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087 + 22.2913. Let r = i + -22. Sort -1, r, -0.01 in descending order. r, -0.01, -1 Let n = -10 + 4. Suppose -2*u + r + 6 = 0, -2*u + 5*u + 3*r = -9. Put -5, n, u in ascending order. n, -5, u Let r = 35.7 - 36. Let a = 0.93 - 1. Let k = a + -0.03. Put -1, k, r in decreasing order. k, r, -1 Let p be 6 + -6 - 1*4. Let a = -25 - -23. Sort a, p, 1 in increasing order. p, a, 1 Let r = 20 + -18. Suppose -r*m + 21 = 31. Let w(d) = d**2 + d - 2. Let b be w(-3). Sort m, -0.4, b in ascending order. m, -0.4, b Let l = -46.2 - -42. Let d = 31.2 + -31. Sort l, d, -1 in decreasing order. d, -1, l Suppose 0 = -5*d + 8*d - 45. Let v be ((8/d)/4)/(2/10). Sort -5/4, v, -1/2 in increasing order. -5/4, -1/2, v Let o = -324 - -323. Sort 3, 28, -4, o in increasing order. -4, o, 3, 28 Let f = 64.4 - 64. Put f, 0, -6 in descending order. f, 0, -6 Let n(l) = l**2 + 75*l - 1. Let r be n(0). Sort 2, -12, r, -4. -12, -4, r, 2 Let y = -33 + 35. Put y, 24, 1 in decreasing order. 24, y, 1 Let u(v) = -5*v**3 - 2*v**2 - 2*v - 1. Let k be u(-1). Let p be 6/(-57) - (-186)/(-38). Put p, 15, 2/5, k in increasing order. p, 2/5, k, 15 Let l = 1.33 + -5.33. Sort -2, 0.09, l, 2/5 in decreasing order. 2/5, 0.09, -2, l Let n = -3.13 - -2.83. Sort 0.4, n, 4, 0.28 in descending order. 4, 0.4, 0.28, n Let m = -420.7 + 420. Put 3/4, m, -2 in ascending order. -2, m, 3/4 Suppose -z - 3*z = -o - 24, -2*z + 4*o = -26. Sort z, -4, 2, 3 in descending order. z, 3, 2, -4 Let p = -0.035 - 33.965. Let v = -34.5 - p. Let r = 61/132 - 6/11. Put r, v, -4 in descending order. r, v, -4 Let t = 4 + -7. Let l = -0.806 + 0.606. Sort -8, l, t. -8, t, l Let o = -22 + 21. Let b = 14 + -19. Sort b, o, 1 in increasing order. b, o, 1 Let z be (12/5)/((-574)/70). Let h be 343/369 - (0 + 1). Let i = h - z. Sort -2/5, 0, i in decreasing order. i, 0, -2/5 Suppose -2*j = 5*t - 20, 0 = 2*j - 5*t + 3*t - 6. Sort -29, j, -3 in descending order. j, -3, -29 Let b = -50 - -50.55. Let w = -0.58 + b. Put w, 3, 0.1 in descending order. 3, 0.1, w Let n be 3/(-10 - -16) + 6. Put n, -3/2, -4 in decreasing order. n, -3/2, -4 Let a = -257 + 259. Sort -3, -5, a, 27. -5, -3, a, 27 Let r = 15/2 + -8. Let z = -34/105 + 4/105. Put r, z, 5 in increasing order. r, z, 5 Let k be (22/(-55)*-10)/2. Sort 173, 5, k. k, 5, 173 Let b = -2.32 + -0.68. Let a = 0.4 - 1.2. Let r = 0.3 + a. Sort b, r, 2 in decreasing order. 2, r, b Let t(k) = -k**3 - 11*k**2 + 13*k + 10. Let b be t(-12). Sort b, 8, 1 in decreasing order. 8, 1, b Let s(h) = -2*h**2 + 4*h - 3. Let g be s(3). Let x = 63 - 58. Put g, -4, x in increasing order. g, -4, x Let o = -2 + 4. Let s = -28 - -32. Suppose -2*c = -3*i - 2, 3*c + c + 10 = -i. Put o, i, s in descending order. s, o, i Suppose z - 2 = -11. Suppose 7 - 19 = 4*v. Let l be (-2)/2*(2/(-1) + v). Sort z, -3, l in decreasing order. l, -3, z Let i = 81 - 80.7. Put 1, 17, 1/6, i in increasing order. 1/6, i, 1, 17 Let p be (2 - 15/6)/(10/(-4)). Sort p, -1/5, -0.5 in decreasing order. p, -1/5, -0.5 Let b(l) = 9*l - 46. Let w be b(4). Let n be 4/10 + 96/(-15). Let s = n - w. Put s, 2, 1 in ascending order. 1, 2, s Let l(a) = -6*a + 1. Let y be l(1). Put -11, 3, y in descending order. 3, y, -11 Let d = 1416 + -1415.9. Put -2/9, d, -1/7, -3 in ascending order. -3, -2/9, -1/7, d Let d be 0 + (-1)/(-1) + 6. Let s = 17.8 + 12.2. Let w = s - 27. Sort -1, w, d in decreasing order. d, w, -1 Let d(y) = -y + 5. Let f be d(5). Suppose -16 = -3*t - x, -5 = -3*x - 2. Put t, -6, f in decreasing order. t, f, -6 Let s = 487 - 482. Put 43, s, -1/6 in descending order. 43, s, -1/6 Let z be 6 + -2 - (-18 + -5 - 0). Suppose -4*y - 5*y = -z. Sort 0, y, -13 in decreasing order. y, 0, -13 Let r be 21/7 + 1 + (0 - 4). Put 8, r, 12/7, -5 in descending order. 8, 12/7, r, -5 Let c be ((-75)/10*(-16)/(-3))/(-1). Let t = -42 + c. Sort 3, 1, -1, t in descending order. 3, 1, -1, t Let g be 8022/30 + (-2)/10. Let t = -266 + g. Sort -4, -3, t in ascending order. -4, -3, t Let x = 11.99 + -12.8. Let j = x - -0.8. Let z = -13/3 - -17/3. Put z, j, 1 in increasing order. j, 1, z Suppose -20 = -g - 0*g - 5*l, 0 = -3*g + l - 20. Let c(q) = q**2 + 5*q + 5. Let j be c(g). Suppose -j*h = 4*f - 4, 0*h + 5*h = 5*f + 40. Sort -3, -1, h. -3, -1, h Let d = 60 + -40. Let n be (-4)/d - (-45)/100. Put n, -0.5, 2/9 in decreasing order. n, 2/9, -0.5 Let o(u) = -u - 8. Let r be o(-4). Suppose 0 = -5*p - 378 + 333. Sort 0, p, r in descending order. 0, r, p Let o = 3.2 + -0.6. Let t = 0.4 + o. Let s = -1.34 + 0.94. Sort s, 1, t. s, 1, t Let d be -11 + -1 - (-52)/(19 + -32). Put d, -5, 2 in ascending order. d, -5, 2 Let m = 1.29 + -0.29. Let j = -3/202 + 829/1414. Let d = 5 - 5.05. Sort m, j, d in decreasing order. m, j, d Let r = -1 - 1. Let c = -1 - 2. Suppose 9*o - 10 = 4*o. Sort r, c, o. c, r, o Suppose -d - 2*d - 5*m = 1, 0 = -5*d + m - 11. Sort d, 17, -41, 2. -41, d, 2, 17 Let x be ((-8)/28)/((-2)/(-84)*6). Sort -28, 1, x. -28, x, 1 Let y = 0.024 - 3.024. Let q = 15 + -13. Sort q, y, 0 in decreasing order. q, 0, y Let m = -602/5 - -120. Sort -0.3, -4, 1, m. -4, m, -0.3, 1 Suppose 3*p - p + 142 = 0. Let u be p/2 - (-1)/6. Let j = -35 - u. Sort j, 0.2, -4 in increasing order. -4, 0.2, j Let h = -29 + 47. Let s = h - 18.1. Put s, -6, -3 in decreasing order. s, -3, -6 Suppose 118 + 158 = -4*p. Let n = p - -343/5. Put n, -0.2, 1 in increasing order. n, -0.2, 1 Let g = 971 + -971. Put -5, 2, g in descending order. 2, g, -5 Suppose 9*m = 4*m. Suppose -c + 76 = -l, 4*c + 335 = -6*l + l. Let f = 143/2 + l. Put f, -1/4, m in descending order. f, m, -1/4 Let p(l) = 3*l**3 + 12 + 3 + 1 + 17*l**2 - 17*l - 4*l**3. Let h be p(16). Sort 2, -4, h in decreasing order. 2, h, -4 Let j be 114/24 - (-2)/8. Suppose -y + 2*y + 19 = -4*z, -j*y - 2*z - 23 = 0. Let g(v) = 2*v**2 + v - 4. Let x be g(0). Put y, -0.1, x in increasing order. x, y, -0.1 Let o(v) = -v - 9. Let j be o(-13). Let c = j + 4. Suppose -u = -2*u + 2*q + 13, c = -2*q. Sort 1, -4, u. -4, 1, u Let y = -5.11 - -0.11. Let b = 70.1 + -70. Sort b, 5, y in ascending order. y, b, 5 Let u be ((-44)/12 - 1)*3. Let k = u + 18. Let s(p) = p + 2. Let l be s(-4). Sort -1, k, l in descending order. k, -1, l Let b be ((-36)/30)/(3 + (-51)/15). Let f be 6/(b/9*2). Sort -1, f, 0 in ascending order. -1, 0, f Let o be (-1)/(((-1881)/18)/(-19)). Let p = 3/11 + 7/55. Sort -0.3, o, 2, p. -0.3, o, p, 2 Let s = 722 + -724. Sort 5, s, 4, -4/9. s, -4/9, 4, 5 Let p = 78.9 + -79. Let u = -29640/11 - -2692. Let a = 151/55 + u. Sort p, a, 0.5. p, a, 0.5 Suppose 4*s = 17*x - 16*x + 18, 85 = -4*x + 3*s. Put 1, x, -4, -2 in decreasing order. 1, -2, -4, x Let n = -601/2 - -18029/60. Let l = -1/15 + n. Let b = -121/870 + 1/174. Put b, 5, l in decreasing order. 5, l, b Suppose 724*x = 713*x - 22. Sort x, -1, -6 in descending order. -1, x, -6 Let j = -39 - -38.6. Put j, -2, -4, 0.2 in descending order. 0.2, j, -2, -4 Suppose -5*x + 2*b - 5*b = 2, x + 3 = 2*b. Sort 1, x, 5 in decreasing order. 5, 1, x Suppose -3*x = -7*x + 204. Let t = x - 53. Sort -3, t, -1, 1 in increasing order. -3, t, -1, 1 Let n = 68 + -66. Let k be n/(-3*(-16)/(-6)). Sort 4, 3, k, 0.3 in ascending order. k, 0.3, 3, 4 Let m = -434 + 434. Sort m, 0.27, -4. -4, m, 0.27 Let z be -2*(34 + 3 + -7). Let d be z/(-8) + -1 + 2. Let r = d + -9. Put -3, r, 0.05 in descending order. 0.05, r, -3 Suppose -5*a - 92 = 33. Let u = a + 29. Put 0, 3, 1, u in increasing order. 0, 1, 3, u Let y(b) = b**3 + b**2 + 66*b + 222. Let q be y(-3). Let w = -2 + 1. Put 3/4, w, q in ascending order. w, 3/4, q Let a = -557 + 555. Sort -610, a, 0.3 in increasing order. -610, a, 0.3 Let k be -1 - (2/(-1) + -10). Let g = -11 + k. Put -4, -31, g in increasing order. -31, -4, g Let h = -40 + 117. Let l = -76.7 + h. Sort l, -5, -2 in increasing order. -5, -2, l Let x = -1179/7 + 169. Let q = 0.2 + 4.6. Let i = q + -0.8. Sort -3, x, i in descending order. i, x, -3 Suppose -12 = 11*o - 56. Sort -4, 0, -3/5, o in descending order. o, 0, -3/5, -4 Let h(n) = -5*n + 1. Let u be h(1). Let f = -3 + 1. Let v be 2/3 + 5 - (-4)/(-6). Sort u, f, v in descending order. v, f, u Let m = -98 + 101. Let g(z) = -5*z**3 - z**2 + 4*z + 5. Let b be g(-1). Sort m, -4, 0, b. -4, 0, m, b Let z(i) = 5*i + 123. Let d be z(-25). Put -4/3, d, 0.1, -6/13 in increas
{ "pile_set_name": "DM Mathematics" }
c)*(6 + 0 - 4)) to k*c + n + t*c**2 and give t. -441 Express 2719 - 2*m**3 - 1230 - 1046 - 2*m as o*m**3 + b*m + z + l*m**2 and give o. -2 Express (-1 + 1 + l)*(-l - 2*l + 5*l) + 0 + 0 + 3*l**2 + 2 - 2 + 2*l**2 + 21*l**2 + 669*l + 16*l**2 - 39*l**2 as h*l + t + p*l**2 and give h. 669 Rearrange 3*z**3 + 1 + 9*z - 47*z + 18*z + z**2 - 3*z**4 - 3 + 21*z to the form b*z**2 + q + s*z**4 + n*z + x*z**3 and give q. -2 Rearrange 685*p**2 - 65*p + 2067*p**2 + 65*p to n + t*p + k*p**2 and give k. 2752 Express (-7*f + 4*f - 3803 + 4250)*(3*f + 5 - 5)*(-2*f - 2*f + 2*f) in the form n*f + l*f**2 + v + y*f**3 and give y. 18 Rearrange 3*h - 6 + 6*h**2 + 3*h**3 - 7*h**2 + 14 to the form n*h**2 + d + q*h + j*h**3 and give q. 3 Express 118*b - 1978*b - 2987*b + 98*b - 2428*b as i + s*b and give s. -7177 Rearrange 5*j**2 - 3*j**2 + j**2 - 5*j**2 + j**2 + 2*j**2 + (-82303 + 82303 + 481*j)*(-2*j + 3*j + 0*j) to h + m*j**2 + w*j and give m. 482 Express 874*o**3 + 5*o**4 - 433*o**3 + 12*o**2 - 1 - 441*o**3 - 2*o in the form w + b*o + g*o**4 + h*o**2 + q*o**3 and give w. -1 Rearrange -7592*b - 22 + 3791*b + 3789*b to the form t + o*b and give t. -22 Express 5 + 24*i - 75624*i**2 - 2 + 0 + 75609*i**2 as w + p*i + z*i**2 and give z. -15 Rearrange (9*d - 11*d + 26 - 5)*(193 - 494 - 265) to b*d + u and give u. -11886 Express (300*v**2 + 316*v**2 - 54 - 634*v**2)*(2*v + v - 6*v) as n*v**2 + c*v**3 + a + r*v and give c. 54 Rearrange (i + 1 - 1)*(360*i**2 - 357*i**2 + 2*i - i) - 116*i**3 + 27*i**3 - 29*i**3 to q + r*i + f*i**3 + n*i**2 and give f. -115 Express (-1 + 1 + 5*u)*(0*u - 4*u + 5*u) + 0*u**2 - u**2 + 3*u**2 + (-2*u - 1 + 1)*(6*u + 2*u - 7*u) + 4*u**2 - 5*u**2 + 0*u**2 as r*u + o*u**2 + y and give o. 4 Rearrange -372871*u**3 - 3 + 1 + 372870*u**3 - u**4 - u**4 - 20*u to y*u**3 + f + z*u**2 + t*u + p*u**4 and give y. -1 Express (4 - 4 - 613*l**2 + 844*l**2)*(-1 - 6 + 3) as n*l + h + c*l**2 and give c. -924 Rearrange (0 - 1 - 1)*(2*d - 2*d + d)*(-1 - 1 + 4)*(-143*d**2 + 279*d**2 - 31*d - 122*d**2) to the form t*d**2 + k*d + u + i*d**3 and give t. 124 Rearrange 0*t - 4*t + 2*t + (-1 + 3 - 1)*(-3*t + 3*t - t) + 1006 + 3811 - 66702*t + 66700*t to the form w*t + p and give w. -5 Express -136293 - 136295 - 105*i + 272589 + 5*i**2 as s*i + o*i**2 + p and give p. 1 Express 57*x**3 + 994*x**2 - 12*x**3 - 993*x**2 - 22 - 5 - x + 13*x**3 in the form i*x + o*x**3 + b*x**2 + k and give o. 58 Rearrange 3*y**4 - 6*y**4 + 2*y**4 + (-3 + 0 - 2)*(57*y**4 + 30*y**4 + 13*y**4) + 1 - y**4 - 1 to the form z*y + l*y**4 + v + i*y**2 + n*y**3 and give l. -502 Rearrange 16*z - 24*z - 934 + 979 to the form c + v*z and give v. -8 Rearrange (5*o**3 + o**3 - 15*o**3)*(0 - 2*o + 0) - 14*o**3 + 849*o**2 - 849*o**2 - 19*o**4 to the form w*o**2 + f + t*o**3 + l*o + d*o**4 and give t. -14 Express -2467 + 6*p**2 + 5314 - 2473 in the form u*p + a*p**2 + w and give a. 6 Rearrange -5 - 3*u**2 + 1215*u**3 - 1211*u**3 - 4 to r*u + z*u**3 + p*u**2 + d and give p. -3 Rearrange 447 - 445 + g**3 + 1429*g + 352*g to the form x*g + r + b*g**2 + t*g**3 and give t. 1 Express 0*b**2 - b**3 + 275 - 133 + b**4 - 380*b - 139 - b**2 as k*b**4 + a*b + d + i*b**3 + t*b**2 and give a. -380 Rearrange -x**4 + 55*x - 2*x**2 - 12*x**3 + 0*x**2 + 0*x**4 + 55 - 58*x - 37 to o*x + i*x**3 + f*x**4 + b + t*x**2 and give f. -1 Rearrange 2*b**2 - 204*b - 1749*b - 2105*b + 598*b to f + j*b**2 + a*b and give j. 2 Express (75480*c**2 + 1468*c**3 - 75480*c**2)*(-3*c - 2*c + 6*c) as d*c**2 + s*c**4 + t + r*c + f*c**3 and give d. 0 Rearrange 470 + 594*j**2 - j - 157*j**2 - 467 to l*j + s*j**2 + c and give c. 3 Express 16 - 163*x + x**3 - 156*x + 149*x**2 - 504*x**2 + 319*x in the form m*x**3 + y*x**2 + l*x + o and give y. -355 Express -17*p**2 + 25954*p + 12*p**2 - 26078*p + 2 + (0*p + 2*p + 0*p)*(-1 + p + 1) - 2 + 2 - p**2 + 2*p**2 - 5*p**2 + 0*p**2 as v + o*p + y*p**2 and give v. 2 Rearrange 37209*b**2 - 39912*b**2 - 1 + 1 to the form l*b**2 + a + r*b and give l. -2703 Express -164*r**2 - 382*r - 376*r + 749*r as h + y*r + a*r**2 and give y. -9 Rearrange -134 + 134 - 503*l + 5950*l to t*l + h and give t. 5447 Express 1749*o**3 + 4578*o**3 - 4*o**2 + 77*o**3 in the form g*o**3 + k*o + q + d*o**2 and give d. -4 Express 160 - 25*s**3 + 4908038*s - 4908038*s in the form u + o*s**2 + z*s + x*s**3 and give x. -25 Rearrange 15 - 527*y**2 - 13*y**2 + 2*y**4 - 2*y + 554*y**2 + 2*y**3 to the form u + r*y + l*y**4 + c*y**3 + n*y**2 and give c. 2 Express (-y**2 - y**2 + 7*y**2)*(9 + 118*y + 28*y - 223*y**2 + 225*y**2) as i*y + k*y**2 + a + c*y**3 + w*y**4 and give k. 45 Rearrange 2*d**3 - 3*d**4 + 191956265*d**2 - 191956265*d**2 + 2461*d to k*d**2 + v*d + c*d**3 + w*d**4 + r and give v. 2461 Express -63*o - 62*o + 171*o - 55*o - 176 as m + l*o and give l. -9 Rearrange 20539*y - 41069*y + 11*y**3 + 20530*y - 2 - 43*y**4 + 2*y**2 to z*y + a + f*y**2 + i*y**4 + g*y**3 and give g. 11 Rearrange (-27 + 49 + 945*m + 379*m - 24)*(2*m - 3*m - 3*m) to the form f + t*m + n*m**2 and give n. -5296 Express -4*m**3 + 1748*m + 4 - 1749*m - 5 - 121*m**2 - 1 in the form t*m + u*m**3 + k*m**2 + s and give u. -4 Rearrange -194*i + 499*i**2 - 214*i + 400*i to c*i + v*i**2 + g and give c. -8 Express 3 - 3 + 3*y**3 + 24 + 5*y**3 - 24 + (0*y - 2*y - y)*(-289 + 11*y**2 + 289) as a*y**3 + j + c*y + h*y**2 and give a. -25 Express -1853 - 132*h + 1853 + (-4 + 2 + 0)*(2*h + 2 - 2 + (-h + 0 + 0)*(-1 + 10 + 2) - 1 - h + 1) in the form w*h + f and give w. -112 Rearrange 15 + 20 - 53 - 16648*m + 18 + (-2 + 0 + 0)*(m - 6*m + 3*m) + 2 - 2 + 2*m to b*m + t and give b. -16642 Rearrange (534*n + 215*n - 243*n)*(0*n**3 - n**2 - 8 + 8*n**3 - 7*n**3) to r*n**4 + f + u*n**2 + i*n + j*n**3 and give i. -4048 Rearrange 134859*x**2 - 474*x**3 - 134859*x**2 + (-4*x + 4*x - 2*x**3)*(-1 + 2 + 1) to q*x**3 + t*x**2 + u + g*x and give q. -478 Express -118 + 302 - 134 + 15*t - t - 134 in the form d*t + n and give n. -84 Express ((-2 - 6 + 1)*(3 + 3 - 3) - 558 - 89 - 19)*(1 - 2*t - 1) in the form a + s*t and give a. 0 Express (-35*d + 166 - 166)*(128075 - 99*d**2 - 4*d**2 - 128074) in the form q*d**3 + m + c*d**2 + s*d and give s. -35 Rearrange -1184*i**2 + 0*i + 0*i + 2*i + 2 - 205*i**2 - 351*i**2 to the form v*i**2 + g*i + t and give g. 2 Rearrange 414*j**3 - 134*j**3 + 2*j**2 + 2*j - 157*j**3 + 22 - 122*j**3 to r + i*j**3 + a*j**2 + u*j and give a. 2 Rearrange (3*t - 4*t - t)*(99 + 5022 + 7905) to the form p + l*t and give l. -26052 Rearrange 394306 - 394306 - 18999*k to f*k + c and give f. -18999 Express (945083 - 945083 - 158*l)*(0*l + 0*l + 2*l + (-3 - l + 3)*(-3 - 1 + 3) - l + 6*l - 3*l) as m*l + z*l**2 + x and give z. -790 Rearrange -120*r**3 + 10*r**2 - 8*r**2 - 2 + 10*r + 17*r + 119*r**3 to the form j*r**3 + i*r**2 + d*r + k and give k. -2 Rearrange -30*m - 5*m**2 + 92*m - 21*m - m**4 + 3 - 36*m to the form j*m**3 + n + t*m + o*m**2 + g*m**4 and give t. 5 Rearrange -f**3 + 20*f**3 + 5*f**2 + 6*f**3 - 8*f**4 - 8 + 2*f - 26*f**3 to h + m*f**3 + y*f**4 + s*f**2 + k*f and give y. -8 Express 47*r**3 - 558*r**2 + 558*r**2 + (0*r**3 + 2*r**3 + 0*r**3)*(5 - 3 + 3) - 3*r**3 + r**3 + 0*r**3 in the form d*r**2 + g + a*r + f*r**3 and give f. 55 Rearrange (x**2 + x**2 + 0*x**2)*(-2*x - 2 + 2) - 3*x + 2*x**3 + 3*x - 707584*x**2 + 6989*x**3 + 707584*x**2 to the form n*x + l + g*x**2 + p*x**3 and give p. 6987 Express 18*v - 5690*v**2 + 11349*v**2 - 5682*v**2 + 2*v**3 in the form j*v + b*v**3 + a*v**2 + n and give j. 18 Rearrange (3 + 2 + 13)*(13*m - 23*m - 146*m + (-m - 2*m + 5*m)*(-5 + 2 + 2)) to h*m + c and give h. -2844 Express (5 - 1 - 1)*(-3182*t + 1713*t - 2156*t) in the form u*t + y and give y. 0 Express s - s**2 - s + (2 + 1 - 14)*(0*s + 5*s - 3*s)*(3*s + 45 - 11 - 5*s) in the form g*s + l*s**2 + y and give g. -748 Rearrange -198*m**2 + 78*m**4 - m**3 - 110*m**2 + 302*m**2 + 2*m + 195*m**4 to the form v*m + o + u*m**2 + n*m**3 + h*m**4 and give h. 273 Rearrange -7*c**2 + 18*c**2 - 6*c**2 - 6 - 3*c**2 - 2*c - 9*c**2 to the form n*c**2 + b*c + x and give n. -7 Rearrange -2*c**4 - 743*c + 4*c**4 - 437 - 2236 + c**3 + 743*c to the form a*c**3 + l + g*c + y*c**4 + z*c**2 and give a. 1 Rearrange (-5828 + 4992 - 7863)*(0 + j**4 + 0) to the form n*j + s + r*j**2 + i*j**4 + z*j**3 and give i. -8699 Exp
{ "pile_set_name": "DM Mathematics" }
t p = -603/1358 + 3/194. What is the smallest value in -0.2, p, h? p Let f = 2.87 + 0.13. Which is the biggest value? (a) -3/5 (b) 2/15 (c) f c Let m = -1100098/5607 + -40/1869. Let k = m - -196. Which is the third biggest value? (a) 1/3 (b) k (c) 4 b Let j be (-3 + 1)/12*-2. Let o = -32446 + 290941/9. Let g = -119 - o. Which is the third biggest value? (a) g (b) 4/3 (c) j a Suppose -5*v - 25 = 2*a + a, 2*a - 3*v = -4. Let o = 8 - 11. What is the smallest value in 0.1, a, o? a Let s = -4 + 4.1. Let q = 1.1 + -0.1. Which is the smallest value? (a) s (b) -5 (c) q b Let h = 9 + -5. Let v = -2 + h. Suppose -8 = 5*m + 2. Which is the third biggest value? (a) m (b) -1 (c) v a Let q be 24/(-18) - (-20)/6. Suppose l + q = -l. Which is the third biggest value? (a) -0.1 (b) l (c) 3 b Let s(b) = -3*b + 6. Let z(h) = h**3 - 5*h**2 + 6*h - 4. Let u be z(4). Let i be s(u). Let x = 123 - 123.3. What is the second smallest value in 4, x, i? x Let t = -49 + 33. Let r = t + 19.5. Let w = r + -4. Which is the second biggest value? (a) -4 (b) w (c) -2 c Let z = 0.7 + -1. Let d = 95 + -94.5. Let x = z + d. What is the smallest value in 2, -1/9, x? -1/9 Let l = 19 + -20. Which is the second biggest value? (a) -3 (b) 0 (c) l c Let l = 13 + -14. What is the biggest value in 3, l, 1? 3 Let g = -12 - -11. What is the second smallest value in g, -5, -4? -4 Let x be ((-1)/(-2))/(5/50). Which is the biggest value? (a) x (b) -3 (c) 2/3 (d) 0.1 a Suppose -4*o - 16 = -8*o. Let g = -3 - 2. Which is the third biggest value? (a) g (b) 3 (c) o a Let o = -0.5 + 1. Let l = 0 - 0. Let n = 3 - -1. What is the second biggest value in o, l, n? o Suppose 0 = 6*k - k. Which is the second smallest value? (a) 2 (b) -2 (c) k c Let j be ((-48)/(-216))/(1/18). Let l be (-4 - (-2 + 4))/(-1). Let o be (-10)/l*(4 + -1). Which is the biggest value? (a) -1/5 (b) o (c) j c Let v = -0.1 + 0.1. Let o = 0.5 - v. Let g be (-58)/(-210) - 4/28. Which is the third biggest value? (a) 1/4 (b) g (c) o b Let w = -152.1 - -152. What is the third biggest value in 3, -3/17, w? -3/17 Let o = 1.1 + -1. Suppose -2*m = m + 126. Let g be (6/(-2))/(m/4). What is the biggest value in o, g, -1/4? g Let s = -2/43 - 60/559. Suppose 2*q - 20 = 3*k - k, -5*q + 20 = k. Which is the second smallest value? (a) k (b) s (c) -2 c Let i be ((-3)/4)/(3/12). Which is the biggest value? (a) i (b) 5 (c) -0.3 b Let q = -0.298 - 0.002. Which is the smallest value? (a) q (b) -2 (c) -0.1 (d) 2 b Let v = 0.6 - 0.62. Let k = 5.02 + v. Which is the second smallest value? (a) k (b) -2/9 (c) -1 b Suppose 3 + 1 = n. Let k = 15 - 15.2. Let w = k + 0. Which is the smallest value? (a) w (b) 3 (c) n a Let o = 2 - 5. Let b be (-3)/(-5)*4/(-12). What is the third biggest value in o, b, 2? o Let k = 6 + -3. Let x be -1 + (-3 - -2) - k. What is the third smallest value in -0.5, -0.2, x? -0.2 Let a = 138 - 136. What is the third smallest value in a, -1, 0.1, 4? a Let q be (-4)/(-6) - (-95)/(-75). Suppose 2*x = 2*m - 3 + 1, 3*m - 11 = x. Suppose -5*u - 6 = k, 3*k - x*u - 3 = -2. What is the third biggest value in q, k, 1? k Let j = 3 - 2. Let g = 0.34 - 0.44. Which is the second biggest value? (a) 3/2 (b) j (c) g b Let b = -49695/41 + 1212. Let y = b - 196/123. What is the biggest value in -1/5, y, -0.1? -0.1 Let z = 0.8 + -0.3. Let k be (-2)/(-6) + 24/9. Let i be ((-8)/(-3) + -3)*3. Which is the second biggest value? (a) k (b) z (c) i b Let s = -377/28 - -55/4. Let l = -1.05 - -0.05. Which is the biggest value? (a) s (b) 1/5 (c) l a Let b = 7.4 + -7. What is the biggest value in -0.1, b, -0.03? b Let l = 17/235 + 6/47. Let d = 115 + -350/3. What is the third smallest value in d, -2/9, l? l Let p = -167/4 + 42. Let s = -2 + 5. Let j = s - 1. What is the third biggest value in p, 2/7, j? p Let j = -4.8 + 0.8. What is the second smallest value in 0, 2, -1/2, j? -1/2 Let y = 48 + -142/3. What is the fourth biggest value in 0.5, y, 4, -5? -5 Let s be ((-15)/20)/(15/(-4)). What is the biggest value in s, 2/13, 0.1, 0.5? 0.5 Let y = 20.038 - 0.038. Let h = 16 - y. What is the biggest value in 0.5, -2/5, h? 0.5 Let f(o) = -o - 14. Let t be f(-10). Which is the second biggest value? (a) t (b) 0.2 (c) 3 b Suppose 1243 = -5*g - 2*y, -248 = -4*g + 5*g + y. Let h = 528482/9 - 58471. Let s = g + h. What is the third smallest value in s, 2, 4? 4 Let g = -1.34 - -0.04. Let p = 0.7 - g. What is the second smallest value in -3/8, p, 5? p Let o be (-116)/30 + 20/(-150). Which is the third smallest value? (a) -3/7 (b) o (c) 0.5 c Let a be (-2)/8*1*-4. Let l be (0 + (-4)/(-3))/2. Let y = -25/19 + 301/171. What is the second smallest value in a, l, y? l Let p = 3 - 3.5. Suppose -5 = 3*z - 4*z. Which is the second smallest value? (a) p (b) 1/4 (c) z b Let o = 0.18 + 7.82. Which is the smallest value? (a) -0.4 (b) o (c) -0.5 c Let v = -2.3 - -2.1. Let n = -3.5 - -4. What is the third biggest value in 4, n, v? v Suppose -4*d + 3*d = 0. Suppose d = -2*o - 8 + 4. What is the third biggest value in o, -5, -4/7? -5 Let s = 160 - 160. Which is the smallest value? (a) 0.3 (b) s (c) -2/7 c Let j = 89 + -622/7. Let i be 5 + -7 + 5/7 + 1. Which is the smallest value? (a) i (b) j (c) 2/7 a Let n be -5 + (3 - (-32)/(-12))*6. Let v = 0.01 + 3.99. What is the third biggest value in 3, v, n? n Let l = -30.6 + 31. What is the second biggest value in -5, 0.1, l? 0.1 Let z = 157 + -153. What is the fourth smallest value in 1, 8, z, 5? 8 Let u(q) = q**2 + 6*q - 2. Let r be u(-6). Let m be r/6 - (-78)/72. What is the biggest value in -2/7, m, 0.1? m Suppose 9*g + 2*s + 14 = 4*g, -3*g - 16 = 5*s. What is the third smallest value in -3, g, 0? 0 Let h = 20 - 21. Suppose -5*t + j = 2, j - 6 = -3*t - 2*j. Suppose t = -k - k. What is the second biggest value in -0.3, h, k? -0.3 Let n = -53 + 58. Which is the fourth smallest value? (a) 4 (b) -2 (c) 6 (d) n c Let n = -54759/7 + 7843. Let f = n - 20. Let i = 15 + -19. Which is the smallest value? (a) i (b) 4 (c) f a Let l = 2.8 + -2.6. Let n = 3 + -4. Let x(y) = -y**2 - 8*y - 9. Let k be x(-6). What is the third smallest value in n, l, k? k Let u = -4.4 + -1.6. Let a = u - -2. What is the third biggest value in 5, 0.5, a? a Let g = -15 - -13. What is the biggest value in g, 2/9, -3? 2/9 Let a = 20 + -19.9. What is the second smallest value in 0.5, a, 3/7? 3/7 Let q be (-21 - -23) + 14/(-6). What is the smallest value in 3, 6, q? q Let i = 8 - 8. Which is the third biggest value? (a) 0.2 (b) 2/3 (c) i c Let k = -3149/284 + 24/71. Let r = k + 11. Let x = 5/4 + -77/68. Which is the third smallest value? (a) x (b) r (c) -4/5 b Let r = 11/12 + -5/4. What is the second smallest value in 0, 1/6, r? 0 Let n = -2/79 - -245/316. Which is the second biggest value? (a) -3 (b) n (c) 1/2 c Let s = 10 - 18. Let d = 11 + s. Which is the second smallest value? (a) 7 (b) 0.1 (c) d c Let s = 17.2 - 18. Let g = s - -5.8. What is the biggest value in 0.5, 1, g? g Let h = 7.9 + -8.1. Which is the second biggest value? (a) -1/19 (b) h (c) -2/13 c Let v be 14/(-49) - (-2229)/(-994). Let b = v + 2/71. What is the third smallest value in 15, b, 5/6? 15 Let p = -0.3 + -0.5. Let r = 0.3 + p. What is the second biggest value in 0.3, r, 3? 0.3 Let y = -0.5 + -1.5. Let i be -1 + 2 + 20/(-16). Which is the second biggest value? (a) -2/3 (b) i (c) y a Let l(j) = -j - 3. Let v(a) = -a - 2. Let d(p) = 5*l(p) - 7*v(p). Let h be d(1). What is the second smallest value in h, -4, -2? -2 Suppose 2*q - 20 = -2*q. Which is the biggest value? (a) q (b) 2/7 (c) 5/3 (d) 2 a Let j be (0 - 0)*(1 - 2). Suppose j = 3*r - 8 - 10. Let p be (3/r)/(3/(-2)). What is the biggest value in 1, -1/6, p? 1 Let l be ((-32)/80)/((-4)/(-6)). Let j = 11 - 16. Which is the second smallest value? (a) l (b) j (c) -0.2 a Let d = 32 - 27. What is the smallest value in d, 0.04, 3? 0.04 Let i = -5 + 4.94. Let r = i + 1.06. Let u be (26/30)/(-1) - -1. What is the third biggest value in -3/2, r, u? -3/2 Let u(m) = -m**2 + 10*m - 14. Let q be u(8). What is the fourth smallest value in -1/7, 1/4, 0.04, q? q Let h = 0.008 + -5.408. Let x = -5 - h. Let z = -0.6 - -0.4. Which is the third smallest value? (a) 3/5
{ "pile_set_name": "DM Mathematics" }
5*s + 775 = -2*z. Suppose -s = -5*y + 6138. Is y a prime number? True Let n be (6 - 3) + 2 + 0. Suppose n*s + 18396 = 4*o, -4*s + 3*o = o + 14712. Is (-9)/(-21) + s/(-14) a composite number? False Suppose -3 = -5*v + 7. Suppose -5*c + 5490 = -7*d + 2*d, 0 = v*c + 4*d - 2208. Suppose 4*y - k = 2342, -5*y - 2*k + 1834 = -c. Is y composite? True Let a(g) = g**3 - 5*g**2 + g. Let w be a(5). Suppose -4*v = w*u - 27513, 3*u - v - 10308 = 6193. Is u a composite number? False Let f be (4/(-5))/(58/15 - 4). Is ((-3)/f)/((-4)/2608) a prime number? False Let x = 160205 - 25506. Is x composite? False Let t = -8 + 8. Let f(p) = 2*p**3 - 9*p**2 + 4*p + 29. Let m(h) = h**3 - 4*h**2 + 2*h + 15. Let n(k) = -6*f(k) + 13*m(k). Is n(t) prime? False Suppose 3*u = -37*m + 42*m - 2109211, 0 = 2*u - 16. Is m a composite number? False Let r(u) = 13*u - 122. Let v be r(9). Let n(q) = -2*q**3 + 4*q**2 + 3*q + 6. Is n(v) a composite number? True Suppose 0 = -3*w - 2*o + 78933, 4*w - 14*o - 105227 = -11*o. Is w composite? False Let h be 3*32/8 + 5. Suppose -h*t - 3*m = -19*t + 11221, t - 5606 = 3*m. Is t composite? True Let h(n) = 55279*n**2 - 671*n - 2021. Is h(-3) prime? False Let l = 2056 - 169. Let p = l - 670. Is p a prime number? True Suppose 1318 = 5*h - 367. Suppose 0*l - 5*g + 4365 = 4*l, -3*g - 5484 = -5*l. Let o = l - h. Is o composite? True Let z = 272 - 284. Is 13757 + (-18)/z*8/(-3) prime? False Let q(p) = p**3 - 2*p**2 + 2. Let g be q(2). Suppose -356 = -g*u + 308. Let n = u - 129. Is n a prime number? False Let d = 36 + 821. Let m = d + 1082. Is m a prime number? False Let i = 24487 - -770. Is i a prime number? False Let o(l) = -l**3 + 16*l**2 + 3*l + 5. Let j be o(7). Suppose 3*n + 5*a = 2186, 2*n + a - 1936 = -j. Let x = 1230 - n. Is x a composite number? True Let n(d) = 20*d**2 - 24*d + 93. Let x be n(-21). Let p = 344 + x. Is p composite? True Let m = 74072 - -35682. Is m composite? True Suppose -4*p = -a - 0*p + 15, 4*a + 3 = -5*p. Let h be (-96)/6*a*2/(-8). Is (1317/h + -5)*(5 - 1) a prime number? True Suppose 4*v - 5*l + 0 = -5, 0 = -4*v - 4*l + 4. Is (6510/(-30))/(v + -1) a prime number? False Suppose -3*k - 4520 = -23876. Let b = 11068 - 7449. Let h = k - b. Is h a prime number? True Let v(f) be the first derivative of -f**4/4 - 14*f**3/3 - 25*f**2/2 + 11*f - 3. Let m(k) = -19*k + 61. Let r be m(4). Is v(r) prime? False Let g = 31747 + -22229. Suppose 37576 = 5*q - m - 10084, -q + 3*m + g = 0. Is q prime? True Suppose 5296 + 6052644 = 20*q. Is q a composite number? True Suppose 4*k + 4 + 1 = 3*a, 0 = 3*k + 5*a - 18. Suppose -144 + 44 = -50*v. Is v + (3 + k)*8004/48 a prime number? False Is -4 - -2*468/8*373 a prime number? False Suppose -70*b + 162228 = -58*b. Suppose 2*v = 5*r - b - 10782, 14589 = 3*r + 3*v. Is r prime? True Suppose 7*l - 176541 = -69665. Suppose 315*r = 319*r - l. Is r prime? False Let v(w) be the second derivative of 192*w**5/5 - w**4/6 + 11*w**3/6 - 19*w**2/2 - 2*w - 57. Is v(2) composite? True Suppose n - a = 37191, -2*a - 223130 = -10*n + 4*n. Is n composite? True Let j(g) = -g**3 + 3*g**2 + g - 2. Let t be j(3). Let r(f) be the first derivative of 227*f**2/2 - 4*f - 1670. Is r(t) composite? False Suppose 27*w - 231*w = -3293172. Is w prime? False Let i = -58 + 58. Suppose 3*c - b + 2*b - 23911 = i, -4*c + 31890 = -3*b. Suppose 0 = -g - 2*g + c. Is g composite? False Suppose 2*r - 2*l - 85300 = 0, -5*r - l = -13*l - 213257. Is r a composite number? False Suppose 2*q + p = 495161, -10*q + 14*q - 10*p - 990286 = 0. Is q prime? True Suppose 3*z + 3 = -5*p, -10*z - 3*p + 3 = -7*z. Suppose z*o - 2268 = 4*g, 4*o = -5*g + 2371 - 121. Is o prime? False Let v = 11 - -20. Let m = v + 187. Suppose 0 = 5*r - m - 217. Is r a prime number? False Suppose -3*y + 2*j = -74, 2*j - 64 = -3*y + 30. Suppose -7887 = -y*h + 25*h. Is h a composite number? True Suppose -25*c + 16846852 = -c + 20*c. Is c a prime number? True Suppose -49*b = 108*b + 34*b - 91026589. Is b a prime number? True Let y(n) = -159*n + 1. Let x(h) = h**3 - 8*h**2 - 11*h + 12. Let z be x(9). Let l be y(z). Let o = -476 + l. Is o a composite number? False Let v = 134147 - 36828. Is v composite? True Suppose t + 38734 = 4*w, 2*t + 62747 + 14730 = 5*w. Is t/(-4)*(-102)/(-51) a composite number? False Let a(u) be the third derivative of u**6/120 + 3*u**5/20 + 5*u**4/24 - 8*u**3/3 - 19*u**2. Let l be a(-8). Is (-212)/6*(-1 + (-52)/l) a composite number? True Let d(m) = -17*m - 122. Let w be d(-7). Is (-256565)/(-46) + w/(-2) prime? False Suppose -5*i = -2*y - 14, i - 2 = y + 2. Let d be (2767/i - 2) + 3/(-2). Suppose 5*m + 5*p - 1505 = 0, -4*m - 167 = -5*p - d. Is m composite? True Suppose 4*q - 2*r = -3*r - 775, -5*q - 2*r - 971 = 0. Let j = -123 - q. Let s = 87 + j. Is s prime? True Let u = -3 - -1. Let w be (4*u*-1)/(-1). Is (-1230)/w + (-9)/12 + 2 a prime number? False Suppose -88*r + 91*r = -4*k + 2172012, 0 = 7*k + 4*r - 3801021. Is k a prime number? False Is (7 + 21060/8)/(13/78) composite? True Let s be (3 + -2)*(2 - -2). Suppose -3*i - 1491 = -s*i. Suppose -b = 2*z - i, -4*z + 10 = -2*z. Is b composite? False Suppose 16*a + 14 = 62. Suppose 0 = 4*o + o + a*v - 18264, -15 = -5*v. Is o a composite number? True Suppose 0 = -5*b + 20, j + 2*b - 10 = 10. Let l(v) = 3*v - 33. Let z be l(11). Suppose 0 = -f + 2*s + 551, -2*s + 2 - j = z. Is f prime? True Is 14206/(((-792)/90)/(-22)) a prime number? False Let h(b) = 5*b - 1. Let w(n) = 467*n + 224. Let f(x) = -6*h(x) - w(x). Is f(-7) a composite number? True Let g = -60 - -62. Let h = -3 - g. Is 128 + h + 3 + 1 a prime number? True Let r(s) = 2627*s - 44. Let j be r(9). Is (j/4)/(21/4 - 5) a composite number? False Suppose 18*o - 16*o + 4*v - 660990 = 0, 5*o = 4*v + 1652391. Is o a prime number? False Let d = 5234 + -3133. Is d a prime number? False Let u = 822706 - -575551. Is u composite? True Suppose g + 22 = -g + 4*z, 0 = -2*z. Let a(m) = -255*m + 22. Is a(g) a composite number? True Suppose -73469 = -4*k - 5*n, 0 = -k + 86*n - 84*n + 18377. Is k a composite number? False Let a be -6 - (5 - 6481)/4. Let w = 2644 - a. Is w a composite number? False Suppose 0 = -y + 2*o + 3167, 30*o - 26*o = 3*y - 9497. Is y composite? False Let x be 30*((-84)/(-18))/(-14). Let n(b) = 4*b**2 + 31 - 11 + 19*b + 21. Is n(x) composite? False Let g be (-39)/26*-1*28. Let b be (g/(-28))/(6/(-16)). Is (-6)/b + 1045/2 a prime number? True Let h = 1066056 + -441821. Is h composite? True Suppose -5*s - k - 80053 = -3248359, -3*s + k = -1900982. Is s a prime number? False Is 2/(20/(-638338))*85/34*-2 a prime number? True Is 4/20 + 51950976/220 a composite number? True Suppose -3*y + 24875 = -14431. Suppose 0 = 5*l + y - 3657. Let d = -1248 - l. Is d a prime number? True Suppose -3*o - 23309 = q - 6663, 0 = o + 2*q + 5542. Let m = o + 8363. Is m a composite number? True Is ((-56)/(-196) + 44/(-56))/(2/(-544372)) composite? False Let d = 29 - 29. Let m be (-3 + d + 1)*3. Is (-5)/(-1)*(5 - m) composite? True Suppose p - 424531 = 4*s + 1447168, 0 = -5*p + s + 9358609. Is p composite? True Suppose 0 = 5*i - 25115 - 87290. Let m be -6 - 36/(-6) - -6342. Suppose -m = -19*o + i. Is o a composite number? True Let y = 1694 + -710. Suppose 6*a - y = 3*a. Suppose 4*p - 484 = a. Is p composite? True Let o = -790035 + 1373148. Is o composite? True Let n(v) = 10*v - 170. Let b be n(-10). Is (-734166)/b + 2/(-15) composite? False Let l = 80 - 78. Suppose 3*c = -p + 16676, 3*c - c - 11104 = l*p. Is c composite? False Let i = 287964 - 172283. Is i a composite number? True Let s(d) = 3*d**2 + 5*d - 6. Let j be s(2). Suppose 0 = j*z - 10*z - 11586. Is z a prime number? True Let z(y) = 67*y**2 - 2*y + 21. Let x(f) = 8*f + 28. Let q be x(-4). Is z(q) prime? False Suppose -4*a - 10364 = -6*n + 2*n, 5*a + 10368 = 4*n. Suppose 0 = -0*q + 13*q - n. Is q a prime number? True Suppose 10*x = 40, 3*p + 5*x - 1207895 = 9*x. Is p a prime number? False Let x = 29841 + 5228. Is x a prime number? True Let w(i) = 206*i - 429. Is w(25) a composite number? False Let x = 19 - 47. Let y(n) = -317*n + 267. Is y(x) a composite number? True Suppose 23*w = 185409 + 373882. Is w composite? False Suppose 126349 = 3*z - m, 35*z - 210565 = 30*z + 5*m. Is z a composite number? True Is (((-2816502)/
{ "pile_set_name": "DM Mathematics" }
698, -19048, -25398? -6350*k + 2 What is the h'th term of -22, -94, -218, -394? -26*h**2 + 6*h - 2 What is the s'th term of 72, 594, 2026, 4824, 9444, 16342, 25974, 38796? 76*s**3 - s**2 - 7*s + 4 What is the z'th term of 2082, 2083, 2084, 2085, 2086? z + 2081 What is the w'th term of 3, -1, -7, -15, -25, -37? -w**2 - w + 5 What is the n'th term of -966, -1932, -2898? -966*n What is the h'th term of -3, -21, -51, -99, -171, -273, -411? -h**3 - 11*h + 9 What is the l'th term of -9352, -9348, -9342, -9334, -9324, -9312, -9298? l**2 + l - 9354 What is the n'th term of -22, -62, -136, -262, -458, -742, -1132, -1646? -3*n**3 + n**2 - 22*n + 2 What is the d'th term of -3905, -3907, -3919, -3947, -3997, -4075, -4187? -d**3 + d**2 + 2*d - 3907 What is the b'th term of -200, -399, -598, -797, -996? -199*b - 1 What is the s'th term of -552, -1077, -1602, -2127, -2652? -525*s - 27 What is the a'th term of 11, 20, 25, 26, 23, 16? -2*a**2 + 15*a - 2 What is the j'th term of 247, 241, 223, 187, 127? -j**3 + j + 247 What is the w'th term of -91, -172, -255, -340, -427, -516? -w**2 - 78*w - 12 What is the a'th term of 22, 77, 176, 325, 530, 797? a**3 + 16*a**2 + 5 What is the y'th term of -9, 8, 37, 78? 6*y**2 - y - 14 What is the i'th term of 602, 605, 608, 611? 3*i + 599 What is the j'th term of 296, 1179, 2652, 4715, 7368, 10611, 14444? 295*j**2 - 2*j + 3 What is the w'th term of 99, 45, -9, -63, -117, -171? -54*w + 153 What is the u'th term of 7776, 7779, 7782, 7785? 3*u + 7773 What is the k'th term of -540, -556, -584, -624? -6*k**2 + 2*k - 536 What is the z'th term of 254, 395, 534, 671, 806, 939, 1070? -z**2 + 144*z + 111 What is the k'th term of -28, -129, -306, -565, -912? -k**3 - 32*k**2 + 2*k + 3 What is the v'th term of -994, -993, -992, -991? v - 995 What is the a'th term of -36, -67, -98, -129, -160, -191? -31*a - 5 What is the z'th term of 2, 7, 12, 17? 5*z - 3 What is the k'th term of 62, 122, 182? 60*k + 2 What is the v'th term of 107, 105, 103, 101? -2*v + 109 What is the m'th term of -722, -700, -656, -584, -478? m**3 + 5*m**2 - 728 What is the i'th term of -329, -663, -999, -1337? -i**2 - 331*i + 3 What is the h'th term of 71, 69, 65, 59, 51? -h**2 + h + 71 What is the y'th term of 85, 84, 83, 82? -y + 86 What is the b'th term of 306, 611, 916, 1221, 1526? 305*b + 1 What is the b'th term of 674, 1333, 1990, 2645, 3298, 3949, 4598? -b**2 + 662*b + 13 What is the c'th term of -5, -24, -69, -152, -285, -480, -749? -2*c**3 - c**2 - 2*c What is the j'th term of -336, -674, -1026, -1398, -1796, -2226, -2694? -j**3 - j**2 - 328*j - 6 What is the z'th term of -245, -258, -271, -284, -297? -13*z - 232 What is the l'th term of -25, -114, -357, -832, -1617, -2790, -4429? -13*l**3 + l**2 - l - 12 What is the b'th term of 176, 356, 538, 722? b**2 + 177*b - 2 What is the x'th term of -410, -1607, -3596, -6371, -9926, -14255? x**3 - 402*x**2 + 2*x - 11 What is the f'th term of -19958, -19959, -19960? -f - 19957 What is the x'th term of -568, -1141, -1714, -2287? -573*x + 5 What is the y'th term of 11, 16, 33, 68, 127? y**3 - 2*y + 12 What is the i'th term of 317, 362, 383, 368, 305, 182, -13? -2*i**3 + 59*i + 260 What is the y'th term of 404, 414, 424, 434? 10*y + 394 What is the n'th term of -22, -25, -32, -43, -58, -77, -100? -2*n**2 + 3*n - 23 What is the t'th term of -236, -497, -762, -1031? -2*t**2 - 255*t + 21 What is the o'th term of -9, -3, 5, 15, 27? o**2 + 3*o - 13 What is the o'th term of -5, -24, -81, -194, -381? -3*o**3 - o**2 + 5*o - 6 What is the n'th term of -139, -549, -1231, -2185, -3411, -4909, -6679? -136*n**2 - 2*n - 1 What is the j'th term of -10, 3, 4, -13, -54, -125, -232? -j**3 + 20*j - 29 What is the q'th term of -46, -118, -218, -346, -502? -14*q**2 - 30*q - 2 What is the o'th term of -1231, -1227, -1221, -1213, -1203? o**2 + o - 1233 What is the v'th term of 382, 762, 1144, 1528? v**2 + 377*v + 4 What is the t'th term of 788, 780, 772, 764, 756, 748? -8*t + 796 What is the k'th term of -16, -29, -36, -37, -32? 3*k**2 - 22*k + 3 What is the j'th term of -4, 16, 42, 74, 112? 3*j**2 + 11*j - 18 What is the y'th term of -11, -10, -9? y - 12 What is the d'th term of 36, 67, 98, 129, 160? 31*d + 5 What is the d'th term of 119, 265, 413, 563, 715, 869? d**2 + 143*d - 25 What is the i'th term of 402, 393, 386, 381, 378? i**2 - 12*i + 413 What is the q'th term of 116, 117, 120, 125? q**2 - 2*q + 117 What is the a'th term of 18, 17, 14, 9, 2, -7? -a**2 + 2*a + 17 What is the t'th term of 236, 470, 694, 902, 1088, 1246, 1370, 1454? -t**3 + t**2 + 238*t - 2 What is the r'th term of -22, -177, -444, -829, -1338, -1977, -2752? -r**3 - 50*r**2 + 2*r + 27 What is the f'th term of 203, 202, 215, 248, 307, 398? f**3 + f**2 - 11*f + 212 What is the u'th term of 37, 54, 81, 118, 165, 222, 289? 5*u**2 + 2*u + 30 What is the a'th term of 205, 409, 613, 817, 1021? 204*a + 1 What is the s'th term of 93, 61, 11, -63, -167, -307, -489, -719? -s**3 - 3*s**2 - 16*s + 113 What is the n'th term of -24, -153, -494, -1155, -2244? -18*n**3 + 2*n**2 - 9*n + 1 What is the y'th term of -166, -207, -276, -379, -522? -y**3 - 8*y**2 - 10*y - 147 What is the f'th term of -53, -63, -73? -10*f - 43 What is the p'th term of 217, 239, 289, 379, 521, 727, 1009? 2*p**3 + 2*p**2 + 2*p + 211 What is the c'th term of 39, 72, 105? 33*c + 6 What is the z'th term of 11, 17, 23, 29, 35, 41? 6*z + 5 What is the i'th term of -24303, -48605, -72907? -24302*i - 1 What is the f'th term of -13, -12, -17, -34, -69, -128, -217? -f**3 + 3*f**2 - f - 14 What is the z'th term of 246, 494, 742, 990? 248*z - 2 What is the x'th term of 56, 89, 118, 143? -2*x**2 + 39*x + 19 What is the l'th term of -190, -194, -202, -214, -230, -250? -2*l**2 + 2*l - 190 What is the u'th term of 224, 323, 422, 521? 99*u + 125 What is the t'th term of -2189, -2187, -2183, -2177, -2169, -2159, -2147? t**2 - t - 2189 What is the r'th term of -7, -22, -37? -15*r + 8 What is the i'th term of 286, 291, 308, 343, 402, 491? i**3 - 2*i + 287 What is the f'th term of -13, 44, 133, 248, 383? -f**3 + 22*f**2 - 2*f - 32 What is the z'th term of -22, 0, 22, 44, 66, 88? 22*z - 44 What is the z'th term of 39, 40, 43, 48, 55? z**2 - 2*z + 40 What is the a'th term of -48, -78, -106, -132, -156, -178, -198? a**2 - 33*a - 16 What is the t'th term of -516, -1029, -1526, -2001, -2448? t**3 + 2*t**2 - 526*t + 7 What is the y'th term of -21, -23, -25? -2*y - 19 What is the c'th term of 626, 625, 624, 623, 622, 621? -c + 627 What is the f'th term of -61, -120, -177, -232? f**2 - 62*f What is the k'th term of 10, 28, 54, 82, 106, 120? -k**3 + 10*k**2 - 5*k + 6 What is the u'th term of 253, 255, 257, 259, 261? 2*u + 251 What is the o'th term of 752, 757, 762? 5*o + 747 What is the q'th term of 63, 59, 65, 81, 107? 5*q**2 - 19*q + 77 What is the f'th term of -495, -968, -1421, -1848, -2243, -2600, -2913? f**3 + 4*f**2 - 492*f - 8 What is the z'th term of -22825, -22832, -22843, -22858, -22877, -22900? -2*z**2 - z - 22822 What is the t'th term of -55, -211, -471, -835, -1303? -52*t**2 - 3 What is the y'th term of -19, -11, 27, 113, 265, 501, 839? 3*y**3 - 3*y**2 - 4*y - 15 What is the y'th term of -23, -49, -131, -299, -583, -1013, -1619, -2431? -5*y**3 + 2*y**2 + 3*y - 23 What is the l'th term of 32, 75, 118, 161, 204? 43*l - 11 What is the t'th term of -362, -358, -358, -368, -394, -442, -518? -t**3 + 4*t**2 - t - 364 What is the j'th term of 234, 227, 216, 201, 182, 159, 132? -2*j**2 - j + 237 What is the o'th term of 0, 2, 4, 6, 8, 10? 2*o - 2 What is the h'th term of 218, 274, 360, 470, 598? -h**3 + 21*h**2 + 198 What is the m'th term of 329, 330, 331, 332, 333, 334? m + 328 What is the h'th term of -8, -18, -28, -38, -48, -58? -10*h + 2 What is the c'th term of 28182, 28179, 28176, 28173, 28170? -3*c + 28185 What is the m'th term of 6, -6, -18, -30? -12*m + 18 What is the i'th term of 189, 376, 563, 750, 937, 1124? 187*i + 2 What is the c'th term of -72, -145, -208, -255, -280, -277? c**3 - c**2 - 77*c + 5 What is the i'th term of 13380, 13384, 13390, 13398, 13408, 13420, 13434? i**2 + i + 13378 What is the x'th term of -124, -253, -382, -511, -640? -129*x + 5 What is the l'th term of 19, 49, 105, 199, 343, 549, 829? 2*l**3 + l*
{ "pile_set_name": "DM Mathematics" }
m(t). -4*t**2 Let c(q) be the first derivative of 3*q**5/25 - 10. Factor c(k). 3*k**4/5 Solve -2/5*c**2 - 2/5*c**4 + 0*c + 0 - 4/5*c**3 = 0 for c. -1, 0 Suppose -2*z = -6*z + 8. Let -1 + 1 + 2*o**3 + z*o**2 = 0. What is o? -1, 0 Let g(q) be the first derivative of -2*q**5/55 + q**4/22 + 3. Solve g(d) = 0. 0, 1 Factor -3*r**2 - r + 21*r + 8*r**2 + 0*r**2. 5*r*(r + 4) Let f be 2 + ((-7 - -4) + 2)*0. Factor 1/6*r + 0 - 1/6*r**f. -r*(r - 1)/6 Find b, given that 1/2*b**4 - 3/2*b**2 - b**3 + 2*b + 2 = 0. -1, 2 Let l be (-1 + 6)*27/45. Let y(v) be the third derivative of 0 - 1/480*v**6 - 1/24*v**l + 1/240*v**5 - 2*v**2 + 1/96*v**4 + 0*v. Factor y(g). -(g - 1)**2*(g + 1)/4 Let c be (-3 + 2 + -1)*46/(-14). Solve 2*i**3 + 8/7 + c*i**2 + 40/7*i = 0. -2, -1, -2/7 Let n = -312 - -314. Factor -2*u**n - 1 + 5/2*u + 1/2*u**3. (u - 2)*(u - 1)**2/2 Let i(z) be the first derivative of z**4/8 - z**3/3 + z**2/4 - 9. Factor i(q). q*(q - 1)**2/2 Let m(i) = -i - 2. Let u be m(-4). Let -5*y**2 + 4*y**u - 2*y**3 + y**3 = 0. Calculate y. -1, 0 Let f(j) = j**2 + 13*j + 10. Let z be f(-11). Let o be 10/(-15) - 11/z. Factor 0 + 3/4*i**3 - 3/4*i**2 + 1/4*i - o*i**4. -i*(i - 1)**3/4 Suppose 4*l - 14 = -n + 2*n, -2 = n. Let r be (2 - -13)/l + -1. Solve 3*m**3 - r*m**2 - 6*m**5 + 4*m**4 + 5*m**3 - 2*m + 0*m**5 = 0 for m. -1, -1/3, 0, 1 Find c such that -32*c**2 + 3*c**3 + 75*c - 36 - 11*c**2 + c**2 = 0. 1, 12 Let h = 13 - -14. Let -h*j + 25*j - 1 - j**2 + 0*j**2 = 0. What is j? -1 Let p = -345 + 3109/9. Let l = 6 - 6. Find t, given that 2/9*t + l + 2/9*t**3 + p*t**2 = 0. -1, 0 Let s be (-12 - -13)*(-1 - 0). Let b = s + 3. Suppose -4/5*h**b - 2/5*h**3 - 2/5*h + 0 = 0. What is h? -1, 0 Let a(z) be the second derivative of -z**6/6 - 5*z**5/4 - 5*z**4/2 + 10*z**3/3 + 20*z**2 + 23*z. Factor a(c). -5*(c - 1)*(c + 2)**3 Let h be 3596/522 - 4/18. Factor -2/3*z**5 - 10/3*z**4 - 10/3*z - 20/3*z**2 - 2/3 - h*z**3. -2*(z + 1)**5/3 Let j(k) be the first derivative of -k**5/20 - k**4/12 + 2*k + 3. Let c(g) be the first derivative of j(g). Factor c(s). -s**2*(s + 1) Let k(f) be the second derivative of -f**5/25 + f**4/15 + 2*f**3/15 - 2*f**2/5 + 18*f. Factor k(r). -4*(r - 1)**2*(r + 1)/5 Let l(m) be the first derivative of -m**5/15 + m**4/6 + 4*m**3/9 - m**2/3 - m - 9. Factor l(v). -(v - 3)*(v - 1)*(v + 1)**2/3 Let y(j) be the first derivative of 0*j**2 + 3*j**4 + 0*j + 5 + 1/2*j**6 + 12/5*j**5 + 0*j**3. Factor y(x). 3*x**3*(x + 2)**2 Let v = 45 + -42. Factor -3/4*u**v + 0*u**2 + 0*u + 0. -3*u**3/4 Let w(q) be the first derivative of -q**6/2 - 3*q**5/5 + 15*q**4/4 + q**3 - 12*q**2 + 12*q + 10. Factor w(j). -3*(j - 1)**3*(j + 2)**2 Suppose 10 = -5*q - 3*g + 27, 10 = 3*q + 2*g. What is y in -q*y + 6*y - 4*y**2 + 2*y - 1 = 0? 1/2 Let s(l) be the third derivative of -l**6/40 - 11*l**5/20 + 25*l**4/8 - 13*l**3/2 - 34*l**2. Find f, given that s(f) = 0. -13, 1 Factor 1/5*q**3 + 0*q**2 + 1/5*q**4 + 0 + 0*q. q**3*(q + 1)/5 Suppose g - 14 = -g + v, -4*v + 40 = 4*g. Let b(q) = q - 6. Let k be b(g). Factor 0*z**k + 3*z - 9*z - 3*z**2. -3*z*(z + 2) Let x(v) = 2*v**2 + 2*v - 8. Let d(r) = 4*r**2 + 3*r - 15. Let b(z) = -4*d(z) + 7*x(z). Let b(l) = 0. What is l? -1, 2 Suppose 4*f**3 + f - 24*f**2 + 3*f + 64*f**5 + 52*f**4 + 44*f**4 = 0. What is f? -1, 0, 1/4 Let w(q) be the third derivative of q**5/90 - q**3/9 - 40*q**2. Find n, given that w(n) = 0. -1, 1 Let x(f) be the third derivative of f**5/80 - f**4/16 + f**3/8 + 34*f**2. Let x(j) = 0. What is j? 1 Let f(x) be the first derivative of 4*x - 9*x**2 + 20/3*x**3 - 24/5*x**5 + 2 + 2*x**4 + 5/3*x**6. Factor f(t). 2*(t - 1)**3*(t + 1)*(5*t - 2) Let y(d) be the third derivative of 2*d**7/105 + d**6/15 - d**5/15 - d**4/3 + 6*d**2. Factor y(s). 4*s*(s - 1)*(s + 1)*(s + 2) Determine a, given that 0*a - 4/5*a**2 + 4/5 = 0. -1, 1 Suppose 7*t - 49*t + 210 = 0. Factor -2/3*q**4 - 4/9*q**3 - 2/9*q**t + 4/9*q**2 + 2/3*q + 2/9. -2*(q - 1)*(q + 1)**4/9 Let l(q) be the third derivative of -27*q**7/70 + 27*q**6/40 + 9*q**5/10 - 7*q**4/2 + 4*q**3 - 10*q**2 + 2. Factor l(c). -3*(c + 1)*(3*c - 2)**3 Let o(m) be the third derivative of -m**7/420 + m**6/60 - m**5/20 + m**4/12 - m**3/12 - m**2. Find v such that o(v) = 0. 1 Let i be -3 + (4 - (-1 - -2)). Suppose -5*n = -2*n. Factor -2/7*t**5 + i + 2/7*t**2 + 2/7*t**3 - 2/7*t**4 + n*t. -2*t**2*(t - 1)*(t + 1)**2/7 Let -2/13*y**5 - 2/13*y + 4/13*y**3 + 0*y**2 + 0 + 0*y**4 = 0. Calculate y. -1, 0, 1 Let j = 139/15 - 28/3. Let m = j - -2/5. Suppose m*h + h**3 + h**2 + 1/3*h**4 + 0 = 0. What is h? -1, 0 Let s(m) = m - 8. Let p be s(11). Factor -3*j**2 - 2*j**2 + 2 + 4*j**3 + p*j**2 + j - 5*j**3. -(j - 1)*(j + 1)*(j + 2) Suppose -43*x + 47*x = 12. Let f(v) be the second derivative of 0*v**2 + 2/63*v**7 + 13/90*v**6 + 1/18*v**x + 1/4*v**5 + 0 - 2*v + 7/36*v**4. Factor f(a). a*(a + 1)**3*(4*a + 1)/3 Let d(q) be the second derivative of -5*q**7/42 - q**6/2 + 4*q. Find l such that d(l) = 0. -3, 0 Let z(j) be the third derivative of -j**7/1995 - j**6/190 - 2*j**5/285 + j**4/38 + 5*j**3/57 + 61*j**2. Suppose z(s) = 0. Calculate s. -5, -1, 1 Let n(v) be the first derivative of -2*v**6/3 + 2*v**4 - 2*v**2 + 5. Factor n(f). -4*f*(f - 1)**2*(f + 1)**2 Let j(t) be the first derivative of -t**6/3 + 3*t**5/10 + 2*t**4 + 4*t**3/3 - 3*t - 2. Let z(i) be the first derivative of j(i). Factor z(q). -2*q*(q - 2)*(q + 1)*(5*q + 2) Let o(s) = 16*s - 48. Let z be o(3). Find p, given that 0*p - 2/3*p**3 + z + 2/3*p**4 - 4/3*p**2 = 0. -1, 0, 2 Let d be -1 + -1 - (-9 + 3). Let q(p) be the third derivative of 0 + 3*p**2 + 0*p**d + 0*p - 1/60*p**5 + 1/6*p**3. Find l, given that q(l) = 0. -1, 1 Let t(z) = 6*z**2 + 12*z - 18. Let h(p) = p**2 - 1. Let w(o) = 3*h(o) - t(o). Factor w(j). -3*(j - 1)*(j + 5) Let l be -1*((-50)/15 + 3). Let n(i) be the third derivative of l*i**3 + 0 - 2*i**2 - 1/60*i**5 + 0*i - 1/24*i**4. Factor n(h). -(h - 1)*(h + 2) Let v(f) be the third derivative of f**7/420 - f**6/80 + f**5/40 - f**4/48 - 19*f**2. Determine s, given that v(s) = 0. 0, 1 Let x be 6/(-4) - 147/(-42). Find l such that 2/5*l - 1/5*l**x - 1/5 = 0. 1 Let v(o) = -3*o**2 + 39*o + 27. Let x(k) = -k**2 + 19*k + 14. Let g(c) = -4*v(c) + 9*x(c). Factor g(y). 3*(y + 2)*(y + 3) Let q(x) be the second derivative of -2*x + 0 - 1/180*x**6 + 0*x**5 + 1/72*x**4 + 0*x**2 + 0*x**3. Find w such that q(w) = 0. -1, 0, 1 Determine l so that -1/4*l**2 + 0 - 1/4*l = 0. -1, 0 Let f be (-25)/(-405)*(-6)/(-20). Let k(v) be the second derivative of -2*v + 2/27*v**3 + 0 - f*v**4 - 1/9*v**2. Factor k(a). -2*(a - 1)**2/9 Suppose 2*f - 8 = -2*t - 2*f, -t + 4*f = 8. What is x in 1/5*x**4 + t*x + 0 + 0*x**2 - 1/5*x**3 = 0? 0, 1 Suppose 2*w - 8 = h, -5*h = -5*w - 7*h + 2. What is q in 2/3*q - 1/3 - 1/3*q**w = 0? 1 Let i(o) be the third derivative of 11*o**5/60 + 13*o**4/24 + o**3/3 - 2*o**2. Factor i(a). (a + 1)*(11*a + 2) Let w(t) = -29*t**4 - 20*t**3 + 31*t**2 - 9*t + 9. Let l(y) = -7*y**4 - 5*y**3 + 8*y**2 - 2*y + 2. Let b(r) = 9*l(r) - 2*w(r). Suppose b(d) = 0. What is d? -2, 0, 1 Let p be ((-1)/(-20))/(6/4). Let y(i) be the second derivative of -i + 0*i**3 - p*i**4 + 1/5*i**2 + 0. Let y(o) = 0. What is o? -1, 1 Let l(j) be the third derivative of 11/72*j**6 + 1/18*j**4 + 0 + 2*j**2 + 0*j**3 + 13/90*j**5 + 0*j + 5/84*j**7. Factor l(b). b*(3*b + 2)*(5*b + 2)**2/6 Suppose o + 4*a - 18 = 0, 2*o - 3*o - 2*a = -14. Suppose -11*x + 4*x**5 - 12*x**4 + 3*x + 4*x**3 + 2*x**2 + 0*x**3 + o*x**2 = 0. What is x? -1, 0, 1, 2 Suppose -4*d = -7 - 5. Let u(j) be the third derivative of 0*j**6 + 1/15*j**5 - 1/105*j**7 + 0*j + 0 - 2*j**2 - 1/3*j**d + 0*j**4. Factor u(q). -2*(q - 1)**2*(q + 1)**2 Let x(l) be the third derivative of 0*l + 0 - 1/945*l**7 + 1/90*l**5 + 0*l**3 + 0*l**4 + 6*l**2 - 1/270*l**6. What is c in x(c) = 0? -3, 0, 1 Let u be 3/2*(-44)/66 - -1. Let 0 + 4/5*o**2 - 8/5*o**4 - 6/5*o**5 + 2/5*o**3 + u*o = 0. What is o? -1, 0, 2/3 Let u be ((-16)/(-20))/((-42)/(-15)). Suppose 5 - 13 = -4*d. Factor 2/7 + u*w**d - 4/7*w. 2*(w - 1)**2/7 Let h(r) be the second derivative of 2*r**6/15 + r**5 + 3*r**4 + 14*r**3/3 + 4*r**2 + 28*r. Solve h(v) = 0. -2, -1 Let j be 12/(-4) - (-57)/18. Let b be (4/12 + 0)*9. Determine k, given that -1/3*k**4 - 1/6*k**b + j*k**5 + 0*k + 1/3*k**2 + 0 = 0. -1, 0, 1, 2 Let r be -2
{ "pile_set_name": "DM Mathematics" }
+ w - 56476. Determine f*s(d) + 3*j(d). -4*d - 2 Let u(p) = -69*p**2 - 172*p + 12. Let k(x) = 67*x**2 + 170*x - 8. What is 3*k(s) + 2*u(s)? 63*s**2 + 166*s Let c(b) = -b**2 - 2. Let w(h) = 3*h**2 + 392*h + 11. Calculate 5*c(k) + w(k). -2*k**2 + 392*k + 1 Let s(t) = 42*t - 9. Suppose 28*o + 17*o + 308 = o. Let n(f) = -21*f + 5. Calculate o*n(p) - 4*s(p). -21*p + 1 Let j(h) be the second derivative of 35*h**4/4 + 9*h**3/2 - 47*h. Let u(f) = -15*f**2 - 4*f. Calculate 4*j(g) + 27*u(g). 15*g**2 Let p(n) = 2*n**2 - 13*n. Let a = 4378 - 4384. Let k(w) = -4*w**2 + 26*w. Give a*k(x) - 13*p(x). -2*x**2 + 13*x Let v(i) = 1285*i - 3. Let q(l) = -24430*l + 56. Give -3*q(s) - 56*v(s). 1330*s Suppose -35*x + 19*x = -32. Let n(o) = 126*o**3 - 2 - 265*o**3 + 2*o**2 + 132*o**3 + 2*o. Let h(v) = 14*v**3 - 5*v**2 - 5*v + 5. What is x*h(m) + 5*n(m)? -7*m**3 Let o(y) = -9*y**3 + 166*y**2 - 2*y + 4. Let z(f) = -11*f**2 - 1. Calculate -o(g) - 4*z(g). 9*g**3 - 122*g**2 + 2*g Suppose -12*o - 1302 = -8*o - 2*h, 650 = -2*o + 2*h. Let a = o + 319. Let l(y) = -10*y**2 + 6. Let x(r) = 10*r**2 - 7. Give a*l(c) - 6*x(c). 10*c**2 Let p(s) = -s**2 - 225*s - 45. Let h(u) = u**2 + 227*u + 38. Calculate 6*h(z) + 5*p(z). z**2 + 237*z + 3 Let s(l) = -2*l + 1. Let y(b) = 12*b + 5682. Give 5*s(i) + y(i). 2*i + 5687 Let o(w) = 326*w + 38. Let v(g) = 937*g + 113. What is 11*o(s) - 4*v(s)? -162*s - 34 Let y(q) = 0*q - 11 + 24 - 2*q - 21. Let w(f) = -1. What is 4*w(k) - y(k)? 2*k + 4 Let u(d) be the first derivative of d**4/4 + d + 7265. Let a(l) = 13*l**3 + l + 1. What is a(j) - u(j)? 12*j**3 + j Let d(n) = 23*n - 95. Let u(o) = -6*o + 22. Let m(t) = 2*d(t) + 9*u(t). Let r(x) = -7*x + 7. Determine -5*m(g) + 6*r(g). -2*g + 2 Let o(s) be the second derivative of -2*s**4 + s**3/2 - 5*s**2/2 + 2*s + 918. Let q(m) = 24*m**2 - 2*m + 4. Give 3*o(r) + 4*q(r). 24*r**2 + r + 1 Let k(n) = -6*n. Suppose 8*l - 100 + 76 = 0. Let b(a) be the third derivative of 7*a**4/24 - 160*a**2 + 3*a. Determine l*b(g) + 2*k(g). 9*g Let d(g) = -g**2 + 2*g + 7. Let n be (-1)/5*-5 - (-3 - -1). Let l be d(n). Let f(z) = z**2 - 1. Suppose 0 = 2*j + 6 + 2. Let v(p) = -1. What is j*v(a) + l*f(a)? 4*a**2 Let m(b) = -3*b**3 + 7*b - 7. Let u be (-1)/((-74)/(-38) - 2) - 4. Suppose -10*s = u + 25. Let i(f) = 2*f**3 - 4*f + 3. Calculate s*m(a) - 7*i(a). -2*a**3 + 7 Let k(m) = 6*m + 56. Let i(g) = 3*g + 34. Determine 5*i(n) - 2*k(n). 3*n + 58 Let w(x) = 278 - 879 + 806*x + 276 + 247. Let h(i) = -52*i + 5. Determine -78*h(l) - 5*w(l). 26*l Let l be 138/6 + (-1 - 1). Suppose -3*k + 6 = l. Let p(n) be the second derivative of -n**3/3 + 3*n**2 + 6*n - 1. Let g(t) = 2*t - 7. Give k*p(x) - 4*g(x). 2*x - 2 Suppose 0 = -45*z - 682 - 838 + 305. Let w(f) = -21*f**2 - 27*f - 27. Let y(v) = 3*v**2 + 4*v + 4. What is z*y(j) - 4*w(j)? 3*j**2 Let h(g) be the third derivative of 7*g**5/120 - 12*g**3 - 99*g**2. Let p(v) be the first derivative of h(v). Let a(j) = 2*j. What is 14*a(k) - 5*p(k)? -7*k Suppose 4 = s - 3. Let n(y) be the first derivative of 3*y**2/2 + 4*y - 7257. Let u(g) = -6*g - 7. Calculate s*n(m) + 4*u(m). -3*m Let x(b) = b**2 + 1. Let y(d) = 3*d**2 - 2*d + 7. Let t(a) = -4*a**2 + 16*a + 1. Let k be t(4). Let i = 169 - 174. Give i*x(o) + k*y(o). -2*o**2 - 2*o + 2 Let u(r) = -9*r**3 - 6*r - 7. Let t(b) = -b**3 - b**2. Let o(m) = -m**2 + m + 1. Let g(k) = o(k) - t(k). What is -5*g(i) - u(i)? 4*i**3 + i + 2 Let l(o) = o**3 - o. Let c(k) be the third derivative of k**6/60 - k**4/8 + k**3/6 + k**2. Suppose -603*q + 1129*q - 54 = 580*q. Determine q*c(s) + l(s). -s**3 + 2*s - 1 Let h(k) = -k**3 - 179*k**2 - 17*k + 40. Let g(c) = c**3 + 128*c**2 + 12*c - 28. What is 17*g(w) + 12*h(w)? 5*w**3 + 28*w**2 + 4 Let o(i) = -5*i**2 + 27*i - 3. Let q(h) be the third derivative of -7*h**5/30 + 10*h**4/3 - 4*h**3/3 - 1060*h**2. Determine -8*o(t) + 3*q(t). -2*t**2 + 24*t Let w(t) = -2*t**2 + 14. Let s(b) = b**2 - 5. Let o(r) = 465*r + 4. Let d be o(0). What is d*w(f) + 11*s(f)? 3*f**2 + 1 Let z = 6316 - 6311. Let s(k) = -40*k**3 + 12*k**2 + 22*k. Let g(x) = -16*x**3 + 5*x**2 + 9*x. Give z*s(u) - 12*g(u). -8*u**3 + 2*u Let r(v) be the second derivative of 7*v**4/12 + v**3/6 + v**2 + 1768*v. Let g(t) = -36*t**2 - 5*t - 11. Determine 2*g(u) + 11*r(u). 5*u**2 + u Let m(a) = -12*a + 12. Let s(r) = -r - 17 + 3*r - 6*r + 23 - 2. What is -5*m(o) + 14*s(o)? 4*o - 4 Let h(m) = -m + 6. Let v(k) = -154. Let l(i) = -929. Let j(x) = l(x) - 6*v(x). Determine 3*h(g) + 4*j(g). -3*g - 2 Let k(p) = p + 3. Suppose -23 + 28 = a. Suppose -a*r + 142 = 117. Let v(f) = 2*f + 5. Give r*k(j) - 3*v(j). -j Let t(s) = 15*s**3 - 3*s. Let m(d) = -4*d**3 - 5*d**2 - d + 35. Let v(g) = 5*g**3 + 6*g**2 + g - 42. Let b(p) = 6*m(p) + 5*v(p). What is 6*b(n) - 2*t(n)? -24*n**3 Suppose -4 = x - 0*x. Let m(z) = 4*z. Let a(u) be the first derivative of -u**2 - 175. Calculate x*a(t) - 3*m(t). -4*t Let l(x) = -x**3 + x + 1. Suppose 0*g - 4 = 4*g. Let k(v) = -11*v + 6*v**3 - 12*v + 14 - 19*v + 34*v - 16. What is g*k(f) - 4*l(f)? -2*f**3 + 4*f - 2 Let d be 9*(2/10 + 134/1005). Let o(j) = -22*j**3 - 3*j**2 - 3*j. Let y(q) = -155*q**3 - 20*q**2 - 20*q. What is d*y(v) - 20*o(v)? -25*v**3 Let l(n) = -2*n**3 - 6*n**2 + 11*n - 1. Let m(y) = -2*y**3 - y**2. Determine -l(v) + 6*m(v). -10*v**3 - 11*v + 1 Let g(v) = 11*v**2 + 701*v - 42. Let z(k) = -3*k**2 - 175*k + 11. Determine 6*g(f) + 23*z(f). -3*f**2 + 181*f + 1 Let c(b) = 5*b**2 - 4*b - 3. Let y be (15/10)/((22/55)/(4/5)). Let a(j) = -5*j**2 + 3*j + 2. Calculate y*a(d) + 2*c(d). -5*d**2 + d Let r(f) be the third derivative of -f**9/30240 - f**5/20 - 4*f**2 + f. Let y(t) be the third derivative of r(t). Let x(p) = -4*p**3. What is 3*x(d) - 5*y(d)? -2*d**3 Let m(q) = -4. Let i(j) = 11 + 13 + 8 - 23 + j. What is -3*i(k) - 7*m(k)? -3*k + 1 Let g(u) = 48*u**2 + 2*u - 432. Let o(n) = -14*n**2 - n + 144. Determine -2*g(j) - 7*o(j). 2*j**2 + 3*j - 144 Let t(f) = -f + 33. Let q(u) = -577*u - 38. Calculate q(p) + t(p). -578*p - 5 Let o(v) = 7*v - 2. Let m(h) = -2525*h + 9. Give m(b) + 4*o(b). -2497*b + 1 Let g(q) = 4374*q + 37. Let m(x) = -8754*x - 80. Calculate 13*g(c) + 6*m(c). 4338*c + 1 Let d(j) = 24*j + 2974. Let z(v) = 11*v + 1496. Calculate 6*d(k) - 13*z(k). k - 1604 Let f(h) = -110 + 7*h**2 + 70 + 34 + 25*h**2 + 6*h. Let s(a) = -767*a**2 - 143*a + 143. Calculate 143*f(d) + 6*s(d). -26*d**2 Suppose 4 = 4*b - 4*m, 155*b - 157*b = 4*m - 14. Let s(c) = -1. Let j(d) = -27*d + 3. What is b*s(w) + j(w)? -27*w Let o(h) = 44*h**2 - 315*h + 12. Let z(u) = 38*u**2 - 315*u + 10. Give 6*o(s) - 7*z(s). -2*s**2 + 315*s + 2 Let r = -5540 + 5541. Let l(f) = 6*f - 3. Let a(i) = i + 1. Determine r*l(z) + 2*a(z). 8*z - 1 Let i(h) be the second derivative of -h**4/12 + 3658*h. Let r(v) = -2*v**3 + 16*v**2 + 2. Calculate 4*i(o) + r(o). -2*o**3 + 12*o**2 + 2 Let u(d) = 2*d**2 - 16*d. Let t(z) = 10*z**2 - 81*z - 5. Let r(b) = t(b) - 6*u(b). Let m(c) = -8*c + 0*c + c**2 + 3 + 0. Give 5*m(p) + 3*r(p). -p**2 + 5*p Let q(b) = -239*b**2 - 17*b + 15. Let x(g) = -477*g**2 - 30*g + 27. What is 9*q(f) - 5*x(f)? 234*f**2 - 3*f Let q(s) = s**2 + 71*s - 1189. Let b be q(14). Let r(o) = -o. Let u(g) = -2*g - 4. Let t(h) = 3*h + 6. Let c(l) = -5*t(l) - 8*u(l). What is b*c(f) - 2*r(f)? 3*f + 2 Let b be -4*195/60 + 8. Let g(m) = 31*m**2 - 5. Let d(h) = -30*h**2 + 4. Determine b*d(j) - 4*g(j). 26*j**2 Let l(v) = 62986*v - 29448. Let o(d) = -8*d + 4. Determine -4*l(f) - 29448*o(f). -16360*f Let v(b) = 1769*b**2 - 20*b + 20. Let t(y) = -884*y**2 + 11*y - 12. What is 5*t(d) + 3*v(d)? 887*d**2 - 5*d Let w(u) = u**3 + u**2 + u - 1. Let v(n) = -2*n**2 - 5*n + 1. Let y(p) = p**3 + 19*p**2 + 52*p + 614. Let b be y(-18). Calculate b*w(x) + v(x). 2*x**3 - 3*x - 1 Let k(o) = o**2. Let f(y) = -y**3 - y**2 + y. Suppose 0 = 8140*j - 8187*j - 47. Calculate j*f(z) - 2*k(z). z**3 - z**2 - z Let g(b) = 2629*b + 2 - 16*b**2 - 2632*b + 1 - b**3 - 4*b**3 + 4*b**3. Let q(a) = a**3 + 16*a**2 + 2*a - 2. Calculate 2*g(m) + 3*q(m). m**3 + 16*m**2 Let j(h) = -3*h**2 + 15*h + 15. Suppose -950 = 37*z - 504 - 2111. Let g(n) = n + 3 - 3 + 1. Give z*g(v) - 3*j(v). 9*v**2 Suppose 5*k = -o + 27 - 48, o = 2*k + 14. Let b(y) = -y**3 - y**2 + y. Let r(p) = 7*p**3 + 6*p**2 - 5*p - 11. Give k*b(h) - r(h). -2*h**3 - h**2 + 11
{ "pile_set_name": "DM Mathematics" }
ment from peeeffehpt? 1/180 Four letters picked without replacement from {t: 13, h: 3}. What is prob of sequence httt? 33/280 What is prob of sequence veg when three letters picked without replacement from veeegegge? 5/168 What is prob of sequence jqj when three letters picked without replacement from jqfqjjjqfjqj? 1/11 Three letters picked without replacement from iogeg. What is prob of sequence igg? 1/30 Two letters picked without replacement from {v: 1, h: 1, d: 2}. Give prob of sequence vd. 1/6 Three letters picked without replacement from {w: 1, k: 2, q: 6, l: 3, b: 1}. What is prob of sequence bqw? 1/286 What is prob of sequence nw when two letters picked without replacement from nnwn? 1/4 Three letters picked without replacement from vzkgvkzzzzgzzzvk. Give prob of sequence zgk. 1/70 Calculate prob of sequence eye when three letters picked without replacement from {j: 3, y: 10, u: 1, e: 1}. 0 Two letters picked without replacement from llllollllolllollloo. Give prob of sequence ll. 91/171 Two letters picked without replacement from {r: 4, c: 1, s: 2}. Give prob of sequence rs. 4/21 Two letters picked without replacement from rftgtfrgbbrtb. What is prob of sequence gr? 1/26 Two letters picked without replacement from {o: 11, j: 5}. What is prob of sequence oj? 11/48 Three letters picked without replacement from {r: 1, u: 7, v: 11}. What is prob of sequence vvv? 55/323 Two letters picked without replacement from hggihwrggighgi. Give prob of sequence wi. 3/182 What is prob of sequence ayb when three letters picked without replacement from bebhhhbbeetabyhhehhy? 1/684 Two letters picked without replacement from aaaadaaaaaaaaaaaaad. Give prob of sequence dd. 1/171 What is prob of sequence azk when three letters picked without replacement from {a: 4, k: 4, z: 6}? 4/91 What is prob of sequence qaq when three letters picked without replacement from {q: 7, u: 1, a: 1}? 1/12 Four letters picked without replacement from dabadm. Give prob of sequence ddab. 1/90 Calculate prob of sequence tt when two letters picked without replacement from ttttttttt. 1 What is prob of sequence jy when two letters picked without replacement from iyjyxyb? 1/14 What is prob of sequence jtga when four letters picked without replacement from jrattrrrrtfrfgrtgtt? 1/7752 What is prob of sequence so when two letters picked without replacement from ysyosysyosssyysyyo? 7/102 Calculate prob of sequence mwzz when four letters picked without replacement from rwzmzks. 1/420 Four letters picked without replacement from ntnntntnnnnn. What is prob of sequence nnnn? 14/55 Two letters picked without replacement from {e: 2, l: 3, m: 3, d: 1, x: 1}. What is prob of sequence de? 1/45 Three letters picked without replacement from {r: 1, c: 6, q: 4, z: 7, k: 2}. Give prob of sequence qzr. 7/1710 Calculate prob of sequence dd when two letters picked without replacement from {a: 1, s: 2, b: 4, d: 7, x: 4}. 7/51 Two letters picked without replacement from {w: 6, a: 2}. What is prob of sequence aw? 3/14 What is prob of sequence uj when two letters picked without replacement from {u: 1, q: 2, j: 2, l: 7}? 1/66 What is prob of sequence mxo when three letters picked without replacement from xxom? 1/12 Four letters picked without replacement from aaaqqaaq. What is prob of sequence aqqq? 1/56 Four letters picked without replacement from qqqeqeqqqeqqqqqeqq. Give prob of sequence qqqe. 91/765 Two letters picked without replacement from {d: 5, o: 11}. Give prob of sequence oo. 11/24 Calculate prob of sequence cc when two letters picked without replacement from {c: 9, r: 7}. 3/10 Two letters picked without replacement from zkixi. What is prob of sequence zi? 1/10 What is prob of sequence wwyy when four letters picked without replacement from {j: 1, y: 9, f: 2, w: 2}? 6/1001 What is prob of sequence plpg when four letters picked without replacement from egyelepegpep? 1/990 Calculate prob of sequence jr when two letters picked without replacement from rrjrrjr. 5/21 Calculate prob of sequence mb when two letters picked without replacement from {m: 5, b: 1, j: 3}. 5/72 What is prob of sequence sjrm when four letters picked without replacement from rjmsrmrsjrjrsmrjrsrr? 6/1615 What is prob of sequence ss when two letters picked without replacement from xxsxxxxvsvxxxsx? 1/35 Four letters picked without replacement from {x: 1, h: 3}. Give prob of sequence xhxh. 0 Two letters picked without replacement from ttatatttaaaattaataa. Give prob of sequence ta. 5/19 What is prob of sequence xkx when three letters picked without replacement from kxxkkxkxxxxkk? 21/143 What is prob of sequence ew when two letters picked without replacement from bwwgeewwwebeebg? 5/42 Four letters picked without replacement from {v: 2, u: 2, c: 4, x: 5}. What is prob of sequence vxuv? 1/858 Two letters picked without replacement from {u: 3, j: 5, a: 3}. What is prob of sequence jj? 2/11 Two letters picked without replacement from fewcfzwefzzbzzzzw. What is prob of sequence ec? 1/136 What is prob of sequence yqq when three letters picked without replacement from yyyyyyyyqyyyq? 1/78 Three letters picked without replacement from {s: 3, u: 2}. Give prob of sequence sss. 1/10 Two letters picked without replacement from {e: 2, s: 4, w: 1, y: 4, i: 3, g: 3}. What is prob of sequence gs? 3/68 Calculate prob of sequence uh when two letters picked without replacement from hpup. 1/12 Two letters picked without replacement from {f: 6, h: 6}. Give prob of sequence hh. 5/22 What is prob of sequence yp when two letters picked without replacement from syqypyyypyyqqsyy? 3/40 Two letters picked without replacement from {c: 5, a: 3}. What is prob of sequence cc? 5/14 Three letters picked without replacement from ppuppppppu. Give prob of sequence upp. 7/45 What is prob of sequence ww when two letters picked without replacement from bwbdwqbbdqqdb? 1/78 What is prob of sequence iu when two letters picked without replacement from uiuuuuuuuiuu? 5/33 Three letters picked without replacement from trkrrokktookrkkq. What is prob of sequence ooq? 1/560 Two letters picked without replacement from rrtbrktrrkkrt. What is prob of sequence bt? 1/52 What is prob of sequence arhd when four letters picked without replacement from {e: 3, h: 1, a: 6, d: 2, r: 1}? 1/1430 What is prob of sequence xn when two letters picked without replacement from {s: 4, x: 2, n: 1, y: 2}? 1/36 Four letters picked without replacement from {l: 1, s: 1, q: 1, c: 2, e: 2}. What is prob of sequence eqsc? 1/210 What is prob of sequence goo when three letters picked without replacement from tiffvfvofgfotg? 1/546 Four letters picked without replacement from rgrrorrwrrrroroog. What is prob of sequence rooo? 1/238 What is prob of sequence yg when two letters picked without replacement from {g: 1, y: 2}? 1/3 Four letters picked without replacement from {l: 2, v: 1, m: 1, e: 1, k: 2, x: 1}. Give prob of sequence vlxe. 1/840 Four letters picked without replacement from {q: 1, r: 2, l: 3, f: 1}. Give prob of sequence lrrl. 1/70 Calculate prob of sequence xrxu when four letters picked without replacement from {x: 7, r: 2, u: 6, y: 3, n: 1}. 7/1292 Calculate prob of sequence kkkk when four letters picked without replacement from {d: 11, k: 5}. 1/364 Calculate prob of sequence gzg when three letters picked without replacement from {y: 3, p: 2, z: 1, q: 3, g: 2, i: 3}. 1/1092 Calculate prob of sequence vi when two letters picked without replacement from {y: 2, v: 1, i: 1, l: 1, s: 2, a: 1}. 1/56 What is prob of sequence yvvs when four letters picked without replacement from ykysyvtvtvyxy? 1/572 What is prob of sequence ttf when three letters picked without replacement from ftfttttttt? 7/45 Calculate prob of sequence nsn when three letters picked without replacement from {s: 2, n: 9, y: 3, j: 3}. 3/85 Two letters picked without replacement from mmumumuumuumummuumum. Give prob of sequence mu. 5/19 Calculate prob of sequence ioi when three letters picked without replacement from {o: 2, b: 4, w: 3, s: 6, i: 3, a: 1}. 2/969 Calculate prob of sequence mch when three letters picked without replacement from cccmccmmcccmmhmcmmcc. 11/855 Two letters picked without replacement from {d: 1, s: 1, y: 2, g: 2, k: 1, q: 1}. G
{ "pile_set_name": "DM Mathematics" }
What is x in -5*x**4/4 - 995*x**3/4 - 495*x**2/2 = 0? -198, -1, 0 Factor 2*g**3/7 - 10*g**2/7 - 8*g/7 + 40/7. 2*(g - 5)*(g - 2)*(g + 2)/7 Factor 3*b**4 - 21*b**3 - 30*b**2 + 48*b. 3*b*(b - 8)*(b - 1)*(b + 2) Factor 4*s**2 - 36*s. 4*s*(s - 9) Determine x, given that -2*x**4/3 - 140*x**3/3 + 286*x**2/3 - 48*x = 0. -72, 0, 1 Factor -2*q**2/11 - 2*q/11. -2*q*(q + 1)/11 Let b**4 - 27*b**3 + 63*b**2 + 211*b + 120 = 0. What is b? -1, 5, 24 Find t such that 4*t**3/5 - 44*t**2/5 + 32*t - 192/5 = 0. 3, 4 What is n in -4*n**3 + 8*n**2 + 36*n - 72 = 0? -3, 2, 3 Solve -t**5 + 17*t**4 + 19*t**3 - 17*t**2 - 18*t = 0. -1, 0, 1, 18 Factor 2*n**4 + 24*n**3 + 46*n**2 - 72*n. 2*n*(n - 1)*(n + 4)*(n + 9) Determine u, given that u**3/6 - 1367*u**2/6 + 2731*u/6 - 455/2 = 0. 1, 1365 Find t such that -4*t**4/7 - 100*t**3/7 + 100*t**2 - 1340*t/7 + 744/7 = 0. -31, 1, 2, 3 Find p such that p**2/4 + 265*p/4 = 0. -265, 0 Factor 2*l**3/11 + 18*l**2/11 + 48*l/11 + 40/11. 2*(l + 2)**2*(l + 5)/11 Factor -3*y**3 - 36*y**2 - 105*y. -3*y*(y + 5)*(y + 7) Factor -4*m**4 + 4*m**3 + 52*m**2 - 100*m + 48. -4*(m - 3)*(m - 1)**2*(m + 4) Factor -9*t**3/2 + 2559*t**2/2 - 426*t. -3*t*(t - 284)*(3*t - 1)/2 Determine v so that 2*v**3/7 + 2*v**2/7 - 10*v/7 + 6/7 = 0. -3, 1 Factor 5*g**2 - 165*g + 450. 5*(g - 30)*(g - 3) Let -p**5 - 15*p**4 - 37*p**3 - 9*p**2 + 38*p + 24 = 0. What is p? -12, -2, -1, 1 Factor 2*y**5/9 - 34*y**4/9 + 14*y**3 + 18*y**2. 2*y**2*(y - 9)**2*(y + 1)/9 Find x, given that -16*x**5 + 4*x**4 + 64*x**3 - 16*x**2 = 0. -2, 0, 1/4, 2 Suppose -4*h**5/3 - 26*h**4/3 - 32*h**3/3 - 10*h**2/3 = 0. What is h? -5, -1, -1/2, 0 What is i in -72*i**4/7 - 408*i**3/7 + 646*i**2/7 - 180*i/7 + 2 = 0? -7, 1/6, 1 Factor -3*f**3/2 - 174*f**2 + 2250*f - 6912. -3*(f - 6)**2*(f + 128)/2 Solve 2*d**3/19 - 42*d**2/19 - 44*d/19 = 0. -1, 0, 22 Factor -16*j**2/5 - 22*j/5 - 6/5. -2*(j + 1)*(8*j + 3)/5 Suppose -3*c**5/2 - 21*c**4/2 - 27*c**3/2 + 21*c**2/2 + 15*c = 0. What is c? -5, -2, -1, 0, 1 Let -2*q**3/9 - 8*q**2/9 - 2*q/3 = 0. What is q? -3, -1, 0 Find w such that 2*w**3 - 716*w**2/5 + 422*w/5 + 284/5 = 0. -2/5, 1, 71 Let 315*n**5 - 615*n**4 + 395*n**3 - 105*n**2 + 10*n = 0. Calculate n. 0, 2/7, 1/3, 1 Determine o, given that 5*o**5 - 5*o**4 - 20*o**3 + 20*o**2 = 0. -2, 0, 1, 2 Factor -2*i**5/5 + 22*i**4/5 - 84*i**3/5 + 136*i**2/5 - 16*i. -2*i*(i - 5)*(i - 2)**3/5 Factor -3*j**5/2 - 507*j**4/2 - 11085*j**3 - 31749*j**2 - 62499*j/2 - 20667/2. -3*(j + 1)**3*(j + 83)**2/2 Solve -4*t**4 + 13*t**3 + 37*t**2 - 10*t = 0 for t. -2, 0, 1/4, 5 Suppose s**2/4 - 29*s/4 = 0. What is s? 0, 29 Suppose 5*d**2 - 55*d + 90 = 0. Calculate d. 2, 9 Find j, given that -5*j**5 + 365*j**4 - 6840*j**3 + 6480*j**2 = 0. 0, 1, 36 Let 2*z**3/9 - 10*z**2/3 - 12*z = 0. Calculate z. -3, 0, 18 What is r in 2*r**2/11 + 26*r/11 = 0? -13, 0 Let 5*y**2 + 120*y + 115 = 0. What is y? -23, -1 Factor -t**4/3 + 55*t**3/3 - 187*t**2 + 1985*t/3 - 2150/3. -(t - 43)*(t - 5)**2*(t - 2)/3 Let -180*f**5 - 212*f**4 + 704*f**3 + 864*f**2 + 64*f - 64 = 0. Calculate f. -2, -1, -2/5, 2/9, 2 Suppose 7*d**3 - 47*d**2 - 14*d = 0. What is d? -2/7, 0, 7 Factor -w**4 - 5*w**3 + 24*w**2. -w**2*(w - 3)*(w + 8) Find h, given that -h**5/4 + 2*h**4 - 9*h**3/2 + 4*h**2 - 5*h/4 = 0. 0, 1, 5 Determine v, given that 7*v**4 - 40*v**3 - 117*v**2 - 86*v - 16 = 0. -1, -2/7, 8 Determine x so that x**4 - 17*x**3 + 108*x**2 - 304*x + 320 = 0. 4, 5 Determine y, given that y**4 - 159*y**3 + 6397*y**2 - 5925*y - 12482 = 0. -1, 2, 79 Factor -3*k**2 - 39*k/2 + 36. -3*(k + 8)*(2*k - 3)/2 Determine f, given that 2*f**2/15 + 40*f/3 + 1000/3 = 0. -50 Factor -3*n**2/5 + 3*n/5 + 18/5. -3*(n - 3)*(n + 2)/5 Factor 2*n**2/11 + 96*n/11 - 416/11. 2*(n - 4)*(n + 52)/11 Find m such that 2*m**5 - 332*m**4 = 0. 0, 166 Factor 2*h**5/5 - 44*h**4/5 + 156*h**3/5 - 224*h**2/5 + 146*h/5 - 36/5. 2*(h - 18)*(h - 1)**4/5 Find a such that -4*a**4 + 48*a**3 - 192*a**2 + 320*a - 192 = 0. 2, 6 Find p, given that -p**5 + 10*p**4/3 + 74*p**3/3 + 32*p**2/3 - 71*p/3 - 14 = 0. -3, -1, -2/3, 1, 7 Suppose -g**3 - 2*g**2 = 0. Calculate g. -2, 0 Factor 3*p**2 - 360*p - 363. 3*(p - 121)*(p + 1) Factor 7*o**2/4 - 136*o - 39. (o - 78)*(7*o + 2)/4 Let -4*b**2 - 64*b = 0. Calculate b. -16, 0 Find y such that -y**5/2 - 4*y**4 - 12*y**3 - 17*y**2 - 23*y/2 - 3 = 0. -3, -2, -1 Let -7*g**2/4 - 1261*g/2 - 180 = 0. Calculate g. -360, -2/7 Let 12*x**5/5 - 2013*x**4/5 - 516*x**3/5 + 2013*x**2/5 + 504*x/5 = 0. What is x? -1, -1/4, 0, 1, 168 Factor 3*h**2 + 606*h + 2955. 3*(h + 5)*(h + 197) Factor 3*n**2/8 + 165*n/4 + 9075/8. 3*(n + 55)**2/8 Suppose 2*m**4/9 + 8*m**3/9 - 34*m**2/9 - 16*m/3 + 8 = 0. What is m? -6, -2, 1, 3 Factor -3*r**2/5 + 78*r/5 - 15. -3*(r - 25)*(r - 1)/5 Suppose -400*j**5 - 5080*j**4 + 1631*j**3 + 911*j**2 - 160*j - 52 = 0. Calculate j. -13, -1/4, 2/5 Factor 30*q**3/11 - 7*q**2/11 - 2*q/11. q*(5*q - 2)*(6*q + 1)/11 Factor -q**5/10 - 13*q**4/5 - 169*q**3/10. -q**3*(q + 13)**2/10 Factor -2*k**2/9 + 70*k/9 - 68/9. -2*(k - 34)*(k - 1)/9 Find x, given that -76*x**3 - 148*x**2 + 8*x = 0. -2, 0, 1/19 Factor -6*q**2 - 34*q. -2*q*(3*q + 17) Solve -u**3/2 - 21*u**2/2 - 60*u - 50 = 0 for u. -10, -1 Factor -2*q**2/9 - 64*q - 4608. -2*(q + 144)**2/9 Suppose -2*n**5/21 + 4*n**4/7 - 6*n**3/7 + 8*n**2/21 = 0. What is n? 0, 1, 4 Find n, given that 3*n**5/5 - 63*n**4/5 + 402*n**3/5 - 858*n**2/5 + 747*n/5 - 231/5 = 0. 1, 7, 11 Find y, given that 4*y**5 + 28*y**4 + 44*y**3 - 28*y**2 - 48*y = 0. -4, -3, -1, 0, 1 Solve 2*o**5 - 64*o**4 + 114*o**3 + 188*o**2 - 232*o - 240 = 0. -1, 2, 30 Solve 5*b**5 - 80*b**4 + 320*b**3 - 530*b**2 + 395*b - 110 = 0. 1, 2, 11 Factor -4*c**4/5 - 188*c**3 - 11500*c**2 - 52900*c. -4*c*(c + 5)*(c + 115)**2/5 Factor -2*u**3 + 5314*u**2 + 5320*u - 10632. -2*(u - 2658)*(u - 1)*(u + 2) Suppose 4*y**2 + 168*y - 352 = 0. Calculate y. -44, 2 Factor -3*m**3/2 + 99*m**2/2 + 216*m + 222. -3*(m - 37)*(m + 2)**2/2 Let -o**4 + 64*o**3 - 814*o**2 - 6720*o - 11025 = 0. Calculate o. -3, 35 Factor 2*q**3 - 162*q**2 - 852*q - 688. 2*(q - 86)*(q + 1)*(q + 4) Solve 3*h**3 - 3*h = 0. -1, 0, 1 What is z in -4*z**4/5 + 108*z**2/5 - 216*z/5 = 0? -6, 0, 3 What is z in 3*z**5 - 1515*z**4 + 193518*z**3 - 565494*z**2 - 193521*z + 567009 = 0? -1, 1, 3, 251 Factor 2*m**4/15 + 12*m**3/5. 2*m**3*(m + 18)/15 Factor -5*u**2 - 185*u + 390. -5*(u - 2)*(u + 39) Factor -2*t**5/9 + 2222*t**4/3 - 26644*t**3/9 + 39956*t**2/9 - 8878*t/3 + 6658/9. -2*(t - 3329)*(t - 1)**4/9 Determine h so that h**3/2 - 257*h**2/2 + 508*h - 506 = 0. 2, 253 Factor -4*v**2 + 40*v - 96. -4*(v - 6)*(v - 4) Factor -d**2/2 + 468*d - 109512. -(d - 468)**2/2 What is o in 5*o**3 + 1235*o**2 + 2455*o + 1225 = 0? -245, -1 Solve -2*c**4/5 - 82*c**3/5 - 156*c**2/5 = 0 for c. -39, -2, 0 Solve -2*f**2 - 716*f - 64082 = 0. -179 Factor -3*v**2 - 93*v - 174. -3*(v + 2)*(v + 29) Solve 81*v**4/2 + 153*v**3/2 - 199*v**2 - 208*v - 48 = 0. -3, -4/9, 2 Factor -2*q**3 + 2284*q**2 - 4562*q + 2280. -2*(q - 1140)*(q - 1)**2 What is y in 5*y**5 + 100*y**4 - 215*y**3 + 110*y**2 = 0? -22, 0, 1 Factor -5*u**3 + 4895*u**2. -5*u**2*(u - 979) Factor -2*r**3/5 - 884*r**2/5 - 6976*r/5 - 13888/5. -2*(r + 4)**2*(r + 434)/5 Let -j**4/2 - 8*j**3/3 - 14*j**2/3 - 8*j/3 = 0. What is j? -2, -4/3, 0 Let f**4 + 5*f**3 - 75*f**2 - 625*f - 1250 = 0. What is f? -5, 10 Factor 2*q**3 - 28*q**2 + 22*q + 52. 2*(q - 13)*(q - 2)*(q + 1) Factor 2662*o**5 - 44528*o**4 + 171160*o**3 + 426208*o**2 - 1986944*o - 3511808. 2*(o + 2)**2*(11*o - 76)**3 Factor -r**2/5 + 1317*r/5 + 1318/5. -(r - 1318)*(r + 1)/5 Determine y so that y**5/3 - 14*y**4/3 - 469*y**3/3 + 7142*y**2/3 + 156*y - 2376 = 0. -22, -1, 1, 18 Find y, given that -2*y**2/3 - 14*y + 44/3 = 0. -22, 1 Let -2*f**3/3 + 64*f**2/3 - 122*f/3 + 20 = 0. Calculate f. 1, 30 Let 351*t**5/5 + 414*t**4/5 - 12786*t**3/5 + 10224*t**2/5 - 2637*t/5 + 42 = 0. Calculate t. -7, 2/13, 1/3, 5 Suppose 4*i**4 - 20*i**3 + 20*i**2 + 20*i - 24 = 0. Calculate i. -1, 1, 2, 3 Solve y**4/7 + 3921*y**3/7 + 7839*y**2/7 + 3919*y/7 = 0 for y. -3919, -1, 0 Solve -n**4/2 + 3*n**3/2 - 2*n = 0 for n. -1, 0, 2 Determine g so that -217*g**5/3 - 201*g**4 + 1016*g**3/3 - 60*g**2 - 16*g/3 = 0. -4, -2/31, 0, 2/7, 1 Solve -10*x**2/3 - 4*x/3 = 0 for x. -2/5, 0 Factor -f**5/2 - 11*f**4 - 56*f**3. -f**3*(f +
{ "pile_set_name": "DM Mathematics" }
0.3, t, -1? t Let p(d) = -9 + 0*d**3 + d**3 - 13*d - 13*d**2 - 6. Let y be p(14). What is the closest to 1 in 1, y, 1/7? 1 Let h = -0.4 - -0.4. Let y(z) = -z**2 - 2*z + 47. Let a be y(-8). What is the closest to a in 3, h, -0.1? -0.1 Let w = -0.52 + 0.02. Let r = -0.2 - w. What is the closest to -1 in -0.1, 4/5, r? -0.1 Let z = -3/10 + -1/30. What is the closest to 2/7 in 1/2, z, -3? 1/2 Let z be 16/24*1/2. Which is the closest to -2/3? (a) 2/23 (b) z (c) 2/5 a Let q = 1.94 - -0.06. What is the nearest to -0.02 in 5, 0, q? 0 Let l(z) = z + 2. Let g be l(-2). Suppose g = s, -5 = 5*w - 3*s + 10. Let p = -40 - -121/3. Which is the nearest to p? (a) 5 (b) w (c) -0.4 c Let x = -0.3 + -0.7. Let q = 0.52 + 2.48. What is the nearest to x in q, -0.5, -4? -0.5 Let c = -20 - -20. What is the nearest to -2 in -1, 2/3, c? -1 Let n(m) = -m**2 + 3*m + 4. Let d be n(3). Let o(x) = -x + 5. Let y be o(d). Suppose -3*z + 3 = -3. Which is the nearest to y? (a) -2 (b) z (c) 5 b Let h = -0.11 - 3.89. What is the nearest to -2/7 in 5, -2, h? -2 Suppose -q = 3*q - 4*f + 12, 2*q - 8 = -5*f. Let k = 0.42 + -0.4. Let t = -0.02 + k. Which is the closest to q? (a) 0.5 (b) t (c) -3 b Suppose 5*a + 3*m = -1, -3*a - 2*m = -2 + 3. What is the closest to a in -0.4, 1/3, -5? 1/3 Let g = 89/132 - 7/12. Let v(n) = 2*n + 3*n - 8 + n**2 + 3. Let s be v(-6). What is the closest to -0.1 in s, 4/3, g? g Let r = 0.01 - 0. Let f = r - -0.29. Let j = f - 0.4. What is the nearest to j in -0.2, -3, 2/9? -0.2 Let o be (-1)/(-3) - 145/261. Let i = -1 + 1. What is the nearest to 1 in i, o, 0.5? 0.5 Let m be (2 - 1*-3)*-1. Let g = 90 + -93. What is the nearest to g in m, -2, -3? -3 Suppose 2*i + 3*g = 10, -3 - 1 = -4*i + 2*g. What is the nearest to i in -3/5, 0, 3? 3 Let p be (-33)/(-22)*(-2)/(-12). What is the nearest to -4 in -1/3, 3, p? -1/3 Let x = -34 + 169/5. What is the nearest to 0.1 in x, -5/2, -3/7? x Let z be 9 - ((-65)/(-15) - 4/(-6)). Suppose -3*p - 2 = -5. What is the closest to p in z, -5, -3? z Let z = 1 + -0.7. Let i be (20/(-45))/((-16)/12). Which is the nearest to i? (a) z (b) 3 (c) 1 a Let v be (-186)/(-36) + (-4)/24. Let x = -2 + 5. Let i be -1 + 3 + -4 + 2. Which is the closest to i? (a) 2/7 (b) v (c) x a Let v = 0.04 + -0.44. Let i = -0.6 + v. Let b = -4 - -8. What is the nearest to -0.1 in i, b, 2? i Let t = -61 + 181/3. What is the closest to t in -1/2, -0.3, -2? -1/2 Suppose 3*u + 12 = 3*f + 3, 5*u = -f + 3. Suppose 0 = f*x - 2*x + 4*j - 10, -5*x = -3*j - 4. Which is the closest to 1/4? (a) -2 (b) x (c) -3 b Suppose 5*z - 4*t - 68 = 0, 0 = 2*z + 2*t + 15 - 53. Let s = -19 + z. Let w(g) = -g. Let x be w(0). What is the nearest to x in s, -4, 1/2? 1/2 Let z(m) = -3*m - 6. Let t(c) = 13*c + 23. Let f(v) = 2*t(v) + 9*z(v). Let x be f(-6). Let y = 0.15 - -0.05. What is the nearest to -1 in y, x, 3/5? x Let r(t) = -2*t**2 - 4*t - 3. Let d be r(-2). Let s = d + -1. What is the closest to -0.1 in s, -1, 2/15? 2/15 Let k = 0.114 + 0.856. Let h = k - -0.03. What is the closest to 1/4 in h, -2, -1/4? -1/4 Let n = 31 - 31. What is the closest to n in 0, 4, -2? 0 Let s = -18.4724 + -0.1876. Let d = -19 - s. Let y = d + -0.06. Which is the nearest to -1? (a) 3/4 (b) 1/3 (c) y c Let b = 45/8 + -389/72. Let x = -1.03 - -0.03. What is the closest to -0.2 in x, b, 5? b Let z = -14.69 + 0.49. Let d = z + 14. What is the nearest to -1 in d, 3/7, 0.4? d Let v = 0 + -0.1. Let u be 8/(-18)*18/12. What is the nearest to 0 in -3, v, u? v Let a = 0.277 - -0.023. Let l = -2 + 2.5. What is the closest to -1 in l, a, -3/7? -3/7 Suppose 0 = 4*g + 5*y + 5, -4*g + 7*g - 4*y + 27 = 0. Suppose 0 = 3*l + 22 - 4. Let i be (3/11)/(l/4). Which is the closest to 1? (a) 0.1 (b) g (c) i a Let y = -4.4 + 4. Let p = 0.6 + y. Let h = 31 - 30.7. What is the closest to 1 in 0, p, h? h Let z be 28/51 - 8/12. Which is the closest to -1? (a) -2/3 (b) z (c) 1 a Let h = -17 - -21. Which is the nearest to -2/7? (a) h (b) -1/3 (c) -2/13 b Let l = -0.06 - 0.94. Let r = l + 1.1. Let u = 0.25 + 0.05. Which is the closest to 0.1? (a) r (b) -3 (c) u a Let k = -58 - -54. What is the nearest to 0.2 in 0.4, 1/3, k? 1/3 Let t = 1.6 - -3.4. Let i = 0.3 - 0.2. Which is the closest to i? (a) -3 (b) t (c) -0.2 c Let f = -59 + 63. What is the closest to 1 in 4/5, 3, f? 4/5 Let p = -83 + 82.9. Which is the closest to p? (a) 0.4 (b) -4 (c) -0.2 c Let i = -101 + 104. Which is the closest to -1? (a) 0.2 (b) -4/7 (c) i b Let w be (2/10)/(45/50). What is the nearest to -1 in -1, -2, w? -1 Let j = 0.123 - 0.523. Which is the closest to -1/3? (a) 2 (b) -0.5 (c) j c Let v = 86/15 + -16/3. Which is the nearest to -0.2? (a) 0.2 (b) -2/3 (c) v a Let r = -5 + 22/5. Which is the nearest to 0? (a) 4/9 (b) r (c) 2/3 a Let z be (2/20)/((-2)/(-4)). Suppose 6 + 1 = -m. Let c be (1/(-4))/(m/8). What is the closest to -0.1 in z, -0.1, c? -0.1 Let w = 143 - 717/5. Let z = 0.6 + -1.2. Let n = -0.4 - z. Which is the closest to w? (a) 1/4 (b) n (c) -3 b Let l be (2/9)/((-1)/(-1)). What is the nearest to -1/2 in 0.2, l, 0.3? 0.2 Let x = 2 + -1.95. Let j = -14 - -16. What is the closest to x in 0, 0.2, j? 0 Suppose 3*d = v - 65, d = -3*v + 2*d + 203. Let f = v + -409/6. Which is the nearest to 0.1? (a) f (b) 3 (c) -1 a Let b = 37 - 37.2. Let p = b + 0.1. Suppose -3 = -5*h - 4*k + 1, 3*k = -5*h + 8. What is the closest to p in 5, h, 0? 0 Let n = 0.2 - 0. Let d = -107 + 106.8. Which is the closest to d? (a) 5 (b) n (c) 2/13 c Let m be (2 - 1) + 0 + -1. What is the closest to 1/3 in 2/5, m, -2/9? 2/5 Let i(r) = -r**3 - 9*r**2 - 7*r + 7. Let f be (20 - 0)*2/(-5). Let x be i(f). Which is the nearest to 0.1? (a) x (b) -0.3 (c) -0.2 c Suppose 14 = -5*x + 4*l, 0 = -x + l - 1 - 2. Let u = 4.2 - 4. Which is the nearest to u? (a) 5 (b) -2/5 (c) x b Suppose -24 = 3*y - 15. Which is the nearest to 2/7? (a) y (b) -1 (c) 0.1 c Let v = 0 - -0.1. Let d(p) = 2 + 2 - 2 + p + p**2. Let g be d(0). What is the closest to v in g, -0.4, -1? -0.4 Let t be 2/(-7) - 1/(-28). Let j(f) = -f**2 - 3*f + 2. Let w be j(-4). Let h be (-6)/28 + w/(-4). Which is the closest to h? (a) t (b) -0.3 (c) -0.5 a Let f = -24 + 24.05. What is the closest to 0.1 in 0, f, -3? f Let n = -0.11 + -0.09. Which is the nearest to 1/2? (a) 1 (b) n (c) -0.5 a Let l(y) = y**3 + 4*y**2 - 3*y. Let f be l(-3). Suppose -4*q = -2 - f. Let v = 3 - 4. Which is the nearest to v? (a) q (b) -1/2 (c) 0.1 b Let g = 1 - 2. Let j = 7 + -29/4. Which is the nearest to 1? (a) j (b) -4 (c) g a Let z = -6 - -8. What is the nearest to 6 in z, 1/2, -3/4? z Let q = -20 - -10. Let j(z) = z**2 + 11*z + 9. Let g be j(q). Let y = -6.6 + 7. Which is the closest to g? (a) 1/4 (b) -5 (c) y a Let s = -8/5 - -37/20. Let q = 0.7 + -0.3. Which is the closest to -0.2? (a) 2/9 (b) s (c) q a Suppose 2 = -4*l - v, -4*v = -4*l - 6*v. Let k be ((-6)/(-9))/((-4)/(-6)). Which is the nearest to 1? (a) k (b) l (c) -0.4 a Let u = -2.8 - -3. Let t = u + 0.8. Suppose -4 = -5*x - 14. Which is the nearest to 1/3? (a) -0.1 (b) t (c) x a Let d = 4 - 4.03. Let i = d - -1.03. Which is the closest to 2/3? (a) -3 (b) -0.5 (c) i c Let z = 0.9 + 0.1. Which is the nearest to 0.1? (a) -0.4 (b) 5 (c) z a Let x = -0.4 + 2.4. Let y be ((-4)/14)/((-9)/(-21)). Which is the closest to y? (a) -1/5 (b) -5 (c) x a Let o be (-3*4/6)/(-1). Let t = 28 + -24.8. Let u = t + -3. What is the closest to 1 in -4/3, o, u? u Let u = 0 + -0.5. Let d be (2 - (-85)/(-45))*-3. Which is the nearest to -1? (a) u (b) 1/4 (c) d a Let t = 7/4 - 9/4. Which is the nearest to 5/7? (a) -1 (b) -0.2 (c) t b Let w = -4 + 3. Let v = 17/2586 - 35703/11206. Let j = v + 24/13. What is the nearest to -2 in w, -4, j? j Let w(p) = p**3 - 2*p**2 - p. Let y be w(3). Let z be (0 + -2)/(4/y). Which is the nearest to 2/7? (a) z (b) 0.3 (c) 0.4 b Let l = 10 + -13. Let v = l - -4. What is the nearest to v in 4, 0.4, 1/8? 0.4 Suppose -8*f = 2*f - 7*f. What is the closest to f in -0.4, 5, -8? -0.4 Let h = 126 - 125.9. Which is the nearest to h? (a) 0.2 (b) -5 (c) 0.3 a Let k = 0.01 + 0.99. Let s = 0.9 - k. Let z = -17/2 + 47/6. Which is the closest to 1? (a) s (b) z (c) -0.2 a Let b be (2/59)/((-3)/
{ "pile_set_name": "DM Mathematics" }
- 3. Let f be q(5). Let z(h) = h - 9. Let u be z(f). What is the closest to 0.1 in u, 5, 4? u Let l = -55 - -58. Which is the nearest to -4? (a) -0.4 (b) -3 (c) l b Let x = 0.3 + 2.3. Let w = x - 3. Let m = 0.2 + w. Which is the closest to -1? (a) 3 (b) 4 (c) m c Let f be (-9 + -1)*12/30. Let k = 0 + 0.4. Which is the closest to 1? (a) f (b) 0 (c) k c Let l(y) = -y**2 + 3*y. Let u be l(0). Let p = 2.4 + 0.6. Let d = p + 1. Which is the nearest to 0? (a) d (b) -3 (c) u c Let w = -14.1 - -2.1. Let n = w + 7. What is the closest to -0.1 in -3, -2/7, n? -2/7 Suppose -u - u - 11 = d, 2*u = -10. What is the nearest to d in 1/6, 0.1, -0.1? -0.1 Let w be ((-5)/10)/(2/24). Let m be (9 + -3)/3 + w. What is the nearest to -0.1 in -5, -1, m? -1 Let j = -0.4 + 0.3. Let b = -39 + 38. Let g = -2 + 2.4. What is the closest to j in g, b, -0.2? -0.2 Let k = -0.2 - 0.8. Which is the nearest to -1? (a) -2/5 (b) -4 (c) k c Let x = -1.528 - 0.472. Let w = -1 + 1.2. Suppose 0 = -2*u + 3 + 3. What is the nearest to x in w, u, 0.5? w Let x = -4.93 + -0.07. Let q be (-5)/(-8)*(-2)/(-10). What is the nearest to 1 in 0.4, x, q? 0.4 Let q = -7 - -9. Let m = 3 + 2. Which is the closest to q? (a) -0.3 (b) 0 (c) m b Let t = -0.401 - -0.001. Which is the nearest to -1/2? (a) -5 (b) -3 (c) t c Let f = 6 - 6.2. Let w = 0.1 - f. Let d = -1 - 3. What is the nearest to 0 in w, d, -5? w Let n = -74.998 - -75. Which is the closest to 1? (a) -3 (b) n (c) 3 b Let s = -9.22 - -9.22. Let u = -51/13 - -318/91. Which is the closest to u? (a) s (b) 3 (c) -5 a Let y = 8/39 + -1/26. Let p(x) = -x**2 + 3*x + 2. Let g be p(3). Let r be 2 + -2 - g/8. What is the nearest to y in -0.1, -1, r? -0.1 Let w = -0.7 + -0.3. Let u = -4.584 - 0.016. Let x = u - 0.4. Which is the closest to -1/4? (a) w (b) -1/2 (c) x b Let w = -0.05 + 0.12. Which is the nearest to w? (a) -3/4 (b) -2/13 (c) 1/2 b Let b = -2/79 - 71/316. Let y(w) = w**3 + 8*w**2 + 9*w + 9. Let q be y(-8). Let g = q - -311/5. What is the nearest to 0.1 in g, b, 5? b Let b = -15 - -12. Let k = 2.9 + -3. What is the nearest to -1 in k, b, 2/3? k Let m = 54.4 - 54. Which is the nearest to -2/3? (a) -4/3 (b) 4 (c) m a Let m be -3 + -1 + (-15)/(-5). Let g be -3 + 3 - m*3. What is the nearest to 0.2 in -1, g, 1/5? 1/5 Let c = 2.7 + -3. Let f = 3.2 + -6.3. Let n = f + 3. What is the closest to 0.1 in 2/7, c, n? 2/7 Let w(q) = -2*q**2 + 16*q - 13. Let t be w(7). Which is the nearest to 1? (a) -0.5 (b) t (c) -1 b Let n = 163/2 - 83. What is the closest to -2/5 in -3/5, n, 6/5? -3/5 Let x(y) = y. Let m be x(4). Suppose -4*w - 2 = -n, -w = -m*n + 14 + 24. Suppose -4*h - 2 = n. What is the nearest to 0.2 in -2, 1, h? 1 Let n be (1 + 5)*1/(-8). What is the closest to -3 in -6/5, n, 1? -6/5 Let j = 4/5 - 13/10. Let n be (-40)/18 + 2 - 16/(-72). Which is the nearest to n? (a) -0.1 (b) -1 (c) j a Let h = -0.02 + 5.02. Let q = -4 - -3.5. Let o = 1.5 + q. Which is the nearest to o? (a) 0.5 (b) h (c) 4 a Suppose 0*j + 6 = 2*j - 2*u, -2*j = 3*u - 1. Let d = -9 - -13. Suppose d*r = 2*g - 4*g - j, 0 = -r + g - 8. What is the closest to -2/5 in -1/3, r, 0.1? -1/3 Let v = 0.057 + -0.157. Let l = 7.7 + -8. Which is the closest to -2/3? (a) -1 (b) l (c) v a Let x = -17/210 + 3/14. What is the nearest to -1 in 0.4, 15, x? x Let b(c) = 13 - 10 - 8 + 6*c**2 + 7*c - c**3. Let y be b(7). What is the closest to 2/3 in 1/7, -2/5, y? 1/7 Let w = 0.3 - -0.1. What is the nearest to 2/3 in 4/3, w, 0.1? w Let o = -55 + 51. Let r(t) = -t**3 - 2*t**2 + t + 2. Let j be r(-2). Let m be (2/(-8)*3)/(-3). Which is the closest to j? (a) o (b) m (c) 0.1 c Let x(f) = f. Let r be x(4). Let d be (-3 - -4) + 4 - 4. Which is the nearest to -1? (a) 0.5 (b) d (c) r a Let z = -166/5 + 100/3. Let x(c) = c + 2. Let p be x(4). Let f be 3/(p/4) - 7. What is the closest to 0.1 in 4, z, f? z Let k = 0.48 - 2.48. Which is the closest to -2? (a) 1 (b) 0.3 (c) k c Let d = 0.45 - -1.45. Let g = -1.5 + d. Which is the closest to -4? (a) 1 (b) 2 (c) g c Let y(q) = q. Let r be y(-5). Suppose -2*n - 4 + 0 = 0. Let k = -40 - -39. Which is the closest to k? (a) n (b) r (c) 5/2 a Let i(h) = h + 4. Let j be i(-6). Which is the nearest to -0.1? (a) -5 (b) 0.3 (c) j b Let z = 50/13 - 976/247. Let n be ((-6)/20)/(18/(-15)). What is the nearest to -0.1 in -2/13, z, n? z Let h = 1.94 - -0.06. Let s = 24 + -23.92. Let c = s + 0.22. What is the nearest to 0.2 in h, 3, c? c Let s = 93 + -92. Suppose -2 = 3*d - 14. Let w = -0.3 + 0.4. What is the nearest to w in 0, d, s? 0 Let q = -12 + 12. Let m = -2 + q. What is the nearest to -1/2 in m, -1/5, 0.5? -1/5 Let s(w) = -6*w - 32. Let u be s(-6). What is the nearest to -1 in 2/7, 5, u? 2/7 Let k = -20 + 24. Which is the closest to -1? (a) k (b) 2 (c) -2 c Let k be 1/(-5)*5/(-2). Let m = 23 - 47/2. What is the closest to m in 4, k, -1/2? -1/2 Let z = 0.126 - 14.226. Let u = z + 15. Let v = u + -2.9. What is the closest to v in 3, 1/5, 0.4? 1/5 Suppose -3*x = -8*x - 10. Let n be 0/((-1)/x*-2). What is the closest to n in -0.5, -5, 1? -0.5 Let i = 13 + -13.3. Which is the closest to 0.2? (a) i (b) -2 (c) -1 a Let l = -10 - -7. Let w be (-2)/(-7) - (-10)/(-84). Let r = 1024 - 11263/11. Which is the nearest to 2/7? (a) r (b) l (c) w c Let y = 0.6 + -1.6. Which is the nearest to 0? (a) y (b) -2/3 (c) 4/7 c Let m = 0.78 + 0.22. What is the closest to 0.1 in -0.2, m, 4/7? -0.2 Let w be 104/(-88) + (-2)/(-11). Let o be (w/(-6)*-1)/1. Which is the nearest to 1? (a) -5 (b) -0.1 (c) o b Let o = 4 - 1. Let k = 6 + -10. Let m be (1/9)/(k/8). What is the closest to 1 in o, m, -5? m Let g = -14 - -17. Let w = -0.03 + -0.17. Which is the closest to -1/4? (a) g (b) 0.5 (c) w c Let j = 5.05 - 0.05. Let a = 117.6 + -118. What is the nearest to 2 in a, j, 0.1? 0.1 Let o = 30 - 32. Let v be (o - -2)/(0 + -2). Let m = 0.2 - -0.8. What is the nearest to v in m, -3, 0.2? 0.2 Let m be (-1)/3 - 20/(-6). Let l = -85 + 253/3. What is the closest to -2 in l, -5, m? l Let l be (-4)/14*(-7)/3. Let j = -338/7 + 48. Which is the closest to j? (a) l (b) 0 (c) 2 b Let d(l) = l**2 - l - 3. Let r be d(3). Suppose 0 = -2*f + 4 - 2. What is the nearest to -0.3 in r, f, -2/9? -2/9 Let v = 0.04 - 0.44. Suppose 3*s - 2*s + 1 = 0. What is the closest to -1/2 in v, 1, s? v Let j be (3 - (-27)/(-12))/3. Let m(r) = -2*r**2 + 3*r. Let a be m(5). Let w be (-6)/40 - 14/a. What is the nearest to j in w, -2/9, 1? w Let b = 78 - 77.6. What is the nearest to 0 in 3/10, b, 2/7? 2/7 Suppose -8 + 0 = -4*d - 4*q, -2*d + 3*q - 16 = 0. Let l be (0/2)/(d/(-1)). Which is the closest to -1/3? (a) -3/7 (b) 4 (c) l a Let u = -541 - -21100/39. Let y = 121/156 - u. Let x(z) = z**2 - 6*z + 5. Let j be x(5). Which is the nearest to j? (a) -1/5 (b) 2/7 (c) y a Let u = 57 - 52. Which is the closest to u? (a) 2/3 (b) -1/2 (c) -1 a Let z = 0.05 - -1.95. Let x = 4.3 + -4.5. Which is the nearest to -1/2? (a) z (b) x (c) -3/4 c Let i = 2 - 1. Let t(r) = r - 2. Let h be t(-2). Let z be -2 - 4/(-18) - -2. What is the closest to i in z, -5, h? z Suppose y = 2*y + 4*y. What is the closest to y in -1, 3/5, 0.5? 0.5 Let p = 0.7 - 1. Let d = -15.2 + -1.8. Let a = -12 - d. What is the nearest to 1 in p, a, 2? 2 Let x = 0.4 + -0.1. What is the closest to 1 in x, -4, 3? x Let s = -0.2 + -0.3. Suppose 2*o + t + 0*t = 11, 5*o + t = 26. What is the nearest to 1 in 3, s, o? s Let n = 60 + -59. What is the closest to n in -4, 2/19, 1/8? 1/8 Suppose -4*t = -6*t. Which is the closest to t? (a) -5 (b) -7 (c) 1 c Let l = -14 + 17. What is the nearest to 0 in l, 2/5, -3/2? 2/5 Let m = 5.9 - 16.9. Which is the closest to m? (a) 2/11 (b) 3 (c) -0.1 c Let x = 26 + -25. Which is the nearest to 0? (a) 3/2 (b) 1/2 (c) x b Let w be (1 + (3 - 3) - 3) + 1. What is the closest to w in -6/7, 0.4, -5? -6/7 Let w = -8/3 + 7/3. Which is the nearest to 0? (a) -2/17 (b) -16/9 (c) w a Suppose -4*m - 4*v = -12, -3*m + 3*v - 29 = -8. What is the nearest to -1 in 2, -2/13, m? -2/13 Let d = 2 - 1. Let v = 0.036 - 0.136. Which is the closest to v? (a) d (b) -4 (c) -6 a Let r = 0.6 - 0.1. Let k = r - 1. Let i = 0.427 - 0.027. What is the nearest to 2 in 5, i, k? i Let x = 5.
{ "pile_set_name": "DM Mathematics" }
Let r(z) = -14*z**2. Let b(h) be the second derivative of h**3/6 - 2*h**2 + 28*h + 7. Calculate b(r(f)). -14*f**2 - 4 Let h(l) = -4*l**2. Let v(i) = -1 + 1 + 30280*i**2 - 30538*i**2. Calculate v(h(g)). -4128*g**4 Let i(y) be the second derivative of -13*y**3/6 + 3*y**2/2 + y. Let j(m) be the second derivative of m**3/3 + 103274*m. What is i(j(w))? -26*w + 3 Let u(x) = -185 + 49*x - 183 - 180 + 548. Let z(q) = 13*q. Determine u(z(d)). 637*d Let b(r) = 775*r**2 - 2342*r**2 + 778*r**2 + 784*r**2. Let a(f) = -884*f. What is b(a(m))? -3907280*m**2 Let q(i) = -178*i + 91*i + 83*i. Let h(s) = -s**2. Let b(v) = 4*v. Let n(p) = b(p) - h(p). Determine q(n(u)). -4*u**2 - 16*u Let a(w) = -w**2. Let i(s) = -3*s**2 + 13*s**2 - 11*s**2 + 0*s**2. Let r(n) = 39*n**2. Let u(b) = -10*i(b) - 2*r(b). What is a(u(y))? -4624*y**4 Let x(v) = 59*v + 18*v - 76*v. Let t(g) = -2*g**2 + 4*g**2 - 3*g**2 + 49*g. Give t(x(y)). -y**2 + 49*y Let u(z) = -375 - 16*z**2 + 13*z**2 + 393. Let t(v) = -12*v. Determine t(u(c)). 36*c**2 - 216 Let a(w) be the first derivative of -88 + 24 + 26 - 11*w**2. Let i(c) = -11*c - 8*c - 10*c + 25*c. What is a(i(t))? 88*t Let t(f) = -48*f + 15*f + 19*f + 16*f. Let o = 9 + -9. Let q(r) = o - 2 - 32*r**2 + 2. What is q(t(b))? -128*b**2 Let v be 51/(-9) - -5 - 16/(-6). Let m(h) = -19*h**2 - 3*h**v + 26*h**2. Let u(g) = 5*g**2. Give u(m(j)). 80*j**4 Let c(f) be the first derivative of -11*f**3 + 2460. Let k(r) = 4*r**2 + 2. Give c(k(v)). -528*v**4 - 528*v**2 - 132 Let g(z) be the second derivative of -22*z**4/3 + 63*z - 17. Let l(q) = -2*q. Give g(l(h)). -352*h**2 Suppose -5*a + 7*c = 2*c - 80, a + 4*c - 11 = 0. Let v(f) = 7*f + a*f - 22*f + f**2. Let z(i) = -1 + 1 - 33*i. What is v(z(k))? 1089*k**2 Let h(a) = -482532*a. Let f(k) = -k**2. Determine f(h(v)). -232837131024*v**2 Let x(a) = -37*a + 52. Let n(z) = 13*z - 22. Let w(y) = 7*n(y) + 3*x(y). Let f(c) be the third derivative of -c**4/12 + c**2. Give w(f(r)). 40*r + 2 Let c(l) = 2*l**2 - 6. Let u(n) = -20944*n. Determine u(c(j)). -41888*j**2 + 125664 Let l(y) be the first derivative of y**2/2 + 2*y - 132. Let b(s) = -7*s - 4. Let i(q) = -b(q) - 2*l(q). Let p(z) = -6*z**2. Calculate i(p(x)). -30*x**2 Suppose -4*w = 2*w - 2112. Let a(b) = 352 - 2*b - w. Let c(x) = 900*x + 0 + 0 - 901*x. Determine a(c(y)). 2*y Let u(g) = 12*g**2 - 25*g - 50. Let i(v) = 3*v**2 - 6*v - 12. Let l(c) = 25*i(c) - 6*u(c). Let n(w) = 253*w**2. Determine n(l(k)). 2277*k**4 Let p(v) = 22505*v. Let c(a) = 83*a**2. Give p(c(s)). 1867915*s**2 Let k(h) = -2*h. Let i(s) = s**2 - 1174430*s - 32. Determine k(i(d)). -2*d**2 + 2348860*d + 64 Let r(u) be the second derivative of -5*u**3/6 + 417*u. Let w(q) be the third derivative of 9*q**5/20 + 3*q**2. Determine w(r(j)). 675*j**2 Let g(o) = o**3 + 6*o**2 + 7*o - 4. Let j be g(-4). Let c be -2 - -1 - (-4 - j). Let a(m) = 7 - 10 - 27*m + c. Let v(q) = -2*q**2. Determine v(a(d)). -1458*d**2 Let q(j) = -102*j**2 - 39. Let a(l) = -7966*l. Calculate a(q(m)). 812532*m**2 + 310674 Let r(x) = -128*x + 5. Let s(h) = -51*h + 2. Let p(j) = 4*r(j) - 10*s(j). Let u(f) = -93*f**2 + 1 - 1 - 13*f**2. What is u(p(a))? -424*a**2 Let c(m) = -932*m + 2811*m + 1206*m. Let w(x) = 3*x. Calculate w(c(p)). 9255*p Let w(h) = -13*h + 139. Let f be w(8). Let i(a) = -f*a - 40*a + 73*a. Let d(k) = -k**2 + 20*k. Calculate i(d(t)). 2*t**2 - 40*t Let i(n) be the second derivative of 7*n - 1/6*n**4 + 0*n**2 + 0 + 0*n**3. Let w(h) be the third derivative of -h**4/3 - 25*h**2. Give w(i(v)). 16*v**2 Let y(h) = 2*h. Let a(d) = -6 + 0 - 11*d + 5 - 10*d + 5. What is a(y(w))? -42*w + 4 Let q(b) = 1802*b - 56. Let x(z) = 901*z - 31. Let r(p) = 5*q(p) - 9*x(p). Let w(a) = a. Determine w(r(f)). 901*f - 1 Let j(q) = -451914*q**2. Let f(a) = -35*a**2. Give j(f(x)). -553594650*x**4 Let l(c) = -117*c**2 - 153*c. Let u(a) = -5*a**2. Determine l(u(v)). -2925*v**4 + 765*v**2 Let q(x) be the second derivative of -x**4/24 + 32*x**2 - 7*x - 1. Let h(b) be the first derivative of q(b). Let c(z) = 24*z. Determine h(c(v)). -24*v Let p(f) = -121*f**2. Let i(o) be the third derivative of -5*o**4/8 + 64*o**2 + 6. Calculate p(i(b)). -27225*b**2 Let p(b) be the first derivative of -6*b**3 + 4. Let a(x) be the third derivative of 0*x**3 + 0*x**4 + x**2 + 0 + 0*x - 1/30*x**5. Give p(a(y)). -72*y**4 Let z(l) = -3*l. Let p(a) be the third derivative of -11*a**4/12 + 3*a**3/2 - 8790*a**2. Give p(z(s)). 66*s + 9 Let d(n) = -2*n. Let u(q) = -46*q - 50 + 98*q - 57*q. Give d(u(f)). 10*f + 100 Let p(h) = -3*h + 169. Let c(d) = 75*d + 8. Let g(j) = 56*j + 6. Let s(y) = -6*c(y) + 8*g(y). Determine s(p(t)). 6*t - 338 Let y(a) = -2*a. Suppose -17 = -b - 0*b - 4*h, -10 = 5*h. Let c(l) be the first derivative of 2 + 1 - b*l**2 + 9*l**2. What is y(c(o))? 64*o Let w(m) = 3*m**2 + 24*m. Let d(k) = 11213 - 20*k**2 - 11213. What is w(d(l))? 1200*l**4 - 480*l**2 Let t(i) = -3435*i**2. Let l(n) = -5*n - 20*n + n + 6*n + 16*n. Determine l(t(z)). 6870*z**2 Let k(u) be the first derivative of -443*u**3/3 + 5937. Let h(q) = -13*q**2. Calculate h(k(j)). -2551237*j**4 Let a(q) = 4*q. Let k(g) = g**2 - 1. Let h = 135 + -134. Let t(f) = 2*f**2 - 4. Let n(j) = h*t(j) - 4*k(j). Calculate n(a(z)). -32*z**2 Let o(f) be the third derivative of -6649*f**4/24 + 3136*f**2. Let u(v) = v. Calculate o(u(a)). -6649*a Let m(a) be the third derivative of a**5/30 - a**4 - 3*a**2 + a - 49. Let g(k) = 3*k. Give g(m(b)). 6*b**2 - 72*b Let f(m) = 33*m**2 + 385*m - 7. Let v(h) = -463*h**2. Calculate f(v(r)). 7074177*r**4 - 178255*r**2 - 7 Let z(v) = -39*v**2. Let d(c) be the third derivative of 6 + 0*c - 7*c**2 + 0*c**4 - 1/60*c**5 + 0*c**3. Determine d(z(n)). -1521*n**4 Let o(s) = 1301*s - 1294*s + 4 - 5. Let j(x) = -3*x - 1. Determine o(j(v)). -21*v - 8 Let g(o) be the second derivative of o**3/6 - 2323*o. Let t(n) = -3*n + 0 + 2 + 0*n. Let p(d) = 2*d - 3. Let q(b) = -2*p(b) - 3*t(b). Calculate q(g(k)). 5*k Let b(o) be the first derivative of -o**4/12 + 5*o**2/2 + 4. Let s(j) be the second derivative of b(j). Let w(a) = -5*a - 4 + 4. Determine s(w(y)). 10*y Let h(x) = 22*x - 5. Let t(s) = -s**2 - 139*s + 65. Calculate t(h(q)). -484*q**2 - 2838*q + 735 Let r(x) = -14*x - 2. Let w(h) = -4*h - 3. Let d(f) be the second derivative of f**3/6 + f**2/2 - 3*f - 1. Let s(z) = 3*d(z) + w(z). What is r(s(k))? 14*k - 2 Let d(u) = -67*u**2. Let v(s) be the second derivative of -s**5/40 + 2*s**3/3 - s**2 + 143*s. Let i(w) be the second derivative of v(w). What is d(i(c))? -603*c**2 Let i(g) = 236*g + 33*g**2 - 236*g. Let v(n) = -13*n**2 - 4*n + 12. Let t(w) = 16*w**2 + 5*w - 15. Let u(k) = 4*t(k) + 5*v(k). Give u(i(f)). -1089*f**4 Let y(n) = -10*n + 3. Suppose -4*l = 33 - 45. Let u(i) = 17*i - 5. Let o(b) = l*u(b) + 5*y(b). Let v(a) = 92*a. Calculate o(v(d)). 92*d Let b(f) = 84246023*f**2. Let h(g) = -3*g**2. What is b(h(y))? 758214207*y**4 Let m(g) = 12*g. Let x(p) be the second derivative of -p**5/12 + 113*p**2/2 + 176*p. Let q(j) be the first derivative of x(j). Give m(q(w)). -60*w**2 Let z(o) = 52720*o. Let a(k) = 1247*k. What is z(a(x))? 65741840*x Let k(i) = -1292*i - 1131*i + 2423*i + 2*i**2 - 33 - 4*i**2. Let m(j) be the second derivative of j**4/12 - j. What is k(m(g))? -2*g**4 - 33 Let a(c) = 2*c - c - 15*c. Let k be ((-6)/8)/(((-975)/(-104))/(-25)). Let i(p) = 36*p**2 + 36*p**k - 73*p**2. Give a(i(l)). 14*l**2 Let d(z) = 56944859*z**2. Let h(w) = -3*w**2. Give d(h(m)). 512503731*m**4 Suppose 8*s = -3*a + 3*s + 29, -2*a - 10 = -4*s. Suppose a*w + 5*w = 520. Let p(k) = w*k**2 - 2148 + 2148. Let f(y) = -2*y. What is p(f(i))? 260*i**2 Let s(t) = -4*t**2. Let j(d) = 1098 - 3*d**2 - 431 - 324 + 5*d**2. Calculate j(s(f)). 32*f**4 + 343 Let z(d) = 219103*d**2. Let a(q) = -14*q**2. Calculate a(z(i)). -672085744526*i**4 Let u(m) = 2*m + 5*m + 2*m + 1. Let q(k) = -4*k + 294. Let n(i) = -6*i + 392. Let f(z) = -3*n(z) + 4*q(z). Determine f(u(b)). 18*b + 2 Let i(k) be the second derivative of k**3/2 + 9*k**2/2 + 6*k - 178. Let d(b) = -2*b. Give d(i(a)). -6*a - 18 Let z(n) = -n**2 + 64*n. Let r(a) = 14064326*a. Determine r(z(m)). -14064326*m**2 + 900116864*m Let w(r) = 67*r. Let p(n) = 451292*n. Determine p(w(s)). 30236564*s Let y(i) = -3384*i. Let x(f) = 462*f**2 - 14*f + 2. Calculate x(y(r)). 5290572672*r
{ "pile_set_name": "DM Mathematics" }
) -5 (c) -2/15 (d) 0.4 (e) -2 a What is the fourth biggest value in -7.3, 1/2, -4, -0.1, 0? -4 Which is the third biggest value? (a) 1/3 (b) 2 (c) -330 c Which is the second smallest value? (a) 1/4 (b) 29 (c) 2/5 c Which is the smallest value? (a) -2/19 (b) 6 (c) -1 (d) -3/7 c Which is the smallest value? (a) 0.169 (b) 3 (c) 0 (d) -0.5 (e) 0.1 d What is the smallest value in 0, -112, 0.02? -112 What is the second smallest value in 2/243, 2, -3? 2/243 Which is the second smallest value? (a) 3 (b) -3/5 (c) 709 (d) -1 b What is the second smallest value in -0.07, -14/9, 3, 0.1, -1/4? -1/4 What is the second smallest value in 4, -0.4, -1/298? -1/298 What is the second biggest value in -2/3, 23, 0.58? 0.58 What is the third biggest value in -1/3, -3, 3, 12/11? -1/3 Which is the biggest value? (a) 0 (b) -7 (c) 4/9 (d) -0.5 c Which is the biggest value? (a) -21 (b) 2 (c) 1/2 (d) -75 b Which is the second biggest value? (a) -0.5 (b) -0.3 (c) -12 (d) 0 b What is the third smallest value in 4, -5, 2, 0.1, 12? 2 What is the second smallest value in 0.4, -11, 0.1? 0.1 Which is the third biggest value? (a) -4/3 (b) 0.55 (c) -4 (d) -16/3 (e) 5 a What is the second biggest value in -33, -0.3, 3, 0? 0 What is the smallest value in -0.05, -0.7, -4? -4 What is the biggest value in -1, 4, -316? 4 What is the biggest value in -1/6, 4, 1/6, 14? 14 What is the smallest value in 2/29, 1, 18? 2/29 What is the third biggest value in -0.41, -5, 1? -5 What is the third smallest value in -2/13, -1.19, 1? 1 What is the biggest value in -2, 15/4, -0.3? 15/4 What is the biggest value in 4, -0.154, -2/11? 4 What is the second smallest value in 3, 8, -5, -1? -1 What is the smallest value in 0, 0.91, 4, -1/8? -1/8 What is the third biggest value in 602, 2, -1/3? -1/3 Which is the smallest value? (a) -2/11 (b) -2 (c) -38 (d) 25/4 c Which is the second biggest value? (a) -52 (b) -0.18 (c) 0.4 b What is the second smallest value in 30267, 2, -3? 2 What is the fourth smallest value in 15, 0.07, -3, -0.04? 15 Which is the second biggest value? (a) 1 (b) -29 (c) -5 c Which is the third biggest value? (a) 6/11 (b) -0.5 (c) 2/5 (d) 57/4 (e) -1 c What is the third biggest value in 5, -0.4, -3? -3 What is the biggest value in 11/8, -4, -2/7, 0? 11/8 Which is the third biggest value? (a) -13 (b) 1.4 (c) -1 a What is the second smallest value in 378, 1, 5, 2, -5? 1 What is the biggest value in 0.05, 0, 1, 0.1, 5? 5 What is the third smallest value in 0.4, 0.32, -165? 0.4 Which is the second biggest value? (a) -0.04 (b) -4 (c) 5 (d) 1.6 d Which is the fourth smallest value? (a) -3 (b) -1.25 (c) -2 (d) 2/25 d What is the second biggest value in -1/5, -0.05, 6/11, -5? -0.05 What is the third smallest value in -2.1, -3, 8? 8 Which is the fourth biggest value? (a) 7 (b) 0 (c) -0.1 (d) 11 c Which is the third smallest value? (a) -1 (b) 14/9 (c) -80 b Which is the fourth smallest value? (a) -2/27 (b) 7 (c) -2/3 (d) 4 b Which is the biggest value? (a) -77 (b) 1/4 (c) -1/4 b Which is the biggest value? (a) 7 (b) -3 (c) -2 (d) 2 (e) -1 a What is the second smallest value in -4, 34, -3/2? -3/2 Which is the third biggest value? (a) 3 (b) 14 (c) 2/9 (d) 0 c What is the smallest value in 5/4, -4/5, -5, 6? -5 What is the fourth smallest value in 7/3, -4/5, 2, 1? 7/3 What is the second smallest value in 2, 1/7, -0.9, 0.2? 1/7 Which is the second smallest value? (a) 0 (b) -1/8 (c) 59 a What is the third smallest value in 1, -0.1, 50/9? 50/9 Which is the third biggest value? (a) -0.1 (b) -1/5 (c) -4 (d) 4/3 b What is the smallest value in -1, -3, 1/3, -0.1, 2? -3 What is the third biggest value in -1292, 0.3, 5? -1292 What is the second biggest value in 18, 0.5, -5? 0.5 What is the biggest value in 5, 3/2, 67? 67 What is the smallest value in 5, 0, -27, -4? -27 What is the second biggest value in 0.059, -2/11, -1? -2/11 Which is the smallest value? (a) -4/7 (b) -1/7 (c) 1.6 (d) 2 (e) 1 a What is the biggest value in 0.5, -5, 18, 0.2, 5? 18 What is the second biggest value in 0.51, -0.7, -3, -2/7? -2/7 Which is the third biggest value? (a) -1 (b) 0 (c) -0.12 a Which is the third biggest value? (a) -1/5 (b) 0.03 (c) -3 (d) 3 (e) -402 a What is the fourth biggest value in -5, -3, -14, 3/4? -14 Which is the third biggest value? (a) -0.5 (b) 63 (c) 2/9 (d) 2/11 (e) -2/9 d Which is the fourth biggest value? (a) 0 (b) 1 (c) -2 (d) 2.8 (e) 2/3 a What is the fifth biggest value in 2, 5, -0.5, -3/5, 0.1? -3/5 What is the second biggest value in 307, 0.2, -1/2? 0.2 Which is the second smallest value? (a) -0.4 (b) 0.48 (c) 16 b Which is the fourth smallest value? (a) 1/2 (b) 2/9 (c) 21 (d) -74 (e) 2/7 a What is the third smallest value in 0.09, 0.05, -1/2? 0.09 What is the third smallest value in 81, 10, -10? 81 Which is the third biggest value? (a) 3 (b) 0.05 (c) -38/7 c What is the second biggest value in -0.3, 1.2, -5/6, 3? 1.2 What is the second smallest value in -1/2, 6/13, -0.4, -2/11? -0.4 What is the fourth smallest value in -40, -24, -0.3, -1? -0.3 Which is the second biggest value? (a) 1 (b) -1.5 (c) 0.4 (d) 6/7 (e) -0.3 d Which is the second biggest value? (a) 5930 (b) 2 (c) 4 c What is the second biggest value in -4, 0.1, 2, 3, 5? 3 What is the fourth smallest value in -2/3, -1, -49, 0.1, 0.5? 0.1 Which is the biggest value? (a) 4 (b) -220 (c) 2/3 a What is the fourth smallest value in -13, 4, 2, 5? 5 What is the second smallest value in 1/34, -4/13, 0.3? 1/34 What is the third biggest value in -91, -5, -0.5? -91 What is the third smallest value in 1, -2/3, 3/5, -0.4? 3/5 Which is the third biggest value? (a) -3/16 (b) 0.2 (c) 2/43 a Which is the second biggest value? (a) 5 (b) -1 (c) -14/5 (d) -1/3 d What is the biggest value in 0.3, 159, -2/7? 159 What is the second smallest value in -0.2, 0.1, 2/33? 2/33 Which is the third smallest value? (a) 1/11 (b) 11 (c) -6 b What is the fourth smallest value in 2, 3, -309, 0.1? 3 Which is the second biggest value? (a) 3 (b) -2/7 (c) -0.4 (d) 328 (e) 0.5 a What is the biggest value in 1, 0.01, -0.03? 1 What is the third biggest value in 0.37, 8, -7? -7 What is the fourth biggest value in 27, 3/35, 5, -0.4? -0.4 Which is the fifth biggest value? (a) -5 (b) 0.5 (c) -1 (d) 0.3 (e) 0.29 a Which is the third smallest value? (a) 4 (b) -4 (c) 2 (d) 2/7 c Which is the second biggest value? (a) -18 (b) -1 (c) -2 (d) 0 b Which is the second biggest value? (a) -3/55 (b) 0 (c) -1/4 a Which is the second biggest value? (a) 8 (b) -0.3 (c) -2 (d) -14 b Which is the biggest value? (a) -1/2 (b) -5 (c) 0.3 (d) 0.4 d Which is the smallest value? (a) 3 (b) -3/2 (c) -0.7 (d) 5 b What is the biggest value in 0.1, 0.172, -1? 0.172 What is the smallest value in -0.2, 1, 0.1? -0.2 What is the third biggest value in 0.27, -0.1, 2/15, 2/5, -3/8? 2/15 Which is the third smallest value? (a) 4 (b) -257 (c) -0.34 a Which is the second smallest value? (a) -4/3 (b) -5 (c) -4 (d) 79 c Which is the third biggest value? (a) 2 (b) 1 (c) -0.06 (d) -2 c What is the smallest value in 3/2, -1, 2.78? -1 What is the fifth smallest value in 4, -4/9, 5, -0.2, -229/5? 5 What is the third biggest value in -1, 5, 2/9, 1.9? 2/9 What is the fourth smallest value in 0, 3/8, -6.45, 1/2? 1/2 What is the third biggest value in 0, 2, -0.4, -89/5? -0.4 Which is the second smallest value? (a) 0.7 (b) 7 (c) -185 a Which is the biggest value? (a) -2 (b) 0 (c) -0.1742 b What is the third biggest value in -1/4, 7, 0.2, 3/2, 10? 3/2 Which is the smallest value? (a) -1.8 (b) -0.1 (c) 146/3 a Which is the biggest value? (a) -1.3 (b) -4 (c) -2 a What is the smallest value in -4, 1.69, 3/7? -4 What is the third smallest value in 2/5, 602, -1/4? 602 Which is the third biggest value? (a) 3 (b) 4 (c) 399 (d) -4 a What is the second smallest value in 0, -24, -4? -4 What is the fourth biggest value in -4, 2/81, 1.1, 0.3? -4 Which is the smallest value? (a) -1/10 (b) -0.3 (c) -578 c Which is the smallest value? (a) -4 (b) -5 (c) 0.1 (d) -2/15 b Which is the third biggest value? (a) -12 (b) -10 (c) -3 a Which is the
{ "pile_set_name": "DM Mathematics" }
r(2). Let u be (1 + 10/(-2))/1. Sort s, 1, u in decreasing order. 1, s, u Let p = 681/40 - 129/8. Let f = 12/5 - p. Sort 2/19, 0.2, f, 2/69 in descending order. f, 0.2, 2/19, 2/69 Suppose -4*j - 23 = 9. Let k be j/(-18) - 6/(-27). Let b = 9.827 - 5.827. Sort k, b, -5. -5, k, b Suppose 12 = 2*o - 2*m, -4*o - 5*m = -2*o + 2. Suppose 0 = -0*p + o*p + 5*d + 89, -5*p - d - 127 = 0. Let x = -31 - p. Put -3, 1, x in descending order. 1, -3, x Let s(k) = -6*k + 25. Let m be s(7). Let g = m + 22. Put 4, g, -5 in decreasing order. g, 4, -5 Let c = 476 + -477. Let v = 17 + -26. Let d = 14 + v. Sort d, -2, c in descending order. d, c, -2 Let m = 430.2 + -430. Put -1/4, m, 4/3, -16 in increasing order. -16, -1/4, m, 4/3 Let l(z) = -5*z + 1. Let k be l(-4). Suppose -5 = -3*t - b - 1, 2*t - b + 4 = 0. Suppose -7*d + 4*d = t. Put k, d, 5 in increasing order. d, 5, k Let p = -27 - -26. Let j = p - -3. Sort j, -4, 4 in descending order. 4, j, -4 Let z = 46.2 - 46.6. Let o = -4.1 + 0.1. Let j = -2 - -1.9. Put j, z, o in increasing order. o, z, j Let j = -22 + -5. Let s = 24 + j. Sort 2, s, -5, 3 in descending order. 3, 2, s, -5 Let o = 6 + -2. Let s(x) = x**3 - 60*x**2 - 324*x - 60. Let q be s(65). Sort q, o, 2 in decreasing order. q, o, 2 Let u = 0.61 + -0.7. Let v = u + 0.09. Put 15, 1/5, v in increasing order. v, 1/5, 15 Let w be -10 - 4/4*-4. Let y be 5/w*52/(-65). Let s be (2/(-4))/((-2)/12). Put s, -0.4, y in decreasing order. s, y, -0.4 Let j = 35 + -34.9. Let x(h) = -h**2 - 5*h + 2. Let i be x(-6). Sort i, j, 4/7 in descending order. 4/7, j, i Let s = -39/2 - -20. Let q = -0.06 + 5.06. Let p = -2.23 + 0.23. Sort p, q, s in decreasing order. q, s, p Let t = -5 + 79. Let d = 73 - t. Put -3/5, d, 0.1 in ascending order. d, -3/5, 0.1 Let z(c) = -c**2 + 16*c - 23. Let x be z(14). Suppose x*j - 15 = j - o, j + 3*o - 1 = 0. Let b be 10/14 + 4/14. Sort j, 5, b in ascending order. b, j, 5 Suppose -7*g = -26*g - 76. Sort g, -19, 3, -3 in decreasing order. 3, -3, g, -19 Let f = 5.9 - 0.9. Let n = -0.2 - 0.1. Sort f, n, 1/10 in descending order. f, 1/10, n Let t = 0.0034 + -13.0034. Sort 0.2, t, -2/9. t, -2/9, 0.2 Let m = -1481 - -1480.7. Let k = 0.8 - 0.4. Sort k, 1/2, 4, m in ascending order. m, k, 1/2, 4 Let y = 54 - 53.75. Let r = -0.15 - y. Sort 0.2, -2/3, r in decreasing order. 0.2, r, -2/3 Let q = 7 - 7.3. Let h = -1.9616 - 0.0384. Sort h, 0, 2/17, q in decreasing order. 2/17, 0, q, h Let y = 6525 - 32224/5. Let r = y - 80. Put -13, r, 1/4, 5 in ascending order. -13, r, 1/4, 5 Let f = 29 - 21. Suppose -4*k + 24 = -4*t - f, 2*t + 2*k = -4. Let u be (25/(-40))/(2 - (-119)/(-56)). Put 0, u, t in descending order. u, 0, t Let c(r) = -r**2 - 5*r + 3. Let v be c(-5). Let x(w) = 28*w - 82. Let i be x(3). Suppose i*z + 5*q = -7, 0 = v*q - q + 6. Put z, -5, 1 in descending order. z, 1, -5 Let c = 52 - 52.1. Let d = 0.4 + 1.9. Let q = d - 2. Sort c, q, -1/4 in decreasing order. q, c, -1/4 Let h(r) = r**3 + 6*r**2 + 4*r + 1. Let k be h(-5). Let m be (-14)/k + (-2)/3. Sort m, 3, 1 in increasing order. m, 1, 3 Let s = 11 + -14. Let q = 42 - 46. Let p = s - q. Sort -2/5, -0.5, p in decreasing order. p, -2/5, -0.5 Let s = -224 + 225. Put -8, -5, s, 0 in descending order. s, 0, -5, -8 Suppose 0 = -4*d + 4*j - 12, 5*d - 2*j = 7*d - 10. Sort d, 0, 265 in ascending order. 0, d, 265 Let d be (2 + -2)/(-3 - -2). Let i = 7 + -10. Put i, 1, d, -0.3 in decreasing order. 1, d, -0.3, i Let m(c) = 2*c + 3. Let k be m(0). Suppose -6 = -k*g + 6. Suppose q = 5 - g. Sort -4, q, -1 in ascending order. -4, -1, q Suppose 3*b - 3 = -3*i - 18, -20 = 4*i - 5*b. Let r(f) be the first derivative of f**4/4 + 5*f**3/3 - 3*f**2 + 4*f - 4. Let m be r(-6). Sort i, m, 1. i, 1, m Let b = -90 - -47. Let m = -46 - b. Put 3, m, 12/5 in ascending order. m, 12/5, 3 Suppose 0 = -12*x + 5*x + 14. Let u be (-12)/x*(1 - 15/6). Sort u, 4, 2, -1 in descending order. u, 4, 2, -1 Let h = -23 - -20. Sort -1, -73, 5, h in descending order. 5, -1, h, -73 Let a be (-6)/(-4) - 6/(-4). Suppose 0*y = -5*y + a*z, 0 = 3*y - z - 4. Suppose 2*w = -3*f - 15, 5*w + 18 = -0*f - f. Sort y, w, -1 in increasing order. w, -1, y Let w be ((-2)/4*1)/(1/12). Suppose 5*l = -0*l + 15. Sort l, w, 2, -5 in decreasing order. l, 2, -5, w Let g be -2 - (-2 - -4)/(-1). Let o be g - 2 - (-919)/8. Let k = o + -113. Sort 0, 4, k in decreasing order. 4, 0, k Let v(b) = -6*b**3 + 2*b**2 - 3*b + 2. Suppose -4 = -2*j - 2. Let i be v(j). Put i, 5, 0 in increasing order. i, 0, 5 Let o = 847 + -841. Sort -5, -3, -31, o in ascending order. -31, -5, -3, o Suppose -9*c + 3*c = 6. Put 5, 2, c, 6 in descending order. 6, 5, 2, c Let z be ((-2)/18)/(80/180). Sort z, 0.4, 0.29. z, 0.29, 0.4 Let f be (1/(-9))/(9/(-54)). Put 1/7, -3, -13, f in increasing order. -13, -3, 1/7, f Let v(r) = 2*r**3 + 52*r**2 + 2*r + 38. Let p be v(-26). Sort -3, -6, p, -2. p, -6, -3, -2 Suppose 34 = 4*y - 46. Suppose -15*p + 10*p = y. Sort 2, p, 1, -5 in descending order. 2, 1, p, -5 Let n = -164 - -163. Sort n, -2/579, 1/4 in descending order. 1/4, -2/579, n Let r = -454 + 457. Put -20, -2, 1, r in ascending order. -20, -2, 1, r Let q(b) = -b**3 - 17*b**2 + 61*b + 23. Let s be q(-20). Sort 6, s, 0.6 in ascending order. 0.6, s, 6 Suppose -3*w - 3*d + 74 = 65, -w - 4*d + 12 = 0. Sort -2, w, -4 in descending order. w, -2, -4 Let k = -0.39 - 0.11. Sort 3, k, 9, 0 in decreasing order. 9, 3, 0, k Let m(j) = 22*j + 4 + 0*j**2 + j**2 - 2 - 5. Let t be m(-22). Put t, -5, -4, 0 in ascending order. -5, -4, t, 0 Let s = -14 + 9. Let w be (-8)/2 + -14 + 12. Let u = 6 - 5. Put u, s, w in increasing order. w, s, u Let i = -1100 + 5497/5. Let p = -0.03 + -10.97. Put -2/9, 0, p, i in descending order. 0, -2/9, i, p Suppose -3*p + 3*g - 9 = 0, 0*p - 5*p - 5*g = -5. Put 2, 3, p in increasing order. p, 2, 3 Let c be (-1 - -6)*(6/10 + 3). Suppose 21*j + c = 15*j. Put 4, -12, j, 1 in increasing order. -12, j, 1, 4 Suppose 0*o - 5*o + 2*c = -11, -o + c = -1. Suppose -3*f + 4*k + 30 = 0, -4*k - 217 + 191 = -f. Sort -4, f, o in descending order. o, f, -4 Let x = -718 - -715. Sort -5, 6, 2, x. -5, x, 2, 6 Let s be 0 + (-114)/24 + 1/(-4). Sort s, -1, 11. s, -1, 11 Let b = 1564/9 + -174. Suppose 4 = -o + 3. Sort 1/2, o, b in descending order. 1/2, b, o Let m(p) be the first derivative of p**2/2 + 13*p + 16. Let d be m(-8). Put 4, d, -4 in descending order. d, 4, -4 Let s = -1834 + 1835. Suppose 17 = -3*z - 5*c, c - 3*c + 18 = -5*z. Let i = -0.2 + -1.8. Sort s, i, z. z, i, s Let q = 433 - 432.5. Put 16/9, -0.5, 5, q in decreasing order. 5, 16/9, q, -0.5 Let y = 82 + -3363/41. Let h = y - 37/164. Sort 2, h, 10 in increasing order. h, 2, 10 Let s(j) = -j**3 - 3*j**2 + 5*j + 3. Let b be s(-4). Let l be 3/(b - (-8 + 4)). Put 2, -14, l in ascending order. -14, l, 2 Suppose -3*m - 6 = 3*x, 2*x = -0*m + 4*m + 8. Let y = 16.5 + 0.5. Let q = y - 21. Sort 2/11, q, x in decreasing order. 2/11, x, q Let c(o) = o**3 + 4*o**2 - 2*o + 10. Let d be c(-5). Put 2, -2, 1, d in descending order. 2, 1, -2, d Let l = -1018 + 1021. Put l, -0.5, -1/5, 6/11 in ascending order. -0.5, -1/5, 6/11, l Let a = 21.28 + -21.1. Sort 4, 1, a in ascending order. a, 1, 4 Suppose 6*a - 13 - 17 = 0. Let n = -51 - -50. Sort 4, a, n, 6. n, 4, a, 6 Let p(x) = -x**2 - 16*x - 30. Let q be p(-6). Let f(y) = -y**2 + 12*y - 6. Let m be f(11). Sort -4, m, q, -3 in ascending order. -4, -3, m, q Let b = -57 - -50. Let h = b + 9. Let u be 0 + -5 + -1 + 1. Sort h, u, -2 in decreasing order. h, -2, u Let u = -51 + 57.6. Let p = u - 1.6. Let j = 2 + -2.2. Sort p, -0.3, j in descending order. p, j, -0.3 Let x = -0.91 + 0.11. Let p = 1.8 + -0.1. Let k = -1.5 + p. Sort x, k, 1/3. x, k, 1/3 Let r(a) = a**2 - 2*a - 15. Let n be r(5). Let o(z) = 2*z + 30. Let j be o(-17). Sort j, n, -5, 5. -5, j, n, 5 Let a(c) = 12*c - 348. Let q be a(29). Suppose 0 = -v - 0 - 4. Sort q, v, -5 in decreasing order. q, v, -5 Suppose 24 = -3*c + 3*l, 3*c - 5*l + 37 = -c. Let f = 0.2 + -1.2. Sort f, c, -8. -8, c, f Suppose 125 = -3*a + 119. Sort a, 2, -4 in decreasing order. 2, a, -4 Let j = 0 + -3. Let r(w) = w**3 + 5*w**2 - 7*w - 46. Let y be r(-4). Sort j, y, 4 in descending order. 4, y, j Let z be (-48)/(12/(-8) - 0). Let x be (-6)/(-8) + (-88)/z. Let v be (7 - 4)/((-3)/x). Sort -3,
{ "pile_set_name": "DM Mathematics" }
. Is l >= o? False Let n(j) = j**3 - 15*j**2 + 871 + 0*j**3 - 3*j - 850. Let a be n(15). Which is greater: -23 or a? -23 Let h(z) = -z**2 + 6*z + 1. Suppose -2*n = n - 18. Let r be h(n). Suppose 5*y = -3*d - 18, 4*d - 9 = 4*y - r. Is 1/18 < d? False Let q = 0.187 - -0.113. Is q greater than or equal to -40? True Let r = -118.1 + 123. Let x = r - 5. Let z be 40/77 - 78/182. Which is smaller: x or z? x Suppose 2*y - 233 = -817. Is y smaller than -293? False Suppose 35 + 19 = 2*x. Suppose -v - 12 = -6. Let c be 3 + 21*v/x. Which is greater: c or -2? c Let d(x) = 64*x**3 - x**2 + x + 3. Let n be d(-1). Let r = 253/4 + n. Is r equal to 5/7? False Suppose 0 = 2*z + z - 6. Suppose -z*q = -0*q. Suppose 5*u = -3*v + 10, q*v + v - 4 = -u. Which is smaller: -2 or u? -2 Suppose -4*l = -849 + 93. Let y = l - 5101/27. Which is bigger: 0 or y? y Suppose -x - 1 - 3 = 0. Let l be 0 + (-5)/((-30)/x). Let t be (-4)/((-6)/(12/(-10))). Which is smaller: t or l? t Let a(z) = 2*z**3 + 10*z**2 + z - 7. Let w be a(-5). Which is smaller: w or -13? -13 Suppose 4*p - l = 8, -l - 1 = 5*p - 2. Which is smaller: p or -1/2520? -1/2520 Let k = -0.56 + 0.26. Let q(w) = -w**2 + 9*w + 5. Let y be q(9). Which is smaller: y or k? k Suppose -4 = 5*q + 7*z - 6*z, 4*z = -2*q + 2. Do q and 3/139 have different values? True Suppose -16*k + 10*k + 12 = 0. Let c be ((-45)/18)/((-1)/k). Which is bigger: 33/7 or c? c Let t(n) = -n**2 - 8*n - 17. Let j be t(-3). Suppose s + 3 = 0, -k + 3*s = -0*s - 7. Is k less than j? False Let v = -7 - -14. Let m be 11 - (7 + -3 - v). Which is smaller: m or 11? 11 Suppose -4*q = 3*u - 94, -4*u - 4*q + 145 - 17 = 0. Which is smaller: u or 31? 31 Let k(u) = -22*u**2 - 4*u - 3. Let h be k(-2). Let l = 81 + h. Let z = 3 - 6. Is z at least l? False Let z = 9.96 - 96.66. Which is smaller: z or 1? z Suppose -27 = -4*k - 3*d, -5*d - 6 = -k - 5. Let h be 1300/480 - k/16. Let g = -6 - -9. Is g greater than h? True Suppose 7 = 15*c - 23. Let d = -2.2 + 0.2. Let l = 1 - d. Which is smaller: l or c? c Suppose -5*l + 4 + 1 = 0. Let v = -1 + l. Suppose v*o - 40 = -4*o. Is o at most 9? False Suppose -36*y + 39*y - 1101 = 0. Is 4/7 smaller than y? True Let i(r) = r + 7. Let c be i(-4). Suppose c*f = 2*f - 2*f. Let w be (-2)/(-9) - 38/(-72). Which is bigger: w or f? w Let c = 22.63 + -23.7. Let k = 0.07 + c. Suppose 0 = 4*g + 4*n - 64, 5*g + 3*n - 29 - 41 = 0. Which is bigger: k or g? g Let d = 7 + -23/3. Let m(s) = 7*s**3 + s**2 + 4*s + 2. Let i be m(-2). Let j = i - -62. Which is greater: j or d? j Let v = -10.23 - -0.23. Suppose 3*r + 3 = -h + 2*r, -2*h + 4*r = 0. Is v greater than h? False Let c = 1244 + -1210. Suppose -4*f + 12 = -120. Is f <= c? True Let m = -4.29 - 134.71. Which is smaller: -2/7 or m? m Let x(n) = -n**3 + 8*n**2 - 10*n + 11. Let m be x(9). Let r = m - -3362/21. Suppose 0 = 3*z + k - 3, 5*z - z - 2*k = 4. Is r less than or equal to z? True Let i = 2 + -3. Let n = 6 + 0. Suppose 0 = n*u - 3*u + 3. Is i != u? False Suppose -3*i = -2*k + 11, -4 = k - 5*i - 20. Which is greater: k or 3? 3 Suppose 4 = t + t. Suppose 5*o = -j + 8*o - 1, -2*o - t = -2*j. Let p be -1*(-2)/2 + 2. Which is bigger: j or p? p Let z be 10/(-7368)*(364/(-65))/14. Is 0 equal to z? False Let f = 46 + -39. Suppose -11*o = -f*o + 148. Is -37 greater than o? False Let n = 92 + -49. Let l = 15 - n. Let y = 29 + l. Which is bigger: 0.05 or y? y Let q = -217.5 - -206.2. Which is smaller: -2/3 or q? q Let m be -7*((-4)/8)/(7/(-36)). Is -96/5 at most m? True Let x be (36/5)/((-24)/(-60)). Let y = 19 - x. Let a be 3 + (-368)/62 + 3. Which is bigger: y or a? y Let h be (1 - (-9 - -6)) + 2 + -6. Which is smaller: -3/173 or h? -3/173 Let c = 1035 + -1034. Which is smaller: c or -3/244? -3/244 Let x be (-8)/3486*(-948)/114. Let c = -2/399 - x. Is 1 < c? False Let c(o) = -6*o + 62. Let v be c(9). Which is bigger: v or 9? 9 Let q be (-2)/3*(1 - -2). Let u(y) = -y**3 - 3*y**2 - 2*y + 2. Let s be u(q). Suppose -4*w + s*w = -14. Which is greater: 9 or w? 9 Suppose -5 = -6*y + 7. Let r be 4*y/16*-34. Is r at least as big as -17? True Let c(p) = p**2 - 5*p + 2. Let x(h) = -3*h**2 + 15*h - 7. Let f(q) = -7*c(q) - 2*x(q). Let w be f(5). Do -1 and w have the same value? False Let d = 1219 - 1218. Is d > 1/791? True Let x = 111 + -106. Is x >= 5? True Let m = 7 + 10. Let a = -2428 - -2426. Is a less than m? True Let u = 17/14 - 3/2. Let v = -8.3 - 1.7. Let j = v + 14. Which is bigger: j or u? j Let t(m) = -m + 8. Let y be t(-10). Suppose -b = 2*b - y. Let n = b + -8. Is n smaller than 2/9? True Suppose -5*y - 79 = 21. Suppose 26249*i - 26252*i - 66 = 0. Which is bigger: y or i? y Suppose 0 = 4*m + 22 - 22. Is m < 5/12? True Suppose -8 = -3*q - n, -5*q + 22 = 3*n + 2. Let a be q/(-4) - 76/16. Let o = -5 - 1. Which is greater: o or a? a Let u(g) = 6*g + 44. Let q be u(7). Let p = q - 432/5. Which is smaller: p or 0.3? p Let t be ((1 - 2) + 0)/((-9)/(-459)). Let s be 5/20 + t/156. Which is smaller: s or 1? s Suppose -2*x + 2 = 0, 18*y - x = 23*y - 1. Is y bigger than 0? False Let u = -40092891/164 - -244468. Let h = u - -4/41. Does -2 = h? False Suppose -s + 4 = 4*g, 4*s + 20 = -s. Let z be (-340)/555 + g/3. Is z less than 1? True Let i(z) = -z**3 - 14*z**2 - 17*z - 29. Let x(l) = l + 1. Let t(p) = -i(p) - 2*x(p). Let w be t(-13). Is w <= 2/35? False Suppose -6*b = -3*b, 0 = -3*v + 5*b - 1899. Which is smaller: v or -632? v Let m be -3 - (636/(-634) + -2). Which is bigger: 1 or m? 1 Let d = -415 - -5385/13. Let a = 2 + -2. Which is bigger: d or a? a Let n = 419.8 + -420. Which is greater: 1/97 or n? 1/97 Let n = 757 + -741. Is -53 bigger than n? False Let s be (-24)/(-14)*(9 + -16). Suppose 43 + 1 = -4*u. Let g = u - s. Which is bigger: g or 0? g Let k = 198 + -363. Let n be -1*(-1)/(k/3). Is 1 less than n? False Let x = 0.021242 - 0.021242. Let h = 4.7 + -6. Let t = h + 3.9. Which is smaller: t or x? x Suppose -3*d + 3 = -5*o, 3*d - 3*o + 8*o = -27. Suppose 0 = h + k - 121, -3*h - 2*k + 161 = -207. Let m be (-372)/h + (-4)/(-14). Are m and d equal? False Let n = -33 - -33. Suppose n = 4*a + 2*h - 10, -2*a - 4*h = 2*a - 20. Is 7/6 not equal to a? True Suppose -13 - 2 = -3*i. Suppose -3*m = -i*m. Suppose m = z + 2. Which is smaller: -6/11 or z? z Let w(a) = -a**3 - 8*a**2 - 9*a - 10. Let b be w(-7). Let d(v) = -v**2 - 2 - 2 + 0 + 3*v + 2*v. Let x be d(b). Which is greater: x or 2/51? 2/51 Let c(t) = 2*t - 11. Let g be c(0). Let o = 8 + g. Let s be o + 7 - 3 - 2. Which is bigger: s or -2/13? -2/13 Suppose 6*t - t = u - 17, 0 = -4*t + 2*u - 16. Let o be (1/t)/((-5)/(-40)). Is o equal to -2? False Let z = 452 + -453. Is 5/22 greater than z? True Let o be (-6)/(-4)*(-18 + 10 + 14). Which is bigger: o or 81/10? o Let x = 11/15 - 2/5. Let s = 340 - 198. Let w = s + -2696/19. Which is smaller: w or x? w Suppose 2*g - 71 = -3*l, l - 33 + 8 = -2*g. Suppose 0 = 8*d - 25 - l. Which is bigger: 29/5 or d? d Let v(y) = y**2 + 9*y - 10. Let a be v(-10). Suppose 5*k + 1 + 9 = a. Let l be k - -1 - (-5 + -8). Which is bigger: 11 or l? l Let g = 377 - 350. Is -2 greater than g? False Suppose -5*u - t = -38, -2*t + 6 = -5*t. Suppose -u*z = -6*z. Let c(p) = p + 1. Let i be c(-9). Which is bigger: i or z? z Suppose -11*h - b = -9*h + 4, 2*h - 4*b = 16. Which is bigger: h or -28/23? h Let z = 389 + -389.706. Let j = -0.006 - z. Which is greater: j or 2? 2 Let l(j) = j**3 - 15*j**2 + 58*j - 17. Let m be l(8). Which is smaller: m or 11/24? m Let r(d) = 51*d**2 - 2*d - 2. Let a be r(-1). Let i = 52 - a. Which is greater: 3/16 or i? i Suppose 3*a + 3*r = 1 + 2, -r = -2*a - 13. Let s be ((-75)/385 - a/14)*18. Which is smaller: s or 1? 1 Let o(c) = 0*c**2 + c**2 + 7*c - c**2 - 11 - c**2. Suppose u = -2 + 7. Let z be o(u). Is -3/7 equal to z? False Let l = 4 - 134. Let f be 8*3/l*30/9. Which is greater: f or -1? f Let z(o) = -2*o**3 - 2*o**2 - 5*o - 6. Let n be z(-2). Suppose n*r = -15 + 3. Is r at most 4/13? True Let u = 510 + -516. Which is greater: 2 or u? 2 Let h be ((-1)/((-13)/(-4)))/2. Let m = -360 - -359. Which is smaller: h or m? m Let l be (-4)/(-24)*-3*(9 + -11). Which is smaller: l or 10/233? 10/233 Let s = 1171.13 + -1171. Which is smaller: s or 2? s Let a(u) = 5*u. Let i be a(2). Let c = 38 + -32. Let l be (-5)/c - (-9)/
{ "pile_set_name": "DM Mathematics" }
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263 What is 7917938 to the power of 1/5, to the nearest integer? 24 What is 7403103855 to the power of 1/6, to the nearest integer? 44 What is the third root of 2451662705 to the nearest integer? 1348 What is the square root of 292150416 to the nearest integer? 17092 What is 52724249 to the power of 1/2, to the nearest integer? 7261 What is the square root of 285651277 to the nearest integer? 16901 What is 673118826 to the power of 1/3, to the nearest integer? 876 What is 4428135250 to the power of 1/2, to the nearest integer? 66544 What is the eighth root of 53398435 to the nearest integer? 9 What is the third root of 115407562 to the nearest integer? 487 What is 635772451 to the power of 1/2, to the nearest integer? 25215 What is 108064762 to the power of 1/2, to the nearest integer? 10395 What is the cube root of 804842241 to the nearest integer? 930 What is the ninth root of 5410711145 to the nearest integer? 12 What is 1245784437 to the power of 1/7, to the nearest integer? 20 What is 222162459 to the power of 1/7, to the nearest integer? 16 What is the square root of 22515569 to the nearest integer? 4745 What is 2598697741 to the power of 1/7, to the nearest integer? 22 What is 7179627 to the power of 1/4, to the nearest integer? 52 What is the fifth root of 6556304666 to the nearest integer? 92 What is 72045413 to the power of 1/4, to the nearest integer? 92 What is 78843398 to the power of 1/5, to the nearest integer? 38 What is 32321941 to the power of 1/3, to the nearest integer? 319 What is 19908074 to the power of 1/3, to the nearest integer? 271 What is the eighth root of 130093885 to the nearest integer? 10 What is the third root of 101956000 to the nearest integer? 467 What is the fifth root of 882601637 to the nearest integer? 62 What is the third root of 1890835857 to the nearest integer? 1237 What is 1226156193 to the power of 1/2, to the nearest integer? 35017 What is 673215449 to the power of 1/7, to the nearest integer? 18 What is the square root of 8438316677 to the nearest integer? 91860 What is 936127470 to the power of 1/9, to the nearest integer? 10 What is the ninth root of 1422545956 to the nearest integer? 10 What is 26221783 to the power of 1/2, to the nearest integer? 5121 What is 2343529835 to the power of 1/10, to the nearest integer? 9 What is the fourth root of 594925118 to the nearest integer? 156 What is 2311846740 to the power of 1/5, to the nearest integer? 75 What is the square root of 1237762789 to the nearest integer? 35182 What is the cube root of 434450653 to the nearest integer? 757 What is 53706132 to the power of 1/5, to the nearest integer? 35 What is the fifth root of 43372316 to the nearest integer? 34 What is the ninth root of 716017725 to the nearest integer? 10 What is the tenth root of 4733426300 to the nearest integer? 9 What is the fourth root of 273367675 to the nearest integer? 129 What is 11466014 to the power of 1/3, to the nearest integer? 225 What is the cube root of 6431431 to the nearest integer? 186 What is the seventh root of 440355816 to the nearest integer? 17 What is the square root of 36680037 to the nearest integer? 6056 What is the seventh root of 28267333 to the nearest integer? 12 What is 105083169 to the power of 1/7, to the nearest integer? 14 What is the fifth root of 20980939 to the nearest integer? 29 What is the square root of 65346125 to the nearest integer? 8084 What is the sixth root of 3727518724 to the nearest integer? 39 What is 121368416 to the power of 1/3, to the nearest integer? 495 What is the third root of 21147207 to the nearest integer? 277 What is the square root of 608327239 to the nearest integer? 24664 What is the square root of 151177166 to the nearest integer? 12295 What is the third root of 3482982975 to the nearest integer? 1516 What is the fourth root of 3503090497 to the nearest integer? 243 What is the cube root of 2915870007 to the nearest integer? 1429 What is the fourth root of 1508961176 to the nearest integer? 197 What is 187636695 to the power of 1/2, to the nearest integer? 13698 What is the third root of 456309400 to the nearest integer? 770 What is 437030631 to the power of 1/5, to the nearest integer? 53 What is the fifth root of 522642160 to the nearest integer? 55 What is 190316294 to the power of 1/8, to the nearest integer? 11 What is 23235751 to the power of 1/6, to the nearest integer? 17 What is the third root of 202389629 to the nearest integer? 587 What is the ninth root of 838806788 to the nearest integer? 10 What is the square root of 3571790582 to the nearest integer? 59764 What is the cube root of 71486595 to the nearest integer? 415 What is the square root of 452653793 to the nearest integer? 21276 What is the fourth root of 517032158 to the nearest integer? 151 What is the cube root of 394676596 to the nearest integer? 734 What is the third root of 3379097919 to the nearest integer? 1501 What is 3435947166 to the power of 1/7, to the nearest integer? 23 What is 7567718 to the power of 1/2, to the nearest integer? 2751 What is 216306
{ "pile_set_name": "DM Mathematics" }
-700.229 + 700. Let i = k - -0.219. Which is bigger: -46 or i? i Let b be (-4)/(-10) + -76*81/90. Is 21 greater than or equal to b? True Let r be (0 + -1)*(-5)/35 - 32/28. Is r equal to -86/95? False Suppose -2*m + 2*t + 0 + 18 = 0, -5*m - 5*t = 5. Let k = -128099/11 - -11649. Which is smaller: k or m? k Let m = -188.557 + -0.443. Let c = -189 - m. Is c less than or equal to -1.2? False Suppose 4*x = 3*c + 1349, -x + 5*c = -3*x + 681. Let v = 336 - x. Let g be 3/(27/(-31)) + 1. Is g at most v? True Suppose -c + 3 = 4. Let h be ((30656/(-153408))/((-1)/(-15)) - 2) + 5. Which is smaller: h or c? c Let k = -194 - -196. Let x = k - 0. Is -5 greater than x? False Let t = -212.0559 + 0.0559. Let c = t + 211.703. Which is bigger: c or 2/9? 2/9 Suppose -5*x = -3*p - 30144, -4*p = -2*p + 6. Suppose -x = 7*o - 1974. Which is smaller: -580 or o? -580 Let n be ((4/(-10))/1)/((-4)/620). Suppose n = -7*i + 258. Suppose -3*j + 1 = -o, 7*o = 3*o + 4*j - i. Do -9 and o have the same value? False Let h = 1679 - 2543. Let r be 2*9/h*-6. Which is bigger: r or 1? 1 Suppose -6 = -2*a - 2. Suppose 0 = -d - g - 39, -3*d - 155 = a*d - 3*g. Let r = 34 + d. Which is smaller: -2/21 or r? -2/21 Let t = -11150 + 11098. Is -0.04 at most as big as t? False Suppose -36*d + 2 = -67*d + 29*d. Are -24/175 and d non-equal? True Let w(b) = b**3 + 3*b**2 - 5*b - 5. Let t(a) = a**3 + a - 3. Let s be t(0). Let l be w(s). Let d be 5*(l/25 - 33/105). Is d at most as big as 0? False Let x = 4236.1 + -4041. Let z = x + -195. Is z <= 4.2? True Let u be ((-3)/2)/(2622/(-552)). Let p be (-18)/(-15) + 1/(-5). Which is smaller: u or p? u Let s be (-3)/((-84)/(-16))*(1 + 33/(-6)). Suppose -5*m = 2*r - 14, -2*m + 14 = -3*r + r. Is s != m? True Let g be ((-1)/12*-2)/((-3)/(-18)). Let k(d) = 9*d + 3. Let x be k(g). Suppose -16*q = -14*q - x. Which is bigger: q or 8? 8 Let h be 0 + 55/(-11) - (-16 + 0). Let c(g) = -g**3 + 13*g**2 - 12*g + 4. Let u be c(12). Suppose 5*m - d = -3*d + 13, 0 = -4*m - u*d + 8. Is m at most h? True Suppose -3*z + 6 = -z. Suppose 4*d + 17 = n, z*n - 23 = -2*d + 42. Let f be (-2)/n*8/((-560)/15). Which is greater: -1 or f? f Let n = 40569/91 - 3118/7. Which is bigger: 7 or n? 7 Let h = -12138 + 35545/3. Which is smaller: h or -289? h Let s = 196672715/1507792 + -6/94237. Is 129 smaller than s? True Suppose -9*q - 288 = -33*q. Suppose -q + 10 = -2*l. Let c = -191/9 + 21. Is l <= c? False Suppose 3*g - 5*j = 922, j = -g - 0*g + 318. Let b = 295 - g. Which is greater: b or -18? -18 Let p = 27408 + -27409. Which is smaller: p or -79/99? p Let c(m) = m**3 - m**2 + m - 1. Let k(r) = 4*r**3 + r**2 + r - 15. Let b(q) = -5*c(q) + k(q). Let n be b(5). Let x be ((-4)/6)/(24/(-9) - n). Is x at least -2? True Let c = -3762 + 3762.3819. Are c and 1 equal? False Let b = -115 - 63. Let z = 166 + b. Is -13 < z? True Let g = -5623 + 483547/86. Is g not equal to 1? True Let c = -132 - -130. Let q be 75 - ((0 - 1) + c). Suppose 12*b + q = 9*b. Is -74/3 greater than b? True Suppose 3 = 34*c - 14 - 17. Let b be (0 - 34/37) + 1. Is b greater than or equal to c? False Suppose -1341 + 225 = 4*n. Let o = n + 148. Is o at least -133? True Let c = 2523 - 2522. Which is smaller: 2915 or c? c Let f be (-1)/8079*((-50)/9 + 136/(-306)). Is -1 not equal to f? True Let c be (58 + 18 - -14)/(3 + 172/(-58)). Which is smaller: c or 2613? c Suppose 86*o + 38893 = 195671. Is o greater than or equal to 1826? False Let c = -5.22 + 8.11. Let z = -2.39 + c. Which is bigger: z or 0.1? z Let g be 53/(-2)*(-3 - 2/(-2)). Let r = g - 93. Are -41 and r unequal? True Suppose m - 3*k = 97 + 51, -3*k = -3*m + 462. Do m and 157 have the same value? True Suppose 0 = 33*v + 8*v + 4*v + 30465. Let k = 827282 - 9107555/11. Let n = v - k. Is n at most as big as 2? True Let g = -1639/59 - -1365556/49265. Is 1 bigger than g? True Let k = 922.6 + -925. Which is smaller: -0.05 or k? k Suppose 0*w = 19*w + 23484. Let f = 16035/13 + w. Which is greater: -3 or f? f Let c = -18.65 - -18.45. Which is bigger: 1.207 or c? 1.207 Let a = 345 - 5867/17. Let v be ((-9)/12)/(23/(-12) - -2). Let k be v/(-24)*-2*36/(-135). Which is greater: a or k? k Let c = -1.455 + -146.645. Let s = 161.32 + c. Let f = 1.22 - s. Which is bigger: -2/3 or f? -2/3 Let g(o) = 2*o**2 - 45*o + 19. Let z(q) = 4*q**2 - 91*q + 38. Let f(p) = 9*g(p) - 4*z(p). Let r be f(20). Does r = 6/41? False Let p = 497.9 + -504.1. Are 2.5 and p non-equal? True Let b(v) = 489*v**2 - 30*v - 32. Let j be b(-1). Which is bigger: 488 or j? 488 Let l = -23 - -42. Let p = -80 + l. Let x = -65 - p. Is x at most -7? False Let f = -21 + 29. Let t = -6.2 + -3.8. Let s = f + t. Which is bigger: -10 or s? s Suppose g - 33 = -30. Let i be (-153)/45 - (g/5 - 1). Which is greater: i or -18/7? -18/7 Let t(p) = -6*p**3 + 49*p**2 - p - 16. Let k be t(8). Let d = 54 + -15. Which is smaller: k or d? d Let y = 48704/9 + -5410. Which is smaller: y or 7.5? y Let z be 17355/(-21225) - (30/40)/(15/(-16)). Is 1 <= z? False Let y(h) = 6*h**3 - h**2 + h. Let v be y(1). Suppose -v*z - 30 = -3*z. Let a be 638/10 + ((-6)/z)/3. Which is smaller: a or 63? 63 Let g = -8 - -8. Let k be ((-2)/3 - 0) + (-8)/(-3). Suppose k*n + 60 = 58. Are n and g non-equal? True Let c = 1265879/220 - 5754. Let y = 3 + -2. Which is smaller: y or c? c Let q be 5*16/(-40) - -3. Is 34/75 greater than q? False Suppose 0*f + 1 = -5*f + y, -4*f + 3*y = 3. Suppose f = -5*h + 9*h - 40. Suppose 2*i = h, 5*c + 5*i = 22 + 3. Is -1/60 != c? True Suppose 4*i = 5*i + 2*g - 117, 0 = -3*i - 4*g + 357. Let d be (-8)/(288/i) - -4. Which is bigger: 1 or d? 1 Suppose 3*s + 232 = 5*c, 3*c - 3*s = 2*s + 152. Suppose -5*i + 271 + c = 0. Let h = -48 + i. Are 10 and h equal? False Let u be 288/240 - (1 - (-981402)/30345). Let p = 225/7 + u. Is 0 less than p? True Let r be 60/(-78)*-13 - (-3828 - -1). Is 3838 greater than r? True Let b be (-15)/(-5) - (-102)/(-10) - (9 - 16). Which is greater: -2474/9 or b? b Let y(r) = 2*r**3 + 79*r**2 - 42*r - 81. Let z be y(-40). Which is smaller: z or -1/6808? z Let m be (142/(-4))/(627/(-12)). Let h be 8/10*715/247. Let r = m - h. Are r and -1 nonequal? True Let h = 239401 - 239401. Let w be (-244)/(-2) + 0/(-2). Suppose -4*c + 10 = -w. Which is bigger: h or c? c Let i be -2*35/14*(-62)/10. Let w(l) = -2*l**2 + 2*l**2 - l**2 - i + 20*l + 0*l. Let v be w(17). Is v less than or equal to -1? False Suppose 15*c - 19 = 16*c. Let t = c - -21. Let v be (-11)/(-11) + t/8. Which is smaller: 0 or v? 0 Let u = 185.9 + -186. Let g = 562.397 - 0.397. Is u smaller than g? True Suppose 7*y - 2*y = -25, 3*y = -3*p + 45. Let c be 8/6*(-10 + (-2010)/(-84)). Is p less than c? False Suppose -8*i + 28 = -4. Suppose -4*j = 4*b - 8*j - 12, -i*j = -5*b + 15. Which is bigger: 19/6 or b? 19/6 Let n(t) = -9*t - 12. Let l be n(-1). Let a be (0 - l)/((-66)/48 - -1). Let h = 12 - 20. Is h equal to a? True Let k be (-1)/2*(11 - -196)/((-12)/(-104)). Do k and -898 have the same value? False Let i = 54 - 27. Let f be (-1 - i)*2*3/(-12). Let b be (-21)/f*(2 + 0 + -4). Is b bigger than -13? True Let t = 18 - 18.55. Let m be 144/60*35/(-210). Is t < m? True Let l be (-4 + 2)/(28/5). Let u(i) = 76*i - 1597. Let n be u(21). Are n and l nonequal? True Let q = -1.251 - 0.129. Let c = q - -1.47. Let m = -6 + 4. Which is smaller: c or m? m Suppose -10*u + 48 = 2*u. Let i be ((-4)/(-9))/(u - (-189)/(-45)). Which is greater: i or -0.4? -0.4 Let m = -569 - 1019. Which is smaller: -1590 or m? -1590 Let h be ((-4)/(-22) + 0)*1991/88. Let m = h - 19/4. Is m at most 0? True Let g = -9625 + 9611. Is g at least 2? False Let z be (-7)/(357/(-156)) - 3. Let o = -162 - -161. Which is greater: z or o? z Let y = -6325 - -37819/6. Which is smaller: y or -23? -23 Let g = -211 + 1897/9. Suppose -2*x - 8 = h + x, 2*h + 3*x = -4. Suppose 2*t = h*t. Which is greater: g or t? t Suppose -464 + 61 = 13*j. Which is bigger: 1/20 or j? 1/20 Suppose 0 = -5*y + 826 + 854. Let c be (y/78 - 4)*27. Which is smaller: c or 7? 7 Suppose -2 = -5*s - 42. Let f(u) = u**2 + 10*u + 19. Let h be f(s). Suppose p - h*p - 6 = 0. Is p bigger than -15/4? True Let w = -428.513 - 6.487. Is w smaller than -3? True Let r = 0.42 + 0.08. Let g = 2374.4 - 2150. Let y = -223 + g. Which is bigger: r or y? y Let
{ "pile_set_name": "DM Mathematics" }
ided by d(11). 20 Suppose -12*l - 969 = -29*l. What is the remainder when l is divided by 30? 27 Let j be (-16)/4*-1 + -2. Suppose -6 = -3*c + 2*d - 4*d, -10 = -5*c + j*d. Suppose 2*q = -r - c*r + 16, r = 2. What is the remainder when q is divided by 3? 2 Suppose 0 = -2*z - 78 + 26. Let n = z + 31. What is the remainder when 45/2 - 1/2 is divided by n? 2 Suppose -219*q - 27 = -220*q. What is the remainder when 187 is divided by q? 25 Suppose t = 5*o + 18, -3*t + 0*o + 2*o + 15 = 0. Suppose -2*u - t*d + 112 = -7*d, 0 = -3*u + 5*d + 164. What is the remainder when u is divided by 13? 9 Suppose 5*h + 2*r - 4 - 26 = 0, -2*r - 34 = -3*h. What is the remainder when 544/10 - (-36)/60 is divided by h? 7 Let t(u) = -1 - u**2 + 4 + 6*u - u**3 + 0*u**3 - 1. What is the remainder when 75 is divided by t(-4)? 23 Suppose 49 = 4*b - b + 2*o, 2*b - 2*o - 36 = 0. Let i be (-39)/5 - 7/35. Let y(z) = -z**3 - 7*z**2 + 5*z + 7. What is the remainder when y(i) is divided by b? 14 Let g(r) be the first derivative of r**4/2 - 5*r**3 + 7*r**2/2 - 11*r + 11. Calculate the remainder when g(8) is divided by 28. 25 Let z(o) = -o + 6. Let l be 3/((-2)/((-40)/(-6))). What is the remainder when z(l) is divided by 5? 1 Let b(j) = -57*j + 168. What is the remainder when b(-3) is divided by 69? 63 Let n(r) = -r**2 + 23*r - 20. Let u(q) = -q + 5. Let f be u(-13). Calculate the remainder when n(f) is divided by 18. 16 Let a(h) = 15*h**3 - h**2 - h + 3. Let q be a(2). Suppose -25 - q = -2*v. Calculate the remainder when v is divided by 25. 21 What is the remainder when -9 - -15 - (-55)/1 is divided by 16? 13 Suppose 3*o - 181 = 4*v, v - 2*v - 62 = -o. Let g = 9 - -14. What is the remainder when o is divided by g? 21 Let m(b) = -b**3 - 4*b**2 + b + 6. Let v = -12 - -7. Let g = -4 + 13. Calculate the remainder when m(v) is divided by g. 8 What is the remainder when 12 - 24/30*(1 - -4) is divided by 7? 1 Let o = 33 - 31. Suppose -4*q - 30 = -o*k, 18 = -5*q - 2. Calculate the remainder when 34 is divided by k. 6 Suppose 2*r - 5*r - 4*b = 8, -2*r - 2*b - 2 = 0. What is the remainder when 186 is divided by r? 2 Let b = -248 - -339. Calculate the remainder when b is divided by 19. 15 Let c = -39 + 71. Suppose -3*x + 35 - c = 0. What is the remainder when 6 is divided by x? 0 Suppose -32 = -x + 8. Suppose -d + x = d + 4*l, 2*d = -l + 28. Suppose -2*v - 255 = -321. What is the remainder when v is divided by d? 9 Suppose 9*u + 3*u - 228 = 0. What is the remainder when 244 is divided by u? 16 Suppose 20*p + 126 = 17*p. Let v = p - -62. Calculate the remainder when 39 is divided by v. 19 Suppose -y + 188 - 23 = 4*q, -165 = -y + 3*q. What is the remainder when y is divided by 57? 51 Let b(i) = i**2 - 4*i + 8. Calculate the remainder when 4/14 - 82/(-7) is divided by b(3). 2 Let a be 14*5/((-70)/(-4)). Let y be (0 - a*-3)*2. Suppose -u = -4*u + y. What is the remainder when 14 is divided by u? 6 Suppose 2*l - 6 = -2. Suppose 4*a = -v - 1, 2*v - 24 = -a + l. Calculate the remainder when 43 is divided by v. 13 Let o = -30 + 39. Let d = 45 + -22. What is the remainder when d is divided by o? 5 Let p(q) = q + 4. Let l be (2*-1)/(2 + -1). Let z(o) = 2*o**2 - 4*o - 3. What is the remainder when z(l) is divided by p(3)? 6 Let u(i) = 10*i**2. Suppose -m - 2 = -3*m. Let o = m + -2. What is the remainder when 29 is divided by u(o)? 9 Let i(t) = 3*t - 5. Calculate the remainder when 171 is divided by i(21). 55 Let n be -3 + 35 + -2 + -2. Let k be (-6)/(-8) + 567/n. Suppose 18*l - k*l = -27. Calculate the remainder when 34 is divided by l. 7 Let k = 1228 + 212. Suppose 1465 = 5*m - 5*v, 4*m + 243 = -v + k. Suppose -o + 6 = 5*x - 296, -o - m = -5*x. What is the remainder when x is divided by 31? 29 What is the remainder when 8/6 - 1960/(-42) is divided by 7? 6 Suppose f = 2*u + 14 + 7, -2*f = 2*u + 18. What is the remainder when 4 is divided by ((-2)/(-5))/((-4)/u)? 0 Let n = -33 - -67. Let z = 179 - n. Suppose -5*p + 118 + 127 = 5*f, f - z = -3*p. Calculate the remainder when p is divided by 17. 14 Let x(a) = -a**3 + 13*a**2 - 20*a - 6. What is the remainder when 19 is divided by x(11)? 3 Let y(l) = -l**3 + 4*l**2 + 8*l - 11. Let p be y(5). Suppose 4*q - 6*g = -7*g + 240, p*g = -q + 45. What is the remainder when q is divided by 22? 17 Suppose 10*y + 140 = 3*g + 12*y, 4*g - 180 = -4*y. Calculate the remainder when 246 is divided by g. 46 Let f(o) = o**3 + 8*o**2 - 4*o - 23. Calculate the remainder when 1555 is divided by f(-8). 7 Let p = 42 + 133. Suppose -2*u + 5*v = -101, 5*u + 3*v + 0*v = p. Calculate the remainder when u is divided by 22*-3*(-1)/6. 5 Let u be -1*-10*(-2)/(-4). Suppose u*z + 2*k = 21, z = 4*k - 8 - 1. Suppose -3*n = -33 + z. Calculate the remainder when 37 is divided by n. 7 Suppose 2*s = 3*s. Suppose s = -4*j - 0*j - 2*z - 18, 4*j - z = -15. Let y(n) = -n**3 - 3*n**2 + 4*n + 3. What is the remainder when 11 is divided by y(j)? 2 Let r = 332 + -206. Suppose 5*i + 3*c = 160, -4*c = -4*i - 5*c + 128. Calculate the remainder when r is divided by i. 30 Suppose 6*v = -21 + 195. What is the remainder when 100 is divided by v? 13 Suppose -w + 58 + 5 = 0. Suppose -3*y + 4*i + 124 = 0, -w = -2*y - 4*i + 13. Let l(n) = 13*n**2 - 248*n - 219. What is the remainder when y is divided by l(20)? 19 Suppose -2*u = -57 + 53. Let h(x) = 11*x - 4. What is the remainder when 50 is divided by h(u)? 14 Let l be (12/10)/((-5)/(-50)). Let x = -6 + l. What is the remainder when -2 + 3/x*26 is divided by 7? 4 Suppose 3*p + s - 2 = 30, -3*p + 2*s = -17. Let c(r) = r**3 - 9*r**2 + 7. What is the remainder when 27 is divided by c(p)? 6 Suppose -c + 5*c - 40 = 0. Suppose -c*q + 32 = -8*q. What is the remainder when -4*-21*(-1)/(-2) is divided by q? 10 Let r be ((-12)/(-2))/(10/15). Suppose -2*v + 19 = r. Suppose -4*a + q + 195 = 0, -q + 6 = -v*a + 251. What is the remainder when a is divided by 13? 11 Let q(z) = -30*z + 4. Let n be q(-3). Suppose n + 6 = 4*v. Suppose 0*w + 80 = 4*i - w, -i - w = -v. Calculate the remainder when i is divided by 6. 3 Let l = -20 + 61. What is the remainder when l is divided by 22? 19 Let l(k) = -7*k + 21*k - 2 - 10*k - 8*k. Calculate the remainder when l(-8) is divided by 8. 6 Let t(b) be the first derivative of -b**2/2 + 2*b - 1. Let r = -140 - -133. What is the remainder when 25 is divided by t(r)? 7 Suppose -78 = 8*r - 198. Let t(x) = -11*x + 2. What is the remainder when t(-5) is divided by r? 12 Let t = -35 + 37. Suppose t*s = -0*s + 5*m + 36, -5*s + 69 = -2*m. Calculate the remainder when 50 is divided by s. 11 Let r be 18*-3*42/(-27). Let h = r - 30. Let u(m) = m**2 - 6*m - 8. Calculate the remainder when h is divided by u(9). 16 Let l(b) = 6*b. Let g(o) = o**3 - 8*o**2 + 6*o + 9. Let x be g(7). Suppose 0 = -102*n + 105*n - 105. What is the remainder when n is divided by l(x)? 11 Suppose -564 = -3*s - 9*s. Suppose 4*z + 35 = 2*i - 21, z + s = 2*i. Let l(a) = 9*a. Calculate the remainder when i is divided by l(1). 4 Calculate the remainder when 56 is divided by 18*(160/140)/((-12)/(-14)). 8 Suppose 13 = 3*a + 2*u, -5 = -4*a + 3*u + 18. Suppose 4*s - 70 = 3*d, s - 5*d = a + 4. Calculate the remainder when s is divided by 6. 1 Let t = -3 - -9. Let y = 52 - 62. Calculate the remainder when (y - -9)/((-2)/34) is divided by t. 5 Suppose -4*j = -14*j + 40. Let v = 3 + -1. Suppose -j*a - a = 4*w - 38, -w + v*a + 3 = 0. What is the remainder when 26 is divided by w? 5 Let m be (288/45)/((-2)/(-10)). Let r = -14 + m. What is the remainder when r is divided by 10? 8 Suppose 0 = -3*d + 16*d - 65. What is the remainder when ((-2)/(-3))/((-13)/(-273)) is divided by d? 4 Let w(p) = 7*p**2 + 7*p - 3. Calculate the remainder when 191 is divided by w(-3). 35 Let g be (2/(-4))/((-3)/474). Suppose -2*r = -r - g. What is the remainder when r is divided by 27? 25 Suppose 286 = -0*h - 2*h. Let y = h + 208. What is the remainder when y is divided by 11? 10 Suppose -26*k = -206 - 28. Calculate the remainder when 42 is divided by k. 6 Calculate the remainder when ((-56)/(-16))/(((-39)/30)/(-13)) is divided by 14. 7 Suppose 24*q + 237 = 2997. What is the remainder when q is divided by 20? 15 What is the remainder when 651/15 - (-6)/(-15) is divided by 22? 21 Let q be 8/6 + (-1)/3. Let p(l) = 8*l**3
{ "pile_set_name": "DM Mathematics" }
(17) Simplify (-6*(sqrt(136) + -4*sqrt(136)))/(sqrt(32)/sqrt(4)*-3)*-1. 6*sqrt(17) Simplify 4 + (sqrt(6)*1)/sqrt(3) + sqrt(6050) + 4*sqrt(6050). 4 + 276*sqrt(2) Simplify (sqrt(72)/(sqrt(12)/sqrt(4)) + (sqrt(24) + (sqrt(96) - sqrt(24)))*5)/(5*-1*sqrt(1452)). -sqrt(2)/5 Simplify (((1*(sqrt(68) + sqrt(68)*-2) - sqrt(68))*6)/(sqrt(100) + (sqrt(100) - 6*(sqrt(100) + (sqrt(100) - sqrt(100)*1)))))**2. 153/25 Simplify (-5*((sqrt(45)*3*-2)/sqrt(9) + (sqrt(55)/(sqrt(11) - sqrt(44) - sqrt(11)) - sqrt(125)*-1)))**2. 1125/4 Simplify (((1 + sqrt(475))*4 + sqrt(475) + sqrt(475) - (-5 + sqrt(475) + sqrt(475)*2)) + (sqrt(475) + 4 + 2*sqrt(475))*-1)**2. 25 Simplify (4*(sqrt(153) + (-3 + (-4 + sqrt(153) + sqrt(153) - sqrt(153)) + sqrt(153) - sqrt(153)))*5)**2. -33600*sqrt(17) + 264400 Simplify (sqrt(4500)*1)/(-4*sqrt(9)*6). -5*sqrt(5)/12 Simplify (-1*(1 + sqrt(1872)) - (1 + sqrt(325) + 0 + sqrt(13) + sqrt(13)))*5. -95*sqrt(13) - 10 Simplify -4*((sqrt(252)/sqrt(4))**2 + sqrt(63) + 3) - 6*(-1*(sqrt(63) + sqrt(567)))**2. -6312 - 12*sqrt(7) Simplify sqrt(35)/(sqrt(7) - sqrt(63) - sqrt(7))*4*-3 + (-4*sqrt(720))/(sqrt(18)/sqrt(2)*-1). 20*sqrt(5) Simplify -1 + (sqrt(363) + 0)**2 + -5 + 3*(0 + sqrt(75) - (sqrt(3) + 1 + -3)). 12*sqrt(3) + 363 Simplify sqrt(19) + 2 + -2 + 5 + ((sqrt(19)*-2 + -3 - sqrt(19))*-6)**2. 649*sqrt(19) + 6485 Simplify ((sqrt(11) - sqrt(11)*-2*4) + (sqrt(11) - (-1 + sqrt(704))) - (2*sqrt(880))/sqrt(5))*1. -6*sqrt(11) + 1 Simplify -4*(sqrt(99)*1)/sqrt(9) - (sqrt(22)/(sqrt(2)*1) - sqrt(44)/(sqrt(4)*-2 + sqrt(4))). -6*sqrt(11) Simplify sqrt(1800) + (sqrt(1800) + (sqrt(1800) - (0 + sqrt(1800) + 4)))**2 + 1 + 5. -210*sqrt(2) + 1822 Simplify (4 + -1*6*(sqrt(432) - sqrt(432)*2) + 0)**2. 576*sqrt(3) + 15568 Simplify ((3*sqrt(88)*-1 - sqrt(88))*-6)/(5*(-1*sqrt(200) - sqrt(200))). -12*sqrt(11)/25 Simplify 6*(-5 + -3 + (sqrt(102)/sqrt(6))**2 + -5). 24 Simplify ((-2*sqrt(432) + sqrt(432) + sqrt(432))*1 + sqrt(432) + -1 - (2*(sqrt(432) + 2) - (sqrt(432) + -2 + sqrt(432)*-2 + sqrt(432))))**2. 168*sqrt(3) + 481 Simplify (sqrt(204)/(sqrt(4)*-1))/(1*(sqrt(3) + sqrt(147))). -sqrt(17)/8 Simplify -2 + sqrt(133)/(sqrt(847)*-2) + -3. -5 - sqrt(19)/22 Simplify (sqrt(14) + sqrt(154)/(sqrt(22)/sqrt(2)) - sqrt(14))/(-2*sqrt(50)) - (0 + 1*sqrt(252) + sqrt(252) - (sqrt(252) + -1 + 2 + sqrt(252))**2). 119*sqrt(7)/10 + 1009 Simplify -5*(-4 + 1*sqrt(17)) - (sqrt(85) + -5*(2*sqrt(85) + sqrt(85) - sqrt(85)))/sqrt(5). 4*sqrt(17) + 20 Simplify (sqrt(33)/(sqrt(3)*1) + -3 + (6*(sqrt(99)*1 + sqrt(99)))/sqrt(9))**2. -78*sqrt(11) + 1868 Simplify 4 + -1*sqrt(637) + sqrt(637) + (sqrt(637) + 2)**2 + 2 + 2. 28*sqrt(13) + 649 Simplify (sqrt(119) + (sqrt(119)*-2 - sqrt(119))*1 + (sqrt(119) - (sqrt(119) - 2*sqrt(119))*-6))/(((sqrt(35) + sqrt(245)/sqrt(7))/sqrt(5) + sqrt(7))*-4). 7*sqrt(17)/12 Simplify -2 + (sqrt(1700) + (sqrt(1700) + 2)**2)*-4 + sqrt(1700) + -5. -6823 - 190*sqrt(17) Simplify (-2*(-1*sqrt(77) + sqrt(77)) + (5*(sqrt(77)*-2 + sqrt(77)) - sqrt(77)) + sqrt(77))/((sqrt(252) + (sqrt(252) - (2*sqrt(252) + sqrt(252))))*-2). -5*sqrt(11)/12 Simplify (sqrt(5) - sqrt(50)/(sqrt(40)/sqrt(4)))**2 - 3*(sqrt(20) - sqrt(5))**2 - (2 + sqrt(20))*-5. -5 + 10*sqrt(5) Simplify (sqrt(190)/(sqrt(40)*2))**2 + (-1 + 2 + sqrt(475))**2. 10*sqrt(19) + 7635/16 Simplify -2 + (1 + -3*6*((sqrt(288) + sqrt(288) + 0 - sqrt(288)) + -3))**2. -23760*sqrt(2) + 96335 Simplify (-2*sqrt(448)*6 + 4 + sqrt(448) + -1 - (2*sqrt(448)*-5 - sqrt(448) - (sqrt(448)*-1 + 4)))**2. -112*sqrt(7) + 497 Simplify ((sqrt(117) - sqrt(117)*1)*2 - sqrt(117))/(3*sqrt(144) - sqrt(144)). -sqrt(13)/8 Simplify (-3 + (sqrt(1053) - (sqrt(1053) + sqrt(1053)*2 + 2)) + sqrt(1053)*1 + 2)**2 + 4. 54*sqrt(13) + 1066 Simplify (-3*sqrt(225))/sqrt(3) + -4 + (sqrt(96)/sqrt(2))**2. -15*sqrt(3) + 44 Simplify -2 + (sqrt(16)/(sqrt(40)/(sqrt(15)/sqrt(3))))**2 + (sqrt(200) + sqrt(200) + 3 + sqrt(200) + -3)**2. 1800 Simplify 3*(5*-2*sqrt(77) - (5*sqrt(77)*1 + sqrt(77)))/((sqrt(252)*1 + sqrt(252) - sqrt(252)) + sqrt(252) - sqrt(252) - sqrt(63)/(sqrt(9) - sqrt(36))). -48*sqrt(11)/7 Simplify -1 + sqrt(180) + sqrt(180)*3*4 + -3 + 2 + sqrt(180). -2 + 84*sqrt(5) Simplify ((sqrt(304) - ((sqrt(304) + -1)*-3 + sqrt(304))) + sqrt(304) - (1 + (sqrt(304) + 2 - sqrt(304))))**2*-2. -9800 + 384*sqrt(19) Simplify ((sqrt(98)*-1*-6 + 4)*6*6)**2. 435456*sqrt(2) + 4593024 Simplify ((sqrt(468) - (sqrt(468)*2*2 + sqrt(468)) - sqrt(468))*2)**2 + ((sqrt(78) - sqrt(78)*1*3)/(sqrt(216)/sqrt(9)))**2. 46813 Simplify (sqrt(54)/sqrt(2)*5 - sqrt(297)/(1*sqrt(11)))/(-5*(sqrt(9) + (sqrt(324)*-1 - sqrt(324)))). 4*sqrt(3)/55 Simplify (1*(-2*sqrt(210))/sqrt(6))/(((sqrt(112) - sqrt(112)*3) + sqrt(112))*3). sqrt(5)/6 Simplify 1 + -4 + -2 + (sqrt(2057)*2)**2 + 1. 8224 Simplify -5 + (2*sqrt(208) + 1 - (-5*((sqrt(13) + sqrt(13) + 2)*1 + sqrt(13)))**2) + 0. -3029 - 292*sqrt(13) Simplify (sqrt(44)/(sqrt(4)*-2) + sqrt(66)/(1*sqrt(6)))**2*-5 + sqrt(121)/(sqrt(121)/(sqrt(11) + sqrt(33)/sqrt(3))) + 2. -47/4 + 2*sqrt(11) Simplify (3*sqrt(6048))/(2*(sqrt(6) + sqrt(12)/sqrt(2)) + sqrt(6)). 36*sqrt(7)/5 Simplify ((sqrt(242) - (5 + -1*sqrt(242))) + (sqrt(242) - -3*sqrt(242)*-1) - -6*2*sqrt(242)*-6)**2. 7920*sqrt(2) + 1254553 Simplify ((sqrt(300)/((sqrt(5)*-2 + sqrt(5) - sqrt(5)) + sqrt(5) + sqrt(5) - sqrt(5))*-5)/(5*(sqrt(48) + sqrt(12))*2))**2. 5/36 Simplify sqrt(125) - (5 + sqrt(125) + -2)**2 - (sqrt(125) - (sqrt(125) - (sqrt(125) + sqrt(125) + sqrt(125)*4)*2 - sqrt(125))). -90*sqrt(5) - 134 Simplify ((-2*sqrt(4000))/(sqrt(8)*-2))**2 + -2. 498 Simplify (-2 + (-4*sqrt(171) - (sqrt(171)*1 - sqrt(171))/sqrt(9))*4)**2. 192*sqrt(19) + 43780 Simplify (sqrt(1536)*-6)/((4*sqrt(60))/sqrt(5)). -12*sqrt(2) Simplify (2*(1*sqrt(4)/sqrt(2) - sqrt(2)))**2 + ((-1*sqrt(320) + sqrt(320))/sqrt(10))**2 + 2. 2 Simplify (-2 + 2 + sqrt(325)*1)**2*-2*1. -650 Simplify (1 + ((sqrt(637)*-1 - sqrt(637)) + -3)*4 + 1)**2. 1120*sqrt(13) + 40868 Simplify 2*(sqrt(117) + -4*(sqrt(117) - 3*sqrt(117) - sqrt(117)))/(3*sqrt(729) - sqrt(729)). 13*sqrt(13)/9 Simplify ((sqrt(228) - -4*(sqrt(228) + (sqrt(228) - (sqrt(228) - sqrt(228)*-2))))*-1)/(sqrt(132)/(3*sqrt(44))). 18*sqrt(19) Simplify ((5 + -2 + sqrt(180) + sqrt(180) + (sqrt(180) - (sqrt(180) - (sqrt(180) + (sqrt(180) + 0 - sqrt(180)) - sqrt(180)))) + 0 + sqrt(180))*-3)**2 + 4. 972*sqrt(5) + 14665 Simplify (4 + (sqrt(720)*1)**2 - (-6*(1 + sqrt(720)))**2)*6*6. -908352 - 31104*sqrt(5) Simplify 3*(sqrt(2057) - (sqrt(2057) - (sqrt(2057) + -1)) - sqrt(2057)) - (3*(sqrt(153) - (sqrt(153)*3 + sqrt(153))))/sqrt(9). -3 + 9*sqrt(17) Simplify ((2*sqrt(81))/sqrt(3))/sqrt(9) - (sqrt(12) + 1)*-3. 3 + 8*sqrt(3) Simplify 2*-2*sqrt(68) - (sqrt(17) + -3 + -4 + 2). -9*sqrt(17) + 5 Simplify -5 + 3 + sqrt(1872)*3 + sqrt(1872)*3 + -1. -3 + 72*sqrt(13) Simplify ((sqrt(171) + (sqrt(171) - 2*sqrt(171)*-6) + sqrt(171))/sqrt(9) + -4 + (sqrt(76)*1)/sqrt(4))**2. -128*sqrt(19) + 4880 Simplify (sqrt(190) + 4*(sqrt(190) - -2*sqrt(190) - sqrt(190)))/(sqrt(90)/(sqrt(9)*-3 - sqrt(9))) + -2. -36*sqrt(19) - 2 Simplify (sqrt(68)*-2*-6)/(-3*sqrt(324)). -4*sqrt(17)/9 Simplify (((2 + sqrt(5103))**2 + sqrt(63))*1 + -1)*-4. -20424 - 444*sqrt(7) Simplify ((sqrt(304) + -1*sqrt(304)*-1)**2 - (sqrt(304) + -2 + (sqrt(304) - (sqrt(304) + 4)) + sqrt(304))) + -2. -8*sqrt(19) + 1220 Simplify (-6*3*(0 + 1 + sqrt(128)))**2. 5184*sqrt(2) + 41796 Simplify (((sqrt(70) - (sqrt(70) - 4*sqrt(70)))/sqrt(2))/(sqrt(5) + sqrt(5) + (sqrt(50)*-2 - sqrt(50))/sqrt(10)))**2. 112 Simplify 6*((sqrt(832) - ((sqrt(832)*1 - sqrt(832)) + 2)**2)*6 - (4 + 2*(sqrt(832) + -2 - sqrt(832))**2)). -216 + 288*sqrt(13) Simplify (1*(sqrt(1600) + sqrt(1600)*-2 + sqrt(1600)))/(sqrt(200) + sqrt(200) + (sqrt(200) - (sqrt(200) + 3*-2*sqrt(200) - sqrt(200))) + sqrt(200)). 0 Simplify (-1*(sqrt(189)/sqrt(3))/sqrt(3))/((sqrt(324)/(sqrt(12) + sqrt(192)))/sqrt(9)). -5*sqrt(7) Simplify (sqrt(91)*1*-2 - (sqrt(91)*-1*4 - sqrt(91)))/(5*sqrt(28)/sqrt(16)). 6*sqrt(13)/5 Simplify sqrt(170)/(sqrt(490)*-1) - ((sqrt(272)*-1)**2 + 2). -274 - sqrt(17)/7 Simplify (sqrt(270)/sqrt(144) + (sqrt(270)*-2)/sqrt(9))/(sqrt(10) + (sqrt(110) - (sqrt(110)*-1 - sqrt(110)))/sqrt(11) - 2*sqrt(1210)). 7*sqrt(3)/72 Simplify -1*((sqrt(320) + 1 - sqrt(320)) + 3 + -5) + 3 + 5. 9 Simplify (sqrt(320)*-2*4)/((sqrt(490) - 2
{ "pile_set_name": "DM Mathematics" }
68.28538 months? 0.22357115 How many micrograms are there in six fifths of a milligram? 1200 How many micrograms are there in 3.95913 milligrams? 3959.13 What is 6/5 of a milligram in micrograms? 1200 Convert 5.660119l to millilitres. 5660.119 What is sixty-one quarters of a century in months? 18300 How many micrometers are there in 1/4 of a millimeter? 250 How many months are there in 0.5826296 centuries? 699.15552 What is 45/4 of a microgram in nanograms? 11250 What is 74308.5ml in litres? 74.3085 What is 5.240554 millennia in decades? 524.0554 What is one tenth of a kilometer in centimeters? 10000 How many nanoseconds are there in 95446.24 hours? 343606464000000000 How many years are there in 33/5 of a millennium? 6600 How many millimeters are there in 1/4 of a meter? 250 What is thirty-two fifths of a micrometer in nanometers? 6400 How many millilitres are there in 55.11242l? 55112.42 How many minutes are there in 367.0246 weeks? 3699607.968 How many millilitres are there in seven quarters of a litre? 1750 How many seconds are there in 80.2195ms? 0.0802195 Convert 3.503924 weeks to seconds. 2119173.2352 What is 3/40 of a milligram in nanograms? 75000 What is 5/24 of a millennium in months? 2500 What is one tenth of a gram in micrograms? 100000 What is 1/20 of a century in years? 5 How many micrometers are there in 3/16 of a centimeter? 1875 What is 2.517986 centuries in years? 251.7986 What is 931606.2ml in litres? 931.6062 What is 27/4 of a gram in milligrams? 6750 What is 4.705997 kilograms in milligrams? 4705997 How many months are there in 537555.4 centuries? 645066480 What is seventeen halves of a litre in millilitres? 8500 What is 23/7 of a week in minutes? 33120 What is 406.2946 days in nanoseconds? 35103853440000000 What is 51.950115 seconds in hours? 0.0144305875 How many centimeters are there in 33/5 of a meter? 660 What is twenty-seven fifths of a meter in centimeters? 540 What is 633204.6 decades in centuries? 63320.46 What is 812088.8kg in milligrams? 812088800000 How many nanoseconds are there in 4.254964s? 4254964000 What is fifty-nine fifths of a microgram in nanograms? 11800 How many years are there in one fifth of a century? 20 How many years are there in 37/2 of a century? 1850 How many nanograms are there in 69/2 of a microgram? 34500 How many millilitres are there in 0.3712293 litres? 371.2293 How many kilometers are there in 434132.1cm? 4.341321 What is 4055.81g in kilograms? 4.05581 Convert 1709.85 millilitres to litres. 1.70985 What is 11.9178 hours in microseconds? 42904080000 How many months are there in eighteen fifths of a millennium? 43200 How many meters are there in fourty-five eighths of a kilometer? 5625 What is fourty-three quarters of a tonne in kilograms? 10750 How many decades are there in 90949.12 years? 9094.912 How many minutes are there in 5/24 of a day? 300 How many decades are there in 0.1759942 years? 0.01759942 How many months are there in six fifths of a millennium? 14400 What is 2/15 of a minute in seconds? 8 How many months are there in 53/4 of a century? 15900 How many milligrams are there in 1208.027 micrograms? 1.208027 How many milligrams are there in 2032.281 tonnes? 2032281000000 What is five eighths of a litre in millilitres? 625 Convert 731.3863km to micrometers. 731386300000 What is 1/30 of a week in seconds? 20160 How many hours are there in 4/3 of a week? 224 How many minutes are there in 7/6 of a hour? 70 Convert 1238.990823 seconds to weeks. 0.0020485959375 What is 900.6477 hours in minutes? 54038.862 How many micrometers are there in 1/5 of a millimeter? 200 How many milligrams are there in 48/5 of a gram? 9600 Convert 93.33208t to micrograms. 93332080000000 How many nanometers are there in 17/4 of a micrometer? 4250 What is 37/2 of a century in decades? 185 What is 885.436ml in litres? 0.885436 How many grams are there in 7/2 of a kilogram? 3500 What is 5.21973 nanograms in kilograms? 0.00000000000521973 What is 114534.78 months in millennia? 9.544565 What is 71/5 of a gram in milligrams? 14200 What is 877791.7 centuries in decades? 8777917 What is 3/8 of a micrometer in nanometers? 375 What is 3.298919 micrograms in tonnes? 0.000000000003298919 How many hours are there in 2/21 of a week? 16 How many seconds are there in twenty-nine halves of a minute? 870 What is 1/10 of a kilometer in millimeters? 100000 What is 1/4 of a litre in millilitres? 250 How many seconds are there in 25/2 of a hour? 45000 What is 98683.73 weeks in microseconds? 59683919904000000 What is one fifth of a microgram in nanograms? 200 How many years are there in five quarters of a millennium? 1250 What is 3/25 of a litre in millilitres? 120 How many months are there in thirty-one halves of a year? 186 How many microseconds are there in 11.16936 days? 965032704000 How many meters are there in 27/5 of a kilometer? 5400 How many hours are there in 1.0764723 minutes? 0.017941205 What is 19/4 of a millimeter in micrometers? 4750 Convert 69.19358 years to months. 830.32296 How many nanometers are there in 62.34264 meters? 62342640000 What is 65.7383m in centimeters? 6573.83 How many grams are there in 77618.11 tonnes? 77618110000 Convert 264.6709l to millilitres. 264670.9 What is 6/25 of a litre in millilitres? 240 What is 3/10 of a gram in milligrams? 300 What is 3/5 of a tonne in kilograms? 600 How many millilitres are there in five eighths of a litre? 625 How many nanometers are there in 4.61947 kilometers? 4619470000000 What is 53.63683 centuries in decades? 536.3683 What is 89913.12 milligrams in nanograms? 89913120000 What is nine tenths of a millennium in months? 10800 What is 21/2 of a litre in millilitres? 10500 Convert 55107.91 hours to microseconds. 198388476000000 What is 48/5 of a day in minutes? 13824 How many millilitres are there in 11/2 of a litre? 5500 What is one quarter of a meter in centimeters? 25 How many centimeters are there in fourty-nine fifths of a meter? 980 What is twenty-seven quarters of a litre in millilitres? 6750 How many milligrams are there in 1/10 of a gram? 100 What is one quarter of a day in minutes? 360 How many millilitres are there in seven halves of a litre? 3500 How many millilitres are there in twenty-five quarters of a litre? 6250 Convert 8.647126 nanoseconds to milliseconds. 0.000008647126 Convert 3169.284 tonnes to micrograms. 3169284000000000 How many micrometers are there in 1/20 of a centimeter? 500 Convert 4.276106m to micrometers. 4276106 What is 3/8 of a milligram in micrograms? 375 What is 21/8 of a micrometer in nanometers? 2625 Convert 2525.001 centimeters to millimeters. 25250.01 What is 18/5 of a decade in years? 36 How many centimeters are there in three tenths of a kilometer? 30000 Convert 2101928.4 milliseconds to days. 0.024327875 What is 1.161679s in microseconds? 1161679 What is 0.791773km in millimeters? 791773 What is 19/10 of a microgram in nanograms? 1900 What is 3/40 of a kilogram in grams? 75 What is thirteen fifths of a litre in millilitres? 2600 How many millimeters are there in six fifths of a meter? 1200 What is 7/15 of a day in minutes? 672 What is 593345.9m in millimeters? 593345900 What is 3/40 of a kilometer in millimeters? 75000 How many seconds are there in 2/45 of a hour? 160 What is 21.64174mg in tonnes? 0.00000002164174 How many minutes are there in 21/4 of a week? 52920 How many micrograms are there in 0.931463 grams? 931463 How many milliseconds are there in 4/3 of a minute? 80000 What is 27/5 of a millimeter in micrometers? 5400 What is 11/10 of a century in years? 110 How many minutes are there in 1/6 of a day? 240 How many seconds are there in 23/3 of a minute? 460 How many centuries are there in 13176.168 months? 10.98014 What is 3/8 of a meter in millimeters? 375 How many weeks are there in 174.9178746s? 0.0002892160625 How many millimeters are there in 18/5 of a meter? 3600 What is 10/3 of a year in months? 40 What is 12/25 of a litre in millilitres? 480 What is twenty-five halves of a millennium in years? 12500 What is 1523.136ml in litres? 1.523136 What is 21/5 of a milligram in micrograms? 4200 How many months are there in seven eighths of a century? 1050 How many seconds are there in two ninths of a hour? 800 Co
{ "pile_set_name": "DM Mathematics" }
the common denominator of 69/55 and -49/80. 880 What is the common denominator of 173/30 and -29/18? 90 Calculate the common denominator of -99/2 and -85/754. 754 What is the smallest common multiple of 3594 and 2396? 7188 Calculate the lowest common multiple of 1079 and 611. 50713 What is the least common multiple of 29 and 10? 290 Calculate the lowest common multiple of 185 and 4477. 22385 What is the common denominator of 47/80 and 7/14290? 114320 What is the least common multiple of 222 and 20? 2220 What is the common denominator of 123/20 and -17/96? 480 What is the lowest common multiple of 175 and 45? 1575 Calculate the least common multiple of 4622 and 8. 18488 What is the common denominator of 115/198 and 7/627? 3762 Calculate the lowest common multiple of 65 and 3. 195 What is the lowest common multiple of 88 and 2? 88 What is the least common multiple of 11 and 3118? 34298 Find the common denominator of 1/24 and 43/2685. 21480 Calculate the least common multiple of 323 and 2465. 46835 What is the common denominator of 23/4 and 109/224? 224 What is the least common multiple of 6 and 36? 36 Find the common denominator of 5/34 and 51/8. 136 What is the smallest common multiple of 19 and 1? 19 What is the common denominator of 71/44 and -145/12? 132 Calculate the lowest common multiple of 30 and 249. 2490 Calculate the common denominator of 107/280 and -79/2128. 10640 Calculate the lowest common multiple of 78 and 153. 3978 Calculate the common denominator of -38/2615 and 91/50. 26150 What is the common denominator of 41/133 and -38/35? 665 What is the lowest common multiple of 60 and 48? 240 Find the common denominator of -55/21 and 65/8571. 59997 What is the common denominator of -109/90 and -31/162? 810 What is the common denominator of 15/208 and -9/1664? 1664 Find the common denominator of -35/16 and 11/62. 496 Calculate the common denominator of -91/1444 and -5/11. 15884 Calculate the least common multiple of 590 and 1239. 12390 What is the common denominator of -11/305 and 31/305? 305 What is the common denominator of -49/450 and 71/30? 450 What is the common denominator of -107/1452 and -83/264? 2904 What is the lowest common multiple of 870 and 36? 5220 What is the common denominator of -85/72 and 173/30? 360 Calculate the common denominator of 193/390 and -73/260. 780 What is the smallest common multiple of 1712 and 642? 5136 What is the common denominator of 151/12 and 71/8? 24 What is the smallest common multiple of 430 and 8? 1720 Calculate the lowest common multiple of 12 and 12. 12 What is the common denominator of -77/310 and 103/40? 1240 Find the common denominator of -2/33 and -5/264. 264 Calculate the lowest common multiple of 935 and 170. 1870 What is the common denominator of 41/2 and 83/250? 250 Calculate the lowest common multiple of 7 and 7. 7 Calculate the common denominator of -61/51 and 35/138. 2346 Calculate the lowest common multiple of 48 and 72. 144 What is the lowest common multiple of 30 and 18? 90 Find the common denominator of 55/2 and -53/1662. 1662 Find the common denominator of 47/56 and -99/268. 3752 Calculate the least common multiple of 27 and 1263. 11367 What is the lowest common multiple of 180 and 1278? 12780 Find the common denominator of 19/64 and 59/112. 448 What is the common denominator of -45/31 and -1/10? 310 Find the common denominator of 83/33 and 65/12. 132 Calculate the common denominator of -81/1540 and 131/132. 4620 Calculate the lowest common multiple of 12 and 2262. 4524 What is the least common multiple of 38 and 200? 3800 Find the common denominator of -67/64 and 47/2976. 5952 Calculate the smallest common multiple of 1353 and 246. 2706 What is the smallest common multiple of 368 and 2? 368 What is the lowest common multiple of 8227 and 6? 49362 What is the common denominator of -79/448 and 73/1960? 15680 Find the common denominator of -31/6 and -37/72. 72 What is the least common multiple of 418 and 228? 2508 Calculate the common denominator of -73/320 and -103/960. 960 What is the common denominator of 103/252 and -121/540? 3780 Find the common denominator of 79/28 and -123/70. 140 What is the least common multiple of 28 and 8? 56 Find the common denominator of 21/8 and 8/423. 3384 What is the smallest common multiple of 6 and 382? 1146 Find the common denominator of 41/44 and -37/240. 2640 What is the common denominator of 39/1256 and -61/44? 13816 Calculate the lowest common multiple of 384 and 344. 16512 Calculate the lowest common multiple of 16 and 272. 272 What is the common denominator of -107/40 and 53/7916? 79160 What is the common denominator of -37/40 and 25/8? 40 What is the smallest common multiple of 28 and 1208? 8456 Calculate the least common multiple of 380 and 228. 1140 Calculate the lowest common multiple of 26344 and 4. 26344 What is the common denominator of -43/10 and -95/644? 3220 What is the common denominator of -49/60 and 53/240? 240 Calculate the lowest common multiple of 16 and 130. 1040 What is the lowest common multiple of 36 and 582? 3492 Calculate the lowest common multiple of 3 and 1071. 1071 Calculate the smallest common multiple of 4 and 7183. 28732 Calculate the lowest common multiple of 11 and 22. 22 What is the common denominator of -71/200 and 69/20? 200 Calculate the common denominator of -43/12 and 3/1328. 3984 What is the least common multiple of 90 and 72? 360 Calculate the least common multiple of 24 and 152. 456 Calculate the least common multiple of 730 and 1314. 6570 Calculate the common denominator of -29/2453 and -39/223. 2453 Calculate the least common multiple of 56 and 112. 112 What is the lowest common multiple of 264 and 3520? 10560 Calculate the smallest common multiple of 6 and 78. 78 Calculate the least common multiple of 72 and 252. 504 Calculate the smallest common multiple of 12 and 116. 348 Calculate the common denominator of -32/627 and -35/513. 5643 What is the common denominator of 41/5 and 24/2119? 10595 Calculate the common denominator of -43/759 and 191/690. 7590 Calculate the lowest common multiple of 229 and 11. 2519 What is the common denominator of -1/102 and 25/28? 1428 Calculate the smallest common multiple of 4180 and 3344. 16720 Calculate the common denominator of -103/90 and 88/375. 2250 Find the common denominator of -79/170 and -7/4. 340 Calculate the common denominator of -39/160 and -3/80. 160 Find the common denominator of 43/350 and 99/1400. 1400 Find the common denominator of 73/144 and -29/162. 1296 Find the common denominator of -139/36 and 137/11586. 69516 Find the common denominator of -22/357 and -29/13. 4641 Calculate the least common multiple of 3 and 1023. 1023 Calculate the least common multiple of 144 and 198. 1584 What is the smallest common multiple of 21 and 372? 2604 What is the lowest common multiple of 2 and 91? 182 Calculate the common denominator of 79/6 and -23/2649. 5298 What is the common denominator of -27/1631 and 41/6? 9786 What is the smallest common multiple of 9538 and 2510? 47690 Find the common denominator of 65/8 and -17/396. 792 What is the smallest common multiple of 14 and 1794? 12558 Calculate the lowest common multiple of 280 and 210. 840 Calculate the common denominator of 32/9 and 4/33. 99 Calculate the smallest common multiple of 756 and 216. 1512 Calculate the smallest common multiple of 528 and 88. 528 Find the common denominator of -23/130 and -71/6. 390 Calculate the common denominator of -85/2 and -67/2456. 2456 Calculate the smallest common multiple of 1981 and 3113. 21791 Calculate the smallest common multiple of 13801 and 8. 110408 What is the smallest common multiple of 928 and 406? 6496 Find the common denominator of -121/162 and 86/273. 14742 Calculate the least common multiple of 4 and 272. 272 What is the common denominator of 149/30 and -62/115? 690 Calculate the common denominator of 26/135 and -8/195. 1755 What is the lowest common multiple of 1818 and 108? 10908 What is the smallest common multiple of 4 and 32? 32 What is the common denominator of 45/11 and -13/15? 165 What is the common denominator of 21/8 and 85/22? 88 Calculate the common denominator of 11/56 and -3/44. 616 What is the lowest common multiple of 198 and 231? 1386 C
{ "pile_set_name": "DM Mathematics" }
3 + p = 0. What is the third smallest value in 1/5, 0.5, n? 0.5 Let l = -0.1 + -0.2. What is the second biggest value in l, 0, -3/7? l Let w = -0.03 - 0.27. Let i = 225/2 - 1133/10. What is the third biggest value in w, 0.3, i? i Suppose 0 = -3*b + 7*b - 2*y, -5*y = -4*b - 12. Let j = b + -1. Suppose -t = -2*t - 5, 3*n - 10 = 5*t. What is the smallest value in 0.1, n, j? n Let d = 3 + 0. Let k be (d/2 - 1)*-2. What is the biggest value in -1/3, k, 0.2? 0.2 Suppose -t - 2*t - 2*i + 3 = 0, -5*i = 5*t. Suppose -3*x + t = -6*x. Let j = -1 - -0.6. What is the biggest value in x, 0.5, j? 0.5 Let r = 386 + -2693/7. What is the second biggest value in 1/6, r, -2/11? 1/6 Let t be ((-4 + 12)/4)/(-13). What is the second smallest value in -0.5, -9, t? -0.5 Let r = -1 - 1. What is the third biggest value in r, 0.2, 5? r Let m = 0.84 - 0.74. What is the biggest value in 3/7, m, -21? 3/7 Let n = 11 + -6. Let h = 0 - -3. Let r = 2.8 - h. Which is the smallest value? (a) n (b) r (c) -3 c Let x(h) be the third derivative of -h**5/60 + h**4/24 + 2*h**3/3 + 2*h**2. Let n be x(0). What is the second smallest value in -3, n, -4/5? -4/5 Let r = 10.1 + -10. Let k(y) = -1 + 0*y + 0 - y**2 - 6*y. Let x be k(-5). Which is the third smallest value? (a) x (b) -1 (c) r a Let x = -0.04 + 0.04. Let d = 0.2 + x. Suppose 3*g + q = 6*q + 16, 4*g = 5*q + 13. What is the second smallest value in d, g, -5? g Let o = -10 - -6. Let k = 0.096 - 5.996. Let i = -0.9 - k. What is the biggest value in o, 0.4, i? i Let g = 1569 + -240056/153. Let x = g + -313/1071. Which is the second smallest value? (a) -1 (b) x (c) 2 b Let r = 46 - 46.3. What is the third smallest value in 4, 5, r, 0.2? 4 Let z = 5 + -1. Which is the smallest value? (a) z (b) 0.2 (c) 0.5 b Let k = -0.35 - -0.15. What is the smallest value in 0.2, -2, k? -2 Let d = 99 + -696/7. What is the third biggest value in 0.3, 0.4, 2/11, d? 2/11 Let k be 1*-3 + (9 - 75). Let f be 9/(-21) + k/(-63). Which is the third smallest value? (a) 2 (b) 2/7 (c) f a Suppose y = 2*z - 8, 4*z + 2*y - 40 = -2*y. Suppose -a - z = 2*c + 1, -17 = 4*a - 3*c. What is the second smallest value in 4, -2/7, a? -2/7 Let s = 28/19 - 402/247. Let m be 8/(-1)*(1 - 7/6). What is the third smallest value in 5, s, m? 5 Let j = 3019/5480 + -1/1096. Let u = j + -3/4. What is the second smallest value in -5, 3/7, u? u Suppose -5*q = -4*l - 0*l - 42, 5*q = 5*l + 50. Let j be l/(-20) - (-2)/(-80). What is the smallest value in j, -1/3, -3? -3 Let f = 10.2 + -10.1. What is the fourth smallest value in -0.3, 0.01, f, 0? f Let m = -0.183 - 0.587. Let p = m - -0.24. Let g = 0.03 + p. Which is the smallest value? (a) g (b) -3 (c) 4 b Let a = -89/119 + 20/17. Let y = 97 - 99. What is the second smallest value in a, y, -4? y Let o = -1 + 3. Suppose -2 = -q + o. What is the biggest value in 3/7, 2, q? q Let y = -0.131 + 0.031. What is the second biggest value in 0.5, -0.3, 5, y? 0.5 Suppose l = -l + 6. Let o = 0.6 - -1.4. Which is the second smallest value? (a) -5 (b) o (c) l b Suppose 6*r + 22 = -3*i + r, 0 = -2*r - 10. Suppose -h = -0*h + 4. Let b = h - -7. What is the third smallest value in b, -4, i? b Let r = 0.9 - 1.8. What is the smallest value in -6, r, 0? -6 Let y = 56.9 - 58. What is the third biggest value in 2, 0.5, y? y Let n = 18 + -18.4. What is the third smallest value in n, -0.3, 2? 2 Let o = 27 + -26.9. Let t = -0.1 + -2.9. Which is the smallest value? (a) o (b) -1/2 (c) t c Let p = 20.5 + -20. Which is the smallest value? (a) -3 (b) p (c) 2 a Let h = -2.7 + 6.7. What is the second smallest value in h, 2/7, -0.4? 2/7 Let r = 637/5 - 128. Which is the second biggest value? (a) r (b) -5 (c) -7 b Let j = 4 + -13/3. What is the second biggest value in 0.1, -0.2, j? -0.2 Let d(y) = 2*y**2 + 4*y + 2. Let v be d(-5). Let j be v/(-24)*(-1)/(-6). Let m = -3 - -1. Which is the third biggest value? (a) m (b) 0.1 (c) j a Let v = 0.29 + 0.01. Let d = v + -0.8. Which is the third biggest value? (a) d (b) -0.4 (c) 0.5 a Let m = 8 - 13. Let t = 132 + -245. Let l = -1131/10 - t. What is the smallest value in m, -2/5, l? m Let u = 807/7 + -115. Suppose -2*k - 4*r = -1 + 17, 1 = -2*k - r. Suppose 2*j - 2 = k. Which is the third smallest value? (a) u (b) 0.4 (c) j c Let q = -76 - -74. Let g be (70/(-12))/7 - -1. What is the biggest value in -2/7, g, q? g Let a = 0.63 - 3.69. Let f = a + 0.06. Let h = 1 - 1. What is the smallest value in -0.4, h, f? f Let m = -357407/8 + 44566. Let r = 110 + m. What is the third smallest value in 0.3, 1, r? 1 Suppose -2*f - 65 = 3*f. Let k = f + 42. Let m = k + -59/2. Which is the second biggest value? (a) m (b) -0.3 (c) 0.3 b Let r(k) = -k**3 - 2*k**2 + 3*k + 3. Let t be r(-3). Let o be ((-3)/(-7))/(0 + t). Which is the third biggest value? (a) 2 (b) o (c) 0 c Let g = -5 + 3. Let z = -102 - -715/7. Let q be (4/(-4) - -2)*-1. Which is the third smallest value? (a) z (b) g (c) q a Let n = -0.1494 - -0.11. Let z = 3.0694 + n. Let l = 0.03 - z. Which is the biggest value? (a) 0 (b) l (c) 0.1 c Let r = 32 - 28. Which is the biggest value? (a) 5 (b) 0.5 (c) r a Let p = 25 - 20. What is the second biggest value in -0.4, p, 0.2? 0.2 Let u(m) = 6*m + 2. Let x be u(-4). Let k be 6/(-24) + x/8. What is the smallest value in k, 3, -0.2? k Suppose s + y = -0*y, 4*s = 4*y - 24. Let o = 13.5 - 14.5. Which is the second biggest value? (a) o (b) 5 (c) s a Let a = -8 - -4. What is the second smallest value in 1/2, -2, a? -2 Let c = 8 + -3. Let j(d) = 2*d**2. Let s be j(1). Let i be (-3)/6 + s/8. What is the third biggest value in -0.3, i, c? -0.3 Let m = -21 + 21.3. Which is the biggest value? (a) -0.1 (b) 5 (c) m b Let x = -3 + 3.04. Let n = x + -3.04. Which is the second biggest value? (a) n (b) 0 (c) 2 b Let p = 2.2 - 2. Let t be (20/(-16))/((-6)/(-8)). Which is the biggest value? (a) p (b) t (c) -0.4 a Let w = 4.01 - 0.01. Let s = -1 + -3. Let f = -9 - s. Which is the smallest value? (a) f (b) w (c) 3 a Let v = -13 + 22. Let y = 9 - v. What is the smallest value in -5, y, -0.2? -5 Let h be 96/(-30) - 1*-3. Let g = -10 - -6. Let n = 53 - 211/4. Which is the third smallest value? (a) n (b) h (c) g a Let r = -55 - -54. What is the second smallest value in r, 2/27, 3? 2/27 Let l = 6 + -10. What is the second smallest value in -5, -2/19, l? l Let i = 23 + -32. Let g = i + 9.3. What is the biggest value in -1/8, -0.1, g? g Let p = -0.14 + -0.26. What is the third biggest value in 0.5, p, -0.1? p Let t = 0.414 + -0.014. What is the second smallest value in 2/3, 2, t, -5? t Let x = -29 + -34. Let t be -3 - (x/3)/3. Which is the third biggest value? (a) 0.5 (b) 0 (c) t b Suppose 8*n - 6*n + 310 = 0. Let m = n - -461/3. Let o = -157/5 + 31. Which is the biggest value? (a) m (b) o (c) -2 b Let v = -0.8 + 1.1. Which is the second biggest value? (a) -0.6 (b) 0.1 (c) v b Let x = 0.8 + -1. Let s = -3/14 + -1/28. Let t(g) = g**3 - 5*g**2 + 5*g - 5. Let v be t(4). What is the third biggest value in s, v, x? v Let w = 0.332 + -0.032. Let r = -0.8 + 0.7. Which is the second biggest value? (a) -1/2 (b) w (c) r c Let v = 29 + -32. What is the smallest value in 0, 8, 1/4, v? v Let q = -1/2 - -1/3. Which is the second smallest value? (a) -1/4 (b) 2/7 (c) q c Let y(g) = -g**2 - 15*g + 3*g + 3*g - 2. Let d be y(-9). Which is the second smallest value? (a) -3 (b) 2 (c) d c Let o(x) = -x + 1. Let c be o(-2). What is the third biggest value in 0.3, 1, c? 0.3 Let p = 1.9 + -1.88. Let k = p - 0.42. What is the biggest value in -1, k, 4? 4 Let z = -58 + 291/5. Let d = -7/11 - 1/33. What is the third biggest value in d, -1/4, z? d Suppose 7 = 5*z - 18. Let r = -432.2 + 432. Which is the second biggest value? (a) r (b) z (c) -2/5 a Let t = 7.6 - 0.6. Let l = 0.03 + 4.97. Let d = t - l. Which is the biggest value? (a) d (b) 0.3 (c) 4 c Let f = 4 + -1. Let v be 0 - (-3)/(-1) - -8. Which is the third smallest value? (a) -5 (b) f (c) v c Let x = -0.2 - -0.2. Let l = x - -0.2. Let o be -2 + 86/21 + -2. Which is the third biggest value? (a) o (b) l (c) -2/9 c Let a = 24.99 - 25. What is the biggest value in a, -1, -2? a Let i = -6 + 7. Let o be (4/10)/(132/275). Which is the smallest val
{ "pile_set_name": "DM Mathematics" }
the power of 1/2, to the nearest integer? 391 What is the square root of 12479 to the nearest integer? 112 What is the square root of 2422 to the nearest integer? 49 What is the ninth root of 636 to the nearest integer? 2 What is 28446 to the power of 1/2, to the nearest integer? 169 What is 761 to the power of 1/10, to the nearest integer? 2 What is the cube root of 59577 to the nearest integer? 39 What is 10778 to the power of 1/10, to the nearest integer? 3 What is the seventh root of 13558 to the nearest integer? 4 What is the sixth root of 28068 to the nearest integer? 6 What is 86916 to the power of 1/4, to the nearest integer? 17 What is the third root of 7104 to the nearest integer? 19 What is 2658 to the power of 1/2, to the nearest integer? 52 What is the third root of 131221 to the nearest integer? 51 What is the square root of 86752 to the nearest integer? 295 What is the eighth root of 102566 to the nearest integer? 4 What is the square root of 4547 to the nearest integer? 67 What is 1164 to the power of 1/10, to the nearest integer? 2 What is 758 to the power of 1/2, to the nearest integer? 28 What is 53628 to the power of 1/6, to the nearest integer? 6 What is 2917 to the power of 1/5, to the nearest integer? 5 What is 6080 to the power of 1/3, to the nearest integer? 18 What is the third root of 48062 to the nearest integer? 36 What is 12277 to the power of 1/2, to the nearest integer? 111 What is 4536 to the power of 1/2, to the nearest integer? 67 What is the square root of 83962 to the nearest integer? 290 What is the cube root of 1448 to the nearest integer? 11 What is the square root of 68019 to the nearest integer? 261 What is 205701 to the power of 1/6, to the nearest integer? 8 What is the cube root of 8602 to the nearest integer? 20 What is the third root of 26883 to the nearest integer? 30 What is 37666 to the power of 1/9, to the nearest integer? 3 What is 39 to the power of 1/3, to the nearest integer? 3 What is 829 to the power of 1/2, to the nearest integer? 29 What is the cube root of 85636 to the nearest integer? 44 What is the eighth root of 1810 to the nearest integer? 3 What is 2854 to the power of 1/3, to the nearest integer? 14 What is 147 to the power of 1/2, to the nearest integer? 12 What is the tenth root of 30078 to the nearest integer? 3 What is the cube root of 5368 to the nearest integer? 18 What is the eighth root of 2162 to the nearest integer? 3 What is 1043 to the power of 1/10, to the nearest integer? 2 What is 1746 to the power of 1/2, to the nearest integer? 42 What is 3442 to the power of 1/3, to the nearest integer? 15 What is the cube root of 86228 to the nearest integer? 44 What is the fifth root of 14833 to the nearest integer? 7 What is the cube root of 106509 to the nearest integer? 47 What is the cube root of 4919 to the nearest integer? 17 What is the square root of 5106 to the nearest integer? 71 What is the cube root of 2511 to the nearest integer? 14 What is 1107 to the power of 1/2, to the nearest integer? 33 What is the square root of 3298 to the nearest integer? 57 What is 126546 to the power of 1/2, to the nearest integer? 356 What is the square root of 4747 to the nearest integer? 69 What is 356 to the power of 1/3, to the nearest integer? 7 What is the tenth root of 10910 to the nearest integer? 3 What is the third root of 6678 to the nearest integer? 19 What is 5423 to the power of 1/5, to the nearest integer? 6 What is the eighth root of 25831 to the nearest integer? 4 What is the fourth root of 48543 to the nearest integer? 15 What is 3232 to the power of 1/6, to the nearest integer? 4 What is 11056 to the power of 1/9, to the nearest integer? 3 What is the third root of 572 to the nearest integer? 8 What is the square root of 636 to the nearest integer? 25 What is 4994 to the power of 1/3, to the nearest integer? 17 What is the seventh root of 29111 to the nearest integer? 4 What is the tenth root of 2404 to the nearest integer? 2 What is the tenth root of 680 to the nearest integer? 2 What is the third root of 1420 to the nearest integer? 11 What is the third root of 134773 to the nearest integer? 51 What is 35772 to the power of 1/2, to the nearest integer? 189 What is the fourth root of 18783 to the nearest integer? 12 What is the square root of 1305 to the nearest integer? 36 What is 16109 to the power of 1/7, to the nearest integer? 4 What is the square root of 26965 to the nearest integer? 164 What is 2520 to the power of 1/4, to the nearest integer? 7 What is 6727 to the power of 1/5, to the nearest integer? 6 What is 1311 to the power of 1/3, to the nearest integer? 11 What is 28431 to the power of 1/7, to the nearest integer? 4 What is 3137 to the power of 1/2, to the nearest integer? 56 What is the fifth root of 905 to the nearest integer? 4 What is the seventh root of 302 to the nearest integer? 2 What is the tenth root of 24695 to the nearest integer? 3 What is the cube root of 8454 to the nearest integer? 20 What is the square root of 1158 to the nearest integer? 34 What is 1076 to the power of 1/4, to the nearest integer? 6 What is the fourth root of 6025 to the nearest integer? 9 What is 34342 to the power of 1/3, to the nearest integer? 33 What is 2530 to the power of 1/2, to the nearest integer? 50 What is 13090 to the power of 1/9, to the nearest integer? 3 What is 57376 to the power of 1/3, to the nearest integer? 39 What is 56890 to the power of 1/8, to the nearest integer? 4 What is the square root of 2001 to the nearest integer? 45 What is the third root of 21352 to the nearest integer? 28 What is 705 to the power of 1/3, to the nearest integer? 9 What is the ninth root of 2990 to the nearest integer? 2 What is 11554 to the power of 1/2, to the nearest integer? 107 What is the ninth root of 11556 to the nearest integer? 3 What is 48855 to the power of 1/4, to the nearest integer? 15 What is the third root of 8948 to the nearest integer? 21 What is 291 to the power of 1/4, to the nearest integer? 4 What is 14279 to the power of 1/2, to the nearest integer? 119 What is 31962 to the power of 1/2, to the nearest integer? 179 What is 104014 to the power of 1/2, to the nearest integer? 323 What is the square root of 5537 to the nearest integer? 74 What is the tenth root of 9533 to the nearest integer? 2 What is the cube root of 6648 to the nearest integer? 19 What is 7909 to the power of 1/7, to the nearest integer? 4 What is the cube root of 193 to the nearest integer? 6 What is 790 to the power of 1/2, to the nearest integer? 28 What is the cube root of 2528 to the nearest integer? 14 What is 140 to the power of 1/2, to the nearest integer? 12 What is the fourth root of 41926 to the nearest integer? 14 What is 8422 to the power of 1/5, to the nearest integer? 6 What is 17067 to the power of 1/3, to the nearest integer? 26 What is 14023 to the power of 1/5, to the nearest integer? 7 What is the square root of 9573 to the nearest integer? 98 What is 7200 to the power of 1/7, to the nearest integer? 4 What is 12744 to the power of 1/6, to the nearest integer? 5 What is 809 to the power of 1/8, to the nearest integer? 2 What is the fourth root of 1071 to the nearest integer? 6 What is 1395 to the power of 1/5, to the nearest integer? 4 What is the fifth root of 53611 to the nearest integer? 9 What is the third root of 1342 to the nearest integer? 11 What is the square root of 3894 to the nearest integer? 62 What is 3668 to the power of 1/2, to the nearest integer? 61 What is the ninth root of 8423 to the nearest integer? 3 What is the square root of 55182 to the nearest integer? 235 What is the third root of 276 to the nearest integer? 7 What is 578 to the power of 1/3, to the nearest integer? 8 What is 54 to the power of 1/2, to the nearest integer? 7 What is 13304 to the power of 1/10, to the nearest integer? 3 What is the square root of 12000 to the nearest integer? 110 What is the cube root of 76774 to the nearest integer? 43 What is 1115 to the power of 1/3, to the nearest integer? 10 What is 17437 to the power of 1/2, to the nearest integer? 132 What is 352 to the power of 1/2, to the nearest integer? 19 What is the seventh root of 18860 to the n
{ "pile_set_name": "DM Mathematics" }
ase 14, what is -4 + 1a3700? 1a36da In base 11, what is -32876 - 749? -33514 In base 10, what is 1295 + -55143? -53848 In base 9, what is 13 + 250051? 250064 In base 13, what is 3c03 + -192a3? -153a0 In base 10, what is 2 - 4078217? -4078215 In base 10, what is 18300 + -2589? 15711 In base 6, what is -3 + 11120251? 11120244 In base 12, what is 5394 - 20726? -17352 In base 10, what is 8 - -265756267? 265756275 In base 15, what is a32 - 10353? -e821 In base 16, what is -1476 - 334e? -47c4 In base 8, what is 10756513 + 1? 10756514 In base 3, what is 2220 - 202222101221? -202222022001 In base 5, what is -3444433311 - 40? -3444433401 In base 2, what is 1001010011100010010010 - 10101110? 1001010011011111100100 In base 9, what is -868478550 + 0? -868478550 In base 2, what is -10011000001101010111100 - 1? -10011000001101010111101 In base 12, what is 42b + -7406? -6b97 In base 14, what is -2c0 - -2a69? 2789 In base 8, what is -5423231 - -573? -5422436 In base 6, what is -15 - 12213351215? -12213351234 In base 7, what is -2 - -3533412330? 3533412325 In base 4, what is -102111 - 222003? -330120 In base 4, what is -3 - -2232023332133? 2232023332130 In base 7, what is 15 - -13423143? 13423161 In base 15, what is 37d2 - 17e93? -146b1 In base 8, what is -14 + -74302374? -74302410 In base 16, what is 20ab3766 - -2? 20ab3768 In base 4, what is -3 - 2320211101? -2320211110 In base 8, what is 2575225 - -65? 2575312 In base 6, what is -15140 - -23041? 3501 In base 2, what is -1011111110001111101 + -110111000? -1011111111000110101 In base 12, what is 2 + 2290681? 2290683 In base 5, what is 244 - 2003121? -2002322 In base 3, what is 21102002 + -1200120210? -1102011201 In base 12, what is 211ab0 + 8a? 211b7a In base 16, what is -6461 - c3? -6524 In base 13, what is 88 + 1cc96? 20051 In base 4, what is -13120 - 32220011? -32233131 In base 12, what is 83 + 755ab? 75672 In base 15, what is 0 + 1b45996? 1b45996 In base 9, what is 35 + 52657? 52703 In base 4, what is 102 - 2130331133102? -2130331133000 In base 2, what is -1110111001100100 - 11100100010? -1111010110000110 In base 15, what is -20a - -1540ed? 153de3 In base 13, what is -92626 - 2a2? -928c8 In base 15, what is 602 + 6a06c? 6a66e In base 2, what is 1110000011101011111 + -10001? 1110000011101001110 In base 6, what is 22303 + -1045333? -1023030 In base 16, what is 6e464 + -5d? 6e407 In base 13, what is -135656305 + -3? -135656308 In base 15, what is -ca - -1998? 18bd In base 6, what is 3032252 - -2011? 3034303 In base 8, what is -7301752 + 12? -7301740 In base 3, what is -1010210120101 + 220? -1010210112111 In base 10, what is 1 + -1670615? -1670614 In base 14, what is 442bc90 - 3? 442bc8b In base 11, what is -2138 + -83a4? -a531 In base 12, what is -2 - 11676b4? -11676b6 In base 12, what is -29 + 21ab? 2182 In base 4, what is -1203101 - 1012332? -2222033 In base 14, what is 249 + -27c8? -257d In base 7, what is 35004 - 220? 34454 In base 16, what is c - -374e23e? 374e24a In base 12, what is -12369190 - -1? -1236918b In base 2, what is 11 - 111000101101110000101101110? -111000101101110000101101011 In base 15, what is 4ca7 + b4d? 5905 In base 16, what is -287fe6 - 4? -287fea In base 2, what is 100 - -101100010110000010101011? 101100010110000010101111 In base 8, what is 0 - -157147262? 157147262 In base 14, what is -40 + -25c5c? -25c9c In base 14, what is -c7847 + 5? -c7842 In base 9, what is 222 - 67722? -67500 In base 4, what is 1 + -1002301332231? -1002301332230 In base 3, what is 11012121012 + 1002? 11012122021 In base 12, what is b + -1a6389b? -1a63890 In base 4, what is 2123231011 + -1321? 2123223030 In base 13, what is 3 + 169212? 169215 In base 11, what is -20634 + a06? -1a729 In base 14, what is 0 - -cbada65? cbada65 In base 15, what is 72a3121e + -2? 72a3121c In base 3, what is 11012102220 - 11111120? 11000221100 In base 15, what is 10b38b - -9b? 10b437 In base 10, what is 2 - 7056205? -7056203 In base 4, what is 111103333132222 + -1? 111103333132221 In base 9, what is -175 + 156023? 155737 In base 13, what is 2 - -185532b5? 185532b7 In base 9, what is -32268 - -11747? -20421 In base 14, what is -483 - -825? 382 In base 9, what is -10566543 - 5? -10566548 In base 8, what is 2170520 - 254? 2170244 In base 2, what is 10100001010011110111101011 + -11? 10100001010011110111101000 In base 12, what is -4 + -14260599? -142605a1 In base 12, what is -545573 - 4? -545577 In base 6, what is 4232444 + -120? 4232324 In base 14, what is 4461 + 13ba? 583b In base 8, what is 63360431 - -2? 63360433 In base 5, what is 13122210400 + -4? 13122210341 In base 4, what is -1222200 + 330012? -232122 In base 12, what is 934 - -684? 13b8 In base 2, what is -10 - 111010001110111001110010011? -111010001110111001110010101 In base 7, what is -41450 + 2456? -35661 In base 15, what is -5 + 2298e6c? 2298e67 In base 11, what is -207 - 2057? -2263 In base 8, what is -7060 - -10610? 1530 In base 9, what is 1 - -17276510? 17276511 In base 11, what is -165262700 + -5? -165262705 In base 3, what is 210 - -111012110? 111020020 In base 11, what is -16 + 1875a06? 18759a0 In base 8, what is -23142425 + -2? -23142427 In base 16, what is -e6dad + -5? -e6db2 In base 11, what is 4483857 + 3? 448385a In base 9, what is -2728443 + -1? -2728444 In base 3, what is -12202000 + -2010120? -21212120 In base 2, what is 11011 - -100101011101111010010? 100101011101111101101 In base 8, what is -4 + 5724451? 5724445 In base 15, what is 17 - -3e91b0? 3e91c7 In base 12, what is 2a28 - -2626? 5452 In base 3, what is -100000 + 121112010120? 121111210120 In base 9, what is 4 + 536432040? 536432044 In base 10, what is 2 + -3587681? -3587679 In base 13, what is -97 - -a89698? a89601 In base 16, what is 3 - 24ef55? -24ef52 In base 13, what is -5 + 3b640864? 3b64085c In base 2, what is 1010100000110011011 + -110010? 1010100000101101001 In base 9, what is -76 + -12855? -13042 In base 8, what is 516044 - 51? 515773 In base 9, what is -3 + 25858841? 25858837 In base 15, what is -152 + -23b81c? -23b96e In base 14, what is -65d816 - 5? -65d81b In base 16, what is -47af - -ba5? -3c0a In base 5, what is 2 - -40202424243? 40202424300 In base 9, what is -3 - 22134257? -22134261 In base 6, what is -1300214 + -14142? -1314400 In base 14, what is -ad - -1a1c76? 1a1ba7 In base 11, what is -11099 + -2245? -13333 In base 14, what is -d3d - -1c62? d23 In base 6, what is 42 - 11334521? -11334435 In base 9, what is 10064704 - 104? 10064600 In base 10, what is -6523503 - 2? -6523505 In base 7, what is 112 - 160265? -160153 In base 9, what is -21 - -72304838? 72304817 In base 7, what is -15402250 + -32? -15402312 In base 11, what is 16338 + 6a? 163a7 In base 6, what is -4451322 + 1305? -4450013 In base 3, what is -100 + -12202010111001? -12202010111101 In base 15, what is 1 - 2d6444? -2d6443 In base 8, what is -205457 - -67? -205370 In base 12, what is -3 - -1254879? 1254876 In base 12, what is -bb3 - 48a5? -5898 In base 2, what is 1010 + -1010011100110111101011? -1010011100110111100001 In base 8, what is -51 - -13577471? 13577420 In base 15, what is -17 + -9245c8? -9245e0 In base 2, what is 111 - 100101110111011010? -100101110111010011 In base 13, what is 0 + 74592ca? 74592ca In base 5, what is -4240 - -21430004? 21420214 In base 10, what is 3 + 42070929? 42070932 In base 16, what is 960f5 + 0? 960f5 In base 13, what is -1113b4 + 7? -1113aa In base 8, what is 506113 - 202? 505711 In base 14, what is -4c3 - -1448? d65 In base 9, what is 2037 + 4434? 6472 In base 8, what is 15 - -3217312? 3217327 In base 8, what is 12556074 - -54? 12556150 In base 16, what is -4 - -7b12? 7b0e In base 16, what is 1 - 4f3e23? -4f3e22 In base 16, what is 5 - 128dc01? -128dbfc In base 3, what is -22200 - -102210110? 102110210 In base 12, what is 10 - 50b52b5? -50b52a5 In base 15, what is 4a2 + -c7? 3ca In base 5, what is -12 - -243304231? 243304214 In base 16, what is 5 - -4b841c? 4b8421 In base 4, what is -203213033 - 333? -203220032 In base 11, what is -2a8 + -8332? -862a In base 2, what is 100100100 - 1010001000001010111? -1010000111100110011 In base 13, what is 111 + -19128? -19017 In base 3, what is -22221 - 210101201120? -210102001111 In base 3, what is -20 - 222211102112? -222211102202 In base 14, wha
{ "pile_set_name": "DM Mathematics" }
3 - 34*j**2 + 3*j - 1. Let n(q) = 14*b(q) + 3*t(q). Determine n(1). -23 Let r = 21 + 6. Suppose 6 = r*u - 24*u. Let v be (-2)/2*(u - 3). Let p(h) = -4*h**3 + 2*h**2 - 1. Give p(v). -3 Let o = -70 - -84. Suppose -10 = -6*h + o. Let z(j) = j - 3. Give z(h). 1 Let a = -12706 - -12723. Let q(s) = -s**3 + 19*s**2 - 33*s - 23. Give q(a). -6 Let x(s) = -5 + 2 + 2 + 0. Let u(i) = -16*i**3 - 4*i + 6. Let a(h) = -16*h**3 - 6*h + 7. Let r(k) = -3*a(k) + 4*u(k). Let p(d) = -r(d) - 4*x(d). Determine p(1). 15 Let u(y) = 1095*y - 12040. Let i be u(11). Let c(n) = -39*n + 213. Calculate c(i). 18 Let i = -1 - 325. Let c = -194 - i. Let n(z) = z**2 - 132*z + 1 + c*z. Determine n(0). 1 Let v = 39 - 37. Suppose -3*i + 7*i + 2 = 2*o, -i = v*o - 17. Let q(z) = 2*z + 8. Determine q(o). 22 Suppose -b + 1 = -3. Suppose 6*t - b*t - 24 = 0. Let q be (-7)/2 - t/8. Let i(x) = -2*x**2 - 6*x + 7. Calculate i(q). -13 Let b(k) = -3*k**2. Let x be b(-1). Let y(r) = 0*r - 4 - 8 + r + 4. Let l(w) = 4. Let h(c) = -5*l(c) - 2*y(c). Calculate h(x). 2 Suppose -18*z - 4*h = -19*z + 3, 0 = -2*z - h + 15. Let i(s) = -24 + s + 10 + z + 11. Calculate i(-2). 2 Let w be -2*(5 + -2 + -10). Let x(v) = -2*v**2 + 29*v - 4. What is x(w)? 10 Let k(g) be the second derivative of 3/4*g**4 + 0 + 75*g + 1/6*g**3 + 0*g**2. Let n be (1 + 0)*1/1. Calculate k(n). 10 Let p(c) = -c**3 + 2*c**2 + c. Let f be 25/(-4) - (-3)/12. Suppose 39*g + 1134 = -3*g. Let w be -4*(39/(-54) + f/g). Determine p(w). 2 Let j(o) = o**2 - 13*o - 26. Let u = 121 + -170. Let t = u - -64. Let q be j(t). Let r(c) = -c**2 + 6*c + 1. Determine r(q). 9 Let d(y) = -y**2 - 2*y - 1. Let i(h) = 3*h - 8 + 1 - 2*h - 3. Let l be i(6). Calculate d(l). -9 Let y = 14236 - 14238. Let b(d) = -3*d**2 + 4*d. Let l(a) = -a**2 + 2*a. Let z(q) = -6*b(q) + 13*l(q). What is z(y)? 16 Let y be (-21)/(-15) + 30/50. Let z(h) = 7*h + 6*h + 0*h + h - 22*h. Calculate z(y). -16 Let m(z) = 18*z - 2. Let b = 1689 - 1688. Determine m(b). 16 Suppose -23*p + 7 = -22*p - 2*b, -4*b = 4*p + 32. Let z(r) = 13*r + 67. Calculate z(p). 28 Suppose 0 = -15*x + 18*x - 246. Let y(n) = -159*n + 73*n + x*n - 6. Determine y(5). -26 Let o = -320 + 171. Let i = 7 + 150. Let x = o + i. Let n(w) = -w**3 + 7*w**2 + 7*w + 3. Give n(x). -5 Let w(z) = -10*z + 136*z - 5*z**2 - 84 - 86 - z**3 - 87 + 251. Determine w(9). -6 Suppose -5*o + 5*x + 0 = -5, x + 10 = 4*o. Suppose h + r - 12 = 0, -o*h - 5*r = -27 - 11. Let f(i) = 3*i**2 - h*i**2 + 12*i**2 + 5 + i**3. What is f(-4)? 5 Let k(f) = -f**3 - 10*f**2 - 7. Let q(o) = -2*o**3 - 20*o**2 - 46*o + 3. Let h be q(-6). Give k(h). -88 Let v = 15304 - 15306. Let j(a) = -a**2 - a. Let y be j(-1). Let n(s) = y*s - 1 + s + 2. Give n(v). -1 Let b = -1 + 1. Let q(t) = -t**2 + 38*t - 350. Let w be q(16). Let s(p) = -25*p**2 - 14*p**2 - 9 + 38*p**w. Calculate s(b). -9 Suppose -2*t - 3*t + 22 = -3*l, 0 = -2*l - 4*t + 22. Let h be (((-42)/(-18))/(-7))/((-2)/6). Let g(x) = h - 15*x - 16*x + 2*x + 13*x. What is g(l)? -15 Let l(w) = -w**2 + 14*w - 37. Let v(c) = -4*c**2 + 107*c - 333. Let o be v(23). Determine l(o). -13 Suppose 2*m = -5*i + 21, -2*m + 4 = -2. Let g(k) be the third derivative of k**6/120 - k**5/15 + k**4/24 + 2*k**3/3 - 9522*k**2. Give g(i). -2 Suppose 0 = 11*g + 246 - 312. Suppose -g*d + 12*d = -12. Let p(n) = -2*n**2 + 1. Determine p(d). -7 Let w = 19 - 17. Let m(v) = -70*v**2 + 2*v - 2 + 72*v**w - 2*v. Let d(t) = -9*t**2 + t + 11. Let a(f) = -2*d(f) - 11*m(f). What is a(-2)? -12 Let k(o) = o**3 - o**2 - 5*o + 9. Let l be k(3). Let q be (-4)/6 - 16/l. Let u(a) = -8*a. What is u(q)? 16 Suppose -2*n + 58 + 42 = 0. Let c(r) = -n + 13 - 8*r - 4*r + 31. Calculate c(-4). 42 Let t(s) = -45*s + 129. Let x be (588/(-24) - -22)*(1/(-5) - 1). Determine t(x). -6 Let j(a) = a**3 - 12*a**2 + 10*a + 3. Let v(c) = c**3 + 32*c**2 - 12*c - 374. Let b be v(-32). Give j(b). -97 Let w(o) = -o**2 + o + 5. Let f be w(0). Let t(m) be the first derivative of -5/2*m**2 - 4/3*m**3 + 49 - m + 1/4*m**4. What is t(f)? -1 Let b = -5604 + 5611. Let d(j) = 5*j - 29. Determine d(b). 6 Let s(x) = -19*x**2 - 50*x + 50. Let n(i) = -134*i + 21709. Let j be n(162). What is s(j)? -19 Let i(m) = m**2 + 10*m - 5. Let g(o) = -2*o**3 + 2*o**2 + 3*o + 1. Let s be g(-1). Let b be (-4)/(-10) - ((-124)/(-10) - s). Give i(b). -5 Let b(s) = -4*s + 10 - 1 + 3*s + 5. Let z be b(22). Let r be z/6 - (-273)/63. Let a(y) = y**2 - 3*y - 1. Determine a(r). -1 Suppose h + 25 = -4*h. Let a(v) = 41*v**2 - 302*v + 45. Let x(q) = -12*q**2 + 88*q - 13. Let c(b) = -7*a(b) - 24*x(b). Calculate c(h). 12 Let o(n) = 3*n**3 - 8*n**2 - 9*n. Let q be o(-1). Let u(z) = 30*z + 56. What is u(q)? -4 Let o(i) = 2*i + 17. Let g(k) = k + 17. Let r(l) = 4*g(l) - 3*o(l). Let w = 7669 + -7658. What is r(w)? -5 Let r(k) = -k**3 + 5*k**2 + k - 5. Suppose -4*s = 11*s - 240. Suppose s*u - 2*u = 70. What is r(u)? 0 Let t(k) = -2*k**3 + 19*k**2 + 16*k - 50. Suppose 120 = 71*a - 59*a. What is t(a)? 10 Let k(y) = -10*y - 49. Let c be (20/7 - 4)*(-4)/(-32)*28. Calculate k(c). -9 Let a(s) be the third derivative of -s**4/12 - 52*s**3/3 + 107*s**2 + 20*s. Give a(-25). -54 Let m(p) = p**2 + 6*p - 3. Let q be (2 + -3)/(-1)*5. Let f(w) = -6*w**3 - 119*w**2 + 20*w - 11. Let d be f(-20). Let b = d + q. Give m(b). -3 Let s(g) = g + 4. Suppose 4*l - 252 = -2*l. Suppose 14*y = 84 + l. What is s(y)? 13 Let r(a) = -a**3 - 22*a**2 - 47*a - 532. Let v be r(-21). Let h(g) be the first derivative of -1/2*g**2 - v - g. What is h(-5)? 4 Let c(v) = -8 - 4*v - 114 + 101. Calculate c(-7). 7 Let l = 14 + -5. Let x(s) be the third derivative of s**4/24 + 3*s**3/2 - 58885*s**2. Give x(l). 18 Suppose -3*l - 4*x = 25, 2*x = l + 3*x + 8. Let b(i) be the first derivative of -i**3/3 - 2*i**2 + 8*i + 151. Determine b(l). -13 Let d(g) be the third derivative of g**7/2520 + 7*g**6/720 - g**5/30 - g**4 - 21*g**2. Let b(y) be the second derivative of d(y). What is b(-8)? 4 Suppose 115*n + 1113 - 2729 = -1271. Let t(s) = 3*s**2 + 7*s - 7. Let j(r) = -4*r**2 - 10*r + 10. Let y(a) = -5*j(a) - 7*t(a). What is y(n)? -7 Let x(h) = 6*h - 12. Let d(t) = 0 - 2 - 2 + 5*t - 8. Let q(c) = 4*d(c) - 3*x(c). Give q(0). -12 Suppose 27*f = 1111 + 779. Let m(p) = 5*p - 80*p**2 - 1 - 1 + 219*p**2 + p**3 - f*p**2 - 77*p**2. Determine m(6). -44 Let y(d) = 40*d**2 - 3*d + 6. Let w(k) = -47*k**2 + 3*k - 6. Let r(f) = -6*w(f) - 7*y(f). Calculate r(4). 38 Let q(t) be the second derivative of t**6/120 - t**5/15 - 5*t**4/24 + 2*t**3/3 - 23*t**2 - 33*t. Let p(l) be the first derivative of q(l). Calculate p(5). 4 Let w(v) = -4*v**3 - v**2 + 13*v. Let c(o) = -3*o**3 - 2*o**2 + 10*o - 1. Let p(f) = -3*c(f) + 2*w(f). Determine p(2). 19 Suppose -247 = -3*n - 217. Suppose -n*t = -5*g - 13*t - 28, -4*g + 3*t = 17. Let j(l) be the first derivative of -l**2/2 - 4*l + 1. Calculate j(g). 1 Let l(t) be the first derivative of t**4/4 + 5*t**3/3 - 7*t**2/2 + 2*t - 15. Let z be l(-6). Let c(y) = 6*y - 6 - y - z*y. Give c(-4). 6 Let d(s) = -s**2 + 4*s - 1. Let b(t) = 2*t**3 + t**2 - 2*t + 1. Let p = 27 - 20. Suppose 6 = 3*r - 2*u - 1, -5*r + u + p = 0. Let q be b(r). Calculate d(q). 3 Let o(k) = 16*k**3 - k**2 - 2*k + 5. Let y be o(2). Let q = y - 104. Let j(s) = 20 + s - 23 - s**2 + q. What is j(0)? 18 Suppose 2*d - 12 - 2 = 3*k, 5*k = -5*d - 40. Let m = 49 - 40. Let i(p) = -6*p + m - p**3 - 2 - 12*p**2 + 0*p + 5*p**2. Calculate i(k). 7 Let z(u) = u + 3. Let q be z(2). Let m = q + -6. Let x(c) be the first derivative of 3*c**2/2 + c + 50. Give x(m). -2 Let q(r) be the first derivative of -r**4/4 - 3*r**3 - 2*r - 1297. Let v be (-51)/6 - 3/6. Give q(v). -2 Let v(o) = o**3 + 5*o**2 - 7*o - 2. Let b(g) = -g + 73 + 4*g - 2*g - 2*g. Let j be b(0). Let r = 67 - j. What is v(r)? 4 Let w = -180 - -175. Let n(x) be the second derivative of -x**3 - x**2 + 282*x. Determine n(w). 28 Let p(l) = -34*l**2. Let n(o) = 10*o + 30. Let x be n(-5). Let d = x + 21. Give p(d). -34 Let p(z) = -4*z + 56. Let f(m) = -13*m + 169. Let s(l) = f(l) - 3*p(l). Let k(x) = -x - 3. Let a be k(-7). Give s(a). -3 Let t(d) = -2*d**3 - 58*d**2 + 3*d + 74. Let l be t(-29). Let n(i) = -i**2 - 15*i + 34. What is n(l)? 60 Suppose -27*a + 265 + 50 = -90*a. Let c(l) = 9*l + 45. Calculate c(a). 0 Let o = -2429 - -2423. Let w(g) = -10. Let l(i)
{ "pile_set_name": "DM Mathematics" }
**(-319/114) Simplify (t*t*t**(-5/4)*t)**(-34) assuming t is positive. t**(-119/2) Simplify ((n/n**(2/5))/n**(-2/11))**(-30) assuming n is positive. n**(-258/11) Simplify (q/q**(-8))/q**9*q**(-1/12)/(q/(q**(3/8)/q)) assuming q is positive. q**(-41/24) Simplify s/(s/(s/(s*s**(-3/14)*s*s)*s))*s**(1/36) assuming s is positive. s**(-191/252) Simplify (p**8*p*(p*p**(1/10)*p)/p)**(-1/38) assuming p is positive. p**(-101/380) Simplify w**(3/5)*w*w**3*((w**(-3/4)/w*w*w)/w)/(w*w**(-2)*w*w) assuming w is positive. w**(57/20) Simplify (v**(-5/6)/v*v*v*v**(3/7)*v)/((v/((((v*v/v**(2/9))/v)/v*v*v)/v*v*v))/((v*v**(-1/2)/v)/v)) assuming v is positive. v**(118/63) Simplify (b**(-5))**18 assuming b is positive. b**(-90) Simplify (l*l/(l**0*l)*l)**33/(l*l*l**1)**(-17) assuming l is positive. l**117 Simplify (f/((f/f**(-5/2)*f)/f))**47 assuming f is positive. f**(-235/2) Simplify ((q/((q*q**15)/q)*q)/(q/(q/(q*q/(q**(4/3)/q)))))**(10/9) assuming q is positive. q**(-440/27) Simplify (d**(-16))**(-16) assuming d is positive. d**256 Simplify (((g**(-3/8)/g)/g*g)/g)/g**(-5) assuming g is positive. g**(21/8) Simplify (u*u/(u*u*u**2*u)*u)**(-20)*u**4*u*u*u**(2/5)/u assuming u is positive. u**(227/5) Simplify (b/(b**5*b))**(14/5) assuming b is positive. b**(-14) Simplify (p**3/(p/(p/(p/(p/(p*p**(2/5)/p)*p)))))**(-1/45) assuming p is positive. p**(-2/25) Simplify (y**(-7)/y**(-1/2))/(y/((y*y*(y**10*y)/y)/y)*(y**(-8)*y)/y) assuming y is positive. y**(23/2) Simplify ((j/(j*j*j*j**0*j))/j)**(1/39) assuming j is positive. j**(-4/39) Simplify ((m/(m/m**(-1/22)))/(m/(m*m**(3/11))))**(3/43) assuming m is positive. m**(15/946) Simplify (((v/v**(-1))/v*v)**(-32))**27 assuming v is positive. v**(-1728) Simplify ((j/j**0)**(-20/9))**(5/6) assuming j is positive. j**(-50/27) Simplify (w**(1/2)/w**(-4/7))/(w/(w**(-1)*w)*w**1*w) assuming w is positive. w**(-27/14) Simplify a**(-24)*a*a**(-1/4)*a assuming a is positive. a**(-89/4) Simplify (b/(b*b**17*b))/(b*b/(((b/b**5)/b*b)/b)*b) assuming b is positive. b**(-26) Simplify b/b**(-1/4)*b*b/b**(1/8)*b/(b**2/b)*b/b**(-2/19)*b*b assuming b is positive. b**(947/152) Simplify (c*c**1)**(-1)/(c**4*c/(c**8/c)) assuming c is positive. 1 Simplify (m**0)**(3/20)/(m**(-7)/m**(2/15)) assuming m is positive. m**(107/15) Simplify (n**(-1))**(1/4)/(n**8/n**(1/8)) assuming n is positive. n**(-65/8) Simplify ((x/(x**23*x)*x*x)/x)/((x/(x*x*x/x**(-19)*x*x))/x) assuming x is positive. x**2 Simplify w/(((w*w*w*w**(-3/5))/w)/w*w*w)*w/((w/(w*w**(-11/6)))/w) assuming w is positive. w**(-37/30) Simplify s*(s*s*s**40/s)/s*s/s**(-41) assuming s is positive. s**83 Simplify (n**2)**50*n/(n/n**(-7/5))*n*n*(n**(-3/2)/n)/n*n assuming n is positive. n**(981/10) Simplify b**(2/13)/((b**(-2/5)/b)/b)*(b*b**(1/2))/(b/(b/(b/(b*b**7*b*b*b)))) assuming b is positive. b**(1827/130) Simplify ((v*v**(-2/19)*v)/v)/v*v**(-2/9)*v*v**(-6/7)*v**(-3/5) assuming v is positive. v**(-4696/5985) Simplify (k/((k*k**0)/k*k))**(1/17)*((k/k**(-6)*k)/k)/k**(2/9) assuming k is positive. k**(61/9) Simplify a**(5/4)/((a**8*a*a)/a)*(a/(a**(4/7)*a)*a)/a*a**(-4/7) assuming a is positive. a**(-249/28) Simplify (x**(2/15))**31 assuming x is positive. x**(62/15) Simplify (j*j*((j/(j*j**(-4/5)))/j)/j)/j*j*j**(-7/5) assuming j is positive. j**(-3/5) Simplify (n/n**(1/9))**28 assuming n is positive. n**(224/9) Simplify (i*i**(-4/3)*i)**(-43) assuming i is positive. i**(-86/3) Simplify (s**(4/13)*s*s*s*s)/((s**(1/7)/s*s)/s) assuming s is positive. s**(470/91) Simplify (b*(b**(-1/11)*b)/b)**(4/15) assuming b is positive. b**(8/33) Simplify x*(x/(x/(x*(x/x**44)/x)*x))/x*x**46*x*x assuming x is positive. x**4 Simplify ((g**(2/21)/g*g)/g*g**0*g)**(7/4) assuming g is positive. g**(1/6) Simplify (t**7*t**(2/27))**39 assuming t is positive. t**(2483/9) Simplify (u*u*u*(u**(-3/8)*u*u)/u*u)/(u*u/u**14) assuming u is positive. u**(133/8) Simplify (((o*o/((o*o/(o**(-1/13)/o)*o)/o))/o)/o**(-1))/((o/(o*o*(o*o*o**(2/7))/o))/o**6) assuming o is positive. o**(656/91) Simplify (a**2)**(1/30)*(a*a**2)**(-13/4) assuming a is positive. a**(-581/60) Simplify (c*c**(-1/2)*c**(-6))**(-45) assuming c is positive. c**(495/2) Simplify b*b**14/b*(b/b**(-9/7))/b assuming b is positive. b**(107/7) Simplify t**(-2/51)/(t*t**44/t*t) assuming t is positive. t**(-2297/51) Simplify (t**(-7/8))**(-2/3) assuming t is positive. t**(7/12) Simplify (k**0*k)**(-16/7)*(k**1*k)**(-37) assuming k is positive. k**(-534/7) Simplify t**3*t**(-12) assuming t is positive. t**(-9) Simplify (i*i/i**(-20)*i*i)**(-50) assuming i is positive. i**(-1200) Simplify (b*b/(b*b*b/b**(2/11)*b*b)*b**8/b*b*b)/(b**(-2))**(4/13) assuming b is positive. b**(972/143) Simplify f*f*f/(f/(f/(f/(f/(f/(f*f*f/((f*(f*f*f**(-6))/f)/f))))))*f)*f/(f*f**(-6)/f*f) assuming f is positive. f**15 Simplify (b**(-2/39)*b*b**(-6))**(-1/4) assuming b is positive. b**(197/156) Simplify (h**(1/5)/(h**3*h))**(-11) assuming h is positive. h**(209/5) Simplify t**(-2/17)*t**0*(t*t**3*t)/(t/(t/t**(-5)*t)) assuming t is positive. t**(185/17) Simplify (((v**(4/9)/v)/v)/(v*v*v*v**(2/9)/v))/(v/((v*((v**3/v)/v)/v)/v)*v**0) assuming v is positive. v**(-43/9) Simplify (p**2/((p**10/p)/p))/(p**(-4/7)/p*p*p**(-3/4)) assuming p is positive. p**(-131/28) Simplify (m*m**(-2/19)*m)**(-15) assuming m is positive. m**(-540/19) Simplify (s*s*s*s**1/s*s)**(-6/5)/(s/((s/(s*s*s**(2/3)/s))/s))**(-7/6) assuming s is positive. s**(-76/45) Simplify ((v*v**(2/5))**39)**(8/7) assuming v is positive. v**(312/5) Simplify g/((g*g**(2/11)/g*g*g)/g)*g**(-1/2)*g*g*g/g**(-1)*g**(4/3) assuming g is positive. g**(307/66) Simplify (u*u/(u**1*u)*u*u)**(-3/22)*u**(7/4)/u*u**5 assuming u is positive. u**(241/44) Simplify z**(-2/11)*z*z**(-6) assuming z is positive. z**(-57/11) Simplify (((k**(7/2)/k)/k)/(k*k**6*k))**(-11/4) assuming k is positive. k**(143/8) Simplify (m**(-23)*m*m*m**8)**(-2/15) assuming m is positive. m**(26/15) Simplify o*(o*o**(-7)*o)/o*o**(2/3) assuming o is positive. o**(-13/3) Simplify (h**(1/4)/h*h)**(-21)/(((h/(h*(h*h**(-2))/h*h*h))/h)/h**(3/7)) assuming h is positive. h**(-107/28) Simplify t**(-1/12)*t*(t*t/t**(1/2)*t)/t*(t*t/(t*(t*t*t*t**(1/6))/t*t))/t**(-8) assuming t is positive. t**(33/4) Simplify ((a/((a*a**(-2/3)*a*a)/a)*a)/a)**(-36)*a**(-4)*a/(a*a**9/a) assuming a is positive. 1 Simplify (r/r**(-1/6)*r*r**5)/(r/(r*r/(r/(r*(r/(r/r**(2/5)*r))/r)))*r*r**(-4)/r) assuming r is positive. r**(317/30) Simplify (o*o**(-3/2))**(13/2)/(o/(o*o/o**(2/3)))**(-29) assuming o is positive. o**(-155/12) Simplify (n**(-4)*n*n**8)/((n**(-2/7)/n)/n)**(10/9) assuming n is positive. n**(475/63) Simplify t**(-1/12)/t**(-17) assuming t is positive. t**(203/12) Simplify (a/a**(-2/21)*a**(-1/4)/a*a)**(-48) assuming a is positive. a**(-284/7) Simplify ((y*y**14)/y)**16 assuming y is positive. y**224 Simplify i**(-3)*(i**(-10)*i)/i*i*i**(-2/19)*i*i/(i/(i**(-2)/i)*i) assuming i is positive. i**(-287/19) Simplify (j**(-2/79)*j*j)/(j/((j**(-1/4)*j)/j)) assuming j is positive. j**(229/316) Simplify p/p**(-16)*p**21 assuming p is positive. p**38 Simplify ((o/(o**(-2)*o))/o)**(3/11) assuming o is positive. o**(3/11) Simplify q**15/(q/q**11) assuming q is positive. q**25 Simplify (o**(2/13))**(1/43) assuming o is positive. o**(2/559) Simplify (z*z/(z*z**2))**(-35)/((((z/z**(-1/5))/z)/z)/(z*z**7*z)) assuming z is positive. z**(224/5) Simplify (t*t/(((t*(t/t**5)/t)/t)/t)*t*t*t/t**(-5))**(4/21) assuming t is positive. t**(64/21) Simplify (z/(z**(-7)*z))/z**(-9)*(((z*z*z**(4/7)*z)/z)/z*z)/(z*z**(4/5)*z) assuming z is positive. z**(552/35) Simplify (g/(g*g/(g/g**(-6))*g))**(3/14) assuming g is positive. g**(15/14) Simplify (f**(2/19)*f)/f*f*(f*f*f*f/(f/((f*f*(f/(f*f*f*f**0))/f*f)/f)))/f assuming f is positive. f**(40/19) Simplify (k**(-1/10)/(k**(1/8)*k))/((k**(-2)/k)/(k*k**0)) assuming k is positive. k**(111/40) Simplify (f**1)**(-5)*(f/f**6)/((f**(-2/11)/f)/f) assuming f is positive. f**(-86/11) Simplify (y**2/y)**(-32) assuming y is positive. y**(-32) Simplify f/(f**(-3/13)/f)*f**(4/17)*f*f assuming f is positive. f**(987/221) Simplify (t/((t**(2/15)*t*t)/t))/(t/t**(-5/2))*(t/t**(1/6))/(t**(-2/3)/t) assuming t is positive. t**(-17/15) Simplify x**(-41)*x**(2/47) assuming x is positive. x**(-1925/47) Simplify (b**0*b*b)/(b*b*b**(-5)*b*
{ "pile_set_name": "DM Mathematics" }
of a litre in millilitres? 10400 What is 4/3 of a minute in milliseconds? 80000 What is 27/2 of a day in minutes? 19440 What is 0.1121884t in nanograms? 112188400000000 What is 40652.5 millennia in months? 487830000 How many micrometers are there in thirty-three fifths of a millimeter? 6600 How many millilitres are there in 17/4 of a litre? 4250 How many years are there in 1/5 of a century? 20 Convert 606.5466 decades to centuries. 60.65466 Convert 79.46605 milligrams to tonnes. 0.00000007946605 What is 17/4 of a litre in millilitres? 4250 How many kilograms are there in five quarters of a tonne? 1250 How many kilometers are there in 4459.698cm? 0.04459698 How many months are there in 25/2 of a decade? 1500 What is 1/20 of a milligram in micrograms? 50 Convert 93612.91l to millilitres. 93612910 Convert 50822.091ns to hours. 0.0000000141172475 How many hours are there in eighteen sevenths of a week? 432 What is 3/5 of a litre in millilitres? 600 What is 13/5 of a microgram in nanograms? 2600 How many decades are there in three fifths of a millennium? 60 What is 6.321272kg in nanograms? 6321272000000 How many nanograms are there in three fifths of a microgram? 600 What is 1/4 of a meter in millimeters? 250 What is 1750510.98 microseconds in days? 0.00002026054375 Convert 775511.5 meters to centimeters. 77551150 How many nanometers are there in 3/8 of a micrometer? 375 How many kilograms are there in seventeen halves of a tonne? 8500 What is 578.732km in nanometers? 578732000000000 What is 0.9422638 centuries in millennia? 0.09422638 How many millimeters are there in twenty-five halves of a centimeter? 125 How many milligrams are there in 64.53926 nanograms? 0.00006453926 What is 55.86887 microseconds in nanoseconds? 55868.87 What is 19/4 of a millennium in decades? 475 Convert 561.6393 weeks to microseconds. 339679448640000 How many micrograms are there in 1/20 of a milligram? 50 Convert 27.14592l to millilitres. 27145.92 What is 877.481us in milliseconds? 0.877481 What is 1/4 of a minute in milliseconds? 15000 How many kilograms are there in 59829.53mg? 0.05982953 Convert 416915.7 millilitres to litres. 416.9157 Convert 492.7034l to millilitres. 492703.4 What is 663.4323um in centimeters? 0.06634323 How many kilograms are there in 1027.06 nanograms? 0.00000000102706 How many seconds are there in 1/70 of a week? 8640 What is 5/6 of a minute in milliseconds? 50000 What is twenty-seven quarters of a litre in millilitres? 6750 What is three eighths of a day in hours? 9 What is one tenth of a millisecond in microseconds? 100 Convert 9.4716 kilograms to grams. 9471.6 What is 3547.339l in millilitres? 3547339 Convert 0.0317352 millilitres to litres. 0.0000317352 What is 2524.407 millennia in centuries? 25244.07 How many milligrams are there in 19/4 of a gram? 4750 What is 51/5 of a century in decades? 102 Convert 347444.8 minutes to seconds. 20846688 What is 7/4 of a kilometer in meters? 1750 How many litres are there in 1.552014ml? 0.001552014 How many millilitres are there in 244.0127l? 244012.7 How many milligrams are there in fourty-one halves of a gram? 20500 What is 34/5 of a centimeter in millimeters? 68 What is 8/25 of a kilogram in grams? 320 What is 91/4 of a litre in millilitres? 22750 What is 32/5 of a micrometer in nanometers? 6400 Convert 55864.29l to millilitres. 55864290 What is 1.530867ns in microseconds? 0.001530867 How many nanometers are there in 3/25 of a micrometer? 120 How many years are there in fourty-six fifths of a millennium? 9200 What is three eighths of a micrometer in nanometers? 375 How many micrometers are there in five eighths of a millimeter? 625 What is 207.18894us in minutes? 0.000003453149 Convert 1.98347 centimeters to meters. 0.0198347 How many years are there in 2119438.8 months? 176619.9 How many seconds are there in 45221.84ns? 0.00004522184 What is fourty-four fifths of a litre in millilitres? 8800 Convert 1.498662cm to kilometers. 0.00001498662 How many seconds are there in seven quarters of a minute? 105 Convert 3.501891 millilitres to litres. 0.003501891 What is 7/8 of a microgram in nanograms? 875 Convert 278.954 meters to nanometers. 278954000000 How many nanometers are there in fifteen quarters of a micrometer? 3750 What is 7247.65 years in centuries? 72.4765 How many millimeters are there in seven halves of a centimeter? 35 How many meters are there in 0.8431651mm? 0.0008431651 How many seconds are there in fourty-nine fifths of a minute? 588 How many months are there in seven sixths of a millennium? 14000 What is seven sixteenths of a week in minutes? 4410 What is seven quarters of a kilogram in grams? 1750 What is 0.0315573 milliseconds in minutes? 0.000000525955 What is twenty-nine sixths of a century in months? 5800 How many grams are there in 7/2 of a kilogram? 3500 Convert 727196.9l to millilitres. 727196900 What is 29.21376 nanograms in tonnes? 0.00000000000002921376 How many micrograms are there in 3/25 of a milligram? 120 What is 74557.77 weeks in microseconds? 45092539296000000 What is 330.2902 millilitres in litres? 0.3302902 What is 1/20 of a week in minutes? 504 Convert 725.8016l to millilitres. 725801.6 How many millimeters are there in 668.1172 kilometers? 668117200 How many litres are there in 98.69623ml? 0.09869623 Convert 597.731 decades to centuries. 59.7731 How many millilitres are there in 3/40 of a litre? 75 Convert 824.7202mm to meters. 0.8247202 Convert 9823.921 centuries to months. 11788705.2 How many minutes are there in fifty-five thirds of a day? 26400 How many kilograms are there in twenty-five halves of a tonne? 12500 How many centimeters are there in seven quarters of a meter? 175 What is 43/2 of a kilometer in meters? 21500 What is twenty-five eighths of a millimeter in micrometers? 3125 How many nanograms are there in twenty-one fifths of a microgram? 4200 How many months are there in 5243.841 decades? 629260.92 Convert 649.0968g to micrograms. 649096800 What is 9147.059m in millimeters? 9147059 What is 48.0813 millilitres in litres? 0.0480813 How many seconds are there in five eighths of a day? 54000 What is thirteen fifths of a millennium in decades? 260 What is 6.5092167 seconds in hours? 0.00180811575 Convert 0.9941742ml to litres. 0.0009941742 How many meters are there in fourty-five eighths of a kilometer? 5625 What is six fifths of a tonne in kilograms? 1200 What is 211.94292 hours in weeks? 1.261565 How many microseconds are there in thirteen quarters of a millisecond? 3250 Convert 14096.2ng to grams. 0.0000140962 Convert 72878.25 months to centuries. 60.731875 How many years are there in 2.530023 millennia? 2530.023 How many litres are there in 472973.3ml? 472.9733 How many micrograms are there in 98.13012t? 98130120000000 What is 13/4 of a centimeter in micrometers? 32500 What is 3898.802 years in millennia? 3.898802 What is 90.8385ml in litres? 0.0908385 What is 73169.44 millennia in decades? 7316944 How many years are there in fifty-seven halves of a decade? 285 What is seventeen quarters of a day in minutes? 6120 How many centimeters are there in fourty-eight fifths of a meter? 960 What is one twentieth of a kilogram in grams? 50 What is 4/15 of a decade in months? 32 What is 7.686546 hours in nanoseconds? 27671565600000 Convert 971.5469cm to millimeters. 9715.469 What is 12/25 of a micrometer in nanometers? 480 How many nanograms are there in fifty-nine fifths of a microgram? 11800 What is 3/25 of a microgram in nanograms? 120 How many grams are there in 61.79015 milligrams? 0.06179015 How many months are there in twenty-seven halves of a year? 162 What is 2/15 of a week in seconds? 80640 How many millilitres are there in 3/50 of a litre? 60 What is thirteen fifths of a hour in seconds? 9360 What is 36793.95ug in milligrams? 36.79395 How many milligrams are there in twenty-five quarters of a gram? 6250 What is 36.70808 nanoseconds in milliseconds? 0.00003670808 How many millennia are there in 43.6684 decades? 0.436684 How many months are there in three tenths of a decade? 36 How many decades are there in thirteen quarters of a millennium? 325 How many centuries are there in 883.1385 decades? 88.31385 How many minutes are there in 21/2 of a hour? 630
{ "pile_set_name": "DM Mathematics" }
tors of 9382096. 2, 17, 2029 What are the prime factors of 313986? 2, 3, 43, 1217 What are the prime factors of 389039? 7, 149, 373 List the prime factors of 1210386. 2, 3, 201731 List the prime factors of 884949. 3, 13, 22691 List the prime factors of 482890. 2, 5, 43, 1123 List the prime factors of 4942126. 2, 7, 223, 1583 List the prime factors of 23815991. 23815991 What are the prime factors of 346270? 2, 5, 31, 1117 What are the prime factors of 235089? 3, 8707 What are the prime factors of 1367860? 2, 5, 13, 5261 What are the prime factors of 48735? 3, 5, 19 List the prime factors of 1114407. 3, 7, 19 What are the prime factors of 4682644? 2, 1170661 List the prime factors of 14462079. 3, 37, 113, 1153 List the prime factors of 212617. 173, 1229 List the prime factors of 5380121. 5380121 What are the prime factors of 2566669? 7, 1069 What are the prime factors of 261167? 261167 What are the prime factors of 578526? 2, 3, 13, 7417 List the prime factors of 522152. 2, 65269 What are the prime factors of 428784? 2, 3, 8933 What are the prime factors of 2264334? 2, 3, 107, 3527 What are the prime factors of 42515487? 3, 7, 17, 53, 107 What are the prime factors of 959145? 3, 5, 11, 5813 List the prime factors of 1853114. 2, 926557 List the prime factors of 1757292. 2, 3, 23, 6367 What are the prime factors of 1432381? 37, 38713 What are the prime factors of 20581534? 2, 10290767 What are the prime factors of 507630? 2, 3, 5, 16921 What are the prime factors of 2878736? 2, 7, 25703 What are the prime factors of 4700943? 3, 13, 59, 227 List the prime factors of 5283169. 23, 229703 List the prime factors of 488877. 3, 89, 1831 What are the prime factors of 661141? 13, 50857 List the prime factors of 1405. 5, 281 List the prime factors of 720979. 7, 127, 811 List the prime factors of 1224932. 2, 373, 821 What are the prime factors of 493974? 2, 3, 13, 2111 List the prime factors of 1850866. 2, 19, 53, 919 What are the prime factors of 2099943? 3, 233327 What are the prime factors of 761727? 3, 253909 List the prime factors of 200982. 2, 3, 19, 41, 43 List the prime factors of 24543936. 2, 3, 42611 List the prime factors of 29071135. 5, 5814227 List the prime factors of 22269. 3, 13, 571 List the prime factors of 6956614. 2, 7, 496901 What are the prime factors of 16216059? 3, 157, 34429 What are the prime factors of 157430? 2, 5, 7, 13, 173 What are the prime factors of 5205285? 3, 5, 131, 883 What are the prime factors of 788872? 2, 7, 14087 What are the prime factors of 3665894? 2, 1832947 List the prime factors of 54916. 2, 13729 List the prime factors of 1832900. 2, 5, 18329 List the prime factors of 11637241. 7, 11, 23, 6571 List the prime factors of 1083720. 2, 3, 5, 11, 821 List the prime factors of 24167436. 2, 3, 67, 30059 List the prime factors of 2320199. 7, 47351 What are the prime factors of 326578? 2, 7, 23327 What are the prime factors of 754693? 43, 17551 List the prime factors of 10767545. 5, 17, 131, 967 What are the prime factors of 373819? 23, 16253 What are the prime factors of 5054163? 3, 37, 45533 List the prime factors of 416414. 2, 208207 What are the prime factors of 440478? 2, 3, 2719 What are the prime factors of 70001? 70001 List the prime factors of 9976174. 2, 13, 29, 101, 131 What are the prime factors of 9198469? 7, 107, 12281 List the prime factors of 4333300. 2, 5, 17, 2549 List the prime factors of 4219968. 2, 3, 31, 709 List the prime factors of 633246. 2, 3, 105541 What are the prime factors of 171348? 2, 3, 109, 131 What are the prime factors of 476771? 307, 1553 List the prime factors of 258370. 2, 5, 7, 3691 List the prime factors of 461275. 5, 18451 List the prime factors of 2065865. 5, 263, 1571 List the prime factors of 6025189. 157, 38377 What are the prime factors of 15737646? 2, 3, 31, 211, 401 List the prime factors of 1550031. 3, 7, 31, 2381 List the prime factors of 4227964. 2, 13, 81307 List the prime factors of 44792. 2, 11, 509 List the prime factors of 8135874. 2, 3, 127, 3559 What are the prime factors of 230493? 3, 76831 What are the prime factors of 67215? 3, 5, 4481 What are the prime factors of 28162795? 5, 17, 421, 787 What are the prime factors of 4143253? 4143253 What are the prime factors of 983998? 2, 53, 9283 What are the prime factors of 19266633? 3, 541, 1319 List the prime factors of 100773. 3, 11197 List the prime factors of 33456. 2, 3, 17, 41 List the prime factors of 186164. 2, 11, 4231 What are the prime factors of 928352? 2, 67, 433 What are the prime factors of 2068473? 3, 11, 19, 3299 What are the prime factors of 224731? 13, 59, 293 List the prime factors of 6043424. 2, 188857 What are the prime factors of 135189? 3, 1669 What are the prime factors of 162174? 2, 3, 151, 179 What are the prime factors of 1633524? 2, 3, 197, 691 What are the prime factors of 3562666? 2, 383, 4651 What are the prime factors of 140617? 140617 List the prime factors of 361531. 361531 List the prime factors of 672305. 5, 43, 53, 59 List the prime factors of 150934. 2, 7, 10781 List the prime factors of 13079096. 2, 101, 16187 What are the prime factors of 1523660? 2, 5, 29, 37, 71 List the prime factors of 26796. 2, 3, 7, 11, 29 What are the prime factors of 230725? 5, 11, 839 What are the prime factors of 963558? 2, 3, 199, 269 List the prime factors of 10292486. 2, 5146243 What are the prime factors of 3186722? 2, 7, 11, 20693 What are the prime factors of 440425? 5, 79, 223 What are the prime factors of 2854761? 3, 7, 13, 10457 List the prime factors of 13414664. 2, 1676833 What are the prime factors of 213889? 13, 16453 List the prime factors of 157870. 2, 5, 15787 What are the prime factors of 17996977? 17996977 List the prime factors of 3916745. 5, 7, 47, 2381 List the prime factors of 289742. 2, 277, 523 List the prime factors of 3777703. 101, 113, 331 What are the prime factors of 1423487? 13, 8423 What are the prime factors of 716519? 23, 31153 What are the prime factors of 26426586? 2, 3, 23, 191497 What are the prime factors of 444057? 3, 17, 8707 What are the prime factors of 1271095? 5, 7, 23, 1579 What are the prime factors of 2669090? 2, 5, 266909 What are the prime factors of 15505608? 2, 3, 646067 What are the prime factors of 375772? 2, 37, 2539 What are the prime factors of 1321849? 19, 29, 2399 List the prime factors of 6448487. 23, 181, 1549 What are the prime factors of 78907? 19, 4153 What are the prime factors of 2109498? 2, 3, 269, 1307 List the prime factors of 750764. 2, 7, 26813 What are the prime factors of 6743208? 2, 3, 280967 List the prime factors of 10073924. 2, 7, 359783 What are the prime factors of 804204? 2, 3, 89, 251 What are the prime factors of 2139512? 2, 267439 List the prime factors of 17307273. 3, 569, 10139 List the prime factors of 3487144. 2, 435893 List the prime factors of 858838. 2, 19, 97, 233 List the prime factors of 3582009. 3, 132667 List the prime factors of 62918. 2, 163, 193 What are the prime factors of 747684? 2, 3, 7, 23, 43 What are the prime factors of 489003? 3, 19, 23, 373 What are the prime factors of 86162? 2, 67, 643 What are the prime factors of 369041? 41, 9001 List the prime factors of 10409179. 11, 23, 41143 List the prime factors of 4332109. 107, 40487 What are the prime factors of 15333326? 2, 61, 125683 What are the prime factors of 2087345? 5, 13, 17, 1889 List the prime factors of 784902. 2, 3, 130817 List the prime factors of 139558. 2, 69779 List the prime factors of 9418333. 43, 219031 What are the prime factors of 6137749? 6137749 What are the prime factors of 1492214? 2, 746107 What are the prime factors of 183832? 2, 11, 2089 What are the prime factors of 113940? 2, 3, 5, 211 What are the prime factors of 2225340? 2, 3, 5, 13, 317 List the prime factors of 2949988. 2, 737497 List the prime factors of 177955. 5, 35591 What are the prime factors of 2704776? 2, 3, 251, 449 What are the prime factors of 915440? 2, 5, 11443 What are the prime factors of 15338057? 7, 43, 50957 What are the prime factors of 994402? 2, 421, 1181 List the prime factors of 457274. 2, 228637 List the prime factors of 28118036. 2, 173, 179, 227 List the prime factors of 2068793. 1327, 1559 List the prime factors of 9249831. 3, 10277
{ "pile_set_name": "DM Mathematics" }
iple of 17? True Does 87 divide 533? False Is 62608 a multiple of 104? True Does 9 divide 475? False Is 58 a factor of 2262? True Does 50 divide 550? True Is 3422 a multiple of 118? True Is 5 a factor of 2955? True Is 8810 a multiple of 10? True Is 14997 a multiple of 9? False Is 16 a factor of 279? False Is 13 a factor of 9223? False Does 14 divide 378? True Is 2046 a multiple of 22? True Is 656 a multiple of 12? False Is 237 a multiple of 3? True Does 19 divide 268? False Is 32 a factor of 416? True Is 2631 a multiple of 9? False Is 10 a factor of 2670? True Is 12 a factor of 43764? True Is 228 a multiple of 11? False Is 1410 a multiple of 70? False Does 97 divide 303? False Is 49 even? False Does 10 divide 15170? True Is 10087 a multiple of 11? True Is 37 a factor of 333? True Does 14 divide 3570? True Is 67946 a multiple of 106? True Is 31 a factor of 2387? True Is 29 a factor of 261? True Is 11388 a multiple of 26? True Does 18 divide 6468? False Is 3 a factor of 495? True Is 203 a factor of 8932? True Does 78 divide 10117? False Is 1688 a multiple of 27? False Is 25 a factor of 275? True Is 3922 a multiple of 32? False Does 8 divide 27? False Is 25 a factor of 700? True Is 2425 a multiple of 135? False Is 18 a factor of 1584? True Is 20 a factor of 67880? True Is 21 a multiple of 6? False Is 17 a factor of 6375? True Does 81 divide 2447? False Does 67 divide 804? True Is 10216 a multiple of 60? False Is 17 a factor of 19556? False Is 9 a factor of 497? False Is 9 a factor of 55139? False Does 8 divide 1592? True Is 22 a factor of 11660? True Does 9 divide 2061? True Is 109 a factor of 50618? False Is 2817 a multiple of 67? False Is 19546 a multiple of 58? True Is 11 a factor of 22704? True Is 1139 a multiple of 10? False Is 7 a factor of 1043? True Is 131 a factor of 655? True Does 6 divide 523? False Is 1308 a multiple of 6? True Is 9 a factor of 4607? False Is 8206 a multiple of 42? False Is 34 a factor of 25623? False Does 25 divide 10050? True Is 45 a factor of 810? True Does 12 divide 1455? False Is 120 a multiple of 40? True Is 37015 a multiple of 11? True Is 7714 a multiple of 18? False Is 21 a factor of 426? False Is 18 a factor of 23? False Is 7 a factor of 119? True Is 5047 a multiple of 10? False Does 157 divide 13037? False Is 364 a multiple of 28? True Does 18 divide 891? False Does 257 divide 24433? False Does 44 divide 2288? True Is 29843 a multiple of 13? False Is 10 a factor of 750? True Is 57 a factor of 9250? False Is 3784 a multiple of 33? False Is 62 a multiple of 5? False Does 87 divide 87? True Is 8010 a multiple of 9? True Is 74762 a multiple of 10? False Does 20 divide 15018? False Is 14 a factor of 146089? False Is 900 a multiple of 15? True Does 201 divide 68170? False Does 4 divide 50888? True Is 960 a multiple of 8? True Is 1637 a multiple of 58? False Is 908 a multiple of 8? False Is 106906 a multiple of 39? False Is 5 a factor of 150? True Is 72 a factor of 46728? True Does 92 divide 5078? False Is 103 a factor of 843? False Is 816 a multiple of 20? False Does 25 divide 237? False Is 32 a factor of 2080? True Does 27 divide 14125? False Is 36 a factor of 5508? True Is 14977 a multiple of 33? False Does 87 divide 3828? True Is 36 a factor of 576? True Does 111 divide 8325? True Is 23 a factor of 826? False Does 10 divide 3109? False Is 364 a factor of 59927? False Is 2058 a multiple of 25? False Is 2174 a multiple of 60? False Is 8926 a multiple of 33? False Is 23 a factor of 3197? True Is 135898 a multiple of 509? False Does 7 divide 1029? True Is 2 a factor of 464? True Is 130 a multiple of 26? True Does 9 divide 89? False Is 61 a factor of 488? True Does 48 divide 39261? False Is 57 a factor of 53124? True Is 14 a factor of 624? False Is 42 a factor of 2355? False Is 17 a factor of 2409? False Does 7 divide 106? False Is 293 a multiple of 8? False Is 11 a factor of 2827? True Does 76 divide 23289? False Is 3698 a multiple of 43? True Does 7 divide 5957? True Does 8 divide 6872? True Does 14 divide 27976? False Is 133 a multiple of 4? False Is 15627 a multiple of 283? False Is 19183 a multiple of 86? False Is 25239 a multiple of 6? False Is 5 a factor of 8267? False Does 106 divide 5936? True Is 6334 a multiple of 38? False Is 2607 a multiple of 11? True Does 226 divide 11752? True Is 153 a factor of 32569? False Is 17 a factor of 36? False Is 9 a factor of 252? True Is 66 a factor of 6445? False Does 11 divide 5995? True Is 12593 even? False Does 91 divide 3162? False Does 3 divide 150? True Is 9 a factor of 8931? False Is 208 a multiple of 16? True Is 14 a factor of 35994? True Does 21 divide 2116? False Is 13 a factor of 5603? True Is 6237 even? False Is 7 a factor of 4921? True Is 167 a factor of 4509? True Is 139 a factor of 9757? False Is 3522 a multiple of 5? False Is 54 a factor of 756? True Is 3166 a multiple of 7? False Is 12 a factor of 72? True Is 13 a factor of 9044? False Does 26 divide 5018? True Is 20 a factor of 600? True Is 4478 a multiple of 6? False Is 686 a multiple of 7? True Does 2 divide 224? True Is 96 a factor of 22464? True Does 139 divide 2085? True Does 4 divide 390? False Is 90 a factor of 2166? False Does 10 divide 1843? False Is 2832 a multiple of 16? True Is 5 a factor of 2295? True Does 28 divide 1134? False Is 119 a factor of 5539? False Is 8 a factor of 4106? False Does 57 divide 22150? False Does 4 divide 500? True Is 47 a factor of 8789? True Is 14 a factor of 2068? False Does 3 divide 84? True Is 884 a multiple of 26? True Does 345 divide 26149? False Is 83 a factor of 9572? False Is 21 a factor of 3780? True Is 1660 a multiple of 83? True Does 5 divide 41550? True Is 6734 a multiple of 7? True Is 18 a factor of 2412? True Is 269 a multiple of 6? False Is 47 a factor of 871? False Is 1708 a multiple of 90? False Is 50 a factor of 1000? True Is 179 a multiple of 22? False Is 26975 a multiple of 8? False Is 132 a multiple of 6? True Does 119 divide 387? False Is 1710 a multiple of 48? False Is 2526 a multiple of 56? False Is 7868 a multiple of 13? False Is 5 a factor of 1040? True Is 244 a multiple of 61? True Does 6 divide 23129? False Is 33231 a multiple of 16? False Is 1764 a multiple of 12? True Does 8 divide 18922? False Is 63 a factor of 33597? False Is 1938 a multiple of 23? False Is 46 a factor of 140? False Is 1110 a multiple of 30? True Is 18 a factor of 13230? True Is 44064 a multiple of 108? True Is 15 a factor of 66165? True Does 42 divide 11104? False Is 17817 a multiple of 41? False Is 117 a factor of 55575? True Is 105 a multiple of 2? False Is 2 a factor of 326? True Is 1337 a multiple of 21? False Is 18 a factor of 5652? True Is 335 a multiple of 19? False Is 22 a factor of 66397? False Does 4 divide 16? True Is 99 a factor of 1386? True Is 183 a multiple of 13? False Is 28 a factor of 412? False Is 8 a factor of 2344? True Does 3 divide 223? False Is 4377 a multiple of 16? False Does 32 divide 3520? True Is 21 a factor of 15225? True Does 11 divide 3638? False Does 66 divide 7648? False Is 212 a factor of 34556? True Does 58 divide 4072? False Is 36 a factor of 13500? True Is 3272 a multiple of 36? False Is 11297 a multiple of 13? True Does 4 divide 4308? True Does 93 divide 3351? False Is 147 a factor of 38661? True Does 36 divide 20772? True Is 2366 a multiple of 91? True Is 114 a factor of 148? False Does 31 divide 341? True Does 71 divide 2556? True Is 31 a factor of 18507? True Does 6 divide 2739? False Is 180 a factor of 316? False Does 16 divide 13248? True Does 72 divide 1561? False Does 11 divide 14861? True Is 28 a factor of 116? False Is 20 a factor of 1148? False Is 6674 a multiple of 21? False Does 3 divide 1296? True Is 22155 a multiple of 211? True Is 46 a factor of 15364? True Is 10272 a multiple of 6? True Is 5319 even? False Does 48 divide 8400? True Is 3010 a multiple of 14? True Does 31 divide 837? True Does 15 divide 1095? True Is 14 a factor of 43778? True Is 2 a factor of 81? False Is 32 a factor of 4969? False Does 17 divide 272? True Is 2490 a multiple of 30? True Does 93 divide 28045? False Is 41375 a multiple of 125? True Is 124 a factor of 17608? True Is 5 a factor of 775? True Does 15 divide 120? True Is 250 a multipl
{ "pile_set_name": "DM Mathematics" }
+ 8*k**3/3 + 16*k**2/3 + 16*k/3 - 71. Suppose l(z) = 0. Calculate z. -2 Suppose -4*k = -10*g + 7*g + 205, 100 = g + 5*k. Find y, given that 159*y**2 - 594*y**2 + 1 - 27 + 312*y - 34 + g*y**3 = 0. 2/5, 5 Suppose 0 = 12*f - 3*n - 66, 23*n - 22*n = -2*f + 2. Factor -1/3*y**f + 4/3*y - y**2 - 4/3*y**3 + 4/3. -(y - 1)*(y + 1)*(y + 2)**2/3 Let k(n) = -20*n**3 - 80*n**2 + 116*n + 168. Let f(j) = 13*j**3 + 53*j**2 - 77*j - 112. Let o(i) = 8*f(i) + 5*k(i). Determine d, given that o(d) = 0. -7, -1, 2 Let g(s) be the second derivative of s**5/4 + 115*s**4/6 + 400*s**3 - 2880*s**2 - s - 40. Factor g(y). 5*(y - 2)*(y + 24)**2 Let w(x) = -2*x**5 - 18*x**4 - 12*x**3 + 4*x**2 + 18. Let f be (-9)/(-3)*(2/3 - 0). Let j(m) = m**4 + m**3 - 1. Let p(b) = f*w(b) + 36*j(b). Factor p(l). -4*l**2*(l - 2)*(l + 1)**2 Let i(u) be the second derivative of -5/12*u**4 + 8*u - 5/6*u**3 + 0 + 0*u**2. What is b in i(b) = 0? -1, 0 Let s(m) be the first derivative of 6/19*m**2 + 18/19*m + 2/57*m**3 - 33. Factor s(f). 2*(f + 3)**2/19 Let j(u) = -u**3 - 4*u**2 + 9*u + 1. Let k be j(-6). Let x be k/((-2)/8 + 13/4). Let 7/3*w**5 - 28/3*w**2 + 8/3*w - 2*w**3 + x*w**4 + 0 = 0. Calculate w. -2, 0, 2/7, 1 Suppose -58*w - 20 = -68*w. Let q(c) be the third derivative of 0 + 0*c + 1/735*c**7 - 1/70*c**6 - 5/42*c**4 + 2/35*c**5 - 4*c**w + 1/7*c**3. Solve q(f) = 0. 1, 3 Factor 13*c**3 - 3*c**3 - 2*c**4 - 4*c**4 + 11*c**3 - 3*c**5 - 12*c**4. -3*c**3*(c - 1)*(c + 7) Let t(j) = 7*j + 36. Let a be t(-5). Let d be ((-120)/224)/(a/(-12)). Find i, given that -27/7*i**3 - d*i**2 - 3/7 - 3*i = 0. -1, -1/3 Factor 20 + 16*f + 10*f**2 - 2 - 3 - 7 + 2*f**3. 2*(f + 1)*(f + 2)**2 Factor 16/5*z**2 + 0 + 32/5*z + 2/5*z**3. 2*z*(z + 4)**2/5 Let h(w) be the first derivative of -2*w - 13/2*w**2 - 11/3*w**3 - 31. What is r in h(r) = 0? -1, -2/11 Find i such that 14 + 34*i - 26 + 20*i**2 - 15*i**3 - 6*i**3 - 19*i**3 + 6*i**5 - 8*i**4 = 0. -2, -1, 1/3, 1, 3 Solve -2/7*q**4 - 32/7*q**3 + 0*q - 128/7*q**2 + 0 = 0 for q. -8, 0 Let c(y) be the third derivative of 5*y**8/112 + y**7/42 - 3*y**6/8 + y**5/4 + 5*y**4/12 + 205*y**2. Let c(t) = 0. What is t? -2, -1/3, 0, 1 Let d(j) be the first derivative of 0*j**3 + 1/2*j**2 - 2/3*j - 3 - 1/12*j**4. Factor d(v). -(v - 1)**2*(v + 2)/3 Let j = 39/4 - 191/20. Suppose 5*z - 15 = -4*v, 0*z + 6 = 5*v + 2*z. Find h, given that j*h**4 + 1/5*h**3 - 1/5*h**2 - 1/5*h + v = 0. -1, 0, 1 Suppose 2*b**2 - 2/9*b**3 + 2*b + 4/9 - 2/3*b**4 = 0. Calculate b. -1, -1/3, 2 Let q(u) be the second derivative of 4*u**6/15 - 19*u**5/10 - 61*u**4/6 - 14*u**3/3 - 222*u - 2. Suppose q(s) = 0. Calculate s. -2, -1/4, 0, 7 Let h be (-1150)/(-14) - (-5)/(-35). Let d = h - 244/3. Determine b so that d*b - 2/9*b**3 + 0*b**2 - 4/9 = 0. -2, 1 Let s be (2/(-6) + 369/(-27))/(-2). Suppose -2*a - s + 11 = 0. Factor 3/5*m**3 + 0*m + 0 + 3/5*m**a. 3*m**2*(m + 1)/5 Suppose 6*g - 5 = 25. Factor -q**3 + 196*q**g - 195*q**5 - q**4 + 0*q**3 + q**2. q**2*(q - 1)**2*(q + 1) Solve -6/11*f**4 - 6/11 + 12/11*f**2 + 2/11*f**5 - 4/11*f**3 + 2/11*f = 0. -1, 1, 3 Let k = -9620 - -28864/3. Solve -2/3*w**3 + 4/3*w**2 + 2/3*w - k = 0. -1, 1, 2 Let n = -15617 - -15620. Factor 1/4*a**n - 27/4*a**2 + 243/4*a - 729/4. (a - 9)**3/4 Factor -13/6*w**2 - 47/3*w - 7/2. -(w + 7)*(13*w + 3)/6 Factor -16*h**2 - 298*h + 4 + 143 - 18 - 978*h + 191. -4*(h + 80)*(4*h - 1) Suppose -2*o = 2*o + 12. Let t be -1 - (-1 - 0) - o/9. What is r in 1/6 + 1/6*r - 1/6*r**3 + t*r**4 - 1/2*r**2 = 0? -1, -1/2, 1 Find s such that 9 - 6*s**3 - 20*s**4 - 45*s + 5*s**5 + 210*s**2 - 79 - 34*s**3 - 200 + 0*s**5 = 0. -3, -1, 2, 3 Solve 49/4*l**4 - 15 - 787/4*l**2 + 35/2*l**3 + 107*l = 0 for l. -5, 2/7, 3 Suppose 267 = -102*d + 573. Factor 0 + 0*n + 2/3*n**d + 2/3*n**2. 2*n**2*(n + 1)/3 Let z(y) = 5*y - 5. Let a be z(1). What is q in -3*q**2 - 3*q**4 + a*q**4 - 7*q**3 + 0*q**4 + q**3 = 0? -1, 0 Solve -5*b**3 + 45*b + 3*b**3 - 43*b + 4*b**2 - 4 = 0 for b. -1, 1, 2 Let g = 35 + -27. Factor g*b - b - 2*b + 0*b - b**2. -b*(b - 5) Let s be (0 + -1)/3 - 161588/(-105). Let a = 1545 - s. Factor -20*d**3 + 152/5*d**2 + a - 112/5*d - 4/5*d**5 + 32/5*d**4. -4*(d - 2)**3*(d - 1)**2/5 Let r(w) be the first derivative of 1 + 8/15*w - 2/45*w**3 - 1/5*w**2. Factor r(t). -2*(t - 1)*(t + 4)/15 Suppose 0 = 2*c + c + 288. Let r be (1 + -2)*(c/52)/4. Suppose -16/13*g**2 - 8/13*g + 0 - r*g**3 = 0. What is g? -2, -2/3, 0 Suppose 4*w = 8, 3*w = 8*s - 13*s + 6. Let o(b) be the first derivative of -1/6*b**3 + s*b**2 + 6 + 0*b. Solve o(a) = 0. 0 Let p(q) = -27*q - 19. Let t be p(9). Let s = t - -3410/13. Factor -2/13*l**2 + s + 2/13*l. -2*(l - 2)*(l + 1)/13 Suppose v**4 + 9*v**3 + 16*v - 25*v**3 + 2672 - 2687 + 14*v**2 = 0. What is v? -1, 1, 15 Let y(s) be the first derivative of s**4/96 + s**3/16 - 18*s + 5. Let b(x) be the first derivative of y(x). Factor b(t). t*(t + 3)/8 Suppose -5*f + 3*f = -62. Suppose o = -29 + f. Factor 1/3*b**4 + 0 + 0*b**3 - b**o + 2/3*b. b*(b - 1)**2*(b + 2)/3 Let a(u) = 6*u**3 - 3*u**2 + u. Let h be a(1). Suppose -2*r + 3 = h*c - 3, 0 = -c. Factor 0*s**4 - 4/9 + 2/3*s + 4/9*s**2 - 8/9*s**r + 2/9*s**5. 2*(s - 1)**3*(s + 1)*(s + 2)/9 Let p = -923 + 928. Let g(s) be the second derivative of 1/5*s**6 - 1/2*s**4 + 0*s**2 + 1/2*s**3 + 0 + 0*s**p - 1/14*s**7 - 7*s. Let g(n) = 0. What is n? -1, 0, 1 Let x(b) = -b**3 - 29*b**2 - 5. Let w be x(-29). Let z be 4 + 10/(w - 0). Factor 0*y - 8/7*y**z - 20/7*y**4 - 4*y**3 + 0. -4*y**2*(y + 1)*(5*y + 2)/7 Let t = 646 + -437. What is s in 3*s**2 - 209 + t - 6*s = 0? 0, 2 Let s(g) be the second derivative of -27*g**7/14 + 93*g**6/10 - 71*g**5/4 + 67*g**4/4 - 8*g**3 + 2*g**2 + 70*g. Factor s(y). -(y - 1)**3*(9*y - 2)**2 Let d(i) be the second derivative of -3*i**5/100 + 7*i**4/20 - 3*i**3/2 + 27*i**2/10 - 2*i + 10. Factor d(q). -3*(q - 3)**2*(q - 1)/5 Let g = 3975/2 + -27805/14. Suppose 2/7*c**3 + 22/7*c + g + 2*c**2 = 0. What is c? -5, -1 Let n(i) be the second derivative of i**4/30 - 4*i**3/15 + i - 8. Factor n(w). 2*w*(w - 4)/5 Let p(o) be the first derivative of -5*o**3/3 + 45*o**2/2 - 70*o - 13. Factor p(y). -5*(y - 7)*(y - 2) Let v(t) be the third derivative of t**5/30 - t**4/6 + 25*t**2 + 2*t. Solve v(i) = 0. 0, 2 Let t = -9 - -15. Find w, given that 0*w + 24 + 3*w**3 - 3*w - 8*w - t*w**2 - w = 0. -2, 2 Suppose -1296*r = -1274*r - 44. Factor -10/23*u**3 + 0 - 14/23*u - 2/23*u**4 + 26/23*u**r. -2*u*(u - 1)**2*(u + 7)/23 Let l be (-7 - 1) + (1 - 0) + 1. Let z be (-56)/70*l/8. Factor 3/5*c**2 + 0 - z*c**3 + 0*c. -3*c**2*(c - 1)/5 Suppose -4*c + 218 - 218 = 0. Let f(h) be the first derivative of -2/45*h**5 - 1/18*h**4 + c*h - 3 + 1/9*h**2 + 2/27*h**3. Factor f(z). -2*z*(z - 1)*(z + 1)**2/9 Let r(j) be the first derivative of 2*j**6/3 + 4*j**5/5 - j**4 - 4*j**3/3 - 70. Factor r(q). 4*q**2*(q - 1)*(q + 1)**2 Let c = 503/12768 + 10/133. Let p(g) be the third derivative of 0*g - g**2 - 13/240*g**5 - 1/120*g**6 + 0 - c*g**4 - 1/12*g**3. Factor p(b). -(b + 1)*(b + 2)*(4*b + 1)/4 Let o(l) be the third derivative of -1/40*l**6 + 0 - 1/20*l**5 + 0*l + 1/8*l**4 - 11*l**2 + 1/70*l**7 + 0*l**3. Solve o(g) = 0. -1, 0, 1 Let d(o) be the third derivative of -2*o**7/525 - 9*o**6/100 - 59*o**5/150 - 3*o**4/4 - 11*o**3/15 + 7*o**2 + 23. Find b, given that d(b) = 0. -11, -1, -1/2 Let l(j) be the third derivative of j**8/60480 - j**7/2520 + j**6/240 + 13*j**5/60 - 4*j**2. Let w(b) be the third derivative of l(b). Factor w(m). (m - 3)**2/3 Let g be (12/(-102) - (-95)/85)*(-30)/(-4). Factor 75/4 + 3/4*a**2 + g*a. 3*(a + 5)**2/4 Suppose 2/3*s + 2/9*s**4 - 4/9 + 2/9*s**2 - 2/3*s**3 = 0. What is s? -1, 1, 2 Let u = -1601/15 + 547/5. Suppose -5*b + 4*k + 16 = -2*b, 0 = 4*b - k - 4. Let 4/3*m**3 - u*m**2 - 4/3*m + 8/3*m**4 + b = 0. Calculate m. -1, -1/2, 0, 1 Suppose -16*n**4 - 4802*n**3 + 4810*n**3 + 2*n**5 - 12*n + 16*n**2 + 2*n**5 = 0. What is n? -1, 0, 1, 3 Let l(r) = -9*r**4 + 41*r**2 + 24*r + 22. Let s(f) = -f**3 - f**2 - 3. Let g(h) = l(h) + 6*s(h). Factor g(t). -(t - 2)*(t + 2)*(3*t + 1)**2 Let v(t) be the first derivative of -t**5/16 + 5*t**4/12 + 5*t**3/8 - 45*t**2/4 + 2*t - 3. Let d(z) be the first derivative of v(z). Factor d(q). -5*(q - 3)**2*(q + 2)/4 Suppose 0 = -5*p + 4 + 11. Suppose -p*j + 17 = -t, t = -5*j + 3*t + 28. What is d in 13*d**3
{ "pile_set_name": "DM Mathematics" }
2/13? -2/7 Which is the smallest value? (a) 0.5 (b) 2/43 (c) -2/11 (d) -5 d Which is the third smallest value? (a) -0.1 (b) -2.14 (c) -4 a What is the fourth biggest value in 0, 3, 705, -1/2? -1/2 What is the biggest value in -0.1, 81, 0.2? 81 Which is the third biggest value? (a) 421 (b) 4 (c) -0.4 (d) 0.5 d What is the biggest value in 8, -1, -1/21, -4, 0.5? 8 What is the biggest value in -2/11, -0.2, 31, -3? 31 What is the second biggest value in 4, -7.4, 0.21? 0.21 What is the second smallest value in -4/5, 0.01, -1, -2/3, -1/4? -4/5 Which is the biggest value? (a) 42 (b) -3/4 (c) -40 a Which is the biggest value? (a) -2 (b) 2.2 (c) -2/125 b Which is the biggest value? (a) -3 (b) 137 (c) 1 b Which is the second smallest value? (a) -3/10 (b) -9/4 (c) 2/9 a What is the third biggest value in 2, 1/7, -1, -2/13? -2/13 Which is the smallest value? (a) -4/3 (b) -0.1 (c) -1/183 (d) 0.1 a Which is the smallest value? (a) -18 (b) -0.2 (c) 2/3 (d) 20 a What is the third biggest value in 0.1, -4126/3, 5? -4126/3 Which is the second biggest value? (a) -0.6 (b) 0.4 (c) -72 a What is the fourth smallest value in -0.3, 2/5, 0.44, 5, -0.8? 0.44 Which is the fourth biggest value? (a) 0.5 (b) 2/91 (c) 0.3 (d) -8 d What is the fourth biggest value in 2, -0.4, 4/11, -2/9? -0.4 What is the second smallest value in -6, 1, 483? 1 Which is the third biggest value? (a) -4 (b) -2/13 (c) -245 c What is the fourth smallest value in 0.3, -23, 4, 1/7, 5? 4 What is the fifth biggest value in -1, 0.2, 1, -5/3, -69/4? -69/4 What is the second smallest value in 3/7, -3/7, -2/9? -2/9 Which is the third smallest value? (a) 1 (b) -4 (c) -10 (d) 1/5 d What is the second biggest value in 0.2, 0, 189? 0.2 What is the smallest value in -4, 10, -8? -8 What is the third biggest value in 204, 5, 3? 3 What is the third biggest value in 1/4, 2.6, 1/3, -2/5? 1/4 What is the smallest value in -1/2, -5, -0.4, 18? -5 What is the smallest value in -1, -2/7, 0, -321? -321 What is the third smallest value in 1, -2, -0.3, -0.335? -0.3 Which is the third biggest value? (a) 1/3 (b) 25 (c) 8 a Which is the second biggest value? (a) 11.8 (b) 2 (c) -5 b What is the third biggest value in -3/5, -1/4, -6/7, -3, 2? -3/5 What is the third smallest value in 0.3, -44, -22, 2, 5? 0.3 What is the third smallest value in 2/7, -1, -2/131, -2/9? -2/131 Which is the second smallest value? (a) -3/8 (b) 52 (c) 12 c Which is the biggest value? (a) -21/2 (b) -3 (c) -6/5 (d) 0.3 d What is the fourth biggest value in -235.2, 4, 1, -2? -235.2 Which is the third smallest value? (a) 0.5 (b) 2 (c) -5 (d) -1/3 (e) 118/7 a What is the third biggest value in 5, -4.7, 1/2, -3/7, 4? 1/2 What is the third smallest value in 143, 6, -1/5, 1? 6 Which is the third biggest value? (a) 283 (b) 1/3 (c) -1/3 (d) 0 d What is the fourth smallest value in 3/7, -0.6, 13, -0.4? 13 Which is the second smallest value? (a) -0.2 (b) 9/2 (c) 2/5 (d) 0.3 d Which is the second biggest value? (a) 0 (b) 0.4 (c) -0.33 (d) -5 a Which is the fifth biggest value? (a) 2/5 (b) -1.6 (c) 1/2 (d) 4 (e) 6 b Which is the biggest value? (a) 0.4 (b) -1 (c) -1.05 (d) 2/17 a Which is the third smallest value? (a) 59 (b) 5 (c) -4 (d) -0.04 (e) 3/5 e Which is the smallest value? (a) -5 (b) 1/2 (c) 0.012 a What is the fourth smallest value in -0.5, 4, 4/3, -5/26, 0? 4/3 Which is the second smallest value? (a) 0.1 (b) -0.1 (c) 0.5 (d) 15 a Which is the smallest value? (a) 0.2 (b) 5/481 (c) 4 (d) 1 b Which is the smallest value? (a) 4 (b) -2/5 (c) 393 b What is the smallest value in 0.01, -5/9, 1? -5/9 What is the second biggest value in 0.5, -2/11, 3/4, -127, 3? 3/4 What is the fourth smallest value in -2, -1/4, -189.8, 3/8? 3/8 Which is the biggest value? (a) -2/17 (b) -1 (c) -2 (d) 2 d What is the fifth biggest value in 0.05, -1, 0, 55, -2/5? -1 Which is the second biggest value? (a) -4 (b) -5 (c) -17 (d) 3/7 (e) -1/5 e Which is the third biggest value? (a) -2/11 (b) -1 (c) 47 b What is the smallest value in 0.4, 1/2, -1, -22? -22 Which is the biggest value? (a) 4 (b) -0.1 (c) 2/7 (d) -4 a Which is the second biggest value? (a) -2/5 (b) 6 (c) 5 c What is the biggest value in 3, -2.4, 0.2, -7? 3 What is the third biggest value in 2/15, 3/4, 2/3, 125? 2/3 What is the third smallest value in -2/13, -223, 5/6, 4? 5/6 Which is the biggest value? (a) 1 (b) -3 (c) 0 (d) 0.1 a What is the biggest value in 8, 21, 5? 21 Which is the third biggest value? (a) -185 (b) 5 (c) -0.2 a Which is the third biggest value? (a) 6 (b) 4 (c) -1 (d) -1/7 d What is the third smallest value in 2/13, 0.2, 21/4, 0? 0.2 What is the smallest value in -4, -5, -1.2, 2? -5 Which is the second biggest value? (a) -1 (b) 2 (c) 2207 b Which is the biggest value? (a) 3 (b) 2 (c) -6.8 a Which is the biggest value? (a) -5 (b) 2/69 (c) 0.04 c Which is the third smallest value? (a) 2 (b) 3/2 (c) -73 a Which is the smallest value? (a) 1.5 (b) -1/7 (c) 0 (d) -1 d What is the fourth biggest value in -137, 0, 2, 3? -137 What is the third biggest value in -0.5, -3, -19? -19 Which is the second smallest value? (a) -27/5 (b) -0.1 (c) 1 (d) 0.4 b What is the third smallest value in -7/6, -5, 4, -1/2, 39? -1/2 Which is the third smallest value? (a) 9/7 (b) -12 (c) 2/21 (d) 3/5 (e) 0.2 e What is the fourth smallest value in -1/10, -1, 11, -0.3? 11 Which is the smallest value? (a) -0.08 (b) 4 (c) -22 c What is the third biggest value in 0.3, 3, -10, 2/17, 11? 0.3 What is the second smallest value in -3/4, -2/3, -0.3, -2, -232? -2 What is the second biggest value in 3.4, -4, -2, -5? -2 What is the second smallest value in -0.4, 1, 2413? 1 Which is the second smallest value? (a) -11.6 (b) 0.13 (c) -2 c Which is the third biggest value? (a) 38 (b) -7 (c) 2/5 (d) -4 d Which is the smallest value? (a) 0.02 (b) 1/4 (c) -11 c Which is the third smallest value? (a) 6 (b) -0.3 (c) 12 (d) 2 a Which is the smallest value? (a) 24 (b) 1.1 (c) -5 (d) -0.1 c What is the second smallest value in 4, 32, -0.1, 2/5? 2/5 What is the third biggest value in 20, 3/4, -5, 0? 0 Which is the second smallest value? (a) 1/181 (b) -0.5 (c) -4 (d) 0.2 b Which is the third smallest value? (a) -59/5 (b) -4 (c) 0.1 c What is the third biggest value in 9/7, -0.4, 4/5, 2/7, -10.1? 2/7 Which is the fourth biggest value? (a) -0.8 (b) 0.2 (c) -2 (d) -34 d Which is the second biggest value? (a) 0 (b) 1/2 (c) 0.7 b What is the smallest value in -0.3, -2/7, 0.58? -0.3 Which is the third biggest value? (a) 5 (b) -54 (c) -16 b Which is the second biggest value? (a) 0.5 (b) 0.4 (c) -8.885 b What is the biggest value in 0.5, -2, -1, -604, 2? 2 What is the third smallest value in 4/11, -2, 3.1? 3.1 What is the third biggest value in -0.4, 5, 1.3, 2, -2? 1.3 Which is the fourth biggest value? (a) 2 (b) -1/4 (c) -0.5 (d) -243 (e) -0.8 e What is the third smallest value in -0.1, -7, 9? 9 What is the second biggest value in 1, -3, -70? -3 Which is the smallest value? (a) -0.1 (b) 2 (c) -2/21 a What is the second smallest value in 1, -0.1, -3, -0.9? -0.9 What is the third smallest value in -1/2, 18, -0.07? 18 Which is the biggest value? (a) 0.03 (b) 0.12 (c) 6 c Which is the biggest value? (a) 5 (b) 2 (c) 4 (d) -6 a Which is the biggest value? (a) 2 (b) -3 (c) 2/9 (d) -335 (e) 3/8 a Which is the fourth smallest value? (a) -2 (b) -6 (c) 1 (d) 120 d What is the second smallest value in 5, 0.2, 35, 1/6? 0.2 What is the fourth smallest value in -3, -1/4, -1/10, 1/11? 1/11 Which is the smallest value? (a) 2 (b) -0.5 (c) -3540 c What is the third smallest value in 5, 13/3, -2/3? 5 Which is the second smallest value? (a) -0.2 (b) 0.12 (c) 1 b What is the second smallest value in 1, -1, -0.3, 4? -0.3 Which is the second biggest value? (a) -33/17 (b) -0.1 (c) -1/6 c Which is the fourth biggest value? (a) 0.3 (b) -4 (c) -125 (d) -0.3 c What is the smallest value in 15, -1, -3, 1/3? -3 What is the third biggest value in -0.1, 5, 1/2, -4? -0.1 Which is the second smallest value? (a) 3 (b) 1.6 (c) 3/4 (d) 0.2 (e) 1.8 c What is the biggest
{ "pile_set_name": "DM Mathematics" }
t t = 2522906734/895 - h. Let q = -1/179 + t. Which is smaller: -15 or q? -15 Let m(r) = 2*r - 374. Let q(j) = -j + 125. Let h(b) = -6*m(b) - 17*q(b). Let i be h(-19). Is 24 equal to i? True Let r(i) = i**2 + 45*i - 121. Let x be r(-14). Is -1669/3 bigger than x? False Let h(x) = -x**3 + 12*x**2 + 302*x - 5. Let l be h(-12). Suppose 3*f = 6*f + 519. Is l not equal to f? False Suppose -5*i + 5 = -2*v - 7, v - 1 = -i. Let p be 36 - ((i + -2)/3 + 2). Do 38 and p have the same value? False Let t = -12 - -9. Let z be 1/t*(7 + -1*1). Let j be 4 + -4 - 14/8. Is j at least z? True Let h = 1.95 + -250.95. Let s = h - -264. Which is smaller: 2 or s? 2 Suppose v - 210 = 3*v. Let r be (-3)/((-5)/v - 0). Which is bigger: -64 or r? r Suppose -1866 = 46*f - 40*f. Let g = -317 - f. Let y = -2493/4 - -617. Is y less than or equal to g? True Let j be (-1)/(-109083)*-872662 - 112/(-10 - 4). Is 1 < j? False Let h = 15877/5785 + 11/445. Let n = 8 + -4. Is h bigger than n? False Let q = 3377 + -16943/5. Let b = 105003 + -105015. Is q less than b? False Let c be (-10017)/24380 + (-6)/(-15). Does c = 0? False Let z = 460 - 312. Let b be ((z/(-3))/4)/((-16)/(-48)). Is b bigger than 3/8? False Let y(d) = -d**2 + 5*d + 11. Suppose -2*a - 2 = -14. Let f be y(a). Let n be 1 - 0 - ((-30)/(-22))/f. Is n < 2? True Suppose -23*a = -0*a + 92. Let d be 3*a/(-24) - (-68)/(-28). Which is bigger: -2 or d? d Let x = 4258 - 4258. Let n(a) = a**2 + 2. Let f be n(-2). Let b be (0 + f/3)/(-6). Is x not equal to b? True Let l = -2.43 - -1.13. Let j = -28.071 - -0.071. Let n = j - -27. Is n smaller than l? False Suppose -234 = -3*c - 3*p, c - 13 = 3*p + 73. Suppose 0 = -19*h + 3*h - 32. Let x(v) = -55*v - 29. Let a be x(h). Does c = a? False Let q be -22*8/(-44) + (0 - 6). Is q less than or equal to -19? False Suppose 2*a - 320 = -6*a. Let y = a - 46. Let p = -2717/408 - 1/136. Which is smaller: y or p? p Let y = -18/4237 + -9291651/21185. Are -440 and y unequal? True Let c = -12989/636 + -49/636. Suppose -t = 2*m - 1, 2*m + 2 = -0*t - 4*t. Is c greater than or equal to t? False Let t be (27/(-6))/((-4)/(-40)). Let i be 10/t + 2/9. Let n be ((-2)/(-4) - 0)*i. Is 3/71 bigger than n? True Let x = -39 - -39. Suppose 0 = 3*q - 2*v + 29, 4*v + 1 = -q - 4. Let o be (-18)/q*(-1)/(-2). Which is bigger: x or o? o Let h = 357 + -244. Let b(k) = 7*k + 8. Let w be b(15). Is w smaller than h? False Let f(i) = i. Let y(u) = -u + 16. Let b(s) = -4*f(s) - y(s). Let v be b(-8). Suppose 3*w - v*w = -150. Which is greater: w or 31? 31 Let b be 9/36*260*-1*(-2)/2. Which is greater: 67 or b? 67 Let t = 23 + -19. Let o be (-1)/(1254/(-3458) - t/(-14)). Is 16 less than o? False Let y = -15248 - -14259. Do -990 and y have the same value? False Let y = 3 + -3. Let i be (-2)/((-1)/((-1593)/4719) - 3). Let x = i + -107/2. Is y < x? False Let o(f) = 9*f - 46. Let b be o(6). Let j be (-1)/(4/b) - 2/(-1). Suppose j = -2*l + l - 18. Which is bigger: l or -1? -1 Let g = -141 + -633. Let w = 754 - 754. Is g equal to w? False Suppose b = -11*b + 37*b + 25. Which is greater: b or -2/15909? -2/15909 Suppose 9*w - 4*w = b + 6, 3*w + 6 = 3*b. Suppose 0 = -5*o - 2*s - 0*s - 60, -55 = 4*o + 3*s. Let c be (o/b + 1)*120/(-270). Is c smaller than 2? True Let f = 21777 - 21782. Which is smaller: f or -345/59? -345/59 Let f(k) = -k**2 - 84*k - 1035. Let y be f(-15). Is 27/19 less than or equal to y? False Let w be (2/8)/((-6)/8). Let k = 49517/600 + -6184/75. Which is greater: w or k? k Let h(g) = -18*g + 2*g - 68 + 376 - 3*g + 131. Let o be h(9). Which is greater: 270 or o? 270 Let v(a) = -2*a**3 + 3*a**2 + 79*a - 1091. Let d be v(12). Is d less than or equal to -0.2? True Suppose 36 = -2*j + 4*j + 2*s, 3*s - 73 = -4*j. Suppose 1 + j = 5*w, -3*w = 3*h - 18. Suppose h*f = -f + 33. Which is smaller: f or 0? 0 Suppose -7*y - 56 = -14. Let r be (2 + -3)*6 + y + 6. Is -72/13 at most as big as r? False Let k = 3994 + -4302. Which is smaller: 5 or k? k Suppose 4*j + 411 = 5*z, 3*j - 2*z - 358 = -668. Is -100 less than j? False Suppose -5*v + 25 = 0, 4*g + 3*v + 48 = -v. Let s(y) = -3*y + 4. Let n(z) = z. Let m(k) = 4*n(k) - s(k). Let j be m(-2). Do j and g have different values? True Let r = -1/1243786 + 6639329723/68408230. Let h = -478/5 + r. Which is smaller: 2 or h? h Suppose 0 = -35*h + 37*h + f - 304, 5*f = 5*h - 715. Is h >= -10? True Let m = 23/3 - 155/21. Let t = -0.045 - 20.955. Let j = t + 17. Do m and j have the same value? False Suppose 4*d = d. Let b be (93/420 - 32/128)*27/(-3). Is b >= d? True Let o be 1*8/(-1077)*21356916/(-24). Let b = o - 6610. Let v = b + -14366/3231. Is v < -5? False Suppose 4*y - 40 + 215 = -5*m, -m - 2*y = 35. Which is smaller: m or -59? -59 Let l(w) = -36*w - 97. Let b be l(-44). Let h = 114501/77 - b. Is h less than 2/7? True Suppose h = 8*h. Suppose 4*f - 5*f = 4*d - 59, -d = 2*f - 13. Suppose 4 = d*r - 14*r. Are r and h nonequal? True Let y = 1056404/17 - 62422. Which is smaller: -282 or y? -282 Let r = 14478.26 + -14478. Let c be (-4)/(-6) + (-22)/24. Are c and r equal? False Suppose 0 = 2*j - 3 - 5. Let n(u) = -20*u. Let w be n(5). Let o = 106 + w. Does j = o? False Let d(s) = s**2 - 4*s - 2. Let c be d(-11). Let n = c + -165. Which is greater: 2/3 or n? 2/3 Let n be (155 + -4)*(3 + -2). Let q = -291 + n. Which is smaller: q or -139? q Suppose -4*t + 10 = 3*v, 0 = 4*t - v - 2 - 0. Let x = -1397 + 3190. Let k = 17951/10 - x. Are t and k non-equal? True Let y = 23837 + -834129/35. Let t = y - -109/70. Does t = 7? False Let u = 219 + -219. Suppose u = -9*z + 6*z + 51. Which is bigger: z or 22? 22 Let g be 1944/(-1134) - (-2782)/14. Which is bigger: g or 194? g Suppose 2*c = -5*m - 78 + 3, m + 71 = -2*c. Let f be (153 + (-72)/9)*(-2)/c. Which is smaller: 7 or f? 7 Suppose -4*x - 2*b + 199 = -5*b, 4*b = -4*x + 192. Let u be (1/2)/(x/(-1568)). Is -17 smaller than u? True Let z be (-295)/20 - (-2)/8. Let l(d) = -d**3 + 8*d**2 - 11*d - 3. Let k be l(6). Suppose -4*a - 16 = -k*a. Is a at most as big as z? True Suppose 3*u - 4*b = 85, 14*b - 73 = -3*u + 15*b. Suppose -1000 = -5*o + 2*g, -26*o + 631 = -u*o + 5*g. Is o at least 202? True Let i = 112.403 - 110.87. Is -1/3 less than or equal to i? True Let x = -83 + 93. Let b(c) = 15 + 1 - 4 + c**2 - 3 - x*c. Let w be b(9). Is -0.02 < w? True Suppose 7 = 5*c + 40*g - 36*g, -2*g + 6 = 0. Let a = 43673/87 - 502. Which is greater: c or a? a Suppose 17*s - 19*s - 5*b = -25, 0 = 3*s + 3*b - 15. Suppose -38*u + 33*u = s. Is u != -7/116? True Let s be 596*(33/(-30) - 10/25). Let t = 603 + s. Is -290 != t? True Let r(b) = -5*b**2 - 58*b - 43. Let m be r(-12). Let s(n) = -2*n**2 - 6*n + 14. Let a be s(-8). Which is smaller: a or m? m Suppose 0 = -6*r - 259 + 37. Let l = 33 + r. Let d be -2 - 1 - 6 - l. Which is bigger: -21/5 or d? -21/5 Suppose 4*u - 3*h = 172, u + 3*u = 2*h + 168. Let q = u + -381. Is -341 bigger than q? False Let m = 199057 - 5972761/30. Let y = -329/6 - m. Is y at least as big as -21? True Let m be (2696/(-384) + 7)*-226. Is m at least 5? False Suppose -i = -4*i. Suppose 4*c - 39 + 55 = i. Let a be (-5 - c)/1*(3 + -2). Which is bigger: a or 2? 2 Let o(s) = -8*s + 173. Let a be o(19). Let l(u) = u + 20. Let t be l(0). Let z be 1/1*(t - a). Is z != 2/27? True Let q = -44 + 47. Suppose 4*j - 3*j = 5*t - 5, 0 = q*j - 3*t + 51. Is j >= -77/4? False Suppose -81840 = -16*s + 22*s. Let o be (-4)/(-18) - s/99 - -4. Is 144 greater than o? True Let m = -1799 + 1800. Let v = -5 + -5. Let c be ((2 - 0) + -4)/v. Are m and c non-equal? True Let v be (-1)/(-2)*69/(-30) - 204/(-510). Let k(c) = -c**2 + 10*c - 18. Let b be k(4). Which is greater: b or v? b Suppose -5*o = -0*o - 30. Let i be -2 + (-40)/12*(-3)/2. Suppose -3*p = -2*k + 25, 9*k = 13*k - i*p - 41. Is o equal to k? False Suppose -3*m - 2*v = 451, -24*v + 22*v = -m - 145. Let l = 149 + m. Is -9/44 >= l? False Let k = 13294 + -13293.3. Which is smaller: 1597 or k? k Let x = 175.62 - 161.72. Which is smaller: x or -44? -44 Suppose 0 = -1286*c + 1285*c + k + 4143, -3*k + 8306 = 2*c. Which is smaller: -0.2 or c? -0.2 Suppose -18*n + 12*n = 6. Let k be (928/(-8))/(n - -3). Is -58 greater than k? False Let q be 1/12 + 527824/(-6308544). Is q at most 0? True Let a be (152/(-24) - 7) + 10. Is 1.3 > a? Tru
{ "pile_set_name": "DM Mathematics" }
-2). Round q to the nearest 10. -80 Let z = 10745 + -10744.5001. What is z rounded to one decimal place? 0.5 Suppose -6*n + 9 = -27. Let o be 6125*(n/(-4))/((-10)/20). Suppose 36795 = 2*y - s, -2*y - 5*s = -3*y + o. Round y to the nearest 1000. 18000 Let b = 0.47152 - 0.4036. Round b to two decimal places. 0.07 Suppose -14*n - 4*g - 170046 = -16*n, -3*n - 2*g + 255045 = 0. Suppose -34550 = 29*j + n. Round j to the nearest 1000. -4000 Let p(z) = -2873*z - 45. Let n be p(-9). Suppose y + 1385188 = -n. Round y to the nearest one hundred thousand. -1400000 Let r = 140.518 + -141. Let d = r - -0.5033. What is d rounded to three decimal places? 0.021 Let f = 0.02072 + 54.67928. Round f to the nearest integer. 55 Let s(j) = 8*j**3 + 3*j - 2. Let z be s(1). Let x be z - (-1)/(-2)*8. Suppose -x*r + 83 = 358. What is r rounded to zero decimal places? -55 Let g = -660.205 - -653. Let n = g + -0.195. What is n rounded to the nearest integer? -7 Let c = -39 - -13. Let r = c - -32. Suppose 12*n - 912000 = r*n. What is n rounded to the nearest 10000? 150000 Let d = -168090 - -168089.99931949. What is d rounded to 5 decimal places? -0.00068 Suppose -536605 = -g + r, 0 = 33*g - 28*g - 2*r - 2683010. What is g rounded to the nearest one hundred thousand? 500000 Let o(j) = 191*j**3 - 7*j**2 - 2*j + 8. Let y = 0 - 13. Let r be 58/10 - y/65. Let q be o(r). What is q rounded to the nearest 10000? 40000 Let i = -1741.592 + 1767.9. Round i to 0 dps. 26 Let d = -101 - -161. Suppose d = -2*f + 4*f. Let x be 13300/(-57)*26*f. What is x rounded to the nearest ten thousand? -180000 Let o = 3.658 + -3.7. Let c = o + -3.458. Let i = 3.50000046 + c. Round i to 7 decimal places. 0.0000005 Let f = -21.90656138 - -21.907. What is f rounded to four decimal places? 0.0004 Let s = 525.5991 + 0.8509. Round s to the nearest 100. 500 Let o = -953420069 - -953421410.563603. Let p = -1452.5635456 + o. Let v = 111 + p. Round v to 5 decimal places. 0.00006 Let m = 0.189 - 39.689. Let a = m + 5. Round a to zero dps. -35 Let k = 193242371.0103481013 + -193242371. Let o = k + 231.9899588987. Let l = o - 232. What is l rounded to 5 decimal places? 0.00031 Let u(f) = f**2 - 13. Let q be u(-3). Let n be ((-19976)/6 + q)*(-1 - 1865). Suppose 120*s = 119*s - n. What is s rounded to the nearest 100000? -6200000 Let i = -6540 + 6539.999978937. Round i to 6 decimal places. -0.000021 Let n = -0.027 - 30.473. Let b = -30.49997 - n. Round b to six dps. 0.00003 Let y = 3037.3252 + -2623.699. Let t = 0.1262 - y. What is t rounded to the nearest 10? -410 Let n = -216.5 + 425. Let m = -200 + n. What is m rounded to the nearest ten? 10 Let i(a) = -13*a + 25. Let t be i(4). Let h be 186299997/t - (-11)/(-99). What is h rounded to the nearest one million? -7000000 Let n = 262.1 - -56.9. Let p = -20138.531 + 19819.8. Let c = p + n. What is c rounded to two decimal places? 0.27 Suppose 0 = -4*a - 1473063 - 129169. Let i = 978558 + a. Round i to the nearest 100000. 600000 Let o = -633 + 648.02. Let s = o + -15.019997476. Round s to 7 dps. 0.0000025 Let f = -578 - -868. Let n = 791500948.99999738 - 791501239. Let a = n + f. Round a to seven dps. -0.0000026 Let w(s) be the second derivative of 0 - 16*s + 9*s**2 + 789997/6*s**3. Let v be w(6). Round v to the nearest 100000. 4700000 Suppose 45*b - 301500 = 54*b. What is b rounded to the nearest 10000? -30000 Suppose 0 = -3*x + 2*y + 2 + 17, -4*y = x + 3. Suppose 95900004 = -5*s - q, -5*q = x*s + 50087781 + 45812239. Round s to the nearest one million. -19000000 Let j = -0.08571232 + 0.08572. Round j to six decimal places. 0.000008 Let m = 30462 - 30462.0000032938. Round m to 7 dps. -0.0000033 Let f = 0.238 + 123.322. Let h = f - 122. What is h rounded to one dp? 1.6 Let s = 22.1 - 0.1. Let o = -22.25 + s. Let f = -0.17 - o. What is f rounded to 2 decimal places? 0.08 Let d = 4445.7 - 5326. Round d to the nearest one hundred. -900 Let g = 0.44 - 37.44. Let i = 33 + g. Let m = 4.000014 + i. Round m to 5 dps. 0.00001 Suppose -142*y + 5*q - 106415 = -143*y, -y + 4*q + 106388 = 0. What is y rounded to the nearest 10000? 110000 Let j = 510.18 - 506. Let u = -4.180865 + j. What is u rounded to four decimal places? -0.0009 Let u = 0.11960457 + -0.11961. What is u rounded to 7 dps? -0.0000054 Let b = -1.333 - -2.103. Let s = -0.54703329 + -0.22297047. Let d = s + b. Round d to 7 dps. -0.0000038 Let o(z) = 21 + 14 + 8*z - 47*z**2 - 20. Let j be o(-5). Round j to the nearest one hundred. -1200 Let i = -1015 + 2560. Let c = i - 1262.7. Round c to the nearest 10. 280 Let v = -508 + 99. Let g = -409.00000187 - v. What is g rounded to 7 dps? -0.0000019 Let l(b) = -5093*b**2 + 1152 - 472*b**2 + 28*b - 1128. Let i be l(12). Round i to the nearest 100000. -800000 Let d = 1263 - 1352. Suppose 3*c = -c + 928. Let t = c + d. What is t rounded to the nearest ten? 140 Let f = 44594 + -45181.82. Let u = f - -600. What is u rounded to 0 decimal places? 12 Let u = -13229 - -13228.92632. Round u to three dps. -0.074 Suppose 0 = -3*y - 2*s - 542415, 2*y + 0*y - 2*s = -361600. Let l = 181197 - y. Round l to the nearest one hundred thousand. 400000 Let t = -897 + 900.43. Let i = -3.3142 + t. What is i rounded to two decimal places? 0.12 Let c = 0.707 + 17.677. What is c rounded to the nearest ten? 20 Suppose -54*r + 1012326 = 3518034. What is r rounded to the nearest ten thousand? -50000 Let l = -4404 + 1295. Let x = 3108.4444 + l. Let o = 0.56 + x. What is o rounded to three decimal places? 0.004 Let t be -2259 + 2*(-12)/8. Let r = t - -8329. Suppose 4*l + r = 2*v - 3503, -2*l = v + 4775. What is l rounded to the nearest 100? -2400 Let t = -2072.671646 + 2072.7. What is t rounded to two dps? 0.03 Let y be (2/(-4))/((-5)/70). Suppose -y*t = -0*t. Suppose 2*r + 5*b = 117, 2*b - 240 = -5*r - t*b. Round r to the nearest 10. 50 Let y = -2942331 - -2945581.423. Let c = -3252 + y. Round c to 1 dp. -1.6 Let f = -64 + 63.22. Let j = f - -97.78. Let k = j - 97.42. Round k to one decimal place. -0.4 Let j = -100 - -101.88. Let a = 81.88 - j. Let v = -80.00138 + a. What is v rounded to 4 dps? -0.0014 Let s = 1.3822 - -800.7178. Let y = 1532 - s. Let f = 785 - y. What is f rounded to the nearest 10? 60 Let x = 483903193.3798227 - 483903169. Let f = -24.38 + x. What is f rounded to 5 dps? -0.00018 Let k = -14.6 + 0.6. Let c = -15.69 - k. Let m = c - -1.68474. Round m to 4 dps. -0.0053 Suppose 28*p - 19*p - 45 = 0. Suppose -2*j = y - 69898, p*j - 209696 = -3*y + j. Round y to the nearest 10000. 70000 Let m = 22040503 - 22109986.418. Let z = 69412 + m. Let x = z - -70.8. What is x rounded to one dp? -0.6 Let w(m) = m**2 - m + 1. Let g(h) = -42349*h**2 + 4*h + 14. Let b(q) = -g(q) - 3*w(q). Let d be b(9). Round d to the nearest 1000000. 3000000 Let h = -26 + 18. Let n = h - 31. Let j = 38.9999712 + n. Round j to six decimal places. -0.000029 Let v = 356 + -349. Let d be (-2380)/v*-96*-3750. Round d to the nearest 1000000. -122000000 Let d(j) = -2644*j**2 - 13*j + 26. Let t be d(-6). What is t rounded to the nearest 10000? -100000 Suppose -7*y = -3*y - 28. Suppose 19 = -4*i + y. Let v(d) = -4033338*d - 14. Let t be v(i). Round t to the nearest one million. 12000000 Let m = -188 + 191.3. Let x = m - 3.2999429. What is x rounded to six decimal places? 0.000057 Let f = 677.283 + -677. Let z = -0.283023 + f. Round z to six dps. -0.000023 Let w = -18928 - -18927.99916648. Round w to four dps. -0.0008 Let x = 2900.4753 + -0.4753. Let q = x + -2900.0007295. Round q to 4 dps. -0.0007 Let q = -1.033 - -0.073. Let h = -0.44 - q. What is h rounded to one dp? 0.5 Let g = 167.2 + -199. Let q = g - -31. Let n = 4.6 + q. Round n to the nearest integer. 4 Let x be (-48 + (-8)/4)/((-32)/(-167744)). Round x to the nearest one hundred thousand. -300000 Suppose g + 5*m + 193935 = 0, -169*m + 969597 = -5*g - 168*m. What is g rounded to the nearest 10000? -190000 Let t = 58749 + -116829. Round t to the nearest 1000. -58000 Suppose 379 - 389 = -10*q. Let i be -1119 + -5 - -4 - q. Round i to the nearest one hundred. -1100 Let n = -47433.00038101 - -47433. Round n to 5 dps. -0.00038 Let i = -2583 + 2585.283. Let m = i + -2.85. Let g = -0.5 - m. What is g rounded to two dps? 0.07 Let t = 0.2518996763 - 0.2519. What is t rounded to
{ "pile_set_name": "DM Mathematics" }
sqrt(1008)/sqrt(4)). -3*sqrt(2)/2 Simplify (-5*(4 + (sqrt(108) - (-2*sqrt(108) + 5)) + -4*(sqrt(108) + 0)*2))**2*-2. -135050 - 3000*sqrt(3) Simplify (2*1*sqrt(637)*3)**2 - ((sqrt(832)*4)/sqrt(4) + 3). -16*sqrt(13) + 22929 Simplify (4*(-2*sqrt(114)*1 + sqrt(114) - -3*(sqrt(114) + sqrt(114)*2)))/((sqrt(24) + (2*sqrt(144))/sqrt(6))/sqrt(144)). 64*sqrt(19) Simplify (0 + ((sqrt(180) + sqrt(180)*2)/sqrt(3)*-1)/(sqrt(108) - (sqrt(108) + sqrt(108) + sqrt(108) + sqrt(108)*-2*-4))*3*2)**2. 9/5 Simplify ((sqrt(416) - 3*2*sqrt(416))/(sqrt(288) - 2*sqrt(288)))/((3*sqrt(80))/((sqrt(40)*-1)/sqrt(8))). -5*sqrt(13)/36 Simplify 3 + (((2 + sqrt(44) + 0)*4)**2 - (0 + sqrt(11)*-1 + sqrt(11)*-1 + 5)). 130*sqrt(11) + 766 Simplify -4 + (-1*((sqrt(192) - 1*sqrt(192)) + sqrt(192)))/(sqrt(36)/(sqrt(144)*3 - sqrt(9))). -44*sqrt(3) - 4 Simplify (-1 + ((sqrt(160) + 3*(sqrt(160) - sqrt(160)*-2))/sqrt(8))/(((sqrt(48) + 1*sqrt(48))/sqrt(3))/sqrt(4)))**2. -10*sqrt(5) + 126 Simplify (1*(0 + sqrt(720)) - (1*(sqrt(720) + 0 + sqrt(720)) - sqrt(720)))**2 + 2 + (-1*sqrt(245)*2)**2. 982 Simplify -4*(((sqrt(1620) - sqrt(45))/sqrt(9) - (-2 + sqrt(80) - sqrt(5))) + (sqrt(5)*1 + 1 - (sqrt(5) + -1 + 5))). -8*sqrt(5) + 4 Simplify -2 + ((sqrt(133) + (2*sqrt(133) + sqrt(133) + sqrt(133))*1)/(sqrt(7) - (sqrt(175) + sqrt(175)*-2 - sqrt(175))) - ((2*sqrt(114)*-2)/sqrt(6) + 0)). -2 + 49*sqrt(19)/11 Simplify (1 + 1 + sqrt(125) - sqrt(125) - sqrt(125)*1*-4)**2 + sqrt(960)/sqrt(12) + (sqrt(405)*2)**2 + 0. 84*sqrt(5) + 3624 Simplify -2 + (-5*(sqrt(2268) - sqrt(2268)*2 - sqrt(2268)))/(-1*(-1*sqrt(40))/sqrt(10)) + 5. 3 + 90*sqrt(7) Simplify ((sqrt(1216) + 3 - sqrt(1216)) + sqrt(19) - -3*sqrt(19)*1)**2 - (-6*1*sqrt(76) + sqrt(76))/(sqrt(40)/sqrt(40)). 34*sqrt(19) + 313 Simplify ((4 + 4 + -1*sqrt(275))*-1 + (2 + -6*1*sqrt(275))*-2)**2 + 1. -1560*sqrt(11) + 46620 Simplify 0 + (-2*sqrt(11) + -5)**2 + (sqrt(275) + -2)**2 - (-3*(-1*sqrt(11))**2 + -2 + (sqrt(33)/sqrt(3) - sqrt(11)) + -2 + sqrt(110)/sqrt(40)). -sqrt(11)/2 + 385 Simplify -5*5*(-2*(sqrt(2299) - (0 + sqrt(2299))) + (sqrt(2299) + -1)*-2 + (sqrt(2299) - (4 + (sqrt(2299) + 1 - sqrt(2299))))*6)**2. -939200 + 61600*sqrt(19) Simplify (sqrt(85) + (sqrt(85) + (sqrt(85) - sqrt(85)*1))*1)/(sqrt(50)/(sqrt(10) + sqrt(90))) + ((sqrt(272) + -1)**2 - (sqrt(119)/sqrt(7) + 1))*1. -sqrt(17) + 272 Simplify -4*(((-2*sqrt(216) + sqrt(216))*2)/sqrt(6))/(sqrt(84)/sqrt(28) - (sqrt(12) - 6*(sqrt(12) + sqrt(108) + sqrt(12)))). 16*sqrt(3)/59 Simplify (0 + -2*sqrt(605) + (0 + sqrt(605) - sqrt(605)) + 2 - (0 + 6*(-1 + (sqrt(605) - (0 + sqrt(605))) - sqrt(605))))**2 + -4. 704*sqrt(5) + 9740 Simplify (-5*((sqrt(91) - sqrt(91)*1)*6 - 2*2*sqrt(91)))/((sqrt(210)/(sqrt(6) - sqrt(24)))/(sqrt(500) + 2*sqrt(500))). -600*sqrt(13) Simplify ((-4*(sqrt(1260) + sqrt(1260)*2 + (-2*sqrt(3500) - sqrt(3500))))/(sqrt(45)/sqrt(225) + sqrt(30)/(sqrt(18)/sqrt(3))))**2. 11200 Simplify (-3*sqrt(68)*4 + sqrt(68)*4*1)/((sqrt(20) - (sqrt(180) - (-2*sqrt(180) - sqrt(180)))/sqrt(9))/(sqrt(5) + sqrt(45)*-4)). -88*sqrt(17)/3 Simplify ((sqrt(385) - (sqrt(385) + (3*sqrt(385) - sqrt(385))))/sqrt(11) - sqrt(210)/(-1*sqrt(6)))/(((sqrt(50) - 2*sqrt(50))*6)/(sqrt(90)*3)). 3*sqrt(7)/2 Simplify (((sqrt(152) - sqrt(152)*-2)*5 - -3*(sqrt(152) + (sqrt(152) - sqrt(152)*-1)))*3)/(((sqrt(56) + sqrt(896))*-3)/(sqrt(112)*2)). -192*sqrt(19)/5 Simplify ((-5 + 1 + (sqrt(300)*2*-5 - (3 + 0 + sqrt(300))) + 2)*4)**2. 17600*sqrt(3) + 581200 Simplify ((-5 + (-3 + sqrt(343))*-5)*-3 + 2 + 0)**2. -5880*sqrt(7) + 77959 Simplify (-4*(6*sqrt(147) - 1*sqrt(3)*4 - (sqrt(12) + 0 + -3*sqrt(3)*-4)) + -1)**2. 192*sqrt(3) + 27649 Simplify (-2 + sqrt(704) + sqrt(704))**2*-3 - (-3 + sqrt(704) + -5*sqrt(704)) - (3 + 0 + sqrt(704) + 1 + 1*sqrt(704) + 1)**2. -11298 + 64*sqrt(11) Simplify (4 + sqrt(20) + sqrt(5) - sqrt(5)) + sqrt(5) - (sqrt(125) + -2) - ((5*(1 + sqrt(500) + sqrt(500) + sqrt(500)))**2 + -1). -112518 - 1502*sqrt(5) Simplify -5*(-3*(sqrt(88) + -5*1*sqrt(88) + sqrt(88))*-3)/(sqrt(648) - -2*sqrt(648)*-1 - (sqrt(648)*1*-3 - sqrt(648))). 5*sqrt(11) Simplify ((sqrt(320) + -1*sqrt(320) + sqrt(320) - sqrt(5)) + 4)**2*2*2 + sqrt(45)/(-1*sqrt(9)*-6) + 2 + (sqrt(25) + 1*sqrt(25))/sqrt(5). 1357*sqrt(5)/6 + 1046 Simplify (sqrt(76) + sqrt(76)*2 + 4 + sqrt(76) + 5 - -3*(sqrt(76)*3 + 3))**2 + -1. 936*sqrt(19) + 13167 Simplify (-4 + (sqrt(684) - (sqrt(684)*2 + sqrt(684)))*-2 - (0 + (-5*-1*sqrt(114))/sqrt(6))**2) + 2. -477 + 24*sqrt(19) Simplify ((sqrt(360)/sqrt(6))/sqrt(5)*-2)/(-2*sqrt(294)*4) + -5. -5 + sqrt(2)/28 Simplify ((sqrt(275) + 3)*3 + 0)**2 + (sqrt(66)*2*-2 + sqrt(66) - sqrt(66))/(sqrt(216) + 2*sqrt(216) + sqrt(216)). 1619*sqrt(11)/6 + 2556 Simplify (5*1*sqrt(297) - (1*sqrt(297) - sqrt(297))*-6)/(((sqrt(110) + sqrt(110)*2)*-5)/(sqrt(10) + (sqrt(10) - (-2*sqrt(100) - sqrt(100))/sqrt(10)))). -5*sqrt(3) Simplify 1 + -2*((sqrt(192)*1 + 4 + sqrt(192) + 1)*1*-4)**2*-4. 20480*sqrt(3) + 101505 Simplify ((sqrt(176) + (sqrt(176) + -2 + sqrt(176) - sqrt(176)) + 1 - 2*sqrt(176)*-1)*-1)**2 - (4 + ((-1 + sqrt(176))*-1 + (3*1*sqrt(176) - sqrt(176)))**2). -40*sqrt(11) + 2636 Simplify (sqrt(462)/(sqrt(11) - -3*sqrt(66)/sqrt(6)))/((sqrt(6) - sqrt(36)/sqrt(150)) + (1*(sqrt(6) - (sqrt(150) - sqrt(6))) - sqrt(6))). -5*sqrt(7)/64 Simplify (3*sqrt(150) - (sqrt(72)*4)/sqrt(12))/(sqrt(3) + sqrt(540)/sqrt(5) - 5*sqrt(12)/sqrt(4)). 11*sqrt(2)/2 Simplify sqrt(3)*1*-2*-2 + 3 - ((-6*(0 + sqrt(192)))**2 - (sqrt(192) - ((sqrt(192) + 1 + sqrt(192))*-5 - sqrt(192)))**2). 964*sqrt(3) + 20764 Simplify -1*((sqrt(99) + sqrt(99) + -5 + sqrt(99) - sqrt(99) - sqrt(99))**2 + -2 - ((sqrt(55)*5)/sqrt(5)*1)**2). 30*sqrt(11) + 153 Simplify (sqrt(133)/(sqrt(49)/sqrt(7)) - sqrt(228)/(sqrt(12)*1)) + (sqrt(190)/(sqrt(800)/sqrt(5) - sqrt(10)) + -3)**2. -2*sqrt(19) + 100/9 Simplify -6*(-4 + 2 + (sqrt(288) - -5*(sqrt(288) - (sqrt(288) + -1)))*-4*-3)**2. -269016 - 100224*sqrt(2) Simplify -1 + (0 + sqrt(1872) + 4 + 1 - (sqrt(1300) + (sqrt(1300) + sqrt(1300) + -1 + -1)**2 - 3*(sqrt(1300) + 0))). -5200 + 112*sqrt(13) Simplify -2 + -6*(-4*(2 + sqrt(539)) - sqrt(539))**2 + (sqrt(539) + -3*(sqrt(539) + 0))**2*5. -70456 - 3360*sqrt(11) Simplify (((-1*sqrt(200)*6)/sqrt(8)*-5)/((sqrt(500) - sqrt(500)*-1)*-4 + sqrt(500) + sqrt(500) + -2*sqrt(500)*-2))**2. 45/4 Simplify 3*(sqrt(6)/(sqrt(6)/sqrt(3)*-1) + sqrt(9)/((sqrt(66)/sqrt(2))/sqrt(11)))*3. 0 Simplify 3 + (sqrt(2) - sqrt(8))*1 + 2 - (((4 + sqrt(2))*-2)**2 + sqrt(2) - 5*-3*sqrt(2)). -49*sqrt(2) - 67 Simplify (3*(5*(-6*(sqrt(2448) + 0) + sqrt(2448)) - -1*-3*sqrt(2448)*3))**2 + 5. 25468997 Simplify (-4 + ((sqrt(567) + -5 + 4)*-4 + -4)**2)*6*1 + 0. 54408 Simplify (-1 + 1 + (-3*sqrt(1216) + 1)*-1*-2)**2. -192*sqrt(19) + 43780 Simplify (sqrt(297)/(sqrt(18)/sqrt(2) + sqrt(9)))/(sqrt(3)*2*-5) - ((-2*(1 + sqrt(5324)) + sqrt(5324))*2)**2. -21312 - 7041*sqrt(11)/20 Simplify ((6*-3*sqrt(66))/sqrt(3)*-4)/((sqrt(88) - (sqrt(88) - sqrt(88)*1)*4)/((-1*sqrt(64))/sqrt(8))). -72*sqrt(2) Simplify 4 + ((-1*(sqrt(153) + sqrt(153)*-1 + sqrt(153)))**2 + sqrt(153) + sqrt(153) - (-2 + (sqrt(153) + sqrt(153) + 3 + sqrt(153))**2 + sqrt(153))) + -4 + -2. -1233 - 51*sqrt(17) Simplify (0 + -2*(sqrt(4)*-2)/sqrt(2) + (sqrt(12)*1*1)/(sqrt(6) + sqrt(6) + sqrt(6)*1*4))**2*-6. -625/3 Simplify (6*-5*-2*(0 + (sqrt(119)*-4*5)/sqrt(7)))**2. 24480000 Simplify ((2 + sqrt(891) + sqrt(891))*-1 + sqrt(891) + -3 + -3 - (-4 + sqrt(891)*-1 - sqrt(891) - (sqrt(891) - -3*(2 + sqrt(891)))))**2. 180*sqrt(11) + 22279 Simplify 5*((-1 + sqrt(35)/(2*sqrt(7)) + (5*sqrt(50))/sqrt(10) + 2)**2 + 0)*-5. -15225/4 - 275*sqrt(5) Simplify (1 + -1*(-1 + -4 + 5*(sqrt(7) + 4))*5 + -3)**2 + 0. 3850*sqrt(7) + 10304 Simplify (sqrt(2) + sqrt(352)/sqrt(11) - (sqrt(2) + -5 + sqrt(8)) - 1*(sqrt(18) + 2))**2 + (sqrt(128) + -2 + -5 + 4)**2 + 3. -54*sqrt(2) + 151 Simplify -3*(((-5*-2*sqrt(243))**2 - sqrt(243)) + sqrt(243))*-6*-1 + -4. -437404 Simplify (((sqrt(99) - sqrt(99)*-5) + sqrt(99))*-3*4)/(((sqrt(18)*-3)/sqrt(2) + sqrt(9))*-2). -21*sqrt(11) Simplify (5*(-1 + (sqrt(1573) + -5)*5) - ((3 + sqrt(1573) - sqrt(1573)) + -2)*-1*-6)**2. -74800*sqrt(13) + 1001621 Simplify sqrt(45)*-2 + (sqrt(125)*4 - sqrt(125))**2 + (-4*(-4 + sqrt(80)))**2*-5 + 2. -6553 + 2554*sqrt(5) Simplify (-1*((sqrt(2448) + sqrt(2448)*1)*-5 - sqrt(2448)
{ "pile_set_name": "DM Mathematics" }
Express (-7*n + 3*n + 22*n)*(-2*n**2 + 2*n**2 + 3*n**3) + 5 - 2*n**4 - 5 in the form v*n**4 + q*n**3 + k + c*n + l*n**2 and give k. 0 Express 8*o + o + 6 + 3*o - 6*o as b*o + m and give b. 6 Express -8*w**2 + w - 2*w**4 + 0*w**3 - 3*w**3 + 9*w**2 + 6 in the form r*w + c + j*w**4 + n*w**2 + v*w**3 and give n. 1 Rearrange 3 - g - g + 1 + (0 - 2 + 3)*(g + 0*g + g) + 2*g - 4*g + 3*g + 5*g - 3*g - 6*g to m + v*g and give v. -3 Express 9 - 7*h**2 + h**3 - 5 - 4 as n*h**2 + q + d*h**3 + x*h and give d. 1 Express -52 - 47*i - 58 + 110 in the form f + u*i and give u. -47 Rearrange ((3 + 2*i - 3)*(0 + 1 + 5) + 5*i - 4*i - 2*i)*(-i - i - 1 + 0) to y*i**2 + c + m*i and give m. -11 Express (0 + 2 - 1)*(-25*s**4 + 64*s - 64*s) as i*s + y*s**4 + m*s**3 + l + d*s**2 and give y. -25 Express -6*m + m + m in the form h + j*m and give j. -4 Express 4 + 14*b - 7 + 1 in the form v + w*b and give w. 14 Rearrange (-3 + 0 + 4)*(17 - 17 + 31*i) to the form m + a*i and give a. 31 Rearrange (-1 + 1 + g)*(3 - 2*g - 3)*(-2 + 0 + 1) to the form s*g**2 + o + d*g and give s. 2 Express 11 + 29 + n**2 - 2*n**2 + 0*n**2 as i*n**2 + o + u*n and give i. -1 Express -2 - 4*q**4 + 3*q**2 - q + 2*q**4 - q**3 - 4*q**2 - 10 in the form c*q + t*q**4 + w*q**2 + a*q**3 + i and give c. -1 Rearrange (6*h**3 - 2*h**3 - 2*h**3)*(-8 + 16 + 10) to b + g*h**2 + c*h**3 + r*h and give c. 36 Rearrange (-1 - 1 - 185*l**2 + 178*l**2)*(2 - 3 - 1) to s + o*l**2 + m*l and give o. 14 Rearrange -36*v - 30*v + 40*v to h*v + w and give h. -26 Express 15*m**2 - 2*m**3 + 2 - 15*m**2 as s*m**2 + p*m + a*m**3 + w and give w. 2 Rearrange -41*j**2 - 1 - j**4 + j**3 + 42*j**2 + j**3 to the form u*j**2 + d*j**4 + x*j + n*j**3 + z and give d. -1 Express -87 + 17*h**3 - 89 + 177 as y + k*h + c*h**2 + t*h**3 and give c. 0 Rearrange (q - 3*q + 0*q)*(-q + q**2 + q) - q**3 - 12*q**3 - q**3 + 2*q**3 + 4 + 1 - 4 to a + s*q + v*q**3 + b*q**2 and give a. 1 Rearrange -j + 2*j**3 - 180 - j**3 + 197 to m*j**3 + w + f*j**2 + x*j and give f. 0 Rearrange -2*s**4 - s**2 + 4*s**3 - 3*s**3 + s + 0*s**4 + 0*s to the form g*s**4 + x*s**3 + j*s**2 + b*s + n and give g. -2 Rearrange (2*i - 2*i + 2*i)*(-465 + 927 + 23*i**3 - 466) to the form v*i**3 + x*i**2 + w*i**4 + p*i + c and give p. -8 Rearrange (-4 + 8 - 9)*((2 - 3 + 2)*(-5*x - x + 3*x) + 0*x - 2*x - 2*x) to the form w + z*x and give z. 35 Express 6*z**2 + 5*z - 2*z + 4*z - 2*z**2 in the form p*z + y*z**2 + x and give p. 7 Rearrange (2 + 2 - 2 - 1 + 1 - 2 + (1 + 2 + 1)*(-1 + 4 - 1))*(-6*y + 3*y + 5*y) to s*y + f and give s. 16 Rearrange -m**3 - 5*m**3 + 3*m**4 + 3*m**2 + 3*m - 4*m**2 + 4*m**3 to b*m**3 + o*m**4 + j*m**2 + x*m + l and give b. -2 Express (-13 + 12 - 24)*(-3*u**2 - u**2 + 3*u**2) in the form a*u + q*u**2 + b and give q. 25 Express 3*z**2 - 2*z - 2*z**4 + z**2 + 3 - z**3 - 4 - z**3 in the form k*z + q + a*z**2 + j*z**3 + i*z**4 and give k. -2 Rearrange (0 + 0*q - 1 - 2*q)*(-7 - 10 - 4) + 3*q - 3*q + q - 2 + q + 2 + (3 - 6 + 5)*(0 + 0 - 2*q) to i*q + c and give i. 40 Rearrange (-1 + 8 - 2)*(-2 - 2 + 2)*(-2 - y + 2) to the form v + k*y and give k. 10 Rearrange -21*n**2 - 23*n**2 - 16*n**2 + (n - 3*n + 3*n)*(0*n - 4*n + 3*n) to r*n**2 + j*n + d and give r. -61 Express -10*i**2 + 7*i**2 + 65*i**2 in the form o*i**2 + v + n*i and give o. 62 Express 12*w**2 + 30*w**2 - 13*w**2 as b*w + s*w**2 + j and give s. 29 Express (1 - 4 - w + 2*w**2 + 0*w**2)*(9 + 12 - 24) as k*w**2 + i + d*w and give k. -6 Express 4*p**3 - 1 - 2*p**3 - 8*p**2 + 3*p**2 - p**2 in the form j*p**3 + s*p**2 + v + l*p and give s. -6 Express (1 + 2*v - 1)*(-4*v + 2*v + 4*v) + 0 + 0 + 23*v**2 in the form s + j*v + n*v**2 and give n. 27 Rearrange -11*r - 11*r + 4*r - r to f + y*r and give y. -19 Express x + 7*x + 0*x as q*x + j and give q. 8 Express -35*o**2 + 32*o**2 - 4*o**3 - 2*o**3 as m*o + k + x*o**2 + d*o**3 and give x. -3 Express (-t + 2*t + 4*t)*(3 - 3 - 1) - 2*t + 0*t - 3 + 0 in the form x*t + q and give q. -3 Rearrange -16*l**3 - 4*l - 3 + 3*l + 14*l**3 to the form y*l + x + q*l**3 + s*l**2 and give q. -2 Rearrange -2*y**4 - 22*y**3 + 1 + 10*y**3 + 2*y - 2*y to j*y**2 + i*y + a*y**4 + g*y**3 + w and give g. -12 Rearrange l**2 + 64*l**3 + 1 - 2*l - 4*l - 63*l**3 - 3 to the form p*l**3 + m + k*l**2 + v*l and give p. 1 Rearrange 18*v**3 + 3 + 20*v**3 - 55*v**3 + 15*v**3 to the form m*v**2 + z*v**3 + g*v + d and give z. -2 Express (-4*b + 2*b + b)*(-b + 1 - 1) + 4*b**2 - 9*b**2 - b**2 as f*b + h + p*b**2 and give p. -5 Rearrange -5 + 0*p + 2*p + 5 to s*p + v and give s. 2 Express v**2 + 4*v**2 - 9*v - 3*v as d*v + z + a*v**2 and give z. 0 Express -43*q - 16*q + 22*q in the form w*q + x and give w. -37 Rearrange 3*j**3 - 29*j**4 - 1 - 2*j**3 + 26*j**4 to the form x + s*j + h*j**4 + b*j**2 + p*j**3 and give h. -3 Express ((2*d - 2*d - 2*d)*(-4 + 7 - 2) + 9*d - 2*d - 2*d)*(-4 + 3 - 4*d**2 + 5*d**2) in the form n*d + i*d**2 + w*d**3 + k and give w. 3 Rearrange 2 - 4 - 1147*v + 1144*v to y + s*v and give s. -3 Express 18*m - 15*m - 13 + 2 as i*m + n and give i. 3 Rearrange 177 - 32*y - 177 + 6*y to the form t*y + g and give t. -26 Express 47*h + 2 - 28*h - 2 as w + u*h and give u. 19 Rearrange -10*r**3 - 667*r**2 - 7*r + 332*r**2 + 335*r**2 to the form v + x*r**3 + w*r + j*r**2 and give x. -10 Express -5*a + 4 - 2 + 0*a**3 - a + 5*a**3 as z*a**2 + g + q*a + v*a**3 and give g. 2 Rearrange 4*q**3 + 5*q**3 - 26*q**2 + 29*q**2 to the form z + r*q**3 + c*q**2 + j*q and give j. 0 Rearrange 6*s**3 + 2*s**3 + 0*s**3 + 4*s**3 + 2*s to f*s + c + a*s**2 + j*s**3 and give j. 12 Rearrange 121 - 2*k**4 + k**4 - 117 - 2*k**2 to z*k**3 + d*k**4 + o*k + b + y*k**2 and give d. -1 Express (2*v**3 - 3 + 3)*(v + v + v) + 150 + v**4 - 4*v**2 - v**3 - 148 - 3*v**4 in the form j*v**4 + u*v + f + x*v**3 + w*v**2 and give f. 2 Express -10*v + 37*v + 17*v - 3*v as b + l*v and give l. 41 Rearrange -2*o + 0*o**3 - 2 - 6*o**3 + 0 - 5*o**3 to the form g*o**3 + r*o**2 + s*o + u and give s. -2 Express 53*h**2 + 71*h**2 - 26*h**2 + 192*h**2 + (0*h - 2*h + 4*h)*(-5*h - h + 4*h) + h - h + 2*h**2 in the form j + k*h**2 + z*h and give k. 288 Express 10*h + 9*h - 25*h - 41*h in the form j + x*h and give x. -47 Rearrange -139*c + 45*c + 50*c + 50*c - 19 to the form u + q*c and give q. 6 Rearrange 5*y**3 + 3*y**4 - 5*y**3 + (2 - 2 + 3)*(-2*y**4 + y**4 - y**4) to i + u*y + o*y**3 + t*y**2 + m*y**4 and give m. -3 Rearrange 0 - 55*o + 0 + 97*o to v + w*o and give w. 42 Rearrange 8*p**3 - 59 + 9*p**3 + 57 to s*p + r*p**3 + n*p**2 + t and give t. -2 Rearrange (32*t + 41*t - 72*t - 11)*(-t**2 - t**2 - 4*t**2) to the form l*t**3 + d*t**2 + c + h*t and give d. 66 Express 6 - 10*r + 2*r**2 - 4*r**2 + 10*r in the form b*r**2 + y + v*r and give b. -2 Rearrange 2*j**3 - 3*j**2 + j**2 + 0 + 10*j**2 - 1 to the form k + y*j**3 + z*j**2 + o*j and give y. 2 Rearrange 2 + 40*x - 5 + 2 + 0 to the form u + q*x and give q. 40 Express (3*p + 83 - 83)*(3*p**3 + 2*p - 2*p**3 + 7*p) in the form u*p**4 + f*p + y + x*p**2 + n*p**3 and give u. 3 Rearrange 8*n + 2 - 2 + 8*n to v*n + r and give v. 16 Rearrange -59 + 58 + 0*m + 29*m**3 - 2*m to the form a*m**2 + o*m + r*m**3 + k and give r. 29 Express -18 - z**3 + 11*z + 20 + 3*z**3 as v + o*z**3 + q*z**2 + f*z and give f. 11 Express -2*k**2 - 2*k + 9*k - 2*k as q*k + l + r*k**2 and give l. 0 Express (-4*k**2 + 2*k**2 + k**2 + (-k + k - 2*k)*(2 + k - 2))*(-2 - 1 + 4)*(3 + 1 - 3)*(-12 - 12*k + 12) as s*k**3 + q + h*k**2 + u*k and give s. 36 Express -6 - 5 + 11 - 20*s as o*s + p and give o. -20 Rearrange 0*j**4 + 51 - 59 - 2*j + 2*j**4 to m*j + b*j**2 + u*j**4 + x + v*j**3 and give x. -8 Rearrange 2*t + 0*t**4 - t**2 - 3*t + 3*t**4 + t**3 - t**2 to the form s*t**3 + p*t**2 + a + c*t + j*t**4 and give s. 1 Express x**3 - 2*x**3 + 3*x**3 - 153*x + 153*x - 12*x**3 + (2*x - 2*x - x**2)*(-x + 2*x - 2*x) in the form f*x**3 + q + w*x**2 + i*x and give f. -9 Express -14 + 8 + w**3 + 8*w + 8 in the form q*w**3 + n*w + o*w**2 + r and give r. 2 Rearrange -8*n + 5*n + n + 7*n to the form q*n + g and give q. 5 Express -g**2 - 2*g**3 + 24 + 5*g - 13 - 11 as m*g**2 + v*g**3 + x*g + t and give x. 5 Express (-4 + 1 + 1)*(2*h**2 + 3*h**2 - 12*h**2 + (0*h - 3*h + h)*(h - 3 + 3)) as g + p*h**2 + c*h and give p. 18 Rearrange 29*u**4 - 2 - 4*u + 28*u
{ "pile_set_name": "DM Mathematics" }
x = 0.158 - -0.012. Let h = x - 0.07. Sort h, r, 0.2, -4 in descending order. r, 0.2, h, -4 Let m = 892 - 889. Let v = 0.3 + -0.2. Let w = 0.212 + -0.712. Put m, w, v, -0.2 in ascending order. w, -0.2, v, m Let c(j) = 4*j. Let i be c(-3). Let m(u) = -u**2 + 25*u + 6165. Let t be m(-67). Put t, -2, i in decreasing order. t, -2, i Let g be (36/(-40))/((18/(-30))/(-1)). Put -35, 4/5, -1/2, g in increasing order. -35, g, -1/2, 4/5 Let o be (3 - (-22)/(-6)) + 3536/(-24). Let i = o - -1922/13. Let c = 1 + -0.5. Sort c, 10, i in decreasing order. 10, c, i Let j be 120/(17 - 9) - 14. Sort j, -3, 20, 16 in decreasing order. 20, 16, j, -3 Suppose -5*k = -6*k - 12. Suppose -o + 3 = -3*i + 6, -4*o + 4*i = 4. Put k, -1, o, 3 in ascending order. k, -1, o, 3 Let c = 662 - 539. Put c, 0.4, 0.1, 5, 3/5 in ascending order. 0.1, 0.4, 3/5, 5, c Let o(i) = -8*i**2 - 4*i + 419. Let b be o(7). Let k = -0.35 + -0.05. Sort k, -5, b, 1. -5, b, k, 1 Let u(h) = -8*h**2 - 49*h + 19. Let y be u(-6). Put -1, -12, y, 2, -3 in increasing order. -12, -3, -1, 2, y Let z = 7.66 - -0.34. Let o = -107 + 102. Sort o, z, 3, -4 in descending order. z, 3, -4, o Suppose -4*d - 4*r + 24 = 0, -d + 11*r = 10*r. Let h = -1.6 + 10.6. Let p = h - 9.07. Sort p, 6, d, -4. -4, p, d, 6 Let j = -11 - -13. Suppose -6 = 2*a + j. Let t(v) = v**2 + 5*v - 47. Let i be t(-10). Put i, a, 0.1 in descending order. i, 0.1, a Suppose -29*z + 4*g - 6 = -27*z, 2*z = 3*g - 7. Put -1154, 5, z, -1 in decreasing order. 5, -1, z, -1154 Let u be 2 - 1*(-9 - 2). Let y(h) = -h**3 - 180*h**2 + 9*h + 1625. Let d be y(-180). Sort d, -4, -3, u in decreasing order. u, d, -3, -4 Let r = 2759/581 - 406/83. Sort 65, r, 2/13 in decreasing order. 65, 2/13, r Suppose -6*i + 65 = 1241. Let a be 7/(i/(-7)) + (-7)/12. Let m = 19.98 - 20. Sort m, 3, a in ascending order. a, m, 3 Let k = -0.02 - 0.28. Let t(f) = -2*f**2 - 111*f + 676. Let o be t(-61). Put -8, k, -4, o in descending order. o, k, -4, -8 Let r be 5/(-2)*(-6)/5. Let g = 20.2 - 20. Let h = 269.16 + -264.16. Put 3/4, g, h, r in decreasing order. h, r, 3/4, g Let l = 16.37 + -54.37. Sort l, -5, 0 in descending order. 0, -5, l Let r = -0.00495 + -0.29505. Sort 1/5, -2/3, r, -81 in ascending order. -81, -2/3, r, 1/5 Let n(s) = 22*s - 11*s + 13*s + 2. Let i be n(-1). Put 4, 3, i in ascending order. i, 3, 4 Let n be (-3)/12*-6*12/(-906). Let k = -323/1057 - n. Sort -5, 2/11, k, -2 in increasing order. -5, -2, k, 2/11 Let n = -125.6 + 11.6. Let f = 115 + n. Put -0.35, 1/4, f in ascending order. -0.35, 1/4, f Suppose -724*t + 750*t + 104 = 0. Sort 2, t, 5396 in descending order. 5396, 2, t Let a = -202.86 - -203.36. Let d = 0.9 + -1. Sort -6, a, -4/5, d in decreasing order. a, d, -4/5, -6 Let q(z) = 7*z**3 + z**2 - z - 1. Suppose w + 3*s - 16 = 0, 5*w + 3*s - 28 + 8 = 0. Let i be q(w). Suppose -j - 63 = i*j. Put j, 5, -2 in increasing order. j, -2, 5 Suppose 3*w + 3*g - 6 = 0, 0 = -w - 2*g + 3 + 2. Let z be 1/1*(w - -3). Let r be 0/(-2)*143/3861. Sort z, -1, r. -1, r, z Let k be ((-3978)/12)/(-39) + 6/4. Put 3, 1, -0.3, k in increasing order. -0.3, 1, 3, k Let v = 186.42 - 191.42. Put v, -0.5, 20, 5 in descending order. 20, 5, -0.5, v Let n be 56/(-98) - (-202)/(-14). Let d be ((-4)/10)/(33/n + 2). Let w(q) = q**2 - 2*q - 3. Let z be w(-4). Put -4, z, d in ascending order. -4, d, z Let d = 0.5 - -0.5. Let a = 0.2 - -0.3. Suppose 0 = -103*l + 106*l + 12, 4*h - 28 = 2*l. Put d, a, h, -1/3 in descending order. h, d, a, -1/3 Let t(d) = 5*d**2 - 22*d + 3. Let u(y) = y**2 - 8*y - 44. Let x be u(12). Let b be t(x). Sort b, 5, 0.2, 0 in descending order. 5, 0.2, 0, b Let m be (0/(15 - 7))/2. Let f(o) = o**2 + 12*o - 12. Let s be f(-13). Let y be 1 - (1 + (4 - s)). Sort m, y, 5, 1 in descending order. 5, 1, m, y Suppose -4*l - 972 = 3*u + u, -2*u = -5*l - 1180. Let q be ((-1314)/73)/(18/4). Put l, 2, q, 0.5 in decreasing order. 2, 0.5, q, l Let r = 0.76 - 0.8. Let p = r + -0.96. Let c = 31 + -34. Sort p, c, -3/2. c, -3/2, p Let k be 1/2*50/325*-13. Sort k, -5, -2087, 0 in increasing order. -2087, -5, k, 0 Let j = 1083 + -1083.4. Suppose -4*d + 5*z - 10 = 0, 4*d = -z - 2*z + 6. Sort 1, j, 0.3, d in decreasing order. 1, 0.3, d, j Let b(g) = -17*g - 131. Let c be b(-8). Sort 21, 1, -5, c in increasing order. -5, 1, c, 21 Let j(q) = -q**2 + 49*q - 513. Let p be j(34). Sort 42, 2, p, -2, -4 in decreasing order. 42, 2, -2, p, -4 Let y(u) = 30*u - 120. Let k be y(4). Sort -16, 1, k, -13 in ascending order. -16, -13, k, 1 Let q be (680/102)/(7/(-3) - -2). Let l be (-15)/q*(-32)/(-12). Put -0.2, l, 4, 7 in descending order. 7, 4, l, -0.2 Let l = 3287/4 + -23017/28. Put l, 3, 0, 52 in decreasing order. 52, 3, 0, l Let u = -21 - -21.5. Let i be (5/((-3)/3))/2. Let w = -521 + 523. Sort i, w, u. i, u, w Let c = -2092 - -2090. Put -7, -45, -5, c in decreasing order. c, -5, -7, -45 Suppose 24*l + 4 = 26*l. Let s = 28 - 29. Let q be 0 + (4 + s)/3. Sort -3, -4, l, q in increasing order. -4, -3, q, l Let w = 248 - 402. Let b = -156 - w. Let a = 26.5 + -28. Put 0.4, -0.4, b, a in ascending order. b, a, -0.4, 0.4 Suppose -o + 5 = 2. Let a(u) = -3*u**3 + 39*u**2 - 86*u - 7. Let k be a(3). Put k, 8, o, 1 in ascending order. 1, o, k, 8 Let l = -3 + 5. Let y = 0 + -1. Let u = 26.078 - 21.078. Put y, l, u in increasing order. y, l, u Let g = 235 + -260. Let c be (-22)/(-275) + 77/g. Put c, 1, -16, 4 in descending order. 4, 1, c, -16 Let x = -0.22042 - 215.78958. Let m = -217 - x. Let l = 0.01 - m. Sort 5/4, 2, l in decreasing order. 2, 5/4, l Let f = 46.8 - 47.5. Sort 0.1, -0.5, 3, 0.3, f in ascending order. f, -0.5, 0.1, 0.3, 3 Let t = -0.2 + -0.8. Let f = -152.68 + 152.48. Put f, t, -0.4, -4 in ascending order. -4, t, -0.4, f Let n = -10/2431 - -452/2431. Sort n, 0, -7, 0.1, 2/7 in decreasing order. 2/7, n, 0.1, 0, -7 Let v = 19 + 5. Suppose -105*x = -110*x - 190. Let f be 36 + x - (0 - 7). Put v, 1, f in decreasing order. v, f, 1 Let l = -222.64 + 224.64. Let g be -2 + 1 + (-30)/(-34). Sort 1/14, g, l. g, 1/14, l Let d be ((-15)/2 + (-2882)/(-524))*(-2)/(-40). Let o = 128/3 - 43. Sort -2, d, o, -21 in increasing order. -21, -2, o, d Suppose -3*x + d + 3*d + 12 = 0, -3*x - 2*d = 6. Suppose 43*p - 38*p = 70. Suppose 18*a - 22 - p = 0. Sort 1, a, -2, x. -2, x, 1, a Let p = 3.236 + -3.536. Sort -5, -110, p, 1/3 in descending order. 1/3, p, -5, -110 Let g = -0.629798 + 0.129798. Let u = -0.06 + -0.54. Sort 0.5, 2/15, u, g in descending order. 0.5, 2/15, g, u Let l(u) = -2*u - 1. Let o be l(-1). Let h = 12004.1 - 12004. Sort 3, o, h in decreasing order. 3, o, h Suppose 4 + 4 = -4*j. Let d = 63 - 62. Let p be 3/2*(-7 - (-6 + d)). Put -6, j, p in decreasing order. j, p, -6 Suppose -39*a = -52*a + 5278. Let j = a + -401. Sort 4, j, -5 in descending order. j, 4, -5 Let j = 7703 - 8854. Put 2, j, 5 in descending order. 5, 2, j Let v be (63/(-12))/(-1) - (-10)/(-40). Suppose -4*r - 5*c = v, 3*c + 10 + 10 = r. Sort -20, r, -1. -20, -1, r Suppose k + 3 = -2*c, 7*c = -4*k + 19*c + 28. Put -9, -1, 0, k in ascending order. -9, -1, 0, k Suppose -2*g + 24 = 4*m - 7*m, -5*m + 17*g - 81 = 0. Put 6, -2, m, 1, -9 in descending order. 6, 1, -2, m, -9 Let t(z) = -2*z - 1. Let r be t(-3). Suppose -y + r = 4*y. Suppose -3*i - 5 = -f + 8, 4*f - 5*i = 31. Put f, y, -5 in increasing order. -5, y, f Let u(v) = v. Let q be u(-4). Let b(o) = -o**3 + 2*o**2 + 25*o + 2. Let c be b(q). Put 5, c, -11 in decreasing order. 5, c, -11 Let g = -29 - -57. Suppose -g = 4*t + 4*h + 28, 0 = 5*h. Let f be -2 + (-77)/t - 1/2. Put 5, -12, f in ascending order. -12, f, 5 Let t = 0.07416 - 0.09416. Put t, -2, -15, 0 in descending order. 0, t, -2, -15 Let r = -22598 + 22599. Sort 0.04, r, 176 in decreasing order. 176, r, 0.04 Let n = -766 + 768. Sort n, 215, 5, -1. -1, n, 5, 215 Suppose -38*c - 76 - 38 = 0. Suppose 0 = -5*f - 5*t, 0*f = f - 2*t. Put -4, f, c in decreasing order. f, c, -4 Let s = -13715/18 + 762. Put -6, -3, s, 2, 0.01 in decreasing order. 2, s, 0.01, -3, -6 Suppose -4*a + 3*h + 65 = -85, 4*h - 28 = -a. Let r be a/(-96) + 3/(-16)*-2. Suppose -12 = 4*v, o - 3*v - 4 = 2*o. Sort o, 1, -4, r in increasing order. -4, r, 1, o Let u(d) = -7*d - 1083. Let q be u(-155). Sort -15, q, -36 in descending order. q, -15, -36 Let u be 171/9 - (-5 - -3). L
{ "pile_set_name": "DM Mathematics" }
What is next in 132213, 528848, 1189905, 2115384, 3305285, 4759608? 6478353 What comes next: -2176, -4356, -6536? -8716 What is next in 2827338, 5654674, 8482010? 11309346 What is the next term in -194450, -194451, -194452, -194453? -194454 What comes next: -14, 61, 130, 193, 250? 301 What comes next: 14844035, 14844036, 14844037, 14844038, 14844039, 14844040? 14844041 What is next in -24300, -24290, -24280? -24270 What is next in -568, -4616, -15612, -37030, -72344, -125028, -198556, -296402? -422040 What comes next: 106594, 106595, 106596, 106597? 106598 What is the next term in -2053, -2070, -2091, -2116, -2145, -2178, -2215? -2256 What comes next: 142518, 142521, 142524, 142527? 142530 What is the next term in 254, 82, -90, -262, -434, -606? -778 What is next in 16548, 33089, 49630, 66171? 82712 What is the next term in -17069, -68367, -153893, -273641, -427605? -615779 What comes next: 8282, 8289, 8294, 8291, 8274, 8237? 8174 What is next in -95126, -95139, -95152, -95165, -95178? -95191 What is the next term in 769, 1584, 2399? 3214 What is next in 815, 1951, 3087, 4223, 5359? 6495 What is next in -1433, -1327, -1151, -905? -589 What is next in -258, -251, -238, -219, -194? -163 What is the next term in -21118, -84407, -189888, -337561, -527426, -759483? -1033732 What comes next: 461, 889, 1263, 1583, 1849? 2061 What comes next: -4, -3, 18, 77, 192, 381? 662 What is next in -16494, -65962, -148406, -263826, -412222? -593594 What is next in 47, -691, -1921, -3643? -5857 What comes next: 29, 159, 403, 761, 1233, 1819, 2519? 3333 What is the next term in -402, -404, -396, -372, -326, -252? -144 What is the next term in -303297, -303288, -303279, -303270, -303261? -303252 What comes next: 103957, 207916, 311875? 415834 What is next in 247908, 247977, 248048, 248121, 248196? 248273 What is the next term in -1707, -13681, -46177, -109455, -213775? -369397 What is next in 30850, 30802, 30754, 30706? 30658 What is next in 59, 180, 309, 458, 639? 864 What is next in -2043, -8278, -18673, -33234, -51967, -74878, -101973? -133258 What is the next term in 5, 77, 289, 713, 1421, 2485, 3977, 5969? 8533 What is next in 62, 297, 680, 1205, 1866, 2657, 3572? 4605 What is the next term in 25725, 25710, 25695, 25680, 25665? 25650 What comes next: -2683, -5357, -8025, -10687? -13343 What comes next: 1117, 934, 441, -518, -2099, -4458? -7751 What is the next term in 13434, 13429, 13422, 13413, 13402, 13389, 13374? 13357 What comes next: 8120, 8121, 8102, 8051, 7956, 7805, 7586, 7287? 6896 What is the next term in 14531, 58134, 130811, 232568, 363411, 523346, 712379, 930516? 1177763 What is next in 2007221, 2007223, 2007225? 2007227 What is next in -11, -24, 1, 58, 141? 244 What is the next term in -1122, -1566, -2312, -3360? -4710 What comes next: -918, -1839, -2744, -3627, -4482, -5303, -6084? -6819 What comes next: -1752, -3529, -5328, -7155, -9016, -10917, -12864, -14863? -16920 What is the next term in -17080, -34157, -51234? -68311 What comes next: -110725, -110727, -110729, -110731? -110733 What comes next: 37, 74, 117, 178, 269, 402? 589 What is next in 2654, 5386, 8114, 10838, 13558, 16274? 18986 What comes next: 326969, 326970, 326971, 326972? 326973 What comes next: 213578, 213582, 213586, 213590, 213594? 213598 What comes next: 32, 92, 182, 308, 476? 692 What comes next: -523, -554, -587, -622, -659, -698, -739? -782 What is the next term in 436, 863, 1290, 1717? 2144 What is the next term in -10450, -10483, -10538, -10615, -10714? -10835 What is next in 76770, 76772, 76774? 76776 What is next in -117464, -117545, -117680, -117869? -118112 What is the next term in -443, -1575, -3459, -6095, -9483, -13623? -18515 What is the next term in -26087, -26135, -26187, -26243, -26303, -26367, -26435? -26507 What is next in 29596, 29593, 29590, 29587, 29584? 29581 What is next in -23064, -46095, -69098, -92073, -115020, -137939, -160830? -183693 What is next in 328, 850, 1584, 2530, 3688, 5058, 6640? 8434 What comes next: -44, -157, -340, -593, -916, -1309? -1772 What is next in -240, -307, -374, -441, -508? -575 What is next in 980, 1596, 2210, 2816, 3408, 3980, 4526, 5040? 5516 What is the next term in 22189, 44369, 66537, 88693, 110837, 132969, 155089? 177197 What is next in 135, 346, 557, 768, 979, 1190? 1401 What comes next: -116013, -116009, -116003, -115995? -115985 What is next in 26081, 52168, 78255, 104342, 130429, 156516? 182603 What is next in 62, 103, 118, 107, 70, 7, -82? -197 What is next in 2083, 8332, 18763, 33388, 52219? 75268 What comes next: -3651, -3662, -3673, -3684? -3695 What is next in -324, -1023, -2130, -3639, -5544, -7839? -10518 What is the next term in 137, 355, 911, 1973, 3709, 6287? 9875 What is next in 2539, 2504, 2469, 2434? 2399 What is next in 895, 986, 1137, 1342, 1595, 1890, 2221, 2582? 2967 What is next in -44, -69, -148, -281, -468, -709? -1004 What is the next term in -4339, -16648, -37165, -65890, -102823, -147964, -201313? -262870 What comes next: 103058, 206115, 309170, 412223, 515274, 618323? 721370 What comes next: 250, 2605, 6536, 12049, 19150? 27845 What is the next term in -5785, -5795, -5805? -5815 What comes next: -2434, -2523, -2612, -2701, -2790? -2879 What is next in -15960, -63864, -143698, -255456, -399132, -574720, -782214, -1021608? -1292896 What comes next: 99, 360, 803, 1428? 2235 What comes next: -59, -123, -233, -401, -639? -959 What comes next: -655, -960, -1851, -3640, -6639? -11160 What is the next term in -26695, -26692, -26689, -26686, -26683? -26680 What is next in 983, 3371, 7351, 12923? 20087 What is next in 7549, 30208, 67967, 120826, 188785, 271844, 370003? 483262 What is next in -102, -526, -1678, -3924, -7630, -13162? -20886 What is the next term in 1352, 1306, 1260, 1214, 1168, 1122? 1076 What is the next term in 1211, 703, -143, -1327? -2849 What is next in -72, -459, -846? -1233 What is next in -27, -65, -153, -303, -527, -837, -1245, -1763? -2403 What comes next: 2378, 4758, 7124, 9470, 11790, 14078, 16328? 18534 What is the next term in -22937, -22944, -22951, -22958? -22965 What comes next: -36409, -36431, -36467, -36517? -36581 What comes next: -8231, -8230, -8229, -8228, -8227, -8226? -8225 What is the next term in 371, 699, 1027, 1355? 1683 What comes next: 877, 840, 805, 772, 741, 712? 685 What comes next: 1349, 2789, 4227, 5663? 7097 What comes next: -159, -65, 153, 507, 1009? 1671 What comes next: -98, -84, -64, -38? -6 What comes next: -684, -1137, -1602, -2085, -2592, -3129, -3702, -4317? -4980 What is the next term in -2487, -2442, -2411, -2400, -2415, -2462, -2547? -2676 What is the next term in -11252, -22489, -33712, -44915, -56092, -67237? -78344 What is next in -5828, -5810, -5782, -5738, -5672, -5578, -5450? -5282 What comes next: -433, -400, -367, -334, -301? -268 What is the next term in -699, -2811, -6331, -11259, -17595, -25339? -34491 What is the next term in 22094, 44189, 66284, 88379? 110474 What comes next: 25581, 51165, 76749, 102333, 127917? 153501 What comes next: -5372, -5371, -5370, -5369? -5368 What is next in 708, 1474, 2242, 3012, 3784, 4558? 5334 What comes next: -81, -160, -283, -444, -637, -856? -1095 What is next in 241, 647, 1295, 2161, 3221, 4451, 5827, 7325? 8921 What comes next: -5427, -11385, -17343? -23301 What is the next term in 99048, 198099, 297146, 396189, 495228, 594263, 693294? 792321 What comes next: -37788, -75577, -113366, -151155, -188944, -226733? -264522 What comes next: 94, 58, -10, -116, -266? -466 What is the next term in 548, 2164, 4858, 8630? 13480 What is next in -1063, -2154, -3245, -4336? -5427 What comes next: -65939, -65970, -65999, -66026? -66051 What is next in -2055, -2064, -2101, -2178, -2307, -2500? -2769 What comes next: -645, -473, -269, -21, 283? 655 What is next in -203, -174, -125, -56, 33, 142? 271 What is next in -10769, -10760, -10751, -10742, -10733, -10724? -10715 What is next in 23181, 23156, 23119, 23070, 23009? 22936 What is the next term in 388, 279, 172, 67, -36, -137, -236? -333 What is the next term in 515, 974, 1433? 1892 What is the next term in -2103, -2116, -2129, -2142, -2155? -2168 What is the next term in 1031, 4193, 9489, 16919, 26483? 38181 What is the next term in 4747, 4720, 464
{ "pile_set_name": "DM Mathematics" }
-200012221112100 (base 3) in base 9? -20187470 123224200 (base 5) to base 11 381161 3afee8 (base 16) to base 9 7242557 558357 (base 9) to base 10 334177 Convert -ce9a8 (base 15) to base 9. -1211125 -2240001344 (base 5) to base 4 -103010300200 11158c (base 13) to base 8 1423104 22002020002021 (base 3) to base 6 232021441 Convert -7847388 (base 9) to base 3. -21221121102222 What is 10546234 (base 9) in base 12? 1864741 What is 3034411 (base 5) in base 4? 30003030 Convert 112312014 (base 5) to base 3. 221220221111 Convert 415711 (base 8) to base 7. 1113605 What is 10100011010110011011 (base 2) in base 12? 28324b What is 110100000100111100110 (base 2) in base 6? 100324154 221342004 (base 5) to base 14 1b1aaa -4234550 (base 8) to base 16 -113968 8eaa (base 15) to base 2 111011001100110 What is 14563 (base 9) in base 4? 2123103 What is -5b462 (base 13) in base 2? -101000111100110000 What is 30222143 (base 5) in base 12? b8191 11c70d (base 15) to base 16 d0078 Convert -2421515 (base 7) to base 12. -12a248 What is -9f576 (base 16) in base 5? -131341122 What is -39c80 (base 14) in base 2? -100010110001001000 -2595359 (base 10) to base 16 -279a1f What is -202321313 (base 4) in base 15? -2c562 -30332 (base 7) to base 3 -101010002 Convert -125596 (base 11) to base 4. -300101002 What is -10202120200010 (base 3) in base 13? -5500a7 What is -31224323 (base 5) in base 15? -5170d 2123310002 (base 4) to base 5 130410320 Convert 21101221112211 (base 3) to base 12. 139961a What is 120022111021110 (base 3) in base 6? 450235233 550941 (base 11) to base 5 211121334 -1470a82 (base 12) to base 15 -5681a2 What is -4270234 (base 8) in base 3? -2011001211010 What is 20433644 (base 8) in base 5? 2102331440 What is 2a4563 (base 11) in base 15? 958e0 Convert -16aa8 (base 16) to base 13. -33347 What is 2254544 (base 6) in base 16? 1c6c0 -26540 (base 14) to base 8 -270174 Convert -301500 (base 6) to base 8. -56254 Convert 6dd1b (base 14) to base 13. 95425 -a42bd5 (base 16) to base 14 -1600d6d Convert -226115 (base 8) to base 15. -17ba2 What is 111000010110110011 (base 2) in base 10? 230835 -131111 (base 5) to base 9 -7058 What is -11313343 (base 5) in base 3? -12021222010 What is 30728a (base 11) in base 3? 221001000020 -18d834 (base 15) to base 10 -1210099 What is -34722 (base 9) in base 12? -11502 What is -772710 (base 11) in base 12? -4b5904 What is 5255b (base 15) in base 9? 437125 Convert 1645524 (base 7) to base 6. 4533053 What is 12432130 (base 6) in base 13? 114066 What is 4e9ec0 (base 15) in base 13? a2467a What is -14212223 (base 8) in base 2? -1100010001010010010011 Convert -4621a (base 13) to base 12. -61b4b What is -4ab03d (base 16) in base 11? -2843581 Convert -1000010110111111011101 (base 2) to base 4. -20112333131 -220201012000 (base 3) to base 8 -1665752 What is 1458655 (base 12) in base 6? 223512145 Convert 5dc6d (base 14) to base 6. 4533425 Convert 101100100001001100 (base 2) to base 15. 39068 10103312111 (base 4) to base 11 701991 What is 1011200020 (base 3) in base 15? 6c96 Convert -22202101212012 (base 3) to base 6. -243422052 Convert 4560aa4 (base 11) to base 14. 10ba59b Convert 1a61 (base 16) to base 2. 1101001100001 -251418 (base 10) to base 7 -2064666 Convert 377d1 (base 15) to base 3. 100000011121 Convert -2524065 (base 7) to base 15. -666d9 What is -14214510 (base 7) in base 9? -2448763 Convert 8e12 (base 15) to base 6. 351355 What is 265b4 (base 13) in base 15? 161d1 What is -183b07 (base 13) in base 2? -10010100011111101110 What is -900a9 (base 12) in base 4? -231212001 -12122121022200 (base 3) to base 13 -81225c -112350 (base 6) to base 7 -40053 6808467 (base 9) to base 13 9b5297 12606566 (base 7) to base 16 11bb32 Convert -3011220 (base 5) to base 14. -13541 What is -10002002221112 (base 3) in base 12? -66a7b8 Convert 274c (base 16) to base 7. 41221 Convert 44100422 (base 5) to base 10. 378237 Convert 2c540 (base 14) to base 8. 330314 2c736 (base 13) to base 2 10100101011101010 What is -11111110010010111 (base 2) in base 13? -47354 What is 1b203a (base 12) in base 7? 4040446 What is -1b1a5 (base 14) in base 9? -114511 -110010111001111110 (base 2) to base 6 -4245154 6432434 (base 8) to base 15 23dd72 What is 892101 (base 11) in base 12? 587581 What is 13384 (base 12) in base 6? 322244 -10180207 (base 9) to base 4 -102222333103 Convert -15210511 (base 6) to base 9. -887327 -68a056 (base 16) to base 7 -112165433 What is -5311540 (base 7) in base 12? -26b417 -10bba8 (base 12) to base 9 -450672 Convert -225110312 (base 6) to base 8. -17700044 Convert -34ab (base 15) to base 5. -324221 10444322 (base 6) to base 2 1001101011100011010 What is -478ba (base 13) in base 7? -1054204 What is 1779341 (base 10) in base 4? 12302122031 Convert -55222 (base 13) to base 7. -1211302 -2336895 (base 10) to base 13 -63a8a2 -5c58c4 (base 13) to base 10 -2211694 What is -7aeeb0 (base 15) in base 10? -5872440 What is -14412121 (base 5) in base 10? -154036 What is 11875886 (base 9) in base 7? 100420533 231030013 (base 4) to base 15 39c9a Convert 13300111203 (base 4) to base 5. 1010023440 -1222431 (base 5) to base 9 -35201 1011110001101100 (base 2) to base 3 2110011112 -95167 (base 12) to base 5 -22223422 What is -613c (base 14) in base 12? -980a What is -4024604 (base 10) in base 15? -54771e -10011001110101011 (base 2) to base 12 -396b7 What is 2319fa (base 16) in base 12? 92b30a Convert -18117546 (base 9) to base 7. -140253051 Convert -11222100 (base 4) to base 14. -8640 1000100112102 (base 3) to base 16 83717 What is -7c67 (base 15) in base 10? -26422 Convert -101609 (base 11) to base 13. -59326 Convert -1c81c (base 13) to base 11. -39334 20112220232 (base 4) to base 13 5b89a7 21523622 (base 7) to base 5 433324121 100110001011001110 (base 2) to base 13 56232 Convert 1100012000200 (base 3) to base 11. 447141 Convert -12022020222 (base 3) to base 8. -313763 ba22 (base 12) to base 2 100111111111010 What is 394d8 (base 14) in base 7? 1124561 -498486 (base 15) to base 9 -6556100 -197a310 (base 12) to base 16 -52383c Convert -11370 (base 9) to base 4. -1312230 Convert 102300333023 (base 4) to base 9. 10226835 What is 356448 (base 10) in base 12? 152340 -238239 (base 10) to base 9 -402720 Convert -31020311333 (base 4) to base 16. -348d7f -1211122120 (base 3) to base 6 -435323 What is -110100100101110000 (base 2) in base 12? -a47a8 Convert e90c7 (base 16) to base 5. 221021232 -420b (base 14) to base 4 -2301303 -4706704 (base 9) to base 7 -30424030 Convert 19b66 (base 15) to base 10. 83571 What is 4b9991 (base 12) in base 6? 42330301 Convert 10202012011020 (base 3) to base 13. 54975c What is 110101001100000111100 (base 2) in base 12? 700764 Convert -21d561 (base 16) to base 8. -10352541 143223 (base 10) to base 3 21021110120 Convert -220343 (base 8) to base 6. -1330215 Convert 2180748 (base 9) to base 12. 487bb2 What is 2556cb7 (base 13) in base 10? 11668248 What is -845040 (base 9) in base 14? -d10bb What is -333774 (base 9) in base 2? -110000101111100011 What is -32128 (base 11) in base 3? -2101002222 -51499 (base 11) to base 15 -173d8 What is -112302223 (base 4) in base 11? -64159 What is 31368 (base 13) in base 15? 1b333 Convert -1322300120 (base 5) to base 9. -6222721 385248 (base 10) to base 14 a057a -1114107 (base 10) to base 12 -4588a3 Convert 29654d (base 14) to base 10. 1438905 -3441120 (base 5) to base 16 -f253 Convert 51803 (base 11) to base 12. 37843 What is 166535 (base 11) in base 13? 902a9 Convert -14531668 (base 9) to base 10. -7224938 31bab (base 12) to base 5 4100101 What is -2050522 (base 6) in base 8? -303222 110221021200 (base 3) to base 10 254628 Convert -47ad3 (base 15) to base 7. -1641252 What is 20011111020 (base 3) in base 15? 25e66 454103 (base 6) to base 15 b60c What is -224649 (base 11) in base 4? -1113101233 What is 5498b (base 12) in base 14? 2cb59 What is -3629451 (base 13) in base 6? -1355440050 What is -5404452 (base 6) in base 2? -1000000110011010000 -13341121 (base 5) to base 15 -2a90b What is 3033422130 (base 5) in base 13? 137651a What is -1224430 (base 7) in base 13? -569b3 Convert 3713290 (base 10) to base 15. 4d537a What is 563b40 (base 14) in base 7? 33622310 What is -42505331 (base 8) in base 11? -5141633 Convert 1222010002121 (
{ "pile_set_name": "DM Mathematics" }
y + 28 Find the second derivative of -2642989*p**4 + 2*p**2 + 3985896*p wrt p. -31715868*p**2 + 4 Find the second derivative of -275874*u**3 + 644110*u wrt u. -1655244*u What is the third derivative of -98464*s**6 + 149*s**2 + 127? -11815680*s**3 Find the second derivative of 7589*b**3*j - 4*b**2 - 2958*b*j + 18*b + 2*j wrt b. 45534*b*j - 8 What is the derivative of 24*g**4 + 620*g**2 - 3*g - 204381 wrt g? 96*g**3 + 1240*g - 3 What is the derivative of -19940*k*s - 1096933*k + 21*s wrt s? -19940*k + 21 What is the first derivative of -375920*c*u + 13371*u - 1 wrt c? -375920*u What is the first derivative of -245*m**2 - 73*m - 60295? -490*m - 73 What is the derivative of -536761*s**3 - s**2 + 3161619? -1610283*s**2 - 2*s What is the second derivative of -1998608*b**4 + 2274155*b wrt b? -23983296*b**2 What is the second derivative of 599*h**2*u**2 + 580*h**2*u - 2*h**2 - h*u - u**3 wrt u? 1198*h**2 - 6*u Differentiate -3*h*k**2 + 108*h*k - 2*h - k**2 - 3972*k wrt h. -3*k**2 + 108*k - 2 What is the second derivative of -47025*p**4 - 13662*p + 4? -564300*p**2 What is the third derivative of -9693*l**4 + 25*l**3 + 1419144*l**2 wrt l? -232632*l + 150 Find the second derivative of -4*b**2*l**2*s - 164*b**2*l**2 + b**2*s + 177*b**2 + 5*b*l*s - 8*l*s wrt l. -8*b**2*s - 328*b**2 Differentiate -54234*d*l**3 - 2*l**3 + 21*l + 17 with respect to d. -54234*l**3 Find the third derivative of 23621*l**3*w*x**3 - 2865*l**3 - 2*w + 3*x**2 wrt x. 141726*l**3*w Find the first derivative of -44*r**2*z + 772*r**2 - 2*r + 2*z - 2602 wrt r. -88*r*z + 1544*r - 2 Find the third derivative of -287448*k**5 + 2*k**4 + 13*k**2 - 293*k - 3. -17246880*k**2 + 48*k Find the third derivative of 48183*p**3 + 4*p**2 - p - 127. 289098 What is the third derivative of 620*m**5 + 16*m**4 - m**3 - 8052*m**2 - m? 37200*m**2 + 384*m - 6 Differentiate -190816*x**2 + 9160 with respect to x. -381632*x Differentiate 34713*b**3*y + 35*b*d + 2*d*y + 7*d + 5*y + 2224 with respect to b. 104139*b**2*y + 35*d Find the second derivative of -f**2*l*n - 2*f**2*l - 7*f**2*n - 3*f**2 - 215*f*l*n + 3*f*n - 2*l*n - l - 3*n wrt f. -2*l*n - 4*l - 14*n - 6 Find the second derivative of 2*b*d**5 - 5*b*d**3 + 58272*b*d - d**3 - 176*d**2 wrt d. 40*b*d**3 - 30*b*d - 6*d - 352 What is the second derivative of -103594*b**2 - 11498*b wrt b? -207188 Differentiate 4*i**3*m*x + 11*i**3*x - 2*i**3 - 8*i**2*m*x + 687*i**2*x + i*x - 667*m + x wrt m. 4*i**3*x - 8*i**2*x - 667 Find the third derivative of -x**5 - 12525*x**3 + 89887*x**2 - 2*x wrt x. -60*x**2 - 75150 Find the second derivative of 223*k*n**3*t**2 + 4*k*n*t**2 - 2*k*t**2 - 4420*k*t - 533*n**3*t - n*t**2 wrt t. 446*k*n**3 + 8*k*n - 4*k - 2*n What is the first derivative of 49353*j*n**4 - 77008*j wrt n? 197412*j*n**3 Find the third derivative of 14882*o**3 - 15862*o**2 + 1 wrt o. 89292 Find the second derivative of -290*f**2*t**2 - 96*f**2*t + 2*f**2 - f*t**2 + f - t**2 - 6498 wrt f. -580*t**2 - 192*t + 4 Find the first derivative of -20*k**4 + 5*k**2 - 53*k + 70821 wrt k. -80*k**3 + 10*k - 53 Differentiate -8*i**2*l**3 - 774*i**2*l**2 - 44471*l**3 with respect to i. -16*i*l**3 - 1548*i*l**2 What is the second derivative of 5387*p**2*w**2*z**2 - 35*p**2*w + 4*p*w**2*z + 2*p*w*z**2 - 5*p*w*z - p*z**2 - 61*w*z - w wrt p? 10774*w**2*z**2 - 70*w Differentiate 61597*k + 11545. 61597 What is the third derivative of 14092*b**5 + 4*b**2 + 375*b - 4? 845520*b**2 Find the third derivative of k**4 - 48182*k**3 - 3*k**2 - 408*k + 12 wrt k. 24*k - 289092 What is the second derivative of 7008*b**2*g**2*w**2 + b**2*g*w + 659*b**2*w**3 - 8*b*g**2*w**3 - b*g*w**3 + 17*b*g*w wrt g? 14016*b**2*w**2 - 16*b*w**3 What is the third derivative of 20705*s**3 - 34*s**2 + 394*s? 124230 Find the third derivative of -2143087*f**3 + 6*f**2 - 15814*f + 1. -12858522 What is the derivative of -267*h*m**3*t - 2*h*t + 3*m**3 + 4*m*t - 4312*t wrt m? -801*h*m**2*t + 9*m**2 + 4*t Find the second derivative of -2831547*n**3 - 1807095*n. -16989282*n What is the third derivative of -1538787*a**3 - 2*a**2 - 2*a - 732889 wrt a? -9232722 Differentiate -118*j**3 - 937*j - 1702805 wrt j. -354*j**2 - 937 Find the third derivative of -49045*i*p**5 + 2*i*p**2 - 12994*i + p**6 wrt p. -2942700*i*p**2 + 120*p**3 Find the second derivative of 15036*t**5 - 9*t**4 - 16*t + 6136 wrt t. 300720*t**3 - 108*t**2 What is the second derivative of 42261*l**2 - 17*l - 87 wrt l? 84522 Differentiate -2*z**4 - 700279*z**3 + 1477701 wrt z. -8*z**3 - 2100837*z**2 Differentiate 15*l**2*o - 17327*l**2 + 241770*o - 51 wrt o. 15*l**2 + 241770 Differentiate -7*p**3*y*z - 4*p**3*y + 82*p**3 - 101*p**2*y*z - 2*p**2*y + 9*y wrt z. -7*p**3*y - 101*p**2*y What is the third derivative of 286061*w**3 - 1939*w**2 - w - 98 wrt w? 1716366 What is the first derivative of 2*o**3*w**2 - 5*o**3 + 5*o*w**2 + 6983*w**2 + 4741 wrt w? 4*o**3*w + 10*o*w + 13966*w What is the derivative of 316005*j*o - 5848*o + 2 wrt j? 316005*o What is the third derivative of 607730*r**4 + r**3 - 80*r**2 + 192*r wrt r? 14585520*r + 6 Find the third derivative of -1661195*g**2*l**3*o**3 - g**2*l**2*o + 3*g**2*o**2 - 1017*g*l**2*o**3 - 25*g*l*o**3 + l**2*o**3 wrt l. -9967170*g**2*o**3 What is the third derivative of -4833072*y**4 + 3805179*y**2 wrt y? -115993728*y Find the third derivative of 1456600*c**2*t**3 + 19*c**2*t**2 + 261*c**2*t + 2*c**2 + t**2 + 1 wrt t. 8739600*c**2 Differentiate 19719*f**3 - 101885. 59157*f**2 Differentiate l*t**2 + l*t - 1666*l - 2019*t**3 - 6*t**2 + 33 wrt t. 2*l*t + l - 6057*t**2 - 12*t Find the first derivative of -103154*r*u - 14124*r + u**3 + 3 wrt u. -103154*r + 3*u**2 Find the first derivative of 19*j**2 - 18707*j + 1852757. 38*j - 18707 Find the third derivative of -4318*i*u**3 - 567*i*u**2 + 543*i - 21*u**3 wrt u. -25908*i - 126 Find the first derivative of -2678149*y**3 - 2975556 wrt y. -8034447*y**2 Find the second derivative of 612*c**3*r**5 - 12*c**3 - 2*c**2*r + 18*c - 371*r**5 + 15*r wrt r. 12240*c**3*r**3 - 7420*r**3 What is the second derivative of -89996*u**5 + 43705*u wrt u? -1799920*u**3 What is the second derivative of 3*l**2*s**2 - 4*l**2*s - 4420*l*s**4 - 2*l*s**3 + 2540*l*s wrt s? 6*l**2 - 53040*l*s**2 - 12*l*s Find the first derivative of -9545*b**3 + b**2 - 3*b + 449913 wrt b. -28635*b**2 + 2*b - 3 Find the first derivative of -q**3*x - 3*q**3 - 3*q*x**4 + 2*q*x + 31*q - 69*x + 44 wrt x. -q**3 - 12*q*x**3 + 2*q - 69 What is the third derivative of 2012*w**4 - 437*w**3 - 919463*w**2 wrt w? 48288*w - 2622 What is the third derivative of -93767*r**6 + 69*r**2 - 28*r + 18 wrt r? -11252040*r**3 Find the second derivative of -41550*s**3 + 62731*s. -249300*s What is the derivative of 1018*f*i**3 - 5*f*i*j**2 - 3*i**3 - 2374*j**2 wrt f? 1018*i**3 - 5*i*j**2 What is the derivative of 5*b**2*f*x + 20*b**2*f + 8903*b**2*x - 2*b*f**2 + 8*b*f - f**2*x - 2*f**2 + 34 wrt x? 5*b**2*f + 8903*b**2 - f**2 What is the third derivative of 394160*n**5 - n**2 - 298*n - 989? 23649600*n**2 What is the third derivative of -3*d**3*k*s**3 + 216*d**3*k + 5*d**3 - 9*d**2*k*s**3 - 214*d**2*k*s**2 + 2*s**3 wrt d? -18*k*s**3 + 1296*k + 30 What is the third derivative of 1427*l**6 - 48*l**5 - 4*l**4 - 459569*l**2 - 2? 171240*l**3 - 2880*l**2 - 96*l What is the second derivative of 3*c**2*t**3 - c**2*t**2 + 904*c**2 + c*t**3 + 11082*c*t**2 + 2*t**3 + 1 wrt c? 6*t**3 - 2*t**2 + 1808 Differentiate 41*n**3 - 432*n**2 + 73206 with respect to n. 123*n**2 - 864*n What is the third derivative of 1057*c*g**4 + 6*c*g**3 - 2929*c - g**4 + 3*g**3 - 9*g**2 wrt g? 25368*c*g + 36*c - 24*g + 18 What is the second derivative of 111624*d*i**3 - d*i**2 - 14*d*i - 6*d + 3*i**2 + 71*i - 2 wrt i? 669744*d*i - 2*d + 6 What is the second derivative of -412*h**2*y**3 - 10*h**2*y + 3*h*y**3 - 2*h*y - 4018*h wrt h? -824*y**3 - 20*y What is the third derivative of -1965*d*l**3*r - 3*d*l**3 + 2*d*l**2 - 16*d*l*r + 716*d*r - 2*l**3*r + l**3 - l**2 wrt l? -11790*d*r - 18*d - 12*r + 6 Find the second derivative of n**4 - 26850*n**3 + 2*n**2 - 35440*n wrt n. 12*n**2 - 161100*n + 4 What is the third derivative of 68*r**3 - 27994*r**2? 408 Differentiate 1138114*s**3 + 594289 with respect to s. 3414342*s**2 Find the second derivative of 71324*s**3 + 9*s + 3800 wrt s. 427944*s Di
{ "pile_set_name": "DM Mathematics" }
-2). Suppose -29*r + 23*r = 168. Let g = r + v. List the prime factors of g. 2, 11 Let d = -5 - -7. Suppose 0 = d*j + 5 + 3. What are the prime factors of (2/j)/(6/(-636))? 53 Let z be 395/35 + (-2)/7. Suppose -3*d - 5 = -h - 2*d, 0 = 2*h - d - z. Suppose h*n - n - 50 = 0. What are the prime factors of n? 2, 5 Let r = -13 - -26. Suppose 5*h - r = 12. Let q = h - -15. List the prime factors of q. 2, 5 Let c(n) = n**3 + 7*n**2 + 8*n - 6. Let f be c(-6). Let b = -14 - f. Suppose -b*p - d = -21, p - 4*d = -1 + 2. List the prime factors of p. 5 Let y(i) = -2*i**2 - 3*i + 3. Let o be y(2). Let p = o - -15. Suppose -p*s - s = -90. List the prime factors of s. 2, 3 Suppose 5*m + 7585 = 3*j, 0 = 71*j - 74*j - 2*m + 7613. What are the prime factors of j? 3, 5, 13 Suppose h + 2*h - 5*f - 8015 = 0, 0 = 5*h + 5*f - 13385. What are the prime factors of h? 5, 107 Suppose -4*v = -16, f + 12 = -5*v + 3*v. Let g be (-6)/(-10) + 652/f. Let x = 55 + g. List the prime factors of x. 23 Suppose -s - 3*w = 4*s - 141, -4*s + 98 = -5*w. Suppose -3*i = s - 144. Let x = i - 24. What are the prime factors of x? 3, 5 Suppose -518*p = -507*p - 16830. What are the prime factors of p? 2, 3, 5, 17 Let t(z) = 4*z**3 + 9*z**2 + 12*z + 11. Let s(g) = g**3 + g**2 + 1. Let q(h) = 3*s(h) - t(h). List the prime factors of q(-5). 3 Let w be (6/(-3) - -5) + 1. Let k(s) = s**3 + s**2 + 3*s - 6. Let z be k(w). Suppose -4*q = 14 - z. List the prime factors of q. 2, 3 Suppose -2*n + 27 = -21. What are the prime factors of (8/n)/(1/6)? 2 Suppose -q - 2*s - 14 = -2*q, 0 = -3*q + 3*s + 36. Suppose -4*t + 130 = -3*g + 5*g, -2*g + 106 = -2*t. Let z = g - q. List the prime factors of z. 47 List the prime factors of (-6)/15*(-1303 + -7). 2, 131 Let f = -46 - -46. List the prime factors of (69/21 - f) + 10/(-35). 3 Let d = -17 - -35. What are the prime factors of d/12 - (-310)/4? 79 Suppose 13*l - 24 = 15. Suppose -2*b = c - 123, 312 = l*b + 2*b - 2*c. List the prime factors of b. 2, 31 Let m = 5 - 6. Let l be 15 - 11 - (m - 0). Suppose 4*a - 56 = -4*c, 7 = l*a - 3. What are the prime factors of c? 2, 3 Let o(r) = 274*r**2 - 26*r - 20. What are the prime factors of o(-3)? 2, 631 Let v be (1 - 2 - 0)*74/(-2). Suppose 4*l - v = 187. List the prime factors of l. 2, 7 Let c = 339 - 98. Let t = -133 + c. What are the prime factors of t? 2, 3 Let d(h) = 3*h + 3. Let u be d(5). Let n = -14 + u. Suppose -2*j - 4*f = -0*j - 68, -3*j - n*f = -100. What are the prime factors of j? 2 Let k(t) be the third derivative of -t**6/30 - t**3/3 + 2*t**2. Let x be 3*-2*(-6)/(-18). What are the prime factors of k(x)? 2, 3, 5 List the prime factors of (-2)/10 + 6738/15. 449 Suppose -4*z - v = -2607, 0*z + 2*v = 2*z - 1296. List the prime factors of z. 3, 7, 31 Let m = -85 - -141. Let l = -15 + m. List the prime factors of l. 41 Let h(g) = -2*g**2 - 3*g - 25. Let k(i) = -i**2 - i - 12. Let y(t) = 2*h(t) - 5*k(t). Let m be y(4). Let j = 45 - m. List the prime factors of j. 23 Let t(j) = -j**2 + 20*j + 48. Let l be t(22). Let k(f) = 33*f - 8. List the prime factors of k(l). 2, 31 What are the prime factors of 4440/10 + -1 + 4? 3, 149 Let p(q) = 2*q**2 - 49 + 27 - 2*q + 183. What are the prime factors of p(0)? 7, 23 Let l = 601 + -1184. Let z be (l/22)/((-2)/(-8)). Let o = -46 - z. List the prime factors of o. 2, 3, 5 Suppose -20 + 4 = -k. List the prime factors of (3/(-6))/(2/k) + 203. 199 Let u(l) = -l**3 + 10*l**2 + 10*l + 15. Let p be u(11). Let a be p/(-10) - 18/5. Let j = 9 + a. List the prime factors of j. 5 Suppose -2*b + 4 = -2. Let g be 151*b*1/3. Suppose 21 = -5*v + g. What are the prime factors of v? 2, 13 Suppose -5*d + 5*k = -40, -5*d + 4*k + 45 = -0*k. Let o be d/(-39) - 298/6. Let l = -28 - o. What are the prime factors of l? 2, 11 Let d = -62 - -66. Let n(w) = -2*w + 3 - w + 4*w - 1. What are the prime factors of n(d)? 2, 3 Let b(p) = 29*p + 4. Let t be b(-10). Let a = t + 477. What are the prime factors of a? 191 What are the prime factors of 4794/22 + 6/66? 2, 109 Let n be 2/4 - 9/18. Suppose 164 = -n*h + 4*h. What are the prime factors of h? 41 Let p = -228 + 1493. List the prime factors of p. 5, 11, 23 Let j(y) = y + 9. Let l be j(1). What are the prime factors of 3176/l + 20/50? 2, 3, 53 Let y = -9 + 14. Suppose 2*h + 3 = -y. Let o = h + 7. What are the prime factors of o? 3 Suppose -35*o + 124180 = 1190. What are the prime factors of o? 2, 7, 251 Let c(s) = 13*s**2 - 28*s + 126. What are the prime factors of c(5)? 311 Let w = 5 + -4. Suppose 2*d = -3*d + k - w, -2*d + 4*k + 14 = 0. List the prime factors of (1 - (d - -3))*-21. 3, 7 Let p(s) = 41*s - 23. Let g be p(3). Let m(a) = -a**3 - 3*a**2 + 8*a + 6. Let r be m(-6). Let y = g - r. List the prime factors of y. 2, 17 Let k = 53 - 38. Suppose -11*r - 92 = -k*r. What are the prime factors of r? 23 Let k = -131 - -198. List the prime factors of -8 + 4 - (-1 - k). 2 Suppose 3*t + 2 - 5 = 0. Let o(x) = -x**3 + 2*x - 1. Let u be o(t). Let s = 10 + u. List the prime factors of s. 2, 5 List the prime factors of (-5050 - -2)/4*-2. 2, 631 Let s = -1170 + 1884. What are the prime factors of s? 2, 3, 7, 17 Let s = -6 - -9. Let x be 6/s - 8/1. Let o(p) = -p**2 - 8*p - 6. What are the prime factors of o(x)? 2, 3 Suppose -v - 4 = v, -4*v - 8 = 2*s. List the prime factors of (s - -1)*3 - -52. 5, 11 Suppose -2*r = -4*l - 7824, -4*r - 36*l + 31*l + 15687 = 0. List the prime factors of r. 2, 3, 653 Suppose -8 = -2*y - 2*y. Suppose 3 = y*h - 7, h = 4*t - 11. Suppose -2*m - 95 = -5*g, -38 = -t*g - 4*m + 66. List the prime factors of g. 3, 7 List the prime factors of (-5)/((-2802)/350 + 8). 5, 7 Let z(p) = -p**3 - 17*p**2 - 3*p - 5. Let y be z(-17). Let g = y - -37. What are the prime factors of g? 83 Let u(a) = -a**2 - 25*a - 6. Let t be u(-15). Let d = t - 52. What are the prime factors of d? 2, 23 Let o = -8 + 8. What are the prime factors of -23 + 57 - (4 + o)? 2, 3, 5 Let w(p) = -p**3 - 3*p**2 - 6*p - 5. Let h be w(-3). Let n = 8 + 57. List the prime factors of 2545/n + (-2)/h. 3, 13 Let o(i) = 22*i**2 + 8*i - 15. What are the prime factors of o(-6)? 3 Suppose 2 = 5*l - 5*g - 23, 5 = -g. Suppose l = -3*w - 0*w + 6. Suppose w*p = 4 + 82. List the prime factors of p. 43 Let r be (0 - -3)*-2*4/8. List the prime factors of (-442)/r*-1*33/(-22). 13, 17 Let n be ((-1)/(-3))/((-1)/(-123)). Suppose -40*o - 35 = -n*o. What are the prime factors of o? 5, 7 Suppose 4*o - 5*z + 0*z + 3 = 0, -o + 4*z = 9. Suppose -5*j - 139 = -4*x, 5*x - o*j - 69 = 3*x. What are the prime factors of x? 2, 3 Suppose 0 = -117*b + 108*b + 8964. What are the prime factors of b? 2, 3, 83 Let l(c) = 2*c**2 - 32*c + 60. List the prime factors of l(14). 2 Let u = -88 - -870. List the prime factors of u. 2, 17, 23 Let p = -9 + 29. Suppose 0 = j - 0*j - p. Suppose -l - j = -3*l. List the prime factors of l. 2, 5 Suppose 4620 + 2200 = 4*w + 3*c, 4*w = -4*c + 6820. List the prime factors of w. 5, 11, 31 Let k be (-70)/(-6) + 2/(-3). Let m be (-58)/4 + k/(-22). What are the prime factors of 5/(-1 + (-18)/m)? 5 Suppose -3*z + 12*z = 18. Suppose n = -4*l + 4*n + 632, -z*n = -4*l + 632. List the prime factors of l. 2, 79 Let t(p) = -p**3 - 11*p**2 - p - 8. Let r be t(-11). Let a = -13 + r. Let d = -7 - a. List the prime factors of d. 3 Let a be (6 - 3)/(-4 - -5). Let x = a - -15. What are the prime factors of x? 2, 3 Let t(b) = 23*b + 164. List the prime factors of t(9). 7, 53 Let o(s) = -s**3 + s**2 + 2*s - 1. Let v be o(-2). Suppose -3*n = -v - 2. Suppose -f = n*f - 76. List the prime factors of f. 19 Suppose -2*k = -5*m, -5*k - 20 = 5. Let y(o) = -29*o**3 + 3*o**2 + 2*o - 2. List the prime factors of y(m). 2, 7, 17 Let f(p) = 2*p**3 + 62*p**2 + 73*p + 62. List the prime factors of f(-29). 7, 11, 17 Let z be 8/(-36) + 141/27. Suppose -5*l - 4*s = -82, 5*s = l + 2*s - z. What are the prime factors of l? 2, 7 Let a be ((-10)/8)/(1*(-2)/8). Suppose 4*c + u = 884, a*u = c - 0*c - 242. List the prime factors of c. 2, 3, 37 Let w(c) = -82*c**3 + 5*c**2 + 8*c + 9. What are the prime factors of w(-3)? 2, 3, 11, 17 Let q(r) = r**3 + 6*r**2 + 5. Let t be q(-6). Let n = 106 + -57. Suppose -89 = -4*m - t*f, 4*m - 4*f + f - n = 0. What are the prime factors of m? 2 Let u(j) = 2*j**2 - 8*j + 7. Suppose -5*r = m + 25,
{ "pile_set_name": "DM Mathematics" }
/3) -14/11 Calculate (115 + 93644/(-820))/((-4)/210). -42 Calculate ((-28792)/(-183) - 153) + (-346)/84. 3/14 Evaluate (-100)/3 - (-13482)/5778. -31 What is ((-2)/28 - 429/1386) + 2/21? -2/7 (141/(-144) - (-42)/63)*2*(-13)/65 1/8 What is the value of (1728/1008)/((-9)/567) - -27? -81 Evaluate (-1 - -5)/((-31146)/(-609) - 54). -7/5 Evaluate -9*1*(5885/(-495) + 10). 17 Calculate 122/793 - 90/(-78)*(-254)/(-6). 49 (16/(-18))/((-7290852)/(-85887)) -2/191 What is ((-2)/4)/(-1)*((-207872)/1408)/203? -4/11 What is the value of 100/(-3) - 1194540/(-41670)? -14/3 Evaluate (-7 + 2043/288)*-468 - 1*3/24. -44 What is 367/1468 + (-171)/636? -1/53 Evaluate 621 + -634 + (1 - 5217/(-579)) + 3. 2/193 (37/((-259)/(-33)))/((-1)/7) -33 -2 - -8 - (-34 + (-9680)/(-280)) 38/7 What is 932/(-106015)*(-455)/26? 2/13 -138 - (-5)/5 - 12/(-18)*(-24)/(-16) -136 What is the value of (-10 - (-272)/27)/(1152/864)? 1/18 Calculate (4/(-10) + 12/(-20))/(-128 + (90 - -43)). -1/5 What is the value of ((-840)/(-3936) - 1 - (-12)/16)/(-3)? 1/82 What is ((-1)/8 - (-170)/(-80))*(-3416)/(-366)? -21 What is the value of 22490/(-455) + 48 + (-60)/(-91)? -10/13 Calculate 136/21692*(-4)/12*11. -2/87 What is the value of (22 + -65 + 41)*(-1)/(-42)? -1/21 21840/6240 - 3/(-4)*(22 + 0) 20 What is (2072/12432 + 0/(-1 + 0))/(155/15)? 1/62 What is (-1104)/60 - ((-560)/25)/(-14)? -20 What is the value of 594560/(-12077) + -6 + (-324)/(-52)? -49 (8954/(-74))/(-242)*-298 -149 What is the value of (284174/(-503763))/((-11)/24)? 16/13 Calculate (15/(-18)*2 - 1)*(-15 + (-405)/(-18)). -20 Calculate (120/(-300))/(80*(-16)/32). 1/100 What is the value of 33176/140 + -237 - (-729)/(-210)? -7/2 What is -24*477/(-1728)*-8? -53 What is the value of 192/(-2688)*480*(-28)/(-10)? -96 What is 2430/(-135) + 58/(-203) + (-1606)/14? -133 Calculate ((-3)/2 - -2) + (1328691/(-314))/(-93). 46 Evaluate (67 - (-15425)/(-225))/(-1 - (-6)/(-36)). 4/3 Calculate (-5810)/530 + (-1088)/28832. -11 What is ((-550)/100 - -18) + (-3)/24*-4? 13 What is the value of (420/(-55))/(80/(-440))? 42 Calculate -45 + -21 - -5 - (2/(-3) - 42/(-9)). -65 Evaluate (2/(-4))/(149 + 133840/(-896) + 107/296). 37 What is ((550/80)/5 - (-6)/(-16))*680/20? 34 Evaluate (4*(-14)/168)/((-18)/2214). 41 Calculate (-83 + (-20300)/(-245) - (-137)/(-21))/(-4). 5/3 What is 11/(-8)*-14 - 2021/(-8084)? 39/2 What is the value of 1927 - 1962 - 47*-1? 12 What is -9 - 1/(4*21/(-1344))? 7 48235/495 + -86 + (-9 - 0) 22/9 Evaluate (3280/(-2952))/((-5)/132) + -11 + (-182)/(-21). 27 Calculate -191 + 153 + 1488/112 + (-2)/7. -25 What is the value of (22/198)/(3 - (-1368)/(-459))? 17/3 Calculate (7074/1572)/(((-45)/(-2))/(-3)). -3/5 What is (3348/378 - 27 - -13)/((-34)/28 - -1)? 24 Evaluate 24/(-104)*(-484848)/(-1512). -74 Calculate 40188/(-4728) - 1*(-37)/3. 23/6 What is the value of ((34 - (-3180)/(-90))/(6 - -406))/(2/(-12))? 2/103 (228/(-32))/((-3048)/(-128) + -24) 38 Evaluate (-2100)/80*(-7 + (-29)/(-3)) - (-19 - -22). -73 What is the value of (-22224)/(-30558) - 126/143? -2/13 What is the value of 32/288 - 1736/6552? -2/13 What is the value of ((12 + -37 + 13)/(-12))/(70/(-50))? -5/7 Calculate (0 - (-36)/(-1080)*40)/((-4)/(-42)). -14 ((816/1680)/(-17))/(31/7 - 3) -1/50 Calculate (-3*2/4)/(296303/126987). -9/14 Evaluate (-1239)/6*390/(-1365) + (-336)/16. 38 1 + ((-14)/12)/(5390/2940) - (-158)/(-11) -14 What is (((-125)/(-30))/(-5))/(20 - 3060/156)? -13/6 What is ((-133)/42 - (-3 - 0)) + (-57)/((-84474)/(-3173))? -30/13 (6615/126 + -52)/(1/(-1 + 179)) 89 Calculate 26/(-28) + 80 + 88243/(-1106). -5/7 What is the value of 8100/175680 + 12/732? 1/16 2/5 - (84564/13770)/18 1/17 Calculate 16830/((-14688)/144) + 219. 54 Calculate 65/(32110/76)*((-195)/132)/(-5). 1/22 Calculate (-21)/(756/240)*((-54)/108)/((-4)/42). -35 Evaluate (30/(-50))/((-18)/(-20)) - (-244)/(-12). -21 Calculate (3 - 1)/((-26 - 546/(-14))/(5 + 0)). 10/13 What is the value of (-166 - -182)*(-4)/60*(-72)/48? 8/5 What is ((-60)/(-75))/((366/2684)/(6/16))? 11/5 What is 992/(-48)*1 - (-31 - 9)? 58/3 Evaluate 14/(-2)*(304668/294)/93. -78 31/(((-1575)/42 - -35)/(-1*(-1 - 4))) -62 Calculate 1419/22*2*(-9)/(-27). 43 What is (-43)/(-1161)*-18*(-522)/(-48)? -29/4 What is the value of -21*(2*(-5 + 203/49))/((-2)/4)? -72 Calculate 2193/(-119) - -9 - -10 - 9/77. 5/11 What is the value of (8 - 96)*((-492)/(-1722))/(8/14)? -44 (-645)/12*(-28)/(-280)*-8 43 Calculate (-30)/((-144738)/(-1938) - 75). 95 Evaluate -550 - -542 - 21/(-4). -11/4 Calculate (-1 + 8/6)*(-361836)/(-20102). 6 What is the value of 4 + (-85)/17 + 30 - 32? -3 5/(-3) + 600/225 + -4 + -12 -15 What is (-1654)/(-30) + ((-18)/(-5) - (-22344)/(-5985))? 55 90/48*((-462)/(-55))/21 3/4 What is the value of (-16)/(-192) + (-1465)/(-60)? 49/2 (-2720)/(-68) - ((-16952)/(-390) - 4) 8/15 What is the value of ((-2)/(-7) - (4432/224 + 8 - 28))/(-20)? -1/40 What is the value of (123/(-255) - (504/60)/(-14)) + 1772/(-34)? -52 What is the value of 36/96*(-155 - -127)? -21/2 Evaluate (1939/3324)/(21/(-6)). -1/6 What is the value of (149355/1845 - 81)/(2/(-4))? 4/41 ((-804)/2546 - (-3 - 1749/(-779)))*3/9 6/41 Calculate ((-5755)/13812)/(35/(-182)). 13/6 Evaluate -19 - (26 + -25) - (182/(-10) + -2). 1/5 ((-3507)/(-2004))/(14/368) 46 What is the value of -58 + 162/(-126)*-14? -40 What is the value of (0 - 0)/(-14) - ((-22)/(-8))/((-18)/216)? 33 Evaluate (2/(-5) + (-24)/15)*790/(-1580) - 74. -73 What is the value of (24 - (-2020)/(-84)) + (-24)/360? -4/35 Calculate (9/(8 + 10/(-20)))/(6/140). 28 Evaluate ((-2673)/(-2835) + 1)*-5. -68/7 Calculate (1 - 2408/(-12))*12645/21075. 121 What is 1*12/16*(-74)/111*(19 - 1)? -9 What is the value of (36/(-4*(-14)/(-20)))/(1656/(-5796))? 45 Evaluate (4/10)/(2070/(-115) - (-267)/15). -2 (-20482)/(-931)*(5 - 345/70) 11/7 What is 36 + -86 + 39 - (20/(-25))/(2/(-15))? -17 -2 + (-51)/6 + (8 - 7) -19/2 Calculate ((-90)/(-20))/(12/10)*954/(-1431). -5/2 Calculate (5/3 + (10530/60)/(-117))*0/(-1). 0 What is the value of (-100128)/17136 + 1*20/3? 14/17 (-7704)/25680*25/(-2) 15/4 What is ((-30224)/128 - -127) + 111? 15/8 (21/(-6) + (-1)/(-2))*(-28)/224*136 51 Evaluate 3872847/34958 - (109 - -2). -3/14 What is the value of (((-108)/16)/((-28)/224))/(12/(-8))? -36 Evaluate 1080/2880 + 249/(-24). -10 (-20)/(-8)*(888/5365)/(-6) -2/29 Evaluate (0 - -155)*(6/(-75))/(22*(-46)/1265). 31/2 Evaluate 40*(-69)/(-13984)*-268 - ((-59)/(-19) + -3). -53 Evaluate (((-60)/56)/((-30)/805))/((-945)/(-126)). 23/6 What is (22/3 - 4)*(-3084)/56540? -2/11 What is 27 - (-469)/(-28) - (-25)/(-20)? 9 What is the value of 67 - (-60)/46110*-51533? -3/53 Calculate 16/236*(-23)/(-1840)*40. 2/59 Calculate (450/15 - 1435/41) + 74/(-4)*-2. 32 What is the value of 10/(-100)*-485 + (-12)/8? 47 Evaluate (-8 - 13) + 59/(16107/5859). 6/13 (-41160)/(-15435)*(-1 + (-1)/(-4)) -2 What is the value of -42 - -55*23966/31372? 1/62 What is the value of 2201*(-154)/(-10934) - 658/22? 12/11 Evaluate (-618)/30 - -66*(-147)/(-1078). -58/5 Evaluate (-153700)/23055*(-3)/(-25). -4/5 ((-3)/90)/((-27406)/11580) 1/71 What is the value of (-32)/23*14874/(-4824) - (-1)/23? 13/3 What is 14/42*6 - ((-1680)/(-72))/(2/3)? -33 What is (-30)/3*(6 - (-75)/(-10))/(273/(-1547))? -85 What is the value of (318/16748)/(12/32*2)? 2/79 What is 10/150*(-24780)/2596? -7/11 What is 320/8*(125/200)/((-5)/(-6))? 30 Evaluate -3 + (-222)/1258 + 643/(-17) + 2. -39 What is the value of ((-7)/(-2))/(165/945) + -20? 1/22 Calculate 16536/(-1484)*(-7)/2. 39 Evaluate (-112 - 2)/((-121)/(1089/18)). 57 What is (-186)/(-16) + 305 + -57 + -259? 5/8 (7/(-63))/(((3 - -3)/(-72))/(135/90)) 2 4900/(-51450) + -1 + (-37)/(-168) -7/8 Evaluate (9/(-45) + 0)*40/(-16)*(-1)/(-17). 1/34 What is the value of (((-219)/18)/73)/((20/200)/(21/5))? -7 What is (-11 + 4)/((-161)/(-1127))? -49 Evaluate (27 - (3050014/75746 - 13)) + 6/22. 2/313 Calculate 2/5 - (28523/495 + (-3480)/1566). -55 What is 210/(-20) - (-163 + 151)? 3/2 (13/26 + (-1179)/2430)/(1 - (-4)/(-10)) 2/81 What is the value of ((-3285)/(-16425))/(16/(-30))? -3/8 Calculate ((-54)/8)/(31*(-2145)/(-16120)). -18/11 What is the value of -6 - (100 - (44 + 3))? -59 Calculate (-210)/882*-3 + 4 + -5. -2/7 Calculate (9/(-14))/((-54960)/11450*(54/56 + -1)). -15/4 Calculate ((-9)/7 - (1 + -2))/(17*(-51)/
{ "pile_set_name": "DM Mathematics" }
1. 5010729 Calculate the common denominator of -93/31922 and 59/2051714. 22568854 What is the smallest common multiple of 42975 and 63370935? 316854675 What is the common denominator of -97/40157910 and 47/310? 1244895210 Find the common denominator of 85/72559368 and -115/108839052. 217678104 Calculate the least common multiple of 3107940 and 36023850. 792524700 Calculate the common denominator of 86/4251513 and 48/916993. 46766643 Calculate the common denominator of 23/3 and 11/5810572. 17431716 Find the common denominator of 4/286473 and -109/28256655. 310823205 Find the common denominator of -67/7089516 and -40/567. 63805644 Calculate the least common multiple of 660 and 3425440. 113039520 Calculate the lowest common multiple of 2527028 and 141806. 3656609516 Calculate the common denominator of 73/6744309 and -40/4291833. 47210163 Find the common denominator of -91/538560 and -49/801. 47931840 Calculate the least common multiple of 13237 and 434. 26474 What is the common denominator of 49/11572160 and 13/72240? 243015360 Calculate the common denominator of 59/1923065 and -43/35. 13461455 What is the common denominator of 17/945702 and -133/20174976? 60524928 What is the common denominator of -141/11284000 and -97/3546400? 124124000 Calculate the common denominator of 43/705384 and -49/3213416. 28920744 Find the common denominator of -83/228246 and -97/23034. 2510706 Calculate the lowest common multiple of 1913470 and 353256. 22961640 What is the smallest common multiple of 30800 and 1095248? 27381200 What is the common denominator of -79/30860028 and 71/342? 30860028 Calculate the least common multiple of 3665060 and 50. 18325300 Calculate the lowest common multiple of 92748 and 3756. 29030124 What is the least common multiple of 151 and 159960944? 159960944 Calculate the common denominator of -13/1850241 and -74/6093. 5550723 What is the least common multiple of 522 and 15774144? 47322432 Calculate the common denominator of 1/252 and 87/1548848. 13939632 Calculate the lowest common multiple of 504532 and 63. 4540788 Calculate the least common multiple of 20656 and 801711. 12827376 Calculate the smallest common multiple of 131263341 and 21538. 262526682 Find the common denominator of -58/58810647 and 59/126. 352863882 What is the common denominator of 16/8460669 and 38/27? 76146021 Calculate the common denominator of -35/13857 and 76/12748887. 395215497 Calculate the common denominator of 63/3786910 and 12/1893455. 3786910 What is the common denominator of 25/1266567 and 1/111? 46862979 What is the smallest common multiple of 17984427 and 10? 179844270 Calculate the lowest common multiple of 9490 and 10602. 50306490 What is the common denominator of 101/420 and 71/5015150? 30090900 Calculate the least common multiple of 32 and 282072. 1128288 What is the least common multiple of 1387489 and 28157865? 478683705 What is the common denominator of 81/2483890 and 48/7? 17387230 What is the least common multiple of 209876 and 1469132? 1469132 What is the smallest common multiple of 7 and 2160331? 15122317 Calculate the common denominator of -61/12372 and -59/1355656. 4193044008 Calculate the common denominator of 64/1185195 and -19/771846. 466966830 Calculate the smallest common multiple of 3542984 and 44. 38972824 Calculate the lowest common multiple of 5439434 and 823284. 2643564924 Find the common denominator of -17/6 and -99/69050722. 207152166 Calculate the common denominator of -11/82796 and 34/29661667. 118646668 What is the smallest common multiple of 2214 and 14856? 5481864 What is the common denominator of 101/942 and -131/194592? 30550944 What is the common denominator of -59/136676 and -65/845812? 614905324 Calculate the lowest common multiple of 9891420 and 275. 49457100 Find the common denominator of 29/289306 and 48/2159. 289306 Calculate the least common multiple of 1376004 and 52. 17888052 What is the smallest common multiple of 7271462 and 44? 14542924 Calculate the least common multiple of 1663712 and 6. 4991136 Find the common denominator of 49/101106 and -67/9594. 1314378 Calculate the common denominator of -197/7149030 and -103/1770. 7149030 Calculate the common denominator of -92/211575 and 19/2387. 2327325 Calculate the lowest common multiple of 47348 and 179246. 2509444 What is the smallest common multiple of 1841 and 99582? 26190066 What is the lowest common multiple of 333 and 116262? 4301694 Calculate the lowest common multiple of 494343 and 459. 494343 Calculate the least common multiple of 57384 and 1075950. 4303800 What is the common denominator of 111/8586400 and -73/9273312? 231832800 Find the common denominator of -179/30 and -125/24924. 124620 What is the common denominator of -103/8583542 and -71/14? 60084794 What is the least common multiple of 4643 and 328? 1522904 What is the smallest common multiple of 1259734 and 4898? 39051754 Calculate the least common multiple of 4362704 and 32720280. 65440560 Find the common denominator of -63/239605 and -1/1211. 1677235 Calculate the common denominator of 51/3706436 and 19/20385398. 40770796 What is the least common multiple of 41324 and 2205? 91119420 Calculate the lowest common multiple of 22176 and 23540. 11864160 What is the least common multiple of 474 and 296724? 296724 Find the common denominator of -79/2897895 and -173/6006. 5795790 Find the common denominator of 53/560 and 1/164465. 2631440 Find the common denominator of -67/1136 and 161/234300. 937200 What is the least common multiple of 89100 and 155988? 386070300 Calculate the smallest common multiple of 207375 and 7070. 41889750 What is the smallest common multiple of 5 and 2418895? 2418895 What is the common denominator of -73/3077690 and 127/10010? 40009970 What is the lowest common multiple of 287006954 and 110942? 287006954 Calculate the common denominator of -77/15 and 35/3417291. 17086455 Calculate the lowest common multiple of 3535970 and 11926. 236909990 Calculate the least common multiple of 25861972 and 3. 77585916 Calculate the common denominator of -59/28989301 and 95/6. 173935806 What is the least common multiple of 710 and 524? 186020 Calculate the common denominator of 79/1024998 and 5/24024. 315699384 Calculate the common denominator of -37/408639 and 85/11712. 26152896 What is the common denominator of -61/21306500 and 42/5375? 21306500 Find the common denominator of -25/751 and 55/12832. 9636832 Calculate the lowest common multiple of 177426 and 25608486. 76825458 What is the common denominator of 11/1069764 and -53/339858? 253534068 Calculate the common denominator of -125/936 and -199/9411480. 9411480 Find the common denominator of -71/8014070 and -33/80. 64112560 What is the least common multiple of 17781831 and 2922? 35563662 What is the lowest common multiple of 2865180 and 418170? 753542340 Find the common denominator of -31/338324 and 69/16. 1353296 What is the lowest common multiple of 5 and 28720188? 143600940 Find the common denominator of 29/204 and -5/32970804. 560503668 Calculate the common denominator of -17/320 and 71/198782. 31805120 Calculate the least common multiple of 9258 and 1017. 3138462 Find the common denominator of 11/473194914 and 97/48951198. 1419584742 What is the smallest common multiple of 12380 and 10377535? 41510140 What is the least common multiple of 474 and 1402440? 110792760 Calculate the common denominator of 11/12731696 and 127/22280468. 89121872 Calculate the lowest common multiple of 194590134 and 190. 972950670 Find the common denominator of 71/41344 and -7/16796. 537472 Calculate the common denominator of 145/3252 and -5/178296. 48318216 What is the common denominator of -31/35594427 and -53/22650999? 249160989 What is the lowest common multiple of 13255 and 28280145? 311081595 Calculate the common denominator of -37/217788 and 87/3847588. 11542764 Calculate the smallest common multiple of 110770 and 4240. 886160 Find the common denominator of -113/25417380 and 127/299028. 25417380 What is the common denominator of -143/23677008 and 65/670104? 71031024 Calculate the lowest common multiple of 53701090 and 11674150. 268505450 What is the lowest common multiple of 29361904 and 440? 146809520 What is the least common multiple of 2093 and 30050
{ "pile_set_name": "DM Mathematics" }
ne f(j(y)). -18250*y**2 - 273 Let l(d) = -26*d. Let p(b) = 19*b - 31*b + 13*b. Let z(i) = -3*l(i) - 42*p(i). Let n(v) be the first derivative of -v**2/2 + 51. What is n(z(w))? -36*w Let m(v) = 44*v**2. Let s(x) = 99*x + 4. Let r(l) = -4080*l - 165. Let j(f) = 4*r(f) + 165*s(f). Calculate m(j(c)). 9900*c**2 Let q(t) be the second derivative of -13*t**4/6 + 523*t - 4. Let d(b) = b**2 - 2*b - 2. Let k(p) = 3*p**2 - 9*p - 9. Let g(s) = -9*d(s) + 2*k(s). Give g(q(h)). -2028*h**4 Let i(p) = -174*p. Let c(v) = 1535060*v. Calculate i(c(a)). -267100440*a Let d(l) = 55*l**2 - 12. Let i(t) = -1376*t + 3. Determine i(d(g)). -75680*g**2 + 16515 Let n(a) = a**2. Let s(p) = -14832127*p. Determine n(s(d)). 219991991344129*d**2 Let b(x) = x. Suppose 0 = -18*y + 10*y + 168. Let o(s) = -59*s + 24*s + y*s. Give o(b(k)). -14*k Let p(n) = n**2. Let s(g) = -8*g - 71*g - 51*g + 17*g - 147*g. Determine p(s(f)). 67600*f**2 Let d(y) be the third derivative of -y**4/6 + 59*y**2. Suppose 5*o - 2*n + 7*n = 140, 5*o - 108 = 3*n. Let a(q) = -o*q + 20*q + 1 - 1. Calculate d(a(u)). 16*u Let b(l) = -991*l + 496*l + 491*l. Let t(f) be the third derivative of 0*f + 0*f**3 + 0 + 1/12*f**4 + f**2. Calculate b(t(o)). -8*o Let k(q) = 4*q**2 + 5. Let o(f) = -4*f**2 - 4. Let y(v) = 4*k(v) + 5*o(v). Let b be 1125/165 + 2/11. Let s(i) = 6*i - 12*i + 0*i + b*i. What is y(s(d))? -4*d**2 Let z(v) = 3456*v + 3. Let t(i) = 353*i**2. Calculate z(t(u)). 1219968*u**2 + 3 Let m(l) = -2734676*l. Let f(g) = 2*g. What is f(m(j))? -5469352*j Let z(n) be the first derivative of n**2 + 9604. Let j(t) = 365*t - 1. Give j(z(b)). 730*b - 1 Let i(q) be the first derivative of -7*q**3/3 - 85. Let z(v) = -6 + v**2 + 2 + 4. Determine i(z(a)). -7*a**4 Let b(p) = -3*p**2. Let o(l) = -2660667*l. What is b(o(m))? -21237446654667*m**2 Let c(i) = 128*i - 64*i - 69*i. Let y(k) = -1807*k**2 + 52*k - 468. Let b(s) = 172*s**2 - 5*s + 45. Let n(r) = 52*b(r) + 5*y(r). Determine c(n(w)). 455*w**2 Let n(b) = -2*b. Let d(t) be the third derivative of t**7/420 - 17*t**4/6 + 13*t**2. Let r(u) be the second derivative of d(u). Give r(n(h)). 24*h**2 Let b(t) = t. Suppose 8*p = -0*p + 616. Let z = p + -75. Let a(x) = 225*x**2 + 237*x**2 - 418*x**z. Determine a(b(n)). 44*n**2 Let z(g) = 46*g**2 - 18*g - 745. Let i(h) = -18*h**2 + 7*h + 371. Let o(v) = 5*i(v) + 2*z(v). Let b(w) = -3*w. Calculate o(b(j)). 18*j**2 + 3*j + 365 Let y(d) = -118*d - 349*d - 425*d - 375*d + 214*d. Let t(g) = g**2. Determine t(y(s)). 1108809*s**2 Let h(z) = -1118*z - 1101*z + 2221*z. Let q(b) = -24*b - 2. Let o(g) = g. Let v(k) = -3*o(k) + q(k). Determine v(h(c)). -54*c - 2 Let o(b) = -b. Let y(g) be the third derivative of 149*g**5/60 - g**2 - 673*g + 1. Calculate y(o(n)). 149*n**2 Let q(g) = 5308643*g. Let l(r) = -24*r - 1. What is q(l(v))? -127407432*v - 5308643 Let y(m) = 227*m. Let s(f) = 301038*f**2 - 2. Determine y(s(z)). 68335626*z**2 - 454 Let g(a) = -174*a**2. Let v(d) = -5932919*d**2. Determine g(v(p)). -6124717847737614*p**4 Let h(a) = 2*a**2. Suppose 0*s + 5*w = 4*s - 118, -2*w = s - 36. Let f(t) be the first derivative of -700*t - t**2 + 700*t - s. Give f(h(j)). -4*j**2 Let k(c) = c. Let i(w) be the second derivative of 6*w**3 + 50*w**2 - 2269*w. Calculate i(k(t)). 36*t + 100 Let m(t) = 3*t**2. Let c(d) = -1491*d**2 + 7*d - 40. What is c(m(g))? -13419*g**4 + 21*g**2 - 40 Let r(h) = 4*h. Suppose -3*w = -v + 2*w + 12744, 4*v - 2*w = 50922. Let o be v/8 - (-2)/(-16). Let y(m) = 2*m + 1591 - o. Calculate y(r(i)). 8*i Let c(s) = -23886*s + 4*s**2 - s**2 + 23886*s. Let a(t) = -885*t. What is a(c(x))? -2655*x**2 Let l(f) = -2*f - 4. Let g(b) be the third derivative of b**4/6 + b**2 - 1633. Calculate g(l(v)). -8*v - 16 Let r(j) = -28605*j - 8. Let c(h) = -11*h + 12. Determine r(c(b)). 314655*b - 343268 Let o(g) = g. Suppose -d = -1 - 1. Suppose 1 - 12 = -5*c + 2*h, 5*h + 15 = 0. Let m(i) = -1 - i**d + c + 2*i**2. Calculate o(m(v)). v**2 Let g(f) = -10*f**2. Let n(s) = 145*s + 55. Let o(j) = -16*j - 6. Let m = -176 - -121. Let t(a) = m*o(a) - 6*n(a). What is t(g(y))? -100*y**2 Let u(g) = -3*g + 3*g - g**2. Let p(h) = -h + 4. Let v(x) be the second derivative of x**3/2 - 9*x**2 + 18*x + 6. Let j(l) = 9*p(l) + 2*v(l). Determine j(u(b)). 3*b**2 Let x(m) = -13*m**2. Let t(u) = -33*u**2 - 154. Let s(q) = -2*q**2 + 7. Let n(h) = -22*s(h) - t(h). What is x(n(c))? -77077*c**4 Let n(g) be the first derivative of -5*g**3 + 316492. Let z(f) be the first derivative of -14*f**3/3 + 1. Calculate z(n(r)). -3150*r**4 Let b(p) = 355*p - 2. Let y(q) = -9*q**2 - 4*q. Let c(n) = -84*n**2 - 38*n. Let d(l) = 2*c(l) - 19*y(l). Determine d(b(z)). 378075*z**2 - 4260*z + 12 Let f(g) be the second derivative of -g**5/60 - 5*g**2 + 54*g. Let a(i) be the first derivative of f(i). Let z(m) = 213*m - 2. Calculate z(a(b)). -213*b**2 - 2 Let r(p) = -40655269*p**2. Let s(g) = 3*g. What is r(s(b))? -365897421*b**2 Let d(j) = -4409*j**2 + 5*j - 4219*j**2 + 8850*j**2 - 5*j. Let y(n) = 2*n - 4*n - n. Give y(d(c)). -666*c**2 Let t(v) = 13*v. Let k(h) = 7686*h + 276. Determine t(k(d)). 99918*d + 3588 Let d(v) = v + 12. Let c(w) = 5*w + 12 + 1 + 1 - 11 + 13*w. Calculate c(d(j)). 18*j + 219 Let k(p) = 19448351*p. Let h(f) = 33*f**2. Give k(h(z)). 641795583*z**2 Let t(k) = -k. Let j(o) = -107*o - 36 + 57*o + 62*o. Calculate j(t(z)). -12*z - 36 Let a(z) = 1 + 2*z**2 - 1. Let i be (-48)/(-26) - 12/(-78). Let s(c) = 47*c**i - 69*c**2 + 31*c**2. Give s(a(k)). 36*k**4 Let k(x) = -x**2 - 2*x - 518. Let y(g) = -1172*g. Give y(k(i)). 1172*i**2 + 2344*i + 607096 Let h(s) = 2*s**2. Let y(j) be the second derivative of 83*j**7/2520 - 5*j**4/2 - 61*j. Let a(p) be the third derivative of y(p). Give h(a(d)). 13778*d**4 Let m(n) = -6*n. Suppose 3*x + 1 = 22. Suppose 0 = -15*j + x*j + 16. Let i(q) = -q**2 + 0*q**2 + 5*q**j - 2*q**2. Determine i(m(d)). 72*d**2 Let c(k) = -21*k**2. Suppose 10 + 14 = 6*g. Suppose 4 - 28 = -g*r. Let d(b) = 16 - 16 - 8*b**2 + r*b**2. What is d(c(o))? -882*o**4 Let s(i) be the third derivative of 19*i**5/60 + 1478*i**2. Let z(d) = -3*d. What is z(s(m))? -57*m**2 Let l(g) = 4*g. Let h(y) = 2860*y**2 - 2288*y + 1144. Let z(v) = 2*v**2 - 2*v + 1. Let r(k) = -3*h(k) + 3432*z(k). Determine l(r(m)). -6864*m**2 Let g(o) = 6021*o**2 + 4*o - 228. Let j(d) = 2*d**2. What is g(j(z))? 24084*z**4 + 8*z**2 - 228 Let z(i) = 3*i. Let p(b) = 6*b + 3147964. Give p(z(c)). 18*c + 3147964 Let d(f) = 6*f**2 + 31*f + 165*f**2 + 51*f**2 - 32*f. Let y(b) = -b. Determine y(d(v)). -222*v**2 + v Let q(s) be the first derivative of s**6/120 + s**3 - 38. Let k(v) be the third derivative of q(v). Let o(l) = 0*l + 16*l - 3*l. Calculate o(k(p)). 39*p**2 Let l(t) = 6641*t**2 + 2*t. Let u(o) = 2*o + 1. Let g(z) = -12*z - 5. Let h(d) = g(d) + 5*u(d). What is h(l(i))? -13282*i**2 - 4*i Let v(w) be the third derivative of -w**4/24 + 1289*w**2. Let g(h) = 135*h - 155*h - 407*h. What is g(v(c))? 427*c Let g(c) = 14*c. Let m(o) = 0 - 41269*o + 41266*o - 1. Give g(m(t)). -42*t - 14 Let k(d) be the second derivative of -28*d**4/3 - 9*d + 3. Let z(o) = -24*o**2. Give k(z(g)). -64512*g**4 Let l(w) = w**2 + 90*w + 12. Let i(a) = -a**2 - 75*a - 10. Let z(x) = 6*i(x) + 5*l(x). Let y(n) = 174*n. Calculate z(y(f)). -30276*f**2 Let l(w) = 19*w**2 - 2. Let y(d) = 814*d**2 - 414*d**2 - 76 - 29 + 587*d**2. Let u(h) = 210*l(h) - 4*y(h). Let k(t) = -4*t. Calculate u(k(m)). 672*m**2 Let v(z) = -369*z**2. Let t(d) = 4367*d - 1. Calculate t(v(n)). -1611423*n**2 - 1 Let c(q) = -2272667*q. Let w(d) = 4*d + 2. Give w(c(t)). -9090668*t + 2 Let u(p) = -19*p. Let q(t) be the second derivative of -11*t**4/12 + 7*t**2 - 6905*t. Calculate q(u(x)). -3971*x**2 + 14 Let p(q) = 16*q - 237. Let o(t) = 65*t - 1027. Let h(n) = -3*o(n) + 13*p(n). Let z(w) be the third derivative of w**5/15 - 2*w**2. Determine h(z(r)). 52*r**2 Let v(h) = 364754253*h. Let b(t) = -6*t**2. Calculate b(v(g)). -798273990489528054*g**2 Let f(a) = 942251*a. Let k(n) = -n - 18. What is k(f(d))? -942251*d - 18 Let u(b) = -8*b. Let t(x) = 2*x**2 + 4*x + 3871. What is t(u(w))? 128*w**2 - 32*w + 3871 Let j(g) = 4*g. Let r(s) = -14*s - 6. Let l = -92 + 89. Let w(n) = -28*n - 14. Let b(c) = l*w(c) + 7*r(c). Calculate b(j(t)). -56*t Suppose 125 = -5*l + 140. Let m(z) = z - 2*z + l*z
{ "pile_set_name": "DM Mathematics" }
9) + 3. Suppose 3*y + w*b - 86 = 110, -b = -4. What is the highest common factor of y and 15? 15 Suppose 37*j = 22971 + 6407. What is the highest common divisor of 6 and j? 2 Suppose -61*t = -64*t + 90. Calculate the greatest common divisor of 186 and t. 6 Suppose -5*r + 1255 = 2*j - 5034, 3*j = -9*r + 9426. Calculate the greatest common divisor of 1309 and j. 77 Let i be ((-1)/(-2))/((-44)/88). Let q be ((-930)/(-24))/((-10)/(-8) + i). What is the greatest common factor of q and 31? 31 Let l be (-312)/((-6)/4 - 2*(-2)/(-8)). What is the greatest common divisor of 108 and l? 12 Suppose 7*c - 5029 = 3*m, 35 = 4*c + 4*m - 2793. Calculate the greatest common divisor of 1760 and c. 55 Let q(d) = d**3 + 18*d**2 + 4*d - 165. Let p be q(-15). Calculate the highest common factor of p and 550. 50 Suppose -3*q + 99 = -0*k - 3*k, -2*q - 78 = 2*k. Suppose -117 = 5*v + 168. Let o = k - v. Calculate the greatest common divisor of 7 and o. 7 Suppose g - s - 36 = 0, 5*g - 182 = -2*s + 5*s. Let n = 127 - g. What is the greatest common factor of 40 and n? 10 Let f = 18815 - 18779. What is the highest common factor of 1532 and f? 4 Let p(q) = -15*q**3 + 2*q**2 + 7*q + 5. Let n be 2 - (-20)/(-8) - (-2)/(-4). Let v be p(n). What is the greatest common divisor of v and 75? 15 Let w = 4721 - 4705. Calculate the highest common divisor of 2224 and w. 16 Let z(v) = v**2 + 13*v - 471. Let w be z(35). What is the highest common divisor of w and 837? 93 Let h = -2000 + 2364. Calculate the highest common divisor of 7 and h. 7 Suppose 5*k = -4*w - w + 7495, 5*k + w - 7507 = 0. Suppose -9*i + k = -793. What is the highest common divisor of 153 and i? 51 Let j(v) = 8*v**2. Let w be j(4). Suppose -y = 19989*n - 19988*n - 43, -51 = -4*y + 7*n. What is the highest common factor of w and y? 32 Suppose 4*h - 2*o - 72 = 0, 25 - 7 = 9*o. Suppose 0*i + 2*i = 68. Let p = i + 4. Calculate the greatest common divisor of h and p. 19 Let y = 11312 - 7571. What is the greatest common divisor of y and 43? 43 Let w be 8952 - (171/19 - 17). Calculate the highest common divisor of w and 35. 35 Suppose 3*h + 27 = 72. Suppose -330 = -18*u + h*u. Let g = 17 + -7. What is the greatest common divisor of g and u? 10 Let t(o) = 3*o**2 - 77 + o**3 - 18*o - 16*o**2 + 70. Let d be t(14). Let l = 7 - d. Calculate the highest common factor of l and 14. 14 Let c(z) = z**3 - z**2. Let q be c(0). Let o be (q - 2)/(2/(-91)). Let p be 25/(-10) + -16 + (-882)/(-28). Calculate the greatest common factor of p and o. 13 Let y = 216 - 132. Suppose -8 = -2*x, 5*j - 155 = -4*x + 1. What is the greatest common divisor of y and j? 28 Suppose 261*q = 265*q + 8, 0 = -3*o + 5*q - 1910. Suppose -2928 = -5*b + 2*b. Let r = b + o. Calculate the highest common divisor of 42 and r. 42 Let c be 464/(-76) - (655/95 + -7). Let t be 120/c*((-675)/(-10))/(-1). Calculate the greatest common factor of t and 50. 50 Let r = 15 - 20. Let t be r*(-3)/20*(-92)/1. Let j = t + 71. What is the highest common factor of j and 5? 1 Let j = -2910 - -3025. Calculate the greatest common divisor of 11 and j. 1 Let w = 2507 - -2098. Calculate the highest common factor of w and 75. 15 Suppose -4*b - 3*y = b - 112, 3*y - 12 = 0. Let h be (-440848)/(-18408) - (40/195)/(-4). What is the highest common factor of h and b? 4 Suppose 26*m = 4*o + 30*m, -2*m = 4*o - 2. Calculate the highest common divisor of 49 and o. 1 Suppose -33*m + 1049 = -568. Suppose -o + 10 = 5*g, g + 47 = -4*o + m. Calculate the highest common divisor of g and 31. 1 Let m(u) = 2*u**2 - 57*u + 226. Let q be m(26). Let o(s) = -s**2 - 7*s + 3. Let h be o(-7). Calculate the highest common factor of h and q. 3 Let b(y) = y**3 + 9*y**2 + 48*y + 388. Let f be b(-8). What is the greatest common divisor of 221 and f? 17 Let s be 108/189 + (-49976)/(-56). What is the greatest common factor of s and 799? 47 Let m(p) = -142*p**3 + 28*p**2 + 14*p + 4. Let u be m(-3). What is the greatest common factor of 92 and u? 92 Suppose -4*q + 5*q - 4 = 0. Suppose 36 = 3*z + d - 44, 0 = -q*z - 2*d + 104. Let p be (2 + 0)/(-14) - (-620)/z. What is the greatest common divisor of 44 and p? 22 Let f(h) = h**2 - 17*h - 170. Let s be f(0). Let g be 3 - -6 - 4 - s. What is the highest common factor of 140 and g? 35 Let f = 41 - 30. Let u(y) = y**2 - 3*y - 10. Let l be u(f). Let h be (7/(7/2))/(4/l). What is the greatest common factor of h and 52? 13 Suppose 40252 = 97*o - 10673. What is the highest common factor of 735 and o? 105 Let j(n) = -n**2 - 7*n + 10. Let t be j(8). Let h be (44/t)/(2/(-10)). Let m be -33*((-4)/(-12))/(h + -3). Calculate the greatest common factor of 11 and m. 11 Let s be (-482 + -2)/(-2) - 0. Let f(i) = -4*i - 1. Let w be f(-1). Suppose w*u = -u + 88. Calculate the highest common factor of s and u. 22 Suppose 0 = -152*n + 145*n + 1470. Suppose n + 14 = 14*t. What is the greatest common factor of t and 112? 16 Suppose 41*s - 151 = 95. Let a be 2/(-12) + 52/24. Suppose -3*c - a*c = -150. Calculate the greatest common factor of s and c. 6 Let m(v) = 2*v + 96. Let j be m(-12). Calculate the greatest common factor of 450 and j. 18 Suppose 3*z + 0*q + 4*q - 4 = 0, -12 = z - 2*q. Let n be 5/((-35)/(-273)) + 0 + z. Suppose n = 4*o - 17. What is the highest common divisor of 221 and o? 13 Suppose -2433 - 2499 = -5*b - 3*z, -2*b = -2*z - 1960. Suppose b - 236 = 3*h - 4*x, -3*h + 2*x + 758 = 0. Calculate the greatest common divisor of h and 8. 8 Let n be (6/(-32)*-4)/((-1)/4). Let p be 39/(-78) - n/(12/394). Calculate the greatest common divisor of p and 14. 14 Let j = -467 - -110. Let r = -355 - j. What is the greatest common factor of 38 and r? 2 Let b(f) = 16*f**3 + 2*f**2 + 9*f + 19. Let m be b(-2). Let u be (-5576)/m + (-12)/14. What is the greatest common factor of 414 and u? 46 Let h(n) = -n**2 + 32*n - 28. Let v be h(26). What is the highest common divisor of v and 3488? 32 Suppose 0 = -2*b - t + 148, -3*t - 75 = 2*b - 231. What is the greatest common factor of 207 and b? 9 Suppose -10*z + 16*z = 0. Let j be 58/(1 - z/3). Let m = -30 + j. What is the highest common divisor of 252 and m? 28 Let r = -4051 - -6604. What is the greatest common divisor of r and 74? 37 Suppose -5*c + 6*c - 131 = 0. Let x = -1137 + 1618. Suppose 7*q - x = -c. What is the highest common factor of q and 10? 10 Let j = -2923 + 3037. Let k = -243 + 414. Calculate the greatest common divisor of k and j. 57 Let o(d) = d**2 + 15*d - 14. Let r be o(-16). Suppose 0 = -r*a - 4*z + 116, -a + 56 = -5*z + 9*z. Calculate the highest common divisor of a and 140. 20 Let n = 21539 - 21518. Suppose 0 = w - 0*w - 56. Calculate the highest common divisor of w and n. 7 Let g(v) = -2*v**3 + 28*v**2 - 20*v + 56. Let n be g(13). Calculate the greatest common divisor of 67 and n. 67 Let b(k) = 3*k**3 + 65*k**2 - 63*k - 846. Let q be b(-22). Suppose -v + 3*v = 98. What is the greatest common divisor of v and q? 7 Let d(b) = -4*b + 4*b - 9 + 3*b + 4*b. Let s be d(11). Calculate the greatest common factor of 612 and s. 68 Let v = -3104 - -6992. What is the highest common factor of 16 and v? 16 Let l(w) = -w**3 + 9*w**2 - 2*w + 18. Let t be l(9). Suppose 0*j - 2*j + 14 = t. Calculate the greatest common divisor of j and 161. 7 Suppose 0 = -637*y + 633*y + 364. Let q(n) = n**2 + 4*n. Let p be q(-4). Suppose -4*t + 5*f - 2*f = -52, 2*f = p. What is the greatest common factor of t and y? 13 Let r be 2 + 6 - 0/1. Let y be (-4)/(r/6) + 35. Suppose l - 4*l + 869 = -5*v, 0 = 3*l - 3*v - 867. What is the greatest common divisor of y and l? 32 Let v = 514 - 584. Let x be v/(-28)*(-12)/(-15). Calculate the greatest common divisor of 5 and x. 1 Suppose 46*j = 45*j - 2*s + 26, -5*s + 130 = 5*j. Calculate the greatest common divisor of j and 4706. 26 Let l = 215 - 137. Calculate the greatest common factor of 1794 and l. 78 Let n(g) = -g**3 + 33*g**2 + 33*g - 1469. Let j be n(25). What is the greatest common factor of 36 and j? 36 Let x be (-1 - -1)/(2 - 3). Suppose 2*i - 2*o - 158 = x, -6*i - o + 173 = -4*i. Calculate the greatest common divisor of 48 and i. 12 Let o be (-3275)/(-50) + 10/4. Suppose -v + 4 + 16 = -f, -4*v + o = -f. Calculate the greatest common factor of 328 and v. 8 Let q(z) = 13 - 41*z + z**2 + 0*z**2 + 16*z - 5*z**2. Let u be q(-5).
{ "pile_set_name": "DM Mathematics" }
9*w + 12*w + 28*w = -15*w - 1332 for w. -18 Solve 109*t + 1164*t - 54462 = -9907 for t. 35 Solve 509*x + 64857 = -1154*x for x. -39 Solve 327*o + 1445*o = -53160 for o. -30 Solve 7750 = -143*f - 3332 + 4309 - 6240 for f. -91 Solve -1420*y + 13264 = 3324 for y. 7 Solve -190 - 131 + 185 - 68 = 12*p for p. -17 Solve 33*t + 297*t + 15433 = 77*t for t. -61 Solve -167*o - 722*o = 3688*o - 628*o + 78980 for o. -20 Solve 0 = 99*h + 350 - 1241 for h. 9 Solve -71*i - 65*i = 54*i + 524 + 616 for i. -6 Solve -2141 = 367*c + 6678 + 21275 for c. -82 Solve -1617*p = -3091*p + 1577*p - 15759 for p. 153 Solve 0 = 45*p + 1166 + 184 for p. -30 Solve 53*w + 27*w + 2448 = 8*w for w. -34 Solve 55*o + 36 = -25 - 28 + 89 for o. 0 Solve -237 - 55 - 39 = 15*a + 299 for a. -42 Solve -464*d + 48866 = 83*d - 86*d for d. 106 Solve 2100*l + 2947 - 74347 = 0 for l. 34 Solve -2657959*i = -2657145*i - 65934 for i. 81 Solve -822*u - 3226 - 6694 = 987 - 221 for u. -13 Solve 52*g + 698*g - 12990 = -571*g + 22*g for g. 10 Solve 0 = -405*i + 3215*i - 211*i + 98762 for i. -38 Solve 148*o - 350721 = -379*o - 409218 for o. -111 Solve 0 = -379*k - 521330 + 556956 for k. 94 Solve -1912*w + 2341*w + 3028*w = -335329 for w. -97 Solve -6031 = 2*p + 43*p + 121*p + 277 for p. -38 Solve -17*x + 5*x + 4392 + 144 = -93*x for x. -56 Solve -289*v - 199*v = -552*v - 768 for v. -12 Solve -8604 = -63*m - 10431 for m. -29 Solve 2320*v = -1334*v + 1094*v - 245760 for v. -96 Solve -4828*c - 148706 - 160286 = 0 for c. -64 Solve 480*p - 16957 = -105*p + 14048 for p. 53 Solve 86377*g = 86435*g + 232 for g. -4 Solve 311*a = 28*a - 346*a + 20757 for a. 33 Solve 29 = -12*n - 556 + 81 for n. -42 Solve 745*m - 19214 + 155 = 9226 + 20140 for m. 65 Solve 47532 = 114*b - 47348 + 92486 for b. 21 Solve -309*i = 1495*i + 70356 for i. -39 Solve 98*o + 51*o = 3*o - 5639 - 5019 for o. -73 Solve 28535 + 81043 = -5218*b for b. -21 Solve -977*j + 187435 = -3756*j + 59601 for j. -46 Solve -1518*q = 58042 + 7232 for q. -43 Solve -433*a - 47191 = -10819 for a. -84 Solve 152*g - 219*g + 80080 = 569*g + 404*g for g. 77 Solve -16353 - 18649 = 545*m - 10477 for m. -45 Solve 49984*g - 52305*g - 146223 = 0 for g. -63 Solve -1052*n - 588 = 1060*n - 2133*n for n. 28 Solve -557*z + 481*z + 48540 = 733*z for z. 60 Solve -91*q = 6388 - 2020 for q. -48 Solve 41*q + 2027 - 7802 = -124*q for q. 35 Solve -4029*o + 4953*o + 56685 = -20931 for o. -84 Solve 13279*s - 588195 - 739705 = 0 for s. 100 Solve 0 = 845*h - 1432 - 13122 - 6014 - 6472 for h. 32 Solve 1054*r + 24886 = 14970 - 41730 for r. -49 Solve -243 = -57*j - 72 for j. 3 Solve -7068*z + 7123*z - 1540 = 0 for z. 28 Solve 49*h - 346 = 929 + 538 for h. 37 Solve 1216551 = -2470*c - 9893*c + 264600 for c. -77 Solve 6723 + 32197 = -3857*d - 36656 - 5421 for d. -21 Solve 151*x - 8981 = -517*x + 1707 for x. 16 Solve -718*s = -78*s - 8320 for s. 13 Solve 4*g - 1475*g + 58530 - 30693 = -64836 for g. 63 Solve 1619*v + 1541*v + 14*v - 58824 = 723*v for v. 24 Solve -9920 - 15033 = 416*y + 6663 for y. -76 Solve -43577*k + 45207*k + 166260 = 0 for k. -102 Solve 1295 - 4277 = 213*b for b. -14 Solve 8*l + 106*l - 70*l + 2016 = -68*l for l. -18 Solve 381053 = 5417*c + 1486*c - 102157 for c. 70 Solve -4110 = 7*m - 111*m + 280*m + 98*m for m. -15 Solve 915*j - 461*j + 4 - 28 = 460*j for j. -4 Solve 3020 + 1908 = -56*p + 232*p for p. 28 Solve -292*q - 88*q = 8740 for q. -23 Solve 699 = -27*n - 220 + 1 for n. -34 Solve -7472*g = -388675 - 246445 for g. 85 Solve 796802*r + 16554 = 797069*r for r. 62 Solve -3193*m - 7101 = 11474 + 3776 for m. -7 Solve 106*t = -57*t + 7738 + 575 for t. 51 Solve 0 = 119*y - 22922 + 20899 for y. 17 Solve 1897 = 113*q + 7208 for q. -47 Solve -1129*s + 395*s - 1530*s + 5630 = -39650 for s. 20 Solve -11988*n = -12031*n + 1462 for n. 34 Solve 40218*v - 40155*v = 1719 + 171 for v. 30 Solve -88119 = -4083*q + 99699 for q. 46 Solve -3308*c + 725*c + 1756 + 744 = 10249 for c. -3 Solve -178*t - 865*t = 778*t - 99*t + 91266 for t. -53 Solve -95*z = 6573 - 5908 for z. -7 Solve -187*j + 3248 = 3996 for j. -4 Solve -32982*n = -32921*n + 1952 for n. -32 Solve -611*y - 2109 + 11284 = -31151 for y. 66 Solve 89*b - 457 + 675 + 2007 = 0 for b. -25 Solve -6822*u = 5463*u + 50182 + 613208 for u. -54 Solve -293832*j + 294184*j = -15488 for j. -44 Solve 766*o = 1612*o - 1060*o - 1760 - 1450 for o. -15 Solve 428*x - 969*x + 49950 = 1124*x for x. 30 Solve 152 = -4042*m + 4023*m for m. -8 Solve 53*u - 962 + 2990 = -25*u for u. -26 Solve -35311 = -2022*k - 2632 + 1629 + 2088 for k. 18 Solve -229*t - 149825 = 2076*t for t. -65 Solve 20240 = 163035*u - 162575*u for u. 44 Solve -789*f - 6019 = 30220 + 19780 for f. -71 Solve -4487 = 590*d - 6257 for d. 3 Solve 0 = -121*z - 5373 + 9608 for z. 35 Solve 0 = -165*b - 7822 + 7162 for b. -4 Solve -7767 = 9*z + 487*z + 15049 for z. -46 Solve -30*x - 183*x - 641*x = 7123 + 51803 for x. -69 Solve -161*k - 388*k - 6466 + 31104 = -11047 for k. 65 Solve -491*r + 33 + 78 + 149 = -511*r for r. -13 Solve -1255*o = -924 + 73 + 4616 for o. -3 Solve 0 = -3*r + 198 - 142 - 152 for r. -32 Solve 1791 = -393*l - 47*l - 6569 for l. -19 Solve 62*s + 1152 = -585 + 559 for s. -19 Solve 0 = -270*n + 4255 - 8575 for n. -16 Solve -1472*s - 32172 + 2106 = 53657 - 14539 for s. -47 Solve -22*x - 18*x = -11*x + 145 for x. -5 Solve -1694 - 70 = 47*v - 72 for v. -36 Solve 2089*b - 497239 = -254915 for b. 116 Solve 11771 = 108*f - 104*f + 21*f + 124*f for f. 79 Solve 7*z = 1099*z + 16380 for z. -15 Solve -134*z - 22287 = 112*z + 236*z - 45*z for z. -51 Solve 210*d - 17434 + 10504 = 0 for d. 33 Solve 2948*t = -367*t - 288405 for t. -87 Solve -14171*q + 7151*q + 7173*q = -6120 for q. -40 Solve 0 = 9*q + 245*q - 62165 + 47687 for q. 57 Solve 654*h - 657*h - 21 = 3 + 15 for h. -13 Solve -156093 = 132*u - 155697 for u. -3 Solve -224*m + 56*m - 8166602 = -8184410 for m. 106 Solve 41*i - 105*i = 64*i - 4666 - 6086 for i. 84 Solve 59*h - 152 + 170 = -226 - 464 for h. -12 Solve 42 = 531*d + 6414 for d. -12 Solve 8301586*d + 8900 = 8301497*d for d. -100 Solve 4662*u - 76420 + 246759 = -137353 for u. -66 Solve -59*k - 102 - 399 = 15*k + 757 for k. -17 Solve -2999*k = -2829*k - 13597*k - 686374 - 629472 for k. -98 Solve 94*g = 138*g + 1519 - 67 for g. -33 Solve 430 = -37*d - 1679 for d. -57 Solve 15587*c - 18432 = 13539*c for c. 9 Solve 63*m + 140*m - 6965 + 2851 = 5224 for m. 46 Solve 9295*z + 1468863 = -5542*z for z. -99 Solve 33*u + 3493 + 96 = -64*u for u. -37 Solve -498*j - 17533 + 3118 = 599*j - 136*j for j. -15 Solve -1528*u - 25920 = -1048*u for u. -54 Solve -2438 + 863 = 112*l + 113*l for l. -7 Solve 178*k - 138*k = 1880*k + 3680 for k. -2 Solve 35*m = 40 - 746 - 169 for m. -25 Solve -1333*f + 426*f + 454*f - 616 = -425*f for f. -22 Solve 459*c - 1024*c = 712*c - 60019 for c. 47 Solve -3543*s - 120526 + 63152 = -1355*s + 130794 for s. -86 Solve 2352 = -55332*a + 55276*a for a. -42 Solve -87*k - 5291 = 3795 - 4407 + 5587 for k. -118 Solve 420*t + 1564 = -285*t + 739*t for t. 46 Solve 0 = 255*j + 60*j + 117*j + 20736 for j. -48 Solve -4749*r + 13207 + 399956 = 0 for r. 87 Solve 15650*a - 19025 = 15325*a + 25500 for a. 137 Solve -306*x + 9693 = 1177*x - 406*x for x. 9 Solve 129*t - 4441 = 301*t - 115*t - 11851 for t. 130 Solve 39*n + 29*n = 15*n - 7*n + 3720 for n. 62 Solve -92*s - 3476 = -364*s - 20*s + 11708 for s. 52 Solve 14*l + 50*l - 2870 = 3*l - 21*l for l. 35 Solve 787*m = 10112*m - 820600 for m. 88 Solve 3212*u + 489*u - 20959 = -71*u - 235963 for u. -57 Solve 2097*w - 57165 - 155170 = 44208 - 69910 for w. 89 Solve -4569*z = -4448*z - 5445 for z. 45 Solve -2752*j + 2249*j = 18108 for j. -36 Solve -755 = 206*m + 36 + 239 for m. -5 Solve -4*h - 2025 = -2045 for h. 5 Solve -3813*x - 37673 - 45927 - 105175 = 382*x for x. -45 Solve 15228 = 74513175*m - 74513283*m for m. -141 Solve 1095*y = 17445 - 4305 for y. 12 Solve -2063*z - 93*z + 27144 = 3627*z - 1259*z for z. 6 Solve -1373254*f = -1373257*f - 261 for f. -87 Solve 490*t + 5755 + 4422 + 4033 = 0 for t. -29 Solve 11413*o - 9021*o = 119600 for o. 50 Solve 6015*a = -334*a - 3563*a - 171629 - 145555 for a. -32 Solve -17*o + 73*o - 27*o - 725 = 0 for o. 25 Solve 16296 - 32702 = 31*b - 15259 for b. -37 Solve -6*z + 16816 = 110*z + 177*z -
{ "pile_set_name": "DM Mathematics" }
rt(3)*-5). -23*sqrt(11)/5 + 45 Simplify 5 + 1*(sqrt(2057) + (-1 + sqrt(2057))*-4)**2 + ((sqrt(2057) + 1)*1 - (2 + (sqrt(2057) - (sqrt(2057)*1 + sqrt(2057)))))**2 + 4. -308*sqrt(17) + 26767 Simplify (sqrt(2200)*3 + sqrt(22))/sqrt(11)*1 + (sqrt(900)/sqrt(2))/((sqrt(99) - -2*sqrt(99))/sqrt(11)). 98*sqrt(2)/3 Simplify (((sqrt(475) + 0)*-1 + 2*sqrt(475)*-1)**2 - (1*sqrt(3800))/(sqrt(256)/sqrt(8) - sqrt(2)))*-5. -21375 + 50*sqrt(19)/3 Simplify ((4*(sqrt(100)*2 - sqrt(100))*-2)/((sqrt(72) - (1*sqrt(72) + sqrt(72)))*-2*6))**2. 50/81 Simplify 3*((-2*sqrt(539))**2 - ((1*sqrt(110) + sqrt(110))/sqrt(10))**2) - (3 + 5 + (sqrt(1584) - (sqrt(1584) + 2)**2)). 36*sqrt(11) + 7916 Simplify 3*(sqrt(363) + (sqrt(363) - (sqrt(363) - sqrt(363)*-1)*2) + sqrt(363)) + -6*(sqrt(363) + 4*(-2 + sqrt(363)) + sqrt(363))**2 + -3. -78795 + 6303*sqrt(3) Simplify 2*(4 + (5*(2*sqrt(700) + 1) - (sqrt(700) + 5 + sqrt(700) + 1 + -1)))**2. 1280*sqrt(7) + 89632 Simplify (-3*-6*(sqrt(704) - sqrt(704)*-2*-2 - sqrt(704)*-3*-2)*5*-3)**2. 4157049600 Simplify (-4*(5*2*(-2*sqrt(243)*-3 + -4*(sqrt(243) + 1*sqrt(243)) + 2) + -4) + -3)**2. -96480*sqrt(3) + 1559689 Simplify 4 + (sqrt(288) + (sqrt(288) - (4 + -1 + sqrt(288))) - ((sqrt(288) - (sqrt(288) + 0 + sqrt(288))) + 4 - sqrt(288))**2 - (-1 + 3 + sqrt(288))*-6) + 2. -1153 + 276*sqrt(2) Simplify (((sqrt(20) - 2*sqrt(500) - sqrt(20))*6*-4)/((sqrt(1440) - sqrt(1440)*1*3) + -2*sqrt(1440)*5))**2. 50/9 Simplify (sqrt(36)/sqrt(3)*5)/sqrt(4)*-4 - (-1*sqrt(12)*-3)/(sqrt(256)*-3). -159*sqrt(3)/8 Simplify (1*3*sqrt(136)*-2*-6)/(-1*sqrt(3872)*-4). 9*sqrt(17)/22 Simplify -5*(-1*1*sqrt(112))**2 - -4*sqrt(49)/((sqrt(168)/sqrt(3))/sqrt(8)). -560 + 4*sqrt(7) Simplify (((5 + -2*sqrt(288))*-6 + 3*(sqrt(288)*-2 + sqrt(288)) + sqrt(288) + 1)*5*3)**2. -1566000*sqrt(2) + 6669225 Simplify 5 + (sqrt(192) + -4 + 2 + sqrt(192) + -5 + sqrt(192)*-1)**2 + (sqrt(192) + 2 + -4 - (-4 + (sqrt(192) - (sqrt(192) + 1)) + sqrt(192)))**2. -112*sqrt(3) + 255 Simplify -5*1*(-5 + ((1 + sqrt(1053)*3 + sqrt(1053) + -2 + -4 + sqrt(1053))*-4)**2). -2107975 + 36000*sqrt(13) Simplify ((-5*sqrt(132)*-1)/(1*sqrt(24)))/(4*((sqrt(162) - sqrt(162)*-3 - sqrt(162)) + sqrt(162))*-3). -5*sqrt(11)/864 Simplify ((sqrt(1008) - 4*(sqrt(1008)*-1 - sqrt(1008))**2) + -1 - (0 + sqrt(1008)*1)*-5)*4. -64516 + 288*sqrt(7) Simplify (-3*-6*((sqrt(114) - (sqrt(114) - sqrt(114)*1*-1)) + sqrt(114)))/((sqrt(108)*-3)/((sqrt(18) + sqrt(2))*-3)). 0 Simplify (2*((sqrt(78) + 2*(sqrt(78) - -2*sqrt(78) - sqrt(78)) - 1*sqrt(78)*-4)/(sqrt(24)/(sqrt(64)/sqrt(4))) + 1))**2. 144*sqrt(13) + 16852 Simplify ((1 + -2*sqrt(612) + sqrt(612))*6 - ((-2*sqrt(68) + sqrt(68))*-4 + -5*sqrt(68)*-1 + sqrt(68)))**2. -672*sqrt(17) + 53348 Simplify -3*(2 + 3 + (sqrt(363) + (sqrt(363) - (sqrt(363) + (sqrt(363) - -3*sqrt(363)*-4))) + sqrt(363))**2 + -2 + -2) + 0. -184044 Simplify 3 + (6*(sqrt(121) + 1*sqrt(121) + sqrt(121))*-5*1)/(-2*sqrt(1100) - sqrt(66)/(sqrt(6)*-2)). 3 + 60*sqrt(11)/13 Simplify (1*(sqrt(12) + (sqrt(12) - sqrt(24)/(sqrt(8)/sqrt(4))))*6)/((sqrt(216)*5)/(1*sqrt(18)/sqrt(2))). 3*sqrt(2)/5 Simplify (sqrt(70)*-6*3 + 1*sqrt(70)*-2)/(sqrt(70)/(-6*sqrt(7)) + sqrt(250)*-6). 120*sqrt(7)/181 Simplify ((sqrt(520)*2*-5 - sqrt(520))/(1*sqrt(10)*-5))/(-2*((sqrt(72) + 3*sqrt(72))/sqrt(6) + sqrt(12))/sqrt(3)). -11*sqrt(13)/50 Simplify -5 + (sqrt(384)/sqrt(8) - sqrt(3)) + -2 + 6*(sqrt(75) + sqrt(75) + 0 + sqrt(75))**2*3. 3*sqrt(3) + 12143 Simplify (((sqrt(68) + 0 + 5)*-4 - 3*sqrt(68)*2*5)*1)**2. 2720*sqrt(17) + 79008 Simplify (-6*(6*sqrt(2736)*1 + sqrt(2736) + 2 - (2*-1*sqrt(2736) + 1))*6)**2. 279936*sqrt(19) + 287215632 Simplify -1*((5*(2*sqrt(343) + -3))**2 + -4 + -2*(4*(-1 + sqrt(343) + -1))**2). -23417 + 1204*sqrt(7) Simplify (-5*(0 + -1*(sqrt(17)*-2 + -1))*-6 + 0)*2. 60 + 120*sqrt(17) Simplify ((sqrt(264)*2*-4)/((-2*sqrt(88))/sqrt(11)))/(sqrt(33)/(sqrt(11) + sqrt(275)) + sqrt(9)/(sqrt(3)*2)) + 3. 3 + 6*sqrt(11) Simplify ((5 + sqrt(75) + 0 - (sqrt(75) - (sqrt(75) + (sqrt(75) + 0)*-3 + sqrt(75) - sqrt(75))) - (5*sqrt(75)*-2 + -5)) + -5)**2. 400*sqrt(3) + 4825 Simplify (5*1*(sqrt(68) + 2*sqrt(68) + -1 + -4 + -1*(sqrt(68) + (sqrt(68) + 0)*-1))*1)**2. -1500*sqrt(17) + 15925 Simplify (-4*(-1 + sqrt(768)))**2 - (-1 + sqrt(972) + -5 + sqrt(972)). -548*sqrt(3) + 12310 Simplify (2 + (-3*(2 + 4 + 0 + 4*sqrt(1008)) + -2)**2)*2. 11520*sqrt(7) + 291108 Simplify ((sqrt(825) + 1*sqrt(825))/(sqrt(132)/(sqrt(12)*2)) - (4 + -3*(-1 + sqrt(432)) + (2*sqrt(432)*-5 - sqrt(432)) + sqrt(432)))**2. -2464*sqrt(3) + 92977 Simplify 2*(3*(sqrt(1900)*2 + sqrt(1900) + 4 + 2 + 5))**2*-6. -1859868 - 71280*sqrt(19) Simplify ((5*((3 + -1 + sqrt(68) - sqrt(68)) + 5) + (3*(sqrt(68) + (2*sqrt(68) + sqrt(68) - sqrt(68))) - (sqrt(68) + sqrt(68)*-3)*2))*-1)**2. 1820*sqrt(17) + 12717 Simplify (-4*(sqrt(95)*1 + sqrt(95)) + sqrt(95) + (sqrt(95) + -5*sqrt(95))*3)/((sqrt(90)/(sqrt(12)/sqrt(6)))/sqrt(9)*-2). 19*sqrt(19)/2 Simplify -2 + -1 + (-6*(sqrt(272) - (0 + sqrt(272))*-2))**2*-2 + 5. -176254 Simplify ((-6*(sqrt(475) + (sqrt(475) + 3 - sqrt(475))) + 2 + 2)*-5)**2 + 2. 21000*sqrt(19) + 432402 Simplify (-4 + (((2*sqrt(168) + sqrt(168))/sqrt(6) - (sqrt(3388)*-4 - sqrt(28)))*3)**2)*-2. -1161208 Simplify (sqrt(300)/sqrt(5)*5 - (sqrt(3840) + sqrt(3840)*5))/((sqrt(588)*1 - sqrt(588))*-3 + (sqrt(588) - (sqrt(588) + 1*-2*sqrt(588) - sqrt(588)))). -43*sqrt(5)/21 Simplify 4 + ((-2*sqrt(114) + sqrt(114))*4 + sqrt(114)*-2*3 + sqrt(114))/(sqrt(42)/((sqrt(42) + 2*sqrt(42))/sqrt(6))). -27*sqrt(19) + 4 Simplify -1 + (1 + -2 + (sqrt(684) + 1 + -1 - (1*sqrt(684) + 3)) + 4)**2 + -5. -6 Simplify (6*1*((sqrt(76) - sqrt(76)*2) + sqrt(76))*5)/(3*2*sqrt(4) - (sqrt(36)*-2 + sqrt(4))). 0 Simplify (-1*(1 + sqrt(243)) + 0 + (sqrt(243) + 3)**2 - (-1 + -2*5*(1 + sqrt(243)))**2)*4. -96680 - 7740*sqrt(3) Simplify (sqrt(5040)*3*1)/((-2*sqrt(360))/sqrt(8))*2. -12*sqrt(7) Simplify (5*(sqrt(65) + sqrt(65)*2*6)*-6)/((sqrt(245) - (sqrt(245) + sqrt(245) + (sqrt(245) - -3*sqrt(245))))*5*-1). -78*sqrt(13)/35 Simplify -1 + -4 + (-1 + sqrt(343) + sqrt(343))*1 + (sqrt(343)*-1*-2)**2 + -1*(2 + (-2 + sqrt(343) + sqrt(343))**2 + sqrt(343)). -12 + 63*sqrt(7) Simplify (2 + (-3 + -6*(sqrt(77) - sqrt(77)*-6)/sqrt(11) + 2)*5*-4)**2. 36960*sqrt(7) + 4939684 Simplify (6*((sqrt(245) + (sqrt(245) - sqrt(245)*-2))*4 + 0 + sqrt(245)*-2 - (3*1*sqrt(245) + (0 + sqrt(245))*-3))*-4)**2. 27659520 Simplify -3*(1*(sqrt(1573)*-1 + 0)**2 + -1*(0 + sqrt(832)*-1 + sqrt(832))**2 + 0). -4719 Simplify 2*(((-4*sqrt(700)*2)**2 - sqrt(700)) + sqrt(196)/(1*sqrt(28))) + 4. -18*sqrt(7) + 89604 Simplify ((4 + -2*sqrt(176)*-1 + -1)*5*3 + 2)**2 + -3. 11280*sqrt(11) + 160606 Simplify (-1*sqrt(864)*4 - (sqrt(864) + (sqrt(864) - (sqrt(864) - sqrt(864)*-2))*4))/(3*sqrt(16)/(sqrt(40)/(sqrt(5) + sqrt(5)*-2))). -12*sqrt(3) Simplify (3*(-2 + sqrt(5))**2 + (sqrt(315) + sqrt(35))/sqrt(7) - ((sqrt(960)*2 + sqrt(960))/(-4*sqrt(36)/sqrt(3)))**2) + -4. -22 - 8*sqrt(5) Simplify (2*((sqrt(637) - (-4 + 0 + sqrt(637))) + sqrt(637)))**2 - 5*(1 + sqrt(832)/sqrt(4)). 204*sqrt(13) + 2607 Simplify -3*((-2*sqrt(65)*5)/sqrt(5) + -2) - ((4*sqrt(26)/sqrt(2) - 2*sqrt(117)) + (5*(sqrt(156) + 1*sqrt(156) + sqrt(156) + sqrt(156)))/sqrt(12)). 6 + 12*sqrt(13) Simplify -2 + (-3 + 5*(-3*2*sqrt(1053) + 5 - (6*(sqrt(1053) + 1 + sqrt(1053)) + 1 + -1 + sqrt(1053))))**2 + 1. 13680*sqrt(13) + 9503388 Simplify ((6*(sqrt(1584) - sqrt(1584)*1) - (sqrt(1584) + -4 + 0 + sqrt(1584) + sqrt(1584)) - (0 + sqrt(1584) + sqrt(1584))*6*4)*4)**2. -78336*sqrt(11) + 65920000 Simplify 4 + -6*((sqrt(120)/(sqrt(18)/sqrt(36)))/((5*sqrt(324)/sqrt(9) + sqrt(36))/sqrt(3)))**2. 2/3 Simplify (1*(1*(sqrt(68) + -2 + 0) + 2 + -5)*-6*2)**2. -2880*sqrt(17) + 13392 Simplify (3*(sqrt(1872) + (sqrt(1872) - (sqrt(1872) + -1)) + 3)*2 - 1*((-1*sqrt(156) + sqrt(156))/sqrt(4))/(sqrt(189)/sqrt(7) - sqrt(3)))**2. 3456*sqrt(13) + 67968 Simplify (-3*((-2 + (1*sqrt(72)*3 - (-2*sqrt(72) + -4)))*3 + -3))**2. 4860*sqrt(2) + 145881 Simplify ((2*(sqrt(91) + sqrt(91)*-1*-4))/(sqrt(70)/(-2*sqrt(250))))**2*1*2. 260000 Simplify 5 + (1*(4*sqrt(12)*2)/sqrt(3))/(sqrt(288)*1 + sqrt(12)/(sqrt(6)*-2)). 16*sqrt(2)/23 + 5 Simplify (((sqrt(180) - sqrt(180)*-5)/sqrt(9) - (sqrt(20) - (-2*sqrt(120))/sqrt(6))) + 1)**2 + -3. 12*sqrt(5) + 178 Simplify ((5 + (sqr
{ "pile_set_name": "DM Mathematics" }
+ 6/10 + -1? -33 Calculate ((-45)/(-72)*6)/((-165)/(-66)). 3/2 What is (4140/(-960)*4)/(-1 + (-10)/(-8))? -69 What is ((-420)/336 - (-637)/420)*6/(-4)? -2/5 (724771/1611 - 444)/(-1 - (-10)/9) 53 Evaluate (8/((-704)/276))/((-2871)/(-63162)). -69 Evaluate 12 + 20/15*72 + (-11 - 9). 88 Evaluate ((-4158)/(-38610))/(7/150). 30/13 Calculate (((-6)/(-30))/(2 - 3))/((-572)/(-4550)*35). -1/22 Calculate (46172/(-612))/(-97) + (-1324)/36. -36 Evaluate 956/14340 + 2933/105 + 0/1. 28 Evaluate ((-1)/5)/(-5*20/(-125))*(2175 + -2206). 31/4 What is the value of -15 + 678/1808*10490/153 - (-4)/102? 43/4 What is the value of 0/(-79) - (248/592)/(-31)? 1/74 (-10)/55*1218/(-812) 3/11 Evaluate ((-97801)/484)/17 + 10 - 80/(-64). -7/11 What is the value of (-1)/(1/4) - (1760/35)/(-11)? 4/7 What is the value of (-3 + -60 + -6)*1668/2502? -46 Calculate ((-13407)/98318)/(((-18)/231)/(-1)). -7/4 Calculate -62 + (-16490)/(-255) + 2 + (-188)/12. -11 (3825/3400 - 3201/1800)*36/(-42) 14/25 What is the value of (1028125/500)/(-329) - (-34)/4? 9/4 Calculate (-298274)/21975 + (-2520)/(-189). -6/25 What is (((-3520)/70)/22)/(469/(-441) + 1)? 36 Evaluate 49 + 0 + -10 + (-41 - -19)/((-16)/8). 50 40 + 21*(-76)/28 - 176/(-10) 3/5 What is 94 + 1 + (-42759 - -42713)? 49 Evaluate 130*36/(-2160) - (-3185)/1326. 4/17 (34237/730)/((-1631)/(-4660)) 134 What is 168 + -176 + 0 + -28 - (-12 - (-8 - -1))? -31 What is -42*545/9156*272/10? -68 Evaluate (10864/80 - 121)/((0 + (-6)/45)*-3). 37 Evaluate (22292 + -22302)*36/10. -36 What is (4/(-22) + 329/(-26565)*-21)*2140/(-1284)? -3/23 (-14)/203 + (0 - (-3696)/(-232)) -16 What is ((-20)/14)/(712/(-49840))? 100 What is the value of (-13462)/159 + 41 + 43? -2/3 Calculate 2/35 - 82/615*(-480)/1330. 2/19 Evaluate (22/7)/(((-8900)/2100)/89). -66 What is ((-136)/(-10))/((-14)/(-50)*1) + 2928/(-5124)? 48 (-4200)/784*7*2 -75 ((-32)/160)/((-28)/(-2)) -1/70 Evaluate (1/1)/((-79)/(-143780)*-20) - 4. -95 What is the value of (((-93684)/10989)/(-211))/((-6)/11)? -2/27 What is the value of ((-28)/(-70))/(117/(-45)) - (-704)/13? 54 (-1)/((-6)/(-1326)*-17) + -76 + 3 -60 What is the value of ((-71064)/77832)/(6/(-230))? 35 ((-5313)/(-35))/(-11) - (-1299)/4330 -27/2 (-19985)/28665 - (7 - ((-108)/(-14))/1) 2/117 What is (-47)/((-13 + 3 - (1 + -1 + -9))/1)? 47 Calculate (2504/306 - (540/2025)/(12/10)) + -8. -2/51 What is the value of (-59)/6 - (-7)/84*4? -19/2 Calculate (5/170)/((-160)/400*(4 + (-30)/8)). -5/17 What is the value of (0 - -7) + (-1947792)/276024? -3/53 Calculate ((-8)/10 - (0/(-1))/2)/((-318)/11925). 30 Evaluate (28 - 2) + 846 + -855. 17 What is ((-45)/(-27))/(1055/(-27852))? -44 (-2)/(4 - 12/(-70)*273*(-22)/264) -20 Evaluate (962/52 - 20)*(28/(-117))/(-7). -2/39 (-306)/17 + 6 + (-560)/(-14) 28 Calculate (30/195 + (-72)/(-39))*-13. -26 Evaluate (-2980)/370 + (-52)/(-962) + 1806/225. 2/75 What is the value of (6/78 + (-166)/130)*(-4 + (-88)/(-27))? 8/9 What is ((-8154)/(-1224))/3 + 54/(-24)? -1/34 What is the value of (30 - (2 - 1))/(56 - (-999)/(-18))? 58 Evaluate ((-15)/(-30))/(-1 + (-3 - -3))*(-152)/(-4). -19 Calculate 6172/(-7715)*1425/20. -57 Evaluate (-2 + (3740/(-72))/(-17))*-22*(-7)/(-77). -19/9 Evaluate ((54/(-3969))/((-12)/252))/(0 + (-12)/(-14)). 1/3 What is the value of ((2 - 3) + 13)/(((-7392)/(-64))/(-77)) - -18? 10 Evaluate (-434)/(-1072) + ((-1326)/2431 - 45/(-264)). 2/67 What is the value of (-4)/(-30) + (-145)/1650? 1/22 Evaluate 3 + (-297)/(-24) - ((79 - 40) + -23). -5/8 What is the value of 1088/56168*(-4)/((-64)/28)? 2/59 What is (14/2)/((-720643)/20628 + 35)? 108 What is the value of (-35 - -24 - (-435)/40) + (-174)/16? -11 What is ((-8)/(-20))/((-1200)/110 + 2/(-22))*-15? 6/11 ((53 - 4617/95)*5)/(((-12)/2)/2) -22/3 What is the value of (1 + 1)/(-1 + 2 - (166/(-21) - -9))? -21 Evaluate (1500/(-10350))/(6/18*1). -10/23 Evaluate 1/(-18)*-3 - 101520/2592. -39 28024/(-14074) + (-128)/14528 -2 What is the value of 33 + (-78)/(-2) + (-24 - 78)? -30 What is 3*28/6 + ((-328)/123)/((-40)/(-45))? 11 What is (((-90)/105)/(-3)*(-630)/27)/(6/81)? -90 Evaluate ((-20689)/714 - -29) + (-2)/(-180)*3. 2/35 ((-14)/(-301))/((-84208)/23822) -1/76 Evaluate (77/(-7))/(5/12*(-824)/3090) - -1. 100 Calculate (-268)/10 - (65/52)/(5/(-48)). -74/5 Calculate (-11 - (27 - 37 - 64/(-4)))*1 - -5. -12 What is the value of (-1 - (-3 + 1)) + (-18 - (12 - (-1104)/(-36)))? 5/3 (8 + 2/(1808/(-7240)))/((-116)/(-8) + -14) -2/113 4/9 + ((-25991)/(-711) - -32) 69 ((-7)/((-28)/16))/(-5 + 225/9) 1/5 Calculate 92/(-3)*(-6 + 630/120). 23 What is the value of (15 + (-1495)/92)*(-42)/(-35)*-1? 3/2 (324/891)/(-3 - -1) + (2324/(-44) - -4) -49 Evaluate (-28)/2*882/(-315)*880/(-15092). -16/7 Evaluate -30 + (-5)/(-21)*(-217260)/(-1700). 3/7 What is the value of (2 - (-2)/(2 + -4))*(1930 + -1927)? 3 What is (-130)/4*7/(105/(-10)) + 3766/(-5649)? 21 Evaluate (((-280)/12)/7)/(1580/1185). -5/2 What is (-4287335)/(-230750) - (-74)/(-4)? 2/25 20*22/165*((-759)/(-22) - 12) 60 What is the value of -2 - (-354)/77 - 174996/34027? -28/11 What is ((-8)/(7/(924/33)))/(-52)? 8/13 Calculate ((-2)/(-28))/((-132)/264). -1/7 What is (-666)/(-18408) + (-164)/9676? 1/52 What is the value of 7 - (10 + 2501/(-861))? -2/21 Calculate (-1 + 0)/((-3)/3)*61914/(-1821). -34 (-20)/15*8*24/640 -2/5 Calculate (-1 + 4)*(-160)/(240/15)*(-14)/(-21). -20 What is (-18395)/(-3640) - 12/(-32)? 38/7 What is the value of ((-5670)/63)/(-45)*(-1)/93? -2/93 Evaluate (-11)/(100068/1550 + -65). 25 (12/34)/((-27306)/206312) -8/3 Calculate 8 - (-4 - 0) - ((-4)/(-28) - 6072/(-77)). -67 What is 1/((-751)/50 - 6915/(-461))? -50 Calculate ((-568)/4260)/((-3)/(-390)). -52/3 (81 + 24035/(-275))/(16/(-70)) 28 (-2060)/9270 - 519/(-27) 19 Calculate (74970/3927)/(40/264). 126 20/10 + 64/(-52) 10/13 Calculate (6*(14 + 459/(-34)))/((-63)/(-117)). 39/7 Evaluate (2/(-55))/(1280/666400) + 19. 3/44 What is (-70)/8760*7/((-343)/56)? 2/219 What is ((-8)/(-644))/(((-64)/42)/(-16))? 3/23 Evaluate (1100/75 - (-105)/(-28)*4)*219. -73 Calculate ((-11)/(-14) - 1) + (16072/(-112) - -145). 9/7 3 - 1210/(-30) - (-10)/15 44 What is (117/(-468))/(4 + (-70)/24)? -3/13 Calculate (59 - (-162300)/(-2750))*-20. 4/11 What is (-72)/3 - (-12 + (24 - 25))? -11 What is (-2098)/(-131) + -45 + (-20 - (-38 + -11))? 2/131 What is the value of (1242/(-828))/(-6*(-1)/92)? -23 What is the value of 27/14 + (4524/(-182))/58 + 61/(-46)? 4/23 What is ((1 - (-49)/(-35))/(-12))/((-3)/(-12))? 2/15 -19 - ((-3)/18)/(113/(-23730)) -54 Calculate (-488 - -491)*14/(-18). -7/3 Calculate (-15)/1 - (434313/(-24552) + 2/31). 21/8 Evaluate 127168/27818 - (0 - 12/(-3)). 4/7 What is the value of (-574)/(-63) + ((-72)/(-32))/((-306)/48 + 6)? 28/9 What is the value of (-15968)/9328 - -1*(-180)/(-110)? -4/53 (-28)/(-1078)*(-18606)/(-3987) 4/33 (9/12)/((9/(-14))/(9672/(-2821))) 4 What is 3304/944*72/147? 12/7 Calculate (-1 + 3)/(-2)*41 - (-275 + 276). -42 What is the value of ((-102175)/67)/(-61) - 2*(-5246)/(-420)? 2/105 What is (1*42)/((-18214)/15612)? -36 (1836/(-867))/((-37)/629) 36 What is the value of (-176)/3 + (-33)/297*21? -61 What is (-590)/2950*(1750/(-980) + (-3)/(-2))? 2/35 What is -12*(-7)/378 - (5 - 94/(-18))? -10 What is the value of 20/(-75) - 3591/39690? -5/14 (-201)/402 - (-9)/2 - ((-66)/(-10) + -1) -8/5 Evaluate ((-1)/2)/(33/66) - ((2 - 56) + 2). 51 Calculate (-3)/48*1148/246 - (-2 + 55/40). 1/3 (((-1)/(-3*1))/((-6645)/(-3987)))/1*110 22 -25*((-80)/(-200))/((-152)/16) 20/19 Evaluate (111 + -114)/(75/130 + 0). -26/5 What is the value of (-51 + 53)/(1 + 6/3) + 280/(-438)? 2/73 What is the value of ((-19257)/(-7336))/(1/8*1)? 21 Evaluate 6975/(-44175)*(-19)/62. 3/62 What is the value of 11/6*876/(-14454) + (-449)/9? -50 Evaluate 752/2397*189/28*(-3)/9. -12/17 Evaluate 79/(7110/124) + 72/(-45). -2/9 Evaluate (-902)/(-984)*-3*(-6)/20 + 1/(-5). 5/8 Calculate ((-34)/52 + (5 - (-630)/(-130)))*58. -29 What is (-51)/(-6)*((-35 - -34) + 11 + -14)? -34 (-3)/(9/21) + 385/2310*(-48)/1 -15 What is (-770)/1400*70*54/(-63)? 33 What is (-14 - -12) + 24 + -18? 4 What is 10 - ((-2)/6)/(8/5640*5)? 57 Calculate (-11)/165*(508 + 47). -37 Evaluate 154/(5852/(-57)) - 14/(-12). -1/3 (-18)/(-10) - 4734766/2398670 -4/23 Evaluate ((-8)/96*51)/(-11*(-11)/(-484)). 17 Calculate 2*(561/22 - 10)*9/(-4 - -7).
{ "pile_set_name": "DM Mathematics" }
(r) = r. Let n = 21 + -35. Let a(q) = n*b(q) + 2*y(q). Determine a(t(p)). -4*p Let n(o) = o. Let c(a) = a + 147. Determine n(c(w)). w + 147 Let o(u) = 24019*u**2. Let a(v) = 2*v**2. Give a(o(x)). 1153824722*x**4 Let n(h) = -23*h**2. Let j(l) = -6*l + 5. Let p(w) = 5*w - 4. Let m(o) = -4*j(o) - 5*p(o). What is n(m(y))? -23*y**2 Let t(u) = -3*u. Let x(w) be the third derivative of -11*w**5/60 - 6*w**2. Give x(t(o)). -99*o**2 Let t(r) = -r**2. Let z(a) = 3*a**2. Let s(c) = -9*t(c) - 2*z(c). Let p(u) = u. Calculate s(p(g)). 3*g**2 Let q(k) = -36*k. Let a(n) = -3*n. Determine q(a(g)). 108*g Let p(c) = 20*c**2. Let n(q) = 19*q - 25*q + 4*q. What is p(n(v))? 80*v**2 Let x(z) be the second derivative of z**3/2 - 2*z. Let h(w) be the second derivative of w**3/3 - 2*w. Give h(x(r)). 6*r Let b(d) = 3*d - 3*d + 2*d. Let m(u) = 1859*u - 1859*u - 2*u**2. Calculate b(m(w)). -4*w**2 Let h(a) = -a. Let y be (2/2)/((-4)/(-8)). Let v(m) = m**2 - 4*m**y + 0*m**2. Determine v(h(x)). -3*x**2 Let t = 3 + -3. Let j(o) be the third derivative of 0 + 0*o - 1/12*o**4 - o**2 + t*o**3. Let w(f) = f**2. Give w(j(y)). 4*y**2 Let m(n) = -n**2. Let r(y) = -2211*y**2. Calculate r(m(v)). -2211*v**4 Let t(o) = -4*o**2. Let g(z) = -286*z. Give g(t(b)). 1144*b**2 Let u(l) = 56*l**2. Let i(h) = -5*h. Give u(i(t)). 1400*t**2 Let s(l) = -14*l. Let m(x) be the first derivative of -x**2/2 - 23. Give m(s(p)). 14*p Let i(t) = -3*t. Let k(b) = 340 - 2*b**2 - 340. What is i(k(f))? 6*f**2 Let n(t) = t. Let p(i) = 3387*i**2. What is n(p(b))? 3387*b**2 Let f(x) = -12*x. Suppose 2*c - 5 = 3*j - 21, -5*j + 27 = -3*c. Let v(a) = a**2 - 6*a**2 + a**2 + j*a**2. Give v(f(t)). 288*t**2 Let v(q) = -2*q + 0*q - q. Let c(j) be the third derivative of -j**5/30 + 20*j**2. Calculate c(v(f)). -18*f**2 Let t(v) = -4*v - 53. Let x(b) = 4*b + 4. What is t(x(m))? -16*m - 69 Let w(a) be the first derivative of a**4/4 - 3*a + 3. Let p(l) be the first derivative of w(l). Let r(b) be the first derivative of -b**2 - 3. What is p(r(m))? 12*m**2 Let k(p) = -9*p - 5. Let d(j) = -4*j - 2. Let v(n) = -5*d(n) + 2*k(n). Let g(c) = 21*c. Calculate v(g(l)). 42*l Let a(z) = -z**2. Let g(r) = -11*r**2 - 30*r. Calculate g(a(k)). -11*k**4 + 30*k**2 Let k(t) = 12*t. Let o(l) = l**2 + l - 1. Let v(s) = 4*s**2 + 3*s - 3. Let f(y) = -6*o(y) + 2*v(y). Calculate k(f(r)). 24*r**2 Suppose 3*x = 4*i - 38, 2*i - 3 = i + 4*x. Let n(p) = -19*p + 10*p + i*p. Let a(t) = 6*t**2. Give a(n(q)). 24*q**2 Let d(w) = -2*w. Let z(k) = k + 1. Let v(x) = 2. Suppose -2*q + 2 = 2*m, 0 = -q + m - 3 + 4. Let t(r) = q*v(r) - 2*z(r). Determine d(t(h)). 4*h Let m(x) = -2*x. Let b be 0 + 8/(0 - 2). Let d(c) = c. Let n(k) = b*m(k) - 5*d(k). Let t(v) be the third derivative of -v**4/24 - v**2. Give n(t(z)). -3*z Let k(g) = -4*g. Suppose -20 = -2*n + n. Let v(d) = 20 - n + 2*d**2. Determine k(v(b)). -8*b**2 Let t(u) = 2*u**2. Let w(a) = 6*a**2 + 8*a. Let c(h) = -6*h**2 - 7*h. Let i(y) = 3*c(y) + 2*w(y). Calculate i(t(k)). -24*k**4 - 10*k**2 Let g(d) = -29*d. Let t(b) = 3*b. Determine g(t(v)). -87*v Let q(i) = 2*i**2. Let f(d) = -4605*d**2. Determine f(q(y)). -18420*y**4 Let b(x) = 2*x**2. Let h(g) = -14*g - 17*g + 5*g. Calculate b(h(k)). 1352*k**2 Suppose -5*d - 29 = -2*v - v, -4*v + 5*d = -32. Let q(p) = -v*p**2 + 0*p + 6*p - 6*p. Let m(f) = 2*f. Give q(m(w)). -12*w**2 Let c(a) = 31*a. Let o(l) = 3*l + 26. What is c(o(y))? 93*y + 806 Let g(v) be the third derivative of v**5/5 + 41*v**2. Let r(h) be the third derivative of h**4/24 + h**2. Give g(r(s)). 12*s**2 Let k(a) = -1380*a**2. Let w(m) = 2*m**2. What is k(w(i))? -5520*i**4 Let q(f) = 5*f**2. Let t(a) = 2*a**2 - 28. What is q(t(v))? 20*v**4 - 560*v**2 + 3920 Let p(z) = z. Let f(h) = 5*h. Let c(o) = -f(o) + 4*p(o). Let x(m) = m**2. Determine c(x(u)). -u**2 Let w(t) be the second derivative of t**5/30 + t**3 - 7*t. Let v(l) be the second derivative of w(l). Let z(x) = 2*x**2. Determine z(v(f)). 32*f**2 Let b(j) = -j - 5. Let x be (-1)/(3 + (-15)/6). Let z(v) = -2. Let y(g) = x*b(g) + 5*z(g). Let c(a) = a. What is c(y(s))? 2*s Let o(j) = 4*j. Let v(t) = -12*t**2 + 2*t. Determine v(o(d)). -192*d**2 + 8*d Let i(b) be the third derivative of -b**4/24 - b**2. Let u(z) = -z + 171 - 171. What is i(u(k))? k Let m(f) be the first derivative of f**3/3 - 7*f + 7. Let l(x) be the first derivative of m(x). Let u(q) = 4 - 4 + 2*q. Determine u(l(z)). 4*z Let x(r) = -630*r. Let g(f) = 2*f. Calculate x(g(q)). -1260*q Let a(z) = 4*z**2 + 30. Let d(r) = -8*r. Determine d(a(n)). -32*n**2 - 240 Let x(y) = -36*y**2. Let j(z) = -25*z**2. Calculate x(j(k)). -22500*k**4 Let r(y) = 3*y + 61. Let j(p) = -8*p. Calculate r(j(k)). -24*k + 61 Let t(z) be the first derivative of 3*z**3 + 3*z**2/2 + 5. Let m(c) = c**2 + c. Let k(i) = -9*m(i) + 3*t(i). Let n(p) = -p**2. Calculate k(n(f)). 18*f**4 Let p(s) = 10*s**2. Let c(q) be the first derivative of -q**3 + 8. Calculate p(c(f)). 90*f**4 Let d(t) = -197*t**2 + t. Let o(w) = 34*w. Calculate d(o(n)). -227732*n**2 + 34*n Let y(a) = 8*a**2 - 25*a. Let t(r) = -r. Give t(y(i)). -8*i**2 + 25*i Let o(r) = -r**2. Let j(y) = y**2 + 5*y + 4. Let w be j(-4). Suppose 0 = 3*p - 9 - 6. Let b(c) = w*c**2 + p*c**2 - 2*c**2. Give o(b(d)). -9*d**4 Let r(v) = 100*v. Let i(p) = -2*p**2. What is i(r(m))? -20000*m**2 Suppose 2*z = -3*x + 7, 3*x + 4*z = -0*z + 5. Let y(j) be the second derivative of 1/3*j**x - 2*j + 0 + 0*j**2. Let g(f) = -3*f**2. Give g(y(s)). -12*s**2 Let z(s) = -2*s. Let a(v) = 31 - 4*v**2 - 31. Give a(z(y)). -16*y**2 Let n(p) = 2*p**2. Let l(u) be the second derivative of u**4/12 + u**3/3 + u**2 - 9*u. Let s(m) = 3*m**2 + 7*m + 7. Let t(z) = -7*l(z) + 2*s(z). Give t(n(v)). -4*v**4 Let w(j) = 3*j. Let q(t) = 1463*t**2. Calculate q(w(z)). 13167*z**2 Let p(f) = f**2. Let c(b) be the second derivative of b**6/720 + b**4/4 - b. Let x(u) be the third derivative of c(u). Calculate p(x(o)). o**2 Let m(r) = -r**2 + 3. Let w(j) = -10. Let n(a) = 3. Let s(o) = 7*n(o) + 2*w(o). Let y(b) = -m(b) + 3*s(b). Let p(z) = -7*z**2. Calculate p(y(l)). -7*l**4 Let y be ((-2)/5)/((-2)/10). Let a(l) = 0*l**2 - 2*l**y - 2*l**2. Let k(b) = -b**2. Determine a(k(p)). -4*p**4 Let s(m) = 3*m**2 + 3*m**2 - 5*m**2. Let j(t) = 1. Let a(f) = f + 6. Let r(d) = -a(d) + 6*j(d). What is r(s(u))? -u**2 Let d(t) = t**2 - t. Let v(k) = -2*k**2 + 4*k. Let f(x) = -4*d(x) - v(x). Let z(j) = 6*j**2. Calculate z(f(a)). 24*a**4 Let d(q) = -8*q - 19*q - 5*q. Let j(w) = 2*w. Give d(j(t)). -64*t Let y(t) = 297*t - 297*t - t**2. Let i(f) = -7*f**2. Calculate y(i(h)). -49*h**4 Let c(n) = 10*n. Let r(p) = 11*p. What is c(r(f))? 110*f Let p = -4 + 10. Suppose -35 = -p*v + v. Let q(j) = -7*j + j**2 + v*j. Let y(m) = m**2. Determine q(y(f)). f**4 Let b(x) = -7*x. Let z(j) = 40*j**2 - 16. Calculate z(b(o)). 1960*o**2 - 16 Let i(d) be the third derivative of -1/12*d**4 + 2*d**2 + 0*d**3 + 0 + 0*d. Let b(t) = -6 + 18 + t - 12. Give b(i(c)). -2*c Let r(s) = -1177*s**2. Let l(x) = -16*x**2. Calculate r(l(z)). -301312*z**4 Let c(d) = 5*d. Let r(o) = -6 - 2*o**2 + 0 + 6. Give r(c(p)). -50*p**2 Let h(i) = 2*i**2 + 5*i + 3. Let y be h(-3). Let c(g) = g**2. Let u(f) = -4*f**2. Let l(x) = y*u(x) + 22*c(x). Let n(a) = 0 + 0 + 4*a - a. What is l(n(s))? -18*s**2 Let l(s) = -s**2 + s - 1. Let r(a) be the first derivative of -3*a + 3/2*a**2 - 1/3*a**3 + 1. Let t(m) = 3*l(m) - r(m). Let c(k) = 2*k. Calculate t(c(u)). -8*u**2 Let p(h) = -11*h**2 + 36*h**2 - 29*h**2. Let r be ((-10)/(-4))/((-1)/(-2)). Let l(n) = -2*n + 5 - r. Give p(l(j)). -16*j**2 Let h(p) = -p. Let b(i) = 30*i. Let j(c) = -b(c) - 25*h(c). Let r(y) be the second derivative of -y**3/3 - 3*y. Give j(r(t)). 10*t Let q(w) = -37*w - 30*w + 68*w. Let k(b) be the second derivative of b**4/12 + b. Determine q(k(l)). l**2 Let i(n) = -4*n**2. Let y(o) be the first derivative of -o**5/60 - o**3/3 + 5. Let z(x) be the third derivative of y(x). Give i(z(a)). -16*a**2 Let w(r) be the second derivative of -r**3/3 - 5*r. Let u(f) = 2*f + 18. Let a(o) = -1. Let g(j) = 36*a(j) + 2*u(j). What is w(g(b))? -8*b Let w(c) = 7*c + 6. Let f(u) = 6*u + 5. Let h(r) = -6*f(r) + 5*w(r). Let p(g) be the third derivative of -g**5/30 - 2*g**2. Calculate h(p(s)). 2*s**2 Let q(u) be the third derivative of 17*u**4/24 - 7*u**2. L
{ "pile_set_name": "DM Mathematics" }
nder when 134 is divided by 35? 29 Calculate the remainder when 250 is divided by 16. 10 What is the remainder when 193 is divided by 10? 3 What is the remainder when 85 is divided by 11? 8 What is the remainder when 318 is divided by 30? 18 What is the remainder when 561 is divided by 9? 3 Calculate the remainder when 228 is divided by 50. 28 What is the remainder when 2725 is divided by 27? 25 Calculate the remainder when 145 is divided by 37. 34 What is the remainder when 1153 is divided by 351? 100 What is the remainder when 1411 is divided by 236? 231 What is the remainder when 83 is divided by 42? 41 Calculate the remainder when 537 is divided by 108. 105 What is the remainder when 5038 is divided by 144? 142 What is the remainder when 167 is divided by 28? 27 Calculate the remainder when 7129 is divided by 230. 229 What is the remainder when 3554 is divided by 272? 18 What is the remainder when 133 is divided by 47? 39 What is the remainder when 197 is divided by 68? 61 Calculate the remainder when 755 is divided by 152. 147 Calculate the remainder when 29 is divided by 14. 1 What is the remainder when 941 is divided by 34? 23 Calculate the remainder when 54 is divided by 11. 10 Calculate the remainder when 32 is divided by 11. 10 Calculate the remainder when 292 is divided by 147. 145 What is the remainder when 166 is divided by 54? 4 Calculate the remainder when 120 is divided by 30. 0 What is the remainder when 331 is divided by 29? 12 Calculate the remainder when 374 is divided by 20. 14 What is the remainder when 656 is divided by 328? 0 What is the remainder when 229 is divided by 70? 19 Calculate the remainder when 330 is divided by 26. 18 Calculate the remainder when 97 is divided by 9. 7 What is the remainder when 346 is divided by 40? 26 What is the remainder when 448 is divided by 123? 79 What is the remainder when 58 is divided by 15? 13 Calculate the remainder when 159 is divided by 153. 6 What is the remainder when 162 is divided by 23? 1 Calculate the remainder when 316 is divided by 111. 94 What is the remainder when 692 is divided by 12? 8 Calculate the remainder when 143 is divided by 89. 54 Calculate the remainder when 92 is divided by 27. 11 What is the remainder when 32 is divided by 5? 2 What is the remainder when 807 is divided by 46? 25 Calculate the remainder when 10102 is divided by 163. 159 What is the remainder when 61 is divided by 37? 24 Calculate the remainder when 1855 is divided by 207. 199 What is the remainder when 425 is divided by 37? 18 Calculate the remainder when 2224 is divided by 21. 19 Calculate the remainder when 2740 is divided by 161. 3 What is the remainder when 202 is divided by 100? 2 Calculate the remainder when 2453 is divided by 45. 23 What is the remainder when 82 is divided by 12? 10 What is the remainder when 1493 is divided by 166? 165 What is the remainder when 76 is divided by 16? 12 Calculate the remainder when 3932 is divided by 19. 18 What is the remainder when 49 is divided by 3? 1 What is the remainder when 1212 is divided by 301? 8 Calculate the remainder when 65 is divided by 34. 31 Calculate the remainder when 2181 is divided by 115. 111 What is the remainder when 522 is divided by 57? 9 Calculate the remainder when 6129 is divided by 28. 25 What is the remainder when 391 is divided by 66? 61 What is the remainder when 313 is divided by 15? 13 What is the remainder when 442 is divided by 87? 7 Calculate the remainder when 133 is divided by 21. 7 What is the remainder when 93 is divided by 8? 5 What is the remainder when 93 is divided by 12? 9 Calculate the remainder when 174 is divided by 25. 24 Calculate the remainder when 157 is divided by 103. 54 Calculate the remainder when 689 is divided by 97. 10 What is the remainder when 2474 is divided by 75? 74 Calculate the remainder when 133 is divided by 91. 42 What is the remainder when 1259 is divided by 60? 59 Calculate the remainder when 565 is divided by 96. 85 Calculate the remainder when 164 is divided by 55. 54 Calculate the remainder when 177 is divided by 10. 7 What is the remainder when 108 is divided by 8? 4 Calculate the remainder when 27 is divided by 14. 13 What is the remainder when 125 is divided by 42? 41 What is the remainder when 123 is divided by 40? 3 What is the remainder when 454 is divided by 36? 22 What is the remainder when 41 is divided by 22? 19 Calculate the remainder when 5636 is divided by 2811. 14 What is the remainder when 1621 is divided by 79? 41 Calculate the remainder when 25599 is divided by 34. 31 What is the remainder when 2678 is divided by 669? 2 What is the remainder when 111 is divided by 30? 21 Calculate the remainder when 138 is divided by 17. 2 What is the remainder when 382 is divided by 48? 46 What is the remainder when 466 is divided by 221? 24 Calculate the remainder when 212 is divided by 132. 80 What is the remainder when 566 is divided by 185? 11 Calculate the remainder when 2619 is divided by 20. 19 What is the remainder when 41 is divided by 7? 6 Calculate the remainder when 79 is divided by 30. 19 Calculate the remainder when 411 is divided by 20. 11 Calculate the remainder when 1502 is divided by 304. 286 What is the remainder when 307 is divided by 81? 64 Calculate the remainder when 303 is divided by 131. 41 Calculate the remainder when 4005 is divided by 4. 1 What is the remainder when 1122 is divided by 126? 114 What is the remainder when 974 is divided by 122? 120 What is the remainder when 166 is divided by 8? 6 What is the remainder when 332 is divided by 48? 44 Calculate the remainder when 78 is divided by 21. 15 What is the remainder when 201 is divided by 103? 98 Calculate the remainder when 62 is divided by 35. 27 Calculate the remainder when 76 is divided by 29. 18 Calculate the remainder when 67 is divided by 40. 27 What is the remainder when 175 is divided by 3? 1 What is the remainder when 48 is divided by 29? 19 What is the remainder when 37 is divided by 22? 15 What is the remainder when 81 is divided by 21? 18 What is the remainder when 703 is divided by 16? 15 Calculate the remainder when 108 is divided by 38. 32 Calculate the remainder when 162 is divided by 35. 22 What is the remainder when 24 is divided by 13? 11 Calculate the remainder when 362 is divided by 21. 5 What is the remainder when 168 is divided by 38? 16 Calculate the remainder when 2833 is divided by 35. 33 What is the remainder when 121 is divided by 25? 21 What is the remainder when 298 is divided by 50? 48 Calculate the remainder when 103 is divided by 44. 15 Calculate the remainder when 150 is divided by 68. 14 Calculate the remainder when 83 is divided by 79. 4 What is the remainder when 542 is divided by 15? 2 What is the remainder when 284 is divided by 48? 44 What is the remainder when 10 is divided by 5? 0 What is the remainder when 818 is divided by 52? 38 Calculate the remainder when 1113 is divided by 315. 168 What is the remainder when 7949 is divided by 265? 264 What is the remainder when 520 is divided by 250? 20 Calculate the remainder when 194 is divided by 59. 17 What is the remainder when 2359 is divided by 183? 163 What is the remainder when 139 is divided by 65? 9 Calculate the remainder when 371 is divided by 17. 14 What is the remainder when 298 is divided by 50? 48 Calculate the remainder when 420 is divided by 205. 10 What is the remainder when 2889 is divided by 1443? 3 What is the remainder when 730 is divided by 7? 2 What is the remainder when 123 is divided by 45? 33 What is the remainder when 10712 is divided by 3567? 11 Calculate the remainder when 419 is divided by 12. 11 What is the remainder when 71 is divided by 6? 5 What is the remainder when 110 is divided by 23? 18 What is the remainder when 2846 is divided by 40? 6 What is the remainder when 716 is divided by 45? 41 Calculate the remainder when 194 is divided by 49. 47 Calculate the remainder when 464 is divided by 6. 2 Calculate the remainder when 1702 is divided by 61. 55 Calculate the remainder when 839 is divided by 416. 7 What is the remainder when 589 is divided by 16? 13 What is the remainder when 390 is divided by 14? 12 What is the remainder when 83 is divided by 4? 3 What is the r
{ "pile_set_name": "DM Mathematics" }
cond derivative of -3*d**5 - 1241531*d**2 - 2924191*d wrt d? -60*d**3 - 2483062 What is the third derivative of 101293635*k**4 + 1454273*k**2 + 164 wrt k? 2431047240*k Find the third derivative of -2*b**3*q**2*y - 29733695*b**3*q*y**3 + 53*b**2*q**2*y**3 - 2*b**2*q**2*y - 9*b**2*q*y**2 - 46*b*q**2*y**2 - 34*q*y wrt b. -12*q**2*y - 178402170*q*y**3 What is the derivative of 8890*j**4 + 2365*j**2*m - 129*m - 119704 wrt j? 35560*j**3 + 4730*j*m What is the third derivative of 426287988*g**4 - 3431110*g**2 - 45*g? 10230911712*g What is the derivative of 462870136*n**3 - 565198146? 1388610408*n**2 What is the first derivative of -13887*w**2 - 2465*w + 10963979 wrt w? -27774*w - 2465 What is the third derivative of 105916305*i**3 - 97344*i**2 + 2*i - 135? 635497830 Find the third derivative of -42108*h**2*q**3 - 25028*h**2*q - 16*h*q**2 + 16*q**6 wrt q. -252648*h**2 + 1920*q**3 What is the second derivative of 2201*g**4 - 2*g**3 + 200*g**2 + 3*g + 1830254 wrt g? 26412*g**2 - 12*g + 400 What is the derivative of 6653*i**4 - i**2 - 132*i + 73157602? 26612*i**3 - 2*i - 132 Find the third derivative of 31893906*i**6 - 2314*i**2 - i - 131. 3827268720*i**3 What is the second derivative of -36*m**4 + 247384*m**3 - 3*m**2 - 2497528*m - 14? -432*m**2 + 1484304*m - 6 Find the third derivative of 250*c**3*h**2*s + 2837*c**3*s + 5*c**2*h**2*s - 68*c**2*s + 114*c*h*s + 4*h**2 wrt c. 1500*h**2*s + 17022*s What is the third derivative of -93*l**4 + 3230245*l**3 - 806759456*l**2 wrt l? -2232*l + 19381470 What is the derivative of 1793734*j**2*k + 4*j**2 - 4074741*k + 2 wrt j? 3587468*j*k + 8*j Differentiate 207795*s**3 + s**2 + 4*s - 918118 wrt s. 623385*s**2 + 2*s + 4 Find the second derivative of 11499*i*s**2 + 42495124*i + 7058*s**2 + 9*s wrt s. 22998*i + 14116 Differentiate 3*u*v**2 - 118016*u*v - 1527131583*u + 52*v**2 wrt v. 6*u*v - 118016*u + 104*v Find the third derivative of -6833595*b**5 - 6*b**4 + 60420152*b**2 wrt b. -410015700*b**2 - 144*b What is the second derivative of -2077996*h**3 - 3*h**2 + 12288*h - 56? -12467976*h - 6 What is the first derivative of -168*a*n*q**2 - 714*a*n*q - a*q**3 - a*q - 90*a + 2*n*q**3 + 6292 wrt n? -168*a*q**2 - 714*a*q + 2*q**3 Find the first derivative of -28284394*w - 209239768 wrt w. -28284394 What is the derivative of -97933*q**2 - 8*q - 14363766? -195866*q - 8 Find the third derivative of 9320597*c**5 + 21*c**2 + 9584*c + 9. 559235820*c**2 What is the second derivative of 1046832053*x**3 - 143752233*x? 6280992318*x What is the second derivative of -31*p**5 - 432293*p**2 - 395682*p + 331 wrt p? -620*p**3 - 864586 What is the third derivative of 28*a**5 - 370*a**4 - 157*a**3 - a**2 + 106*a + 42216 wrt a? 1680*a**2 - 8880*a - 942 Find the third derivative of 212389367*l**3 - 72207188*l**2. 1274336202 What is the second derivative of 4*g**5 - 260604*g**4*y**3 - 2*g*y**3 + 2*g*y**2 + 2*y**3 + 6*y + 361 wrt g? 80*g**3 - 3127248*g**2*y**3 Find the second derivative of -3006*d**5 + 25*d**3 + 3*d + 140971. -60120*d**3 + 150*d What is the second derivative of -3307289*k**4 + 2*k**3 + k**2 + 387074*k? -39687468*k**2 + 12*k + 2 What is the third derivative of 2*d**3*i**3*s + 2*d**3*i**2*s - 5*d**3*i**2 - 511*d**2*i - 120268782*d*i**3*s + 5*d*i**2*s - 4*d*s - 17*d wrt i? 12*d**3*s - 721612692*d*s What is the third derivative of 2*c**3*m**2 - 10720*c**3*m + 75*c**3 + 2*c**2 - 1281*c*m**2 - 33*c*m + 12*c + 9*m wrt c? 12*m**2 - 64320*m + 450 What is the first derivative of -1934636*z**3 + 3*z + 18107284? -5803908*z**2 + 3 Differentiate 32943871*k**2 + 60360348 with respect to k. 65887742*k What is the second derivative of -8*c**2*y**2 - 52188*c**2 + 11*c*y**2 + 2*c*y - y**2 + 274*y + 8 wrt c? -16*y**2 - 104376 What is the second derivative of 14*w**3 + 11748699*w**2 + 553898*w - 126? 84*w + 23497398 What is the second derivative of 643173*w**5 - 96*w**3 - 115920775*w wrt w? 12863460*w**3 - 576*w Find the first derivative of -1028888332*u**2 + 953947653. -2057776664*u What is the derivative of 802068469*f**4 + 372572086? 3208273876*f**3 Find the first derivative of 31143*f**3*q**3 - 15*f**3*q + 2*f**3 - 34*f**2 - 28432*f - 4 wrt q. 93429*f**3*q**2 - 15*f**3 Find the third derivative of 126684972*k**3 + 3*k**2 + 21612816*k. 760109832 Differentiate 3523*a*t**2 + 18*a*t + a - 5*t**2 - 16*t - 6807 with respect to a. 3523*t**2 + 18*t + 1 What is the second derivative of 3018774*z**5 - 28*z**4 + 121789126*z? 60375480*z**3 - 336*z**2 Find the third derivative of -305*l*p**3 - 680730849*l*p**2 - 551663*p**3 wrt p. -1830*l - 3309978 What is the second derivative of 7317994*r**2 - 216966*r - 15 wrt r? 14635988 Differentiate 5*s**4 + 86*s**2 + 51060*s + 243541977 wrt s. 20*s**3 + 172*s + 51060 Find the second derivative of 9868936*i**3 + 7*i - 12037. 59213616*i What is the first derivative of -5475*i**3 + 181*i + 5101903? -16425*i**2 + 181 What is the second derivative of -293705*s**3 + s**2 + 8593800*s? -1762230*s + 2 Find the second derivative of 4005*g**2*s**2 - 46693*g**2*s - 1449*g**2 + 1221*g*s**2 + 2*s**3 wrt s. 8010*g**2 + 2442*g + 12*s Find the second derivative of -17*f**2*h**3 - 1332*f**2*h + 76*f**2 + 16*f + 1260*h**3 wrt f. -34*h**3 - 2664*h + 152 What is the second derivative of 145122841*g**2*r + 62*g*r - 2*g + 7*r - 26862 wrt g? 290245682*r Find the first derivative of b**2*h - 4932436*b**2 - 2*b*h + 61672110*h wrt b. 2*b*h - 9864872*b - 2*h Differentiate 31462*r**3 + 82*r**2 - 1223970 with respect to r. 94386*r**2 + 164*r What is the derivative of -637873158*d**2*p**2 - 249431419*p**2 wrt d? -1275746316*d*p**2 What is the derivative of -d**4 + 2856312*d - 9987006 wrt d? -4*d**3 + 2856312 What is the third derivative of 640700780*u**3 + 5941*u**2 - u + 13287? 3844204680 Find the second derivative of -20271671*q**4 - 1231063*q wrt q. -243260052*q**2 Find the first derivative of 344*o**3 - 17263*o**2 - 15047525. 1032*o**2 - 34526*o What is the first derivative of -1147722*l + 6048804? -1147722 What is the first derivative of 12532996*q**3 - 3044728 wrt q? 37598988*q**2 What is the third derivative of -155538546*u**3 + u**2 - 3744225*u + 5 wrt u? -933231276 Differentiate -4*k**2 - 3527494*k - 21381588. -8*k - 3527494 What is the third derivative of 914*a*x**3 - 5*a*x**2 + a*x - 1388*x**4 + 8*x**2 - 9500 wrt x? 5484*a - 33312*x What is the derivative of 131081*d**2*h*s*z + 64*d**2*s*z**2 - 2*d**2*z**2 - 6*d**2*z + 5*d*h - h*z**2 + 2*h - 1966 wrt s? 131081*d**2*h*z + 64*d**2*z**2 What is the derivative of -121568493*w**2 - 257956527 wrt w? -243136986*w What is the third derivative of -8*d**3*q**3 + d**3*q**2 + 103*d**3*q + 10773*d**2*q**3 - 898*d*q**2 - 2*d*q + 4*q**3 wrt q? -48*d**3 + 64638*d**2 + 24 Find the first derivative of 13*v**2 + 42880558*v - 718531024. 26*v + 42880558 What is the third derivative of 12848*i**4*y - i**3*y - 32*i**3 + 20*i**2*y - 7*i**2 + 89*i*y - 2*y + 2 wrt i? 308352*i*y - 6*y - 192 What is the second derivative of 59130873*u**3 + 5207271*u - 4 wrt u? 354785238*u Find the third derivative of -127988096*n**5 - 26881283*n**2 wrt n. -7679285760*n**2 Find the third derivative of -992523484*y**5 + y**2 + 20*y + 239526. -59551409040*y**2 What is the third derivative of 8971507*s**3 - 4*s**2 - 2133*s + 656 wrt s? 53829042 What is the second derivative of -813411657*y**3 - 701717725*y? -4880469942*y Find the third derivative of -60777487*k**4 - 24*k**2 - 101474*k - 1. -1458659688*k What is the first derivative of -116498*n**2 + 19*n - 92388672? -232996*n + 19 What is the third derivative of -3*a**5 - a**4 - 634722*a**3 + 2*a**2 - 1805*a - 10 wrt a? -180*a**2 - 24*a - 3808332 Find the first derivative of 15*l**3*o - 33*l**3 - 1643306*l**2*o + 22545*l**2 - 2 wrt o. 15*l**3 - 1643306*l**2 Find the first derivative of 48459*m*n**2 + 2*m*n - 5840535*m + 3*n**3 wrt n. 96918*m*n + 2*m + 9*n**2 Find the first derivative of -267605381*y + 54790602 wrt y. -267605381 What is the third derivative of 435*c**6 + 23*c**5 - 63*c**3 - 8892714*c**2? 52200*c**3 + 1380*c**2 - 378 Find the third derivative of 29220633*a**5 + 53890*a**2 - a + 1 wrt a. 1753237980*a**2 What is the second derivative of 7633224*u**3 + 7319*u + 130 wrt u? 45799344*u What is the third derivative of -f**4*k - 4078082*f**3*k - 2*f**2 + f*k + 2*f - 34*k -
{ "pile_set_name": "DM Mathematics" }
Let t(c) = c**3 - c**2 - 4*c. Calculate t(2). -4 Let w(b) = -11*b**3 - 1. Determine w(1). -12 Let h(r) = -r**3 - 19*r**2 - 19*r - 17. What is h(-18)? 1 Let v(k) = k**3 - 16*k**2 - 16*k - 12. What is v(17)? 5 Let m(x) = -x**3 + 24*x**2 + x - 26. What is m(24)? -2 Let z(d) = -d**3 + 2*d - 10. Calculate z(0). -10 Let l(j) = j**3 + 9*j**2 + 15*j + 4. Calculate l(-7). -3 Let a(z) = -z**2 + 17*z - 10. What is a(11)? 56 Let a(h) = -h**3 + 4*h**2 + 2*h - 11. Calculate a(3). 4 Let t(u) = u**3 - 10*u**2 + 10*u - 15. What is t(9)? -6 Let p(z) = z + 9. Calculate p(-24). -15 Let n(z) = 9*z - 25. Determine n(4). 11 Let d(k) = -k**3 - k**2 + 21*k + 5. What is d(4)? 9 Let b(j) = 2*j**2 - 13*j + 28. Calculate b(6). 22 Let z(r) = -r - 4. What is z(5)? -9 Let p(h) = h**3 - 10*h**2 - 29*h + 3. Give p(13). 133 Let l(g) = g**3 - 9*g**2 + 8*g - 1. Calculate l(6). -61 Let c(n) = -3*n + 6. What is c(0)? 6 Let a(w) = -w**2 + 10*w - 14. What is a(8)? 2 Let s(u) = u**2 - 14*u - 2. Calculate s(15). 13 Let y(j) = -3*j**2 + 94*j - 28. Calculate y(31). 3 Let l(i) = i**3 - 5*i**2 + 10*i - 24. Calculate l(3). -12 Let y(a) = 10*a + 5. What is y(-4)? -35 Let h(b) = 17*b**3 - b**2 + 1. Give h(1). 17 Let r(u) = 2*u**2 - 67*u + 278. What is r(5)? -7 Let h(d) = -d**3 - 4*d**2 + 17*d + 29. Calculate h(-6). -1 Let v(p) = 11*p - 1. Calculate v(-1). -12 Let c(h) = 12*h - 24. Calculate c(1). -12 Let q(t) = -5*t**3 + 8*t**2 - 12*t + 2. Calculate q(2). -30 Let g(t) = 2*t**3 + 2*t**2 - 13*t - 3. Calculate g(-3). 0 Let u(o) = -2*o**2 - 9*o + 8. Give u(1). -3 Let d(o) = 5*o**3 + 2*o + 1. What is d(-1)? -6 Let x(o) = o**2 + 13*o + 16. Calculate x(-9). -20 Let c(y) = -y**3 - 5*y**2 - 3*y - 2. Determine c(-5). 13 Let l(r) = r - 48. Determine l(10). -38 Let z(r) = -49*r. Determine z(1). -49 Let t(n) = -n + 33. What is t(8)? 25 Let k(n) = 72*n**3 + 3*n**2 - 4*n + 1. Give k(1). 72 Let r(f) = f**2 + 26. Calculate r(0). 26 Let m(q) = q**2 - 10*q + 28. Determine m(7). 7 Let k(j) = -2*j**2 - 11*j + 18. Give k(-9). -45 Let g(f) = -4*f**2 + 4*f + 2. Give g(3). -22 Let f(y) = -y**3 + 12*y**2 - 24*y + 139. Calculate f(11). -4 Let g(n) = 16*n + 3. Calculate g(-1). -13 Let q(k) = k**3 - 14*k**2 + 11*k - 18. Calculate q(13). -44 Let f(c) = c**2 - 8*c - 6. Determine f(7). -13 Let j(p) = 17*p + 153. Give j(-8). 17 Let i(f) = -4*f - 38. Give i(-12). 10 Let b(x) = -x**3 + 12*x**2 + 28*x + 16. Determine b(14). 16 Let l(h) = -h**2 + 9*h - 14. Calculate l(6). 4 Let g(v) = -v**2 - 17*v - 47. Determine g(-13). 5 Let w(s) = 2*s**2 - 21*s + 84. Calculate w(6). 30 Let j(s) = 3*s - 62. Calculate j(17). -11 Let l(b) = b**2 + 108*b + 519. What is l(-5)? 4 Let d(n) = -70*n - 325. What is d(-5)? 25 Let c(h) = h**3 - 10*h + 4. Calculate c(3). 1 Let j(f) = -17*f + 108. Give j(7). -11 Let f(l) = -l**3 - 7*l**2 - 12*l - 84. Give f(-7). 0 Let o(u) = -u**3 + 9*u**2 - 8*u + 2. Give o(8). 2 Let c(f) = -25*f + 1. Give c(4). -99 Let j(t) = t. Determine j(1). 1 Let s(a) = -a**3 + 6*a**2 + 9*a + 5. What is s(7)? 19 Let a(v) = -v + 17. Give a(-13). 30 Let v(p) = -13*p - 12. What is v(0)? -12 Let w(i) = -5*i + 17. Calculate w(3). 2 Let d(t) = 5*t - 6. Give d(-6). -36 Let u(q) = 2*q**2 - 25*q + 18. Determine u(11). -15 Let i(l) = -3*l - 40. What is i(-14)? 2 Let m(b) = -b**3 - 7*b**2 - 17*b - 35. What is m(-5)? 0 Let q(n) = -20*n. What is q(9)? -180 Let x(z) = -3*z**2 + 2*z + 3. What is x(-3)? -30 Let y(k) = -k**3 - 3*k**2 + 7*k - 1. Calculate y(3). -34 Let n(v) = v**3 + 20*v**2 - 33*v - 253. Give n(-21). -1 Let t(z) = -5*z**2 - 71*z - 132. Give t(-12). 0 Let o(j) = -j**2 + 10*j - 1. What is o(8)? 15 Let v(b) = b**2 + 10*b + 13. Calculate v(-8). -3 Let c(x) = -x**3 - 10*x**2 + 27*x - 3. Give c(-12). -39 Let l(p) = -p**3 + 14*p**2 + 17*p + 28. Calculate l(15). 58 Let d(z) = z**3 - 11*z**2 + 7*z - 10. Determine d(11). 67 Let o(f) = -25*f - 127. Calculate o(-5). -2 Let r(z) = -z**2 - z + 1. What is r(-4)? -11 Let j(u) = u**3 - 8*u**2 + 9*u + 7. Calculate j(4). -21 Let k(x) = -x**2 - 6*x + 9. Calculate k(-11). -46 Let g(i) = i**3 - 6*i**2 - 8*i - 2. Calculate g(7). -9 Let f(w) = -4*w - 1. Determine f(-3). 11 Let p(j) = -4*j**2 - 10*j + 3. What is p(-5)? -47 Let b(i) = -i**3 + 5*i**2 - i + 32. What is b(6)? -10 Let j(c) = -2*c**3 + 10*c**2 + 3*c + 6. Determine j(5). 21 Let p(x) = 3*x**2 - 67*x + 18. Determine p(22). -4 Let z(a) = -10*a + 15. Give z(-4). 55 Let x(i) = i**3 + 10*i**2 - 10*i - 7. What is x(-11)? -18 Let z(p) = -3*p**2 - 11*p + 5. Determine z(-5). -15 Let c(l) = -l**3 + 8*l**2 + 18*l - 83. Determine c(9). -2 Let y(k) = -k**3 + 6*k**2 - 2*k + 5. Determine y(4). 29 Let x(f) = f**3 + 5*f**2 + 7*f + 14. Calculate x(-4). 2 Let n(s) = -24*s + 46. Give n(7). -122 Let v(t) = -3*t**3 + 22*t**2 + 13*t - 16. Calculate v(8). -40 Let l(f) = -f**3 - 9*f**2 - 9*f - 2. Calculate l(-6). -56 Let z(k) = k**2 + 12*k + 2. Calculate z(-6). -34 Let z(t) = t**3 - 2*t**2 + t + 2. Calculate z(-2). -16 Let o(c) = -5*c + 29. Calculate o(7). -6 Let j(s) = -s**3 - 7*s**2 + 11*s - 1. Give j(-6). -103 Let n(x) = 21*x**3 + x**2 - 3*x - 2. Determine n(-1). -19 Let m(r) = 6*r**2 - 54*r + 4. Give m(9). 4 Let z(d) = 2*d + 43. What is z(-17)? 9 Let o(l) = -7*l + 52. What is o(5)? 17 Let x(a) = -8*a - 12. Calculate x(-2). 4 Let v(h) = -h**3 - 4*h**2 + 18*h + 32. Determine v(-6). -4 Let u(x) = -7*x - 59. What is u(-7)? -10 Let j(t) = 6*t - 2. Give j(4). 22 Let u(b) = b**2 + 14*b + 9. Determine u(-9). -36 Let u(g) = 2*g**2 - 24*g - 108. Determine u(-4). 20 Let y(q) = q**2 + 8*q + 7. Give y(-9). 16 Let c(i) = i**3 - 13*i**2 + 11*i + 11. Determine c(12). -1 Let l(a) = -26*a**3 + a**2 + 1. Calculate l(1). -24 Let b(z) = -z**3 - 9*z**2 - 10*z - 7. Determine b(-8). 9 Let x(c) = -25*c - 395. Determine x(-16). 5 Let m(n) = n**3 - 15*n**2 - 41*n + 116. Give m(17). -3 Let g(y) = 4*y - 36. What is g(8)? -4 Let t(w) = 2*w**2 + 15*w - 16. Calculate t(1). 1 Let r(c) = c**2 - 4*c + 9. Determine r(6). 21 Let z(q) = 2*q**2 + 4*q - 8. What is z(-4)? 8 Let x(b) = 4*b - 30. Determine x(13). 22 Let z(v) = -5*v**3 - 2*v**2 + 9*v - 14. What is z(2)? -44 Let w(d) = 2*d - 3. Calculate w(22). 41 Let l(q) = 3*q**3 + 6*q**2 + 4*q - 1. What is l(-2)? -9 Let d(x) = -8*x - 9. Determine d(7). -65 Let f(r) = 2*r - 3. Determine f(-3). -9 Let j(y) = 6*y**3 + y - 1. Determine j(1). 6 Let q(j) = -j + 4. Give q(-9). 13 Let a(x) = 5*x + 1. Determine a(-1). -4 Let c(i) = -2*i - 5. What is c(3)? -11 Let r(y) = y**2 + 13*y - 2. What is r(-11)? -24 Let c(w) = -6*w - 2. Determine c(1). -8 Let i(k) = -k**3 + 8*k**2 - 12*k + 7. Determine i(6). 7 Let s(o) = 32*o - 180. Calculate s(6). 12 Let z(w) = -w**3 - 6*w**2 + 6*w - 2. What is z(-7)? 5 Let c(s) = -s**2 + 7*s + 5. Calculate c(6). 11 Let c(a) = a**3 + 29*a**2 + 57*a + 76. Determine c(-27). -5 Let m(u) = 18*u - 200. Determine m(11). -2 Let p(b) = b**3 - 7*b**2 + 4*b + 1. What is p(6)? -11 Let g(y) = -7*y - 3. What is g(-12)? 81 Let r(a) = -2*a**2 + 2. What is r(-2)? -6 Let l(w) = -6*w**3 + 3*w - 3. Determine l(2). -45 Let v(p) = p**3 + 15*p**2 + 36*p + 8. Give v(-12). 8 Let s(t) = 16*t + 11. Give s(-1). -5 Let c(k) = -3*k**2 + 13*k + 7. Give c(7). -49 Let d(m) = m**2 + 17*m + 15. Determine d(-10). -55 Let y(z) = -z**2 + 16*z + 37. What is y(18)? 1 Let q(j) = -j**3 - 15*j**2 - 15*j - 29. What is q(-14)? -15 Let h(o) = o**3 - 9*o**2 + 3*o - 6. Give h(9). 21 Let h(f) = 5*f + 46. Determine h(-10). -4 Let p(g) = -20*g - 329. Determine p(-17). 11 Let d(k) = 11*k**3 - 2*k**2 + k. Calculate d(1). 10 Let h(r) = 2*r - 24. Determine h(9). -6 Let l(p) = 6*p - 233. What is l(31)? -47 Let o(f) = f**3 - 12*f**2 + 36*f - 174. Determine o(10). -14 Let g(t) = -t**3 + 8*t**2 + 7*t + 9. What is g(9)? -9 Let x(r) = -23*r + 1. What is x(5)? -114 Let g(k) = -6*k - 1. Calculate g(-1). 5 Let w(p) = -p**2 + 78*p + 598. Calculate w(85). 3 Let w(u) = 2*u**3 + u**2 - 2*u - 1. Determine w(2). 15 Let i(o) = -o**2 - 15*o - 5. Determine i(-15). -5 Let d(q) = q + 27. Calculate d(-12). 15 Let v(b) = -9*b**2 - 2*b + 2. Calculate v(2). -38 Let u(g) = g**3 + 4*g**2 - 2*g + 4. Determine u(-4). 12 Let x(m) = -m**2 + 15*m + 16. Determine x(13). 42 Let k(b) = b**3 + 6*b**2 + 16*b + 50. Determine k(-5). -5 Let g(q) = -q**2 + 4*q + 5. Calculate g(4). 5 Let f(g) = g**3 - 5*g + 4. Calculate f(2). 2 Let k(
{ "pile_set_name": "DM Mathematics" }
? -2/15 What is the value of (360/(-16380))/((-2)/(-13))? -1/7 What is 1/(-15) - ((-8648)/(-780) - (-6 + 17))? -2/13 Evaluate (-8 - 30/(-4))*22. -11 37/5 - (315/675)/((-7)/(-6)) 7 Calculate (-60)/36*(-27)/5. 9 What is the value of (-36 - -16 - -21)*-1*7? -7 What is 12 - 245*(-15)/(-105)? -23 Calculate (441/(-8))/(-3) - ((-1720)/(-320) + -5). 18 Calculate (-156)/91 + (-2544)/(-112). 21 Evaluate 35*(-7)/(-35) + -16. -9 Evaluate 3/69*2 - (-645)/3956. 1/4 What is 1/2 - (-48)/(38688/(-589))? -3/13 What is the value of -6 + -94*(-11)/170 + (-2)/(-17)? 1/5 What is the value of 4/154 + (-1040)/56 + 11 + 7? -6/11 Calculate (-18)/63 - (-243)/(-15)*(-28)/147. 14/5 What is 1760/(-336) + 5 + (-12)/126? -1/3 14 + (-28)/7 - (-52)/(-6) 4/3 Calculate ((-8)/(-6))/(6/135)*(-3437)/6874. -15 ((-515)/(-618) - 103/(-6)) + -7 11 (20 + 15)*(-9)/(-15) 21 What is 1/33*(-1 - (5 - 4)*-3)? 2/33 Calculate (3/4)/((6 + 270)/23). 1/16 Evaluate (-2 + (-108)/(-56))*144/528*-22. 3/7 What is the value of 2514/(-28911) - (-2 + (-1468)/(-46))? -30 (416976/7448 - 56)/(4/(-42)) 3/19 Evaluate 13 - (-4 + 8) - (0 + 26/(-2)). 22 ((-10)/75)/(1008/(-720)) 2/21 What is the value of (140/(-50) - -3) + 1*39/5? 8 Evaluate ((-2)/(-3))/((14/(-420))/((-2)/8)). 5 (18044/(-754) - -8) + 16 2/29 What is 1 - ((832/(-160))/(-26))/((-1)/(-2))? 3/5 What is -3*(-30)/(-9)*(-32)/(-288)? -10/9 What is the value of (-56)/24 + (952/120 - 8)? -12/5 Calculate (932/(-70) - (-100)/(-350))*40/(-16). 34 What is the value of ((-66)/18)/(66/(-36))? 2 (-84)/(-2)*(32 - 470/15) 28 Evaluate -14 + 4245*8/2400. 3/20 -22 + 1 - (-518475)/24530 3/22 Evaluate (-2 + (-3)/(-9))*(-66288)/(-6905). -16 What is (252/(-18))/(104/(-6)) - 1/2? 4/13 Evaluate 910/(-10400)*(-4)/(-7). -1/20 (120/35 + -6)/((-195)/182) 12/5 What is the value of 1 - (-10)/(-12) - (9 + (-5742)/540)? 9/5 4 + -1*0*(-1)/(-1) 4 Calculate ((-6400)/4800)/(((-14)/3)/(-1)). -2/7 Evaluate (130/(-18) - 10/(-15)) + 15/(-135). -20/3 What is the value of (1/7)/(3285/(-12775))? -5/9 464/(-928)*12/11 -6/11 14*1/5*((-81)/(-18) + -7) -7 9*(-17)/(153/(-2)) 2 What is (11 - 5 - 16) + 9 + (-25)/5? -6 Evaluate (-6)/(-4)*(92/21)/(546/1911). 23 What is (-8)/18 + (-7192)/(-11484)? 2/11 Evaluate 4065/225 - 8/120. 18 Evaluate 552/(-1035) + 2/6. -1/5 What is ((-7)/4 - -2)*88/(-154)? -1/7 What is 4/(9 - 209/22)? -8 What is 4*(3 + (-169)/52)/(2/(-12))? 6 56/(-1218)*-29 + (-16)/6 -4/3 Evaluate 5/90*-122 + 7 + 124/90. 8/5 (2/(-1) - (3 + -11)) + 0/14 6 What is the value of ((-803)/66 - 5) + 16? -7/6 Evaluate -2 + (-64)/(-26) + (-52920)/(-2457). 22 7*13/(-1092) + (-23)/12 -2 Calculate (-5)/15*(11 + 7). -6 What is 2*(-95)/(-150)*-9 - 2/(-5)? -11 What is the value of ((-112)/72)/(1/3) - (-82)/(-246)? -5 Evaluate (-44541)/(-1919) - 44/209. 23 Evaluate (-29)/(116/16)*(-6)/(-112)*2. -3/7 What is the value of -6*-5*(-3)/(-15) + -1 - -13? 18 What is the value of -4 + 3 - 6 - (460/12)/(-5)? 2/3 (17936/(-57))/(-16) + -20 -1/3 What is the value of (-55)/120 + (-1)/6 - (-10 - -9)? 3/8 ((-25)/(-200))/((-9)/24) -1/3 What is (32395/(-38))/55 + (-1)/(-2)? -15 Calculate (-39 + -5 - -46)*(-27)/(-6). 9 90/(-126)*2/(-3 - -5) -5/7 Evaluate 261/348 - (-15)/12. 2 Evaluate ((-4)/(-18) + 10/36)/((-88)/16). -1/11 Calculate 4*93/3410*60/4. 18/11 Evaluate (2/(-49))/(160/(-140) + 0). 1/28 Evaluate 32/(-18)*-3 - ((-12075)/(-207) + -59). 6 Calculate ((-6)/(-2))/(912/(-171)*(-45)/10). 1/8 What is the value of (12/(-30))/(4/((-11 + 1)/5))? 1/5 Evaluate (6 - 144/27)*(-3060)/(-272). 15/2 Evaluate 8/68 - 150/408. -1/4 Evaluate ((36 - 29) + (-246)/35)/((-4)/126). 9/10 What is the value of (-172)/(-13) - 615/2665? 13 What is (-5)/(-7) + ((-1620)/(-35))/(-6)? -7 What is 87/8 - ((45 - -1) + -35)? -1/8 Evaluate -3*((-2)/30 - 984/(-360)). -8 What is (-29)/((-2436)/(-1197)) - (-17 - -2)? 3/4 Calculate (-1863)/(-189) - (-2)/14. 10 Evaluate -12 + 2394/190 - 98/5. -19 What is 16368/10416*2*-7? -22 Evaluate 21 + (-186)/6 - -24. 14 Evaluate 101/(-5) - (-57)/(-95) - 2/10. -21 What is the value of ((-390)/1235)/(28/(-133))? 3/2 What is the value of (-21)/18 - (-2750)/660? 3 What is (-1)/(-6)*(-3 + -17) - -4? 2/3 What is (135/(-180)*(-4)/(-6))/(3/(-60))? 10 What is the value of (66/24)/(10/(-15)) + 4/1? -1/8 5/450*15 + 106/12 9 What is the value of ((-9)/(-17))/((-741)/494)? -6/17 Evaluate (-255)/23 + 11 + 0. -2/23 What is the value of (4 - 448/(-48)) + -5 + -9? -2/3 (-6)/(-630) - (-5)/(-35) -2/15 Evaluate ((-3)/(-34))/((0 - (-5)/10) + 1). 1/17 Evaluate (14 + (-31056)/2214)*((-117)/15)/(-13). -2/123 Calculate 15/(-70)*1302/(-279). 1 Evaluate ((-1)/9*(-183)/61)/((-4)/(-288)). 24 What is ((-360)/(-21))/(-30) + 3*(-8)/7? -4 What is the value of (0 - 2)*-1 - 3 - 8? -9 28/(-5)*((-35)/10 - (2 - 3)) 14 What is the value of (-36)/(-27)*1/16 - 310/840? -2/7 Calculate (-7 - -13)*8/16. 3 15 + 0 + -8 + 3/((-12)/25) 3/4 ((-37)/70 - -1) + 4311/63 + -69 -1/10 What is the value of 1287/165 - 34 - -25? -6/5 What is -17 + (12 + 72/(-4) - -1)? -22 What is the value of 36 + -48 + (-2002)/(-54) + 4/(-54)? 25 Calculate (-1)/1*((-84)/210)/(2/100). 20 Calculate ((-1)/140)/(529/(-10580)). 1/7 14 + (-40 - (-639)/27) -7/3 Calculate -4 - -74*((-460)/(-40) + -11). 33 What is (-122)/3965*(-1)/((-2)/(-20))? 4/13 What is -24 + 17 + 18/(2/1)? 2 Calculate (-27)/(-18) + 252/(-264). 6/11 Evaluate 80/(-760) - 6226/418. -15 What is the value of (16/(-4))/(((-112)/21 - -5)*3)? 4 Calculate (19 + -25)/((-28)/14). 3 (-16)/56 + 236/(-56) -9/2 Evaluate 22*(207/92)/((-99)/22). -11 What is the value of (-8 + 3)/((-2)/(-8)*2)? -10 What is the value of (348 - 15)/(-9) - -28? -9 What is the value of 12/9*(-2)/(-8) - (-16450)/1050? 16 Evaluate 11*(-9 - (-110)/(-10)*-2 - 12). 11 What is the value of 0/(5 - (-30)/(-5))? 0 What is (1 - (-91)/(-39))*3/(-24)? 1/6 12 + -11 - (2 + 13)/3 - -23 19 Calculate 75/(1275/(-238)) - (6 - 4). -16 1/3 - 1730/519 -3 (-96)/(-1584)*11 + -7 -19/3 (-48)/5*((-4658)/51 + 93) -16 What is (-230)/55 - -4 - 5/((-165)/(-423))? -13 What is the value of ((-3)/(-258))/((1/(-5))/((-164)/205))? 2/43 ((-22)/220)/(62/(-248)) 2/5 Calculate (-14 - -10) + (114/(-7))/(116/(-28)). -2/29 (-11 - 49)*(-12)/36 20 17 - 372/18 - -5 4/3 What is ((-22)/8 - -3)*(-264)/(-143)? 6/13 26/91*(-1)/(3 + -7) 1/14 What is the value of (-7254)/(-144) - 23 - 6/16? 27 20/(-216)*-42*30/50 7/3 -14 - (-14 + (-22 - -18)) 4 What is (-25 + 21 + 11)/(-1)? -7 Evaluate (-124)/186 + (-30)/(-18). 1 216/30 - ((-196)/20 - -10) 7 Evaluate (39 - 0)*(15/(-5))/9. -13 What is the value of 2 + -34 - 74907/(-2349)? -1/9 Evaluate 19 + 93/(-3) - -10. -2 Evaluate 687/(-3206)*(-8)/(-6). -2/7 What is (-10)/(-40)*(-40 - -36 - 10*-8)? 19 What is (4*(-6)/(-60))/(((-7)/(-1))/(-105))? -6 Calculate (-9)/(1242/4807) - -39. 25/6 What is 52/10 + 6/13*(-18 - -5)? -4/5 What is (18 - 13775/836) + 3/(-11)? 5/4 2 - -19 - 13892/644 -4/7 What is the value of 16/(2560/(-470)) + (1 - -2)? 1/16 Calculate (-1)/((-30)/935 - (-1)/(-55)*-5). -17 Calculate (14/6)/(68/11628*133). 3 What is the value of (-7)/(31 + -24)*(14 - 1)? -13 (-1)/6*(-2 + 2) - -11 11 ((-14)/(-24)*(2295/238 + -10))/(-5) 1/24 (-31 - -26) + (10*1/2 - 3) -3 What is (8 + 327/(-27) + 4)/((-4)/30)? 5/6 12/(-27) - (-5 + 570/54) -6 Evaluate 1325/530 + (-11)/4. -1/4 Evaluate ((1 - 0) + (12 - (-315)/(-30)))*-2. -5 Evaluate (-6 + 561/110)*-5*(-8)/96. -3/8 Evaluate 2*(-21 + 27 + -3). 6 Evaluate -5*((26/(-1080))/13)/((-147)/392). -2/81 What is (-2)/12 + (-22)/(-2) + 45577/(-2298)? -9 -12 - ((-2)/30 - (-23254)/2310) -22 What is (-489180)/(-15254) + (-4)/58? 32 Evaluate ((-46)/(-7590)*-15)/(2*2/(-22)). 1/2 (102/4250)/(2/(12 + 2 + -4)) 3/25 Calculate ((-42)/7245)/(-6 + 68/12). 2/115 ((-18)/(-54))/(9/459)*(0 + 1) 17 Evaluate (1862/252 - 7)/(14/84). 7/3 Evaluate -15 - 9 - (-72 + 68). -20 What is the value of ((-33)/9)/((-10)/(-36)) + (-13)/(-65)? -13 Evaluate ((-4)/(-42))/((-143)/(-3432)). 16/7 What is the value of (14/24)/((-11)/(-132))? 7 What is -8*((-63)/1197)/((-8)/38)? -2 What is 1 - 0/(-33 + 4)? 1 What is the value of -13 + 26 + 30*20/(-50)? 1 Evaluate (21/30)/(714/(-612)). -3/5 What is (28/(-105)*3)/(22/495)? -18 ((2 - 23) + 14632/708)*6/46 -1/23 Calculate 270/(-20)*(-20)/18. 15 Evaluate 5/(-2) - (48 - 1550/30). 7/6 (-3)/(-18) - (-752)/(-3360) -2/35 5 - (5635/3850 - -4 - 1/2) 2/55 Calcul
{ "pile_set_name": "DM Mathematics" }
uming k is positive. k**(-1591/29) Simplify ((h**(-1/3)*h)/h)**47/(h**2*h*h*h**(-1/3))*(h**0*h*h*h*h/((h*h**4*h)/h))**0 assuming h is positive. h**(-58/3) Simplify ((x**6/x)/(x*(x/(x*x**(-2/11)/x))/x))**(7/4)*((x*x*x**2*x)/((x*x/x**1)/x))/(x**(1/2)/((x*x/x**(1/5)*x*x)/x)) assuming x is positive. x**(769/55) Simplify ((c/c**(1/2)*c*c**(2/7)*((c/c**(1/2))/c)**(-7/3))**(-5/13))**(-3/4) assuming c is positive. c**(155/182) Simplify ((m*m**(1/11)/m*m*m**(-1/7))/(m**(-1/5)*m**(-2/11)))**(-11/5) assuming m is positive. m**(-512/175) Simplify ((t**(-1))**(-44)/(t*t**11*t*t*t**(2/13)/t))**(-46) assuming t is positive. t**(-18446/13) Simplify ((o**(1/8)*o*o/(o**(4/17)/o))/(o**(-2/97))**(-26))**(1/11) assuming o is positive. o**(31049/145112) Simplify (z**(3/4)/z**7)**(3/7)/(((z*z/(z*z/(z*z/(z/z**3))*z*z))/z*z/z**(1/4)*z)/(((z*z**(1/3)*z*z)/z*z)/z**1)) assuming z is positive. z**(-65/21) Simplify ((u**(-1)*u)/u)**15*(u*u**2)/(u/u**(1/10))*((u*(((u/(u/(u**6*u)))/u)/u)/u)/u)/(u*u**(3/2)/u*u)*u**(2/7)/u*u*u*u*u**(1/5) assuming u is positive. u**(-312/35) Simplify ((d/(d/(d*d/(d*((d*d*d*d/((d/(d/(d/d**(3/5)))*d)/d))/d)/d))))**16)**40/((d**(-1/2))**42/(d/d**(2/13)*(d**(2/11)/d)/d)) assuming d is positive. d**(-52048/143) Simplify (k/(k*k**(-2))*k/k**(2/11))**(-7/11)/((k**(-5/3)/k**(-4))/(k/(k/(k**(-5)*k))*k*k**(-6))) assuming k is positive. k**(-4765/363) Simplify (((d/d**(6/5))/d*(d*d/d**0*d)/d*d)/(d**(1/3))**48)/((d**0)**43*(d*d*((d*d**2/d)/d*d)/d*d)**(-33)) assuming d is positive. d**(589/5) Simplify (j*j**(2/3)*j**(2/3)*j*j**(-5)/(j/j**(-2/5)*j*j))/((j**0)**(10/7)*(j*j**(1/2))**27) assuming j is positive. j**(-1367/30) Simplify (z/z**1)**(-46)*z**2/(z*z**(3/4))*((z**(-1))**(-5/6))**(1/42) assuming z is positive. z**(17/63) Simplify ((w*w**1)**(3/2)*(w**(-3/10)/w)/(w**(2/3)*w))/(w**(2/9)*w**(-1)*(w/((w/(w*w**(-1)/w))/w))**(-35)) assuming w is positive. w**(73/90) Simplify ((m/(m*(m*m**7*m)/m))/(m*m/((m/m**9)/m)*m*m*m)*(m**(1/4))**23)/(m/(m**(-2/13)/m)*m*(m**(-12)/m)/m)**(-2/3) assuming m is positive. m**(-1221/52) Simplify (o**(-3/4)/(o/(o/(o/(o*o**1))))*(o*((o*o*o**(-2/5))/o)/o)**20)/((((o**(-3/2)/o*o)/o*o)/o*o**0)/(o**(-1))**(-13)) assuming o is positive. o**(111/4) Simplify (p**(-2/19)/(p/(p*p/(p*p**(-8))*p)))**(-43/3)*(p**(-9)*p**4)**(2/43) assuming p is positive. p**(-313051/2451) Simplify (p**10*p*p**0*p)**(-31)/(((p/p**(-1/2))/p)**(-50)*p/(p*p*p**6*p)*p**(-1)) assuming p is positive. p**(-338) Simplify (u/u**(-4/7)*(u**7*u*u)/u*u*u*u*u)**14/((u**(1/4)*u**(-7/2))/(u/u**(-2/5)*(u/(u/(u*(u/u**(-3/4))/u)))/u*u*u)) assuming u is positive. u**(987/5) Simplify j*j/(j/((j**25/j)/j))*j**(-8)*(j/j**(-1/18))**(3/17) assuming j is positive. j**(1651/102) Simplify (((j*j*j**(-2/13))/j**13)/(j**4)**15)**(-31) assuming j is positive. j**(28675/13) Simplify (h*h**(10/13)*h)**(-17)*(h**(10/3)/h)**(-2) assuming h is positive. h**(-2018/39) Simplify ((q**44/q**(-3/4))/(q/q**38*q*q*q**(-3/4)))**(-4/9) assuming q is positive. q**(-322/9) Simplify (((j**(-1/8)*j)/j*j*j)**(-6/7)*(j/(j/(j*j**9)))/j*j**13)**(-4/9) assuming j is positive. j**(-571/63) Simplify ((d**(-1/2))**(6/11)*d**5*d/((d*d*(d*d**(2/3))/d)/d))/(((d/(d*d**4))/(d/(d**(-1/3)/d)*d))/((d**(2/5)*d)/d)**(-36)) assuming d is positive. d**(-496/165) Simplify (d/(d**(3/5)/d)*d*d*d**(-1/17)*(d*(((d/(d/d**4))/d)/d)/d)/((d/((d*d**10)/d)*d)/d))**(17/5) assuming d is positive. d**(1219/25) Simplify ((((c/((c**23*c)/c))/c)/c)**(-21)/((c*c/((c**1/c)/c))/(c**(5/7)/c)))**8 assuming c is positive. c**(28040/7) Simplify ((((c/(c*(c/((c/(c**(1/3)*c*c))/c))/c*c*c))/(c**(-2/13)/c))/(c*c**(-1/3))**5)**(-12/7))**(7/13) assuming c is positive. c**(1016/169) Simplify ((m/m**1*m)**(1/5)*(m**1)**(-32))/(m**(2/7)*m**(-1/2)*(m*m*m*m**1)**25) assuming m is positive. m**(-9211/70) Simplify (f**(3/5)*f*f*f**(-1/5))/((f*f/(f**(1/3)/f))/f)**(-20/11)*(f**(-1)/(f*f/f**(-4)*f))/((f/((f/(f*f**6))/f*f))/(f**(2/7)*f)) assuming f is positive. f**(-9568/1155) Simplify (((v**(-2))**23/((v/v**(-1/3))/v**(-1)))**(1/27))**(3/13) assuming v is positive. v**(-145/351) Simplify ((k*k**(-1/2))**1)**(-5/4)/((k/k**(-9))/k**(-4))**(1/13) assuming k is positive. k**(-177/104) Simplify ((((o**1)**(-20))**(-24))**(-42))**(-44) assuming o is positive. o**887040 Simplify (((m*m/(m**(-35)/m))**20)**(-9/4))**(-6) assuming m is positive. m**10260 Simplify ((t*(t**(2/29)/t)/t*t)/t*t/(t**9*t)*t)**32*(t/((t/(t*t/(t*t**(-3))*t*t*t*t))/t*t)*t*t**3/t)/(t/t**(-1/4))**(24/5) assuming t is positive. t**(-8143/29) Simplify ((f**0)**39*f**(-5)/(f*f*((f/(f*f/((f*f/(((f/f**(4/5)*f*f)/f)/f)*f)/f)*f))/f)/f))/(((f**(2/3)/f)/f)**(-34)/(f**(-5)*f**(-5))) assuming f is positive. f**(-902/15) Simplify (((d/d**(-2))/d)/(d**(-1)*d)*d**(-2/11)*(d*d**(-3/4)*d*d*d)/d)/(d**2/d**(-2)*d**(-1/2)/d**(-6)) assuming d is positive. d**(-239/44) Simplify (((p/(p**2*p))/p)**25)**(-12/7)*((p*p**(-1))**(2/71))**(-1/33) assuming p is positive. p**(900/7) Simplify (w**(-12)*w*w/(w/(w**(-12)*w)))**(2/105)/((w/((w**(2/5)/w)/w))**20*(w*w**(-7))/w**(-4/3)) assuming w is positive. w**(-5014/105) Simplify (((b*b*b**0/b)/b*b)**10*b/b**(2/3)*b*(b*b*b**3*b)/b*b)/(b*b/(b/((b/b**9)/b))*b/(((b**(-7)*b)/b)/b))**(4/5) assuming b is positive. b**(248/15) Simplify (n**(2/13)*n**(-3/2))/(((n**(-7)/n)/n)/(n/n**(-2/17)))*(n**(-1/2))**(-35/2)*(n**(-2/5)*n*n)**(17/3) assuming n is positive. n**(352559/13260) Simplify ((n**(-1/6)*n)/(n/((n/n**(-9))/n)))**(-7)*(n**(-2)*((n*n**(4/3)*n)/n)/n)**(5/9) assuming n is positive. n**(-3359/54) Simplify c**5*c/c**(-2/13)*c/(c*c*c**(-1)/c)*c**(-1/16)*(c**(-1)/c)**(-1/2)*c*c**(2/21)*c*(c*c**(-7))/c assuming c is positive. c**(13919/4368) Simplify ((w**(-4/15)/w)/(w*w*w**(3/14)/w*w*w)*(w*w**(1/35))/(w/w**(9/4)))**(-3/20) assuming w is positive. w**(37/112) Simplify ((r/(r*r**11*r)*(r*r**(-16))/r)/(r/r**(1/4))**(1/61))**(-30) assuming r is positive. r**(102525/122) Simplify ((z*z**6*z*z*z*z*z**(-3/4)/z*((z*z**(-1/2))/z)/(z/z**(-10)*z))**(-7/9))**(-4/9) assuming z is positive. z**(-91/81) Simplify (p**(-2/5))**37/(p**7*p*p*p*p**(-6))*(p*p**(1/3))**19/(p*(p**(-2/7)/p)/p)**(-3) assuming p is positive. p**(281/105) Simplify (((m*m*m/m**(-9)*m)/m**(-2/7))/(m**(2/9)*m**2*m))/((m*m**(-1))**(-40)*m**(5/3)/m*m**7) assuming m is positive. m**(151/63) Simplify (a/(a/((a/a**1)/a)*a)*a/(a/a**(-2/15)))/(a**1)**(-16/7)*(a/a**(1/3))**(4/3)*(a*a*a/(a/((a**(-1)*a)/a)))**39 assuming a is positive. a**(12613/315) Simplify (((a/a**(-6))/a*a)**(-15/2)*(a**(-2/5))**(2/7))**(-4/7) assuming a is positive. a**(7366/245) Simplify ((((g/g**(-5))/g)/g)/g)/g*g*g**(1/8)*(g**0)**(-3)*((g*g*g**(4/7)*g)/g*g**1)/(g**8*g**(-8)) assuming g is positive. g**(375/56) Simplify (b**(1/3)*b)**(2/51)/((b*(b*(b**(2/9)*b*b)/b)/b)/b)**(3/13)*((((((b/(b/(b/(b/(b*b**13)))))/b)/b)/b*b)/b)/b**10)**(-1/2) assuming b is positive. b**(-2903/3978) Simplify (f**(-2/13)*f/f**(2/3))**(-24)*(f*f**1)**(3/4)*(f**(-1))**(-1/20) assuming f is positive. f**(-717/260) Simplify ((v*v**1)**(14/5)/(v**(1/10)/(v*v**(-2/11))))**(-2) assuming v is positive. v**(-139/11) Simplify ((y*(y*y/(y**(-1)/y)*y)/y)**(-4/33)/(y**(-1))**(-2/51))/((y/(y/(y*y/y**0)))**(-38))**(33/2) assuming y is positive. y**(703132/561) Simplify (v**4*v*v**(4/5))**(-12/11)*(v*v**1)**(-29)/(v**(1/2)*v**(1/3)/v) assuming v is positive. v**(-21173/330) Simplify ((u/u**6*u**(-2/145))/((u*u**(4/11)*u)/u**8))**(-50) assuming u is positive. u**(-9930/319) Simplify (n/(n*n**1))**(2/43)*(n*n**(1/7))/n*n**7*(n/((n/n**(2/7)*n*n)/n))/(n*n**(1/4)/n)*((n*n**8)/n)/n*n*n/(n*n**(2/13)*n)*n assuming n is positive. n**(218787/15652) Simplify ((v/v**(-1/3))/v)**(-4/3)*v/v**(-2/5)*v*(v/(v/v**(-1))*v*v)/v*((v**(1/2))**4)**(-1/18) assuming v is positive. v**(83/45) Simplify (((h**(-2/5))**(24/13)/(h/(h*(h*h**1*h)/h))**12)**32)**(-3) assuming h is positive. h**(-145152/65) Simplify (c/(c/c**(-1)))**23/(c**4/(c/(c*c**(3/5))))*((c*c**0*c)**13)**(1/25) assuming c is positive. c**(-664/25) Simplify (f**(-2/71)*f*f**(-2/5)/f*f**(-11/5)*f**13)**(-34) assuming f is positive. f**(-125188/355) Simplify (a**(-20)*a)**(-2/49)/(a**18/a*a*a**42*a) assuming a is positive. a**(-2951/49) Simplify ((u/(u*u*u/u**(2/5)))**(7/4)/(u**14/((u**(-2/15)/u)/u)))**(-29) assuming u is positive. u**(8236/15) Simplify (g/g**(-1/3))**(-2/9
{ "pile_set_name": "DM Mathematics" }
u. -116*u**2 Collect the terms in 1047027*q**3 + 722*q**2 - 722*q**2 - 36 - 1047031*q**3. -4*q**3 - 36 Collect the terms in -157*u**2 - 153*u**2 - 8 + 17 + 608*u**2 - 155*u**2 - 148*u**2. -5*u**2 + 9 Collect the terms in 6772 - 6772 + 221235*f. 221235*f Collect the terms in -614589160948 + 614589160948 + 3*g**3. 3*g**3 Collect the terms in -301*p**3 + 726*p**3 - 1729*p**2 + 571*p**2 + 580*p**2 + 578*p**2. 425*p**3 Collect the terms in -4*q + 4*q - 12*q + 5712 + 14*q - 3*q. -q + 5712 Collect the terms in -11*r**2 + 24*r - 24*r - 3645 + 3645 - 8*r**2 + 20*r**2. r**2 Collect the terms in 2085243336 - h - 2085243336 + 0*h. -h Collect the terms in 1745*j**3 + 3174*j**3 - 345*j**3 + 3489*j**3 - 609*j**3 + 4019*j**3. 11473*j**3 Collect the terms in 446*m - 27336 - 197*m - 246*m. 3*m - 27336 Collect the terms in -48*s**2 - 1 + 2743*s**3 + 2488*s**3 + 44*s**2 + 1 - 5233*s**3. -2*s**3 - 4*s**2 Collect the terms in 1264*c**3 + 1030*c**3 - 15940*c**2 + 2797*c**3 + 93*c**3 + 15940*c**2. 5184*c**3 Collect the terms in -1861 + l**3 + 9775*l + 3732 - 2*l**2 - 1871 + 3*l**2. l**3 + l**2 + 9775*l Collect the terms in 273 + 90*k + 309 + 314 - 896. 90*k Collect the terms in 26*i**3 + 0 - 24*i**3 - 2 + 337*i + 3*i**2. 2*i**3 + 3*i**2 + 337*i - 2 Collect the terms in 40 - 107*v + 90*v + 156*v. 139*v + 40 Collect the terms in -72360*o - 100 - 98 + 199 + 8511*o. -63849*o + 1 Collect the terms in 409*w + 834*w - 75*w. 1168*w Collect the terms in 51*u**3 + 27*u**3 + 21*u**3 + 15*u**3 - 124*u**3. -10*u**3 Collect the terms in -8 + 5 + 142*n**2 - 95*n**2 - 46*n**2. n**2 - 3 Collect the terms in 2169342*n - 2641*n**2 - 2169342*n + 2646*n**2. 5*n**2 Collect the terms in 442864 - 6*u - 3*u**3 + u**3 + 4*u. -2*u**3 - 2*u + 442864 Collect the terms in -35146 - b**3 - 774256*b**2 + 774256*b**2. -b**3 - 35146 Collect the terms in 359*z**2 - z + 4*z**3 + z**3 + 6*z**3 + z**3. 12*z**3 + 359*z**2 - z Collect the terms in 673 - 673 + 622*m**3 - 870*m**3. -248*m**3 Collect the terms in 24*t**2 + 899*t**3 + 1116*t**3 + 1717*t**3. 3732*t**3 + 24*t**2 Collect the terms in 6046 - 5*m + 4845 - 10891 - 25*m. -30*m Collect the terms in -5*u - 28*u**3 + 2*u**3 + 14*u**2 + 12*u**3 - 18*u. -14*u**3 + 14*u**2 - 23*u Collect the terms in -439 - 1144*l**2 + 707 - 268. -1144*l**2 Collect the terms in -74*r - 72*r - 64*r - 115*r - 66*r + 402*r. 11*r Collect the terms in -5*r**2 + 15796967629 - 15796967629. -5*r**2 Collect the terms in -9320*q**2 + 37312*q**2 - 9330*q**2 - 9332*q**2 - 9316*q**2. 14*q**2 Collect the terms in -33 - 8155701*g + 33. -8155701*g Collect the terms in 85*t - 88*t**2 - 88*t + 22 + 3*t + 3. -88*t**2 + 25 Collect the terms in -26 - 36 - 37*a + 250 - 34 - 154. -37*a Collect the terms in -58*a - 81 + 81 - 4*a**2 + 238*a. -4*a**2 + 180*a Collect the terms in 96188*g**3 - 203265*g**3 + 107080*g**3. 3*g**3 Collect the terms in -9843*l**2 + 1000*l**3 + 9843*l**2. 1000*l**3 Collect the terms in 65*z**2 - 251*z**2 + 71*z**2 - 132*z**2 + 68*z**2 + 57*z**2 + 63*z**2 + 57*z**2. -2*z**2 Collect the terms in 19 - 42232*x - 13 - 6. -42232*x Collect the terms in i + 9*i**3 + 57 - 142 + 13*i**3. 22*i**3 + i - 85 Collect the terms in -9112651 - 9112627 + 18225278 + 12*t. 12*t Collect the terms in 236*t**2 - 843309*t + 843306*t - 235*t**2. t**2 - 3*t Collect the terms in -225*z - 532*z - 1416*z - 57*z. -2230*z Collect the terms in -9 + 880*k + 6854*k + 3362*k + 4084*k. 15180*k - 9 Collect the terms in -162*z + 2517028745 - 2517028745. -162*z Collect the terms in -32119*h + 16153*h + 15966*h + 25*h**3. 25*h**3 Collect the terms in -493884*v**2 + 246851*v**2 - 2 + 246913*v**2. -120*v**2 - 2 Collect the terms in -769240*v + 3*v**3 + 769240*v + 1445*v**2. 3*v**3 + 1445*v**2 Collect the terms in -18*x + 13*x - 36*x**2 + 3*x**3 + 8*x - 2*x**3 + 60*x**2 - 3621. x**3 + 24*x**2 + 3*x - 3621 Collect the terms in 361575868*h - 361575868*h + 54*h**3. 54*h**3 Collect the terms in 16571*f - 8285*f - 8295*f + 44. -9*f + 44 Collect the terms in -6303*p + 25589*p - 21*p**2 - 6297*p - 6304*p - 6685*p. -21*p**2 Collect the terms in -1 - 22 - 1244*i**2 + 23 + 359*i**2. -885*i**2 Collect the terms in -2*b**3 + 35 + 8*b + 44*b**2 - 8*b**3 - 44*b**2. -10*b**3 + 8*b + 35 Collect the terms in 4*b**3 - 6027*b - 4*b**3 + 25*b**3 + 6039*b. 25*b**3 + 12*b Collect the terms in 32645 + 0*g + 0*g + 2598 + g - 1102. g + 34141 Collect the terms in 2*m**2 + 5*m**2 - 3538532*m**3 - 7*m**2. -3538532*m**3 Collect the terms in 420 - a - 57 - 102 - 89 - 3*a**2. -3*a**2 - a + 172 Collect the terms in -67007*o + 7 - 7 - 30310*o. -97317*o Collect the terms in 268*x - 843 + 204*x + 55*x - 837 + 1680. 527*x Collect the terms in 104779*z**2 + 91151*z**2 - 82038*z**2 + 119888*z**2 - 20334*z**2. 213446*z**2 Collect the terms in -82 - 79 + 69 + 102 - 14*r**2. -14*r**2 + 10 Collect the terms in -272 + 518 - 251 + 7*f**3. 7*f**3 - 5 Collect the terms in 199*t**3 + 1988*t**3 - 155*t**2 + 76*t**2 + 79*t**2. 2187*t**3 Collect the terms in -28355 - 188*n - 202717 + 192*n. 4*n - 231072 Collect the terms in 29900865776*y + 29900865809*y - 59801731582*y. 3*y Collect the terms in -358 - 33*m**3 - 156 + 514 + 0*m**3. -33*m**3 Collect the terms in 112515*f**2 - 56246*f**2 - 56266*f**2. 3*f**2 Collect the terms in -5327*h + 3*h**3 - 12032*h - 4387*h. 3*h**3 - 21746*h Collect the terms in -762 - 195*r - 658 - 231 + 47*r. -148*r - 1651 Collect the terms in -73856 - 40*z**2 - 74470 + 148326. -40*z**2 Collect the terms in -1401984*c**2 - 267782*c**2 - 1220148*c**2 + 689609*c**2. -2200305*c**2 Collect the terms in -5*p**2 + 160*p**2 + 58*p**2 + 3*p**2. 216*p**2 Collect the terms in 10405*b**2 + 14*b**3 + 10595*b**2 - 21001*b**2. 14*b**3 - b**2 Collect the terms in 10382 - 25*b**3 + 75*b**3 - 10381. 50*b**3 + 1 Collect the terms in 13140*b**2 - 18224*b**2 - 5*b**3 + 5084*b**2. -5*b**3 Collect the terms in 320 - 42 + 1667 + 1724 + 3*m - 422. 3*m + 3247 Collect the terms in 2*t**3 + 2560 + 2678 - 10666 + 2744 + 2684. 2*t**3 Collect the terms in 853 - 5*m**2 - 1612 + 912 - 153. -5*m**2 Collect the terms in -472*d + 472*d + 504257*d**2. 504257*d**2 Collect the terms in -3*a**2 + 56*a**2 - 5*a**2 + 7*a - 521*a**3 - 7*a - 49*a**2. -521*a**3 - a**2 Collect the terms in 16 - 27*l - 4*l + 5887*l**2 - 5888*l**2. -l**2 - 31*l + 16 Collect the terms in -7 + 6 + 1350731*a**3 - 2701440*a**3 + 1 + 1350706*a**3. -3*a**3 Collect the terms in -30 + 66*a - 35 + 10 + 115 - 24 - 36. 66*a Collect the terms in 9027 - 18061 + 9015 - 3*q**2. -3*q**2 - 19 Collect the terms in 297*x**3 + 568*x**3 + 8*x**2 - 867*x**3. -2*x**3 + 8*x**2 Collect the terms in 111*w - 2005*w**2 + 91*w - 304*w + 500*w**2 + 102*w. -1505*w**2 Collect the terms in 67988*y**3 + 21*y + 25*y - 46*y. 67988*y**3 Collect the terms in -89*a**2 + 259*a**2 - 83*a**2 - 89*a**2 + 2 + 2416*a - 3. -2*a**2 + 2416*a - 1 Collect the terms in -7*n**2 - 43 - 2076*n + 2076*n + 50 - 8*n**2. -15*n**2 + 7 Collect the terms in -18009*p**3 + 36118*p**3 - 18092*p**3. 17*p**3 Collect the terms in o**3 - 16434*o - 2 - 2 + 4 - 3*o**3 + 16436*o. -2*o**3 + 2*o Collect the terms in -10*o**2 + 9070 - 3102 - 2867 - 3101. -10*o**2 Collect the terms in -5054*l + 0 + 10101*l + 29 + 8 - 5049*l. -2*l + 37 Collect the terms in -79*o**2 - 39 - 176*o**2 + 1298*o**2 + 1790*o**2. 2833*o**2 - 39 Collect the terms in -129*j + 277*j - 10 - 122*j. 26*j - 10 Collect the terms in 2*b**2 + 7203*b**3 + 2*b**2 + 31529*b**3 - 4*b**2. 38732*b**3 Collect the terms in -1269 - 1270 + 5016 - 1201 - 1276 - 3*m + m. -2*m Collect the terms in 3181*p**2 - 18401*p**2 + 2399*p**2. -12821*p**2 Collect the terms in -859520*d + 1719454*d - 859934*d + 2*d**3. 2*d**3 Collect the terms in -115 - 768 - 126*g + 515 - 712 + 164*g. 38*g - 1080 Collect the terms in -65587*v + 46361*v + 19227*v. v Collect the terms in 105196*a + 567352*a + 537012*a - 398448*a + 340663*a. 1151775*a Collect the terms in -11991 - 902*n + 23985 - 11994. -902*n Collect the terms in -11650 + 5750 - 2*x**2 + 5961. -2*x**2 + 61 Collect the terms in -414*t**2 + 64*t**2 - 796*t**2 + 122 - 2*t - 108. -1146*t**2 - 2*t + 14 Collect the terms in 1786*o**3 - 126*o**2 + 126*o**2 + 1201*o**3. 2987*o**3 Collect the terms in 0*g**2 + 312*g - 743*g + 884*g + g**2. g**2 + 453*g Collect the terms in 1453*g + 784*g + 65*g
{ "pile_set_name": "DM Mathematics" }
-21 Let j(s) = 3*s**3 - 7*s**2 + 8. Let a(v) = -4*v**3 + 8*v**2 - v - 9. Let z be (-2 + 5)/(-3) - -3. Let q(y) = z*a(y) + 3*j(y). Determine q(5). -4 Let v be 6/(2 - -1 - 1). Suppose 0 = -w + v*s + 15, -w = -7*s + 3*s - 19. Suppose 1 = -2*c + w. Let d(r) = 8*r**2 + r - 1. Determine d(c). 8 Let j(p) = -24 - 12 + 3*p**2 + 71 - 2*p**2 - 23 + 8*p. Give j(-4). -4 Let k(f) = -f**3 + 3*f**2 + 3*f - 2. Suppose 28*g - 23*g - 145 = 0. Let p = g - 25. Give k(p). -6 Let a(k) be the first derivative of k**2/2 + 2*k + 93. Suppose 11 = 2*z - 3*z + 5*v, 5*z + 35 = 5*v. Calculate a(z). -4 Let u(z) = -z**3 + 5*z**2 + 17*z - 78. Let m be u(4). Let h(p) = p**3 - 7*p**2 + 7*p - 7. Determine h(m). -1 Let q be (1*(1 + -12))/1. Let m = q + 8. Let u(k) = -11*k**2 - 12*k - 6. Let p(l) = 4*l**2 + 4*l + 2. Let z(y) = -8*p(y) - 3*u(y). Calculate z(m). -1 Let t(i) = -i**2 - 4*i - 1. Let q(a) = -a**3 - 10*a**2 - a + 1. Let s be q(-10). Suppose -3*w + s*w + 56 = 0. Calculate t(w). -22 Suppose 0 = -r + q + 3, -2*r - 5*q + 8 = 2. Let k(t) = -t**3 + t**2. Let w = 0 - -3. Let g(l) = -2*l**3 + l**2 - l - 4. Let o(j) = w*k(j) - g(j). What is o(r)? -2 Let z(q) be the first derivative of -3*q**2/2 + 10*q + 1. Let l be z(5). Let d(j) = 4*j + 4. What is d(l)? -16 Suppose -5*o + 3 = -i, -o - 2 + 4 = 0. Let t(v) = -10*v**2 - 9*v**3 + 10*v**3 - 2*v**2 + 6*v**2 - 6*v - 4. Give t(i). 3 Let s(f) = -7 - 5 - 7 + 278*f - 137*f - 144*f. What is s(-9)? 8 Let a(i) be the third derivative of 2*i**3 - 3/8*i**4 - 7/60*i**5 + 0*i + 1/120*i**6 + 2*i**2 + 0. Give a(8). 4 Let n = 26 - 23. Suppose 4*b = -3*f - 2*f + 21, -n*b = f - 2. Let k(i) = -20*i + 1. Determine k(b). 21 Let w(h) = h**2 + 12*h. Let f(k) = -3*k**2 + 6*k + 12. Let q be f(-2). What is w(q)? 0 Let z(d) = -5*d - 8. Let m(w) = 9*w + 17. Let s(p) = -p**3 + 6*p**2 + 2*p - 5. Let h be s(6). Let a(n) = h*z(n) + 4*m(n). Determine a(-7). 5 Let y(g) be the first derivative of g**4/4 - 5*g**3/3 - 4*g - 161. Give y(5). -4 Suppose -5*s + 47 = 6*l - 7*l, 4*s = -l + 34. Let j(h) = 0 - 2 - h**2 + 11*h + h - s*h. What is j(-3)? -20 Let u(i) = -3*i + 1. Suppose 0 = -2*d + 115 - 45. Suppose -6*p + d = p. Calculate u(p). -14 Let g(f) = -16*f + 29. Let a(j) = 9*j - 15. Let u(y) = -11*a(y) - 6*g(y). Calculate u(-6). 9 Let x(t) be the first derivative of -t**2 - 2*t - 537. Give x(2). -6 Suppose 4 = -4*j, 2*l - 3*l + 5*j + 6 = 0. Let y be 0*l/2 + 5. Let b(g) be the first derivative of -g**4/4 + 2*g**3 - 2*g**2 - g - 38. Give b(y). 4 Let d(n) = 4*n**2 + 12 + 5*n - 2*n**3 - 7 + 3*n**3. What is d(-4)? -15 Let c(o) = 1 - 899*o**3 - 9*o**2 + 898*o**3 + 4 - 8*o. Calculate c(-7). -37 Let d = 285 - 291. Let b(v) = -11*v - 62. What is b(d)? 4 Let h(p) = p**3 + 10*p**2 + 9*p + 4. Let i be -1 - ((-2)/(-4))/((-4)/(-24)). Let s be (i - -1)*(13 + -10). What is h(s)? 4 Suppose 0*l - 3*l + 4*d = 29, -37 = 4*l - 5*d. Let n be l/(-3)*-3*-2. Let b = n + -4. Let c(g) = 2*g**2 - 3*g. Calculate c(b). 2 Let v(p) = p + 15. Let a(s) = s**2 + s - 24. Let w be a(5). Suppose -10*f + w*f = 0. Calculate v(f). 15 Let d(y) = -16*y**2 + 3*y - 11. Let v(k) = 68*k**2 - 11*k + 47. Let c(o) = 9*d(o) + 2*v(o). Determine c(1). -8 Let k(g) = 8*g**2 - 9*g + 6. Let i(z) = 19*z**2 - 18*z + 12. Let s(r) = 2*i(r) - 5*k(r). What is s(7)? -41 Let x(c) = c + 1. Let d(k) = -k**2 - 18*k + 54. Let b(j) = -d(j) + 3*x(j). Give b(-23). -5 Let t be (-4)/(-3)*(-3)/2. Let x(d) be the second derivative of -d**4/6 - d**3/3 - 6*d + 7. Give x(t). -4 Let u(a) = -37*a**2 + 3*a + 98. Let q(m) = -13*m**2 + m + 33. Let b(g) = -17*q(g) + 6*u(g). What is b(0)? 27 Let y(r) = 2*r**2 + 8*r - 2. Let d(i) = -i**2 - i - 1. Let k(s) = 3*d(s) + y(s). Let o = 8 - 4. Determine k(o). -1 Let u(y) be the second derivative of y**5/20 + 5*y**4/12 - y**3 + y**2/2 - 5*y + 6. Let n = 37 + -43. Calculate u(n). 1 Let u = 2 + -6. Let v(d) = 6833*d - 13653*d + 6821*d + 8. What is v(u)? 4 Let g(p) = 7*p - 25. Let i(l) = -6*l + 23. Let x(u) = 5*g(u) + 6*i(u). What is x(-9)? 22 Let h be 1*3/(-3) + -3 + 8. Let a(p) = 4*p - 5. Calculate a(h). 11 Let q(t) = -t**3 - 4*t**2 - 2*t + 2. Let u(c) = c**2 + 8. Let d be u(0). Suppose -4*h + 6*h = d. Suppose h*r - 3 = -15. Give q(r). -1 Let k(b) = b**2 + 10*b + 12. Suppose -3*z - 29 = 2*q, 3*q - 16 = 2*z + q. Let n be k(z). Let h(r) = r**2 + 2*r - 3. Give h(n). 12 Let b(u) be the first derivative of 5*u**2/2 + 1. Let d be b(-1). Let w(g) = -2*g - 7. Let t(a) = 6*a + 22. Let k(m) = -2*t(m) - 7*w(m). Give k(d). -5 Let g(a) = -a**3 - 2*a**2 + 4*a - 2. Let d(w) = w - 3. Let j be d(0). Let h = -15 + 14. Let o = h - j. Give g(o). -10 Let m(b) = 5*b**2 - 9*b + 9. Let u(s) = -27*s**2 + 47*s - 46. Let r(x) = -11*m(x) - 2*u(x). Calculate r(5). -7 Let t(c) = -c**3 + c**2 + 6*c + 2. Let o(s) = 3*s**3 - 3*s**2 - 17*s - 5. Let z(q) = -3*o(q) - 8*t(q). Suppose 0 = -206*w + 204*w, 2*w + 15 = 5*j. Give z(j). -10 Suppose 0 = -3*h - h - 52. Let y(r) = r**2 + 14*r + 19. Let n be y(h). Let u(c) = -c**3 + 5*c**2 + 6*c - 6. Calculate u(n). -6 Suppose -1 = -4*i - r, -2 + 1 = 5*i - r. Let q be 1 - 3/(i - 1). Suppose 4*x + x = -3*f + 43, -q*f = 5*x - 49. Let j(n) = -n**2 + 4*n + 7. Give j(f). -5 Let w(f) = 3*f - f**2 + 6*f + 3*f + 332 - 344. Give w(12). -12 Suppose -7*m + 45 = -2*m. Suppose 0 = 4*p - 3*p + 4*d + m, -d - 3 = 0. Let n(a) = -a**2 + 5*a - p*a - 3*a - 11. Determine n(0). -11 Let l(t) = -t**2 + 5*t + 6. Let s be l(6). Let h = -3 + 5. Let y(w) = -w - 1. Let b(z) = -5*z - 3. Let i(v) = h*b(v) - 9*y(v). Give i(s). 3 Let m = -2 + 6. Suppose 5 = u + m*u. Let a(c) = c**2 + 11*c - 11. Let s(q) = -2*q**2 - 13*q + 13. Let x(l) = -7*a(l) - 6*s(l). Calculate x(u). 5 Let g(f) = -2*f - 9 - 9*f - 3*f - f + 16*f. Determine g(8). -1 Let g(r) = 21334 - 21337 + 3*r - 2*r. Suppose -3*c + 3*f - 36 = 0, -c = 2*f + 3*f - 18. What is g(c)? -10 Let u(x) be the first derivative of x**4/4 - 4*x**3/3 + x**2/2 + x + 760. Let b = -16 - -23. Suppose 4*t = z - 2, -z + 2*t + 2 = b*t. Give u(z). -5 Let i(b) = -7*b**3 + 26*b**2 + 12*b - 3. Let c(k) = 6*k**3 - 23*k**2 - 12*k + 2. Let r(u) = 6*c(u) + 5*i(u). Calculate r(9). -30 Let o(b) = 227 + 7*b - 76 - 74 - 81 + b**2. Give o(-6). -10 Let y = -360 + 368. Let x(t) be the first derivative of -t**3/3 + 4*t**2 + 7*t - 2. Give x(y). 7 Let f be (-77)/(-5) + (-12)/30. Suppose -3*w - f = -3*n, 4*w - 2*w = -2. Let l(u) = -u**3 + 3*u**2 + 6*u - 5. What is l(n)? 3 Let m(c) be the third derivative of c**4/6 - 5*c**3/6 - c**2. Let j = 157 - 153. Determine m(j). 11 Suppose 113*z - 114*z + 1 = 0. Let h(c) = -c. Calculate h(z). -1 Let o(c) = 0 + 4 + 450*c**2 + 0 + 464*c**2 - 913*c**2 - 5*c. Let q(r) = -r - 14. Let b be q(-6). Let a = b - -12. Give o(a). 0 Let j be ((-20)/(-10))/(2*1). Let v be 0*(-4)/16 + j. Let d(u) = 2 + v - 3 + 3 - u**2 + 6*u. Determine d(6). 3 Let q be (-4 - (-28)/4) + 3. Let p(b) be the second derivative of b**4/12 - 5*b**3/6 - 7*b**2/2 - 9*b + 2. Determine p(q). -1 Let z(q) be the first derivative of -4*q**2 - q - 24. Determine z(-2). 15 Let o(m) = m**2 + 2*m - 7. Suppose 53*d - 43*d + 60 = 0. Determine o(d). 17 Let a(d) = 3*d**2 + 11*d - 24295 + 24298 - 8*d - 2*d**3. What is a(3)? -15 Let w(m) = -m**3 - 4*m**2 + 2*m. Let p be ((-56)/6)/((-2)/3). Let g = p + -18. Give w(g). -8 Let o(x) be the third derivative of x**4/12 - x**3/6 + 2*x**2. Suppose n - 2*n = 5. Calculate o(n). -11 Let n(m) = 0*m**3 + 8*m**2 + 0*m**3 - 4*m - 7 - m**3. Let z be -4 - 4/((-4)/9). Suppose -4*d - 3*v = -13, -2*v = -5*d + z + 40. Give n(d). 14 Let z(k) = k**2 - 4*k. Suppose 0 = 18*c - 4*c - 42. Give z(c). -3 Let a(k) = k**3 + 4*k**2 - 5*k + 3. Let t be a(-5). Suppose 5*p + 2 + t = 0. Let d(v) = -v - 1. Let w(y) = -1. Let x(c) = d(c) - w(c). Give x(p). 1 Let y(o) = o**3 - 17*o**2 + 15*o + 7. Let b be y(16). Let d(f) be the second derivative of -f**3/2 - 3*f**2 - 3*f - 4. Give d(b). 21 Let s(m) be the first derivative of 2/3*m**3 - 7*m + 2*m**2 + 23. Determine s(-5). 23 Let d(y) = y**2 + 17*y + 78. Let l be d(-10). Let n(b) = 6 + 3*b - 3 - 2*b. Calculate n(l). 11 Let a(v) = 4*v**3 + v**2 - v. Let i(y) = -9*y**3 + 5*y**2 - 7*y. Let w(l) = 2*a(l) + i(l). Determine w(4). 12 Suppose -w + 2 = 5*b - 7, 0 = -w + 5*b - 1. Let j(r) = -r**3 + 5*r**2 + 3*r - 1. Give j(w). 27 Let n(t) = -t**2 + 1. Suppose -7*o = -16 + 23. What is n(o)? 0 L
{ "pile_set_name": "DM Mathematics" }
) = 6*s + 3. Calculate c*r(a) + 5*o(a). 2*a - 1 Let r = 2 + 2. Suppose -d = 2*d + u - 7, -5*u - 41 = -r*d. Let t(f) = -f**3 + f - 1. Let k(x) = 3*x**3 - 3*x + 4. Give d*t(a) + k(a). -a**3 + a Let k(q) = -8*q**2 + 5*q - 6. Let l be 1*-1*88/(-8). Let g(p) = -3*p**2 + 2*p - 2. Determine l*g(z) - 4*k(z). -z**2 + 2*z + 2 Let q(y) = -15*y**3 + 2*y**2 + 4*y - 4. Let t(o) = 29*o**3 - 4*o**2 - 9*o + 9. Give 9*q(c) + 4*t(c). -19*c**3 + 2*c**2 Let n(t) = 83*t**3 + 5*t + 5. Let r(z) = 4524*z**3 + 273*z + 273. Determine -273*n(q) + 5*r(q). -39*q**3 Let b(s) = 10*s**2 - 4*s - 4. Let l(g) = 40*g**2 - 15*g - 15. Determine 15*b(d) - 4*l(d). -10*d**2 Let o = -2 + 7. Let d(p) = 3*p**2 + p + 6. Let h(k) = -2*k**2 - k - 4. Give o*d(u) + 8*h(u). -u**2 - 3*u - 2 Let p = 3 - 1. Suppose p*o - 9 + 5 = 0. Let n(w) be the second derivative of 5*w**3/6 + 2*w**2 - w. Let f(r) = r + 1. Calculate o*n(c) - 9*f(c). c - 1 Let v(c) = -2*c**2 - 7*c - 2. Suppose -9*h + 4*h - 60 = 0. Let y(i) = -i - 23. Let o be y(h). Let d(b) = b**2 + 4*b + 1. Determine o*d(k) - 6*v(k). k**2 - 2*k + 1 Let l be (-88)/20 + 4/10. Let c = l + 3. Let s(g) = 2*g**3 - 4*g**2 - 4*g - 4. Suppose 20 = -2*o + 7*o. Let x(u) = u**3 - u**2 - u - 1. What is c*s(f) + o*x(f)? 2*f**3 Let p(d) = -1. Let m(b) = 3*b - 6 - 14 + 19. What is m(v) - 3*p(v)? 3*v + 2 Let v(w) = 14*w**2. Let m(u) = -13*u**2. Determine -3*m(j) - 2*v(j). 11*j**2 Let y = 10 - 16. Suppose -2 = 2*z + 2*c, 2*c - 5 = 5*z + 6*c. Let u(d) = -d**3 + 6*d**2 - 7*d + 8. Let l(k) = -k**2 + k - 1. Determine y*l(f) + z*u(f). f**3 + f - 2 Let k(z) = 38*z - 5. Let h(w) = -39*w + 4. What is -5*h(m) - 4*k(m)? 43*m Let k(l) = -22*l + 10. Suppose -2*q = -0*q + 10. Let y = 13 + -8. Let i(u) = -2 - 7*u + 0 + y. Determine q*k(g) + 16*i(g). -2*g - 2 Let a(h) = -11*h**2. Let u(y) = 4*y**2. Determine -3*a(j) - 8*u(j). j**2 Let d(n) = n**3 + n**2 - n. Suppose 0 = f + 6*f - 7. Let g(p) = 2*p**2 - 4*p. What is f*g(z) - 2*d(z)? -2*z**3 - 2*z Let c(g) = -8*g - 3. Let y(t) = -8*t - 4. Let z(v) = -3*c(v) + 2*y(v). Let d be 12/(-2)*1/1. Let f(o) = 7*o + 1. Determine d*z(u) + 7*f(u). u + 1 Let q(w) = w. Let b(u) = 14*u + 2. Suppose -3*h + 20 = h. Suppose -h*t - 4 = -t. What is t*b(k) + 12*q(k)? -2*k - 2 Let l(x) = 3*x**3 + 3 - 5 - 7*x**3. Let u be 2/(-4) - 15/6. Let g(m) = 9*m**3 + 4. Let v(j) = j**2 - 5*j - 7. Let w be v(5). Determine u*g(f) + w*l(f). f**3 + 2 Let v(h) = h - 3. Let l be v(-2). Let r(s) = -49*s**2 - 21*s + 21. Let k(q) = 12*q**2 + 5*q - 5. What is l*r(f) - 21*k(f)? -7*f**2 Let u(j) = -3*j + 6. Let b(q) = -q + 2. Determine 17*b(m) - 6*u(m). m - 2 Let l(z) = 4*z**2 + z**3 - 3*z - 2*z**3 - z. Let j be l(3). Let r(w) = 4*w - 2. Let k(i) = -3*i + 1. Let b be -3*(1/(-3) - -1). Determine b*r(s) + j*k(s). s + 1 Let c(f) = -6*f**3 + f**2 - 2*f + 2. Let a(k) = -31*k**3 + 6*k**2 - 11*k + 10. What is -2*a(d) + 11*c(d)? -4*d**3 - d**2 + 2 Let c(j) = -3*j**2 + 5*j**3 - j**2 - 17 - 5*j**2. Let h(b) be the third derivative of -b**6/120 + b**5/30 + 2*b**3/3 - 2*b**2. Determine 2*c(y) + 9*h(y). y**3 + 2 Let p(s) = -s**3 - 1. Let h(o) = -8*o**3 - 7. Suppose 5*m = 4*m - 3. Let q be 2 + (3 + m)*-1. What is q*h(i) - 14*p(i)? -2*i**3 Let v(n) = -3*n. Let j(g) = -4*g. Let r(s) = 4*j(s) - 5*v(s). Let c be (-6)/(-2)*2/(-6). Let d(m) = -m**3 + 2*m**2 - 2*m. Determine c*d(p) + 2*r(p). p**3 - 2*p**2 Suppose 2*i - 3 = i. Let s(a) = -4*a + 3. Let w(x) = -x + 1. Determine i*w(r) - s(r). r Let g be ((-10)/7)/((-80)/140). Let s(z) be the second derivative of 3*z + 0 + g*z**2 + 0*z**3 + 1/6*z**4. Let n(m) = 2*m**2 + 6. Calculate 5*n(p) - 6*s(p). -2*p**2 Let x(n) = 4*n + 17. Let u(h) = -h - 4. Calculate -26*u(f) - 6*x(f). 2*f + 2 Let k(o) = -2*o + 1. Let i = 173 - 176. Let l(c) = c. Let y(q) = -2*q. Let x(f) = -5*l(f) - 3*y(f). Calculate i*x(p) - k(p). -p - 1 Let k(a) = 4*a**2 - 3*a + 1. Let g(j) = 7*j**2 - 5*j + 3. Suppose -2 = p + 1. What is p*g(f) + 5*k(f)? -f**2 - 4 Let x(y) = 6*y + 1. Let q(v) = 3*v. What is -5*q(o) + 3*x(o)? 3*o + 3 Let v(i) = 13*i - 4. Let k(j) = -7*j + 2. Determine -7*k(d) - 4*v(d). -3*d + 2 Let p(b) = -15*b + 2. Suppose -3*z + 0 = 6, 5*z = -5*q + 20. Let c be (11/(-2))/((-2)/(-4)). Let l(k) = 2*k - 2*k - 8*k + 1. What is c*l(r) + q*p(r)? -2*r + 1 Let a(j) = -3*j**2 + 5. Let u = -22 - -27. Let w(n) = -3*n**2 - 4*n + 4. Let y(o) = -3*o**2 - 3*o + 4. Let b(s) = -3*w(s) + 4*y(s). Determine u*b(c) - 4*a(c). -3*c**2 Let a(i) = 2*i**3 - i**2 + 13 - i**2 + i - 11. Let f(z) = z**2 + 5*z + 1. Let k be f(-5). Let o(x) = -x**2 + x. Give k*a(r) - 2*o(r). 2*r**3 - r + 2 Let c(n) be the second derivative of -n**3/3 + 4*n**2 - 26*n. Let o(h) = 1. Calculate c(d) - 6*o(d). -2*d + 2 Let s(x) = -13*x**3 + 3*x**2 - 4*x. Let h(l) be the second derivative of -3*l**5/20 + l**4/12 - l**3/6 + 12*l. What is 9*h(m) - 2*s(m)? -m**3 + 3*m**2 - m Let x(h) = -h. Let j(m) = -m**3 - 14*m**2 - 7*m. Calculate j(l) - 5*x(l). -l**3 - 14*l**2 - 2*l Let g(p) be the second derivative of p**3/6 - p. Let l(a) = -a**2 + 2*a. Suppose s - 6 = k + 3*k, 5*k = -3*s - 16. Calculate k*g(x) + l(x). -x**2 Let r(j) = -2*j + 2. Let s = -14 - -10. Let p(v) = v**3 - 3*v + 3. Give s*p(y) + 6*r(y). -4*y**3 Suppose 3*y = 2 + 1. Let s(h) = 2*h**2 - 4*h + 5. Let u(x) = x**2 - x + 1. Suppose 0 = 2*m + 6 + 2. What is m*u(k) + y*s(k)? -2*k**2 + 1 Let c(p) = 6*p**3 - 3*p + 7. Let d(f) be the third derivative of 7*f**6/120 - f**4/6 + 4*f**3/3 + 7*f**2. Determine 6*c(t) - 5*d(t). t**3 + 2*t + 2 Let g be -27*3/(-18)*(-8)/6. Let w(m) = -5*m**2 + 8*m + 2. Let o(x) = 6*x**2 - 9*x - 2. What is g*o(k) - 7*w(k)? -k**2 - 2*k - 2 Let b(q) = -q. Suppose -x = -6*x + 45. Let m = x - 8. Let f(h) be the third derivative of -h**5/60 + h**4/8 + h**2. What is m*f(g) + 3*b(g)? -g**2 Let x(z) = 4*z + 1. Let v(y) = y + 1. Calculate -3*v(t) + x(t). t - 2 Let s(z) = -5*z - 10. Let d(v) = -v - 2. Let r be (4 + -2)*(0 + -1). What is r*s(l) + 11*d(l)? -l - 2 Suppose -o = 5*s + 11, -3*o - 3 = 5*s + 10. Let p(k) = 15*k**2. Let i(u) = u**2. Determine o*p(c) + 20*i(c). 5*c**2 Let t(i) = 3*i**3 + i + 5. Let l(u) = 2*u**3 + u + 6. What is -3*l(k) + 4*t(k)? 6*k**3 + k + 2 Let f = 26 + -22. Let c(x) = -3*x**3 - x**2 - 4*x + 2. Let y(w) = 4*w**3 + w**2 + 5*w - 3. Give f*y(m) + 5*c(m). m**3 - m**2 - 2 Let v(b) = b**3 + b. Let h(c) be the second derivative of -c**5/4 - c**3 - c**2/2 - 6*c. What is -h(t) - 4*v(t)? t**3 + 2*t + 1 Let w(y) = -4*y**2 - 3*y - 8. Let j(h) = -8*h**2 - 7*h - 17. Give 4*j(o) - 9*w(o). 4*o**2 - o + 4 Let q(u) = 2. Let t(n) = n - 4. Give 9*q(r) + 4*t(r). 4*r + 2 Let u(o) = 2*o**3 + o**2 + 3*o + 3. Let k(n) be the first derivative of -n**2 - 2*n - 1/4*n**4 + 0*n**3 - 3. Give -3*k(d) - 2*u(d). -d**3 - 2*d**2 Let h(m) be the first derivative of -m**4/4 + 4*m**3/3 + 2*m**2 - 1. Let i = -6 - -7. Let v(t) = t**2 + t. Calculate i*h(a) - 4*v(a). -a**3 Let z(n) be the first derivative of 4*n**3/3 + 5*n**2/2 - 5*n + 2. Let o(v) = -v - 4*v**2 + 2 + 2*v**2 - v. Determine 5*o(k) + 2*z(k). -2*k**2 Let a(n) = -25*n**3 + 4*n**2 - 4. Let j(d) = -51*d**3 + 9*d**2 - 9. What is -9*a(k) + 4*j(k)? 21*k**3 Let x(b) = 1 + 4*b**2 - 6*b**2 - 1. Suppose 2*z = 6*z - 5*f - 18, -2*f - 14 = -5*z. Let g(n) = 2*n - 2*n - n**2. Calculate z*x(r) - 6*g(r). 2*r**2 Let x(d) = d + 7. Let v(r) = r + 10. Suppose -5 = -4*s - f, 1 + 4 = f. Suppose -4*h = -s*h - 20. Determine h*v(p) - 7*x(p). -2*p + 1 Let c(h) = -h - 1. Suppose 0 = -3*m + 5*m - 8. Let a = -4 - m. Let d = -7 - a. Let y(k) = -3*k - 2. Give d*y(x) - 4*c(x). x + 2 Let m(z) be the first derivative of -3*z**4/2 + 2*z**3 + 2*z**2 - 4*z - 10. Let b(u) = -5*u**3 + 5*u**2 + 3*u - 3. What is -4*b(r) + 3*m(r)? 2*r**3 - 2*r**2 Let k(c) = c**2 + 8*c. Let b(w) = -4*w**2 - 31*w. Calculate 2*b(l) + 9*k(l). l**2 + 10*l Let o(b) = 2*b**3 - 2*b. Let x(n) = -n. Suppose 61*j - 14 = 54*j. Give j*o(f) - 4*x(f). 4*f**3 Let c(a) = -9*a**2 - 6*a + 2. Let t(s) = -26*s**2 - 17*s + 6. Determine -8*c(g) + 3*t(g). -6*g**2 - 3*g + 2 Let x be 5/((0 - -2) + -1). Suppose -2*m + 0*m + 3*y = -7, 0 = y + 5. Let b(n) = -2*n**2 - 2*n + 4. Let a(j) = -2*j**2 - 2*j + 5. What is m*a(o) + x*b(o)? -2*o**2 - 2*o Let t(f) be the second derivative of -f**3/6 + 26*f. Suppose 3 = -4*a + 7. Let q(p) = 7*p + 1. Determine a*q(u) + 5*t(u). 2*u + 1 Let q(f) = f**3 - 2*f**2 + 2
{ "pile_set_name": "DM Mathematics" }
t of 284 to the nearest integer? 2 What is 5656 to the power of 1/2, to the nearest integer? 75 What is 56645 to the power of 1/4, to the nearest integer? 15 What is 3386 to the power of 1/3, to the nearest integer? 15 What is 681 to the power of 1/6, to the nearest integer? 3 What is 23499 to the power of 1/9, to the nearest integer? 3 What is 46431 to the power of 1/4, to the nearest integer? 15 What is the square root of 1167 to the nearest integer? 34 What is 16098 to the power of 1/7, to the nearest integer? 4 What is the eighth root of 8482 to the nearest integer? 3 What is 30032 to the power of 1/9, to the nearest integer? 3 What is the eighth root of 4341 to the nearest integer? 3 What is the tenth root of 10973 to the nearest integer? 3 What is the eighth root of 7819 to the nearest integer? 3 What is 35134 to the power of 1/6, to the nearest integer? 6 What is 24469 to the power of 1/10, to the nearest integer? 3 What is the seventh root of 56876 to the nearest integer? 5 What is the eighth root of 877 to the nearest integer? 2 What is the ninth root of 30671 to the nearest integer? 3 What is the fourth root of 1488 to the nearest integer? 6 What is the square root of 3000 to the nearest integer? 55 What is the tenth root of 1456 to the nearest integer? 2 What is 3797 to the power of 1/4, to the nearest integer? 8 What is the third root of 2090 to the nearest integer? 13 What is the eighth root of 22132 to the nearest integer? 3 What is 87376 to the power of 1/2, to the nearest integer? 296 What is 75500 to the power of 1/9, to the nearest integer? 3 What is 353 to the power of 1/9, to the nearest integer? 2 What is 1649 to the power of 1/4, to the nearest integer? 6 What is the cube root of 1493 to the nearest integer? 11 What is 1416 to the power of 1/3, to the nearest integer? 11 What is 2255 to the power of 1/10, to the nearest integer? 2 What is 3053 to the power of 1/7, to the nearest integer? 3 What is 2872 to the power of 1/2, to the nearest integer? 54 What is the cube root of 3092 to the nearest integer? 15 What is the cube root of 67250 to the nearest integer? 41 What is the cube root of 1604 to the nearest integer? 12 What is the sixth root of 11535 to the nearest integer? 5 What is the third root of 143335 to the nearest integer? 52 What is the cube root of 60353 to the nearest integer? 39 What is 24213 to the power of 1/3, to the nearest integer? 29 What is the square root of 1637 to the nearest integer? 40 What is 9816 to the power of 1/3, to the nearest integer? 21 What is the square root of 177763 to the nearest integer? 422 What is the fourth root of 2959 to the nearest integer? 7 What is 2802 to the power of 1/3, to the nearest integer? 14 What is the third root of 16437 to the nearest integer? 25 What is 3288 to the power of 1/2, to the nearest integer? 57 What is the cube root of 27733 to the nearest integer? 30 What is 112 to the power of 1/2, to the nearest integer? 11 What is 15796 to the power of 1/9, to the nearest integer? 3 What is 5395 to the power of 1/7, to the nearest integer? 3 What is 852 to the power of 1/9, to the nearest integer? 2 What is 95463 to the power of 1/9, to the nearest integer? 4 What is 190408 to the power of 1/2, to the nearest integer? 436 What is the sixth root of 28777 to the nearest integer? 6 What is 11285 to the power of 1/2, to the nearest integer? 106 What is 1361 to the power of 1/3, to the nearest integer? 11 What is the sixth root of 1736 to the nearest integer? 3 What is 3579 to the power of 1/10, to the nearest integer? 2 What is 1430 to the power of 1/2, to the nearest integer? 38 What is the square root of 1224 to the nearest integer? 35 What is 2644 to the power of 1/7, to the nearest integer? 3 What is the cube root of 37533 to the nearest integer? 33 What is the third root of 2795 to the nearest integer? 14 What is 3495 to the power of 1/9, to the nearest integer? 2 What is the fourth root of 17834 to the nearest integer? 12 What is 263 to the power of 1/4, to the nearest integer? 4 What is the tenth root of 500 to the nearest integer? 2 What is 2351 to the power of 1/3, to the nearest integer? 13 What is the fourth root of 19882 to the nearest integer? 12 What is 57735 to the power of 1/3, to the nearest integer? 39 What is the square root of 17499 to the nearest integer? 132 What is the third root of 36399 to the nearest integer? 33 What is 32262 to the power of 1/2, to the nearest integer? 180 What is 3561 to the power of 1/8, to the nearest integer? 3 What is 89959 to the power of 1/5, to the nearest integer? 10 What is the sixth root of 11886 to the nearest integer? 5 What is the ninth root of 1882 to the nearest integer? 2 What is 10251 to the power of 1/2, to the nearest integer? 101 What is 11966 to the power of 1/3, to the nearest integer? 23 What is the square root of 207 to the nearest integer? 14 What is 289 to the power of 1/9, to the nearest integer? 2 What is the third root of 22550 to the nearest integer? 28 What is 6926 to the power of 1/3, to the nearest integer? 19 What is 932 to the power of 1/2, to the nearest integer? 31 What is the eighth root of 270 to the nearest integer? 2 What is the ninth root of 145954 to the nearest integer? 4 What is the third root of 3159 to the nearest integer? 15 What is 13108 to the power of 1/5, to the nearest integer? 7 What is 923 to the power of 1/2, to the nearest integer? 30 What is the square root of 268 to the nearest integer? 16 What is 2783 to the power of 1/7, to the nearest integer? 3 What is 19 to the power of 1/2, to the nearest integer? 4 What is the tenth root of 4450 to the nearest integer? 2 What is the third root of 10064 to the nearest integer? 22 What is 65387 to the power of 1/2, to the nearest integer? 256 What is 21751 to the power of 1/6, to the nearest integer? 5 What is 1843 to the power of 1/2, to the nearest integer? 43 What is the fifth root of 604 to the nearest integer? 4 What is 11277 to the power of 1/6, to the nearest integer? 5 What is 76696 to the power of 1/2, to the nearest integer? 277 What is 27684 to the power of 1/2, to the nearest integer? 166 What is 645 to the power of 1/2, to the nearest integer? 25 What is the fifth root of 4107 to the nearest integer? 5 What is the third root of 2877 to the nearest integer? 14 What is the square root of 127162 to the nearest integer? 357 What is 1114 to the power of 1/8, to the nearest integer? 2 What is the cube root of 116661 to the nearest integer? 49 What is 1141 to the power of 1/3, to the nearest integer? 10 What is 1732 to the power of 1/2, to the nearest integer? 42 What is the third root of 534 to the nearest integer? 8 What is the eighth root of 6564 to the nearest integer? 3 What is the cube root of 44971 to the nearest integer? 36 What is the seventh root of 14285 to the nearest integer? 4 What is the square root of 17675 to the nearest integer? 133 What is the cube root of 2255 to the nearest integer? 13 What is the sixth root of 29502 to the nearest integer? 6 What is the fifth root of 2811 to the nearest integer? 5 What is 5639 to the power of 1/2, to the nearest integer? 75 What is 36864 to the power of 1/4, to the nearest integer? 14 What is the cube root of 33658 to the nearest integer? 32 What is 5826 to the power of 1/3, to the nearest integer? 18 What is 15762 to the power of 1/3, to the nearest integer? 25 What is the fifth root of 22024 to the nearest integer? 7 What is the cube root of 15009 to the nearest integer? 25 What is 29686 to the power of 1/10, to the nearest integer? 3 What is 2244 to the power of 1/9, to the nearest integer? 2 What is the fourth root of 791 to the nearest integer? 5 What is 56336 to the power of 1/2, to the nearest integer? 237 What is 117196 to the power of 1/2, to the nearest integer? 342 What is the third root of 5752 to the nearest integer? 18 What is the square root of 10434 to the nearest integer? 102 What is the eighth root of 5602 to the nearest integer? 3 What is the cube root of 33453 to the nearest integer? 32 What is the seventh root of 5254 to the nearest integer? 3 What is the eighth root of 23546 to the nearest integer? 4 What is the square root of 5303 to the ne
{ "pile_set_name": "DM Mathematics" }
l(k) = 7*k - 2. Calculate -11*l(v) - 4*x(v). 3*v + 2 Let n(j) = j**3 + 3*j. Let f(v) be the second derivative of v - 1/10*v**5 + 0*v**2 + 0*v**4 - 2/3*v**3 + 0. Let d = -3 - 0. Determine d*f(r) - 4*n(r). 2*r**3 Let c(q) be the first derivative of 4*q + 4*q**2 + 5 - 1/3*q**3. Let i(g) = 2*g**2 - 17*g - 9. Give -13*c(l) - 6*i(l). l**2 - 2*l + 2 Let d(p) = -9*p + 3. Let b(l) be the third derivative of 5*l**4/24 - l**3/3 - l**2. Suppose 4*j - 4 = k + 3*j, 23 = -2*k - 3*j. What is k*b(f) - 4*d(f)? f + 2 Let v(a) = 17*a**2 + 5*a + 9. Let q(y) = 16*y**2 + 4*y + 8. What is 6*q(k) - 5*v(k)? 11*k**2 - k + 3 Let k(f) be the first derivative of 3*f**2/2 + 7. Let o(x) = -4*x. Give -7*k(v) - 6*o(v). 3*v Let u(o) = 24*o. Let j(d) = -d. Calculate -2*j(c) + u(c). 26*c Let h(q) = q**2 - 9*q - 9. Suppose -2*k - 38 = i + 2*k, 100 = -5*i - 2*k. Let z(w) = 10 - 9 + 3*w + 3*w - 5*w. What is i*z(u) - 2*h(u)? -2*u**2 Let l(u) = 51*u**2 + 24*u - 4. Let d(m) = -17*m**2 - 8*m + 1. Let g(a) = 7*d(a) + 2*l(a). Let b(k) = 4*k**2 + 2*k. Calculate -9*b(r) - 2*g(r). -2*r**2 - 2*r + 2 Let j(c) = -11*c - 8. Let u(r) be the second derivative of 2*r**3/3 + 3*r**2/2 - 3*r + 9. Give -3*j(b) - 8*u(b). b Let h(w) = 27*w**3 - 15*w**2 - 15*w - 15. Let b(y) = -4*y**3 + 2*y**2 + 2*y + 2. What is 15*b(r) + 2*h(r)? -6*r**3 Let l(p) = -18*p**2 - 3*p. Let r(c) = 17*c**2 + 4*c. What is 4*l(f) + 3*r(f)? -21*f**2 Let q = -7 + 3. Let s(d) = -d - 6. Let i(l) be the third derivative of l**4/8 + 17*l**3/6 - 6*l**2. Give q*i(a) - 11*s(a). -a - 2 Let a(n) = 13*n - 20. Let m(x) = -6*x + 10. Give -4*a(o) - 9*m(o). 2*o - 10 Let l(x) = -2*x**3 + 5*x**2 - 4*x - 5. Let v be (1/(-6) - (-42)/36) + 4. Let g(j) = -2*j**3 + 6*j**2 - 5*j - 6. What is v*g(t) - 6*l(t)? 2*t**3 - t Let u(a) = a + 1. Suppose 0 = -4*f + 8, -f = 4*y + 3*f - 12. Suppose 0*d + 4*d = i + y, -d = -5*i + 14. Let h(c) = -c - 2. Give i*u(o) + 2*h(o). o - 1 Let v(w) = 6*w**3 - 17*w**2 - 17. Let u(n) = -2*n**3 + 6*n**2 + 6. Let m(l) = -17*l**2 + l - 1. Let q be m(1). Give q*u(s) - 6*v(s). -2*s**3 Let l(j) = j + 1. Let u(s) = -s**2 + 3*s + 3. Let o be (1/2)/((-6)/24). What is o*u(f) + 5*l(f)? 2*f**2 - f - 1 Suppose 3*c + 24 = -5*d, -4*c + 9 - 27 = 2*d. Let w(j) be the first derivative of -1 + 0*j + 1/2*j**2. Let p(r) = -r**3 - 3*r. Give d*w(h) - p(h). h**3 Let j be 3/4*(-7 + -1). Let u(y) = 4*y + 6. Let z(p) = -3*p + 2*p - 6 + 5. Determine j*z(x) - u(x). 2*x Let a(u) = 2*u + 6. Let r(b) = b + 1. What is a(c) - 3*r(c)? -c + 3 Let n(j) = 3*j + 4. Let s(l) = 3*l**3 + 2*l - 1. Let q be (-2)/(-2) + -1 + 1. Let b be s(q). Let k(x) = 5*x + 7. What is b*k(h) - 7*n(h)? -h Let a(t) = -t**2 - 4*t. Let u(m) = -5*m**2 - 16*m. Determine -9*a(w) + 2*u(w). -w**2 + 4*w Let x be ((-1)/(-2))/((-5)/(-110)). Let u(a) = 10*a - 4. Let r(d) = -d. Let p(m) = -12*r(m) - u(m). Let q(l) = 10*l + 21. Give x*p(z) - 2*q(z). 2*z + 2 Let h = 3 - -1. Let o(l) = l**3 + l**2 - 2*l. Let w(u) = u**3 + u**2 - 2*u. Calculate h*w(y) - 3*o(y). y**3 + y**2 - 2*y Let p(w) = -4*w + 1. Suppose 17*q = 13*q + 12. Let j(l) be the third derivative of 0*l + l**2 + 0*l**3 - 1/24*l**4 + 0. Give q*j(x) - p(x). x - 1 Let m(f) = -9*f + 9. Let c(s) = 4*s - 4. Calculate 5*c(p) + 2*m(p). 2*p - 2 Let j(w) = w**3 - w. Let i(b) = 7*b + 5*b - b**3 + 3*b**3 - 17*b**3. What is i(x) + 12*j(x)? -3*x**3 Let s(n) = -7*n**3 + 2*n**2 - 5*n - 5. Suppose 6 = -j + 3*j. Let v be -10*j*(-6)/18. Let z(p) = 3*p**3 - p**2 + 2*p + 2. Calculate v*z(x) + 4*s(x). 2*x**3 - 2*x**2 Let v(y) = -5*y + 9. Let f(r) = 7*r - 14. Determine 5*f(m) + 8*v(m). -5*m + 2 Let m(l) = l. Let g = -10 + 7. Let r(y) = -2*y + 112 - 112. What is g*m(b) - 2*r(b)? b Let t(k) = 0 - 5 + 2 - 4*k + 0. Suppose 0*r + 3*r + 33 = 0. Let x(n) = -2 + 21*n + 20 - 2. Determine r*t(w) - 2*x(w). 2*w + 1 Let w(q) = -15*q - 11. Let g(s) = 54*s - 26*s - 3 - 32*s. What is 22*g(j) - 6*w(j)? 2*j Let b(m) = 5*m - 2. Let j(w) = w. Give b(q) - 2*j(q). 3*q - 2 Let o(z) = 2*z - 3. Let l(p) = 4*p - 5. Give 6*l(b) - 10*o(b). 4*b Let g(m) = 2639*m**2. Let h(b) = 33*b**2. What is -4*g(n) + 319*h(n)? -29*n**2 Let m(u) = 893*u**2 - 47. Let r(d) = 94*d**2 - 5. What is -5*m(j) + 47*r(j)? -47*j**2 Let f = 40 - 29. Let l(b) = b - 10. Let k be l(f). Let g(h) = -h**2 + h - 1. Let j(z) = -5 - 18*z**2 - 7 + 4*z**2 + 12*z. Determine k*j(a) - 12*g(a). -2*a**2 Let n(d) = -d**2 - d - 1. Let t(w) = 11*w**2 + 9*w + 19. Let s(m) = 17*m + 30*m**2 + 28 - 3*m - 13*m**2. Let y(z) = 5*s(z) - 7*t(z). What is -14*n(b) - 2*y(b)? -2*b**2 Let b(s) = 61*s**3 - 5*s**2 - 5*s - 5. Let u(x) = 30*x**3 - 3*x**2 - 3*x - 3. Give 3*b(z) - 5*u(z). 33*z**3 Let x(s) = -2*s + 1. Let q(t) = t - 1. Give -2*q(r) + x(r). -4*r + 3 Suppose 3*b = 18 + 24. Let d(o) = -6 + 5*o**2 - 6*o + 0*o**2 + b*o - 3*o**2. Let x(q) = -q + 1. Give d(r) + 6*x(r). 2*r**2 + 2*r Let h(v) = v. Let i(u) = u. What is -h(m) - 5*i(m)? -6*m Let i(j) = 7 + 2 + 0 + 7*j**2 - j**2. Let x(t) = -3*t**2 - 4. Determine -4*i(w) - 9*x(w). 3*w**2 Let v(h) = 4*h**3 - 6*h**2 + 2*h - 5. Let t(z) = -12*z**3 + 17*z**2 - 6*z + 14. Give 6*t(g) + 17*v(g). -4*g**3 - 2*g - 1 Let a(o) = -2*o**3 + 2*o**2 + 3*o + 2. Suppose 0 = -4*i, -j - 3*i + 34 = -0*i. Let m(c) = -11*c**3 + 11*c**2 + 17*c + 11. Give j*a(p) - 6*m(p). -2*p**3 + 2*p**2 + 2 Let c(t) = -2*t**3 + t - 2. Let q(i) = -3*i**3 + 2*i - 5. Calculate -5*c(y) + 2*q(y). 4*y**3 - y Let t = -7/2 + 4. Let s(f) be the first derivative of -4 + f - t*f**2. Let b(c) = c**2 - 7*c + 7. Calculate 2*b(k) - 14*s(k). 2*k**2 Let k(d) = -20*d - 18. Let h(o) = -19*o - 19. Let w(y) = -3*h(y) + 2*k(y). Let a(p) = 4*p + 5. What is 9*a(f) - 2*w(f)? 2*f + 3 Let z(k) = -4*k**3 + 9*k**2 + 11*k. Let x(w) = -w**2 - 9*w - 2. Let j be x(-8). Let r = -46 - -33. Let u(y) = -2*y**3 + 4*y**2 + 5*y. Determine j*z(i) + r*u(i). 2*i**3 + 2*i**2 + i Let r(j) = j**2 + j - 9. Let a(w) = -w + 8. Let o(k) = 3*a(k) + 2*r(k). Let i(d) = 9 - 5 - 5 + 2. What is -4*i(q) + o(q)? 2*q**2 - q + 2 Let c(l) = -7*l**2 + 4*l - 9. Let m(r) = r - 1. Let h(i) = c(i) - 2*m(i). Let p(q) = 8*q**2 - 2*q + 8. What is 6*h(o) + 5*p(o)? -2*o**2 + 2*o - 2 Let z(i) = -4*i**3 + 11*i - 15. Let k(q) = 2*q**3 - 5*q + 7. Determine 9*k(f) + 4*z(f). 2*f**3 - f + 3 Suppose 2*t = 5*t + 4*i - 26, -4*t + 37 = 3*i. Let q = t - 17. Let d(p) = -3*p**2 - 3*p + 2. Let o(n) = -5*n**2 - 5*n + 3. Determine q*d(a) + 4*o(a). a**2 + a - 2 Let h(w) = w + 1. Suppose -3*x + 4*x = 3*a - 8, -4*x - 4*a + 16 = 0. Let n(f) = -3. Give x*n(i) + 3*h(i). 3*i Let g(v) = -v**2 - 3*v. Let u(c) = -c**2 - 2*c + 2. Let y be u(-3). Let d(b) = b. Let a(t) = -4*t. Let k(j) = -a(j) - 3*d(j). Give y*g(n) - 3*k(n). n**2 Let l(q) = q - 1. Let w(a) = -2*a - 8. What is -l(h) - w(h)? h + 9 Let l = -6 - -8. Let q = l + -9. Let g(j) = 1. Let c(b) = b**2 + b + 3. Determine q*g(f) + 2*c(f). 2*f**2 + 2*f - 1 Let n(o) = 2*o**3 - 2*o**2 - 4*o. Let l = -14 + 10. Let m = l + 6. Let w(u) = -u**3 - 3*u - u**m + 0*u**2 + 2*u**3. What is -3*n(d) + 4*w(d)? -2*d**3 + 2*d**2 Let o(a) = 746 - 9*a - 746. Let p(c) = 3*c. Give 3*o(y) + 8*p(y). -3*y Let q = 77 - 85. Let n(i) = -5*i**3 + 3*i**2 + 3*i. Let l(c) = -15*c**3 + 8*c**2 + 8*c. Determine q*n(y) + 3*l(y). -5*y**3 Let i(y) = -7*y + 10. Let l(z) = -6*z + 9. Let n(x) = -5*i(x) + 6*l(x). Suppose 0 = -4*s - o + 26, 4*s + o = s + 20. Let f(b) = -2*b + 7. Give s*f(g) - 11*n(g). -g - 2 Let i(v) = v**2 + v + 1. Let y be (-2 - 2 - -3)/(-1). Let k(n) = 2*n**2 - n**2 + 3*n + 2*n**2. What is y*i(c) - k(c)? -2*c**2 - 2*c + 1 Let h(d) = 4 - 2 - 3 + d**2. Let l(a) = -10*a**2 - 18*a + 7. Let c(s) = -s**2 - 3*s + 1. Let b(z) = -6*c(z) + l(z). Determine -b(w) - 2*h(w). 2*w**2 + 1 Let w(r) = -r - 1. Let a(y) = -6*y - 4. Give -a(z) + 2*w(z). 4*z + 2 Let o be (-10)/14 + (-4)/14. Let b(j) = -17*j + 13*j + 6*j + 7. Let v(y) = 1. Give o*b(d) + 6*v(d). -2*d - 1 Let a(h) = -3*h**2 + 4*h - 2. Let w(u) = 4*u**2 - 5*u + 3. Suppose 0 = 8*y + 10 + 30. Give y*a(k) - 4*w(k). -k**2 - 2 Let r(w) = -12*w - 55. Let z be r(-5). Let m(i) = 60*i**3 - 18*i**2 + 18. Let c(d) = 17*d**3 - 5*d**2 + 5. What is z*m(a) - 18*c(a)? -6*a**3 Let m(x) = x**3 - 6*x**2 + 4*x - 3. Let r(h) = -2*h**3 + 5*h**2 - 3*h + 2. Determine -2*m(n) - 3*r(n). 4*n**3 - 3*n**2 + n Let g(j) = 8*j**2 + 11. Let t(f) = 4*f**2 + 6. Give 3*g(r) - 5*t(r). 4*r**2 + 3 Let y(v
{ "pile_set_name": "DM Mathematics" }
0. Let n(w) = 2*w**2 - 2*w - 4. Let z(m) = 5*n(m) - 2*q(m). Determine z(p(r)). -11552*r**2 - 608*r - 8 Let b(r) be the third derivative of 5*r**4/24 + r**2. Let t(n) = 6*n**2 + 3378 - 2*n**2 - n**2 - 3378. What is b(t(a))? 15*a**2 Let u(f) = 8*f**2 + 28*f**2 + 27*f**2 - 59*f**2. Let k(g) = 51*g**2. Give k(u(z)). 816*z**4 Let f(p) = 518*p - p**2 - 262*p - 256*p. Let u(g) = 242*g**2. Determine f(u(m)). -58564*m**4 Let p(u) = 3*u - 2. Let q(r) = 4*r - 2. Let x(w) = 7*p(w) - 6*q(w). Let m(o) = 4*o + 3. Let b(f) = 4*m(f) + 6*x(f). Let t(l) = 11*l. Calculate t(b(s)). -22*s Let q(s) = -4*s. Let m(f) = -2867*f. Determine m(q(k)). 11468*k Suppose 3*m = 7*m - 8. Let g(a) = -2*a**m + 0*a**2 + a**2. Let l(y) = 2*y**2 - 2*y**2 + 2*y**2. Determine g(l(z)). -4*z**4 Let g(a) = -3*a. Let s(d) = -376*d + 1 + 212*d + 157*d. What is s(g(c))? 21*c + 1 Let z(o) = -195*o. Let v(t) = 5 - 5 - 42*t + 40*t. What is v(z(i))? 390*i Let p(g) = 158*g**2. Let s(z) = 30*z**2 + 32*z**2 + 29*z**2 + 31*z**2 - 121*z**2. What is s(p(v))? 24964*v**4 Let m(a) = 1 - 2*a + 1 - 2. Let x(b) be the first derivative of 3*b**2/2 + 16. Give m(x(c)). -6*c Let q(j) = 5*j. Let b(t) = 51 + 5*t - 25 - 26. Determine b(q(o)). 25*o Let y(j) = -78*j**2 + j - 2*j + j + 77*j**2. Let q(u) = -32*u**2. Determine q(y(h)). -32*h**4 Let v(k) = 106*k + 20. Let c(a) = 16*a - 4. Determine c(v(z)). 1696*z + 316 Let i(q) = q + 7. Let j(p) = 3. Let x(u) = 6*i(u) - 14*j(u). Let v(r) = -3*r**2 - 2. Calculate v(x(b)). -108*b**2 - 2 Let t(r) = r + 4*r**2 - 1 - 3*r**2 + 2. Suppose 0*v - d - 5 = 5*v, -d = -3*v - 3. Let n(y) = y + 1. Let z(l) = v*t(l) + n(l). Let c(u) = -20*u. What is z(c(x))? -400*x**2 Let z(o) = 209*o**2 + 31. Let y(a) = a - 6. Calculate y(z(l)). 209*l**2 + 25 Let g(f) = 4467*f + 10. Let h(c) = -3*c. What is g(h(r))? -13401*r + 10 Let y(q) be the third derivative of 5*q**4/24 - 213*q**2. Let o(r) = -6*r. Determine o(y(w)). -30*w Let s(g) = -2*g. Let p(t) = t**2 + t + 1. Let l = -4 + -76. Let u(o) = -100*o**2 - 80*o - 80. Let b(d) = l*p(d) - u(d). Give s(b(m)). -40*m**2 Let j(m) = -107*m**2. Let q(v) be the first derivative of -2*v**3/3 - 152. Give j(q(n)). -428*n**4 Let r(v) = -429*v - 1638. Let h(f) = 6. Let g(d) = -1092*h(d) - 4*r(d). Let i(c) = c. Give i(g(o)). 1716*o Let l(a) = a**2. Let t(c) = 5*c - 9. Let g be t(3). Let q(x) = g*x + 3*x - 3*x - 3*x. What is q(l(o))? 3*o**2 Let i(k) = -3188*k**2. Let r(w) = 3*w. Determine r(i(a)). -9564*a**2 Let u(v) = v + 13635. Let j(g) = 2*g + 15. Calculate u(j(w)). 2*w + 13650 Let b(z) = 8*z**2. Let d(y) = y - 5288. Give b(d(f)). 8*f**2 - 84608*f + 223703552 Let o(t) = 2*t. Let f(y) = 4053925*y**2. Give f(o(x)). 16215700*x**2 Let q(p) = -103*p + 4. Let r(g) = 50*g + 1. Let w(h) = q(h) + 2*r(h). Let t(i) be the second derivative of -i**3/3 + i. Determine t(w(v)). 6*v - 12 Let q(k) = -739*k**2 + 1774*k. Let c(d) = d. Determine q(c(a)). -739*a**2 + 1774*a Let a(b) = -33*b + 18. Let f(j) = -15*j + 8. Let c(s) = 4*a(s) - 9*f(s). Let k(h) be the third derivative of 11*h**5/60 - 9*h**2. Calculate c(k(n)). 33*n**2 Let x(m) be the second derivative of m**7/2520 + m**4/4 - 26*m. Let p(a) be the third derivative of x(a). Let y(q) = 23*q**2. Give p(y(u)). 529*u**4 Let l(g) = -9*g**2 + g. Let q(h) be the third derivative of h**8/20160 - 5*h**5/12 - 25*h**2. Let v(j) be the third derivative of q(j). Calculate v(l(a)). 81*a**4 - 18*a**3 + a**2 Let t(a) = 7*a + 3. Let n(h) = -8*h - 4. Let c(w) = -3*n(w) - 4*t(w). Suppose p - 20 = -3*p. Let m(x) = -p - 3*x**2 + 5. What is m(c(s))? -48*s**2 Let s(p) be the third derivative of 103*p**4/4 - p**2 + 279*p. Let a(u) = -u**2. Determine a(s(y)). -381924*y**2 Let w(u) = -153*u - 3. Let l(n) = 12*n**2. What is l(w(h))? 280908*h**2 + 11016*h + 108 Let g(i) = -i**2. Let n(p) = 91*p. Let w(o) = -274*o. Let t(h) = 8*n(h) + 3*w(h). Determine g(t(a)). -8836*a**2 Let b(k) = -81*k. Let n(u) = 122*u - 2. What is n(b(t))? -9882*t - 2 Let p(d) = -2*d**2. Let w(k) be the third derivative of -77*k**5/60 + k**3/2 - 179*k**2. What is p(w(y))? -11858*y**4 + 924*y**2 - 18 Let l(m) = 17*m**2 + 15*m**2 - 26*m**2. Let k(r) = 8*r**2 + 5*r - 10. Let o(v) = -3*v**2 - 2*v + 4. Let q(g) = 6*k(g) + 15*o(g). Determine l(q(i)). 54*i**4 Suppose -4*y - 4*h + 12 = 0, -4*h + 2 = 3*y - 5. Suppose -8 + 1 = -4*n + q, 0 = y*n - 2*q - 8. Let f(g) = -62 - n*g + 62. Let u(l) = -4*l. Give f(u(z)). 8*z Let b(w) be the second derivative of -w**3/3 - 5*w. Let a(m) = -6*m - 8. Let v(r) = -r - 4. Let d(i) = -a(i) + 2*v(i). Give b(d(l)). -8*l Let d(h) be the first derivative of 3*h**2/2 + 170. Let v(i) = 5*i + 4. Determine d(v(z)). 15*z + 12 Suppose 5*d + 14 = 54. Let m be (-8 + d)/(1*2). Let x(a) = a**2 + 3*a**2 - 6*a**2 + m*a**2. Let v(s) = 2*s**2. Give v(x(p)). 8*p**4 Let t(c) = 9*c**2. Let n be (8/(-4))/(0 - 1). Let r(p) = 236 - p**n - 236. Determine t(r(i)). 9*i**4 Let p(y) be the first derivative of 3*y**2/2 + 65. Let o(v) be the second derivative of -11*v**4/12 - 4*v. Determine p(o(u)). -33*u**2 Let g(c) = 606730*c + 1. Let i(o) = -o**2. What is g(i(n))? -606730*n**2 + 1 Let a(n) = -2*n. Let d(y) = 2*y**2 + 266234*y. Give a(d(x)). -4*x**2 - 532468*x Let x(c) = 3*c**2 + 0 + 0. Let w(d) = -340*d**2 + 60*d**2 + 262*d**2. Give x(w(n)). 972*n**4 Let l(g) = 23*g**2 + 12*g. Let m(k) = 272*k**2. Determine l(m(y)). 1701632*y**4 + 3264*y**2 Let o(q) be the first derivative of -2*q**3 + 215. Let d(z) = z - 3. Calculate d(o(i)). -6*i**2 - 3 Let g(j) = -j**2 + 2*j + 2. Let s(n) = n + 1. Let v(m) = -g(m) + 2*s(m). Let x(y) = -35*y**2 + 71*y**2 - 27*y**2. What is v(x(w))? 81*w**4 Let r(k) = -2*k**2. Suppose 3*g + 11 = 5. Let q be -57*g*(-1)/(-6). Let j(v) = 11*v + q - 19. Determine r(j(x)). -242*x**2 Let v(w) = 3*w. Let m(c) be the third derivative of -6*c**5/5 + c**4/12 - 4*c**2 - 7*c. Determine v(m(x)). -216*x**2 + 6*x Let g(y) = 722*y - 1. Let k(b) = 22*b. Calculate g(k(m)). 15884*m - 1 Let n(y) = -y + 1. Let v(m) be the first derivative of m**2 - 57. What is n(v(d))? -2*d + 1 Let s(d) = -1749*d**2. Let x(u) = -70*u - 8. What is x(s(n))? 122430*n**2 - 8 Let k(q) = -432*q - 160. Let t(a) = 16*a + 6. Let b(f) = 6*k(f) + 160*t(f). Let h(i) = 4*i. Determine b(h(n)). -128*n Let a(o) = 28*o**2 - 35*o**2 - 1 + 4*o**2 + 25*o**2. Let i(w) = -2*w. Determine a(i(q)). 88*q**2 - 1 Let w(f) = -f**2 + f + 1. Let s(t) = -43*t**2 - 6*t - 6. Let x(v) = -s(v) - 6*w(v). Let q(z) = -z**2 + 3372*z - 6742*z + 3370*z - z**2. Determine x(q(u)). 196*u**4 Let n(p) be the second derivative of -7*p**4/12 + 91*p. Let c(v) = -22*v**2. What is c(n(l))? -1078*l**4 Let q(d) = 405*d**2. Let w(y) = -y**2. Give q(w(c)). 405*c**4 Let x(i) = -748*i**2. Let r(u) = -50*u**2. Determine x(r(w)). -1870000*w**4 Let o(s) = -s**2. Let u(i) = -9*i**2 + 13*i**2 + 6*i**2 + 12*i**2. Give u(o(b)). 22*b**4 Let n(q) = -2*q**2. Let g(f) = -2026540*f. What is n(g(a))? -8213728743200*a**2 Let w(x) = -21576*x - 2. Let n(o) = 2*o. Give n(w(b)). -43152*b - 4 Let j(q) = -q. Let c(s) = 37338*s - 1. Calculate c(j(d)). -37338*d - 1 Let f(g) = -3*g. Let i be (-6 - (-5 + 1))/(-1). Let r(o) = 0*o**2 - 11 + 11 + o**i. Calculate r(f(n)). 9*n**2 Let c(p) = 12721*p**2. Let g(k) = -6*k. Give c(g(x)). 457956*x**2 Let t(j) = -761*j**2. Let f(x) = x - 9. Calculate t(f(w)). -761*w**2 + 13698*w - 61641 Let p(q) be the first derivative of 34*q**3/3 + 1. Let j(o) = -451*o**2 + 905*o**2 - 455*o**2. Give j(p(y)). -1156*y**4 Let w(v) be the first derivative of v**2 - 1. Let f(j) be the third derivative of -5*j**4/12 + j**3/6 + 7*j**2 + 19*j. Calculate f(w(s)). -20*s + 1 Let i(d) = -11*d**2 - 19*d**2 - 31*d**2 + 35*d**2. Let m(f) = 8*f**2. What is i(m(y))? -1664*y**4 Let t(q) be the second derivative of -q**6/180 + 7*q**3/6 - 5*q. Let b(r) be the second derivative of t(r). Let m(p) = 2*p**2. Calculate m(b(i)). 8*i**4 Let u(w) = 2704*w**2. Let f(m) = 1354*m**2. Calculate u(f(d)). 4957286464*d**4 Let q(m) = -m. Let x(u) = 314*u**2 - 5*u + 5. Let h(i) = 9576*i**2 - 152*i + 152. Let s(g) = 5*h(g) - 152*x(g). Give s(q(w)). 152*w**2 Let s(a) = 3*a**2 - 29*a + 5. Let w(h) be the second derivative of h**2/2 - 13*h. Let y(x) = s(x) - 5*w(x). Let n(r) = -r**2. What is y(n(i))? 3*i**4 + 29*i**2 Let z(h) be the third derivative of -h**5/24 - 10*h**3/3 + 10*h**2. Let g(u) be
{ "pile_set_name": "DM Mathematics" }
j = -1.8 + o. Let y = -0.3 - j. Which is the nearest to -0.2? (a) y (b) 2 (c) 4 a Let k = 5 - 10. Let f = -4 - k. Which is the nearest to 0.1? (a) 1/5 (b) -0.2 (c) f a Let y = -2.2 + 1.7. Which is the closest to 1? (a) y (b) 2 (c) 1 c Let m = -1 - -0.8. Suppose -2*h = -17 - 13. Suppose h = g - 6*g. What is the closest to 0.1 in 2, m, g? m Let q = -4 + 9. What is the closest to 1 in 0.3, q, 4? 0.3 Let z = 3 - 3.3. Let r = -0.2 - -0.4. Let u = r + z. What is the closest to u in -2/3, 0.5, -1? -2/3 Suppose -5*v + 14 = 2*g, -5*v + 22 + 10 = -4*g. Suppose -2*z - 10 = 0, -7 = -2*w - 0*z + z. Which is the closest to w? (a) 1 (b) v (c) -2/13 a Let k = -129 + 905/7. Let o = 5.13 + -0.13. Let l = 27 - 353/13. Which is the closest to 0? (a) l (b) k (c) o a Let g = 74 + -75. Which is the closest to g? (a) -6 (b) -4 (c) 0.2 c Let g = -6 + 4. Let k = -1.2 + 1. Let j = 1.8 - k. Which is the closest to -1? (a) g (b) 0.1 (c) j a Let q = 44.2 - 39. Let k = -5 + q. Let g = 1 + -3/4. What is the nearest to -0.2 in k, g, -5? k Let l = 40 - 35. Which is the nearest to -0.5? (a) 2/17 (b) l (c) -0.2 c Let z be (-10)/4*(-3)/(-45). What is the nearest to -18 in -3/5, z, 2/5? -3/5 Suppose -2*m + 0*m = -10. Suppose 5 + 5 = -m*u + f, 5*u = 5*f + 10. Let h be (-5)/20*(-2 + 3). Which is the closest to 1/4? (a) h (b) -2 (c) u a Let q = -1 - -4. Let z = -2 + q. Let l = -158 + 1418/9. Which is the closest to z? (a) -0.5 (b) -1/5 (c) l b Let l = 69 - 65. Which is the nearest to -1/7? (a) 1/3 (b) -1 (c) l a Suppose 56*g = 59*g. Let c = -828/5 + 165. Let t = 1/5 + c. What is the closest to t in 5, g, 0.5? g Let z = -0.06 - 0.04. Which is the nearest to z? (a) 5 (b) 2 (c) -3/8 c Let n = 2.7 - 3. What is the nearest to 4/9 in -2/7, 0, n? 0 Let d be ((-23)/(-6) + -4)*4. What is the nearest to d in 0.1, -3, 2? 0.1 Let c be -1 + 458/(-4) + 3. Let h = -115 - c. What is the closest to 2 in h, 2/7, 0.1? 2/7 Let b = 2.1 - -0.9. What is the closest to b in -1, -4/7, 3? 3 Let t = -0.68 + 0.9. Let w = -4.22 + t. Suppose o = 2 - 3. Which is the closest to -2/7? (a) 1 (b) w (c) o c Let n = -9 - -5. Let w = -4.01 - -0.01. Let x = w - n. Which is the closest to 1? (a) -4 (b) -3 (c) x c Let v be ((-6)/4)/(4/2). Let j be 1 + 0 - 9/9. Which is the nearest to j? (a) 5 (b) v (c) 3 b Let s be -7 + 372/52 + (-48)/(-26). Let r be ((-1)/(-8))/(2/4). Let l = 0.2 + -0.1. Which is the nearest to l? (a) -0.1 (b) r (c) s b Let g be (-6)/(-21) - (-16)/(-28). What is the nearest to g in -2, -0.5, -5? -0.5 Let l = -0.5 - 0.1. Let u = 8.3 - 6.7. Let s = l + u. Which is the nearest to s? (a) -5 (b) 0.1 (c) 0.5 c Let l = 1.53 - 1.21. Which is the closest to -0.1? (a) 2 (b) l (c) 5 b Let n(t) = -t**2 - 4*t + 15. Let z be n(-7). What is the closest to 2/15 in z, -0.5, 5? -0.5 Let r = -0.1 - 0.1. Let v be (-1 - -1)/(4 - 1). What is the nearest to 1 in 0.1, v, r? 0.1 Let r be 3/(-7) - 92*12/(-3360). Let g = 0.1 - -4.9. Let y be (-1)/1 + 2 - 1. What is the nearest to 2 in y, g, r? y Let s = -14 + 14. Let t = -4 + 6. Let k = -2.1 + t. What is the nearest to 0.1 in 1/10, s, k? 1/10 Let w = 60 - 37. Let z = -49/2 + w. Which is the nearest to -1? (a) 0 (b) -1 (c) z b Let k(q) = q**2 + 3*q - 3. Let h be k(-3). Let p = 6/29 - -11/87. Which is the nearest to p? (a) -2 (b) -1/6 (c) h b Let a = 0.08 + 1.42. Let s = a - 1.3. What is the nearest to s in -4, -2, 0.4? 0.4 Let s = 9 + -8.8. Let p be (-3)/9*-3 + 3. Let z = p - 2. Which is the closest to 1? (a) s (b) z (c) 5 a Let p be (-21)/45 - (-2)/3. Let y(h) = 2*h + 9 - 9 + 1 - 3*h. Let t be y(-4). Which is the closest to 1? (a) 3 (b) t (c) p c Let g be 52/10*3/3. Let k = g - 239/45. Let s = -7/9 - k. What is the nearest to s in 1, 0.1, 0.2? 0.1 Let t = 0.1 + 0.1. Let n be 2/2 + -3 + 0. Let r = -1/123 - 241/615. What is the nearest to n in -5, r, t? r Let h = -0.63 + 0.13. What is the nearest to 0 in 0, -2/5, h? 0 Let r = -0.9 - -0.8. Let n = 0.5 - -2.5. Let d = -5 + n. What is the nearest to r in -0.1, d, -3? -0.1 Let w = 4 - 3. Let k = 1097/21 - 158/3. Which is the closest to 0? (a) -5 (b) w (c) k c Let a(l) = -l**3 - 4*l**2 + 3*l + 12. Let t be a(-6). Let h = -464/7 + t. What is the nearest to h in 0.2, -0.5, -4/3? -0.5 Let r(c) = c**2 + 5*c + 6. Let b be r(-4). What is the closest to 2/5 in b, 5, -2/7? -2/7 Let h = -1 + 1. Let y = -2 - 0. Let o = -2 - y. Which is the closest to h? (a) o (b) -3 (c) -5/4 a Let x be (-14)/(-91) + (-5428)/130. Let g = 41 + x. Which is the nearest to -1? (a) g (b) 0.1 (c) -3 a Let t = -0.18 - -0.32. Let j = t + 0.16. What is the closest to 1 in 2/7, 1/8, j? j Suppose 0 = -b - b - 2. Let v be (-1)/(-6)*496/14. Let j = v - 46/7. What is the closest to b in -0.3, j, -3? j Let s = 46.5 - 47. Which is the nearest to 0? (a) 0.13 (b) -1 (c) s a Let k = 0.2 - -1.8. Let w = -2/77 + 85/308. Let v be (1*-2)/(-6 - -1). Which is the closest to v? (a) w (b) -3 (c) k a Let d be 8/(-32) - 34/(-8). Let l = 12/119 - 2/357. Let f = -0.11 + 0.21. Which is the closest to f? (a) d (b) l (c) -2 b Let b = 0 - 0. Let j be ((-3)/(-4))/(153/2). Let y = j - 107/510. What is the nearest to y in -1, -2/15, b? -2/15 Let p = -2.24 - -0.34. Let z = 0.9 + p. What is the nearest to z in 0, -1, 3? -1 Let w = -0.3 - -0.36. Let t = w - -4.94. Let h = 6 - t. What is the closest to -0.1 in h, -3, -1/5? -1/5 Let i = 5.87 + -0.87. Let d be ((-2)/(-2))/(-4*1). Which is the nearest to 0.1? (a) 0 (b) i (c) d a Let u = -0.1 - -0.4. Let x be (-8)/(-4) + -2 + -4. Let t be x/(-10)*10/(-3). What is the closest to 1 in -2, t, u? u Let z = 112 + -1234/11. Let y = 6 - 8. Let w be (-5 - -2)*y/(-10). What is the closest to -2/5 in z, 0.2, w? w Let d = -2.5 - -0.5. Let y = 0.6 + -1.6. Let t = y + -2. Which is the nearest to 0.1? (a) t (b) 1/4 (c) d b Let q = 4.4 - 4.3. What is the closest to -3 in -3/4, -3, q? -3 Let z = 41 - 45.7. Let i = z - -4.93. Let o = 0.03 - i. Which is the closest to 0.1? (a) 1/7 (b) o (c) -2/11 a Let j = 2.1 + -1.1. Which is the nearest to 1? (a) -1/12 (b) j (c) -0.2 b Suppose -5*h - 25 = 20. Let i be (-3)/h - -1 - 1. Which is the nearest to 1? (a) 0 (b) i (c) 3/4 c Let a = -16 + 15.6. What is the nearest to a in -0.4, -0.3, -3/5? -0.4 Let j(m) = m**2 - 5*m + 6. Let o be j(3). Suppose 14 = -2*v - 2*z, 0 = 4*v + 5*z + 26 + 5. What is the closest to o in v, 3, 0.5? 0.5 Suppose 9 = 3*i, 2*j - 4*j = 3*i - 7. Let d = 45/2 + -131/6. Let k = d + j. Which is the closest to -1? (a) -1 (b) k (c) -0.4 a Let k = 1/33 + -25/99. What is the closest to -3 in 4/9, k, 2? k Let g = 6 - 1. Let q be 0 - -3*4/4. Suppose 1 = -s + 4*y, q*s - 5*y + 4 = 1. What is the nearest to s in g, -2/5, 2/7? -2/5 Let a = -65 + 69. What is the nearest to -1 in -0.3, a, 2/87? -0.3 Let k = 2.77 - 0.47. Let z = k + -1.9. Which is the closest to 4? (a) -5 (b) -1 (c) z c Let w = -5.66 + 0.66. Let q(m) = m**3 + 6*m**2 + m + 7. Suppose -l - l - 12 = 0. Let o be q(l). Which is the closest to -1/3? (a) w (b) -3 (c) o c Let y be (3/(-8))/(9/6). What is the nearest to 0.07 in y, 2, -0.2? -0.2 Let z be ((-6)/40)/(26/65). Which is the closest to 0.1? (a) 3 (b) z (c) -4 b Let n(u) = -u + 7. Let m be n(9). Let l be (1/m)/(0 - -2). Which is the nearest to 1? (a) -5 (b) 0 (c) l b Let h = -0.08 - -0.38. Let g = 407/4 + -101. What is the closest to 0 in g, -2/9, h? -2/9 Let a = 53 - 53. What is the closest to 0.19 in 0.4, a, -0.1? a Let w = 18/43 + -76/387. Which is the nearest to w? (a) 0.3 (b) 0 (c) 3 a Let m = 0.2 + -0.1. What is the nearest to 1/4 in 1, -1/3, m? m Let q = 0.4 + -0.2. Let m = -1.82 - 0.18. Which is the nearest to 0.1? (a) m (b) q (c) 1 b Let w = -0.203 - -0.003. What is the nearest to 0 in -8, -4, w? w Let g be (-2 - 0) + 9/6. Let c = g - -1. What is the nearest to c in -1/4, 1, -0.4? 1 Let u = 0.0561 + -0.0361. Let g = -0.9 - -1. What is the closest to 0 in u, g, -2? u Let z = -12.3 - -12. Let b = 0.1 + -0.1. Let l = b - -0.2. What is the nearest to l in 1/3, z, 2? 1/3 Let t = 16.7 - 16. Let v = -0.2 + t. Suppose n + 10 - 1 = -u, -3*u + 3*n = -3. Which is the closest to -1? (a) u (b) v (c) 4 b Let k = 11 - 10. Which is the nearest to k? (a) -4 (b) -2 (c) 4/5 c Let i be (-1)/((66/(-4
{ "pile_set_name": "DM Mathematics" }
0, 303, 192? -2*m**2 - 85*m + 885 What is the d'th term of -86586, -173170, -259754, -346338, -432922, -519506? -86584*d - 2 What is the j'th term of -15743, -15731, -15719, -15707? 12*j - 15755 What is the z'th term of -37284, -74617, -111954, -149295, -186640? -2*z**2 - 37327*z + 45 What is the u'th term of 3087, 6213, 9339, 12465? 3126*u - 39 What is the z'th term of 495, 2066, 4809, 8826, 14219, 21090, 29541, 39674? 17*z**3 + 484*z**2 - 6 What is the v'th term of -1701, -6856, -15469, -27540, -43069? -1729*v**2 + 32*v - 4 What is the b'th term of 5339, 10678, 16017, 21356? 5339*b What is the x'th term of 1450, 5788, 13020, 23146, 36166, 52080, 70888? 1447*x**2 - 3*x + 6 What is the p'th term of -76854, -153703, -230550, -307395, -384238? p**2 - 76852*p - 3 What is the s'th term of 294, 389, 480, 567, 650, 729, 804? -2*s**2 + 101*s + 195 What is the m'th term of 25, 99, 275, 601, 1125, 1895, 2959, 4365? 8*m**3 + 3*m**2 + 9*m + 5 What is the s'th term of 11209, 22459, 33747, 45073, 56437? 19*s**2 + 11193*s - 3 What is the j'th term of -472, -931, -1372, -1795, -2200, -2587? 9*j**2 - 486*j + 5 What is the s'th term of 3607, 7456, 11547, 15880, 20455, 25272, 30331? 121*s**2 + 3486*s What is the o'th term of 763535, 763534, 763533, 763532? -o + 763536 What is the u'th term of 941953, 1883908, 2825863, 3767818, 4709773? 941955*u - 2 What is the k'th term of 11516, 11541, 11570, 11603, 11640? 2*k**2 + 19*k + 11495 What is the q'th term of 16892, 33789, 50686? 16897*q - 5 What is the b'th term of 61, -11, -127, -287, -491, -739, -1031? -22*b**2 - 6*b + 89 What is the w'th term of 755, 760, 765, 770? 5*w + 750 What is the g'th term of 1109, 1116, 1131, 1154, 1185? 4*g**2 - 5*g + 1110 What is the g'th term of -10773, -21546, -32319, -43086, -53841? g**3 - 6*g**2 - 10762*g - 6 What is the w'th term of 308, 531, 750, 965, 1176, 1383, 1586? -2*w**2 + 229*w + 81 What is the w'th term of -969, -7620, -25705, -60942, -119049? -953*w**3 + w**2 + 17*w - 34 What is the i'th term of -62306, -124635, -186964, -249293, -311622? -62329*i + 23 What is the v'th term of 278, 675, 1070, 1463, 1854, 2243? -v**2 + 400*v - 121 What is the z'th term of 5165, 5282, 5591, 6188, 7169, 8630, 10667? 16*z**3 + 5*z + 5144 What is the l'th term of 92, 200, 320, 452, 596? 6*l**2 + 90*l - 4 What is the a'th term of 126608, 253223, 379842, 506465, 633092, 759723, 886358? 2*a**2 + 126609*a - 3 What is the t'th term of -47758, -47759, -47760? -t - 47757 What is the g'th term of 803, 355, -393, -1441? -150*g**2 + 2*g + 951 What is the s'th term of -19921, -39649, -59377, -79105? -19728*s - 193 What is the y'th term of -57, -165, -359, -651, -1053, -1577, -2235, -3039? -2*y**3 - 31*y**2 - y - 23 What is the j'th term of 1534, 3153, 4772, 6391, 8010? 1619*j - 85 What is the d'th term of -392, -831, -1310, -1829, -2388, -2987, -3626? -20*d**2 - 379*d + 7 What is the s'th term of 8703, 17413, 26123, 34833? 8710*s - 7 What is the f'th term of -255833, -255839, -255855, -255887, -255941, -256023, -256139, -256295? -f**3 + f**2 - 2*f - 255831 What is the q'th term of 20, -18, -112, -286, -564? -4*q**3 - 4*q**2 + 2*q + 26 What is the q'th term of 53154, 106327, 159500, 212673, 265846, 319019? 53173*q - 19 What is the a'th term of -37892, -75757, -113622, -151487? -37865*a - 27 What is the o'th term of 14769, 58842, 132297, 235134, 367353? 14691*o**2 + 78 What is the i'th term of 770, 941, 1104, 1253, 1382, 1485? -i**3 + 2*i**2 + 172*i + 597 What is the f'th term of 127, 335, 599, 913, 1271? -f**3 + 34*f**2 + 113*f - 19 What is the c'th term of -26850, -53696, -80544, -107394? -c**2 - 26843*c - 6 What is the o'th term of 6489, 6506, 6543, 6606, 6701, 6834? o**3 + 4*o**2 - 2*o + 6486 What is the y'th term of 204, 209, 210, 207, 200? -2*y**2 + 11*y + 195 What is the z'th term of 1846, 2641, 3436, 4231, 5026, 5821? 795*z + 1051 What is the a'th term of 29398, 58827, 88254, 117679, 147102? -a**2 + 29432*a - 33 What is the v'th term of -14615, -14610, -14605, -14600, -14595, -14590? 5*v - 14620 What is the r'th term of 8623, 17207, 25789, 34369? -r**2 + 8587*r + 37 What is the k'th term of -1879, -4086, -6965, -10852, -16083? -56*k**3 - 1815*k - 8 What is the b'th term of -12914, -12880, -12846? 34*b - 12948 What is the y'th term of -1895, -3822, -5747, -7670, -9591, -11510, -13427? y**2 - 1930*y + 34 What is the j'th term of -789, -728, -627, -486, -305, -84? 20*j**2 + j - 810 What is the b'th term of 1674, 2122, 2592, 3096, 3646, 4254, 4932? 2*b**3 - b**2 + 437*b + 1236 What is the i'th term of -2797, -5598, -8425, -11290, -14205? -2*i**3 - i**2 - 2784*i - 10 What is the i'th term of -1300, -2586, -3912, -5296, -6756, -8310? -3*i**3 - 2*i**2 - 1259*i - 36 What is the z'th term of 607, 236, -373, -1214, -2281, -3568? z**3 - 125*z**2 - 3*z + 734 What is the u'th term of -784, -3087, -6924, -12295, -19200, -27639? -767*u**2 - 2*u - 15 What is the n'th term of -166680, -333361, -500042, -666723, -833404? -166681*n + 1 What is the v'th term of -482, -460, -432, -398, -358, -312, -260? 3*v**2 + 13*v - 498 What is the u'th term of -7375, -29524, -66433, -118096, -184507, -265660? u**3 - 7386*u**2 + 2*u + 8 What is the g'th term of -1630, -3090, -4550? -1460*g - 170 What is the x'th term of 1016, 1020, 1018, 1010, 996, 976, 950? -3*x**2 + 13*x + 1006 What is the i'th term of -42049, -168262, -378617, -673114, -1051753? -42071*i**2 + 22 What is the u'th term of -1077900, -2155801, -3233702? -1077901*u + 1 What is the f'th term of 2041, 3843, 5643, 7441, 9237? -f**2 + 1805*f + 237 What is the c'th term of -1732, -3208, -4698, -6208, -7744, -9312, -10918? -c**3 - c**2 - 1466*c - 264 What is the t'th term of 15875, 63522, 142933, 254108, 397047, 571750? 15882*t**2 + t - 8 What is the q'th term of 11135, 22271, 33407? 11136*q - 1 What is the s'th term of -2477, -2382, -2121, -1610, -765? 14*s**3 - s**2 - 2490 What is the b'th term of -116, -237, -368, -509? -5*b**2 - 106*b - 5 What is the g'th term of -119548, -119545, -119538, -119527? 2*g**2 - 3*g - 119547 What is the p'th term of -4293, -4214, -4139, -4062, -3977? p**3 - 8*p**2 + 96*p - 4382 What is the o'th term of 989, 1799, 2607, 3413, 4217, 5019? -o**2 + 813*o + 177 What is the z'th term of -2, -152, -578, -1424, -2834, -4952? -24*z**3 + 6*z**2 + 16 What is the k'th term of 1685, 1658, 1617, 1556, 1469, 1350? -k**3 - k**2 - 17*k + 1704 What is the u'th term of 129, -1326, -2783, -4242? -u**2 - 1452*u + 1582 What is the s'th term of -241724, -483446, -725168, -966890? -241722*s - 2 What is the q'th term of -1020, -3391, -7116, -12195? -677*q**2 - 340*q - 3 What is the x'th term of 64, 340, 804, 1462, 2320? x**3 + 88*x**2 + 5*x - 30 What is the b'th term of 1743, 1681, 1571, 1407, 1183? -b**3 - 18*b**2 - b + 1763 What is the w'th term of -5276, -5278, -5280? -2*w - 5274 What is the l'th term of -44271, -44293, -44315, -44337? -22*l - 44249 What is the v'th term of -182, -402, -696, -1100, -1650, -2382? -6*v**3 - v**2 - 175*v What is the p'th term of 800, 878, 954, 1028, 1100? -p**2 + 81*p + 720 What is the f'th term of -27, -7, 77, 261, 581? 6*f**3 - 4*f**2 - 10*f - 19 What is the p'th term of -130, -333, -552, -787, -1038, -1305? -8*p**2 - 179*p + 57 What is the v'th term of 7973, 7970, 7967? -3*v + 7976 What is the j'th term of -992, -1814, -2660, -3542, -4472, -5462, -6524, -7670? -2*j**3 - 808*j - 182 What is the u'th term of -420068, -840126, -1260184, -1680242? -420058*u - 10 What is the z'th term of 1747, 3506, 5275, 7054, 8843, 10642, 12451? 5*z**2 + 1744*z - 2 What is the x'th term of 172382, 689503, 1551364, 2757959, 4309282? -x**3 + 172376*x**2 + 7 What is the m'th term of 24402, 24450, 24580, 24834, 25254, 25882, 26760? 7*m**3 - m**2 + 2*m + 24394 What is the g'th term of 7182, 28743, 64680, 114993? 7188*g**2 - 3*g - 3 What is the x'th term of 132, 535, 1284, 2451, 4108, 6327, 9180, 12739? 12*x**3 + 101*x**2 + 16*x + 3 What is the y'th term of -736, -750, -764, -778, -792? -14*y - 722 What is the l'th term of 165, 333, 495, 651? -3*l**2 + 177*l - 9 What is the w'th term of -6908, -27609, -62110, -110411, -172512, -248413, -338114? -6900*w**2 - w - 7 What is the m'th term of 385, 74, -765, -2396, -5083, -9090, -14681? -44*m**3 - 3*m + 43
{ "pile_set_name": "DM Mathematics" }
s the lowest common multiple of ((-45)/6 - -3)*j and 2? 18 Let t(l) be the second derivative of l**5/20 - 2*l**4/3 - 4*l**3/3 + 6*l**2 - 17*l. Calculate the least common multiple of 18 and t(9). 126 Calculate the common denominator of (0 + (-15)/6)*(-5537)/(-1225) and 43/830. 830 Let a be (-8)/44 - ((-1566)/22)/1. Suppose 5*n - 266 = -a. What is the least common multiple of 30 and n? 390 Suppose -4*t = -5*x - 36, 0 = -3*t + t - 5*x + 48. Calculate the lowest common multiple of (180/(-35))/(-6)*t and 6. 12 Let s = -2938039/5269605 + -1/31937. Calculate the common denominator of -149/6 and s. 330 Let h(y) = -2*y - 17. Suppose 0*b = -3*b + 6. Suppose -2 = -n + b*n, m + 3 = -2*n. Calculate the smallest common multiple of m and h(-12). 7 Let r(g) = 3*g**2 - 6*g + 6. Suppose -4*z + 5*h = 17, h = -z + 4*z - 1. What is the lowest common multiple of r(z) and 8? 24 Let i(v) = 106*v**2 - 2*v + 14. Calculate the lowest common multiple of i(-4) and 2. 1718 Let x be (-3 + 2)*3 + 3. What is the smallest common multiple of 2/3*3 - x and 10? 10 Let f(y) = -4*y - 14. Let h be 2/(-2) + (12 - 19). What is the least common multiple of f(h) and 16? 144 Let r = -69799/77071 + 1/4166. What is the common denominator of r and -3 + 4/(72/(-37))? 666 Suppose 2*h - 7 = 3*p + 175, -10 = 2*h. Let s = -123107/14 + 8787. Calculate the common denominator of (108/(-30))/(p/70) and s. 112 Suppose b + 9 - 22 = 4*x, 3*x + 8 = -b. What is the least common multiple of 16/(-12)*-15*b and 10? 20 What is the least common multiple of 10 and 1/2*(5 - (-2 - 1))? 20 Let i = 344/443 + -100039/180744. Calculate the common denominator of -7/153 and i. 1224 Suppose 2821 = -4*m + 2965. Calculate the least common multiple of 144 and m. 144 Let i = 296/5 + -3668/65. What is the common denominator of (-243)/36 + -6 - -5 and i? 52 Let u = 1717 + -1547. Let d = -5 + 7. Calculate the smallest common multiple of u and d. 170 Let t be (-140)/7 + -2 + 0. What is the common denominator of (106/t)/(-13 + 12) and 47/5? 55 Let s(h) = -h**3 - h**2 + h + 19. Let r be s(0). Let j = 73 - r. Calculate the least common multiple of j and 6. 54 Suppose 19 = 2*t + 4*y - 17, 0 = 5*t - y - 35. Let x = -25 + 33. Suppose -x + 2 = -3*p. What is the smallest common multiple of p and t? 8 Let b be -3 - -3 - (89458/(-13320) + 3). Let a = b - 22/333. Calculate the common denominator of a and 69/20. 20 Let g be (-220)/(-2)*10/20. Suppose 5*h = 50 + g. Calculate the common denominator of h/(-28)*(-194)/6 and 25/2. 4 Calculate the least common multiple of 18 and (10556/(-65))/14*(-29 - 1). 1044 Calculate the smallest common multiple of 468 and ((-3 - -1)/(-4))/(24/864). 468 Let t = 10 - 2. Suppose -3*p - l - 3*l = -2, 4*p + 4*l = t. Let b(r) = 4*r - 4. Calculate the least common multiple of b(5) and p. 48 Calculate the smallest common multiple of 20 and 6/((-54)/(-3)) + 29/3. 20 Let o be (-167 + 1)*(-1)/1. Let v = 1113 + -11183/10. What is the common denominator of 1/(40/o) - -1 and v? 20 Suppose -h + q = 7, -27 + 7 = 3*h - 4*q. What is the least common multiple of 1/((-36)/h + -4) and 10? 10 Suppose -3*y + 4*r + 820 = 0, -4*y = -8*y + 2*r + 1080. Calculate the lowest common multiple of y and 14. 1876 Suppose 3*t = 4*t. Suppose t = 2*x - 3*l + 421, 2*x + 251 = -l - 158. What is the common denominator of 1 + -2 - x/(-20) and 3/28? 140 Let f = -7728 - -309047/40. Find the common denominator of -77/116 and f. 1160 Let f be 40*(3 + 0 + (-7 - -3)). What is the common denominator of 1/(-3)*474/f and -109/10? 20 Suppose -5*n + 4*d + 156 = 0, 20*n - 16*n - 2*d - 126 = 0. What is the least common multiple of 32 and n? 32 Let b = -62 + 68. Suppose 3*g = 2*z + b, 0*g - 4*z + 24 = 3*g. What is the smallest common multiple of 20 and g? 20 Let w = 36537/96628 - 78/833. Find the common denominator of w and -111/580. 580 Let n(w) = 38*w + 132. Calculate the least common multiple of 120 and n(0). 1320 Find the common denominator of ((-26)/(-10))/((160/(-25))/1) and 101/44. 352 Let k = -1029967/1457925 + -4/19439. What is the common denominator of k and 50/9? 225 Suppose -4*z + 2*l = 28, -5 = -4*l + 3. Calculate the smallest common multiple of 270/(-63)*28/z and 6. 60 Let t(g) = g**3 + 7*g**2 + 4*g - 5. Let r be t(-6). What is the common denominator of 14/(0 + (-4)/r) and 5 + 33/(-16) + -1? 16 Let m(f) = 6*f**2 + 2*f - 2. Calculate the lowest common multiple of (80/(-36))/(-4*13/234) and m(-2). 90 Let k = -133/5 - -23. Suppose 3*z - 4*a - 51 = 0, 4*a - 67 + 27 = -4*z. What is the common denominator of z and k? 5 Calculate the common denominator of 4/14 + -3 + 734/(-168) and 33/14. 84 Let r(b) = 7*b. Find the common denominator of r(-2) and (30/100)/((-24)/(-530)). 8 Let u be (2 - 0)/(10/(-25)). Calculate the lowest common multiple of u/(10/(-22)) + 1 and (1/(-2))/((-1)/18). 36 Let o = 487/6 + -82. What is the common denominator of o and 9/220? 660 Suppose o + 18 = -2*d + 4*o, d - 5*o - 5 = 0. Calculate the common denominator of -19/30 and 60/d - (-248)/42. 210 Calculate the common denominator of 3/16 and (4 + 27/(-7))/((-12)/(-686)). 48 Suppose -3*q + 3*w + 40 = -w, -2*q + 5*w = -36. Find the common denominator of 57/(-108) + (-2)/q and 1/(-14)*269 + (-4)/14. 18 Calculate the lowest common multiple of (-22)/(-1 - -2)*-1 and (9/2)/(-4 + 105/24). 132 Suppose 2*k = -2*g + 2662, -271 = -3*k - 4*g + 3721. Let n = k - -203. Let u = -18355/12 + n. Calculate the common denominator of u and 1/20. 60 What is the least common multiple of (9 - 107)*(-8 - -7) and 42? 294 Let u = -28 + 25. What is the smallest common multiple of 3 and (-4)/(-6)*u/1 + 5? 3 Let d(n) = 3*n**2 + 1. Let b be -2*1/2*(0 + -20). Calculate the lowest common multiple of (2 - -2)/(8/b) and d(-1). 20 What is the common denominator of (-690)/800 - ((-11)/(-4) + -3) and 83/48? 240 Suppose -3*x = -4*x - 4*l + 3, 6 = 2*x + l. Suppose 5*v = x*v + 16. What is the lowest common multiple of 2*(8 + -1 - 1) and v? 24 Let k(p) = -p**2 - 3*p - 1. Suppose 0 = 5*x + 1 - 6. Suppose -1 = -l + 3*z, -4*l + 4*z + x = -3. Calculate the lowest common multiple of l and k(-1). 1 Let r(l) = 0*l**2 + 8 - l + 3*l**2 + l**3 - 2*l**2 - 6. Calculate the least common multiple of 30 and r(0). 30 Let b = -7860 - -896029/114. What is the common denominator of -127/6 and b? 114 What is the common denominator of 1075/450*(-6)/(-4) and -38/9? 36 Suppose -9 = -38*y + 41*y. What is the common denominator of (-6)/(-15) - 229/10 and (3/3)/(2*y/(-11))? 6 Let w = 3546 - 460983/130. Calculate the common denominator of w and 43/26. 130 Calculate the smallest common multiple of (-1 - 2)/((-15)/105) and 99. 693 Let k = 897 + -781. What is the least common multiple of k and 24? 696 Suppose 3*p + 3*q = 27, 4*p - 3*q = 18 - 3. Let l(w) = 23*w - 44. What is the lowest common multiple of l(2) and p? 6 Let m be (-3)/(-16 - -4) + (-323)/(-4). Let j = -563/10 + 329/5. Find the common denominator of j and 1/(-14)*(m + -2). 14 Suppose -105*d = -100*d + 70. Calculate the least common multiple of 6 and (-4)/d - 480/(-35). 42 Let v = -2/1231 - 17224/6155. Find the common denominator of -1 + 1/(-2) + 0 and v. 10 Let a be 34/17 - (-48)/82. Let g = -1297/656 - a. Calculate the common denominator of g and 55/2. 16 Let n = -2/3671 - 47695/51394. Calculate the common denominator of n and -49/36. 252 Let x be ((-1)/(-51))/(32/4848). Let c = x - -3/17. What is the common denominator of -53/4 and c? 68 Suppose 2*h = -3*z + 7, -8 - 2 = -2*h. Let o be (-1 + 2)*-8 + z. Find the common denominator of 3/2*(-20)/o and 4/9. 9 Let i be (-310)/(-5)*(1/2 - 0). Suppose 4*w + 31 = -29. Let d = w + i. Calculate the lowest common multiple of d and 18. 144 Let d = 21085093/6 + -3505022. Let o = d - 9135. What is the common denominator of o and ((-17)/5)/((-12)/(-15))? 12 Let y be (-69)/(-2)*4/6. Suppose -y = 3*p - 35. Suppose p*w = 34 - 10. What is the smallest common multiple of w and 11? 66 Let z = 224 + -208. Suppose 0 = -0*s + 4*s - 80. What is the lowest common multiple of (-50)/(-2)*8/s and z? 80 Let x = -36 + 182. Let c(w) = -w**2 - 10*w + 4. What is the lowest common multiple of x and c(-8)? 1460 Suppose 5*d - 230 = 70. Suppose 0 = -3*g - 2*b + 44, -3*g - d = -7*g - 3*b. What is the smallest common multiple of g and 12? 12 Suppose 583 + 341 = 7*p. What is
{ "pile_set_name": "DM Mathematics" }
Differentiate 3*f**4 - 3027985*f + 19293561. 12*f**3 - 3027985 Find the third derivative of 3420*z**4 + 760*z**3 + z**2 - 5297748*z + 2. 82080*z + 4560 Find the third derivative of -50116*f**5*u - 11*f**3*u**2 - 369*f**2*u**2 + 1124*f**2 + f*u**2 + u**2 wrt f. -3006960*f**2*u - 66*u**2 What is the second derivative of -10310402*j**5 - 2271*j + 254 wrt j? -206208040*j**3 Find the third derivative of 200943092*f**3 + 193795220*f**2. 1205658552 Find the third derivative of -5541596*g**5 - 3*g**4 - 74620*g**2 - 47. -332495760*g**2 - 72*g Find the third derivative of 6*v**5 - 40636*v**3 - 8995539*v**2. 360*v**2 - 243816 Find the third derivative of 98415*s**4 + 41*s**3 - 124056*s**2 - 249 wrt s. 2361960*s + 246 Find the second derivative of -358015889*n**2 - 12765*n + 18013 wrt n. -716031778 Differentiate -10*z**3 - 680627*z - 611834 wrt z. -30*z**2 - 680627 Differentiate 6638396*k - 95070560 wrt k. 6638396 Find the first derivative of 163647*f*h**2 + 14*f*h*i*x + 14*f*x - 16*h**2*i + h**2*x - 215*h**2 + h*i*x + h - i*x - 3*i wrt f. 163647*h**2 + 14*h*i*x + 14*x What is the derivative of -87183980*b**3 + 79512068? -261551940*b**2 Find the second derivative of -6*f*l**4 - 91*f*l + 71138*f + 131248*l**5 - l wrt l. -72*f*l**2 + 2624960*l**3 What is the second derivative of -116144971*d**4 + 9653490*d + 4 wrt d? -1393739652*d**2 What is the second derivative of -340221*h**2*p**2 + 107*h**2*p - 3*h**2 - h*p - 983*p**2 - 4892*p wrt p? -680442*h**2 - 1966 What is the third derivative of -77310161*a**4 - 46470*a**2 - 152*a? -1855443864*a Find the third derivative of h**2*q**3 - 3*h**2 - 126*h*q - 1315*q**5 + 71*q**3 + 2*q**2 - 7*q - 6 wrt q. 6*h**2 - 78900*q**2 + 426 What is the third derivative of 1951*t**5 - 1391*t**4 + 13206936*t**2 wrt t? 117060*t**2 - 33384*t Differentiate 146988322*b**2 + 168618843 with respect to b. 293976644*b Find the second derivative of -2*f*p**3 + 69*f*p**2 - 9*f*p + 21*f + 1846*p**2 - 2*p + 49493 wrt p. -12*f*p + 138*f + 3692 What is the third derivative of -r**4*s - 26584393*r**3 - 7*r**2*s - 17*r**2 + 3611*r*s - r - 4*s + 1 wrt r? -24*r*s - 159506358 Find the second derivative of -11*p*s**2 - p*s + 9086*s**2 - 31550831*s wrt s. -22*p + 18172 Differentiate -3*r**2*z - 33669157*r**2 - r*z + 4866392*z - 1 wrt z. -3*r**2 - r + 4866392 Find the second derivative of -39836*c**2*n*q - 8560*c**2 + 2*c*n*q + 2*c*q + 7*c + 2*n*q - 394617*n + 2*q wrt c. -79672*n*q - 17120 Differentiate 527472767*t**3 - 499513533. 1582418301*t**2 Find the second derivative of -56759*o**2*y**2 - 1109*o**2*y + 4*o**2 - 5*o*y - 652*y**4 + 137 wrt y. -113518*o**2 - 7824*y**2 What is the third derivative of -3545*u**5 + 22565*u**3 - u**2 + 4383*u - 1701 wrt u? -212700*u**2 + 135390 What is the first derivative of -1377116211*j**4 - 231901204? -5508464844*j**3 What is the first derivative of -7736*i**3*n - 3373640*i**3 + 87*i*n + 2*n wrt n? -7736*i**3 + 87*i + 2 What is the third derivative of -111375*a**3*l**3 - 953185*a**3*l**2 + 3*a**3 + 16*a**2*l**3 + a*l**3 wrt l? -668250*a**3 + 96*a**2 + 6*a What is the second derivative of -89828783*v**2 - 91803067*v? -179657566 What is the second derivative of 3*d**4*l*u - 398281*d**3*l*u - 8*d*l*u - 230*l - 67*u wrt d? 36*d**2*l*u - 2389686*d*l*u Find the third derivative of 383827*g**3*z + 4*g**3 + 4*g**2 - 2378*g*z + 3*g - 50*z wrt g. 2302962*z + 24 What is the second derivative of 10*d*l**3 - 2620*d*l**2 - d - 3*l**5 + 5*l**2 - 65667974*l wrt l? 60*d*l - 5240*d - 60*l**3 + 10 What is the derivative of -42646709*u**2 + 41343183 wrt u? -85293418*u Find the second derivative of 448*p*q**3 + 1991*p + 5507*q**3 - 2568*q wrt q. 2688*p*q + 33042*q Find the third derivative of 31013078*g**3*w**2 + 2*g**3*w + 1413*g**2*w - 16299*w**2 wrt g. 186078468*w**2 + 12*w What is the third derivative of 261*c**4*p**3 - 171570*c**4*p + 12*c**2*p**2 + 2771204*c*p**3 wrt c? 6264*c*p**3 - 4117680*c*p Find the third derivative of 25*y*z**3 - 463*y*z + 14500*z**5 + 2254*z**2 wrt z. 150*y + 870000*z**2 What is the second derivative of -36*h*i*o**2 + 7*h*i + 5*h*o**2 + 1985*h*o + 82*h - 5120*i*o**2 wrt o? -72*h*i + 10*h - 10240*i What is the derivative of 439*q**2*s + 2208*q**2*x + q**2 - 674*q*s*x + 3*q*s + q + 10*s*x - 510*s + 10 wrt x? 2208*q**2 - 674*q*s + 10*s Find the second derivative of a**2*o**2 - 120827372*a**2*o + 2*a*o**2 + 1064*a*o + 2*a - 2*o**2 + 488*o wrt a. 2*o**2 - 241654744*o What is the third derivative of -60*x**2*y**6 - 2*x**2 - 9*x*y**2 + 23*x*y + 16152*y**6 + y**2 - 23*y wrt y? -7200*x**2*y**3 + 1938240*y**3 Find the third derivative of d*p**4 - 25605808*d*p**3 + 3300*d*p**2 + 5084*d + 2*p**4 wrt p. 24*d*p - 153634848*d + 48*p Find the third derivative of -k**4 + 26191721*k**3 - 209129267*k**2. -24*k + 157150326 Find the third derivative of 8*a**6*w + 5189*a**3*w - 2*a**2*w + 581*a**2 + 1237 wrt a. 960*a**3*w + 31134*w Find the second derivative of -k**3*o + 18600*k**3 + k**2*o + 20*k**2 - 276*k*o + 2*k - 4*o + 156 wrt k. -6*k*o + 111600*k + 2*o + 40 What is the second derivative of -57828108*m**5*x**3 - 2*m*x**3 - m*x**2 - 3*m*x + 11*x**3 - 2*x**2 - 669 wrt m? -1156562160*m**3*x**3 Find the first derivative of -2*u**2 - 3264658*u + 14514562. -4*u - 3264658 Find the second derivative of -7*c**2*s**2 - c**2*s + 831*c*s**2 - 24970262*c*s + 2*c + 562*s**2 wrt s. -14*c**2 + 1662*c + 1124 What is the derivative of -775114*j*r**2*t + 100*j*r*t**2 - r**2*t**2 - 4*r**2*t + 4*r*t**2 - t**2 + 93866 wrt j? -775114*r**2*t + 100*r*t**2 What is the derivative of 52166500*t**2 - 101546997 wrt t? 104333000*t Find the first derivative of -8782458*c**3*n**2 - 103*c**3 + 275135*c**2 + c*n**2 wrt n. -17564916*c**3*n + 2*c*n What is the third derivative of -51788*j*n**3*z - 18*j*n**2*z - 139*j*n**2 + 2*n**3*z + 6*n**3 + 610*n**2*z wrt n? -310728*j*z + 12*z + 36 Find the second derivative of 118295081*k**3*p**2 - 10*k**3*p + 42*k**3 + 2*k**2 + 6825*k - 2 wrt p. 236590162*k**3 What is the first derivative of 83686851*t**2 + 31969466 wrt t? 167373702*t What is the derivative of 13*a**4 + 58*a**3 + 72*a**2 - 3*a - 13609753 wrt a? 52*a**3 + 174*a**2 + 144*a - 3 What is the third derivative of -242629292*f**4 - 159765*f**2 + 285? -5823103008*f What is the second derivative of -513241400*v**4 + 186851648*v wrt v? -6158896800*v**2 Find the third derivative of 282114715*b**3*u - 240872*b**2*u - 65*u + 4 wrt b. 1692688290*u Differentiate 470592633*p - 234584508 wrt p. 470592633 Find the second derivative of 11*i**2*s**3 - 441*i**2*s**2 + 391*i**2 - i*s**3 + 14*i*s**2 + 2*i*s - 33111*i + 3 wrt i. 22*s**3 - 882*s**2 + 782 What is the third derivative of 12694*w**5 - 3560*w**4 - 349031186*w**2 wrt w? 761640*w**2 - 85440*w Differentiate -1844*a**3*p**4 + 39*a**3 - 276275*a**2 + 433*a*p**4 wrt p. -7376*a**3*p**3 + 1732*a*p**3 What is the first derivative of o**3 + 43592961*o + 589267371 wrt o? 3*o**2 + 43592961 What is the second derivative of 14*h**2*k**2 + 24670707*h**2*k - 24*h*k**2 + 126*k**2 wrt k? 28*h**2 - 48*h + 252 Find the third derivative of 2*o**4 - 3784738*o**3 - 567*o**2 + 12*o - 143. 48*o - 22708428 Find the second derivative of 863691287*p**2 + 718971708*p. 1727382574 What is the second derivative of -14*v**3 + 683658*v**2 - 17*v - 2900700? -84*v + 1367316 Find the third derivative of -267*n**6 - 333776*n**5 - 5061451*n**2 wrt n. -32040*n**3 - 20026560*n**2 What is the third derivative of 239*v**4 + 1052879*v**3 + 470*v**2 - 18018*v - 1? 5736*v + 6317274 What is the derivative of -66582*m**2*y - 3641*m**2 - 1069*m + 116*y wrt y? -66582*m**2 + 116 What is the second derivative of -1066*h**4 - 13526*h**2 - 16685268*h wrt h? -12792*h**2 - 27052 Find the second derivative of -190882689*g**5 + 8*g + 4260737 wrt g. -3817653780*g**3 Find the first derivative of 58649460*g**2 - 48593413 wrt g. 117298920*g What is the first derivative of -2506734*x + 4056948? -2506734 Find the second derivative of 237975730*v**2 - 615774*v - 12. 475951460 Find the second derivative of -488039728*o**4 + 1850410*o - 83. -5856476736*o**2 Differentiate -2*w**2 - 61849732*w + 267801230 wrt w. -4*w - 61849732 Find the first derivative of -22*j**3 - 7*j**2 + 2655*j + 102494611 wrt j. -66*j**2 - 14*j + 2655 Find the first derivative of -3935352*f**4 + 27246110 wrt
{ "pile_set_name": "DM Mathematics" }
3420 What is the common denominator of -35/6 and -2/7? 42 Calculate the common denominator of 50/201 and 83/1206. 1206 Calculate the lowest common multiple of 114 and 48. 912 Calculate the lowest common multiple of 28 and 7. 28 What is the lowest common multiple of 12 and 248? 744 Calculate the smallest common multiple of 17268 and 3. 17268 Calculate the common denominator of -15/16 and -1/224. 224 What is the smallest common multiple of 198 and 60? 1980 Calculate the common denominator of -65/33 and -31/88. 264 What is the smallest common multiple of 266 and 3496? 24472 Calculate the least common multiple of 350 and 150. 1050 Calculate the common denominator of -27/1688 and 65/24. 5064 Find the common denominator of -3/20 and -15/16. 80 What is the common denominator of -44/15 and -28/957? 4785 Calculate the common denominator of 91/1158 and -59/26. 15054 What is the common denominator of -67/8 and -105/1166? 4664 Calculate the common denominator of 17/402 and -53/536. 1608 Calculate the smallest common multiple of 391 and 20. 7820 Calculate the lowest common multiple of 20 and 880. 880 Calculate the least common multiple of 6 and 12. 12 What is the lowest common multiple of 1956 and 36? 5868 Calculate the lowest common multiple of 228 and 20. 1140 Calculate the common denominator of 95/54 and 143/72. 216 Calculate the least common multiple of 321 and 54. 5778 Find the common denominator of -77/40 and 17/50. 200 Calculate the lowest common multiple of 18 and 2786. 25074 What is the common denominator of -58/2943 and 76/7521? 67689 Find the common denominator of 28/7579 and 59/154. 106106 Find the common denominator of -43/1593 and -8/1947. 17523 Calculate the smallest common multiple of 1162 and 12. 6972 Calculate the lowest common multiple of 20 and 266. 2660 Calculate the common denominator of -151/222 and -58/39. 2886 Calculate the common denominator of -57/8 and 11/72. 72 Calculate the lowest common multiple of 28 and 1666. 3332 What is the common denominator of 23/132 and -5/506? 3036 What is the lowest common multiple of 118 and 22? 1298 What is the common denominator of 1/6342 and -3/2416? 50736 Calculate the lowest common multiple of 178 and 10. 890 What is the least common multiple of 1519 and 2170? 15190 Calculate the common denominator of 41/21004 and 25/4. 21004 Find the common denominator of -13/170 and 91/408. 2040 What is the smallest common multiple of 190 and 361? 3610 What is the common denominator of 155/522 and 85/2088? 2088 Calculate the common denominator of 75/8 and 109/28. 56 Find the common denominator of 111/22 and 51/386. 4246 Calculate the smallest common multiple of 1245 and 51. 21165 What is the lowest common multiple of 609 and 6? 1218 What is the smallest common multiple of 8 and 80? 80 Calculate the least common multiple of 15 and 287. 4305 Calculate the common denominator of 49/232 and 6/145. 1160 Calculate the lowest common multiple of 7 and 31. 217 Calculate the common denominator of -73/3124 and -52/11. 3124 What is the smallest common multiple of 17697 and 9? 53091 Calculate the smallest common multiple of 72 and 42. 504 What is the smallest common multiple of 448 and 392? 3136 Find the common denominator of -107/88 and 49/2. 88 Calculate the least common multiple of 16 and 22. 176 Calculate the least common multiple of 1331 and 484. 5324 What is the lowest common multiple of 1749 and 1272? 13992 Find the common denominator of -71/33 and -101/30. 330 Calculate the lowest common multiple of 345 and 39. 4485 Calculate the smallest common multiple of 15 and 20. 60 Calculate the common denominator of 7/4 and 6/133. 532 What is the least common multiple of 86 and 387? 774 What is the smallest common multiple of 153 and 136? 1224 Find the common denominator of 57/20 and 125/84. 420 Find the common denominator of 95/48 and 35/62. 1488 Find the common denominator of 107/48 and -59/48. 48 Calculate the common denominator of 9/416 and -91/6. 1248 Calculate the smallest common multiple of 30 and 90. 90 What is the smallest common multiple of 2 and 109? 218 What is the common denominator of 38/55 and -6/275? 275 Calculate the common denominator of 71/42 and 4/273. 546 What is the common denominator of -22/1185 and 37/40? 9480 Calculate the smallest common multiple of 14 and 2800. 2800 What is the common denominator of -9/344 and 75/196? 16856 What is the smallest common multiple of 175 and 200? 1400 What is the lowest common multiple of 1788 and 16? 7152 What is the common denominator of 37/10 and -26/165? 330 What is the lowest common multiple of 405 and 5? 405 Find the common denominator of -65/4 and -49/117. 468 Calculate the least common multiple of 18504 and 32. 74016 Calculate the least common multiple of 11 and 446. 4906 Calculate the common denominator of -49/2558 and -1/16. 20464 Calculate the common denominator of -83/60 and -49/180. 180 What is the smallest common multiple of 5 and 209? 1045 What is the common denominator of 29/32 and -95/24? 96 Find the common denominator of -74/39 and 10/1001. 3003 Calculate the common denominator of -181/30 and 131/36. 180 Calculate the smallest common multiple of 474 and 60. 4740 Find the common denominator of 22/395 and -20/7031. 35155 Calculate the common denominator of 67/2114 and -101/5134. 35938 Calculate the common denominator of -24/55 and 47/30. 330 What is the common denominator of -103/60 and -139/60? 60 Calculate the common denominator of -29/140 and -97/2. 140 Find the common denominator of 21/32 and 5/2. 32 What is the smallest common multiple of 40 and 150? 600 What is the lowest common multiple of 95 and 460? 8740 What is the lowest common multiple of 24 and 156? 312 Find the common denominator of 33/140 and 67/148. 5180 Calculate the lowest common multiple of 22 and 188. 2068 Calculate the lowest common multiple of 33 and 1608. 17688 Find the common denominator of -61/1185 and 49/33. 13035 What is the least common multiple of 868 and 20? 4340 Find the common denominator of 89/68 and 52/3. 204 Calculate the least common multiple of 451 and 533. 5863 Calculate the common denominator of 113/14980 and -23/126. 134820 What is the smallest common multiple of 210 and 252? 1260 What is the common denominator of 109/1506 and -95/6? 1506 Find the common denominator of -71/231 and 25/198. 1386 Find the common denominator of -31/30 and -53/525. 1050 Calculate the smallest common multiple of 92 and 36. 828 What is the smallest common multiple of 72 and 72? 72 Calculate the common denominator of 161/60 and -3/190. 1140 Find the common denominator of 61/100 and -35/76. 1900 Calculate the common denominator of -89/78 and 77/60. 780 What is the smallest common multiple of 2924 and 4386? 8772 What is the lowest common multiple of 9 and 63? 63 Calculate the lowest common multiple of 426 and 124. 26412 What is the common denominator of -31/30 and -119/1812? 9060 Calculate the least common multiple of 3600 and 4000. 36000 What is the common denominator of -169/120 and 92/15? 120 What is the common denominator of -13/16 and 23/430? 3440 What is the common denominator of -9/12368 and 13/8? 12368 Calculate the lowest common multiple of 74 and 16. 592 Calculate the common denominator of -85/6 and -56/6095. 36570 Calculate the common denominator of 43/115 and 57/115. 115 What is the least common multiple of 9 and 198? 198 Calculate the common denominator of 119/18 and -83/120. 360 What is the common denominator of 75/8 and 67/8? 8 Calculate the lowest common multiple of 8 and 218. 872 Calculate the least common multiple of 14 and 213. 2982 Find the common denominator of 83/2764 and -27/2. 2764 Calculate the common denominator of 15/8 and 33/580. 1160 Find the common denominator of 1/1370 and -17. 1370 Calculate the common denominator of -33/40 and 29/248. 1240 What is the lowest common multiple of 20 and 32? 160 What is the common denominator of 99/212 and 9/32? 1696 What is the lowest common multiple of 508 and 12? 1524 What is the lowest common multiple of 35 and 930? 6510 Calculate the smallest common multiple of 6027 and 2009. 6027 What is the lowest common multiple of 112 and 6? 336 Calculate the least common multiple of 24 and 130. 1560 Calculate the smallest common m
{ "pile_set_name": "DM Mathematics" }
3 Suppose 0 = -5*h - 0*f - 5*f + 380, -4*h + 259 = -5*f. Suppose 5*o = h + 139. What is the tens digit of o? 4 Suppose -1302 = -v - 865. What is the units digit of v? 7 Suppose -a = -u + 3*u - 518, -3*a = 5*u - 1558. What is the hundreds digit of a? 5 Let v = -20 + 30. Suppose w - 3*w + v = 0. What is the tens digit of (w - 6) + 0 + 23? 2 Let g = -607 + 973. Let s = g + -113. What is the units digit of s? 3 Let x be (-1 + (5 - 3))/1. Let u(l) = 130*l**3 - l + 1. What is the units digit of u(x)? 0 What is the units digit of (-14)/2*(-16)/28 + 453? 7 Suppose 215 + 100 = -7*u. Let v be (-2*u/(-10))/1. What is the units digit of (-2)/(((-9)/(-3))/v)? 6 Suppose -4*c - c = 5, 5*c = -3*g - 11. Let x be (4 + g)/(1*-2). What is the units digit of (-4)/(x + 2 + -3)? 2 Suppose 624 = 9*d - 7*d. What is the hundreds digit of d? 3 Suppose 12 = 4*q + 4*w, 8 = -q + 4*w + 6. Suppose 4*s = 3*r - 228, -q*r + 2*s = -97 - 57. What is the units digit of r? 0 Let c(p) = 21*p + 474. What is the hundreds digit of c(0)? 4 Suppose -5*y = 2*b - 3 - 21, 2*b + 8 = 3*y. Suppose -o + 5*m + 9 = -0*o, -4*m = -y*o + 68. What is the tens digit of o? 1 Suppose 5*f = 8*f - 252. What is the units digit of f? 4 Let j = -54 + 87. Suppose -2*m - 7 = -j. What is the units digit of m? 3 Suppose -p - 12 = -15. Suppose -a = -p*z + 34 - 121, 0 = -4*z - 12. What is the units digit of a? 8 Suppose 4*k + 0*k - 2*u = 9874, 5*k = 5*u + 12335. What is the thousands digit of k? 2 Let f = -38 + 42. Suppose -f*g + 98 = -58. What is the tens digit of g? 3 Let c = -1 + 4. Suppose c*o - 23 = 10. Let u = -7 + o. What is the units digit of u? 4 Suppose 854 = 11*r - 7858. What is the hundreds digit of r? 7 Suppose -p + 4*z = 169, 4*p + z + 166 = -510. Let j = -47 - p. What is the tens digit of j? 2 Let h(t) = -t**3 - t**2 + t + 1. Let i(f) = 2*f**3 + f**2 - f + 9. Let a(j) = h(j) + i(j). Let r be a(0). What is the units digit of 52/r - (-11)/(-55)? 5 Let z be (-2)/8 - 5/(-20). Suppose -5*m - 72 + 482 = z. What is the tens digit of m? 8 Let l be -3*(30/9)/(-5). Suppose 5*d = 4*j + 7, -17 = -3*d - 2*j - l*j. Suppose 5 = d*z + h, -2*z - 4*h = -7 + 17. What is the units digit of z? 3 What is the tens digit of -1130*(-9 + 4)/5? 3 Let b = 821 - 473. Let k = b - 104. What is the hundreds digit of k? 2 Let n be 4/(2*3/(-24)). Let z(q) = q**2 + 11*q - 14. What is the units digit of z(n)? 6 Let b = -585 + 1191. What is the tens digit of b? 0 Suppose 2035 = 5*g - 5*i + 7*i, 4*i = 20. What is the tens digit of g? 0 Suppose 5*s = 4*p + 255 + 18, -4*s + p + 225 = 0. Let x = s - -16. What is the units digit of x? 3 Suppose -12*d + 6220 = 8*d. What is the hundreds digit of d? 3 Suppose 2*w - 2 - 11 = q, -2*w - 4*q = 12. What is the units digit of 105 - 4 - w - 4? 3 Suppose -4*k = -3*b - 939, -b + 262 = -2*k + 733. Let h = k - 149. What is the tens digit of h? 8 Let q = -149 - -136. What is the units digit of (-3 - -4)*-13*q? 9 Let g(t) = 3*t**2 - 5*t. Let j = 9 - 4. Let m be g(j). Let u = m + -31. What is the tens digit of u? 1 What is the units digit of 60/(-390) - (47068/(-26))/2? 5 Let q be (1 - 0)*12/6. Suppose -3*f + 5*c = -63, 0 = 4*c - q*c. Suppose x - f = -19. What is the units digit of x? 2 Let t = -875 - -1557. What is the tens digit of t? 8 Let q be (-9 - (-2)/(-1))/(-1). Let z = 478 + -477. Suppose -4*j = -5*l - 162, -5*l - z = -q. What is the tens digit of j? 4 Let s = -57 - -62. Suppose -i - 183 - 274 = -4*a, -4*a + s*i = -445. What is the hundreds digit of a? 1 Let r = 12 - 1. Suppose -3*l - 7 = -5*f + r, 4*f - 8 = -4*l. What is the units digit of -3 + f + 0 + 6? 6 Let s be 2 + 5*(-4)/(-10). Suppose 74 = s*x - 58. What is the units digit of x? 3 Let p(f) = f - 4. Let y(l) = l**2 - l + 1. Let q(w) = p(w) + 4*y(w). What is the tens digit of q(2)? 1 Suppose -3*p - 6*y + 2300 = -5*y, 3830 = 5*p + y. What is the units digit of p? 5 Suppose -w + 8*q + 2899 = 0, -1002 + 15702 = 5*w + q. What is the tens digit of w? 3 Let j(l) = -30*l**3 - 3*l**2 + 4*l - 1. Let g be j(1). Let y be 1*3*(-8)/6. Let u = y - g. What is the tens digit of u? 2 Let f = 14356 - 10031. What is the hundreds digit of f? 3 Let r(o) = 1095*o - 414. What is the hundreds digit of r(4)? 9 Suppose 0 = h + 4 + 32. Let z be (-191)/6 + 6/h. What is the units digit of 29/4 + (-24)/z? 8 Let u(k) = 2*k + 1. Let r be u(-2). Suppose 3*f + 17 = 2*w + 182, 3 = w. Let g = r + f. What is the tens digit of g? 5 Suppose 14*j - 3570 = -20*j. What is the tens digit of j? 0 What is the units digit of ((-136)/51)/((-2)/(-3)) - -845? 1 Suppose -3*j + 9 = 0, -3*a - j - 3*j + 3 = 0. Let u(z) = 6*z**2 + z + 2. What is the tens digit of u(a)? 5 Suppose 14 = -18*i + 20*i. Let j = i + 14. Let h = j - 6. What is the tens digit of h? 1 Let r = -12 - -8. Let c = 7 + r. Suppose -65 = -5*a + 3*b, 2*a + c*b + 13 = 3*a. What is the tens digit of a? 1 Suppose -6 = 40*w - 43*w. Suppose 0 = -w*b - 4*z + 399 + 323, -5*z - 1418 = -4*b. What is the tens digit of b? 5 Let p(j) = -54*j - 462. What is the hundreds digit of p(-18)? 5 What is the hundreds digit of 2*(-6 - (2 - 7)) + 720? 7 Let v(h) = -23*h + 28. Let m be v(1). Suppose -18 = -3*z - 0*z. Suppose 15 = m*p, b - 2*p - 36 = z. What is the tens digit of b? 4 Let y(u) = u**2 + 9*u - 1. Let n be y(-7). Let i(q) = q**3 + 16*q**2 + 9*q - 3. What is the units digit of i(n)? 7 Let c(i) = 3*i**3 - i**2 + i + 1. Let m be c(-1). Let f = 8 + -13. What is the tens digit of (-36)/(m*f/(-10))? 1 Let a be (-9)/(-12) - 33/(-4). Suppose -2*s + 61 = a. Suppose -m - 6*x - 1 = -x, -4*m = 5*x - s. What is the units digit of m? 9 Let q(s) = -s**2 + 9*s - 8. Let g be q(8). Suppose 0*p = w + p + 3, -3*w - 2*p - 4 = g. Suppose -3*m + 265 = w*m. What is the tens digit of m? 5 Let o(t) = -t**3 + 4*t**2 - t + 1. Let a be o(2). Let d = a - 8. What is the tens digit of (-8)/(d - (-3)/4)? 3 What is the units digit of ((-25)/50)/((-1)/8) - -14? 8 Let a(c) = -2*c + 29. Let y be a(-15). Suppose -6*z = -y - 151. What is the units digit of z? 5 Let r(m) = 2*m**3 - 68*m**2 + 67*m - 82. What is the tens digit of r(34)? 9 Suppose -2*s = 2*s - 20. Suppose 16 = 3*m + s*b, 3*m = -m - 2*b + 12. Suppose 5*j + 58 = -2*q + 5*q, 0 = 5*q - m*j - 84. What is the units digit of q? 6 Suppose 0 = -b + 2*b + 11. Let w = b + 15. Suppose w*u - u = 48. What is the units digit of u? 6 Let b = 21 - 21. Suppose 2*f - 52 = -k, 0 = -b*k - 5*k + 2*f + 296. What is the units digit of k? 8 Let i = -625 - -888. What is the units digit of i? 3 Let y be (-30)/(-10) - (1 - 3). Suppose p + 476 = 3*q - 110, -y*p + 222 = q. What is the tens digit of q? 9 Suppose y - 747 = r - 2801, r + y = 2060. What is the thousands digit of r? 2 Let a be (-175)/30 + 1 - 2/12. What is the hundreds digit of a/40 - (-4827)/24? 2 Let h(t) = -9*t + 1. Let m be h(7). What is the tens digit of (25 + m)/((-1)/2)? 7 Suppose 150 = 4*r - 234. Suppose -r = -4*d + 3*d. What is the tens digit of (d/((-6)/2))/(-2)? 1 Let o be ((-2)/(-6))/(91/84 - 1). Suppose 3*g = o*g - 147. What is the units digit of g? 7 Suppose 4*j + 80 = 3*b, -105 = 5*j - 2*b + 2. Let c = j + 129. What is the tens digit of c? 0 Suppose -5*d - 588 = t, 5*d + 3*t = -869 + 285. Let q = 171 + d. What is the units digit of q? 3 Let n(t) = 2*t**2 - 13*t + 6. Let j be n(6). Suppose 5*i - 29 - 86 = j. What is the units digit of i? 3 Let f(t) = 2*t**2 + 3*t - 3. Let p be f(-3). Let n(v) = p - 2 + 4*v**2 - 7*v + 2*v. What is the units digit of n(3)? 5 Suppose 4*f - 6*j = -4*j + 4118, -5*f + 5*j = -5135. What is the hundreds digit of f? 0 Let f(z) = -5*z - 1 - 7*z**2 - 7*z - 207*z**3 + 208*z**3. What is the units digit of f(9)? 3 Suppose 4*j + j = -4*r - 84, 4*j + 32 = -r. Let c = r - -192. What is the units digit of c? 6 Suppose -3170 = 4*i - 2*u, -4*i - 3*u = i + 3935. Let y = -557 - i. What is the units digit of y? 3 Let t be ((-34)/8 + 3)*-4. Suppose 5*d - 2*d = -s + 4, 3*s = -t*d. Suppose d = r - 6. What is the units digit of r? 9 Suppose -8*g + 472 = -7*g - 5*t, -2*g = t - 977. What is the units digit of g? 7 Let q be 4 + (-10)/(-5) + -4. Suppose 83 - q = z. What is the tens digit of z? 8 Suppose -11*h + 6*h + 3*r + 100 = 0, -3*h - 2*r = -41. Suppose 0 = h*d - 8496 + 3090. What is the units digit of d? 8 Let j(m) = m - 9. Let h be j(11). Suppose -4*b - 6
{ "pile_set_name": "DM Mathematics" }
= -229*l**2 - 43*l - 24. Let m(b) = b**2 - 3*b - 2. Let y(o) = a(o) - 12*m(o). Let w(k) = 2*k**2. Calculate y(w(g)). -964*g**4 - 14*g**2 Let v(a) = a**2 + 12. Let o(t) = -837*t + 417*t + 434*t. Give v(o(u)). 196*u**2 + 12 Let z(b) = -13*b**2 + 9*b**2 - 2*b - 3*b + 8*b**2. Let q(u) = 3*u**2 - 4*u. Let d(o) = 5*q(o) - 4*z(o). Let k(x) = -6*x. What is d(k(h))? -36*h**2 Let f(q) = -164*q. Let x(t) = -69*t. Let a(c) = 22*c. Let y(j) = -10*a(j) - 3*x(j). Determine y(f(r)). 2132*r Let n(c) = -3*c**2 + 6*c + 18. Let q(k) = k + 3. Suppose 0 = -9*o + 13*o + 4. Let a(f) = o*n(f) + 6*q(f). Let i(z) = 183*z. Calculate a(i(u)). 100467*u**2 Let f = 212 + -127. Let m = f - 79. Let p(k) = -4*k**2 - k**2 + m*k**2 - 4*k**2. Let v(z) = 5*z**2. Determine v(p(d)). 45*d**4 Let d(b) = 4*b**2 - 11*b + 11. Let h(a) = a**2 - 2*a + 2. Let w(t) = 6*d(t) - 33*h(t). Let s(i) = 2480*i**2 + 2480*i**2 - 4983*i**2. Determine w(s(v)). -4761*v**4 Suppose -7*s - 19 - 23 = 0. Let v = s + 32. Let u(w) = -w**2 + v - 11 - 15. Let p(a) = -3*a**2. What is u(p(n))? -9*n**4 Let u(w) = 3*w**2 + 2*w - 6 - 8*w + 12*w. Let f be 9/(-45) + (-31)/(-5). Let a(g) = -g + 1. Let n(l) = f*a(l) + u(l). Let t(x) = 4*x. Determine n(t(h)). 48*h**2 Let m(o) = -30*o - 918. Let q(x) = x + 34. Let i(n) = 2*m(n) + 54*q(n). Let k(a) = -2*a**2. Calculate i(k(y)). 12*y**2 Let b(l) = -4*l**2. Let f(s) be the second derivative of -s + 0*s**2 - 7/4*s**4 + 8 + 0*s**3. What is f(b(z))? -336*z**4 Suppose 25*h - 84 + 84 = 9*h. Let d(q) be the second derivative of -27*q + 1/3*q**3 + h - q**2. Let w(n) = 2*n. Calculate w(d(u)). 4*u - 4 Let a(m) be the first derivative of -25*m**2 + 930. Let x(k) be the first derivative of k**3/3 + 5. Calculate a(x(t)). -50*t**2 Let d(q) = -279*q. Let f(a) be the second derivative of 0*a**2 - 8*a - 1/3*a**3 + 1. What is f(d(h))? 558*h Let q(a) = -77*a. Let c(p) = -12087*p**2 - 2. Give c(q(o)). -71663823*o**2 - 2 Let d(k) = 281*k. Let v(y) = 150045*y. Give d(v(z)). 42162645*z Let b(m) = -11*m. Let v(z) be the second derivative of 7*z**3/6 + 12*z**2 + 3229*z. What is b(v(h))? -77*h - 264 Let b(u) = -3243*u - 5. Let r(f) = 13175*f**2. Determine b(r(p)). -42726525*p**2 - 5 Let v(i) = -29*i**2. Let c(t) be the second derivative of -41*t**4/4 - 3506*t. What is v(c(h))? -438741*h**4 Let w(r) = -4*r. Let t(m) be the first derivative of 72*m**2 + 3*m + 15993. Give w(t(u)). -576*u - 12 Let q(o) = 19*o - 5. Let x(k) = -29*k + 8. Let d(f) = 8*q(f) + 5*x(f). Let s be -6 + 1 + (6 - -14929). Let h(l) = 14930 - 4*l - s. What is h(d(j))? -28*j Let z(f) = 5*f**2. Let b(o) = -282*o - 282*o**2 + 533*o**2 + 282*o. Calculate z(b(i)). 315005*i**4 Let r(j) = -932*j**2 - 8041. Let w(b) = b**2. What is r(w(x))? -932*x**4 - 8041 Let a(p) be the second derivative of 1/4*p**4 + p + 0*p**3 + 2 + 0*p**2. Let s(w) = 46*w**2. Give a(s(d)). 6348*d**4 Let x(p) = -548287*p. Let v(b) = 147*b. Give v(x(s)). -80598189*s Let i(u) = -48*u + 9. Let x(l) = -19*l**2 + 126. Calculate i(x(g)). 912*g**2 - 6039 Let z(s) = -29540*s + 59448*s - 29652*s. Let j(k) = k. Determine z(j(x)). 256*x Let c(l) = -47*l - 298. Let w(j) = -12*j + 4. Let u(x) = c(x) - 4*w(x). Let d(b) = 2*b. Give d(u(g)). 2*g - 628 Let o(n) = -n**2. Let i(z) = -86*z + 11 + 175*z - 80*z. Let y(g) = 13*g + 16. Let l(a) = 7*i(a) - 5*y(a). Calculate o(l(k)). -4*k**2 - 12*k - 9 Let m(k) = -2*k. Let x(a) = -151*a**2 - 7*a - 7925. Give x(m(t)). -604*t**2 + 14*t - 7925 Let v(u) = 696*u - 146. Let w(n) = 14*n**2 - 7*n. What is v(w(a))? 9744*a**2 - 4872*a - 146 Let t(q) = 32*q - 11*q + 1 - 2*q - 7*q. Let d(v) = 10*v. Let y(u) = -5*d(u) + 4*t(u). Let s(h) = 2*h**2. What is y(s(a))? -4*a**2 + 4 Let n(o) = 2*o**2. Let b be 12/3*(-2)/12*-60. Let c(m) = -1522 + 1522 - b*m**2. What is c(n(u))? -160*u**4 Let n(y) = -93*y + 3. Let f(v) = 3*v + 761. Determine f(n(j)). -279*j + 770 Let f(s) = -s + 3*s + 2*s - 5*s. Suppose -n = -0 - 12. Let k(h) = -10*h - n*h - 13*h + 40*h. Determine k(f(x)). -5*x Let p(c) = c + 38. Let o(r) = -5*r**2 + 111244*r. What is p(o(n))? -5*n**2 + 111244*n + 38 Suppose 20 = 2*x + 16. Let o(v) = 58*v**2 + v - v - 56*v**x. Let t(l) be the first derivative of -2*l**3/3 + 1. Give t(o(a)). -8*a**4 Let g(u) = u. Let j(f) be the third derivative of 0*f**4 + 0*f - f**2 + 43/60*f**5 + 6 + 0*f**3. Calculate g(j(n)). 43*n**2 Let l(h) = h**2 - 7*h**2 + 4*h**2 - h**2. Let v(y) = -y - 95. Calculate v(l(u)). 3*u**2 - 95 Let a(c) = 27*c + 1. Let o(h) be the second derivative of -h**6/240 + 5*h**4/6 - h**3/3 - 135*h. Let q(v) be the third derivative of o(v). Give a(q(w)). -81*w + 1 Let y(d) = -118*d - 1783. Let f(q) = 692*q. Give f(y(s)). -81656*s - 1233836 Let f(m) = 443*m**2. Let i(v) be the first derivative of 2*v**3/3 - 137. Give f(i(h)). 1772*h**4 Let l(w) = -673*w - 810*w - 668*w + 2312*w. Let s(x) = 3*x. What is s(l(j))? 483*j Let l(m) be the third derivative of -131*m**5/60 - 2*m**2. Let d(k) = 4562 - 3*k - 4562. Determine d(l(w)). 393*w**2 Let t(s) = -1366*s**2 + 2*s - 12. Let v(p) = 202*p**2. Determine t(v(z)). -55738264*z**4 + 404*z**2 - 12 Let d(a) = -a**2 + 7*a. Let i(l) = -672124*l. What is i(d(u))? 672124*u**2 - 4704868*u Let l(t) = -118795*t + 8625. Let h(u) = 248*u - 18. Let x(f) = 2875*h(f) + 6*l(f). Let k(g) = 3*g**2. Determine k(x(v)). 158700*v**2 Let x(z) = 3824116*z**2. Let q(a) = 4*a**2. Calculate x(q(y)). 61185856*y**4 Let k(f) = -2*f**2. Let c(h) = 32*h + 29. Let d(x) = 46*x + 42. Let a(v) = -7*c(v) + 5*d(v). What is k(a(t))? -72*t**2 - 168*t - 98 Let r(h) = 2*h. Let d(x) = -1040115*x**2 - 6*x. Give r(d(b)). -2080230*b**2 - 12*b Let j(g) = -64*g. Let w(p) = -5205763*p. Calculate w(j(z)). 333168832*z Let b(p) = 5*p**2. Let h(l) = -l**2 + l - 10. Let y(f) = -129*f**2 + 215*f - 2150. Let m(q) = -215*h(q) + y(q). Give b(m(o)). 36980*o**4 Let s(n) = -33*n - 38*n + 112*n - 47*n. Let k(h) = 164*h. What is k(s(m))? -984*m Let b(n) = n**2. Let u(w) = -7383*w + 258. Let r(i) = 1779303*i - 62307. Let s(j) = 2*r(j) + 483*u(j). What is s(b(l))? -7383*l**2 Let w(h) be the first derivative of -4/3*h**3 + 36 + 5*h + 0*h**2. Let s(x) = -x**2. Give w(s(n)). -4*n**4 + 5 Let r(d) = 35714*d**2 - 17856*d**2 - 17856*d**2. Let y(a) = 25*a - 8. Give y(r(v)). 50*v**2 - 8 Let a(d) = 73669*d**2 - 6*d. Let c(m) = 5*m**2. What is a(c(h))? 1841725*h**4 - 30*h**2 Let m(z) be the first derivative of 21*z**3 - 40 - 23*z**3 - 11 + 50*z**3. Let q(l) = 2*l. What is m(q(g))? 576*g**2 Let q = 232 + -230. Let z(b) = -3*b**2 - 3*b**q + b**2 + 4*b**2. Let r(f) = -3*f - 24*f**2 + 3*f. Give r(z(d)). -24*d**4 Let b(o) = 12*o**2. Let w be 3/3 + (-4 - -5). Suppose 3 = -3*q - 5*a, -w*q - 4*a = -5*q + 24. Let u(v) = -143 + q*v + 143. What is b(u(s))? 192*s**2 Let g(q) = -q**2 + 3*q. Let a(j) = 6*j**2 - 21*j. Let c(b) = -2*a(b) - 14*g(b). Let o(m) = -8046*m. Determine c(o(i)). 129476232*i**2 Let m(t) = -6342*t + 2. Let g(j) = 3*j**2 + 12. Give g(m(w)). 120662892*w**2 - 76104*w + 24 Let n(u) = -3*u**2. Let z(p) be the third derivative of p**4/12 + 5*p**3/6 - 11*p**2 - 143. Determine z(n(g)). -6*g**2 + 5 Let x(l) be the first derivative of -l**3/3 + 4500. Let j(m) = -2699*m. Give x(j(q)). -7284601*q**2 Let x(p) = -4*p. Let j(l) = 42831056*l. What is j(x(z))? -171324224*z Let d(h) = 2167070*h. Let k(y) = 5*y**2. Give k(d(s)). 23480961924500*s**2 Let y(o) = o. Let c(w) = -6919*w**2 - 32*w. What is y(c(l))? -6919*l**2 - 32*l Let z(l) be the second derivative of -l**4/12 - 4*l - 4. Let k(x) be the third derivative of 29*x**4/12 - x**3/3 + 37*x**2. Give k(z(d)). -58*d**2 - 2 Let n(o) be the first derivative of -16*o**3/3 + 94. Suppose -5*d - 2*l + 2 + 10 = 0, 4*l = -16. Let x(m) = -3*m - 2*m + d*m + 4*m. Calculate n(x(f)). -144*f**2 Let d(r) = 2802456*r**2. Let h(t) = 105*t**2 - 1. Calculate h(d(s)). 824644761353280*s**4 - 1 Let m(t) = 22*t**2 + 3. Let r = -920 - -922. Let w(k) = 43*k**r + k - 69*k**2 + 25*k**2 - k. Determine m(w(d)). 22*d**4 + 3 Let i(o) be the first derivative of o**3/3 + 303. Let b(u) = u + 1. Let c(m) = 44*m + 7. Let h(a) = -28*b(a) + 4*c(a). Calculate i(h(j)). 21904*j**2 Let p(i) = -5421045*i. Let b(z) = 22*z. Determine b(p(j)). -119262990*j Let t(q) = -467*q. Let p(k) = -54*k**2 - 19*k. Determine p(t(n)). -11776806*n**2 + 8873*n Let q(m) = 4*m**2. Let w(f) be the first derivative of
{ "pile_set_name": "DM Mathematics" }
he nearest 10000. -100000 What is 0.773375 rounded to two dps? 0.77 Round 782.674 to the nearest 1000. 1000 Round -0.0002259832 to five dps. -0.00023 What is 0.00000071482 rounded to six dps? 0.000001 Round -0.01170668 to four decimal places. -0.0117 What is -10589167 rounded to the nearest one hundred thousand? -10600000 Round 118.2975 to the nearest 10. 120 Round -0.0000904853 to 5 decimal places. -0.00009 What is 11851274 rounded to the nearest 100000? 11900000 What is 1830985 rounded to the nearest one million? 2000000 Round -14.704627 to zero decimal places. -15 What is -6048.61 rounded to the nearest 1000? -6000 Round 0.02603965 to 5 decimal places. 0.02604 Round 2210414.6 to the nearest ten thousand. 2210000 What is -0.11006323 rounded to 5 decimal places? -0.11006 What is 0.000000245401 rounded to 7 dps? 0.0000002 Round -9614.4 to the nearest one hundred. -9600 What is 1142.29 rounded to the nearest 10? 1140 What is 0.007056 rounded to four decimal places? 0.0071 What is -135.29875 rounded to 2 dps? -135.3 Round -0.990262 to 2 dps. -0.99 What is 1284.28 rounded to the nearest ten? 1280 Round 0.00064531508 to seven decimal places. 0.0006453 Round -0.00387788 to 3 decimal places. -0.004 Round -0.003071984 to six dps. -0.003072 What is 0.012179709 rounded to four dps? 0.0122 Round -197978.57 to the nearest 100. -198000 What is -20305.7 rounded to the nearest 1000? -20000 Round -0.0088512 to four dps. -0.0089 What is 0.020991055 rounded to 3 dps? 0.021 Round 0.2245092 to 1 decimal place. 0.2 Round 0.89515 to 1 decimal place. 0.9 What is -0.07531908 rounded to two dps? -0.08 What is 1.05366 rounded to two decimal places? 1.05 Round -0.001373694 to 6 decimal places. -0.001374 What is 615.404 rounded to the nearest ten? 620 Round 9758.65 to the nearest 10. 9760 Round 3595.862 to the nearest 100. 3600 What is 16526.736 rounded to the nearest 100? 16500 What is 0.1750013 rounded to three decimal places? 0.175 Round 264801.98 to the nearest one hundred. 264800 What is 1.41185 rounded to 1 dp? 1.4 Round -0.0000471271 to seven dps. -0.0000471 Round 4.8589128 to 2 decimal places. 4.86 What is -0.05510919 rounded to three dps? -0.055 Round -605136.1 to the nearest 10000. -610000 What is 0.000006503278 rounded to 7 decimal places? 0.0000065 Round -3759000 to the nearest 1000000. -4000000 What is 0.00000364769 rounded to seven dps? 0.0000036 Round 3452928 to the nearest one thousand. 3453000 What is 0.0062368 rounded to four decimal places? 0.0062 Round 7.25881 to 1 dp. 7.3 What is -1632.5467 rounded to the nearest 100? -1600 Round 0.000001496271 to six decimal places. 0.000001 What is 0.023136 rounded to four dps? 0.0231 What is 0.000000565315 rounded to 7 dps? 0.0000006 Round 0.000015786363 to 7 decimal places. 0.0000158 What is -3849.8461 rounded to the nearest 100? -3800 What is 0.00694897 rounded to 3 decimal places? 0.007 What is -4174740 rounded to the nearest 10000? -4170000 Round 0.0004575911 to six dps. 0.000458 Round 0.00007842813 to seven decimal places. 0.0000784 Round 8809520 to the nearest one million. 9000000 Round -469.6919 to the nearest integer. -470 What is 10.312913 rounded to 1 decimal place? 10.3 What is -13.21187 rounded to one decimal place? -13.2 Round -5053.93 to the nearest ten thousand. -10000 What is 649733800 rounded to the nearest 1000000? 650000000 What is -0.0189268 rounded to five dps? -0.01893 Round -0.00002536441 to 7 dps. -0.0000254 Round 370.661 to the nearest ten. 370 Round 993302 to the nearest 100000. 1000000 What is 0.004243359 rounded to five decimal places? 0.00424 Round -0.0000028339 to 7 decimal places. -0.0000028 Round -0.000061883 to six decimal places. -0.000062 Round -0.00568925 to three dps. -0.006 Round -0.000139238 to five decimal places. -0.00014 Round 0.021265548 to 6 decimal places. 0.021266 What is -4674.61 rounded to the nearest one hundred? -4700 Round -0.0053067584 to six decimal places. -0.005307 What is 0.00110153 rounded to 4 dps? 0.0011 What is 4.9502821 rounded to three dps? 4.95 Round 9.2639 to zero dps. 9 Round -0.000338592 to 4 decimal places. -0.0003 Round -0.0210578 to 4 decimal places. -0.0211 What is -30981.626 rounded to the nearest 1000? -31000 Round -0.6755547 to 3 dps. -0.676 What is 0.804952 rounded to the nearest integer? 1 What is 633288.95 rounded to the nearest 10000? 630000 Round 37925490 to the nearest 1000000. 38000000 Round -172745.96 to the nearest ten. -172750 Round 18433.59 to the nearest 10. 18430 What is 118.77004 rounded to the nearest 10? 120 Round 389.1887 to zero dps. 389 Round -0.000021402974 to seven decimal places. -0.0000214 What is 1068.77 rounded to the nearest ten? 1070 Round -3228.74 to the nearest one thousand. -3000 What is -2989.33 rounded to the nearest 10? -2990 What is 8788210 rounded to the nearest 10000? 8790000 Round 3.422553 to three decimal places. 3.423 Round 4580449800 to the nearest 1000000. 4580000000 Round -0.0001149081 to 6 dps. -0.000115 Round -0.000838015 to 6 decimal places. -0.000838 Round 0.0001099038 to six dps. 0.00011 Round 296679.63 to the nearest one thousand. 297000 What is -0.1222242 rounded to five decimal places? -0.12222 Round 2.398274 to 0 decimal places. 2 Round -3899.032 to the nearest 100. -3900 Round 9002860 to the nearest one hundred thousand. 9000000 Round 131089 to the nearest 100. 131100 Round -0.003279649 to 5 dps. -0.00328 What is 832.1066 rounded to 1 decimal place? 832.1 Round 0.161813 to 1 dp. 0.2 Round 344655.68 to the nearest 1000. 345000 What is -1391053.19 rounded to the nearest 10000? -1390000 What is 0.224399 rounded to 1 decimal place? 0.2 What is -0.00000073628 rounded to seven dps? -0.0000007 What is -8628.19 rounded to the nearest one hundred? -8600 What is 8.464031 rounded to 1 dp? 8.5 What is -0.0000972263 rounded to 6 dps? -0.000097 Round -1.65037 to 2 dps. -1.65 What is -317.652 rounded to the nearest 10? -320 What is -0.0004457372 rounded to 6 dps? -0.000446 What is 431940600 rounded to the nearest 1000000? 432000000 Round -55183.46 to the nearest 100. -55200 Round 30.493 to the nearest ten. 30 Round 0.000013783485 to 7 decimal places. 0.0000138 Round -6.460285 to 1 dp. -6.5 What is 36.92531 rounded to the nearest integer? 37 Round -132693 to the nearest ten thousand. -130000 What is -0.000814028 rounded to four decimal places? -0.0008 What is 2045.676 rounded to the nearest integer? 2046 Round 0.009354675 to 4 decimal places. 0.0094 Round 10720.5 to the nearest 10000. 10000 Round 0.1725057 to one dp. 0.2 Round 52934.7 to the nearest one hundred. 52900 What is 0.00000387475 rounded to 5 dps? 0 Round 4523.411 to the nearest 100. 4500 Round -873330 to the nearest 100000. -900000 Round 0.0001543263 to 5 dps. 0.00015 What is -339193 rounded to the nearest 100000? -300000 Round 969504.2 to the nearest 10000. 970000 What is 4968786 rounded to the nearest ten thousand? 4970000 Round 0.0000054208 to six dps. 0.000005 Round -5107427.9 to the nearest one million. -5000000 What is 0.000291253 rounded to six dps? 0.000291 Round 0.7441755 to three dps. 0.744 What is -804938000 rounded to the nearest one million? -805000000 What is -0.000013590364 rounded to 6 decimal places? -0.000014 Round -2545.671 to the nearest one thousand. -3000 Round -0.1236446 to 3 decimal places. -0.124 Round -1964400 to the nearest 100000. -2000000 What is 29918170 rounded to the nearest 100000? 29900000 Round -0.01827043 to two decimal places. -0.02 What is -180876700 rounded to the nearest one million? -181000000 Round 0.011118904 to 3 dps. 0.011 What is -98.8217 rounded to 1 dp? -98.8 Round 13833200 to the nearest 100000. 13800000 Round 246587 to the nearest one thousand. 247000 What is -131691030 rounded to the nearest 100000? -131700000 What is -613547000 rounded to the nearest 1000000? -614000000 Round -0.122996 to 3 decimal places. -0.123 Round 13.39043 to 1 dp. 13.4 Round 23.6392 to 1 dp. 23.6 What is -5794630 rounded to the nearest one million? -6000000 Round -0.0002345 to six dps. -0.000235 What is -3.094604 rounded to 1 decimal place? -3.1 Round 225.211 to the nearest 100. 200 Round -188.01 to the nearest integer. -188 Round -22380.82 to the nearest ten. -22380 Round -84179930 to the nearest one million. -84000
{ "pile_set_name": "DM Mathematics" }
*q and give p. -135 Express (192*s + 125*s + 154*s)*(s**2 - 4*s**2 - 4*s**2) - s + 2*s**3 - s**2 + s**2 in the form f*s + u*s**3 + p*s**2 + o and give f. -1 Rearrange (-173*h - 168*h + 8 + 328*h)*(-h + 0*h - h) to i*h**2 + y + z*h and give z. -16 Express (22*c + 4*c**2 - 22*c)*(-10*c**2 - 23 + 2*c**2 + 9*c**2) in the form x*c**2 + v*c**3 + g + q*c + m*c**4 and give x. -92 Rearrange -104*k - 327*k - 94*k - 135*k - 336*k to u*k + n and give u. -996 Express (6*k**2 - 6*k**2 + 6*k**3)*(23 + 23 + 4)*(-5*k + 3*k + 3*k) in the form z*k**4 + n*k + p + h*k**3 + a*k**2 and give z. 300 Express -2*x**2 + 0*x**2 + 148*x + 4*x**3 - 257 + 257 - x**3 in the form q*x**3 + j + n*x + u*x**2 and give n. 148 Rearrange (h - 2*h + 3*h)*(-1 - 1 + 4) + 2*h - 2*h + h + 4 - 4 + 5*h - h - 6*h + 5*h + (4*h - h - 2*h)*(0 + 1 - 5) to p + t*h and give p. 0 Rearrange 2*x**2 + 6*x - 2*x**3 - 31 - x + 38 to i*x**3 + h*x**2 + b*x + l and give l. 7 Express (175 + 118*t - 346 + 171)*(-5*t + 3*t + 11 - 1) as p*t + k*t**2 + r and give p. 1180 Rearrange -3*r**3 + 2 + 70*r - 38*r - 28*r to the form x*r + s*r**2 + p*r**3 + f and give p. -3 Express ((0 - s + 0)*(-167*s + 423*s - 188*s) - 5*s + 2*s**2 + 5*s + (-4 + 2 + 0)*(3 - 2 + 0)*(-s**2 + 2*s - 2*s))*(3 + 1 - 9) as l + d*s + j*s**2 and give j. 320 Rearrange 14*z + 50*z - 10*z + (3 - 3 - 1)*(-1 + 1 + 2*z) - 2*z + 5*z - 4*z - 2*z + 3 - 3 to x*z + q and give x. 49 Express 78*o + 215*o - 28*o + 98*o in the form n*o + l and give n. 363 Express -5*t**2 - 3*t**3 + 12 + 2*t - 7 + 3 in the form z*t**2 + o + m*t + b*t**3 and give z. -5 Express 12151*u**2 - 12152*u**2 + 7*u + 9*u**4 - 2*u**4 in the form v + n*u + p*u**2 + m*u**4 + y*u**3 and give p. -1 Rearrange 3*n**3 + 3*n**3 - 4*n**3 + (1 - 1 - 2)*(n**3 - 5*n**3 + n**3) + 1 - 2*n**3 - 10*n + 13*n - n to the form z*n + d*n**2 + a + q*n**3 and give a. 1 Rearrange (85 + 33 - 17)*(55*v - 55*v - 12*v**2) to the form f + z*v + b*v**2 and give b. -1212 Express (-186 + 192 + 132 + 314)*(-3*j + j - j) in the form l + h*j and give h. -1356 Express 27*h + 154*h + 304*h as s + d*h and give s. 0 Rearrange 2*c - 1 + c + 6 + 3 - 9 + 7*c**3 to the form q*c**2 + y + d*c**3 + a*c and give a. 3 Rearrange -566*t + 216 + 284*t + 266 + 284*t to the form z*t + y and give y. 482 Express 83*b - 159*b + 270*b as p + n*b and give p. 0 Rearrange 5 + 357 + 0*f + 2*f + 213 to the form i + d*f and give i. 575 Express f + 3*f - 2*f + (-4*f + 3*f - f)*(-1 + 1 - 1) + f - 2*f + 2*f - 854 + 854 + 189*f as m*f + o and give m. 194 Rearrange -54 - 3*v**3 - 3*v**2 - 47 + 141 - 56 to the form j*v + u + q*v**2 + o*v**3 and give q. -3 Rearrange 9*i**3 + 51*i**3 + 1 + 0*i**2 - 204*i**4 + 210*i**4 + i**2 + 0*i**2 to the form p*i + d*i**3 + w + y*i**2 + u*i**4 and give y. 1 Rearrange 40 + 0*y + 74 - 13*y + 6*y to the form c*y + j and give c. -7 Express 8*g + 0*g + 1 - g - 2 + 37*g + 2 + (-g - g + 3*g)*(-1 + 3 - 1) as q*g + z and give q. 45 Rearrange v**4 - 4*v**4 + 5*v**4 + (-v**2 + 1 - 1)*(961*v - 961*v - 554*v**2) to h*v**3 + i*v**4 + j + u*v + y*v**2 and give i. 556 Express 55 + 3804*l + 45 - 3805*l - 28 as n + c*l and give n. 72 Express 136*z + 411*z + 122*z - 16*z + 160*z as n*z + c and give n. 813 Rearrange 21*n - 11*n - 1 + 7*n to the form v + g*n and give g. 17 Express 39*a + 176 + 43*a - 82*a - a**2 in the form j*a + v*a**2 + t and give t. 176 Rearrange -c**3 - 62 - c + 239 - 86 to the form a*c + b*c**3 + x + n*c**2 and give x. 91 Express -6*j + 11*j + 7*j + j - 1 + 1 + (2 + 2*j - 2)*(1 - 4 + 1) + j + j - j - 3982 + 3982 - 15*j in the form n + h*j and give h. -5 Rearrange -2 - 96*c**4 + c**4 + 93*c**4 - 5*c + 3*c**3 to the form i + q*c**4 + a*c + p*c**2 + h*c**3 and give h. 3 Rearrange -162*a + 7 + 2*a**2 + 80*a + 79*a - 4*a**3 to the form d*a**2 + y*a + q*a**3 + n and give q. -4 Express 47*o - 461*o - 479*o - 656*o in the form i*o + j and give i. -1549 Rearrange (-34*y**2 - 26*y**2 + 62*y**2)*(0*y + 2*y + 2*y) to k*y**3 + u + s*y + i*y**2 and give k. 8 Rearrange (8 - 8 - 6*t)*(6*t + 6 - 6)*(1 - 1 - 7) to f + k*t**2 + i*t and give k. 252 Rearrange -2*x - 847 - 640 + 3*x + 20 to n + r*x and give n. -1467 Express -399*i**2 - 281*i**2 + 310*i**2 - 311*i**2 in the form n*i**2 + v*i + b and give n. -681 Rearrange 7 - 7 - 23*o + 30*o to y*o + p and give y. 7 Express 3 - 59*t + 125*t - 1 - 19*t**2 - 66*t in the form y + g*t**2 + d*t and give y. 2 Express 10*b - 7*b + 21 + 10*b in the form y + c*b and give c. 13 Express (-1 + 0 - 5 + (0 + 0 - 2)*(-13 + 4 - 1))*(-4*a**2 + 0*a**2 + a**2) in the form p + o*a + z*a**2 and give z. -42 Express 30*y**3 + 52 - 11*y**3 + 29 - 18*y**3 - y**4 in the form x*y + v*y**4 + s*y**2 + h*y**3 + o and give v. -1 Express 19*y + 607*y - 43*y + 202*y + 85*y as s*y + f and give s. 870 Express (-2*j + 3 - 3)*((25*j + 1314 - 1314)*(-1 + j + 1) + 2*j**2 + 2 - 2) as i + h*j**3 + y*j + l*j**2 and give h. -54 Rearrange 15*o + 34 - 7*o**2 - 58*o - 35 + 10*o**2 to the form f + w*o + l*o**2 and give w. -43 Express -5*j**3 - 11*j**2 - j + 24*j**3 + 0 + 9*j**2 - 2 as t + d*j**2 + w*j**3 + b*j and give w. 19 Rearrange (-c**4 + 0*c**4 + 0*c**4)*(98 + 89 - 164) - 1 + 1 + 6*c**4 to i*c**3 + u*c**2 + d*c**4 + o*c + q and give d. -17 Rearrange -3*c**4 - 2*c**3 + 25*c + 25854*c**2 - 25854*c**2 to the form q*c**4 + u*c**2 + h + o*c + f*c**3 and give f. -2 Rearrange -852 - 309*z + 852 + 786*z to the form p*z + c and give p. 477 Rearrange (-7*j + 0*j + 4*j)*(-10 + 3 + 26)*(1 - 3 + 0)*(-1 + 3 - 4) to the form i*j + p and give i. -228 Express (8*z**2 + 2 + 59994*z**3 + 1 - 59996*z**3)*(-2 - 3*z + 2) - z**4 + 5*z**4 - 2*z**4 as s*z**4 + n*z + l*z**2 + c + q*z**3 and give q. -24 Rearrange (-2*n + n + 2*n)*(n**3 + 0*n**3 - 3*n**3 + (0*n**2 + 4*n**2 - 3*n**2)*(-7*n + 14*n + 24*n)) to the form y + g*n**2 + v*n**4 + b*n**3 + m*n and give v. 29 Express 5*u**3 - 111 - 3*u + u**2 + 55 + 57 - 6*u**3 + 123*u**4 as o*u**4 + l + c*u**3 + w*u**2 + n*u and give n. -3 Express (1 - 2 + 0)*(-286*a - 121536 + 121536) as t + f*a and give f. 286 Express 1038*w + 949*w + 7*w + 123*w as c + r*w and give c. 0 Rearrange 561*m**3 + 1 + 2*m**4 - 7*m**2 - 559*m**3 - 2*m + 0*m**2 to the form f*m**3 + p + x*m + v*m**4 + y*m**2 and give v. 2 Rearrange (-11 - 7 - 23)*(0*u**4 + 5*u**4 - 6*u**2 - 6*u**4) to the form k*u**3 + d*u**2 + n*u**4 + r + p*u and give n. 41 Rearrange (381 + 302 - 452)*(3*w - 5*w - 2*w) + 2*w - w + 0*w to b*w + g and give b. -923 Rearrange -113*t - t**3 + 3*t**3 - 11*t**2 - t**3 + 109*t to the form o + k*t**3 + n*t + b*t**2 and give n. -4 Rearrange (-394 + 2951*m + 810 - 416)*(-m**3 - 2*m + 2*m + 2*m) to the form v + k*m**4 + t*m + n*m**3 + c*m**2 and give c. 5902 Express 77 - 77 - 9*i**2 - 278*i**2 - 299*i**2 in the form b*i**2 + w*i + f and give b. -586 Rearrange (0*x + 0*x - x)*(-6 + 9 - 14)*(2 + 1 + 1)*(x + 0*x + 0*x) to the form a*x + y + k*x**2 and give k. 44 Rearrange (-4 - 1 + 2)*(2*h**2 - 3*h + 3*h + (-2*h + 3 - 3)*(5*h - 6*h + 0*h))*(0*h + 8*h + 44*h) to the form x*h + c*h**2 + q + f*h**3 and give x. 0 Express (32*z - 35*z + 2 + 5*z**2 - z**2)*(-4*z + 2*z + 11*z)*(0*z - 4*z + 3*z) in the form g*z**3 + w + f*z**2 + p*z + o*z**4 and give o. -36 Express -55*x + 57*x + 110 - 14 in the form y + l*x and give l. 2 Rearrange -3*t**2 + 5*t**3 + 3*t**2 + (2*t**2 - t**2 - 2*t**2)*(0 + t + 0) + 57 + 24*t**3 - 57 to z*t + h*t**3 + s*t**2 + i and give h. 28 Express 11*b**4 + 124*b**3 - 7*b - 65*b**3 + b**2 - 58*b**3 - b**4 as k*b**3 + h + a*b**2 + w*b**4 + r*b and give r. -7 Express (1 - 2 - 2)*(-180 - 183 + 545 + 433*l - 182) as r + h*l and give h. -1299 Rearrange (-34 + 34 + 3*a)*(2*a + 7*a - 2*a)*(1 - 3 - 2) to k*a**2 + o + t*a and give k. -84 Rearrange (0*b**3 + 3*b**3 + 0*b**3)*(8*b - 23*b - 7*b) + b**4 - 3*b**4 + b**4 to the form o*b**4 + v*b + z + n*b**2 + g*b**3 and give o. -67 Rearrange -2*z**2 - 4*z + 9 - 2*z**2 + 5*z**2 to the form y*z + b*z**2 + w and give b. 1 Rearrange 7*g**2 - 33*g**2 + 77*g**2 + g + (2*g**2 + 4*g**2 - 5*g**2)*(0 + 2 - 1) to q + m*g**2 + b*g and give m. 52 Rearrange 10 + 7*q**3 - q**4 + 7*q**3 - 6 + 11*q**3 + 0*q**4 to p*q + t*q**3 + v*q**2 + l + x*q**4 and give t. 25 Express -251*f**2 - 234*f + 74*f**2 + 234*f in the form z*f + u*f**2 + l and give u. -177 Rearrange (1 + 2*k - 1)*(32 + 121 - 1337) to z + p*k
{ "pile_set_name": "DM Mathematics" }
in the form h + c*g and give c. -12 Express 28*g**2 + 154*g - 310*g + 2 + 156*g in the form q + c*g**2 + b*g and give c. 28 Rearrange -3*p**4 + 3*p - p + 588*p**3 - 585*p**3 + 6 to the form z*p**2 + m*p + c*p**4 + t*p**3 + o and give t. 3 Rearrange 64*o - 10 + 2*o**2 - 64*o to the form j + a*o + h*o**2 and give a. 0 Express (-1 + 2 + 2)*(-n - 4*n + 2*n)*(-2*n + 2 - 2)*(0*n - n - n) in the form o*n + k + j*n**3 + h*n**2 and give j. -36 Express (0*n**2 + 2*n**2 + 0*n**2 + 3)*(10*n + 8*n - 22*n + 2) in the form k*n**3 + m*n + s*n**2 + l and give l. 6 Express (-4*p - 3*p + 5*p)*(6 + 26 - 52) as z*p + d and give z. 40 Rearrange (-2 + 2 + j)*(-4*j - j + 0*j) + (2*j - 1 + 1)*(j + 4*j - 2*j) to w*j + r*j**2 + x and give r. 1 Rearrange -3*h**3 + 5*h**3 + h + 20 - 18 - h**3 to o + f*h + k*h**2 + g*h**3 and give o. 2 Express 50*z + 18*z - 1 - 7*z in the form x + j*z and give x. -1 Express -94*x**2 + 32*x**2 - 57*x**2 in the form h + a*x + p*x**2 and give p. -119 Express -i**4 + 4 - i**3 - 3 + 3*i**2 - 1 in the form r + t*i**3 + s*i**4 + x*i**2 + b*i and give x. 3 Express -4 + 1 + 0 + 37*c - 36*c as f*c + l and give f. 1 Rearrange 3*c**4 - 2*c + 178 - 2*c**2 + c - 176 to p*c**3 + m*c + d*c**4 + i*c**2 + l and give i. -2 Express 5 + 2*z + 4*z**3 - 6*z**3 - z - 2*z**2 - 3 as g*z**3 + q + t*z + b*z**2 and give t. 1 Rearrange 14 - 13 - 2*m + m - 7*m to g*m + x and give x. 1 Express -2*c + 0*c - 6*c**2 - 4 + 3 in the form d + b*c**2 + w*c and give d. -1 Express -14*p**3 - 1 + 2*p**3 - 1 + 0*p**3 as t*p + k*p**2 + d*p**3 + z and give z. -2 Rearrange -3 + d**2 - 1 - 5*d + 5*d to o + w*d**2 + i*d and give o. -4 Express 15*f**2 + 83 - 2*f - 83 in the form y*f**2 + z + g*f and give z. 0 Rearrange 3*u**2 - 3*u**2 + u**3 + (-u + 2*u - 3*u)*(0 + 1 - 2)*(459*u - 459*u + 17*u**2) to s*u + h + k*u**2 + c*u**3 and give c. 35 Express (-2*v + 2*v + 2*v - 3)*(7*v**2 + 3*v**2 - 4*v**2) as o*v**2 + r + q*v + n*v**3 and give q. 0 Express -15*s**2 - 16*s**2 - s + 2*s + 29*s**2 - 4 - 3*s**3 in the form z*s**2 + f*s**3 + b + i*s and give z. -2 Rearrange 12*m**3 + 2*m**4 - m**2 - 12*m**3 + 10*m to the form d*m**4 + j + o*m + u*m**2 + k*m**3 and give o. 10 Rearrange (-2*c - 2*c + 2*c)*(-2 + 1 + 3) + 4*c + 0*c - 3*c + 1 - 2 - 1 + 2*c - 7 + 7 + 3*c to the form q*c + j and give j. -2 Rearrange 0 - 1 + 0*p**3 - 5*p**3 to the form b + u*p**2 + f*p + c*p**3 and give b. -1 Express 0*p**2 - 3*p**2 + 3*p + 0*p**2 + 2*p**2 in the form i + t*p + h*p**2 and give t. 3 Express (4 + f**3 - 4)*(1 - 6 - 2 + (0 - 1 + 0)*(-6 + 4 + 0) + 0 - 1 + 2) as x + b*f**3 + o*f + w*f**2 and give b. -4 Rearrange -484*f + 484*f + 159*f**2 to c*f + h + w*f**2 and give w. 159 Rearrange 3 - 2*v - 3 + (-v + 2*v + 0*v)*(-5 + 5 + 1) + 13 - 13 + 14*v + 2*v - 4*v + 7*v to f + q*v and give q. 18 Express (28*d - 8*d + 28*d)*(2 + 1 - 1) in the form n*d + i and give n. 96 Rearrange (6 - s**2 - 5 + 2*s**2)*(-2*s - s**2 + 2*s + (3 - 3 + 3*s**2)*(1 + 0 - 3)) to the form g + i*s + z*s**2 + c*s**3 + m*s**4 and give c. 0 Express (-2 - 2 - 2*o + 7)*(1 - 1 + o) - 3*o**2 + 15 - 2 - 11 in the form s*o + z + w*o**2 and give z. 2 Rearrange (-8 + 10 + 6)*(-2*y - y - y + (-y - y + y)*(-2 + 2 - 1)) to the form o*y + k and give k. 0 Rearrange (44 + 22 - 27)*(2*a**3 + 2*a**3 - 5*a**3) to p*a**3 + r*a**2 + l*a + k and give p. -39 Rearrange t + 0*t + t - 8*t to c + b*t and give b. -6 Express 2*h**3 + 207 - 105 + 68*h - 102 as a*h**2 + t*h**3 + i*h + x and give t. 2 Express -13*k + 8 + 2*k + 9*k in the form f*k + u and give u. 8 Express (2*f + 2*f - 2*f)*((-3*f**2 + 0*f**2 + 4*f**2)*(1 + 3 - 3) - 6 + 1381*f**2 - 1377*f**2 + 0*f - f) as h*f**3 + s*f + l + u*f**2 and give l. 0 Rearrange 3*g - 4*g**2 - g + 2*g**3 + 0*g**2 to o*g + c*g**3 + i + j*g**2 and give c. 2 Express 17*k - 24*k + 27*k in the form u*k + t and give u. 20 Rearrange (1 - 2 - 1)*(-p**2 + 4*p**2 - 5*p**2) + (p - 2*p + 0*p)*(-22*p + 8*p + 5*p) - p + p - p**2 to the form r*p**2 + y*p + f and give f. 0 Express -3*m - 8*m - 6*m as i + g*m and give g. -17 Rearrange (3 - 6 + 1)*(2 - 2 + 2*m)*(13*m**2 + 2*m**2 + 3*m**2) + (-3*m - m**2 + 3*m)*(-4*m - 4 + 4) to the form n + p*m + s*m**2 + f*m**3 and give f. -68 Express (2*j + 0 + 0)*(8 + 4 + 7) - 5*j + j + 3*j + (1 - 5 + 2)*(j - j - 2*j) in the form h*j + w and give h. 41 Rearrange 34*a + 2*a**3 + 3 + a**4 + 2*a**2 + 0 + 0*a**3 - 2 to the form m*a**4 + f*a**2 + v + p*a + i*a**3 and give m. 1 Rearrange (-v**2 - v**2 + 4*v**2)*(142 + 144 - 34) to the form s*v + p*v**2 + u and give p. 504 Rearrange -3*p**2 + p**2 + p**2 - 3*p**3 + 2*p**2 - 2 to k*p**3 + h*p**2 + t*p + q and give h. 1 Express -32*n**2 - 3*n + 10*n**2 + 5*n as y*n**2 + s + x*n and give y. -22 Express (-2*l**3 + 0*l**3 + 7*l**3)*(1 + 1 - 1 - 7 + 3 + 3 + (0 + 0 + 2)*(7 - 1 - 4) + 0 - 3 + 4) as b*l**2 + f*l + t + w*l**3 and give w. 25 Express (0*o + 0*o - 5*o)*(-4*o - 2*o + 4*o) - 3*o**2 + 4*o**2 + 0*o**2 as l*o**2 + x + b*o and give l. 11 Rearrange 6*n + 27 - 27 to the form m*n + c and give m. 6 Express -166*l + 0*l**3 - 4*l**3 + 162*l in the form p*l + n*l**3 + t + y*l**2 and give p. -4 Express 5*u + 0*u**2 - 5*u**2 - 3*u in the form b*u**2 + y*u + c and give y. 2 Express 2 - 4*g**2 - 2 + 2*g**2 - 3 - g**2 - 4*g**2 + 2*g**2 - 6*g**2 + 2*g**2 + (g + g**2 - g)*(4 - 5 + 0) in the form v*g**2 + m + i*g and give m. -3 Express (-1 + 1 - 1)*(3 + 0 - 124*s + 123*s) as n*s + c and give n. 1 Express -106*k + 245*k - 105*k in the form s*k + p and give s. 34 Express (3 - 6 + 2)*(-p**2 + 0*p**2 - p**2)*(1 + 0 + 0) in the form a + o*p**2 + r*p and give o. 2 Express (102*h - 197*h + 97*h - 24)*(-h - 2*h + h) in the form d*h + t + j*h**2 and give j. -4 Express -5*y - 14 - 16*y + 14 as j*y + g and give j. -21 Express 81 + 6*l - 7*l - 28 in the form x*l + i and give i. 53 Express 36*c**3 - 52*c**3 - 11*c**3 + c**2 in the form b + y*c + m*c**3 + a*c**2 and give a. 1 Rearrange -3*b**3 + b**3 - 3*b**4 - 5*b**2 - 7 - 2 + 11 to j*b**4 + h*b**3 + z*b + v*b**2 + w and give v. -5 Rearrange 17 - 2*t - 4 - 35*t**2 - 13 to d*t**2 + j + o*t and give o. -2 Express 10*q + 10*q**3 + 8*q - 22*q in the form n*q + k + m*q**2 + l*q**3 and give n. -4 Rearrange 5 - 13*m - 2*m**2 - 1 + 3*m - 3 to the form y + l*m**2 + z*m and give y. 1 Express -c**4 + 2*c + 19*c**3 - 2*c**2 - c**2 - 17*c**3 - 2*c**2 in the form t*c**2 + b*c**4 + s*c + r*c**3 + n and give s. 2 Rearrange (-1 + 1 + 1 + (2 + 3 - 4)*(-2 - 1 + 1) + 4 - 3 - 2)*(-5*c + c + c) to t*c + p and give t. 6 Rearrange (-3*w - 14 + 14)*(-6*w**3 + 0*w**3 + 2*w**3 + (w**3 + 0*w**3 + 0*w**3)*(0 + 2 - 3)) to the form j + f*w**2 + l*w**4 + k*w + c*w**3 and give l. 15 Express 1 + u**3 - 3*u**2 + 2 - 5 in the form x*u**3 + q + s*u**2 + j*u and give x. 1 Express (-j + 15 - 3*j - 13)*(3*j**3 - j**3 - j**3) as d*j**2 + o*j**3 + g*j + b + v*j**4 and give o. 2 Express 11*x - 20 + 3*x + 20 as o*x + s and give o. 14 Rearrange -12245 + 114*v + 12245 to the form j + c*v and give j. 0 Rearrange -4*y**2 + 2*y - y - y + 3 to b*y + p*y**2 + n and give b. 0 Rearrange (0*n - 2*n + n)*(3*n + 2 - 2)*(0*n - 3*n + 2*n)*(-9 - 1 - 8) to the form c*n + a*n**3 + x + w*n**2 and give a. -54 Rearrange -4*q - 56 + 56 + 16*q**2 to i*q + r*q**2 + x and give i. -4 Rearrange -g + 8 - g - 4 - 2*g to w + c*g and give c. -4 Rearrange (10 + 4 - 1)*(0 + 0 - 1)*(w + w**3 - w) to y*w**3 + f + k*w + o*w**2 and give y. -13 Rearrange -d**2 + 0*d**2 + 0*d**2 + (2 + 2 - 2)*(4*d - 4*d - 9*d**2) + (d**2 - 4*d**2 + d**2)*(-4 + 0 + 3) to g + k*d**2 + n*d and give k. -17 Express -41 + 3*o**3 + 17 - 8*o**2 - o**4 + 25 as l*o**3 + b*o**2 + n*o + a + h*o**4 and give n. 0 Express (-2*q + 2 - 2)*(-1 + 0 - 2)*(1 - 1 + 3) + (q + 0 + 0)*(-3 + 5 - 3) as l + a*q and give a. 17 Express -7*q**3 - 3*q**3 - 4*q**2 + 9*q**3 + (-2*q**2 + 6*q**2 - 3*q**2)*(0*q + q + q) + 2 + q**3 - 2 in the form n*q**2 + x*q**3 + s + r*q and give x. 2 Express -y**3 - 3*y**3 + y**3 + (0*y**2 + 3*y**2 - 2*y**2)*(-y + 4*y - y) - 4*y**3 + 9*y**3 + 12*y**3 in the form n + z*y + l*y**3 + u*y**2 and give l. 16 Rearrange -38 + 0*q**2 + 13*q**3 + 37 - 6*q**3 - 2*q**2 to i + d*q**3 + u*q**2 + g*q and give u. -2 Express (1 + g - 1)*(443*g - 439*g - 10*g**2 + 44*g**2) as d*g + i*g**3 + r + y*g**2 and give y. 4 Rearrange (-12*x - 17*x + 5*x)*(3 - 2 - 3)*(x - 2*x**2
{ "pile_set_name": "DM Mathematics" }
t integer? 83 What is the cube root of 19110 to the nearest integer? 27 What is the fourth root of 948 to the nearest integer? 6 What is the cube root of 3544 to the nearest integer? 15 What is the square root of 321 to the nearest integer? 18 What is 2544 to the power of 1/2, to the nearest integer? 50 What is the sixth root of 268 to the nearest integer? 3 What is the third root of 4080 to the nearest integer? 16 What is the third root of 3226 to the nearest integer? 15 What is the cube root of 53772 to the nearest integer? 38 What is 31169 to the power of 1/4, to the nearest integer? 13 What is the fifth root of 3644 to the nearest integer? 5 What is 131 to the power of 1/10, to the nearest integer? 2 What is the cube root of 18114 to the nearest integer? 26 What is the square root of 3187 to the nearest integer? 56 What is the eighth root of 3570 to the nearest integer? 3 What is 190 to the power of 1/7, to the nearest integer? 2 What is the third root of 2062 to the nearest integer? 13 What is 1755 to the power of 1/2, to the nearest integer? 42 What is 11955 to the power of 1/10, to the nearest integer? 3 What is 107713 to the power of 1/6, to the nearest integer? 7 What is the cube root of 5527 to the nearest integer? 18 What is the third root of 11795 to the nearest integer? 23 What is 18892 to the power of 1/3, to the nearest integer? 27 What is 11 to the power of 1/3, to the nearest integer? 2 What is the cube root of 241 to the nearest integer? 6 What is the eighth root of 114 to the nearest integer? 2 What is the seventh root of 127223 to the nearest integer? 5 What is the square root of 3488 to the nearest integer? 59 What is 11694 to the power of 1/3, to the nearest integer? 23 What is the square root of 47463 to the nearest integer? 218 What is 31192 to the power of 1/3, to the nearest integer? 31 What is the third root of 8498 to the nearest integer? 20 What is 200 to the power of 1/2, to the nearest integer? 14 What is the cube root of 5146 to the nearest integer? 17 What is the cube root of 76218 to the nearest integer? 42 What is the fourth root of 758 to the nearest integer? 5 What is 25073 to the power of 1/2, to the nearest integer? 158 What is 4471 to the power of 1/2, to the nearest integer? 67 What is the square root of 32426 to the nearest integer? 180 What is 3353 to the power of 1/3, to the nearest integer? 15 What is the square root of 6416 to the nearest integer? 80 What is 3551 to the power of 1/10, to the nearest integer? 2 What is 36653 to the power of 1/3, to the nearest integer? 33 What is the cube root of 1885 to the nearest integer? 12 What is the square root of 1753 to the nearest integer? 42 What is the third root of 27116 to the nearest integer? 30 What is 81365 to the power of 1/3, to the nearest integer? 43 What is the square root of 26 to the nearest integer? 5 What is 1186 to the power of 1/3, to the nearest integer? 11 What is the cube root of 702 to the nearest integer? 9 What is the cube root of 6423 to the nearest integer? 19 What is 5079 to the power of 1/3, to the nearest integer? 17 What is the square root of 7990 to the nearest integer? 89 What is 2208 to the power of 1/2, to the nearest integer? 47 What is the square root of 22808 to the nearest integer? 151 What is the third root of 7448 to the nearest integer? 20 What is the square root of 22289 to the nearest integer? 149 What is 16897 to the power of 1/2, to the nearest integer? 130 What is 60639 to the power of 1/2, to the nearest integer? 246 What is the square root of 15806 to the nearest integer? 126 What is the sixth root of 5754 to the nearest integer? 4 What is 463 to the power of 1/8, to the nearest integer? 2 What is 4740 to the power of 1/3, to the nearest integer? 17 What is the cube root of 12107 to the nearest integer? 23 What is the third root of 15329 to the nearest integer? 25 What is 2727 to the power of 1/2, to the nearest integer? 52 What is the third root of 691 to the nearest integer? 9 What is 24761 to the power of 1/2, to the nearest integer? 157 What is 2542 to the power of 1/7, to the nearest integer? 3 What is the third root of 16986 to the nearest integer? 26 What is the ninth root of 70847 to the nearest integer? 3 What is the square root of 5387 to the nearest integer? 73 What is the third root of 116814 to the nearest integer? 49 What is the cube root of 141003 to the nearest integer? 52 What is the cube root of 9899 to the nearest integer? 21 What is the fourth root of 3310 to the nearest integer? 8 What is the cube root of 380 to the nearest integer? 7 What is 38306 to the power of 1/6, to the nearest integer? 6 What is the eighth root of 1254 to the nearest integer? 2 What is the cube root of 1947 to the nearest integer? 12 What is the square root of 105176 to the nearest integer? 324 What is the third root of 13680 to the nearest integer? 24 What is the third root of 183 to the nearest integer? 6 What is the square root of 2704 to the nearest integer? 52 What is 37949 to the power of 1/2, to the nearest integer? 195 What is 145321 to the power of 1/2, to the nearest integer? 381 What is the eighth root of 93082 to the nearest integer? 4 What is the cube root of 36082 to the nearest integer? 33 What is the square root of 493 to the nearest integer? 22 What is 5291 to the power of 1/7, to the nearest integer? 3 What is 9015 to the power of 1/3, to the nearest integer? 21 What is 1104 to the power of 1/2, to the nearest integer? 33 What is 2315 to the power of 1/2, to the nearest integer? 48 What is the seventh root of 723 to the nearest integer? 3 What is the cube root of 755 to the nearest integer? 9 What is 15247 to the power of 1/2, to the nearest integer? 123 What is the cube root of 7086 to the nearest integer? 19 What is the cube root of 48349 to the nearest integer? 36 What is 29738 to the power of 1/3, to the nearest integer? 31 What is the cube root of 22436 to the nearest integer? 28 What is the square root of 1234 to the nearest integer? 35 What is the fourth root of 3959 to the nearest integer? 8 What is 13610 to the power of 1/2, to the nearest integer? 117 What is the square root of 10665 to the nearest integer? 103 What is the tenth root of 100681 to the nearest integer? 3 What is the third root of 766 to the nearest integer? 9 What is the tenth root of 2061 to the nearest integer? 2 What is 4447 to the power of 1/2, to the nearest integer? 67 What is the third root of 47592 to the nearest integer? 36 What is the cube root of 2863 to the nearest integer? 14 What is 123 to the power of 1/2, to the nearest integer? 11 What is 20703 to the power of 1/7, to the nearest integer? 4 What is the seventh root of 56563 to the nearest integer? 5 What is 3002 to the power of 1/9, to the nearest integer? 2 What is the eighth root of 7106 to the nearest integer? 3 What is the cube root of 16307 to the nearest integer? 25 What is 3658 to the power of 1/2, to the nearest integer? 60 What is the cube root of 935 to the nearest integer? 10 What is 2205 to the power of 1/3, to the nearest integer? 13 What is the third root of 30880 to the nearest integer? 31 What is 187 to the power of 1/3, to the nearest integer? 6 What is 27897 to the power of 1/2, to the nearest integer? 167 What is 119101 to the power of 1/3, to the nearest integer? 49 What is 1631 to the power of 1/5, to the nearest integer? 4 What is the tenth root of 5484 to the nearest integer? 2 What is the third root of 8487 to the nearest integer? 20 What is 1566 to the power of 1/2, to the nearest integer? 40 What is 1156 to the power of 1/5, to the nearest integer? 4 What is the fourth root of 3297 to the nearest integer? 8 What is 2822 to the power of 1/5, to the nearest integer? 5 What is 5062 to the power of 1/2, to the nearest integer? 71 What is 2948 to the power of 1/3, to the nearest integer? 14 What is 9214 to the power of 1/3, to the nearest integer? 21 What is the square root of 3073 to the nearest integer? 55 What is the cube root of 118 to the nearest integer? 5 What is the eighth root of 1079 to the nearest integer? 2 What is the ninth root of 8351 to the nearest integer? 3 What is 6405 to the power of 1/7, to the nearest integer
{ "pile_set_name": "DM Mathematics" }
*6 - i**2 + 170*i - 2. -64920*i**3 What is the third derivative of -73*z**4 + z**3 - 659*z**2 wrt z? -1752*z + 6 What is the second derivative of 55*i**2*n - i*n - 11*i - 2*n wrt i? 110*n What is the third derivative of -f**2*s**3*x + 4*f**2 - f*s**3*x + 35*f*s**2*x + 18*s**3*x + 2*x wrt s? -6*f**2*x - 6*f*x + 108*x What is the third derivative of 97*s**5 - s**3 + 33*s**2 - 2? 5820*s**2 - 6 What is the second derivative of 56*d**5 - 14*d**4 + 1484*d wrt d? 1120*d**3 - 168*d**2 Find the second derivative of -179*v**3 - v**2 - 31*v wrt v. -1074*v - 2 What is the third derivative of -7*b*h**3*x*y**3 - 180*b*h**3 + b*h*x*y**3 + 2*b*h*x - 46*b*x*y**3 + b*x*y + h**3*x - 2*h**2*y**2 wrt h? -42*b*x*y**3 - 1080*b + 6*x Differentiate -5*k**2*s**2 - 123*k**2*s - 3872*k**2 + 2*s**2 wrt s. -10*k**2*s - 123*k**2 + 4*s Find the second derivative of -2433*v**2 + v - 1190 wrt v. -4866 What is the first derivative of 3*f**2*p**2 + 16*f**2*p - 411*f**2*u - 2*f*p**2*u wrt p? 6*f**2*p + 16*f**2 - 4*f*p*u Find the third derivative of -51*j**5*m**3 + j**3*m**3 - 143*j**2*m**3 wrt j. -3060*j**2*m**3 + 6*m**3 What is the second derivative of -56*u**4*z**2 - 184*u**3*z**3 - 19*u*z**2 - 8*u - 9*z**3 - 2*z wrt u? -672*u**2*z**2 - 1104*u*z**3 Find the third derivative of -26*f**5 - 10*f**3 + 34*f**2 - 4*f. -1560*f**2 - 60 What is the first derivative of -11714*n + 17429? -11714 What is the third derivative of 296*b**4*x**3 + 2*b**3*x**3 + 3*b**2*x**3 + x**3 + 35*x**2 wrt b? 7104*b*x**3 + 12*x**3 Differentiate -1697*v**3 - 231 with respect to v. -5091*v**2 What is the second derivative of -n**4 + 247*n**2 - 191*n? -12*n**2 + 494 Find the first derivative of -907*v - 680 wrt v. -907 Find the second derivative of -43*z**3 + 9*z**2 - 4*z - 207 wrt z. -258*z + 18 What is the derivative of -4*h*r**2 - 20*h + 273*r**2 wrt h? -4*r**2 - 20 What is the second derivative of -657*p**3 - 653*p wrt p? -3942*p What is the third derivative of -9*b**6*c**2*r + 11*b**4*r + b**2*c**2 - 7*b**2*c*r + 2*b**2 - 4*b*c*r - 15*r wrt b? -1080*b**3*c**2*r + 264*b*r Differentiate -205*n**3*o + 112*n**3 + 2*n**2*o - 60*n**2 with respect to o. -205*n**3 + 2*n**2 Differentiate -o*r**3 - 401*o*r**2 + 179*o with respect to r. -3*o*r**2 - 802*o*r What is the third derivative of -c**5 - 3*c**3*k - 91*c**3 - 10*c**2*k - c*k + 42*k wrt c? -60*c**2 - 18*k - 546 Differentiate 1244*g*j + 56*j + 35 with respect to g. 1244*j Differentiate 3*i**3 - 36*i**2 + 1865. 9*i**2 - 72*i Find the second derivative of -j*z**4 + 877*j*z + 2*j + 756*z**5 wrt z. -12*j*z**2 + 15120*z**3 Find the third derivative of -k**5*u**2 - 218*k**4*u**3 + 2*k**2 + 34*u**3 wrt k. -60*k**2*u**2 - 5232*k*u**3 What is the third derivative of -k**2*w**5 + 7387*k**2*w - 7738*k*w**6 - 2*k*w**2 wrt w? -60*k**2*w**2 - 928560*k*w**3 Differentiate 4*f**2*h**3 - 29*f**2*h**2 + 450*f**2 + 2*f + h with respect to h. 12*f**2*h**2 - 58*f**2*h + 1 Find the second derivative of 213*y**4 + y**3 + 88*y + 2 wrt y. 2556*y**2 + 6*y Find the second derivative of 2*a**2*n + 10*a**2*v**3 + a*n*v + 5*a - 4*n*v**2 - 2*v**3 wrt a. 4*n + 20*v**3 What is the first derivative of h**2*r**3 + 194*h**2 + 49*h*r**4 wrt r? 3*h**2*r**2 + 196*h*r**3 Find the third derivative of 28*d**5*r**3 - 2*d**2*r**3 + 49*d*r**3 wrt d. 1680*d**2*r**3 Find the first derivative of 9325*d**3 - 5200 wrt d. 27975*d**2 Find the second derivative of -6*m*p**2 + 106*m*p - 471*p**3 - 6*p - 1 wrt p. -12*m - 2826*p Find the third derivative of 1500*c**5 - 983*c**2 wrt c. 90000*c**2 What is the third derivative of -694*g**3 - 992*g**2 wrt g? -4164 What is the third derivative of 237*j*o**3 - 25*j*o - 4*o**2 wrt o? 1422*j What is the third derivative of 153*v**6 - 123*v**2? 18360*v**3 Differentiate -1273*t**4 + 877 wrt t. -5092*t**3 Find the first derivative of 4*n**3*z + 3*n**3 - 49*z + 32 wrt z. 4*n**3 - 49 Differentiate 620*b**4 + 516 with respect to b. 2480*b**3 What is the second derivative of f**4*j**3 - 684*f**4*j**2 - f*j - 458*j**3 wrt f? 12*f**2*j**3 - 8208*f**2*j**2 Find the third derivative of 2009*j**4 + 108*j**2 - 5*j. 48216*j Find the second derivative of 2021*d**2 - 4110*d. 4042 What is the derivative of 8*f**2*m - 403*f**2 - 666*f*m**3 + 22*f wrt m? 8*f**2 - 1998*f*m**2 Find the third derivative of -58*w**5 - 8*w**4 - 2373*w**2. -3480*w**2 - 192*w What is the second derivative of 3482*j**3 - 1479*j? 20892*j What is the second derivative of 588*d**3*o + 9*d - 10*o wrt d? 3528*d*o Differentiate r**2 - 4225*r + 158 with respect to r. 2*r - 4225 What is the second derivative of -m**2*p**3 - 5*m**2*p + 13*m**2 + 2*m*p**2 wrt p? -6*m**2*p + 4*m Find the third derivative of -3*h**5 + 55*h**3 + 275*h**2. -180*h**2 + 330 Differentiate 309*a*h**2*n**3*v - 22*a*h**2*n**2 - 4*a*h**2*n*v - a*h**2 - 2*a*h*n**3 wrt v. 309*a*h**2*n**3 - 4*a*h**2*n What is the second derivative of -5*b**3*o**3 + 3*b**3*o + 4*b**2*o**4 - 9*b**2*o wrt o? -30*b**3*o + 48*b**2*o**2 Find the second derivative of -2*s**5 + 81*s**2 - 3*s + 89 wrt s. -40*s**3 + 162 Find the second derivative of 139*y**3 + 97*y. 834*y What is the derivative of -4459*n**2 - 2862 wrt n? -8918*n What is the third derivative of 2*c**4 - 6*c**3 + 205*c**2? 48*c - 36 Find the first derivative of c**3*q**2*v**2 + 1639*c**3*q + 2*c**3*v - 2*c*q**2 + 14*v**2 wrt v. 2*c**3*q**2*v + 2*c**3 + 28*v Find the second derivative of -k*m**2*q**2*s**2 - k*m**2*q*s**2 + k*m**2 - 46*k*m*q**2 + 2*k*q**2 - 2*k*s**2 + 46*m**2*s - 2*m*q*s wrt q. -2*k*m**2*s**2 - 92*k*m + 4*k What is the first derivative of -4*i*t**2 + 2067*i + 195*t**3 wrt t? -8*i*t + 585*t**2 Find the second derivative of 3*a**3 - 26*a**2 - 3*a + 95. 18*a - 52 What is the first derivative of l**3 - 6*l + 371? 3*l**2 - 6 Find the second derivative of -12*j**3*s**2 + j**2*s**2 + 2*j*s - 2*s**2 wrt j. -72*j*s**2 + 2*s**2 What is the third derivative of w**5 + 1955*w**4 - 9110*w**2? 60*w**2 + 46920*w Find the third derivative of -2*b**2*o**3*r + 20*b**2*o**3 + 17*b**2*o + b*o**2 - 21*b*r + 4*o**3*r wrt o. -12*b**2*r + 120*b**2 + 24*r Find the first derivative of 17*m**3 + 17*m - 1588 wrt m. 51*m**2 + 17 What is the second derivative of 2*h**4*w - 307*h**3*w**2 + 2*h**2*w - 8*h*w**2 + 82*h*w wrt h? 24*h**2*w - 1842*h*w**2 + 4*w What is the third derivative of -252*a*m**4 + 2*a*m**2 + 2*a + 2*m**5 - 125*m**2 wrt m? -6048*a*m + 120*m**2 Find the first derivative of 1008*s**2 + 1156. 2016*s Find the second derivative of -2*m**3 + 21*m**2 + 180*m wrt m. -12*m + 42 Find the first derivative of 382*p**2 - 2*p + 1799. 764*p - 2 Find the third derivative of -164*h**4 + 102*h**2. -3936*h What is the third derivative of 3*h**5*o**3 + 42*h**4*o**3 - 10*h**2*o**3 + 31*h**2*o**2 wrt h? 180*h**2*o**3 + 1008*h*o**3 Differentiate -2*w**2 - 71*w + 366 with respect to w. -4*w - 71 What is the second derivative of -1804*d**2 - 839*d + 1 wrt d? -3608 Find the second derivative of -309*d**4 - d**2 - 604*d wrt d. -3708*d**2 - 2 Find the third derivative of 25*n**4 + 4*n**3 - 297*n**2. 600*n + 24 Find the second derivative of t*u**2 - 2*t*u - 5*t + 45*u**4 + 3*u**3 + 14*u wrt u. 2*t + 540*u**2 + 18*u Find the third derivative of 684*c**3 + 2*c**2 + 224 wrt c. 4104 Find the third derivative of -73*k**4 + 3*k**2 + 8. -1752*k Find the second derivative of 9*a**5 + a**3 + 446*a. 180*a**3 + 6*a Find the second derivative of 89*q**2 - 112*q. 178 Find the third derivative of -886*i**4 + 20*i**2 + 34*i. -21264*i What is the second derivative of 121*c*d**3 + 2*c*d + 2*c + 11*d wrt d? 726*c*d Find the third derivative of -2*k**2*u**3 - k**2*u**2*x**4 - 4*k**2*u**2*x + 2*k*u**3*x**2 + 32*u**3*x**4 + 2*u**3*x wrt x. -24*k**2*u**2*x + 768*u**3*x Find the third derivative of 14*l**4*r - 89*l**4 + l**2 - 2*l*r + 2*r - 111 wrt l. 336*l*r - 2136*l Differentiate -27*i*s + 31*i - s**3 - 2 wrt s. -27*i - 3*s**2 Find the second derivative of -31*i**4 - i**3 - 20*i - 4 wrt i. -372*i**2 - 6*i What is the derivative of -23*f**2*t + 1255*f**2 wrt t? -23*f**2 Differentiate 59*a*j**3*u - 2*a*j**2 - 5*a*j*u - 63*j**3*u - 54*j*u wrt a. 59*j**3*u - 2*j**2 - 5*j*u Find the second derivative of -3*c*g*u**2 + 20*c*g*u + 4*c*u + 18*g*u**2 - 12*u**2 wrt u. -6*c*g + 36*g - 24 Find the second derivative of 24*a**2*b + 3*a**2 + a*b - 29*b wrt a. 48*b + 6 Find the
{ "pile_set_name": "DM Mathematics" }
2 Determine k, given that -2*k**2/5 - 44352*k - 2439118/5 = 0. -110869, -11 Suppose -3*p**2 + 2232*p - 134244 = 0. Calculate p. 66, 678 Determine z, given that -997983363*z**3 + 2002313898*z**2 - 12704436*z + 20184 = 0. 58/18239, 2 Determine h, given that 4*h**4 - 18164*h**3 + 15131588*h**2 + 30317684*h + 15167928 = 0. -1, 1102, 3441 Determine l so that -2*l**3/9 + 2032*l**2/9 - 51514*l - 1183420 = 0. -21, 395, 642 Let -645*s**3 + 8093346*s**2 - 39021345*s + 903096 = 0. Calculate s. 1/43, 24/5, 12543 Let -r**5/8 + 3989*r**4/8 - 2486019*r**3/4 + 991521983*r**2/4 + 4972039*r/8 - 1983047955/8 = 0. Calculate r. -1, 1, 997, 1995 Find v, given that 6*v**4 + 1419*v**3/2 + 24141*v**2/4 - 6213*v/4 = 0. -109, -19/2, 0, 1/4 Factor -25*r**2 - 22427310*r + 13456395. -5*(r + 897093)*(5*r - 3) What is y in -3*y**2/8 + 4645461*y/8 = 0? 0, 1548487 Determine x, given that 11*x**5/4 + 14016*x**4 - 412294*x**3 + 3585717*x**2/2 + 79643453*x/4 - 11110605/2 = 0. -5126, -5, 3/11, 17 Suppose 5*d**2 + 21945*d - 28133810 = 0. What is d? -5426, 1037 Factor 3*r**2 - 3210477*r. 3*r*(r - 1070159) Solve t**4/3 - 55*t**3/3 + 161*t**2 - 507*t + 540 = 0. 3, 4, 45 What is a in -56460888*a**5 + 461882232*a**4 - 476774446*a**3 + 71263548*a**2 + 89526*a + 28 = 0? -1/1602, 2/11, 1, 7 What is u in 2*u**3 + 1818*u**2 - 118464*u - 120280 = 0? -970, -1, 62 Solve -715208*h**4 + 22884264*h**3 - 111495906*h**2 - 373088*h - 312 = 0 for h. -1/598, 6, 26 Solve -10341*h**3 - 575910978*h**2 - 8018408797308*h - 4652398296 = 0. -27846, -2/3447 Let d**4/4 + 1187*d**3/4 + 16451*d**2/4 + 33973*d/4 - 12903 = 0. What is d? -1173, -11, -4, 1 Factor q**4/2 + 58803*q**3/2 - 117609*q**2/2 + 58805*q/2. q*(q - 1)**2*(q + 58805)/2 Factor -206718*c**2 + 44857810*c - 868. -2*(c - 217)*(103359*c - 2) Factor 5*g**3 + 13920*g**2 + 575605*g - 589530. 5*(g - 1)*(g + 43)*(g + 2742) Factor 3*c**3 + 15665433*c**2 + 20450474757072*c - 20450490422508. 3*(c - 1)*(c + 2610906)**2 Factor -s**3 - 134467*s**2 - 4519065815*s + 85910799931. -(s - 19)*(s + 67243)**2 Let -33*y**3 - 12930*y**2 + 25959*y - 12996 = 0. Calculate y. -4332/11, 1 Factor -2*x**2/17 - 11971422*x/17. -2*x*(x + 5985711)/17 What is u in -2014*u**2 - 38275*u - 171 = 0? -19, -9/2014 Let -258*q**4 + 42748*q**3/7 + 14306*q**2/7 - 48*q/7 = 0. Calculate q. -1/3, 0, 1/301, 24 Solve -2*z**5 + 3656*z**4 - 2220882*z**3 + 444575348*z**2 + 2265311560*z + 2734496112 = 0 for z. -3, -2, 589, 622 Factor -f**2/5 + 2298373*f/5 + 2298374/5. -(f - 2298374)*(f + 1)/5 Let 16*i**5/7 - 189278*i**4/7 - 781036*i**3/7 - 94672*i**2/7 = 0. What is i? -4, -1/8, 0, 11834 Find q such that -1058*q**4/5 + 76636*q**3 + 6887587*q**2/10 + 15288539*q/10 = 0. -203/46, 0, 371 Suppose 46*h**3/5 - 2625284*h**2/5 + 7491270720*h + 22800492288/5 = 0. Calculate h. -14/23, 28536 Solve -4*r**5 - 4984*r**4 - 1547468*r**3 + 3179944*r**2 + 20297472*r + 15575040 = 0. -624, -2, -1, 5 Determine q so that 75*q**4 - 1991235*q**3 - 398298*q**2 + 1274412*q - 318600 = 0. -1, 2/5, 26550 Determine o, given that -5*o**2 + 58421140*o - 170651479944980 = 0. 5842114 What is b in 4*b**4 + 936*b**3 + 35996*b**2 + 157080*b = 0? -187, -42, -5, 0 Solve -4*y**4/3 - 43775*y**3/3 + 1917508*y**2 - 188585995*y/3 + 46787650/3 = 0. -11074, 1/4, 65 Find x, given that -20*x**4 + 3235935*x**3 - 2426935*x**2 - 808980*x = 0. -1/4, 0, 1, 161796 Factor -5*y**2 - 1155798540*y - 66793513253306580. -5*(y + 115579854)**2 Solve -n**3/5 + 59045601*n**2/5 - 174319155777120*n + 174319143968000 = 0 for n. 1, 29522800 Determine o, given that o**5 - 17*o**4 - 50861*o**3 + 1017169*o**2 - 2389652*o - 3457664 = 0. -227, -1, 4, 17, 224 Solve -3*d**4 - 32139*d**3 - 64263*d**2 + 32139*d + 64266 = 0. -10711, -2, -1, 1 Factor -3*a**3 + 2064*a**2 + 52281*a - 169042842. -3*(a - 471)**2*(a + 254) Solve z**5/6 - 9838*z**4/3 - 768925*z**3/6 + 394300*z**2/3 = 0 for z. -40, 0, 1, 19715 Let x**4/7 - 12793*x**3/7 + 51088*x**2 - 357420*x = 0. What is x? 0, 14, 12765 Factor 3*g**3/5 - 5277*g**2/5 + 797592*g/5. 3*g*(g - 1592)*(g - 167)/5 Suppose -24201*a**5 + 338817*a**4 + 5251575*a**3 - 5566881*a**2 + 690*a = 0. What is a? -10, 0, 1/8067, 1, 23 Factor p**2/10 - 17707*p/5 + 106224/5. (p - 35408)*(p - 6)/10 Solve -m**5/6 - 3347*m**4/6 + 158945*m**3/6 - 1944325*m**2/6 + 742118*m/3 + 1795426/3 = 0. -3394, -1, 2, 23 Determine x so that x**4/6 - 358*x**3 + 249937*x**2/2 + 375980*x/3 = 0. -1, 0, 440, 1709 Find o such that 18*o**3 + 23924*o**2 + 4442142*o + 493276 = 0. -1106, -223, -1/9 Determine k, given that k**3/3 - 761*k**2 + 27284*k/3 - 24224 = 0. 4, 8, 2271 Factor -z**2/2 - 9305169*z - 86586170118561/2. -(z + 9305169)**2/2 Solve -3*t**4/5 - 432*t**3/5 + 5013*t**2/5 - 15738*t/5 + 2232 = 0 for t. -155, 1, 4, 6 Suppose -2*k**3/7 - 3036*k**2/7 - 157896*k - 16863728 = 0. What is k? -1042, -238 Determine w so that w**3/4 + 194873*w**2/4 + 97435*w/2 - 97436 = 0. -194872, -2, 1 Determine m, given that -3*m**2 + 2170773*m - 4341534 = 0. 2, 723589 Determine s, given that -3*s**5 + 450498*s**4 - 16911018984*s**3 - 101498551824*s**2 + 608912019408*s - 676548887520 = 0. -10, 2, 75086 Let -5*t**3 + 27790*t**2 + 2798775*t + 8146080 = 0. Calculate t. -96, -3, 5657 Solve 2*h**2 + 86175876*h - 172351760 = 0. -43087940, 2 Find z such that -32*z**4 + 930928*z**3 - 58056994*z**2 - 29203048*z - 3657654 = 0. -1/4, 63, 29029 Determine t so that 147*t**4/2 + 309687*t**3/2 + 165395415*t**2/2 + 2395262817*t/2 - 4341360321 = 0. -7321/7, -18, 3 Factor 2*s**2 + 23888*s + 55716696. 2*(s + 3178)*(s + 8766) Suppose 2*a**5/7 + 510*a**4/7 + 898*a**3 - 1534*a**2/7 - 19896*a/7 - 12584/7 = 0. Calculate a. -242, -13, -1, 2 Determine u so that 2*u**4/3 + 13780*u**3/21 + 312322*u**2/7 + 2077648*u/21 + 517448/21 = 0. -911, -71, -2, -2/7 Determine g, given that -2120*g**4 + 53305*g**3 + 170450*g**2 - 25495*g + 420 = 0. -3, 1/53, 1/8, 28 Let r**4 - 30872*r**3 + 239040021*r**2 - 11874946050*r = 0. What is r? 0, 50, 15411 Suppose -c**4 + 24974*c**3 - 124852*c**2 + 174786*c - 74907 = 0. Calculate c. 1, 3, 24969 What is c in -8*c**3/3 + 36644*c**2 + 714872*c/3 + 109984 = 0? -6, -1/2, 13748 Suppose 4*o**4/3 + 64868148*o**3 + 2366930504232088*o**2/3 - 788977029348480*o - 4733861397673088/3 = 0. What is o? -24325556, -1, 2 Factor -189*p**2/2 + 392619*p/2 - 65426. -(3*p - 1)*(63*p - 130852)/2 Suppose -5*k**4 - 2720020*k**3 - 370262568740*k**2 - 91699686097440*k - 5682788692441920 = 0. What is k? -271878, -124 Find a, given that -3*a**3 - 64851*a**2 - 2199633*a + 39561639 = 0. -21583, -47, 13 Factor 2*t**3 - 136794*t**2 - 273594*t - 136798. 2*(t - 68399)*(t + 1)**2 Solve i**5 - 873*i**4 - 146743*i**3 + 299577*i**2 + 445446*i = 0 for i. -146, -1, 0, 3, 1017 Factor -c**2/2 + 21437*c + 729147/2. -(c - 42891)*(c + 17)/2 Find a, given that 4*a**3 - 25972*a**2 + 233496*a - 466848 = 0. 3, 6, 6484 Suppose 8421604*g**4 + 105741654020*g**3 + 331922997312513*g**2 - 228754687780*g + 39413284 = 0. Calculate g. -6278, 1/2902 What is c in 2*c**2/5 + 93542*c/5 - 80180292/5 = 0? -47613, 842 Factor 2*w**4 + 1442*w**3 + 155496*w**2. 2*w**2*(w + 132)*(w + 589) Find r such that -80*r**4 - 212760*r**3 + 532235*r**2 - 439185*r + 119790 = 0. -2662, 3/4, 1 What is h in 5*h**3 - 91405*h**2 - 365685*h - 274275 = 0? -3, -1, 18285 Find h such that 3*h**5 + 2775*h**4 + 598659*h**3 - 3678411*h**2 + 3110526*h + 7384824 = 0. -573, -358, -1, 3, 4 Solve -2*w**5/5 - 258*w**4/5 + 21736*w**3 + 108936*w**2/5 = 0. -306, -1, 0, 178 What is v in 3*v**4/7 + 360*v**3 + 548469*v**2/7 + 7888152*v/7 - 7638480 = 0? -412, -21, 5 Find c, given that -2*c**2/5 - 5636*c/5 + 868896 = 0. -3448, 630 Suppose 4*o**5/9 - 12722*o**4/9 - 717526*o**3/3 + 2178014*o**2/9 + 2152574*o/9 - 240588 = 0. What is o? -162, -1, 1, 6683/2 Find u such that u**5/2 - 4907*u**4/6 - 13727*u**3/2 + 44413*u**2/2 - 61661*u/3 + 6028 = 0. -11, 2/3, 1, 1644 Solve -5*d**4/3 + 6094*d**3/3 + 2443*d**2 - 10978*d/3 - 2440/3 = 0 for d. -2, -1/5, 1, 1220 Solve -2*n**5/3 - 7042*n**4/3 + 14114*n**3 + 63458*n**2/3 - 98756*n/3 = 0 for n. -3527, -2, 0, 1, 7 Factor o**2 - 31957962*o + 255327833798361. (o - 15978981)**2 Suppose -t**3/6 + 333*t**2/2 + 28729*t/6 + 9243/2 = 0. Calculate t. -27, -1, 1027 Find i such that -3*i**2 + 11568456*i = 0. 0, 3856152 Suppose -2*o**3 + 465568*o**2 - 1862240*o = 0. Calculate o. 0,
{ "pile_set_name": "DM Mathematics" }
se 29*k + 2*u + 8046 = 32*k, -2*k = 3*u - 5351. Let p = -1118 + k. What is the smallest common multiple of 12 and p? 9372 Let i be (10/4 + -2)*12/3. Let a be (-12)/9*6 + i. Calculate the common denominator of 79/18 and a + (-5)/(-30) + (-6)/(-10). 90 Let b = 816 - 771. Suppose -60*o = -55*o - 175. Calculate the smallest common multiple of b and o. 315 What is the common denominator of 47/2541 and (8/1540)/(2736/89490)? 10164 Suppose -j + 1246 = 2*q, -3071 = -2*j - 2*q - 567. What is the least common multiple of j and 222? 3774 Let j be (-273)/(-4) + 6/(-24). Suppose -5*v + 4 + 1 = 0. What is the common denominator of -101/2 and (v/3)/((-1)/(-132)*j)? 34 Let g(p) = -p**3 + 6*p**2 + p - 8. Let r be g(6). Let u be (15/(-6) - -3)*4/r. Find the common denominator of -15/8 and u - 40/1188*-15. 792 Let v = 336347/32 + -10509. Calculate the common denominator of 125/12 and v. 96 Suppose -14 - 30 = -2*x. What is the smallest common multiple of 1/(-5) - (-30683)/2515 and x? 132 Suppose -22 = -4*s + 3*x + 29, -3*s = 4*x - 32. Suppose -4*p + 3*k = 113, 46*p + 127 = 41*p - k. Find the common denominator of (p/(-5))/(s/(-75)) and -81/10. 10 Suppose -236*c + 424320 = 104*c. Calculate the smallest common multiple of 12 and c. 1248 Let p be 6 + (-3 - (3 - 3)). Suppose -5*v = -v - 5*i - 105, -69 = -2*v - p*i. Calculate the least common multiple of 96 and v. 480 Let a be -1*162*(-1)/397. Let k = 32317/19850 - a. Find the common denominator of -53/2 and k. 50 Calculate the smallest common multiple of ((-576)/10)/((-314)/7850) and 2520. 10080 What is the common denominator of (9/3)/((-12)/(-57)) and 121/((-23)/(230/800))? 80 Let w = 17362/147 + -95441707/808059. Calculate the common denominator of w and 79/956. 21988 Let y be (-77263)/(-789)*(2 - 1454/4). Let w = 35400 + y. Let k = w - -31525/17358. Find the common denominator of 14/3 and k. 33 Suppose -125 + 137 = 6*h. Let i(c) = c**2 + 8*c + 7. Let x be i(-8). Suppose x = h*z - 5. What is the smallest common multiple of z and 6? 6 Let p(h) = -154*h + 4554. Calculate the least common multiple of p(21) and 770. 9240 Let n = -1971 - -1977. What is the smallest common multiple of n and 2735? 16410 Suppose -14970 = -61*u + 59694. What is the lowest common multiple of u and 216? 3672 Let w = -311647 + 3716702125/11926. Let q = -244303/715560 - w. Calculate the common denominator of -89/150 and q. 600 Calculate the common denominator of 15/5 + 6/11 and ((-16)/(-10))/((68/20)/((-9)/(-297))). 561 Let a be (-18)/(-2) - 63/9. What is the common denominator of 4/65 and a/(-9) + 19604/(-936)? 390 Suppose 7*o - 18 = -4. Suppose m - o*t = 4*m - 100, 5*t + 164 = 4*m. Calculate the lowest common multiple of m and 6. 36 Let u be (18 + -17)/(127/(-42)). Let a = -1993/1270 + u. What is the common denominator of (-81)/5*175/(-300) - 5 and a? 20 Let f = 50385403 + -5542353381/110. Let b = f + -1867/5. Find the common denominator of -59/270 and b. 2970 Let m be ((-625)/(-60))/(-1)*18440/28572. Let i = -4/7143 - m. What is the common denominator of 68/39 and i? 234 Suppose f + 5*m - 960 = 0, 13*f = 15*f - 5*m - 1830. What is the least common multiple of 558 and f? 2790 Find the common denominator of (-7)/6*(-145)/7 and (-8)/(-10) - (-9 + 11/(-22)). 30 Let i = 525 - 456. Suppose 2*n + 5*w - 57 = 0, 2*w + i = -4*n + 207. Calculate the least common multiple of n and 144. 144 Suppose 715*q = -1712663 + 5815333. Calculate the least common multiple of 3 and q. 17214 Let d = 77837/14 - 5562. Find the common denominator of 91*1/(-68) - -2 and d. 476 Let d = -171136 + 171138. Calculate the smallest common multiple of (-2)/(((-12)/(-147))/(-2)) and d. 98 Let o = -1233564552357426095/492792 - -2503215458765. Let q = o - 1/20533. What is the common denominator of q and -44/129? 1032 Suppose -6*r + 177 = -105. What is the smallest common multiple of r and 115? 5405 Suppose -90 = -70*n + 73*n. Find the common denominator of 77/40 and (-2 + -1 - -4) + 194/n. 120 Let k be -6 + 8 + (-6 - 0). What is the smallest common multiple of 13 - -1 - (k + (5 - 2)) and 30? 30 Let d(f) be the second derivative of -f**4/12 + 7*f**3/6 - f. What is the least common multiple of d(6) and 105 - (17 + 14 - -44)? 30 Let d = 371 - 357. Suppose -d*x - 320 = -18*x. What is the smallest common multiple of 4 and x? 80 Let m be 4/(-14) + (-34268)/(-182). Let g = -6557/1980 - -7/180. What is the common denominator of m/34 - 7 - -3 and g? 187 Let b = -10 - -18. Let l(w) = 11*w**2 - w + 8. Let j be l(3). Suppose 5*o = 2*p + j, 2*p = -2*o + 4*p + 44. What is the least common multiple of b and o? 40 Let w = -5788/21 + 1157677/4200. What is the common denominator of w and 91/240? 1200 Let h be (-2 + (-67)/10)*11585/(-14). Let j = h + -2563181/356. Let l = 263/3827 + j. Calculate the common denominator of l and -24/5. 215 Suppose 7254 - 85059 = -105*h. Calculate the least common multiple of 24 and h. 5928 Let v be (-1)/(30/(-40)*4/6). Let i be -5*(232 + v)*2/(-5). Calculate the common denominator of 49/20 and (-1616)/i*6/(-16). 780 What is the least common multiple of 135 and (336/(-273))/8 - (-394)/52*2? 135 Suppose 4*b - 9*k = -8*k + 52, -4 = k. Calculate the least common multiple of 4/b*18 + 842 and 16. 848 What is the least common multiple of 5 and (5*(-90)/(-40))/(2/8)? 45 Let q = 2/2237 - 17962/73821. Let j = -19900/9 + 2214. Calculate the common denominator of j and q. 99 Let x be (24/(-14))/((-18)/63) - 3. Let d be -3 + (-1 - (x - 2)). What is the least common multiple of 2 and d - -4 - (-18 + 1)? 16 Let g be 4*(88/198)/((-4)/(-18)). Let o(v) = 9*v - 24. Calculate the lowest common multiple of o(g) and 39. 624 Let m = -740 - -743. Suppose 5*g + 4*b = -b + 110, g - 3*b = 42. Calculate the smallest common multiple of m and g. 27 Let v = -208 - -251. Find the common denominator of (v/(-1290))/(2/(-515)) and 101/20. 60 Suppose 4*m - 3*c = -19, -3*m - 9 = -0*m + 3*c. Suppose 0 = -140*z + 138*z + 20. What is the smallest common multiple of z and (-16)/4 + 18 + m? 10 What is the common denominator of 137/870 and (453/273)/(-4 + (-2626)/(-91))? 11310 Let b = 2371121/5 + -48932761/105. Let h = -8196 + b. Find the common denominator of h and ((-3)/(-3) + -2)/((-6)/(-34)). 21 Let a = -29 - -41. Let v(m) = 27*m - 22. Let z be v(10). Let u = z - 242. What is the least common multiple of a and u? 12 Let i be (-2)/5*35/649663. Let m = -13271723/1670562 - i. Find the common denominator of 98/686 + 159/(-42) and m. 126 Calculate the common denominator of -13/80 and ((-9)/(3375/2))/(7/(2709/12)). 2000 Let t be (6 + 270/(-40))/(2/(-8)). Find the common denominator of -54/55 and (-7303)/(-1206)*t/10. 660 Let m = -38044 - -38055. Suppose 0*f + f = -2*c + 377, -4*c - 1161 = -3*f. What is the least common multiple of m and f? 4213 Let g be 5720/1856 + (-2 - -2). Let y = 226/29 + g. What is the common denominator of 5/106 and y? 424 Suppose -5948*b - 3520 = -5970*b. Calculate the smallest common multiple of b and 4. 160 Let r be 3*(-3)/(54/24). What is the lowest common multiple of -1*r/38 - 18580/(-380) and 2? 98 Suppose -5*b + 36 = -3*b. Suppose 5*s = -2*i + 21, -b = -4*i - 4*s + 42. What is the smallest common multiple of i and 12? 36 Let j = 8978033 + -172378233467/19200. Find the common denominator of j and 13/6. 19200 Let o = -1952 - -2118. Calculate the lowest common multiple of o and 1328. 1328 Let z(l) = 57*l**2 + 26*l + 29. What is the least common multiple of z(-3) and 20? 2320 Suppose -143 = -b + 3*t + 152, -4*t - 16 = 0. Let z = 187 - b. Find the common denominator of -95/144 and (-14)/84 + 5*(-122)/z. 144 Let j = -26381/3 + 8782. Let h = -2654 - -23932/9. Find the common denominator of j and h. 9 Suppose -2537 = 4*f + 3*r - 7356, 3*r = -2*f + 2399. Calculate the least common multiple of 330 and f. 3630 Suppose 2*h + 35 - 17 = 0. Suppose -29*w = -25*w - 24. Calculate the lowest common multiple of (4/3)/((-1)/h) and w. 12 Suppose -3*k + 7*k = 3*t + 206, -4*k - 3*t = -194. Calculate the lowest common multiple of k and (-5)/15 - 31/(-3). 50 Suppose 0 = 4*f - 5*g - 3486, 5212 = 6*f + 2*g - g. Suppose -f = -23*c + 3179. Calculate the smallest common multiple of 28 and c. 1232 What is the common denominator of 3660/(-1296) - (-3)/4 and (1 - -1) + (-52)/(-6)? 27 Let o = 2/2907149 - -369206
{ "pile_set_name": "DM Mathematics" }
/r) assuming r is positive. r**(13877/350) Simplify (o**(-8/7))**49/(o*o**(5/7)*o*o)**(1/17) assuming o is positive. o**(-6690/119) Simplify ((t*t/(t/t**(-25)))/(t/(t/((t*t*t**(14/5)*t)/t))))**(1/13) assuming t is positive. t**(-144/65) Simplify (x**(-1))**(-17)/((x*x**(-4/3)/x)/x*x*x/(x/x**(-1/12))) assuming x is positive. x**(221/12) Simplify ((z*z**(-10))/(z**9*z)*z**(-5/4)*z*z/((z/(((z*z**(-2)/z)/z*z)/z))/z*z))**0 assuming z is positive. 1 Simplify ((((s*s**(-16))/s)/s)**(-2/73))**(-1/4) assuming s is positive. s**(-17/146) Simplify (j*(j/(j**(-1/8)*j*j*j))/j*j*j*j*j**(-3/5)*j)/(j/(j**22/j))**(-8/5) assuming j is positive. j**(-1219/40) Simplify (i**(-1/3))**(-48)/(i/(i**(1/4)/i))**(-7) assuming i is positive. i**(113/4) Simplify (f*((f**33/f)/f*f*f)/f*(f**3*f)/f)/(f*f**(-10/13)*((f/(f/f**(7/6)*f))/f)/f) assuming f is positive. f**(2933/78) Simplify (r*r**10*r)**11*(r**(-5/3))**(-16/11) assuming r is positive. r**(4436/33) Simplify (((m/m**(-2/29))/m**(-1/5))/(m**(-7)*m*m*m**(5/2)*m*m))**(-49) assuming m is positive. m**(-25137/290) Simplify (a**(-7/4)/a)/(a*a**18)*a**(-1/4)/(a/(a**(-2/13)/a)) assuming a is positive. a**(-314/13) Simplify (m**(-3/10)*m)**(2/25)*(m**3*m)**(-36) assuming m is positive. m**(-17993/125) Simplify ((g**(-6/19)/g)**30)**34 assuming g is positive. g**(-25500/19) Simplify (b**(-6)/b**(-3/8)*b**0/(b*b*b/b**(-8)))**31 assuming b is positive. b**(-4123/8) Simplify (n**(-1/6)*n*n)**17/(n/(n/n**5)*n**(-1/3)) assuming n is positive. n**(53/2) Simplify ((u**7*u)/(u*u/(u/(u**(-1)*u*u))))/(u*u/((u/(u**(-1)/u*u))/u))**(-2/15) assuming u is positive. u**(92/15) Simplify w**(-7)*w**(-2/7)/w*w**(-7)*(w*w**9)/w assuming w is positive. w**(-44/7) Simplify u*(u*u**(-12))/u*u**(-11/4)*u*u**(-1/4)*u**(-1)/u assuming u is positive. u**(-15) Simplify ((v/(v/(v/(v*v/v**(8/7))*v*v))*v)/v)**(-2/27)/(v**26/v*v*v/(v*v**(-4/9)*v)*v*v*v) assuming v is positive. v**(-1802/63) Simplify ((u/(u/(u*u**(-8/7)))*u/(u**(-6)/u))**(6/5))**(3/14) assuming u is positive. u**(99/49) Simplify ((u**(5/8))**(2/15))**(-8/9) assuming u is positive. u**(-2/27) Simplify (p/p**11)/p*p*p**(2/51)/p*(p*p**0*p)**(6/19) assuming p is positive. p**(-10009/969) Simplify ((v*v**(-2/9))**(-11)*v**10*(v**(1/5)/v)/v*v)**(2/5) assuming v is positive. v**(58/225) Simplify ((a**(7/2)*((a*a**(-10))/a*a)/a)**(-21))**(-48) assuming a is positive. a**(-6552) Simplify ((t*t**(-1)*t)/(t**(-4/3)*t)*t**(-2)/t**(-1))**(-3/25) assuming t is positive. t**(-1/25) Simplify (d/(d*d/(d/(d/(d*d/(d**(6/11)*d)))*d*d)*d)*d)/(d*d**10*d)*d**(-8)/d*d*d**(-13) assuming d is positive. d**(-347/11) Simplify (q*q**(-5))**(-45)*(q**2*q)/(q/(q*q*q*q**(-12)*q)) assuming q is positive. q**174 Simplify ((n/(n*n**(-1/3))*n)/n*n/(n*n*n**(-15))*n)/(n/n**(4/3)*n*n**(-1/5)) assuming n is positive. n**(223/15) Simplify ((f*f**(3/2))/f)**(1/24)/(f**0)**(15/8) assuming f is positive. f**(1/16) Simplify (v**(3/4))**(1/44)*v*v**8*v/(v*(v*v**(-8))/v) assuming v is positive. v**(2995/176) Simplify m**(4/7)*m/(m/(m**3/m))*m*m*m**(1/34)*m**(2/35) assuming m is positive. m**(5543/1190) Simplify (((h/(h/h**(-1))*h)/h)**28/(h**(-2/35)/(h*h**(2/7)*h)))**(-22) assuming h is positive. h**(19756/35) Simplify (p/(p*p**(-6)*p)*p)**(-1/15)/(p**1)**(-47) assuming p is positive. p**(233/5) Simplify (a**(-3/2))**(-19)/(a**(2/5))**(-36/5) assuming a is positive. a**(1569/50) Simplify (u**(-3))**(-7/2)/(u/(u**(-1/4)/u))**(-6/23) assuming u is positive. u**(255/23) Simplify t*t*t*t*t/(t**16/t)*(t**1/t)/t*(t**0*t)/(t**(-20)/t) assuming t is positive. t**11 Simplify (h**(-4/7)*h/(h*h**(-15)*h*h))/(h/(h*h**(1/7)*h))**(1/4) assuming h is positive. h**(89/7) Simplify ((o**27*o**(-2))**25)**(1/2) assuming o is positive. o**(625/2) Simplify (a*a/(a**(1/5)/a)*(a/(a**4/a))/a)/(a/((a/a**1)/a))**12 assuming a is positive. a**(-121/5) Simplify ((o**(3/7))**(1/6))**(-22) assuming o is positive. o**(-11/7) Simplify (y**(2/3)/y)/y*(y/((y/(y/(y/((y/(y/(y/(y**(3/4)/y))*y))/y))))/y))/y*(y*y**(-4)*y)**(-1) assuming y is positive. y**(-1/12) Simplify ((d*d/(d**17*d))/d**(-14/9))**(-2/115) assuming d is positive. d**(52/207) Simplify ((g**(2/7)*(g/(g*g**1/g))/g)**(-6/7))**4 assuming g is positive. g**(120/49) Simplify (r**5/(r/(r/(r**(-8/5)*r)*r)))/((r*r**(-1/7))/r)**16 assuming r is positive. r**(311/35) Simplify ((i/(i/(i**10/i)))/(i*i*i**5*i*i))/(i**(1/5))**(2/87) assuming i is positive. i**(-2/435) Simplify (g*g**(-4))**(14/5)*((g/(g*g**(-16)*g)*g)/g)/g**(-6/5) assuming g is positive. g**(39/5) Simplify (w**21/(w**22/w))/(w/(w/((w/w**(-3/7))/w)))**(-2/51) assuming w is positive. w**(2/119) Simplify (s**(1/6))**11*s/s**(-8)*s**11 assuming s is positive. s**(131/6) Simplify ((p/(p*p**(4/7)))/p**(1/5))**(-6/29) assuming p is positive. p**(162/1015) Simplify (q*q**(-12))/(q/((((q/((((q*q**(-1/18))/q)/q)/q))/q)/q)/q))*((q*(q/(q*q**(1/3)*q))/q)/q)/(q**(-1/13)/q) assuming q is positive. q**(-3089/234) Simplify (a**(-1/5)/a)/a*a**(-6/5)*(a**(-1/5))**24 assuming a is positive. a**(-41/5) Simplify (u**(1/8)/u*u)/u**(-2)*u**(-14)/u*u**(-8) assuming u is positive. u**(-167/8) Simplify (j**(2/7))**46*j**(-11)*j**12/j assuming j is positive. j**(92/7) Simplify (d**(-12)/d*d/(d*d/d**(-1/18)))/(d**(6/7)/(d*d**(-19))) assuming d is positive. d**(-4147/126) Simplify (f*(f*f**(-31))/f*f)/(f/(f*f/(f**10/f)*f))*f**(11/4)*f**(-9/11) assuming f is positive. f**(-1499/44) Simplify ((u/u**31)/((u/(u*u**(-29/5)))/u))/(u**19/u**2) assuming u is positive. u**(-259/5) Simplify t/t**(-4)*t**(1/19)*t**(-1/20)*t*t/t**(-1/26) assuming t is positive. t**(34783/4940) Simplify g**18*(g**(-15)/g)/g*(g/(g*g**(2/19)*g)*g*g)**16 assuming g is positive. g**(291/19) Simplify (v*v**(-2)*v)**(-2/3)*(v**(1/2))**(-2/31) assuming v is positive. v**(-1/31) Simplify (s**5)**(13/5)/((((s*s*s*s**(1/14))/s)/s)/s)**(-44) assuming s is positive. s**(113/7) Simplify (f**(-5/4))**(1/25)*(f**(10/7)*f)/f**(2/15) assuming f is positive. f**(943/420) Simplify ((c*c**(33/2)/c*c*c)/(c*c**(3/17)))**(-7) assuming c is positive. c**(-4123/34) Simplify (m**(-2/13)/(m**(-15)/m))/(m*m**(1/16)/m*m**(-1/20)) assuming m is positive. m**(16467/1040) Simplify ((u**(-16))**36)**(-1/47) assuming u is positive. u**(576/47) Simplify ((x*x*x**(-1/5))/(x*x*x**(10/3)))/(x**(-5))**23 assuming x is positive. x**(1672/15) Simplify (f**(1/4)/f)**(3/19)*(f**(1/4))**3 assuming f is positive. f**(12/19) Simplify g**11*g*g**(-29)/g*(g/(g*((g*g*g*g**(1/7)*g*g*g*g)/g*g)/g))/(g*g*(g**(-1/20)/g)/g*g) assuming g is positive. g**(-3513/140) Simplify (d**(2/25)*d)/d**12*((d/d**(-7/5))/d)/(d*d/(d/(d/(d*d/(d/d**(2/11)))*d)*d)*d*d*d) assuming d is positive. d**(-3668/275) Simplify (n**(2/31)*n*n)/n**(-1/9)*(n/(n**14/n))/(n**5*n) assuming n is positive. n**(-4415/279) Simplify ((d**11*(d/(d**(1/10)/d)*d)/d*d*d)/((d**(1/3)*d)/d**(-2/7)))**(-9) assuming d is positive. d**(-8367/70) Simplify (q/q**(2/49))**24*((q**22*q)/q*q)/(q**(1/31)/q) assuming q is positive. q**(71375/1519) Simplify (i**2)**22/(((i**(1/3)/i)/i)/i)**(-3) assuming i is positive. i**36 Simplify (u*u**(1/13)*u**(-3))/((u/(u**(5/8)*u*u))/u**(-3/8)) assuming u is positive. u**(-35/52) Simplify (h**(8/9)*h*h*h/(h*h*h*h/h**(5/3))*h)/((h*h**(-1/7))/h**(4/9)) assuming h is positive. h**(15/7) Simplify (p/((p**(-4/7)*p*p)/p)*p)**(-3/16)*(p**8/p)/(p/(p*p**18)*p) assuming p is positive. p**(2655/112) Simplify (n**(1/3)/n**11)/(n**(-9)*n*n/n**(3/4)*n) assuming n is positive. n**(-47/12) Simplify (((f/((f*f**(9/4)*f)/f))/(f*f/f**(2/9)))/((f**(-1/3)*f)/f*f)**(-21))**(-2/125) assuming f is positive. f**(-359/2250) Simplify (p**(-1/7))**50*(p*p/(p/(((p**(5/6)*p)/p*p)/p*p))*p)/p**(-12) assuming p is positive. p**(365/42) Simplify (s**(-1/26)/s*s*s**(-6))/(s**(-7/5)/s)**27 assuming s is positive. s**(7639/130) Simplify (k*k**(-11))**(1/19)/(k**(-1/6)/k)**(-15/7) assuming k is positive. k**(-115/38) Simplify (b**12/b)**28/(b**(-27)/b*b/(b*b**(4/3))*b) assuming b is positive. b**(1009/3) Simplify l**(-3/2)/l**(-1)*l**(1/10)*l**10 assuming l is positive. l**(48/5) Simplify (n**(12/7)/n*n/(n**(2/113)/n*n))/(n/(n*n**3*n))**(-14/9) assuming n is positive. n**(-32218/7119) Simplify ((o**1)**(-20)*(o*o**(-9))/(o*o**(-8)))**(-5) assuming o is positive. o**105 Simplify ((r*r**(1/20)*r)/r)/r*r/(r/(r*r*r**(-
{ "pile_set_name": "DM Mathematics" }
s? -0.004 Let c = 310.699 - 0.799. Round c to the nearest 100. 300 Let x = 15.958 - 16. Let t = x - -0.06. Let d = -0.0180004 + t. Round d to 6 dps. 0 Let n = -11.36 - 459.64. Let p = n + 473.11. Let x = -2.109887 + p. Round x to five decimal places. 0.00011 Let o = -12.6 - -12.549. Let v = 0.061 + o. Let f = 1.19 - v. What is f rounded to one decimal place? 1.2 Let c = 201048721 - 388218721. Round c to the nearest one million. -187000000 Let p = -32720110571860717 - -32720110141880038.99999902. Let n = 429980699 + p. Let d = -21 + n. Round d to 7 decimal places. -0.000001 Let z = 8719.0056 - 8715. What is z rounded to the nearest integer? 4 Let v = 255 + -240. Let s(r) = -13*r**3 + 22*r**2 + 9*r - 40. Let j be s(v). What is j rounded to the nearest 1000? -39000 Let g = 0.0159 - -258.9841. Let d = g + -259.00087. Round d to three dps. -0.001 Let r = -12178.32 + 11346. Let a = -4.68 + r. Let z = 837.00411 + a. What is z rounded to four dps? 0.0041 Let x = -32863.714 - -32891. What is x rounded to one decimal place? 27.3 Let o = -14.387 - 2.343. Let h = o - -16.731578. Round h to 4 dps. 0.0016 Let c be (3 - 6) + 9 + 1 + -2. Let t be -1 - -2 - 1*36. Let s be -2*c/t + (-14784006)/21. What is s rounded to the nearest one hundred thousand? -700000 Let w = -14924324.8 - 3422821.2. Let l = w - -18347144.1140983. Let x = 1.886 + l. Round x to 5 dps. 0.0001 Let d = 730.0969 - 730. Let c = -8.5569 + d. What is c rounded to the nearest integer? -8 Let m = -17066.6 + 17065.68137. Let l = m + 0.92. What is l rounded to 4 dps? 0.0014 Let x = 1684 - 1684.00000000755. What is x rounded to 7 decimal places? 0 Let s = 6927544285.999999624 - 6927544465. Let c = s + 179. What is c rounded to seven dps? -0.0000004 Let p = -1.4 + -5.2. Let v = 11 + p. Let x = v - 4.4000035. What is x rounded to six decimal places? -0.000004 Let k = 7.34 + -0.14. Let h = k + -7.199806. Round h to four decimal places. 0.0002 Let i = 5560 + -3487. Let g = 2082.23 - i. What is g rounded to 0 dps? 9 Suppose -27 = 8*t - 51. Let n(i) = 76*i**2 - 31*i + 82. Let k be n(t). Round k to the nearest 100. 700 Let l = -811.9 - -982.9192. Let v = l + -171. What is v rounded to three decimal places? 0.019 Let p = 1.2947 - 1.29471161. What is p rounded to 4 decimal places? 0 Let b = 0.701 - 0.153. Let s = 10.612 + b. Round s to the nearest integer. 11 Let v = -31.05049 - 0.02951. Round v to the nearest 10. -30 Suppose 0 = -5*m + 2*o + 2613006, 88*m + o = 89*m - 522603. Suppose 64*r - m = 61*r. Round r to the nearest 1000. 174000 Let f = 3546588 - 3546532.000648. Let g = f + -56. What is g rounded to five dps? -0.00065 Let l = -686 - -686.0784. Let s = -0.078398252 + l. Round s to six decimal places. 0.000002 Let c = -128.8999995312 - -128.9. Round c to seven dps. 0.0000005 Let q = -218 + 209. Let v = q - -8.99999792. Round v to 6 dps. -0.000002 Let r = -15519 + 3966. Let c = 5453 + r. Round c to the nearest 1000. -6000 Let g = -45 - -176. Let l = 138.4 - g. Let s = l + -5.64. What is s rounded to one dp? 1.8 Let z = -41 + 47. Let v be ((7 + -10)/(z/(-16)))/2. Suppose -3*n + h = -3*h + 90, -v*n - 5*h = 151. Round n to the nearest 10. -30 Let z = -1271.16 - -1271.1600062083. Round z to 6 decimal places. 0.000006 Let k = 2736 - 2736.000175536. Round k to 5 dps. -0.00018 Let u = -26249.8459 - -26248. What is u rounded to two dps? -1.85 Suppose 3*x = 12, 3*x = b + 7 + 2. Suppose b*p = p + 8. Suppose 2*w - 440 = -p*i, -i - 3*w - 2*w + 110 = 0. Round i to the nearest one hundred. 100 Let y(t) be the second derivative of -193*t**3/6 + 44*t**2 + 122*t + 1. Let x be y(-4). What is x rounded to the nearest one thousand? 1000 Suppose 7*n = -9 + 16. Suppose 4*s - 2492000 = -s. Let u be (s/42)/((-2)/(-150)*n). What is u rounded to the nearest 100000? 900000 Let h = -4.07 + 3.9995. Let b = h + 8.7905. What is b rounded to 1 dp? 8.7 Let w = 1746781.5 - 1746772.6405452. Let t = w - 26.8594693. Let s = t + 18. Round s to 6 decimal places. -0.000015 Suppose -661*j + 622*j = -2346513000. Round j to the nearest one hundred thousand. 60200000 Let k = 377.4 - 551.7. Let u = -201.9 + 16.9. Let c = k - u. Round c to zero dps. 11 Suppose 65*i - 4*x - 268137 = 68*i, 5*i + 5*x + 446905 = 0. Round i to the nearest 1000. -89000 Let u = 7079 + -7079.00000044224. Round u to 7 dps. -0.0000004 Let j = -1456.66 + -21.34. Let y = j + 1477.98763. What is y rounded to 3 decimal places? -0.012 Let n = -3.3911867526 + 704.036687161. Let x = n + -7.6455040784. Let z = -693 + x. Round z to seven dps. -0.0000037 Let x = 8 + -1. Let w be (-248)/32 - (-6)/8. Let d be 0 + (-2)/w + 20928/x. Round d to the nearest one hundred. 3000 Let m = 526.886239 + -523.2941. Let t = 3.594 - m. Round t to 4 dps. 0.0019 Let o(z) = -74105*z**2 - 186*z + 724. Let q be o(4). What is q rounded to the nearest ten thousand? -1190000 Let t = -1393 + 1393.00003192. Round t to six dps. 0.000032 Let d = -2856 + 2855.9979236. Round d to three dps. -0.002 Let j = -0.268 - -0.135. Let r = j + 0.132709. Round r to four decimal places. -0.0003 Let h = 248.57 + -248.56969842. What is h rounded to 4 decimal places? 0.0003 Let i = -10339.839729 + 9790.83972146. Let p = -549 - i. Round p to six decimal places. 0.000008 Let k be (-6 - 10)/(0 - 1/(-2)). Let l = k + 220. What is l rounded to the nearest 10? 190 Let u(a) = 1225124*a**2 + 3*a + 29. Let t be u(-11). Suppose 30*w - 13*w - t = 0. What is w rounded to the nearest one hundred thousand? 8700000 Let g = -0.49493 + -9.15997. Round g to 1 decimal place. -9.7 Suppose 2*q = -5*z + 7*q + 50575, -z = 2*q - 10121. Suppose 48070 = 5*r - 4*u, -5*u + z - 58192 = -5*r. What is r rounded to the nearest one hundred? 9600 Let u = 285727 + -285710.0697. Let j = u - 16.9. Round j to 3 decimal places. 0.03 Let j = -21.1 - -230.1. Let m = 794.94 + -1001.8. Let f = m + j. Round f to one dp. 2.1 Suppose -5*k + 6*k + 3*r = 237850009, -k - r = -237849999. Suppose -v - 7*a + 5*a = 47569996, 3*a + k = -5*v. Round v to the nearest one million. -48000000 Let o = 2.164 - 2.1632245. What is o rounded to 5 dps? 0.00078 Let o = -619 + -213. Let r = 832.001107 + o. Round r to four dps. 0.0011 Let s = -414.4746938 - -414.48. Round s to 4 decimal places. 0.0053 Let n = -6.96 + -18.56. Let m = n + -0.48. Let b = 25.99996 + m. What is b rounded to five decimal places? -0.00004 Let o(q) = -49*q - 204. Let i be o(-4). Let n be -152900002 - (40/i + 3). Round n to the nearest one million. -153000000 Let n = 40.3 - -11.7. Let v = n + -40.8. Let y = v - 9. What is y rounded to 0 dps? 2 Suppose 356374 = -5*k + 4*r, 0 = -4*k - k + 2*r - 356382. Let v be 2*34861/(-1 - -2). Let d = k - v. Round d to the nearest ten thousand. -140000 Let f = -4613155 - -2306055. What is f rounded to the nearest 100000? -2300000 Let z = 1836 + -1835.5965. Round z to two dps. 0.4 Let p = -17012.00014752 - -17012. What is p rounded to six decimal places? -0.000148 Let o = 80015.14 - 79560.2187. Let i = -455 + o. Round i to three dps. -0.079 Let r = 197687 - 197686.9999917891. What is r rounded to 7 decimal places? 0.0000082 Let l = -5229104 + 2714704. What is l rounded to the nearest one hundred thousand? -2500000 Let f = 47.21 - 4.24. Round f to the nearest ten. 40 Let k = -582 + 580. Let y be (-62)/k*(-4 - 1206). What is y rounded to the nearest 1000? -38000 Let t = 11 + -25. Let z = 14.34854 - 0.29154. Let x = t + z. What is x rounded to three decimal places? 0.057 Let x(b) = -393*b**3 + 10*b**2 - 13*b + 15. Let s be x(-8). Suppose s = 22*c + 24435. Round c to the nearest one thousand. 8000 Let f = 8.0029 + 0.2951. Round f to the nearest integer. 8 Suppose 17*x + 74741184 = 45*x. Let l(j) = -731555*j - 2. Let i be l(-6). Let g = x - i. What is g rounded to the nearest one hundred thousand? -1700000 Let j = 1676 - 827. Let w = j + -508. Let y = w + -340.9999698. What is y rounded to 6 dps? 0.00003 Let v = -4.208 + -0.292. Let i = v + 3.74. Round i to 1 dp. -0.8 Suppose -3*o = 3*r - 24, 0 = -5*o + 3*o - 5*r + 25. Suppose -4*u - 290067 = 3*q - 103682, 46575 = -u - o*q. What is u rounded to the nearest 10000? -50000 Let z = 0.019992 - -20538.980008. Let s = z + -20517.9952. Let f = s + -21. Round f to three decimal places. 0.005 Let r = 1.10801631 - 1.108. What is r rounded to six deci
{ "pile_set_name": "DM Mathematics" }
he common denominator of -17/4 and -65/7552. 7552 Calculate the common denominator of -83/840 and -61/383264. 5748960 Calculate the lowest common multiple of 17150 and 21756. 3807300 What is the smallest common multiple of 19625 and 541650? 2708250 Calculate the common denominator of 113/6636 and 71/22120. 66360 What is the least common multiple of 32456 and 56? 227192 Find the common denominator of -39/4 and 58/154931. 619724 Find the common denominator of 13/7104 and -115/14208. 14208 What is the least common multiple of 994476 and 462? 10939236 Calculate the common denominator of -89/220242 and -13/20. 2202420 Calculate the least common multiple of 66 and 1641. 36102 Calculate the common denominator of -6/2028473 and 61/6. 12170838 What is the least common multiple of 16776 and 11184? 33552 Calculate the least common multiple of 744 and 10. 3720 Calculate the smallest common multiple of 66 and 3367969. 20207814 What is the smallest common multiple of 32116 and 20? 160580 Find the common denominator of 117/20 and 41/606332. 3031660 Calculate the least common multiple of 153768 and 576630. 2306520 Find the common denominator of 33/5576 and 133/738. 50184 What is the common denominator of -88/735861 and 53/1051230? 7358610 Find the common denominator of -44/405 and 1/6. 810 What is the common denominator of -58/16905 and 58/33? 185955 What is the common denominator of -63/52810 and 99/52810? 52810 What is the lowest common multiple of 67416 and 6360? 337080 What is the common denominator of -59/13071 and 21/34856? 104568 Calculate the smallest common multiple of 122794 and 179. 122794 Calculate the lowest common multiple of 16 and 254096. 254096 What is the lowest common multiple of 6864 and 35451? 6239376 Calculate the common denominator of -31/83276 and 79/32. 666208 Calculate the smallest common multiple of 12 and 181340. 544020 Calculate the common denominator of -95/57726 and 119/12828. 115452 What is the common denominator of -81/2996 and 161/204798? 2867172 Find the common denominator of 35/513 and 103/1488. 254448 What is the lowest common multiple of 58 and 2464304? 2464304 Find the common denominator of 155/306 and 77/152388. 152388 What is the least common multiple of 7519 and 112785? 112785 What is the common denominator of 149/18144 and 97/9072? 18144 Find the common denominator of 18/8893 and 29/542473. 542473 What is the common denominator of 11/119334 and 61/18? 358002 What is the least common multiple of 11753 and 18469? 129283 What is the smallest common multiple of 8 and 5907980? 11815960 Find the common denominator of -13/16104 and 119/24. 16104 Find the common denominator of 29/338 and -64/116935. 3040310 What is the smallest common multiple of 182 and 13286? 13286 Find the common denominator of -41/2604 and 115/3304. 307272 Find the common denominator of 58/15 and -47/1245. 1245 What is the smallest common multiple of 12330 and 99? 135630 Find the common denominator of 85/26936 and 49/1924. 26936 What is the least common multiple of 66560 and 704? 732160 Calculate the least common multiple of 6692 and 8. 13384 Find the common denominator of -29/12349 and -68/2097. 111141 Calculate the least common multiple of 1463 and 7. 1463 Calculate the lowest common multiple of 246612 and 105. 8631420 What is the common denominator of -1/28 and -63/11686? 163604 What is the common denominator of -73/615 and 47/80688? 403440 What is the common denominator of 11/1152 and 115/201744? 1613952 What is the common denominator of 53/28168 and -13/3808? 1915424 Find the common denominator of -23/741 and 7/1216. 47424 What is the least common multiple of 119 and 4284? 4284 What is the lowest common multiple of 26 and 34840? 34840 What is the smallest common multiple of 420 and 1722? 17220 Find the common denominator of -127/354 and 68/47967. 95934 What is the smallest common multiple of 2652 and 884? 2652 Find the common denominator of 29/39624 and -77/190. 3764280 Calculate the lowest common multiple of 51102 and 46593. 1584162 What is the lowest common multiple of 93948 and 522? 8173476 Calculate the smallest common multiple of 17385 and 57. 17385 What is the common denominator of -82/38727 and -42/21515? 193635 What is the lowest common multiple of 46020 and 624? 184080 Calculate the common denominator of 67/9588 and 9/68. 9588 Calculate the lowest common multiple of 1187767 and 35. 5938835 Find the common denominator of 127/1120 and 133/680. 19040 Calculate the lowest common multiple of 607585 and 1104700. 12151700 What is the common denominator of -69/80 and 89/146348? 2926960 Calculate the common denominator of 59/410280 and 197/820560. 820560 What is the common denominator of 71/17622 and -75/946? 757746 What is the common denominator of -28/93 and -95/358? 33294 Calculate the smallest common multiple of 117 and 29679. 89037 Calculate the smallest common multiple of 3012 and 17068. 51204 What is the least common multiple of 714 and 19992? 19992 What is the smallest common multiple of 144843 and 9? 434529 Find the common denominator of -13/60796 and -87/76. 1155124 What is the least common multiple of 64 and 50220? 803520 Calculate the common denominator of -62/6015 and -49/3208. 48120 Find the common denominator of -25/6326 and -21/1906. 6028678 Calculate the smallest common multiple of 17118 and 534. 1523502 Find the common denominator of 83/8 and 44/40415. 323320 Find the common denominator of -41/21 and 25/1071. 1071 What is the smallest common multiple of 64 and 892? 14272 Calculate the common denominator of -123/40 and 35/376288. 1881440 Calculate the smallest common multiple of 3756 and 121131. 484524 Calculate the least common multiple of 20 and 243820. 243820 Calculate the smallest common multiple of 3952 and 18924. 984048 What is the common denominator of -67/1080 and -79/9972? 299160 Calculate the common denominator of -17/9685 and -145/78. 58110 What is the common denominator of -46/60775 and 37/221? 60775 What is the smallest common multiple of 3960 and 13860? 27720 Calculate the common denominator of 34/63 and 85/71589. 214767 What is the least common multiple of 843648 and 8788? 843648 Calculate the common denominator of -37/8388 and -79/13980. 41940 Calculate the lowest common multiple of 3456 and 44. 38016 What is the common denominator of -93/50120 and 89/15036? 150360 Calculate the smallest common multiple of 12 and 103876. 311628 What is the common denominator of 93/4400 and 127/226000? 2486000 What is the common denominator of 149/30 and -83/18342? 91710 Calculate the least common multiple of 43052 and 1504. 344416 Find the common denominator of 77/3726 and -49/1494. 309258 What is the lowest common multiple of 11880 and 3960? 11880 What is the common denominator of -59/538336 and -91/40? 2691680 What is the smallest common multiple of 4968 and 943? 203688 Calculate the common denominator of 23/18774 and -79/181482. 544446 Find the common denominator of 49/12990 and -85/1732. 25980 Calculate the common denominator of 73/610 and 115/83692. 418460 Find the common denominator of -11/534346 and -31/424. 2137384 Calculate the smallest common multiple of 19904 and 12440. 99520 Calculate the common denominator of 25/161 and -2/468013. 10764299 Calculate the smallest common multiple of 4330 and 6360. 2753880 Calculate the least common multiple of 3 and 287076. 287076 Calculate the least common multiple of 19640 and 144. 353520 Find the common denominator of -81/1778 and 95/1162. 147574 Calculate the common denominator of -19/959 and -49/41785. 292495 What is the least common multiple of 1256 and 4082? 16328 What is the common denominator of 53/124583 and 43/26228? 498332 What is the common denominator of 39/116812 and -119/1140? 1752180 What is the lowest common multiple of 837733 and 515528? 6701864 What is the common denominator of -59/3196 and 5/748? 35156 Calculate the smallest common multiple of 252 and 19644. 412524 Calculate the lowest common multiple of 2906642 and 2. 2906642 What is the least common multiple of 9646 and 14? 9646 Calculate the smallest common multiple of 820 and 1419830. 2839660 What is the smallest common multiple of 1471 and 899? 1322429 Calculate the lowest common multiple of 43616 and 274. 59
{ "pile_set_name": "DM Mathematics" }
d 1 q when two letters picked without replacement from qjtns. 1/10 Two letters picked without replacement from {a: 5, z: 8}. What is prob of picking 2 a? 5/39 Calculate prob of picking 1 f and 3 k when four letters picked without replacement from jjkjkjjjfjjkjjfjj. 1/1190 Calculate prob of picking 1 u, 1 c, and 1 e when three letters picked without replacement from {e: 1, u: 1, c: 1, p: 1, s: 1}. 1/10 Three letters picked without replacement from {q: 2, e: 7, x: 2, l: 2, g: 7}. Give prob of picking 1 x and 2 l. 1/570 What is prob of picking 1 m, 1 y, and 1 v when three letters picked without replacement from {m: 1, y: 4, v: 2}? 8/35 What is prob of picking 1 h and 1 t when two letters picked without replacement from {t: 1, j: 1, h: 8, d: 8}? 8/153 Calculate prob of picking 1 t and 2 x when three letters picked without replacement from xxtavxtottx. 8/55 Four letters picked without replacement from eeddgggjdejejvdv. What is prob of picking 1 d, 2 g, and 1 v? 6/455 Calculate prob of picking 2 i and 1 d when three letters picked without replacement from {i: 2, d: 1, g: 2, m: 1, j: 1, s: 1}. 1/56 Calculate prob of picking 3 f and 1 l when four letters picked without replacement from {f: 7, l: 4}. 14/33 Four letters picked without replacement from ooooaoagoaooovogvaoo. Give prob of picking 1 v, 1 a, and 2 g. 8/4845 Calculate prob of picking 1 f and 1 h when two letters picked without replacement from vhxhqqhfhf. 8/45 Three letters picked without replacement from {h: 7, u: 2}. What is prob of picking 1 u and 2 h? 1/2 Two letters picked without replacement from lllllxxxlll. Give prob of picking 2 l. 28/55 Two letters picked without replacement from {g: 5, k: 4, u: 1, m: 6}. What is prob of picking 2 m? 1/8 What is prob of picking 2 j when two letters picked without replacement from jlujuljll? 1/12 Four letters picked without replacement from eknkknkkenmmm. Give prob of picking 1 m, 2 e, and 1 k. 3/143 Four letters picked without replacement from ijjjijjjjj. What is prob of picking 4 i? 0 What is prob of picking 2 g when two letters picked without replacement from {g: 16, e: 1, o: 1}? 40/51 What is prob of picking 3 f and 1 z when four letters picked without replacement from ffzzfffzffzfffzzzff? 385/969 Calculate prob of picking 2 j when two letters picked without replacement from zdjjjjzajdzztztjjpzj. 14/95 Calculate prob of picking 1 z, 1 x, and 1 f when three letters picked without replacement from {f: 1, a: 1, x: 2, z: 1}. 1/5 Four letters picked without replacement from xpoopoxpoppppnoppo. Give prob of picking 1 x, 2 p, and 1 o. 12/85 Three letters picked without replacement from zzozvvrvorrrzzorfzhr. Give prob of picking 1 f, 1 z, and 1 v. 3/190 Calculate prob of picking 2 e when two letters picked without replacement from {n: 7, e: 4}. 6/55 Two letters picked without replacement from {h: 1, v: 5, j: 7, u: 2, c: 1}. What is prob of picking 2 j? 7/40 Calculate prob of picking 1 b and 1 e when two letters picked without replacement from {e: 1, q: 4, a: 2, r: 2, b: 1}. 1/45 What is prob of picking 1 g, 1 h, and 1 f when three letters picked without replacement from {h: 1, b: 1, f: 1, g: 2, e: 4}? 1/42 Calculate prob of picking 3 t when three letters picked without replacement from tiissjitttssstiti. 1/34 Four letters picked without replacement from {x: 1, a: 11, e: 1}. What is prob of picking 1 e and 3 a? 3/13 Three letters picked without replacement from {d: 1, l: 10, g: 1, e: 3}. What is prob of picking 3 e? 1/455 Calculate prob of picking 1 u and 1 k when two letters picked without replacement from mkkmkkkkmkkmkkxuk. 11/136 Two letters picked without replacement from {p: 5, a: 2}. What is prob of picking 2 p? 10/21 Three letters picked without replacement from ggkkkkkkkkgkggkk. Give prob of picking 1 k and 2 g. 11/56 Two letters picked without replacement from {b: 1, d: 2, p: 1}. Give prob of picking 1 b and 1 d. 1/3 Calculate prob of picking 1 b and 1 q when two letters picked without replacement from {q: 1, b: 1, e: 1, w: 1, t: 1}. 1/10 Two letters picked without replacement from dttxz. Give prob of picking 1 t and 1 z. 1/5 Three letters picked without replacement from iimmiiiiiiiimiiiiim. What is prob of picking 3 m? 4/969 Four letters picked without replacement from {a: 2, s: 1, k: 1, m: 1, e: 4}. Give prob of picking 4 e. 1/126 Two letters picked without replacement from {k: 2, d: 1, p: 2}. What is prob of picking 1 p and 1 d? 1/5 What is prob of picking 2 a and 1 u when three letters picked without replacement from ssasuia? 1/35 Calculate prob of picking 2 n, 1 p, and 1 t when four letters picked without replacement from bptbpibgbnnbg. 2/715 Three letters picked without replacement from {c: 2, r: 2, e: 1}. What is prob of picking 2 r and 1 e? 1/10 Calculate prob of picking 2 a when two letters picked without replacement from {r: 3, g: 3, a: 3, o: 11}. 3/190 Two letters picked without replacement from {r: 5, y: 8}. Give prob of picking 2 r. 5/39 Two letters picked without replacement from minhnnhihminhoim. Give prob of picking 2 m. 1/40 Calculate prob of picking 1 g and 1 m when two letters picked without replacement from {m: 12, g: 3}. 12/35 Calculate prob of picking 3 x when three letters picked without replacement from oxoxooxoox. 1/30 Two letters picked without replacement from {q: 6, h: 3, m: 8}. What is prob of picking 2 q? 15/136 What is prob of picking 1 z and 1 e when two letters picked without replacement from gzzffte? 2/21 Three letters picked without replacement from {l: 3, k: 8}. What is prob of picking 3 l? 1/165 What is prob of picking 1 n and 1 g when two letters picked without replacement from {g: 2, n: 10}? 10/33 Two letters picked without replacement from yaaapaaayeaea. Give prob of picking 2 e. 1/78 Three letters picked without replacement from {w: 15, m: 3}. What is prob of picking 3 w? 455/816 What is prob of picking 1 g and 2 c when three letters picked without replacement from {g: 11, c: 5}? 11/56 Two letters picked without replacement from {b: 1, a: 4, k: 1, y: 5, z: 1}. What is prob of picking 1 y and 1 k? 5/66 Calculate prob of picking 1 g and 1 h when two letters picked without replacement from {g: 2, a: 1, k: 2, h: 1, y: 1}. 2/21 Four letters picked without replacement from ukkkkukk. Give prob of picking 4 k. 3/14 Three letters picked without replacement from {c: 1, u: 3, k: 3}. Give prob of picking 2 u and 1 c. 3/35 Calculate prob of picking 1 t and 1 i when two letters picked without replacement from {o: 3, i: 3, t: 2}. 3/14 Three letters picked without replacement from {x: 1, u: 2, r: 3, g: 4, b: 2, c: 2}. What is prob of picking 1 x and 2 u? 1/364 Calculate prob of picking 3 w when three letters picked without replacement from zwzzzzzz. 0 Three letters picked without replacement from {m: 2, y: 10, g: 4, d: 3}. What is prob of picking 1 m, 1 y, and 1 g? 80/969 Calculate prob of picking 2 k when two letters picked without replacement from kkk. 1 Three letters picked without replacement from {t: 9, e: 3}. What is prob of picking 1 e and 2 t? 27/55 Three letters picked without replacement from pfjefepfoeojpppppfp. Give prob of picking 2 p and 1 j. 56/969 What is prob of picking 1 l and 1 h when two letters picked without replacement from {h: 1, d: 4, l: 2}? 2/21 What is prob of picking 2 y and 2 z when four letters picked without replacement from {z: 3, l: 2, y: 7}? 7/55 Two letters picked without replacement from {w: 1, g: 2, a: 1, s: 4}. Give prob of picking 1 g and 1 w. 1/14 Four letters picked without replacement from {c: 4, a: 7}. Give prob of picking 3 a and 1 c. 14/33 What is prob of picking 1 s, 1 e, and 1 r when three letters picked without replacement from {r: 2, s: 4, y: 2, e: 1, j: 8, w: 2}? 8/969 Four letters picked without replacement from anksannsrqa. Give prob of picking 1 a, 2 s, and 1 n. 3/110 What is prob of picking 2 c when two letters picked without replacement from ccdccdc? 10/21 Two letters picked without replacement from qim. What is prob of picking 2 i? 0 Three letters picked without replacement from {b: 19, c: 1}. What is prob of picking 2 b and 1 c? 3/20 Two letters picked without replacement from ucuiuicuuuhbububcu. Give prob of picking 2 i. 1/153 What is prob of picking 1 d and 1
{ "pile_set_name": "DM Mathematics" }
*h - 7 = -z. Suppose m - 4*m + 1 = -v, h*m + 1 = 3*v. Solve 0 = v*j - 0 - 10 for j. 5 Let f(z) = -23*z + 1344. Let k be f(58). Solve 6*h - h = k for h. 2 Let g(x) = 1. Let y(i) = i - 1. Let a(j) = 3*g(j) + 2*y(j). Let s be a(1). Suppose 79*f - 67*f - 84 = 0. Solve 5*w + f = -s for w. -2 Let q be (3/2)/(12/40). Suppose -2*l - 47 = 5*n, n - 89 = q*l + 4*n. Let x = 19 + l. Solve -x*d - 1 = -10 for d. 3 Let m = 142 + -98. Let v = 47 - m. Solve -8 = -v*z + 4 for z. 4 Let n(y) = -4*y**2 - 2 + 2 + 3*y**2 + 1. Let f be n(0). Solve -2*d - 9 - f = 0 for d. -5 Suppose -d - 2 = -5. Suppose -4*v + d*h - 27 = 0, 0 = 2*v + v + 4*h - 11. Let z be v - 0 - (-7 - 1). Solve z = -a + 2 for a. -3 Let a(i) = -2*i - 9. Let l be a(-6). Suppose 8*p - 3*p = -3*c + 45, -5*c = -2*p - 13. Suppose -16*g - 18 = -22*g. Solve -g*m - l = p for m. -3 Suppose 0 = -30*q + 8*q + 264. Suppose -x = a - 3, 4*a - 15 = 4*x + 37. Solve a*w + q = 4*w for w. -3 Let k be -1 + (-4)/(16/(-12)). Suppose 6 = 3*o + 18, 13 = 3*d - o. Suppose 4*y = d*y. Solve y = g - 1 + k for g. -1 Let d be 6/(-135) + 1084/90. Solve -57 + 9 = d*j for j. -4 Let a(i) = -3*i - 31. Suppose 2*y + 2*w = -28, -y - w = 4*y + 70. Let d be a(y). Solve d = -5*c - 9 for c. -4 Let s be ((-44)/11)/(0 - (-3)/(-6)). Suppose 4*a - 4*n + s = 0, 0 = -a + 3*n - 10. Solve a*k + 3 + 1 = 0 for k. -2 Let f = -154 + 170. Solve 0 = f*s - 12*s + 20 for s. -5 Suppose -7*p = -25 - 10. Suppose 0 = p*j + 4*n - 116, -4*n - 1 = -j + 3. Solve -j = 3*s + s for s. -5 Let l(o) be the first derivative of -3*o**4/4 - o**3 - o**2/2 + o + 2. Let w be l(-2). Suppose -3*k + w = 6. Solve -3*t + 0 = -k for t. 1 Suppose -21 = -5*n - 1. Let s be n/16 - 25/4. Let y = s - -9. Solve y*z = z - 4 for z. -2 Let h = 134 - 130. Suppose 11 = h*r + 3. Solve r = t + 4 for t. -2 Let z be (-32)/6*(-6)/4. Suppose -3*c + z = c. Suppose -c*n + k + 3*k = -8, 19 = 3*n + k. Solve 0*t - 2*t = n for t. -3 Suppose 0*f = 4*f - 16. Let b(m) be the second derivative of m**4/12 - m**3/3 + 11*m**2/2 - 47*m. Let x be b(0). Solve -f*i - x - 9 = 0 for i. -5 Let u = 9 - -11. Suppose -h - 49 = -5*d, -4*h - 6 = d - u. Suppose -4*q + 6 + d = 0. Solve -a + q*a = 3 for a. 1 Let w be 18/(-10)*(-20)/12. Solve -w*i = -i + 10 for i. -5 Let n be (-8)/(-6)*(45/(-10))/(-3). Solve n*p = 3*p + 2 for p. -2 Suppose 4*t = 2*x - 44, 0 = -13*x + 14*x + 4*t - 4. Solve -9*q + 5*q = -x for q. 4 Let y(f) = -f**2 - 6*f. Let l be 12 + -19 - 3/2*-2. Let o be y(l). Solve -2*z = 2*z + o for z. -2 Suppose -3*d - 2*h = -36, 5*h = -4*d + 39 + 16. Solve 0*j - 5*j - d = 0 for j. -2 Let g = -15 - -15. Let k be 1*(-3 + g + 4). Solve -3 = -v + k for v. 4 Suppose 5*r - 2*x = 35, -r + 4*x - 6 = x. Suppose 4*d - 4*o + 6*o + 26 = 0, 0 = 3*d + 4*o + 32. Let t = d - -4. Solve t*b - r = -3*b for b. 3 Suppose -9*p = -12*p. Suppose 2*x - x = l - 9, p = -l + 3*x + 17. Solve -j = -l*j for j. 0 Let d be 1/4 - 381*(-7)/84. Let i = d + -30. Solve -a - 7 = -i for a. -5 Let h(z) = -z**3 + 5*z**2 - 1. Let o be h(5). Let f be -1 - o*(7 + 4). Let y be 0*((-35)/f)/(-7). Solve y*a = -a for a. 0 Suppose -6*i - 583 = -601. Solve 0 = -4*q + i*q - q for q. 0 Suppose 15 = 2*y - 15. Suppose 4*m = -y + 23. Solve 0*u - m*u = 6 for u. -3 Let d(f) = f**3 + 4*f**2 - 4*f + 5. Let s be (-12)/8*(-10)/(-3). Let w be d(s). Suppose 3*j = -w*j - 5*q + 16, 5*j - 30 = -5*q. Solve 2*b = j*b for b. 0 Suppose -5*t - x + 197 = -3*t, 2*x = -3*t + 295. Let g = t - 94. Solve g*i - 11 = 4 for i. 3 Let i = 611 + -607. Solve 0 = 4*g - 8 - i for g. 3 Let d(k) = k**2 - 3*k + 2. Let h be (-6)/(-1)*(36/(-8) + 5). Let a be d(h). Solve -2*m + 2 = -a for m. 2 Suppose -u - 50 = -5*g - 0*u, 5*g + 3*u - 50 = 0. Suppose -47*n = -45*n - g. Solve 4*f = 7 + n for f. 3 Let k(n) = -n**2 - 3*n + 6. Let r(v) = 2*v**2 + 5*v - 13. Let w(u) = -7*k(u) - 3*r(u). Let l be w(-9). Suppose -4*b = -b - l. Solve 5*d + b = -12 for d. -4 Let u = -197 - -203. Solve u*m = 3*m for m. 0 Let l be ((-156)/(-104))/(9/102). Solve 19*o = -74 + l for o. -3 Let i be (14 + -12)*(-14)/4. Let l(w) = -3*w - 13. Let q be l(i). Suppose 0 = -3*s + q*s. Solve s*n - 4 = n for n. -4 Suppose -v = 4*j - 2*v, 0 = 4*j - 3*v - 8. Let y(z) = 2*z**2 - z - 2. Let k be y(j). Solve -2*m + 1 = -k for m. 1 Let i be (2 + 22)*(-4)/8. Let s be (i/16)/(3/(-8)). Solve -s*q - 9 = 1 for q. -5 Suppose 2*x = q + 11, 3*x - 55*q + 51*q - 19 = 0. Solve -5*n + 25 = x for n. 4 Suppose 6*v - 126 = 7*v. Let h = v + 130. Solve -h*a + 2 = -2 for a. 1 Let v = -144 + 147. Suppose -v*i + 2 = 4*r, 3*i - 2*r = 3*r + 11. Solve 4 = u + i for u. 2 Suppose -150 = -67*w + 57*w. Solve 13*s - 8 = w*s for s. -4 Let w = 24 + -19. Suppose -4*y - 4*h + 4 = 0, -w*h + 5 = y - 0*y. Suppose 0*q - 2*q + 6 = 0. Solve -v + y = q for v. -3 Suppose -5*o + 3*v = -v + 4, v - 1 = 4*o. Solve 3*j = 15 - o for j. 5 Let v(p) = 10*p + 11. Let j be v(-1). Solve 5*q + 21 = j for q. -4 Suppose -21*k = 22*k - 1462. Solve 26*o - k = 9*o for o. 2 Suppose -12*k = -300 - 24. Solve -5*a + k = 2 for a. 5 Let n be 5 - 2 - (-3 + -10). Solve 6*u - 14*u = -n for u. 2 Let y(k) be the third derivative of 0*k - 5*k**2 - 1/3*k**3 + 0 + 1/24*k**4. Let j be y(2). Solve w - 1 + 4 = j for w. -3 Let c = -12 + 13. Let t(w) = -4*w + 2. Let b be t(-6). Let q = 31 - b. Solve q*h + c = 6 for h. 1 Let s(q) = -7*q - 89. Let z be s(-15). Solve 5*x = -z - 4 for x. -4 Suppose 5*r + 14 + 6 = 0, b + 7 = -3*r. Suppose 0 = b*i - 2*g, 5*i + 2*g - g = 0. Let n be (-8)/(-1 + i) + 1. Solve p + n = 4*p for p. 3 Let i(z) = z**3 - 6*z**2 - z + 10. Let g be 1/(-3)*(-3 - 3). Suppose 0 = g*d - 6 - 6. Let f be i(d). Solve 0 = 2*o - f*o - 6 for o. -3 Let x(p) = -p**2 + 6*p. Let c be x(3). Suppose -6*m + 9 = -c. Solve 4 = m*f - f for f. 2 Let i be (-1 - -1)*(5 - (-22)/(-4)). Suppose -3*c = -i*c. Solve j + j - 2 = c for j. 1 Let r(t) = -2*t**2 - 2*t - 3. Suppose g - 6 = -h, -9 + 3 = -4*h + 2*g. Let o be r(h). Let s be (-114)/o - 4/18. Solve y = 3*y + s for y. -2 Let l be -1 - (-6 + 1/(-1)). Suppose -39*f + 40*f = -5*k + 42, -2*k + f + 21 = 0. Let b be ((-4)/l)/(k/(-81)). Solve g - b = -1 for g. 5 Let w(a) = -a + 6. Let r(y) = -y. Let b be r(0). Let z be w(b). Suppose 4*g = o + g + 6, 3*g - z = 2*o. Solve o*i = 2*i - 4 for i. 2 Let x be -2*(2 + (-58)/4). Suppose x = -4*u + 5. Let c = 8 + u. Solve c*j - 6 = j for j. 3 Let g(y) = y**3 - 10*y**2 - 25*y + 33. Let s be g(12). Solve b - s = -25 for b. -4 Let k be (-8)/(-7)*(252/8)/9. Suppose -k*h = -4*o + 4, o = 4*h - 6*h - 2. Solve 3*u - 6*u + 12 = o for u. 4 Let c(y) = 12*y**3 - 14*y**2 + 2*y - 8. Let m be c(2). Solve -5*d = -m + 26 for d. 2 Let x be -4 - -1 - (1 + 18*-1). Solve -2*c + 12 = x for c. -1 Suppose 3*x = -1 + 16. Suppose -k - 21 = 4*g, -5*g - 15 = x*k - 0*k. Let q(s) = s**2 + 5*s - 4. Let t be q(g). Solve -3*a - t*a = -20 for a. 4 Let z be 6 - (13/1 - 10). Suppose 0*c = 4*c - 16. Suppose -16 = -8*r + c*r. Solve r*h - z*h = -3 for h. -3 Let l(s) = 128*s - 201. Let u be l(2). Solve -u = -12*i + i for i. 5 Suppose 2*d + 4*n + 10 = 0, 0 = -3*d + 5*d - 3*n - 25. Suppose 5*f + 2*x - 10 = 0, -f + 2*x = f - 4. Suppose -7*i + f*i = 0. Solve -15 = -d*u - i*u for u. 3 Let f(v) = -v**3 - 2*v**2 + v + 4. Let g(m) = m**2 - 11*m + 10. Let y be g(10). Let b be f(y). Solve 3*i = 5*i + b for i. -2 Let v be (-4608)/63 + (-2)/(-14). Let w = 104 + v. Suppose 1 = -5*h + w. Solve -y + h = y for y. 3 Suppose -5*k - 12 = -d, -26 = 3*d + 5*k - 22. Let j be 1*-2 - (-2 - 12). Solve -2*h + j = d*h for h. 3 Let q(r) = 10*r + 5. Let p be q(3). Let o = 18 - p. Let u(t) = t + 19. Let v be u(o). Solve -2*y - v*y + 12 = 0 for y. 3 Suppose 8 = -0*g + g. Let b(q) = 7*q**2 - 12*q - 1. Let v(f) = -3*f**2 + 2*f. Let w(l) = -b(l) - 2*v(l). Let k be w(g). Solve k = 4*s - 3 for s. 1 Let c = -2 - -6. Let x be 3/((-3)/(-25)*5). Suppose m + 2 = 3*m + 5*y, 3*y = x*m - 5. Solve 0 = -u + c + m for u. 5 Suppose -6*c = -2*c + 4. Let k = c + 2. Let d = k - -17. Solve 3*a + d = 3 for a. -5 Suppose 3*t = 5*f, -7 = -2*t + 2*f - 3. Let d be ((-88)/12 + 4)/(4/(-84)). Suppose -d = -a - 6*a. Solve -3*b - t = a for b. -5 Let u(h) = 8 - 8 - 2*h + 0 - 9. Let m be u(-7). Suppose -2*k + 4 = -6, -5 = 2*f - m*k. Solve -7*z + 2*z = -f for z. 2 Suppose -344*v = -310*v - 2312. Solve -v*m = -79*m - 33 for m. -3 Let a = 5 + 2. Suppose 3*p - 4*k
{ "pile_set_name": "DM Mathematics" }
i: 2, w: 1, b: 5}. Give prob of picking 1 w, 1 b, and 2 r. 1/476 What is prob of picking 1 g, 2 i, and 1 h when four letters picked without replacement from {x: 7, i: 3, h: 1, g: 3}? 9/1001 What is prob of picking 1 j, 1 h, and 2 u when four letters picked without replacement from huuuuhjjujhujjujuj? 49/255 Calculate prob of picking 1 q and 1 k when two letters picked without replacement from {k: 5, q: 1, s: 1, v: 3}. 1/9 Calculate prob of picking 3 u when three letters picked without replacement from {p: 2, u: 5}. 2/7 What is prob of picking 1 w and 1 t when two letters picked without replacement from {t: 1, w: 10, q: 2, i: 2, d: 5}? 1/19 Calculate prob of picking 3 m and 1 y when four letters picked without replacement from ffmmynmwffffnf. 1/1001 What is prob of picking 1 p, 1 y, and 1 f when three letters picked without replacement from ypfyyyf? 8/35 Three letters picked without replacement from {d: 2, u: 1}. What is prob of picking 1 u and 2 d? 1 Two letters picked without replacement from suscluslbcssuuh. Give prob of picking 1 l and 1 s. 2/21 What is prob of picking 1 x, 2 o, and 1 y when four letters picked without replacement from {y: 2, t: 7, o: 2, x: 8}? 4/969 Three letters picked without replacement from wcwcwc. Give prob of picking 3 w. 1/20 Two letters picked without replacement from yppyeepsp. What is prob of picking 1 p and 1 e? 2/9 What is prob of picking 1 p and 1 i when two letters picked without replacement from illipiliiplpk? 5/26 What is prob of picking 2 g when two letters picked without replacement from xrggxrrddrxr? 1/66 Four letters picked without replacement from {b: 10}. What is prob of picking 4 b? 1 Calculate prob of picking 3 u when three letters picked without replacement from mmmbuummmbmbmmmmmmu. 1/969 Three letters picked without replacement from shhhhshhhhhhh. Give prob of picking 1 h and 2 s. 1/26 Calculate prob of picking 2 v and 2 a when four letters picked without replacement from {a: 13, v: 5}. 13/51 Three letters picked without replacement from rzaaranaaanrabnaaaa. What is prob of picking 2 a and 1 n? 55/323 Calculate prob of picking 1 t and 1 d when two letters picked without replacement from {s: 1, d: 1, v: 3, q: 1, t: 1}. 1/21 What is prob of picking 2 c and 2 u when four letters picked without replacement from {c: 7, u: 9}? 27/65 Two letters picked without replacement from {x: 1, y: 1, m: 1}. What is prob of picking 1 m and 1 x? 1/3 Three letters picked without replacement from dmdmmddmmm. Give prob of picking 2 m and 1 d. 1/2 Calculate prob of picking 1 l and 2 k when three letters picked without replacement from kgkjjlljgmkk. 3/55 What is prob of picking 2 j and 1 l when three letters picked without replacement from {l: 1, e: 2, j: 3, i: 1}? 3/35 Three letters picked without replacement from sbabbbasbabaabbbbaba. Give prob of picking 2 b and 1 a. 77/228 Calculate prob of picking 1 f and 2 b when three letters picked without replacement from {s: 5, b: 1, f: 4}. 0 Calculate prob of picking 1 p and 1 j when two letters picked without replacement from jlapf. 1/10 Calculate prob of picking 2 z and 1 x when three letters picked without replacement from xxxzxxxzzx. 7/40 Three letters picked without replacement from {c: 9, o: 5}. What is prob of picking 1 c and 2 o? 45/182 Three letters picked without replacement from yuxuvy. Give prob of picking 1 x and 2 y. 1/20 Two letters picked without replacement from dqcq. Give prob of picking 1 q and 1 d. 1/3 What is prob of picking 4 s when four letters picked without replacement from ossossooosoooo? 5/1001 Three letters picked without replacement from kxkkkxsskkcxx. What is prob of picking 3 x? 2/143 What is prob of picking 1 j and 1 r when two letters picked without replacement from jre? 1/3 Two letters picked without replacement from mhmkk. Give prob of picking 1 m and 1 k. 2/5 Two letters picked without replacement from xvxmymjxxmxxm. Give prob of picking 1 v and 1 m. 2/39 Three letters picked without replacement from {d: 2, c: 3, m: 12}. What is prob of picking 2 c and 1 d? 3/340 Calculate prob of picking 1 m and 1 f when two letters picked without replacement from {a: 2, f: 1, w: 1, n: 1, m: 1, j: 1}. 1/21 Two letters picked without replacement from tytmh. Give prob of picking 1 m and 1 h. 1/10 What is prob of picking 1 c and 1 t when two letters picked without replacement from wlltcbi? 1/21 Four letters picked without replacement from {y: 6, z: 7}. Give prob of picking 4 z. 7/143 Four letters picked without replacement from nnqqqzzqqazaqznr. What is prob of picking 1 a and 3 q? 2/91 Calculate prob of picking 1 g, 1 o, and 1 u when three letters picked without replacement from moqgouooeeeoqqogeooq. 4/285 Two letters picked without replacement from {l: 1, r: 6, g: 2, i: 3, z: 4, x: 2}. Give prob of picking 1 l and 1 r. 2/51 Four letters picked without replacement from {r: 1, g: 1, v: 4, s: 5}. Give prob of picking 3 v and 1 s. 2/33 Two letters picked without replacement from {n: 3, z: 4, u: 4}. What is prob of picking 1 u and 1 z? 16/55 What is prob of picking 1 y and 1 g when two letters picked without replacement from {s: 1, q: 1, g: 1, a: 1, y: 1}? 1/10 Calculate prob of picking 1 u and 3 y when four letters picked without replacement from uyqhypyuquhqqppq. 3/1820 Four letters picked without replacement from {p: 6, r: 1, w: 1, d: 2, v: 2, a: 5}. What is prob of picking 1 w, 2 a, and 1 d? 1/119 Four letters picked without replacement from zueuuezeuzuzzuzeuz. Give prob of picking 1 u and 3 e. 7/765 What is prob of picking 1 g and 3 s when four letters picked without replacement from {s: 6, n: 5, g: 4, o: 4}? 20/969 What is prob of picking 2 z and 1 t when three letters picked without replacement from {z: 7, t: 5}? 21/44 What is prob of picking 1 t and 1 h when two letters picked without replacement from hqqqttwqeet? 3/55 Four letters picked without replacement from favvaqvvffdvfvf. What is prob of picking 1 v, 2 a, and 1 f? 2/91 Calculate prob of picking 3 g and 1 a when four letters picked without replacement from aagagaagaa. 1/30 Four letters picked without replacement from {w: 3, o: 5, u: 5}. What is prob of picking 1 u, 2 o, and 1 w? 30/143 Two letters picked without replacement from {e: 1, y: 1, z: 1, s: 2}. Give prob of picking 1 y and 1 e. 1/10 Three letters picked without replacement from ooooeoroooooo. Give prob of picking 1 r and 2 o. 5/26 What is prob of picking 3 p when three letters picked without replacement from {p: 9, n: 2}? 28/55 Four letters picked without replacement from {y: 11, f: 1, n: 1}. Give prob of picking 4 y. 6/13 Four letters picked without replacement from {k: 9, i: 7, d: 1, o: 2, f: 1}. Give prob of picking 1 f, 2 i, and 1 d. 7/1615 What is prob of picking 1 o, 2 z, and 1 e when four letters picked without replacement from {o: 12, e: 1, z: 7}? 84/1615 Three letters picked without replacement from hdhdh. Give prob of picking 3 h. 1/10 What is prob of picking 1 f, 2 s, and 1 c when four letters picked without replacement from {c: 1, s: 3, f: 2, x: 1}? 6/35 Two letters picked without replacement from sffsfffffff. Give prob of picking 2 f. 36/55 Two letters picked without replacement from {a: 3, g: 1, t: 8, i: 1, s: 3, r: 2}. Give prob of picking 1 r and 1 g. 2/153 Two letters picked without replacement from {c: 10, m: 2, l: 3}. What is prob of picking 1 m and 1 c? 4/21 Calculate prob of picking 1 x, 1 s, and 2 j when four letters picked without replacement from psxpjpjxcsppxsxzxxxx. 8/1615 Four letters picked without replacement from zzzzmzzmzzmzzzzz. Give prob of picking 3 m and 1 z. 1/140 What is prob of picking 1 d, 1 e, and 1 o when three letters picked without replacement from {c: 3, o: 2, q: 6, e: 2, z: 2, d: 3}? 1/68 What is prob of picking 1 r and 1 o when two letters picked without replacement from {c: 5, o: 1, d: 3, l: 2, r: 1, n: 1}? 1/78 Three letters picked without replacement from trxft. Give prob of picking 1 f, 1 x, and 1 t. 1/5 Calculate prob of picking 2 y when two letters picked without replacement from {i: 8, y: 3}. 3/55 Four letters picked without replacement from ummmulluluuuulmu. What is prob of picking 3 m and 1 l? 4/455 Four letters picked without replacement from {x: 5, d: 5}. What is prob of pickin
{ "pile_set_name": "DM Mathematics" }
. Round p to zero decimal places. 12 Let t = 0.661511104 + -0.6614. Round t to six decimal places. 0.000111 Suppose 0 = -5*c + 3*s + 19, 3*s + 7 = c - 2*c. Suppose -8*r - 18 = -c. Round r to the nearest ten. 0 Let x = 191240578.96029 - 191239368. Let d = -1210.29 + x. Let h = 0.67 - d. Round h to four decimal places. -0.0003 Let s = -77 - -77.325. Let j = 2 + -1.975. Let t = s - j. Round t to one dp. 0.3 Let y = 84 + -85.04. Let u = 16.053 - 17.04. Let f = y - u. Round f to two decimal places. -0.05 Let l = 1090105212 + -1090105884.99997895. Let k = 673 + l. What is k rounded to six decimal places? 0.000021 Let b = -1.291238 - -1.2651. Let o = -0.026 - b. What is o rounded to five dps? 0.00014 Let w = 14 + -77. Let h = w + 116. Let n = 53.00000058 - h. What is n rounded to seven dps? 0.0000006 Let g = 1054.5 + -1054.45507. Round g to two decimal places. 0.04 Let c = -0.192 - -0.12. Let d = 0.022 + c. Let f = 0.050152 + d. What is f rounded to 5 dps? 0.00015 Let n = 1.022 + -0.052. Let t = n + -28.97. Let h = t - -27.99996. Round h to 4 decimal places. 0 Let x = 33899605 - 33900199.00286. Let r = x + 594. Round r to three decimal places. -0.003 Let z = 0.479 + 19.221. Let v = -19.328 + z. Round v to 2 decimal places. 0.37 Let u = -2794.7 - -2794.7066398. What is u rounded to 5 dps? 0.00664 Let p = -638.798 + -12.502. What is p rounded to the nearest one hundred? -700 Let t = -870.4 - -870.39990784. Round t to 5 dps. -0.00009 Let y = 124 - 118.7. Let b = y + -84.3. Let v = b + 79.088. What is v rounded to two decimal places? 0.09 Let d(x) be the second derivative of 84073*x**3/3 - 11*x**2 + 2*x + 65. Let t be d(7). Round t to the nearest 100000. 1200000 Let x = -4.21 + 202.21. Let l = -197.9838 + x. Let w = 31.2838 + l. What is w rounded to the nearest integer? 31 Let c = 589 - 323. Let g = c - 265.851. Let j = 0.079 - g. Round j to 1 decimal place. -0.1 Let d = 7692055 + -5453255. What is d rounded to the nearest 100000? 2200000 Let h = 57400078708797 - 57400076988113.92000012. Let g = -1720687.88 + h. Let z = 4.8 + g. Round z to seven decimal places. -0.0000001 Let u = 225.4017 + -11.2857. Let b = u + -229. Let d = b + 15.3. Round d to 2 dps. 0.42 Let r = 0.0382 - 0.1392. Let c = r + 0.1009427. Round c to five dps. -0.00006 Let i = 358.42 + -1008.61. Round i to the nearest 10. -650 Let m(w) = -868*w + 6085. Let c be m(7). Suppose 2 = 3*o + 5, 4872 = 5*s - 2*o. Suppose 5294 - s = -c*z. Round z to the nearest 100. -500 Let b = -4147 + 4147.0000001193. What is b rounded to seven decimal places? 0.0000001 Let f = 37179.15 + -35981.94984. Let v = f - 1194. Let m = -3.2 + v. Round m to four decimal places. 0.0002 Suppose -7*k + 10056 + 13030 = 0. Suppose -2*x + k = 4*m, -2*m + 944 - 2605 = -x. Let t = x + -3345. What is t rounded to the nearest one hundred? -1700 Let h = 6991.73 - 6949. Let m = -42 + h. Let f = m + -0.7065. What is f rounded to 3 decimal places? 0.024 Let u = -33.9 + -4.3. Let f = 0.1022 - -29.8378. Let b = f + u. Round b to the nearest integer. -8 Suppose -771*z + 774*z + y = 22047001, -7349005 = -z - 5*y. Round z to the nearest one hundred thousand. 7300000 Let m = 40 + -40.095. Let p = -0.028 - m. Let h = p - 0.06431. What is h rounded to 4 decimal places? 0.0027 Let n = -0.22100859 + 0.290207081. Let q = n - 0.0692. Round q to 6 dps. -0.000002 Let o = 15715.67482 - 15716. Let c = o + 0.33. What is c rounded to three dps? 0.005 Let f = -18369571959 + 18369571872.99999941. Let s = -1.193 + 87.193. Let j = f + s. What is j rounded to seven dps? -0.0000006 Let a be 1*(2/3 + 4/3). Suppose 0 = a*f - 42 - 0. Let g be (7584/f)/(-4) - (-2)/7. Round g to the nearest 100. -100 Let t = 225.3996063 + -225.4. Round t to 4 decimal places. -0.0004 Let b = 0.1206 - 0.12563. Let c = b - -0.51683. What is c rounded to 2 decimal places? 0.51 Let d = -37.658779 - -37.673. Round d to 3 decimal places. 0.014 Let c = -5061 + 4559.5. What is c rounded to the nearest 100? -500 Let z = -1228.16 - -1275. Let t = z - 44.8. Round t to 1 dp. 2 Let k = -367080 - -1668120. What is k rounded to the nearest one hundred thousand? 1300000 Let b = -24701 + 24701.000047171. Round b to 7 dps. 0.0000472 Let s = 665.24420475888 - 4069278.94522905888. Let k = -4068614 - s. Let q = k + 0.299. Round q to six dps. 0.000024 Let j(a) be the second derivative of -2477*a**4/3 + 7*a**3/6 - 7*a**2/2 - 2*a + 2. Let i be j(-3). What is i rounded to the nearest one thousand? -89000 Let b = -438 - -438.104. Let m = 0.119976506 + -0.015976721. Let i = m - b. Round i to 7 dps. -0.0000002 Let t = -106.959 - -107. Let b = -0.276 + 0.012. Let p = b - t. What is p rounded to two decimal places? -0.31 Let l(f) = -833335*f - 10. Suppose -20*y + 18 = -23*y. Let q be l(y). Suppose 0*j + 2*j = -q. Round j to the nearest one hundred thousand. -2500000 Let q(f) = f**3 - 8*f**2 + f + 7. Let w be q(8). Suppose w*d + 2769805 = -713510. Let s = d + 130221. What is s rounded to the nearest ten thousand? -100000 Let l = -133958 - -133957.46051. Round l to two dps. -0.54 Let a = -0.82315 - -0.82314911234. Round a to 7 dps. -0.0000009 Let o = 119 - 124. Let k = -1180.98343017 - -1185.98343. Let g = k + o. Round g to 6 decimal places. 0 Suppose 0 = 2*l + a - 2*a + 478, l = a - 238. Let k be ((-231500)/3)/(476/l + 2). What is k rounded to the nearest one hundred thousand? -4600000 Let m = -208.9914 + 209. Let c = m - 2.7186. What is c rounded to the nearest integer? -3 Let u(g) = 122401*g**2 + 4*g - 7. Let p be u(2). Suppose 158395 + p = 4*t. What is t rounded to the nearest ten thousand? 160000 Let f = -430 - -431.3. Let v = 0.1 + 1.4. Let u = v - f. What is u rounded to zero dps? 0 Suppose 7*n - 36*n + 18*n + 22031900 = 0. Round n to the nearest 100000. 2000000 Let o = -34271.58857 - -34271. What is o rounded to 1 dp? -0.6 Let f = 9.03598 + -0.08198. What is f rounded to zero decimal places? 9 Let k = -1.0521 - -0.0223. Round k to 1 dp. -1 Suppose 716878333 - 142660340 + 294170507 = 227*u. Round u to the nearest 1000000. 4000000 Let b = 131.743282 + 0.044718. Round b to 0 dps. 132 Let u = -5514 - -5494.64. Round u to the nearest 10. -20 Let w = 115 + -120.9. Let y = 30.2 + w. What is y rounded to zero dps? 24 Let q = 8796.3 + -8796.81773. Round q to 1 dp. -0.5 Let a = -13 - -359. Let v = a + -346.00792. Round v to three decimal places. -0.008 Let t = -0.3635 - -0.1857. Let x = t + 0.299. What is x rounded to three dps? 0.121 Let x = -480 - -1876. Let s = -1339.9 + x. What is s rounded to zero decimal places? 56 Suppose -9 = -8*d - 41. Let z be (d + 75/9)*1893. Let f = z - -32797. What is f rounded to the nearest 1000? 41000 Let s be (-19)/152 + (-1)/(-8) - -3600. Suppose -6*x - s = -8*x. What is x rounded to the nearest one hundred? 1800 Let a = -19236 + 19282.115. Let s = 46 - a. Let g = 0.11594 + s. What is g rounded to 4 dps? 0.0009 Let z = -3636.7 + 1144.4. Round z to the nearest ten. -2490 Let t = -9375 - -9319.56. What is t rounded to the nearest 100? -100 Let a(h) = h**3 - 7*h**2 + 8*h - 8. Let t be a(6). Suppose d + 110 = -t*d. Let s be (-660)/(978/5500 + 4/d). What is s rounded to the nearest 10000? 170000 Let l = -3.474 - -3.3. Let o = 52.974 + l. Let i = o + 68.8. Round i to the nearest ten. 120 Let r be (-696)/(-6) + (0 - -3). Let c be 6/(-51) + (-31653986)/r. What is c rounded to the nearest 100000? -300000 Suppose -4*w - 7*w - 13930985 = 20020515. Round w to the nearest ten thousand. -3090000 Let j = 2268 - 1114. Suppose -4*s + 134 + j = 0. Let n = -188 + s. Round n to the nearest ten. 130 Let v = -46.07 + 47.0104. Round v to 2 decimal places. 0.94 Let v = -466 + 463.18. Let i = 2.820095 + v. Round i to 5 dps. 0.0001 Let w = 311 - 306.85. Let b = w - 4.152394. Round b to 4 decimal places. -0.0024 Let g = 438317352.999957 + -438317550. Let b = 197 + g. What is b rounded to five dps? -0.00004 Let c = -32 - -44. Suppose 2*u - 101 = -5*p + 129, -3*p - c = 0. Let t be 0 + u/5*20. Round t to the nearest 100. 500 Let m = -1.6159 - -1.4121. Round m to 3 dps. -0.204 Let t = -24062 + 24062.00066624. What is t rounded to four decimal places? 0.0007 Let i = -17404.5604 - -17406. Round i to 1 dp. 1.4 Let m = 19004176.1499937 + -19004175. Let o = -0.174 - -1.324. Let v = m - o. What is v rounded to
{ "pile_set_name": "DM Mathematics" }
, 0.3? -3 Which is the nearest to 0.1? (a) -0.02 (b) 2/7 (c) 5 a Which is the closest to 1? (a) 4 (b) 1/2 (c) -0.1 (d) -1 b Which is the closest to 2/23? (a) 4 (b) 1/2 (c) 5/6 b Which is the closest to 1/4? (a) -4 (b) 7 (c) 1/4 (d) 3/2 c Which is the closest to 0.2? (a) 1 (b) 5 (c) -4 (d) 2 a What is the closest to -1 in -7, -0.1, 1, 4? -0.1 Which is the nearest to 1/3? (a) -5 (b) -1.4 (c) -2/41 c Which is the closest to -2? (a) 5 (b) 3 (c) 2 (d) -4/3 d What is the nearest to 0.1 in 0.5, -1/42, 0? 0 What is the nearest to 1 in 1, -3/4, 152? 1 What is the nearest to -3 in 1, -2/5, 0.4, 0.38? -2/5 What is the closest to 0.1 in 1/4, -11, 5? 1/4 Which is the closest to -1/3? (a) -48 (b) -1/4 (c) 0.3 b Which is the nearest to 1/4? (a) -9 (b) 0 (c) 1 (d) -2/11 b Which is the nearest to -1? (a) -1/5 (b) 27 (c) -3 a What is the nearest to -1/4 in -3, 1/167, 0.5? 1/167 Which is the nearest to 68? (a) -11 (b) 0.4 (c) 4 (d) 0.3 c Which is the nearest to -2/3? (a) -4 (b) 77 (c) 2/17 c Which is the nearest to -0.062? (a) -1/4 (b) 1 (c) 0.1 c What is the nearest to 0 in -1, -0.8, -16/7, -3/4? -3/4 Which is the nearest to -0.04? (a) 3 (b) -1/3 (c) -1 b What is the closest to -1/4 in -0.14, 4, -0.4? -0.14 Which is the closest to -8? (a) -1/4 (b) -2/7 (c) 2/7 b Which is the closest to -0.1? (a) -118 (b) 5 (c) -2 (d) 4 c What is the nearest to 3/4 in 0.2, -0.1, -13? 0.2 Which is the nearest to 1.92? (a) 1/4 (b) -0.5 (c) -2/9 a What is the closest to 0.2 in 126, -4, -0.2? -0.2 What is the closest to 0.4 in 0, 0.0247, 5, -3/8? 0.0247 Which is the nearest to -1? (a) 0.7 (b) 5 (c) 5/9 c Which is the closest to -8/19? (a) 0 (b) -4 (c) -0.4 (d) 0.3 c Which is the nearest to -1/33? (a) -0.5 (b) -0.1 (c) 1/26 c Which is the closest to 0.09? (a) 3 (b) 0.5 (c) -0.015 c Which is the nearest to -1/4? (a) -1/2 (b) 1/7 (c) -5 a Which is the nearest to 0.32? (a) 5/4 (b) -1/5 (c) -2/7 (d) -0.5 b Which is the nearest to 2? (a) 2 (b) 47 (c) -0.3 a Which is the nearest to -3? (a) 0.06 (b) 0 (c) 1 b Which is the closest to 2/7? (a) 0 (b) 4/5 (c) 4/3 (d) 0.3 d What is the nearest to 7 in 3, 7, -5, 4? 7 Which is the nearest to 1? (a) -4/5 (b) -1/4 (c) -48 (d) -17 b What is the nearest to 1 in 4/3, -1, -1/251? 4/3 What is the nearest to -6 in -1, -4, 2/15? -4 What is the nearest to 5/12 in 1.5, -2/5, 4, 4/3? -2/5 What is the nearest to -0.1 in -5, -0.5, 1/4? 1/4 What is the closest to -22 in 3, 0, 5, 4? 0 Which is the closest to 0? (a) -32 (b) 3 (c) -1 (d) -11 c What is the closest to -2/7 in 0.5, -4, -5? 0.5 Which is the nearest to 0? (a) -0.13 (b) 1.2 (c) 1 a Which is the closest to -1? (a) 3 (b) 8 (c) 0.4 (d) -1/2 d What is the nearest to 13 in 5, 3, 6, 0.4? 6 Which is the nearest to 1? (a) -4 (b) 3 (c) 101/5 b What is the closest to 1/4 in 5, 0.3, -0.1? 0.3 Which is the nearest to -1? (a) -0.2 (b) -1/40 (c) 0.06 a Which is the closest to 1? (a) -1/4 (b) 4 (c) 31 a Which is the nearest to 1? (a) -2 (b) -1/5 (c) 3 (d) 0.3 d Which is the nearest to 1? (a) -3/4 (b) -147 (c) -4 (d) 3 a What is the nearest to 1 in 3, -0.3, -0.02, -3? -0.02 What is the nearest to 1 in 3/5, 1, -10, -5? 1 Which is the nearest to -60? (a) 0.3 (b) 2/7 (c) -0.2 (d) -0.03 c Which is the nearest to 0? (a) 0 (b) -2/3 (c) -2/5 (d) -3 a Which is the nearest to 0.23? (a) 1 (b) -0.2 (c) 2/5 (d) 4 c Which is the nearest to -4/5? (a) 1/11 (b) 4 (c) -2/5 (d) -4 c Which is the nearest to 2? (a) 2 (b) -5/3 (c) 1/4 a What is the closest to -0.2 in -5, -2, -0.07, -2/17? -2/17 What is the closest to -19 in 0.4, -1/5, -3, 5? -3 Which is the closest to -0.3? (a) 197/2 (b) 0.04 (c) 1 b What is the nearest to -1/4 in -0.4, -377, -1/4, 1? -1/4 Which is the closest to -0.1? (a) 14 (b) 1 (c) -0.3 (d) -3 c What is the closest to -1/4 in -0.4, -0.7, 0.09, 1? -0.4 Which is the closest to 3? (a) 0.1 (b) 1.3 (c) -4 (d) 3 d What is the nearest to 0.1 in 2/13, -0.2, 5? 2/13 What is the closest to -0.1 in 43/7, 1, -3? 1 Which is the nearest to 21? (a) -0.2 (b) -2/5 (c) 3/2 (d) 2/11 c What is the closest to -2/3 in 0.07, 0.2, -4? 0.07 What is the nearest to 0.2 in -4, 4, 27? 4 Which is the nearest to -0.3? (a) -5 (b) 50 (c) -4 c Which is the closest to -2/27? (a) -5/2 (b) 3 (c) 1/3 (d) -5 c Which is the nearest to 4? (a) 3 (b) -3 (c) -4 (d) 0.4 a What is the closest to -1 in 9, 2/5, 4? 2/5 What is the nearest to 18 in -2/17, 1, 0? 1 Which is the nearest to 1/2? (a) 1/5 (b) -1 (c) -0.35 (d) 3 a Which is the nearest to 0.1? (a) 2 (b) 1/3 (c) -3 (d) -1/7 b What is the closest to 0.2 in -0.1, 3, 1, 0.04? 0.04 Which is the closest to -1/2? (a) 0.5 (b) 7 (c) -5 (d) -1/7 d What is the closest to 1 in -5, -2/21, -2/5, 49? -2/21 What is the nearest to -111 in -5, 5, -3? -5 Which is the nearest to -32? (a) -1 (b) 1/2 (c) -0.04 (d) -4/3 d What is the closest to -68 in -2, 2, 0.3? -2 Which is the closest to -1? (a) 3 (b) -21/4 (c) -0.09 (d) -2 c Which is the closest to -1? (a) 4 (b) -4 (c) 0.4 (d) -2/3 d Which is the closest to -3/5? (a) -0.01 (b) 0 (c) -5 a What is the closest to 1 in 2/35, -2/27, -6/11? 2/35 What is the nearest to -98 in -1, 2/5, 1/8? -1 What is the nearest to 1/4 in -0.15, 0, -1/2? 0 Which is the nearest to 2/5? (a) -0.5 (b) 26 (c) 2/9 (d) 4/5 c Which is the closest to -2? (a) -1/2 (b) -5 (c) 12 (d) 3 a Which is the nearest to -2/7? (a) 0.4 (b) 5 (c) -0.41 c What is the closest to -3/23 in 0, -1/8, 0.116? -1/8 Which is the closest to 0? (a) 3/4 (b) 0.8 (c) -2/3 (d) 0.5 d What is the nearest to -1 in 0, -5, -0.4, 1/6? -0.4 What is the closest to 1/3 in -1/5, -3, -2/15? -2/15 Which is the closest to 0.2? (a) -3/5 (b) 515 (c) 0.3 (d) -4 c What is the nearest to -0.07 in 3, -1/4, -4? -1/4 Which is the closest to -0.2? (a) 0 (b) -24/5 (c) 0.2 (d) 1/4 a Which is the nearest to -9? (a) -0.1 (b) 1 (c) 1/3 a Which is the closest to -1? (a) 2 (b) -2/5 (c) 0.04 (d) 0.1 b What is the closest to 1/6 in 2/25, 3, -0.1? 2/25 What is the closest to -811 in 2/11, 2/3, -2/9? -2/9 What is the closest to -1 in -4, 2/7, -3, -2? -2 Which is the nearest to -2/7? (a) -1/5 (b) -14 (c) 3 (d) 3/2 a What is the nearest to -1 in 27, 1/4, -1/115? -1/115 What is the closest to 0.1 in -4, -15/8, -3, 0.2? 0.2 What is the nearest to 4 in 2/11, -16, 0.2? 0.2 Which is the nearest to -2/7? (a) 1/3 (b) 1 (c) 2/5 (d) 2/9 d Which is the closest to 0.1? (a) -9 (b) 1/4 (c) -0.5 b Which is the nearest to -0.14? (a) -0.2 (b) 0 (c) 5 (d) 3/8 a Which is the nearest to -2/7? (a) -36 (b) 4 (c) -0.9 c What is the closest to -2 in 30, 0, 0.4, 2/11? 0 Which is the closest to 0.5? (a) 1 (b) 5/3 (c) -41 (d) 5 a Which is the closest to 1/4? (a) -1 (b) -258 (c) -4 a Which is the closest to -0.1? (a) 2/13 (b) 0.4 (c) 1/18 c What is the closest to -0.1 in -6, 4, 5? 4 Which is the nearest to -0.1? (a) 5 (b) 1/7 (c) -10 b What is the nearest to -3/8 in -20, 3, -3? -3 Which is the closest to 22? (a) 3 (b) 3.7 (c) 0 b What is the nearest to 0 in 0.3, -2/3, 22? 0.3 What is the closest to -1 in 3, -0.5, 159? -0.5 What is the nearest to 0.1 in -0.2, 0.42, 1, 6? -0.2 What is the nearest to 0 in 0.02, -0.06, 2/11, -1/8? 0.02 What is the closest to -2 in 0.1, -0.4, -54/13? -0.4 Which is the closest to 0? (a) -3 (b) 6 (c) -4 (d) -5/4 d Which is the nearest to 193? (a) 2 (b) -2 (c) 0.3 a Which is the nearest to -1/2? (a) 0.04 (b) -13 (c) -2 (d) -0.1 d What is the closest to -3 in 5, -6, -1? -1 Which is the closest to -3/2? (a) -9 (b) 4 (c) 0.01 c Which is the closest to 25? (a) -11 (b) 0.06 (c) -4 (d) -3 b Which is the closest to 53? (a) 0.5 (b) -3 (c) -0.1 (d) 1/3 a Which is the closest to -3/4? (a) -1/5 (b) -5 (c) -1 c What is the closest to 0 in -1/5, 1/13, 3? 1/13 What is the nearest to 0 in -2/17, -1/3, -5, 3? -2/17 What is the closest to 1/5 in -3/8, 1, -9? -3/8 What is the nearest to -0.1 in -33, 3/10, -3? 3/10 What is the nearest to 2 in -4/7, -0.8, 2? 2 Which is the nearest to -4? (a) 31/2 (b) 1 (c) 3 (d) 0.5 d Which is the closest to 1/59? (a) 0.3 (b) 5 (c) 2 a What is the nearest to -1 in -1, 2, 5, -3
{ "pile_set_name": "DM Mathematics" }
f v and 2. 1 Let u be -8*(1 + 15/(-6)). Let s be 4/u + (-114)/(-9). Suppose 49*a = 73*a - 4056. Calculate the greatest common divisor of a and s. 13 Let i = -39 - -61. Suppose -14*q = -i*q + 32. What is the highest common factor of q and 6? 2 Let d(y) = -y**2 + 6*y + 23. Let v(n) = -n**2 - 3*n + 18. Let m be v(-5). Let k be d(m). Suppose -c - k = -19. What is the highest common factor of 108 and c? 12 Let x be 1/(-4) - (-17)/4. Let j be -13 - (-649 - 6) - (10 - -4). Calculate the greatest common divisor of j and x. 4 Suppose 0 = -2*m + 14 + 4. Suppose 0 = -7*z - 96 + 12. Let h be 2910/36 - 2/z. Calculate the greatest common divisor of h and m. 9 Suppose 685 = 17*t - 8*t - 71. What is the highest common divisor of t and 819? 21 Let o(w) = 4*w - 54. Let a = -94 + 98. Suppose -c = -a*c + 42. Let s be o(c). What is the highest common factor of s and 2? 2 Let f(t) = -t**2 - 12*t - 19. Let b be f(-10). Suppose 4*p - 7 = -3. Calculate the greatest common factor of p and b. 1 Suppose 183*c = 42*c + 15298 + 7403. What is the highest common factor of 3151 and c? 23 Let y(f) = -f**3 + 10*f**2 + 6*f - 14. Let n be y(10). Suppose 449 = 5*r + 149. Let z = r - n. Calculate the greatest common divisor of 7 and z. 7 Let k(s) = -12*s + 60. Let y be k(4). Suppose 2 + 118 = y*o. Suppose -2*l = -26 - 24. What is the greatest common divisor of o and l? 5 Suppose -1 = -2*h - 5, -3*c + 554 = -4*h. Suppose 0 = -0*b - 4*b - 40. Let g be (-39)/(-6)*b*(-12)/30. What is the highest common factor of c and g? 26 Let j be ((-65)/(5 + 0))/(-1). Let b = 17 + j. Let c = 38 - b. What is the greatest common factor of c and 6? 2 Let v(k) = -7*k + 134. Let z be v(13). Suppose -2*n + q + 782 = 5*q, 0 = 5*n + 2*q - 1939. What is the highest common factor of z and n? 43 Let v be (36/14)/((-1185)/(-276500)). What is the greatest common divisor of v and 4650? 150 Let v be (31 + -25)*((-6101)/(-2) - 1). What is the highest common divisor of 171 and v? 171 Let k(u) = -u**2 + 25. Let i be k(-5). Suppose 4*z - 2 = -2*c, 3*c + i*z + 2*z - 7 = 0. What is the greatest common divisor of 11 and c? 1 Suppose 4 = 23*u - 21*u. Suppose -5*i = -i + 3*m - 45, -u*m - 26 = -2*i. What is the highest common factor of i and 15? 3 Let p be 2 + (0/3 - (2 + -376)). Suppose -5*n - p = -3*x + 97, 4*n = x - 153. What is the highest common factor of x and 7? 7 Let j(o) = 6*o**2 + 41*o - 16. Suppose 2*r + 2*l = l - 18, 2*r = 4*l - 8. Let f be j(r). What is the highest common factor of 16 and f? 8 Let b = -3402 + 3915. Calculate the greatest common factor of b and 27. 27 Suppose 1280 = 6*v + 2*p, -p = 4*v - 6*v + 420. What is the highest common divisor of v and 1325? 53 Let f be (390/(-10))/(-13) - (-1 - 50). Let a = 2 - 0. Calculate the greatest common factor of a and f. 2 Suppose -20*b + 5*v = -16*b - 117, 0 = 11*b - 4*v - 312. Calculate the greatest common factor of 13370 and b. 14 Let j = -66 + 54. Let n be 220/(-32)*-6 - j/16. Calculate the highest common divisor of 294 and n. 42 Let x(w) = -w**3 - 9*w**2 - 20*w + 14. Let p be x(-7). Suppose -50*z - 240 = -p*z. What is the highest common factor of z and 280? 40 Suppose 0 = -182*j + 187*j + 20, 5*j = w - 66. What is the greatest common factor of 506 and w? 46 Let o = -299 + 322. Suppose -38019 = -37*g + 13892. Calculate the highest common divisor of g and o. 23 Let x be 30/465 + (-80)/155*556/(-16). Suppose -2*y - y = -6. Let u be 7 + -2*1/y. What is the greatest common factor of u and x? 6 Suppose -62*h = -58*h - 764. Let g = h - 140. What is the highest common divisor of g and 561? 51 Let f = 3889 - 3645. Calculate the highest common factor of 793 and f. 61 Let u be 42/(4*12/112). Suppose 9*n + 139 = 391. Calculate the greatest common factor of u and n. 14 Let u(l) = -7*l + 38 + 8 - 17. Let z(f) = 2*f**3 + 21*f**2 + 11*f + 3. Let p be z(-10). Let t be u(p). Calculate the highest common factor of 39 and t. 39 Let w(h) = -133*h**3 + 7*h**2 + 8*h - 13. Let u be w(-5). Suppose u + 2207 = 27*g. Calculate the highest common factor of g and 54. 54 Let b(s) = 116*s + 72. Let q be b(5). Let l = q - 643. What is the greatest common divisor of 459 and l? 9 Suppose -3519*d + 3476*d + 2580 = 0. Calculate the highest common divisor of 3684 and d. 12 Suppose 40*w - 34*w - 672 = 0. Let h = w - 52. Let d(k) = -k**3 + k**2 + k + 2. Let b be d(-2). What is the highest common factor of h and b? 12 Let i = 804 + -271. Suppose 3*r - 709 - i = 0. What is the greatest common divisor of r and 46? 46 Let l = 2465 + -2360. What is the highest common factor of 285 and l? 15 Suppose -20130*h - 7 = -20131*h. What is the greatest common factor of h and 87? 1 Let p(f) = 4*f**2 + 3*f + 4. Let t(u) = 5*u**2 + u + 5. Let q(i) = 6*p(i) - 5*t(i). Let s be q(12). What is the greatest common factor of s and 44? 11 Let d be (-2)/3*(-84)/8. Let t be d + (-2 - (-48)/8). What is the highest common divisor of t and 704? 11 Let r = -529 + 757. Let o = 192 - 180. What is the greatest common divisor of o and r? 12 Suppose r + r = 68. Let s = 118 - 115. Suppose 0 = 5*o - 4 - 21, -s*y - 2*o = -418. Calculate the highest common divisor of r and y. 34 Suppose -7 = -3*u + 11, 4*d - 5810 = -3*u. Calculate the greatest common divisor of 905 and d. 181 Let a = 15 - 11. Suppose -y + 3*p = y - 141, -2*y + 4*p + 140 = 0. What is the highest common divisor of y and a? 4 Let y = 89 + -51. Let x be (-4 - (-4075)/15) + (-2)/(-6). Suppose 3*p - p + x = j, 0 = p + 1. What is the highest common factor of y and j? 38 Let f be (-1 - 3)*206/(-8). Let r be 75/30 + 34/(-4). Let i be f/5 + r/10. What is the highest common divisor of 200 and i? 20 Let r be -1 + 6297/7 - (-19 + 780/42). Calculate the highest common divisor of 93 and r. 31 Let o(i) = -7*i - 24. Let b be -32 - (-9)/((-36)/16). Let l = -44 - b. Let y be o(l). Calculate the highest common divisor of y and 16. 16 Let w(x) = -x + 40. Let q be w(17). Suppose 2*o + 10 - 44 = 0. Let h = q - o. What is the highest common factor of 2 and h? 2 Let z = -7 + 7. Suppose -4*v + t + 77 = 0, z*t - 64 = -3*v + 2*t. Let n be ((-16)/2 - -20)*2/(-8) + 147. Calculate the highest common factor of n and v. 18 Let o = -238 - -518. Let u(d) = -20*d. Let b be u(-1). What is the greatest common factor of o and b? 20 Let i = -8022 + 8178. Calculate the greatest common divisor of i and 276. 12 Suppose -r + 0*r = -2. Suppose -21 = -0*u - u + 2*y, 0 = -4*u + 4*y + 80. Suppose n + u = r*n. Calculate the greatest common divisor of 76 and n. 19 Let l be 1 + 27 - 1*-4. Suppose -28*j - 288 = -l*j. Calculate the highest common divisor of j and 180. 36 Let d be 14/4*1032/42. Suppose d*p - 78*p = 1904. Calculate the highest common divisor of p and 21. 7 Suppose -c - 18 = -4*c. Suppose 3*z = -4*v + 434, 734 = 5*z - 94*v + 98*v. Calculate the greatest common divisor of c and z. 6 Let r be 196 - ((-6)/(-18) + 2/12*34). Suppose o = 6*o - 190. Calculate the highest common divisor of o and r. 38 Let v(r) = 2*r**2 - 19*r + 66. Let d be v(11). Let b be (3354/24)/13 + 1/4. What is the highest common divisor of b and d? 11 Let s(r) = -105*r**2 - 3*r - 5. Let j be s(-2). Let l = -294 - j. What is the greatest common factor of l and 50? 25 Let j(o) = o**3 - 63*o**2 + 767*o + 101. Let x be j(47). Calculate the highest common factor of 117 and x. 13 Let q = 14695 + -14574. Calculate the greatest common factor of q and 121. 121 Let v be ((11/(-1))/(-1))/((-4)/(-16)). Suppose -4*s + v = 2*k, 3*k - 5*s - 106 = -40. Suppose 13 + 20 = 3*d. What is the greatest common divisor of k and d? 11 Let u(w) = w**3 + 39*w**2 + 127*w - 279. Let a be u(-35). What is the highest common factor of a and 14696? 88 Let f be (42 - 48)/(3/(-5)). Calculate the highest common divisor of f and 1310. 10 Let l(j) = -j**3 + 17*j**2 + 18*j + 4. Let r be l(18). Suppose 0 = 3*i + z - 611, -4*z = -7*i + r*i + 616. What is the greatest common factor of i and 153? 51 Let q be 6 - (10/6 + (-70)/15 - 5). Let p be (3 - 1)/1 - -49. Let l = p - 9. Calculate the highest common divisor of l and q. 14 Suppose 300 = 4*s + 640. Let o be -5 + s/(-20)*4. What is the greatest common divisor of 624 and o? 12 Let u(q) = -4*q**2 + 3. Let f be u(0). Let y = f + 23. Let v(p) = p**2 + 2*p - 2. Let l be v(-5). What is the greatest common divisor of l and y? 13 Let m(f
{ "pile_set_name": "DM Mathematics" }
(a) 99.85 (b) -5 (c) 60 (d) -0.2 (e) -0.9 b Which is the fifth biggest value? (a) -4 (b) 921 (c) 1 (d) -7/2 (e) -8 e What is the fourth smallest value in -5/84, 3.4, 8, 2/15, 0.4, -5? 0.4 What is the second smallest value in -0.175, 0.406, 10, -12/7? -0.175 Which is the second biggest value? (a) 542 (b) 3/8 (c) 1 (d) 0.7 (e) 3/2 (f) -1 e Which is the second smallest value? (a) -109 (b) 32 (c) 11247 b What is the third smallest value in -4, 5, -26, 0.06183, -2, -0.7, 1/2? -2 Which is the fifth biggest value? (a) 6 (b) 7 (c) 7/8 (d) -0.3 (e) 10 d Which is the third smallest value? (a) 1.6 (b) -5 (c) 5 (d) 0.4 (e) 86/9 (f) 11 a What is the second smallest value in 0.33, -39, -6, 2/5, -1? -6 Which is the second smallest value? (a) -0.184 (b) 91 (c) 34 c What is the smallest value in 166.8, -1/7, -149/4, -1/4, 4? -149/4 What is the second smallest value in -795, -3, 366.1? -3 Which is the fourth smallest value? (a) 0 (b) -47 (c) 0.871 (d) 1 (e) -1 (f) -6 a Which is the biggest value? (a) -233 (b) 10 (c) -896 b Which is the seventh smallest value? (a) 2/9 (b) 1 (c) 2/11 (d) -1 (e) 0.4 (f) -0.08 (g) 484 g Which is the third biggest value? (a) -0.19010134 (b) 10 (c) -0.3 c Which is the fifth smallest value? (a) -4/7 (b) 283 (c) -2/9 (d) 2 (e) -14 (f) -1/2 d Which is the second smallest value? (a) -0.04 (b) 538 (c) -6/22177 c What is the smallest value in -0.1, -30, 2085, 2, -2/9, 11? -30 What is the smallest value in 3, -3/8, 6/11, 2/5, 0.2, -7713? -7713 What is the third smallest value in 2/13, 1.73, 2, -1.3? 1.73 What is the third smallest value in -56067, 5/2, -0.17, 10? 5/2 What is the second biggest value in -0.9, 1.3, 1/2, -0.21, 0.3, -5? 1/2 Which is the third biggest value? (a) -158695/3 (b) 0.3 (c) 4 a What is the third biggest value in 2505, 1.4, 118, 3, 6/11? 3 Which is the fourth smallest value? (a) -56/33 (b) 2 (c) -10/1427 (d) 4 (e) -3/7 b What is the third biggest value in 283.9, 2/11, 172? 2/11 What is the third smallest value in 57197, 9, -0.1, -0.4, 0.7? 0.7 What is the third biggest value in -2/5, 1399, -3.5, 3/5, 18? 3/5 Which is the fourth biggest value? (a) 10 (b) 9576 (c) -0.5 (d) -7 (e) -0.3 c What is the fifth smallest value in 188, 0.02, -1/4, -116, 3/7, -5, 0.4? 0.4 What is the smallest value in 22, -2/9, 1/2, -2.2192, 2, 0? -2.2192 What is the second biggest value in 605/4, 108, 21, 2? 108 What is the biggest value in 25702, 4, 7/3? 25702 Which is the fifth smallest value? (a) 1149 (b) 0.15 (c) 4/31 (d) -0.2 (e) -0.4 a Which is the fourth smallest value? (a) 63 (b) -2 (c) -5683 (d) -5 (e) 2/9 e Which is the second smallest value? (a) 15 (b) -60711 (c) 8 c Which is the smallest value? (a) -103517 (b) -0.3 (c) -14 a What is the third biggest value in 1/1215, -1/12, -2/13, -3? -2/13 What is the second biggest value in -4244, -0.2, 2, 0.5, -1/13? 0.5 Which is the biggest value? (a) 3/43 (b) 1 (c) -0.2 (d) 2781 (e) 2/3 d What is the third biggest value in -1, 81, -1143, -2, -5? -2 Which is the smallest value? (a) -31 (b) -1/6 (c) 4.6366 a Which is the fifth biggest value? (a) -1/2 (b) 139 (c) 0.1 (d) -0.1 (e) -189782 e What is the third smallest value in -4, -49, 0.5, 0.3, -3/5, 3.52? -3/5 Which is the fifth biggest value? (a) -2 (b) 0.1 (c) 4 (d) 1 (e) -0.3 a What is the second smallest value in -2, -84, -1827, -30? -84 Which is the sixth biggest value? (a) 0 (b) -17/7 (c) -58.15 (d) -0.3 (e) -0.8 (f) 0.3 c Which is the fifth biggest value? (a) 0.06 (b) -0.4 (c) 7405 (d) -4/3 (e) 1/7 d What is the second smallest value in -2/9, -0.07, 0.5, -0.10209? -0.10209 What is the fifth biggest value in 363, 0.2, 201, 24, 4/3? 0.2 What is the third biggest value in -10, -0.113269, -0.4, 5, -2? -0.4 Which is the third biggest value? (a) -1 (b) 0.0096 (c) 18 (d) 1 (e) -5 (f) 1.8 d What is the third smallest value in -6/23, -2/15, -14, -83, -0.2? -6/23 What is the fourth smallest value in 17, 67, -36, 2, 3? 17 What is the smallest value in 99, 14, 102, -27? -27 What is the sixth biggest value in -89, 3, 1, 7, -0.5, 2.5, -0.2? -0.5 Which is the third biggest value? (a) -28/11 (b) -3 (c) 3933/10 b What is the third biggest value in 44, 3, 25439, -2/7? 3 Which is the seventh biggest value? (a) -1 (b) -7 (c) -0.5 (d) -11 (e) 2/3 (f) 6 (g) 29 d Which is the biggest value? (a) 0.29 (b) -4 (c) -3/11 (d) 3 d What is the fifth biggest value in -1, -0.07, 3/13, -0.1, -6, -3, 0.4? -1 Which is the smallest value? (a) 265 (b) -112 (c) -72 (d) 1/4 b What is the smallest value in -2.76, 0.2, 5366? -2.76 What is the second smallest value in 7, 26, -2, 3, 1/5, -9, -11/7? -2 Which is the second biggest value? (a) 16/17 (b) 0 (c) -4364 b What is the fourth biggest value in -2/9, 3, -3, 2, 0, -2.6, -4/305? -4/305 Which is the second biggest value? (a) -6 (b) 3 (c) -2/49 (d) -613 (e) -1/43 (f) 1 f Which is the second biggest value? (a) -5 (b) -87 (c) 1363 a Which is the fifth smallest value? (a) 4 (b) 1 (c) -4 (d) 0 (e) -5 (f) -1.663 b Which is the third smallest value? (a) 0.3 (b) 0.1 (c) -0.12 (d) 7/5 (e) -0.16 (f) 15/13 b What is the second smallest value in 0.5, 0.85, 20, -249? 0.5 Which is the fifth smallest value? (a) -0.1 (b) 0.3 (c) 14 (d) 2.9 (e) 32 (f) 1.5 c Which is the third smallest value? (a) 0.3 (b) 8 (c) -0.4 (d) 1/19 (e) 1 (f) 3 (g) -11074 d What is the third biggest value in 0.075, 15790, 5.3? 0.075 What is the third biggest value in 2, -845, 29, 4, -0.1, 1, 94? 4 What is the second biggest value in -1304/11, 26.58, -5? -5 Which is the third biggest value? (a) 3/5 (b) 2/13 (c) 2/5 (d) 41 (e) -3 (f) -16090/9 c What is the smallest value in -0.55, 0.61, 1/7, -2/123, 5, 0.5, -0.4? -0.55 What is the third smallest value in 59/10, -0.053, -0.3, 0.2, 4, -1/5, -2/9? -1/5 Which is the biggest value? (a) -0.05 (b) 622/5791 (c) 1 c Which is the second biggest value? (a) -0.24 (b) 5 (c) -19 (d) 4 (e) -6 (f) 606 b What is the second biggest value in -0.2, -0.01, -0.291656? -0.2 What is the third smallest value in -2/5, 1/3, -1.25, 0.3? 0.3 What is the fourth smallest value in 3, 22, -3935, -1? 22 What is the second smallest value in -182, 0, -2/4265? -2/4265 What is the second biggest value in -10, -89, -104/9, 55? -10 Which is the second smallest value? (a) 20 (b) 1 (c) -93/1250 b Which is the fourth smallest value? (a) 1 (b) 2/9 (c) -1/5 (d) -52 (e) 1/3 (f) 11 (g) -1 b Which is the fifth biggest value? (a) 6 (b) -5 (c) 1/9 (d) 25 (e) -8/7 (f) 0.09 e Which is the seventh smallest value? (a) -3 (b) 4 (c) -3.1 (d) 990 (e) 2/11 (f) 2/5 (g) 1 d Which is the third smallest value? (a) 4 (b) -17277 (c) -13 a What is the sixth smallest value in 1, 2/49511, 0.2, -0.4, -2, 2? 2 What is the second biggest value in 3/4, 2/5, 11/3, 1, 122644, 3, -1/8? 11/3 Which is the third biggest value? (a) 1/3 (b) -0.02 (c) -6194 (d) -0.5 (e) -0.3 (f) 13 b Which is the third biggest value? (a) 40 (b) 3.414 (c) 4 b Which is the seventh biggest value? (a) 6/5 (b) -1 (c) -0.34 (d) -3/91 (e) 2 (f) -3/4 (g) 4/9 b Which is the fifth biggest value? (a) 2/79 (b) 79 (c) -3 (d) 0.1 (e) 1.1 (f) -10 c Which is the smallest value? (a) -136 (b) -274 (c) -0.3 (d) -1 b What is the second smallest value in 29.5, 110, -4, -0.3, -0.4, -3? -3 What is the fifth biggest value in 2, 806, 0.4, -5, 4, -1, -0.15? -0.15 Which is the second biggest value? (a) 0.08 (b) 29 (c) 16 (d) 3 c What is the biggest value in -0.6, 0.54, 0.4, 62951? 62951 Which is the third biggest value? (a) -5 (b) -54897 (c) -1/8 (d) -2/3 (e) -0.3 d Which is the third biggest value? (a) 0.086 (b) 1/6 (c) 56/5 (d) -1 (e) -3/4 (f) -49/2 (g) 4 b What is the second smallest value in 2/7, -9, 1/7, 5, 0.08, -251/15? -9 What is the third biggest value in 7, 0.3, -21, -0.2, -4969? -0.2 What is the fourth smallest value in 4/481, -0.5, 4, 10/13, 0.3, -0.3? 0.3 Which is the third biggest value? (a) 5 (b) 2/1493 (c) -0.1005 c Which is the second biggest value? (a) 4/3 (b) 12.35363 (c) -3 (d) 17 b Which is the fourth smallest value? (a) 665 (b) -0.172 (c) 0.5 (d) -0.6 a Wh
{ "pile_set_name": "DM Mathematics" }
Let y(o) = 17 - 21 - 2*o + 3*o + 13. Let l be y(-5). What is the units digit of b(l)? 7 Let u(m) = -8*m - 52. Let w be u(12). Let z = -67 - w. Suppose 11*t = 961 - z. What is the tens digit of t? 8 Let c = 17000 + -10394. What is the tens digit of c? 0 Let i be -305*2/(-4)*10. Let x = i + -954. What is the hundreds digit of x? 5 Suppose 2*k = -5*f - 6 - 1, 5*k - 8 = -4*f. Let l be (-14)/(-49) + 19/7. Suppose -l*t - k*g = -198, 5*t - 3*g - 66 = 4*t. What is the tens digit of t? 6 What is the hundreds digit of 67643/10 - 363/1210? 7 Let q = -316 - -136. Let u = q - -199. What is the tens digit of u? 1 Let a = 1237 + 8084. What is the tens digit of a? 2 Let t be (0 + 6)/(9/6). Suppose -917 = -2*i + m, -3*i + 2*m - 451 = -t*i. What is the hundreds digit of i? 4 What is the hundreds digit of (-1 + -3 + 48/9)*(-21765)/(-20)? 4 Let r(l) = -6*l + 2. Let q = 8 - 6. Suppose -q*o - 13 = -1. What is the units digit of r(o)? 8 Suppose 69*p = 98*p - 67077. What is the thousands digit of p? 2 Let a = 150 - 100. Suppose 0 = -57*p + a*p + 42. Suppose 124 = p*d - 206. What is the tens digit of d? 5 Suppose -327375 = 86*n - 1226849. What is the ten thousands digit of n? 1 Let i = -208 + 4349. What is the units digit of i? 1 Let s(q) = -q**3 + 7*q**2 + 4*q - 26. Let w be s(7). Suppose 2*g - w*m - 632 = 0, -3*m + 945 = 3*g - 5*m. What is the units digit of g? 3 Let b(r) = r**2 + 9*r + 17. Let u be b(-7). Let h(g) = 55*g**3 - 5*g**2 + 12*g + 2. What is the thousands digit of h(u)? 1 Suppose z - 4*s = -s - 3, 3*z + s = -39. What is the units digit of 262*(z/(-32))/(12/16)? 1 Let o = 127 + -127. Let w(f) = 16*f + 963. What is the units digit of w(o)? 3 Let v be -20*(-15 + 18 - (-6170)/4). What is the thousands digit of v/(-25) + (-18)/(-30)? 1 Suppose 196631 - 971693 = -25*h - 161*h. What is the thousands digit of h? 4 Suppose 0 = 3*r + 5*n + 10, -r + 0*r + 4*n = -25. Let c(d) = -2 - 3*d - r - 2*d**2 - 5*d - 3*d**2 + d**3. What is the units digit of c(7)? 5 Suppose 44*h = 41*h + 12. Suppose -2*r - i + 5 = -h, 0 = r + 4*i - 22. Suppose 7*u - 830 = r*u. What is the tens digit of u? 6 What is the hundreds digit of (-1872689)/(-35) - 192/480? 5 Let q(p) = -48*p**3 - p**2. Suppose 1 + 3 = 3*a - 5*t, 5*a = 4*t - 2. Let f be q(a). Suppose -7*u + 2*u = -f. What is the tens digit of u? 7 Let b(u) = -3*u - 55. Let o be b(-13). What is the tens digit of 1780/16 + -2 - (-4)/o? 0 Let x(f) = -44*f**3 + 5*f**2 + 17*f + 25. Let n be (-12)/30 + (-65)/25. What is the tens digit of x(n)? 0 What is the units digit of 2/((-53568)/(-2060) + -26)? 5 Suppose -2*u + 6*u = 8. Let s be ((-12)/8)/(u/(-8)) - 0. What is the tens digit of 29*4/8*s? 8 Let t be (7 - (-555)/(-25))/((-2)/10). Let v = t + -86. Let d = v - -31. What is the tens digit of d? 2 Let m be 3*38 - (-24 - (-140)/7). Let a be -1*(1*-18 - -2). Suppose -3*n + b = -221, -2*n - 2*b + m + a = 0. What is the tens digit of n? 7 What is the tens digit of 31193*(-1 + ((-30)/(-6) - (-3 - -6)))? 9 Let v(i) = -i. Let c(r) = -3*r + 422. Let m(n) = c(n) - 2*v(n). What is the units digit of m(0)? 2 Let s be -3*((-13)/6)/((-6)/(-12)). Suppose 5*b + 385 = -5*f, -2*b - 140 - s = 3*f. Let y = b - -127. What is the tens digit of y? 4 Let r(v) = v**3 + 4*v**2 - 5*v - 6. Let o be r(-5). Let h = -54 - o. Let l = h + 96. What is the tens digit of l? 4 Suppose -150*d + 11669967 = 7*d. What is the tens digit of d? 3 Let u(k) = 161*k - 12. Suppose -5*p = -o - 0 - 11, -5*o - 13 = -4*p. What is the tens digit of u(p)? 1 Let a(w) be the first derivative of -w**3/3 + 29*w**2/2 + 29*w - 4. Let z be a(12). Let r = z - 33. What is the tens digit of r? 0 Suppose 0 = -3*n - 3*u + 5112, 0 = 4*n - 3*n - 3*u - 1688. Suppose -r - 422 = -2*i, i = 4*r - 3*i + n. What is the units digit of (-4)/10 - r/20? 1 Suppose 0 = -5*l + 3*f + 17054, -3450 = -l - f - 4*f. What is the hundreds digit of l? 4 Let p(t) = -2*t**2 + 388*t + 331. What is the hundreds digit of p(53)? 2 What is the thousands digit of 20/(-110) - 0 - 1346850/(-55)? 4 Let v = 196 + -153. Suppose -v*u + 45*u - 28 = 0. Suppose -772 = -18*z + u*z. What is the tens digit of z? 9 What is the units digit of (-16370)/54*(7 - 1)*-9? 0 Let a = -30 - -35. Suppose 0 = -2*i - 4*s - 6, -2*i = -5*i + a*s + 35. Suppose -f + c + 39 = -0*f, i*f - 3*c = 185. What is the units digit of f? 4 Let f be (-628)/5*((-10)/4 + 0). Let n = -85 + f. What is the hundreds digit of n? 2 Suppose 124*j - 46062 = -16922. What is the tens digit of j? 3 Let k(z) be the first derivative of z**3/3 - 17*z**2/2 - 14*z - 14. Let w be k(18). Suppose -6 = w*u - 50. What is the tens digit of u? 1 Suppose 5*g = q + 24, 0 = -2*q + 5 - 3. Suppose w = 2*n - g, 15 = 3*w + 2*n + 2*n. What is the hundreds digit of 1104/9 - w/(-3)? 1 Let z(w) = 2*w**3 - 4*w**2 - 2*w + 12. Let y be z(4). Let m(s) = 7 + 45*s**2 - y*s**2 - 3*s + 31*s**2. What is the units digit of m(-3)? 8 Let d(h) = -51*h + 86*h + 90*h**3 - 37*h - h**2 + 2. Let n = -1 + 2. What is the tens digit of d(n)? 8 Let n be (-2 + 4)/(4*1/294). What is the tens digit of -1*n/2*(-24)/18? 9 Let r be ((-2041)/(-39))/(1/3 - 0). Suppose 5584 = 165*u - r*u. What is the units digit of u? 8 Suppose 7*g - 12*g - 15665 = -v, 2*g = 0. What is the tens digit of v? 6 Let a(x) = -x**3 - 11*x**2 - 8*x - 5. Let d be a(-11). Suppose -86*m = -d*m. What is the units digit of m - (-81 + -1)*(4 - 2)? 4 Suppose 0*c - 2*c = -5*z - 17590, -4*c + 35180 = 3*z. What is the hundreds digit of c? 7 Suppose 5*h + z + 149 = h, -4*h - 5*z - 137 = 0. Let m = -18 + h. What is the units digit of (m/32)/((-2)/8)? 7 Let x = -6789 + 14658. What is the hundreds digit of x? 8 Let h be 0 + 2/8 - (-36)/(-16). Let u(t) = t - 8. Let o be u(h). Let m(x) = -x**2 - 14*x - 38. What is the units digit of m(o)? 2 Let d(u) = 4*u**2 - 2*u + 1. Let m be d(2). Let z be (m/13)/((-2)/(-22)). Suppose -12 = t - 3*t + j, t = -2*j + z. What is the units digit of t? 7 Suppose 7*a = -20 - 1. Let p(c) = -7*c + 26. Let q(j) = 6*j - 27. Let w(k) = a*q(k) - 2*p(k). What is the units digit of w(3)? 7 Let x be (1 - 95/20)*924/(-1). Suppose 0*l = 21*l - x. What is the tens digit of l? 6 What is the hundreds digit of (90/270)/(2/87966)? 6 Suppose -2635*u + 65160 = -2623*u. What is the tens digit of u? 3 Suppose 0 = 5*m - 4*g + 1162, 1165 = -5*m - g + 6*g. Let c = m + 1299. What is the units digit of c? 9 Let i be (-12 + 6 - -16)*278/4. Let b = i - -154. What is the units digit of b? 9 Suppose -3*u - 4*p + 16 = 0, 3*u + 0*u + 20 = 5*p. Suppose -2*f + u = -8. Suppose f*b + 22 = 146. What is the tens digit of b? 3 Let f(w) = -3384*w - 1725. What is the thousands digit of f(-10)? 2 Let z = -72 + 76. Suppose -30 = o + 5*v - 218, 0 = z*v + 20. Let p = 317 - o. What is the tens digit of p? 0 Let t(m) = 749*m - 44. What is the units digit of t(15)? 1 Suppose 14*w + b = 10*w + 22148, -3*w + 16626 = -3*b. What is the tens digit of w? 3 Suppose m - 4*b - 164 = 551, 6*m - 3*b = 4395. What is the units digit of m? 5 What is the ten thousands digit of (-20129)/((-30)/21 + -1*(-3)/7)? 2 Let t = -2072 + 839. Let a = t - -1768. What is the hundreds digit of a? 5 Let z = 3546 - -2947. What is the tens digit of z? 9 Suppose 5*q + 14*q - 38 = 0. Let g(l) = 129*l**2 + 10*l. What is the hundreds digit of g(q)? 5 Suppose -g - 8*g + 34552 = 5*g. What is the thousands digit of g? 2 Let u be (-1 + -5)*2661/(-18). Suppose 5*j - u = 4*r - r, 2*j - 338 = -3*r. Suppose 5*d + j = 1015. What is the tens digit of d? 6 Let g be -3*9/((-54)/(-20)). Let t be g + 7 - 3/((-3)/10). Let i(s) = -s**3 + 11*s**2 - 9*s - 14. What is the hundreds digit of i(t)? 1 Let l(t) = -t**3 + 32*t**2 + 85*t + 73. What is the units digit of l(26)? 9 Let n be (-4 - -6)*(1 - 42/12). Let g = n - -542. What is the hundreds digit of g? 5 Let a = -332 + 92. Let i = a - -622. What is the hundreds digit of i? 3 Suppose -9 = -3*h, 3*c + 2*h - 4*h = 3. Let i = c + 3. Let z(v) = v**3 - 3*v**2 - 8*v + 2. What is the tens digit of z(i)? 6 Suppose -4*r + 3*t = -2*t + 2, 0 = r + t - 4. What is the units digit of (-1)/r - (182/(-4) + -1)? 6 Let c(b) = 10*b - 23. Let q be c(2). What is the tens digit of 1/(10/15)*(-778)/q? 8 Let w = 14492 - 2719. What is the ten thousands digit of w? 1 Let o(k) = -2*k**2 - 22*k + 19. Suppose 3*j + 10 = -10*m +
{ "pile_set_name": "DM Mathematics" }
22 + -11? 10222001111 In base 3, what is -10210221 - 211212? -11122210 In base 14, what is 18ab - 1? 18aa In base 3, what is 110010010001210 + 10? 110010010001220 In base 13, what is 3 - -16b8? 16bb In base 11, what is 40 + 7761? 77a1 In base 2, what is 1011 + 1100010010010010? 1100010010011101 In base 6, what is -5022204 + 3? -5022201 In base 5, what is 2 + 121402? 121404 In base 14, what is -20b137 - -1? -20b136 In base 16, what is -8 - 9a? -a2 In base 16, what is -5 - -1d9d? 1d98 In base 9, what is -85 + 13187? 13102 In base 9, what is -34 - 218? -253 In base 15, what is 14b2 - a? 14a7 In base 5, what is -1 + -203342240? -203342241 In base 4, what is -3033130202 - -11? -3033130131 In base 10, what is 219 + 58? 277 In base 15, what is -e22c1 + 5? -e22bb In base 7, what is 13362 - 3? 13356 In base 12, what is -152 - -6457? 6305 In base 7, what is -3552322 - -2? -3552320 In base 3, what is -1101001 - -2221210? 1120202 In base 12, what is -83 - -10496? 10413 In base 8, what is 2446 - 11? 2435 In base 5, what is 212 - 222433? -222221 In base 15, what is -2 - 998? -99a In base 9, what is -114 + -33? -147 In base 14, what is 3071 + -12? 305d In base 10, what is -4 - 30616? -30620 In base 6, what is 42115 - -3? 42122 In base 8, what is -1 + 454657? 454656 In base 11, what is -15 + -12151? -12166 In base 15, what is -16c9 + 14? -16b5 In base 2, what is 1100001 - -11110110110? 100000010111 In base 3, what is 1210021 - -12120200? 21100221 In base 11, what is 4 - 394a6? -394a2 In base 10, what is 3237899 - 0? 3237899 In base 6, what is 221 - -35441? 40102 In base 15, what is -cb + 75? -56 In base 11, what is -380389 + 5? -380384 In base 7, what is -133 - -100? -33 In base 5, what is 103140 + -12400? 40240 In base 2, what is -10001 - 1110101010001? -1110101100010 In base 3, what is -20200 - -2222? -10201 In base 2, what is -110 - -100010101010110? 100010101010000 In base 8, what is 2543 + -22? 2521 In base 7, what is 53513 - 0? 53513 In base 15, what is 7 - 1133? -112b In base 7, what is 25421 + -121? 25300 In base 12, what is 4 - -4630? 4634 In base 9, what is -2878237 + 4? -2878233 In base 7, what is 34 - 231? -164 In base 2, what is -1100011000001 - -100111? -1100010011010 In base 3, what is -20021112102 - -10? -20021112022 In base 12, what is 166a5 - 0? 166a5 In base 3, what is 20002022 - 121? 20001201 In base 3, what is 22020 - -100222200? 101021220 In base 9, what is -2734 - 124? -2858 In base 2, what is -10000111100100110 - 1000? -10000111100101110 In base 9, what is 40 + 4254? 4304 In base 6, what is -4 - -2401140? 2401132 In base 3, what is -1021010112 + -1101? -1021011220 In base 6, what is -1 + 102433? 102432 In base 8, what is -22267 - 75? -22364 In base 16, what is b - 1c9bb? -1c9b0 In base 12, what is -15 - 921? -936 In base 4, what is 1332213 + -11? 1332202 In base 15, what is 144 - 3a? 109 In base 11, what is a5 + 349? 443 In base 14, what is -3 - 37359? -3735c In base 16, what is -2df5 - 3? -2df8 In base 16, what is -23 + 9e? 7b In base 9, what is -7136688 + 4? -7136684 In base 13, what is 1 + -2309a8? -2309a7 In base 10, what is -894 + -65? -959 In base 11, what is a181 + -5? a177 In base 15, what is -b515 - -1e? -b4e6 In base 12, what is -8a34 - 91? -8b05 In base 15, what is 0 + -10130? -10130 In base 13, what is -4 - 237ab? -237b2 In base 14, what is -5 - 5749a? -574a1 In base 15, what is 3 + 386e1? 386e4 In base 9, what is 26 + 4833? 4860 In base 5, what is 10 - -124131332? 124131342 In base 11, what is -a7 + -a368? -a464 In base 2, what is 10010111 + 11000011? 101011010 In base 6, what is -2 + 3155310? 3155304 In base 2, what is -100111110 - 100110001? -1001101111 In base 11, what is -5 + -2a82? -2a87 In base 10, what is -5827287 - 2? -5827289 In base 2, what is 101 - 11000101001101? -11000101001000 In base 10, what is 6192 - 18? 6174 In base 2, what is 11110101 + 101110011111? 110010010100 In base 2, what is -1000011 + -100100101? -101101000 In base 12, what is 1675 + -15b? 1516 In base 10, what is -9327 + -4? -9331 In base 4, what is 2013 + -3003? -330 In base 13, what is -4 + -2475? -2479 In base 11, what is 13570 - -10? 13580 In base 3, what is -1110210222102 - 0? -1110210222102 In base 7, what is -6 + 24560? 24551 In base 7, what is -416646 + 5? -416641 In base 13, what is 4 + -18a11c? -18a118 In base 5, what is -122443 + 4? -122434 In base 2, what is 10000011001111010 - 10? 10000011001111000 In base 5, what is 342 - -2032? 2424 In base 3, what is -21 + -2010011? -2010102 In base 11, what is -18638 - -82? -18566 In base 15, what is -4 + 3b042? 3b03d In base 8, what is 23441464 + -3? 23441461 In base 6, what is -21 - -104030? 104005 In base 9, what is -2441 + -177? -2628 In base 8, what is 54 + -3573? -3517 In base 11, what is 4533 + -113? 4420 In base 16, what is -5cfe2 + 4? -5cfde In base 3, what is -22 - 2221222222? -2222000021 In base 8, what is 30103 + 20? 30123 In base 6, what is -30 - 221234? -221304 In base 8, what is -2 - -76125? 76123 In base 2, what is 1100111011 - -110001011110? 111110011001 In base 7, what is -60566 + 2? -60564 In base 3, what is -1112 + 1222? 110 In base 6, what is 1010310 - 2? 1010304 In base 10, what is 3 + -32752? -32749 In base 7, what is -12111406 - -5? -12111401 In base 15, what is -110 + 11? -ee In base 9, what is 8 - -1727? 1736 In base 8, what is -14713 + -2? -14715 In base 5, what is 4121 + -12? 4104 In base 7, what is 212 + 62160? 62402 In base 10, what is -459 - -3309? 2850 In base 6, what is 15 + -112200? -112141 In base 7, what is 6004 + 1540? 10544 In base 10, what is -90 + -2505? -2595 In base 14, what is 311c + 25? 3143 In base 16, what is -2 - -beb7? beb5 In base 2, what is 1001010100100110 - 100? 1001010100100010 In base 14, what is -15 - -93? 7c In base 16, what is c60a - 0? c60a In base 16, what is -b + -ea9? -eb4 In base 9, what is -1322 + -414? -1736 In base 11, what is 1124 + 3? 1127 In base 9, what is -15487 - 10? -15507 In base 9, what is 3 - -41054? 41057 In base 14, what is -1 - 3215d? -32160 In base 12, what is -11 - 21819? -2182a In base 5, what is 133242200 - -1? 133242201 In base 3, what is -11 - -220121021? 220121010 In base 2, what is -11 - 10111000100000? -10111000100011 In base 16, what is 266880 - -1? 266881 In base 2, what is -101111000 - -1011011? -100011101 In base 4, what is 302 + -101021302? -101021000 In base 4, what is 10 + 112312232? 112312302 In base 10, what is 9852 - 153? 9699 In base 2, what is -10101 - 1110001? -10000110 In base 15, what is -13 - 697? -6aa In base 11, what is 13541 - 29? 13513 In base 10, what is -3 + 10010? 10007 In base 11, what is 2 - 32850? -32849 In base 4, what is -3 - 1012333? -1013002 In base 9, what is -1634 + -27? -1662 In base 2, what is -11111100111101000 + -1? -11111100111101001 In base 11, what is -2 - -231821? 23181a In base 16, what is -212c - -1? -212b In base 3, what is -1112102212 + 101? -1112102111 In base 13, what is 6 + 15989? 15992 In base 15, what is -1a509b - -4? -1a5097 In base 13, what is -3272 + -2? -3274 In base 7, what is 42426 + -11? 42415 In base 2, what is -1 + -10010010101100? -10010010101101 In base 7, what is 65 + 125663? 126061 In base 4, what is -11202122 - -23? -11202033 In base 3, what is 22 + -1200221202? -1200221110 In base 9, what is -1410680 + -3? -1410683 In base 9, what is 2 + 300008? 300011 In base 7, what is -132051 + -134? -132215 In base 11, what is 57488 + -2? 57486 In base 15, what is -21 - -4? -1c In base 8, what is -14563 + -4? -14567 In base 5, what is -231111 - -4? -231102 In base 5, what is 11233 + -22422? -11134 In base 7, what is 322662 + 15? 323010 In base 11, what is 1 - 233a9? -233a8 In base 3, what is -10 - -102102212? 102102202 In base 4, what is -1313 - -200133? 132220 In base 12, what is 41865 - 15? 41850 In base 9, what is 351 + -105? 245 In base 9, what is 186 - -4241? 4437 In base 2, what is 0 - 100101011101111? -100101011101111 In base 8, what is 64601 + -2? 64577 In base 10, what is 452737 + 5? 452742 In base 2, what is -1100111011001 + 110101? -1100110100100 In base 15, what is -6 - 2891e? -28925 In base 6, what is -424 - -324250? 323422 In base 6, what is -4022 - -320? -3302 In base 8, what is 47 - 45? 2 In base 16, what is 167 + 55? 1bc In base 5, what i
{ "pile_set_name": "DM Mathematics" }
t o, 1, 5, r in increasing order. o, 1, r, 5 Suppose -2*s + 3*s = 0. Let q be (-1 - s)*5/(-5). Suppose g + 11 = 14. Sort -4, q, -5, g. -5, -4, q, g Let r = 14 + -13.5. Let k be (7/(-21))/((15/(-3))/(-10)). Sort -4, r, 2/45, k in ascending order. -4, k, 2/45, r Let s be -1 + -2 + (-44)/(-16). Let a = -224 - -449/2. Put -0.5, s, 7, a in decreasing order. 7, a, s, -0.5 Let y be ((-4)/4 - 2) + 5. Let z(s) = 3*s + s**2 + 9*s - 27*s + 11*s. Let r be z(y). Sort r, 5, -5 in decreasing order. 5, r, -5 Let d = 2426 + -2430. Sort 1, d, 2, -6 in increasing order. -6, d, 1, 2 Let x = 1875.9 - 1826.9. Put 0, x, -6 in decreasing order. x, 0, -6 Let t = -67.16 - -0.16. Let f = 67 + t. Let p be 0 - 4/32*4. Sort f, 4/5, p in decreasing order. 4/5, f, p Let w = 3.44 + 233.56. Let x = 234 - w. Let y = -0.04 - 0.06. Put y, x, 2.7 in decreasing order. 2.7, y, x Let o = -10.29 + 4.95. Let k = o - -0.34. Let d be (-6)/4 - 116/(-88). Sort d, k, -0.1 in decreasing order. -0.1, d, k Let p(n) = 13*n**2 + 14*n + 11. Let g be p(-3). Let b = 20 + -25. Sort b, -4, g in descending order. g, -4, b Let g be (-8)/52 - 60/(-52). Let i be (3 - (0/g + 37)) + 1. Let b = 40 + i. Sort -2, 3, b in ascending order. -2, 3, b Let v be (-14 - 17) + 31 - 2/2. Sort v, -202, 3 in decreasing order. 3, v, -202 Let n be (-4)/(-6 + 2) - (-1 + 0). Suppose -5*m - 12 = 4*z, -m + n*m + 4*z - 4 = 0. Sort m, -1, -9 in descending order. -1, m, -9 Suppose 3*g = 4*i + 33 - 1, 3*i = 3*g - 27. Sort 2, i, -1, 5, -305 in decreasing order. 5, 2, -1, i, -305 Let q = 60 - 58. Suppose -4*g - 160 = 4*s, -q*g - 73 = 2*s - 7*s. Suppose 0 = v - l + 1, 0 = 3*v + 2*l - 17. Sort -5, g, v in decreasing order. v, -5, g Let l be ((-5)/((75/10)/(-15)))/(4 + -2). Sort 3, -20, l, 90, 1. -20, 1, 3, l, 90 Let v = 1.37 - 7.57. Let k = -6.2 - v. Sort 1, 2, k. k, 1, 2 Suppose -11*c + 46 = 24. Put 2/3, 1/16, 16, c in ascending order. 1/16, 2/3, c, 16 Suppose -h - 5*m + 7*m = -21, -3*m = 5*h - 66. Suppose 3*p + 5*f = -2, 2*p - 2*f - 3 = -h. Suppose -7*b + 4*b - 15 = 0. Sort p, b, 4, 1 in descending order. 4, 1, p, b Let q = 15.8 + -145.8. Let y = q - -130.3. Let o = 0 + -0.1. Sort o, -4, y in increasing order. -4, o, y Let u = -7496 + 29987/4. Put u, -55, 0.3, 4 in decreasing order. 4, u, 0.3, -55 Suppose 3*r + 113*f = 112*f - 67, 5*f = 40. Let h = -1 - -4. Put -4, r, h in descending order. h, -4, r Suppose 0 = -4*l - d + 30, -5*d = 5*l + 19 - 64. Suppose -y - 5 = -l. Let r = 25/48 - 1/48. Sort r, 0.3, y in ascending order. 0.3, r, y Let p = -3033 - -3039. Put 5, p, -4, -105 in descending order. p, 5, -4, -105 Let b = 116 + -469/4. Put -15, -2, b, 4 in decreasing order. 4, b, -2, -15 Let r(d) = -d + 14. Suppose 0 = 5*l - 33 - 17. Let k be r(l). Let t = 6 + -1. Sort t, k, 1 in descending order. t, k, 1 Let o = 926.68 - 927. Let v = -0.88 - -1. Let c = v + o. Put c, -0.5, -0.1, -4 in decreasing order. -0.1, c, -0.5, -4 Let j = 479/2 - 246. Let s = -96 - -674/7. Let b = -2 - -2.5. Put j, b, s in decreasing order. b, s, j Suppose -87*p = -72 + 158 + 175. Sort -5, -2, p, -28, 17 in decreasing order. 17, -2, p, -5, -28 Let i = -75234.3 + 75234. Let t = 0.02 + -0.02. Sort t, -62, i, 0.4. -62, i, t, 0.4 Let c = -4051.8 + 4052. Put -0.2, c, -5, 4.37 in descending order. 4.37, c, -0.2, -5 Let w be (0 + (-3)/4)/((-3)/12). Suppose -5*z = w*f + 1, 0*z - 10 = -2*f + 2*z. Sort 1, 0, -8, f in ascending order. -8, 0, 1, f Suppose -j - 8 = -2*r, -6 = -5*r + 2*j - 3*j. Let c = 5.2 + -10. Let y = -1.8 - c. Sort r, y, 0.1. 0.1, r, y Suppose 11*b = -8*b. Suppose 7*g + 5 = 2*g - j, 3*g - 2*j - 10 = b. Sort -5, g, -4, 5 in decreasing order. 5, g, -4, -5 Let c = 548.7 + 371.3. Sort 0, 4, c in descending order. c, 4, 0 Let p(f) = 515*f**2. Let z be p(1). Let w = z + -515. Sort -1, 4, w, 9 in ascending order. -1, w, 4, 9 Let a = -2.8847 + 2.9047. Let g be (-9)/(-3)*1 - 7. Put a, -1/2, 0.2, g in descending order. 0.2, a, -1/2, g Suppose -13041*m = -13050*m - 54. Sort -0.1, m, -0.68 in increasing order. m, -0.68, -0.1 Let l = 0.06 + 0.34. Let o(r) = r**3 - 5*r**2 + 12. Let p be o(3). Let q be (p/(-15))/((-6)/15). Sort q, 6, l in descending order. 6, l, q Suppose -2*k = 2*a - 5*k + 139, 0 = -5*a + 2*k - 375. Let o = -77 - a. Suppose o = -12*q + 13*q. Sort 4, q, 2, -3. -3, q, 2, 4 Let x(m) = -m**3 - 28*m**2 + 110*m - 35. Let b be x(-32). Put 2, b, -6, -1 in descending order. b, 2, -1, -6 Let p = 1739 - 1738.7. Put -1, -42, p, -0.4 in descending order. p, -0.4, -1, -42 Let w(t) = -9*t**3 + 8*t**2 + 3*t + 3. Let p be w(-3). Let s = -312 + p. Let m = -7 - -6. Put 4, s, 2, m in descending order. 4, 2, m, s Let b = -2385 + 2386. Sort b, 17, -1.8 in increasing order. -1.8, b, 17 Let l be 0 - (-10)/85 - 1827/357. Let s = -13 + 30. Suppose 0 = 5*j - 4*f - s + 82, 3*j - 4*f + 39 = 0. Sort j, 5, 3, l in descending order. 5, 3, l, j Let h = -1186 + 1213. Sort 6, -1, h in descending order. h, 6, -1 Suppose 9838 = -29*u - 2255. Put -5, u, 4 in descending order. 4, -5, u Suppose 0 = 13022*m - 13028*m - 24. Sort -27, -6, m in ascending order. -27, -6, m Let h be (-14)/(-38)*(2046/154 - 13). Sort 1, 0.4, h, -0.1, 4/5 in decreasing order. 1, 4/5, 0.4, h, -0.1 Let w = -108 - -129. Suppose -3*o + w = 66. Put 2, o, -4 in ascending order. o, -4, 2 Let l = 10.02 + -10. Let s = l + 0.01. Let y = -3.04 - -3.54. Sort s, 5, y in descending order. 5, y, s Let t be 5/(-20) + (289/4 - 2). Suppose -18*p = -13*p - t. Let z be -1 - (4 + p/(-2)). Sort 1, z, 4, -3 in descending order. 4, z, 1, -3 Suppose 0 = -66*p + 65*p - 4*i - 17, -4*p + i + 17 = 0. Put 8, p, -5, -1/4 in decreasing order. 8, p, -1/4, -5 Let c = 5 - 0. Let t(m) = -22*m + 86. Let n be t(6). Let f = 45 + n. Sort -5, c, 0, f. -5, f, 0, c Let t = -2 - 5. Let a(w) = 284*w - 9366. Let r be a(33). Put t, 4, -5, r in decreasing order. r, 4, -5, t Let h = 14627 - 14629. Let r(o) = -o**2 + 12*o + 6. Let y be r(13). Let x = 8 - 6. Sort 5, y, h, x. y, h, x, 5 Let r be 1 + 104/(-120) + (-85)/75 + -2. Let m = -1 - 3. Let h be 10/(4 + 2 + -4). Put m, r, h, -2 in decreasing order. h, -2, r, m Suppose 0 = -m + 3*m. Let q = m + 1. Let j = 101460 + -101463. Sort -11, j, q in increasing order. -11, j, q Let w = -797.1 + 796.97. Sort 3/10, w, 0.07. w, 0.07, 3/10 Let r = 224 - 240. Let u be (-1)/((-2)/3*8/r). Put u, 4, 3 in increasing order. u, 3, 4 Let q be 5/((-20)/4) + -3. Suppose 9*y = 111 - 138. Sort q, 1, 0, y. q, y, 0, 1 Let c = 7 + -10. Suppose 0 = -q, -r + 2*q - 10 = -6*r. Let s be -6*r/(-30) + 21/(-15). Put 0, c, s in decreasing order. 0, s, c Let s(t) = 3*t - 2. Suppose 0*h + 10*h = 10. Suppose h = -4*y + 5. Let r be s(y). Put -0.1, 4/7, r in decreasing order. r, 4/7, -0.1 Let x = -24521 - -24210. Sort -3, -4, x, -3/4 in increasing order. x, -4, -3, -3/4 Let s = 456 - 452. Let p = -4.8 + 6.8. Put 1/2, -2, p, s in descending order. s, p, 1/2, -2 Let h(m) = 1 - 4 - 7*m**2 + 3*m**2 + 5*m - m**3. Let t be h(-5). Let z be (-2 - 0)*2 + 10/(100/30). Sort z, 3, t, 0 in descending order. 3, 0, z, t Let b = 1 + -1. Suppose -17614 = 5*z - 17584. Let h be ((-12)/(-5))/z + b. Put -2/25, h, 5 in decreasing order. 5, -2/25, h Let m(a) = a**3 + 9*a**2 + 7. Let x be m(-7). Suppose 20*v = 25*v - x. Suppose 0 = -3*c + 10*c + v. Sort 8, -2, c in decreasing order. 8, -2, c Let k = -9 - 5. Let g be (-3)/(1*(-3)/16). Let l = -14 + g. Sort 1, k, l in decreasing order. l, 1, k Suppose 2*o + 3*i = 13, -1621 = 2*o - i - 1614. Sort 10, 34, o in increasing order. o, 10, 34 Let a(z) = z**2 + 21*z + 40. Let q be a(-19). Suppose 4*c - 5 = 4*u + 67, -4*c = -5*u - 91. Put 0, q, u in decreasing order. q, 0, u Let q = -6098 + 6094.823. Let s = 0.177 + q. Let v = -314/5 + 63. Put 0, v, s in ascending order. s, 0, v Suppose -j - 29 = 5*v, 52 = 2*j + 3*v + 75. Put -1, 5, 0, j, -13 in ascending order. -13, j, -1, 0, 5 Let t = 952 + -953. Let x = -119 + 123. Put -3, x, t, 6 in ascending order. -3, t, x, 6 Suppose 4*b - k = 5 + 7, -b = 3*k - 16. Suppose 5*i = 2*i - 3*a + 57, 4*a = 3*i - 36. Let y(z) = -3*z + 37. Let g be y(i). Put g, b, 0 in decreasing order. b, 0, g Let q = 4.221 + 5.779. Put 0.3, -28, q, -0.3 in ascending order. -28, -0.3, 0.3, q Let b be (195/156)/(10/(-16)). Sort 18, -4, 4, b in increasing order. -4, b, 4, 18 Let j(g) = -g - 162. Let z(l) = l + 108. Let p
{ "pile_set_name": "DM Mathematics" }
value in 2, -1, h? -1 Let f = 58.03 + -59. Let a = 0.03 - f. Let w be (-3 - 0)*2/(-9). What is the second smallest value in w, a, 0? w Let f = 87/230 + 1/46. What is the biggest value in f, -0.5, -3? f Let o be 75/21 + 4/(-7). Which is the biggest value? (a) -2/7 (b) -0.2 (c) o c Let h = 4.9 + -5.9. Let u = 1 - 3. What is the third biggest value in h, u, -0.1? u Let q = 0.02 - 1.02. Which is the third biggest value? (a) 1/3 (b) q (c) 0.1 b Let u = -0.07 + 5.07. Which is the biggest value? (a) 1 (b) u (c) 0.4 (d) -5 b Let l = -11 - -6. Let p = -2.9 - -0.9. Which is the biggest value? (a) 0.5 (b) p (c) l a Let l = -2.58 + 2.7. Which is the smallest value? (a) l (b) -0.2 (c) -1/8 b Let g = 2 - -3. Suppose -2*o - 2*o = -12. Let v = -1 + 1. What is the second smallest value in g, o, v? o Let t(l) = -l**2 - 5*l - 5. Let z be t(-5). What is the third biggest value in 5, z, -3? z Let l be 1/(-3) + 1/9. Let x(t) = t**2 - 10*t + 10. Let i be x(8). Let r be ((-4)/i)/(16/24). Which is the third biggest value? (a) r (b) 0.1 (c) l c Let r = -55 - -55. Which is the second biggest value? (a) 2/11 (b) -3 (c) r c Let k = -2.8 - -2.3. What is the biggest value in -0.1, k, 10? 10 Let g = 0.13 - 0.23. What is the second smallest value in g, 3, -4? g Let u be 7/(-5) - 0 - -1. What is the second smallest value in -0.06, u, 5? -0.06 Let g = -101 + 305/3. Which is the third smallest value? (a) g (b) 3 (c) 1/6 (d) 1/8 a Let d = -69 - -70. Suppose 5 = 2*r - r. Which is the smallest value? (a) d (b) r (c) 3/5 c Let b = -0.03 - 0.57. Let t = b + 0.1. What is the biggest value in -0.3, t, 2? 2 Let x = -9 + 18. Let a = x - 11.8. Let f = a - 0.2. What is the third smallest value in -3/7, 3, f? 3 Let l = -257/2040 + 1/120. Which is the second biggest value? (a) l (b) -0.3 (c) 1 a Let f = 0.08 + -1.33. Let y = f - 0.05. Let w = -0.3 - y. What is the third smallest value in 0.3, w, 5? 5 Let h = -0.6 + 2.6. What is the smallest value in -1/8, h, 0.09? -1/8 Let y = 454/5 - 91. Let f be (0 + 3/(-2))/3. Let l be ((-4)/6)/(10/(-6)). What is the second biggest value in y, l, f? y Let q = 1 + -8. Let r = 5 + q. Let p = r + 1.6. Which is the third smallest value? (a) -0.1 (b) p (c) 0.2 c Let w = 0.22 - 0.62. What is the second smallest value in 0.1, -2/15, 0, w? -2/15 Let u = -4.06 + 4. Let r = u + 0.16. Let g = -4 + 4. Which is the smallest value? (a) g (b) 0.5 (c) r a Let v = 0.41 + -0.01. Let t = 0.7 - v. Which is the biggest value? (a) -5 (b) t (c) -0.2 b Let v(n) = 2*n**2 - 6*n - 4. Let m be v(3). Which is the biggest value? (a) 1 (b) 3 (c) m b Let x = -31 + 34. Which is the biggest value? (a) -1 (b) -10 (c) x c Let n be 3/10*-5*10/75. What is the second smallest value in -0.3, n, -0.4, -1/6? -0.3 Let x = -3 - 1. Let w be 1/5 - (-14)/(-20). Suppose -2*r + 5*f + 3 = -0, f = r. What is the second biggest value in r, w, x? r Let x = 1.79 - -0.21. What is the third biggest value in x, 0.1, -0.09? -0.09 Let n = -18.7 - -19. Let t = -0.6 + 0.1. Let i = 0.1 + t. Which is the third biggest value? (a) n (b) i (c) 2 b Suppose 0 = -5*m + 2*d - 4, -d = -m - 4*d - 11. What is the biggest value in m, -0.3, -14? -0.3 Let p = 0.08 + -3.08. Let c = -2 + 2. Let m be (-15)/28 + (-1)/(-4). What is the second smallest value in p, c, m? m Let x = 0.02 - 0.16. Let q = x + -0.36. Let l = -0.37 + 0.07. What is the biggest value in l, 1/2, q? 1/2 Let k be 13836/99 - (-2)/(-3). Let g = k - 139. Which is the biggest value? (a) 0.5 (b) -1/7 (c) g a Let y = -15 - -11. What is the smallest value in 3/2, -0.23, y? y Suppose 2*f - 4 = l, 4*f = 3*f - 5*l + 13. Suppose 0 = 2*p + 4 + 8. Let s be (p/(-9))/((-8)/9). What is the biggest value in 5, f, s? 5 Let y = -0.05 + 5.05. Let u be -68*17*(-3)/12. Let q = -2027/7 + u. Which is the biggest value? (a) y (b) 4 (c) q a Let z = -26/17 - -24/17. What is the smallest value in -8, z, 0.3? -8 Suppose -2*y = 4*z - 8, -6*y = -2*y + 5*z - 4. Let j be (-1)/y*(-80)/50. Which is the second biggest value? (a) 5 (b) 1/4 (c) j b Let l = 1 + 1. Let x(u) = u + 3. Let k be x(-2). Let i = 1 - k. Which is the smallest value? (a) i (b) l (c) -2 c Let i = -48.4 - -48. Let r = 9 - 3. Let t(x) = -x**3 + 5*x**2 + 7*x - 2. Let w be t(r). What is the second smallest value in w, i, -4? i Let q = 36 - 36.3. What is the third smallest value in -0.11, -3, q, 0.03? -0.11 Let t = -2 + -2. Let q(s) = -4*s**2 - 4*s + 2. Let u be q(-4). Let l = 600/13 + u. Which is the smallest value? (a) l (b) 2 (c) t c Let g = -4.3 + 3.8. What is the second biggest value in 9, 4, g? 4 Let b = -77 + 76. What is the fourth smallest value in b, 2, 1/2, -9? 2 Let k = 4 - 11. Let i = k - -7. Which is the biggest value? (a) -0.5 (b) i (c) 0.2 c Let u = -4.2 - -0.2. Which is the biggest value? (a) -1 (b) 1 (c) u b Let s = -14.2 - -14. Let p = 0.1 - -0.1. Let x = p - s. What is the second smallest value in 2, x, -2/5? x Let u(s) = -s**3 + s - 6. Let d be u(0). Let f be (3 + -2 - d)*-1. What is the third biggest value in -0.4, f, 4? f Let l = -2.6 + 4.6. Which is the fourth biggest value? (a) 0.3 (b) 3/2 (c) l (d) 5 a Let z be -1*((32/(-3))/4 - 0). Which is the second smallest value? (a) -0.1 (b) z (c) 0.1 c Let r(z) = -11*z**2 + z - 27. Let q(g) = 5*g**2 + 13. Let d(k) = 13*q(k) + 6*r(k). Let u be d(7). Which is the smallest value? (a) u (b) 1 (c) -3 c Let d = -3 + 5. Suppose d*i = -i - 15. Let w be -1 + 1 - (-30)/10. What is the smallest value in i, 2, w? i Let s be 10/(-15) + 1 + (-4)/21. What is the biggest value in s, -5, 6? 6 Let q = -0.95 + -0.05. Let i = -0.5 - q. Which is the third biggest value? (a) 2/7 (b) i (c) -0.2 c Let a = 9 - 15. Let x = -1 - a. Let s = -1 - -0.6. What is the third smallest value in s, 0, x? x Let x = 0.2 - -0.3. Let y = x - 0. Let o = -74 + 74.3. What is the third biggest value in o, -5, y? -5 Let s = 641/5 - 128. What is the fourth smallest value in 0.4, -5, -1/4, s? 0.4 Let m = -3.89 + -0.11. Let o = m - -4. Let f be (-3 - 51/(-12))*(-2)/(-5). What is the second biggest value in -2/9, f, o? o Let l be 3/(-3) - (-1)/1. Let u = l - -5. What is the biggest value in 0, 3, u? u Let i = -11 - -14. Suppose -n = -2*n. What is the second biggest value in n, -0.5, i? n Let p be 54/(-15) + (-8)/20. What is the third smallest value in -0.1, 0.1, p? 0.1 Let f = -0.7 + 0.2. Let n(u) = -u + 4. Let k be n(4). Suppose k = 4*j - 4*x, 3*x = -3*j + 5*j - 4. Which is the second smallest value? (a) j (b) f (c) -5 a Let a be (6/2 - (-43)/(-14))/(-2). What is the third smallest value in 1/8, -1/3, a? 1/8 Let u be (-10)/21 + 17/119. Which is the smallest value? (a) -7 (b) -1/8 (c) u a Let j be (0 - 0/(-3))/(-1). What is the fourth smallest value in 0.4, j, -4/5, 4? 4 Let k = 38.04 - 37. Let t = k - 0.04. What is the second smallest value in 5, 2, t? 2 Let u = -0.3 + 0.1. Let c be (-65)/(-68) + (-5)/20. Let z = c - 128/85. What is the second smallest value in u, z, 3? u Let w(q) = -q**3 + 7*q**2 + 1. Let z be w(7). Let x be z/(2 - (-42)/(-20)). Let i be (-4)/(-20)*x/8. Which is the biggest value? (a) -5 (b) -1 (c) i c Let z = 4 - -0.5. Let i = 4 - z. What is the second biggest value in i, -3/2, 2? i Let j(g) = g**2 - 6*g - 7. Let f be j(7). Let h be -2 - ((-208)/321 - f). Let i = h - -2/107. Which is the second biggest value? (a) 0.2 (b) i (c) 0.3 a Let l = -20.1 - -20. Which is the second smallest value? (a) 0 (b) l (c) -0.5 b Let y = -3.67 - -0.67. Let l be 2/(-4)*(1 + 3). What is the third smallest value in y, 1/3, l? 1/3 Let v be (3 - -1)*(-2)/(-44). Let c = 0.26 - 10.26. Let k = -14 - c. What is the second smallest value in k, v, -2/3? -2/3 Let o = -21 + 22. What is the biggest value in 0.5, -0.4, o? o Let p = -0.1 + 0.6. Let y be (4 - -1)*6/15. Let t be (-3)/45 - y/6. Which is the smallest value? (a) t (b) -4 (c) p b Let p = -2.8 + -0.2. Let g = 0.7 - 0.8. What is the biggest value in g, -0.2, p? g Let a = -446667599/31071 - -420/10357. Let g = a + 14245. Let z = 132 + g. What is the second biggest value in 2/7, -0.3, z? 2/7 Let u = 1/59 + 173/236. Let x = -5 + 4. Which is the third smallest value? (a) 1/2 (b) u (c) x b Let f = 4 + 2. Let c = -8.5 - 1.5. Let p = f + c. What is the smallest value in 5,
{ "pile_set_name": "DM Mathematics" }
fferentiate -5*f**3*l**2*w**2 + 976*f**3*l**2 - 536*f**3*w**2 - 18*f*w**2 with respect to l. -10*f**3*l*w**2 + 1952*f**3*l What is the third derivative of -3799*p**3*y - p**2*y - 86*p*y + 2*y + 2 wrt p? -22794*y What is the derivative of 21*h**3 + 26*h**2*i**2*k**2 + 873*i**2*k**2 wrt h? 63*h**2 + 52*h*i**2*k**2 Find the second derivative of -1092*o**4*z - 2*o**3*z**2 + 14*o*z**2 + 39*o*z + o wrt o. -13104*o**2*z - 12*o*z**2 Differentiate -6*m**4 - 135*m**3 - 68. -24*m**3 - 405*m**2 What is the second derivative of 93*v**3*z**3 - 2*v**3*z**2 - 21*v*z**3 - 34*z**3 wrt v? 558*v*z**3 - 12*v*z**2 Find the third derivative of 1577*y**6 + y**2 + 711. 189240*y**3 What is the first derivative of -2*l**2*s - 41*l**2 - 2*l*s + 4*l + 341*s - 8 wrt l? -4*l*s - 82*l - 2*s + 4 What is the second derivative of 1766*g**3*m**2 - g**3 - 143*g**2*m wrt m? 3532*g**3 Find the second derivative of 2*d**3*x**2 - 2*d**2*x**3 + 2*d**2*x - 2*d*x**2 + 2*x**3 + 15*x**2 wrt d. 12*d*x**2 - 4*x**3 + 4*x Differentiate -278*l + 47 wrt l. -278 Find the third derivative of 1175*b**6 + 2*b**3 + 2506*b**2 wrt b. 141000*b**3 + 12 Find the third derivative of -598*y**5 + 226*y**2 - y wrt y. -35880*y**2 Find the second derivative of 2*x**5 + 346*x**4 + x**3 + x + 3177 wrt x. 40*x**3 + 4152*x**2 + 6*x What is the third derivative of -2*t*w**4 - 170*t*w**2 - 27*w**4 wrt w? -48*t*w - 648*w Differentiate 274*c*s - 61*c + 11*s + 39 wrt s. 274*c + 11 What is the second derivative of 94*i**4*j + i**2*j**3 + 4*i**2*j + i - 1252*j**3 + 1 wrt i? 1128*i**2*j + 2*j**3 + 8*j Find the second derivative of -j**2*v**3 + 6*j**2*v - j**2 - 2*j*v**3 + j wrt v. -6*j**2*v - 12*j*v What is the derivative of 5*o**4*w**2 - 16*o*w**3 + 46*w**3 - 3*w**2 wrt o? 20*o**3*w**2 - 16*w**3 Find the third derivative of -3264*r**3 - 99*r**2 - r wrt r. -19584 Find the first derivative of 11*s**2 + 5*s + 4856 wrt s. 22*s + 5 What is the third derivative of -6*g*q*y**4 - 3*g*q - 3*g*y**4 + 6*g*y**2 - 62*g*y + 177*q*y**4 + q*y**2 + q wrt y? -144*g*q*y - 72*g*y + 4248*q*y Find the second derivative of 2*k**4*z - 179*k**3*z + 2*k**2 - k*z - 76*k - 2*z - 1 wrt k. 24*k**2*z - 1074*k*z + 4 What is the derivative of 4850*r**2 - 8005 wrt r? 9700*r What is the first derivative of 2*k**2*n**3 - 2*k**2 - 669*k*n**3 + 11619*n**3 wrt k? 4*k*n**3 - 4*k - 669*n**3 What is the second derivative of a**3*h - 14*a**3*y**2 - 2*a**3 + 3*a**2*h*m*y + 2*a*h*m*y**2 - 22*a*h*m*y + 3*m*y**2 + 2*y**2 wrt y? -28*a**3 + 4*a*h*m + 6*m + 4 What is the derivative of -a**3*v + a**3*w - 2*a**2*c*v - 2*a**2*c*w - 2*a**2*c + 40*a**2*v*w - 14*w wrt v? -a**3 - 2*a**2*c + 40*a**2*w Differentiate 341*q*r**3 - q*r**2 - q*s - 50*r**3*s - r**3 + 2*r**2*s - s - 2 with respect to s. -q - 50*r**3 + 2*r**2 - 1 What is the first derivative of 2*d**3*f**2 - 77*d**3 + 2*d**2 - 11*d*f + 2*f**2 wrt f? 4*d**3*f - 11*d + 4*f Differentiate -9*a**2*x - 9*a*x**2 + a + 176*x**2 wrt a. -18*a*x - 9*x**2 + 1 What is the third derivative of -2403*b**6 - 1871*b**2? -288360*b**3 Find the third derivative of -2*h**4*y + 3*h**4 + 3*h**3*y + 27*h**3 + 4*h**2 - 1320*h*y wrt h. -48*h*y + 72*h + 18*y + 162 Find the first derivative of 3*c*u**2 - 2*c*w + 30*u**3*w - 4*u*w**3 + 2*u + 2*w**3 + 54*w**2 wrt u. 6*c*u + 90*u**2*w - 4*w**3 + 2 What is the third derivative of 146*x**4 + 604*x**2? 3504*x What is the third derivative of -974*g**6*i**2 - 12*g**2*i**2 - g**2 + 3*i**2 wrt g? -116880*g**3*i**2 What is the second derivative of 83*l**3*n*x - l**3*n + 2*l*n - 3*l*x + 39*n wrt l? 498*l*n*x - 6*l*n Differentiate -3*c**2*d*t**3 - 2*c**2*d*t - 20*c**2*t**3 + 2*c**2*t + 3*c*t**3 + 9*d with respect to d. -3*c**2*t**3 - 2*c**2*t + 9 Find the second derivative of 2*b**4 + 10*b**3 + 51*b + 2 wrt b. 24*b**2 + 60*b What is the third derivative of -4*b**3*m**2*z**2 + 732*b**3*m*z**2 + 584*b**2*m**2*z**2 - b**2 - 6*b*m**2*z**2 wrt b? -24*m**2*z**2 + 4392*m*z**2 Find the second derivative of -1782*a**5 - 1723*a wrt a. -35640*a**3 Differentiate -22*h**2*n*w + 6*h**2*w - 2*h**2 - 60*h*w - 19*n*w wrt n. -22*h**2*w - 19*w Find the first derivative of 12*v + 400 wrt v. 12 Differentiate 19*m**4*z + 12*m**2*u*z**2 - m*u**3 - 12*u**3*z + 25*u*z**2 wrt m. 76*m**3*z + 24*m*u*z**2 - u**3 Find the third derivative of -980*j**3 + 17*j**2 + 81*j wrt j. -5880 Find the second derivative of f**3*o**2 + 3*f**3 + 132*f**2*o**4 + 206*o wrt o. 2*f**3 + 1584*f**2*o**2 What is the third derivative of -2*i**2*k**3 - 31*i**2 + 2*i*k**3 - 8*i*k**2 - 3*k**3 + k**2 wrt k? -12*i**2 + 12*i - 18 Find the first derivative of -823*h**4 - 2*h**3*u - h*u + u + 1396 wrt h. -3292*h**3 - 6*h**2*u - u What is the first derivative of 5*d**2*k + d**2*m - 5578*d**2 + 2156*k*m - m wrt k? 5*d**2 + 2156*m What is the second derivative of 3199*g**2 - g - 946 wrt g? 6398 What is the second derivative of -d**3 - 47*d**2 + 4*d - 17? -6*d - 94 Differentiate -53*b*m**2*p*w - b*m**2*w - 10*b*m**2 - 6*b*p - 2*b*w + m**2 wrt p. -53*b*m**2*w - 6*b Find the third derivative of -101*n**3*o**3*w**3 - 4*n**3*o**2*w + n**3*x**2 + 10*n*w**3*x**2 + 5*o**3*w**3*x**2 + o*w**3 wrt o. -606*n**3*w**3 + 30*w**3*x**2 Find the third derivative of 164*i**5 - 39*i**4*u**2 - 3*i**2*u**2 + i**2 + 17*i*u**2 - 2*i wrt i. 9840*i**2 - 936*i*u**2 Find the second derivative of -987*w**4 - 418*w - 3 wrt w. -11844*w**2 Find the second derivative of l**5 + l**2*w + 2*l**2 + 170*l*w wrt l. 20*l**3 + 2*w + 4 What is the derivative of -2*n*v**2 - 8*n*v*y + 9*v**2*y**3 - 37*v**2 - y**3 wrt y? -8*n*v + 27*v**2*y**2 - 3*y**2 Find the second derivative of 2*u**5 - 210*u**3 - 19*u + 5. 40*u**3 - 1260*u Find the third derivative of 57*s**5 - 6*s**3 + 5*s**2 + 171. 3420*s**2 - 36 What is the derivative of 14*i*j**2*q + 2*i*j**2*z + 10*i*q*z + j**2*q**3 + 2*j**2*q - 7*q**3*z wrt z? 2*i*j**2 + 10*i*q - 7*q**3 Find the second derivative of 7*g**5*r**3 - 63*g**3*r**2 - g*r**3 - 688*g*r wrt g. 140*g**3*r**3 - 378*g*r**2 What is the third derivative of 2*b**3*i*s*t - 3*b**3*i*s + 14*b**3*i*t + 2*b**2*i*t + 2*b**2*t - 24*b*i*s + b*t wrt b? 12*i*s*t - 18*i*s + 84*i*t What is the derivative of 2*f**3 + 464*f**2 + 2084? 6*f**2 + 928*f Find the first derivative of -608*v - 283. -608 Find the third derivative of 2*b**5 + 5*b**4 - 41*b**3 + 13*b**2 + 3*b + 29 wrt b. 120*b**2 + 120*b - 246 Find the second derivative of 745*u**4 + 5*u + 993. 8940*u**2 Find the second derivative of 529*i**2 + 2*i + 607. 1058 Find the third derivative of 6*b**3*n**2*s**3 + 25*b**3*n**2*s**2 + b**2*s + 16*n**2*s**2 + 3*n*s**3 wrt b. 36*n**2*s**3 + 150*n**2*s**2 Find the first derivative of 19*h**3*i - 19*h**3 wrt i. 19*h**3 What is the second derivative of -182*q**3 - 44*q - 2 wrt q? -1092*q Find the third derivative of -2609*f**3 + f**2 - 91*f wrt f. -15654 Find the third derivative of 294*c**3*q**2*z**3 - 720*c**3*q - 3*c**3*z**3 - 2*c**2*q**2*z**2 - c*q**2*z wrt z. 1764*c**3*q**2 - 18*c**3 Find the second derivative of 2*f**4 - 27*f**2 - 15*f - 4. 24*f**2 - 54 Find the first derivative of v**2*x**2 + v**2 + 967*v*z**2 + 959*x**2*z - z**2 wrt v. 2*v*x**2 + 2*v + 967*z**2 What is the third derivative of 4*m**5 - 139*m**4 - 2*m**2 - 1268 wrt m? 240*m**2 - 3336*m What is the second derivative of c*m**3 - 4*c*m**2 + 9*c*m + c - 32*m wrt m? 6*c*m - 8*c Differentiate 147*i**2*s**4 - 3*i**2*s**2 + 10*i**2 + 465*i - 3*s with respect to s. 588*i**2*s**3 - 6*i**2*s - 3 Find the second derivative of -15657*u**4 - 2798*u wrt u. -187884*u**2 What is the second derivative of 438*i**2 - 22*i - 2 wrt i? 876 Find the second derivative of -11*f**3*z**2 + f**3 - 103*f**2*z + 9*z**5 wrt z. -22*f**3 + 180*z**3 What is the first derivative of 6*q*r*t + 1019*q*t - 5*q + 1782*r wrt t? 6*q*r + 1019*q Find the third derivative of -2*f**4*w - f**4 + 23*f**3*w + 3*f**2*w - 31*f**2 - 5*w wrt f. -48*f*w - 24*f + 138*w What is the third derivative of -h**4*p*u - 7*h**4*u*v - h**3*p*u - 83*h**2*p*u + 17*u*v wrt h? -24*h*p*u - 168*h*u*v - 6*p*u Find the second derivative of -2062*b*i**3 - 13*b - 42*i wrt i. -12372*b*i What is the derivative of -t**3*u + 335*t**3 + 19*t**2*u**2 - 8*u**2 wrt u? -t**3 + 38*t**2*u - 16*u Find the second derivative of 26*d*r**4 + 2*d*r*x - 12*r**4*x + 595*r*x + 2 wrt r. 312*d*r**2 - 144*r**2*x Differentiate -2688*b**4 - 6574
{ "pile_set_name": "DM Mathematics" }
et g be s(4). Let t = g - -9. What is the lowest common multiple of t and (4/6)/((-2)/(-66))? 176 Let i be 3 + -3 + (-2)/38. Let x be (-205)/190*4/13. Let y = i + x. Find the common denominator of y and -20/11. 143 Let y = 17204 + -11726. Suppose -5*k - y = -2*k. Let r = k + 20101/11. What is the common denominator of r and -44? 11 Let a be ((-60206)/(-24))/(1 + 0). Let x = a - 2506. What is the common denominator of 58/(-8) + (-6)/(-4) + -1 and x? 12 Suppose -456 = -7*l - 12*l. What is the lowest common multiple of l and 60? 120 Suppose 5 = 5*x, -3*x + 7 = -h + 10. What is the least common multiple of h and 724? 2172 Let s(a) = -a**3 - 4*a**2 - 12*a + 4. Let u be s(-4). Let n = -20 + 163/8. Calculate the common denominator of -35*(4 + u/(-12)) + -1 and n. 24 Let f(y) be the first derivative of -5*y**2 - 10*y - 13. Calculate the smallest common multiple of f(-3) and 18. 180 Let x = -27137 + 488591/18. Let a = 4 + -6. What is the common denominator of x and 6/(a + (-42)/9)? 90 Suppose -3*z = c - 52, -45*z + 43*z + 56 = c. Calculate the smallest common multiple of 6 and c. 192 Let u(x) = -2*x**2 + 2*x + 26. Calculate the lowest common multiple of 11 and u(0). 286 Let n(a) = 8*a**2 - 7*a - 8. Let p be n(-3). Let v = p - 365/4. Calculate the common denominator of v and 338/(-30) - 4/(-6). 20 Suppose -11*f = 160 - 523. What is the least common multiple of f and 27? 297 Let f(p) = -p**3 + 7*p**2 + 9*p - 10. Let s be f(4). Let c = s - 58. What is the least common multiple of 7 and c? 112 Let n = -2404/3 - -785. Calculate the common denominator of n and -68/9. 9 Let k(n) = -15*n - 132. What is the least common multiple of 33 and k(-11)? 33 Suppose 2*q + 4*q - 252 = 0. Suppose -3*u = -a + 24, -4*u - 1 = -5. Calculate the smallest common multiple of a and q. 378 Let b(z) = -107*z**2 + 1. Let h be b(1). Find the common denominator of (-378)/(-8)*1032/(-6020) and h/10*(-10)/(-4). 10 Suppose -4*z + 9*z + 2*g = 100, -g = -2*z + 40. What is the lowest common multiple of 34 and z? 340 Suppose 3*o - 4*i + i = -3429, 4*o - 3*i = -4571. Let y = 20563/18 + o. What is the common denominator of y and ((-4)/(-30))/(24/2235)? 36 Let u = 264/85 + -1419/1360. Let h = -115/22 - -96/11. What is the common denominator of h and u? 16 Suppose -4*z = z - 2820. Calculate the lowest common multiple of z and 11. 6204 Let k = -99 + 103. What is the common denominator of 131/12 and (29*2/8)/((-2)/k)? 12 Suppose 5*k + 0*k = 60. Let y = 3 + 7. Calculate the least common multiple of k and y. 60 Let y(f) = f**2 + 13*f - 11. Let k be y(-13). Let s = k - -13. What is the least common multiple of s and 2? 2 What is the common denominator of 7/(-4) + 1432/224 and 111/14? 14 Suppose -4 = 2*r - 0. Find the common denominator of (-1 + r - 32)/(-6) and -5/46. 138 Let f(s) = 29*s - 139. What is the least common multiple of 88 and f(7)? 704 Let b = 19 - 13. Let a = -1346 + 1349. What is the smallest common multiple of a and b? 6 Suppose 5*z + 75 = -5*x, -63 = 3*x + x + z. Calculate the least common multiple of -6*(16/18)/(x/24) and 32. 32 Calculate the smallest common multiple of (268/7)/(-22 - (-11580)/525) and 10. 670 Let r(s) = -2*s - 11. Suppose -4*b + 25 = 229. Let h be (-1)/(b/18 - -3). What is the least common multiple of 10 and r(h)? 10 What is the least common multiple of 156 and 2 - (-1200)/35 - (-2)/(-7)? 468 Calculate the common denominator of 64/165 and (-9)/(-3) + 3 + (-37 - -6). 165 Suppose -m = -3 - 3. Suppose -m*q = -5*q - 2. Let x = q - -7. What is the least common multiple of x and 9? 9 Calculate the least common multiple of 176 and -88*((-247)/26 + 7). 880 Suppose -4*z - 10 = -m, -3*m + 2*z = -2*m - 8. Suppose -c + 4*b = m, -3*c + 33 = -0*b + 5*b. Let o = c + -1. What is the lowest common multiple of 7 and o? 35 Suppose 4*v = -v + 25. Suppose -k - 18 = 2*n + 3*n, 2*k - 3*n - 29 = 0. Suppose -2*q + g = -3*q + k, 4*g = 16. What is the smallest common multiple of q and v? 15 Let v(i) = i**2 + 18*i - 18. Let x be v(-11). Calculate the least common multiple of 14 and (-34)/(-204) + x/(-6). 112 Suppose -52 = -5*s - 4*p, -59 = 5*p - 49. Calculate the smallest common multiple of s and 816. 816 Let m(y) = y**3 + 19*y**2 + 4*y - 22. Let d(k) = k**2 - k - 1. Let l(n) = -6*d(n) + m(n). What is the lowest common multiple of l(-12) and 14? 56 Let y = 71 + 483. Suppose 3*n = -2*w + y, 4*n + 6*w - 737 = 3*w. What is the common denominator of -31/22 and -3 - (-3 - n/(-72))? 198 Suppose -3*a = -5*v + 3*v + 12, 0 = 2*a + 4*v + 8. Let l be (-2 - -11)*a/(-6). Let o = 4 + l. Calculate the smallest common multiple of 9 and o. 90 Find the common denominator of 43/120 and 4/3*(-238)/(-80). 120 Suppose 4*r - 5*o + 411 = 0, 20 = o - 5*o. Let m = r - -175/2. Calculate the common denominator of -17/10 and m. 10 Suppose -4*z = -0*z + 3*b - 8, z + 4*b - 2 = 0. Suppose -z*r = -1 - 9. Calculate the smallest common multiple of r and 10. 10 Let o = -129/298 + 13175/36803. Find the common denominator of o and -10. 494 Let p(h) = h**2 - 7*h + 21. What is the lowest common multiple of p(5) and 82? 902 Let s = 804 - 797. Let m(d) = 3*d + d - 2*d - 3. What is the lowest common multiple of s and m(2)? 7 What is the lowest common multiple of 6/(-8) + (-682)/(-88) and 14? 14 Suppose -3*u = 2*u + 60. Let o(b) = -b**2 - 17*b - 27. What is the lowest common multiple of o(-14) and (u/(-5))/(18/60)? 120 Find the common denominator of ((-1)/(-2))/(1749/(-14310)) and 18/253. 253 Suppose -4*x + 128 = 3*i, 0 = -0*x - 2*x + 4*i + 86. Suppose -3*y - 4 = 8. Calculate the least common multiple of 10 and 2/8 - x/y. 90 Let t = 9 - 9. Suppose 5*n + g - 6 - 49 = t, 4*n = 3*g + 63. Let q = 14 + -6. What is the least common multiple of n and q? 24 What is the common denominator of 151/126 and (32/(-1040)*-13)/(4/185)? 126 What is the lowest common multiple of (4/3)/((-8)/(-12)) and 148? 148 Let c(w) = -w**3 + 11*w**2 - 27*w + 5. Suppose 2*l - 14 = -0*h - 3*h, -l - 6 = -5*h. Calculate the lowest common multiple of c(l) and 4. 36 Let u = 121446 + -1334944/11. Let d = 906/11 - u. Calculate the common denominator of d and -7/2. 22 Find the common denominator of -61/501 and 11/594*5 + 5/2. 4509 Let k be (8 - 7)*(1 + -1) - -60. Let m = 72 - k. Suppose 0*o = -i + 3*o + 16, 3*o = 2*i - 26. Calculate the least common multiple of m and i. 60 Suppose 47*l - 45 = 42*l. Suppose 0 = -3*a + 5*v + 1, v + l - 34 = -3*a. Suppose 0 = 2*i - 5 - 5. Calculate the lowest common multiple of i and a. 35 Let m be (-11)/(-5) - 1/5. Suppose 2*s - m = 18. Let i(q) = 3*q. What is the least common multiple of i(6) and s? 90 Calculate the common denominator of -26/9 and ((-8)/414)/(3895/969 - 4). 207 Let a = -106 + 81. What is the lowest common multiple of a/2*156/(-65) and 18? 90 Let c be 9/663*5750548/(-320). Let f = 3903/16 + c. Let b = f + -26454/12155. Calculate the common denominator of b and 62/3. 33 Let x(o) = -o**3 + 5*o**2 - 3*o + 1. Let s be x(4). Calculate the lowest common multiple of 12 and (4/6)/(s/150). 60 Calculate the common denominator of 50/(-24) + 6/3 and (4/(-22))/((-56)/42). 132 What is the smallest common multiple of 78 and ((-72)/(-32))/(((-1)/16)/(-1))? 468 Let h be 246*-3*3/(-396). Let p = h + 21/11. Find the common denominator of p and 11/6. 6 Let k(f) be the second derivative of f**5/10 - f**4/2 - f**3/6 + 2*f**2 - 2*f. What is the lowest common multiple of 3 and k(3)? 3 Let k = 37212 + -2530349/68. Find the common denominator of 13/8 and k. 136 Let l(c) = c**2 - 10*c - 2. Let i be l(10). What is the common denominator of -7/16 and 481/78 + i/8? 48 Suppose 6*q - 52 = 56. Suppose -21*n + 246 = -q*n. Calculate the least common multiple of n and 16. 656 Find the common denominator of -101/158 and 4 - (40/32)/(3/(-2)). 474 Let q = -315 - -375. Calculate the lowest common multiple of 36 and q. 180 Suppose 2*d - 27 + 19 = -5*g, g - 5 = 3*d. Calculate the lowest common multiple of g and 158. 158 Let i(m) = 2638*m**3 - m**2 + 4*m - 2. Let c be i(1). Let f = -15973/6 + c. What is the common denominator of f and 139/12 - (-2)/6? 12 Suppose -2 = -2*y + 2*o, -20*y - 2*o = -18*y - 22. What is the lowest common multiple of y and (3 - -1)/(1*2)? 6 Let k = -14355 - -344431/24. What is the common denominator of -187/60 and k? 120 Suppose 670*h - 21
{ "pile_set_name": "DM Mathematics" }
0.717494 and -3.8. -3.082506 What is the distance between -205.9 and -0.08826? 205.81174 -121+97226.92 97105.92 What is -182 plus -1625073? -1625255 -1.2496 + 1.50417 0.25457 0.087 - -518701628 518701628.087 35249422 - -36 35249458 Calculate 544 + 1255.57162. 1799.57162 Add together -5 and 5381751913. 5381751908 Total of 704443 and 859. 705302 What is the distance between -4.165213 and -0.2? 3.965213 What is the distance between -0.29 and -1133121? 1133120.71 Sum -1305824.7 and -94.3. -1305919 Subtract 84601 from -405127. -489728 Calculate 0.754 - 74.75791. -74.00391 Add together -457 and 371. -86 What is 0.5 - 1215564517? -1215564516.5 Total of 36.8151 and -147. -110.1849 -16860754 - 0.0153 -16860754.0153 Add together -270 and -4063161. -4063431 Add -87079 and -161. -87240 What is -0.1 take away -58468.3? 58468.2 126843 + -766 126077 Add together 1674581.4 and 0.11. 1674581.51 -46.8 - -0.417331 -46.382669 Total of 34673508.5 and -0.4. 34673508.1 What is the distance between 19475 and -2.3963? 19477.3963 Put together -0.5 and -3781503. -3781503.5 What is -11 minus 3762100? -3762111 Subtract -41 from 46.75482. 87.75482 What is -0.4 - 0.0629305462? -0.4629305462 What is 15792 minus -420545? 436337 What is -101557000 less than -0.01? 101556999.99 What is 39 less than 23368522? 23368483 Put together 13262 and -0.221. 13261.779 58226684 + 781 58227465 What is the difference between -209.8122 and 0.3? 210.1122 What is 792256486 minus 0.088? 792256485.912 5.9+-136.109 -130.209 0.287+1395.94 1396.227 Work out -9.3897 - 5.13. -14.5197 3272 - -0.14711 3272.14711 0.14+-8367950 -8367949.86 Calculate 0.2 - 775025195. -775025194.8 What is 28674270 - -25? 28674295 What is 0.28218 minus -3914? 3914.28218 Work out 14.30825 + 0.09. 14.39825 What is -1 minus 0.305457521? -1.305457521 Calculate -39622 - -4. -39618 2339.4 - -2033101 2035440.4 Work out 2.1 + 4.30102. 6.40102 What is -14.67 take away 0.3526? -15.0226 -0.04 - -198071807 198071806.96 -0.016766 - -4.46688 4.450114 Total of -71.781155 and -133. -204.781155 What is the distance between 80718.55 and -1.9? 80720.45 What is -1943210 take away 0.2002? -1943210.2002 What is 9905905 take away 0.5? 9905904.5 What is the difference between 15.81912 and 4190? 4174.18088 Add 8.8 and 6541.5052. 6550.3052 Sum -3558.5 and -114612. -118170.5 Subtract 0.51 from 39428568. 39428567.49 What is -19165.709 take away 13.7? -19179.409 Total of -111071 and -0.13192. -111071.13192 Calculate 0.4 + -6101758093. -6101758092.6 Calculate 3 + -23839437. -23839434 What is 5235 minus -2.7282625? 5237.7282625 What is -22.103672 take away -0.9? -21.203672 Add together 0.5 and -1173703089. -1173703088.5 Add -234.3 and 0.4139. -233.8861 What is -0.4 + 5260.546381? 5260.146381 Add 18.41 and 279.49. 297.9 Put together -135467 and 27. -135440 Sum -2030.3 and -4493.53. -6523.83 32812+60638 93450 Work out -84 + -64958331. -64958415 What is 19453.2 take away 293? 19160.2 Subtract -56921 from -0.1002. 56920.8998 What is the distance between -4581086935 and 6? 4581086941 What is -0.116206839569 + -2? -2.116206839569 Sum -0.344 and 55.33551. 54.99151 Total of 0.028298898418 and -4. -3.971701101582 Add 2534 and 65784. 68318 Subtract -1 from 196.3313342. 197.3313342 What is -1025 - 9.7494367? -1034.7494367 Subtract 386342943 from 1. -386342942 Add together 1836 and -812981. -811145 Calculate 61 - 5929520. -5929459 Work out 338.42 - -1878. 2216.42 Calculate -0.1 + 2867811578. 2867811577.9 Subtract -785 from -4.6725. 780.3275 Add -43.15032 and -15. -58.15032 Calculate 26081 - 11.07409. 26069.92591 What is -0.3 plus -1293812.23? -1293812.53 What is -52866489 take away 30? -52866519 Sum -109329079 and 2.7. -109329076.3 Work out 126 + 7798158. 7798284 Work out 50964 - -236. 51200 What is -6009862 take away 0.06? -6009862.06 What is -0.0031 less than -2798.3917? -2798.3886 Add together -10886 and 116927. 106041 What is -1581 + 46207? 44626 What is -0.5 minus -14.82826384? 14.32826384 What is the difference between 755 and -70457666? 70458421 Add together -759.72917 and -0.2. -759.92917 Subtract 1477.809 from 0.5. -1477.309 Work out -0.54 + -49598. -49598.54 Calculate 0.7 - -0.182895472. 0.882895472 What is -2521747254 take away 1.4? -2521747255.4 167+-17349.01 -17182.01 Calculate -2 + -0.04764732. -2.04764732 What is 2618777 take away 0.037? 2618776.963 Calculate 41776411.46 + -0.5. 41776410.96 What is 2440 + 12163? 14603 Work out 0.1 + 4579.402131. 4579.502131 1 + 3368266 3368267 Sum -165.7 and 0.17054. -165.52946 Work out -1095387632 - 0.3. -1095387632.3 What is -5.9752477 less than 25? 30.9752477 Put together 3344.87 and 287. 3631.87 Work out 1062.0826 - -0.15. 1062.2326 Put together 0.3016 and 554.573. 554.8746 Work out -74 + 16.74. -57.26 Work out 5 - -314816053. 314816058 Sum -1092 and -45310. -46402 Total of -316456264 and -23.4. -316456287.4 Add 0.98472 and -795. -794.01528 Total of -17217205 and 38. -17217167 223024+-454.04 222569.96 Add together 0.1775738 and 0.7. 0.8775738 What is -42.5257 plus 0.0181? -42.5076 Subtract -8223574 from -3. 8223571 What is 2749 - 4088.688? -1339.688 What is 0.1 minus 2530459? -2530458.9 What is -3913539 plus 0.525? -3913538.475 What is the difference between 0.5 and 4264349? 4264348.5 Add together 2708800 and 0.01092. 2708800.01092 Sum -0.2780255 and 0.9. 0.6219745 -1.449196 - 19685 -19686.449196 Calculate -302 - 164163. -164465 What is the difference between -40.93 and 1684? 1724.93 What is -5 - -30306290? 30306285 What is the distance between -4605 and 4279.9? 8884.9 Subtract -2724877 from 0.3. 2724877.3 Work out 1.6 - 89021.9642. -89020.3642 Calculate -439.67664 + -0.5. -440.17664 0.429 + 10204.9 10205.329 What is -2.2 plus -25524392? -25524394.2 Calculate 62092613 + 11. 62092624 Calculate -30.67 + -0.43338. -31.10338 Work out -4776.28 - -186. -4590.28 45365+-1.5 45363.5 Sum -0.52962 and -1209711. -1209711.52962 Work out -5775043.7 - 1.4. -5775045.1 Add -65945522 and -0.5. -65945522.5 What is -1.59 - 3066931? -3066932.59 Total of -3773318405 and 18. -3773318387 Calculate -0.05 + 3.67767. 3.62767 Work out -0.2 - -22.440595878. 22.240595878 Work out -18470.1076 - -2. -18468.1076 What is -789720945 - 0.5? -789720945.5 Total of 1113613 and 272. 1113885 Total of -244 and -675.967. -919.967 What is -6998.8254 take away 5? -7003.8254 Subtract -71443 from 66464. 137907 What is the difference between 0.4 and 3348031? 3348030.6 Calculate 0.31129 - 0.170555. 0.140735 What is -2.2 - 48.465929? -50.665929 What is 95346 - 203? 95143 Add 19 and -1.010216. 17.989784 Subtract -3171 from -13.3264. 3157.6736 What is -124504 - -48? -124456 3699.06+-37 3662.06 What is the distance between 0 and 25425424742? 25425424742 Total of -19902.85 and 2.57. -19900.28 What is -0.188 + 1.479232? 1.291232 Add together 0.1 and -2225041705. -2225041704.9 Sum -5121782 and -0.3. -5121782.3 Work out 10789122 + 0.36. 10789122.36 Total of -5 and -248312614. -248312619 Put together 0.0495336 and -115.9. -115.8504664 Subtract -5.67 from 2.543. 8.213 Calculate -0.0729 - 734.5594. -734.6323 What is -35.401 take away -4116? 4080.599 What is the difference between -0.77676 and 72.7? 73.47676 Work out 538.5 - -913. 1451.5 Calculate 22.44848 - 318. -295.55152 What is -0.2 minus -3649825102? 3649825101.8 Add 4010.5541 and 0.04. 4010.5941 Calculate 0.04 - 63299. -63298.96 Total of 702 and 307175. 307877 What is 152 less than -0.78849? -152.78849 Calculate -57.35479634 + -0.5. -57.85479634 What is 423489580 - 0.4? 423489579.6 What is -6478581 plus 1.6? -6478579.4 -244 + 7919.4848 7675.4848 Work out -55839 + -3899.7. -59738.7 79439 + -1283 78156 What is -0.0213 minus -19938? 19937.9787 What is -158800 - 67? -158867 What is -6676707 less than 0.3? 6676707.3 -3168.497 - -269 -2899.497 What is -6791342 + -1177? -6792519 Put together 1137 and 523661. 524798 Sum 0.026 and -2691.348. -2691.322 What is the distance between 0 and -42225768? 42225768 Put together 16.693 and 0.3163869. 17.0093869 Add together -0.0694811 and 1733. 1732.9305189 Calculate 7108 + -4.1085. 7103.8915 Subtract 1686 from -0.3808718. -1686.3808718 Add -14.62 and 45954712. 45954697.38 What is the distance between -79.53 and -103.42? 23.89 Calculate 0 + -211.263. -211.263 What is -658996 minus 3
{ "pile_set_name": "DM Mathematics" }
. Let z(g) = -g. What is z(b(f))? 6*f**2 + 10*f Let x(q) = -q. Let d(b) = 482*b + 481*b + 1 + 4 - 959*b. Determine d(x(z)). -4*z + 5 Let t(y) = -4*y + 1004. Let m(x) = -43 + 93*x**2 - 42*x**2 + 43 - 49*x**2. Determine m(t(a)). 32*a**2 - 16064*a + 2016032 Let k(b) = 1 - 1 - 92*b**2 + 46*b**2 + 45*b**2. Let z(n) be the second derivative of 2*n**4 - 14*n. Determine z(k(w)). 24*w**4 Let j(r) = r. Let o(q) = 114275115*q. What is j(o(w))? 114275115*w Let k(j) = -23*j**2. Let b(v) = 4*v**2 - 112. Let s(t) = -t**2. Let w(u) = -b(u) - 6*s(u). Let o(h) be the first derivative of w(h). What is k(o(a))? -368*a**2 Let c(p) = -4*p**2 + 13*p - 41 + 46*p + 5*p**2 + 41. Let z(j) = j. Determine z(c(a)). a**2 + 59*a Let a(k) = -2*k. Let p(c) be the second derivative of 821*c**3/6 - 6818*c. Determine a(p(i)). -1642*i Let b = 234 + -144. Let v(c) = b*c**2 - 186*c**2 + 87*c**2. Let w(r) be the first derivative of 7*r**2/2 + 8. Calculate v(w(y)). -441*y**2 Let i(n) be the third derivative of -3*n**4/4 + 4144*n**2. Let c(o) = 4*o**2 + 7*o. Give c(i(t)). 1296*t**2 - 126*t Let u(c) = 2*c**2 + 1. Let t(m) be the second derivative of -m**5/60 + 13*m**2/2 + 62*m. Let y(d) be the first derivative of t(d). Calculate u(y(z)). 2*z**4 + 1 Let a(w) = 3073*w + 3068*w + 33*w**2 + 3071*w - 9210*w. Let n(c) = c**2. Calculate n(a(l)). 1089*l**4 + 132*l**3 + 4*l**2 Let t(k) = -24*k. Let z(m) = -2645 + 2828 + 29*m - 30*m. Calculate t(z(o)). 24*o - 4392 Let u(p) = -27*p + 9*p - 1 - 16*p - 80*p + 3. Let x(a) = -39*a**2. What is x(u(m))? -506844*m**2 + 17784*m - 156 Let p(u) = 4730*u. Let d(y) be the first derivative of -y**2/2 - 2651. Determine d(p(r)). -4730*r Let o(v) = -144*v**2. Let i(g) = -20*g - 14. Let s(d) = 13*d + 9. Let a(n) = 9*i(n) + 14*s(n). Determine o(a(u)). -576*u**2 Let f(t) = 7*t + 9. Let m(p) = 30*p + 16. Let r(y) = -7*y - 4. Let b(w) = 2*m(w) + 9*r(w). Let c(v) = -9*b(v) - 4*f(v). Let i(o) = -2*o + 3. Give i(c(q)). 2*q + 3 Let u(n) = n. Let c(f) be the second derivative of -494*f**4/3 - 640*f - 1. Determine u(c(a)). -1976*a**2 Let x(a) = -692*a. Let o(q) = 1696*q**2 + 2. What is x(o(h))? -1173632*h**2 - 1384 Let f(n) be the third derivative of -37*n**4/24 + 7*n**2. Let i(k) = 3 - 3 + 0 + 454*k**2 - 450*k**2. Determine f(i(r)). -148*r**2 Let m be (-2)/4*7/(7/(-6)). Suppose 0 = -m*r - 30 + 108. Let s(i) = r*i + 84 - 84. Let f(t) = t**2. Give f(s(l)). 676*l**2 Let c(m) = 456*m. Let t(s) = 468*s + 14. Determine t(c(h)). 213408*h + 14 Let z(g) = -g**2 - 7*g. Let c(k) = -21*k - 22*k - 17*k - 1580 + 1580. What is z(c(v))? -3600*v**2 + 420*v Let s(f) be the first derivative of -f**5/60 + 12*f**2 - f + 109. Let m(c) be the second derivative of s(c). Let o(a) = -7*a + 4. What is o(m(h))? 7*h**2 + 4 Let f(g) = -14*g + 4. Let i(x) = 5*x - 1. Let t(p) = -f(p) - 3*i(p). Let r(d) = 4*d + 6. Let h(b) = -r(b) - 6*t(b). Let w(m) = 2*m - 41. Calculate w(h(a)). 4*a - 41 Suppose -4*l + 2509 = -2*r - 1501, 0 = -3*l + 4*r + 3005. Let g(k) = 79*k + 55. Let s be g(12). Let v(h) = -h + l - s. Let u(t) = -24*t + 1. What is u(v(i))? 24*i + 1 Let t(k) = -29*k**2 - 2*k**2 + 1263*k + 1268*k - 2531*k. Let s(w) = -w + 6. Give s(t(m)). 31*m**2 + 6 Let d(c) = -9*c. Let m(r) = 21*r + 303. Let x(g) = -5*g - 72. Let h(f) = 12*m(f) + 51*x(f). Calculate h(d(q)). 27*q - 36 Let u(c) = -16*c + 36*c - 24*c. Let f(j) = 5*j**2 - 5. Let m(p) = 1. Let w(a) = 5*f(a) + 25*m(a). Determine u(w(x)). -100*x**2 Let n(c) = -2*c. Let h(b) = -5559*b - 7. Let y(r) = -1345265*r - 1695. Let k(d) = -3390*h(d) + 14*y(d). Calculate k(n(l)). -22600*l Let m(f) = 0*f + 0*f - 5*f**2. Let l(j) be the second derivative of -2*j**3/3 + 17*j. Let r(c) = 11*c. Let y(g) = 17*l(g) + 6*r(g). What is y(m(d))? 10*d**2 Let p(w) = 73*w - 260*w + 44*w. Let f(l) = -3*l**2. Calculate p(f(a)). 429*a**2 Let k(d) = -2*d. Let b be (23 - 24) + 1 + 2. Let q(g) be the second derivative of 0 + 11/12*g**4 + 0*g**3 - 17*g + 0*g**b. Give k(q(w)). -22*w**2 Let u(p) = -4*p**2 + 7*p + 12. Let z(i) = i**2 - 7*i - 2. Let s(b) = -u(b) - 6*z(b). Let w(j) = 40*j. Determine s(w(x)). -3200*x**2 + 1400*x Let x(i) = 5*i**2 - 8*i. Let c(r) = 91582*r. Give c(x(f)). 457910*f**2 - 732656*f Let i(v) = 2255*v. Let y(a) = -10701*a. Give y(i(c)). -24130755*c Let z(h) = 3*h + 3*h - 7*h - h. Let b(a) = 22*a - 6. Let j(k) = 42*k - 14. Let i(x) = -7*b(x) + 3*j(x). Calculate z(i(g)). 56*g Let j(v) = 2 - 1148*v + 1133*v + 1 - 3. Let p(x) be the third derivative of x**4/4 + 3*x**2. Give p(j(i)). -90*i Let y(t) = 2*t**2 + 273335*t. Let p(d) = -26*d. Give y(p(w)). 1352*w**2 - 7106710*w Let u(p) = 6*p + p - p + p. Let w(r) be the third derivative of 0 - 9*r**2 + 0*r**3 - 5/24*r**4 + 0*r. Give w(u(o)). -35*o Let y(j) = j - 1. Let q(k) = -4*k + 3. Suppose -189 + 141 = 4*f. Let w(i) = f*y(i) - 4*q(i). Let u(z) = 2*z - 3*z + 8*z + z. Determine u(w(o)). 32*o Let q(j) = -3*j**2. Let o(v) be the first derivative of 0*v + 0*v**2 + 2/3*v**3 + 132. What is o(q(n))? 18*n**4 Let b(y) = -3*y. Let d(z) = -2*z. Let p(n) = 5*b(n) - 7*d(n). Let q(v) = 29*v**2 - 140*v - 93*v**2 + 59*v**2 + 266*v - 139*v. What is p(q(g))? 5*g**2 + 13*g Let m(o) = -49*o. Let f(a) be the second derivative of 0 + 0*a**3 + 73*a + 0*a**2 + 1/12*a**4. Give m(f(k)). -49*k**2 Let h(w) = w. Let z(p) = 23*p - 61*p + 16*p - 2677*p**2 + 22*p. Determine z(h(f)). -2677*f**2 Let h(t) = 366 + t - 4*t - 366 + 0*t. Let v(z) = 7*z**2 + 5*z. Calculate v(h(y)). 63*y**2 - 15*y Let t(b) be the third derivative of -b**5/60 + 2*b**2 - 1753. Let n(a) = 5*a**2 - 6*a**2 - 7*a**2. Give n(t(z)). -8*z**4 Let f(q) = 2*q - 44. Let l(c) = 2543521*c. Give l(f(a)). 5087042*a - 111914924 Let t(k) = 2*k + 10. Let y(q) be the second derivative of 0*q**2 + 7*q + 0*q**3 + 0 - 1/12*q**4. Determine y(t(c)). -4*c**2 - 40*c - 100 Let w(d) be the second derivative of 25*d**4/4 - 41*d - 30. Let s(u) = 25*u. Give s(w(q)). 1875*q**2 Let c(l) = l**2. Let q(y) = 0*y + 0*y - 30*y**2 - 32*y**2 + 9*y**2 - y. What is q(c(o))? -53*o**4 - o**2 Let x(a) = 3*a**2. Let u(o) = 2886221*o. What is x(u(j))? 24990814982523*j**2 Let d(c) be the first derivative of 13*c**2/2 + 1670. Let s(o) = -6*o - 12. Determine d(s(u)). -78*u - 156 Let h be 3/2*56/21. Suppose 5*x - 11211 = -4*w, -15*w - x = -12*w - 8400. Let s(l) = -w*l + h + 2894*l - 4. Let k(n) = n. Determine s(k(a)). 95*a Let k(j) = 60*j**2. Let m(o) be the second derivative of o**5/60 - o**3/2 - 3*o**2/2 + 117*o. Let v(r) be the second derivative of m(r). Calculate k(v(x)). 240*x**2 Let n(b) = -11346*b**2. Let z(c) = 296*c**2. What is n(z(o))? -994091136*o**4 Let x = -1767 - -1767. Let a(u) be the second derivative of 0 - 1/2*u**3 - 8*u + x*u**2. Let c(h) = 6*h. Calculate c(a(z)). -18*z Let s(k) = 81*k + 71*k - 148*k. Let v(d) = 27*d**2. Give v(s(x)). 432*x**2 Let f(w) = -7*w**2. Let r(m) = -1736*m**2 - 5*m - 15. Let d(q) = 72046*q**2 + 208*q + 624. Let k(a) = 5*d(a) + 208*r(a). What is k(f(u))? -42042*u**4 Let v(o) = 2*o**2. Suppose 6*z - 29*z + 12*z = 0. Let g(m) be the first derivative of 19/3*m**3 + 14 + z*m + 0*m**2. Calculate v(g(i)). 722*i**4 Let w(s) = -8391899*s + 8391899*s + 8*s**2. Let k(n) = 279*n - 3. Calculate w(k(v)). 622728*v**2 - 13392*v + 72 Let r = 112 + 139. Let s(p) = 8*p + r - 251. Let q(g) be the third derivative of -g**4/12 - g**2. Determine s(q(m)). -16*m Let u(f) = 27*f. Let b(g) = -13*g. Let q(l) = 13*b(l) + 6*u(l). Let a(j) = 81904*j - 15*j**2 - 81904*j. Calculate a(q(x)). -735*x**2 Let p(w) = -44886335 - 6*w + 44886335. Let a(u) = 399*u. What is a(p(m))? -2394*m Let n(x) = -2*x**2. Suppose 0 = -5*k + 25, 87 = -5*p - 5*k - 88. Let j be (1*12)/(p/(-20)). Let t(r) = -16 - 18*r + 16 + j*r. What is n(t(u))? -288*u**2 Let c(x) = -18*x + x + 10*x - 1 + 1. Let j(i) = 39*i + 8. Let s(d) = -13*d - 3. Let b(y) = 3*j(y) + 8*s(y). Determine c(b(o)). -91*o Let b(q) = -192049*q. Let y(l) = 6*l - 20. Calculate y(b(p)). -1152294*p - 20 Let h(b) be the first derivative of 16*b**3/3 - 2*b - 609. Let o(v) = 7*v. Calculate o(h(i)). 112*i**2 - 14 Let z(n) = 9108*n. Let l(v) = 1208*v. What is l(z(j))? 11002464*j Let h(q) = 12103*q + 57. Let k(f) = -21*f. Give h(k(y)). -254163*y + 57 Let y(c) be the third derivative of c**4/3 - c**3/6 - c**2. Let i(w) = -4*w - 8. Let o(p) = p**2 + 2*p + 4. Let s(v) = -i(v) - 2*o(v). Determi
{ "pile_set_name": "DM Mathematics" }
ivided by (-59)/(-3) - (-2)/u. 18 Suppose 5*i = -h + 28, -7*i - 5*h = -3*i - 35. Let p = -3 - -10. What is the remainder when p is divided by i? 2 Calculate the remainder when 71 is divided by (11 - 8)*8*1. 23 Suppose 0*x = -4*x + 488. Calculate the remainder when x is divided by 31. 29 Let g(b) = 5*b - 8. Calculate the remainder when g(6) is divided by 12. 10 Suppose 128 = -3*o + 614. What is the remainder when o is divided by 41? 39 Let u(t) = -t**3 - 2*t**2 - 3*t - 2. Let o be u(-2). Suppose -3*h + 74 = -4*b, o*b + 0*b + 92 = 4*h. What is the remainder when h is divided by 7? 4 Let c(l) = -10*l**2 + 10*l + 1. Let u(j) = -9*j**2 + 9*j + 1. Let t(w) = 6*c(w) - 7*u(w). Let k = 18 + -6. What is the remainder when t(4) is divided by k? 11 Suppose -j + 0*j = -61. Calculate the remainder when j is divided by 21. 19 Let q be 4/(-16) + (-1)/(-4). What is the remainder when 73 is divided by 228/12 + q + 0? 16 Let b be -12*1*(-91)/(-21). Suppose 0 = -4*q + 4*j - 108, 4*q = -3*j + j - 126. Let k = q - b. What is the remainder when k is divided by 12? 10 Let m = 128 - 79. What is the remainder when m is divided by 13? 10 Let l(g) = g**3 + 4*g**2 - 4*g + 7. Let k be l(-5). Suppose 0 = -4*n + k*n + 10. Calculate the remainder when n is divided by 2. 1 Let z = 39 + -15. Suppose -3*c + 25 = 4*v, 3*c = -c - 3*v + z. Suppose r + 3*g = 4*r - 51, c*r - 57 = -3*g. What is the remainder when r is divided by 10? 8 Calculate the remainder when 17 is divided by 1/((-1)/3) + 9. 5 Let x be 3/(-1*1/2). Let y = x - -20. What is the remainder when y is divided by 5? 4 Let o(g) = -3*g**2 + 3. Let l be o(3). Let s be (l/(-3))/((-4)/(-26)). Suppose 0 = -5*b + b + s. What is the remainder when 37 is divided by b? 11 Suppose 380 = 8*t - 3*t. Calculate the remainder when t is divided by 11. 10 Suppose -42 + 12 = -s - 5*o, 3*o + 10 = 5*s. Suppose -2*h = -s*h + 48. Suppose 3*a - h = a. What is the remainder when 22 is divided by a? 6 Suppose a - 12 = -j, -a - 4*a = -j - 36. Suppose -w - 2*w + 87 = 0. Calculate the remainder when w is divided by a. 5 Let g = -1 - -2. Calculate the remainder when 1 is divided by g. 0 Suppose 4*u - 177 = -17. Calculate the remainder when u is divided by 21. 19 Let o = -5 + 8. Let g be 82*o/(-3)*-1. Suppose -2*u = 2*j - 32 - 8, -5*u + g = 4*j. What is the remainder when 52 is divided by j? 16 Let k(w) = -w**2 - 7*w + 4. Let v(o) = o**2 + 5*o + 2. Calculate the remainder when k(-5) is divided by v(-6). 6 Suppose -2*p - 3*p + 20 = 0. Suppose 4*z = -3*j + 18 + 11, -2*z = p*j - 22. Calculate the remainder when z is divided by 3. 2 Let o(l) = l**2 + 4*l - 1. Let d(k) = k**3 - 9*k**2 - 8*k - 9. What is the remainder when o(-8) is divided by d(10)? 9 Let u be (2/(-3))/(2/6). Let l(r) = -7*r - 2. Suppose -5*t - 2*x + 32 = -88, 3*t - 3*x - 51 = 0. What is the remainder when t is divided by l(u)? 10 Let f = 9 + -5. Let t(d) = 0 - d**3 + 2*d - f*d**2 + 0*d - 3. Calculate the remainder when t(-5) is divided by 5. 2 Let r = 33 - -10. Let u(n) = n + 10. What is the remainder when r is divided by u(5)? 13 Suppose -5*f = -3*h + 32, -h = -3*f - 0*f - 16. Calculate the remainder when 6 is divided by h. 2 Let q = -157 + 188. What is the remainder when 121 is divided by q? 28 Let k(y) = y**2 + 4*y - 11. What is the remainder when 36 is divided by k(-7)? 6 Let i = 3 + -3. Suppose i = 3*r + r - 32. What is the remainder when 14 is divided by r? 6 Suppose 0 = -4*p + 2*q + 244, -8 = -0*q + 2*q. Calculate the remainder when p is divided by 15. 14 Let b be 12/(-9) + (-2)/3. Let k = 4 - b. Calculate the remainder when ((-6)/(-9))/(k/153) is divided by 6. 5 Let y(s) = -5*s + 54. Let c(w) = 3*w**2 - 2*w. Let l be c(-6). Suppose 0*h + l = 3*h. Calculate the remainder when h is divided by y(8). 12 Let o = 12 + -5. Let a(v) = v**2 + 4*v + 1. Let m be a(-3). Calculate the remainder when m*(0 - 7) + -1 is divided by o. 6 Suppose 6*y = -4*v + 3*y + 17, 4*y - 16 = -2*v. Suppose -2*m = 5*x - 17, -2*m - 12 = -v*x + 6. Calculate the remainder when 17 + (0 + 0 - -1) is divided by x. 3 Let m(y) = -2*y**2 - 11*y - 19. Let x be m(-6). Let u(p) = -3*p**2 - 6*p - 5. Let l be u(-5). Let w = x - l. Calculate the remainder when w is divided by 9. 7 Let p = 3 + 8. Let b = -9 + p. Let j = 2 + -1. Calculate the remainder when b is divided by j. 0 Suppose -4*x + 44 = -20. What is the remainder when 77 is divided by x? 13 Let m(c) = -c**3 - 8*c**2 - 6*c + 10. Let q be m(-7). Let w(n) = q*n + 8 - n - 4*n. Calculate the remainder when w(-6) is divided by 11. 9 Suppose -2*c + 5*s = -73, 0 = 2*c - 0*c - 3*s - 79. Let i(b) = -b**2 + b. Let a be i(6). Let x = 45 + a. What is the remainder when c is divided by x? 14 Let a(y) = 10*y + 8. Suppose -2*p = -0*p - 30. Calculate the remainder when a(5) is divided by p. 13 Let z be 17/(-1)*(-9 - -7). Let b = 54 - z. What is the remainder when b is divided by 7? 6 Let m be 8/6*3/2. Let z = m - -28. Suppose 5*j - z = 60. Calculate the remainder when 35 is divided by j. 17 Let x be -3 + (-2)/(-1) - 2. Calculate the remainder when 3 is divided by (x + 5)/((-4)/(-2)). 0 Let l be 2 + 2/4*4. Suppose -u - 3*t + 10 + 5 = 0, u = -l*t + 16. What is the remainder when u is divided by (-21)/(-2)*(-4)/(-6)? 5 Suppose 0*d = 4*d - 60. Calculate the remainder when d is divided by 2/(-2)*-6 - -2. 7 Let s be (-4)/(-2) + -1 + 17. Let w = s - 1. Calculate the remainder when w is divided by 6. 5 Let w = 16 + -10. Let k(v) = 3*v - 4. Calculate the remainder when k(w) is divided by 4/(-2)*(-1 + -3). 6 Suppose 11*m = 5*m + 84. What is the remainder when 26 is divided by m? 12 Calculate the remainder when 47 is divided by (-1)/(-4)*6 + 21/2. 11 Let m = 18 - 7. Let c(w) = w**2 - 8*w + 7. Let v be c(6). Let o(x) = -x**2 - 8*x + 6. Calculate the remainder when o(v) is divided by m. 10 Let q = 15 - 11. What is the remainder when 30 is divided by q? 2 Let t be 2/(-5) + (-2460)/(-25). Let w = -53 + t. What is the remainder when w is divided by 23? 22 Let j(t) = -2*t + 2. Suppose 0 = -4*c - c - 4*o + 37, -40 = -5*c - 5*o. What is the remainder when j(-6) is divided by c? 4 Let s(a) = 2*a**2 + 6. Let h be s(6). What is the remainder when 29 is divided by h/8 + (-2)/(-8)? 9 Let d(q) = q**2 + q + 2. Let b be d(0). Suppose b*l - 3*w = -5*w + 48, 0 = -2*l + 3*w + 33. Calculate the remainder when l is divided by 11. 10 Suppose 5*v + 40 = -d, 0 = v - 2*v + 3*d - 8. Let o = v - -16. Suppose 12*m + 23 = 13*m. What is the remainder when m is divided by o? 7 Let p(q) = -2*q - 9. Let d be p(-7). Suppose -3*r + 194 = a, 4*r - 221 - 56 = -d*a. Calculate the remainder when r is divided by 16. 15 Suppose 3*s + s = 132. Calculate the remainder when s is divided by 5. 3 Let g be (4/(-3))/((-18)/405). What is the remainder when 24 is divided by g/50*(1 - -14)? 6 Let l = -2 - -59. Suppose j - l = -2*j. Suppose 0 = 3*v + 47 - 215. Calculate the remainder when v is divided by j. 18 Let b be (-37)/(-5) + (-12)/30. Suppose -5*v + b - 46 = -2*k, 0 = -5*k + 2*v + 108. Calculate the remainder when 86 is divided by k. 20 Let z(w) = -w**3 + 4*w**2 + w + 3. Suppose -a - 4*a = -15. Let q(b) = -8*b + 1. What is the remainder when q(-7) is divided by z(a)? 12 Let i(t) = t**3 + 4*t**2 - 21*t + 10. What is the remainder when 69 is divided by i(-7)? 9 Suppose 3*g = 14 - 2, 2*w - 3*g = -2. What is the remainder when 18 is divided by w? 3 Let y = -55 - -62. Let h(u) = -u**2 - 5*u + 3. Calculate the remainder when y is divided by h(-5). 1 Suppose 3*u = -2*u. Suppose -3*f + 25 - 7 = u. Suppose 2*o + m - 22 - 10 = 0, 0 = -5*o - 2*m + 79. Calculate the remainder when o is divided by f. 3 Let c(r) = r**3 + 7*r**2 + 8*r + 5. Let q(i) = -2*i - 8. What is the remainder when c(-5) is divided by q(-8)? 7 Let g = 593 + -580. What is the remainder when 318/14 - 4/(-14) is divided by g? 10 Let k(r) = -r. Let l(u) = 3*u - 9. Let g(b) = 2*k(b) + l(b). Let v be g(11). Suppose 28 = -0*z + v*z. Calculate the remainder when 54 is divided by z. 12 Suppose w + 7 - 42 = 4*t, 2*t - 122 = -4*w. Let k(v) = 12*v - 1. Let o be 1*(-2)/(-2)*1. What is the remainder when w is divided by k(o)? 9 Let x(l) be the third derivative of -l**5/60 + 5*l**4/24 + l**3/3 + 6*l**2. Suppose -22 = c - 3*c. What is the remainder when c is divided by x(4)? 5 Let x(o) = -o**2 -
{ "pile_set_name": "DM Mathematics" }
a be ((-3)/(-2))/(6/20). Let c be (-1 + (-2 - -1))*-2. Suppose -a = -c*v + 23. What is the units digit of v? 7 Suppose -9*h = -4*h - 100. Suppose -b + 5*f = 8, -h = 5*f - 5. What is the units digit of b/(-2) - 1/(-2)? 2 Suppose 0 = -2*z - 3*z + 4*l - 38, 4*l = 3*z + 26. Let w be (z/(-10))/(4/20). Suppose 4 = 4*i + 3*x, -32 = w*i - 6*i + 5*x. What is the units digit of i? 4 Let a = -207 - -298. What is the units digit of a? 1 Suppose 3*k = 5*q + 7*k - 873, 2*q - 366 = 4*k. What is the hundreds digit of q? 1 Let g be 4/((-4)/(-27)) + -1. Let f = -16 + g. What is the units digit of f? 0 Let b = -15 - -15. Suppose o = 0, b*o + 3*o - 42 = -2*u. What is the tens digit of u? 2 Suppose 0*d - 4*d = 5*q - 6, 4*d = -q + 14. Let l be (3/q)/(21/(-14)). What is the units digit of -5 + 3 + 5/l? 3 Let o(l) be the second derivative of l**5/20 + l**3/3 + 23*l**2 + 11*l. What is the tens digit of o(0)? 4 Suppose 327 = 4*m + 3*x, m - 82 = -3*x + 2*x. What is the units digit of ((-5)/(-3))/(3/m)? 5 Let g = -221 + 127. What is the units digit of g/(-14) + 2/7? 7 Let o = 259 + -44. What is the tens digit of o? 1 Let r = 29 - 32. What is the tens digit of (5/r)/(4/(-72))? 3 Let a be 58/8 - 6/(-8). Let m = 20 - a. What is the units digit of m? 2 What is the units digit of -18*(8/4)/(-4)? 9 Let h(x) = x**2 + 3*x + 22. What is the hundreds digit of h(-12)? 1 Suppose 16*s - 11*s - 285 = 0. What is the tens digit of s? 5 Let n be (0 - (-10 - 0))*-1. Let t = 1 - n. What is the tens digit of t? 1 Suppose 0 = 2*x + d - 4 - 9, 4*x + d = 23. What is the units digit of x? 5 Suppose 4*b - 163 = 5*a, -2*b + 2*a + 83 = -a. Let r = -24 + b. What is the units digit of r? 3 Let c(n) = -2 - n - 3 + 0 + 3. Let j(v) = -1. Let g(z) = -c(z) + 2*j(z). What is the units digit of g(3)? 3 Suppose -2*y + 8 = -3*y. Let w(c) be the second derivative of c**5/20 + 3*c**4/4 + 7*c**3/6 + c**2/2 - 2*c. What is the units digit of w(y)? 9 Suppose 5*s - 17 = -2*z, 2*z + 16 = 4*s + 3*z. What is the units digit of s? 5 Suppose 0 = 4*c - 7*p + 2*p + 3, 0 = -c + 5*p - 12. Suppose 0 = c*o - 74 + 17. What is the tens digit of o? 1 Let g(f) = -2*f - 4 + 0*f - 3 + 2. Let i be g(-4). What is the units digit of (15/(-9) + 2)*i? 1 Suppose -11 = 2*u + 13. Let y(z) = -z - 5. Let v(r) = -r - 5. Let l(t) = -2*v(t) + 3*y(t). What is the units digit of l(u)? 7 Suppose -3*k = 4*j - 165, -k + 5*j = -3*k + 110. Suppose -2*s - 3*s + k = 0. What is the units digit of s? 1 Let t = -20 + 11. Suppose -3*p + 60 = -18. Let l = t + p. What is the tens digit of l? 1 Let h be 2/2 + (-2 - -1). Suppose h = -2*y, -7 = 5*m - 2*y + 13. What is the units digit of m/18 - 11/(-9)? 1 Let r(n) = -16*n**2 - n + 1. Let k be r(1). Let s = k - 6. What is the tens digit of s/(-3)*6/4? 1 Let w be (-11)/(-44) - 283/(-4). Let m = -50 + w. What is the tens digit of m? 2 Let q = -24 + 35. What is the tens digit of q? 1 Suppose 5 = s - 3*g, 3*s - 2*g + g - 39 = 0. What is the units digit of s? 4 Suppose 4*z + 508 = 4*v, -4*z + 204 = 2*v - 26. What is the hundreds digit of v? 1 Suppose 2*k - 6*k = 2*c - 30, 0 = -4*c + k + 87. What is the units digit of c? 1 Let y(t) = t - 2. Let j be y(6). Suppose 3*x = 2*v + j*x - 6, -2*v + 4*x + 16 = 0. What is the units digit of v? 4 Suppose g = 2*g - 51. What is the units digit of g? 1 Suppose 5*x + 24 = 4*b, -3*b + 5*b + 10 = -3*x. Suppose 1 = h - b. Suppose -c - 3*a + 2*a + h = 0, c + 3*a = -4. What is the units digit of c? 5 Let m = 5 - 5. Suppose m = -2*f + 5 + 1. Suppose -3*y + k + 0*k + 33 = 0, -33 = -3*y - f*k. What is the tens digit of y? 1 Suppose h - 3 = 0, 6*j - j + h - 23 = 0. Suppose 0 = -k - f + j*f + 3, -3*k + 29 = -5*f. What is the tens digit of k? 1 Let f(v) = -v - 3. Suppose 21 = -2*s - s. Let u be f(s). Let j(d) = -d**2 + 4*d + 2. What is the units digit of j(u)? 2 Suppose 2*v + v - 5*d - 15 = 0, -3*d - 20 = -4*v. What is the units digit of v? 5 Suppose 0 = -3*x + 2 + 4. Suppose -b - b + x = 0. What is the units digit of b? 1 Let w = 13 - 8. Suppose -u - 171 = -3*s - 49, u = -w*s + 198. What is the units digit of s? 0 Let h = 3 - 2. Let p be (0*1/(-2))/h. Suppose p = -3*f + 4 - 1. What is the units digit of f? 1 Let i = -2 + -1. Let r = i - 3. Let v = 4 - r. What is the units digit of v? 0 Suppose 12 = o + 3*o. Suppose -o*q + 6*j = 4*j - 41, 62 = 4*q + j. What is the units digit of q? 5 Let q(j) = -5*j**3 + j. Let f be q(1). What is the units digit of 1/((-9)/f - 2)? 4 Let p(v) = v**2 - 5*v + 1. Let m be p(4). Let b(x) = 3*x**2 + 3*x + 4. What is the units digit of b(m)? 2 Let u be (-4)/(-2)*43/2. Let a = -18 + u. Suppose -4*m - m = -a. What is the units digit of m? 5 Let r be (-3 - -2)/((-2)/22). Suppose -3*p + r = -2*v + 3*v, 45 = 3*v + 3*p. What is the units digit of v? 7 Suppose 4*b - 44 - 8 = 0. Suppose 0 = -3*u + 4*n + 59, -u + b = n - 2. What is the units digit of u? 7 Let h(m) = m**2 - 6*m + 5. Let u be h(7). Suppose 2*b + 6 = o, 0 = -o + 4*o + 4*b + u. Suppose 2*c - 2*r + 9 = 25, 5*c + 3*r = o. What is the units digit of c? 3 What is the hundreds digit of (-9)/(((-8)/(-30))/(-4))? 1 Let c(i) = i**2 - i - 3. Let n be c(3). Suppose -2*m + 7 = n. Suppose -m*v = -3*v + 5*j + 30, 2*v = -2*j + 12. What is the units digit of v? 0 Suppose 2*a + 0 = 4*o - 4, -14 = -4*o - 3*a. Suppose o + 4 = 2*b. What is the units digit of ((-4)/b + 1)*-9? 3 Let z(j) = j**3 + 4*j**2 + 3*j + 4. Let p be z(-3). Let l = p - -7. What is the units digit of l? 1 Let z(o) = 3*o - 6. Let v be (-375)/(-55) - 6/(-33). What is the tens digit of z(v)? 1 Suppose -430 = -4*i + 2*t, -4*t + 425 = 4*i - t. What is the tens digit of i? 0 Let w(i) be the first derivative of i**3/3 - 9*i**2/2 + 10*i - 2. What is the tens digit of w(9)? 1 Let x(v) = -v**3 + v. Let u be x(-4). Suppose u = 3*w - 0*w. What is the units digit of (-4)/w + 72/10? 7 Let b = 24 - 18. What is the units digit of b? 6 Suppose 2*n + 53 - 255 = 0. What is the tens digit of n? 0 Suppose -3*p + 9 + 0 = 0. Suppose -64 = -g - p*g. What is the units digit of g? 6 Suppose -l = -4*l. Suppose l = y - 4 - 1. Suppose -2 + 37 = y*c. What is the units digit of c? 7 Suppose 4*w = 3*j + 6*w, 4*w + 6 = -3*j. Suppose -o = -j*o + 7. Let s = o + 1. What is the units digit of s? 8 Let y(t) = 9*t + 16. Let s(c) = 14*c + 24. Let q(r) = 5*s(r) - 8*y(r). What is the units digit of q(-8)? 8 Suppose 0*r = 5*r - 25. Let j = r - 0. Suppose o = 2*m - o - 24, -j*o = m - 42. What is the units digit of m? 7 Let b(d) = -d**3 - d**2. Suppose 2*t + 3*t = -5. Let p be b(t). Let q(s) = -s + 13. What is the units digit of q(p)? 3 Suppose 3*u = -2*u - 5. Let j be (u + 1)*(-3 - -2). Suppose -6 = -3*i - j. What is the units digit of i? 2 Let t = -190 + 300. What is the units digit of t? 0 Let u = 65 - -10. What is the units digit of u? 5 Let a be ((-3)/(-2))/(9/6). Let y(d) be the third derivative of d**6/20 - d**5/60 - d**4/24 + d**3/6 - d**2. What is the units digit of y(a)? 5 Let b = -8 + 8. Let w(k) = -k + 8. What is the units digit of w(b)? 8 Let v = -220 + 314. What is the units digit of v? 4 Let l(v) = v**3 + 6*v**2 + 6*v + 2. Let d be l(-5). Let k be (2/1)/(-1 - d). Let j(i) = 20*i**3 - i**2 + 2*i - 1. What is the tens digit of j(k)? 2 Let o(l) = 41*l + 9. What is the hundreds digit of o(6)? 2 Let z be -3*(2 - 5/3). Let x = z + 4. What is the units digit of x? 3 Let j = -25 + 8. Let i = 54 + j. What is the units digit of i? 7 Suppose -2*s + 4*o - 10 = 0, 2*s - 5*o + 6 = -9. Suppose 0 = -5*n + s + 15. Suppose -5*i - 8 = -n*z - i, 0 = -z - 5*i + 8. What is the units digit of z? 3 Let g = -35 - -65. What is the units digit of g? 0 Suppose u - 3*u - 5*w = -35, -u + 16 = 4*w. What is the tens digit of u? 2 Let h(v) = v**3 + 5*v**2 - 6*v + 14. What is the units digit of h(4)? 4 Let h(x) = -x**3 + 3*x**2 + 1. Let o be h(4). What is the units digit of (1 + 2)*(-5)/o? 1 Let d(m) = -m**3 - 3*m + m - 5 + 4*m + 5*m**2. What is the units digit of d(4)? 9 Let i(d) = 3*d - 8. What is the units digit of i(6)? 0 Let f = 101 + -55. What is the units digit of f? 6 Let p = -43 + 85. What is the tens digit of p? 4 Let s = -10 + 15. Let w be 23/s + 6/15. Suppose j + 0*j = w. What is the units digit of j? 5 Let s(w) = -w**2 + 6*w - 2. Let b(r) = r + 11. Let j be b(-8). What is the units digit of s(j)? 7 Let x = 1
{ "pile_set_name": "DM Mathematics" }
. -f**3 - 255 Let w(t) = 9*t**3 - 16*t**2 - 2*t - 10. Let l(j) = -18*j**3 + 35*j**2 + 4*j + 22. Give -6*l(a) - 13*w(a). -9*a**3 - 2*a**2 + 2*a - 2 Let p(q) = -122*q**2 + 42*q - 5. Let h(z) = -83*z**2 + 30*z - 3. Determine -8*h(k) + 5*p(k). 54*k**2 - 30*k - 1 Let x(b) = 38*b + 10. Let a(r) be the third derivative of -13*r**4/24 - r**3/2 + 573*r**2. Give -7*a(u) - 2*x(u). 15*u + 1 Suppose 0 = 8*q + 25 + 167. Suppose 0 = -w - 0 + 1. Let f(j) = 20*j. Let v(u) = -3*u + 4*u + u - u. Calculate q*v(d) + w*f(d). -4*d Let w(g) = -g**3 + g - 1. Let t(x) = 291*x**3 + 2*x - 2. Calculate 2*t(l) - 4*w(l). 586*l**3 Let z(v) = -v**3 + 3*v**2 + 4*v. Let c be z(4). Let f = c + -1. Let d(t) = t. Let x(l) = 1806*l**2 - 1 - 1809*l**2 + 0*l + 5*l - 3*l. Give f*x(m) + d(m). 3*m**2 - m + 1 Let c(z) = z**2 + 55*z + 16. Let p(b) = b**2 - 37*b - 11. Determine -5*c(t) - 7*p(t). -12*t**2 - 16*t - 3 Suppose -6*h + 50 = 16 + 10. Let j(x) = -x + 6. Let q be (2 + -5)*10/6. Let b(a) = -a + 5. What is h*j(g) + q*b(g)? g - 1 Let u(q) = -39*q**3 + 18*q**2 + 2*q + 4. Let s(o) = 38*o**3 - 31*o**2 - 3*o - 5. Determine -2*s(z) - 3*u(z). 41*z**3 + 8*z**2 - 2 Let h(a) = 8*a**2 + 22. Let v = 247 + 459. Suppose 0 = -27*m + v + 482. Let z(k) = -k**2 - 3. Determine m*z(u) + 6*h(u). 4*u**2 Let h(g) = -4*g**2 + 1074*g + 2. Let a(y) = -7*y**2 - y + 2. Determine a(s) - h(s). -3*s**2 - 1075*s Let v(m) = 27*m. Let q = 170 - 166. Let f(w) = -w**3 + 9*w**2 - 25*w + 2. Let p be f(q). Let s(k) = k. Give p*s(g) + v(g). 9*g Let o(j) = -11*j + 11*j**2 + 5 + 3 + 5 - 4 + 6. Let z(i) = -5*i**2 + 5*i - 7. Calculate 6*o(d) + 13*z(d). d**2 - d - 1 Let m(f) = -1228*f + 21. Let h(d) = 3. Calculate -14*h(c) + 2*m(c). -2456*c Let c(g) = 2*g**3 + 4*g**3 - g**2 - 7 - 3*g**2 + 7*g. Let t(x) be the first derivative of x**4/2 - x**3/3 + x**2 - 2*x - 30420. Determine 4*c(v) - 14*t(v). -4*v**3 - 2*v**2 Let b(n) = -2*n + 4. Let o(s) = -3*s + 4. Let d(t) = b(t) - o(t). Let q(y) = -3*y + 5. Give -d(p) - q(p). 2*p - 5 Let k(m) = 36*m**3 - 12*m + 7. Let f(c) = 110*c**3 - 34*c + 21. Give -6*f(g) + 17*k(g). -48*g**3 - 7 Let p(s) = -215*s + 17. Let i(v) = 4730*v - 380. What is -2*i(w) - 45*p(w)? 215*w - 5 Let i(f) = 261*f - 76. Let x(a) = 263*a - 64. Determine 5*i(y) - 6*x(y). -273*y + 4 Let h(d) = -d**2 + 5. Let g(s) = -2*s**2 + s + 11. Let y be (-1702)/296 + (-3)/(-4). Determine y*h(j) + 2*g(j). j**2 + 2*j - 3 Let z(a) = -214*a - a**2 + 137*a + 76*a. Let j(g) = 2*g**3 + 3*g**2 + 6*g + 7. What is j(s) + 3*z(s)? 2*s**3 + 3*s + 7 Suppose 273*u = 235*u + 76. Let r(c) = -3*c**2 - 3 - c**2 + c**2. Let g(q) = 3*q**2 + 2. Let n be -1 - (-4 - (-2 - -2)). Calculate n*g(a) + u*r(a). 3*a**2 Let b(i) = 411*i**3 + 1. Let k(f) = 811*f**3 + 2. Calculate 7*b(z) - 3*k(z). 444*z**3 + 1 Let o(s) = -11*s**3 + 342*s**2 - 14*s + 5. Let f(i) = 16*i**3 - 512*i**2 + 20*i - 7. What is 5*f(p) + 7*o(p)? 3*p**3 - 166*p**2 + 2*p Let g(u) = -10004*u + 427. Let p = 25024 + -25019. Let l(s) = -117*s + 5. Calculate p*g(v) - 427*l(v). -61*v Let k(f) = -12*f + 817. Let a(u) = -41*u + 2455. What is 2*a(o) - 7*k(o)? 2*o - 809 Let a(v) = 7*v**2 - 3270. Let u(d) = 16*d**2 - 6541. Determine 9*a(i) - 4*u(i). -i**2 - 3266 Let y(x) = 173*x - 353*x + 56*x**3 - 15*x**2 + 180*x + 9*x**3. Let i(b) = -b**2. Determine 15*i(v) - y(v). -65*v**3 Let o(m) = 7*m + 1064. Let x(z) = 12*z + 2123. Calculate 5*o(h) - 3*x(h). -h - 1049 Let g(d) be the first derivative of d**4/12 - d**2 - 2*d - 23. Let o(i) be the second derivative of g(i). Let b(u) = u. Give -12*b(a) + 4*o(a). -4*a Let s(a) = 11*a + 15. Let b(v) = 34*v + 48. Calculate 3*b(u) - 10*s(u). -8*u - 6 Let m(k) = -6*k**2 + 16*k + 46. Let a(h) = 8*h**2 - 24*h - 68. Determine -5*a(y) - 7*m(y). 2*y**2 + 8*y + 18 Let v(r) = r**3 - 2*r + 1. Let j(a) = 5*a**3 - a**2 - a. Give -j(b) - 4*v(b). -9*b**3 + b**2 + 9*b - 4 Suppose -20*j = 15*j + 420. Let x be (j/(-18))/(4/30). Let q(v) = 12*v - 5. Let c(h) = 119*h - 49. Calculate x*c(p) - 49*q(p). 7*p Let q be 1/3*(-105)/(24 + -59). Let v(l) = -l**3 - l**2 - 1. Let i(g) = -5*g**3 - 7*g**2 + 3*g - 3. Determine q*i(d) - 4*v(d). -d**3 - 3*d**2 + 3*d + 1 Let p(s) = 44*s - 1561. Let g(n) = -124*n + 4681. Calculate -6*g(k) - 17*p(k). -4*k - 1549 Let w(u) = -2281*u**2 + 9*u - 3. Let t(o) = 8695174*o**2 - 34305*o + 11435. Calculate -3*t(h) - 11435*w(h). -2287*h**2 Let g(v) = 19*v - 1053. Let m be g(55). Let f(h) = -9*h**2 - 14*h + 15. Let i(x) = 6*x**2 + 9*x - 10. Give m*i(o) - 5*f(o). -3*o**2 - 2*o + 5 Let g(f) = 4*f**2 + 383*f + 3. Let u(c) = 3*c**2 + 385*c + 2. Determine 2*g(y) - 3*u(y). -y**2 - 389*y Let z(j) = -734*j**2 - 53*j - 6. Let g(w) = 81*w**2 + 6*w + 1. What is 19*g(d) + 2*z(d)? 71*d**2 + 8*d + 7 Let l(y) = -y - 15. Let c(t) = t**2 - 18*t - 15. Give c(u) + 2*l(u). u**2 - 20*u - 45 Let i(g) = -1248*g**2 + 117. Let a(y) = 44*y**2 - 59*y**2 + 2*y**2 + 56*y**2 - 4. What is 117*a(q) + 4*i(q)? 39*q**2 Let a = 129 + -112. Suppose -a*c + 32*c = -15. Let g(t) = -t**2 + t. Let n(o) = o**2 - 7*o + 1. Determine c*n(w) - 6*g(w). 5*w**2 + w - 1 Let y(a) = -82*a**3 - 17*a**2 - 4. Let p(j) = -85*j**3 - 11*j**2 - 3. Determine 4*p(d) - 3*y(d). -94*d**3 + 7*d**2 Suppose 4*j - 176 = 2*z, 5*z = -1 + 21. Let a(r) = j*r + 3 - 47*r - 2. Let c(k) = -9*k + 7. Let m be -1 + (1 - (-1)/1). Calculate m*c(t) - 6*a(t). -3*t + 1 Let i(o) = o**2 - 2*o - 1. Let g(j) = -5*j**2 - 7202*j + 4. What is -g(x) - 6*i(x)? -x**2 + 7214*x + 2 Suppose 0 = -2*p + 3*q - 325 + 361, -p + 46 = -5*q. Let s(y) = -4*y + 6. Let b(o) = -8*o + 11. Suppose 19 = -4*j - 25. Calculate j*s(c) + p*b(c). -4*c Let r(z) = z**3 - 17*z**2 + 17*z - 18. Let y be r(16). Let n(s) = 9*s + 2. Let m(b) = 91*b + 21. Calculate y*m(k) + 21*n(k). 7*k Let m(j) = 7*j + 6*j + 2*j - 34 - 5*j + 8. Let a(v) = -7*v + 18. Let n(c) = -7*a(c) - 5*m(c). Let i(x) = x**3 + 2*x - 5. Calculate 2*i(f) + 3*n(f). 2*f**3 + f + 2 Let m(k) = 2. Let u(f) = -f - 3175 + 3175. Calculate -m(j) + 2*u(j). -2*j - 2 Let d = 447 + -413. Suppose 5*s = 9*u - 10*u + d, -11 = -2*s - 3*u. Let z(w) = -7*w - 4. Let a(t) = 14*t + 7. Calculate s*z(l) + 4*a(l). 7*l Let t(k) = 267*k**2 + 2*k - 6. Let h(n) = -n**2 + n - 3. Give 10*h(c) - 5*t(c). -1345*c**2 Let y(g) = -g**3 + 5*g**2. Let j(n) = 87*n - 1743. Let z be j(20). Let c(u) be the third derivative of -u**5/20 + 2*u**2. What is z*y(t) - 5*c(t)? 3*t**3 Let r(t) = -t**3 + 20*t**2 - 132*t - 8. Let b(i) = -8*i**3 + 165*i**2 - 1059*i - 64. Give 4*b(s) - 33*r(s). s**3 + 120*s + 8 Suppose 5*u - 741 = -4*l, 123 = 4*l - 2*u - 583. Let a = 175 - l. Let z(m) = -5*m**2 - 2*m - 2. Let j(w) = 81*w**2 + 33*w + 33. What is a*j(v) - 66*z(v)? 6*v**2 Let t(m) = -35*m**2 - 21. Suppose -14 = 7*f + 14. Let i be (48/42)/(f/(-14)). Let k(v) = -7*v**2 - 4. What is i*t(h) - 21*k(h)? 7*h**2 Let k(r) = 2*r**3 + r + 1. Let a(p) = p + 5. Let w be a(-4). Let n(t) = -6 + 5 - t + t**3 + 0. Suppose 64*l - 154*l + 142 = 52*l. Determine l*k(b) + w*n(b). 3*b**3 Let o(b) = 12*b - 2 + 0 + 0. Let w(f) = -6 + 26*f - 7*f - 18*f. Let n(x) = -2*x + 13. Let v(s) = 6*n(s) + 13*w(s). Determine -o(y) + 10*v(y). -2*y + 2 Let q(d) = -37*d + 20. Let p(m) = 102*m - 61. Calculate 4*p(v) + 11*q(v). v - 24 Let l(z) = -1. Let f(x) = x**3 + 6*x**2 - 82*x - 115. Let b be f(-12). Let r(w) = -3*w**2 + 3. Calculate b*l(q) + r(q). -3*q**2 - 2 Let q(l) = 5*l + 4. Let f(h) = h**3 - 11*h**2 - 13*h + 15. Suppose -23 = -7*r + 61. Let a be f(r). Let p(i) = -4 + 8*i + 0 - 17*i - 3. Give a*p(n) + 5*q(n). -2*n - 1 Let t(s) = -13*s**3 - 31*s**2 + 9. Let r(o) = 11*o**2 - 61*o + 28. Let b be r(5). Let q(g) = 3*g**3 + 8*g**2 - 2. Calculate b*t(i) - 9*q(i). -i**3 - 10*i**2 Let n(s) = -2*s - s**2 + 2*s. Let w(q) be the first derivative of 7*q**3/3 + q - 46541. Determine -5*n(u) - w(u). -2*u**2 - 1 Let f(x) = -x**2 + x + 1. Let a(y) = -y**3 + 2*y**2 + y - 2. Let r = 3204 - 3202. Calculate r*f(v) + a(v). -v**3 + 3*v Let p(n) = -n**2 - 4*n + 2. Let r(l) = 12*l**2 - 11*l. Determine -p(c) + r(c). 13*c**2 - 7*c - 2 Let s(c) be the third derivative of c**6/60 - c**4/8 - 2*c**3/3 - 21*c**2 - 53*c + 2. Let b(f) = 3*f**3 - f**2 - 7*f - 9. Give 3*b(h) - 7*s(h). -5*h**3 - 3*h**2 + 1 Let f(y) = -50*y**2. Let p(k) = 7*k + 9. Let z be p(6). Let j = z + -49. Let h(i) = 7*i**2. Let m = 15 - 0. Calculate j*f(d) + m*h(d). 5*d**2 Let k(g) =
{ "pile_set_name": "DM Mathematics" }
ive d. 196 Rearrange -52*k - 187 + 99*k - 199 - 45*k to the form d*k + s and give s. -386 Express -3264 + 3264 + 119*r**2 in the form p + b*r**2 + u*r and give b. 119 Rearrange (3*q - 3*q + q**2)*(-39 - 55 - 33 - 4) to c*q**2 + d + g*q and give d. 0 Rearrange 44*n**3 - 452 + 452 + 3*n**3 - 4*n**3 + 4*n**3 + (-5*n**2 - 2*n**2 + 5*n**2)*(-2 + 2 + 8*n) to the form x + l*n**2 + m*n + y*n**3 and give m. 0 Express (5576*z + 77*z**3 - 5576*z)*(3*z - z - 4*z)*(0 + 1 - 7) as r*z**4 + g*z + v + t*z**2 + n*z**3 and give r. 924 Rearrange -4 - 3*z**4 + 0 + 5*z**4 + 36*z + 5 to the form s*z + t + a*z**4 + i*z**3 + m*z**2 and give t. 1 Express 2321 + 3*n**2 + 3*n**4 - 5*n**3 - 4637 + 2315 as k*n**2 + p*n + g*n**3 + f + o*n**4 and give k. 3 Rearrange t**2 + 35 - 2*t**4 - 2*t + 36 - 107 to j*t**2 + h + v*t**3 + o*t**4 + l*t and give l. -2 Express (-i - 1 + 1)*(0*i + 4*i - 5*i) - 4*i**2 + 6*i**2 + 4*i - 14 - 4 as c*i**2 + q*i + n and give n. -18 Rearrange (97 - 48 - 47 + 3*j)*(-6 + 7 + 6) to f + u*j and give f. 14 Express -6*o - o + 5*o - 51*o - 59*o + 84*o + (1 - 1 + 2*o)*(2 - 4 + 1) as k*o + j and give k. -30 Express 3094*i**4 - 3091*i**4 + 2*i**2 - 15*i - 24*i in the form d*i**3 + h*i**4 + y + t*i**2 + u*i and give d. 0 Rearrange 7*v + 22*v + 159*v to p*v + q and give q. 0 Express 55*c - 172*c - 56*c - 3 - 195*c in the form y*c + p and give y. -368 Rearrange (t**3 - 3*t**3 + 0*t**3 + (13*t**2 - 3*t**2 + t**2)*(t + t - 4*t))*(3 + 2 - 3) to the form a*t**2 + q + y*t + w*t**3 and give w. -48 Express 25 + 41 + 72 + d - 43 in the form r*d + c and give r. 1 Express (3 + 0 + 9 + (-1 + 6 - 3)*(-1 - 1 + 0))*(h + 5 - 5)*(-4*h - 1 + 1) - 11*h**2 - 21*h**2 + 5*h**2 as g*h + r*h**2 + d and give r. -59 Rearrange 144*j + 23956 - 23956 to z*j + v and give z. 144 Rearrange (3 - 1 - 1)*(-33*r - 16*r + 6*r) + (-1 - 1 + 3)*(-r - r + 4*r) - 1 + 1 + 2*r + 1 - 1 + 4*r to n*r + k and give n. -35 Express 3*u - 11*u + 2*u - 22*u**3 - 2 + 23*u**3 + 7*u**2 + 3*u in the form v + i*u**2 + a*u + d*u**3 and give i. 7 Rearrange -3*o**4 + o**2 - o**2 + (-2 + 2 - 2)*(o**4 + o - o) + (-81 + 37*o + 81)*(-6 + 2*o**3 + 6) to s*o**4 + l*o**2 + n + w*o + f*o**3 and give w. 0 Rearrange -2 + 195*m + 6 - 47*m + 14*m to q + f*m and give f. 162 Rearrange (3*y + y + y)*(2 - 1 - 2) + 3*y + y - y + (-2*y - 3*y + 4*y)*(-39 + 17 - 14) to n + p*y and give p. 34 Express (-1 - 8 - 1396*z + 1398*z)*(-3*z**2 + 1 - 1) as c + n*z**3 + m*z**2 + j*z and give n. -6 Express m**3 + 94*m**2 - 49*m**2 + 3*m - 59*m**2 as t*m**2 + s*m + i + p*m**3 and give i. 0 Express (-2 - 3 + 3)*(-4193*x**2 + 103*x**3 + 4193*x**2) - 2*x**3 + 2*x**3 - x**3 + (2 + x**3 - 2)*(4 + 0 - 7) in the form y + p*x**2 + j*x + f*x**3 and give f. -210 Rearrange -208*c + 19007 - 19007 - 88*c to a + j*c and give j. -296 Express (3 - 5*p - 4 + 1)*(-34 + 34 - 11*p)*(-4 - 1 + 3) as r*p**2 + v + j*p and give r. -110 Rearrange (i - 1 + 1)*(-6 - 1 + 1)*(0*i - 2*i + 4*i) to the form f + c*i + n*i**2 and give n. -12 Express (-30*n**2 + 61*n**2 + 154*n**2)*(2*n**2 - 6*n**2 + 2*n**2) in the form p*n + r*n**4 + j*n**2 + g*n**3 + k and give r. -370 Express 0*z**2 - z**3 - 3*z**2 + z - 2 - 7*z**2 + 3*z**3 as j*z**2 + x + f*z**3 + w*z and give f. 2 Express (-v**2 + v**2 + 3*v**2)*(-10*v**2 - 14 + 14) - 2135 - 51*v**4 + 2135 as b + c*v**4 + a*v**3 + m*v + h*v**2 and give c. -81 Rearrange 5*d - 33*d + 9 + 28*d + d**2 - 2*d**3 to q*d**3 + k + u*d**2 + b*d and give q. -2 Express -795*l - 5 + 3 + 676*l + 2*l**3 in the form t*l + j + h*l**2 + c*l**3 and give c. 2 Rearrange 276882*c - 276882*c + 100*c**2 - 322*c**2 to the form h*c**2 + o + z*c and give h. -222 Rearrange 49*n**4 + n + 4*n**2 - 3*n**2 + n**3 + 48*n**4 - 6*n**4 to x*n**4 + p + f*n + b*n**2 + w*n**3 and give b. 1 Express (3 - 3 + j)*(3 - 3 - j + (120 - 131 - 290)*(j - j - 2*j)) in the form t*j**2 + s*j + o and give t. 601 Express (-k + 5*k + 0*k)*(-1 + 0 + 0) + (-4 + 2 + 1)*(12*k + 46 - 46) in the form p + r*k and give r. -16 Express 3*z**4 + z**3 + 4*z**2 - 1 - 6 + 13 - z - z**4 in the form r*z**4 + w*z**2 + l + n*z + m*z**3 and give m. 1 Rearrange r**2 - 2 - 9*r**4 - 14*r**4 + 33*r**4 - 14*r**4 to t + u*r + n*r**2 + v*r**3 + z*r**4 and give t. -2 Rearrange (-293 - 144 - 755)*(-3*x**2 + x**2 + 0*x**2) to p*x + l*x**2 + h and give l. 2384 Rearrange -3*k - 15*k**3 + 0 + 29*k**3 - 10 - 2*k**2 + k**4 - 12*k**3 to the form c*k**2 + n + p*k**4 + r*k + h*k**3 and give h. 2 Rearrange (-2 - 924*k + 4 - 10 + 8)*(-5 + 0 + 4) to the form p + i*k and give i. 924 Rearrange 6*w**2 + 4*w**3 - 21 - 4*w**2 + 23 + 3*w**3 to i*w + r*w**2 + g + y*w**3 and give r. 2 Express (0 - 3 + 1)*(-2347 + 2347 + 35*v**2 + v)*(-v + 3*v + 0*v) + 2*v**3 - 3*v**3 + 2*v**3 as y + r*v**2 + q*v**3 + a*v and give q. -139 Rearrange 151 - 81 + 0*w**2 - 4*w**2 to o*w**2 + k*w + y and give y. 70 Rearrange 18*b**2 + 5*b + 18*b - 2 - 2 - 19*b**2 - 3*b**4 + 6 to i*b**4 + f*b**3 + g*b + p + l*b**2 and give g. 23 Rearrange 31 + 1 + 14 - 9 - m**2 - m**2 - 2*m to p + d*m + k*m**2 and give p. 37 Express -6*n**3 + 5*n**3 - 685 - 2*n**2 + n - 3*n**4 + 683 as b*n + j*n**2 + k*n**3 + c + m*n**4 and give b. 1 Express (f + f - 4*f)*(-72*f + 484 - 484 + (-1 + 1 - f)*(-3 + 0 + 2)) in the form h + l*f**2 + d*f and give l. 142 Rearrange (1 + 3*d - 1)*(-142*d - 173*d - 314*d) to the form h*d**2 + p*d + b and give h. -1887 Express (2*l + l**2 - 2*l)*(3 - 1 - 3)*(-6881*l**2 + 11262*l**2 - 5647*l**2) in the form w*l + k*l**3 + a*l**2 + r*l**4 + m and give r. 1266 Rearrange (800 - 102*k - 800 + 2*k**3)*(-3 + 3 - 1) to l + p*k**2 + z*k**3 + b*k and give z. -2 Rearrange 5 + 11 + 137*i**2 - 15 to the form p*i**2 + d + j*i and give p. 137 Express 5*y + 2*y - 9*y + 67*y**2 in the form n*y + p + u*y**2 and give n. -2 Express 1 + 30*z**2 - 31*z**2 - 9*z**3 - 5*z + 10*z as r + x*z**3 + k*z**2 + w*z and give r. 1 Express -6*i + 13*i**4 + 13*i**4 - 2 - 48*i**4 - i**2 + 14*i**4 - i**2 as f*i**3 + k + d*i**2 + m*i + g*i**4 and give k. -2 Rearrange 2*u**2 + 2*u - 36 - 31 + 56 + 9 to the form t*u + k*u**2 + s and give k. 2 Express -n**2 - 3*n + n**2 - 5*n**2 + 8*n + 3 + 2*n**2 in the form x*n**2 + a*n + j and give a. 5 Rearrange (3236 + 232*p - 3236)*(1 + 0 - 2)*(-5 + 0 + 4) to t*p + q and give t. 232 Rearrange 0 - 1 + 2*n**3 + 4*n**2 - 91*n + 43*n + 49*n to the form j + g*n**3 + f*n + d*n**2 and give g. 2 Rearrange -12483*m**3 - 2 - 2*m**2 + 12445*m**3 - m + m to the form d*m**3 + f*m + h + i*m**2 and give i. -2 Express (-z + 2*z + 0*z)*(-2*z - z + 2*z) + (2 - 9 - 10)*(-z - 4*z + 2*z)*(-z - 2*z - 2 - z) in the form j + c*z + b*z**2 and give b. -205 Express 81*q + 72*q + 5*q - 43*q as t + s*q and give t. 0 Express 2*x**2 - 63535 + x - 2*x**2 + x + 63536 - 127*x**3 in the form h*x**3 + k*x**2 + c + r*x and give r. 2 Express (-82840*r - 809*r**2 + 82840*r)*(-4*r - 2*r**2 + 4*r) as m*r**2 + l*r + y*r**3 + c + d*r**4 and give d. 1618 Rearrange 97*b - 49*b - 48*b + 303*b**2 to f*b**2 + d*b + o and give f. 303 Rearrange -85 + 33*v + 59*v + 41 + 42 to m*v + w and give w. -2 Express -34*x - x**2 + 15*x + 19*x + 9 - x**4 - 3*x**3 as v + j*x**4 + n*x**3 + f*x + t*x**2 and give n. -3 Rearrange (4*c**2 - 15*c + 7*c**2 - 10*c**2)*(-1 + 0 + 0)*(28 + 7*c - 28) to the form p + l*c**3 + r*c**2 + a*c and give r. 105 Express 16*l**2 - 31*l**2 + 13*l**2 - 93*l**3 + 570*l**3 as r*l + f + m*l**2 + d*l**3 and give d. 477 Rearrange -291*x**2 + 146*x**2 + 49*x + 148*x**2 to r*x**2 + k + q*x and give q. 49 Rearrange (2 - 5 + 2 + (0 + 5 - 6)*(-2 + 0 + 3) - 5 + 2 + 1 - 5 + 5 + 2 + (1 - 2 + 2)*(2 - 4 + 3))*(3*a + 0*a - 4*a) to c + x*a and give c. 0 Rearrange 4 - 178*k**2 - 2 + 2*k + 180*k**2 + 69*k**4 to o*k**4 + w*k**2 + s*k**3 + p*k + d and give s. 0 Rearrange -255 + 2*r + 81*r**2 + 488 - 235 - 2*r**3 to s*r**2 + i*r + k + j*r**3 and give s. 81 Rearrange 2*h + 437 - 2*h**2 + 2*h**3 - 183 - 119 to s + l*h + d*h**2 + a*h**3 and give s. 135 Express (5*z - 2*z + z - z + 3*z - 3*z + (2*z + 3*z - 3*z)*(-3 + 2 + 2))*(-4 + 4 - 3*z**3) as h*z**3 + j*z**2 + k*z + y + n*z**4 and give h. 0 Rearrange (1 + 3 + 6)*(2 - 6 + 2)*(4 + 0 - 3)*(-15*p + p - 19*p) to the form n*p + j and give n. 660 Express -n**3 + 0*n**3 + 0*n**3 + (6*n - 4*n - n)*(2 + 4*n**2 - 2) + 26*n**3 - 296*n**3 - 86*n**3 as f*n**3 + h + s*n + o*n**2 and give f
{ "pile_set_name": "DM Mathematics" }
-357*f**5 Expand (-20779*d**2 + 11998*d**2 + 10947*d**2)*(-d + 3*d - 3*d). -2166*d**3 Expand (0 + 0 + 1)*(-170*r + 70*r + 180*r)*(-5 - 15 + 9 - 34 - 35). -6400*r Expand (-95*n - 2 + 370*n + 71*n)*(-2*n**3 + 1 + 17*n - 17*n). -692*n**4 + 4*n**3 + 346*n - 2 Expand (76 + 29*j + 77 - 150)*(-6*j**3 + j**3 + 2*j**3 + (-j + 3 - 3)*(0*j**2 - j**2 - 3*j**2) - 1 + j**3 + 1). 58*j**4 + 6*j**3 Expand 2108*c**2 + 1636*c**2 - 4*c + 296*c**2 + (0 + 0 - 2)*(3 - 3 - 2*c**2). 4044*c**2 - 4*c Expand -t**2 + 2*t**2 + t**2 - 100*t**2 + 46*t**2 - 43*t**2 + (-6*t + 2*t + 3*t)*(11*t + 12*t - 2*t). -116*t**2 Expand 0*r + 3*r - 2*r + (0 + 3 - 4)*(3*r - 2*r - 2*r) + 0*r - r + 0*r + (-2 + 0 + 1)*(-2*r + 0*r + 4*r) - r - 2 + 2 + 12811 - 1517*r - 12811. -1519*r Expand (10*r - 6*r + 3*r)*(0*r + 0*r + 2*r**3) + 3*r**4 - 153199*r**2 - 5*r**4 + 153290*r**2. 12*r**4 + 91*r**2 Expand (-2 + s**2 + 2)*(0*s - 3*s + 5*s) + 205*s**3 + 17*s - 17*s - 36*s**3 - 73*s**2 + 73*s**2. 171*s**3 Expand (2 + 0 - 1)*(720*k**3 + 44937 - 44937)*(-4 + 4 - k). -720*k**4 Expand (-3 + 2 + 0)*(3*o - 3*o + 2*o) + 548 - 548 - 152*o - 2 + 2 - o + 1 - 1 + o + (-2 + 4 + 0)*(2*o - 2*o + o) - o + 2*o - 2*o + 2*o + 0*o + 0*o. -151*o Expand (-782 + 1562 - 861*w**2 - 781)*(-2*w + 6*w + w). -4305*w**3 - 5*w Expand (0*m + 0*m - 2*m**3)*(2*m - 4*m + m) + (555*m**2 + 230*m**3 - 555*m**2)*(-2 + 18*m + 2). 4142*m**4 Expand (-l**2 + 2*l**2 - 4*l**2)*(145639*l**2 + 971*l**3 - 145639*l**2) + 0*l + 0*l + l**5. -2912*l**5 Expand -4 + 4 + k**2 + k**2 + k**2 + 0*k**2 + (-4*k + 3*k - k)*(k - 5*k + 3*k) - 587*k**2 - 10308 + 10308 - 65*k**2 + (13*k - 9*k - k)*(-2*k + 1 - 1). -653*k**2 Expand (-4*z**3 + 2*z**3 + 0*z**3)*(-7 - 4*z - 68 + 917). 8*z**4 - 1684*z**3 Expand (1 + p**2 - 1)*(996 + 60 + 1764). 2820*p**2 Expand -850*g - 23*g**5 + 850*g + (2*g**3 + 4*g**3 - 4*g**3)*(2*g**2 + g**2 - 2*g**2) + 5*g**5 + 10*g**5 - 6*g**5. -12*g**5 Expand (-2 + 2 + 4*z)*(-7 + 8 - 8)*(-28 - 10 + 9 - 32). 1708*z Expand (52 + 119 + 520)*(g - g + 2*g). 1382*g Expand (-3 + 3 - k)*((0 + 8*k + 2*k + 2)*(184 - 116 + 120) + (4*k - k - k)*(3 - 1 - 3)). -1878*k**2 - 376*k Expand (-360*b - 95*b - 697*b)*(-1 - 1 + 0). 2304*b Expand ((3 - 3 - 2)*(3 - 4 + 3) + (3 - 6 - 11)*(-1 - 1 + 1))*(41*d - 2 + 2) + 4*d - 4*d + 2*d. 412*d Expand 4709*f**4 + 1555*f**4 + 517*f**4 - f + f + 2*f**4 + f**4 - 2*f**4 - f**4 + (3 + 2*f - 3)*(-2*f**3 + f - f) - 3*f**4 + 3*f**4 + 2*f**4. 6779*f**4 Expand 0*x**2 - 2*x**2 + 4*x + 0*x**2 + (-3*x - 10*x - 2*x)*(-47 + 6*x + 47) + (0*x + 0*x - x)*(-3*x + 4*x + x). -94*x**2 + 4*x Expand 13*p**5 - 242*p**5 + 197*p**5 - 180*p**4 + (2*p**5 - 5*p**5 + 4*p**5)*(2 - 4 + 4) + (0*p**3 + 2*p**3 + 0*p**3)*(-3*p + p**2 + 3*p). -28*p**5 - 180*p**4 Expand (-5*b**2 + 5*b**2 + 2*b**2)*(358 - 141 - 189). 56*b**2 Expand (l**2 - 2*l**2 - 4*l**2)*(-35 - 17*l + 35)*(2*l - 2 + 2) + 69*l**4 + 106*l**2 - 106*l**2. 239*l**4 Expand 5*u**4 - 4*u**4 + u**4 + (-2*u**3 + 0*u**3 + 4*u**3)*(-4 + 4 + 2*u) + 0*u**4 + 4*u**4 - 5*u**4 + 2 + 13*u**4 - 2 + (-2*u**4 - 2*u + 2*u)*(-39 + 0 - 1). 98*u**4 Expand (-3*g**3 - 4*g**3 + 4*g**3)*(4031477 - 4031476 - 993*g - 499*g). 4476*g**4 - 3*g**3 Expand (106 - 156 - 267 + 1856 + 147)*(-7*c**2 + 4*c**3 + 7*c**2). 6744*c**3 Expand (-5*x - 5*x**2 + x**2 - x)*(-155 + 155 + 72*x**3). -288*x**5 - 432*x**4 Expand (5*l**2 - 2*l**2 + 4*l**2)*(-645 - 607 + 1075)*(-2*l + 2*l - 2*l**2). 2478*l**4 Expand -85*b**4 - 86*b**4 + 136*b**4 + (5*b**3 - b**3 - 2*b**3)*(-2 + 19*b + 2). 3*b**4 Expand (m**2 - 537*m + 3 + 537*m)*(137*m + 170*m + 224*m). 531*m**3 + 1593*m Expand (-70*x + 70*x + x**2)*(0*x + 2*x - x) + (17*x + 30 - 30)*(-x**2 - 2 + 2). -16*x**3 Expand (4 + 26*f - 47*f + 19*f)*(-70*f**3 + 2*f**3 + 323*f**3). -510*f**4 + 1020*f**3 Expand (-2*x - 4 + 4)*(2*x**2 - x**2 - 2*x**2) + 4*x**3 - x**3 - x**3 - 1346248 - 1008*x**3 + 1346248. -1004*x**3 Expand (0 - 2 + 0)*(-14 - 3 + 6)*(-30*r + 122 + 32*r - 142)*(1 + 1 + 1). 132*r - 1320 Expand (-j - 4*j + 2*j)*(4*j**4 - 2*j**3 + 2*j**3) + (-18 + 78 - 29 + 151)*(2*j**3 - j**5 - 2*j**3). -194*j**5 Expand (3 - 2*j - 3)*(-214*j - 1046*j + 48*j)*(4 - 4 + 2*j) + 7*j**3 - 10*j**3 + 8*j**3. 4853*j**3 Expand ((3 - 4 - 1)*(-3 + 4 + 1) - 5 + 4 + 2)*(3*r**2 + 0*r**2 - r**2)*(-215 - 105 + 40)*(4*r**2 - 5*r**2 - 2*r + 5*r**2). 6720*r**4 - 3360*r**3 Expand (21 - 8 + 51)*(h**3 - 2*h**3 - 2*h**3)*(1 - 4 + 4)*(4 - 2 - 3). 192*h**3 Expand (c + c - c)*(4*c**2 + c**2 - 3*c**2) + (-156*c + 173*c - 132*c)*(-2*c**2 + 2*c**2 - c**2) - c**3 - 2*c**3 + 4*c**3. 118*c**3 Expand -b**2 + 5 - 8754100*b + 1076*b**5 + 8754100*b + (0*b**3 + b**4 + 0*b**3)*(-b + 2*b + b) + 2*b**5 - 3*b**5 + 0*b**5. 1077*b**5 - b**2 + 5 Expand (125*v - 18*v + 91*v)*(-5*v - v + 4*v)*((-1 + 0 + 0)*(3 - 4 + 0) + 36 - 5 + 9). -16236*v**2 Expand ((3 + 0 - 1)*(j + 2*j + 2*j) - 2 + 13*j + 2 + (3 - 2 + 1)*(-7*j + 2*j + 3*j) - 2*j + 2*j + j)*(1 - 14 - 1). -280*j Expand (0*b**3 + 7*b**3 + b**3)*(16*b**2 + 12*b**2 - 36*b**2). -64*b**5 Expand 0*t**4 - 2*t**4 + 16*t**2 - 17*t**2 + (-173*t**2 + 166*t**2 + 17*t**4 - 7*t**4)*(-1 + 2 - 3) - 2*t**4 + 0*t**4 + 0*t**4. -24*t**4 + 13*t**2 Expand (6*x**3 - 5*x**3 + 18*x**3)*(-4 - 3 + 5)*(-4 + 1 - 1) + (-18*x**3 + 9*x**3 - 10*x**3)*(3 - 5 + 1). 171*x**3 Expand -358564 + 358564 - 1336*x**3 - x**2 + x**2 - 2*x**3 + (3*x + 0*x - x)*(-x**2 - x**2 + x**2) - 4*x + 4*x - x**3. -1341*x**3 Expand (-2 - 6*r - 18 + 14)*(0*r - 8*r - 5*r). 78*r**2 + 78*r Expand 2337*o**3 - 726*o**3 + 9*o**2 - 299149 + 299149 + (-3*o + 3*o + o**2)*(-4*o + o + o) + 0*o**3 + 0*o**3 + o**3. 1610*o**3 + 9*o**2 Expand ((418*t - 98*t + 33*t)*(-3*t**2 + 0 + 0) + 2*t**3 + 0*t**3 + 0*t**3 + (0 + 2 - 1)*(-2*t**3 + 3*t**3 + 0*t**3))*(3*t**2 - t**2 - t**2). -1056*t**5 Expand (-2*i**2 - i**2 + 2*i**2)*(1640 - 1150 + 1452 + 1838). -3780*i**2 Expand (-3*w + 34*w - 6*w)*(-25*w**3 + 138421*w - 138421*w - 1). -625*w**4 - 25*w Expand (163826 - 163826 - 237*l)*(-1 - 2 - 1). 948*l Expand (-3*p**2 + 0*p**2 + 2*p**2 + (p - 4*p + p)*(2*p - p + 3*p))*(-22*p**2 + p**2 + 2*p**2)*(1 + 1 + 0 + 7*p). 1197*p**5 + 342*p**4 Expand -671*o**2 + 3209*o**2 + 1748*o**2 - 2*o**2 - 2*o**2 + 6*o**2 - o**2 + 3 - 3 + (-2*o + 4*o + 0*o)*(6*o - 4*o + 0*o) - 3*o**2 + 1 - 1. 4288*o**2 Expand (300905 - 1605*n - 300905)*(-10 + 7*n - 5*n - 6*n)*(1 - 3 + 0). -12840*n**2 - 32100*n Expand (0 - 23 - 10)*(-8701*k**4 + 3*k**5 - k**5 + 9*k**2 + 8708*k**4). -66*k**5 - 231*k**4 - 297*k**2 Expand (-3 + 5 + 1)*(3 - 3 + 1)*(2 + 4 - 5)*(4 + 0 - 2)*(-45*w**5 + 18*w**5 - 24*w**5). -306*w**5 Expand (-360 - 7240 - 2069 - 1135)*(u**2 - 2*u**2 + 0*u**2). 10804*u**2 Expand (3*c + 2 - 2)*(2*c**2 - 10 + 23 - 62). 6*c**3 - 147*c Expand (3 + 3 - 6 - 2928*r)*(-r**2 + 9*r**2 + 3*r**2). -32208*r**3 Expand 3*d - 9278 + 0*d**2 + 9279 + 3*d**2 + (14 - 14 + 4*d)*(-3 + 0 + 1)*(-d - 9 + 9). 11*d**2 + 3*d + 1 Expand (0*i**2 - i**2 + 0*i**2)*(2*i - 6*i + 3*i) + (2*i - 2*i - 2*i**2)*(-12 + i + 9 + 4) - 101*i**3 + 165*i**3 + 20*i**3. 83*i**3 - 2*i**2 Expand (-8*a**3 + 15*a**3 + 10*a**3)*(7 + 105 - 39 + 102 + 178). 6001*a**3 Expand (-2*k**2 - 3*k**2 + 4*k**2)*(5*k**2 + k**2 - 3*k**2) + 118*k**4 - 26*k**4 - 324*k**4. -235*k**4 Expand (11*b - 13 - 3 + 13)*(-14*b + 2*b - 3818 + 3819). -132*b**2 + 47*b - 3 Expand (x**2 - 66*x + 67*x - 148*x**3 + 222*x**3)*(5*x**2 - 4*x**2 + x**2). 148*x**5 + 2*x**4 + 2*x**3 Expand (10 - 3549*q - 702*q - 10)*(3*q + 0*q - 5*q). 8502*q**2 Expand (15*y**2 - 42*y**2 - 12*y**2)*(0 - 2*y - 1 - 3) + 6*y**3 + y**3 - 5*y**3. 80*y**3 + 156*y**2 Expand (-2*c**2 + 3*c**2 - 2*c**2)*(c - c**2 - c) + c**4 + c**2 - c**2 + 1491*c**4 - 1328*c**4 - 4502*c**4 - 4657*c**4. -8994*c**4 Expand 4*u**2 - 5*u**2 + 0*u**2 + (4*u + 0*u - 2*u)*(u - u + 2*u) + u**2 - 1 + 1 + 7*u**2 - 8*u**2 + 7*u**2 - 20*u - 17*u - 21*u + 142*u**2 + 944*u**2 + 52*u. 1096*u**2 - 6*u Expand (-2 + 2 + 2*g - 2)*(-668 - 719 + 805) - 5*g - 3*g - 4*g. -1176*g + 1164 Expand -3*k**4 + 5*k**4 - 4*k**4 + (4*k**2 + 120*k - 120*k + (-4 - 3 + 5)*(2 - 2*k**2 - 2))*(0*k - k - k)*(k - 29*k - 2561 + 2562). 446*k**4 - 16*k**3 Expand (-2*w**2 - 4*w + 4*w)*(0 - 5 + 3)*(-w + 2*w + 2*w) + (-2112 + 1055 + 1056)*(0*w + 2*w - w)*(1 + 1 - 1)*(-11*w + 4*w**2 + 11*w). 8*w**3 Expand 3*a - 5*a + a + (-4 + 3 + 2)*(-3 + 3 - 2*a) - 4*a - 4*a + 2*a + 182*a - 72 + 72 + 5*a - 2*a - 2*a. 174*a Ex
{ "pile_set_name": "DM Mathematics" }
6. Let n be (0 - 0)/(2 + -1). Suppose 2*j - 18 = -2*z, -2*j + 9 + 1 = n. Calculate the highest common factor of z and c. 4 Let u = -14625 + 14629. Calculate the greatest common factor of u and 11588. 4 Suppose -14*d = -9*d + 2*s - 24, -s - 27 = -4*d. Calculate the greatest common divisor of d and 2526. 6 Suppose 0 = 3*q + q - 16. Suppose -5*w = -6 - q. Suppose 2*r = -4*d, 4 - 3 = -d. What is the highest common factor of r and w? 2 Let n(u) = 2*u - 14. Let b = 27 - 20. Let x be n(b). Suppose -3*o - o + 92 = x. What is the greatest common factor of 46 and o? 23 Let r = 2576 - 2542. What is the highest common factor of 34 and r? 34 Let u = -11 + 15. Suppose -4*h - 3*m = -13, -h + 5*m - 4 = -13. What is the highest common divisor of u and h? 4 Let b(g) = g**2 + 9*g. Let q be b(-9). Suppose -4*f + 23 = -0*i + i, f - 5 = q. Let m be (-22)/i*(-78)/8*2. Calculate the highest common divisor of m and 13. 13 Let x be -24 + 19 - (-6 - -1). Let g be (5/5 - x) + 1. Suppose -58 = 2*t - 6*t + g*l, -3*t + 48 = 3*l. Calculate the highest common divisor of 3 and t. 3 Suppose -39 = -2*h + 3*n, 57*h + 2*n = 58*h - 17. Calculate the highest common divisor of h and 45. 9 Let a(q) = 29*q**2 - 41*q + 124. Let d be a(5). Calculate the highest common factor of 966 and d. 322 Let q = 124 + 294. Let j = 22208 - 22170. What is the highest common factor of j and q? 38 Let q be (0 + -3)/(-1)*6. Let y be 400/q - 12/54. Let s(u) = -16*u + 157. Let z be s(5). Calculate the highest common factor of y and z. 11 Let x(f) = 1224*f**2 - 2*f - 1. Let j be x(-1). Calculate the highest common divisor of 49 and j. 49 Let t = 255 - 239. Let q(y) = -21*y. Let f be q(-1). Let z be 2361/f + (-3)/7. Calculate the greatest common divisor of t and z. 16 Suppose -29*t - 4*w + 610 = -31*t, -5*t - 1555 = -4*w. Let j = t - -339. What is the highest common factor of j and 8? 8 Suppose -6*d + 348 = -2436. Let x = 532 - d. What is the greatest common factor of 119 and x? 17 Let m = -20 - -68. Let f be 3712/m - 4/(-6). Calculate the greatest common divisor of f and 104. 26 Let h(f) = 1328*f - 1268. Let t be h(4). What is the greatest common factor of 1 and t? 1 Let w be 9/((-324)/8) - (-362)/9. Let v(h) = 5*h**2 - 6*h - 127. Let a be v(-7). Calculate the greatest common factor of a and w. 40 Let y(j) be the second derivative of 3*j**5/10 + j**3/2 - 11*j**2/2 + 202*j. Let u be y(3). What is the greatest common divisor of u and 10? 10 Suppose -40 + 24 = 4*a. Let z be 203/(-29)*((-2)/2 - a). Let i be (z + -1)*25/(-50). Calculate the highest common divisor of 11 and i. 11 Suppose 3*s = -36*m + 34*m + 14, -4*m + 44 = 2*s. What is the highest common divisor of 7 and m? 1 Let q be (-230)/(-8) + (-12)/(-48) - -3. Let f(w) = w**2 + 29*w - 2. Let x be f(6). Calculate the greatest common divisor of x and q. 16 Let b be (0 + 55/10)*4756/58. Suppose 4*q - 266 = 62. Let c be (-1)/4*q*-2. What is the highest common factor of c and b? 41 Suppose -3*p - 2*g + 1342 = 0, 119*p - 117*p - g - 883 = 0. Calculate the greatest common divisor of p and 5994. 222 Suppose 0 = 13*i - 2193 - 3423. Let k(c) = -c**3 + 3*c + 48. Let a be k(0). Calculate the greatest common divisor of a and i. 48 Suppose 37*r = 15*r + 3740. Let o be ((-2)/(-9)*3)/(12/18). Let l be -4 + (o - (-142)/2). What is the greatest common factor of r and l? 34 Let h be 0 + 187 + (-738)/(-82). Calculate the highest common divisor of 2450 and h. 98 Let z be 0/(0 - -1) + 11. Let i(q) = 4*q**3 - 7*q**2 + 13*q + 3. Let t be (24 - 22)/(1 + 0 - 0). Let w be i(t). Calculate the greatest common factor of w and z. 11 Suppose -6*h + 3*h + 15 = 0. Let l(q) = q**3 - 16*q**2 + 70*q - 19. Let i be l(12). What is the highest common factor of i and h? 5 Let l be (1900 - -1 - (-70 + 61))*(-1)/(-2). Calculate the highest common factor of l and 50. 5 Let o(w) = -35*w - 44*w + 2*w**2 + 38*w + 14. Let j be o(22). Calculate the highest common divisor of 16 and j. 16 Let c(g) = g**3 + 22*g**2 - 23*g + 1. Let u be c(-23). Suppose q + 1 = -0*q. Let i be (66 - u)/(q - 4/(-2)). What is the highest common divisor of i and 13? 13 Let n(j) = 13*j + 1. Let q be n(1). Let w be 12 + 25/(-5) + 19. Suppose 0 = 10*r + w*r - 504. What is the highest common divisor of r and q? 14 Let f = -494 + 215. Let m = -239 - f. Calculate the greatest common factor of m and 360. 40 Suppose -5*z = -7*z - 8, -5*z = -w + 48. Calculate the greatest common divisor of 3556 and w. 28 Let c = -8 - -19. Let p = 26248 - 26105. Calculate the highest common divisor of c and p. 11 Let w = -58387 - -107562. Calculate the highest common divisor of 175 and w. 175 Let y be 6/27 - 548/36. Let g be (y - -21)*((-1)/(-2))/1. Suppose 4*q + v - g*v = 110, 142 = 5*q + 2*v. Calculate the greatest common factor of 7 and q. 7 Let t = 287 - 231. Suppose s + 0*s - 8 = 0. What is the highest common divisor of t and s? 8 Let g = -409 - -413. Suppose 4 = f + 2*c, 62 = 5*f - 8*c + g*c. What is the highest common factor of f and 110? 10 Suppose 0 = -5*u + 10, 23*y = 24*y + 2*u - 589. Calculate the greatest common divisor of 540 and y. 45 Let t be (23 + -27)*1/(-4) + (2 - -17). Calculate the highest common divisor of t and 740. 20 Let j = -4368 - -4372. Calculate the highest common factor of j and 1186. 2 Let n = 14225 + -14211. Calculate the greatest common factor of 40558 and n. 14 Suppose 3*b - 4 = d, 1 = 4*d + 4*b + b. Let j be (d - (-668)/8)/(5/10). Calculate the greatest common factor of 45 and j. 15 Let y be -3 - (3 - (-22)/1). Let x be y/((1 - 0)*-1). Let j(n) = n**2 + 2*n - 20. Let z be j(-6). What is the greatest common divisor of z and x? 4 Suppose -104 = -10*d + 2*d. Let r(k) = -k**2 + 11*k + 59. Let v be r(d). What is the highest common factor of v and 88? 11 Let g be 8/14 - 1982/14. Let d = -135 - g. What is the highest common factor of d and 2? 2 Suppose 0 = 5*b - 15 - 20. Suppose 2*p = -k + b*p + 459, -5*k - p + 2425 = 0. Calculate the highest common divisor of k and 44. 44 Let g(w) be the second derivative of w**5/20 - w**4/2 - 41*w**3/6 + 16*w**2 + 8*w - 2. Let z be g(10). Calculate the greatest common divisor of 33 and z. 11 Suppose 4*k - 478 = -5*g, 0*k - 376 = -4*g - 4*k. What is the highest common divisor of g and 132? 6 Let s(n) = -6*n + 2. Let w be s(5). Suppose -13*c + 131 + 311 = 0. Let b = c + w. Calculate the greatest common divisor of b and 42. 6 Suppose 2*t = 3*a - 15, -3*a - 6 + 21 = -3*t. Suppose t = -23*f + 22*f + 11. Let b = f - 4. What is the highest common divisor of 63 and b? 7 Suppose -28*l + 45*l = -75*l + 736. Let u = 677 + -109. Calculate the greatest common factor of u and l. 8 Let j be 186/(-248) - (-1726)/8. Calculate the highest common factor of 255 and j. 5 Suppose 157*k + 156*k = 1009425. What is the highest common divisor of k and 4085? 215 Let m(p) = -8*p**2 + 33*p + 104. Let s be m(6). Calculate the greatest common factor of s and 365. 1 Let l = -431 + 558. Suppose -22*s + 545 = l. What is the greatest common divisor of s and 152? 19 Let g = 7 - -14. Let z be (-2 + (24/(-28))/((-5)/175))*3. What is the greatest common factor of g and z? 21 Suppose 191*s - 27910 = 109*s - 8968. Calculate the greatest common divisor of 253 and s. 11 Suppose 0 = -13*l + 21*l - 96. Suppose -l*u - 218 = -4*t - 7*u, 2*u - 61 = -t. Suppose -114 = -4*b + 38. What is the greatest common divisor of t and b? 19 Let c be 127/3 - (-18)/27. Let s be (c/172)/((-1)/(-12)). Calculate the greatest common divisor of s and 57. 3 Let b be (-61)/((-5120)/464 + 11). What is the greatest common divisor of b and 232? 29 Suppose 3*a + a + 412 = 0. Let z = a - -112. Let u(f) = 3*f**2 - 5*f - 1. Let q be u(4). What is the highest common factor of q and z? 9 Let w be (-7315)/(-7) + -2 - (-11 - -20). Let l be (10/6 - 1)*33. Calculate the greatest common divisor of w and l. 22 Let o(w) be the first derivative of w**3 - 9*w**2 + 9*w - 68. Let b be o(12). What is the greatest common divisor of b and 25? 25 Suppose -45 = -4*k + 195. Let q(p) = -569*p + 3674. Let j be q(6). What is the highest common divisor of k and j? 20 Suppose 0 = 30*g - 4*g - 130. Suppose -4*f = -5*n - 713, f = -g*n + n + 194. What is the greatest common divisor of f and 13? 13 Let w be (-2854)/(-4)*4 - -2. Let i be (-4)/(-10) - w/(-10). Suppose -139 = -4*c + 5*r, 4*c +
{ "pile_set_name": "DM Mathematics" }
y - -317. Calculate the greatest common factor of 59 and w. 59 Suppose 51*q - 399*q + 323180 = -62*q. What is the greatest common factor of 430 and q? 10 Let z(m) = 416*m - 176. Let a be z(1). What is the greatest common divisor of 1040 and a? 80 Suppose -76*h + 27354 - 14310 = -21840. Calculate the greatest common factor of h and 969. 51 Suppose -5*f = -4*r - 584, 0 = -4*f + 41*r - 46*r + 418. Let a = -18 - -50. What is the highest common factor of f and a? 16 Let o = 172 - -101. Let g = 215 + o. Calculate the highest common factor of 8 and g. 8 Let r be 0*(-2 - -3)*1. Let m = 509 - 554. Let c be (r + m)*7/((-105)/9). What is the highest common factor of 108 and c? 27 Let l = -4 - -84. Suppose 10*n + 272 = -6*n. Let j be 51 + (-5 - n)/(-4). Calculate the highest common factor of j and l. 16 Let s = -6 + 19. Suppose 4*u - 884 = -4*g, -4*u - 741 = 3*g - 1625. Calculate the highest common divisor of s and u. 13 Let c(w) = 2*w**2 + 49*w + 50. Let h be 32/12*3*15/(-5). Let j be c(h). Let i be 13 - (3 - 1) - -2. Calculate the highest common factor of i and j. 13 Suppose 0 = 5*s - 4*b - 61, 5*b + 21 = 1. Suppose 0 = -9*n + 14*n - 300. Suppose n - 492 = -12*i. What is the greatest common divisor of i and s? 9 Let s be ((-224)/12 + 0)*(-14)/112*30. Calculate the highest common factor of s and 24430. 70 Let f(v) = v**2 - 18*v + 59. Let n = 400 - 396. Let i be f(n). What is the highest common divisor of i and 69? 3 Let l(f) = 2*f**2 - 4*f + 4. Let d be l(4). Let n be 18/((-5)/(d/(-8))). Suppose a - 2*a + 9 = 0. Calculate the greatest common factor of a and n. 9 Let a be 134/2 + -1 + 4. Suppose 2*f - 110 = -8*f. Suppose 39 - f = h. Calculate the highest common divisor of h and a. 14 Let d = -820 + 966. Suppose 3*x + p = 7*x - 6, 3*x - 3*p = 0. What is the highest common divisor of d and x? 2 Let j be 140/168 - 1 - (-1081)/6. What is the greatest common factor of j and 1332? 36 Suppose -s + 60 = -16*s. Let f(v) = 10*v**2 + 2*v - 2. Let t be f(s). Let u = 155 - t. What is the highest common factor of u and 55? 5 Let f = 96 - 21. Let b = 0 + -8. Let q(w) = w**3 + 7*w**2 - 9*w + 22. Let c be q(b). Calculate the greatest common factor of f and c. 15 Let q be 10/(-2) - (-140)/28. Suppose q = 228*h - 223*h - 40. What is the highest common factor of h and 56? 8 Suppose -d = -6, -3*k + 2*d + 887 = -1543. What is the greatest common factor of k and 44? 22 Let c be 12/42 + (-1074)/(-14). Let h(k) = -k**3 + 3*k**2 + 5*k + 2. Let d be h(5). Let o = d + c. What is the highest common divisor of 6 and o? 6 Let t(a) = -19*a**3 - 6*a**2 - 13*a - 14. Let v be t(-2). Calculate the greatest common divisor of v and 80. 20 Let b be -45*(8/2 + (-5 - -2)). Let a be ((3672/b)/(-8))/((-2)/(-10)). Let j = 59 - a. What is the greatest common divisor of j and 28? 4 Suppose 36*p - 6012 = 33*p - 3*t, -t + 4006 = 2*p. What is the greatest common divisor of 2366 and p? 182 Let o = -12 + 44. Let d(g) = g**3 + 14*g**2 + 15*g - 5. Let s be d(-15). Let z = -103 - s. Calculate the highest common factor of o and z. 32 Let b = -5523 + 5596. Calculate the greatest common divisor of 6497 and b. 73 Suppose n + 2*n = 2349. Suppose 273 = 22*v + 5*q, -46*v + 2*q - 3 = -43*v. Calculate the greatest common factor of v and n. 9 Suppose -2*u + 2*g + 54 + 34 = 0, -5*g - 85 = -2*u. Suppose -6*n + 881 + 1279 = 0. What is the highest common factor of u and n? 45 Suppose -a - 4*a = 2*p + 358, 2*p + 3*a = -354. Let y = p - -264. What is the highest common divisor of y and 45? 45 Let g be 9 - 7/(-28)*-8. Suppose -63*k = -57*k - 378. Calculate the greatest common factor of k and g. 7 Let x(f) = 7*f**2 - 27*f + 26. Let m(s) = 6*s**2 - 27*s + 26. Let a(w) = -6*m(w) + 5*x(w). Let k be a(17). Calculate the highest common divisor of 84 and k. 12 Let m(d) = 13*d**2 - 4*d - 4. Let x be m(-2). Suppose 9*u - 16 = x. Let k be 4*((-4588)/(-112) - u/(-28)). Calculate the greatest common factor of k and 33. 33 Suppose -a = 3*a + d + 109, 0 = -3*d - 15. Let y be (-9)/6*a + 1. Let c = y - 28. What is the highest common factor of 96 and c? 12 Let i(c) = 4*c**2 - 28*c - 72. Let m be i(12). Calculate the highest common factor of 7224 and m. 168 Suppose 11*v = -47 - 85. Let l be (0 - 2)/(v/90). Let a be 1*l*(10 + -9). Calculate the highest common divisor of a and 12. 3 Let b be (7 + 0)/((-1617)/(-10857)). What is the greatest common divisor of b and 94? 47 Let s(k) = k + 18. Let f be s(-10). Suppose -f*o + 15 = -7*o. Let h = o - 0. What is the greatest common divisor of 15 and h? 15 Let i = -226 - -217. Let p be (i - -399)/(1 - -1). What is the greatest common divisor of 78 and p? 39 Let g(i) = -i**3 + 5*i**2 + 58*i + 103. Let o be g(-22). What is the greatest common factor of 549 and o? 183 Let d(b) = 3*b**2 - 185*b - 2326. Let r be d(-11). What is the greatest common factor of 729 and r? 9 Suppose -c + 1 = 0, 5*t + 3*c - 4*c - 949 = 0. Let r(o) = 3*o**3 - 289*o**2 + 103*o - 634. Let h be r(96). Calculate the greatest common divisor of t and h. 38 Suppose 16958 = 19*v - 29720 - 46555. What is the highest common divisor of 21 and v? 7 Suppose 0*w + 72 = 3*w - 3*y, -w + 2*y + 28 = 0. Let v = -83 - -41. Let m be (v - -33)*20/(-3). What is the greatest common factor of w and m? 20 Suppose 4*s + s - 65 = 0. Let n(a) = -2*a**2 + 34*a + 26. Suppose 3*t = j + 2*t - 15, -2*t = -4. Let f be n(j). What is the highest common divisor of f and s? 13 Let j be (-2 - 24/(-11)) + 1145/55. Let i = 85 - 43. What is the highest common divisor of i and j? 21 Let t = 273 - 78. Suppose t + 38 = 5*x + 2*f, -5*x = -2*f - 217. Let a = x + -28. Calculate the greatest common divisor of 85 and a. 17 Let s(w) = -41*w + 74. Let k be s(0). Suppose -k - 346 = -5*h. Calculate the greatest common factor of 56 and h. 28 Let v(f) = f**3 - 11*f**2 + 7. Let p be v(-3). Let m = p - -354. What is the greatest common factor of m and 188? 47 Let r(u) = -u**3 - 16*u**2 + 36*u + 9. Let g be r(-18). Let a(o) = -o**3 + 5*o**2 + 16*o + 3. Let z be a(6). Calculate the highest common factor of g and z. 9 Let w(n) = n**3 + 13*n**2 - 7*n - 22. Let a be w(-11). Suppose -298*p + a*p = -48. What is the highest common divisor of p and 3? 3 Suppose 4*f + 3*q + q - 756 = 0, 945 = 5*f - 5*q. Let j be (-28)/8*(-29 + 23). What is the greatest common factor of f and j? 21 Let r be (6*-1)/(-5 + 4). Let w(v) = 82*v - 93. Let a be w(r). What is the greatest common factor of 57 and a? 57 Suppose 0 = 4107*f - 4089*f - 127494. What is the greatest common factor of 9 and f? 9 Let i = 654 + -554. Calculate the highest common factor of 325 and i. 25 Let y = -1053 - -1477. Let v = y + -260. What is the highest common divisor of 205 and v? 41 Suppose -31*c + 33*c - 160 = 0. Let m = c + 404. What is the highest common factor of m and 44? 44 Let n = 352 + -421. Let w = 139 - n. What is the greatest common factor of 24 and w? 8 Suppose -62*n + 56*n = -24. Suppose -2*y = -4*f + 1 + 5, -n*f = -5*y - 3. What is the greatest common factor of 1 and y? 1 Let z(q) = -2*q - 72. Let m be z(-7). Let c = -10 - m. What is the greatest common factor of c and 24? 24 Let w(f) be the first derivative of -f**2 + 30*f - 24. Let q be w(16). Let b be q - 25/(-5)*1. Calculate the highest common divisor of b and 4. 1 Let z(d) = -d**3 + 91*d**2 + 384*d - 76. Let n be z(95). What is the highest common factor of n and 10792? 152 Suppose -652*p + 37120 = -632*p. What is the highest common factor of 29 and p? 29 Suppose -5*n = -5*q - 26260, 51*q - 15726 = -3*n + 48*q. What is the greatest common factor of n and 159? 159 Let v(d) = -4*d + 4. Let q be v(-3). Let m = -35 - -231. Suppose 0 = 3*g + 8*o - 9*o - 122, -2*o + m = 5*g. What is the greatest common factor of g and q? 8 Let b(j) = 23*j**2 - j + 6. Let g = -17 + 20. Let n be b(g). Calculate the highest common factor of 63 and n. 21 Let x = -15636 + 15761. What is the highest common divisor of x and 35375? 125 Let g = -77 + 34. Let c = -39 - g. Suppose -c*n - 2*p + 40 = -94, 4*n + 5*p - 143 = 0. Calculate the greatest common divisor of n and 224. 32 Let j be (-13)/(65/(-1700)) - -2. Let z = j + -294. What is the highest common factor of 42 and z? 6 Let r = 44 + 30. Suppose -3*i - 17 = -r. Calculate the highest common divisor of i and 95. 19 Suppose 82 = -383*m + 1231. Calcul
{ "pile_set_name": "DM Mathematics" }
rs picked without replacement from ttkkkiitktiikt. 200/1001 What is prob of picking 2 f when two letters picked without replacement from {f: 2, d: 11, k: 7}? 1/190 What is prob of picking 1 j and 1 p when two letters picked without replacement from {p: 2, t: 1, j: 1, f: 2}? 2/15 What is prob of picking 1 u, 1 t, and 1 o when three letters picked without replacement from {t: 1, r: 2, o: 1, p: 1, v: 1, u: 1}? 1/35 What is prob of picking 3 n and 1 y when four letters picked without replacement from yyytqnyyqyyannnq? 1/65 Three letters picked without replacement from tattzztzazatt. Give prob of picking 1 z and 2 a. 6/143 Two letters picked without replacement from ffffflffffffffyfff. What is prob of picking 2 f? 40/51 Calculate prob of picking 1 j and 2 o when three letters picked without replacement from jjojobjitixijoj. 18/455 Three letters picked without replacement from tdeddddeee. Give prob of picking 2 e and 1 t. 1/20 Four letters picked without replacement from {z: 4, c: 3, l: 3, m: 1}. Give prob of picking 2 l and 2 c. 3/110 Calculate prob of picking 3 b and 1 s when four letters picked without replacement from {b: 1, y: 2, s: 2, k: 2, g: 5, t: 1}. 0 Two letters picked without replacement from ggfggsiggfggggsg. What is prob of picking 1 i and 1 s? 1/60 Calculate prob of picking 2 u when two letters picked without replacement from gguowuuuuguguugu. 3/10 Calculate prob of picking 1 w and 1 d when two letters picked without replacement from {d: 1, r: 1, w: 1}. 1/3 Three letters picked without replacement from {c: 2, q: 4, w: 3, p: 2}. Give prob of picking 1 q and 2 p. 4/165 Two letters picked without replacement from wwrrrwwrrrwwrw. Give prob of picking 2 r. 3/13 What is prob of picking 1 x and 3 u when four letters picked without replacement from {u: 5, x: 14}? 35/969 Four letters picked without replacement from {l: 1, k: 4, s: 2, c: 5, g: 2}. What is prob of picking 1 c, 1 k, and 2 g? 20/1001 What is prob of picking 2 l and 1 w when three letters picked without replacement from {w: 3, g: 1, l: 3}? 9/35 Calculate prob of picking 1 g, 1 v, and 1 h when three letters picked without replacement from {q: 1, g: 2, v: 2, i: 2, h: 1}. 1/14 Two letters picked without replacement from {l: 1, v: 1, u: 1, c: 1, p: 1}. What is prob of picking 1 u and 1 c? 1/10 Calculate prob of picking 1 m, 1 h, and 1 j when three letters picked without replacement from mmjhhmmh. 3/14 Four letters picked without replacement from zuxuurllzqzxxxxlzl. What is prob of picking 3 x and 1 r? 1/306 Calculate prob of picking 2 t when two letters picked without replacement from {t: 2, b: 5}. 1/21 What is prob of picking 2 p and 1 t when three letters picked without replacement from {p: 1, t: 1, f: 1, l: 1, o: 1}? 0 What is prob of picking 1 z, 1 d, and 1 q when three letters picked without replacement from ddqrhqz? 4/35 Two letters picked without replacement from {d: 7, z: 2}. Give prob of picking 2 d. 7/12 Calculate prob of picking 1 w, 2 j, and 1 z when four letters picked without replacement from wqqqzwjwqqwwjjwjwwwj. 6/323 Calculate prob of picking 1 b, 2 s, and 1 y when four letters picked without replacement from {s: 2, q: 1, b: 1, y: 2, l: 4}. 1/105 Calculate prob of picking 2 a when two letters picked without replacement from aaaaaaaaaaacanaaaacc. 12/19 Calculate prob of picking 1 d and 2 c when three letters picked without replacement from {c: 4, d: 3, m: 2, s: 3, h: 1, r: 3}. 9/280 What is prob of picking 1 r and 2 o when three letters picked without replacement from ormrrmmo? 3/56 Three letters picked without replacement from swwssswwswhww. What is prob of picking 3 s? 5/143 What is prob of picking 1 n, 1 k, and 1 e when three letters picked without replacement from {k: 3, c: 2, n: 2, q: 5, e: 8}? 4/95 Calculate prob of picking 1 o and 1 d when two letters picked without replacement from dlydlolyylo. 4/55 Calculate prob of picking 4 f when four letters picked without replacement from {f: 9}. 1 Calculate prob of picking 2 g when two letters picked without replacement from kgkggkk. 1/7 Two letters picked without replacement from {s: 2, b: 4, k: 1, m: 1, t: 7, o: 3}. What is prob of picking 1 s and 1 o? 2/51 Calculate prob of picking 2 q, 1 n, and 1 l when four letters picked without replacement from lalqldqllqnalrlanl. 4/255 Three letters picked without replacement from ddydcqdyyyddd. Give prob of picking 3 y. 2/143 Calculate prob of picking 2 f and 1 o when three letters picked without replacement from {q: 5, o: 2, f: 4}. 4/55 Three letters picked without replacement from {f: 11, w: 2}. What is prob of picking 1 f and 2 w? 1/26 Three letters picked without replacement from {v: 1, x: 4, y: 3, a: 1, b: 5}. What is prob of picking 1 v and 2 x? 3/182 What is prob of picking 2 x and 1 u when three letters picked without replacement from {b: 2, u: 1, y: 1, x: 3, s: 10}? 3/680 Two letters picked without replacement from {z: 13, a: 3, p: 4}. What is prob of picking 2 p? 3/95 What is prob of picking 1 q and 1 b when two letters picked without replacement from {i: 1, g: 1, q: 2, p: 2, o: 2, b: 5}? 5/39 What is prob of picking 1 s and 1 x when two letters picked without replacement from xuuzxsbyb? 1/18 What is prob of picking 1 q, 1 r, and 1 x when three letters picked without replacement from {l: 5, r: 1, w: 3, v: 8, x: 2, q: 1}? 1/570 Two letters picked without replacement from {e: 2, h: 10}. What is prob of picking 2 h? 15/22 Three letters picked without replacement from ljllljdjjlljjljlll. Give prob of picking 2 l and 1 j. 105/272 Three letters picked without replacement from ddddkdddkdddkdkkkdd. What is prob of picking 3 k? 20/969 Two letters picked without replacement from {c: 2, r: 1, e: 9, v: 3, d: 2}. Give prob of picking 1 d and 1 r. 1/68 Two letters picked without replacement from {h: 3, f: 5, s: 4, m: 1, v: 1}. Give prob of picking 2 h. 3/91 Two letters picked without replacement from {w: 2, k: 9, p: 1, m: 2}. What is prob of picking 1 p and 1 m? 2/91 Two letters picked without replacement from {f: 2, j: 3, m: 2, v: 3, p: 1, c: 3}. What is prob of picking 1 m and 1 p? 2/91 Two letters picked without replacement from ojojjoojjojooj. Give prob of picking 2 o. 3/13 Two letters picked without replacement from {r: 12, c: 1, p: 7}. What is prob of picking 1 p and 1 r? 42/95 Calculate prob of picking 2 s when two letters picked without replacement from {s: 2, v: 4, k: 3, u: 2}. 1/55 What is prob of picking 1 w and 2 p when three letters picked without replacement from aafwafpafpwwp? 9/286 Two letters picked without replacement from ftteaffttatfitftft. What is prob of picking 1 f and 1 e? 2/51 Calculate prob of picking 1 r and 2 w when three letters picked without replacement from {a: 5, r: 5, w: 2, u: 3}. 1/91 Calculate prob of picking 2 h when two letters picked without replacement from {a: 4, t: 3, h: 11}. 55/153 Calculate prob of picking 1 p and 1 b when two letters picked without replacement from {m: 5, p: 3, b: 1}. 1/12 What is prob of picking 1 z and 1 c when two letters picked without replacement from {c: 2, l: 1, z: 1, j: 2}? 2/15 Three letters picked without replacement from mmmmm. What is prob of picking 3 m? 1 Two letters picked without replacement from iippiipnpiippnpi. What is prob of picking 1 p and 1 i? 49/120 Four letters picked without replacement from ffrfrgfgfjfffyff. Give prob of picking 2 f, 1 j, and 1 g. 9/182 What is prob of picking 1 t and 1 x when two letters picked without replacement from {x: 2, s: 10, k: 1, b: 4, t: 1}? 2/153 What is prob of picking 2 c, 1 r, and 1 f when four letters picked without replacement from ffrrfcfffcffrffff? 9/595 Two letters picked without replacement from noovbboovvaqaqbabn. What is prob of picking 1 v and 1 a? 1/17 What is prob of picking 1 c and 2 r when three letters picked without replacement from rrrrccrcrr? 21/40 What is prob of picking 3 o when three letters picked without replacement from ococooouu? 5/42 Calculate prob of picking 1 w and 1 u when two letters picked without replacement from cwcyccwuycyywc. 3/91 Three letters picked without replacement from {a: 5}. What is prob of picking 3 a? 1 Calculate prob of picking 3 i when three letters picked without replacement from mdmiiidimiiidmii. 3/20 Calculate
{ "pile_set_name": "DM Mathematics" }
lect the terms in 20 - 13 - y**2 - y**2. -2*y**2 + 7 Collect the terms in 0*u - 20*u**2 - 31*u**2 + 3*u - 2*u. -51*u**2 + u Collect the terms in -5*z**2 - 14*z**2 + 21*z**2. 2*z**2 Collect the terms in 4*i - 23 + 4 + 9. 4*i - 10 Collect the terms in 53*b**3 - 92*b**3 + 41*b**3. 2*b**3 Collect the terms in -3 - 3 + 6 - 145*g. -145*g Collect the terms in -3*r**3 + 81 - 4*r**3 - 81. -7*r**3 Collect the terms in 389*y**3 - 3*y**2 + 3*y**2. 389*y**3 Collect the terms in -3*l - 2*l + 3*l + 6*l. 4*l Collect the terms in -21*p**2 + 6*p**3 - 3*p**3 + 3*p**3 - 2*p**3. 4*p**3 - 21*p**2 Collect the terms in 6*h - 17*h**2 - h - 5*h. -17*h**2 Collect the terms in -2*d**2 + 5*d**2 - 3*d**2 + 4*d**3 + 0*d**2. 4*d**3 Collect the terms in 0*f + 21*f - 3 + 2 + 2*f. 23*f - 1 Collect the terms in 4*h**2 + 8*h**2 + 0*h**2 - 6*h**2. 6*h**2 Collect the terms in 12*o - 12*o - 7*o**2 - 8*o**2. -15*o**2 Collect the terms in 181*j**2 - 4 - 179*j**2 + 4. 2*j**2 Collect the terms in 2332 - 2332 + 2*x**3. 2*x**3 Collect the terms in 5*l + 4*l + 2*l. 11*l Collect the terms in -7*q - 12*q + 17*q + q. -q Collect the terms in -s**2 - 8 + 2 + 4 + 1. -s**2 - 1 Collect the terms in 138 - 63 + x - 68. x + 7 Collect the terms in i**2 + 12*i**2 - 18*i**2. -5*i**2 Collect the terms in 178*b**3 + 3*b - 3*b - 175*b**3. 3*b**3 Collect the terms in 3*q**2 - 35*q - q**2 - 3*q**2 + 35*q. -q**2 Collect the terms in -2*c**3 + 664*c - 341*c - 323*c. -2*c**3 Collect the terms in -380*p + 0 + 514*p + 0. 134*p Collect the terms in -1 + 0*m**2 - 3*m**2 + 5*m**2 - 5*m**2. -3*m**2 - 1 Collect the terms in 29 + 8*p**2 - 29. 8*p**2 Collect the terms in -24*r - 50*r - 114*r - 18*r. -206*r Collect the terms in 28 + 7*y - 59 + 6*y + 31. 13*y Collect the terms in 7 + s**2 + 6*s**2 - 7. 7*s**2 Collect the terms in -1 - 2 + 28*y**3 + 3. 28*y**3 Collect the terms in 27*t + t**2 + 19*t - 46*t. t**2 Collect the terms in -8263*s**3 + 4132*s**3 + 4120*s**3. -11*s**3 Collect the terms in -140*f - 126*f + 260*f. -6*f Collect the terms in -101*o**2 - 3 - 96*o**2 + 61*o**2 + 2. -136*o**2 - 1 Collect the terms in -3*f**3 + 108*f - 108*f. -3*f**3 Collect the terms in 3*y + 90 + 88 - 268 + 90. 3*y Collect the terms in 4*a**2 - 2*a**2 - 4*a**3 - 2*a**2. -4*a**3 Collect the terms in 13 + 12 - 4*f**2 - 25. -4*f**2 Collect the terms in -5 - c - c + 1 - 1 - 11. -2*c - 16 Collect the terms in -250*t**2 - 4*t + 4*t. -250*t**2 Collect the terms in -22614 - 2*z**3 + 5*z**3 + 22614. 3*z**3 Collect the terms in -4*i**2 - 18*i**2 + 9*i**2. -13*i**2 Collect the terms in 12*o - 22*o + 16*o. 6*o Collect the terms in 38*t - 852 + 852. 38*t Collect the terms in -59 - s**2 - s**2 + 59. -2*s**2 Collect the terms in 0*f**2 + 2*f**2 + 49*f**2. 51*f**2 Collect the terms in -8*c**2 + c**2 - c**2 + 7*c**2. -c**2 Collect the terms in -50*b - 94*b + 48*b - 40*b. -136*b Collect the terms in -226*u + 677*u - 233*u - 225*u. -7*u Collect the terms in 3*u**2 - 4*u**2 - 3*u**2. -4*u**2 Collect the terms in -33*x + 14*x + 13*x + 6*x - 3*x**3. -3*x**3 Collect the terms in 137*b - 60*b - 68*b. 9*b Collect the terms in -72 + 245*g - 229*g + 72. 16*g Collect the terms in 20 + 0*v**3 - 5*v**3 + 2*v**3. -3*v**3 + 20 Collect the terms in -8 - 3*i + 177 + 4*i. i + 169 Collect the terms in 53*m**2 - 37*m**2 - 16*m**2 - 10*m**3. -10*m**3 Collect the terms in 32*p - 71*p + 35*p. -4*p Collect the terms in 14*t + 7*t + 5*t - 13*t. 13*t Collect the terms in 1104*k**3 + 1113*k**3 - 2232*k**3. -15*k**3 Collect the terms in 14*g + 64*g - 15*g + g. 64*g Collect the terms in 5*v - 3 + 3 - 6*v. -v Collect the terms in 2*v**2 + 80 - 2*v + 2*v. 2*v**2 + 80 Collect the terms in 0 + 0 + 0*n**3 - 2*n**3. -2*n**3 Collect the terms in -101*d**3 - 74*d**3 + 67*d**3. -108*d**3 Collect the terms in 9*z**2 + 11*z**2 - 29*z**2. -9*z**2 Collect the terms in 0*s + 2*s + 27*s**2 - 2*s. 27*s**2 Collect the terms in 137061*s**2 - 68532*s**2 - 68532*s**2. -3*s**2 Collect the terms in 410136 - j - 410136. -j Collect the terms in -3*b + 2*b - 4 - 58 - 122. -b - 184 Collect the terms in -10*l**2 + 25*l**2 - 10*l**2. 5*l**2 Collect the terms in -860*z - 861*z + 1725*z. 4*z Collect the terms in -65*g**3 + 97*g**3 + 143*g**3. 175*g**3 Collect the terms in -8*r**3 - 16*r + 2*r**3 + 4*r**3. -2*r**3 - 16*r Collect the terms in 7*d**2 - 18*d**2 + 0*d**2 + 6*d**2. -5*d**2 Collect the terms in 26 - 88 - s + 33 + 29. -s Collect the terms in 1533*f - 2*f**3 - 1533*f. -2*f**3 Collect the terms in -2*g + 4*g - 6*g + 2 + 5. -4*g + 7 Collect the terms in 15*y**3 + 6*y**3 + 356 + 4*y**3 - 356. 25*y**3 Collect the terms in 2*v**3 + 2*v**3 - 8*v**3. -4*v**3 Collect the terms in 18*f**3 - 58*f**3 + 30*f**3. -10*f**3 Collect the terms in -7*l + 0*l + 10*l**2 + 2 - 2. 10*l**2 - 7*l Collect the terms in -4053*i**2 + 61*i**3 + 7*i**3 + 4053*i**2. 68*i**3 Collect the terms in 6*z - 121*z**3 - 6*z. -121*z**3 Collect the terms in -12*u**3 - 2 + 2 - 16*u**3. -28*u**3 Collect the terms in a**3 + 5*a**3 - a + 2*a + 2*a. 6*a**3 + 3*a Collect the terms in 16807231*j - 16807231*j - j**2. -j**2 Collect the terms in 0*i - i + i + 11*i**3. 11*i**3 Collect the terms in 30*v + 35*v - 61*v. 4*v Collect the terms in -4*s**2 + 2*s - 11*s**2 + 6*s - s. -15*s**2 + 7*s Collect the terms in a**3 + 58*a**2 - 58*a**2. a**3 Collect the terms in 3 - 8 + 5 + 178*c**3. 178*c**3 Collect the terms in 5 + 24*v - 5 - 19*v. 5*v Collect the terms in -15 + 13*h**2 - 30 + 45. 13*h**2 Collect the terms in -64*t**2 + 2*t + 18*t**2 - 2*t. -46*t**2 Collect the terms in -13*n + 8*n + 6*n. n Collect the terms in -9*p - 9*p + 22*p. 4*p Collect the terms in -75*s**2 + 1970 - 1970. -75*s**2 Collect the terms in -27*s**2 - 26*s**2 - 28*s**2 + 78*s**2. -3*s**2 Collect the terms in -5*p**3 - 40*p**3 - 27*p**3. -72*p**3 Collect the terms in -2 - 3*g**2 - g**2 + 13*g**2 + 5*g**2. 14*g**2 - 2 Collect the terms in -38*q**2 + 8*q + 6*q**2 - 22*q**2. -54*q**2 + 8*q Collect the terms in -20*g - 36*g - 38*g + 30*g. -64*g Collect the terms in -34 - 11 + 2*y + 18. 2*y - 27 Collect the terms in -8*z - 8*z + 0*z. -16*z Collect the terms in -31*a - 44*a + a + 10*a. -64*a Collect the terms in -p - 796 + 796. -p Collect the terms in -4 - n + 3 - 4. -n - 5 Collect the terms in 4*t**3 + 7*t**3 - 3*t**3. 8*t**3 Collect the terms in 2 - 6*j - j**2 + 6*j - 1. -j**2 + 1 Collect the terms in 17*i**2 - 20*i**3 + 10*i**2 - 27*i**2. -20*i**3 Collect the terms in -5*p + 44*p**2 - 3*p**2 + 5*p. 41*p**2 Collect the terms in -1 - 3 + 4 + 25*b. 25*b Collect the terms in -415*i**2 - 203*i**2 + 165*i**2. -453*i**2 Collect the terms in -10*s - 7*s - 6 - 2 + 12*s. -5*s - 8 Collect the terms in 21 - 38*c**2 - 21. -38*c**2 Collect the terms in 62396*f + f**3 - 62396*f. f**3 Collect the terms in -4 + 4 + 29*x. 29*x Collect the terms in -11 + 7 - 3*x + 7*x - 12. 4*x - 16 Collect the terms in 31*j - 3 - 53*j + 3. -22*j Collect the terms in -396*r - 2 + 2 + 15*r**2 + 394*r. 15*r**2 - 2*r Collect the terms in -17*f - 4*f + 11*f + 7*f. -3*f Collect the terms in 126*z - 4*z**2 - 126*z. -4*z**2 Collect the terms in -8703*s**2 + 8707*s**2 + 5*s - 5*s. 4*s**2 Collect the terms in -2*m**2 - 91 + 91. -2*m**2 Collect the terms in 258*j**2 - 137*j**2 - 122*j**2. -j**2 Collect the terms in 664579 - 5*o - 664579. -5*o Collect the terms in 19 - 8*a - 92 + 49 + 24. -8*a Collect the terms in 163 + i - 329 + 151. i - 15 Collect the terms in 5*n**2 + 2*n**2 - 8*n**2 + 4*n**2. 3*n**2 Collect the terms in -118*a**2 + 118*a**2 + 4*a**3. 4*a**3 Collect the terms in -5*i + 5*i**3 - 4*i + 9*i - 5*i**2. 5*i**3 - 5*i**2 Collect the terms in 49*v + 165*v + 614*v + 70*v - 2. 898*v - 2 Collect the terms in 0*b + 16*b - 2*b + 2*b**2. 2*b**2 + 14*b Collect the terms in -4*j**2 - 4817 + 4817 + j. -4*j**2 + j Collect the terms in -33*y**3 + 14*y**3 + 24*y**3. 5*y**3 Collect the terms in 803 + 6*q**2 - 803. 6*q**2 Collect the terms in 25*d + 0 + 50*d - 78*d + 0. -3*d Collect the terms in 21 + v + 25 - 46. v Collect the terms in 150 - 150 - 2*c. -2*c Collect the terms in -3485*g**2 + 1724*g**2 + 1746*g**2. -15*g**2 Collect the terms in 4*t + 25*t + 37*t. 66*t Collect the terms in z**2 + 13141634*z - 13141634*z. z**2 Collect the terms in -7*x**2 + 6*x**2 + 0*x**2. -x**2 Collect the terms in 177*p**3 + 617*p**3 + p - p. 794*p**3
{ "pile_set_name": "DM Mathematics" }