Simplify i**18/(i**(1/67)/i)*i*i*i/((i/(i*i*i/((i*i**(-5))/i)))/i*i)*i/(i**(2/31)/i)*i assuming i is positive. i**(66299/2077) Simplify ((p/(p*p**(-15/7)))/(p*p**(-10)*p))/((p/p**(2/27))/(p*p/(p*((p*p/(p*p**22))/p*p)/p))) assuming p is positive. p**(6089/189) Simplify (d*d**13*d**9/d)/((d*d**(1/5))/(((d*d/(d*d/(((d*d**(1/6)/d)/d)/d)*d)*d)/d)/d)) assuming d is positive. d**(509/30) Simplify (((o/(o**(-5)/o))/o)/o**(-7)*(o*o/((o/(((o/(o/o**(-1/4)))/o*o)/o))/o)*o)**(3/4))**6 assuming o is positive. o**(687/8) Simplify ((n**1)**(-2/9)/(n**(-3)*n*n*(n**(2/3)/n)/n*n*n))**(-46) assuming n is positive. n**(-46/9) Simplify (((n*n/(n/n**37))/n)/n)/(n*n**(-26))*(n**(-13/4))**(-3/4) assuming n is positive. n**(1015/16) Simplify (j**(2/31)/j)**43*(j**(-3)*j)**29 assuming j is positive. j**(-3045/31) Simplify (b**(-3/17)/(b*b**(-9)))/((b/(b/(b*b**(11/5)*b)))/(b*((b/(b*b/(b**(8/9)/b)))/b)/b)) assuming b is positive. b**(1157/765) Simplify (c*c**(-1/9))**(-4/3)/(c**(2/9)*c*c/c**(-4/13)) assuming c is positive. c**(-1304/351) Simplify (d**(-17)/(((d*d**(15/8)*d)/d)/d))**(-8/7) assuming d is positive. d**(151/7) Simplify ((i/(i/(i**3/i)))/(i/(i/(i**(-7/2)/i))))/(i**(-3/2))**14 assuming i is positive. i**(55/2) Simplify (f*f**(-2/31)/f*(f**(-2/29)*f*f)/f)**(-13/6) assuming f is positive. f**(-10127/5394) Simplify (b/(b/(b*b/b**(2/5)))*b)/((b/b**(1/10))/b)*b**3*b**(-3)/b assuming b is positive. b**(17/10) Simplify ((k*k/(k/(k*k**3)))**(1/3))**8 assuming k is positive. k**(40/3) Simplify (h**(3/4)*h*h/(h*((h/(h**(-8)/h))/h)/h))/((h*h*h*h*h/(h/(h*h*h/(h/((h**8*h)/h*h))*h))*h*h)/h**(-6)) assuming h is positive. h**(-121/4) Simplify b**16/((b**(-3/2)*b)/b)*(b*(b**3/b)/b)**(-2/15) assuming b is positive. b**(517/30) Simplify (b/b**(-19))**(1/11)/(((b*b**(-17/3)*b*b)/b*b)/b**25) assuming b is positive. b**(973/33) Simplify (y*y**(-2)*y)**(-1/88)*((y/(y*y**(-14)))/y)/y**21 assuming y is positive. y**(-8) Simplify (n*n**(-10))/(n*n**(2/17)*n)*(n*n*n*(n/(n**(2/31)*n))/n)/((n/(n/(((n*n**(-1/27)*n)/n)/n)))/n) assuming n is positive. n**(-115897/14229) Simplify ((k/(k/k**1))**(4/37)/((k**(1/3)*k)/k**(1/3)))**(-2/21) assuming k is positive. k**(22/259) Simplify t**(7/5)/(t*t*t**15*t)*(t*t*t*t*t*t/(t/t**(5/3)*t))/t*t**(2/35)*t assuming t is positive. t**(-1142/105) Simplify (b/((b**(-13)*b)/b)*b*b/(((b**(-1/22)*b)/b*b)/b))/(b**(-3/7)/b**(7/2)) assuming b is positive. b**(1538/77) Simplify (c/(c/c**(-15))*c**(-1/12))/(c*c**(-2/75)*c*c*c/(c/c**(-23))) assuming c is positive. c**(1483/300) Simplify (((g/(g**(-16)/g))/g**(-2/3))**(-45))**(1/7) assuming g is positive. g**(-120) Simplify (w/(w/((w*w**9*w)/w)*w)*w)/w**5*(w**(3/5))**(2/69) assuming w is positive. w**(577/115) Simplify (n**(-3/10)*n*n)/n*(n/n**(-9))/n*(n/n**(1/4))/n**(-14) assuming n is positive. n**(489/20) Simplify (h**(1/44)*(h/(h*h**(-2/19)))/h)**(-4/9) assuming h is positive. h**(81/209) Simplify p**10*p*p**(1/16)*p/(p*(p/((((p/(p/(p*((p**(1/2)/p)/p)/p))*p)/p)/p)/p))/p)*p**(-4) assuming p is positive. p**(57/16) Simplify ((s**(-1/9)/s)/s)/(s**(1/8)/s)*(s**3)**(-3/4) assuming s is positive. s**(-251/72) Simplify (g**(-7)*g*(g*g*(g/(g*g*g**(-7/2)))/g)/g)/(g**(4/5)*(g*g/(g**8*g))/g) assuming g is positive. g**(37/10) Simplify ((m*(m*m**(-9)/m)/m*m**(4/3))/((m**(-6)/m)/m**(2/3)))**(-7/2) assuming m is positive. 1 Simplify (i**(1/2)*i*i/(i/(i/i**2*i))*i*(i/(i**3*i))/(i*i**(-6)*i))**(2/33) assuming i is positive. i**(7/33) Simplify l**(5/4)/l**(7/6)*l**(2/17)*l*l**(-2/11) assuming l is positive. l**(2287/2244) Simplify t/t**(-11)*t*t*t*t**(9/4)*t*(t*(t/(t*t**(2/3))*t)/t)/t**(-7) assuming t is positive. t**(307/12) Simplify ((x**20/x**(-21/5))**(-16))**48 assuming x is positive. x**(-92928/5) Simplify ((((o*o**(-2/13))/o)**(-33/4))**(-3/11))**(4/9) assuming o is positive. o**(-2/13) Simplify (i**(-1/3)*i)/i**20*(i*i*i*i/(i*i**17)*i*i)/(i**(-18/7)/i) assuming i is positive. i**(-583/21) Simplify b**(-25)/((b*b*((b**(-13/6)*b)/b)/b)/b)*b*b**9*b*b*(b/(b*b**(-8)))/b*b assuming b is positive. b**(-17/6) Simplify (k**(-4))**(-33)*(k**9)**(-18) assuming k is positive. k**(-30) Simplify (g*g*g**(-19)/g)/(g/(g/(((g**10*g)/g)/g)))*((g*g**(-3))/g*g)**(1/30) assuming g is positive. g**(-406/15) Simplify ((x**(30/7)/x)/(x*x/(x*x/(x**(-21)/x*x*x))))**(-2/97) assuming x is positive. x**(-326/679) Simplify (h/(h*h*h**36/h)*h**(-1/6))**(-47) assuming h is positive. h**(10199/6) Simplify ((f*f/(f*f*f**(11/2)*f)*f)/f)/(f/(f/((f/(f*f**(8/5)))/f)*f))*(f*f*f**(-1/6)*f)/(f/((f**13*f)/f)) assuming f is positive. f**(179/15) Simplify (o**(-4)*o/(o/o**1)*o**(1/3)*o**(-3/7)*o)**(-43) assuming o is positive. o**(1892/21) Simplify ((o**(-1/2)/o*o*o**(-1)/o)/(o*o/(o/(o*o*o**(1/4)/o))*o*o*o**(-6)))**(1/5) assuming o is positive. o**(-3/20) Simplify c**(7/4)/(c/(c/(c**(-6/13)*c)))*(c*c**(-5/2)*c*c)/c**(-1/4) assuming c is positive. c**(51/26) Simplify (j/(j*((j/(((j*(j*j*j**(-1/21)/j)/j)/j)/j))/j)/j*j))/j**21*(j/j**(-1/5))/(j**(-12/7)/j) assuming j is positive. j**(-272/15) Simplify (k**(-13)*k*k/k**(-12))/(((k**(6/5)*k)/k*k*k)/(k**(2/13)*k)) assuming k is positive. k**(-68/65) Simplify ((x*x**2*x*x)/(x*x**(-5)*x*x)*(x/(x/((x/x**(3/4))/x)*x))/(x*x**(-3)))**(-7/4) assuming x is positive. x**(-203/16) Simplify p*p*p/(p*p**(-19)*p)*p**(-19)*p*((p/p**(-6))/p*p)**35 assuming p is positive. p**247 Simplify ((l*l**(4/17)/l)/(l/(l/((l/l**19)/l*l))))/(l**3)**(-11/3) assuming l is positive. l**(497/17) Simplify (g**(1/19)/(g*g/(g*g*g/(g/g**(-1/4))*g)))/(g/((g/(g**(-2/7)*g))/g*g)*g**5) assuming g is positive. g**(-2613/532) Simplify ((a**(-5)*a)/a**(-1))/((a*a**(-1/12)*a)/(a**12*a)) assuming a is positive. a**(97/12) Simplify (((r**(-1))**(-2/71))**49)**(13/6) assuming r is positive. r**(637/213) Simplify (t*t/(((t*t/t**(2/23))/t*t)/t)*t**(1/6))/(t/(t**(3/2)/t))**(-14) assuming t is positive. t**(1139/138) Simplify ((i**0*i)/(i**9*i))/((((i**(-33)/i)/i*i)/i)/(i/(i*i**(-11)))) assuming i is positive. i**37 Simplify ((d*d/(d**0*d)*d)/d)**(10/7)/(d/(d*d/(d/(d/(d*d**(-1))))*d*d))**(-48) assuming d is positive. d**(-998/7) Simplify ((z*z*z/z**(13/2))/z)/z**(-2/37)*((z*z/((z**(3/7)*z)/z))/z)**(4/11) assuming z is positive. z**(-24149/5698) Simplify (l**(3/5))**(-9/2)*l**(-9)/l*l*l**15 assuming l is positive. l**(33/10) Simplify s**(-2)*(s**(-6)*s)/s*s**(1/11)*(s/s**(-2/23))/s*s assuming s is positive. s**(-1726/253) Simplify (x**(-1))**(-8)/((x/(x*x**(-5))*x)/(x*x**(-2/7))) assuming x is positive. x**(19/7) Simplify ((o/(o/(o*(o*o**(-1/7)/o)/o)))/o)**26/(o**(-9/5)*(o**(-1)/o)/o*o) assuming o is positive. o**(-907/35) Simplify q**18/((q*q*q*q**(-29))/q)*((q/(q*q*q*q*q**(1/2)/q*q*q*q*q*q))/q)/q**(-5) assuming q is positive. q**(83/2) Simplify (w**(-15)*w/w**(2/25))/(w**6)**(-31) assuming w is positive. w**(4298/25) Simplify (u/(u/((u/(u**(3/14)*u)*u)/u)))**(-49)*(u/u**19)/u**10 assuming u is positive. u**(-35/2) Simplify (c**(4/5)*c)/c**2*c**(-3)/c*c**13*c assuming c is positive. c**(49/5) Simplify ((s**(-1/5)/s)/s**(4/3))/(s**(2/61)/(s/(s/(s/s**(2/67))*s))) assuming s is positive. s**(-159146/61305) Simplify (q**(-2)/(q*(q*q/(q**(-4/5)/q))/q)*q**(4/7)/((q**(-
{ "pile_set_name": "DM Mathematics" }
**3 + 4*x**v. -x*(x - 4)**2 Let o(d) be the third derivative of d**5/330 + 16*d**4/33 + 180*d**3/11 - d**2 - 1288*d + 1. Factor o(u). 2*(u + 10)*(u + 54)/11 Let p(k) be the first derivative of -15*k**4/4 - 115*k**3/3 + 175*k**2/2 - 45*k - 406. Factor p(z). -5*(z - 1)*(z + 9)*(3*z - 1) Suppose -47*d - 464 = -49*d + 5*l, -2*d - 3*l + 496 = 0. Suppose -11*n - 23*n + 100 - d*n**2 + 237*n**2 - 6*n = 0. Calculate n. -10, 2 Let z be (10/8)/5*12. Suppose 3 = z*x - 3. Determine s, given that -2/7*s + 2/7*s**x - 2/7*s**4 + 2/7*s**3 + 0 = 0. -1, 0, 1 Suppose -6 = -3*b + 6, 0 = -2*i - 4*b + 20. Factor 472*q**i - 237*q**2 - 240*q**2 - 10*q. -5*q*(q + 2) Let q = 1121952/85351 + -28/12193. What is v in 8/7 - 30/7*v**4 + q*v**3 - 62/7*v**2 - 8/7*v = 0? -1/3, 2/5, 1, 2 Let 2/5*s**2 - 336/5 + 106/5*s = 0. Calculate s. -56, 3 Let n(i) be the third derivative of i**8/112 - i**7/30 + i**6/60 + 990*i**2. Factor n(o). o**3*(o - 2)*(3*o - 1) Let b(g) be the first derivative of -7/3*g**2 + 7/6*g**4 - 50 - 4/9*g**3 + 4/3*g. Factor b(k). 2*(k - 1)*(k + 1)*(7*k - 2)/3 Factor 2872/7 - 1444/7*b + 4/7*b**2. 4*(b - 359)*(b - 2)/7 Let z = 1347 + -1345. Factor -3/4*u**z + 0*u + 0 - 1/4*u**4 - u**3. -u**2*(u + 1)*(u + 3)/4 Factor 0 + 0*v - 1/5*v**3 - 1/5*v**4 + 2/5*v**2. -v**2*(v - 1)*(v + 2)/5 Let q(h) be the second derivative of 7*h**5/130 - 16*h**4/39 + 47*h**3/39 - 22*h**2/13 - 2*h - 701. Find t, given that q(t) = 0. 1, 11/7, 2 Let n(w) be the third derivative of -w**6/30 + 16*w**5/15 + 8*w**4 - 768*w**3 - 4331*w**2. Factor n(g). -4*(g - 12)**2*(g + 8) Let v(h) be the first derivative of -3/35*h**5 + 3/4*h**4 + 0*h**2 + 23 + 0*h - 10/7*h**3. Suppose v(a) = 0. Calculate a. 0, 2, 5 Let z(w) be the first derivative of 3*w**4/20 + 143*w**3/5 + 15549*w**2/10 + 15123*w/5 - 2573. Let z(c) = 0. Calculate c. -71, -1 Suppose 0 = -131*a + 132*a - 5. Suppose -a*d - 2 = -4*i + 6, -2*d - 3*i + 6 = 0. Factor 0*c + 6/5*c**3 + 33/5*c**4 + 27/5*c**5 + d*c**2 + 0. 3*c**3*(c + 1)*(9*c + 2)/5 Suppose a = -3*k + 55, 4*a = -193*k + 188*k + 101. Let i(q) be the first derivative of 7/11*q**2 + 2/33*q**3 + k + 12/11*q. Determine u, given that i(u) = 0. -6, -1 Let x(j) = -7*j**2 + j. Let a = 21 - 23. Let f(g) be the first derivative of 2*g**3 - g**2 - 3. Let r(b) = a*x(b) - 3*f(b). Factor r(o). -4*o*(o - 1) Let x(a) be the second derivative of 9*a**5/140 + 11*a**4/84 - 8*a**3/7 - 4269*a. Factor x(k). k*(k + 3)*(9*k - 16)/7 Suppose -4*o = 5*p - 3377, 17*p - 18*p + 688 = 5*o. Factor -338*m**3 - 15*m**2 + p*m**3 - 340*m**3. -5*m**2*(m + 3) Let u be ((-27468)/8829)/(10*(-4)/36). Find q such that -u*q + 2/5*q**2 + 0 = 0. 0, 7 Let j(a) be the third derivative of a**5/120 + 665*a**4/48 + 166*a**3/3 + 6109*a**2. Factor j(f). (f + 1)*(f + 664)/2 Let t be (-10)/(-45) + 0 + 125/45. Let x(g) be the second derivative of -5/6*g**t - 1/4*g**5 + 0*g**2 + 14*g - 5/6*g**4 + 0. Let x(h) = 0. Calculate h. -1, 0 Let f(p) be the first derivative of 7*p**4/4 + 379*p**3/9 + 8*p**2/3 - 12*p - 1429. What is k in f(k) = 0? -18, -1/3, 2/7 Let r be ((-16)/36 - (-1088)/(-3060)) + (-1)/(200/(-245185)). Suppose r*v**3 - 189/2*v + 3 + 2673/4*v**2 = 0. Calculate v. -2/3, 2/33 Let x(m) be the first derivative of -m**6/27 - 226*m**5/45 - 2891*m**4/18 + 34810*m**3/27 + 6338. Suppose x(n) = 0. What is n? -59, 0, 5 Suppose 320*o + 1860 = 332*o. Let a = 623/4 - o. Factor -1/4*f**2 + 1 - a*f. -(f - 1)*(f + 4)/4 Let q(y) be the second derivative of -y**4/8 - 67*y**3/2 - 13467*y**2/4 + 2753*y. What is i in q(i) = 0? -67 Let d = 33 + -23. Let r be (27/(-15))/(-3) + 54/d. Factor 3584 + 4*q + 2*q**3 - r*q**2 - 3584. 2*q*(q - 2)*(q - 1) Let o = 141943/1050 - 23628/175. Let 0 + 1/6*g**3 - g - o*g**2 = 0. Calculate g. -2, 0, 3 Factor 431*a**2 - 847*a**2 + 418*a**2 + 180 + 46*a. 2*(a + 5)*(a + 18) What is f in 0*f + 0 + 4*f**4 + 6/5*f**3 + 14/5*f**5 + 0*f**2 = 0? -1, -3/7, 0 Let h(i) be the first derivative of i**3/3 - 2*i**2 - 8*i + 13. Let l be h(6). Factor 12*s**l + 643*s**2 + 11*s + s - 607*s**2 - 45*s**3. 3*s*(s - 2)**2*(4*s + 1) Factor -724/3*o**2 + 4/3*o**3 + 0 + 240*o. 4*o*(o - 180)*(o - 1)/3 Let g(z) be the third derivative of 0*z**3 + 0 + 1/5*z**6 + 0*z + 55*z**2 + 2/105*z**7 + 0*z**4 + 3/5*z**5. Determine s so that g(s) = 0. -3, 0 Let x(g) = -g**2 + 13*g + 70. Let o be x(-4). Suppose 11*u**3 - 1339*u + 1604*u + 216*u**o + 4*u**3 - 110 - 26*u**2 = 0. What is u? -11, -2, 1/3 Let d be 36/8*4/9. Solve -2*q - 4*q**3 + 12 + 313*q**2 - 166*q**2 + 6*q - 159*q**d = 0 for q. -3, -1, 1 Let z = 8999081/5 + -1799815. Solve z*o + 1/10*o**3 + 4/5 + 3/5*o**2 = 0 for o. -2 Let g(p) be the third derivative of 35*p**4 + 75*p**3 + 11*p**2 - 59/30*p**5 + 1/30*p**6 + 0 + 0*p. Suppose g(h) = 0. What is h? -1/2, 15 Let b = -59 + 61. Let d(s) = 3 + 0 + 5*s - b - 4*s. Let x(n) = 2*n**2 - 18*n - 12. Let p(w) = 28*d(w) + 2*x(w). Factor p(y). 4*(y - 1)**2 Let w be (58 - 4123/70)/((-6)/256). Factor 304/5*a + 36/5*a**3 + 2/5*a**4 + w + 168/5*a**2. 2*(a + 2)**3*(a + 12)/5 Factor 28/3*h**2 - 2/3*h**4 - 32*h + 14/3*h**3 + 0. -2*h*(h - 8)*(h - 2)*(h + 3)/3 Let f be ((-1420)/(-210))/((-576)/(-81)). Let g = 189/32 + f. Factor 0*k + 0 + g*k**4 - 36/7*k**3 - 20/7*k**5 + 8/7*k**2. -4*k**2*(k - 1)**2*(5*k - 2)/7 Let u = -24389/2 + 11886. Let j = -301 - u. Suppose 25/4*s**2 + 0 + j*s - 10*s**3 - 15/4*s**4 = 0. Calculate s. -3, -2/3, 0, 1 Factor -962*o**3 - 143*o + 215*o**3 + 45*o**4 - 835*o**2 + 3*o - 483*o**3. 5*o*(o - 28)*(3*o + 1)**2 Let q = 138190/27 - 551221/108. Factor -3*b**2 + 3/4*b**3 - q*b - 21/2. 3*(b - 7)*(b + 1)*(b + 2)/4 Let f(t) be the third derivative of t**6/320 + t**5/40 - 3*t**4/2 - 300*t**2. Factor f(y). 3*y*(y - 8)*(y + 12)/8 Let n = -16062/197 - -94179/394. Find b, given that -60*b - 5/2*b**2 - n = 0. -21, -3 Let a(o) = -10*o**2 + 734*o - 1508. Let d(i) = 2*i**2 + 5*i + 2. Let q(c) = -a(c) - 4*d(c). Find v, given that q(v) = 0. 2, 375 Suppose 15*d + 40 = -5*c + 11*d, -51 = 3*d - 21. Find t, given that -2/3*t**2 + c - 12*t = 0. -18, 0 Let q(j) = 61842*j + 248336. Let l be q(-4). Determine a, given that -44*a**2 - 21296/3 - l*a - 2/3*a**3 = 0. -22 Suppose 627*s + 33 = 632*s - 3*n, 2*s + 5*n + 24 = 0. Let u(t) be the third derivative of 1/90*t**5 - 1/6*t**4 + 5/9*t**s - 12*t**2 + 0 + 0*t. Factor u(q). 2*(q - 5)*(q - 1)/3 Let u(d) be the second derivative of d**5/5 + 3*d**4 - 144*d**3 - 4320*d**2 + 4618*d. Factor u(h). 4*(h - 15)*(h + 12)**2 Let g = -592/417 + 290/139. Solve 1/9*w**5 - 4/9*w**2 - 4/9*w**4 + 0 + g*w**3 + 1/9*w = 0. 0, 1 Suppose 19*f - 6*f = -0*f. Let -5*a**3 + 2*a**3 + 9*a**2 - 5*a + f*a - a**4 = 0. Calculate a. -5, 0, 1 Let b(a) = -6*a**2 + 21*a - 15. Suppose -10*d + 8 = 28. Let n(y) = -5*y**2 + 21*y - 16. Let f(z) = d*b(z) + 3*n(z). Factor f(q). -3*(q - 6)*(q - 1) Suppose r + 7 - 12 = 0. Suppose -7*t = -r*t - 6. Factor 12*m + 20*m**2 + 9*m**t + 18*m**2 - 24 - 8*m**2. 3*(m + 2)**2*(3*m - 2) Let j(d) be the second derivative of -5*d**7/14 - 284*d**6/3 - 741*d**5/4 + 2605*d**4/3 + 2510*d**3 + 1880*d**2 - 12938*d. Suppose j(s) = 0. What is s? -188, -2, -1, -1/3, 2 Let a(o) = -2*o**3 + 134*o**2 - 2456*o + 6. Let u(y) = -y**2 - y + 1. Suppose -2*w = 4*f + 6, -3*w = f + 2 + 2. Let q(b) = w*a(b) + 6*u(b). Factor q(j). 2*j*(j - 35)**2 Suppose -25*j = 31*n - 28*n - 273, -4*n + 4*j = -28. Factor n*m - 18 - 32/9*m**2. -2*(4*m - 9)**2/9 Let h = -13556/7 + 67808/35. Let r(g) be the first derivative of 2/5*g**5 + 0*g**2 - 32 - h*g**4 + 0*g - 8/15*g**3. Solve r(y) = 0 for y. -2/5, 0, 2 Let x = 1977/58 - 162/29. Let m(o) be the first derivative of -6*o + 10*o**3 - 27 - x*o**2. Determine c so that m(c) = 0. -1/10, 2 Let h(w) be the first derivative of w**5/130 + 7*w**4/78 + 10*w**3/39 - 264*w + 198. Let o(r) be the first derivative of h(r). Factor o(l). 2*l*(l + 2)*(l + 5)/13 Let o(h) be the second derivative of h**6/90 - h**4/6 + h**3 + h**2 - 7*h + 3. Let f(w) be the second derivative of o(w). Factor f(g). 4*(g - 1)*(g + 1) Factor -167*s - 127*s**2 - 68*s**3 - 2*s**4 - 83*s**2 - 13*s + 76*s**2 - 112*s**2. -2*s*(s + 1)*(s + 3)*(s + 30) Let f(q) be the first derivative of -2/5*q**5 + 0*q**2 + 45 + 0*q + 9*q**4 - 54*q**3. Find z, given that f(z) = 0. 0, 9 Factor -16/9*c - 14/9 - 2/9*c**2. -2*(c + 1)*(c + 7)/9 Let p(o) = -2*o - 47. Let j = 597 - 623. Let u be
{ "pile_set_name": "DM Mathematics" }
, -2, -5 Sort -14, -5, -12 in increasing order. -14, -12, -5 Sort -0.3, -46/121, -5 in increasing order. -5, -46/121, -0.3 Sort -3, -5, 2, 0 in decreasing order. 2, 0, -3, -5 Put -2, -1, 20, 75 in decreasing order. 75, 20, -1, -2 Put 4, -3, 1, 3 in decreasing order. 4, 3, 1, -3 Sort 2, -4, -99, 4, -3. -99, -4, -3, 2, 4 Put -3, 22, 45 in decreasing order. 45, 22, -3 Sort 0.2, -0.5, -2/519, 5, 4 in decreasing order. 5, 4, 0.2, -2/519, -0.5 Put -3, -2/11, 5/4, -0.7 in descending order. 5/4, -2/11, -0.7, -3 Sort -10, 2, 64. -10, 2, 64 Put 1, 20, 5, 29 in increasing order. 1, 5, 20, 29 Put -1, -82, 3, 0 in decreasing order. 3, 0, -1, -82 Sort -2, 5, 52, 9. -2, 5, 9, 52 Put 2, 195, -2 in increasing order. -2, 2, 195 Sort 2, 1, -114 in descending order. 2, 1, -114 Sort 12, -3, 2, 1/2, -1/4 in ascending order. -3, -1/4, 1/2, 2, 12 Put -4, -12, 24, -1 in descending order. 24, -1, -4, -12 Sort 16, 5, 11. 5, 11, 16 Sort 19, 6, -1.1, 0.2 in decreasing order. 19, 6, 0.2, -1.1 Sort -2, 328, 4 in decreasing order. 328, 4, -2 Sort 4, 7, -3, -1, -2 in increasing order. -3, -2, -1, 4, 7 Sort 31, 0, -3 in ascending order. -3, 0, 31 Put 288, 3/4, 0.4, -0.1 in decreasing order. 288, 3/4, 0.4, -0.1 Sort 3, 1, 272, 4 in decreasing order. 272, 4, 3, 1 Sort 17/6, -1/3, 0.4, 3/7, 0.01 in descending order. 17/6, 3/7, 0.4, 0.01, -1/3 Put -550, -2, -0.5 in decreasing order. -0.5, -2, -550 Put 3/8, 153, -2/5 in increasing order. -2/5, 3/8, 153 Sort 1, 4, 41/8 in decreasing order. 41/8, 4, 1 Sort -1/8, -38, 0.4, 0.9. -38, -1/8, 0.4, 0.9 Sort -2/7, 561, 0, -0.04. -2/7, -0.04, 0, 561 Sort -15, -45, 1 in ascending order. -45, -15, 1 Sort 1, -2, 15, 4, -1 in descending order. 15, 4, 1, -1, -2 Put -5, -3, 3, 5, 15 in increasing order. -5, -3, 3, 5, 15 Put -0.2, -2/21, -35, -5 in ascending order. -35, -5, -0.2, -2/21 Sort 16/3, -40, -0.1 in ascending order. -40, -0.1, 16/3 Sort 45, 2, 4 in decreasing order. 45, 4, 2 Put -2, -4, -16, 2 in decreasing order. 2, -2, -4, -16 Sort 739, -0.5, -1, -8. -8, -1, -0.5, 739 Put 5, -4/3, -1.6, 68, -3/7 in decreasing order. 68, 5, -3/7, -4/3, -1.6 Sort 0.07, -0.5, -6.02 in ascending order. -6.02, -0.5, 0.07 Put 9, -3/4, 7.4 in descending order. 9, 7.4, -3/4 Put 5, 1102, -4, 2 in descending order. 1102, 5, 2, -4 Sort -13, -3, -4 in increasing order. -13, -4, -3 Put 46, 2, -3, 3 in descending order. 46, 3, 2, -3 Sort 1, 7, 4, 2. 1, 2, 4, 7 Sort 3, -1, 1, -92, -5. -92, -5, -1, 1, 3 Sort 4/5, -1768, 2/11 in descending order. 4/5, 2/11, -1768 Sort 2, -0.3, 0.2, -1/3, -0.1 in descending order. 2, 0.2, -0.1, -0.3, -1/3 Put 22, -16, 1/3, 3, -1 in descending order. 22, 3, 1/3, -1, -16 Sort -6/17, 0.05, -5. -5, -6/17, 0.05 Sort -4/3, -1.66, 1/2, 0.4. -1.66, -4/3, 0.4, 1/2 Sort 5, 4, 11, -5, -0.1 in decreasing order. 11, 5, 4, -0.1, -5 Sort -4, 5/12, 0.3 in increasing order. -4, 0.3, 5/12 Put 2/9, -0.02, -2, -1/5 in decreasing order. 2/9, -0.02, -1/5, -2 Sort 4/7, -1, 1/37 in descending order. 4/7, 1/37, -1 Sort -3, 1, 3, 6 in decreasing order. 6, 3, 1, -3 Put -1/3, 0.0844, 0, -7 in descending order. 0.0844, 0, -1/3, -7 Sort 7, 0, 17, -1. -1, 0, 7, 17 Sort -3, 4, 1539 in decreasing order. 1539, 4, -3 Put -2, 0, 3, -3/11 in decreasing order. 3, 0, -3/11, -2 Put 4, 14, 0 in ascending order. 0, 4, 14 Sort 1, -0.2, 5, 0.5 in increasing order. -0.2, 0.5, 1, 5 Sort 5, 0.05, 3, 162 in descending order. 162, 5, 3, 0.05 Sort 3, 5, -4, 1 in ascending order. -4, 1, 3, 5 Sort -2/3, 1/9, 2/9, -2 in ascending order. -2, -2/3, 1/9, 2/9 Sort -1, 1, 2, 87. -1, 1, 2, 87 Put -5/8, -1/5, 4, -5, 3 in decreasing order. 4, 3, -1/5, -5/8, -5 Sort 42, 4, 1, 2 in descending order. 42, 4, 2, 1 Sort -7/50, 3, 1. -7/50, 1, 3 Sort 41, 5, -2 in descending order. 41, 5, -2 Sort -0.05, 4/9, 1.4 in ascending order. -0.05, 4/9, 1.4 Sort 5, 0, 3, 4 in increasing order. 0, 3, 4, 5 Put 173, -2, 1, 2/5 in decreasing order. 173, 1, 2/5, -2 Sort 6/5, 1/2, 7/3, -6/5 in increasing order. -6/5, 1/2, 6/5, 7/3 Put 2, -3, -31 in increasing order. -31, -3, 2 Put 4, -48, -34 in increasing order. -48, -34, 4 Sort -1, 753, -4/3 in decreasing order. 753, -1, -4/3 Put 2, -3, 6, 3, -103 in ascending order. -103, -3, 2, 3, 6 Sort 3, -3, -144 in ascending order. -144, -3, 3 Sort -487, 4, -8, 5 in decreasing order. 5, 4, -8, -487 Put 1/6, -0.4, -115, -2/9 in increasing order. -115, -0.4, -2/9, 1/6 Sort 8, 3, 0, -150 in decreasing order. 8, 3, 0, -150 Put 0.4, 0.5, -23, 0, 3 in descending order. 3, 0.5, 0.4, 0, -23 Put -7, 16, 0 in ascending order. -7, 0, 16 Sort 13, 2, 0.4, -1, 0 in decreasing order. 13, 2, 0.4, 0, -1 Put -561, 6, 1 in descending order. 6, 1, -561 Sort -4/7, 0.4, 3, -2, -4 in ascending order. -4, -2, -4/7, 0.4, 3 Sort -2, 3, 503. -2, 3, 503 Put -3, 1, -8.6 in ascending order. -8.6, -3, 1 Put -1, 1/4, -1.999, 1 in increasing order. -1.999, -1, 1/4, 1 Put 7960, 1, -5 in descending order. 7960, 1, -5 Put 0, -2, 551, -6 in decreasing order. 551, 0, -2, -6 Put 6, -7, -1, 2 in decreasing order. 6, 2, -1, -7 Sort 2/7, 4, -2/3, 2 in descending order. 4, 2, 2/7, -2/3 Sort 5, -1/18, -1, -2/3. -1, -2/3, -1/18, 5 Put -30, -3, -2 in decreasing order. -2, -3, -30 Put -5, -211, 8, -2 in increasing order. -211, -5, -2, 8 Put 11, -0.066, -4 in decreasing order. 11, -0.066, -4 Sort -8, 5, -3, -5 in ascending order. -8, -5, -3, 5 Put 0, -2/17, 7 in ascending order. -2/17, 0, 7 Put 1, 2, 21 in decreasing order. 21, 2, 1 Sort -1, 69, 1, -41. -41, -1, 1, 69 Sort -1, 2, 6587 in decreasing order. 6587, 2, -1 Sort -1, -2/15, -2/5, -0.15. -1, -2/5, -0.15, -2/15 Put 0.1, 0.4, -0.2, 38 in decreasing order. 38, 0.4, 0.1, -0.2 Sort -14, -3, -1, 8, -5 in decreasing order. 8, -1, -3, -5, -14 Sort 37, -0.4, -4/7 in increasing order. -4/7, -0.4, 37 Sort 365, 4, -5. -5, 4, 365 Sort -2, -6, -4, 2 in increasing order. -6, -4, -2, 2 Sort -4/3, 181, -15. -15, -4/3, 181 Put -2, 4, 0, 29 in decreasing order. 29, 4, 0, -2 Sort 2/3, -3.89, -2, -2/3, 2 in decreasing order. 2, 2/3, -2/3, -2, -3.89 Put 4, -8, 3, 59 in increasing order. -8, 3, 4, 59 Sort -2, 3, 5, 8, -13. -13, -2, 3, 5, 8 Sort 5, 69, 3. 3, 5, 69 Put 23, -0.2, -4 in ascending order. -4, -0.2, 23 Sort 2, -34, 1, -22 in descending order. 2, 1, -22, -34 Put 3, 0, -43 in descending order. 3, 0, -43 Put -3.53, -3, 2 in descending order. 2, -3, -3.53 Put 59, -2, -1, -3 in ascending order. -3, -2, -1, 59 Put -57, 2, -16, 4, 5 in increasing order. -57, -16, 2, 4, 5 Put -1, 286, -0.8 in ascending order. -1, -0.8, 286 Put -3/7, -264, 2 in decreasing order. 2, -3/7, -264 Put 4, -1, -4, -9 in descending order. 4, -1, -4, -9 Put -4, -0.286, 1/3 in descending order. 1/3, -0.286, -4 Put -16/7, 60, -2 in increasing order. -16/7, -2, 60 Sort -5, -2, 1, -1 in decreasing order. 1, -1, -2, -5 Put 57, 3, -3 in increasing order. -3, 3, 57 Sort 0.1, 24, 0, -5. -5, 0, 0.1, 24 Sort 12142, -1, -3. -3, -1, 12142 Sort -1, -14, 3, -4 in increasing order. -14, -4, -1, 3 Sort 2, 1, 39 in descending order. 39, 2, 1 Put 0, 929/15, 2/7 in ascending order. 0, 2/7, 929/15 Sort -0.04, -1, -5, 5. -5, -1, -0.04, 5 Put 9, -6, 4, 2, 1 in increasing order. -6, 1, 2, 4, 9 Put -66, 12, 0, 4 in ascending order. -66, 0, 4, 12 Put -29, 4, -4, -2 in increasing order. -29, -4, -2, 4 Sort 5, -3, -7 in descending order. 5, -3, -7 Sort -2, 2, 4, -5, -12 in decreasing order. 4, 2, -2, -5, -12 Put -5, -13, 3/8, 18, -1/7 in decreasing order. 18, 3/8, -1/7, -5, -13 Put 2, -2, 3, -5, 1 in increasing order. -5, -2, 1, 2, 3 Put 4, 0, -98, 24 in decreasing order. 24, 4, 0, -98 Sort 3, -10, 5, 11 in decreasing order. 11, 5, 3, -10 Sort 0.215, -3/5, 3/5 in decreasing order. 3/5, 0.215, -3/5 Put -0.1, -2, 0, -0.3 in increasing order. -2, -0.3, -0.1, 0 Put 4, 102, 1/2 in decreasing order. 102, 4, 1/2 Put -2, 1, 0, -5 in increasing order. -5, -2, 0, 1 Sort -4, 3, -13, -6, 2. -13, -6, -4, 2, 3 Put 5, -2, 0, -3 in descending order. 5, 0, -2, -3 Put -0.5, -0.05, -0.4, -28 in ascending order. -28, -0.5, -0.4, -0.05 Sort 5, 192, 1. 1, 5, 192 Put -7, 3, 2/3, 1/4 in ascending order. -7, 1/4, 2/3, 3 Put -4, -5, -8 in ascending order. -8, -5, -4 Put -6.7, -3, 2 in decreasing order. 2, -3, -6.7 Put -10, -25, 7, 5 in decreasing order. 7, 5, -10, -25 Sort 58, 1, -4, -1 in decreasing order. 58, 1, -1, -4 Sort 10, 2, 12.4 in decreasing order. 12.4
{ "pile_set_name": "DM Mathematics" }
l, and 1 a when four letters picked without replacement from jbaajljbzaaaa? 18/715 What is prob of picking 1 z, 1 u, and 1 v when three letters picked without replacement from {v: 1, u: 2, z: 1, b: 1, e: 1, g: 1}? 2/35 Calculate prob of picking 2 g when two letters picked without replacement from {d: 4, g: 2}. 1/15 Calculate prob of picking 1 t, 1 u, and 2 o when four letters picked without replacement from {u: 3, q: 1, t: 1, c: 4, i: 4, o: 2}. 1/455 Two letters picked without replacement from {t: 1, v: 2}. Give prob of picking 1 t and 1 v. 2/3 Calculate prob of picking 1 e and 1 y when two letters picked without replacement from eayae. 1/5 Calculate prob of picking 2 k and 1 x when three letters picked without replacement from {k: 2, x: 5}. 1/7 Calculate prob of picking 2 d when two letters picked without replacement from dbebed. 1/15 What is prob of picking 1 m, 1 w, and 1 r when three letters picked without replacement from wrmrr? 3/10 Calculate prob of picking 4 q when four letters picked without replacement from llqqqqlwlq. 1/42 Calculate prob of picking 1 k and 1 v when two letters picked without replacement from kbbbbrvvbrbbrr. 2/91 Calculate prob of picking 2 i and 2 t when four letters picked without replacement from ihhhhhthihht. 1/495 Four letters picked without replacement from {h: 2, u: 1, e: 1, z: 6, w: 3, a: 2}. What is prob of picking 1 h, 1 u, 1 a, and 1 z? 8/455 Three letters picked without replacement from {g: 2, r: 6}. Give prob of picking 3 r. 5/14 What is prob of picking 1 q, 2 a, and 1 j when four letters picked without replacement from aaqaqajajjqaqjjja? 18/85 Calculate prob of picking 1 s and 1 t when two letters picked without replacement from tmccmoss. 1/14 Three letters picked without replacement from qaqmqqyqqhqqqqqhye. What is prob of picking 1 m and 2 h? 1/816 Two letters picked without replacement from {q: 5, a: 5, c: 4, g: 1, o: 4}. Give prob of picking 1 o and 1 g. 4/171 What is prob of picking 4 o when four letters picked without replacement from oooo? 1 Three letters picked without replacement from zbbagaabwgzkzab. What is prob of picking 2 a and 1 b? 24/455 What is prob of picking 1 s, 1 q, and 2 r when four letters picked without replacement from qrqdfsr? 2/35 What is prob of picking 3 a when three letters picked without replacement from {o: 4, a: 3}? 1/35 Two letters picked without replacement from {m: 1, g: 1, h: 2, d: 3, e: 3, y: 3}. What is prob of picking 1 d and 1 y? 3/26 Calculate prob of picking 2 n, 1 c, and 1 u when four letters picked without replacement from {w: 2, n: 4, c: 2, l: 4, u: 2}. 24/1001 Two letters picked without replacement from rouaa. What is prob of picking 1 r and 1 u? 1/10 Calculate prob of picking 1 m, 1 n, and 1 c when three letters picked without replacement from vjnvjmcn. 1/28 Calculate prob of picking 2 s and 1 k when three letters picked without replacement from {s: 9, z: 10, k: 1}. 3/95 Calculate prob of picking 1 e, 1 v, and 1 a when three letters picked without replacement from {b: 2, s: 3, v: 4, i: 1, e: 4, a: 3}. 6/85 What is prob of picking 2 i when two letters picked without replacement from {i: 2, d: 5}? 1/21 Calculate prob of picking 2 d and 1 c when three letters picked without replacement from {c: 1, u: 4, i: 5, l: 1, d: 3}. 3/364 Calculate prob of picking 2 v when two letters picked without replacement from {x: 3, i: 2, c: 5, v: 3}. 1/26 Three letters picked without replacement from fmbbwffbwrbbbbfbmf. What is prob of picking 1 r and 2 w? 1/816 Two letters picked without replacement from {h: 4, k: 3, b: 5}. Give prob of picking 1 h and 1 k. 2/11 What is prob of picking 1 u and 2 h when three letters picked without replacement from {z: 4, u: 2, h: 2, i: 2}? 1/60 What is prob of picking 1 s and 1 q when two letters picked without replacement from qlsslllqsslss? 2/13 Three letters picked without replacement from {k: 4, m: 1, t: 3, x: 2}. Give prob of picking 1 t and 2 k. 3/20 Four letters picked without replacement from itktkmmkk. Give prob of picking 1 m, 1 i, 1 k, and 1 t. 8/63 Three letters picked without replacement from acaaaaaa. What is prob of picking 3 a? 5/8 Two letters picked without replacement from ssxfxxssfsssxs. Give prob of picking 1 s and 1 f. 16/91 Three letters picked without replacement from oofffoofoffofooo. What is prob of picking 3 f? 1/16 Calculate prob of picking 2 g and 2 i when four letters picked without replacement from jhiihgihhhgh. 1/165 Four letters picked without replacement from duvmuruurujvdmuu. What is prob of picking 1 u, 1 v, and 2 r? 1/130 Calculate prob of picking 1 y and 1 z when two letters picked without replacement from {y: 2, u: 1, h: 2, q: 4, z: 1}. 2/45 Calculate prob of picking 1 f, 1 z, and 1 m when three letters picked without replacement from {z: 2, k: 2, f: 1, m: 1}. 1/10 Calculate prob of picking 1 r and 1 v when two letters picked without replacement from fvrfr. 1/5 What is prob of picking 2 z when two letters picked without replacement from zrgyozzyozzo? 5/33 Two letters picked without replacement from {v: 2, o: 5, f: 4}. Give prob of picking 1 f and 1 v. 8/55 What is prob of picking 2 r and 1 m when three letters picked without replacement from rfnmnmmnnnrfrnmntnn? 4/323 Calculate prob of picking 1 o and 3 k when four letters picked without replacement from kokokooookkko. 28/143 Calculate prob of picking 1 z and 1 c when two letters picked without replacement from {z: 1, r: 1, c: 1}. 1/3 Three letters picked without replacement from {x: 3, g: 4}. Give prob of picking 3 x. 1/35 Two letters picked without replacement from fjjxjyxxfvxkjjj. Give prob of picking 2 j. 1/7 Two letters picked without replacement from tte. What is prob of picking 2 t? 1/3 Calculate prob of picking 2 c, 1 s, and 1 h when four letters picked without replacement from ccpscschssphschcc. 9/68 Three letters picked without replacement from nnnnninnnnnn. What is prob of picking 3 n? 3/4 Four letters picked without replacement from kttttpktkkttkppt. What is prob of picking 3 k and 1 p? 3/182 Calculate prob of picking 1 y and 1 k when two letters picked without replacement from {l: 3, t: 1, y: 4, v: 1, m: 5, k: 3}. 3/34 What is prob of picking 1 r and 3 t when four letters picked without replacement from vvrvtivtvvrirrirvrt? 1/646 Two letters picked without replacement from {x: 19, o: 1}. What is prob of picking 1 x and 1 o? 1/10 What is prob of picking 3 j and 1 w when four letters picked without replacement from {j: 4, w: 4, b: 2, c: 2}? 16/495 Three letters picked without replacement from poppopoopo. What is prob of picking 2 p and 1 o? 5/12 Two letters picked without replacement from {c: 5, u: 1, k: 3, f: 3, j: 8}. What is prob of picking 2 f? 3/190 What is prob of picking 2 y when two letters picked without replacement from {w: 2, y: 11}? 55/78 What is prob of picking 1 w and 2 i when three letters picked without replacement from dddddwddwiddddwdidwi? 1/95 Calculate prob of picking 2 q and 2 k when four letters picked without replacement from {q: 6, b: 1, y: 1, k: 8}. 3/13 Four letters picked without replacement from aualzaazulafszzzuuzz. What is prob of picking 3 a and 1 f? 2/969 Three letters picked without replacement from awwauuwauwaauw. Give prob of picking 1 a and 2 u. 15/182 Three letters picked without replacement from wwawwawaaawawwwaawa. Give prob of picking 3 a. 28/323 Two letters picked without replacement from rrybyrbyyydyyr. Give prob of picking 1 y and 1 d. 1/13 Calculate prob of picking 3 l when three letters picked without replacement from llltxtxl. 1/14 Four letters picked without replacement from iiuuiuiiiu. What is prob of picking 2 u and 2 i? 3/7 Calculate prob of picking 2 v when two letters picked without replacement from vvvvv. 1 What is prob of picking 1 a and 1 n when two letters picked without replacement from {a: 7, o: 1, s: 1, n: 6}? 2/5 Calculate prob of picking 1 i and 1 z when two letters picked without replacement from {i: 1, j: 3, d: 1, b: 1, z: 1}. 1/21 Three letters picked without replacement from {q: 1, h: 1, l: 1, u: 2}. Give prob of picking 1 q, 1 u, and 1 l. 1/5 Calculate prob of picking 2 t when two letters picked without replacement from {k: 2, i: 1, t: 1, y: 3}. 0 What is prob of picking 1 m a
{ "pile_set_name": "DM Mathematics" }
3 (d) 2/7 (e) -1.55 a What is the fourth biggest value in -2/11, 0.5, -3, 0.01? -3 Which is the second biggest value? (a) 5 (b) 0.2 (c) -2 (d) 2/7 d What is the third biggest value in -4, 3/1184, 0.1? -4 Which is the third smallest value? (a) 0.1 (b) -4 (c) 0.2 (d) -1/58 a What is the fourth biggest value in 1/5, -11, -0.13, 0? -11 What is the fourth biggest value in 2/9, 14, 1, -3/8? -3/8 Which is the smallest value? (a) 11 (b) -5/2 (c) 4 (d) 5 (e) -1 b What is the fourth biggest value in -5, 3.6, 2, -4, -1/5? -4 What is the third biggest value in 23, -1, 4? -1 What is the biggest value in -2/3, -3, -0.8, -1/3, -7/6? -1/3 What is the third smallest value in 250, 3, 4/3? 250 Which is the smallest value? (a) 0.3 (b) 22/3 (c) 4/5 (d) 2 a Which is the biggest value? (a) 2/5 (b) -0.4 (c) 5 (d) 0.5 (e) 0.037 c What is the third smallest value in 6/7, 0.3, -4/5, -1/3? 0.3 Which is the smallest value? (a) 11/15 (b) -4 (c) 5 b Which is the fifth smallest value? (a) -5 (b) -3 (c) -4/81 (d) -0.2 (e) -1 c Which is the second biggest value? (a) -1/3 (b) -12/37 (c) 8 (d) 2/7 (e) 0 d Which is the fourth biggest value? (a) 78 (b) -1/5 (c) 2/9 (d) 0.5 b What is the fourth smallest value in 5, 0.4, 102, -3? 102 Which is the second biggest value? (a) -3 (b) 3/2 (c) -2 (d) -0.7 (e) -0.69 e Which is the second biggest value? (a) -2 (b) 0.4 (c) 22 (d) -1 (e) 0.1 b What is the third biggest value in 44, 0.1, -5, -9? -5 Which is the fifth smallest value? (a) -623 (b) -3 (c) -2/11 (d) -0.2 (e) -3/2 c Which is the fifth biggest value? (a) -1/4 (b) -2/5 (c) 0.5 (d) -1/9 (e) 43 b What is the biggest value in -0.4, 46, -5? 46 What is the third biggest value in 11, -3, 0.09? -3 Which is the second biggest value? (a) -742 (b) 1 (c) 2/17 c Which is the third smallest value? (a) 30/11 (b) 3/4 (c) -0.3 a Which is the biggest value? (a) -2/15 (b) 7 (c) -0.1 (d) 5 b What is the smallest value in 1, -1/43, 5? -1/43 Which is the third smallest value? (a) 2 (b) -241/7 (c) -4 (d) -2 (e) -0.1 d Which is the biggest value? (a) -5 (b) 2/17 (c) -0.1 (d) 5 (e) 3 d What is the second biggest value in 1, 4, 5? 4 Which is the second biggest value? (a) -0.5 (b) 0.5 (c) 2 (d) 136 (e) -5 c What is the second smallest value in 4, -19, -2/7? -2/7 What is the third biggest value in -0.1, 2/49, -5, 12/11? -0.1 Which is the third biggest value? (a) 3/7 (b) -5 (c) -2/5 (d) -133 b Which is the third smallest value? (a) -5 (b) 0.3 (c) 4/13 c Which is the third biggest value? (a) 251 (b) 2 (c) 3 (d) -3/4 b What is the fourth smallest value in 2, -97, 0.16, 3? 3 What is the second smallest value in -7, -2, -0.4, -0.1? -2 What is the third smallest value in -37, 0, -5? 0 What is the biggest value in -399, 4, -0.5, -0.3, -0.6? 4 Which is the fifth smallest value? (a) -0.04 (b) -0.08 (c) -3/7 (d) -4 (e) -3 a Which is the biggest value? (a) 0.5 (b) -4 (c) 0.1 (d) 44 d Which is the second smallest value? (a) 5 (b) 0.6 (c) 0.2 (d) 2/11 c What is the fourth smallest value in 1, -4, -1/8, 0.5? 1 What is the fourth biggest value in 5, 3/4, -1, -0.07? -1 What is the third biggest value in 0, 2/7, 5/17? 0 Which is the fifth biggest value? (a) -2/11 (b) -24 (c) -0.07 (d) 0.3 (e) -1/5 b What is the second smallest value in -2, -1/52, -11, 5? -2 What is the third smallest value in -4, 4, 2/5, -0.109? 2/5 Which is the second biggest value? (a) -3/163 (b) -0.4 (c) 1 a Which is the third biggest value? (a) -1/3 (b) -1/172 (c) -2/3 c Which is the third smallest value? (a) -0.4 (b) -3 (c) -0.5 (d) -4/13 a What is the third smallest value in -0.07, 2/7, 1/4, -0.1? 1/4 Which is the second biggest value? (a) 0.5 (b) 244 (c) 2 (d) 0.01 (e) -1 c Which is the third biggest value? (a) 0.09 (b) -0.5 (c) 0.1 (d) 0.4 a What is the second smallest value in 4, -108, -2/3? -2/3 Which is the third biggest value? (a) 0.27 (b) 5/4 (c) -1 (d) -3 (e) 3/5 a What is the second biggest value in 26, 1/6, 2/11? 2/11 What is the third biggest value in 22, -1, -0.4? -1 What is the second smallest value in 0.1, 1/5, -2, -0.5? -0.5 Which is the third biggest value? (a) -11 (b) -0.4 (c) 4 a What is the fourth smallest value in -2/17, 3/4, 2/5, -12? 3/4 Which is the second biggest value? (a) 1.5 (b) 3.1 (c) -3/8 a Which is the smallest value? (a) 0.2 (b) -3 (c) 0 (d) 16 b What is the second biggest value in 24, 1, -0.08? 1 What is the second biggest value in -4, 4, 5, 0.038? 4 What is the smallest value in -0.5, 0, -54? -54 Which is the third smallest value? (a) 2/5 (b) 0.3 (c) 0.02 a Which is the second smallest value? (a) -169 (b) -4 (c) 2 b Which is the third biggest value? (a) 1/4 (b) -3 (c) 5 b What is the biggest value in 2, -4/5, -3/7? 2 What is the smallest value in 9, 8/9, -2? -2 What is the third biggest value in -2/17, 2, -6/11? -6/11 Which is the biggest value? (a) 0.27 (b) -5 (c) -2 (d) 4 d Which is the second smallest value? (a) 4 (b) 3/8 (c) -0.389 b What is the biggest value in -2, 0.2, 5, -5/24? 5 What is the second biggest value in -0.5, 25, 1/3? 1/3 What is the biggest value in -2.9, 29, 0, 0.3? 29 What is the third biggest value in -2, -16, -4? -16 What is the third biggest value in -2.1, 6, -2/5, 2/3? -2/5 What is the fourth smallest value in 3/2, -3.95, -1, 1/3? 3/2 What is the biggest value in -0.5, 0.2, -1.5, -2/21, 0.06? 0.2 Which is the second smallest value? (a) 278 (b) 5 (c) 1 b What is the fifth smallest value in -1/6, -0.2, -6, -3, 0.18? 0.18 Which is the biggest value? (a) 4 (b) -166 (c) -3/8 (d) -0.1 (e) 3/2 a Which is the biggest value? (a) 3/5 (b) -39 (c) 0 a Which is the biggest value? (a) 2/13 (b) 0.1 (c) 0.33 c What is the third biggest value in 40, -1/5, 1/4, 21/4? 1/4 Which is the second smallest value? (a) -5 (b) -1/3 (c) 2 (d) -6/11 (e) -1 e What is the second biggest value in 3, 0.4593, -3? 0.4593 Which is the third biggest value? (a) 1.8 (b) -3 (c) -2/7 (d) -1/6 c Which is the fourth biggest value? (a) 2/9 (b) 2/13 (c) 3 (d) -5 (e) -346 d What is the second biggest value in -0.29, -0.3, 2/7? -0.29 What is the fourth biggest value in 2/7, -0.2, -2, 5? -2 What is the smallest value in -1/4, -1, -0.1, -81? -81 Which is the second smallest value? (a) 0.11 (b) 2 (c) 2/5 (d) 9/5 c What is the smallest value in 0.05, 0, -16/3? -16/3 What is the third biggest value in 8, -0.1, 2, 0.3? 0.3 Which is the second smallest value? (a) 0.4 (b) 43 (c) 2 (d) -0.3 (e) -0.2 e Which is the smallest value? (a) 0.1 (b) 3/4 (c) 2/5 (d) -0.05 (e) 5/4 d Which is the biggest value? (a) 0.5 (b) 3 (c) 0 b Which is the third biggest value? (a) 3/2 (b) -18 (c) -4 b What is the fourth smallest value in -1, -3, 3, -91? 3 Which is the fourth biggest value? (a) 3 (b) -66 (c) 9 (d) 0 (e) -1/6 e Which is the fourth biggest value? (a) 0.4 (b) 0.03 (c) 5/4 (d) -9 d Which is the biggest value? (a) -0.4 (b) 3 (c) 325 c Which is the third smallest value? (a) 5 (b) -0.2 (c) -2.1 (d) -0.1 d What is the third biggest value in -1.8, 2, -3/8? -1.8 Which is the second smallest value? (a) -30 (b) -1 (c) -2 (d) -2/7 c What is the third smallest value in -0.31, -0.5, 0.02, 0.1, 4? 0.02 Which is the fourth smallest value? (a) -2/13 (b) -13 (c) 20 (d) -3 (e) 2/15 e Which is the smallest value? (a) -4 (b) 1/5 (c) 2 (d) 5/11 a Which is the fifth biggest value? (a) -5 (b) -14/17 (c) -1/5 (d) -0.1 (e) 0.12 a What is the second biggest value in 4, -1.11, -1/3? -1/3 What is the second biggest value in -0.3, -2490, 0.4? -0.3 What is the fifth smallest value in 5, -4, 2/11, -2/15, 4? 5 What is the biggest value in -5, 1/14, -1.1? 1/14 Which is the smallest value? (a) -4 (b) -2/15 (c) -4/3 (d) 0.4 a Which is the fourth biggest value? (a) -0.4 (b) -5 (c) -15 (d) 0 c Which is the third biggest value? (a) 1896 (b) 0.3 (c) 2 b What is the fourth biggest value in -4, 294, 0, -1/2? -4 What is the smallest value in 12, 2, 1, 6? 1 What is the third smallest value in 0, 2/11, 130? 130 What is the biggest value in -9, 1, 3, 3/4? 3 What is the fourth biggest value in 407, -2/13, -5, -0.1, 4? -2/13 What is the second big
{ "pile_set_name": "DM Mathematics" }
rt(3)/2 Simplify 0 + (-2*sqrt(147) + sqrt(147) - (sqrt(18)/(sqrt(6) + sqrt(96)) - sqrt(3))) + ((sqrt(3)*3 - sqrt(3))*-5 - sqrt(525)/sqrt(7)). -106*sqrt(3)/5 Simplify -6*(sqrt(162) + ((sqrt(162) + 0)*-6 - sqrt(162))) + -5 + 1 + (3*(-1 + sqrt(162) + -1 + (-1 + sqrt(162))*5))**2*-2. -105862 + 13932*sqrt(2) Simplify (5*5*(sqrt(637) - (sqrt(637) + -2)*-2)*-6 + -1 + 0)**2. -3773700*sqrt(13) + 129351301 Simplify (-3*(sqrt(114) - 1*sqrt(114)) - -1*sqrt(114)*3)/(sqrt(150)*-2*6 - sqrt(150)*1*-3). -sqrt(19)/15 Simplify 6*(sqrt(39)/(sqrt(363)*1) - (sqrt(52)/sqrt(4) + -3 + 0)). -60*sqrt(13)/11 + 18 Simplify ((-3*(sqrt(65) + (sqrt(65)*-2 - sqrt(65))))/(3*sqrt(45)))**2 - (3 + (sqrt(143)*-3)/sqrt(11) + sqrt(13) + 3)**2. -740/9 + 24*sqrt(13) Simplify (((3*sqrt(264))/sqrt(11) + sqrt(24))/(3*sqrt(12)*1))**2 - ((sqrt(200) - (sqrt(200)*-2)**2 - sqrt(200)) + 4 + 1 + 0). 7187/9 Simplify (2 + (sqrt(68)/sqrt(64) + (sqrt(425) + sqrt(17))*3 + (-1*(sqrt(153) + 5*sqrt(153)))/sqrt(9))**2)*-2. -40849/8 Simplify -5 + (6*4*-3*sqrt(20) + -5*(sqrt(80)*6 - sqrt(10)/sqrt(50)))**2. 345840 Simplify (4*1*sqrt(144)*2*4)/(2*(-4*(sqrt(96) - (sqrt(96) + (sqrt(96)*-2 - sqrt(96)) - sqrt(96))))/sqrt(8)). -2*sqrt(3) Simplify 0 + (((sqrt(152) + -5*(sqrt(152) - (sqrt(152) - sqrt(152)*-3)))*2)/(sqrt(512)*-3*-1))**2. 304/9 Simplify (-4*(sqrt(22)/(-2*sqrt(99)) - ((sqrt(220) + -3*sqrt(220))/sqrt(11))/sqrt(10)))**2. 968/9 Simplify -1 + 2*(sqrt(5) + -1 + 0 + sqrt(25)/(sqrt(5) - (sqrt(125) + sqrt(5)))) + (sqrt(20)/(sqrt(4)*-1) - 1*(sqrt(5) + 2))**2. 21 + 48*sqrt(5)/5 Simplify ((sqrt(192) - (sqrt(192) + (sqrt(192)*2 - sqrt(192)))*-4)*3*-3)/((sqrt(32)*-1*2)/(sqrt(96)/(sqrt(36)/sqrt(3)))). 162*sqrt(3) Simplify (-1*6*sqrt(156)*1)/(sqrt(300) + -6*sqrt(300)*-1)*1. -6*sqrt(13)/35 Simplify -2*((-4*(sqrt(363) + 1 + 4 + sqrt(363)) - 3*(sqrt(363) + 1)*-5)*-3)**2. -320616 + 13860*sqrt(3) Simplify -6*(((1*-3*sqrt(12)/sqrt(4))**2 + -3)*-4 + 4 + 5*(5 + (-1 + sqrt(3))**2) + -1). 60*sqrt(3) + 288 Simplify ((sqrt(100) + 6*-1*sqrt(100))/(sqrt(10) - (sqrt(10) + sqrt(80)/(sqrt(16)/sqrt(2)))))/((1*sqrt(1134))/(4*sqrt(7)*-1)). -20*sqrt(5)/9 Simplify (sqrt(225)/(sqrt(18)/sqrt(2)) - (sqrt(100) - (sqrt(100)*1 - sqrt(100))))/((2*sqrt(60))/(sqrt(3) - sqrt(9)/(sqrt(12)/sqrt(4)) - sqrt(3) - sqrt(3))). sqrt(5)/2 Simplify (((sqrt(176)*1)/sqrt(4) + sqrt(44) + (sqrt(3564)*2 - sqrt(44)) + (sqrt(88)/sqrt(32) - (-5 + -1*sqrt(44))))*-3)**2. 3645*sqrt(11) + 650439/4 Simplify ((sqrt(140)/((sqrt(96)/sqrt(3))/sqrt(8))*6)/(-1*sqrt(55)/(sqrt(11)*1*4 - sqrt(11))))**2. 2268 Simplify (((sqrt(864) - (sqrt(864) + sqrt(864)*-1 + sqrt(864))) + sqrt(864))*4 - (1*sqrt(864)*5 - sqrt(864)))/(-4*-5*sqrt(288)*2). 0 Simplify (((sqrt(1377)*2)**2 + -1 - (0 + (0 + sqrt(1377) - sqrt(1377)))) + sqrt(17) + sqrt(68)/sqrt(4) + 1 + -3*sqrt(17)*-4)*4 + 3. 56*sqrt(17) + 22035 Simplify (sqrt(700) + 3 + sqrt(700) + 1 - -6*sqrt(700)*-1)**2 + ((sqrt(70) + sqrt(70)*2 + sqrt(70))*-4)/(sqrt(30)/sqrt(48)). -384*sqrt(7) + 11216 Simplify -5 + (-1 + (sqrt(1100) + -2 + -1)**2 + sqrt(1100) - (((3 + sqrt(1100) + -2*sqrt(1100))**2 - sqrt(1100)) + 3)). -9 + 20*sqrt(11) Simplify (-5 + (-5*sqrt(98)*2 + -1)*-5)**2*6 + 4. 1470004 Simplify (-4 + sqrt(405) - (sqrt(35)/sqrt(7) + 0 + 0)**2) + 5. -4 + 9*sqrt(5) Simplify (2*-1*((sqrt(425) - (0 + (sqrt(425) - sqrt(425)*-1))) + (sqrt(425) + sqrt(425) + 1)*5 - (sqrt(425) - (0 + sqrt(425)))*2*3)*-4)**2. 28800*sqrt(17) + 2204800 Simplify -3 + 5*(-3*(sqrt(171) + sqrt(171)*-1) + -1)**2*1*4 + 5. 22 Simplify (1*sqrt(567))**2*-2*2 + (sqrt(70)/sqrt(1000) - -3*sqrt(63)). -2268 + 91*sqrt(7)/10 Simplify ((sqrt(1125)*-4 + sqrt(45))*-1)/(sqrt(45)/((sqrt(110)/sqrt(2))/sqrt(11))). 19*sqrt(5) Simplify 1 + ((sqrt(637) + sqrt(637) + -2*sqrt(637) + sqrt(637) - sqrt(637))*1)**2 + 2 + 2*(-1 + 4*2*sqrt(637))**2. -224*sqrt(13) + 81541 Simplify ((3*sqrt(7)*1 + 1)*-6 + (sqrt(168)/sqrt(4)*-2)/(3*2*sqrt(6)))**2. 220*sqrt(7) + 21499/9 Simplify -5 + (sqrt(2057) + 2 + -5 + sqrt(2057))**2*-6 + 1 + (sqrt(2057) - ((sqrt(2057) - (sqrt(2057) + -2)) + 1)). -49429 + 803*sqrt(17) Simplify -2*(-5*(-4 + (0 + sqrt(2299) + 0)*-1))**2*3. -347250 - 13200*sqrt(19) Simplify (((4*sqrt(240) + sqrt(240))/sqrt(12) - sqrt(20)) + sqrt(20) - sqrt(140)/sqrt(252))/((sqrt(250) - sqrt(250)*-4)*1*-3). -29*sqrt(2)/450 Simplify (-2 + sqrt(512) + 5 + sqrt(512) + 0 - (sqrt(96)*-2*-1)/(sqrt(3) - (2*sqrt(3)*1 + sqrt(3)) - sqrt(3)))**2. 208*sqrt(2) + 21713/9 Simplify (((sqrt(96)*-1*-2)/sqrt(4)*5)/(5*(sqrt(36)/sqrt(3)*4 - (1*sqrt(1728) - sqrt(12)))))**2*4. 32/49 Simplify -1*(-1 + sqrt(500) + -3) - (5 + sqrt(405) + -2 + 3)**2. -437 - 118*sqrt(5) Simplify -2*(-1 + (sqrt(4719)*-1*3)/(-4*sqrt(432)*-1))**2. -1829/128 - 11*sqrt(13)/4 Simplify 5 + ((4 + (4*(sqrt(180) + -1) - (-1*sqrt(180) + 2)) + -5)*-6)**2. -15120*sqrt(5) + 163769 Simplify (((6*sqrt(1260))/(-2*sqrt(847)) + 0)*6)**2*-2 + 1. -116519/121 Simplify ((-6*(sqrt(224) - sqrt(14)))/(2*sqrt(7)*3))**2 - ((2 + 4*sqrt(18))**2 + ((sqrt(128) - (sqrt(128) + 1 + sqrt(128) + sqrt(128))) + -3)**2). -802 - 176*sqrt(2) Simplify ((sqrt(112) + 5)*-2)**2 + (-1 + sqrt(112) + -2 + sqrt(112) + sqrt(112))**2 + 4 + -4. 88*sqrt(7) + 1565 Simplify ((((sqrt(102) + (5*2*sqrt(102) - sqrt(102)) - sqrt(102)) + sqrt(102))/sqrt(6) + 2)**2 - (sqrt(17)*-1 + 4 - sqrt(17) - (0 + sqrt(68)))**2) + -4. 72*sqrt(17) + 1412 Simplify 4 + 5*((sqrt(756)*-1)/(sqrt(1008) + (sqrt(1008)*-1 - sqrt(1008)) + sqrt(1008) + sqrt(1008)) + 0). -5*sqrt(3)/2 + 4 Simplify -5 + (-1*(3*((sqrt(133)*1 + sqrt(133) - sqrt(133)) + sqrt(133)) - sqrt(133)))/(sqrt(14)/(-5*sqrt(10)/sqrt(5)))*6. -5 + 150*sqrt(19) Simplify -5*6*2*-4*(-1*(sqrt(77)*-4 - sqrt(77) - sqrt(77) - sqrt(77)))/(sqrt(11) + sqrt(44)/(sqrt(24)/sqrt(6)) + sqrt(11)). 560*sqrt(7) Simplify ((sqrt(104) + -4*(sqrt(104) - sqrt(104)*-3) - 4*-3*sqrt(104))/(((sqrt(200) - sqrt(200)*-2)*4 + sqrt(200))*-3))**2. 1/325 Simplify ((sqrt(1911) + -3*sqrt(1911) + (sqrt(5616) - (sqrt(5616) + sqrt(5616) + -3*sqrt(5616))))/(sqrt(3) + -2*sqrt(108) + sqrt(108) - sqrt(6)/sqrt(2)*-3))**2. 325 Simplify 2 + ((sqrt(931) + 2 + -3)*6 + (sqrt(931) - (sqrt(931) + 1 + 4)) + sqrt(931) + 1 + sqrt(931) + -3)**2. -1456*sqrt(19) + 59755 Simplify 1 + (sqrt(35) + -2*sqrt(5040))/sqrt(7) + (3*sqrt(220)/sqrt(4))/(1*sqrt(396) + sqrt(396)). -91*sqrt(5)/4 + 1 Simplify ((3*(sqrt(153) + 0 + sqrt(153)))**2 - (sqrt(153) - (sqrt(153) + 1 + 5))) + 2 + ((-3 + 1 + -1 + sqrt(153))*-4)**2 + -2. -288*sqrt(17) + 8106 Simplify -1 + ((-3*(sqrt(2299) + 1*sqrt(2299) + 1) + 2)*-2 + 0)**2. 528*sqrt(19) + 331059 Simplify -3 + (sqrt(1620)*-2*6 - sqrt(1620))/(-2*sqrt(9)*3*3). -3 + 13*sqrt(5)/3 Simplify 1 + ((1 + sqrt(162))*-2 + 5 + -1*sqrt(162) + sqrt(162) - (sqrt(242) + 0 + sqrt(242) + 1 + 2))**2. 3201 Simplify ((4*sqrt(78))/sqrt(6) - sqrt(364)/sqrt(7))**2 + 4*(1 + 2*sqrt(13) + 2). 8*sqrt(13) + 64 Simplify (1 + ((sqrt(84) - (2*sqrt(84) + sqrt(84) - sqrt(84)))*2*4)/(sqrt(84)/(sqrt(21)/sqrt(3)) + (sqrt(12) - sqrt(108)/(sqrt(36)/sqrt(4)))) + -2)**2. 16*sqrt(7) + 449 Simplify (-2*sqrt(189) + sqrt(42)/sqrt(50))/((sqrt(1296)*1)/sqrt(3)) + 4. -29*sqrt(7)/60 + 4 Simplify ((-2*sqrt(162) + sqrt(162))/sqrt(6) + -3)**2 + 4 - (sqrt(324)/((-1*sqrt(84))/sqrt(7)) + -5)**2. -12*sqrt(3) - 12 Simplify -5 + (sqrt(20)/(sqrt(10) - (sqrt(10) - (sqrt(10) + sqrt(10) + sqrt(360)))))**2 + sqrt(14)/sqrt(28) + (1*sqrt(70)/sqrt(5))/(sqrt(35)/(-3*sqrt(5))). -159/32 - 5*sqrt(2)/2 Simplify ((sqrt(33) + -1*sqrt(33)*-1)/(sqrt(27)/(sqrt(36)/sqrt(4))))**2 + (sqrt(110)*3*2)/(sqrt(160)*3). sqrt(11)/2 + 44 Simplify ((sqrt(5929) - (sqrt(5929) + 1*2*sqrt(5929)))*-4)/(sqrt(63)/(-2*sqrt(144))*5). -704*sqrt(7)/5 Simplify 3 + (4 + -3*(sqrt(50) + sqrt(200)/sqrt(4)))**2 - (-4 + -5*sqrt(4)/(2*sqrt(8))). -955*sqrt(2)/4 + 1823 Simplify (1*(sqrt(91) - (-2*(sqrt(91) + 1*sqrt(91) - sqrt(91)) + sqrt(91)))*5)/(sqrt(7) + 3*sqrt(35)/sqrt(5) + 3*sqrt(343)). 2*sqrt(13)/5 Simplify (5*(sqrt(240) - (sqrt(240)*-1 - sqrt(240)) - sqrt(240)))/(-3*sqrt(240)/sqrt(5)) + -2. -10*sqrt(5)/3 - 2 Simplify -3*(((sqrt(91) + 1*sqrt(91) + sqrt(91))*3 + (sqrt(91)*1 - sqrt(91) - sqrt(91))*-5 + sqrt(91))*-6)/(-4*sqrt(1008)*-3*-5). -3*sqrt(13)/8 Simplify 2*(-2 + (6*-1*sqrt(539)*1)**2 + (sqrt(539) + 0)**2 + 0 + -1) + 5. 39885 Simplify (-2*(-1*sqrt(76)*4 + sqrt(76) + (2*sqrt(76) + sqrt(76))*5))/(1*(sqr
{ "pile_set_name": "DM Mathematics" }
qrt(1573) + 2)) + -3*sqrt(1573) + -1. -33*sqrt(13) - 7 Simplify sqrt(35)/(sqrt(25)/sqrt(125)). 5*sqrt(7) Simplify -4 + -2 + -2*(sqrt(1900) + sqrt(1900)*-2). -6 + 20*sqrt(19) Simplify 0 + 3 + sqrt(17) - sqrt(17)*3*-4. 3 + 13*sqrt(17) Simplify ((-3*(sqrt(110)/sqrt(2) + sqrt(55)))/sqrt(5) - (2*sqrt(88))/sqrt(2))**2. 1100 Simplify (6*sqrt(10)/sqrt(2) + (sqrt(125) - (0 + sqrt(125))))**2. 180 Simplify (sqrt(180) + (sqrt(180)*4)**2 - sqrt(5))*-1 + 1. -2879 - 5*sqrt(5) Simplify (-2*sqrt(3600))/(6*sqrt(125)). -4*sqrt(5)/5 Simplify (-3 + 1 + -2*sqrt(208))**2. 32*sqrt(13) + 836 Simplify (3*(sqrt(7) + -1 + 4 - sqrt(7)) + -3)**2*-2. -72 Simplify ((sqrt(3) - (1 + sqrt(3))) + 5)*-3. -12 Simplify (1*sqrt(468)*1)**2. 468 Simplify (1 + sqrt(48))**2*3. 24*sqrt(3) + 147 Simplify 5 + sqrt(171) - (6*sqrt(76)/sqrt(4))**2. -679 + 3*sqrt(19) Simplify sqrt(22)/sqrt(50) - (1 + sqrt(1331) + sqrt(1331))**2. -5325 - 219*sqrt(11)/5 Simplify (sqrt(228) - 2*(2*sqrt(228) + sqrt(228)) - sqrt(228))/(sqrt(108) + sqrt(108)*1 + sqrt(108) + sqrt(108)). -sqrt(19)/2 Simplify -4 + sqrt(9)/sqrt(3) - (sqrt(3) - sqrt(3)*3*1). -4 + 3*sqrt(3) Simplify (2 + sqrt(76))*-3 + 5. -6*sqrt(19) - 1 Simplify (sqrt(48)/sqrt(4)*-2)**2. 48 Simplify (sqrt(3) + sqrt(1080)/sqrt(10))**2 + 5. 152 Simplify (5*6*sqrt(88))/sqrt(8). 30*sqrt(11) Simplify (sqrt(875)*-4)/((sqrt(77)*-4)/sqrt(11)). 5*sqrt(5) Simplify sqrt(637) + -1 + -4 + (sqrt(637) + (-1 + sqrt(637) + 1 - sqrt(637)) + sqrt(637))**2. 7*sqrt(13) + 2543 Simplify sqrt(2) - 4*(4 + sqrt(2) - sqrt(2)) - (sqrt(2) - (4*sqrt(2)*5)**2). 784 Simplify (-5 + 3*(sqrt(396) + -1))**2. -288*sqrt(11) + 3628 Simplify (1*sqrt(25)/sqrt(5)*-4 + 0)**2. 80 Simplify (2*sqrt(1008)*4)**2. 64512 Simplify ((sqrt(20) + (sqrt(20) - sqrt(500)) - sqrt(20))*-5)/(sqrt(80)/(sqrt(40)/sqrt(5))). 20*sqrt(2) Simplify -4 + sqrt(17) + -5 + (sqrt(136)/sqrt(8))**2. sqrt(17) + 8 Simplify ((sqrt(189)*-1 - sqrt(189))/sqrt(3))**2. 252 Simplify 3*(5*sqrt(108) - sqrt(108))*-1. -72*sqrt(3) Simplify (2 + sqrt(18))*-4. -12*sqrt(2) - 8 Simplify 2*sqrt(7) + -2 - (1*sqrt(49) + sqrt(49))/sqrt(7). -2 Simplify 2 + sqrt(1100)*-2 + -5. -20*sqrt(11) - 3 Simplify (sqrt(12) - (-4 + sqrt(12) + 2)) + 0. 2 Simplify (sqrt(2541)*-2)/sqrt(3)*-6. 132*sqrt(7) Simplify ((2*sqrt(128) + 5 - sqrt(128)) + (sqrt(2) - 5*-1*sqrt(2)) + -5)**2. 392 Simplify -3 + (sqrt(1008) + sqrt(1008)*4 + sqrt(1008) - sqrt(1008)). -3 + 60*sqrt(7) Simplify (sqrt(17) + sqrt(17)*2 + 1)*-1. -3*sqrt(17) - 1 Simplify sqrt(1539)*2 + 4. 4 + 18*sqrt(19) Simplify (-6*(-2*sqrt(102) - sqrt(102)))/(-3*sqrt(6)*1). -6*sqrt(17) Simplify -1*(1 + sqrt(7))**2*3 + -1 + sqrt(28)*1. -25 - 4*sqrt(7) Simplify (sqrt(2057) + -1 + sqrt(2057))**2*4 + -1. -176*sqrt(17) + 32915 Simplify 3 + sqrt(7)*-3 - (3 + sqrt(56)/sqrt(8)). -4*sqrt(7) Simplify (-1*-2*(sqrt(19) + sqrt(171))*2)**2. 4864 Simplify -5*((sqrt(300) - 1*sqrt(300) - sqrt(300))**2 - sqrt(3) - -1*sqrt(3)*-6)*2. -3000 + 70*sqrt(3) Simplify -1 + (-2*sqrt(66))/sqrt(6). -2*sqrt(11) - 1 Simplify (sqrt(1300) + 2 + -1*sqrt(1300))**2 + 6*(0 + sqrt(1300)) + -4. 60*sqrt(13) Simplify (-1*sqrt(1728) + sqrt(1728))/sqrt(9). 0 Simplify ((sqrt(2057)*-2 + sqrt(2057))**2 + sqrt(2057))*-6. -12342 - 66*sqrt(17) Simplify (sqrt(66)/(sqrt(18)/sqrt(3)) + sqrt(11) - (sqrt(66)/(sqrt(6) - (sqrt(6) + sqrt(48)/sqrt(8))) + sqrt(11)))**2. 44 Simplify (sqrt(500)*1 - (sqrt(5) - (-1 + sqrt(5))*-2)**2)*6. -294 + 132*sqrt(5) Simplify 3*(sqrt(5) + 0)**2*6. 90 Simplify (-5*(2 + sqrt(252)))**2. 600*sqrt(7) + 6400 Simplify 2 + ((-1*sqrt(13))**2 - sqrt(13)) + sqrt(13) + (sqrt(117) + sqrt(117)*2)/sqrt(9). 3*sqrt(13) + 15 Simplify (sqrt(16) - sqrt(256))/(-2*sqrt(4)/sqrt(2)) + 3. 3 + 3*sqrt(2) Simplify ((2*sqrt(35))/sqrt(5) + -4*(-2*sqrt(7) - sqrt(7)))**2*2. 2744 Simplify (4*(sqrt(99) - sqrt(11) - sqrt(11) - sqrt(11)))**2 + sqrt(176)/sqrt(4). 2*sqrt(11) Simplify (sqrt(143) - (sqrt(143) + -4*(sqrt(143) + (sqrt(143) - ((1*sqrt(143) - sqrt(143)) + sqrt(143) - sqrt(143))))))/(sqrt(704)*1)*-6. -6*sqrt(13) Simplify 1*(sqrt(5) - sqrt(20)/(sqrt(4) + sqrt(100) + sqrt(4)))**2. 180/49 Simplify 4*(1*sqrt(612))**2. 2448 Simplify 1*(1*sqrt(11) + sqrt(11)) + -2. -2 + 2*sqrt(11) Simplify ((sqrt(420)*2 - sqrt(420) - sqrt(420))/sqrt(7))/sqrt(12). 0 Simplify 5*(-2 + (sqrt(208) - (sqrt(208) + 0)) + sqrt(208) + sqrt(208))**2*3. -480*sqrt(13) + 12540 Simplify (5*(1*sqrt(45) - (-1 + sqrt(5))*-3))**2. -900*sqrt(5) + 4725 Simplify (1 + sqrt(17))**2*-2 + -4. -40 - 4*sqrt(17) Simplify sqrt(12)/(sqrt(400) + (sqrt(400)*-2 - sqrt(400)) + sqrt(400)). -sqrt(3)/10 Simplify -6*sqrt(95)/sqrt(45)*4. -8*sqrt(19) Simplify (sqrt(24)/sqrt(200))**2 + -1. -22/25 Simplify 4*(sqrt(19)*-4 + -5). -16*sqrt(19) - 20 Simplify sqrt(76)/((sqrt(28)*-1)/sqrt(7)). -sqrt(19) Simplify 0 + ((sqrt(704) + 0)**2 - sqrt(704)) + sqrt(704) + sqrt(704). 8*sqrt(11) + 704 Simplify ((sqrt(130) + ((6*2*sqrt(130) - sqrt(130)) + sqrt(130) - sqrt(130)) + sqrt(130))/(sqrt(30)/sqrt(3)*-3))**2. 2197/9 Simplify (4 + 2*sqrt(19) + 0 + 3)**2. 28*sqrt(19) + 125 Simplify (-1*sqrt(130)*2)/(sqrt(60)/(sqrt(24)/sqrt(4))) + -5. -2*sqrt(13) - 5 Simplify sqrt(175)*1*4. 20*sqrt(7) Simplify 3*(-5 + sqrt(99)*-2)**2. 180*sqrt(11) + 1263 Simplify sqrt(25)/(sqrt(180)*1). sqrt(5)/6 Simplify ((sqrt(132)*2 + sqrt(132) - sqrt(132))/sqrt(12) - (sqrt(11) + sqrt(396)/sqrt(4)))**2. 44 Simplify 4 + sqrt(14)/sqrt(63). sqrt(2)/3 + 4 Simplify -5*(-5*(-2 + sqrt(3)) + sqrt(12)*4). -50 - 15*sqrt(3) Simplify (3 + -1 + sqrt(847))**2 + -5. 44*sqrt(7) + 846 Simplify 4 + (sqrt(162) - (sqrt(162) + (sqrt(162) - (sqrt(162) + -1 - sqrt(162)))**2)) - (5 + (sqrt(36)/sqrt(3) - sqrt(12))/sqrt(6)). -164 - 18*sqrt(2) Simplify -1 + sqrt(833) + 3 + sqrt(833). 2 + 14*sqrt(17) Simplify (3*sqrt(72)/sqrt(4))/((sqrt(45)/sqrt(5) - sqrt(9) - sqrt(9))*-1). 3*sqrt(2) Simplify (-3*(sqrt(102) - (3*sqrt(102) - sqrt(102))) - sqrt(102))/(-6*sqrt(12)/sqrt(2)). -sqrt(17)/3 Simplify sqrt(152)/(sqrt(800) + sqrt(800)*2 + sqrt(800)). sqrt(19)/40 Simplify ((sqrt(4)/sqrt(2)*4)**2 + -3)*6. 174 Simplify 3 + -1 + sqrt(891) - (((0 + (sqrt(891) - -1*sqrt(891)) + sqrt(891) - sqrt(891)) + sqrt(891))**2 - sqrt(891)). -8017 + 18*sqrt(11) Simplify -2*(sqrt(19) - sqrt(190)/(-1*sqrt(10)))**2. -152 Simplify (sqrt(245) + (sqrt(245) + -2)**2)*5. -105*sqrt(5) + 1245 Simplify -2 + (-2*-5*-1*sqrt(468))**2. 46798 Simplify (sqrt(539) + (sqrt(539) + (sqrt(539) + sqrt(539) + 2 + 4 - sqrt(539)) - sqrt(539)))**2. 168*sqrt(11) + 2192 Simplify sqrt(1872) - (sqrt(1872) + (sqrt(1872) - (-2 + sqrt(1872) + -2)))**2. -1888 - 84*sqrt(13) Simplify 2 + (sqrt(2057) + sqrt(2057) + sqrt(2057)*1 + sqrt(2057))**2 + -4. 32910 Simplify (sqrt(1331) - sqrt(1331)*2)**2 + (4*sqrt(77) + sqrt(77) + sqrt(77))/sqrt(7). 6*sqrt(11) + 1331 Simplify (2 + (sqrt(4)/sqrt(2)*-3 - sqrt(32)/sqrt(4)))**2. -20*sqrt(2) + 54 Simplify ((sqrt(1584) - -1*sqrt(1584)) + 2 + (sqrt(11)*3)**2)*-3. -303 - 72*sqrt(11) Simplify (-2*(sqrt(80)/sqrt(5))/sqrt(8))**2. 8 Simplify (-4 + -2*-3*(sqrt(7)*-2 + sqrt(7)))**2. 48*sqrt(7) + 268 Simplify sqrt(33)/(sqrt(363) + sqrt(363) + sqrt(363)*-2 - sqrt(3)). -sqrt(11) Simplify (0 + sqrt(2) + -5 + sqrt(242)*-2)**2. 210*sqrt(2) + 907 Simplify (3*(sqrt(17) + sqrt(17) + sqrt(833)) - sqrt(2057)*4)**2. 4913 Simplify (1 + sqrt(1053) + 4 + 5*(sqrt(1053) + 1))**2. 1080*sqrt(13) + 38008 Simplify (2*(sqrt(13) + 4) + sqrt(13) - (sqrt(13) + -6*(3 + sqrt(13))))**2. 416*sqrt(13) + 1508 Simplify (sqrt(325) + -1 + -3)**2 + sqrt(325) + (sqrt(325)*-2 + sqrt(325))*1. -40*sqrt(13) + 341 Simplify (-4*1*sqrt(24))/sqrt(12). -4*sqrt(2) Simplify (sqrt(130) + -4*(sqrt(130)*2 - sqrt(130)) - sqrt(130))/sqrt(160). -sqrt(13) Simplify sqrt(3) - ((sqrt(18)/(sqrt(6)*2 - sqrt(6)))**2 - sqrt(3)) - (sqrt(99)/sqrt(3))/sqrt(11). -3 + sqrt(3) Simplify (sqrt(14) - ((sqrt(84)*2)/sqrt(6) - sqrt(14)))/((sqrt(22)*2)/sqrt(11)). 0 Simplify sqrt(936)/sqrt(2) - ((sqrt(104) + 2*sqrt(104) + sqrt(104))/sqrt(8))**2. -208 + 6*sqrt(13) Simplify sqrt(65)/((sqrt(60)/sqrt(4))/sqrt(3)). sqrt(13) Simplify (3*3*(sqrt(200) + 0 + -5))**2. -8100*sqrt(2) + 18225 Simplify ((sqrt(18) + sqrt(18)*-1)*1)/sqrt(6). 0 Simplify ((sqrt(833) + (sqrt(833)*-1 - sqrt(833)))*-1)**2. 833 Simplify (((sqrt(1584)*-2 - sqrt(1584))*-5)**2 - sqrt(1584)) + 2. -12*sqrt(11) + 356402 Simplify (2 + sqrt(15)/sqrt(3) - sqrt(
{ "pile_set_name": "DM Mathematics" }
757 to the power of 1/7, to the nearest integer? 3 What is 10098 to the power of 1/2, to the nearest integer? 100 What is the ninth root of 88385 to the nearest integer? 4 What is the third root of 4128 to the nearest integer? 16 What is 46931 to the power of 1/2, to the nearest integer? 217 What is the square root of 1343 to the nearest integer? 37 What is the square root of 35008 to the nearest integer? 187 What is the third root of 231 to the nearest integer? 6 What is the third root of 1858 to the nearest integer? 12 What is 353 to the power of 1/4, to the nearest integer? 4 What is the square root of 326 to the nearest integer? 18 What is the third root of 7467 to the nearest integer? 20 What is 3252 to the power of 1/2, to the nearest integer? 57 What is the third root of 1161 to the nearest integer? 11 What is the seventh root of 1155 to the nearest integer? 3 What is the cube root of 101129 to the nearest integer? 47 What is 264 to the power of 1/10, to the nearest integer? 2 What is 20492 to the power of 1/3, to the nearest integer? 27 What is the fifth root of 5550 to the nearest integer? 6 What is the third root of 33468 to the nearest integer? 32 What is the square root of 22977 to the nearest integer? 152 What is the third root of 1551 to the nearest integer? 12 What is the ninth root of 52193 to the nearest integer? 3 What is 51530 to the power of 1/4, to the nearest integer? 15 What is the cube root of 35835 to the nearest integer? 33 What is the sixth root of 36930 to the nearest integer? 6 What is the sixth root of 6935 to the nearest integer? 4 What is the ninth root of 47796 to the nearest integer? 3 What is 1841 to the power of 1/4, to the nearest integer? 7 What is the ninth root of 1712 to the nearest integer? 2 What is the third root of 353 to the nearest integer? 7 What is 37692 to the power of 1/2, to the nearest integer? 194 What is the sixth root of 796 to the nearest integer? 3 What is 6588 to the power of 1/5, to the nearest integer? 6 What is the third root of 9760 to the nearest integer? 21 What is the fifth root of 8655 to the nearest integer? 6 What is the square root of 268 to the nearest integer? 16 What is the cube root of 11338 to the nearest integer? 22 What is the cube root of 19251 to the nearest integer? 27 What is 928 to the power of 1/5, to the nearest integer? 4 What is the cube root of 92381 to the nearest integer? 45 What is the square root of 1950 to the nearest integer? 44 What is the third root of 1843 to the nearest integer? 12 What is 920 to the power of 1/2, to the nearest integer? 30 What is 7488 to the power of 1/2, to the nearest integer? 87 What is the cube root of 85479 to the nearest integer? 44 What is the cube root of 1417 to the nearest integer? 11 What is 1110 to the power of 1/2, to the nearest integer? 33 What is 10603 to the power of 1/9, to the nearest integer? 3 What is the cube root of 11758 to the nearest integer? 23 What is 40362 to the power of 1/2, to the nearest integer? 201 What is the tenth root of 519 to the nearest integer? 2 What is the square root of 64308 to the nearest integer? 254 What is the square root of 13497 to the nearest integer? 116 What is the cube root of 77956 to the nearest integer? 43 What is 1385 to the power of 1/10, to the nearest integer? 2 What is the eighth root of 31696 to the nearest integer? 4 What is the eighth root of 20182 to the nearest integer? 3 What is the square root of 2749 to the nearest integer? 52 What is 777 to the power of 1/5, to the nearest integer? 4 What is 62945 to the power of 1/5, to the nearest integer? 9 What is the ninth root of 11974 to the nearest integer? 3 What is 1484 to the power of 1/3, to the nearest integer? 11 What is the square root of 132 to the nearest integer? 11 What is the square root of 176243 to the nearest integer? 420 What is 2999 to the power of 1/2, to the nearest integer? 55 What is the square root of 86249 to the nearest integer? 294 What is the seventh root of 127491 to the nearest integer? 5 What is the square root of 21967 to the nearest integer? 148 What is 362 to the power of 1/9, to the nearest integer? 2 What is the third root of 1584 to the nearest integer? 12 What is 15067 to the power of 1/2, to the nearest integer? 123 What is the third root of 2241 to the nearest integer? 13 What is the fifth root of 1297 to the nearest integer? 4 What is 313 to the power of 1/2, to the nearest integer? 18 What is 8798 to the power of 1/7, to the nearest integer? 4 What is the square root of 15304 to the nearest integer? 124 What is the cube root of 6759 to the nearest integer? 19 What is the eighth root of 38 to the nearest integer? 2 What is the third root of 1841 to the nearest integer? 12 What is the cube root of 11863 to the nearest integer? 23 What is the cube root of 46091 to the nearest integer? 36 What is 8805 to the power of 1/2, to the nearest integer? 94 What is the cube root of 10955 to the nearest integer? 22 What is the third root of 1542 to the nearest integer? 12 What is 3242 to the power of 1/2, to the nearest integer? 57 What is 2211 to the power of 1/3, to the nearest integer? 13 What is the square root of 2122 to the nearest integer? 46 What is the sixth root of 772 to the nearest integer? 3 What is the square root of 27255 to the nearest integer? 165 What is 10970 to the power of 1/4, to the nearest integer? 10 What is the square root of 136099 to the nearest integer? 369 What is the cube root of 17 to the nearest integer? 3 What is 30676 to the power of 1/2, to the nearest integer? 175 What is 536 to the power of 1/8, to the nearest integer? 2 What is the square root of 31364 to the nearest integer? 177 What is the tenth root of 37905 to the nearest integer? 3 What is the fifth root of 462 to the nearest integer? 3 What is 95291 to the power of 1/2, to the nearest integer? 309 What is the cube root of 269 to the nearest integer? 6 What is the third root of 2217 to the nearest integer? 13 What is 1027 to the power of 1/2, to the nearest integer? 32 What is the third root of 67065 to the nearest integer? 41 What is 16289 to the power of 1/3, to the nearest integer? 25 What is the square root of 29649 to the nearest integer? 172 What is 53471 to the power of 1/3, to the nearest integer? 38 What is the sixth root of 48584 to the nearest integer? 6 What is the cube root of 52365 to the nearest integer? 37 What is 26288 to the power of 1/2, to the nearest integer? 162 What is 394 to the power of 1/8, to the nearest integer? 2 What is the third root of 58929 to the nearest integer? 39 What is the fifth root of 2204 to the nearest integer? 5 What is the cube root of 731 to the nearest integer? 9 What is the square root of 1731 to the nearest integer? 42 What is the tenth root of 2110 to the nearest integer? 2 What is the cube root of 2101 to the nearest integer? 13 What is 240 to the power of 1/8, to the nearest integer? 2 What is 11824 to the power of 1/7, to the nearest integer? 4 What is 3922 to the power of 1/2, to the nearest integer? 63 What is the cube root of 33415 to the nearest integer? 32 What is 6732 to the power of 1/6, to the nearest integer? 4 What is the sixth root of 6529 to the nearest integer? 4 What is the eighth root of 711 to the nearest integer? 2 What is 27289 to the power of 1/9, to the nearest integer? 3 What is the square root of 7 to the nearest integer? 3 What is the square root of 1546 to the nearest integer? 39 What is the cube root of 2285 to the nearest integer? 13 What is 5902 to the power of 1/3, to the nearest integer? 18 What is 5475 to the power of 1/3, to the nearest integer? 18 What is 25031 to the power of 1/3, to the nearest integer? 29 What is the cube root of 55532 to the nearest integer? 38 What is 2622 to the power of 1/3, to the nearest integer? 14 What is 3921 to the power of 1/2, to the nearest integer? 63 What is 15813 to the power of 1/5, to the nearest integer? 7 What is the tenth root of 67961 to the nearest integer? 3 What is the square root of 16183 to the nearest integer? 127 What is the seventh root of 7076 to the nearest integer? 4 What is the sixth root of 2155 to the nearest integer? 4 What is the eighth root of 14781 t
{ "pile_set_name": "DM Mathematics" }
t(12)) + sqrt(3) + 0 + -1 + (sqrt(108)*1)**2). 2*sqrt(3) + 209 Simplify sqrt(2736) + 3 + -1*(sqrt(19) + 1)**2 + ((sqrt(19) - sqrt(95)/(sqrt(5) - (sqrt(5) + sqrt(5)*-3))) + -1)*-4. -13 + 22*sqrt(19)/3 Simplify (-4*(-2 + sqrt(539) + 0)*6)**2 - (6*(4*sqrt(22)/sqrt(2) + sqrt(11) + 3 + 5))**2. -19008*sqrt(11) + 300564 Simplify -5*(sqrt(72)*-1 - sqrt(2))*6*6 + (1*sqrt(4)*-1)/(-1*sqrt(6)/sqrt(3) - sqrt(2)). 2521*sqrt(2)/2 Simplify 0 + (3 + (sqrt(1300) + (sqrt(1300)*4*3 - sqrt(1300)) - sqrt(1300) - sqrt(1300)) + 3)*-5*4*-1. 120 + 2000*sqrt(13) Simplify 3*-1*(0 + (-4*3*sqrt(208)*1 + (4*sqrt(208)*1 - (sqrt(208) + 1 + sqrt(208) + -3)))**2). -62412 + 480*sqrt(13) Simplify (4*(sqrt(224) + ((sqrt(224) - (sqrt(224) - -2*sqrt(224)))*2 - sqrt(224)))/((-5*sqrt(7)*-1 - sqrt(7)) + sqrt(7)))**2 + 0. 8192/25 Simplify 6*(((sqrt(72)*-2 + 4)*-5 - (sqrt(72) + sqrt(72) + sqrt(72)*1 + sqrt(72) + sqrt(72) + -3 + 2)) + 2)**2. -6120*sqrt(2) + 12534 Simplify (-4*(2*sqrt(1274) - sqrt(1274)) + sqrt(1274) + 1*(1*sqrt(1274) - sqrt(1274)))/(4*((sqrt(2) - sqrt(2)*1)*-6 - (sqrt(98)*-1 - sqrt(98)))). -3*sqrt(13)/8 Simplify ((sqrt(343) + -1 - ((sqrt(84)*4)/sqrt(12) + sqrt(7))) + (-6*(sqrt(196) + sqrt(49)) + sqrt(49))/(sqrt(7)*1*-5))**2. -54*sqrt(7)/5 + 5128/25 Simplify (2 + -3 + sqrt(108))**2*-3 - (4 + ((sqrt(3) - (sqrt(3) + 2))*-2 - (sqrt(3)*-2 + 2))**2). -347 + 28*sqrt(3) Simplify ((1*sqrt(396))/(1*sqrt(16)) - (sqrt(1331)*-1*-1 - (sqrt(1331) - (sqrt(1331) - (sqrt(1331) + ((sqrt(1331) + 0)*5 - sqrt(1331)))))**2)) + -3. -19*sqrt(11)/2 + 33272 Simplify ((-2*(1*sqrt(336)*1 - sqrt(336)))/(-5*sqrt(36)/(sqrt(144)/sqrt(48)))*-5)**2. 0 Simplify (3*5*-2*sqrt(68))/((sqrt(100)*1 - sqrt(4)) + sqrt(4) + (1*sqrt(144) - sqrt(144))) + -1. -6*sqrt(17) - 1 Simplify ((-2 + sqrt(833) + -2 + -4 - -4*(-1 + -2*sqrt(833))) + 4)*-4. 32 + 196*sqrt(17) Simplify (3 + (1*((sqrt(39) - sqrt(156)/sqrt(4)) + sqrt(39)) - 2*sqrt(3159))/(sqrt(3) + 4*(-2*sqrt(3) - sqrt(3)) - -2*sqrt(108)))**2. -102*sqrt(13) + 3766 Simplify -2*(3*(sqrt(170) + (-4*(sqrt(170) + sqrt(170)*1 + sqrt(170)) - sqrt(170)) + sqrt(170))*4)/((-2*sqrt(60)*1)/(sqrt(864)*-1)). 1584*sqrt(17) Simplify (3*(sqrt(1280) + sqrt(1280)*6))/(-4*sqrt(16)/sqrt(4) - sqrt(20)/sqrt(125))*4. -160*sqrt(5) Simplify (-4 + (-6*(4 + sqrt(832)*-1*-4 + -2 + sqrt(832)*-2 + 1))**2)*-6. -720768 - 20736*sqrt(13) Simplify (2*sqrt(150) - sqrt(150))/sqrt(3) + 3 + -5 + (sqrt(400) - -4*(sqrt(400) + sqrt(400)*-1))/(sqrt(288)*-2). -2 + 55*sqrt(2)/12 Simplify ((-1 + -1*sqrt(99))*-2 - (sqrt(1584) - (2 + sqrt(1584)*1 - sqrt(1584))))**2 + -5. -48*sqrt(11) + 407 Simplify (-3 + 2 + (sqrt(275)*-2)**2*-2)*3*-3 + -2. 19807 Simplify 0 + (1 + sqrt(343) - sqrt(343) - (sqrt(567) + -1)**2 - (sqrt(56)/(sqrt(8)*-3) + (sqrt(21)/sqrt(3) + 2)**2))*3. -1734 + 43*sqrt(7) Simplify (5 + sqrt(117)/sqrt(9) + 5 + 4*sqrt(13))**2 + (2 + sqrt(117) + sqrt(13) - ((-1*sqrt(104) + sqrt(104))/sqrt(8))**2). 104*sqrt(13) + 427 Simplify (-2*sqrt(84)*3*1)/(sqrt(108)/sqrt(144) + (sqrt(12) - (sqrt(300) - 2*sqrt(300)))) + -2. -24*sqrt(7)/25 - 2 Simplify 5*(4 + -5*sqrt(108) - sqrt(108) - (0 + -2*sqrt(300))). -80*sqrt(3) + 20 Simplify (-2*-2*((sqrt(133) - -1*sqrt(133)*-6) + sqrt(133) + sqrt(133)))/((sqrt(448)*6)/((sqrt(40)*1)/sqrt(10))). -sqrt(19)/2 Simplify (3*((-2 + sqrt(468) + 0 + (3 + sqrt(468))*1)*-4 + 4 + -3))**2. 2592*sqrt(13) + 269649 Simplify (2*sqrt(351) + (sqrt(195)*2)/sqrt(5))/(3*sqrt(30)/sqrt(10)*-4). -2*sqrt(13)/3 Simplify (sqrt(1300) + 1 + -4)*-5 + -3 + (-4*-3*(-1 + -1*sqrt(637)))**2. 1966*sqrt(13) + 91884 Simplify ((sqrt(196) + sqrt(196) + (-3*sqrt(196) - sqrt(196)) + sqrt(196))/sqrt(7)*4 + (-1*sqrt(196))/sqrt(7) + sqrt(28) + sqrt(28) + 2*sqrt(252) + 5)**2. 60*sqrt(7) + 277 Simplify ((-5 + (((-1*sqrt(288) - sqrt(288) - sqrt(288)) + -2)*5 - -1*(2*sqrt(288) + -5)))*-5)**2. 156000*sqrt(2) + 1226800 Simplify ((-1 + -4 + -1 + (0 + sqrt(72) + 1*sqrt(72) - (sqrt(72) + (1*sqrt(72) - sqrt(72)) + 1)))*-1)**2. -84*sqrt(2) + 121 Simplify ((sqrt(108)*-2*2 + sqrt(108))*5 + sqrt(120)/(sqrt(160)*3) + 1)**2. -539*sqrt(3)/3 + 290533/12 Simplify (5*(sqrt(1053) - (sqrt(1053) - 1*sqrt(1053))**2) - (-3 + sqrt(1053))*2) + (-1*((-2 + sqrt(1053))*3 + sqrt(1053) + 2*sqrt(1053)*3))**2. -1053*sqrt(13) + 105342 Simplify 3*(5 + (-4*(sqrt(1539) - (-2 + sqrt(1539) + -4 - sqrt(1539)) - (sqrt(1539) - (sqrt(1539) - -2*sqrt(1539)*1))))**2). 15552*sqrt(19) + 666591 Simplify -1*(1 + ((sqrt(114)*1)/sqrt(6) + -5*sqrt(19)*-2 - (-1*(sqrt(171))**2 + sqrt(19) - (sqrt(19) + sqrt(2736)*-1)))). -172 + sqrt(19) Simplify (4 + sqrt(11) + (sqrt(88) - sqrt(88)*-2)/sqrt(8) + 6*sqrt(176) - ((sqrt(66) - sqrt(66)*1)*-6)/sqrt(1350))*3. 12 + 84*sqrt(11) Simplify (sqrt(448) - (sqrt(448) - (-3 + 4 + sqrt(448))) - (0 + sqrt(448))*-3)**2 - ((-2 + sqrt(448))**2 + 2 + 3)*1. 96*sqrt(7) + 6712 Simplify ((sqrt(66) + -2*sqrt(66)*2)/(sqrt(48)*-5))/((sqrt(50) + (sqrt(50) - (sqrt(2450) - 1*sqrt(2450))) + sqrt(50))*-6). -sqrt(11)/600 Simplify 2*(-2*(sqrt(77)/sqrt(112)*4)**2 - (2*sqrt(99)*1 - (1*sqrt(99) + -2 + sqrt(99)))**2). -52 Simplify 6*((-5*1*sqrt(110) - sqrt(110)) + sqrt(110) + -6*1*sqrt(110))/(((sqrt(490) - (sqrt(490) - 3*sqrt(490)) - sqrt(490)) + sqrt(10))*-3)*-5. -22*sqrt(11)/3 Simplify 4 + (-5*((sqrt(33) + sqrt(165)/sqrt(5)*-3)/(sqrt(24)/sqrt(8)*-1) + 3) + -2)**2. 340*sqrt(11) + 1393 Simplify (-2*sqrt(2736)*2*-3)**2 - (-2 + 2*sqrt(57)/sqrt(3)*-1). 2*sqrt(19) + 393986 Simplify (-5*(sqrt(243)/(sqrt(18)/sqrt(2)) - sqrt(27))/sqrt(3))/((sqrt(75) + sqrt(3))*4 + sqrt(27)/sqrt(36)). 0 Simplify (((sqrt(170) - 1*sqrt(170))*2)/(sqrt(40) + sqrt(200)/sqrt(5)))**2 + (sqrt(17)*-2 + 1 + 3 + 1 + sqrt(17) + sqrt(17) + 1)**2. 36 Simplify (sqrt(19) + -4 + 2)**2 + 4 + -2*sqrt(19) + sqrt(57)/(sqrt(15)/sqrt(80))*5. 27 + 14*sqrt(19) Simplify -5*6*(3*((1 + sqrt(1872))**2 + -4) + -3)*-2. 4320*sqrt(13) + 336240 Simplify (2 + ((6*((sqrt(156) - -3*sqrt(156)) + sqrt(156)))/sqrt(12))**2 + sqrt(26)/(sqrt(8)/sqrt(4))*-2 + -5)*-4. -46788 + 8*sqrt(13) Simplify -2 + (1*((sqrt(243) - (2 + sqrt(243))) + sqrt(243) + -1) + (sqrt(243) - (sqrt(243) + -2*sqrt(243) + -1) - ((sqrt(243) + 1)*-1 - sqrt(243))))**2. -90*sqrt(3) + 6074 Simplify (3*(-1*2*sqrt(396) - (sqrt(396) + (sqrt(396)*-1*1 - sqrt(396)) + sqrt(396)))/(sqrt(81)/(sqrt(441)*3)))**2. 698544 Simplify 4*(1*(sqrt(180)*-3 + sqrt(180) - (4 + sqrt(1125))))**2 + 3. 864*sqrt(5) + 14647 Simplify sqrt(216)/(sqrt(300) + sqrt(12))*4 + (sqrt(72)*1 - sqrt(2))*-2*-3. 32*sqrt(2) Simplify -5*(sqrt(66) + (sqrt(66) - (-3*sqrt(66) + sqrt(66)))*-2 + (sqrt(66) - (sqrt(66) + (sqrt(66) - sqrt(66)*-1*-3))))/((2*sqrt(864) + sqrt(864))*1*-2). -5*sqrt(11)/24 Simplify 3 + 5 + -4*((sqrt(22) - (sqrt(550)*1 + sqrt(22)))/sqrt(11) - (sqrt(72) + sqrt(72) + 0 + 4 - sqrt(72))**2). 212*sqrt(2) + 360 Simplify 4*1*(-5*(-2*sqrt(176) - sqrt(176))**2*-2 - (4 + 6*sqrt(176)*1)**2). -768*sqrt(11) + 37952 Simplify -2 + ((sqrt(304)*2*-2)/((sqrt(128)/sqrt(4))/sqrt(4)))/(sqrt(2) + (sqrt(18) - (sqrt(648) - sqrt(18))) + (sqrt(2) - (sqrt(2) - 1*sqrt(2)*-2))). -2 + 4*sqrt(19)/13 Simplify ((sqrt(11)*1*-6)**2 + sqrt(11)*-1*2 + 5 + ((sqrt(220)/sqrt(4)*-2)/sqrt(5))**2)*-6. -2670 + 12*sqrt(11) Simplify (2*(sqrt(972) - -3*sqrt(972)*1))/(-5*(-3*sqrt(294) + sqrt(6))*-3). -6*sqrt(2)/25 Simplify -3*(sqrt(70)/sqrt(1210) + (-2*(sqrt(7) - (4 + sqrt(7))) - sqrt(7) - sqrt(7))**2 - (sqrt(504)/sqrt(8) - -6*sqrt(28))). -276 + 1548*sqrt(7)/11 Simplify ((-5*5*-4*sqrt(70))/(-5*(sqrt(640) + sqrt(640) + -3*sqrt(640))))**2*-6. -525/2 Simplify (sqrt(2) - sqrt(24)/sqrt(3))**2 + 1 + 0 + (sqrt(4)/(sqrt(18)*1 + sqrt(2)) + -4)**2 + 4. -2*sqrt(2) + 185/8 Simplify 6*(((((sqrt(187) + 1*sqrt(187))*-2)/(sqrt(396)/sqrt(4)) + 1)*-2)**2 + -3). -64*sqrt(17) + 2194/3 Simplify (-2*(sqrt(143) + sqrt(143) + sqrt(143)*3)*4*-3)/(sqrt(891) - -2*2*sqrt(891) - ((((2*sqrt(891) - sqrt(891)) + sqrt(891))*-4 - sqrt(891)) + sqrt(891))). 40*sqrt(13)/39 Simplify (-1*sqrt(104)*3 + sqrt(104) + 5*sqrt(104)*4)/((-5*-2*sqrt(96))/(sqrt(192)/sqrt(4))). 18*sqrt(13)/5 Simplify (-2*-2*sqrt(288))**2 + 5 + -3 + (sqrt(288)*-2 + 2 + sqrt(288) - sqrt(288)) + 1*(1*sqrt(288))**2 + -3. -24*sqrt(2) + 4897 Simplify (4*(2*sqrt(1872)*-1 - (sqrt(1872) + 0 + sqrt(1872))*-3) + (sqrt(1872) + 1*1*sqrt(1872) - 3*(-2 + sqrt(1872) + sqrt(1872))) + 3)**2. 2592*sqrt(13) + 269649 Simplify
{ "pile_set_name": "DM Mathematics" }
**2 + 319*y + 953*y. -3*y*(y - 8)*(y + 53) Suppose 43 + 5 = 16*s. Suppose 4*k**4 - 5*k**s - k**3 + 12*k - 3*k**3 - 3*k**3 - 4*k**2 = 0. What is k? -1, 0, 1, 3 Let t(a) be the second derivative of 1/22*a**4 - 6/11*a**2 + 3/110*a**5 + 0 - 1/165*a**6 - 4*a - 7/33*a**3. Let t(w) = 0. Calculate w. -1, 2, 3 Suppose 372*f = 164*f - 651*f + 3436. What is y in -8/5*y**3 + 0 + 0*y**2 + 0*y + 28/5*y**f = 0? 0, 2/7 Let i(z) be the second derivative of 1/42*z**7 + 44*z - 1/15*z**6 + 0 + 0*z**2 + 0*z**3 - 1/20*z**5 + 1/6*z**4. Suppose i(x) = 0. Calculate x. -1, 0, 1, 2 Suppose 2*p + r - 5 = 3*p, -2*r - 2 = 4*p. Let n be 8*(p + (-25)/(-10)). Suppose 3*c**2 + n*c**2 - 8*c**2 - 3 + 4*c - 1 = 0. What is c? 2 Factor 2*a**3 - 547437 - 364*a - 186*a**2 + 547437 - 4*a**3. -2*a*(a + 2)*(a + 91) Let l = 63 + -59. Factor -9*w**2 + 0*w**3 + 12*w**3 + 9*w**2 + l*w**4 + 8*w**2. 4*w**2*(w + 1)*(w + 2) Let b(m) be the third derivative of -2*m**7/105 - 77*m**6/30 - 481*m**5/5 + 507*m**4/2 - 2950*m**2. Determine s so that b(s) = 0. -39, 0, 1 Let y be (-968)/6*3/(-2). Let q be (-42 + (-10582)/(-259))/(9*1/(-7)). Factor 88/3*k + q + y*k**2. 2*(33*k + 2)**2/9 Let i = 97 - 56. Let o = 47 - i. Suppose 8*p - 2*p**4 + 4*p**4 - o*p**3 - 8*p = 0. Calculate p. 0, 3 Suppose 0 = 15*i - 47*i + 96 - 29 - 3. Factor 0 - 27*k**3 - 4/3*k - 12*k**i. -k*(9*k + 2)**2/3 Let n(r) be the third derivative of 9*r**6/100 + 109*r**5/150 + 28*r**4/15 + 4*r**3/15 - 5420*r**2. Factor n(k). 2*(k + 2)**2*(27*k + 1)/5 Let u(w) be the first derivative of -w**5/10 + 43*w**4/8 + 11*w**3 + w**2/2 - 6*w - 69. Let c(a) be the second derivative of u(a). Determine r so that c(r) = 0. -1/2, 22 Suppose -70*y = 25*y + 10*y - 210. Let c(f) be the third derivative of 1/540*f**6 - 2/27*f**3 + 5/108*f**4 + 16*f**y + 0 - 2/135*f**5 + 0*f. Factor c(k). 2*(k - 2)*(k - 1)**2/9 Suppose 4*g = 4*o + o - 432, 5*g = 3*o - 267. Let k = o + -80. Factor -15*r**3 + 85*r**4 + 20*r**2 - 46*r**4 - 49*r**k + 5*r**5 + 20*r. 5*r*(r - 2)**2*(r + 1)**2 Let x(s) = 7*s**2 - 337*s + 324. Let b(j) = -8*j**2 + 338*j - 321. Let u be (3 + 85/(-25))/(3/15). Let c(i) = u*b(i) - 3*x(i). Factor c(m). -5*(m - 66)*(m - 1) Determine p, given that 1870*p - 34969/2*p**2 - 50 = 0. 10/187 Let h(b) be the third derivative of b**5/78 + 413*b**4/156 - 166*b**3/39 - b**2 - 584. Factor h(s). 2*(s + 83)*(5*s - 2)/13 Let d(i) be the second derivative of -i**7/3780 - 19*i**6/1080 - i**5/10 + 5*i**4 - 12*i - 1. Let k(n) be the third derivative of d(n). Let k(u) = 0. What is u? -18, -1 Let h = 41371 + -41371. Let p(x) be the third derivative of 1/8*x**4 - 1/5*x**6 - 9/140*x**7 + h*x**3 + 0 - 1/8*x**5 + 0*x - 51*x**2. Solve p(q) = 0. -1, 0, 2/9 Let y be (-35 - -54) + 942/(-50). Let p(x) be the first derivative of y*x**5 + 2/5*x**4 + 0*x**2 - 36 + 0*x + 0*x**3. Factor p(z). 4*z**3*(z + 2)/5 Factor -4805*m**2 - 1015*m**2 - 16 + 1082*m**2 + 993*m**2 - 2891*m**2 - 4448*m. -4*(3*m + 2)*(553*m + 2) Determine h, given that 45/8*h**4 - h + 25/8*h**5 - 9/2*h**2 - 13/4*h**3 + 0 = 0. -2, -2/5, 0, 1 Suppose -27 = -3*n, -5*n + 41 = -146*s + 144*s. Factor -128/3 - 1/6*h**3 - 11/2*h**s - 48*h. -(h + 1)*(h + 16)**2/6 Let m(z) = 9*z**2 + 18*z + 36. Let j(x) be the first derivative of x**3/3 - x**2/2 - 93. Let b(a) = 6*j(a) - m(a). Solve b(f) = 0. -6, -2 Let p(h) be the second derivative of -h**6/30 - 77*h**5/100 + 9*h**4/4 - 19*h**3/30 - 17*h**2/5 - 815*h. Determine u so that p(u) = 0. -17, -2/5, 1 Suppose 0 = -40*p - 21*p. Let t(x) be the first derivative of 0*x + 2/3*x**3 + x**4 + 2/5*x**5 - 14 + p*x**2. Suppose t(j) = 0. What is j? -1, 0 Let g(z) = -8*z**5 - 384*z**4 - 376*z**3 + 12*z**2 - 12*z + 12. Let j(r) = -r**5 + r**3 + r**2 - r + 1. Let t(k) = g(k) - 12*j(k). Factor t(d). 4*d**3*(d - 97)*(d + 1) Let w be (-714)/(-204)*-2*(-4)/14. Determine s so that 8843 + 18*s**w - 5*s**3 - 7505 + 637*s**2 - 21120*s - 23118 = 0. -1, 66 Let l = 4119328/369677 + -10/52811. Factor 8/7 - l*y + 19/7*y**2. (y - 4)*(19*y - 2)/7 Suppose -316*k + 2183 - 1551 = 0. Solve -13/4*a**k + 1/4*a**3 + 35/4*a + 49/4 = 0. -1, 7 Let c(z) be the first derivative of z**6/72 + z**5/3 - 73*z**3 + 46. Let t(j) be the third derivative of c(j). What is r in t(r) = 0? -8, 0 Factor 0*r**3 + 621*r - 23976 + 23031 - r**3 - 99*r**2. -(r - 3)**2*(r + 105) Suppose -31*w = -35*w - 2 + 1 + 1, -3*l = -3*w. Let g(a) = a + 8. Let q be g(-4). Factor 2/5*x**3 + l*x + 0*x**2 + 0 + 2/5*x**q. 2*x**3*(x + 1)/5 Let p(k) be the first derivative of -2*k**3/9 - 183*k**2 - 1181. Solve p(o) = 0 for o. -549, 0 Let z(d) be the second derivative of -d**5/25 - 16*d**4/5 + 66*d**3/5 - 20*d**2 - 921*d. Suppose z(k) = 0. Calculate k. -50, 1 Let c(x) be the second derivative of 0*x**3 + 10*x + 0*x**2 + 0*x**4 + 2/35*x**5 + 4/105*x**6 + 1/147*x**7 + 0. Factor c(t). 2*t**3*(t + 2)**2/7 Let f(t) be the third derivative of 1/2688*t**8 - 1/192*t**4 + 0*t**3 + 0 + 0*t**6 + 10*t**2 + 1/840*t**7 - 1/240*t**5 + 4*t. Factor f(h). h*(h - 1)*(h + 1)**3/8 Let a(z) be the first derivative of -1/3*z**3 - 1/4*z**4 + z**2 + 0*z + 64. Factor a(c). -c*(c - 1)*(c + 2) Let h(z) be the first derivative of 88/3*z**3 + 46*z**2 + 24*z - 81 + 5*z**4. Factor h(q). 4*(q + 1)*(q + 3)*(5*q + 2) Let o(b) be the third derivative of -b**8/112 + 17*b**7/35 - 5*b**6 + 151*b**5/10 - 135*b**4/8 + 781*b**2. Let o(k) = 0. Calculate k. 0, 1, 5, 27 Let q be 28/49 + (-1251)/(-1008). Let y = 49/16 - q. Factor -5/2 + y*s + 5/4*s**2. 5*(s - 1)*(s + 2)/4 Suppose 9 = -2*a - l, 4*l + 36 = -2*a - 0*l. Factor 22/5*k + a + 2/5*k**2. 2*k*(k + 11)/5 Let a(q) be the first derivative of 5*q**4/4 + 6*q**3 + 15*q**2 + 11*q + 73. Let v(m) = -4*m**3 - 18*m**2 - 30*m - 12. Let t(n) = -4*a(n) - 6*v(n). Factor t(x). 4*(x + 1)**2*(x + 7) Let c be ((-6)/(-45))/(250/1075). Let u = c + -28/75. Find w, given that -8/5*w + 3/5*w**4 + u*w**5 + 0 - 2/5*w**3 - 12/5*w**2 = 0. -2, -1, 0, 2 Let u be 1*3/1 + (-9)/45. Let a = 3/274 + 539/822. Factor u*x - 10/3*x**3 + 6/5 - a*x**2. -2*(x - 1)*(5*x + 3)**2/15 Let d(a) be the second derivative of -a**7/252 - 7*a**6/30 - 191*a**5/120 - 109*a**4/36 + 13*a**3/3 + 74*a**2/3 + 2755*a - 1. Factor d(v). -(v - 1)*(v + 2)**3*(v + 37)/6 Factor -2*f - 585/2*f**3 + 0 + 66*f**2 + 350*f**4. f*(5*f - 2)**2*(28*f - 1)/2 Let d(o) be the second derivative of -o**4/30 - 37*o**3/15 - 14*o**2 + 564*o - 1. Factor d(k). -2*(k + 2)*(k + 35)/5 Let i(n) = n**2 + 22*n + 66. Let f be i(-3). Let j be 7/3 - 15/f. What is c in 0*c + 0 - j*c**3 - 2/3*c**2 + 2/3*c**5 + 2/3*c**4 = 0? -1, 0, 1 Let w(n) be the first derivative of -2*n**7/105 + n**6/30 + 2*n**5/15 - 111*n**2 - 192. Let l(p) be the second derivative of w(p). Find d such that l(d) = 0. -1, 0, 2 Let o(i) be the first derivative of i**5 + 35*i**4 - 105*i**3 - 225*i**2 - 1529. Factor o(q). 5*q*(q - 3)*(q + 1)*(q + 30) Let f = -436 + 439. Suppose j = -5, -4*m - 3 = 4*j + 5. Determine w, given that -6*w**3 - 21*w**2 - 36 + f*w**3 + 0*w**m - 48*w = 0. -3, -2 Solve -109*l**2 - 75*l**2 + 356*l - 363 + 6*l**3 - 2*l**3 + 187 = 0 for l. 1, 44 Let z = 180 - 193. Let b be 63/(-13) + -6 + (-2 - z). Find t such that -4/13*t**3 + 0 - b*t**2 + 4/13*t + 2/13*t**4 = 0. -1, 0, 1, 2 Let d(l) be the first derivative of 1/5*l**5 - 24*l - 5/3*l**4 + 2/15*l**6 + 28 + 0*l**2 + 2*l**3. Let m(r) be the first derivative of d(r). Factor m(a). 4*a*(a - 1)**2*(a + 3) Solve 4/9*k**2 - 182/9 - 545/9*k + 1/3*k**3 = 0. -14, -1/3, 13 Suppose -2521*c + 447*c - 3243*c = -21268. Let 3/7*t**c + 2523/7 - 180/7*t**3 - 5220/7*t + 2874/7*t**2 = 0. Calculate t. 1, 29 Let a(t) be the third derivative of -8/5*t**3 + 0*t - 209*t**2 - 7/9*t**4 + 0 - 41/225*t**5 - 13/900*t**6 + 1/1575*t**7. Let a(k) = 0. What is k? -2, -1, 18 Find r such that -25/4*r**2 + 7 - 11*r**3 - 3/4*r**4 + 11*r = 0. -14, -1, -2/3, 1 Let j(g) be the third derivative of 6859/72*g**3 + 19/240*g**5 + 0 - 100*g**2 + 0*g - 361/96*g**4 - 1/1440*g**6. Factor j(w). -(w - 19)**3/12 Let i(f) be the first derivative of -4*f**5/5 + 39*f**4 + 164*f**3 + 250*f**2 + 168*f + 619. Let i(d) = 0. What is d? -1, 42 Let a(d) be the third derivative of -d**6/30 + 142*d**5 - 252050*d**4 + 715822000*d**3/3 - 2*d**2 - 1389*d. Factor a(l). -4*(l - 710)**3 Let v be 1*109 + (44/4 - 10). Let t be 4 + v/35 + -3 + -4. Find n, given that -t*n**2 - 3/7 + 4/
{ "pile_set_name": "DM Mathematics" }
e remainder when 784 is divided by 62? 40 What is the remainder when 1400 is divided by 108? 104 What is the remainder when 60 is divided by 23? 14 Calculate the remainder when 414 is divided by 20. 14 Calculate the remainder when 399 is divided by 5. 4 What is the remainder when 75 is divided by 11? 9 Calculate the remainder when 2547 is divided by 88. 83 What is the remainder when 4470 is divided by 743? 12 What is the remainder when 71 is divided by 6? 5 What is the remainder when 1975 is divided by 977? 21 What is the remainder when 2208 is divided by 2156? 52 What is the remainder when 353 is divided by 176? 1 Calculate the remainder when 1007 is divided by 164. 23 Calculate the remainder when 3174 is divided by 1052. 18 Calculate the remainder when 2483 is divided by 54. 53 Calculate the remainder when 106 is divided by 57. 49 What is the remainder when 957 is divided by 15? 12 What is the remainder when 251 is divided by 36? 35 What is the remainder when 2104 is divided by 49? 46 Calculate the remainder when 3091 is divided by 72. 67 Calculate the remainder when 4068 is divided by 13. 12 Calculate the remainder when 87 is divided by 20. 7 What is the remainder when 473 is divided by 48? 41 Calculate the remainder when 165 is divided by 46. 27 Calculate the remainder when 152 is divided by 51. 50 Calculate the remainder when 5034 is divided by 48. 42 What is the remainder when 311 is divided by 28? 3 What is the remainder when 56 is divided by 16? 8 What is the remainder when 2545 is divided by 71? 60 Calculate the remainder when 145 is divided by 106. 39 Calculate the remainder when 126 is divided by 43. 40 What is the remainder when 387 is divided by 219? 168 What is the remainder when 493 is divided by 55? 53 Calculate the remainder when 705 is divided by 118. 115 What is the remainder when 1769 is divided by 104? 1 What is the remainder when 1787 is divided by 259? 233 Calculate the remainder when 453 is divided by 12. 9 What is the remainder when 4407 is divided by 32? 23 What is the remainder when 180 is divided by 15? 0 Calculate the remainder when 34 is divided by 19. 15 What is the remainder when 1177 is divided by 59? 56 What is the remainder when 3052 is divided by 13? 10 Calculate the remainder when 3273 is divided by 18. 15 What is the remainder when 167 is divided by 57? 53 What is the remainder when 27718 is divided by 99? 97 Calculate the remainder when 137 is divided by 23. 22 Calculate the remainder when 25037 is divided by 39. 38 What is the remainder when 33 is divided by 20? 13 What is the remainder when 667 is divided by 96? 91 What is the remainder when 64 is divided by 6? 4 Calculate the remainder when 239 is divided by 2. 1 What is the remainder when 405 is divided by 338? 67 Calculate the remainder when 25 is divided by 7. 4 What is the remainder when 1362 is divided by 84? 18 What is the remainder when 12462 is divided by 103? 102 Calculate the remainder when 890 is divided by 108. 26 What is the remainder when 109 is divided by 23? 17 Calculate the remainder when 91 is divided by 80. 11 Calculate the remainder when 136 is divided by 67. 2 Calculate the remainder when 198 is divided by 50. 48 Calculate the remainder when 291 is divided by 73. 72 Calculate the remainder when 4255 is divided by 104. 95 What is the remainder when 64 is divided by 27? 10 Calculate the remainder when 469 is divided by 2. 1 What is the remainder when 337 is divided by 277? 60 What is the remainder when 151 is divided by 9? 7 Calculate the remainder when 660 is divided by 17. 14 What is the remainder when 136 is divided by 40? 16 Calculate the remainder when 48 is divided by 44. 4 What is the remainder when 146 is divided by 31? 22 What is the remainder when 1483 is divided by 53? 52 Calculate the remainder when 530 is divided by 185. 160 Calculate the remainder when 369 is divided by 39. 18 What is the remainder when 614 is divided by 28? 26 Calculate the remainder when 62 is divided by 20. 2 Calculate the remainder when 154 is divided by 18. 10 Calculate the remainder when 593 is divided by 54. 53 What is the remainder when 126 is divided by 64? 62 Calculate the remainder when 140 is divided by 48. 44 What is the remainder when 18 is divided by 6? 0 Calculate the remainder when 234 is divided by 36. 18 What is the remainder when 202 is divided by 31? 16 What is the remainder when 3283 is divided by 41? 3 Calculate the remainder when 15119 is divided by 5036. 11 What is the remainder when 1143 is divided by 62? 27 What is the remainder when 45 is divided by 23? 22 Calculate the remainder when 136 is divided by 112. 24 Calculate the remainder when 35 is divided by 3. 2 Calculate the remainder when 45 is divided by 17. 11 Calculate the remainder when 338 is divided by 54. 14 Calculate the remainder when 226 is divided by 46. 42 What is the remainder when 422 is divided by 112? 86 Calculate the remainder when 59 is divided by 30. 29 Calculate the remainder when 672 is divided by 352. 320 What is the remainder when 426 is divided by 54? 48 Calculate the remainder when 190 is divided by 39. 34 Calculate the remainder when 817 is divided by 332. 153 Calculate the remainder when 138 is divided by 4. 2 Calculate the remainder when 1049 is divided by 331. 56 What is the remainder when 1131 is divided by 50? 31 What is the remainder when 1328 is divided by 648? 32 What is the remainder when 158 is divided by 54? 50 Calculate the remainder when 1177 is divided by 74. 67 What is the remainder when 2094 is divided by 60? 54 What is the remainder when 75 is divided by 10? 5 Calculate the remainder when 57 is divided by 27. 3 What is the remainder when 164 is divided by 11? 10 Calculate the remainder when 81 is divided by 63. 18 Calculate the remainder when 101 is divided by 51. 50 What is the remainder when 110 is divided by 36? 2 What is the remainder when 1365 is divided by 123? 12 Calculate the remainder when 1488 is divided by 50. 38 What is the remainder when 510 is divided by 68? 34 Calculate the remainder when 808 is divided by 74. 68 What is the remainder when 329 is divided by 33? 32 What is the remainder when 1053 is divided by 17? 16 What is the remainder when 1205 is divided by 17? 15 Calculate the remainder when 43 is divided by 17. 9 What is the remainder when 4226 is divided by 282? 278 Calculate the remainder when 1963 is divided by 152. 139 Calculate the remainder when 1665 is divided by 166. 5 Calculate the remainder when 178 is divided by 19. 7 Calculate the remainder when 642 is divided by 89. 19 Calculate the remainder when 845 is divided by 214. 203 Calculate the remainder when 181 is divided by 22. 5 Calculate the remainder when 931 is divided by 117. 112 What is the remainder when 39 is divided by 6? 3 What is the remainder when 763 is divided by 270? 223 Calculate the remainder when 972 is divided by 485. 2 Calculate the remainder when 592 is divided by 66. 64 What is the remainder when 8898 is divided by 25? 23 Calculate the remainder when 317 is divided by 36. 29 What is the remainder when 95 is divided by 72? 23 Calculate the remainder when 1198 is divided by 200. 198 Calculate the remainder when 946 is divided by 12. 10 Calculate the remainder when 368 is divided by 54. 44 Calculate the remainder when 235 is divided by 126. 109 What is the remainder when 1531 is divided by 118? 115 What is the remainder when 2342 is divided by 56? 46 Calculate the remainder when 117 is divided by 45. 27 What is the remainder when 486 is divided by 171? 144 Calculate the remainder when 133 is divided by 40. 13 Calculate the remainder when 736 is divided by 367. 2 What is the remainder when 205 is divided by 50? 5 Calculate the remainder when 102 is divided by 86. 16 What is the remainder when 290 is divided by 87? 29 Calculate the remainder when 9475 is divided by 13. 11 What is the remainder when 3726 is divided by 33? 30 What is the remainder when 127 is divided by 40? 7 Calculate the remainder when 57 is divided by 14. 1 What is the remainder when 77 is divided by 39? 38 What is the remainder when 181 is divided by 9? 1 Calculate the remainder when 1109 is divided by 90. 29 What is the remainder when 4705 is divided by 2350? 5 W
{ "pile_set_name": "DM Mathematics" }
mposite number? False Let j(m) be the second derivative of -33*m**3 + 6*m**2 - 11*m. Let b be j(-4). Let y = b - 473. Is y prime? True Suppose 22*d = 21*d - 13. Let z be 2/d + 84/39. Suppose 3*n - 3 = 9, 224 = z*f + 3*n. Is f a composite number? True Let a(k) = -40 - 14*k - 8*k - 17*k. Let u(b) = b**3 - 10*b**2 - 37*b + 137. Let d be u(12). Is a(d) a composite number? False Let t(a) = 2*a**2 + 4*a - 10. Let j be t(-3). Is -1*(545388/(-36) + j/(-6)) prime? True Let t be 7 - 1/(3/(-12)). Let l(m) = 842*m + 15. Is l(t) prime? True Suppose 2*o - 2 = -2*b, 3*o + 6*b = 7*b - 9. Is o - (-5 + 1360)/(-5) prime? True Let h(g) = -2*g + 38. Let y be h(19). Is (y - -2)*(-446)/(-4) a prime number? True Let t = 258 - 251. Suppose 0 = t*l - 2*l + 4*i - 9843, -5*l - 2*i + 9839 = 0. Is l a composite number? True Let d = -60 - 122. Let z = d + 272. Is (-12)/z - (-3347)/15 a prime number? True Let i(t) = -t**3 - 13*t**2 + 16. Let w be i(-13). Suppose 2*n - 50 = -w. Let x(l) = 2*l**2 + 7*l + 22. Is x(n) prime? True Suppose 2*b + 51 = 3*b - 5*x, -2*b - 4*x = -102. Let c = -49 + b. Suppose -a + 4888 = 5*m, -4*a = -m - c*m + 2919. Is m a prime number? True Let o = 19640 - -12287. Is o composite? True Suppose 4*t - 20 = 0, 136*r - 3*t + 1864803 = 140*r. Is r composite? True Let q = 16 - 14. Suppose 0 = q*a + 4, -3*r + 2*a = -2*a - 29. Suppose 3*j - r*j + 767 = 3*t, -t - 3*j = -264. Is t a prime number? False Let i(p) = -62*p**3 - 17*p**2 + 97*p + 5. Is i(-14) prime? True Let g(t) = 217*t + 263. Is g(50) a prime number? True Let o be ((-8)/200*-5)/(2/230990). Suppose 5*l - o = 14946. Is l a composite number? True Let d be (-1 - -28)/(1 - 215/200). Let l = d - -2279. Is l composite? True Let b be 25*-14*(-288)/60. Suppose 0 = 7*d - b - 8799. Is d composite? True Suppose 126*v + 636801 - 6359213 = 1624522. Is v composite? False Let o be (-161)/2*((1 - -3) + -210). Suppose -o = -8*w + 21009. Is w composite? True Suppose 0 = -2*a - 5*d + 19098, 15*a + 28665 = 18*a + 3*d. Let j = a + -5756. Is j a prime number? True Let c(i) = 496*i**2 + 51*i + 21. Is c(12) prime? False Let g(i) be the first derivative of -414*i**2 - 49*i - 102. Is g(-5) a composite number? False Suppose 0 = 5*k + 17 + 3. Let i(x) = -7*x**3 + 3*x**2 - 9*x - 12. Let w be i(k). Let h = w - 101. Is h composite? False Let p(j) = 7*j + 158. Let o be p(-22). Suppose -2*r + 2*i + 1134 = 122, 5*r - 2*i - 2518 = 0. Suppose r = m + d + d, 3*m - 1506 = o*d. Is m prime? False Let b be (10/(-18) + 1)/(52/234). Is (b/(-15) - (-141)/45) + 5504 a prime number? True Suppose -5 = 5*s - 3*i - 23, -4*s + 16 = -4*i. Suppose -s*d - 4*g + 93 = 0, -3*g + 62 = 2*d + 2*g. Suppose -3*p = 0, b - 2*p - d = 148. Is b a prime number? True Let c = -100 + 100. Let g be c - ((-116)/(-6) - (-14)/21). Is (g/8)/(5/(-710)) prime? False Suppose 39*m + 1360339 = 5376052. Is m composite? False Suppose 306 = w - 18*w. Is (-8 - 207/w)*4678 prime? False Let t(y) = -15*y**2 - 5*y - 4. Let r = -9 + 13. Let u be t(r). Is 2/(-2) - (u - -12) a prime number? True Let t(l) = 1130*l**3 + 3*l**2 - 4*l - 15. Is t(4) a prime number? True Suppose 86315 = 5*l - 3*j - 109, -2*l = -3*j - 34566. Let d = 1231 + l. Is d a prime number? True Let m = -7048 - -17036. Suppose -434*q + 438*q - m = 0. Is q a composite number? True Suppose -4*k - 4*k + 8 = 0. Let u(z) = 2776*z**3 - 5*z**2 + 2. Is u(k) prime? False Let z(a) = 173*a**2 + 3*a - 33. Let d(t) = -87*t**2 - 2*t + 16. Suppose -6 = 5*h - 7*h. Let v(r) = h*z(r) + 5*d(r). Is v(6) composite? False Let s(x) = -x + 10. Let o be s(13). Let q be ((12/(-15))/1)/(o/(-45)). Let p(v) = 6*v**2 + 27*v - 7. Is p(q) prime? False Let b = 27228 + -14514. Suppose 2*x = -2*q + b, -x - 2154 = 5*q - 33947. Is q prime? True Let k(z) = -81*z + 19. Let g(c) = -243*c + 57. Let b = -40 + 37. Let y(s) = b*g(s) + 8*k(s). Is y(12) composite? False Let n = 124 + -300. Let b be (-4 + 0)/(-8)*n. Let r = -55 - b. Is r prime? False Suppose -39*j + 17364886 = -1562801 - 688260. Is j prime? True Suppose 3*i = -3*v + 67761, -9*i + 5*i = 2*v - 90348. Is i prime? False Let f(z) = 1106*z**2 + 160*z + 3. Is f(-6) a composite number? True Let q(j) be the third derivative of -29*j**4/12 + 5*j**3/6 - 2*j**2 + 9*j. Is q(-12) prime? True Suppose -217*i = -172*i - 8333695 - 38969450. Is i a composite number? False Let t(o) = -2*o**3 - 6*o**2 - 21*o - 187. Is t(-24) a composite number? False Suppose 0 = 5*h + 4*z - 9*z - 7429445, 0 = -4*h - 2*z + 5943556. Is h a composite number? False Is (151 + -147)/(8/422258) prime? True Let s(g) = g**2 + 9*g + 5. Let i be s(-4). Let h be (-48120)/27 - 74/(-333). Is i/(-60) + h/(-8) composite? False Let k(y) be the second derivative of 56*y**4/3 + 5*y**2/2 + 25*y. Is k(3) a prime number? False Suppose -15*m = -5*x + 31525, -5*x + 31493 = -0*m + m. Is x a prime number? True Suppose 0 = 358*j - 4049670 - 27587793 - 29018119. Is j prime? False Let h(x) = -x**2 - 11*x + 4. Let a be h(-11). Let q(z) = -z**3 + 3*z**2 + 3*z + 7. Let m be q(a). Suppose 1712 - 101 = m*d. Is d a prime number? False Let b = 1820 + -736. Suppose -3*n + 4*x + 3309 = 0, n + 2*x - b = -3*x. Is n prime? False Suppose 5*y + 0*t = -2*t + 179595, -t = 2*y - 71838. Suppose -5*k - 4*h + y = 0, 7 + 9 = -4*h. Is k composite? False Suppose 0 = p - 4*s - 9076, 2*p - 27201 = -p + 3*s. Suppose -4*u = 0, 0 = -g - 2*u - 1613 + p. Is g a prime number? True Let s be 116/(-12) - 2/6. Suppose 0*n + 4*n - 6658 = -3*v, 2*n - 5*v = 3342. Is n + s + (1 - 0) composite? False Let j = 514 + -510. Suppose -j*n - 18493 = -3*k, 3*k + 1898 = n + 20388. Is k composite? False Let h(w) = 822*w**2 - w - 14. Let o be h(4). Suppose -o = -8*i + 1274. Is i composite? False Let r(c) be the first derivative of -2*c + 4*c**3 - 7*c + 2*c**3 - 11 - 2*c**2 + 5. Is r(4) prime? True Let p be (12/20)/(-1*1/(-10)). Suppose 0 = p*t + 11*t - 256241. Is t a prime number? True Let d = 114 + -205. Suppose -11*y - 1404 = 15*y. Let m = y - d. Is m a composite number? False Suppose d - 3*o + 145 = -0*d, 0 = 3*d - o + 459. Let a = d + 294. Is (-14)/(-4)*a - 1 a prime number? False Let b = 24890 - -5409. Is b a composite number? True Suppose -16 = -11*j - 38. Let l be ((-2)/(-6))/(j/(-30)). Suppose -4*s + 766 = 2*p - p, 372 = 2*s - l*p. Is s a composite number? False Let g(k) = -2*k - 8*k**3 + 12*k**2 + 10*k**3 + 2*k**3 - 11 - 3*k**3 - 11*k. Is g(-10) a prime number? False Suppose -714*g = -713*g - 7, -k + 69855 = 2*g. Is k a composite number? True Let s = 98 + -96. Suppose -1825 = s*n - 10383. Is n prime? False Is (-14)/((-504)/115604)*9 a prime number? True Let w(p) = -2*p - 31. Let l be w(-17). Let i be -2 + (-9)/(-6)*4/l. Suppose -14*u + 9*u + 3155 = i. Is u prime? True Suppose -19*p + 25*p = 54. Is (-1266)/p*6/(-4) a composite number? False Suppose -66*k + 654343 + 159545 = 21426. Is k a prime number? True Suppose 0 = -j - 2*p + 389203, -1798*j + 1799*j - 389187 = -4*p. Is j prime? True Let d be 2226 + 21/14*(-2)/(-1). Let q be 4/6 + 10986/(-9). Let t = d + q. Is t a prime number? True Let h = 1 - 1. Let x(t) = 51*t**2 + 63*t - 460. Let b be x(6). Suppose f - 3*f + b = h. Is f a composite number? False Let n be -14 + (18/(-15))/((-4)/(-10)). Let x(a) = 13 + a**2 - 24*a - 5 - 2*a**2. Is x(n) a prime number? True Let r = 48 - 46. Suppose 0 = -r*n + 2 + 4. Suppose n*q - 4550 = 649. Is q a composite number? False Let m(u) = -368*u - 108. Let y be m(9). Let k = 7981 + y. Is k composite? False Suppose 21 = 2*k + 15. Is (k/7 - 75030/(-7)) + -2 composite? True Let b = 147664 - 67643. Is b a composite number? False Let l = -793 + 795. Suppose 0 = -4*v - 3*u + 23, v + 5*u = 6*v + 15. Is 287/(3 - v) + 0/l a prime number? False Let m = -274660 - -386781. Is m a prime number? True Is 33/(-3) + 1159255 + -45 composite? False Let b(l) = -l**3 - 3*l**2 + l. Let r be b(-2). Let i be (-18)/2 + -12*(-8)/32. Is i + 2 + (-5 - r) - -676 a prime number? True Let j(x) be the first derivative of 70*x**3 + 8*x**2 + 5*x + 25. Is j(-3) prime? True Let q(a) = -2*a**3 + 32*a**2 + 34*a + 2. Let o be q(17). Suppose -4*t + 1435 = 3*c - 2556, -t - 2679 = -o*c. Is c composite? True Let h = 7806 + -1609. Let f = h + -4398. Is f a prime number? False Let y(x) = 7100*x**2 + 120*x - 359. Is y(3) composite? False Let u be (-144)/15 + 14/(-35).
{ "pile_set_name": "DM Mathematics" }
*k + 5*y = -z*k - 26, -4*y + 78 = 3*k. Is k prime? False Let o be (-6)/(-15) - (-92)/20. Suppose o*n - 143 - 932 = 0. Is n a prime number? False Let b(g) = g**3 + 12*g**2 - 33. Is b(-8) composite? False Let r be 7 + (-1 - 1/1). Suppose -5*m + x = -746, 3*x + 152 = -4*m + r*m. Is m prime? True Let q(m) = -m**2 + 4*m + 5. Let g be q(4). Suppose 3*a + 73 = 3*f - a, -118 = -3*f - g*a. Is f a prime number? True Suppose -4*m + 5*m - 403 = 0. Is m composite? True Let l = 242 + -173. Is l a prime number? False Let p = -2 + 4. Suppose 24 = 2*k + p*k. Is k a composite number? True Is (78/12 + 5)*118 a composite number? True Let s(g) = 6*g**3 - 4*g**2 + 1. Let h(v) = v**3 - 7*v**2 + 6*v + 1. Let x be h(6). Suppose 4*t - 28 = -3*n - n, 4*t = 5*n + x. Is s(n) composite? False Suppose 16 = 2*y - 4. Suppose -5*p - 4*l = -111, p = -p + l + 34. Let z = p - y. Is z a composite number? True Let g = 28 - 20. Suppose 5*v - 12 - g = 0. Is v prime? False Suppose 2*f + 4*y - 452 = 198, 995 = 3*f + 2*y. Is f a prime number? False Let o = -10 + 12. Suppose -3*l + o*l = -33. Is l prime? False Let w(i) = 6*i - 1. Let g(y) = 17*y - 3. Let u(h) = 3*g(h) - 8*w(h). Let q be u(9). Let f = q - 1. Is f a prime number? False Let y be (-1 - -1)/(-2 - -1). Let m be 118/(-3)*(-30)/4. Suppose 6*f - f - m = y. Is f composite? False Suppose -30 = -4*u - u. Let a(p) = 3*p + 3. Is a(u) a composite number? True Let n be (-3)/18*2*3. Let p = n + 4. Suppose g - 89 = -0*g + 4*d, -491 = -5*g - p*d. Is g a prime number? True Is (-174)/(-8) - (-3)/(-4) prime? False Let p(t) = -2*t + t**2 - t**2 - t**2. Let y be p(-4). Let a = y - -18. Is a composite? True Suppose -4*h + 104 = -116. Is h prime? False Suppose -g = -86 - 95. Suppose -3*t + g = -4*d, 0 = -d - 3*d - 4. Is t prime? True Let i(u) = 17*u**2 + 4*u + 3. Suppose -m - 7 = 2*q - 15, 2*m - 3*q = 2. Is i(m) a composite number? True Let v(o) = 13*o**2 + 11 + o**2 - 12 + 16*o**2. Is v(-2) composite? True Let n be (-2 + 4)/(10/5). Let b(l) = 20*l**3 - l**2 - l + 1. Is b(n) prime? True Let s(t) = -t**3 - 4*t**2 + 5*t - 4. Is s(-6) prime? False Let x be 13/(-3) + (-7)/(-21). Is 36 + (-3)/(x - -1) a composite number? False Let x(i) = i**3 - i**2 - 6*i - 3. Is x(8) composite? False Let x = 6600 + -2441. Is x composite? False Suppose 3*u + 88 = -863. Let i = -204 - u. Is i composite? False Suppose o + 5*o - 21348 = 0. Suppose -z + 1784 = z - 3*c, 4*z - o = c. Is z prime? False Let a(m) = m**2 + m + 11. Is a(12) a composite number? False Let s(w) = -23*w**3 + 2*w**2 - 2*w + 4. Is s(-3) a composite number? True Suppose 4445 = -3*z + 6*z + 2*j, -3*z + 2*j = -4441. Is z composite? False Suppose -3*g + 271 = -560. Is g composite? False Let u = 412 + -125. Suppose 5*m + 420 = 2*k + 3*k, 4*m - u = -3*k. Is k composite? False Let j(q) = 47*q + 5. Is j(6) a composite number? True Suppose -2*s = s - 192. Suppose 0 = -4*x + s + 72. Is x a prime number? False Is (3107/4)/(28/(-16) - -2) prime? False Let y be 8/5*(-10)/(-4). Suppose 0 = -y*l + 5*a + 149, 3*l - a = -5*a + 73. Suppose 0*q + q - l = 0. Is q composite? False Let s(j) = j - 22. Let x be s(0). Let k be x/(-10) + (-1)/5. Suppose 4*f - 91 = -3*c - k*c, -2*f = 3*c - 53. Is c a composite number? True Suppose 0 = 3*v - 37 - 26. Is v prime? False Let y(q) = q**3 + 3*q**2 - 5*q - 1. Let v be y(-4). Suppose -6 + 0 = -v*s. Is s a composite number? False Suppose -2*f + 0*f = -2*s - 116, -46 = -f + 5*s. Suppose -5*b = 3*n - 955, -b + 130 = -5*n - f. Is b prime? True Let x be 3/(18/4)*3. Is 3/((6/67)/x) a prime number? True Let q(r) = -22*r. Let f(k) = 11*k. Let d(x) = -11*f(x) - 6*q(x). Let p be d(2). Let z = p + -11. Is z a composite number? False Let b(o) = -462*o + 41. Is b(-4) a prime number? True Let h(p) = -44*p - 3. Is h(-2) composite? True Let d = -1193 + 3696. Is d a prime number? True Let q(x) = x**3 - 2*x**2 - 3*x - 5. Is q(5) prime? False Suppose -2*b - b = -6. Suppose 3*z - 665 = -b*z. Is z a composite number? True Suppose 4*g - 6 = 6. Let k(x) = 1 + 2*x**2 + 0 - 37*x**g - 3*x**2. Is k(-1) composite? False Suppose 4*l = -n + 13, 0 = -5*l - n + 5 + 10. Suppose -v - l*o + 13 = -0*o, -4*v - 13 = -5*o. Let t(b) = 18*b - 3. Is t(v) a prime number? False Let y(m) = -2*m**3 + 4*m**2 - m + 1. Is y(-3) composite? True Let z(s) = -s**3 + 8*s**2 + 9*s + 2. Let b be (-65)/(-7) - 6/21. Let w be z(b). Suppose -l = -4*y - 69, -w*y + 6*y = -12. Is l composite? True Let m be (-1228)/(-22) - (-4)/22. Suppose -5*y + 99 = -m. Is y composite? False Suppose 3*c - 33 = 4*c. Is (-1210)/c + (-2)/(-6) a prime number? True Let n be 544 + (4 + -3)*-3. Is (n/(-2))/(9/(-18)) composite? False Let f(z) = -7*z**3 - 2*z**2 + 4*z. Is f(-3) prime? False Let o(j) = -207*j - 12. Let l(h) = -138*h - 8. Let f(r) = 7*l(r) - 5*o(r). Let i = -21 - -24. Is f(i) composite? False Let f be ((-12)/(-4))/(1/2). Suppose p - f = 4*p. Is ((-1)/p)/((-3)/(-42)) a prime number? True Let a(h) = -117*h + 1. Suppose 0 = -4*w - 6 + 18. Let y be a(w). Is y/(-6) - 6/(-9) prime? True Let a(f) = -f**3 + 4*f**2 + 4*f + 5. Let l be a(5). Suppose -3*v - 2 = 4*r + 1, 4 = -2*r - 2*v. Suppose l*g + 75 = r*g. Is g a prime number? False Let i(f) = -f**3 - f. Let p be i(-1). Let v be p/(-5) + (-69)/15. Is (v/2)/((-2)/76) prime? False Is -1 - (-659 + 3)/4 prime? True Suppose 0 = w + l - 0 - 5, 12 = 4*w - 4*l. Suppose -3*v + 3*d = -228 - 87, 0 = w*d + 12. Suppose v + 57 = 3*a. Is a composite? False Let c(v) = -39*v - 5. Let a be c(-6). Let n = a - 120. Is n composite? False Suppose 0*f = 2*f - 124. Is f a composite number? True Let k = 498 - 181. Is k composite? False Let s(h) = -2*h**3 - 9*h**2 - 8*h - 17. Is s(-10) composite? False Let k(h) = h**3 - 6*h**2 + 6*h - 2. Let p be k(5). Let b(o) = 36*o - 4. Let s be b(p). Suppose -4*t + s = -0*t. Is t a prime number? False Suppose -5*m - 6 = 4*t, m + 6 = -t - t. Let s(v) = -21*v - 6. Let y be s(t). Is (-4 + y)/((-2)/(-1)) a prime number? True Let r be (9/(-3))/(2/(-2)). Suppose r*t - 8*t = 235. Let q = t - -102. Is q a composite number? True Suppose r - 1082 = -3*b, 4*b - 1926 - 2362 = -4*r. Is r a prime number? False Is 58/(-3)*(-81)/18 prime? False Let z(q) = -q**2 + 1. Let v(i) = -4*i**3 + 5*i**2 - 2. Let l(r) = -2*v(r) - 6*z(r). Let a be l(3). Suppose 3*o = o + a. Is o a composite number? False Let b(d) = -d + 222. Let n be b(0). Let v = n + -314. Let c = v - -131. Is c a prime number? False Let m(y) = -40*y. Let r = 6 + -7. Let s be m(r). Let k = s - 9. Is k a prime number? True Suppose -5*r = 15, z + 2*r - 1153 = -0*r. Is z prime? False Let s = -5361 + 8512. Is s composite? True Suppose -x + 4*y = -1308, 0 = -x + y + 2*y + 1312. Suppose -4*g - x = -8*g. Is g a composite number? False Let i(h) = h**2 + h + 2. Suppose -5*b - 25 = 2*q + 8, -5*q = -3*b + 5. Is i(q) composite? True Suppose -2*p = -4*p. Suppose 2*f = 2*t + 16, p = -5*t - 2*f - 26. Is 3*(-4)/t + 209 a prime number? True Is (-16)/(-32) + 1170/4 composite? False Suppose -6 + 2 = -2*x. Let m = x + 0. Is m prime? True Let b(l) = 2*l - 8. Let o be b(6). Suppose -x - o*g - g = -131, -709 = -5*x + 2*g. Suppose 4*y - 773 = -5*a, 2*a = -y + 170 + x. Is a a prime number? True Is (-9)/18*(-37 + -1) prime? True Let z(f) = -f**3 + 7*f**2 - 8*f + 9. Let v be z(6). Is -16*45/(-6) - v a prime number? False Let l be (-1)/(-2) + (-2997)/(-6). Suppose 4*k = -4*m + l, 5*m - 162 = -k - 45. Is k composite? False Let x(w) = -7*w + 11. Suppose -2*a = 2*a - 20. Suppose 5*g + 20 = -m + 2, 5*m + 30 = a*g. Is x(m) composite? False Let p = 180 + 1547. Is p a prime number? False Let a(m) = -m + 7. Let r be a(7). Suppose -4*n + 765 = 3*i, r = 4*i + 3*n - 0*n - 1027. Is i a composite number? True Suppose -4*o = 2*p - 254, -374 = -5*o - 4*p - 55. Let d = o - 28. Is d a prime number? False Let h(l) = l**2 + 7*l - 4. Let y be h(-9). Let j = -3 - -5. Suppose -y = -j*d - 0*d. Is d a prime number? True Let h = 11 - 8. Is (h - (2 + 0))*19 composite? False Suppose -7*n - 8*n = -35535. Is n prime? False Let b = -11 - -6. Let r(k) = -6*k + 3. Is r(b) a composite number? True Let p(d) = 2*d**3 - 3*d**2 + 3*d + 1. Let w be (1/2)/(2/12). Is p(w) prime? True Let c(k) = -38*k**3 + 2*k + 1. Let y = -8 - -11. Suppose -5*z - 2 = y. Is c(z) prime? True Let c(b) = 6*b**3 + 4*b**2 - 12*b + 2. Let k(s) = -5
{ "pile_set_name": "DM Mathematics" }
436*c - 114963. Determine s(-80). -83 Let m(x) = 228*x**2 - 97129*x + 392. Give m(426). -34 Let b(u) = 44*u**2 + 648*u + 2031. Determine b(-10). -49 Let r(b) = 1719*b + 19521. Calculate r(-12). -1107 Let u(m) = -3*m**2 - 443*m + 7309. What is u(15)? -11 Let a(f) = 14*f**2 - 3104*f + 3098. Give a(1). 8 Let b(k) = k**3 - 47*k**2 - 376*k + 73. Give b(-7). 59 Let x(j) = -8757*j + 148862. Calculate x(17). -7 Let y(w) = 440925*w + 29541980. Give y(-67). 5 Let r(p) = p**2 + 138*p + 2659. Calculate r(-29). -502 Let m(y) = -5*y**3 + 9*y**2 + 5*y - 38. What is m(-7)? 2083 Let n(z) = 6*z**2 - 118*z - 10. Determine n(16). -362 Let m(l) = -2*l**3 - 1325*l**2 - 1805*l + 117664. Determine m(-661). 6 Let q(w) = -16516*w - 4062930. Determine q(-246). 6 Let d(i) = 2*i**3 + 20*i**2 - 140*i - 1378. Give d(-9). 44 Let f(w) = -14*w**2 + 27*w - 26. Calculate f(1). -13 Let d(x) = x**3 - 23*x**2 + 70*x + 236. Determine d(19). 122 Let m(d) = 49*d**2 - 1499*d - 430. Calculate m(31). 190 Let s(p) = -p**2 + 70*p + 56868. Determine s(276). 12 Let f(t) = 2*t**2 + 11043*t - 121775. Give f(11). -60 Let b(d) = 624*d - 6684. Calculate b(12). 804 Let z(f) = 7360*f + 581412. Calculate z(-79). -28 Let u(s) = -5*s**3 - 40*s**2 + 259*s - 124. Calculate u(6). -1090 Let s(g) = 4*g**2 + 187714*g - 750919. Calculate s(4). 1 Let p(u) = u**2 - 66737*u - 800985. What is p(-12)? 3 Let a(p) = -3*p**2 - 16804*p + 151510. Calculate a(9). 31 Let r(k) = -3*k**2 + 2492*k - 27058. Give r(11). -9 Let u(m) = -361*m + 2560. What is u(8)? -328 Let k(c) = -1731*c + 245781. Determine k(142). -21 Let u(p) = -12*p**3 - p**2 + 215*p + 1080. Determine u(-5). 1480 Let n(l) = 4*l**3 - 160*l**2 - 335*l - 17. What is n(42)? 25 Let m(w) = -w**3 - 39*w**2 - 427*w - 6191. What is m(-28)? -2859 Let n(a) = -1227*a + 25576. Give n(22). -1418 Let v(a) = a**3 + 9*a**2 - 3606*a + 160. Determine v(56). 2064 Let g(f) = -45138*f + 270962. Determine g(6). 134 Let f(u) = 8784*u + 105534. Give f(-12). 126 Let t(x) = -3*x**3 + 29*x**2 + 106*x - 1145. What is t(10)? -185 Let q(p) = 53*p**2 - 802*p + 801. What is q(1)? 52 Let v(g) = 5*g**2 - 817*g - 14812. What is v(-18)? 1514 Let a(z) = -8349*z + 23344. Calculate a(3). -1703 Let u(o) = -21*o**2 - 1014*o - 10196. Calculate u(-34). 4 Let t(v) = 29741*v + 297394. Give t(-10). -16 Let o(p) = 5*p**3 - 312*p**2 + 2384*p + 176. Calculate o(9). 5 Let t(a) = -102*a**3 - 1250*a**2 - 302*a + 146. Determine t(-12). 26 Let k(l) = 181*l - 59679. Calculate k(334). 775 Let t(p) = p**3 - 123*p**2 + 217*p + 3000. Give t(121). -25 Let v(d) = -852*d**2 + 1329*d + 751. Calculate v(2). 1 Let j(g) = 26*g**3 + 549*g**2 + 48*g + 13. Give j(-21). 328 Let k(o) = -3873*o + 105013. Determine k(27). 442 Let w(q) = q**3 - 27*q**2 - 85*q + 3771. What is w(23)? -300 Let f(p) = -p**3 + 3*p**2 + 528*p - 3047. Determine f(6). 13 Let a(o) = 11*o**3 + 5*o**2 + 984*o - 8. Calculate a(0). -8 Let m(u) = 21*u + 152. Give m(-20). -268 Let c(k) = -19244*k + 75858. What is c(4)? -1118 Let x(i) = -34*i**3 - i**2 + 4*i - 16. Determine x(5). -4271 Let l(k) = 9*k**3 - 1467*k**2 + 1470*k - 1995. What is l(162)? -51 Let o(j) = -755*j + 11120. What is o(12)? 2060 Let n(p) = -5*p**2 + 102738*p + 102738. Calculate n(-1). -5 Let p(t) = -2*t**2 + 69*t + 3377. Determine p(-30). -493 Let p(j) = -349*j + 7391. Give p(22). -287 Let i(b) = -b**2 + 388*b - 8579. What is i(28)? 1501 Let p(a) = a**2 - 287658*a + 1438256. Determine p(5). -9 Let i(v) = -5625*v - 888743. Determine i(-158). 7 Let n(g) = -8*g**3 + 10*g**2 - 24*g + 65. Calculate n(2). -7 Let f(t) = -23*t**2 - 4619*t + 780. Give f(-201). -24 Let x(a) = -a**3 + 19*a**2 - 24*a - 145. What is x(4)? -1 Let h(g) = g**3 - 51*g**2 - 1155*g - 6. Give h(68). 62 Let n(q) = -q**2 + 70474*q + 563848. Give n(-8). -8 Let m(f) = -19*f**2 - 683*f - 1848. Calculate m(-33). 0 Let q(i) = -12547*i + 112826. Give q(9). -97 Let b(k) = -k**2 - 12807*k + 38447. Calculate b(3). 17 Let j(q) = 827*q + 11901. Calculate j(-15). -504 Let y(w) = -63*w + 13325. What is y(213)? -94 Let v(i) = i**2 + 49*i - 66222. What is v(234)? 0 Let g(w) = -w**3 + 20*w**2 + 17*w - 758. Calculate g(7). -2 Let h(y) = -2*y**3 + 10*y**2 + 19506*y - 136347. What is h(7)? -1 Let f(y) = -42*y + 1457. What is f(-4)? 1625 Let n(k) = k**3 - k**2 + 484*k - 1480. What is n(3)? -10 Let n(x) = -620*x**2 + 1885*x - 1. Calculate n(3). 74 Let p(a) = -16*a**2 + 2231*a - 35674. Give p(121). 21 Let x(h) = -3656*h + 266917. What is x(73)? 29 Let y(l) = -137160*l - 274049. Calculate y(-2). 271 Let t(u) = -2*u**3 - 242*u**2 + 230*u - 54. Calculate t(-122). 1654 Let f(u) = 10*u**2 + 192*u - 2397. What is f(12)? 1347 Let h(k) = -k**3 + 5*k**2 - 1312*k + 7793. Determine h(6). -115 Let r(o) = -33*o**2 + 215*o + 2771. Calculate r(13). -11 Let g(h) = -41*h**3 + 3241*h**2 - 155*h - 222. What is g(79)? 15 Let x(f) = 658*f + 33728. Determine x(-48). 2144 Let v(a) = -1056*a**2 + 21132*a - 239. Give v(20). 1 Let s(t) = 8378*t + 7355894. Give s(-878). 10 Let f(x) = -16*x**2 + 874*x - 6919. What is f(45)? 11 Let m(z) = z**3 - 14*z**2 + 21*z - 559. Give m(15). -19 Let n(r) = 2*r**2 + 191*r - 2412. Calculate n(-107). 49 Let d(q) = -266*q - 11019. Determine d(-68). 7069 Let u(b) = -21*b**3 - 272*b**2 + 16*b + 183. Determine u(-13). 144 Let f(n) = n**3 + 143*n**2 - 1079*n - 4367. Give f(-150). -17 Let p(q) = 170*q + 1186. What is p(-7)? -4 Let m(k) = k**3 + 9*k**2 + 426*k - 1893. What is m(4)? 19 Let o(v) = 41168*v - 2717048. Give o(66). 40 Let m(z) = -z**2 - 56*z - 1779. Give m(-45). -1284 Let a(c) = -2*c**3 + 55*c**2 + 118*c + 373. Calculate a(29). 1272 Let h(d) = -1150552*d + 4602217. Determine h(4). 9 Let k(u) = -2*u**2 - 121*u - 1510. Calculate k(-45). -115 Let k(p) = -20*p**3 + 2*p**2 - 245*p - 1163. What is k(-5)? 2612 Let h(l) = -106*l**2 + 9130*l - 54729. Determine h(6). -3765 Let a(g) = -50*g**2 + 431*g - 2182. What is a(5)? -1277 Let y(t) = 2*t**2 - 176*t - 2400. Calculate y(-13). 226 Let r(i) = -3876*i - 22277. Calculate r(-6). 979 Let x(o) = 17*o**2 + 131*o - 813. Determine x(4). -17 Let q(s) = -901*s - 14408. Calculate q(-16). 8 Let u(b) = -1647*b + 4285. What is u(3)? -656 Let v(z) = 5*z**3 - 32*z**2 - 266*z + 1352. Determine v(9). 11 Let w(u) = 7*u**2 - 1259*u + 7311. What is w(6)? 9 Let v(q) = 35896*q + 717913. What is v(-20)? -7 Let w(s) = -181*s + 16597. What is w(92)? -55 Let h(x) = -x**3 + 289*x**2 + 67018*x - 2267. What is h(-152)? -139 Let x(z) = -z**2 - 55*z + 270. Calculate x(4). 34 Let r(h) = -10428*h + 2878164. Calculate r(276). 36 Let b(z) = 3135*z**2 - 31302*z - 484. What is b(10)? -4 Let t(l) = 21191*l - 211907. Determine t(10). 3 Let s(g) = -g**2 - 1697*g - 197116. Calculate s(-124). -2064 Let d(p) = -4168*p + 450149. Determine d(108). 5 Let o(d) = -10010*d + 60049. Give o(6). -11 Let y(p) = 6579*p - 855058. Calculate y(130). 212 Let f(r) = 547*r + 27956. Determine f(-52). -488 Let d(a) = 841*a - 1540. Determine d(0). -1540 Let s(k) = -10879*k - 14806316. What is s(-1361)? 3 Let x(q) = -40929*q + 2373841. Give x(58). -41 Let g(w) = -852*w - 16435. Calculate g(-19). -247 Let m(u) = -8*u**3 + 907*u**2 - 326*u - 1459. Calculate m(113). 10 Let z(i) = -5*i**2 - 89*i + 277. Determine z(-20). 57 Let w(u) = 15530*u + 108703. What is w(-7)? -7 Let g(x) = -24*x**2 - 318*x - 5. What is g(-12)? 355 Let i(d) = d**3 - 242*d**2 - 1989*d - 2837. What is i(250)? -87 Let y(z) = 19382*z - 1065995. Give y(55). 15 Let b(t) = -t**3 - 29*t**2 - 97*t - 155. Calculate b(-23). -1098 Let s(n) = -n**3 - 3*n**2 - 313*n + 1212. Determine s(4). -152 Let c(p) = -p**2 + 392127*p + 16863302. Give c(-43). -8 Let w(h) = 2*h**3 - 135*h**2 + 2032*h + 8380. Give w(37). 55 Let w(m) = 30*m**3 - 151*m**2 + 49*m - 261. Give w(5). -41 Let s(n) = 3*n**2 - 89*n + 968. Determine s(36). 1652 Let z(u) = u**3 - 52*u**2 + 671*u - 69. What is z(21)? 351 Let k(a) = 388707*a - 777449. What is k(2)? -35 Let y(j) = -2*j**2 + 69*j - 97. Calculate y(29). 222 Let s(o) = o**3 + 65*o**2 - 983*o + 9793. Give s(-79). 76 Let z(f) = -14*f**2 + 10277*f - 21280. What is z(732)? -52 Let q(i) = 74123*i + 444400. Calculate q(-6). -338 Let v(u) = -10*u**2 - 1283*u + 16602. What is v(13)? -1767 Let j(k) = -k**3 + 113*k**2 + 1111*k + 399. Give j(122). 1985 Let c(j) = j**2 - 227*j - 9959. Determine c(-44
{ "pile_set_name": "DM Mathematics" }
gest value in -5, 5, -68/5, -4566? -5 Which is the fifth biggest value? (a) -27 (b) 0.1 (c) -1/2 (d) -3 (e) -4/3 (f) 34/5 (g) 1 e Which is the smallest value? (a) 2 (b) -1600 (c) 0.1 (d) -3455 d What is the second biggest value in -1/2, -0.03, 453637? -0.03 What is the smallest value in 0, -17.5, -356/9, 3? -356/9 Which is the fourth smallest value? (a) 1/12 (b) -142 (c) -2/93 (d) -5 (e) -1 c Which is the fourth smallest value? (a) -3 (b) 240 (c) 6/5 (d) 2 (e) 0 (f) -0.19 (g) -1 e Which is the second smallest value? (a) -0.051787 (b) 4 (c) -0.033 c Which is the fourth biggest value? (a) 4 (b) -1 (c) -0.122 (d) -10 (e) 11 b Which is the smallest value? (a) 10 (b) -6 (c) 0.1 (d) 1/3 (e) -2/405 b Which is the second biggest value? (a) -4/7 (b) -1.28 (c) 9 (d) -1 (e) 4.5 (f) -4 (g) 0 e What is the smallest value in -2/17, 56316, -2, -32? -32 What is the fourth smallest value in 11, 1/4, 5, 4, -2/5, 1887? 5 Which is the third biggest value? (a) 0.0583 (b) 1/14 (c) 7 (d) -11 a What is the second smallest value in 5, 2/7, -3/8, 1.2, -0.06, -1148? -3/8 What is the sixth biggest value in 4, 5, 8, 0.1, -5, -56, 0.008? -5 Which is the third smallest value? (a) 0 (b) 1/2 (c) -2 (d) 281068 (e) -0.4 a Which is the fourth smallest value? (a) -186 (b) -1 (c) -0.3 (d) 160 (e) -0.01 (f) -3 c What is the third smallest value in -1/4, -7, -1, 0.4, -0.18, 2.45? -1/4 Which is the fourth biggest value? (a) -0.3 (b) 3 (c) 11271 (d) -45/2 d What is the fourth smallest value in 77, -0.5, -5, 0.016, -5/48? 0.016 Which is the smallest value? (a) 3 (b) -990/7 (c) 1033 (d) 18/11 b What is the fifth smallest value in 7/5, 1/5, 0, 2/7, -0.091, 2/45? 2/7 Which is the fourth smallest value? (a) 5.6 (b) -2 (c) -4 (d) -1 (e) -3 (f) 3216 d What is the fifth biggest value in 0.5, -0.5, -6/287, 1, 234? -0.5 What is the fourth smallest value in 0.3, 2/9, -0.1, 125494, 0.036, -5? 2/9 What is the biggest value in -2/5, 0.5, -4, -5433, -3/4, -0.3, -2/59? 0.5 Which is the smallest value? (a) -178 (b) -4/9 (c) 2.272 a What is the second smallest value in -5, 61, -22, -0.2, 17/2, -1? -5 Which is the third biggest value? (a) -1/3517 (b) 0 (c) -60/7 (d) 1/9 (e) 2 (f) 0.1 f Which is the third biggest value? (a) -1/5 (b) -5/7 (c) 1 (d) -2/21 (e) -9 (f) 0.5 (g) -12 d Which is the third biggest value? (a) -2901228 (b) 4 (c) -3/2 a What is the third biggest value in -0.672318, -4, -2/123? -4 Which is the smallest value? (a) -13 (b) 2 (c) 3/7 (d) -2/15 (e) -1.46 a What is the second biggest value in -60/17, 445, 50, 0.5? 50 What is the fifth biggest value in 4854/23, 0, 0.37, -2/15, -4? -4 Which is the sixth biggest value? (a) 3/5 (b) 10/197 (c) -1/6 (d) -0.2 (e) -0.8 (f) 2/3 e Which is the smallest value? (a) -4 (b) -0.4 (c) -1/8 (d) -1303 (e) -0.09 d What is the fifth biggest value in 6, 4782, 1, -3.5, -1? -3.5 What is the fourth smallest value in -1/3, 3/2, -1100, 0, -829? 0 Which is the sixth smallest value? (a) -1/11 (b) 5.14 (c) 6/11 (d) 0 (e) 0.1 (f) 2 b Which is the fifth biggest value? (a) 0.02 (b) -2/11 (c) 5 (d) 7.46 (e) -3 (f) -6 e Which is the fourth smallest value? (a) -2/11 (b) 1 (c) 5 (d) 1/4 (e) 3 (f) -5551 (g) 4 b What is the third smallest value in -2/5, 4, -5, -2, 5, -4264, -22? -5 What is the second biggest value in 1509, 0, -0.3, 12? 12 What is the sixth biggest value in 2, 1, 0.17, -5, 6, 0.3, -2/587? -2/587 What is the smallest value in -118.94, 5, 3, -13, 0? -118.94 Which is the second biggest value? (a) -6274488 (b) 0 (c) -5 c What is the sixth biggest value in 3, -1, -12, -119, 4.7, -3? -119 What is the second biggest value in 96296, -0.042, 3/5, -0.2? 3/5 Which is the second biggest value? (a) -1/172 (b) -0.3 (c) 0.15 (d) -2/7 (e) 0.6 (f) -0.044 (g) 0.1 c What is the fourth biggest value in -3/1006, -0.0197, 1/3, -26? -26 Which is the third smallest value? (a) -412 (b) 21 (c) -9 (d) 1/5 (e) 2/5 (f) 0.1 f Which is the sixth smallest value? (a) 5 (b) -3/2 (c) 3 (d) 2/7 (e) -1 (f) -4 (g) 49/3 a What is the biggest value in 3/5, -0.17, 26267, -0.5? 26267 What is the fifth biggest value in -2/17, -1/6, 0, 5/6, -1341, 7, 31? -2/17 Which is the fifth smallest value? (a) 2 (b) -11.5 (c) -2/3 (d) 0.8 (e) 3 (f) -34 a Which is the fourth biggest value? (a) -2/9 (b) -5417 (c) -1346 (d) -2 b Which is the biggest value? (a) 9204 (b) 2.5 (c) -2/887 a Which is the third smallest value? (a) -3.3 (b) -440 (c) -38 (d) -0.2 a Which is the smallest value? (a) -1/14 (b) 20 (c) 49 (d) -1/2 (e) 2/3459 d What is the fifth biggest value in -10/163, -1, 3, 5, -5, 227, 1/6? -10/163 What is the biggest value in 0.4, 624785, -2/3, 0.2? 624785 Which is the biggest value? (a) 146 (b) -0.07 (c) 1839 c What is the third smallest value in 2/5, 3, 2748.01, 3/7? 3 What is the third smallest value in 51/8, 165, 0.033? 165 What is the second smallest value in -11950.85, -0.4, 26? -0.4 Which is the fifth biggest value? (a) -4 (b) -0.1 (c) -2/3 (d) 1/11 (e) -8723 e What is the third biggest value in -43, 0.3, -179472? -179472 Which is the third biggest value? (a) 1/5 (b) 3 (c) -9/8 (d) 142162 a Which is the smallest value? (a) 5 (b) 0 (c) 19/108 (d) -0.7 d What is the fourth biggest value in -0.01, 6, -30/1879, 0.5, 0.1, 2, -4? 0.1 Which is the second smallest value? (a) 1 (b) 165290 (c) 7 c Which is the second biggest value? (a) -1/10580 (b) 11 (c) 0 (d) -5 c What is the third biggest value in 1/148, 7/6, -3/565? -3/565 What is the second smallest value in -313126823, 1, -5? -5 What is the smallest value in 0.08, 4, 389.2623? 0.08 Which is the fourth biggest value? (a) -3/8 (b) -1/3 (c) -5874 (d) -14/3 c What is the biggest value in -3/2, 14, -3, 2/179, 7, 0.2, -0.4? 14 Which is the biggest value? (a) 2.5 (b) 0.116 (c) -2/9 (d) 1 (e) 0.3 (f) 5 f Which is the smallest value? (a) -3 (b) 0.2 (c) -15448 c What is the third smallest value in -0.3, -0.12, 154/3, 970? 154/3 What is the second biggest value in 3/5, 20, -0.2, -5, 3/4, 6, 21.72? 20 What is the third biggest value in -21130, 1798, 4? -21130 Which is the third biggest value? (a) -53509 (b) 160 (c) 3 a What is the biggest value in 0.5, -4, -165, 3, -0.617? 3 What is the second smallest value in 2/53, -3, -19, 2/13, 2/117? -3 Which is the second smallest value? (a) 0.06 (b) 46147 (c) 0.4 (d) -16 a What is the biggest value in -30/13, -0.791, -1/2, 2, -1/18? 2 Which is the second smallest value? (a) -0.325 (b) -4/51 (c) 28.9 b Which is the second biggest value? (a) 789/4 (b) 2 (c) 330 (d) -9 a What is the second smallest value in 1.2, 2/17, 104/15399? 2/17 Which is the second smallest value? (a) -1/4 (b) 4 (c) -1455 (d) -1.42 d Which is the fourth smallest value? (a) 9.5 (b) -0.3 (c) 26 (d) 51 (e) 1/8 (f) -5 a Which is the second biggest value? (a) -0.06 (b) 1/3 (c) -16.187 (d) 0.1 (e) -2 (f) 3 (g) -3 b Which is the biggest value? (a) -139 (b) -4 (c) -1/2 (d) -23/5 (e) -41 c What is the second smallest value in 2, -713584, 3? 2 What is the second biggest value in -14, 8353/16, 1/100? 1/100 Which is the biggest value? (a) 162 (b) -0.007 (c) -5 (d) -0.3 (e) 4 (f) 3 a Which is the second biggest value? (a) -2/3 (b) 0 (c) 2 (d) 0.03 (e) -3 (f) 181 (g) 0.8 c Which is the fourth smallest value? (a) 7/34 (b) 71 (c) -5 (d) 2/9 (e) 4 e Which is the smallest value? (a) -1/4 (b) -1579 (c) 6/7 (d) 2/3357 b What is the fourth biggest value in -3, -3/4, 3, -299575? -299575 Which is the smallest value? (a) 1 (b) -13 (c) -0.5 (d) 2512 (e) 90 b Which is the third smallest value? (a) -34 (b) -4/48161 (c) 1/8 (d) 1 c What is the third biggest value in -0.06, -2/111459, -143? -143 What is the second smallest value in -1.2, 136, -1421, -5, -2/13? -5 What is the second smallest value in -100, -0.3, -1/115, 3.5? -0.3 Which is the third biggest value? (a) -0.3 (b) -76.8 (c) 1/5315 b What is the second smallest value in 4/9, 13, -214? 4/9 What is the second smallest value in 0.3, -261, -1/6, -21434? -261 Which is the fourth biggest value? (a) 268.7 (b) -10 (c) 1/5 (d) -0.4 (e) 0.1 d Which is the fou
{ "pile_set_name": "DM Mathematics" }
factor of 13266/(-737) + 2233*14? False Suppose 27*p - 80723 = -15059. Does 16 divide p? True Let j = 7202 - 7198. Suppose 3*o + 19 = -5*d, 15 - 4 = -2*o - 3*d. Is 23 a factor of j/(-8)*-185 + o/(-4)? True Let k(j) = j**2 + j. Let o(c) = -9*c**2 - 15*c - 2. Let v(t) = -6*k(t) - o(t). Let a be v(-2). Does 4 divide -76*a/8 + -2? True Let z(l) = l**3 + 22*l**2 - 47*l + 26. Let b be z(-24). Does 82 divide (1157 - -10)*(2 - 0)/b? False Suppose 3*g - 126 = 4*a - 7*a, 5*a - 99 = -2*g. Let y = g - -327. Suppose -8*r + 132 = -y. Does 8 divide r? False Let f(c) = c**3 - 9*c**2 + 9*c - 13. Let v be f(8). Let h be v/((-175)/185) - 2/7. Let d(s) = 8*s**2 - 3*s - 1. Does 23 divide d(h)? True Does 72 divide (-660396)/(-165) + 3/(-15)*2? False Suppose 126021 = 97*b - 11344 - 38205. Is 10 a factor of b? True Suppose -56 = -38*h + 20. Suppose 13*r - 9*r + 592 = g, -5*r + 1119 = h*g. Is 52 a factor of g? True Suppose f + 7 = 0, -3*z + 96*f - 101*f + 5137 = 0. Is z even? True Let v = 7584 - 5234. Does 25 divide v? True Let b be (1*-179)/(8/(-8)). Let i = -45 + b. Suppose 4*s - 2*q = i, 3*s - 178 = -3*q - 55. Is s a multiple of 9? True Is 3/2*(-286)/429 + 13*1 even? True Suppose 15*v - 218 = -1463. Let r = 93 + v. Suppose z - r = 5. Does 3 divide z? True Let c(p) = -468*p**3 + 10*p**2 - 5*p - 42. Is c(-3) a multiple of 5? False Suppose -8*x = -3*x + 10, -2*l = -x - 6. Let a(h) = 68*h**3 - h - 2. Does 90 divide a(l)? True Let y be (-8)/12*9/(-6). Let g(v) = 19*v**3 + v**2 + v - 2. Let l be g(y). Suppose -l*m + 1080 = -4*m. Is m a multiple of 18? True Suppose 0 = 111*h + 109*h - 1006720. Is h a multiple of 352? True Does 81 divide ((-104)/78)/(8/(-4692))? False Suppose 3*o = -2*i + 117, 0 = -3*i - 41*o + 40*o + 172. Is i a multiple of 19? True Suppose -3801 - 5847 = -16*i. Suppose 3*w - 2*w - 807 = -4*x, -3*x - 3*w + i = 0. Is 19 a factor of x? False Let o be 3 - 2/(-6)*(-2 - -2). Let j(y) = -19*y**2 + 4. Let u(z) = -38*z**2 + 8. Let n(f) = 5*j(f) - 3*u(f). Does 38 divide n(o)? False Let y(j) = -5*j + 3. Let g be -3 + (2 - (0 + -6)). Let b(x) = 9*x - 6. Let u(p) = g*y(p) + 3*b(p). Is u(5) a multiple of 2? False Let b = -652 - -550. Does 30 divide 30/((b/(-18) + -5)/2)? True Suppose -728 = -2*g + 4*g. Let q = -242 - g. Let t = -26 + q. Is 24 a factor of t? True Suppose -16*i - 342 = -6. Let g = 105 + i. Does 3 divide g? True Suppose -115 = -5*g + 385. Is (1125/g)/((-9)/(-840)) a multiple of 30? True Let c = 168 + -369. Is (-2 + 1)*(c - -39) a multiple of 22? False Let r be (6/(-4) - 0)*(-240)/72. Suppose 4*j = -8*f + 5*f + 713, r*f = 5*j + 1130. Is f a multiple of 33? True Let z = -31 + 216. Let l = -124 + z. Is l a multiple of 2? False Let a be (1 - (-5 + 0 + 5)) + -5. Does 14 divide a/2*(-127)/2? False Suppose 16*p + 1082 = 106. Let n = -1 - p. Is n a multiple of 5? True Let o = -1634 + 2494. Suppose -1636 - o = -12*w. Is w a multiple of 34? False Let a(p) = 2*p**2 - 4*p + 809. Let r be a(0). Suppose -224 + r = 5*s. Is s a multiple of 8? False Let g(n) = n**2 + 18*n - 34. Let p(r) = r**3 + 9*r**2 - 23*r. Let y be p(-11). Does 57 divide g(y)? True Let d = 3002 + -2861. Does 43 divide d? False Let b(r) = 89*r**2 - 3*r - 12. Suppose -3*j + 16 = -4*q + 6*q, 4*j - 24 = -4*q. Let f be b(j). Suppose -10*t + f = -3*t. Does 11 divide t? False Is 54 a factor of ((-900)/27)/(-1 + (-160)/(-162))? True Let j(a) = -107*a + 6. Let t(p) = p**3 + 42*p**2 - 86*p + 86. Let f be t(-44). Does 11 divide j(f)? True Let t(o) = -6*o**2 + 9*o + 14. Let s(f) = -f**2 + f. Let c(p) = 5*s(p) - t(p). Does 63 divide c(-10)? True Let y be (-45)/12*4/(-3) + -1. Let o(h) = h**3 - 10*h**2 + h - 10. Let l be o(10). Suppose l = -y*p + 2*f + 748, 90 = 3*p + f - 481. Is 12 a factor of p? False Suppose 11432 = 24*i - 15352. Does 62 divide i? True Let d = 2572 - 1553. Is d even? False Let j(i) = i**3 - 12*i**2 - 11*i - 15. Suppose 6 = 4*g - 30. Let a be j(g). Does 6 divide (-2)/(-8) - a/12? True Let p = 28 - 37. Is 5/(45/(-6))*p a multiple of 3? True Let b be -1 + (6 - 8/4) + 1172. Suppose b = 23*a - 3172. Does 9 divide a? True Suppose -w = -5*m + 1493, -m - 1475 = -6*m - 5*w. Let c = 517 - m. Is 27 a factor of c? False Suppose -149*c + 150*c = 7. Let p(f) = f**3 + 2*f**2 + 4*f + 15. Is p(c) a multiple of 22? True Does 147 divide (12642/(-1))/(2/4 - 264/176)? True Let h(v) = 2766*v - 879. Is 97 a factor of h(15)? False Suppose 0 = -2*k + 2, -2*k = o - 4*o + 1096. Let f = o + 79. Does 31 divide f? False Let k(y) be the first derivative of -37*y**2 + 129*y - 35. Does 43 divide k(-7)? False Does 11 divide -1873*(3026/(-356) + 2/((-4)/5))? True Let k(y) = 9*y - 27*y**2 + 28*y + 9*y**3 + 0*y**3 - 16 - 8*y**3. Does 45 divide k(26)? True Suppose -5*p + 15841 = -5*z - 12594, -3*p = z - 17037. Does 57 divide p? False Let a(t) = t**3 + 9*t**2 + 9*t + 24. Let p be a(-7). Suppose -111 - p = -k. Is 10 a factor of k? True Suppose 0 = -96*p + 81*p + 253980. Is p a multiple of 166? True Let f be 65 + 1 - 12*5/15. Let k(s) = -6*s - 1. Let g be k(-1). Suppose 0 = -3*j + g*c + 190, -c - f = -j - 0*j. Does 12 divide j? True Let t(p) = -208*p - 162. Does 16 divide t(-10)? False Let l(s) = -2*s**3 - 15*s**2 + 6*s - 11. Let y be l(-8). Suppose y*v = -4*n + 192, 23*v + 114 = 26*v + 3*n. Is 6 a factor of v? False Suppose 3*r + 4*n = 6*n + 34, -58 = -5*r + 3*n. Let k(y) = -3*y**2 - 47*y - 45. Let w(l) = l**2 + 24*l + 22. Let p(t) = 3*k(t) + 7*w(t). Does 5 divide p(r)? True Is 34 a factor of (6/30 - (-30820)/25) + 5? False Let u(a) = -a**2 - 8*a + 62. Let m be u(-15). Let k = m - -281. Is 17 a factor of k? True Let y = 13786 - -612. Is 13 a factor of y? False Suppose 4 = 2*p, y - 2*y - 706 = -2*p. Does 20 divide 7 + -2 + -7 - y? True Let g(c) = -c**3 + 6*c**2 + 4*c - 17. Let t be g(6). Suppose t*y - 242 + 67 = 0. Suppose -7*v + 6*v + y = 0. Is 4 a factor of v? False Let v(t) = 4392*t - 17344. Is 232 a factor of v(18)? True Let y = 6306 + -4034. Is 16 a factor of y? True Suppose 2*q + 159 = 5*x, -6*q - 2*x = -2*q + 306. Let s = 81 + q. Is 3 - (-37 - -2)/(s/20) a multiple of 10? False Let s(l) = -155*l**3 - 7*l**2 - 45*l - 218. Is s(-4) a multiple of 18? False Is 31 a factor of ((-349587)/189)/((-4)/12)? True Is 98349/15 - (371/35 - 12) a multiple of 6? True Let q = -94156 + 134338. Does 181 divide q? True Suppose -27 = 5*f + 28. Let v = f - -3. Is 44/3*12/v*-1 a multiple of 11? True Is 5 a factor of (16410/(-8)*(-2)/5)/(342/456)? False Let d be 14/686*7 + (-90)/(-7). Let w(c) = c**3 - 9*c**2 - 15*c + 11. Is w(d) a multiple of 82? True Let h = 29516 + -22886. Does 39 divide h? True Suppose 24 = 4*a + 2*a. Suppose 232 + 116 = a*t. Suppose -b + t = 2*n - 30, -3*n = b - 178. Does 7 divide n? False Let o = 1009 - 622. Let j = o + -23. Is j a multiple of 26? True Let c be 8/28 - (326/14 - 6). Let o = 0 - c. Is o even? False Suppose 0*l - 3*l + 6 = 0. Suppose -4*v = -l*v - 3*u + 3, 0 = -4*v - 2*u + 18. Suppose v*q - 246 = -3*j, 0 = -q - 3*q + j + 343. Is 10 a factor of q? False Let z(k) = 36*k**2 - 55*k + 1473. Does 6 divide z(21)? True Suppose 11*b + 97522 - 18786 = 67*b. Does 19 divide b? True Let f(v) = 44*v**2 + 109*v - 2073. Does 208 divide f(28)? False Let m = -57 + 61. Let d(w) = -w + 2. Let v be d(m). Does 13 divide (3*v/(-3))/(3/156)? True Let b(p) = -16*p - 4 + 0 - 2. Let z be b(2). Let d = z + 53. Does 4 divide d? False Suppose -2*h - 3*j + 25030 = 0, -3*h + 19*j = 14*j - 37469. Does 41 divide h? False Let z be (38 - 3)/5 - 3. Let d(c) = z*c**2 + 5 - 12 - 14*c + 6*c. Is d(5) a multiple of 5? False Suppose -65*c + 3*k + 8124 = -60*c, -3*c = -k - 4868. Is c a multiple of 5? True Let y(q) = 48*q + 276. Let s be y(-23). Let c = 877 + s. Is c a multiple of 15? False Suppose -1131*d = -1129*d + 6. Let b(c) = -c**2 + 5*c + 3. Let z be b(5). Does 56 divide (z + 414)/(d/(-2))? False Let w = 4 - 1. Suppose w*o + o = 1236. Does 19 divide (o/3)/(0 + 1)? False Does 8 divide (2254/70)/(5/200)? True Let v be 1/(-3)*3 + 6. Suppose -3 = -3*y, -v*y = -3*m - m + 2503. Does 37 divide m? False Let f = 238 + -100. Let k be -2 + 48/28 + 401/7. Let m = f - k. Does 15 divide m? False Let u(z) = 2*z**2 - 19*z + 21837. Is 77 a factor of u(0)? False Let c(b) = b**3 + 7*b**2 + 2*b - 10. Let y(r) = -r**2 + 40 + 37 - r**3 - r - 78. Let s(j) = -c(j) - 2*y(
{ "pile_set_name": "DM Mathematics" }
king 1 k, 2 r, and 1 x when four letters picked without replacement from kbrbrbxrnrkbbjrj? 1/91 Four letters picked without replacement from iqqqccqqqmmqcqicmmc. Give prob of picking 3 q and 1 m. 56/969 Calculate prob of picking 1 h and 3 i when four letters picked without replacement from ilivilihloovuh. 8/1001 Three letters picked without replacement from {g: 1, x: 2, u: 3, l: 1, v: 5}. What is prob of picking 2 u and 1 l? 3/220 What is prob of picking 3 p and 1 o when four letters picked without replacement from {t: 1, o: 6, g: 2, p: 3, j: 4, m: 2}? 1/510 Two letters picked without replacement from mzmmmzm. What is prob of picking 2 m? 10/21 Two letters picked without replacement from {s: 7, c: 7}. What is prob of picking 2 s? 3/13 What is prob of picking 1 y, 1 v, 1 s, and 1 z when four letters picked without replacement from zyynvyvyozvsy? 6/143 What is prob of picking 1 p and 1 x when two letters picked without replacement from {a: 5, r: 1, d: 1, p: 1, g: 3, x: 2}? 1/39 What is prob of picking 2 w when two letters picked without replacement from pwppwww? 2/7 Two letters picked without replacement from {n: 1, j: 1, r: 4, q: 1, s: 2}. What is prob of picking 1 s and 1 j? 1/18 Calculate prob of picking 1 s and 1 a when two letters picked without replacement from {a: 2, s: 16}. 32/153 Calculate prob of picking 1 y, 1 x, and 1 z when three letters picked without replacement from {j: 1, x: 11, y: 4, z: 1}. 11/170 What is prob of picking 2 j when two letters picked without replacement from zzfzzzzjzzzjzjf? 1/35 Two letters picked without replacement from ncxzcxzcxnnwnccnnzxx. What is prob of picking 2 c? 1/19 Four letters picked without replacement from whwhphyiwhphwyyy. What is prob of picking 2 p and 2 h? 1/182 Four letters picked without replacement from atoaavja. Give prob of picking 3 a and 1 j. 2/35 Two letters picked without replacement from uiuffuffuuu. Give prob of picking 2 u. 3/11 Two letters picked without replacement from lbdbkbbzvvbvbzbb. Give prob of picking 1 v and 1 l. 1/40 Four letters picked without replacement from {e: 2, t: 7}. What is prob of picking 2 e and 2 t? 1/6 What is prob of picking 2 w and 1 u when three letters picked without replacement from {w: 2, u: 7}? 1/12 Calculate prob of picking 1 b and 1 a when two letters picked without replacement from aaaooafafaaabfaofa. 10/153 Three letters picked without replacement from memmxgmgmmx. Give prob of picking 2 g and 1 m. 2/55 Calculate prob of picking 1 t and 1 a when two letters picked without replacement from tafdpds. 1/21 Three letters picked without replacement from mmmmmmmmmm. Give prob of picking 3 m. 1 What is prob of picking 2 c and 1 i when three letters picked without replacement from {i: 1, x: 2, c: 7}? 7/40 Calculate prob of picking 1 w and 2 b when three letters picked without replacement from {w: 5, j: 1, b: 9, c: 1, d: 1}. 9/34 Four letters picked without replacement from mmmmmmmmmmmmmmmmmx. Give prob of picking 4 m. 7/9 What is prob of picking 1 u, 1 w, 1 b, and 1 p when four letters picked without replacement from wpzuwutwtwub? 4/165 What is prob of picking 2 t and 1 d when three letters picked without replacement from {d: 6, t: 2, q: 1, e: 3, c: 7}? 2/323 Three letters picked without replacement from {w: 6, x: 3, e: 4}. Give prob of picking 1 w, 1 x, and 1 e. 36/143 Calculate prob of picking 1 m and 3 x when four letters picked without replacement from {x: 6, m: 3, j: 4}. 12/143 Two letters picked without replacement from {v: 2, f: 1, b: 5, w: 1}. What is prob of picking 1 f and 1 b? 5/36 Two letters picked without replacement from eeezezez. Give prob of picking 2 e. 5/14 Four letters picked without replacement from {k: 5, q: 4, y: 1, j: 6}. What is prob of picking 3 k and 1 q? 2/91 Four letters picked without replacement from {v: 4, e: 2, a: 2, i: 11}. What is prob of picking 1 v, 2 i, and 1 e? 110/969 Calculate prob of picking 1 l and 1 a when two letters picked without replacement from {l: 4, f: 9, a: 3}. 1/10 What is prob of picking 2 h and 2 q when four letters picked without replacement from {h: 2, q: 2, o: 2}? 1/15 Three letters picked without replacement from xxxxxxxdxxxxdxddxx. What is prob of picking 1 d and 2 x? 91/204 Calculate prob of picking 1 e, 1 o, and 1 g when three letters picked without replacement from {o: 1, q: 2, g: 2, e: 1}. 1/10 Two letters picked without replacement from {q: 2, o: 3}. What is prob of picking 1 o and 1 q? 3/5 Calculate prob of picking 1 c and 2 p when three letters picked without replacement from cpqpqppcppppp. 36/143 Three letters picked without replacement from ddddaad. What is prob of picking 3 d? 2/7 Two letters picked without replacement from {k: 3, j: 3, b: 1, o: 1, y: 2}. What is prob of picking 1 b and 1 j? 1/15 What is prob of picking 2 j, 1 e, and 1 t when four letters picked without replacement from {t: 1, e: 2, j: 4}? 12/35 Two letters picked without replacement from mvcvqpvscscpcv. What is prob of picking 1 p and 1 m? 2/91 What is prob of picking 2 c when two letters picked without replacement from cyyycxn? 1/21 What is prob of picking 1 g and 1 i when two letters picked without replacement from iiiiiiig? 1/4 What is prob of picking 3 x and 1 h when four letters picked without replacement from {w: 3, h: 8, x: 6}? 8/119 Four letters picked without replacement from {d: 2, i: 5}. Give prob of picking 4 i. 1/7 Calculate prob of picking 1 q and 1 l when two letters picked without replacement from qpcpfcl. 1/21 Two letters picked without replacement from fee. What is prob of picking 2 e? 1/3 Three letters picked without replacement from wookokmkkkmodkwkkow. Give prob of picking 2 w and 1 d. 1/323 Two letters picked without replacement from axzaaxzjojxxzxaxjzxj. Give prob of picking 1 o and 1 z. 2/95 Two letters picked without replacement from {v: 1, r: 1, j: 2, h: 1}. What is prob of picking 2 j? 1/10 What is prob of picking 1 c and 1 q when two letters picked without replacement from ddtddqddctccdccd? 1/24 Two letters picked without replacement from llrwglwrllll. Give prob of picking 1 l and 1 g. 7/66 Two letters picked without replacement from {a: 1, j: 2, o: 1, b: 2}. What is prob of picking 2 j? 1/15 Three letters picked without replacement from {d: 13, g: 5}. Give prob of picking 3 g. 5/408 Two letters picked without replacement from srrrrrss. Give prob of picking 1 s and 1 r. 15/28 Four letters picked without replacement from {q: 2, c: 2, e: 1, m: 10, d: 4}. Give prob of picking 1 e, 1 c, and 2 q. 1/1938 Four letters picked without replacement from nnnniinnnniinnnnnnnn. What is prob of picking 4 i? 1/4845 Four letters picked without replacement from eiwwotihihhi. Give prob of picking 1 w and 3 h. 2/495 What is prob of picking 1 w, 1 p, and 1 r when three letters picked without replacement from oprwnmno? 1/56 Calculate prob of picking 2 x when two letters picked without replacement from {i: 7, x: 5}. 5/33 Calculate prob of picking 2 r and 2 l when four letters picked without replacement from {r: 7, l: 2, s: 1, x: 4}. 3/143 Two letters picked without replacement from uyukyyuquqqrqu. Give prob of picking 1 k and 1 q. 4/91 Three letters picked without replacement from twwnwwitwnw. Give prob of picking 2 n and 1 i. 1/165 Three letters picked without replacement from ebbnzebb. Give prob of picking 2 e and 1 z. 1/56 Two letters picked without replacement from bbttsssttsttb. Give prob of picking 1 t and 1 s. 4/13 What is prob of picking 1 f and 1 e when two letters picked without replacement from {e: 1, f: 2, k: 1}? 1/3 Four letters picked without replacement from njusnnjzdssjssnjsszs. Give prob of picking 1 s, 1 u, and 2 z. 8/4845 Calculate prob of picking 4 c when four letters picked without replacement from ccllccclclccl. 14/143 What is prob of picking 2 r and 1 v when three letters picked without replacement from lrrrrlrrrrrvrvrrlrvm? 39/190 Calculate prob of picking 2 u and 1 o when three letters picked without replacement from unnuuonnunuonnunn. 3/68 What is prob of picking 4 z when four letters picked without replacement from zzzzzzz? 1 Three letters picked without replacement from {l: 2, n: 10, w: 1, j: 7}. Give prob of picking 1 w and 2 j. 7/380 Calculate prob of picking 2 l and 1 c when thre
{ "pile_set_name": "DM Mathematics" }
rs? 0.000008461398 What is fifty-one halves of a week in hours? 4284 How many milligrams are there in 45/4 of a gram? 11250 How many millilitres are there in 3/40 of a litre? 75 How many millimeters are there in 63.25426um? 0.06325426 What is 21/8 of a microgram in nanograms? 2625 What is 2/9 of a week in minutes? 2240 What is 21/5 of a milligram in micrograms? 4200 How many kilograms are there in one fifth of a tonne? 200 What is 1/30 of a minute in seconds? 2 What is thirty-seven halves of a second in milliseconds? 18500 How many months are there in 1/10 of a millennium? 1200 What is 1/4 of a kilometer in meters? 250 How many microseconds are there in 0.6497895 days? 56141812800 Convert 508.7048m to millimeters. 508704.8 How many years are there in 79819.85 millennia? 79819850 How many litres are there in 444983.1ml? 444.9831 What is eleven halves of a kilogram in grams? 5500 What is 8.359935 decades in centuries? 0.8359935 What is 9.717521 kilograms in milligrams? 9717521 What is 69/2 of a litre in millilitres? 34500 Convert 4641.841 millilitres to litres. 4.641841 What is 15/4 of a hour in minutes? 225 How many millimeters are there in 1/20 of a meter? 50 Convert 0.0302734um to millimeters. 0.0000302734 What is 863.5047ug in nanograms? 863504.7 How many weeks are there in 134.341599 hours? 0.799652375 What is 30.25575 millennia in years? 30255.75 How many months are there in 29/5 of a decade? 696 What is 88/5 of a millennium in centuries? 176 What is 20.644002 months in years? 1.7203335 What is one fifth of a tonne in kilograms? 200 What is 3/8 of a milligram in micrograms? 375 How many milliseconds are there in 4/3 of a minute? 80000 Convert 0.978414 millimeters to nanometers. 978414 How many micrometers are there in seven eighths of a millimeter? 875 What is twenty-nine halves of a litre in millilitres? 14500 What is 0.1522489 millilitres in litres? 0.0001522489 What is 25/4 of a litre in millilitres? 6250 What is three eighths of a micrometer in nanometers? 375 What is twenty-one fifths of a litre in millilitres? 4200 What is 4/21 of a week in minutes? 1920 What is 0.813151 millennia in months? 9757.812 What is 3018.466 centimeters in kilometers? 0.03018466 How many weeks are there in 54811.701ms? 0.0000906278125 What is 33/5 of a century in years? 660 How many nanometers are there in 27/2 of a micrometer? 13500 How many milligrams are there in 183.6231 grams? 183623.1 How many micrograms are there in 74.64219g? 74642190 How many millilitres are there in sixty-one halves of a litre? 30500 How many millilitres are there in 3383.987 litres? 3383987 What is 27/5 of a centimeter in millimeters? 54 What is 764.0876 days in hours? 18338.1024 How many hours are there in 17462.601us? 0.0000048507225 How many decades are there in 5786.564 centuries? 57865.64 How many micrometers are there in one tenth of a meter? 100000 Convert 2.908698 litres to millilitres. 2908.698 How many years are there in 21/8 of a millennium? 2625 Convert 33230.49 centuries to months. 39876588 What is 6061.10715us in weeks? 0.000000010021671875 What is 6.823562 kilometers in centimeters? 682356.2 What is 3.203912nm in micrometers? 0.003203912 How many seconds are there in eighteen fifths of a minute? 216 How many months are there in five sixths of a century? 1000 What is one tenth of a litre in millilitres? 100 How many nanograms are there in one tenth of a microgram? 100 What is five quarters of a micrometer in nanometers? 1250 How many weeks are there in 175838.2857ms? 0.00029073790625 How many litres are there in 0.7191248 millilitres? 0.0007191248 What is 0.7841823 tonnes in kilograms? 784.1823 Convert 0.589583 nanometers to centimeters. 0.0000000589583 How many milligrams are there in 7/4 of a gram? 1750 How many millilitres are there in fifteen quarters of a litre? 3750 How many micrometers are there in seventeen quarters of a millimeter? 4250 What is 0.3508744 micrometers in kilometers? 0.0000000003508744 Convert 6393.138ug to tonnes. 0.000000006393138 Convert 32.62206um to kilometers. 0.00000003262206 Convert 246.2247 millennia to months. 2954696.4 Convert 0.3485362 years to millennia. 0.0003485362 How many nanograms are there in 1/10 of a microgram? 100 What is 7/4 of a second in milliseconds? 1750 What is 2/9 of a day in seconds? 19200 Convert 9.057111 kilometers to micrometers. 9057111000 What is 1/15 of a hour in seconds? 240 What is fourty-nine quarters of a millisecond in microseconds? 12250 How many centimeters are there in seventeen halves of a meter? 850 Convert 748.9066 milligrams to nanograms. 748906600 Convert 65.73739 millennia to months. 788848.68 How many millilitres are there in five quarters of a litre? 1250 How many millilitres are there in one quarter of a litre? 250 What is nine tenths of a decade in years? 9 What is 9.200452 centuries in months? 11040.5424 How many microseconds are there in 671.716 hours? 2418177600000 What is thirty-three fifths of a decade in months? 792 How many seconds are there in three tenths of a day? 25920 What is 2206.181 decades in millennia? 22.06181 How many kilometers are there in 0.6442539m? 0.0006442539 How many years are there in 57.132 decades? 571.32 What is 549.1292km in centimeters? 54912920 What is 0.672361 nanoseconds in seconds? 0.000000000672361 How many kilograms are there in 27/5 of a tonne? 5400 What is 78215.9ml in litres? 78.2159 What is 37315.66um in nanometers? 37315660 What is 265563.6mm in micrometers? 265563600 What is 7.936751ml in litres? 0.007936751 What is fourty-four fifths of a meter in millimeters? 8800 What is 48/5 of a litre in millilitres? 9600 What is 27/5 of a century in decades? 54 What is 38.05872 days in milliseconds? 3288273408 How many milliseconds are there in eleven eighths of a minute? 82500 What is 70575.64 centuries in decades? 705756.4 What is 1431.026163 milliseconds in weeks? 0.0000023661146875 What is 21/2 of a litre in millilitres? 10500 What is 1.476849 microseconds in nanoseconds? 1476.849 How many months are there in seventeen halves of a decade? 1020 What is three tenths of a week in minutes? 3024 What is 22030.05 millennia in decades? 2203005 What is 0.5675653 millilitres in litres? 0.0005675653 What is thirteen eighths of a micrometer in nanometers? 1625 What is 2/75 of a day in seconds? 2304 Convert 74.65751 days to milliseconds. 6450408864 How many tonnes are there in 0.2329687kg? 0.0002329687 How many kilograms are there in 9/10 of a tonne? 900 How many millilitres are there in one twentieth of a litre? 50 What is 2.5925l in millilitres? 2592.5 What is 36943.32 centuries in years? 3694332 Convert 56.65273 milliseconds to microseconds. 56652.73 What is one quarter of a milligram in micrograms? 250 What is 29/5 of a litre in millilitres? 5800 How many nanoseconds are there in 15/4 of a microsecond? 3750 Convert 0.1317927 micrograms to tonnes. 0.0000000000001317927 What is 53/4 of a year in months? 159 How many centimeters are there in 13/5 of a meter? 260 How many micrograms are there in 0.7017546 kilograms? 701754600 What is 14971.13604ms in weeks? 0.0000247538625 What is one fifth of a kilometer in centimeters? 20000 What is 29/5 of a micrometer in nanometers? 5800 What is 41/2 of a day in hours? 492 How many milliseconds are there in twenty-seven fifths of a second? 5400 How many seconds are there in seven halves of a minute? 210 How many months are there in 3/8 of a decade? 45 How many centimeters are there in 0.0976054 kilometers? 9760.54 What is 45/8 of a litre in millilitres? 5625 What is 11/2 of a litre in millilitres? 5500 What is 3319.37s in nanoseconds? 3319370000000 How many millilitres are there in 2.272723 litres? 2272.723 How many tonnes are there in 98.509 nanograms? 0.000000000000098509 What is 6/5 of a centimeter in micrometers? 12000 What is 34/5 of a day in minutes? 9792 What is 60653.93 centimeters in meters? 606.5393 What is thirty-one halves of a decade in years? 155 Convert 9124.841 centimeters to kilometers. 0.09124841 How many litres are there in 1417.892 millilitres? 1.417892 What is thirteen quarters of a litre in millilitres? 3250 What is 0.1520589 nanometers in meters? 0.0000000001520589 What is 7.527298 millilitres in litre
{ "pile_set_name": "DM Mathematics" }
*q**5 + 5/12*q**4 - 1 + 0*q**3 + 1/6*q**6 - 38*q. Factor f(n). 5*n**2*(n - 1)**2 Suppose 8788*x**4 + 47178*x**3 + 28534*x**3 + 236808*x**2 - 7710*x + 321342*x + 143748 = 0. Calculate x. -33/13, -1 Determine a so that 44*a**2 + 6*a**3 - 36*a - a**5 + 28*a + 3*a**4 + a**4 - 96 - 9*a**4 = 0. -4, -3, -2, 2 Let m(j) = -j**3 + 2*j**2 + 2*j + 1. Let t(b) = b**5 + 13*b**4 + 56*b**3 + 73*b**2 - 2*b - 1. Let l(u) = -m(u) - t(u). Factor l(o). -o**2*(o + 3)*(o + 5)**2 Let q = 12785 + -12781. Let a(l) be the first derivative of 0*l + 1/6*l**3 - 3/16*l**q + 1/20*l**5 + 37 + 0*l**2. Find z, given that a(z) = 0. 0, 1, 2 Let v(h) be the third derivative of h**7/6720 - h**5/960 - 17*h**3/3 + 21*h**2. Let m(z) be the first derivative of v(z). Factor m(p). p*(p - 1)*(p + 1)/8 Let h(v) be the second derivative of v**5/20 - 7*v**4/2 + 39*v**3/2 + 1027*v. Find n such that h(n) = 0. 0, 3, 39 Solve 8 + 52/3*y**2 + 1/6*y**5 - 9/2*y**3 - 1/3*y**4 - 62/3*y = 0 for y. -6, 1, 2, 4 Suppose -2*n - m + 43 = -6*m, -29 = -n + 4*m. Suppose 22*s + n = 23*s. Determine o, given that 7*o**3 - 25 - 55*o + s*o**3 - 35*o**2 - 21*o**3 = 0. -5, -1 Suppose -19*k = -18*k - 4. Solve 9*u**3 - 12*u**2 + 2310*u - 2310*u + 3*u**k = 0. -4, 0, 1 Let u(j) = 8*j**2 - 79*j + 68. Let k(r) = -22*r**2 + 236*r - 206. Let f(a) = -3*k(a) - 8*u(a). Let f(b) = 0. Calculate b. 1, 37 Suppose 20 - 2/13*p**2 - 126/13*p = 0. Calculate p. -65, 2 Let v(y) = 19397*y - 232764. Let s be v(12). Find p such that 12/7 + s*p**3 + 4/7*p + 1/7*p**4 - 9/7*p**2 = 0. -3, -1, 2 Let q(p) be the first derivative of -p**5/5 - p**4/2 + 259*p**3/3 - 254*p**2 + 252*p + 424. Factor q(a). -(a - 14)*(a - 1)**2*(a + 18) Let i be 89 + -112 - 510/(-22). Factor i*u + 4/11*u**2 + 2/11*u**3 + 0. 2*u*(u + 1)**2/11 Let g = -53 - -59. Factor -3*m**3 + 9*m**5 - 4*m - g*m**4 - 12*m**2 - 10*m**3 - 10*m**5. -m*(m + 1)**2*(m + 2)**2 Let r(w) be the second derivative of 392*w**2 + 56/3*w**3 + 4*w + 2 + 1/3*w**4. Factor r(t). 4*(t + 14)**2 Let k(y) = -7*y**2 - 1784*y - 266396. Let w(h) = -h**2 + h + 4. Let o(b) = -k(b) + 4*w(b). Factor o(p). 3*(p + 298)**2 Let i(v) = v**3 + 3. Let n(y) = 5*y**4 + 79*y**3 - 180*y**2 - 3. Let f(l) = i(l) + n(l). Find g such that f(g) = 0. -18, 0, 2 Let k(y) = y**2 - 53*y - 223. Let t be k(57). Let p(u) be the third derivative of -5*u**2 + 1/20*u**t - 1/2*u**3 + 0*u + 0*u**4 + 0. Factor p(n). 3*(n - 1)*(n + 1) Let a(c) = 6*c**4 - 339*c**3 - 33*c**2 + 1311*c + 9. Let t(l) = -3*l**4 + 170*l**3 + 17*l**2 - 655*l - 5. Let z(m) = -5*a(m) - 9*t(m). Factor z(f). -3*f*(f - 55)*(f - 2)*(f + 2) Let p(k) = 2*k**2 - 2*k - 1. Let i(y) = 35*y**2 - 905*y - 895. Let u(h) = i(h) - 15*p(h). Factor u(v). 5*(v - 176)*(v + 1) Let y(b) be the first derivative of 2*b**2 + 2*b**4 + 32/5*b**3 - 8/5*b + 48 - 88/25*b**5 - 2*b**6. Solve y(j) = 0 for j. -1, -2/3, 1/5, 1 Let x(i) = -76*i**4 + 1376*i**3 + 2696*i**2 + 1680*i + 332. Let k(l) = l**4 + l**3 - l**2 - 4*l + 1. Let t(y) = -4*k(y) - x(y). Solve t(o) = 0. -2/3, -1/2, 21 Let o be 0/(2 - 1/1). Let q be (-19)/((-4959)/(-116))*12/(-32). What is z in q*z**2 + 2/3*z**3 + o + 0*z = 0? -1/4, 0 Let c(u) = 5*u**3 - 448*u**2 + 4483*u - 800. Let x(m) = -12*m**3 + 894*m**2 - 8965*m + 1600. Let f(n) = -5*c(n) - 3*x(n). Find q such that f(q) = 0. 2/11, 20 Let l(m) = -9*m - 45*m**3 - 76*m**3 + 109*m**3 + 85*m**2 + 17. Let o be l(7). Factor -1/3*p**o + 0 + 4*p**2 - 12*p. -p*(p - 6)**2/3 Let q(s) = 38*s**4 - 818*s**3 - 2430*s**2 - 2212*s - 834. Let a(k) = 8*k**4 - 164*k**3 - 486*k**2 - 439*k - 167. Let w(b) = -14*a(b) + 3*q(b). Factor w(p). 2*(p - 82)*(p + 1)**3 Let q(l) be the first derivative of -4*l**2 - 98 - 4*l - 4/3*l**3. Factor q(u). -4*(u + 1)**2 Let r = 23647/335 - 4716/67. Factor 0 - 1/5*f**2 + r*f - 2/5*f**3. -f*(f + 1)*(2*f - 1)/5 Let j = -372 + 564. Let h be 2/(2/2*160/j). Solve 12/5 - h*t + 3/5*t**2 = 0 for t. 2 Let q(v) be the first derivative of -3*v**4/4 + 11*v**3/3 + 192*v**2 - 260*v + 1977. Factor q(r). -(r - 13)*(r + 10)*(3*r - 2) Let h(a) = a**2 + 77*a + 552. Let d be h(-8). Factor d + 1/10*s**2 + 0*s. s**2/10 Suppose -184718 = -41*k - 184636. Let 72/11 + 6/11*r**k + 42/11*r = 0. What is r? -4, -3 Let -1798/5 + 1796/5*h + 2/5*h**2 = 0. What is h? -899, 1 Suppose -1023516/17*v**2 + 0 - 484/17*v**4 - 38880/17*v**3 + 1062882/17*v - 2/17*v**5 = 0. What is v? -81, 0, 1 Suppose -200 - 3*j**2 + 135/2*j - 1/2*j**3 = 0. What is j? -16, 5 Suppose 4*f = -2*r + 262, -2*f - 3*f + 3*r + 311 = 0. Suppose -52 = 6*g - f. Factor 3/5*y + 0 - 3/5*y**g. -3*y*(y - 1)/5 Solve -4758*k**2 + 2*k**4 + 4580*k**2 - 4*k**4 - 120*k + 123*k**3 = 0 for k. -1/2, 0, 2, 60 Determine z so that 110*z**3 + 130*z - 30*z - 5*z**4 - 79*z**2 - 126*z**2 = 0. 0, 1, 20 Let l(z) be the third derivative of 27*z**7/35 - 51*z**6/4 + 2407*z**5/30 - 841*z**4/4 + 8166*z**2. Factor l(a). 2*a*(a - 3)*(9*a - 29)**2 Suppose -3*l - 9 = 5*c, 102*l = -3*c + 98*l - 12. Let w(a) be the first derivative of -1/12*a**4 + 1/30*a**5 - 5 + c*a**3 + 0*a + 0*a**2. Factor w(p). p**3*(p - 2)/6 Let o(n) = 2*n + 1. Let x(v) = 25*v - 25. Let g(h) = -100*o(h) + 4*x(h). Let w be g(-2). Factor w*t**2 - 2/5*t + 2/5*t**3 + 0. 2*t*(t - 1)*(t + 1)/5 Let f = 366752 + -366746. Let -46/5*h + f*h**2 + 4 - 2/5*h**4 - 2/5*h**3 = 0. What is h? -5, 1, 2 Let g = 4912528/9 - 545836. Factor 92/9 + 32/3*c + g*c**2. 4*(c + 1)*(c + 23)/9 Let x(j) be the first derivative of -2*j**5/35 + j**4/2 - 34*j**3/21 + 17*j**2/7 - 12*j/7 + 1029. Determine n, given that x(n) = 0. 1, 2, 3 Factor 81*x - 12*x**3 - 18*x**2 + 2*x**4 + 0 + 1/3*x**5. x*(x - 3)**2*(x + 3)*(x + 9)/3 Let 24*o - 88/7 - 94/7*o**2 + 2/7*o**4 + 12/7*o**3 = 0. Calculate o. -11, 1, 2 Suppose 0 = -3*o + 59 - 50. Let y be (2/2)/(2/26). Solve -y*c**2 + 25*c**2 + 6*c**o - 4*c - 14*c**2 = 0 for c. -2/3, 0, 1 Let s(k) = -6*k + 63. Let q be s(10). Let w be -37 + 41 - (q - 1). Factor 1/3*p**w - 4/3 + p. (p - 1)*(p + 4)/3 Let p(b) be the first derivative of -b**7/7560 + b**6/1080 - b**4/54 + b**3/3 - 45*b - 62. Let n(q) be the third derivative of p(q). Factor n(f). -(f - 2)**2*(f + 1)/9 Let t(i) = -69*i**4 + 38777*i**3 - 5002595*i**2 - 3684272*i - 670819. Let b(u) = -2*u**4 + 6*u**3 - u + 3. Let l(g) = -3*b(g) - t(g). Let l(x) = 0. What is x? -2/5, -1/3, 259 Suppose 4*g + 63 = 5*i, -3*i + 50*g + 39 = 47*g. Factor 22 + 2*p**2 + 5*p - 6 + i*p + 14. 2*(p + 3)*(p + 5) Let i = 367 - 137. Suppose f = 2*k + 42, -8*f + 3*f = -5*k - i. Factor 1 - f*j**2 - 25*j + 55*j**2 - 1. 5*j*(j - 5) Let o(c) = c**5 - c**4 - c**3 - c**2 + c. Let q(s) = s**3 + 8*s**5 + 14*s - 20*s - 3*s**2 - 4*s**4 + 13*s + 2*s**4. Let g(a) = 21*o(a) - 3*q(a). Solve g(m) = 0. -2, -1, 0 Let z be ((-432)/20)/(4/((-480)/(-2))). Let n = z + 9082/7. Suppose 8/7 + n*b**3 - 10/7*b - 2/7*b**4 - 6/7*b**2 = 0. Calculate b. -1, 1, 4 Suppose -12*x + 16 - 338 = -209*x + 269. Factor 33*o + 12 + 3/2*o**4 + 63/2*o**2 + 12*o**x. 3*(o + 1)**2*(o + 2)*(o + 4)/2 Suppose -2*h + 238 - 22 = 0. Let y = h + -105. Factor -9487*c**2 - 8*c + 6*c**y - 10*c + 9502*c**2 - 3*c**4. -3*c*(c - 3)*(c - 1)*(c + 2) Let i = -3 + -56. Let n = i - -61. Solve -16*b**3 + 4*b**3 - 4*b**4 + 3*b - 11*b + 4*b**5 + 23*b**n - 3*b**2 = 0. -2, 0, 1 Let c(u) be the second derivative of u**6/210 + 67*u**5/140 - 93*u**4/28 + 353*u**3/42 - 71*u**2/7 + 3*u + 240. Let c(n) = 0. Calculate n. -71, 1, 2 Let i = -67 + 51. Let v = -4 - i. Find h, given that -7*h - 4*h**2 + 0*h**2 - v*h - 5*h - 36 = 0. -3 Let 192 - 17*y**4 + 20*y**4 - 2809*y**2 + 72 + 2542*y**2 + 54*y**3 - 54*y = 0. Calculate y. -22, -1, 1, 4 Let s be 54/72*16/6. Let u be (8/56)/(-2*6/(-48)). Factor -2/7*x**4 - u*x**3 + 2/7*x**s + 4/7*x + 0. -2*x*(x - 1)*(x + 1)*(x + 2)/7 Let a be 3434 + -3419 - (-73)/(-5). Find g, given that 2/5*g**3 - 16/5 - a*g + 16/5*g**2 = 0. -8, -1, 1 Let m(y) be the second derivative of -y**5/10 + 29*y**4 + 175*y**3/3 - 14*y + 69. Determine q, given that m(q) = 0. -1, 0, 175 Let z = 50 + -62. Let v be 1 - 3 - (-16)/z*-3. Factor 8*i**2 - 12*i**2 - i**v - 30*i - 25. -5*(i + 1)*(i + 5) Suppose b - 10 = 2*t - 0*t, 0 = -5*t - 15. Suppose -b*f + 2 = -2*i, -2*i - i + 17 = 4*f. What is x in -2/5 - 18/5*x - 48/5*x**f - 32/5*x**3 = 0? -1, -1/4 Suppose -20/13*h**4 + 0 + 74/13*h**3 - 120/13*h**2 + 72/13*h + 2/13*h**5 = 0. Calculate h. 0, 2, 3 Let t(h) = -h*
{ "pile_set_name": "DM Mathematics" }
1 (d) 3 (e) 0.06 (f) 1/4 c Which is the smallest value? (a) -2/33 (b) 2/11 (c) 0.2 (d) 72.8 a Which is the third biggest value? (a) -103 (b) 5 (c) -491 (d) -5 (e) -0.1 d Which is the sixth smallest value? (a) 1/5 (b) 0.4 (c) 2/143 (d) -4 (e) 0.3 (f) 1.1 f Which is the smallest value? (a) 0.1 (b) -316 (c) -3/5 (d) -1.2 b Which is the second smallest value? (a) 1 (b) 19 (c) 8 (d) 2/21 a Which is the fifth smallest value? (a) -1/4 (b) 2/93 (c) -1/2 (d) 4/7 (e) -0.32 d Which is the second smallest value? (a) 5 (b) -3/11 (c) 0.14 (d) 74 (e) -1/3 b What is the third biggest value in -3/4, 0, -1/6, -3, -28? -3/4 What is the sixth biggest value in 0.3, -5, -2, -2/51, 28/5, 0.4? -5 Which is the smallest value? (a) -0.2 (b) -9 (c) 4/99 (d) 107 b Which is the smallest value? (a) 4 (b) 1/4 (c) 1/2 (d) 1 (e) 3/76 e What is the biggest value in -3/13, 1/8, 3, -24, -1? 3 What is the third smallest value in 6/7, -449, -0.22? 6/7 Which is the third biggest value? (a) -7 (b) 2 (c) 0.13 (d) -3/14 (e) -3 (f) 4/9 c Which is the biggest value? (a) -393 (b) -11 (c) -25/17 c What is the fourth biggest value in 1347, 0.5, -0.9, 3, 5? 0.5 What is the smallest value in 2/5, 6, 0.3, 1, -1.445? -1.445 What is the fourth smallest value in 2/15, 0.3, 1/215, -2/9? 0.3 Which is the fifth smallest value? (a) -0.3 (b) -21 (c) -2/5 (d) -2 (e) 19 e What is the smallest value in -0.9, 12, -0.5, -0.2, -1.5? -1.5 Which is the third biggest value? (a) 0.4 (b) 1/7 (c) -10/137 c What is the third biggest value in 32, -41, 3? -41 What is the third biggest value in -13, -0.1, -32023? -32023 Which is the sixth biggest value? (a) 5.06 (b) -11 (c) 2/3 (d) -3 (e) 4 (f) 2/9 b Which is the fourth smallest value? (a) 4/5 (b) -0.2 (c) 0.07 (d) 3.28 d Which is the second smallest value? (a) 2 (b) 7436 (c) -7/4 a What is the second smallest value in 1, -6/25, -1, -1.2, 4, 5/43? -1 What is the second biggest value in -59, 5, 3/8, 2/109? 3/8 What is the second smallest value in -9, -3, 2/5, 119651? -3 What is the third biggest value in 2, 2/7, 88? 2/7 What is the second biggest value in -0.2, 0, -141/5, -3? -0.2 What is the second smallest value in -4, 1/8, 6, 0, -2, -4.229? -4 Which is the biggest value? (a) -1/314 (b) -20 (c) -16 a Which is the second smallest value? (a) -1/4 (b) 1/2 (c) -0.02 (d) 1/20 (e) 4.4 c Which is the fourth biggest value? (a) 10 (b) -5 (c) 0.041 (d) 0.5 (e) 12 c What is the fourth biggest value in -2/13, 0.3, 190, -1519, -3/2, -1/3? -1/3 Which is the biggest value? (a) -2/17 (b) 4 (c) 0.58 (d) -2/5 (e) 5 (f) -1/4 e Which is the third biggest value? (a) -15/121 (b) 1/3 (c) 3 (d) 6 b Which is the smallest value? (a) -0.17 (b) -4 (c) -2 (d) -0.2 (e) 1/43 b Which is the smallest value? (a) 31.2 (b) 251/3 (c) 1.4 c Which is the second smallest value? (a) 5 (b) 44 (c) -0.3 (d) -9 (e) 0.09 c Which is the fourth biggest value? (a) -2 (b) 19/8 (c) 0.36 (d) 5 a Which is the third smallest value? (a) -4 (b) -0.03 (c) 8/3 (d) -3 (e) 129 b Which is the second smallest value? (a) -28366 (b) -8 (c) -6 b What is the smallest value in 4, -7, 0.5, 2/3, 4/9? -7 What is the second smallest value in 0.0466, 7, 3? 3 What is the second smallest value in 1.2, 4, 1, -123? 1 What is the second biggest value in -5, 1334, -3, 0.04? 0.04 Which is the third biggest value? (a) -2/21 (b) 0.02 (c) -2 (d) 0 (e) 2/53 (f) -0.2 d Which is the fourth biggest value? (a) 0.4 (b) 2/11 (c) -0.5 (d) 36 c What is the second smallest value in -8, -1, 0.5, -0.63? -1 Which is the biggest value? (a) 0.05 (b) -2/11 (c) 2 (d) 3.2 (e) -2 d What is the smallest value in -1.1, -303/23, 1/4? -303/23 Which is the smallest value? (a) -5 (b) -17 (c) -140 (d) -0.4 (e) -6 c Which is the third biggest value? (a) 1 (b) -11 (c) -3340 (d) -1 b Which is the third biggest value? (a) 3/16 (b) -14/5 (c) -0.5 b What is the smallest value in 4/71, -8, 0.3, -0.4? -8 What is the biggest value in -5, -4.282, -1/4, 0.2? 0.2 What is the biggest value in -11, 75003, 2, -0.1? 75003 What is the second biggest value in 3, 32483, -1/2? 3 Which is the fourth smallest value? (a) -1 (b) -12 (c) -69 (d) 0 (e) -0.02 e What is the sixth smallest value in -1, 3/5, 41, -1/8, -2.8, -4? 41 Which is the smallest value? (a) -0.3 (b) -9 (c) 1.8 (d) -2/9 (e) -5 b Which is the biggest value? (a) -2/5 (b) 3 (c) -0.2 (d) 21/4 (e) -0.056 (f) -4 d What is the third smallest value in 5883, 0.062, -1, 0.2, 0.1? 0.1 Which is the third biggest value? (a) 42/17 (b) 0 (c) -348/11 c What is the third smallest value in 4, 0.002, -2/3, 4/87? 4/87 What is the third smallest value in 50, 55, 0.5, 0? 50 Which is the third smallest value? (a) 17 (b) 36/7 (c) -22/7 (d) 0.5 b What is the third smallest value in 35, -2, 0.04, -1/3, 5, -3/4? -1/3 Which is the second biggest value? (a) 307 (b) -2/51 (c) 1 c Which is the fifth biggest value? (a) -1 (b) 39 (c) 0.8 (d) 1 (e) 1/4 a Which is the smallest value? (a) -4044 (b) 5 (c) -1/5 a What is the biggest value in -150, -3, -1, 4/9, -2? 4/9 Which is the third smallest value? (a) 2 (b) -2/61 (c) -5/6 (d) -2/23 (e) 1292 b Which is the third biggest value? (a) -5 (b) -1/9 (c) 1 (d) -1 (e) -3/71 (f) -2/7 b What is the third smallest value in -0.05, 486.9, 4? 486.9 What is the fourth biggest value in -4, 0.4, 2.72, 7/3, -0.2? -0.2 Which is the second smallest value? (a) 1/7397 (b) 1/4 (c) 2/9 (d) -0.5 a Which is the second smallest value? (a) -1 (b) -128178 (c) 1/9 a Which is the third smallest value? (a) 1/4 (b) -10 (c) 0.6304 (d) -8 (e) 2 a Which is the fifth smallest value? (a) 39 (b) -115 (c) 0 (d) 2 (e) -19 a Which is the fourth smallest value? (a) 0.3 (b) 1.9 (c) 2/7 (d) 309 d Which is the third smallest value? (a) -4 (b) -0.2 (c) -0.05 (d) -2 (e) -25 d What is the fifth smallest value in 0.3, -52, -22, -0.1, -2/3, -1/6? -0.1 What is the second biggest value in -327/35, 1, -2/3, -5? -2/3 What is the second smallest value in -14.4, 0.4, 7, 0, 748, 0.2? 0 What is the second smallest value in 382.22, -4, -0.2? -0.2 Which is the third biggest value? (a) 77 (b) 3/10 (c) -11/5 (d) -3 (e) -2/9 e Which is the second smallest value? (a) -1/4 (b) -3/4 (c) -0.2 (d) -7/2412 (e) -2/5 e What is the fourth smallest value in -4, -0.4, 5, 1/5? 5 Which is the second biggest value? (a) -368 (b) -4 (c) 21/31 b What is the second biggest value in -1/22, -2/15, -1/6, -2/19, 7? -1/22 What is the third biggest value in 1/211, -6, -5? -6 What is the second biggest value in -0.225, -5/4, -3060? -5/4 Which is the second smallest value? (a) 0.23 (b) -2 (c) -1/113 (d) -1 d Which is the third smallest value? (a) -5/2 (b) -10.12 (c) 3 (d) -2/13 d What is the third smallest value in -8, -0.3, 96, -1/3, 0.1? -0.3 Which is the third smallest value? (a) -234 (b) 3 (c) 2/63 (d) 1 (e) -3/4 c Which is the fourth biggest value? (a) 0 (b) 39.81 (c) -0.5 (d) 2/3 c What is the third smallest value in -3/2, -0.1, -0.055? -0.055 What is the fourth smallest value in -2, 3, 3/32, -1/5, -1, 6? 3/32 Which is the biggest value? (a) -55 (b) 124 (c) -7 b What is the third smallest value in -2/261, -0.1, 8, 0.3? 0.3 What is the fifth smallest value in -4, 0.4, 3/7, -10, -0.06, -0.2? 0.4 Which is the second smallest value? (a) -5 (b) 2/3 (c) 2.6 (d) 0 (e) 3 d Which is the third biggest value? (a) -1/99 (b) 165 (c) -2 (d) 6 a What is the third biggest value in -7, -5, -2/3, 0.1, -99? -5 Which is the third smallest value? (a) 109 (b) 4.4 (c) 13 a Which is the fourth biggest value? (a) 0.2 (b) -0.1 (c) -92126 (d) 3 c What is the third smallest value in 54.7, 15, 0.08? 54.7 What is the fourth biggest value in -24476, 2/11, 0.5, -3/5? -24476 What is the smallest value in 0.1, -58, 0.002, 1? -58 What is the second smallest value in -0.5, 0.021, 0.41, 69, -4? -0.5 What is the fourth smallest value in -2, -4, -2/3, 2/7, 11/8? 2/7 What is the fourth biggest value in -3, -2, -29, 1/2? -29 What is the fourth biggest value in 10/9, 3/5, -3, 3, 0.3, 2? 3/5 Which is the third smallest value? (a) -0.07 (b) -0.11 (c) 2/89 (d) -4 (e
{ "pile_set_name": "DM Mathematics" }
1/36 What is prob of picking 1 s, 1 r, 1 h, and 1 q when four letters picked without replacement from {e: 6, p: 6, h: 1, s: 2, q: 3, r: 2}? 4/1615 What is prob of picking 4 v when four letters picked without replacement from yvvmjvvjvvvvnmn? 2/39 Three letters picked without replacement from rrooroxrrrrrrrrrrccc. Give prob of picking 2 c and 1 o. 3/380 Calculate prob of picking 1 b, 1 s, and 2 j when four letters picked without replacement from jsbyppsj. 1/35 Two letters picked without replacement from {r: 1, l: 3, a: 1, n: 1, y: 2, g: 4}. What is prob of picking 1 n and 1 l? 1/22 Two letters picked without replacement from {l: 9, d: 1, q: 4, m: 4, o: 1}. Give prob of picking 2 m. 2/57 What is prob of picking 1 i and 1 d when two letters picked without replacement from yyypydpdipyppeppp? 1/68 Calculate prob of picking 1 i and 1 h when two letters picked without replacement from {i: 1, r: 2, h: 5, m: 1, z: 1}. 1/9 What is prob of picking 1 t and 1 p when two letters picked without replacement from {t: 2, p: 7, d: 3}? 7/33 Two letters picked without replacement from dsvvdsddd. Give prob of picking 1 s and 1 d. 5/18 What is prob of picking 2 c, 1 a, and 1 i when four letters picked without replacement from acaiacaca? 5/42 What is prob of picking 2 d, 1 l, and 1 c when four letters picked without replacement from {t: 2, j: 8, l: 1, d: 2, c: 1}? 1/1001 Two letters picked without replacement from {h: 4, x: 3, y: 1, i: 4, n: 1, w: 1}. What is prob of picking 2 x? 3/91 Three letters picked without replacement from miiimmiiimi. Give prob of picking 3 m. 4/165 Calculate prob of picking 1 m, 1 r, and 1 f when three letters picked without replacement from mmgrrgrgggfg. 3/110 What is prob of picking 2 z when two letters picked without replacement from zzllzzl? 2/7 Two letters picked without replacement from {f: 2, g: 1, k: 1, c: 1}. Give prob of picking 2 c. 0 What is prob of picking 1 x and 1 v when two letters picked without replacement from {v: 10, x: 4}? 40/91 What is prob of picking 1 j and 1 a when two letters picked without replacement from qashjej? 2/21 Three letters picked without replacement from {n: 8, r: 4, h: 8}. What is prob of picking 1 h and 2 n? 56/285 Four letters picked without replacement from {g: 1, t: 2, j: 2, r: 2, s: 3, l: 2}. What is prob of picking 1 s, 1 r, and 2 g? 0 Calculate prob of picking 1 j, 2 r, and 1 y when four letters picked without replacement from rujjylylylrruywu. 6/455 Two letters picked without replacement from {n: 5, u: 3}. Give prob of picking 2 u. 3/28 Calculate prob of picking 1 a and 1 q when two letters picked without replacement from {w: 2, q: 11, a: 6}. 22/57 Four letters picked without replacement from {n: 4, e: 5, w: 7, o: 3}. Give prob of picking 1 e and 3 w. 175/3876 Calculate prob of picking 4 y when four letters picked without replacement from yyyyyyy. 1 Calculate prob of picking 2 v and 1 c when three letters picked without replacement from {c: 10, v: 2}. 1/22 What is prob of picking 4 a when four letters picked without replacement from {l: 1, w: 2, a: 7}? 1/6 What is prob of picking 2 w and 1 m when three letters picked without replacement from {w: 3, o: 5, r: 1, m: 2, v: 1}? 3/110 What is prob of picking 1 t and 2 u when three letters picked without replacement from tuuttnntntuut? 18/143 Calculate prob of picking 1 r and 1 d when two letters picked without replacement from {d: 2, r: 1, g: 4, w: 8}. 2/105 Three letters picked without replacement from {b: 4, w: 1, r: 3}. What is prob of picking 1 b and 2 r? 3/14 Two letters picked without replacement from {d: 2, r: 1}. Give prob of picking 1 r and 1 d. 2/3 Three letters picked without replacement from {y: 2, i: 4, r: 2}. Give prob of picking 2 r and 1 i. 1/14 What is prob of picking 2 z and 2 t when four letters picked without replacement from tttzztzzzntzzfzn? 2/13 Calculate prob of picking 1 g, 1 w, and 1 v when three letters picked without replacement from vxrvwrxrvgrr. 3/220 Calculate prob of picking 1 u and 1 f when two letters picked without replacement from {u: 2, f: 1, n: 1, j: 1, s: 2}. 2/21 Three letters picked without replacement from {p: 2, s: 1, q: 3, r: 1}. Give prob of picking 1 s, 1 q, and 1 p. 6/35 Three letters picked without replacement from {f: 9, u: 2}. What is prob of picking 1 f and 2 u? 3/55 Three letters picked without replacement from {b: 7}. What is prob of picking 3 b? 1 Four letters picked without replacement from kkdddkdddkdddddkkd. What is prob of picking 4 k? 1/204 What is prob of picking 1 q and 1 o when two letters picked without replacement from llolooqooolq? 2/11 Two letters picked without replacement from pppoppppi. Give prob of picking 1 o and 1 p. 7/36 Calculate prob of picking 2 b when two letters picked without replacement from {b: 2, k: 1}. 1/3 Calculate prob of picking 1 w, 1 a, and 1 z when three letters picked without replacement from wzwwwkwkzzkkwkwa. 3/80 What is prob of picking 1 v and 2 j when three letters picked without replacement from {w: 4, h: 1, v: 2, j: 4, o: 3}? 3/91 Three letters picked without replacement from {l: 7, o: 2, a: 7, k: 2, x: 2}. What is prob of picking 1 a, 1 o, and 1 k? 7/285 Two letters picked without replacement from {m: 1, f: 6, x: 10}. What is prob of picking 2 x? 45/136 Two letters picked without replacement from vwrv. Give prob of picking 1 w and 1 r. 1/6 What is prob of picking 2 s when two letters picked without replacement from {s: 7}? 1 What is prob of picking 3 l when three letters picked without replacement from {l: 14, b: 4}? 91/204 Calculate prob of picking 2 i when two letters picked without replacement from qiiqnbqqnqiqbilnxq. 2/51 Calculate prob of picking 1 r and 3 q when four letters picked without replacement from qrqqrqqrqqr. 14/33 Two letters picked without replacement from {h: 1, v: 1, u: 1, o: 2}. Give prob of picking 1 u and 1 v. 1/10 Calculate prob of picking 1 k and 3 r when four letters picked without replacement from radrdkraadardarrdaa. 5/969 What is prob of picking 4 e when four letters picked without replacement from weweeeeee? 5/18 Four letters picked without replacement from owopywoxpwww. What is prob of picking 2 o and 2 w? 2/33 Two letters picked without replacement from {y: 4, r: 4, e: 5, o: 2, f: 2}. What is prob of picking 2 o? 1/136 Two letters picked without replacement from eexwbx. Give prob of picking 1 e and 1 w. 2/15 Four letters picked without replacement from rnnrknnnnkrknr. Give prob of picking 4 n. 5/143 What is prob of picking 2 e when two letters picked without replacement from qlllellllqlllqelll? 1/153 What is prob of picking 1 d and 1 s when two letters picked without replacement from {f: 7, s: 5, d: 7}? 35/171 What is prob of picking 1 w and 3 v when four letters picked without replacement from {f: 3, w: 3, j: 3, v: 8}? 6/85 What is prob of picking 1 s and 1 o when two letters picked without replacement from srogorotrro? 4/55 What is prob of picking 3 l and 1 q when four letters picked without replacement from {j: 1, w: 4, q: 1, l: 4}? 2/105 What is prob of picking 2 i when two letters picked without replacement from fifyfffyyfifym? 1/91 Calculate prob of picking 1 u and 1 x when two letters picked without replacement from {u: 8, i: 1, x: 1, k: 6}. 1/15 Calculate prob of picking 1 h and 2 r when three letters picked without replacement from {r: 5, h: 14}. 140/969 What is prob of picking 1 i and 2 r when three letters picked without replacement from {i: 5, a: 4, r: 3, v: 1}? 15/286 Two letters picked without replacement from {z: 1, a: 3, d: 1}. Give prob of picking 1 z and 1 a. 3/10 Three letters picked without replacement from mmmmeme. Give prob of picking 3 m. 2/7 Two letters picked without replacement from {b: 3, k: 8}. Give prob of picking 2 k. 28/55 Two letters picked without replacement from {x: 3, e: 2, p: 3, m: 1, t: 4, a: 2}. Give prob of picking 1 m and 1 p. 1/35 What is prob of picking 3 j when three letters picked without replacement from qjpdpppddjpddjh? 1/455 Three letters picked without replacement from {k: 11, m: 5}. Give prob of picking 3 k. 33/112 Three letters picked without replacement from msnhkko. What is prob of picking 1 n, 1 s, and 1 o? 1/35 Calculate prob of picking 1 k and 3 m when four letters
{ "pile_set_name": "DM Mathematics" }
-0.82. -88.97943 4.43 * -0.32616 -1.4448888 What is the product of 87325745 and -0.1? -8732574.5 Product of 1 and -29448379. -29448379 What is -78533 times -168? 13193544 What is 0.0894733 times 3? 0.2684199 What is the product of -1406758 and -0.098? 137862.284 Multiply -5 and -37112119. 185560595 Product of -26186 and 6.84. -179112.24 -140783.3534 times -2 281566.7068 What is 2838.5484 times 0? 0 What is 3 times -0.06977099? -0.20931297 Product of 12574.6 and 10.02. 125997.492 -4*-15310528 61242112 0.3 * -456956 -137086.8 28.722*-5657 -162480.354 -0.81635 * 0 0 What is -5.0568159 times -0.05? 0.252840795 Calculate -6336.76*2. -12673.52 Calculate -0.3*-3305620. 991686 2421 * 29.4 71177.4 135.961 * -67 -9109.387 -1004*-6.786 6813.144 Multiply -0.0074 and -1076.3. 7.96462 -7130592*-0.03 213917.76 100.28*-46744 -4687488.32 Calculate -209800*2.24. -469952 Calculate -9.4*-213.667. 2008.4698 What is -3.8066862 times 0.3? -1.14200586 Product of 110802 and -236. -26149272 -825832 * 0.058 -47898.256 Work out 299403.8 * 10.1. 3023978.38 Work out 2.43 * 29.9921. 72.880803 0.3*861486 258445.8 Multiply -4 and -41226.1. 164904.4 Work out -110893 * 186. -20626098 -34545 * 0.1045 -3609.9525 0.3 times -4458.5 -1337.55 What is -609916 times 0.17? -103685.72 What is the product of -5475773 and -2? 10951546 What is the product of 9.565739 and -12? -114.788868 What is -0.43306 times -13? 5.62978 -1015729.8 * 0.04 -40629.192 Calculate 20483*63. 1290429 Work out -3291 * -0.5302. 1744.8882 -16.4402*0.05 -0.82201 Work out -174.03555 * -0.9. 156.631995 -5*601.49548 -3007.4774 Multiply 78113 and 74. 5780362 What is the product of 132894 and -0.0205? -2724.327 What is the product of -0.02832 and -3612? 102.29184 Calculate 53.6*-0.21306. -11.420016 0.050939 times -6 -0.305634 Multiply -446 and -45272. 20191312 Multiply 5 and -57842.73. -289213.65 Multiply -28164 and -171. 4816044 Work out -2931861 * -103. 301981683 Work out 5434 * -369.66. -2008732.44 What is -0.1 times 135838991? -13583899.1 What is the product of 8931482 and -17.1? -152728342.2 -26.3706549*0.1 -2.63706549 57 * 0.0579439 3.3028023 Multiply 229 and 83414. 19101806 Product of 84 and 732286. 61512024 Product of -2.3756 and -56832. 135010.0992 193490 * 188 36376120 Calculate 25*39964.505. 999112.625 -3*-186.358235 559.074705 Product of 0.5 and 13846.2006. 6923.1003 Product of -46710.41 and 295. -13779570.95 Work out -1536176 * 130. -199702880 886.007 * 66 58476.462 Calculate 100673*-27.27. -2745352.71 What is the product of 0.5 and -117577559? -58788779.5 6102*0.722 4405.644 -227*18868 -4283036 Calculate 149*663970. 98931530 17 * -0.0106763 -0.1814971 Work out -4531.21 * -0.07. 317.1847 What is -2 times -0.035353208? 0.070706416 What is -0.1 times 88639482? -8863948.2 Calculate -264*12057.2. -3183100.8 What is the product of 322 and 2455? 790510 Work out -2569617 * -4. 10278468 Calculate -12.966*12548. -162697.368 0.085985 * -186 -15.99321 -146360.64 times 44 -6439868.16 What is -0.3 times -0.04502989? 0.013508967 1.82*268321 488344.22 4 * -46661534 -186646136 -0.308 * 0.1020572 -0.0314336176 What is the product of -0.9 and 1053.1? -947.79 5.7*-4136019 -23575308.3 Calculate -33.3972*23.5. -784.8342 381 times -151408.3 -57686562.3 0.4 * -1942405 -776962 Calculate -0.04*193394263. -7735770.52 0.02731*-32.61 -0.8905791 Product of 390912 and 5.8. 2267289.6 -235276.52*-0.07 16469.3564 -48.2 times 120839 -5824439.8 Product of 0.811 and -0.066258. -0.053735238 -1.14637*70 -80.2459 Multiply 373881 and -27. -10094787 What is -27061 times -0.1332? 3604.5252 180536.7*4 722146.8 143552 times -177 -25408704 Calculate 0.1638*61.13. 10.013094 Multiply -1635 and -0.14. 228.9 What is the product of -0.3 and 29111018? -8733305.4 Work out -0.19 * 420093.6. -79817.784 1 times 9658344 9658344 Calculate 0.0819*-116959. -9578.9421 43541*-6.3 -274308.3 52*-3514041 -182730132 What is -4 times 5006070? -20024280 Calculate -0.0779842*1.9. -0.14816998 What is the product of -554.99 and -0.01558? 8.6467442 56424*65 3667560 Product of -50 and -13.182717. 659.13585 -6.789 times -9400 63816.6 Work out -0.34 * 890368. -302725.12 -0.84 times -195740 164421.6 -2634.77 times 517 -1362176.09 2.1*-516021 -1083644.1 -31927 times -2.777 88661.279 What is the product of 0.642 and -11.961? -7.678962 What is the product of -0.06 and 7.969045? -0.4781427 What is the product of -73 and 0.064075? -4.677475 What is -18338 times -0.1722? 3157.8036 Calculate 8*49351.01. 394808.08 Product of 143838 and -1.181. -169872.678 Work out -3.7 * -773.925. 2863.5225 -0.094789 * 100 -9.4789 Multiply -12860.9 and 19. -244357.1 -47401.95 * 23 -1090244.85 Product of 6897457 and -0.1. -689745.7 Calculate -0.5628*8268. -4653.2304 -139 * 953131 -132485209 What is -11329337 times -0.1? 1132933.7 -1 times -92960.146 92960.146 46983*0.274 12873.342 What is -38913592 times 0.2? -7782718.4 What is 2 times 73.743? 147.486 What is the product of -131323 and -0.5? 65661.5 3030175 times 3 9090525 0.6 * -43078379 -25847027.4 35 * 650.698 22774.43 Work out 4626 * -35.425. -163876.05 Product of -4029 and -0.013442. 54.157818 -2 times -66326733 132653466 -11 times -0.068035 0.748385 Product of -1 and 5228743. -5228743 -0.9 times -4511403 4060262.7 What is -2287 times -38.6? 88278.2 What is the product of -45586 and -233? 10621538 What is the product of -295.45 and -10252? 3028953.4 What is 0.030517 times 0.6192? 0.0188961264 -0.139699 * -138 19.278462 Product of 8 and -61904410. -495235280 76238*269 20508022 -0.13 times 17051.5 -2216.695 75581.13*0 0 -209*-0.0174989 3.6572701 0.068 times 331212 22522.416 Multiply -0.0094936 and -28. 0.2658208 -152 * 0.34117 -51.85784 Product of -91 and 222486. -20246226 Product of 2 and -150882.68. -301765.36 35.945327*-2.1 -75.4851867 Multiply -5090 and 1395. -7100550 What is the product of 21 and 156103.41? 3278171.61 What is -2181094.6 times 0.07? -152676.622 Multiply 35111811 and -3. -105335433 Calculate 0.8*-38299039. -30639231.2 -0.35*-137109 47988.15 What is the product of 2.63 and -0.247331? -0.65048053 Work out -535 * 0.1087. -58.1545 -41614*7143 -297248802 -13 times -1837933 23893129 Multiply 0.117969 and 0.3984. 0.0469988496 Calculate -6409.69*4. -25638.76 4*-3335556 -13342224 238475900 times -0.4 -95390360 0.5 * -0.0655036 -0.0327518 1.87961 times -3451 -6486.53411 -5212314 * 5 -26061570 Calculate -7732159*-0.9. 6958943.1 What is 1.94147 times 0.06? 0.1164882 Work out -0.5428592 * 0. 0 -52565.97 * -1 52565.97 -81.40393*-1.1 89.544323 Product of -39 and 66160.2. -2580247.8 Calculate -14*7.874664. -110.245296 Work out 5.042 * 1153. 5813.426 0.07 times -406574.02 -28460.1814 -5 * -1658819 8294095 -107357 * -11.3 1213134.1 What is -0.359125 times 207? -74.338875 Work out -527961 * 27. -14254947 Work out 0.729815 * -55. -40.139825 Calculate -755230775*-0.5. 377615387.5 Product of 0 and -6.774505. 0 Work out 0 * 1246507. 0 -63166*-5.5 347413 Product of 2 and 24198642. 48397284 -0.4111 * 2.2553 -0.92715383 Multiply -0.1 and -1.837241. 0.1837241 Work out -998.2 * -2473.8. 2469347.16 30126 * 4482 135024732 What is 35 times 1111442? 38900470 2.8955 * 21.763 63.0147665 Multiply -0.992 and 2017.67. -2001.52864 What is -75581 times -24.85? 1878187.85 3968846 times 6.7 26591268.2 1504.43 * -357 -537081.51 Product of 4628 and -0.881. -4077.268 What is 0.3 times -5025799? -1507739.7 Multiply 424.43874 and -11. -4668.82614 0.3 * -845801.9 -253740.57 -966735.5 * -0.07 67671.485 0 * 770090 0 Work out -78 * -295557. 23053446 Work out -159619 * -0.0682. 10886.0158 Work out -80 * 5562.3. -444984 Multiply -0.4 and 667310. -266924 4918*0.1697 834.5846 What is the product of -16937732 and -0.4? 6775092.8 What is 0.155 times 12.4363? 1.9276265 Product of -5 and 150696185. -753480925 Calculate 625316*-122. -76288552 Work out 56282 * -0.07. -3939.74 What is the product of 0.06720951 and 45? 3.02442795 -0.122643*-0.24 0.02943432 Multiply -623.226 and -1.373. 855.689298 -393571 * -763 300294673 -107.52 times -0.117 12.57984 36.101233 times 2.8 101.0834524 -14685.6 * -0.004 58.7424 Product of -0.23 and 16.226. -3.73198 What is -0.01 times 7951023? -79510.23 Work out 2 * 1983.195. 3966.39 -66897.94 times -8 535183.52 What is the product of 422 and -1022? -431284 Pro
{ "pile_set_name": "DM Mathematics" }
306*f + 37*x**2 - 3 wrt x. -53718*f**2 - 6*f + 74 Find the first derivative of -2*h**4 + 5*h**3*j + 72779*h**2 - j - 1045819 wrt h. -8*h**3 + 15*h**2*j + 145558*h What is the derivative of -632*q**3 - 5243*q**2 - 5*q - 31178146? -1896*q**2 - 10486*q - 5 Differentiate 8709130*r**2 - 637544163 wrt r. 17418260*r Find the second derivative of 60476182*l**3 - 21*l - 26307. 362857092*l What is the second derivative of 27515836*t**2 - 101553452*t wrt t? 55031672 What is the third derivative of -202170898*a**3 + 2*a**2 + 2861*a - 1248? -1213025388 What is the third derivative of 1350841846*j**3 - 18*j**2 - 543267*j - 5 wrt j? 8105051076 Differentiate 60836464*h*t + 34330337*h wrt t. 60836464*h Differentiate -4*o**3*q - 13*o**3*z + 43*o**2 - 2*o*q*z - 2*o*z + 1179570*q*z - z - 176 wrt q. -4*o**3 - 2*o*z + 1179570*z What is the second derivative of -1387918542*d**3 + 109872940*d - 3 wrt d? -8327511252*d Differentiate -55370949*f*p - 42*p + 13777 wrt f. -55370949*p Find the third derivative of 7623*c*y**4 + 2*c*y**3 - 273*c*y**2 + 8*y**3 - 165*y**2 - 5*y + 2 wrt y. 182952*c*y + 12*c + 48 Find the second derivative of -3049*h**5 + 244*h**4 - 254*h + 17651. -60980*h**3 + 2928*h**2 Find the first derivative of -222106447*x + 93592657 wrt x. -222106447 What is the first derivative of 207*g*p - 80016201*g - 16309*p wrt p? 207*g - 16309 Find the second derivative of -12*j**4 + 2577*j**3 + 9*j**2 + 183*j - 30702 wrt j. -144*j**2 + 15462*j + 18 Find the second derivative of 76915743*l**4 + 250439418*l. 922988916*l**2 What is the third derivative of 6*j*p**4 - 42*j*p**3 + 168397*j*p - 1498*p**4 - p**3 + 16*p**2 wrt p? 144*j*p - 252*j - 35952*p - 6 Find the second derivative of 177450571*l**2 + 69895116*l wrt l. 354901142 What is the third derivative of -10157*d*z**4 - 90447*d*z**2 + 5*d - 316*z**4 - 2*z**2 wrt z? -243768*d*z - 7584*z What is the derivative of -31977449*g*h + 23581159*h wrt g? -31977449*h Find the third derivative of 130924930*d*r**3 + 4630*d*r**2 - 211*d*r wrt r. 785549580*d Differentiate -5184617*t + 55741997. -5184617 What is the third derivative of -f**2*r**3 + 2193*f**2*r**2 + 16*f**2*r - 10100354*f*r**3 - f*r**2 - 3*f*r wrt r? -6*f**2 - 60602124*f Find the third derivative of 2045*f**4 - 627*f**3 - 16*f**2 - 7880*f + 18 wrt f. 49080*f - 3762 Differentiate 775546*l**2*w + 241737806*l**2 + 52*w wrt w. 775546*l**2 + 52 What is the derivative of -56*b*j*u - 2*b*j + 10295*j*u + 34707*j + 16 wrt u? -56*b*j + 10295*j Differentiate 140252480*u**3*z + u**3 + 330*u**2 + u*z + 7215*u - 2*z - 2 with respect to z. 140252480*u**3 + u - 2 Find the second derivative of -93*j**5 - 29692*j**2 + 16033827*j. -1860*j**3 - 59384 What is the derivative of 6*l*p - 297295*l - 6645190*p - 7 wrt l? 6*p - 297295 What is the second derivative of -328250*u**4 - 17*u**2*x**3 + 1226183*u*x**3 + 2*u + 3 wrt u? -3939000*u**2 - 34*x**3 What is the first derivative of -9*h**4 + h**3 + 508789*h + 10233423? -36*h**3 + 3*h**2 + 508789 What is the second derivative of 97*n**4 + 96288*n**2 + 1539*n + 7129 wrt n? 1164*n**2 + 192576 Find the third derivative of 2*v**6 + 2599988*v**5 + v**3 - 16043412*v**2. 240*v**3 + 155999280*v**2 + 6 Find the third derivative of -2*f**6 - 88569154*f**3 - 10*f**2 + 4500*f + 220. -240*f**3 - 531414924 Find the third derivative of b**5 - 549*b**4 - 365*b**3 + b**2 + 190448592 wrt b. 60*b**2 - 13176*b - 2190 Find the second derivative of -31*w**5 - 236903*w**4 + 27860*w - 157. -620*w**3 - 2842836*w**2 Find the third derivative of 48229225*l**6 - 3*l**2 - 3*l + 35010269. 5787507000*l**3 What is the second derivative of c**5 - 5*c**3*w + 337074*c**2 + 13191496*c*w wrt c? 20*c**3 - 30*c*w + 674148 What is the third derivative of 1854*f**3*l**2 - 77424*f**3 - f**2*l**2 - 8*f**2 + 2*f*l**2 - 558*l**2 + 252 wrt f? 11124*l**2 - 464544 What is the first derivative of 225082*d*o**4 + 2*d*o**2 + 3228886*d wrt o? 900328*d*o**3 + 4*d*o What is the second derivative of -41*x**2*z**3 - 5*x**2*z + x**2 - 13*x*z + 281874*z**4 - z + 4 wrt z? -246*x**2*z + 3382488*z**2 What is the second derivative of -43*c*w**4 + 1916930*c*w**3 + c*w + 843*w + 57302 wrt w? -516*c*w**2 + 11501580*c*w Differentiate 108*d**3*l + 1169789*d**2*l**2 + 361179066*l**2 wrt d. 324*d**2*l + 2339578*d*l**2 Differentiate 4953026*f**2*h*v - 2*f**2*h + 6*f**2*v + 220*f*v + 188 with respect to h. 4953026*f**2*v - 2*f**2 What is the first derivative of 22*d**2 + 4*d*z**3 - 53142*d*z + 48459932*z**3 wrt d? 44*d + 4*z**3 - 53142*z Find the second derivative of 867213682*w**4 - 307488*w - 388. 10406564184*w**2 Find the second derivative of -5*k**3*l**2 + 2*k**3*l*t + k**3*l + 97*k**2*l**2*t - 206*k**2*l + 2541*k**2*t - 2*k**2 - 2535*l**2*t - l*t wrt l. -10*k**3 + 194*k**2*t - 5070*t Find the first derivative of 26*c**3*h*m**3 + 12364156*c**3*m**3 + 64642*h*m**3 wrt h. 26*c**3*m**3 + 64642*m**3 Find the third derivative of -4184225*f**3 - 9691370*f**2. -25105350 What is the third derivative of 5345810*p**3 + p**2 - 1878280 wrt p? 32074860 What is the third derivative of -374716800*y**5 - 332459946*y**2 wrt y? -22483008000*y**2 Find the third derivative of 1879*c*f**3*q**3 + 3*c*f**2 + 128*c*f*q**3 + 25*c*f*q**2 - c*q - 1706*f**3 + 2*f**2*q**3 + f**2 wrt f. 11274*c*q**3 - 10236 Find the second derivative of -10762181*f**4 + 4651412*f. -129146172*f**2 Find the third derivative of -17*s**5 - 1559826*s**4 - s**3 + s**2 - 537574220 wrt s. -1020*s**2 - 37435824*s - 6 What is the second derivative of 36625843*g**3*k**2 + 2*g**3 - 21*g*k - 3403 wrt k? 73251686*g**3 What is the second derivative of 57*a**3 - 2206278*a**2 - 405396630*a? 342*a - 4412556 What is the first derivative of 12294553*d**4*p - 11515593*p wrt d? 49178212*d**3*p What is the first derivative of -40*s*u + 12694*s - 66087655*u + 1 wrt s? -40*u + 12694 What is the third derivative of 4119577*p**3*z**3 - 2*p**3*z**2 + p**2*z**3 - 20321*p**2*z + 3*p*z**2 + 4*z**2 - 2 wrt p? 24717462*z**3 - 12*z**2 Find the third derivative of 144316395*m**4 - 61*m**2 + 18909*m - 5 wrt m. 3463593480*m What is the second derivative of -236980154*w**3 + 101913551*w wrt w? -1421880924*w What is the second derivative of -2*f**2*t**2 + 146036*f**2*t - 11*f**2 + 2403*f*t - 2*f + 8*t**2 - 311*t wrt f? -4*t**2 + 292072*t - 22 Find the second derivative of -183515939*x**4 - 223541162*x wrt x. -2202191268*x**2 What is the third derivative of -9814169*d**5 + 7*d**4 - 2*d**3 + 144*d**2 + 408*d - 627 wrt d? -588850140*d**2 + 168*d - 12 What is the second derivative of -6124591*n**3*o**2 + 2*n**3*o - 4*n**3 - 2*n**2*o**3 - 28*n*o - 18597*o wrt o? -12249182*n**3 - 12*n**2*o What is the second derivative of -332668302*j**2*v**2 + 433*j + 43603*v**2 wrt j? -665336604*v**2 Find the second derivative of 4304*o**2*z**2 - o**2 - 65*o*z**2 - 3*o + 2*z**2 - 51784*z - 2 wrt z. 8608*o**2 - 130*o + 4 Find the first derivative of 55*l**2*u + 18*l**2 - 15029*l - 46410*u + 8 wrt u. 55*l**2 - 46410 Find the third derivative of 90548964*p**4 + 2*p**2 - 118404326*p wrt p. 2173175136*p Find the first derivative of 207934*p**2 + 10*p + 7738181. 415868*p + 10 What is the third derivative of 7*u**5 - 2*u**4 + 1046314*u**3 + 16179656*u**2? 420*u**2 - 48*u + 6277884 Find the third derivative of 21*a**2*p + a**2*w**3 - 106597*a**2*w**2 + 2*a*w**3 + 2146895*p*w**3 wrt w. 6*a**2 + 12*a + 12881370*p What is the second derivative of -16*b**5 + 182*b**3 - 248*b**2 - 6116738*b? -320*b**3 + 1092*b - 496 What is the second derivative of -289367343*u**2 + 355590440*u wrt u? -578734686 What is the third derivative of 13226*s**5 - 25*s**4 + 5*s**3 - 76318899*s**2? 793560*s**2 - 600*s + 30 What is the second derivative of 10346033*c**2*x + c**2 + 3*c*x - 3*c - x - 572443 wrt c? 20692066*x + 2 Find the second derivative of -42408552*d**2*x - 22*d*x + 2*d - 49510*x - 5 wrt d. -84817104*x What is the third derivative of -944593*b*h**3 + b*h**2 - 4*b*h - 9009*b + 19*h**3 - 11*h**2 + 2*h wrt h? -5667558*b + 114 What is the first derivative of -20*g*x**2 - 347*g*x + 3147026*g - 130*x**2 + 2 wrt x? -40*g*x - 347*g - 260*x What is the third derivative of 14171*a**5 - 2*a**4 + 305*a**3 + 4923*a**2 - 214*a - 4? 850260*a**2 - 48*a + 1830 What is the first derivative of 59536*x**4 + 134*x - 112543292 wrt x? 238144*x**3 + 13
{ "pile_set_name": "DM Mathematics" }
) - -5*(sqrt(432) + (sqrt(432) + 1 - sqrt(432)))) + 2)*3*-6)**2. 1469664*sqrt(3) + 61752129 Simplify (-2 + ((-1 + sqrt(396) + sqrt(396))*-2 + sqrt(396))**2 + ((sqrt(11)*-4*-3 + sqrt(11))**2 - (sqrt(11) - (sqrt(22)/sqrt(2) + 0))**2))*1. -72*sqrt(11) + 5425 Simplify -4 + (1 + (sqrt(320) + -3 + sqrt(320) + -4 + sqrt(320) - sqrt(320)) + -3*sqrt(320) + sqrt(320) + 0 + -4)**2. 96 Simplify (-4*sqrt(490)*-1*5)/((sqrt(14)*-1*-3)/(-2*sqrt(28))). -560*sqrt(5)/3 Simplify (sqrt(500) + -2 + (sqrt(500) - (-2*sqrt(500))**2) - (2*sqrt(500) + -4) - -1*((sqrt(500)*1)**2*-3 - sqrt(500)))*4. -13992 - 40*sqrt(5) Simplify -5 + (5 + 6*((sqrt(13) + -1)*3 - sqrt(13))*-6)**2 + -5 + 0. -16272*sqrt(13) + 80151 Simplify 4*(sqrt(30)/(sqrt(6) - sqrt(6)*-2) + (sqrt(360)/sqrt(8))**2 - ((sqrt(5) + sqrt(720)*3)**2 - sqrt(225)/sqrt(5))) + 0. -27200 + 40*sqrt(5)/3 Simplify ((-5 + (sqrt(45) + -1 - sqrt(45)))**2 - (sqrt(2205) + 2)**2) + (2 + sqrt(1125))**2 + sqrt(405)/sqrt(324) + 5. -1039 - 47*sqrt(5)/2 Simplify (5 + 2 + -4 + (sqrt(120)/(sqrt(5) + sqrt(320)*2))/(-1*(sqrt(648) - sqrt(648)*2 - sqrt(8))))**2. 3*sqrt(3)/85 + 260103/28900 Simplify -4 + ((sqrt(72)/(sqrt(16)/sqrt(2)) + sqrt(9))*3)/(5*(sqrt(3) + 1*sqrt(6)/sqrt(2) + sqrt(3))) + -2 + -5. -11 + 2*sqrt(3)/5 Simplify (((2 + sqrt(2548) + -2 - (-4 + sqrt(2548) + 2*sqrt(2548))) + (sqrt(2548) + 0)*-1 + (sqrt(2548) + sqrt(2548) + 2)*4)*-3)**2. 15120*sqrt(13) + 574596 Simplify (((sqrt(40)*-2 + sqrt(40))*-5)/((2*sqrt(40))/sqrt(5)) - (-2 + (sqrt(80) - -2*sqrt(80)))*-3)**2. -462*sqrt(5) + 29789/4 Simplify 1*((2 + (sqrt(224)*6)/(sqrt(88)/(sqrt(22)/sqrt(2)))*3)*5)**2. 3600*sqrt(7) + 226900 Simplify 1 + 4*(3 + ((sqrt(8))**2 + 1 - (sqrt(72) - ((sqrt(72) - (-1 + sqrt(72)))**2 - sqrt(72)))))*-5. -259 + 240*sqrt(2) Simplify ((sqrt(495)/(sqrt(9) + 3*sqrt(729))*5)/((sqrt(11) - -2*(sqrt(891) - sqrt(11))) + sqrt(110)/(sqrt(10) + sqrt(10)*-2)))**2. 125/200704 Simplify ((0 + sqrt(171) + 4)*5)**2 + (-2*(sqrt(171) + 5*sqrt(171))*-1)**2. 600*sqrt(19) + 29299 Simplify (1 + sqrt(405) + 1 - (-2 + sqrt(405) + -3))**2 - 3*(2*(sqrt(405) + 1)**2 + sqrt(405) + -6*(sqrt(405) - sqrt(405)*2)). -2387 - 297*sqrt(5) Simplify ((sqrt(425) + sqrt(425) + -4 + sqrt(425))**2 - ((-3 + sqrt(17) + sqrt(17) - sqrt(17)) + -5)) + (1*sqrt(102)*6)/(sqrt(6)*2*2). -239*sqrt(17)/2 + 3849 Simplify (6*((sqrt(304) + sqrt(304) + -1 - sqrt(304) - sqrt(304))*2 - sqrt(304)) + -2 - ((1 + sqrt(304) + -2 - 1*sqrt(304)*5) + -5))**2. 128*sqrt(19) + 1280 Simplify -1 + -1*(0 + (-2*(sqrt(128) + (-1*sqrt(128) - sqrt(128))*-4)*-2)**2) + 5. -165884 Simplify 1*(((sqrt(2448) + 1)*1*-3 + 5)*1*-1)**2. -144*sqrt(17) + 22036 Simplify 2*(sqrt(75) + -3) + -1 - (4*(-4 + sqrt(75) - sqrt(75)))**2*5. -1287 + 10*sqrt(3) Simplify (sqrt(91) + -1*1*sqrt(91) + sqrt(91) + -1*sqrt(91)*4)/(5*(sqrt(252) - (2*(sqrt(252) + sqrt(252) + (sqrt(252)*3 - sqrt(252))) - sqrt(252)))). sqrt(13)/60 Simplify -1*-1*4*(6*(sqrt(180)*-2)**2 + -4 + (sqrt(180) + 0)**2). 17984 Simplify (1*sqrt(77)*3 - 4*(3*sqrt(77) - sqrt(77)))/(6*5*sqrt(1584)). -sqrt(7)/72 Simplify ((3 + -3*(sqrt(2057) + -2 + sqrt(2057) + sqrt(2057) - sqrt(2057)))**2*-2 + 1*(0 + -1 + sqrt(2057) + sqrt(2057) + 2 + sqrt(2057))**2)*-1. -2442*sqrt(17) + 129752 Simplify ((-5*sqrt(48)/sqrt(4))/((sqrt(600)*2 - sqrt(600)) + sqrt(600) - sqrt(6))*-1 - (sqrt(108)/sqrt(6) - sqrt(2) - sqrt(72)*-2)*6*5)**2. 127201250/361 Simplify (3*(sqrt(120) + (sqrt(120) - 5*(sqrt(120) - (sqrt(120)*-1 - sqrt(120))))))/(1*(sqrt(440)*2)/sqrt(11)). -39*sqrt(3)/2 Simplify -5 + 2 + ((sqrt(684) + 1 + 0 - ((sqrt(684) - sqrt(684)*2) + -4))**2 - (sqrt(684)*-2*3 + -5*((-2*sqrt(684))**2 - sqrt(684)) + sqrt(684))) + 2. 120*sqrt(19) + 16440 Simplify (-3*(sqrt(84) + -3*sqrt(84)*-1)*-2)/(-4*-6*(sqrt(108)*1 + sqrt(108))). sqrt(7)/6 Simplify -4 + ((3 + 5 + sqrt(637)*-2)**2 - (-5 + (((sqrt(637)*-2 - sqrt(637)) + sqrt(637))*4)**2)). -38155 - 224*sqrt(13) Simplify 2 + (-2*1*(-2*(sqrt(242) + 1) - sqrt(242)))**2 + (-6*sqrt(242)*-2*-3 + 0)**2. 528*sqrt(2) + 322362 Simplify (sqrt(18)/(sqrt(2) + sqrt(16)/sqrt(8)))/(-5*sqrt(18)/sqrt(6)) + (-2*sqrt(243) + -5 + 0)*3. -541*sqrt(3)/10 - 15 Simplify (sqrt(112)/(sqrt(242)*3))/(sqrt(56)/sqrt(200) + sqrt(7) + (sqrt(343) - (sqrt(343)*5 + sqrt(343)))). -10*sqrt(2)/5577 Simplify 3 + (sqrt(363) + 6*(sqrt(363)*-2 - sqrt(363)) + -3 + -4*(sqrt(363) + -3)*2)**2. -11550*sqrt(3) + 227319 Simplify ((-5*sqrt(242))**2 - sqrt(2)) + 3 + -1 + sqrt(2) + 1*(-5 + (sqrt(2) - (sqrt(16)/sqrt(8) + 2))). 6045 Simplify (1*(sqrt(700) - 2*sqrt(700))*-5)**2 - (-3 + 5 + (-2*sqrt(77))/sqrt(11)). 2*sqrt(7) + 17498 Simplify (4 + (1*sqrt(209)*2 - sqrt(209))/sqrt(11))*-6 - (4*(sqrt(76) - 4*sqrt(76)) - sqrt(76))/(sqrt(64)*-3). -85*sqrt(19)/12 - 24 Simplify (-1*sqrt(196)/sqrt(7))/((sqrt(4) - (sqrt(4) + -6*sqrt(12)/sqrt(3))) + sqrt(4) - sqrt(4)) + (3*-2*sqrt(49))/(3*sqrt(7)*-1). 11*sqrt(7)/6 Simplify (6*(sqrt(121) + sqrt(121)*-2)*1*4)/((5*1*sqrt(66))/((sqrt(66)*1)/sqrt(11))). -24*sqrt(11)/5 Simplify -2 + (2*(sqrt(228) + (sqrt(228) - sqrt(228)*-1)))/(sqrt(768)/sqrt(4)) - (-2 + -5*(sqrt(2299) - (3*sqrt(2299) + 0 - sqrt(2299) - sqrt(2299)))**2). 3*sqrt(19)/2 Simplify ((3*sqrt(95) - sqrt(95))*-1 + (sqrt(95) - sqrt(95)*2*-5))/(-4*(-2*sqrt(10)/sqrt(2) - -6*2*sqrt(5))). -9*sqrt(19)/40 Simplify (-2*sqrt(19))**2 + -4 + (sqrt(19) - (sqrt(38)/sqrt(2) + 4)**2) + (sqrt(1216) - (sqrt(1216) - (sqrt(1216) + 0)))**2 + -1 + sqrt(304). -3*sqrt(19) + 1252 Simplify (-1 + -1*(2*sqrt(7)*6 + sqrt(847)*-2 - (sqrt(847)*1 - (5*(sqrt(7)*-1 + sqrt(7)) - sqrt(7)))))**2 + -1. -44*sqrt(7) + 3388 Simplify ((-1*-2*sqrt(1008) + 0 + (5 + sqrt(1008))*6*-1)*3)**2 + 0. 25920*sqrt(7) + 153252 Simplify 5*((-3 + sqrt(192))*4 + 5 + 4 + sqrt(432) + (1 + sqrt(432))**2). 340*sqrt(3) + 2150 Simplify ((sqrt(11) - sqrt(44)/(-2*sqrt(4)) - (-3 + sqrt(176))) + -5 - (-3*sqrt(11) + 5 + sqrt(11) - 4*(2*sqrt(11) - sqrt(11))))**2. -49*sqrt(11) + 735/4 Simplify 4*(sqrt(720) + -1)*-4 + (sqrt(10) + sqrt(120)/sqrt(3))/(-3*sqrt(8)). -385*sqrt(5)/2 + 16 Simplify (((sqrt(4050)*-2 - sqrt(4050))**2 - sqrt(4050)) + sqrt(4050) + -4)*1 - (3*sqrt(3200) + (sqrt(3200)*-1 - sqrt(3200))). -40*sqrt(2) + 36446 Simplify ((2 + 4 + sqrt(1008))*-6 + -2 + 2)**2 + -2 + 4. 5184*sqrt(7) + 37586 Simplify ((-2*(-6*(sqrt(152) + sqrt(152)*-2) - sqrt(152)))/((sqrt(40)/sqrt(45) - sqrt(8)) + sqrt(80)/(sqrt(10) - (sqrt(360) - sqrt(10)))))**2. 273600/121 Simplify (2 + ((sqrt(132)/sqrt(4))/sqrt(3) - sqrt(11) - (sqrt(396) + 0 - sqrt(11))))**2 + ((sqrt(11) - -4*sqrt(11)*-2 - (5*2*sqrt(11) - sqrt(11))) + -5)**2. 140*sqrt(11) + 3120 Simplify ((sqrt(80)*3 + sqrt(5) + -5*(sqrt(5)*-2)**2 - 2*-3*sqrt(80)) + 2)*-2 + -1. -74*sqrt(5) + 195 Simplify 4 + (4 + sqrt(153)*-2)**2*1 + (0 + 0 + sqrt(153))*-5 + 5. -63*sqrt(17) + 637 Simplify (-3 + (-6*(sqrt(320) + 1 + sqrt(320) + sqrt(320)) + 3 - (4 + sqrt(320) + 1 + 5 + sqrt(320) + 0)))**2. 5120*sqrt(5) + 128256 Simplify (sqrt(45)/sqrt(45) - sqrt(324)*2)/(-2*((sqrt(3) - (sqrt(72)/sqrt(3))/sqrt(8)) + sqrt(3) - -3*sqrt(12))). 5*sqrt(3)/6 Simplify (sqrt(68) + (-2*(-2 + sqrt(68)) - sqrt(68)))**2 + -4 + (sqrt(68) - sqrt(68)*-3) + -1 + (sqrt(68) - (sqrt(68) - (-5 + sqrt(68)*1))) + sqrt(68)*-1 + -1. -24*sqrt(17) + 277 Simplify ((sqrt(99) + 3 + sqrt(99)*-5)*4 - (-3 + -5*sqrt(99) + -2))**2. -1122*sqrt(11) + 12268 Simplify ((((sqrt(1216) - (-1 + sqrt(1216) + 0) - 2*(sqrt(1216)*4 + sqrt(1216))) + -4)*-5)**2 + 3)*4. 48000*sqrt(19) + 12160912 Simplify -5 + 4*sqrt(39)/(sqrt(3) + sqrt(108)) + ((sqrt(1053)*-1*-5 - sqrt(1053)) + 2 + sqrt(1053)*-2)**2 + 3. 508*sqrt(13)/7 + 4214 Simplify (6*sqrt(72)*1*6)/(2*sqrt(1089) + 1*sqrt(9)*6). 18*sqrt(2)/7 Simplify (-1*(sqrt(75) + sqrt(75) + sqrt(75) + sqrt(75)*-4 + 4 + sqrt(75) + sqrt(75) + -2 + (-4 + sqrt(75))*4*3))**2. -5980*sqrt(3) + 14791 Simplify (4 + 4 + (1 + sqrt(3) - sqrt(3))**2*6 + sqrt(135)/sqrt(5) + sqrt(3) + (2*sqrt(432) - (sqrt(60)/sqrt(5) + sqrt(12))/sqrt(4)))*-1. -26*sqrt(3) - 14 Simplify -5*(-4 + -5 + ((sqrt(77) + 5*(sqrt(77) + (sqrt(77) - -2*sqrt(77)) + sqrt(77) + sqrt(77) + sqrt(77) - sqrt(77)))*1)/(sqrt(700)*1*-3 + sqrt(700))). 31*sqrt(11)/4 + 45 Simplify ((-5*(1*sqrt(114)*1 + -1*-2*sqrt(114)))/(4*(sqrt(294)*2*2 - sqrt(294))))**2. 475/784 Simplify (-2*(sqrt(132)*-3 + sqrt(132) + sqrt(132)) - sqrt(132)*3*6)/(-4*(sqrt(1200)*-2 + sqrt(432)
{ "pile_set_name": "DM Mathematics" }
*(3895/387) Simplify (w**4/(w**5/w*w)*w*w**4*((((w/(w**(-2/5)*w))/w)/w)/w)/w)**(2/19) assuming w is positive. w**(4/95) Simplify (((k**(2/21)*k)/k*(k/(k*k/(k**(-3/5)/k)))/k)/(k**(1/4)*((k*k/(k/k**(2/9))*k)/k)/k))**(-4/9) assuming k is positive. k**(5011/2835) Simplify ((z**(-2/23)/(z**(4/3)/z*z))/(z*z**(-8)*z**(1/3)*z))**(-2/5) assuming z is positive. z**(-586/345) Simplify c*c**(4/3)*c*c**(-6/19)*c**(-29)*c*c*c**(10/7) assuming c is positive. c**(-8999/399) Simplify h/(((h*h/h**(-3/10)*h*h*h*h*h)/h)/h)*h/(h/h**(-25))*h**(-35)/(h*h**25*h) assuming h is positive. h**(-913/10) Simplify (((h*h**(-2/7)/h*h*h)/h)/(h*h/h**(3/4)))**(3/8) assuming h is positive. h**(-45/224) Simplify (h/(h*h**(1/3)))/(h*(h*h**(1/6))/h*h*h)*(h**(-2/31))**(-2/85) assuming h is positive. h**(-18437/5270) Simplify (u*u/((u*u**(3/11)*u)/u)*u)**(-43)*(u/u**(-5/7))**(-30/7) assuming u is positive. u**(-43993/539) Simplify (u/u**(-4)*u*u**1)/((u/u**(-2/25))/u**(-1/3)) assuming u is positive. u**(419/75) Simplify (((c*(c/(c/(c**(3/5)/c)))/c)/c)/c)**(-9/4)*(c**(-1/6)/c)**(-3) assuming c is positive. c**(89/10) Simplify ((f**(2/3)/(f*f*f**(-4/3)))**45)**(5/6) assuming f is positive. 1 Simplify ((((l*l**(-7/2))/l)/(l*l**(-2/13)))**(1/4))**(-21) assuming l is positive. l**(2373/104) Simplify h**(2/43)*h**(-1/5)*(h**(-4/7))**(6/13) assuming h is positive. h**(-8163/19565) Simplify w**(2/3)*w/(w*w*w**11)*(w**(-2/31))**(2/85) assuming w is positive. w**(-89602/7905) Simplify l**(2/7)*l**(-14)*(l/l**(-2/7))**(-31/2) assuming l is positive. l**(-471/14) Simplify p**(1/2)*p**19*p*p*p/((p/(p**(1/41)/p)*p*p)/p)*p**6 assuming p is positive. p**(2093/82) Simplify (y**17)**39/(y**(-25)*(y**(-13/5)/y)/y) assuming y is positive. y**(3463/5) Simplify (h**(-1/8)/(h*h/(h**3/h*h)))/(h**14*h**(-5/6)) assuming h is positive. h**(-295/24) Simplify (l**(-3/14)*l)/l*l*l**(-3/2)*l**6/(l*(l/(l/(l**8/l)))/l*l*l) assuming l is positive. l**(-26/7) Simplify ((u*u*u/((u*(u*u**(-2/29))/u)/u))/(u/u**5))/(u**(-2/35)*u**(-2/21)) assuming u is positive. u**(21989/3045) Simplify j**(-16)/(j/(j**3*j))*j**(-1/4)*j**2/j assuming j is positive. j**(-49/4) Simplify (l**(-11/4)/l**(-16))/(l*(l**(1/3)*l)/l*l)**(-11/3) assuming l is positive. l**(785/36) Simplify (k**(-5/2)/k**13)/(k**(2/19))**(21/8) assuming k is positive. k**(-1199/76) Simplify k**(-10)*k*k/(k/(((k**(9/2)/k)/k)/k*k))*(k**(-2/11))**22 assuming k is positive. k**(-21/2) Simplify (k**(-8/3)*k)**(-16)*k**(-2/31)/((k*k**(1/2))/k) assuming k is positive. k**(4855/186) Simplify (a*a**(-2/51)*a)**(5/9)/(a**(-2/9)*a*a**22) assuming a is positive. a**(-9955/459) Simplify n**(3/2)/n**(4/3)*n/(n**(6/11)*n)*(n/(n**(-8)/n))/n assuming n is positive. n**(569/66) Simplify (i**(-7/4)/i**(-15))/(i*i/i**(2/43)*i**16/i) assuming i is positive. i**(-637/172) Simplify ((p**0)**42)**(-12/5) assuming p is positive. 1 Simplify ((((j**(2/3)/j)/j)/j)**39*j/j**(-1/2)*j/(j**(-1/4)*j))**36 assuming j is positive. j**(-3213) Simplify ((w/(w/(w**(-2/5)/w)))/w*w*w/(w/(w*w/(w*w**(3/2)*w*w))))**(-44) assuming w is positive. w**(858/5) Simplify ((j/j**(1/7))/j)**(-31)*(((j**(-16)*j)/j*j)/j)/j*j*j/j**(-13/5) assuming j is positive. j**(-279/35) Simplify ((q*q**(-11))/q)/q**(2/19)*(q**(2/5)/q)**(-46) assuming q is positive. q**(1567/95) Simplify ((h*h/(h/h**(-19)))/h*h*h*h**(-7))/(h**(2/17))**(2/11) assuming h is positive. h**(-4492/187) Simplify (s/(s/s**(-7)*s*s)*s**(-2/3))/((s/(s/s**4)*s)/s*s*s)**(-18) assuming s is positive. s**(295/3) Simplify m/((m**(-1/2)*m)/m*m)*(m*m*m**(-7))/m*(m**(-4)*m)**(4/23) assuming m is positive. m**(-277/46) Simplify l**(-5/9)*l*l**18*l*(l**(-5))**(-3/10) assuming l is positive. l**(377/18) Simplify (y**(4/21)/(y*y**(-35)))**(4/15) assuming y is positive. y**(2872/315) Simplify v/(v**(-1/6)*v*v)*v/v**(-1/15)*(v**10)**(-9) assuming v is positive. v**(-2693/30) Simplify (((a/(a**(-5)/a))/a)/a)**(1/7)*(a/(a/(a/(a/(a/a**(4/7))))))**(1/6) assuming a is positive. a**(11/14) Simplify ((((j/(j*j**2))/j)**(-2/71))**(33/5))**(3/26) assuming j is positive. j**(297/4615) Simplify (((s*s*s/((s*((s*s*s*s*s/s**(-23)*s)/s)/s)/s)*s*s*s*s)/s)/(s**44*s))**(22/3) assuming s is positive. s**(-484) Simplify (g/((g/((g*g**(7/5))/g))/g))/(g*g**(-15))*(g*(g/g**7)/g)/(g**(-13)*g*g) assuming g is positive. g**(107/5) Simplify (i**(-1/2))**(3/17)/(i*i**0)**(-2/3) assuming i is positive. i**(59/102) Simplify (w*w*w**16)**(-13)*w/(w/(w*w/w**2)*w)*w**(-22) assuming w is positive. w**(-257) Simplify (((a**(1/4))**9)**(1/37))**(-2/29) assuming a is positive. a**(-9/2146) Simplify (z/z**(-1/7))/(z**4*z*z)*z**28*z*z**30*z assuming z is positive. z**(386/7) Simplify ((v/(v*v*v**(-3/2)*v))**(-33)/((v/(v**(2/9)/v)*v)/((((v**9/v)/v)/v)/v)))**20 assuming v is positive. v**(3370/9) Simplify (y**(-5))**(-24)/(y**(-19)*y/(y*y/y**(7/8))) assuming y is positive. y**(1113/8) Simplify (((d/d**5)/d)/(d*d/(d*d**6/d))*(d**(2/3)/d)/(d/d**(-2)))**(-37) assuming d is positive. d**(481/3) Simplify (i**(-2/3)*i/(i*i*i**(-1/4))*i*i*i)/(((i/(i/(i**10*i)))/i)/i)**(-26) assuming i is positive. i**(2827/12) Simplify (a**6/(a*a**(1/11)*a)*((a/a**0)/a)/a*a**5/a)**36 assuming a is positive. a**(2736/11) Simplify (((y*y**(-2/9))/(y*y**(-2/19)*y))**(-2/7))**(-48) assuming y is positive. y**(-6112/399) Simplify (v/v**(-3/4))**1/(v**(-14)*v/(v*v**(-14))) assuming v is positive. v**(7/4) Simplify (y*y*y/(y**(-2/7)/y)*y)**(-3/25)*y**(-26)*(y**7/y)/y assuming y is positive. y**(-3786/175) Simplify (a**(2/7))**(-21)*a*a/((a*a*a/((a**(-5/6)*a)/a)*a)/a*a)*a*a*a*(a*a**(-1)*a)/a assuming a is positive. a**(-35/6) Simplify x/(x*x*x*x**8*x)*x*(x/(x**(-20)/x))/x*x*x**(11/3)/(x/(x/x**(-1/3))) assuming x is positive. x**16 Simplify (((f*f/f**(-6))/f*f)/(f/(f*f**(6/5))))/((f**1*f*f)/f)**(-3/19) assuming f is positive. f**(904/95) Simplify ((((s**(-2)/s)/s)/s)/s)**(1/34)*(((s/s**8)/s)/s)/(s/s**(5/8)) assuming s is positive. s**(-1299/136) Simplify ((d**5*d*d*((d**7*d)/d)/d)/(d**7/(d/d**(-3))))**(-35) assuming d is positive. d**(-350) Simplify (i**16*i**24*i)**(2/123) assuming i is positive. i**(2/3) Simplify ((d*d/d**(-12)*d)/(d*d**7))/(d**(-5/4)*d*d**(2/3)/d*d) assuming d is positive. d**(79/12) Simplify (((i**(-2)*i)/i**(-1/4))**(-8/5))**(5/4) assuming i is positive. i**(3/2) Simplify (q*q*q**9*q*q)/q*q**(-25)*(q**(-1/3))**(-31) assuming q is positive. q**(-8/3) Simplify (l/(l**(2/19)/l*l)*l)**45/((l*l**(-5/8)/l)/l**(-7/3)) assuming l is positive. l**(38101/456) Simplify f**(16/9)*f*f**(-3/4)*f*f*f*f**16*f/(f**(1/6)*f) assuming f is positive. f**(751/36) Simplify (t*t**(3/2)*t*t*t/(t**(1/6)*t*t)*t*(t**2/t*t)/t*t**8)**45 assuming t is positive. t**600 Simplify ((h**(2/15)*h)/(h/h**21))/(h**(6/11)/(h**3*h)) assuming h is positive. h**(4057/165) Simplify ((g**(-5/3)*g*g*g/(g*g**(-6)*g))/(g**(-1))**30)**(-25) assuming g is positive. g**(-2650/3) Simplify (p**19/(p/(p**(-12)*p)))**32 assuming p is positive. p**224 Simplify ((u**9)**(-1/11))**2 assuming u is positive. u**(-18/11) Simplify (((i*i**1)/i)**(1/7)*i**0/(i**3/i))**(-35) assuming i is positive. i**65 Simplify (q**(1/29)*q*q)/q*q**(6/7)*(q**(1/13))**3 assuming q is positive. q**(5601/2639) Simplify (k*k/(k/(k*k**(-11/4)*k*k)))**6*k**(-17)/(k*k**(6/17)/k) assuming k is positive. k**(-335/34) Simplify ((w**(-1)/w)/w)**(-17)*w*(w*w**(3/11))/w*w**(2/7)*w assuming w is positive. w**(4124/77) Simplify ((i**(-10))**13)**(-28/3) assuming i is positive. i**(3640/3) Simplify (f/(f*f**3))**(-5/11)/(((f**(-1/3)*f)/f)/(f/f**(-1/10))) assuming f is positive. f**(923/330) Simplify h**(-5/3)*(h/(h*h*h**(-9/5)*h*h)*h)/h*(h**(8/9)/h)**(-2/73) assuming h is positive. h**(-9407/3285) Simplify (u**(-1/4)*u)**(24/11)*(u*u*u/(u**(2/99)/u)*u)/u**(-35) assuming u is positive. u**(4120/99) Simplify (d/(d/d**(6/7)))/((d*d/(d/(d*d/((d/(d**7*d))/d))))/d)*(d*d/d**3)**(-37) assuming d is positive. d**(195/7) Simplify (p/p**(2/5)*p*p*p**(-6)*((p*((p*p**(-2/5))/p)/p)/p)**15)**(19/4) assuming p is positive. p**(-1159/10) Simplify (x**(-4/9))**0/(x**6/x*(x/(x/(x/(x**(10/11)/x*x)*x*x)))/x) assuming x is positive. x**(-67/11) Simplify (l/(((l*l**(-4/5)*l)/l)/l))/l*l*l**(-1/10)/l*(l**(3/5))**(-2/21) assuming l is positive. l**(9/14) Simplify (z/(z*z**5)*z*z*z**(2/3)*z**(5/7)/(z/((z/z**5)/z)))**4 assuming z is posit
{ "pile_set_name": "DM Mathematics" }
+ 104*o + 16, -4*j + 8 = -4*o for j. -3 Solve -32*w = 2*b + 3*b - 470, -8*w + 3*b - 5*b = -8*w + 4 for w. 15 Solve -n = -24*c + 67, -3*c = -16*n + 20*n - 29 for c. 3 Solve -332*o + 5*g = -329*o - 64 - 33, 76*g - 230*g = 4*o - 290 for o. 34 Solve -175 = -5*r, 46529*t - 4*r + 142 = 46528*t for t. -2 Solve 0 = 3*p - 9*w - 12, -533*w + 531*w = 5*p - 71 for p. 13 Solve -24*p + 28*p + 5 = -2*m + 35, 0 = 3*m - p + 186 - 161 for m. -5 Solve -g = -5*s - 9040 + 8980, 5*g = -2*s - 24 for g. 0 Solve 3*t - t + 155 = 31*k, -4*k + k + 5*t - 3*t + 15 = 0 for k. 5 Solve 2*w + 5 = -7*s, 231*s - 14 = 3*w + 235*s for w. -6 Solve -5*u + 1440*i - 1443*i = -39, 3*u - 193 = -23*i for u. 3 Solve -5*r + 11*m = -4*m - 43*m + 560, -4*r - m + 26 = 0 for r. 4 Solve 4*l = 4*y + 160, -6*y - 2*l + 163 = 371 for y. -36 Solve -5*r = -4 + 9, -98*t + 87*t + r - 161 = -3*r for t. -15 Solve -5*q + 3*s = -66, 118*q - 109*q + 5*s + 162 = 0 for q. -3 Solve w - w + 77*p = 82*p + 10, 88*w - 4*p = 2384 for w. 27 Solve -i = 28*d + 188, -5*d - 3*i + 136 = 305 for d. -5 Solve -3*j = 47*y + 167, 3*j + 17 = -129*y + 132*y + 50 for j. 7 Solve -13*v + c = 14*v - 6 + 1, 84*v + c = 81*v - 5 for v. 0 Solve 1585*z = -23*h + 1589*z + 1495, 0 = 5*z for h. 65 Solve j - 4*o + 15 = 0, j + 6446*o + 5 = 6448*o for j. 5 Solve 1930*r - 60 + 21 = 1931*r - 7*q, 0 = 4*r + 2*q - 24 for r. 3 Solve 11*o = 5*g + 45*o + 8*o - 20, g = -2*o + 4 for g. 4 Solve 7*f + 99 = 4*m + 2*f, -116 = 4*f - 40 for m. 1 Solve -3*r + 5*a - 70 = 30, -2*r - 509 = 5*a - 609 for r. 0 Solve 3549*k - 54 = 3547*k + 4*a, 2*k + a = -21 for k. -3 Solve -5*g + 79 = 4*b - 5*b - 103, -163 = -5*b - 4*g for b. 3 Solve -36 = 4*m - 214*f + 213*f, 303 = 3*m + 13*f for m. -3 Solve 7*r + 67 = 4097*k - 4102*k, -5*r + 8*k = 71 for r. -11 Solve 5*d + 5*x - 25 = 0, -11*d = 5234*x - 5233*x - 85 for d. 8 Solve -17*u + 7 = 3*q - 33, -790*q + 4 = -791*q + 3*u for q. 2 Solve -2*j - 405 = 2*a - 6*j - 419, 4*a - 88 = -4*j for a. 17 Solve 0 = -4*z - 2*l, 2430 = -2*z + 3*l + 1225 + 1221 for z. 2 Solve -19*g + z - 39 = 0, -17*g - 2*z = -2*g - 6*g - 5*g + 6 for g. -2 Solve -3*d - d = -13*l + 9*l - 24, d + 9*l - 6 = 0 for d. 6 Solve 14*j - s - 42 = 9*j, -5*s = 2*j + 129 for j. 3 Solve -r + 18 = 4*n, -54 - 54 - 40 = -135*n + 5*r + 72 for n. 2 Solve -11847*y = -11850*y + 4*r - 164, -8*y + 208 = 4*r for y. 4 Solve 16*d - 12*d + 6*p = -76 + 4, 5*d - 4*p = 2 + 46 for d. 0 Solve 2*r = 14557*p - 14553*p + 18, -2*p + 3*r = 27 for p. 0 Solve 13*u - 22*s = -7*u + 16*u - 20*s - 66, -5*s + 281 = 19*u for u. 4 Solve k + 12*r - 10*r + 49 = 43, -5*k + 2*r + 18 = 0 for k. 2 Solve 3*x + 3*f + 9 + 12 = 0, 33*f + 27*f - 49*f - 1 = -x + 6*f for x. -9 Solve 12*h + 2*n = 46, -89*h = -49*h + 3*n - 157 for h. 4 Solve -85*p - 2 + 3740 = -9*i + 7*i - 0*i, 2*p - 89 = -i for i. 1 Solve -34*q = z + 270, 6*z + 4 - 12 = 2*z for q. -8 Solve 0*h - 3*i = -2*h - 2*h - 0*i, 0 = 3*h + 12*i - 7*i for h. 0 Solve 0 = -30*a - 3*f - 3, -2*f = 11*a - 8*a - 3*f - 1 for a. 0 Solve -6*g = -5*o - 179, -g - 27*o + 25*o + 44 = 0 for g. 34 Solve 0 = 13*w - 0*w - 6*w + 2*w - 8*w + 5*u - 117, 2*w + 4*u = 96 for w. 2 Solve 2*t - 41 = 2*o + 6*t + 15*t, 4*t + 146 = -5*o for o. -30 Solve -4*g + u = -19, -186*g - 4*u - 40 = 188*g - 381*g for g. 4 Solve 4*f = 2*t - 22, -4*t + 4*f + 124325 - 124301 = 0 for t. 1 Solve -9*c + 17*c + 71*m - 1425 = 7*c, -c + 2*m - 35 = 0 for c. 5 Solve -c + 14942*y + 3 = c - 3*c + 14938*y, 0 = 5*c - 17*y + 89 for c. -11 Solve -19*j - 5*q + 54 = 144, j = 3*q - 0*q + 2 - 10 for j. -5 Solve 5*v + 4 = -11*t, 28*v + 12*v - 5*t - 336 = -t for v. 8 Solve 0 = 4*g - 12*y - 644, 2*g + 48*y - 216 = 52*y for g. 2 Solve 4*j + 5*y = -1045 + 1200, y + 95 = 2*j for j. 45 Solve -24 = -2*x + 5*z, -x + 236 + 175 = -7*z + 381 for x. 2 Solve 547*j = 553*j + 5*x + 19, 23 = -5*j + 3*x for j. -4 Solve -5332*b = -w - 5327*b - 27, -23*b + 113 = -3*w for w. -7 Solve 4*a - 3*w + 4*w + 3*w + 104 = 0, -12*a + 2*w - 290 = 3*w for a. -24 Solve -2*u - 2*l = -15*l + 165, -3*u + 156*l - 153*l = u + 31 for u. 2 Solve 3*r - 480384*i = -480391*i + 118, -4*r = -5*i + 72 for r. 2 Solve -260 - 270 = -o + 118*r, 0 = -o - 2*r + 1058 - 1008 for o. 58 Solve -6*h - 153 = 2*r - 45 + 94, -5*h = -r + 163 for r. -2 Solve 4*s = 5*i - 141, -54*s + 117*s = 57*s - i + 35 for s. 1 Solve -3*x + 10*k = -80, 2*x + 10965706*k = 10965709*k + 24 for x. 0 Solve -5*b - 5*a + 18387 - 18357 = 0, -b = -186*a - 567 for b. 9 Solve d + 5*j = 3*d + 32, 5*j + 47110 - 47154 = d - 2*d for d. 4 Solve 650*l + 3*p + 34 = 661*l - 933, -18*p + 20*p = l - 81 for l. 89 Solve -3*b - 31 = -5*v, 35*b - 37*b - 20*v - 92 = -188 for b. -2 Solve 9*o - 3*o = j - 6*j, -6*j = -4*j + 9*o + 33 for j. 6 Solve -2*c + 3*u = 48, 76*c = 75*c - 14*u + 254 - 30 for c. 0 Solve -22248218*t + 2 = -22248219*t, 0 = -5*j - 6*t - 72 for j. -12 Solve -5*a - 10 = -5*y, 3*a - 20481*y + 22 = -20482*y for a. -6 Solve 6*z - 40 = -4*h + z, -17*h - 10 = -4*z + 42 - 222 for h. 10 Solve 2*d - 2*n = 30, 38*n = -2*d - 186 - 464 for d. -2 Solve -180*c - 212 = -p - 3*p, 0*c + 3*p - 34 = 5*c - 5 for c. -1 Solve -19 = 5*h + 5400*k - 5399*k, k = 4*h - 37 for h. 2 Solve 3*c = -4*n - 9, 11*n - 1297*c + 29 = -1301*c for n. -3 Solve 4*a + 8 = 0, -2*z + 44*a - 16 = 43*a for z. -9 Solve 27*q + 146 - 526 = 26*q + 7*f, 4*q + 208 = -4*f for q. 2 Solve -2*c = -5*i - 40, -4 = 36*i + c + 130 for i. -4 Solve 5*s + 6 + 30 = 3*c - 11, 163 = 9*c - 4*s for c. 19 Solve 3*p = 2*a + 1, -462*a + 5*p = -455*a - 24 for a. 7 Solve 7*m - 2 = -5*w + 10*w, 3*m = -65*w + 70*w - 2 for w. 1 Solve 6932*s + 3*o = 6928*s - 32, -96 = -84*s + o for s. 1 Solve 0 = -5*l - 4041*o + 4040*o + 5, 3*l - 5*o = 31 for l. 2 Solve 0*p = 8*t - p - 28, 3*p - 40 = -20 - 8 for t. 4 Solve f - 84*a + 77*a - 38 = 0, 3*f - 2*f = 5*a + 28 for f. 3 Solve n + 0*l + 4*l - 2*l + 3 = -0*l, -6*n + 6 = 6*l for n. 5 Solve -123*n = 69*f + 64*f - 131*f - 128*n + 26, -2*f - 42 = 3*n for f. -18 Solve 54 = 2*f + 31*t, -24*f + 11*f - t = -17*f - 18 for f. -4 Solve -2*g - 58 = 2*o, 177*o + 58 = -2*g + 182*o for g. -29 Solve -31*m = 4*d + 1542, -d - 856*m = -861*m - 252 for d. 2 Solve 5*p + 796 - 824 = -4*z, z - 4*p + 5 = -9 for z. 2 Solve -4*d + 107 = -5051*r + 5052*r, 5*d - 130 = -2*r for d. 28 Solve 7*l = -4*i - 62, 5*i = 18*l + 141*l + 2*l + 941 for i. -5 Solve -c = 9345*q - 9352*q - 15, -3*c - 3*q - 3 = 0 for c. 1 Solve -4*y - 42 = -5*v, y + 57*v = 123*v - 62*v - 38 for y. 2 Solve 4*b - f = -20, 1537*b + 3*f = 1545*b + 56 for b. -1 Solve 1368156*s - 1368146*s + 699 = -9*k, -228 = 3*k + 5*s for k. -81 Solve -6*c - 72 = 4*r, -5*r - 5*c = -2612 + 2687 for r. -9 Solve -6 = 4*b - 3*w, 25061*w - 19 = 3*b + 25066*w for b. -3 Solve 604167*x + 5*f - 60 = 604164*x, 3*f - 42 = -3*x for x. 5 Solve 54 = u + q, 2*u + 7408*q - 7421*q + 687 = 0 for u. 1 Solve -w = 6*j + 73, -24 = 3*j + 4*w - 9 + 4 for j. -13 Solve 209*v - 529 + 189 = 200*v - 5*f, 2*v = -2*f + 11 + 117 for v. 5 Solve -106 = 19*b - 3*i, -b - 3*i + 3942 = b + 3920 for b. -4 Solve -1356*t + 1361*t + 35 = n - 0*n, -4*t = -9*n + 110 for n. 10 Solve 3*q - 2*i - 88 = 0, -56*i + 32*i + 28*i = 4*q - 176 for q. 0 Solve 2*d = 385*l - 389*l + 30, 0*l - 5*l = -20*d + 525 for l. -5 Solve -4*v + 2*v - 5*n - 168 = 0, -4*v + 48*n - 667 = -2303 for v. 1 Solve 5*w = 3*w + 688 - 696, 14*w = -4*a + 84 for a. 35 Solve -4*v - 12 = s, s + 311 - 315 = 4*v for s. -4 Solve -18013*d + 83 + 82 = -18018*d - 15*l, -d - 5*l - 51 = 0 for d. -6 Solve -2*h - 122 = 2*v - 4*v, v - 41 = -3*h + 38 - 14 for h. 1 Solve 119 = 5*s + 94*o - 89*o - 116, 49 + 86 = 5*s + 3*o for s. -3 Solve 313*f + 313*f - 626*f + 2*p = 0, -12*p - 36 = 4*f - 4*p for f. -9 Solve 5*p + 212 = 5*z + 277, -p - 17*z = -13*z + 32 for p. 4 Solve 54 = 2*w + 4*s, 208*w + 445 = 233*w + 4*s for w. 17 Solve 4*p - 5*k + 90 = 0, -111*p + 19*k + 63 = -112*p for p. -25 Solve -4*q - 1372581 = -5*o - 1372613, 2*o + 5*q = -26 for o. -8 Solve 1612*v - 230 = -7*a + 1609*v, -4*v = 4*a - 60 - 60 for a. 35 Solve 0 = 251*w - 265*w + 2*n + 58, -3*w + 0*n + 8 = 4*n for w. 4 Solve -6*i - 256 + 76 = -2*v, -i + 5*v - 52 = -8 for i. -29 Solve t + s - 7240 = -7249, 6*t - s + 21 = 2*t for t. -6 Solve -5*j - 3 = -68676*s + 68677*s, 45 = 4*s + j for s. 12 Solve 2*k - 1 = -0*k + 3*k - 7, 0 = t - 4*t - 2*k for t. -4 Solve 0 =
{ "pile_set_name": "DM Mathematics" }
the fifth biggest value in 0.1, -0.2, w, -0.3, -5? -5 Suppose 2*x + 2 = -0. Let l be (x - 1 - (-165)/30) + -3. What is the smallest value in -1/2, l, 0? -1/2 Let b = 20.4 - 17.4. Let f(v) = -17*v + 100. Let t be f(6). Let m = 13 - 11.8. What is the third biggest value in t, m, b? t Let p = -2/223 - -508/6913. Let y = -1.4 - 7.7. Let v = y - -8.8. Which is the third biggest value? (a) p (b) 1/6 (c) v c Let h = 27700706/203 - 136457. Let v = -1/29 - h. Let i = 0.0934 - 0.1834. Which is the third smallest value? (a) -4 (b) v (c) i b Let x = -5018.4 - -5018. What is the fourth biggest value in -0.04, 1, -2, x, -13/6? -2 Suppose 5*j - 27 = d, 0*j + j = -4*d - 24. Let l = d - -3. What is the second smallest value in l, -29, -1/2? l Let n = -9 - 118. Let o = n + 123. What is the fourth biggest value in o, 1/4, 0.4, -0.2? o Let l = -0.07444 - -1.47444. What is the smallest value in l, -1, -4/7, 63? -1 Suppose n = b - 8, 4*n + 81 - 38 = 5*b. What is the biggest value in 3/7, -5, b, -3/8? b Let o = 27/4 - 101/12. Let l(m) = 89*m + 40. Let a be l(10). Let q be 2/(-5) + a/(-50). What is the biggest value in 2, o, q? 2 Let o = -0.273 + 0.11. Let a = o - -0.2. Let u = a + -0.047. What is the biggest value in 4, 3, u? 4 Let w = -38595 + 38600. Let t = -1 + 1.1. Which is the third smallest value? (a) w (b) 3/14 (c) -2/15 (d) t b Let h = 5/9 + -7/18. Let b = h + -17/30. What is the third biggest value in -1/3, 2/9, b, 1/3? -1/3 Let l be (-5)/(-9)*((-133)/5 + 27). Let q = 3 - 5. Let o be ((-4)/6)/(q/9). What is the biggest value in l, o, -0.12? o Let c be 4/(-3)*837/1395. What is the second smallest value in -22, -5, c? -5 Let o = 0.336 + -0.026. Let t = -0.05 + o. Let y = t + -0.23. Which is the smallest value? (a) y (b) -2/3 (c) 3 b Let h = -320 + 289.8. Let v = -31.2 - h. Which is the third biggest value? (a) 2/15 (b) v (c) -0.2 b Let k = 0.25 - -0.05. Let n = 0.041241 - -0.068759. Which is the third smallest value? (a) n (b) 0.2 (c) k c Suppose 46 = 3*s - 89. Suppose 4*m + s = 3*i, -2*m + 5*m + 12 = -5*i. Let o be (-2)/m + 0 - (-68)/180. What is the smallest value in -0.2, 0.4, -3, o? -3 Suppose 5*f + d + 122 - 139 = 0, -f = d - 5. What is the biggest value in f, -0.07, 5? 5 Let p(w) = -7*w + 23. Let q be p(7). Let d be 4/q - (-1696)/208. Suppose -2*o = -4*o, 0 = n + o + 5. Which is the second biggest value? (a) n (b) d (c) 4 c Let w = 42.061 + -0.061. Let y = 2127.83 - 2128.03. Which is the fourth biggest value? (a) -2/5 (b) y (c) -3 (d) w c Let h = 1824 - 1824.5. Which is the third biggest value? (a) -4 (b) h (c) -0.29 (d) -18 a Let l(u) = -37*u + 554. Let s be l(15). What is the biggest value in 3, -1/7, 5, s? 5 Let v = -0.49657 - 0.00343. Which is the fourth biggest value? (a) -0.1 (b) -2/11 (c) 0.6 (d) -4 (e) v e Let i = -35 + 35.025. Let s = 1.235 + 0.165. Let g = -5.4 + s. Which is the third biggest value? (a) -1/3 (b) i (c) g c Suppose 370 = 13*d - 3*d + 330. What is the third smallest value in d, 1/9, -3/7, 0.1, -0.05? 0.1 Let t be ((-3)/(-18))/(6/(-16)). Let k = t - -38/45. Let z(u) = -u**2 - 6*u - 3. Let h be z(-5). Which is the biggest value? (a) h (b) 4 (c) k b Suppose -2*o + 4 - 2 = 0. Let n = o - 7/4. Let s be 1 + -2 - 10/(-6). What is the second biggest value in 3/7, 1, s, n? s Let u = -41951.231 - -42522.8. Let w = -572 + u. Let d = -0.069 + w. What is the second biggest value in 4, 0.1, 3/2, d? 3/2 Let r = 0.2 - 0.2. Let b = 2642 - 2641. What is the second biggest value in b, -30, r? r Let z = 0.025 - 0.293. Let n = z - -0.568. Which is the third biggest value? (a) 0 (b) -4/5 (c) n b Let y = -1655.67 - -1687. Let w = 1.33 - y. Which is the biggest value? (a) w (b) 1 (c) -0.4 b Let h = 788 - 788.02. Which is the biggest value? (a) 0 (b) -1/5 (c) h (d) 1 d Let c = -7.1 - -3.9. Let u = c + 2.2. Let m be (2 + 8/(-3))*(-117)/(-26). What is the second smallest value in m, -0.3, u? u Let t be (-14)/40 + ((-48)/(-30))/(-4). Let u be (1 - 5/3)*24/(-56). Which is the biggest value? (a) 0.5 (b) t (c) u a Let u = -444 + 248. Let g be (-10)/(-4)*(u/385)/7. Which is the second biggest value? (a) g (b) -5 (c) -11 (d) 1 a Let i = 4536 + -22676/5. What is the third smallest value in 2/3, -5, 138, i? i Suppose -23*x = -238 + 583. Let d be (-46)/(-1 - -1 - 1). Let h be d/(-14) + 5/((-25)/x). What is the smallest value in 4, -1, h? -1 Suppose 0 + 5 = f. Let y be 8*-6*(-50)/(-240). Let x = y + f. Which is the second biggest value? (a) 5 (b) -5/2 (c) x (d) -2 d Let g = 579 + -579. Let z = -69 - -63. Let o = 1.3 + -2.3. Which is the third smallest value? (a) 4 (b) o (c) z (d) g d Let w = 49 + -44. Suppose 3*t = -4*d + 349, w*d = -3*t + 232 + 208. Let f = 85 - d. What is the smallest value in -2, f, -0.2? f Let z = 4069/12 + -1018/3. What is the fifth biggest value in -11, 4, 19, z, 5? -11 Let f = 0.72866 - 0.00866. What is the third biggest value in 4, -0.08, f? -0.08 Let o = -8 - -8. Let p = -0.44807 - -0.04807. Which is the second smallest value? (a) p (b) o (c) -0.05 c Let n = -6926 - -6921. What is the second smallest value in 0, 1/2, -2, -0.7, n? -2 Let j = -172 + 1031/6. Let p = -2102.007 - -2101. Let s = p + 0.007. Which is the second biggest value? (a) -0.3 (b) 0.2 (c) s (d) j d Let m = -3887/4 - -972. Which is the third biggest value? (a) 1.8 (b) -1/5 (c) 1/5 (d) m c Suppose 5*r + 4 = 4*a - 2, 0 = a + 3*r + 7. Let t = -15 + 15.152. Let j = 0.052 - t. What is the smallest value in j, 1/10, a? a Let w = -11514 + 11440. Which is the third biggest value? (a) w (b) 0.06 (c) 1/3 (d) -2/9 d Let o be (10/(-102)*(-666)/555)/(-1). Let f = -50.8 + 65. Let w = f - 0.2. Which is the second smallest value? (a) o (b) 4 (c) w b Let f = 5.7 - 6. Let y = f - -0.26. Let o = -7292222/5 + 1458444. Which is the third biggest value? (a) 3/5 (b) y (c) o (d) 2/17 b Let p = 148.1 - 155. Let o = p - -7. Let v = 874 - 874.03. What is the third smallest value in o, v, -0.1? o Let v = 103.152 - 103. Let m = -2.848 - v. What is the second smallest value in 0.4, m, -1, -4/5? -1 Let a = 763 + -868.5. Let f = a + 106. What is the second smallest value in -1, f, 0.76? f Let g be (-16)/18 - (129/(-43))/((-9)/(-2)). What is the second biggest value in 86, g, 1/4, -3, -2/11? 1/4 Let y be 156/(-624) + 2/72. Let d = -1.11 - -0.81. What is the third smallest value in d, y, 6, 2? 2 Let f = -6.419 + 4.419. Which is the second biggest value? (a) 4/7 (b) f (c) -196 b Let z = 559 + -559.0445. Let n = -67.0445 - z. What is the third biggest value in n, 0.1, -2? n Let q = 12 - 9.3. Let w = q - 4.7. Let j = 4.5 + -4.6. Which is the second biggest value? (a) w (b) 0 (c) j (d) -0.2 c Let u = -6 + 6.3. Let k = -0.31442 + -0.18558. Which is the second biggest value? (a) -2 (b) 4 (c) u (d) k c Let b = -22379 + 179031/8. Let q = -47.7 + 413.7. What is the third smallest value in -0.5, q, b? q Let y = 3.46 - 17.46. Let n = 6 - 5.6. What is the smallest value in n, -3, y? y Let k = 18754 - 18747. What is the smallest value in -4, 276, 1/2, 0, k? -4 Let z = -31 - -36. Suppose 2*p = -3*x + p - 35, -3*p + 77 = -z*x. Let w be (-39)/120 + 7/56. What is the second smallest value in 3, x, w? w Let f = 3 + -4. Suppose 4*v + 883 = 3*u, -1174 = -4*u + 5*v - 3*v. Let i = u - 6155/21. Which is the second biggest value? (a) i (b) -0.4 (c) f b Let f = -40.87 + 40.97. What is the biggest value in -17, 2, -5/6, -7, f? 2 Let k = -176412/7 + 25202. Which is the second smallest value? (a) 1/11 (b) k (c) -4 (d) -1/14 (e) -42 c Let b = 5657 - 5657.15. What is the third biggest value in b, -4, 1, 0.3? b Let n = -12977/3 - -4326. Which is the second smallest value? (a) -0.3 (b) 3 (c) -10/117 (d) n c Let q = -439 + 7461/17. Let m(p) = -p + 45. Let o be m(45). Let y = -881/195 - -57/13. Which is the third smallest value? (a) q (b) -4/5 (c) o (d) y a Let i = 78 + -236/3. Let l = -27.649 + 30.649. What is the second smallest value in l, i, 8, -4? i Let w = -5 + 8. Let p = -2.0808 + 0.0808. Suppose -8 = -2*x, 0 = -3*c - x - x + 35. What is the third biggest value in p, c, w, 0.2? 0.2 Let p = -1715 - -5152/3. Which is the fourth smallest value? (a) p (b) 11 (c) -1/3 (d) -0.3 b Let o = 1380.9 - 1314.9. What is the th
{ "pile_set_name": "DM Mathematics" }
4 Express 4*a - 3*a - 2*a**2 - 23*a**3 + 311*a**4 - 310*a**4 in the form c*a**4 + h*a**2 + q + b*a + z*a**3 and give h. -2 Express -31*r**2 - r + 5*r + 4*r - 6*r + 11*r**2 in the form d*r + z + v*r**2 and give v. -20 Express 7*d - 11 - d**3 + 2*d**4 + 3*d**2 - 3*d**4 + 8 - 5*d - 5*d**4 in the form l*d + f*d**2 + u*d**4 + o*d**3 + t and give l. 2 Rearrange (-12403*l + 135*l**2 + 12403*l)*(-4*l**2 + 0*l**2 + 6*l**2) to z*l + k*l**4 + w*l**3 + p + c*l**2 and give k. 270 Express -116*g + 511*g + 185*g in the form k*g + j and give k. 580 Express (-19*u**3 + 24*u**3 + 55*u**3)*(16*u + 0*u - 3*u) - u**4 + 3*u**4 - 4*u**4 as p + j*u**4 + d*u + v*u**2 + q*u**3 and give j. 778 Express (232 + 261 + 338 - 47)*(-s + 6*s + 0*s) + s + s - s + 2*s - 2*s - s + (4 + 0 - 5)*(0 + 0 + s) + 0*s - s + 0*s in the form a + v*s and give v. 3918 Rearrange (-3 + a + 3)*(-10 + 46 + 32 - 1 + 1 - 1 + (1 + 1 + 0)*(-2 - 3 + 3)) to z*a + n and give z. 63 Express 45175*v**3 + 2*v**4 - 45175*v**3 + 65 + (-v**2 + v**2 - 2*v**2)*(2*v**2 - v**2 - 3*v**2) as w + x*v**2 + j*v**4 + t*v + b*v**3 and give j. 6 Rearrange -2*n**2 + 0*n**4 + 17*n**3 + 5*n**4 - 2 - 20*n**3 - 4*n**4 to v + l*n**2 + f*n**4 + j*n**3 + p*n and give j. -3 Rearrange 2364*z**3 - 2332*z**3 - 3*z**2 + 7*z - z to the form l + k*z + p*z**3 + v*z**2 and give v. -3 Express 9*g**2 + 3135*g - 3135*g - 2 as q + v*g + b*g**2 and give b. 9 Express ((-2 + 0 + 3)*(3*f - 2*f + f) - 3*f - 7*f + 9*f)*(-8*f - 9*f**2 + 6*f**2 - 2*f) in the form o*f**2 + d*f + j*f**3 + a and give o. -10 Express (-5*p**2 + 8146*p - 8146*p)*(-4*p + 10*p - 2*p) as z*p**2 + d + f*p + u*p**3 and give u. -20 Rearrange -72 + 29*m + 113 - 37 to the form r + v*m and give v. 29 Express -6 - c**3 + 233666*c**4 - 2*c**2 + 2*c - 233668*c**4 - 6*c + 0*c**3 in the form k + d*c**4 + u*c + h*c**2 + y*c**3 and give d. -2 Rearrange (z - 7*z - 3*z)*(356 + 602 + 414 - 306) to l + d*z and give d. -9594 Express -11*z**2 + 2 + 3*z**2 + 30*z**3 + 8*z**2 + z as w*z**3 + u*z + f + r*z**2 and give w. 30 Express (1 - 1 + y)*(-3*y - 40*y - 171*y) + 0*y**2 + 3*y**2 - y**2 as x*y**2 + a + h*y and give x. -212 Rearrange 50*a - 16*a - 3*a + 41*a to the form z + l*a and give l. 72 Express (3*m - 5*m + 2*m**2 + 5*m**2)*(9*m + 43 - 8*m + 2*m)*(4 - 4 + m) as a*m + g + q*m**3 + v*m**4 + r*m**2 and give r. -86 Express w**4 + 1 + 9*w**4 + w + 3403*w**3 - 3402*w**3 + w**2 in the form i*w**3 + h*w + u + j*w**2 + p*w**4 and give i. 1 Express (-l + 0*l + 0*l)*(178*l + 257918 - 257918 + (l + 3 - 3)*(1 - 4 + 5)) as x*l + d*l**2 + z and give d. -180 Rearrange (-h**2 - h**3 - 10*h**3 + 5*h**3)*(-19 + 1 - 1) - h**3 + 5*h**3 - h**3 to q*h**3 + j*h**2 + w + n*h and give q. 117 Rearrange -4 + o**2 + 0*o**2 - 18*o**2 + 7*o**2 - 4 to the form r*o**2 + a + j*o and give r. -10 Rearrange (-16 + 5*a + 16)*(4*a - 5*a - 2*a)*(-5 + a + 5 + 5 - a - 5 + (1 + 1 - 1)*(-3*a + 0*a + a) - a + 0*a + 2*a) to p*a**3 + l*a**2 + g + o*a and give o. 0 Express -17*g + 2*g**4 - 2 + 29*g + g**2 + 2*g**3 - 10*g as r*g + s*g**2 + m*g**3 + p*g**4 + y and give y. -2 Express (2*x**3 + 40*x**2 - 77*x**2 + 40*x**2 - 2)*(-4 - 4 - 3) as y*x + b*x**3 + z*x**2 + d and give d. 22 Express 13*b**3 - 69*b**3 + 18*b**3 + (b**2 + 5*b - 5*b)*(-2*b - 2 + 2) as f*b**2 + o*b**3 + y + s*b and give o. -40 Rearrange -5*u**2 - 51*u**2 + 2*u - 6*u**2 - 4*u**2 to c + r*u + s*u**2 and give r. 2 Express 63*s - 86 + 91 + 20*s + (2 + 1 - 1)*(-6*s + 4*s + 3*s) + 2*s + 0*s - s as x*s + m and give x. 86 Express -34*p**2 + 3*p**2 - 3 + 61*p**2 - 2*p + 0*p in the form f*p**2 + x + s*p and give x. -3 Rearrange -87 + 87 - 146*o - 58*o to the form a*o + x and give a. -204 Express -2*g**3 - 4*g**4 + 2*g**3 + (-6*g**2 - 11 + 11)*(-2 - 4*g**2 + 10 + 7*g**2) as q*g**2 + a*g**4 + k + v*g + b*g**3 and give q. -48 Rearrange (-20 - 83 - 1)*(-8 + 8 - 4)*(-3*i + i + i) to h + y*i and give y. -416 Express (-q - 3*q + 0*q)*(-q + 0 + 0)*(-59 + 194 - 125 - 214) in the form x + b*q + k*q**2 and give k. -816 Rearrange 4 - 4398*o - 4 + 4437*o to the form v*o + d and give v. 39 Express (-1 + 6 - 1 - 1)*(-877*x + 2439 - 2439) as c*x + d and give c. -2631 Express (0 - 6*h**2 + 0)*(4*h - 7*h + 561*h**2 + 3*h) in the form y*h + f*h**3 + u*h**2 + b + z*h**4 and give z. -3366 Rearrange -15*k + 41*k + 1 - 18*k + (4 - 3 + 0)*(-5*k + 3*k + 3*k) to b + y*k and give b. 1 Express 16*k**4 + 7*k**4 - 24*k**2 - 21*k**4 + 4*k**2 - 5*k as b*k**3 + t*k**2 + r*k + j*k**4 + z and give t. -20 Rearrange -1 - 13691*y + 13688*y + 2*y**2 + 7 to the form b + o*y + r*y**2 and give b. 6 Express 3*u**2 - 9*u + 2*u - 2*u**2 + 39*u + 2*u**4 as p*u**3 + d*u + t*u**4 + h + q*u**2 and give q. 1 Rearrange (0*y**3 - y**3 + 2*y**3)*(3 - 3 + 3*y) + 158*y - 2*y**3 - 82*y - 80*y + y**4 to the form t*y**2 + m*y**3 + h*y**4 + u*y + k and give u. -4 Rearrange 24*c**2 - 50*c**2 + 28*c**2 + 0*c**2 + 4*c**2 - 2*c**2 + (3*c + 27 - 27)*(3*c - 5*c + 3*c) to v*c + j*c**2 + q and give j. 7 Express 11*t**3 - 7*t**3 + 1752*t - 1732*t as x*t**3 + q*t + c + h*t**2 and give c. 0 Rearrange 12*g - 129*g**2 - 27*g + 15*g to z + c*g**2 + f*g and give c. -129 Rearrange (-93*v - 89*v - 96*v)*(0 + 5 - 3 + (-1 + 6 - 3)*(-1 + 0 + 0) + 2 - 1 + 1) - 1 + 1 - 2*v to p + b*v and give b. -558 Rearrange (-2*o + 0*o + o)*(4 - 4 + 21) - o + o - o + (-8*o + 5*o - 2*o)*(-2 + 3 - 7) to q*o + h and give q. 8 Express -2*c**3 + 2*c + 4*c**3 - 3*c**3 + 5*c**3 - 5*c**3 + 2*c**3 + (3 + 0 + 0)*(0*c**3 + 5*c**3 - 4*c**3) as l*c + b + v*c**3 + g*c**2 and give l. 2 Rearrange (-29*l + 5*l**2 + 29*l)*(0*l + 12*l + 11*l - 35*l) to the form p*l**3 + k*l + y*l**2 + h and give p. -60 Express 26*d - 27*d + d + 226*d**2 in the form g + z*d**2 + o*d and give z. 226 Express (3*m - m - m)*(-2*m - m + 4*m) + 6*m**2 + 8*m - 8*m - 4*m**2 - m**2 + m**2 - 2*m**2 + m + 5 - 5 as s*m**2 + t + q*m and give q. 1 Express (-6*o**2 + 23*o**2 + 19*o**2 + (0*o - 5*o + 4*o)*(4 - 2*o - 4))*(-4*o - 13*o + 17*o - 17*o**2) as n*o**4 + q*o**3 + d*o**2 + c + b*o and give n. -646 Rearrange -60*s + 189*s - 72*s to i*s + r and give i. 57 Express (3*s**2 + 0 + 0)*(8*s**2 + 6*s**2 - 4*s**2) as v*s**4 + z*s + n + d*s**3 + u*s**2 and give v. 30 Rearrange -46 + 21*r**4 + 46 + (7 + 0 - 8)*(-2*r**4 + 3*r**4 + r**4) to t + k*r**3 + w*r**2 + p*r**4 + n*r and give p. 19 Rearrange 24*k - 186*k + 124*k**2 + 1 - 121*k**2 to the form a*k + l + c*k**2 and give a. -162 Rearrange 727 - 364 + 28*l**3 + 2*l - 364 - 2*l to the form t*l**2 + d*l**3 + c*l + z and give d. 28 Express 2*m**2 - 2*m**2 + 2*m**2 + (m + m - m)*(-11*m - 2*m + m) + 2*m**2 + 1 - 1 in the form t*m**2 + s*m + d and give t. -8 Express (-3 + 2*s + 3)*(-2238 - 2353 + 1790) in the form a*s + m and give a. -5602 Express (-400 + 79 + 192)*(x**3 - 1 + 1 + x**3 - x**3 + 3*x**3 + (-2*x + 3*x**2 + 2*x)*(-x + 3*x + x)) as s*x**3 + k*x**2 + m + q*x and give m. 0 Express -347*m**2 + 11 - 11 + 0 in the form c*m + r*m**2 + j and give r. -347 Express -157*y**4 - 13*y**3 + 3*y - 4*y**2 + 1 + 3*y**2 + 155*y**4 in the form a*y + s*y**4 + m*y**3 + q*y**2 + b and give b. 1 Express 25*p**2 - 5 + 25*p**2 + 2 - 12*p**2 in the form m + r*p + b*p**2 and give b. 38 Rearrange (7 - 4*i**2 - 7)*(-20 - 4 - 6)*(2 + 1 + 0)*(-14*i - 2 + 0 + 12*i) to b + r*i**2 + s*i + f*i**3 and give r. -720 Rearrange j**2 - 9*j**2 + 17 + 2*j**2 + 7*j**2 + 3*j**2 to s*j + f*j**2 + q and give f. 4 Rearrange 103*h**2 - 418*h**2 + 2 - 44*h + 44*h to the form d + y*h**2 + t*h and give d. 2 Rearrange 6*i**4 - i**4 - 3*i**4 + (3*i**3 - 2*i**3 + i**3)*(-924*i - 820*i - 975*i) to the form z + y*i**3 + m*i**2 + l*i**4 + c*i and give l. -5436 Rearrange -84*n**2 + 141*n**2 + 6*n + 39*n**2 to the form l*n + v*n**2 + x and give v. 96 Express (-4*c + 6*c - 4*c)*(-1 - 3 + 6) + 47 - 23 - 35 - 274*c as v*c + q and give q. -11 Rearrange -42*x**2 + 10*x**3 - 11*x + 39*x**2 + 29*x - 21*x to s*x + z*x**3 + q*x**2 + b and give s. -3 Express -20*l**3 + 16*l**3 + 5*l**3 + 2*l**2 - 2*l - 10 as j*l**3 + k + m*l**2 + r*l and give r. -2 Rearrange 3*r**3 - 106 + r**3 - 3*r**2 + 54 + 52 - 18*r to the form i*r**2 + w*r**3 + z*r + g and give i. -3 Rearrange (u + 4*u - 3*u)*(-50 - 171 + 51)*(-7 - 6 + 5) to g*u + i and give g. 2720 Rearrange (294*d + 45 + 238*d - 513*d)*(0*d**2 + 0*d**2 - 2*d**3) to r*d + y*d**2 + p + b*d**3 + c*d
{ "pile_set_name": "DM Mathematics" }
me factors of 123864? 2, 3, 13, 397 List the prime factors of 465. 3, 5, 31 What are the prime factors of 191879? 17, 11287 What are the prime factors of 20891? 13, 1607 List the prime factors of 2286. 2, 3, 127 List the prime factors of 57398. 2, 11, 2609 What are the prime factors of 2881? 43, 67 List the prime factors of 440. 2, 5, 11 What are the prime factors of 31856? 2, 11, 181 List the prime factors of 27613. 53, 521 What are the prime factors of 108032? 2, 211 List the prime factors of 747. 3, 83 List the prime factors of 3990. 2, 3, 5, 7, 19 List the prime factors of 3645. 3, 5 What are the prime factors of 142514? 2, 71257 List the prime factors of 55. 5, 11 List the prime factors of 310. 2, 5, 31 List the prime factors of 2718. 2, 3, 151 List the prime factors of 1641. 3, 547 List the prime factors of 23940. 2, 3, 5, 7, 19 What are the prime factors of 34396? 2, 8599 What are the prime factors of 42467? 42467 List the prime factors of 5827. 5827 List the prime factors of 11666. 2, 19, 307 List the prime factors of 16851. 3, 41, 137 List the prime factors of 8315. 5, 1663 What are the prime factors of 19916? 2, 13, 383 List the prime factors of 1497. 3, 499 List the prime factors of 51184. 2, 7, 457 List the prime factors of 21584. 2, 19, 71 List the prime factors of 923. 13, 71 List the prime factors of 651. 3, 7, 31 What are the prime factors of 4674? 2, 3, 19, 41 List the prime factors of 9726. 2, 3, 1621 List the prime factors of 209. 11, 19 What are the prime factors of 6945? 3, 5, 463 What are the prime factors of 532? 2, 7, 19 What are the prime factors of 90280? 2, 5, 37, 61 What are the prime factors of 2276? 2, 569 List the prime factors of 1771. 7, 11, 23 What are the prime factors of 15302? 2, 7, 1093 List the prime factors of 2001. 3, 23, 29 List the prime factors of 38287. 38287 What are the prime factors of 49060? 2, 5, 11, 223 What are the prime factors of 170? 2, 5, 17 What are the prime factors of 127? 127 List the prime factors of 14568. 2, 3, 607 List the prime factors of 668. 2, 167 List the prime factors of 15864. 2, 3, 661 What are the prime factors of 13653? 3, 37, 41 What are the prime factors of 12888? 2, 3, 179 What are the prime factors of 7165? 5, 1433 List the prime factors of 21238. 2, 7, 37, 41 What are the prime factors of 13647? 3, 4549 What are the prime factors of 15540? 2, 3, 5, 7, 37 What are the prime factors of 45714? 2, 3, 19, 401 List the prime factors of 17361. 3, 643 List the prime factors of 4173. 3, 13, 107 What are the prime factors of 22205? 5, 4441 List the prime factors of 60137. 7, 11, 71 What are the prime factors of 3544? 2, 443 List the prime factors of 1037. 17, 61 What are the prime factors of 3099? 3, 1033 What are the prime factors of 40384? 2, 631 What are the prime factors of 10249? 37, 277 List the prime factors of 1157. 13, 89 What are the prime factors of 65114? 2, 7, 4651 What are the prime factors of 199? 199 What are the prime factors of 18222? 2, 3, 3037 List the prime factors of 11801. 11801 What are the prime factors of 1456? 2, 7, 13 List the prime factors of 1082. 2, 541 What are the prime factors of 4955? 5, 991 List the prime factors of 785. 5, 157 List the prime factors of 38301. 3, 17, 751 What are the prime factors of 3871? 7, 79 List the prime factors of 22952. 2, 19, 151 List the prime factors of 121432. 2, 43, 353 List the prime factors of 2109. 3, 19, 37 List the prime factors of 88. 2, 11 List the prime factors of 3246. 2, 3, 541 List the prime factors of 9561. 3, 3187 List the prime factors of 2234. 2, 1117 List the prime factors of 36253. 7, 5179 What are the prime factors of 2365? 5, 11, 43 What are the prime factors of 2281? 2281 List the prime factors of 3062. 2, 1531 What are the prime factors of 12452? 2, 11, 283 List the prime factors of 34669. 37, 937 List the prime factors of 10860. 2, 3, 5, 181 List the prime factors of 1844. 2, 461 What are the prime factors of 1108? 2, 277 What are the prime factors of 270? 2, 3, 5 List the prime factors of 765. 3, 5, 17 List the prime factors of 1617. 3, 7, 11 List the prime factors of 6911. 6911 What are the prime factors of 51734? 2, 25867 List the prime factors of 10154. 2, 5077 List the prime factors of 22740. 2, 3, 5, 379 What are the prime factors of 2456? 2, 307 What are the prime factors of 335? 5, 67 What are the prime factors of 1135? 5, 227 List the prime factors of 11095. 5, 7, 317 List the prime factors of 5. 5 List the prime factors of 667. 23, 29 What are the prime factors of 1529? 11, 139 What are the prime factors of 103143? 3, 34381 What are the prime factors of 331? 331 What are the prime factors of 133? 7, 19 List the prime factors of 8197. 7, 1171 List the prime factors of 48072. 2, 3, 2003 What are the prime factors of 58985? 5, 47, 251 What are the prime factors of 9389? 41, 229 What are the prime factors of 33704? 2, 11, 383 What are the prime factors of 28241? 31, 911 List the prime factors of 272. 2, 17 List the prime factors of 6649. 61, 109 What are the prime factors of 1661? 11, 151 What are the prime factors of 2482? 2, 17, 73 List the prime factors of 2665. 5, 13, 41 What are the prime factors of 6396? 2, 3, 13, 41 List the prime factors of 51536. 2, 3221 What are the prime factors of 351? 3, 13 List the prime factors of 3714. 2, 3, 619 List the prime factors of 47102. 2, 11, 2141 What are the prime factors of 7286? 2, 3643 What are the prime factors of 60342? 2, 3, 89, 113 What are the prime factors of 36186? 2, 3, 37, 163 What are the prime factors of 810? 2, 3, 5 List the prime factors of 6781. 6781 What are the prime factors of 5676? 2, 3, 11, 43 What are the prime factors of 446? 2, 223 List the prime factors of 525. 3, 5, 7 List the prime factors of 1200. 2, 3, 5 List the prime factors of 403. 13, 31 What are the prime factors of 68065? 5, 13613 What are the prime factors of 151? 151 What are the prime factors of 982? 2, 491 List the prime factors of 3426. 2, 3, 571 What are the prime factors of 12661? 11, 1151 List the prime factors of 70021. 7, 1429 What are the prime factors of 953? 953 List the prime factors of 60371. 73, 827 List the prime factors of 11825. 5, 11, 43 What are the prime factors of 4697? 7, 11, 61 What are the prime factors of 3024? 2, 3, 7 List the prime factors of 11737. 11, 97 What are the prime factors of 3372? 2, 3, 281 What are the prime factors of 1685? 5, 337 List the prime factors of 488. 2, 61 List the prime factors of 7028. 2, 7, 251 List the prime factors of 6642. 2, 3, 41 What are the prime factors of 74694? 2, 3, 59, 211 What are the prime factors of 4115? 5, 823 List the prime factors of 449. 449 What are the prime factors of 33973? 53, 641 List the prime factors of 61635. 3, 5, 7, 587 What are the prime factors of 20149? 20149 List the prime factors of 8016. 2, 3, 167 List the prime factors of 4395. 3, 5, 293 What are the prime factors of 93603? 3, 41, 761 List the prime factors of 34953. 3, 61, 191 What are the prime factors of 16903? 16903 What are the prime factors of 4285? 5, 857 What are the prime factors of 37463? 37463 What are the prime factors of 816? 2, 3, 17 List the prime factors of 3846. 2, 3, 641 What are the prime factors of 1217? 1217 List the prime factors of 33351. 3, 11117 What are the prime factors of 6212? 2, 1553 List the prime factors of 32484. 2, 3, 2707 What are the prime factors of 809? 809 What are the prime factors of 1044? 2, 3, 29 List the prime factors of 1802. 2, 17, 53 List the prime factors of 14131. 13, 1087 List the prime factors of 8621. 37, 233 List the prime factors of 652. 2, 163 List the prime factors of 9934. 2, 4967 List the prime factors of 9794. 2, 59, 83 What are the prime factors of 47497? 47497 What are the prime factors of 8625? 3, 5, 23 What are the prime factors of 2259? 3, 251 List the prime factors of 779. 19, 41 What are the prime factors of 1433? 1433 List the prime factors of 1010. 2, 5, 101 List the prime factors of 43518. 2, 3, 7253 List the prime factors of 15869. 7, 2267 What are the prime factors of 1116? 2, 3, 31 What are the prime factors of 33050? 2, 5, 661 What are the prime factors of 1635? 3, 5, 109 What are the prime factors of 1433? 1433 What are the prime facto
{ "pile_set_name": "DM Mathematics" }
he closest to 1/4? (a) 8 (b) f (c) -0.2 (d) 9 c Let o = -117 - -126. Which is the nearest to o? (a) 11 (b) 1 (c) 2/11 a Let t(h) = h**3 + 6*h**2 - 11*h - 2. Let p be t(-5). Let s = -467/6 + p. Which is the closest to 2? (a) 1/8 (b) 0.2 (c) s b Let w = -4 - -4.4. Let q = -11 + 78. Let i = q - 59. What is the closest to i in w, 1/4, 0.5? 0.5 Let n = -201 - -2611/13. Let l = 2341/11 - 213. Let y be 16 - ((-920)/(-32) + -13). What is the closest to -1 in l, y, n? l Let i = -22 - -22.22. Let d = -0.28 - i. Let c = 0 - -1. What is the closest to 2/5 in c, -1, d? c Let s = 71/5 - 14. Let u = -477 - -473. What is the closest to -2 in u, s, -1? -1 Let y = 0.078 - 12.678. Let h = 12.2 + y. Let d = 48/95 - 2/19. What is the nearest to 1 in h, -1, d? d Let v = 8752/5 - 1750. Let t = -5.5 - -5. Which is the closest to -0.1? (a) t (b) v (c) 2 a Let s = -3 - -3.1. Let y = -0.3 + s. Let p = 1058 - 1059. Which is the nearest to p? (a) 0.3 (b) -4 (c) y c Let r(s) = -3*s**2 - 4*s + 5. Let b be r(1). Let z = -4/19 + 1/95. What is the nearest to -0.1 in b, z, 0.5? z Let x = -1936 - -7745/4. Let s be 6/(-4)*(-1)/6. What is the nearest to s in x, 5, 0.1? x Let n be (-34)/12 + 5/2. Let j = -0.02 + -0.08. Which is the nearest to n? (a) 0.6 (b) 4 (c) j c Let v = 23 - 29. Let w = v + 11. What is the nearest to -1/4 in w, 0.4, -1/3? -1/3 Let f = -1121 + 1120. Which is the nearest to -1/3? (a) 2 (b) 14 (c) f c Let f = 0.4 + -0.3. Let g = 0.466 - -0.034. Suppose 2*u + 9 = 3*l - 0*l, 4*l = u + 7. Which is the nearest to 0? (a) f (b) u (c) g a Let c = -234 + 241. What is the closest to 20 in -1/9, 0, c? c Let i = -4.3 - -0.3. Let k = i - 1. What is the nearest to -3 in 3, -2/25, k? k Let z = -0.1424 + 0.1824. Which is the closest to z? (a) 0 (b) 2 (c) 2/5 (d) -2 a Let m be (-9 - (-390)/36) + (-4)/2. What is the closest to -0.1 in 0.1, m, 0.7? m Suppose 5*o - 87*x + 27 = -85*x, 5*o = -x - 39. Which is the closest to 0? (a) o (b) 2 (c) -0.08 c Suppose 3*z - 5*u - 9 = 0, 2*z + 2*u = 7 + 15. Which is the closest to z? (a) 5 (b) 0 (c) -2 (d) -0.5 a Let y(o) = -o**3 - 5*o**2 - 6*o - 8. Let l be y(-4). Let x = -5 - -7. Let v be (3/x)/(1/(-1)). Which is the nearest to l? (a) -4 (b) v (c) -1 c Suppose 5*c + 1 = -9. Let k be c/3*((-26)/16 - -2). What is the nearest to 0 in 0.2, k, -3? 0.2 Let j = 7 - 6.9. Let p = -15 + 12.7. Let h = -7.3 - p. Which is the nearest to j? (a) -0.05 (b) h (c) 2 a Let b = -0.485 - -0.525. What is the nearest to b in -4, -5, 1? 1 Suppose 6 = -b + 3, 2*d + 5 = -b. Let y be (12/120)/(d/2). What is the nearest to 2/3 in -4, y, -5/2? y Suppose 0 = -5*j - z - 14, -j + 3*j = -3*z - 16. Let s = -4/117 + 10/39. What is the closest to 0 in s, j, -1/6? -1/6 Let n = -0.71 + -1.29. Which is the closest to 0? (a) 4/3 (b) -0.6 (c) n (d) 3 b Suppose -8 = -0*s - 2*s. Let f be (12/30)/((7/(-14))/((-2)/(-4))). Which is the closest to f? (a) 18 (b) s (c) 3 c Let i = -43 - -40.1. Let l = -20.9 - i. Let w = -14 - l. Which is the closest to 0? (a) -2 (b) w (c) 3 a Let j be 11/308*1*-2*2. What is the closest to 1.6 in -1, -0.02, j? -0.02 Let d = 62 + -556/9. Let t = -61.81 + 58.81. Which is the closest to d? (a) -5 (b) t (c) 0.4 c Let a = 112.3 - 118. Let p = -6 - 0. Let g = p - a. What is the nearest to -0.1 in 3, g, 0.3? g Let p = -8 - -38/5. Let r = 0.047 - -0.153. Let u = 0.6 - r. What is the closest to -1 in p, 0.3, u? p Let f be (3/(-5))/(-2 + 1). Which is the closest to 0? (a) f (b) -0.1 (c) 1 b Let x = 289 + -1448/5. Which is the nearest to 0.1? (a) 1 (b) x (c) 0 c Let l = -2/605 + 1244/10285. What is the nearest to -0.1 in l, 4, 5? l Let t = -380/2301 + 2/177. Suppose 0 = 3*u - 2*u - 4. Let o be (-1)/(2/(-14)) - 153/21. Which is the closest to 1? (a) u (b) o (c) t c Let l = 0.31 - 0.44. Let h = -3.87 + l. Let f = -9 - -4. What is the closest to 0 in h, -2, f? -2 Let o = 104.3 + -141. Let h = -7.7 - o. What is the closest to h in 1/4, 2, -5? 2 Let l be (-3444)/17160 + (-4)/26. Let n = l + -1/22. Which is the closest to 2/5? (a) 3 (b) n (c) 2 b Let p = -0.049 - 0.151. Let m = -14.4 + 14. Which is the nearest to 0? (a) m (b) p (c) -5 b Let l = 3.7 + -2.1. Let d = l - 1.7. What is the closest to d in -0.2, -0.4, -2/9? -0.2 Let p = -24.7 + 24.2. What is the nearest to -2/7 in p, 14, 0.5? p Suppose s - 7 = -0*s. Suppose 3*z + 2*z + s = -2*f, 5*z = 2*f - 3. Which is the closest to 1/3? (a) -5 (b) z (c) 3/8 c Suppose -2*s + 2 + 8 = 0. Let j be s/20*(0 + 2). Let y = 8 + -7.5. Which is the closest to j? (a) 1 (b) y (c) -2 b Let j = 0.3 + -0.2. Let w = -0.10787 - 0.09213. Which is the closest to 3? (a) 1/6 (b) j (c) w a Suppose -4*d = -3*h + 9, 1 = -4*h - 2*d + 13. Which is the nearest to -1? (a) 0.4 (b) h (c) 5 a Let s = -17 - -67/4. Let x = -21.2 + 20.7. What is the nearest to s in x, -1/7, 5? -1/7 Let m = 128/497 + 2/71. What is the nearest to -1 in 0.8, m, 0.4? m Let x = -62 - -54.1. Let i = -518 - -526. Let z = i + x. Which is the nearest to z? (a) 1 (b) -2 (c) 2 a Let f be 3 + (35/(-14) - 1). Which is the closest to f? (a) -2 (b) -7 (c) 2/7 c Let q = -0.2 - 0.3. Let m be (-6)/(-40)*((-4)/10 - (-1118)/1170). Let i(g) = -g**3 - g**2 + 1. Let w be i(1). What is the nearest to 0 in w, m, q? m Let p = -287 - -286. Which is the nearest to 0.1? (a) -4 (b) -0.4 (c) p b Let i = 0.0987 + -0.2487. Which is the closest to 1? (a) -4 (b) i (c) -1/7 (d) 3 c Suppose m - 3*v + 7 + 1 = 0, 3*m = -4*v + 2. Let l = 5.8 + 69.2. Let p = l + -73. Which is the closest to m? (a) 0 (b) 1/2 (c) p a Let r = -214 + 219. Let k(h) = -h - 4. Let g be k(-5). Which is the nearest to g? (a) -5 (b) -1/6 (c) r b Let m = -3.27 - 1.73. Which is the closest to 0? (a) m (b) -4 (c) -6/5 c Let h(n) = -9*n - 27. Let v be h(-3). Which is the nearest to 1? (a) 4 (b) 0.3 (c) v b Let s = -4.3 + 4. Let k = -0.43 + 0.83. Suppose 0 = -5*x - 4*q + 10, 4*x - 4*q + 45 = 17. Which is the nearest to x? (a) k (b) s (c) 0.2 b Let k = -66542/279 + -470/93. Let x(m) = -m**3 + 2*m**2 - 2*m + 15. Let d be x(7). Let n = d - k. What is the closest to 0 in n, 4, 1/2? n Let z = -64 + 64. Which is the nearest to -0.1? (a) z (b) -1/6 (c) 33 b Let o = -333 + 330. What is the closest to -0.1 in o, -12, 1, -0.3? -0.3 Let k = 22 + -21. Let v = -1.2 + 1.3. Which is the closest to v? (a) 3 (b) k (c) -0.1 c Let n = 0.843 - -0.157. What is the closest to -1/2 in 5, n, 0.01, -0.2? -0.2 Let b = 1.57 + 107.43. Let a = b + -108. What is the closest to a in 5, 11, -5? 5 Let g be -5 - (3 + -8 + 1). Let l be (g + 8/12)*10. Let o = 2 + l. Which is the nearest to 0? (a) 2/3 (b) 4 (c) o a Suppose 4*f = n + 27, 3*n - 32 + 9 = -f. Let r be f/150 - 42/315. Which is the closest to r? (a) -0.2 (b) -1 (c) 1/3 a Let p = 0.4 - 2.6. Let o = 705 + -704.9. What is the nearest to o in 4, 6/11, p? 6/11 Suppose -3*p + 7 = -b, -2*b - 3*b + 10 = 0. Let h be 8/510 - 150/1125. Let s = -2.7 + -0.3. What is the nearest to 2 in p, s, h? p Let v = -0.1 - -0.1. Let x = v + -0.1. Suppose -3*m - 2*l + 32 - 4 = 0, 2*m + 8 = 2*l. Which is the nearest to x? (a) -1 (b) m (c) 2/9 c Let z = -26/17 + 216/119. What is the closest to -2/9 in -3, -1/4, 0.4, z? -1/4 Suppose -84*y - 36 = -90*y. Let q be (-11)/4 + y/(-3) + 5. Which is the closest to q? (a) -11 (b) -0.3 (c) 2/5 c Let v = -48 - -50. Let l be 0/((3 + 1)/v). Which is the closest to l? (a) -2 (b) 0.4 (c) 0 c Let i = -0.75 - 3.25. Let q = 13 + -13.07. Let y = -2.93 + q. Which is the closest to 2? (a) i (b) -2 (c) y b Let o = -596 + 591. Which is the closest to -2/5? (a) o (b) -3/4 (c) -0.1 (d) -2/7 d Suppose 21 = -p + 16. What is the closest to -0.1 in -0.5, p, -0.3? -0.3 Let p be (4 + -1 + 1)*8/32. Suppose 0 = 5*m - 0*j - 2*j + 4, 5*m + 3*j - 6 = 0. Let l = 2 + -1. What is the closest to l in m, -0.1, p? p Let s = 5.973 - -0.027. What is the closest to s in -0.07, 0.2, -2? 0.2 Let p = 763.8 + -764. What is the closest to 0.1 in 1, -2, p, 1/3? 1/3 Suppose -3*g + 27 - 7 = -2*n, 2*n = -5*g + 12. Suppose -w + 47 = 5*i - 1, g*i = -3*w + 34. Let u = i - 8. What is the closest to -0.1 in u, 1/4, 0.2? 0.2 Let k = -1 + 1.2. Let m = 7.86 - 7.66. Which is the closest to m? (a) k (b) 0.3 (c) 4 a Let y = 3
{ "pile_set_name": "DM Mathematics" }
(c). What is the second derivative of q(o) wrt o? -12*o Suppose 4*c + 0*s = -s + 28, 0 = -5*s + 20. Find the third derivative of 3*a**2 + 3*a**5 - 3*a**6 + a**c - 3*a**5 wrt a. -240*a**3 Let h(n) be the third derivative of n**8/48 - n**4/6 + 4*n**2. What is the second derivative of h(f) wrt f? 140*f**3 Let a(p) = 176*p - 88. Let o(n) = 2*n - 1. Let x(h) = a(h) - 66*o(h). What is the first derivative of x(t) wrt t? 44 Let t(v) be the third derivative of v**7/210 - 7*v**6/60 - 7*v**5/60 - 8*v**2 - v. Find the third derivative of t(g) wrt g. 24*g - 84 Let l(t) be the first derivative of 5*t**6/3 + 5*t**2/2 - 3*t - 25. What is the second derivative of l(q) wrt q? 200*q**3 Let c(h) be the first derivative of -h**2 + 1/3*h**3 + 0*h + 4. Find the second derivative of c(j) wrt j. 2 Let g(w) = w**2 - 5*w + 4. Let f be g(5). What is the third derivative of 10*a**2 - f*a**2 - 9*a**3 + a**2 + 7*a**3 wrt a? -12 Suppose 2*m - 6 = -4*v, -v - 12 = -0*m - 4*m. Suppose 2*p + p = v. What is the first derivative of -g - 2*g**4 + p + 2 + g wrt g? -8*g**3 Suppose 4 + 4 = -4*x. Let z = x + 6. Find the third derivative of 1 - z*q**2 + 2*q**3 + 7*q**2 - 1 wrt q. 12 Let o(m) be the first derivative of -m**3/3 + m + 6. Differentiate o(v) with respect to v. -2*v Let a(b) be the third derivative of 31*b**7/210 - 7*b**4/6 - 5*b**2. What is the second derivative of a(v) wrt v? 372*v**2 Suppose -4*f = 8, -4*f - 5 = -2*r + 9. Find the second derivative of 2*w**r - 6*w**3 - w + 6*w**3 wrt w. 12*w Let h(u) be the second derivative of 0*u**5 - 4*u - 2/3*u**4 + 0*u**3 + 0*u**2 + 4/21*u**7 + 0*u**6 + 0. Find the third derivative of h(j) wrt j. 480*j**2 Let v(o) be the second derivative of -11*o**7/42 - 2*o**3/3 + 13*o. What is the second derivative of v(j) wrt j? -220*j**3 Let r(z) = z**4 + z**3 - 1. Let s = -10 + 5. Let t(a) = 4*a**4 + 5*a**3 - 4*a - 5. Let h(y) = s*r(y) + t(y). Find the second derivative of h(x) wrt x. -12*x**2 Let g(l) be the third derivative of -l**6/24 + l**5/12 + 9*l**2. Find the third derivative of g(a) wrt a. -30 Let b(m) be the second derivative of -34*m**3/3 - 19*m**2 - 64*m. What is the first derivative of b(j) wrt j? -68 Let c(y) = 4*y**3 - 6*y**2 + 20*y - 6. Let o(b) = -b**2 - b - 1. Let z(n) = c(n) - 6*o(n). Find the second derivative of z(s) wrt s. 24*s Let d(x) = -x. Let c(i) = i**2 + i. Let k(p) = -3*c(p) - 4*d(p). Find the second derivative of k(a) wrt a. -6 Suppose -5*v + 17 = 2. Suppose 0 = -v*m + 5*k - 12, 0 = -5*m + k - 2*k + 8. Find the first derivative of j - 2 + 0 + m wrt j. 1 Suppose -2*z + 3*z = 5*p + 6, -3*z = 3*p - 18. Suppose -z = -4*d + 2. Find the third derivative of d*m - 22*m**2 + 18*m**2 + 3*m**3 - 2*m wrt m. 18 Let z(r) = r**2 - 1. Let y be z(-2). What is the second derivative of 3*h**3 + h**y - h - 2*h**3 wrt h? 12*h Let v = -5 + 27/5. Let w(f) be the first derivative of 0*f**4 + 0*f**3 + 0*f**2 - v*f**5 + 2 - 4*f. Find the first derivative of w(m) wrt m. -8*m**3 Let l(h) be the first derivative of -2*h**6/15 + h**4/3 - 4*h + 1. Let k(d) be the first derivative of l(d). What is the third derivative of k(i) wrt i? -96*i Suppose 14 = h + 3*s - 3, -5*s + 65 = 5*h. Suppose -4*b - 3 + h = 0. What is the third derivative of v**4 - 3*v**2 + b - 3 + 1 wrt v? 24*v Let i(y) be the third derivative of -17*y**6/120 - 13*y**5/60 - 7*y**2. Find the third derivative of i(u) wrt u. -102 Let x(n) = -n**2 - 25*n + 3. Let c(d) = 2*d**2 + 51*d - 7. Let l(o) = 3*c(o) + 7*x(o). What is the second derivative of l(a) wrt a? -2 Suppose 0*s + 2*s = 0. Find the second derivative of -4*x - 4*x - 6*x**2 + 3*x + s*x wrt x. -12 Let k(g) be the second derivative of g**7/14 - g**4/3 - 12*g. What is the third derivative of k(m) wrt m? 180*m**2 Let x(y) be the second derivative of -5*y**7/7 - 49*y**4/12 - 27*y. Find the third derivative of x(u) wrt u. -1800*u**2 Let l(n) = -n**2 + n - 1. Let g(v) = 16*v**2 + 8*v + 6. Let f(i) = g(i) + 6*l(i). What is the second derivative of f(z) wrt z? 20 What is the third derivative of 21*y**6 - 16*y**6 - 5*y**2 - 10*y**6 - 3*y**2 wrt y? -600*y**3 Let b(j) = -j**3 - 2*j**2 - 2*j - 2. Let n be b(-2). What is the third derivative of w**6 + 0*w**n + 0*w**6 + 2*w**6 + 2*w**2 wrt w? 360*w**3 What is the third derivative of 11*t**5 - 5*t**3 - 7*t**3 - 4*t**2 + 12*t**3 wrt t? 660*t**2 What is the derivative of -18*n - 4 + 19*n + 6 wrt n? 1 Let r = 9 + -4. Differentiate r - 6 - 1 - 9*x**3 + 2*x**3 with respect to x. -21*x**2 Let c(q) = -q**2 + q. Let w(l) be the first derivative of -l**3/3 + l**2/2 + 1. Let j(f) = -5*c(f) + 7*w(f). Find the second derivative of j(t) wrt t. -4 Find the third derivative of 2*w**6 - 4*w**6 + 7*w**6 + 4*w**6 + 6*w**2 wrt w. 1080*w**3 Let h(i) = i + 1. Let j be h(-1). What is the third derivative of t**2 - t**4 + t**3 + j*t**2 - t**3 wrt t? -24*t Let q = -6 - -8. What is the second derivative of 6*d**4 + 8*d**3 - d**4 - 8*d**3 - q*d wrt d? 60*d**2 Let q(l) = -2*l - l**4 + 2*l. Let g(i) = -2*i**2 + 3*i**2 - 2*i**2. Let c(s) = -g(s) - 2*q(s). Find the third derivative of c(z) wrt z. 48*z Let q be -6*(-3)/6 - -2. Find the second derivative of -2 + 2 - 4*j**5 + 8*j**q + 4*j wrt j. 80*j**3 Let m(h) = -h**2 + 11*h - 7. Let q be m(10). What is the third derivative of -q*b**2 + 3*b**2 - 5*b**2 + 0*b**2 + 8*b**3 wrt b? 48 Let i(k) = -6*k + 2. Let o be ((-49)/28)/(2/8). Let t(v) = -13*v + 5. Let j(m) = o*i(m) + 3*t(m). What is the first derivative of j(f) wrt f? 3 Let x(q) be the first derivative of -7*q**3/3 - 7*q**2/2 - 7. Find the second derivative of x(l) wrt l. -14 Let s = -3 + 6. Let o = 43 + -40. What is the derivative of b**3 - s*b**3 - 4*b**3 + 4*b**o + 5 wrt b? -6*b**2 Let w(n) be the first derivative of -n**7/35 + n**4/12 + 5*n**2/2 + 4. Let i(g) be the second derivative of w(g). What is the second derivative of i(f) wrt f? -72*f**2 What is the derivative of -4*y**3 + 3*y**3 - 4*y**3 - 3 wrt y? -15*y**2 Let g(m) be the first derivative of 4*m**5/5 + 3*m**2/2 - 4. Let p(f) = 4*f**4 + 3*f. Let s(u) = 2*g(u) - 3*p(u). What is the second derivative of s(i) wrt i? -48*i**2 Suppose 4*o - 3*h = 19 - 5, -4*o + 4*h = -16. Let d be 3/o*4/3. Find the third derivative of 3*b**6 + 0*b**d - b**6 + 3*b**2 + b**2 wrt b. 240*b**3 Let j = 4 - 2. What is the third derivative of x**3 + x - x**2 - x - x**j wrt x? 6 Let u(y) = -y**2. Let c(v) = -3*v**2 - 6*v - 3*v**2 + 2*v. Let z be 1 - (32/(-12) + 3)*6. Let x(o) = z*c(o) + 10*u(o). Find the second derivative of x(b) wrt b. -8 Let a(h) be the third derivative of -1/60*h**6 - 1/3*h**3 - 3*h**2 + 0*h + 0*h**5 + 0 + 0*h**4. What is the first derivative of a(z) wrt z? -6*z**2 Let a(r) be the second derivative of 5*r**5/4 - 5*r**4/4 + 17*r. What is the third derivative of a(y) wrt y? 150 What is the first derivative of 4 - 2 + 12*l - 14*l wrt l? -2 Let k(n) be the first derivative of -n**8/420 + n**4/8 - n**3 + 2. Let d(l) be the third derivative of k(l). Find the first derivative of d(o) wrt o. -16*o**3 Suppose 0 = -5*a - 20, -3*c = 2*c + 4*a + 6. Find the third derivative of -3*f**2 - 2*f**6 + 0*f**c + 2*f**2 wrt f. -240*f**3 What is the second derivative of -12*m**3 + 10*m**3 + 18*m - 7*m + 7*m**3 wrt m? 30*m Let g = -4 - 6. Let x = g + 16. What is the second derivative of -x*q**4 + 8*q**4 + 3*q - 2*q wrt q? 24*q**2 Find the second derivative of 92 - 3*x + 8*x**4 - 92 wrt x. 96*x**2 Let s = 10 + -8. Find the third derivative of 6*r**s - r**2 + 2*r**5 - 7*r**5 wrt r. -300*r**2 Let v(r) be the third derivative of 11*r**5/20 + 3*r**4/8 - 34*r**2. What is the second derivative of v(p) wrt p? 66 Let i(r) = 2*r**2 + 8*r - 10. Let p(v) = v. Let u(k) = i(k) - 8*p(k). What is the derivative of u(m) wrt m? 4*m Let k(h) be the second derivative of -h**5/20 - 19*h**2/2 + 20*h. What is the derivative of k(a) wrt a? -3*a**2 Let y be -1 - -3 - (-1 + 1). What is the third derivative of 5*j**y + 2*j**3 - j**3 - 3*j**2 wrt j? 6 Let w be (-4)/2*(-2 + 1). Suppose -4*p + 20 = w*k, 2*k = -3*p + k + 13. What is the third derivative of m - m - m**p + m**2 + 3*m**3 wrt m? 12 Let l be (42/(-9))/(4/(-18)). Let q be ((-8)/(-6))/(14/l). What is the second derivative of 4*g**2 - 3*g**q - g - 2*g - 2*g**2 wrt g? -2 Let u(c) = c. Let j(r) = r + 6*r**3 - 2 - 2*r**3 - r**3 + r. Let m(a) = j(a) - 2*u(a). Fin
{ "pile_set_name": "DM Mathematics" }
lse Let f(u) = 14*u**2 + 6*u - 6. Let z = 126 - 121. Does 16 divide f(z)? False Suppose -9*y + 12 = -15. Suppose 14 = y*u + 2*u + 2*g, -4*g = 5*u - 18. Suppose -5*b + 371 = 4*z, -b + 77 = -4*z + u*z. Is 6 a factor of b? False Let i = -3326 + 4618. Does 55 divide i? False Let d = 13321 + -10305. Does 26 divide d? True Let l be (-66)/(-7 + 3 - (-6 + 3)). Suppose -2*i + l = -116. Is 5 a factor of i? False Suppose 4*a = -4*m + 9*a + 3009, 2*m = 5*a + 1517. Suppose 4*h = 2*r + 2074, -3*r - 224 = h - m. Does 38 divide h? False Let j = 24891 - 24602. Is 17 a factor of j? True Let y be 69/12*1 + (-3)/4. Suppose 4*p = 8*u - y*u + 974, 2*p + 3*u - 496 = 0. Is 35 a factor of p? True Let n(x) = x**2 - 9*x + 2. Let g(h) = 2*h**2 - 13*h + 1. Let c be g(9). Suppose 0 = u - 6*u + 4*m + c, -4*m + 4 = 0. Is n(u) a multiple of 11? False Suppose -5434 = -3*h - 2*g, 3*g = h - 1061 - 765. Is h a multiple of 2? True Is 5 a factor of (-102)/(-136)*(-760)/(-6)? True Let h = -96 + -75. Suppose 36*y - 29172 = -42*y. Let f = y + h. Does 29 divide f? True Suppose 4*m + 3*s - 8 = 3*m, m + s = 4. Let k be m + -10 + 5 - (0 - 11). Let p(q) = 2*q**2 + 7*q - 16. Does 8 divide p(k)? True Let g be (-138)/(-33) + (50/55)/(-5). Let q be (3/(-6) - -1)*g. Suppose -22 = -2*i + q*v + 226, 5*i - 4*v = 618. Is i a multiple of 18? False Let a = 1526 + 10318. Is 83 a factor of a? False Suppose 0 = f + 4*n + 9, 4*f + 0*n = -2*n + 6. Suppose 43 - f = 4*r. Is 3 a factor of r? False Suppose -3 = 3*y, 8*w + 2 = 10*w + 2*y. Suppose -74 = -3*c + 4*l, 3*c - w*l - 64 = -0*l. Is c a multiple of 3? True Let o(i) = i**2 + 46*i - 303. Does 3 divide o(30)? True Let s be ((2 - -4) + (-95)/15)*0. Suppose a - w - 453 = s, a - 459 = w - 2*w. Is a a multiple of 65? False Let a(r) = -6*r**2 - 61*r - 7. Let z be a(-19). Let u = z + 1422. Is u a multiple of 12? True Let r be (3 + -4)/((-1)/4). Let y be (12/(-9))/(r/(-12)). Does 6 divide (-18)/y*608/(-24)? True Let p(u) = 1015*u**2 + u - 1. Let d be p(1). Suppose 15 = -4*w + d. Suppose 0 = l - 2*v - w, 4*l + l + 3*v = 1263. Is 36 a factor of l? True Suppose 1226 = -9*m - 1006. Let y = m + 313. Does 13 divide y? True Does 14 divide -2*(1 + -2) + 31534 + (9 - 3)? True Let x(z) = -z + 7. Let k be x(3). Suppose 4*f - 1268 = -k*v, -5*v - 2*f + 1356 + 223 = 0. Is v a multiple of 15? True Let h(o) = 2*o**2 - 20*o - 8. Let r be h(12). Let b = 6 + 11. Suppose 18*v - r = b*v. Is v a multiple of 5? True Suppose -15696 = -74*r + 65*r. Let y = -844 + r. Does 45 divide y? True Suppose -p - 5*a = 10, 7*p - 10*p + a = -2. Suppose 31*v - 1612 - 1798 = p. Does 11 divide v? True Let u be 5*((-12)/(-15))/((-6)/(-3)). Is -2*(u - (12/(-3) - -82)) a multiple of 7? False Let w(g) = g**3 + 7*g**2 + 9*g - 10. Let t be w(-5). Is (-1 - 7/(-5)) + (-473)/t a multiple of 8? False Is 15 a factor of ((-4632)/40)/(10/(-500))? True Suppose 5*b - 12 = 3. Suppose -6*l - 196 = -l - b*h, 4*l - 4*h + 152 = 0. Let f = 67 + l. Is 4 a factor of f? False Let r(i) be the first derivative of i**4/4 - i**3/3 - 59*i**2/2 + 19*i + 24. Does 31 divide r(9)? False Let v be (-1)/(-3) + (1 - (-60)/9). Is 9 a factor of v - 9 - (1 - 169)? False Suppose 3*w - 3*k - 156 = 0, -3*w + 3*k = -w - 101. Let c be (-2 + 4)/(6/537). Suppose -5*j + c = 4*a, -j = -a - 3*a - w. Does 11 divide j? False Let c(h) = 5*h**2 - 3*h - 18. Let g(q) = -3*q**2 + q + 9. Let k(o) = -4*c(o) - 7*g(o). Let f be k(-4). Suppose -2*p - f*p = -350. Is p a multiple of 40? False Suppose 36*h = 32*h + 2392. Let s = h - 557. Does 8 divide s? False Suppose -r + k = -5*r + 17, 3*r + 4*k = 29. Suppose r*u + 8*u - 1232 = 0. Let s = u - 80. Does 5 divide s? False Let k(m) = 6*m**2 + 306*m + 188. Is 20 a factor of k(-62)? True Let x(r) = -r + 1. Let k(y) = 12*y - 10. Suppose -105 = -3*i - 2*i. Let w(p) = i*x(p) + 3*k(p). Does 11 divide w(2)? False Let b(c) = -1373*c**3 - 6*c**2 - 21*c - 56. Is 208 a factor of b(-3)? True Suppose 0 = -3*k + 9, 8*k - 12*k = -2*s + 38. Suppose s*n - 16*n - 36 = 0. Does 7 divide 3 - (-320)/5 - n? True Let s be -1*(-3 + 0) + 26 + 706. Let l = s + -399. Does 12 divide l? True Let b = -1467 - -4375. Is b a multiple of 39? False Suppose 14*h - 40360 = 12587 - 5277. Does 15 divide h? True Let b(y) = 4*y - 4. Let n(r) = 2*r**2 - 10*r + 3. Let f be n(5). Is 8 a factor of b(f)? True Let p(y) = 242*y**2 + y - 1. Suppose 2*z + 4 = -4*m - 6, 3*z + 4 = 5*m. Is 40 a factor of p(m)? True Let n(h) = 2*h**3 + 6*h - 26. Let s be n(3). Let g = 6 + s. Is g a multiple of 4? True Suppose -197 = -5*b + p + 147, 3 = 3*p. Let d = b - 114. Let u = d + 85. Is 6 a factor of u? False Suppose 3*m + 5214 = 5*r - 3994, 0 = 5*r - m - 9216. Let k = 1235 - r. Is (-174)/k + ((-402)/(-14))/1 a multiple of 21? False Suppose 0 = -4*z - 2*x - 186, -x + 30 = -3*z - 122. Let t = 44 - z. Let i = -64 + t. Is i a multiple of 16? False Suppose 0 = -14*i + 3*i - 1364. Is (22/(-4))/(31/i)*33 a multiple of 8? False Suppose 3*o + 140 = 8*o. Let a = o + -24. Suppose 56 = 6*v - a. Is 10 a factor of v? True Let f be (-4)/(-10) - 88/(-55)*246. Let q = 620 - f. Is 16 a factor of q? False Let g = -123 + 126. Suppose -g*c - 804 = -7*c. Is c a multiple of 67? True Let y(z) = -z**2 + 2*z + 6. Let u be y(3). Suppose -33*v - u = -30*v. Is ((-70)/1)/(v/1) a multiple of 14? True Is 117/(-45)*-2069 - (1 - (-3)/(-5)) a multiple of 13? False Let x(t) = -43*t - 64. Let k be x(-5). Let c = 499 - k. Is c a multiple of 43? False Suppose 5*b - 57503 = -3*w - 5587, 4*b = w + 41543. Is b a multiple of 67? True Let a = -10049 - -16153. Does 14 divide a? True Let h = 357 + -355. Suppose 263 = -3*q + h*m + 1146, 5*m + 585 = 2*q. Is q a multiple of 70? False Let b(z) = z**3 + 4*z**2 - 7*z + 3. Let q = -12 + -17. Let y = -33 - q. Does 4 divide b(y)? False Let q = 2774 - 1709. Suppose -16 = -4*c, 4*c - 3961 = -5*d - q. Is d a multiple of 13? False Let m = -10937 - -11709. Is m a multiple of 22? False Suppose 2591 = 5*s - 3*d, d - 127 = 2*s - 1164. Does 40 divide s? True Let z(l) = l**3 - 6*l**2 - 7*l + 4. Let i be z(7). Suppose 0 = c - 5*k - 69, 2*c - 193 = -i*k + 3*k. Is 33 a factor of (c/1)/(-1 + (4 - 2))? False Suppose -1870527 = -40*x + 236953. Does 211 divide x? False Let y(d) be the first derivative of 17*d**3/3 + 7*d**2/2 + 4*d + 50. Does 17 divide y(7)? False Let y be 6*-10*(248/40 - 7). Let x = 211 + y. Is 37 a factor of x? True Let d = -106 + 231. Suppose -8*g = 17*g - 1725. Let b = d + g. Is 12 a factor of b? False Let m(v) = -v**2 + 14*v - 47. Let w be m(6). Does 61 divide (2 - 3)*w - (-980)/10? False Suppose -2*d - 135 = -d. Let x = -6727 + 6796. Let r = x - d. Is r a multiple of 11? False Let m(t) = 10*t**2 + 3*t + 26. Let q be m(-6). Let s = -81 + q. Does 9 divide s? False Let l(w) = 55*w**2 - 24*w - 72. Is l(-8) a multiple of 11? False Let k = 15872 - -3642. Is 23 a factor of k? False Let s be 5*(-5 - ((-102)/10 + 4)). Does 11 divide 167 + 1*(-11 - 1)/s? True Suppose 19*l + 46539 = 218736. Is l a multiple of 57? True Let g(k) = 3*k**2 + 14*k + 104. Let y(j) = j**3 + 13*j**2 + 23*j + 5. Let p be y(-11). Is 4 a factor of g(p)? True Let l(r) = r**3 - 30*r**2 + 84*r - 75. Let n be l(27). Let m(c) = 57*c**2 - 46. Is 17 a factor of m(n)? True Suppose 219*c - 240*c + 2520 = 0. Is c even? True Let m(a) = -7*a + 33. Let y be m(7). Let z be y/24*(-53 + 2). Does 8 divide 24*(-10)/(-1)*17/z? True Let w = -760 - -763. Suppose 0 = 4*a - n - 784 - 708, -w*a - 2*n + 1119 = 0. Is a a multiple of 39? False Let j(i) = -4*i**3 + 4*i**2 - 13*i - 15. Let f be j(-5). Let t = 937 - f. Is t a multiple of 9? False Let g be (3 - (-3 + (3 - -4)))*0. Let x(p) = -10*p + 165. Is 11 a factor of x(g)? True Is 10 a factor of ((-16)/6)/((-244)/298107)? False Suppose -107*a + 330751 + 4125 = -428676. Is 37 a factor of a? False Suppose -161*t - 3812 = -28992 - 1385. Is 11 a factor of t? True Let s = 42 + -104. Does 13 divide -1*s*(3 - 0)? False Let t = -65 - -74. Suppose 9*f - 10*f = -t. Suppose f = p - 6. Is p a multiple of 6? False Is 8 a factor of 2/(-8) - 2/(-64)*25096? True Let o be -1*(-4 + 5)*-1 + 653. Let n = -335 + o. Is n a multiple of 29? True Suppose 0 = -2*b - 2*b - 40. Let m = -7 - b. Suppose m*o + 60 = i - 0*o, -4*i + 172 = 5*o. Is 5 a factor of i? False Let j(d) = -3*d**3 - 18*d**2 - 13*d + 122. Is j(-13) a
{ "pile_set_name": "DM Mathematics" }
(y) + d(y)? y - 3 Let j(i) = 52*i + 8. Let q(z) = -381*z - 56. Let a(d) = -22*j(d) - 3*q(d). Let m(k) = -k - 16. Determine 9*a(f) - 4*m(f). -5*f - 8 Let y(d) = -72*d + 438. Let i(k) = 15*k - 88. Determine 11*i(m) + 2*y(m). 21*m - 92 Let d(w) = 12*w**3 - 3*w - 3. Let p(h) = 11*h**3 - 4*h - 4. Suppose 4*k + 3*y = -24, y = -k - 6 - 1. Give k*p(m) + 4*d(m). 15*m**3 Let r(y) = -62999*y + y**2 + 1 + 126001*y - 63003*y. Let k(s) = -16*s**2 + 8*s - 6. Determine -k(i) - 6*r(i). 10*i**2 - 2*i Let d(f) = -3*f + 4*f + 5 + 0*f + 4*f. Let q(p) be the first derivative of -3 - 14*p + 3*p**2 - 7*p**2 - 14 - 3*p**2. Determine -11*d(z) - 4*q(z). z + 1 Let m(o) = -90098*o**3 - 171*o - 171. Let w(c) = 1060*c**3 + 2*c + 2. Give 4*m(j) + 342*w(j). 2128*j**3 Let j(h) = 17*h - 4. Let l(c) be the second derivative of 17*c**3/2 - 11*c**2/2 - 13*c - 22. Determine 11*j(v) - 4*l(v). -17*v Let o(k) = 75*k + 2. Let a(m) = 41*m - 40. Let t(z) = 23*z - 17. Let i(l) = -3*a(l) + 7*t(l). Give 5*i(s) - 2*o(s). 40*s + 1 Let p(h) = -7*h**3 + 6*h**2 + 2*h + 7. Suppose 13*u = 14*u - f - 4, 3*u + 18 = -3*f. Let a(m) = m**3 - m**2 - 1. Determine u*p(b) - 6*a(b). b**3 - 2*b - 1 Let c(p) = 270*p**2 + p + 71. Let b(s) = -27*s**2 - 7. Determine -21*b(m) - 2*c(m). 27*m**2 - 2*m + 5 Let b(c) = -3*c**3 + 2*c + 2. Let y(k) = -9*k**3 + 7*k + 7. Suppose -2*p + 150 + 74 = 0. Suppose 5*h - 13*h = -p. What is h*b(g) - 4*y(g)? -6*g**3 Let w(n) = -6*n - 3. Let o(v) = -148*v**2 + 22*v + 13. Calculate -o(j) - 4*w(j). 148*j**2 + 2*j - 1 Let v(g) = g**3 - 15*g**2 - 30*g - 54. Let q be v(17). Suppose q*s - 23 - 47 = 0. Let t(l) = -7*l**2 + 7*l. Let o(c) = 8*c**2 - 7*c. Give s*o(a) + 6*t(a). -2*a**2 + 7*a Let i(q) = -q - 1. Let h(s) = 2*s - 12. Let r(n) = -56*n + 57*n + 4 - 10. Let x(m) = 4*h(m) - 9*r(m). Calculate 6*i(a) + x(a). -7*a Let n(g) = 5*g + 3702. Let v(o) = -2*o - 1233. Determine 3*n(j) + 8*v(j). -j + 1242 Suppose 5*v = 14*q - 10*q - 6, v + 2*q + 4 = 0. Let w(c) = 13*c + 27. Let l(z) = 3*z + 7. Determine v*w(t) + 9*l(t). t + 9 Let x(f) = 43*f**3 - 10*f**2 - 16*f. Let u(k) = -43*k**3 + 12*k**2 + 18*k. Calculate 6*u(y) + 7*x(y). 43*y**3 + 2*y**2 - 4*y Let l(b) be the first derivative of -2*b**3/3 - 3*b**2/2 + 4*b + 1713. Let q(k) = 15*k**2 + 21*k - 27. Determine -27*l(z) - 4*q(z). -6*z**2 - 3*z Let c(k) = 33*k**2. Let d(j) = -247*j**2. Let z be ((-580)/87)/(-20)*5*(-6)/2. Calculate z*d(r) - 38*c(r). -19*r**2 Let c(t) = 19*t + 32. Let u(x) = 153*x + 248. Determine 17*c(k) - 2*u(k). 17*k + 48 Let v(d) = -1081*d - 55. Let a(k) = -1082*k - 64. Determine -6*a(u) + 7*v(u). -1075*u - 1 Let c(n) = -3*n**3 + n + 2. Let o(b) = 956514*b + 6*b**3 - 956516*b - b**3 - 5. Let q(z) = -z**2 + 8*z - 2. Let u be q(8). Determine u*o(a) - 5*c(a). 5*a**3 - a Let b(n) = -16*n + 21. Let l(m) = 3*m - 4. Suppose -2*u = -892*q + 887*q - 36, 4*q + 108 = 4*u. Calculate u*l(z) + 6*b(z). 3*z - 6 Let c(y) = -49*y + 19. Let w(i) = -58*i + 22. Give -3*c(q) + 2*w(q). 31*q - 13 Let m(j) = 3*j - 486. Let t(d) = -d + 172. Give -3*m(c) - 8*t(c). -c + 82 Suppose -5*n = 2*m + 6 - 1, -5*n = -3*m + 30. Let h(w) = -7*w**2 + 7*w + 5. Let s(a) = -4*a**2 + 4*a + 3. Suppose 156*x + 60 = 136*x. Calculate m*s(b) + x*h(b). b**2 - b Let n(b) = b. Suppose 0 = w + 4 - 3. Let m(c) = 13. Let r(g) = -58. Let f be 16 + -6 + -6 + 5. Let i(l) = f*m(l) + 2*r(l). Determine w*n(y) + 2*i(y). -y + 2 Let s(f) = 3*f - 1292. Let j(c) = -c + 25. Give j(w) + s(w). 2*w - 1267 Let i(h) = 5. Let v(j) = -j - 1. Suppose 75 = -4*k + 2*d - 33, 4*d + 144 = -4*k. What is k*v(c) - 6*i(c)? 30*c Let p(t) = -79*t + 5. Let m(n) = -78*n + 5. Determine 3*m(v) - 2*p(v). -76*v + 5 Let b(u) = -5*u + 501. Let h(x) = 7*x - 504. Give 4*b(n) + 3*h(n). n + 492 Let w(a) = -3*a**3 + 8*a**2 - 2*a - 38. Let o(i) = i**3 - 3*i**2 + i + 13. Suppose -88 = -34*k + 14. What is k*w(q) + 8*o(q)? -q**3 + 2*q - 10 Let q(o) = 117*o**2 + 158*o - 3. Let v(z) = 147*z**2 + 157*z - 4. Calculate -4*q(l) + 3*v(l). -27*l**2 - 161*l Let o(k) = -k**3 + k**2 + k - 1. Let r(m) = -2*m - 5. Suppose 623*f - 622*f + 3 = 0. Let h be r(f). Let l(t) = -3*t**2 - 3*t + 3. Calculate h*l(w) + 3*o(w). -3*w**3 Let w(h) = 151*h - 6. Let c(n) = 124*n - 6. Calculate 15*c(p) - 12*w(p). 48*p - 18 Let m(j) = -1403*j**3 + 138*j**2 - 138. Let n(o) be the third derivative of 17*o**6/40 - o**5/12 + 5*o**3/6 + 346*o**2. Determine 5*m(g) + 138*n(g). 23*g**3 Let k(a) be the third derivative of -1/30*a**5 + 0*a - 27*a**2 - 1/6*a**3 + 0 + 1/120*a**6 + 1/24*a**4. Let u(g) = g - 1. Let t = -10 + 9. Give t*k(w) + u(w). -w**3 + 2*w**2 Let q(j) = 4*j**3 + 16*j**2 + 7*j + 30. Let a be q(-4). Let l(i) = -25*i**3 + i**2 + 2*i. Let k(u) = u**3 - u**2 - u. Determine a*k(v) + l(v). -23*v**3 - v**2 Let c(w) = -8 + 3 - 6 + 4*w**3. Suppose 0 = k + 2*n - 26, -2*k - 3*n - 534 = -574. Let i(q) = -1. Determine k*c(g) - 22*i(g). 8*g**3 Let j = -5293 - -5304. Let i(p) = p**2 + 7*p + 5. Let b(g) be the third derivative of g**5/30 + 13*g**4/24 + 3*g**3/2 - g**2. Calculate j*i(y) - 6*b(y). -y**2 - y + 1 Let n(o) = -8*o - 6. Let b(i) = 7 + 815*i - 806*i - 5 + 3. Calculate -4*b(p) - 3*n(p). -12*p - 2 Let v(d) = -d**2 - 131*d + 13. Let g(r) = 48*r - 5. Let k(f) = -11*g(f) - 4*v(f). Let i(t) = -t**3 + 11*t**2 - 11*t + 9. Determine -4*i(b) + 11*k(b). 4*b**3 - 3 Let a(h) = 15*h - 5. Let o(k) = 175*k + 294*k - 3 - 462*k. Determine 6*a(q) - 10*o(q). 20*q Let g(a) = -a**2 + 2*a. Let h(w) = -25792 - w + 51582 - 25790. What is -2*g(k) - 3*h(k)? 2*k**2 - k Let x(g) = -12*g**2 + 1 + 22*g**2 - 1 + 3. Let s(n) be the third derivative of n**5/60 + n**3/6 + 1295*n**2. Calculate 3*s(y) - x(y). -7*y**2 Let x(u) = 6*u - 19. Let l(j) = -3*j + 10. Let a be (53/(-477))/(1/(-27)). Give a*x(o) + 5*l(o). 3*o - 7 Let k(h) = -2*h**2 + 6. Let v be (-7 - -3) + 3 - 16/4. Let z(p) = -1. Give v*z(l) - k(l). 2*l**2 - 1 Let t(r) = -26*r**2 + 2*r + 28. Let u(c) = 46*c**2 - 4*c - 55. Calculate 7*t(k) + 4*u(k). 2*k**2 - 2*k - 24 Let z(q) = -8*q - 4. Let p(u) = -7*u - 3. Let x = 13 + 3. Let h be (4 + (-56)/x)*(-4)/1. Let v be -10 - (0 + h)/(3/6). Determine v*z(g) + 7*p(g). -g + 3 Let n = 685 + -678. Let g(t) = -592 - 6*t**3 + 586 + 6*t - n*t**3. Let v(b) = -12*b**3 + 5*b - 5. Calculate -5*g(y) + 6*v(y). -7*y**3 Let s(f) = -5. Let l(z) = 16. Let n(y) = l(y) + 3*s(y). Let p(a) be the second derivative of a**3/3 - 7*a**2/2 - 3*a. Calculate -5*n(q) - p(q). -2*q + 2 Let c(r) be the third derivative of 5*r**4/24 - r**3/2 + 3*r**2 + 380. Let j(o) = -4 + 10*o + 10 - 19*o. What is -7*c(h) - 4*j(h)? h - 3 Let f(r) = -2419*r**3 - 164*r**2 - 164. Let v(c) = 70 - 11*c**2 - 151 + 11*c**2 - 44*c**3 - 3*c**2 + 78. Calculate 3*f(d) - 164*v(d). -41*d**3 Let r(k) = -1. Suppose -2*c + 3*t + 7 = 28, -2*c - t - 9 = 0. Let l(u) = -8*u + 5. Give c*r(y) - l(y). 8*y + 1 Let n(h) = h. Let j(u) = 11*u - 16. Let p(w) = -39*w + 57. Let i(r) = 18*j(r) + 5*p(r). Give i(f) - 2*n(f). f - 3 Let j(f) = -5*f. Let n(a) = -16*a + 141. Give 4*j(g) - n(g). -4*g - 141 Let k(u) = 414*u + 380*u + 379*u - 1174*u. Let c(g) be the second derivative of -4*g**3/3 + g**2 + g. Let v(s) = s - 6. Let r be v(0). Calculate r*k(q) + c(q). -2*q + 2 Let f(a) = -26*a - 2. Let y(k) = 2*k. Give -2*f(q) - 14*y(q). 24*q + 4 Let t(j) be the first derivative of -5*j**2/2 + 8*j - 523. Let l(f) = f**3 + 9*f**2 + 3*f + 21. Let x be l(-9). Let b(d) = d. Determine x*b(i) - t(i). -i - 8 Let u(h) = -26*h**2 - 31*h - 15. Let d(w) = -w + 22. Let p(l) = -l**2 - l - 5. Let k(c) = -d(c) - 5*p(c). Calculate 11*k(g) + 2*u(g). 3*g**2 + 4*g + 3 Let n(b) = -5*b**2 + 148*b - 2. Let z(g) = g**2 - 37*g - 1. Determine 2*n(w) + 9*z(w). -w**2 - 37*w - 13 Let u(i) = -5*i**2 - 314*i + 6. Let n(g) = g**2 - 2. What is -3*n(b) - u(b)? 2*b**2 + 314*b Let g(a) = 749*a**2 + 45*a + 48. Let t(f) = -2248*f**2 - 127*f - 136. What is 17*g(c) + 6*t(c)? -755*c**2 + 3*c Let v(d) = -14*d**2. Let n(r) = 87 - 175 - 5*r**2 + 88. Suppose 7*x - 2*x = 2*j + 31, 5*x - j = 28. Let c be (-1 + x)*(0 + -1). What is c*v(y) + 11*n(y)? y**2 Let b(z) be the third derivative of 2*z**5/15 + 7*z**4/8 + z**3/3 + 758*z**2 - 2*z + 1. Let d(s) = 7*s**2 + 20*s + 2. Determine -5*b(f) + 6*d(f). 2*f**2 + 15*f + 2 Let k(s) = -87*s**3 - 38*s**2 + 99*s - 4. Let r(b) = 65*b**3 + 28*b**2 - 72*b + 3. Give -8*k(u) - 11*r(u). -19*u**3 -
{ "pile_set_name": "DM Mathematics" }
t is ((-9)/4 + (-2)/(-8))/((-4802)/(-325507)*73)? -13/7 What is the value of ((-448)/230 - -2)*1190/2142? 2/69 What is the value of -116 + -9 + (-77968)/(-624)? -2/39 Evaluate (11040/805)/((-44)/(-77)). 24 What is ((-6)/22 - 468/1430) + 7 + (-896)/(-35)? 32 (-10)/(-102)*-75*172/10750 -2/17 Evaluate (8/(-50))/((-6)/(-9)*2871/(-3190)). 4/15 Calculate 160/240 + (2 - (-16)/(-6))/((-230)/(-16445)). -47 Calculate (-1237 - -1237)/((-40)/5). 0 Evaluate 2282/(-42) + ((-6)/(-6) - (400/(-15))/(-10)). -56 (1 + 25 - 28)*(870/744 + (-5)/4) 5/31 (28 - (33 + -11)) + 3/66*(-124 + 0) 4/11 What is -2 + 148 + (-259548)/1548? -65/3 Calculate 1 + 594/30 + 24/(-120) - (-18)/(-30). 20 What is the value of 8/(-42) + 376820/(-23835)? -16 5595/(-315) - 19/(285/(-270)) 5/21 What is (-44)/(-726) + 15/((-4950)/(-376))? 6/5 Evaluate 512265/(-2343) + 71 + 36/22. -146 What is (990/(-45) - -12)*2? -20 What is the value of 2/(-1 + 3) + (-1104675)/486057? -14/11 Calculate 450/(-25425) + 4*53011/3164. 67 What is the value of 9/(-2)*(-10216)/(-252846)? -2/11 What is (-1197)/(-36) - 88/352? 33 What is the value of ((-3)/126*-175 - (-1)/(-6))*108/3384? 6/47 Calculate (81/27)/((-368)/(-299) - 1). 13 Calculate 3 + (-420)/196 - (-3 - (-728)/49). -11 What is (2*(-1120)/256)/(7/(-8))? 10 Calculate -77 + (-137955)/4869*(-12)/10. -43 What is -1449 + 1426 - (1 + 0 - 7)? -17 What is the value of (-222)/360 - (1276/176 + -8)? 2/15 Calculate (3 + -2)/((-2625)/1575). -3/5 What is 64949/(-1926) - ((-2)/(-1))/(-4) - (-4)/18? -33 Evaluate 1/((-1)/(-20)) + -2651 + 2588. -43 Calculate (8/105)/((-43608)/(-18170)). 2/63 Calculate (70 - 60)*3/6*15*(-7)/(-21). 25 Evaluate -8552 + 8439 + -1 + 70. -44 What is -26 - (-9054)/(-504) - (726/(-56) - -13)? -44 4/(-6)*20/(-6) + 94 + -128 + 32 2/9 122 - (-2)/((-1044)/65163) -17/6 What is the value of ((3/14)/((-183)/976))/(44/14 + -4)? 4/3 What is the value of (-50587745)/1124475 + 6/(-495)? -45 Calculate (-1)/3 - ((-420)/(-9) + -43). -4 What is the value of ((-436)/230 - 77/(-35))*(-18)/63? -2/23 What is the value of ((-8)/30)/(15 + 8400/250 + -37)? -2/87 Calculate (-98)/(4900/(-2550)) + -9. 42 Calculate (-7)/(70/(-120)) + ((-8)/16)/(15/1770). -47 Evaluate (-2280)/420*(-15)/((-60)/(-56)). 76 What is the value of (-1)/4 - (-11 - (2 + -6))*(32 - 31)? 27/4 Calculate 3/2*(-35*480/(-30800) - 71/(-11)). 21/2 What is the value of -9 + 13 + 750/(-82) - 2*(-20)/8? -6/41 Calculate 12/(-264) + (26 - 4557/176). 1/16 Calculate (-1716)/21736 - (-734)/152. 19/4 Evaluate ((-5322)/(-1773))/((-2)/(-6)) - (8 + (10 - 9)). 1/197 (-2130)/(-1917) + (-2210)/1260 -9/14 Evaluate (-3100)/(-40) - (-11466)/(-147). -1/2 Evaluate (208642/(-44709))/((-10)/16*(-2)/15). -56 What is the value of (-5 - 5)*((-1725)/(-2760) - 134/240)? -2/3 What is the value of (3 + (-8 - 1))/((-77)/((-3465)/(-27)))? 10 Calculate 4/((-3060)/(-501)) - 1410/2115. -1/85 Evaluate (-2 + 140/6)*20/8*(-144)/480. -16 Evaluate (7 + -11 + 1*5)/((-210)/2100). -10 What is ((-85)/51*(9 + -13) + 10)*-6? -100 (30/(-570))/((-106)/9063) 9/2 (-1695)/90 + 20 + ((-3)/4)/((-45)/(-3970)) -65 (-16 + -28 - 46)*6/18 -30 184*((-36)/(-63) - 1050/980) -92 What is the value of 12/80*(-5 + 6 - (-20)/60)? 1/5 40/(-24)*((-5664)/(-160) - -12) -79 What is the value of (-23)/(3680/(-96))*(-600)/9? -40 Calculate ((-4)/13*48)/(980/(-6370)). 96 What is the value of ((-43)/(3612/48))/(96/(-22344))? 133 Evaluate (37259/(-1431) + 26)/(-1). 1/27 (74 + ((-13156)/(-66))/(-23))*6/8 49 Calculate (((-12)/(-1365))/((-8)/(-20)))/((-2)/14). -2/13 Evaluate (52/8 + 8/(56/(-35)))*672/(-144). -7 ((-16704)/609 + 28)/(-86) -2/301 What is the value of ((-144)/19080*-53)/(0 + 2/(-35))? -7 What is the value of (220/(-8))/(20/(-48)) - (1 - 20/(-2))? 55 584675/50115*((-9)/(-5))/(-3) -7 What is the value of 58 + 416/(-78)*(-330)/88? 78 What is 348/(-42)*(-12 - (-310)/20)? -29 What is (-2)/(-20) - 427/(-10)*(-90)/630? -6 (-6)/16 - 6/1*5238/(-6984) 33/8 Evaluate 15/65 - (11330/143 + 4 - (-1 + -6)). -90 Calculate ((-32)/(267840/93))/(2/(-5)). 1/36 What is the value of ((-531 - -262) + 267)*(-2)/580? 1/145 Evaluate (-3706)/660*-2 - 1058/(-7935) - 10. 15/11 28402/(-7392)*-16 - 61 10/21 What is ((-16307)/(-299) - 55) + 3210/(-650)? -27/5 Calculate -46 + (-73 - 15840/(-110)). 25 Evaluate (-45)/(-540) - (14194/(-2760) + 4) - (-70)/(-50). -4/23 427/9 - (945 - 898) 4/9 (-6)/39 - (18360/(-520) + 28)*(-2 - -9) 51 (((-40)/(-275))/(-4) + (-5940)/3025)*(-6)/(-258) -2/43 What is 129 + (-319704)/1760 + 53? 7/20 What is the value of (-376)/(-658) + ((-2132)/(-336) - -4*3/(-18))? 25/4 What is (34798/1781)/((0 + -1)*13/(845/(-10)))? 127 484 - 482 - 310/(8 - 3) -60 (-2)/11 - 592/132 -14/3 What is ((-16 - (-1805)/114)*16)/(20/50)? -20/3 Calculate (21/2)/(938/268*(-156)/(-56)). 14/13 What is 306/(-9) - (-94)/47*7/2? -27 Evaluate (((-60)/(-25) - 2)/(2/(-6)))/(5017/75255). -18 What is the value of (-2244)/(-5236) - (738/(-28))/(55/(-10))? -48/11 Calculate 81/4212*-78*84/(-30). 21/5 7 + 60/(84/(-14)) + 1204/120 - 7 1/30 What is 126/(21 - 39)*(144/14 + 2)? -86 Calculate (-15)/(-2)*2/1 - (431 - (-147 + 587)). 24 Calculate ((45636 + -4)/124)/28. 92/7 What is (25/(-50))/(5 + -4 - 17)? 1/32 Evaluate (12/(-570))/(774/(-1935)). 1/19 Evaluate 2/(22*34/(-12903)) + 18. -33/2 Evaluate 462/324478*434 + (-4)/86. 4/7 What is (-417)/(-7) - (-7)/(490/15)*(-56)/(-28)? 60 2340/78 - (-4 - (-10 - -15)) 39 (2/70)/((-29)/1411) - 3*14/(-30) 2/203 What is the value of 126728/2170*(4 - (-55)/(-20))? 73 Calculate 87*(-194)/(-42195) + (-3)/((-45)/474). 32 Evaluate 38 + (-33 - -46) + 11. 62 What is (5074 + -5023)/(10/(-4) + 1)? -34 Evaluate ((-22)/(-168))/((-115192)/(-8976)). 1/98 What is -6 + (-6 - ((34 - 44) + (-28)/9))? 10/9 What is 3390/(-96615) - (-519)/171? 3 Evaluate (-1610)/182 - 1/(-13)*(27 + -29). -9 Calculate (-6812)/(-68) - ((-36432)/1496)/(-138). 100 Calculate 56 + (28 - 62 - -1). 23 Evaluate (1/(-3))/((-1886)/(-6996) + 7167/(-26279)). 106 What is the value of ((12 - 9)*(-2)/(-8))/(51*(-9)/(-12852))? 21 What is 9/99 + (-24 - 1169700/(-48840))? 3/74 What is 2*3/(-276) + 73660/(-1986280)? -1/17 Calculate ((-90)/(-40) + -2)*(-204 - 4). -52 (-88)/5764 + (-7314)/(-84364) 1/14 What is ((-305)/(-122))/((-330)/(-48)) - (-602)/(-22)? -27 Calculate (-2 + 8 - (-8453)/(-1391))/((-5 - -6)/1). -1/13 What is 6/69 - 95*(29/(-5))/(4669/406)? 48 Calculate ((-42)/20 + 1474/670)/(2/(-4))*155. -31 -18 + (-4812)/(-252) + 9 + 10/(-1) 2/21 What is the value of (2 - 2*-9) + (21756/(-2849) - 8)? 48/11 Evaluate (((-35)/(23100/(-432)))/(102/(-340)))/(2 + -5). 8/11 162/102*1292/(-1596)*21 -27 Evaluate 23/(161/(-4))*(-50)/725*21/(-6). -4/29 What is the value of (19/(-437)*2 - 1331/(-759))/(2/12)? 10 What is the value of 8303/209 - (-90)/(-33)? 37 What is the value of (492/(-990))/(3 - 0) - (-2 + 5280/2700)? -4/33 Evaluate ((-113)/(-791) + 44/(-14))/((2934/(-4))/3). 2/163 What is ((-60)/80)/(11/(-154) - (2527/(-392) + -3))? -2/25 What is the value of 315/1071 - (-13032)/(-612)? -21 Evaluate 40180/656 - (40 - -20). 5/4 What is the value of 8/6 + -2 - ((-21)/30)/(123/(-5330))? -31 What is 322/(-690) - 2278/255? -47/5 Calculate 7*2 - 59/((-2478)/(-1134)) - 21. -34 Evaluate 34/12 + 0 + -27*74/1332. 4/3 What is (-16 + 6)/10*(-24 - -16 - 16)? 24 What is -6 + (1*(-12 - (5 + -6)) - (-47637)/2814)? -1/14 What is ((-368)/552 + (28/24 - 0))*(-12)/(-22)? 3/11 What is (-2884)/(-609) - (-878)/(-12731)? 14/3 What is the value of 39200/900 + -34 - 8? 14/9 (3/(-2))/((-2121)/(-5656))*(-2)/8 1 What is (7 - 2)*2*(-4408)/11020? -4 What is (-40)/260*(-1)/20 + 15/(-450)? -1/39 What is the value of 13 + (-2886)/72 - (885/180 - 5)? -27 ((975/45 - 20)*6/14)/5 1/7 What is (-300)/(13 + 2) + 374/18 + 0? 7/9 What is the value of -44 + 31 - (-1)/((-18)/(-218))? -8/9 What is (-45)/(-144)*-4 + -311*(65/20 + -3)? -79 What is (1583/58571)/((-3)/6)? -2/37 2 - ((-156)/351 - 4926/(-1485)) - (-52)/(-130) -14/11 What is 98/(-40)*10/35*8/(-70)? 2/25 Evaluate 9/(2673/(-7524)) + 27. 5/3 (464/2436)/(3*(-20)/(-270)) 6/7 ((-9432)/(-837) - 8) + 96/1488 10/3 Calculate (-20580)/(-98)*(-3)/(-9). 70 What is (100/8*2)/(-261 - -256)? -5 Calculate (-2880)/(-3120) + (-2220)/(-130). 18 What is -1235 + 1235 - (-2)/(-340)*4? -2/85 What is ((-40)/110)/((-600)/132) + 4/((-1200)/1884)? -31/5 Evaluate (
{ "pile_set_name": "DM Mathematics" }
3, t? f Let g = 6 + -6. Let x be (g - -2)/(-2 - 2). What is the second smallest value in x, 4, -3? x Let b be (-3 + 13/5)*-15. Suppose 2*r - 4*r = b. What is the smallest value in -2/11, -1/15, r? r Suppose 0 = -3*r + 8*r + 15. Let j be r/(-5)*(-10)/15. What is the second biggest value in -2, j, 0.5? j Let j = 24 - 550/23. Which is the second biggest value? (a) 0 (b) -0.4 (c) 5 (d) j d Let j = -14 + 14.12. Let m = j + 1.88. Which is the third biggest value? (a) m (b) -1 (c) 1/3 b Let w = 45 - 44. Which is the biggest value? (a) 0.5 (b) w (c) 2/9 (d) -1 b Let v = -1 + 0.7. Let g be (-5)/3*(-66)/55. What is the biggest value in -3/7, v, g? g Let a = 0.01 + -0.31. Let v = 0.032 + -0.532. What is the third smallest value in -2/3, a, v? a Let r = -2/7 + 23/56. Let x = 55 + -56. What is the second smallest value in -5, r, x? x Let i = -2.1 + 3.1. Which is the biggest value? (a) -5 (b) 4 (c) i b Let l = 1.02 + -5.02. Suppose -3*z = x + 39, -4*z + 5*x + 27 = -5*z. Let b be 1 - (z/(-5) + -1). What is the biggest value in 2, l, b? 2 Let r = -0.2 + 0.1. Let d(h) = h**3 - 5*h**2 - 6*h. Let c be d(6). Suppose -3*t + t + 10 = c. What is the third biggest value in r, t, -0.3? -0.3 Let z = -0.8 - -0.7. What is the second biggest value in z, 4, -2/3? z Let z be 3/(-2) - 49/(-42). Let w = -4 - -3.8. Which is the smallest value? (a) w (b) z (c) 2/9 b Let l = -104 - -108.04. Let n = l + -0.04. Let i = -20 - -21. Which is the second biggest value? (a) i (b) n (c) -1 a Let v = 172/161 - 18/23. Which is the smallest value? (a) 0 (b) 1/3 (c) 3 (d) v a Let l be 8/(-14)*(-1)/4. Let u = 42 + -42.5. What is the third biggest value in u, l, 3? u Let s = -0.9 + 0.8. Let h be -6 + 8 - 4*3. Let y be 2 + (-1)/(h/(-18)). Which is the third smallest value? (a) y (b) 0.5 (c) s b Let g = 0.21 - 0.2. Let q = g - 5.01. Suppose -8*y + 3 = -5*y. Which is the biggest value? (a) q (b) -0.3 (c) y c Let z = 0.06 + -0.11. What is the third biggest value in z, 0.2, -1? -1 Let n = -2/7 + 4/63. Let c(t) = 2*t - 5. Let k be c(4). What is the smallest value in k, n, 4? n Let z = 7 + -15. Let f be 3/9*6/z. Which is the biggest value? (a) 0 (b) f (c) -5 a Let r = 0.11 + -0.18. Let l = r - -0.17. Which is the smallest value? (a) l (b) 0.5 (c) -5 c Let m = -23 + 21. Which is the second biggest value? (a) 2 (b) m (c) -3/2 (d) -1 d Let x = 1 + -3. Let p = 0.07 - -16.93. Let h = p - 17.1. What is the second biggest value in x, h, -3? x Let z be 10/6 - 2/(-6). Let n = -12.7 - -14. Let h = n - 1. Which is the second biggest value? (a) 0.2 (b) h (c) z b Suppose 4*n - 3*f + 1 = 7, 6 = -4*n - 3*f. Suppose b + n = -4. Let w be -2*((-104)/36 - -3). What is the second biggest value in b, w, 2/7? w Let s = -3649909/90 - -40555. Let i = -2/45 - s. Let x be (-7)/(-21) + 20/(-6). What is the third smallest value in i, x, -0.2? -0.2 Let w be 96/(-30) - 3/(-15). Which is the third biggest value? (a) -2 (b) -0.4 (c) w c Let v = -4 + 4.08. Let f = -5.08 + v. Let g = f + 1. Which is the third biggest value? (a) 1/4 (b) g (c) -1/2 b Let t = 2.5 - 2. Let r = -218.07 + 219. Let z = r + 0.07. What is the biggest value in 1/7, t, z? z Suppose -5 = o - 0. Let g(y) = -y + 22. Let d be g(18). Which is the third biggest value? (a) d (b) -2 (c) o c Let k = -0.25 + -0.15. Which is the third biggest value? (a) 1/6 (b) 1 (c) k c Let j = -3 - -5. Let l = 2.8 - 3.2. Which is the third smallest value? (a) l (b) 0.1 (c) j c Let q be 0 + (-2)/(6/17). Let z = q + 193/33. Which is the second smallest value? (a) -4 (b) z (c) 1/6 c Let d = 208/321 + 2/107. What is the second biggest value in 0.4, d, -5, 5? d Let x = 2 - 6. Let n = -7.1 + 6.1. What is the smallest value in 1/4, x, n? x Suppose 3 + 6 = n - t, 0 = -3*t - 15. Suppose -2*u - 3*h - 289 = 2*u, 0 = -3*h + 3. Let b = u + 221/3. What is the third smallest value in 1/3, b, n? n Let i = 0.1 + -0.6. Let m = 0.1 + 0.02. Let r = -0.12 + m. Which is the third biggest value? (a) i (b) r (c) -3 c Let w = 9.5 - 6. Let f = 0.7 + -0.2. Let u = w + f. Which is the biggest value? (a) u (b) -1/6 (c) -5 a Let x = 79 - 239/3. Let v = 269 - 268.7. Which is the second smallest value? (a) x (b) 4 (c) v c Let t be 72/189*(-3)/2. Let n = -1 + 2. Let p be n*5/3*3. Which is the second biggest value? (a) t (b) -1 (c) p a Let p = -4 + 4.4. Let x be ((-1)/2)/((-6)/12). Let b = 2 + -5. What is the smallest value in p, x, b? b Let n be 1 + 2*(-2)/7. Let g = 14 + -5. Let j = g + -10. What is the second biggest value in j, n, 0.4? 0.4 Let t = -26 - -24.3. Let u = t + 0.7. What is the second biggest value in 2/11, -2/5, u? -2/5 Let r = -0.59 + 1.12. Let q = -3.42 - r. Let c = q + -0.05. What is the second biggest value in c, 0.3, 2? 0.3 Let z = -0.223 + 0.123. Which is the second smallest value? (a) -0.5 (b) -15 (c) z a Let c = -4.74 - -1.59. Let d = c - -0.15. What is the smallest value in d, 3, -0.4? d Let p = 5.93 + 0.07. Let d = 6.2 - p. What is the third smallest value in -5, d, -3? d Let h = -0.05 + 2.05. Let g = 2.5 - h. Let l be 30/8 + (-2)/(-8) - 3. What is the third biggest value in l, 0.3, g? 0.3 Let k = 18.3 + -18. What is the biggest value in k, 2, -7, -1/2? 2 Let b = -0.6 + 0.3. Let y = b - 0. Let o = -0.2 + -0.3. What is the third smallest value in -4, y, o? y Let f = 134.7 + -136. What is the fourth biggest value in 4, -1, 1, f? f Let g = 0.26 - -0.74. What is the third smallest value in -2, 6, g? 6 Let h = 0.2 - 0.16. Let m = 6.04 - h. Let f = m - 5.7. Which is the third smallest value? (a) f (b) -0.1 (c) -5 a Let l = -28 + 0. Which is the second smallest value? (a) 3 (b) 4/3 (c) l b Let r = 2 - 1.8. Suppose 0*w + 67 = 3*w - 5*l, 4*l + 92 = 4*w. Let j be (-1)/7*28/w. Which is the smallest value? (a) j (b) r (c) -0.4 c Let x = -169 - -168. Let v = 0 - -0.2. Which is the smallest value? (a) x (b) 4 (c) v a Let k = -0.128 + -10.872. What is the third smallest value in -0.5, -4, k? -0.5 Let x = -12 + 8. Let u = 19725/4 + -4959. Let w = u + 28. Which is the second smallest value? (a) x (b) w (c) 0.5 b Let x = 2.03 - 0.03. Let d = 0.26 - 0.3. Let a = 0.46 - d. What is the second smallest value in a, 4/7, x? 4/7 Let t = 2.98 + 0.02. Let k = -3 + 12. Let z be 2/(-10) + k/20. Which is the second biggest value? (a) t (b) z (c) 2/3 c Let j = 2.3 + -5.3. Let s = 1 - j. Which is the second smallest value? (a) s (b) 0 (c) -2/19 b Let w = 0.9 - 0.8. Let d = w - 0.1. What is the third biggest value in d, 2, -3? -3 Let w = -71 - -66. Which is the smallest value? (a) 1/10 (b) -3/4 (c) 3 (d) w d Let h be (-63)/(-98)*(-7)/(-6). What is the third smallest value in h, 5, 2? 5 Let d = -1/146 + -287/730. What is the smallest value in -5/8, 0.5, -0.5, d? -5/8 Let w be (-9)/39*(-6)/(-9). What is the third smallest value in w, 0.3, -1? 0.3 Let l be (-152)/(-1)*(-1)/(-5). Suppose -g - 4*g + 150 = 0. Let r = g - l. Which is the second smallest value? (a) -2/9 (b) -4 (c) r c Let r = -0.01 - -0.41. Let h = r - -6.6. Let i = h - 7. Which is the third smallest value? (a) -2 (b) 0.3 (c) i b Let y(z) = z + 4. Let w be y(-4). Let q be (-45)/24*(w + 4). Let l = 8 + q. What is the second biggest value in 1, l, 0.2? l Suppose r - 5*r = 4*u + 16, 4*u = 5*r - 16. Which is the third smallest value? (a) r (b) 0.4 (c) 1 c Let v = -315.3 + 300. Let l = 16 + v. Let z = l - 1. What is the second biggest value in -6, z, -0.2? z Let s = 0.18 + -5.18. Which is the second smallest value? (a) 0.1 (b) -15 (c) s c Let t = 3 + -1. Let x be t - 4 - (-18)/2. Suppose -2*r + x*r = -25. Which is the biggest value? (a) 1 (b) r (c) 0.2 a Let j = -166 + 167. Let h be -3*(-2)/28*4. What is the second biggest value in j, h, 1/6? h Suppose 7*s = 3*s. Let z = -5.6 + 6. Which is the second smallest value? (a) s (b) -2/9 (c) z a Let o = 5 - 1. Suppose 0*a - o = -2*a. Let b be ((-21)/(-30))/(-7)*a. What is the biggest value in 2, b, 2/5? 2 Let g = -4037/15 - -269. Which is the biggest value? (a) -5 (b) g (c) 0 c Let j = -439/306 - -14/17. Let n = -1/9 - j. Let d = n - 2/3. What is the second biggest value in d, -2, -1/7? d Let p be (1/(-12))/((-14)/(-42)). Suppose 17 = -5*d + 42. Suppose 5*a - c + 11 = 0, -1 = -4*a + 2*c - 5. What is the s
{ "pile_set_name": "DM Mathematics" }
of b(a). Let w(v) = 4*v**2 - 2*v**2 - 4*v**2. Determine s(w(c)). -36*c**4 Let j(p) = 5*p**2 - 3. Let c(f) be the first derivative of -5/3*f**3 + 0*f**2 - 2 + 4*f. Let b(v) = 3*c(v) + 4*j(v). Let d(x) = -x. Give d(b(o)). -5*o**2 Let b(z) = 124*z + 2. Let f(c) = 8*c + 63. What is b(f(u))? 992*u + 7814 Let d(m) = 1009*m - 1. Let q(x) = 129*x**2. Calculate d(q(u)). 130161*u**2 - 1 Let z(u) = -24*u + 9. Let j(f) = 35*f**2. What is z(j(y))? -840*y**2 + 9 Let j(s) = 29*s**2. Let v(m) = -7*m + 5. Let x(a) = -6*a + 4. Let b = -7 + 12. Let k(p) = b*x(p) - 4*v(p). What is j(k(o))? 116*o**2 Let n(f) = -18*f. Let g(x) = -38*x**2 + 133. What is n(g(w))? 684*w**2 - 2394 Let k(n) = 208 + 8*n - 208. Let h(z) be the third derivative of -z**4/24 - 2*z**2. Determine h(k(o)). -8*o Let w be 19/(-2)*(-392)/1862. Let j(y) be the first derivative of 3 + 0*y - 3/2*y**w. Let f(o) = 5*o. What is f(j(v))? -15*v Let f(b) = -b. Let a(d) = d**2 + d. Let j(n) = -5*n**2 - 2*n + 42. Let r(k) = 2*a(k) + j(k). Give r(f(q)). -3*q**2 + 42 Let a(r) = -89*r**2. Let m(q) = -33*q**2. Calculate a(m(v)). -96921*v**4 Suppose 4*u + w - 6 = 0, u = -2*u - 4*w - 2. Let j(b) = 0*b - u*b + 18*b - b. Let f(v) = -v**2. Calculate f(j(c)). -225*c**2 Let h(c) = -c**2 - 14*c + 230. Let n(f) = 135*f**2. What is h(n(a))? -18225*a**4 - 1890*a**2 + 230 Let z(j) = 37*j. Let n(a) = -9692*a**2. What is z(n(y))? -358604*y**2 Let g(d) = -26*d**2. Let u(i) be the second derivative of 0*i**2 + 36*i - 1/3*i**3 + 0. What is g(u(k))? -104*k**2 Let k(x) = 2*x**2. Let c(o) be the third derivative of -o**7/2520 - 7*o**4/24 - 14*o**2. Let v(s) be the second derivative of c(s). What is v(k(y))? -4*y**4 Let k be 1182/27 - (-4)/18. Suppose -2*a = -5*y - 41, 61 = 4*a - 3*y - 0*y. Let m(v) = k*v - 15*v - 8*v - a*v. Let r(l) = 4*l. What is r(m(x))? 32*x Let h(q) = q. Let y(m) = -4*m + 14. Let z(k) be the second derivative of -2*k - 1/6*k**3 + 0 + 3/2*k**2. Let n(v) = -3*y(v) + 14*z(v). Determine h(n(w)). -2*w Let k = 14 + 1. Let o(j) = j + k*j + 0*j. Let u(c) = -c**2. Determine u(o(a)). -256*a**2 Let n(v) = 2*v**2. Let t(g) = -4*g**2. Let q(b) = -11*n(b) - 6*t(b). Let f(r) = -4*r**2 + 3*r**2 - 4*r**2. Give f(q(j)). -20*j**4 Suppose -2*z - z + 6 = 0. Let c(a) = z - 1 - 1 + 6*a. Let u(p) = -3*p + 43*p**2 - 45*p**2 + 3*p. Determine u(c(q)). -72*q**2 Let t(q) = 253*q - 39. Let k(l) = 5*l. Determine t(k(b)). 1265*b - 39 Let k(d) = -4*d**2. Let o(x) = 18*x**2 + 2. Let j(s) = 10*s**2 + 1. Let u(q) = 11*j(q) - 6*o(q). Calculate u(k(n)). 32*n**4 - 1 Let a(c) = 50*c**2. Let v(f) = 2*f**2 + 222*f. Give v(a(o)). 5000*o**4 + 11100*o**2 Let a(k) be the first derivative of k**2/2 + 2. Let x(h) = h - 2. Let t be x(4). Let d(z) = 2*z**2 - 3*z**2 + 9*z**t. Calculate d(a(m)). 8*m**2 Suppose -2*j = 6 + 2, 5*j = 5*k - 35. Let n(v) = 5*v - v - k*v + v. Let t(m) = m**2 + m. Let q(h) = -11*h. Let c(u) = q(u) + 11*t(u). Calculate n(c(i)). 22*i**2 Let d(r) = -2*r**2 - 10*r. Let v(y) = 28*y - 73*y**2 - 70*y + 64*y**2. Let l(p) = 21*d(p) - 5*v(p). Let z(b) = -b**2. What is z(l(x))? -9*x**4 Let k(p) = p. Let a(l) be the second derivative of 0*l**2 - 3*l + 1/6*l**4 + 0 + 0*l**3. What is k(a(j))? 2*j**2 Let y(x) = -x**2 - 7*x - 4. Let f be y(-3). Suppose -13*c = -f*c - 10. Let u(r) = 18*r**2 - 7*r**2 - 8*r**c. Let a(v) = 4*v**2. What is u(a(w))? 48*w**4 Let n(r) = r**2. Let q(k) be the second derivative of -23*k**6/360 - 2*k**3/3 + 7*k. Let d(a) be the second derivative of q(a). Give n(d(g)). 529*g**4 Let p(n) = 2*n**2 - 5*n - 5. Let i(c) = -2*c**2 + 6*c + 6. Let f(g) = -5*i(g) - 6*p(g). Let o(h) = -8*h**2. Determine f(o(r)). -128*r**4 Let q(y) = 6 + 6*y + 29 + 8 + 9*y - 12*y. Let c(h) = -h**2. Calculate q(c(j)). -3*j**2 + 43 Let m(c) = -3*c. Let b(a) = 32*a + 2527. What is m(b(r))? -96*r - 7581 Let j be (0 + 2)*(-1)/(-1). Let p(s) = j*s - 2*s - 2*s. Let u(d) = -d. Let v(t) = t. Let f(m) = u(m) - v(m). Calculate p(f(z)). 4*z Let m(s) be the second derivative of -s**4/12 + s - 7. Suppose 5*o - 17 = -2. Let v(z) = -6*z + 4*z + o*z. Give m(v(a)). -a**2 Let i = 6 + -3. Let j(x) = x**2 - i*x**2 + x**2. Let n(s) be the second derivative of -4*s**3/3 - 1878*s. Determine n(j(y)). 8*y**2 Suppose 4*k - 2*k - 10 = 0. Let s(n) = n + 2*n + 0*n - k*n. Let x(f) = 8*f. Calculate x(s(y)). -16*y Let u(s) = 3*s. Let r(q) be the first derivative of 13*q**6/360 + 14*q**3/3 + 8. Let w(z) be the third derivative of r(z). What is w(u(l))? 117*l**2 Let i(y) be the first derivative of 1/3*y**3 + 0*y + 0*y**2 + 2. Let t(g) = 8*g**2 - 6*g**2 + 2*g**2. What is i(t(d))? 16*d**4 Let x(j) = 19381*j**2. Let q(n) = 5*n**2. Calculate x(q(m)). 484525*m**4 Let g(u) = -34522*u. Let r(m) = -2*m. What is r(g(c))? 69044*c Let q(i) = -2*i**2. Let j(f) be the second derivative of 13*f**3/6 - 18*f. Let z(g) = 104*g. Let b(o) = 39*j(o) - 5*z(o). What is b(q(c))? 26*c**2 Let p(t) = t. Let k(f) = 2*f**2 + 3*f + 26. Let x(j) = 2*j**2 + 2*j + 27. Let n(b) = -2*k(b) + 3*x(b). What is n(p(i))? 2*i**2 + 29 Let j(m) = 32*m + 1. Let q(v) = -2591*v. What is q(j(f))? -82912*f - 2591 Let f(a) = -13*a - 12. Let u(s) = -22*s**2 + s. Determine u(f(k)). -3718*k**2 - 6877*k - 3180 Let v(d) = -217*d. Let j(y) = -43*y**2 + y + 5. Calculate j(v(q)). -2024827*q**2 - 217*q + 5 Let u(m) = 2*m**2. Let g = 966 + -966. Let c(z) be the third derivative of 0*z + 0*z**3 - 7*z**2 - 1/24*z**4 + g. What is u(c(r))? 2*r**2 Let x = -61 + 58. Let t(o) = -2*o. Let p(u) = u. Let a(k) = x*t(k) - 8*p(k). Let y(s) = 6*s. Give y(a(l)). -12*l Let c(j) = 2*j**2. Let t(r) be the third derivative of r**7/504 - 5*r**4/12 - 17*r**2. Let d(h) be the second derivative of t(h). Calculate d(c(p)). 20*p**4 Let s(g) = 2*g. Let q(l) be the second derivative of -2*l**3/3 - 4*l**2 + 40*l - 1. Determine q(s(r)). -8*r - 8 Let k(j) = -j**2 - 2901 + 2901. Let c(n) = -211*n**2 - 2. Give c(k(v)). -211*v**4 - 2 Let w(x) = -16. Let v(u) = u - 8. Let y(r) = -2*v(r) + w(r). Let z(l) = -l**2 - l**2 - l**2. Give y(z(s)). 6*s**2 Let i(x) = -30*x**2. Let q(g) be the first derivative of 4*g**3/3 - 165. Determine q(i(t)). 3600*t**4 Let y(k) be the first derivative of 3*k**2 + 3*k - 1. Let s(p) be the second derivative of p**3/6 + 389*p. Give s(y(r)). 6*r + 3 Let x(d) = 4*d. Let t(l) = 2 + 46*l**2 + 9135*l - 9135*l. Give t(x(c)). 736*c**2 + 2 Let h(l) = 69*l. Let v(q) = 2*q**2 + 10*q - 10. Let p(c) = c - 1. Let n(z) = -10*p(z) + v(z). Calculate n(h(g)). 9522*g**2 Let z(a) = a**2. Let n(y) = 1170. Let h(r) = -r - 2. Let t(k) = 585*h(k) + n(k). Calculate t(z(o)). -585*o**2 Let l(a) = 15*a - 469*a**2 - 5 + 3 + 467*a**2 + 2. Let x(u) = 4*u. What is l(x(o))? -32*o**2 + 60*o Let r(j) = 10779*j**2 + 45*j - 45*j - 10777*j**2. Let u(o) = 73*o**2 + 5. Let t(v) = 220*v**2 + 14. Let p(x) = 5*t(x) - 14*u(x). What is p(r(b))? 312*b**4 Let t(j) = 3*j**2 + 9. Let i(f) = f**2 + 4*f - 2. Let l(y) = -3*y**2 - 14*y + 7. Let s(g) = 14*i(g) + 4*l(g). Determine t(s(o)). 12*o**4 + 9 Let x = -20 + 19. Let i(k) = k. Let d(p) = -16*p**2 + 16*p. Let c(w) = x*d(w) + 16*i(w). Let l(s) = s**2. Determine l(c(v)). 256*v**4 Let a(p) be the second derivative of -43*p**4/24 - p**3/6 + 45*p**2/2 + 27*p. Let f(y) be the first derivative of a(y). Let v(t) = -2*t. Give f(v(h)). 86*h - 1 Let v(w) = -7*w - w - 7*w. Let c(h) = 5*h + 6. Let n(d) be the second derivative of 7*d**3/3 + 17*d**2/2 - 3*d. Let f(u) = -17*c(u) + 6*n(u). Give v(f(j)). 15*j Let j(h) = 23*h. Let x(q) = -10878*q**2. What is x(j(z))? -5754462*z**2 Let f(o) = -o. Let m(y) = 2*y. Let v(i) = -8*f(i) - 5*m(i). Suppose 4*g + 5 - 29 = 0. Let q(z) = -g*z + 17 - 17. Calculate v(q(d)). 12*d Let h(w) = 4*w**2. Let s(z) = z - 72670. Give s(h(g)). 4*g**2 - 72670 Let g(a) = -a. Let k(p) = -24*p. Let i(z) = z**3 + 14*z**2 - 17*z + 6. Let q be i(-15). Let j(m) = q*g(m) - k(m). Let o(y) = 3*y**2. Determine o(j(s)). 432*s**2 Let a(t) = 4*t**2 - 4*t - 4. Let j(r) = -r**2 - r - 1. Suppose -8 = -16*q + 18*q. Let o(m) = q*j(m) + a(m). Let z(u) = -u**2. Determine z(o(x)). -64*x**4 Let q(w) = 2*w**2 + 61. Let s(l) = -l**2 - 12. Let h(j) = -j**2 - 10. Let g(i) = -6*h(i) + 5*s(i). Determine q(g(m)). 2*m**4 + 61 Let m(l) = 53*l + 5. Let h(o) = 2*o + 1. Let u(f) = 3*h(f) - m(f). Let w(d) = -7*d**2. Give u(w(s)). 329*s**2 - 2 Let w(g) = -17*g. Let h(k) = -23*k**2
{ "pile_set_name": "DM Mathematics" }
? 65755 What is 1450779908 to the power of 1/8, to the nearest integer? 14 What is 60353232 to the power of 1/2, to the nearest integer? 7769 What is the square root of 46680074 to the nearest integer? 6832 What is the cube root of 759767421 to the nearest integer? 912 What is the fourth root of 2765502470 to the nearest integer? 229 What is 41790774 to the power of 1/8, to the nearest integer? 9 What is 332849618 to the power of 1/3, to the nearest integer? 693 What is the sixth root of 71927569 to the nearest integer? 20 What is 1027125003 to the power of 1/2, to the nearest integer? 32049 What is 3755365190 to the power of 1/3, to the nearest integer? 1554 What is 34889868 to the power of 1/10, to the nearest integer? 6 What is the fourth root of 12337796 to the nearest integer? 59 What is 2830466822 to the power of 1/2, to the nearest integer? 53202 What is 71864558 to the power of 1/6, to the nearest integer? 20 What is the cube root of 349901865 to the nearest integer? 705 What is 1177382456 to the power of 1/2, to the nearest integer? 34313 What is the ninth root of 59709179 to the nearest integer? 7 What is the sixth root of 248771813 to the nearest integer? 25 What is the ninth root of 1579156880 to the nearest integer? 11 What is the square root of 3991778 to the nearest integer? 1998 What is the third root of 48200952 to the nearest integer? 364 What is 20095672 to the power of 1/2, to the nearest integer? 4483 What is 2418174512 to the power of 1/2, to the nearest integer? 49175 What is 86620984 to the power of 1/10, to the nearest integer? 6 What is the ninth root of 220229569 to the nearest integer? 8 What is the tenth root of 132742532 to the nearest integer? 6 What is 1127636330 to the power of 1/3, to the nearest integer? 1041 What is 38098789 to the power of 1/8, to the nearest integer? 9 What is the tenth root of 110197196 to the nearest integer? 6 What is 1786212602 to the power of 1/2, to the nearest integer? 42264 What is 160418590 to the power of 1/8, to the nearest integer? 11 What is the sixth root of 2264433651 to the nearest integer? 36 What is the third root of 17151254 to the nearest integer? 258 What is the eighth root of 88519422 to the nearest integer? 10 What is the third root of 6805323787 to the nearest integer? 1895 What is 216499572 to the power of 1/2, to the nearest integer? 14714 What is the third root of 16565095 to the nearest integer? 255 What is 601840 to the power of 1/7, to the nearest integer? 7 What is 482580017 to the power of 1/2, to the nearest integer? 21968 What is the third root of 669312334 to the nearest integer? 875 What is the square root of 1253746022 to the nearest integer? 35408 What is 119520735 to the power of 1/7, to the nearest integer? 14 What is the square root of 1010072 to the nearest integer? 1005 What is 8940940 to the power of 1/2, to the nearest integer? 2990 What is 129103204 to the power of 1/7, to the nearest integer? 14 What is the ninth root of 151576064 to the nearest integer? 8 What is 43783326 to the power of 1/5, to the nearest integer? 34 What is the square root of 103089495 to the nearest integer? 10153 What is 322384289 to the power of 1/9, to the nearest integer? 9 What is 177610879 to the power of 1/2, to the nearest integer? 13327 What is the tenth root of 3210455331 to the nearest integer? 9 What is 22807317 to the power of 1/10, to the nearest integer? 5 What is the square root of 130610417 to the nearest integer? 11428 What is the square root of 79387613 to the nearest integer? 8910 What is 306222207 to the power of 1/2, to the nearest integer? 17499 What is the eighth root of 198523201 to the nearest integer? 11 What is 6315864095 to the power of 1/4, to the nearest integer? 282 What is the third root of 1051956059 to the nearest integer? 1017 What is the cube root of 212518512 to the nearest integer? 597 What is the cube root of 222453341 to the nearest integer? 606 What is the cube root of 1499761811 to the nearest integer? 1145 What is the square root of 10507127 to the nearest integer? 3241 What is the third root of 61689171 to the nearest integer? 395 What is the ninth root of 59460514 to the nearest integer? 7 What is the square root of 101801070 to the nearest integer? 10090 What is 232836109 to the power of 1/3, to the nearest integer? 615 What is the cube root of 6069778157 to the nearest integer? 1824 What is the fifth root of 15632314 to the nearest integer? 27 What is the third root of 23652754 to the nearest integer? 287 What is the cube root of 26872424 to the nearest integer? 300 What is 100394137 to the power of 1/2, to the nearest integer? 10020 What is the seventh root of 2024788937 to the nearest integer? 21 What is 662930008 to the power of 1/3, to the nearest integer? 872 What is the square root of 18653798 to the nearest integer? 4319 What is the square root of 33540785 to the nearest integer? 5791 What is the third root of 11235237 to the nearest integer? 224 What is 5739929819 to the power of 1/3, to the nearest integer? 1790 What is the square root of 23173794 to the nearest integer? 4814 What is the square root of 103377716 to the nearest integer? 10167 What is the square root of 2807118632 to the nearest integer? 52982 What is the eighth root of 655458194 to the nearest integer? 13 What is the ninth root of 728514081 to the nearest integer? 10 What is 863174 to the power of 1/5, to the nearest integer? 15 What is 87321760 to the power of 1/8, to the nearest integer? 10 What is the third root of 57226790 to the nearest integer? 385 What is the cube root of 100597342 to the nearest integer? 465 What is 8967198 to the power of 1/6, to the nearest integer? 14 What is 285439310 to the power of 1/3, to the nearest integer? 658 What is 56666999 to the power of 1/2, to the nearest integer? 7528 What is 182726765 to the power of 1/2, to the nearest integer? 13518 What is the cube root of 35205125 to the nearest integer? 328 What is 252895594 to the power of 1/2, to the nearest integer? 15903 What is 3291348510 to the power of 1/6, to the nearest integer? 39 What is the ninth root of 971214017 to the nearest integer? 10 What is 74314185 to the power of 1/2, to the nearest integer? 8621 What is 2933655879 to the power of 1/2, to the nearest integer? 54163 What is 80465486 to the power of 1/2, to the nearest integer? 8970 What is the eighth root of 134373554 to the nearest integer? 10 What is the cube root of 2128571408 to the nearest integer? 1286 What is 290614 to the power of 1/2, to the nearest integer? 539 What is 37799633 to the power of 1/8, to the nearest integer? 9 What is the fifth root of 51827067 to the nearest integer? 35 What is the third root of 387389409 to the nearest integer? 729 What is the fifth root of 6210701 to the nearest integer? 23 What is 2858403532 to the power of 1/3, to the nearest integer? 1419 What is 519451463 to the power of 1/3, to the nearest integer? 804 What is the cube root of 1001902557 to the nearest integer? 1001 What is the cube root of 1885706859 to the nearest integer? 1235 What is the third root of 531077653 to the nearest integer? 810 What is 4348338824 to the power of 1/2, to the nearest integer? 65942 What is the square root of 61796006 to the nearest integer? 7861 What is 1849230989 to the power of 1/5, to the nearest integer? 71 What is 1991335096 to the power of 1/3, to the nearest integer? 1258 What is 51734310 to the power of 1/3, to the nearest integer? 373 What is the eighth root of 1476633808 to the nearest integer? 14 What is 678267830 to the power of 1/2, to the nearest integer? 26044 What is 729219506 to the power of 1/2, to the nearest integer? 27004 What is 36780009 to the power of 1/6, to the nearest integer? 18 What is the third root of 10280663 to the nearest integer? 217 What is 34653693 to the power of 1/2, to the nearest integer? 5887 What is 44633710 to the power of 1/2, to the nearest integer? 6681 What is the seventh root of 38808054 to the nearest integer? 12 What is the cube root of 4143374241 to the nearest integer? 1606 What is the square root of 17446143 to the nearest integer? 4177 What is the square root of 228531458 to the nearest integer? 15117 What is th
{ "pile_set_name": "DM Mathematics" }
e derivative of n(u) wrt u? -3 Let s(b) be the first derivative of 406*b**3 + 691*b**2 + 1253. What is the second derivative of s(n) wrt n? 2436 Let m(c) be the second derivative of -190*c**3/3 + 871*c**2/2 - 21*c. Let r(x) = 127*x - 291. Let j(a) = 2*m(a) + 7*r(a). Differentiate j(o) wrt o. 129 Let t(j) be the second derivative of 2053*j**7/42 + j**4/12 + j**3/2 - j**2/2 + j + 2522. What is the third derivative of t(a) wrt a? 123180*a**2 Suppose -2 = 4*h - 126. Suppose -18 - 18 = -18*o. What is the derivative of -h*a**o + 44*a**2 - 21*a**2 + 2 wrt a? -16*a Find the third derivative of -6237*r**2 + 802*r**4 + 43734*r**3 - 43734*r**3 + r - r wrt r. 19248*r Let u(v) be the third derivative of v**6/120 + 997*v**5/60 + 77*v**4/3 - v**3/3 - 2082*v**2. What is the second derivative of u(n) wrt n? 6*n + 1994 Suppose -155 = -6*g - 59. What is the first derivative of 4*b**2 + 6*b**2 + 0*b**2 + 9*b**2 + 172 - g*b**2 - 11*b**3 wrt b? -33*b**2 + 6*b Suppose -39 = i - 41. Suppose 2*u + 3*u = 2*t + 26, i*t = 4*u - 22. Differentiate 2*f**3 - 142*f**4 + 126*f**u + 33 - 2*f**3 wrt f. -64*f**3 Let p(i) = -7*i - 1. Let o(r) = 1749*r - 1414. Let l(q) = o(q) + 2*p(q). What is the derivative of l(y) wrt y? 1735 Suppose 7*q = 8*q - 1. What is the second derivative of 0*l**2 + 42*l**3 - 28*l + q + 3*l**2 - 3*l**4 - 3*l**2 - 59*l**3 wrt l? -36*l**2 - 102*l Suppose -2*o + v + 165 = 0, 7*o - v + 250 = 10*o. What is the second derivative of 66*u + o*u + 86*u - 83*u - 45*u**5 wrt u? -900*u**3 Suppose 3*j + 137 = 5*j - m, -3*j = 5*m - 212. Find the third derivative of -13*x**5 + j*x**2 + 82*x**2 + 82*x**5 + 8*x**5 wrt x. 4620*x**2 Let z be 64/24 - (-16)/12. Find the second derivative of -78*h**4 - 8*h**z - 6*h + 20*h**4 + 5*h wrt h. -792*h**2 Let d(u) be the first derivative of -3*u**2/2 - 10*u + 6. Let r be d(-4). Find the third derivative of -4251*l**5 + 22*l**6 + 33*l**r + 4251*l**5 wrt l. 2640*l**3 Let j(u) be the second derivative of 0*u**6 + 2 + 3*u + 2/7*u**7 + 0*u**5 + 0*u**3 + 15/2*u**4 + 0*u**2. What is the third derivative of j(p) wrt p? 720*p**2 Let u(a) be the second derivative of -3137*a**5/20 - 31*a**4/3 - 1208*a. Find the third derivative of u(o) wrt o. -18822 Let q(v) = -30*v - 3. Let z(n) = 17*n - 2. Let a(o) = -o + 2. Let l(i) = 2*a(i) + z(i). Let p(u) = -9*l(u) - 4*q(u). Find the first derivative of p(b) wrt b. -15 Suppose 3*r + 4*b = 7*r - 152, 0 = r - 2*b - 41. Suppose 5*w - r = 25. What is the second derivative of 8*f + w*f + 14*f**3 - 5*f - 2*f wrt f? 84*f Let k be 2 + 12 + -7 + -1 + -3. What is the third derivative of 27*u**2 + 17*u**3 - 4*u**k + 7*u**3 wrt u? 120 Let b(f) be the third derivative of 641*f**7/105 + f**5/6 + 9*f**3 - 659*f**2. Find the third derivative of b(s) wrt s. 30768*s Let l(b) = -5055*b**2 - 6*b + 7868. Let n(z) = -10112*z**2 - 10*z + 15734. Let r(q) = -5*l(q) + 3*n(q). Differentiate r(i) with respect to i. -10122*i Differentiate -579 + 1436 + 1350 + 3695*g**3 + 1811 - 808 wrt g. 11085*g**2 Let f(z) = -28*z**2 + 18*z + 375. Let p(s) = 7*s**2 - 4*s - 93. Let m = -461 + 463. Let h(q) = m*f(q) + 9*p(q). Differentiate h(t) with respect to t. 14*t Differentiate 272*k**4 + 143*k**2 + 116*k**2 - 259*k**2 - 1393 with respect to k. 1088*k**3 Let w = -13 - -98. Let q(r) = -8*r - 38. Let z be q(-7). What is the third derivative of -w*h + 13*h**2 + 85*h + z*h**3 wrt h? 108 Let r = -60 - -64. Suppose -2*d + t + 8 = d, 0 = 2*t + r. What is the second derivative of 17*m**3 + d*m**3 + 14*m**3 + 24*m wrt m? 198*m Let j(w) be the first derivative of 153/4*w**4 - 92 - 1/2*w**2 + 0*w + 8/3*w**3. What is the third derivative of j(p) wrt p? 918 Suppose 0 = 4*m + 3*l - 21, -2*l - 13 = -2*m + 15. Suppose -5*x - 12 = -m*x. What is the first derivative of -2*p**x - 12 + 2*p**3 - 19*p**4 + 34 wrt p? -76*p**3 Find the second derivative of -8*o - 1676*o**2 + 447*o - 166*o**2 - 591*o**2 wrt o. -4866 What is the second derivative of 421*b**2 - 3062*b + 38 + 3052*b + 6224*b**2 - 200 wrt b? 13290 Let f(p) = p**4 - p**2. Let a(s) = 7*s**4 + 355*s**3 + 501*s**2 + 2*s. Let d(u) = -a(u) + 6*f(u). Find the third derivative of d(q) wrt q. -24*q - 2130 Let y(m) be the first derivative of 0*m**5 + 13*m + m**3 - 117 - 1/2*m**2 + 0*m**4 - 25/6*m**6. What is the second derivative of y(i) wrt i? -500*i**3 + 6 Let j(v) = -5*v**3 - 1. Suppose 79*n + 1 = 78*n. Let f be j(n). Find the first derivative of 7*c**f - 22 - 23*c**4 + 5 wrt c. -64*c**3 Let m = 32 + -58. Let v be (-490)/m - 8/(-52). What is the second derivative of 12*c**2 + 4*c**2 - v*c - 2*c**2 wrt c? 28 Let a = 110 - 99. Suppose a*t = 22 - 0. What is the second derivative of -214*y**2 + t*y**3 - 16*y + 213*y**2 + 58*y wrt y? 12*y - 2 What is the third derivative of -29*n**4 + 89*n**4 + 15*n**5 - 595*n + n**2 - 53*n**4 wrt n? 900*n**2 + 168*n Find the second derivative of 32*n**4 + 92*n**2 + 160*n - 4343*n - 35*n**4 - 674*n wrt n. -36*n**2 + 184 Let w = -3301/6 - -552. Let q(s) be the second derivative of w*s**3 + s**2 + 15*s + 0. What is the first derivative of q(i) wrt i? 11 Suppose 3*v = -3*u + 3, 2 = 5*v + 7. Differentiate -163*k**2 + 260*k**u + 98*k**2 + 157 with respect to k. 390*k Let x(j) be the second derivative of 949*j**6/10 + 657*j**2 - 953*j. Differentiate x(l) wrt l. 11388*l**3 Let t(d) be the first derivative of -129/2*d**2 + 0*d**3 - 3/4*d**4 + 0*d - 2/5*d**5 - 139. What is the second derivative of t(u) wrt u? -24*u**2 - 18*u Let d(n) be the second derivative of -3*n**5/5 + 5*n**4/12 - 127*n**3/3 + 3*n**2/2 - 1048*n. Find the second derivative of d(k) wrt k. -72*k + 10 Let x(b) be the first derivative of -40*b**4/3 + 42*b**2 - 112*b + 295. Let s(g) be the first derivative of x(g). Differentiate s(m) with respect to m. -320*m Let d(o) = -2*o**3 + 6*o**2 - 3*o + 3. Let z be d(2). Find the third derivative of -5*h**2 + 147*h**5 - z*h**6 + 3*h**6 - 118*h**5 wrt h. -240*h**3 + 1740*h**2 What is the third derivative of -79382*o**5 - 3*o + 79384*o**5 + 4*o - o**4 - 77*o**2 + 0*o - 6 + 3*o**6 wrt o? 360*o**3 + 120*o**2 - 24*o Suppose -1125*t + 24 = -1119*t. Find the second derivative of -155*u**2 + 18*u**t + 55*u**2 + 46*u**2 - 23*u + 55*u**2 wrt u. 216*u**2 + 2 Let y(p) be the first derivative of -7*p**5/40 - 65*p**4/24 - 41*p**3/3 - 26. Let s(g) be the third derivative of y(g). What is the derivative of s(r) wrt r? -21 Let t(l) = -2*l**2 - 15*l + 11. Let b be t(-8). Suppose -b*p - 4*f + 41 = 0, 0*p + 3*f - 39 = -3*p. Differentiate 23 - 20 - p*x + 13 with respect to x. -11 Let b(x) be the second derivative of x + 53/6*x**3 + 0*x**2 - 23/3*x**4 + 26. Find the second derivative of b(j) wrt j. -184 What is the third derivative of -97637*t + 97637*t + 640*t**3 - 1991*t**2 wrt t? 3840 Let q(p) be the third derivative of -4*p**2 - 227/60*p**5 - 1/120*p**6 + 0*p**4 - 11/105*p**7 + 0*p - 1 + 0*p**3. Find the third derivative of q(w) wrt w. -528*w - 6 Find the second derivative of 2290493*v**3 + 247*v - 1 - 2290493*v**3 + 1166*v**5 wrt v. 23320*v**3 Let t = 9 - 4. Let h = 346 + -340. Find the third derivative of -20*n**5 + 60*n**t + h*n**2 + 19*n**2 wrt n. 2400*n**2 Let u be (25/15 + -1)*3. What is the second derivative of -145*h**2 - 57*h + 62*h**u + 56*h**2 wrt h? -54 Let l(v) be the first derivative of 417*v**4/2 + v**3/3 - 1184*v - 1192. What is the first derivative of l(f) wrt f? 2502*f**2 + 2*f What is the third derivative of 11624 + 6275*q**2 - 23261 - 12549*q**3 + 11637 wrt q? -75294 Suppose -5*x - 79 = -p, -4*x = -3*p + 335 - 131. Let w = -1 + p. Find the third derivative of -3*c**2 + w*c**4 - 11*c**2 - 94*c**4 wrt c. -744*c What is the second derivative of 2 + 698*d + 8 - 6 - 4 - 48*d**3 - 4*d**2 wrt d? -288*d - 8 Suppose -1 - 3 = -2*g + 4*m, g + 5*m = 2. Find the second derivative of 12*q**g + 3380*q - 3*q**2 - 5 - 3382*q + 8*q**3 wrt q. 48*q + 18 Suppose 5*x + 2*b = 323, 0 = 2*b - 8. Suppose -5 = -68*k + x*k. What is the second derivative of -43*g**2 + 14*g - 1 + 28*g**2 + k wrt g? -30 Let l(h) = h**2 - 17*h + 5. Let o be l(17). Let i(x) = -5*x**2 - 4*x - 112. Let n(g) = 3*g**2 + 2*g + 56. Let s(m) = o*n(m) + 2*i(m). Differentiate s(c) wrt c. 10*c + 2 Find the third derivative of -75*i**2 - 14*i**3 + 8*i**4 + 43 + 3*i**3 + 69*i**2 + 32 - 35*i**4 wrt i. -648*i - 66 What is the third derivative of 2
{ "pile_set_name": "DM Mathematics" }
c**2/11 - 15022669488*c/11 - 7511212178/11 = 0. -61283, -1 Factor 2*x**3/3 - 692*x**2/3 - 32510*x/3 - 31816/3. 2*(x - 388)*(x + 1)*(x + 41)/3 Find f, given that -f**5 - 91*f**4 - 2287*f**3 - 9937*f**2 - 15136*f - 7396 = 0. -43, -2, -1 Let 36*a**5 + 9152*a**4 - 165296*a**3 - 435128*a**2 + 467660*a + 123576 = 0. Calculate a. -271, -3, -2/9, 1, 19 Solve -19208*d**3 + 202272*d**2 - 706266*d + 816966 = 0. 3, 369/98 Factor 3*x**3 - 759*x**2 + 38088*x + 1314036. 3*(x - 138)**2*(x + 23) Determine i, given that 4*i**2 - 6256*i - 25088 = 0. -4, 1568 Find h, given that h**2 + 160*h - 6369 = 0. -193, 33 Solve j**4/6 - 555*j**3/2 - 154375*j**2/2 - 29921875*j/6 = 0 for j. -125, 0, 1915 Factor 3*w**4 - 2136*w**3 - 6435*w**2 - 12*w + 8580. 3*(w - 715)*(w - 1)*(w + 2)**2 Suppose -122*z**2 + 32700*z - 1072 = 0. What is z? 2/61, 268 Let -c**3 - 2721*c**2 + 41040*c = 0. What is c? -2736, 0, 15 Determine m so that -5*m**4/3 - 53*m**3/3 + 265*m**2/3 + 759*m + 420 = 0. -12, -5, -3/5, 7 What is z in z**2 - 13026*z + 13025 = 0? 1, 13025 Factor 4*h**3 + 852*h**2 - 358704*h - 359552. 4*(h - 212)*(h + 1)*(h + 424) Suppose 5*u**5 - 53365*u**4 - 53370*u**3 = 0. What is u? -1, 0, 10674 Factor 2*z**3/19 - 214*z**2/19 + 390*z/19 + 3150/19. 2*(z - 105)*(z - 5)*(z + 3)/19 Factor 2*a**4/11 + 3050*a**3/11 + 554*a**2 + 3046*a/11. 2*a*(a + 1)**2*(a + 1523)/11 Find l, given that -4*l**2 + 5396*l + 899400 = 0. -150, 1499 Suppose u**2 + 7668*u + 107156 = 0. What is u? -7654, -14 Determine v so that 173*v**2 + 15043*v - 696 = 0. -87, 8/173 Factor -m**2 - 54482*m + 381423. -(m - 7)*(m + 54489) Factor 2*o**2/7 - 2211312*o/7 + 611237595168/7. 2*(o - 552828)**2/7 Factor -24*y**3 - 1198*y**2 - 19800*y - 108216. -2*(y + 18)**2*(12*y + 167) Solve 4*c**4 + 424*c**3 + 421*c**2 + 105*c = 0 for c. -105, -1/2, 0 Suppose -2*y**3/3 - 181654*y**2/3 - 1374893712*y + 1374954264 = 0. Calculate y. -45414, 1 Find c, given that 32*c**4/5 + 4048*c**3/5 + 158146*c**2/5 + 1829546*c/5 - 4324572/5 = 0. -63, -131/4, 2 Find t such that t**5/2 + 13*t**4 + 63*t**3/2 - 781*t**2 - 32*t + 768 = 0. -16, -1, 1, 6 Let 2*u**3/3 - 2444*u**2/3 + 10478*u = 0. What is u? 0, 13, 1209 Factor -2*z**3/5 - 65*z**2 + 327*z/5. -z*(z - 1)*(2*z + 327)/5 Solve 10885*w**4 + 19290*w**3 - 92220*w**2 + 19480*w + 1440 = 0. -4, -18/311, 2/7, 2 Let 3*c**5 + 3*c**4 - 99*c**3 + 201*c**2 + 48*c - 252 = 0. What is c? -7, -1, 2, 3 Let -54485*y**2 - 926260*y - 255 = 0. Calculate y. -17, -3/10897 Factor r**3/2 + 11285*r**2 + 127170473*r/2 - 1020254792. (r - 16)*(r + 11293)**2/2 Factor c**2/3 + 86832*c - 520996/3. (c - 2)*(c + 260498)/3 Factor 3*f**4 - 201*f**3 - 660*f**2 + 2100*f. 3*f*(f - 70)*(f - 2)*(f + 5) Determine d so that d**5/11 + 23*d**4/11 + 60*d**3/11 - 368*d**2/11 - 1216*d/11 = 0. -19, -4, 0, 4 Find r such that 12*r**4 + 405*r**3 - 11862*r**2 + 67740*r - 16200 = 0. -54, 1/4, 10 Factor c**2 + 12006*c - 24016. (c - 2)*(c + 12008) Factor -2*i**3/3 - 971*i**2 + 1457*i/3. -i*(i + 1457)*(2*i - 1)/3 Solve 3*u**5 + 153*u**4 + 693*u**3 - 5217*u**2 + 2340*u + 8100 = 0 for u. -45, -10, -1, 2, 3 Factor 4*b**3 + 1784*b**2 - 52304*b + 371616. 4*(b - 14)**2*(b + 474) Let 2*i**2/9 + 2822*i/9 = 0. What is i? -1411, 0 Factor 4*k**2 - 564*k - 70720. 4*(k - 221)*(k + 80) Let -h**5/7 - 18*h**4/7 + 29*h**3 - 24*h**2 - 1012*h/7 - 624/7 = 0. Calculate h. -26, -1, 4, 6 Factor z**2/10 - 189*z/10 - 117. (z - 195)*(z + 6)/10 What is l in -4*l**5 + 100*l**4 - 164*l**3 - 2116*l**2 - 1848*l = 0? -3, -1, 0, 7, 22 Factor -2*p**3/3 + 82*p**2/3 - 932*p/3 + 704. -2*(p - 22)*(p - 16)*(p - 3)/3 Suppose 885*y**4/4 + 197*y**3/4 + y**2 = 0. Calculate y. -1/5, -4/177, 0 Let b**2/7 - 131*b/7 - 7920/7 = 0. What is b? -45, 176 Find n, given that 125*n**3 - 11175*n**2 + 219760*n + 89700 = 0. -2/5, 30, 299/5 Solve -l**3/4 - 45*l**2 + 1111*l/4 - 465/2 = 0 for l. -186, 1, 5 Factor w**4 + 81*w**3 + 308*w**2. w**2*(w + 4)*(w + 77) Factor -2*t**3/11 + 68380*t**2/11 - 584341266*t/11 - 2338459272/11. -2*(t - 17097)**2*(t + 4)/11 Determine q so that q**2/3 - 10637*q/3 - 21278/3 = 0. -2, 10639 Determine z, given that 55*z**2 - 1655*z + 150 = 0. 1/11, 30 Solve -15*d**5 - 1371*d**4 - 8331*d**3 - 14589*d**2 - 4590*d = 0. -85, -3, -2/5, 0 Factor -h**3/3 + 277*h**2/3 - 551*h/3 + 275/3. -(h - 275)*(h - 1)**2/3 What is z in -2*z**5 + 10184*z**4 - 12984570*z**3 + 51744924*z**2 + 39014784*z - 232989696 = 0? -2, 3, 2544 Factor -y**3/2 + 129519*y**2 - 16775171361*y/2. -y*(y - 129519)**2/2 Determine n so that n**3/3 - 16387*n**2/3 + 67403011*n/3 - 735496619 = 0. 33, 8177 What is b in -5*b**4 + 40650*b**3 - 82702385*b**2 + 330321900*b - 330159380 = 0? 2, 4063 Factor 4*w**2/9 + 156*w - 11488/9. 4*(w - 8)*(w + 359)/9 Factor f**2 - 13699*f + 341850. (f - 13674)*(f - 25) Solve -20*w**4 + 556*w**3 - 904*w**2 - 880*w + 1248 = 0. -6/5, 1, 2, 26 Factor 2*f**3/9 + 1892*f**2/9 - 11408*f/9 + 15232/9. 2*(f - 4)*(f - 2)*(f + 952)/9 Suppose -a**2/3 - 20*a - 300 = 0. What is a? -30 Suppose -5*c**2/6 + 185*c/2 - 3800/3 = 0. Calculate c. 16, 95 Suppose d**3/5 - 717*d**2/5 + 30039*d - 7407359/5 = 0. What is d? 71, 323 Factor -3*f**4 - 59001*f**3 + 826455*f**2 - 2893107*f. -3*f*(f - 7)**2*(f + 19681) Factor -5*u**3 + 335*u**2 + 350*u - 680. -5*(u - 68)*(u - 1)*(u + 2) Determine g so that -4*g**5/7 - 204*g**4/7 - 128*g**3 + 176*g**2 + 5760*g/7 - 5888/7 = 0. -46, -4, 1, 2 Let i**3/8 + 213*i**2/4 + 11235*i/2 - 11449 = 0. Calculate i. -214, 2 Suppose -5*f**4 + 8640*f**3 = 0. Calculate f. 0, 1728 Find r, given that -5*r**4 + 1570*r**3 + 8480*r**2 - 24719200*r = 0. -110, 0, 212 Factor -17247409*d**3 + 17421835*d**2 - 174867*d + 441. -(d - 1)*(4153*d - 21)**2 Solve 3*l**4/5 - 69*l**3 + 7218*l**2/5 - 24828*l/5 + 23496/5 = 0. 2, 22, 89 Factor -5*j**2 - 60925*j + 1342770. -5*(j - 22)*(j + 12207) Factor 2*m**3/9 + 127306*m**2/9 + 509200*m/9 + 509192/9. 2*(m + 2)**2*(m + 63649)/9 Find v, given that 45*v**5 - 2751*v**4 + 15246*v**3/5 + 3348*v**2/5 - 6504*v/5 + 288 = 0. -2/3, 2/5, 1, 60 Find o, given that -3*o**2/5 - 21042*o/5 - 104835 = 0. -6989, -25 Factor 256*z**3/13 + 2558*z**2/13 + 6380*z/13 - 50/13. 2*(z + 5)**2*(128*z - 1)/13 Find y such that 15*y**4 + 228*y**3 - 465*y**2 - 102*y = 0. -17, -1/5, 0, 2 Factor -3*o**4/8 - 3927*o**3/2 + 7860*o**2. -3*o**2*(o - 4)*(o + 5240)/8 Find r such that -r**2/2 + 16769*r/2 + 8385 = 0. -1, 16770 Solve -4*j**3/7 + 71156*j**2/7 + 20332*j + 71164/7 = 0. -1, 17791 Solve 3*m**3 + 235149*m**2 + 4609449105*m + 59883104775 = 0. -39185, -13 Suppose 9*q**5/5 - 147*q**4/5 - 642*q**3/5 - 396*q**2/5 + 696*q/5 + 96 = 0. Calculate q. -2, -2/3, 1, 20 Determine q, given that 10*q**4 + 812*q**3 + 2504*q**2 + 592*q - 2496 = 0. -78, -2, 4/5 Find v such that 2*v**5/7 + 72*v**4/7 + 916*v**3/7 + 704*v**2 + 10842*v/7 + 6760/7 = 0. -13, -5, -4, -1 Factor -6*r**4/11 + 104*r**3/11 + 2280*r**2/11. -2*r**2*(r - 30)*(3*r + 38)/11 Let l**2 + 55*l - 13286 = 0. Calculate l. -146, 91 Factor -5*h**3/2 - 12105*h**2/2 - 7320495*h/2 + 7332605/2. -5*(h - 1)*(h + 1211)**2/2 Factor -v**2/4 + 9535*v/4 - 28587/2. -(v - 9529)*(v - 6)/4 Let -3*s**5/8 + 81*s**4/8 + 501*s**3/2 + 1296*s**2 + 1056*s = 0. What is s? -8, -1, 0, 44 Suppose -2*b**4 + 74*b**3 - 424*b**2 - 1160*b = 0. What is b? -2, 0, 10, 29 Find r such that -2*r**5 - 80*r**4 - 70*r**3 + 320*r**2 + 312*r = 0. -39, -2, -1, 0, 2 Factor -6*v**2/11 + 1044*v/11 - 17670/11. -6*(v - 155)*(v - 19)/11 Find l, given that 2*l**3/3 - 2906*l**2 - 17454*l - 26190 = 0. -3, 4365 Factor -c**3/4 + 227*c**2/4 - 981*c/2. -c*(c - 218)*(c - 9)/4 What is q in 2*q**2/7 + 13794*q/7 + 72520 = 0? -6860, -37 Factor 4*p**2 + 460724*p - 460728. 4*(p - 1)*(p + 115182) Factor -3*v**2 - 11415*v + 22842. -3*(v - 2)*(v + 3807) Let d**3/4 + 797*d**2/4 - 97811*d/2 + 48706 = 0. Calculate d. -994, 1, 196 Find o, given that -o**2/6 - 667673*o/3 - 445787234929/6 = 0. -667673 Find a such that -2*a**2/7 - 2432*a/7 - 2430/7 = 0. -1215, -1 Factor 3*k**3/2 - 2091*k**2/2 + 363309*k/2 + 365403/2. 3*(k - 349)**2*(k + 1)/2 Find y, given that y**5/2 + 25*y**4 + 356*y**3 + 1033*y**2 - 713*y/2 - 1058 = 0. -23, -4, -1, 1 Determine o so that o**2/5 + 51346*o/5 - 51351 = 0. -51351, 5 Suppose a**3 + 12*a**2 - 43*a - 630 = 0. Calculate a. -10, -9, 7 Factor 2*b**4 - 734*b**3 + 13224*b**2. 2*b**2*(b - 348)*(b - 19) Factor 35*p**2 + 3185
{ "pile_set_name": "DM Mathematics" }
228*a. 855*a Collect the terms in 3*k + 16953319139997757 - 16953319139997756. 3*k + 1 Collect the terms in -604*w**3 + 161 - 50*w**2 + 348*w**2 + 602*w**3. -2*w**3 + 298*w**2 + 161 Collect the terms in 36165*v**2 + 5*v - 5*v - 6 + 42352*v**2. 78517*v**2 - 6 Collect the terms in -106*q - 285499 + 82*q + 285499. -24*q Collect the terms in 1049*w + 176*w + 820*w + 1192*w. 3237*w Collect the terms in -6289 - 11*g + 6316 - 8*g + 18*g - 2*g. -3*g + 27 Collect the terms in 77*c**3 + 101*c**3 - 14*c**3 - 198556*c**2 + 198557*c**2. 164*c**3 + c**2 Collect the terms in -15686*a + 4 + 2 - 4 - 1 - 2. -15686*a - 1 Collect the terms in -503*u**2 + 174*u**2 - 549*u**2. -878*u**2 Collect the terms in -150*w**3 - 85*w**3 + 295*w**3 - 81*w**3. -21*w**3 Collect the terms in 4*b - 4*b - 98 + 340*b**3 + 103. 340*b**3 + 5 Collect the terms in 36909*x**3 + 464982*x - 464982*x. 36909*x**3 Collect the terms in 20549*m**2 - 65561 + 65561. 20549*m**2 Collect the terms in 63*z**2 - 2420*z**3 - 2563*z**3 - 62*z**2 - 905*z**3. -5888*z**3 + z**2 Collect the terms in 450*x - 184*x + 5 - 171*x - 73*x. 22*x + 5 Collect the terms in 15*k**3 + 119*k**2 + 389*k**2 - 6*k**3 - 69*k**2. 9*k**3 + 439*k**2 Collect the terms in 13*c**2 + 18235*c - 36514*c + 18216*c. 13*c**2 - 63*c Collect the terms in -118*n - 78 - 532 - 64 + 674. -118*n Collect the terms in 2 - 2520*g**3 + g**2 - g**2 - 114*g**3. -2634*g**3 + 2 Collect the terms in -3 - 124438*t + 123312*t + 3. -1126*t Collect the terms in -1599667607418*d + 1599667607418*d + 7*d**2. 7*d**2 Collect the terms in 244*t + 287*t + 321*t + 275*t - 995*t. 132*t Collect the terms in -27*v**2 - 843655 - 35*v**2 + 843658 + 61*v**2. -v**2 + 3 Collect the terms in -3 + 2 + 69414*l - 4 + 1 - 70416*l + 5. -1002*l + 1 Collect the terms in -6*o + 13*o + 252*o**2 - 28*o - 8*o + 0*o + 30*o. 252*o**2 + o Collect the terms in 17103*i**2 - 215*i**2 - 3109*i**2. 13779*i**2 Collect the terms in -1323*o**2 - 1662*o**2 + 2992*o**2. 7*o**2 Collect the terms in 1910 + 71*i - 39*i - 1910. 32*i Collect the terms in -322*x**3 + 15*x + 56*x + 56*x**3 + 261*x**3. -5*x**3 + 71*x Collect the terms in 145*i**2 - 144*i**2 + 41*i + 199*i**3 - i + 46*i. 199*i**3 + i**2 + 86*i Collect the terms in 36 + 31470*w**2 - 36 + 17718*w**2. 49188*w**2 Collect the terms in -112 + 13*x + 11*x - 23*x + 323 - 111 - 100. x Collect the terms in 46*y**2 - 3 + 18 + 44*y**2 - 3*y**2 + 0*y**2 - 13. 87*y**2 + 2 Collect the terms in -14867 - 3*p + 2950 + 2964 + 2966 + 2966 + 3021. -3*p Collect the terms in -22*u + 40*u + 76*u**2 - 18*u + 1519*u**2. 1595*u**2 Collect the terms in 2 + 3607*w + 3688*w - 7188*w. 107*w + 2 Collect the terms in -910*m + 212*m + 214*m + 139*m + 187*m. -158*m Collect the terms in -95515833 + 47758027 + 47757806 - 3*q**3. -3*q**3 Collect the terms in 1303192*s**2 + 60135*s**2 + 1142148*s**2. 2505475*s**2 Collect the terms in -304*f + 1287889*f**3 + 10*f - 1287892*f**3. -3*f**3 - 294*f Collect the terms in -66656318054296 + 66656318054296 - 9*r**3. -9*r**3 Collect the terms in -1612*d + 1577*d - 58 + 47. -35*d - 11 Collect the terms in -43474*i**2 + 85991*i**2 - 42521*i**2. -4*i**2 Collect the terms in -3526*n + 9*n**3 - 15*n**3 + 4*n**3 + 12 - 10. -2*n**3 - 3526*n + 2 Collect the terms in -10945 + 51*u - u**2 + 10945. -u**2 + 51*u Collect the terms in -53 + 19066*n - 38130*n - 60 - 76 + 19066*n. 2*n - 189 Collect the terms in 32746*i**2 - 15*i**3 - 10929*i**2 - 10906*i**2 - 10911*i**2. -15*i**3 Collect the terms in 41 - 47181*o + 141738*o - 47172*o - 41 - 47235*o. 150*o Collect the terms in -3427*v**3 + v + 3*v**2 + 22781 - v**2 + 3425*v**3. -2*v**3 + 2*v**2 + v + 22781 Collect the terms in 12*k**2 + 5*k + 1773 - 9116 - 2*k - 2*k. 12*k**2 + k - 7343 Collect the terms in -2*v - 670*v**3 + 3855*v**3 + 26*v**2 + 373*v**3 + 735*v**3. 4293*v**3 + 26*v**2 - 2*v Collect the terms in 8*v**3 - 6 + 8*v**3 + 3 + 34*v**3 - 9*v**3. 41*v**3 - 3 Collect the terms in 103*a**2 + 237*a**2 - 7 + 109*a**2 + 115*a**2 - 575*a**2 + 7. -11*a**2 Collect the terms in 88*a**2 - 25 + 4*a**2 + 25 + 14650*a - 14650*a. 92*a**2 Collect the terms in a**2 - 7637*a**3 - 8410*a**3 + 14602*a**3. -1445*a**3 + a**2 Collect the terms in 161 + 431*l**3 - 426*l**3 - 108. 5*l**3 + 53 Collect the terms in 6909 + 42*x - 6*x**2 + 5*x**2 + 22*x. -x**2 + 64*x + 6909 Collect the terms in -6865688340 - 6251*f**2 + 6865688340. -6251*f**2 Collect the terms in 24366 - 2049*z - 24366 - 816*z. -2865*z Collect the terms in 3*b**2 - 17578 + 54084 - 17574 - 18932. 3*b**2 Collect the terms in 794 - 92*m - 244 - m**2 - 313 + 92*m - 237. -m**2 Collect the terms in 549*m + 14442 - 14431 - 96*m. 453*m + 11 Collect the terms in -144 + 69 + 9*h + 4390*h**3 + 76. 4390*h**3 + 9*h + 1 Collect the terms in 3693*o + 3390*o - 7088*o - 2 - 1 - 10. -5*o - 13 Collect the terms in -6541*p - 6668*p + 19779*p - 2 - 6575*p + 2. -5*p Collect the terms in -92 + 32 + 355*z + 239. 355*z + 179 Collect the terms in -41362*c**2 + 155255*c**2 + 69347*c**2. 183240*c**2 Collect the terms in -12 + 7 + 111897*m - 112708*m. -811*m - 5 Collect the terms in 39 - 5*m**2 + 65 + 75 - 20 + 4*m**3 - 24. 4*m**3 - 5*m**2 + 135 Collect the terms in 84149456*i + 84149435*i - 168298902*i. -11*i Collect the terms in 113458 + 8*h + 2*h + h + 115398 - 228856. 11*h Collect the terms in -37*p - 292406*p**2 + 292406*p**2 + 37*p + 3*p**3. 3*p**3 Collect the terms in -2272*c - 5127*c + 1 + 41803*c. 34404*c + 1 Collect the terms in 244 - 962 + 475 + 241 - 9*g. -9*g - 2 Collect the terms in 43652 - 11085 - 11090 - 10393 + 20*d - 11084. 20*d Collect the terms in 6461*n - 12560*n + 6255*n. 156*n Collect the terms in -3 + 4627*h + 7 - 3 - 5592*h - 7459*h. -8424*h + 1 Collect the terms in 2*t + 1877*t**2 - 55 - 3785*t**2 + 1869*t**2. -39*t**2 + 2*t - 55 Collect the terms in 827 + 3396*u**3 - 10201*u**3 + 3400*u**3 + 3404*u**3. -u**3 + 827 Collect the terms in -24478 - 3859*t**3 + 24478. -3859*t**3 Collect the terms in 512752183921 - 512752183921 + 101*r**2. 101*r**2 Collect the terms in 276032321*w - 138016174*w - 138016145*w. 2*w Collect the terms in 3199051 + 129*j**2 - 6398100 + 3199049. 129*j**2 Collect the terms in 31377*n**2 - 15717*n**2 - 2 - 15665*n**2 + 2. -5*n**2 Collect the terms in 127*o + 37292*o**2 + 26550*o**2 - 127*o + 32452*o**2. 96294*o**2 Collect the terms in -342677*q + 342875*q - 14 + 14. 198*q Collect the terms in -53*k + 7*k + 3 - 73*k - 96*k - 7*k. -222*k + 3 Collect the terms in a**2 - 819118382650*a + 819118382650*a. a**2 Collect the terms in -1768*d + 377*d - 2666*d. -4057*d Collect the terms in 135017*t + 185354*t + 1 - 1 + 8052*t. 328423*t Collect the terms in -166949*r + 334571*r - 167620*r. 2*r Collect the terms in -438*z + 0*z**3 - 6*z**2 + 2*z**2 + z**2 + 3*z**3 + 2*z**2. 3*z**3 - z**2 - 438*z Collect the terms in -p + 158*p**2 - 302*p**2 - 406 + 141*p**2. -3*p**2 - p - 406 Collect the terms in 863 + 859 + 11*v + 881 + 896 - 3499. 11*v Collect the terms in -11915 - 11913 - 647*q + 35742 - 11914. -647*q Collect the terms in -117739*s**3 + 58607*s**3 + 59162*s**3. 30*s**3 Collect the terms in -310473*x**3 - 150786*x**3 + 7*x**2 + 47322*x**3 - 38044*x**3. -451981*x**3 + 7*x**2 Collect the terms in 7*n**2 + 17*n**2 - 113*n**3 - 130*n**3 - 24*n**2 + 239*n**3. -4*n**3 Collect the terms in 177885*u**3 - 304463*u**3 + 126567*u**3. -11*u**3 Collect the terms in -439*i + 115*i + 109*i + 106*i + 109*i + 179*i**2. 179*i**2 Collect the terms in 33532*a - 67067*a + 33535*a - 51 - 2*a**3 + 51. -2*a**3 Collect the terms in -4475*t + 123*t**3 - 365*t**3 + 123*t**3 + 118*t**3. -t**3 - 4475*t Collect the terms in -9 + 101*z - 24 + 73. 101*z + 40 Collect the terms in 94526*s**2 + 39*s**3 - 43914*s**2 - 50612*s**2. 39*s**3 Collect the terms in -10 - 10740*b + 127 + 178 + 10738*b. -2*b + 295 Collect the terms in -1241*y - 1641*y - 384*y + 2129*y. -1137*y Collect the terms in 120*x**2 - 9*x**2 - 39*x**2 - 54*x**2 - 40*x**2 - 16*x**2. -38*x**2 Collect the terms in -916*p**2 - 86*p - 348*p**2 - 223*p**2 + 74*p**2 - 9. -1413*p**2 - 86*p - 9 Collect the terms in 284*k + 375*k - 76 + 213 - 70 - 70. 659*k - 3 Collect the terms in 1142*r + 65 - 1151*r + 32. -9*r + 97 Collect the terms in 9*z**3 + 210*z + 9*z**3 - 50*z**3 + 33*z**3. z**3 + 210*z Collect the terms in 5*v + 2
{ "pile_set_name": "DM Mathematics" }
8*t + 2*y + 10, -4*t - 3*y - 20 = 0 for t. -2 Solve -4*l + 2*z + 14 = 0, 0 = -9*l + 4*l + z + 13 for l. 2 Solve 25 = 5*g - 19*a + 16*a, 2*a - 5 = -g for g. 5 Solve 72*o - 3*i = 71*o + 5, -3*i = -2*o + 7 for o. 2 Solve 0 = -3*n + q - 2, -59*n - q + 3 = -61*n for n. 1 Solve 21 = 3*h + 3*l, 2*l - 7*l + 15 = -5*h for h. 2 Solve 5*z + 4*i + 36 - 9 = 0, -z = -i for z. -3 Solve -3*j + 4*o = 6 + 1, -3*o - 1 = 4*j for j. -1 Solve -f - 7 = 5*j, 2*f - 2*j - 2*j = 0 for f. -2 Solve 4*d = v + 15 - 31, 5*v + 4*d - 8 = 0 for v. 4 Solve 4*r - 16 = 0, 5*r = -3*q + 13 + 10 for q. 1 Solve -4*y = 3*a + 27, 7*a - 4*a = -15 for y. -3 Solve -3*n + 3*t - 10 + 19 = 0, -5*t = 3*n + 7 for n. 1 Solve 20 = 4*k, -15 = -g - 3*k - k for g. -5 Solve -q + 3 = -5*z + 14, -4*z = -5*q + 8 for q. 4 Solve 4*a = -5*m - 2, -2*m - 10 + 0 = -3*a for a. 2 Solve -3*q - 4*t = -6*q - 13, 3*q + 3*t = 15 for q. 1 Solve -2*z + 4 = 10*v - 13*v, 2*v - z = -4 for v. -4 Solve 0 = -4*g + 16, 51*d - 52*d - 15 = -4*g for d. 1 Solve -22*s + 17*s - m + 10 = 0, 0 = -5*m for s. 2 Solve -39*y + 44*y = -10, 4*g = -4*y - 28 for g. -5 Solve 16 + 12 = -3*s - 5*f, 0 = 5*f + 25 for s. -1 Solve 0 = -3*h + 15, -9*i + 5*h - 17 = -11*i for i. -4 Solve -4 = 2*y - 5*p - 24, 0 = -4*p - 8 for y. 5 Solve -3 = 3*s, -2*s - 13 = 2*a - 3 for a. -4 Solve 0 = 3*n - 12, l - 6*n = -4*n - 9 for l. -1 Solve -4*y - 1 = 5*z, 2*z + 4 = -y + 3*y for y. 1 Solve 0 = 4*h + x - 24, 4*h + 2*x - 4*x - 12 = 0 for h. 5 Solve 2*a + k = -k - 4, 3*a - 18 = 3*k for a. 2 Solve -4*u = -3*p + 17, -4*u - 39 = -5*p - 16 for p. 3 Solve 4*k - w = -16, 4*w + 10 = -6 for k. -5 Solve 3*r - v = 20, -r - 4*v - 40 = -5*r for r. 5 Solve 0 = 5*c + v + 7, 6 = 2*v for c. -2 Solve -3*n - f - 10 = 0, -23 + 38 = 3*f for n. -5 Solve 3*v + 2*k = 16, 0 = -4*v + 3*k - 0*k + 10 for v. 4 Solve -36 = -4*i + 12*g - 4*g, -2*g = i - 1 for i. 5 Solve -4*y + 3*t - 16 = -t, t = 5*y + 4 for y. 0 Solve 0*l + 1 = -u + l, -l + 9 = -5*u for u. -2 Solve -2*d - q - 5 = 0, 51*d - 48*d + q = -10 for d. -5 Solve -5*p = -4*a - 29, -p = 7*a - 9*a - 7 for a. -1 Solve 0 = -2*s + 5*k + 18, 0 = -s + 42*k - 44*k for s. 4 Solve 3*i = 5*q, -2*i - 12 + 2 = 0 for q. -3 Solve -z - 17 + 19 = -w, 0 = 4*w + 20 for z. -3 Solve 0 = 2*o + 6, 3*o + 13 - 16 = 3*q for q. -4 Solve -5*m - 12 = -9*m - l, -4*m + 12 = 3*l for m. 3 Solve -3*k - 34 = 2*k - 3*m, -k + m = 8 for k. -5 Solve -3*l = 5*r - 12, -2*l + 5 + 2 = 3*r for r. 3 Solve 8*i - 28 = 4*i - 4*w, -4*w + 20 = 0 for i. 2 Solve -3*t - 6 = 2*v, -v - 177*t + 172*t = 17 for v. 3 Solve -5*y = -7*j + 6*j - 4, 5 = 4*y + j for y. 1 Solve -2*i - 3 = r, 0 = -4*r - 2*i + 18 - 6 for r. 5 Solve 0 = 7*p + 14, -a + 2*p - 3 = -1 for a. -6 Solve -5*i + 3*q + 12 = 0, 3*q = 14*i - 18*i - 12 for i. 0 Solve 4*m + 8 = 28, 4*n - 27 = -3*m for n. 3 Solve 0 = 5*c, -5*t - 6*c = -0*t + 10 for t. -2 Solve 4*b + v - 16 = 0, -2*b - 7*v + 2*v = -8 for b. 4 Solve -3*q - 5 = r, 4*q - 2*r = -5*r for q. -3 Solve 2*y + 3*v - 2 = 7*v, v = y + 1 for y. -3 Solve 0 = -2*f + 2, -4*f - 43 + 51 = 2*s for s. 2 Solve -1372*q - y = -1376*q + 20, 3*q = 5*y + 15 for q. 5 Solve 0 = 4*l - 5 - 7, 4*v - 17 = -3*l for v. 2 Solve 4*w = -2*k - 2, 5*k + w = -10 - 13 for k. -5 Solve -3*z = r - 6, 2*r + z - 2*z + 2 = 0 for r. 0 Solve 0 = 5*i - 4*i - 4*n - 11, i = 5*n + 13 for i. 3 Solve 0 = 4*t - y - 9, -30*y + 25*y - 21 = 4*t for t. 1 Solve p - 4*p = 5*f - 16, 3*p = -2*f + 1 for f. 5 Solve 2*h - 5*h - 5*w = -13, -h + 3*w - 5 = 0 for h. 1 Solve -2*h - 3 = v, -322*h + 324*h + 4*v = -6 for h. -1 Solve 6*b - 2*b + 12 = 3*o, -5*o - 6 = 2*b for o. 0 Solve 3*g = -2*u - 10, 2*u - 4*g = -3*g + 6 for u. 1 Solve 5*o + b - 22 = 0, 44*b + 16 = 2*o + 48*b for o. 4 Solve -2 = -2*h + 5*f - 12, -h + 4*f - 11 = 0 for h. 5 Solve -2*m - 4*y + 14 = 0, 4*m - 5*y + 35 = 37 for m. 3 Solve 0 = 5*b - 15, -313 = l - 4*b - 306 for l. 5 Solve -x - 2*t - 9 = 2*x, 1 = -2*x - 3*t for x. -5 Solve 0 = -3*j - 2*r + 17 - 32, r = 5*j + 25 for j. -5 Solve -5*r + 2*p = 25, -2*r = 4*p - 20 + 6 for r. -3 Solve 2*i = -4*z - 4, -i = -4*z + 4*i + 24 for z. 1 Solve 3*n = -5*v + 7, v - 3 = 4*n + 3 for n. -1 Solve 0 = 3*w - 3*o - 2*o, 0 = 5*w + 5*o - 40 for w. 5 Solve 2*i + 1 = -5*h - 0, -2*h = -5*i - 17 for i. -3 Solve 3*l = 3*z - 12, 20 + 0 = -5*l - 5*z for l. -4 Solve 3*m + 4*p + 8 = 0, -2*p + 5*p = -5*m - 17 for m. -4 Solve -3*j - 5*c + 16 = 0, -37 + 47 = 2*c for j. -3 Solve -7*x + 10*x + 5*h + 23 = 0, 0 = 4*h + 16 for x. -1 Solve 0 = -5*j + q, -35*j = -39*j + 4*q for j. 0 Solve -q - 2 = 0, -9 = -5*n + 5*q - 4 for n. -1 Solve 20*y = 4*a + 15*y + 2, -a - 3*y = -8 for a. 2 Solve s - 2 = d, -5*d + 95*s - 91*s - 9 = 0 for d. -1 Solve -5*z + 1 = 4*u, 0 = -3*z + u + 2*u - 21 for z. -3 Solve 0 = 4*g + 4*d - 20, 0 = g - 4*d - 5 + 20 for g. 1 Solve 2*i - 16 = -2*i + 2*p, 5*p = 3*i - 19 for i. 3 Solve 0*d - 5*d = -5*k, 2*k + 3*d + 25 = 0 for k. -5 Solve 4*m + 29 = 3*q, m = 3*q - 24 + 10 for m. -5 Solve 2*y + 14 = -2*j + 2, 2 = -j + y for j. -4 Solve 5*b + 10*o - 3 = 8*o, -2*o + 2 = 4*b for b. 1 Solve -t = -53*v + 54*v, -4*t + 15 = v for v. -5 Solve -4*m + 57*b - 2 = 56*b, 0 = 4*m + 2*b - 4 for m. 0 Solve 5*n + 2*f - 2 = -1, 0 = 3*n + f - 1 for n. 1 Solve 45 = -5*y + 5*q, -5*y - 35 = q - 4*q for y. -4 Solve 4*b - 11 = -5*k, 4*b - 1 = -2*k + 1 for b. -1 Solve 2*k = h + 6, k - 17 - 4 = -4*h for k. 5 Solve 5*t + c = -0*t, 0 = 5*t + 3*c for t. 0 Solve 3*a + 8*w - 18 = 7*w, a = 5*w - 10 for a. 5 Solve -10*b = 5*f - 14*b + 37, -3*b = f - 4 for f. -5 Solve -j + 4*z - 3 = -0, -j + z = 3 for j. -3 Solve 4*i + 2*y - 4 = 0, 2*i = -7*y + 3*y + 8 for i. 0 Solve 2*u = -3*a - 0*a - 5, 4*a + 1 = 3*u for a. -1 Solve -5*b - 25 = 0, 0 = q + 3*q - 4*b - 24 for q. 1 Solve d = 0, 4*u + d + 34 = 14 for u. -5 Solve 2*j + 20 = -2*a, -59*j + a - 20 = -54*j for j. -5 Solve n - 2 = v, 4*v + n + 11 + 12 = 0 for v. -5 Solve 4*b + 35 = -3*s, -b = -2*s - 4*b - 25 for s. -5 Solve q - 5*x + 3 = 0, -137 = 2*q + 2*x - 131 for q. -3 Solve 0 = -2*s + f - 11, 0 = -4*s - 33*f + 36*f - 23 for s. -5 Solve 3*c - 4*c - 2*b = -3, -3*c + 5*b = -20 for c. 5 Solve 2*v + 3*y - 1 = 0, 2*y - 13 = v - 3 for v. -4 Solve 0 = -4*k + 3*w + 8, w - 4 + 10 = 2*k for k. 5 Solve 2*s - 3*g - 9 = 0, s - 5*g - 2 = 20 for s. -3 Solve -m + 3*m = -4, 0 = -3*n - 5*m - 7 for n. 1 Solve -2*i + 2*q + 2 = 0, 59*q + 9 = i + 60*q for i. 5 Solve 4*s - 2*d + 3 + 1 = 0, 5*s = 5*d + 5 for s. -3 Solve 0 = -2*d - 2, -3*f + d = -2 + 13 for f. -4 Solve o - 5*c + 29 = 0, 4*o + 0*c = -4*c + 4 for o. -4 Solve 2*i = 3*v + 13, 2*i - 2*v = 3*v + 23 for i. -1 Solve 2*x - 2 = -3*j, 13 + 1 = 4*x + j for x. 4 Solve -18 = -i + 4*k - 9, 3*i + 5*k + 24 = 0 for i. -3 Solve -5*u - 17 + 2 = 4*k, 1 = u for k. -5 Solve 14 = 5*b + x + 3*x, -2*b + 4*x = 0 for b. 2 Solve 2*m = -4*p, -3*p = -4*m - 11 - 11 for p. 2 Solve -3*i + 4*t - 28 = 0, 36 = -5*i - 26*t + 30*t for i. -4 Solve 18 = -m - 3*s, -s = -4*m + 2*s + 3 for m. -3 Solve 5*i + 10 = -4*f, -i + 13 = -f + 6 for i. 2 Solve -2*l = -2*x + 12, 3*l - l + 2 = 0 for x. 5 Solve 5*x = -d - 17, -6*d = x - 5*d + 1 for x. -4 Solve -3*r - 5*o + 9 = 0, -2*o + 10 - 8 = 2*r for r. -2 Solve 8 = -4*s - 0*s + 2*y, -s + 3*y - 7 = 0 for s. -1 Solve -3*o = 2*u + 8, -20*o = 4*u - 23*o - 2 for u. -1 Solve 2*o - 4*z + 23 = 7, -4*o = 2*z - 8 for o. 0 Solve -3*p + 0 = 9, 5*a - 4*p - 17 = 0 for a. 1 Solve -5*z - 7 + 4 = -4*j, -5*j + 2*z + 8 = 0 for j. 2 Solve 0 = k - 4*i + i + 4, -3*i + 29 = 4*k for k. 5 Solve -5*h = 4*i - 6*i - 15, -3*i = h + 14 for i. -5 Solve 5*u = 4*b - 25, 2*u + 2*b + 3*b + 10 = 0 for u. -5 Solve -282*p + 278*p + 2*l = 2, 23 = 4*p + 3*l for p. 2 Solve 3*l - 12 = 0, 5*q + 1 = 5*l - 4 for q. 3 Solve -3*p + a = 15, -5*a = -15*p + 12*p - 15 for p. -5 Solve 3*o - 24 = -3*w, -4*o = w - 98 + 75 for o. 5 Solve -3*f - 5 = 5*x, 0*f = -x + f - 1 for x. -1 Solve -2*b + 2 = 3*c, 5*c - c + 5*b = -2 for c. 2 Solve -2*t + 5*t + h - 18 = 0, 5*t = 2*h + 19 for t. 5 Solve 0 = -4*j + 20, -14*d = -9*d - j - 15 for d. 4 Solve -4*f + 14 = q + 13, f = -3*q + 14 for f. -1 Solve 5*l - l = -q + 1, l - 3*q = -16 for l. -1 Solve z - 4 = -3*i - 2, 0 = 5*i - 5*z + 10 for i. 0 Solve -5*t = -45 + 60, 2*t + 1 = -y for y. 5 Solve 3*s = s + 4*x - 12, -3*s - x - 11 = 0 for s. -4 Solve 4*n + 2*c = -6, 18 = -5*n - 4*c + 3 for n. 1 Solve -2*m = -6
{ "pile_set_name": "DM Mathematics" }
nd derivative of -a**6/120 - 2*a**3/3 + a**2/2 - 3*a. Let g(z) be the first derivative of w(z). Find the first derivative of g(q) wrt q. -3*q**2 Suppose 4*s = -0 + 12. Let b = -4 + 6. Find the second derivative of -k + b*k**3 - k**s - 2*k**3 wrt k. -6*k Let p(j) = j**2 - 4*j + 3. Let o be p(3). Suppose 0 = -o*z + z. Differentiate -1 - 2 - 2*q + z*q with respect to q. -2 Suppose -4 = 3*f + 5. Let b be (-3 - f) + 0 - -2. Find the third derivative of 5*y**3 - b*y**3 + 0*y**2 + 4*y**2 wrt y. 18 Let d = -9 - -13. What is the second derivative of 3*h + 4*h**4 + 0*h**4 - h**d wrt h? 36*h**2 Suppose 3*u + 2 = 4*u. Find the second derivative of b**2 + b**2 - 5*b + 0*b**u + 2*b wrt b. 4 Let o(s) be the first derivative of -s**5/4 + 9*s**2/2 - 8*s + 6. Let l(h) be the first derivative of o(h). What is the first derivative of l(u) wrt u? -15*u**2 Let a(i) be the third derivative of 23*i**7/210 - 5*i**3/3 + 18*i**2. What is the first derivative of a(o) wrt o? 92*o**3 Let u(p) = 2 - p + 5*p**2 - 2*p**3 + 3*p**3 - 4. Let x be u(-5). Find the second derivative of -x*b + b - b + b**4 + 0*b wrt b. 12*b**2 Let a(i) = -1 + 4*i - 5*i**3 - 6 + 0*i**3. Let u(p) = -11*p**3 + 9*p - 15. Let d(w) = 9*a(w) - 4*u(w). What is the first derivative of d(k) wrt k? -3*k**2 Let d(a) be the first derivative of -a**6/120 + a**4/6 + a**2 - 6. Let p(q) be the second derivative of d(q). What is the second derivative of p(s) wrt s? -6*s Suppose -12 = -26*o + 22*o. Let k(f) be the first derivative of 0*f**2 - 3 - 3/4*f**4 + 0*f + 2/3*f**o. Find the third derivative of k(a) wrt a. -18 Suppose 0 = -4*g - 3*s + 23, 5*g - s = -5*s + 30. Suppose -g*q = 0, 4*q - 6 = -0*w - 3*w. What is the third derivative of -1 + 1 - 2*b**2 + w*b**6 wrt b? 240*b**3 Suppose -3*m + 13 = -d, -5*d = -13 + 33. Differentiate 1 + 5*r - 7 + m wrt r. 5 Let y(o) be the first derivative of -2 + 0*o**2 + 0*o - 1/4*o**4 + 2/3*o**3. What is the third derivative of y(z) wrt z? -6 Let l be (2*-1 + 1)*-3. Differentiate l*p**3 + 4*p - 3 - 3*p - p with respect to p. 9*p**2 Let n(u) = 6*u + 9. Let f(g) = 6*g + 9. Let b(d) = 4*f(d) - 3*n(d). Differentiate b(r) wrt r. 6 Let b(r) = 27*r**3 - 5*r**2 - 6. Let o(p) = 27*p**3 - 6*p**2 - 5. Let c(h) = -5*b(h) + 6*o(h). Find the third derivative of c(i) wrt i. 162 Differentiate -11 + 9*d**3 + 3 + 0 with respect to d. 27*d**2 Let p = 19 - 8. Let g = -7 + p. Differentiate 0*f**g - 2*f**4 + 0 + 2 with respect to f. -8*f**3 Let k be (3/4)/((-1)/(-4)). Let h = k - 3. Find the third derivative of -4*g**2 + g**2 - g**4 + 4*g**4 + h*g**4 wrt g. 72*g Let j(y) = -3009*y - 2301. Let b(d) = -64*d - 49. Let o(m) = -236*b(m) + 5*j(m). Differentiate o(v) with respect to v. 59 Let h be 2/9 - 4/18. Suppose l + 0*l = h. Find the second derivative of l*j**4 + 0*j - j**4 + j wrt j. -12*j**2 Let g(p) = -p**2 - 6*p - 6. Let a be ((-4)/(-10))/(1/(-10)). Let y be g(a). What is the derivative of -1 - y*f**3 + 1 - 3 wrt f? -6*f**2 Let h(k) be the third derivative of -k**7/7 + k**5/10 - 39*k**2. Find the third derivative of h(z) wrt z. -720*z Find the second derivative of 18*n**5 - 3*n - 5*n - 27*n**5 wrt n. -180*n**3 Let k(w) be the first derivative of 5*w - 1 + 3 + 3 - 2 - 2*w**2. Differentiate k(y) wrt y. -4 What is the third derivative of -9*t**2 - t + 8*t**5 + t + 17*t**2 wrt t? 480*t**2 Let i(d) be the first derivative of 1/5*d**5 + 0*d**4 + 2*d + 0*d**2 + 0*d**3 - 6. Differentiate i(w) with respect to w. 4*w**3 Let k(c) = c - 2. Let q be k(4). Find the first derivative of -2 + 3 - q - 2*u wrt u. -2 Let k(q) be the first derivative of q**6/6 - 4*q**3/3 + 5. What is the third derivative of k(l) wrt l? 60*l**2 Let p(l) = 3*l - 3. Let s be p(2). What is the second derivative of s*n**3 + 4*n + n**3 - 8*n**3 wrt n? -24*n Let d(q) be the second derivative of q**6/3 + q**3/3 - 2*q. What is the second derivative of d(l) wrt l? 120*l**2 Let u be 20/8 - 2/(-4). Find the first derivative of 2*t + u*t - 1 - 2*t wrt t. 3 Suppose -3*i + 5*r - 4*r + 9 = 0, 3*i - 4*r - 18 = 0. Find the second derivative of 4*f**4 + i*f - f - f**4 wrt f. 36*f**2 Let j(w) be the first derivative of 14*w**3/3 - 17*w**2/2 - 14. What is the second derivative of j(f) wrt f? 28 Let x(c) = c**4 - c**3. Let p(r) = 8*r**4 - r**2 - 5*r**3 + 0 + 0 + r**3. Let q(b) = -p(b) + 4*x(b). Find the third derivative of q(m) wrt m. -96*m Let g(m) be the first derivative of 7*m - 2 + 4/5*m**5 + 0*m**4 + 0*m**3 + 0*m**2. Differentiate g(x) with respect to x. 16*x**3 Let s(b) be the second derivative of b**5/10 - 2*b**4/3 - 5*b. What is the third derivative of s(i) wrt i? 12 Let b = -2 - -6. Find the third derivative of x**b + 4*x**2 - 7*x**4 - 5*x**2 wrt x. -144*x Let m(u) be the first derivative of -u**7/70 - u**3/3 + u**2 + 3. Let g(y) be the second derivative of m(y). What is the first derivative of g(t) wrt t? -12*t**3 Suppose 4*p - 3 + 7 = 0. Let w(s) = 6*s**2 - s - 1. Let r be w(p). Find the third derivative of -l**2 - 2 - 2*l**r + 2 wrt l. -240*l**3 Differentiate -2*o**2 - 2*o**2 - o**2 - 6 - 4*o**2 wrt o. -18*o Let n = -6 + 9. Suppose -l + 3*v = 4*l - 17, 5*v + 25 = 5*l. Let s(k) = -k + 2. Let p(c) = -1. Let o(r) = l*s(r) + n*p(r). Differentiate o(x) wrt x. -1 Let z(r) = -7*r**2 + 6*r + 6. Let f(j) = -1. Let x(y) = 6*f(y) + z(y). Find the second derivative of x(h) wrt h. -14 Let m(h) = 5*h**4 - 3*h**3 + 4*h**2 - 37*h + 3. Let f(x) = -x**4 + x**3 + x**2 - 1. Let b(y) = 3*f(y) + m(y). Find the second derivative of b(c) wrt c. 24*c**2 + 14 What is the third derivative of -9*a**2 - 5*a**2 - 21*a**4 + 7*a**4 wrt a? -336*a Let z = 5/9 - 2/9. Let t(u) be the second derivative of 0*u**4 + 1/10*u**5 - u + 0 + 0*u**2 - z*u**3. Find the second derivative of t(p) wrt p. 12*p Let a = -3 + -3. Let p be a/21 - 23/(-7). Find the second derivative of -r + 2*r**5 - 3*r**5 + 0*r**5 - p*r**5 wrt r. -80*r**3 Let c(p) be the first derivative of 1/2*p**2 - 2 + 1/6*p**3 + 1/12*p**4 + 0*p. Let s(j) be the second derivative of c(j). What is the derivative of s(i) wrt i? 2 Suppose -4*o - b + 15 = -12, -2*o - 2*b = -12. Let v = -5 + o. What is the second derivative of 2*x**2 - 3*x**2 - v*x**2 - 2*x wrt x? -6 What is the second derivative of 0*r**4 + r**4 - 6*r**4 + 10*r + r**4 wrt r? -48*r**2 Let u(b) be the third derivative of 29*b**6/120 + b**4/3 + 32*b**2. Find the second derivative of u(c) wrt c. 174*c Find the third derivative of -2*p**2 - 10*p**4 - 5*p**5 + 10*p**4 wrt p. -300*p**2 Suppose -4*s + 15 = -6*i + 3*i, -8 = -s + 5*i. Find the second derivative of 37*j - 34*j - 3*j**3 + 4*j**s + 5*j**3 wrt j. 36*j Suppose 3*w + w + 4*i = 20, 11 = w + 4*i. Find the first derivative of w*h - h - 4 + 8 wrt h. 2 Let k(x) = -4*x**2 - 8*x - 6. Let u(q) = 0*q**2 + 15*q + 6 + 7*q**2 + 4 + 1. Let n(m) = 11*k(m) + 6*u(m). What is the second derivative of n(w) wrt w? -4 Suppose 4*d - 14 = -2. Let l(i) be the third derivative of -1/12*i**4 + 0*i + 0*i**d + i**2 + 0 + 1/60*i**5. What is the second derivative of l(j) wrt j? 2 Let y(s) = -13*s**4 + 7*s**3 - 7*s**2 - 4*s. Let j(u) = 7*u**4 - 3*u**3 + 3*u**2 + 2*u. Let h(z) = 7*j(z) + 3*y(z). Find the second derivative of h(o) wrt o. 120*o**2 Let g(w) = -2*w - 1. Let s(l) = 47*l**2 - 21*l - 3. Let z(j) = -2*g(j) + s(j). What is the second derivative of z(d) wrt d? 94 Suppose -2*h = 3*h + 10. Let z = h + 4. What is the third derivative of -1 + 1 - w**z + w**6 wrt w? 120*w**3 Let y be ((-2)/3)/((-2)/9). Suppose -n = y*m + 4*n + 4, 5*m + 3*n - 4 = 0. What is the third derivative of i**2 + 0*i**2 - 3*i**m + i**5 wrt i? 60*i**2 Let a(s) be the second derivative of -s**5/60 - s**4/12 + s**3/2 + 3*s. Let d(q) be the second derivative of a(q). Differentiate d(t) with respect to t. -2 Let z be 5/((-60)/32) + 3. Let x(s) be the first derivative of 0*s**2 + 1/4*s**4 + 0*s - z*s**3 + 2. What is the third derivative of x(o) wrt o? 6 Suppose -16 = -3*m + 2*a, m - 5*a + 3*a = 8. Find the third derivative of -3*f**4 + 4*f**2 + 4*f**2 - m*f**2 wrt f. -72*f Find the second derivative of 7*y + 2*y - 17*y**3 - 21*y**3 + 20*y wrt y. -228*y Let m(s) be the third derivative of 17*s**7/105 + s**4/2 + 14*s**2. What is the second derivative of m(p) wrt p? 408*p**2 Let w(q) be the second derivative of -q**5 + 19*q**3/3 - 9*q. Find the second derivative of w(r) wrt r. -1
{ "pile_set_name": "DM Mathematics" }
o(-4)? 2, 3 Suppose 0*c = 4*b + 2*c - 16, -4*b + c + 10 = 0. Suppose -20 = -b*n - n. List the prime factors of n. 5 Suppose -v - 15 = 5*l, -15 = 6*l - l - 2*v. Let t = 1 + l. Let f(p) = -p**3 + p**2 + 3*p + 3. List the prime factors of f(t). 3 Let f be (-64)/10 + 4/10. What are the prime factors of (12/8)/(f/(-8))? 2 Suppose -18 = -3*v - 5*g + 191, 4*g + 268 = 4*v. What are the prime factors of v/5 - 2/(-5)? 2, 7 Let s(k) = 3*k**2 + 2*k. Let r be s(-2). Let i = -5 + r. Suppose -q = i*q - 36. List the prime factors of q. 3 Suppose 0 = -4*t - 5*f - 29, -2*t - f = -t + 7. Let r(l) = 6*l + 8. Let a be r(t). What are the prime factors of (a/6)/(8/(-12))? 7 Suppose -2*s - 9 - 5 = 0. Let c = 4 - s. List the prime factors of c. 11 Suppose -k + 5*k + 32 = 2*q, 0 = q + 5*k - 37. What are the prime factors of q? 2, 11 Suppose -g + 414 = 2*z, 0 = 5*z - 0*g - 5*g - 1020. List the prime factors of z. 2, 103 Let h(y) = 0*y**2 + y**2 - 3 + 2 - 4. List the prime factors of h(-6). 31 Let s be 12/30 + (-4)/10. Suppose s*m + 10 = -5*m. List the prime factors of 2 - (m - -2 - 4). 2, 3 Let c = 9 - -94. List the prime factors of c. 103 Let p(c) = -10*c - 7. What are the prime factors of p(-2)? 13 Suppose 0 = -q - 11 + 13. Suppose -5*b + q = -m - 2, 3*m - 43 = 4*b. List the prime factors of m. 3, 7 List the prime factors of 4*(-2*(-1)/4 - -93). 2, 11, 17 What are the prime factors of 16/32*(1 + 129)? 5, 13 Let c(p) = -2*p + 1. Let x be c(-5). Suppose -1 = 5*v - x. Suppose v*q = 3*q + 4, b = 2*q + 11. What are the prime factors of b? 3 Suppose -3 = 5*y - 2*y. Let z(i) = i - 4. Let n be z(6). What are the prime factors of 4/(0 + n) - y? 3 Let y be 3*((-6)/9 + 0). What are the prime factors of 2/(y - (-8)/3)? 3 Let l = 3 - 0. Suppose 0 = -k - 4*x + 17, l*x = x. What are the prime factors of k? 17 Suppose -5*z + 33 = -2*c, 5*z + c = -c + 17. Suppose -z*u + 25 = 5. What are the prime factors of u? 2 Let d = -5 + 7. Suppose d*b - 66 + 2 = 0. Suppose -p = p - b. What are the prime factors of p? 2 Let v(u) = 17*u + 40. What are the prime factors of v(12)? 2, 61 Let b = -3 + 6. Suppose b*t = -t + 8. Suppose 23 = 3*h + t*h + 3*d, -2*h = -d - 7. List the prime factors of h. 2 Let x(s) = -s**2 + 6*s + 9. Let c be x(7). Suppose 0 = 2*q + 4*y + 24, -y - 5 - c = q. What are the prime factors of q/(7/(-5) + 1)? 5 Suppose 5*w - 11 = 39. List the prime factors of w. 2, 5 Let l(i) = i + 1. Let w be l(6). Let z = w - 1. List the prime factors of z. 2, 3 Let k = -9 + 5. Let t = 7 + k. What are the prime factors of t? 3 Let a = -11 + 19. Let v(x) = -x**3 - 5 - 2*x + 2*x + 9*x**2 - 7*x. List the prime factors of v(a). 3 Let n(z) = -z**2 - 14*z + 7. What are the prime factors of n(-11)? 2, 5 Suppose 2*x = -0*x. Let o = 9 + -5. Let h = x + o. List the prime factors of h. 2 Suppose -2*s + 4*l = -106, -3*s = -5*l - 141 - 13. What are the prime factors of s? 43 Let m be (0 - -3)/((-4)/(-24)). Let c be 50/18 - (-4)/m. Let y = c - -7. What are the prime factors of y? 2, 5 What are the prime factors of 6*(34/7)/((-3)/(-7))? 2, 17 Let x = -2 + 72. What are the prime factors of x? 2, 5, 7 Let r(v) = -v**3 + 14*v**2 - 8. What are the prime factors of r(13)? 7, 23 Suppose -5*c - 2*r - 5 = -2, 5*c = 3*r + 17. Let u(h) be the first derivative of 5*h**4/2 - 2*h**3/3 + h - 4. List the prime factors of u(c). 3 Let d(i) be the first derivative of i**4/12 - 2*i**3/3 - 3*i - 2. Let r(p) be the first derivative of d(p). List the prime factors of r(5). 5 Let c(b) = -b**2 - 8*b - 3. List the prime factors of c(-6). 3 Let l = -1 + 5. Let c(v) = v**3 - 4*v**2 - 2*v + 2. Let z be c(l). Let j = z + 18. List the prime factors of j. 2, 3 Let i(f) = 3*f**2 + 5*f + 78. List the prime factors of i(-7). 2, 5, 19 Suppose 106 = -7*a + 9*a. List the prime factors of a. 53 Let a be 1 - (-2 + (-1 - 17)). Suppose i - 5 - a = 0. Let z = i - 8. What are the prime factors of z? 2, 3 Suppose 3*c - 114 = 2*c + s, -2*c - 4*s = -240. What are the prime factors of c? 2, 29 List the prime factors of (-8)/(-20) + 26/10. 3 List the prime factors of -3 - (5 + (-264)/2). 2, 31 Let w(p) = -109*p**3 - 2*p**2 - 2*p - 1. Let x be w(-1). Suppose x = 4*n - 0*n. List the prime factors of n. 3 Suppose -2*t = -2*b + 136, -4*b + 0*t + 2*t + 272 = 0. List the prime factors of b. 2, 17 Let g = -108 - -270. List the prime factors of g. 2, 3 Suppose 4*p = 5*a - 2*a + 73, -2*p + 3*a = -35. What are the prime factors of p? 19 Let t be 0/2 - (-2 - -24). Let l = t + -9. Let u = l - -43. What are the prime factors of u? 2, 3 Let w = 119 + 15. What are the prime factors of w? 2, 67 Suppose 0 = 6*v - 2*v - b - 12, 0 = 5*v - 5*b. Suppose -g + v*g + 11 = -4*l, -4*l - 8 = 4*g. List the prime factors of g. 3 Suppose 3*r + 12 + 6 = 0. Let y(d) = -3*d**2 + 3*d + 4. Let g(m) = -4*m**2 + 2*m + 3. Let f(v) = -4*g(v) + 5*y(v). List the prime factors of f(r). 2 Let a(h) = h**2 - 17*h - 16. What are the prime factors of a(22)? 2, 47 Suppose -4*u = -562 - 286. List the prime factors of u. 2, 53 Let p be 2*((-14)/(-4) - 2). Suppose -p*w = i + 2*i - 33, w = 0. Suppose b - i - 4 = 0. List the prime factors of b. 3, 5 Let b(s) = -7*s**2 - 6*s + 9. Let j(y) = -6*y**2 - 6*y + 8. Let n = 16 + -11. Let c(t) = n*b(t) - 6*j(t). What are the prime factors of c(-7)? 2 List the prime factors of (4 + -6)*-18 + -1. 5, 7 Let i(c) be the second derivative of c**4/12 + c**3/3 - 5*c**2 + c. What are the prime factors of i(-7)? 5 Let t = 33 + -2. List the prime factors of t. 31 Let r(p) = p**3 - 3*p**2 + p + 2. Let z be r(2). Let i be 2 - z/2 - -67. Let x = i - 46. What are the prime factors of x? 23 Let f = 62 - -56. What are the prime factors of f? 2, 59 Suppose 5*y = 4*o + 10 - 5, o = 2*y - 2. Suppose -3 = 2*v - y. Let d = v + 5. What are the prime factors of d? 2 Let a(c) = 3*c + 2. Let x(f) = -6 + 0 - 15*f + 5*f. Let j(w) = 7*a(w) + 2*x(w). What are the prime factors of j(2)? 2 Suppose 0 = -3*w + f - 108 + 10, w - 2*f + 31 = 0. Let b = -23 - w. List the prime factors of b. 2, 5 Let t be 0/(4/(-6)*3). Suppose -2*s - 2*s + 28 = t. List the prime factors of s. 7 Suppose -2*f - 26 = s - 7*f, 0 = 2*s + f + 8. Let o(p) = -2*p - 2. List the prime factors of o(s). 2, 5 Let p be (2/5)/((-1)/(-70)). Suppose p = 4*x - 0*x. What are the prime factors of x? 7 Let r(v) = -6*v**2 + 2*v**2 + v**2 + 2*v**2 - v**3 + 39 + v. List the prime factors of r(0). 3, 13 Suppose -2*c - a - 3 = 0, 3*a - 12 = -2*c - a. Let z(o) = o**3 + 6*o**2 + 7*o + 1. Let x be z(-5). Let h = c - x. What are the prime factors of h? 5 Let v = -3 + -2. What are the prime factors of 0 - v - 4/(-4)? 2, 3 Let y = 4 - 5. Let t be -21 + (0 + y)*2. Let h = -10 - t. What are the prime factors of h? 13 Let a(o) = -o**2 - 10*o - 5. Suppose 0 = -2*q - 2*k - 4, 6*q = 2*q - k + 4. Let g be (-12)/q + -4 + 2. List the prime factors of a(g). 11 Suppose -6*g + 4*g + 14 = 0. What are the prime factors of g? 7 Suppose 0 = -4*y - 5*i + 59, y - 8 = -3*i + 5. List the prime factors of y. 2 Suppose 3*k = -3, 5*g - 4*k - 363 = 101. What are the prime factors of g? 2, 23 Let k(l) = -2*l - 1. Let d be (-84)/15 + 2/(-5). Let i be (4/(-2))/(-2)*d. List the prime factors of k(i). 11 Let u = 4 + 11. What are the prime factors of (-144)/(-10) - 6/u? 2, 7 Suppose 0 = -j - 4*j + 20. List the prime factors of j/(-10) + (-194)/(-10). 19 Let v be -3*(-1)/(-2)*-2. Suppose -v*j + 53 = 2. List the prime factors of j. 17 Suppose u + 3*u - 72 = 0. List the prime factors of u. 2, 3 Let j = 4 - 1. Let t(g) = g**3 - j*g**2 - 5*g + 7 - 2*g**2 + g**2. What are the prime factors of t(5)? 7 Suppose -104 = -5*w + 11. Let b = w + -19. What are the prime factors of b? 2 Let b be (10/(-6))/(3/(-45)). Let a = 23 + -40. Let v = b + a. What are the prime factors of v? 2 Let w(y) = -1 - 3*y - y - 2*y + 0*y. List the prime factors of w(-1). 5 Let x(j) = j**2 + 17*j + 17. What are the prime factors of x(-17)? 17 Let i be 3/9 - (-58)/6. Let n = 5 + i. List the prime factors of n. 3, 5 Let s(d) = -d**3 + 9*d**2 - 8*d - 6. Let g be s(8). Let n = g + 8. Suppose t + 1 = -2*y - 0*y, 4*y = n*t - 22. List the prime factors of t. 5 Let v(t) = -t + 41. What are the prime factors of v(0)? 41 Let n(y) = 7*y - 8. Let u be n(-9). Let j = -45 - u. List the prime factors of j. 2, 13 Let j = -16 - -24
{ "pile_set_name": "DM Mathematics" }
.486 kilograms to micrograms. 9799486000000 How many months are there in 85.96319 decades? 10315.5828 What is 1/4 of a hour in seconds? 900 How many millilitres are there in 5/8 of a litre? 625 How many seconds are there in 3/50 of a day? 5184 How many minutes are there in 10/21 of a week? 4800 Convert 82143.45ml to litres. 82.14345 How many nanograms are there in 15/4 of a microgram? 3750 What is 49/4 of a litre in millilitres? 12250 What is 41/6 of a minute in seconds? 410 What is 150.2781 decades in months? 18033.372 How many millilitres are there in 50062.27 litres? 50062270 What is seven quarters of a millennium in decades? 175 How many litres are there in 4.756638 millilitres? 0.004756638 Convert 873.2637 centuries to decades. 8732.637 Convert 43.6105g to tonnes. 0.0000436105 How many milligrams are there in 27/4 of a gram? 6750 Convert 3676419.9s to hours. 1021.22775 How many months are there in thirty-four fifths of a decade? 816 What is twenty-seven fifths of a millisecond in microseconds? 5400 What is 14.249313 months in millennia? 0.00118744275 How many millilitres are there in 1/10 of a litre? 100 How many nanometers are there in 0.0437699 millimeters? 43769.9 What is 5/4 of a millisecond in microseconds? 1250 What is 0.6322157ug in nanograms? 632.2157 How many litres are there in 95.35069ml? 0.09535069 How many months are there in 1/4 of a millennium? 3000 How many millimeters are there in 5/8 of a meter? 625 How many micrograms are there in 6/25 of a milligram? 240 What is one fifth of a century in months? 240 How many days are there in twelve sevenths of a week? 12 How many seconds are there in 3/10 of a day? 25920 What is 844.9941km in meters? 844994.1 How many nanograms are there in 753.703 micrograms? 753703 What is four fifteenths of a minute in seconds? 16 How many milligrams are there in 32/5 of a gram? 6400 What is three eighths of a decade in months? 45 How many meters are there in 53/5 of a kilometer? 10600 How many milliseconds are there in 0.5379853 weeks? 325373509.44 What is 78995.52 litres in millilitres? 78995520 How many centuries are there in seventy-seven fifths of a millennium? 154 What is 948292.2ml in litres? 948.2922 What is 2167.485 seconds in nanoseconds? 2167485000000 How many litres are there in 43165.27ml? 43.16527 What is 29608.272 months in millennia? 2.467356 What is 12/25 of a litre in millilitres? 480 How many grams are there in 76/5 of a kilogram? 15200 How many litres are there in 518202.1ml? 518.2021 How many months are there in 489930.1 millennia? 5879161200 How many meters are there in 85/4 of a kilometer? 21250 How many days are there in 9795.844 weeks? 68570.908 How many meters are there in 77.39293 kilometers? 77392.93 What is 0.5353945l in millilitres? 535.3945 How many nanoseconds are there in 3/32 of a millisecond? 93750 How many grams are there in 5.130086 kilograms? 5130.086 What is 8133.11 years in decades? 813.311 How many decades are there in 66.22853 millennia? 6622.853 What is 0.0591311 years in millennia? 0.0000591311 What is five quarters of a meter in centimeters? 125 What is 688933.44 seconds in hours? 191.3704 How many micrometers are there in 546434.6nm? 546.4346 How many milliseconds are there in 4/3 of a minute? 80000 What is 0.1645561ml in litres? 0.0001645561 How many nanometers are there in twenty-nine halves of a micrometer? 14500 How many micrometers are there in fifty-two fifths of a millimeter? 10400 What is 27/4 of a millimeter in micrometers? 6750 How many kilograms are there in eighteen fifths of a tonne? 3600 How many seconds are there in 8418.062ns? 0.000008418062 What is 11/2 of a litre in millilitres? 5500 What is eleven eighths of a second in milliseconds? 1375 Convert 18901.74t to micrograms. 18901740000000000 How many millennia are there in 54617.07 centuries? 5461.707 What is 257.0646ms in minutes? 0.00428441 How many millilitres are there in 27/5 of a litre? 5400 How many weeks are there in 946787.184 nanoseconds? 0.000000001565455 What is 1/6 of a millennium in months? 2000 How many litres are there in 8638.521ml? 8.638521 What is 6/25 of a meter in millimeters? 240 How many months are there in three tenths of a millennium? 3600 How many millilitres are there in 3053.712l? 3053712 How many kilometers are there in 4.971951um? 0.000000004971951 How many millilitres are there in 55/2 of a litre? 27500 What is thirty-three fifths of a decade in months? 792 How many months are there in 451.1363 decades? 54136.356 What is 11/2 of a centimeter in micrometers? 55000 Convert 47.9472 milligrams to tonnes. 0.0000000479472 How many millimeters are there in 11/10 of a centimeter? 11 What is 3/8 of a microgram in nanograms? 375 What is 19.65662 nanograms in micrograms? 0.01965662 What is 3/8 of a week in hours? 63 What is 622.5662 hours in minutes? 37353.972 How many millilitres are there in seventy-seven halves of a litre? 38500 How many millilitres are there in seventy-four fifths of a litre? 14800 How many centimeters are there in 19/4 of a meter? 475 How many months are there in twenty-five quarters of a millennium? 75000 What is eight thirds of a millennium in months? 32000 How many centimeters are there in 6/25 of a kilometer? 24000 What is 25/4 of a kilometer in meters? 6250 What is 7/3 of a year in months? 28 What is one tenth of a gram in micrograms? 100000 How many days are there in 456.01245us? 0.000000005277921875 How many litres are there in 4.303645 millilitres? 0.004303645 How many litres are there in 4504.294ml? 4.504294 How many seconds are there in 54/5 of a hour? 38880 What is fifteen quarters of a microgram in nanograms? 3750 What is 0.7015841 nanometers in meters? 0.0000000007015841 How many nanograms are there in fifty-one halves of a microgram? 25500 What is 11.61991 meters in nanometers? 11619910000 What is 84660.33 millilitres in litres? 84.66033 What is 453990.7 weeks in nanoseconds? 274573575360000000000 How many micrometers are there in 976475.5nm? 976.4755 What is 21/4 of a microgram in nanograms? 5250 How many millilitres are there in 3/40 of a litre? 75 How many days are there in 741.60711 minutes? 0.5150049375 What is 59.91712 micrograms in kilograms? 0.00000005991712 What is 31/2 of a gram in milligrams? 15500 How many months are there in 10/3 of a millennium? 40000 Convert 961687.1mm to micrometers. 961687100 How many centuries are there in 23722.404 months? 19.76867 Convert 6939.084 hours to microseconds. 24980702400000 What is 11426.994 months in decades? 95.22495 Convert 943.0535 decades to years. 9430.535 How many meters are there in eleven tenths of a kilometer? 1100 Convert 778.2315 kilometers to nanometers. 778231500000000 How many nanoseconds are there in 15/4 of a microsecond? 3750 How many centuries are there in 839.5676 years? 8.395676 What is 215930.6 years in centuries? 2159.306 Convert 757500.3 millennia to years. 757500300 What is 7/6 of a minute in milliseconds? 70000 What is 26/5 of a litre in millilitres? 5200 How many hours are there in 1.1152836us? 0.000000000309801 What is thirteen fifths of a century in decades? 26 What is seven eighths of a milligram in micrograms? 875 What is eleven eighths of a milligram in micrograms? 1375 What is eleven halves of a milligram in micrograms? 5500 How many years are there in 9/10 of a century? 90 What is 0.5236049ml in litres? 0.0005236049 What is 7.319715l in millilitres? 7319.715 How many millilitres are there in 0.7230928 litres? 723.0928 How many months are there in 7/4 of a millennium? 21000 How many millimeters are there in eleven quarters of a meter? 2750 What is 1/4 of a decade in months? 30 How many litres are there in 59478.2ml? 59.4782 How many days are there in 2261966.58ms? 0.02618016875 Convert 0.4054828ug to grams. 0.0000004054828 What is eleven quarters of a microgram in nanograms? 2750 How many months are there in twenty-three thirds of a century? 9200 Convert 0.4264779 meters to nanometers. 426477900 Convert 6.267539 centuries to millennia. 0.6267539 How many milligrams are there in 27/5 of a gram? 5400 What is 26/5 of a litre in millilitres? 5200 Convert 7867.631mg to grams. 7.867631 How many nanometers are there in 17/2 of a micrometer? 8500 How many
{ "pile_set_name": "DM Mathematics" }
a(t) = -45*g(t) - 2*x(t). Let c be a(-2). Let i = 74 - c. What is the tens digit of i? 3 Let g = -170 - -172. Suppose -g*c + 1488 = a, -4*a + 5*a = -3*c + 2232. What is the tens digit of c? 4 Suppose -42*x = -32*x + 430. Let s = x - -124. What is the tens digit of s? 8 Let i(y) = 283*y**3 + y**2 + 8*y + 4. What is the thousands digit of i(3)? 7 Let i be ((-1)/1)/(2/60*-3). What is the hundreds digit of ((-25)/i + -5)*(-364)/6? 4 Let z(v) = -v**3 - 31*v**2 + 29*v + 28. Let r = 36 + -68. What is the tens digit of z(r)? 2 Let t(i) = i**2 - 3. Let n be t(0). Let j be (-30)/(-6) - (-7 - n). Suppose 0 = -j*u + 13*u - 328. What is the units digit of u? 2 Let j = 82384 - 46452. What is the ten thousands digit of j? 3 Let d(l) = 3*l - 37. Let v be d(13). Suppose -v*s + 136 = 6*s. Suppose s*g - 1259 = -103. What is the units digit of g? 8 Let j = 15769 + 12571. What is the ten thousands digit of j? 2 Let y(o) = -2*o**2 + 20*o - 14. Let l be y(10). What is the hundreds digit of (-20)/(-7)*(-222)/24*l? 3 Suppose -11*p - 17252 = -15*p - 3*k, -17224 = -4*p + 4*k. What is the tens digit of p? 1 Let x = 33697 - -20530. What is the ten thousands digit of x? 5 Suppose 55*q = -117*q + 1247650 + 1593274. What is the units digit of q? 7 Suppose 73004 = 3*u + 4*q, -40*q + 72992 = 3*u - 42*q. What is the ten thousands digit of u? 2 Suppose -87*u + 1101431 = 235*u - 2531373. What is the units digit of u? 2 Let f = 2292 - -3448. What is the thousands digit of f? 5 Let r be 3778 - (-7 - 72/(-8)). Suppose r = 27*g - 2839. What is the units digit of g? 5 Let l(b) = 3*b**3 - 12*b**2 - 10*b - 9. Let o(z) = z**3 - z**2 - z - 2. Let g(f) = -l(f) + 2*o(f). What is the tens digit of g(10)? 8 Let q(h) = -h**2 - 13*h + 79. Let u be q(-16). Suppose -u*i + 3672 = -22*i. What is the tens digit of i? 0 Let q = 5272 + -2933. Suppose 1697 = -5*d - 4*a + 5566, -3*d + q = -2*a. What is the hundreds digit of d? 7 Let t(j) = -2196*j - 754. What is the thousands digit of t(-3)? 5 Let w be 69/(-23) + (607 - 1). Let y = w + -274. What is the tens digit of y? 2 Suppose 796*r - 788*r = 50680. What is the tens digit of r? 3 Let r = 49 + 58. Let f = r - -142. What is the tens digit of f? 4 Let z = 42997 + -28041. What is the units digit of z? 6 Let h(w) be the third derivative of -w**5/60 + 5*w**4/3 + 13*w**3/2 - 51*w**2. What is the hundreds digit of h(19)? 4 Suppose -5*i + 14382 = 4*w, -3*w = -7*i - 4982 - 5783. What is the hundreds digit of w? 5 Suppose 45872 + 86092 = 28*j. Suppose 5*u + 951 = c, 5*c - j = -3*u - 42. What is the hundreds digit of c? 9 What is the hundreds digit of 8/624*1890474 - (-6)/39? 2 Let v be -3*(-1 - 4) - (-3 + 1). Suppose 3*z - v = 1. Suppose -z*d + 551 = 35. What is the units digit of d? 6 Let y(p) = 45*p - 76. Let f be y(20). Suppose 290 + 112 = x - 4*z, -4*z - f = -2*x. What is the hundreds digit of x? 4 Let x(g) = 49*g**2 - g - 4. Let r be x(-2). Let m = 512 - r. What is the units digit of m? 8 Suppose -2*h - 6 = -2, -2*k - 2*h = -7440. Suppose 3*i - k = 4*z, z + 3*z = 5*i - 6190. What is the hundreds digit of i? 2 Suppose 0 = -18*v + 17*v - 376. Let r = -529 - v. Let j = -9 - r. What is the tens digit of j? 4 Suppose -2*s - 3*u = 0, -4*s - 1 + 11 = u. Let h = s - 6. What is the tens digit of (-117)/(-3)*h/(-9)? 1 Let u = -12843 - -21783. What is the tens digit of u? 4 Let z(f) = -17*f**2 - 75*f - 86. Let a(j) = 4*j**2 + j - 1. Let m(r) = 4*a(r) + z(r). What is the thousands digit of m(-42)? 1 Suppose -14310 = -2*r - 2*l, 4 = l + 3*l. What is the hundreds digit of r? 1 Let o be (-4 - 54/(-15))*75. Let a = o - -138. Let u = a - 42. What is the tens digit of u? 6 Let k = -18878 - -29059. What is the ten thousands digit of k? 1 What is the hundreds digit of 11015 - ((-8)/(-64))/(2/48)? 0 Let u = 226 + -221. Suppose -10 = -u*p, 750 + 526 = 2*j + 2*p. What is the units digit of j? 6 Suppose 52*a + 8220 = -41804. Let b = a - -2345. What is the units digit of b? 3 Let q = -326 + 862. Let c = q - 275. What is the hundreds digit of c? 2 Let a(b) = 6*b**3 - 12*b**2 + 22*b - 8. Let j be a(7). Let l(x) = x + 4. Let w be l(11). Suppose -z + j = w*z. What is the hundreds digit of z? 1 Suppose 0 = -2*k, -2*s + 4*s - 38144 = -34*k + 32*k. What is the tens digit of s? 7 Suppose 22898*f - 22890*f - 9240 = 0. What is the hundreds digit of f? 1 Let k be (23/1)/(0 + 1). Suppose -4*w - 6*p + 8 = 0, 72*p + 5 = 5*w + 77*p. Let z = w + k. What is the units digit of z? 2 What is the hundreds digit of (-5225059)/(-258) + 7/(-6)? 2 Let g(n) = n**3 + 10*n**2 - 9*n + 25. Let h be g(-11). Suppose 4*m = -4, 4*q - h*m - 3193 = -q. What is the hundreds digit of q? 6 Let g(f) be the third derivative of -5*f**4/24 + 251*f**3/6 + 32*f**2. What is the tens digit of g(26)? 2 Suppose -284*a + 101192 = -137*a - 133*a. What is the thousands digit of a? 7 Let s = -3494 - -4463. What is the tens digit of s? 6 Suppose 4*i - 8*i = -5*i + 12257. What is the ten thousands digit of i? 1 Let w = -13 - -4. Let z(s) = -5*s**2 - 3*s + 2. Let o(b) = -6*b**2 - 2*b + 1. Let f(n) = 3*o(n) - 4*z(n). What is the tens digit of f(w)? 0 What is the thousands digit of 4970/(-4)*(-65)/(2600/80)? 2 Suppose -2*f = 3*l - 8*l - 5100, -2*l = -2*f + 5112. Suppose -2*u = -8, 5*n - 4*u + 671 - f = 0. What is the hundreds digit of n? 3 Suppose -4*a + 145374 = -2*k, -5*a - 33*k + 181734 = -30*k. What is the thousands digit of a? 6 Let d(s) = s**2 - 6*s - 190. Let z be d(17). What is the tens digit of 27/(-18)*802/z? 0 Let q = -3224 + 8471. What is the thousands digit of q? 5 Let p(n) = n**3 + 3*n**2 - n + 11. Let x be p(-4). What is the units digit of (3573/(4 + x))/3? 7 Let x be -1 + 1 - (45/3)/3. Let a(f) = -5*f - 13 - 8*f - 7 + 2*f. What is the units digit of a(x)? 5 Let b = -29817 + 51046. What is the units digit of b? 9 Let f(k) be the third derivative of k**5/30 - 3*k**4/8 - 2*k**3/3 - 3*k**2. Let r be f(5). What is the tens digit of ((42 - 2) + 0)*(1 + r)? 8 Let h = -334 - -558. Let a = h - 77. What is the units digit of a? 7 What is the hundreds digit of 7154 - 3/(370/50 - 8)? 1 Let m(d) = -d**3 - 84*d**2 - 189*d - 113. What is the units digit of m(-82)? 7 Let k(j) = j**3 + 5*j**2 + 2*j - 4. Let z be k(-3). Let u = z - 4. What is the hundreds digit of (-3 - (-430)/u) + 15/10? 1 Let c(j) = j**2 + 2*j - 1. Let t be c(-3). Suppose y = i - 58, 3*i - t*y = -6*y + 188. What is the units digit of i? 0 Let v be (-6 + 3)*64 + (-4)/(-1). Let x = -327 - v. Let n = x - -247. What is the hundreds digit of n? 1 Suppose 65 = -3*y + 8*y. What is the units digit of -4 + -6 + y - 21/(-1)? 4 Let t be (60/(-45))/((-8)/18). Suppose -2*y - 2*y + 1584 = -4*d, 5*y - t*d = 1978. What is the tens digit of y? 9 Suppose 5*t - 1723 = -1738, t + 43810 = w. What is the hundreds digit of w? 8 Suppose 5*w + 5*k = 45, 5*w = -k - 3 + 48. Suppose w*j - 4*j + 455 = 0. Let l = j - -194. What is the tens digit of l? 0 Let r(z) = -575*z**3 - 7*z**2 - 63*z - 213. What is the units digit of r(-4)? 7 Let f = 75 + 38. Let j = f + -78. Suppose -6*t + t = -j. What is the units digit of t? 7 Suppose -134*h = 3*i - 137*h - 107655, -i - 5*h + 35837 = 0. What is the units digit of i? 7 Suppose -7*n - 210 = -22*n. What is the tens digit of n/(-1)*(-8)/((-16)/(-13))? 9 Suppose -15*s + 2*a + 70018 = -7*s, 5*a + 8757 = s. What is the tens digit of s? 5 Let r = 1317 - 125. Let q = -799 + r. What is the tens digit of q? 9 Let j = 13 - -13. Let i(d) = 24*d - 150. What is the units digit of i(j)? 4 Let v = 83648 - 55235. What is the thousands digit of v? 8 Suppose -3*r + 2*d - 1733 = 3*d, -d - 1154 = 2*r. Let p = -12 - r. What is the tens digit of p? 6 Let r be (-710)/(-7) - 24/(-42). Let q = r + 264. What is the tens digit of q? 6 Let q be -3*1/((-18)/12) + 77. Suppose 3*m = 5*p + 496, 0 = 2*m + 3*p + q - 397. What is the tens digit of m? 6 What is the ten thousands digit of (-1168111)/(-105) + (-40)/(-300)? 1 Suppose 0 = 24*u - 28*u - 928. What is the tens digit of (-7)/4*(-4 + (u - 0))? 1 Suppose -4*m + 96896 = -3*w, -8*m - 72672 = -11*m - 5*w. What is the hundreds digit of m? 2 Let d = -10449 + 13945. What is the thousands digit of d? 3 Let a be -1 - 1 - (-16 - 10). Suppose 8*u = 12*u + a. What is the units digit of (-2 - 12)*(u - -4)? 8 Suppose -289 = 8*l - 1953. Suppose -l
{ "pile_set_name": "DM Mathematics" }
term of -3089380, -3089388, -3089396, -3089404, -3089412, -3089420? -8*x - 3089372 What is the s'th term of -515, -1755, -3471, -5417, -7347, -9015, -10175, -10581? 41*s**3 - 484*s**2 - 75*s + 3 What is the o'th term of -30813, -64290, -97767? -33477*o + 2664 What is the w'th term of -123584052, -247168105, -370752156, -494336205, -617920252, -741504297? w**2 - 123584056*w + 3 What is the b'th term of 1985, 17354, 59065, 140288, 274193? 2195*b**3 + b**2 + b - 212 What is the t'th term of -247370, -247619, -247868, -248117, -248366? -249*t - 247121 What is the g'th term of 27528, 27311, 26732, 25611, 23768? -30*g**3 - g**2 - 4*g + 27563 What is the m'th term of -257, -1013, -2277, -4055, -6353? -m**3 - 248*m**2 - 5*m - 3 What is the m'th term of -1450551, -2901129, -4351733, -5802363, -7253019? -13*m**2 - 1450539*m + 1 What is the h'th term of 6525, 13024, 19493, 25932, 32341, 38720? -15*h**2 + 6544*h - 4 What is the d'th term of -126316, -126627, -126938, -127249? -311*d - 126005 What is the x'th term of 87969, 703732, 2375089, 5629836, 10995769? 87966*x**3 + x**2 - 2*x + 4 What is the t'th term of 380978, 762213, 1143452, 1524695, 1905942, 2287193? 2*t**2 + 381229*t - 253 What is the x'th term of -49846, -99603, -149360, -199117, -248874, -298631? -49757*x - 89 What is the b'th term of 150, 1067, 2776, 5277, 8570, 12655? 396*b**2 - 271*b + 25 What is the g'th term of -12477, -50828, -115055, -205158, -321137, -462992? -12938*g**2 + 463*g - 2 What is the v'th term of -26321, -105194, -236619, -420596, -657125, -946206? -26276*v**2 - 45*v What is the n'th term of 30823901, 61647796, 92471691, 123295586? 30823895*n + 6 What is the q'th term of -8068962, -16137933, -24206914, -32275911, -40344930? -q**3 + q**2 - 8068967*q + 5 What is the s'th term of 50, 3078, 8100, 15110, 24102, 35070? -s**3 + 1003*s**2 + 26*s - 978 What is the j'th term of -2087926, -4175736, -6263532, -8351308, -10439058? j**3 + j**2 - 2087820*j - 108 What is the r'th term of -16628, -33931, -51234, -68537, -85840? -17303*r + 675 What is the m'th term of 13180, 17685, 22190, 26695, 31200? 4505*m + 8675 What is the w'th term of -250830, -250681, -250520, -250341, -250138, -249905? w**3 + 142*w - 250973 What is the x'th term of 22969946, 45939890, 68909836, 91879784, 114849734? x**2 + 22969941*x + 4 What is the x'th term of -4089, -8595, -13941, -20547, -28833, -39219? -70*x**3 - 4016*x - 3 What is the u'th term of -1053, -2037, -2999, -3927, -4809, -5633, -6387? 2*u**3 - u**2 - 995*u - 59 What is the g'th term of -933, 619, 2171, 3723, 5275, 6827? 1552*g - 2485 What is the b'th term of 5649, 11451, 17267, 23097? 7*b**2 + 5781*b - 139 What is the p'th term of 3705730, 3705674, 3705580, 3705448, 3705278, 3705070, 3704824? -19*p**2 + p + 3705748 What is the i'th term of -265200, -530424, -795642, -1060854? 3*i**2 - 265233*i + 30 What is the k'th term of -12081654, -12081656, -12081658, -12081660? -2*k - 12081652 What is the d'th term of 1286, 1288, 1254, 1184, 1078, 936? -18*d**2 + 56*d + 1248 What is the l'th term of -49088, -98286, -147488, -196694, -245904? -2*l**2 - 49192*l + 106 What is the r'th term of 950, 9204, 17458, 25712? 8254*r - 7304 What is the c'th term of -49573, -49414, -48993, -48178, -46837, -44838? 22*c**3 - c**2 + 8*c - 49602 What is the d'th term of -214, -1392, -4598, -10846, -21150, -36524? -169*d**3 + 5*d - 50 What is the r'th term of 41501, 41518, 41557, 41630, 41749, 41926? 2*r**3 - r**2 + 6*r + 41494 What is the m'th term of -262960363, -262960361, -262960359, -262960357, -262960355? 2*m - 262960365 What is the v'th term of 7811439, 7811441, 7811443? 2*v + 7811437 What is the m'th term of 378285, 756577, 1134871, 1513167, 1891465, 2269765, 2648067? m**2 + 378289*m - 5 What is the o'th term of -18005, -72218, -162571, -289064? -18070*o**2 - 3*o + 68 What is the w'th term of -460, 270, 2274, 6188, 12648, 22290, 35750, 53664? 106*w**3 + w**2 - 15*w - 552 What is the g'th term of 1489, 2663, 3557, 4171? -140*g**2 + 1594*g + 35 What is the c'th term of -19878, -79241, -178092, -316431, -494258, -711573, -968376? -19744*c**2 - 131*c - 3 What is the j'th term of -3246, -3168, -3092, -3018, -2946, -2876? -j**2 + 81*j - 3326 What is the r'th term of 3366024, 6732047, 10098070? 3366023*r + 1 What is the y'th term of -291744119, -583488240, -875232361, -1166976482? -291744121*y + 2 What is the f'th term of 639, 1296, 1967, 2652? 7*f**2 + 636*f - 4 What is the u'th term of -439736, -879436, -1319134, -1758830? u**2 - 439703*u - 34 What is the d'th term of -7253, -28870, -64853, -115202, -179917, -258998? -7183*d**2 - 68*d - 2 What is the w'th term of -49, 205, 1479, 4493, 9967? 120*w**3 - 210*w**2 + 44*w - 3 What is the h'th term of 4294282, 4294291, 4294300, 4294309? 9*h + 4294273 What is the t'th term of 710205, 1420234, 2130263? 710029*t + 176 What is the p'th term of 471, -3923, -11245, -21495, -34673, -50779, -69813? -1464*p**2 - 2*p + 1937 What is the r'th term of -3133390145, -3133390144, -3133390143, -3133390142, -3133390141? r - 3133390146 What is the y'th term of 46254, 47696, 49138, 50580, 52022, 53464? 1442*y + 44812 What is the u'th term of 326966, 326933, 326900, 326867, 326834, 326801? -33*u + 326999 What is the b'th term of -340, -1347, -4060, -9325, -17988, -30895, -48892? -141*b**3 - 7*b**2 + b - 193 What is the y'th term of 265969403, 265969402, 265969401, 265969400? -y + 265969404 What is the t'th term of 3727, 18251, 57665, 134413, 260939, 449687? 2074*t**3 + t**2 + 3*t + 1649 What is the y'th term of -1067417, -1067442, -1067467? -25*y - 1067392 What is the x'th term of -2400, -8659, -14918? -6259*x + 3859 What is the q'th term of -1028, -1969, -2906, -3833, -4744, -5633, -6494, -7321? q**3 - 4*q**2 - 936*q - 89 What is the r'th term of -5966046, -11932087, -17898126, -23864163, -29830198, -35796231? r**2 - 5966044*r - 3 What is the p'th term of 37925, 151408, 340539, 605312, 945721, 1361760, 1853423? -p**3 + 37830*p**2 + 96 What is the l'th term of -2108734, -4217387, -6326040, -8434693? -2108653*l - 81 What is the r'th term of -852, -3005, -6556, -11499, -17828, -25537? r**3 - 705*r**2 - 45*r - 103 What is the u'th term of -605010, -605053, -605096, -605139? -43*u - 604967 What is the d'th term of -3032308, -3032299, -3032290, -3032281, -3032272, -3032263? 9*d - 3032317 What is the w'th term of -291170, -582207, -872970, -1163321, -1453122, -1742235? 23*w**3 - w**2 - 291195*w + 3 What is the z'th term of -531308, -1061406, -1591504, -2121602, -2651700, -3181798? -530098*z - 1210 What is the q'th term of -21127481, -42254961, -63382441, -84509921? -21127480*q - 1 What is the o'th term of -1468075, -2936178, -4404281, -5872384, -7340487? -1468103*o + 28 What is the x'th term of -7944, -7177, -6552, -6141, -6016, -6249, -6912, -8077? -12*x**3 + x**2 + 848*x - 8781 What is the t'th term of -1237, -1613, -2015, -2449, -2921, -3437? -t**3 - 7*t**2 - 348*t - 881 What is the z'th term of 4034339, 4034337, 4034327, 4034303, 4034259, 4034189, 4034087? -z**3 + 2*z**2 - z + 4034339 What is the v'th term of -153385, -153418, -153439, -153442, -153421, -153370, -153283? v**3 - 40*v - 153346 What is the v'th term of 6068, 24026, 53866, 95582, 149168, 214618, 291926, 381086? -v**3 + 5947*v**2 + 124*v - 2 What is the x'th term of -42047, -84292, -126535, -168776? x**2 - 42248*x + 200 What is the t'th term of 188, 534, 1168, 2102, 3348, 4918, 6824? 2*t**3 + 132*t**2 - 64*t + 118 What is the v'th term of -10982, -46297, -105154, -187553, -293494? -11771*v**2 - 2*v + 791 What is the m'th term of 99501317, 199002634, 298503951, 398005268? 99501317*m What is the q'th term of -1220172, -2440386, -3660600? -1220214*q + 42 What is the a'th term of -92744891, -92744889, -92744887, -92744885? 2*a - 92744893 What is the s'th term of 642369, 1284755, 1927141, 2569527, 3211913, 3854299? 642386*s - 17 What is the v'th term of -3698, -4020, -4346, -4676? -2*v**2 - 316*v - 3380 What is the a'th term of 5870, 6102, 6392, 6740? 29*a**2 + 145*a + 5696 What is the i'th term of -426, -669, 134, 2505, 6966? 87*i**3 + i**2 - 855*i + 341 What is the s'th term of -54869, -88887, -122905? -34018*s - 20851 What is the q'th term of 12011, 11982, 11925, 11834, 11703, 11526, 11297?
{ "pile_set_name": "DM Mathematics" }
uppose 94*g = 96*g. Suppose g*j = -2*j. Solve -q*p - 2 + 8 = j for p. 3 Let v = 1 + 1. Let l be (48/9)/(116/87). Solve -2*m = -l*m + v for m. 1 Let n(h) = 822*h + 24. Let j be n(0). Solve 12*y + j = -24 for y. -4 Let q(d) = -145*d + 2465. Let h be q(17). Solve h = -13*z + 506 - 415 for z. 7 Let y(i) = i**3 - 10*i**2 + 9*i + 22. Let d be y(10). Suppose d = 25*k - 38. Solve 7*a = 9*a - k for a. 3 Let p(d) = d**2 + 8*d + 11. Let n be p(-3). Let w be 5*((-96)/(-20) + n). Solve -w*j + 7 + 5 = 0 for j. 3 Suppose -9*z = -51 + 15. Suppose 0 = z*o - 7*o + 45. Let a be 3 + (0/(-2))/(o + -13). Solve -a*t - 2*t - 15 = 0 for t. -3 Let h(j) = j**2 - 36*j + 44. Let s be h(35). Suppose s*z + 26 - 89 = 0. Solve -z*i = -10 - 11 for i. 3 Let s be (126/10)/((-2)/4*(-12)/30). Solve 17*x + 5 + s = 0 for x. -4 Let t be 5 + (-2)/(8/20). Suppose 4*q = -2*l - 3 + 15, t = 4*l + 5*q - 27. Solve 6*u + l = 4*u for u. -4 Let p be ((-2)/3)/(20/(-120)) + 72. Let m = p + -67. Suppose -3*z + 5*r - 16 = 0, -5*z + 4*r = m*r - 40. Solve -v - 1 = -z for v. 2 Suppose -13*b - 24 + 76 = 0. Suppose -o - 3*f - 13 + b = 0, -3*f = 9. Solve o = -2*h - 4 - 2 for h. -3 Let g = 50 - 36. Suppose -3*f + g*k + 25 = 9*k, 4*f + 5*k + 25 = 0. Solve f*w + w = 5 for w. 5 Let z be ((-924)/10)/(-11*(-69)/(-2530)). Solve -z = 11*o - 297 for o. -1 Let h = 3007 + -2979. Solve -2*n + h = -9*n for n. -4 Let p = -907 + 978. Solve 2*s + p = 71 for s. 0 Suppose -4*k - 89*k = -2604. Solve -3501*g + k = -3497*g for g. 7 Suppose -9*p + 3*c - 9 = -11*p, 0 = 3*p + 4*c - 11. Let w be (15/6)/(p - (-41)/12). Solve 20 = -11*x + w*x for x. -4 Let q be 20/300*-3*-215. Solve -q = -31*v + 174 for v. 7 Suppose -20 = -n - n. Let b = -120 - -110. Let q(v) = -v**3 - 7*v**2 + 28*v - 15. Let h be q(b). Solve h*p = -0 + n for p. 2 Suppose 119*q - 811 - 13 = 9. Solve -q*p - 102 = -24*p for p. 6 Suppose 3*x + 5*f = 62, 4*x - 15 - 14 = f. Solve 35 = x*c - 28 for c. 7 Suppose -2*x = x - 132. Suppose 0*a + 196 = 5*w - 2*a, 5*w - 194 = 3*a. Suppose -2*i = -4*c + 2*i + w, -4*c + x = -5*i. Solve -2*s = -2 - c for s. 4 Suppose 0 = 53*d + 41*d. Solve -42*f + 61*f + 38 = d for f. -2 Let y be (-100)/5*((-25)/(-2))/5. Let u = y - 1. Let l = u - -61. Solve 6*v - v - l = 0 for v. 2 Let n be ((-2)/(-8))/(16/256). Suppose 7 = -3*c + n*h, 0 = 5*c + 4*h - 17 - 14. Solve -3 = c*b - 2*b for b. -3 Let c be (-37)/(-3) - (-10)/(-30). Solve 170*z = 173*z + c for z. -4 Let i be -10*350/(-200)*6/7. Solve 939*k - i = 936*k for k. 5 Suppose 4*u = 12, u + 0*u - 23 = -4*x. Suppose x*m - 38 - 47 = -c, -m + 5*c + 43 = 0. Suppose 2*t + d + d = m, 31 = 4*t + 3*d. Solve t*h + h + 5 = 0 for h. -1 Suppose -111 = -39*o - 33. Solve 5 + 7 = -o*v for v. -6 Let s = -635 + 631. Let p be 7 + (s - 0) - 1. Solve -v = -p*v for v. 0 Let z = -20091 - -20091. Solve z = 157*r - 146*r - 77 for r. 7 Suppose 0*b = 41*b - 54*b + 1573. Solve -8*i - 65 = -b for i. 7 Let w(u) = u**2 - 14*u - 105. Let p be w(-6). Solve -15*n - p = 60 for n. -5 Let m = 8745 + -8430. Solve 312*l - m*l - 9 = 0 for l. -3 Let w be 160 + 2 + 1 + -2. Let k = w + -142. Solve -6 = -5*c + k for c. 5 Let q(z) = 9*z + 3. Let t be q(2). Suppose -535 = -t*f + 305. Solve -f*l = -38*l - 2 for l. 1 Suppose 3*f - 2*u - 390 = 0, 5*f - 6*u = 96 + 546. Solve -468 = -56*i - f for i. 6 Suppose -14*l = -5*l - 90. Let c(q) = -q**2 + 15*q + 2. Let m be c(l). Let d = -49 + m. Solve -u - d*u = 4 for u. -1 Let r be (3 - 6)*(1 + -2). Suppose 5 - 8 = r*x, 5*x + 1 = -4*w. Suppose 5*g - 3*t = w + 51, -4*t = 5*g - 24. Solve u + u = g for u. 4 Let v = -341 + 313. Let s be 1/(-7) + (-15)/v*4. Let z be 1/3 - (-4)/6. Solve -q = -s*q - z for q. -1 Let p(h) = -37*h - 10. Let j be p(1). Suppose -2*u + 5*o + 94 = 0, 5*u + 0*o - 235 = -3*o. Let f = j + u. Solve -w + f*w + 2 = 0 for w. 2 Let w be ((-1)/2)/(3/(-24)). Suppose 19*o + 78 = 135. Suppose o*k + j = 6, 2*j = -3*k + 11 - 2. Solve 0 = d + k - w for d. 3 Let j = -8 - -20. Let f be 1 + (-15)/j + (-191)/4. Let d = f - -48. Solve -4 = -v - d for v. 4 Let n be 1 + (-1)/2 - 1027/(-158). Suppose 21*j = n*j. Solve 4*w + j - 4 = 0 for w. 1 Let w be 6/4*(-60)/9. Let a = 20 + w. Let n be 9/((-63)/14) - (3 - 10). Solve -n*h - 5 = a for h. -3 Let d be (-6)/4 + 4 + (-86)/(-4). Suppose 3*a - 2*i = 36, 0 = -2*a + 2*i + 3*i + d. Solve -a*s = -14*s + 8 for s. 4 Suppose 4*i = 355*q - 353*q + 312, -5*q = -i + 87. Solve 46*z - i*z = 0 for z. 0 Suppose -3*o = 5*a + 87, 0 = -7*o + 3*o - a - 133. Let z = 47 + o. Suppose -10*j + z*j - 12 = 0. Solve -2*b - 2*b = -j for b. 1 Let t(h) = h - 1. Let g be t(1). Let r(p) = -25*p - 69. Suppose -9*y + 4*y + j - 14 = 0, 7 = -4*y + 5*j. Let f be r(y). Solve g*d = -3*d - f for d. -2 Let d = 2328 + -2200. Solve -51*s + d = -35*s for s. 8 Suppose 0 = -5*o + 22 - 47. Let q be (-6)/o + 52/65. Solve 0*p + q = -2*p for p. -1 Let r(z) = 2*z - 12. Let v be r(6). Let h be 3/3 - (-435)/5. Let b be 2/(-5) + h/20. Solve b*c - 4 + v = 0 for c. 1 Suppose 0 = -3*h - 23 - 1. Let f be (-2)/(-8) + (-126)/h. Let n = -33761 + 33770. Solve -5*d + f = -n for d. 5 Suppose -130 = -9*m - 4. Let w be 13/(((-13)/(-26))/(-2 + 1)). Let p = w + 31. Solve -3*r - m = -p for r. -3 Suppose -37 = -5*y - 12. Let k(m) = m**3 - 10*m**2 + 3*m - 8. Let f be k(9). Let c = -62 - f. Solve c*b - y = -b for b. 5 Let z(t) = -8*t**3 - 17*t**2 + 46*t - 24. Let b be z(-7). Solve -1564*y + b*y + 6 = 0 for y. -6 Let p(i) = -5*i + 5. Let y be (1 - 0)*(4 - 5). Let a(b) = b + 1. Let k(j) = y*p(j) - 4*a(j). Let u be k(10). Solve -2*r = -7 + u for r. 3 Let y be (-5)/((36/(-8))/9). Suppose 164 = -y*p + 14*p. Suppose 2*h = p - 37. Solve 2 = -a - h for a. -4 Suppose -a + 5*d = 0, 22 = -5*a + 5*d + 2. Let m = -750 - -759. Let g be (6/a)/(m/(-150)). Solve -o + 5*o = g for o. 5 Let v be ((-71)/((-11715)/(-18084)))/(2/(-5)). Solve 280 = 6*z + v for z. 1 Let c be ((-10114)/390)/(7/(-105)). Solve -c = 3*f - 398 for f. 3 Let p(l) = 7*l**3 - l + 9*l**3 + 6*l**3 - 12*l**2 + 8*l**3 - 4 - 31*l**3. Let h be p(-12). Solve -s = -h + 7 for s. 1 Let f be (36/7)/(11/154). Let i = f - 108. Let a be (-9)/i - 11/(-4). Solve 2*y + a*y - 20 = 0 for y. 4 Let n = -6626 + 6635. Solve -n*j = j - j for j. 0 Let d = -2141 + 2152. Solve d*v = v - 30 for v. -3 Let t(q) = -12*q**3 - 10*q**2 - 6*q - 5. Let y be t(-3). Suppose 243*o = y*o - 8. Solve -f - 4 = -o*f for f. 4 Let u(z) = -758*z - 7578. Let l be u(-10). Let m = 8 - 2. Solve -l*n - m = 2 for n. -4 Suppose -3*r - 5*a = -90, 98 = 4*r + 5*a - 17. Suppose 20*i = r*i - 60. Let p be 48/i - (-5 + 0). Solve w - p = -4 for w. 5 Suppose -3*u + 12 = -0*u. Let x(m) = -m**3 - 10*m**2 - 45*m - 40. Let p be x(-2). Solve -2*z - u*z - p = 0 for z. -3 Suppose 17*k + 105*k = 25620. Solve 0 = 10*l - k + 280 for l. -7 Suppose -8*t - 67 + 99 = 0. Let b be -2 + 6/3 + t. Solve -14*q = -b*q for q. 0 Let j = -1430 + 1508. Let z(y) = -14*y - 5. Let v be z(-6). Let n = v - j. Solve r = -4 - n for r. -5 Suppose -13 = -5*a + 7. Let o(n) = -641*n - 1282. Let c be o(-2). Suppose 2*f - 14 + 6 = 0. Solve a*h = -c*h - f for h. -1 Suppose 7*t = -8 + 722. Solve 7*z + 10*z - t = 0 for z. 6 Let u be (552/9)/(10/21) - (-16)/80. Solve -121 = 8*r - u for r. 1 Let j be 6*(-1)/18 - (-3)/9. Solve j = 4*x - 44 + 48 for x. -1 Let y = -45 - -50. Let f = -4 + y. Solve o = -0 - f for o. -1 Let w(b) = 3*b + 52. Let a be w(-18). Let n be (a + 7)*((-3)/5 - -3). Solve 3 = -n*f + 9*f for f. -1 Suppose -4*q + 619*c + 92 = 623*c, 4*q - c = 132. Solve -q*w + 20*w - 22 = 0 for w. -2 Let f(p) = 3*p**3 + 13*p**2 + 13*p + 5. Let z(g) = 5*g**3 + 20*g**2 + 20*g + 7. Let x(v) = 8*f(v) - 5*z(v). Let r be x(5). Solve 6*k - 5 - 1 = r for k. 1 Let x be ((-3)/(-9) - 1)*(25 - 10). Let p be 2/3*(-15)/x*1. Let w be 0*7/14*(p + -2). Solve w = -6*s + 2*s for s. 0 Suppose 1145 - 533 = 17*f. Solve 0 = -2*u + f - 28 for u. 4 Suppose -3*m - 3*h = -36, 5*h - 4 = -2*m + 20. Suppose 4*i + 4*q - 124 - 16 = 0, -m = -3*q. Solve 27*d - 8 = i*d for d. -2 Suppose 0 = 2*v - h + 1, -5*v = 2*h + 10 + 6. Suppose 36 = -5*r - 34. Let u = v - r. Solve -4*a = -a + u for a. -4 Let v = 123 - 115. Let k be v + (-4)/(4/3). Let m be (-9)/(k + -23) - 14/(-4). Solve -m*s - 6 = -2*s for s. -3 Let l = -28833 + 29976. Solve -8*m + 1175 = l for m. 4 Let z(n) = -n**2 + 8*n - 8. Let d be (-2)/(-8)*2*1*10. Let
{ "pile_set_name": "DM Mathematics" }
3 (b) -3 (c) -0.296 c What is the nearest to 260 in -3, 1, 0.5, 31? 31 Which is the closest to 0.2? (a) 1/89 (b) -4 (c) 0.01 (d) 4 (e) -2/11 a What is the nearest to 1 in -0.6, -26, 4? -0.6 Which is the nearest to -100/7? (a) 2 (b) -4 (c) -0.3 (d) 3 b Which is the nearest to 0? (a) -2 (b) 9 (c) -3 (d) 4.4 (e) 5 a Which is the closest to 1? (a) -1 (b) -587 (c) 4 (d) -3 (e) -4 a What is the closest to 1664 in -2/9, -0.7, 0.2? 0.2 Which is the closest to -1? (a) -4/7 (b) 1.9 (c) -1/128 a Which is the closest to -0.06? (a) -26 (b) -1/2 (c) 4 (d) -0.17 d What is the nearest to -35 in -19/7, -7, -2? -7 What is the closest to -1265/4 in -6, 1, 4? -6 Which is the nearest to 0.0373? (a) 5 (b) -0.2 (c) 2.2 b Which is the nearest to 35? (a) 0.3 (b) -0.0645 (c) -1 a What is the closest to -1 in 0.04, 0.3, -5, -6? 0.04 What is the closest to -1/412 in -0.5, 2/7, 0.053? 0.053 What is the closest to 1 in 12/5, 0.3, 12, -0.5? 0.3 What is the nearest to 1 in -2/5, 3/4, -5, -1/8, -46? 3/4 Which is the closest to 4.081? (a) -15 (b) 3 (c) -0.4 b Which is the nearest to -5.797? (a) 0.4 (b) 1 (c) 39 a What is the nearest to -25.4 in 9, 4/9, 0.4? 0.4 Which is the closest to 3? (a) 0.049 (b) -2/11 (c) -1/2 (d) 1.2 (e) -6 d Which is the closest to 8437? (a) 0 (b) 3 (c) 4 c What is the closest to 72 in -1/7, 2/3, 3, -8? 3 What is the closest to -1/3 in -0.4, -3, -39/7, 0? -0.4 What is the nearest to -16/17 in 0.48, -2/5, -0.399? -2/5 What is the closest to -1/2 in 9, 5, 2/5, 87? 2/5 Which is the nearest to 1? (a) -0.55 (b) 3 (c) 2/3 (d) 2/13 (e) -7 c Which is the closest to -5? (a) 0.2 (b) 5 (c) 1/2 (d) 28/17 a What is the nearest to 8070 in 0.42, 0.1, -4/9, 2/13? 0.42 Which is the nearest to -8? (a) 3 (b) 0 (c) 4 (d) 51 b What is the nearest to -69/2 in 35, 2/15, 3/7, 2/5, 5? 2/15 Which is the closest to -6? (a) -3 (b) -2 (c) 1 (d) -25 a Which is the nearest to -2? (a) 2 (b) 3/2 (c) 7/45 (d) -0.5 d Which is the nearest to -1? (a) -2 (b) 4/5 (c) 13/16 (d) 2/7 a What is the closest to 0.025 in -5.7, -0.2, 3/5, -0.3, -4? -0.2 Which is the nearest to 0? (a) -32 (b) 3 (c) 109 b What is the closest to -72 in 0.4, -2, -5, 18, 2/7? -5 Which is the nearest to 3/4? (a) 3603 (b) 2/7 (c) 0.1 b Which is the closest to 4? (a) -4/3 (b) 3 (c) -12 (d) 1/13 (e) 0 b Which is the nearest to -1? (a) 5/2 (b) -1/23 (c) -6 (d) -1/3 (e) 0.4 d What is the closest to -2/17 in -1/2, -73/3, 0.07? 0.07 Which is the nearest to -8? (a) -0.319 (b) -590 (c) 5 (d) -0.3 (e) 4 a What is the closest to 2 in 0.3, 268, 1/3, 2/83? 1/3 What is the nearest to 2 in -5, 0, 0.3, 37? 0.3 What is the nearest to 0.06 in 2/15, 0.03, 0.049? 0.049 What is the nearest to 64 in 3, -2/735, 0.5, -3/7? 3 Which is the closest to -2/7? (a) -2 (b) 1.4 (c) 46 b What is the nearest to 1/2 in -618, -3, -5/6, -0.5? -0.5 Which is the closest to 0.1? (a) -2/97 (b) 5 (c) -1348/7 a What is the nearest to 0.018 in 1, -50, 2, 0.1? 0.1 What is the closest to 3 in 36, 0.3, -0.3, -3, -3/5? 0.3 Which is the closest to 0.2? (a) 2/5 (b) 802.7 (c) -2/47 a Which is the closest to 7703? (a) 0.03 (b) -0.1 (c) -7 (d) -6/7 a What is the closest to -3 in 0.3, -0.04, -3, -10/11? -3 What is the nearest to 4/21 in 15/11, 4, 5, 0, -1? 0 What is the closest to -1/4 in 0.3, 1/58, 0.4? 1/58 Which is the nearest to -2/3? (a) 0.5 (b) -5 (c) 0.03 (d) -102/13 (e) -4 c Which is the closest to 0.4? (a) 6 (b) -6.39 (c) 1 c Which is the closest to 1/2? (a) -1/5 (b) -69 (c) 0.2162 c Which is the closest to -1/2? (a) -4 (b) 14 (c) 4.93 a What is the nearest to -72 in -5/8, 8, 5, 3, 0.5? -5/8 Which is the closest to 1? (a) 0 (b) 181 (c) 2/7 (d) -0.1 c What is the nearest to -13 in -0.03, 0.5, -1.4? -1.4 Which is the nearest to -14? (a) 3 (b) -2/3 (c) -14.1 (d) -4 (e) 4 c Which is the nearest to -3? (a) -14/11 (b) 0.1 (c) 2/3 a Which is the closest to 4/3? (a) 2 (b) 7/6 (c) 0.2 (d) -1/25 (e) -2/13 b What is the nearest to 0.1 in -13, -2, -23, 6, -14? -2 What is the nearest to -66 in 2, 0.05, -2, -0.7? -2 Which is the closest to 1? (a) 4/3 (b) -9 (c) 16 (d) 2/21 a Which is the nearest to 2/15? (a) 2 (b) -0.2 (c) 48.5 b Which is the closest to -1/33? (a) 0.2 (b) -97 (c) 2/9 a Which is the closest to -1? (a) -226/5 (b) 5 (c) 8 (d) -8 b What is the nearest to 0.3 in 0.4, 4/5, -0.007, 3, -0.018? 0.4 What is the nearest to 1/2 in -7.6505, -2/7, -0.1, -4? -0.1 What is the closest to -0.1 in -3, 1/4, 2/2717, 3/8? 2/2717 What is the closest to -4 in 2, -1/77, -2? -2 Which is the closest to 58? (a) -1 (b) -5 (c) -11 (d) 25 (e) 0.3 d Which is the closest to 2/5? (a) -1/2 (b) 0 (c) -346 b Which is the closest to -1? (a) 1/5 (b) -1 (c) 11 (d) -22 b What is the nearest to 3 in -0.03, 3, 6, -42, 0.2? 3 Which is the nearest to -2/15? (a) 0.4 (b) -11919 (c) 4/7 (d) -4 a What is the closest to -0.02 in -4/9, 2/9, 68, -1/2, -0.1? -0.1 Which is the closest to -2/3? (a) 0.1 (b) -0.2 (c) -66237 (d) 2 b What is the nearest to -1/4 in 1/4, 0.5, 62, -37, 8? 1/4 Which is the nearest to -0.5? (a) 4 (b) -6 (c) -0.4 (d) -0.2 c What is the nearest to -0.2 in 0.4, 20, 4, -32? 0.4 Which is the nearest to 44? (a) 1 (b) 4/5 (c) 874 a What is the closest to 1 in 1, 0, 19? 1 Which is the closest to -1/2? (a) -0.3 (b) -1 (c) -1/245 (d) -1/3 (e) -0.1 d Which is the closest to -1? (a) -25/4172 (b) -2/13 (c) -2 b Which is the nearest to 1? (a) -0.3 (b) 2/3 (c) -431 (d) 1 d Which is the nearest to -9/7? (a) -3 (b) 0.07 (c) 1/5 (d) 2 b What is the closest to 3 in -4, 2.19, 1, -8, 3? 3 Which is the nearest to -70? (a) -0.01 (b) 1/6 (c) 2 (d) -0.2 (e) -13 e Which is the closest to 0.4? (a) 0.11 (b) -1 (c) 3/8 (d) 3/7 c Which is the nearest to -0.24? (a) 22 (b) 0.2 (c) -0.2 c Which is the nearest to -1/4? (a) 5 (b) -3/44 (c) -2/21 (d) 137 (e) 0.1 c Which is the closest to 13? (a) -14 (b) 61 (c) 2/9 c What is the closest to 2/17 in -3567, -4, 3/2? 3/2 Which is the nearest to -7/11? (a) -1/23 (b) 3 (c) 0 (d) -0.4 d What is the closest to -1/6 in -6, -1/132, 5, 4/3, 10? -1/132 What is the nearest to 0.1 in -1, 415, 22.2? -1 Which is the nearest to 2/17? (a) -0.4 (b) 153 (c) -1.1 (d) -1 (e) -4 a Which is the closest to -1? (a) 2 (b) 0.15 (c) 35 (d) -1/2 d What is the closest to -1 in 0, -1/5, 41, 778, 0.5? -1/5 What is the closest to 0 in 3/4, 62/3, -2, 0.3? 0.3 Which is the closest to -1/2? (a) 0.4 (b) -12.399 (c) -11 a Which is the closest to -5? (a) 2 (b) -1/9 (c) 1/462 (d) -5/3 d Which is the nearest to -6? (a) -2 (b) 6 (c) -1/15 (d) 2/7 (e) 3/2 a What is the nearest to -1 in 5, 3/4, 0.175, 0, -1/5? -1/5 Which is the closest to -0.07? (a) 2/3 (b) -3/7 (c) -149 (d) -0.4 (e) 3 d What is the nearest to -0.68 in -1/5, -12, -0.4, -3, 2? -0.4 What is the closest to 13 in -1/2, -0.2, -4/7, 15, -0.6? 15 Which is the nearest to -2? (a) -0.23 (b) -2 (c) 1766 b What is the closest to -9/2 in -0.5, 0.1, -0.627? -0.627 Which is the closest to 2/7? (a) -3 (b) -3/4 (c) 898 b What is the closest to -1 in 4, 0, 126, 0.06? 0 Which is the nearest to 1? (a) -2 (b) 81 (c) -0.3 (d) -1463 c Which is the closest to 1? (a) -0.5 (b) 0.03 (c) -4347 (d) 4 b Which is the closest to 0.2? (a) 29 (b) -6 (c) 2/11 (d) 0 c What is the nearest to 2 in -2/15, -0.2, 3, -89? 3 What is the closest to 0 in -15, 1, 0.9? 0.9 What is the closest to 2 in -1/2, 31, -0.4, 1/8? 1/8 Which is the nearest to 2.5? (a) -5 (b) -1 (c) -3/7 (d) 504 c What is the nearest to -3/124 in 3, -0.23, 5, 1? -0.23 What is the nearest to 4 in 2/3, 93, 0.3? 2/3 Which is the closest to 20? (a) -9 (b) -14 (c) -3 c What is the closest to 2/11 in 109.7, 0.02, -4? 0.02 Which is the closest to -3/17? (a) -2/157 (b) -5 (c) -25 a Which is the nearest to 0? (a) 13 (b) -0.3 (c) -7/6 (d) 0.2 d What is the closest to 0.68 in -0.2, 2/15, 0? 2/15 Which is the closest to 1? (a) 97471 (b) 0.2 (c) -4 (d) -3 (e) -5 b What is the closest to 2/3 in 4, 0.645, -3/4, -3? 0.645 Which is the nearest to 0? (a) 0 (b) -132 (c) 661/2 (d) 1/8 a What is the closest to 1 in 6, 1/5, 0.1, -259? 1/5 Which is the nearest to -1?
{ "pile_set_name": "DM Mathematics" }
l Let a be (-2)/(-11) + 40/22. What is the second derivative of -j**a - 2*j - j - 2*j**2 + 2*j**2 wrt j? -2 Let m(p) be the third derivative of 0*p + 7*p**2 - 1/30*p**5 + 0*p**4 + 0*p**3 + 1/40*p**6 + 0. Find the third derivative of m(i) wrt i. 18 Suppose 3*s + 0*s - 15 = 0. Let i(p) be the first derivative of 3 + s - 3 + 4*p + 2*p**2 - 1. What is the first derivative of i(q) wrt q? 4 What is the derivative of 0 + 13*j - 13*j - 5*j**2 - 11 wrt j? -10*j Let c(q) be the second derivative of -q**5/30 - q**4/12 - q**2 + q. Let s(w) be the first derivative of c(w). Find the second derivative of s(o) wrt o. -4 Let d(m) be the first derivative of -3*m**6/2 - 7*m**3/3 + 2. What is the third derivative of d(l) wrt l? -540*l**2 Suppose 2*n = n. Let w = 0 + n. What is the third derivative of 0 - 2*y**2 + y**5 + w wrt y? 60*y**2 Find the third derivative of 12*o**6 + 103*o**5 - 103*o**5 - 17*o**2 wrt o. 1440*o**3 Suppose -w + 4*w - 9 = 0. Suppose w*x = -3*i + 18, 2*i + x + 6 - 17 = 0. What is the third derivative of 2*n**2 - i*n**2 + n**2 - 3*n**4 wrt n? -72*n Let h(j) be the first derivative of j**6/180 - j**4/24 - j**3 + 1. Let o(y) be the third derivative of h(y). Differentiate o(d) with respect to d. 4*d Let v(j) be the first derivative of j**4/24 + 2*j**3/3 + j**2 + 4. Let d(p) be the second derivative of v(p). Find the first derivative of d(g) wrt g. 1 Suppose -5*t + 12 = -2*t - j, -3*j = -3*t + 18. Let q = 5 - t. Differentiate -3 + 4*m - q*m - 2*m + 3*m with respect to m. 3 Suppose -r - 5 = -5*c, 26 = 2*r + 3*c - 16. What is the first derivative of 2 + r*n**3 + 0 - 13*n**3 wrt n? 6*n**2 Let s be (1/3)/((-2)/(-12)). What is the second derivative of 3 + b + 2*b**s - 3 wrt b? 4 Let d(b) = -3*b**2 - 4*b + 1. Let a(i) = 5*i - 3 + 0 + 2 - 1 + 3*i**2. Let p(h) = 4*a(h) + 5*d(h). Differentiate p(x) with respect to x. -6*x Differentiate 26*r**2 - 77*r + 157*r - 80*r + 14 with respect to r. 52*r Let m(b) = 7*b**2 + 4*b + 10. Let i(o) = o + 1. Let k(r) = -4*i(r) + m(r). Find the first derivative of k(j) wrt j. 14*j Differentiate -13 - 2*a**2 + 4 + 75*a - 86*a wrt a. -4*a - 11 What is the third derivative of 0*n**6 - 3*n**2 + 2*n**2 - n**6 - 3*n**6 wrt n? -480*n**3 Let r(d) be the second derivative of 3*d**5/5 - d**4/2 - 3*d. What is the third derivative of r(k) wrt k? 72 Let t(s) = -s**2 + s. Let a(r) = -r**3 + r**2 - r - 1. Let w(u) = a(u) + t(u). What is the derivative of w(y) wrt y? -3*y**2 Let y(u) be the second derivative of 2*u + u**2 + 0 + 0*u**3 + 1/3*u**4. What is the first derivative of y(s) wrt s? 8*s Find the second derivative of r + 2*r - 3*r - 2*r**4 - 2*r wrt r. -24*r**2 Let q = 4 - 3. Differentiate -f**3 + q + f**3 - f**3 wrt f. -3*f**2 Let m(j) be the third derivative of 1/12*j**5 + 0*j**4 + 0*j**6 + 0*j**3 + 1/42*j**7 + 2*j**2 + 0*j + 0. What is the third derivative of m(k) wrt k? 120*k Suppose v = -2*x + 10, -7 = -3*x + 2*x - v. Let b = -3 - -6. Find the third derivative of x + c**4 - c**2 - b wrt c. 24*c Suppose 4 = -u - 2*x, 2*x = 5*u - 2*u - 28. What is the third derivative of 2*p**5 + 0*p**5 + u*p**2 - 3*p**2 wrt p? 120*p**2 Let i(m) = -m + 13. Let f be i(10). Let a(q) be the second derivative of 1/3*q**f + 0 + 2*q + 1/2*q**2. Find the first derivative of a(k) wrt k. 2 Let f(c) be the third derivative of 5*c**9/252 + 11*c**5/60 - 6*c**2. Find the third derivative of f(b) wrt b. 1200*b**3 Let u be -1 + 1 + -3 + 4. Suppose -2*p = 2*f - 14, 15 = -2*p + 4*f - u. Differentiate 3 + 0 - p*l - 2 with respect to l. -2 Let x(m) be the third derivative of -m**7/21 - m**4/24 - 11*m**2. Find the second derivative of x(r) wrt r. -120*r**2 Let s(u) be the third derivative of u**6/120 - u**5/10 - 3*u**2. Find the third derivative of s(v) wrt v. 6 Let h(u) be the third derivative of 3*u**2 + 0*u**6 + 0*u**7 - 1/30*u**5 + 0*u + 0*u**3 - 1/336*u**8 + 0*u**4 + 0. Find the third derivative of h(a) wrt a. -60*a**2 Let t = -8 - -11. Find the second derivative of -t*c**3 + 6*c - c + 0*c - 4*c wrt c. -18*c Find the third derivative of 8*c**3 - 3*c**3 - 3*c**2 + 0*c**2 wrt c. 30 What is the second derivative of 3*u**5 + 35*u**3 - 8*u - 35*u**3 - 19*u**5 wrt u? -320*u**3 Let l = -4 - -7. Find the second derivative of 0*v**5 + v**5 + 5*v - v**l + v**3 wrt v. 20*v**3 Let q(h) = 3*h**2 - 3*h + 6. Suppose -4 = k - 2*k. Let d = 5 - k. Let m(y) = -1. Let c(j) = d*q(j) + 6*m(j). What is the second derivative of c(p) wrt p? 6 Find the third derivative of 3*s**3 + 69 + 5*s**5 - 16*s**2 + s**3 - 68 + 0*s**3 wrt s. 300*s**2 + 24 Let v = 4 - 1. Suppose -4*d - x = 2*x - 12, -v*d - x = -4. Find the second derivative of d*u**4 - 3*u - 2*u + 7*u - u**4 wrt u. -12*u**2 Let l(i) be the third derivative of -7*i**6/120 - 7*i**5/60 - 7*i**2. Find the third derivative of l(b) wrt b. -42 Let g(p) = 8*p**4 + 4*p**2 + 5*p. Let q(n) = -9*n**4 - 5*n**2 - 6*n. Let x(o) = 6*g(o) + 5*q(o). What is the third derivative of x(m) wrt m? 72*m Let k(n) = -n**5 + n**4 - n**3 + n + 1. Let m(c) = c**5 + 4*c**4 - 4*c**3 + 10*c + 4. Let g(t) = -4*k(t) + m(t). Find the second derivative of g(p) wrt p. 100*p**3 Let j(r) be the second derivative of r**6/24 + r**3/6 + 4*r**2 - 7*r. Let h(t) be the first derivative of j(t). Differentiate h(g) wrt g. 15*g**2 Let t = 1 + 1. Let v be 7/2 - 3/(-6). What is the third derivative of 0*j**v - t*j**4 - j**2 + 0*j**4 wrt j? -48*j Let h(k) be the third derivative of 16*k**7/105 + 23*k**3/3 - 18*k**2. What is the derivative of h(v) wrt v? 128*v**3 Let w(y) be the third derivative of -y**7/42 - 9*y**5/20 + 14*y**2. Find the third derivative of w(r) wrt r. -120*r Let c(w) be the third derivative of 0*w**7 + 0*w**4 + 6*w**2 + 5/336*w**8 + 0 + 0*w**3 + 1/20*w**5 + 0*w**6 + 0*w. What is the third derivative of c(z) wrt z? 300*z**2 What is the first derivative of 3*q**4 - 30*q**2 + 30*q**2 + 12 + 4 wrt q? 12*q**3 Let k(g) = -43*g**4 - 3*g**3 + 3*g**2 - 3*g + 44. Let o(w) = w**4 + w**3 - w**2 + w + 1. Let j(m) = k(m) + 3*o(m). What is the derivative of j(u) wrt u? -160*u**3 Let z(t) = -t**2 - 7*t + 4. Let s be z(-7). Suppose 0 = -s*x - 1 + 5. Differentiate x + 0 + j - 3 wrt j. 1 Suppose 12 = -f + 5*f. Differentiate 0*y**2 + f + 0 - y**2 + 6*y**2 with respect to y. 10*y Let j(i) = -3*i**5 + 7*i**4 - 7*i**2 + 7. Let g(u) = 2*u**5 - 6*u**4 + 6*u**2 - u - 6. Let q(x) = 7*g(x) + 6*j(x). What is the second derivative of q(y) wrt y? -80*y**3 Suppose -n - 5*o + 24 = -0*n, 4*o = 16. Differentiate n*h**3 + 1 - h**3 + 5 - 2 wrt h. 9*h**2 Let r(d) be the third derivative of -5*d**8/168 + d**5/6 + 7*d**2. What is the third derivative of r(p) wrt p? -600*p**2 Let a(m) = m**2 + 3*m + 3. Let b be a(-2). Let v = 2 + b. What is the second derivative of -n - 2*n**3 + 2*n**3 + v*n**4 wrt n? 36*n**2 Let h(d) be the second derivative of 2/3*d**4 + 0 - 1/7*d**7 - 10*d + 0*d**3 + 0*d**6 + 0*d**2 + 0*d**5. Find the third derivative of h(u) wrt u. -360*u**2 Let i(h) = 10*h**5 - 14*h**4 - 14*h**2 - 2*h + 14. Let l(o) = -o**5 + o**4 + o**2 - 1. Let n(m) = 6*i(m) + 84*l(m). Find the second derivative of n(g) wrt g. -480*g**3 Let u(z) = z**4 - 4*z**3 + 4*z**2 - 4*z - 18. Let q(a) = 5*a**3 - 5*a**2 + 5*a + 18. Let i(w) = 4*q(w) + 5*u(w). What is the derivative of i(t) wrt t? 20*t**3 Let j(x) = -x - 1 + 2 + 0*x. Let o be j(-3). Differentiate t**o + 3*t**4 - 2 - 2*t**4 wrt t. 8*t**3 Let d(o) be the second derivative of 5*o**3/6 - 3*o**2/2 + o. What is the first derivative of d(a) wrt a? 5 Let g = 15 - 13. What is the first derivative of i - g - i + 5*i**2 wrt i? 10*i Find the third derivative of 4*a**6 + 3*a**6 + 14*a**2 - 26*a**2 wrt a. 840*a**3 Let o(l) be the first derivative of 15*l**4/4 + 9*l**2 - 23. What is the second derivative of o(a) wrt a? 90*a Let r(o) be the third derivative of 7*o**6/30 - 19*o**4/24 - o**3/3 + 6*o**2 - 3*o. Find the second derivative of r(u) wrt u. 168*u Find the first derivative of b**4 + 5*b**4 + 16 - 25 - 26 wrt b. 24*b**3 Let b(k) = k - 1. Let a(d) = -d**2 - d + 4. Let j be a(0). Let r be b(j). Differentiate -c - 2 - 2 + r wrt c. -1 Differentiate -9 + 32 - 15 + 2*f with respect to f. 2 What is the third derivative of 27*j**2 + 10*j**3 + 9*j**3 - 54*j**2 wrt j? 114 Let h(i) be the third derivative of 7*i**6/120 + i**5/10 + 7*i**4/4 - 56*i**2. Find the second derivative o
{ "pile_set_name": "DM Mathematics" }
or o. 1 Let o(j) = j**3 - 8*j**2 + 18*j - 24. Let v be o(6). Solve 2*h - v = 3*u, 6*u - 8 = -2*h + 8*u for h. 0 Suppose -2*y + 2 = 2*r, -4*r - 11 = 3*y - 13. Solve -y*a + 2*q + 6 = 0, -3*q - 8 - 3 = -2*a for a. -2 Suppose 18*l - 72 = 6*l. Let r(t) = t - 2. Let c be r(0). Let k be 1*(c/l - (-4)/12). Solve k*f = -2*f - 3*p - 5, 0 = -3*f + 4*p + 35 for f. 5 Suppose 0 = -103*r + 106*r - 6. Suppose -4*k + 12 = -0*k. Solve 0 = -4*o - k*i - 17, r*o - 4*i + 14 = -0*o for o. -5 Suppose -2 = 3*w + 5*j, 5 = 5*w + 4*j + 17. Let h be w - (3 - (50 + 3 + -6)). Solve -g - 3 = 0, 5*a = -0*g + 5*g + h for a. 5 Let g(x) be the third derivative of x**5/60 - 13*x**4/6 + 28*x**3/3 - 40*x**2 - 4. Let p be g(51). Solve 27 = -p*q + 2, 37 = -4*k - 5*q for k. -3 Let q(x) = 2*x - 7. Let n be q(6). Let z be (-2)/(-13) + (-74)/(-26). Let m be 6 - (-3 + 1 - (-14 + 6 + 2)). Solve 0 + z = -3*a - 2*k, n*a + k = m for a. 1 Let o = -9 + 13. Suppose -o*u + 96 = 4*u. Suppose -u*g = g - 39. Solve -3*z = -4*v + 13, -g*v - z - z + 14 = 0 for v. 4 Suppose 5*d + 262 = 7. Let l = d + 55. Solve -5*h + 41 - 6 = -5*x, l*h = -3*x + 7 for h. 4 Let m be ((-20)/24 - 130/(-12)) + -7. Solve n - m*d = -13, 3*n - 5*d = -3*d - 11 for n. -1 Suppose -185 = -18*d - 23. Suppose -d = -8*t + 7. Solve -o = 4*z + 21, -t*z = -0*o - o + 3 for o. -5 Let b(o) = -o - 278. Let k be b(47). Let a = 327 + k. Solve -9*j + 4*n = -4*j, j = a*n for j. 0 Suppose -188*t + 116 + 106 = 34*t. Solve -4*p + 11 + t = -4*j, -3*j = 3*p + 15 for j. -4 Let d = -4 - -9. Suppose 2*g - 3*t = -6, d*g + 3*t + 4 - 31 = 0. Let y = 4 - -11. Solve 5*v - 2 - 6 = -4*w, -y = w - g*v for w. -3 Let f = -336 + 347. Suppose 133 = -f*a + 177. Solve -a*t = 4*z + 28, 2*z - 6 = -t - 17 for t. -3 Let m = -55 + 54. Let l be 40 + -4 - 2/m. Suppose 0 = l*d - 33*d - 10. Solve -5 = -b + d*n, 2*n + 6 = 4*b - 8 for b. 3 Let g = 8 - 4. Let t(q) = -11*q**3 + 6*q**2 + 18*q**3 - 6*q + 5 - 8*q**3. Let i be t(5). Solve i = -g*w - h + 4, -3*w + 3 = 9*h - 4*h for w. 1 Let s = 1858 - 1850. Solve 5*n = -t + 4*t - 23, -s = 4*t + 3*n for t. 1 Let b be (-7)/(-1) - (9 + -10). Let n = b + -3. Let m(t) = -t**2 + 12*t - 12. Let x be m(n). Solve 2*p = -2*k - p - x, 5*k - 5 = 5*p for k. -4 Let g be (-3 + 4)*12/3. Suppose 21*m = g*m + 476. Solve -5*n = -o + 29, -4*n - m = -0*n - 2*o for n. -5 Let y = 8 - -15. Let f(o) = o**3 + 20*o**2 - 21*o + 2. Suppose -3*g + 1914 - 1977 = 0. Let c be f(g). Solve -y = -5*l + t, -c*l - 4*t = -0*t + 4 for l. 4 Let c(z) = -2*z**2 + 194*z + 1241. Let w be c(-6). Solve 2*a - 10 = 2*s, -2*s + w*a = 10*a - 18 for s. -1 Let i = 1119 + -1120. Let b be (i - 7 - 1) + 9. Suppose 2*a - 10 = -2*u, a - 3 = -2*a. Solve b = -u*t, -d = 2*d + 3*t - 6 for d. 2 Let w be 2/6 + 1351/(-21). Let i = w - -92. Suppose i = 9*f - 2*f. Solve 4*u + 28 = -0*c + 4*c, 4*u = -f*c - 4 for u. -4 Let w = -739 + 743. Suppose -4*i + 2 = 2*k, -3*k + 2*i + w = -7. Solve -c - 12 = k*c - 2*m, 5*c = -3*m + 7 for c. -1 Let z be (-1)/4 - 18/(-8). Suppose -5*x + 292*i - 293*i + 8 = 0, -i = -x + 10. Solve 0 = -c - x*c + 4, 4*c = l + z for l. 2 Let k be ((-66)/8)/(-7*(-2)/(-56)). Let y(s) = -s**3 + 32*s**2 + 36*s - 96. Let h be y(k). Solve w + h*u + 1 = 0, 3*w + 8 = -2*u - 2 for w. -4 Let s be (22/(-7))/((-163)/1141). Solve -25 = -5*c, -20*o + s*o + 6 = 2*c for o. 2 Let g(z) = 9*z + 11. Let r(l) = -8*l - 9. Let n(m) = 5*g(m) + 6*r(m). Let f = -5 - -4. Let u be n(f). Solve 0 = c - 3*x + x - 4, -2*x = -5*c + u for c. 0 Suppose -52*g = -5286 + 3310. Solve t - 2 = -3*i, g*t + 5*i = 33*t - 10 for t. -4 Let t(f) = -176*f - 1403. Let z be t(-8). Solve 5*a + 25 = 0, z*i - 5*a - 51 = -31 for i. -1 Let d be ((-20)/(-50))/(3/30). Let u be (d/(-5))/((-36)/1530). Solve -c = 4*z + 12, -5*c + 5*z + u = -6 for c. 4 Let i = -178 - -182. Let q(o) = 25*o + 34 - 46*o - o**2 + 17*o. Let a be q(i). Solve 4*d + 2 - 13 = g, -18 = -a*d - 2*g for d. 4 Let b be (-2106)/(-45) - 1/(-5). Let d = 45 - b. Let a be 2 - (2 + d*3). Solve -y + 5*h + 1 = 23, -5*y - h - a = 0 for y. -2 Suppose -13*i - 15*i + 88 - 32 = 0. Solve -i*o = 5*t - 29, t = -o - 17 + 24 for t. 5 Let x(o) = o**2 - 11*o - 74. Let i be x(23). Suppose 6*v + i = 214. Solve -j - j - 4 = z, -2*z - 8 = -v*j for j. 0 Let d = 14 - 148. Let k = d + 139. Solve -2*v + 10 = -4*w, 2*v + k*w = -8 - 0 for v. 1 Let w be -14 + (-176)/(143/(-13)). Solve -h = -w*j - 3, -3*j - 8 + 2 = -h for h. -3 Let l(s) = -108*s + 1084. Let b be l(10). Solve 0 = b*r + 4*u - 36, 2*r + 20*u = 23*u - 7 for r. 4 Let n(f) = -12*f + 290. Let h be n(24). Suppose -26 - 10 = -12*c. Solve h*j + 2 = -4*s, -6 = -s + c*s + 2*j for s. 2 Let l be (-100)/(-28) - 10/(-7). Solve -2*h + 10 = 0, 5*h - 14 + 4 = -l*u for u. -3 Suppose -h = 7 - 5. Let t be 4 + (-2 + 0 - h). Let b be (20/(-16))/((-1)/t). Solve 0 = -3*x + 4*s - 8*s + 10, -3*x = b*s - 11 for x. 2 Let x = -19 + 29. Suppose -f - 2*r = 6, r + r - x = -5*f. Let i = -17184 - -17191. Solve f*a + i = 4*y - 1, -4*y = -4 for a. -1 Let a be (-22)/99 + -3 + (-209)/(-9). Let o(r) = 3*r**2 - r - 21. Let b be o(5). Suppose 9*d - b = -13. Solve 0 = f + 3*f - a, 30 = -2*y + d*f for y. -5 Suppose -24 = -x + 5*f, 4 = 3*x + 87*f - 85*f. Solve 4*s - 14 = g, -5*s + x*g - 29 = -6*s for s. 5 Let a(r) = -8*r + 255. Let h be a(31). Solve 3 = -3*o, -b - 3*o + 6 = h for b. 2 Let n = -189 + 170. Let s = 31 + n. Solve 4*f - s = 4*v, f = 4*v + 4*f - 9 for v. 0 Suppose 9*g - 2370 + 12 = 0. Let t = g - 260. Solve s = 4*r + 14 - 5, 5*r - t*s = -12 for r. -2 Let q = -68 + 77. Let o be (-13 + -2 + q)/((-4)/18). Let p = o - 22. Solve 2*g + 5 = p*h, -5*g = 3*h - g + 23 for h. -1 Let j(h) = -h**3 - 9*h**2 - h + 9. Let u be j(-9). Suppose -2 = 4*y - u. Solve -2*a + 4 = -y*t, 0 = 3*t - 1 + 4 for a. 0 Let z = -6552 - -6555. Solve -o + z*j = -2*j + 19, 4*j = -3*o for o. -4 Suppose 20*l - 57 = 5*l + 3*s, -5*s + 45 = 3*l. Solve -120 = 5*d + a - 144, 0 = -d - l*a for d. 5 Let p(a) = 13*a + 56. Let l be p(-3). Solve -f + l*g - 21*g - 4 = 0, 3*f - 5*g - 5 = 0 for f. 0 Suppose -42*w + 355 = 29*w. Solve -5*a = 25, -w*r + 0*a + 5*a = -20 for r. -1 Suppose 3*y + 27 = 57. Let b(j) = j**2 - 11*j + 35. Let a be b(y). Solve x - 5*m - a = 4*x, -3*x + 10 = -2*m for x. 0 Suppose 77*u + 4 = 156*u - 77*u. Solve -3*p + q = 0, -5 + 3 = 4*p - u*q for p. 1 Let q be (819/6)/13*(-2)/(-3). Let p be 0 + q + 3/((-9)/6). Solve 3*m - 5*s = -19, -2*s + s = -p for m. 2 Let x be 12/(-52)*(-130)/15. Solve 0 = 5*f - 2*i + 4*i, -f + x*i = 0 for f. 0 Suppose 38 = 60*m - 313 - 129. Solve 13*j = 2*f + m*j + 13, j - 9 = 2*f for f. -4 Suppose 6*y = y. Let l = -1072 - -1074. Suppose -l*p = -16 - y. Solve -5 = -z + 2*o + 1, 2*z + p = -o for z. -2 Let c be 4 - (4 + 1502)/6. Let h = 249 + c. Solve -2*s - 13 = 5*j + s, h*j - 4*s + 26 = 0 for j. -5 Let p = 4678 - 4653. Solve 0 = -5*l - p, 5*l + 15 = -5*k + l for k. 1 Let s be 2/((-13012)/(-2604) + -5) + -5. Let a = s - -675. Solve m + 5*q - a = 0, -10 - 4 = -2*m - 2*q for m. 4 Let v = -54 + 55. Let q be (-2 - -1)/(v - (-54)/(-51)). Suppose 3*c + 4*y = 31, c = -4*y + y + q. Solve -w + 0 = -2*k + c, w = 5*k - 20 for k. 5 Let c(u) = u**2 + 8*u - 29. Let m be c(-12). Suppose 0 = m*r - 23*r + 48. Suppose 37 = 5*q + r. Solve -25 = -4*o + 5*p, 0 = 4*o - o + q*p + 25 for o. 0 Let l = 897 + -358. Let v = 553 - l. Solve 2*i - v = -5*h, h + 2 = 2*h for i. 2 Let y = -62 + 0. Let a = y - -68. Suppose 0 = 4*n - n - a. Solve n*x - 2*t - 3*t = 1, 0 = 4*x + 4*t + 12 for x. -2 Let a = 0 + -7. Let d be 6/42 - 69/a. Suppose -26 = z - 29. Solve d = -4*t - z*f, t + 3*f + 0 = 2 for t. -4 Suppose 711 + 510 = 11*v. Let q = v - 103. Suppose 4*h + 15 = -h, 5*c + 4*h = 23. Solve c*x = 4*x - d + 1, 0 = x + 2*d + q for x. 2 Let w be ((-24)/(-14))/((-16)/(-56)). Suppose -3*o + w*o - 120 = -4*s, -4*s - o = -112. Solve 3*p - 8 - 13 = -2*l, -3*p = 4*l - s for l. 3 Let q(y) = 2*y**2 - 57*y + 2. Let s be q(0). Solve 16 = -2*p - 5*h, s*p - 4*h + 12 = -8*h for p. 2 Let a = -11 - 15. Let r be a/78 - 2/(-6). Suppose 2 + r = -q + 5*u, -3*q = -2*u - 7. Solve -4*v + l = -2, 2*l + q*l + 10 = 4*v for v. 0 Let v = 1934 - 1934. Let k(r) = -7*r**3 + 2*r**2 + 2*r + 1. Let q be k(-1). Solve o - 3 = v, -3*h + q*h + 5*o - 15 = 0 for h. 0 Suppose -18*g + 4 = -14*g. Let q be (-117)/78*(-3 + g). Solve -2 = -3*y + o + o, -q*y + 17 = o
{ "pile_set_name": "DM Mathematics" }
nd derivative of -110816*j**5 + 95*j - 510. -2216320*j**3 Find the third derivative of -2755971*i**3 + 14258*i**2 - i - 11. -16535826 What is the second derivative of -58358*k**5*x + 3*k**3*x**2 + 6*k*x**2 + 10506*k*x wrt k? -1167160*k**3*x + 18*k*x**2 Find the second derivative of 58*w**3 + 220*w**2 - 58227*w wrt w. 348*w + 440 Find the first derivative of -3*h*r**3 + 12549*h*r - h - 13828*r**3 - 4 wrt h. -3*r**3 + 12549*r - 1 What is the second derivative of 6*u**5 + 3*u**3 - 467*u**2 - 55180*u? 120*u**3 + 18*u - 934 Find the first derivative of 2605*a**3 + 42*a**2 + 830129. 7815*a**2 + 84*a Find the second derivative of -5*i**5 + 3026*i**2 + 1215*i + 66 wrt i. -100*i**3 + 6052 Find the second derivative of -2*c**3*f**3 - 4*c**3 - 435411*f**4 + 587114*f wrt f. -12*c**3*f - 5224932*f**2 Find the first derivative of 27*g**4 + 127*g**3 - 940 wrt g. 108*g**3 + 381*g**2 Find the second derivative of -15310*k**4 + 43*k + 1115. -183720*k**2 Find the third derivative of 822496*d**3 + 41859*d**2 + 2. 4934976 What is the third derivative of -37*d*l**3 - d*l**2 + 11014*d*l - 2*d - 751*l**6 - 1 wrt l? -222*d - 90120*l**3 Find the first derivative of -329*y**4 - 1107*y - 1889928. -1316*y**3 - 1107 What is the derivative of -463147*o + 1295645? -463147 Differentiate 1660*f**3 - 289*f**2 - 5012836 wrt f. 4980*f**2 - 578*f Differentiate -7326*p + 38020. -7326 Find the second derivative of 411190*z**3 - 53678*z. 2467140*z Find the first derivative of -114*r**4*z - 2689*r**3*z**3 - 6*z**3 - 10883*z**2 wrt r. -456*r**3*z - 8067*r**2*z**3 What is the second derivative of 165519*o**2 + 108315*o wrt o? 331038 Find the first derivative of -62793*a**2*g - 2*a + 27758*g - 2 wrt a. -125586*a*g - 2 Find the third derivative of -3*g**3*x**2 - 61*g**3*x - 8*g**3 + 5*g**2*x + 14*g**2 - g*x**2 + g*x + 16 wrt g. -18*x**2 - 366*x - 48 What is the first derivative of -3118423*a + 2946029? -3118423 Find the third derivative of -2531782*o**3 - 1653819*o**2 wrt o. -15190692 Find the third derivative of -16*i**5*q + 80*i**4*q**2 - i**2*q - 21*i**2 + 3*i*q - 3*q**2 - 81*q wrt i. -960*i**2*q + 1920*i*q**2 Differentiate 351*y**2 + 78*y - 75241. 702*y + 78 Find the first derivative of 39227*a**2*p**3 - 12*a**2 + 26*a + 5 wrt p. 117681*a**2*p**2 What is the third derivative of -d**4*g - 2*d**4 - 11*d**3*g**2 + 62*d**3 + 13*d**2*g**2 + 493*d**2 - 6 wrt d? -24*d*g - 48*d - 66*g**2 + 372 Find the second derivative of 5761253*n**2 - 3515950*n wrt n. 11522506 What is the first derivative of -8879*g**2*r*y - g**2*r - 41*g**2 + g*r*y + 2*r*y**2 - 4*r wrt y? -8879*g**2*r + g*r + 4*r*y What is the first derivative of -246740*a**3 - 177708 wrt a? -740220*a**2 What is the second derivative of -223*o**5 + 178*o**3 - 7*o + 9604? -4460*o**3 + 1068*o Find the third derivative of 112886*q*r**4 - 125*q*r**2 - 2*r**4 - 670*r**2 wrt r. 2709264*q*r - 48*r What is the derivative of 30*p**2*z**2 - 20*p**2*z - 7*p*z**2 - 16*z**2 - 58*z - 36 wrt p? 60*p*z**2 - 40*p*z - 7*z**2 What is the third derivative of -2*g**3*x**3 - 247*g**3*x**2 + 178*g**2*x**3 - 13*g*x**3 - 1803*x**2 wrt x? -12*g**3 + 1068*g**2 - 78*g Differentiate -1825*y*z - 1609997*y + 102*z wrt z. -1825*y + 102 What is the third derivative of 116898*w**3 - 80757*w**2 + 1 wrt w? 701388 Find the third derivative of 3828312*p**4 - 124*p**2 + 5*p - 26. 91879488*p What is the derivative of 16*j**3*q + 2*j**3 - 3*j*q - 349551*j + 4650*q wrt q? 16*j**3 - 3*j + 4650 What is the third derivative of 670451*l**3*t**2 - 24190*l**2*t + 57*t**2 wrt l? 4022706*t**2 What is the third derivative of -74448*c**3*t**2 + c**3*t + 2*c**2*t**2 + 52*c**2 + 2*c*t**2 - 24*t**2 wrt c? -446688*t**2 + 6*t Differentiate -273*c**2*h*m*z**3 - c**2*m*z**2 - 2*c**2*z**3 + 2*h*m*z**3 - 2718*m*z wrt h. -273*c**2*m*z**3 + 2*m*z**3 What is the third derivative of 2*f**2*w**3 + f**2*w**2 + 7*f**2*w - 176*f*w**2 + 3269*w**5 + w**4 + w**2 wrt w? 12*f**2 + 196140*w**2 + 24*w Differentiate w**4 - 87*w**3 + 955*w**2 - 1313616 with respect to w. 4*w**3 - 261*w**2 + 1910*w What is the second derivative of -65164*v**2*x - 410*v + 7*x wrt v? -130328*x What is the derivative of 7775*j**2*r*t**3 - 11*j**2*r - 4213*j**2*t**3 + 8*j*t**3 wrt r? 7775*j**2*t**3 - 11*j**2 What is the third derivative of 133302*c**3 + 7*c**2 + 3825*c? 799812 What is the second derivative of 3*c**2*q**2 + 10*c**2*q + 3*c**2 - 2*c*q - c + 32*q**2 + 15 wrt c? 6*q**2 + 20*q + 6 Differentiate -15*p*v**2*z - 8570*p*v*z + 8*p + 1875*z - 4 with respect to v. -30*p*v*z - 8570*p*z What is the third derivative of 3666*j**2*p**3*s**2 - 4*j**2*p**2 + 4*j*p**2*s**2 - 4*j*p*s**2 - j*p*s - 14*p**3*s**3 - 27*p*s**3 wrt p? 21996*j**2*s**2 - 84*s**3 Differentiate 13608*h + 93515. 13608 What is the third derivative of -2739095*u**3 - 118923*u**2 - 8? -16434570 What is the second derivative of 41*i**3*x**3 - 2*i**2*x + 295*i**2 + 14105*i*x**3 + 2*i*x**2 wrt i? 246*i*x**3 - 4*x + 590 What is the derivative of -67*d*x**2*y - 4*d*x - 646*d*y - 124*d - 51*x**2 wrt x? -134*d*x*y - 4*d - 102*x Find the second derivative of 22055*o**2 + 16293*o wrt o. 44110 What is the derivative of -7*j**2*o**2 - 32247*j*o**3 - o**3 - 12*o**2 + o + 327 wrt j? -14*j*o**2 - 32247*o**3 Differentiate 27886*m + 41417. 27886 What is the derivative of 639497*j**2 - 129535 wrt j? 1278994*j Find the second derivative of 939125*t**2*y + t**2 - 7*t*y + 16*t - 5*y - 32 wrt t. 1878250*y + 2 Find the third derivative of 4*j**4 - 1789*j**3 + 2342*j**2 + 6. 96*j - 10734 Differentiate 20299*m**2 - 294888. 40598*m Find the third derivative of 176*f**3*g**3 - 128*f**3 + 3*f**2*g**3 - 274*f**2*g**2 - 11 wrt f. 1056*g**3 - 768 Differentiate -8*m**3*t + m**2*t**3 + 4688*m**2 - 2*t**3 - 2*t**2 + 5*t + 131 with respect to m. -24*m**2*t + 2*m*t**3 + 9376*m What is the first derivative of -179091*d + 29575? -179091 Find the second derivative of -95565*y**3 + 3203*y + 10 wrt y. -573390*y What is the first derivative of 550*t**2 - 38*t - 4116991 wrt t? 1100*t - 38 Differentiate 6*c*k**2 - c*k - c - 396*k**2 + 4*k - 7192 wrt k. 12*c*k - c - 792*k + 4 What is the derivative of -5744*v**3 + 42*v**2 - v + 777713 wrt v? -17232*v**2 + 84*v - 1 Differentiate 1369900*t**3 + 1370791. 4109700*t**2 What is the second derivative of -b**4 + 17*b**3 + 3*b**2 - 2*b - 5056? -12*b**2 + 102*b + 6 Find the first derivative of 736367*n**3 - 2*n**2 - 607982 wrt n. 2209101*n**2 - 4*n What is the derivative of 9*c*f**4 - 44*c*s + 53*c + 13*f**4*s - f**4 wrt f? 36*c*f**3 + 52*f**3*s - 4*f**3 Find the first derivative of 4400*d**3*g + 12*d*g**2 + 2788954*g**2 wrt d. 13200*d**2*g + 12*g**2 Find the third derivative of 19928*l**6 - l**5 - l**4 - 306*l**2 - 56*l. 2391360*l**3 - 60*l**2 - 24*l Find the second derivative of -17512*f**2*q**3 + 122*f*q**3 + 430*f*q wrt f. -35024*q**3 What is the second derivative of -3*g**2*v**2 - 48*g**2 - 5586*g*v**2 - 63*g*v - 17*v**2 - 3*v wrt v? -6*g**2 - 11172*g - 34 What is the third derivative of -461468*o**4 - 4*o**2 - 187*o + 535 wrt o? -11075232*o What is the second derivative of -123023*c**2 + 84*c + 134 wrt c? -246046 Find the third derivative of -21696*t**3 - 5280*t**2 - 6*t - 2 wrt t. -130176 Differentiate -4*n**3 + 28317*n**2 + 302790. -12*n**2 + 56634*n What is the second derivative of 46*h**2*q**3 - 74998*h**2*q - h**2 + 2*h*q + 414*q**4 wrt q? 276*h**2*q + 4968*q**2 Find the third derivative of 320333*h*j**6 - 1619537*h*j**2 wrt j. 38439960*h*j**3 Find the second derivative of -1537692*c**4 + 2*c + 171543 wrt c. -18452304*c**2 What is the derivative of -2*p**2*s*t + 5*p**2 - 28*p*s*t + 11*p*t**3 + 32*p*t**2 + 74*s*t**3 + 1 wrt s? -2*p**2*t - 28*p*t + 74*t**3 Find the second derivative of 123789*b**4 - 12053*b - 3. 1485468*b**2 Find the third derivative of 271220*a**4 + 465957*a**2 wrt a. 6509280*a What is the third derivative of 47345*y**3 - 25*y**2 + 14*y - 3 wrt y? 284070 What is the third derivative of 2*k**4 + 12074*k**3 + 533101*k**2? 48*k + 72444 What is the second derivative of 1414184*v**2 + 3*v - 24393? 2828368 Differentiate -2*f*t - 579638*f - 1767975*t with respect to f. -2*t - 579638 Differentiate -835745*c**4*y**3 + 379409*y**3 wrt c. -3342980*c**3*y**3 What is the derivative of n**3*w + 23824*n**3 + 3015*n*w**3 wrt w? n**3 + 9045*n*w**2 Find the fir
{ "pile_set_name": "DM Mathematics" }
*c + 19 = 0. What are the prime factors of n? 3 Let i be 12/(-4)*(1 + -2). Suppose 0 = 2*h - 0 + 8, -k + i*h + 48 = 0. Suppose 4*n + 78 = 2*d, -n + 0*n - k = -d. What are the prime factors of d? 3, 11 Suppose 0 = -4*f + 2*f + 6. Suppose -3*z - z + 27 = 3*s, -f*z = -5*s - 13. Suppose -d - 1 = -z. What are the prime factors of d? 5 Let g = 69 - 60. Suppose -546 + 1797 = g*j. What are the prime factors of j? 139 Suppose -w = 5*z - 17, 4*z - 3*w = -0*z + 25. Suppose 3*r - 3*a + 5*a - 4 = 0, -2 = 2*a. Suppose i = -r + z. List the prime factors of i. 2 Suppose 2*f + 60 + 26 = 3*q, 3*q - 5*f - 89 = 0. Let o = q + -11. What are the prime factors of o? 17 Let k = 4781 + -2148. List the prime factors of k. 2633 Let z(j) be the first derivative of j**3/3 - 6*j**2 + 11*j - 12. List the prime factors of z(12). 11 Suppose 9 = o + 5*x, -5 = -2*o + x + 2*x. List the prime factors of (o + (-6 - -3))/(2/82). 41 Let c = 1545 - -61. List the prime factors of c. 2, 11, 73 Let h = -116 + 225. What are the prime factors of h? 109 Let s be (-160)/(-24) + 2/6. Let z(y) = -y**3 + 8*y**2 + 7*y + 5. List the prime factors of z(s). 103 Let a = 1706 - 1011. List the prime factors of a. 5, 139 Let q = 85 + -81. Suppose -300 = -3*r - q*i, 5*i + 4 = -11. List the prime factors of r. 2, 13 Let u = 1757 - 1209. List the prime factors of u. 2, 137 Suppose -4*j = j. Suppose j = 5*y - 10, -2*y - 95 = -k - 4*y. List the prime factors of k. 7, 13 Suppose 0 = -32*i + 18101 + 52331. List the prime factors of i. 31, 71 Suppose 0 = 4*f - 30 - 150. Suppose -6*w + w + f = 0. What are the prime factors of w? 3 Suppose 0 = 5*l + 5*z + 5, 3*z + 3 = -6*l + 8*l. Suppose 3*c + 2 - 77 = l. What are the prime factors of c? 5 What are the prime factors of (22 - 26) + 2209/1? 3, 5, 7 Suppose 108 = 4*r - 4*w, -2*r - 5*w + 4 = -22. What are the prime factors of 145/3 - r/69? 2, 3 Let a(g) = g**3 - 3*g**2 - 6*g - 17. Let k be a(7). Suppose 8*d - 191 - k = 0. What are the prime factors of d? 41 What are the prime factors of 32/(-80) + (-3924)/(-10)? 2, 7 Suppose 0 = 4*v + 2*t - 4288, 2*v + t = -2*t + 2144. What are the prime factors of v? 2, 67 Let x be ((-3920)/(-24))/((-2)/(-3)). Let b = x - 161. What are the prime factors of b? 2, 3, 7 Let a be 1352/10 - (-6)/(2 + -32). Let y = a - 88. What are the prime factors of y? 47 Suppose 0 = -4*k - 5*n + 1, -11*n = -k - 9*n - 16. Let p(u) = -2*u**3 - 4*u**2 - 5*u - 6. What are the prime factors of p(k)? 2, 3, 13 Suppose 0 = 4*a + 16, 3*q + a = -3*a + 716. What are the prime factors of q? 2, 61 Let r(v) = 23*v + 2. Let n(k) = 11*k + 1. Let w(m) = -11*n(m) + 6*r(m). List the prime factors of w(5). 2, 43 Let o = -24 + 14. List the prime factors of ((-12)/o)/(2/35). 3, 7 Let u(g) = 4*g**3 + 4*g**2 + 13*g - 3. Let i(s) = -3*s**3 - 3*s**2 - 12*s + 2. Let d(n) = -5*i(n) - 4*u(n). List the prime factors of d(-4). 2, 3 Let l(k) = 2*k**2 - 7*k + 14. Suppose -3*y = -0*y + x - 18, 2*y = -4*x + 2. List the prime factors of l(y). 3, 7 Let z(o) = 5*o**2 - 1. Let v be z(1). Let f = v + -6. What are the prime factors of 17 + (0 - 0 - f)? 19 Let g(w) = w**2 + 32*w - 48. What are the prime factors of g(10)? 2, 3, 31 Suppose -9*k + 44 = -8*k. Suppose 0 = 4*d - 5*r - 78, -2*d + k = -r + 8. List the prime factors of d. 17 Let y(q) = 32*q - 38. List the prime factors of y(19). 2, 3, 5, 19 Let a(d) = 18*d**2 - 3*d + 36. List the prime factors of a(12). 2, 3 Let h(o) = 177*o**2 + 23*o - 49. What are the prime factors of h(4)? 5, 23 Let g(m) = m**3 - 22*m**2 + 28*m - 23. Let j be g(25). Suppose 12*y = y + j. List the prime factors of y. 2, 29 Suppose -2*h - 13*t + 10*t + 3925 = 0, -4*h = 2*t - 7846. What are the prime factors of h? 37, 53 Let r be (-4 + 20)/(-4) + 70. Let g = -23 + r. List the prime factors of g. 43 Suppose 0 = -2*j - 27*j + 15747. List the prime factors of j. 3, 181 Suppose -2*a + 4*j + 1174 = 0, 0*a - 2*j + 2947 = 5*a. List the prime factors of a. 19, 31 Let k = 11 - 20. Let b = k - -13. Suppose x - 2 = -d + b, -5*x - 4*d = -30. What are the prime factors of x? 2, 3 Suppose -q = -5*d - 37, d - 2 - 5 = 5*q. Let x be (-4 + 0)*4/d. Suppose 3*s - 22 = 5*j - 89, -5*j - x*s + 47 = 0. What are the prime factors of j? 11 What are the prime factors of (33/(-9))/((-10)/1980)? 2, 3, 11 Suppose -g + 387 - 57 = 0. Let m = g + -150. List the prime factors of m. 2, 3, 5 Suppose -22*c + 11000 = 3124. List the prime factors of c. 2, 179 Let d(y) = -y**2 + 36*y + 5. List the prime factors of d(31). 2, 5 Let w(q) = q**2 - 5*q + 4. Let a be w(7). Let c = -11 + a. List the prime factors of c/14*(25 - 1). 2, 3 Suppose 17*q - 38332 = -20*q. What are the prime factors of q? 2, 7, 37 Let h(s) = -s + 1. Let q be 176/(-40) - (-4)/10. Let p be h(q). Suppose 0 = 2*a - p*m - 33, -5*a = -m - 0*m - 48. List the prime factors of a. 3 Suppose 3*p = -5*w + 4664, -2*w = 4*p - 2429 - 3771. What are the prime factors of p? 2, 3, 43 Suppose -290*y = -295*y + 655. List the prime factors of y. 131 List the prime factors of (-66)/(-11) + 494 + -1. 499 Suppose 6*f - 9*f = -318. What are the prime factors of f? 2, 53 Let q = -17 - -24. Suppose -q*v - 380 = -12*v. List the prime factors of v. 2, 19 Let u(o) = -3*o - 3. Let m be u(-4). Let f(a) = -1 + m*a**3 - a - 1 - a**2 + 3 - 3*a**3. What are the prime factors of f(1)? 5 Suppose x - 5*p - 1114 = 0, -p + 6*p = 5*x - 5570. What are the prime factors of x? 2, 557 Suppose 23 - 73 = -y - 2*q, -2*y - 2*q + 102 = 0. Suppose -5*m + 146 = u, 5*m + 4*u = y + 82. List the prime factors of m. 2, 3, 5 Suppose -18*f + 22*f = 6244. List the prime factors of f. 7, 223 What are the prime factors of (-88 - -110)/(2/113)? 11, 113 Suppose -9*x + 47*x = 101346. List the prime factors of x. 3, 7, 127 Let u(j) = j**2 + 13*j - 10. Let h be u(-14). Suppose 0 = -h*d + 7*d - 156. What are the prime factors of d? 2, 13 Suppose -2 = 5*s + 118. Let n be s/(-8)*(-2)/(-3). Suppose 0*a = 3*h + a - 110, -5*h + n*a = -198. List the prime factors of h. 2, 19 Suppose 0 = -2*l - 6 - 0. Let q be l + (4 - (3 + -4)). Suppose 0 = 3*w - 6, -2*w = -a + q*w + 13. List the prime factors of a. 3, 7 Suppose -2*j - p = -3*p - 4, 2 = j + 3*p. Suppose 42 = j*q - 4*v, q - 4*v - 13 = -2. List the prime factors of q. 31 Let j(i) = 27*i**2 - 2*i. Let x be j(1). Suppose 2*t + x = 7*t. Suppose t*f + b = 163, -2*b + 119 = 5*f - 42. List the prime factors of f. 3, 11 Let k(n) be the first derivative of -5*n**2 - 10*n + 6. Let w(q) = q**2 - q + 1. Let u(b) = k(b) - w(b). What are the prime factors of u(-5)? 3 Let x(a) = -6*a + 32. Let u be x(5). List the prime factors of (696/(-16))/(u/(-4)). 3, 29 Suppose 3*r - 35 = -2*r. Suppose -306 = h - r*h. What are the prime factors of h? 3, 17 Let p(a) = 7*a**2 - 4*a + 3. Let i be p(2). Suppose 5*j + 3*l - 24 = 25, i = 4*j - 3*l. Suppose -11 = -j*d + 7*d. What are the prime factors of d? 11 Let z(w) = -w**3 + 5*w**2 + 10*w. Let p be z(7). List the prime factors of -14*(0 + 40/p). 2, 5 Suppose 0 = 95*a - 90*a - 4415. List the prime factors of a. 883 Let g(u) = -12*u - 6. Let f be (30/(-4))/1 + (-18)/(-36). List the prime factors of g(f). 2, 3, 13 Let i(d) = d - 4. Let t be i(6). Let q(j) = 6*j**3 - 2*j**2 + 4*j - 2. What are the prime factors of q(t)? 2, 23 Let z = 42 - 37. Suppose z*m - 3*o + 35 = 137, 0 = 2*m + 2*o - 28. List the prime factors of m. 2, 3 Suppose 0 = 2*b + 375 - 1901. List the prime factors of b. 7, 109 Let u = 173 - -631. What are the prime factors of u? 2, 3, 67 Suppose -38 = 5*h + 157. Let g = 124 + h. List the prime factors of g. 5, 17 Suppose b + 8 = 7*p - 3*p, -2*b = 4*p - 32. Let j = b + 4. List the prime factors of j. 2, 3 List the prime factors of 22040/608*(-1616)/(-10). 2, 29, 101 Suppose 4*z - 2*a = -z + 1259, -5*z + 1274 = 3*a. List the prime factors of z. 11, 23 Suppose i + 42 = -6*f + 3*f, -2*f = -5*i - 244. Let h = 26 - i. List the prime factors of h. 2, 37 Let q be 2 + 97 - (-5 - -1 - -1). Suppose 2*s = 4*k + q, -5*s - 3*k + 300 = 2*k. What are the prime factors of s? 3, 19 Suppose 3*h - 14 = -0*h - 5*m, -4*h - m + 13 = 0. Let c(w) = -w**h - w - 2*w**2 + w - 2*w + 0*w**2 - 3. List the prime factors of c(-4). 37 Suppose 1250 = -0*d + 5*d. Suppose 4*t + d = 3*p, -280 = -3*p + 3*t - 5*t. Suppose 8*k + p = 11*k. List the prime factors of k.
{ "pile_set_name": "DM Mathematics" }
*2 + 9*v + 10. Let a be y(-8). Suppose -4*f = 2*n - 2, 6 = a*n + 5*f - 2*f. What is the units digit of n? 9 What is the units digit of (-9)/(4/108*-3)? 1 Suppose -5*x = 14 + 6. Let r be (x/(-6))/(1/18). Let g = -4 + r. What is the units digit of g? 8 Let w(g) = -15*g + 1. Let u(c) = -c - 2. Let a be u(-1). Let j be w(a). Let n = j + -6. What is the tens digit of n? 1 Let m = 8 - 5. Let d = -2 + m. What is the units digit of d? 1 Let k be -5 - 1 - (-2 + 1). Let g(n) = -n**3 - 5*n**2 - n. What is the units digit of g(k)? 5 Suppose -y + 152 = -2. What is the units digit of y? 4 Let u(w) = w**3 - 2*w**2 - 3*w - 11. Let k be u(5). Let j = k - 18. What is the units digit of j? 1 Suppose 2*b - 2*r = 138, 82 = 2*b + r - 62. What is the tens digit of b? 7 Suppose -2 - 1 = 3*p. Let u(k) be the second derivative of -k**3/2 + k**2/2 - k. What is the units digit of u(p)? 4 Let a = -2 - 15. Let w be (0 - -2)/((-2)/a). Let s = w - 8. What is the units digit of s? 9 Let y = 5 + -1. Suppose -w + y*w - 24 = 0. Suppose 24 = 4*d - w. What is the units digit of d? 8 Suppose 0 = -w + 1, w - 2 = -h + 2. Suppose -h*k - k + 72 = 0. What is the tens digit of k? 1 Let k = 84 + 8. What is the tens digit of k? 9 Let d = 41 - 1. What is the units digit of d? 0 Let z be 4 + 3 + (1 - 4). Suppose r + 175 = 3*y + 6*r, -z*y + 230 = 5*r. Suppose -5*p + 20 = -y. What is the tens digit of p? 1 Let y be 3*2/6 - 7. Let k(u) = -u**3 - 6*u**2 + 2*u + 5. Let x be k(y). What is the units digit of 8/5*(-2 - x)? 8 Suppose 5*x - 3*r + 0*r = 461, 0 = 4*r - 12. What is the units digit of x? 4 Suppose 1 = -s - 2. Let a be (1 - 0)*(-3 - s). Suppose a = 4*x + 2 - 62. What is the tens digit of x? 1 Let q be (0 - -14)/(1 + 0). Let t = -29 + q. What is the units digit of (-5)/(t/24) - 0? 8 Let w(s) = 10*s - 13. Let j(n) = 3*n - 4. Let b(z) = 7*j(z) - 2*w(z). Let k be b(4). Suppose -2*t - k*t = -20. What is the units digit of t? 5 Let f be ((1 - 1) + 0)*1. What is the units digit of (-4*4)/(-1 - f)? 6 Let t(g) = g**2 + 0 + 2*g + 0*g + 0 - 4*g**3. What is the tens digit of t(-2)? 3 Let n = -7 + 13. Let w be ((-4)/6)/((-2)/n). Suppose 4*k - 3*f = 16, -k + w*f = 4*k - 27. What is the units digit of k? 7 What is the tens digit of -10*5/(-20)*34? 8 Suppose 0 = 4*s + 5*i - 86, 0 = -0*s + 3*s + 4*i - 65. Let a = s - 9. What is the units digit of a? 0 Let k be (0 - -6)/((-9)/24). Let j = k - -27. What is the tens digit of j? 1 Let u = -17 + 8. Let p = u + 28. What is the tens digit of p? 1 Suppose -2*l - 35 = 6*g - g, 40 = -5*g - l. Let c = 23 + g. What is the tens digit of c? 1 Suppose -2*g = -4*x + 374, 5*g = x + 3*g - 92. Suppose 3*c = 4*p - 116, -4*c = 3*p - x + 7. What is the tens digit of p? 2 Let b be -1*(0 + 1 + 0). Let a = 4 + b. What is the units digit of a? 3 Suppose -89 - 44 = -7*o. What is the units digit of o? 9 Suppose -3*v - 58 = a - 237, -5*v + 270 = -4*a. What is the units digit of v? 8 Let x be (-4)/6 + 14/(-6). Let a(z) = 2*z**2 - 4*z + 3. Let t be a(2). Let v = t - x. What is the units digit of v? 6 Let n be (-1)/4 - (-65)/4. What is the units digit of n/6 + (-14)/21? 2 Let l(i) = 4*i**2 - 14*i - 4. What is the units digit of l(6)? 6 Let w(f) = f**2 + 3*f + 10. What is the units digit of w(-8)? 0 Let s(i) = i**2 + 12*i + 14. Let d be s(-11). Suppose d*r - 20 - 1 = 0. What is the units digit of r? 7 Suppose -2*c - 4*m = -30, 0 = -2*c - m - 4*m + 29. What is the units digit of c? 7 Suppose -21*u = -22*u + 147. What is the hundreds digit of u? 1 Suppose 4*f - 46 = -n - 2*n, -5*f - 47 = -n. What is the tens digit of n? 2 Let s = 0 + -8. Let k = s - -29. What is the tens digit of k? 2 Let y = 146 - 61. Suppose -2*w = -7*w + y. What is the tens digit of w? 1 Let m(z) = 35*z**2 + z - 1. Let j be m(-3). Suppose -7*g = -j + 17. What is the units digit of g? 2 Suppose 5*h = -k - 2*k + 91, 0 = -3*k - 2*h + 94. What is the tens digit of k? 3 Let j(b) = -b**2 - 11*b + 2. Let x be j(-11). What is the units digit of (-3)/6 - (-25)/x? 2 Let h(y) = 2*y**2 - 4*y + 1. Let m be 1/(2 - 1)*3. What is the units digit of h(m)? 7 Suppose -4*q + 2*y - 74 = -0*q, -3*y = -3*q - 63. Let h = -28 - q. Let z = 3 - h. What is the units digit of z? 5 Let v(b) = -b**2 + 4*b + 7. Let j be v(5). Suppose -47 = -j*o - 5. What is the units digit of o? 1 Let l be 56/10 + (-4)/(-10). Suppose 0 = 2*d + 4 + 2. What is the units digit of (-5)/d + l/(-9)? 1 What is the tens digit of (2 - 6) + (7 - 3) + 143? 4 Suppose 0*a + 3*a = 15. Suppose -a = 3*z + 2*z - r, -r + 5 = 3*z. Suppose 4*n + z - 4 = 0. What is the units digit of n? 1 Suppose 0 = -2*d - g + 119, -3*d + g - 4*g = -183. What is the units digit of d? 8 Let f = 16 + -26. Let c be (-56)/f + (-10)/(-25). Let p = c - 1. What is the units digit of p? 5 Let l(u) = -u**3 + 4*u**2 - 4*u + 3. Let j be l(3). Let a = 0 - j. Let k = 4 - a. What is the units digit of k? 4 Suppose 0 = 2*m + 3*m - 45. Let k = m - 7. Suppose -k + 66 = 4*c. What is the units digit of c? 6 Let w = 4 - 2. Suppose 3*j - 3*f - 114 = 0, 2*f + 2*f - 154 = -5*j. Suppose -3*h - n + 10 + 7 = 0, -w*h + 5*n = -j. What is the units digit of h? 7 Let a be (1*-1)/((-5)/(-30)). What is the units digit of a + 10 - 2*-1? 6 Let h be (9/(-3) - -1) + -1. Let i = 11 + h. What is the units digit of i? 8 Suppose 0 = 3*h + 63 - 183. What is the tens digit of h? 4 Suppose 0 = -4*o + 6 + 6. Let j(v) = -3 - v**2 - 2 + o - 6*v. What is the units digit of j(-5)? 3 Let m(u) = u**3 - 3*u**2 + 2*u - 4. Let i be m(3). Suppose 5 = i*y - 1. Suppose -21 = -2*t - 0*t + y*o, -4*o - 12 = 0. What is the units digit of t? 6 Suppose -2*w = -a + 46, 3*a + 0*w + 3*w - 138 = 0. Suppose 0 = -2*f + 14 + a. What is the tens digit of f? 3 Let m be 1/(-5) - 2/(-10). Suppose m = 7*r - 2*r. Suppose r = x - 5*c + 7, 5*c = 5*x + c - 7. What is the units digit of x? 3 Suppose -j + 2*j - 7 = 0. Let k be 8/(-20) - 14/(-10). Let x = j + k. What is the units digit of x? 8 Suppose -12*s = -11*s - 53. What is the tens digit of s? 5 Let o(m) = -34*m**3 + 2*m**2 - m - 2. What is the tens digit of o(-1)? 3 Let h(m) = m**3 + 13*m**2 + 5*m - 9. Let w be h(-9). What is the units digit of w/25*(-10)/(-4)? 7 Let q = 30 + -8. Let d = -6 + q. What is the tens digit of ((-60)/16)/((-6)/d)? 1 Let b = 217 + -73. What is the units digit of b? 4 Let l(y) = -57*y**3 + y**2 + 3*y + 2. Let z be l(-1). Suppose -2*r + 38 = 4*i, -3*r + z + 2 = 4*i. What is the units digit of r? 1 Let r(x) = x**2 - 3*x - 9. Let o(s) = s**2 + s - 1. Let p(u) = 2*o(u) - r(u). Suppose -2*v - 5*m - 37 = 0, 2*v + 4*m + 27 = -5. What is the units digit of p(v)? 3 Let i(l) = l + 2. Let b be i(1). Suppose -b*d - r = 1 - 8, -1 = 3*d + 5*r. What is the units digit of d? 3 Let a(y) = -9*y. Let f be a(-5). Suppose 5*i - 5*m = f, -4*i - m = m - 60. What is the tens digit of i? 1 Suppose 5*j = -4*h + 56, 2*j - j + 4*h = 24. Suppose -4*k - 3*s + j = -s, -5*k - 2*s + 8 = 0. Suppose k = 5*w, 2*q - w - 24 = -q. What is the units digit of q? 8 Let z = 437 + -262. What is the tens digit of z? 7 Let r(i) = -i**3 - 6*i**2 - 3*i + 4. What is the tens digit of r(-8)? 5 Let m be (-1 + (-3)/(-5))*-5. Let p = 0 + m. What is the units digit of p? 2 Suppose 5*i - 2*m + 43 = 0, -2*i - 23 = 2*m - 3. Let d = 1 - i. What is the units digit of d? 0 Suppose 0 = -4*a + 11 + 9. Let b = 10 - a. Suppose -2*h + 5 = 5*q, -3*q + 36 = 3*h - b*q. What is the units digit of h? 0 Suppose -14 - 4 = 2*x. Let m = x - -5. What is the units digit of (-3)/(-12) - 15/m? 4 What is the units digit of 171/19 + -2 + 0? 7 Suppose 0 = -7*w + 3*w + 20. Suppose 2*t = -w*z + 2 + 2, 5*t + 3*z = 10. Suppose -t*y - 4 = -12. What is the units digit of y? 4 Let d(w) = w**3 - 5*w**2 + 8*w - 10. What is the units digit of d(6)? 4 Let b = -2 - -5. Suppose -u + 5*a - b = -2, 8 = 2*a. What is the units digit of u? 9 Suppose 2*o + 2*o = 16. What is the tens digit of (o/(-10))/(2/(-60))? 1 Let u(q) = -q**3 + 11*q**2 - 9*q - 6. Let s be u(10). Let k = 23 - s. What is the tens digit of k? 1 Let s be (-124)/(-16) - 3/(-12). Let h = 14 - s. What is the units digit of h? 6 Let t(z) = 2*z**2 - 7*z - 13. What is the tens digit of t(8)? 5 Suppose 3*s + 1 + 2 = 0. Let r(c) be the second derivative of 4*c**4/3 - c**3/6 - 21*c. What is the units digit of r(s)? 7 Let d(t) = t**2 + 8
{ "pile_set_name": "DM Mathematics" }
composite number? False Is 806317 a prime number? True Is 21492209 composite? True Is 3543809 prime? False Is 48676249 a composite number? True Is 11583787 composite? True Is 472983851 a prime number? True Is 13212271 a prime number? False Is 2986265 a composite number? True Is 75467878 composite? True Is 2998223 prime? False Is 6920869 prime? True Is 17408841 a prime number? False Is 9823699 a composite number? True Is 1423937 prime? False Is 9253435 a composite number? True Is 20516681 composite? False Is 101847617 prime? False Is 347486879 a prime number? True Is 485658154 a composite number? True Is 38155979 a prime number? True Is 18827687 a composite number? True Is 705821 prime? True Is 179195831 prime? True Is 1236786189 composite? True Is 16776289 prime? True Is 9380597 a composite number? False Is 32004923 composite? True Is 34924823 prime? False Is 1760449 composite? False Is 194756797 a composite number? False Is 74330441 a composite number? False Is 104239801 composite? True Is 86647 a prime number? False Is 8675659 prime? False Is 188351979 a composite number? True Is 76019851 composite? False Is 62686099 a prime number? False Is 10545391 composite? True Is 84203881 prime? True Is 73944209 a composite number? True Is 55521923 a prime number? True Is 15159358 composite? True Is 670211 composite? False Is 1872197 a prime number? False Is 2585549 a composite number? False Is 228806387 composite? True Is 88960967 a prime number? False Is 62763851 composite? False Is 88200899 a composite number? False Is 137234227 composite? True Is 603816877 a composite number? True Is 17929099 a prime number? True Is 77358637 a prime number? False Is 7616861 a composite number? True Is 350735171 a composite number? True Is 17221606 a prime number? False Is 24046189 composite? True Is 13898327 a prime number? True Is 577453 a prime number? True Is 16406711 a composite number? False Is 4436807 composite? True Is 1991807 a prime number? False Is 312096793 prime? False Is 72124787 a prime number? False Is 4274966 composite? True Is 76516943 a composite number? False Is 30676609 prime? False Is 7907245 a composite number? True Is 3474523 composite? True Is 188999 prime? True Is 57972797 composite? False Is 118297 prime? True Is 55903369 composite? False Is 28589017 prime? True Is 3337157 composite? True Is 354173 a prime number? False Is 513136297 composite? True Is 27294191 a prime number? False Is 4605863 a composite number? True Is 49000849 prime? False Is 44581123 prime? False Is 2974817 prime? True Is 3479653 composite? False Is 2539951 composite? False Is 3779387 prime? True Is 11472367 prime? False Is 36891707 a prime number? True Is 168676987 a prime number? False Is 7139159 prime? False Is 34334269 composite? True Is 10729093 composite? False Is 223393 a composite number? True Is 1641863 a prime number? True Is 34388099 prime? True Is 172977523 a prime number? True Is 7551173 a composite number? True Is 84876377 composite? False Is 25180289 composite? False Is 2843669 prime? False Is 3293383 prime? False Is 912997 composite? True Is 18791915 composite? True Is 41502991 a prime number? True Is 1670597 composite? False Is 15180353 a composite number? True Is 1213309 prime? False Is 19249081 a composite number? False Is 37950229 composite? False Is 30171761 prime? False Is 123489731 a composite number? True Is 24277511 composite? True Is 2366473 composite? False Is 35792453 composite? False Is 483787 a prime number? True Is 60272881 a composite number? True Is 1450199 prime? True Is 1937197 composite? False Is 29075053 composite? True Is 10430747 prime? True Is 4751759 a composite number? True Is 14378501 a composite number? False Is 236850629 a composite number? False Is 28905367 a prime number? False Is 4616347 a prime number? True Is 42683489 composite? True Is 10971629 a composite number? False Is 19305059 composite? False Is 920891 prime? True Is 2823749 a prime number? True Is 22186541 composite? True Is 16232509 composite? False Is 714888919 composite? False Is 1317013 prime? True Is 39371623 a prime number? True Is 86096651 prime? False Is 65462561 composite? False Is 3204463 a prime number? True Is 3554461 a prime number? True Is 1273879 composite? False Is 4519987 a prime number? False Is 24879829 composite? True Is 44193913 a composite number? True Is 111296081 composite? True Is 33490169 a prime number? False Is 37617 a prime number? False Is 16444201 prime? True Is 4665653 composite? False Is 124957 a composite number? True Is 181667 composite? False Is 205957705 composite? True Is 9270997 a composite number? True Is 24032209 prime? False Is 85141555 composite? True Is 6601883 a prime number? True Is 5068643 prime? False Is 37887167 composite? False Is 14881117 a composite number? False Is 2016821 a composite number? False Is 2958077 a composite number? False Is 7130519 a prime number? False Is 849271 a prime number? True Is 105652889 prime? False Is 3725179 prime? True Is 54876587 a prime number? False Is 12953699 a composite number? True Is 761258 prime? False Is 44491807 composite? False Is 118018699 composite? False Is 4314431 a prime number? False Is 1492531 composite? True Is 350148041 a composite number? False Is 16700403 a prime number? False Is 891377 composite? False Is 42880403 a composite number? True Is 756733 a composite number? True Is 652033 prime? True Is 4270829 composite? False Is 3675923 composite? False Is 367458745 a composite number? True Is 2676515 prime? False Is 122906261 a prime number? True Is 3198099371 a prime number? True Is 7338169 a prime number? False Is 139708157 prime? True Is 14737439 a prime number? True Is 60249083 a composite number? False Is 13021369 prime? False Is 5833619 a prime number? False Is 64495237 a prime number? True Is 3966029 a prime number? True Is 1458007 a composite number? True Is 675017 a composite number? True Is 48947 a prime number? True Is 676703 a composite number? False Is 23990767 a prime number? True Is 22972987 prime? True Is 242773 a composite number? False Is 776386469 a composite number? True Is 3264563 composite? True Is 141364547 prime? True Is 25135546 a composite number? True Is 12418633 a prime number? True Is 8116093 a composite number? False Is 5843681 prime? False Is 2847503 prime? False Is 41406347 prime? True Is 3673337 a prime number? True Is 659114 a prime number? False Is 59218127 prime? False Is 22186457 composite? True Is 6569159 composite? True Is 22095899 prime? False Is 208270807 prime? False Is 25389487 a composite number? False Is 242245 prime? False Is 64688831 a prime number? True Is 20599157 prime? False Is 43736599 a composite number? False Is 236661 composite? True Is 161172107 a composite number? True Is 6276782 a composite number? True Is 104261569 a prime number? False Is 20603939 a composite number? True Is 30052943 prime? False Is 43062311 a prime number? True Is 95593033 a prime number? False Is 20556667 prime? True Is 25230547 a prime number? True Is 222842843 a prime number? False Is 24479537 a prime number? True Is 87018145 prime? False Is 28974685 composite? True Is 399043 composite? False Is 8375803 composite? False Is 16220419 composite? False Is 19755053 a prime number? True Is 3072161 composite? False Is 3210299 prime? False Is 7401011 composite? True Is 552706697 a composite number? False Is 8681429 composite? False Is 6363314 a prime number? False Is 1895831 a prime number? False Is 42695813 a composite number? False Is 9946871 a prime number? False Is 1010237 composite? False Is 1172971 a composite number? True Is 21646363 a composite number? False Is 1719187 a composite number? False Is 47394143 prime? True Is 5718733 a prime number? False Is 1936097 composite? False Is 725479 a prime number? True Is 849689 a composite number? True Is 1788627 a prime number? False Is 6370477 composite? False Is 234782477 prime? True Is 459909301 prime? False Is 10438657 a composite number? True Is 9928693 prime? True Is 52573049 prime? True Is 2537569 prime? False Is 610253 composite? True Is 11729053 composite? True Is 7438771 a prime number? False Is 431911 a prime number? True Is 2972663 a composite number? False Is 23105651 a comp
{ "pile_set_name": "DM Mathematics" }
for f. 4 Let b(z) = z + 4. Let f be b(1). Suppose -4*m - 30 = -2*h, -f*h + 29 = -3*m - 11. Solve h*n + 2*p - 3 = -9, -p = 3 for n. 0 Let z(p) = -2*p + 20. Let v be z(9). Let j = -6 + 9. Let q be 16 - ((0 - j) + 0). Solve -u = -5*n - 2, 3*u + v*u = -4*n - q for n. -1 Suppose 164 - 160 = 2*s. Solve -m + 3 = -i + m, 3*i - s*m = -5 for i. -1 Let p(v) = v + 16. Let f be p(-14). Let x(m) = 4*m - 6. Let t be x(f). Solve o - 3*a - 27 = t*a, 0 = -5*o - 4*a - 10 for o. 2 Let j(k) = k**2 - 5*k - 4. Let m be j(6). Let t be (5 + -6)*1 + 4. Solve 0 = -m*g - t*x - 17, -g + 18 = g - 4*x for g. -1 Let q be -3*((-2*6)/2 + 5). Solve q*s - s = 2, 2*k + 4*s - 10 = 0 for k. 3 Let b = 15 - 15. Let a = 2 - b. Solve 0 = c + 4*z - 11, 3*c - 2*c + 7 = a*z for c. -1 Suppose -4*w = 24 + 4. Let z(p) = -2*p - 13. Let l be z(w). Let q be (50/20)/(l/2). Solve q*b = -3*f, -7 - 3 = 5*b + f for b. -3 Suppose -7*h = -3*h + 16. Let g be h/(3/(18/(-4))). Suppose g*b - 2*b = 3*r - 8, -r = -4*b. Solve r*f - 4*d + 20 = 0, -3*d = f - 2 - 9 for f. -1 Suppose w = -w. Let l = 17 - 21. Let t be (-16)/(-2) - 0/(-2 - l). Solve 0 = b + 2*b - 5*p - 1, w = 5*b - 2*p - t for b. 2 Let c be ((-2)/7)/(15/(-14) + 1). Solve -u + 3 = -j + 2*u, -c*u + 4 = -2*j for j. 0 Let y = -13 + 7. Let l be 2 + y/3 + 2. Suppose l*p + 0*p = 4. Solve -2*u - c = -u + 8, 0 = -p*u - 3*c - 19 for u. -5 Suppose -3 = -4*x + 3*i - 10, 5*x - 35 = -5*i. Solve 11*o = -4*w + 13*o + 18, -w = x*o - 7 for w. 5 Let o = -57 + 60. Suppose -o*d + 2*i = -2*i + 8, 5*d - 5*i + 5 = 0. Solve -4*v - 4*j + 12 = 0, -4*j + 6 - 2 = -d*v for v. 1 Let y(o) = -o**2 - 18*o - 40. Let c be y(-15). Solve 0 = -2*u + 7*u - 5*i, -3*i + 6 = -c*u for u. -3 Suppose 15*f - 22 = 38. Solve -3*t = 3*s - t + 1, f*t = 4*s - 32 for s. 3 Let b(y) = -y**2 + 8*y - 3. Let o be b(7). Let a = 23 + 0. Let m = -20 + a. Solve -5*n = s + o*s, 5*n + m*s = -2 for n. -1 Let n = 6 - 6. Suppose 4*x + 16 - 196 = n. Let d = x - 32. Solve 4*l - 4*y - d = y, l - 22 = 5*y for l. -3 Let w(c) = -c**3 - 14*c**2 - 21*c + 40. Let j be w(-12). Solve -5*s + j*u = 45, -4*s - 5*u + 2 + 3 = 0 for s. -5 Let y(i) = 2*i**3 + 9*i**2 + 2*i - 3. Let b be y(-4). Solve 3*h + b*x = 2, 3*h + 3*x = -2*h - 2 for h. -1 Suppose 2*o - 96 + 16 = 0. Let z be ((-3)/(-5))/(12/o). Solve -z*v = -g - 11, v - 4*v = -4*g - 24 for g. -3 Suppose -22 = -4*k - 22. Solve 2*w + k = 3*v - 1, 2*w - 5 = -3*v for w. 1 Suppose 2*w = -w + 9. Suppose -w*g + 20 = g. Solve -g*a - 20 = -0*a - 5*c, 2*c = 10 for a. 1 Let v(h) = -h + 6. Suppose 20 = -8*t + 13*t. Let o be v(t). Solve -2*n - 16 = -o*y + 4, 2*y - 4*n - 30 = 0 for y. 5 Let j be (2/(-2))/(-5 - 70/(-15)). Solve 6*z - 2*k = z + 21, -4*z = j*k - 26 for z. 5 Let q(j) be the third derivative of j**6/120 - 7*j**5/60 + j**4/3 - 2*j**3 + 16*j**2. Let p be q(6). Solve -2*d = -p*g + 3*g - 4, 0 = 5*d + 20 for g. 4 Let l(v) = 5*v**2 - 4*v + 5. Let y be l(2). Let t = y + -14. Suppose -g = t*g - 8. Solve -1 = 4*b - f, 0*b + 5*b + g*f - 2 = 0 for b. 0 Let n be (-3*(-5)/2)/((-663)/(-442)). Solve 0*k + n*f = 2*k + 20, -2*f + 8 = -4*k for k. 0 Suppose -5*t - 3*c + 30 = 0, 10*t = 9*t - 4*c + 23. Solve t*i = 2*m + 18, 2*m = 2*i - m - 17 for i. 4 Suppose 2*l + 3 = k + 4*l, 5*k - 2*l - 27 = 0. Solve 8 = -4*p - 3*o, 3*p - k*p - 22 = -3*o for p. -5 Let f = 4 - 3. Let l be (-10)/(-4) + f/2. Suppose -l*n = -0 - 12. Solve -5*g = -10, -4*v - 9 = -n*g - 1 for v. 0 Suppose -2635*q = -2656*q + 63. Let h be -2 - (1 + -2 - 6). Solve f = -2*i + h, q*i - 5*f - 16 = -2 for i. 3 Let s(m) = -3*m**2 - 20*m - 9. Let k be s(-6). Solve -k*h - n = -6, 2*n = h - 3*h for h. 3 Let g = 54 - -4. Let u = g + -54. Solve 0 = 5*h + u*z, 3*h - z = 3 + 14 for h. 4 Let z be 6/(-27) + (-22)/(-18). Let t(d) = 4 + 2*d**2 + d + d**3 + 2*d**2 - 1 + 2*d. Let b be t(-2). Solve 0 = -b*j + 2*m + m + z, -3*j + 3 = -m for j. 2 Let s be (-1)/(4/168) + -3. Let i = s + 48. Solve -4*h + 12 = -b, i*b + 3*h - 8 - 1 = 0 for b. 0 Let q(i) be the second derivative of i**3/3 + 8*i**2 + 2*i - 17. Let h be q(-7). Solve h*k - 4*n = 4*k - 30, 2*n = 2*k for k. 5 Let v be ((-12)/2 - -8)/((-2)/(-9)). Suppose -4*a + 5*h = v, a + h + 11 = 5*a. Solve -2*q + 6 = i + i, a*i = -3*q + 12 for i. 3 Let o(z) = -z**3 + z**2 - z + 5. Let k be o(0). Let q = k + 0. Solve -2*l = -q*t - 6*l + 6, t + l = 1 for t. 2 Let g = 1 + 0. Let r = g - -2. Let n(i) = i**3 - 16*i**2 + 15*i + 2. Let p be n(15). Solve p*q + 12 = r*v, 2*v + 2*v + 3*q = 16 for v. 4 Let n(s) = 4*s - 11. Let c be n(8). Let d = 26 + -7. Suppose d = 4*l + m + 4*m, 2*m + c = l. Solve 0 = 5*h - 5*k - l + 1, 2*h - 4*k = 0 for h. 4 Let l be (8*13/(-572))/(3/(-99)). Let a be (-2 - 0)*-1 - -2. Solve -z = -3*o - 2*z - a, -l = 2*o - z for o. -2 Let g = -206 - -208. Solve 1 = 2*i + 2*x + 9, i - g*x + 7 = 0 for i. -5 Let o(b) = b**3 + 19*b**2 - 19*b + 25. Let h be o(-20). Solve -4*y + 8 = 0, 2*s - 7*y = -h*y - 8 for s. -2 Let u = -12 - -14. Suppose -5*s = -24 + 54. Let k be (0 - 0) + (-2 - s). Solve u*m - 5*c - 2 - 24 = 0, k*m = 4*c + 28 for m. 3 Let l(a) = 14*a + 6. Let w be l(-3). Let y = w - -41. Solve 3*g = -y*n + 31, g = -4*n + 5*g + 12 for n. 5 Suppose 3*h = 4*k - 11, 3*k - 4*h + 3*h - 12 = 0. Solve -2*b + 2*q = -4, 2*b - 3*b + k*q = -14 for b. -1 Suppose -2*i + 6 = 0, -i + 37 = 5*p - 41. Solve p = -y - 4*t + 10, -2*y - 4 = 2*t for y. -1 Suppose 0*z - 18 = -2*b - 5*z, 2 = 2*b - 3*z. Solve 16 = 5*a - b*r, 5*a + 21 - 9 = -3*r for a. 0 Let n = 9 + -5. Let a = 789 - 786. Suppose -n*d - 3 = -a*d, u = -3*d - 7. Solve 4*v - 1 = q - u, -2*q - 3*v = 9 for q. -3 Let w = -11 + 16. Let a be (-4)/(-14) - (-2)/(-7). Let p be 0 - ((-4)/(-1) + -3)*0. Solve a = -5*n - 4*h + 4, p = -5*h - 0 + w for n. 0 Suppose 5*z = -d - d - 73, -3*d - z - 77 = 0. Let m = d - -25. Solve 4*u + 3 = -5*l, 0 = 3*u + 2*l + 3*l + m for u. -2 Let l = 65 + -62. Suppose 7 - l = -2*z, 2*f - z - 6 = 0. Solve -v + 4 = 0, 4 = 3*u + f*v - 7 for u. 1 Let d = -1278 - -1282. Solve -3*p + d*z - 32 = 0, 0 = 3*p - 0*p + 2*z + 2 for p. -4 Let v(s) = 0 + 7 + s + 1 + 1. Let p be v(-4). Let h be -4*(-2)/((-8)/(-9)). Solve -p*a - h = -b, -13 = a - 4*b + 4 for a. -1 Let s = -2304 + 2307. Solve -25*b = -27*b + l + 7, s*b = l + 9 for b. 2 Suppose 0 = -3*a + 5*t + 23, 3*t = 58*a - 60*a + 9. Solve -y = -2*h - 0*h - 1, 3*y + 3*h = -a for y. -1 Suppose 7*w - 5*w = 8. Let g be 0 + (w - (3 + 1)). Solve g*q - 4*z + 6 = -2*q, q - 3*z + 2 = 0 for q. -5 Suppose -5*i - k + 31 = -4*i, 5*i + 2*k = 158. Suppose -h + 35 = i. Solve 5*p + 3 = 3*c + 5, -h*p - 14 = 2*c for p. -2 Suppose 0 = -3*i + 5*i + 2. Let n(o) = -o + 2. Let c be n(i). Solve u + 5*g + c = 0, 2 = 5*u - 2*u + 4*g for u. 2 Let b = 325 + -325. Solve -z + b*z - 5*m - 15 = 0, 2*z = -m + 6 for z. 5 Suppose -5*i = -3*r - 29, 0 = -5*i + 2*r - 6 + 32. Solve 3*t - i + 16 = -4*x, 5*x + 15 = 0 for t. 0 Suppose -n + t = 11 - 16, -2*n + 3*t = -12. Solve 5*q = 4*j, n*q + j - 10 = 7 for q. 4 Let l = 0 + 2. Suppose 0 = -3*f - 5*n + 16, -3*n - 6 + 14 = f. Solve -t = w - 6 - 0, -f = -5*t + l*w for t. 2 Suppose -8*q + 28 + 28 = 0. Solve -q*v - 4*r = -3*v - 24, 3*r = -5*v + 24 for v. 3 Let c(r) = r**2 + 12*r - 128. Let m be c(7). Solve 4*t - 36 = -4*j, -m*j + t + t = -17 for j. 5 Suppose -47*x = -1041 + 383. Solve 0 = 5*r + 10, -2*r = -2*n + x for n. 5 Suppose 2*d = -p - 27 + 28, -2*d = 2*p. Solve -2*g - d = m, -10 + 0 = -5*m + 5*g for m. 1 Suppose -5*n + v = -2, 5*v = 4*n + 29 - 39. Solve 5*o + 5*k + 0*k - 20 = n, k - 5 = 0 for o. -1 Let k(a) = 11*a - 3. Let h be k(1). Let c(o) = -o**3 + 8*o**2 + 4. Let i be c(h). Solve -4*g + 8 = 3*w, 0 = -2*g - 2*w - i + 10 for g. -1 Suppose 14 = -2*k + 2*q + 66, 5*k + 3*q - 106 = 0. Let h = 72 + -68. Solve -2*m - h*a - 1 = k, 2*m = 2*a for m. -4 Suppose c + 3*c - 2*j - 28 = 0, -29 = -5*c + j. Solve -p + 4*x = 7*x + 1, -c*p = 4*x - 6 for p. 2 Suppose -4*a - 4*p + 36 = 0, 28 = -0*a + 2*a + 4*p. Solve a + 6 = 5*i, 2*y = -3*i - 2 for y. -4 Suppose 6*w - 4*w = -5*t + 52, -72 = -5*t + 3*w. Solve 3*c + t = u + c, -12 = 3*c for u. 4 Let l be (-21)/(-4) + 5/(-20). Let t(k) = 2*k - 3. Let h be t(l). Suppose -2*i = 1 - 7. Solve 2*c + i*y - 19 = 0, -4*y + 5 = -h for c. 5 Suppose -2*w - 2*u = -40, 8*u - 13*u + 62 = 3*w. Solve -16 = -2*m - 7*q + 3*q, -2*m + 3*q = w for m. -2 Suppose n + 4 = -n - 4*q, 6*n - q - 1 =
{ "pile_set_name": "DM Mathematics" }
icked without replacement from {g: 1, x: 3, s: 3, l: 5, y: 1}? 15/572 Four letters picked without replacement from haaaaahhahx. What is prob of sequence hhhh? 1/330 Two letters picked without replacement from uuuuuuu. What is prob of sequence uu? 1 Four letters picked without replacement from {z: 12, v: 3}. Give prob of sequence zzzz. 33/91 Four letters picked without replacement from {y: 2, l: 2, u: 1, a: 5, i: 1, o: 2}. What is prob of sequence aaya? 1/143 Four letters picked without replacement from dddddddddvdd. Give prob of sequence vddd. 1/12 Calculate prob of sequence qra when three letters picked without replacement from {o: 2, a: 1, r: 1, q: 9}. 3/572 Calculate prob of sequence jj when two letters picked without replacement from {j: 6}. 1 Calculate prob of sequence tt when two letters picked without replacement from {t: 6, w: 2, u: 1, g: 4}. 5/26 Calculate prob of sequence zzb when three letters picked without replacement from {b: 7, z: 3}. 7/120 What is prob of sequence rfm when three letters picked without replacement from {f: 7, r: 1, m: 2, n: 10}? 7/3420 Calculate prob of sequence inn when three letters picked without replacement from {i: 3, n: 8}. 28/165 Four letters picked without replacement from {h: 5, q: 1, o: 4, g: 1, d: 3}. Give prob of sequence ohqo. 5/2002 Four letters picked without replacement from jhjsjhjhhh. Give prob of sequence sjjj. 1/210 Two letters picked without replacement from {s: 1, i: 1, d: 1, l: 1, v: 1}. What is prob of sequence li? 1/20 Two letters picked without replacement from {o: 4, p: 6}. Give prob of sequence po. 4/15 Two letters picked without replacement from {w: 1, l: 1, i: 10, g: 2}. Give prob of sequence gg. 1/91 What is prob of sequence yhr when three letters picked without replacement from yyumymmuvmhrummy? 1/840 Four letters picked without replacement from kxkk. Give prob of sequence kkxk. 1/4 Calculate prob of sequence zz when two letters picked without replacement from {z: 13, v: 6}. 26/57 Calculate prob of sequence rbr when three letters picked without replacement from bouujrjcjrjjr. 1/286 Calculate prob of sequence cgz when three letters picked without replacement from cczgzzzccz. 1/36 Three letters picked without replacement from dkkkkfkddfkdlll. Give prob of sequence fdl. 4/455 What is prob of sequence tk when two letters picked without replacement from kkfffkkktaffffkfktff? 7/190 What is prob of sequence tcy when three letters picked without replacement from ycttqy? 1/30 What is prob of sequence mk when two letters picked without replacement from kmmmmmmummkkmmmkkkm? 4/19 Calculate prob of sequence bata when four letters picked without replacement from rktzttakktbtaktk. 1/3640 Four letters picked without replacement from zimizfsd. What is prob of sequence imsi? 1/840 Four letters picked without replacement from {h: 2, u: 1, p: 1, b: 2, c: 1}. What is prob of sequence hbhp? 1/210 Three letters picked without replacement from {f: 2, h: 1, j: 1, u: 1, o: 1, i: 1}. Give prob of sequence hui. 1/210 Three letters picked without replacement from jrr. What is prob of sequence rrj? 1/3 Three letters picked without replacement from hcfhvscshvshhh. What is prob of sequence hsc? 3/182 Three letters picked without replacement from {w: 1, q: 2, l: 2}. What is prob of sequence www? 0 Three letters picked without replacement from {n: 8, g: 2, h: 1, o: 3, z: 1, q: 1}. Give prob of sequence nnq. 1/60 Two letters picked without replacement from {n: 3, r: 4, p: 2, y: 2}. What is prob of sequence rp? 4/55 Calculate prob of sequence pp when two letters picked without replacement from {n: 2, q: 1, p: 7, w: 2, x: 2, v: 2}. 7/40 What is prob of sequence ipi when three letters picked without replacement from ippgippgpppiiggi? 1/24 Two letters picked without replacement from {t: 2, l: 1, f: 2, c: 4}. Give prob of sequence ct. 1/9 What is prob of sequence mxx when three letters picked without replacement from maxxqxh? 1/35 Two letters picked without replacement from {a: 1, u: 2, s: 2, v: 1}. What is prob of sequence us? 2/15 What is prob of sequence xv when two letters picked without replacement from fviooowxfoiv? 1/66 Calculate prob of sequence ppud when four letters picked without replacement from ddpdpppu. 3/140 Two letters picked without replacement from eeheeeeesesvssse. What is prob of sequence se? 3/16 Calculate prob of sequence www when three letters picked without replacement from {w: 11, e: 1}. 3/4 Two letters picked without replacement from pxxxxxxp. Give prob of sequence px. 3/14 What is prob of sequence ombd when four letters picked without replacement from {m: 1, p: 5, d: 2, o: 5, b: 2, t: 5}? 1/5814 Calculate prob of sequence nno when three letters picked without replacement from onnoo. 1/10 Two letters picked without replacement from fynfyqnffyfninnqnyy. Give prob of sequence ni. 1/57 Three letters picked without replacement from ocohhvhicxc. What is prob of sequence icx? 1/330 Three letters picked without replacement from {q: 1, b: 5, u: 1, g: 4, h: 4}. What is prob of sequence ghb? 8/273 Three letters picked without replacement from {q: 5, y: 1, n: 4, u: 1}. Give prob of sequence nuu. 0 What is prob of sequence yddd when four letters picked without replacement from ddyyddyyyddd? 35/396 What is prob of sequence lrc when three letters picked without replacement from {h: 1, r: 3, l: 4, c: 4, j: 4}? 1/70 Four letters picked without replacement from llmaaammaaaa. What is prob of sequence lalm? 7/1980 Calculate prob of sequence bcv when three letters picked without replacement from vcvvjvbvxbcbvbcvc. 7/255 What is prob of sequence jss when three letters picked without replacement from {s: 1, j: 1, u: 1}? 0 Two letters picked without replacement from {s: 4, z: 5, k: 1}. What is prob of sequence ss? 2/15 Four letters picked without replacement from {e: 2, b: 5, i: 5, s: 3}. Give prob of sequence bbee. 1/819 Two letters picked without replacement from mqttgq. Give prob of sequence tq. 2/15 Four letters picked without replacement from {n: 1, u: 3, r: 5, a: 1}. Give prob of sequence unra. 1/336 Two letters picked without replacement from ccccdddcdc. What is prob of sequence cd? 4/15 Calculate prob of sequence cc when two letters picked without replacement from gsscggcsggs. 1/55 What is prob of sequence kkk when three letters picked without replacement from kkkkkkkkkk? 1 Calculate prob of sequence xxx when three letters picked without replacement from {x: 3}. 1 Two letters picked without replacement from {v: 2, q: 1, e: 1}. Give prob of sequence vq. 1/6 Four letters picked without replacement from fooooofooo. What is prob of sequence oofo? 2/15 What is prob of sequence nnnd when four letters picked without replacement from {d: 4, n: 15}? 455/3876 Three letters picked without replacement from {n: 2, a: 1, r: 7, z: 2}. What is prob of sequence arn? 7/660 Three letters picked without replacement from pccppppipcc. Give prob of sequence cip. 4/165 Three letters picked without replacement from wlalmwh. What is prob of sequence llh? 1/105 What is prob of sequence vnn when three letters picked without replacement from {n: 9, v: 2}? 8/55 Calculate prob of sequence iji when three letters picked without replacement from jii. 1/3 Two letters picked without replacement from {d: 4, o: 8, a: 4}. Give prob of sequence oo. 7/30 What is prob of sequence ukk when three letters picked without replacement from rkbqkkhkuhkqurrrhhku? 1/76 Two letters picked without replacement from {y: 3, x: 2, v: 7}. What is prob of sequence vx? 7/66 Calculate prob of sequence ek when two letters picked without replacement from kcekm. 1/10 What is prob of sequence qdid when four letters picked without replacement from {d: 3, i: 6, q: 7, b: 1}? 3/680 What is prob of sequence yi when two letters picked without replacement from {y: 1, k: 1, w: 2, o: 2, i: 2, s: 1}? 1/36 Two letters picked without replacement from {f: 4, q: 3, y: 2, m: 1, h: 9}. Give prob of sequence yq. 1/57 Two letters picked without replacement from {r: 9, n: 3}. What is prob of sequence nr? 9/44 Calculate prob of sequence krp when three letters picked without replacement from {k: 1, e: 1, p: 1, u: 1, r: 1, y: 2}. 1/210 Calculate prob of sequence ja when two letters picked
{ "pile_set_name": "DM Mathematics" }
0. -217, -11, -1 Let -i**2/5 - 22743*i/5 + 22748 = 0. What is i? -22748, 5 Factor -2*t**4 + 31242*t**3 + 31244*t**2. -2*t**2*(t - 15622)*(t + 1) Determine l, given that 3*l**3 - 15594*l**2 = 0. 0, 5198 Suppose -2*j**4/7 + 46*j**3/7 + 1142*j**2/7 + 4274*j/7 - 780 = 0. Calculate j. -10, -7, 1, 39 Solve 3*j**5/5 - 9378*j**4/5 + 39222*j**3 - 307740*j**2 + 1071675*j - 1397250 = 0. 5, 6, 3105 Find z such that 5*z**4 + 108356*z**3 + 587007791*z**2 - 469697256*z - 117418896 = 0. -10836, -1/5, 1 Find g such that -7*g**4 + 1431*g**3/4 - 17553*g**2/4 - 5200*g + 12675 = 0. -15/7, 5/4, 26 Factor 3*l**3/7 - 1446*l**2/7 + 22545*l. 3*l*(l - 315)*(l - 167)/7 Factor 25*m**4 + 155*m**3 - 441*m**2 - 675*m - 216. (m - 3)*(m + 8)*(5*m + 3)**2 Factor -4*r**3 + 8596*r**2. -4*r**2*(r - 2149) Let -w**2 - 5883*w = 0. What is w? -5883, 0 Factor -5*n**2 - 630*n - 5800. -5*(n + 10)*(n + 116) Let -4*t**2/5 - 61088*t/5 + 1039652/5 = 0. What is t? -15289, 17 Factor 4*a**3 - 8296*a**2 - 66576*a - 99936. 4*(a - 2082)*(a + 2)*(a + 6) What is q in 1535121*q**3 - 1532643*q**2 - 2477*q - 1 = 0? -1/1239, 1 Factor -2*b**2/9 + 98*b/9 + 640/3. -2*(b - 64)*(b + 15)/9 Find d, given that -2*d**2/3 - 478*d + 16016/3 = 0. -728, 11 Suppose 2*x**2/15 - 18218*x/15 + 96992/5 = 0. Calculate x. 16, 9093 Factor -55*z**2/3 + 673*z/6 + 893/3. -(z + 2)*(110*z - 893)/6 Factor -3900625*v**3 + 35113525*v**2/3 - 71104*v/9 + 4/3. -(v - 3)*(5925*v - 2)**2/9 Factor -2*s**3 + 1928*s**2 - 15200*s - 91776. -2*(s - 956)*(s - 12)*(s + 4) Factor 3*l**4/2 + 11283*l**3/2 + 33831*l**2/2 + 33825*l/2 + 5637. 3*(l + 1)**3*(l + 3758)/2 Factor 3*t**3 - 141*t**2 - 939*t - 795. 3*(t - 53)*(t + 1)*(t + 5) Let n**3/4 + 3567*n**2/2 + 14265*n/4 + 1783 = 0. Calculate n. -7132, -1 Find t such that 3*t**5 - 90*t**4 + 123*t**3 + 1260*t**2 = 0. -3, 0, 5, 28 What is z in 20*z**4 - 34144*z**3 - 102552*z**2 - 102592*z - 34204 = 0? -1, 8551/5 Find f, given that -25*f**5 - 5565*f**4 + 2305*f**3 + 16645*f**2 - 17820*f + 4460 = 0. -223, -2, 2/5, 1 Factor -t**3/8 - 99*t**2 + 1587*t/8 - 397/4. -(t - 1)**2*(t + 794)/8 Let -5*b**3/2 + 2705*b**2/2 - 9360*b + 8010 = 0. What is b? 1, 6, 534 Suppose 2*j**3/3 + 84254*j**2/3 + 28084*j = 0. Calculate j. -42126, -1, 0 Determine z so that 2*z**4/3 - 527*z**3/6 + 964*z**2/3 - 1021*z/6 - 64 = 0. -1/4, 1, 3, 128 Factor -z**2/2 + 47809*z - 95616. -(z - 95616)*(z - 2)/2 Let -2883*d**3 - 1857768*d**2 - 718812*d - 69552 = 0. What is d? -644, -6/31 Determine a, given that -12*a**3 + 1628052*a**2 + 1628061*a + 407016 = 0. -1/2, 135672 Determine l so that -3*l**5 + 658*l**4 - 855*l**3 - 3696*l**2 - 2180*l = 0. -1, 0, 10/3, 218 Factor -3*a**4 - 228*a**3 - 3879*a**2 + 13770*a. -3*a*(a - 3)*(a + 34)*(a + 45) Factor -d**4/2 + 9*d**3 + 42*d**2 - 980*d. -d*(d - 14)**2*(d + 10)/2 Factor 2*q**2 + 25656*q. 2*q*(q + 12828) Find f such that -2*f**4/3 + 2036*f**3/3 - 172720*f**2 - 2036*f/3 + 518162/3 = 0. -1, 1, 509 Let -189*v**3 - 123*v**2 + 65*v - 1 = 0. What is v? -1, 1/63, 1/3 Suppose 4*p**3 - 2600*p**2 + 12876*p + 15480 = 0. What is p? -1, 6, 645 Factor -5*c**2 + 6915*c + 6920. -5*(c - 1384)*(c + 1) Suppose 2*q**5/9 + 14*q**4/3 - 194*q**3/9 - 138*q**2 - 112*q = 0. What is q? -24, -3, -1, 0, 7 Determine n, given that -2*n**4/3 + 5986*n**3/3 - 11954*n**2/3 - 9974*n + 11964 = 0. -2, 1, 3, 2991 Factor 2*r**4/5 - 128*r**3/5 + 714*r**2/5 - 1044*r/5. 2*r*(r - 58)*(r - 3)**2/5 Factor -o**4 - 183*o**3 - 9041*o**2 - 142593*o - 250470. -(o + 2)*(o + 33)**2*(o + 115) Determine q, given that -20*q**3 - 36535*q**2 + 183095*q - 146540 = 0. -7327/4, 1, 4 Determine c, given that 5*c**3/4 + 6279*c**2/4 + 1255*c = 0. -1255, -4/5, 0 Solve 49282224016*f**2/9 + 887984*f/3 + 4 = 0 for f. -3/110998 Let -3*a**2 + 24093*a + 458850 = 0. What is a? -19, 8050 Suppose 3*k**2/7 - 45*k + 7638/7 = 0. Calculate k. 38, 67 Determine t so that 5*t**3/4 - 15635*t**2/4 + 3893575*t/4 - 253041145/4 = 0. 133, 2861 Determine z, given that -5*z**5 - 4955*z**4 + 178245*z**3 - 1335285*z**2 + 3736260*z - 3601260 = 0. -1026, 3, 26 Find q, given that 12*q**2 + 2643*q - 4662 = 0. -222, 7/4 Let 4*s**3/7 + 212*s**2/7 + 348*s/7 - 3060/7 = 0. Calculate s. -51, -5, 3 Factor h**3/3 - 99*h**2 + 488*h - 1168/3. (h - 292)*(h - 4)*(h - 1)/3 Suppose -25*v**4/4 + 12965*v**3/4 + 108795*v**2/2 + 235240*v + 85600 = 0. Calculate v. -8, -2/5, 535 Determine b, given that -5*b**2 - 3525*b - 27880 = 0. -697, -8 Suppose y**3/3 - y**2 - 790*y/3 - 2200 = 0. Calculate y. -20, -10, 33 Let 3*c**3 + 686520*c**2 = 0. Calculate c. -228840, 0 Suppose 4*x**5 - 8*x**4 - 104*x**3 - 224*x**2 - 188*x - 56 = 0. What is x? -2, -1, 7 Factor 2*x**3 + 494*x**2 - 1500*x. 2*x*(x - 3)*(x + 250) Factor 10*h**2 + 882*h + 18468. 2*(h + 54)*(5*h + 171) Find s, given that 5*s**4 + 18225*s**3 + 16561905*s**2 - 83156125*s + 99918750 = 0. -1825, 2, 3 Solve -207*a**4 + 5376*a**3 + 41349*a**2 - 45174*a - 1344 = 0 for a. -7, -2/69, 1, 32 Factor 2*h**2/9 + 994*h/3 + 5956/9. 2*(h + 2)*(h + 1489)/9 Suppose 2000*p**4 - 30520*p**3 - 24195*p**2 + 8245*p - 80 = 0. Calculate p. -1, 1/100, 1/4, 16 Factor 4*c**2/5 + 44*c/5 - 30504/5. 4*(c - 82)*(c + 93)/5 Factor -5*v**2 - 3345*v - 358450. -5*(v + 134)*(v + 535) Factor 2*n**4 + 513488*n**3 + 4621284*n**2 + 13863744*n + 13863690. 2*(n + 3)**3*(n + 256735) Factor 2*u**3/7 + 18*u**2 - 2312*u/7 + 312. 2*(u - 14)*(u - 1)*(u + 78)/7 What is u in 5*u**4/4 - 1602*u**3 + 686286*u**2 - 99085896*u + 347889492 = 0? 18/5, 426 Find g such that -4*g**3 - 21228*g**2 - 28343820*g - 475729700 = 0. -2645, -17 What is r in 2*r**2/11 - 82*r/11 - 59364/11 = 0? -153, 194 Find s such that 16*s**2/5 + 21379*s/5 + 4008/5 = 0. -1336, -3/16 Solve -4*i**5 + 3908*i**4 - 7796*i**3 - 3908*i**2 + 7800*i = 0. -1, 0, 1, 2, 975 Determine h, given that -h**2 + 406*h + 2472 = 0. -6, 412 Factor m**2/8 - 301391*m/4 + 90836534881/8. (m - 301391)**2/8 Factor 2*p**3/7 + 36646*p**2/7 + 167957742*p/7 + 838872810/7. 2*(p + 5)*(p + 9159)**2/7 Determine h so that 3*h**5 + 1860*h**4 - 32355*h**3 + 84000*h**2 - 53508*h = 0. -637, 0, 1, 2, 14 Determine w so that -119*w**5/3 + 110*w**4 - 274*w**3/3 + 32*w**2/3 + 11*w - 2/3 = 0. -2/7, 1/17, 1 Factor -5*g**2 - 145220*g + 726225. -5*(g - 5)*(g + 29049) Suppose 4*o**4 - 4016*o**3 + 1431288*o**2 - 218726128*o + 12221396900 = 0. Calculate o. 193, 425 Factor -2*b**2 + 20040*b - 180198. -2*(b - 10011)*(b - 9) Factor 4*l**2 - 74156*l + 74152. 4*(l - 18538)*(l - 1) Factor -r**2/2 + 524*r - 96390. -(r - 810)*(r - 238)/2 Factor -2*x**2/9 + 1108*x/9 + 33814/9. -2*(x - 583)*(x + 29)/9 Factor v**3/5 + 564*v**2 - 8467*v/5 + 5646/5. (v - 2)*(v - 1)*(v + 2823)/5 Factor 2*l**2/3 - 340*l/3 + 334. 2*(l - 167)*(l - 3)/3 Let 2*p**4/9 + 38*p**3 + 5686*p**2/3 + 196042*p/9 - 23716 = 0. Calculate p. -77, -18, 1 Find b such that 2*b**3 - 195940*b**2 + 391866*b + 587808 = 0. -1, 3, 97968 Find f, given that -64*f**5 + 1512*f**4 + 19608*f**3 + 6562*f**2 - 7368*f - 2970 = 0. -9, -1/2, 5/8, 33 Factor 4*i**4 + 364*i**3 + 8380*i**2 + 900*i - 162000. 4*(i - 4)*(i + 5)*(i + 45)**2 Factor 7*o**3/4 + 3713387*o**2/2 + 492472699464*o - 140706637128. (o + 530484)**2*(7*o - 2)/4 Solve 2*s**5/5 + 1092*s**4/5 - 62856*s**3/5 + 1154736*s**2/5 - 1399680*s = 0. -600, 0, 18 Factor -b**3 - 63*b**2 + 1093*b + 1155. -(b - 15)*(b + 1)*(b + 77) Determine t, given that t**2 + 8360*t = 0. -8360, 0 Factor o**4/3 - 7*o**3/3 - 3430*o**2. o**2*(o - 105)*(o + 98)/3 Determine d so that 3*d**2/7 - 2329122*d/7 + 452067440907/7 = 0. 388187 Factor 5*u**3 + 15935*u**2 + 31855*u + 15925. 5*(u + 1)**2*(u + 3185) Factor -5*h**2 + 55895*h + 167730. -5*(h - 11182)*(h + 3) Factor -2*u**2/3 - 44668*u - 748211334. -2*(u + 33501)**2/3 Find p such that -2*p**5/9 - 74*p**4/9 + 2*p**3/9 + 74*p**2/9 = 0. -37, -1, 0, 1 Factor 4*h**3 - 172*h**2 - 4324*h - 4148. 4*(h - 61)*(h + 1)*(h + 17) Find a such that 5*a**4 + 159880*a**3 + 639460*a**2 + 639440*a = 0. -31972, -2, 0 Factor 2*q**4 - 1420*q**3 + 12598*q**2 + 14020*q. 2*q*(q - 701)*(q - 10)*(q + 1) Factor 15*f**4/2 - 11838*f**3 - 14211*f**2/2. 3*f**2*(f - 1579)*(5*f + 3)/2 Find l, given that -14*l**4 + 277808*l**3 - 2777776*l**2/7 - 2063552*l/7 - 317472/7 = 0. -2/7, 2, 19842 What is q in -2*q**4/9 + 604*q**3/9 - 9718*q**2/9 + 7916*q/9 + 6080/3 = 0? -1, 2, 16, 285 Factor -2*g**2/3 - 32056*g/3 + 10686. -2*(g -
{ "pile_set_name": "DM Mathematics" }
g = h for h. -2 Suppose 3*w = 4*i + 139, 2*w + 1943*i - 1947*i - 102 = 0. Solve w*z = 108*z + 497 for z. -7 Suppose -5*n + 2*n = -240. Let l = n + -87. Let m(v) = -v**3 - 8*v**2 - 8*v - 3. Let y be m(l). Solve 9 - 21 = -y*x for x. 3 Suppose 15*n - 264 = 4*n. Let m be -6*3/(n/(-4)). Let h be 0 + 2/m + (-40)/(-12). Solve -h = -3*g - g for g. 1 Suppose 4*v - 8 = 9 - 1. Solve 37 - 45 = -v*c for c. 2 Suppose -5*x = -2*c + 9, -3*c + 4*x = -21 - 3. Let j(o) = -c - 7*o - 1 + o**2 + 4 + 1. Let p be j(8). Solve k - 1 = -p for k. 1 Let t(a) = -3*a**3 + 8*a**2 - 4*a + 8. Let d be t(3). Let g = 18 + d. Solve -4 = -g*f + 3*f for f. 2 Let l = -8 - -10. Suppose g - 4*v = 6*g + 183, 0 = 5*g - l*v + 171. Let t = 38 + g. Solve -5*w + 2*w + t = 0 for w. 1 Let j be 166 - (5 + 0/(-7)). Let y be (-14)/4*(-184)/j. Solve -12 + y = 8*m for m. -1 Let h = 19641 - 19527. Solve 14*w + 72 = h for w. 3 Suppose 2*z - 2*n - 472 - 104 = 0, 4*z - 1140 = -2*n. Let y = z + -284. Solve -9 = -y*r - 13 for r. -2 Let l be 38/6 - (-20)/30. Let z(r) = r**2 + 2*r - 57. Let q be z(l). Solve 3*c + 0*c = q for c. 2 Let j = 16 + -10. Suppose 5 + j = h. Let x = -10798 - -10803. Solve 4 = -x*t - h for t. -3 Let s = 86 + -82. Suppose -2*z + s*d - 4 = 0, -4*d = -5*d + 3. Suppose -a + 5*u = -20, z*a - 23 + 0 = u. Solve a*t = -7 - 18 for t. -5 Let x = -15 - -21. Let h(k) be the second derivative of -k**4/12 + 39*k**2/2 - 13*k - 18. Let m be h(x). Solve m = 4*f - 9 for f. 3 Let w(z) = z - 2. Let j be w(4). Suppose 143846*t = 144112*t - 1596. Solve 8*y + t = -j for y. -1 Let h = -6619 - -6635. Solve 0 = h*x + 3*x - 76 for x. 4 Let p = 392 + -390. Let x = 19 - 14. Suppose 0 = 4*s - 2*s + b + 2, 10 = 4*s - x*b. Solve -o + p - 3 = s for o. -1 Let g be (6 - 0) + 12/(-4)*2. Suppose g = 3*a, -4*x = -6*x + a. Solve x = 8*n + 16 - 8 for n. -1 Suppose 8 = 9*t - 172. Suppose -s = -5*s + t. Solve s*l = 19 + 6 for l. 5 Let p be ((-45)/(-35))/((-2)/70*-5). Solve -p*m - 30 = m for m. -3 Suppose -256*y = -259*y + 6, -5*k + 4*y = -22. Solve -35 + 59 = -k*l for l. -4 Let u = -27419 - -27439. Solve -55*o = -u*o - 140 for o. 4 Suppose 4*z = 3*b - 488, -2*b = -4*z + 6*z - 302. Let m = -142 + b. Solve m*w - 6*w = -24 for w. -3 Suppose -104*p + 107*p - 342 = 0. Suppose 3*t = -87 + p. Solve 3*y = -t - 3 for y. -4 Let b(s) = -2*s**3 + 4*s**2 + s - 1. Suppose -4*i + 2*n + 0*n = 12, 13 = -i + 3*n. Let j be b(i). Suppose -j*m + 4 + 8 = 0. Solve -4 = m*q + 11 for q. -5 Let o be -3 + ((-2)/(-6))/((-41)/(-1599)). Solve -5 + 35 = -o*l for l. -3 Let l = 56 - 47. Let q = 42 - 31. Solve -q*b = -l*b for b. 0 Suppose 30*u - 25*u - 4*x = 7, -x = 4*u - 35. Solve 5*w - u = -17 for w. -2 Suppose 0 = 4*p - z - 288, -2*p + 4*z - 381 = -7*p. Let t = p + -69. Suppose -k - 7 = -t*d - 5, 3*k - 3*d = 3. Solve 5*g - k - 8 = 0 for g. 2 Let o be 0/(-2) + -1 + 0. Suppose -300 = -82*v + 22*v. Let s = v + o. Solve -4 = -s*f - 0*f for f. 1 Suppose 182*l = 183*l - 14. Let f be (l + -14)/(1/(-2)*2). Solve f = -51*r + 47*r + 4 for r. 1 Let v(a) = 2*a**2 - 5*a - 558. Let o be v(18). Solve -13*w + 11*w - 8 = o for w. -4 Suppose -98*g = -96*g - 10. Suppose -4*d - 2*f = -179 - g, 3*d - 145 = 2*f. Solve d*q + 15 = 42*q for q. -3 Suppose 2*b - 280 = -3*g - 2*g, 112 = 2*g - 4*b. Solve 7*x + 14 = g for x. 6 Let y = 4 - 1. Let s = -11 + 17. Suppose 96*x = -53*x. Solve y*c + s = -x*c for c. -2 Suppose -3*r - 5*z = -75, -3*r - 2*z + 48 = -18. Suppose -709*n = -475*n - 1170. Solve r - n = 5*d for d. 3 Let z(f) = -f**3 - 5*f**2 - 6*f + 2. Let i be z(-3). Suppose -c - 22 = 4*o, i*o = -5*c - 3*o - 65. Let k be 0*2/c + 5. Solve 0*w = k*w for w. 0 Suppose -2*l - 4*t = -18, 3*l + 3 = -2*t + 6*t. Suppose l*m + 3*y - 29 = 2*y, 5 = -5*y. Solve 0 = 4*r - 2*r - m for r. 5 Suppose l = -1, i - 6*i - 91 = l. Let n = -12 - i. Suppose -n*z = -9*z + 15. Solve -3*s = -7 - z for s. 4 Suppose 990 = -247*p + 280*p. Solve 3*y = -3*y - p for y. -5 Let k(p) be the second derivative of p**4/12 + p**3 - 5*p**2/2 + 87*p. Let y be k(1). Let s(v) = v**2 - 5*v + 3. Let b be s(6). Solve y*h - b = -h for h. 3 Let l(h) = -h**2 - 6*h + 3. Let c be l(-6). Let f be (-658)/112 - (14/(-16) - -1). Let v(g) = g**2 - 5*g - 58. Let a be v(f). Solve a*t = c*t + 5 for t. 1 Suppose 4*m = -152 + 472. Suppose m = 4*v - 4*c, -3*c + c + 45 = 3*v. Let h be v + 15/(-5) - 2. Solve -r = -5*r - h for r. -3 Let o = -85 - -95. Let g be (-1)/(14/(-108)) - o/(-35). Solve -g = 5*h - 3 for h. -1 Suppose n - 26 = 7*f - 10*f, 5*f + 5*n - 40 = 0. Solve -f*k - 102 + 48 = 0 for k. -6 Let x(p) = p**3 - 7*p**2 - 12*p + 21. Let w be x(9). Suppose 0 = 2*j + 3*j - w. Suppose -3*t = 3*d - j, 0*t - 20 = -2*t + 3*d. Solve t = 5*l - 3 for l. 2 Let c = -116 - -128. Suppose 4*x - 18*x + 56 = 0. Solve -g + x*g = -c for g. -4 Let f be (69/(-12) - -5) + 55/20. Suppose 5*s + 25 = -2*l, 5*s = -5*l + 6*l - 25. Let t = l + 0. Solve t*i = f*i for i. 0 Let y(w) = w**3 - 4*w**2 + 4*w - 6. Let n be y(4). Let k = -11 - -14. Suppose 0 = k*t + 6, -3*t = -s + 9. Solve s*v + 5 = -n for v. -5 Let v(d) be the first derivative of d**4/4 - 4*d**3 + d**2 - 14*d + 30. Let s be v(12). Let m(l) = l**2 - 3*l - 1. Let j be m(4). Solve -2*p + s = j*p for p. 2 Let v(w) = -w**3 + 16*w**2 - w + 2. Let l be v(16). Let y = l + 15. Suppose i = 3*j - 3, -j - y = -5*i + 12. Solve -2*m + i = -5*m for m. -1 Suppose -18*t + 12 = 3*c - 15*t, 0 = 3*c + t - 10. Suppose -2 = c*d - 5, 4*j - 3 = 5*d. Solve j*p - 40 + 44 = 0 for p. -2 Let x = 190 - -209. Let o = -399 + x. Solve o*w = -4*w - 12 for w. -3 Suppose 3*t + 63 = 3*x + x, -x - 4*t - 8 = 0. Suppose -2*m - 4*m + x = 0. Suppose -2*j = m*j. Solve 4*z - 13 + 5 = j for z. 2 Let i(o) = -o**3 + 4*o**2 + 4*o - 5. Let s be i(6). Let x = -53 - s. Solve -9*h + 12*h + 3 = x for h. -1 Suppose -1342 = 102*d - 11*d - 4072. Solve d*j - 4*j = -130 for j. -5 Let h(d) = -d**3 - 2*d**2 + 16*d + 11. Let p be h(-5). Let g be (-8 - 78/(-9)) + 14/p. Solve 7*i - 8*i = g for i. -3 Suppose -z - 1 = 0, -44 = 5*j + 4*z - 5. Let f be (j - (2 + -8))*-2. Solve -15*w - 2 = -f for w. 0 Let m(d) = -d + 6. Let p be m(3). Suppose 2*f - p*f + 5 = 0. Suppose -2*l = -f*j - 6, 3 = -2*j + 3*l - 2*l. Solve -r - r - 6 = j for r. -3 Let x(y) = 11*y - 9 + 7*y + y**2 + 32. Let h be x(-12). Let v = 52 + h. Solve v = -4*i - 1 for i. -1 Suppose -41*f + 19*f + 3740 = 0. Solve -i = f - 174 for i. 4 Let r = 15070 + -15070. Solve -73*l + 25*l - 144 = r for l. -3 Let s(o) = -12*o**3 + 48*o**2 + 2*o - 8. Let c be s(4). Solve 6507*w - 6516*w + 72 = c for w. 8 Suppose -34 = -2*m + 2*n, 61 = -4*n + 81. Solve -m*o = -82 - 50 for o. 6 Let d = -3550 - -3556. Solve 6*y = 4*y - d for y. -3 Let x be 4/(-2) - (-37)/((-185)/(-310)). Solve -5*t - 10*t + x = 0 for t. 4 Suppose -29*q + 10*q = 0. Suppose q = -2*o - 1 + 11. Solve -h + o*h = 16 for h. 4 Let v(m) = -2*m**2 - 22*m - 76. Let q be v(-20). Let p = q + 453. Solve p*l - 8 = 13*l for l. 2 Let h = -911 - -1325. Suppose -418*t + 20 = -h*t. Suppose -2*r + 4*o + 1 = -1, 0 = 4*o. Solve -r = -2*f - t for f. -2 Let p be ((-837)/248 + (-3)/(-8))*-7. Solve -p*l - 271 + 250 = 0 for l. -1 Let h(r) = 2*r**2 - 39*r + 21. Let c be h(19). Let y(m) = -2582*m - m**c + 2582*m + 4. Let u be y(2). Solve 1 = -o - u*o for o. -1 Suppose 2*u + 66 = -a + 2*a, 0 = 2*u - 4. Let s = -63 + a. Solve 2 = -m + s for m. 5 Suppose 7*w = 20*w - 702. Suppose 3*x = -5*f + w, -14*f = x - 9*f - 8. Solve x - 11 = -3*s for s. -4 Let v(y) = -y**2 - 7*y - 3. Let q be v(-6). Suppose m = q*l - 7, -l - 2*m = -m - 9. Suppose 2*f = -l*b + 26, -3*f - 3*b - 6 = -6*b. Solve -f*w + 15 = 2*w for w. 3 Let w(l) = -l**3 + 5*l**2 + 8*l - 9. Let p be w(6). Suppose -2*v = 4*b + 8, 3*v = 6*v + 4*b + 6. Let x be v - (5 + -11) - (-1 + 2). Solve x = p*a + 1 for a. 2 Suppose -142*m + 5690 = 42*m - 4982. Solve 9*a = m*a + 98 for a. -2 Let d = -441 - -632. Let i be d/9 - (-32)/(-144). Let g = i + -18. Solve 6 = g*n - n for n. 3 Suppose 28 = -3*b + 31. Let l be 1 + -2*(-6)/4*b. Solve -4 - 16 = l*m for m. -5 Let r be ((-6)/(-9))/(206/22557). Solve -354 = r*o + 230 for o. -8 Let h be ((-8)/(-14))/((-12)/(-42)). Suppose -h*t = -65 + 25. Suppose t = 5*y - m, -y + m - 20 = -4*m. Solve 7 = y*p + 2 for p. 1 Let b be (-20)/(-12)*3/(-20)*-8. Suppose 3*x - 2*a = 9 + 4, -5*x = -b*a - 23. Solve -7 = -x*j - 22 fo
{ "pile_set_name": "DM Mathematics" }
/d)/d*d/d**(-2))**(1/84) assuming d is positive. d**(5/84) Simplify (r**(5/6)*r**(-8))/(r*r**(-2/3)*r*r)**11 assuming r is positive. r**(-197/6) Simplify (l**1*l)**43/(l*l*l**(-1)*l*l**(-2)) assuming l is positive. l**86 Simplify (y*y*y**2)**29 assuming y is positive. y**116 Simplify (w*(w*w**8)/w)**17 assuming w is positive. w**153 Simplify ((j/j**0*j)**(-1/18))**(-2/99) assuming j is positive. j**(2/891) Simplify l**(-18)*l**25 assuming l is positive. l**7 Simplify g/((g*g**(-19/2))/g)*g**(1/9) assuming g is positive. g**(191/18) Simplify u**(-21)/u*u*u**(1/10) assuming u is positive. u**(-209/10) Simplify (h**(-24))**43 assuming h is positive. h**(-1032) Simplify u*u**2*u**(1/9)/u*u*u**(-6)*(u/u**(-3/5))/u assuming u is positive. u**(-103/45) Simplify (z*z*(z*z/(z**18/z)*z)/z*z*z*z/z**1)**(1/5) assuming z is positive. z**(-11/5) Simplify ((p/(p**18/p*p))/p**19)**(-19) assuming p is positive. p**684 Simplify (f*f/(f*f**(-1/10)*f)*f*f/(f*f*f**(-2/3)))**10 assuming f is positive. f**(23/3) Simplify (q/q**9*q*q**(-7)*q)**(-48) assuming q is positive. q**624 Simplify (y**(-2/5)/y*y*y/y**(-1))/(y*y**0*y*y*y)**37 assuming y is positive. y**(-732/5) Simplify (g/(g/g**(-1/3)))**50 assuming g is positive. g**(-50/3) Simplify ((m/(m*m**0)*m)/m)/m**(-1/4) assuming m is positive. m**(1/4) Simplify (v**(-8)/v)**(-18) assuming v is positive. v**162 Simplify (x/(x/(x/((x*x**(2/3))/x)))*x**(-6)*x)**(2/55) assuming x is positive. x**(-28/165) Simplify ((m*m*m/(m/(m*m/m**(-1/3))))**4)**(2/23) assuming m is positive. m**(104/69) Simplify ((i/(i/(i**(2/15)/i)))/i)/((i*i**(-2/3)/i)/i)*i**5/i**11 assuming i is positive. i**(-31/5) Simplify ((g/g**(1/2))/(g**(-2/3)*g))**(1/38) assuming g is positive. g**(1/228) Simplify (m**(-3/10)*m/(m*m**(-1/3)))/(m**2/(m/(m/m**(1/8)))) assuming m is positive. m**(-221/120) Simplify ((h**(-7)/h)/(((h/((h*h**(-2/9))/h*h))/h)/h))**(-3/19) assuming h is positive. h**(56/57) Simplify ((f/(f*f/(f/f**(1/5))*f))/(((f*f**(-1/8))/f)/f))**(-8) assuming f is positive. f**(3/5) Simplify ((f/(((((f/f**(1/3))/f*f)/f)/f)/f*f)*f)/(f/f**14))**(-35) assuming f is positive. f**(-1715/3) Simplify x*x**(-1/15)*x**(-7/8)/x assuming x is positive. x**(-113/120) Simplify ((k**(2/7)/k*k)/k)/k**11 assuming k is positive. k**(-82/7) Simplify ((j*j/j**(-5))/j**11)**33 assuming j is positive. j**(-132) Simplify (l**(2/35))**(-48) assuming l is positive. l**(-96/35) Simplify (g*g/g**(4/13))**(-50) assuming g is positive. g**(-1100/13) Simplify ((v*v/(v*((v/v**10)/v)/v))/(v*(v/(v**5/v))/v))/((v**(1/7)*v)/(v/(v**4/v*v))) assuming v is positive. v**(76/7) Simplify (l/(l*l**6)*l*l*l/(l*l/l**(-1)))/(l*l*l*(l/l**(3/7))/l*l*l/(l/(l*l**(3/4)))) assuming l is positive. l**(-317/28) Simplify ((r*r**(-1/4))**(-2/27))**(-10/13) assuming r is positive. r**(5/117) Simplify h/h**(7/4)*h**0 assuming h is positive. h**(-3/4) Simplify ((a*a*a**(-1))/a)**(1/15)/(a*a*a*((a*a/(a/a**6)*a)/a)/a*a*a*a**(-6)) assuming a is positive. a**(-5) Simplify (z**(4/7)/z)/z**(10/7) assuming z is positive. z**(-13/7) Simplify (((w*w/w**1)/w)/w*w*w*(w**(-2/11)/w)/w)**37 assuming w is positive. w**(-481/11) Simplify n*n**5*n**3*(n**1)**42 assuming n is positive. n**51 Simplify (u*u*u/(u*u/(u/u**(-1/4))))**49 assuming u is positive. u**(441/4) Simplify ((o/(o**(2/3)/o))/(o**(-2/9)/o))/(o/(o/(o/(o*o*o**(1/4)))))**(-2/27) assuming o is positive. o**(133/54) Simplify (t**(4/3)/t**(-2/27))**(-2/11) assuming t is positive. t**(-76/297) Simplify (j/(j*j/j**(-2/7)*j*j))**(-13)*j**(-10)/(j/j**(-4/7)) assuming j is positive. j**(218/7) Simplify q**(-3/13)*q**(-9/4) assuming q is positive. q**(-129/52) Simplify (s*s/(s*s/s**(-47)*s))/s*s**(1/6) assuming s is positive. s**(-293/6) Simplify ((l/(l**6*l)*l)**(-1/30))**(-1/12) assuming l is positive. l**(-1/72) Simplify (o*o**(-8/9)*o**(-3/19))**(-3/22) assuming o is positive. o**(4/627) Simplify (v**(-2/7))**(3/5) assuming v is positive. v**(-6/35) Simplify ((x/x**2)/x*x*x)**(-1/22) assuming x is positive. 1 Simplify (h**1)**(-3/20)*((h*h**8)/h)/(h/h**3) assuming h is positive. h**(197/20) Simplify ((o**(-7)*o)/(o**(-1/3)*o))/(o**1)**(38/7) assuming o is positive. o**(-254/21) Simplify (d/d**(-12/7))**(1/25) assuming d is positive. d**(19/175) Simplify ((m/m**0)/(m*m**(-2)/m))**(-36) assuming m is positive. m**(-108) Simplify ((i**(2/19)/i)/(((i*i**4*i)/i)/i))/((i*i**(-8)/i)/i*i**(2/13)) assuming i is positive. i**(976/247) Simplify (q**(-1)*q**4*q)**(5/13) assuming q is positive. q**(20/13) Simplify (b*(b*b/((b**7/b)/b))/b)/(b*b/b**12*b) assuming b is positive. b**6 Simplify w**6/(w/(w/(w*w**3)))*(w**(2/5))**38 assuming w is positive. w**(86/5) Simplify (n/n**(1/15))/n**(4/9) assuming n is positive. n**(22/45) Simplify n**(3/8)*n*n*n*n**(2/31)*n*(n**0*n)/n**(2/7) assuming n is positive. n**(8947/1736) Simplify (((w**4/w)/w)**4)**(-21/8) assuming w is positive. w**(-21) Simplify f**(-21)*f*f**18 assuming f is positive. f**(-2) Simplify (k*k**(-1/14)*k)/k**(-1)*k**(-1)/k**(-7) assuming k is positive. k**(125/14) Simplify o**14/(o/(o/((o/((o**(-2/7)/o*o)/o)*o)/o))) assuming o is positive. o**(82/7) Simplify (p*(p/p**(4/5))/p*p*p*p**(-13))**(-50) assuming p is positive. p**540 Simplify (k*k**(-12)*k*k)/(k*k*k*(k/(k*k**(-2/7)))/k) assuming k is positive. k**(-79/7) Simplify (h**(-1/3))**49/(h*h*(h/(h/(h/((h/h**(-1/4))/h*h)))*h)/h*h*h*h*h)**(1/16) assuming h is positive. h**(-3205/192) Simplify s*s**(-8)*s*s**(-6)*s**(3/4)*s/s**(2/7)*s assuming s is positive. s**(-267/28) Simplify s**(1/24)*s**(-15) assuming s is positive. s**(-359/24) Simplify (z/(z*z**(-1)*z))**49 assuming z is positive. 1 Simplify ((p*(p/p**(3/4)*p)/p)**(-16/11))**(18/13) assuming p is positive. p**(-360/143) Simplify (l/(l**(-1/24)*l)*l)**40 assuming l is positive. l**(125/3) Simplify ((u*u**(2/9))**(-9/8))**(-14/5) assuming u is positive. u**(77/20) Simplify ((q/q**(-1/4)*q)/q)**3*q/(q**2*q)*q*q**(-1/4) assuming q is positive. q**(5/2) Simplify k**3*k*k*k**(-7)*k*k*(k**(-2/5))**10 assuming k is positive. k**(-4) Simplify (r/r**(-2/3)*r**(5/6))**(-5/6) assuming r is positive. r**(-25/12) Simplify (i**(-9)/i)**(-10) assuming i is positive. i**100 Simplify (a/(a*(a/a**(7/4))/a*a))/(a**(-3)/a) assuming a is positive. a**(19/4) Simplify ((w**(-3/7)*w*w*w)/w**3)**(2/83) assuming w is positive. w**(-6/581) Simplify ((l*l**(-1/3))/l)**1/(((l/(l/(l*l**(-10)))*l)/l)/(l/((l/((l/(l*l*l**(-1/5)*l*l))/l))/l)*l)) assuming l is positive. l**(103/15) Simplify m**(9/5)*m**0*(m**0)**7 assuming m is positive. m**(9/5) Simplify (f**(1/3)*f)**(3/20)/((((f**1*f)/f)/f*f)/f)**(-5/12) assuming f is positive. f**(1/5) Simplify (h/(h**0/h)*h)**(-16)*(h**(2/3)*h)**(-35) assuming h is positive. h**(-319/3) Simplify (q*q*q/(q*q**(-3/5))*q)/q**(-4)*q**(3/2)/(q*q*q**(-4)/q) assuming q is positive. q**(121/10) Simplify x**(-2/5)/(x*x*x**1)*x**(-6)/(x*x**(-4/5)*x) assuming x is positive. x**(-53/5) Simplify o*o*o**(-13)*o*o/(o**(6/7)*o) assuming o is positive. o**(-76/7) Simplify b*b*(b**(5/4)/b)/b*b/b**15*b assuming b is positive. b**(-47/4) Simplify (q*(q/q**(-1/5)*q)/q)**27 assuming q is positive. q**(297/5) Simplify x**32/(x*x*x**(-18)) assuming x is positive. x**48 Simplify (h**(-7)*h**(-1/9))/(h**(-3)*(h/h**(-2/7)*h)/h*h) assuming h is positive. h**(-403/63) Simplify m**(9/4)*m*m*m/(m**13/m) assuming m is positive. m**(-27/4) Simplify l**17*l*l**(-19/2)*l assuming l is positive. l**(19/2) Simplify (y**(1/4)/(y*y/(y*y/y**(-6))*y*y))/((y/y**(-2))/y**(-2/15)) assuming y is positive. y**(67/60) Simplify (i**(2/5))**(-6/7) assuming i is positive. i**(-12/35) Simplify (g**(-7)*g)**(-8) assuming g is positive. g**48 Simplify (x**(-8/3)/(x*x**(-1/4)))**(14/3) assuming x is positive. x**(-287/18) Simplify ((n**(3/7)/n)/n)**(-43/4) assuming n is positive. n**(473/28) Simplify o**6/(o**4*o)*(o**1)**(2/23) assuming o is positive. o**(25/23) Simplify (i*i/((i*i**(3/10)*i)/i*i))**(-20) assuming i is positive. i**6 Simplify (((x*x*x**(4/3)*x)/x)/((x/(x*x/x**(-6)*x))/x*x))**(-4/17) assuming x is positive. x**(-8/3) Simplify (g**(-2))**(-33)/(g**(-4)*g**(2/15)) assuming g is positive. g**(1048/15) Simplify (q/(q*q**0/q))**(1/3)/((q*q**0*q)/q**(-3)) assuming q is positive. q**(-14/3) Simplify (w**(2/3))**39*w**(2/15)*w**4 assuming w
{ "pile_set_name": "DM Mathematics" }
0) Simplify (((l**0)**(2/51)/(l**0)**(6/5))**(-1/3))**(7/4) assuming l is positive. 1 Simplify (y**(12/11)/(y*y**(-12))*(y/y**(-8))**(-6/7))**(-4/15) assuming y is positive. y**(-1348/1155) Simplify ((((n**(-1/4)/n)/n)/(n*n**(2/3)))/(n**(-3/2)/(n*(n**1/n)/n)))/((n**(2/7))**11*n**(1/3)/(n/n**0)) assuming n is positive. n**(-137/28) Simplify (o**(2/15)*o*(o/(o/(o**(-2/17)/o*o*o*o))*o*o)/o)**(12/11)*((o/((o*o**(2/9))/o))/(o*o**2*o*o*o))**(-1/2) assuming o is positive. o**(117673/16830) Simplify o/o**7*o**33*o*o**(-17)*o*o**(-28) assuming o is positive. o**(-16) Simplify (w/(w/w**(1/3)*w)*w/(w**(-2/7)/w))/(w*w/(w*w**(1/2)))**(-11/5)*(w**1)**2/(((w/((w/w**(-2/7))/w))/w)/w**(-3)) assuming w is positive. w**(421/210) Simplify (m**3/m**(-3))/((m/(m/(((((((m*m**(1/3)/m)/m)/m)/m)/m)/m)/m*m)))/m)**(-45)*(m*m**1)**(-13)*(m/m**(-2/5))**26 assuming m is positive. m**(-1193/5) Simplify (((w**6*w*w**(-5))**(-45))**41)**37 assuming w is positive. w**(-136530) Simplify ((j*j**(-3/4)*j**1)/((j*j**(2/15)/j)/(j/j**(3/8))))/(((j/(j/(j*j**(-2/13)*j)))/j)/j**1*((j/j**(-1/2))/j)**33) assuming j is positive. j**(-22783/1560) Simplify (c**(3/4)/(c/c**5))/(c**(2/7))**(-1/3)*((c*c**0*c)/c*c)**(-50)/(c**(-1/2))**(-20) assuming c is positive. c**(-8833/84) Simplify ((((d**6*d)/d)/(d/(d/d**(3/5))))/((d**1*d)/d*d*d/(d**(-4)/d)))/((d**(-1/2))**(-14))**(12/13) assuming d is positive. d**(-589/65) Simplify ((w**21*w)/w*w/(w*w*w**(-9/8)*w*w))/((w**(-19)/w*w)/w)**(-3) assuming w is positive. w**(-327/8) Simplify (o**(-11/4)/(o**(-23)/o*o)*(o**(-13))**(2/21))**(-7/4) assuming o is positive. o**(-1597/48) Simplify ((j**(-1)*j*j)**50/(j*j**(-1/5)/j*j*j**(-3)))/((j*j**(2/19))/(j*j**(3/5))*j**7/((j*(j/j**(-1/5))/j*j)/j)) assuming j is positive. j**(891/19) Simplify (k**(-1)*k*k**4/k*(k**(1/4)*k)**2)/((k**(1/4)/k)/k**(-4)*(k*k/k**(-1)*k)**42) assuming k is positive. k**(-663/4) Simplify ((z**0*z)**(-2))**30*((z/z**(-2/3))/(z/z**(2/7)))/(((z**2/z)/z)/z*z**(1/4)) assuming z is positive. z**(-4897/84) Simplify (p**4/(p/p**(1/2)))/(p*p**0*p)**22*(p**(-2/5))**(-14)/(p**5*p**(-2/17)*p) assuming p is positive. p**(-6933/170) Simplify s*s**(-4/17)/s*s*s/(s**(-14)/s)*s**(1/13)*s*s*(s/(s*s**(7/12)/s))/s*s assuming s is positive. s**(51073/2652) Simplify ((t**(3/7)*t*t)/(t**(-3/2)*t))**(2/95)/((t**0*t)**(-42)/(t**(1/2)/t**6)) assuming t is positive. t**(48627/1330) Simplify (y**(-6)*y*y**3*y/(y**(-14)/y)*y*y/y**(-1)*y)**(-1/3) assuming y is positive. y**(-6) Simplify ((j*j/(j**(-10/9)/j))/j)**(-35)/(j*j/(j/j**14))**29 assuming j is positive. j**(-4895/9) Simplify ((l**(1/9)/l**(1/10))/(l**(1/2))**(4/5))/((l*l*l**(1/3))**(-43)/((l*l**(-2/7))/l)**(3/17)) assuming l is positive. l**(213973/2142) Simplify ((x**29*x*x/x**(-35))/((x/(x**(9/5)*x*x))/x)**(-15))**(-18/11) assuming x is positive. x**(-162/11) Simplify k**(-2)/k**6*k**(-6)*k**3*(k**2/(((k*k*k**(2/9))/k)/k))/(k**(-1))**23 assuming k is positive. k**(124/9) Simplify ((d**(-1))**(-1/4)/(d/d**(-1/3)*d)**(-1/5))/((d*d**(-2/7)/d*d)**47*(d**(-4/9)*d*d)/d**(1/2)) assuming d is positive. d**(-42727/1260) Simplify ((w**(-1)*w)**(-22))**(-46)/(((w**(-1/2)/w)/w)/(w*((w/w**5)/w*w*w)/w)*(w**(-5)/w)/w*w/((w/w**(-4/3))/w)) assuming w is positive. w**(41/6) Simplify ((d/(d*d**(2/23)))/(d**(1/4)/d))**(-2/7)/((d*(d/(d/(d/(d/(((d/(d*d/(d*d**0)*d))/d)/d)*d))))/d*d)**(-6/13))**(26/7) assuming d is positive. d**(-1717/322) Simplify ((r**1/(r**(1/3)/r))/(r**(2/7)*r*r/(r/((r*r**(-4))/r))))/(r**(-5/4)/r*r**(-3/2)*r*r)**(-13/2) assuming r is positive. r**(-1175/168) Simplify ((d/(d*d**4))**17)**(-14/3)*(d**(-6)/(d*(d**(-1/4)*d*d)/d))/((d*d*(d**(-4)*d*d)/d)/((d/(d**(3/13)*d*d))/d)) assuming d is positive. d**(48103/156) Simplify (b*((b/(b/b**(4/9)))/b)/b*b**(-1)/b*b*b)**(-26/5)/(b**(-2/9)*b/(b**(-3)/b)*(b*b/b**(2/7)*b*b*b)**(8/11)) assuming b is positive. b**(-335/63) Simplify (i*i**(2/7))**38/((i/(i*i*i*i**(-4)*i*i*i))/(i**6/i))*(((i*i**0)/i*i)/(i**(2/25)/i))/(i**(2/5)/(i*(i/((i*i**8*i)/i))/i)) assuming i is positive. i**(8466/175) Simplify (j/(j/j**(-1/4))*j**(-4))**(1/28)*(j*j**5*j*j*j*j**3*j)/((j*j**2)/(j**(-2/15)/j)) assuming j is positive. j**(14641/1680) Simplify ((l**(-6))**(-2/25)*(l/l**(-14)*l)/l**(8/5))**(-27) assuming l is positive. l**(-10044/25) Simplify ((((d/d**3)**41)**(-26))**(-2))**26 assuming d is positive. d**(-110864) Simplify ((f**(-33)*f**(11/6)/f)/((f/((f*f**(-14))/f))/f**18))**9 assuming f is positive. f**(-525/2) Simplify (r**(-2/7))**45/((r**4/r)/r*r/((r*r**8*r)/r))*(r**(3/7)*r**(-3))/((r/(r/r**(1/11))*r)/r*r**(-3)) assuming r is positive. r**(-502/77) Simplify (((q*q**(-3)*q)**29*(q/(q/(q**(-6)*q)))/(q**(2/31)*q))**8)**(-16) assuming q is positive. q**(139136/31) Simplify ((k/k**(-7/5))/((k**(1/3)*k)/k)*(k**(-1)*k)**(2/5))/(k*k/k**(1/7)*k*k/(k*k/k**0)*(k*k**1*k*k)**4) assuming k is positive. k**(-1658/105) Simplify (b**(1/11)*b**(4/3)*b*(b**(1/4))**(-46))/((b**0)**(-28))**32 assuming b is positive. b**(-599/66) Simplify ((s/(s/(s/s**(13/4))))/(s/(s/s**(-16/5)))*(s/(s/(s*s**(-2)/s))*s*s)/(((s**22/s)/s)/s))**(22/3) assuming s is positive. s**(-3971/30) Simplify (a**(-28))**(2/113)*a**23/a*a**(-8/3)*a assuming a is positive. a**(6725/339) Simplify ((z/z**0)/z**6*(z*z**(-1)/z*z*z*z)**(7/4))/((z**(-1/4))**(-30))**9 assuming z is positive. z**(-69) Simplify (n**(-26)/(n**(22/5)*n)*(n**(1/5)/n*n)**(44/5))**(6/5) assuming n is positive. n**(-4446/125) Simplify ((((y*y**0*y*y*y)/y*y)/y)**(1/46)*(y/y**(2/3))**39)/((y**(-1/4))**(31/4)/(y*y**(3/7)*y*(y**2/y)/y*y)) assuming y is positive. y**(47479/2576) Simplify m*m**(1/9)*(m*m**(20/7))/m*m*m*(m*m/m**(-27/4))/m**(-15/4) assuming m is positive. m**(2327/126) Simplify ((z*z**1/z*z*z)/z*z*z)**(-5)*z**(5/4)*z**(-5)*z/(z/(z/(z/z**6)))*(z*z*z/((z*z**(-5))/z*z))/z*z*z*(z/z**1)**(-8/5) assuming z is positive. z**(-39/4) Simplify (i*i*((i/(i*(i**(2/85)/i)/i*i*i))/i)/i*i*i**15/i)/(i**28/((i*i**0)/i)) assuming i is positive. i**(-1107/85) Simplify ((n**(-1/4)*n**(2/13))/(n**(4/9)*n**5))/(n**(-1/4)*n/((((n*n**(-5))/n*n)/n)/n)*n*(n**(-1/4)/n)**(-2/11)) assuming n is positive. n**(-34795/2574) Simplify ((g/g**(-8))/g*g**(2/15)*g*g)**(3/14)/((g**(1/4)/g)**(-40)*(g*g/(g/(g*(g*g**(1/4))/g))*g*g)/(g/g**(-7))) assuming g is positive. g**(-3371/140) Simplify (f/(f*f**(-6/5)))/(f**(-2/11)/f)*f**(-3)*f**(5/4)*(f**(2/15)*f*f/(f/(f*f/(f/(f*f*f**(-7/5)/f)))*f))**12 assuming f is positive. f**(415/44) Simplify (((f/(f/f**2*f))/f*f)**5*(f*f*f**(3/2))/f*f*f**(1/3))/((f**(-6/11)*f**8)/(f/f**0)**(1/12)) assuming f is positive. f**(193/132) Simplify (((((i**14*i*i)/i)/i*i)/i*i/((i*i**(-2/11))/i))/((i*i**(-5))/i*i*i*i)**(-37))**39 assuming i is positive. i**(-25233/11) Simplify (n**(-2/5)/n*n**(-3/5))**(-1/12)*((n*((n**(2/5)*n)/n)/n)**(-1/2))**(21/8) assuming n is positive. n**(-43/120) Simplify ((d**(-5/3)/d)**45*d**(-26)*d*d/((d**9/d)/d))**(10/9) assuming d is positive. d**(-1510/9) Simplify ((n*n/(n**(2/7)/n)*n)/n)**14*(n**0)**(3/7)*(n/n**1)**(1/66)/(n/((n*n**(-1))/n)*n)**(-5/2) assuming n is positive. n**(91/2) Simplify ((w**(-1/2))**(-17)*w**(-4)*w*w*w/w**3)/((w*(w*w**0)/w*w*w*w/w**2)/((w**(-1/4)/w)/((w*w/(w/(w*w/(w**(-4)/w)*w*w))*w)/w))) assuming w is positive. w**(-35/4) Simplify (o**3/(o/(o**6*o*o))*o*o**3*o*o*((o*o**0*o)/o)/o*o)/((o*o**(-4/3)*o)/((o*o/(o**(-2/11)/o))/o*o))**(-1/16) assuming o is positive. o**(8893/528) Simplify (t*t**(-2/11)*t*t/(t/((t*t/(t/(t/(t*t**(-4)*t))))/t)))**(-23)*(t**(1/8)/t**(-2/15))/((t*t**(1/2))/t**(-4)) assuming t is positive. t**(-153199/1320) Simplify ((o/(o*((o*o*o**5/o*o*o*o)/o)/o))/o**3*((o*o*o/o**(-6))/o*o)/o**6)/(o*(o**0*o)/o*o*o*o*o*o**(-2/15))**(4/7) assuming o is positive. o**(-1027/105) Simplify (v**(-1))**(-24)*v**(-5)*v*v/((v/(v**(-2/21)/v))/v)*((v**(-1/3))**(19/2))**6 assuming v is positive. v**(19/21) Simplify ((((j/j**(-1/19))/j)/j*j*j)/(j/(j**(-11/3)*j*j)))/(j**(-10/9)*((j/(j/j**(19/2)))/j)/j) assuming j is positive. j**(-2737/342) Simplify ((b**1)**38)**(-1/39)/(b**3/((((b*b*b**(-1/6))/b)/b)/b))**(8/13) assuming b is positive. b**(-46/13) Simplify ((v*v**(-2))/((v/(v*v/v**13))/v))**(-1/61)*((v*v**(-2/3)*v)/(v/v**(-4/3)*v))**(-41) assuming v is positive. v**(5014/61) Simplify ((h**(-1)*h*h/h**(-1))/((h**(-2/7)*h*h*h*h)/h**(-2/3)))/((h*h/h**3)/h**(1/2)*(h**1)**(-17/6)) assum
{ "pile_set_name": "DM Mathematics" }
the nearest one hundred? -800 Let h(u) = u**3 - 6*u - 5. Let t(g) = -g**2 - 1. Let s(x) = -h(x) + 3*t(x). Let b be s(-4). Let c(d) = 3*d + 22. Let o be c(b). Round o to the nearest 10. 0 Let x = -1 + 4. Let r be (9/(-4))/((-22414)/2800 - -8). Suppose 0*o = -x*o + r. Round o to the nearest 10. 150 Let h = -12179281575340659 + 12179281631717150.30000021. Let g = 56376491 - h. Let a = 0.3 + g. What is a rounded to 7 dps? -0.0000002 Let u = 1358249587.0000081 + -1358249454. Let k = u + -133. What is k rounded to 6 decimal places? 0.000008 Let j = 7838.2713 - 827.7223. Let m = -7023 + j. Let d = 12.4 + m. What is d rounded to two dps? -0.05 Let t = 0.0741 - 0.02311. Round t to three dps. 0.051 Let k(f) = -f**2 + 5*f + 16. Let a be k(7). Suppose -a*s = 4*j - s - 397, 406 = 4*j - 2*s. Round j to the nearest 100. 100 Let q = -38 + 81. Let d = 10338.27011918 - 10295.27012. Let a = d - q. Round a to seven decimal places. -0.0000008 Let l = -1.5 - -9.7. Let c = -0.2 + l. Let m = -7.999 + c. Round m to four decimal places. 0.001 Let n = -12.98759 + 12.855. Let c = n + 0.132. What is c rounded to 4 decimal places? -0.0006 Let i = -465391110.3 + 465390582.2999158. Let y = i - -528. What is y rounded to 5 dps? -0.00008 Let a = 255.6055 + -249.51. Let f = a - 6.1. What is f rounded to 3 decimal places? -0.005 Suppose -4*a = -20, 0*a + a = -i - 6300. What is i rounded to the nearest 1000? -6000 Let z = 1.5845 - -11.283. Let v = -29.86818 + z. Let u = v - -17. Round u to 4 dps. -0.0007 Let m(k) = 7845*k + 10. Let u be m(2). Round u to the nearest 1000. 16000 Suppose -5*i = 2*i - 77105. Suppose i = 2*q + 2795. Round q to the nearest 1000. 4000 Let d = 2456.95 + -2302. Let r = -211 + d. Let z = -54 - r. Round z to 1 dp. 2.1 Let p = -34.00436 - -34. Round p to 4 decimal places. -0.0044 Suppose 1719996 = 2*q + 2*t, -4*t - t + 3439994 = 4*q. Suppose -4*m + i + i - q = 0, 3*m + 3*i = -645006. Round m to the nearest ten thousand. -220000 Let r = 3435 + -3434.9998451. What is r rounded to five dps? 0.00015 Let n = 1 + 3. Let x = 17 - n. Let l = x - 13.00000012. Round l to seven decimal places. -0.0000001 Let j be (2230/(-6))/((-28)/(-84)). Round j to the nearest 10. -1120 Let o = -8 + 11. Let w be (2/4)/(o/12). Let z be w*3/(-6) + -4. What is z rounded to the nearest 10? -10 Let g = -334968 - -334818.0456. Let o = 150 + g. What is o rounded to 3 decimal places? 0.046 Let j = 1093.999334 + -1094. Round j to 4 dps. -0.0007 Let o = -0.0313 - -0.1093. What is o rounded to three decimal places? 0.078 Let m = 77 + -76.34. Let i = m - -0.29. What is i rounded to 1 dp? 1 Let l = 1014.95 + -993. Let y = 22 - l. Round y to 1 dp. 0.1 Let t = 16.6265 + -0.1765. Round t to 1 decimal place. 16.5 Let h = -489 - -488.9706. Round h to three dps. -0.029 Let c = -15.7 + 15.700005. What is c rounded to five decimal places? 0.00001 Let f = -4026851.00189 + 4026644. Let c = 2.3 + 204.7. Let q = c + f. What is q rounded to 4 decimal places? -0.0019 Let u = -28 - -30.4. Let x = 86.5 + -89. Let c = u + x. What is c rounded to zero dps? 0 Let u = -0.570086 + -6.4299115. Let q = 7 + u. What is q rounded to six decimal places? 0.000003 Let x = -1437 - -1437.07625. Round x to 3 decimal places. 0.076 Let p = 1858.19991959 + -1858.2. Round p to 6 dps. -0.00008 Let f = -62812.4061 - -62804. Let o = -8.4 - f. Round o to three dps. 0.006 Let v = 4 - 3.83. Let k = v - 0.1699994. What is k rounded to seven dps? 0.0000006 Let u = 0.58 - -284.02. Let l = u - 260. What is l rounded to zero dps? 25 Let r = 0.61 - 181.61. Let o = 180.99999903 + r. What is o rounded to 7 dps? -0.000001 Let h = 522.7 + -509. Let f = -13.2055 + -0.4686. Let y = f + h. Round y to three decimal places. 0.026 Suppose 0 = -3*s - 2*h, 0 = s + s - 5*h. Suppose 4*k - 116 - 24 = s. What is k rounded to the nearest ten? 40 Let j = -17899 - -11836. Round j to the nearest one hundred. -6100 Let t = 475 - 474.402. Round t to 1 decimal place. 0.6 Let l = 0.172562 - 0.246595. Let j = l + 0.074. What is j rounded to five decimal places? -0.00003 Let k = -32.55 + 7.1. Let p = -0.021 - 25.979. Let c = k - p. Round c to one dp. 0.6 Let f = 6 - 5. Let t be ((-2)/2)/(f/(-5)). Suppose 0 = 4*i + 2*c - c - 34000004, 2*c = -t*i + 42500008. Round i to the nearest one million. 9000000 Let k = 54.23 + -0.23. Let d = k + -53.9999902. Round d to six decimal places. 0.00001 Suppose -6*n + 5*c + 1340 = 0, 0 = -5*c - 22 + 2. Round n to the nearest ten. 220 Let p = 1052.7 - 992. Let j = p - 60.7000633. What is j rounded to five decimal places? -0.00006 Let o be (-8)/(-28) + 38/(-14)*-1. Suppose 275003 = 5*t - o*a, a - 127603 = -2*t - 17604. What is t rounded to the nearest 10000? 60000 Let g(q) be the third derivative of 13*q**5/5 + q**4/12 + 8*q**2. Let c be g(8). What is c rounded to the nearest 10000? 10000 Let v = -694.25802205 + 749.258024. Let i = 0.16 + -55.16. Let x = v + i. Round x to seven dps. 0.000002 Let x(p) = 2237999*p**3 + p**2 - 48*p + 48. Let c be x(1). Round c to the nearest one hundred thousand. 2200000 Let m = 95 - -38. Let i = -132.19 + m. What is i rounded to one decimal place? 0.8 Let b(o) = -o - 2. Let g be b(2). Let n be (8/(-6))/(g/6). Suppose -7*q - 5*p - 110 = -n*q, -2*q - 4*p = 40. What is q rounded to the nearest ten? -20 Let n = -0.893 - -57.593. Let f = -48 + n. Round f to the nearest integer. 9 Let f(p) = 189999*p**2 + 3*p. Let z be (1 + -4)/(12/(-8)). Let r be 3*(-4)/(-8)*z. Let n be f(r). What is n rounded to the nearest 100000? 1700000 Let l = 11.99 + -11.9901938. What is l rounded to five decimal places? -0.00019 Let r = -610.996951 - -611. What is r rounded to four decimal places? 0.003 Let w = 1389556.73 - 1389876.899705. Let a = 0.020295 - w. Let u = -322 + a. What is u rounded to 1 dp? -1.8 Let p = 5766.94723 - 5698.244. Let q = 68.7 - p. What is q rounded to 4 decimal places? -0.0032 Suppose -3*v - 9 - 8 = -5*p, -5*p = 3*v - 23. Suppose -4*s + 2610 + 197415 = -5*u, -p*s = -4*u - 200020. Round s to the nearest one hundred thousand. 100000 Let u = -2775925 - -4464707. Suppose 3*x + u = 13388782. What is x rounded to the nearest 100000? 3900000 Let g = -451 - -450.99999273. What is g rounded to 7 dps? -0.0000073 Suppose -5*m = -0 - 25. Suppose 3*c - 12 = 3. Suppose -5*f = m*n + 39500005, 2*n - c*f = -n - 23699995. Round n to the nearest 1000000. -8000000 Let l = 164546845506703 - 164546901910896.0000018. Let u = 56404212 + l. Let i = u - 19. What is i rounded to six decimal places? -0.000002 Let n = 60061.443224 - 60061. Let p = n - 0.52429. Let b = -0.081 - p. Round b to 5 decimal places. 0.00007 Let k = -0.33 - 0.43. Let q = k + -0.13. Round q to one dp. -0.9 Let x = -138.1 - -71.8. Round x to the nearest 10. -70 Let b = 207.18 - 212. Let k = 209.82 + b. Let u = k - 194.9. Round u to the nearest integer. 10 Let w = 3459 + -3473.63. Let y = w - 0.37. Let k = y + 15.0000018. Round k to six dps. 0.000002 Let s(n) = n**3 + n**2 + n + 9. Let z be s(0). Let j(l) = -l + 10. Let v be j(z). Let h be 26*v/(1 - -1). What is h rounded to the nearest ten? 10 Let n = -84.2 - -92. Let j = 127205741.1999967 - 127205749. Let w = n + j. What is w rounded to 6 decimal places? -0.000003 Suppose -7*h - 4*h = 440. Let g be (-8)/h - (-25449999)/5. Round g to the nearest one hundred thousand. 5100000 Let g(q) = 172500*q. Let p be g(-8). What is p rounded to the nearest one million? -1000000 Suppose 7*l = -y + 5*l - 725504, -4*l = 8. What is y rounded to the nearest 100000? -700000 Suppose 0*m = m - 25. Let t be (-16)/2*m/(-2). What is t rounded to the nearest 100? 100 Let y be 2/6 + ((-7410)/9)/(-5). Suppose 4*t + 656 = 2*j, 4*t - 3*t - j + y = 0. Round t to the nearest 10. -160 Let q = 142.885 - 137.2. Round q to one decimal place. 5.7 Suppose 4*r + 8 = 0, 26*b - r = 30*b + 30836002. What is b rounded to the nearest one million? -8000000 Suppose 5*k + d = -d + 15, -5*k + 25 = 4*d. Let f(s) = 160*s - 1. Let c be f(k). Let t be 4 - (c/1 - 3). Round t to the nearest 10. -150 Let c = -46439733.8000035 + 46439723. Let g = c + 10.8. Round g to 6 decimal places. -0.000004 Let c = -0.31 - 0.19. Let a = -3.7 + c. Let h = a + -8. What is h rounded to the nearest integer? -12 Suppose 6 - 11 = -u. Let i(a) = -a**2 + 5*a + 3. Let j be i(u). Suppose -
{ "pile_set_name": "DM Mathematics" }
imes 611.8 -143.58946 Multiply -0.4 and -0.15411898. 0.061647592 Work out 564166.75 * -2. -1128333.5 -2*-11534160 23068320 -0.5 times 334093 -167046.5 What is 0.1 times -688.056? -68.8056 What is the product of 35.6 and 4355.3? 155048.68 Product of -2 and -2078171. 4156342 -1 * 0.44965682 -0.44965682 What is 17243 times -17.2? -296579.6 951.9 times 0.6498 618.54462 Product of 4.1 and 6.9725. 28.58725 What is -8006 times 12570? -100635420 What is 23.06138 times 1.4? 32.285932 0.4 * -176057443 -70422977.2 -6815.725 times -39 265813.275 What is -1874430 times -3? 5623290 Calculate 3*-0.4246681. -1.2740043 What is the product of 3 and -126644408? -379933224 279367 * -34 -9498478 0.602*-9722 -5852.644 299*439904 131531296 What is the product of 760 and 8661? 6582360 Work out 2 * -144591204. -289182408 What is -14.9 times 62400? -929760 Multiply 304 and 13972. 4247488 Product of -2.2 and 895192. -1969422.4 Multiply -1732 and 7338. -12709416 What is the product of -37 and 1440.418? -53295.466 What is 6192722.9 times -4? -24770891.6 Multiply 16683.07 and 5. 83415.35 Calculate -4*25391263. -101565052 What is 9542 times 584? 5572528 What is -611 times -10973? 6704503 Multiply -24.3 and -10139. 246377.7 What is 15.9085 times -328? -5217.988 Product of -1183 and 5.092. -6023.836 Product of 2616.7 and -13078. -34221202.6 -1.333586052 times -0.5 0.666793026 What is 16.22099 times -0.191? -3.09820909 Multiply -0.046 and -280156. 12887.176 Work out -1538 * -51.8473. 79741.1474 Work out 1.4 * 2727.67. 3818.738 -244218222 times -0.1 24421822.2 What is the product of -1 and -18548855? 18548855 What is -1452651 times 357? -518596407 Work out 33 * 1386811. 45764763 -4.57027*0.236 -1.07858372 What is -110.4 times -2526? 278870.4 Calculate 2*-895446. -1790892 Calculate -0.1*15291847. -1529184.7 3 * -0.00513052 -0.01539156 Multiply 10062396.7 and 5. 50311983.5 3.14 times -1371.2 -4305.568 -1621 * -17022 27592662 -61.2*246647 -15094796.4 420525986 * -0.1 -42052598.6 Calculate 0.044*-0.86947. -0.03825668 -2.32904*-0.02 0.0465808 Multiply -1.539 and 0.3829. -0.5892831 What is -321393 times -2? 642786 Product of -184 and -64.51. 11869.84 -2.94 * -0.053528 0.15737232 Calculate 280051.28*-1. -280051.28 -36*826673.4 -29760242.4 Work out -4 * 15.874926. -63.499704 Product of 3782.7746 and 0.02. 75.655492 What is the product of 1429218 and -249? -355875282 What is the product of 0.18 and -9.07939? -1.6342902 -5 * -2600136 13000680 -0.366838*-0.1 0.0366838 Multiply -56074 and -177. 9925098 -561151 * -1.3 729496.3 43 * -73.44 -3157.92 What is 14.2 times 3.331632? 47.3091744 -5.07492 times -0.03 0.1522476 Work out -21 * -2651002. 55671042 0.1*-25979687 -2597968.7 Product of -88872685 and -1. 88872685 218491 * -39 -8521149 What is the product of 4999304 and 2? 9998608 What is 80244 times 311? 24955884 Work out 11944992 * 4. 47779968 136 * -4313.2 -586595.2 Product of 0.04057 and -1.814. -0.07359398 Work out 84655 * -198. -16761690 What is -1.06 times -640? 678.4 Product of -1.287 and -0.8585. 1.1048895 2025 times -258584 -523632600 Product of -0.979021 and -0.25. 0.24475525 Product of 56136 and -319.4. -17929838.4 Work out 1197 * 40.14. 48047.58 Work out 0.5 * 68649. 34324.5 0.18095057 times 0.1 0.018095057 7900685.4 times -3 -23702056.2 What is the product of -1 and 18.0975? -18.0975 Multiply -2.34 and -21.9058. 51.259572 4046655 times 116 469411980 -613.2 * -370 226884 -1289*125230 -161421470 Work out 4 * -121.0364. -484.1456 452814383 * 0.3 135844314.9 -398*-20325 8089350 0.367 times -926 -339.842 -846.7*46.8 -39625.56 -8.59 * 413756 -3554164.04 Work out -5 * 510496. -2552480 Work out 0.58323 * -386. -225.12678 Multiply -276829 and 7. -1937803 Calculate 0.5879228*-1.39. -0.817212692 35 * -74521 -2608235 0.164 * -1059490 -173756.36 1313 times -3573.9 -4692530.7 -0.6011467 times 0.8 -0.48091736 Work out -1.6 * -0.49090247. 0.785443952 Work out 0.033 * 54732. 1806.156 What is 84026635 times -0.09? -7562397.15 What is 5857 times -89? -521273 What is the product of 43999 and -2140? -94157860 Calculate -0.1832*-51783. 9486.6456 Product of -5 and 31.72354. -158.6177 Calculate 3.70912*1626. 6031.02912 Product of -0.4 and 1058988. -423595.2 Multiply -0.071 and -3062.11. 217.40981 Product of -0.2 and -101003. 20200.6 What is the product of -0.1 and -654.7687? 65.47687 Multiply -3024.3 and -1.1308. 3419.87844 -508331 times 65 -33041515 Calculate 7.52*99504. 748270.08 Work out -32.13 * 254.43. -8174.8359 What is the product of -10480.95 and 0.08? -838.476 Product of -0.05670374 and -3. 0.17011122 -3 * 284457 -853371 Multiply 39.19 and -118. -4624.42 Product of 628.767 and 0.5. 314.3835 Calculate 336117*-6.3. -2117537.1 Work out -105 * -2322915. 243906075 -0.1 * 6004.236 -600.4236 What is the product of -17821 and 3.47? -61838.87 Product of -0.25 and -73937.04. 18484.26 -0.26615515 times -0.1 0.026615515 Work out -0.4 * -667053. 266821.2 -1371314.9*26 -35654187.4 Multiply 0.07 and -2.907872. -0.20355104 0.09535*2.1492 0.20492622 Calculate 0.1*-0.4443962. -0.04443962 What is the product of -3 and -200887.4? 602662.2 What is the product of -6995 and -1270? 8883650 Calculate 78534*0.19. 14921.46 Calculate -29.4*-611695. 17983833 Work out 8964 * -10232. -91719648 25 times 8183531 204588275 400172963 times 0.6 240103777.8 What is the product of -60268 and 10.1? -608706.8 -22573 * 0.1892 -4270.8116 What is the product of 913 and 212027? 193580651 Calculate 169.797*-1.9. -322.6143 What is 1 times -3120282.6? -3120282.6 Work out -7 * -15735837. 110150859 Calculate 10*33.70261. 337.0261 Product of 1 and 3128.718. 3128.718 0 times 130.084654 0 Calculate 5*-59.90871. -299.54355 -69166 * 1888 -130585408 -97869 times 974 -95324406 What is -0.01293523 times -0.029? 0.00037512167 -12586456 times -0.9 11327810.4 21*6571616 138003936 What is 4128 times 2.8103? 11600.9184 Multiply 142687837 and -0.1. -14268783.7 Work out -4529 * 10.13. -45878.77 What is the product of -189.59008 and 35? -6635.6528 2.2*-2793.3 -6145.26 Calculate -856*7.551. -6463.656 What is -2378 times -1401? 3331578 Multiply 3393663 and -0.4. -1357465.2 5656*0.0192 108.5952 324 * -24.3543 -7890.7932 Calculate -0.078*4.40419. -0.34352682 Multiply 0.0294 and -124388. -3657.0072 -0.1290959*-496 64.0315664 What is -3205.23 times 0.47? -1506.4581 Work out -0.05 * -7.1477647. 0.357388235 Product of 33 and -55708. -1838364 Product of -256.7519 and 0.3. -77.02557 543.3 times 1582 859500.6 3 * -12.02352 -36.07056 Work out -9629.3 * -1.56. 15021.708 What is the product of -3277 and -4113? 13478301 Work out 1 * -2649578. -2649578 Work out -23281 * -2691.4. 62658483.4 -0.05455*-154331 8418.75605 Product of 9875.611 and 4. 39502.444 -277763.9*0.07 -19443.473 -0.254 times 0.0312784 -0.0079447136 Multiply 0.425 and 137696. 58520.8 Multiply 0.532323 and 0.139. 0.073992897 Work out 198 * -599671. -118734858 Multiply 76 and 307435. 23365060 -0.7 * 0.303265 -0.2122855 0 times -3401.317 0 0.3 * -2.94580211 -0.883740633 Product of -3742150 and 14. -52390100 0.025*-14.7701 -0.3692525 Multiply -8 and -675.899. 5407.192 193 times -181.51 -35031.43 95016350 times 4 380065400 Multiply 38712 and -0.07845. -3036.9564 What is the product of -1.8 and -1038? 1868.4 Calculate -0.084*0.192367. -0.016158828 What is the product of 78404 and -0.02876? -2254.89904 Product of -0.29 and -65959. 19128.11 Product of 10021.3 and -53. -531128.9 Calculate 3.36393*-4. -13.45572 -614176 * 1 -614176 5 times 2361729 11808645 What is the product of -354354 and -77? 27285258 Calculate 21942679*-1.5. -32914018.5 -5 * 2111509 -10557545 3.177*112177 356386.329 What is 5 times -1641449? -8207245 Work out 3 * -34.698268. -104.094804 Product of 0.1379676 and 151. 20.8331076 21501134 times -0.9 -19351020.6 1911.3079*3 5733.9237 Product of -0.5 and 5629396. -2814698 620*-60200 -37324000 Work out 605549.07 * 3. 1816647.21 What is 3023728 times -3.6? -10885420.8 -0.04 times -44.09853 1.7639412 What is the product of 4.1 and 0.00292203? 0.011980323 Work out -0.0168 * 13484. -226.5312 0.16 times 259652 41544.32 Product of 5222 and -740.8. -3868457.6 Work out -6571 * -138693. 911351703 -2.819 times -9675 27273.825 97982 times -3.18 -311582.76 What is 1033368557 times 0.5? 516684278.5 Multiply 1.3
{ "pile_set_name": "DM Mathematics" }
13? 4748 What is 101022 (base 3) in base 9? 338 What is 2230112 (base 4) in base 9? 16115 What is -32962 (base 10) in base 5? -2023322 Convert -56550 (base 7) to base 4. -3200013 What is -683 (base 9) in base 4? -20301 1100110101101 (base 2) to base 14 2577 What is -28922 (base 10) in base 4? -13003322 What is 17562 (base 8) in base 5? 224200 Convert 1682 (base 10) to base 5. 23212 What is -633c (base 15) in base 16? -51f6 What is -11647 (base 8) in base 14? -1b95 101101110110111 (base 2) to base 13 a8c1 What is -97 (base 14) in base 4? -2011 202020001 (base 3) to base 13 6931 1110211 (base 3) to base 16 433 What is -13242 (base 5) in base 2? -10000110000 -2201111 (base 3) to base 14 -a1a What is -11010101000101 (base 2) in base 16? -3545 Convert 10031 (base 4) to base 13. 179 Convert 155131 (base 7) to base 9. 45867 Convert 5a8b (base 14) to base 10. 15803 -a0 (base 13) to base 12 -aa What is -111022221 (base 4) in base 6? -1505213 -36a2 (base 15) to base 4 -2311223 What is -42541 (base 6) in base 4? -1122331 Convert 2706 (base 8) to base 9. 2022 1111101101 (base 2) to base 16 3ed What is 10224 (base 5) in base 12? 495 Convert -1044 (base 5) to base 15. -9e -a36 (base 13) to base 7 -5026 304132 (base 5) to base 2 10011010111101 dc (base 14) to base 11 167 Convert -23 (base 6) to base 8. -17 What is -1415 (base 7) in base 6? -2315 What is -7a (base 13) in base 3? -10202 What is 254041 (base 6) in base 2? 101100110001001 Convert 10200233 (base 4) to base 8. 44057 Convert 10302113 (base 4) to base 14. 7207 18cd (base 16) to base 5 200344 What is -441 (base 15) in base 7? -2542 What is 20191 (base 10) in base 4? 10323133 Convert -356 (base 12) to base 8. -762 What is -14422 (base 5) in base 10? -1237 What is 150 (base 16) in base 6? 1320 What is 42a (base 16) in base 3? 1110111 What is 544 (base 6) in base 3? 21201 Convert -40044 (base 7) to base 12. -56b0 What is -13101 (base 6) in base 8? -3675 What is 3231 (base 7) in base 4? 101331 Convert 24243 (base 5) to base 3. 2111112 Convert 6c7 (base 13) to base 11. 980 What is -5552 (base 8) in base 13? -143a Convert 223 (base 4) to base 3. 1121 What is -100110110101011 (base 2) in base 5? -1114013 What is 211 (base 4) in base 13? 2b -1322 (base 5) to base 2 -11010100 Convert 1000011101101111 (base 2) to base 6. 424303 Convert 20b4 (base 13) to base 16. 11bd What is -14a79 (base 11) in base 5? -1140021 2053 (base 7) to base 6 3204 Convert -3607 (base 14) to base 7. -36310 Convert -4018 (base 11) to base 4. -1103133 -1c133 (base 13) to base 16 -d760 Convert 373 (base 14) to base 3. 221112 -db24 (base 16) to base 6 -1111420 What is -617 (base 10) in base 8? -1151 Convert 49877 (base 10) to base 11. 34523 -1761 (base 10) to base 9 -2366 13011 (base 4) to base 10 453 -4042 (base 6) to base 16 -37a What is 103123 (base 4) in base 12? 877 What is -20827 (base 9) in base 12? -7b97 What is 2836 (base 10) in base 5? 42321 What is 16b0 (base 12) in base 5? 41344 What is -32c (base 15) in base 10? -717 What is 1111001211 (base 3) in base 15? 89c4 Convert 566 (base 9) to base 4. 13101 404134 (base 5) to base 9 18803 Convert 482 (base 9) to base 13. 248 What is -22342 (base 10) in base 12? -10b1a Convert 19a3 (base 12) to base 11. 2401 What is 511 (base 12) in base 15? 33d Convert -1001111010 (base 2) to base 13. -39a -6fb (base 16) to base 11 -1385 Convert 34b7b (base 12) to base 11. 49213 Convert -31b0 (base 12) to base 5. -133320 Convert 214334 (base 7) to base 6. 445515 Convert -1110101011 (base 2) to base 5. -12224 What is -2002 (base 15) in base 5? -204002 1681 (base 12) to base 8 5201 Convert -2bb (base 12) to base 11. -362 What is -230301 (base 5) in base 11? -6186 Convert -457 (base 10) to base 3. -121221 What is 2624 (base 13) in base 7? 21566 What is 120b (base 13) in base 10? 2546 What is -561 (base 12) in base 13? -490 What is -2262 (base 7) in base 9? -1120 What is 468 (base 15) in base 11? 828 101101011100110 (base 2) to base 16 5ae6 -293 (base 15) to base 13 -363 Convert -27b (base 16) to base 8. -1173 1736 (base 9) to base 12 929 What is 33d (base 16) in base 5? 11304 Convert -1201022 (base 3) to base 7. -3434 -204 (base 9) to base 3 -20011 2022 (base 14) to base 5 134033 301013 (base 4) to base 10 3143 What is -155 (base 10) in base 16? -9b Convert -17431 (base 10) to base 15. -5271 What is 1320 (base 9) in base 4? 33132 23126 (base 10) to base 3 1011201112 What is 129 (base 14) in base 2? 11101001 101001110111 (base 2) to base 6 20223 Convert 177 (base 12) to base 8. 353 What is 330210 (base 4) in base 8? 7444 31330 (base 5) to base 13 c4a What is -1011212 (base 3) in base 12? -5b8 Convert 676 (base 9) to base 5. 4210 Convert -76434 (base 10) to base 11. -52476 Convert 1000100 (base 2) to base 12. 58 -513 (base 9) to base 12 -2a9 1a8 (base 16) to base 6 1544 What is 14512 (base 6) in base 7? 6563 What is -23712 (base 8) in base 9? -14867 What is -134746 (base 8) in base 2? -1011100111100110 Convert -1101111010 (base 2) to base 12. -622 10000101101110 (base 2) to base 7 33644 Convert -381 (base 12) to base 4. -20101 Convert 1680 (base 10) to base 12. b80 -1100 (base 2) to base 12 -10 Convert -7036 (base 8) to base 15. -110e What is -81124 (base 10) in base 9? -133247 What is -133211 (base 5) in base 11? -4098 Convert -10105 (base 6) to base 11. -1006 What is 5591 (base 11) in base 16? 1cc0 What is -96b4 (base 12) in base 6? -204344 -3b65 (base 14) to base 13 -49cc Convert -3241 (base 5) to base 8. -676 Convert 3221 (base 4) to base 6. 1025 Convert 955 (base 12) to base 13. 809 Convert 800 (base 11) to base 13. 596 What is -10101011 (base 2) in base 6? -443 24374 (base 10) to base 9 36382 Convert 2958 (base 11) to base 7. 14056 Convert -303030 (base 4) to base 12. -1a90 26102 (base 8) to base 14 41b4 33a1 (base 11) to base 4 1011303 Convert 387 (base 10) to base 16. 183 Convert -167 (base 8) to base 7. -230 -1510 (base 7) to base 10 -595 What is -105666 (base 7) in base 8? -44660 What is -369 (base 16) in base 14? -465 -36076 (base 8) to base 13 -7034 Convert 5070 (base 11) to base 14. 264c Convert 12301000 (base 4) to base 7. 143536 What is 312321 (base 4) in base 5? 103023 What is 7c3 (base 13) in base 15? 5e7 Convert -11102212 (base 3) to base 7. -12302 ec53 (base 15) to base 11 34650 -13207 (base 8) to base 9 -7817 -100 (base 14) to base 13 -121 Convert -2501 (base 10) to base 8. -4705 -211221 (base 3) to base 6 -2511 Convert -20102 (base 3) to base 14. -c5 What is 4256 (base 11) in base 12? 330b What is 1980 (base 15) in base 6? 41320 -4e3e (base 16) to base 15 -5e05 What is -46968 (base 10) in base 6? -1001240 What is -309 (base 12) in base 16? -1b9 What is 20002 (base 3) in base 13? c8 What is -35 (base 12) in base 6? -105 -e32 (base 16) to base 8 -7062 Convert -12112012 (base 3) to base 5. -112103 -1059 (base 12) to base 15 -7ec What is -18b (base 16) in base 4? -12023 Convert -14210 (base 5) to base 11. -983 -209 (base 12) to base 14 -173 What is -12240 (base 10) in base 2? -10111111010000 What is -11110111011 (base 2) in base 8? -3673 1010010000 (base 2) to base 14 34c -22233 (base 9) to base 16 -39b4 What is -f704 (base 16) in base 8? -173404 Convert c92 (base 16) to base 12. 1a42 111101010011101 (base 2) to base 11 21646 What is 1010100110 (base 2) in base 7? 1656 Convert 111010001 (base 2) to base 7. 1233 Convert 21070 (base 8) to base 11. 6644 11651 (base 11) to base 8 40562 25a (base 11) to base 16 133 Convert -1730 (base 10) to base 8. -3302 -125051 (base 6) to base 16 -2cd7 222420 (base 5) to base 10 7860 What is 11761 (base 8) in base 3? 21000002 Convert 221422 (base 6) to base 10. 18518 What is 7643 (base 8) in base 6? 30311 What is 16150 (base 7) in base 12? 2767 What is -1c37 (base 14) in base 5? -131040 What is -10321223 (base 5) in base 13? -31635 Convert -1971 (base 10) to base 12. -1183 Convert -650 (base 7) to base 8. -511 1001010011001101 (base 2) to base 8 112315 -324 (base 6) to base 11 -103 Convert -110111 (base 5) to base 7. -14011 What is 40 (base 10) in base 8? 50 -42021 (base 7) to base 8 -24101 -10010002120 (base 3) to base 16 -ef79 24604 (base 7) to base 16 1948 Convert -10586 (base 11) to base 6. -155004 9410 (base 10) to base 11 7085 331 (base 15) to base
{ "pile_set_name": "DM Mathematics" }
ent from wttwftwtwwwtftfwtptf. Give prob of sequence fpf. 1/570 What is prob of sequence wl when two letters picked without replacement from txtltxlglwlxft? 2/91 Four letters picked without replacement from {l: 4, a: 4, q: 3}. What is prob of sequence aqqq? 1/330 Three letters picked without replacement from vvvvv. Give prob of sequence vvv. 1 Four letters picked without replacement from {u: 3, h: 3, q: 3, f: 3}. What is prob of sequence hquh? 1/220 Four letters picked without replacement from dhchmdccdhu. What is prob of sequence hmmd? 0 Four letters picked without replacement from eneweswenwwnsywe. What is prob of sequence swes? 5/4368 Three letters picked without replacement from pppppxxxxpppx. What is prob of sequence xxx? 5/143 Four letters picked without replacement from oyuqzzyyykuuyquuk. What is prob of sequence uyzu? 5/1428 Calculate prob of sequence knnk when four letters picked without replacement from kkknknnnknkn. 5/66 What is prob of sequence fn when two letters picked without replacement from {q: 1, n: 3, e: 2, m: 1, f: 5, r: 1}? 5/52 What is prob of sequence mz when two letters picked without replacement from {m: 10, z: 2}? 5/33 Four letters picked without replacement from {e: 9, t: 3, l: 3, z: 1, f: 2, c: 1}. What is prob of sequence ezct? 3/10336 Three letters picked without replacement from xxtttxt. What is prob of sequence xtt? 6/35 Three letters picked without replacement from ororr. What is prob of sequence ror? 1/5 Four letters picked without replacement from ccusscs. What is prob of sequence uccs? 3/140 Calculate prob of sequence sfvx when four letters picked without replacement from {x: 1, f: 3, k: 1, v: 6, a: 3, s: 6}. 3/3230 Calculate prob of sequence xbb when three letters picked without replacement from {x: 1, b: 2, m: 3, s: 4}. 1/360 Calculate prob of sequence eo when two letters picked without replacement from {v: 2, e: 3, h: 5, o: 1, t: 1}. 1/44 Two letters picked without replacement from gvfkkkhkmkkkfkkgkkv. Give prob of sequence mv. 1/171 Calculate prob of sequence vvm when three letters picked without replacement from mmmvvv. 3/20 Calculate prob of sequence si when two letters picked without replacement from siiiss. 3/10 Two letters picked without replacement from {u: 1, g: 3, v: 1}. Give prob of sequence gg. 3/10 What is prob of sequence baxe when four letters picked without replacement from {g: 3, x: 8, a: 1, m: 2, b: 1, e: 2}? 1/3570 Calculate prob of sequence bd when two letters picked without replacement from {v: 3, e: 2, o: 1, b: 1, d: 5}. 5/132 Two letters picked without replacement from {t: 3, j: 5, n: 5, s: 1, y: 2}. Give prob of sequence ts. 1/80 Calculate prob of sequence wl when two letters picked without replacement from lxawl. 1/10 What is prob of sequence fjf when three letters picked without replacement from {j: 1, f: 2}? 1/3 Three letters picked without replacement from xfxilzfxfzxxfixxxxi. Give prob of sequence lfi. 2/969 Two letters picked without replacement from leseelelehl. Give prob of sequence se. 1/22 What is prob of sequence ig when two letters picked without replacement from {g: 2, h: 3, i: 2, u: 6}? 1/39 Four letters picked without replacement from pmpmmmmpppmppmmpmppp. Give prob of sequence mpmp. 22/323 Two letters picked without replacement from sppspps. Give prob of sequence pp. 2/7 Four letters picked without replacement from jiiiijiiiji. What is prob of sequence iiji? 7/55 Four letters picked without replacement from {q: 14, m: 1}. Give prob of sequence qmqq. 1/15 Two letters picked without replacement from {d: 4, b: 3}. What is prob of sequence db? 2/7 Calculate prob of sequence fb when two letters picked without replacement from dfbbebx. 1/14 Two letters picked without replacement from vrzzjjjrvvqjzjjwr. Give prob of sequence vj. 9/136 Two letters picked without replacement from ffnikkknkkkononf. Give prob of sequence fk. 3/40 Three letters picked without replacement from {z: 3, b: 2, p: 1, y: 3, s: 4, i: 3}. Give prob of sequence zbi. 3/560 Three letters picked without replacement from {s: 6, w: 1, z: 7}. Give prob of sequence ssz. 5/52 Calculate prob of sequence qj when two letters picked without replacement from djddgqoojdogdou. 1/105 Three letters picked without replacement from wwbbbwwbbwqmbbbb. Give prob of sequence bbw. 3/28 Calculate prob of sequence jcj when three letters picked without replacement from {j: 3, s: 2, c: 1, f: 1, h: 3}. 1/120 Four letters picked without replacement from {a: 1, j: 4, t: 1, e: 4, s: 1, p: 1}. Give prob of sequence apst. 1/11880 Four letters picked without replacement from {i: 1, a: 7, r: 4, l: 2, d: 1}. Give prob of sequence dari. 1/1170 Two letters picked without replacement from eteeett. What is prob of sequence tt? 1/7 Three letters picked without replacement from qqqqqqqqqqqqqqqqdq. What is prob of sequence qdq? 1/18 What is prob of sequence fn when two letters picked without replacement from {f: 1, c: 5, n: 1, g: 3, h: 3}? 1/156 Four letters picked without replacement from {n: 2, f: 2, i: 1, s: 1, l: 11, x: 1}. Give prob of sequence nils. 11/36720 Calculate prob of sequence yyd when three letters picked without replacement from dyyyyyd. 4/21 Three letters picked without replacement from kskgxuxqs. What is prob of sequence qxu? 1/252 Two letters picked without replacement from jjjj. What is prob of sequence jj? 1 What is prob of sequence mi when two letters picked without replacement from wwwmiiw? 1/21 Four letters picked without replacement from kkkkkmkkkkykmkmkkymm. Give prob of sequence kmkk. 143/1938 Three letters picked without replacement from {s: 9, o: 2, b: 5}. Give prob of sequence soo. 3/560 Two letters picked without replacement from {r: 4, o: 3}. What is prob of sequence rr? 2/7 Three letters picked without replacement from iiiiijwiwwiwiiwj. What is prob of sequence wjw? 1/84 Two letters picked without replacement from {b: 2, l: 4}. Give prob of sequence lb. 4/15 Four letters picked without replacement from {z: 1, x: 8, g: 4, l: 2, m: 1}. Give prob of sequence lggg. 1/910 Four letters picked without replacement from {m: 1, o: 2, r: 2, p: 5, i: 1, n: 6}. Give prob of sequence opro. 1/2856 Two letters picked without replacement from {r: 3, b: 1, a: 3, h: 1, p: 5}. Give prob of sequence rb. 1/52 Calculate prob of sequence ss when two letters picked without replacement from {f: 6, s: 9, e: 4}. 4/19 Calculate prob of sequence eee when three letters picked without replacement from aeee. 1/4 What is prob of sequence au when two letters picked without replacement from vaazazua? 1/14 Four letters picked without replacement from iiiiittitit. What is prob of sequence ttti? 7/330 Three letters picked without replacement from {j: 4, m: 9, e: 1}. What is prob of sequence jmm? 12/91 Two letters picked without replacement from {k: 8, y: 1, d: 1, l: 1, e: 1, v: 2}. Give prob of sequence yk. 4/91 Calculate prob of sequence nykk when four letters picked without replacement from knnyk. 1/30 Two letters picked without replacement from {c: 1, i: 1, w: 2, m: 3, q: 1, v: 3}. What is prob of sequence qc? 1/110 Two letters picked without replacement from {p: 1, e: 2, r: 1, f: 1, n: 2, o: 1}. Give prob of sequence rf. 1/56 Two letters picked without replacement from owztczcu. Give prob of sequence tz. 1/28 What is prob of sequence yrtg when four letters picked without replacement from {r: 1, g: 2, t: 1, p: 1, q: 1, y: 1}? 1/420 Three letters picked without replacement from mounummbumuorbn. Give prob of sequence nnb. 2/1365 Four letters picked without replacement from {t: 4, z: 5, m: 1}. What is prob of sequence tzmt? 1/84 Four letters picked without replacement from {w: 2, m: 7, g: 5, h: 5}. Give prob of sequence hhhh. 5/3876 Three letters picked without replacement from riejierf. What is prob of sequence eje? 1/168 Four letters picked without replacement from {y: 2, m: 1, s: 3, k: 4, j: 1}. What is prob of sequence kmjs? 1/660 Calculate prob of sequence hup when three letters picked without replacement from uppyuuuyuubh. 1/110 Two letters picked without replacement from {f: 1, o: 1, r: 2, v: 1, q: 1, g: 1}. Give prob of sequence rr. 1/21 Three letters picked without replacement from mmmmmmmummu. What is prob of sequence muu? 1/55 What is pro
{ "pile_set_name": "DM Mathematics" }
ggggwsw. 50/171 Three letters picked without replacement from ggungugnvuvnuuguu. Give prob of picking 3 n. 1/680 Two letters picked without replacement from {x: 1, q: 2, o: 2, p: 1, s: 1, v: 1}. Give prob of picking 1 v and 1 q. 1/14 Two letters picked without replacement from {q: 10, a: 3, l: 3, u: 2}. Give prob of picking 1 l and 1 u. 2/51 Calculate prob of picking 3 h when three letters picked without replacement from {l: 5, s: 2, h: 6}. 10/143 Calculate prob of picking 1 o, 1 t, 1 w, and 1 r when four letters picked without replacement from rrtzrertttrrwzrotoro. 8/323 Calculate prob of picking 2 a, 1 q, and 1 y when four letters picked without replacement from {r: 5, u: 6, x: 4, a: 3, y: 1, q: 1}. 1/1615 What is prob of picking 1 s and 1 j when two letters picked without replacement from seneenej? 1/28 Three letters picked without replacement from xxixixxxxxxx. What is prob of picking 3 x? 6/11 What is prob of picking 1 a and 1 w when two letters picked without replacement from fffawawfffaww? 2/13 Four letters picked without replacement from {l: 5, a: 13}. What is prob of picking 3 a and 1 l? 143/306 What is prob of picking 2 e and 2 x when four letters picked without replacement from eeeeeexexeee? 1/11 What is prob of picking 1 b and 2 q when three letters picked without replacement from bqeeqqeqbeee? 3/55 What is prob of picking 3 u when three letters picked without replacement from caauuauacuu? 2/33 Calculate prob of picking 2 l and 1 m when three letters picked without replacement from lmmmmmmlmlmmmlmmmm. 7/68 Two letters picked without replacement from {p: 3, z: 2, r: 15}. Give prob of picking 2 z. 1/190 Four letters picked without replacement from jrrvjvvvjzvrj. What is prob of picking 1 v and 3 r? 1/143 Calculate prob of picking 1 j and 1 n when two letters picked without replacement from jtnngnftftf. 3/55 What is prob of picking 2 u when two letters picked without replacement from {u: 5}? 1 Three letters picked without replacement from ononnonnno. What is prob of picking 3 n? 1/6 What is prob of picking 1 g and 1 y when two letters picked without replacement from {b: 1, y: 2, g: 1, i: 1, q: 1, z: 1}? 2/21 What is prob of picking 1 b and 1 r when two letters picked without replacement from {a: 2, b: 3, r: 13, c: 1}? 13/57 What is prob of picking 2 c, 1 j, and 1 q when four letters picked without replacement from cqlccoffcojoc? 2/143 What is prob of picking 2 t when two letters picked without replacement from nrlljnttnlrjjjrjtjrj? 3/190 Four letters picked without replacement from vtvtvtvvtvvtvvvtvvv. Give prob of picking 3 t and 1 v. 65/969 What is prob of picking 1 i, 1 s, and 1 d when three letters picked without replacement from {f: 1, i: 2, s: 1, d: 1}? 1/5 What is prob of picking 1 q and 2 r when three letters picked without replacement from {q: 3, r: 4}? 18/35 Two letters picked without replacement from zzzzzzz. Give prob of picking 2 z. 1 Calculate prob of picking 2 p, 1 c, and 1 e when four letters picked without replacement from jptppecp. 3/35 What is prob of picking 1 c, 1 j, and 2 r when four letters picked without replacement from jxvvxjcrvtvr? 2/495 Calculate prob of picking 2 q when two letters picked without replacement from {q: 13, d: 5}. 26/51 Two letters picked without replacement from yjsxjjjsjsyjyjssys. What is prob of picking 1 j and 1 s? 14/51 What is prob of picking 1 e and 3 x when four letters picked without replacement from {e: 2, b: 2, x: 5}? 10/63 Four letters picked without replacement from eudrrdeuduu. What is prob of picking 2 r and 2 d? 1/110 Four letters picked without replacement from hifhihivvvvfihiihi. Give prob of picking 1 v and 3 h. 2/153 Calculate prob of picking 3 x and 1 q when four letters picked without replacement from lxlxlqxlqlll. 2/495 Four letters picked without replacement from gxxxxxg. What is prob of picking 2 g and 2 x? 2/7 Four letters picked without replacement from {u: 2, c: 1, g: 1, y: 2, n: 2}. Give prob of picking 1 u, 2 y, and 1 c. 1/35 What is prob of picking 2 m when two letters picked without replacement from nonomoomonmnmommmo? 7/51 Calculate prob of picking 3 l when three letters picked without replacement from {x: 3, b: 3, l: 5}. 2/33 What is prob of picking 1 z and 1 j when two letters picked without replacement from {d: 2, o: 1, j: 1, q: 2, z: 2}? 1/14 Calculate prob of picking 2 n and 2 o when four letters picked without replacement from oonqqqoqoqonooo. 4/195 What is prob of picking 1 u, 1 p, and 1 w when three letters picked without replacement from ipppwnpu? 1/14 Two letters picked without replacement from {j: 6, f: 5, m: 4}. What is prob of picking 2 j? 1/7 What is prob of picking 1 i and 2 v when three letters picked without replacement from jjjtjjjjjojvjtijoj? 0 Calculate prob of picking 1 q and 2 c when three letters picked without replacement from qqmqqqcqcqmcqmqqqcmq. 6/95 Calculate prob of picking 1 j, 1 t, and 1 x when three letters picked without replacement from {j: 1, i: 1, m: 1, x: 1, t: 3, d: 6}. 3/286 What is prob of picking 1 u and 1 o when two letters picked without replacement from {u: 2, x: 2, o: 3, p: 4}? 6/55 Three letters picked without replacement from eeeeeeepeeeeeppepe. Give prob of picking 1 p and 2 e. 91/204 What is prob of picking 1 j and 1 a when two letters picked without replacement from ajhahgihhh? 2/45 Calculate prob of picking 3 j when three letters picked without replacement from xxxxjxjxjxxjxxjxjx. 5/204 Four letters picked without replacement from ivwixwcc. What is prob of picking 1 i, 1 x, and 2 c? 1/35 Calculate prob of picking 1 o and 1 q when two letters picked without replacement from {q: 1, r: 1, h: 1, f: 3, o: 5, u: 1}. 5/66 Two letters picked without replacement from {r: 3, j: 5, m: 6, g: 3}. What is prob of picking 1 g and 1 j? 15/136 Calculate prob of picking 1 l and 1 k when two letters picked without replacement from {k: 1, t: 2, y: 2, f: 1, l: 1, a: 1}. 1/28 Four letters picked without replacement from vvhpvvrvlphhvhvvvh. Give prob of picking 1 p and 3 v. 14/255 Two letters picked without replacement from {v: 6, y: 12}. Give prob of picking 1 v and 1 y. 8/17 Three letters picked without replacement from bbdgmmmmldmd. Give prob of picking 1 b, 1 d, and 1 l. 3/110 Two letters picked without replacement from kgz. Give prob of picking 1 g and 1 k. 1/3 What is prob of picking 1 z and 1 b when two letters picked without replacement from szsssbsbx? 1/18 Three letters picked without replacement from {c: 2, z: 1, d: 7, g: 1, e: 5, u: 1}. Give prob of picking 1 z, 1 u, and 1 g. 1/680 Three letters picked without replacement from fhtffhhcftffphffffhh. Give prob of picking 1 c, 1 h, and 1 t. 1/95 What is prob of picking 3 r when three letters picked without replacement from kmrkkrkkrkkrmmmk? 1/140 Three letters picked without replacement from bnnknbn. What is prob of picking 2 b and 1 n? 4/35 Calculate prob of picking 3 d when three letters picked without replacement from ddddddddadddddd. 4/5 Three letters picked without replacement from {j: 4, n: 6, f: 5}. Give prob of picking 2 f and 1 j. 8/91 What is prob of picking 2 j when two letters picked without replacement from jjjjjj? 1 Three letters picked without replacement from qooqqoqouoqoqo. Give prob of picking 1 u and 2 q. 15/364 Four letters picked without replacement from {n: 7, u: 7}. What is prob of picking 2 u and 2 n? 63/143 Calculate prob of picking 3 m and 1 i when four letters picked without replacement from mppiimiimimiiim. 16/273 Two letters picked without replacement from dstdlddtplllpd. Give prob of picking 2 t. 1/91 Calculate prob of picking 2 l and 2 q when four letters picked without replacement from {l: 2, q: 7, z: 5}. 3/143 Four letters picked without replacement from scscssscsc. Give prob of picking 4 s. 1/14 What is prob of picking 1 b, 1 u, and 1 c when three letters picked without replacement from {i: 7, b: 2, a: 2, u: 2, c: 4, m: 2}? 16/969 What is prob of picking 1 y and 1 u when two letters picked without replacement from {z: 5, y: 6, u: 2}? 2/13 Four letters picked without replacement from cggtycccycycgrycccc. What is prob of picking 2 g and 2 c? 45/1292 What is prob of picking 2 g and 1 y when three letters picked without replacement from {y:
{ "pile_set_name": "DM Mathematics" }
Give h(1). 1 Let q(d) = -11*d**2 + 29*d - 6. Let v(w) = 7*w**2 - 19*w + 4. Let b(x) = 5*q(x) + 8*v(x). Calculate b(5). -8 Let m be (-68)/(-20) - 2/5. Suppose -x - 7 + m = 0. Let g(k) = -2*k - 6. Determine g(x). 2 Let w(u) = -3*u - 6. Let x be w(-5). Let l = x - 4. Let r(k) = -k**2 + 6*k + 4. Calculate r(l). 9 Suppose -8*w + 3*w - 35 = 0. Let f(h) = -5*h + 0*h**3 + 9 - 10*h**3 + 6*h**2 + 3*h**3 + 8*h**3. Give f(w). -5 Let g be (3/(-2))/(6/(-8)). Let d(v) = 2*v - 1. What is d(g)? 3 Let j(g) = g**3 + 2*g**2 - 2*g + 3. Let f be 49/5 + 3/15. Let y be (12/f)/(4/(-10)). Calculate j(y). 0 Let c(x) = x**2 - x + 4. Let t be c(0). Let a(f) = f**2 + t*f + 0*f + 0*f. Determine a(-2). -4 Let b(x) = -x**3 - 6*x**2 - x - 2. Let q(i) = -i**2 - 8*i + 14. Let a be q(-10). Calculate b(a). 4 Let q(r) be the second derivative of -r**5/20 + r**4/4 + r**3/6 + 42*r. Suppose -2*h = -0*h - 6. What is q(h)? 3 Let x(r) = -3*r + 0*r**2 + r**2 - 1 + 7*r. What is x(-4)? -1 Let d be 26/(3 + -1) - -2. Let m be (-33)/d + (-2)/(-10). Let s(h) = h**2. Determine s(m). 4 Let i(s) = -s**2. Let d(j) = -j**2. Let t be d(0). Suppose t*p + 2*p = -4. Give i(p). -4 Let k(r) be the second derivative of -r**5/60 - r**4/3 - r**3 - 2*r**2 - 4*r. Let i(j) be the first derivative of k(j). Give i(-7). 1 Let q = 6 + -2. Let n(r) be the second derivative of 2*r + 0 + 1/6*r**q + 1/6*r**3 - 1/20*r**5 - 1/2*r**2. Calculate n(2). 1 Let v(g) be the third derivative of -5*g**4/24 - g**3/3 + 2*g**2. Let r(a) = 3*a + 15. Let n be r(-6). Calculate v(n). 13 Let i be (2 - 1)/(1/(-3)). Let l be 9*i/(-9)*-1. Let q(h) = h**2 + 3*h - 1. Determine q(l). -1 Suppose 7*h = 13 + 15. Let m(q) = q**2 - 7*q + 5. What is m(h)? -7 Let r be ((-16)/10)/(4/(-30)). Let l = r - 7. Let b(c) = 0*c + 21 + c**3 + 5*c + 19 + 0*c - 6*c**2 - 36. Calculate b(l). 4 Let n(s) = -5*s**2 + 2*s + 1. Let a be ((-11)/(-2))/11*(4 + 0). What is n(a)? -15 Let l(m) = -m**3 + 3*m - 3. Let b(h) = -h - 8. Let z be b(-8). Suppose z*n = n - 2. Suppose 0 = -x - n + 4. Calculate l(x). -5 Suppose 4*f = -f + 10. Let a(l) = 7*l + f*l - l - 2*l. Determine a(1). 6 Let t(o) = o**3 - 6*o + 3 + 32*o**2 - 35*o**2 - 1. Calculate t(4). -6 Let d = -8 - -15. Let t(z) = -z + 12. Give t(d). 5 Let h(v) be the third derivative of v**5/60 + 7*v**3/6 - v**2. Suppose 0 = -88*i + 91*i. What is h(i)? 7 Let w(l) = -8 + 7 - 20*l**3 + 2*l + 3*l**2 + 19*l**3 - 3*l. Give w(2). 1 Let h(s) = -s + 5. Suppose 6 = 2*k + 3*k - 2*a, -4*k - 5*a - 15 = 0. Determine h(k). 5 Suppose 2*v = 3*v - 4. Suppose 3*t = -v*y + 22, 4*t - 3 = -y + 9. Let r(z) = -z**2 - z. Let w(x) = -1. Let i(u) = -r(u) + 2*w(u). Give i(t). 4 Let f(u) = -7*u**2 + u. Let s be ((-16)/14)/2 + 22/14. Determine f(s). -6 Let t(l) = -5*l**3 + l**2 - l. Let s(y) = -6*y**3 + 2*y**2 - 2*y. Let i(h) = 4*s(h) - 5*t(h). Suppose -2*z + 0*z - 8 = 0. Determine i(z). -4 Suppose 5*d - 6 = 24. Let a(x) = -34*x + 19*x + x**2 + 19*x - d. Give a(-6). 6 Let s(i) = -i + 1. Let c(l) = -l**3 + l**2 + 1. Let y be c(0). Let k = y + 2. Determine s(k). -2 Let i(n) = -2*n - 9. Suppose 4 = -4*l, 2*l + 5 = 4*h - 3*l. Let v be -9 - ((-2 - 1) + h). Give i(v). 3 Let b(c) = -c**3 + 15*c**2 + 13*c - 13. Let i(p) = p**3 - 17*p**2 - 14*p + 13. Let j(n) = -4*b(n) - 3*i(n). Calculate j(10). 13 Let d be -1 - -1 - 8/4. Let q(n) be the second derivative of 3*n**2/2 + 3*n. Let i(j) = j - 8. Let w(o) = 4*i(o) + 11*q(o). What is w(d)? -7 Let d(q) = -q**2 - q. Suppose -8*p + p = 21. Calculate d(p). -6 Let u = 9 - 6. Let i = -6 - -9. Suppose -u = -3*a + i. Let b(w) = -3*w. Determine b(a). -6 Let r(h) be the third derivative of 1/6*h**3 - 1/60*h**5 - 5*h**2 + 0*h - 1/24*h**4 + 0. Calculate r(2). -5 Let x(g) be the first derivative of -g**4/12 + g**3/6 - g**2 + 3*g + 7. Let d(q) be the first derivative of x(q). Calculate d(2). -4 Let q(f) be the third derivative of -f**4/24 - f**3/6 + f**2. Let a = -11 + 22. Let t(m) = -m**2 + 12*m - 15. Let b be t(a). Calculate q(b). 3 Let n(z) = -2*z + 4*z + 6 + 0*z - z**3 - 5*z + 6*z**2. Determine n(5). 16 Let h = 8 - 5. Let q(v) = -7 + 2*v + 18 - 3 - 7. Determine q(h). 7 Let j(u) = u**2 + u - 1. Let d be (65/130)/((-1)/(2/(-1))). Determine j(d). 1 Let k(u) = u + 7. Let p be k(-3). Let c(v) = -v**3 - 5*v**2 - 5*v - 2. Let i be c(-4). Let z(h) = -p*h + h + i*h + 9*h**2. Give z(1). 8 Let c(i) = i**2 - 4*i + 1. Let t(b) = b**2 + b - 4. Let d be t(-3). Let a be d/4*2 - -1. Let f = a + 1. What is c(f)? -2 Let t(q) be the third derivative of q**5/60 + q**4/12 - q**3/3 - 20*q**2. What is t(-4)? 6 Let y(i) = -i**3 - 7*i**2 - 7*i + 1. Let d = -19 + 13. Calculate y(d). 7 Let w(a) = 3*a**3 - 8*a**2 + 5*a + 4. Let r(h) = -7*h**3 + 17*h**2 - 11*h - 9. Let i = 0 + -5. Let k(m) = i*w(m) - 2*r(m). Determine k(5). 8 Let o be (-15)/(-6) + (-2)/4. Let b(i) = -o + 3*i - 2*i - 2*i + 2*i. Suppose q + 8 = -2*g, -5*q + 11 = -2*q - g. Give b(q). 0 Let u(m) = -4*m + 2*m**2 + 3*m - 117 + 117 + 2*m**3. Calculate u(1). 3 Let w(g) = -4*g - 15 + 7 + 2. What is w(-5)? 14 Let y(c) = -11 + 7 + 4 - 4*c. Suppose -5*g + 1 = -6*g. Calculate y(g). 4 Let a(h) = h - 2*h**3 + 2 - h**2 - 1 + h. Suppose 0 = 5*b - p - 6 - 0, 4*p + 8 = 4*b. Let o be 3 + -6 - (-1)/b. Determine a(o). 9 Let m(z) = -z**2 + 3*z - 1. Let k be m(3). Let q be (k/1)/(3/(-6)). Let i(v) = -5 + 5 + 1 - 2 + 4*v + 2*v**q. Give i(-3). 5 Let o(f) = -9*f**3 - 10*f**2 + 19*f + 8. Let w(x) = 5*x**3 + 5*x**2 - 10*x - 4. Let q(a) = 6*o(a) + 11*w(a). Calculate q(4). 4 Let a(x) = x**3 + 5*x**2 - 4*x + 4. Let i be 2/12 + 244/(-24). Let k be ((-4)/i - 0)*-15. Calculate a(k). -8 Let u be (-4 + 4 - 0)/2. Let w = 1 + u. Let n(l) = -l. Give n(w). -1 Suppose -5*l - 11 = 24. Let q(o) = o**2 + 6*o + 2. What is q(l)? 9 Let d(l) = -4*l + 4. Let b(q) = -5*q + 11. Let n(g) = -70*g + 155. Let h(p) = -85*b(p) + 6*n(p). Let v(c) = -4*d(c) - 3*h(c). Give v(6). 5 Let v(b) = b**3 - 6*b**2 - b + 5. Let w(k) = -k**2 - k + 6. Let y be w(0). Determine v(y). -1 Let s(l) = 1 + 14*l**2 + 6*l**2 - 29*l**2 + 6*l**2. Calculate s(-1). -2 Suppose 0 = 2*p - 8, 5*p = 2*i + p + 16. Suppose 5*a - 5 = -i*a. Let w(z) = 6*z**2 - z + 1. What is w(a)? 6 Suppose 3*m - 2*v - 32 - 73 = 0, -2*v - 35 = -m. Suppose -m = -5*o - f, 5*f - 2*f - 21 = -o. Let a(u) = 5*u - 2*u + 3 + u**2 - 8*u - 5. Determine a(o). 4 Suppose 2*c + c - 18 = 0. Let i(y) = -y**2 + 5*y + 8. Let o be i(c). Let j(n) = -2 + 0 + 12*n**2 - 10*n**2. Calculate j(o). 6 Let y(s) be the second derivative of -2*s**3/3 + s**2/2 - s. Let d(a) = a**3 - 6*a**2 + 6*a - 4. Let w be (-1)/(27/15 + -2). Let k be d(w). What is y(k)? -3 Let v(s) be the first derivative of -s**3/3 + 6*s + 3. Give v(0). 6 Let a be 3 - 3/(9/12). Let z(l) be the second derivative of l**4/4 + l. Determine z(a). 3 Let v(p) = -6*p**3 + 5*p**2 - 5*p - 5. Let y(n) = 5*n**3 - 4*n**2 + 4*n + 6. Let o(w) = 4*v(w) + 5*y(w). What is o(0)? 10 Let v(l) = -3*l - 2. Let y(x) = -9*x - 6. Let w(k) = -7*v(k) + 2*y(k). Determine w(2). 8 Let s(k) = -1 + k**2 + 3 - 6*k + 0. Give s(4). -6 Let o(u) = -u**2 + 7*u. Let c be (-22)/(-6) - (-4)/(-6). Give o(c). 12 Suppose 5*p = 9 + 1. Let c(y) = y**2 + y + 3*y**2 + y**p. What is c(-1)? 4 Let t = 5 + -7. Let y(p) = -16*p + 7. Let b(d) = -1. Let x(m) = 3*b(m) + y(m). Let a(v) = 11*v - 3. Let i(f) = 7*a(f) + 5*x(f). What is i(t)? 5 Let v = -20 - -22. Let w(n) = 0 + 2*n - 3*n**v + 4*n**3 - 3*n**3 + 0 + 1. Suppose -6 = -4*m + 2*m + 2*x, 5*m = -5*x + 5. Give w(m). 1 Let o(y) = y**3 + 6*y**2 - 6*y + 7. Let c be o(-7). Let n(m) = 2*m - m + c*m - 2. Let f = 25 - 23. Give n(f). 0 Let d(n) = -3*n + 2*n + n - 2*n - 4. Determine d(-5). 6 Let k(j) = -j**2 - 11*j - 9. Let h be (25/2)/(-1)*(-56)/(-70). What is k(h)? 1 Let n be (-4)/10 + (-51)/(-15). Let v(w) = -2*w**2 - 3*w - 3 + 3*w**2 + w**2. Determine v(n). 6 Let q = 17 - 11. Let j(s) = -s**3 + 5*s**2 + 4*s + 7. Determine j(q). -5 Let d(n) = -5*n - 5. Let r(z) = -z. Let p(i) = -d(i) + 2*r(i). Calculate p(-6). -13 Let r(s) = -s + 2. Let f be r(3). Let u(j) be the second derivative of -3*j**4/2 - j**3/6 - 2*j. What is u(f)? -17 Let z(j) be the first derivative of -j**2 - 2*j - 18. Calculate z(-3). 4 Let w(i) be the third derivative of -i**8/20160 + i**7/2520 - i**6/720 + i**5/20 - 5*i**2. Let h(j) be the third derivative of w(j). Calculate h(2). -1 Let w = -2 + 7. Let
{ "pile_set_name": "DM Mathematics" }
2 = -a + 4*n. Suppose 34 = -2*w + w. Let i = w + a. Calculate the greatest common factor of 8 and i. 8 Let q be 2/4*(-1056)/(-8). What is the highest common factor of q and 110? 22 Suppose 0 = -5*g + 3*z + 2*z + 105, g + 2*z - 33 = 0. Calculate the greatest common factor of 100 and g. 25 Let r = -3 - -4. Calculate the highest common factor of r and 1. 1 Let m be (1*(1 - -1))/2. Let d(i) = -2*i + 2*i + 11*i**2. Let o be d(m). What is the highest common divisor of o and 88? 11 Suppose 0 = 4*k + 5*w - 2*w + 15, -4*w - 20 = -2*k. Suppose 2*q - 12 - 24 = k. What is the greatest common divisor of q and 45? 9 Let t = 75 - 5. Calculate the highest common factor of t and 28. 14 Let x be 1 + 1 + 6/3. Suppose x*u = 8 + 8. Suppose -y = -m - 11, 2*y + m - 13 = -0*m. Calculate the greatest common factor of y and u. 4 Suppose -a = 2*a - 9. Let w(l) = 4*l - 2. Let r be w(a). Calculate the highest common divisor of 90 and r. 10 Suppose 2 = 2*g - 22. What is the greatest common factor of 6 and g? 6 Suppose 0 = -s + 3*s - 42. Let l = 2 + -5. Let o = l - -6. Calculate the highest common divisor of s and o. 3 Suppose 173 + 97 = 3*y. Suppose -3*g + 16 = -38. Calculate the greatest common factor of g and y. 18 Let i be ((-1326)/(-9))/((-2)/(-3)). Suppose 5*d + 4*m - i + 47 = 0, 68 = 2*d + 2*m. Calculate the highest common divisor of d and 38. 38 Suppose 0 = 2*v + 3*v + 3*b - 1120, 672 = 3*v + 5*b. What is the highest common factor of v and 28? 28 Let h be (-15)/(-10) + (-1)/(-2). Let y be (-4)/h - (-4 + -174). What is the highest common factor of y and 16? 16 Let v(x) = -3*x + 16. Let t be v(-11). Let c be 1/(1 - 6/7). What is the highest common factor of c and t? 7 Let w be 16/6 - (-30)/(-45). Calculate the greatest common factor of w and 16. 2 Let x = 9 - 4. Suppose 2*y + x*u - 39 = 0, -2*u = -y - 6 + 3. Let j = 72 - 51. What is the greatest common divisor of y and j? 7 Let f(a) = 52*a - 4. Let u be f(1). Calculate the highest common factor of 72 and u. 24 Let t(w) = -3*w - 4 + 3*w + 5 + w. Let h be t(5). What is the highest common divisor of h and 66? 6 Let d be 3/(-5) + (-86)/(-10). Let z(t) = 17*t**3 - t**2 + t - 1. Let c be z(1). What is the highest common divisor of d and c? 8 Let o(b) = b**2 + 0*b**2 + 6*b - 3*b**2 + 3*b**2 - 8. Let z be o(-6). Let h = z - -23. Calculate the greatest common divisor of 5 and h. 5 Let d(z) = -z**2 + 2. Let o be d(-2). Let w be 3*2/(o/(-5)). Let r be (-4)/10 - (-1208)/20. Calculate the greatest common factor of w and r. 15 Suppose -2*t - 180 = -8*t. What is the greatest common divisor of t and 18? 6 Let k = -126 + 228. What is the greatest common divisor of k and 153? 51 Let t be (0 - 6)*(-1)/2. Let g = 10 - 6. Let s be -1 - -1 - (-36)/g. What is the greatest common divisor of s and t? 3 Let a = -2 - -5. Suppose 0 = a*z + 2*z - 10. Suppose -4*q = -z*q - 30. What is the greatest common factor of 105 and q? 15 Suppose -5*j + 19 = -1. Let x = j + -3. Let d be 4/(-2)*(x - 4). Calculate the greatest common divisor of 12 and d. 6 Let q be 8*1 + (6 - 9). Suppose 0 = q*w - 30 - 10. Calculate the greatest common divisor of w and 8. 8 Suppose -4*v + 159 = -9. What is the greatest common divisor of v and 21? 21 Suppose 107 - 71 = 3*f. What is the highest common factor of 60 and f? 12 Let w = 102 - 100. Suppose 0 = 6*m - 4*m - 36. What is the greatest common factor of m and w? 2 Suppose 7*x = 3*x + 48. Suppose 3*s - 3*p = -0*p + 15, -2*s = -5*p - 1. What is the greatest common divisor of x and s? 4 Let p be (1 - 1)/(3 - 5). Let c be (0 + -2)/(-2 - p). Let u be c*90/2 - -3. Calculate the greatest common divisor of u and 16. 16 Suppose -c - 2*c = a + 1, 5*a = -4*c + 17. What is the highest common divisor of a and 2? 1 Suppose -5*c + 4*c - 5*b = -25, -2*c = 2*b - 10. Suppose -5*x + 7 + 53 = c. Calculate the greatest common factor of x and 12. 12 Let a(f) = -f**2 + 12*f - 1. Let m be a(5). Suppose -5*z + i + m = -10, -4*i = -4*z + 48. Calculate the highest common divisor of z and 24. 8 Let v be (-3)/2 + (-248)/(-16). Calculate the highest common divisor of v and 2. 2 Let o(d) be the first derivative of -1 - 3*d**2 - 1 + 0*d**2 - 12*d. Let g be o(-8). What is the greatest common factor of 24 and g? 12 Let t be 2 + -3 + (131 - 7/7). Calculate the greatest common factor of 43 and t. 43 Suppose -4*g - 6 = 2*b - 58, 0 = 4*g - 20. Calculate the greatest common factor of b and 40. 8 Suppose -5*t = -3*k + 529, -3*t + 6*t - 489 = -3*k. Let c be 124/6 + (-2)/(-6). What is the greatest common divisor of c and k? 21 Let q = -27 + 30. Calculate the highest common factor of 9 and q. 3 Let u(m) = 0*m - 1 + 17 + 8*m. Let k be u(6). Calculate the highest common factor of 32 and k. 32 Let n(c) = 11*c - 3. Let u be n(3). Let b(k) = k + 10. Let x be b(-10). Let l be -1 + 43 + x + 3. Calculate the highest common factor of l and u. 15 Let t = 61 + -46. Calculate the greatest common divisor of 3 and t. 3 Suppose 0*r + 56 = 4*r. Suppose 2*n + 3*n - 35 = 0. Calculate the highest common factor of n and r. 7 Suppose 0 = -2*c + 6*c - 360. Let t be 2/16 - (-572)/32. Calculate the highest common divisor of c and t. 18 Let w(v) = 2*v**3 - 2*v**2 - 2*v. Let r be 0 + (-1 + 5 - 2). Let y be w(r). Calculate the highest common factor of 6 and y. 2 Let y = 101 + -21. Calculate the highest common factor of 5 and y. 5 Let v(t) = 31*t**3 - t**2 + 2*t - 2. Let p be v(1). Calculate the highest common divisor of p and 6. 6 Let z(c) = -40*c. Let j be z(-1). Suppose y + 18 = 5*y + p, -20 = -2*y + 5*p. Calculate the highest common divisor of y and j. 5 Suppose -4*s + 718 = 70. Suppose 3*t + 30 = 84. Calculate the highest common factor of s and t. 18 Let g(j) = 3*j + 4. Let u be g(6). Let m = -15 + 17. Suppose -2 = -m*f + f. Calculate the greatest common divisor of f and u. 2 Let o = 273 - 73. Suppose -x - 2*k + 9 = -3*k, -5*k + 9 = 4*x. Suppose 2*b + o = x*q - 2*q, 2*q - 92 = -3*b. What is the greatest common divisor of q and 7? 7 Let d be ((-27)/15)/(4/(-20)). Suppose u - 4*u = -216. Calculate the highest common divisor of d and u. 9 Suppose -5*r + 563 = -d, -203 = -5*r + 4*d + 369. Suppose 44 = 5*i - i - 4*b, -4*i + 2*b + 54 = 0. What is the highest common divisor of r and i? 16 Let p(h) = -19*h + 1. Let k be p(-3). Calculate the greatest common divisor of 145 and k. 29 Suppose -6*x - x + 567 = 0. Suppose 3*t = -d + 22 + 2, 3*d - t = 22. Calculate the greatest common divisor of x and d. 9 Suppose 26*q + 96 = 512. Suppose 0 = -6*v + 2*v + 96. What is the greatest common factor of v and q? 8 Suppose -4*y = -5*y + 12. Let g be (20/y - 2)*-6. Calculate the greatest common factor of 10 and g. 2 Let d = 274 - -84. Suppose 0 = 4*k - 182 - d. What is the greatest common factor of 15 and k? 15 Suppose 5*m - 31 = 4*k + 10, -m + 2*k + 13 = 0. What is the highest common factor of 45 and m? 5 Let a(p) = p**2 - 5*p + 6. Suppose 0 = 3*s - 16 - 5. Let k be a(s). Let w(y) = -50*y. Let i be w(-2). Calculate the greatest common divisor of i and k. 20 Let x = -14 - -42. Suppose 13 + 35 = 12*l. What is the greatest common divisor of x and l? 4 Suppose -4*z + 72 = -4*o, -2*z = -o - 2*o - 41. Let l = 7 - z. Let c be 512/(-6)*l/4. What is the highest common divisor of 16 and c? 16 Suppose -4*m + 22 = 4*f - 3*m, -4*m + 16 = 4*f. Let x be (8 - 2)/((-3)/(-12)). What is the highest common divisor of f and x? 6 Let b(f) = -f**3 - 22*f**2 - 23*f - 31. Let k be b(-21). Suppose 5*h = 15, p - 3*h + 64 = 2*p. What is the highest common factor of p and k? 11 Let c(t) = t**3 + 5*t**2 - 7*t - 3. Let r be c(-6). Suppose 44 = 5*h + 2*q - 16, -r*q = 0. What is the greatest common factor of h and 12? 12 Suppose 5*w - 5*s - 275 = 0, -4*w - 3*s + 260 = s. What is the greatest common factor of w and 15? 15 Let c(t) = t**3 + t**2 - 1. Let m(y) = 7*y**3 - 3*y**2 - 8*y - 6. Let x(o) = 6*c(o) - m(o). Let d be x(8). Calculate the highest common factor of 16 and d. 16 Let i = -298 - -308. Let h be 4/(-8) + (-61)/(-2). What is the highest common divisor of i and h? 10 Suppose 18 = -4*y + 2*g, -3*g + 24 = -5*y - g. Let j = 0 - y. Let m(z) = 2*z. Let r be m(6). What is the greatest common divisor of r and j? 6 Suppose 0 = 31*u - 26*u - 20. Let k(i) = 5*i + 4. Let f be k(8). What is the highest common factor of u and f? 4 Suppose -3*h
{ "pile_set_name": "DM Mathematics" }
/(-1705) + 97/198 -1/18 What is the value of ((-6)/4 - (-5)/20*214)/4? 13 Evaluate -29 + 14 + -13 - -1. -27 What is (-13770)/(-765) - (41 + -3)? -20 What is (-1*5)/(30/108)? -18 What is (((-5)/(-4))/(1/4))/((-29550)/(-47280))? 8 ((-33)/45 + -1 + 2)*(-640)/256 -2/3 3 + -1 + 570/90*(-3)/9 -1/9 Calculate 6 + (-2)/8 + (-2115)/360. -1/8 What is the value of ((-52)/(-260))/(2/100)? 10 What is -2 - 1 - ((-679)/49 - (-29 + 18))? -1/7 ((-20)/25)/((-1)/17 - (-624)/1360) -2 Calculate (-260 - -268) + 4/21*(-83)/2. 2/21 What is (2/(-2) - -13)/(((-351)/26)/(-9))? 8 Evaluate (-1 + 19/3)/((-524)/786). -8 Evaluate 33 + (-558)/(-31) - 44. 7 What is (-36)/(-28) + 4/(-14) - (419 + -424)? 6 Calculate 2/(-4)*((-4220)/220 - -19). 1/11 Calculate 3*((-248)/310 - (-6)/10). -3/5 Calculate (-19 + 49 - 5) + -42. -17 What is the value of (-1)/5*(10/16 + 216/(-576))? -1/20 Evaluate (22 + -3 + -23)*(-2 - (-38)/8). -11 ((-1)/10)/(((-4)/30)/(3/(-9))) -1/4 95/19 + 9 + -12 2 ((-6)/24)/(33/(-12)) + (-273)/99 -8/3 What is 1/3*(-634)/10 - 50758/(-380685)? -21 (28717/(-846) - -30) + 5/((-5)/(-4)) 1/18 What is the value of 107793/1239*(-1)/(-3)? 29 What is (15/(-306) + 4/(-34))*(-4)/(-2)? -1/3 What is the value of ((2/(-7))/((-328)/13202))/((-1)/(-2))? 23 What is 6/(-21)*322/184*4/(-39)? 2/39 What is (405/63)/((-30)/(-126))? 27 What is 938/(-36) - (-548)/9864? -26 Evaluate 2 - (122/(-30) + 4*7/70). 17/3 ((-21)/(-14))/((2/(-14))/((-2)/(-7))) -3 Calculate ((-23606)/(-111))/58*-3. -11 Evaluate 12 - 2 - -3*(-15 + 13). 4 419 + -411 - (-220)/(-26) -6/13 What is the value of (2640/14)/(-11) - 5/(-35)? -17 What is 441/19845 - 38/90? -2/5 What is (-3 - (0 + (-87)/12)) + (-81)/324? 4 57/225 - 96/288 -2/25 What is the value of -17 + ((-158175)/(-252))/37? -1/28 ((-7)/(-21))/(70/(-21)) -1/10 Evaluate 40/(-45)*(-6)/24. 2/9 Evaluate 74/(-140) - (9 - 247/26). -1/35 Calculate ((-4)/(-5) - 478/(-8365))*(-2 + -26). -24 Evaluate ((2025/50)/27)/(6/(-8)). -2 What is the value of (48/(-2464))/((-19)/608) - (-2)/22? 5/7 What is (14/245)/1*(-10 - 15)? -10/7 Evaluate 54742/4545 + -11 + -1. 2/45 Calculate (78/(-2418) - (-2)/62) + 22. 22 What is the value of (-1)/(7 + (14 - (-930)/(-45)))? -3 (-1170)/165 - 1 - -8 -1/11 Evaluate (-814)/(-330) - 2 - 2/(-6). 4/5 What is the value of (665/(-760) - -1*1/(-8))*-19? 19 What is ((-198)/44)/((-3)/(-2))? -3 What is (-12)/(-8)*-6 - 60/(-7)? -3/7 Evaluate ((1720/(-15))/86)/((-22)/3). 2/11 Calculate ((-6)/(-9))/(-10 + 0 + 8704/960). -5/7 Evaluate 0 + 9 + -13 + 7. 3 (-7)/(-28) + -3 + (-696)/224 + 3 -20/7 -30 + 25 - (1/(-27))/(4/548) 2/27 (-17964)/(-25449)*68/(-6) -8 Evaluate (16 - 648/42) + 426/(-672). -1/16 What is (24/18)/((-16)/252)? -21 (-6)/7 + 96*6/378 2/3 What is the value of 3 - (-33 + 24 - 345/(-35))? 15/7 Evaluate (-16)/(-120) - (-965)/75. 13 What is -2 + (-40 + 28)/((-8)/(-6))? -11 What is (-430)/35 + 56/8 + 15 + -12? -16/7 What is 1/33*99/45 + 1/(-5)? -2/15 What is the value of (1 - (-18)/(-22))/((-16360)/(-22495))? 1/4 Evaluate 2/4 - ((-25)/((-750)/165) - -21). -26 -25*(-1)/(-45)*-9 5 What is the value of (-464)/(-310) + (-89)/((-7565)/(-119))? 3/31 (322/70 + 2 + -6)/((-9)/25) -5/3 What is (-80)/((-136)/17) + 7? 17 What is the value of 1/((-1)/(-4)) - -5*(-28)/40? 1/2 What is (6/(-21))/((-7)/15 + 45/(-225))? 3/7 What is 17*(-47)/(15980/420)? -21 (1 - (-4 + (-104)/(-20)))/((-50)/3250) 13 What is the value of (-13)/1 - 50/(-2)? 12 Evaluate 20/((-320)/24)*2. -3 What is the value of (2*(-1)/4)/(-68*(-5)/(-40))? 1/17 Evaluate -68 + 66 + (-660)/(-20). 31 Calculate 81/(-3) + (-29 - -42). -14 Evaluate 1/(-4) - 38/152. -1/2 What is the value of 30/52 + ((-276)/(-184))/(3/(-1))? 1/13 What is the value of 2*(7 - (-434)/(-28) - 7)? -31 Evaluate (-6358)/(-1160335)*2*(-10)/4. -2/73 (-1940)/873*(-36)/5 16 (-54)/(-135)*50/(-260) -1/13 What is 22/121 - (118/(-22))/((-68)/(-340))? 27 What is (-6)/14 + (-352)/77 + (-940)/(-180)? 2/9 What is -1 - 6 - -2 - 2304/(-504)? -3/7 Evaluate 402/33 + (41 - 53). 2/11 3/(54/(-4)) - (-244)/(-36) -7 Evaluate ((-749)/321)/(21/(-72)). 8 What is (-17 - (34 - 23)) + 52? 24 3/(7/(-1) + 0 - -6) -3 What is (-258)/1505*-1*(-20)/8? -3/7 Calculate ((-18)/50)/(102/(-510)). 9/5 What is (167/501)/(3/(-189))? -21 What is 20/(-60)*(0 + -3)? 1 What is ((-2)/(-3))/(-2 + 205/105)? -14 ((-726)/4719)/((-2)/91) 7 What is the value of 153/68 - 33/11? -3/4 Calculate ((-4025)/(-6325))/(1/11). 7 Calculate 274/(-30) - (306 + -279)*(-1)/3. -2/15 Calculate (14/10 - 0) + 2227/(-655). -2 Calculate 3/15 + 1156/(-1530). -5/9 What is 59787/6552 - 3*3*1? 1/8 ((-30)/(-7))/((-2500)/(-700)) 6/5 7 - (4 - (-856)/(-264))*9 2/11 What is (-109836)/(-4860) + 23/(-5)? 18 What is the value of 10/6 - 14652/9504? 1/8 Evaluate (-404)/(-1414)*((-3)/((-24)/172) + 3). 7 What is 206/14 + (-104)/(-364)? 15 What is ((-4)/(-10))/((-6463)/1405)? -2/23 Calculate (-204)/15 - 11*468/(-396). -3/5 Evaluate (315/2)/15*116/203. 6 Evaluate 4/(-13)*(-370 - -331). 12 Evaluate 8 - (68/102 + (-85)/(-12)). 1/4 Calculate (4/60)/(7 + 803/(-110)). -2/9 3/(-69) - ((-424080)/414)/31 33 What is the value of (10/95 - 4695/(-342)) + (-7)/(-42)? 14 ((-133)/(-19))/7 - 27/30 1/10 What is the value of (2 + (-34)/(-12) - (-905)/(-1086))/(-2)? -2 What is the value of 204/(-120)*156/1326? -1/5 Evaluate ((-15)/1155)/(4/22). -1/14 What is (-2 + -20 - 0)*12/(-264)*11? 11 Calculate 390/(-1144)*(-10)/25*4/3. 2/11 Calculate 1/(175/(-14) - -7)*(1 - 0). -2/11 What is the value of (-20)/110 - (786/33 + -4)? -20 Evaluate 5 - 20 - ((-396)/132 - (0 + -1)). -13 Evaluate (6/13)/(304/5928). 9 What is the value of 60*(-8)/12*(21/(-18) - -1)? 20/3 (-168)/70 - (17 + (-3178)/70) 26 What is 46/(-161) - 24*((-45)/(-42) - 1)? -2 (-48)/252 - (-48)/252 0 What is (-49)/((-1225)/(-300))*(-9)/(-4)? -27 What is (-5 - (-1 + 32/(-10)) - 0)*10? -8 What is 42/12*(2/21)/((-767)/(-78))? 2/59 Evaluate ((-18)/10 - 11/(-55))/((-30)/75). 4 (-16 - (-20 + 3)) + 5 6 34 + (-117)/45 + -38 -33/5 What is -32*(-4)/(161 + -17)? 8/9 What is the value of ((-14)/26)/(32 - 39)? 1/13 Calculate -4*(38/(-2) + (-3472)/(-217)). 12 (-3149)/517 + 21 - (-12)/11 16 What is (1 - -8)*(-6320)/(-5688)? 10 What is (-1 - -2 - 0)/((-164)/(-2788))? 17 3/81*6 - -1*(-119)/306 -1/6 What is the value of 21*((-46528)/(-2912) + -16)? -6/13 Calculate (-2)/4 - 0 - (5418/588)/(-43). -2/7 What is (-4 - (-1 - -1))/(12/(-18))? 6 What is the value of -14 + (-2870)/(-110) + 2 + 92/(-44)? 12 Calculate 264/33 - (2 - (7 + 1)). 14 Evaluate (3/15*(-4)/(-2))/((-12)/10). -1/3 Calculate 85/34*((-1232)/(-6840) + (-4)/18). -2/19 -8*(65/(-20))/(-13)*4 -8 What is the value of (((-10)/2)/(-25))/((-66)/(-40)*-4)? -1/33 What is (2/(-10))/(2184/(-2548)*(-3)/18)? -7/5 Evaluate (-273)/(-231)*4/26. 2/11 What is (-1 + 2)/((-265)/(-212))*10? 8 Calculate (3/5)/((-9)/17*(-51)/(-255)). -17/3 Calculate (2 - 4)*195/420*14. -13 Calculate -63 - 3078/(-72) - 14/8. -22 Evaluate -2*41/6 + (-96)/18 + 4. -15 (-3402)/(-1458) - (-1 - -1) 7/3 (16*10/40)/(16/36) 9 (-12)/11 - (-18460)/(-3124) -7 (102 + -103)/((-7)/(-49)) -7 What is the value of (4 + 26/(-6))*(-2 - (-22)/8)? -1/4 Evaluate 15*12/(-1620) - 190/(-9). 21 What is (9 - 5 - 32)*(-2)/(-8)? -7 Calculate (-8)/(-18)*144/160. 2/5 What is (23 - 33)*18/(-630)? 2/7 (-9 - (-24 - -32)) + 7 -10 What is (-9)/1 - (52/520)/((-4)/344)? -2/5 Calculate (-98)/(-21)*((-156)/(-1365))/((-44)/(-30)). 4/11 (5/(-3))/(390/(-364)) 14/9 Calculate (-4*3/(-3))/22. 2/11 Calculate 9/(45/(-35)) + 4 + -8*1. -11 Evaluate 59/((-31211)/8510) - -16. -2/23 What is 102/15 - 1 - (-5 - -11)? -1/5 (2 + 110/(-50))/((-1)/5) 1 What is 148/555*7/14 - (-4)/(-10)? -4/15 What is the value of 29/2 + 2 - -12*(-3)/(-24)? 18 Calculate 1*-1*(-152)/(-2812). -2/37 ((-269)/807)/(((-6)/75)/((-1)/5)) -5/6 Calculate 28/(-30)*(-9)/(-63). -2/15 Evaluate 40/(-96) + 0 + (-3 - 13/(-6)). -5/4 What is the value of 128/(-1008)*(-9)/12? 2/21 What is (19/(1064/(-16)))/(-1)*(50 - 1)? 14 Calculate -4*((-342)/60)/19. 6/5 What is the value of 3855/(-1542) - (-1)/2*17? 6 What is -294 + 316 + 2504/(-114)? 2/57 What is the value of ((-19)/950)/((-20)/80)? 2/25 (-190)/(20 + -1) - 2 -12 What is the value of (-52)/832*-428 + 7/(-4)? 25 396/297*((-19)/2 + 2) -10 Calculate 4/16 + ((-7497)/980)/(6/(-10)). 13 Evaluate 0 - 13 - ((-658)/21 - -18). 1/3 What is the v
{ "pile_set_name": "DM Mathematics" }
*o - 2112. What are the prime factors of x? 1583 Suppose y = -21 + 25. Suppose -b - y = 0, 8 = 2*k + 2*b + 2*b. Suppose -k*t = -8*t - 248. List the prime factors of t. 2, 31 Let c be ((-12)/8)/(4/(-8)). Suppose -c*d + 2*d + 387 = -2*z, d - 5*z - 372 = 0. List the prime factors of d. 397 List the prime factors of 3/(-7) + 716878075/17927 + (-8)/26. 2, 13, 769 Let h(y) = 1079*y**2 + 2*y - 15. Let a be h(-4). Let i be a/45 + (-4)/30. Let m = i + -242. List the prime factors of m. 3, 47 Let f = 7 - -235. Let o = 416 - f. List the prime factors of o. 2, 3, 29 Let q(b) = -77*b + 16. Let z = 13 - 8. Suppose -z*g = -5, 2*g + 5 = -3*k - 2. What are the prime factors of q(k)? 13, 19 Let s(r) = -5*r**2 + 4*r + 2. Let a = 54 + -52. Let z(u) = -4*u**2 + 5*u + 2. Let x(w) = a*s(w) - 3*z(w). List the prime factors of x(7). 47 Let u be (2031/(-15))/(9/(-45)). Let a = -51 + u. List the prime factors of a. 2, 313 Suppose -5*h - 5*u = -h - 1, -3*h - 3 = 5*u. Let f(p) = p**2 + p - 5. Let l be f(h). Suppose 19*z = l*z + 60. What are the prime factors of z? 3, 5 Suppose -9*v = 13*v - 457908. Suppose -16*g = -322 - v. List the prime factors of g. 1321 Let h = -210 + 212. Suppose l + 3338 = h*k - l, 0 = -3*l - 9. List the prime factors of k. 2, 7, 17 Let s = 79 + -77. Let q(h) = 137*h**2 - 271*h**2 - 6 + 136*h**s - 20*h. List the prime factors of q(16). 2, 3, 31 Let a(r) = 13*r**2 - r - 25. Suppose -7*n + 85 = 10*n. What are the prime factors of a(n)? 5, 59 What are the prime factors of (55/22*(-258)/(-30))/((-1)/(-3290))? 5, 7, 43, 47 Let j be ((-2)/3)/((-30)/(-45)). List the prime factors of (j + -3)/((-42)/35)*57. 2, 5, 19 List the prime factors of 854/488 - 70346/(-8). 5, 1759 Let z be (-4 + (0 - -4))/(-1 + 0). Suppose -10*l + 9*l + v + 19 = 0, z = -4*v - 16. List the prime factors of l. 3, 5 Suppose -5*t - m + 0*m = -295, 5*t - 5*m - 325 = 0. Let n = 9 + t. List the prime factors of n. 3, 23 Let b = -128 - 16. Let l = 785 - b. List the prime factors of l. 929 Suppose 41122 = 2*k + 4*z, -4*k - 3961 + 86217 = 2*z. What are the prime factors of k? 3, 5, 457 Suppose 9*m = 9364 + 4280. Suppose q = -z + 698 + 813, -2*q = z - m. List the prime factors of z. 2, 3, 251 Let o be ((-14743)/(-23))/((-1)/(-15)). Suppose 81 = 24*y - o. List the prime factors of y. 2, 101 Let t be 35/6 - (-4)/24. Let d(b) = b**3 - 6*b**2 + 4. Let v be d(t). Suppose v*y + 5*r + 50 = 717, -15 = -5*r. What are the prime factors of y? 163 Let s be 4*(-3)/(-30) + 36/10. Suppose -b + 928 = s*w, 2*w - b - 462 = -2*b. Suppose -2*x - r = -w, -3*r + 243 = 2*x - 0*x. What are the prime factors of x? 2, 3, 19 Let c(y) = -y**2 - 3*y + 12. Let d be c(0). Suppose -d = -9*z + 5*z. Suppose z*w - 165 = -0*w. What are the prime factors of w? 5, 11 Suppose 0 = -8*j - 102 - 306. Let y = -40 - j. What are the prime factors of y? 11 Let m(v) = 2*v**2 - 3 - 2 - 134*v - 3*v**2 + 123*v. What are the prime factors of m(-6)? 5 Suppose -20*f - 247 = -87. What are the prime factors of (-4 - (-8410)/5) + f? 2, 5, 167 Suppose 5*l + 5*v + 214 = -536, 5*l + 729 = 2*v. Let s = 411 + l. What are the prime factors of s? 2, 3, 11 Let g be 27*(16/3 - 4). Let a be (-15)/5 + (1 - -8). What are the prime factors of 1*3/a*g? 2, 3 Let z be (-80)/(-6 + 256/44). Let w = z + -79. What are the prime factors of w? 19 Let u be 1*(-2 + (-2 - -3)). Let f = -28 - u. List the prime factors of -5 - -3 - -3 - f. 2, 7 Suppose -4*f - 1522 = -3*z + 311, -4*z - f + 2463 = 0. Suppose 4*j - s = -1540, -4*s - 1023 - 923 = 5*j. Let b = z + j. List the prime factors of b. 229 Suppose 3*n - 2*z - 27398 = 0, -12*z + 15*z = -2*n + 18300. What are the prime factors of n? 2, 3, 1523 List the prime factors of 1*-7 + 131*(16 + (-5 - -3)). 3, 7, 29 Let l = -23 + 35. Let n(s) = 4*s**2 + 13*s - 23. List the prime factors of n(l). 709 List the prime factors of 2 - 0 - (-4 + 9) - -2275. 2, 71 Let p be (-4)/(-5) + 147/35. Suppose -r + 2*a + p = 0, -2*a + a = 2*r + 5. Let y(j) = -280*j**3 - 2*j**2 + 1. List the prime factors of y(r). 3, 31 Suppose -3*a + 5*l - 73 - 6 = 0, -2*a - 61 = 5*l. Let t be (-1)/(((-2)/4)/(a/(-8))). What are the prime factors of ((-6)/t)/(2/(-322)) + -2? 2, 17 Suppose 15*y - 2*w = 149165, -2*y + 19915 = 109*w - 104*w. List the prime factors of y. 3, 5, 13, 17 Let m = 210 - 201. Suppose -m*t = -14*t + 4*a + 7162, -3*t - 5*a + 4312 = 0. List the prime factors of t. 2, 3, 239 Let y(s) = 330*s + 10599. List the prime factors of y(-9). 3, 2543 Suppose -2*c + 65556 - 11214 = 7*c. List the prime factors of c. 2, 3019 Let g(q) = -4*q**3 + 2*q - 3. Suppose 3*v + 12 = h - 6*h, v = 2*h + 7. What are the prime factors of g(h)? 3, 11 Let u be (-6*1/1)/2. Let d be ((0 - u)/(-3))/(4/(-908)). Let v = -115 + d. What are the prime factors of v? 2, 7 Let g be 2445 - (11/22)/(1/(-2)). Suppose 356 = -5*v - 5*t + 4416, 3*v = -5*t + g. What are the prime factors of v? 3, 269 Suppose 5*y - 14 = 1. Suppose 0 = -2*q + p + 828, y*p = 5*p - 4. List the prime factors of q. 5, 83 Suppose -2*h + 6*s + 175 = 5*s, 0 = 5*h - 4*s - 430. Let t = h - -103. Let z = t - 36. What are the prime factors of z? 157 Suppose -29*y = -132512 - 454100. What are the prime factors of y? 2, 13, 389 Suppose 37 = 3*k + 8*s - 3*s, 2*k - 33 = -5*s. Let u be k + 3 + 8/(-2). Suppose u*q - 9*q + 114 = 0. What are the prime factors of q? 19 Let u = 7070 + 9209. What are the prime factors of u? 73, 223 Suppose -3*q + 774 = -3*d + 12, 777 = 3*q + 2*d. Let j = q + -127. What are the prime factors of j? 2, 5, 13 Let v(a) = 1697*a - 506. What are the prime factors of v(24)? 2, 7, 13, 17 Suppose -7*y = -3225 + 89. Suppose 0*k + 336 = 3*h + 2*k, -k = 4*h - y. What are the prime factors of h? 2, 7 Suppose -4*a + 249346 = 5*k, -3*k + 149631 = -345*a + 350*a. What are the prime factors of k? 2, 107, 233 Let w(i) = 35*i**3 + 5*i**2 - i - 1. Let f(r) = r**2 - 5*r + 1. Let z be f(-7). Let y = 87 - z. What are the prime factors of w(y)? 3, 11 Let l = 127 + -317. Let x(b) = -104*b - 2. Let o be x(1). Let m = o - l. List the prime factors of m. 2, 3, 7 Suppose -4*f + 1 + 3 = 0, -3*f - 51369 = -3*b. What are the prime factors of b? 2, 3, 1427 Suppose 0 = 56*v - 52*v - 12204. Suppose -c = 5*q + 3847, -3*c = 4*q + 20 + v. List the prime factors of q/(-15) + 3/(-9). 3, 17 Let y(p) = -p**3 + 2*p**2 + 11*p - 5. Let s be y(4). Suppose 0*m = s*m - 343. Let a = m + -36. What are the prime factors of a? 13 Let p = -383 + 373. Let v = p + 580. List the prime factors of v. 2, 3, 5, 19 Let w be (-2 + 1 - 0)*-257. Suppose -247*n = -w*n + 6840. What are the prime factors of n? 2, 3, 19 Let k(l) = 144*l**2 - 38*l - 480. List the prime factors of k(-9). 2, 3, 17, 113 Let u(v) = 2241*v + 1046. What are the prime factors of u(8)? 2, 53, 179 Let b = 198 + 15841. What are the prime factors of b? 43, 373 Let s(k) = -6*k - 29. Let t be s(13). Let g = 105 + t. Let n(u) = -5*u**3 + 5*u + 4. What are the prime factors of n(g)? 2, 17 Suppose 82*g = 86*g - 16. Suppose -g*z + 2*v = -10, 4*z + 4*v - 45 = -z. Suppose -4*m + 221 = -3*w, -3*m - z*w + w + 172 = 0. What are the prime factors of m? 2, 7 Suppose 3*q - 25 = -h, -3*h + 27*q - 28*q + 115 = 0. Suppose 5*p - h*w = -41*w + 5045, 0 = 5*p + 4*w - 5045. What are the prime factors of p? 1009 Let o = 44008 + 43788. What are the prime factors of o? 2, 47, 467 Let j = -103 - 364. Suppose 4*m + 1159 = -3*g, -2*m + 3*g - 4*g - 581 = 0. Let c = m - j. What are the prime factors of c? 5, 7 Let x be 1060 + (2 + -5)/3. Suppose 3*g = -5*i + x, -4*i - 5*g + 686 + 169 = 0. Let n = -83 + i. What are the prime factors of n? 127 Suppose 52744 = 8*c - 9496. What are the prime factors of c? 2, 5, 389 Let v = 9588 + -8009. List the prime factors of v. 1579 Let v(g) = -5*g**3 + 3*g**2 + 6*g + 12. Suppose -7*t - 30 = -9. What are the prime factors of v(t)? 2, 3, 13 Let v(m) = -262*m - 5332. List the prime factors of v(-105). 2, 13, 853 Let w = -2786 - -17474. What are the prime factors of w? 2, 3, 17 Let c = 88212 + -49196. List the prime factors of c. 2, 4877 Let n(d) = -d**2 - 5*d - 4. Let t be n(-4). Suppose c + t*c = 4*v + 18, c - 13 = 3*v. What are the prime factors of (18/(-12))/(c/76)? 3, 19 Suppose -2*q + 7*q = -2*p + 52, 5*p + 80 = 5*q. Let m be (-31)/(-5) - q/60. Suppose -149 = 2*x - m*x - 3*l, -x - l + 3
{ "pile_set_name": "DM Mathematics" }
3*b - 18 = 0. What is the tens digit of i? 3 Let t(b) = -2220*b**3 - 9*b**2 - 36*b - 36. What is the thousands digit of t(-3)? 9 What is the units digit of ((-12926)/299)/(2/(-13))? 1 Suppose 8061 = -70*a + 73*a. Suppose 11*l = a + 3506. What is the units digit of l? 3 Suppose 51*f - 420432 = -25*f. What is the hundreds digit of f? 5 Suppose 0 = 2*g - v - 4, 2*g + 3*v - 20 = -0*g. Let b = -3544 + 4532. Suppose -d = x - 203, -4*d - d + b = -g*x. What is the tens digit of d? 0 Suppose 5*k = -5*t + 23379 + 91891, k - 23079 = -6*t. What is the thousands digit of k? 3 Let c = 10447 - 9727. What is the tens digit of c? 2 Suppose 0 = -1267*n + 1263*n + 3900. What is the units digit of n? 5 Let u(l) = -2*l + 7. Let a be u(4). Let i be 42/6 + (-3 - a). Suppose i*r - 4*r - 81 = 0. What is the tens digit of r? 8 Suppose 0 = 309*q - 791*q + 24194472. What is the tens digit of q? 9 Suppose -145*j = -279775 - 122165. What is the thousands digit of j? 2 Let u be ((-12)/(-7))/(-1)*7. Let t(b) = -b - 3. Let p be t(u). Let i(r) = r**2 - 9*r + 17. What is the tens digit of i(p)? 1 What is the thousands digit of 1/(-4) + ((-253125)/(-36) - 1)? 7 What is the thousands digit of (-44)/55 + (-39)/(-273) + (-401823)/(-35)? 1 Let i(a) be the third derivative of -11*a**4/4 - 16*a**3/3 - 54*a**2. What is the hundreds digit of i(-6)? 3 Suppose 0 = 15*m - 14*m + 15. Let l be m/(-30)*(-490 - (-1 + 1)). Let k = l + 386. What is the units digit of k? 1 Suppose -4*g = -4*k - 148147 + 375159, 4*k + 5*g - 227012 = 0. What is the thousands digit of k/38 + ((-45)/6)/3? 1 Suppose -28*p - 660160 = -58*p - 50*p. What is the hundreds digit of p? 2 Let f(q) = 24*q**3 - 21*q**2 - 27*q + 4. What is the thousands digit of f(10)? 1 Suppose -4*p + 40*k + 178195 = 41*k, -133613 = -3*p + 4*k. What is the units digit of p? 7 What is the hundreds digit of 4656/10*(-5850)/(-260)? 4 Let d(r) = 27*r - 25. Let w = 21 - 6. Suppose -20*y + w*y = -35. What is the tens digit of d(y)? 6 Suppose 0 = 2*j - 5*x - 6028, 0 = -3*j - 233*x + 232*x + 9042. What is the hundreds digit of j? 0 Let o(n) = 7148*n - 86. What is the thousands digit of o(3)? 1 Let j(u) be the third derivative of u**5/30 - u**4/4 - 8*u**3/3 - u**2. Suppose -17*y = 44 + 41. What is the tens digit of j(y)? 6 What is the units digit of (-6)/(-30)*(35 - -4080)? 3 What is the tens digit of 9 + 9286 + (0 - -6)? 0 Suppose 26*p - 1306408 - 405968 + 387000 = 0. What is the tens digit of p? 7 Let u be (0/(24/(-6)))/1. Suppose u*r - o = r - 133, 0 = -4*r - o + 538. What is the units digit of r? 5 Let x = 125 - 125. Suppose x = 6*p - 511 - 1151. What is the tens digit of p? 7 Let v be 1/(5/80*-2). Let p(h) = -22*h - 40. Let x be p(v). Suppose -l = 5*k - 50, -4*l - 5*k - 11 + x = 0. What is the units digit of l? 5 Let o be (-2 - -1) + (2478 - -8). Suppose 1051 + o = 8*q. What is the units digit of q? 2 What is the tens digit of 550800/275 - 1/(-11)? 0 Let g be (1 - 0)*(3 + 0). Suppose 0 = -3*n + 3*m + 3, 1 = -g*n + 3*m + m. Suppose -n*u + 420 = -u - 4*x, 4*u - 418 = 2*x. What is the units digit of u? 4 Let p be (-5)/(-30)*-2*-6. Suppose 0 = p*m + 8 - 4, 18 = 2*o + m. What is the units digit of o? 0 Let s(h) = -14*h + 552. What is the units digit of s(-6)? 6 Let b(m) = -m**2 - 13*m - 12. Let l be b(-12). Suppose l = -10*a + 716 + 104. What is the units digit of a? 2 Let w(z) be the first derivative of -z**2 + 9*z + 6. Let n be (-49)/3 - 4/6 - 1. What is the tens digit of w(n)? 4 Suppose 0 = -5*w - 5*y + 65, w + 2*y - 3 = 13. Suppose -9 = -3*d, -w*u + 3609 = -5*u + 3*d. What is the units digit of u? 0 What is the units digit of ((-274)/(-8)*2)/((-2)/(-144))? 2 Let l(v) = -1 + 2*v + v + 95*v**2 - 4*v + 0*v. Let g be l(-1). Let c = -7 + g. What is the units digit of c? 8 Let i = 6122 - -4892. What is the hundreds digit of i? 0 Let m = 208 - -96. Suppose 10*u - 8*u = m. What is the units digit of u? 2 Let x(j) = -16614*j + 3569. What is the thousands digit of x(-2)? 6 Suppose 38 = -2*a + 54. Suppose 84 = -a*c + 148. What is the units digit of c? 8 Let t(c) = 13*c + 36. Let b be (8 - 5)*(20/6 - 0). Suppose -3*o + 4*y = -b, o - 1 = y + 3. What is the tens digit of t(o)? 1 Let w = -9931 - -11085. What is the units digit of w? 4 Let b be 8 + (-9)/(54/42). What is the hundreds digit of (72*-1)/(((-18)/99)/b)? 3 Let j = -226 - -292. Let f = 603 + j. What is the units digit of f? 9 Let b be -26 - (2/2 + 0/2). Let x(r) = -r + 50. What is the tens digit of x(b)? 7 Let g be (-3)/(-1 - 4/(-10)). Suppose n = 0, 10 = g*x - 0*x + 3*n. Suppose 0 = x*d + 5*d - 329. What is the tens digit of d? 4 Let d(u) = u**2 + 15*u - 33. Let g be d(-16). Let j = g - -21. Suppose 252 = j*t + c, 5*t - c - 449 + 134 = 0. What is the units digit of t? 3 Let o(l) = l**3 + 3*l**2. Let n be o(-3). Suppose 24 = -n*d + 12*d. Suppose 440 = 4*t - p, -2*t = -d*p - 9 - 211. What is the tens digit of t? 1 Suppose -2*o - 3*u - 181 = 0, -u = -4*o + 4*u - 373. Let f = o - -177. What is the tens digit of f? 8 Let s be ((-44)/176)/((-2)/16). Suppose -13 - 23 = -4*x + a, -x + 9 = 4*a. Suppose x = -s*t + 217. What is the hundreds digit of t? 1 Suppose 6*i = -26 - 10. What is the units digit of ((-998)/i)/(9/27)? 9 Suppose -5*z - 2*n - 3 = -n, -5*z + 3 = -n. Suppose 1835 = -z*j + 5*j. Suppose -621 = -5*o - x, 3*o + x = -x + j. What is the units digit of o? 5 Let h(l) = 17*l**2 - 3*l - 10. Let j be h(8). Suppose 4*n + 3*i = j + 58, 4*i = 0. What is the hundreds digit of n? 2 Suppose 10*z = -761 - 2809. Let o be ((-88)/(-6))/((-2)/(-72)). Let d = o + z. What is the hundreds digit of d? 1 Let k(a) = 6*a**2 - 112*a - 6252. What is the units digit of k(-43)? 8 Let r(k) = 3160*k + 937. What is the units digit of r(4)? 7 Let h = -37 + 39. Suppose -5*w - 4*z = -9, -4*w + 0*z + 12 = h*z. Suppose w*f = 5*s + 465, 3*s = -0*f + f - 85. What is the units digit of f? 7 Let y = -37256 + 55317. What is the thousands digit of y? 8 Suppose 0 = 343*b - 350*b + 147. Suppose b*i - 27*i = -6834. What is the tens digit of i? 3 Let h = 137 - 105. Suppose 5*f + 2*o = -27, 2*o - h = 4*f + o. Let r(d) = d**3 + 7*d**2 - 4*d - 2. What is the units digit of r(f)? 6 Suppose -21424 = -9*k - 4*k. Suppose 7*l = 5*l + k. Suppose -5*i + 4*z = -l, -4*z - 96 = -i + 72. What is the units digit of i? 4 What is the tens digit of (-3)/9*5*(4 - (-660535)/(-25))? 2 Let o(h) = 13*h**3 - h**2 + 3*h - 1. Let w be o(1). Let m(b) = -b + 17. Let v be m(w). Suppose 4*q = -p - v*p + 52, -4 = -q. What is the units digit of p? 9 Let a be 147/14*60/21. Let w(g) = g**2 - 31*g + 81. What is the units digit of w(a)? 1 Let b be -8*(-39)/(-52)*4/6. Let g be (-1 + 218/b)/((-33)/22). Suppose 3*r - g - 20 = 0. What is the tens digit of r? 1 Suppose 230 = 21*k - 1. Suppose -17078 - 3998 = -k*r. What is the hundreds digit of r? 9 Let l(k) = -67*k - 95. Let v be l(-6). Suppose -299*f = -v*f + 824. What is the hundreds digit of f? 1 Let h = 6403 - -8426. What is the hundreds digit of h? 8 Let i(y) = 3*y + 36. Let s be i(11). Let j = 73 - s. What is the units digit of j/(-16) + 234/8? 9 Let b be (-120)/72*9/(-5). What is the hundreds digit of (8/12*b)/2 + 465? 4 Let s = -97 + 100. What is the tens digit of 300 - (6/s - (6 - 6))? 9 Let g(d) = -d**2 + 4*d + 1. Let t be g(3). Let j(u) = -2*u. Let h(l) = -2*l**3 + 7*l**2 - 4. Let k(q) = -h(q) - 2*j(q). What is the tens digit of k(t)? 3 What is the tens digit of 0 - (1 + -4) - 65076/(-17)? 3 Let c(z) = -z**3 - 2*z**2 + 67*z + 15534. What is the units digit of c(0)? 4 Let m(v) be the second derivative of -v**4/12 - 35*v**3/6 + 89*v**2/2 + 131*v. What is the hundreds digit of m(-26)? 3 What is the units digit of ((0 - -2)*246/4)/(67/40133)? 7 Suppose -156*d + 1550304 = -9*d + 342111. What is the hundreds digit of d? 2 Suppose -13*b = -19 + 19. Suppose -q + 3*f + 201 = -319, b = -4*f + 8. What is the units digit of q? 6 Suppose 3*a - 69549 = 3*d, 16*d - 69501 = -3*a + 11*d. What is the tens digit of a? 7 Suppose 0 = -9*f + 603 - 54. What is the units digit of (f - 37) + 1 + -3? 2 Let y(u) = -48*u**3 + 9*u - 4 + 25*u**3 + 22*u**3 - 9*u**2 + 1. Let m be y(-10). What is the tens digit of (-4)/2*(226/(-4) - m)? 2 Let w(v) = 68*v - 21. Suppose -2*r - 9 = 5*g, 2*r = -0*r - 2*g. Let h be w(r). Suppose -j + h = 4*p - 2*p, -4*p - 5*j
{ "pile_set_name": "DM Mathematics" }
Simplify 3 + 1*(-5 + 6*(sqrt(245) + -1) - (((sqrt(405) - -2*sqrt(405))*5)/sqrt(9))**2). -10133 + 42*sqrt(5) Simplify ((-3*sqrt(132)*1)/(sqrt(192)*4))**2 - (sqrt(132) + 4*(sqrt(132) - sqrt(132)*1))/(2*sqrt(432)). -sqrt(11)/12 + 99/256 Simplify (-5 + (-2*sqrt(162)*2 + 2 + sqrt(4)/sqrt(18))*2)**2. 428*sqrt(2)/3 + 91601/9 Simplify (sqrt(192) + -1 + sqrt(243)*-3)**2*-3 + (sqrt(648)*1 - sqrt(18))/(sqrt(600)*3). -3252 - 683*sqrt(3)/6 Simplify -4 + (sqrt(234)/(-2*sqrt(6)))/(sqrt(3) - (2*sqrt(24))/sqrt(8))*-4 + 0 + -4. -8 - 2*sqrt(13) Simplify -5 + 3 + -1 + 4*(sqrt(76)*-2 + 1)**2. -32*sqrt(19) + 1217 Simplify 5*(-2 + (sqrt(1573) + (0 + sqrt(1573))*-4)**2 - (-3*-1*sqrt(104))/((sqrt(392) - 1*sqrt(392)) + sqrt(392))). -15*sqrt(13)/7 + 70775 Simplify -4 + ((sqrt(13) - sqrt(91)/sqrt(7)*-3) + (sqrt(832) + 3 - sqrt(832) - sqrt(832) - sqrt(13)))**2 + sqrt(832) + ((-2 + sqrt(832))*-5)**2 + 3. -822*sqrt(13) + 21233 Simplify (2*(0 + sqrt(2) + -3) - ((sqrt(128) - (2*sqrt(128))**2) + -2)) + -4 + sqrt(14)/(sqrt(28) - (-1*sqrt(28) - sqrt(28) - sqrt(28))) + -3. -47*sqrt(2)/8 + 501 Simplify (-4 + -5*((sqrt(153) + (-1*sqrt(153) + sqrt(153))*-4)**2 - sqrt(153)) - (-2*(-1*sqrt(153)*-5 + sqrt(153))*2)**2)*6. -533382 + 90*sqrt(17) Simplify 5*(1*(sqrt(14)*-1)/sqrt(7) + (sqrt(50) + 2 - (1 + sqrt(8))))*4. 20 + 40*sqrt(2) Simplify (2*((sqrt(171) + sqrt(171)*-1)/sqrt(9) + 0)*-1)**2 + -4 + sqrt(95)/sqrt(5) + 5 + 2 + sqrt(684) + sqrt(19). 3 + 8*sqrt(19) Simplify (5 + sqrt(891)*1*-3 - ((sqrt(132)*-2 - sqrt(132))*-2 + sqrt(132))/(sqrt(12) - sqrt(72)/(sqrt(6)*-1)))**2. -305*sqrt(11) + 41031/4 Simplify (sqrt(156)*2 + sqrt(156))/sqrt(12)*-4*4*-2 + (sqrt(26) - (2*sqrt(208) - sqrt(208))/sqrt(8))/(-1*sqrt(8) - sqrt(8)). 96*sqrt(13) Simplify ((4*(4*2*sqrt(300) + sqrt(300)))/((-1*sqrt(4200))/(sqrt(7)*1*2)))**2. 2592 Simplify (sqrt(44) + -4 - (sqrt(22)*-1)/sqrt(2)) + -1 - (3 + ((sqrt(99) - (sqrt(99) - (-1*sqrt(99) + sqrt(99))))*5)/(sqrt(9)*-2*-1)). -8 + 3*sqrt(11) Simplify ((sqrt(960)*-1 - (sqrt(540)*-2 - sqrt(15)))*-1)/(3*(sqrt(3) + sqrt(21)/sqrt(7) + sqrt(3))*5*2). -sqrt(5)/18 Simplify ((sqrt(88) - ((sqrt(88) + (-2*sqrt(88) - sqrt(88)))*-6 - sqrt(88)))/(sqrt(8) + 6*sqrt(72)))**2 - (-4 + (1*sqrt(77)/sqrt(7))**2*1). -1427/361 Simplify (sqrt(165)/(sqrt(9)/sqrt(3)) + sqrt(1980) + -1*sqrt(1980))/((sqrt(5) - (sqrt(5) + (sqrt(5)*1 + sqrt(5))*-4)) + -3*sqrt(605)). -sqrt(11)/25 Simplify (sqrt(2057) - (sqrt(2057) - (-6*(sqrt(2057) - (3 + sqrt(2057))))**2) - (sqrt(2057) + -2 + -1)**2) + (sqrt(2057)*1 + 3 - (sqrt(2057) + 3 + -5))**2. -1717 + 66*sqrt(17) Simplify (-1*((sqrt(468) - -3*sqrt(468)) + -4))**2*3 + 1*(3*(sqrt(468) - 5*sqrt(468) - sqrt(468)) + -1)**2. -396*sqrt(13) + 127813 Simplify 5*sqrt(500)*2 + -5 + sqrt(5) + sqrt(5) + -2 + sqrt(80) + (sqrt(500) + 0)**2. 106*sqrt(5) + 493 Simplify (sqrt(80) - (4 + sqrt(80) + (sqrt(80) + 0 + sqrt(80) - sqrt(80))**2)) + (3 + sqrt(80) + 0 - sqrt(80)) + (-6*sqrt(135)/sqrt(3))/(sqrt(36) + sqrt(576)). -81 - 3*sqrt(5)/5 Simplify 6*2*(5 + (1 + sqrt(11) + 3 - ((1*sqrt(121) + sqrt(121))/sqrt(11))**2))*2*-5. -120*sqrt(11) + 4200 Simplify -3 + (sqrt(152)*-1*1)/(3*sqrt(8)*-2) + 4*((sqrt(190) + sqrt(190) + sqrt(190)*2)*-6 + sqrt(190))/(-2*(sqrt(160) - sqrt(10))). -3 + 31*sqrt(19)/2 Simplify (3*(2 + -4 + -1 + -1 + (sqrt(700)*2 - sqrt(700)) + (sqrt(700) + -1 + sqrt(700) + sqrt(700) + 5)*4))**2. 28080*sqrt(7) + 1065996 Simplify (-4 + (3*(sqrt(630) - (sqrt(630)*1*5 - sqrt(630))))/(sqrt(70)/(1*sqrt(1008))))**2. 2592*sqrt(7) + 734848 Simplify 2 + 1 + (sqrt(3)*-1 + 0)**2 + (-3 + sqrt(48))**2 + 1 + 0. -24*sqrt(3) + 64 Simplify (2*(3 + (4 + 1*sqrt(448) - (-1 + (sqrt(448) - ((2*sqrt(448) - sqrt(448)) + sqrt(448) - sqrt(448))))) + -5 + (-1 + sqrt(448))*4 + -5))**2. -1920*sqrt(7) + 44944 Simplify (((sqrt(550) - 1*sqrt(550))*3)/(sqrt(44)/sqrt(4)*6))/(6*sqrt(160)*2 - sqrt(160)*-2*-4). 0 Simplify ((-3 + 3 + sqrt(1008) + sqrt(252)*3 + 5)*-5*6)**2*-4. -22770000 - 1080000*sqrt(7) Simplify (4 + (sqrt(32)/(2*sqrt(2)) + (-2*sqrt(112) - sqrt(112) - sqrt(112))/sqrt(7))/(((sqrt(64) + -1*sqrt(64))*-4 + sqrt(64))/sqrt(8)))**2. -28*sqrt(2) + 81/2 Simplify -6*(-4*2*sqrt(170) + -1*(sqrt(170)*1 - sqrt(170)))/((sqrt(1210) + sqrt(1210) + 2*(sqrt(1210)*1 - sqrt(1210)) - sqrt(1210)) + sqrt(1210)*-1*2). -48*sqrt(17)/11 Simplify -3*2*sqrt(117)*1*5 - (sqrt(52)/(sqrt(484)*-2) + (-1 + sqrt(26)/sqrt(2) - (sqrt(13) - (-1 + sqrt(1300) + sqrt(13))))**2). -1577 - 1011*sqrt(13)/22 Simplify (-1*(4 + -5*(sqrt(13) + 1) + sqrt(52)/(sqrt(4)*-1) + -1 + (sqrt(13) - (sqrt(13) - ((-6*(sqrt(13) + 0) - sqrt(13)) + sqrt(13))))))**2. 48*sqrt(13) + 1876 Simplify (-1*2*sqrt(136) + sqrt(136) + -5*-3*sqrt(136))/((sqrt(128)/sqrt(8))/sqrt(2) + -2*sqrt(32)). -14*sqrt(17)/3 Simplify ((sqrt(500)*-6 + -4 - sqrt(500))*3 + -2 + 3 + (sqrt(500) - (sqrt(500) + -2)))**2*1. 3780*sqrt(5) + 220581 Simplify (-1 + (1*sqrt(891) + sqrt(891) + -5 - (-3 + 2*sqrt(891) + sqrt(891)) - (-1*sqrt(891) + sqrt(891) + 3 - (1*sqrt(891)*6 + sqrt(891))))*-6 + -3)**2. -16848*sqrt(11) + 1155412 Simplify -3*(1*((sqrt(187) - sqrt(187)*3)*5 + sqrt(187)))/(sqrt(539)*1*1). 27*sqrt(17)/7 Simplify (-1*((sqrt(3200) - (sqrt(3200) - (2 + 1*sqrt(3200)))) + (3 + 0 + sqrt(3200) - sqrt(3200)) + 2))**2. 560*sqrt(2) + 3249 Simplify 2*(1 + 3*sqrt(396)*-1 + sqrt(396) + (-4*(sqrt(396) + -2))**2 + 2). -792*sqrt(11) + 12806 Simplify 0 + ((sqrt(528) - 3*sqrt(528))*-3 + (sqrt(528) - -3*(sqrt(528)*3 + sqrt(528) - sqrt(528))))/(-6*-2*sqrt(539)*2). 8*sqrt(3)/21 Simplify (sqrt(180)*-1 + (-5*-1*sqrt(20) - sqrt(20)))/(sqrt(400)*2*-5*-2). sqrt(5)/200 Simplify 0 + (2*(1*sqrt(78) + sqrt(78)) + sqrt(78) - (sqrt(78) - (sqrt(78) + 5*(sqrt(78) + sqrt(78) + 2*sqrt(78)))))/(5*(sqrt(216)*-3 - sqrt(6))) + -4. -4 - 5*sqrt(13)/19 Simplify -2*(4*(sqrt(126)*3)/sqrt(3))/(-3*(sqrt(24) - sqrt(6)) - (2*sqrt(12)/sqrt(2) + sqrt(6))). 4*sqrt(7) Simplify (5*(sqrt(441) - 4*-3*sqrt(441)))/(5*(-5*(sqrt(63) + sqrt(126)/sqrt(2)) + sqrt(63) - sqrt(63))). -13*sqrt(7)/10 Simplify (-6*(4 + (sqrt(243) - (sqrt(243) - (sqrt(243) + -2 + sqrt(243))))) + 5 + 2 + sqrt(243) + 0 + sqrt(243))**2*2. 1800*sqrt(3) + 48650 Simplify (2*sqrt(297)*-5*-6)/(sqrt(33)/((sqrt(9) + sqrt(36)/sqrt(4) + sqrt(9))/sqrt(3))). 540*sqrt(3) Simplify (-3*(((sqrt(450)*-1 - sqrt(450))/sqrt(9))/sqrt(10) - (0 + (sqrt(245) - sqrt(245)*-2))))**2 + 4 + 4. 23813 Simplify (4 + 5 + 4*((-1 + sqrt(704))*-6 + 4) + -2 + 1)**2. -18432*sqrt(11) + 407808 Simplify ((sqrt(6) - (-5*sqrt(6)*1 - sqrt(6)))/sqrt(3)*2 - ((-4 + (sqrt(72) - sqrt(2)))**2 - sqrt(2) - -3*sqrt(16)/sqrt(8)))*-6. -312*sqrt(2) + 396 Simplify (sqrt(50)/(-3*sqrt(40)) - ((sqrt(165)/sqrt(3))/sqrt(11) + 3)) + (1*sqrt(180) + -5 + -1 + sqrt(180) + 1 + sqrt(180))**2*5. -5407*sqrt(5)/6 + 8222 Simplify (sqrt(153)*2*-5 - -4*sqrt(153)*-5)/(-5*(sqrt(9) - (sqrt(9) + sqrt(81)))*3*5). -2*sqrt(17)/15 Simplify (-6*(4*(1 + 3*sqrt(320) + 4 + sqrt(320))*4 + 1 + -5))**2. 2801664*sqrt(5) + 47393856 Simplify ((sqrt(99)*-5 - 6*sqrt(176) - (5 + (sqrt(275) - (-1 + sqrt(275))) + sqrt(275))) + ((sqrt(99) + -1*sqrt(99))*-6)/(sqrt(576)*3))**2. 528*sqrt(11) + 21332 Simplify (4 + 2 + sqrt(11) - (1*sqrt(11) + 4))*-5 - (-2 + ((sqrt(539) + 4*(sqrt(539) + -1))**2 + sqrt(539) - 3*(1 + sqrt(539)))). -13496 + 294*sqrt(11) Simplify 6*((1*(sqrt(99) + 0) + 1 - ((sqrt(99) - (1 + 2*sqrt(99))**2) + 3 + (2*sqrt(99) + sqrt(99))**2)) + 1). -2970 + 72*sqrt(11) Simplify (6*(-4*(sqrt(200) + sqrt(200) + 1) + sqrt(200) - (sqrt(200) + -1)*-2 - (3 + sqrt(200)*4)*-3))**2. 15120*sqrt(2) + 353124 Simplify (sqrt(12) + sqrt(1200)*-2 - sqrt(84)/sqrt(28))/(sqrt(96)*2 + (sqrt(48)/sqrt(2) + sqrt(24))/sqrt(4)). -39*sqrt(2)/20 Simplify (-5*(-2*sqrt(192)*4 - sqrt(192))*-2 - (-5*(sqrt(192) + sqrt(192) + 2 + sqrt(192) + sqrt(192)) - (sqrt(192) - (sqrt(192) - -4*sqrt(192))*-1)))**2. -10240*sqrt(3) + 786532 Simplify (sqrt(156)/(sqrt(24)/sqrt(4)))/(sqrt(8)/sqrt(4)*-2) + (sqrt(1872) + -2 + (-2*sqrt(1872))**2 - (sqrt(1872) - 6*(sqrt(1872) + 1))). 143*sqrt(13)/2 + 7492 Simplify -5 + (((1*sqrt(171) - sqrt(171))*2 - (sqrt(171)*1 + sqrt(171) - sqrt(171))*-1)*-1)/(5*sqrt(18)/sqrt(2)*-3*-4). -5 - sqrt(19)/60 Simplify 5 + 4*(((-5 + sqrt(605) + sqrt(605) - sqrt(605)) + -5 - sqrt(605))*1 + 0 + 4). -19 Simplify ((1 + sqrt(117) + -1 - sqrt(117) - (1 + sqrt(117) + 0) - sqrt(117)*2*-5*2)
{ "pile_set_name": "DM Mathematics" }
rom mmmwwm. 1/15 Calculate prob of picking 1 d and 1 h when two letters picked without replacement from {r: 1, d: 10, h: 6}. 15/34 Four letters picked without replacement from xxssxxsxxxpxxxp. What is prob of picking 2 p and 2 s? 1/455 What is prob of picking 1 d and 1 h when two letters picked without replacement from jhhhdhjhdjjjhjjjhj? 14/153 Four letters picked without replacement from {n: 4, b: 3}. What is prob of picking 4 n? 1/35 What is prob of picking 1 f, 2 k, and 1 r when four letters picked without replacement from {c: 2, r: 6, f: 3, k: 4, n: 3}? 3/85 Two letters picked without replacement from ovovo. What is prob of picking 1 o and 1 v? 3/5 Calculate prob of picking 2 l and 1 v when three letters picked without replacement from {v: 4, e: 5, l: 3, x: 7}. 4/323 Three letters picked without replacement from {l: 3, y: 1, f: 6, v: 1, g: 3, u: 6}. Give prob of picking 1 y, 1 g, and 1 l. 3/380 Three letters picked without replacement from {k: 1, r: 4, z: 8}. Give prob of picking 3 r. 2/143 Calculate prob of picking 1 u and 2 a when three letters picked without replacement from {f: 2, l: 2, u: 4, a: 2, y: 2, k: 7}. 4/969 Three letters picked without replacement from {q: 1, g: 3, m: 5}. What is prob of picking 2 g and 1 q? 1/28 What is prob of picking 1 z and 1 t when two letters picked without replacement from {z: 8, t: 3}? 24/55 What is prob of picking 3 u when three letters picked without replacement from {l: 5, u: 15}? 91/228 Four letters picked without replacement from qmeq. Give prob of picking 4 e. 0 Calculate prob of picking 1 m and 1 l when two letters picked without replacement from qdzmlqm. 2/21 What is prob of picking 1 d and 1 c when two letters picked without replacement from {c: 4, v: 2, o: 6, d: 1, z: 4}? 1/34 What is prob of picking 1 u, 1 y, and 2 m when four letters picked without replacement from jjdjrduuummdyuu? 1/273 Three letters picked without replacement from oooovooooooooooooo. Give prob of picking 2 o and 1 v. 1/6 Calculate prob of picking 1 c and 2 e when three letters picked without replacement from {a: 2, j: 4, e: 3, c: 1, l: 9}. 1/323 Calculate prob of picking 3 l when three letters picked without replacement from {f: 2, l: 6, s: 5}. 10/143 What is prob of picking 1 h and 3 r when four letters picked without replacement from {o: 1, u: 2, h: 1, d: 2, r: 6}? 4/99 What is prob of picking 2 b and 1 t when three letters picked without replacement from {j: 1, d: 5, w: 1, t: 3, k: 1, b: 6}? 9/136 What is prob of picking 1 a, 1 d, and 2 o when four letters picked without replacement from {a: 1, g: 1, h: 2, o: 6, d: 2}? 2/33 Three letters picked without replacement from xlxxmeldddlldllxsmdl. What is prob of picking 1 m and 2 l? 7/190 Four letters picked without replacement from bybyfyfbfyyyyyby. Give prob of picking 2 b, 1 f, and 1 y. 81/910 Calculate prob of picking 1 m and 1 q when two letters picked without replacement from szmooosuzmqmuzmooumm. 3/95 Calculate prob of picking 1 s, 1 z, and 1 n when three letters picked without replacement from {n: 1, z: 2, j: 1, y: 2, s: 1, f: 1}. 1/28 Calculate prob of picking 1 n, 1 m, and 1 e when three letters picked without replacement from {e: 4, b: 6, n: 1, w: 1, v: 2, m: 4}. 1/51 What is prob of picking 1 q and 2 f when three letters picked without replacement from {q: 4, f: 10}? 45/91 Two letters picked without replacement from {p: 11, i: 9}. What is prob of picking 1 p and 1 i? 99/190 What is prob of picking 1 i, 1 e, and 2 w when four letters picked without replacement from litelwetwetwieee? 9/455 Four letters picked without replacement from eoesoonwweb. Give prob of picking 1 e, 2 o, and 1 n. 3/110 Two letters picked without replacement from {l: 1, r: 1, c: 1}. What is prob of picking 1 r and 1 l? 1/3 What is prob of picking 1 x, 1 n, 1 b, and 1 e when four letters picked without replacement from {j: 1, n: 1, b: 1, x: 1, e: 1}? 1/5 Three letters picked without replacement from {o: 3, h: 12, c: 3}. Give prob of picking 1 o and 2 c. 3/272 Three letters picked without replacement from ppppppppp. What is prob of picking 3 p? 1 Four letters picked without replacement from {b: 3, i: 4}. Give prob of picking 4 i. 1/35 What is prob of picking 1 w and 1 v when two letters picked without replacement from {k: 2, v: 2, w: 7}? 14/55 Two letters picked without replacement from txxvvvtqvqxvv. Give prob of picking 1 q and 1 x. 1/13 Calculate prob of picking 1 d, 2 u, and 1 l when four letters picked without replacement from cgduukcguulcgdk. 4/455 Four letters picked without replacement from tttheeettetrtehirit. Give prob of picking 1 e, 1 i, and 2 h. 5/1938 What is prob of picking 1 f and 1 c when two letters picked without replacement from mfrctnfrm? 1/18 Two letters picked without replacement from wzziiorrnwoiori. What is prob of picking 1 r and 1 z? 2/35 Four letters picked without replacement from mzmzmlw. Give prob of picking 3 z and 1 m. 0 What is prob of picking 2 f, 1 k, and 1 z when four letters picked without replacement from gkkgzkgfzkzff? 36/715 Three letters picked without replacement from {g: 1, d: 1, h: 1, n: 1, p: 1, y: 2}. Give prob of picking 2 g and 1 h. 0 What is prob of picking 2 b and 2 v when four letters picked without replacement from vbvvvbvvvvvvvvvbvv? 7/68 Calculate prob of picking 2 a when two letters picked without replacement from kvaa. 1/6 Two letters picked without replacement from {k: 1, o: 7, d: 1, w: 7}. What is prob of picking 1 o and 1 d? 7/120 Two letters picked without replacement from {n: 7, a: 9}. What is prob of picking 2 n? 7/40 Four letters picked without replacement from {e: 3, b: 2, y: 5, r: 5}. Give prob of picking 1 b, 2 e, and 1 y. 2/91 Three letters picked without replacement from {n: 2, v: 4, h: 3, l: 1, t: 1, y: 4}. What is prob of picking 1 v, 1 n, and 1 t? 8/455 What is prob of picking 2 f when two letters picked without replacement from pppppppffppppppppp? 1/153 Four letters picked without replacement from ssvvsv. What is prob of picking 1 s and 3 v? 1/5 Four letters picked without replacement from {j: 2, o: 1, k: 1, n: 3, f: 1, s: 3}. What is prob of picking 3 s and 1 f? 1/330 Three letters picked without replacement from jjjjfwwjkaaw. What is prob of picking 2 j and 1 k? 1/22 Two letters picked without replacement from {a: 1, p: 2, q: 9, g: 7}. Give prob of picking 2 p. 1/171 Calculate prob of picking 2 a and 1 k when three letters picked without replacement from {h: 2, a: 6, k: 9}. 27/136 What is prob of picking 2 n and 1 x when three letters picked without replacement from nllxnlnlxnlxllxlxnnn? 7/76 What is prob of picking 4 i when four letters picked without replacement from {i: 5}? 1 Four letters picked without replacement from quuyuyuuyyyuqbuuqu. Give prob of picking 1 y, 2 u, and 1 q. 3/17 Two letters picked without replacement from glnkngglg. What is prob of picking 1 k and 1 n? 1/18 Calculate prob of picking 2 f when two letters picked without replacement from {n: 2, f: 6}. 15/28 What is prob of picking 2 a and 2 q when four letters picked without replacement from {q: 5, b: 5, a: 3}? 6/143 Calculate prob of picking 2 k and 2 h when four letters picked without replacement from {h: 2, k: 11}. 1/13 Calculate prob of picking 1 g, 1 j, and 1 e when three letters picked without replacement from geeezzgezezzjeeezjgz. 4/95 What is prob of picking 2 z when two letters picked without replacement from {z: 3, n: 1}? 1/2 Four letters picked without replacement from avugvvaanagvagrgg. What is prob of picking 1 g, 1 a, 1 u, and 1 v? 5/119 What is prob of picking 1 l and 1 o when two letters picked without replacement from {o: 2, a: 1, l: 1}? 1/3 Two letters picked without replacement from sssssscsscssssscss. What is prob of picking 2 s? 35/51 Calculate prob of picking 1 u, 2 d, and 1 h when four letters picked without replacement from {d: 3, s: 2, m: 5, h: 5, u: 1}. 3/364 Two letters picked without replacement from {s: 1, c: 4, w: 6, d: 3}. Give prob of picking 1 c and 1 w. 24/91 What is prob of picking 1 v and 3 h when four letters picked without replacement from {v: 6, e: 2, h: 10}? 4/17 What is prob of picking 1 b and 1 p when two letters picked without replacement from {p: 1, b: 5, s: 1, o: 1, l: 2}? 1/9 What is prob of pickin
{ "pile_set_name": "DM Mathematics" }
22*q**2 + 221*q + 85. Let b be f(-5). Let t(u) = -13*u**2 + u - 1. What is t(b)? -13 Let t(i) = -i - 5. Suppose 15 = -4*v - 17. Let g be t(v). Let b(h) = -h**2 + 4*h + 1. Let l(m) = 2*m**2 - 7*m - 1. Let p(w) = -5*b(w) - 3*l(w). Determine p(g). -8 Let s(k) = 2*k + 137 - 406 + 58 + 121. Determine s(29). -32 Let s(k) be the first derivative of 0*k + 1/6*k**4 + 4 - 1/3*k**3 - 2*k**2. Let p(d) be the second derivative of s(d). Determine p(2). 6 Let l(k) = 2*k**3 - 4*k**2 + 3*k + 2. Suppose -323*y + 24 = -317*y. Suppose 8 = 2*j + 2*z, -14 = -y*j - 0*j - 2*z. Calculate l(j). 29 Let l(m) = 3289*m**2 + m - 3285*m**2 - 4*m + 1. Give l(4). 53 Let w(g) = -15*g**2 - 25*g + 28. Let r(k) be the second derivative of -13*k**4/12 - 4*k**3 + 27*k**2/2 - 5*k + 2. Let t(u) = 7*r(u) - 6*w(u). What is t(-19)? 2 Let q(l) = 270*l + 335. Let t(g) = 93*g + 111. Let d(s) = 6*q(s) - 17*t(s). What is d(-3)? 6 Let l(t) be the third derivative of 13*t**5/60 - t**4/8 + 2*t**3/3 - 6*t**2 - 29*t - 2. What is l(1)? 14 Let l(x) be the second derivative of -x**5/120 - x**4/6 + 8*x**3 - 20*x - 2. Let w(o) be the second derivative of l(o). Determine w(-8). 4 Let k be (-161)/92*4 - 80/(-2) - 2. Let j(l) = 2*l**2 - 60*l - 41. What is j(k)? 21 Let l(d) = -5*d**2 - 2*d + 1. Let w = -26 - 28. Let x = w + 56. Suppose -x*f + 5*u = -5*f + 18, -f = u - 4. Calculate l(f). -6 Let r(i) = -11*i**2 + 2*i + 1. Let z = -40 - -40. Suppose -3*w + 36 = -z*w. Suppose -w = j - 11. Calculate r(j). -12 Let j(v) = -42*v - 2. Let w(g) = -24*g - 1. Let t(a) = -3*j(a) + 5*w(a). Give t(-2). -11 Let c(z) = 5*z**3 - 161*z**2 - 19*z - 15. Let b(f) = -6*f**3 + 188*f**2 + 22*f + 16. Let w(x) = 6*b(x) + 7*c(x). Determine w(-4). 75 Let m = -45 + 43. Let p be 3 + ((-12)/24)/(m/(-4)). Let d(k) = p*k + 7 + 0*k + k - 5*k. Give d(8). -9 Let p(s) be the second derivative of -s**4/12 - 3*s**3/2 + 11*s**2/2 + 269*s. Calculate p(-10). 1 Let s = -14 - -15. Let g(d) = 4 + 4*d + 1 - d + s. Determine g(-8). -18 Let w(k) be the second derivative of -k**5/20 - k**4/4 + 4*k**3/3 + 2*k**2 + k + 1235. Calculate w(-5). 14 Let t(u) = -u**2 + 8*u - 8. Let r be 3 - 12/2 - -10. Suppose 0 = 2*i - 3*i + r. What is t(i)? -1 Let q(i) = -i**3 + 12*i**2 - 12*i + 18. Let g be q(11). Let m be 167/15 + (-26)/(-30) + -1. Let r(a) = 419*a**2 - 208*a**2 + 6 + 3 - m*a - 210*a**2. Give r(g). -19 Let b(n) be the third derivative of -1/2*n**3 - 1/6*n**4 + 2*n**2 + 0*n - 2. Determine b(-2). 5 Let q(y) = 3*y + 2*y + 6 + 3*y + y**2. Let z(c) = c**3 + 9*c**2 - 3*c + 27. Let f be z(0). Suppose 5*w = j - f, 22*w + j + 23 = 17*w. Determine q(w). -9 Let j(o) = -o + 5. Let l = 99 - 59. Suppose -50*v + 52*v - 8 = y, 5*y + 4*v = -l. Determine j(y). 13 Let r(g) = 23*g**2 - 5 - g - 11*g**3 + 17*g - 11 - 16*g. Let y be -4*(-3)/6 + 2. Let o(u) = -5*u**3 + 11*u**2 - 8. Let b(s) = y*r(s) - 9*o(s). What is b(7)? 8 Let h(y) be the third derivative of 0*y + 1/720*y**6 + 3*y**2 + 0*y**3 + 1/24*y**5 + 0 - 3/4*y**4. Let s(l) be the second derivative of h(l). Determine s(4). 9 Suppose -j + 4 = 0, -2*j + 49 = 4*b + 37. Let q(t) = -4*t**2 + 1256*t + b - 1256*t. Suppose 5*o - 4 - 1 = 0. Give q(o). -3 Let p = 748 + -763. Let m(t) = t**2 + 16*t + 16. Calculate m(p). 1 Let b(p) be the third derivative of -p**7/5040 - p**6/180 - 3*p**5/10 - p**4/12 + 8*p**2 + p. Let g(k) be the third derivative of b(k). Give g(-3). -1 Let i be ((-48)/192)/(3/(-36)). Let a(s) be the third derivative of 0*s + 0 + 2/3*s**i - 1/24*s**4 + 13*s**2. Calculate a(-7). 11 Let l(q) be the first derivative of q**4/4 - 5*q**3/3 - 3*q**2/2 + 14*q - 10. Let b(v) = v**2 + 156*v + 464. Let h be b(-3). Give l(h). -1 Let k(c) = 1466*c - 2 - 736*c - 732*c. Let j be (3/(-2))/(3/4). Determine k(j). 2 Let g(z) = 11*z - 174. Let m be g(15). Let v be 6 + m - (1 - 1). Let x(p) = p**3 + 2*p**2 + 3*p - 1. Give x(v). -19 Let t = -88 - -101. Suppose u + 5 = t. Let v(i) = u + 0*i**2 - 17 - i**2 - 8*i. What is v(-6)? 3 Let x(p) = 6*p**3 - 4*p**2 + 2*p + 9. Let r(v) = -5*v**3 + 3*v**2 - 9. Let j(u) = -5*r(u) - 4*x(u). Let s be j(-4). Let i(z) = z**2 + 5*z - 5. Give i(s). 9 Let n(h) = -h**3 - 4*h**2 + 9*h - 21. Let b be n(-6). Let s(c) = 6*c**2 + 14*c + 3. What is s(b)? 15 Let d(p) = 12*p - 231. Let s(v) = 11*v - 179. Let k(j) = 3*d(j) - 4*s(j). What is k(6)? -25 Let k(a) be the first derivative of a**5/10 - a**4/12 + a**3/6 - 88*a - 46. Let f(s) be the first derivative of k(s). Suppose 6*i = i + 5. Determine f(i). 2 Let t(y) = 59*y**2 + 94*y - 30. Let p(f) = 32*f**2 + 51*f - 16. Let v(g) = -11*p(g) + 6*t(g). What is v(-9)? 131 Let z(x) = -8*x - x**2 - 26 + 26. Suppose 152 + 58 = 5*r. Suppose 22*m + r = 16*m. Give z(m). 7 Let s be 5/(50/80) - 11. Let q(d) = 25*d + 73. Give q(s). -2 Let c(x) = 4*x + 1. Let u be (-3 - (-55)/5)/1. Suppose -16*k + 8*k + u = 0. Determine c(k). 5 Let j(i) = 34*i + 1400. Let o be j(-41). Let m(h) = h**2 - 7*h - 14. Give m(o). -20 Let p(v) be the first derivative of -4*v**2 + 1. Let q = -5914 + 5913. Calculate p(q). 8 Suppose -4*t - 4*z = 8, 2*t - 2*z - 2*z = 20. Let m(v) = 0*v**2 + 6*v**t - 2*v**2 - 1. Let r(i) = -6*i - 19. Let d be r(-3). What is m(d)? 3 Let d(v) = -v**2 - 2*v - 4. Suppose r + 1 - 4 = 0. Suppose -2*n + 54 = -r*a + 19, 2*n - a - 33 = 0. Suppose 3*z + 4 = z - q, -n = -4*q. Give d(z). -12 Let w be (-270)/8 + -21*37/3108. Let u(x) = -10*x - 334. Determine u(w). 6 Let o(h) = h**3 - 8*h**2 + 18*h - 31. Let j be 11 + ((-6 - 3) + 6 - (-2)/(-1)). What is o(j)? 5 Let u(b) = -4*b + 3762 - 3778 - 3*b - 4*b. Give u(8). -104 Let g(r) be the first derivative of r**7/840 - 7*r**6/360 + r**5/60 - 5*r**4/24 + 8*r**3 - r**2 + 125. Let t(x) be the third derivative of g(x). Give t(7). 9 Let j(m) be the second derivative of -m**5/60 + m**4/3 - 3*m**3/2 - 27*m**2 + 136*m. Let y(k) be the first derivative of j(k). Give y(8). -9 Let r(i) = i**3 - i**2 + i - 3. Let w(t) = -2*t - 3. Let o be w(-4). Suppose 96 = -o*n + 9*n. Let h = -21 + n. What is r(h)? 18 Let i(w) be the first derivative of -3*w**2/2 + 4*w + 10. Let x be -12*-5*(-9)/180. Determine i(x). 13 Let l(q) = 39152*q - 13 + 39153*q - 78306*q. Suppose t - 5*t = 36. Determine l(t). -4 Let a = 48 + -46. Let m(s) be the first derivative of 7*s**a + 668 - 4*s**2 - 658 + 4*s. What is m(-3)? -14 Let z(p) = p**3 + 2*p + 11*p**2 - 3*p**2 - 15 - p**2 - 3*p**2 + 11. Let y(s) = 3*s**3 - s**2 + s + 2. Let j = 21 - 22. Let r be y(j). What is z(r)? -1 Let h(r) = 15*r + 79. Let q = 8907 + -8912. Calculate h(q). 4 Let y(j) = j**2 + 4*j + 16. Let t(b) = 2*b**2 + 5*b + 21. Let z(d) = -8*t(d) + 11*y(d). Give z(-2). -20 Let t = -281 - -499. Suppose t = b - 97. Let u(l) = -315 + l + b. What is u(0)? 0 Let h be 36/(-54) - (-28)/6. Let n = 520 - 326. Let k(s) = s**3 + 201 - 398 - 5*s**2 + 3*s + n. Calculate k(h). -7 Suppose 3*o = -5*t + 50, -9*o + 5*o + 20 = 0. Let r(h) be the second derivative of h**4/12 - 4*h**3/3 + h**2/2 - 22*h. Calculate r(t). -6 Let w(t) = -13*t**2 + 6*t + 19. Let l(h) = -9*h**2 + 4*h + 13. Let k = -122 + 117. Let p(y) = k*w(y) + 7*l(y). Determine p(3). 8 Let p(a) = 5*a - 1. Let w = 4415 + -4305. Let o be ((-109)/(-2))/((-2)/4). Let m = w + o. Give p(m). 4 Let a = -367 + 369. Let c(z) = -26*z + 46*z + 1 - a - 22*z + 0. Calculate c(-2). 3 Let l be 4 - -4 - 6/1. Let p(a) = 6 + 8 - 9 - 2*a - l - 5. What is p(-2)? 2 Let s(p) be the second derivative of -p**6/120 - p**5/20 + p**4/8 - 43*p**2/2 - 23*p. Let w(l) be the first derivative of s(l). Calculate w(-4). 4 Let h(y) = -y + 59. Let k = -8710 - -8728. What is h(k)? 41 Suppose 2*o = -4*s + 6, -2*s = -3*o - 0*s + 17. Suppose 4*d = 3 + o. Let b(m) be the second derivative of -2*m**3/3 + 3*m**2/2 + 9*m. Calculate b(d). -5 Suppose 127*d + 4791 - 473 = 0. Let v(m) = m**2 + 29*m - 172. What is v(d)? -2 Suppose 15*p + 2*p + 9*p + 5*p = 0. Let v(o) be the second derivative of -1/6*o**3 - 10*o + p - 1/2*o**2. Give v(6). -7 Let y(c) = -14*c**3 - c**2 - c. Let a be 32 + -40 - (-38)/(-1). Suppose -176 = 4*t + 2*b, 5*b + 215 = -5*t - 0*b. Let w = a - t. What is y(w)? 14 Let q(h) = 3*h. Let r(v) = 7*v - 1. Let c(t) = -5*q(t) + 2*r(t). Let p = 94904 + -94903. Give c(p). -3 Suppose -7*n - 22 + 78 = 0. Suppose -n = 4*w + 12. Let l(u) = 3*u - 2*u + u**3 - 30*u**2 + 35*u**2 - 3*u. Give l(w). 10 Let i(b) = -1. Let o(x) = 8*x +
{ "pile_set_name": "DM Mathematics" }
13, 0 = 3*v + 2*k. Let c be ((2 - v) + 0)/1. Suppose 0 = r + l - 6*l - 16, -4*r + 2*l + 64 = c. What are the prime factors of r? 2 Let i(r) = r + 2. Let h be i(2). Suppose 81 = 3*k - 5*j, 6*k + h*j - 54 = 3*k. Let d = 8 + k. What are the prime factors of d? 2, 3, 5 Let p = 3802 - 1426. List the prime factors of p. 2, 3, 11 Let r be -2*1 - (-465)/(15/(-3)). Let b = r + 143. List the prime factors of b. 2, 3 What are the prime factors of 1488/14 - (-5)/(-210)*12? 2, 53 Let c = -769 + 995. What are the prime factors of c? 2, 113 Let d = 174 - 259. Let k = d + 126. What are the prime factors of k? 41 Suppose -6*b = 4*n - b - 28, 4*b - 22 = -3*n. Suppose -2*k + 3*d - 8 = d, -6 = -n*d. What are the prime factors of (43 - -4 - k) + -3? 3, 5 Let u = -2134 + 1414. Let h be u/(-6) + -1*2. Suppose 3*d - h = 5*s, -3*s - 2*s - 72 = -2*d. What are the prime factors of d? 2, 23 Suppose -19*z = -36*z + 391. Suppose 10 - 34 = -4*c. Let n = c + z. What are the prime factors of n? 29 Suppose 8*x = 3*x. Suppose 3*i = 3*f - 12, 2*i + f + 0*f + 14 = x. List the prime factors of i/(-30) - (-49)/5. 2, 5 Let t be (-306)/(-27)*39/2. Suppose -3*h + 0*q + t = 2*q, -2*h + 143 = -3*q. List the prime factors of h. 73 List the prime factors of (-105)/(-245) + ((-918)/14)/(-1). 2, 3, 11 Suppose 39*z - 28 = 35*z. List the prime factors of ((-53)/(-5))/(z/35). 53 Let z = 6 + 30. Suppose z = -g - 2*g. List the prime factors of (g/8)/(3/(-8)). 2 What are the prime factors of (-3 - 51)/(3/(-2)) - -5? 41 Let i(x) = -432*x - 276. List the prime factors of i(-14). 2, 3, 13, 37 What are the prime factors of -159 + 157 + (-2 - -753)/1? 7, 107 List the prime factors of (5 + -4 - 2)*(-82)/1. 2, 41 Let i(j) = j**3 + j**2 - 6*j + 2. Let l be i(-3). Let w be l + (6 - 3) + -3. Let d(u) = 2*u**2 - 3*u + 1. List the prime factors of d(w). 3 Let c be (-99)/(-27) + 0 + (-2)/3. Suppose 0 = -4*h, c*k + 3*h = -2*k + 20. List the prime factors of k. 2 Let f(w) = -w**3 + w**2 - 4*w - 27. Let t be f(0). What are the prime factors of (1 - (-634)/6) + 18/t? 2, 53 Let p(o) = 4*o**2 + 2*o**3 - 8*o + 3*o**3 - 3 - 4*o**3 - 3. Let y be p(-5). Let k(h) = h**2 - 9*h + 3. What are the prime factors of k(y)? 3 Suppose 3*v - u - 1 = 0, 5*v - 7 = -2*u + 13. Suppose x + 345 = 5*r, -v*x = -r + 59 + 10. What are the prime factors of r? 3, 23 Let l(n) = n**2 - 19*n + 22. Let m be l(18). Suppose -3*a + 238 = m*a. List the prime factors of a. 2, 17 Let d = 123 + -36. Let m = -60 + d. Suppose 4*p = 3*p + m. What are the prime factors of p? 3 Let a be (220/66)/((-2)/15). Let l = a + 55. List the prime factors of l. 2, 3, 5 What are the prime factors of 2 - (7 - 4501)/6? 751 Suppose 3*o = 5*c - 3163 - 5522, -5*c - 3*o + 8685 = 0. What are the prime factors of c? 3, 193 Suppose 5*j = -b - 22, 3*j = -5*b - 0*j. Suppose b*d - 4*d = -2. Suppose -51 = -o + 4*w - 6*w, -5*w = d*o - 106. List the prime factors of o. 43 Let m(r) = -5 + 2*r**2 + 3 - 5*r - 3 - 5. List the prime factors of m(7). 53 Let t = 60 - 33. Let c = 24 - t. Let d(y) = -19*y - 3. List the prime factors of d(c). 2, 3 Suppose 28 = 11*h - 7*h. Let r(q) = -q**3 + 8*q**2 - 8*q + 5. Let k be r(h). What are the prime factors of (9/(-6))/(1/k)? 3 Let l(d) = 3*d**3 + 21*d**2 + 9*d + 27. Let q(b) = 2*b**3 + 11*b**2 + 4*b + 14. Let s(h) = 3*l(h) - 5*q(h). What are the prime factors of s(8)? 67 Suppose 5*o + 135 = 4*n - 132, 57 = n + 2*o. Let f = n - -18. Suppose -2*h = -a - f, 0 = -h + 4*h - 3*a - 114. List the prime factors of h. 43 Let a(q) = q**3 + 14*q**2 - 2*q + 29. Suppose -38 = 4*w + 10. List the prime factors of a(w). 11, 31 Let p(c) = -12*c + 25. Let o be p(3). Let s(k) = -17*k - 9. What are the prime factors of s(o)? 2, 89 Let j(x) be the first derivative of -x**3/3 + 2*x + 2. Let p be j(0). Suppose p*a - 24 - 26 = 0. List the prime factors of a. 5 Let g = 2219 + -1174. List the prime factors of g. 5, 11, 19 Suppose w = 2*t + 10, 0 = -2*t - 4*w - 25 - 5. Let u(n) = n**3 + 9*n**2 - n - 7. List the prime factors of u(t). 2, 7 Let s be 2 + 1 + -3 + 0. Let k(x) = x**2 + 23. Let o be k(s). Let q = -7 + o. List the prime factors of q. 2 Let q(p) be the first derivative of -5*p**2/2 + 13. What are the prime factors of q(-10)? 2, 5 Suppose -3*w + n + 799 = 0, -846 = -2*w + 5*n - 309. What are the prime factors of w? 2, 7, 19 Let s = -21 - -24. Suppose -s*v + 11*v = 0. Suppose 4*p - 103 - 57 = v. What are the prime factors of p? 2, 5 Suppose j - 1208 = -o, 0 = 3*o + 28*j - 26*j - 3629. List the prime factors of o. 1213 Suppose -12*j = -1841 - 52267. What are the prime factors of j? 3, 167 Let l = 1995 - 1403. What are the prime factors of l? 2, 37 Let p = 27 + -21. Suppose 9 = -5*o + p*o. List the prime factors of -106*((-9)/2)/o. 53 Let v = 5 - 10. Let m(n) = 20*n**2. Let w be m(1). Let q = w - v. What are the prime factors of q? 5 What are the prime factors of (-117)/(1/82*-2)? 3, 13, 41 Let h(w) = 2*w**2 - 8*w + 56. What are the prime factors of h(19)? 2, 313 Let m(p) = -p**3 + 3*p**2 + 3*p + 5. Let n be m(4). Let c(q) = 102*q**2 + q. What are the prime factors of c(n)? 103 Let q(h) = 35*h**2 + 7*h + 7. Let x(t) = -18*t**2 - 3*t - 3. Let a(g) = 2*q(g) + 5*x(g). Let n be a(-1). What are the prime factors of n/(-6) + (-6)/(-9)? 2 Suppose 0 = a - 11*a - 30. Suppose 2*t - 3*j = 0, 0*t - t - 14 = -5*j. Let n = a + t. List the prime factors of n. 3 Let f = 4 - -1. Let n = f + 1. List the prime factors of ((-21)/n - -3)*-10. 5 Let f = -13 + 15. Suppose 0 = 2*g + f*k + 32, 2*k + 50 = -4*g + 5*k. What are the prime factors of (-3)/(3/g) + -2? 2, 3 Let y be (-348)/(-7) + (-6)/(-21). Let b = 90 - y. What are the prime factors of b? 2, 5 Let n(i) = i**2 - 6*i - 7. Let y be n(7). Suppose -5*c - 2*u + 581 = -558, -5*u + 10 = y. List the prime factors of c. 227 Let r = 1152 + -150. What are the prime factors of r? 2, 3, 167 Let f be 8 + -5 + (-14)/2 + 421. Let l = -232 + f. List the prime factors of l. 5, 37 Suppose 5*p - 50 = 95. Let m = p - 7. List the prime factors of m. 2, 11 Suppose -f = -5*i - 506 - 63, i = -3*f - 101. Let q = 44 + i. Let u = q - -102. List the prime factors of u. 3, 11 What are the prime factors of 18/9 + (-2 - -3) + 261? 2, 3, 11 Let m = -193 - -436. List the prime factors of m. 3 Let d be (-8)/2 + 47 + -11. Suppose j - d = -0*j. List the prime factors of j. 2 Let w(d) = -157*d - 24. List the prime factors of w(-30). 2, 3, 11, 71 Suppose 1938 = 16*y - 73*y. Let b be (-6)/(-2)*64/3. Let r = b + y. List the prime factors of r. 2, 3, 5 Suppose 9*v - 8*v = 3*p - 2519, 5*v + 849 = p. What are the prime factors of p? 839 Let f(d) = d**3 + 2*d**2 + 2. Let h be f(-2). What are the prime factors of 7 + (-658)/(-4) - h/(-4)? 2, 43 Let o = -344 + 614. What are the prime factors of o? 2, 3, 5 Suppose -3*h + 9 - 3 = 0. Suppose 0*y = -h*y + 8. What are the prime factors of 8*3*y/12? 2 Suppose 41 = -3*v - 2*d, -3*d - 68 = -v + 6*v. Let f be (-13)/v - (-2 - 0). What are the prime factors of 1/f + (-294)/(-9)? 3, 11 Suppose 2*s - c = 2584, -c = -3*s - 2*c + 3886. What are the prime factors of s? 2, 647 Suppose 5*a - 6 = 3*a. Suppose 0 = 31*k + 8 + 23. List the prime factors of ((-48)/(-9) - k)*a. 19 Let y(k) = -409*k**3 + k**2 - 3*k - 4. What are the prime factors of y(-1)? 409 Let r(g) = -g**3. Let w be r(0). Suppose w = -p + 1, n = -n + 5*p + 99. Suppose k + 0 = n. List the prime factors of k. 2, 13 Suppose 0 = 3*c + o + 399, -2*c + 0*o + o = 271. Let a = -84 - c. What are the prime factors of a? 2, 5 Suppose 0 = -11*s + 34134 + 10064. What are the prime factors of s? 2, 7, 41 Suppose -4*a = -3*p + 738, 0 = 20*a - 15*a. What are the prime factors of p? 2, 3, 41 Suppose -18*q + 22*q = 8. Let i be (-5)/(5/4)*-1. Suppose 0 = q*o + i*s - 72, -110 = -3*o - 4*s - s. What are the prime factors of o? 2, 5 Let c(b) = -b - 2. Let n be c(6). Let s = n - -10. What are the prime factors of (-40 - -3)/(-3 + s)? 37 What are the prime factors of 17/((-136)/48) + 1955? 1949 Let r be 12/((-52)/136 - (-1)/2). Let x(g) = g. Let j be x(5). Suppose -j*f + r = 3*y, -f - y + 30 = 2*y. List the prime factors of f. 2, 3 Suppose -85916 = 18*g - 65*g. List the prime factors of g. 2, 457 Let x = 26 - 23. Suppose -5*w = 3*b - 0*b - 541, x*w - b = 319. List the prime factors of w. 107 Suppose 4*x -
{ "pile_set_name": "DM Mathematics" }
268748 What is next in -185, -1004, -2359, -4238, -6629? -9520 What is the next term in -1306, -1520, -2112, -3274, -5198, -8076, -12100? -17462 What is the next term in 64984, 65125, 65266, 65407, 65548, 65689? 65830 What is next in -13323604, -13323602, -13323600, -13323598, -13323596? -13323594 What comes next: -9308, -9345, -9438, -9611, -9888, -10293, -10850? -11583 What comes next: 23724, 23232, 22740, 22248, 21756? 21264 What comes next: 516678, 1033878, 1551080, 2068284, 2585490? 3102698 What comes next: -2403133, -2403166, -2403199, -2403232, -2403265? -2403298 What comes next: -4867, -5238, -5823, -6592, -7515? -8562 What is the next term in -6220, -35467, -84220, -152485, -240268, -347575, -474412, -620785? -786700 What is next in -500127, -500173, -500223, -500277, -500335? -500397 What is next in -23181638, -23181637, -23181636, -23181635, -23181634? -23181633 What comes next: 6484328, 12968643, 19452948, 25937237, 32421504, 38905743, 45389948, 51874113? 58358232 What comes next: -211, 699, 3607, 9395, 18945, 33139, 52859, 78987? 112405 What comes next: 6373, 6194, 6045, 5938, 5885? 5898 What comes next: -741152, -1482047, -2222942, -2963837? -3704732 What comes next: 1462667, 2925332, 4387997? 5850662 What is the next term in -15686976, -15686971, -15686962, -15686949, -15686932, -15686911, -15686886? -15686857 What is next in 6181, 24671, 55471, 98605, 154097, 221971? 302251 What is the next term in -304, -154, 98, 506, 1124, 2006, 3206? 4778 What comes next: 218344, 218434, 218690, 219196, 220036, 221294? 223054 What comes next: 2569, 7866, 15881, 26614, 40065? 56234 What is next in -2083, -6059, -11943, -19729, -29411? -40983 What is the next term in -421, -878, -1625, -2662? -3989 What is the next term in -257337, -257458, -257553, -257610, -257617, -257562, -257433? -257218 What comes next: -2768, -22642, -76432, -181046, -353392, -610378? -968912 What is the next term in -18114, -72411, -162872, -289479, -452214, -651059, -885996? -1157007 What is the next term in 7816669, 7816660, 7816651, 7816642? 7816633 What is next in -42273, -84547, -126809, -169059, -211297? -253523 What is the next term in -5953, -8170, -10387, -12604? -14821 What comes next: -18166, -18619, -19374, -20431, -21790, -23451? -25414 What is next in -14454, -14495, -14564, -14661, -14786, -14939, -15120? -15329 What is next in -295, 75, 693, 1559? 2673 What comes next: 169986310, 169986307, 169986304, 169986301, 169986298, 169986295? 169986292 What is next in 779, 2031, 3777, 6017, 8751, 11979? 15701 What is next in 9727, 32210, 54693? 77176 What comes next: -61859, -66136, -73265, -83246, -96079? -111764 What is the next term in -367329, -1469200, -3305653, -5876688, -9182305, -13222504? -17997285 What is the next term in -575699, -575695, -575691, -575687? -575683 What is the next term in 1364171, 1364181, 1364191, 1364201? 1364211 What comes next: 5322, 39186, 128384, 299718, 579990? 996002 What is the next term in -21311835, -21311821, -21311799, -21311769, -21311731, -21311685, -21311631? -21311569 What is next in 3520, 15581, 35678, 63811, 99980, 144185? 196426 What is the next term in -18432, -19263, -20094, -20925, -21756? -22587 What is the next term in 5877, 23389, 52497, 93147, 145285? 208857 What is the next term in -4924, -4756, -4492, -4144, -3724, -3244? -2716 What is next in 468311, 467819, 467327, 466835? 466343 What is next in 188079, 379377, 570675, 761973, 953271, 1144569? 1335867 What comes next: -353122, -706260, -1059400, -1412542, -1765686? -2118832 What is the next term in -186044, -185982, -185932, -185894, -185868? -185854 What comes next: -777490, -1554980, -2332470? -3109960 What comes next: 415, -2404, -5221, -8036, -10849, -13660? -16469 What comes next: 2552, 9956, 22192, 39260, 61160, 87892? 119456 What is the next term in 18200646, 18200645, 18200644, 18200643? 18200642 What is next in -104119, -103702, -103285? -102868 What is next in -421, -1534, -3313, -5716, -8701? -12226 What is next in -738, -6129, -11522, -16917, -22314? -27713 What comes next: 409760, 819294, 1228828, 1638362? 2047896 What comes next: -18754, -75053, -168914, -300343, -469346? -675929 What is the next term in 108194, 108151, 108118, 108101, 108106, 108139, 108206? 108313 What comes next: 89534, 127980, 166412, 204824, 243210? 281564 What is next in 806, 4448, 13804, 31730, 61082? 104716 What comes next: 2582420, 5164842, 7747264, 10329686, 12912108, 15494530? 18076952 What is the next term in 67430, 269670, 606730, 1078610, 1685310? 2426830 What is next in -5245, -20930, -47051, -83614, -130625, -188090? -256015 What is next in -3183110, -3183134, -3183158, -3183182? -3183206 What is next in -1364, -4247, -8652, -14579? -22028 What is the next term in -494, -1607, -3534, -6275, -9830, -14199, -19382? -25379 What comes next: 1890, 5045, 9418, 15009, 21818? 29845 What is next in -207986, -207839, -207644, -207377, -207014, -206531, -205904, -205109? -204122 What is next in 174296, 697301, 1568984, 2789351, 4358408, 6276161? 8542616 What is the next term in -2657775, -2657758, -2657741, -2657724, -2657707? -2657690 What comes next: -5419, -4245, -3059, -1855, -627? 631 What is the next term in -9695, -35482, -78451, -138596, -215911, -310390? -422027 What is next in 683, 2595, 5803, 10289, 16035? 23023 What is next in -1171, -2309, -5385, -11365, -21215, -35901, -56389, -83645? -118635 What comes next: -218467, -218473, -218499, -218545, -218611, -218697, -218803? -218929 What comes next: 1368, 2703, 4058, 5433, 6828, 8243? 9678 What is the next term in 941, 4059, 9371, 16877? 26577 What comes next: -42180, -42116, -42052, -41988? -41924 What is next in -4798, -8261, -11724, -15187, -18650? -22113 What is the next term in -62283, -124650, -187073, -249552, -312087? -374678 What comes next: -3084873, -3084869, -3084865, -3084861? -3084857 What is the next term in 195, 910, 2595, 5730, 10795, 18270, 28635, 42370? 59955 What comes next: 3076159, 6152249, 9228341, 12304435, 15380531? 18456629 What is next in 51700, 52020, 52340? 52660 What comes next: -2192140, -4384632, -6577120, -8769604, -10962084? -13154560 What comes next: -17119, -34429, -51929, -69619, -87499, -105569, -123829? -142279 What is the next term in 437508, 438171, 438846, 439539, 440256, 441003? 441786 What is next in 696520736, 1393041470, 2089562204, 2786082938? 3482603672 What comes next: -1099, -2188, -3997, -6526? -9775 What is next in -40624190, -81248381, -121872572? -162496763 What is next in -84497621, -84497617, -84497613? -84497609 What comes next: 8750, 16117, 23038, 29519, 35566, 41185, 46382, 51163? 55534 What is the next term in -23, -110, -221, -326, -395, -398? -305 What is the next term in 24391, 24466, 24589, 24760, 24979, 25246, 25561? 25924 What comes next: -9431, -8836, -7247, -4166, 905, 8464? 19009 What is the next term in -3828, -6004, -8180, -10356, -12532, -14708? -16884 What comes next: 16, -170, -568, -1184, -2024? -3094 What is next in 7989999, 31960016, 71910043, 127840080? 199750127 What is the next term in 1203, 2278, 3333, 4374, 5407? 6438 What comes next: 6157, 7035, 8509, 10585, 13269? 16567 What comes next: -1051, -62, 2949, 7976, 15013, 24054, 35093, 48124? 63141 What is the next term in -24405, -85512, -187357, -329940, -513261, -737320, -1002117? -1307652 What comes next: -9660, -35856, -79508, -140610, -219156, -315140, -428556? -559398 What comes next: -361131, -361175, -361221, -361269? -361319 What is the next term in -12401, -99177, -334709, -793373, -1549545, -2677601, -4251917? -6346869 What comes next: -784832, -784830, -784822, -784808, -784788, -784762, -784730? -784692 What is next in -37512, -149840, -336990, -598962, -935756, -1347372? -1833810 What is the next term in 3761155, 3761125, 3761095, 3761065, 3761035, 3761005? 3760975 What is next in -217203, -217489, -217775, -218061? -218347 What comes next: 1576, 13348, 45242, 107320, 209644, 362276, 575278, 858712? 1222640 What is next in -1460, -1613, -1766, -1919, -2072, -2225? -2378 What is next in 17561, 18425, 19281, 20129, 20969? 21801 What is the next term in 28994, 28912, 28828, 28742, 28654? 28564 What is next in -57180, -114358, -171536? -228714 What comes next: 12089
{ "pile_set_name": "DM Mathematics" }
)**3/3 Let m = -11247/8 - -1406. Let h(f) be the first derivative of 8 + 0*f - m*f**3 + 3/16*f**2. Find x such that h(x) = 0. 0, 1 Let l(z) = -z**4 + 31*z**3 - 21*z**2 + 18*z. Let m(n) = -n**4 + 16*n**3 - 11*n**2 + 8*n. Let v(q) = 4*l(q) - 9*m(q). Suppose v(x) = 0. Calculate x. 0, 1, 3 Let h(q) be the first derivative of -4*q**3/15 - 12*q**2/5 - 4*q - 128. Solve h(g) = 0. -5, -1 Factor 12/7*k + 2/7*k**2 + 16/7. 2*(k + 2)*(k + 4)/7 Let l = 651/2 + -325. Find u, given that -5/2*u**3 - 1/2*u**4 + 0*u + l*u**5 - 3/2*u**2 + 0 = 0. -1, 0, 3 Suppose -15 = -16*s + 11*s. Suppose -r = 2*d - 3, 4*d = 2*r + s*r + 13. Suppose 2/7*z**d + 2/7*z**3 - 1/7 - 1/7*z**4 - 1/7*z - 1/7*z**5 = 0. Calculate z. -1, 1 Let j(o) be the third derivative of o**5/150 - 13*o**4/30 + 23*o**3/5 + 582*o**2. Factor j(y). 2*(y - 23)*(y - 3)/5 Suppose 39*s = 38*s, t - 5*s = 2. Let y(p) be the second derivative of p - 1/42*p**4 + 2/7*p**t + 0 - 1/21*p**3. Find n, given that y(n) = 0. -2, 1 Let f(n) be the first derivative of -n**5 + 10*n**4 - 40*n**3 + 80*n**2 - 80*n + 47. Factor f(j). -5*(j - 2)**4 Factor -37/4*i - 9/2 - 5*i**2 - 1/4*i**3. -(i + 1)**2*(i + 18)/4 Let b(v) = v**2 - 7*v + 65. Let f be b(0). Let c be 2/(-5) - (2 - f/25). Factor -c*h**2 + 1/5*h + 0 + 1/5*h**4 - 1/5*h**3. h*(h - 1)**2*(h + 1)/5 Let m(g) = -25*g**4 - 2*g. Let q(t) = -t**3 + t. Suppose r = -19 + 21. Let a(y) = r*q(y) + m(y). Suppose a(p) = 0. Calculate p. -2/25, 0 Let a(j) = -3*j - 21. Let d be a(-7). Suppose -v + 2 + 0 = d. Find i, given that -12*i + 3*i**3 + 9*i**v + i**3 - i**2 = 0. -3, 0, 1 Let c(z) = z**5 + z**2 - z + 1. Let n(m) = m**5 + 2*m**4 - m**2 + m - 1. Let i(q) = -2*c(q) - 2*n(q). Factor i(u). -4*u**4*(u + 1) Let o(u) be the third derivative of u**5/12 - 25*u**4/12 + 125*u**3/6 + 273*u**2. Suppose o(t) = 0. What is t? 5 Let s(w) be the third derivative of 0*w - 5/9*w**3 + 0 + 1/630*w**7 + 11*w**2 - 29/72*w**4 - 7/360*w**6 - 3/20*w**5. Factor s(u). (u - 10)*(u + 1)**3/3 Let l(b) = 12*b**4 - 22*b**3 + 6 + 26*b**2 - 12*b - 8*b**4 - 2*b. Let t(o) = o**3 - o**2 + o - 1. Let y(i) = l(i) + 6*t(i). Factor y(k). 4*k*(k - 2)*(k - 1)**2 Let b(f) be the third derivative of f**7/840 - 7*f**6/96 + 127*f**5/80 - 435*f**4/32 + 225*f**3/4 - 16*f**2. Let b(k) = 0. Calculate k. 2, 3, 15 Determine q, given that 3/4 - 3/8*q - 3/8*q**2 = 0. -2, 1 Let v(n) = 18*n**4 + 32*n**3 - 90*n**2 + 40*n. Let d(b) = 125*b**4 + 225*b**3 - 630*b**2 + 280*b. Let u(m) = 3*d(m) - 20*v(m). Let u(a) = 0. Calculate a. -4, 0, 2/3, 1 Let m(h) be the third derivative of h**7/1680 + h**6/240 + h**5/240 - h**4/48 - h**3/16 - 44*h**2. Factor m(b). (b - 1)*(b + 1)**2*(b + 3)/8 Solve -2/7*i**2 + 0 + 34/7*i = 0 for i. 0, 17 Let v(m) be the third derivative of -17*m**7/1155 - 7*m**6/220 + 13*m**5/330 + 7*m**4/44 + 4*m**3/33 - 914*m**2. Let v(l) = 0. Calculate l. -1, -4/17, 1 Let 3*h**2 - 9/2*h + 0 + 3/2*h**3 = 0. Calculate h. -3, 0, 1 Let z(r) be the first derivative of -3*r**5/5 + 27*r**4 - 436*r**3 + 3024*r**2 - 9408*r - 274. Factor z(o). -3*(o - 14)**2*(o - 4)**2 Suppose -3*f = c - 80, -2*c = -0*f - 2*f + 64. Suppose -p = -2*j - 24, -3*p - 4*j + 52 = -40. Suppose m + f + 2*m**4 - p - m**5 - 2*m**2 = 0. What is m? -1, 0, 1 Let n = 72 + -70. Factor -29 - 2*s**n - 28*s + 8 - 77. -2*(s + 7)**2 Let h(f) be the third derivative of -f**7/1260 + f**5/180 - 4*f**3/3 - 9*f**2. Let o(z) be the first derivative of h(z). Factor o(t). -2*t*(t - 1)*(t + 1)/3 Let b(y) = -4*y**5 + 14*y**4 - 26*y**3 + 16*y**2 - 4*y. Let g(h) = h**4 + h**3. Let j = -24 - -25. Let s(q) = j*b(q) + 2*g(q). Find w, given that s(w) = 0. 0, 1 Let h be (-36)/(-22) - (-8)/22. Let w(y) be the third derivative of -1/8*y**4 + 1/70*y**7 + 0 - 1/20*y**5 - 2*y**h + 0*y**3 + 0*y + 1/40*y**6. Factor w(a). 3*a*(a - 1)*(a + 1)**2 Let a be (-6)/(-21) + (-55)/21. Let z = 17/6 + a. Determine u so that z*u**2 - u + 0 = 0. 0, 2 Solve 5*i**5 - 9*i**3 + 0 - 15*i**4 + 55*i**2 + 4*i**3 + 21 - 1 - 3*i - 57*i = 0 for i. -2, 1, 2 Let c(n) be the third derivative of -n**5/15 + 15*n**4/2 + 188*n**3/3 - 33*n**2. Factor c(h). -4*(h - 47)*(h + 2) Solve 82/9*u**3 - 226/9*u**2 + 2/9*u**4 - 80/9*u - 2/9*u**5 + 224/9 = 0. -7, -1, 1, 4 Suppose 5*g - 5 = -2*k, 5*g = 2*k + k + 5. Let u be 27/(-27)*(1 - g)/1. Factor 2/9*i - 4/9*i**3 + 2/9*i**5 + 0*i**2 + u + 0*i**4. 2*i*(i - 1)**2*(i + 1)**2/9 Let w = 657 - 653. Let n(r) be the third derivative of 0 - 1/30*r**6 - 1/10*r**5 - 5*r**2 + 0*r - 1/210*r**7 - 1/6*r**3 - 1/6*r**w. Factor n(u). -(u + 1)**4 Let w be 2 + -2 - 1 - -5. Suppose -6 + w = -k. Suppose 2*f - 2*f - f**k + 0*f**2 - f**3 = 0. What is f? -1, 0 Let x(z) be the third derivative of z**5/60 + z**4/8 + z**2 + 78. Find a, given that x(a) = 0. -3, 0 Factor -30*j + 7*j**3 - 85590*j**2 - 47*j**3 - 5*j**4 + 85525*j**2. -5*j*(j + 1)**2*(j + 6) Let s(m) = -25*m**2 - 170*m + 40. Let c(u) = -2*u**2 - 13*u + 3. Let x(l) = -40*c(l) + 3*s(l). Factor x(v). 5*v*(v + 2) Let n be (-4)/(20/(-19)) - ((16 - 27) + 14). Solve 2/5*a**5 - 2*a - 4/5*a**2 + 8/5*a**3 - n + 8/5*a**4 = 0. -2, -1, 1 Let q(l) be the second derivative of l**5/2 + 31*l**4/6 + 17*l**3 + 9*l**2 + 139*l - 2. Factor q(r). 2*(r + 3)**2*(5*r + 1) Suppose 33 + 32 = 5*a. Suppose -4*f + 27 + a = 0. Let -5*q**2 + q**2 + 3*q - 3*q**3 - 6 + f*q**2 = 0. What is q? -1, 1, 2 Let c(y) be the third derivative of y**10/7560 - y**9/3780 - y**4/6 - 4*y**2. Let n(f) be the second derivative of c(f). Factor n(j). 4*j**4*(j - 1) Find i such that 0*i**2 + 3/2*i**3 - 3/4*i**5 + 0 + 3/4*i**4 + 0*i = 0. -1, 0, 2 Suppose -22*l**2 + 0 + 12*l**3 + 32/3*l - 2/3*l**4 = 0. What is l? 0, 1, 16 Let u = 9749/9 + -1083. Factor u*o**2 - 2/9*o - 4/9. 2*(o - 2)*(o + 1)/9 Let i(y) be the third derivative of y**7/105 - y**6/10 + y**5/6 - y**2 + 1. Let i(c) = 0. What is c? 0, 1, 5 Let f(j) = 5*j + 13. Let y be f(10). Let c be 28/y - (-2)/(-9). Suppose -2/9*v**4 + 2/9*v**3 + 0 + c*v**2 - 2/9*v = 0. Calculate v. -1, 0, 1 Let g(w) = w + 17. Let a be g(-15). Let h(r) = -10*r**2 + 12*r - 2. Let f(k) = 10*k**2 - 12*k + 2. Let t(y) = a*h(y) + 3*f(y). Factor t(l). 2*(l - 1)*(5*l - 1) Let d(w) be the first derivative of -4 + 1/14*w**4 - 8/7*w - 4/7*w**3 + 9/7*w**2. Factor d(m). 2*(m - 4)*(m - 1)**2/7 Let y(s) be the first derivative of 5*s + 2*s**2 + 1 - 1/3*s**4 + 0*s**3. Let i(r) be the first derivative of y(r). Suppose i(k) = 0. Calculate k. -1, 1 Let a(y) be the first derivative of -2*y**3 - 4*y**2 - 4*y - 1. Let j(s) = -7*s**2 - 8*s - 5. Let b(m) = -5*a(m) + 4*j(m). Factor b(w). 2*w*(w + 4) Let o(a) be the third derivative of a**7/42 - a**6/24 - a**5/4 + 5*a**4/24 + 5*a**3/3 - 22*a**2 + 1. Determine t, given that o(t) = 0. -1, 1, 2 Let w be ((-1)/(-2))/(-20 + 1944/96). Factor 4/3*l - 4 + 1/3*l**w. (l - 2)*(l + 6)/3 Let n(x) = 9*x + 39. Let p be n(-3). Let k be (224/p)/(-4) + 5. What is l in 0 + k*l + l**3 + 4/3*l**2 = 0? -1, -1/3, 0 Let i(f) be the first derivative of 7*f**5 - 185*f**4/4 - 135*f**3 - 115*f**2/2 + 70*f - 242. Factor i(b). 5*(b - 7)*(b + 1)**2*(7*b - 2) Let z(v) be the third derivative of -v**5/210 - v**4/14 - 5*v**3/21 - 142*v**2 - 1. Factor z(w). -2*(w + 1)*(w + 5)/7 Let r = -516 + 518. Let f(t) be the third derivative of 0 + 3*t**r - 1/160*t**6 - 1/8*t**4 + 0*t**3 - 1/20*t**5 + 0*t. Factor f(u). -3*u*(u + 2)**2/4 Let p(r) = 4*r**3 - 2*r**2 + 9*r - 8. Let d be p(1). Factor 0*b - 2/9*b**2 + 0 + 2/9*b**d. 2*b**2*(b - 1)/9 Let o be (0/(-2))/(2 - 5 - -4). Let s be (-3)/(-6)*4/6. Factor o*j + 0 + s*j**2. j**2/3 Let a(x) be the first derivative of 4*x**3/3 - 74*x**2 - 284. Suppose a(j) = 0. Calculate j. 0, 37 Let x(i) be the first derivative of 325*i**3/3 + 265*i**2 + 160*i + 525. Factor x(j). 5*(5*j + 2)*(13*j + 16) Let h(q) be the third derivative of q**8/36960 + q**7/6930 - q**6/1320 + q**4/2 - 14*q**2. Let o(v) be the second derivative of h(v). Factor o(c). 2*c*(c - 1)*(c + 3)/11 Suppose 0 = -5*t + 2*t + 3. Let y be 2/(-4) - t/(-2). Factor -2*k**2 + 5*k**3 + y*k + 2*k**4 + 4*k - 11*k**3 + 2*k**5. 2*k*(k - 1)**2*(k + 1)*(k + 2) Factor -1/8*r**3 + 4096 + 12*r**2 - 384*r. -(r - 32)**3/8 Let g(h) be the first derivative of -9*h**5/5 - 15*h**4/2 + 9*h**3 + 6*h**2 + 96. Factor g(x). -3*x*(x - 1)*(x + 4)*(3*x + 1) Let d = 37 - 21. Let q = 20 - d. Suppose 0 + 20*b**4 - 6*b**3 + 3 + 6*b - 11*b**
{ "pile_set_name": "DM Mathematics" }
on denominator of 45/1192 and l? 15496 Suppose 5*u + 7*u = -10620. What is the common denominator of -5/12 and (u/(-70))/(-6 - (-1 - 2))? 84 Suppose -1470 = -12*t + 2*t. Let h(l) = -2*l**2 - 15*l + 26. Calculate the lowest common multiple of h(-8) and t. 882 Let s be -20 + 19 - 10994/(-18). Let p = 612 - s. What is the common denominator of p and -95/6? 18 Suppose 3*l - 7*l = x - 32, 0 = 3*x - l - 70. Suppose 0 = 6*m - 2*m - x. What is the lowest common multiple of 118/12 - 2*1/(-12) and m? 30 Let o = 5148 + -2195. What is the least common multiple of 1 and o? 2953 Calculate the lowest common multiple of 807/9 - ((-45)/(-25) + 17/(-15)) and 26/3 - (-3)/9. 801 Let c = -8 + 57. Suppose 0 = 4*h - c - 79. Suppose -4*g + h = -72. What is the lowest common multiple of 8 and g? 104 Let g = -8838 + 291656/33. Calculate the common denominator of 15/299 and g. 9867 Let k(d) = -d**2 + 109*d - 2549. Calculate the smallest common multiple of 2075 and k(52). 2075 Let n = -20463968/11 - -1863396. Let x be (4 - 7620/5)*-2. Let i = x - n. What is the common denominator of -14 and i? 11 Suppose 5*d = -6*k + 11*k - 140, -2*d - 32 = 4*k. Find the common denominator of ((-378)/d)/((-12)/(-32)) and -11/97. 97 Suppose -1428 = -3*l + 4*z, 5*l - 1108 - 1295 = -z. Let h = l + -426. Calculate the lowest common multiple of h and 36. 108 Let p = -46/3 + 33/2. Let b = 260024407/647779 + -5/117778. Let s = b + -401. Find the common denominator of s and p. 66 Let l = 28 - -7. Calculate the least common multiple of 45 and 56/l*(-15)/(-4). 90 Suppose -3*v + x = -59, -4*x = 2*v + v - 34. Suppose 10 - 8 = 23*g - 205. Calculate the least common multiple of g and v. 18 Find the common denominator of 64/1029 and (-69)/(-4)*(-1202)/206143. 2058 Calculate the common denominator of 2/28 + 13206/295120 and -85/18. 6120 Suppose 0 = -4*x - 3*z - 36, -4*z + 5*z = 4. Let t(o) = o**2 + 11*o - 6. Let f be t(-11). Find the common denominator of 10/9 and (-118)/x + (1 - (-6)/f). 18 Let r = -48283/12292 + -1/1756. Suppose -2*n = -2*u - 12, 10 = -43*u + 42*u - 3*n. Calculate the common denominator of r and (u/4)/7 + (-197)/12. 42 Let u be (96/(-168))/((-2)/7). Suppose 3*n - 2*m - 3*m = 22, -m = n - u. What is the lowest common multiple of n and 27? 108 Let q = -345 + 7853. Let z = -180257/24 + q. Calculate the common denominator of z and 53/42. 168 Let l = -67219743/6183268 + 3957/364. Let r = 1410581/1868570 + l. Find the common denominator of (-1)/(-4)*3*1085/(-175) and r. 220 Let g = -2829 - -50885/18. Calculate the common denominator of g and 57/4612. 41508 What is the common denominator of -7/872 and (225/130800)/(3/202)? 872 Suppose -12*q + 1664 = 4*q. Calculate the lowest common multiple of 40 and (5/(-4))/((-26)/q). 40 Let j = -3106649767/3780 - -821865. Calculate the common denominator of 71/60 and j. 3780 Suppose 4*t - 32 = 4*d, 2*t + 34 = -3*d + 7*t. Let a be (-278)/440 - (48/(-15) - d). Let u = -1069/132 - a. What is the common denominator of -83/21 and u? 21 Let h be 15/16*8212/(-6). Let m = 1287 + h. What is the common denominator of 47/(-7)*(-2205)/945 and m? 24 Find the common denominator of (-186)/(-19530)*265/(-2) and -103/444. 3108 Calculate the common denominator of 2/795 and 164/287 + 822/(-189). 2385 Let f = 37180 - 3978302/107. Let h = -6145/428 + f. What is the common denominator of h and 26/41? 164 Find the common denominator of 0 - 6 - -47*(-57)/(-504) and 47/252. 504 Suppose -5*x + 63 = -3*y, -5*x - y = 3*y - 56. Suppose 18 = 14*t - 12*t. Calculate the smallest common multiple of (4 - -1) + -10 + t and x. 12 Let w(s) be the third derivative of s**6/120 + s**5/15 - 3*s**4/8 - s**3 - 32*s**2. What is the lowest common multiple of w(-5) and 1? 14 Let y = 338374/21 + -16115. Calculate the common denominator of y and 173/1260. 1260 Let w(j) = -2*j**3 - 10*j**2 - 12*j - 28. Let l be w(-7). What is the common denominator of (-68)/l - (-4)/(-8) and 31/2? 126 Calculate the common denominator of 87/280 and 35793/(-75440) + (-8)/(-14)*(-21)/(-138). 560 Let b be -2 - (-86)/9*-6. Let a = 455/6 + b. Find the common denominator of 182*(-7)/704 + (15 - (-2624)/(-176)) and a. 32 Let o = -4887 + 4957. Suppose -3 = -4*p + 193. What is the smallest common multiple of p and o? 490 Suppose -q - 137 = 4*k, 2*k = -8 + 2. Let o = 221 + q. Let z = o - 68. Calculate the smallest common multiple of z and 2. 28 Let w(h) = h**2 - 13*h + 13. Let b be w(12). Let k(c) = 459*c**2 + 3*c - 3. Let x be k(b). Let f = 8249/18 - x. What is the common denominator of -59/24 and f? 72 Suppose -3*t - 6 = -3*p, -3*p + 4 = -t - 8. Suppose -f - 3*r = -63 - 20, -5*f + p*r + 395 = 0. Calculate the lowest common multiple of f and 24. 240 Let s = -252 + 269. Let k(i) = i + 109. What is the least common multiple of 12 and k(s)? 252 Let w(i) = 0 - 6*i - 11 + 0*i + 2. Let m be w(-2). Let z(k) = 2*k**3 - 5*k**2 + 3*k - 2. What is the lowest common multiple of z(m) and 8? 16 Let c = -373/2 - -170. What is the common denominator of -3 - (-2 + 62/4) and c? 2 Let k = -472/55 - 12/55. Let t be (-6)/(-16) - (24/64 - -2). Find the common denominator of (t/9)/((-100)/(-60)) + 0 and k. 15 Let g = -39 + 41. Find the common denominator of (g/(-70))/(22/(-2585)) and -145/42. 42 Suppose -11*r - 792 = 13*r. Calculate the least common multiple of 2525/275 + 6/r and 30. 90 Let k = 1/743 + 36405/1486. Find the common denominator of k and ((-50)/(-52) - 1)*32. 26 Let d = -3406 - 2877. Let p = d - -100493/16. Let x = -8670 - -155933/18. Find the common denominator of p and x. 144 Let i = -2711311/77526482 - -20/42457. What is the common denominator of i and 117/1660? 18260 Let h = 36 + 12. Let y = -10/1951 + 17699/27314. Find the common denominator of (-28)/h*107/(-14) and y. 168 Suppose -75*l + 61*l + 217602 = 184*l. What is the smallest common multiple of l and 1099? 1099 Calculate the common denominator of (-2)/195*-5*222/4625 and 31/3575. 17875 Suppose 3*t + 4*q - 99 = -36, 70 = 2*t - 2*q. Calculate the smallest common multiple of 55 and t. 1595 What is the common denominator of 64/243 and 74/(-96)*(-240)/(-3240)? 1944 What is the common denominator of 149/300 and -3 + 9 - (30556/6240 + 1)? 7800 Let h(c) = 41*c + 147. Let k be 1*-1*(-15 + 1). What is the smallest common multiple of 2 and h(k)? 1442 Suppose -276 + 12 = -12*g. Suppose 0 = l + 2, 3*i - g = -l + 6*l. Calculate the smallest common multiple of i and 18. 36 Let d = -55505/11 - -89363347/17710. Calculate the common denominator of -103/3864 and d. 19320 Let q(i) = 2*i**2 + 5*i - 4. Let t = 152 + -164. Let z = 36 + t. Calculate the lowest common multiple of z and q(-4). 24 Calculate the smallest common multiple of 2785 and (50/(-5))/(-1 + 12/16). 22280 Find the common denominator of (244/100)/(8/(-10)) and (676/(-160) - -1)/((-2)/16*6). 20 Suppose 3*y - 51 = -c, y - 13 = -3*c - 4. Suppose y*q = 14*q + 16. Find the common denominator of -31/12 and 606/q*23/7245. 420 Let u = -2133437 - -3285493097/1540. What is the common denominator of 16/385 and u? 1540 Let c be (-26)/42*((-79890)/(-25))/(-1). Let k = 1978 - c. What is the common denominator of -97/50 and k? 350 Let f(m) = m + 7. Let t be f(0). What is the least common multiple of 3/t + 121/77 and (-186)/(-5 - 1) + (1 - 1)? 62 Let z = -3 - 0. What is the common denominator of (-28)/(-80)*((-940)/(-14))/5 and 2552/(-480) + z/5? 60 Let u(s) = s + 14. Let w be u(-8). Suppose 4*i + 4 = w*i. Suppose i*t - 6 = t. What is the smallest common multiple of 4 and t? 12 Let m = 28161/176 + -1714/11. Find the common denominator of m and 65/1624. 3248 Let y = -496 + 96. Calculate the common denominator of -68/55 and (82/10 - 1) + (-80)/y. 55 Let f be 1/((9212/(-40))/(-7)). Let k = f + 29879/1974. Let b = 40531/140 - 2050/7. What is the common denominator of b and k? 60 Suppose 10*c - 29 = -39. What is the common denominator of -11/102 and (c + 3)/(540/485)? 918 Let d(b) = -b**3 + 2*b**2 + 169*b - 805. Calculate the common denominator of d(5) and 105/33*16/10. 11 Suppose -264 - 46 = -2*w. Let z = -115 + w. Calculate the least common multiple of z and 44. 440 Let l(c) = -75*c**3 - 4*c**2 - 2*c + 2. Calculate the smallest common multiple of 3 and l(-1). 75 Find the common denominator of -2 + -221*2/(-268) and (3360/528 - (0 + 3))/(-1). 1474 L
{ "pile_set_name": "DM Mathematics" }
*d**3 + 135/2*d**2 + 15/4*d**4 + 0. Factor b(w). -5*(w - 3)**3 Solve 186624/11 + 96768/11*p + 116*p**4 + 6/11*p**5 - 231536/11*p**2 + 65672/11*p**3 = 0 for p. -108, -2/3, 2 Determine n so that 6*n**3 - 2/7*n**4 + 66*n - 242/7*n**2 - 260/7 = 0. 1, 2, 5, 13 Find z such that 6*z + 0 + 14/3*z**3 + 2/3*z**4 + 10*z**2 = 0. -3, -1, 0 Let -1426452*o + 1426452*o - 2*o**2 + 128 = 0. Calculate o. -8, 8 Factor 9*y**4 + 2961*y**2 - 7*y**4 + 60*y**3 - 2415*y**2 + 1568*y. 2*y*(y + 7)**2*(y + 16) Let n(m) be the third derivative of -m**5/20 + 77*m**4 - 47432*m**3 - 216*m**2 + 2. Factor n(l). -3*(l - 308)**2 Let d = -4754/15 - -4774/15. Factor d - 25/3*g + 2*g**2. (g - 4)*(6*g - 1)/3 Let o(l) be the third derivative of -l**7/15 - 131*l**6/60 - 87*l**5/5 + 215*l**4/3 - 200*l**3/3 + 9*l**2 + 64. Solve o(j) = 0. -10, 2/7, 1 Let i(z) be the first derivative of z**3 + 174*z**2 - 708*z - 3577. Factor i(c). 3*(c - 2)*(c + 118) Suppose 2*p + 11 = 3*p. What is k in -10*k**2 + 23*k**2 - 9*k - p*k**2 - 3*k**2 + 10 = 0? -10, 1 Let -176/3 - 1/6*p**3 - 61/3*p + 25/6*p**2 = 0. What is p? -2, 11, 16 Suppose -16*b + 0 - 92*b**2 - 5/4*b**5 + 37/2*b**4 - 225/4*b**3 = 0. What is b? -1, -1/5, 0, 8 Let q(p) be the first derivative of p**4/14 - 116*p**3/21 + 57*p**2/7 + 304. Factor q(c). 2*c*(c - 57)*(c - 1)/7 Suppose -z - 24 = -5*t + 4*t, -3*t = 5*z - 104. Let o = -23 - -26. Factor 4*v**o + 16 + t*v + v**3 - 9*v**3 + 8*v**2. -4*(v - 4)*(v + 1)**2 Let f = 1861188 - 1928189845/1036. Let d = f + -5/148. Factor d*u + 0 - 2/7*u**2. -2*u*(u - 3)/7 Let q(j) be the first derivative of j**3/3 + 66*j**2 + 984*j + 22. Let x(w) = w**2 + 2*w - 1. Let v(c) = q(c) + 4*x(c). Factor v(m). 5*(m + 14)**2 Let w(y) be the first derivative of -49/2*y**4 + 139 + 0*y + 7/3*y**6 + 12*y**2 + 56/3*y**3 + 4/5*y**5. Let w(f) = 0. Calculate f. -3, -2/7, 0, 1, 2 Let m(z) be the second derivative of -2/3*z**3 + 47*z + 0*z**2 + 0 + 1/10*z**5 - 1/6*z**4. Solve m(h) = 0. -1, 0, 2 Let d(m) be the second derivative of -17*m**5/10 - 35*m**4/3 - 59*m**3/3 - 6*m**2 - 278*m. Solve d(g) = 0 for g. -3, -1, -2/17 Let p = 15763416/13 - 1212564. Factor 16/13*j + 0 - 22/13*j**3 + p*j**2. -2*j*(j - 4)*(11*j + 2)/13 Let k(q) be the third derivative of q**5/30 - 5*q**4/6 - 13*q**3/6 - 2*q**2 + 71. Let z be k(11). Suppose 15/2*b**2 + 3/2 - z*b = 0. Calculate b. 1/5, 1 What is h in 24/5*h + 2/5*h**4 + 18/5*h**3 + 8*h**2 + 0 = 0? -6, -2, -1, 0 Let d be ((-120)/16)/((144/114)/2). Let u = -277/24 - d. Factor -12 - 4*o - u*o**2. -(o + 6)**2/3 Let z(l) = 2*l**3 - 5*l**2 - 5. Let n be (64/(-448))/((-43)/21 + 2). Let v be z(n). Factor 8/15*y**3 + 2/3*y**2 + 4/15*y + 2/15*y**v + 0. 2*y*(y + 1)**2*(y + 2)/15 Factor -1/4*i**5 + 0*i + 0 + 2*i**4 + 0*i**2 - 7/4*i**3. -i**3*(i - 7)*(i - 1)/4 Let 34/5*c**4 + 0 + 344/5*c**2 + 48*c + 172/5*c**3 + 2/5*c**5 = 0. Calculate c. -10, -3, -2, 0 Let a(m) = 2*m**3 - 80*m**2 + 183*m - 7287. Let d be a(40). Factor -3/2*y**4 + 12*y**3 + 36*y - d*y**2 - 27/2. -3*(y - 3)**2*(y - 1)**2/2 Let r be 18 + 1098/(-60) + (-24)/(-16). Determine s, given that -4/5 - r*s**2 + 14/5*s = 0. 1/3, 2 Suppose 0*u + u = 2*n - 984, 0 = 5*n - u - 2466. Let d = n - 494. Factor d - 25/2*g - 1/2*g**3 - 5*g**2. -g*(g + 5)**2/2 Factor -994/5*i + 992/5 + 2/5*i**2. 2*(i - 496)*(i - 1)/5 Factor 15*j**4 - 512*j**3 - 252*j**2 + 86*j + 515*j**3 + 197*j - 240 + 209*j. 3*(j - 2)**2*(j + 5)*(5*j - 4) Let n(o) = 38*o**3 + 1506*o**2 + 120125*o. Let v(j) = 7*j**3 + 302*j**2 + 24025*j. Let q(s) = -2*n(s) + 11*v(s). Factor q(c). c*(c + 155)**2 Let j(m) be the second derivative of 7*m**4/8 + 31*m**3/2 - 198*m**2 - 63*m - 9. Factor j(z). 3*(z + 12)*(7*z - 22)/2 Solve -2*p**3 + 220*p + 134*p - 234*p - 14*p**2 = 0 for p. -12, 0, 5 Let w(b) be the first derivative of -3*b**4/16 - 133*b**3/6 - 173*b**2/2 - 86*b + 1936. Find g, given that w(g) = 0. -86, -2, -2/3 Suppose -r + 3*l + 4133 = -2*l, -2*l + 20800 = 5*r. Solve -5*b**2 - r + 1021 - 12443 + 660*b - 6200 = 0 for b. 66 Let g(o) be the first derivative of 52 + 15*o + 35/3*o**3 + 20*o**2 + 5/2*o**4. Solve g(h) = 0 for h. -3/2, -1 Factor 1152/7 + 2/7*c**4 + 40/7*c**3 + 296/7*c**2 + 960/7*c. 2*(c + 4)**2*(c + 6)**2/7 Let o(v) = -2*v**3 + 5*v**3 - 15 + v**2 + 13. Let f(h) = h**3 - 8*h**2 - 9*h - 3. Let u be f(9). Let c(i) = i - 1. Let s(n) = u*o(n) + 6*c(n). Factor s(k). -3*k*(k + 1)*(3*k - 2) Determine b so that 1/3*b**2 + 40/3*b - 41/3 = 0. -41, 1 Factor 2/11*m**2 + 730/11 - 732/11*m. 2*(m - 365)*(m - 1)/11 Suppose -4*j - 2*q + 18 = 0, j = -8*q + 3*q + 27. Let i = 119791/3 + -39927. Factor -5/6*h**j + i*h - 5/2. -5*(h - 3)*(h - 1)/6 Let y(l) be the third derivative of -l**8/56 - 39*l**7/70 + 19*l**6/5 - 101*l**5/10 + 57*l**4/4 - 23*l**3/2 + 2*l**2 - 7*l + 42. What is c in y(c) = 0? -23, 1/2, 1 Let r(n) be the second derivative of n**4/90 - 56*n**3/45 + 504*n. Solve r(t) = 0 for t. 0, 56 Suppose 28*m = 23*m + 10. Factor 24*r**m + 7*r + 2*r - 14*r - 3 - 16*r. 3*(r - 1)*(8*r + 1) Let g = 326739 + -326737. Factor 1/6*n**g + 1/2*n - 5/3. (n - 2)*(n + 5)/6 Suppose -412*a**4 - 75*a**3 + 54*a**2 + 407*a**4 + 26*a**2 = 0. What is a? -16, 0, 1 Let b(n) be the second derivative of -n**5 - 91*n**4/4 + 101*n**3/6 + 21*n**2 + 163*n - 12. Solve b(f) = 0. -14, -1/4, 3/5 Let j(q) = -2*q**2 - 546*q + 5079. Let t be j(9). Factor 36*s - 39/2*s**2 - 27/2 + t*s**3. 3*(s - 3)**2*(2*s - 1)/2 Let t(x) = -x**3 + 22*x**2 - 24*x - 316. Let j be t(20). Let l(a) be the second derivative of -8*a - 4/15*a**3 + 0 + 1/30*a**j + 4/5*a**2. Factor l(c). 2*(c - 2)**2/5 Let o(l) be the second derivative of 0 + 0*l**2 - 124*l + 0*l**3 + 3/10*l**5 - 5/3*l**4 + 1/15*l**6. What is x in o(x) = 0? -5, 0, 2 Factor 0 - 6*x + 37/6*x**2 - 1/6*x**3. -x*(x - 36)*(x - 1)/6 Let g = 6/37 + 44/185. Let q be -200 + 217 + -3*4 + -3. Factor 3/5*a + 0 - g*a**q - 1/5*a**3. -a*(a - 1)*(a + 3)/5 Solve -4490*x**4 - 7224*x**5 + 3982*x**3 + 4 - 72*x - 106*x - 1613*x**4 + 1822*x**2 - 3356*x**5 - 2499*x**4 = 0. -1, -2/5, 1/23, 1/2 Let b(p) be the third derivative of 63*p**2 + 0*p - 23/42*p**4 + 4/735*p**7 + 0 + 4/7*p**3 + 1/588*p**8 - 3/35*p**6 + 32/105*p**5. Find a, given that b(a) = 0. -6, 1 Suppose -57 + 49 = -4*p. Let -2*s**5 + 54*s**4 + 238 + 50 - 912*s + 250*s**3 - 688*s**3 + 122*s**2 + 258*s**2 + 630*s**p = 0. What is s? 1, 12 Find i such that 31008 + 7*i**2 - 68344 - 2*i**2 - 886*i - 158913 - 6*i**2 = 0. -443 Let p(x) be the second derivative of -51*x**5/40 + 31*x**4/8 - 11*x**3/4 - 9*x**2/4 + 694*x. Factor p(n). -3*(n - 1)**2*(17*n + 3)/2 Factor 23808/7*y + 432*y**2 + 159/7*y**3 + 61440/7 + 3/7*y**4. 3*(y + 5)*(y + 16)**3/7 Factor -39/5*u + 308/5 + 1/5*u**2. (u - 28)*(u - 11)/5 Suppose -10*w - 60 = 840. Let a be (-2)/(-9)*(w/(-14))/5. Solve -4/7*h**2 - 6/7*h**3 + 0*h**4 + a*h**5 + 0*h + 0 = 0 for h. -1, 0, 2 Suppose -25*v + 22*v - 5*s = 5, s + 24 = 4*v. Let q be 55/v*(-14)/(-70). Let 2/5 - q*k + k**2 = 0. What is k? 1/5, 2 Let w = -10004 - -10004. Let m(f) be the first derivative of 1/4*f**4 + w*f + 1/5*f**5 + 0*f**2 + 18 - 2*f**3. Solve m(z) = 0 for z. -3, 0, 2 Suppose -4328*g = -4015*g. Find x, given that -21/4*x + g - 3/4*x**2 = 0. -7, 0 Let u(b) be the third derivative of 3*b**8/280 - 52*b**7/525 + 41*b**6/300 + 23*b**5/25 - 5*b**4/3 - 136*b**3/15 + b**2 - 2*b + 1218. Solve u(g) = 0. -1, 2, 34/9 Factor -364 + 263 + 1181 - 39*p - 204*p - 19*p - 2*p**2. -2*(p - 4)*(p + 135) Let a(v) be the first derivative of -1/27*v**6 + 2/45*v**5 + 0*v**3 + 0*v**2 + 0*v - 36 + 1/3*v**4. Factor a(m). -2*m**3*(m - 3)*(m + 2)/9 Suppose -82*d - 1114 = -1360. Let p(a) be the third derivative of 0*a**4 + 11*a**2 + 0 + 1/90*a**5 - 1/120*a**6 + 0*a**d + 0*a. Let p(g) = 0. What is g? 0, 2/3 Let k(m) be the third derivative of -m**5/330 - 5*m**4/33 + 7*m**3/11 + 474*m**2. Solve k(a) = 0 for a. -21, 1 Let b be (-2)/((-88)/33) + 183/488. Factor 0*h**2 - b*h**4 + 0 + 3/8*h**5 + 3/4*h**3 + 0*h. 3*h**3*(h - 2)*(h - 1)/8 Let m be (1697 - 1711) + -2*170/(-24). Factor -79/6*n**2 + m*n**3 - 77/6 + 155/6*n. (n - 77)*(n - 1)**2/6 Let r(w) = 3*w**2 - 9*w. Let x be r(-7). Factor x*l + 1925 - 70*l + 525 + 2*l**2. 2*(l + 35)**2 Factor -195/2*t**2 + 151*t + 14*t**3 + 1/2*t**4 - 68. (t - 4)*(t - 1)**2*(t + 34)/2 Suppose -8*i - i = 3*i. Suppose 18 = r - 2*o - o, i = 3*o + 15. Factor 3/5*g - 3/5*g**
{ "pile_set_name": "DM Mathematics" }
)? 3 Let v(b) = b**3 + 5. Suppose -5*j + 14 = 3*y - 1, -5*j - 2*y = -10. Determine v(j). 5 Let l(f) be the second derivative of f**3/6 - 3*f**2/2 - 30*f. Let v = 1 - -2. Suppose -5*q + 4*g + 4 = 0, -8 = q + 5*g - v. Calculate l(q). -3 Suppose -3*i - 8 = -i. Let f(h) = h**2 + 3*h + 0*h + 3 - 4*h - 4. Let c(y) = -y**3 + 3*y**2 - 4*y - 4. Let r(w) = i*f(w) + c(w). Determine r(0). 0 Let s(x) = -4*x + 21. Let i be s(4). Let d(a) = -a**3 + 6*a**2 - 8*a + 7. Calculate d(i). -8 Let c(g) be the first derivative of g**4/4 - 7*g**3/3 - g**2/2 + g + 4. Give c(7). -6 Let u(v) = 8*v. Suppose 2*k - 3*k = 0. Let g be (2 + -2)/1 - k. Suppose g = -3*d - d + b + 8, -6 = -2*d + b. Give u(d). 8 Let l(c) = -c**2 + 4*c - 5. Let f(m) = -m**2 + 6*m - 4. Suppose 2 = -y + 6. Let n be f(y). What is l(n)? -5 Let i = -8 + 2. Let l(q) = -q**2 - 5*q - 3. Give l(i). -9 Suppose z - 12 = -5*w + w, 3*w - 2*z = 9. Let y(j) = j**3 - 2*j**2 - 3*j. Determine y(w). 0 Let u(t) = -t**2 + 6*t - 4. Let x be u(5). Let w(d) = -1 + d - x + 2. What is w(2)? 2 Let g(h) = 2*h**2 - 7*h + 6. Let t be g(5). Let r(a) = 7 + 8*a - 8*a + 10*a. Let y(b) = 3*b + 2. Let w(z) = t*y(z) - 6*r(z). Calculate w(-1). -3 Let k(d) = d + 3. Let c be k(-7). Suppose 4*h - 2 + 21 = w, 0 = h + w + 11. Let z(a) = a. Let j(q) = 5*q. Let g(p) = h*z(p) + j(p). What is g(c)? 4 Let i(z) = -5*z**2 - 3. Let v(o) = -21*o**2 - 13. Let d(a) = 18*i(a) - 4*v(a). Let y(q) = -q**3 - q. Let x(t) = -d(t) + y(t). What is x(6)? -4 Let j(r) be the second derivative of r**5/20 - r**4/4 - 2*r**3/3 + r**2/2 - 10*r. Suppose 4*m - 5 = -3*u + 23, -5*u = 2*m - 28. Calculate j(u). 1 Suppose 3*n - 4 = -n, 5*n - 9 = -2*w. Suppose -2*o - 10 = -y - 7*o, w*y - 2*o + 4 = 0. Let j(z) = -z + 2*z + 3 - 5. What is j(y)? -2 Let g(r) = -r**3 - 5*r**2 - 6*r - 5. Let b(a) = -a**2 - 3*a + 6. Let y be b(-5). Calculate g(y). 3 Let s(v) = 5*v**2 - v - 3. Let u(x) = -x**2 + 1. Let l = 2 - 2. Suppose 3*r + 18 = -l. Let m(y) = r*u(y) - s(y). Determine m(-3). 3 Let n(d) = -d**2 - d - 1. Let k be n(-3). Let x(q) = -q**2 - 7*q + 3. Let v be x(k). Let u(o) = o**3 - 4*o**2 + 3*o - 3. Give u(v). -3 Suppose 2*g + 4*d + 10 = 0, d - 11 = 4*g + 9. Let h(o) = -o**3 - 4*o**2 + 6*o + 1. Give h(g). -4 Let k(p) be the second derivative of p**4/12 + 5*p**3/6 + 7*p. Let c = 0 - -5. Suppose -4*j - 4 = u + u, -5*j - 15 = c*u. Give k(u). -4 Let n(h) = -5*h**2 - 2 - 2*h**2 + 4*h**2 - 5*h. What is n(-3)? -14 Let y(o) = 2 + 2 - 4*o + 1 - 4. Let l = 1 + 1. Suppose l*d + 5 = 7*d. Determine y(d). -3 Suppose -87 = 5*h + 23. Let l = -15 - h. Let k be (2/l)/((-2)/(-14)). Let v(t) = -5*t + 1. What is v(k)? -9 Let p(d) = -d - 13. Suppose 4*z - 4*f + 44 = -0*z, -3*f = 4*z + 9. Determine p(z). -7 Let p(y) = -y**3 + 6*y**2 + y - 4. Let a(i) = -i**3 - 2*i**2 + i. Let b be a(-3). Let q be p(b). Let t(n) = n**q + 3*n - 3*n. What is t(-1)? 1 Let h(c) be the third derivative of -1/24*c**4 + 4*c**2 + 0*c**3 + 0 + 0*c. Determine h(0). 0 Let p(z) = 1. Let b(r) = -4*r + 6. Let a(c) = b(c) + p(c). What is a(7)? -21 Let p(h) = h**3 + 1. Let v(m) = 3*m**3 - 5*m**2 + 7. Let z(o) = -2*p(o) + v(o). Suppose 4*j - 14 = -2*d + 4*d, 0 = 4*j + d - 23. What is z(j)? 5 Suppose 1 = 2*l - 7. Suppose -l*t + 10 = t. Let s(k) = k**3 - 2*k**2 + 3*k - 1. Determine s(t). 5 Let q = 36 - 31. Let b(r) be the second derivative of r**5/20 - r**4/2 + 2*r**3/3 + r**2/2 - 2*r. Give b(q). -4 Let y(d) = 2*d**3 + 3*d**2 - 3*d + 3. Let c(w) = 3*w**2 - 3*w + 2. Let l be c(1). Determine y(l). 25 Let v = 171 + -179. Let o(g) = g + 3. What is o(v)? -5 Let c(x) = -x**2 - 2*x + 9. Let v be c(-6). Let b = v - -12. Let g(i) = -2*i - 3. What is g(b)? 3 Let p(v) = 2*v**3 + 8*v**2 - 8*v + 7. Let o(w) = 3*w**3 + 15*w**2 - 15*w + 14. Let n(g) = -3*o(g) + 5*p(g). What is n(5)? 18 Let v(h) = -h**2 + 3*h - 2. Suppose 0*x = -3*x. Let u = 4 + x. What is v(u)? -6 Let w(r) = -r + 2. Let h be 6/(-4)*52/6. Let a = h - -8. Give w(a). 7 Suppose 0 = -3*c + 3*u + 4 + 14, 3*c = 2*u + 14. Suppose -b - b = c. Let d(m) = 7*m**3 - m**2 + 1. Calculate d(b). -7 Let w(d) = -2*d + 3. Suppose 5*a - 3*v = -0*v + 90, 5*v = 0. Suppose 5*c = 32 + a. Let i = 7 - c. What is w(i)? 9 Let q(b) = b**2 + 5*b - 7. Let y be 4/(-8)*(-52)/2. Let i = 7 - y. What is q(i)? -1 Let d be (-1)/((9/21)/(-3)). Let c(i) = 2*i**3 - 17*i**2 - 3*i + 5. Let y(x) = -3*x**3 + 25*x**2 + 4*x - 7. Let h(r) = d*c(r) + 5*y(r). Calculate h(6). -6 Let l(z) be the first derivative of 7*z + 7/2*z**2 + 2 - 1/3*z**3. Give l(6). 13 Let h(y) = 2*y - 4. Let j(x) be the second derivative of -x**5/20 + x**4/6 + 5*x**3/6 - 3*x**2/2 - 6*x. Let l be j(3). Determine h(l). 2 Let p(x) = 5*x**2 + 2*x + 1. Let z = -17 - -15. Determine p(z). 17 Let k(j) = 2*j. Suppose -s - 2*s - 3 = -3*t, -5*t + 21 = 3*s. Suppose t*g + 2 = -13. Let c be 2*1 - g/5. Calculate k(c). 6 Let j = 105 - 103. Suppose 4*p - 4 = 2*q, 4*p - 3*q = -8*q - 10. Let z = j - p. Let b(r) = 2*r**3 - 4*r**2 + r + 2. Determine b(z). 4 Let c = 6 + -19. Let v = 59 + -41. Let f = v + c. Let z(x) = -x**3 + 6*x**2 - 4*x - 1. Give z(f). 4 Let m(u) = -u - 1. Let w(x) = 3*x + 1. Let t be 22/12 + (-5)/(-30). Let i(r) = t*m(r) + w(r). Let q(b) = -b**3 - 6*b**2 - b - 4. Let p be q(-6). Determine i(p). 1 Let z(n) be the third derivative of n**6/120 + n**5/40 + n**4/24 + n**3/2 + 3*n**2. Let c(y) be the first derivative of z(y). Determine c(-2). 7 Suppose 2*h - 15 = 5*h. Let z(w) = w**3 + 4*w**2 - 5*w + 5. What is z(h)? 5 Let n(x) be the third derivative of 0 + 1/3*x**3 + 1/24*x**4 + 1/120*x**6 + 0*x - 1/60*x**5 - 2*x**2. Give n(0). 2 Let c(p) = -p**2 - p - 1. Let j be c(-1). Let w(s) = -6*s**2 + 1. Calculate w(j). -5 Let x be 2/10 + 54/30. Let v(s) = 4*s - 1. Determine v(x). 7 Suppose 0 = -4*z - 0 + 16. Let m(j) = -2*j**2 + 11*j - 6. Let x(o) = -o + 1. Let d(c) = m(c) + 5*x(c). Give d(z). -9 Let u(k) = k**2 + 7*k + 2. Suppose -7*p - 25 = -6*p. Let z = 19 + p. What is u(z)? -4 Let o(s) = 2*s + 1. Let a(p) = -14*p. Let b(w) = -a(w) - 8*o(w). Calculate b(-7). 6 Let p(f) be the first derivative of f**3/3 - f**2/2 + 4*f - 2. Calculate p(0). 4 Let f be 2/(-2) + -1 + 1. Let a = 17 + -13. Let t(q) = -a*q + 47 - 47. Determine t(f). 4 Let f(n) be the third derivative of n**5/60 - n**4/2 + 7*n**3/3 - 62*n**2. Calculate f(10). -6 Let v(m) be the third derivative of -m**5/60 - m**4/4 + 4*m**3/3 - 4*m**2 - 4*m. Let n(l) = l**2 + 7*l. Let z be n(-6). Give v(z). 8 Let s(t) = t**2 - t + 1. Let n be s(2). Suppose 3*h - 12 = 0, j - 4*j = -2*h - 1. Suppose -11 = -l - j*i, -n*l + i + 14 = 1. Let f(y) = -y + 9. What is f(l)? 4 Suppose 18 = -2*d + 2*n, -2*d - d - 3*n = -3. Let v(u) = 2*u - u**3 + 2 - 4*u**2 - 3 + 5 + 6 - 4. What is v(d)? -2 Let t = 18 - 6. Let u(w) = w**2 - 13*w + 17. Let m be u(t). Let d(i) = i**2 - 7*i + 4. Give d(m). -6 Let n be ((-42)/49)/((-2)/14)*-1. Let r(g) = g**3 + 5*g**2 - 8*g - 3. What is r(n)? 9 Suppose 4 = 4*w, h - 3*w + 5*w - 5 = 0. Let j(k) = 11 + k - 12 + 3. Give j(h). 5 Suppose -i + 2 + 0 = 0. Let c(w) be the first derivative of w**3 + 3*w**2/2 - w + 2. Let o(x) = -x**2 - x. Let h(q) = -3*c(q) - 7*o(q). Determine h(i). -9 Let b be (-2)/2*(2 + -3). Let y(g) = -8*g + 8. Let d(c) = -17*c + 17. Let n(v) = 3*d(v) - 7*y(v). Let q(h) = 10*h - 9. Let f(x) = 11*n(x) - 6*q(x). Give f(b). -6 Let d(u) = -u**2 + 6*u - 2. Suppose 4*g + 4*i = 36, -2*g + 6 = -3*g + 2*i. What is d(g)? 6 Let g(w) = -8*w**3 + 6*w**2 + 6*w + 9. Let v(n) = 7*n**3 - 6*n**2 - 6*n - 8. Let x(s) = -6*g(s) - 7*v(s). Give x(7). -5 Let k(w) = 0 + w - 3 - 2*w - 3. Determine k(0). -6 Let o(y) = -y**3 - 5*y**2 + y + 4. Suppose 0 = -0*l + 5*l + 25. Determine o(l). -1 Let z(p) be the third derivative of -p**4/12 + 2*p**2. Give z(4). -8 Suppose 11 = -5*l - 4. Let d(x) = 2*x + 3. Give d(l). -3 Let i(k) = 5*k**2 + k - 15. Let m(g) = -10*g**2 - 3*g + 31. Let t(y) = 7*i(y) + 3*m(y). Let j(z) = -z**2 - z + 1. Let q(f) = 6*j(f) + t(f). Determine q(-6). 6 Let l(z) be the first derivative of -z**2/2 - 7*z + 4. Let o(h) = 1. Let t(g) = -l(g) - 4*o(g). What is t(0)? 3 Let f(g) = 9*g**3 - 10*g**3 - g**2 - 3 + 0*g**3 + 4. What is f(1)? -1 Let d(x) = x**3 - 7*x - 4 + 0 - 1 + 6*x**2. Let t be d(-7). Let p(z) = -1 - 1 - z**2 - 6*z + 1 + 0. What is p(t)? 4 Let g(l) = l**2 + 4*l - 1. Let p be ((-8)/(-10))/(-7 + 412/60). Determine
{ "pile_set_name": "DM Mathematics" }
et x(r) = -r**2 - 5*r - 47. Let y be x(-9). Let k = -85 - y. Which is the biggest value? (a) -4 (b) -2/9 (c) k (d) 5/3 d Let x = -39.8 + 33.31. Let s = x - 0.51. What is the second biggest value in -2, -3, s? -3 Let v = 91 - 277/3. Let p(l) = 53*l + 49. Let f be p(-4). Let w = f + 161. What is the smallest value in v, 1/2, -4, w? -4 Let u = -0.37 + 0.4. Let y = 2.75 - 3.9. Let n = 0.85 + y. What is the second biggest value in u, n, 3? u Let t = 3.1102 + 0.8898. Which is the fourth smallest value? (a) t (b) -5 (c) -19.3 (d) 0 a Let t(l) = l**3 - 7*l**2 + 5*l + 12. Let s be t(6). Suppose p = 2*p + s. Let n be p/(-180)*5/(-2). Which is the second biggest value? (a) -1 (b) 3/14 (c) n c Let k = 737332 + -2949325/4. Let l = 0.1 + -0.3. Let s = 0.1 + l. What is the second smallest value in -2/5, 3/8, k, s? s Let k = -42.934 + 43.734. Let a = 0.3 + -1.3. What is the second smallest value in -9, a, k? a Let p = 1.5 + -8.5. Let k = -5198 + 5198.4. What is the biggest value in p, k, 3/4? 3/4 Suppose 0 = 7*j - j - 24. Suppose 0 = -b + 3*a - j, -2*b + 18 = 5*a + 26. What is the smallest value in 0.23, b, 3? b Let p = 154 - 147.15. Let h = p - 10.85. What is the second biggest value in h, -0.2, -2/3? -2/3 Let b = -5830 - -5829.8. What is the fifth smallest value in b, -4, -13, 2, 1/13? 2 Let k(u) be the second derivative of 20*u**3/3 + 165*u**2/2 - 9*u + 13. Let c be k(-4). Let f = -0.2 + -0.3. What is the third biggest value in -27, f, c, 0? f Suppose -7*u - w = 24, 9*w - 6*w = -u + 8. Let c = 16 - 26. What is the third biggest value in u, 2/31, c? c Let u = -0.17 - -0.1. Suppose 0 = -3*f + 2*f. Let q = -27923.5 + 27924. Which is the second smallest value? (a) q (b) u (c) f c Let d = -427 - -5. Let m = d + 422. What is the biggest value in m, -3, 4? 4 Let g be 4/(-38)*(-4 - -3). Let u = -1128.1 - -1122.1. Which is the biggest value? (a) -0.3 (b) 2/3 (c) u (d) g b Suppose 9308*s + 13 = 9300*s - 3. What is the biggest value in s, 1.5, -2/19, -132? 1.5 Let k(f) = 17*f - 25. Let r(x) = -20*x + 25. Let d(y) = -6*k(y) - 5*r(y). Let q be d(13). Which is the second biggest value? (a) q (b) -4 (c) -0.3 a Let j be (-57)/63 + (-1)/(-3). Let s = -345573/4 + 86394. Which is the fourth biggest value? (a) s (b) 1 (c) j (d) 39 c Let z = 162.5 - 157.5. Suppose -3*q = q - 48. Let h = q - 8. What is the second smallest value in 1/4, h, z, 0.3? 0.3 Let w(f) = f**3 - 6*f**2 - 16*f + 28. Let n be w(8). Suppose 0 = -n*u + 26*u. What is the fourth biggest value in u, 5, -0.03, 0.4? -0.03 Let i = -29.012 + 1.012. What is the third biggest value in -0.2, i, 47? i Let k = -3440 + 3440.3. What is the third biggest value in k, 0.2, -0.037? -0.037 Let o = 21.94 + -22.94. What is the third biggest value in -4/17, 0.54, 3, -2, o? -4/17 Let j = -62 + 619/10. Let p(q) = -q**3 - 41*q**2 + 19*q + 111. Let z be p(2). Which is the smallest value? (a) z (b) j (c) 0 a Let r(x) = x**2 - 11*x - 5. Let n be r(5). Let d be 4/(-7 - -3) + n. Let o be 6/(-1)*d/(-27). Which is the smallest value? (a) 1/2 (b) -2 (c) o c Let l = -353.8 - -829.8. Which is the third smallest value? (a) 3 (b) l (c) -1 b Let q = -3 + 2.5. Let m = -2/14649 + 2754026/102543. Let w = 27 - m. What is the smallest value in w, 9, q? q Let z = -463.8308 + 464. Let v = z + -0.0692. What is the fourth biggest value in v, -1, 5, -6? -6 Let c = 230 + -205.2. Let t = -25.38 + c. What is the third biggest value in t, 4, 2? t Let t = -7598 - -7581. What is the second smallest value in 8, t, 2/9? 2/9 Let i = -30.63 - -31. Let s = 1.63 + i. Let v = 0.17 - -0.83. Which is the second biggest value? (a) s (b) v (c) 2/3 (d) 2/9 b Let h = -13.1 - -12.736. Let v = h - -10.364. Let p = -0.11 - -0.31. What is the second smallest value in v, 5/4, 5, p? 5/4 Let q = -343 + 344. Let m be q - ((-46)/7)/(-3 - 3). Suppose 0 = -v - 3*v + 12, 2*o - 3 = -v. What is the biggest value in m, -2, 4/7, o? 4/7 Let l = -2238 - -2238.5. Which is the second smallest value? (a) 113 (b) 0 (c) l c Let p = -2221.1 - -2222. Which is the third biggest value? (a) 7 (b) p (c) 5 b Let q = -0.0538 - -249.0538. Let s = -250.1 + q. Which is the third biggest value? (a) -0.4 (b) 3/7 (c) -0.5 (d) s c Let t be 4 + -4 - (2 + 2). Let c = -8 - -7. Let u = 3 - c. What is the second smallest value in t, 2/11, u? 2/11 Let d = 4/5433 + -5449/21732. What is the second biggest value in d, 59, 3, 2? 3 Let v = -347 + 358.2. Let l = v - 7.2. What is the biggest value in -1.2, l, -0.4, 3/2? l Let v = -5296 + 5294. Which is the smallest value? (a) -0.1 (b) -13 (c) v (d) 5 (e) -1/5 b Let o = 1.02516 - -0.07484. What is the smallest value in -0.5, o, -2/19? -0.5 Let m = -53.24 + 0.74. Let z = m - -53. Let o be (-1)/(-4)*(-24)/30. What is the smallest value in 1/5, z, o? o Suppose 18*v = 19*v - w + 3, w - 4 = 0. What is the third smallest value in v, 0, -125? v Let o = -885.8 - -892.8. Which is the second smallest value? (a) -11 (b) -39 (c) o a Let q = -2923 + 2922.6. What is the fourth smallest value in q, -0.1, -63, -4? -0.1 Let x = -160.3 - 1.7. Let w = x - -162. Which is the fourth biggest value? (a) 5 (b) w (c) 2 (d) 1/6 b Let v = -92930 + 92846. Let o = -3 + 2.8. Which is the third smallest value? (a) -2 (b) v (c) o c Let v = 11847 - 11854. Let o = -0.5 + 0.5. What is the third biggest value in o, v, -0.3? v Let j = 1783 + -1767. What is the third biggest value in -0.5, -5, -1/6, j? -0.5 Let d = -44 - -46. Let r = -367/70 - -51/10. Let t = 1.2 + -0.8. Which is the third biggest value? (a) d (b) r (c) t b Let w = -5411 - -5404. What is the fourth smallest value in -2/7, 2, -1/5, -0.01, w? -0.01 Let s = 16714 - 16710. Which is the fourth biggest value? (a) 1 (b) 1/3 (c) 1/12 (d) s (e) -5 c Let m(z) = -z**3 + z**2 - z. Let j be m(0). Let q = -2095 + 228358/109. Let g = -245/981 + q. Which is the fourth smallest value? (a) 3 (b) -0.2 (c) g (d) j a Let w = -2 + 1.9. Let n = -15973 - -111812/7. What is the fourth smallest value in -0.2, 3/10, w, n? 3/10 Let x = -3431.1 + 3431. What is the smallest value in -1/9, 0.4, 1/45, x? -1/9 Suppose 5*w - 3*j = 0, -7*j = -4*j + 15. Let v(m) = -9*m - 16. Let t be v(w). Which is the smallest value? (a) t (b) 1/4 (c) 2/5 (d) 0.2 d Let o = -31903 - -31906. What is the third smallest value in o, 612.8, -0.2? 612.8 Let f = 29.6 - 29. Let r = -1248 - -1253. Which is the third biggest value? (a) -1.1 (b) f (c) r a Let p = 12.5 + -29.3. Let r = p - -13.8. Which is the second biggest value? (a) r (b) 1/4 (c) -1 (d) 0.2 d Let h be 1/(-2)*(-996)/264 - 2. Let s = h + -151/220. Let l = 0.31 - 0.25. What is the smallest value in 2, s, -0.2, l? s Let l = 7 + -15. Let v = -25.835 - -27.835. What is the third smallest value in l, -1/5, -2, v? -1/5 Let o be (2/(-6))/((-2)/(-3)). Let l = 1385 + -1380. What is the second smallest value in o, l, -0.2? -0.2 Let x = 8250 - 140248/17. Let a = 2 - -1. What is the smallest value in -1, a, x? -1 Suppose 12*w - 16*w - 1472 = 0. Let v = w - -2947/8. Which is the smallest value? (a) 0.1 (b) 1/5 (c) 1 (d) v a Let m be (32/(-360))/((-16)/72)*1/(-1). Which is the fourth smallest value? (a) 1 (b) m (c) 21 (d) 4 (e) 0.5 d Let j be (-17)/(-19) - (4 + -3). Let u = -53490.3 - -53490. What is the fourth smallest value in -0.1, j, u, -9? -0.1 Suppose 8*v - 264 = -16*v. Let d(w) = -4*w + 37. Suppose 2*q - 6*q = -36. Let m be d(q). Which is the second smallest value? (a) m (b) 0.3 (c) v a Let y(f) = -f**3 - 5*f**2 - f + 19. Let b be y(-3). Let p be b + 0 - (7 + 0). What is the third biggest value in p, 0.5, -5, 0.2? p Let z = -134.11 - 217.89. Which is the third smallest value? (a) -7 (b) 2 (c) z b Suppose -5*f = 3*p + 2076, 0 = 3*f + 26*p - 28*p + 1238. Let u be -4*((-2)/(-3) + f/540). What is the third biggest value in u, 18, 2, 2/7? u Let t = 552 - 1105/2. Which is the second biggest value? (a) t (b) 6 (c) 0 (d) -1/3 c Let h = 8418 - 8435. Which is the fourth biggest value? (a) -5 (b) h (c) -0.1 (d) 0.4 b Let j = 1.96 - -0.04. Let n = 2030.6 - 2013.6. What is the third biggest value in n, j, 4? j Let g = 88 + -618/7. Let q = -0.88 - -0.38. Let w = -3101 - -3095. Which is the third smallest value? (a) w (b) g (c) q (d) -3 c Let r = 89
{ "pile_set_name": "DM Mathematics" }
/20*-1)/((-36)/(-15)) -1/8 Evaluate -7 - (-6)/3 - 5 - -5. -5 Evaluate 9/(-30)*56/42. -2/5 Evaluate (-4)/((-24)/(-26)) - 1/(-3). -4 What is the value of (-1)/(-1) - (-110)/(-130)? 2/13 Calculate 18/(-27)*(-12)/(-64). -1/8 Evaluate (-3)/(-2)*300/45. 10 Calculate 2/(-2)*5/((-20)/(-12)). -3 What is (3 - (-63)/(-35))/(4/(-10))? -3 What is the value of 4 - 13/3 - (-40)/12? 3 ((3/4)/(-3))/(5/(-16)) 4/5 What is the value of 0 + -1 - (-30)/6? 4 Evaluate 6/(-27)*(3 + 60/(-16)). 1/6 What is 6 + 10*(-6)/12? 1 Calculate (-12)/9 - (-11 - -1)/5. 2/3 Calculate (-1 + (-2)/(-4))*(-12)/(-21). -2/7 Evaluate (-14)/30*(-26)/(-455)*5. -2/15 Calculate 1/((-6)/(-48)*-2). -4 ((-24)/(-10))/((-8)/(-20)) - 1 5 What is (-10 + 648/63)*(-21)/(-4)? 3/2 (1625/525 - (-2)/(-21)) + 0 3 Evaluate -4*(4/(-16))/1. 1 56/(-84) + (-51)/(-9) 5 What is ((-2)/45)/(4/12)? -2/15 Evaluate ((-21)/21)/(-2 + 44/24). 6 Calculate (8/10)/(4/(-6)). -6/5 What is (-2)/((-156)/54 - 4/(-18))? 3/4 Calculate 2 - 55/22 - (-1)/(-2). -1 What is (-30)/(-20)*2*-1? -3 What is 62/(-36) + (-54)/(-243)? -3/2 Calculate (-230)/(-460)*(-2)/(-2). 1/2 What is the value of 5 + -9 + 0/(-1)? -4 What is the value of -3 + 18/117 + 877/299? 2/23 What is (5 - 2)/(-10 - (-2 - 7))? -3 What is (-24)/18*(-12)/8? 2 Evaluate 6/35 + 1 - (-16)/(-28). 3/5 6/(-9)*9/(-15) 2/5 Evaluate (-5 - (-548)/108)*-3. -2/9 Evaluate (-4)/(-20)*65 - (-6 - -10). 9 What is the value of 12/(-48) + 9/4? 2 What is (-46)/10 - 2/5? -5 (1 + 55/(-10))*18/189 -3/7 What is the value of (-38)/(-209) - (3 + 9/(-11))? -2 What is the value of 0 + (-2 - 8) - -15? 5 Evaluate (16/3)/(-8)*(0 - -3). -2 Calculate (-2)/(-4) - (-1)/((-14)/(-7)). 1 Evaluate (-36)/126*(-6)/4. 3/7 Evaluate (-65)/(-70) - 3/6. 3/7 Calculate 0 + (-4)/10 + 48/195. -2/13 Evaluate 96/(-21) + 9/(-21). -5 Calculate 1/5*9*(0 - 5). -9 (-28)/(-6) + 4/12 5 Evaluate 5 - -2 - (-306)/(-42). -2/7 -5 + 25/5 + 1 + -6 -5 Calculate ((-8)/6)/(148/(-666)). 6 What is the value of (-1)/(-5) + (-1)/(-275)*-5? 2/11 What is 1*(-12)/(-11) + 25/(-25)? 1/11 What is ((-12)/(-8))/(6/(-1))? -1/4 (-7)/2*(-2)/(140/15) 3/4 What is the value of (8/(-5))/(38/(-95))? 4 Evaluate (-201)/(-24) - (58/(-16) + 4). 8 What is the value of (22/20 - 1)/((-7)/14)? -1/5 -2*(437/(-114) + (-8)/12) 9 What is (-9)/(-4) + 35/(-14)? -1/4 (-5)/(-35) + (-1)/56 1/8 Calculate (-18)/(-3)*(9/6 + -2). -3 What is -4 - (-7)/((-63)/(-34))? -2/9 What is (120/(-10))/((-8)/2)? 3 Evaluate (-1)/(-6) - (-279)/(-54). -5 What is ((-2)/(-3))/((-2)/6)? -2 Calculate (-180)/385 + (-4)/(-14). -2/11 Calculate (20/(-8))/(5/(-6)). 3 Calculate (-40 - -40) + -3 + -1. -4 Evaluate 8 - (-3 + 11 - 4). 4 (-18 - -17)/(2/(-4)) 2 What is (-2)/8 - 0 - (-529)/(-92)? -6 Calculate (-12)/9 - 230/(-207). -2/9 (-3)/9*(-4 + -1) 5/3 Evaluate (2/(-10))/((-121)/110). 2/11 What is the value of -2 + 5 + -6 + 8? 5 Evaluate -4 - 7*(-4)/7*-1. -8 Calculate (-4)/((-4)/(-4) + -2). 4 Calculate 0 + (5 - 3 - 4). -2 Evaluate 30/(-5) + -4 + (-59)/(-6). -1/6 (8/(-10))/(-11 - 222/(-18)) -3/5 Evaluate (260/455 - 6/(-14))*-3. -3 Evaluate 3/(-9) - ((-15)/9)/5. 0 What is -2 + 27/(-9) - -7? 2 Evaluate ((5/(-12))/5)/(27/108). -1/3 Calculate 1*1*8/(-2). -4 (-17)/34*(-8)/(-14) -2/7 Evaluate ((-12)/(-81))/(23/3 - 8). -4/9 What is (-21)/(-18)*3/21? 1/6 4/(-18) + 5/45*-34 -4 What is (-16)/(-40) + (-24)/35? -2/7 72/(-105) + (-3)/((-30)/4) -2/7 Evaluate (-2)/5 + (-64)/(-260). -2/13 Evaluate (-5 + -1 + 5)*6/6. -1 Evaluate 2/45*(1 + -3 - 3). -2/9 (-96)/189 + 2/36*4 -2/7 What is ((-618)/824)/((-1)/(9 + -1))? 6 What is the value of 210/759 + 3/207*6? 4/11 What is the value of 579/(-193)*(2 - 2 - 3)? 9 What is the value of (5*5/(-50))/(1 - 2)? 1/2 (-4)/(-6)*(12 + -15) -2 What is 336/(-48) + (-52)/(-8)? -1/2 Evaluate (1 + 0)*(6 - 4). 2 What is (-133)/(-35) - 1*4? -1/5 (16/(-96))/((-1)/3) 1/2 Evaluate -3*12/414 + 282/69. 4 What is 6 - -4 - (4 - 0)? 6 (-1)/2*72/(-324) 1/9 What is -3*(-2 - (-20)/12)? 1 Calculate 11/(-22) - 11/(-10). 3/5 Calculate (0 + 0)/(2 - (4 - 0)). 0 What is the value of -11 + 14 - 8/1? -5 Evaluate 3/((2*(-21)/(-14))/(-1)). -1 What is the value of ((-2)/8)/(12/48) + 7? 6 (-12)/14 - (468/90 - 6) -2/35 Calculate (-8 - 376/(-48))*-60. 10 Evaluate -2 + (-1 - -11 - 5). 3 Calculate (4 - 1)*15/(-9). -5 What is (5/15*0)/1? 0 What is ((-2)/2)/8 + (-10)/(-80)? 0 What is (40 - 26) + (-5 + -3)*1? 6 What is the value of -3*(17/(-3) - -7)? -4 What is the value of 4/(-6)*(-135)/(-315)? -2/7 Evaluate (-5)/((-10)/(-2))*0. 0 Calculate -4 + (-4 - -8 - -6). 6 What is the value of (-35 - -30) + 14/3? -1/3 8 - 49*(-12)/(-84) 1 What is -3*2*(-24)/36? 4 What is the value of 9 + -1*(-5 + 8)? 6 What is the value of ((-1390)/(-1668))/(1/(-12))? -10 (-1 - (-2)/6)/((-10)/45) 3 Calculate (2/(-6))/((-14)/84). 2 What is the value of 4/2 + -13 + 6? -5 What is (8/(-6))/((-42)/(-189))? -6 What is (-8 - -1) + (-8)/(-2)? -3 Calculate 60/(-42) + 208/28 + -7. -1 What is the value of 1 + 4 + 64/(-12)? -1/3 Evaluate (1 - (-70)/25) + (-8)/10. 3 (32/45)/4 - 6/15 -2/9 7 + (95/(-10) - -2) -1/2 What is the value of 5/((-35)/(-14)*-2)? -1 Calculate 2/(-8)*(-16)/(-12). -1/3 What is the value of 183/15 + (-75 - -63)? 1/5 What is the value of 2/6*(1 - 0)? 1/3 What is the value of ((-6)/(-20))/((-24)/(-20) + 0)? 1/4 Calculate 23/70 + (-99)/231. -1/10 ((-2)/(-3))/(-15 + 10) -2/15 What is the value of (-2)/(-7) + (180/175)/9? 2/5 2/(-4)*((-135)/33 - -3) 6/11 What is (8 + -9)*(1 + -6)? 5 What is 6/3 - 6/(-6)*-6? -4 What is 7/(-2)*(-9 - -7)? 7 Calculate (26/104)/(2/(-16)). -2 What is the value of -6*3/(-6) - (-2 - -5)? 0 10*1/(-3) - (-3)/9 -3 Calculate (5 - (-168)/80) + -7. 1/10 Evaluate ((-448)/(-168))/(2/3). 4 Evaluate (-28)/10*25*10/100. -7 What is the value of (-7)/6 + -9 + (-145)/(-15)? -1/2 What is the value of (7/(49/8))/(48/56)? 4/3 Calculate (-20)/25*(-2 + 7). -4 What is (-2 - 5) + 6897/969? 2/17 What is (128/12 - 4)/(8/(-12))? -10 What is the value of 4/10 + 221/(-65)? -3 What is (4 - 5)*(-2 - (0 - 0))? 2 What is 5/(45/8) + (-26)/39? 2/9 (-4)/(-5) - (-18)/15 2 What is the value of (-3)/18 + (-55)/462? -2/7 What is the value of (-10)/4 + (-15)/(-10)? -1 Evaluate -21*(-14)/(-42) - -16. 9 6/2 - (-108 + 108) 3 Calculate -2 - (-99)/42 - 2/4. -1/7 What is the value of (6 + 48/(-10))/(6/(-20))? -4 Calculate (-2)/(-21) - 2286/189 - -2. -10 What is -34 - -39 - 24/3? -3 Calculate (5/20)/(4 - (-369)/(-72)). -2/9 What is the value of (-18)/(-72) + 19/4? 5 What is 12/(-2)*21/42? -3 Calculate (15/10)/((-9)/4). -2/3 What is the value of (-4)/(-14) + (-87)/84? -3/4 What is (112/(-48))/(7/(-18))? 6 Calculate (-15)/5 + 6 + (3 - 0). 6 What is 18/(-3)*(-8)/12? 4 Calculate ((-3)/2)/3*(-7 + 5). 1 Calculate (13 - 243/36) + 1/(-4). 6 What is the value of 3/((-30)/4) - 4/10? -4/5 What is 8/(-352)*-4*1/(-1)? -1/11 What is -6 - (4 - (-184)/(-18))? 2/9 Calculate (-4 - 7) + 8 + -1 + 3. -1 What is the value of (-36)/189*-3*(-7)/(-6)? 2/3 What is the value of (27/(-12) + 3)*(-4)/5? -3/5 Evaluate (-20)/(-30)*(-15)/35. -2/7 Calculate (3*4/(-120))/(4/(-50)). 5/4 What is the value of (-1 - (2 + -1))*5/(-2)? 5 What is (-3)/(-9)*(-5 + 6/3)? -1 Calculate ((-12)/(-18) - 0)*-3. -2 Calculate (8/20)/((-26)/(-52)). 4/5 What is (153/102*2/39)/1? 1/13 Calculate (-320)/(-550) + (-4)/10. 2/11 Evaluate (4 - 0) + -1 + 0 + 0. 3 (-32)/48 + (3 - 20/6) -1 What is 85/(-51)*12/(-16)? 5/4 Evaluate 4*(-1 - (-30)/28). 2/7 Calculate 1 + ((-175)/(-55) - 4). 2/11 Evaluate 3 + -4 + 8/12. -1/3 What is 56/40 + (4 + -2)*-1? -3/5 What is (13 - 18) + ((-87)/(-18) - 0)? -1/6 What is the value of 0*(-3)/(-18) - 12/66? -2/11 What is the value of (-4 - 10/(-4)) + 2 - 1? -1/2 What is ((-3382)/(-16))/19 + (-1)/8? 11 Calculate 5/(-10)*12/(-3). 2 What is the value of (2/2)/(-3 + 10/4)? -2 What is (40/50)/((-9)/5 + 2)? 4 Calculate (15/16)/((-15)/20). -5/4 Calculate (2/(-10))/(((-570)/45)/19). 3/10 Calculate 2/(-4) + ((-35)/(-14))/5. 0 What is the value of -7 + (-28)/7 - -8? -3 (-4)/(-28)*-19 - -3 2/7 What is the value of (-3)/9*(-3 + 1 + 2)? 0 Calculate (-5)/(-30) + 8/6. 3/2 What is (-3 - -1)*(11 + 4 - 12)? -6 What is the value of -2*2/22 - 63/198? -1/2 (-8)/(-44) - (6712/1100 - 6) 2/25 What is 126/(-140)*(-4 + 43/12)? 3/8 Calculate (-9 - -15)*(-1)/(-39). 2/13 -5 + ((-187)/(-153))/(1/3) -4/3 Evaluate (3/4)/3 - 660/4048. 2/2
{ "pile_set_name": "DM Mathematics" }
2/3)/(f/18). What is the units digit of k(g)? 5 What is the tens digit of 27/(-9)*(-14)/3? 1 Let s be 2 + -3 + (-1 - -7). Suppose 0 = -4*r + 4*u + 20, -u - s = -2*r + 1. Suppose r - 9 = -f. What is the units digit of f? 8 Suppose q - 7*m - 2 = -2*m, 2*q - 4*m - 4 = 0. Let h(z) = -z**3 - 7*z**2 + 3. Let y be h(-7). What is the units digit of y/q + 3/6? 2 Let o(j) = j**2 - j - 33. Let b be o(0). Let w = 56 + b. What is the tens digit of w? 2 What is the units digit of 8*6 - ((-4 - 3) + 6)? 9 Suppose -3*g + 187 + 121 = -4*l, 0 = 2*g - 4*l - 212. What is the tens digit of g? 9 What is the units digit of 4/(-2) + (-2 - -6)? 2 Suppose 91 = 8*g - 7*g. What is the units digit of g? 1 Suppose 4*w - 4 = 20. Suppose j - w = 4*s, 3*j + s - 9 = -2*j. Suppose -j*d + 5*d - 24 = 0. What is the units digit of d? 8 Suppose 2*i - 2*w - 1 = -3*i, -4*i + 5*w = -11. Let o(s) = -2*s + 1. What is the units digit of o(i)? 3 Let k = 6 - 1. What is the units digit of k? 5 Suppose 7 = -5*i + 22. Suppose -3*v - 3 = -5*w, -2*w - 3 = 3*w + i*v. What is the units digit of w/(-2) + (-12)/(-2)? 6 Suppose 3*w + 10 = -2*w. Let f = 3 + w. What is the units digit of f? 1 What is the hundreds digit of ((-202)/(-7))/((-2)/(-14))? 2 Let r = 6 - 1. Suppose -5 = -z, -5*z = r*d - 63 - 42. What is the tens digit of d? 1 Suppose 3*g - 55 = 8. What is the tens digit of g? 2 Let d = -43 + 88. What is the units digit of d? 5 Suppose z = -1 + 5. Suppose -2*f - z = -4*f. Suppose -f*y = -7*y + 60. What is the units digit of y? 2 Suppose -2*q = -q. Suppose q = -0*g + 5*g - 145. What is the units digit of g? 9 Suppose -2*f - 2*f - 52 = 0. Let c = 25 + f. What is the units digit of c? 2 Suppose 0 = -2*o + b + 201, 0 = -4*b - b + 5. What is the units digit of o? 1 Let g(f) = f**3 + 8*f**2 - 2*f - 12. Let h be g(-8). Let y be (2 - 1)*(4 - h). Suppose y = 2*b - 2 - 20. What is the units digit of b? 1 What is the units digit of (0 + -1)/(2/(-26))? 3 Let n(t) = -24*t**3 + 2*t**2 + 4*t. What is the tens digit of n(-2)? 9 Let n(l) = -5*l - 12. What is the tens digit of n(-6)? 1 Let g be (-1)/(-4) - 1/4. Suppose g = 4*o + 1 - 9. Suppose 3*n - 14 = -j, -o*j + 9 + 8 = -5*n. What is the units digit of j? 1 Let c be (-3 + 1)*(-5 - -1). Suppose -4*s - 2*x = -c, 2*s = 7*s + 5*x - 15. What is the units digit of -2*(s + 21/(-6))? 5 Suppose -845 = -4*d - 201. What is the hundreds digit of d? 1 Let f = -4 + 8. Suppose -23 = -k - 9*i + 4*i, 4 = -f*k + 4*i. What is the units digit of k? 3 Let a = 96 + -139. Let c = 3 - a. What is the tens digit of c? 4 Let v(u) = -u**2 + 8*u + 17. What is the units digit of v(9)? 8 Let n(s) = s**3 - 5*s**2 - 6*s + 6. Let g be -3 - -14 - 4/2. Suppose -3*p + 47 = -5*d + g, 3*p = 4*d + 34. What is the units digit of n(p)? 6 Suppose 0 = 2*c - c - 53. What is the units digit of c? 3 Let d(y) be the second derivative of y**4/3 - y**3/3 - 15*y. Let x(g) = -g - 3. Let i be x(-5). What is the units digit of d(i)? 2 What is the units digit of 3 - (5 + (-12)/3)? 2 Let k be (-21)/(-14)*(2 - -10). Let t = k - 6. What is the units digit of t? 2 Let u(t) = -t**3 + 5*t**2 - 2*t + 4. Let k be u(5). What is the units digit of (52/(-12))/(2/k)? 3 Suppose -c + 9 = -0. Let k = -6 + c. Suppose -k = 3*v - 4*n + n, -7 = 4*v - 5*n. What is the units digit of v? 2 Let v = -16 - -24. Let p = v + -4. Suppose 5 = p*y - 11. What is the units digit of y? 4 Let v(o) = -o**2 + 11*o + 3. Let k be v(11). Suppose -a = -n - 4, k*a + 4*n - 27 = 2*n. What is the units digit of a? 7 What is the units digit of 3*(16/3 - -1)? 9 Suppose 0 = 6*m - 2*m - 280. What is the units digit of m? 0 Let q be (0 - 12)/((-4)/6). Let o = q + -6. What is the units digit of o? 2 Let t = 93 - -5. What is the tens digit of t? 9 Let m be (-570)/(-36) + (-3)/(-18). Suppose 0*i - m = -2*i. What is the units digit of i? 8 Let u(v) = 3*v**3 - 21*v**2 + 17*v + 27. Let k(t) = -2*t**3 + 11*t**2 - 8*t - 14. Let s(m) = -5*k(m) - 3*u(m). What is the units digit of s(-9)? 7 Let y be 1 + -2 + (4 - -2). Let b(n) = -n**2 - n + 3. Let l be b(0). Suppose -27 - l = -y*m. What is the units digit of m? 6 Suppose 19*n = 15*n + 408. What is the tens digit of n? 0 Let q(a) = -a + 5. Let n(l) = -2*l + 14. Let y(m) = 3*n(m) - 8*q(m). Let c be y(-6). Let g = -4 - c. What is the units digit of g? 6 Suppose -2*b + 275 = 4*u - b, -2*u = -3*b - 141. What is the units digit of u? 9 Let j(m) = 4*m + 6*m - 5*m - 3 + 7. Let v be j(3). Suppose -5*p + v = -41. What is the tens digit of p? 1 Let s = 10 + 42. What is the tens digit of s? 5 Let a = 9 - 9. Suppose -h - 2*h + 12 = a. Suppose 0*q + 3*q + l = 12, l - 15 = -h*q. What is the units digit of q? 3 Let a(b) = 10*b**2 - 10*b + 7. What is the hundreds digit of a(5)? 2 Let i(u) = 34*u - 37. What is the units digit of i(5)? 3 Suppose 3*o - 2*o = 5. Suppose -o*u = 54 - 154. What is the units digit of u? 0 Let g = -20 - -9. Let c = 4 - g. What is the tens digit of c? 1 Suppose 0*a = 2*a - 16. What is the units digit of a? 8 Let j = 5 + -5. Suppose -4*o - 8 + 24 = j. Suppose -4*x + 20 = o. What is the units digit of x? 4 Suppose -4*o - 5*k = -49, 5*o = -3*k - k + 50. Suppose o + 14 = -5*i. What is the units digit of (26/i - -2)*-2? 9 Let z(b) = -b**3 - 4*b**2 - 3*b - 2. Let c be z(-4). Suppose 0 = -2*j - 4 + c. What is the units digit of j? 3 Suppose -3*a + 873 + 492 = 0. Suppose -260 = -4*r - 3*b + 103, 0 = -5*r - 5*b + a. Suppose r = 2*w + 2*w - 5*o, 84 = 4*w - 2*o. What is the units digit of w? 0 Suppose 65 = 5*b - 35. Suppose -o - o = -b. Let f = o - 1. What is the units digit of f? 9 Let d be 6/(-9)*9/(-2). Suppose -d*y + 2*a + 33 = 0, -3*y = a - 4*a - 36. What is the units digit of y? 9 Let a(l) = 6*l**3 + 7*l**2 + l - 4. Let t(u) = -5*u**3 - 6*u**2 + 3. Let q(m) = -3*a(m) - 4*t(m). What is the tens digit of q(2)? 2 Let l(f) = -f**2 - 7 - 2*f - 7*f + 2*f. Let n be l(-5). Suppose 0*g + x = 3*g - 55, -39 = -3*g - n*x. What is the units digit of g? 7 Suppose 2*q + 10 = 3*z - 6, 2*z - 3*q = 4. Suppose 0 = 5*b + 3*m - 14, z = -5*b + 2*m + 32. What is the units digit of b? 4 Suppose -4*m = -3*t + 38, 27 = 2*t - m - 2*m. Let o(q) = -q**2 + 9*q - 10. What is the units digit of o(t)? 8 Let s(l) = l. Let i(n) = n**2 - 4*n - 1. Let g = 1 + 0. Let a(m) = g*i(m) + 6*s(m). What is the units digit of a(-3)? 2 Let o be -3 - -6 - 1/1. Let n(j) = j**3 - 3*j + 2. What is the units digit of n(o)? 4 Suppose 0 = 116*x - 121*x + 1565. What is the tens digit of x? 1 Let f(d) = d**2 - 5*d - 9. Let m(g) = 2*g - 5*g**2 + 1 - g**2 - g**3 + 3*g**2 - 2. Let y be m(-4). What is the units digit of f(y)? 5 Let j(c) = -7*c + 2. Let a(m) be the third derivative of 7*m**4/12 - m**3/2 + 3*m**2. Let d(g) = -3*a(g) - 5*j(g). What is the units digit of d(-2)? 3 Let h = -10 + 14. What is the units digit of h? 4 Let n(m) = 2*m**2 + m + 1. Let p be n(-1). Suppose a = p*a - 4. Suppose 0 = -5*g + a*g + 1. What is the units digit of g? 1 Let x be -1 + 1*(-33)/(-1). Suppose p = -p + x. What is the tens digit of p? 1 Let h be (-3)/((-2)/(-2)*-1). Let y = 15 + -15. Suppose h*w - 3 = -p + 6, y = 5*w - 3*p - 1. What is the units digit of w? 2 Let c(j) = j**2 + 5*j + 1. Let h be c(-5). Let m = h - -3. What is the units digit of m? 4 Let t(r) = -r**2 - 8*r + 4. Suppose 0 = -6*g + 2*g + 8, -5*d + 4*g - 43 = 0. What is the units digit of t(d)? 1 Let x = -5 - -5. Suppose x*d + 40 = 4*d. What is the tens digit of d? 1 Suppose -4*j = -60 - 12. Suppose 2*f - 10 = j. What is the tens digit of f? 1 Let d = -302 + 463. What is the hundreds digit of d? 1 Suppose b = -4*h + 2 + 16, -b = 5*h - 20. What is the units digit of (3*2)/(b/85)? 1 What is the tens digit of -23*1*(-4 - -2)? 4 Let f be 118/6 - (-4)/(-6). Suppose -3*v = 0, -o + 2*v + 55 = 4*o. Let z = f - o. What is the units digit of z? 8 What is the units digit of (-51)/(-15) + (-6)/15? 3 Suppose 0 = -h + 6*h - 125. What is the units digit of h? 5 Suppose 2*x - 15 = -3*x. Suppose -d = -2*g + 18 - 6, x*g - 18 = -d. What is the units digit of g? 6 Suppose 5*k - 5 = -0*k. Let c = k + 8. Suppose -4*t + c + 47 = -4*w, 0 = 2*t + w - 43. What is the units digit of t? 9 Suppose -7*b + 245 = -70. What is the tens digit of b? 4 Let k = -5 + 10. Let b(r) = -3*r**2 - 4*r + 0*r + r**3 - r**2. What is the units digit of b(k)? 5 Let l = -2 -
{ "pile_set_name": "DM Mathematics" }
onvert -2e (base 16) to base 5. -141 Convert -22 (base 3) to base 6. -12 What is -100000000 (base 2) in base 13? -169 Convert 0 (base 11) to base 4. 0 Convert -112 (base 6) to base 5. -134 10 (base 3) to base 15 3 Convert -522 (base 7) to base 15. -126 Convert 12032 (base 4) to base 11. 332 -203 (base 4) to base 15 -25 Convert 12 (base 8) to base 7. 13 What is 0 (base 2) in base 16? 0 What is 51 (base 8) in base 9? 45 Convert -2 (base 15) to base 10. -2 -9 (base 10) to base 15 -9 165 (base 8) to base 15 7c -147 (base 10) to base 13 -b4 -27 (base 10) to base 13 -21 -1 (base 7) to base 13 -1 -11 (base 8) to base 4 -21 Convert -19a (base 13) to base 15. -14b Convert 151 (base 10) to base 8. 227 30 (base 13) to base 4 213 What is -142 (base 5) in base 14? -35 What is 22 (base 9) in base 12? 18 -100 (base 2) to base 3 -11 -4 (base 5) to base 9 -4 -66 (base 13) to base 6 -220 Convert -141 (base 8) to base 7. -166 What is -10111 (base 2) in base 4? -113 What is 0 (base 10) in base 2? 0 5 (base 14) to base 3 12 Convert -3 (base 14) to base 12. -3 What is f (base 16) in base 13? 12 Convert 26 (base 12) to base 16. 1e Convert 4 (base 11) to base 4. 10 Convert -8 (base 16) to base 7. -11 Convert -101 (base 3) to base 11. -a Convert 9 (base 13) to base 16. 9 3 (base 9) to base 2 11 What is -57 (base 13) in base 7? -132 Convert 321 (base 8) to base 5. 1314 -52 (base 9) to base 11 -43 4 (base 16) to base 7 4 -3 (base 14) to base 11 -3 Convert 2 (base 4) to base 3. 2 What is 15 (base 11) in base 4? 100 25 (base 8) to base 16 15 Convert -26 (base 7) to base 8. -24 Convert -7 (base 8) to base 3. -21 Convert 0 (base 11) to base 9. 0 Convert 11 (base 8) to base 16. 9 What is -7 (base 14) in base 7? -10 1 (base 6) to base 4 1 -2 (base 15) to base 16 -2 3 (base 16) to base 3 10 What is 80 (base 16) in base 7? 242 What is -212 (base 3) in base 7? -32 Convert -27 (base 9) to base 4. -121 91 (base 13) to base 6 314 What is 4 (base 10) in base 14? 4 Convert 3 (base 6) to base 15. 3 What is 0 (base 13) in base 3? 0 Convert -9 (base 12) to base 14. -9 -5 (base 10) to base 6 -5 Convert 2 (base 3) to base 6. 2 Convert -110110 (base 2) to base 15. -39 What is -10 (base 7) in base 3? -21 -1111 (base 2) to base 13 -12 Convert 2 (base 3) to base 7. 2 What is -4 (base 5) in base 14? -4 Convert -9 (base 16) to base 4. -21 -40 (base 14) to base 13 -44 What is 66 (base 11) in base 5? 242 What is 4 (base 15) in base 4? 10 What is 12 (base 14) in base 5? 31 1 (base 10) to base 14 1 -12 (base 15) to base 8 -21 -4 (base 9) to base 3 -11 Convert -2101 (base 4) to base 10. -145 Convert 20 (base 14) to base 12. 24 Convert 1100 (base 2) to base 3. 110 Convert -2 (base 11) to base 2. -10 What is -15 (base 10) in base 11? -14 -31 (base 7) to base 4 -112 What is -11212 (base 3) in base 16? -83 What is 12 (base 16) in base 13? 15 -6 (base 13) to base 2 -110 Convert -3 (base 10) to base 16. -3 What is -30 (base 8) in base 5? -44 What is 38 (base 13) in base 6? 115 0 (base 11) to base 12 0 151 (base 6) to base 10 67 What is 3102 (base 4) in base 8? 322 Convert 0 (base 5) to base 9. 0 What is 31 (base 8) in base 13? 1c Convert -241 (base 7) to base 11. -106 What is 1 (base 8) in base 12? 1 14 (base 11) to base 14 11 What is e (base 15) in base 10? 14 15 (base 8) to base 15 d What is -303 (base 5) in base 2? -1001110 Convert 10 (base 6) to base 9. 6 What is 18 (base 14) in base 11? 20 Convert 117 (base 11) to base 12. b7 Convert -4 (base 12) to base 10. -4 11 (base 5) to base 15 6 What is 10000 (base 2) in base 4? 100 3 (base 6) to base 11 3 Convert -2 (base 6) to base 3. -2 What is -25 (base 8) in base 2? -10101 -15 (base 8) to base 6 -21 What is 4 (base 7) in base 2? 100 What is -2 (base 10) in base 12? -2 What is -117 (base 8) in base 14? -59 What is 211 (base 3) in base 12? 1a What is -16 (base 10) in base 13? -13 2 (base 6) to base 10 2 What is 11 (base 4) in base 2? 101 4 (base 13) to base 6 4 Convert -171 (base 8) to base 4. -1321 Convert -62 (base 15) to base 8. -134 -b9 (base 12) to base 3 -12020 What is 0 (base 16) in base 13? 0 Convert -10 (base 12) to base 2. -1100 Convert 5 (base 7) to base 3. 12 Convert -3 (base 7) to base 13. -3 What is 2 (base 11) in base 16? 2 What is 110111 (base 2) in base 11? 50 What is 10 (base 4) in base 7? 4 -15 (base 10) to base 14 -11 -71 (base 10) to base 15 -4b What is -5b (base 14) in base 9? -100 What is 4 (base 7) in base 15? 4 What is 252 (base 7) in base 10? 135 What is -3 (base 9) in base 10? -3 11011 (base 2) to base 3 1000 What is -70 (base 11) in base 10? -77 -4 (base 11) to base 3 -11 -100 (base 6) to base 2 -100100 Convert 324 (base 7) to base 3. 20010 -214 (base 5) to base 4 -323 Convert 1 (base 9) to base 14. 1 24 (base 14) to base 11 2a Convert 88 (base 14) to base 15. 80 What is 2 (base 14) in base 15? 2 Convert -86 (base 9) to base 4. -1032 Convert 0 (base 8) to base 12. 0 131 (base 16) to base 9 368 Convert 1112 (base 3) to base 8. 51 20 (base 7) to base 15 e What is -a (base 13) in base 7? -13 13 (base 12) to base 7 21 122 (base 3) to base 7 23 Convert 10 (base 6) to base 3. 20 -f (base 16) to base 10 -15 What is -10 (base 2) in base 13? -2 Convert 0 (base 10) to base 7. 0 What is 1121 (base 3) in base 12? 37 Convert -10 (base 2) to base 4. -2 What is 14 (base 5) in base 2? 1001 What is 2 (base 14) in base 9? 2 Convert 1 (base 8) to base 3. 1 What is c (base 13) in base 4? 30 Convert -17 (base 10) to base 15. -12 -1 (base 3) to base 2 -1 Convert 76 (base 14) to base 4. 1220 661 (base 8) to base 14 22d 2 (base 3) to base 14 2 Convert 5 (base 10) to base 2. 101 111 (base 2) to base 14 7 What is 2a (base 12) in base 14? 26 Convert -10 (base 2) to base 16. -2 16 (base 9) to base 7 21 -3 (base 7) to base 14 -3 Convert -1 (base 11) to base 13. -1 What is 36 (base 14) in base 9? 53 14 (base 16) to base 11 19 What is -5a (base 15) in base 5? -320 What is -10 (base 2) in base 9? -2 What is 76 (base 11) in base 13? 65 What is 13 (base 9) in base 6? 20 -2 (base 3) to base 11 -2 Convert 42 (base 13) to base 16. 36 What is 10 (base 11) in base 16? b 30 (base 11) to base 12 29 -10000 (base 2) to base 5 -31 What is 2 (base 10) in base 7? 2 What is -9 (base 15) in base 14? -9 -9 (base 12) to base 8 -11 Convert -3 (base 16) to base 13. -3 Convert 0 (base 8) to base 14. 0 Convert -364 (base 7) to base 14. -db What is -1321 (base 6) in base 4? -11101 Convert 15 (base 8) to base 11. 12 5 (base 14) to base 16 5 Convert -7 (base 11) to base 7. -10 Convert c (base 16) to base 3. 110 Convert -1000101 (base 2) to base 10. -69 Convert -10101 (base 3) to base 16. -5b Convert 44 (base 8) to base 16. 24 1010110 (base 2) to base 4 1112 Convert 120 (base 4) to base 8. 30 -28 (base 9) to base 14 -1c Convert 112 (base 12) to base 6. 422 Convert 11212 (base 4) to base 7. 1021 21 (base 14) to base 6 45 0 (base 9) to base 6 0 What is -4 (base 15) in base 2? -100 What is 1 (base 4) in base 8? 1 -1011 (base 2) to base 14 -b -1 (base 16) to base 7 -1 4 (base 7) to base 12 4 Convert 3 (base 7) to base 8. 3 What is -2 (base 15) in base 8? -2 What is -2 (base 8) in base 16? -2 -5 (base 15) to base 11 -5 What is 1 (base 16) in base 7? 1 What is 7 (base 14) in base 9? 7 -1f (base 16) to base 7 -43 Convert -8 (base 15) to base 5. -13 What is -2 (base 8) in base 5? -2 Convert 2003 (base 4) to base 13. a1 1101 (base 2) to base 11 12 -43 (base 8) to base 13 -29 21 (base 6) to base 3 111 Convert -3 (base 9) to base 14. -3 Convert -165 (base 16) to base 9. -436 Convert 12 (base 15) to base 2. 10001 189 (base 11) to base 16 da What is 10 (base 11) in base 12? b Convert -31 (base 14) to base 15. -2d 2 (base 16) to base 13 2 Convert -6 (base 15) to base 13. -6 47 (base 8) to base 9 43 14 (base 5) to base 15 9 -11 (base 4) to base 8 -5 Convert -18 (base 11) to base 16. -13 11 (base 5) to base 6 10 Convert -4 (base 16) to base 12. -4 24 (base 13) to base 3 1010 What is -3e (base 15) in base 6? -135 7 (base 14) to base 16 7 4a (base 12) to base 9 64 What is -1 (base 10) in base 8? -1 Convert f (base 16) to base 9. 16 5 (base 12) to base 16 5 Convert -11000001 (base 2) to base 13. -11b What is -16 (base 7) in base 4? -31 Convert -5 (base 6) to base 2. -101 What is 1211 (base 3) in base
{ "pile_set_name": "DM Mathematics" }
*x**2)*(-9 + 8 - 18*x**2 - 1)*(0*x - 4*x + 2*x)*(1 + 0 - 3). 1152*x**5 + 128*x**3 Expand (3*y - 65 + 63 - 2*y)*(-12 + 12 - 4*y). -4*y**2 + 8*y Expand (-3*b - 4*b - b)*(-2 - 1 + 2)*(-11*b**3 + 177 - 177). -88*b**4 Expand (-347*u + 412*u + 1324*u)*(-u + 3*u - u). 1389*u**2 Expand (-3*m - 2 + 2 + 0*m - 2*m + 0*m + (2 + 0 - 3)*(0 + 2*m + 0) + 5*m - 6*m - 2*m)*(1 + m - 2 + 0). -10*m**2 + 10*m Expand ((0 + 0 - 2)*(-88 - 40 + 46) - 3 - 3 + 4)*(3*p**4 - 3*p**4 - p**4). -162*p**4 Expand (s + 0 + 0)*(8 - 2 - 1 + (3 - 7 - 5)*(5 - 2 - 4)). 14*s Expand (-2 - 1 + 4)*(f + 2*f**4 - f) - 7*f - 10*f**4 + 7*f - f**4 - 3*f**4 + 3*f**4 + (5 - 3 - 1)*(f**4 + 5*f**4 - 4*f**4). -7*f**4 Expand 133*x + 128*x - 202*x + (1 + 0 - 2)*(-5*x + 0*x + 3*x) + 2 - 2 - 3*x + (-4*x + 3*x + 2*x)*(3 + 0 - 5). 56*x Expand (-2*b - 3*b + 4*b)*(3 - 3 + 2) + (67*b + 69*b - 11 - 134*b)*(6 - 3 - 1). 2*b - 22 Expand (-2 + 2 - 2)*(3*p**4 - 4*p**4 - 2*p**4 - 5*p**3 + 5*p**3 + 3*p**4 + (-2*p**3 + 0 + 0)*(-6 + 6 + 11*p)). 44*p**4 Expand (-1117 - 1861 + 1291 - 1598 - 175)*(2 - 2 + a). -3460*a Expand -n**2 + n - n - 18*n**2 + n**2 + 11*n**2 + (-3*n - n + 2*n)*(6*n - 4*n - n) + 9 + n**2 - 9 + 4*n**2 - 2*n**2 + 0*n**2. -6*n**2 Expand (4*l + 0 + 1 - 7*l)*(-6*l + 3*l + 4*l)*(60*l + 234*l - 91*l). -609*l**3 + 203*l**2 Expand (o**2 + 0*o**2 - 3*o**2)*(-37*o - 36*o + 52*o)*(4*o + o - 2*o). 126*o**4 Expand (58*g**3 + 17*g**3 + 183*g**3)*(1 + 4 - 2 + (-3 + 2 - 1)*(-4 + 0 + 2) - 4 + 0 + 5 + (6 - 3 - 2)*(-1 + 3 - 4)). 1548*g**3 Expand (3*p**3 + 0*p**3 - p**3)*(-3 - 2 + 6)*(-10 + 3 - 10)*((-4 + 3 + 3)*(-1 + 1 - 2) + 3 - 4 - 1 - 1 - 2 + 6). 102*p**3 Expand 3*g**5 + 4*g**3 - 4*g**3 + (g**4 - 2*g**4 + 0*g**4)*(-g - 2*g + 4*g) - 5*g - g**3 - 15*g**5 + 3*g**5 - 2*g**4 + 4*g. -10*g**5 - 2*g**4 - g**3 - g Expand (6*k + 1941 - 1941 + (-2*k + 5 - 5)*(0 + 2 - 1) + 4*k + 0*k - 5*k)*(-2*k - 2*k + 2*k) - k - k**2 + k. -7*k**2 Expand 4*s + 0*s - 3*s - 17*s - 97*s - 29*s + s - 2*s + 2*s + (-2 + 2 - s)*(-2 - 4 + 5) + s - s - s. -141*s Expand -4*h - h + h + (2 + 0 + 4)*(-1 + 1 - 1)*(6*h - 4*h - 3*h). 2*h Expand (-c - 2*c + 2*c)*(-93 + 0 - 8). 101*c Expand (s**2 - s**2 - 2*s**3)*(4 - 4 - s) + 2*s**3 + s**4 - 2*s**3 + 2*s**4 - 4*s**4 + s**4 - 2 + 2 - 2*s**4 + (-304*s + 69*s**3 + 304*s)*(2*s - 2*s + 2*s). 138*s**4 Expand (h - 4*h + h)*(-275 + 640 + 388). -1506*h Expand (2*z + 2*z - 3*z)*(2 - 2 + 2*z**2) - 12*z - 5*z**3 - 181 + 181. -3*z**3 - 12*z Expand (-a + 0*a + 0*a)*(1140 + 759 - 2394). 495*a Expand (-1 + 321 - 58)*(4 - 3 - 2)*(-2*m + 3*m + m). -524*m Expand 2 - 2 + 4*m**2 + 444*m + 50*m**2 - 444*m + (m + 3 - 3)*(2*m + m - m) + 2*m**2 - 3*m**2 + 3*m**2. 58*m**2 Expand (4 - 5 - 4)*(2 + 2*d**2 - 2)*(5 - 5 - d**2 + (-d + 0 + 0)*(-2*d + d + 2*d) - 3*d + 3*d + 3*d**2). -10*d**4 Expand 935*x**2 - 935*x**2 - 35*x**4 + (3 - 3 - 5*x)*(2*x**3 - 5*x**3 + 2*x**3). -30*x**4 Expand (0*y**2 - 4*y**2 + 2*y**2)*(4 - 2*y**3 - 4 + 0 + y**3 + 0 + (y**3 + 2*y**3 - y**3)*(-5 + 2 + 1) - 2 - 4*y**3 + 2 + 4 + 0 - y**3 - 3). 20*y**5 - 2*y**2 Expand -2*b + 2*b + b + 0*b - 5*b + 3*b + 2*b - b + b + (-4*b + 4*b + 2*b)*(3 - 1 + 0) - 3*b + 2*b + 2*b + (3*b - 4*b - b)*(7 + 12 - 5). -22*b Expand (-6*q**2 + q**2 + 3*q**2)*(2 - 1 + 5)*(-3 - 3 + 0). 72*q**2 Expand (-5*t + 2067 - 2065 - 13*t)*(-4*t**4 + 5*t**4 + t**4). -36*t**5 + 4*t**4 Expand -67*o**5 + 35*o**5 + 41*o**5 - 5*o**5 + 3*o**5 - o**5 + (1 - 1 - 2*o**2)*(-o**3 + 3*o**3 - 4*o**3) + 2*o**3 + o**5 + o**5 - o**5. 11*o**5 + 2*o**3 Expand (-h**2 + 4*h**2 - 2*h**2)*(-3 + 4 + 0)*(11*h - 11*h + h**2) - 3*h**4 - 9*h + 9*h. -2*h**4 Expand (-11*u - 1 - 2*u + 6*u)*(86*u + 101*u - 171*u). -112*u**2 - 16*u Expand (b**3 + 0 - 3 + 1)*(-62*b + 63 - 63 + (1 + 1 - 4)*(b + 0 + 0)). -64*b**4 + 128*b Expand (0*u**2 + 4*u**2 - 2*u**2)*(2215*u**2 + 2095*u**2 - 5335*u**2 - 3*u). -2050*u**4 - 6*u**3 Expand (0*v + 0*v + 7*v)*(-28 + 4 - 77 - 43). -1008*v Expand (2*g**3 + 2*g**3 + 0*g**3)*(84*g**2 + 1830*g - 1830*g). 336*g**5 Expand (3*c**3 + 0*c**3 - c**3)*(-619 + 4*c**2 - 620 + 1240 - 5*c). 8*c**5 - 10*c**4 + 2*c**3 Expand (q - 2*q + 4*q)*(0*q + 3*q**2 + 0*q) - 47*q**2 + 11*q**3 + 47*q**2. 20*q**3 Expand (-y**2 - 4*y**2 + 3*y**2)*(2*y**3 - y**2 + 12*y + 5*y**3 + 2*y**2). -14*y**5 - 2*y**4 - 24*y**3 Expand ((3 - 3 + 2)*(2 + 1 - 5) + 4 - 3 - 2 + 4 + 0 - 3 + (-2 + 2 + 2)*(0 - 2 + 0) + 1 + 1 + 4)*(-5*h + 0*h + 4*h). 2*h Expand (4*i - 5*i - i)*(-55*i - 3*i**3 + 167*i - 75*i + 2). 6*i**4 - 74*i**2 - 4*i Expand (20828*l - 20828*l + 7*l**2)*(-2 - 2 + 2) - 2*l**2 + 2*l - 2*l. -16*l**2 Expand (-4*x**5 + 10*x**5 + 5*x**5)*(-3 + 1 + 9) + (4*x**4 - 3*x**4 + x**4)*((0 - 6 + 4)*(2 - 2*x - 2) + x - 2*x - x). 81*x**5 Expand p + 3*p - 3*p + p - 4*p + 5*p + (-2*p - 2*p + 2*p)*(-1 + 1 + 2) + (6 - 12 + 5)*(p - 2 + 2). -2*p Expand -857*v**2 + 45*v**4 + 857*v**2 + (-4*v**2 + 5*v**3 + 4*v**2)*(-2 - v + 2). 40*v**4 Expand (-5*c**2 + 2*c**2 + c**2)*(7 - 7 - 8*c)*(1 - 1 - 2*c). -32*c**4 Expand -4*k**3 + 2*k**3 + k**3 + (k - 2*k + 0*k)*(0*k**2 - 2*k**2 + k**2) + 0*k**3 + k**3 - 4*k**3 - 4*k**3 + 3*k**3 + 2*k**3. -2*k**3 Expand (-51*s + 26*s + 24*s + 1)*(49 - 3*s**2 - 50 - 2*s + 5*s**2). -2*s**3 + 4*s**2 - s - 1 Expand -2*q - 1 + 1 - 3*q + 0*q + q + (-3 + 3 + 1)*(-3 - 2*q + 3) + 1 - 1 + 2*q - 4*q + 0*q + 2*q + (5*q - 2*q - 5*q)*(10 - 3 - 49). 78*q Expand (-4*l + 0*l + 0*l)*(29*l**3 - 60*l**2 + 60*l**2)*(-1 - 3 + 3). 116*l**4 Expand ((-3 + 3 - 1)*(-2 - 1 + 2) - 2 - 1 + 1 - 13 + 4 + 0)*(4 - 2 + 0)*(-9*f + 11*f + 6*f). -160*f Expand (-532*k - 353*k + 427*k - 866*k - 42*k)*(1 - 2 + 0). 1366*k Expand (-230*y - 4 + 0*y + 83*y)*(0*y**2 - y**2 + 2*y**2). -147*y**3 - 4*y**2 Expand ((0 + 5 - 3)*(-k + 4*k - 4*k) + 3*k - 9 + 9 + 3*k + k - 3*k)*(-13 - 4 + 0). -34*k Expand (-2*m + 0 + 0)*(3*m**3 + m**3 - 3*m**3) - 2*m**4 + m**4 + 0*m**4 - 28*m**4 + 28*m**4 - 4*m**4 - 27*m. -7*m**4 - 27*m Expand (3 - 6 + 4)*((-2 + 4 + 3)*(4*o - 11*o + 0*o) + o - o + 2*o). -33*o Expand (-n**4 + 0*n**4 - 2*n**4)*(-1243 - 944*n - 1248 + 2491). 2832*n**5 Expand (58*c - 5*c + 2*c)*(-2*c**3 + 2*c**2 - 2*c**2). -110*c**4 Expand (v + 2*v - 2*v)*(6 - 5 + 1) + 9 - 9 + 4*v + (-2*v + 3*v + 0*v - 1)*(-4 + 0 + 3). 5*v + 1 Expand (-2 + 2 - y**2)*(2*y - 6*y + 3*y + (-7*y + 14*y + 8*y)*(-2 + 5 - 1)) + 1 - 2*y**3 - 1. -31*y**3 Expand (40435*k**3 - 7*k**4 + 87*k**4 + 4 - 40434*k**3)*(7 - 2 - 3). 160*k**4 + 2*k**3 + 8 Expand (3 - 3 + 1)*(3 - t - 3 + t - t + 2*t + (-6 + 3 - 3)*(-3*t + 2*t - 7*t))*(-4 + 1 + 2). -49*t Expand (-26*f - 56*f - f + 10*f)*(14 - 7 + 10). -1241*f Expand 0*y**3 + 0*y**3 - y**4 + (-10*y**4 + 11*y**4 - 46*y**4)*(-1 + 5 - 2) + 0*y**4 + 3*y**4 - y**4. -89*y**4 Expand (0 + 1 + 4)*(-898*h - 20*h**5 + 898*h). -100*h**5 Expand (-4*i + 12*i - 32*i)*(3*i - 3*i - 4*i**4) - i**5 - i**5 + 0*i**5. 94*i**5 Expand -24*a**4 + 45*a**4 + 31*a**4 + 0*a + a + a - a**4 + (0 + 0 + a)*(a**3 + 2*a**3 - a**3). 53*a**4 + 2*a Expand ((3 - 3 + 2)*(1 - 7 + 1) + (2 - 1 + 2)*(-4 + 7 - 2))*(0*n**2 + n**3 + 0*n**2). -7*n**3 Expand (-6*b + 2*b + 5*b)*(-3*b**2 - 3*b**2 + 4*b**2) - 5*b**3 - b**3 + 4*b**3 + (3*b - 10*b + 3*b)*(8*b**2 - 4*b**2 + 2*b**2) + 5 - 5 + 10*b**3. -18*b**3 Expand 10*w**4 + 7 - 7 + (5*w - 5*w - 2*w**2)*(w**2 + w**2 + 0*w**2) - 2*w**4 - 2*w**4 + 2*w**4 - 5 + 5 + 6*w**4 + (w + 0 + 0)*(-3*w**3 + 0*w**3 + w**3). 8*w**4 Expand (-1 + 1 + 1 + (-2 - 1 + 2)*(-6 + 2 + 3) - 8 - 4 + 3)*(3*i + 3*i - 2*i). -28*i Expand (g - 4*g + g)*(-6 + 6 - 11*g)*(11*g + 3*g - 4*g). 220*g**3 Expand -3 + 3 - 5*w**4 + (2*w**2 - 1 + 1)*(1126 + 48*w**2 - 1126). 91*w**4 Expand (11 + 14 - 31)*(85 - 85 - 17*t**2 - t). 102*t**2 + 6*t Expand (2 + 2*g**2 - 2)*(-1 + g + 1) + (g**2 - g**2 + 7*g**2)*(-g - 8*g + 6*g). -19*g**3 Expand (0 + 2*q**3 + 0)*(-3 - 4 + 4)*(-164*q - 158*q + 323*q + 9). -6*q**4 - 54*q**3 Expand 3 - 3 - 2*k**3 + (-2*k + 3*k + 0*k)*(k**2 + 0*k**2 + 0*k**2) - k**3 - k**2 + k**2 - k**3 + 2*k**2 - 2*k**2 + (-3*k**2 - k**2 + 12*k**2)*(-k - k - 2*k). -35*k**3 Expand -2*r + 2*r + 5*r**4 + (-2*r**2 + 2*r**2 + 4*r**3)*(0*r - 2*r + 4*r) + 1 - 1 - r**4. 12*r**4 Expand -3*c**2 + 4*c**2 + 0*c**2 + (-9 + c**2 + 6 - 6)*(143 - 46 - 74). 24*c**2 - 207 Expand (18*o - 4*o + 2*o)*(7*o**2 - 7*o**2 + 11*o**3). 176*o**4 Expand (3*z**4 - 5*z**4 + 4*z**4)*(-6 + 2*z + 6) + (-z**2 + z**2 - 2*z**3)*(-z + z + 2*z**2) - 13*z**5 - 2079*z**2 +
{ "pile_set_name": "DM Mathematics" }