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pile-dm_mathematics

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e terms in -m**2 - 5*m**2 - 23*m**2 + 5*m**2. -24*m**2 Collect the terms in -9*n**2 - 3 + 11*n**2 + 3 - n**2. n**2 Collect the terms in -1 - 10*d - 3*d - 2*d + 7*d. -8*d - 1 Collect the terms in 1 - 631*s - 1 + 314*s + 315*s. -2*s Collect the terms in 6*b - 20*b - 28*b**2 + 14*b. -28*b**2 Collect the terms in 20*g**2 - 37*g**2 + 18*g**2. g**2 Collect the terms in -4*g - 3*g + 10*g - 3*g**2 + 4*g + 5*g. -3*g**2 + 12*g Collect the terms in 10951284 - c - 10951284. -c Collect the terms in -6*p**2 + 0*p**2 - 2*p**2 + 9*p**2. p**2 Collect the terms in 18*t + 14*t + 19*t + 14*t - 59*t. 6*t Collect the terms in -30*q + 2*q**2 - 35*q + 95*q - 30*q. 2*q**2 Collect the terms in 2*q**3 + 14*q**3 + 11*q**3. 27*q**3 Collect the terms in -10*x + 16*x - 50*x - 37*x. -81*x Collect the terms in -40*r - 1 + 14*r + 1. -26*r Collect the terms in -144 - 10*t**2 + 144. -10*t**2 Collect the terms in -7*s + 9*s + 11*s + 14*s. 27*s Collect the terms in 46*g + 37*g - 83*g + 39*g**3. 39*g**3 Collect the terms in -23*s + 45*s - 17*s. 5*s Collect the terms in -5*q - 6*q - 5*q**3 + 11*q. -5*q**3 Collect the terms in -33*i**2 + 49*i**2 - 34*i**2. -18*i**2 Collect the terms in 8*s**2 + 10*s**2 + 6*s**2 - 9*s**2. 15*s**2 Collect the terms in -46823*c**3 - 46829*c**3 + 93649*c**3. -3*c**3 Collect the terms in k**3 - 9*k**2 - 3*k**3 + 9*k**2 + 5*k**3. 3*k**3 Collect the terms in -13*p + 36*p - 3*p**2 - 23*p. -3*p**2 Collect the terms in -556*u**2 + 556*u**2 - 4*u**3. -4*u**3 Collect the terms in 5*a**3 + 8 - 3*a**3 - a**3 - 4*a**3. -3*a**3 + 8 Collect the terms in 0*h + 3*h + 2*h. 5*h Collect the terms in 6564*d**3 - 6566*d**3 + 34*d - 34*d. -2*d**3 Collect the terms in 2*f - 12*f**3 + 10*f**3 - 2*f. -2*f**3 Collect the terms in 3*q**2 + 1133 - 1133. 3*q**2 Collect the terms in 53*f**3 - 17*f**3 - 34*f**3. 2*f**3 Collect the terms in 10*w**3 - 1573*w**2 + 1573*w**2. 10*w**3 Collect the terms in -s + 1 - 112*s**2 - 2 + s. -112*s**2 - 1 Collect the terms in -5*n**3 + 4*n**3 - 10*n**3. -11*n**3 Collect the terms in -a**2 + a**2 + 5*a**3 + 8*a**3. 13*a**3 Collect the terms in -43*f**2 + 13*f**2 - 6*f**2 - 17*f**2. -53*f**2 Collect the terms in -1 + 2 - 1 + 29*b**2. 29*b**2 Collect the terms in -65*q + 65*q + 12*q**3. 12*q**3 Collect the terms in 4074*p + 3*p**2 - 4074*p. 3*p**2 Collect the terms in -42*l**2 + 26*l**2 + 9*l**2. -7*l**2 Collect the terms in 89*p - 10*p**2 - 89*p. -10*p**2 Collect the terms in -72*s**3 + 104*s**3 - 26*s**3. 6*s**3 Collect the terms in -6*p**2 + 70*p - 70*p. -6*p**2 Collect the terms in 23*r**2 - 8*r**2 + 7*r**2. 22*r**2 Collect the terms in -6*f**2 + 6*f**2 + 6*f**2. 6*f**2 Collect the terms in 2 - 9 - 299*d + 7. -299*d Collect the terms in -5664 + 17*d**2 + 5664. 17*d**2 Collect the terms in -34*d**2 - d**2 - 32*d**2. -67*d**2 Collect the terms in -14*j + 21*j - 21*j. -14*j Collect the terms in 3*m - 3*m + 0*m + 90*m**3. 90*m**3 Collect the terms in -5*c**3 - 8*c + 8*c + 16*c**3 - 10*c**3. c**3 Collect the terms in 7*o**2 - 9*o**2 + 0*o**2. -2*o**2 Collect the terms in 329*w + 5 - 5 + 332*w - 691*w. -30*w Collect the terms in 3*k**2 + 32*k - 2*k**2 - 20*k - 12*k. k**2 Collect the terms in 37 + 135*q**3 - 143*q**3 - 76 + 39. -8*q**3 Collect the terms in 9*h**3 + 9*h**3 + 10*h**3 - 21*h**3. 7*h**3 Collect the terms in 61*w**2 + 0 + 0. 61*w**2 Collect the terms in 0*x + 14*x - 3*x + x. 12*x Collect the terms in 483*c**3 - 242*c**3 - 239*c**3. 2*c**3 Collect the terms in 9851*u + 84*u**2 - 9851*u. 84*u**2 Collect the terms in -15*c + 21*c + 2 + 24*c + 5*c. 35*c + 2 Collect the terms in 238*z**2 + 255*z**2 - 479*z**2. 14*z**2 Collect the terms in -2*j**2 + 2 + 5 - 7. -2*j**2 Collect the terms in -5 - 1 + 6 - 6*s. -6*s Collect the terms in 870 + 3*d - 870 + 205*d**2. 205*d**2 + 3*d Collect the terms in -72*i**3 + 0*i**3 - 18*i**3. -90*i**3 Collect the terms in -148*h + 9 - 9 - 158*h + 305*h. -h Collect the terms in 82*a**2 - 66*a**2 - 91*a**2. -75*a**2 Collect the terms in -13*t - 41*t - 15*t. -69*t Collect the terms in v**3 - 57*v**2 + 57*v**2. v**3 Collect the terms in 868*o**3 - 441*o**3 - 437*o**3. -10*o**3 Collect the terms in 114*n - 122*n + 12*n. 4*n Collect the terms in -10*d + 2*d + 8*d + d - 3*d. -2*d Collect the terms in 3*i - 3*i - i - i. -2*i Collect the terms in -168475 + 168475 + 2*z**2. 2*z**2 Collect the terms in 141 + 5*p - 67 - 74. 5*p Collect the terms in 32*l**3 - 78*l + 78*l. 32*l**3 Collect the terms in 10*o**3 + 13*o**3 - 24*o**3. -o**3 Collect the terms in -83*o + 12*o + 8*o + 0 + 2. -63*o + 2 Collect the terms in 102*x**3 - 20*x**2 - 104*x**3 + 20*x**2. -2*x**3 Collect the terms in -2213*y**3 - 3*y + 2212*y**3 + 3*y. -y**3 Collect the terms in 1428*l + 2 + 2 - 4. 1428*l Collect the terms in 15*o**3 - 40*o**3 + 7*o**3 + 16*o**3. -2*o**3 Collect the terms in 38561*v**2 - 38561*v**2 - 6*v**3. -6*v**3 Collect the terms in -75*n - 33*n + 12*n. -96*n Collect the terms in 3*u + 33 - 13 + 2*u. 5*u + 20 Collect the terms in 350*y**3 - 79*y**3 + 100*y**3. 371*y**3 Collect the terms in -1 + 1 - 8*s + s - 2*s. -9*s Collect the terms in 49*j**2 + 82*j**2 + 21*j**2. 152*j**2 Collect the terms in 58*c - 65*c - 3 + 3. -7*c Collect the terms in 7*x + 3 - 3 - 3 + 3. 7*x Collect the terms in 2*j + 6*j + 5*j. 13*j Collect the terms in 150*a**3 - 1 - 2 + 3 - 147*a**3. 3*a**3 Collect the terms in 2*n**2 + 0*n**2 - 6*n**2. -4*n**2 Collect the terms in 19*x - 11*x - 7*x - 11*x. -10*x Collect the terms in 1 + k**2 - 1. k**2 Collect the terms in -3*v - 3*v + 6*v + 2*v**2. 2*v**2 Collect the terms in 27*g - 3*g**3 + 25*g - 6*g - 3*g. -3*g**3 + 43*g Collect the terms in -932213 + d**2 + 932213. d**2 Collect the terms in -22*t - 12*t + 48*t - 16*t. -2*t Collect the terms in 461723*o - 3*o**2 - 461723*o. -3*o**2 Collect the terms in -41*f**3 - 32*f**3 - f + 75*f**3 + f. 2*f**3 Collect the terms in -2*r - 4*r - 5*r + 7*r. -4*r Collect the terms in -812*z**2 - 366*z**2 - 1 + 1. -1178*z**2 Collect the terms in 5 - 2 + 18 - 21 + 5*l**2. 5*l**2 Collect the terms in 4*w**2 - 4*w**2 - 668*w**3 + 671*w**3. 3*w**3 Collect the terms in -17805*l + 17805*l - 4*l**3. -4*l**3 Collect the terms in -15 + 15 - 6*t. -6*t Collect the terms in 8*z**2 - 40*z**2 - 83*z**2 + 12*z**2. -103*z**2 Collect the terms in -46*d - 53*d + 102*d. 3*d Collect the terms in -9*t**2 + 2 - 2 + 0*t**2. -9*t**2 Collect the terms in -5 - 12 + 15*h**2 + 27 - 10. 15*h**2 Collect the terms in 0*s**2 + 13*s**2 - 10*s**2. 3*s**2 Collect the terms in 1 + 26*a**3 - 1. 26*a**3 Collect the terms in 10*v - 5*v + 2*v - 5*v. 2*v Collect the terms in -675 - b + 675 + 0*b. -b Collect the terms in -15 - 3 + 11 - 2*k + 7. -2*k Collect the terms in 15*i + 17*i + 30*i - 83*i + 24*i. 3*i Collect the terms in k - k + 2*k**2 - 21 - 52. 2*k**2 - 73 Collect the terms in 0*b**2 + 0*b**2 + 4 - 9 - 3*b**3. -3*b**3 - 5 Collect the terms in 2*a - 109 + 2*a - a + 99. 3*a - 10 Collect the terms in 0*i - 4*i + 3*i + 4*i**2. 4*i**2 - i Collect the terms in 27322*y**2 + 8 - 27318*y**2 - 8. 4*y**2 Collect the terms in 8*n - 4*n - 6*n + 3*n. n Collect the terms in 17*c**3 + 10*c**3 + 12*c**3 - 45*c**3 + 11*c**3. 5*c**3 Collect the terms in -2*o + o - 7*o - 2*o + 8*o. -2*o Collect the terms in -18*y + 0 + 31*y - 9*y + 0. 4*y Collect the terms in -h**3 + 45 + 0 + 7 - 52. -h**3 Collect the terms in 151*i**2 - 35*i**2 - 118*i**2. -2*i**2 Collect the terms in 10*w**3 - w - 4*w**2 + 4*w**2. 10*w**3 - w Collect the terms in 278*q + 273*q + 277*q - 1107*q + 277*q. -2*q Collect the terms in 0 + 3 - 3 + 7*r. 7*r Collect the terms in 7*c**2 + 3 + 0 - 3. 7*c**2 Collect the terms in 5*n**2 - 4 + 7 - 3. 5*n**2 Collect the terms in 26*q + 15*q - 7*q + 11*q. 45*q Collect the terms in -460*q**2 + 0*q**3 + 460*q**2 + 2*q**3. 2*q**3 Collect the terms in -42*c**2 - 963*c + 963*c. -42*c**2 Collect the terms in -2554 + j**2 + 2554. j**2 Collect the terms in -k**2 + 7*k**2 + 7*k**2 - k - k**2. 12*k**2 - k Collect the terms in -80*s**2 + 28*s**2 + 28*s**2 + 26*s**2. 2*s**2 Collect the terms in -71*x + 27*x + 17*x + 12*x + 17*x. 2*x Collect the terms in -5*x**2 - x**2 + 0*x**2 + 2*x**2. -4*x**2 Collect the terms in -q - 7 + 3*q + 2*q. 4*q - 7 Collect the terms in 0 + 78*f - 84*f + 0. -6*f Collect the terms in 167*k - 167*k - 10*k**2. -10*k**2 Collect the
{ "pile_set_name": "DM Mathematics" }
. Is 20 a factor of a? True Suppose 0 = -52*r + 58*r - 12. Suppose 5*l + r*o - 212 = -7, -4*l = 5*o - 164. Is l a multiple of 6? False Let s be (-277)/7 - 9/21. Is 16 a factor of 10/(s/3) - (-1398)/8? False Suppose -h - 1016 = -3*q, q - 328 = 3*h - 0*h. Does 34 divide q? True Suppose 10 = -18*z + 13*z. Is 8 a factor of (-12)/((-13)/10 - (z + 1))? True Let y = 1639 + -792. Does 4 divide y? False Suppose 778 = 3*z + 5*w, -521 = -2*z + 3*w - 4*w. Suppose -13*f + z = -10*f. Is 29 a factor of f? True Let d = 36 + -34. Suppose -2*h - d*h + 436 = 0. Is 18 a factor of h? False Suppose 0 = -4*g - 3*m - 81, 5*m - 38 = 3*g + 1. Suppose 5*p = -5*a + 3*a - 23, 4*p + 40 = -4*a. Does 3 divide 2*3 - g/a? False Suppose -5*l + 4*p = 21, 0 = 2*l - 3*l - 3*p + 11. Let z be -3 + (4 - 2) - l. Is 25 + -3 + 2 + z a multiple of 8? True Suppose -2167 - 6214 = -29*z. Does 38 divide z? False Let s(y) = y**2 + 18*y - 11. Let g be s(-19). Suppose -g*l = -12*l + 204. Is 7 a factor of l? False Let v = -3114 + 5051. Is v a multiple of 14? False Suppose 2*z - 120 = 5*x, 2*z - 120 = -0*x - 5*x. Suppose -84 = -4*f + z. Is f a multiple of 12? True Suppose l = 4*g - 13, 3 = -l - 2. Let h = g - 0. Suppose 3*u - 5*u = -5*k + 137, -3*k + h*u = -83. Is k a multiple of 9? True Let c be 9/(-15) + (-561)/15. Let u = 129 + c. Is u a multiple of 36? False Suppose -i + 349 = 3*b - 5*b, -2*b - 353 = -5*i. Let x = b - -283. Suppose -p = 45 - x. Does 13 divide p? False Suppose -5*p = 3*x - 36, -4*x + 2*p + 1 = -3*x. Let y = x + -13. Let z = -4 - y. Does 2 divide z? True Let u = -2919 - -4819. Does 25 divide u? True Let o = -793 + 977. Does 8 divide o? True Let l(m) = -m**2 - 2*m + 5. Let r be l(-3). Suppose 0 = r*t + n - 163, t + 3*n = 4*t - 231. Is 16 a factor of t? True Let c = -10 - 7. Suppose 213 = -5*i + 2*i. Let l = c - i. Is l a multiple of 18? True Let x(u) be the first derivative of -u**3/3 - 2*u**2 + 6*u + 5. Let r be x(-4). Suppose z - 5*y = 0, 2*z + 2*y - 54 = -r. Does 10 divide z? True Let a = 2967 - 1304. Does 46 divide a? False Suppose -5*i + 8*i - 9 = 0. Suppose -4*w = i*h - h - 42, -2*h - 5*w + 47 = 0. Does 9 divide h? False Suppose 0 = 10*b - 1715 - 55. Is 13 a factor of b? False Let h(j) = -j**2 - 91*j - 302. Does 34 divide h(-46)? True Is 15*1745/15 + -2 a multiple of 53? False Let j be (-7)/(-14) + 182/(-4). Let i = -3 - j. Is 7/i - 227/(-6) a multiple of 23? False Let q be 1/((-9)/(-24))*(-4 + 1). Is 34 a factor of (-3280)/(-64) - 6/q? False Suppose 5*h = -4*f - 155, 0 = -3*f + h - 3*h - 125. Let v be 3/((-27)/(-12))*-3. Is 12 a factor of (f/(-12))/((-1)/v)? False Let f(p) = p**3 + 23*p**2 - 33*p + 64. Is 4 a factor of f(-24)? True Suppose n - 87 = -o, -3*o + 92 = n - 5. Suppose 3*x - n = 134. Is x a multiple of 6? True Let q be 60/(-9)*(-846)/(-12). Let n = -330 - q. Does 20 divide n? True Suppose 2*w = -4*m + 1008, 5*m - 1197 = -5*w + 1338. Is 46 a factor of w? False Let r(i) = -6*i**3 + i**2 + 6*i - 6. Does 13 divide r(-4)? False Let w = 268 + 44. Is 24 a factor of w? True Let p = 2220 + -1688. Does 7 divide p? True Is 1580 - 2*((-420)/(-8))/15 a multiple of 11? True Let b(p) = 4*p + 124. Does 4 divide b(-8)? True Let x(u) = -4*u**3 + 2*u - 10. Does 12 divide x(-3)? False Suppose 0*w + 4*s - 514 = 3*w, -w - 3*s = 167. Let d = -73 - w. Is 42 a factor of d? False Is ((-213522)/24)/(-19) - 2/8 a multiple of 12? True Suppose 131 = 116*m - 115*m. Is m a multiple of 28? False Suppose p + 1642 = 3*s, -3*s + 3*p = -7*s + 2172. Is 21 a factor of s? True Suppose 3*b + 52 = -b. Let s = 18 + b. Let x = s + 0. Does 4 divide x? False Let w = -61 + 145. Let r = w - 43. Let l = r - 11. Is l a multiple of 6? True Let f(j) = 0*j - 1 - j - 13. Let s be f(-8). Is 11 a factor of (33/s)/(1/(-4))? True Let z(o) = -18*o**3 + 8*o**2 + 10*o + 12. Is z(-5) a multiple of 18? True Let j = -21 - -41. Let v = j - 16. Suppose -276 = -v*q - 36. Does 15 divide q? True Suppose 7 = o - 3*b - 100, 373 = 4*o - b. Let z = o - 83. Is z a multiple of 9? True Is 81 a factor of (-40)/(-60) + (-1942)/(-3)? True Is 54 a factor of 4/(-14) - ((-45750)/42 - -12)? False Suppose 0 = -3*r + 10 + 35. Let l be 214/2 - (r - 16). Suppose 2*i - l = -0*i. Is i a multiple of 27? True Suppose -19*d + 23*d = 12. Is 5 - (-3 + d/1) a multiple of 3? False Suppose 4045 = 8*o - 3507. Is o a multiple of 16? True Let w = -94 + 67. Let v = -40 + 103. Let m = w + v. Does 36 divide m? True Let i = 411 - 15. Is i a multiple of 20? False Let c = 554 - 480. Does 2 divide c? True Let k = 15 + -12. Suppose -5*n - 282 = -k*j, -j + 0*n + 83 = 2*n. Is j a multiple of 30? False Suppose 0 = 4*p + 8 - 32. Is 3 a factor of (p/8)/(1/24)? True Let g(m) = m**3 - m**2 + m + 6. Let z(y) = y**3 - y. Let l be z(2). Suppose 0 = 9*u - l*u. Is g(u) a multiple of 3? True Let m(s) = 123*s**3 + 2*s**2 - 4*s + 4. Does 15 divide m(2)? False Let x = 422 + 103. Is x a multiple of 21? True Let d = 146 + 306. Is 76 a factor of d? False Suppose -h = -4*n + 96, -3*h + 0*h - 5*n - 237 = 0. Let w be (-3)/(3*(-2)/h). Is 11 a factor of (-2 - -4)/(-4)*w? False Let c = -143 + 145. Suppose 5*n + 4*f = 1050, c*f = -n - 28 + 238. Is 30 a factor of n? True Suppose 8 = a - 0*a. Suppose 0 = a*d - 4*d - 76. Does 5 divide d? False Let y(d) = -d**3 - 3*d**2 + 11*d - 12. Is y(-6) a multiple of 19? False Let l be -17 + 55 - 4*(-2)/(-4). Is 20 a factor of (150/4)/(l/96)? True Let g = -38 - -93. Does 11 divide g? True Does 28 divide 177/48*12 + 5/(-4)? False Let o(d) = -d**3 - d**2 + 2*d - 6. Let q be o(0). Let u(p) = -6*p - 8*p + 4 - 2*p + 0. Is 25 a factor of u(q)? True Let f = -3247 - -4716. Does 22 divide f? False Suppose 0 = -5*t - 87 - 268. Suppose 135 = -8*p - 65. Let i = p - t. Is i a multiple of 22? False Suppose -4*v = -26 + 6, 5*y = 3*v - 10. Let s(o) = 11*o**2 - 2*o + 8*o**2 - 3*o**2 + 1. Does 8 divide s(y)? False Is (-459)/(-5) - 34/(-170) a multiple of 4? True Suppose 2*f = 0, -3*s - 2*s = 3*f - 1465. Is s a multiple of 29? False Suppose -71 = -5*o - 3*v, 0 = 4*o + v - 0*v - 54. Suppose -2*c - o = 2*a - 3*a, 2*a - c = 26. Is 5 a factor of a? False Let t = 54 + -48. Suppose 107 + 145 = t*h. Does 14 divide h? True Let r(a) be the first derivative of -3 - 4*a - 3/2*a**2 + 1/3*a**3. Is r(6) a multiple of 14? True Suppose 2*n + 3*i = -2 + 12, 2*i - 10 = -2*n. Let d = n + 12. Is d a multiple of 10? False Let v = 387 - -21. Does 8 divide v? True Let h = 58 + -2. Suppose 5*n - 68 = -2*j, -6*n + n + j = -h. Is n a multiple of 8? False Suppose -4*i - 10 = -4*k + 6, -4 = 5*i - k. Suppose -3*j + 6*j - 351 = i. Is 26 a factor of j? False Let b = -29 - 42. Let a = 138 + b. Suppose 2*f - a = 1. Is f a multiple of 12? False Let q(y) be the second derivative of 0 - 5/3*y**3 - 7/2*y**2 - y. Is 23 a factor of q(-4)? False Does 13 divide -30*-1*((-3735)/(-6))/15? False Is 26 a factor of 34452/270 - (-6)/(-10)? False Let f = 5 - 25. Let c = 52 + f. Does 5 divide c? False Let w = 1638 + -1260. Is w a multiple of 9? True Let p be (-3)/(-6) - 7/(-2). Let z be (-168)/(-32)*1*p. Let w = 56 - z. Is w a multiple of 17? False Let c = -35 + 35. Suppose c = -7*r + r + 2430. Suppose 8*v - r = 3*v. Is 27 a factor of v? True Let z(r) = 15*r - 37. Is 6 a factor of z(5)? False Let w = -100 - -102. Suppose -3*f + 97 = 2*r, 184 = 5*f + w*r + 17. Does 7 divide f? True Let a(m) = 32*m + 464. Is a(20) a multiple of 69? True Suppose 5*l = 17*l - 6084. Is l a multiple of 28? False Let q = 1321 - 826. Is q a multiple of 11? True Suppose -w + 24 = 4*w - 4*d, -2*w + 5*d + 13 = 0. Suppose y - 21 = -5*p + 480, w*p + 5*y - 384 = 0. Does 18 divide p? False Let q be (10/15)/((-1)/((-927)/2)). Suppose q = 2*k + 57. Is k a multiple of 15? False Let t be ((-1)/(-2))/(19/152). Suppose -145 = -t*j + 3*j. Is 30 a factor of j? False Let y be ((-36)/(-10))/((-5)/(-225)). Suppose -4*z = -z - y. Is 11 a factor of z? False Let u = -529 - -1202. Does 9 divide u? False Let z(x) = 13*x**2 + 3*x - 3. Suppose -5*f = -2 - 3. Does 13 divide z(f)? True Suppose 6*b - 575 - 1 = 0. Is b - 0/(0 + 4) a multiple of 10? False Suppose 10*a - 807 - 713 = 0. Does 38 divide a? True Suppose 29*j - 24*j = -5, j = l - 193. Does 16 divide l? True Let v = -70 + 97. Let g = 6 - -16. Let i = v + g. Does 31 divide i? False Suppose 3*o - 106 - 14 = 0. Suppos
{ "pile_set_name": "DM Mathematics" }
What is q rounded to 2 decimal places? 1.12 Let i(q) = 38652*q**2 + 28*q + 15. Let x(t) = -19326*t**2 - 15*t - 8. Let f(a) = 6*i(a) + 11*x(a). Let b be f(-2). Round b to the nearest 10000. 80000 Let f = -18.732 + 21.5337. What is f rounded to 2 dps? 2.8 Let p = 27.044 - 0.044. Let i = p - 26.94. Let c = i - 0.25. What is c rounded to one dp? -0.2 Let w = 7822049.2 - 1402829.2. Let q = w + -6419166.00042. Let k = q - 54. Round k to 4 dps. -0.0004 Suppose -2*p = -0*p. Suppose p = -8*m + 4*m - 8. Let d be m/4*-4 - 6000002. What is d rounded to the nearest one million? -6000000 Let x = 273 - 462. Let g = x - -98. Let f = -252 - g. What is f rounded to the nearest ten? -160 Suppose 5*x = 6*x + 861. Let p be (-4)/(12/x) + 4. Let n = -909 - p. What is n rounded to the nearest one thousand? -1000 Let y = 3544.000001973 - 3544. Round y to six decimal places. 0.000002 Let b = 2.232 - 1.78. What is b rounded to 2 decimal places? 0.45 Let g = -1796.004344 - -1796. What is g rounded to 4 dps? -0.0043 Let k(t) = -3*t - 6. Let q(n) = -7*n - 12. Let z(j) = 5*k(j) - 2*q(j). Let m be z(0). Let u be ((-40)/12)/((-4)/m). Round u to the nearest integer. -5 Let w = -3002.7 + 1575.5. What is w rounded to the nearest 100? -1400 Let y = 3.03 + 201.97. Let a = y - 204.99999841. Round a to 7 decimal places. 0.0000016 Let i(b) = 25892*b + 6. Let n be i(3). Let f = n + -47686. Suppose -75004 = -5*o + 2*t, -2*o - t + f = t. What is o rounded to the nearest one thousand? 15000 Let h = -4 + 5. Let w be (6 + 4)/(h/3800). What is w rounded to the nearest ten thousand? 40000 Let z = -8762 + 8762.0011227. What is z rounded to 5 dps? 0.00112 Let n = 48 - 48.00277. What is n rounded to 4 decimal places? -0.0028 Let s = -45.517 + 45.4. Round s to two decimal places. -0.12 Let y(d) = -7316*d + 56. Let a be y(16). Round a to the nearest 10000. -120000 Let l = 25333.011 + -114.991. Let w = l + -24996. Let x = w + -220. What is x rounded to one decimal place? 2 Let u = -52.8 + 52.79998663. Round u to six dps. -0.000013 Let s = 1598 + -1597.7052. Round s to two dps. 0.29 Let c = -53 - -52.999998226. Round c to 7 decimal places. -0.0000018 Let i = 102.283 - 102.2580132. Let k = i + -0.025. Round k to 6 decimal places. -0.000013 Suppose 0 = 266*j - 268*j - 2*n - 29844, 4*j + 5*n = -59693. What is j rounded to the nearest 1000? -15000 Let m = -190.23 - -191.08045. Let z = -0.85 + m. What is z rounded to five dps? 0.00045 Let n = 573.00693 + -573. What is n rounded to 3 dps? 0.007 Let u = 852.7 - 916. Round u to the nearest 10. -60 Let n = 10.3872 + -10.38. Round n to two dps. 0.01 Let w = 2 + -2.36. Let u = w + -0.04. Let g = u - -0.3999975. What is g rounded to 6 dps? -0.000003 Let t(c) = c**3 + 32*c**2 + 79*c - 62. Let d be t(-56). Round d to the nearest 1000. -80000 Let q = -8.32 + -593.68. Let v = q - -602.000000666. Round v to seven dps. 0.0000007 Suppose -2*w - 8 = 0, 7 = -s - 3*w - 0. Suppose 9*j + 720 = s*j. What is j rounded to the nearest 100? -200 Let a = 353643 - 353643.0299978. Let d = -0.03 - 0. Let n = a - d. What is n rounded to seven dps? 0.0000022 Let b(t) = -22*t**2 + 37*t - 6. Let j be b(-26). Round j to the nearest one hundred. -15800 Suppose -24 = -5*s + 1, 5*s + 567975 = -2*j. What is j rounded to the nearest ten thousand? -280000 Let q = 48 + -47.985. Let t = -0.319 + q. Round t to 2 decimal places. -0.3 Let d = 1242771757 - 1242771859.9999817. Let x = d + 103. What is x rounded to 6 decimal places? 0.000018 Let a(d) = 21*d**3 - 3*d**2 + 2*d + 6. Let r be a(-4). Let c be 9/2*r/(-51). Round c to the nearest ten. 120 Let w be 283996 - ((-2)/(-1) - 1) - -5. Round w to the nearest 10000. 280000 Suppose q - 15266 = -5*k + 6719, -q + 3*k = -21961. What is q rounded to the nearest one thousand? 22000 Let j = 729.992 - 727. Let i = 2.43 - j. What is i rounded to 2 decimal places? -0.56 Let a = -558 - -3. Let s = 555.0277 + a. What is s rounded to two decimal places? 0.03 Let r = 295 + -295.649. What is r rounded to one dp? -0.6 Let j = 7 - 3. Suppose -b + 3 = u, b - j*b + 9 = u. Suppose -y = -k - 1856, -3*k + 6*k = -b*y - 5592. Round k to the nearest one hundred. -1900 Suppose -5*a + 31 = -34. Let b(l) = -5*l**2 - 7*l + 6. Let j be b(a). Let s be j/((9/(-2))/(-3)). Round s to the nearest one hundred. -600 Let g be (-1)/(-1 + 2/3). Suppose d + 4 = 4*y, d + 6*y - g*y + 11 = 0. Let m(p) = -2312*p + 4. Let u be m(d). Round u to the nearest 1000. 19000 Let z = -1.64 + 20.1. Round z to the nearest ten. 20 Let n = 0 - -16. Let c = -15.999956 + n. What is c rounded to 5 dps? 0.00004 Let d = 925.7 - 925.699992346. Round d to seven decimal places. 0.0000077 Let a(j) = 19*j**2 - 8*j + 11. Let x be 2 + -4 - (-7)/1. Let h be a(x). Suppose 2*v - h = 2*i - 46, i = -3*v - 200. Round i to the nearest 100. -200 Let m = 32.542 - 0.042. Round m to the nearest integer. 33 Let z = 236.3 - 236.3000009745. What is z rounded to seven dps? -0.000001 Let p = -810.999999197 + 811. What is p rounded to seven dps? 0.0000008 Let k = -890.4 + 969. Let m = -67.57 + k. Let d = -11 + m. Round d to two dps. 0.03 Let t = -685 - -728.32. Let h = -45 - -90. Let d = h - t. Round d to one decimal place. 1.7 Let k(d) = -841*d**3 - d**2 - 4*d + 4. Let z be k(1). What is z rounded to the nearest ten? -840 Let u = 2 + -44. Let y = 3870.084 - 3828. Let d = y + u. What is d rounded to two decimal places? 0.08 Let v = 42.635981 - -261.365629. Let i = -36 + -268. Let a = i + v. What is a rounded to 4 decimal places? 0.0016 Let g be (-2 - 2/1)*-49. What is g rounded to the nearest one thousand? 0 Let a(v) = -13417*v + 280. Let j be a(40). What is j rounded to the nearest one hundred thousand? -500000 Let b = 74 - 120. Let x = b - -41.4. Let d = -5.17 - x. What is d rounded to 1 decimal place? -0.6 Let n(t) be the third derivative of -1229*t**5/15 + 7*t**4/24 - 6*t**2. Let m be n(-6). Let l = 334018 + m. Round l to the nearest ten thousand. 160000 Let t = 535.992 - 541. Let s = -4.89 + -0.11. Let o = t - s. Round o to two decimal places. -0.01 Let k = -141.562 + 141. What is k rounded to one decimal place? -0.6 Suppose -10 = -7*r + 2*r. Let m be -6*((-8)/(-6) - r). Suppose 3*j + 91588 = m*l, -5*l + j + 114492 = -j. Round l to the nearest one thousand. 23000 Let m be (8 + -3)*18/30. Let g = 7 - m. What is g rounded to the nearest ten? 0 Let g = -0.806349454 + 15.806348934. Let u = g + -15. Round u to 7 dps. -0.0000005 Let y = 6192 - 6192.2613. Let c = -0.26 - y. Round c to 3 decimal places. 0.001 Let k = 588352 + -886729. Let s = k - 1623. What is s rounded to the nearest 1000000? 0 Let x = -0.1315284 - -0.131. Round x to 5 dps. -0.00053 Let z = -1275 + 1269.57. Let y = z - -5. Round y to two decimal places. -0.43 Let b = 76208.38465 - 76327.38464826. Let k = b - -119. What is k rounded to 7 dps? 0.0000017 Let o = -4.13554 - -5.2594. Let s = 1.24385875 - o. Let g = s - 0.12. Round g to seven dps. -0.0000013 Suppose 5*s - 10 = r + 2, 5*s - 15 = 0. Suppose -o - g = -2*o + 11900003, -r = g. What is o rounded to the nearest one million? 12000000 Let t = -9.3 - -9.299999594. What is t rounded to 7 decimal places? -0.0000004 Let w = -4828.9984 + 4851. Let l = w - 22. Round l to 3 decimal places. 0.002 Let a = 10.2 + -25.2. Let t = 3459.107 + -3444.1. Let l = a + t. What is l rounded to 2 decimal places? 0.01 Suppose -4*v + 1 = -11, 0 = -3*z - 3*v - 8327748. Let g = 226581 - z. Suppose 2*o + 222500 = g. What is o rounded to the nearest 100000? 1400000 Let a = -3.56 - -0.47. What is a rounded to one decimal place? -3.1 Let f = 1.2 - -9. Let q = f + 10.4. Round q to the nearest integer. 21 Let r be 26/4 - (-3)/(-6). Let h(p) = 2*p**2 + 9*p - 3. Let q be h(-5). Suppose o = 4*o + r, 5*o - 4990 = q*j. Round j to the nearest one thousand. -3000 Let f = -18 - 6.7. What is f rounded to zero decimal places? -25 Let v = -726 + 726.08734. Let f = v + 317.76966. Let w = f - 318. Round w to 2 decimal places. -0.14 Let k = -109 - -45. Let n = -971 - -1040.3. Let m = n + k. What is m rounded to the nearest integer? 5 Let c = 0.041 + 52.959. Let p = 483.98 - 432.4. Let g = p - c. Round g to one dp. -1.4 Let h = -4.74 + 4.7401805. What is h rounded to 5 decimal places? 0.00018 Suppose -108866044 + 423466044 = -13*j. What is j rounded to the n
{ "pile_set_name": "DM Mathematics" }
+ 2*h for p. 1 Solve -3*x - n + 167 = 182, -2*x = -3*n - 12 for x. -3 Solve 0 = -3*v + 3*y - 1668 + 1647, 4*y - 24 = 2*v for v. -2 Solve 2*j - 10 = 0, 5*j - 6*j - 31 = -l - 6*j for l. 6 Solve -1242 = -h - 3*r - 1249, 0 = 14*h + 5*r + 98 for h. -7 Solve -6*j = -j + 13*f - 51, 2*f = -153 + 157 for j. 5 Solve -74702*a + 74684*a + 2*z = -88, 5*z = -4*a + 25 for a. 5 Solve -2*k - 7 = 19*o - 20*o, -5*o - 40 = 5*k for k. -5 Solve 5*h + 3*m - 32 = 0, 10 = 2*h - 3046*m + 3047*m for h. -2 Solve 0 = 4*c - x - 5, -27*x = 3*c - 33*x - 30 for c. 0 Solve 147*k - c = 146*k - 9, 33 = -2*k + 5*c for k. -4 Solve 15 = 2*a - f, 2*a - 10*f + 8*f = 20 for a. 5 Solve -62*f + 67*f = -3*b + 15, f - 11 = b for f. 6 Solve -x - 1654*t = -1659*t + 18, 4*t = 3*x + 21 for x. -3 Solve 2*l + 8 = 4*n + 3*l, 0 = 4*n + 5*l - 24 for n. 1 Solve 4*t = -3*s - 17, 4*s - 8*s + 28 = -t for s. 5 Solve -w + 5 = -5*x, 2*w = 3*x + 1250 - 1254 for x. -2 Solve 1217*z - 1231*z + 50 = 4*j, -z = -3*j - 20 for z. 5 Solve 5*k + 5*r - 10 = 0, -905*k - 5 = -903*k + 5*r for k. 5 Solve -5*v + 10 = -3*p, -3*p - 384 = -4*v - 373 for v. -1 Solve -2*c - 4 = 2*j, -541*c - 3*j = -539*c + 6 for c. 0 Solve l + 9*c = 13, 829*c + 54 = -3*l + 833*c for l. -14 Solve -505*p + 506*p + 15 = 3*o, -4*p = 5*o - 42 for p. 3 Solve 11 = 3*c + p - 32, 5*p = 61 - 56 for c. 14 Solve -4*b = 3*g + 7, 3691*g - 3*b = 3689*g - 16 for g. -5 Solve p - 3*r = 8, -3*p + 20 - 18 = 2*r for p. 2 Solve -r = 2*z - 9, -r + 6*z + 13 = 9*z for r. 1 Solve 2*d = 3*g + 6, 2*d + 3*g = -d + 9 for d. 3 Solve -5*h - 5*i = 15, -20*h - i - 18 = -24*h for h. 3 Solve -856*m = -853*m + 30, -2*m = 5*p - m - 3*m for p. -4 Solve -3*g + 710 - 725 = -3*a, 0 = -g + 2*a - 15 for g. 5 Solve -s - 12*k = 69, 28*s = 27*s + 2*k + 15 for s. 3 Solve -2*x - 18*u = -17*u - 13, 3*x - 7*u = -23 for x. 4 Solve 72 = 28*z - 23*z + 3*i, 0 = 5*z + i - 64 for z. 12 Solve 3*q + 3*h = 182 - 185, 37 = 3*q - 5*h for q. 4 Solve -233*n + 231*n - 4 = -4*s, -7*n = -s + 53 for n. -8 Solve 4*w - 70449 + 70457 = 0, 9*b = -2*w + 41 for b. 5 Solve -42*l + 40*l = 3*i + 53, -5*i = 2*l + 83 for i. -15 Solve -18*n - 32 = -c, -41*c + 45*c + 26 = -5*n for n. -2 Solve -36 = 4*p, -1355*p + 1352*p = 6*c + 45 for c. -3 Solve -f = -2*k - 20, 8*f = 6*k + 13*f + 76 for k. -11 Solve 1996*w = 1992*w - 2*u - 10, 3*w + 3*u + 12 = 0 for w. -1 Solve -r + 1 = 5*q, -r = -318*q + 321*q - 1 for q. 0 Solve -4*c - 274*s = -279*s - 15, 0 = -2*c - 4*s + 14 for c. 5 Solve 5*x + 9*y + 70 = 4*y, 17*y = -3*x - 294 for x. 4 Solve -3*j = 4*a + 1492 - 1467, 3*a = j - 9 for a. -4 Solve 5*u + 23*m - 27*m = -16, 5*u + m = -21 for u. -4 Solve 1299*c - 1302*c = -w + 27, 4*c + 6*w = -36 for c. -9 Solve -97 = 5*n + 4*w, 124*n - 51 = 127*n + 2*w for n. -5 Solve 10 = 2*b + 4*r, 0 = 11*b - 2*r + 13 - 116 for b. 9 Solve -a + 2 = -k, -5*a = 2*k + 148 - 165 for a. 3 Solve -u = 4, -61 = -3*o - 5*u - 69 for o. 4 Solve -y - 1962 + 1955 = m, 9*y + 2*m + 35 = 0 for y. -3 Solve -8*g = l - 4*g + 36, -8*l = 5*g + 72 for l. -4 Solve 2*v + 33 = -3*c, c + 73*v - 75*v = 13 for c. -5 Solve -7*h + 5*t = -3, -16*h + 20*h + 5*t + 18 = 4 for h. -1 Solve 563 = 4*j + 4*t + 559, 0 = j + 3*t - 7 for j. -2 Solve 0 = b + 6, -5*b + 14 - 44 = -4*o for o. 0 Solve 12*t - 84 = -3*j, 67*t - 48 = -3*j + 64*t for j. 12 Solve -108*k + 14 = 3*w - 110*k, 2*k = 5*w - 18 for w. 2 Solve 53 = 4*r - 5*x, -64*r + 60*r - x = 1 for r. 2 Solve -i - 18 + 27 = 0, 0 = -3*o - 3*i + 15 for o. -4 Solve -34658*a + 34657*a - 2*t = -21, 3*t = -2*a + 39 for a. 15 Solve -5*g - 5 = 3*d, 12230*d - g + 27 = 12225*d for d. -5 Solve 140*l + 74 = -5*g + 148*l, -33 + 1 = -4*l for g. -2 Solve -4*c - 24 = -4*i, 239*i - 266*i = -c - 136 for i. 5 Solve 4*l = 68*y - 66*y - 16, -3*y + 3*l + 21 = 0 for y. 6 Solve -2*i - 10*b - 125 = 29, -b = -2*i + 22 for i. 3 Solve 135*x - 136*x = -2*k + 1, -k - 2*x - 7 = 0 for k. -1 Solve 50*t - 49*t + 5 = 0, -3*h - 4*t = 14 for h. 2 Solve -105*b + 13 = 2*l - 106*b, -2*l + 2*b + 16 = 0 for l. 5 Solve 10 = 4*r + 8852*l - 8850*l, 0 = -3*r + 4*l + 24 for r. 4 Solve -2*n = -3*m + 87, -8 = -2*n - m + 21 for n. 0 Solve 14*l - 24 = 2*d, -19*d + 22 = -24*d - 3*l for d. -5 Solve 4*r = -v - 26, 268 - 288 = 2*v for r. -4 Solve 644*d = -8*q + 641*d + 47, 4*d = -2*q + 28 for q. 4 Solve -5*c = 5*z + 59 - 114, 4*z - 46 = -5*c for z. 9 Solve k - 2*w = -20, -4*w + w = -5*k - 72 for k. -12 Solve 7*b = 8*b - c - 4, c = -2*b + 2 for b. 2 Solve -1962*h + 1966*h - 7 = 3*p, h = 5*p + 6 for p. -1 Solve -3*z + 5*d - 6 = 0, 66*z = 69*z + 2*d + 6 for z. -2 Solve 0 = n - 5*x + 11, 115*n + 5*x = 113*n + 8 for n. -1 Solve 8 = 2*m + 3*i + 13, 0 = 6*i + 18 for m. 2 Solve 7343*s - 7339*s - 4*a = 0, 3*a = -s - 8 for s. -2 Solve 2*g - 32 = -i, 50 = -5*i + 2*g + 2*g for i. 2 Solve -5*k + 25 = -5*x, 0 = -2*x - 22*k + 16*k + 14 for x. -2 Solve 4*i - 24 = 8*i + 2*s, -s = 4 for i. -4 Solve -2*l = 5*y - 861 + 920, 2*y + 27 = -l for l. -17 Solve -8 = -4*s, 1288*p - 2*s = 1289*p - 8 for p. 4 Solve -4*h = -3*c - 46, 0 = 4*h - 4*c - 199 + 151 for h. 10 Solve 100 = 2*y - 14*g, 17*g + 29 = y + 13*g for y. 1 Solve 0 = 2*b + 5*m - 44, 5*m = 13013*b - 13012*b + 53 for b. -3 Solve -3*s - 5*o = 1, -4532*s - 2*o - 19 = -4537*s for s. 3 Solve 2*j + y - 9 = 0, -33*y - 20 = -37*y for j. 2 Solve -5*i + f + 26 = 0, -3*i + 522*f + 30 = 525*f for i. 6 Solve 378*z - 5*a - 35 = 373*z, 4*z = -3*a + 7 for z. 4 Solve -4*r - 1804 = -10*m - 1832, -2*r + 7 = 2*r + 19 for m. -4 Solve -d - 4 = -4*z, 10*d - 3*z = 7*d + 6 for d. 4 Solve 4*o + 7 - 6 = 3*f, 14*f - 4*o = -54 for f. -5 Solve 2*i - 1272 = 4*k - 1280, 4*k = -5*i - 20 for k. 0 Solve -2*c - 5*f + 135 = 102, -3*c + 3*f = 24 for c. -1 Solve -4*a + 2*m = a - 32, -3*a - 12 = 4*m for a. 4 Solve 41*s = k + 36*s - 35, 5*k + 2*s + 14 = 0 for k. 0 Solve -11 = 2*a + 7*j, -2*j - 20 + 29 = 3*a for a. 5 Solve -h + 2*h + 0 = -w - 2, 19*w - 14 = -33 for h. -1 Solve 2*q + 26 = 3*w, 959*q - 24 = 962*q - 2*w for q. -4 Solve -36 = 3*p + 2*o, 5*p + 409*o - 410*o = -8 for p. -4 Solve k = 4*d + 46, 41 = 4*k - 590*d + 587*d for k. 2 Solve -2*i + 351 = 383, 0 = 3*y + 2*i + 41 for y. -3 Solve -19 = -5*p - c, c = 224*p - 226*p + 7 for p. 4 Solve -29*m - 8 = -28*m + 3*n, n = 5*m - 24 for m. 4 Solve -x + 162*k - 160*k - 10 = 0, -4*x - 33 = -k for x. -8 Solve 9*v - 3*v - 18 = 0, -28 = 4*h + 9*v - 12*v + 5 for h. -6 Solve 2*x = -5*a + 42, 4*x + 279 - 233 = 3*a for a. 10 Solve 1602*x - 5*v + 10 = 1607*x, -2*v - 2 = x for x. 6 Solve -m - 1 = o, 152*m - 153*m = 3*o - 5 for m. -4 Solve 2*o = -2*c, 111*o - 116*o - 42 = -9*c for c. 3 Solve 0 = 5*n - 5*k - 30, -80*k = n - 83*k - 12 for n. 3 Solve 13*j = 10*j - 3*o + 48, -o + 22 = -j for j. -3 Solve 5*w + s = -485 + 465, -36 = 9*w - s for w. -4 Solve c = -5*q - 18, 5*q + 14 = 852*c - 855*c for q. -4 Solve 4*g = -2*z + 28, 0 = -873*z + 878*z + 3*g - 35 for z. 4 Solve 0 = 3*a + 7*m + 20, 2*a - 958*m + 955*m = 2 for a. -2 Solve -4*s = f - 23, 13*s - 17*s - 12*f + 12 = 0 for s. 6 Solve 13*g + 324*f - 325*f = -62, 2*f = 2*g + 4 for g. -5 Solve -2*i = -5*c - 2, c + 5*i + 25 = 3*i + 27 for c. 0 Solve 0 = -2*w + x + 7, 0 = -55*w + 53*w + 3*x + 17 for w. 1 Solve 2 = -5*z + 3*h, 834*z + 6 = 835*z + h for z. 2 Solve -3*t - 1941*n - 17 = -1946*n, 5*t = 3*n - 7 for t. 1 Solve -35*i - 52 = 17*i, -2*l = 3*i - 19 + 8 for l. 7 Solve 18 = -c + 4*q, 13 = 138*c - 134*c + q for c. 2 Solve -2*a - 4 = -5*z - 5, -z + 4*a + 25 = 0 for z. -3 Solve 15*s + b = 18*s - 16, 0 = 5*s - 5*b - 30 for s. 5 Solve -3*s = 3, 4*s - 585 = -5*v - 569 for v. 4 Solve -4*p = 2*m + 24, -3*m - 97*p = -99*p - 4 for m. -2 Solve -289*q + 3*y = -292*q, 3*q = -y + 2 for q. 1 Solve 3*r - 2*j - 348 = -376, -3*j - 2 = r for r. -8 Solve -4*f - 5*o - 1 = -3*f, -f - 4*o = 0 for f. 4 Solve 3*m + 209 = -5*k + 238, -2*k = 5*m - 23 for m. 3 Solve 0 = 4*c - 3*u - 31, -23 = 16*c - 20*c - 5*u for c. 7 Solve -7*t = -c - 89, t - 2 = 286*c - 288*c for c. -5 Solve 5*w - 70 = 3*x, x = w + 1430 - 1446 for x. -5 Solve -4*q - 6*q = h + 56, -2*q = 4*h + 34 for q. -5 Solve -35*k - m = -40*k - 17, 2*k + 11 = -m for k. -4 Solve w - 2282 = -3*x - 2322, -4*x = w + 52 for w. -4 Solve -67*n + 58*n - 5*q = -21, 0 = -3*n + 3*q + 21 for n. 4 Solve -c - 23 = -133*m + 128*m, -5*m + 4*c + 17 = 0 for m. 5 Solve -25*f + 21*f = -2*m - 12, -2*m = -5*
{ "pile_set_name": "DM Mathematics" }
, -155004? -31004*f + 16 What is the q'th term of -182572, -182555, -182538, -182521, -182504, -182487? 17*q - 182589 What is the g'th term of 1382, 2730, 4976, 8120, 12162, 17102? 449*g**2 + g + 932 What is the s'th term of -1526, -2213, -3366, -4991, -7094? -s**3 - 227*s**2 + s - 1299 What is the i'th term of -4641, -4978, -5315, -5652, -5989? -337*i - 4304 What is the v'th term of -9465, -37898, -85301, -151674? -9485*v**2 + 22*v - 2 What is the o'th term of -587, -738, -889? -151*o - 436 What is the c'th term of -29310, -117229, -263762, -468909, -732670, -1055045, -1436034? -29307*c**2 + 2*c - 5 What is the a'th term of -12908, -51643, -116202, -206585? -12912*a**2 + a + 3 What is the g'th term of 3622, 7248, 10864, 14464, 18042, 21592, 25108? -g**3 + g**2 + 3630*g - 8 What is the o'th term of -34194, -34196, -34200, -34206, -34214, -34224, -34236? -o**2 + o - 34194 What is the m'th term of -464, -881, -1294, -1703? 2*m**2 - 423*m - 43 What is the o'th term of -1858, -3946, -6034, -8122, -10210, -12298? -2088*o + 230 What is the a'th term of -28628, -57232, -85836, -114440, -143044? -28604*a - 24 What is the k'th term of 233, 371, 607, 947, 1397, 1963? k**3 + 43*k**2 + 2*k + 187 What is the b'th term of 64463, 64492, 64521? 29*b + 64434 What is the g'th term of 16031, 32060, 48089, 64118? 16029*g + 2 What is the m'th term of -436754, -436753, -436752, -436751, -436750, -436749? m - 436755 What is the z'th term of -6581, -6564, -6547, -6530? 17*z - 6598 What is the k'th term of 17819, 71240, 160253, 284852, 445031? -k**3 + 17802*k**2 + 22*k - 4 What is the w'th term of -470003, -470005, -470007, -470009, -470011? -2*w - 470001 What is the m'th term of 23661, 23660, 23649, 23622, 23573, 23496, 23385? -m**3 + m**2 + 3*m + 23658 What is the o'th term of -1413, -11003, -37025, -87693, -171221, -295823, -469713, -701105? -1369*o**3 - 2*o**2 - o - 41 What is the y'th term of -366976, -366967, -366952, -366931, -366904, -366871, -366832? 3*y**2 - 366979 What is the x'th term of 7409, 7421, 7445, 7487, 7553, 7649, 7781? x**3 + 5*x + 7403 What is the i'th term of -5393, -10814, -16261, -21734, -27233, -32758? -13*i**2 - 5382*i + 2 What is the j'th term of -2097, -2065, -2011, -1923, -1789, -1597? 2*j**3 - j**2 + 21*j - 2119 What is the v'th term of 356, -376, -1596, -3304, -5500? -244*v**2 + 600 What is the h'th term of 1549, 3119, 4703, 6301, 7913? 7*h**2 + 1549*h - 7 What is the r'th term of -31767, -31772, -31777, -31782, -31787? -5*r - 31762 What is the x'th term of 4369, 8723, 13077? 4354*x + 15 What is the o'th term of 43129, 43128, 43129, 43132? o**2 - 4*o + 43132 What is the v'th term of -67, -202, -407, -682, -1027, -1442? -35*v**2 - 30*v - 2 What is the l'th term of -436847, -873694, -1310541, -1747388, -2184235? -436847*l What is the p'th term of -643, -738, -885, -1084, -1335? -26*p**2 - 17*p - 600 What is the k'th term of 89, 448, 1343, 3044, 5821, 9944, 15683, 23308? 45*k**3 - 2*k**2 + 50*k - 4 What is the x'th term of -51, -14, 129, 438, 973? 10*x**3 - 7*x**2 - 12*x - 42 What is the x'th term of -641, -2135, -4615, -8075, -12509, -17911, -24275? x**3 - 499*x**2 - 4*x - 139 What is the y'th term of 578, 566, 568, 602, 686? 3*y**3 - 11*y**2 + 586 What is the k'th term of -7, 1099, 2937, 5507, 8809? 366*k**2 + 8*k - 381 What is the f'th term of -112, -112, -110, -106, -100, -92, -82? f**2 - 3*f - 110 What is the v'th term of -601, -1578, -2557, -3538? -v**2 - 974*v + 374 What is the v'th term of 76889, 153779, 230669, 307559, 384449? 76890*v - 1 What is the s'th term of -6344, -6335, -6326, -6317? 9*s - 6353 What is the f'th term of -31388, -62777, -94166? -31389*f + 1 What is the j'th term of 99, 204, 283, 324, 315, 244? -2*j**3 - j**2 + 122*j - 20 What is the r'th term of 255959, 511917, 767873, 1023827, 1279779, 1535729? -r**2 + 255961*r - 1 What is the p'th term of -2352, -2114, -1876, -1638, -1400? 238*p - 2590 What is the r'th term of -244, -284, -362, -484, -656, -884, -1174? -r**3 - 13*r**2 + 6*r - 236 What is the h'th term of -170, -155, -128, -89, -38? 6*h**2 - 3*h - 173 What is the n'th term of -1115731, -1115732, -1115733, -1115734, -1115735, -1115736? -n - 1115730 What is the y'th term of -7064, -7038, -7012, -6986, -6960, -6934? 26*y - 7090 What is the t'th term of 458, 1770, 3940, 6956, 10806, 15478, 20960? -2*t**3 + 441*t**2 + 3*t + 16 What is the j'th term of -205637, -205633, -205631, -205631, -205633, -205637? -j**2 + 7*j - 205643 What is the f'th term of 452, 448, 434, 410, 376, 332, 278? -5*f**2 + 11*f + 446 What is the n'th term of -35, -218, -531, -974, -1547, -2250? -65*n**2 + 12*n + 18 What is the z'th term of -77873, -155749, -233625, -311501, -389377? -77876*z + 3 What is the t'th term of -9, -262, -943, -2262, -4429, -7654, -12147? -35*t**3 - 4*t**2 + 4*t + 26 What is the w'th term of -83231, -83219, -83207, -83195? 12*w - 83243 What is the f'th term of -1193, -4761, -10701, -19007, -29673, -42693, -58061, -75771? f**3 - 1192*f**2 + f - 3 What is the p'th term of 729909, 729906, 729901, 729894, 729885, 729874? -p**2 + 729910 What is the m'th term of -90032, -180062, -270092, -360122, -450152, -540182? -90030*m - 2 What is the r'th term of 204, 1188, 3806, 8874, 17208, 29624? 136*r**3 + r**2 + 29*r + 38 What is the f'th term of 126, 185, 238, 285? -3*f**2 + 68*f + 61 What is the h'th term of -1826, -1833, -1840, -1847, -1854, -1861? -7*h - 1819 What is the n'th term of 2132, 2183, 2234, 2285, 2336? 51*n + 2081 What is the c'th term of -24967, -24945, -24901, -24829, -24723, -24577, -24385? c**3 + 5*c**2 - 24973 What is the w'th term of 79770, 79781, 79806, 79851, 79922, 80025, 80166, 80351? w**3 + w**2 + w + 79767 What is the i'th term of -94, -334, -998, -2302, -4462, -7694? -36*i**3 + 4*i**2 - 62 What is the j'th term of 5815, 10517, 15219, 19921? 4702*j + 1113 What is the l'th term of -1589, -3163, -4737, -6311? -1574*l - 15 What is the c'th term of -2889, -2862, -2837, -2814, -2793? -c**2 + 30*c - 2918 What is the x'th term of -24, 70, 240, 486, 808, 1206, 1680? 38*x**2 - 20*x - 42 What is the p'th term of 82, 105, 166, 259, 378, 517, 670? -p**3 + 25*p**2 - 45*p + 103 What is the a'th term of 466, 3657, 12252, 28933, 56382, 97281, 154312? 447*a**3 + 20*a**2 + 2*a - 3 What is the t'th term of -130, -91, -4, 149, 386, 725? 3*t**3 + 6*t**2 - 139 What is the n'th term of 19, -70, -159, -248? -89*n + 108 What is the d'th term of -1237, -2603, -3985, -5389, -6821, -8287, -9793? -d**3 - 2*d**2 - 1353*d + 119 What is the b'th term of -187527, -375059, -562591? -187532*b + 5 What is the j'th term of -3635, -14442, -32461, -57698, -90159, -129850, -176777, -230946? -j**3 - 3600*j**2 - 34 What is the y'th term of 542, 509, 436, 323, 170, -23, -256? -20*y**2 + 27*y + 535 What is the p'th term of -87, -180, -313, -492, -723, -1012, -1365? -p**3 - 14*p**2 - 44*p - 28 What is the g'th term of -14, 139, 466, 967, 1642, 2491, 3514? 87*g**2 - 108*g + 7 What is the o'th term of -2744, -5475, -8206, -10937, -13668, -16399? -2731*o - 13 What is the v'th term of -2664, -2690, -2738, -2814, -2924, -3074, -3270? -v**3 - 5*v**2 - 4*v - 2654 What is the y'th term of 5702, 22813, 51332, 91259, 142594, 205337? 5704*y**2 - y - 1 What is the m'th term of 92, 131, 270, 509, 848? 50*m**2 - 111*m + 153 What is the x'th term of -1147, -2260, -3373, -4486? -1113*x - 34 What is the v'th term of -28253, -28235, -28211, -28181, -28145, -28103, -28055? 3*v**2 + 9*v - 28265 What is the r'th term of 12, 76, 172, 300? 16*r**2 + 16*r - 20 What is the w'th term of -336, -665, -998, -1341, -1700, -2081, -2490? -w**3 + 4*w**2 - 334*w - 5 What is the p'th term of 6823, 6778, 6705, 6604, 6475, 6318, 6133? -14*p**2 - 3*p + 6840 What is the a'th term of -212441, -212438, -212435, -212432, -212429, -212426? 3*a - 212444 What is the b'th term of -62560, -250259, -563092, -1001059? -62567*b**2 + 2*b + 5 What is the i'th term of -867, -7425, -25333, -60267, -117903, -203917? -946*i**3 + i**2 + 61*i + 17 What is the n'th term of 11643, 23257, 34857, 46437, 57991? -n**3 - n**2 + 11624*n + 21 What is the t'th term of -2042, -8188, -18432, -32774? -2049*t**2 + t + 6 What is the l'th term of -181, -621, -1575, -3223, -5745, -9321, -14131, -20355? -30*l**3 - 7
{ "pile_set_name": "DM Mathematics" }
0 = 2*o + 2*o - s. Solve 0 = -2*l - 3*l + o for l. 2 Let y be (-12)/(-9) - 22/3. Let h be (3 - -3)*y/(-9). Let j = -4 + h. Solve 5*n - 2 - 18 = j for n. 4 Suppose b + 7*b + 3*b = 0. Solve b*i - 5*i = -25 for i. 5 Let w = -114 + 116. Solve k + w = -2 for k. -4 Let h(m) = 5*m**2 - 39 + 47 + 11*m - 4*m**2 + 4*m**2. Let c be h(-2). Solve 0 = -3*a - c for a. -2 Let r(p) = 19*p - 71. Let m be r(4). Solve 4*a - 1 + m = 0 for a. -1 Let h(p) = 2*p**2 - 73*p + 111. Let g be h(35). Solve 0 = g*c + 24 for c. -4 Let v(j) = -19*j - 71. Let y be v(-4). Solve -y*l - 5 = -15 for l. 2 Let v(z) = -z**3 - 8*z**2 - 9*z - 10. Suppose 2*x = -19 + 5. Let y be v(x). Let k be (-6307)/(-530) + 2/20. Solve -y*d - k = -d for d. -4 Let u(i) = 3*i**2 - i - 2. Let n = 14 + -11. Let z be u(n). Let h = z - 17. Solve -h*y = -0 - 5 for y. 1 Suppose 0 = -16*k + 29 + 35. Suppose 12 = -6*z + 8*z. Solve k*c - 6 = z for c. 3 Let m = 18 - 16. Suppose -16 = -m*a - 3*h, -4*a - 2*h + 20 = h. Solve 4*s + a = -2 for s. -1 Let m be 14/4 - 9/6. Let r(q) = 2*q**3 - 2*q**2 + 2. Let k be r(m). Let o = k + -7. Solve -3*u = o - 0 for u. -1 Suppose -5*f = 0, 0 = -5*z + 25*f - 28*f + 105. Solve 0 = -24*y + z*y + 6 for y. 2 Suppose 44 = 3*d + 2*p, d - 21*p - 6 = -26*p. Solve 5*l = d - 1 for l. 3 Suppose 0 = -0*r + r - 2*d + 1, -3*r - 3*d = -24. Solve -13*k + 12*k = -r for k. 5 Suppose -17*g + 24*g = 35. Solve -g*a + 6*a - 2 = 0 for a. 2 Suppose 3*k = 5*v - 24, 4*v + 3*k - 5 = -2. Let z be 18/(-14) - 4/(-14). Let j be 2 + -1 + z - 0. Solve j = -3*m - v for m. -1 Let t(j) = j**2 - 3*j + 2. Let m be (-110)/(-44) - 1/2. Let n be t(m). Let g(s) = s**3 - 5*s**2 - s + 7. Let a be g(5). Solve n*v + v + a = 0 for v. -2 Let u(p) = p + 3. Let n be (-1*(-3 + 3))/(-1). Let t be u(n). Let q = t - 1. Solve -5*i = -q*i + 9 for i. -3 Let q be (0 - -1)/1 - -1. Let t(j) = q - 10 + 2*j + 2. Let m be t(4). Solve 5 + 1 = -m*r for r. -3 Let u = 0 + 2. Suppose -h + 2*h - 14 = 0. Suppose -5 + h = l. Solve u*y + y = l for y. 3 Let b be ((-12)/(-14))/(2/(-56)). Let y = b + 28. Suppose 0 = -3*r - 5*w + 12, 2*w - w = -r + y. Solve 0 = r*q - 7*q for q. 0 Let c = 101 - 95. Solve 3*m + 18 = c for m. -4 Suppose 22*c - 16*c = 10*c. Solve w + c*w = 0 for w. 0 Suppose 4*o - 226 = i + 2*i, -o + 65 = -5*i. Suppose -3*x = 49 - o. Solve -x*b = b for b. 0 Let k be (5 + -3)/(8/60). Solve -2*j - 3*j = -k for j. 3 Suppose 0*f + f = 0. Let b = -59 - -58. Let y(d) = -4*d + 1. Let o be y(b). Solve o*g + 15 = -f for g. -3 Suppose 2*t + 10 = 3*w - 1, 0 = 4*t - 20. Suppose -w*h = -8*h + 3. Solve h*a - 5 = 1 for a. 2 Let f(i) = -7*i**3 - 1. Let b be f(-1). Suppose -8*g = -b*g - 10. Suppose -4*x = -g*a + 2*a - 3, -5*x + 2*a + 9 = 0. Solve x*j - 13 = -4 for j. 3 Let v(w) = -9*w - 1. Let z be v(-1). Let j be 5/((-90)/8) + 140/315. Solve j = -4*k - z - 12 for k. -5 Let h(n) = n**3 - 14*n**2 + n - 16. Suppose -38 = -2*u - 2*z, -2*u + 24 = 3*z - 19. Let r be h(u). Let w be ((-36)/21)/(r/7). Solve -3*v - 15 = -w for v. -3 Let z be 4095/234 + (-1)/(-2)*1. Let c be 170/4 - 1/2. Let o be z/c - (-117)/21. Solve 2*y + o = -y for y. -2 Suppose -3365*j + 3359*j = -24. Solve j*k - 6*k + 4 = 0 for k. 2 Let h be (5/2)/(1/2). Suppose 0 = h*z - 9*z + 16. Solve -2*y + 3*y + z = 0 for y. -4 Let u(a) = -3*a - 9. Let l be u(-5). Suppose 5*v + l = 7*v. Suppose -5*p + 2*q = -18, 4*p - 17 = 2*q - v*q. Solve p*y = -y + 15 for y. 3 Let d(h) = h**2 + 18*h + 52. Let f be d(-15). Suppose f*c - c = -0*c. Solve c*z = -3*z for z. 0 Suppose 111 = 2*d - n + 6*n, -d - 5*n = -63. Solve -g + 13*g = d for g. 4 Let j be 8 - (-10 + 4 - -3). Suppose -j*s = -6*s. Suppose h + 2*h = 0. Solve s = -h*z + 3*z for z. 0 Suppose 5*k - 4*m - 35 - 10 = 0, -k - 5*m = -9. Suppose -54 = -0*y - k*y. Solve -y*t + 8*t = -8 for t. -4 Let b = 354 - 352. Solve 0 = 3*v + b + 7 for v. -3 Let h = 338 - 338. Solve -44*r + 49*r + 5 = h for r. -1 Let z(t) = 8*t**2 + 1. Let f be z(-1). Let o be (-3)/f - (-250)/30. Solve -n + o = 3*n for n. 2 Suppose 35*t = 30*t + 10. Let m be (1 - t - -2)/(3/6). Solve -20 = m*j + 2*j for j. -5 Let n be 24 - (9 + -4) - 9. Solve -5*a - 25 = -n*a for a. 5 Suppose 45 = 2*r + 3*r. Suppose -11*c = -28 - 24 + 19. Solve 0*j = c*j - r for j. 3 Suppose -2 = -2*t - 14. Let g be 28/21 - 4/t. Solve 3 + 1 = -g*v for v. -2 Suppose 0 = 7*d + 5*d - 24. Suppose d*c + 0 = 8. Solve 0 = c*l - 5 - 3 for l. 2 Suppose j + 0*j - 3*j + 24 = 0. Suppose -2*y - y + 9 = 3*t, 2*t - 2*y = 2. Solve t*d + 2 = j for d. 5 Let p(l) = 5*l - 7. Let i be p(11). Let r = i - 33. Let k = 213 + -207. Solve 0 = -w + k*w - r for w. 3 Let z(s) = s**3 + 6*s**2 + 6*s + 10. Let y be z(-5). Let m(f) = f**2 - 6*f + 4. Let o be m(6). Solve o*h + y = -3 for h. -2 Let c be (-2)/(-16) - (-155)/40. Let k(r) = -r**3 + 3*r**2 + 7*r - 6. Let n be k(c). Let f be (-1 - 1*-1)*-1. Solve n = 2*i - f for i. 3 Let y = 190 + -273. Let b = y - -83. Solve b = -4*g + 5*g - 5 for g. 5 Suppose -4*g = -3*o - 8, -2*o + 3*g - 7 = -0*g. Let a = 10 - o. Solve 3*k = a*k - 12 for k. 4 Suppose s - 4*q - 29 = 0, 0*s - 3*s = -5*q - 59. Suppose 4*k = s*k - 45. Solve p - k*p = 20 for p. -5 Let u(o) = 5*o**3 - o**2 + o. Let y be u(1). Let x(i) = -i**2 + 18*i - 74. Let s be x(12). Let g be s/(y/50*-4). Solve 4*h + g - 1 = 0 for h. -1 Suppose 10 = -6*w + 34. Suppose w*y - 62 = 4*q + 18, -q - 3*y - 12 = 0. Let g be 34/153 - 104/q. Solve -x - g = x for x. -3 Let l(k) = k**2 + 6*k + 4. Let t be l(-6). Suppose 3*f - 33 = -2*c, -82 = -5*c + f + 9. Suppose -2*o + c - 2 = 0. Solve -o = -t*u - 0 for u. 2 Let u be -1*(-8)/(-12)*-6 + -95. Let t = u - -91. Solve t*y + 12 = 3*y for y. 4 Let z be (1 + -3)/(2/(-1 - 3)). Suppose -2*f + 2*v + 10 = 0, 0 = f - 0*v - 4*v + z. Let u = 4 + -2. Solve f = 2*l - u for l. 5 Suppose -3*f - 3*x = -4*f - 12, 4*f + 3*x = 12. Suppose f*s + 2*s = 10. Solve 0 + 15 = s*d for d. 3 Suppose 4*r - 6*r + 5*j = -20, -4*r + j = -4. Suppose -8 = 4*o, 0 = 2*w - o - r*o - 4. Solve -g - 4 = w for g. -5 Suppose -6*l - 5*d + 50 = -l, -86 = -5*l + 4*d. Suppose -2*p - 8 = -4*c, 3*p + p = -2*c + l. Solve -1 = -c*q - 16 for q. -5 Suppose -3*s - 11 + 92 = 0. Let m = s - 39. Let b = m + 14. Solve 2*q = -b*q + 20 for q. 5 Suppose -11 + 131 = 40*o. Solve -o*r + 5 + 4 = 0 for r. 3 Let v be 273/49 - (-4)/(-7). Let k = 7 - v. Solve k*y - 3 = y for y. 3 Suppose -x + 5*x = 40. Suppose 5*h = 4*i - x, 4*i + 2 = 3*h + 16. Solve 1 + 7 = h*c for c. 4 Let i(l) = -32*l**2 - 414*l + 26. Let f be i(-13). Let t = -4 + 9. Solve f*o + t*o = 5 for o. 1 Let a = 52 - 83. Suppose -5*s = -1 - 154. Let g = a + s. Solve b - 5 + g = 0 for b. 5 Let n = 90 + -150. Let v be (1 + 0)/(5/n). Let r = v + 15. Solve r*q - q = 0 for q. 0 Let q = 177 - 169. Suppose -5*g - 30 = 5*k, k + 3*g = 2*k - 10. Let z be k/(q/(-20)) - 2. Solve z*r + 3 = 18 for r. 5 Suppose 4*x - 2*x = -3*t - 5, 0 = 4*x - t - 11. Suppose -3*m - 7 = 4*n - 2, 0 = 3*n + 15. Solve 17 - x = -m*h for h. -3 Suppose -41*l = 4*l - 11340. Solve l*j - 258*j - 6 = 0 for j. -1 Let o(i) = i**3 + 12*i**2 + 33*i + 17. Let k be o(-8). Suppose 6*r - k = r + 3*f, -2*r = -3*f. Solve r*v + 3 + 0 = 0 for v. -1 Let i be 20*(-25)/(1625/(-26)). Solve 2*z - 10*z = i for z. -1 Let x(b) = -b. Let a(q) = 4*q + 13. Let h(w) = a(w) + 3*x(w). Let g be h(-10). Solve 9 = -g*i - 3 for i. -4 Suppose -4*m = -5*m + 21. Let b = 25 - m. Solve 4*r + b = -12 for r. -4 Suppose 3*i + 5*y = 4*i - 25, 4*y + 20 = -2*i. Solve 0 = 6*j - i*j for j. 0 Suppose 36*r = 2*r. Solve r = 3*v + 13 - 10 for v. -1 Let r be 2/2*1 - -1. Let u(q) = -25*q + 155. Let c be u(6). Suppose 0*w = -5*w, -2*w = 4*g - 28. Solve -c*d + r = g for d. -1 Suppose 5*p + 71 = -4*r, -4*p + 0*p + 20 = 0. Let l be (-212)/r - (-1)/6. Solve -5*k + 34 = l for k. 5 Let m(s) = s**2 + 3*s + 2. Let q = 65 + -69. Let i be m(q). Solve 3*j - i = -0*j for j. 2 Let q(z) = -z**3 + 12*z**2 + 14*z - 8. Let s(d) = 3*d - 14. Let c be s(9). Let y be q(c). Let v be 0/(-5*(-2)/y). Solve 0 = -2*g - 2 - v for g. -1 Suppose 119*k - 113*k = 48. Solve 13*t - k = 15*t for t. -4 Suppose 5*v - 20 = 0, 5*o - 20 = -3*v + 32. Suppose o*t - 7*t = 2. Solve 2*c + t*c = -16 for c. -4 Let i be 4 - (0 + (8 - 4)). Let x be -9 - -10 - (1 - (i - -4)). Solve x*l = -l + 5 for l. 1 Let b = -24 + 29. Solve -7*t = -b*t - 2 for t. 1 Let d be 13/(65/(-10)) + 17
{ "pile_set_name": "DM Mathematics" }
is 0 (base 7) in base 6? 0 What is 1220 (base 6) in base 12? 210 -47 (base 11) to base 9 -56 Convert -1 (base 11) to base 10. -1 112 (base 7) to base 15 3d What is -10 (base 14) in base 4? -32 What is 2 (base 10) in base 8? 2 3 (base 16) to base 14 3 -38 (base 15) to base 5 -203 7 (base 9) to base 4 13 15 (base 13) to base 2 10010 22 (base 6) to base 10 14 -1 (base 14) to base 8 -1 What is -70 (base 12) in base 5? -314 Convert 6 (base 8) to base 12. 6 Convert -1 (base 14) to base 13. -1 What is -7 (base 14) in base 2? -111 -7 (base 10) to base 16 -7 What is 10c (base 14) in base 4? 3100 4 (base 6) to base 4 10 434 (base 5) to base 14 87 What is 9 (base 12) in base 8? 11 What is 211 (base 5) in base 16? 38 -21 (base 16) to base 4 -201 What is -30 (base 8) in base 3? -220 0 (base 8) to base 2 0 Convert -19 (base 12) to base 3. -210 -3 (base 12) to base 14 -3 Convert -21 (base 5) to base 2. -1011 Convert -145 (base 6) to base 3. -2102 Convert 12 (base 4) to base 6. 10 What is 12122 (base 3) in base 10? 152 Convert 27 (base 15) to base 14. 29 What is 13 (base 8) in base 7? 14 20 (base 5) to base 3 101 -2 (base 8) to base 14 -2 4 (base 6) to base 9 4 What is -3 (base 9) in base 14? -3 -11 (base 11) to base 10 -12 What is 0 (base 7) in base 5? 0 22 (base 13) to base 8 34 Convert -6 (base 16) to base 7. -6 Convert -13 (base 4) to base 15. -7 What is 1c (base 16) in base 3? 1001 What is -5 (base 10) in base 3? -12 What is -2 (base 9) in base 10? -2 0 (base 16) to base 10 0 -12 (base 4) to base 3 -20 Convert -49 (base 15) to base 4. -1011 What is 11000 (base 2) in base 14? 1a -5 (base 14) to base 11 -5 -1101 (base 3) to base 2 -100101 Convert -41 (base 5) to base 3. -210 -25 (base 15) to base 16 -23 6 (base 12) to base 14 6 Convert -10 (base 3) to base 11. -3 110000100 (base 2) to base 8 604 0 (base 3) to base 4 0 -645 (base 7) to base 8 -507 What is b (base 14) in base 13? b Convert -20 (base 4) to base 5. -13 -12 (base 4) to base 8 -6 -1220 (base 3) to base 10 -51 What is 4 (base 10) in base 8? 4 Convert -146 (base 9) to base 10. -123 What is -33 (base 5) in base 9? -20 What is -10 (base 15) in base 7? -21 111 (base 2) to base 15 7 Convert -1 (base 12) to base 3. -1 -5 (base 6) to base 14 -5 What is -12 (base 12) in base 9? -15 16 (base 8) to base 4 32 What is -534 (base 6) in base 9? -244 What is 10 (base 4) in base 8? 4 1 (base 13) to base 4 1 -2 (base 5) to base 15 -2 200 (base 13) to base 4 11102 -45 (base 13) to base 8 -71 3a (base 11) to base 9 47 -12 (base 5) to base 11 -7 What is -20 (base 5) in base 3? -101 Convert -22 (base 15) to base 5. -112 What is -3 (base 14) in base 2? -11 Convert 45 (base 7) to base 8. 41 Convert 3 (base 9) to base 3. 10 Convert -1011 (base 2) to base 11. -10 What is 1 (base 12) in base 2? 1 Convert b (base 14) to base 12. b 3 (base 11) to base 12 3 Convert 22 (base 5) to base 6. 20 What is 10000011 (base 2) in base 8? 203 7 (base 12) to base 2 111 -1 (base 13) to base 3 -1 Convert 54 (base 6) to base 8. 42 -4 (base 16) to base 5 -4 4 (base 16) to base 2 100 0 (base 13) to base 5 0 Convert -6 (base 12) to base 3. -20 What is 23 (base 9) in base 4? 111 What is -12 (base 6) in base 3? -22 Convert 5 (base 7) to base 10. 5 What is -7 (base 11) in base 10? -7 What is 1 (base 2) in base 10? 1 Convert -d3 (base 15) to base 5. -1243 -27 (base 12) to base 14 -23 What is 47 (base 13) in base 9? 65 -301 (base 6) to base 15 -74 Convert 10001110 (base 2) to base 10. 142 What is 1 (base 14) in base 7? 1 7e (base 16) to base 5 1001 -2 (base 13) to base 4 -2 1 (base 2) to base 14 1 Convert 42 (base 15) to base 6. 142 What is 103 (base 14) in base 10? 199 Convert 12 (base 6) to base 11. 8 What is 13 (base 15) in base 8? 22 Convert 5 (base 9) to base 8. 5 Convert -42 (base 12) to base 14. -38 What is 0 (base 2) in base 16? 0 Convert -96 (base 13) to base 11. -102 Convert -1013 (base 4) to base 11. -65 16 (base 8) to base 3 112 What is -26 (base 13) in base 6? -52 What is 4 (base 9) in base 8? 4 Convert -2 (base 12) to base 4. -2 120 (base 9) to base 13 78 Convert 14 (base 9) to base 5. 23 -2 (base 3) to base 14 -2 What is -1 (base 13) in base 9? -1 -11 (base 8) to base 16 -9 -1 (base 5) to base 8 -1 Convert -36 (base 13) to base 5. -140 Convert 12021 (base 3) to base 15. 97 What is -12 (base 11) in base 6? -21 Convert -20 (base 3) to base 9. -6 -1 (base 10) to base 12 -1 -5 (base 14) to base 3 -12 Convert 110000 (base 2) to base 5. 143 Convert 70 (base 15) to base 10. 105 What is -130 (base 4) in base 14? -20 What is 101111101 (base 2) in base 8? 575 What is -1 (base 14) in base 12? -1 What is -20 (base 5) in base 8? -12 What is 0 (base 4) in base 12? 0 What is -5 (base 14) in base 5? -10 What is -51 (base 10) in base 14? -39 -58 (base 13) to base 16 -49 -20 (base 8) to base 14 -12 Convert 1 (base 14) to base 12. 1 -31 (base 14) to base 9 -47 -12 (base 6) to base 16 -8 -2 (base 15) to base 2 -10 Convert -611 (base 8) to base 3. -112120 1 (base 15) to base 12 1 Convert -13 (base 14) to base 15. -12 -25 (base 7) to base 12 -17 Convert -242 (base 11) to base 10. -288 11 (base 10) to base 6 15 -3 (base 7) to base 12 -3 What is -1 (base 8) in base 13? -1 -101 (base 2) to base 6 -5 Convert -45 (base 7) to base 14. -25 Convert 4 (base 12) to base 9. 4 -8 (base 14) to base 4 -20 What is 13 (base 9) in base 6? 20 What is -82 (base 13) in base 15? -71 What is 2 (base 12) in base 6? 2 What is -13 (base 6) in base 8? -11 What is -1 (base 6) in base 5? -1 What is 111 (base 2) in base 16? 7 Convert 2b (base 16) to base 10. 43 Convert 12021 (base 3) to base 12. ba Convert 45 (base 6) to base 7. 41 What is 54 (base 9) in base 14? 37 Convert 0 (base 2) to base 16. 0 What is 18 (base 14) in base 10? 22 Convert -2 (base 4) to base 10. -2 What is -13 (base 4) in base 16? -7 Convert -10 (base 4) to base 5. -4 What is -1 (base 8) in base 6? -1 Convert -6 (base 12) to base 6. -10 -b (base 12) to base 13 -b Convert -2 (base 10) to base 4. -2 What is 1131 (base 4) in base 16? 5d Convert 89 (base 10) to base 9. 108 What is -47 (base 9) in base 15? -2d What is 3 (base 6) in base 8? 3 What is 34 (base 10) in base 9? 37 Convert 100 (base 2) to base 6. 4 What is -e (base 16) in base 14? -10 2 (base 9) to base 5 2 What is 10100000 (base 2) in base 16? a0 -150 (base 7) to base 8 -124 What is a (base 16) in base 4? 22 Convert 43 (base 9) to base 16. 27 Convert -6 (base 16) to base 13. -6 Convert 102 (base 6) to base 11. 35 What is -44 (base 12) in base 13? -40 Convert 42 (base 16) to base 11. 60 Convert -5 (base 8) to base 10. -5 Convert 5 (base 6) to base 2. 101 Convert 22 (base 11) to base 5. 44 Convert -1222 (base 3) to base 16. -35 What is -11 (base 9) in base 2? -1010 d (base 15) to base 3 111 e (base 16) to base 12 12 -213 (base 4) to base 8 -47 Convert 1 (base 16) to base 13. 1 Convert -5b (base 15) to base 13. -68 What is -2 (base 7) in base 14? -2 Convert 1010 (base 2) to base 5. 20 3 (base 6) to base 14 3 -17 (base 12) to base 15 -14 What is -7 (base 11) in base 4? -13 What is 502 (base 7) in base 13? 160 -3 (base 15) to base 4 -3 What is -2 (base 11) in base 15? -2 Convert -27 (base 8) to base 15. -18 -1 (base 2) to base 14 -1 Convert 18 (base 13) to base 2. 10101 Convert -2c (base 16) to base 4. -230 Convert -21201 (base 3) to base 16. -d0 -2 (base 5) to base 15 -2 Convert 1 (base 11) to base 15. 1 -13 (base 6) to base 16 -9 Convert -5 (base 6) to base 16. -5 -5 (base 16) to base 14 -5 What is 29 (base 16) in base 7? 56 What is 9 (base 10) in base 4? 21 What is -3 (base 11) in base 6? -3 Convert 33 (base 5) to base 4. 102 -15 (base 7) to base 13 -c What is 2 (base 5) in base 11? 2 -8 (base 16) to base 2 -1000 -110 (base 3) to base 11 -11 58 (base 16) to base 14 64 What is -4 (base 16) in base 5? -4 Convert 10 (base 3) to base 6. 3 Convert -3 (base 6) to base 15. -3 What is -a (base 12) in base 9? -11 -62 (base 13) to base 8 -120 -1 (base 13) to base 5 -1 4 (base 8) to base 7 4 -1 (base 8) to base 15 -1 3 (base 11) to base 2 11 120 (base 3) to base 16 f -12 (base 3) to base 10 -5 What is 123 (base 7) in base 2? 1000010 1 (base 3) to base 11 1 Convert -1e (base 16) to base 4. -132 What is dc (base 16) in base 13? 13c Convert -1a (base 14) to base 13. -
{ "pile_set_name": "DM Mathematics" }
9? False Do 1438 and 1436 have the same value? False Is -379 smaller than -380? False Which is greater: -38 or -358? -38 Is -2 less than 7? True Is 0 at most as big as 41/180? True Which is smaller: -18 or -1/12? -18 Is -91 != -1? True Which is greater: -100/9 or -12? -100/9 Is 1/13 smaller than -27/2? False Which is bigger: -10 or -21? -10 Is 14/9 < 3? True Which is greater: 16 or 17? 17 Is 8087 bigger than 8087? False Is -1 bigger than 2/127? False Which is smaller: 6 or -98? -98 Is 3 >= 1? True Is 710 smaller than 710? False Is 2/2939 < -3? False Are -1/25900 and 1 equal? False Which is greater: -1 or 3/176? 3/176 Is 641 greater than 640? True Is -18 bigger than -4? False Is -17/37 at most as big as 1? True Which is greater: -8/3 or 0.1? 0.1 Which is smaller: 0 or -3/1771? -3/1771 Which is bigger: 10 or 16? 16 Is 15151 < 15151? False Which is bigger: -535/204 or -2? -2 Is 1392 at least 1392? True Which is bigger: -5 or -2/2009? -2/2009 Is 1/1033 greater than or equal to -3? True Which is smaller: -70.4 or -2/7? -70.4 Which is smaller: 43 or 47? 43 Which is smaller: 761 or 763? 761 Which is greater: 551 or 546? 551 Is 138 less than 150? True Is 1232 greater than 1231? True Is 593 less than or equal to 593? True Which is greater: 0.1 or -45? 0.1 Is 4035 bigger than 4034? True Which is smaller: -3430/29 or -117? -3430/29 Is -198/7 less than or equal to 4? True Which is smaller: 201/2 or 102? 201/2 Which is smaller: -74 or -1/2? -74 Which is greater: 15/7 or -3? 15/7 Is 1/5159 equal to 1? False Which is bigger: 1/1482 or 1? 1 Which is smaller: -847/2 or -423? -847/2 Is -3/811 not equal to 0? True Which is bigger: -707/3 or -235? -235 Which is bigger: -6/7 or -1410? -6/7 Which is bigger: 10 or -10? 10 Is 1/3 greater than -0.0494? True Is 0 > -8/647? True Is -843 < -843? False Is 1 < 4/4815? False Does 0 = -1/333? False Which is greater: -0.0006 or 22? 22 Is -268/9 at least -29? False Which is smaller: -577 or -578? -578 Is -1043 >= -1043? True Which is bigger: 6359 or 6357? 6359 Which is smaller: -159 or 8? -159 Which is smaller: 162 or 178? 162 Which is smaller: -2/5 or 1.8919? -2/5 Which is smaller: 2/3373 or 0? 0 Which is smaller: -62/37 or -2? -2 Which is greater: 2/265 or -1? 2/265 Is 159 at least as big as 152? True Which is bigger: -1 or 34/505? 34/505 Which is bigger: -9 or -53/7? -53/7 Which is greater: 1 or 1/1102? 1 Is -27 equal to 8? False Is 0 bigger than 275/206? False Is 1/3 bigger than -2/1221? True Which is smaller: 6 or -12? -12 Is -9/4 at least as big as -28? True Do -19 and 12 have the same value? False Is -2209 >= -2209? True Is 0.2 equal to 381? False Is 0 != 33/137? True Is 0.412 less than or equal to -3? False Is -1 != 2/4811? True Which is smaller: -76 or 0.15? -76 Which is bigger: 20/681 or 1? 1 Is -254 bigger than -283? True Is 104 > 98? True Which is smaller: 219 or 199? 199 Is 0 bigger than 4/2399? False Which is smaller: -5 or -3.91? -5 Is 2876/7 >= 411? False Is 7883 at least as big as 7883? True Which is smaller: 191 or 2480/13? 2480/13 Is 6/413 < 0? False Is -3/169 greater than -1? True Is 2/7 less than 3978? True Is -11 at least as big as 2671? False Is 0.12 at least 52? False Which is bigger: 2767 or 2768? 2768 Which is smaller: 0 or -2/9593? -2/9593 Which is smaller: 0 or 860? 0 Which is greater: -7/1156 or 0? 0 Is 13769 smaller than 0.1? False Are -4/47 and 22.9 equal? False Is -3 bigger than -8/43? False Which is bigger: 40 or 37? 40 Which is bigger: 801 or 806? 806 Is -6/595 <= 1? True Which is smaller: 2 or 4.07? 2 Which is bigger: -1903/5 or -382? -1903/5 Is 2/116121 at most as big as 1? True Which is smaller: 614 or 616? 614 Which is smaller: 1/3 or 8/5? 1/3 Which is greater: -131 or 1? 1 Is -892 at least -891? False Which is smaller: 1 or -12/211? -12/211 Is 3 > 56/31? True Which is smaller: -188/25 or -8? -8 Which is greater: 2578 or 2577? 2578 Is 0 less than or equal to 1/6730? True Is 5/2 != -30? True Which is greater: 0 or 3/691? 3/691 Which is smaller: -1 or -647? -647 Is 428/7 at most as big as 61? False Is 1089 greater than 1089? False Which is smaller: -79/109 or -1? -1 Which is bigger: -78 or -121? -78 Is 602 less than 604? True Is -2393 equal to -3? False Is 0.18 != -0.2? True Which is bigger: -431 or -1/3? -1/3 Which is bigger: 75 or -3? 75 Which is greater: 2/6593 or 1? 1 Do 2/5 and -7 have different values? True Is 48 at least 46? True Which is bigger: 68/19 or 5? 5 Is -271 <= 2? True Is -625 less than -625? False Which is bigger: -115 or 4? 4 Are 5/528 and 0 nonequal? True Is -168 not equal to -333/2? True Which is smaller: -1/2921 or -1? -1 Is 4 at most as big as 19? True Which is bigger: 0 or 733? 733 Which is greater: -530 or -2/3? -2/3 Which is smaller: 0.3 or 193.2? 0.3 Which is greater: 144/11 or 14? 14 Does 3 = 32/17? False Which is smaller: 1389 or 1388? 1388 Which is smaller: -791 or -793? -793 Which is smaller: 471 or 465? 465 Is -1 at most 1/1542? True Which is smaller: -631 or -632? -632 Which is bigger: 3620 or 3619? 3620 Which is bigger: -102/31 or -2? -2 Do 0.6 and 3/13 have the same value? False Which is greater: -1/4 or 761? 761 Is -1 greater than or equal to 6/1487? False Which is smaller: -2 or 15.84? -2 Does 297 = 40? False Which is greater: -17 or 13? 13 Is 0.1 greater than 2705? False Is -16406/3 smaller than -5469? False Is 345 smaller than -11? False Is -4/905 bigger than -1? True Which is bigger: 117 or 116? 117 Is 217 less than or equal to 219? True Which is smaller: -68 or -754/11? -754/11 Do 51 and -7 have different values? True Is 6/2525 not equal to -1? True Is 1 smaller than 10/2029? False Is 77 <= -21? False Which is greater: 0.04 or -1.147? 0.04 Is 5.2 greater than or equal to 20? False Which is smaller: -1 or 2? -1 Which is bigger: -19/4 or -54? -19/4 Which is bigger: 0.2 or 275? 275 Which is greater: -153 or -155? -153 Which is bigger: -1 or -1/12394? -1/12394 Which is smaller: -4 or -144/29? -144/29 Which is smaller: 4 or 25/8? 25/8 Is 0 greater than or equal to 19/40? False Which is smaller: -2/4103 or 1? -2/4103 Which is bigger: -23 or -20? -20 Are -11 and 1/122 unequal? True Is -7013/5 not equal to -1403? True Is 4 != 24/7? True Is -522 bigger than -521? False Are 1/2 and 528 non-equal? True Is 48/79 at most 0.04? False Is 9918 less than 0? False Which is smaller: -27/44 or -2? -2 Are 2553 and 2554 unequal? True Which is greater: -6/7 or -4? -6/7 Is 0 < -0.0378? False Which is smaller: 37 or -277? -277 Which is smaller: -1.643 or -1/4? -1.643 Is -1 at least -2536.3? True Is 1/2 not equal to -0.8? True Which is bigger: 140 or 154? 154 Which is greater: -5/7 or -17? -5/7 Is 8 smaller than 38? True Which is smaller: -3449 or -3450? -3450 Is -2/2087 at most -1? False Which is greater: 2/9 or 2/627? 2/9 Which is bigger: -298 or -289? -289 Which is greater: 22 or 35? 35 Is -3098 < -18589/6? False Which is bigger: -1/19242 or 1? 1 Is 0.1 bigger than 1263? False Is -33/184 < 1? True Which is smaller: 3 or -1.5? -1.5 Which is bigger: 4665 or -3? 4665 Is -2 <= 251? True Is 116/5 <= 23? False Is -0.252 at most 0? True Which is greater: 779 or 782? 782 Is -1/72 != -1? True Which is smaller: 8/7887 or 1? 8/7887 Which is smaller: -1/1523 or 1? -1/1523 Is -9 at least -125/13? True Is 0 at least -14/43? True Is -0.3 less than or equal to 50? True Is -115 greater than or equal to -115? True Which is smaller: 1 or -16.07? -16.07 Is -3 > -398? True Is 2/5 not equal to -1? True Which is smaller: 278 or 2? 2 Which is smaller: -102 or -203/2? -102 Which is bigger: 13/2469 or 1? 1 Which is smaller: -131 or -121? -131 Which is greater: 8/3 or -31? 8/3 Which is smaller: -0.03 or -2065? -2065 Which is smaller: 1/17 or 2/717? 2/717 Which is bigger: -4 or -32? -4 Which is greater: 1449 or 1438? 1449 Which is greater: -6816 or -6819? -6816 Which is smaller: -0.19 or 7? -0.19 Which is greater: -6.7 or -1/46? -1/46 Is -1465 equal to -1463? False Which is bigger: -222 or 1.2? 1.2 Which is greater: 11/191 or 1? 1 Which is greater: 1 or 1/16152? 1 Do 120 and 115 have the same value? False Is 415 not equal to 415? False Is -28/5 <= 28? True Is -29 less than -24? True Which is bigger: -10 or -9? -9 Is -1 at least 26382? False Are -1 and 4/1397 non-equal? True Which is smaller: 168
{ "pile_set_name": "DM Mathematics" }
4? 5477 What is the next term in -6332, -25462, -57388, -102110, -159628, -229942, -313052? -408958 What is the next term in -24596325, -24596329, -24596335, -24596343, -24596353, -24596365, -24596379? -24596395 What comes next: 6429, 6432, 6435, 6438? 6441 What is next in 12531, 12527, 12521, 12513, 12503? 12491 What is next in 347, 589, 1097, 2003, 3439, 5537? 8429 What is the next term in 678, 682, 692, 708, 730, 758? 792 What is the next term in 949, 2135, 3321, 4507, 5693? 6879 What comes next: 77010, 77042, 77094, 77166, 77258, 77370, 77502? 77654 What comes next: 1569, 1712, 2067, 2730, 3797? 5364 What is the next term in 593, 2706, 6227, 11156, 17493, 25238? 34391 What is next in -65405, -65404, -65403, -65402, -65401, -65400? -65399 What comes next: -32675, -130681, -294029, -522719? -816751 What is next in -26, -691, -2506, -6047, -11890? -20611 What comes next: -3267, -6345, -9421, -12495? -15567 What comes next: -1389, -5519, -12403, -22041, -34433? -49579 What is the next term in -454, -3651, -12332, -29239, -57114? -98699 What is next in -170, -106, -82, -98, -154? -250 What comes next: -816, -1565, -2312, -3057, -3800? -4541 What is next in -1215, -2484, -3765, -5064, -6387? -7740 What comes next: 217, 611, 1267, 2185, 3365, 4807? 6511 What comes next: -247, -1190, -2755, -4942, -7751, -11182? -15235 What comes next: 12, 152, 418, 810, 1328, 1972? 2742 What comes next: 9121, 18236, 27325, 36376, 45377, 54316, 63181? 71960 What is the next term in 904045, 904039, 904033, 904027? 904021 What comes next: 116, 965, 3306, 7883, 15440? 26721 What is next in -148, -91, 72, 401, 956? 1797 What is the next term in -100648, -100561, -100408, -100183, -99880, -99493? -99016 What is next in 179, 166, 125, 38, -113, -346, -679? -1130 What comes next: 73, 345, 823, 1507, 2397, 3493? 4795 What is next in 3207, 3205, 3203, 3201? 3199 What is the next term in -725, -756, -773, -770, -741, -680, -581, -438? -245 What comes next: -2457, -4932, -7417, -9918, -12441, -14992? -17577 What is next in -249, -1045, -2373, -4233, -6625, -9549, -13005? -16993 What is next in 25724, 51442, 77160? 102878 What comes next: 18, 65, 118, 177, 242, 313? 390 What is next in -3975, -3941, -3885, -3807, -3707? -3585 What is the next term in -7183, -7224, -7265, -7306? -7347 What is next in 15249, 30368, 45487? 60606 What comes next: 4626, 9252, 13878? 18504 What comes next: 74949, 149896, 224839, 299778, 374713, 449644? 524571 What is next in -13233, -26463, -39693, -52923, -66153, -79383? -92613 What is the next term in 549, 1182, 1867, 2610, 3417, 4294? 5247 What comes next: 5249, 41996, 141739, 335978, 656213, 1133944? 1800671 What is next in -112416, -112416, -112414, -112410, -112404, -112396, -112386? -112374 What comes next: -290, -1161, -2600, -4601, -7158, -10265, -13916? -18105 What is the next term in -14123, -28148, -42173, -56198, -70223? -84248 What comes next: 412, 1188, 2320, 3796, 5604, 7732? 10168 What is next in 37, 59, 83, 115, 161, 227? 319 What is the next term in -39756, -79503, -119250, -158997, -198744, -238491? -278238 What comes next: -127, -407, -869, -1513, -2339? -3347 What is next in 9789, 19578, 29367? 39156 What comes next: -6801, -13167, -19535, -25905? -32277 What is next in 1075, 4177, 9341, 16561, 25831, 37145, 50497? 65881 What is next in 1708478, 1708479, 1708480, 1708481, 1708482? 1708483 What is next in -822, -1077, -1332, -1587, -1842? -2097 What is the next term in 124, 342, 650, 1048, 1536? 2114 What is the next term in -5917, -11848, -17779? -23710 What is the next term in -1085, -2186, -3287, -4388? -5489 What comes next: 1731, 3543, 5355? 7167 What is next in 356329, 356330, 356331, 356332, 356333? 356334 What is next in 78, 229, 514, 999, 1750, 2833, 4314? 6259 What comes next: -1741, -3822, -5903, -7984, -10065, -12146? -14227 What is next in -25629, -25630, -25631, -25632, -25633, -25634? -25635 What is next in 562344, 1124688, 1687032, 2249376, 2811720, 3374064? 3936408 What comes next: -672, -1305, -1938? -2571 What comes next: 145, 399, 753, 1201, 1737, 2355? 3049 What is next in -284091, -284092, -284093, -284094, -284095? -284096 What is the next term in -4195, -4367, -4539, -4711? -4883 What comes next: -76, 108, 356, 620, 852, 1004? 1028 What comes next: 979, 1946, 2917, 3892, 4871, 5854? 6841 What comes next: -217, -1263, -3003, -5437, -8565, -12387? -16903 What is next in 167419, 334836, 502251, 669664, 837075, 1004484, 1171891? 1339296 What is next in -4139, -4135, -4131? -4127 What comes next: 1768, 14196, 47926, 113608, 221892, 383428, 608866, 908856? 1294048 What is next in 352, 694, 990, 1234, 1420? 1542 What is next in -341, -659, -961, -1241, -1493? -1711 What comes next: -445, -605, -765, -925, -1085, -1245? -1405 What is the next term in -43076, -172235, -387502, -688877, -1076360, -1549951? -2109650 What is the next term in 3831, 3872, 3911, 3948, 3983, 4016, 4047? 4076 What is next in -485, -1172, -1859, -2546, -3233, -3920? -4607 What comes next: 130629, 130628, 130627, 130626, 130625, 130624? 130623 What comes next: -11570, -23145, -34720? -46295 What is the next term in 913, 3483, 7773, 13795, 21561, 31083? 42373 What comes next: -132, -472, -814, -1158, -1504, -1852? -2202 What is next in 1868, 1847, 1838, 1847, 1880, 1943, 2042? 2183 What is the next term in 78, 167, 256, 345? 434 What comes next: 6322, 11498, 16664, 21814, 26942, 32042? 37108 What is next in -312, -260, -208, -156, -104? -52 What comes next: 2396, 2394, 2392, 2390? 2388 What comes next: 1815, 2466, 3117, 3768, 4419, 5070? 5721 What comes next: -24989, -49981, -74973, -99965? -124957 What is the next term in -7480, -14967, -22452, -29935, -37416? -44895 What is the next term in -1386, -5548, -12484, -22194, -34678? -49936 What is the next term in -669, -2630, -5887, -10440, -16289? -23434 What is the next term in -1397, -1375, -1353, -1331, -1309, -1287? -1265 What comes next: -4483, -4482, -4481, -4480? -4479 What is the next term in -391, -305, -219, -133, -47? 39 What is the next term in -20735, -20732, -20729? -20726 What is the next term in 1273822, 1273825, 1273828, 1273831? 1273834 What comes next: -2699, -2856, -3019, -3188, -3363, -3544? -3731 What comes next: 46, 125, 250, 415, 614, 841? 1090 What comes next: -21178, -42345, -63492, -84613, -105702, -126753? -147760 What is the next term in -429, -1549, -3417, -6033? -9397 What is next in 507, 995, 1483, 1971, 2459? 2947 What is the next term in 8299, 8503, 8707, 8911? 9115 What comes next: -255926, -511854, -767778, -1023698, -1279614, -1535526, -1791434? -2047338 What is next in 53, 220, 497, 884? 1381 What comes next: -474, -439, -360, -231, -46, 201, 516, 905? 1374 What is next in 80, 237, 630, 1367, 2556? 4305 What comes next: -2083, -4100, -6117, -8134? -10151 What is next in 999681, 1999306, 2998919, 3998514, 4998085? 5997626 What comes next: -609, -680, -787, -924, -1085, -1264, -1455, -1652? -1849 What comes next: -4274, -8724, -13174, -17624, -22074, -26524? -30974 What comes next: 37, -332, -931, -1748, -2771? -3988 What is the next term in 1125, 2174, 3245, 4350, 5501, 6710, 7989, 9350? 10805 What is the next term in 11425, 11429, 11433, 11437, 11441? 11445 What is the next term in -325, -386, -459, -544? -641 What is the next term in 3349, 6737, 10139, 13561, 17009, 20489, 24007, 27569? 31181 What is the next term in -27793, -27792, -27791? -27790 What comes next: 382, 476, 568, 658, 746, 832, 916? 998 What comes next: 52573, 52555, 52509, 52423, 52285? 52083 What comes next: -72, -280, -650, -1218, -2020, -3092? -4470 What is the next term in -18, 97, 346, 729, 1246, 1897, 2682? 3601 What is next in -9492, -37960, -85404, -151824, -237220, -341592? -464940 What is the next term in -5810, -5732, -5668, -5624, -5606, -5620? -5672 What is next in 2398, 9344, 20922, 37132, 57974, 83448, 113554? 148292 What is next in -852, -3361, -7548, -13419, -20980, -30237, -41196, -53863? -68244 What is next in -122486, -244987, -367496, -490013, -612538, -735071? -857612 What is the next term in 192694, 192690, 192684, 192676, 192666? 192654 What comes next: 529223, 529224, 529225, 529226? 529227 What is the next term in -19388, -38774, -58160, -77546, -96932, -1
{ "pile_set_name": "DM Mathematics" }
3))**25 assuming f is positive. f**(8075/231) Simplify (u**(-6/11)/u**(-1)*(u*u**0)/(u**0/u))**33 assuming u is positive. u**81 Simplify (d/d**36*d/d**38)/(d*(d/(d*((d/(d*d**(-1/10)))/d)/d))/d*d)**(-18/11) assuming d is positive. d**(-3699/55) Simplify u**(-4/3)*u**(-3/4)/u*(((u*u**(-1/4))/u)/u)**(-9/7)*(u/((u/(u*u**(-2/5)*u))/u))/u*u*u/u**(-5/6)*((u/u**2)/u)**(-1/24) assuming u is positive. u**(1277/420) Simplify (((h*h**(3/7)/h)/h)/((h*h**(-13/5)*h*h)/h*h)*h**(1/4)/h*h**(-8))**(-7/4) assuming h is positive. h**(1361/80) Simplify ((m**(9/8))**(-2/139)*m**7/(m**(15/8)/m))**(-1/7) assuming m is positive. m**(-6793/7784) Simplify (((p**(-3/5)/p**(-11))**(-1/17))**(-41))**(-27/7) assuming p is positive. p**(-57564/595) Simplify (m**(1/8)/m*m/(m**(-2/15)*m*m)*(m**(-1))**26)/(((((m/(m*m**(-3)))/m)/m)/m*m*m/(m/m**6))/(m/m**(-1))**(-1/8)) assuming m is positive. m**(-4199/120) Simplify ((v/(v/v**(4/9)))/v**(-7)*((v*((v/(v/v**(-3/4))*v*v)/v)/v)/v)/(v*((v/(v/(v*v**(2/23))))/v)/v))**(23/4) assuming v is positive. v**(5471/144) Simplify ((t/t**(2/5))**(-1/5))**(-9)*(t*t*t*t/(t/(t**(-6/5)*t))*t**(-3/8)*t)/(t*(((t**4/t)/t)/t)/t*t*t**(-2)) assuming t is positive. t**(901/200) Simplify (s**(-18)*s*s)**(-2/19)/((s**(-35)/s)/(s**12*s)) assuming s is positive. s**(963/19) Simplify ((c*c**(-29)/c*c*c)/c)**(-31)*(c**(17/4))**7 assuming c is positive. c**(3591/4) Simplify (o**(-9)*o/(o/(o/(o*o/o**(-2/11))))*o*o/o**31*o**(-23))**(-26) assuming o is positive. o**(17784/11) Simplify ((j/(j**(-1/39)/j))/((j**13*j)/j*j)*(j**2/j)**(-31))**(-33/5) assuming j is positive. j**(18436/65) Simplify (n**(3/5)/(n**(5/4)/n))**(-40)*n**(2/5)*n*n**(-1)*n*(n/n**(-3/5))/(n/(n**(-2)/n)) assuming n is positive. n**(-15) Simplify ((w*w**(-3/8)/w*w)**(-18/11)/(w**4*w)**28)**(-42) assuming w is positive. w**(130305/22) Simplify (z**(1/6)*z**(2/19)*(z*z*z*z*z**(-15))**(2/53))**(34/7) assuming z is positive. z**(-14705/21147) Simplify (((t*t**(-2/21)*t)/t**(-28))/(t**(-27)*t**(-1/26)))**(-10) assuming t is positive. t**(-155455/273) Simplify ((n**(-2/5)/(n/((n*n**1)/n))*(n**(-8)/n)/n**(-9))**(-8))**10 assuming n is positive. n**32 Simplify (((r**(-2)*r)/r*r*r)/r**(4/9))**42*r**4/(r*r**2)*(r**(2/7))**(-1/17) assuming r is positive. r**(-6313/357) Simplify ((c/c**(-1/27)*c)/c**(-1/19)*c**(8/5)/c**(1/9))**(-19) assuming c is positive. c**(-9179/135) Simplify (a**0)**(26/9)*a**0/(a**(2/15)/a)*((a**(-1/3))**32)**(13/8) assuming a is positive. a**(-247/15) Simplify ((p**(3/4)*p)/(p/((p*p**(1/2)/p*p)/p))*(p/(((p*(p**0*p*p)/p)/p)/p))**20)/((p**(-1/3)/p*p)**(-2/135))**43 assuming p is positive. p**(34081/1620) Simplify ((g**(-6/5)/(g/(g/g**9)))/(g/(g*g*g**(3/8))*g)**(-43))**36 assuming g is positive. g**(-9477/10) Simplify ((s**(3/2)/s*s**(-1/8)*s/(s*s*s*s*s*((s**(5/3)*s)/s)/s*s)*s**0)**(-44))**(1/50) assuming s is positive. s**(1397/300) Simplify ((t**(-4/7)/(t**(6/7)/t*t)*t**0*t*(t**5/t*t)/t)**(-10))**30 assuming t is positive. t**(-7500/7) Simplify q**(-2/9)/(q**(-2/3)/q)*(q**(-1))**(1/12)*(q*(q/q**(2/5))/q)**1*(q**(-1/3))**(5/12) assuming q is positive. q**(82/45) Simplify (((a**(2/31)*a)/a*(a*a**23)/a*a)**(-6/17))**(3/29) assuming a is positive. a**(-13428/15283) Simplify (z/z**(2/5))**(2/101)*(z**(-2/7))**(-1/9)*(z*z**(-4/7))/z**(1/3)*z**(-4/3)*z/(z**(1/2)/z) assuming z is positive. z**(19441/63630) Simplify ((s**1)**31*s/(s/((s/(s/s**(-1)))/s))*s*s**4)/((s/((s*s**(-1))/s*s))**(-36)/(s**2*s**(-3/8))) assuming s is positive. s**(573/8) Simplify (((t/(t*((t/t**(2/3)*t)/t)/t))/t**(1/8))/(t/t**(-4)*t*t**(1/4)*t))/(((t/(t/((t*t*t**8)/t)*t))/t)/t*t**8*t)**(-3/34) assuming t is positive. t**(-2197/408) Simplify (q**(-1)/q**3*(q/q**(-2/3))**34)/((q**3*q)/q*q*q*q**(-5)*q/(q**(-1/2)/q*q)*q*q*q*q**(-2/5)/q) assuming q is positive. q**(1487/30) Simplify ((f**0/f)/f)**(-31)/(f**(2/9))**(5/9)*(f**(2/11))**(-2/105)/((f/((f/(f*f**(-1/2)))/f))/f*(f/f**0*f*f)/f) assuming f is positive. f**(3703099/62370) Simplify ((((x/(x**(1/3)*x))/(x/(x*x/(x*x*x*x**(-2)))))/(x/x**(-5)*x/(x/x**(-2))))**(-45))**(-17) assuming x is positive. x**(-3315) Simplify ((r/(r**(-2/3)*r))**(-3/28)*r**(-2/63)*(r*(r/(r*r/(r/(r**(-38)*r))))/r)/r)**(2/23) assuming r is positive. r**(4523/1449) Simplify (u*u**34*u*u**(-2)*u*(u**(3/14)*u*u)/(u*u**(-4/3)))**(-15) assuming u is positive. u**(-7885/14) Simplify (((x*x*x/(x*x*x**(-1/3))*x*x)/x)/x*x)**22/(x**(1/3))**(3/8)*(x**(1/2)/((x*x**(-5)*x*x)/x))/(x**(-7)*x**(4/5)) assuming x is positive. x**(7309/120) Simplify (t**(1/11)/(t/(t/(t*t**(-2)))*t))**(-40)*(t/(t/(t**(1/4)/t)))**28*(t**(1/2))**(7/6) assuming t is positive. t**(-3175/132) Simplify ((g/(g**10/g))/g*(g/g**1)/g*((g*g/g**(-21)*g)/g*g*g)/g*g**(-18)/g)**(3/4) assuming g is positive. g**(-15/4) Simplify (t**(-1)*t**(1/2))**(-43)/(t**(-2/3)/t**(-6/5))**(-2/115) assuming t is positive. t**(74207/3450) Simplify ((q*q/(q*((q**(-1/2)*q)/q*q*q)/q*q))/(q**(-5)*q)*(q*q*q*q**(-4/15)*q)/q*q**5)**(-5) assuming q is positive. q**(-337/6) Simplify h**(-3/2)/((h*h*h/((h**(6/11)/h)/h)*h)/h*h)*(h*h**(-1/6))/(h**6*h)*h**(-2)/h**(-1)*(h/h**(1/2))**(5/4) assuming h is positive. h**(-3563/264) Simplify ((s/(s**(2/9)/s))/s**3*(s/s**(-1))/(s*s*s*s/(s/(s/(s**4*s)))))/((s**(-2))**48*s**(-8)/s**5) assuming s is positive. s**(997/9) Simplify ((p**(1/4)/((p/(p*p*p/(p*p/p**0*p)*p))/p))/(p**6/p**(-6)))/(p/p**(2/33)*p/p**(-2/9)*(p/(p**(-1)*p*p)*p)**(6/19)) assuming p is positive. p**(-99523/7524) Simplify (g/((g/g**(-1/4))/g))**(-1/3)/((g/g**(-3))/(g**(4/11)*g*g))*(g/g**(2/3))/((g**6*g)/g*g*g)*(g**(1/5))**(-14) assuming g is positive. g**(-8153/660) Simplify ((r**(-2)/(r**10/r)*(r*((r*r*r**(2/13)*r*r*r)/r)/r)**(-15))**(-4/7))**(-37) assuming r is positive. r**(-141044/91) Simplify ((y*y/(y**(-4)*y)*y*y)**(-2/5)*y*y**(2/19)*y*y**(-4/19))**13 assuming y is positive. y**(-1118/95) Simplify ((i**(-7)/i)**(1/3)/(i**(1/24)/i**(-2/11)))**46 assuming i is positive. i**(-17549/132) Simplify (k*k/(k**(1/2)/k)*k)**(-14)*((k/(k*k**(-1)))/k*k)**(-13)*((k/k**0)**33)**(3/28) assuming k is positive. k**(-1637/28) Simplify (f/(f*((f**(-3/4)/f)/f)/f)*f/(((f*(f/f**(-3/5))/f)/f)/f*f))**(-18)*((f**(1/4))**17)**(-2/99) assuming f is positive. f**(-37019/495) Simplify m**1/(m*m*m/(m*m/((m*((m/m**6)/m)/m)/m)))*(m/(m/(m*m**0)))/m**(4/7)*(m**(-2)*m/(m/(m**(-3/5)*m)))**(-17) assuming m is positive. m**(1212/35) Simplify ((c**(2/7)/c*c)/(c*c**(-2/3))*(c*c*c*c**1*c)**16)/(c/(c**(-2)*c)*c*(c/((c*c*c**(-2))/c)*c)/c*c**(-5/4)/(c*c**(2/25)*c)) assuming c is positive. c**(164393/2100) Simplify (z**0/(z/(z**(-1/3)/z)))**(-3)/(z/z**(-2/5)*z*(z*z**1/z)/z)**(-41) assuming z is positive. z**(527/5) Simplify (((h*h*h*h/h**1*h)/h*((h*h/(h/h**0))/h)/h*(h**(-1))**(5/8))**(-1/2))**(-2/31) assuming h is positive. h**(11/248) Simplify j**35*j**(1/18)*j*((j**(-36)/j)/j)/(j/(j**(4/25)/j*j)) assuming j is positive. j**(-1253/450) Simplify (k**(-1)/k*k)**(-24)*(k**(-1/4))**(-6/13)*(k**(-1/2)/k*k*k/k**0*k)/((k/(k/(k*k**(-3/8))*k))/(((k**2*k)/k)/k*k)) assuming k is positive. k**(2911/104) Simplify s**(5/4)*s**(2/5)*((s/s**1)/s)**46*(s/(s/(s/(s*s/s**1))))**(-26/7)/(s**(-1))**(1/61) assuming s is positive. s**(-54087/1220) Simplify (z**13/z**(2/7))/(z**(2/47))**(4/13) assuming z is positive. z**(54323/4277) Simplify ((v/(v/(v**(-21)*v))*v)/v*v*v*v/v**(-22/7))/(v/(v/((v*v/v**31)/v))*v/(v*v**(2/91)/v)) assuming v is positive. v**(1380/91) Simplify (z**(-2/21)*z**(7/4)*z*z*z**4*z*z**(-2/29))**(-49) assuming z is positive. z**(-146405/348) Simplify ((m**5*m)/((m/(m**6*m))/m)*(m**(-1/4))**37)/((m*m**(-2/9)*m*m)/m*m**3*m*((m/((m/((m**4/m)/m))/m))/m)/m*m*m*m**(-1/3)*m) assuming m is positive. m**(-205/36) Simplify ((l**(-22)/(l/l**(1/10)*l))/((l*l/l**(-2/17)*l*l)/l*l**29))**(-1/39) assuming l is positive. l**(9523/6630) Simplify ((i**(1/3))**26*(i**(-1))**(-33))/(i**(-3)*i/i**(-2/3)*(i*i/i**(2/3))/(i*i**3)) assuming i is positive. i**(137/3) Simplify ((s*(s*s**(9/11)/s*s)/s)**23*(((s**(4/11)*s*s*s)/s)/s)/s**(6/7))**(23/3) assuming s is positive. s**(74957/231) Simplify ((l**(-1/4)/l*l**(1/5)*l**3*l*l**5)**(28/5))**(-12/7) assuming l is positive. l**(-1908/25) Simplify ((s*(s/(s**(2/25)*s))/s*s*(s**(3/4)/s*s)/s)/((s/s**(-3)*s)/(s/s**7)))**(-6/19) assuming s is positive. s**(3099/950) Simplify (x**(1/8)/x**(-1/4))**(-47)/((x
{ "pile_set_name": "DM Mathematics" }
48))? 3/7 Evaluate ((2/(-4))/((-2)/(-4)))/((-13)/(-52)). -4 (-1)/((-1)/96*-12)*6/(-8) 6 What is the value of 3*(-40)/2100*10/(1/1)? -4/7 Calculate ((-4)/(-1))/((-90)/18)*670/(-3886). 4/29 What is the value of ((-4)/(-3))/(5/(-7)*28/(-35))? 7/3 (-30)/3*-14*145/(-812) -25 Calculate 3/((-285)/25)*(-2)/5. 2/19 (21/((-4872)/(-16)))/(-2)*-3 3/29 What is the value of ((-662)/(-4965))/((-1)/(-5))? 2/3 Calculate 6/(-8)*264/(-330). 3/5 What is the value of (8*4/96)/(3/(-4)*1)? -4/9 Calculate ((-224)/2016)/(4/9). -1/4 What is ((-1)/6)/(20/(-2160))? 18 Evaluate -116*(32/(-160))/(32/40). 29 What is (-2516)/1887*99/(-4)? 33 What is 6/14*((-3)/12)/(27/(-72))? 2/7 ((-7)/63*(-27)/6)/((-5)/(-130)) 13 (11/(539/56))/(-2*(-7)/98) 8 Evaluate 8/(-28)*(-3)/((-345)/(-35)). 2/23 Calculate (6/28)/((328/(-16))/41). -3/7 What is ((-754)/(-39))/(-29)*-30? 20 Calculate ((-1)/27)/((-610)/549). 1/30 What is 1*(3/((-15)/2))/(1/5)? -2 What is ((1/9)/((-24)/(-18)))/1? 1/12 What is the value of 237/(-158)*-14*2/(-3)? -14 ((-1)/10)/((-196)/1050*(-10)/7) -3/8 What is the value of (3330/(-342))/37*-19? 5 What is ((-255)/1071*(-18)/(-5))/((-4)/(-21))? -9/2 What is (((-5)/(-35))/(2/(-7))*2)/(-15)? 1/15 ((-92)/1035)/(78/27) -2/65 What is ((-1)/((-3)/(-2)))/(99/((-1188)/(-24)))? -1/3 (-13)/130*20/4 -1/2 Calculate ((-2)/(-3)*3)/((-37)/((-148)/24)). 1/3 What is the value of 40/(-64)*(-45)/(-50)*-2? 9/8 What is the value of 2*1/(((-51)/34)/((-1)/(-8)))? -1/6 What is ((-4)/(-2))/(13*4/(-182))? -7 Evaluate 36/54*(-7)/(14/15). -5 28/(9044/57)*4/6 2/17 Evaluate 198/(-30)*1*(-40)/24. 11 What is the value of (182/21)/26*279/(-3)? -31 Evaluate (4/(-5))/((-1472)/690). 3/8 Calculate ((64/(-56))/(1988/(-49)))/(1/(-1)). -2/71 ((-16)/25)/(4*30/600) -16/5 What is the value of (((-16)/50)/((-114)/285))/(8/140)? 14 What is (-9)/(-5)*(240/(-108))/((-2)/(-3))? -6 What is 6/(-40)*27/((-5508)/32)*-5? -2/17 What is 75/(-30)*12/20? -3/2 Calculate ((-364)/(-84))/((-1)/(6/2)). -13 Calculate ((-14)/1701*9)/(2/24). -8/9 Calculate 6*(-12)/6*24/36. -8 What is the value of 21*(-14)/21*(-66)/308? 3 ((-1)/15)/(((-1)/(-5))/(354/(-295))) 2/5 Calculate ((-10)/50)/((-9)/(-540)). -12 1/(-2)*1*4664/212*2 -22 (1062/177)/(4/22) 33 What is -10*-4*5/40? 5 ((-30)/(-8640)*18)/(3/(-4)) -1/12 What is 2466/(-548)*16/18? -4 What is the value of (-28)/44*-11*-1? -7 Evaluate -1*153/(-34)*2/(-3)*2. -6 3*2/(-54)*-9*-8 -8 Calculate 35/(-260)*1770/(-2065). 3/26 What is (1099/(-157))/(10/(-4))? 14/5 Evaluate (6/(-21))/(((-6840)/(-336))/(-19)). 4/15 What is the value of ((-7)/(-1))/(-1)*4740/(-2212)? 15 Calculate 380/95*(-1)/5. -4/5 (-3)/(-9)*(-288)/(-160) 3/5 Evaluate 120/(-90)*(-25)/20. 5/3 What is the value of ((-39)/325)/((-9)/30)? 2/5 Evaluate 11/((-55)/50)*(-5)/(25/5). 10 Evaluate (40/(-210))/(-4)*18. 6/7 What is (72/(-20))/(18*(-5)/675)? 27 Evaluate (((-4)/42)/(1/9))/((-3310)/34755). 9 Calculate 128/(-64)*14/217. -4/31 Calculate (23/736*-40)/(1/(2/(-2))). 5/4 Evaluate 748/(-374)*10/(-24). 5/6 What is the value of 21/(-15)*(10/(-10))/(-7)? -1/5 Evaluate (2/(-14))/(15/(-21)). 1/5 Calculate (43/(-16770)*45)/(6/13). -1/4 What is (-3*(-2)/(-135))/((3360/70)/240)? -2/9 What is the value of (-30)/6*((-12)/12)/((-1)/(-3))? 15 What is 495/88*(-60)/45*8/(-65)? 12/13 Evaluate (-30)/130*-2*-1. -6/13 What is the value of ((-20)/(-10))/(14/21*1)? 3 What is the value of (9/2)/((-78)/26*(-4)/(-32))? -12 Calculate (-1508)/464*2/13. -1/2 What is 10*(684/(-95))/4? -18 What is the value of (-9)/35*20/6*492/(-984)? 3/7 Calculate 9/(-3)*(-80)/(-60). -4 Calculate (3278/(-894))/(3/(-9)). 11 (11/(-4))/((-9)/(-612)*17) -11 What is ((-13)/(26/(-36)))/(-3*(-6)/(-9))? -9 What is the value of (-30780)/8910*1*11/(-2)? 19 Evaluate (-4)/2*(-3188)/(-797). -8 Evaluate 3/((-12*(-3)/(-16))/(15/(-1))). 20 What is 12573/2667*(-28)/4? -33 Evaluate (62/(-1))/((-1072)/(-536)). -31 (180/(-75))/(80/(-25)) 3/4 Evaluate 42/(-15)*(-900)/630. 4 What is ((-113)/678)/((-3)/6)? 1/3 What is the value of 1508/39*(-12)/16? -29 What is (4/(-40))/1*26/(-195)*10? 2/15 What is the value of (-16*96/128)/(3/(-1))? 4 What is 4/160*-14*(-276)/(-322)? -3/10 What is (-1182)/(-985)*2/(6*3)? 2/15 Evaluate ((-38)/18)/((80/18)/(-40)). 19 Evaluate ((-20)/(-6))/(1262/(-5679)). -15 (1/(15/(-20)))/(376/423) -3/2 Calculate (104/(-8))/13*3/(-3). 1 Evaluate ((3/9)/((-9)/((-207)/23)))/13. 1/39 Calculate (-9)/30*105/(-147). 3/14 Calculate (-208)/39*81/(-378). 8/7 Calculate (2580/(-40))/(-43)*1. 3/2 Evaluate (5*(-10)/200)/((-1)/(-24)*-1). 6 Calculate (7/56)/(((-304)/(-16))/(-5624)). -37 Calculate (-143)/52*2*(-132)/(-121). -6 -1*(-3)/(-6)*((-70686)/(-315))/(-51) 11/5 Calculate ((0/7)/(2/(-1)))/2. 0 What is (((-46)/69)/(28/(-6)))/(6/14)? 1/3 What is the value of (-24)/18*(15/54)/(15/9)? -2/9 Calculate (-7)/(-42)*(-936)/(-546). 2/7 What is the value of 2/4*(1224/60)/(-17)? -3/5 Calculate -2*(-268)/201*((-108)/(-8))/(-9). -4 (9/30)/(36/8)*(-12)/3 -4/15 ((-6)/(-56))/((-241)/3856) -12/7 What is (11/1)/((-6)/6)? -11 What is the value of ((-3)/(-5))/((-210)/140)? -2/5 (((-360)/140)/(-9))/((-100)/(-105)) 3/10 Evaluate (((-6)/(-3))/60)/(4/20). 1/6 What is the value of (12/4)/(((-48)/8)/6)? -3 Calculate (125/(-20))/5*104/(-1235). 2/19 What is 6/(-20)*428/(-642)*8/1? 8/5 What is the value of 20/80*(-36)/(-45)*130/(-6)? -13/3 What is the value of (2/2)/(510/(-30))? -1/17 What is 3/216*4*368/46? 4/9 Evaluate 196/(-7)*(2/10)/(58/(-145)). 14 Calculate 2*((-5)/(125/(-10)))/((-24)/750). -25 Evaluate ((-80)/40)/((-4)/(-26)). -13 (676/3042)/((-10)/(-36)) 4/5 Calculate (11/(-110))/((-6)/(-24)). -2/5 What is (((-64)/(-10))/(-4))/(((-470)/(-100))/47)? -16 What is -1*(-66)/(-44)*(-2)/3? 1 What is the value of 2/(24/(-9))*4/(-6)*14? 7 Calculate ((-406)/1131)/(14/(-182)). 14/3 Calculate (-1014)/(-13182)*(-4)/(12/(-15)). 5/13 Calculate 2/((-1)/(15/(-110))). 3/11 Evaluate (-4)/2*(-99)/30*-5. -33 Calculate (-4*(-9)/(-72))/(3/9). -3/2 What is (5/(-3))/((-12)/891*(-705)/(-188))? 33 15/28*(-2820)/2115 -5/7 What is (-2196)/915*(-5)/14? 6/7 1876/1072*(-8)/(-581) 2/83 What is 8/(-68)*35/(-35)*-1? -2/17 Calculate ((-10)/(-4))/((35/5)/14). 5 What is the value of 301/(-43)*(-6)/(-7)? -6 What is ((-2)/7)/(336/(-392))? 1/3 Calculate 120/64*4/(-30)*5. -5/4 Calculate 219/((-365)/(-5))*3/(18/(-22)). -11 What is the value of 2*(-34)/51*-6? 8 Evaluate (-56)/(-126)*(-81)/45. -4/5 ((2/5)/(9/(-5)))/(31/(-124)) 8/9 What is (-10)/(-38)*9/180*8? 2/19 Evaluate (-8)/6*((-1)/3)/(144/72). 2/9 Evaluate (-852)/426*(-13)/(-2). -13 What is the value of (-4)/21*110/(-440)? 1/21 What is the value of 2/11*(-4497)/2998? -3/11 What is ((-408)/(-1156))/(14/(-476))? -12 (14/18*3)/((-19)/(-399)*7) 7 Calculate (3/9)/((117/(-13))/297). -11 Calculate ((540/(-63))/(-10))/(228/(-84)). -6/19 Evaluate (68/136)/((-18)/(-2)). 1/18 Calculate (96/(-126))/8*5/((-75)/84). 8/15 Calculate 20/(-180)*1224/(-8). 17 ((6/20)/3)/(69/115) 1/6 735/42*2*3/(-7) -15 Evaluate ((-40)/6)/(-11*56/(-924)). -10 Calculate ((-90)/135)/((-12)/9). 1/2 What is the value of (-18)/20*(-17000)/1020? 15 Evaluate (45/105)/((-90)/(-21)). 1/10 Evaluate 4/16*66*(-2)/9. -11/3 Calculate (-60)/(-45)*1755/(-156). -15 What is ((-20)/55)/((-2002)/4719)? 6/7 Calculate ((60/63)/(-5))/((1200/105)/(-8)). 2/15 What is the value of (54/(-1))/9*4/48*-2? 1 Evaluate ((460/(-2065))/23)/(5*2/(-35)). 2/59 Calculate ((-97)/679)/(((-4)/(-70))/(4/(-20))). 1/2 (-1)/(-17)*(-476)/(-504) 1/18 Calculate (-1*(-9)/4)/((-9)/288*4). -18 (-64)/(-3360)*21*-80 -32 Calculate (((-54)/24)/(-3))/((-13)/312). -18 What is the value of ((-1071)/238)/(27/(-78))? 13 (-3)/(((-32)/(-320))/(1*(-6)/15)) 12 What is the value of ((-12)/4)/(69/299)? -13 What is the value of -3*(-10)/(360/(-21))? -7/4 Evaluate (16/1024*4)/((-1)/4)*-1. 1/4 What is ((0/((-7)/(-42)*6))/(-3))/(-2)? 0 What is the value of (((270/25)/2)/((-6)/20))/(-8)? 9/4 Calculate ((-5)/70)/((-39)/234)*(-7)/(-2). 3/2 114/(-684)*(-3)/(-1)*-26 13 Evaluate (75/(-50))/((-3)/(-6)*(-6)/(-16)). -8 ((3/6)/(14/280))/(5/8) 16 What is the value of ((-702)/(-26))/2349*3? 1/29 (6/(-40))/(54/(-360)*10) 1/10 Evaluate 0/(18*3/27). 0 Calculate ((-36)/117)/(((-54)/78)/9). 4 Calculate 2/8*204/(238/(-7)). -3/2 What is ((-6)/885)/(188/(-940))? 2/59 (5842/(-5842))/(55/((-2)/(-2))) -1/55 What is 70/(-140)*(-1)/(3/(-66))? -1
{ "pile_set_name": "DM Mathematics" }
0. -1751937, 2 Find y, given that -3*y**3/8 - 14690367*y**2/8 + 7345188*y - 14690379/2 = 0. -4896793, 2 Determine y, given that -y**3/4 + 12775*y**2/2 + 332882*y - 1433712 = 0. -56, 4, 25602 What is c in 3*c**5 - 23991*c**4 + 2719968*c**3 - 5343996*c**2 = 0? 0, 2, 113, 7882 Factor x**3 - 3681*x**2 - 393537*x - 389855. (x - 3785)*(x + 1)*(x + 103) Determine d, given that -2*d**3 + 38156*d**2 + 5846226*d - 5884380 = 0. -153, 1, 19230 What is z in z**2/4 - 107390463*z/2 + 11532711543354369/4 = 0? 107390463 Let 2*r**2 - 1052476*r - 108426246 = 0. What is r? -103, 526341 Solve -l**2/4 - 925693*l/2 - 925692 = 0. -1851384, -2 Determine p, given that -4*p**4 - 8755150*p**3 - 4790771021016*p**2 + 21558629376352*p - 9581620838528 = 0. -1094396, 1/2, 4 Factor p**3/5 - 401*p**2/5 + 33998*p/5 + 257656. (p - 215)*(p - 214)*(p + 28)/5 Determine s, given that 2024*s**5/15 - 31926*s**4/5 + 28562*s**3/15 + 31362*s**2/5 - 30586*s/15 + 564/5 = 0. -1, 18/253, 1/4, 1, 47 Find l such that -12*l**4/7 + 803*l**3/7 - 3538*l**2/7 + 459*l + 1494/7 = 0. -1/3, 2, 3, 249/4 Factor 2*n**2 - 683671280*n + 58425802387104800. 2*(n - 170917820)**2 Let 12*k**5 - 532*k**4 - 32404*k**3 - 271884*k**2 + 794088*k - 233280 = 0. Calculate k. -24, -15, 1/3, 2, 81 Factor -33*h**2 - 62604*h - 68256. -3*(h + 1896)*(11*h + 12) Factor 2*k**3/21 - 20*k**2/21 - 782*k/21 + 800/21. 2*(k - 25)*(k - 1)*(k + 16)/21 Let 4*r**5/9 + 2824*r**4/3 + 33772*r**3/9 - 12232*r**2 - 338048*r/9 + 135296/3 = 0. What is r? -2114, -4, 1, 3 Factor -4*i**2 + 1340212*i - 75039328. -4*(i - 334997)*(i - 56) Suppose 4*j**2 - 91724*j - 29572728 = 0. Calculate j. -318, 23249 Factor 2*u**3 + 522*u**2 - 130892*u - 803712. 2*(u - 161)*(u + 6)*(u + 416) Factor 2*w**2/25 + 4336*w/25 - 16218306/25. 2*(w - 1963)*(w + 4131)/25 Determine o so that 4*o**2 + 602741*o + 1356147 = 0. -150683, -9/4 What is g in 3*g**2 + 804*g - 866880 = 0? -688, 420 Determine b, given that -3*b**2/8 - 776935251*b/4 - 201209461415477667/8 = 0. -258978417 Factor -3*x**2 - 1723995*x + 1723998. -3*(x - 1)*(x + 574666) What is v in 21*v**5 + 1275*v**4/4 - 9765*v**3 - 12315*v**2 + 15204*v - 2880 = 0? -30, -2, 1/4, 4/7, 16 Determine o so that -o**2/6 - 622660*o/3 = 0. -1245320, 0 Solve -5*t**2/6 - 91377*t/2 - 54825 = 0. -54825, -6/5 What is a in -2*a**3 + 256850*a**2 + 2054896*a + 4109856 = 0? -4, 128433 What is y in -4*y**2/7 - 14773256*y/7 - 13640568302596/7 = 0? -1846657 Suppose -o**3/4 - 5627*o**2/2 - 39057425*o/4 - 10774581875 = 0. Calculate o. -5804, -2725 Determine n so that -13292*n**2 + 744393*n/2 - 574 = 0. 41/26584, 28 Determine m, given that 2*m**5/13 - 554*m**4/13 + 3240*m**3 - 647360*m**2/13 - 776512*m/13 + 1382304/13 = 0. -2, 1, 22, 102, 154 Determine q, given that -q**4/4 + 12947487*q**3/4 - 13969788204801*q**2 + 20097095635673618452*q - 60291161179014407664 = 0. 3, 4315828 Factor 15*l**3 - 1085*l**2/2 - 2985*l + 1025/2. 5*(l - 41)*(l + 5)*(6*l - 1)/2 Factor 3*x**2 + 48537*x + 110789250. 3*(x + 2750)*(x + 13429) Let -m**5/4 + 231*m**4/2 - 3510*m**3 - 25245*m**2/2 + 126441*m/4 + 104247 = 0. What is m? -3, 3, 36, 429 Let 16*g**4/5 + 248072*g**3/5 + 256398948*g**2 + 2207808442678*g/5 - 2209090685506/5 = 0. What is g? -10337/2, 1 Suppose -y**4 + 626*y**3 + 109076*y**2 + 4238424*y = 0. Calculate y. -74, 0, 774 Let 4*x**2/5 - 2212668*x = 0. What is x? 0, 2765835 Factor 2*n**4 + 17354*n**3 + 54658890*n**2 + 74750432926*n + 37669282623388. 2*(n + 1781)**3*(n + 3334) Suppose -3*m**2/7 + 61131804*m/7 - 311424788357868/7 = 0. What is m? 10188634 Suppose -4*y**5 + 2110216*y**4 - 371080780152*y**3 + 21750652517506784*y**2 + 108760313259521692*y + 130515047769011448 = 0. Calculate y. -3, -2, 175853 Factor 11226*m**2 - 684788*m + 122. 2*(m - 61)*(5613*m - 1) Factor -3*h**2/2 - 24059421*h/2 + 12029712. -3*(h - 1)*(h + 8019808)/2 Factor g**3 + 476248*g**2 + 6667325*g + 23335466. (g + 7)**2*(g + 476234) Determine n, given that -2*n**2/3 + 123238*n/3 + 3249428 = 0. -79, 61698 Let -2*r**2/15 + 4622*r + 763356/5 = 0. Calculate r. -33, 34698 Factor -13*z**2/6 - 40984*z + 245930/3. -(z - 2)*(13*z + 245930)/6 Factor q**2/4 + 1191130*q - 2382261. (q - 2)*(q + 4764522)/4 Suppose -2*h**3/7 - 5366*h**2/7 + 201436*h/7 + 424320/7 = 0. Calculate h. -2720, -2, 39 Factor -25*s**3/2 - 112238599*s**2/2 - 62987514405028*s + 2519500665992. -(s + 2244772)**2*(25*s - 1)/2 Suppose x**5/4 + 20973*x**4 - 7015569*x**3/2 + 141119465*x**2 + 1821978825*x/4 = 0. What is x? -84059, -3, 0, 85 Let -2*f**2/17 + 33152604*f/17 + 66305216/17 = 0. What is f? -2, 16576304 Factor -k**2 - 635671*k + 635672. -(k - 1)*(k + 635672) Solve -4*j**2/7 + 215524*j + 3017352/7 = 0 for j. -2, 377169 Factor -3*v**2 + 47265*v + 425628. -3*(v - 15764)*(v + 9) Let 5*l**4/4 - 135047*l**3/4 + 1673947*l**2/4 - 3590209*l/4 - 2645706 = 0. Calculate l. -8/5, 7, 26997 Solve 2*k**3 - 862102*k**2 - 10345440*k - 31036536 = 0. -6, 431063 Factor -2*y**2/17 + 35142340*y/17 - 154373007584450/17. -2*(y - 8785585)**2/17 Suppose d**5 - 31*d**4 - 3929*d**3 + 58043*d**2 + 4201888*d + 4139948 = 0. What is d? -38, -1, 47, 61 What is h in 41*h**3 - 348*h**2 - 40383*h + 81830 = 0? -1169/41, 2, 35 Factor -x**2 - 202008910*x - 10201899929847025. -(x + 101004455)**2 Factor 3*t**2 + 7380*t + 1768137. 3*(t + 269)*(t + 2191) Factor f**3 + 222538487*f**2 + 12380844660331535*f + 12380844437793049. (f + 1)*(f + 111269243)**2 Suppose -5*r**3 - 14575005*r**2 - 10621531249995*r + 10621545825005 = 0. What is r? -1457501, 1 Find r, given that -3*r**4/8 + 51753*r**3/2 - 5794215*r**2/8 + 7966803*r/4 - 1293300 = 0. 1, 2, 25, 68976 Determine l, given that l**5/5 - 1743844*l**4/5 + 760225303809*l**3/5 + 19766681000874*l**2/5 + 31018866502284*l + 76635280937880 = 0. -14, -6, 871935 Let 5*f**3 - 4834120*f**2 + 19336415*f - 14502300 = 0. What is f? 1, 3, 966820 Determine t so that t**5/6 + 1643*t**4/2 - 14813*t**3/2 + 14903*t**2/6 + 73233*t - 69132 = 0. -4938, -3, 1, 4, 7 Let z**4/3 + 11981*z**3/3 + 191455*z**2/3 + 59825*z = 0. Calculate z. -11965, -15, -1, 0 Find d such that 3*d**2 + 18272430*d + 27823474842075 = 0. -3045405 Find d, given that 9031*d**3/4 + 878657*d**2/2 + 257101*d + 9894 = 0. -194, -6/11, -34/821 Let 5*d**5 + 315*d**4 + 5310*d**3 - 27880*d**2 - 1447680*d - 9676800 = 0. What is d? -28, -18, -16, 15 Solve -8*g**2 + 8065516*g + 12098292 = 0 for g. -3/2, 1008191 Suppose -3*m**3 + 233688*m**2 + 7480347*m + 57744648 = 0. What is m? -19, -13, 77928 Suppose -3*s**4/5 - 26982*s**3/5 + 4730709*s**2/5 + 9650232*s/5 - 14353956/5 = 0. Calculate s. -9166, -3, 1, 174 What is p in 547*p**3/3 + 96818*p**2/9 - 59*p/9 = 0? -59, 0, 1/1641 Determine x, given that -x**5 + 2787*x**4 - 2773*x**3 - 36243*x**2 + 69662*x - 33432 = 0. -4, 1, 3, 2786 Find x such that -x**4/3 + 19*x**3/3 + 1054*x**2/3 - 18496*x/3 = 0. -32, 0, 17, 34 Suppose 3863*t**4/2 + 1259337*t**3/2 + 2506761*t**2/2 + 1250963*t/2 - 162 = 0. Calculate t. -324, -1, 1/3863 Solve -14*m**4 - 993*m**3/8 + 24775*m**2/8 - 825*m/2 = 0 for m. -20, 0, 15/112, 11 Factor -5*h**2 - 12030*h + 18892935. -5*(h - 1083)*(h + 3489) Find w such that w**5/8 + 409*w**4/8 + 24279*w**3/8 + 281155*w**2/8 + 229075*w/2 = 0. -340, -55, -7, 0 Suppose 2*d**2/7 - 1354664*d/7 + 6385962 = 0. Calculate d. 33, 677299 Let s**5/2 - 199*s**4 + 17618*s**3 - 132292*s**2 + 324080*s - 256768 = 0. What is s? 2, 4, 118, 272 Solve 2*f**2/19 + 12403620*f/19 + 19231223638050/19 = 0. -3100905 Solve 2*o**4 + 100028*o**3 + 200050*o**2 + 100024*o = 0 for o. -50012, -1, 0 Determine v, given that 3*v**2/2 + 296727*v/2 - 1187004 = 0. -98917, 8 Factor 143905*i**2/6 + 431713*i/6 - 1. (i + 3)*(143905*i - 2)/6 Determine g so that -3*g**4/2 - 57*g**3 + 98679*g**2/2 + 148395*g + 99000 = 0. -200, -2, -1, 165 Solve 2*i**2/9 - 44*i/3 + 2176/9 = 0 for i. 32, 34 Solve -166*f**3/9 + 30076*f**2/9 - 11770*f/3 + 600 = 0. 15/83, 1, 180 Let 2*t**2/5 + 38066*t/5 + 608544/5 = 0. What is t? -19017, -16 Factor 3*k**3 - 8203929*k**2 + 16407849*k - 8203923. 3*(k - 2734641)*(k - 1)**2 Factor -s**3 + 2135107*s**2 - 1139673678016*s + 3419001818112. -(s - 1067552)**2*(s - 3) Factor g**4/4 + 12297*g**3 + 98373*g**2/4 + 24593*g/2. g*(g + 1)**2*(g + 49186)/4 Solve -n**5/5 - 5442*n**4/5 - 27177*n**3/5 + 43544*n**2/5 + 260976*n/5 = 0. -5437, -4, 0, 3 Factor -h**2 - 176307*h + 599559
{ "pile_set_name": "DM Mathematics" }
*h + i*h**2 + g and give i. -359 Rearrange 243*n + 245*n - 485*n - 5*n**4 + 1 + n**4 to the form u*n**2 + d*n**4 + i*n**3 + h*n + l and give d. -4 Rearrange (4 - 2*m**2 - 4 + (m**2 + 2*m - 2*m)*(-5 + 0 + 2))*(2076*m - 11010*m - 823*m - 5669*m) to t*m + a*m**3 + c*m**2 + s and give s. 0 Rearrange -w - 635*w**3 + 633*w**3 + 3 + 26*w**2 + 2*w + 2*w to c*w + p*w**3 + q + n*w**2 and give n. 26 Express -7008*t + 902*t - 1778*t - 2796*t as j + o*t and give o. -10680 Rearrange -64 + 210 - 164 + 322*v to n + f*v and give n. -18 Rearrange (0 + 0 + 2)*(7344556 - 7344556 - 7916*o) to the form j + q*o and give q. -15832 Express (-30 + 23 - 28)*(m**3 - 3*m**3 + 4*m**3) + 10 + 14*m**3 - 10 in the form i*m**2 + o + a*m**3 + x*m and give a. -56 Rearrange 64 + 1249 + 2352 - 470 + 2*s**2 to the form w*s**2 + x + m*s and give x. 3195 Rearrange (-2 + 2*f + 2)*(-3 + 0 + 2) + 3*f + 0*f - 5*f + (-f + 5*f - 2*f + (f + f - f)*(-1 + 2 + 10))*(1 - 10 - 7)*(-2 + 0 + 1) to a*f + w and give a. 204 Rearrange 369*u**2 - 164*u - 160*u + 331*u + 17*u**2 + (3 - 3 - 2*u)*(-u - 3 + 3) to s*u + d*u**2 + n and give d. 388 Express (1324*w - 14*w**3 - 2613*w + 1297*w)*(w + w - 3*w) in the form t*w**3 + l*w + n*w**2 + b + m*w**4 and give m. 14 Express 37*m**3 - 6*m**2 - 98*m**3 + 30*m**3 + m**4 + 41 + 4*m**2 + 34*m**3 as q*m + y*m**3 + t*m**4 + h*m**2 + b and give t. 1 Express (1 - 1 - 1 + (-2 + 3 - 2)*(3 + 0 - 1) - 14 + 6 - 65)*(0*p + 0*p + 2*p)*(-p**2 - 10*p**2 + 2*p**2) as u*p**3 + n*p + g + r*p**2 and give r. 0 Rearrange (-18 - 12 + 0)*(-3*j + 0*j + 2*j)*(4 - 1 - 2)*(-69879 - 506*j**2 + 69879) to the form b*j**3 + t + f*j**2 + g*j and give b. -15180 Express 2327 - 1077 + f**2 - 1246 + f - 5*f**3 as z*f**2 + g + w*f**3 + v*f and give g. 4 Express -4 - 3 + v**2 + 3 + 2*v**2 + 0*v**2 - v**2 - 3*v**2 - 8 + 8 + (-2*v + 0*v + v)*(v - v - v) - 10*v**2 + 3*v**2 - v**2 as t*v + u + b*v**2 and give u. -4 Express -3 + 86*v + 46*v**4 - 7*v**2 - 14 - 85*v + 18 in the form z + d*v + a*v**3 + p*v**2 + q*v**4 and give z. 1 Rearrange 6*l**2 - 4*l**2 + 2969 - 2*l + 2*l**3 - 944 + 242 to w*l + o + f*l**2 + h*l**3 and give o. 2267 Rearrange -45*p + 382*p**2 + 47*p + 895*p**2 to q + g*p + n*p**2 and give g. 2 Rearrange (746 - 1890 + 857)*(2*n**4 - 17*n**4 - 18*n**4) to o*n + c*n**2 + w*n**3 + x + r*n**4 and give r. 9471 Rearrange 387*p + 28*p**2 + 21 - 195*p - 3 - 181*p to m + n*p + c*p**2 and give m. 18 Express (1 - 1 + 2)*((-2*d - 3 + 3)*(0 - 4 + 2) + (106 - 20 + 1)*(-2*d - 6 + 6)*(-2 + 2 + 3))*(-3 + 0 + 10)*(0*d + 4*d - 2*d) as x + q*d + i*d**2 and give i. -14504 Rearrange -56*v**4 - 1127*v**2 + 1129*v**2 + 0*v**3 + 2*v**3 + v to c*v + r*v**2 + o + d*v**3 + a*v**4 and give c. 1 Rearrange (1 - 1 - b)*(-10 + 17*b - 7*b - 9*b) + 3993*b + 270*b**2 - 3993*b to the form o + d*b + y*b**2 and give o. 0 Express (w - 13*w + 17*w)*(-10*w - 13 + 12*w - 3*w)*(8 - 9 - 11) as h*w**2 + z + x*w and give x. 780 Rearrange 1 - a**2 - 566*a + 7*a**2 - 2*a**4 - 2424713*a**3 - 2*a**2 + 2424714*a**3 to the form t*a + p + k*a**4 + s*a**3 + m*a**2 and give k. -2 Rearrange (16 - 5 - 45)*(p**3 - 76 - 2362*p + 2362*p) + 4*p**3 - 4*p**3 + p**3 to the form v*p**2 + d*p + t*p**3 + w and give t. -33 Express (-164*x + 384*x - 98*x)*(-4*x + 2*x + 3*x)*(5 + 4 + 3) as o*x + w + r*x**2 and give r. 1464 Rearrange (-3*y - 13*y - 1 - y)*(-584*y - 462*y - 514*y - 252*y + 149*y) to the form x*y + w*y**2 + u and give x. 1663 Express (-c + 10*c + 2*c)*(-3 + 3 + 1) + 8*c + c + 0*c + 0*c - 6*c + 2*c + (-c - 2*c + 2*c)*(-6 + 3 + 4) + 2 - 2*c - 2 in the form w*c + g and give g. 0 Express -694 + 345 + 18*u**2 + 21*u + 349 as z + h*u**2 + t*u and give t. 21 Express 2 + 53*j**3 - 54*j**3 + 10*j**3 + 79 in the form o + z*j + f*j**2 + v*j**3 and give v. 9 Express -293*l + 872*l - 288*l - 290*l - 5690 in the form o + v*l and give v. 1 Express -895*r**2 - 7596*r**2 - 1368*r**2 - 12375*r**2 + 1403*r**2 as b*r + o*r**2 + t and give o. -20831 Rearrange 10338*z**2 + 1962*z - 1962*z to k*z**2 + l*z + r and give k. 10338 Rearrange -1529152 + 1529152 + 12952*d to the form z + k*d and give k. 12952 Rearrange (-126297 + 126297 + 5861*v**3)*(v - 3*v - v) to t*v**4 + s*v + z + l*v**3 + i*v**2 and give t. -17583 Express 16316 - 21*k + 16331 - 32675 in the form x + f*k and give x. -28 Express (t**2 + t**2 - 4*t**2)*(0 + 2 + 0 - 447 - 75 - 18 + (5 - 5 + 2)*(4 - 3 - 3)) in the form v*t + s*t**2 + r and give s. 1084 Rearrange a + 2*a**4 + 167 + 7*a**3 - 2*a**3 - a**3 + 2*a**2 - 3*a**3 to w*a**4 + u + j*a**2 + l*a + d*a**3 and give d. 1 Rearrange -95 + 385*d + 3*d**2 + 1352*d + 85 + 11 to y*d + o*d**2 + p and give o. 3 Express (-575*k**2 - 192*k**2 + 664*k - 664*k)*(k - 4*k + 2*k)*(2 - 2 - 2*k)*(3 - 5 + 5) in the form y + b*k**2 + g*k**3 + p*k + r*k**4 and give r. -4602 Rearrange -754 + 1048*s + 199*s + 754 to the form k*s + t and give k. 1247 Express 40*a + 501*a - 150*a + 310*a - 3 + 6 + 2*a**2 in the form y*a**2 + b + m*a and give y. 2 Express -2*b + 0*b - 9*b + (2 + b - 2)*(1768 - 516 + 1588) as l + q*b and give q. 2829 Express (-1 + s + 1)*(-20*s - 7*s - 10*s)*(74*s - 112*s + 57*s) in the form h*s**3 + f*s**2 + o + a*s and give h. -703 Express -202*p - 5*p**2 + 4*p**2 - 1 + 112*p + 2*p**3 + 122*p as k*p**3 + b + s*p**2 + o*p and give o. 32 Rearrange 156*g**2 - 4*g - 22*g + 5*g - g - 873*g**2 to d*g + i + p*g**2 and give d. -22 Express i**4 + 11*i**3 - 1353 + 2705 - i**2 + 0*i + 0*i - 1356 in the form b*i**2 + t*i + p + c*i**3 + s*i**4 and give s. 1 Express (599*f + 1084*f - 61*f)*(-f + 4*f + 0*f) in the form c + t*f**2 + a*f and give t. 4866 Express (2 - 1 - 4)*(2*v + 2 - 2)*(16 - 16 + 7*v) - 129*v**2 - 109*v**2 + 276*v**2 as b*v**2 + j + c*v and give b. -4 Express 31 + 39*v**2 - 69 + 36 + 2*v as b*v**2 + y + p*v and give y. -2 Express 2649*s**2 - 5240*s**2 + 0*s + 0*s + 2795*s**2 - 1 in the form z*s + q + t*s**2 and give q. -1 Rearrange -3*b + 2*b**4 + 2*b**3 - b**4 + 8*b**2 - 6*b + 5 + 3*b - 8 to i*b**2 + m + u*b**3 + y*b + c*b**4 and give c. 1 Express (-22*b**2 + 321570*b + 321570*b - 643140*b - 224)*(3 + 1 - 6 + (-4 + 1 + 2)*(-6 + 4 + 1)) as g*b**2 + a*b + q and give g. 22 Express -155*c + 438 - 212 - 513*c - 256 in the form v*c + o and give v. -668 Express 189 - 62*p - 113*p - 92 - 97 in the form z*p + n and give z. -175 Express (19 - 16 + 25)*(-2*p - 3*p + 3*p)*(7 - 7 - 3*p) + 642*p**2 - 200*p + 200*p + 191*p**2 as w*p**2 + z*p + a and give w. 1001 Rearrange 205821*u + 191*u**2 + 111*u**2 - 205823*u to the form v*u**2 + i + a*u and give a. -2 Express -734 - 102*m + 734 + 90 + 105*m - 90 + (0 - 3 + 1)*(-m + 0*m + 2*m) - 2*m + 0*m + 0*m + 4*m - 2*m - 3*m as l*m + p and give l. -2 Express 39*g + 21*g - 90*g + 21*g**3 + 2*g**2 + 46*g + 1 as s*g**3 + x*g + q + d*g**2 and give x. 16 Express 8105*d - 4030*d - 4079*d + 2*d**2 - 514 in the form h*d + i + z*d**2 and give h. -4 Rearrange (21 - 21 - 8*g)*(-g - 3*g + g) - 2*g**2 + 0*g**2 + 7*g**2 - 13*g**2 + 132 - 132 to the form i*g**2 + u*g + d and give i. 16 Express -1 - v + 1 + (6 - 2 - 2 + (1 - 1 + 2)*(2 + 1 - 4) - 6 + 6 + 10 + 18 - 41 - 18 - 4 + 2 + 0)*(-2*v - 4*v + v) in the form g*v + b and give g. 164 Rearrange (-2 + 6 - 1)*(-3 - 1 + 3)*(2 - 6 + 1)*(611*m - 479*m + 33 - 29) + 0*m + 3*m - 4*m to g*m + u and give g. 1187 Express (-11*v - 30*v + 8*v)*(549 - 1149 + 542)*(-3 + 2 - 1) in the form i + j*v and give j. -3828 Rearrange -57 + 1 - 4183801*d**2 - 12*d**3 + 4183800*d**2 to f*d + l*d**2 + p*d**3 + o and give p. -12 Rearrange 36*i + 6 - 61*i**3 + 70*i**2 + 20*i**3 - 37*i + 40*i**3 to z*i + l*i**3 + m + d*i**2 and give d. 70 Express -3 - 809*n**2 + 1715*n**2 + 4 - 888*n**2 + 88*n as r*n**2 + l*n + k and give k. 1 Express -3629*z + 9*z - 3406*z + 1854*z - 4451*z as p + s*z and give s. -9623 Express (3*o**2 - 2*o**2 - 2*o**2 + (6*o + 1 - 1)*(14*o - 35*o - 91*o))*(0*o**2 - o**2 + 3*o**2) in the form g + m*o**3 + a*o**2 + r*o**4 + d*o and give r. -1346 Rearrange 1 - 27*h**3 + 20*h**2 + 14751606*h + 0 - 17*h**3 - 14751603*h to the form m*h**2 + n*h**3 + g + a*h and give g. 1 Rearrange (31*p**2 - 25*p**2 + 24*p**2)*(0 - 2 + 0) - 2*p**2 + 9*p**2 + 7*p**2 + (21 - 5 + 0)*(-p**2 + 0*p + 0*p) to the form m*p**2 + d*p + s and give d. 0 Rearrange (-3*y**2 + y**2 + 4*y**2)*(-1 - 2*y + 1)*(4 + 7 - 4) + (3*y - y + 0*y)*(-4*y
{ "pile_set_name": "DM Mathematics" }
s 20/(-35) + (-1210)/f*82 a composite number? True Let n be (132/(-24))/(1/(-2)). Suppose 2*y = -n*t + 6*t + 75, 0 = -5*t + 25. Is y composite? True Let g = 2976 - 1775. Let f be ((-4)/5)/(1/(-895)). Let d = g - f. Is d prime? False Suppose -5*p + 0*u - 14 = 3*u, 5*u = -5*p - 20. Let v(f) = -f. Let d(i) = -140*i + 10. Let r(z) = p*d(z) - 6*v(z). Is r(6) a prime number? False Let n(h) = 13*h**3 + 10*h**2 - 54*h + 52. Is n(9) a composite number? True Suppose -5540 = -5*r + x, 6*x - x + 2193 = 2*r. Is r a composite number? False Let l(i) be the third derivative of 89*i**5/60 - i**4/12 + i**3/2 - 2*i**2. Is l(2) a prime number? False Suppose 5*q - 715 = 6*v - v, 0 = -2*q + 5*v + 289. Suppose -110 = -3*f - 5*m, -5*f + q = 3*m - 5*m. Let w = f + -23. Is w a composite number? False Let g(o) be the first derivative of o**3 + 17*o**2/2 - 2*o + 6. Let s(q) be the first derivative of g(q). Is s(12) a composite number? False Suppose -9*h - 141883 = -16*h. Is h a prime number? True Suppose -16*d = -11*d - 15. Suppose d*j - 54 - 213 = 0. Is j prime? True Let x(n) = -2*n - 2. Suppose -3*m = 2*m + 30. Let i be (-102)/27 + m/27. Is x(i) a prime number? False Is (8 - -11769)/(-6 + 12 + -5) a prime number? True Let o(g) = 10*g - 8. Suppose 3*a = -a + 12. Let x(c) = -9*c + 7. Let b(s) = a*o(s) + 4*x(s). Is b(-5) a composite number? True Let q(x) = 903*x**2 - 24*x + 28. Is q(9) a composite number? True Let d(v) = -356*v**3 + v**2 - 1. Let c be d(-1). Suppose 14*z = 10*z + c. Is z a prime number? True Is 5725/(-10)*84/(-30) a composite number? True Let v be 8/(-6)*(-18)/12. Suppose 3*g = v*g + 19. Suppose 0 = -h + 108 - g. Is h prime? True Let k(u) = -u**2 - 6*u - 3. Let z(w) = -w - 2. Let s be z(3). Let r be k(s). Suppose -v = o - 252, 0 = r*o + 3*o - 2*v - 1253. Is o a prime number? True Let v = 1801 + -823. Let p = v - 601. Is p composite? True Let x(h) be the third derivative of -h**6/120 - h**5/20 + h**4/6 - 5*h**2. Let z be x(-4). Suppose 0*w - 5*w + 695 = z. Is w composite? False Let d be ((-1901)/2)/((-6)/72). Suppose -9*k + 3*k = -d. Is k prime? True Let o(i) = 22435*i - 526. Is o(9) a composite number? False Is 38816 - -9 - (0 - 8) a prime number? True Let q be (-12)/(-90) + 15716/30. Suppose -w - 3*g + 514 = -4*g, g = -w + q. Is w a prime number? False Let z be 1505/2 + (-16)/32. Suppose -z = -5*v + 53. Is v prime? False Suppose -3*x = -0*x + 21. Let o(q) = q**2 + 8*q + 7. Let h be o(x). Suppose h = -3*g + 110 + 19. Is g composite? False Let k = -12 - -9. Let f be 0 - (-3*25 + k). Suppose h - 41 = f. Is h composite? True Let t(l) = -2*l**3 - 27*l**2 + 71*l + 37. Is t(-29) a prime number? True Suppose -s + 24 = 1375. Let l = -654 - s. Is l prime? False Let n be (-12)/(-7) - 2/(-7). Let p be -1 - n - (1 + 8). Is (180 + -2)/(p/(-30)) composite? True Let b = 16 + -11. Suppose 2*o + 3 = -3, -b*x + 2143 = -o. Let q = -217 + x. Is q a composite number? False Suppose -9 = -3*o + 27. Suppose 4*c + 4 = o. Suppose -2*d - c*d = -260. Is d a composite number? True Let j(w) = -3*w**2 - 3*w - 2. Let o be j(-2). Let v = o + 171. Is v a composite number? False Let q = -28 - -29. Suppose 0 = y - q - 1. Suppose y*i = -5*p + 177, 0 = 2*i + 2*p - 47 - 133. Is i a composite number? True Let h = 18004 + -10365. Is h a prime number? True Suppose v + 4*c + c - 5809 = 0, 4*v = -3*c + 23287. Let h = -3315 + v. Is h composite? True Let p = 3774 + 29. Is p prime? True Let y(u) = -u + 7. Let g be y(-6). Let m = -10 + g. Suppose 258 = 4*i + p + 4*p, -m*p = -5*i + 341. Is i prime? True Let h(v) = v**3 - 6*v**2 + 8*v + 2. Let x be h(4). Suppose 4*w - 2*s - 836 = 0, 2*w = x*s - 5*s + 434. Is w a composite number? False Suppose 3*y + 8 = 7*y. Suppose -y*l = 3*l + 20. Is 59*(l - (-10)/2) a prime number? True Suppose -15 = -3*y, 5*h - 3*y = y - 5. Suppose 0 = h*p - 366 + 27. Is p a prime number? True Suppose -3*j + 9 = 0, 57*j - 58*j = l - 37480. Is l composite? True Let f be (-28 + 25)*((-1)/(-3) - 2). Suppose 12 + 4 = 4*i, -5*n - f*i + 6825 = 0. Is n prime? True Let h = -93 - -89. Is (6/h)/((-3)/502) a composite number? False Let r(h) = 29*h**2 - h - 21. Is r(-5) a composite number? False Let j be 8337*(0 - 10/(-6)). Suppose -x = 6*x - j. Is x prime? False Let w(z) = 3*z**2 - z + 791. Let x(f) = -6*f**2 + 2*f - 1583. Let o = -24 - -33. Let l(g) = o*w(g) + 4*x(g). Is l(0) a prime number? True Let r(b) = -55*b + 17. Suppose -6*l = -l + 60. Is r(l) composite? False Suppose -4*n + 5*l + 33 = -0*l, 0 = -3*n - 3*l - 9. Suppose o + n*o = 15. Let y(s) = 13*s**2 + 6. Is y(o) a prime number? True Suppose 2*o = 3*o - 667. Is o composite? True Let i = 20 + -19. Suppose 2*l - 5*l = -18. Is -226*((-9)/l + i) a prime number? True Let r = -44 + 47. Suppose a - 5*w - 861 = -w, a - 859 = r*w. Is a a composite number? False Let w be 1*-2*(-8)/(-4). Let r be -1 + (-6)/(8/w). Suppose 0 = 5*f + 4*n - 330, r*f + n + 305 = 7*f. Is f a composite number? True Suppose -5*o + 1118 = -1097. Let i(f) = -f - 12. Let x be i(-14). Suppose -x*r - 87 = -o. Is r composite? True Let b(p) = 33*p**3 + 3*p**2 - 22*p + 45. Is b(5) composite? True Suppose -i = -10*i + 27. Let j(m) = -9*m**3 - m**2 + 4*m. Let u be j(3). Is u/(-7 + i) + 2 a composite number? True Let u be 1/(-1 - 1 - (-1846)/922). Suppose 0 = -3*b - 4*q + 5, -4 = 4*b + 4*q - 12. Suppose b*k - 4*x - 481 = 0, -5*k + 2*k = x - u. Is k a prime number? False Suppose 0*v - v = -1, -2*n = -3*v - 57799. Is n a prime number? True Let f = 15 + -14. Let b(r) = -3 + 2 + 12*r - f + 4. Is b(2) a composite number? True Let j = -22 - -24. Suppose 2*o = j*m - 848, -m - 2*o - 3*o + 412 = 0. Is m composite? True Suppose 0 = 19*z - 937908 + 168959. Is z composite? False Let f(h) = -h**2 - 7*h. Let y be f(3). Is 1924/6 + y/18 a composite number? True Let p = 2 + -2. Suppose -10*i + 8*i + 130 = p. Suppose -d + i + 120 = 0. Is d composite? True Suppose -6*t - 344 = -10*t. Is t a composite number? True Let c(l) = l**3 + 27*l**2 + 12*l - 9. Let r be c(-24). Let k = r - 734. Is k a prime number? False Let r(t) be the second derivative of t**5/20 - 7*t**4/12 + t**3/3 + t**2/2 - 4*t. Is r(10) a prime number? False Let r be 42/7*(-1)/(-6). Let f(v) = r + 6*v - 1 + 2 + 3*v. Is f(9) a prime number? True Suppose 4*g + 14 = 2*g. Let d be (-3 - g) + -5 - 17309. Is (-1)/(3/d*2) a prime number? False Let i(u) = -2*u - 1. Let v be i(-3). Let n = 326 + -196. Suppose 0 = -v*q + n - 25. Is q prime? False Suppose -5*k + 8*k - 21 = 0. Let t be k/7 + (0 - -2). Suppose o = 4*w - 869, w - t*o = -4*w + 1088. Is w composite? True Is (-66)/11 - -3 - -2582 a prime number? True Let w be 36/10*20/8. Suppose -w = 2*b + 5*x, -3*b - 5*x - 1 = 5. Suppose -3*g - 222 = -5*u + b*u, -4*u + 444 = -2*g. Is u composite? True Let q(b) be the third derivative of b**5/60 + b**4/24 - 3*b**3/2 + 15*b**2. Is q(-4) a prime number? True Let o be 1080/(-14) - (-1)/7. Is 14/o + (-3986)/(-22) a composite number? False Let o = 862 - -1077. Is o a composite number? True Suppose 2*r + 7324 = -5*f + 7*f, -5*r + 10978 = 3*f. Is f a prime number? False Suppose -4*x + 6 - 6 = 0. Suppose -5*f = -11 + 1. Suppose d + 2 = -2*m - f, x = d + 4*m + 14. Is d a prime number? False Let d(h) = 2*h**2 - 20*h - 41. Let x be d(18). Let c = x + -125. Is c composite? True Let g = -258101 + 368520. Is g prime? True Let a(y) = 2*y**2 - 13*y - 22. Let b be a(10). Let o = 285 - b. Is o a composite number? True Let m(v) = v + 40. Let s be m(-16). Let g(c) = c**3 - 8*c**2 + 7*c - 11. Let q be g(10). Let y = q - s. Is y a composite number? True Let o = -1 - -1. Let v be o - -3 - 5610/(-3). Suppose -4*w - 2368 = -4*a, 3*w + v - 684 = 2*a. Is a composite? False Suppose -c = -3*z + 543, 0 = -2*z + 2*c - 5*c + 373. Suppose 5*w - 220 = 5*l, -l - 22 = -5*w + z. Is 6*(w/6 + -1) a composite number? True Is (-17564)/(-10)*(-395)/(-158) a composite number? False Let v(g) = -24*g**2 + 15*g + 3. Let o(h) = 12*h**2 - 8*h - 1. Let p(t) = -7*o(t) - 4*v(t). Let x be (2/(-3))/((-4)/(-72)*2). Is p(x) a prime number? False Let v be 19290/22 - 8/(-44)*1. Suppose -n - 672 = -3*d, 4*d = -2*n - 3*n + v. Is d a prime number? True Let a(d) = -d**3 + 5*d**2 + 5*d + 8. Let t be a(6). Suppose t*b = -2*w + 3132, 10*b - 3*w = 5*b + 7790. Is b composite? True Let r be (-23)/(-92) + 14/8. Sup
{ "pile_set_name": "DM Mathematics" }
- 6*p - 10488. Let v = s - p. Which is the third smallest value? (a) 2/3 (b) -3 (c) v a Let v = 86312/27 - 3196. Let b = -194/189 + v. Let m = 0.2 + -0.7. What is the second smallest value in b, m, -1/4? b Let s = -466238/8547881857635 + -3/27784030. Let z = -1723685603/55377810 + s. Let b = 156/5 + z. What is the third biggest value in 5, b, -0.2? -0.2 Let f = 34.77 + -30.77. Which is the fifth smallest value? (a) f (b) 32 (c) 2/11 (d) -4 (e) 7 b Let l = -183.148 - -183. Let y = l + 0.148. What is the third smallest value in -5, y, -4, 15? y Let g = 0.3 - 0.5. Let z = -1.2 - g. Let h = -47825 + 47836. Which is the third smallest value? (a) -3 (b) z (c) h c Let n = 1.96 - 3.96. Let t(o) = -o**2 + 6*o - 7. Let c be t(3). Suppose 3 = f - c*f. What is the third smallest value in f, n, -5, -0.5? n Let t(w) = 239*w - 712. Let j be t(3). Let v = 36.06 - 0.06. Which is the biggest value? (a) 0 (b) v (c) j (d) 1/2 b Let r be (-4)/(12/(-285)) + 5 + 0. Let p = 101 - r. Which is the fourth biggest value? (a) 2/13 (b) 2/3 (c) -0.05 (d) p c Let p = 6313 + -6317. Which is the third biggest value? (a) 3 (b) p (c) 0 (d) -2 (e) -32 d Let q = 1025228/3588249 + -2/512607. Let p = -83 - -579/7. Which is the second biggest value? (a) p (b) 10 (c) q c Let n = -0.042 - -0.342. Let l = 0.1 - n. What is the third biggest value in -3.8, l, 0? -3.8 Let q = -2272 - -2276. Which is the second biggest value? (a) q (b) 1 (c) 250 a Let f = -442.32 - -442.2. Which is the third biggest value? (a) 21 (b) -4/7 (c) f b Let u = 31.5 - -277.3. Let k = -309 + u. Let z be (9/(-15))/(1/(-5)). What is the second smallest value in z, k, -2? k Let i = -8 - 3. Let j = 21 - 17. Suppose 8*y = -16*y - 3*y. Which is the biggest value? (a) i (b) j (c) y b Let o = 0.50429 + -0.10429. Which is the fourth biggest value? (a) 3 (b) 2 (c) 0.45 (d) o d Let l = -201.51 - -203.51. What is the third biggest value in l, -3, -4, -0.055? -3 Let f be (-75)/50*(-60)/(-18). Let i = 1502/407 - 2/37. Which is the smallest value? (a) 5 (b) f (c) i b Let l = 221 + -108. Let v = l - 113.5. What is the fourth biggest value in v, 4, 1/2, 1? v Let s = 308 + -347. Let h be (-10)/24 - (10 + s/4). Let f = 7 + -6.7. Which is the third biggest value? (a) h (b) -4 (c) 3 (d) f a Let y = -4668 + 4674. Which is the third biggest value? (a) 0.1 (b) 1/29 (c) y (d) -2 b Let p = -6 + 10. Let i = -0.233 + -116.767. Let k = 116.8 + i. Which is the third biggest value? (a) k (b) -5 (c) -3 (d) p c Let v = 1809.5 + -1809. What is the biggest value in 40, 1/3, v, 0.11? 40 Suppose -20 = 4*t + s, 7*s - 3*s + 16 = 0. Which is the second biggest value? (a) 0.23 (b) -1/3 (c) t b Let c = -78797 - -78793. Let m = 0.8 + 0.2. What is the fourth biggest value in 2, m, c, -1.7? c Let j = 64.792 - 0.892. Let w = j + -64. What is the third smallest value in -2, -4, -3/4, w? -3/4 Let t = 1.5 - -65.5. Let i = 105 - t. Let q = i + -34. Which is the third biggest value? (a) 0.5 (b) 1 (c) q a Let k = -109384 - -109386. Let u = -12 - 0. What is the smallest value in 10, k, u? u Let i(g) = 2*g**2 + 16*g + 5. Let p be i(-7). Let a be ((-58)/(-87))/((-1)/p). What is the fourth smallest value in -1/3, 1/9, a, 2? a Let k = 26 + -38. Let m be 3 + -2 + (-14)/8 - 600/(-672). What is the fourth smallest value in -4, -5, m, k? m Let o = -8.6 + 8. Let k = o - -0.6. Let w(n) = -6*n + 81. Let v be w(12). What is the second smallest value in v, k, 4/3? 4/3 Let s(v) = v**3 - 35*v**2 + 42*v - 63. Let q be s(29). Let d be (-4)/(-3) - 4/((-144)/q). Let r = 107 + d. What is the biggest value in -0.02, 1/6, r, -1? r Let j be 3/6 + (-35975)/90. Let v = j + 399. What is the third smallest value in -30, v, 0? 0 Let z be (-6)/16*4 + 1505/(-430). Let j = -1.33 - -1.221. What is the second smallest value in z, j, -3/8? -3/8 Let m be (204/33 - 3) + -3. Let y = -2833.3 - -2832.9. What is the biggest value in m, y, -2, 0.15? m Let y be (-3)/12 - (-13)/(-12). Let x = -0.04 - -208.04. Let z = 211 - x. Which is the second biggest value? (a) y (b) -1/7 (c) -4 (d) z b Let o = -17558 - -17557.9. Let r be (-2)/2 + 12/16. What is the third smallest value in 9, r, o? 9 Let n = 26089 + -26088.7. Let p = -3 - -8. Suppose -i + p = -2*i. What is the second smallest value in i, 2, -0.1, n? -0.1 Let c = -5.1951 - -0.1951. What is the third biggest value in -1, -3.5, -2/7, c, 18? -1 Let p be ((-99)/1386)/(((-10)/(-4))/(-1) - -2). What is the third smallest value in p, -0.4, 0.041? p Let f be 379/(-1516) - ((-49)/(-12) - 2/(-3)). What is the third smallest value in 3, -455, 0, f? 0 Let m = 211335/1156 - 19/289. Let s = -183 + m. Which is the fourth smallest value? (a) 0 (b) s (c) -1/3 (d) -0.1 a Let k = -0.05417 - 0.06583. What is the smallest value in 1/8, -2, k, 16? -2 Let v = 2864 + -2864.5. Let f = 0.149 + -6.049. What is the fourth biggest value in v, -4, f, 0.1? f Suppose -2*w + 28*s + 458 = 31*s, 872 = 4*w - 5*s. Let p = -209 + w. Which is the third smallest value? (a) p (b) -0.4 (c) 1/6 (d) 2/19 c Let w = -6 + 13/2. Let y = 1324 - 567. Let u = y - 757.13. Which is the biggest value? (a) -0.5 (b) w (c) u b Let r = -643/5 - -128. Let p be -4 + (4/(-14) - (-238)/49). Let v = 3.06 + -0.06. What is the fourth smallest value in p, r, v, -1/3? v Let a be ((-48)/(-15))/(-4)*(425/(-210))/17. What is the third smallest value in a, -1, 3? 3 Suppose -394*v - 816 = -402*v. What is the fourth smallest value in v, -5/4, 4, 0.7? v Let j = 5.6 + -6. Let d = 15933/65 - 1156/13. Let h = d - 157. What is the third biggest value in -6, h, 1/5, j? h Let t(d) = 18*d - 15. Let j be t(1). Let w(r) = -r**2 + r + 3. Let n be w(j). Let p = -0.28 + -0.02. Which is the second biggest value? (a) p (b) n (c) 0.17 a Suppose 2*i = -32631*b + 32632*b + 10, -20 = 5*b - 5*i. Let x be (-28)/(-15) - (-6)/(-9). What is the biggest value in -0.4, x, 0.2, b? b Let i = 120 - 120.322. Let d = 0.32 + i. Let g = -2.002 - d. What is the fourth smallest value in g, 2, -3, 6/7? 2 Let q(t) = -13*t + 21. Let g be q(2). Let o be 15/60*(3 - 1). Which is the third smallest value? (a) -4 (b) g (c) o c Let q = 0.809 - 1.809. Which is the third smallest value? (a) 0 (b) 278 (c) q b Let q = 0.1539 + 661.8461. Let z = q - 662.05. Which is the second biggest value? (a) z (b) -2 (c) -10 b Let p = 10412.82 - 10512. Let s = p - -0.18. Let m = s + 102. What is the third biggest value in -0.3, 1/8, m? -0.3 Let o = 0 - -2. Let f be 80/6 + (-6 + 77 - 84). Which is the second biggest value? (a) 1 (b) -5 (c) o (d) f a Let o be 1*(24/(-32)*6 - -4). Which is the third smallest value? (a) 3 (b) -35 (c) o (d) -5 (e) -3 e Let y = 27.192 - 27.2. Let h = y + 5.008. Which is the fourth smallest value? (a) -8/7 (b) -3 (c) 1 (d) h d Let i = -56.91 + 52.91. Let j = -2 + 0. Which is the third smallest value? (a) j (b) i (c) 2 c Let x = 3.1 - 3. Let g = 0.9679 - 1.0079. Which is the fourth biggest value? (a) -2/9 (b) 3 (c) g (d) x a Suppose r - f - 1 = 0, -2*r + 5*f = -6*r - 32. Let u = 7/327 - -313/654. Which is the biggest value? (a) 2/23 (b) r (c) u (d) 0 c Let s = -10 + 6. Let k = 1.5419 + -0.5419. Which is the fourth biggest value? (a) 0.4 (b) k (c) -0.3 (d) s d Let z = 0.1 + -0.1. Let w = z + 0. Let j = -1375/679 + 141/97. Which is the third biggest value? (a) w (b) -1 (c) j b Let i(p) = 41*p + 37. Let r be i(-2). Let l be 23/63 + 10/r. Which is the biggest value? (a) -3 (b) l (c) -1 (d) 1 d Let p = 792.4 - 792.5. What is the biggest value in p, -3, 0.3, 0, -4.2? 0.3 Let s = -57.8 - -81. Let g = s + -19.2. What is the second smallest value in -18, g, 2? 2 Let j = 3.07 - 4. Let m = j - 5.07. Let x = 6.06 + m. What is the third smallest value in x, 0.1, 0.4? 0.4 Let m = 0.28652 - 0.15652. Which is the second biggest value? (a) m (b) -20 (c) -1/5 c Let x = -6 + 5. Suppose -5*y - 3*p + 131 = 125, 26 = -4*y + 2*p. Which is the biggest value? (a) y (b) -4 (c) x c Let y = -15014 + 75073/5. Which is the second smallest value? (a) -2/37 (b) -75 (c) y a Suppose -16*i = -3*p - 11*i + 32, 0 = -3*p + i + 16. Which is the fifth biggest value? (a) p (b) 3 (c) 200 (d) -0.4 (e) 0.5 d Let y = -42 + 28. Let o be ((-4)/y)/((-12)/3). Let x = o -
{ "pile_set_name": "DM Mathematics" }
o for y. -4 Solve 0 = 4*l - 4*o - 12, -25458 = -2*l - 4*o - 25470 for l. 0 Solve -w - 3 = 7*y - 4*y, 0 = 7*y + w + 19 for y. -4 Solve 4*k - 10 = -2*o + 14, -4*o - 23*k = -27*k for o. 4 Solve 0 = -13*o + 6*a + 21, 3*o - 199*a - 6 = -198*a for o. 3 Solve -5*s - 12 + 16 = 3*i + 16, -4*s + 12 = -3*i for i. -4 Solve -20*x + 5*g - 20 = -19*x, x = -3*g + 12 for x. 0 Solve -10 = q + 5*u, 184*q - 183*q - 5*u - 10 = 0 for q. 0 Solve -5*p - 33*w + 29*w - 29 = 0, 0 = w + 1 for p. -5 Solve 825*r = -3*i + 820*r + 50, -2*i = 6*r - 52 for i. 5 Solve j = 5*l + 5122 - 5131, -3*j + 5*l - 17 = 0 for j. -4 Solve 3*h + 19 = -2*c - 34, 0 = -102*c - 3*h - 0*h - 453 for c. -4 Solve -3*x + 4*d = -78, -3012 = 282*x + 5*d - 9201 for x. 22 Solve -4451*o + 1 = -4450*o + i, o - 9 = -5*i for o. -1 Solve 2*s + 10 = -534*m + 538*m, 3*m - 5*s = 25 for m. 0 Solve y = 4*g + 15, -4*y + 2*g - 43 = -75 for y. 7 Solve -4*b = 2*v - 8, 1 - 1 = -3*v + 8 + 4 for b. 0 Solve -4*a = -7*a - 5*l - 60, 4*l = -2*a - 46 for a. -5 Solve 4*x = -b, 4*x - 4*b = 1 + 19 for x. 1 Solve 240*t = 5*o + 239*t + 5, -4*t = 20 for o. -2 Solve 440*z - 435*z = 5*a + 30, -2*a + z = 13 for a. -7 Solve 3*o - 5*u - 8 + 3 = 0, -25 = -3*o - 5*u for o. 5 Solve -s + 12 = -4*w, -14824 = s + w - 14816 for s. -4 Solve l - 3*a = -2, -37*l - a + 3 = -35*l for l. 1 Solve -5*q + 5*c = -7*q + 16, 0 = -2*q - 11*c - 15*c + 58 for q. 3 Solve -3*v + 1607*l = 1612*l + 15, -4*v + 4*l - 20 = 0 for v. -5 Solve -5*g + 51671 = -4*z + 51709, 4*z + 4 = -2*g for g. -6 Solve -2*r + 4 = -2*h, -7815*r + 7809*r = 3*h - 3 for r. 1 Solve -2*q - 30 = 16 - 36, 0 = -14*m + 4*q + 62 for m. 3 Solve -2*o - 4381*b = -4378*b - 1, -3*b = -o + 5 for o. 2 Solve -p = 2*p + 2*u + 51, -2*u - 85 = -25 for p. 3 Solve -5*g = -6*g - 2*x, -3*g - x + 14 = -1 for g. 6 Solve v + 2*a = 4, 452 = v - 3*a + 448 for v. 4 Solve -81*r + 14 = -79*r - 3*p, 5*r - 7 = 4*p for r. -5 Solve -3 = -3*q, 230*q - 39 = 5*r + 221*q for r. -6 Solve c - 404 = 4*m - 330, 0 = -c + m + 20 for c. 2 Solve -4*x = -9*i - 22, 13*i - 8 = 15*i - 4*x for i. -2 Solve -46 = 2*q - 44, q = -4*w + 8*q + 31 for w. 6 Solve 49*b = 5*w + 50*b - 1, 2 = -2*w + 5*b - 3 for w. 0 Solve 1693*f - 4*j - 16 = 1690*f, 0 = -2*f + 5*j + 13 for f. 4 Solve -4680*j + 21 = -3*k - 4677*j, 2*k + 58 = 6*j for k. 4 Solve v = 4*o + 37, -o + 503*v = 507*v - 12 for o. -8 Solve -2*w - 97 + 101 = 0, 11*p + w = -53 for p. -5 Solve -3554*m + 3549*m = -5*g - 15, 3*m - 19 = 5*g for g. -5 Solve -5*r = 4*l - 50, 2*l + 361*r = 359*r + 26 for l. 15 Solve m = 2*r - 2, 14261*r - 86 = -20*m + 14259*r for m. 4 Solve 3*c - 4*k - 33 = 0, c - 5*k + 24 = 68 for c. -1 Solve 3*q + 14*p = 5, 222 = -2*p + 224 for q. -3 Solve -3*m - 600*l + 19 = -598*l, 4*m - 2*m = l + 8 for m. 5 Solve 4*w + 3*o = 59, 2*o - 7579 + 7521 = 2*w for w. -4 Solve 97*r = 93*r - 5*x + 7, 0 = 2*r + 5*x + 9 for r. 8 Solve -4*o - 3 = 152*u - 153*u, 2*u + 3 = -o for u. -1 Solve 230*k - 21 = z + 236*k, 2*z = -5*k - 7 for z. 9 Solve -4*u - 4*o + 12 = 0, 705*o - 89 = -23*u + 702*o for u. 4 Solve 7*t + 5*u + 9 = -t, 0 = 4*t - 3*u + 21 for t. -3 Solve -4*d = u - 15, 3*u + 267*d - 265*d = -5 for u. -5 Solve u - 5*l + 60 = 0, -6*u - 243 = 3*l - 279 for u. 0 Solve -f - 3*f = -3*y + 55, -2*f - 4*y = 22 for f. -13 Solve 7*m = 2*y - 88, 305*m - 302*m + 47 = -y for y. -5 Solve 211*x - c = 206*x - 39, 43 = -5*x + 2*c for x. -7 Solve -11*h - 3*f + 73 = -72*h, 2*f - 6 = -2*h for h. -1 Solve 3*h + 28 = -5*s + 7, -2*s = 7*h + 20 for s. -3 Solve -4*v + 22*o + 31 + 73 = 0, 3*v - 20 = 2*o for v. 4 Solve v - 53*b + 49*b - 2 = 0, 2*b + 4 = 2*v for v. 2 Solve 10 = -4*f + 3*o, -o = 29 - 31 for f. -1 Solve f + 197 = 4*n + 169, -21 = -5*f - 3*n for f. 0 Solve -21*k + 56 = -4*t - 25*k, -1434 = 120*t - 3*k for t. -12 Solve 2*v + 8*r - 25*r = 81, 7 = -v - r for v. -2 Solve 84*i + 4*v + 12 = 86*i, -i = -5*v - 15 for i. 0 Solve 45 = 2*b + 3*s, 246 = -5*b + 5*s + 146 for b. -3 Solve 55 = -23*h + 19*h + 5*o, 3*h + 7*o - 34 = 0 for h. -5 Solve 3*j - 8 = -5*i, -1471*i + 1472*i = -4*j - 12 for i. 4 Solve l = 3*h - 7, -20075*l - 2*h + 18 = -20077*l for l. -10 Solve -y + 3*i = -6, -5*i + 57 - 66 = -2*y for y. -3 Solve 5*f - 4*c + 2 = 0, 2*f = -209*c + 212*c + 2 for f. -2 Solve -2*q - 4164 = -4160, -2*g - 2*q = -10 for g. 7 Solve -u = -4*q - 13 + 12, -2*u - 3*q + 13 = 0 for u. 5 Solve -3*f + 3*l - 27 = 0, 0 = -17084*f + 17081*f + 5*l - 41 for f. -2 Solve 3*i - 5*l = -89, 11*i - 7*i = -2*l + 9 + 11 for i. -3 Solve 3*z - 7 = 2*w, -9*w - 3*z + 15 - 30 = 0 for w. -2 Solve -4*c - 4*l = 0, -4*c - 7 = 111*l - 114*l for c. -1 Solve 5*k + 60 = 5*h, 0 = 12*k + 3*h - h + 172 for k. -14 Solve -z - 53*n + 48*n = -16, -3*n - 4 = 4*z for z. -4 Solve 0 = -4*k - 4*x - 8, 0 = -82*k + 80*k - 7*x + 21 for k. -7 Solve 0 = -2*t + 39*g - 34*g + 14, -3*t = -3*g - 12 for t. 2 Solve i = 5*c - 98 + 73, -25 = -5*c for i. 0 Solve -2*g + 7*q - 3*q = -4, -q + 9 = -3*g for g. -4 Solve 4 = 4*n - 5*c + 25, 2*n - c = -3 for n. 1 Solve 5*z + x - 7 = 0, -2*z = -812*x + 815*x + 5 for z. 2 Solve 28 = 2*n + 4*b, -133*n - 16 = -129*n - 4*b for n. 2 Solve 4*x + 11*j = 53, -4349*j + 4 = 2*x - 4351*j for x. 5 Solve -4*b - 80 = -5*d - 81, -d - 4*b = -19 for d. 3 Solve -3*a - 2*d - 19 = 0, -2*a + 74*d = 70*d - 14 for a. -3 Solve 0 = 2*c + n - 9, -2043*n + 2045*n + 6 = 0 for c. 6 Solve -1411*m - 5*x = -1406*m + 45, 2*m + 22 = -3*x for m. -5 Solve -25*l + 5*p = -30*l - 5, 44 = 4*l - 8*p for l. 3 Solve 3*a = 2*l + 11, -4*l = -a - 1 + 28 for l. -7 Solve 2*a - 3*i + 13 = 0, 5*i = 109*a - 107*a + 23 for a. 1 Solve -s + 3 = -4*v, 2*s + 6 = 5*v - 9*v for v. -1 Solve -n = 2*n - 3*l, 2*n + 6*l = -16 for n. -2 Solve 5*q = -4*r + 26, 2*q - 3*r + 11 = 26 for q. 6 Solve 4*z - 2126 = 3*o - 2070, -5*z + o = -59 for z. 11 Solve 9 = 2*h - y, 3341*y = 4*h + 3331*y - 42 for h. 3 Solve 12 = -4*o - 5*g, -o - 128 = -g - 116 for o. -8 Solve 9*f + 22 = 4*o + 11*f, -2*f = 3*o - 19 for o. 3 Solve 7*r - 409*c + 413*c + 50 = 0, 5*c + 4 = r for r. -6 Solve 3*z - 9*k = 132, 4*z = 56*k - 55*k + 33 for z. 5 Solve 0 = -4*i + q - 10, -54*q + 4 = -4*i - 50*q for i. -3 Solve 13*l = 3*n + 84, n - 4*n + 250*l = 246*l + 30 for n. -2 Solve 1624*q - 1627*q - 11 = -j, 0 = -9*q + 2*j - 37 for q. -5 Solve 3*p = -7*v + 24, 3*p = -12*v - 0*p - 105 + 144 for v. 3 Solve 4*b - 4 = 0, 42*t + 2*b = 45*t + 11 for t. -3 Solve -7*c = -k - 28, 2*c = -k + 61 - 53 for c. 4 Solve 5*k = -5*r - 30, -r + 75*k - 73*k = -12 for r. 0 Solve b + 7 = 2*g, -4*b + 5*g + 42 - 67 = 0 for b. -5 Solve -3*f = r - 12, -3*r - 5*f = 162 - 182 for r. 0 Solve -3*z = -k + 10, -41*k + 43*k - 16 = 4*z for z. -2 Solve t + 10 = -f, -26*f = -28*t + 31*t + 191 for t. -3 Solve 5*a + 26 = 3*d, -2*a = -738*d + 742*d for d. 2 Solve 4*k - 5*o + 110 = 0, -87 = -408*k + 411*k - 4*o for k. -5 Solve 3*x = -1483*h + 1482*h + 5, -4*x + 32 = -5*h for h. -4 Solve 3*u - g - 12 = 4*u, 2 = -g for u. -10 Solve -2*u - 21 = 21*l, 13 = l - 5*u + 14 for l. -1 Solve -7*a + 6*a = -4*f - 15, 0 = -a + 2*f + 7 for a. -1 Solve 3*x + 4*i + 5 = 0, 87*x = 91*x + 3*i + 9 for x. -3 Solve -k = -4*j - 16, 3081*j - 3080*j + 7 = k for j. -3 Solve 0 = 3*h, -16*s + 21*s - 4*h = 0 for s. 0 Solve -c + 18 = -3*g, -5*c - 44*g = -41*g - 36 for c. 9 Solve -14 = 11*r - 3*n, 5897*r - 5899*r + 3*n + 22 = 0 for r. -4 Solve 1471*y + 3 = 1470*y - v, 5*y - 5*v - 35 = 0 for y. 2 Solve 12*i - 27*i = -16*i + 3*c + 7, -2*i + 4*c = -8 for i. -2 Solve -5*u - 1 = -n, u + 170 = 2*n + 177 for u. -1 Solve 3*j + 3*z + 15 = 0, 37*z - 35*z + 10 = 3*j for j. 0 Solve 0 = -3*p + 4*l - 12, 0 = -3*p - 5*l - 1866 + 1881 for p. 0 Solve 0 = -1752*n + 1757*n - a - 10, 4*a - 35 = -5*n for n. 3 Solve 5*w + 254 = 4*f + 249, 4*f + 4*w + 40 = 0 for f. -5 Solve 0 = -2*m - 2*p + 34, -m - 1493*p + 1488*p = -69 for m. 4 Solve 2*n = 2*x - 16, 17033*n - 17031*n = -x - 4 for n. -4 Solve 3*w + 6*z = 6*z - 9*z - 33, -2 = 2*z for w. -8 Solve 0 = 2*p - 28419*c + 28416*c - 5, -5*c = 2*p + 35 for p. -5 Solve -c - 132 = 4*m - 62 - 64, -5*m + 1 = -3*c for m. -1 Solve -g + 164 - 177 = -2*p, -21 = g - 4*p for g. -5 Solve -2*l - 83*j + 4 = -78*j, -2*j = 5*l - 10 for l. 2 Solve -2*l - 4*v = 6, -5*l - 338*v + 335*v = 15 for l. -3 Solve h - 33 = -6*l, 22*l + 3*h = 19*l + 9 for l. 6 Solve 2*b = -n - 7, 6*b - 6788*n + 6792*n = -20 for b. -4 Sol
{ "pile_set_name": "DM Mathematics" }
is the s'th term of 9921, 9933, 9945, 9957, 9969, 9981? 12*s + 9909 What is the z'th term of 294, 603, 928, 1275, 1650, 2059? z**3 + 2*z**2 + 296*z - 5 What is the o'th term of 9259, 37058, 83391, 148258, 231659, 333594, 454063? 9267*o**2 - 2*o - 6 What is the o'th term of 42317, 42315, 42313, 42311, 42309, 42307? -2*o + 42319 What is the b'th term of -54323, -54309, -54297, -54287, -54279, -54273? -b**2 + 17*b - 54339 What is the v'th term of -851, -6758, -22791, -54014, -105491, -182286, -289463, -432086? -844*v**3 + v**2 - 2*v - 6 What is the v'th term of 62, 33, -202, -745, -1698, -3163, -5242, -8037? -17*v**3 - v**2 + 93*v - 13 What is the j'th term of 15743, 15749, 15767, 15803, 15863, 15953? j**3 - j + 15743 What is the w'th term of 4, -106, -290, -548, -880? -37*w**2 + w + 40 What is the a'th term of -839, -1340, -2175, -3344, -4847? -167*a**2 - 672 What is the a'th term of -105, -262, -445, -648, -865, -1090? a**3 - 19*a**2 - 107*a + 20 What is the d'th term of 45425, 90852, 136279? 45427*d - 2 What is the h'th term of 51, 67, 99, 147, 211? 8*h**2 - 8*h + 51 What is the y'th term of 531995, 1063991, 1595987, 2127983? 531996*y - 1 What is the a'th term of 10648, 10658, 10670, 10684, 10700? a**2 + 7*a + 10640 What is the i'th term of -636, -1295, -1970, -2667, -3392, -4151, -4950? -i**3 - 2*i**2 - 646*i + 13 What is the r'th term of -24764, -49537, -74320, -99119, -123940, -148789? -r**3 + r**2 - 24769*r + 5 What is the w'th term of -13682, -27353, -41024? -13671*w - 11 What is the l'th term of 286, 1311, 3020, 5413, 8490? 342*l**2 - l - 55 What is the f'th term of -2602, -2603, -2604, -2605, -2606, -2607? -f - 2601 What is the t'th term of 2077772, 2077761, 2077736, 2077691, 2077620? -t**3 - t**2 - t + 2077775 What is the i'th term of 610, 1191, 1784, 2389, 3006, 3635? 6*i**2 + 563*i + 41 What is the d'th term of -198, -848, -1500, -2154, -2810, -3468? -d**2 - 647*d + 450 What is the h'th term of -137894, -275783, -413672, -551561? -137889*h - 5 What is the r'th term of -3039, -6911, -10797, -14703, -18635, -22599? -r**3 - r**2 - 3862*r + 825 What is the h'th term of 3, 54, 107, 162, 219, 278, 339? h**2 + 48*h - 46 What is the y'th term of -30326, -242449, -818208, -1939421, -3787906, -6545481? -30303*y**3 - 2*y - 21 What is the g'th term of -1791, -3697, -5603, -7509, -9415? -1906*g + 115 What is the c'th term of -11, -82, -183, -326, -523, -786? -2*c**3 - 3*c**2 - 48*c + 42 What is the z'th term of 354067, 354065, 354063, 354061, 354059, 354057? -2*z + 354069 What is the j'th term of -1368, -1449, -1528, -1605, -1680, -1753, -1824? j**2 - 84*j - 1285 What is the n'th term of 16216, 64879, 145984, 259531, 405520? 16221*n**2 - 5 What is the r'th term of 4605, 9182, 13747, 18300, 22841, 27370? -6*r**2 + 4595*r + 16 What is the g'th term of -1705, -1710, -1711, -1708, -1701, -1690, -1675? 2*g**2 - 11*g - 1696 What is the q'th term of 114065, 114061, 114057, 114053? -4*q + 114069 What is the j'th term of -19939, -19940, -19941, -19942, -19943? -j - 19938 What is the o'th term of -995, -8066, -27265, -64658, -126311, -218290, -346661, -517490? -1011*o**3 + 2*o**2 + 14 What is the r'th term of -4773, -4778, -4783, -4788, -4793, -4798? -5*r - 4768 What is the i'th term of -669, -2344, -5017, -8688, -13357, -19024, -25689? -499*i**2 - 178*i + 8 What is the j'th term of -28, -332, -1154, -2752, -5384, -9308? -43*j**3 - j**2 + 16 What is the n'th term of 545, 4345, 14657, 34739, 67849, 117245, 186185, 277927? 543*n**3 - 2*n**2 + 5*n - 1 What is the r'th term of 1728, 13753, 46392, 109953, 214744, 371073, 589248, 879577? 1718*r**3 - r**2 + 2*r + 9 What is the w'th term of 1588, 3272, 5144, 7300, 9836, 12848, 16432? 16*w**3 - 2*w**2 + 1578*w - 4 What is the c'th term of -6088, -12180, -18270, -24358? c**2 - 6095*c + 6 What is the w'th term of -596, -2323, -5208, -9257, -14476, -20871, -28448, -37213? -w**3 - 573*w**2 - w - 21 What is the f'th term of -23923, -23902, -23879, -23854? f**2 + 18*f - 23942 What is the i'th term of -13109, -52394, -117869, -209534? -13095*i**2 - 14 What is the k'th term of -195, -189, -165, -111, -15? 2*k**3 - 3*k**2 + k - 195 What is the y'th term of 4984, 4973, 4948, 4903, 4832, 4729, 4588, 4403? -y**3 - y**2 - y + 4987 What is the o'th term of -29, -219, -541, -995, -1581? -66*o**2 + 8*o + 29 What is the x'th term of -22917, -22915, -22913? 2*x - 22919 What is the c'th term of -2004, -2002, -2000, -1998, -1996, -1994? 2*c - 2006 What is the a'th term of 3722023, 3722024, 3722025, 3722026, 3722027? a + 3722022 What is the n'th term of 225, 254, 277, 300, 329? n**3 - 9*n**2 + 49*n + 184 What is the x'th term of 19417, 77680, 174787, 310738, 485533, 699172, 951655? 19422*x**2 - 3*x - 2 What is the a'th term of -11, -63, -163, -317, -531, -811? -a**3 - 18*a**2 + 9*a - 1 What is the d'th term of 190, 308, 412, 496, 554? -d**3 - d**2 + 128*d + 64 What is the w'th term of 107543, 107565, 107603, 107657, 107727, 107813? 8*w**2 - 2*w + 107537 What is the d'th term of 639197, 639199, 639201? 2*d + 639195 What is the b'th term of -87, -198, -305, -414, -531? -b**3 + 8*b**2 - 128*b + 34 What is the x'th term of 2661, 10514, 23601, 41922? 2617*x**2 + 2*x + 42 What is the h'th term of -2612, -2608, -2602, -2594, -2584, -2572, -2558? h**2 + h - 2614 What is the k'th term of 74, 116, 230, 452, 818, 1364? 6*k**3 + 68 What is the l'th term of 222, 1741, 5824, 13743, 26770, 46177, 73236? 212*l**3 + 10*l**2 + 5*l - 5 What is the n'th term of -8589, -8533, -8475, -8415, -8353? n**2 + 53*n - 8643 What is the a'th term of -193150, -386283, -579414, -772543, -965670, -1158795? a**2 - 193136*a - 15 What is the s'th term of -1011, -2032, -3043, -4038, -5011, -5956? s**3 - s**2 - 1025*s + 14 What is the w'th term of -35254, -70521, -105788, -141055, -176322, -211589? -35267*w + 13 What is the h'th term of 1518852, 1518851, 1518850, 1518849, 1518848? -h + 1518853 What is the c'th term of -8287, -16555, -24823, -33091, -41359? -8268*c - 19 What is the z'th term of -201, -820, -1859, -3324, -5221, -7556, -10335, -13564? -z**3 - 204*z**2 + 4 What is the z'th term of 11766, 23536, 35306, 47076, 58846? 11770*z - 4 What is the k'th term of -25893, -25896, -25899, -25902? -3*k - 25890 What is the m'th term of -62398, -124799, -187202, -249607, -312014, -374423, -436834? -m**2 - 62398*m + 1 What is the k'th term of -429, -1676, -3765, -6702, -10493? -k**3 - 415*k**2 + 5*k - 18 What is the g'th term of 7245, 7257, 7273, 7293? 2*g**2 + 6*g + 7237 What is the y'th term of 585, 1430, 2789, 4920, 8081? 43*y**3 - y**2 + 547*y - 4 What is the x'th term of 18, 39, 60, 81, 102, 123? 21*x - 3 What is the m'th term of -7839, -7702, -7565, -7428, -7291? 137*m - 7976 What is the l'th term of -26921, -53834, -80747? -26913*l - 8 What is the r'th term of -172, -95, -14, 71? 2*r**2 + 71*r - 245 What is the c'th term of -1137, -2311, -3485, -4659, -5833, -7007? -1174*c + 37 What is the t'th term of -41, -338, -1133, -2672, -5201, -8966? -41*t**3 - 3*t**2 - t + 4 What is the t'th term of 195, 131, 59, -21, -109? -4*t**2 - 52*t + 251 What is the s'th term of 656663, 1313327, 1969991, 2626655, 3283319, 3939983? 656664*s - 1 What is the n'th term of -1792, -7177, -16152, -28717, -44872, -64617? -1795*n**2 + 3 What is the b'th term of 56, -307, -670, -1033, -1396, -1759? -363*b + 419 What is the h'th term of 3473, 7037, 10685, 14411, 18209, 22073? -h**3 + 48*h**2 + 3427*h - 1 What is the h'th term of 5713, 5519, 5325, 5131? -194*h + 5907 What is the t'th term of 140, 214, 394, 728, 1264, 2050, 3134? 8*t**3 + 5*t**2 + 3*t + 124 What is the r'th term of 12406, 24408, 36408, 48406? -r**2 + 12005*r + 402 What is the o'th term of -72, -249, -508, -843, -1248? o**3 - 47*o**2 - 43*o + 17 What is the p'th term of -712, -710, -708, -706, -704? 2*p - 714 What is the j'th term of -4987, -5040, -5093? -53*j - 4934 What is the i'th term of -3458, -3328, -3212, -3116, -3046, -3008, -3008, -3052? -i**3 - i**2 + 140*i - 3596 What is the z'th term of -147, -201, -289, -411, -567, -757, -981? -17*z**2 - 3*z - 127 What is the a'th term of 760514, 760512, 760510, 760508, 760506? -2*a + 760516 What is the k'th term of -1742, -3547, -5342, -7121, -8878, -10607, -12302, -13957? k**3 - k**2
{ "pile_set_name": "DM Mathematics" }
factor of c? True Is 28 a factor of 11/((-11)/(-102)) + 2? False Suppose -5*l = -5*f - 33 + 98, -5*f = 5*l - 65. Let p = f + -10. Is 3 a factor of p? True Let c(k) = k**3 - 9*k**2 - 10*k + 4. Let l be c(10). Suppose 4*m - 7*h - 201 = -l*h, m - 34 = 4*h. Does 19 divide m? False Let a(j) = j + 3. Let p be a(-9). Is 3 a factor of 2/(-4)*(-6 + p)? True Let t(w) = 6*w - 8. Let c(r) = -4*r + 5. Let g(u) = 7*c(u) + 5*t(u). Is g(6) a multiple of 3? False Suppose -5*g - 9 + 29 = 0. Let p(b) = -16*b - 13. Let w(s) = -4*s - 3. Let a(n) = 2*p(n) - 9*w(n). Is a(g) a multiple of 17? True Let u(x) = x**2 + 4*x - 8. Let i be u(-6). Suppose -30 = -i*w + w. Is w a multiple of 10? True Suppose 3*p - 446 = -20. Is 25 a factor of p? False Suppose 3*p + 2*c = -2*p + 821, 2*p = 2*c + 320. Is p a multiple of 28? False Let r(z) = -4*z**2 - 4*z + 4. Let a(l) = 11*l**2 + 11*l - 12. Let v(x) = 3*a(x) + 8*r(x). Let c be v(0). Is 24 a factor of 148/6 + c/6? True Let v = 1 + 2. Let u(i) = 1 - 4 + 4 - 24*i**v + i. Is u(-1) a multiple of 12? True Suppose -3*w = 4*y - 2, -2*w = -0*w - 3*y - 24. Is w a multiple of 3? True Let t(p) = -p - 1. Let w be t(-2). Does 7 divide (0 - w - 1)*-12? False Suppose 0 = s + 3, 0 = -f - 2*f - 5*s + 255. Is 18 a factor of f? True Let b(g) = g + 31. Let k be b(0). Let j(d) = -d**3 + 16*d**2 + 16*d - 4. Let t be j(17). Let r = t + k. Does 8 divide r? False Let v(h) = 9*h - 6. Is 6 a factor of v(3)? False Let x(z) = -z**3 - 6*z**2 - z - 2. Let i be x(-6). Let c be (i/5)/((-2)/10). Let w(a) = a**2 - a + 1. Is 7 a factor of w(c)? True Let d(a) = -a - 1. Let x be d(-1). Suppose -4*m + 4*k + 12 = 0, m - 2*k = -4*m + 15. Does 2 divide x + (-3)/m + 4? False Let a be 2/((6/(-33))/(-1)). Let n = a + 7. Is n a multiple of 5? False Suppose -26 - 191 = -5*w - 2*a, 3*a + 192 = 4*w. Does 5 divide w? True Let v(c) = -56*c**3 + c. Let z be 6/(-10) - (-4)/(-10). Does 11 divide v(z)? True Let c(n) = n**2 + 6*n + 5. Let k be c(-5). Suppose 28 = 4*x + 3*x. Suppose k = -x*r + 87 + 45. Does 11 divide r? True Let d = -46 - -33. Let o = -8 - d. Does 2 divide o? False Let r(k) = 3*k**2 - 3. Let d(q) be the third derivative of -q**6/120 - q**5/20 - q**4/12 - q**3/2 + q**2. Let h be d(-3). Does 12 divide r(h)? True Let d be (1 + (-104)/12)*-3. Let y = -13 + d. Is 7 a factor of y? False Let m(d) = d - 5. Is 2 a factor of m(19)? True Let l(b) = -16*b - 4. Is l(-2) a multiple of 7? True Let u(n) = 2*n**2 + 10*n - 1. Suppose 0*d = d + 7. Does 14 divide u(d)? False Suppose -4*f - 2*a + 398 = 0, a + 220 = 3*f - 66. Does 6 divide f? False Suppose 0 = z + s + 7, 3*z - 3*s + 21 = -2*s. Does 10 divide z/2*2*-4? False Let j = -9 + 15. Suppose -v = j - 31. Suppose 0 = 2*w + 3*w - v. Does 5 divide w? True Suppose -6 = 2*v, 0 = -3*y - v + 353 + 64. Is 15 a factor of y? False Suppose -21 = -2*b + 3*b - 5*i, 2*i - 5 = -3*b. Does 3 divide (2 + b)/1 + 10? False Does 48 divide ((-32)/(-2))/((-14)/(-56))? False Let m(b) = 65*b**2 + 2*b - 1. Let t be (-24)/(-15) - (-9)/(-15). Is m(t) a multiple of 22? True Let w = -11 + 7. Is 3 a factor of 10/3 - w/6? False Let g(j) = -j**2 + 18*j + 9. Does 24 divide g(13)? False Let i(v) = -3*v + 6. Is i(-3) a multiple of 5? True Suppose -3*a + 132 = -2*r + 7*r, -4*r - 144 = -4*a. Does 13 divide a? True Let b(s) be the second derivative of -1/12*s**4 - 3*s - 1/2*s**2 + 0 - 3/2*s**3. Is 5 a factor of b(-7)? False Let p be -5 + (-1)/(2/4). Let o = 17 - p. Is o a multiple of 8? True Suppose 3*m + 47 = -2*k, -4*m + k = 4*k + 61. Let w = m - -13. Is 9 a factor of ((-3)/w)/((-2)/(-72))? True Let j = 0 + -1. Let y(z) = -z + 1. Let l be y(j). Is 12 + (l + -3)*1 a multiple of 11? True Let z(x) = -x**3 + 6*x**2 - x - 7. Let u be z(6). Let v = u - -29. Is 13 a factor of v? False Suppose 0 = w - 3*w - 154. Let q = 13 - w. Is 26 a factor of q? False Suppose 3*v = x + 13, -3*v + 0*x + 28 = 2*x. Is 6 a factor of v? True Does 17 divide 127 + -4*5/10? False Suppose 0*h = -3*h + 18. Is h even? True Suppose -n - 4 = -3*n. Suppose -n*x = x + 4*j - 95, 3*x - 91 = -5*j. Is x a multiple of 17? False Let f(a) = -a**3 - 5*a**2 - 2*a + 3. Let q(u) = 2*u**3 + u. Let o be q(-1). Let r be f(o). Let h = 18 + r. Is 5 a factor of h? False Suppose -3*p + 10*p = 182. Is 13 a factor of p? True Let a(y) = y - 7*y + 3*y. Does 9 divide a(-6)? True Let c(l) = 14*l**2 - 2*l + 2. Is c(1) a multiple of 14? True Suppose 0 = -0*o - o. Suppose 2*k - 3*k - 5*d + 6 = o, 5*k = 2*d + 30. Suppose 58 = 2*g - 4*m, g = k*g - 4*m - 145. Is g a multiple of 13? False Let i = -5 - -9. Suppose 3*z = 5*p + 8*z, 0 = -i*p + 2*z + 24. Is 2 a factor of p? True Let t be 1 + 2 + 2 + -2. Does 3 divide (2/t)/((-4)/(-66))? False Suppose 4*s - 5*s + 43 = 0. Let o = s - 0. Does 12 divide o? False Let u = -91 - -187. Is 48 a factor of u? True Let w be (4 + -5)*(-63 + 1). Let i be (-2 - -5)/(3/w). Suppose -i - 30 = -4*t. Is 12 a factor of t? False Suppose 0*a - a + 20 = 0. Is a a multiple of 5? True Let n(a) = a**2 + 9*a + 11. Is 18 a factor of n(6)? False Suppose -g - 1 = -6*y + 4*y, 15 = 3*g. Is 19 a factor of 3 - 3/y*-24? False Suppose 6 = -0*d + 2*d. Suppose -4*h = -h - 5*i + 3, 0 = -d*h + 4*i. Is 2 a factor of h? True Suppose 0 = -m + 6*m - 90. Suppose -m = 3*a - 144. Is 22 a factor of a? False Let z(x) = -33*x**3 + x**2 - x. Let r be z(1). Let n be (-44)/r*(-27)/(-2). Let j = n - 3. Is j a multiple of 9? False Let o(t) = t + 1. Let f be o(1). Suppose 2*m - 5*n - 41 = -17, 2*m - f*n = 18. Is 7 a factor of m? True Does 11 divide (-44)/((-48)/(-30) + -2)? True Let k(a) = 7*a - 11. Does 31 divide k(14)? False Suppose 2*f + 4*u - u + 15 = 0, -f + 5 = -u. Let n be (2 - f)/((-4)/(-10)). Suppose 5*p + 54 = n*v + 4*p, p - 34 = -3*v. Does 11 divide v? True Let n = -159 - -239. Is 4 a factor of n? True Let c(w) = w**2 + 4*w + 1. Does 13 divide c(7)? True Suppose 0 = 4*b - 20 - 36. Is 12 a factor of b? False Let w be 286/6 - (-2)/6. Suppose 2*l = -0*l + w. Does 8 divide l? True Suppose -p + 5*d - 2 = 5, 2*p - 14 = -4*d. Suppose -3*w + p*n + 107 = -43, 2*w - 85 = 5*n. Suppose -f = 4*r - 6*f - w, 0 = r - f - 15. Is 16 a factor of r? False Let b(q) = q - 66. Let o be b(0). Suppose 2*a = -5*j - 200, j + 139 = -2*j - 5*a. Let c = j - o. Does 14 divide c? True Suppose 10 = -2*h, 3*b - h = b + 19. Let i(j) be the first derivative of j**4/4 - 7*j**3/3 + 8*j - 6. Is 3 a factor of i(b)? False Is (4/(-6))/((-1540)/768 + 2) a multiple of 11? False Let t = 70 + 10. Does 30 divide t? False Let k(q) = q**3 - 7*q**2 - 6*q - 11. Let p be k(8). Let o(t) = t**2 + 7*t + 8. Let z be o(-6). Suppose p = -z*u + 53. Does 7 divide u? False Let p = 2 - 1. Suppose -3*l = -p - 14. Does 3 divide l? False Let g(x) = -99*x + 1. Let p be g(-1). Suppose 0 = -f - 2*z + p, 3*f - 2*z - 440 = -f. Does 9 divide f/8*2/3? True Let k = -165 + 252. Does 6 divide k? False Let n(z) = -3*z - 2. Let f be n(-2). Suppose 0*q + 2*q = 3*m + 21, -11 = 3*q + f*m. Let a(k) = 2*k + 2. Does 7 divide a(q)? False Suppose 15 + 60 = 5*o + 5*f, f = -2*o + 35. Let h be 2/(-7) - 8/(-28). Suppose -j - j + o = h. Is j a multiple of 5? True Let i = 23 - 15. Is i + 1 - (-8 - -5) a multiple of 6? True Suppose 4*x + 4*c - 176 = 0, 0 = -5*x + 2*c + c + 204. Is 6 a factor of (x/(-4))/((-2)/4)? False Is ((-12)/(-4))/((-3)/(-17)) a multiple of 17? True Suppose -t = 5*c + 2*t + 87, -5 = -5*t. Is (-122)/c + (-4)/(-18) a multiple of 7? True Suppose 5*c = 3*g + 171, 4*c - 21 = 3*g + 114. Let r = c - 14. Does 11 divide r? True Let j(p) = -p - 1. Let d be j(-1). Let a = d - -26. Is 13 a factor of a? True Let m(d) = -3*d**3 + 25*d**2 - 22*d + 18. Let n(w) = w**3 - 8*w**2 + 7*w - 6. Let v(t) = -3*m(t) - 8*n(t). Let y be v(10). Is 6 a factor of (-56)/(-6) + (-4)/y? False Let i = 6 + -4. Let p = -6 + i. Let r(z) = -2*z**3 - 7*z**2 - 5*z - 1. Is 15 a factor of r(p)? False Suppose 6*w = 2*w + 160. Suppose p + w = 7. Let u = 55 + p. Does 9 divide u? False Suppose -3*x - 2*f = 2, -2*f = -x - 5*f - 10. Let u be 4/(-6) + 6/9. Suppose -d - x + 10 = u. Does 4 divide d? True Let o(m) be the second derivative of -m**5/20 + 7*m**4/12 + 3*m**2/2 - 4*m. Is o(6) a multiple of 18? False Let m(d) = d**2 + 10*d + 11. Let z be m(-9). Suppose 0 = c + z*o - 27, -c = c - 5*o - 18. Suppose -c = -n - a, -2*n + 0*a = -2*a - 54. Is 23 a
{ "pile_set_name": "DM Mathematics" }
? (a) -389.29 (b) 0.2 (c) -0.1 (d) 4 (e) -5 c What is the nearest to 3 in 1, -2/7, 2, 3? 3 What is the nearest to -0.2 in 1, -2/15, 1111? -2/15 Which is the nearest to 0.2? (a) 0.277 (b) 6 (c) -4 a What is the closest to -2/7 in 0.4, -3, 0, 1/7? 0 What is the closest to 1 in -4, 0.17, -604, 4? 0.17 Which is the nearest to 8/3? (a) -2/3 (b) -19/21 (c) -5 a Which is the nearest to 0? (a) -2 (b) 0.3 (c) -13 (d) -33/2 b Which is the closest to 0? (a) -0.07 (b) -121 (c) 0.3 a What is the closest to 2/7 in 1/9, 6/23, -9/5? 6/23 What is the nearest to 4/9 in -2/3, 104, 1/6, 1/4? 1/4 Which is the closest to -1? (a) 10/53 (b) -1/28 (c) -8 b What is the closest to 2/75 in 10/17, 1, 1/2? 1/2 What is the nearest to 118 in -2/13, -3, 1/18, 5? 5 Which is the nearest to -1? (a) 215/9 (b) 0.06 (c) -2 c Which is the nearest to -6? (a) -5 (b) 6 (c) 4 (d) 0.1 (e) 1/14 a Which is the closest to 5975? (a) -1 (b) 2/3 (c) -0.1 (d) 3/4 d Which is the nearest to -1? (a) -5059 (b) -3 (c) 1/5 c Which is the closest to -1? (a) 1/7 (b) -1/5 (c) 0.5 (d) -0.5 (e) 104.6 d What is the nearest to -13 in 1/7, 50, -2/17? -2/17 What is the closest to -0.11 in -1/3, -24/13, 2/5? -1/3 What is the nearest to -4/7 in 3/5, -0.1, -0.21? -0.21 What is the closest to 0 in -2/9, 1/3, -36, 0.2? 0.2 Which is the nearest to -0.3? (a) -10/9 (b) 0.043 (c) -0.2 c Which is the closest to 391? (a) 1/4 (b) -4 (c) -1/2 a Which is the nearest to -7? (a) -1/6 (b) -3 (c) 0.2 (d) -1 (e) -26/3 e Which is the nearest to 23? (a) -4431 (b) 0.5 (c) 3/5 (d) 0 c Which is the nearest to -3? (a) 2 (b) 3/5 (c) -6 (d) -19 c What is the closest to -7 in -1703, 5, -5? -5 What is the nearest to 0 in -3, -0.13, 0.1, 4? 0.1 Which is the nearest to 12? (a) 52 (b) -6 (c) -15 b What is the nearest to -1.11 in 3, -5, 2/43, -3? 2/43 What is the nearest to -1 in 0.003, 52, 4, 3, -0.05? -0.05 What is the nearest to -2/9 in -5, -2/5, 35.6, -0.2? -0.2 What is the closest to -935 in 1/3, 0.04, -0.2, -1? -1 What is the nearest to -2/5 in 0.2, 117, -4, 4? 0.2 What is the closest to 2/5 in 0.1, 31/76, 12? 31/76 What is the nearest to 2/7 in -186, 18, 223? 18 Which is the closest to 3? (a) -5 (b) 4 (c) 0.049 (d) 1/272 b Which is the closest to -2? (a) 95 (b) 147 (c) 2/11 c What is the nearest to 1 in 3.2, -1252, -4, 1/3, 3? 1/3 What is the nearest to -2/3 in 6/5, 4, 5015/6, -5? 6/5 Which is the nearest to -1/301? (a) 0.5 (b) 1 (c) -82 (d) 0.6 a What is the closest to 1 in 6, 13/586, 0? 13/586 Which is the nearest to 1/6? (a) 1/10 (b) 0 (c) -4/7 (d) -0.1 (e) 1.8 a Which is the closest to 2/11? (a) -2/5 (b) 3 (c) 2/7 (d) 2/9 d What is the nearest to -0.1 in 0.03, 1/3, -46/7, 2? 0.03 What is the closest to -0.3 in 31, -53, -0.1? -0.1 Which is the nearest to -445? (a) 0.4 (b) 3/10 (c) -8 c Which is the closest to -1? (a) -0.2 (b) 1/2 (c) -2597.5 a What is the nearest to 13 in 3, -0.098, 0.8, -0.4? 3 Which is the nearest to -0.4? (a) -0.1 (b) -1 (c) 238.7 a Which is the closest to 1? (a) -0.2 (b) 0.3 (c) 12/151 b What is the closest to 38 in -0.08, -3.1, 2/13, -0.2? 2/13 Which is the nearest to -6? (a) -0.3 (b) 1 (c) -3 (d) -74 (e) -22 c What is the closest to 0.3 in -8, -1/8, -1/3, 3, -5? -1/8 What is the nearest to 1 in 1.1, -14, 0.08, -5? 1.1 What is the closest to 0.5 in 0, 0.2, -10, -2? 0.2 Which is the closest to -0.06? (a) 1 (b) 3 (c) 118 a What is the closest to -5 in -5, -1/4, 28, -0.5, 16? -5 What is the nearest to -1 in 2, -6, 7.82, -0.4? -0.4 What is the nearest to 0.3 in 0, -0.17, 5, 2.8? 0 What is the nearest to -18561 in 0.6, -3, 3, 2/17? -3 Which is the nearest to 1/3? (a) 0.1 (b) -2285.6 (c) 2 (d) -0.5 (e) 5 a What is the closest to -1/4 in 0.2, 0.0418, -3/5? 0.0418 Which is the closest to -3? (a) 0.1 (b) -0.3 (c) 4 (d) 96 b What is the nearest to -7 in -0.196, -0.2, -4/3? -4/3 What is the closest to -0.02 in 6, -0.8, 3? -0.8 Which is the closest to -152? (a) 4 (b) -3 (c) 2 (d) 3 b Which is the nearest to 1? (a) -1/4 (b) -5 (c) -0.239 (d) 0.3 d Which is the nearest to 0? (a) 20 (b) 3/7 (c) 0.0277 c What is the closest to -1/3 in -1, 2/15, 21629? 2/15 Which is the closest to -1/4? (a) 4 (b) -1.407 (c) -0.2 c What is the nearest to -2/35 in 0.5, -2, 4, 0.04, -0.1? -0.1 What is the nearest to 0.07 in 0.24, 36.4, -4/9? 0.24 Which is the closest to 0.1? (a) 10.2 (b) -0.5 (c) -45 (d) -2/5 (e) -0.2 e What is the nearest to -4/17 in -1, 2/93, 1, -2, -4? 2/93 Which is the nearest to -177? (a) -0.3 (b) 0.6 (c) 4 (d) -3/4 (e) 0 d Which is the closest to -0.12? (a) -1/5 (b) 4/5 (c) -41 (d) -3 a What is the closest to 3 in -0.02, 3, -4, 8/29, 4? 3 Which is the closest to -6? (a) 0 (b) 174 (c) 0.3 (d) 1/2 (e) 0.2 a Which is the nearest to -1? (a) -104 (b) 3 (c) 0.2 c What is the closest to 0 in -15, -75, 3, 1, -4? 1 What is the closest to 0.0879 in -2/251, 0.5, -2, -3? -2/251 What is the closest to -66 in -1/5, 3.04, 1/2, -0.5, -2? -2 What is the closest to 11 in 0.5, 1/65, -1, 8, -5? 8 Which is the closest to -998? (a) 1 (b) -0.2 (c) 0.1 (d) -0.08 (e) 2 b Which is the nearest to 131? (a) 0.4 (b) 3 (c) -0.2 b Which is the closest to -1? (a) -3 (b) -528 (c) -12 (d) 0 d Which is the closest to -1? (a) -460 (b) -5 (c) 2/21 (d) 0.1 (e) -2 e What is the nearest to -0.1 in 0.3, -2, -875, 197? 0.3 Which is the closest to 4/3? (a) 5 (b) -2 (c) -3 (d) -1 (e) -15 d Which is the closest to 1? (a) -1076 (b) 10/13 (c) 1 c What is the nearest to 0.3 in -5, 688, -3? -3 Which is the nearest to 2? (a) -1 (b) 4 (c) 0.09 (d) -3 (e) 1.1 e Which is the nearest to 2? (a) 2 (b) 44/15 (c) -5 a Which is the nearest to 2? (a) -3/2 (b) 0.1 (c) -12 (d) -311 (e) 0 b Which is the closest to 377/16? (a) -0.09 (b) -14 (c) 0 c Which is the closest to -0.1? (a) -3 (b) 2 (c) 37/9 b Which is the closest to -0.1? (a) -1/8 (b) 7222 (c) 1 a Which is the nearest to -2? (a) 1/3 (b) 7 (c) 1.9 (d) -6 a Which is the closest to 0.2? (a) -486 (b) 25 (c) 1/9 c Which is the closest to -0.4? (a) 0.04 (b) 35 (c) -0.24 (d) 4 c Which is the closest to 1? (a) 34367 (b) -0.2 (c) 0.29 c What is the closest to 0.2 in 1/56, 0.66, 23, -4? 1/56 What is the closest to 1/30 in -2, 0.02, 0.07? 0.02 What is the nearest to -0.5 in 0.1, 0, 1, 48? 0 What is the nearest to 5.2 in -1, -1/8, 1, -100? 1 Which is the nearest to -580? (a) 8 (b) -5 (c) 4 (d) 1 b Which is the closest to 2/1283? (a) 1 (b) -0.1 (c) -4 (d) 4 b Which is the nearest to 255? (a) -1 (b) 84 (c) 5 b What is the closest to 3/5 in -12, 2, 11? 2 What is the nearest to 24.15 in 3, 36, -2? 36 Which is the closest to 192? (a) 10/9 (b) -0.21 (c) 1/4 a What is the nearest to -5 in -5, 2/87, 0.4, 14? -5 Which is the nearest to 86? (a) -7 (b) 4 (c) 2 b Which is the nearest to -1/4? (a) -2/13 (b) 1/7 (c) 13 (d) -8 (e) 7 a What is the closest to -3/2 in 0.3, 4, 0.065, 0? 0 What is the closest to 6 in -1/10, -139, 0.06, 3, 5? 5 Which is the nearest to -0.5? (a) -2 (b) 9 (c) -17978 a What is the closest to 1 in -16.36, -5, -2/21? -2/21 What is the nearest to -2/3 in 324, 0.01, -2, -1/6, 0.9? -1/6 What is the nearest to 1 in 0, 254, 3, 0.2? 0.2 What is the closest to -1/2 in 5, -5, 0.2, -1/2, 0.28? -1/2 Which is the closest to 7? (a) -113/4 (b) -1/5 (c) -0.3 (d) -3/4 (e) -5 b Which is the closest to -336.3? (a) -0.2 (b) 2/17 (c) -107/4 c Which is the closest to 6556? (a) -4 (b) -2/7 (c) 3/4 c Which is the nearest to 1? (a) -851 (b) -0.07 (c) -3 b Which is the closest to -1271? (a) -1/16 (b) 5 (c) 0.3 a What is the nearest to -0.1 in 93, 21, 3/5? 3/5 Which is the closest to 11.03? (a) -4 (b) -5/4 (c) 0.4 (d) -5 c What is the nearest to -8/39 in -2, -2/3, -15, -8/3? -2/3 Which is the closest to 0.2? (a) 6 (b) 96 (c) -3 (d) 0.2 (e) -7/5 d Which is the closest to 3? (a) 1 (b) -0.03154 (c) -2/15 a What is the nearest to 45 in -2, 0, 1/2? 1/2 What is the closest to 18 in -5, -0.314, 1/9, 2, -2? 2 Which is the nearest to 2/7? (a) 10 (b) 0.13 (c) 0.4 (d) 0.1 (e) -12 c What is the nearest to 1/8 in 2/7, 3/53, -0.03? 3/53 What is the nearest to 0.3 in 2.6, 1/6, 38, 3, -2/7? 1/6 What is th
{ "pile_set_name": "DM Mathematics" }
Suppose m + 18*s = 20*s + 6, -4*s = -4*m + w. Solve 5 = -m*k - 3*k for k. -1 Let d = 541 + -538. Let o(s) = -s**3 - 7*s**2 - 7*s - 2. Let p be (8/(-10))/((-4)/(-30)). Let w be o(p). Solve 0 = d*v + v + w for v. -1 Let f be 20 + 45/(90/(-8)). Solve -f*d + 18*d - 6 = 0 for d. 3 Let m be ((-1202)/12)/(-1) - (24 - 2086/84). Solve 137 = -6*l + m for l. -6 Let u(o) be the second derivative of -o**4/12 - 13*o**3/6 - 14*o**2 + o + 43. Let r be u(-10). Solve f = r*f for f. 0 Suppose -109 = 3*b + 335. Let o = -140 - b. Solve -2*t - o = -6*t for t. 2 Suppose -3*a = -4*f - 11, 5*f - 3*f + 13 = 3*a. Suppose 8*j - a = 3. Solve 17*r = 16*r - j for r. -1 Let u = 9 - 4. Let q(m) = 2*m**2 - 7*m + 6. Let b be q(4). Suppose 0 = -4*v + 2 + b. Solve v*l = u*l + 2 for l. -1 Let n(i) = -4*i**2 + 89*i - 94. Let o be n(21). Solve -o*d = -26*d - 60 for d. -4 Suppose 4*y + 36 = -5*d - 40, 2*y = -d - 20. Let s be (-8 - (-42)/4)*d/(-5). Solve 0 = -5*q + 7*q + s for q. -3 Let m(i) = 9*i**2 - 151*i + 302. Let q be m(2). Solve -41*b = -q*b + 35 for b. -7 Suppose -2*z = -5*f - 9, 0 = 3*f + 2*f + 2*z + 1. Let g be 2/4*(-1 - f - 0). Suppose g = -26*d + 22*d. Solve d = -4*k + 12 for k. 3 Suppose -25 = 5*l + 48*m - 43*m, 2*l = -4*m - 20. Solve -d - 2 = -l*d for d. -2 Suppose 0 = -4*w - 24 + 52. Let q be (21/(-18))/w + 510/36. Let r(y) = y**3 - 8*y**2 + 8*y - 2. Let m be r(7). Solve 0 = -m*s + 1 + q for s. 3 Suppose 5*j - 2032 = -4087. Let z = 413 + j. Solve -z*d - 2 = -8 for d. 3 Let n = 583 - 859. Let y = -272 - n. Solve 0 = 2*h - 4 - y for h. 4 Suppose -46*r = -48*r - 152. Let v = r + 77. Let f be (v + (-10)/(-2))*(-2)/(-3). Solve -w = -1 - f for w. 5 Let u = -33144 + 33159. Solve -u*t + 2*t - 65 = 0 for t. -5 Let c(b) = 5*b**2 + 154*b + 645. Let k be c(-5). Solve k = -45*h + 103*h + 174 for h. -3 Let p(y) = 5*y**3 - 6*y. Let b be (0 - 4)*15/(-30). Let z be p(b). Solve -z = -6*x - x for x. 4 Let r(n) be the third derivative of n**5/40 - 3*n**4/8 + 4*n**3/3 + 23*n**2. Let m(w) be the first derivative of r(w). Let f be m(4). Solve 4*g - 15 = -f for g. 3 Let d = -21564 - -21601. Solve -43 = -2*o - d for o. 3 Let r be ((-48)/(-10))/(((-6)/5)/(-6)). Let j be (-1 + 10)/(8/r). Let l be (-228)/(-54) + (-87)/j + 3. Solve -2 - l = -2*d for d. 3 Let m(j) = -j**2 - 8*j - 10. Let d be 1*4*55/(-44). Let x be -5 + 1 - (1 - (-5 - d)). Let a be m(x). Solve a*s = s for s. 0 Let r be ((-12)/15)/((-7 - (-72)/10)/(-3)). Solve -144 = -r*t - 24*t for t. 4 Suppose 46*w - 38*w = 56. Suppose -3*u - 9 = -2*g, w*g - 9 = 6*g + 3*u. Suppose 0*v - 10 = -2*v. Solve g = 4*j - v*j for j. 0 Suppose 295*x - 624 = 217*x. Suppose 0*r = -r. Suppose r = -s - j, 0*j = 2*j + 8. Solve -s - x = -4*n for n. 3 Let i = 2 - 0. Suppose d - 2*d - 1 = 4*l, 0 = 5*d + 2*l - 13. Let r be (1 - ((d - -2) + -9)) + -2. Solve -13 = i*q - r for q. -5 Let d(k) = -k**3 - 60*k**2 - 134*k - 1030. Let t be d(-58). Solve 113*r - t = 99*r for r. 1 Let n(y) = 404*y + 2835. Let a be n(-7). Solve 0 = -a*l + 34*l + 108 for l. -4 Let u(v) = v**3 - 16*v**2 + 4*v + 44. Let l be u(16). Let d = l + -104. Solve 0 = -5*r + r - d for r. -1 Suppose -5*j + 15 = 11*z - 6*z, -4*z = -2*j + 24. Suppose -d = -j*d + 35. Solve -4 = 3*q - d*q for q. 1 Let j be (208/(-24) - (-4)/6)*-19. Let w = -137 + j. Solve w = a + 2*a for a. 5 Suppose -4*l - 22*l + 1638 = 0. Let v be 21/l - ((-80)/(-3))/(-4). Solve v*a = 10 + 11 for a. 3 Let p = 15 - 10. Suppose 410 - 250 = 8*i. Solve p*n + 0*n = i for n. 4 Let s(t) = t**3 + 6*t**2 + 9*t + 4. Let m be s(-3). Suppose -2*q = -4*o + 8, 4*q + 0*q - 4*o = -4. Let i be (-3)/(-9)*-15 - -10. Solve i*z = m*z - q for z. -2 Suppose -16*d + 21*d - 288 + 13 = 0. Solve 22*c = 33*c + d for c. -5 Let s = -27131 + 27146. Solve 0 = -44*y + s*y - 203 for y. -7 Let d be (-1)/(-2)*(44 - 18). Solve 0 = d*v - 7*v + 42 for v. -7 Suppose 37*b + 32*b - 10*b = 17*b. Solve 11*t - 16*t - 20 = b for t. -4 Let m be 4/(-14) + 144/14. Suppose 72*z + 161*z + 158*z - 293 = 880. Solve z*g = -m*g + 2*g for g. 0 Suppose -4*z + 9*z - 176 = h, -3*z - 2*h = -90. Solve -32*k + 62 + z = 0 for k. 3 Suppose 0*w - 2*w = 3*z - 44, -4 = -z. Let g = 18 + -5. Let p be (-150)/(-39) - 4 - (-2)/g. Solve p = -0*m - 4*m + w for m. 4 Suppose 0 = -8*d - 132 + 114 + 74. Solve 9*i = d*i + 10*i for i. 0 Let c = -8250 + 8255. Solve -562 + 592 = c*q for q. 6 Suppose -96 = 8*p - 264. Solve 21 = 28*i - p*i for i. 3 Let a = -6 + 11. Let m(t) = a*t - 7*t - 6 + t. Let d be m(-11). Solve -d = -i - 0 for i. 5 Let a = -45 + 50. Suppose -3*t = -a*t - 60. Let b = -28 - t. Solve -2 - b = 2*i for i. -2 Suppose -133*d = -126*d - 210. Solve 9*v = 19*v - d for v. 3 Let s(w) = -8*w + 67. Let t be ((-980)/(-9))/14 - 2/(-9). Let z be s(t). Solve 3 = -z*c - 3 for c. -2 Suppose 0 = 128*a - 634 - 282 - 748. Solve -a*o = 19*o + 32 for o. -1 Suppose 0 = 105*v - 107*v - a + 18, v - 2 = 3*a. Solve -v*o - 162 = -98 for o. -8 Let w(t) = -2*t**3 - 42*t**2 + 99*t**2 + 3*t**3 + 4 - 62*t**2. Let o = 1 - -4. Let g be w(o). Solve 0 = z + g for z. -4 Let f(k) = -k**2 + 8*k - 11. Let w be ((5/(-2))/(1/2))/(-1). Let i be f(w). Suppose 5*g + i*z = 8, -3*g + 2 = -7*z + 8*z. Solve -6 = 3*c - g for c. -2 Let r = 3667 + -3657. Solve -21*u + r = -16*u for u. 2 Let v be 275/44 + 3 + (-65)/20. Let a(l) = 5*l - 10 - 13*l - 2*l**2 + l**2. Let w be a(-4). Solve -4*k + v = -w for k. 3 Let v be (55 - 40)*2/6. Let u = 30 + -24. Solve u*j - v*j - 5 = 0 for j. 5 Let u = -37512 + 37517. Suppose 3*s = 5 + 22. Solve -c = s - u for c. -4 Let d be (11 - 2) + (-4 - (6 + -5)). Let r be (1 - 2)*(-7 - -5). Solve 14 = r*t + d for t. 5 Let g(y) = -y**3 - 9*y**2 + 20*y - 17. Let h be g(-11). Suppose 3*m = 2*x + 8, h*x = -m - 5 + 36. Solve 3*s + m + 0 = 0 for s. -2 Suppose 4*o = -0*o + 6*o. Suppose 3*v - 13 = -5*i, 5*i = -5*v + 6*i + 31. Suppose o = 3*j - v, -3*j = 5*h - 0*j - 36. Solve -h = b - 3*b for b. 3 Let l = 6196 + -6148. Solve -l*d - d = 147 for d. -3 Let g = -105 - -142. Suppose g = 8*d + 13. Solve 2*j = -d*j for j. 0 Let m(o) = o**2 - 26*o + 69. Let h be m(24). Suppose h*s = 18*s + 9. Solve -s = 6*c - 3*c for c. -1 Let y be (39/26)/(1/(-22)). Let c = 33 + y. Suppose c = p + 6*p - 35. Solve p*b = -1 - 4 for b. -1 Suppose 0 = -25*a - 25*a + 8501 - 1101. Solve -8*k = -a + 188 for k. -5 Suppose 0 = 164*d - 3640 - 7840. Solve -28*w + 38*w = d for w. 7 Let m = -197 + 228. Let n = m - 14. Solve 9*r = -n - 28 for r. -5 Let f be ((-285)/1)/(0 + 4 - (-14 - -19)). Solve -w - 286 = -f for w. -1 Let t(r) be the first derivative of 2*r**3/3 - 4*r**2 + 6*r - 15. Let j be t(5). Suppose 12*g + 24 = j*g. Solve g = -k + 2 for k. -4 Suppose 3*y = -52 + 16. Let v(a) be the third derivative of a**5/60 + a**4/2 + 5*a**3/3 - 190*a**2. Let z be v(y). Solve 4*d = -z + 26 for d. 4 Let h(l) = -752*l + 3783. Let n be h(5). Solve -n*k + 48*k = 20*k for k. 0 Suppose 21*d - 90 = -24*d. Solve -3*m - d*m = -25 for m. 5 Let y(l) = -4*l**3 - 44*l**2 + 16*l + 144. Let b(m) = -m**3 - 11*m**2 + 4*m + 36. Let n(c) = -9*b(c) + 2*y(c). Let g be n(-11). Solve 4*w + g = 28 for w. 5 Let u be (-1 - (-14)/4)/(25/1150). Let m = u - 118. Let z be (3 + m)/((6 - 4) + -3). Solve z = -k - k for k. 0 Let f(a) = -2*a**2 + 4*a + 101. Let n be f(8). Suppose 8 - 39 = -n*l - 3*h, l - 3*h = -1. Solve 0 = 2*j - j - l for j. 5 Let h = -6331 - -6367. Solve 34*s - 43*s - h = 0 for s. -4 Let l = -6827 + 6833. Solve -23*j - 116 = l*j for j. -4 Let a(s) = 48*s + 6444. Let j be a(-134). Solve w = 12 - j for w. 0 Suppose 5*o - 1320 = -9*o - 6*o. Solve o*w - 1 = 67*w for w. -1 Let u(z) = z**2 + 39*z - 169. Let h(c) = -c**2 - 21*c - 81. Let v be h(-19). Let k be u(v). Solve -k = -r + 2 for r. 5 Let f(o) = -o - 17. Let s be f(-21). Suppose -3*x + 0*k = k - 5, 0 = 4*x - s*k - 28. Suppose 2*a = r - 2, -6*r = -x*r + 2*a + 2. Solve 2*b = -r*b for b. 0 Let f be 2*(-11)/((-132)/(-18)). Let a be f/(5*5/(-25)). Solve 6 = -5*j + a*j for j. -3 Let m(i) be the first derivative of i**4/4 + 11*i**3/3 - 2*i**2 - 132*i + 287. Let r be m(-10). Let z = 43 - 26. Solve 0 = -5*t + z + r for t. 5 Let f(s) = s**3 - 1 - 2 + 32*s**2 + 10*s - 25*s**2. Let c be f(-6). Let j = c - -30. Solve p = -j*p + 20 for p. 5 Suppose -8*w = -88 + 328. Let u be -8 - ((-5)/w - 13/6). Let j be 6 + u + (-14)/(-2). Solve 2*d + 1 = j for d. 3 Let l(n)
{ "pile_set_name": "DM Mathematics" }
598891 What comes next: 12272778, 12272774, 12272768, 12272760, 12272750, 12272738, 12272724? 12272708 What comes next: 182, -396, -1168, -1978, -2670? -3088 What comes next: -5145, -13922, -26333, -42378, -62057? -85370 What is the next term in -297505, -1189535, -2676157, -4757365, -7433153? -10703515 What comes next: -49, -632, -2369, -5878, -11777, -20684, -33217, -49994? -71633 What is next in 22241, 68882, 146609, 255416, 395297, 566246, 768257? 1001324 What comes next: 58, 854, 2378, 4630, 7610, 11318, 15754? 20918 What is the next term in -6156, -11412, -16668, -21924, -27180, -32436? -37692 What is the next term in -39765, -79764, -119763, -159762? -199761 What is next in -132815, -132473, -131553, -129767, -126827, -122445, -116333, -108203? -97767 What is next in -165528, -331117, -496706, -662295? -827884 What is the next term in -506959, -507109, -507307, -507547, -507823, -508129, -508459? -508807 What is the next term in -70, -473, -1396, -3043, -5618, -9325, -14368? -20951 What is the next term in -7596, -28943, -64512, -114303, -178316, -256551, -349008? -455687 What is next in 83176, 81747, 80318, 78889, 77460? 76031 What is next in -6104, -6237, -6446, -6731? -7092 What comes next: 4530, 3815, 2270, -393, -4462? -10225 What is the next term in 75629193, 75629195, 75629197, 75629199, 75629201? 75629203 What is the next term in -93, -209, -317, -363, -293, -53? 411 What is next in -653, -796, -181, 1570, 4835? 9992 What comes next: -10284448, -10284419, -10284364, -10284277, -10284152, -10283983, -10283764, -10283489? -10283152 What is next in -1812, -7230, -16252, -28872, -45084, -64882, -88260, -115212? -145732 What is next in 813, 1529, 2027, 2193, 1913? 1073 What is next in 2419905, 9679594, 21779075, 38718348, 60497413, 87116270, 118574919? 154873360 What comes next: -46699, -46600, -46501, -46402, -46303? -46204 What is next in -800205, -1600390, -2400575, -3200760, -4000945? -4801130 What comes next: -144107, -284788, -425469, -566150? -706831 What comes next: 4244, 6126, 8008, 9890, 11772, 13654? 15536 What is the next term in -1096104, -2192980, -3290620, -4389018, -5488168, -6588064, -7688700? -8790070 What is next in 7831, 15579, 23197, 30685, 38043? 45271 What is the next term in -11790484, -47161872, -106114178, -188647396, -294761520, -424456544? -577732462 What comes next: 7667, 7032, 6397? 5762 What comes next: 1216282, 2432544, 3648802, 4865056? 6081306 What comes next: 1029989, 2059971, 3089953, 4119935? 5149917 What is next in -100532, -804217, -2714224, -6433715, -12565852? -21713797 What comes next: -18722, -15950, -13184, -10424? -7670 What is next in -6818811, -6818779, -6818747, -6818715, -6818683? -6818651 What is next in -374981, -374908, -374835, -374762, -374689, -374616? -374543 What is the next term in 334784778, 334784779, 334784780, 334784781, 334784782? 334784783 What is next in -376942, -376943, -376944, -376945? -376946 What comes next: -40748, -81971, -123192, -164411, -205628, -246843? -288056 What comes next: 6115, 23599, 52739, 93535? 145987 What is next in -3006, -24322, -82232, -195036, -381034, -658526, -1045812? -1561192 What is next in -17131, -34049, -50967, -67885, -84803, -101721? -118639 What is the next term in 3466, 3119, 2778, 2449, 2138, 1851? 1594 What is next in 5831, 46344, 156025, 369368, 720867, 1245016? 1976309 What is the next term in -673941, -1347840, -2021739, -2695638, -3369537, -4043436? -4717335 What comes next: -4713328, -4713326, -4713324, -4713322? -4713320 What is the next term in 57593, 231696, 522311, 929438, 1453077, 2093228? 2849891 What is next in -35645, -71233, -106707, -142007, -177073, -211845, -246263, -280267? -313797 What is next in 6092, 6302, 6490, 6644, 6752, 6802, 6782, 6680? 6484 What is the next term in -77677472, -155354941, -233032410? -310709879 What comes next: -58930, -59031, -59132, -59233, -59334? -59435 What is next in -6225079, -12450225, -18675371, -24900517, -31125663? -37350809 What is the next term in -20898452, -20898456, -20898462, -20898470, -20898480? -20898492 What comes next: -283, -228, -93, 158, 561, 1152, 1967? 3042 What comes next: -48507, -97190, -145801, -194304, -242663, -290842? -338805 What comes next: -31253, -125174, -281703, -500840, -782585, -1126938, -1533899? -2003468 What is next in -76797286, -153594582, -230391878? -307189174 What comes next: -112133, -112129, -112125, -112121, -112117, -112113? -112109 What comes next: -6828, -54396, -183442, -434706, -848928, -1466848, -2329206, -3476742? -4950196 What comes next: 79267, 317062, 713399, 1268290, 1981747, 2853782, 3884407, 5073634? 6421475 What comes next: 37135935, 37135910, 37135869, 37135812, 37135739? 37135650 What is next in -258, -703, -1342, -2103, -2914? -3703 What is next in -973, -7215, -24171, -57199, -111657, -192903, -306295, -457191? -650949 What is the next term in -695057, -1390145, -2085259, -2780405, -3475589, -4170817, -4866095, -5561429? -6256825 What is next in -45741, -91365, -136989, -182613, -228237? -273861 What is the next term in -658680, -658676, -658670, -658662, -658652, -658640, -658626? -658610 What comes next: 4163, 8793, 13635, 18689, 23955, 29433? 35123 What comes next: -7670, -10628, -13586, -16544, -19502, -22460? -25418 What is the next term in 8540635, 17081226, 25621817, 34162408? 42702999 What is the next term in 95167, 178930, 262695, 346462, 430231? 514002 What is the next term in -231297, -231317, -231349, -231393? -231449 What is next in -539, -499, -397, -209, 89, 521? 1111 What comes next: -9098107, -18196229, -27294363, -36392515, -45490691, -54588897, -63687139? -72785423 What is next in -5942, -5951, -5940, -5909? -5858 What is next in -3169, -4783, -6423, -8083, -9757? -11439 What is next in 1053, 1361, 2153, 3657, 6101, 9713, 14721, 21353? 29837 What is the next term in 169302, 677196, 1523686, 2708772? 4232454 What is next in 1254, 625, -4, -633, -1262, -1891? -2520 What is next in -208118, -445528, -682928, -920312, -1157674, -1395008? -1632308 What comes next: 13435, 53622, 120603, 214378, 334947, 482310? 656467 What is next in -7579, -29849, -66089, -115579, -177599? -251429 What is next in -207501, -416046, -624601, -833172, -1041765, -1250386? -1459041 What is next in -16813, -38528, -60245, -81964, -103685, -125408, -147133? -168860 What is the next term in 1353, 2639, 3865, 5031, 6137, 7183, 8169? 9095 What is the next term in -4778522, -4778520, -4778518, -4778516, -4778514? -4778512 What is the next term in 8724, 8660, 8522, 8280, 7904, 7364, 6630? 5672 What is the next term in 1526548, 3053107, 4579668, 6106231, 7632796, 9159363? 10685932 What comes next: 2369, 18379, 61835, 146459, 285973, 494099, 784559, 1171075? 1667369 What is next in 101939025, 203878049, 305817073, 407756097, 509695121? 611634145 What is the next term in -53489, -106994, -160511, -214046, -267605, -321194? -374819 What comes next: 8773, 16671, 24569? 32467 What comes next: -5069, -34130, -113049, -266756, -520181? -898254 What is the next term in -47223, -94592, -141961? -189330 What is next in 1611, 2989, 4551, 6297? 8227 What comes next: -8387, -16917, -25703, -34877, -44571, -54917, -66047, -78093? -91187 What comes next: 975, 2026, 3773, 6216? 9355 What is the next term in -361, -4131, -14273, -33961, -66369, -114671, -182041? -271653 What is the next term in 135357, 270596, 405835, 541074? 676313 What comes next: -1943693, -3887288, -5830883? -7774478 What is the next term in -8609, -13818, -19027, -24236? -29445 What comes next: -43228273, -86456538, -129684803, -172913068? -216141333 What comes next: 2065, 4244, 6557, 9022, 11657, 14480? 17509 What is next in 1675831, 6703322, 15082473, 26813284, 41895755, 60329886, 82115677? 107253128 What is next in -331984, -1327970, -2987940, -5311888, -8299808? -11951694 What comes next: 213, 1599, 5357, 12675, 24741, 42743, 67869, 101307? 144245 What is next in 46000816, 92001634, 138002452, 184003270, 230004088? 276004906 What comes next: 2151, 4667, 7163, 9639, 12095, 14531, 16947? 19343 What is next in 28620045, 28620046, 28620047, 28620048, 28620049, 28620050? 28620051 What comes next: -453151, -451429, -449707? -447985 What comes next: 14979, 15092, 15277, 15534,
{ "pile_set_name": "DM Mathematics" }
) -1 c Let u = -4 + 7/2. Let t = -5.31 + 1.31. What is the nearest to 2/3 in u, 2/11, t? 2/11 Let y = -1.66 - -1.26. Which is the nearest to 4/9? (a) -2/3 (b) 0.1 (c) y b Let t = 209.4 + -209. What is the closest to 3 in t, 3, 0.3? 3 Let h = 75 - 77. What is the closest to 0 in -1/3, -0.4, h, -11? -1/3 Suppose -5*r = -5*m + 11 + 49, 48 = 4*m + 2*r. Let j = -1 + 1. Let x = -25997/7 - -3714. What is the nearest to 0 in x, j, m? j Let p be (2/(-3))/((-4)/3). Let x = -15731 - -15731.2. What is the nearest to x in 3/8, p, 3/4? 3/8 Let c(n) = -3*n + 65. Let v = 61 + -40. Let i be c(v). What is the nearest to 0 in -21/5, i, 1? 1 Let r be -10 + 11 - 5/(165/39). What is the nearest to -2/3 in r, -3, 0.02, -1/2? -1/2 Let o = -1539 + 1544. What is the nearest to -0.035 in 1, o, -1/2? -1/2 Let y = 34 + -37. Let q be -2 - 8/y - (-22)/(-33). Which is the nearest to -1? (a) q (b) 1 (c) -5 a Let j = -156/7 - -1674/77. Let h = -1379.6 - -1380. Which is the nearest to 0? (a) j (b) h (c) 0.3 c Let z be (1/2)/(1/(-16)). Let u be (-7)/z*(-50)/(-35). Which is the nearest to u? (a) -0.3 (b) 1/6 (c) -2 b Let v = 1 - -4. Let u = v - 5. Let i = 2 + u. What is the nearest to 1/2 in i, 1/4, 3/5? 3/5 Let k = 1567/2 - 783. What is the nearest to -19 in 5, -1/6, -4, k? -4 Let v = 0.204 + 4.796. Let q = 1.5 + -7.6. Let x = 6 + q. What is the nearest to x in 2/3, v, 2/7? 2/7 Let u be 4 + 11/(-66)*22. Which is the nearest to u? (a) -0.7 (b) 0.1 (c) 1/3 (d) -0.2 c Suppose 0 = -2*v - 2*u + 6, 2*v - 2 - 4 = -5*u. Which is the nearest to 0? (a) -5/3 (b) -4 (c) -0.2 (d) v c Let q(f) = f - 17. Let d be q(-7). Let s = -12 - d. Suppose -s = -2*z - 2*z + 4*w, -4*z + w + 15 = 0. What is the closest to -1 in 0, 0.5, z? 0 Let t(g) = g**2 + 19*g + 68. Let q be t(-13). Which is the nearest to q? (a) 0.1 (b) -0.2 (c) -0.4 c Let u = -1882.9 + 1883. What is the nearest to -0.1 in u, -0.1, 1, -4? -0.1 Let r = 0.2 - 0.3. Let p be (0/(12/3 - 6))/(-2). Which is the nearest to r? (a) 5 (b) -0.3 (c) p c Let r = -43 - -44. Let m(h) = -h - 5. Let o be m(-5). Which is the nearest to r? (a) o (b) -2/9 (c) -2/3 a Let w = -340/117 - -32/13. Let y = 0.1 - -0.04. Let t = 0.34 - y. What is the closest to -2/9 in -1/5, t, w? -1/5 Let j = 389 + -249. Suppose -7*i - j = -2*i. Let g = -31 - i. Which is the closest to -3/2? (a) g (b) -0.3 (c) -2/17 b Let c = -235 + 234.6. What is the nearest to 0 in 3, c, -14? c Let y be 2/2 + -5 + (-25 - -11). Let z be 1*(3 + 93/y + 2). What is the nearest to 1/5 in z, 0, 1/2? 0 Let q = -11.8 - -2.9. Let f = q - -9. Let x = 482 + -9156/19. What is the closest to -3 in f, x, -0.1? -0.1 Let v be (-4)/(0 - (5 + 25)). Suppose 2*r = -2*r - 4. Which is the nearest to r? (a) 0.3 (b) v (c) -1 c Let s = 2 - -3. Suppose -7*m + 2 = -8*m. Let r = 9/4 + m. Which is the closest to -3? (a) 2/9 (b) s (c) r a Let l be (-3)/(-12) + (-13445)/20. Let o be 360/l - (-2)/8. What is the closest to 0 in -5, -0.1, o? -0.1 Let v be (-1 + 0)*(-6)/15. Let x = -1.1455 + 8.1455. What is the closest to v in -2, 1/3, x? 1/3 Let l = -191 - -191. What is the nearest to -2/7 in 0.3, l, 5? l Let o = 43.4 - 43.2. What is the nearest to o in 0, -1/2, -8, -2? 0 Suppose -f = 1904 - 1899. What is the closest to -0.2 in f, 1, 4.3, -0.2? -0.2 Let z = -15550/9 + 1728. What is the nearest to 0.2 in z, -8, 0.2? 0.2 Suppose -l + 5*l = 4. Let f = -241/2 + 120. What is the nearest to l in -3, f, -2? f Suppose z = -3*z + 5*b - 16, 2*z + b - 6 = 0. Let d be -4 + 2 + 54/11. Let u = d + -191/77. What is the nearest to -3 in u, z, -1/11? -1/11 Suppose -f + 24 = f + 4*q, -3*q - 4 = -4*f. Let n be (f/(-7))/(6/(-105)). Which is the closest to 0? (a) 0.4 (b) n (c) -0.3 c Let z = -0.48 - -0.5. Let u = -0.4037 - -0.3037. Let p = -0.1 - 0.1. Which is the closest to u? (a) p (b) z (c) -2/9 a Let d be ((-4)/(-18))/(16/12). Let l(n) = n**3 + n - 5. Let i(h) = -h**2 - 10*h + 11. Let a be i(-11). Let u be l(a). What is the nearest to -1 in d, -0.2, u? -0.2 Let r = -36.2 + 35.2. Let k = 59 - 235/4. Suppose 1 = -o - 3. What is the nearest to k in 3/7, r, o? 3/7 Let p = 0.8691 - -3.1309. Let i = -1/3 + 5/3. Which is the closest to -0.5? (a) p (b) i (c) 3 b Let v = -264.72 + 264.7. What is the closest to v in 1, 2, 7? 1 Let r = 3/4 + -11/36. Let v = -5.463 + 1.463. Which is the nearest to 0? (a) -3 (b) r (c) v b Let w = 1.724 + -1.724. Which is the closest to 0? (a) w (b) 4 (c) -0.3 a Suppose 5*t - 14 = 64*u - 61*u, 0 = 2*t - 2. Which is the nearest to -4? (a) 3 (b) 2/19 (c) u c Suppose 293 - 77 = 24*s. Which is the closest to -2/9? (a) s (b) -0.3 (c) 4 b Let n be (-2)/(7/(-42)*10). What is the nearest to n in -4, 2, -0.5? 2 Let j = -3.99 + -0.01. Let d = -5165 + 5162. What is the closest to -2 in 0.5, j, d? d Let f = 0.05 + 0.25. Let q = 93 - 140.5. Let r = 48 + q. What is the nearest to -1/4 in f, -2/3, r? -2/3 Let s(u) = -24*u**3 + u**2 - 4*u - 6. Let y be s(-3). Let x be ((-72)/10)/(y/90). Let o = 14/17 + x. Which is the closest to -0.1? (a) -0.2 (b) o (c) -5 b Let d = -0.465 - -0.465. What is the closest to d in -6, -0.4, -1, 3? -0.4 Suppose -8*z = 4*z + 48. Let j = -0.13 + 5.13. Which is the closest to 0.2? (a) -3 (b) j (c) z a Let q = 0.313 + -0.013. Let f be 16/(-9) - 0 - -2. Which is the nearest to 1? (a) 1/5 (b) q (c) f b Let q = 0.3 + -0.4. Let m = 0.9487 + 0.0513. Which is the nearest to 0.8? (a) q (b) m (c) 4 b Let k be (285/(-50))/19 + 27/(-10). Which is the nearest to 29/4? (a) 4 (b) k (c) 1/2 a Let d(v) = -v**3 + 2*v**2 + 8*v + 5 + 5*v + 7*v**2 - 3*v. Let z be d(10). Suppose z*s + 8 - 33 = 0. Which is the nearest to -1? (a) s (b) 2 (c) -3 c Let d = -0.022 + 0.122. What is the closest to d in 2/9, 0.1, -22? 0.1 Let m = 3 + -2.9. Let f = -5796.1 - -5796. What is the closest to m in 3/7, -10, f? f Let x = 849 + -854. Which is the closest to 3/2? (a) 1 (b) x (c) -0.3 a Let n = -0.098 - -1.082. Let h = -0.016 - n. Which is the closest to h? (a) -1/3 (b) 0.3 (c) -5 a Let d = -7.9686 + -0.0314. What is the nearest to -0.1 in -0.05, -5, 0.2, d? -0.05 Suppose m + 10 = 3*u, 3*u - 3*m = m + 13. Which is the nearest to u? (a) -4 (b) 5/3 (c) 4 c Let f = 1/2 - 13/18. Let u(r) = -8*r - 5. Let y be u(7). Let m = y - -67. What is the closest to -1 in f, m, 5? f Let f = -1183 + 1181.2. What is the closest to f in -0.1, 7, 0.2? -0.1 Let q = -153.6 + 153.6. Which is the nearest to -1/2? (a) -1/3 (b) q (c) -3/7 (d) 0.68 c Let i = -0.04 - 5.96. Let s = 14.8 - 9.8. Let v = i + s. What is the closest to v in -5, -0.1, 0? -0.1 Let k = 172/3 - 58. Let j = -17 - -9. Let x = j - -5. What is the closest to -1 in x, k, -0.2? k Let m = -671 - -669. Which is the closest to m? (a) -2/5 (b) -1 (c) 1.7 b Let r = 1 - 4. Let v = 560 - 565. Which is the closest to -1? (a) r (b) 2/5 (c) v b Let y be (12 - 0)*-11*(-4)/176. Let r = 0.11 - 0.01. What is the nearest to 1 in -0.2, r, y? r Let l(j) = -2*j - 14. Let g be 3/6*4*-4. Let h be l(g). Which is the closest to 0.3? (a) h (b) -3/8 (c) 0 c Let u = 5.03 - 0.03. Let s = -5.74 + 5.74. What is the nearest to s in 0.4, u, 1/3? 1/3 Let m = 112 - 57. Let v = -55.2 + m. What is the nearest to v in -1, 3/8, -5? 3/8 Let r = -585 + 1763/3. What is the closest to 2/5 in 3, 4, -3, r? r Suppose 3*d = 3*f + 12, -5*d - 3*f - 7 = 13. Let q be (15/36)/(2*d/(-4)). Which is the nearest to -2? (a) 0.3 (b) 1/4 (c) q b Let z be (-150)/1425 - 17/19. Which is the closest to 0? (a) z (b) 0.04 (c) -2/5 (d) 0.3 b Let w = -0.21 - -0.11. Let y = -37 - -30. Let x = -11 - y. Which is the nearest to -0.1? (a) 1/9 (b) w (c) x b Let s = 0.3313 + 0.6687. Let b = 3 - 2.6. What is the nearest to 2/9 in s, b, 3? b Let o = -199/33 + 70/11. Let g = -2 + -2. Let i be (-2)/(-8)*4/(-3). Which is the closest to -2? (a) g (b) o (c) i c Let g = 9399370/343 - 17457860201/637980. Let q = g + -907/93. Let s = 117/4 - q. Which is the nearest to 1? (a) -3/7 (b) -2 (c) s c Let f = -0.1 - 0.9. Suppose 18*k - 26*k = 240. Let h be -2*k/(-24) - -4. Which is the closest to f? (a) h (b) 0.5 (c) 0.4 c Let r = -255 - -218.1. Let k = 41 + r. Let n = k - 1.1. Which is the nearest to -1? (a) n (b) 0 (c) 1 b Suppose 4*y = 3*y. Suppose 0 = s - 5*p - 395, 3*p - 4
{ "pile_set_name": "DM Mathematics" }
et c be (-2)/3*(5 + 7). What is the units digit of z(c)? 1 Let w(i) = 3*i**3 - 2*i**2 - 13*i + 30. What is the tens digit of w(4)? 3 Let q be (20/(-8))/(-5)*-22. Let i(m) = -m**2 - 11*m - 2. Let s be i(q). Let j(k) = -8*k. What is the tens digit of j(s)? 1 Suppose 5*o + 3*z - 25 = 0, -3*z - 3 = o + 4. Let f = -4 + o. Suppose -f*u = -105 - 15. What is the units digit of u? 0 Suppose 5*u + 0*u - 430 = 0. Let j = u - 24. What is the units digit of j? 2 Suppose 0 = 4*o - 8*o + 12. Let t be o/21 + 13606/14. What is the units digit of (t/(-60))/(1/(-5))? 1 Let w be 7*((-6)/9)/((-14)/(-18)). What is the units digit of w/2 + 0 - -8? 5 Suppose 4*p = 5*p + 61. Let x(m) = -35*m**2 - 2*m + 1. Let g be x(1). Let y = g - p. What is the units digit of y? 5 Suppose -3*b + 7 = 2*h, 4*b - 6 = -h - 0*b. Suppose -599 = -h*d + g, d - 5*g = 2*d - 294. What is the tens digit of d? 9 Let l = -207 - -391. Suppose 168 = 4*z - l. What is the units digit of z? 8 Let u(j) = j + 11. Let g be u(-6). Suppose 2*i + 2*h = -4, g*i = 3*i - 4*h - 14. What is the tens digit of 8/(i - (-5)/(-2))? 1 Suppose -j + 2*t = -6, -4 = -3*j + 2*t + 18. Suppose 95 = m + j. What is the units digit of m? 7 Suppose 0 = 17*f - 14*f - 1368. What is the tens digit of f? 5 Suppose 5*j + 2 = -3*c, 4 - 1 = -3*j. Let o be -1 - c - 6/(-3). Suppose -2*x + 0*x + 3*q + 5 = o, 0 = 5*x - 4*q - 16. What is the units digit of x? 4 Suppose 2*r + r = 15. Let p = -17 - -30. Suppose -3 = -a - 2*j + 3*j, -r*a = -4*j - p. What is the units digit of a? 1 Let q(s) = -4*s - 1. Let j be q(5). What is the units digit of (-462)/(-4)*(-14)/j? 7 Let y(g) be the third derivative of g**5/60 + g**4/12 - g**3 - 11*g**2. What is the units digit of y(-7)? 9 Let i be 2/8 + (-87)/12. Let t = i - -54. Let g = t + -13. What is the tens digit of g? 3 Let q be -2*3/(-3)*2. Suppose 3*w - 6 = -0, h + q*w = 166. What is the tens digit of h? 5 Let o = 4568 + -1994. What is the units digit of o? 4 Let a be -7 + 10 + 1 + (1 - 0). Suppose -4*r = 4*y - 2*r - 816, -a*y - 2*r = -1019. What is the tens digit of y? 0 Let n = 106 - 54. Suppose 3*z - n = -4. What is the units digit of (-24)/z*(-17 - 1)? 7 Let w(r) = -r**3 - 35*r**2 + 59*r + 211. What is the units digit of w(-39)? 4 Let g = -32 + 25. Let x(k) be the first derivative of -3*k**2 - 10*k + 4. What is the tens digit of x(g)? 3 Let c(q) = -q**3 - 2*q**2 + q - 3. Let n be c(-3). Let i be 1 - -3*7 - 1. Suppose i = 2*h - n. What is the units digit of h? 2 Suppose 4*q + 20 = 0, 5*d + 9 = -2*q - 1. Let z be (-12)/(-9)*(36 - d). Suppose z = 4*p - 2*p. What is the tens digit of p? 2 Let f(a) = a**2 + a - 1. Let d be f(-3). Suppose 3*n - d*n = 2*g - 52, -5*g = -2*n - 165. Suppose -g = 3*w - 103. What is the units digit of w? 4 Let f be 214/(-8) + 13/(-52). Let c = 40 + f. Suppose y - c = 12. What is the tens digit of y? 2 Let p = 68 + -67. Let g(s) = 231*s + 4. What is the hundreds digit of g(p)? 2 Let i be (-998)/6 - 24/36. Let f = i - -245. What is the tens digit of f? 7 Suppose -r - 3*v = -1 + 2, 2*v + 12 = 5*r. Let c(t) = 4*t**3 + 8*t**2 - 7*t**r + 4*t**3. What is the units digit of c(1)? 9 Let q be -2*-10*(-3)/(-12). Suppose -i - 24 = -q*i. Suppose j + i = 29. What is the units digit of j? 3 Let u(d) = -d**3 + 2*d**2 + 18*d + 4. What is the hundreds digit of u(-9)? 7 Let i be 32/8 + (0 - -6)/2. What is the units digit of 6/(-4 + i) - (1 + -4)? 5 Let t = -1121 - -1666. What is the hundreds digit of t? 5 Suppose 1 - 227 = 3*r - 5*c, -2*r - 4*c = 180. Let u be 1*-29 + ((-39)/(-3) - 14). What is the units digit of r/(-12) + (-5)/u? 7 Let p = 1499 - 248. What is the tens digit of p? 5 Suppose 3*s - 3*o + 0 = -18, 3*o - 12 = 0. What is the tens digit of ((-33)/55)/(s/190)? 5 Let z(v) = -v**3 - v**2 - 3*v + 1. Let x be z(0). Let c(m) = 35*m**3 - m. What is the tens digit of c(x)? 3 Suppose 0*w - 2547 = -2*w + 5*v, 5*w - 6353 = -2*v. What is the hundreds digit of w? 2 Let f(b) be the third derivative of 1/12*b**5 + 7*b**2 + 0 + 0*b - 5/12*b**4 + 2/3*b**3. What is the units digit of f(3)? 9 Suppose 0 = 14*h - 14085 + 4733. Let k = h + -473. What is the units digit of k? 5 Suppose 1200 = 3*r + 3*o, 0*o - 5*o = -15. What is the hundreds digit of r? 3 Let t = -169 + 309. What is the hundreds digit of t? 1 Let i be (-1)/(0 - 1)*(6 - 107). Let b = -37 - i. What is the tens digit of b? 6 What is the hundreds digit of (-1)/3 + (-15 - (-11840)/6)? 9 Suppose 14 + 22 = 12*v. Suppose 0*q = -2*q - 4*c + 14, 0 = -v*q - 5*c + 22. What is the units digit of q? 9 Let g(h) be the second derivative of 7*h**3/6 + 3*h**2 + 3*h. Let v be g(-4). Let z = -12 - v. What is the units digit of z? 0 Let y = 128 - 82. Let i = -11 + y. What is the units digit of i? 5 Suppose 9*w - 5*w - 16 = 0. What is the units digit of w/8 - (-2)/(8/398)? 0 Let g(c) = -c**2 + 7*c - 11. Let i be g(7). What is the tens digit of (-145)/i + 12/(-66)? 1 Let t(c) = 2*c**3 - 2*c**2 - c - 2. Suppose -5*q = -3*x, 3*x - 3*q - 2 = 4. Suppose -z - x = -7. What is the units digit of t(z)? 4 Let c(o) = -o + 11. Let k be c(-5). Suppose -4*j + k = 2*d, -3*j + 5 = 5*d - 21. Suppose -4*y = 4*r - 100, -d*y + 2*r + 110 = r. What is the tens digit of y? 2 Let c = -824 + 1817. What is the tens digit of c? 9 Suppose -56*z + 845 = -55*z - p, 3 = -p. What is the hundreds digit of z? 8 Suppose -3*n = -555 - 60. Let x = n + -117. What is the tens digit of x? 8 Suppose -5*n + 455 = 3*o + 2*o, 3*o - 5*n = 281. Suppose 0 = 2*y - 3*y + o. What is the tens digit of y? 9 Let q = 881 - 345. Suppose 0 = -5*j + 4*z + q, 516 = 5*j - 0*j + z. What is the units digit of j? 4 Let t(s) = -804*s**3 + 2*s + 2. What is the units digit of t(-1)? 4 Let g(w) be the second derivative of w**3/3 - 3*w**2 - 5*w. Let d be g(4). What is the units digit of 3 - (d + (3 - 7))? 5 Suppose -3*x + 2*x + 3*y + 35 = 0, x - 5*y = 35. Suppose -i + 54 = -x. What is the tens digit of i? 8 Let a(w) be the first derivative of 2*w**3/3 - 17*w**2/2 - 8*w - 24. What is the tens digit of a(15)? 8 Let t(i) = -i. Let l(r) = -8*r - 23. Let n(c) = -l(c) - t(c). What is the units digit of n(8)? 5 Let i = 643 - -76. What is the units digit of i? 9 Suppose 0 = 98*t - 89*t - 5967. What is the tens digit of t? 6 Let d be (-18)/12*328/(-3). Suppose -b - d = -5*b. What is the tens digit of b? 4 Let w(y) = y**3 - 12*y**2 + 40*y + 6. What is the tens digit of w(8)? 7 Let i(r) = -68*r**2 - 2*r + 6. Let z(w) = -69*w**2 - 2*w + 7. Let g(t) = -4*i(t) + 3*z(t). What is the units digit of g(1)? 4 Let n(z) = 13*z + 29. Let r(a) = 7*a + 15. Let v(o) = 6*n(o) - 11*r(o). Let l(k) = 3*k**2 + k. Let x be l(-2). What is the units digit of v(x)? 9 Let f = -15 - -11. What is the units digit of ((-2)/f)/((-18)/(-2412))? 7 Let i be (-6)/27 - 20/(-9). Suppose -4*q + 29 = -5*f, -i*q = 2*q - 4*f - 24. Suppose 4*k = -0*k + v + 165, 0 = -v - q. What is the units digit of k? 1 Let w = -266 - -474. Let v = w - 142. What is the units digit of v? 6 Suppose -b - 2 - 1 = 0. Let w = 14 - 13. What is the units digit of 20 + w/(b/(-9))? 3 Suppose b + 3*v - 485 = 0, b + 4*v - 513 + 31 = 0. Suppose 6*c - b = 112. What is the units digit of c? 1 Suppose 0 = 2*t + 2*m - 18, m + 14 = t - 1. Let v be t/18*24/(-1). Let k = 6 - v. What is the tens digit of k? 2 Suppose -3111 = -2*j + k, 4*k + 6141 = 4*j - 83. What is the units digit of j? 5 Suppose 189 = -3*n - 60. Let i = -23 - n. What is the tens digit of 3/(i/(-16))*-15? 1 Suppose -4253 = -2*b - t, -2*t - 8510 = -b - 3*b. What is the hundreds digit of b? 1 Let x(z) = z**2 + 6*z + 11. Let o be x(-3). Suppose -2*n + 0*n + 462 = o*d, -2*n + 3*d = -462. What is the tens digit of n? 3 Let x(i) be the first derivative of 2*i**2 - 5*i + 1. Let n be x(2). Suppose -5*j + n*o - 5*o = -93, -j = -5*o - 24. What is the tens digit of j? 1 Let v(d) = d**3 - 3*d**2 + 2*d - 6. Suppose 3*f + 1 = 13. Let y be v(f). Let j = 37 - y. What is the tens digit of j? 1 Let x(n) = -2*n**2 + 2*n. Let j be x(0). Suppose -g + 116 - 16 = j. What is the hundreds digit of g? 1 Let l(y) = y + 18. Let x = -23 + 29. Suppose -x*u + 65 = -u. What is the units digit of l(u)? 1 Let j(n) = n**2 - 21*n + 59. Let p be j(18). Suppose 2*v + 13 - p = 0, -4*x + 1152 = v. What is the tens digit of x? 8 Suppose 0 = 4*b - b - 9. Suppose 0 = -b*r + 5*t + 356,
{ "pile_set_name": "DM Mathematics" }
3 - d**2 - 4*d + 5*d + 0*d**2. Let x be 40/70 + 3/7. Let j be q(x). Round j to the nearest ten. 70 Let t(o) be the second derivative of 2*o**2 - 7/12*o**4 + 0 + 4*o + 1/20*o**5 + 0*o**3. Let l be t(6). Round l to the nearest ten. -30 Let h = 0.9 - 0.89972. Round h to four decimal places. 0.0003 Let u = -66 + -80. Let p = u - -38. What is p rounded to the nearest ten? -110 Let r = 0.27 + -1.37. Let f = r + 5.1. Let b = 3.999952 - f. What is b rounded to five dps? -0.00005 Let q(u) = 6*u**2 + 2*u + 2*u - 5*u**2. Let a be q(-5). Suppose a*f = 15, 3*l + 0*f + 12003 = f. What is l rounded to the nearest 10000? 0 Let n = -0.05 - 0.45. Let c = -0.496 - n. What is c rounded to three decimal places? 0.004 Let o(c) = 1954*c**2 - 18*c + 8. Let q be o(13). Round q to the nearest 100000. 300000 Let m = -0.58 + 10.28. Round m to the nearest integer. 10 Suppose -94574 + 16394574 = 10*u. Round u to the nearest one hundred thousand. 1600000 Let g be (0 - -2)/(3/12). Let p be (-9266)/(-22) - g/44. Suppose -5*q - 2*s + 504 + p = 0, 2*s - 364 = -2*q. Round q to the nearest ten. 190 Suppose u = -57449 + 219449. What is u rounded to the nearest ten thousand? 160000 Let w be (-687)/(3/1) - -4. What is w rounded to the nearest ten? -230 Let j = 5718 - 2718. What is j rounded to the nearest ten thousand? 0 Let w = 1085.9999549 + -1086. Round w to five decimal places. -0.00005 Let p(c) = -501*c**3 - 2*c**2 - 2*c - 4. Let u be p(-2). Round u to the nearest one hundred thousand. 0 Let j = 49.8999801 - 49.9. Round j to five dps. -0.00002 Let t = -4 + 3.9. Round t to 2 dps. -0.1 Let v = -18.1 - 5.19. Let z = v - -19.5. Let d = z - -3.6. What is d rounded to 1 decimal place? -0.2 Let s = -48 - -23. Let x = -24.99999802 - s. Round x to 7 dps. 0.000002 Suppose 3*c + 22 = -20. Let i be (c - -4)/(1/200000). What is i rounded to the nearest one hundred thousand? -2000000 Let r be (2/1)/4*0. Suppose 2*f + 3 - 7 = 0. Suppose -10600000 = -r*i - f*i. What is i rounded to the nearest 1000000? 5000000 Let d = -12870.4 + 12917.9668. Let z = d - -0.0332. Let h = -53 + z. Round h to the nearest integer. -5 Let s = 581135406 - 581135379.9999943. Let i = 52 + -26. Let t = i - s. Round t to 6 dps. -0.000006 Let i = 18 + -18.06. Round i to two decimal places. -0.06 Let i = -808.2726 + 808. Let c = i + 0.27. Round c to three decimal places. -0.003 Suppose 0 = 2*h + 7588545 + 37701. Let g = h + 1156413. Let y = -243290 + g. What is y rounded to the nearest one million? -3000000 Let u = -883411.71000023 + 883411.8. Let y = 0.09 - u. What is y rounded to 7 decimal places? 0.0000002 Let q = -17 + 17.006. What is q rounded to two dps? 0.01 Let t = 0.224 + 0.066. Let v = t - 0.289948. What is v rounded to five decimal places? 0.00005 Let f = 250.93 - 252. What is f rounded to one decimal place? -1.1 Let c = -0.240494 + 2.640478. Let k = c - 2.4. What is k rounded to five dps? -0.00002 Suppose 5*c = -3*f + 32, 2*f - 38 = -0*f + 5*c. Let l(x) = -x**2 + 10*x - 2. Let u be l(f). What is u rounded to the nearest ten? -60 Let n = 75 - 74.21. What is n rounded to 1 decimal place? 0.8 Let t = -26.058 - -26. Let z = t + 0.05714. What is z rounded to 4 dps? -0.0009 Suppose -d = -3*d + 16144. Suppose -x - 1272 = -d. What is x rounded to the nearest 1000? 7000 Suppose 2*t = -4*o + 4*t + 38, -5*o + 34 = 2*t. Let u be o/12*(-6)/(-2). Suppose -4*n = -u*q + 76, -5*q = -n - 73 - 135. Round q to the nearest ten. 40 Let l = -0.071 + 0.03. Round l to 2 dps. -0.04 Let p = -0.08 - 11.92. Let l = 11.999924 + p. Round l to five dps. -0.00008 Let u = 68 - 112. Let s = u + 43.999981. Round s to 5 decimal places. -0.00002 Let q = -2.5 - -1.95. Round q to 1 dp. -0.6 Let z = 26510268 + -15910268. Round z to the nearest one million. 11000000 Let n = -436930 + -763070. What is n rounded to the nearest one million? -1000000 Let r = -184905483 - -184905479.77630686. Let c = r + 167.22376614. Let x = c - 164. Round x to five dps. 0.00007 Let i be (293 - 2)*(-31)/(-3). Let f be 8386/(-4)*(-2 - 0). Suppose -c = -f - i. What is c rounded to the nearest 1000? 7000 Let n = 9 - 5. Suppose n*h = 4*m + 36399996, 2*m + 4*h = -28299791 + 10099787. Round m to the nearest one million. -9000000 Suppose -10*v - 6214105 = -5*v. Let r = -1972821 - v. What is r rounded to the nearest one hundred thousand? -700000 Let a(d) be the third derivative of -1469*d**5/12 - 11*d**4/24 - 4*d**3/3 + 4*d**2. Let p be a(-8). Round p to the nearest 100000. -500000 Let d = 2.96 + 0.34. Let a = d + -3.04. Round a to 1 dp. 0.3 Suppose -6 - 4 = 3*l - g, -8 = -2*g. Let x be 15*(3 + l/1). Suppose -u = -3*v - 14 - 1, 0 = 3*u + 3*v + x. Round u to 2 dps. 0 Let r = 4.3327 + -0.0937. Let u = r - -0.061. Let n = 4.3000102 - u. What is n rounded to 6 decimal places? 0.00001 Let q = -0.717 + 0.716999603. What is q rounded to 7 decimal places? -0.0000004 Let o = -4121.3 + 3952. Let z = o + 10.3. Let p = z - -158.999907. Round p to 5 dps. -0.00009 Let u = -338867.9926 + 338839. Let d = u - -29. What is d rounded to 3 dps? 0.007 Let f = -2.7 + -1.9. Round f to the nearest integer. -5 Let r = -13 - -12.95. Let l = 37 - 36.9504. Let j = r + l. Round j to 4 dps. -0.0004 Let u = -5 + 3.8. Let b = -6.2 - u. Let x = 5.0000064 + b. What is x rounded to six dps? 0.000006 Let j = -414 - -405.84. What is j rounded to zero dps? -8 Let t(v) be the third derivative of -v**6/120 - v**5/60 - v**4/24 + 35*v**3/2 + v**2. Let r be t(0). Let p = -145 - r. Round p to the nearest 100. -300 Let g = 21 - 20.99992. Round g to five decimal places. 0.00008 Let x = 420387.19 + -420397.19000065. Let n = -10 - x. What is n rounded to seven dps? 0.0000007 Let h = -0.03 + -26.97. Let k = h - -26.9987. Round k to 3 dps. -0.001 Let b = -2.20000091 + 2.2. What is b rounded to 7 decimal places? -0.0000009 Suppose -u - 2*t - 1721 = 85, 0 = -2*u + 2*t - 3594. What is u rounded to the nearest 1000? -2000 Let u = 0.0099988 + -0.01. Round u to 6 decimal places. -0.000001 Suppose -2102 = 5*x - 23452. Suppose x + 19330 = 4*a. Round a to the nearest one thousand. 6000 Let h(t) = -t**2 + 10*t - 6. Let w be h(7). Suppose s + a = w + 125, -2*a = 0. Suppose -b = s + 370. What is b rounded to the nearest 100? -500 Let q = 7.7 + -8. Round q to one dp. -0.3 Suppose 5*j + 63005 = -x, -4*x + 4*j = -16525 + 268521. Round x to the nearest ten thousand. -60000 Let x = 0.053 + 0.987. Round x to one decimal place. 1 Let o = 23047660 - 33559931. Let q = 10512279.999966 + o. Let w = 9 - q. What is w rounded to five dps? 0.00003 Let v(t) = t**2 - 3*t + 4. Let m be v(4). Suppose m*a - 320 = 3*a. What is a rounded to the nearest 10? 60 Suppose -4110 = 90*n - 93*n. What is n rounded to the nearest 100? 1400 Let u = -22 - -22.00011. What is u rounded to four dps? 0.0001 Let k = -10251 - -51121. Suppose 320870 - k = -v. What is v rounded to the nearest one hundred thousand? -300000 Let g(y) = 19001*y - 3. Let d = -2 - -1. Let q = 4 + d. Let x be g(q). Round x to the nearest ten thousand. 60000 Let b(x) be the third derivative of -5667*x**5/20 + x**4/8 - x**3/3 - 2*x**2. Let m be b(2). Round m to the nearest 10000. -70000 Let n = 3762228 + -3762098.65988. Let b = n - 131.34. Let m = 2 + b. Round m to four dps. 0.0001 Let l = -0.04 + -10.96. Let k = -11.0000072 - l. Round k to six dps. -0.000007 Let g = 250.000199 - 250. What is g rounded to 5 dps? 0.0002 Let a = 1.17 + -1.1700081. What is a rounded to six dps? -0.000008 Let q = -8.286 + 8. Let l = -0.28 - q. Round l to 2 dps. 0.01 Let l = -2.9 + -1.1. Let k = 938976 - 938980.00001. Let j = l - k. What is j rounded to 4 decimal places? 0 Let u = -0.18 - -0.187. Let y = -0.00699926 + u. What is y rounded to seven decimal places? 0.0000007 Suppose -36240 = 6*x - 2*x. Round x to the nearest 1000. -9000 Suppose 25*b = 21*b + 28040000. Round b to the nearest one hundred thousand. 7000000 Suppose -o - 2*o = 240495. Let j = 545165 + o. Suppose 4*h = h + j. What is h rounded to the nearest 10000? 160000 Suppose -4*s - 20 - 8 = 0. Let f(c) = 6*c - 5*c + 4286*c**2 + 2*c + 7. Let b be f(s). What is b rounded to the nearest 100000? 200000 Suppose y = -2 - 0. Round y to the nearest integer. -2 Let z = -1.7 + -6.3. Let d = -7.9999997 - z. Round d to 6 decimal places. 0 Let w(g) = -1744*g**2 - 8*g + 40.
{ "pile_set_name": "DM Mathematics" }
-2)/(-5) - 3825/(-125)? 21 Let z = -61 + 76. Suppose -4*j + 6 = -3*j. What is the remainder when z is divided by j? 3 Suppose 2469 = -8*v + 2693. What is the remainder when 100 is divided by v? 16 Let c = 4 - -1. Suppose -3*d + c*d - 128 = 0. Let m(f) = 38*f**2 - 301*f - 7. Calculate the remainder when d is divided by m(8). 13 Let j = 2037 - 1649. Calculate the remainder when j is divided by 10. 8 Suppose 0*f + 4*r + 15 = -5*f, r = 5*f - 10. Let x be f - (1 + 1 + 0). Calculate the remainder when 39 is divided by -3 + 1 + (x - -24). 18 Suppose -5*v + v = -12. Suppose 0 = -v*t + 2*t + 12. Calculate the remainder when (177/4 - (-6)/8) + 0 is divided by t. 9 Let u(g) = -g**2 + 2*g + 4. Let h be u(0). Let t be (6/5)/(h/(-20)). Calculate the remainder when (0 - -2)*(-141)/t is divided by 12. 11 Let l(j) = 3*j**2 + 12. Suppose 3*x - 2*x = 10. What is the remainder when l(-3) is divided by x? 9 Let k be -1 + 14 + (4/2)/(-2). Suppose 0 = -3*g + k, 0*g + 26 = 2*y + 3*g. What is the remainder when y is divided by 5? 2 Suppose -1111 = -36*m + 4109. What is the remainder when m is divided by 22? 13 Suppose -3*g = -15, -5*j - 3*g - 114 = -8*j. Let d(l) be the first derivative of -l**3/3 + 4*l**2 + 9*l - 4. Calculate the remainder when j is divided by d(7). 11 Suppose 5*u = u + 2*h + 128, 3*u - 95 = h. Let y = -777 - -869. Calculate the remainder when y is divided by u. 30 Suppose 1100 = 12*i + 152. What is the remainder when i is divided by (-24)/10*220/(-33)? 15 Let a(m) = 5*m**3 - m**2 - 2*m - 1. What is the remainder when a(2) is divided by 1342/77 - 18/42? 14 Let y(x) = -x + 10. Suppose -q + 1 = -8. Let u be y(q). Calculate the remainder when 28 is divided by 13 - (2 - (u - 2)). 8 Suppose 0 = 2*l + 3*o - 41 - 5, -20 = 5*o. Suppose -4*d + l = h, -70 = -2*h + 2*d + 2*d. What is the remainder when h is divided by 12? 9 Suppose 3*w + 80 = 2*c - 2*w, -c + 3*w = -41. Let f = 30 - 23. Let b = c - f. What is the remainder when b is divided by 16? 12 Let k = 64 - -2. Let c = 35 + k. Calculate the remainder when c is divided by 17. 16 Suppose 0 = t + 49*l - 48*l - 51, 4*l - 39 = -t. Calculate the remainder when 269 is divided by t. 49 Suppose p - 2*k + k - 97 = 0, 4*p = -k + 373. Let w = p - 27. Let y = -37 - -54. Calculate the remainder when w is divided by y. 16 Let v(m) = 9*m**2 - 3. Let k(l) = l**3 + l**2 + 2*l + 18. Let h be k(0). Suppose -d + h = -0*d. What is the remainder when v(2) is divided by d? 15 Let c(x) = 597*x**3 + x**2 - 3*x + 3. Calculate the remainder when c(1) is divided by 12. 10 Suppose -5*r + 160 = -3*r. Suppose 3*p - r = -p. Calculate the remainder when (6 + -1)*156/p is divided by 20. 19 What is the remainder when 39 is divided by 6/8 + 495/44? 3 Let y be 1 + (-12)/4 + 4. Suppose 0 = 3*j + y - 20. What is the remainder when 18 is divided by j? 0 Suppose -q + 2*v = -2*q - 8, 5*q + 2*v = 0. Suppose -q*a - 16 = -6*a. Suppose 4*z - 64 = a*l, 5*z - 3 - 69 = -3*l. What is the remainder when z is divided by 4? 3 Let d = 108 - 57. Suppose 3*y = -8*y + 165. What is the remainder when d is divided by y? 6 Suppose 0 = -4*v - v - 500. Let n = 175 + v. What is the remainder when n is divided by 19? 18 What is the remainder when (-18)/(-81) - (-925)/9 is divided by 63? 40 Let z = 6 + -20. Let g be ((-12)/z)/(30/105). Suppose -s - 5*l + 15 = -17, 3*s = g*l + 24. Calculate the remainder when 45 is divided by s. 9 Suppose 2*i = 7*a - 5*a - 24, 4*a - 54 = 2*i. Calculate the remainder when 491 is divided by a. 11 Let b = 1108 + 683. Calculate the remainder when b is divided by 28. 27 Suppose 0 = 3*g - 5*q - 203, -4*q - 14 = 2. What is the remainder when g is divided by 33? 28 Let h = -298 - -347. What is the remainder when h is divided by 13? 10 What is the remainder when 77 is divided by (2/3)/(35/315)? 5 Suppose -c + 11 = -w + 28, -4*c + 8 = 0. Suppose w = d - 13. Calculate the remainder when d is divided by (-4)/(12/(-9)) + 40/5. 10 What is the remainder when 526 is divided by (14 - (5 - (6 - -3))) + 5? 20 Let k = -1 + 1. Calculate the remainder when 39 is divided by k + ((-18)/(-1) - 4). 11 Suppose -2*d = -6*d - 5*x - 356, 5*x - 148 = 2*d. Let t = -59 - d. Let p(a) = a**2 + 2*a + 14. Calculate the remainder when p(5) is divided by t. 24 Let s = -105 - -236. Let t(y) = y**2 - 2*y - 2. Calculate the remainder when s is divided by t(-4). 21 Let b(m) = 8*m**2 - m - 1. Let y = -8 - -29. Calculate the remainder when y is divided by b(-1). 5 Suppose -7*n = -2*n - 925. Let a be (n/(-3) - -4)*3. Calculate the remainder when (-2)/4 - a/2 is divided by 29. 28 Suppose -46*b + 45*b + 108 = 5*x, -5*b - 2*x + 586 = 0. What is the remainder when b is divided by 24? 22 Suppose 0 = 2*n - 5*a - 21 - 1, 4*n + 2*a = 20. Let v(w) = 19*w + 1. What is the remainder when v(2) is divided by (3/n - 0)/((-4)/(-80))? 9 Suppose 0 = -7*g + 115 + 172. Calculate the remainder when 121 is divided by g. 39 Let d(m) = -m**3 + 3*m**2 - 2*m + 3. Let j be d(2). Suppose -4*k + j - 150 = -3*y, 4*y - 165 = -5*k. What is the remainder when y is divided by 12? 9 Let q(t) = 2*t + 24. Let d(j) = -j - 12. Let c(a) = -13*d(a) - 6*q(a). Calculate the remainder when 52 is divided by c(-2). 2 Suppose -15*f = -1151 + 101. Let w = f - 42. What is the remainder when 92 is divided by w? 8 Let a be -3 - 174 - (-3)/3. Let h = a + 264. What is the remainder when h is divided by 10? 8 What is the remainder when 2 is divided by -1*(50/175 + (-9)/7)? 0 Let a(b) = b**2 + 24*b - 9. What is the remainder when 26 is divided by a(-25)? 10 Suppose -133 - 133 = -7*j. Calculate the remainder when j is divided by 28. 10 Let f = 35 + -21. Suppose z - 73 = -32. What is the remainder when z is divided by f? 13 Suppose 35 = 24*m - 13. Calculate the remainder when 42 is divided by m. 0 Suppose 209 = -3*n + 8*n + 3*b, -4*b - 188 = -5*n. Calculate the remainder when 228 is divided by n. 28 Suppose -3*x - 72 = -2*x. Let a = -38 - x. What is the remainder when a is divided by 9? 7 Let x = 9 + -75. Calculate the remainder when ((-2)/((-4)/29))/((-33)/x) is divided by 8. 5 Suppose -6*j + 2*o = -j - 17, 0 = j - 4*o + 11. Suppose -j*k + 2*k = -819. Suppose 0 = -5*b + k - 63. Calculate the remainder when b is divided by 15. 12 Suppose -49*k + 60*k - 363 = 0. What is the remainder when k is divided by 5? 3 Suppose -3*x + 486 = -6*x. Let g(o) = o**2 + 38*o + 463. What is the remainder when g(-24) is divided by (-2)/5 - x/5? 31 Suppose 3*i - 79 = -4*y, -4*i - 3*y + 50 = -53. Suppose -6*j + i = -29. Let k(a) = -16*a + 2. Calculate the remainder when k(-2) is divided by j. 7 Let f(c) be the third derivative of -2*c**2 + 0 + 0*c - 1/8*c**4 + 13/6*c**3. Calculate the remainder when 23 is divided by f(0). 10 Let t be (-2 - -7)*(-1 - -2). Let n be (0/1)/(4 + -3). Suppose q - 19 + t = n. What is the remainder when q is divided by 4? 2 Let d(x) be the third derivative of x**5/60 - x**4/4 + 4*x**3/3 - x**2. Let u be (-1 - 1) + -2 + -2 + 12. Calculate the remainder when 13 is divided by d(u). 5 Suppose -3 = a, 11*c - 6*c + 5*a = -5. Calculate the remainder when c is divided by 2. 0 Let y be (-120)/(-32) - (-1)/4. Suppose 2*a = u - 58, 0 = 4*u - y*a + 141 - 381. What is the remainder when u is divided by 33? 29 Let j(k) = -2*k - 8. Let r be j(-6). Suppose -h - 2*x + 6 = 0, 0 = r*h - h - 2*x - 50. What is the remainder when 54 is divided by h? 12 Suppose 5*w - 39 = -m, -7 = -2*m - 3*w + 43. Calculate the remainder when 110 is divided by m. 15 Suppose -21*q + 43*q - 308 = 0. What is the remainder when 68 is divided by q? 12 Suppose 4*u = -4*u + 240. What is the remainder when (-4)/(20/(-755)) - 35/7 is divided by u? 26 Let n(x) = -13*x + 7 + 1 + 15*x - 2*x**2 + 4 - x**3. What is the remainder when 47 is divided by n(0)? 11 Suppose -5*x = g + 1 + 14, -5*g + 9 = -3*x. What is the remainder when 26 is divided by 21 - (-20)/12*x? 10 Suppose 3 = -3*u - 0*u, -2*n + 4*u + 52 = 0. What is the remainder when 93 is divided by n? 21 Let w(a) = -2*a**3 - 9*a**2 - 3*a - 6. Let m(r) = r**3 + 8*r**2 - 19*r + 5. Let g be m(-10). What is the remainder when w(g) is divided by 18? 16 Let c = 17 + -12. Suppose 3*o = -c + 47. What is the remainder when 81 is divided by o? 11 Suppose -105 = -i - 4*i. Let f(b) = b**2 - 3*b - 10. Let p be f(-8). Let d = 138 - p. What is
{ "pile_set_name": "DM Mathematics" }
-3*x + 5*r + 145375, -5*x - 24186 = -3*r - 266451. What is the units digit of x? 0 Suppose 120*l = 719565 + 1594395. What is the hundreds digit of l? 2 Suppose -4*g = 2*n - 6570, 13140 = -154*n + 158*n + 4*g. What is the units digit of n? 5 Let b = -22 - -47. Suppose f = -5*c + 79, -347 = c + f - 358. Suppose b*t - c*t - 200 = 0. What is the units digit of t? 5 Suppose x - 22 = -28. Let k be (-3 - x) + (4 - 2) + -225. What is the tens digit of (-3)/(-12) + k/(-16)? 1 Let k = 3021 + -4735. Let b = -761 - k. What is the hundreds digit of b? 9 Suppose -204*i + 202477 + 482088 = -169*i. What is the units digit of i? 9 Let h = 57847 - 25474. What is the thousands digit of h? 2 Let w be 9 + (6 - (-5 - (-1 - 15))). Suppose -l + 260 + 129 = -4*r, -1592 = -w*l + 4*r. What is the hundreds digit of l? 4 Let y(j) = -115*j + j**3 - 47*j**2 - 9*j - 49 + 69. What is the units digit of y(50)? 0 Let g(p) = 3*p**3 - 9*p - 7. Let l be g(-2). What is the tens digit of l + 1041 + -2 - 5/(-1)? 3 Suppose -2*i - i + 3165 = 0. Let n = i - 628. Let a = n - 221. What is the units digit of a? 6 Let p = -340 - -640. Let r = p - -181. What is the tens digit of r? 8 Let k(z) = z**3 - 6*z**2 - z + 6. Let p be k(6). Suppose p + 0 = 6*j. Suppose j*x - 2*x = -186. What is the units digit of x? 3 What is the thousands digit of ((-105)/(-12))/(80/239360)? 6 Let l(s) = 320*s - 1714. What is the thousands digit of l(13)? 2 Let n(f) = -f**3 - 29*f**2 - 30*f - 55. Let j be n(-28). Let t(r) = 631*r + 16. What is the units digit of t(j)? 7 Let a(x) = 144 + 6*x**2 + 131 - 259. Let y be a(-9). Suppose 219 + y = 7*s. What is the units digit of s? 3 Let m = 10 - -6. Suppose r - c - m = -2*r, -4 = 4*c. Suppose 4*x + 836 - 92 = 4*p, r*x - 574 = -3*p. What is the tens digit of p? 8 Let h(n) = -2*n**3 - 4*n**2 - 2*n + 15. Let r be 2/15 + 44/(-330). Suppose k = -5*t - 26, -3*t - t - 4*k - 24 = r. What is the units digit of h(t)? 5 Let o = 3104 - 1856. Let t = -871 + o. What is the units digit of t? 7 Let o be (2 - (5 - 8)) + (-709)/(-1). Suppose -o = -2*u + 2244. What is the tens digit of u? 7 Let v(r) = r**3 + r**2 + r - 1. Let d(l) = 3*l**3 + 13*l**2 - l + 25. Let w(j) = -d(j) + 4*v(j). Let n be w(9). Let o = 92 - n. What is the units digit of o? 6 Let b = -1642 - -6030. What is the units digit of b? 8 Let b be (-2)/(-4) - 30/(-20). Suppose 5*y - 1595 = -5*f, 3*y = -0*y - b*f + 952. Suppose 2 - y = -4*s. What is the tens digit of s? 7 Let p(f) be the first derivative of 4*f**2 - 2*f**2 - 14 + f**3 - 18*f - 2*f**2. What is the tens digit of p(8)? 7 Let y(z) = 2855*z - 1696. What is the hundreds digit of y(3)? 8 Let n(q) = 14*q - 3 + 7*q**2 + 7*q**2 - 13*q + 2*q**2 - 2*q**3. Let f be n(8). Suppose -13*u - f + 577 = 0. What is the tens digit of u? 4 Let g = 78 - 43. Suppose -31 = -3*n + g. Suppose n = t - z, -9 = -t - 2*z - 2. What is the tens digit of t? 1 Suppose -42508 = -4*z - 15*m + 11*m, -10615 = -z - 5*m. What is the units digit of z? 0 Let i(s) = -22*s**3 + 12*s**2 + 7*s - 105. What is the units digit of i(-10)? 5 Let z(n) = 2*n**2 + 155 - n**2 + 8*n - 99. What is the tens digit of z(-9)? 6 Let x = -714 + 5477. What is the units digit of x? 3 Suppose -2*y + 1592 = h - 5*h, -y + 5*h + 799 = 0. Let a = y + -551. What is the tens digit of a? 4 Suppose 0*v + 1256 = 8*v. Suppose 5*p = -2*n + 749, n + v = p - n. What is the tens digit of p? 5 Let y be (-2 + 3)*(6 + 0 - 6). Suppose c + 2*v + 0*v - 406 = y, -c + 386 = -2*v. What is the units digit of c? 6 Suppose 1602 + 1103 = -12*p + 425. Let j(s) = -s**3 - s + 5. Let v be j(0). What is the units digit of 12/(-54) - (p/9)/v? 4 Let w be -1*((-5)/(-1) + (-360)/(-9)). Let p(t) = 15*t**2 + 5*t - 1. Let n be p(-4). Let y = w + n. What is the tens digit of y? 7 Let b = 61 + -58. Suppose 4 = 4*y + 5*x - 0, b*y = -3*x + 6. Let o(g) = 3*g**2 + 2*g - 8. What is the tens digit of o(y)? 1 Let t = 254 + -69. Suppose g - t = 272. What is the tens digit of g? 5 Let f = 124 - 74. Let z be f - (-5)/(-3)*3. Suppose 3*p + z = 3*v, -3*v + 2*p + 30 = -12. What is the units digit of v? 2 Suppose 0 = 43*n - 16*n - 8127. Let y = 319 + n. What is the tens digit of y? 2 Let c = -24 - -31. Suppose 5*d = -5*w + 15, -5*w + 29 + c = -2*d. Let a = w - -13. What is the tens digit of a? 1 Let l = -20 + 159. Suppose -5*f + 3*j = -20, 0 = -32*j + 27*j. Suppose -d + l = -3*k - 10, 2*k = f*d - 576. What is the hundreds digit of d? 1 Suppose -87*v + 2100993 + 422887 = -42707. What is the ten thousands digit of v? 2 Suppose 2*r + 6 - 48 = 0. Suppose z - r = -4*t, -5*t - 15 = z - 10*t. Suppose z*f - 545 + 210 = 0. What is the units digit of f? 7 Suppose -c + 423 = -4*w, w + 3*c + 201 = -w. Let n = w - -274. What is the tens digit of n? 6 Let b be 11446/12 - 140/168. Let r = -481 + b. What is the hundreds digit of r? 4 Let c(k) = -8*k + 90. Let y be c(10). Let d(v) = 2*v**2 - 15*v + 63. What is the tens digit of d(y)? 1 Let d = 889 + -509. Let h be d/8*36/15. Let u = 195 - h. What is the tens digit of u? 8 Suppose -4*t = 5*k - 629, k = -0*k + 1. Let g be (15/(-2))/(1/10). Let j = t + g. What is the units digit of j? 1 What is the thousands digit of -21450*((-63)/(-6))/(-21)? 0 Suppose 151*u - 284739 = 2*u. What is the hundreds digit of u? 9 Let i(u) = -2*u + 42. Let r be i(20). Let c be r - (-48)/(3 + 0). Suppose -3*w - 4*h = -86, w + 3*h = 4 + c. What is the tens digit of w? 3 Let y be (-1)/((-9)/(-885)) + (-2)/(-6). Let u = 46 + y. Let o = 63 + u. What is the units digit of o? 1 Suppose -5*m = 2*i - 185, -2*m - 4*i = -4*m + 50. Suppose m*c - 31*c = 1832. What is the hundreds digit of c? 4 Let i(n) = n - 6. Let h be i(-2). Let y(v) = 12*v**2 + 8*v + 16. Let m be y(h). Suppose 3*z = -3*z + m. What is the hundreds digit of z? 1 Suppose 4*i - 9*i = -10. Suppose i*d - 3*d + 858 = a, 0 = -3*d + 2*a + 2584. What is the tens digit of d? 6 Suppose -i + j + 15336 = 0, 15316 = -27*i + 28*i + 4*j. What is the hundreds digit of i? 3 Let y(p) = 10*p**3 - p + 2. Let i be y(-2). Let b = -72 - i. What is the units digit of (33/3)/((-76)/20 + b)? 5 Let t be ((-33)/11)/(-1 - 13/(-10)). Let q = t + 37. Suppose -n + 89 = -q. What is the units digit of n? 6 Let q(m) = -645*m**3 - 640*m**3 + m - m**2 + 1275*m**3 + 1. What is the tens digit of q(-3)? 5 Let r be 3 - (-3 + 7 + -4). Suppose 4*i + x - 23 = 0, -5*x + 7 = -i - r. Suppose i*z - 54 = -z. What is the units digit of z? 9 Let v = 1496 + -938. What is the tens digit of 63 + -57 + v*1? 6 Let g(b) = -b + 9. Let s be g(6). Suppose -l + 0*u = u - 7, -l = s*u - 13. What is the units digit of (0 - 42/l)*(-12)/7? 8 Let t(b) = 64*b - 66. Let f be t(-10). Let a = f + 1427. What is the hundreds digit of a? 7 Suppose -2*t - g = -11229, -4*t + 23884 = g + 1425. What is the units digit of t? 5 What is the thousands digit of (11*(-8)/(-352))/((-887452)/443728 - -2)? 7 Let x(a) be the first derivative of 10*a**2 - 6*a + 11. Let i(g) = 79*g - 25. Let w(d) = 6*i(d) - 22*x(d). What is the units digit of w(7)? 0 Let a = 6521 + 2188. What is the units digit of a? 9 Suppose 354*u - 147*u - 2562660 = 0. What is the ten thousands digit of u? 1 Let g(k) = k - 6 + 6 + k**2 + 5*k**2 + 40*k**3 + 4. What is the hundreds digit of g(2)? 3 Let p = -89 - -79. What is the units digit of (2/3)/(-5*p/2475)? 3 Let r = 15555 + -7285. What is the units digit of r? 0 Suppose -q - 964 = -1541. Suppose 0 = -q*y + 573*y + 1816. What is the tens digit of y? 5 Suppose -35*j - 23*j + 1183432 = 0. What is the ten thousands digit of j? 2 Suppose -2*y + 6 = 0, -g - 3*g + 179 = 5*y. Let q = g - 37. What is the tens digit of 123 + 0 + q + 1? 2 Let d be 1 + 195/(-52) - (-1)/(-4). Let n(l) be the third derivative of -l**6/40 - l**5/30 + 5*l**3/3 + 6*l**2. What is the tens digit of n(d)? 7 Suppose 110 = 2*n - 522. Let p = n - -188. What is the tens digit of p? 0 Let q(m) = 1328*m - 33. What is the thousands digit of q(4)? 5 Let u(y) = 2561*y**2 + 2*y + 1. What is the hundreds digit of u(-1)? 5 Let d(j) = -j**2 - 3*j + 3. Let t be d(-3). Let n(s) = 9*s**2 - 120*s**t - s**2 + 121*s**3 + 19 - 5*s. What is the tens digit of n(-8)? 5 Suppose -85*l = -12*l - 6053890. What is the tens digit of l? 3 Suppose -111828 = -32*f - 32852. What is the tens digit of f? 6 Suppose -5*t = b - 1889, 5*t - 6*b + 3*b - 1
{ "pile_set_name": "DM Mathematics" }
s 5*j(n) + 8*l(n)? 2*n + 2 Let g(h) = 2*h + 2 - 2*h + 1 + 5*h. Let o(w) = -1. Calculate -g(y) - 3*o(y). -5*y Let f(p) = 19*p**2 - 16*p + 17. Let i(o) = 9*o**2 - 8*o + 8. Let d(g) = 2*f(g) - 5*i(g). Let h(l) = 13*l**2 - 15*l + 11. Calculate -11*d(u) - 6*h(u). -u**2 + 2*u Let k(s) = 3*s**2 + 1 + 0*s**2 - 4*s**2. Let n(p) = 0*p - 4*p + 1 + 9*p - 4*p. Determine -k(r) + 2*n(r). r**2 + 2*r + 1 Let d(h) be the second derivative of -2*h**3 + 4*h**2 - 20*h. Let s(w) = -8*w + 5. Give 5*d(l) - 8*s(l). 4*l Let r(f) = 5*f - 3. Let m(z) = -2*z + 1. Give -11*m(s) - 4*r(s). 2*s + 1 Let b(o) = -o - 1 + 1. Let g(p) = -p**2 + 3*p. What is 3*b(s) + g(s)? -s**2 Let d(x) = -2*x**2 - 22*x + 3. Let n(h) = h**2 + 11*h - 1. Determine -3*d(j) - 7*n(j). -j**2 - 11*j - 2 Let f(m) = -33*m**3 + 56*m**3 - 17*m - 34*m**3. Let c(y) = 7*y**3 + 11*y. What is 8*c(a) + 5*f(a)? a**3 + 3*a Let t(b) be the first derivative of b**2/2 + 1. Let o(z) = -6*z + 4. Let c(r) = -3*r + 2. Let s(d) = -5*c(d) + 2*o(d). Let l = 8 + -6. Give l*t(q) - s(q). -q + 2 Let x(q) = -q**3 + q**2 + q. Let n(a) be the second derivative of -a**5/4 + a**4/3 + a**3/2 - 7*a. Calculate n(b) - 3*x(b). -2*b**3 + b**2 Suppose 2*y - 36 = -y. Suppose 2*o = -2*o - y. Let d(s) = 0*s**2 - 3 - 6*s + 3*s - 2*s**2. Let u(h) = -6*h**2 - 8*h - 8. Calculate o*u(z) + 8*d(z). 2*z**2 Let u(j) = -j**2 + 15*j - 53. Let w be u(9). Let p(c) = 2*c**2 - c - 1. Let q(n) = n. Give w*q(i) - p(i). -2*i**2 + 2*i + 1 Let v = 138 - 135. Let m(r) be the third derivative of -r**2 + 0*r + 1/60*r**5 + 5/24*r**4 + 1/2*r**v + 0. Let s(x) = -2*x - 1. Determine -2*m(j) - 5*s(j). -2*j**2 - 1 Let n(k) = 5*k**3 - 3*k**2 + 26*k. Let q(l) = -2*l**3 + l**2 - 9*l. Determine -4*n(h) - 11*q(h). 2*h**3 + h**2 - 5*h Let n = 14 + -10. Suppose -3*u + 11 = 4*o, n*u + u = 4*o + 29. Let i(f) = 3*f**3 - 5. Suppose -12 + 4 = -4*z. Let d(w) = -w**3 + 2. Calculate u*d(q) + z*i(q). q**3 Let h(y) = 6*y + 2. Let p(v) = -7*v - 3. Let t(r) = -r**3 - 5*r**2 - 4*r - 1. Let x be t(-4). Let z be ((1 - x) + -3)*4. Calculate z*p(l) - 5*h(l). -2*l + 2 Let k(i) be the third derivative of i**6/30 + 7*i**4/24 - 8*i**3/3 - 6*i**2. Let g(t) = 3*t**3 + 5*t - 11. Give -7*g(b) + 5*k(b). -b**3 - 3 Let l(z) = 5. Let y(m) = m + 11. Calculate -13*l(f) + 6*y(f). 6*f + 1 Let q(f) = 3*f - 28. Let x(s) = s - 9. Determine -2*q(k) + 7*x(k). k - 7 Let w(f) = -2*f**3 - 7*f**2 - 7*f + 7. Let r(j) = -j**2 + j + 1. Let g(k) = -k**3 + 2*k**2 - 10*k - 2. Let p(s) = -g(s) - 6*r(s). Give -7*p(b) - 4*w(b). b**3 Let a(l) = -5*l**2 + 7*l - 5. Let i(m) = -7*m**2 + 13*m - 11. Let h(j) = -34*j**2 + 65*j - 56. Let g(n) = -2*h(n) + 11*i(n). Calculate -11*a(y) + 6*g(y). y**2 + y + 1 Let d(z) = 17*z**2 - 4*z - 4. Let n(v) = -35*v**2 + 9*v + 9. Calculate 9*d(h) + 4*n(h). 13*h**2 Suppose -11*u + 2 = 24. Let m(t) = -4*t + 3. Let w(v) = 5*v - 4. Calculate u*w(c) - 3*m(c). 2*c - 1 Let i(m) = -6*m + 2*m + 2*m - 11 - 13*m**2 - 5*m. Let z(y) = -7*y**2 - 4*y - 6. Give -6*i(l) + 11*z(l). l**2 - 2*l Let l(f) = 4*f - 4. Let q(r) = -10*r + 10. Let t(s) = 3*s**2 + 16*s + 10. Let y be t(-5). What is y*q(b) + 12*l(b)? -2*b + 2 Let w(u) = -1. Let k(f) = -4*f - 4. What is k(s) + 6*w(s)? -4*s - 10 Let t(g) = -6*g**2 + 3*g - 4. Let u(o) = 4*o**2 - 2*o + 3. Let p(f) = f + 11. Let i be p(-9). Suppose -m - 1 + i = 0, 5*k = -m + 36. What is k*u(h) + 5*t(h)? -2*h**2 + h + 1 Let x(f) = 15*f + 2. Let z(u) = 871*u + 117. Determine -117*x(n) + 2*z(n). -13*n Let y(p) = 17*p - 7. Let w(g) = 8*g - 3. Determine -13*w(h) + 6*y(h). -2*h - 3 Let t be (9/2)/3*-6. Let i(g) = -g + 5*g**2 + 4*g + 6*g - 2. Suppose 4*r = 14 + 2. Let x(q) = 2*q**2 + 4*q - 1. What is r*i(w) + t*x(w)? 2*w**2 + 1 Let p(k) = k**2 + 3. Suppose v = -0*v + 4. Suppose 0 = v*c - 9 - 3. Let a(d) = 2*d**2 + 5. Give c*a(z) - 5*p(z). z**2 Let p(f) = -10*f**3 - 2*f**2 + 2*f. Let o(r) = 9*r**3 + 3*r**2 - 3*r. Give 2*o(y) + 3*p(y). -12*y**3 Let k(x) = 5*x**2 + 5*x + 6. Let u(d) = d**2 + d + 1. Let i(v) = 3*v**2 + 3*v + 3. Let c(z) = 2*i(z) - 7*u(z). Suppose 0 = 5*t + 55. Give t*c(a) - 2*k(a). a**2 + a - 1 Let z(l) = 5*l**3 + 2*l - 6. Let x(q) = 13 + 0*q + q**3 - 4*q - 12*q**3. Let i(n) = n**2 - 3. Let m be i(4). Determine m*z(t) + 6*x(t). -t**3 + 2*t Let o(a) = -5*a**3 + 3*a**2 + 3*a + 3. Suppose -3*i + 8*i = 25. Let q(n) = -9*n**3 + 5*n**2 + 6*n + 5. Give i*o(y) - 3*q(y). 2*y**3 - 3*y Let b(g) = -11*g**3 + 11*g**2 + 5*g - 7. Let i(t) = 6*t**3 - 6*t**2 - 3*t + 4. Let p = -24 - -28. Give p*b(u) + 7*i(u). -2*u**3 + 2*u**2 - u Let v(h) = h**3 + 2*h**2 + 2*h - 2. Suppose -3*k = -2 - 1. Let c be (9 - k) + -3 + -1. Let j(r) = -2*r**3 - 3*r**2 - 3*r + 3. What is c*j(o) + 6*v(o)? -2*o**3 Let n(z) = -7*z**2 + 11*z - 5. Let x(q) = 3*q**2 - 5*q + 2. What is -4*n(v) - 10*x(v)? -2*v**2 + 6*v Let p(s) = 4*s**2 - 2*s + 2. Let a(z) = z**2 - z + 1. Calculate 2*a(g) - p(g). -2*g**2 Let x(z) = 7 + 4*z**2 + 3*z**2 - z**2. Let n(v) = 2*v**2 - 3*v + 2. Let s(p) = 5*p**2 - 7*p + 5. Let m(h) = -7*n(h) + 3*s(h). Determine 14*m(t) - 2*x(t). 2*t**2 Let h(w) = 67*w**2 + 17*w. Let n(s) = -11*s**2 - 3*s. What is -6*h(t) - 34*n(t)? -28*t**2 Let s(g) = -51*g**3 - 15. Let u(h) = h**3 + 1. Give s(n) + 15*u(n). -36*n**3 Let z(c) = c - 2. Let t be z(4). Let o(f) = -2*f - 1. Let y be 390/33 - (-4)/22. Let x(m) = 0*m**2 - 5 - m**2 - y*m + m. Determine t*x(u) - 11*o(u). -2*u**2 + 1 Let p(o) = -6 + 6 - 2 + 3*o. Let z(x) = -x. Let i(n) = -8*n + 2. Let s(q) = i(q) - 6*z(q). What is 3*p(l) + 4*s(l)? l + 2 Let m(k) = -6*k**3 - 20*k**2 - k + 8. Let l(i) = -2*i**3 - 7*i**2 + 3. Determine -8*l(n) + 3*m(n). -2*n**3 - 4*n**2 - 3*n Let j = -9 - -14. Let z(w) = -4*w**2. Let f(o) = 3*o**2. Calculate j*z(x) + 7*f(x). x**2 Suppose 0 = -f + 2*f + 5. Let k(l) = -10*l**3 + 16*l**2 + 16*l. Let z(w) = -3*w**3 + 5*w**2 + 5*w. What is f*k(m) + 16*z(m)? 2*m**3 Suppose g - 16 = 5*g. Let d(y) = y + 3. Let r(c) = 6. Let k(x) = -1. Let b(z) = -5*k(z) - r(z). Calculate g*b(t) - d(t). -t + 1 Let r(o) = -o**3 + o**2. Let n(l) be the second derivative of 1/20*l**5 + 0 + 2*l + 0*l**4 + 0*l**2 + 1/3*l**3. Suppose -4*b + 3 = -b. Calculate b*r(y) - n(y). -2*y**3 + y**2 - 2*y Suppose 2*h + 2*r + 4 = 0, -2*r + 6 = 4*h + 22. Let n(p) = 2*p - 4. Let q(x) = -2 - 3 + 2 + 2. Calculate h*q(g) + n(g). 2*g + 2 Let f(d) = -d**3 + 2*d**2 - 2*d - 2. Let h(x) = -7*x + 2*x**3 + 7*x**2 + 5*x**3 - 7 + x**3 - 12*x**3. Suppose -5 + 3 = -s. What is s*h(o) - 7*f(o)? -o**3 Let a(q) = -7*q + 3. Let p(z) = -z + 1. Suppose 6*n + w = n + 1, 2*w = 3*n - 11. Determine n*a(s) - 3*p(s). -4*s Let b(q) = -1 - 5*q + 6*q + 0*q. Let i(t) = -5*t + 3. Let n = 24 + -15. Suppose n + 6 = -5*d. What is d*b(u) - i(u)? 2*u Let c(w) = w**3 + w**2 - 4. Let p(z) = 2*z**3 + 3*z**2 - 9. Calculate -5*c(v) + 2*p(v). -v**3 + v**2 + 2 Let p(d) = -9*d - 2. Let k(w) = -36*w - 9. What is -2*k(l) + 9*p(l)? -9*l Let n(s) = 2*s + 3. Suppose 35 = 2*p + 5*m + 7, -4*m = -5*p + 4. Suppose -p*a - a = -5. Let r(z) = -1 + 0*z + 4 - a + 2*z. Give 2*n(i) - 3*r(i). -2*i Let p(q) = -q. Let k(i) = -2*i - 1. Let n(u) = u**2 - 9*u + 9. Let w be n(8). Calculate w*k(s) - 3*p(s). s - 1 Let o(g) = 65*g**2 - 25*g. Let h(c) = 8*c**2 - 3*c. Give -25*h(q) + 3*o(q). -5*q**2 Let l(s) = -11*s**2 - 15. Let b(w) = -6*w**2 - 7. Determine -13*b(f) + 6*l(f). 12*f**2 + 1 Let w(v) = -11*v**3 - v**2 - 5*v - 3. Let j(y) = -34*y**3 - 2*y**2 - 14*y - 8. Calculate -3*j(n) + 8*w(n). 14*n**3 - 2*n**2 + 2*n Let o(w) = -3*w + 31. Let h be o(10). Let q(i) = -i**2 - 1. Let v(a) = -2*a**2 - 5. Calculate h*v(j) - 3*q(j). j**2 - 2 Let h(c) = 1. Suppose 7*d - 3*d = -16. Let s be 4/2*(-7 - d). Let p(a) = -a**2 - 3. Let y = -2 + 0. Determine s*h(q) + y*p(q). 2*q**2 Let x(q) = q**3 + q**2. Suppose 0 = 5*u + w - 11, 5*u - 2*w + 5*w = 3. Suppose u*h + 2 + 1 = 0. Let d(y) = -4*y**3 - y**2. Determine h*d(z) - x(z). 3*z**3 Let n(u) = 3 + 5*u + 4 - 5. Let r(d) = -d + 1. Let p(c) = -8*c + 11. Let g(o) = p(o) - 6*r(o). Let v be g(4). Let z(s) = -s - 1. Give v*z(q) - n(q). -2*q + 1 Let z(c) = -5 + 5*c**2 - 11*c**3 + 12*c**3 - 10*c**3. Let x(n) = -4*n**3 + 2*n**2 - 2. Give -5*x(s) + 2*z(s). 2*s**3 Suppose -3 = p - 1. Let s(l) = -1. Let b(w) be the second derivative of w**4/24 - w**2 + 2*w. Let d(n) be the first derivative of b(n). Determine p*d(r) - s(r). -2*r + 1 Let k = -5
{ "pile_set_name": "DM Mathematics" }
169. 163 Calculate the remainder when 7987 is divided by 3979. 29 What is the remainder when 120102 is divided by 3753? 6 Calculate the remainder when 567012 is divided by 51. 45 What is the remainder when 661240 is divided by 47? 44 Calculate the remainder when 566 is divided by 152. 110 What is the remainder when 7152 is divided by 14? 12 What is the remainder when 2410 is divided by 55? 45 What is the remainder when 167462 is divided by 281? 267 What is the remainder when 3173624 is divided by 585? 584 What is the remainder when 84542 is divided by 14085? 32 Calculate the remainder when 2449 is divided by 2314. 135 Calculate the remainder when 2542 is divided by 2386. 156 Calculate the remainder when 3683 is divided by 729. 38 Calculate the remainder when 2306771 is divided by 27. 26 What is the remainder when 21541 is divided by 1092? 793 Calculate the remainder when 11653 is divided by 1648. 117 What is the remainder when 76735 is divided by 1182? 1087 Calculate the remainder when 1943 is divided by 16. 7 Calculate the remainder when 130 is divided by 43. 1 What is the remainder when 105743 is divided by 12? 11 Calculate the remainder when 11539 is divided by 1237. 406 What is the remainder when 5124 is divided by 1551? 471 Calculate the remainder when 1872 is divided by 254. 94 Calculate the remainder when 152507 is divided by 378. 173 Calculate the remainder when 49121 is divided by 2456. 1 What is the remainder when 1442 is divided by 155? 47 What is the remainder when 543 is divided by 489? 54 What is the remainder when 16145 is divided by 132? 41 Calculate the remainder when 260466 is divided by 1118. 1090 Calculate the remainder when 2014 is divided by 50. 14 Calculate the remainder when 181701 is divided by 60565. 6 Calculate the remainder when 8741 is divided by 2171. 57 What is the remainder when 6451 is divided by 2145? 16 Calculate the remainder when 45071 is divided by 28. 19 Calculate the remainder when 6510 is divided by 629. 220 Calculate the remainder when 52786 is divided by 89. 9 What is the remainder when 9535 is divided by 4763? 9 Calculate the remainder when 12577 is divided by 331. 330 What is the remainder when 6438 is divided by 88? 14 Calculate the remainder when 3330 is divided by 71. 64 Calculate the remainder when 30049 is divided by 1641. 511 What is the remainder when 159135 is divided by 7577? 18 Calculate the remainder when 542755 is divided by 157. 6 Calculate the remainder when 7928 is divided by 437. 62 Calculate the remainder when 53444 is divided by 13319. 168 Calculate the remainder when 138912 is divided by 646. 22 What is the remainder when 91619 is divided by 2082? 11 Calculate the remainder when 79436 is divided by 568. 484 What is the remainder when 43347 is divided by 6? 3 What is the remainder when 3964 is divided by 31? 27 What is the remainder when 650 is divided by 200? 50 Calculate the remainder when 6409 is divided by 6392. 17 What is the remainder when 5060 is divided by 298? 292 What is the remainder when 6926 is divided by 1688? 174 What is the remainder when 21767 is divided by 76? 31 Calculate the remainder when 564413 is divided by 43. 38 What is the remainder when 300055 is divided by 506? 503 What is the remainder when 69233 is divided by 28? 17 Calculate the remainder when 5858 is divided by 1438. 106 Calculate the remainder when 649 is divided by 624. 25 Calculate the remainder when 34577 is divided by 789. 650 What is the remainder when 500319 is divided by 106? 105 Calculate the remainder when 6417 is divided by 66. 15 What is the remainder when 200373 is divided by 552? 549 Calculate the remainder when 9729 is divided by 540. 9 Calculate the remainder when 2499 is divided by 243. 69 Calculate the remainder when 1238 is divided by 1172. 66 Calculate the remainder when 354916 is divided by 211. 14 Calculate the remainder when 5947 is divided by 1975. 22 Calculate the remainder when 1800 is divided by 489. 333 What is the remainder when 19666 is divided by 75? 16 Calculate the remainder when 10021 is divided by 40. 21 Calculate the remainder when 425901 is divided by 467. 464 Calculate the remainder when 11064 is divided by 1572. 60 Calculate the remainder when 10829 is divided by 35. 14 What is the remainder when 3051 is divided by 35? 6 Calculate the remainder when 1714 is divided by 602. 510 Calculate the remainder when 1576017 is divided by 262668. 9 What is the remainder when 451212 is divided by 90240? 12 Calculate the remainder when 561202 is divided by 21. 19 What is the remainder when 429933 is divided by 11? 9 Calculate the remainder when 4909 is divided by 1210. 69 What is the remainder when 82282 is divided by 5482? 52 Calculate the remainder when 144 is divided by 31. 20 Calculate the remainder when 43898 is divided by 143. 140 What is the remainder when 304133 is divided by 64? 5 Calculate the remainder when 2129 is divided by 52. 49 Calculate the remainder when 50709 is divided by 687. 558 What is the remainder when 219253 is divided by 190? 183 Calculate the remainder when 19431 is divided by 240. 231 What is the remainder when 253560 is divided by 503? 48 What is the remainder when 69725 is divided by 91? 19 Calculate the remainder when 24077 is divided by 24055. 22 What is the remainder when 6855 is divided by 2283? 6 Calculate the remainder when 8267 is divided by 173. 136 Calculate the remainder when 617926 is divided by 8. 6 What is the remainder when 33051 is divided by 11003? 42 Calculate the remainder when 6494 is divided by 2121. 131 What is the remainder when 23556 is divided by 915? 681 What is the remainder when 6771 is divided by 42? 9 What is the remainder when 138555 is divided by 430? 95 Calculate the remainder when 1817 is divided by 1031. 786 Calculate the remainder when 1921567 is divided by 1131. 1129 Calculate the remainder when 11640 is divided by 26. 18 What is the remainder when 126581 is divided by 14061? 32 Calculate the remainder when 2669 is divided by 136. 85 Calculate the remainder when 142964 is divided by 317. 314 What is the remainder when 2661 is divided by 1574? 1087 What is the remainder when 13016 is divided by 53? 31 What is the remainder when 95149 is divided by 643? 628 Calculate the remainder when 266378 is divided by 15. 8 Calculate the remainder when 874039 is divided by 29. 8 Calculate the remainder when 807 is divided by 135. 132 Calculate the remainder when 15843 is divided by 34. 33 What is the remainder when 27048 is divided by 388? 276 Calculate the remainder when 154615 is divided by 19326. 7 What is the remainder when 16671 is divided by 192? 159 What is the remainder when 198376 is divided by 91? 87 What is the remainder when 49585 is divided by 12395? 5 Calculate the remainder when 1150733 is divided by 777. 773 Calculate the remainder when 70320 is divided by 35122. 76 What is the remainder when 1522 is divided by 758? 6 Calculate the remainder when 2633515 is divided by 157. 154 Calculate the remainder when 2446536 is divided by 47. 45 What is the remainder when 8792 is divided by 170? 122 Calculate the remainder when 222412 is divided by 35. 22 Calculate the remainder when 6291 is divided by 69. 12 Calculate the remainder when 13807 is divided by 281. 38 What is the remainder when 26327 is divided by 2922? 29 Calculate the remainder when 73560 is divided by 608. 600 What is the remainder when 27612 is divided by 118? 0 Calculate the remainder when 1088068 is divided by 45336. 4 Calculate the remainder when 111871 is divided by 368. 367 What is the remainder when 380914 is divided by 11903? 18 What is the remainder when 5858 is divided by 1951? 5 What is the remainder when 17147 is divided by 2? 1 Calculate the remainder when 92353 is divided by 2368. 1 Calculate the remainder when 5989 is divided by 58. 15 Calculate the remainder when 9535 is divided by 532. 491 Calculate the remainder when 14739 is divided by 366. 99 What is the remainder when 63145 is divided by 14? 5 Calculate the remainder when 1165 is divided by 387. 4 What is the remainder when 21968 is divided by 186? 20 What is the remainder when 8956 is divided by 2091? 592 Calculate the remainder when 27046 is divided by 250. 46 What is the re
{ "pile_set_name": "DM Mathematics" }
e common denominator of -103/10008 and 67/16. 20016 Calculate the lowest common multiple of 1920 and 440. 21120 Calculate the smallest common multiple of 80 and 80. 80 What is the common denominator of 95/1398 and -99/2330? 6990 What is the smallest common multiple of 2476 and 8? 4952 What is the least common multiple of 426 and 5? 2130 What is the smallest common multiple of 56 and 98? 392 Calculate the smallest common multiple of 81 and 114. 3078 Find the common denominator of -43/16 and -73/2004. 8016 What is the common denominator of -11/68 and 45/476? 476 What is the smallest common multiple of 376 and 517? 4136 Find the common denominator of 61/32 and -35/1236. 9888 What is the common denominator of -17/344 and 47/40? 1720 What is the smallest common multiple of 3 and 1717? 5151 Calculate the common denominator of 38/949 and 105/1898. 1898 What is the lowest common multiple of 114 and 12? 228 Calculate the lowest common multiple of 1094 and 8. 4376 Calculate the least common multiple of 44 and 9. 396 What is the common denominator of -161/78 and 25/13? 78 Calculate the smallest common multiple of 120 and 135. 1080 Calculate the least common multiple of 252 and 252. 252 What is the common denominator of 169/600 and 137/1440? 7200 Find the common denominator of -103/574 and -23/246. 1722 What is the lowest common multiple of 1464 and 32? 5856 What is the common denominator of 11/75 and -40/141? 3525 Find the common denominator of -33/1099 and 28/785. 5495 What is the smallest common multiple of 129 and 645? 645 What is the least common multiple of 2769 and 351? 24921 Calculate the common denominator of 125/534 and 35/534. 534 Calculate the lowest common multiple of 14 and 32. 224 What is the common denominator of 9/190 and 52/3? 570 Calculate the lowest common multiple of 27868 and 5. 139340 Calculate the lowest common multiple of 27 and 174. 1566 Calculate the smallest common multiple of 1482 and 5928. 5928 Calculate the common denominator of 27/104 and 73/130. 520 What is the smallest common multiple of 72 and 99? 792 Calculate the lowest common multiple of 2666 and 774. 23994 Calculate the common denominator of 2/253 and -63/22. 506 What is the smallest common multiple of 10 and 511? 5110 What is the lowest common multiple of 84 and 42? 84 Calculate the common denominator of 33/620 and -83/62. 620 What is the common denominator of 29/756 and 167/30? 3780 What is the lowest common multiple of 2149 and 77? 23639 What is the common denominator of 68/483 and -44/189? 4347 What is the least common multiple of 24 and 144? 144 What is the least common multiple of 10 and 66? 330 Calculate the common denominator of -95/512 and -91/12. 1536 What is the least common multiple of 1254 and 30? 6270 Calculate the least common multiple of 42 and 210. 210 What is the lowest common multiple of 16584 and 16? 33168 Find the common denominator of -68/111 and -44/27. 999 Calculate the common denominator of 2/15 and -145/198. 990 What is the lowest common multiple of 33 and 110? 330 Find the common denominator of -67/20 and -115/588. 2940 Calculate the smallest common multiple of 1401 and 5. 7005 Find the common denominator of -107/18 and 67/8268. 24804 What is the common denominator of 83/308 and 49/286? 4004 Find the common denominator of -1/3 and -4/99. 99 Calculate the common denominator of -7/8003 and 73/4. 32012 Calculate the common denominator of -8/63 and -62/4851. 4851 What is the least common multiple of 21 and 378? 378 What is the lowest common multiple of 3308 and 12? 9924 Calculate the least common multiple of 224 and 18. 2016 Find the common denominator of -73/37630 and -13/20. 75260 Calculate the smallest common multiple of 5 and 1000. 1000 Find the common denominator of 50/3399 and 43/11. 3399 Find the common denominator of 28/1249 and -29/8. 9992 What is the common denominator of 4/3 and 107/6? 6 Calculate the common denominator of 79/30 and -23/132. 660 Calculate the smallest common multiple of 9 and 11. 99 Calculate the common denominator of -113/18 and -37/100. 900 What is the lowest common multiple of 445 and 801? 4005 Find the common denominator of 29/296 and 9/74. 296 What is the lowest common multiple of 6 and 124? 372 What is the least common multiple of 1308 and 2? 1308 Calculate the smallest common multiple of 18 and 12. 36 Find the common denominator of -61/56 and 59/168. 168 Calculate the common denominator of -43/26 and -23/286. 286 What is the smallest common multiple of 40 and 35? 280 Calculate the least common multiple of 4 and 190. 380 Calculate the least common multiple of 585 and 75. 2925 Find the common denominator of -16/99 and -34/675. 7425 What is the smallest common multiple of 40 and 10? 40 Find the common denominator of -71/42 and 4/35. 210 Find the common denominator of -17/8 and 42/905. 7240 What is the least common multiple of 9 and 1038? 3114 Calculate the smallest common multiple of 18 and 744. 2232 Calculate the smallest common multiple of 50 and 100. 100 Calculate the lowest common multiple of 9 and 111. 333 Calculate the lowest common multiple of 50 and 45. 450 Find the common denominator of -117/340 and -6/35. 2380 Calculate the least common multiple of 1968 and 78. 25584 Calculate the smallest common multiple of 55 and 1360. 14960 What is the common denominator of -31/1503 and -1/93? 46593 Calculate the least common multiple of 23 and 37. 851 Calculate the common denominator of -167/1890 and 26/9. 1890 Find the common denominator of -41/192 and -107/24. 192 What is the smallest common multiple of 1668 and 1529? 18348 What is the least common multiple of 10 and 4? 20 What is the least common multiple of 128 and 384? 384 Find the common denominator of -81/160 and -55/5696. 28480 Calculate the common denominator of 161/528 and -145/192. 2112 What is the common denominator of 71/429 and -17/299? 9867 Calculate the lowest common multiple of 18 and 96. 288 Find the common denominator of 9/20 and 149/354. 3540 Calculate the smallest common multiple of 184 and 138. 552 What is the lowest common multiple of 50 and 60? 300 What is the smallest common multiple of 54 and 144? 432 What is the least common multiple of 287 and 328? 2296 What is the common denominator of -23/1045 and 62/55? 1045 What is the common denominator of -7/2025 and -157/60? 8100 Calculate the least common multiple of 30 and 100. 300 Find the common denominator of -55/78 and -79/26. 78 What is the common denominator of 17/430 and -36? 430 Find the common denominator of -57/407 and -143/666. 7326 Calculate the lowest common multiple of 180 and 45. 180 Calculate the common denominator of 149/48 and 115/56. 336 Find the common denominator of 11/9 and 41/96. 288 What is the smallest common multiple of 8 and 81? 648 Calculate the common denominator of -81/22 and 133/48. 528 What is the least common multiple of 122 and 16? 976 What is the lowest common multiple of 3663 and 99? 3663 Find the common denominator of 65/1564 and -41/8. 3128 Calculate the least common multiple of 2820 and 150. 14100 Calculate the common denominator of 119/864 and -23/4752. 9504 Calculate the common denominator of -7/6 and -79/162. 162 Calculate the common denominator of -113/24 and 131/216. 216 What is the smallest common multiple of 2 and 11408? 11408 Find the common denominator of -85/172 and 55/989. 3956 What is the least common multiple of 32 and 20? 160 Calculate the smallest common multiple of 350 and 595. 5950 Find the common denominator of 25/7 and 27/47. 329 Calculate the common denominator of 55/16 and 87/280. 560 What is the lowest common multiple of 280 and 294? 5880 What is the lowest common multiple of 6 and 492? 492 Find the common denominator of -107/18 and 65/66. 198 Calculate the least common multiple of 27 and 111. 999 Calculate the common denominator of -2/15 and 38/5. 15 Calculate the smallest common multiple of 2466 and 22. 27126 Calculate the common denominator of -145/12 and -53/3148. 9444 Find the common denominator of -44/111 and -32/33. 1221 Find the common denominator of -64/65 and 61/988. 4940 What is the lowest common multiple of 172 and 344? 344 Calculate the smallest common multiple of 530 and 2809. 28090 What is the least common multiple o
{ "pile_set_name": "DM Mathematics" }
. Let b be a(h). Solve b = 2*s - 6*s + 12 for s. 3 Let f be (0/2 - 2)/((-22)/33). Suppose 13 = -f*d + 22. Solve 0 = 8*b - d*b - 25 for b. 5 Let g(r) = 4*r**2 - 2*r - 1. Let w be g(-1). Let k(l) = l**3 - 4*l**2 - 863*l + 1735. Let b be k(2). Solve b + w = -6*p for p. -1 Suppose 3*j = -y + 14, 96 = 111*y - 107*y + 2*j. Solve -1 = 27*n - y*n for n. -1 Suppose -3*r + 102 - 96 = 0. Solve 0 = -r*n + 13*n - 22 for n. 2 Let p(u) = 9*u + 560. Let z be p(-62). Let j be -3 - 1 - (0 + 1). Let v = j + 8. Solve 5 = -v*l - z*l for l. -1 Let g(r) = -r**3 - 10*r**2 + 15*r + 16. Suppose 3*c + 3*q + 27 = 0, 0*c + c = 3*q - 17. Let i be g(c). Let l = i - -38. Solve f = -4*f - l for f. -2 Suppose 0 = -1484*b + 1482*b + 28. Suppose -3*k - 2*i - 132 = 2*k, 3*i = -2*k - 44. Let q be ((-26)/(-4) - 1) + b/k. Solve -q = -3*o + 7 for o. 4 Let c = 140 + -132. Suppose -6*r = -c*r - 15*r. Solve r = -154*f + 153*f + 3 for f. 3 Let j = -807 - -842. Let b(x) = 4*x - 4. Let h be b(3). Solve -v + j = -h*v for v. -5 Suppose 4*x + 1 = -107. Let u be (-60)/x - (-12)/(-54). Let s(r) = 45*r + 182. Let l be s(-4). Solve -4 = -l*q - u for q. 1 Suppose -12*b + 451 + 227 = 210. Solve b + 66 = -15*q for q. -7 Let j(k) = -k**3 + 11*k**2 + 26*k + 4. Let p be j(13). Suppose -5*t = -4*y + 64, 11*y - 8*y - p*t - 48 = 0. Solve 30 - y = -7*z for z. -2 Let w(g) = g**2 + 92*g - 1228. Let x be w(-104). Solve -k + x*k + 38 = 0 for k. -2 Let j(k) = 10*k**3 - 2*k**2 + 6*k - 12. Let f be j(2). Solve 0 = 62*q - 258 + f for q. 3 Let g = -283 + 246. Let c be g/(-2) - (-144)/(-96). Solve 13*t = c*t + 16 for t. -4 Let m be 2*(-33)/22 + 2*(-6)/(-4). Solve m = -14*u + 22*u - 12*u for u. 0 Suppose 22*c + 195 = 61*c. Let m(z) = -2*z - 2. Let o be m(-2). Suppose -3*q = 3*n - 6, -n - q - o*q - 2 = 0. Solve 0 = c*x + 19 - n for x. -3 Let u be (-4)/(-24)*((-2 - 3) + 5). Solve u = 5*n + 2*n - 42 for n. 6 Let m be (3 + -3)/((-12)/(-8) + (-2)/(-4)). Solve m = 18*l - 0*l - 72 for l. 4 Let t(u) = 20*u - 35. Let w be t(3). Suppose -w*a + 54 = -7*a. Solve -2 = a*o + 7 for o. -3 Suppose 1988*h = 1981*h - 4662. Let t = h + 671. Solve -7 = -6*u + t for u. 2 Suppose 730 = 5*j - 5*m, m - 5 = -6. Let b = -145 + j. Solve -n + b*n = 3 for n. -3 Suppose -6 = -3*j - 3*w, 31*j + w = 26*j + 2. Suppose j = 5*s - 2*s - 3*l, 2*s = -l. Solve s = -5*o - 36 + 11 for o. -5 Suppose -2*m + a = 2, -m + 0*a - 12 = 5*a. Let k be ((-8)/20)/m - (-48)/10. Solve k*f = -9 - 1 for f. -2 Suppose -249 = -21*v + 45. Solve 64*x - v*x = 400 for x. 8 Suppose -16*j = 62 - 1406. Solve 29 = -11*u + j for u. 5 Let w(f) = 126*f + 3153. Let g be w(-25). Suppose 8 = 5*q - q. Solve q*j = -g*j for j. 0 Suppose 3*h = -5*t + 142, 3*h + 594 = -t + 620. Solve t*u - 90 = 142 for u. 8 Let o(u) = u + 5. Let x be o(-4). Let s = -169 - -176. Solve 3*m - s = -x for m. 2 Suppose -q = 3*a - 13, -3*q - 38 + 22 = -2*a. Suppose -10 + 12 = 3*l + 2*y, -a*l + y = -12. Solve h - l = 3 for h. 5 Suppose 0 = 2*s + 5*u - 11, 0 = -4*s + 2*u - u + 11. Let c(x) = 3 + 2*x + 0*x + 3*x - 6*x. Let l be c(1). Solve -l*a = -s*a - 4 for a. -4 Let u(a) = -36*a + 373. Let j be u(10). Solve j*o - 8 = 9*o for o. 2 Let m = -3064 + 3070. Solve 0 = q - m*q - 15 for q. -3 Let i be (13 - -1)/2*1. Suppose -2*k + 113 - 179 = 0. Let v = k - -39. Solve i*a + v = 4*a for a. -2 Let a(f) = f + 30. Let m be a(-5). Let y be (-3 + (-36)/(-20))/((-2)/m). Suppose -y*q = -5*l - 13*q + 8, l + 5*q - 7 = 0. Solve l*i + 0 = -2 for i. -1 Let o be 7/77 + (-380)/(-55). Solve -o*h - 21 = -0*h for h. -3 Let h be -3 + 213/69 - (-574)/(-966)*-15. Solve -6*m - 3 = -h*m for m. 1 Let b(n) = -n**3 - 12*n**2 - 12*n + 55. Let f be b(-8). Let r = f + 110. Solve 9 = r*c - 1 for c. 2 Let p be (-6)/3 + (10 - (4 - 2)). Suppose -p*f = 12*f. Solve f = -i - 2 - 2 for i. -4 Let k be 15*((-2)/5 + 4). Let o = 56 - k. Suppose 4*n + 6 + 0 = o*r, -12 = n - 4*r. Solve n = 5*l - 11 - 14 for l. 5 Suppose 4*t - 2*s = 1681 - 911, 5*t = -2*s + 994. Solve -4*q = -168 + t for q. -7 Let v be 1/(-6) + 91/42. Let g be 1/(-2)*(-722)/19. Let q be ((-3)/(-2))/(-4 - g/(-4)). Solve 0 = -v*p - q - 0 for p. -1 Let d = 8318 + -8313. Solve -d - 5 = -2*c for c. 5 Let d(p) = -3*p - 19. Suppose 5*g = m - 2, -m - 3 = -3*g - 1. Let a(l) = -3*l - 32. Let w be a(m). Let b be d(w). Solve 3*u - 4*u + b = 0 for u. 5 Suppose -3*m - 3*d - 28 = m, 0 = 2*m + d + 16. Let j = 13 + m. Suppose -j*y + 9*y = 0. Solve y = -u + 1 for u. 1 Suppose 206*d = -75*d + 17703. Solve 20*n + d + 37 = 0 for n. -5 Suppose -23*b + 811 + 2340 = 0. Solve b*f - 2 = 138*f for f. -2 Let s be 2 - (-254)/18 - ((-52)/9)/(-52). Solve 8*x - s*x + 48 = 0 for x. 6 Let g be -1 + -2 + 4 + -1. Suppose r = -5*x + 6, -r + 0*r = -4*x + 12. Let w be 3/(30/24 - 1/r). Solve 2 = w*d - g for d. 1 Let k = -14 - -17. Let i be (12/(-15))/(4/(-20)). Let h(y) = 2*y**2 - 8*y + 2. Let j be h(i). Solve -j = k*a - 8 for a. 2 Suppose -16*v + 1518 - 446 = 0. Suppose 0 = -5*c - 52 + v. Solve 5*y - c*y = 10 for y. 5 Suppose 2*n - 3*n + 2*d = 81, 288 = -4*n - d. Let f = n + 108. Suppose -f = -7*o - 7. Solve -3*u + o = -2 for u. 2 Let h(k) = -16*k**3 - k**2 + 2*k - 1. Let d be h(1). Let y = 10 + d. Let p = -6 - y. Solve p = -2*q - 2 + 4 for q. 1 Let x = 7361 - 7361. Solve -45*z + 25*z + 140 = x for z. 7 Let m(r) = 11*r**2 + 2*r - 18. Let y be m(-6). Solve y = 7*o + 345 for o. 3 Suppose -4*d + 16 = 0, 160 = -5*o + d + 1486. Suppose 13 = o*j - 265*j. Solve 14*y - 3 = j*y for y. 3 Let a be ((-60)/9 + 7)/(2/(-6)). Suppose 4*s = -s - 50. Let r be 0/s - (a - 2). Solve 0 = -r*y + 4*y - 1 for y. 1 Let a(z) = 15*z - 26. Let l be a(4). Suppose -9*n = -l*n + 75. Solve -6 = -u + n*u for u. -3 Suppose 7*n - 6*n - 282 = -282. Solve n = 9*q - 28*q + 38 for q. 2 Suppose -5*i + 2*i - 3 = 0. Let f be (0 + 0)*i/(-2). Suppose -4*v + 9*v + 5*g - 25 = f, 4*v - 10 = -2*g. Solve v = -5*c - 10 + 25 for c. 3 Let v(c) = 20*c - 472. Let d be v(25). Solve 12*i + 80 = -d*i for i. -2 Suppose 65*z = 64*z + m + 17, 3*z + 3*m = 15. Solve -12*a - 13 - z = 0 for a. -2 Let s be 47 - (31 - 1)/6. Suppose 30 = -s*r + 52*r. Solve r - 13 = 2*p for p. -5 Let p be 11988/78 + (-24)/(-78). Solve p = 21*b + 28 for b. 6 Let j be (-3 + 27/15)/(55/(-41250)). Solve -8*h - j = -884 for h. -2 Suppose 0 = 2*j + 25*j - 54. Suppose 2*o - 2*g = 0, 15 = j*o + 4*g + 3. Solve -2 - o = -4*d for d. 1 Suppose -p - 121 = -2*n, 0 = 4*n + 58*p - 61*p - 237. Solve -165*z + 174*z + n = 0 for z. -7 Let p = -2 + 6. Suppose 31*d = -12*d. Solve p*u + 4 = -d*u for u. -1 Suppose -40*g = -46*g + 1398. Solve -19*v + g = 271 for v. -2 Suppose -20 = -f - 3*f. Let x be 3*5*(-12)/(-9). Suppose x = -0*i + 5*i. Solve -3*z = -f - i for z. 3 Let w(z) = -5*z + 4. Let s(b) = -b**2 - b + 110. Let u be s(10). Let r be w(u). Let i(j) = 3*j**2 + j. Let p be i(1). Solve 0 = -r*n - 0 - p for n. -1 Suppose -5*i - 46 = j - 43, -2*j - 3*i + 15 = 0. Solve -4 - j = 4*w for w. -4 Suppose v = -5, 103 = 2*x - 52*v + 47*v. Suppose -3*l + 4*p - x = -6*l, 4*l - 51 = -5*p. Solve 0 + l = -3*i for i. -3 Let h(o) = -2*o**2 - 14*o - 16. Let n be h(-2). Suppose 2*y + 3*k = 36, 0*y = -y + 3*k. Solve n*i + y = i for i. -4 Let i = 59 + -54. Suppose 5*p - 3*p = 0. Let z = 20 + p. Solve 0*k = i*k + z for k. -4 Suppose -8*s = -7 - 94 - 99. Solve -10*t = s*t + 140 for t. -4 Suppose 4*l + 8 = 8*l. Suppose 5*w = -2*r - 26, r + l*r + 13 = -w. Let p be r - (3 + -7) - (-2 - 2). Solve 0*c + c = p for c. 5 Let s be 2/((44/16)/(-1) - -3). Let h = s + -6. Solve 0 = h*m + 13 - 3 for m. -5 Let n be ((-292)/(-219))/((-4)/402). Let j = 141 + n. Solve 6*y = j*y + 2 for y. -2 Let j be 5 - -2 - (1 - 3). Suppose -44*g + 210 = -2*g. Suppose g*n = -3*m + j, 6*n - 10*n - 5*m = -15. Solve n = -4*h - 0*h + 16 for h. 4 Suppose -2*w + 5*l - 212 + 52 = 0, -2*w = -2*l + 160. Let h = -64 - w. Let c = -4 + 5. Solve 5*n + h - c = 0 for n. -3 Let w be ((-8)/4 + 44)*(-7)/(-2). Solve 156*l - w*l + 45 = 0 for l. -5 Let i(q) = -2*q**2 + 8*q + 1244. Let d be i(-23). Solve -29 = -9*r - d for r. 3 Let t be 14/(-30)*(14 + -20)*(-20)/(-8). Solve t*v + 48 = 55 for v. 1 Suppose 0 = n + 4*n. Let w(f) = -f**3 + 12*f**2 - 35*f + 2. Let d = 16 - 9. Let i be w(d). Solve n = 3*k + i + 10 for k. -4 Suppose -2*k - 10 = -4*x, x + 2*k = 6*x - 14. Suppose -5*j + l - 9 = 0, -j - x*l + 6 = -9. Let w be
{ "pile_set_name": "DM Mathematics" }
many minutes are there between 1:06 PM and 10:01 PM? 535 What is 459 minutes after 7:20 AM? 2:59 PM What is 254 minutes after 11:21 AM? 3:35 PM How many minutes are there between 5:57 AM and 4:38 PM? 641 What is 539 minutes after 2:21 PM? 11:20 PM How many minutes are there between 10:59 PM and 1:31 AM? 152 How many minutes are there between 5:59 PM and 8:15 PM? 136 What is 568 minutes after 9:38 AM? 7:06 PM What is 279 minutes before 7:54 AM? 3:15 AM What is 617 minutes before 8:44 AM? 10:27 PM What is 549 minutes after 6:06 PM? 3:15 AM What is 149 minutes after 11:23 AM? 1:52 PM What is 139 minutes before 12:28 AM? 10:09 PM What is 445 minutes before 12:28 AM? 5:03 PM What is 35 minutes before 4:07 PM? 3:32 PM What is 576 minutes after 5:56 PM? 3:32 AM How many minutes are there between 3:02 PM and 9:42 PM? 400 What is 197 minutes before 1:28 AM? 10:11 PM How many minutes are there between 1:40 PM and 11:16 PM? 576 How many minutes are there between 2:25 AM and 4:01 AM? 96 What is 231 minutes before 12:11 PM? 8:20 AM How many minutes are there between 5:06 AM and 3:42 PM? 636 How many minutes are there between 5:33 AM and 10:31 AM? 298 How many minutes are there between 11:10 PM and 1:20 AM? 130 What is 104 minutes before 4:17 PM? 2:33 PM What is 355 minutes before 12:38 PM? 6:43 AM What is 597 minutes before 2:10 PM? 4:13 AM How many minutes are there between 2:45 AM and 8:02 AM? 317 What is 39 minutes before 5:25 PM? 4:46 PM How many minutes are there between 12:46 AM and 7:56 AM? 430 What is 96 minutes before 9:35 AM? 7:59 AM What is 217 minutes before 4:10 PM? 12:33 PM What is 387 minutes before 4:47 AM? 10:20 PM How many minutes are there between 7:59 PM and 9:01 PM? 62 What is 505 minutes after 4:15 AM? 12:40 PM What is 655 minutes after 10:52 PM? 9:47 AM What is 585 minutes before 1:34 PM? 3:49 AM How many minutes are there between 12:01 PM and 12:03 PM? 2 What is 705 minutes before 2:00 AM? 2:15 PM How many minutes are there between 11:37 PM and 8:46 AM? 549 How many minutes are there between 1:38 AM and 7:15 AM? 337 How many minutes are there between 3:08 PM and 1:49 AM? 641 What is 664 minutes after 2:11 AM? 1:15 PM How many minutes are there between 4:14 PM and 11:04 PM? 410 How many minutes are there between 2:29 AM and 11:14 AM? 525 How many minutes are there between 4:05 AM and 10:04 AM? 359 What is 526 minutes before 1:59 PM? 5:13 AM What is 63 minutes before 12:35 PM? 11:32 AM How many minutes are there between 11:15 AM and 1:22 PM? 127 How many minutes are there between 11:03 PM and 4:06 AM? 303 What is 646 minutes before 1:22 PM? 2:36 AM What is 12 minutes after 11:03 AM? 11:15 AM What is 237 minutes before 6:14 PM? 2:17 PM How many minutes are there between 7:55 AM and 7:39 PM? 704 How many minutes are there between 7:34 AM and 9:40 AM? 126 How many minutes are there between 9:38 AM and 11:33 AM? 115 How many minutes are there between 4:34 PM and 2:25 AM? 591 How many minutes are there between 5:48 PM and 4:35 AM? 647 What is 627 minutes before 9:18 AM? 10:51 PM What is 320 minutes after 9:58 AM? 3:18 PM How many minutes are there between 12:10 AM and 1:47 AM? 97 What is 302 minutes before 6:05 AM? 1:03 AM How many minutes are there between 7:18 PM and 1:30 AM? 372 How many minutes are there between 1:09 PM and 9:03 PM? 474 What is 623 minutes after 12:50 AM? 11:13 AM What is 286 minutes after 9:49 AM? 2:35 PM What is 557 minutes before 2:10 AM? 4:53 PM How many minutes are there between 11:17 PM and 12:45 AM? 88 What is 418 minutes after 10:04 AM? 5:02 PM How many minutes are there between 4:13 PM and 10:39 PM? 386 What is 359 minutes after 9:11 AM? 3:10 PM How many minutes are there between 8:16 AM and 1:38 PM? 322 What is 295 minutes before 8:05 AM? 3:10 AM How many minutes are there between 2:33 PM and 8:01 PM? 328 What is 612 minutes before 6:09 AM? 7:57 PM What is 371 minutes after 6:37 AM? 12:48 PM What is 41 minutes after 3:21 AM? 4:02 AM What is 423 minutes before 12:46 PM? 5:43 AM How many minutes are there between 2:53 AM and 12:36 PM? 583 What is 470 minutes after 2:37 PM? 10:27 PM What is 171 minutes after 1:48 AM? 4:39 AM How many minutes are there between 10:40 PM and 3:45 AM? 305 What is 662 minutes before 9:57 PM? 10:55 AM What is 714 minutes after 5:04 AM? 4:58 PM What is 355 minutes after 4:22 AM? 10:17 AM How many minutes are there between 9:45 AM and 12:18 PM? 153 What is 289 minutes after 6:59 AM? 11:48 AM What is 327 minutes before 12:14 AM? 6:47 PM What is 71 minutes after 5:35 PM? 6:46 PM What is 524 minutes before 11:09 AM? 2:25 AM What is 60 minutes before 2:45 AM? 1:45 AM How many minutes are there between 5:54 PM and 10:06 PM? 252 What is 366 minutes before 7:25 PM? 1:19 PM What is 204 minutes before 12:11 AM? 8:47 PM What is 597 minutes after 2:59 AM? 12:56 PM What is 145 minutes after 7:11 PM? 9:36 PM How many minutes are there between 7:00 AM and 3:22 PM? 502 What is 154 minutes before 11:46 PM? 9:12 PM How many minutes are there between 7:06 AM and 2:53 PM? 467 How many minutes are there between 12:31 AM and 3:05 AM? 154 What is 305 minutes before 10:18 PM? 5:13 PM What is 313 minutes before 11:52 PM? 6:39 PM How many minutes are there between 4:36 PM and 11:07 PM? 391 What is 197 minutes before 4:44 PM? 1:27 PM What is 708 minutes after 5:39 AM? 5:27 PM How many minutes are there between 11:58 AM and 3:03 PM? 185 How many minutes are there between 7:58 AM and 12:24 PM? 266 What is 67 minutes after 11:25 PM? 12:32 AM What is 419 minutes before 4:37 PM? 9:38 AM How many minutes are there between 9:38 AM and 10:28 AM? 50 How many minutes are there between 4:34 AM and 6:49 AM? 135 What is 641 minutes before 7:48 PM? 9:07 AM How many minutes are there between 8:52 AM and 4:04 PM? 432 What is 38 minutes before 10:51 AM? 10:13 AM How many minutes are there between 9:50 AM and 2:59 PM? 309 What is 165 minutes before 8:48 PM? 6:03 PM What is 482 minutes after 2:48 PM? 10:50 PM What is 49 minutes before 1:19 AM? 12:30 AM How many minutes are there between 10:18 AM and 10:27 AM? 9 What is 439 minutes after 4:35 AM? 11:54 AM What is 44 minutes before 2:54 AM? 2:10 AM What is 491 minutes after 11:53 PM? 8:04 AM How many minutes are there between 3:47 AM and 12:33 PM? 526 What is 627 minutes after 6:45 PM? 5:12 AM How many minutes are there between 1:33 PM and 8:31 PM? 418 What is 525 minutes before 4:19 AM? 7:34 PM What is 318 minutes before 11:15 PM? 5:57 PM How many minutes are there between 5:29 PM and 10:42 PM? 313 How many minutes are there between 8:46 AM and 2:18 PM? 332 What is 454 minutes before 10:34 PM? 3:00 PM What is 19 minutes before 1:21 AM? 1:02 AM How many minutes are there between 3:45 AM and 1:37 PM? 592 How many minutes are there between 7:43 PM and 6:50 AM? 667 How many minutes are there between 11:19 AM and 7:59 PM? 520 How many minutes are there between 2:13 AM and 1:59 PM? 706 How many minutes are there between 6:39 PM and 12:55 AM? 376 How many minutes are there between 7:54 PM and 10:30 PM? 156 What is 145 minutes after 9:47 AM? 12:12 PM What is 583 minutes before 6:57 PM? 9:14 AM What is 420 minutes before 7:11 AM? 12:11 AM How many minutes are there between 3:05 AM and 1:41 PM? 636 What is 172 minutes before 1:31 AM? 10:39 PM How many minutes are there between 3:47 PM and 12:39 AM? 532 How many minutes are there between 11:19 AM and 4:40 PM? 321 What is 705 minutes after 4:01 PM? 3:46 AM How many minutes are there between 6:34 PM and 5:44 AM? 670 What is 323 minutes after 6:24 AM? 11:47 AM How many minutes are there between 12:56 AM and 9:59 AM? 543 What is 599 minutes after 4:26 AM? 2:25 PM What is 366 minutes before 8:13 PM? 2:07 PM How many minutes are there between 10:07 PM and 11:49 PM? 102 What is 448 minutes after 8:48 PM? 4:16 AM How many minutes are there between 5:23 AM and 2:18 PM? 535 What is 462 minutes after 7:30 PM? 3:12 AM What is 582 minutes after 5:05 AM? 2:47 PM How many minutes are there between 7:19 AM and 6:05 PM? 646 What is 266 minutes after 1:07 PM? 5:33 PM What is 490 minutes before 5:29 PM? 9:19 AM What is 692 minutes before 1:00 AM? 1:28 PM What is 11 minutes before 5:46 AM? 5:35 AM What is 127 minutes after 1:48 PM? 3:55 PM What is 354 minu
{ "pile_set_name": "DM Mathematics" }
n = -109 - k. What is the remainder when n is divided by o? 12 Suppose -4*x - c = -25, -2*x - 4*c = -13 - 3. Calculate the remainder when 39 is divided by x. 3 Let j = -105 + 154. Let l be 2/(-4)*-2*-19. Let s = -6 - l. What is the remainder when j is divided by s? 10 Suppose -7 = -3*x - 5*d, -x - 2*d - 1 = 3*d. What is the remainder when x/10 + (-63)/(-5) is divided by 1*-3*17/(-51) + 7? 5 Calculate the remainder when (4 - -4) + -24 + 333 is divided by 38. 13 Let q = 68 - 20. Let b = -33 + q. Calculate the remainder when 43 is divided by b. 13 Let b(p) = -46*p**3 + p**2 + p + 1. Suppose -2*r + 23 = 5*g - 4*r, r = 3*g - 14. What is the remainder when b(-1) is divided by g? 2 Let p = 1102 - 1097. Calculate the remainder when 24 is divided by p. 4 Let t = 481 - 470. Let n = 79 - 37. Calculate the remainder when n is divided by t. 9 Suppose -25*f + 425 = -0*f. What is the remainder when 29 is divided by f? 12 Let b(r) = -r**3 + 13*r**2 - r + 26. What is the remainder when b(12) is divided by 77? 4 Suppose z - 91 = -5*o - z, 3*z = -6. Let m = 282 - 250. Let p = m - o. What is the remainder when 23 is divided by p? 10 Let t(m) = -m**3 + 8*m**2 - 6*m + 4. Suppose -156 + 4 = -2*f. What is the remainder when f is divided by t(7)? 10 Suppose 3*z = 2*d + 65, 17 = -5*z + 6*z + 4*d. Calculate the remainder when 333 is divided by z. 18 Let f(w) = -7*w - 2. Let m = 22 - 15. What is the remainder when m is divided by f(-1)? 2 Let d(k) = -k - 12. Let f be d(-17). Suppose -30 - f = -5*t. What is the remainder when 11 is divided by t? 4 Let u = 4 - -9. Let s(f) = -10*f + 7. Let w be s(-6). Let m = -44 + w. What is the remainder when m is divided by u? 10 Calculate the remainder when 135 is divided by (36/10)/((-3159)/(-520) - 6). 39 Let l be 4*(-20)/(-8) + -2. Suppose g + 2*x = l, 5*x - 28 = -4*g + 10. What is the remainder when 45 is divided by g? 9 Suppose 139 = 23*j - 22. Calculate the remainder when 10 is divided by j. 3 Suppose 2*u + 4*j = 16, u + 2*j + 2*j = 6. Let s = -23 + 52. Calculate the remainder when s is divided by u. 9 Let z be (117/(-6))/(12/(-128)). Suppose 3*p + 2*j - 46 = z, -2*p - 4*j = -172. Suppose -21*s + p = -17*s. Calculate the remainder when s is divided by 11. 10 Suppose -2604 - 11256 = -84*v. What is the remainder when v is divided by 47? 24 Suppose -863*j - 42 = -870*j. What is the remainder when 182 is divided by j? 2 Suppose -5*w = -3*v + 141, -w + 66 = -4*v + 254. What is the remainder when 563 is divided by v? 46 Let u(n) = 30*n**2 + 1. Let y(c) = -c + 5. Let o be y(4). Suppose 7*d - 8*d + i + 18 = 0, -29 = -2*d - 5*i. What is the remainder when u(o) is divided by d? 14 Suppose -5*s = q - 161, -31*s + 35*s = -q + 129. What is the remainder when 234 is divided by s? 10 Suppose 0 = -88*f + 65*f + 713. What is the remainder when 60 is divided by f? 29 Let i(u) = -u**2 + 6*u + 6. Let b = 3 + 2. Let y = 81 - 50. Calculate the remainder when y is divided by i(b). 9 Let z(v) = -39*v - 59. What is the remainder when 288 is divided by z(-3)? 56 Suppose 0 = -3*h + 96 + 216. What is the remainder when (-5)/(-2)*h/10 is divided by 9? 8 Let r = 235 - 129. Let u be 3 - (-3 + r)/(-1). Let d = u + -59. What is the remainder when d is divided by 8? 7 Suppose -3*f = 4*f - 154. Suppose 0 = -f*i + 15*i + 35. What is the remainder when 18 is divided by i? 3 Suppose 5*p + 81 = 4*q + 281, 4*p + 3*q = 129. Let b = -37 - -62. Calculate the remainder when b is divided by p*4*4/48 + 2. 11 Let h(c) = c**3 - 10*c**2 - 8*c + 23. Let o be 279/31 + 0/(-2) + 2. Calculate the remainder when h(o) is divided by 20. 16 Suppose 5 = 5*c, 2*n - 4*c - 74 = 20. What is the remainder when 241 is divided by n? 45 Let c(q) = 6*q - 6*q + 2*q - 1 + 0. Let f be c(-3). What is the remainder when (-3408)/(-56) + (-1)/f is divided by 16? 13 Let c = 42 - 19. Calculate the remainder when (1/(-5))/(245/(-83300)) is divided by c. 22 Let d be 3/9*-1 - (-14)/6. Suppose 38 = 2*r + 2*x, 5*x + 3 + 7 = d*r. What is the remainder when 27 is divided by r? 12 Suppose -g - 2*g - 12 = 0, 3*x + 3*g - 6 = 0. Suppose 2*o - 124 = -2*o. Suppose 0 = -5*w + o + 19. What is the remainder when w is divided by x? 4 Let k(t) = 11*t**2 + t + 1. Let l be (-12)/(-10)*15/6. Suppose 3*p - 1 + 4 = -l*i, 5 = -5*p - 2*i. What is the remainder when 32 is divided by k(p)? 10 Let x(j) = -j**3 + j**2 - 2*j + 38. Calculate the remainder when x(0) is divided by 23. 15 Let b = 40 + -33. Suppose b*x - 6*x = 12. What is the remainder when 33 is divided by x? 9 What is the remainder when 90 is divided by (48/(-11))/(24/(-132))? 18 Let k be (0 + 0 - 2) + -4. Let q be ((-2)/k)/((-5)/555). Let s = -22 - q. Calculate the remainder when s is divided by 6. 3 Let x = 27 + -27. Suppose x = -2*v + 3*v - 3. What is the remainder when 11 is divided by v? 2 Let l(r) = 7*r**2 - 3*r. Suppose -5 = i - 3*k + 5, -8 = 2*i - 3*k. What is the remainder when l(i) is divided by -2 + (-2 + 4 - -3) + 3? 4 Let x be 3 + -5 + 18/3. Suppose -x*i - i = -75. Calculate the remainder when i is divided by 4. 3 Suppose -4*s - 2031 = -5*i, 1213 = 3*i - 3*s + 2*s. Calculate the remainder when i is divided by 44. 7 Suppose -89*h + 117 = -86*h. Calculate the remainder when h is divided by 20. 19 Suppose 4*p = 5*k - 4*k - 255, 285 = k + 2*p. What is the remainder when k is divided by 40? 35 Let y = -59 - -29. Let j = 44 - y. Calculate the remainder when j is divided by 26. 22 Calculate the remainder when 620 is divided by (61/(-61))/((-3)/267). 86 Suppose -6*o - 2*x + 28 = -o, -20 = -4*o - 4*x. Suppose -4*u + 6 + 38 = 0. Calculate the remainder when u is divided by o. 5 Let u = 13 - -3. Calculate the remainder when u/(1*(-1)/(-4)) is divided by (-18)/(-1) - (1 - (-4)/8*-10). 20 Suppose 0 = 22*g - 1003 - 383. Suppose -14 = 3*q - 113. Calculate the remainder when g is divided by q. 30 Let a = -1999 - -2700. What is the remainder when a is divided by 47? 43 Let m(u) = 2*u**2 - 2*u + 5. Let x be m(0). Suppose 0 = -c + 3*c - w - 144, -2*c = -x*w - 160. What is the remainder when c is divided by 9? 7 Suppose -i + 17 = -3*m + 5*m, -3*i = -3*m + 21. Calculate the remainder when 327 is divided by m. 7 Let j = 118 - 74. Suppose -9*r + 4698 = 18*r. Calculate the remainder when r is divided by j. 42 Let d = 116 + -66. Let i = 6 + -2. Suppose i*j - 65 = -j. Calculate the remainder when d is divided by j. 11 Calculate the remainder when 76 is divided by (-9)/12*(-1392)/36. 18 Suppose -4*w - 1628 = -15*w. Suppose -4*h - 4*g + w = 0, 30 - 177 = -4*h - 5*g. What is the remainder when 145 is divided by h? 31 Let q = -1 + 10. Let s = 3372 - 3359. Calculate the remainder when s is divided by q. 4 Let z = -148 + 173. Calculate the remainder when 271 is divided by z. 21 Let s(n) = 2*n**2 + 16*n + 6 - n**2 - 4. Let w be s(-16). Suppose -38 = -w*q + 20. Calculate the remainder when 115 is divided by q. 28 Let c = -749 + 770. Let h(n) = 2*n**3 + 0*n**3 - 2*n - 4*n**3. Calculate the remainder when h(-3) is divided by c. 18 Suppose 30 = -3*f - 3*n, -3*f + 0*n = -5*n - 10. Let j(g) = g**3 + 5*g**2 - 5*g. Calculate the remainder when 47 is divided by j(f). 22 Let m(p) = -2*p**3 - 72*p**2 + 68*p + 8. Calculate the remainder when m(-37) is divided by 59. 53 Let n(j) = 2*j**3 - 6*j**2 - 14*j - 4. What is the remainder when n(5) is divided by 16? 10 Suppose 0 = -5*s + 272 + 53. Suppose -v + 39 = 2*v - 4*o, -3*o - s = -5*v. Calculate the remainder when 24 is divided by v. 11 Suppose 0 = -2*f + 3*h + 110, 53 + 49 = 2*f - h. Calculate the remainder when 157 is divided by f. 10 Suppose 8*z + 2*t = 3*z - 482, 3*z + 3*t = -291. Let m = z + 108. What is the remainder when 38 is divided by m? 2 Suppose 0 = 5*l - 20, c + c + l = 44. Let u = 27 - c. Calculate the remainder when 11 is divided by u. 4 Suppose s = 4*a - 115, -a - 2*s = -3*a + 56. Suppose -3*r + 486 = 6*b, 10*b - 11*b = 2*r - 72. Calculate the remainder when b is divided by a. 26 Suppose 3*u + 28 = 724. Suppose 0 = 57*b - 55*b - u. Calculate the remainder when b is divided by 24. 20 Calculate the remainder when 426 is divided by -2*(9592/16)/(-11). 99 Let d(g) = g**3 - 13*g**2 + 21*g + 14. Let s be d(11). Suppose s*k + 5*k = 1312. Calculate the remainder when k is divided by 33. 32 Let q be (-2 - -3)*-1*(-5 - -2). Suppose -5*o - q*s +
{ "pile_set_name": "DM Mathematics" }
of 863? 8 What is the tens digit of 18150? 5 What is the thousands digit of 30484? 0 What is the tens digit of 4460? 6 What is the tens digit of 1329? 2 What is the hundreds digit of 317? 3 What is the hundreds digit of 943? 9 What is the thousands digit of 8967? 8 What is the units digit of 145052? 2 What is the tens digit of 5996? 9 What is the units digit of 679? 9 What is the units digit of 8183? 3 What is the hundreds digit of 17480? 4 What is the units digit of 5451? 1 What is the units digit of 4285? 5 What is the ten thousands digit of 30939? 3 What is the tens digit of 49895? 9 What is the units digit of 947? 7 What is the tens digit of 62652? 5 What is the thousands digit of 6973? 6 What is the thousands digit of 23971? 3 What is the hundreds digit of 3315? 3 What is the hundreds digit of 398? 3 What is the hundreds digit of 15516? 5 What is the tens digit of 77099? 9 What is the units digit of 756? 6 What is the hundreds digit of 2747? 7 What is the hundreds digit of 31958? 9 What is the thousands digit of 10734? 0 What is the ten thousands digit of 10991? 1 What is the tens digit of 14052? 5 What is the ten thousands digit of 21380? 2 What is the tens digit of 1752? 5 What is the hundreds digit of 12035? 0 What is the hundreds digit of 72359? 3 What is the ten thousands digit of 43256? 4 What is the ten thousands digit of 18365? 1 What is the tens digit of 164002? 0 What is the hundreds digit of 1551? 5 What is the hundreds digit of 10835? 8 What is the ten thousands digit of 68058? 6 What is the units digit of 1682? 2 What is the tens digit of 25315? 1 What is the hundreds digit of 12424? 4 What is the tens digit of 8038? 3 What is the hundreds digit of 1560? 5 What is the tens digit of 478? 7 What is the units digit of 23510? 0 What is the hundreds digit of 474? 4 What is the tens digit of 2843? 4 What is the thousands digit of 14185? 4 What is the tens digit of 524? 2 What is the tens digit of 15? 1 What is the tens digit of 15906? 0 What is the units digit of 316? 6 What is the hundreds digit of 36177? 1 What is the units digit of 1555? 5 What is the units digit of 37186? 6 What is the hundreds digit of 3404? 4 What is the ten thousands digit of 17004? 1 What is the hundreds digit of 1851? 8 What is the hundreds digit of 10451? 4 What is the tens digit of 71769? 6 What is the tens digit of 1418? 1 What is the units digit of 3855? 5 What is the ten thousands digit of 12857? 1 What is the hundreds digit of 112565? 5 What is the hundreds digit of 3044? 0 What is the units digit of 7855? 5 What is the ten thousands digit of 35785? 3 What is the tens digit of 1486? 8 What is the units digit of 980? 0 What is the ten thousands digit of 111860? 1 What is the units digit of 3843? 3 What is the thousands digit of 5769? 5 What is the units digit of 141? 1 What is the tens digit of 40971? 7 What is the hundreds digit of 1913? 9 What is the thousands digit of 1732? 1 What is the tens digit of 119? 1 What is the thousands digit of 33151? 3 What is the units digit of 12671? 1 What is the hundreds digit of 3307? 3 What is the ten thousands digit of 16037? 1 What is the tens digit of 37706? 0 What is the thousands digit of 9133? 9 What is the hundreds digit of 371? 3 What is the units digit of 73243? 3 What is the tens digit of 976? 7 What is the tens digit of 20181? 8 What is the thousands digit of 1144? 1 What is the hundreds digit of 745? 7 What is the hundreds digit of 279? 2 What is the tens digit of 418? 1 What is the thousands digit of 51961? 1 What is the units digit of 13182? 2 What is the tens digit of 628? 2 What is the units digit of 27544? 4 What is the ten thousands digit of 22436? 2 What is the hundreds digit of 886? 8 What is the hundreds digit of 4055? 0 What is the tens digit of 22098? 9 What is the hundreds digit of 576? 5 What is the hundreds digit of 1623? 6 What is the hundreds digit of 20490? 4 What is the hundreds digit of 8262? 2 What is the tens digit of 655? 5 What is the hundreds digit of 42594? 5 What is the thousands digit of 44152? 4 What is the units digit of 4446? 6 What is the ten thousands digit of 76061? 7 What is the units digit of 28990? 0 What is the hundreds digit of 10667? 6 What is the thousands digit of 6293? 6 What is the tens digit of 27267? 6 What is the tens digit of 3047? 4 What is the units digit of 111? 1 What is the ten thousands digit of 17116? 1 What is the tens digit of 14020? 2 What is the tens digit of 7681? 8 What is the tens digit of 358? 5 What is the hundreds digit of 655? 6 What is the units digit of 984? 4 What is the ten thousands digit of 27424? 2 What is the tens digit of 20191? 9 What is the thousands digit of 2869? 2 What is the hundreds digit of 19997? 9 What is the thousands digit of 7112? 7 What is the tens digit of 1929? 2 What is the thousands digit of 17267? 7 What is the units digit of 2246? 6 What is the thousands digit of 1025? 1 What is the hundreds digit of 3405? 4 What is the thousands digit of 7565? 7 What is the hundreds digit of 8800? 8 What is the tens digit of 321? 2 What is the hundreds digit of 828? 8 What is the thousands digit of 7730? 7 What is the units digit of 1678? 8 What is the tens digit of 9819? 1 What is the hundreds digit of 42088? 0 What is the hundred thousands digit of 164693? 1 What is the units digit of 5899? 9 What is the units digit of 1534? 4 What is the units digit of 24197? 7 What is the tens digit of 8816? 1 What is the ten thousands digit of 33533? 3 What is the tens digit of 130738? 3 What is the tens digit of 589? 8 What is the thousands digit of 4676? 4 What is the ten thousands digit of 71849? 7 What is the units digit of 1264? 4 What is the units digit of 3856? 6 What is the hundreds digit of 91873? 8 What is the hundreds digit of 408? 4 What is the units digit of 847? 7 What is the tens digit of 125191? 9 What is the units digit of 3404? 4 What is the units digit of 86780? 0 What is the units digit of 83386? 6 What is the thousands digit of 17386? 7 What is the ten thousands digit of 46012? 4 What is the thousands digit of 13665? 3 What is the thousands digit of 7256? 7 What is the tens digit of 6388? 8 What is the units digit of 17454? 4 What is the units digit of 71? 1 What is the units digit of 3032? 2 What is the thousands digit of 2181? 2 What is the thousands digit of 2001? 2 What is the tens digit of 2161? 6 What is the ten thousands digit of 86255? 8 What is the thousands digit of 16353? 6 What is the thousands digit of 2569? 2 What is the hundreds digit of 6827? 8 What is the units digit of 1770? 0 What is the units digit of 1554? 4 What is the tens digit of 3965? 6 What is the hundreds digit of 40403? 4 What is the tens digit of 14540? 4 What is the tens digit of 10731? 3 What is the tens digit of 922? 2 What is the tens digit of 2105? 0 What is the units digit of 7809? 9 What is the thousands digit of 2521? 2 What is the units digit of 2092? 2 What is the tens digit of 7834? 3 What is the tens digit of 5302? 0 What is the tens digit of 3095? 9 What is the ten thousands digit of 49403? 4 What is the hundreds digit of 625? 6 What is the units digit of 530? 0 What is the units digit of 2635? 5 What is the hundreds digit of 402? 4 What is the tens digit of 6961? 6 What is the units digit of 707? 7 What is the tens digit of 445? 4 What is the units digit of 5592? 2 What is the hundreds digit of 9356? 3 What is the units digit of 1041? 1 What is the units digit of 1454? 4 What is the thousands digit of 1128? 1 What is the tens digit of 1838? 3 What is the hundreds digit of 5360? 3 What is the units digit of 1143? 3 What is the tens digit of 159728? 2 What is the hundreds digit of 12765? 7 What is the units digit of 15053? 3 What is the hundreds digit of 4845? 8 What is the hundreds digit of 1939? 9 What is the thousands digit of 30936? 0 What is the tens digit of 2062? 6 What is the units digit of 1130? 0 What is the units digit of 27566? 6 What is the hundreds digit of 801? 8 What is the hundreds digit of 1758? 7 What is the units digit of 14? 4 What is the thousands digit of 5128? 5 What is the tens digit of 423? 2 What is the hundreds digit of 58315? 3 What is the thousands digit of 2586? 2 What is the thousands dig
{ "pile_set_name": "DM Mathematics" }
- 13. What is the remainder when 28 is divided by f? 13 What is the remainder when (-8)/6*-6*(-9)/(-2) is divided by 10? 6 What is the remainder when (-4 - -3) + 1 + (-44)/(-1) is divided by 12? 8 Let g = -11 + 16. Suppose 2*b - 2*y = 52, -b + 25 = 5*y + g. Calculate the remainder when 10/b - (-196)/10 is divided by 11. 9 Suppose -103 = -g - 3*n, 559 = -0*g + 5*g + 4*n. Let k = -76 + g. Suppose 2*m = -m + k. What is the remainder when 36 is divided by m? 10 Calculate the remainder when 26 is divided by 70/7 + (1/1 - -1). 2 Let s = -3 + 3. Let m = s + 11. Let q = m - 0. Calculate the remainder when 20 is divided by q. 9 Suppose -5*q + 31 + 39 = 0. What is the remainder when 69 is divided by q? 13 Let v(y) = y**2 + 8*y. Let t be v(-8). Suppose 3*g + 3*p - 18 = t, -3*g + 0*g = -3*p. What is the remainder when 3 is divided by g? 0 Suppose 3*w - 7 = 29. Calculate the remainder when 40 is divided by w. 4 Let v(k) = k**3 - 13*k**2 - 14*k + 5. What is the remainder when 54 is divided by v(14)? 4 Let j be (6/5)/(6/(-15)). Let q be -2 - (j - (1 + -2)). Suppose q = -5*m + 107 - 37. What is the remainder when 40 is divided by m? 12 Suppose 5*g - 26 + 6 = 0, x + 5*g + 3 = 0. Let p = 42 + x. Calculate the remainder when p is divided by 5. 4 Let p(v) = 9*v**2 + 3*v - 1. Let l(f) = 2*f**2. Let u be l(-1). Calculate the remainder when p(u) is divided by 0 - 5/((-10)/28). 13 Let y(x) = 4*x**3 + 4*x**2 + 9*x - 6. Let z(b) = 5*b**3 + 3*b**2 + 10*b - 6. Let j(n) = 4*y(n) - 3*z(n). Calculate the remainder when j(-5) is divided by 8. 6 Let p be (-3)/2*2 - -43. Suppose -4*y = -p - 40. Suppose 3*m + 2*m - y = 0, 0 = h + 3*m - 67. Calculate the remainder when h is divided by 19. 17 Suppose -5*k + 4 = -6. Let g = 112 + -64. Suppose n - g = -k*n. What is the remainder when 31 is divided by n? 15 Let j(c) = -c + 35. What is the remainder when j(0) is divided by (-150)/(-8) + 12/(-16)? 17 Suppose -4*r - 4*y + 24 = 0, -5 = -r - 5*y + 9. Let j(f) = f**3 - 3*f**2 + f - 2. Suppose -3*d - 7 = -37. What is the remainder when j(r) is divided by d? 8 Let f(a) = 3*a**2 - 4*a - 3. Let l be (-1)/(1/3) + 1. Calculate the remainder when 32 is divided by f(l). 15 Let y(v) = -v**3 + 5*v**2 + 6*v. Suppose -4*i + 35 - 11 = 0. Let d be y(i). What is the remainder when (d - -2)*(-57)/(-6) is divided by 5? 4 Let q be (-3)/(-3*(-2 - -3)). Let x = 8 - q. Calculate the remainder when 13 is divided by x. 6 Suppose -4*a - 3*k + 93 = 0, k + 2*k - 30 = -a. What is the remainder when a is divided by 8? 5 Let x(y) = y + 2. Suppose -5*o + 3*p + 38 = 5*p, -3*p - 18 = -5*o. Calculate the remainder when 29 is divided by x(o). 5 Suppose -4*l - 5*o = -31, -2*o + 10 = -3*l + 39. Calculate the remainder when l is divided by 7. 2 Suppose q + x = 3, -5*x - 26 = -4*q - 2*x. Calculate the remainder when 13 is divided by q. 3 What is the remainder when 1027/26*2/1 is divided by 16? 15 Let t(x) = 6*x**3 + 2*x**2 - x. Calculate the remainder when 20 is divided by t(1). 6 Let t = 11 - 6. Let g(d) = d**3 + 8*d**2 - 9*d + 3. Calculate the remainder when t is divided by g(-9). 2 Suppose -2*u + 8 - 6 = 0. Let i = 13 + -1. Let n = i + u. What is the remainder when 25 is divided by n? 12 Let w be (9/27)/(2/(-6)). Calculate the remainder when 68 is divided by 46*(12/8 + w). 22 Suppose -2*w = -17 - 25. Let d(p) = 3*p - 12. Calculate the remainder when w is divided by d(6). 3 Let a = 5 + -3. Calculate the remainder when 7 is divided by a. 1 Suppose -2*r = -r - 6. Let i(t) = t**2 - 6*t + 9. Let u be i(r). Suppose 4*w = 11 + u. What is the remainder when w is divided by 3? 2 Let f(g) = -g**3 + 17 + g - 3*g**2 + 0*g**2 + 2*g**2. Suppose 0 = 7*q - 3*q - 196. Calculate the remainder when q is divided by f(0). 15 Let c be 1 - 1 - -1 - -44. Suppose -4*d - d + c = 0. What is the remainder when 17 is divided by d? 8 Let c(i) = 5*i**3 - 3*i**2 + i + 2. Calculate the remainder when 51 is divided by c(2). 19 Let h = 35 + -16. Calculate the remainder when h is divided by 7. 5 Let o(v) = -2*v + 2. What is the remainder when o(-15) is divided by 7? 4 Let p(y) = -y**3 - 6*y**2 + 5*y + 8. Calculate the remainder when p(-7) is divided by (8/(-6))/(2/(-18)). 10 Suppose 0 = -15*j + 12*j + 99. Calculate the remainder when 97 is divided by j. 31 Let x(b) = 6*b - 13. Let s be x(9). Suppose 4*g = 5*g - s. Calculate the remainder when g is divided by 14. 13 Let k = 102 - 38. Suppose -f - 2 = 0, 4*p + f + k = 274. Calculate the remainder when p is divided by 14. 11 What is the remainder when 6/(-5)*245/(-14) is divided by 14? 7 Suppose -12 - 30 = -3*k. What is the remainder when 26 is divided by k? 12 Let o = -2 - -3. Calculate the remainder when 6/15 - 18/(-30) is divided by o. 0 Suppose 0 = 2*a - 0*a - 8. Suppose 5*x - 3*b = 62 + 2, -22 = -x - a*b. What is the remainder when 54 is divided by x? 12 Calculate the remainder when (-2)/4 + (-90)/(-20) is divided by 2. 0 Calculate the remainder when 7 is divided by 0 + (-3 - (-3 - 2)). 1 Let d(h) = 0*h + h - 2 - h**2 + 4*h. Let z = 4 - 1. What is the remainder when d(3) is divided by z? 1 Let c(n) = -26*n - 57. Calculate the remainder when c(-4) is divided by 26. 21 Suppose -3*k = -7*k + 176. Calculate the remainder when k is divided by 23. 21 Let y = 14 + -10. Suppose -y*w + h = -9, 0*h + 5*h - 9 = 2*w. Suppose -w*f = 16 - 64. Calculate the remainder when 30 is divided by f. 14 Suppose 1 = -2*b + 3. Let d = -39 - -41. What is the remainder when d is divided by b? 0 Let y = -16 + 58. Suppose 158 = 4*i + y. Calculate the remainder when i is divided by 10. 9 Let y(a) = -10*a - 3. What is the remainder when 50 is divided by y(-2)? 16 Let g be (-18)/8*16/(-3). Let c = -7 + g. What is the remainder when 12 is divided by c? 2 Let y = 83 + -64. Calculate the remainder when 36 is divided by y. 17 Let u be 4/10 + 728/5. Suppose 3*l = u + 13. What is the remainder when l is divided by 18? 17 Suppose -4*a - 3 = 3*s - 2*a, 0 = a. Let y = 5 - 2. What is the remainder when s/(-4) + (-140)/(-16) is divided by y? 0 Let h be (-1)/2*(-3 - -3). Let q = 2 + h. What is the remainder when q is divided by 2? 0 Suppose -3*p - f = -8, -p - 8*f - 16 = -3*f. Let n = -12 + 19. What is the remainder when n is divided by p? 3 Suppose 2*q = -3*q + 65. Let m = -43 + 79. Suppose 13*v = 12*v + m. What is the remainder when v is divided by q? 10 Suppose 0 = 5*u + 4*k - 25, -2*k = -3*u - 0*u - 7. Calculate the remainder when u is divided by (-2)/(-1) - (-2)/(-2). 0 Let j = 0 - -4. Suppose -2*a + j*h = -22, 62 = 4*a - 2*h + 3*h. What is the remainder when a is divided by (-23)/(-3) + (-1)/(-3)? 7 Let v(c) = 9*c - 3. What is the remainder when v(1) is divided by (3/5 - 0)*5? 0 Suppose -3*f = -0*f - 63. What is the remainder when 103 is divided by f? 19 Let u = 6 + 10. Let k = -3 + 9. What is the remainder when u is divided by k? 4 Let p be 9/15 + 12/5. Suppose -2*r = -4*z + 50, 5*z = 6*z - p*r - 5. What is the remainder when z is divided by 5? 4 Let z(u) = 7*u - 5. What is the remainder when 144 is divided by z(6)? 33 What is the remainder when 114 is divided by (3/2)/(30/460)? 22 Let o(t) = -2*t + 6. What is the remainder when 62 is divided by o(-5)? 14 Let q(b) = -b**2 + b + 10. Calculate the remainder when q(0) is divided by 3. 1 Let b(r) = -r**2 + 4*r + 7. Let u be b(5). Let m(g) = -1 + 1 - 3 + 31*g. Calculate the remainder when m(u) is divided by 20. 19 Let m be (-32)/(-14) - 2/7. Suppose 24 = -m*k + 6*k. Calculate the remainder when 10 is divided by k. 4 Let j(t) = -t**2 - 10*t - 6. Let s be j(-9). Suppose -2*b + s = -13. Calculate the remainder when 14 is divided by b. 6 Let h(q) = -q**3 + 8*q**2 - 10*q + 1. Calculate the remainder when 62 is divided by h(6). 10 Let p(b) = -b**2 - 3*b - 2. Let j be p(-2). Let q = 0 - j. Suppose -5*c + 3 = -3*i + 85, q = -3*i - 3*c + 66. What is the remainder when i is divided by 13? 11 Suppose y + 74 = 5*q - 129, 5*q + 3*y = 191. Suppose 5*b - 2*b + 3*k = 75, 0 = 3*b - 4*k - q. Let n = -14 - -25. Calculate the remainder when b is divided by n. 9 Let s = -3 + 8. Suppose s*m - 55 = -0. Suppose -5*o - 5*o + 30 = 0. Calculate the remainder when m is divided by o. 2 Suppose -s + 12 = 2*l, -3*l = 4*s + s - 18. Suppose -a = 6*a - 112. Calculate the remainder when a is divided by l. 4 Let c = 3 + 0. Let
{ "pile_set_name": "DM Mathematics" }
(b) j (c) d c Let w be ((-2)/(-15))/(1/10). Let q = -71/209 - -3/19. What is the nearest to 1/2 in 2, w, q? q Let m = -0.2 + 0.2. Suppose -19 = -r - 0*r - 4*w, -2*w + 5 = -r. Let d be ((-30)/(-27))/(2/r). Which is the nearest to -1? (a) d (b) 2/5 (c) m c Let n be (-35)/60 - (-2)/8. Let o = 0.2 - -0.1. Let h = o + -0.4. What is the nearest to -1 in n, h, 2? n Let v = 0.4 + -0.1. Which is the nearest to 1/4? (a) v (b) -0.3 (c) 0 a Let k = -99 + 104.9. Let n = k + -6. Which is the nearest to n? (a) 1 (b) -2 (c) -0.5 c Let v be ((-232)/(-60))/((-8)/(-10)). Let d = 5 - v. What is the nearest to 0 in d, 2/5, -5? d Let k = 4.07 + -0.07. Let b = 0.35 + -0.35. What is the nearest to b in -2, -3, k? -2 Let g = -0.15 + 10.15. Let m = g - 10.2. Let o = 0.01 + 2.99. What is the nearest to -0.1 in o, m, 4/7? m Let i = 4 - 10. Let x = i + 3. Let m = 0 + 2. What is the nearest to -1 in m, x, -5? x Let l be 22/30 + 6/(-10). Let y = 0 - 4. Let i = -21 - -43/2. Which is the closest to -1? (a) i (b) y (c) l c Let j = -12.77 + -0.23. Let x = 9 + j. What is the closest to 1/4 in -1/2, x, 5? -1/2 Let w = -3.3 - 0.7. Let d = w - -4.2. Suppose -2*g = -5*p + 18, -5*g + p = -g. What is the nearest to d in 2/15, -4/3, g? 2/15 Let t be ((-3)/(-18))/((-1)/4). Let w be ((-15)/24)/(-5)*-6. What is the nearest to t in 0, -5, w? w Let o = 20.2 + -20. Let n = -71/3 - -23. Which is the nearest to n? (a) o (b) 1/2 (c) -4 a Suppose 4 = -3*k - k - s, 3*s = -12. Let y be k*(0 + -1) + 1. Which is the closest to y? (a) -4/3 (b) 2/9 (c) 4 b Let p = -2/15 - 1/5. Which is the nearest to 2? (a) p (b) 1/10 (c) 1/4 c Let x = 898/7 + -128. Let d be (-3 - 1)/((-3)/(-3)). Suppose -4*u = -3*r - 2*u - 3, -5*r + 4*u - 3 = 0. What is the closest to x in d, 5, r? r Suppose m = -3*o + 6, -6*o + 2*o + 19 = 5*m. Let f = 1.2 + -0.9. Which is the closest to o? (a) f (b) -3 (c) -2 a Let a(v) = v**2 + v - 1. Let p be a(-3). Let j be (2/1125)/(1/(-447)). Let l = j - 2/375. What is the closest to 0.2 in p, 0.4, l? 0.4 Let x = 18385159/114 + -161275. Let u = x - -1/114. Let k = 20 + -20.4. Which is the nearest to -2? (a) k (b) u (c) -4 b Let x be ((0 - -1)*1)/1. Let z be (-1)/2 + 10/8. Let i = 4 + -6. What is the closest to x in -3, z, i? z Let t = -0.9 + 0.9. Let r = -4 - -5. Which is the closest to -1/3? (a) r (b) t (c) 3 b Suppose -16 = -4*v - 3*p, -p + 7 = v + 2*v. Let f = -6 + 6.6. Let x = f - 0.9. Which is the nearest to v? (a) x (b) -5 (c) 1/9 c Let f = -2.8 - -3.3. Which is the nearest to -0.2? (a) 2/5 (b) f (c) -1 a Let h be (-18)/(-105)*(140/6)/(-7). Which is the nearest to 3? (a) h (b) 7 (c) 3/5 c Let y = 0.01 - -0.09. Let t = -0.8 - -1.8. Let d = -0.6 - -1. What is the closest to t in d, -1/4, y? d Suppose -3*p + 15 = -0*p. Suppose 4 = 6*q - p*q. What is the nearest to -0.1 in 2/9, 0.5, q? 2/9 Let o = -26.5 + 26. Which is the closest to 1? (a) o (b) 4 (c) -0.2 c Let m = -28 + 57/2. Let n = -17 - -15. Which is the nearest to m? (a) 2 (b) 1 (c) n b Let u be 5/2*1/5. Let q = 10 + -10. Suppose q = -d - d + 10. Which is the closest to 1? (a) u (b) d (c) 0.3 a Let w = -0.7 - -0.3. Suppose 1 = 3*l - 2*m, -2*l - 3*m + 2*m = -3. Suppose 3*j = -0*j - 6. What is the nearest to l in w, 0, j? 0 Let y be 56/66 + 6/(-33). Let i be (-71)/(-316) - (-2)/(-8). Let w = i - 71/316. Which is the nearest to w? (a) y (b) 0 (c) -2 b Let l = -91 - -92. What is the closest to l in -1, -0.1, 67? -0.1 Let f = 649/21 - 31. Let t = -0.74 - -5.74. What is the nearest to -0.1 in f, t, -3/2? f Let i be (-3 + 6/3)*(-6)/(-9). Which is the nearest to i? (a) 0.4 (b) 0 (c) 4/7 b Let k = 0.187 + -0.687. Let m = 17/3 + -19/3. Let z = -10 - -5. Which is the closest to m? (a) z (b) k (c) -2 b Let w = -86 - -424/5. What is the nearest to -1 in 2/15, w, -14? w Let n be (10/(-24))/(2/16) - -4. Which is the nearest to -1/6? (a) 3/5 (b) 5 (c) n a Let r = 6.2 + -4. Let d = r - -0.8. What is the nearest to -2 in d, -4/5, -3/5? -4/5 Let n = -0.017 + 4.017. Let k = 0.3 - 0.2. What is the closest to -8 in -0.1, k, n? -0.1 Let x be -3 - 0 - (-62)/22. What is the closest to -1 in x, -4/7, 1? -4/7 Let f = -4.98 - 0.62. Let d = f + 6. What is the nearest to -1/3 in -4, -0.2, d? -0.2 Let d = 0 + -1. Let j(y) = -y**2 + y - 3. Let k be j(0). Let o = -3 - -1. What is the closest to d in -0.1, k, o? -0.1 Suppose k = 4*v + 13, -k + 1 = -v - 3. Suppose -73 = 3*h + y, -4*h - 51 = 3*y + 53. Let z = h - -47/2. Which is the nearest to k? (a) -3 (b) 3 (c) z c Let l(b) = b**3 - 9*b**2 + 4. Let a be l(9). Suppose -a*k + 0*k + 20 = 0. Let q = k - 1. What is the closest to -2/3 in -0.1, q, -3/5? -3/5 Let w = -22 + 14. Let z = 11 + w. What is the closest to 1 in z, -0.2, -0.3? -0.2 Let o = 14 + -14.4. Let i = 2.4 - 0.4. Which is the closest to -1? (a) o (b) i (c) 3 a Let u = -8.5 - 0. Let t = -9 - u. What is the nearest to -0.1 in 0.5, 2, t? t Let u = -92 - -54. Let m = -38.1 - u. Let i be (2/6)/((-1)/(-3)). Which is the nearest to i? (a) 2 (b) m (c) 5 a Let g = -22 + 89/4. Which is the closest to g? (a) -0.4 (b) 0.4 (c) -1 b Let u = -0.02 - -0.02. Which is the nearest to u? (a) 5 (b) -2 (c) 2/19 c Let w = -0.08 + 2.08. Let z = -4 + w. Let y = -413/33 + 37/3. What is the nearest to z in 2, y, 0? y Let u = -0.1 + 0.3. Let y = 3.2 - u. Let m be (-4)/(-12) - 11/24. What is the nearest to -0.1 in m, 5/2, y? m Suppose -173 = -4*x - 41. Let m = x + -16. Suppose 0 = -2*h - 3*z + 7, -h = h - 5*z + m. What is the closest to h in -1, -2/13, -0.2? -1 Let p be (24/(-10))/(6/(-30)). Let d be 2*(-3)/p - 0. Which is the nearest to -1? (a) -0.1 (b) -3 (c) d c Let g be 11/5 + -2 + -1. Let p = -4/25 - 6/25. Let d = -14/95 + -1/19. Which is the closest to p? (a) 0.3 (b) g (c) d c Let g = -1/78 - -9/26. What is the closest to g in 3/5, -0.1, -2/9? 3/5 Suppose g - 12 = -g. Let m(o) = -o + 2. Let d be m(g). Let k be 0 - (1 - (-3)/d). What is the nearest to k in -0.4, 3/4, 1? -0.4 Suppose 5*f - 4*x = 6, 0*x = -5*x - 20. What is the nearest to 0 in 8, 0.4, f? 0.4 Let x = 116 - 115. What is the nearest to x in -4, -3, -1/2? -1/2 Let j = -15 - -11. Let h = j + 3.99. Let r = 2.99 - h. What is the nearest to -1 in -4/7, r, 0? -4/7 Let j = 24.9 + -25. What is the closest to 1/4 in 1/4, j, 0.2? 1/4 Let f = 2/125 - 256/375. Let v be 10/3 + (-10)/30. What is the nearest to -0.1 in -2/5, v, f? -2/5 Let u = -2593/39 - -199/3. Which is the closest to -2/3? (a) -5 (b) -0.1 (c) u c Let j be (-1)/((-3)/(-6)) - -1. Let z be (j/3)/((-12)/9). Let d = -0.16 - -0.06. What is the nearest to z in -1/2, 4, d? d Let t(i) = i**2 - 3*i - 6. Let u be t(4). Which is the closest to 2/5? (a) -3/4 (b) 0.5 (c) u b Let p = 0.48 + 0.52. Which is the closest to 1/2? (a) 3/4 (b) -4 (c) p a Let f be (-6)/(-27) + (-1078)/(-9). Suppose -3*x - 2*x + f = 0. Suppose 0 = -4*u - d + 8, -6*u + 2*u - 5*d = -x. What is the closest to -1 in -0.4, 5, u? -0.4 Suppose -4*v + 2*j = -4, 4*v - 3*j + 8*j = 18. What is the nearest to v in -1, -0.2, -5? -0.2 Let y be (-7)/(-28) + 2/(-4). What is the closest to y in -3, 9, -0.2? -0.2 Let n be (((-3)/(-3))/(-2))/(28/8). What is the closest to n in -3, -0.5, 2/15? 2/15 Let t(z) = z - 8. Let m be t(6). Let n = 62 + -65. Which is the closest to -1? (a) n (b) 2/3 (c) m c Let h = -18 + 6. Let o = h + 11.9. Let q = -0.46 - -0.06. Which is the closest to o? (a) 3 (b) q (c) -3 b Let g be (-6)/9*(-6)/(-22). Let k = -0.5 - 1.5. Let h be 12/(-16)*2/(-6). What is the nearest to h in -3, g, k? g Let s(w) = w**2 + 10*w + 9. Let j be s(-7). Let p be (8/j)/(4/6). Let u = -2/41 - 29/246. What is the closest to p in u, -3/7, -2/3? -2/3 Let d be -3*4/6 - 1. Let j be 1/((-2)/6*d). Let h(k) = k + 6. Let s be h(-3). Which is the nearest to j? (a) -2/3 (b) -2/7 (c) s b Let z = -53/488 + -1/61. What is the closest to -1 in -1/11, z, -4/9? -4/9 Let h = -0.87 + -0.13. What is the closest to h in -5, 4, 2/13? 2/13 Let o be 44/(-77)*2/(-16)*-2. Which is the nearest to -2/5? (a) o (b) -5 (c) 2 a Suppose -4*c = -8, -5*o + 3*c = -2*o + 12. Let r = -20.3 + 20. What is the nearest to -1 in o, r, -2/11? r Suppose -x + 14 - 15 = 0. What is the closest to x in 0, 2/5, 2? 0 Let w = 0.09 + 3.91. Let r = w + -6. What is the nearest
{ "pile_set_name": "DM Mathematics" }
be d(0). Calculate the greatest common divisor of f and 31. 31 Let i = -31 + 24. Let n(o) = -o**3 - 6*o**2 + 7*o + 5. Let r be n(i). What is the greatest common divisor of r and 1? 1 Let m be 3*1*4/6. Suppose -m*a + 16 = -6. What is the highest common divisor of 33 and a? 11 Let l(b) = -7*b - 1. Let i be l(-3). Suppose h - 640 = -7*h. What is the greatest common divisor of i and h? 20 Let k = 9 - 1. Calculate the highest common factor of 12 and k. 4 Let a(n) = 6*n - 4. Let z be a(3). Suppose z = r + 3*r + 3*m, -r + 3*m = -11. What is the highest common factor of r and 55? 5 Suppose -6 - 34 = -5*s + 2*c, -5*s + c + 40 = 0. Suppose 6*x + 12 - 36 = 0. Calculate the greatest common divisor of s and x. 4 Suppose 8 = -2*p + 58. Suppose -4*q + 5*f + p = -q, -14 = -2*q + 2*f. Let u be (45/12)/((-5)/(-60)). Calculate the greatest common factor of u and q. 5 Let v(q) = q + 11. Let u be v(-8). Let o = u + -1. Calculate the highest common factor of o and 14. 2 Let c be 32/(-6) - (-4)/(-6). Let r be 2/(c/(-165) - 0). Suppose -2*y + 0*y + 10 = 0. What is the greatest common divisor of r and y? 5 Suppose -3*p + b = -18, -4*b + 8 = -2*p + 6*p. Calculate the highest common factor of p and 30. 5 Suppose 25 = -2*w + 7*w. Suppose w*v - 32 = v. Calculate the highest common factor of v and 12. 4 Suppose 163*x + 174 = 166*x. What is the greatest common factor of 29 and x? 29 Let d(y) be the second derivative of y**4/4 - 5*y**3/6 - y**2/2 - 3*y. Let s be d(6). Let m = -23 + s. What is the highest common factor of 18 and m? 18 Let w be 16*(-3 + 2 - (-10)/5). Calculate the greatest common divisor of 8 and w. 8 Suppose i - 18 = 4*i. Let d be 100/6 + i/(-18). Suppose a - 45 = -d. What is the greatest common divisor of 70 and a? 14 Suppose -2*h + 24 = -0*h + 2*y, -h = 5*y - 12. What is the highest common factor of h and 24? 12 Let p be 2 + (-1 + 5 - 2). Let w = -1 + p. Suppose w*j - j = 48. Calculate the greatest common factor of j and 36. 12 Let q be 6*(2 + 1) - 3. Suppose 0 = 3*t + 3*d - 15, 0*d + 5 = 3*t + 5*d. Let i be 9*t/(0 - -2). Calculate the greatest common divisor of q and i. 15 Suppose -f = -2*w + f + 450, -4*f - 4 = 0. What is the greatest common factor of 7 and w? 7 Let d(l) = 2*l**2 - 5*l - 34. Let x be d(14). What is the highest common factor of x and 32? 32 Suppose -27 = -o + 9. Let k be 2/1 - (3 - 13). Let b be (3/4)/(1/k). Calculate the highest common factor of o and b. 9 Let b = -13 - -17. Let d(k) = 6*k - 10. Let n be d(b). What is the highest common divisor of n and 14? 14 Suppose -3*c + 3*p + 101 = -c, -3*c + 109 = 4*p. Let a = c + -26. Calculate the greatest common divisor of 187 and a. 17 Suppose 2*v - 5 - 13 = 0. Let s(y) = 3 - 4 - 2 - y - 3. Let z be s(-7). What is the greatest common divisor of v and z? 1 Suppose 0*y + 5*y - 50 = 0. Let p be (-6)/(-2)*(-10)/(-2). Let g be 4/y + 159/p. Calculate the highest common factor of 22 and g. 11 Let w be (-7)/(-4) + (-1)/(-4). Suppose a = -w*a. Suppose a = -2*t + 3 - 1, -u = 3*t - 13. What is the greatest common factor of u and 2? 2 Suppose -2*k + 24 = -0. Suppose 0 = -m + k + 7. What is the highest common divisor of 95 and m? 19 Let p = -109 + 164. Calculate the highest common divisor of p and 5. 5 Let o(c) = 2*c**2 - 6*c - 4. Let h be o(-5). Let t be 22 + -7 + -1 + 5. What is the greatest common divisor of h and t? 19 Let m = -56 + 168. Let b be (-41)/(-2)*16/8. Let t = -25 + b. What is the greatest common factor of t and m? 16 Suppose -4*h + 40 = 5*b - b, -2*b + 35 = 5*h. What is the greatest common divisor of h and 1? 1 Let i be (44/(-6))/(8/(-264)). Calculate the greatest common factor of 22 and i. 22 Suppose -4*a = 4, -3*a = 5*k - 5*a + 8. Let d be (-108)/(k - 2) - 3. What is the highest common divisor of d and 6? 6 Suppose 3*v = -3*n, -2*v - 3*n = -4*v + 20. Suppose v*s - 14 - 2 = g, -16 = -4*s - 2*g. Suppose -7*w = -18 - 10. What is the greatest common divisor of w and s? 4 Suppose -4*t = t - 20. Let a(x) = 8 - 1 + x + 2*x - t*x. Let b be a(3). What is the highest common factor of 4 and b? 4 Suppose -2*v + 0*v + 273 = -5*w, -2*v - 257 = 5*w. Let x = 3 - w. Calculate the greatest common divisor of x and 7. 7 Let c be (1/(-1))/((-1)/(-4)). Let f = 2 + c. Let s be (f - -4 - 3)*-4. Calculate the greatest common factor of 36 and s. 4 Let t be 3 + 0*(-1 + 0). Suppose t*p - 5*p - 32 = 4*z, -5*p + 5*z = 125. Let s = p - -34. Calculate the greatest common factor of s and 108. 12 Suppose 2*j = -j + g + 47, 4*j + 5*g = 50. Let t = 14 - -16. Calculate the highest common divisor of t and j. 15 Let u = 56 - -16. Let m be u/10*(-85)/(-2). Let q be m/8*(4 - 0). What is the greatest common divisor of 17 and q? 17 Let u = 21 - 16. Suppose 2*t - 75 = -3*q + 34, 62 = 2*q - 4*t. Calculate the greatest common divisor of q and u. 5 Let i = -1 - -1. Suppose 5*t = 3*q - 135 - 95, -t - 1 = i. What is the highest common factor of q and 30? 15 Let r(f) = 4*f - 12. Let w be r(4). What is the highest common divisor of w and 36? 4 Let g = 19 + -25. Let n be (-664)/g - (-4)/(-6). What is the highest common divisor of 10 and n? 10 Suppose 2*l = -4*o + 54, -2*o + 5*o - 46 = 4*l. Suppose -10*q = -8*q + 16. Let w = o + q. Calculate the greatest common divisor of 15 and w. 3 Let k be 77/(0 + 1) + (39 - 41). Let t(i) = 4*i**2 + i - 3. Let x be t(-3). What is the greatest common divisor of k and x? 15 Let o(i) = 3 + 2*i + 2 - 2 + 47*i**3 - 4. Let k be o(1). Calculate the highest common factor of k and 16. 16 Suppose 15 = 3*g - 0*g + 3*t, 0 = 3*g + t - 11. Suppose -3*l + 19 = 4, 4*z = g*l - 3. Let y be 5/(z/3)*6. What is the highest common factor of 12 and y? 6 Let p(c) = -c. Suppose 0 = s - 19 + 5. Suppose -s = 4*w + 6. Let k be p(w). What is the greatest common factor of k and 20? 5 Suppose -v - 2*v = -27. Suppose 0 = 2*s - 0*s - 36. What is the greatest common factor of s and v? 9 Suppose -2*h = 5*j - 9, 3*j + h + 0*h = 5. Let p be (-37)/(-2) - (-2)/(-4). Let q be 166/p - 6/27. What is the greatest common factor of j and q? 1 Suppose 4*l - 5*i + 0 = -13, 3*i - 5 = l. Let f be (1/l)/((-2)/28). Calculate the highest common factor of f and 14. 7 Suppose 28 = 2*k + 5*k. Suppose -k*x - 2*x = -114. Calculate the greatest common factor of 95 and x. 19 Let h be (3/(-2) - -2)*34. Suppose -2*v + 4*x + 50 = 0, 3*v - 6*v = 2*x - 43. What is the greatest common divisor of h and v? 17 Let r(a) = a**3 - 4*a**2 - 3*a - 7. Let i be r(5). Suppose i*o - 208 = -o. Calculate the highest common divisor of o and 13. 13 Suppose -k = -1 + 5. Let h be k/(-18) - 97/(-9). Calculate the greatest common factor of 1 and h. 1 Let k = 57 + -27. Suppose -2*w + 0*w + k = 0. Calculate the greatest common factor of 15 and w. 15 Suppose 2 + 8 = 5*h. Let v(q) = -2*q + h*q**2 - 1 - 3 + 3 - 1. Let n be v(2). Calculate the greatest common divisor of 2 and n. 2 Let j be (-3 - 285)*3/(-3). What is the greatest common divisor of 36 and j? 36 Suppose 5*s - s + 8 = 0. Let h be (10 + -3)/(s/(-12)). What is the highest common factor of 14 and h? 14 Suppose -13*u = -17*u + 12. Calculate the highest common divisor of u and 9. 3 Let c = 49 - 31. Calculate the greatest common factor of 9 and c. 9 Let k = 35 + -27. Suppose 5*a - 60 - 20 = 0. Calculate the greatest common divisor of a and k. 8 Let f be (-5 + 5)/4 - -24. Calculate the highest common factor of 8 and f. 8 Let c = -27 - -47. What is the greatest common divisor of c and 220? 20 Let j(t) = -3 + 0*t - t + 0. Let g be j(-5). Suppose 0 = -2*x + x + g. Calculate the highest common factor of x and 2. 2 Let a be (-1)/(-3) + 3293/111. Calculate the highest common divisor of 75 and a. 15 Let c(v) = -v**2 + 4*v + 4*v - 4*v + 0*v - 1. Let o be c(2). Calculate the highest common divisor of o and 1. 1 Let i = 19 + -9. Calculate the greatest common factor of 110 and i. 10 Suppose 14*k - 7*k = 490. What is the greatest common factor of 14 and k? 14 Let t(r) = -r**2 + 6*r + 4. Let q be t(6). Suppose 1 = -h + q. Suppose 2*i = -h + 7. Calculate the highest common divisor of i and 18. 2 Let z = 37 - 2. Let u be (-4)/(-14) - (-550)/z. What is the greatest common factor of 64 and u? 16 Let a be (-26)/91 - (-212)/7. Suppose -5*k + 4*k = -a. Let b = -4 + 24. Calculate the highest common divisor of b and k. 10 Let k(w) = 2*w + 63. Let t be k(0)
{ "pile_set_name": "DM Mathematics" }
-3/4, 1/7, -9 in ascending order. -14, -9, -3/4, 1/7, 1 Sort -4, -163, 0, -2, -3, 5 in increasing order. -163, -4, -3, -2, 0, 5 Sort 15, 4, -145, 0.5, -1/2 in increasing order. -145, -1/2, 0.5, 4, 15 Put -3/8, 11295, 5 in descending order. 11295, 5, -3/8 Put 188, -0.04, 5, 0 in decreasing order. 188, 5, 0, -0.04 Sort 4, 49028, 1. 1, 4, 49028 Put 2/389, -0.064, 2/9 in increasing order. -0.064, 2/389, 2/9 Put 1, 0, 4, -3/22, 4/17, 0.02 in increasing order. -3/22, 0, 0.02, 4/17, 1, 4 Put -5, -6, -8, 40, 3 in increasing order. -8, -6, -5, 3, 40 Sort -4, -0.3, 0.3, -6, -1061 in decreasing order. 0.3, -0.3, -4, -6, -1061 Sort 103, 2, 3, -0.018 in ascending order. -0.018, 2, 3, 103 Sort 2, 1, 28, 53 in ascending order. 1, 2, 28, 53 Put 412, 0.2, -0.08, -3 in ascending order. -3, -0.08, 0.2, 412 Put -5, -1, 7, -19, 2, 13 in increasing order. -19, -5, -1, 2, 7, 13 Put -1/2, -4, 1/3, -0.3, -5, 1663 in decreasing order. 1663, 1/3, -0.3, -1/2, -4, -5 Put -1, 3, -4, 11, 15 in ascending order. -4, -1, 3, 11, 15 Sort -4, 1/5, 7404, 0.5, -10 in ascending order. -10, -4, 1/5, 0.5, 7404 Sort 0.12, 2/3, 4, -6, 0.5, -21 in decreasing order. 4, 2/3, 0.5, 0.12, -6, -21 Sort 5, 4, -0.1098, -0.19, -3, -1/9 in ascending order. -3, -0.19, -1/9, -0.1098, 4, 5 Put -3, -2, 2506 in descending order. 2506, -2, -3 Put 2/5, 0.2, -2411 in descending order. 2/5, 0.2, -2411 Put -3, 2, 2/5, 9, -5/4, 1 in decreasing order. 9, 2, 1, 2/5, -5/4, -3 Put -5, 0.1, -0.168, 3 in descending order. 3, 0.1, -0.168, -5 Put -3191, 124/3, 1/3, 0.2 in decreasing order. 124/3, 1/3, 0.2, -3191 Put 5, -5, -1, -3, -5612 in ascending order. -5612, -5, -3, -1, 5 Sort -110/7, -2/11, 5, -1, 1 in descending order. 5, 1, -2/11, -1, -110/7 Put 0.06, 54, 5, 21, -1/59 in descending order. 54, 21, 5, 0.06, -1/59 Sort -237, 5, 2, 1 in decreasing order. 5, 2, 1, -237 Sort 676, -1/7, 1 in descending order. 676, 1, -1/7 Sort -4, 89931, -5 in descending order. 89931, -4, -5 Sort 3, 4, 57623 in decreasing order. 57623, 4, 3 Sort -22927, 3, -25. -22927, -25, 3 Put 561, 0.1, -12/5 in descending order. 561, 0.1, -12/5 Put 4, -3, 3, -663, 440 in descending order. 440, 4, 3, -3, -663 Sort 3, 1, -649, 24, -5 in decreasing order. 24, 3, 1, -5, -649 Sort 4, 3842, 0, 3 in ascending order. 0, 3, 4, 3842 Put 0, -1, 5, -4, 38 in decreasing order. 38, 5, 0, -1, -4 Put 1/8, 2/9, 1, -0.3, 17, -5 in ascending order. -5, -0.3, 1/8, 2/9, 1, 17 Put 0.4, -0.13857, 4/35, 0 in descending order. 0.4, 4/35, 0, -0.13857 Put -1682, 0.4, -0.1, -34 in decreasing order. 0.4, -0.1, -34, -1682 Put 735, 247, -8 in increasing order. -8, 247, 735 Put 1, 6947, 6, -2, 0 in decreasing order. 6947, 6, 1, 0, -2 Sort -2/5, -255, -2, -4096 in descending order. -2/5, -2, -255, -4096 Put -1, 117, -10 in decreasing order. 117, -1, -10 Sort -3, -214, 1, -9. -214, -9, -3, 1 Sort 4, 5, -1/834 in descending order. 5, 4, -1/834 Sort -1135, -287, 0. -1135, -287, 0 Sort -0.13, 116, -5, 1, 4 in decreasing order. 116, 4, 1, -0.13, -5 Put -3, -7309, 3, -0.4, 2/11, 0.2 in ascending order. -7309, -3, -0.4, 2/11, 0.2, 3 Put 23, 415, -16 in decreasing order. 415, 23, -16 Put 18, -2, 27, 5, 2 in ascending order. -2, 2, 5, 18, 27 Sort 5, -5621, 3, 21, 1 in descending order. 21, 5, 3, 1, -5621 Sort -2, 1, -4, -64, 4, -6 in decreasing order. 4, 1, -2, -4, -6, -64 Put 5, 26981, -3, 17 in decreasing order. 26981, 17, 5, -3 Put -1, 1/2, -2, -4, -0.036, -274 in ascending order. -274, -4, -2, -1, -0.036, 1/2 Sort -2/15, 2, 2/79. -2/15, 2/79, 2 Sort -5, 488, 0, 3 in descending order. 488, 3, 0, -5 Put 1/261, 0.1, -2/15, 3, 0, -2 in descending order. 3, 0.1, 1/261, 0, -2/15, -2 Sort -0.007, 3/5, -31, 0.5 in decreasing order. 3/5, 0.5, -0.007, -31 Sort 0, 50, -308 in increasing order. -308, 0, 50 Sort -1/2, 1/2, 0.9519, 0.3 in descending order. 0.9519, 1/2, 0.3, -1/2 Sort -2523, -2, 39 in increasing order. -2523, -2, 39 Sort -1/49, -2/11, 0.11, 2 in descending order. 2, 0.11, -1/49, -2/11 Sort 0.0227, 3, -17.74. -17.74, 0.0227, 3 Sort 3, -21.2, -0.2, -3, -2/9 in descending order. 3, -0.2, -2/9, -3, -21.2 Put 2, -127, 5, -12, 4 in decreasing order. 5, 4, 2, -12, -127 Put -861, 550, -2 in descending order. 550, -2, -861 Sort 6, -33, -4, -5, 1, -1. -33, -5, -4, -1, 1, 6 Sort 3/4, -29, -2/15, 125, 0 in increasing order. -29, -2/15, 0, 3/4, 125 Put 25, 1, -39, 3, -4 in decreasing order. 25, 3, 1, -4, -39 Put -3, 1, -2175 in descending order. 1, -3, -2175 Put 4236, -2, 0.3 in descending order. 4236, 0.3, -2 Sort 0.4, 0.2, 855, 3, 0.5, -0.5 in increasing order. -0.5, 0.2, 0.4, 0.5, 3, 855 Put -850, 4, -4, 5, -1 in increasing order. -850, -4, -1, 4, 5 Put 0.3, -0.3, 5.76, 3, 5 in increasing order. -0.3, 0.3, 3, 5, 5.76 Sort -61, -2, 27, 1, 8 in decreasing order. 27, 8, 1, -2, -61 Sort -6, -1, -148, -3 in descending order. -1, -3, -6, -148 Sort 3, 0, 184, 4, 15, -4 in ascending order. -4, 0, 3, 4, 15, 184 Put -4, -131, -5, -3, 21 in ascending order. -131, -5, -4, -3, 21 Sort 10, 0.1, -5, -4, 3/4, -2/299 in descending order. 10, 3/4, 0.1, -2/299, -4, -5 Put -7, 4, 30, -33, 5 in increasing order. -33, -7, 4, 5, 30 Sort -1, -3662893, -3. -3662893, -3, -1 Sort 0, -3, -492, 4, -5. -492, -5, -3, 0, 4 Sort 5, -57, 2 in increasing order. -57, 2, 5 Put -6942, -4, 1, 10 in descending order. 10, 1, -4, -6942 Sort -7, 27, -2, 0, 2 in descending order. 27, 2, 0, -2, -7 Put -3, 2, -1853, -9 in ascending order. -1853, -9, -3, 2 Put -6, 1, 34, -4, 7, -7 in ascending order. -7, -6, -4, 1, 7, 34 Sort 8/13, 3/2, 0, 0.1, 1/3, 109. 0, 0.1, 1/3, 8/13, 3/2, 109 Put 81/10, -6, 4 in increasing order. -6, 4, 81/10 Sort 5, -193, -2, -8 in increasing order. -193, -8, -2, 5 Sort 0, -1.1, 1, -1/22, -0.4. -1.1, -0.4, -1/22, 0, 1 Put -1.4, -5, -4, 43 in decreasing order. 43, -1.4, -4, -5 Put 5, -3, -3/2 in descending order. 5, -3/2, -3 Sort -14, 0.9, -21/25 in decreasing order. 0.9, -21/25, -14 Sort 3, 7, -17034 in ascending order. -17034, 3, 7 Sort -1, -470, 339, 3 in descending order. 339, 3, -1, -470 Put -4, 0, 3, 1, 4, -11 in descending order. 4, 3, 1, 0, -4, -11 Sort 4028, -4, 0, 0.9, -3 in descending order. 4028, 0.9, 0, -3, -4 Sort 0.2, -2, 52, -0.03, 5, -3/32. -2, -3/32, -0.03, 0.2, 5, 52 Put -1, -4, -2, -3, 55 in increasing order. -4, -3, -2, -1, 55 Sort 0, 3, -1, 1396, 5, -3 in decreasing order. 1396, 5, 3, 0, -1, -3 Sort 26, 0, -4, -8, -2, -124 in increasing order. -124, -8, -4, -2, 0, 26 Put -83, -24, -3, 4 in decreasing order. 4, -3, -24, -83 Sort -3, 0, -1, 3, -6, -755 in ascending order. -755, -6, -3, -1, 0, 3 Sort -17826, 1, -5 in decreasing order. 1, -5, -17826 Put 2, -2, 22, 4, 0 in decreasing order. 22, 4, 2, 0, -2 Sort 9, 1693, 2, -3 in descending order. 1693, 9, 2, -3 Sort 1, -205, 2, 4, -5 in decreasing order. 4, 2, 1, -5, -205 Put 1, -325, 281 in descending order. 281, 1, -325 Put 4, -15, -5, -18, 1, -19 in ascending order. -19, -18, -15, -5, 1, 4 Sort -1, -133, -243, 4, 0 in increasing order. -243, -133, -1, 0, 4 Put -0.2, -3/17, -2/19, 2, -8, 5 in increasing order. -8, -0.2, -3/17, -2/19, 2, 5 Sort 2/21, 0, -1381. -1381, 0, 2/21 Sort 3, -7, 4, 5, 12, -163. -163, -7, 3, 4, 5, 12 Sort 38, -1/2, -0.16, 0.161, 4, 5. -1/2, -0.16, 0.161, 4, 5, 38 Sort 3, 189, -117, 4. -117, 3, 4, 189 Sort -11, 4, 270, -16, -1, 5. -16, -11, -1, 4, 5, 270 Put -0.07034, 5, -10 in decreasing order. 5, -0.07034, -10 Sort -0.3, -5, -53, 0.4, 0.2, 1.5 in increasing order. -53, -5, -0.3, 0.2, 0.4, 1.5 Put -4.95, 7, 0.1 in ascending order. -4.95, 0.1, 7 Put 1417, -5, -1, 502 in decreasing order. 1417, 502, -1, -5 Sort 27, 1, -3, 221 in descending order. 221, 27, 1, -3 Put 53, -4, 2, 3, -81 in ascending order. -81, -4, 2, 3, 53 Sort 20, 1, -922, 3, 4 in increasing order. -922, 1, 3, 4, 20 Sort 246, 489, -1 in descending order. 489, 246, -1 Put -11, 4, 0, 8, -5 in decreasing order. 8, 4, 0, -5, -11 Sort 0, -0.4, -6, 13/6, -11 in descending order. 13/6, 0, -0.4, -6, -11 Sort 2.238, -4, -0.2, -17/2. -17/2, -4, -0.2, 2.238 Sort 35, 7, -2, -5, -1 in ascending order. -5, -2, -1, 7, 35 Sort 4, 0.2, 2/5, 1.5, 3.9 in increasing order. 0.2, 2/5, 1.5, 3.9, 4 Sort -2475, -0.02, 0.3, 1. -2475, -0.02, 0.3, 1 Sort 0.2, 5, 0.0758, -7 in ascending order. -7, 0.0758, 0.2, 5 Put -1, 3, -3/13, -0.3, -0.5 in ascending order. -1, -0.5, -0.3, -3/13,
{ "pile_set_name": "DM Mathematics" }
ded to the nearest integer? -504 Round -117.0987685 to 1 decimal place. -117.1 Round 172573.87 to the nearest 10000. 170000 What is 8258.11469 rounded to the nearest one thousand? 8000 Round -1230638.01 to the nearest one thousand. -1231000 What is -0.000206157293 rounded to seven dps? -0.0002062 Round -54.466167 to zero decimal places. -54 What is 5389421.4 rounded to the nearest 1000000? 5000000 Round -238683.497 to the nearest one hundred. -238700 What is 43992601 rounded to the nearest 1000000? 44000000 Round -37695203 to the nearest one hundred thousand. -37700000 Round 749863.463 to the nearest 1000. 750000 What is 1.131108 rounded to the nearest integer? 1 What is -66630245 rounded to the nearest 100000? -66600000 What is -1544512290 rounded to the nearest 1000000? -1545000000 What is -0.000003004221231 rounded to seven dps? -0.000003 What is -223203.3022 rounded to the nearest 1000? -223000 Round 0.00000002840701 to seven decimal places. 0 Round -135.172621 to two dps. -135.17 Round 219341.691 to the nearest 100. 219300 What is -6097630200 rounded to the nearest one million? -6098000000 Round -0.3794733743 to 2 dps. -0.38 What is 747399293.1 rounded to the nearest one hundred thousand? 747400000 Round -92830024.3 to the nearest one thousand. -92830000 Round 16270.38835 to the nearest 1000. 16000 What is 496517.9232 rounded to the nearest 100000? 500000 What is 0.177651105 rounded to 5 decimal places? 0.17765 What is -1691570.04 rounded to the nearest 100? -1691600 What is 0.000153261686 rounded to 7 decimal places? 0.0001533 Round 354776.9166 to the nearest one hundred. 354800 Round -14968590.87 to the nearest 100000. -15000000 Round 0.0009821145 to 7 decimal places. 0.0009821 Round -110.69522 to the nearest 10. -110 What is -187844.358 rounded to the nearest ten thousand? -190000 What is 17922.5991 rounded to the nearest one hundred? 17900 What is -1521.709212 rounded to one dp? -1521.7 Round -13233264.696 to the nearest one thousand. -13233000 What is 0.005006193 rounded to 5 decimal places? 0.00501 Round 0.01041854821 to four dps. 0.0104 What is -462307.13 rounded to the nearest 10000? -460000 What is 0.000094122862 rounded to 7 decimal places? 0.0000941 What is 0.0154808441 rounded to three decimal places? 0.015 What is 131177005.6 rounded to the nearest one thousand? 131177000 Round -0.054889876 to three dps. -0.055 What is -2396941800 rounded to the nearest one million? -2397000000 What is 52.569449 rounded to the nearest integer? 53 Round 0.0000200197916 to five dps. 0.00002 What is 0.01929888051 rounded to six dps? 0.019299 What is -194461.06 rounded to the nearest one thousand? -194000 What is 38.5376942 rounded to 0 decimal places? 39 Round -150002825 to the nearest 1000000. -150000000 Round -0.003632315013 to six dps. -0.003632 What is 18.3064455 rounded to zero dps? 18 Round -10977.52227 to the nearest ten. -10980 Round -0.0000271941055 to 6 decimal places. -0.000027 Round -34.4567614 to zero decimal places. -34 Round 14543042 to the nearest one thousand. 14543000 What is 0.00001199286983 rounded to 6 decimal places? 0.000012 What is -1.165517405 rounded to three decimal places? -1.166 What is 191.877736 rounded to the nearest 10? 190 What is -400.58775357 rounded to the nearest 10? -400 Round -42542939 to the nearest one hundred thousand. -42500000 What is 0.00000057994132 rounded to seven decimal places? 0.0000006 What is -0.0876398624 rounded to 2 dps? -0.09 Round 33962297.88 to the nearest ten thousand. 33960000 Round -8756359.123 to the nearest 100000. -8800000 What is 0.054850812 rounded to 4 decimal places? 0.0549 Round 4220084373 to the nearest one hundred thousand. 4220100000 Round 2885.0446 to 0 dps. 2885 Round 38.8161473 to 0 decimal places. 39 Round 47137.0211 to the nearest 100. 47100 Round 2586208670.4 to the nearest 10000. 2586210000 What is 9.24516843 rounded to the nearest integer? 9 What is -0.0000320876585 rounded to 6 dps? -0.000032 Round 58679584 to the nearest one million. 59000000 Round -0.00000649112905 to 7 decimal places. -0.0000065 What is 2504.39487 rounded to the nearest ten? 2500 Round -1.89315231 to 0 dps. -2 What is -0.00539954449 rounded to three dps? -0.005 Round 2916607.508 to the nearest 1000000. 3000000 What is 5.7079963 rounded to the nearest integer? 6 Round -8764433953 to the nearest one million. -8764000000 What is -0.0584590679 rounded to two decimal places? -0.06 Round 0.0722190735 to five dps. 0.07222 What is 2165807.35 rounded to the nearest 100000? 2200000 What is 0.00684757762 rounded to 3 dps? 0.007 Round -0.0004346822683 to six decimal places. -0.000435 What is 0.10532501 rounded to two decimal places? 0.11 What is 1801565462 rounded to the nearest 100000? 1801600000 What is -0.1510804863 rounded to four dps? -0.1511 Round -0.00034088991 to 7 decimal places. -0.0003409 Round -95.838116 to the nearest one hundred. -100 Round -53414.40899 to the nearest one hundred. -53400 What is -1674289.5 rounded to the nearest one hundred thousand? -1700000 What is -5976.5538 rounded to the nearest one hundred? -6000 Round -0.00248718589 to five dps. -0.00249 What is 14280700.112 rounded to the nearest ten thousand? 14280000 Round -0.231561719 to 5 dps. -0.23156 What is -0.46292384 rounded to four dps? -0.4629 Round -21391.84249 to 0 dps. -21392 What is -2.41762721 rounded to four decimal places? -2.4176 What is -10.632044672 rounded to the nearest integer? -11 Round -4.135869 to the nearest integer. -4 Round 3142790.4 to the nearest 10000. 3140000 Round -0.07416323099 to four decimal places. -0.0742 What is 91243.71422 rounded to the nearest ten? 91240 Round -0.0616408665 to 3 decimal places. -0.062 Round 0.005057965947 to four dps. 0.0051 Round 0.00292309455 to 3 decimal places. 0.003 Round -0.000231993436 to 7 dps. -0.000232 Round -0.0276053787 to 4 decimal places. -0.0276 What is -387367.704 rounded to the nearest 10000? -390000 What is 0.007671747363 rounded to 6 dps? 0.007672 What is -0.0000064327364 rounded to 7 dps? -0.0000064 Round 0.000018939615265 to seven decimal places. 0.0000189 Round 250945.865 to the nearest 100000. 300000 Round -33098867 to the nearest one million. -33000000 Round 4804108 to the nearest one hundred thousand. 4800000 Round -0.003269079928 to 4 decimal places. -0.0033 What is 0.0161461092 rounded to five decimal places? 0.01615 Round 81.69010645 to 0 decimal places. 82 Round -112.80972 to the nearest integer. -113 Round -19162.420367 to the nearest 10. -19160 Round -273502.14 to the nearest 100. -273500 Round 1279302.939 to the nearest one thousand. 1279000 Round 0.150073659 to 3 dps. 0.15 What is 0.2208578693 rounded to four dps? 0.2209 What is -164.038992 rounded to the nearest ten? -160 Round -48672449.4 to the nearest one hundred thousand. -48700000 What is -1669065.92 rounded to the nearest one hundred thousand? -1700000 What is -0.000000346019361 rounded to 7 dps? -0.0000003 Round 132.022997 to the nearest 10. 130 What is 163.099788 rounded to one dp? 163.1 What is 14804.628201 rounded to the nearest one thousand? 15000 What is 1.1219224444 rounded to 4 decimal places? 1.1219 What is 0.373156936 rounded to 3 dps? 0.373 Round -0.00945066367 to seven decimal places. -0.0094507 What is -168.443178 rounded to the nearest integer? -168 Round -232342.197 to the nearest 1000. -232000 Round 0.000323721281 to four decimal places. 0.0003 Round 4.358111936 to 2 decimal places. 4.36 Round -12747400700 to the nearest one million. -12747000000 What is -6874.91315 rounded to the nearest 1000? -7000 What is 249386.523 rounded to the nearest 10000? 250000 Round -512.8139575 to the nearest one hundred. -500 Round 184.157181 to zero decimal places. 184 Round 359.27471 to the nearest integer. 359 What is -178073.6253 rounded to the nearest 10000? -180000 Round 620.17422 to one dp. 620.2 Round 490811.443 to the nearest 10000. 490000 What is -0.21188272 rounded to three decimal places? -0.212 Round 0.00734177589 to 3 decimal places. 0.007 What is -142.8074156 rounded to two dps? -142.81 What is -14318.7563 rounded to the nearest one thousand? -14000 What is 0.1378494517 rounded to five decimal places? 0.13785 Round 0.091220506 to four decimal places. 0.0912 What is -0.0
{ "pile_set_name": "DM Mathematics" }
14*w + 2. Let d be l(z). Let s(h) = 2*h**2 - 10*h + 3. Is s(d) prime? False Let v be -30 - -28 - (1 + -20). Suppose 3231 = -v*j + 18140. Is j prime? True Let g be (-4)/((-2)/(-1)) - -116. Let l(i) = 9*i**2 + 10*i - 1. Let h be l(4). Let j = h - g. Is j prime? False Suppose -5*o + z - 19 = 0, -z - 10 = 3*o - 5. Is ((-1)/(3/1392) - o)*-5 a prime number? False Suppose 7*n - 19 = 9. Suppose -s + g = -1764, n*s - 3*g - 2461 = 4593. Suppose s = 2*y - 4*z, -130 = 5*y - 4*z - 4553. Is y a composite number? False Let l(w) = 2*w**2 + 8*w + 22. Let g be l(-9). Let z = g - 123. Is (z/((-66)/(-3452)))/(2/(-3)) a prime number? True Suppose -28*j + 25*j - 35397 = 0. Let s = j - -21388. Is s a prime number? False Suppose 0 = -4*y - 0*y. Suppose 0 = -5*v + 4*w + 3329, -21*v - w + 2680 = -17*v. Suppose 2*j + s - 1348 = 0, j + y*j - 2*s - v = 0. Is j prime? True Suppose 122*d = 137*d - 992535. Is d a prime number? True Let m(t) = t**3 + 12*t**2 + 23*t + 15. Let j be m(-10). Let h be 3/(9/4)*j/(-10). Is -2*4202/(-4) - h a prime number? True Suppose y - v - 365758 - 87789 = 0, 2*y + 2*v - 907118 = 0. Is y a composite number? False Let c(b) = 229*b - 24. Is c(5) a composite number? True Let i(b) = 68*b**2 + 7*b + 94. Suppose -15*c + 82 = 217. Is i(c) prime? False Let r = -1475774 - -2261397. Is r composite? False Let g = -631495 + 1016108. Is g prime? False Let n = -3 - 7. Let w be (-1)/2 + (-275)/n - -1. Suppose -17*v = -13*v - w. Is v prime? True Let p be ((-57)/(-21) - 3) + 37/7. Suppose -p*h - 3*f = 1506 - 7087, -3*h - f + 3347 = 0. Is h composite? True Let r(b) = 1703*b + 78. Let s be r(-11). Let x = -10470 - s. Is x prime? False Suppose -4*c + 5 = -5*z, 4*z = 5*c + 7*z - 34. Suppose 2*j = -c*j + 5019. Is j a composite number? True Let y(l) be the first derivative of l**4/4 + 6*l**3 + 5*l**2/2 - 3*l + 1. Let i be (-10*3/15)/(4/34). Is y(i) a prime number? False Let n(j) = 203*j**2 + 25*j + 57. Let c(t) = 143*t**2 + 17*t + 38. Let q(b) = 16*c(b) - 11*n(b). Let v = 0 - 3. Is q(v) prime? False Suppose 49*m + 139*m = 33484116. Is m a composite number? True Let q(c) = 451 - 142*c - 365 + 9*c - 62*c. Is q(-19) a prime number? False Let g = -6704 - -12501. Suppose -27027 = -5*l + 4*m + 1936, l - g = 3*m. Is l prime? True Is (2054/(351/27))/((-4)/(-10774)) prime? False Suppose 0*q - 4*d - 152 = 4*q, 3*q - 4*d = -100. Let s = q + 22253. Is s prime? False Suppose 0 = 39*u - 70*u + 93. Suppose -3*p + 7 = -2. Suppose -5*m = p*w + u - 672, 2*m = 3*w - 669. Is w prime? True Suppose 8*f - 7*f + 6915 = -5*o, -3*f = 4*o + 5532. Let p = 5176 + o. Is p a prime number? True Let l(p) = 23 - 29*p**3 + 11*p**3 + 13*p**3 + 4*p - 5*p**2. Is l(-6) a prime number? False Suppose 2*h - 19 = t - 3, -3*t + 22 = 4*h. Let j be (-30225)/(-12) - (7/(-4))/h. Suppose m - j = -4*y, 0*m + 15 = 5*m. Is y a prime number? False Let v = -14 - -19. Let k be (-4)/(-10) - (-13)/v. Suppose k*f + f = 10012. Is f a prime number? True Is (5 + 314808/16)/((-3)/(-6)) composite? True Let t = 332 + -335. Let i(x) = -x**3 + 3*x + 0 + 0*x**3 + 1. Is i(t) a composite number? False Suppose 35*h + 2*s + 9846542 = 39*h, 5*h = s + 12308182. Is h a prime number? True Let g be (-60)/150 - (-2)/(-10)*-47. Let y(k) = -11 - g + 39 + 158*k. Is y(3) prime? False Let x = 27388 + -10425. Is x a composite number? False Suppose -3 = 3*g, 18*i + 9*g - 11*g = 4984040. Is i a prime number? False Suppose -2351*c = -2355*c + 2734844. Is c a prime number? False Let g = -1877 + 3407. Suppose -11*b + 1022 = -9*b - 4*y, 3*b - 3*y = g. Is b a composite number? False Let k = 64167 + -5690. Is k composite? False Let d be 1 - 9/3 - -79. Suppose -80*l + 19428 = -d*l. Suppose 0 = b + 3, -5*b = 5*p - 2*b - l. Is p prime? True Let t = -2375 - -2380. Suppose 4*o = 4*k + 4, k - 2*o - 3*o + 21 = 0. Suppose t*q - 20 = 0, 2*r = k*q - 9*q + 814. Is r prime? True Suppose -q + 162 = 5*q. Let t(l) = l**2 - 5*l - 67. Is t(q) a prime number? False Suppose -1989234 - 2099912 - 455901 = -13*n. Is n a prime number? False Let r(y) = 1196*y - 32. Let t be r(3). Suppose -11*w - t = -15*w. Is w a composite number? True Let x(b) = 491*b**2 - 6*b - 14. Suppose 12 = -4*m + 6*f - f, 0 = -3*m - 3*f - 9. Is x(m) prime? True Let r(a) = 12*a + 93. Let k be r(-4). Is (112245/k)/(0 + 3/9) a composite number? True Suppose -366*t - 1334401 = -3*n - 370*t, -3*n = -5*t - 1334338. Is n prime? True Let u(a) = 430*a**2 + 15*a - 873. Is u(16) a composite number? True Suppose 3*l + d - 514490 = 0, 466830 + 219187 = 4*l - 3*d. Is l a prime number? False Suppose 7*d = 26*d + 29*d - 14910096. Is d prime? True Let i(g) = -26*g + 25. Let k be i(-15). Let m be k/10 - (-1)/2. Suppose 4*x - 2*t - 60 = 2*t, 5*t - m = -4*x. Is x prime? True Is -7 + 2278/306 - 19087138/(-18) a composite number? True Suppose 42*m = 3 - 3. Suppose m = 25*k - 5574 - 8201. Is k prime? False Let l = 696 - 692. Suppose 16*g + 68939 = l*a + 19*g, -4*a = g - 68929. Is a a prime number? True Let m(n) = n**2 - 8*n - 4. Let b be m(9). Suppose -b*w + 7065 + 860 = 0. Is w prime? False Let i(z) = 325*z + 64. Is i(3) a composite number? False Let a = 16543 + 58936. Is a prime? True Let s(h) = 2*h + 5. Let b(g) = g**2 - 5*g - 16. Let l(j) = 2*b(j) + 7*s(j). Let o be l(-3). Suppose 0 = o*t - 10*t + 887. Is t prime? True Suppose -4*o + 2*o - 2*v = 4, 3*o - v - 2 = 0. Suppose 0 = -16*t - 126 + 62. Is t - ((o - 2) + -1591) a composite number? True Suppose 1993809 = 178*t - 3693469. Is t a composite number? True Let c(h) = 603*h**2 - 6*h - 1. Let r be c(-4). Suppose 7*t - r = -2*a + 10*t, -4*a = -3*t - 19333. Is a a composite number? False Let z(j) = -j**3 + 2*j**2 + 3*j. Let x be z(4). Let f be (18/15)/((-6)/x). Suppose 10 = -f*u - 6, 0 = -4*o + 2*u + 444. Is o prime? True Let f(v) = -v**3 + v**2 - v + 1. Let u(b) = -37*b**3 - 9*b**2 - 12*b - 16. Let p(d) = -3*f(d) + u(d). Is p(-6) a prime number? True Let l = -360 - -171. Let o = 398 + l. Is o composite? True Suppose 4*g - 3*y = 2*g, -2*g - 2*y = 10. Let w be (g/(-6))/(1/8). Suppose -3*b + 763 = w*c, b - 4*c + 80 = 313. Is b a prime number? False Let u be (-395)/(-4) - 3/(-12). Let d = 802 - 824. Let y = u + d. Is y a prime number? False Suppose -13*z = -32*z + 61769. Is z prime? True Let a = -5195 + 9721. Let w = -1515 + a. Is w composite? False Is (((-6)/(-8))/(126/(-28)))/((-16)/34717152) prime? True Suppose 5*w - 2*w - 50 = -5*v, 40 = 5*v + w. Let b be (3 - 1)/(v - 6). Suppose 0 = -b*r - 3*r + 3*c + 15665, 0 = 3*c. Is r a prime number? False Let t(l) = 146*l**2 + 19*l - 73. Let d = 112 + -106. Is t(d) a prime number? True Let o(l) = -2*l**3 - 6*l**2 + 3*l - 12. Let p be o(-7). Suppose 3*q - p = -2*y - 0*q, -5*q = -2*y + 319. Suppose 7*f + y = 9*f. Is f a prime number? False Suppose 5*k + 2*v = 879451, 0 = 2*k - 2*v - 542327 + 190541. Is k a prime number? True Let i = -40 + 43. Suppose -5*o - 2*z = i*z, z - 8 = 3*o. Is -6 + 1024 + (o - -2) a composite number? True Is 44146*(-13)/(-18) + 58/(-261) prime? True Suppose -60831 + 4269 = -22*g. Let w = g + -1490. Is w a prime number? False Let m = 121 + -65. Suppose 3*t - 193 - m = 0. Let g = 122 - t. Is g composite? True Is 38 + 14 + -58 - (1 - 218252) a prime number? False Suppose 14*h = 8*h - 4350. Let o = h - -1603. Suppose 2*q - 956 = o. Is q prime? False Suppose 19 = -0*i + 4*i + 5*y, -y = 3*i - 17. Suppose -5262 = -0*j - i*j. Is j composite? False Is 7*(-5)/(-105)*23691 prime? False Suppose 9*f + 2*m = 12078015, -6 + 36 = -5*m. Is f a composite number? True Let n = 188 + 205. Suppose -n*t + 389*t + 212 = 0. Is t composite? False Let x be 1*2*(-147)/(-98). Suppose 0 = -x*t, -3*t - 887 = -2*z + z. Is z composite? False Suppose -4*d - 50 = -2*f, 2*f = f - 5*d + 18. Let u(q) = 164 + q**2 + 22*q - f*q + 209. Is u(0) prime? True Suppose g = y, 2*y = -0*y - 3*g + 10. Suppose -4*j - 6 = -y*r, 0 = j - 6*j + 5*r - 15. Is (11 + j)/(4/20) a prime number? False Let a = 56 - 58. Let u be (a - -2)/(9 - 11). Suppose -2*p + 382 = -u*p. Is p a prime number? True Suppose 3*l - 263939 = -158*z + 160*z, 5*z - 10 = 0. Is l a prime number? False Let l be (-24)/(-9)*(-5)/(20/42). Let j = l + 36. Suppose 3*p - 3164 = -4*h, -p = 4*h - j*h + 3180. Is h a prime number? False Suppose -v - 5*z = -0*v + 14432, 4*z + 43296 = -3*v. Let h = 25783 + v. Is
{ "pile_set_name": "DM Mathematics" }
(b) -1/3 (c) g c Let s(r) = 3*r - 13. Suppose 2*j - 6 = j + 3*l, 3*l + 9 = 2*j. Let g be s(j). What is the smallest value in -5/2, g, 0.2, -3? g Let t = -0.14 - 2.83. Let z = -6.03 + t. Which is the third smallest value? (a) z (b) -2 (c) 1/3 c Let k be (-8)/(32/(-10))*12/5. Let z = -52.7 - -53. What is the second smallest value in k, -3/5, z, 3? z Suppose -3*u - 21 = -5*p - 0*p, 5*p + 2*u - 11 = 0. Let o = 17667 + -17671. What is the second biggest value in -3, -0.2, o, p? -0.2 Let i = 1933 - 1933. Let b = -1.4 - -1.3. What is the smallest value in -3/4, -6/19, b, i? -3/4 Let m = 3 - 3.5. Let j = 17.305 - 17.905. What is the second smallest value in -0.4, j, m, -3? j Let l = 320.327 + 0.673. Let m = -321 + l. What is the second biggest value in 24, m, 3? 3 Let w = -20 - -24. Let h be (-8 - 2)*4/(-10). Suppose -n + h = 2. What is the third biggest value in -2, w, n? -2 Let v = 13050 - 13077. Which is the third biggest value? (a) -2/13 (b) v (c) 0 b Suppose 148355*h - 148347*h = -8. Suppose 4*g + g = 20. Which is the third biggest value? (a) g (b) -2/27 (c) h c Let l = -5.7 - -6. Let v = -1/6095 - -79262/164565. Let f = v - -5/27. What is the fourth smallest value in l, f, -0.1, 3? 3 Let v(k) = -6*k + 156. Let f be v(33). Let c be (-57)/84 + f/(-98). What is the biggest value in 2, 0, 16, c? 16 Let j = 151.941 - 152. Let r = -2.059 - j. Which is the fourth biggest value? (a) 2 (b) r (c) 5 (d) 1/5 b Suppose 134*x + 182*x = -1580. Which is the smallest value? (a) -0.5 (b) -1/5 (c) x (d) 872/9 c Suppose 5*x + 31 = -q, 5*x - 5 = 2*q - 18. What is the third biggest value in -3, x, -756? -756 Let g = -7.02 + 7. Let p = -0.05 - g. Let q be 30/140*7*2. What is the third biggest value in -0.3, q, p? -0.3 Let o = -131/5 - -107/5. What is the fourth smallest value in -0.1, 5, 0.3, o? 5 Let y = 1.1389 - 0.9389. What is the third biggest value in 32, 0.5, y, 1, -0.4? 0.5 Let y = -27.9 + 28. Let q = 28.3 + -28.5. Which is the biggest value? (a) y (b) q (c) -9 a Let p = 846.5 + -846.28. What is the third biggest value in 6, 2/13, p? 2/13 Let l = -2.3006 - -4.3006. What is the fourth smallest value in -3/4, -6, l, 0? l Let n = -12722 - -12716. What is the second smallest value in 0.1, n, 28, -2, -3? -3 Let x = 1587 - 1988. What is the smallest value in x, -3, 1/2, 4? x Let o = 10 - 8. Let b = -0.076 - -65.776. Let h = 66 - b. What is the third biggest value in h, o, 10? h Let y be 0/264*(-2)/(-12)*-2. Let b = 0.05 + -0.35. What is the smallest value in y, b, -5? -5 Let r = -1 + 0.7. Let x be ((-1)/6)/((-1)/(-4)). Suppose 41*u - 37*u = -2*a - 68, -5*a + 82 = -4*u. What is the biggest value in 0.4, r, a, x? a Let u(w) = w**2 - 33*w - 22. Let v be u(34). Let c be (v/(-4))/((-33)/(-2)). What is the smallest value in -5/3, 0.1, c, -4/9? -5/3 Let i be 200/(-216) + 1 - (-132)/405. Let y = 359 - 14363/40. Let r = -141/280 - y. Which is the smallest value? (a) -1 (b) r (c) i a Let p = 21124 - 105618/5. What is the fourth biggest value in -3/7, 36, p, 1/2? -3/7 Let x = 390 + -391. Which is the third biggest value? (a) x (b) 2 (c) -6 (d) 16 a Let w = -47 - -236/5. Let l = 106 - 107. Let q = -10 - -10. Which is the third smallest value? (a) l (b) w (c) q b Let g = 3470.9 + -770.9. What is the third smallest value in -0.5, g, 0.2? g Suppose 4*i = -w + 12, 6*w - 4 = 10*w + 3*i. Which is the fourth biggest value? (a) 2 (b) 222 (c) w (d) 4 c Let i = 28519.05 + -28519. Let r = 4 + -7. Which is the second smallest value? (a) r (b) 2/7 (c) i c Let k = -0.53504 + 0.13504. Which is the fifth smallest value? (a) 5 (b) k (c) 4 (d) -4 (e) -54.8 a Suppose -4*a + 3*y = y - 284, 268 = 4*a + 2*y. Let s = -72 + a. Let x = -14/13 + 29/39. What is the third smallest value in -2, s, x? x Let u = -1.15 - -53.15. Let z = u - 50.47. Let y = 1.5 - z. What is the third biggest value in y, -5, -2? -5 Let y(i) = i**2 + 17*i - 110. Let f be y(-22). Let k = -6 - -5.7. Let p = -12 + 11/2. What is the second smallest value in -4, p, k, f? -4 Let k = -0.03812 + -2.01188. Which is the smallest value? (a) 0.4 (b) 0.5 (c) k c Let s be 8 - (8 + -12) - -97. Which is the second smallest value? (a) s (b) 3 (c) -0.7 b Suppose 2*r - 39 = 5*y, -r - 2*r - 4*y = -24. Let j be 16/(-60) + 2/r. Let u = 3/10 - j. What is the second smallest value in -5, 4, u? u Let q = -882/2413 + -3939904/9012555. Let u = 2/747 + q. Which is the smallest value? (a) u (b) -4 (c) -6 c Let c(r) = r**3 - r**2. Let u be c(-1). Let i = 6383 - 6380. What is the second biggest value in i, -3/8, u? -3/8 Let p = -204 + 190.1. Let f = p - -9.9. Let y = -0.15 + 0. What is the smallest value in y, f, -0.2? f Let k = 7 - 9. Let i be 5 + -4 - (261/(-18) - -18). Let y = -1 + 2. What is the third biggest value in i, k, y? i Let g = 233.39 + -224.19. What is the second biggest value in g, 0.2, -2/13? 0.2 Let n = -2/8397 - 16780/58779. What is the smallest value in -3.8, n, -2/19, 2, -0.3? -3.8 Let o = -0.0499 - -0.3299. Let g = o + 21.72. Which is the biggest value? (a) -1 (b) -4 (c) -1/8 (d) g d Let a = -764.31 - -771. Let f = 6.89 - a. What is the third biggest value in 9/2, 3/4, f? f Let y be 18/30*(0 - 4/6). Let g = 18133/1953 - -2/1953. Which is the third biggest value? (a) g (b) y (c) -3/4 c Let f = 0.1 - 0.2. Let n = -594056 - -594044. What is the biggest value in 0.06, -1/8, n, f? 0.06 Let d = 240 + -245. What is the second smallest value in d, 1/12, 0.06? 0.06 Let h = 59.33 - 50.33. Which is the biggest value? (a) h (b) -2/5 (c) 1/2 (d) 0 a Let x(w) = 2*w**2 + 5*w - 7. Let k be x(-6). Let i = 17 + k. Let n = -441 - -443. What is the biggest value in n, -2/7, i? i Let a = -65 + 64.8. Suppose -n + 134 = -h, 0*n = -h + 3*n - 140. Let c = -136 - h. What is the fourth biggest value in -1/8, c, a, -0.3? c Let r = -349.83 - -349.33. Which is the smallest value? (a) -1/3 (b) r (c) 0.5 (d) 9 (e) 6 b Suppose -7*o + 30*o + 92 = 0. What is the second biggest value in -0.05, o, 1/11, 0, 3? 1/11 Suppose -5133*c = -5099*c. What is the third biggest value in -1, 0.1, 0.3, c, -2/15? c Let z = -669 + 394. Let s = z + 271. What is the third biggest value in s, -0.5, -221? -221 Let w = 166 - -129. Let r = 294.9 - w. Let i = -2.5 - -3. Which is the third smallest value? (a) r (b) i (c) 28 c Let q = -2.24 - -4.34. Let c = q + -2.1. What is the smallest value in -2/13, -5, 0.3, c? -5 Let z = -0.729 + 0.329. Let w be -4 - (-45 + (0 - 0)). Let l = w + -45. What is the third smallest value in l, z, 5? 5 Let n = -17772.2 - -17772. Which is the smallest value? (a) 0.2 (b) 1 (c) n (d) 0 (e) -2/3 e Suppose 7 = -13*w + 98. Let q = -25.47 - -30.47. What is the second smallest value in w, q, -28? q Suppose -35 = -2*x + 2*m + 61, -270 = -5*x - m. Suppose 4*g + 4*c + 12 = 0, -4*g + 2*c + x = 59. What is the third biggest value in 0.4, g, 1/12, 4? 1/12 Let n = 15 - 35. Let v = 9265 + -9265.4. What is the second biggest value in n, -1/7, v? v Let j = 3/9458 + -37853/66206. Which is the smallest value? (a) -0.12 (b) -20 (c) j b Let v = 391 + -667. Let t = v - -276.4. Let g = -0.41 - -0.01. What is the fourth smallest value in t, g, -2, 0? t Let s = 6663 - 6663.07. What is the fourth biggest value in 2/5, -0.1, 5, s? -0.1 Let k = -20.5 - 1.3. Let v = 21.7 + k. What is the third smallest value in -3/11, 5, v, 0.3? 0.3 Let m = -4786 - -4782. What is the fourth biggest value in m, 5, 2, 0.2? m Let z = -1214 - -1214.2. Let g = 2 - 5. What is the third smallest value in 3, g, z? 3 Let y = 436 - 4798/11. Which is the third biggest value? (a) 1131 (b) 5 (c) y c Let d be (-6)/(-70) + (-6)/21. Suppose 0 = 9*w + 5*k + 80, 2*k = 3*w + 2 - 1. What is the smallest value in w, d, 5, -9? -9 Suppose -2 = -2*s + 2*d, -118*s + 113*s - 4*d + 32 = 0. Which is the third biggest value? (a) -3 (b) -0.0393 (c) s a Let w = 0.06 - 2.06. Let x be (1/(-3))/(19/(1254/44)). Which is the second biggest value? (a) 1 (b) w (c) 5 (d) x a Let c = -0.191 + -0.009. Let g = -0.117 + 22.117. What is the third smallest value in c, g, 2? g Let m = -16.06 - -16.26. Let l be 7/(-22) + 10/20. What is the third biggest value in -2/19, l, -32, m? -2/19 Let b = 5618 + -5617. What is the biggest value in b, 8, -530, 0? 8 Suppose 0 = 3*
{ "pile_set_name": "DM Mathematics" }
0000 Round 4606366.62 to the nearest 1000000. 5000000 Round 7619.3958 to the nearest one hundred. 7600 Round -2930693.05 to the nearest ten thousand. -2930000 Round -0.0000161631687 to seven decimal places. -0.0000162 Round 0.049338688 to one dp. 0 Round -7718611 to the nearest 1000. -7719000 What is 0.0000372502312 rounded to 6 dps? 0.000037 What is -0.001308150677 rounded to four decimal places? -0.0013 Round 1226597.74 to the nearest one thousand. 1227000 What is -0.296567271 rounded to 5 dps? -0.29657 Round 1904.258908 to the nearest ten. 1900 Round -929.77533 to the nearest ten. -930 What is -0.1773711958 rounded to 2 decimal places? -0.18 What is 12.04504043 rounded to three dps? 12.045 Round -0.0000158096453 to six decimal places. -0.000016 What is -1320.75294 rounded to the nearest 1000? -1000 Round 75621011.98 to the nearest 10000. 75620000 What is -15988643.02 rounded to the nearest one million? -16000000 Round 240384434 to the nearest one thousand. 240384000 Round 12119675650 to the nearest 100000. 12119700000 Round -230871408 to the nearest 1000000. -231000000 What is -2174.2779 rounded to the nearest one hundred? -2200 Round 2334.78845 to the nearest 100. 2300 What is -0.1291639531 rounded to two dps? -0.13 Round 0.566027 to one decimal place. 0.6 Round -54714.016 to the nearest 1000. -55000 Round -0.90721599 to 4 dps. -0.9072 Round 30.90752225 to 0 decimal places. 31 What is 786.807172 rounded to 2 decimal places? 786.81 Round -1259.12291 to one decimal place. -1259.1 What is -98200034.7 rounded to the nearest 10000? -98200000 What is 2.77940204 rounded to four dps? 2.7794 Round 192.414816 to 1 dp. 192.4 Round -0.000915600911 to 5 decimal places. -0.00092 Round 47.1363102 to three dps. 47.136 Round -2307766.7 to the nearest one thousand. -2308000 What is 0.00027097814 rounded to 6 dps? 0.000271 Round -57680195 to the nearest 100000. -57700000 Round -0.422068761 to four decimal places. -0.4221 What is 102.2938159 rounded to three dps? 102.294 Round 0.0000406151701 to 7 decimal places. 0.0000406 Round -100158.129 to the nearest ten thousand. -100000 What is -113118.7151 rounded to the nearest 10? -113120 Round 0.32604755 to 2 decimal places. 0.33 What is 0.084276841 rounded to 3 dps? 0.084 Round 2.86769934 to 4 dps. 2.8677 Round 0.00133134262 to six dps. 0.001331 What is 1193049390 rounded to the nearest one hundred thousand? 1193000000 What is 6.63823595 rounded to 3 decimal places? 6.638 Round 0.005294395716 to 3 decimal places. 0.005 Round -0.49624802 to two dps. -0.5 What is 1903894961 rounded to the nearest 1000000? 1904000000 What is -5132189.4 rounded to the nearest 100000? -5100000 What is -813.13563 rounded to 1 decimal place? -813.1 Round 0.00167482489 to 4 decimal places. 0.0017 What is -174.0926985 rounded to 0 decimal places? -174 Round -782161300 to the nearest 100000. -782200000 Round 0.000399640176 to 6 decimal places. 0.0004 What is 0.000000069793141 rounded to seven dps? 0.0000001 What is 9416.1061 rounded to the nearest 1000? 9000 What is -0.000199438769 rounded to 4 decimal places? -0.0002 Round 1.120157855 to 4 dps. 1.1202 What is -0.1916304398 rounded to two dps? -0.19 Round 2637533.985 to the nearest 100. 2637500 Round -7128555.15 to the nearest 1000000. -7000000 What is -1557.845374 rounded to the nearest ten? -1560 Round 0.008492377 to 3 decimal places. 0.008 Round -4387.671112 to the nearest one thousand. -4000 What is 0.0144748685 rounded to 5 decimal places? 0.01447 What is -2683733.505 rounded to the nearest ten thousand? -2680000 Round -4811.8673 to the nearest one thousand. -5000 What is 1668836.74 rounded to the nearest one hundred? 1668800 What is 0.72190224 rounded to 1 dp? 0.7 Round 0.04102514509 to 3 dps. 0.041 Round 0.0375751205 to four decimal places. 0.0376 Round 3071.7721 to zero decimal places. 3072 What is -56660.673 rounded to the nearest 1000? -57000 What is -0.07826413195 rounded to four dps? -0.0783 What is -0.00046685819 rounded to four dps? -0.0005 What is 78934.218 rounded to the nearest ten thousand? 80000 What is -0.000015381172594 rounded to seven dps? -0.0000154 Round -11050871063 to the nearest one million. -11051000000 Round 1349.8738703 to 2 dps. 1349.87 Round 0.0141077932 to 3 dps. 0.014 Round -0.0000427073095 to 5 decimal places. -0.00004 What is 0.640622877 rounded to two decimal places? 0.64 What is -0.0000017817793 rounded to 5 decimal places? 0 Round -0.00000695106895 to six dps. -0.000007 Round 1.06275937 to four decimal places. 1.0628 What is -0.000505338157 rounded to 4 decimal places? -0.0005 What is 307.610067 rounded to 1 decimal place? 307.6 Round 4777.50275 to 1 dp. 4777.5 What is 28925.5078 rounded to the nearest one hundred? 28900 Round 37088300400 to the nearest one million. 37088000000 What is -1132538800 rounded to the nearest one hundred thousand? -1132500000 What is 19.49729 rounded to one decimal place? 19.5 Round -3511.2127 to the nearest ten. -3510 What is 0.000356897927 rounded to 7 decimal places? 0.0003569 Round -116571.35 to the nearest 10. -116570 What is -0.00046533377 rounded to 4 dps? -0.0005 What is 6029754.71 rounded to the nearest 1000? 6030000 What is -0.00120355121 rounded to 6 dps? -0.001204 What is -0.008286772 rounded to four dps? -0.0083 Round 6598268.1 to the nearest one million. 7000000 Round 0.7565504023 to 4 decimal places. 0.7566 Round 144652.732 to the nearest one thousand. 145000 Round 1702.285557 to one dp. 1702.3 Round -631.9705245 to two decimal places. -631.97 What is 0.01729054212 rounded to 6 decimal places? 0.017291 What is -76476621.9 rounded to the nearest ten thousand? -76480000 What is 2335.246583 rounded to one decimal place? 2335.2 What is 0.218546564 rounded to 2 dps? 0.22 What is 0.01123046448 rounded to 6 decimal places? 0.01123 Round -386693.447 to the nearest one hundred. -386700 Round -14532114.9 to the nearest 1000. -14532000 What is -0.00008311459764 rounded to six decimal places? -0.000083 What is 0.00002749663755 rounded to six dps? 0.000027 Round -0.0000003079754091 to seven decimal places. -0.0000003 Round -0.000057062441 to six decimal places. -0.000057 Round -0.000177281504 to 5 dps. -0.00018 What is 11935369.6 rounded to the nearest 1000000? 12000000 Round 0.084411511 to two dps. 0.08 Round -0.0001496444193 to seven decimal places. -0.0001496 What is -0.000684958866 rounded to four decimal places? -0.0007 Round 80102.633 to the nearest ten thousand. 80000 What is 0.000028827426 rounded to 6 dps? 0.000029 What is -0.0000022813193 rounded to six decimal places? -0.000002 What is -568319789.8 rounded to the nearest ten thousand? -568320000 What is 0.0009803097903 rounded to 7 decimal places? 0.0009803 What is 8469167.55 rounded to the nearest one thousand? 8469000 Round 0.1983601929 to five dps. 0.19836 Round 0.000647292243 to 4 dps. 0.0006 Round -104.054027 to 2 decimal places. -104.05 What is -3024.83739 rounded to the nearest one hundred? -3000 Round 691.97023 to the nearest ten. 690 What is -0.0002391370007 rounded to 5 dps? -0.00024 Round 693670.78 to the nearest 1000. 694000 Round -1407248380 to the nearest 1000000. -1407000000 What is 0.000185709694 rounded to seven decimal places? 0.0001857 What is 12.314335 rounded to two decimal places? 12.31 What is -4645977.2 rounded to the nearest ten thousand? -4650000 What is -581.27805 rounded to the nearest 10? -580 What is 7572169.74 rounded to the nearest 1000? 7572000 What is -4733.53512 rounded to 1 dp? -4733.5 Round 0.00005856356762 to five decimal places. 0.00006 What is -1979000620 rounded to the nearest 1000000? -1979000000 Round -2046.996175 to the nearest 100. -2000 What is -4554788240 rounded to the nearest 100000? -4554800000 Round -585.2192663 to the nearest 100. -600 What is 0.0001330857 rounded to 6 dps? 0.000133 What is 3512586800 rounded to the nearest one million? 3513000000 Round 0.000929250628 to six decimal places. 0.000929 What is -165830530 rounded to the nearest 100000? -165800000 What is -477898.2233 rounded to the nearest 10000? -480000 Round -67.34005601 to 2 decimal places. -67.34 Round 24737.00153 to the nearest one thousand. 25000 Round 0.000174677853 to seven decimal places. 0.0001747 What is -49149734 rounded to the ne
{ "pile_set_name": "DM Mathematics" }
2, -3, 3, 106 Put -315843, -7, -8.6 in descending order. -7, -8.6, -315843 Sort -1715, 1501, -4, 6. -1715, -4, 6, 1501 Sort -2, -3, -1, -8, 1085, 0. -8, -3, -2, -1, 0, 1085 Sort -246375, -5, 13, 5 in descending order. 13, 5, -5, -246375 Put -6, 0, 3, -407, -2 in increasing order. -407, -6, -2, 0, 3 Put -21, -1/11, 1, 2, -41, -18 in decreasing order. 2, 1, -1/11, -18, -21, -41 Put -3, -7/9, 0.3, -180.9, 3 in ascending order. -180.9, -3, -7/9, 0.3, 3 Put 111, -129, -32 in ascending order. -129, -32, 111 Sort -3/5, 8, 0.5, -517/5, 0 in decreasing order. 8, 0.5, 0, -3/5, -517/5 Sort -5, 1017, -4, 0, -121, 5 in decreasing order. 1017, 5, 0, -4, -5, -121 Sort -12, 6, -118742, 1, -4. -118742, -12, -4, 1, 6 Sort 0.1, -1335, -0.3, -0.5, -353 in decreasing order. 0.1, -0.3, -0.5, -353, -1335 Sort 196, 1/4, 29.5 in decreasing order. 196, 29.5, 1/4 Put 401, -2, -21, 8, -7, 4 in decreasing order. 401, 8, 4, -2, -7, -21 Sort -16, 5, -9119, 3 in increasing order. -9119, -16, 3, 5 Put -27.64, -0.1, 1/4, 4, -2, 3 in ascending order. -27.64, -2, -0.1, 1/4, 3, 4 Put 0.118, 4, 0.5, 24, -2/16929 in ascending order. -2/16929, 0.118, 0.5, 4, 24 Sort -336, 4, -3204, 1, -5 in ascending order. -3204, -336, -5, 1, 4 Sort -0.1, -3907.843, 3 in decreasing order. 3, -0.1, -3907.843 Put -1, 405, -5, 8, 5, 3, -6 in decreasing order. 405, 8, 5, 3, -1, -5, -6 Sort -5, 5, 0.0042, 8244 in descending order. 8244, 5, 0.0042, -5 Sort 3, 5, -3693, 51 in decreasing order. 51, 5, 3, -3693 Sort -28976, 2/3, -0.2, 3, -0.8 in increasing order. -28976, -0.8, -0.2, 2/3, 3 Sort -112, -1, 111, 5, -5, -42 in increasing order. -112, -42, -5, -1, 5, 111 Put -27.15, -0.1, -0.01, -20, 2, 3 in descending order. 3, 2, -0.01, -0.1, -20, -27.15 Sort 667, -3, -2/3, -61, -69 in increasing order. -69, -61, -3, -2/3, 667 Put 5, -163, -49.69868 in ascending order. -163, -49.69868, 5 Put -4, 2, -5, 128, 1, -2, -3 in increasing order. -5, -4, -3, -2, 1, 2, 128 Sort -8048, 547, 0, -6 in descending order. 547, 0, -6, -8048 Sort -16, -1362, 543 in decreasing order. 543, -16, -1362 Sort -0.20459, -1, 219, 16 in decreasing order. 219, 16, -0.20459, -1 Sort 3/8, -0.3, 2, -23665, -1.5 in increasing order. -23665, -1.5, -0.3, 3/8, 2 Sort 20, 24, 469, -28 in increasing order. -28, 20, 24, 469 Sort 1, 669294, 2, 3, 5, -4 in descending order. 669294, 5, 3, 2, 1, -4 Put 25857, -47, 5, 2 in decreasing order. 25857, 5, 2, -47 Put 1387, 3/7, -132.1, -1 in descending order. 1387, 3/7, -1, -132.1 Sort 0, -5, 88, -3992 in descending order. 88, 0, -5, -3992 Put -57, -1/2, 0.01362 in ascending order. -57, -1/2, 0.01362 Sort -1.7, -2883, -2, 0.1, 1 in increasing order. -2883, -2, -1.7, 0.1, 1 Sort 84, 63478, -2, 5, 1 in decreasing order. 63478, 84, 5, 1, -2 Put -4, 1300, -5, -2/3, 0.09, 2/7 in ascending order. -5, -4, -2/3, 0.09, 2/7, 1300 Put -5, -27, 234, 19 in increasing order. -27, -5, 19, 234 Sort 0, 3, -5, 102, 339, -7 in descending order. 339, 102, 3, 0, -5, -7 Put -1/10, 0.01, 0.3, -0.5, -7106 in ascending order. -7106, -0.5, -1/10, 0.01, 0.3 Sort -1/9, 6.9, -4, 0.05, 123 in descending order. 123, 6.9, 0.05, -1/9, -4 Put 246, 10, -2296 in descending order. 246, 10, -2296 Sort 13, -60, 266102 in decreasing order. 266102, 13, -60 Sort -0.4, 0.2, 3, -29764523 in descending order. 3, 0.2, -0.4, -29764523 Put -6301, 0, -15, 1, 3, -5, 5 in ascending order. -6301, -15, -5, 0, 1, 3, 5 Sort 2863, 3, 0.7, 21.8 in decreasing order. 2863, 21.8, 3, 0.7 Put -463.28, -0.5, 3, 4 in ascending order. -463.28, -0.5, 3, 4 Sort 1.2, -3/5, 7, -80, -109/2. -80, -109/2, -3/5, 1.2, 7 Sort 215, -8, -1177 in ascending order. -1177, -8, 215 Sort 7266, 7, 2. 2, 7, 7266 Sort -1.32, 0.17456, 11 in descending order. 11, 0.17456, -1.32 Put -624, 0.2, -59, -0.2 in descending order. 0.2, -0.2, -59, -624 Put -3, 25, 2286, 6, -46 in increasing order. -46, -3, 6, 25, 2286 Sort 56, -1496, -64 in decreasing order. 56, -64, -1496 Sort -3, 3, 36, 5, -4208. -4208, -3, 3, 5, 36 Put -3, 1, 10/23, 2/19 in descending order. 1, 10/23, 2/19, -3 Sort -380, -3, -2, -5, -11. -380, -11, -5, -3, -2 Sort -4, -7, 1214, -2, 89 in increasing order. -7, -4, -2, 89, 1214 Sort 0.3, 0, -1/47204, -0.4 in increasing order. -0.4, -1/47204, 0, 0.3 Sort 3, -15, 10, 1476, -16 in decreasing order. 1476, 10, 3, -15, -16 Sort 7, 5, 19, 0, 4, -6, 15 in ascending order. -6, 0, 4, 5, 7, 15, 19 Sort 0, 2, 1, -124, 8, -4, -3554. -3554, -124, -4, 0, 1, 2, 8 Put -19, -0.2, -4, 0, 19/2 in ascending order. -19, -4, -0.2, 0, 19/2 Sort 1, -102, -4, -2, 1000, -3 in descending order. 1000, 1, -2, -3, -4, -102 Sort -1, 2, 1, 5, -94, -657. -657, -94, -1, 1, 2, 5 Sort 28, 688, -6, -26 in ascending order. -26, -6, 28, 688 Sort -0.2, 839, -2/3, 713 in descending order. 839, 713, -0.2, -2/3 Sort 5, 12164, -421 in increasing order. -421, 5, 12164 Sort -3, -14, -4413, -4 in ascending order. -4413, -14, -4, -3 Sort -5, 1/85, -116/5, 5, -47, -2 in decreasing order. 5, 1/85, -2, -5, -116/5, -47 Put -5, 5, 4441, -4, 10, -7 in descending order. 4441, 10, 5, -4, -5, -7 Sort -1179829, -2, -3 in decreasing order. -2, -3, -1179829 Sort 19754220, -5, -2 in descending order. 19754220, -2, -5 Put 0.00266, 2/9, -0.636 in increasing order. -0.636, 0.00266, 2/9 Sort -0.04, 2/7, -2/9, 7.311, -0.2 in descending order. 7.311, 2/7, -0.04, -0.2, -2/9 Sort -2, 11, 0.0205, 2, -15/7 in descending order. 11, 2, 0.0205, -2, -15/7 Sort 5, -5, -19, 4, -2653. -2653, -19, -5, 4, 5 Sort 0.4, -7/831, 0.1, 0, 535 in descending order. 535, 0.4, 0.1, 0, -7/831 Sort 0, 28, 3, 65219, -4 in increasing order. -4, 0, 3, 28, 65219 Put 62.05, 5/2, -3/7, -4, -1, -2 in decreasing order. 62.05, 5/2, -3/7, -1, -2, -4 Put -2, 1833738, 5, -4, -5 in descending order. 1833738, 5, -2, -4, -5 Sort -56, -1, 5, -3, -7, -4, -12. -56, -12, -7, -4, -3, -1, 5 Put 0, 1, -5, -33436009 in decreasing order. 1, 0, -5, -33436009 Sort 63, -2, 0, -3, -4, 10 in increasing order. -4, -3, -2, 0, 10, 63 Sort 11, 8, 0, 1, 36, 12, 3 in increasing order. 0, 1, 3, 8, 11, 12, 36 Put 340, -39, -243 in ascending order. -243, -39, 340 Put 1.527, -2/11, 4, 3/8, -2/63 in decreasing order. 4, 1.527, 3/8, -2/63, -2/11 Put -6, -1, 5, -13, -183, -2, 4 in ascending order. -183, -13, -6, -2, -1, 4, 5 Sort 406, 88, 4, -36. -36, 4, 88, 406 Sort 1028, 1, 10, 3, -5, 5, 0 in ascending order. -5, 0, 1, 3, 5, 10, 1028 Sort 3, 2/19, 5, 1/5, 14224364 in decreasing order. 14224364, 5, 3, 1/5, 2/19 Sort -2181, -1, 15, -179. -2181, -179, -1, 15 Sort 4, -1693, -448 in increasing order. -1693, -448, 4 Sort 11, 4, -5, -4, 6, -33, -1 in increasing order. -33, -5, -4, -1, 4, 6, 11 Put -1/4, 15, -3.758, 0.1 in descending order. 15, 0.1, -1/4, -3.758 Put 5/29, 3, -3324/11, 0.3 in descending order. 3, 0.3, 5/29, -3324/11 Put -4, -65, 6775, 5 in increasing order. -65, -4, 5, 6775 Sort -89, 5, -6, 4467, -5 in decreasing order. 4467, 5, -5, -6, -89 Put 5, -1/145, 41665 in descending order. 41665, 5, -1/145 Sort -2425, -1, -630. -2425, -630, -1 Put -2178, -5, -25, -33, 5, 3 in decreasing order. 5, 3, -5, -25, -33, -2178 Put 296, -1, -21652 in descending order. 296, -1, -21652 Sort -768, 5175, -2, 5 in ascending order. -768, -2, 5, 5175 Put -3/98, 3471, 8/5, -0.3 in ascending order. -0.3, -3/98, 8/5, 3471 Sort -3, 2, 5, 4, -179, 0, -27 in decreasing order. 5, 4, 2, 0, -3, -27, -179 Put 131/21, -1569, -2, 0 in decreasing order. 131/21, 0, -2, -1569 Sort -12, -5225, 670 in ascending order. -5225, -12, 670 Sort 860, -3, 1, -24342 in decreasing order. 860, 1, -3, -24342 Put 1, 3, -5, 14, -11, 114 in ascending order. -11, -5, 1, 3, 14, 114 Sort 1, -158073, -3, -160 in ascending order. -158073, -160, -3, 1 Sort -7/4, -4, -0.015, 0.0682, -1. -4, -7/4, -1, -0.015, 0.0682 Put 4, 1848, 1225 in increasing order. 4, 1225, 1848 Sort 2, 1461, -1, -3384 in descending order. 1461, 2, -1, -3384 Put 2, 4, 59, 27, 51, -2 in descending order. 59, 51, 27, 4, 2, -2 Put 5, 71, -818, -10, 3 in increasing order. -818, -10, 3, 5, 71 Sort -4, -8, 4, 12, 6088 in descending order. 6088, 12, 4, -4, -8 Put 1573, 25, -75 in descending order. 1573, 25, -75 Put 115, 90, 5, 6 in increasing order. 5, 6, 90, 115 Put 10146, -3, 802 in ascending order. -3, 802, 10146 Sort 2, 4, 137013, -1, -6/7. -1, -6/7, 2, 4, 137013 Sort 36, -0.3, -3, -0.4, 3/7, 108
{ "pile_set_name": "DM Mathematics" }
= -649/4 - -163. Factor s**3 - x*s**5 - w*s + 1/2 - 1/2*s**2 + 0*s**4. -(s - 1)**3*(s + 1)*(s + 2)/4 Let v = 5 + -449/90. Let r(l) be the third derivative of 0 + 1/9*l**3 - l**2 + 0*l**4 + 0*l - v*l**5. Factor r(a). -2*(a - 1)*(a + 1)/3 Let l = 75/328 + 6/41. Factor -3/8 - 3/4*x**3 + 3/4*x + 0*x**2 + l*x**4. 3*(x - 1)**3*(x + 1)/8 Let p(d) be the third derivative of 1/30*d**6 + 0*d + 0*d**3 + 1/15*d**5 + 0*d**4 + 0 + 8*d**2. Factor p(w). 4*w**2*(w + 1) Let d(j) be the third derivative of 0*j**3 + 1/24*j**4 - 1/210*j**7 + 4*j**2 - 1/120*j**6 + 0 + 0*j + 1/60*j**5. Suppose d(y) = 0. What is y? -1, 0, 1 Let n(p) be the second derivative of p**4/4 - 3*p**3 + 27*p**2/2 - 11*p. Factor n(b). 3*(b - 3)**2 Let h = -3 - -7. Find f such that 0*f**3 + f**5 - f**h + f**2 - f**3 + 0*f**4 + 0*f**4 = 0. -1, 0, 1 Suppose -7*f + 4*f = -18. Let k be ((-2)/3)/((-2)/f). Factor 2*i**k + 0 + 0 + 2*i. 2*i*(i + 1) Let d(k) be the first derivative of -5*k**3/3 + 5*k**2 - 5*k - 13. Factor d(o). -5*(o - 1)**2 Let b(n) be the second derivative of -n**4/8 - 5*n**3/4 - 3*n**2 - 37*n. What is d in b(d) = 0? -4, -1 Let o(a) be the first derivative of -a**5/10 + a**4/2 - 4*a**2 - 2*a - 3. Let g(n) be the first derivative of o(n). Factor g(t). -2*(t - 2)**2*(t + 1) Let i(z) = z**3 + z**2 + 3. Let v be i(0). Let s be v + -3 - 2/(-7). Factor 0*d + 0 - s*d**2. -2*d**2/7 Factor 2*l**2 - 3*l**2 + 21 - 45*l + 7*l**2. 3*(l - 7)*(2*l - 1) Let 0 - 4/3*l**3 + 8/9*l**4 - 2/9*l**5 - 2/9*l + 8/9*l**2 = 0. Calculate l. 0, 1 Let b = 16 + -11. Let z(t) be the second derivative of 0 - 2/15*t**4 + 0*t**2 + t + 1/105*t**7 + 3/25*t**b + 1/15*t**3 - 4/75*t**6. Factor z(i). 2*i*(i - 1)**4/5 Factor 4*x + 4*x**2 - 4*x - 2*x. 2*x*(2*x - 1) Determine i, given that -4*i**3 + 20*i - 16*i + i - i**3 = 0. -1, 0, 1 Let -1/4*v**2 - 5/4 - 3/2*v = 0. Calculate v. -5, -1 Let v(j) be the third derivative of j**7/35 + j**6/30 - 7*j**5/30 + j**4/6 + j**2. Factor v(d). 2*d*(d - 1)*(d + 2)*(3*d - 1) Factor -6*y**2 + 32*y - 6 + 13 - 7*y**3 - y**4 + 25. -(y - 2)*(y + 1)*(y + 4)**2 Suppose 3 = 2*j - 5. Let l(d) be the second derivative of 0 + 0*d**2 - d + 1/30*d**5 - 1/18*d**j - 1/9*d**3 + 1/45*d**6. Suppose l(c) = 0. What is c? -1, 0, 1 Factor -4/9*c**2 + 0*c + 0 + 2/9*c**3. 2*c**2*(c - 2)/9 Let j(u) be the first derivative of -u**6/1440 - u**3/3 - 3. Let b(x) be the third derivative of j(x). Find t, given that b(t) = 0. 0 Let h = 15 + -12. Let u(v) be the first derivative of 1/5*v**h + 1 - 1/5*v**2 + 0*v. Find w, given that u(w) = 0. 0, 2/3 Let x(h) be the first derivative of h**3/3 + 11*h**2/2 + 12*h + 10. Let n be x(-10). Determine a, given that -1/2*a + 0 + n*a**2 = 0. 0, 1/4 Suppose 26*h = 9*h + 51. Factor -2/7*o**h - 2/7*o**2 + 0 + 0*o. -2*o**2*(o + 1)/7 Suppose 0 = 5*y + 540 - 50. Let n = y - -690/7. What is k in 2/7*k**3 + 0 + 2/7*k - n*k**2 = 0? 0, 1 Let b(h) be the third derivative of -2*h**7/315 + h**6/90 + h**5/45 - h**4/18 - 39*h**2. Factor b(f). -4*f*(f - 1)**2*(f + 1)/3 Let r(o) = 10*o + 174. Let g be r(-17). What is k in 2/5*k**2 - 2/5*k**3 - 2/5*k**g + 2/5*k + 0 = 0? -1, 0, 1 Let g(q) = q**3 + 4*q**2 + 3*q. Let a be g(-2). Factor 4*n**5 - a*n**4 - 3*n**5 + 3*n**4. n**4*(n + 1) Let o(u) = -2*u**2 + 22*u - 20. Let t be o(10). Solve t*p**3 - 2/5 - 2/5*p**4 + 4/5*p**2 + 0*p = 0 for p. -1, 1 Factor 5 + 3*f**2 - 4 + 2*f**3 - 3*f**3 - 3*f. -(f - 1)**3 Let w be (308/(-24))/(-11) - 5/5. Find s, given that -1/3*s**4 + 1/3*s**2 + 0*s + w*s**3 + 0 - 1/6*s**5 = 0. -2, -1, 0, 1 Suppose 3*x - 15 = -2*x - 5*q, -33 = -3*x + 5*q. Suppose -11*a + 8*a + x = 0. Find v, given that 2/7*v**a - 2/7 + 8/7*v**3 - 8/7*v = 0. -1, -1/4, 1 Let z(p) = p - 9. Let t be z(9). Find f such that -2*f**2 + f**2 + 4*f**3 + t*f - 2*f + 3*f**4 = 0. -1, 0, 2/3 Let i(x) = x**4 - 9*x**3 - 2*x**2 + 9*x + 1. Let y(n) = 8*n**3 + 2*n**2 - 8*n - 2. Let f(j) = -4*i(j) - 6*y(j). Suppose f(o) = 0. What is o? -2, -1, 1 Let i = 10 + -8. Factor -3*z - z**4 - z**3 + 0*z**3 + 3*z + z + 3*z**2 - i. -(z - 1)**2*(z + 1)*(z + 2) Factor 0*v - 4/3*v**4 + 0*v**2 + 0 - 2/3*v**3 - 2/3*v**5. -2*v**3*(v + 1)**2/3 Let t(u) be the second derivative of u**9/45360 - u**7/7560 + u**4/2 + 8*u. Let c(r) be the third derivative of t(r). Factor c(j). j**2*(j - 1)*(j + 1)/3 Let d(k) be the second derivative of -k**4/18 - k**3/9 + 44*k. Factor d(p). -2*p*(p + 1)/3 Let h(p) be the first derivative of p**4/28 + 4*p**3/21 + 5*p**2/14 + 2*p/7 + 14. Factor h(s). (s + 1)**2*(s + 2)/7 Let n = 821 - 4087/5. Factor n*k - 27/5 - 3/5*k**2. -3*(k - 3)**2/5 Determine a so that -2/7*a**2 - 10/7 - 12/7*a = 0. -5, -1 Let r be -2 + -1*(-4)/1. Find i such that 2*i**2 + 2*i**4 + r*i**3 - 4*i**4 - 2*i**3 = 0. -1, 0, 1 Let k(l) be the third derivative of -l**5/75 - 3*l**4/40 - l**3/15 + 3*l**2. Suppose k(a) = 0. What is a? -2, -1/4 Let i(x) be the first derivative of -7*x**6/180 + x**5/10 - x**4/18 + x**2 + 6. Let b(v) be the second derivative of i(v). Factor b(q). -2*q*(q - 1)*(7*q - 2)/3 Let h(w) = -w**2 + 13*w - 10. Let i be 10/55 + 390/33. Let t be h(i). Factor -4/3*o + o**t + 1/3. (o - 1)*(3*o - 1)/3 Let u(i) be the third derivative of 7*i**2 - 5/48*i**4 + 0*i + 1/6*i**3 + 1/30*i**5 - 1/240*i**6 + 0. Factor u(f). -(f - 2)*(f - 1)**2/2 Let o(r) be the first derivative of -r**4/16 + r**3/12 + 8. Suppose o(v) = 0. Calculate v. 0, 1 Factor -12/5*c**3 + 0 - 2/5*c**5 - 2/5*c + 8/5*c**4 + 8/5*c**2. -2*c*(c - 1)**4/5 Let q(m) be the first derivative of 3*m**5/5 - 2. Solve q(u) = 0 for u. 0 Let i be 3 - (2 + (4 - 5 - 0)). Let n(u) be the first derivative of -i + 0*u + 0*u**3 - u**2 + 1/2*u**4. Find s, given that n(s) = 0. -1, 0, 1 Let r(l) be the third derivative of l**10/120960 - l**8/13440 + l**6/2880 - l**4/24 + 3*l**2. Let x(u) be the second derivative of r(u). Factor x(w). w*(w - 1)**2*(w + 1)**2/4 Let r be 3 - 72*16/4. Let g = 863/3 + r. Find t, given that 0*t + 2*t**2 + 2/3*t**3 - g = 0. -2, 1 Let b be -1 - 1*(-3 - 0). Suppose 6 = b*l, 0 = y - 6*y - 2*l + 16. Find v such that -4/7*v - 2/7*v**y - 2/7 = 0. -1 Suppose -1 = 2*v + 1, 5*v = -3*i - 5. Suppose i = -c - 0 + 3. Let 4*h + 33*h**c - h**3 - 10*h**4 - 22*h**2 - 4*h**4 = 0. Calculate h. 0, 2/7, 1 Let z(f) be the second derivative of f**4/4 - 5*f**3 + 75*f**2/2 + 13*f. Factor z(c). 3*(c - 5)**2 Suppose 3*d - 4*o = -10, 6*d - 2 = 3*d + o. Factor 5*u**3 + 0*u - d - 3*u - 4*u**3 + 0*u**3. (u - 2)*(u + 1)**2 Suppose -24 = -4*k - 8. Suppose -u + k = u. Let -a**2 + a**2 - a**2 - a + 1 - a**u = 0. Calculate a. -1, 1/2 Let h(a) be the second derivative of -a**7/84 - 3*a**6/20 - 27*a**5/40 - 9*a**4/8 + 19*a. Factor h(u). -u**2*(u + 3)**3/2 Let x(k) be the third derivative of -3*k**6/40 + 19*k**5/40 - k**4 + k**3 - 5*k**2. What is c in x(c) = 0? 1/2, 2/3, 2 Let q = 1951/210 - -3/70. Find z such that 0 + 8/3*z - 125/3*z**5 - 10*z**3 - q*z**2 + 175/3*z**4 = 0. -2/5, 0, 2/5, 1 Let x(k) = -k**3 - 8*k**2 - 2*k + 5. Let t(p) = p**3 + 7*p**2 + 2*p - 4. Let m(o) = 5*t(o) + 4*x(o). Factor m(q). q*(q + 1)*(q + 2) Let 0*x + 0 + 2/9*x**3 + 2/9*x**2 = 0. What is x? -1, 0 Let l(j) = j. Let d(r) be the third derivative of 2*r**5/15 + 5*r**4/24 + r**3/3 - r**2. Let z(f) = d(f) + 5*l(f). What is b in z(b) = 0? -1, -1/4 Let u(g) be the second derivative of -g**8/168 + g**6/20 + g**5/15 + 2*g**2 + 9*g. Let r(t) be the first derivative of u(t). Factor r(p). -2*p**2*(p - 2)*(p + 1)**2 Let c(g) be the third derivative of g**8/840 - 2*g**7/525 + g**5/75 - g**4/60 + 8*g**2. Solve c(s) = 0 for s. -1, 0, 1 Factor -2/3*s**3 - 2/3*s**2 + 8/3*s + 8/3. -2*(s - 2)*(s + 1)*(s + 2)/3 Let p(f) be the third derivative of -2/165*f**5 + f**2 + 0 + 1/33*f**3 + 0*f - 1/44*f**4. Find w, given that p(w) = 0. -1, 1/4 Let i be (-92)/(-80) - (-4)/(-10). Let c = 5 - 3. Factor 9/4*f**c + 0 + 1/2*f + 11/4*f**4 + 15/4*f**3 + i*f**5. f*(f + 1)**3*(3*f + 2)/4 Factor 7*d**4 - 3*d**4 - 1 + 21*d**3 + 9*d**2 + d - 10*d**3. (d + 1)**3*(4*d - 1) Let u(w) = 5*w - 6*w + 4 - w**2 + 10 - 10*w. Let j be u(-12). Factor 0*x**j + 0*x - 2/11*x**3 + 0. -2*x**3/11 Let t(n) = -3*n**3 - n**2 + 6*n - 4. Let m(l) = -3*l**3 - 2*l**2 + 6*l - 5. Let g be 5/(-1)*(8 - 7). Let u(b) = g*t(b) + 4*m(b). Factor u(k). 3*k*(k - 2)*(k + 1) Let r(w) = -w + 7. Let z be r(2). Suppose 3*b - 3 = -2*d + 5*d, z*b - 21 = -3*d. Let 15/2*n**3
{ "pile_set_name": "DM Mathematics" }
ters picked without replacement from mameamemaie. 1/330 Calculate prob of sequence hz when two letters picked without replacement from {h: 1, z: 1, k: 2, w: 3, m: 3}. 1/90 Two letters picked without replacement from rrrrerrmeeerere. Give prob of sequence re. 8/35 What is prob of sequence ru when two letters picked without replacement from {r: 1, t: 1, u: 3, n: 3, l: 3}? 3/110 Three letters picked without replacement from vux. Give prob of sequence vux. 1/6 What is prob of sequence hfq when three letters picked without replacement from {l: 1, f: 1, b: 1, q: 1, h: 1}? 1/60 Four letters picked without replacement from {f: 2, m: 9, a: 1, s: 5, x: 1}. What is prob of sequence asxf? 1/7344 Two letters picked without replacement from {m: 1, i: 1, s: 1}. Give prob of sequence im. 1/6 What is prob of sequence zsk when three letters picked without replacement from {q: 1, u: 2, z: 1, m: 1, k: 2, s: 2}? 1/126 Four letters picked without replacement from {m: 4}. What is prob of sequence mmmm? 1 Three letters picked without replacement from kffunkfklflklf. Give prob of sequence lun. 1/728 Four letters picked without replacement from {v: 9, z: 11}. Give prob of sequence zvvz. 22/323 Four letters picked without replacement from znnxneenddne. Give prob of sequence dnnn. 1/99 Three letters picked without replacement from rrororborurjh. Give prob of sequence rjb. 1/286 Three letters picked without replacement from {t: 8, u: 2}. Give prob of sequence ttu. 7/45 Calculate prob of sequence ynw when three letters picked without replacement from {w: 4, c: 1, y: 1, b: 1, n: 2}. 1/63 What is prob of sequence if when two letters picked without replacement from {f: 4, y: 2, i: 3, w: 2, k: 2, b: 1}? 6/91 Calculate prob of sequence zoyo when four letters picked without replacement from coyoowz. 1/140 Four letters picked without replacement from vlllqvl. What is prob of sequence lqvv? 1/105 Calculate prob of sequence uh when two letters picked without replacement from hhughuuunghhhhnnhh. 2/17 Two letters picked without replacement from qqzqqdqdqdqqqdqzzq. What is prob of sequence zd? 2/51 What is prob of sequence ilm when three letters picked without replacement from {i: 1, a: 2, m: 1, l: 2, y: 2}? 1/168 Calculate prob of sequence qb when two letters picked without replacement from {t: 1, b: 1, q: 2}. 1/6 Four letters picked without replacement from mmmtletlmmme. What is prob of sequence elem? 1/495 Four letters picked without replacement from {v: 2, u: 8, d: 2}. Give prob of sequence vduu. 28/1485 What is prob of sequence uuu when three letters picked without replacement from uuuuu? 1 Calculate prob of sequence icb when three letters picked without replacement from iibicibccbcbbbc. 4/91 Four letters picked without replacement from obobbubvuhbuuuus. Give prob of sequence oohu. 1/3640 Two letters picked without replacement from muun. What is prob of sequence nm? 1/12 Four letters picked without replacement from effeffefeeef. What is prob of sequence ffee? 5/66 Calculate prob of sequence wx when two letters picked without replacement from {u: 4, k: 1, w: 3, n: 1, x: 10}. 5/57 What is prob of sequence bs when two letters picked without replacement from {o: 2, b: 4, s: 1}? 2/21 Two letters picked without replacement from ukkkku. What is prob of sequence uu? 1/15 Two letters picked without replacement from uxccvcucccuvvv. What is prob of sequence uu? 3/91 Four letters picked without replacement from {u: 8, i: 1, w: 2, y: 5}. What is prob of sequence iwyu? 1/546 What is prob of sequence gv when two letters picked without replacement from {t: 7, v: 1, p: 7, g: 1}? 1/240 Four letters picked without replacement from {x: 1, k: 4, a: 8, l: 2}. Give prob of sequence lkax. 8/4095 Calculate prob of sequence ls when two letters picked without replacement from {x: 1, a: 1, h: 2, s: 1, l: 1, g: 1}. 1/42 Two letters picked without replacement from {n: 1, q: 2, j: 7, u: 9, l: 1}. What is prob of sequence uq? 9/190 Two letters picked without replacement from ekeagdggddacgdd. What is prob of sequence ke? 1/105 Four letters picked without replacement from {l: 12, d: 2, c: 1, x: 3, u: 2}. What is prob of sequence lldx? 11/1615 Two letters picked without replacement from {n: 3, g: 2, l: 3, e: 1, m: 1, h: 1}. Give prob of sequence eg. 1/55 What is prob of sequence skk when three letters picked without replacement from kkccskckkkc? 1/33 Four letters picked without replacement from {r: 1, g: 2, v: 2, t: 4, w: 5}. Give prob of sequence grvv. 1/6006 Three letters picked without replacement from fqqfqfqfqqfffqqffffq. Give prob of sequence qqf. 11/95 Calculate prob of sequence ttt when three letters picked without replacement from {s: 1, t: 10, q: 1, w: 1}. 60/143 Three letters picked without replacement from reeereeleerlre. Give prob of sequence eee. 2/13 Two letters picked without replacement from zsslyhlz. What is prob of sequence lz? 1/14 What is prob of sequence zp when two letters picked without replacement from zppzppzzzpppzzzppzzp? 5/19 What is prob of sequence qf when two letters picked without replacement from {m: 1, n: 1, y: 3, f: 1, q: 1}? 1/42 Calculate prob of sequence gaaa when four letters picked without replacement from {h: 1, g: 1, j: 4, i: 2, a: 3, t: 1}. 1/1980 What is prob of sequence su when two letters picked without replacement from sssuswsoowsbo? 1/26 Calculate prob of sequence eotc when four letters picked without replacement from {e: 1, t: 2, o: 1, f: 1, v: 1, c: 1}. 1/420 Calculate prob of sequence mzwj when four letters picked without replacement from jaxjzxaxxmwwjwx. 1/3640 Calculate prob of sequence hh when two letters picked without replacement from hahahvvaahh. 2/11 What is prob of sequence qbqk when four letters picked without replacement from {b: 1, k: 1, q: 2}? 1/12 Three letters picked without replacement from {z: 3, o: 1}. Give prob of sequence zoz. 1/4 Three letters picked without replacement from bqobqqbbbqq. Give prob of sequence qqb. 10/99 Calculate prob of sequence nnee when four letters picked without replacement from enene. 1/10 What is prob of sequence ttk when three letters picked without replacement from {k: 7, t: 10, v: 1}? 35/272 What is prob of sequence axax when four letters picked without replacement from {y: 5, g: 1, x: 3, z: 1, i: 1, a: 2}? 1/1430 What is prob of sequence dddp when four letters picked without replacement from mhmpdmhpdmddmddmdm? 7/1224 What is prob of sequence tttn when four letters picked without replacement from rtrdndnzrddrtt? 1/2002 Calculate prob of sequence oo when two letters picked without replacement from {t: 4, o: 6}. 1/3 What is prob of sequence mmvv when four letters picked without replacement from mvvmvmv? 3/35 Two letters picked without replacement from {c: 5}. Give prob of sequence cc. 1 Calculate prob of sequence wt when two letters picked without replacement from btprorw. 1/42 Calculate prob of sequence uq when two letters picked without replacement from {q: 1, t: 1, f: 2, u: 3, s: 3, b: 2}. 1/44 Two letters picked without replacement from llllrrrrrlllr. Give prob of sequence rr. 5/26 Calculate prob of sequence vqvv when four letters picked without replacement from vggvggqvg. 1/504 What is prob of sequence gf when two letters picked without replacement from ffgy? 1/6 Calculate prob of sequence xppd when four letters picked without replacement from {f: 1, d: 2, p: 3, x: 4, w: 6}. 1/910 What is prob of sequence ggag when four letters picked without replacement from gaapaiapagpgapi? 1/910 Calculate prob of sequence piig when four letters picked without replacement from lpzbiplzigzzbl. 1/6006 Calculate prob of sequence zz when two letters picked without replacement from kzkkkkkkzkkkk. 1/78 Calculate prob of sequence ujjz when four letters picked without replacement from {w: 1, u: 3, j: 3, z: 3, i: 1}. 3/440 Four letters picked without replacement from {y: 3, q: 3, n: 1, d: 7}. Give prob of sequence dyqn. 3/1144 Three letters picked without replacement from {q: 6, e: 2, m: 4}. What is prob of sequence qmm? 3/55 Calculate prob of sequence xyx when three letters picked without replacement from {y: 7, x: 2, z: 3}. 7/660 Four letters picked without replacement from ttodeemdteeoeotood. Give prob of sequence ooet. 5/918 Cal
{ "pile_set_name": "DM Mathematics" }
/3 + 7*k**2 - 9. Factor b(u). 4*(u - 11)*(u - 1)**2 Let f(s) be the second derivative of s**6/40 + 15*s**5/16 - s**4/16 - 25*s**3/8 - s - 122. What is t in f(t) = 0? -25, -1, 0, 1 Let l(t) = 2*t**4 - t**3 + t - 2. Let o(n) = 4*n**5 - 4*n**4 - 4*n**2 - 4*n + 8. Let j(u) = -4*l(u) - o(u). Find y, given that j(y) = 0. -1, 0, 1 Factor -2/13*k**2 + 10/13*k + 12/13. -2*(k - 6)*(k + 1)/13 Factor 8/7*t**3 - 9/7*t + 1/7*t**5 - 10/7*t**4 + 10/7*t**2 + 0. t*(t - 9)*(t - 1)**2*(t + 1)/7 Let k = 1360 - 1358. Let u(l) be the first derivative of -2/3*l**3 - 2/3*l**2 - 1/6*l**4 - k + 0*l. Factor u(t). -2*t*(t + 1)*(t + 2)/3 Let a(d) = d + 19. Let j be a(-11). Suppose -b - j = -2*b. Solve 5*c**4 + 4*c**5 + c**2 - b*c**3 + 4*c**5 - 7*c**4 + c**2 = 0. -1, 0, 1/4, 1 Let f(u) = -51*u + 4. Let a be f(0). Find j, given that 2/3*j**3 - 10/3*j - 2*j**2 - 4/3 + 2/3*j**a = 0. -1, 2 Factor -1695*u**2 + 63*u - 496*u**3 + 5*u**4 - 429*u**2 - 33*u**4 + 585*u. -4*u*(u + 9)**2*(7*u - 2) Let b be 5/(15/(-84)) + -4. Let g be b/12*(-3)/2. Let 4*l**2 - 4*l**2 + 6*l**2 + l - g*l = 0. What is l? 0, 1/2 Let j = 5 - 2. Let -3 + 5 - 2*q - j*q**2 - 3*q = 0. Calculate q. -2, 1/3 Let o(a) be the third derivative of 0*a**5 + 0 - a**2 + 1/1470*a**7 + 0*a + 0*a**4 - 1/420*a**6 + 0*a**3. Suppose o(k) = 0. What is k? 0, 2 Let q(t) be the first derivative of -t**6/15 + 54*t**5/25 - 43*t**4/2 + 54*t**3 + 216*t**2/5 - 864*t/5 + 84. Find r such that q(r) = 0. -1, 1, 3, 12 Let b(s) be the third derivative of -s**8/672 - s**7/24 - 79*s**6/480 - 61*s**5/240 - 5*s**4/32 - s**2 - 8*s. Let b(j) = 0. What is j? -15, -1, -1/2, 0 Let w(t) be the third derivative of t**5/450 - t**4/90 - t**3/15 + 101*t**2 - t. Factor w(f). 2*(f - 3)*(f + 1)/15 Let k(c) be the second derivative of -5*c**7/42 + 5*c**6/6 - 2*c**5 + 5*c**4/3 + 163*c. Factor k(g). -5*g**2*(g - 2)**2*(g - 1) Factor 191*g**3 + 12*g**2 - 9*g**4 - 194*g**3 + 0*g**4 + 6*g**4 + 12*g. -3*g*(g - 2)*(g + 1)*(g + 2) Determine q so that 0 - 92/9*q**3 - 8/3*q**4 - 40/3*q**2 - 50/9*q - 2/9*q**5 = 0. -5, -1, 0 Let s = -12221/63 - -194. Let r(d) be the second derivative of 0 + 0*d**6 + 1/15*d**5 - s*d**7 - 1/9*d**3 + 0*d**4 - 2*d + 0*d**2. What is z in r(z) = 0? -1, 0, 1 Let u(k) be the first derivative of k**3/3 + 4*k**2/5 - 4*k/5 - 113. Factor u(a). (a + 2)*(5*a - 2)/5 Let m = 5727/136 + -1419/34. Let -m*t + 3/8*t**2 - 3/4 = 0. Calculate t. -1, 2 Let z = -50/67 - -5317/7035. Let c(w) be the second derivative of z*w**6 + 0*w**2 + 0 + 1/21*w**4 + 3/70*w**5 - w + 0*w**3. Factor c(o). 2*o**2*(o + 1)*(o + 2)/7 Let z(j) = j**3 + j + 1. Let v(p) = 3*p**3 - 11*p**2 - 31*p - 21. Suppose -2*h + 6*h - 16 = 0, -5*h = 5*d. Let y(s) = d*z(s) + v(s). Factor y(w). -(w + 1)*(w + 5)**2 Let j = -33877/5 + 6749. Let t = 27 + j. Factor -3/5*d**4 - t*d - 9/5*d**2 - 9/5*d**3 + 0. -3*d*(d + 1)**3/5 Let y(d) be the first derivative of -d**3 + 18*d**2 - 33*d - 676. Determine x so that y(x) = 0. 1, 11 Let c(i) be the first derivative of -3*i**4 + 508*i**3/3 + 172*i**2 + 123. Factor c(p). -4*p*(p - 43)*(3*p + 2) Suppose 0 = 26*c - 53 - 51. Determine i, given that -12*i**c - 11/4*i + 14*i**3 + 5/4*i**2 - 1/2 = 0. -1/4, 2/3, 1 Suppose 292*c - 6*c**4 - 292*c + 3*c**5 + 3*c**3 = 0. Calculate c. 0, 1 Let z(j) be the first derivative of -j**5/5 - j**4 + 8*j**2 + 16*j - 79. Factor z(h). -(h - 2)*(h + 2)**3 Let u(q) = -q**3 - 15*q**2 + 17*q + 36. Let i(g) be the first derivative of g**4/2 + 22*g**3/3 - 13*g**2 - 54*g + 25. Let r(x) = -5*i(x) - 8*u(x). Factor r(o). -2*(o - 3)**2*(o + 1) Let s be ((25/(-3))/5)/((-4)/108). Suppose -52*v = -s*v - 42. Factor 16*p + 2/3*p**3 - 32/3 - v*p**2. 2*(p - 4)**2*(p - 1)/3 Suppose g - 9 = -2*g. Let l be 6*3/g + 2. Factor -l*s - s**2 + 18*s - 9 - 4*s. -(s - 3)**2 Let s(z) be the first derivative of -z**3 + 0*z - 3/2*z**2 + 3/5*z**5 + 7 + 3/4*z**4. Factor s(h). 3*h*(h - 1)*(h + 1)**2 Solve 3*s - 2*s**2 - 18*s - 2*s + 7*s = 0 for s. -5, 0 Let y(k) = 13*k + 1. Let x be y(-1). Let c = x + 26. Factor -p**2 - 1 - 14*p + c*p + 2. -(p - 1)*(p + 1) Let a(h) = 2*h**3 - h**2 + 2*h - 1. Let f(v) = -7*v**3 - 13*v**2 - 10*v + 5. Let m(p) = -5*a(p) - f(p). Factor m(g). -3*g**2*(g - 6) Let r = -712/29 - -2165/87. Factor 0 + 0*v - 16/3*v**3 - 8/3*v**4 + 0*v**2 - r*v**5. -v**3*(v + 4)**2/3 Let h = -85 - -89. Let y be h - ((-42)/16)/((-75)/100). Solve 1/2*k**2 - 1/2*k**4 - 1/2*k**3 + y*k + 0 = 0 for k. -1, 0, 1 Let o(v) be the second derivative of -v**4/3 + 56*v**3/3 - 392*v**2 + 4*v + 18. Suppose o(c) = 0. What is c? 14 Let u be (325/(-78) - -4)*(-2 - 28/4). Suppose -1/4*k**3 + u*k**2 + 1 - 9/4*k = 0. What is k? 1, 4 Let z(q) be the third derivative of -q**7/735 + q**6/60 + 9*q**5/70 + 29*q**4/84 + 10*q**3/21 + 87*q**2. Find r, given that z(r) = 0. -1, 10 Find t such that 1152/7*t**2 - 10*t**3 + 2592/7*t + 1/7*t**4 + 0 = 0. -2, 0, 36 Let h(l) be the second derivative of 0*l**3 + 0*l**2 + 0 - 1/6*l**4 - 20*l + 1/10*l**5 - 1/21*l**7 + 1/15*l**6. Solve h(t) = 0. -1, 0, 1 Let u = -1801 - -416032/231. Let m(x) be the second derivative of -x + 0 + 0*x**2 - 1/55*x**5 + 4/165*x**6 + u*x**7 + 3/11*x**3 - 2/11*x**4. Factor m(w). 2*w*(w - 1)**2*(w + 3)**2/11 Let x(h) be the first derivative of -h**5 - 30*h**4 - 90*h**3 + 2700*h**2 - 10125*h + 44. Suppose x(k) = 0. What is k? -15, 3 Suppose 4/3*x**2 + 2/3*x - 2/3*x**3 - 4/3 = 0. Calculate x. -1, 1, 2 Let q(p) be the second derivative of -25*p**4/12 + 15*p**3 - 81*p**2/2 - 83*p. Suppose q(z) = 0. What is z? 9/5 Let f be 2/6*(280/64 - 4). Let a be (-40)/(-48)*6/20. Factor f*d**2 + 0*d + 1/8*d**4 + a*d**3 + 0. d**2*(d + 1)**2/8 Let m(h) be the first derivative of -5*h**4/16 - 3*h**3/4 + h**2/4 - 29. Factor m(l). -l*(l + 2)*(5*l - 1)/4 Let h be ((-9)/3)/(15/190). Let t = 73 + h. Factor -5*y**5 - 10 - 15*y + 4*y**2 + 55*y**3 - t*y**3 + 6*y**2. -5*(y - 2)*(y - 1)*(y + 1)**3 Suppose -59*j = -53*j. Let a(i) be the third derivative of j*i**5 - 1/160*i**6 + 0*i**3 + 0*i + 0 + 1/32*i**4 + 7*i**2. Factor a(y). -3*y*(y - 1)*(y + 1)/4 Factor -24*t**3 + 6 - 26 - 9*t**2 + 24*t + 7*t**3 + 18*t**3. (t - 5)*(t - 2)**2 Suppose 0 + 2/11*p**2 - 252/11*p = 0. Calculate p. 0, 126 Let 15/2*m + 0 + 5/2*m**2 = 0. Calculate m. -3, 0 Let p = -124 + 127. Let w(d) be the first derivative of 0*d**p + 0*d + 1/20*d**4 - 1/10*d**2 - 3. Let w(u) = 0. Calculate u. -1, 0, 1 Let x be -14*4/(-6)*3/4. Let t(a) = 4*a - 28. Let r be t(x). Suppose 3/4*z**4 - 9/4*z**2 - 3/2*z + r*z**3 + 0 = 0. Calculate z. -1, 0, 2 Let y = 6238 - 12473/2. Solve -24 - 99/2*b**2 + 60*b - y*b**4 + 15*b**3 = 0. 1, 4 Let u(b) be the second derivative of -b**5/80 - b**4/12 + b**3/24 + b**2/2 + 545*b. Solve u(f) = 0 for f. -4, -1, 1 Factor 4*i**4 - 8*i**3 + 28*i**2 + 38*i**3 + 29*i**3 + 20*i**3 - 21*i**3. 2*i**2*(i + 14)*(2*i + 1) Let r(x) be the third derivative of -x**8/840 - 4*x**7/175 - 9*x**6/100 - 2*x**2 - 1. Factor r(j). -2*j**3*(j + 3)*(j + 9)/5 Let s(p) = 4*p - 60. Let a be s(16). Find h, given that -6*h**3 - a*h - 14*h**2 - 1201 + 1201 = 0. -2, -1/3, 0 Let j(u) be the third derivative of 0*u**4 - 1/9*u**3 + 0*u + 1/90*u**5 + 0 - 13*u**2. Factor j(s). 2*(s - 1)*(s + 1)/3 Let i = 30487/35 - 871. Let g(n) be the first derivative of -26/21*n**3 - i*n**5 - 3/7*n**4 - 12/7*n**2 - 2 - 8/7*n. Find y, given that g(y) = 0. -2, -1 Let -13*v**2 + 93*v + 92*v**2 + 8 - 31*v**2 - 27*v**3 + 10 = 0. Calculate v. -1, -2/9, 3 What is b in 54/11 + 20/11*b**3 + 2/11*b**4 - 84/11*b + 8/11*b**2 = 0? -9, -3, 1 Let 9/4*i**2 + 3/4*i**3 - 3/4*i - 3/2 - 3/4*i**4 = 0. Calculate i. -1, 1, 2 Let g(r) be the first derivative of r**6/90 - r**5/60 - r**4/36 + r**3/18 + 4*r - 5. Let u(s) be the first derivative of g(s). Factor u(j). j*(j - 1)**2*(j + 1)/3 Let p(s) be the second derivative of 2*s**5 - 5*s**4/4 - 80*s**3/3 + 30*s**2 - 313*s. Factor p(m). 5*(m - 2)*(m + 2)*(8*m - 3) Let h(r) be the third derivative of -r**5/165 - 103*r**4/132 + 52*r**3/33 + 307*r**2. Find m, given that h(m) = 0. -52, 1/2 Let y(i) be the third derivative of 0 - 1/480*i**6 + 0*i - 1/12*i**4 + 2/3*i**3 - 8*i**2 - 7/240*i**5. Determine u, given that y(u) = 0. -4, 1 Let w(z) be the second derivative of 2*z**5/15 + z**4/2 + 2*z**3/9 + 151*z. Factor w(o). 2*o*(o + 2)*(4*o + 1)/3 Let p(o) be the third derivative of -o**6/840 + o**5/20 - 19*o**4/84 + 13
{ "pile_set_name": "DM Mathematics" }
307714 to the power of 1/3, to the nearest integer? 282 What is 307802 to the power of 1/3, to the nearest integer? 68 What is the cube root of 2922029 to the nearest integer? 143 What is the cube root of 2522205 to the nearest integer? 136 What is 1082839 to the power of 1/9, to the nearest integer? 5 What is the third root of 81349 to the nearest integer? 43 What is the eighth root of 173569 to the nearest integer? 5 What is the square root of 39662437 to the nearest integer? 6298 What is 80202 to the power of 1/2, to the nearest integer? 283 What is the square root of 7045569 to the nearest integer? 2654 What is the ninth root of 776261 to the nearest integer? 5 What is the eighth root of 960658 to the nearest integer? 6 What is the square root of 24923955 to the nearest integer? 4992 What is 3294674 to the power of 1/3, to the nearest integer? 149 What is the square root of 1870861 to the nearest integer? 1368 What is 367592 to the power of 1/9, to the nearest integer? 4 What is 251471 to the power of 1/9, to the nearest integer? 4 What is the cube root of 10660760 to the nearest integer? 220 What is 29210415 to the power of 1/3, to the nearest integer? 308 What is 17615483 to the power of 1/8, to the nearest integer? 8 What is 551062 to the power of 1/5, to the nearest integer? 14 What is the square root of 1156868 to the nearest integer? 1076 What is 1479932 to the power of 1/8, to the nearest integer? 6 What is 864865 to the power of 1/10, to the nearest integer? 4 What is 292044 to the power of 1/6, to the nearest integer? 8 What is 140648 to the power of 1/6, to the nearest integer? 7 What is the seventh root of 339577 to the nearest integer? 6 What is 336931 to the power of 1/2, to the nearest integer? 580 What is 27126 to the power of 1/4, to the nearest integer? 13 What is the square root of 25344887 to the nearest integer? 5034 What is the third root of 1017568 to the nearest integer? 101 What is 1029589 to the power of 1/3, to the nearest integer? 101 What is the seventh root of 559697 to the nearest integer? 7 What is the square root of 330432 to the nearest integer? 575 What is 109593 to the power of 1/3, to the nearest integer? 48 What is 212565 to the power of 1/2, to the nearest integer? 461 What is the third root of 4761536 to the nearest integer? 168 What is the eighth root of 738773 to the nearest integer? 5 What is the fifth root of 4792120 to the nearest integer? 22 What is the fourth root of 1960182 to the nearest integer? 37 What is the third root of 32051184 to the nearest integer? 318 What is the third root of 1136324 to the nearest integer? 104 What is 5811057 to the power of 1/3, to the nearest integer? 180 What is 9951794 to the power of 1/2, to the nearest integer? 3155 What is 166111 to the power of 1/4, to the nearest integer? 20 What is 963611 to the power of 1/2, to the nearest integer? 982 What is 6848587 to the power of 1/2, to the nearest integer? 2617 What is 1399681 to the power of 1/2, to the nearest integer? 1183 What is 8390495 to the power of 1/4, to the nearest integer? 54 What is 13986230 to the power of 1/2, to the nearest integer? 3740 What is the fourth root of 52426 to the nearest integer? 15 What is the cube root of 60342 to the nearest integer? 39 What is 4791941 to the power of 1/2, to the nearest integer? 2189 What is the cube root of 915561 to the nearest integer? 97 What is 775236 to the power of 1/2, to the nearest integer? 880 What is 390242 to the power of 1/3, to the nearest integer? 73 What is the eighth root of 1011862 to the nearest integer? 6 What is 8441942 to the power of 1/2, to the nearest integer? 2906 What is 161795 to the power of 1/2, to the nearest integer? 402 What is the third root of 1296203 to the nearest integer? 109 What is the square root of 4314300 to the nearest integer? 2077 What is 513409 to the power of 1/7, to the nearest integer? 7 What is the fifth root of 185184 to the nearest integer? 11 What is the cube root of 65192 to the nearest integer? 40 What is the cube root of 15203525 to the nearest integer? 248 What is 5912220 to the power of 1/3, to the nearest integer? 181 What is 3447432 to the power of 1/2, to the nearest integer? 1857 What is the eighth root of 3818889 to the nearest integer? 7 What is the cube root of 8148743 to the nearest integer? 201 What is the third root of 167786 to the nearest integer? 55 What is the square root of 625359 to the nearest integer? 791 What is 301984 to the power of 1/3, to the nearest integer? 67 What is the eighth root of 642520 to the nearest integer? 5 What is 2838820 to the power of 1/9, to the nearest integer? 5 What is 1009697 to the power of 1/6, to the nearest integer? 10 What is the square root of 8915650 to the nearest integer? 2986 What is the third root of 672820 to the nearest integer? 88 What is 1117145 to the power of 1/2, to the nearest integer? 1057 What is the square root of 3736 to the nearest integer? 61 What is the seventh root of 1349168 to the nearest integer? 8 What is the third root of 3232689 to the nearest integer? 148 What is 15953367 to the power of 1/2, to the nearest integer? 3994 What is 2348017 to the power of 1/3, to the nearest integer? 133 What is 10620459 to the power of 1/5, to the nearest integer? 25 What is the tenth root of 561695 to the nearest integer? 4 What is the tenth root of 7233845 to the nearest integer? 5 What is 1397679 to the power of 1/2, to the nearest integer? 1182 What is 16038598 to the power of 1/7, to the nearest integer? 11 What is the fifth root of 2417468 to the nearest integer? 19 What is the tenth root of 2352935 to the nearest integer? 4 What is the sixth root of 14963254 to the nearest integer? 16 What is 48655 to the power of 1/3, to the nearest integer? 37 What is the third root of 544155 to the nearest integer? 82 What is the third root of 2468444 to the nearest integer? 135 What is the square root of 919870 to the nearest integer? 959 What is the cube root of 1231110 to the nearest integer? 107 What is 15249260 to the power of 1/2, to the nearest integer? 3905 What is 8557099 to the power of 1/10, to the nearest integer? 5 What is 944590 to the power of 1/2, to the nearest integer? 972 What is the cube root of 5942513 to the nearest integer? 181 What is the third root of 104295 to the nearest integer? 47 What is the cube root of 8124 to the nearest integer? 20 What is 4793319 to the power of 1/2, to the nearest integer? 2189 What is the cube root of 5610350 to the nearest integer? 178 What is the square root of 2965874 to the nearest integer? 1722 What is the tenth root of 867001 to the nearest integer? 4 What is the fifth root of 13851957 to the nearest integer? 27 What is 2946224 to the power of 1/4, to the nearest integer? 41 What is the square root of 3136280 to the nearest integer? 1771 What is 405151 to the power of 1/10, to the nearest integer? 4 What is 376525 to the power of 1/3, to the nearest integer? 72 What is the seventh root of 3927843 to the nearest integer? 9 What is 33828281 to the power of 1/3, to the nearest integer? 323 What is the cube root of 881176 to the nearest integer? 96 What is the seventh root of 4809576 to the nearest integer? 9 What is the fourth root of 340837 to the nearest integer? 24 What is 544814 to the power of 1/3, to the nearest integer? 82 What is 11685061 to the power of 1/2, to the nearest integer? 3418 What is 5736208 to the power of 1/3, to the nearest integer? 179 What is the square root of 537455 to the nearest integer? 733 What is the square root of 31466 to the nearest integer? 177 What is 644141 to the power of 1/8, to the nearest integer? 5 What is 1230389 to the power of 1/3, to the nearest integer? 107 What is 1613923 to the power of 1/9, to the nearest integer? 5 What is the cube root of 1838804 to the nearest integer? 123 What is the cube root of 7829128 to the nearest integer? 199 What is the square root of 5519254 to the nearest integer? 2349 What is the third root of 13883370 to the nearest integer? 240 What is 222501 to the power of 1/2, to the nearest integer? 472 What is 9262474 to the power of 1/2, to the nearest integer? 3043 What is the square root of 192235 to the nearest inte
{ "pile_set_name": "DM Mathematics" }
rs picked without replacement from {b: 3, m: 2, g: 1, q: 1}. 2/21 What is prob of picking 1 y and 3 e when four letters picked without replacement from {e: 3, y: 7, k: 8}? 7/3060 Calculate prob of picking 2 u and 1 b when three letters picked without replacement from uwubbnubwu. 3/20 Calculate prob of picking 2 x when two letters picked without replacement from {x: 2, n: 2, c: 3, w: 4}. 1/55 Two letters picked without replacement from xbttw. What is prob of picking 1 t and 1 b? 1/5 Three letters picked without replacement from jsppssjs. What is prob of picking 1 j and 2 s? 3/14 What is prob of picking 1 i, 1 z, and 2 r when four letters picked without replacement from {z: 1, w: 1, p: 4, r: 3, k: 1, i: 2}? 2/165 Three letters picked without replacement from {h: 1, l: 1, f: 5, g: 1, i: 3, v: 1}. Give prob of picking 1 h and 2 f. 1/22 Two letters picked without replacement from trvhhkn. Give prob of picking 1 r and 1 n. 1/21 Three letters picked without replacement from xzzuuztzzzzzzt. Give prob of picking 3 z. 3/13 Calculate prob of picking 2 s when two letters picked without replacement from {s: 3, a: 1, p: 10, t: 3, d: 2}. 1/57 Four letters picked without replacement from {r: 2, d: 3, b: 1, e: 1, v: 3}. What is prob of picking 1 r, 2 v, and 1 b? 1/35 Calculate prob of picking 1 s and 2 r when three letters picked without replacement from {r: 5, a: 1, v: 3, s: 1}. 1/12 What is prob of picking 4 p when four letters picked without replacement from pppp? 1 What is prob of picking 1 g and 2 c when three letters picked without replacement from cggccgggggg? 8/55 What is prob of picking 2 w, 1 f, and 1 n when four letters picked without replacement from fnwffnffffffffw? 22/1365 Calculate prob of picking 2 u when two letters picked without replacement from xxaxxiuaxuuaxka. 1/35 Three letters picked without replacement from {s: 4, p: 3}. Give prob of picking 2 s and 1 p. 18/35 Two letters picked without replacement from jljjjljhvhljevvqej. What is prob of picking 1 j and 1 l? 7/51 Calculate prob of picking 1 s and 1 e when two letters picked without replacement from {s: 2, b: 1, e: 1, c: 1}. 1/5 What is prob of picking 3 j when three letters picked without replacement from jaaaajjajj? 1/12 Two letters picked without replacement from {k: 2, o: 2, g: 1, m: 1, t: 2, v: 5}. Give prob of picking 2 v. 5/39 Two letters picked without replacement from {a: 2, l: 6, z: 1, s: 4, t: 2, r: 3}. What is prob of picking 1 z and 1 t? 2/153 Four letters picked without replacement from hhhmhhhm. What is prob of picking 2 h and 2 m? 3/14 Calculate prob of picking 1 p and 3 y when four letters picked without replacement from {f: 2, y: 5, p: 4}. 4/33 Two letters picked without replacement from yyyyyss. What is prob of picking 2 s? 1/21 Calculate prob of picking 4 l when four letters picked without replacement from lwwllllllllll. 6/13 What is prob of picking 1 u and 2 n when three letters picked without replacement from {u: 2, n: 3, r: 4}? 1/14 Four letters picked without replacement from uvvvffuvvgufgvguf. What is prob of picking 2 u and 2 f? 9/595 Calculate prob of picking 1 q and 1 t when two letters picked without replacement from qjqtttttqqttqqjttt. 20/51 Two letters picked without replacement from {h: 2, q: 1, p: 4, d: 3, g: 1}. What is prob of picking 2 d? 3/55 Two letters picked without replacement from {n: 3, d: 1, y: 5, f: 11}. What is prob of picking 1 d and 1 y? 1/38 Three letters picked without replacement from {a: 4, m: 3, k: 1}. What is prob of picking 2 a and 1 k? 3/28 Four letters picked without replacement from {r: 5, f: 2, t: 2}. What is prob of picking 2 t and 2 r? 5/63 Three letters picked without replacement from {i: 5, h: 3, k: 3, l: 1}. What is prob of picking 1 i, 1 h, and 1 k? 9/44 Three letters picked without replacement from vvkkkkkkkkkkkv. Give prob of picking 1 k and 2 v. 33/364 Four letters picked without replacement from mmknmmmkmkxokxkm. Give prob of picking 1 o, 1 x, and 2 k. 1/91 What is prob of picking 1 o, 1 f, and 1 a when three letters picked without replacement from {a: 1, o: 1, f: 1, r: 2, w: 4}? 1/84 Calculate prob of picking 1 s and 2 e when three letters picked without replacement from jjjejsjjtjjjujess. 3/680 Calculate prob of picking 1 n, 2 c, and 1 q when four letters picked without replacement from {e: 1, q: 1, n: 1, c: 2}. 1/5 Calculate prob of picking 1 p, 1 t, and 1 f when three letters picked without replacement from fkfpftkfefee. 1/44 What is prob of picking 1 w, 1 x, and 1 m when three letters picked without replacement from llldlllmvdwdwllxwm? 1/136 Three letters picked without replacement from {d: 4, c: 3, t: 3, w: 7, h: 2}. Give prob of picking 3 c. 1/969 Three letters picked without replacement from {y: 4, a: 3}. Give prob of picking 3 y. 4/35 Three letters picked without replacement from {e: 7, d: 2}. Give prob of picking 2 e and 1 d. 1/2 What is prob of picking 2 o when two letters picked without replacement from oooh? 1/2 What is prob of picking 1 i, 2 h, and 1 s when four letters picked without replacement from {o: 1, a: 3, s: 2, i: 2, h: 6, r: 1}? 4/91 What is prob of picking 1 p and 1 q when two letters picked without replacement from {r: 1, l: 1, y: 1, o: 6, p: 1, q: 1}? 1/55 Calculate prob of picking 1 h and 1 k when two letters picked without replacement from qqhbbhmbqhk. 3/55 Three letters picked without replacement from ppxcppccpnupc. Give prob of picking 1 x, 1 c, and 1 u. 2/143 What is prob of picking 1 j and 1 x when two letters picked without replacement from {j: 6, w: 4, k: 6, x: 1}? 3/68 Calculate prob of picking 1 s, 1 v, 1 f, and 1 x when four letters picked without replacement from {s: 5, f: 1, h: 1, x: 10, j: 1, v: 1}. 25/1938 Four letters picked without replacement from {p: 5, f: 9}. What is prob of picking 3 f and 1 p? 60/143 Three letters picked without replacement from {i: 5, n: 11}. Give prob of picking 3 n. 33/112 Calculate prob of picking 1 q and 2 o when three letters picked without replacement from {o: 4, q: 2, a: 3}. 1/7 Four letters picked without replacement from tvvvfrvfvvtfttyf. What is prob of picking 1 y, 1 v, and 2 t? 9/455 What is prob of picking 2 v when two letters picked without replacement from {v: 2, c: 5, x: 2, a: 2, m: 1, y: 1}? 1/78 Four letters picked without replacement from {t: 3, v: 2, d: 4, b: 1, g: 2, j: 2}. What is prob of picking 1 g, 1 b, and 2 j? 2/1001 What is prob of picking 1 p and 1 j when two letters picked without replacement from {p: 2, w: 6, l: 1, n: 7, j: 2, a: 1}? 4/171 Two letters picked without replacement from {i: 5, x: 1, j: 1, q: 3, s: 2}. What is prob of picking 1 q and 1 i? 5/22 Two letters picked without replacement from funyauo. What is prob of picking 1 o and 1 y? 1/21 Three letters picked without replacement from {b: 2, i: 16}. What is prob of picking 2 b and 1 i? 1/51 Two letters picked without replacement from {q: 1, u: 6, d: 2, m: 1, j: 2}. Give prob of picking 2 u. 5/22 Three letters picked without replacement from kkyykkkykk. Give prob of picking 3 k. 7/24 Calculate prob of picking 1 o and 3 t when four letters picked without replacement from kcokkdkcdkktdjjott. 1/1530 Three letters picked without replacement from uftrq. Give prob of picking 1 u, 1 r, and 1 f. 1/10 Four letters picked without replacement from {j: 9, k: 2, o: 4, l: 1, f: 3}. What is prob of picking 1 j, 1 o, 1 k, and 1 l? 6/323 Calculate prob of picking 1 h and 2 v when three letters picked without replacement from {z: 3, l: 1, h: 5, v: 3}. 3/44 Calculate prob of picking 1 f and 1 q when two letters picked without replacement from xqfrqlln. 1/14 What is prob of picking 2 s when two letters picked without replacement from {s: 2, o: 2, e: 3, q: 5}? 1/66 What is prob of picking 4 o when four letters picked without replacement from {l: 2, o: 9}? 21/55 Calculate prob of picking 3 i when three letters picked without replacement from zzxxiiiixxzx. 1/55 Two letters picked without replacement from tbtbbqttbbrbqqtbqb. What is prob of picking 1 t and 1 b? 40/153 What is prob of picking 4 s when four letters picked without replacement from {c: 2, s: 6}? 3/14 Three letters picked without replacement from vqeegqeqqqvgqqlgeqel. Give prob of picking 1 e, 1 l, and 1 g. 1/38 Three let
{ "pile_set_name": "DM Mathematics" }
710 - 0.3. -14577209710.3 Work out -1478918 - 7773374. -9252292 Put together -293 and -484171713.34. -484172006.34 55.209+-72765016 -72764960.791 What is 8619207 less than 243.35131? -8618963.64869 Work out -13 + 8770273956. 8770273943 Total of -1424.3766295 and 91. -1333.3766295 Sum 6266532292511 and -1. 6266532292510 What is -0.5 minus 88.831783342? -89.331783342 What is the difference between 7.2 and 3.61567998625? 3.58432001375 What is 2189602.51491 less than -3139? -2192741.51491 47688038+1188046 48876084 What is 173853954 + 1.1143? 173853955.1143 Calculate -11702288866 - 3. -11702288869 Work out 0.5 + 184466.25719336. 184466.75719336 1.2 - 26156615658319 -26156615658317.8 Total of -547.3028 and 11240. 10692.6972 What is the distance between -0.4 and 5262207269957? 5262207269957.4 Put together 5301 and -622149.7. -616848.7 Calculate 3.2871942 + -117076.4. -117073.1128058 What is 0 minus -675467346615? 675467346615 What is the distance between 0.9016 and -0.1559753465? 1.0575753465 Total of 9.816764 and 4204958. 4204967.816764 Subtract 2196 from 8436200. 8434004 Add 663121792 and -20186. 663101606 What is 119064283.25 - -0.11? 119064283.36 Add together 176872976 and -2.0213. 176872973.9787 What is -31289784.55 minus -0.08? -31289784.47 Put together 14 and -49602.6867. -49588.6867 What is 135 less than 1229911.83? 1229776.83 What is the difference between -0.15 and -610640477711? 610640477710.85 Add -3.9 and -1548685516. -1548685519.9 Total of -3908029894 and 13329. -3908016565 Work out -22940 - 3414226. -3437166 0.208 + 678731486 678731486.208 Sum -626317856.888 and 324. -626317532.888 Work out -7406300 + -64309. -7470609 Add 381.3198865 and 135. 516.3198865 What is -9127589504 less than 748? 9127590252 Add together -0.4227 and 5752250067. 5752250066.5773 Add -0.0821 and 63242839871. 63242839870.9179 Add together 14.12126869962 and 36.3. 50.42126869962 Put together -0.851 and -334111397. -334111397.851 Sum 0.454 and 102186765154. 102186765154.454 What is the distance between -0.0970882 and 388178.6? 388178.6970882 Total of -6923721.4431 and -3.2. -6923724.6431 What is 0.3056 plus -13810963.35? -13810963.0444 Work out 20.81 + -707.4409311. -686.6309311 Add together -6.411975 and -36322. -36328.411975 Add 203116.071 and 8.7394. 203124.8104 What is the difference between -143974 and -336.962? 143637.038 What is 5 minus 3219176.4882? -3219171.4882 -0.06+-117334931521 -117334931521.06 -3220+291105484 291102264 Sum 2183 and -0.2433290568. 2182.7566709432 Calculate -9454490 + 136527. -9317963 Calculate -1087.3 + -87300248646. -87300249733.3 What is -72768371 - -394824? -72373547 Calculate -226273879469 + -159. -226273879628 Subtract -230170.2048 from 0.54. 230170.7448 What is the distance between -166.3319249977 and -13? 153.3319249977 Work out -96173572611031 + -0.1. -96173572611031.1 Add -814929 and -7928.321. -822857.321 What is 67217 + -1825501? -1758284 -0.00675593063+0.066 0.05924406937 What is -15.349047308 take away 54? -69.349047308 What is 15.3149 less than -35.037? -50.3519 -324.1944658+-17581 -17905.1944658 What is -5 plus -5778757187955? -5778757187960 What is the distance between 3.309 and 69584423? 69584419.691 What is 2744403536.9 plus -0.1? 2744403536.8 Work out 206367392799 + 127. 206367392926 Put together -5275.364085 and 16. -5259.364085 What is -155.8386602 take away -5469? 5313.1613398 -4303899.6612 - 34.59 -4303934.2512 Total of -30815882322 and -0.5. -30815882322.5 Add 2576969437 and -6286. 2576963151 -311498.3+-1494591 -1806089.3 What is the difference between -148065.7429 and 0.45? 148066.1929 Sum -1803154.235744 and 1. -1803153.235744 Add 52810049439824 and -0.6. 52810049439823.4 1481845484 - -6 1481845490 What is the distance between 4397964.8 and 465.5197? 4397499.2803 What is the distance between -1605031.727 and 0.08? 1605031.807 What is 8 minus 0.050735455965563? 7.949264544034437 Total of 23 and -7.960457954743. 15.039542045257 What is -42.36855 less than -128690? -128647.63145 What is the difference between -0.73 and -173357907378? 173357907377.27 Calculate 4551 - 277515129. -277510578 What is 1.2 plus -19.25915134046? -18.05915134046 What is 7758.1454 minus 34113? -26354.8546 What is 151067545 less than -87.63? -151067632.63 -55.02 + 957109.375 957054.355 What is the distance between 3 and 0.05070763693073? 2.94929236306927 Work out -2.83401 + 189072825. 189072822.16599 Work out -233285 + 0.4202241. -233284.5797759 Add together -63.45452 and 64.691. 1.23648 Add 52 and -860189.02131. -860137.02131 What is -94758707 - 152250? -94910957 -374.565918735+-0.08 -374.645918735 What is -1627 less than -1024062.2436? -1022435.2436 Total of 33718.3 and -11277.9094. 22440.3906 Total of -55891812.5737 and -0.66. -55891813.2337 -793251 - -7984 -785267 Sum -0.0651775000333 and 0.05. -0.0151775000333 What is 95.4 - 3255585209? -3255585113.6 What is -55 plus 15451887585? 15451887530 What is 497995 plus -0.625168? 497994.374832 0.6 - 1.72277278689 -1.12277278689 Work out 19 + 19283210968. 19283210987 Add 116154476 and 1563. 116156039 What is -52 less than 157175754285? 157175754337 What is 15912739.4 - -1996? 15914735.4 412726 + -92221127 -91808401 Calculate -31433.9251888 + 0.04. -31433.8851888 What is the distance between 201 and 65219.5411? 65018.5411 Calculate 804351 - 1414051. -609700 Total of -54434679 and -73.2. -54434752.2 55263.6 + 6016233 6071496.6 Add together -2289019 and 35987. -2253032 What is the difference between -14 and -425880444051.7? 425880444037.7 Subtract 0.04255 from -286755801. -286755801.04255 Add -10 and -2275.645587. -2285.645587 Calculate -95195370.95468 - 0.44. -95195371.39468 2+40281087140524 40281087140526 Work out 176980 - -2.683099. 176982.683099 Calculate 0.5 - -34939918132748. 34939918132748.5 What is 13.0702 less than -8126.0231? -8139.0933 -1218907311+0.93771 -1218907310.06229 Total of -8575 and 1244.351. -7330.649 What is -13045279 take away 0.73324? -13045279.73324 540403 + -94906.707 445496.293 Add together 0.008067 and 4203921655. 4203921655.008067 Sum 0.17 and 11106767044.331. 11106767044.501 Put together -5951 and 807.536306. -5143.463694 Work out 11.6309528527 + 2. 13.6309528527 Put together 4863988480 and -100884. 4863887596 Work out 1280 - 2325169364. -2325168084 142+141087049691 141087049833 What is the distance between -91886032 and -1544.8? 91884487.2 Add -16403.89 and 1.8561. -16402.0339 What is the distance between 27.102086469205 and -0.1? 27.202086469205 What is -477760667519 + 0.2? -477760667518.8 What is the distance between -2436905 and -491924.5? 1944980.5 Add together -967351953.65 and 237. -967351716.65 What is 464180.06 take away -0.873? 464180.933 1.7 + 0.16623610037 1.86623610037 Add -4968535079.4 and 1.05. -4968535078.35 Work out -172195739948 + 0.4. -172195739947.6 What is 11643078284 take away -0.328? 11643078284.328 Sum -3 and 18261.87370625. 18258.87370625 What is 236.83696 less than 5712? 5475.16304 -127.2 + 983933961 983933833.8 Work out 0.1 + -13977879967160. -13977879967159.9 What is -270394196 minus -1881? -270392315 -604448584068 - 518 -604448584586 What is -0.293 + 20274952.21442? 20274951.92142 Calculate 613.5 + -1011943.01019. -1011329.51019 What is the distance between 2 and 17056984.1506537? 17056982.1506537 2139016160 - -158529 2139174689 Add together 715 and -1412743107. -1412742392 What is -17121 minus 0.380232? -17121.380232 -11154 + -18.57237821 -11172.57237821 Subtract -86 from -191725404341. -191725404255 Add 470828 and 27076. 497904 What is -16115 + 2.181602? -16112.818398 Work out -195994 - -0.290224675. -195993.709775325 Work out -130190899735712 + -0.4. -130190899735712.4 What is 2.3902555 take away 2.559? -0.1687445 49.7 + -1288796203 -1288796153.3 -15 + 1672084782871 1672084782856 Sum 45.80499 and -29.7596. 16.04539 What is -0.075 + 8311137.934? 8311137.859 What is -0.4807 less than 34957.775584? 34958.256284 Total of 65339363037 and -2. 65339363035 Calculate 0.053 - 1402186341. -1402186340.947 Work out 16609 - 4635529. -4618920 0.13 + 248282402017 248282402017.13 What is the distance between 1194594646 and -0.044? 1194594646.044 Calculate -144809.719802 - 24. -144833.719802 Add together -17187585.25 and 7.6. -17187577.65 What is -4.0
{ "pile_set_name": "DM Mathematics" }
09. Suppose -p = -4*z - 4*p + 579, 3*z - 438 = -p. Let h = z + n. Is h a composite number? True Suppose 0 = 2*z - 295 - 339. Is z composite? False Suppose 13*x - 8*x - 3*s = 74612, -3 = -3*s. Is x composite? False Let r = 29352 - 5299. Is r composite? True Is ((-429520)/(-117) + (-1)/9)/1 a prime number? True Let t be 3/7 - (-8)/14. Suppose c = -t - 1. Is c/(-6) - (-444)/18 prime? False Let g be (0 - (-20)/(-5)) + 25. Suppose g*w = 19*w + 14878. Is w a composite number? True Let x(z) = 5613*z**2 + 19*z + 53. Is x(-3) a composite number? False Let y(j) = 149*j**3. Let l(p) = 2*p**3 - 2*p**2. Let v be l(2). Let q(u) = -u**3 + 8*u**2 + u - 7. Let x be q(v). Is y(x) a composite number? False Let c(b) = -b**2 - 67*b + 157. Is c(-30) a composite number? True Let j(v) be the third derivative of 0 - v**2 - 11/24*v**4 + 0*v - 5/6*v**3 + 1/30*v**5. Is j(8) a prime number? False Suppose 7*p = -3*d + 2*p - 340, 2*p = 4*d + 410. Let w be ((-108)/(-14))/((-1)/(-28)). Let f = w + d. Is f composite? True Suppose 0 = 3*i - 3*x - 82587, -5*i - 2*x = 2*x - 137681. Suppose 8*z = -3*z + i. Is z a composite number? False Suppose 3*v - 2*g + 32 = 0, -4*v + 3*g = -g + 48. Is -3 - -385 - 12/(v/(-2)) prime? True Let i = -15069 + 35328. Let y = -14116 + i. Is y composite? False Let c(x) = x**2 - 5. Let g be c(-7). Suppose 4*w - 772 = -4*a, -3*w - 420 = -2*a - g. Is a a composite number? False Let t be (32/3)/(-4)*(-243)/3. Is 14445/t + (-1)/(-8) a composite number? False Let r(w) = -w**3 + 9*w**2 + 9*w + 13. Let b be r(10). Let c be (b - 9)*5/(-10). Suppose 2*h - 3 = c*g + 394, 5*g = -h + 166. Is h a prime number? True Let v(u) be the third derivative of 7*u**5/60 + 7*u**4/24 - 5*u**3/6 - u**2. Let g be 10*(15/6)/5. Is v(g) composite? True Let b(a) = -a + 9. Let p be b(7). Let x be (p + (-1 - 2))*-3. Suppose -d + 77 = 4*c, 0 = -4*c + x*d + 2*d + 71. Is c a prime number? True Let k be 341/3 - -2*3/18. Let l = k + -83. Is l a composite number? False Let y = 342 + -215. Is y a prime number? True Let u be (-2)/(-6)*3 - -1654. Suppose 10*k - u = 5*k. Is k a prime number? True Let l(f) = 16*f**2 + 11*f + 11. Let g(j) = -8*j**2 - 6*j - 5. Let n(r) = -7*g(r) - 3*l(r). Is n(-7) composite? False Suppose -10*m - 42 = -222. Suppose -34130 = 8*q - m*q. Is q prime? True Suppose 750*l - 217449 = 741*l. Is l a prime number? False Let w be 4/(-8) - (-3)/2. Is w + (-3 - -5) - -1070 composite? True Let n(o) = 176*o**2 - 9*o - 34. Is n(-5) a composite number? True Let a be (-12)/(-3) - (2 + -1). Suppose a*r - r = 0. Suppose 0 = -r*v - 4*v + 820. Is v prime? False Is (3/(-6))/((-6)/17724) composite? True Let d = -11 - -19. Let i be (-2)/d - 84/(-16). Suppose o = h - 266, 4*h + 766 = 7*h + i*o. Is h prime? False Suppose 0 = 5*y - 4*d - 6465, -7*y + 5*d + 5181 = -3*y. Suppose -4*a + 1036 = 4*k, -5*k = 4*a - 2*a - y. Is k prime? True Let h(f) = -f**3 + 4*f + 3. Let i be h(4). Suppose 0 = 5*z + 1851 - 7281. Is z/5 + 9/i prime? False Let j(a) = -2*a**2 - 14*a - 13. Let c be j(-5). Suppose -4788 + 1666 = -c*t. Is t a composite number? True Let i = -65913 - -131512. Is i a composite number? False Let z be 1/2*1316*3. Suppose 2*x = -x + z. Suppose s - x = -s. Is s composite? True Let j = 27743 + -14950. Is j a prime number? False Let i be (0 + (-12)/8)*6. Let k be (-12 - i) + -1 + 0. Is (-767)/k - 3/4 a composite number? False Let d be (1/(-3))/(3/9). Is (d/(-2))/(4/1192) composite? False Let g = -323 + 742. Is g a composite number? False Let s be (0 - 0) + (-22 - -3). Let x = -21 - s. Is 1893 + x/(-3)*3 composite? True Suppose 27*n = 35*n - 6232. Is n a composite number? True Let p = 26 - 33. Let b = p + 10. Suppose -b*i + 518 = -i. Is i prime? False Let y(h) = -h**2 - 34*h - 98. Let s be y(-31). Let j(i) = 43*i**2 - 6*i - 36. Is j(s) a composite number? False Let c(d) be the second derivative of d**4/2 - d**3/6 - d**2/2 + 3*d. Let q be c(-1). Is 197/q - 1/(-6) a composite number? True Suppose 953 = 3*g + v, g + 78 - 393 = -v. Let w = g + -120. Is w a composite number? False Suppose 0 = l - 6*l + 20. Suppose 188 = -5*m - l*r, 3*m - 4*m - 34 = 2*r. Is 17/(m/14 + 3) composite? True Suppose 0 = -4*t - 4*p + 72, 4*t - 4*p + 9*p - 69 = 0. Is (-3733)/(-5) + 0 + t/(-35) prime? False Let y(i) be the second derivative of -21*i**6/40 + i**5/120 - i**4/3 + 4*i. Let b(z) be the third derivative of y(z). Is b(-1) prime? True Suppose 2*p + 84 = -2*p. Let h be 3396/(-28) + (-6)/p. Let j = h + 236. Is j a prime number? False Let g = 1144 - 168. Suppose -z + 477 = -5*o, g = 2*z - o - 23. Is z a prime number? False Suppose 0 = -y + 7*y - 30. Let r(i) = 56*i**3 - i**2 + i - 1. Let k be r(1). Suppose -y*a = -70 - k. Is a a composite number? True Suppose 0 = f - 5*f + 5*z + 31, -2*z + 14 = 5*f. Suppose -4*a - 5*u = a - 40, 4 = 5*a - f*u. Suppose -2*l = a*l - 1338. Is l prime? True Is (-1 - -4 - (-5 - -979))*-7 a composite number? True Let x(v) = 22*v**3 - 5*v**2 + 24*v - 39. Let y be x(-19). Is 1*1/(-5) - y/15 prime? False Let b(v) = -v - 3. Let c be b(-5). Suppose -8520 = -6*h - c*h. Suppose -o - 5*j = 4*o - h, 3*o = -2*j + 635. Is o composite? True Suppose 7*b = 9*b - 578. Let n = b + -707. Let k = 943 - n. Is k prime? True Suppose -4*n + 6*n = 23582. Is n a prime number? False Suppose -20*j + 112 = -4*j. Is 2 + j*167/1 prime? True Let x = -5 - -4. Is 1/((-2)/(-5879))*(1 - x) a prime number? True Suppose -2*s + 3*r + 46930 = 0, 46910 = 2*s - 11*r + 13*r. Is s composite? False Let v be -1 - -3*60/9. Let a = -16 + v. Suppose a*f = 6*f - 663. Is f a composite number? True Let b = 163 - -341. Let c = b - 347. Is c a prime number? True Suppose 3*h = 4*d + 7, 2*h + h + 5*d - 25 = 0. Suppose h*v - 2390 = 2145. Is v composite? False Let p be 947 + (-4)/(-8 - -4). Let j = 2511 - p. Is j a prime number? False Let t(l) = 2*l + 4*l + l**2 - 43 + 30. Let y = 14 + -23. Is t(y) prime? False Suppose 20 = -5*r, -12*n + r = -10*n - 48322. Is n a prime number? False Is 4312441/28 - (-18)/(-24) prime? False Let g(v) = -v**2 + 7*v + 6*v + 5*v + 36 + 2*v**2. Is g(-25) prime? True Let i(y) = -y**3 - 5*y**2 - y + 9. Let x be i(-4). Let w(t) = -69*t + 12. Is w(x) a prime number? False Let g = 28777 - 10186. Is g composite? True Is 2901920/98 + 9/(-21) prime? True Let z be (-14)/(-4)*(-40)/(-35). Suppose 0 = z*r - 198 - 70. Is r a composite number? False Suppose 5 = -4*i + 21. Suppose -2*r + 101 = j, -i*r - 368 = -j - 3*j. Is j a composite number? True Let j be (-2)/(-10)*0 - (-29599)/1. Suppose -2*y - j = -3*g, -9883 = -g + 6*y - 2*y. Is g a prime number? False Suppose -15*k - 1561 = -8596. Is k a composite number? True Suppose -3*p + 1933 + 8180 = 0. Is p prime? True Let u be (5 - 5)*(-1)/(-3). Suppose u*t - 4*t + 664 = 0. Let p = t + -99. Is p composite? False Let w = 271 + -264. Let p(i) = -i**3 + 2*i**3 + 9*i + 1 + 8*i**2 - 2*i**3. Is p(w) a composite number? False Is (63215/20)/((-11)/(-44)) a prime number? False Suppose 304*q + 3064 = 308*q. Is q composite? True Suppose -28*l = -23*l. Suppose 0 = -l*k + 4*k + 3*b - 524, 5*k - 666 = -b. Is k composite? True Let p = 23 - 9. Let x(i) = 3 - 25*i - 4 + 9*i - p*i. Is x(-2) a prime number? True Let n(j) = -2*j. Let r be n(-4). Suppose -753 = -r*d + 5*d. Is d a prime number? True Suppose -95*t = -123*t + 2732548. Is t a composite number? True Let y(n) = -2*n**3 + 32*n**2 + 17*n - 17. Is y(12) prime? False Suppose -j + 15 = 2*j. Suppose -5*r = 3*s - 28, r = -j*s + s + 9. Suppose -597 = -r*a - 2*z, -5*z + 476 = 4*a - 3*z. Is a composite? True Suppose 4*i - 22 = d + 4*d, -5*i - 2*d = -11. Suppose -k + 394 - 87 = z, -299 = -k - i*z. Let g = k - 198. Is g a prime number? True Is (-16149)/28*(-20)/15 prime? True Suppose 32*t - 1098797 - 354867 = 0. Is t a prime number? True Suppose d = -4*x + 6983, -3*x = -4*x - 5*d + 1722. Is x a prime number? True Let g = 111 - 163. Let p = 105 + g. Is p prime? True Let x = -953 - -10190. Is x a composite number? True Let u = 70 - 98. Let c = -29 - u. Let l(f) = -406*f + 1. Is l(c) a composite number? True Let j(f) = 59*f**2 + 14*f - 281. Is j(-34) a prime number? True Let r = 1 + 0. Let o be r/(-2)*0*-1. Is -2 + -1 + o - -332 prime? False Suppose -2*x = -5*h + 2168 + 427, 0 = -5*h + 3*x + 2590. Is h prime? True Let o(w) = 76*w**2 - 7*w + 8. Let q(v) = -77*v
{ "pile_set_name": "DM Mathematics" }
)/((x**(-8)/x)/x) assuming x is positive. x**2 Simplify q*q**29/q*q*(q*(q/q**(-1/10)*q)/q*q)/q assuming q is positive. q**(321/10) Simplify r**(2/9)*r**28 assuming r is positive. r**(254/9) Simplify (c*(c/c**(-2/3)*c)/c*c*c*c)/c**(11/3) assuming c is positive. c**2 Simplify (s**(-2/3)*s**(-4))/(s**(-2/3))**(22/7) assuming s is positive. s**(-18/7) Simplify (r*r/(r/(r**(-11)/r)))/(r**3*r) assuming r is positive. r**(-15) Simplify (u**1/u)**(-43)/((u**(-10)/u*u)/u**10) assuming u is positive. u**20 Simplify (u*u/(u*u**5))**(3/20) assuming u is positive. u**(-3/5) Simplify (r**23*r*r)**(-39) assuming r is positive. r**(-975) Simplify d**(-17)/(d/(d/((d/(d/d**(-2/9)))/d))) assuming d is positive. d**(-142/9) Simplify (n**(-1/18)/n*n**(-4/3))**(-47) assuming n is positive. n**(2021/18) Simplify (x**1/(x/(x**(-1)/x*x)))/(x*x**(1/2)/x)**(-3/13) assuming x is positive. x**(-23/26) Simplify ((((t/(t**1/t))/t)/t)/t**3)/(t**(-2/9)/t**(-1)) assuming t is positive. t**(-43/9) Simplify (a**(-2)*(a*a**(1/3))/a)/(a**(-3/5)/(((a**(-2/7)/a*a)/a)/a)) assuming a is positive. a**(-352/105) Simplify ((b**(-1))**(1/9))**25 assuming b is positive. b**(-25/9) Simplify (n**(-4/5)/((n/(n*n**(-8)))/n))/((n*n/(n*(n**(1/7)*n)/n))/(n/(n**(2/27)*n))) assuming n is positive. n**(-8251/945) Simplify (g*g*g**(2/9)*g)**(-3/19)/((g*g*g*g*g*g**(-7)*g)/(g**(-1/3)*g)) assuming g is positive. g**(22/19) Simplify (o**(-1/5)/o)**(-49) assuming o is positive. o**(294/5) Simplify (n/(n/((n*(n*n/(n*n**(-7/5))*n*n)/n)/n*n))*n**(-5))**(-42) assuming n is positive. n**(126/5) Simplify (k**1)**(-6/35)*k*k**(-2/13)*k*k*k/((k*k*k/(k/(k**4*k)))/k)*k assuming k is positive. k**(-603/455) Simplify (s*s*s/(s**10/s)*s*(s*s/(s**(3/11)*s)*s)/s)**(-49/3) assuming s is positive. s**(2303/33) Simplify l/(l/l**4)*l*l*l**(5/14)*l*l assuming l is positive. l**(117/14) Simplify (q/q**4)/(q/q**(-2/3)) assuming q is positive. q**(-14/3) Simplify (i**(-4)*i/(i*(i/(i/((i/i**(-1/26))/i)))/i*i))**(-1/7) assuming i is positive. i**(15/26) Simplify t*t/(t/(t**(4/5)/t))*(t*t/t**(2/17))/t assuming t is positive. t**(143/85) Simplify (s**(-1/2)/s*s)**(-47) assuming s is positive. s**(47/2) Simplify s**4/s**(3/2)*s**(2/3)*s*s*s/(((s/s**(-6))/s*s)/s)*s assuming s is positive. s**(7/6) Simplify (u*u**13)/u*u/(u*u*u*u**(-13/5)) assuming u is positive. u**(68/5) Simplify ((i**(-6/5)*i)/(i*i/i**(2/5)))/(i**(2/3)/i**4) assuming i is positive. i**(23/15) Simplify (u**(-1/2)/u)/u*u**0*u**(-5)*u/u**(-6/11) assuming u is positive. u**(-131/22) Simplify y/y**(1/7)*y**(1/4)*((y*y**(-1))/y*y)/y**(1/3) assuming y is positive. y**(65/84) Simplify (s**(1/3)*s)/s**(-1)*s*s*s**7/s*s*s*s/(((s**0/s)/s)/s*s) assuming s is positive. s**(46/3) Simplify (c**0)**12*(c**(-2/5)*c)/c**(-1) assuming c is positive. c**(8/5) Simplify (u**(2/11)/u)/(u/u**(2/25))*u*u**(3/8)*u**(-7/3) assuming u is positive. u**(-17797/6600) Simplify n**3*(n/n**(-2))/n*(n*n**(1/4)*n)/(n**(3/7)/n) assuming n is positive. n**(219/28) Simplify (d*(d**(2/11)/d)/d*(d/(d*d**(-1/4)))/d)**17 assuming d is positive. d**(-1173/44) Simplify (z**14/z)/z**25 assuming z is positive. z**(-12) Simplify (d/(d*d**(2/17)*d)*d**0/d)/(d**(-4)*d*d**(2/15)) assuming d is positive. d**(191/255) Simplify (t**(6/7)*t**(1/5))**37 assuming t is positive. t**(1369/35) Simplify o**0/(o**3*o)*o**(-2/17)/o**(2/11) assuming o is positive. o**(-804/187) Simplify ((v**(-17)/v)/v*v)**28 assuming v is positive. v**(-504) Simplify (t**(-2/7)/t)**(-34) assuming t is positive. t**(306/7) Simplify (((m/((m**(-1/4)*m)/m))/m)**(-1/4))**(-6/11) assuming m is positive. m**(3/88) Simplify l**(-31)*l*l/l**(12/5)*l assuming l is positive. l**(-152/5) Simplify (t**(-13))**36 assuming t is positive. t**(-468) Simplify (o*o/(o**(-5)/o)*o)**(-47) assuming o is positive. o**(-423) Simplify (g**(1/2)*g*g*(g*g/g**17)/g*g)**(-6/5) assuming g is positive. g**15 Simplify (n*n**(-3/13)/n*n*n*n)/(n*n**(-4)) assuming n is positive. n**(75/13) Simplify ((o*o**(-2/5)*o)**(-3/26))**(8/7) assuming o is positive. o**(-96/455) Simplify h**4*h**(-4)*h*(h/h**(-1/2))**(1/6) assuming h is positive. h**(5/4) Simplify (x**(-3)/x**(-3/2))/(x/(x*x**4*x)*x**(-1/8)) assuming x is positive. x**(29/8) Simplify ((x*x**(-2/7)/x)/x)**6*x**3*((x*x/x**(-3)*x)/x*x)/x assuming x is positive. x**(2/7) Simplify s*(s/(s/((s*s**(-6/5)/s)/s)))/s*(s*s**(3/8)/s)/s*s assuming s is positive. s**(-73/40) Simplify v**5/v**(-1/6)*v*v/v**(-2/11)*v/v**(-2/11) assuming v is positive. v**(563/66) Simplify (v**(-2))**(-3/8)*(v/(v/(v*v**(-1))*v*v))**(3/13) assuming v is positive. v**(15/52) Simplify (j**1)**(-45)*j**(3/7)/(j*j/((j**(-5)/j)/j*j)) assuming j is positive. j**(-368/7) Simplify (r**(-4/11)/r**2)/(r*r**5*r*r**(-6/5)*r) assuming r is positive. r**(-504/55) Simplify (u/(u*u**(2/43)*u)*u)/u**1 assuming u is positive. u**(-45/43) Simplify (a**(-5))**(-4/7) assuming a is positive. a**(20/7) Simplify (v**(-6))**33 assuming v is positive. v**(-198) Simplify w/w**(-2/51)*w*w**(2/5) assuming w is positive. w**(622/255) Simplify z/(z**(2/17)/z*z)*(z/z**(-6/17))/z assuming z is positive. z**(21/17) Simplify (l/l**2)**(22/5)/(l**0)**(-3/10) assuming l is positive. l**(-22/5) Simplify (p**20*p)**(-2/13) assuming p is positive. p**(-42/13) Simplify (r**(-28))**1 assuming r is positive. r**(-28) Simplify (s**(-2/19)/s**5)/(s/((s*s**(-2/7)/s*s)/s))**(3/4) assuming s is positive. s**(-3229/532) Simplify (g**4*(g**(-2/11)/g)/g*g*g)**(-3/4) assuming g is positive. g**(-63/22) Simplify (w**0)**(-36)/(w**(-3/5)*w/((w*w**6)/w)*w) assuming w is positive. w**(23/5) Simplify q/(q*(q*q**(1/2))/q)*q**5*((q/(q**(-2/15)/q))/q)/(q/q**(-3/5)) assuming q is positive. q**(121/30) Simplify (k/(k*k**21))/((k/k**15)/k) assuming k is positive. k**(-6) Simplify ((d*d**(-2/3))/(d/((d/d**(-4))/d)*d))/((d**(-4)/d*d)/d**(-1)) assuming d is positive. d**(16/3) Simplify (a**(-2))**(-8/17)/(a*(a/(a*a/(a/a**(2/5))))/a*a*a*a)**(-19) assuming a is positive. a**(4279/85) Simplify (w**(2/7))**(1/43)/((w/(w*w**7))/w**(-3/4)) assuming w is positive. w**(7533/1204) Simplify (k*k**(3/7))/k*k*k**(5/2)*k*k*k*k assuming k is positive. k**(111/14) Simplify g**5/(g**(1/7)/g) assuming g is positive. g**(41/7) Simplify (o**(-1)*o/o**(-3)*o*o)/(o**(-6)*o*o**3) assuming o is positive. o**7 Simplify (m**(-1/3)*m**9)**0 assuming m is positive. 1 Simplify (w**4/w)**(-13) assuming w is positive. w**(-39) Simplify (s**(4/7)*s)**(-16) assuming s is positive. s**(-176/7) Simplify (p*p**(-1/3))**(-45)*((p*p/p**(-2/5))/p)/p*p**(-3/2)/p assuming p is positive. p**(-321/10) Simplify (l/(l**(-2/59)/l))**(1/77) assuming l is positive. l**(120/4543) Simplify w**(2/13)*w*(w**(-2)*w)/w*w*(w*(w/w**(1/10))/w)/(w*w/w**6*w*w) assuming w is positive. w**(397/130) Simplify x**6*x**3 assuming x is positive. x**9 Simplify (c**(-1))**(-2/9) assuming c is positive. c**(2/9) Simplify (d**(-2/17))**(1/7) assuming d is positive. d**(-2/119) Simplify (q/q**(2/35))/q**(2/35) assuming q is positive. q**(31/35) Simplify (x**(-1/3))**4/((x*x*(x*x**(-2/9)*x)/x*x*x*x)/x**(-6)) assuming x is positive. x**(-118/9) Simplify (((o*o/(o/o**9*o))/o)/o*o)/o*o**(-6/11) assuming o is positive. o**(71/11) Simplify (g**3/g)**(-1/65) assuming g is positive. g**(-2/65) Simplify (n/n**(-6))**(10/13) assuming n is positive. n**(70/13) Simplify n**(-13/6)*n**(1/3) assuming n is positive. n**(-11/6) Simplify ((i/(i/i**(-5/4)))/i*i)**26 assuming i is positive. i**(-65/2) Simplify (((o*o/(o**(-2)*o))/o)**(-16/3))**(2/41) assuming o is positive. o**(-64/123) Simplify n**(-2/29)/n**(-6/7) assuming n is positive. n**(160/203) Simplify (i**7/i**0)/((i**(-3)*i)/((i**2*i)/i*i*i)) assuming i is positive. i**13 Simplify ((w*w*w**(-4)*w*w*w*w)/w*w**(-3))/(w**(-3)*w**(3/5)/w) assuming w is positive. w**(7/5) Simplify y**(6/5)*y*y**(-4)*((y**(-3/4)/y*y)/y)/y*y**6/y assuming y is positive. y**(9/20) Simplify n**(-2/17)*n*n/(n/(n**(10/3)*n))*(n/(n*n*n/n**(-5)))/(n*n**4) assuming n is positive. n**(-346/51) Simplify ((b*b**13)/(b*b*b**(-7)*b))**(-2/145) assuming b is positive. b**(-36/145) Simplify (o/(o/(o**(-8)/o*o))*o*o/(o**(-5/7)*o))**(2/19) assuming o is positive. o**(-88/133) Simplify n*n/n**2*n*n*n/n**(-3/5)*(n**1)**16 assuming n is positive. n**(98/5) Simplify (o**2*o**(-2/9)/o)
{ "pile_set_name": "DM Mathematics" }
rs picked without replacement from lvlvlvllmgllvllvl. Give prob of sequence mgl. 1/408 Calculate prob of sequence xx when two letters picked without replacement from {x: 5, i: 11}. 1/12 What is prob of sequence vj when two letters picked without replacement from jjvh? 1/6 Two letters picked without replacement from bsnduncdu. Give prob of sequence ub. 1/36 Calculate prob of sequence mmmk when four letters picked without replacement from {m: 1, l: 2, z: 1, p: 2, a: 1, k: 1}. 0 Two letters picked without replacement from {h: 7}. What is prob of sequence hh? 1 What is prob of sequence oir when three letters picked without replacement from iiorioi? 4/105 Two letters picked without replacement from fww. What is prob of sequence ww? 1/3 Two letters picked without replacement from {r: 5, z: 3, n: 3}. Give prob of sequence zr. 3/22 Four letters picked without replacement from nlllhhhlhhmlmhf. Give prob of sequence lhml. 2/273 Four letters picked without replacement from mmfffmffmmfmffffmff. Give prob of sequence mmff. 77/1292 Two letters picked without replacement from srknnkk. What is prob of sequence kk? 1/7 What is prob of sequence hvov when four letters picked without replacement from vvvvhoovhvvv? 28/1485 Two letters picked without replacement from {v: 16, s: 2}. Give prob of sequence vv. 40/51 What is prob of sequence vlkl when four letters picked without replacement from lllvklvvlllk? 7/330 Two letters picked without replacement from xcxxcxx. What is prob of sequence cc? 1/21 Two letters picked without replacement from eaaeaaaeeaeaaaaa. What is prob of sequence aa? 11/24 Two letters picked without replacement from {b: 2, h: 2}. Give prob of sequence hh. 1/6 Calculate prob of sequence yyyd when four letters picked without replacement from yttdtyytyyy. 1/66 Four letters picked without replacement from wwrwkwkmkkkwwh. What is prob of sequence whwm? 5/4004 What is prob of sequence fl when two letters picked without replacement from {l: 1, s: 3, c: 1, f: 7}? 7/132 What is prob of sequence llg when three letters picked without replacement from nlnlllng? 1/28 What is prob of sequence clr when three letters picked without replacement from rcrccclrlc? 1/24 Calculate prob of sequence lv when two letters picked without replacement from {l: 5, v: 2, i: 4}. 1/11 Calculate prob of sequence ttuo when four letters picked without replacement from {t: 6, u: 1, g: 2, o: 4}. 1/143 What is prob of sequence iuuh when four letters picked without replacement from {u: 2, w: 2, h: 1, p: 4, i: 4, t: 2}? 1/4095 Three letters picked without replacement from chqlfhchqhoqhc. What is prob of sequence coh? 5/728 What is prob of sequence tq when two letters picked without replacement from {u: 2, t: 3, q: 4}? 1/6 Two letters picked without replacement from xqxeiqqiaqqaaqa. Give prob of sequence aq. 4/35 Calculate prob of sequence sf when two letters picked without replacement from sffhhfssss. 1/6 Calculate prob of sequence odc when three letters picked without replacement from ecldo. 1/60 Two letters picked without replacement from {t: 4, f: 4, r: 9}. What is prob of sequence rt? 9/68 What is prob of sequence oo when two letters picked without replacement from ggegsggoesgoeog? 1/35 What is prob of sequence eeed when four letters picked without replacement from rrrrdjrejrdjejrjrej? 1/7752 Three letters picked without replacement from pvyhw. Give prob of sequence vyp. 1/60 Three letters picked without replacement from {w: 1, i: 8, g: 2, e: 5}. What is prob of sequence ige? 1/42 Calculate prob of sequence txqd when four letters picked without replacement from {k: 2, x: 2, d: 1, q: 4, t: 1, r: 2}. 1/1485 What is prob of sequence og when two letters picked without replacement from {c: 2, o: 1, r: 4, g: 2, d: 3}? 1/66 Three letters picked without replacement from {k: 2, h: 2, o: 2}. Give prob of sequence kho. 1/15 Two letters picked without replacement from {n: 3, p: 10, y: 1, w: 2, x: 1}. Give prob of sequence nw. 3/136 Two letters picked without replacement from {f: 5, k: 2, h: 1, j: 3, c: 1}. Give prob of sequence hf. 5/132 What is prob of sequence ml when two letters picked without replacement from {v: 3, g: 2, l: 1, m: 7, a: 3, b: 2}? 7/306 Calculate prob of sequence hy when two letters picked without replacement from {x: 1, h: 1, y: 1}. 1/6 Two letters picked without replacement from svvyysccv. Give prob of sequence yv. 1/12 Two letters picked without replacement from {c: 2, z: 1, y: 2, m: 1}. What is prob of sequence mz? 1/30 Three letters picked without replacement from xxxrrtdxxrxtxrtxrxdx. Give prob of sequence trx. 5/228 Four letters picked without replacement from eoekeeoekegee. What is prob of sequence eeoo? 14/2145 Four letters picked without replacement from vvvavavvav. Give prob of sequence avaa. 1/120 What is prob of sequence jjvj when four letters picked without replacement from {v: 2, j: 16}? 14/153 Calculate prob of sequence rivi when four letters picked without replacement from iifvrrii. 1/70 Four letters picked without replacement from {d: 3, r: 7, u: 1, x: 6}. What is prob of sequence rdxx? 3/272 Two letters picked without replacement from {u: 2, x: 3}. What is prob of sequence ux? 3/10 Calculate prob of sequence jqj when three letters picked without replacement from {j: 4, q: 5, m: 6}. 2/91 Two letters picked without replacement from {v: 3, z: 6, k: 1, g: 4, d: 4, p: 2}. What is prob of sequence kv? 3/380 What is prob of sequence eeg when three letters picked without replacement from {u: 2, g: 3, e: 9, v: 3, l: 2}? 12/323 What is prob of sequence kkk when three letters picked without replacement from vvnvkkkn? 1/56 Four letters picked without replacement from {v: 2, t: 4, c: 1, p: 1}. Give prob of sequence tcvp. 1/210 Two letters picked without replacement from dddwddddddddd. What is prob of sequence wd? 1/13 Three letters picked without replacement from {o: 4, c: 4, j: 4, t: 2}. What is prob of sequence jcc? 2/91 Two letters picked without replacement from fffsfffsssss. Give prob of sequence fs. 3/11 Two letters picked without replacement from {e: 1, b: 2, v: 3, x: 4}. Give prob of sequence bv. 1/15 What is prob of sequence jrjr when four letters picked without replacement from frhhhhhjjhhfhrhj? 1/3640 Three letters picked without replacement from zfzfffzzfff. Give prob of sequence zzf. 14/165 Three letters picked without replacement from {p: 14, i: 5}. Give prob of sequence pip. 455/2907 What is prob of sequence js when two letters picked without replacement from sopsovjsjsos? 5/66 Two letters picked without replacement from cmmmmjjjmmjmevmv. What is prob of sequence vc? 1/120 Three letters picked without replacement from {p: 7}. Give prob of sequence ppp. 1 Calculate prob of sequence ngf when three letters picked without replacement from vbdvgnbf. 1/336 What is prob of sequence ttnn when four letters picked without replacement from tttntttcccnctntn? 1/65 Three letters picked without replacement from {o: 1, x: 2, n: 1, c: 1, p: 1, b: 2}. What is prob of sequence xnc? 1/168 What is prob of sequence xsu when three letters picked without replacement from pkuxsxxx? 1/84 What is prob of sequence ll when two letters picked without replacement from {m: 9, l: 6, x: 2, g: 2}? 5/57 What is prob of sequence ppp when three letters picked without replacement from prrpmrrppr? 1/30 Two letters picked without replacement from {y: 12, g: 2, d: 5}. What is prob of sequence dy? 10/57 Three letters picked without replacement from geeeegggegngn. What is prob of sequence geg? 25/286 Calculate prob of sequence xhxx when four letters picked without replacement from dhdxxuxddhxxxxdhxxd. 21/1292 Calculate prob of sequence jg when two letters picked without replacement from crsjgra. 1/42 Two letters picked without replacement from {z: 1, t: 1, f: 2, q: 2, b: 1}. What is prob of sequence tq? 1/21 Calculate prob of sequence aaaa when four letters picked without replacement from {y: 4, a: 6}. 1/14 Two letters picked without replacement from {q: 12, c: 1, x: 2, u: 1, v: 2}. What is prob of sequence xc? 1/153 Four letters picked without replacement from cecececccececece. Give prob of sequence eecc. 9/130 Two letters picked without replacement from {h: 7, p: 4}. What is prob of sequence
{ "pile_set_name": "DM Mathematics" }
4 + 27443 = 0. Solve 0 = -2*i - 2*w - 10, -7*i - 17 = -z*i + w for i. -4 Let p(k) = 10*k + 9. Let c be p(-4). Let q = 32 + c. Let x be (-3 + 1 + q)*0. Solve 0 = -2*a + w + 4*w, x = -2*a + w for a. 0 Let i = 195 - 95. Let f = -96 + i. Solve f*h = -w - 8, -3*w + h = 3*h + 14 for w. -4 Let s be 8/24 - (-146)/(-6). Let g = -28 - s. Let z be g/(-2) + -4 + 5. Solve 2*l + 4 = l - 4*f, -3*l - z*f = -6 for l. 4 Suppose 0 = 16*i - 0*i - 48. Solve 3*n + 0*g = 2*g, -4*n = -i*g for n. 0 Suppose -74*o + 36 = -39*o - 23*o. Solve -2*i = -2*w - 10, 0 = 5*w - 2*i + o*i + 13 for w. -3 Let z(n) = n**3 - 26*n**2 + 5. Let t be z(26). Suppose 3*d = j - 2*d + 15, -d = -t*j + 21. Solve -f = -3*i + f - 3, i = -j*f - 18 for i. -3 Let k be 539/66 - 8 - 99/(-54). Solve k*j = 3*y + 1, -2*y = 2*j + 108 - 94 for y. -3 Let r = -44611 - -44611. Solve 2*y - 3*u + 2 + r = 0, 0 = -4*y - 5*u - 4 for y. -1 Let o be (-10)/15 + (5 - 38/6). Let l be (-73 - (1 + 0))/o. Solve 0 = 5*w + 5*j + 17 - 7, -5*j - l = -4*w for w. 3 Let w be (30/(-27))/(4/(-36)). Let a(m) = -m. Let l(g) = -5*g - 39. Let z(s) = 6*a(s) - l(s). Let c be z(w). Solve 3*t = -5*q + c, 2*q - t - 14 = -3*t for q. 4 Suppose -6*y = -3*i - 5*y + 45, 5*y = 2*i - 56. Solve 5*p - d = 24, 11*d - 13 = -3*p + i*d for p. 5 Let k(z) = z**3 + z**2 - 8*z + 28. Let t be k(-4). Solve 5*l - 11 = -2*i - t, 3*l = 3 for i. -3 Suppose 0 = 134*k - 146*k. Let h be k/(-9*4/(-12)). Solve 9 = 2*d + l, 5*d + h*l - 3*l = -5 for d. 2 Let i = 32778 + -32768. Solve 5*l + i = 0, 5*o + 2*l = -16 - 13 for o. -5 Let m(n) = -171*n - 9. Let y be m(-1). Let o = -162 + y. Solve -4*r + o*r = -2*k, r = -4*k + 9 for r. 1 Let p(a) = -a**3 - 10*a**2 - 30*a - 184. Let f be p(-9). Solve -3*o - 3 = f*q + 3, -q - 15 = -4*o for o. 3 Suppose -s = -2*u + 58, -37*u + 36*u + 2 = -5*s. Solve 0 = -4*b + b + 5*g + u, 28 = 5*b - 2*g for b. 4 Suppose -732*g + 706*g + 78 = 0. Solve 0 = -2*f - c - 3, 0 = -g*f + 5*c - 1 - 10 for f. -2 Let q(m) = m**2 - 71*m + 395. Let p be q(6). Solve 5*t - z = 15, -p*t - 2 = -2*z - 22 for t. 2 Let t = -52 - -31. Let a = t - -25. Suppose -7 + 115 = 36*g. Solve -c = 3*m + 9, g*m + 13 = a*m - 5*c for m. -2 Let r(x) = 259*x + 2863. Let f be r(-11). Solve -6*g = -9*g - 4*i + f, -3*g = -i - 4 for g. 2 Let y be (-6583)/(-261) + -20 - (-4)/(-18). Solve 0 - 22 = 3*c - 5*a, 3*c + y*a + 2 = 0 for c. -4 Let k be (6/9)/(4/(-6)) - -24. Let w = -23 + k. Suppose w = -3*d + 5*b - 6 + 20, -17 = -5*d + 2*b. Solve 0 = 3*o + 4*x - 14, -d*x + 4 + 8 = 3*o for o. 2 Let s be 12204/270 + -1*(-2)/(-10). Let p be 8*(s/10)/9. Solve 2*w + 10 = 0, 2*y - 20 = -2*y + p*w for y. 0 Suppose -15 = -5*s + i, 0 = 4313*s - 4318*s - 2*i + 15. Solve k = -y - 0*y + s, -4 = 2*y - 3*k for y. 1 Suppose 0 = v - 43 + 38. Suppose v*c - 176 + 166 = 0. Solve s + 0 = 4*d - c, -2*s + 7 = 3*d for d. 1 Let c be (-992)/(-744) - (-2)/3*(3 - 2). Solve -x = -f - 1, -c*f + 7 = 17 for x. -4 Let n be (-5)/((-6)/(36/15)). Suppose 3*w + 12 = -j + 25, 4*j - 10 = n*w. Solve -24 = 5*u + g, 0*u - u - w*g = 2 for u. -5 Let v be 381/5 - (7 - 306/45). Let s = 51 + -125. Let y = v + s. Solve 2*z + y*l - 12 = -2*z, -3*l + 6 = 0 for z. 2 Suppose -t - 2*z = 6, z = 2*t + 80 - 88. Solve 4*i + 7 = -5*q, 5*q + 5*i - t = -12 for q. 1 Let j be 110/30 - 4/6. Suppose w - 2 = j*w, 77 = 4*d + 3*w. Solve 4*l = 4*h - 0*l + 16, -5*h - l - d = 0 for h. -4 Suppose -3*n - 4*u = -8*u - 329, -3*u = 2*n - 242. Let t = -116 + n. Let d be (0 - (1 - t))/(-1). Solve -4*q - 5*m - 10 = -2, 4*q - d*m = -8 for q. -2 Let f be 30/(-50)*(-5)/2 + 3/2. Solve 2*b + f*v = -3*b + 3, v = 3*b + 1 for b. 0 Suppose 3*u = 7*r + 16, 5*u = 10*u - 4*r - 42. Solve 5*n - u + 2 = -3*g, 3*n = 2*g + 1 for n. 1 Suppose -4*t = -0*t - 40. Let i(c) = c - t - 4*c - 15 + 0*c. Let j be i(-9). Solve -j*v - 5*w = -8, -3*v - 5*w - 4 + 11 = 0 for v. -1 Suppose 2*u = 3*u - 4. Let x = 526 + -929. Let m = x + 407. Solve -m*t = -k + 11, 0*k = -3*t - u*k - 13 for t. -3 Let v(l) = l**3 + 7*l**2 + 3*l + 21. Let a be v(-7). Suppose a = 4*d + 4*d - 48. Solve -5*q + 25 = d*t - t, 2*q - t + 5 = 0 for q. 0 Suppose y + 4*g = 25, -3*y + 2*g - 71 = -8*y. Suppose -f - y = 5*d + 12, -4*d - 20 = 4*f. Let w be (0 + -2)/(-1) - -2. Solve f = 3*k, 2*l = l + w*k + 2 for l. 2 Let t(b) = 2*b**2 + 79. Let q be t(0). Suppose w + j + 0*j = q, w - 3*j - 87 = 0. Let k be w/18*2/3. Solve k*l + 5 = -5*c, 2*l - 2 + 6 = -3*c for l. -5 Suppose 116*n - 395 = 69. Suppose 0 = -3*j - 2*u + 18, -j + 2*u = -2*j + 10. Let c be 3/12 - (-19)/j. Solve f - 13 - 4 = -n*y, -c*f + 13 = -4*y for y. 3 Let t = 359 + -639. Let o = 282 + t. Solve 3*b = o*d + 3*d - 5, -5*d - 5 = -b for d. -2 Suppose 4*j = -637 - 851. Let m = j - -376. Solve -m*h = -h - f - 11, -5*f = -4*h for h. 5 Suppose -14 + 11 = -x. Suppose -3*k = -2*k + 4*c - 9, 3*k + 3*c = 18. Solve -o + 2*n = x, 0 = k*o - 4*n + n - 6 for o. 3 Suppose 3563*n - 3574*n = -33. Solve -2*d = n*d + 2*k - 23, -d = -k - 6 for d. 5 Let i be (0 + 235 - 5) + -6. Let j = i - 222. Solve j*a + 6 = 0, 0 = 2*r - 5*a + a - 8 for r. -2 Suppose -2*j = 221*u - 216*u - 1, -2*u - 2 = 0. Solve 0 = -4*b + 5*d + 5, 5*d = j*b - 7*b - 5 for b. 0 Let b(y) = -17*y**3 + 5*y**2 - 4*y - 2. Let l be b(2). Let r be (-1)/(-3) - l/27. Solve r*h - 27 = 2*f - 5, -5*h + 25 = -5*f for h. 4 Suppose 2*k - 52 = -5*c + 63 - 40, 4*k = 0. Solve d - 13 = -5*s, -4*s + 10 = 16*d - c*d for d. -2 Let x = -45 + 43. Let h be x/(-7) - (-2 + (-440)/28). Let m be (-43)/(-9) + 4/h. Solve 4*d + m = 5*c - 0, 4*d - 2*c - 10 = 0 for d. 5 Suppose 3*f + p = 14, -p + 2 = -f - 3*p. Suppose f*d - 203 = -d. Let u = d - 21. Solve 2*a + 0 = -2*z + u, 3*z + 5*a - 18 = 0 for z. 1 Let v(z) = z**2 - 8*z + 12. Let q be v(6). Suppose -c + 10*c - 27 = 0. Solve -13 = -c*f + 2*n - n, q = -f + 5*n + 9 for f. 4 Let z(h) = 0 + 0 + 5 + h + 2*h**2 - 6. Let y be ((-1)/4)/((-3)/(-4) - 1). Let d be z(y). Solve -d*q + 4*o + 11 = -3*q, 17 = 2*q - 5*o for q. 1 Let h(k) = k**3 + 8*k**2 + 14*k. Let g be h(-5). Suppose 0 = 2*s - 2*u, -3*s + 47 - 7 = g*u. Solve m = -4*z + 9 + 4, 0 = 4*z + s*m - 33 for z. 2 Let q be 1 + 12 - (230 - 222). Let s be -7*(6 - 2)*12/(-112). Solve 3*n = -15, s*k = -0*k + q*n + 10 for k. -5 Suppose 0 = 5*v - 4*o + 859, 0*v - 2*v = -5*o + 347. Let j = v + 174. Suppose 6*h - 21 = -4*y + h, 4*y - 17 = -h. Solve -y*d + 2*m = d, 0 = d - j*m for d. 0 Let f = -2589 - -2594. Solve f*s = -c, 12 = -c + s + 6 for c. -5 Let f = -332 + 334. Solve -3*i + 2 = -f*m, 13 = -3*m - 4*i - 7 for m. -4 Let h be (2/(-6))/(12 + (-2)/((-96)/(-580))). Solve 4*w - h*z = -0*z + 4, 0 = -w + 4*z + 7 for w. -1 Let z be 16/12 + 184/69. Solve 0 = -8*v + 4*v - 3*l + 2, 0 = -3*v + z*l + 14 for v. 2 Suppose 0 = -2*p + 5*h - 4, 10 = -19*h + 24*h. Suppose 2*u - 3*u + 4 = 0. Solve -2 = -p*o + 2*g - 4, -g - 4 = -u*o for o. 2 Let r = 3045 + -3031. Solve 4*j + 13 = q, 4*q + 2*j + r = -6 for q. -3 Suppose -17*k + 32 = -19. Solve -k*h = -8*h, -5*c = h + 20 for c. -4 Suppose 223*r - 242 = 222*r. Let d = 251 - r. Let o(v) = v**2 - 3*v. Let u be o(4). Solve 2*y - d = -l, u*y - 6 = -3*l + 5*l for y. 3 Let l = 12250 + -12245. Solve 3*i = 3*f - 24 + 45, 0 = -4*i + l*f + 31 for i. 4 Suppose -35 = -5*l - 5*t, 4*l + 0 - 3 = t. Let h(q) = -7*q + 17. Let n be h(5). Let z = n - -22. Solve 5*r - z = d - 3*d, l*d - 4 = -r for d. 2 Let t = 765 + -375. Let d = t - 388. Let o(v) = 3*v. Let l be o(4). Solve z = 2*u + 12, 2*u + l = u + d*z for u. -4 Let n = 7390 - 7376. Solve 4*s + n = -2*v, -2*v - 8 = -35*s + 36*s for v. -3 Suppose 0 = 3*j - y - 5, 5*y - 17 = 14*j - 13*j. Solve -5*o + 12 = j*c, 35*c - 39*c = -3*o - 16 for o. 0 Let s be ((-10)/(-45))/(5/45). Let z(i) = -8*i + 4. Let k be z(3). Let n be (-38)/(-10) - 4/k. Solve 0 = n*q + 5*x + 33, 3 = -s*q - x - 6 for q. -2 Let m be (30/(-20))/(3/(-4)). Let n = -2 - -5. Suppose 0 = 4*z - i - m + n, 3*i = 4*z + 3. Solve 5*t - 7 - 3 = 0, z = -4*c - 5*t - 6 for c. -4 Suppose -26 = -2*z - 20, -2*z - 12 = -3*q. Solve 5*k = 12*h - 9*h - q, 4*h + 12 = 0 for k. -3 Let p = -4637 - -4619. Let u = -6 + -14. Let s = p - u. Solve -4*t - 4 = -4*l, 1 = -s*l + t + 2 for l. 0 Suppose 103*h + 107*h - 10 = 208*h. Let r(v) = v**3 + 5*v**2 + 3*v - 4. Let s be r(-4). Solve 5*b + h*u + 40 = 0, 3*b + 0*u + 2*u + 21 = s for b. -5 Suppose 42*i = 40*i. Suppose i = -9*j + 2*j +
{ "pile_set_name": "DM Mathematics" }
of picking 2 z and 2 w when four letters picked without replacement from awwwwwzazaa. 1/33 Three letters picked without replacement from {k: 5, m: 2, y: 7}. What is prob of picking 1 k, 1 m, and 1 y? 5/26 Two letters picked without replacement from {r: 6, h: 8, w: 2, a: 2}. Give prob of picking 1 a and 1 r. 4/51 Four letters picked without replacement from zzizsiizz. Give prob of picking 1 z, 1 s, and 2 i. 5/42 Four letters picked without replacement from {r: 5, q: 4, o: 6, y: 1, z: 4}. Give prob of picking 1 y and 3 o. 4/969 Two letters picked without replacement from oiooyoyiiodo. Give prob of picking 2 o. 5/22 Four letters picked without replacement from yydyyyjyyyoodjyjq. What is prob of picking 1 y, 1 q, and 2 o? 9/2380 What is prob of picking 1 r and 1 c when two letters picked without replacement from {o: 1, t: 10, r: 1, c: 5}? 5/136 Three letters picked without replacement from {e: 3, r: 4, j: 1}. What is prob of picking 2 r and 1 j? 3/28 Calculate prob of picking 1 p and 1 h when two letters picked without replacement from grwgwhhp. 1/14 Calculate prob of picking 1 m and 3 v when four letters picked without replacement from {d: 3, v: 6, m: 3, o: 3, x: 1, e: 1}. 3/119 What is prob of picking 2 z and 2 g when four letters picked without replacement from zggzgzzgzzv? 3/11 What is prob of picking 1 o and 2 s when three letters picked without replacement from ossssooosslwsossww? 15/68 What is prob of picking 3 t and 1 k when four letters picked without replacement from uuunytuyykttkttkuu? 1/102 Three letters picked without replacement from cdcjddddcdcdrvjrt. What is prob of picking 1 c, 1 t, and 1 v? 1/170 Calculate prob of picking 1 n and 1 p when two letters picked without replacement from pmlmllnpppemp. 5/78 Two letters picked without replacement from {x: 11, j: 2, r: 1}. What is prob of picking 1 x and 1 r? 11/91 Calculate prob of picking 1 z, 1 g, and 1 c when three letters picked without replacement from {t: 1, c: 2, g: 1, u: 5, w: 5, z: 1}. 2/455 Three letters picked without replacement from hbhgghbttgg. What is prob of picking 2 g and 1 t? 4/55 Two letters picked without replacement from {g: 1, t: 2, y: 4, m: 1}. What is prob of picking 2 y? 3/14 What is prob of picking 4 e when four letters picked without replacement from {e: 4}? 1 Calculate prob of picking 2 x and 2 a when four letters picked without replacement from xiia. 0 Three letters picked without replacement from {x: 1, g: 1, w: 2, t: 1}. Give prob of picking 1 x, 1 t, and 1 g. 1/10 Three letters picked without replacement from jgjjjjjgjjg. What is prob of picking 1 g and 2 j? 28/55 Calculate prob of picking 1 a, 1 y, and 1 p when three letters picked without replacement from apyyaaayaya. 8/55 Two letters picked without replacement from {l: 1, c: 1, i: 7}. What is prob of picking 2 i? 7/12 Two letters picked without replacement from ssrtoohrqoooh. What is prob of picking 2 r? 1/78 Calculate prob of picking 3 l when three letters picked without replacement from {l: 3}. 1 Two letters picked without replacement from {p: 2, e: 2, x: 3, i: 1, z: 2, c: 2}. Give prob of picking 1 z and 1 p. 2/33 Three letters picked without replacement from {h: 2, x: 1, w: 6, y: 4, u: 3}. Give prob of picking 1 u, 1 h, and 1 x. 3/280 Three letters picked without replacement from ffvfvfff. What is prob of picking 3 f? 5/14 What is prob of picking 1 m and 1 j when two letters picked without replacement from {m: 2, r: 1, b: 4, j: 6}? 2/13 Calculate prob of picking 1 v and 1 j when two letters picked without replacement from njvkv. 1/5 Two letters picked without replacement from odee. What is prob of picking 1 e and 1 o? 1/3 What is prob of picking 2 l when two letters picked without replacement from wwlwwlwww? 1/36 Three letters picked without replacement from yfhgybbhhbyhbhhgffyg. What is prob of picking 1 y and 2 h? 1/19 Three letters picked without replacement from iiiiiiiiiiibi. What is prob of picking 1 b and 2 i? 3/13 What is prob of picking 2 n and 1 m when three letters picked without replacement from dxynymdqn? 1/84 Two letters picked without replacement from {b: 3, h: 4}. Give prob of picking 1 b and 1 h. 4/7 What is prob of picking 1 g, 1 z, and 1 m when three letters picked without replacement from {z: 5, w: 5, q: 1, m: 4, g: 4}? 80/969 Four letters picked without replacement from pppcpppppcccpppppppp. Give prob of picking 4 p. 364/969 Two letters picked without replacement from {v: 2, d: 2, t: 9}. What is prob of picking 2 v? 1/78 Calculate prob of picking 3 h and 1 n when four letters picked without replacement from hhhhhhhhhhnhh. 4/13 Calculate prob of picking 4 e when four letters picked without replacement from {e: 10, l: 3, b: 1, p: 1}. 2/13 What is prob of picking 1 u and 1 s when two letters picked without replacement from {l: 1, z: 2, y: 1, b: 1, s: 1, u: 2}? 1/14 What is prob of picking 1 o, 1 z, and 1 b when three letters picked without replacement from {o: 1, b: 2, v: 1, z: 1}? 1/5 Four letters picked without replacement from kkdlddkddddkld. What is prob of picking 4 k? 1/1001 Four letters picked without replacement from zzzzuzuzzzuzzzzz. Give prob of picking 4 z. 11/28 Two letters picked without replacement from {l: 1, m: 4, p: 5, f: 3}. Give prob of picking 1 l and 1 f. 1/26 Three letters picked without replacement from mmzmzmzzzzmmmzzz. What is prob of picking 3 z? 3/20 Three letters picked without replacement from {r: 1, x: 1, h: 1, d: 1, q: 1}. What is prob of picking 1 d, 1 h, and 1 x? 1/10 What is prob of picking 1 o and 1 j when two letters picked without replacement from oojjoj? 3/5 Three letters picked without replacement from pppppqqqqp. What is prob of picking 2 p and 1 q? 1/2 Calculate prob of picking 1 c and 2 k when three letters picked without replacement from xqxckkkkxkqkxkk. 4/65 Three letters picked without replacement from vmqxddvvdmmqxqxq. Give prob of picking 3 q. 1/140 Two letters picked without replacement from earlaerraaaelal. What is prob of picking 1 r and 1 e? 3/35 Two letters picked without replacement from {y: 3, i: 9, r: 1, k: 3, c: 2, l: 1}. What is prob of picking 2 y? 1/57 Calculate prob of picking 1 d and 1 c when two letters picked without replacement from dfzffdndcndrfzfrf. 1/34 Calculate prob of picking 1 b and 1 e when two letters picked without replacement from dbgbbkkdkbkkgbbdebkd. 7/190 Two letters picked without replacement from {b: 2, u: 1, z: 1, y: 5}. Give prob of picking 1 y and 1 u. 5/36 What is prob of picking 1 h, 1 o, and 2 x when four letters picked without replacement from {o: 1, x: 2, e: 2, h: 1, k: 1}? 1/35 Three letters picked without replacement from qaqaaaaaaqaaaaa. Give prob of picking 2 a and 1 q. 198/455 Four letters picked without replacement from {q: 2, t: 7, z: 4, m: 1}. Give prob of picking 2 q and 2 z. 6/1001 Four letters picked without replacement from {y: 3, c: 4, v: 2, e: 3, l: 6}. What is prob of picking 3 l and 1 v? 2/153 Four letters picked without replacement from {d: 4, v: 6, z: 1}. What is prob of picking 4 v? 1/22 Three letters picked without replacement from {j: 4, e: 2, g: 5, v: 8}. What is prob of picking 1 e and 2 v? 56/969 Three letters picked without replacement from {h: 1, i: 18}. Give prob of picking 1 h and 2 i. 3/19 Two letters picked without replacement from tdpptfppftfpap. What is prob of picking 1 t and 1 a? 3/91 Two letters picked without replacement from twvtpwppatvwzzp. Give prob of picking 1 z and 1 v. 4/105 What is prob of picking 1 w and 1 v when two letters picked without replacement from wblbwvn? 2/21 Two letters picked without replacement from {q: 2, i: 1, z: 4, r: 2}. What is prob of picking 2 r? 1/36 What is prob of picking 3 y and 1 o when four letters picked without replacement from oyooyoyddy? 8/105 Calculate prob of picking 2 f and 1 p when three letters picked without replacement from {f: 2, p: 1, i: 1, n: 5}. 1/84 What is prob of picking 4 w when four letters picked without replacement from ugwg? 0 Four letters picked without replacement from {f: 2, c: 6, u: 2, a: 2, y: 3, e: 2}. What is prob of picking 3 y and 1 e? 1/1190 Calculate prob of picking 1 s and 2 b when three letters picked without replacement from imbsmitssxbiimm. 3/455 Calculate prob of picking 1 o, 1
{ "pile_set_name": "DM Mathematics" }
et w be 14/18 + 2/9. Suppose w = -v - 0. Which is bigger: v or d? d Let g(r) be the third derivative of -r**4/24 - r**3/3 + 5*r**2. Let o be g(-5). Which is smaller: o or -1? -1 Let h(b) = 8*b - 5. Let i be h(2). Let p = i + -10. Is p smaller than 3/7? False Let h be (-30)/(-56) - (-1)/(-4). Let q = -2/156707 + -170810616/1096949. Let x = 156 + q. Is h less than or equal to x? True Let o = 2/43 - 71/602. Let y = o - -31/42. Which is greater: y or -0.2? y Let h = -11 - -5. Let l = h - -5. Which is greater: l or 3/14? 3/14 Let s be 30/26 - (-2)/(-13). Which is bigger: 1/28 or s? s Let z = -0.05 - -0.45. Let q = z + -0.3. Let g = 2 + -1. Which is smaller: g or q? q Suppose 3*o + 9 = -0*o. Let a be (-2)/(-8)*70/(-5). Which is smaller: o or a? a Suppose 0 = -r - 3*q + 18, 2*q = 2*r + r - 21. Let k be 2/r + 2 + -2. Suppose 0 = -2*v + 4*j + 2, 2*v - 1 = -4*j + 7*j. Is v bigger than k? False Suppose j = 5*j + 40. Suppose 4*x + 63 = 5*i, -5*x + 2*i - 66 = -0*x. Let r = x - j. Which is smaller: r or -1? r Let o = -39 + 48. Is 9 <= o? True Let r be ((-23)/(-33))/(-1 - 0). Let j = r - -4/11. Suppose 3*w + 2 = -1. Is w bigger than j? False Let g = -1.8 + 4. Let w = -9 + 9.8. Let b = w + g. Is b greater than -1? True Let z = 6 - 5. Suppose 2 + z = 3*k. Suppose 5*v = v. Are k and v equal? False Suppose -p + 4 = 4*j - 9, 5*p + 4*j = 33. Let r(f) = f - 4. Let z be r(p). Let n be (-5)/(-3) - 2/3. Does n = z? True Let r = 0 + 1. Let a = 0 - r. Let i be ((1 - 2)/6)/((-15)/20). Do a and i have the same value? False Let m = 0 - 1. Let d = m + -4. Let a = -5 - d. Is 0 <= a? True Let d = -56 + 57. Which is smaller: 16 or d? d Let z = 13 + -12.8. Is z >= -9? True Let t = 3 - 2. Let b be -7 - (-10 + 6) - 70/(-26). Which is bigger: t or b? t Suppose -3*q + 3*r = 0, 2*q = 2*r + 3*r - 3. Let f = 4.1 + -4. Let l = -0.1 + f. Which is smaller: q or l? l Let n be ((-1)/(-2))/(44/(-16)). Are 0 and n non-equal? True Let u be 4/(-14)*(-1)/(-2). Let a be (-77)/66 + 6/12. Is u greater than a? True Let n(o) = -o**2 - 7*o - 3. Let w be n(-6). Let r be 3 + -2 + (w - 1). Suppose 28 = 4*a - 4*l, 3 - 26 = -5*a + 2*l. Is r bigger than a? False Let k(t) = t**3 - t**2 - t - 1. Let q be k(0). Which is smaller: q or -16/7? -16/7 Let f(b) = -2*b**3 + 2*b**2 + 4*b + 3. Let n be f(-2). Let q = n + -18. Which is smaller: -1 or q? -1 Let o(m) = -m**2 - 4*m - 1. Let g be o(-3). Is g at least 2? True Let m = -4 - 0. Let z be -1 - (20/m - 0). Is -2 at least as big as z? False Let m be (-2 - 68/(-8))/1 - 2. Which is smaller: 6 or m? m Let c be (48/(-15))/(2/10). Let r be (c/4)/4*14. Are r and -14 nonequal? False Let t be 33/74 - (-1)/(-2). Let o be (32/(-24) - (-2)/6) + 1. Is t < o? True Let p be ((-20)/15)/(4/6). Let i be ((-44 - 0)/2)/p. Is i smaller than 9? False Let o = 3 - 2.9. Let d = -13 - -18. Which is smaller: d or o? o Let y = -64.1 + 64. Let t = 14 + -8. Does y = t? False Let b = -25 - -24.9. Which is smaller: b or 2? b Suppose 10 = -5*l - 0. Let s = 5 + l. Let h be 8/s + (-4)/6. Are h and 0 nonequal? True Let h = -13 + 26. Is 0.1 > h? False Let w be (-630)/27 + 4/(-6). Let m be (-16)/w*-3*3. Let y be (-2)/m*(-3)/5. Which is smaller: y or 1? y Let q be ((-8)/(-3))/(4/82). Let k = q - 811/15. Is k >= 0.1? True Let q(f) = f - 1. Let n be q(0). Let m be n/(-4) - (-10)/56. Suppose j - 10*a + 21 = -14*a, -4*j = -2*a - 6. Are m and j equal? False Let b(k) = -k - 4. Let s be b(-4). Let v(f) be the second derivative of f**5/20 - 2*f**4/3 - 4*f**3/3 - 5*f**2 - f. Let n be v(9). Which is bigger: s or n? s Suppose 12*v + 4 = 16*v. Let i be v + -3 + 1584/801. Is i greater than 0? False Let d = 4 - 6. Which is greater: d or -4? d Let c = 2 - 8. Let w(u) = u**3 + 6*u**2 + u + 4. Let q be w(c). Let d = 5 - 8. Is q != d? True Let v = -0.042 - -0.142. Is -45 greater than or equal to v? False Let w(f) = 6*f + 2. Let k be w(-2). Let v = k + 13. Which is greater: 4 or v? 4 Suppose 5 = -3*x - 1. Let v be x/(-66)*6/(-2). Which is greater: v or 1? 1 Suppose -3*l + 5*n - n = 25, l - n + 10 = 0. Let z be (-9)/l - (-205)/(-425). Do z and 1 have the same value? False Let j = 3.84 - -0.16. Let w = j - 0. Does 2 = w? False Let h(z) be the first derivative of z**4/4 + 2*z**3 - z**2/2 - 8*z - 2. Let b be h(-6). Let c be ((-39)/6 - -2) + 2. Which is bigger: c or b? b Let u = -1.5 + 0.1. Let i = u + 1.5. Is -2/5 less than i? True Let v = -27 + 20.6. Let f = v - -0.4. Let j = 5 + f. Which is greater: j or 1/2? 1/2 Let m(c) = -c**3 - 2*c**2 + c + 2. Let b be m(-2). Are -2/9 and b non-equal? True Let u(h) = -h**2 + 12*h. Let j be u(12). Suppose -5 = -5*n, 0 = 5*i - n - j*n - 14. Let q be 0 - 3*(-2)/3. Is q not equal to i? True Let c = -0.6 + 0.4. Let d(j) = j**3 - 6*j**2 - 8*j + 9. Let h be d(7). Is c at least as big as h? False Suppose 464 = 3*z - 82. Let k be ((-4)/z)/(1/(-7)). Suppose -y + 0*y = 0. Is y greater than k? False Let z = -0.004 - -1.004. Is 1 > z? False Let r be (740 - 6)/((-7)/(-1)). Let a = r - 105. Suppose 0 = 4*g - 4*m + 24, 2*g - m = -2*g - 9. Is a greater than g? True Let l be (-5 - -3) + (-3 - -6)*1. Is 2/29 <= l? True Let d = -1359/4 + 368. Let g = -28 + d. Which is smaller: 6 or g? g Let o = -4 - -1. Let q = 6 - 5. Is q <= o? False Let a(d) = 7*d**3 + d**2 - 1. Let w be a(-1). Suppose -2*x + 3*k - 11 = 0, -8*k = -3*k - 15. Which is smaller: x or w? w Suppose -3*w - 5 = 2*w. Let s be ((0 + -2)*w)/2. Let d = -97 + 98. Is s at least d? True Suppose 5*g - 16 - 9 = 0. Suppose -g*t = -k + 5, k - 4*t - 5 = -0*k. Suppose -2*s + k*c - 14 = -2, 0 = -s - 4*c + 7. Which is greater: s or -2/3? -2/3 Suppose -4*n = 3*j - 7, 2*j = -0*n - n - 2. Suppose -h - 5*z = 6, -10 = 3*h + n*z - 3. Are -2/51 and h unequal? True Suppose -12 = -0*k - 3*k. Suppose k*i = -2*a - 10, -2*a - 1 = 2*i - 7*i. Let n be i + -2 - (-4)/2. Which is bigger: n or 0? 0 Suppose 10*s = 6*s + 24. Let d = 7 - 2. Suppose -d*i + 6*i = 7. Which is smaller: i or s? s Let n = -15 - -17. Which is greater: n or 6/5? n Let t(j) = 9*j**2 - 2*j + 1. Let z be t(1). Suppose -2*w + 4*c = -12, -4*c - 26 = -5*w - z. Which is greater: w or -2/9? w Let i = -0.1 - -3.1. Let x = 3.2 - i. Let t = x + -0.3. Which is bigger: 1/4 or t? 1/4 Let p = 10797/25 + -432. Is p less than or equal to 1? True Let m = 5.2 + -0.2. Let h = 0.2 + -0.3. Are m and h equal? False Suppose -4*u + 5*l = 4, -2*u + 5*l - 3 = u. Which is greater: u or -2/7? -2/7 Let y(p) = -p - 1. Let v be y(1). Let h be (6/4)/(1/v). Is -5/3 equal to h? False Suppose -1 = 2*d - q + 1, 5*d + 5*q - 10 = 0. Is d at least 1/61? False Let f(b) = -b**2 + 2*b - 1. Let v be f(1). Suppose -g - 4*g + 5*a + 15 = 0, 4*a = -4*g + 12. Suppose -l - 2 = -g. Which is bigger: v or l? l Let j(x) = -x + 11. Let u be j(7). Suppose 5*g - 14 = -u*z, -3*g - g = 4*z - 12. Let w be (-10)/(-36)*4/(-10). Which is greater: z or w? z Let n = -0.5 + 0.4. Let k = n - 4.9. Let i = k + 5. Which is greater: -4 or i? i Let p(m) = m - 2. Let d be p(3). Suppose -u = -2*u + 2. Is u smaller than d? False Let u(l) = -l**2 - 13*l - 10. Let c be u(-12). Let a be (-3)/(-24)*-2*c. Is a less than or equal to 4/3? True Let g be 1/(-2) - ((-30)/4)/15. Which is bigger: 2/5 or g? 2/5 Let t be (-3710)/56 - (-6)/(-8). Are t and -67 nonequal? False Suppose -3*t = -4*a + 582, a + t + t = 140. Let j = a + -1298/9. Which is smaller: 0 or j? j Let j(f) = -f**2 + 9*f - 4. Let z be j(9). Let v be (-2)/(-6) + (-37)/3. Let x be (v/8)/(1/2). Which is bigger: z or x? x Let v = 1/418 + 11281/2090. Let b = v - 103/20. Does b = 1/5? False Let h(s) = -2*s + 6. Let b(d) = -d + 1. Let q(c) = b(c) - h(c). Let y be q(4). Is -1/3 not equal to y? True Suppose -3*p + 22 = -4*c, -2*c - 23 = -3*p - 3. Suppose -5*l - 2 = -4*i - 48, -5*l + 38 = -2*i. Is p bigger than l? False Let n be (-1)/(2/(22/1)). Let g = n - -15. Which is bigger: 5 or g? 5 Suppose 5*p = 2*p + 240. Let k = p + -396/5. Is 1 bigger than k? True Let b(s) = 2*s**3 + 2*s**2 - 2*s - 2. Let r = -8 - -6. Let v be b(r). Let m(i) = -i**2 - 4*i + 5. Let k be m(-6). Is v smaller than k? False Let p = 14 + -13.6. Are p and 0.3 unequal? True Let a be 26/42 - 2/7. Let u = 26 + -25.9. Are u and a nonequal? True Let w = -14 - -14. Which is smaller: w or 14? w Let n be -4*(1 + (-14)/8). Suppose 0 = -2*r - 2, 2*t + r = -0*r - n. Let
{ "pile_set_name": "DM Mathematics" }
- 0.6. Let d = 83.67 + -85. Let u = d + 0.33. Which is the second biggest value? (a) k (b) u (c) -7 b Let y = 6.27 - 1.27. Which is the third biggest value? (a) 2/21 (b) 3 (c) y a Let t be 10/(-3)*12/(-8). Which is the biggest value? (a) 3 (b) t (c) -5 b Let m(y) = -y**2 + 18*y + 24. Let j be m(16). Which is the fourth biggest value? (a) j (b) 2 (c) 5 (d) -0.5 d Let i = 35.9 - 16.6. Let k = i + -3.3. Let j = 16.3 - k. Which is the second smallest value? (a) 2 (b) j (c) 0.7 c Let n = -59.3 - -59. Suppose -7*p + 8*p = -10. Which is the second smallest value? (a) p (b) 1 (c) n c Suppose 0*u - 15*u = 0. Let z = -15.1 + 16. Let h = z + -1. What is the second biggest value in h, 1, u? u Let v = 10 + -5. Let l = 35 - 20. Let n = l - 14. Which is the third smallest value? (a) -3 (b) v (c) n b Let l = 168 - 170.1. Which is the third smallest value? (a) 0.3 (b) l (c) -0.1 (d) -1 c Suppose 0*r - r = -11. Let d = r - 39. Let n be (-8)/d*2/(-4). What is the third smallest value in n, 0.5, 1? 1 Let v = 4.3 - 6.1. Let k = v - -2.1. What is the fourth biggest value in 2, 1/6, k, 4/3? 1/6 Let l = 20/9 + -71/36. Let g = -27 - -1. Let m = 24 + g. Which is the biggest value? (a) l (b) m (c) -0.3 a Let s = 92.2 + -92. Which is the second smallest value? (a) -20 (b) s (c) -0.06 c Let j = 0.2 - -2.8. Let f = 0.0176 - 2.5176. Let u = j + f. What is the third biggest value in u, 1, 0? 0 Let s = -0.3 - 0. Which is the fourth biggest value? (a) s (b) -2/23 (c) 1 (d) -1 d Let n = -3.18 + 67.68. Let x = n + -64. Which is the fourth smallest value? (a) x (b) 24 (c) 3 (d) 2 b Let l = -0.08 + -0.18. Let t = l + 0.21. Let x be (-6)/28 + (-2)/(-4). What is the third smallest value in t, x, 5? 5 Let v = 22 + -26. Let y be (-6)/v*6/(-243)*3. Which is the third smallest value? (a) -0.5 (b) y (c) -4/9 (d) 1 b Let d = 64.3 - 65.3. What is the second biggest value in d, 1, 35.4? 1 Let l be ((-8)/4)/2*-27. Let k be l/9 - 50/14. Let z = 158/7 + -22. What is the biggest value in 2/15, z, k? z Let d = -1 - -2. Let b = 345 - 347. What is the smallest value in b, d, -10? -10 Let o = 456.2 + -398. Let v = 58 - o. Which is the second biggest value? (a) -2 (b) -1/2 (c) -2/11 (d) v d Let s = 127/371 - 3/53. Let n = 274 + -3012/11. Which is the third biggest value? (a) s (b) n (c) -1/4 (d) -0.4 c Let v = -166 + 661/4. Let c = 0.05 - -1.95. Let z = 55 - 54.5. What is the third biggest value in c, z, v? v Let u = -58 - -62. Suppose -2 - 10 = -3*o + 3*n, -3*o + 6 = 3*n. What is the biggest value in 2/13, u, o? u Suppose -5*n = v - 6*v - 20, -7 = -2*n + v. What is the second biggest value in 23, -4, n? n Let f = -89 + 88. What is the second biggest value in 1, f, -17? f Let q = -2968 - -2963. Let z = 101/516 - 12/43. What is the second biggest value in z, q, 1? z Let u = 85 + -81. Which is the third biggest value? (a) 0.2 (b) 3 (c) u (d) -3 a Let f = -86.2 + 141. Let r = -55 + f. Which is the second biggest value? (a) r (b) -1/8 (c) 1/2 b Let s = 3 + -2.5. Let c = 68 - -26. Let v = 91 - c. What is the third biggest value in -4/3, v, s? v Let p be 296/111 + ((-8)/(-6))/(-2). What is the fourth biggest value in 0, 4, -2/15, p? -2/15 Let l = -45.8 - -46.1. Let x = -0.03 + 4.03. Which is the fourth smallest value? (a) -0.1 (b) x (c) -0.3 (d) l b Let j = -0.131 + 15.531. Let r = 15 - j. What is the second biggest value in 0.3, -3, r? r Let y(r) = -r**3 - 2*r**2 + 2*r + 1. Suppose 0 = 7*t - 11*t - 8. Let c be y(t). Let s = -1 - 0. What is the third smallest value in s, -0.4, c? -0.4 Suppose 0 = 2*r + 47*d - 49*d + 18, -2*d + 2 = 2*r. Which is the third smallest value? (a) r (b) -0.149 (c) 2 c Let u = 8 - 4. Suppose s + 11 = 4. Let f = -9 - s. Which is the second smallest value? (a) u (b) -4/3 (c) f b Let s = -8 - -10. Let p = -196 - -193. Which is the third biggest value? (a) s (b) -2 (c) p c Suppose -3 = 5*y + 17. Let d be 3/18*-5*8/10. What is the second smallest value in 4, d, y? d Let w = -668.3 - -668. Which is the smallest value? (a) -4 (b) 29 (c) w a Let x = 1 + -4. Let f = 3 + -4. Let k = 3079 - 3078. What is the third smallest value in k, x, f? k Suppose 5*f = -5*g - 20, -10 = 5*f + 5. What is the second biggest value in 0.4, 175, g, -2/3? 0.4 Let m = -0.1109 - -0.2109. What is the third biggest value in m, 0.3, 124/7, 2/15? 2/15 Let c be (-30)/(-4)*104/(-12). Let q be (22/(-10))/(26/c). Let x = 5 - q. What is the third biggest value in 2/5, 3, x? x Let t = 754 + -753.691. Let v = 0.091 + t. Which is the third biggest value? (a) 1/2 (b) v (c) 0.16 c Let w = -3.4 - -3. Let y(g) = -26*g**2 + 157*g - 2. Let u be y(6). Which is the second biggest value? (a) -1 (b) u (c) w c Let y(i) = -4*i + 4. Let r be y(-2). Which is the third smallest value? (a) 1 (b) r (c) 0.7 b Let p = -594 + 589. Which is the smallest value? (a) 2.6 (b) -0.3 (c) p c Let w = 94.7 - 94.7. Which is the third smallest value? (a) 2/5 (b) -11 (c) w (d) -0.1 c Let t = 101 - 2.9. Let v = t - 116. Let o = 18 + v. Which is the second smallest value? (a) 4 (b) o (c) -2 b Let v = -1.1 + 0.94. Let c = v + 1.36. Let p = c + -0.8. What is the second smallest value in -5, p, -2/21? -2/21 Let r = -2523/7 + 2603/7. Which is the smallest value? (a) 3 (b) r (c) -0.2 c Suppose 21 + 139 = -2*l. Which is the second smallest value? (a) -0.5 (b) l (c) -0.2 a Let h = -532 + 527. What is the third smallest value in h, 3, -1/37, 0.5? 0.5 Let x(b) = 10*b**2 + 8*b + 15. Let r be x(-3). What is the smallest value in r, -1/4, 0.3? -1/4 Let j = -38.2 - -1.2. Which is the third biggest value? (a) j (b) 3 (c) 0.2 (d) 1/2 c Let f = 2.93 + 0.07. Let z = 824/7 + -118. Which is the second smallest value? (a) z (b) 5 (c) 9 (d) f d Let y = 1468 - 1472. What is the second smallest value in 8.01, -2, y? -2 Let z be (-8)/(-48) - ((-2)/2 + 1). Let h = -12 + 20. Suppose -a + 1 = 4*v + 7, 4*a = h. What is the third biggest value in v, 2, z? v Let r = 0.2 + 0.3. Let u = r + 1.5. Let d = -37.1 + 36.9. What is the biggest value in 0, d, u? u Let p = -0.087 + -0.213. Which is the biggest value? (a) -0.2 (b) p (c) 4 (d) 0.4 c Let p = -91.9 - -92. Which is the biggest value? (a) p (b) 0.2 (c) -0.5 (d) -5 b Let p = -5 + 9. Let m = 107/156 - 1/52. Let r = 7727 + -7731. Which is the biggest value? (a) m (b) p (c) r b Let b(w) = w - 11. Let u be 0*(3/(-6))/((-5)/(-10)). Let l be b(u). What is the biggest value in -1, 4, l, -3? 4 Suppose -2*f = -5*f + 2*o, -3*f - 5*o = 0. Suppose -5*a + 5*w - 180 = f, 3*a + w + w + 88 = 0. Let l = a - -29. What is the smallest value in -1/5, l, -0.5? l Let j be 44*(-4)/(-24)*-3. Let p = j - -32. Suppose -2*k + 2*x = p, 0*x = 4*k + x + 5. Which is the third smallest value? (a) 13 (b) -2/17 (c) k a Let i = -592034 + 322658411/545. Let k be 1/(-1) + 107/109. Let x = k - i. Which is the third smallest value? (a) x (b) -4 (c) 3/2 c Let p = 66 - 66. Let v be (4 - p)*(5/(-4) - -1). Which is the biggest value? (a) v (b) 2 (c) 3 c Let t = 2/79 + -85/237. Let o = -1.71 - -1.4. Let u = o - -0.81. Which is the smallest value? (a) -5 (b) t (c) u a Let c = -147 - -162. What is the third smallest value in -4, -0.3, c, 2? 2 Let x = 569/2 + -286. Let h = -2362/77 + 216/7. Which is the third smallest value? (a) 4 (b) h (c) x a Suppose 0 = -2*s + 4*m + 12, 2*m = 3*s + 3*m + 10. Let u = 1/148 - -437/1036. Which is the third smallest value? (a) s (b) u (c) -4 b Let j be 4*(-1)/22 - 1020/(-3553). Which is the third biggest value? (a) j (b) 1.6 (c) 1/8 a Let h be (795/(-21))/(94 + -1). Let y = h + -2/93. Suppose 196*z - 192*z = 0. Which is the smallest value? (a) z (b) y (c) 3 b Let k = 2.1 - 2.2. Let z = -37.9 - -38. What is the third smallest value in k, z, 1? 1 Let r be (56/26 - 2) + 450/(-390). Let g = 0.05 + 0.35. Which is the fourth biggest value? (a) 1 (b) r (c) -2 (d) g c Let r(v) = 2*v + 6. Let i be r(-9). Let n be 18604/(-78) + i/(-18). Let z = n - -238. What is the smallest value in -1, z, 2? -1 Let i = 1 - 3. Let q = 0.112 + 0.009. Let r = 3.879 + q. What is the second smallest value in i, 0, r? 0 Let v = 1543 + -26229/17. What is the smallest value in 0, 51, v, -1/5? -1/5 Let c = -7.8 - -8. Let h = 274 - 277.
{ "pile_set_name": "DM Mathematics" }
*p + 1. What is m(8)? 17 Let a(y) = -y - 1. What is a(8)? -9 Let f(j) = j**2 + 10*j - 5. Determine f(-6). -29 Let d(s) = -s**2 - 19*s - 17. Calculate d(-18). 1 Let d(r) = r - 10. Determine d(0). -10 Let f(t) = -2*t + 70. Calculate f(6). 58 Let c(l) = -l**3 - 7*l**2 - 2*l + 2. Calculate c(-7). 16 Let u(p) = 9*p. What is u(-1)? -9 Let z(n) = -n**3 + n**2 + 2*n + 8. Determine z(4). -32 Let i(p) = 2*p**2 - 20*p - 21. Calculate i(11). 1 Let d(f) = f - 4. Calculate d(5). 1 Let k(g) = 2*g + 4. Give k(14). 32 Let i(f) = -f**3 + 13*f**2 + 165*f + 59. Calculate i(21). -4 Let a(k) = -18*k - 54. Determine a(-3). 0 Let k(u) = -u**2 + 5*u + 5. Give k(6). -1 Let n(v) = 2*v**2 + 13*v. Calculate n(-10). 70 Let u(z) = -25*z**3 - 2*z**2 - 3*z - 1. What is u(-1)? 25 Let x(n) = n - 9. Determine x(6). -3 Let g(u) = -u**2 - 33*u - 222. What is g(-23)? 8 Let u(p) = 6*p**2 + p + 2. Calculate u(-2). 24 Let q(w) = -w + 1. What is q(10)? -9 Let z(q) = -q**2 + 3*q - 2. Give z(1). 0 Let u(v) = v**2 + 6*v + 1. What is u(-5)? -4 Let c(o) = o**3 + 3*o**2 + 2*o + 4. What is c(-4)? -20 Let y(b) = 18*b**2 - 1. Give y(-1). 17 Let o(d) = d**3 - 4*d**2 + 6*d - 6. Give o(4). 18 Let o(m) = 50*m + 19. Determine o(2). 119 Let d(z) = 9*z**3 - 11*z**2 - 6*z + 5. What is d(2)? 21 Let k(q) = q**3 + 5*q**2 - q + 14. Give k(-4). 34 Let k(f) = -2*f**3 - 3*f**2 + 7*f - 9. What is k(2)? -23 Let d(m) = 2*m**3 + 16*m**2 - 1. Calculate d(-8). -1 Let i(n) = -n**2 + 6*n + 3. What is i(3)? 12 Let f(x) = x**3 + 5*x**2 + 22*x + 47. Give f(-3). -1 Let f(c) = 3*c - 1. Calculate f(-2). -7 Let q(f) = -2*f. Give q(2). -4 Let o(g) = -g**2 + 8*g - 11. What is o(12)? -59 Let l(x) = 43*x**2 - 4*x - 4. What is l(-1)? 43 Let x(g) = -g**3 + 4*g**2 + 4*g + 4. What is x(5)? -1 Let v(z) = -11*z - 28. Give v(-5). 27 Let n(f) = f + 2. What is n(0)? 2 Let k(j) = j - 13. Give k(11). -2 Let v(j) = -j**3 + 8*j**2 + 14*j + 46. Determine v(10). -14 Let w(z) = -2*z**3 - z**2 + 9*z + 20. Determine w(-2). 14 Let s(q) = -3*q + 48. Calculate s(18). -6 Let b(g) = -g**3 + 4*g + 7. Determine b(-2). 7 Let o(j) = j**2 - j - 7. What is o(7)? 35 Let g(h) = -95*h - 4. What is g(-1)? 91 Let w(f) = 2*f - 30. Give w(13). -4 Let w(n) = n**2 - 3*n - 6. Determine w(5). 4 Let t(n) = n**3 + 11*n**2 - 31*n - 51. What is t(-13)? 14 Let b(v) = -v + 27. What is b(14)? 13 Let b(h) = -h + 26. Calculate b(27). -1 Let a(h) = h**3 + 47*h**2 + h + 39. Determine a(-47). -8 Let p(y) = -12*y - 55. Calculate p(-5). 5 Let t(q) = -10*q - 1. Determine t(3). -31 Let m(l) = -2*l + 13. Give m(8). -3 Let t(v) = -v**2 - 14*v - 9. Calculate t(-14). -9 Let o(k) = k**2 - 19*k - 22. Calculate o(19). -22 Let h(o) = -o - 11. Give h(-12). 1 Let x(d) = d**3 - 23*d**2 - 2*d + 51. What is x(23)? 5 Let p(a) = 2*a**2 + 9*a - 18. Determine p(-6). 0 Let f(g) = -g**2 - 25*g - 19. Determine f(-23). 27 Let m(r) = r**3 - r**2 + r + 28. What is m(0)? 28 Let s(n) = -15*n + 74. What is s(7)? -31 Let f(u) = -3*u**2 + 5*u - 7. Give f(2). -9 Let u(o) = 33*o**3 + o**2 - o. Calculate u(1). 33 Let c(i) = i**2 - 18*i - 21. Give c(15). -66 Let c(j) = j**2 - 7*j - 5. What is c(8)? 3 Let a(q) = q**3 - 32*q**2 + 32*q - 38. Calculate a(31). -7 Let k(x) = x**3 - 3*x**2 + 9*x - 46. What is k(4)? 6 Let o(l) = 3*l + 26. Give o(8). 50 Let n(z) = -15*z - 56. Determine n(-4). 4 Let h(r) = r**2 - 7*r + 18. Calculate h(5). 8 Let u(c) = -17*c - 4. Give u(-3). 47 Let j(m) = -2*m**2 - 7*m - 4. Calculate j(-4). -8 Let x(r) = -r**2 - 10*r + 1. What is x(-8)? 17 Let t(z) = z**3 - 10*z**2 - 22*z - 21. Calculate t(12). 3 Let j(i) = i**2 + 5*i - 24. Give j(-8). 0 Let k(b) = -2*b**3 - 4*b**2 + b + 2. Determine k(-3). 17 Let f(n) = n**3 + 3*n**2 + 3*n. Give f(-2). -2 Let v(m) = 5*m + 16. Give v(-3). 1 Let l(q) = 5*q + 5. What is l(3)? 20 Let i(a) = 3*a - 30. Give i(8). -6 Let j(g) = 3*g + 5. Calculate j(2). 11 Let t(y) = y - 17. Calculate t(11). -6 Let m(x) = x**2 - 4*x + 1. Determine m(2). -3 Let t(i) = 4*i + 6. Determine t(-6). -18 Let q(h) = -3*h**2 - 16*h - 17. Calculate q(-2). 3 Let m(s) = -18*s**2 + s - 1. What is m(1)? -18 Let g(q) = -q - 2. Determine g(0). -2 Let w(p) = -p**2 + 17*p - 62. Calculate w(16). -46 Let g(o) = -o**3 - 32*o**2 - 192*o - 1. Give g(-24). -1 Let m(a) = -7*a**3 + 3*a**2 - 4*a + 2. Give m(2). -50 Let m(d) = 2*d**3 - 64*d**2 + 65*d - 87. Give m(31). 6 Let p(c) = -c**3 + c**2 - 2*c - 23. Calculate p(0). -23 Let f(k) = k - 20. What is f(10)? -10 Let f(m) = -2*m + 2. Calculate f(-4). 10 Let d(l) = 36*l**2 + 3*l - 5. Give d(1). 34 Let y(x) = x**3 - 17*x**2 + 18*x - 27. Give y(16). 5 Let l(k) = k**3 + 11*k**2 - 63*k. What is l(4)? -12 Let r(z) = -2*z + 14. Give r(4). 6 Let q(r) = r**3 - 7*r**2 + 3*r + 16. Give q(6). -2 Let w(h) = -13*h**3 + h**2 + 2*h - 3. Give w(2). -99 Let q(i) = -58*i + 2. Calculate q(-2). 118 Let r(f) = 15*f - 72. What is r(5)? 3 Let b(v) = 5*v**2 + 3*v - 7. What is b(-4)? 61 Let d(h) = h**2 - 9*h + 3. Determine d(6). -15 Let u(h) = 11*h - 49. Give u(5). 6 Let y(q) = -q**3 - 6*q**2 + q + 2. Calculate y(-6). -4 Let h(x) = x**3 - 15*x - 20. What is h(0)? -20 Let z(c) = 5*c - 78. What is z(7)? -43 Let i(d) = -d**2 + 21*d + 44. Give i(23). -2 Let l(n) = -5*n + 58. Calculate l(15). -17 Let k(h) = -h**2 - 22*h - 94. Calculate k(-16). 2 Let o(i) = 7*i - 75. Determine o(11). 2 Let k(y) = 4*y**2 - 13*y - 13. Give k(-1). 4 Let x(n) = n**2 + 3*n + 1. Determine x(-6). 19 Let z(r) = -10*r**2 - 2*r + 1. What is z(1)? -11 Let i(m) = 3*m + 8. Give i(-3). -1 Let v(c) = c**2 - 3*c - 31. Determine v(6). -13 Let u(d) = d**2 + 4*d - 138. What is u(11)? 27 Let m(w) = w**2 + 19*w + 25. What is m(-18)? 7 Let h(v) = -v**3 + 3*v**2 - 7*v + 2. Give h(4). -42 Let n(b) = b**2 + 6*b - 59. What is n(5)? -4 Let c(a) = 4*a + 3. What is c(-3)? -9 Let n(h) = -h**3 + 10*h**2 + 7*h + 30. Calculate n(11). -14 Let v(a) = -a**3 - 9*a**2 + 9*a - 8. Calculate v(-9). -89 Let s(g) = -g**3 + 21*g**2 + 5*g - 30. What is s(21)? 75 Let j(x) = -x**3 + 15*x**2 - 35*x - 4. Give j(3). -1 Let l(c) = -c**2 + c + 34. Give l(6). 4 Let r(h) = -3*h**2 + 90*h + 13. What is r(30)? 13 Let w(n) = 13*n**2 - n - 2. What is w(-2)? 52 Let b(s) = s**3 - 5*s**2 - 3*s - 8. Determine b(6). 10 Let i(p) = p**2 + 3*p - 64. What is i(7)? 6 Let v(a) = a**3 + 15*a**2 + 9. Determine v(-15). 9 Let c(d) = -4*d - 9. What is c(-5)? 11 Let i(s) = s - 20. Determine i(22). 2 Let p(q) = 99*q + 88. Calculate p(-1). -11 Let b(k) = -2*k**3 + 19*k**2 + 8*k + 25. Give b(10). 5 Let k(y) = y**2 - 13*y + 14. Calculate k(11). -8 Let v(o) = -o**3 + 2*o**2 - o + 2. Determine v(2). 0 Let c(h) = h + 2. What is c(-7)? -5 Let r(x) = 12*x**3 + 4*x + 5. Determine r(-2). -99 Let o(q) = -2*q**2 + 14*q + 7. What is o(8)? -9 Let a(o) = -o**3 - 4*o**2 - 7*o - 2. What is a(-5)? 58 Let o(d) = d**3 + 7*d**2 + 5. Determine o(-7). 5 Let m(u) = -u**3 + 5. Calculate m(-2). 13 Let y(j) = 34*j - 8. What is y(0)? -8 Let s(l) = -6*l - 39. What is s(4)? -63 Let n(g) = -g**3 - 7*g**2 + 11*g + 21. Determine n(-8). -3 Let h(t) = 2*t**2 - 15*t - 2. Calculate h(9). 25 Let i(q) = 5*q**2 + 3*q - 2. Give i(1). 6 Let l(k) = k**3 - 11*k**2 + 30*k - 14. What is l(7)? 0 Let r(s) = -s**3 + 5*s**2 + s - 2. Give r(7). -93 Let v(o) = -o**3 - 19*o**2 + 20*o. Give v(-20). 0 Let s(d) = 13*d + 57. Determine s(-5). -8 Let v(l) = l**2 + 8*l + 13. Calculate v(-3). -2 Let b(a) = 10*a - 7. Give b(4). 33 Let g(o) = 36*o + 330. Give g(-10). -30 Let s(f) = f**3 - 7*f**2 - 7*f - 7. Give s(8). 1 Let a(p) = 32*p - 94. What is a(3)? 2 Let i(u) = 5*u**2 + 47*u + 88. Calculate i(-7). 4 Let v(f) = 2*f**2 - 18*f - 9. What is v(8)? -25 Let h(l) = l**2 + 12*l - 16. Give h(-11). -27 Let y(q) = -30*q - 251. Give y(-8). -11 Let c(h) = -h**2 + 7*h + 34. Calculate c(10). 4 Let f(y) = -y**3 - 10*y**2 + 13*y + 26. What is f(-11)? 4 Let g(s) = -5*s - 2. Give g(6). -32 Let u(s) = -3*s**2 + 12*s - 7. Calculate u(3). 2 Let f(w) = -w**2 - 3*w + 6. Calculate f(4). -22 Let w(c) = -5*c**2 + c + 14. Determine w(-5). -116 Let h(t) = t**2 + 4*t + 8. Determine h(6). 68 Let h(g) = g**2 - 8*g + 15. What is h(7)? 8 Let n(w) = 2*w**2 - 15*w - 3. Determine n(7). -10 Let z(x) = -x**3 + 8*x**2 + 2. What is z(8)? 2 Let g(t) = 2*t + 7. Determine g(0). 7 Let h(f) = -59*f - 1. Determine h(-1). 58 Let x(j) = -j**3 - j - 6. What is x(0)? -6 Let q(i) = -2*i
{ "pile_set_name": "DM Mathematics" }
-4). Give u*l(m) + z*h(m). 4*m - 1 Let m(i) = 11*i**2 - 4*i - 4. Let d(k) be the second derivative of -k**3 + 54*k + 0 + 17/12*k**4 - 3*k**2. Calculate -5*d(r) + 8*m(r). 3*r**2 - 2*r - 2 Let m(q) = -11*q**2 - 119*q + 15. Let j(o) = -13*o**2 - 123*o + 12. Give -5*j(g) + 4*m(g). 21*g**2 + 139*g Let y(w) = 134*w - 102. Let f(d) = 43*d - 33. What is -13*f(i) + 4*y(i)? -23*i + 21 Let g(q) = -1678*q - 39. Let t(j) = -839*j - 23. Determine 3*g(d) - 5*t(d). -839*d - 2 Let o(j) = -16*j**2 - 2. Let f(p) = -16*p**2 - 1. Let y = 12578 + -12576. Give y*o(r) - 3*f(r). 16*r**2 - 1 Let w(g) = 3*g**3 - g**2 + 2*g - 4. Let u = 146 - -12456. Let h(a) = a**2 + 12607*a**3 - 7 - u*a**3 - 3*a**2 + 3*a. What is 4*h(s) - 7*w(s)? -s**3 - s**2 - 2*s Let y(o) = -3*o**3 + 6*o**2 + 48*o - 4. Let f(u) = 7*u**3 - 10*u**2 - 95*u + 7. Give 3*f(i) + 5*y(i). 6*i**3 - 45*i + 1 Let s(i) = -i**2 + 2*i + 4. Let o be -1*1*1*5. Let c be (13690/60)/(2/(-12)). Let x = -1366 - c. Let z(d) = -d**2 + d + 2. Determine o*z(k) + x*s(k). 2*k**2 + k + 2 Let z(c) = 21*c - 58. Let g(m) = -m**2 + 13*m - 9. Let y be g(12). Let s be z(y). Let t(u) = 4*u + 4. Let q(d) = d + 1. Calculate s*q(l) - t(l). l + 1 Let x = 20718 - 20723. Let n(h) = -63*h**2 + 2*h - 2. Let j(y) = 127*y**2 - 5*y + 5. What is x*n(l) - 2*j(l)? 61*l**2 Let m(s) = 399*s + 8. Let h(w) = -810*w - 16. What is -3*h(o) - 5*m(o)? 435*o + 8 Let a(z) = -13 + 237*z - 4*z**3 - 58*z**2 - 244*z + 65*z**2 - 1. Let p(l) = l**3 - 2*l**2 + 2*l + 5. Calculate -2*a(f) - 7*p(f). f**3 - 7 Let l(j) = 10*j**2 - 7*j + 3. Suppose -2*g - 431 - 453 = 0. Let y = 436 + g. Let w(t) = -11*t**2 + 8*t - 4. Determine y*l(i) - 5*w(i). -5*i**2 + 2*i + 2 Let w(z) = 2*z - 3. Let b be (-1295)/296 - 6/(-16). Let c(d) = d**2 + 3*d - 4. Calculate b*c(s) + 5*w(s). -4*s**2 - 2*s + 1 Let y(d) = -18*d**3 + 39*d + 3034. Let q(t) = 7*t**3 - 15*t - 1214. Determine -13*q(z) - 5*y(z). -z**3 + 612 Let c(d) = 2*d**2 - 3048*d + 27. Let r(v) = -2*v**2 + 3048*v - 23. Determine -6*c(q) - 7*r(q). 2*q**2 - 3048*q - 1 Let u = 3 + 1. Let c be 6/8*-1*u. Let d(s) be the second derivative of 5*s**3/6 + s**2 - 546*s + 10. Let p(h) = -2*h - 1. Calculate c*d(f) - 8*p(f). f + 2 Let w(k) = -2*k**2 + 7. Suppose -4*p = 0, 5*q - 3*p - 630 = -0*p. Let r = 558 - q. Let b(m) = 6*m**2 + 216*m - r*m - 20 + 216*m. What is 6*b(v) + 17*w(v)? 2*v**2 - 1 Let k(g) = -g**3 + 6*g**2 + 1804*g - 23. Let q(f) = 4*f**3 - 20*f**2 - 5410*f + 76. What is 10*k(w) + 3*q(w)? 2*w**3 + 1810*w - 2 Let d(q) = -60*q**2 - 392*q + 22. Let k(j) = 37*j**2 + 261*j - 14. Give -5*d(z) - 8*k(z). 4*z**2 - 128*z + 2 Suppose -12*n + 92 - 20 = 0. Let q(j) = -j**2. Let o(v) = -7*v**2 - 2*v - 1. Calculate n*q(d) - o(d). d**2 + 2*d + 1 Let d(u) = -1768*u**2 - 4*u + 2. Let v(j) = 3389255*j**2 + 7670*j - 3835. Give 11505*d(h) + 6*v(h). -5310*h**2 Let o(x) = -x**3 - 4*x**2 + 9*x + 23. Let k be o(-5). Let s(p) = -8 + 7 + k + 0. Let y(g) = 3*g + 3 - 3 - 2*g. Calculate s(h) + 2*y(h). 2*h + 2 Let f(b) = 9*b**3 - 3*b. Let z(p) = -4*p**3 + p. Let k(m) = m**2 - 7*m - 8. Let s be -3*6*24/(-72). Let i be k(s). Give i*z(l) - 6*f(l). 2*l**3 + 4*l Let r be (12/24)/((-1)/(-42)). Let y = 20 - r. Let b(w) = w. Let n(l) = 9 + 3*l - 8 - 4*l + 0*l. Calculate y*n(i) - 2*b(i). -i - 1 Let i = -11 + 6. Let v(d) = 4*d**3 + 7. Let g(k) be the second derivative of k**5/4 + 4*k**2 - 18953*k. Calculate i*g(p) + 6*v(p). -p**3 + 2 Let d(f) = 851*f**2 - 299*f + 299. Let w = -6320 + 6021. Let n(s) = -17*s**2 + 6*s - 6. Calculate w*n(p) - 6*d(p). -23*p**2 Let r(l) = -10033680*l + 168090. Let y(d) = -2149*d + 36. Determine -6*r(c) + 28015*y(c). -2155*c Let n(t) = -55*t + 58. Let p(w) = -386*w + 394. What is -20*n(v) + 3*p(v)? -58*v + 22 Let g(d) be the third derivative of -d**4/24 - d**3/3 - 15790*d**2. Let s(h) be the first derivative of 17*h + 1 + 9/2*h**2. Calculate -51*g(o) - 6*s(o). -3*o Let a(p) = -18 - p - 28*p**2 - 3*p**2 - 20 + 42 - 15. Let v(j) = 6*j**2 + 2. What is -2*a(z) - 11*v(z)? -4*z**2 + 2*z Let g(n) = 7*n**2 + 606. Let c(i) = -21*i**2 - 1813. Determine 4*c(b) + 11*g(b). -7*b**2 - 586 Let h(v) = 14*v**2 - v - 12. Let l(s) = -30*s**2 + s + 27. Give 7*h(x) + 3*l(x). 8*x**2 - 4*x - 3 Let m(q) = -1. Let z = -6809 - -6808. Let w(t) = 2*t + 6. Determine z*w(d) - 4*m(d). -2*d - 2 Let q(s) = -s + 4*s**2 + 5*s**3 + 6*s + 0*s. Let m(g) = -6*g**3 - 5*g**2 - 6*g. Let b = 46 + -18. Suppose b = -7*i + 14*i. Calculate i*q(z) + 3*m(z). 2*z**3 + z**2 + 2*z Let b(u) = -14*u**3 + 16*u - 16. Let w(y) = -5*y**3 + 5*y - 5. Let h be 4/(-8)*-12*39/9. Suppose 4*t + 0*i = 3*i - h, -13 = 3*t + i. Determine t*b(o) + 16*w(o). -10*o**3 Let t(f) = 11386413*f + 12393. Let z(g) = 5514*g + 6. Determine 2*t(a) - 4131*z(a). -5508*a Let y(o) = -6023*o**3 + 4*o**2 - 44. Let h(s) = -96369*s**3 + 65*s**2 - 715. What is 4*h(v) - 65*y(v)? 6019*v**3 Let o(p) be the second derivative of 7*p**5/20 - p**4/4 + p**3/6 - p**2/2 - 2196*p. Let k(q) = q**3 - q**2 - 1. Determine 3*k(s) - o(s). -4*s**3 - s - 2 Let c(b) be the first derivative of 27*b**4/4 + 2*b**3/3 - 2*b**2 + 4*b + 4064. Let p(h) = -54*h**3 - 4*h**2 + 9*h - 9. What is -9*c(n) - 4*p(n)? -27*n**3 - 2*n**2 Suppose 17*r = 21*r + 3*z + 489, 0 = -2*r + 4*z - 250. Let q = -118 - r. Let w(f) = -4*f. Let b(m) = 3*m. Calculate q*w(t) + 8*b(t). 4*t Let d(y) = -5*y - 8*y - 11*y + 25*y. Let h(i) = 3*i. Let x(p) = -p. Let z(l) = -2*h(l) - 7*x(l). Calculate d(u) + 2*z(u). 3*u Let q(l) = -7*l**3 - 6*l**2 + 29*l + 4. Let o(y) = -y**3 - 2*y**2 + y + 2. Calculate -3*o(p) + q(p). -4*p**3 + 26*p - 2 Let q(t) = -18*t + 50. Let v(g) = -9*g + 18. Calculate 2*q(b) - 5*v(b). 9*b + 10 Let p(o) = -11*o + 9. Let a(m) = 61 + 8 - 50 - 23*m. Determine -6*a(b) + 13*p(b). -5*b + 3 Let c(p) = 387*p + 358. Let y(z) = -60. Calculate c(b) + 6*y(b). 387*b - 2 Suppose -6 + 13 = m - 4*z, 3*z - 3 = 0. Let a(s) = s**2 - 11*s - 11. Let t be -1 - ((-2)/(-7) + 23/(-7)). Let r(c) = 2*c + 2. Give m*r(b) + t*a(b). 2*b**2 Let b(a) = -27*a - 98. Let z(k) = 18. Calculate -b(i) - 4*z(i). 27*i + 26 Let m(o) = -13*o - 4. Let j(x) = 9*x + 3. Suppose -2*n - 102 = 2*k, 2*k + 102 = 5*n - n. Let r be (-102)/(-14) + -7 - k/(-7). Determine r*j(p) - 5*m(p). 2*p - 1 Let n be (11898/8)/3 - (-102)/(-136). Let f = 496 - n. Let r(p) = 5*p**2 - 3*p - 5. Let g(o) = -o**3 - o**2 + o + 1. Determine f*r(q) + 5*g(q). -5*q**3 + 2*q Let l(f) = 3*f**3 + f**2 + 2*f + 2. Let o = 14 + -15. Let n be l(o). Let q = 41 - 40. Let m(t) = 3*t + 1. Let y(v) = v. Calculate n*y(k) + q*m(k). k + 1 Let v(d) be the first derivative of 76 + 3*d - 2*d**3 + 0*d**2 + 1/4*d**4. Let s = -5 + 8. Let p(x) = x**3 - 7*x**2 + 4. Give s*p(m) - 4*v(m). -m**3 + 3*m**2 Let r(a) = -63*a - 18. Let q(j) = -126*j - 40. Give -3*q(v) + 7*r(v). -63*v - 6 Let h(w) = w**2 + 14*w + 125. Let z(c) = -2*c**2 - 30*c - 250. Calculate -13*h(o) - 6*z(o). -o**2 - 2*o - 125 Let p(s) = 9*s + 727. Let r(d) = -7*d - 719. Give 4*p(m) + 5*r(m). m - 687 Let m(j) = -j**2 + j + 14. Let p be m(-3). Suppose l - p*l = -15. Let x(w) = -3*w - 5. Let h(c) = 21*c + 36. Calculate l*x(s) + 2*h(s). -3*s - 3 Let d = -879 - -885. Suppose 3*y - q - 17 = 0, 15 = 3*y - 5*q + 2*q. Let w(p) = -p**2 - p. Let l(x) = 2*x**2 + x. Give d*w(s) + y*l(s). 6*s**2 Let p(t) = -78*t**3 + 75*t**2 + 8*t - 13. Let i(z) = -26*z**3 + 25*z**2 + 3*z - 5. Calculate -8*i(s) + 3*p(s). -26*s**3 + 25*s**2 + 1 Let c(a) = 6*a**2 - 7*a - 7. Let y = -1071 + 1078. Let f(n) = -6*n**2 + 4*n + 6 - 4 + 4 + 2*n. Determine y*f(o) + 6*c(o). -6*o**2 Let q(f) be the first derivative of -2*f**2 - 4*f - 12493. Let u(z) = 1. Calculate 2*q(p) + 2*u(p). -8*p - 6 Let r(q) = 10*q - 2. Let y(d) = -20*d + 4. Let n(p) = -p**3 - 17*p**2 - 68*p - 91. Let g be n(-12). Determine g*r(l) + 2*y(l). 10*l - 2 Let k be 1 + 0/(-1) - -11. Let d(h) = -5*h + 683 - 1315 - 9*h + 634. Let l(j) = -j. What is k*l(p) - d(p)? 2*p - 2 Let o be ((-5)/2)/(0 - (-3)/18). Let n be (-9)/((-135)/24) + (-6)/o. Let i(r) = n + 4 - 5. Let t(w) = w + 4. Give 6*i(f) - t(f). -f + 2 Let r(n) = 4*n**2 - 4*n - 16. Let d(s) = -s + 2. Determine -12*d(w) - r(w). -4*w**2 + 16*w - 8 Let g = -225 - -256. Let c(y) = 17*y - g*y - 15*y + 8. Let s(z) = 19*z - 5. What is 5*c(w) + 8*s(w)? 7*w Let m(k) = -2138*k**3 + 4*k**2 + 20*k - 4. Let s(z) = -2139*z**3 + 5*z**2 + 25*z - 5. Give -5*m(
{ "pile_set_name": "DM Mathematics" }
240. Let v be (3/(-1))/1 - c. Let j be 12/(-7)*(1 - -6). Which is greater: v or j? j Let x(s) = -2*s**2 - 13*s - 39. Let b be x(-13). Is b not equal to -208? False Let j be 394/(-94)*(-11)/(-66). Let o = 3/94 + j. Are o and -7 non-equal? True Let y(r) = 3*r + 10. Let n(x) = x + 3. Let j(h) = 7*n(h) - 2*y(h). Let m be j(-2). Is m smaller than -2/19? True Let o be -4*(-10)/(-40) - (-25 + 2). Is 20 at most as big as o? True Let l = -308 + 2157/7. Which is smaller: -1/2 or l? -1/2 Suppose -16*i + 20*i - 2*t - 506 = 0, 5*t = 25. Which is smaller: i or 134? i Let l(q) = -q**3 - 16*q**2 + 2*q + 31. Let p be l(-16). Is -2 less than p? True Let a be (5/((-5)/(-5)))/(2 + -1). Suppose -a*o - 50 = -0*o. Do -9 and o have different values? True Suppose -2*g - 5*c = -5, -1 + 3 = 5*g + 2*c. Let z be 49 + (g - (5 + -2)). Is z less than or equal to 46? True Suppose -5*j = 3*m - 20, 2*j - 4*m + 15 = -3. Let d(l) = l**2 + 9*l + 1. Let y be d(-9). Let u be 1*(-2 + y)*j. Is 1/12 <= u? False Let f = 0.147 + -0.247. Let a(b) = -3*b - 5 - b**3 - b**3 + 3*b**3 - 8*b**2. Let z be a(8). Is f < z? False Let d = 1.23 + -1.4. Let p = -0.03 + d. Let b = p - -1.2. Which is bigger: b or 0.1? b Let v = 0.968 - 1.068. Is 1/47 less than or equal to v? False Let n = 68 + -41. Let a = -23 + n. Is 6 not equal to a? True Let m = 38 - 32.6. Let z = -5.2 + m. Is z smaller than -2/23? False Let t be ((-10)/(-30) - (-508)/6)*-2. Does -170 = t? True Let b(y) = y**3 + 12*y**2 + 5. Suppose -4*w - 3*h = 48, -3*h - 2*h = 0. Let a be b(w). Suppose -o + 1 + 4 = -2*s, 0 = 3*o + 2*s - 23. Is a less than o? True Let t be 0 - (-7)/((-5047)/210). Is 1 equal to t? False Let w be ((-4)/3)/(4/(-18)). Suppose 0 = -f + a + 8, 3*f - w*f + 2*a = -20. Let b be (24/(-18) - -2)/((-4)/(-15)). Which is greater: f or b? f Let d be 2016/(-133) + 0 + (-4)/(-2). Which is greater: d or -12? -12 Let h = 0.033 - -32.967. Let r = -1350 + 1350. Is r less than h? True Suppose -17 = -5*c + 8. Suppose -2*b + o + 10 = 0, c = b + 5*o - 11. Which is smaller: b or 7? b Let h = 86 - 74. Suppose r - h*r = 11. Is r less than 0.33? True Let x be 1 - 27/21 - (-18)/14. Let y be 4 + -5 - 0/(x + -2). Which is greater: y or -1/10? -1/10 Let k = -549 + 835. Which is smaller: k or -1? -1 Let m = 803 - 775. Which is smaller: m or 30? m Let m(n) = 12*n + 3. Let y be m(6). Let x = y - 54. Suppose 4*d + 4*p - 7 = x, 0 = -d + 3*p - 13. Which is greater: 1 or d? d Suppose 28 = 5*t - 3*t. Let s = 4 - t. Let q(l) = -2*l - 15. Let r be q(s). Which is bigger: r or 26/7? r Suppose -5*b = 2*g + 348, 2*g - 3*g + 3*b - 196 = 0. Let x be (-1)/((-2)/g*4). Which is smaller: -24 or x? -24 Let r = -39 + 41. Is r smaller than 1? False Let z = 17.22 + -0.22. Let t = -22 + z. Which is smaller: t or -2/9? t Let s be (-4)/2 - (-18)/9. Suppose 4*t + 5*l + 5 = 1, s = -t - 2*l - 1. Which is smaller: t or 3/31? t Suppose -10 = 5*x, -7 = 2*s + 4*x + 5. Let b(v) = -v - 3. Let d be b(-2). Let a be d/4 + 23/(-4). Is s at least a? True Let g be 88/(-14) - 20/(-70). Let c be (-10)/9*(102/15 - 2). Which is smaller: c or g? g Suppose 0 = -5*c + 3*b + 8, -3*c - b + 5 = 3. Suppose d - y + 7 = y, 0 = d - 4*y + 11. Is c greater than or equal to d? True Let n = 2.08 - 0.28. Let i = n + 19.2. Let h = i - 22. Which is smaller: h or 0.14? h Let c = -162 - -26. Let x be c/(-2 + 4) + -3. Let y = -495/7 - x. Is -1 != y? True Let g be ((-681)/(6/2))/(2 + 0). Let s = -6577/58 - g. Which is bigger: 0 or s? s Suppose -2*o = -4*x - 4*o, 0 = 4*o + 16. Suppose 10 = -2*u + 5*u + 2*b, 4*b = -5*u + 16. Suppose u*v + 0 - 4 = 0. Which is smaller: v or x? v Let m = 211 - 130. Which is smaller: m or 82? m Suppose 5*o + 3755 = 5*t, 0*o = 3*o - 2*t + 2252. Is o less than -750? False Let f = -2.9892 + -0.0108. Is f less than or equal to 7? True Let d be (-72 - -4)*(-6)/(-4). Let q = 411/4 + d. Which is bigger: -2 or q? q Suppose -17 + 53 = 6*a. Let c(x) be the second derivative of x**4/12 - 5*x**3/6 - 7*x**2/2 - 2*x. Let k be c(a). Which is greater: k or -2? k Let z be ((-91)/(-156))/(2/16). Is 6 > z? True Suppose 39*r - 49*r - 10 = 0. Is r less than 2/1033? True Let m = -319 + 302. Does m = -5? False Suppose 20 = -l + 5*l. Suppose -5*g = -20, -l*p + g = 5*g - 31. Suppose 3*a + 4*f = 9, -p*a - 4*f = -f - 6. Is a greater than or equal to -2? True Suppose -1560 = 9*p - 39. Is p less than or equal to -170? False Let p = 215 - 216. Which is greater: 1/397 or p? 1/397 Suppose 59*c - 57*c = 0. Which is smaller: c or -4/473? -4/473 Let g = 63 - -5. Let n = -206/3 + g. Let j(s) = s + 2. Let a be j(-4). Which is smaller: a or n? a Suppose 3*x + 10 + 74 = 0. Is -27 greater than x? True Let k(h) = -9*h + 73. Let y be k(9). Let f = 8 + -5. Suppose -f*g + g - 6 = 0. Is y less than or equal to g? True Let d be 3/27 + ((-310)/(-225))/2. Is d >= -8? True Suppose 3*b - 4*n = 56, -4*b - n + 43 = -0*b. Let k(f) = -15*f - 231. Let j be k(-16). Which is smaller: j or b? j Let z = 14 - 23. Let i(m) = m + 14. Let a be i(z). Do a and 18/5 have the same value? False Let j be -1 - (-2)/(-4)*0. Let y be (5/2*2/(-10))/(1995/(-630)). Is j at least y? False Let v = -5 + 5. Let x be (-1*4)/((-12)/6). Suppose 4*c = -c + 4*m - 7, -4*c + 2*m = x. Is v less than c? True Let u(j) be the second derivative of j**4/12 + 2*j**3 + 23*j**2/2 - 2*j. Let h be u(-10). Let a = -39/8 - -157/24. Is h > a? True Let b be (-2)/12 - (-2)/4. Is b equal to -4/37? False Let b be (-56)/(-14) - (-6296)/7. Let r = -908 + b. Which is smaller: -6 or r? -6 Suppose -140 = 77*q - 73*q. Is q at most as big as -28? True Suppose 3*u + 4*u - 462 = 0. Let w be 9/u*(8 + -7). Which is greater: -1 or w? w Let n be 753/18 - 3/(-18). Suppose -5*a = 5*f - 65, -2*a - a = 4*f - n. Suppose h + 3*m = 6, -m + a = -4*h - 5. Which is smaller: -13/5 or h? h Let j be (3/(72/92) - 4)*-418. Are j and 69 equal? False Let m(v) = 6*v + 97. Let w be m(-16). Which is greater: 1/221 or w? w Let w be ((-2)/(-3))/((-2)/(-36)). Suppose -4 - w = -2*d. Let h be (-9)/(-60) + 2/d. Is h less than or equal to -1? False Suppose -12 = -32*t + 52. Is 19 <= t? False Let q be ((-12)/13)/3 + 0. Let b = -24 - -11. Let k = 13 + b. Which is smaller: k or q? q Let h(f) = f**3 - 14*f**2 - 35*f - 3. Let t be h(16). Which is greater: -52 or t? t Let v = 24 + -21. Suppose 2*l + 5*m - 65 = 0, 0 = l - 2*l + v*m + 5. Let j = l + -283/14. Is 0 smaller than j? False Let j = -1.48 - -2. Let m = 0.42 - j. Let z = -0.8 + -0.2. Is z at most m? True Let p be (-13236)/252 + (-4)/(-6). Let d be (-55 - (-1)/1) + 2. Let b = d - p. Which is bigger: b or -1? b Let a = -220/9 - -208/9. Is a < -6? False Let h = 7138/15 + -476. Is 7 at most as big as h? False Let j = -0.2 - -0.3. Let z = 171 - 150. Is j not equal to z? True Suppose 0*l + l + 275 = 0. Let j be (11/(l/15))/((-102)/4). Which is smaller: 0 or j? 0 Suppose -3 = -u + 2, -7 = 2*w - 3*u. Let k be w/(-52)*-245 - 2/(-13). Is 19 >= k? True Let t = 1/76224 - -45848731/381120. Let o = t + -120. Is o at least 1? False Let p(t) = 29*t - 514. Let n be p(19). Is 41 != n? True Let a be 1/52*(-4)/(-270)*-6. Is 0 less than a? False Let l = -315 - -311. Let v = 0.4 - 0.3. Let o = v - 0.2. Is l greater than o? False Let c(k) = -k + 6. Let q be c(8). Let o be q/(7/(-3) - -3). Let p be (1/(-14))/(o/2). Is p at most as big as 0? False Let b(x) = -2*x**2 + 8*x - 84. Let s be b(0). Is s less than or equal to 1? True Let w = -219.54 + 222. Let j = -0.54 - w. Is j greater than or equal to 2? False Let n = -1417 - -1693. Is -2/5 at most n? True Let l(d) = -10*d + d**3 - 7*d**2 - 7*d**2 + 4*d**2 - 8. Let x be l(11). Which is greater: -4 or x? x Let s = -69.3 - -69.2. Which is smaller: s or 4? s Let o be -5 + 5 - (-4)/1. Suppose 3*k = -5*v - 42 - o, -5*k - 2*v - 64 = 0. Which is greater: k or -10? -10 Suppose -5*x + 100 = -5*l, 0*x = -2*l - x - 43. Suppose -60 = 3*f - d, -3*f - 48*d + 53*d - 48 = 0. Is f > l? False Let s = 2/149 + -157/596. Are s and -41 unequal? True Let c be 3/(-2)*9/(108/(-40)). Suppose c*t + 3 + 22 = 0. Which is smaller: 5 or t? t Let d = 381 + -381. Is -3/8 != d? True Suppose 4551*l + 35 = 4544*l. Which is bigger: -19/5 or l? -19/5 Let j = 36 + -37. Let s(m) = m**2 - 9*m + 15. Let q be s(7). Which is smaller: q or j? j Let i = -24.6 - -0.6. Let x = -4 - i. Is 0.1 less
{ "pile_set_name": "DM Mathematics" }
-0.1328 -0.027 * -0.3 0.0081 What is the product of -0.3 and -415? 124.5 Multiply -0.18 and 0.75. -0.135 What is the product of 30 and -2? -60 -0.1 times -25 2.5 Product of 0.04 and -20. -0.8 Product of 0.4 and 4.262. 1.7048 30.01 * 1 30.01 What is -1 times -123? 123 Product of 0.5 and -205. -102.5 Calculate 434*-0.3. -130.2 Product of 1169 and 4. 4676 Calculate -22*27. -594 -4 times 0.063 -0.252 What is -5 times -0.5? 2.5 What is the product of -17 and -3? 51 3 times 16 48 Calculate -3.098*-4. 12.392 What is 0.038 times 0.2? 0.0076 Work out -0.1 * 273. -27.3 -5 times -181 905 0.1 times -16.1 -1.61 What is the product of 56 and -2.1? -117.6 0.2 times 2.5 0.5 Work out -0.2 * 122. -24.4 -59*0 0 What is 1 times 54? 54 3.318 * 0.1 0.3318 Calculate -32*-0.3. 9.6 What is the product of 892 and -0.3? -267.6 What is the product of 68 and -0.06? -4.08 50*-187 -9350 4 times -4.377 -17.508 Work out 0.181 * 5. 0.905 Work out 0.1 * -23.4. -2.34 -76*101 -7676 1 * 7.18 7.18 What is the product of -5 and 43.6? -218 -0.3 * -58 17.4 Work out 0.1 * -26. -2.6 -2*-1195 2390 Work out -6 * 110. -660 -0.03*0.1 -0.003 -4 times 0.004 -0.016 What is 8 times 0.0593? 0.4744 Work out 3 * 0.049. 0.147 Product of 17 and 54. 918 0.329 * 0.3 0.0987 Work out 0.533 * -0.22. -0.11726 What is 0 times -1534? 0 0.03 * 22 0.66 Multiply -0.13 and -11. 1.43 180.2 * 3 540.6 What is -0.4 times 69? -27.6 -4 times 404 -1616 Multiply 231 and -4. -924 Multiply -686 and -0.1. 68.6 Product of -2.82 and 0. 0 5*0.034 0.17 Product of -6 and -2095. 12570 Multiply -0.13 and -0.141. 0.01833 2.53 * -1 -2.53 41*0.83 34.03 -4*184 -736 Product of -4 and 749. -2996 Calculate -51*-58. 2958 Multiply -1179 and -19. 22401 Work out 0.3 * 20.3. 6.09 9*82 738 Multiply -12054 and 5. -60270 What is the product of 0.2 and -0.057? -0.0114 Multiply 1.4 and -0.2. -0.28 What is the product of 0.1153 and -3? -0.3459 2*-38 -76 Calculate -0.0098*1. -0.0098 Calculate -10.375*-5. 51.875 Work out 4 * -7.7. -30.8 -36 * -21 756 Product of 59 and -2. -118 Multiply 0.03 and 425. 12.75 -2018 times -0.4 807.2 What is the product of 0.8 and -5? -4 What is the product of 314 and -0.2? -62.8 What is the product of 0.05835 and 0.2? 0.01167 Work out 0.04 * 502. 20.08 11*0.1 1.1 -0.2*0 0 Multiply 59.7 and -14. -835.8 -1976 times -5 9880 Calculate -31*-0.051. 1.581 -0.3*-0.0754 0.02262 Product of -0.93 and -56. 52.08 What is the product of 0.02 and -0.008? -0.00016 Multiply -494 and 2. -988 -74*10 -740 Work out 0.479 * -3. -1.437 Multiply 8.8 and 6. 52.8 0.11 times -7.07 -0.7777 Multiply 5 and 4. 20 0.93 * 3 2.79 Calculate -0.023*0.14. -0.00322 -0.4 times -105 42 Calculate 0.3*-1660. -498 What is the product of 3 and 0.037? 0.111 What is the product of 15 and -10? -150 9 times -38 -342 Multiply 3 and 22.82. 68.46 Work out -2 * -307. 614 Work out 1 * -34.6. -34.6 Multiply 1.4 and 0.16. 0.224 -0.3 * -5.6 1.68 Multiply -10.2 and 58. -591.6 -0.2 times -0.544 0.1088 Multiply -0.05491 and -0.4. 0.021964 Work out 6.807 * 0. 0 What is the product of -0.03 and 523? -15.69 What is 0 times -528.4? 0 Multiply -2 and -48.7. 97.4 Calculate 1.6*-4. -6.4 Product of 1 and -41.8. -41.8 Multiply -0.4 and 23.7. -9.48 What is the product of -0.01 and 34? -0.34 305.8*5 1529 What is -0.1 times 5875? -587.5 What is the product of 3 and 3.14? 9.42 Work out 9.2 * 155. 1426 What is 6 times 120? 720 What is the product of 0.1168 and 0.1? 0.01168 Work out -1 * -69. 69 14*-0.056 -0.784 Multiply 820 and -0.1. -82 -299 * 0.013 -3.887 -4.744*-2 9.488 Product of -2.28 and -8. 18.24 0.2 times -0.99 -0.198 Product of 0.2 and -0.0415. -0.0083 Calculate -0.24*0.009. -0.00216 Calculate 0*3.19. 0 Multiply 32 and -12. -384 -3 * -41 123 What is the product of -0.615 and 0? 0 What is 1297 times -0.02? -25.94 0.5*-0.036 -0.018 14 times 0.3 4.2 7.29 * 5 36.45 Work out -1 * 0.37. -0.37 Multiply -731 and 2. -1462 -0.06 * 712 -42.72 Product of 0.02 and -65. -1.3 What is the product of 0.4 and -0.899? -0.3596 Work out 0.4 * -354. -141.6 What is the product of 0.2 and 78? 15.6 Product of 48 and 1. 48 -0.2 * 55 -11 What is the product of -23 and 16? -368 Work out -1 * -2.76. 2.76 Calculate -2*0.0732. -0.1464 What is -16 times 0.16? -2.56 32 * 6 192 Work out 0.07 * -56.2. -3.934 Work out 3 * 5556. 16668 Product of -0.5 and -0.0282. 0.0141 1*0.242 0.242 265.6 * 0.2 53.12 3.3 times 0.7 2.31 What is -33 times 0.5? -16.5 What is -1.16 times 0.4? -0.464 -5 * -6.5 32.5 What is 0.5 times -2034? -1017 -39 * 0.082 -3.198 Work out -0.7 * 0.0443. -0.03101 Product of 0.1 and -175. -17.5 Product of 647 and -2. -1294 0.05 * 21 1.05 742.5 * 0.1 74.25 Multiply -265 and 5. -1325 Multiply 1.34 and 75. 100.5 Multiply -0.1 and 11.7. -1.17 Calculate 0.002*-0.6. -0.0012 Calculate -3*-1787. 5361 Product of -630 and 13. -8190 Calculate 49*10. 490 Multiply 62800 and 5. 314000 113 times 0.5 56.5 2.009*-3 -6.027 Product of 93 and 0.4. 37.2 Multiply 3 and -712. -2136 Product of -0.33 and 22.6. -7.458 What is the product of 25 and 5? 125 Multiply 1.9 and 1834. 3484.6 5 * 0.012 0.06 Multiply -0.12 and 0.3. -0.036 Calculate 3*-0.2. -0.6 Multiply -388 and -0.4. 155.2 Multiply 79 and 0.4. 31.6 Work out 19 * 62. 1178 What is 45 times 0.5? 22.5 Multiply 0.5 and 9.5. 4.75 Calculate -2.48*0.6. -1.488 What is 456 times 3? 1368 Multiply 0.2 and -1126. -225.2 Product of -76 and -3. 228 Calculate 18*0.08. 1.44 Calculate 3902*-0.03. -117.06 Calculate 0.1247*0.1. 0.01247 -0.3*256 -76.8 -0.6*-1.103 0.6618 Multiply -173 and -7. 1211 What is 4 times -0.12? -0.48 Calculate 53.5*-2. -107 What is the product of 5.8 and -3? -17.4 0.98*5 4.9 What is 293 times -0.5? -146.5 Product of 99 and 0.1. 9.9 0.957*3 2.871 0.3*0.003 0.0009 -6 times -256 1536 What is 0.4 times 115.2? 46.08 0.6 * 656 393.6 What is 0.3 times 0.6622? 0.19866 Calculate -139*1. -139 What is -4 times 0.2441? -0.9764 Work out -1.13 * -3. 3.39 What is 0.7 times -0.18? -0.126 0.4 * 0.5 0.2 What is the product of 1.2 and -0.16? -0.192 Multiply 5 and -88. -440 -2 times 46.32 -92.64 0.1 * -0.02 -0.002 What is 0.004 times -0.01? -0.00004 Calculate -7*1. -7 23.3 times 2 46.6 -0.14 times 0.08 -0.0112 Product of -71 and -0.2. 14.2 35 * 7 245 What is 3 times -180? -540 14.848 times 0 0 -0.2 * -228.2 45.64 What is -0.8 times -0.13? 0.104 What is -77 times -0.3? 23.1 What is -0.28 times 5? -1.4 -214 * -0.5 107 Calculate -0.4*107. -42.8 Calculate 0.0893*0.3. 0.02679 Work out 0.082 * 0.5. 0.041 -0.4*0.37 -0.148 Work out 174 * 4. 696 Calculate 8*0.355. 2.84 Calculate 5*-46.85. -234.25 Product of 0.9077 and 1. 0.9077 What is the product of -2.5 and -7.3? 18.25 Calculate -246*1.6. -393.6 Calculate 0.1*-2228. -222.8 -46 * 0.4 -18.4 Calculate 6.5*-0.1. -0.65 565 * -0.5 -282.5 Product of -885 and -0.2. 177 Calculate 169.54*0.2. 33.908 0.15 * 30 4.5 What is 8 times -1.61? -12.88 0 * 45.53 0 Work out -5 * 315. -1575 Calculate 0.16*-0.1. -0.016 What is the product of -0.1 and 3? -0.3 5 times -0.1195 -0.5975 Multiply -0.41 and -5. 2.05 9.3*5 46.5 Work out 4 * -38. -152 Work out -2 * 104. -208 Multiply 3 and -1. -3 What is -256 times -3? 768 Product of 6 and 1.02. 6.12 38 times 89 3382 Work out 0.3 * -115. -34.5 -398 * -1.4 557.2 What is -12.4 times 0.4? -4.96 -0.03 * 0.1 -0.003 Product of -0.015 and -0.04. 0.0006 What is -3 times 79? -237 Calculate -0.02*57. -1.14 -0.2317*0.5 -0.11585 -223*0.5 -111.5 Work out -123 * -0.011. 1.353 Work out -130 * 11.4. -1482 37807*0.1 3780.7 What is -0.5 times -126? 63 What is the product of -1 and 20? -20 -1.17 times 0.34 -0.3978 -1.5 times -1 1.5 -4 times 24 -96 Calculate 261*-0.4. -104.4 What is the product of -2.4 and -0.6? 1.44 0.5 * 19 9.5 Product of -3 and 0.62. -1.86 What is -0.57 times -110? 62.7 0.1 * -0.0427 -0.00427 What is the product of -0.3 and -98? 29.4 2 * 57 114 What is 3 times -0.1695? -0.5085 0.34327 * 0.1 0.034327 What is the product of 2703 and -4? -10812 Calculate -0.1*92. -9.2 Product of 1071 and 7. 7497 Product of 2 and -0.02. -0.04 Calculate -0.3*256. -76.8 Work out 1 * 135.8. 135.8 -124*13.3 -1649.2 Product of 34 and 58. 1972 What is the product of 710 and 0.1? 71 Work out 0.2 * 38.4. 7.68 Multiply 219 and -4. -876 -0.4*4699 -1879.6 -3 times 0.032 -0.096 13*47 611 130.9 times -0.2 -26.18 Work out 59 * -43. -2537 Calculate -7*-69. 4
{ "pile_set_name": "DM Mathematics" }
81 = 0 for w. 43 Solve 43*u + 1061 = 78*u - 78*u - 917 for u. -46 Solve -323*b + 20698 = -27*b + 10528 - 14102 for b. 82 Solve -1619*a + 1340*a + 232440 = -1913*a - 1942*a for a. -65 Solve 771 = 73*x + 1090 + 2352 + 1344 for x. -55 Solve 29176*p - 1193 = -29095*p + 58139*p + 1975 for p. 24 Solve 29102*x - 28967*x = -4590 for x. -34 Solve -1388453 = 12669*u + 157165 for u. -122 Solve 48499192 - 48534532 = -372*z for z. 95 Solve 9186*d + 68611 = 867793 for d. 87 Solve -50*m + 93 = 134 + 159 for m. -4 Solve -107*q - 67*q + 230*q = 103*q - 2961 for q. 63 Solve -294*i = -607*i + 281*i + 1312 for i. 41 Solve 717*t - 725793 = -675603 for t. 70 Solve -1398*c - 42120 = 1526*c + 784*c - 468*c for c. -13 Solve -1930*l + 82737 = 6022*l + 247142 + 225243 for l. -49 Solve 360 = -701*u - 34203 - 25723 for u. -86 Solve -44*a = 25*a - 190*a + 1031 + 300 for a. 11 Solve -468*v = 4323 + 2276 + 11995 + 7614 for v. -56 Solve -1470*s + 95590 + 77006 - 22447 = 1363*s for s. 53 Solve -68*d - 715 = -92*d - 31*d for d. 13 Solve -1863*x = 44002 + 21203 for x. -35 Solve -337*u + 55*u - 71*u - 33892 = 105*u for u. -74 Solve 1173332 = 130*y + 1187242 for y. -107 Solve -15*l = -35*l - 29*l + 48*l + 13 for l. 13 Solve -84*i - 2233*i + 128*i - 126852 = 1903*i for i. -31 Solve 18*z - 75*z + 6156 = 20*z - z for z. 81 Solve -65839 + 65299 = 20*q for q. -27 Solve -6129 = 1188*m - 436 + 11173 + 10458 for m. -23 Solve 13251*a - 15600*a = 40573*a + 5665704 for a. -132 Solve -325*f = -206*f + 48 + 325 + 579 for f. -8 Solve -21*x + 98*x = -517 + 2442 for x. 25 Solve 0 = 31*j - 1969 + 1287 for j. 22 Solve 0 = 108996*k - 109104*k + 5400 for k. 50 Solve -166*w - 45*w + 2698 = -140*w for w. 38 Solve 74*h - 84*h + 194*h - 2827 = 669 for h. 19 Solve 603*t - 308564 = -272987 for t. 59 Solve -761*a + 371 = -1644*a + 830*a for a. -7 Solve 135*j - 18 = -111*j + 1458 for j. 6 Solve -6746 - 6372 = -489*x + 26002 for x. 80 Solve 172467*u + 4760 = 172297*u for u. -28 Solve -16*i - 45895 = -46215 for i. 20 Solve 88*r - 736 + 330 = -122*r + 644 for r. 5 Solve -1051*x + 396*x - 4352 + 11557 = 0 for x. 11 Solve -1180*a + 14403 = 3029 - 7465 - 1221 for a. 17 Solve -64459 + 461982 + 134329 = 6486*r for r. 82 Solve 4975 - 21778 - 13122 = -483*m - 42*m for m. 57 Solve 104*t + 81*t = -925 for t. -5 Solve -13947*o = -13196*o + 66839 for o. -89 Solve 42983 = 566*f + 32229 for f. 19 Solve -47*j - 1855 = 1341 for j. -68 Solve -8119*c + 1225 = -8154*c for c. -35 Solve -11492*l + 285203 + 121045 = -237304 for l. 56 Solve 0 = 5547*c - 5447*c + 500 for c. -5 Solve 673*p = -1069*p - 11266 - 25316 for p. -21 Solve -1133887 + 1132032 = 35*q for q. -53 Solve -306457*x = -306616*x - 21465 for x. -135 Solve 31557 - 7350 = 732*c - 114*c - 10401 for c. 56 Solve 68*f - 53*f + 500*f + 14420 = 0 for f. -28 Solve -1036 + 1245 = 284*p - 1130*p - 1483 for p. -2 Solve 693*g - 753374 = -806735 for g. -77 Solve 8560 = -379*b - 18480 + 7332 for b. -52 Solve -65407 = -1221*q - 16567 for q. 40 Solve 62102*i - 992 + 2455 = 62179*i for i. 19 Solve 727*r + r = -239*r - 593*r - 39000 for r. -25 Solve 0 = 32312*v - 32088*v - 2912 for v. 13 Solve 0 = -121*n + 362*n + 6989 for n. -29 Solve -1667 + 9823 = 105*k - 3079 for k. 107 Solve -1496*t + 3605 = 1071*t - 1529 for t. 2 Solve 776*j + 26063 = -15454 + 10477 for j. -40 Solve -22460 = 733*i - 100*i + 12355 for i. -55 Solve -179*o = 10611 - 17306 + 8843 for o. -12 Solve 1492*o + 2176 = -1403*o + 83236 for o. 28 Solve -1591*v - 153792 = 2644*v + 2077*v - 1506*v for v. -32 Solve 20*y + 84*y = 4*y - 2230 - 670 for y. -29 Solve 176*u = 2*u - 57*u + 13*u + 11336 for u. 52 Solve -635*i + 27839 = -1314*i for i. -41 Solve 0 = -2037*t + 50942 + 11230 + 19308 for t. 40 Solve 297 = -38*c - 1318 + 133 for c. -39 Solve 874*i - 504 + 95 - 1307 = 32 for i. 2 Solve 0 = -6003*t - 73758 + 343893 for t. 45 Solve 0 = -931*f + 776*f + 1544 + 6051 for f. 49 Solve -2037*p + 270*p - 113633 + 18137 = 52932 for p. -84 Solve -1643*f + 1285*f = 588 + 1202 for f. -5 Solve 23*o - 551 - 293 = 75*o - 220 for o. -12 Solve 146*u + 17432 = 15826 for u. -11 Solve -1434*g + 25515 = 2077 - 22450 for g. 32 Solve 170*k - 32*k - 156*k = -54 for k. 3 Solve 42*h + 41*h + 126*h = -12749 for h. -61 Solve 651*b = -422*b + 364*b + 56011 for b. 79 Solve -220*v + 6540 = 4*v + 185*v + 136*v for v. 12 Solve 413*g = -356*g + 218*g - 22591 for g. -41 Solve -1159*m = 1892*m + 106785 for m. -35 Solve 643 = -51*k - 530 + 153 for k. -20 Solve -180*n - 61290 = 2560*n - 203770 for n. 52 Solve -673*s - 90064 = 4093*s + 863*s for s. -16 Solve -1730*q = -2085*q + 9230 for q. 26 Solve -172*i - 1350 - 1488 = -1118 for i. -10 Solve 4587*x + 236035 = 132213 - 309008 for x. -90 Solve 230*c + 6877 = -68*c - 3553 for c. -35 Solve 19*v + 27*v - 9*v - 5499 = -3501 for v. 54 Solve 850*c - 1050 = -6150 for c. -6 Solve 52*z - 1652 = 636 for z. 44 Solve 767*w = -505*w + 21080 - 147008 for w. -99 Solve -695085*z + 8896 = -695224*z for z. -64 Solve 12254 - 31614 - 108340 = 9550*z - 3550 for z. -13 Solve 0 = -96*t - 462 + 2478 for t. 21 Solve 2*p - 177*p - 5432 = -58*p + 77*p for p. -28 Solve 9839 + 18578 = 524*s - 24550 - 2577 for s. 106 Solve -1465 = -269*z + 3909 + 3503 for z. 33 Solve 560112*a = 560036*a + 152 for a. 2 Solve -354*o = -200*o + 7084 for o. -46 Solve -1065*h = 1058*h - 2238*h - 8050 for h. -70 Solve 1731*c = 4417*c + 6593*c - 674478 - 40005 for c. 77 Solve -302*m + 481*m + 44176 = -323*m for m. -88 Solve 0 = -1161*o + 169*o - 59520 for o. -60 Solve 335 = -99*w - 1138 - 705 for w. -22 Solve -55 - 202 = -54*w + 499 for w. 14 Solve -458 - 517 + 741 = -40*u - 38*u for u. 3 Solve -6799*g + 217168 = 11186*g - 4412*g for g. 16 Solve -12518 + 2924 = 738*c for c. -13 Solve 13222*g + 5626*g = -1389*g - 2671284 for g. -132 Solve 0 = 2996*g - 2542*g + 3632 for g. -8 Solve 234*w - 163325 = 3709*w for w. -47 Solve 175 = -126*d + 3829 for d. 29 Solve -595*y + 4902 = -118*y + 2449 - 8041 for y. 22 Solve -44572 = -3470*d - 9366 + 41134 for d. 22 Solve -399*d - 1896*d = 425*d - 375*d + 75040 for d. -32 Solve -10640 = -26*k - 189*k + 35*k - 124*k for k. 35 Solve -5125*u + 7565*u = 383516 - 17516 for u. 150 Solve 0 = -2437*c + 1485*c - 13328 for c. -14 Solve -13868 + 5360 = 2836*i for i. -3 Solve -27631*w + 222528 = -25679*w for w. 114 Solve -14660 = -261*a - 16831 + 13655 for a. 44 Solve 0 = -46*j + 11309 - 10619 for j. 15 Solve 167*t + 304*t - 182*t - 16614 = -350*t for t. 26 Solve 310*d - 2660 = -357*d + 824*d - 252*d for d. 28 Solve -1459*y + 37926 + 53128 = 30252 - 55918 for y. 80 Solve -183*m - 50840 = 99*m + 538*m for m. -62 Solve 1978 = 11833*n - 11790*n for n. 46 Solve 9467 = -901*j + 22081 for j. 14 Solve 53227 = -12569*f - 939724 for f. -79 Solve -1937*n = -1644 + 57817 for n. -29 Solve -317*b + 1415*b - 342*b - 244002 = -2941*b for b. 66 Solve 240*f = -3427 + 13475 + 23792 for f. 141 Solve 3807*z - 835*z + 173*z + 54021 = 315056 for z. 83 Solve -144*t + 35*t - 491 = -928 - 653 for t. 10 Solve 442*y - 4188 = 824 - 1034 for y. 9 Solve 365*z - 64 + 1263 = -1876 - 210 for z. -9 Solve -3601576*r + 510 = -3601566*r for r. 51 Solve 0 = 10879*x + 93414 - 112519 - 133201 for x. 14 Solve -36 - 223 = 3255*z - 3218*z for z. -7 Solve -324*z + 688*z = 330*z - 1598 for z. -47 Solve -42*x + 112 = 132 - 314 for x. 7 Solve 126*s + 899 = 42*s - 109 for s. -12 Solve -370*m - 5963 = -18965 - 9198 for m. 60 Solve 0 = 95*y - 257960 + 247605 for y. 109 Solve -19*v - 13*v - 1728 = 39*v - 44*v for v. -64 Solve -79953 = -2522*h - 1771 for h. 31 Solve -49317 - 296403 = -4020*s for s. 86 Solve -7907 - 3845 = -115*b - 337*b for b. 26 Solve -1710 = -1390*x + 6630 for x. 6 Solve -36*d = -79*d + 3*d + 2520 for d. 63 Solve 26*m - 1648 = -92*m + 7481 + 4441 for m. 115 Solve 265*m = 974*m + 17725 for m. -25 Solve -2*k - 49 = -291*k + 7754 for k. 27 Solve -1298*w = -1323*w + 525 for w. 21 Solve -9454 + 10579 = -125*o for o. -9 Solve 213925 = -12301*o - 107651 - 22852 for o. -28 Solve 4276*w + 1800*w = 2133*w - 2795*w - 316686 for w. -47 Solve -11255*m + 354 + 1284 = -11216*m for m. 42 Solve -271*d = 286*d + 380*d + 168*d - 49725 for d. 45 Solve 9653*y + 68152 = -57337 for y. -13 Solve -7479*v - 282 = -7573*v for v. 3 Solve -434896 = -9976*j + 5034*j for j. 88 Solve -493131*q = -493291*q + 1
{ "pile_set_name": "DM Mathematics" }
3 Find the second derivative of d**3*q*t**2 - 41*d**3 + d**2*q*t**2 + 34*d*q*t**2 + 2*q wrt d. 6*d*q*t**2 - 246*d + 2*q*t**2 Differentiate -19*c*o**2 + c*o*s**2 + 30*c*o - o**2*s + 13*o*s**2 + 2*s**2 + 61*s with respect to c. -19*o**2 + o*s**2 + 30*o What is the first derivative of 1433*o**2*w**2 + 3*o**2*w + 51*o**2 - 5*o - 2 wrt w? 2866*o**2*w + 3*o**2 What is the third derivative of -38*f**3*p - 4*f**3 - 6*f**2 - 57*f*p + 2*f wrt f? -228*p - 24 Find the third derivative of -472*r**3 + 10*r**2 wrt r. -2832 What is the derivative of -2830*w**4 + 1923? -11320*w**3 Find the second derivative of -1573*c**2 - 1597*c wrt c. -3146 Differentiate 1456*g**3 - 3999. 4368*g**2 Find the second derivative of -4*c**2*t**3 + 2*c**2 + 27*t**5 + 2*t**3 + 143*t + 3 wrt t. -24*c**2*t + 540*t**3 + 12*t What is the derivative of 3*f**2*j*r**2 - f**2 - 3*f*r + 15*j*r**2 + 104*j wrt r? 6*f**2*j*r - 3*f + 30*j*r Find the second derivative of 1511*g**5 - 2*g - 453. 30220*g**3 What is the third derivative of -35*b*u**6 + 4*b*u**4 - 2*b*u**3 + 7*b*u + 10*u**2 + 4*u wrt u? -4200*b*u**3 + 96*b*u - 12*b What is the second derivative of 918*g**4 + 2*g**3*m - g**2*j*m + 91*g*j - j - m wrt g? 11016*g**2 + 12*g*m - 2*j*m What is the third derivative of -416*g**2*u**3 - g**2*u + g*u**3 + 2*g*u**2 + 23*g*u + u**4 - 3*u**3 + 6*u wrt u? -2496*g**2 + 6*g + 24*u - 18 What is the third derivative of -m**5*r - m**4*r + 37*m**3*r + 131*m**2*r - 2*m wrt m? -60*m**2*r - 24*m*r + 222*r Find the third derivative of -v**6 - v**5 - 60*v**3 + 53*v**2 + 16. -120*v**3 - 60*v**2 - 360 What is the second derivative of 20*g**3*j - 2*g**3 + 138*g**2 - 5*g*j + 3*g + 25*j - 1 wrt g? 120*g*j - 12*g + 276 Find the third derivative of 96*g**6 + 3*g**2 - 23*g. 11520*g**3 Find the third derivative of -19*a**2*h**4*t + 2*a**2*h**2*t + 4*a**2*t + 179*a**2 - 179*a*h**4 wrt h. -456*a**2*h*t - 4296*a*h Find the first derivative of -341*j**3*r**2*u**2 - 77*j**3*u**2 + 3*j**2*r*u**3 - 11*j**2*u**3 - 2*u**3 - 3 wrt r. -682*j**3*r*u**2 + 3*j**2*u**3 Find the second derivative of 11*c**4 + 17*c**3 - 9*c - 12 wrt c. 132*c**2 + 102*c What is the second derivative of -2304*h*s**3 + 102*h*s + 5*s wrt s? -13824*h*s What is the third derivative of 7*x**5 - 11*x**3 - 17*x**2 + 2? 420*x**2 - 66 What is the third derivative of -471*s**2*y**5 + 4*s**2*y**4 + 4*s**2*y**2 - 6*s**2*y - 3*y wrt y? -28260*s**2*y**2 + 96*s**2*y What is the first derivative of 156*b**3*f**2 + 1328*b**3 - 6*f**3 wrt f? 312*b**3*f - 18*f**2 Find the second derivative of -28*u*v**5 - 121*u*v**3 + 4*u*v - 1296*v - 1 wrt v. -560*u*v**3 - 726*u*v What is the second derivative of 13*m**3 + 7*m**2 + 178*m? 78*m + 14 Differentiate 137*m**2 + 25. 274*m Find the third derivative of 1340*n**3 + 7979*n**2. 8040 What is the second derivative of -21118*s**2 - 2940*s wrt s? -42236 Find the second derivative of 7*a**3*h**2 + 46*a**3*h - 3*a**2*h**4 + 4 wrt h. 14*a**3 - 36*a**2*h**2 Find the third derivative of 56*p**2*r**4 + 8*p**2*r**2 + 5*p**2*r - p*r**2 + 2*r**4 - 2*r**3 wrt r. 1344*p**2*r + 48*r - 12 Find the first derivative of 13100*h*n + 4197*n wrt h. 13100*n What is the first derivative of 87*c**2 - 17 wrt c? 174*c Find the second derivative of -6*l**4*v + 2*l**4 - 8*l**3*v - l*v - 2*l + 4*v wrt l. -72*l**2*v + 24*l**2 - 48*l*v What is the second derivative of -9947*b**3 - 4*b - 202? -59682*b Differentiate c**3*o + 11*c**3 + 3*c*o**3 - 1449*o**3 with respect to c. 3*c**2*o + 33*c**2 + 3*o**3 Find the first derivative of 599*d**2 + 359 wrt d. 1198*d Find the third derivative of -2*b**3*j**3 - 3*b**3*j**2 + 2057*j**6 + 90*j**2 wrt j. -12*b**3 + 246840*j**3 What is the second derivative of -6*p**3*z**3 + 4*p**3*z + p**2*z - 18*p*z - 7*z**3 wrt z? -36*p**3*z - 42*z What is the first derivative of 40*d**3*k*m**2*p**2 + 8*d**3*k*p + 69*d**3*m*p**2 + d*m**2*p - 4*m*p**2 wrt k? 40*d**3*m**2*p**2 + 8*d**3*p Find the third derivative of 3*j**3*u**3 - 11*j**3 + 11*j**2*u + 2*u**3 wrt j. 18*u**3 - 66 What is the first derivative of 84*d**3*o**2 - 12*d**3*o - 2*d**3 + 9*d**2 + 11 wrt o? 168*d**3*o - 12*d**3 What is the derivative of 3*b**2*q**2 - 1082*b**2*q + 50*b**2 + 9*b wrt q? 6*b**2*q - 1082*b**2 What is the third derivative of -81*n**3 - 911*n**2 wrt n? -486 Find the second derivative of -285*k**4 - 365*k wrt k. -3420*k**2 Find the third derivative of -510*q**6 - 377*q**2. -61200*q**3 Find the first derivative of 2106*v**4 - 396. 8424*v**3 What is the first derivative of -2*b*n + 1408*b + 363*n**3 wrt n? -2*b + 1089*n**2 What is the third derivative of -26268*s**3*t**3 - s**3*t**2 - 2*s**2*t**2 + 24*s**2 - 2*t**3 - 27*t**2 wrt t? -157608*s**3 - 12 Find the third derivative of 402*o**5 + 3*o**4 - 4105*o**2 wrt o. 24120*o**2 + 72*o What is the second derivative of 13*d**4 + 31*d**2 + 4*d + 70 wrt d? 156*d**2 + 62 What is the derivative of -24*o**3 - 31*o**2 - 4782 wrt o? -72*o**2 - 62*o What is the second derivative of c*f**2*s - c*f**2 + 3*c*f*p + 3*c*p*s - 5*f**2*p*s + 18*f**2*s + 13*f*p + 2*p*s wrt f? 2*c*s - 2*c - 10*p*s + 36*s Find the third derivative of 955*p**6 + p**5 - 2*p**3 + 203*p**2 - 2*p - 5 wrt p. 114600*p**3 + 60*p**2 - 12 Find the second derivative of 1723*b**3 - 2662*b wrt b. 10338*b Find the third derivative of -50*p**6 - 9*p**2 + 15 wrt p. -6000*p**3 Differentiate 157*i*p**2*r + 24*i*r + 5733*p**2*r wrt i. 157*p**2*r + 24*r What is the second derivative of -8973*l**2 + 20738*l? -17946 What is the third derivative of 6*i**4 + 2*i**3 - 21*i**2 - 3*i? 144*i + 12 What is the derivative of 16*c*v**3 + 5*c*v**2 + 76*v**3 wrt c? 16*v**3 + 5*v**2 Find the second derivative of c**3*w**2 - 101*c**2*w**2 + 6*c**2*w + 5*c*w + 2*w**2 - 4*w - 2 wrt c. 6*c*w**2 - 202*w**2 + 12*w Differentiate -p**2 + 118*p*s - 385*s wrt p. -2*p + 118*s Differentiate 516*n**2*t - 16*n**2 + 6*t - 91 wrt t. 516*n**2 + 6 Find the third derivative of -5*g*n**4 - 3*g*n**3 - 6*g*n**2 - 24*g*n + 14*n**6 wrt n. -120*g*n - 18*g + 1680*n**3 What is the third derivative of 54*f**3*v**2*w + 3*f**3*v**2 - 168*f**2*v**2*w + f**2*v + 3*f**2*w + f*v*w wrt f? 324*v**2*w + 18*v**2 What is the second derivative of -6188*f**2*z**2 + 994*f**2*z - 3*f**2 wrt z? -12376*f**2 What is the second derivative of -3*j**2*q**3 - 135*j**2*q + 22*j*q**4 wrt q? -18*j**2*q + 264*j*q**2 What is the derivative of -10*w**2 - 7*w - 331 wrt w? -20*w - 7 What is the third derivative of -8900*k*l**3 + 2*k*l**2 - 48*k*l + l**4 + 7*l**2 + 3 wrt l? -53400*k + 24*l What is the derivative of 156*n*v**3 + 9576*n + 16*v**3 wrt v? 468*n*v**2 + 48*v**2 What is the third derivative of 3*u**5 + 24*u**3 + 309*u**2? 180*u**2 + 144 What is the derivative of -766*k**4*m**2 + k**4*m + 6219*m**2 wrt k? -3064*k**3*m**2 + 4*k**3*m What is the second derivative of -5*f*g**2 - f*g - 175*f - 47*g**2 wrt g? -10*f - 94 What is the second derivative of 37*l**2*p**3 - 3*l**2 + 3*l*p - 5*l + 26*p**3 - 4 wrt p? 222*l**2*p + 156*p What is the second derivative of -9163*b**3*t**2 - 2*b**3*t + 22*b**2*t + 26*b**2 wrt t? -18326*b**3 What is the third derivative of -230*g**5 - 7*g**4 - 3026*g**2? -13800*g**2 - 168*g What is the third derivative of -12*b*h*t*y**3 - 5*b*h*t + b*h*y**2 + 2*b*h + b*t*y**3 - 2*b + 3*t*y**3 wrt y? -72*b*h*t + 6*b*t + 18*t Find the second derivative of -h**2*j**3*t + 2*h**2*j - 2*h**2*t + 5*h**2 + 3*h*j**3*t - 2*h*j**2*t + h*j*t wrt j. -6*h**2*j*t + 18*h*j*t - 4*h*t What is the third derivative of 7149*q**4 + q**2 - 6*q - 40? 171576*q Find the second derivative of 1065*x**5 + 2*x - 1. 21300*x**3 Find the second derivative of 274*b**2 - 28*b + 1 wrt b. 548 What is the second derivative of 809*v**3 - 4*v**2 - 6859*v? 4854*v - 8 Differentiate -r**2 + 61*r + 144 wrt r. -2*r + 61 Find the first derivative of -2866*c*g**3 - 1533*g**3 wrt c. -2866*g**3 Find the second derivative of 1952*g**4 - 1530*g + 1 wrt g. 23424*g**2 Find the first derivative of -2*c*z**2 - 2598*c - 4003*z wrt z. -4*c*z - 4003 Find the third derivative of -19*j**5 + 43*j**3 + j**2 - 171*j wrt j. -1140*j**2 + 258 Find the third derivative of -154*b**4 + 11*b**2 - 12. -3696*b Find the second derivative of b**3*f**3 + 2*b**3*f**2 - 2*b**3*f - 2*b**2*f*n + b*f**2*n + b*f + 55*b*n wrt f. 6*b**3*f + 4*b**3 + 2*b*n What is the derivative of -10*t**2 - 371*t - 78
{ "pile_set_name": "DM Mathematics" }
.3? 0.3 Let n = 3 - 6. Let m = -141.1 + 147. Let g = m + -5.81. Which is the biggest value? (a) 1/3 (b) n (c) g a Let v = -12 - -9. Let g = -92.9 + 94.9. Which is the second biggest value? (a) g (b) v (c) 0.5 (d) 0 c Let u = -2.7432 + -0.2578. Let l = -0.001 - u. What is the smallest value in 6, 2, l? 2 Let z = 16 + -19. What is the biggest value in 2, -15, z, -2? 2 Let y = 0.04 + -0.54. Let r be ((-14)/217)/((-3)/83). Let g = r - 14/31. What is the third biggest value in g, y, 3/5? y Let b be 63/18 - ((-15)/(-5) - -1). Let z = 0.1 - -0.7. Let f = z - -0.2. What is the third biggest value in b, f, -2/9? b Suppose 11 = -5*a + 2*g - 8, -g + 5 = -a. What is the third smallest value in -1, 2/7, -0.4, a? -0.4 Suppose -3*p - 180 = -12*p. Let f = p - 21. Let y = 1/2 + -1. What is the third smallest value in 1/3, y, f? 1/3 Let i = -149.5 - -9.5. Let x = 139.9 + i. Which is the biggest value? (a) 1 (b) x (c) 1/5 a Let w = 0 + 0.03. Let f = 0.37 + w. Let z(i) = i - 3. Let r be z(8). Which is the smallest value? (a) f (b) r (c) 0.2 c Let x = 94 + -90. What is the second smallest value in -0.4, x, -5/8? -0.4 Let y = -626/3 - -209. Which is the third smallest value? (a) 0.2 (b) 10 (c) y b Let h(a) = -7*a + 154. Let r be h(22). What is the smallest value in 46, -1/9, r? -1/9 Let a(l) = l**3 + 22*l**2 + 21*l + 6. Let z be a(-21). Suppose z*r + 6*r = 9*r. What is the fourth smallest value in r, 0.4, -0.1, -0.19? 0.4 Let h = 291 - 291.2. Which is the fourth biggest value? (a) 3 (b) 1 (c) -5/12 (d) h c Let g(q) = -q**3 - 14*q**2 + 2. Let o be g(-14). What is the third smallest value in 4, -1.4, 0.5, o? o Let d = -9.88 + -10.98. Let s = -21 - d. Let w = 1.86 - s. Which is the biggest value? (a) w (b) 0 (c) 5 c Let x = 29 - 29.029. Let m = 0.101 - x. Let w = 29/105 + 2/35. What is the smallest value in m, w, -5? -5 Let q = -2458 + 2453. What is the third biggest value in 3, -3/5, -0.3, q? -3/5 Suppose 12 = 6*r - 3*r. Let g(n) = 2*n + 19. Let b be g(-8). Suppose -r*c = -7*c - b. What is the second biggest value in c, -3, -0.2? c Let x = 17.1 + -11.1. Let g = 5.7 - x. What is the second biggest value in 4/7, -6, g? g Let p = 0.1 + -0.5. Let a = 322.3 - 322. Let f = -0.37 + 0.07. What is the third biggest value in f, p, a? p Let k = 672 - 673. Which is the fourth smallest value? (a) 3/4 (b) 2.2 (c) 3 (d) k c Suppose -4*u - s = -2*u - 9, 0 = -s - 1. What is the fourth biggest value in 0.2, -0.4, u, -2? -2 Let k = 72 - 221/3. Which is the second biggest value? (a) 1/4 (b) -5 (c) k c Let d = -4387/10269 + -2/1467. Let h(y) = -y. Let p be h(-2). Which is the second biggest value? (a) p (b) d (c) -5 b Let j = -195 - -10. Let n = 201.8 + j. Let u = n - 17. What is the third biggest value in u, -2/11, 1.5? u Suppose 2 = -v + 5*g - 22, 0 = -3*v + 4*g - 72. Let t = 0.2 - 0.1. Which is the second biggest value? (a) -3 (b) v (c) t a Let m = 46.8 + -46.4. Which is the smallest value? (a) 1 (b) m (c) 11/7 (d) 3 b Let v = 32.2 + -32. Which is the biggest value? (a) 3/5 (b) -1 (c) 3 (d) v c Let t = -0.542 - -0.042. Which is the third biggest value? (a) -0.14 (b) -4 (c) t (d) -5 b Let f(h) = h**3 - 3*h**2 - 3*h + 3. Let l be f(2). Let w be (l - 1)*(-3)/6. Let s = 0.9 - 4.9. Which is the second smallest value? (a) 12/11 (b) w (c) s a Suppose 161*k - 159*k - 2*c + 4 = 0, 4 = -5*k + 3*c. What is the second biggest value in 2/3, -0.4, -28, k? 2/3 Let p = 0.49 - 0.49. What is the smallest value in p, -1/4, 1/4? -1/4 Let j = 52.14 + -52. Let w = j - 0.04. What is the second biggest value in 0.2, -6/11, w? w Let n = -72 - -77. Let i = 0.138 - 0.038. Which is the biggest value? (a) 12 (b) -1 (c) i (d) n a Let z be (-30)/56 - 14/(-49). Let l = 90 - 89.6. What is the third biggest value in 3, l, z? z Let w(a) = -2*a - 3. Let k be w(-6). Suppose -k*s + 8 = -5*s. What is the second smallest value in 0.1, -5/6, s, 1/3? 0.1 Let o = 5 - 7.25. Let k = 0.75 - o. Which is the second biggest value? (a) 12 (b) -5 (c) k c Let d = 0.117 + -5.117. What is the second biggest value in 5, -4, d, 2? 2 Let o = 50.6 - 45.6. Which is the third biggest value? (a) o (b) 1/8 (c) 4/39 c Let w = -66 - -64. Let s = 14.04 - 0.54. Let r = s + -13. What is the second smallest value in w, r, -1/5? -1/5 Let m = 1970/7 - 281. Which is the third smallest value? (a) m (b) 1 (c) 3 (d) 4 c Let o = -0.048 - 3.012. Let u = 92.06 - 92. Let p = u + o. Which is the third smallest value? (a) p (b) -2 (c) 1/6 c Suppose 0*s + 3*s + 78 = 0. Let u be (3/(-1))/(-9 - (-1950)/220). Let z = s + u. Which is the third biggest value? (a) z (b) -5 (c) 2/3 b Let k = 0.244 + 0.756. What is the smallest value in 4, -1/5, -1, k? -1 Let y = -232 - -231. Suppose 0 = r + 2*r - 3. Which is the biggest value? (a) -0.2 (b) y (c) -5/3 (d) r d Let q = 42 + -41.79. Let z = 17 - 17.09. Let s = q - z. Which is the second biggest value? (a) -1/5 (b) s (c) -2/11 c Let x be 2/8*(-56 + 39). What is the smallest value in 5, 4/5, x? x Let r = -17 + 17. Suppose r = 4*m - 0*m - 12. What is the biggest value in -1, m, -4? m Let q = -22 + 22.18. Let f = -0.18 + q. Which is the smallest value? (a) -5 (b) f (c) 2 a Suppose 2 = 2*n + 6. Let m(z) = z**2 - 3*z - 5. Let o be m(n). Let i = 9 - 8.9. Which is the second biggest value? (a) 0.5 (b) i (c) o a Let o = 50.92 + 0.08. Let w = o - 47. Which is the second biggest value? (a) w (b) 7 (c) 4/7 a Let y(x) = -x**2 + 2*x + 24. Let f be y(11). Let o = f + 227/3. Which is the third biggest value? (a) o (b) -0.1 (c) 0 (d) -1 b Let r = 0.2011 + -0.1011. Which is the smallest value? (a) r (b) 83 (c) 0.3 a Let p = -894 + 891. Which is the biggest value? (a) p (b) -0.8 (c) 1 c Suppose 38 = 22*p - 3*p. Let v be p/12 - 464/(-96). Suppose -5 = a - 1. What is the third smallest value in a, v, -5? v Let r = 16 + -19. Let k = -2.5 - r. Let t be 2*(2 + 2*-2). Which is the second biggest value? (a) -1/7 (b) t (c) k a Suppose -37 = -2*d - 17. Let j = d + -41/4. What is the biggest value in j, 4, 0, 0.4? 4 Let r = -2072/9 + 230. Let t = 450/7 + -64. What is the fourth smallest value in t, r, -5, -0.5? t Let x = -13/35 + -31/105. Which is the third smallest value? (a) x (b) -5 (c) -17/4 a Let i be 2/4*(21 - 15). Let r be ((-14)/56)/(i/8). What is the second biggest value in -0.2, r, -5? r Let n be (-4)/11*(-594)/540. Which is the smallest value? (a) 1 (b) n (c) -34 c Let d = -158.19 + 159. Let l = d - 0.22. Let s = -0.09 + l. What is the second biggest value in -3/2, 0.4, s? 0.4 Let d = 7.425 + -0.125. Let g = d + -8. Let o = 1982 + -5942/3. Which is the second biggest value? (a) o (b) -2/5 (c) g b Let f = 0.1 - -0.4. Let w = -31/14 + 5/2. Which is the smallest value? (a) w (b) 0 (c) f b Let m be (-5)/2*2 - 0. Let d(t) = t**2 + 8*t. Let h be d(-7). Let x be h/3 - (-1 + -2). What is the smallest value in 1, x, m? m Let n be (7 - -3) + -7 - -1. What is the second smallest value in -1, n, -0.5? -0.5 Let k = -2 - -4. Let p = -33 - -44. Let q = p - 10.8. What is the third smallest value in -6, k, q? k Let b = -0.625 - 16.025. Let s = -16 - b. Let k = s - 0.15. What is the third biggest value in k, -0.4, -0.3? -0.4 Let s = 12.97 + -14.97. Which is the third biggest value? (a) 4 (b) 3/7 (c) s (d) -1.2 d Let n = 347 - 12143/35. Let a = -0.1 - -0.3. Let s = 0.1 + -0.3. What is the second smallest value in a, s, n? n Suppose 3*l = 4*z - 29, 2*z + 46 = -3*l - l. Let t = 58 - 113. Let r = 51 + t. Which is the third biggest value? (a) r (b) 2/5 (c) l c Let g = -0.36 + -0.04. Let v(w) = -3*w**2 - 11*w + 12. Suppose 4*y + 3*a = 16, -a + 5 = y - 0. Let k be v(y). What is the biggest value in k, 4, g? 4 Let f be (-1)/(-2)*(5 + (-247)/52). What is the fourth biggest value in 0.4, f, 4/9, -0.5? -0.5 Let o = -96 - -99. Let g be (-82)/(-42) - (-2)/(-7). Let u = -3.2 + 0.2. What is the third smallest value in g, u, o? o Suppose -31*w = -2*w - 29. Let q = 0 - -0.2. What is the fourth biggest value in -3, w, 2/7, q? -3 Let n = -6.6 - -6.699. Let q = -11.099 + n. Which is the third smallest value? (a) 2 (b) q (c) -1 (d) 1/2 d Let q = -28.008 - -0.008. Let g = -27.9 - q. Let l = 0.1 + g. What is the second smallest value in -0.5, 2/15, l? 2/15
{ "pile_set_name": "DM Mathematics" }
Solve -2*h - 6 = g, 0 = -3*h + g + w - 5 for h. -2 Let h(g) = 4*g**2 + 12*g + 7. Let o be h(-3). Solve 5*d + 17 = w + o, 4 = 2*d - 2*w for d. -3 Suppose -3*z + 53 = 5. Suppose 4*l + o + 3*o - z = 0, 0 = -4*l + 3*o + 2. Suppose -5*w = -3 - 7. Solve -1 = -3*q + i, -4*q + i + l = -w*q for q. -1 Suppose y - 13 = -3*c, -3*c - 2*c + 31 = 4*y. Solve -5*z + 0*r - 16 = y*r, -4*z - 3*r = 12 for z. 0 Let s = 300 - 295. Let q be (-5)/(0/3 + 1). Let m be s/((q/1)/(-5)). Solve 5 = -m*l - 5, 0 = -x - 3*l - 5 for x. 1 Let r be (-14)/(-4)*2 + -2. Suppose -2*g = -8 + 18. Let d = -2 - g. Solve -d*f - 13 + r = -j, -4*f = 3*j - 11 for j. 5 Let z = 9 + -7. Let p be (5/z)/(-5)*0. Let h = 0 - p. Solve -4*r - 2*o - 6 = h, -5*r - 2*o - 9 = -o for r. -2 Let t be 10 + (-6)/(-3) - (-2)/1. Suppose -t = -3*k - c, -4*c + 8 = -5*k + k. Let m be 1*-1 - -1*6. Solve -4*o + k*q = -2 + 5, -o = -5*q + m for o. 0 Let h be (0 - 2) + (-45)/(-5) + -4. Solve -4*a = -h*y + 11, y - 29 = -4*y - 4*a for y. 5 Suppose -2*c + 16 + 11 = 5*m, 3*m + c - 16 = 0. Let h be 50/(-4)*((-39)/(-15) - 1). Let d = h + 41. Solve 2*o + 4*u - 16 = 6*o, -d = 4*o - m*u for o. 1 Let d be 1 + 17 - (5 - 7). Suppose 7*z = 2*z - d. Let w be (z - (-3 - 0))*0. Solve w*y - 2*v + 14 = -y, -10 = 5*y + 2*v for y. -4 Let b be (1*-4)/(((-208)/65)/4). Solve 0 = -2*p + 4, -p - 5 = b*w + 4*p for w. -3 Suppose -3*s = -8*h + 3*h + 8, 2*s - 3*h = -4. Solve 18 = -2*d - s*u, -d + 2*d - 5*u - 19 = 0 for d. -1 Suppose 7*c = 14 + 56. Solve -2*l + 20 = c, l - 2 = i for i. 3 Let s be ((-15)/(-10))/((-3)/(-8)). Let b(j) = -j**3 + 5*j**2 + 3*j - 1. Let f be b(s). Solve -2*g = -5*m - f, 4*g = -0*g + m + 9 for g. 1 Let k be 9*((-24)/27 + 8/6). Solve -z + 0*n - 1 = k*n, -2*n + 4 = 2*z for z. 3 Let k(c) = -2*c + 72. Let l be k(36). Solve 0 = 2*u + 3*u + 2*f + 13, l = 4*u + 2*f + 10 for u. -3 Suppose 15 = -5*x + 5*j, j = -4*x + 3 - 0. Let c = 8 + -7. Solve 2*u + 3*r + 5 = c, 2*u - 5*r - 12 = x for u. 1 Let q = 471 + -471. Solve -2*m + q*i + 2 = i, -m - 5*i = 17 for m. 3 Let c be (-133)/(-11) + (-4 + -2)/66. Solve 0 = -2*r + 4*h + 8, 3*r = -r + 4*h + c for r. 2 Let v(o) be the first derivative of 2*o**2 - o + 2. Suppose 5*u - 4 = 3*u. Let i be v(u). Solve 2*y + 7 = -3*l, i*y = 2*y + 2*l - 8 for y. -2 Let w be 30/4*12/18. Suppose 2*m - 4 = -r, 0*r - 2*r - 5*m = -w. Let j be 81/15 - 4/r. Solve 2*p = -0*p + 2*n + 6, -j*p - 5*n + 15 = 0 for p. 3 Let s = 91 - 26. Suppose 2*y = 4*y + r - 45, -2*y + s = 5*r. Suppose -2*l = y - 48. Solve p - 3*t + l = 0, -4*p - 3 = 5*t + 2 for p. -5 Let g(x) = 2*x**2 + 25*x + 65. Let d be g(-9). Solve -3*p - 16 = -2*r, -3*r - d*r + 21 = 2*p for r. 5 Let v(f) = 2*f**2 + 7*f + 5. Let a be v(-6). Suppose y - a = -4*y. Suppose 0 = 5*g + n - 8, 6 = 4*n - 6. Solve -3*i = -t - y, -4*i - 13 = 4*t - g for i. 1 Suppose -8*u = -235 - 13. Suppose -26*p = -u*p + 15. Solve -4*z + 20 = 0, -z = 3*l + p*z - 35 for l. 5 Let j be (-15)/(-75)*(22 - 2)*1. Solve -3*t + 2 = -5*u, -j*u = -t - 1 - 3 for u. 2 Let z(l) = -182*l + 347*l + 1 + l**2 - 183*l. Let s be z(18). Solve -2*q + 5*r - s = 8, 0 = -5*q - 5*r - 5 for q. -2 Let w = 39 - 47. Let k be 6/w*-4 + -2 + 3. Solve -5*a + 30 = 3*x, -4*a + a = k*x - 29 for a. 3 Let d be (7/14)/(8/80). Solve -4*n + n - 25 = d*y, -y - n = 5 for y. -5 Let l = 938 + -922. Solve -4*w + s - 12 = 0, -2*s = -3*w - 3*s - l for w. -4 Let l(z) = 2*z**2 + 48*z. Let x be l(-24). Solve -3*h + 2 = -5*k, x = -2*k - 3*k + h + 6 for k. 2 Let c be 5 + (-176)/40 + 64/10. Solve -2*n = -3*f - 10, 3*n - c = f + 8 for n. 5 Let k(l) = -l**3 - 2*l**2 + l. Let x be k(-3). Suppose -9*o + 8*o = -2. Suppose o*z = 4*z. Solve -p + 3*d + 14 = z, p - x*p = d - 6 for p. 2 Let z(l) = -l**3 + 6*l**2 - 5*l + 4. Let s be z(5). Let y(o) = o**2 - 8*o - 3. Let i = -50 + 59. Let k be y(i). Solve 2 = -4*r + d, s*r + 3*d = 8*d + k for r. -1 Suppose 6*r = 23 - 5. Let y be 7 + (0 - 7) - (-15)/3. Solve -3*u + r*m - 38 = -11, y = m for u. -4 Suppose 5*y - 6 = 4*n, y - 3 = -y + n. Let w = 37 + -41. Let p = w + 8. Solve -p + 0 = 2*o - y*i, -5*o = 4*i + 28 for o. -4 Suppose -2*a - 3*a = l + 8, 0 = 5*a + 15. Suppose 0 = l*s - 14 - 7. Solve 0 = s*w - 15, w - 15 = 5*k - 0*w for k. -2 Let c(v) = v**2 + 9*v + 21. Let d be c(-2). Solve 4*h + d = 2*s - 15, -s = -4*h - 21 for s. 1 Suppose -2*y + 3*m - 6 = 0, -4*y + 4 = -0*y - 2*m. Let b = y - -1. Solve -3 = -2*r + 1, -b*h + 3*r = -2 for h. 2 Let d be -2*(-3)/(18/3). Solve -d = y + 2*g + 5, 2*g = -3*y - 2 for y. 2 Suppose 0 = 3*t + 7*g - 2*g - 15, 0 = 2*t + 2*g - 14. Let w be 1 + (t/(-15) - 2/6). Solve -4*h + 3*k + 8 = w, -2*k = 2*h - 4*k - 6 for h. -1 Suppose -215 = -63*t + 20*t. Solve -4*c - 3*r = -3, -r = -0 - t for c. -3 Let u be 15/40*-4*-2. Solve u*c + 2 - 5 = 4*v, 2*v - 4*c - 6 = 0 for v. -3 Let d(x) = -x**3 - 19*x**2 - 21*x - 51. Let r be d(-18). Solve -3*n + 10 = 2*g, 0*n + g = -r*n + 11 for n. 4 Let m be (9/2)/1 - (-75)/(-150). Let f = -8 - -12. Solve 0*w + w + 20 = -5*g, -f*g = m*w for w. 5 Suppose 0 = 475*k - 484*k. Solve 5*u = -r + 32 - 9, k = 4*r + 4*u - 28 for r. 3 Let j be (1/2 - 1)*0. Let u be 3*2/12*j. Suppose u = -3*v + 5*b + 29, 15 = v - 7*b + 4*b. Solve -t = -3*r + 13, 4*t - 3 = v*r - 2*r for r. 5 Suppose -4*q - 12 = 3*n, 5*q - 5*n = 12 + 8. Let j = 9 - q. Solve 3*u + 2*u = -s - 13, 0 = -s - 3*u - j for s. -3 Suppose 0 = -5*t + 8*t + 2*n - 10, 6 = t - 2*n. Solve -2*b = -3*q + 5*q + 10, -2*b = -t*q - 20 for q. -5 Let v(s) = -s**2 - 15*s - 37. Let x be v(-11). Let n be ((-6)/(-8))/(x/28). Solve 0 = -k - 2*j - 7, 0 = -n*k - 0*k - 5*j - 19 for k. -3 Let m be (0/(4 + -4 + -1))/(-1). Suppose m = 6*o + 6*o - 120. Solve -g = 0, -2*g - 25 + o = 5*j for j. -3 Let o be 2/(-7) - 2902/(-14). Suppose g - o = -4*l + 4*g, 100 = 2*l + 2*g. Suppose 3*z + 0*z - l = 0. Solve -2*s - 8 = a, 0 = 5*s + 3*a + a + z for s. -5 Let i = 1874 - 1849. Solve 4*m - 2 - 16 = 2*x, -5*x - i = -5*m for x. -1 Let o = 10 + -17. Let g = -2 - o. Solve -19 = 2*f + f - 2*s, g*s = 10 for f. -5 Let j(p) = -p**3 + 4*p**2 - 1. Let l(k) = k**2 + 2*k + 3. Let w be l(0). Let r be j(w). Solve -4*u + g + 5 = -0*u, -4*u + r = -4*g for u. 1 Suppose -2*y - 15 = -h - 4*h, 15 = 3*h. Solve -5*j + 15 = 2*q, j - 3*j = y*q + 15 for q. -5 Let l(c) = 8*c - 124. Let v be l(16). Solve -a + 2*q = 7*q + 18, 12 = -v*q for a. -3 Suppose -2*t - 61 = -5*n, n + t = 4*t + 7. Suppose -m + 15 = n. Solve y = -q - m*q + 7, -4*y + q - 11 = 0 for y. -2 Suppose -23*f + 123 = -590. Solve -2*k - 25 = 4*b - 3, 5*k = -2*b - f for b. -3 Let r be (25 - 24)*1*28. Solve -r = c + 5*v, -3*c + 8*c + 40 = -5*v for c. -3 Let s be 2 + -5 - 9/(-3)*4. Let v be (18/s)/(1/2). Suppose 0 = -3*d + 3*x + 18, -4*x + 2*x - 16 = -4*d. Solve 2*p + v = -d*f, 9 = -4*f - 5*p - 4 for f. 3 Let p(j) = 4*j - 9. Let n be p(3). Let u = 7 - 2. Solve w + r - 1 = 0, n = w + 2*w + u*r for w. 1 Suppose -3 = -4*v + 17. Suppose 18 + 12 = 5*r. Suppose 3*o - r*y - 3 = -3*y, 0 = 2*o + v*y - 9. Solve -2 = -o*x + 4*i, -5*x - 4*i + 1 - 38 = 0 for x. -5 Let u(r) = 3*r - 1. Let f be u(1). Let m be (0/6)/(f/2). Suppose -29*a + 25*a + 20 = m. Solve -h = j + 3, a*h = h for j. -3 Suppose 2*g = -3 - 45. Let x be 2/(-1) - g/4. Let z be ((-1)/((-6)/(-52)))/((-4)/6). Solve -z = -2*o - o - b, 4*o - 12 = x*b for o. 4 Let z be (-9)/2*(4 - 6). Suppose 0*d - 3*d = -z. Solve u + 25 = 5*c, -u = 2*c - 13 + d for u. 0 Let y(l) = 2*l**2 - 19*l - 7. Let q be y(10). Solve 5*t = -2*c + 20, -5*t + q = -c - 2 for c. 5 Let o = -58 - -62. Let s(m) = -m**2 + 5*m. Let l be s(o). Solve 0 = l*n - 3*g + 16, -2*g + 8 + 4 = -4*n for n. -1 Suppose -4*t = -6 - 30. Suppose -13 - 10 = d - 5*i, -t = -2*d - i. Solve -d*f + 2 = 2*l - 2, 4*l + 5*f = 6 for l. 4 Let u(g) = 2*g**2 - g - 5. Let f be u(3). Solve -2*w = -n + 3*w - 7, 2*n - f = -2*w for n. 3 Suppose -5*m + 7*m = 4. Let c = -83 + 131. Let d = c - 44. Solve -4*r + m*s - d = 4, -3*r + 5*s = -1 for r. -3 Let y = 61 - 61. Suppose -1 - 5 = -3*w + 5*o, y = 3*o. Solve -s - 15 = -3*a + 2*s, 0 = w*a + 3*s - 5 for a. 4 Let b = 292 - 270. Solve -35 = -5*l - 5*x + 2*x, -2*x = 3*l - b for l. 4 Let h = 266 + -266. Solve 0 = -5*f - p + 9, 2*f + 7*p - 5*p - 2 = h for f. 2 Suppose 334*j - 350*j + 384 = 0. Solve -4*o - 4 = -2*n, 4*o + n = -2*n - j for o. -3 Let o be (-6)/7*308/(-66). Solve -z - 3*z + m + 13 = 0, -
{ "pile_set_name": "DM Mathematics" }
est to -780 in -2/3, 9, 3, -1? -1 Which is the closest to 3.316? (a) -66 (b) -3 (c) 1/6 (d) -0.4 (e) -4 c What is the closest to 2 in 10, -2, -0.4, 2/9, 18? 2/9 Which is the nearest to 0.1? (a) -1/6 (b) -0.3 (c) 0.05 (d) 14 (e) 2/9 c What is the nearest to 0.4 in 0.001, 0, -1/2, -0.9? 0.001 What is the nearest to 1 in -2.9, -89, 0, 1? 1 What is the nearest to -0.158 in -1/10, -1/4, -2/3, 2? -1/10 What is the closest to 1.12 in -0.08, -1.64, 5? -0.08 What is the closest to 2/29 in -1/8, 0.1, -3, 2/5? 0.1 What is the nearest to -1 in 1/4, 0.5, -124.42, 0.2, 4? 0.2 Which is the nearest to -0.2? (a) -4 (b) 3/8 (c) -2/5 (d) -927 c Which is the closest to 22? (a) -0.4 (b) 0 (c) 13 (d) 2/3 c What is the nearest to -2/9 in -0.16864, -5, -1/4, 0.3? -1/4 Which is the nearest to -1.72? (a) 0.3 (b) -1/2 (c) -2/25 b Which is the nearest to -0.221? (a) -17 (b) 0 (c) -5 b Which is the nearest to -1/9? (a) 0 (b) 0.024 (c) 0.4 (d) -0.1 (e) -39 d What is the closest to -2 in -6, 0.1, -3/56, 6? -3/56 What is the closest to -0.2 in 2/3, 4/5, 5, 25/7? 2/3 What is the nearest to -3 in 0.7, 1/8, 13/55, 0? 0 Which is the nearest to -1? (a) 0.4 (b) -0.0207 (c) -3/2 (d) 3/5 (e) -5/3 c What is the nearest to 18 in 0.4, 2, -3, -28.7, -3/7? 2 What is the nearest to -8 in -0.3, 42, -5, -0.04? -5 What is the closest to 21 in -158, -3, 1/4, -1/3, 1/40? 1/4 Which is the nearest to 2/9? (a) 129 (b) 0.2 (c) -0.3 (d) 3 b What is the closest to -2 in -3, -10388/11, 4/5? -3 Which is the nearest to 12? (a) -3 (b) 0.05 (c) -5 (d) 15 d Which is the nearest to 1/4? (a) 4/7 (b) 7.84 (c) 0 c What is the closest to -24 in -6, -0.03, 0, -2/19? -6 Which is the closest to 3/4? (a) -2 (b) -6 (c) -0.2 (d) -5 (e) 27/2 c What is the nearest to 4 in -0.32, 5/4, -0.1, 16, 0.1? 5/4 Which is the nearest to 1? (a) -1/4 (b) 65/21 (c) -27 (d) 4/3 d Which is the nearest to 0.01? (a) -3 (b) 94 (c) -4 (d) -2/5 d Which is the closest to 15/274? (a) -2 (b) 0.1 (c) 31 (d) 1/8 b What is the closest to 1409 in -0.4, -0.2, 3? 3 What is the nearest to -2 in 0.5, -1, 98, 0.3? -1 Which is the closest to -1? (a) 2/19 (b) 54952 (c) -0.06 c What is the closest to 0.0287 in -3/13, 0.6, 0.5? -3/13 Which is the nearest to 1/3? (a) 5 (b) -18.13 (c) 1/7 (d) -1/9 c Which is the closest to -0.03069? (a) 5/4 (b) -5 (c) -2 (d) 4 (e) 0.5 e What is the closest to -0.7 in 1, 1/7, -5, 39, -1? -1 Which is the closest to 6? (a) -0.3 (b) -5 (c) 91 (d) 4/3 d Which is the nearest to 1? (a) -4 (b) -0.3 (c) -57 (d) 1/2 d Which is the nearest to 320? (a) -1/56 (b) -1/3 (c) -2/5 (d) 2/17 (e) 0.4 e What is the nearest to 8 in -0.3, 5, 91, 2? 5 Which is the closest to 0? (a) -3/28 (b) -5 (c) 931 a Which is the nearest to 1/4? (a) 2 (b) -5 (c) 6.18 a What is the closest to -0.1 in 5/8, -0.8, -5, 2/41, 0.1? 2/41 What is the nearest to 2.1 in -2/9, -5, 3/157? 3/157 What is the closest to 1/2 in -1, 3/2, -2, 848? 3/2 Which is the nearest to 3? (a) -0.6 (b) -4 (c) 1/4 (d) 17 (e) 4 e Which is the closest to -2? (a) 347 (b) 4 (c) -1/2 c Which is the closest to -492? (a) 5 (b) -0.8 (c) 2 (d) 2/3 b What is the nearest to 4/3 in 255, -0.3, 3/5, -5, 0.9? 0.9 Which is the closest to -0.138? (a) -0.2 (b) 4 (c) 0.09 a Which is the nearest to 0.2? (a) -0.05822 (b) -4 (c) 1/5 c Which is the closest to 0.3? (a) 3 (b) 20 (c) -10 (d) 2/11 d Which is the closest to 2? (a) 4/3 (b) -1.6 (c) -1.4 a What is the closest to 1/27 in -6.1, -4, 6, 4/5, -0.4? -0.4 What is the nearest to -7/4 in 1/30, 0.2, 19? 1/30 Which is the nearest to -1? (a) -8 (b) 5 (c) -0.1 (d) 5108 c Which is the closest to -157? (a) 0.02 (b) 0 (c) 3 b Which is the closest to 694/9? (a) -0.2 (b) -4 (c) 1/3 c What is the closest to 4864 in -0.5, -3, 1, 2/3? 1 What is the closest to -0.3 in -2/15, -3, 131, 7? -2/15 Which is the nearest to 0.2? (a) 3/10 (b) -8 (c) -0.19 a What is the closest to 1/2 in 5/11, -4, -2, -0.3, -2/57? 5/11 Which is the closest to -0.2? (a) -1/5 (b) 2 (c) 54/901 (d) -2/7 a What is the nearest to -2/9 in 2118, 0.5, -2, -2/9? -2/9 Which is the closest to 7456? (a) 0 (b) 3 (c) 2/7 b Which is the closest to 1? (a) 0.7 (b) -0.5 (c) -20 (d) 0 a What is the closest to 0.2 in 2/7, -68, -2/13? 2/7 What is the nearest to 4 in 153, -228, -5, -1? -1 What is the nearest to -0.01 in 3/4, 18, 2, 3, -0.3? -0.3 What is the closest to 19 in 0, 0.14, 3/5, -1? 3/5 Which is the nearest to -52? (a) 8 (b) -38 (c) 0.2 b Which is the closest to 15.2? (a) -0.03 (b) 2/9 (c) 1.7 c What is the closest to -0.4 in -3/10, 1, -20, 4? -3/10 Which is the closest to -2? (a) -50 (b) -0.3 (c) -5 b What is the nearest to -1/4 in -0.033, -0.4, 7, 19, -1? -0.4 Which is the closest to -6/5? (a) -2 (b) -3 (c) -20 a What is the closest to -4/9 in 4, -1, 5/4, 7152? -1 Which is the closest to 0.1? (a) -1.1 (b) -4/19 (c) 2/11 c What is the nearest to 2/347 in 57, 0.5, 7/2? 0.5 What is the nearest to 1 in 4, 8/61, -6? 8/61 What is the closest to -1 in -2, -1/4, 943? -1/4 Which is the nearest to 0.21? (a) 0.1 (b) 1/4 (c) 1 (d) 1/3 (e) 0.11 b What is the nearest to 779 in 0.094, 1, -2/5? 1 Which is the nearest to -1/3? (a) 141 (b) 0.541 (c) -0.1 (d) 2/13 c What is the closest to -2/3 in 4, -2673, 1, -4, 2/9? 2/9 Which is the nearest to -94? (a) -4 (b) 0 (c) -3.5 (d) 4 a What is the nearest to 0 in 14/3, 0, -1.5, 3/5? 0 What is the nearest to -13 in 0.761, 0.3, 1/3, 1/4, 1? 1/4 Which is the nearest to -26? (a) 0.006 (b) -2 (c) 2/23 b Which is the closest to -3? (a) -6 (b) -109 (c) 2 (d) -5 d Which is the nearest to -72? (a) 2/237 (b) -3 (c) -4 (d) 2/7 (e) 0.5 c What is the closest to 1/4 in -0.1, -11/10, 6, 4? -0.1 What is the closest to 0 in -2209/2, 0, 5? 0 Which is the nearest to -1/5? (a) 0.24 (b) 0.251 (c) -1/4 (d) -0.5 c Which is the nearest to -13/11? (a) -6/7 (b) -779 (c) -0.5 a Which is the closest to 2/3? (a) -2/13 (b) -3.62 (c) 5 a What is the nearest to 96 in 6, 85, -0.3? 85 Which is the closest to -10? (a) 1349 (b) -0.5 (c) 0 b What is the closest to -1 in -0.3, -30, 0? -0.3 Which is the nearest to 1/4? (a) 1/3 (b) 2.1 (c) -2/5 a What is the closest to -1/4 in -114, -0.01, -5, -18/11? -0.01 Which is the closest to -3/2? (a) 0.5 (b) -33 (c) -13 (d) 0.3 d What is the closest to 1/5 in -26, 1.9, 1, -0.3? -0.3 Which is the nearest to -6/151? (a) 5 (b) 3 (c) -26 (d) -3 (e) -1/6 e Which is the nearest to -1/2? (a) -0.4 (b) 1/16 (c) 1/5 (d) -1/2 (e) 29 d What is the closest to 4 in 5, -0.04, 1187/6? 5 What is the closest to -0.1 in 115, 0.3, -4, 1, 9? 0.3 Which is the nearest to 0.2? (a) -1 (b) 261 (c) 0.04 c Which is the closest to -36? (a) 0.4 (b) -386 (c) -2/17 c What is the nearest to -0.2 in -14, -69, -3, 5? -3 Which is the closest to 0.1? (a) 1 (b) -3 (c) 6 (d) 0.04 d What is the nearest to -4 in -3, 1, 302/7? -3 Which is the nearest to -0.15? (a) -13/3 (b) -11 (c) -0.4 (d) 0 d What is the nearest to 0 in -98, -2/39, -0.3, -0.09? -2/39 What is the nearest to 0.117 in -4, 3/5, -361, -4/7? 3/5 Which is the nearest to -0.5? (a) 0.4 (b) 261 (c) 5/4 a Which is the nearest to -2? (a) -0.8 (b) -27 (c) 1 a Which is the nearest to -0.077? (a) -4 (b) 1/3 (c) 0.017 c Which is the nearest to 0.1? (a) -4 (b) -441 (c) 18 (d) -1/4 d What is the closest to 1088 in -3/4, -0.5, -4? -0.5 Which is the closest to -0.07? (a) 0.3 (b) -5 (c) 44/7 (d) 6 a What is the nearest to 12 in 0.32, 0.5, 2/55, -1/3? 0.5 Which is the closest to -1.797? (a) -14 (b) -1/3 (c) -2/17 b Which is the nearest to 1? (a) 1 (b) 2/81 (c) -5 (d) -13 a What is the nearest to 2 in -3, 1893.3, 2/3, -1? 2/3 Which is the nearest to -1? (a) 4387 (b) -1/2 (c) 3/7 (d) -3/5 d What is the nearest to 1 in -49/6, -5, 107? -5 What is the nearest to -85 in -335, 0.6, -2/3? -2/3 What is the nearest to 4.25 in -6/5, -0.01, 4, -2? 4 What is the nearest to 1 in 130, 83, 7, -2/11? -2/11 Which is the nearest to 0? (a) -0.5 (b) -4 (c) -3/7 (d) 27.84 c Which is the closest to 0.1? (a) 0 (b) -86 (c) -349 a Which is the nearest to 1/4? (a) 0.050974 (b) 1/4 (c) -4/11 b What is the nearest to 2/7 in -4, 0.5, 2, -2/487, -
{ "pile_set_name": "DM Mathematics" }
) + 0 + 0 - 2*o. 60*o Expand (-7 - b + 7)*(-7*b + 21*b + 13*b). -27*b**2 Expand (-4 + 4 + 2*g)*(-295*g**3 + 29*g**3 - 361*g**3). -1254*g**4 Expand v**3 + 2*v**3 - 2*v**3 + (v**2 + 0*v**2 + v**2)*(v + 0*v + v) + (-v - 2 + 2)*(-80 - 58*v**2 + 80 + (3*v - 7*v + 3*v)*(3 - 3 - 2*v)). 61*v**3 Expand (1 - 5 + 0 + (1 - 4 + 2)*(-2 - 3 + 3) + 4 + 0 - 3 - 1 + 2 + 0 + 0 + 2 + 0)*(0*s**3 - s**3 + 3*s**3) + (6*s**2 - 15*s**2 + 5*s**2)*(4*s - s + 0*s). -8*s**3 Expand (0*t**2 - 2*t**2 - t**2)*(7*t**2 + 56*t - 119*t - 1 + 62*t). -21*t**4 + 3*t**3 + 3*t**2 Expand (31*a**4 + 8*a**4 - 6*a**4)*(-2*a - 2*a + 5*a) + (0*a + 2*a - 4*a)*(a**4 + 4*a - 4*a). 31*a**5 Expand 3*f - 3*f - f**4 + (-f**2 + 2*f**2 - 2*f**2)*(-380 + 380 - 39*f**2). 38*f**4 Expand (-89 + 89 + 6*o)*(-2 + 1 + 5)*(0 - o + 0)*(0*o + o - 3*o). 48*o**3 Expand (-2*s - s + 4*s + 0*s + s + 0*s + (-2*s + 2 - 2)*(0 + 2 + 0) + s - 2*s + 0*s + 4*s + 2*s - 4*s + 0*s - s - 4*s)*(2 - 3 + 4)*(1 - 1 - s**3). 18*s**4 Expand (-2*x**2 + x**2 - x**2)*(40*x - 40*x - 3*x**2) + (x**4 - 2*x**4 + 2*x**4)*(-2 + 3 - 2). 5*x**4 Expand (5*c - 3*c - 3*c + 2)*(-171*c**2 - 90*c**2 + 79*c**2). 182*c**3 - 364*c**2 Expand (-4 + 3 - 1)*(88*u - 168*u - 152*u)*(-5 + 5 + 2*u)*(-2*u + 0 + 0). -1856*u**3 Expand (-6 - 48 + 8 + 0)*(6*q**5 - 48*q**3 + 48*q**3). -276*q**5 Expand -x**2 + x**2 + 3*x**4 - 1592*x**2 + 1592*x**2 + 21*x**4 + (-3*x + 2*x + 3*x)*(6 - 2*x**3 - 6). 20*x**4 Expand (-l**4 - 5*l**4 + l**4)*(-2*l + 7*l - 17*l). 60*l**5 Expand 0*w**3 + w**3 - 2*w**3 + (0*w**2 - 2*w**2 + w**2)*(w - 6*w + 3*w) + 5*w**3 + 2 - 2 + w**3 - 21*w**3 - 26*w**3. -40*w**3 Expand (-2*k + 2*k + 5*k)*(k - 7*k - k + 3 - k - 3 + (3 - 1 + 0)*(-2*k + 0*k + k)). -50*k**2 Expand (-4 + 1 + 2)*(0*t**2 + 4*t**2 - 3*t**2) - 49*t**2 - 26*t**2 + 11*t**2 + 6*t**2 + 2. -59*t**2 + 2 Expand 447 - 36*r**5 - 447 + (-20*r**5 + 41*r - 41*r)*(-4 + 1 + 2). -16*r**5 Expand -m + 0*m + 2*m + (0*m + 2*m - 3*m)*(-4 + 4 - 1) + 2*m - 3*m + 10*m + (-5 + 4 + 2)*(2*m - 2*m + 2*m). 13*m Expand (16 + 4 - 6)*(-4*p + 0*p + 3*p)*(11 - 5*p - 11). 70*p**2 Expand (3 - l**2 - 3)*(2 - 2 - 4*l + (-2 + 7 - 3)*(0*l - 2*l + 0*l))*(26 + 19*l - 26)*(-1 - 3 - 1). -760*l**4 Expand (1 + 3*z - z + 0)*((-2*z - 3*z + 3*z)*(-z - z + z) + 3*z - 20*z**2 - 3*z). -36*z**3 - 18*z**2 Expand (4 + 0 - 1)*(-47*j - 58*j + 14*j). -273*j Expand -10*a**4 + 4*a**4 - 26*a**4 + (0*a - a + 5*a)*(3 - 3 - 2*a**3). -40*a**4 Expand -2*v + 2*v - 6*v**3 + (-v + v - 3*v)*(-3*v**2 + v**2 - v**2). 3*v**3 Expand (-2*t**3 + 3*t**3 - 2*t**3)*(2*t - 5 + 5) + 2*t**2 + 6*t**4 - 82*t**4 - 31*t**4. -109*t**4 + 2*t**2 Expand (3*n - 4*n + 3*n)*(-1 - 2 + 1) - 6*n - 21*n - 8*n + (0*n + 4*n + 2*n)*(-3 + 0 + 0). -57*n Expand (-4*g**2 + g**2 + 2*g**2)*(2*g**2 + 2 - 2)*(-87 - g + 34 + 35). 2*g**5 + 36*g**4 Expand (-3*q**3 + 7*q**3 - 3*q**3)*(q - 3*q + 3*q)*(-2*q + 3*q - 2*q). -q**5 Expand ((0 + 0 + 1)*(-4 - 3*z + 4) - 28 + 28 + 34*z)*(2*z**4 + 3*z**4 - 4*z**4). 31*z**5 Expand -3*t**3 + t**3 + t**3 + (t**2 - 4*t**2 + 4*t**2)*(138*t + 9*t - 25*t). 121*t**3 Expand (9*f**3 + 2 + 2*f - 2*f)*(-f**2 - 4*f**2 - 4*f**2). -81*f**5 - 18*f**2 Expand ((-1 - 4 + 2)*(s - 4 + 4) + s + 2*s - 2*s)*(-4*s + 3*s - 2*s)*(-3 - 3 + 4). -12*s**2 Expand (2*w - 6*w + w)*(6 - 59 - 17). 210*w Expand (f**2 + 3*f**3 - 2*f**2 - f**3)*(2*f - 4*f + 3*f) + (12*f**4 - 14*f**4 + 11*f**4)*(6 - 2 - 2). 20*f**4 - f**3 Expand (929 - 929 + 36*w)*(-3 + 3 - 2*w)*(0 - 2 + 4)*(-3 - 2 + 6). -144*w**2 Expand -12*q**2 - 3*q**3 + 12*q**2 + (-3*q + 2*q + 3*q)*(0*q**2 + q**2 - 2*q**2) + q**3 + 3*q**3 + 9*q**3 - 2*q + q**3 + 2*q. 9*q**3 Expand (2 + 4 - 5)*(-2 - 1196*b - 1114*b + 441*b). -1869*b - 2 Expand (2 + 0 - 5)*(5*y + 9*y - 5*y). -27*y Expand -3*b**4 + 0*b**4 - b**4 + 4*b**4 + 3*b**4 + 2*b**4 + (-3*b**3 + 3*b**3 - b**3)*(2*b + b - 2*b) - b**2 + b**2 - 2*b**4 + b**4 - 6*b**4 + 2*b**4. -b**4 Expand (-4*g + 3*g - g)*(1 + 4 + 0*g**2 + 7*g**2). -14*g**3 - 10*g Expand 0 - m + 0 + (-6*m - 11*m + 22*m)*(1 - 1 - 3). -16*m Expand (-12*t - 8*t + 13*t)*(-3 - 5 + 3)*(-t**3 + 3*t**2 - 3*t**2). -35*t**4 Expand (1 - 1 - 2*f**2)*(3 + 11 - 3) + (2 - 2 - 1)*(-4*f**2 - f**2 + 0*f**2). -17*f**2 Expand (0*c + 2*c + c + 2)*(-2*c + 6 - 6). -6*c**2 - 4*c Expand -2*t - 3*t + 6*t + (t + 2*t - t)*(2 - 1 + 0). 3*t Expand 19266*i**2 - 19266*i**2 - 6*i**3 - 6*i + (3*i - 2*i - 2*i)*(-4*i**2 + 2*i**2 + i**2). -5*i**3 - 6*i Expand (-7*a + 10 - 10)*(747778*a**2 - 4 - 747778*a**2 - 5*a**3 - 6*a). 35*a**4 + 42*a**2 + 28*a Expand (-7*h**2 + h**2 + 2*h**2)*(h**2 + 2*h**2 + 3*h**2) + 30*h**2 + 2*h**4 - 30*h**2. -22*h**4 Expand (c**3 - 21*c**2 + 49*c**2 - 22*c**2)*(-4 - 4 + 5)*(0*c**2 - 3*c**2 - 2*c**2). 15*c**5 + 90*c**4 Expand (-6*k**4 - 2*k**4 - k**4)*(-2 + 2 + 2*k) + (2*k + 18 - 18)*(3*k**4 + 52*k**2 - 52*k**2). -12*k**5 Expand (-98*z**2 + 154*z**2 - 46*z**2 + 2 + 5*z)*(5 - 1 - 2)*(-1 + 0 + 0). -20*z**2 - 10*z - 4 Expand (375 - 375 - 68*s)*(-7*s**2 + 5*s**2 + 11*s**2)*(s + s - 4*s). 1224*s**4 Expand (32*l**2 - 12*l**2 + 22*l**2)*(35*l**2 - 4*l**3 - 38*l**2 + 3*l**3). -42*l**5 - 126*l**4 Expand -3*z + 3*z + z + (2 - 2 - 1)*(-2*z + z + 0*z) - 2*z - 3*z + z + z + 0*z - 5*z. -6*z Expand -u**4 - u**4 + 6*u**4 + (u**2 + 0*u**2 - 4*u**2)*(u**2 + 6*u - 6*u) - 3*u**4 - 2*u**3 + 2*u**3 + 0*u**4 - 5*u**4 + 3*u**4. -4*u**4 Expand (-a**3 + 3*a**3 - 4*a**3)*(5*a**2 - a**2 - 2*a**2) + (a**2 + 0 + 0)*(-7*a**2 + 5*a**2 - 19*a**2 - a**3). -5*a**5 - 21*a**4 Expand ((0 - 2 + 4)*(-2 + 4 - 3) - 14 + 6 - 9)*(53 - h - 53). 19*h Expand (2*m + 2*m - 3*m)*(m**2 + 0*m + 0*m) - 3*m + m**3 + 3*m - 4*m**3 + 2*m**3 + m**3 + (-2 + 30 + 13)*(-4*m**3 + m - m). -163*m**3 Expand (-218*c**5 + 492*c**5 + 220*c**5)*(-3 + 1 + 0). -988*c**5 Expand (2 + 1 - 2)*(70*m + 67*m - 22*m). 115*m Expand (3*j - 3*j + j**3)*(0*j + 4*j - 5*j - 5*j**2) + 11*j**2 - 5*j**5 - 11*j**2. -10*j**5 - j**4 Expand (-2 + 2 - 2*u)*(2*u + 0 + 0) + 190*u - 92*u - 96*u - 35*u**2. -39*u**2 + 2*u Expand -3*y**4 + 7*y**4 + 9*y**4 - 3*y**4 - 2*y + 2*y + (4*y - 4*y - 2*y)*(0*y**3 + 2*y**3 - 4*y**3) + (0*y**3 - 3*y**3 + 2*y**3)*(2 - 2*y - 2). 16*y**4 Expand (6*m**4 - 10 + 10)*(40*m - 60*m - 88*m). -648*m**5 Expand (-2*v + 5*v + 2*v + (-1 - 1 - 5)*(-3*v - 2*v + 3*v))*(-8*v**3 + 2*v - 2*v). -152*v**4 Expand (6*q - 4*q + 6*q + 0 + 0 + 2*q + (3 - 3 + q)*(-1 + 0 + 2))*(2 - 6 + 2). -22*q Expand (8 - 7 + 18)*(-3*m - m + m)*(3*m**2 - m**2 - m**2). -57*m**3 Expand (-3*s + 3*s + 2*s)*(2*s - 2*s + 6*s)*(0 - 1 + 2). 12*s**2 Expand ((-2 - 1 + 2)*(3 + 2 - 2) + 1 + 3 - 2)*(3 - 9*b - 2 + 0). 9*b - 1 Expand 0*l**5 + l**5 - 8*l**5 + (-34*l**2 - 4*l**2 + 0*l**2)*(l**3 - 4*l**3 + 2*l**3) + (2 + 2*l - 2)*(-l**4 + 0*l + 0*l). 29*l**5 Expand ((2 - 7 + 26)*(0 + 1 + 0) + 0 - 1 + 2)*(-n - 1 + 1)*(6 - 1 - 4). -22*n Expand (1 - 2 - 2)*(-55*x**5 + 35*x**5 - 41*x**5). 183*x**5 Expand -2*l**4 + 2*l**4 + 1281*l**2 - 1281*l**2 + 1105*l**5 + (-l**4 + 0*l**4 + 3*l**4)*(4*l + 3*l - 6*l). 1107*l**5 Expand (11879 - 11879 + 104*f)*(-f**2 + 7*f**2 + 3*f**2). 936*f**3 Expand ((4*n**4 + 2*n**4 - 4*n**4)*(-17 + 11 + 7) + (10*n**2 - 10*n**2 + 8*n**3)*(2*n - 3*n + 0*n))*(3 - 3 + 1)*(1 + 0 - 3). 12*n**4 Expand (-k + 0 + 0)*(-4 + 1 + 1)*(-2*k**2 + 0*k**2 + 0*k**2 + (-5*k - 2*k + 4*k)*(-2*k + 3*k - 3*k)). 8*k**3 Expand (-n**2 - 15*n**4 + 3*n**2 + 14*n**4)*(31 - 121 - 133). 223*n**4 - 446*n**2 Expand (v - 2 + 2)*(-540*v + 16*v - 970*v - 157*v). -1651*v**2 Expand (22*n - 60 - 54 + 110)*(2 - 4 - 1)*(3 - n - 3). 66*n**2 - 12*n Expand ((5*i - 3*i - i)*(10 + 0 - 9)*(-3 - 3 + 2) - 2*i + 5*i - i)*(0*i**2 - 2*i**2 + 3*i**2). -2*i**3 Expand (2*s**2 - 2*s**2 + 2*s**2)*(1 - 2 - 1)*(-44 + 30 + 29). -60*s**2 Expand -3 - 2*m**4 + 5 - 5 + (4*m**3 - 4*m**3 - 13*m**3 + (-2*m + 0 + 0)*(0*m**2 - 2*m**2 + 0*m**2))*(-4*m + m + m). 16*m**4 - 3 Expand (-2*c + 2*c - 4*c)*(0*c**2 + 2*c**3 + 0*c**2 + (-3 + 3 - 2*c)*(c - c - 2*c**2) - 4*c**3 + 2*c**3 + 4*c**3) + 9*c**4 + 43*c - 43*c. -23*c**4 Expand (3*k - 4*k + 3*k)*(k - 4563 + 2377 + 2327). 2*k**2 + 282*k Expand (-y**3 + 3*y**2 - 3*y**2)*(1 - 2*y - 1) + (y**4 + 0*y**4 - 4*y**4)*(-12 - 2 + 2) + (-2*y**3 - 2 + 2)*(0*y + y - 2*y). 40*y**4 Expand 3*u**3 + u - 3*u**3 + u**4 + 5*u**4 + 5*u**4 + 2*u**4 + 147*u**2 - 2*u**4 - 147*u**2 + (-2*u**3 - 3*u**3 + 3*u**3)*(-2 - 2*u + 2). 15*u**4 + u Expand (-4 + 3 - 2)*(-5652*m - 8*m**4 + 56
{ "pile_set_name": "DM Mathematics" }
In base 13, what is -173 - 16? -189 In base 13, what is -1 - -17c3? 17c2 In base 13, what is -891 - 7? -898 In base 10, what is -7 - 44? -51 In base 10, what is -214 - -3? -211 In base 5, what is -2 + -1231? -1233 In base 11, what is 30 + 17? 47 In base 12, what is -201 + 0? -201 In base 7, what is 1 - -640? 641 In base 14, what is 202 + 0? 202 In base 9, what is 3 + -1? 2 In base 11, what is -91 - 56? -137 In base 4, what is -2 + 213032? 213030 In base 6, what is 1 + -130? -125 In base 12, what is 1 + -3a? -39 In base 10, what is -379 - 29? -408 In base 15, what is -1910 + 3? -190c In base 9, what is -803 + 20? -773 In base 7, what is 2 + -1114? -1112 In base 4, what is 2 - 10022? -10020 In base 15, what is 0 + 149? 149 In base 4, what is 1331 + 2? 1333 In base 13, what is -1 - -61? 60 In base 10, what is -763 + 1? -762 In base 4, what is -233 - -10? -223 In base 9, what is -3 - 2025? -2028 In base 4, what is 32 - -1121? 1213 In base 14, what is a + -8? 2 In base 4, what is -1 - 301? -302 In base 13, what is -4 - ca? -101 In base 2, what is -1 - 111010? -111011 In base 13, what is -1c5 + 12? -1b3 In base 15, what is -6b - -37? -34 In base 5, what is -10 - 4443? -10003 In base 4, what is -11 + 112? 101 In base 15, what is ad - 6? a7 In base 16, what is 18 + 4? 1c In base 12, what is -4 + 6? 2 In base 15, what is 16 - 2? 14 In base 3, what is -10 - 2110? -2120 In base 2, what is -1001001 + -1? -1001010 In base 11, what is 119 + 3? 121 In base 14, what is 4 - -150b? 1511 In base 8, what is -36 + 14? -22 In base 5, what is -414214 - 4? -414223 In base 10, what is 11486 + 5? 11491 In base 14, what is -332 + 2? -330 In base 10, what is 6566 - -2? 6568 In base 4, what is 2 - 322101? -322033 In base 13, what is -1b + -c? -2a In base 12, what is -3 - -725? 722 In base 13, what is 82 + -4? 7b In base 15, what is a78 - -4? a7c In base 12, what is -588 - 4? -590 In base 10, what is 359 - -5? 364 In base 12, what is -159 - 11? -16a In base 14, what is 2 + -22? -20 In base 2, what is 0 - 11111111001? -11111111001 In base 12, what is -32 + -b? -41 In base 14, what is -3 + -1b? -20 In base 3, what is 2010120 + -12? 2010101 In base 6, what is 13 + 24111? 24124 In base 13, what is -12c + -b? -13a In base 3, what is 1 - -202? 210 In base 15, what is -29b + 5? -296 In base 10, what is -1985 + 3? -1982 In base 11, what is -4 + -6a5? -6a9 In base 15, what is 3 - 1e? -1b In base 10, what is -5 - -511? 506 In base 9, what is -1 + -86? -87 In base 11, what is -6 - 106? -111 In base 12, what is 1 + -511? -510 In base 10, what is -124 + -3? -127 In base 15, what is -41 + -4? -45 In base 16, what is -1c3 - -4? -1bf In base 3, what is 2100 + 10? 2110 In base 9, what is 2 + 58? 61 In base 13, what is b + 4? 12 In base 10, what is -822 - -5? -817 In base 16, what is 3 + 66c? 66f In base 2, what is 10101110110 + -1? 10101110101 In base 14, what is -5 - -bd3? bcc In base 14, what is -1c + 14? -8 In base 13, what is -2 + 66? 64 In base 7, what is 5530 + 2? 5532 In base 14, what is 2278 - -5? 227d In base 10, what is -199 + -107? -306 In base 16, what is -7 - 28? -2f In base 9, what is -166 - -3? -163 In base 14, what is -2242 - 3? -2245 In base 3, what is 110 - 11102? -10222 In base 5, what is -13044 + -10? -13104 In base 12, what is -3 - -45? 42 In base 15, what is -9c - 10? -ac In base 14, what is 0 + 139? 139 In base 9, what is 45 + 0? 45 In base 3, what is 210120 + -20? 210100 In base 12, what is -3 + -3966? -3969 In base 16, what is ba - -1? bb In base 4, what is 123 + 2? 131 In base 12, what is 89 + 4? 91 In base 2, what is -10 + -1101? -1111 In base 7, what is -15252 + 3? -15246 In base 5, what is 0 + -1232? -1232 In base 7, what is 41 + -5? 33 In base 16, what is 3a7a + -1? 3a79 In base 11, what is -12 + 1022? 1010 In base 8, what is 2 - -17? 21 In base 12, what is -1a51 - -3? -1a4a In base 4, what is -2 + -11000? -11002 In base 5, what is -1 - -140? 134 In base 9, what is 351 + 0? 351 In base 7, what is 12 - 5? 4 In base 13, what is 18 - c? 9 In base 9, what is -113 - -124? 11 In base 3, what is 2 - -1200? 1202 In base 7, what is 20565 - 2? 20563 In base 3, what is 0 - 1022102? -1022102 In base 4, what is 0 + 21? 21 In base 14, what is 2 + 22b? 22d In base 15, what is a8 - 8? a0 In base 3, what is 11 - 100210? -100122 In base 8, what is -545 + 4? -541 In base 9, what is 38862 + 1? 38863 In base 4, what is 1 - -21332? 21333 In base 3, what is -1211022 - 0? -1211022 In base 11, what is -5 - -3a8? 3a3 In base 2, what is 11111010 - -10? 11111100 In base 15, what is -24 - -57? 33 In base 9, what is -35 + 0? -35 In base 11, what is -77 + 24? -53 In base 9, what is 382 - -1? 383 In base 5, what is -3 - -33102? 33044 In base 5, what is 142401 - -4? 142410 In base 10, what is -2114 - -5? -2109 In base 8, what is 5 - 616? -611 In base 7, what is 4246 - -11? 4260 In base 5, what is 2 - 140404? -140402 In base 10, what is -9 - 6? -15 In base 12, what is -5 - -ba? b5 In base 14, what is -13 - 100? -113 In base 3, what is 12112 - -1? 12120 In base 12, what is 4 + -168? -164 In base 13, what is 3a + -b? 2c In base 13, what is -5c3 - 2? -5c5 In base 3, what is 12 + 10101? 10120 In base 10, what is -8 - -10? 2 In base 8, what is -3 + -105? -110 In base 11, what is 42 + -3? 3a In base 5, what is -21211 - -3? -21203 In base 14, what is 17 + 10? 27 In base 12, what is -4 + -51? -55 In base 7, what is 11 - 353? -342 In base 16, what is 13 + 2? 15 In base 4, what is -3120 + 20? -3100 In base 6, what is -1054 - -1? -1053 In base 11, what is -2a0 + 0? -2a0 In base 9, what is -466 + -4? -471 In base 10, what is 1 + -63? -62 In base 9, what is 210 - 35? 164 In base 16, what is -741 + -3? -744 In base 7, what is -204 + 3? -201 In base 9, what is 1 + -7374? -7373 In base 5, what is -240 - 1? -241 In base 10, what is -13 + -2? -15 In base 8, what is -41 + -17? -60 In base 3, what is -2 + -1210? -1212 In base 15, what is 3 + 20? 23 In base 10, what is -2 - 190? -192 In base 5, what is -1004 - 32? -1041 In base 14, what is 0 - 2? -2 In base 9, what is -7120 + -5? -7125 In base 9, what is 102 - 206? -104 In base 11, what is -289 - 6? -294 In base 15, what is 2 + -10? -d In base 10, what is -9858 - -5? -9853 In base 13, what is -50 + -4? -54 In base 3, what is -101 + -21? -122 In base 16, what is 5 - 1? 4 In base 3, what is 20 + 12002211? 12010001 In base 12, what is -1 + -b? -10 In base 6, what is -40424 - 3? -40431 In base 12, what is -6 + 1? -5 In base 7, what is -15 + -444? -462 In base 9, what is -1106 + -3? -1110 In base 9, what is 851 + 3? 854 In base 15, what is -30 - -1? -2e In base 12, what is -529 - -4? -525 In base 10, what is -5 - 21? -26 In base 11, what is 2 - 38? -36 In base 10, what is 1158 - -3? 1161 In base 4, what is -3 + -110011? -110020 In base 13, what is -4 + -5? -9 In base 13, what is 14 + -11? 3 In base 12, what is 2b - -79? a8 In base 5, what is 230140 - -10? 230200 In base 8, what is -2 - 134? -136 In base 6, what is -11 - 11445? -11500 In base 14, what is -627 + 4? -623 In base 8, what is -230 + -55? -305 In base 3, what is -201001100 + 11? -201001012 In base 12, what is -4 - -68? 64 In base 10, what is 11790 + 0? 11790 In base 8, what is -3 + -101? -104 In base 13, what is 912 - 5? 90a In base 8, what is -4 + -2263? -2267 In base 3, what is 12 + -200221? -200202 In base 4, what is -122 - 0? -122 In base 14, what is -2 - 4c6? -4c8 In base 12, what is 30 - 2? 2a In base 13, what is -1 + 2400? 23cc In base 12, what is 5 - 36? -31 In base 7, what is 52 - -2? 54 In base 2, what is 11 + -10000110011? -10000110000 In base 3, what is 12 - 20? -1 In base 8, what is 127 - 3? 124 In base 8, what is 17 + -155? -136 In base 10, what is 4 + -158? -154 In base 7, what is -244 + 3? -241 In base 15, what is 10e - 13? eb In base 16, what is 2 + 46? 48 In base 15, what is 2 - -e5? e7 In base 8, what is -203 - -2? -201 In base 8, what is 65 + -21? 44 In base 6, what is -2 + 53? 51 In base 4, what is 0 - 30022? -30022 In base 15, what is -7 + 913? 90b In base 16, what is 6 - -7ff? 805 In base 3, what is 2 - -1102000? 1102002 In base 9, what is 184 + -2? 182 In base 9, what is -21 + 35? 14 In base 7, what is -5 - 2012? -2020 In base 12, what is 2 - -9? b In base 12, what is 5 - 5a8? -5a
{ "pile_set_name": "DM Mathematics" }
ose 4350 - 14790 = 6*u. Let b = -1095 - u. Is (6/9)/(5/b) a multiple of 17? False Suppose 0 = 4*q - 42 + 22. Let a(o) = -o**3 + 8*o**2 - 6*o + 6. Is 17 a factor of a(q)? True Does 3 divide (-60)/40 - (894/4)/(-1)? True Suppose v = z + 102, 3*v + 2*z - 349 + 28 = 0. Suppose -v = -4*r - 1. Is r a multiple of 26? True Let r = -57 + 61. Suppose r*x - 3*x - 3 = 0, -h - 2*x + 51 = 0. Is h a multiple of 3? True Let j be (4 - 4 - 3) + 6. Is 18 a factor of (j + 10)*11 - -1? True Suppose x + 119 = -c + 540, 5*x + 403 = c. Is 11 a factor of c? True Is 17 a factor of (-10)/(-20) - (-5946)/4? False Let k be (-56370)/(-45) + (-1)/(-3). Let v = k - 794. Suppose 3*w + w = m + v, -5*m = 3*w - 373. Is 29 a factor of w? True Let f(z) = 17 - 9*z**2 + 0*z**3 + 10*z - z**3 - 31 + 32. Is f(-10) a multiple of 9? True Suppose 295 = -0*w + 5*w - a, 3*w - 5*a = 199. Is 8 a factor of 3 + 1 + w + 3? False Let v = -55 + 59. Suppose -v*r - 5*b = -9*r + 250, -2*r + 5*b = -106. Does 12 divide r? True Suppose -363 - 293 = -8*q. Suppose -149 = -2*z - 3*r, 0 = -4*z + r - q + 415. Does 7 divide z? False Suppose -2*q - 2*q = 0. Suppose 0 = 4*k - 3*k + 4*f - 131, f + 4 = q. Suppose -2*i = -h + i + 45, k = 3*h + 3*i. Is 11 a factor of h? False Let w = -5 + 8. Suppose -w*j - 771 = -2*s - s, -2*j = 5*s + 479. Let z = j + 366. Does 13 divide z? False Suppose -3*t + 4 = -8. Suppose -562 = -5*s + 2*a, -5*s + t*a + 279 + 275 = 0. Is s a multiple of 20? False Let i be (-3)/2 - (-57)/6. Let v = -6 + i. Suppose 3*q = -v*g + g + 55, -5*q = 2*g - 93. Is 9 a factor of q? False Let j(l) = l**2 - 3*l. Let f be j(0). Suppose 4*z - 3*d - 392 = f, 0*z + 2*z - 174 = -4*d. Does 19 divide z? True Let k = 339 + -141. Is k even? True Suppose -12 = -c + 5*m, 5*c - 2*m = 102 + 50. Is 3 a factor of c? False Let d = 419 + -251. Is d a multiple of 11? False Does 39 divide 174140/55 - (-18)/(-99)? False Let o(s) be the first derivative of -s**3/3 + 7*s**2 + 16*s + 1. Let z = 746 + -734. Is 8 a factor of o(z)? True Does 26 divide (265/1)/(9/45)? False Let s(q) = -q**2 - 3*q + 9. Let a be (6 + -7)/((-1)/(-4)). Let j be s(a). Suppose 413 = 5*x - 2*g, 0*x - 244 = -3*x + j*g. Is 16 a factor of x? False Suppose 46 + 33 = 4*m - 5*g, 2*m - 23 = -3*g. Suppose -m = -4*n, 0 = -2*t - n + 73 + 39. Let d = t + 21. Is d a multiple of 25? True Suppose -2*x - 122 = -3*i + 139, x - 435 = -5*i. Does 29 divide (4/((-12)/i))/(-1 + 0)? True Let x(u) = u**2 - 10*u + 3. Let m be x(10). Suppose -k + 4*v - 9 = 0, k = -m*v + 8 + 4. Suppose -82 = -k*n - 10. Is n a multiple of 16? False Let o(u) = -u**3 + 14*u**2 + 11*u - 4. Let z = -14 - -28. Is 19 a factor of o(z)? False Let h(m) = -m**2 + 6*m + 24. Let t be h(12). Let q = t - -111. Is q a multiple of 21? True Suppose u + 5655 = 6*u. Is 87 a factor of u? True Let l = 1035 - -1583. Is l a multiple of 77? True Suppose -1770 = 5*t - 5*g, 3*g + 1371 = -4*t - 2*g. Let q(k) = -92*k + 221. Let a be q(5). Let m = a - t. Is 22 a factor of m? True Suppose 4*i = 196 + 728. Is 38 a factor of i? False Let h(s) = -2*s**3 - 22*s**2 - 15*s - 20. Let n(t) = 2*t**3 + 23*t**2 + 16*t + 19. Let v(y) = 5*h(y) + 6*n(y). Does 14 divide v(-13)? False Let d(k) = 20 + 2*k - 15 + 3*k. Let h = -1 - -7. Is d(h) a multiple of 8? False Let x(b) be the second derivative of -3*b**3/2 - b**2/2 - 7*b. Let g(l) = l**2 + 7*l + 5. Let c be g(-6). Is x(c) a multiple of 4? True Let u(j) = j**2 + 3*j + 707. Let l be u(0). Suppose -l = 6*a - 13*a. Does 25 divide a? False Suppose -4*j = -2*d - 5*j + 24, 0 = -4*d + 3*j + 58. Suppose 12*g + 184 = d*g. Is 33 a factor of g? False Let b = -736 + 1796. Does 16 divide b? False Suppose 0 = -5*b - 522 - 468. Let c = b - -304. Is 31 a factor of c? False Let d(m) = -36*m - 120. Is d(-11) a multiple of 14? False Let g = 888 + -468. Suppose -3*m - g = -8*m. Does 21 divide m? True Suppose 4*o = 3*o. Let b = o - -18. Suppose b = j + j. Does 3 divide j? True Let x be -5 + 5 - -4 - 1. Suppose 3*q = -x, 2*d + 3*q = q + 98. Does 25 divide d? True Let w = -139 - 105. Let x be (-16)/(-12) - w/6. Suppose 4*u - 56 = -g, 0 = -2*u - u + 3*g + x. Is 14 a factor of u? True Is 20 a factor of (-7)/(-28)*6316 - (-3 + 0)? False Let c(x) = -37*x - 2. Let p be c(-2). Let y = p - 28. Is 44 a factor of y? True Let c(k) = -k**2 + 8*k + 16. Let b be c(12). Let l = 22 - b. Does 7 divide l? False Let v = -2494 - -5230. Does 16 divide v? True Let p(n) be the second derivative of n**3/3 - 6*n**2 - 3*n. Let w be p(10). Let t = w - -4. Does 6 divide t? True Let k be 14/(-28) + 30/4. Suppose -169 + 15 = k*m. Let p = 3 - m. Does 22 divide p? False Let b(j) = 38*j - 104. Is 12 a factor of b(4)? True Let f(w) = -4*w - 4. Let r be f(7). Let s = r - 61. Let c = 137 + s. Does 12 divide c? False Suppose 2*r = 3*x + 450, 134 = 2*r - 5*x - 320. Is 11 a factor of r/4 - 2/(-4)? False Let f(y) = -y + 1. Let q(t) = -22*t - 6. Let k(z) = f(z) - q(z). Is k(3) a multiple of 10? True Suppose 1542 = l + 3*x, 61*x - 4618 = -3*l + 60*x. Is l a multiple of 57? True Let p = 791 + -403. Suppose -5*a + 651 = -z, 5*z = -3*a + 3*z + p. Is 13 a factor of a? True Let l(c) = 3*c**2 + 8*c - 7. Let z be l(5). Let s = 268 - z. Does 12 divide s? False Let n be 76 - (8 - (2 - -2)). Suppose 4*k - n = -u, -3*u = -2*u + 5*k - 73. Does 9 divide u? False Suppose -4*t - 5*a + 55 = 0, 5*a + 39 - 4 = 2*t. Does 3 divide t? True Let s be 0 - 17*-4 - 3. Let w = s - 34. Is 20 a factor of w? False Let w = 1 + 7. Suppose -4*b - 5*c = -b - w, -4*c + 16 = 4*b. Is b a multiple of 3? True Let o(z) = -3*z**3 + z**2 - z + 10. Let q(g) = -2*g**3 + 2*g**2 - g + 11. Let r(t) = 3*o(t) - 4*q(t). Is r(-6) a multiple of 4? True Suppose -4*z = t - 3*z - 1462, -1456 = -t - 4*z. Is t a multiple of 24? True Suppose -4*r + 4*a = -2*r - 42, r - 29 = -2*a. Let q be (-155)/r - (-1)/5. Let w = q - -19. Does 13 divide w? True Suppose 3*t + 4*t + 504 = 0. Is (-54)/t - (-45)/4 a multiple of 3? True Suppose 4*m - 2 = 2*q, 4*m = -3*q + m + 24. Suppose -9 = -q*r - 4. Let z(p) = 26*p**2 - 2. Is 12 a factor of z(r)? True Suppose 0 = n - 4*w - 23, 5*n = -3*w + 82 - 13. Is 2 a factor of (1 - n/4)*(-26 - -22)? False Suppose -20 = 4*u, 5*k = -4*u + 4719 + 981. Is k a multiple of 25? False Let s(u) be the third derivative of 19*u**8/6720 - u**7/5040 - u**6/720 - u**5/60 - 6*u**2. Let h(g) be the third derivative of s(g). Is 19 a factor of h(-1)? True Suppose 3*p + 4*v = p + 1488, -4*p - 5*v = -2967. Suppose 182 = 10*y - p. Is y a multiple of 23? True Suppose -5 - 15 = -5*f. Suppose -52 = -f*a - 3*z, 3*a - 5*z + 10*z = 50. Does 7 divide (104/a)/(8/20)? False Let r be (-4)/(-6) - 14/(-6). Suppose 2 = -r*x - 7. Let v = 5 + x. Is v even? True Let r = -8 - -17. Suppose -4*p = -q - r*p + 10, 6 = -4*q + 3*p. Suppose q = -t + 4*t - 27. Does 9 divide t? True Suppose 4*b - 3*a = -0*a + 37, -5*a = -4*b + 43. Is 4 a factor of (4 - b) + (-86)/(-2)? True Is 71 a factor of -3 - -648 - (-1 + 7)? True Let n(c) = 4*c - 14. Let t be n(5). Is 8 a factor of (t - 9) + 4*17? False Let w(d) = d**3 + 3*d**2 - 5*d - 2. Suppose 6*u = 3*u - 12. Let g be w(u). Is 9 a factor of g/(4/(69 - -3))? True Let w = 23 - 81. Let o = w + 181. Is o a multiple of 12? False Let j = -36 + 40. Suppose 3*u - 4*w - 181 = 0, -5*u + 4*u - j*w = -55. Does 13 divide u? False Suppose 0 = 4*n + 16, -52 = -4*z + 2*n + 2*n. Does 4 divide z - (8 - (0 + 4))? False Let x be (-1 - 5)*(-3)/9. Suppose x*w + r = 108, -3*r - 69 = -4*w + 127. Is w a multiple of 5? False Suppose -m + 38 + 50 = 0. Suppose 6*r - m = 2*r. Does 19 divide r? False Let m(t) = 24*t - 150. Is 18 a factor of m(25)? True Suppose 0 = 3*h + 2*h + 45. Let i = -4 - h. Let n = 21 - i. Is 8 a factor of n? True Let v = -10 - 56. Let p be (-2)/(-11) - 6/(-22)*-41. Is 7 a factor of (-12)/v - 680/p? False Suppose -4*z - 8 = -4*r, 0 = -z + 3*z - r. Suppose -5*u = 3*q - 327, 8*q - 3*q + 137 = z*u. Does 5 divide u? False Is 84 a factor of 204/(-357) + ((-12414)/(-14))/3? False Let b(y) = -y**2 - 2*y + 3. Let g be b(3). Let f be 0 - (-4)/((-16)/g). Suppose f*t - 28 = 2*t. Is 12 a factor of t? False Is 4 a factor of (-9414)/(-21) + (-3 - 114/(-42))? True Suppose 0 = -12*d + 7437 + 17139. Is 27 a factor of d? False Let y be (4/14)/(4/28). Suppose -45 = -y*q + 3*h, 5*q - 119 = -4*h - 18. Is 21 a factor of
{ "pile_set_name": "DM Mathematics" }
4*o**3 - 1. Let u be y(-1). Let j(n) = -n**3 + 7*n**2 - 12*n - 3. Let k be j(3). Sort k, -4, u in ascending order. -4, k, u Suppose 0 = -0*m - 5*m + 5, -s - m + 1 = 0. Put s, -2, 5 in descending order. 5, s, -2 Let q = -61 - -67. Let o = -373/5 + 74. Sort q, -0.4, o in decreasing order. q, -0.4, o Let v = 271 + -276. Put -4, v, -9 in ascending order. -9, v, -4 Let s(c) = -11*c**3 + c**2 + c + 1. Let l be s(-1). Suppose 0 = -83*k - 96 + 511. Sort l, k, -4 in decreasing order. l, k, -4 Let k(u) = -2*u**2 + 16*u + 16. Let i be k(9). Let w be i/(-4)*-6 + -2. Put 0.1, -4/7, 2/3, w in descending order. 2/3, 0.1, -4/7, w Suppose 1 - 7 = 3*v. Let g(o) = 6*o + 11. Let p(h) = 7*h + 12. Let k(s) = -4*g(s) + 3*p(s). Let n be k(-7). Put n, -5, v in ascending order. -5, v, n Let y = 1403 - 1398. Sort -1, y, 2, -12 in ascending order. -12, -1, 2, y Let a = -0.2 + -0.3. Let b = 524 - 1067/2. Let j = b - -39/4. Sort a, j, 3 in decreasing order. 3, j, a Let l(s) = 4*s**2 + 105*s + 26. Let h be l(-26). Sort 2, h, -5, -3. -5, -3, h, 2 Let q = 16 + -31/2. Let j = -1974 + 1976. Sort -1, j, -3, q. -3, -1, q, j Let v = 38 + -33. Suppose -5*a = -v, -4*l + 2*a + 2 = -0*a. Put 0, -1, l in increasing order. -1, 0, l Let s(l) = l + 8. Let u be s(-12). Let k be -4 + u + (-2 - -5). Put 0, 4, -9, k in ascending order. -9, k, 0, 4 Let p be 7/(-1) + 3/3. Let h be ((-7)/(-42))/(p/(-9)). Put 0.1, h, -5 in decreasing order. h, 0.1, -5 Let f(b) = b**2 - 5*b + 1. Let i be f(5). Let s(u) = -23*u**3 - 23*u**2 - 2*u - 3. Let y be s(-1). Put y, 0, -22, i in descending order. i, 0, y, -22 Let y be 21/(-1*(1 - 0)). Let j(s) = 11*s**2 - 106*s - 41. Let w be j(10). Put w, y, 5 in descending order. 5, w, y Let a(n) = -5*n + 33. Let q be a(6). Put 5, q, 2, 1 in descending order. 5, q, 2, 1 Let c be ((-2)/16 - 62/16) + 25/6. Suppose 0 = b + 3. Put b, c, 0.5 in decreasing order. 0.5, c, b Let g = 2 - 0. Let z = -0.26 + 0.01. Let l = -0.25 - z. Sort l, g, 3 in decreasing order. 3, g, l Suppose -5*z = -4*i - 5, 3*i - 2*z + 12 = -z. Sort -14, i, -10, 5. -14, -10, i, 5 Suppose -x - 13 = 2*p - 1, 5*x = 2*p - 12. Let s be (84/63)/(p/(-6)). Let l = -16 - -11. Sort s, l, 4 in descending order. 4, s, l Suppose 11*j - 8*j = -h, h - 8 = 5*j. Sort 1/12, -0.4, -2/13, j in ascending order. j, -0.4, -2/13, 1/12 Let z be 1/(-2)*(-9 + -1). Let j = 2207 + -2210. Put 1, z, j in decreasing order. z, 1, j Let x(p) = p**3 - p**2 + p + 3. Let y be x(0). Suppose -6*g - 31 = -2*g + 3*h, -3*g - y*h - 27 = 0. Put g, 0, -1 in decreasing order. 0, -1, g Let m be 7 - ((7 - 4) + 3). Sort m, 5, 2 in descending order. 5, 2, m Let k(n) = -n**2 + 12*n - 24. Let p be k(10). Let s be p*(118/30 - 4). Sort -5, s, -4 in increasing order. -5, -4, s Let q = -5181 + 5186. Suppose 5 = -m + 4. Put 7, m, q in increasing order. m, q, 7 Let y = 0.1 + 0.1. Let j = -236/195 + 14/13. Put j, y, -2/9 in decreasing order. y, j, -2/9 Let y(c) = 2*c**2 + 1. Let h be y(1). Let q(i) = i**3 - 4*i**2 + 3*i - 1. Let a be q(h). Let k be -2*(-2)/(-8) - 1. Sort k, -2/13, a in increasing order. k, a, -2/13 Let d = -0.47 - 0.03. Let j be -5 - (-4 - 40/56). Sort 3, j, d, 4 in descending order. 4, 3, j, d Suppose 2*w - 3*u = 4*w - 19, 43 = 4*w + u. Put 0, w, 5 in ascending order. 0, 5, w Suppose -a = -0*w + w - 4, -4*w + 28 = -2*a. Let q be ((-3)/(-9)*-10)/(4/w). Put 3, 7, 5, q in decreasing order. 7, 5, 3, q Let k = 73/5 - 224/15. Put -0.5, -3/5, k, -4 in descending order. k, -0.5, -3/5, -4 Let x = -10 - -13. Suppose 0 = a + 2*p + 36, 3*a + 163 = 3*p + 28. Let r be 2/10 - a/(-10). Sort x, -5, r in increasing order. -5, r, x Let i = 61 + -65. Let x be (-1)/(-4)*2*-2. Let s be (-187)/(-33) + 2/x. Sort s, 4/7, i in increasing order. i, 4/7, s Let r be 3 - 3/((-5)/4 - -2). Put r, 11, 3 in increasing order. r, 3, 11 Let q be (-16)/9*10/(-20)*1. Sort q, 2/3, -0.5, 5. -0.5, 2/3, q, 5 Let j = -750 - -747. Sort 3, 243, j in decreasing order. 243, 3, j Let g be (-1 - 1/(-2))*4. Let u = 0 - g. Let x be -1 - (u + 0/(-3)). Sort x, 3, -1. x, -1, 3 Let m = -56 + 49. Let c be (m/35)/(1/(-25)). Let v(r) = r + 3. Let x be v(4). Sort c, x, -1 in ascending order. -1, c, x Suppose 0*u = -2*u + y + 2, -u + 7 = y. Suppose -v = 3*z + 11 - 4, -3*z - 9 = u*v. Sort -2, v, 5 in increasing order. -2, v, 5 Let p(h) = 6*h - 1. Let i be p(-1). Suppose 3*q = 0, -z + 8*q - 1 = 3*q. Let v(j) = -j. Let b be v(-4). Sort i, z, b in decreasing order. b, z, i Let t(v) = 2*v - 7. Let i be t(5). Suppose -10 = w + 3*c, 0 = 5*w + 2*c + 17 + 7. Sort 4, 1, i, w in decreasing order. 4, i, 1, w Suppose -2 = -5*l + 8. Suppose 0 = h + h - 8. Suppose h*x = -0*x. Put 1, x, l in descending order. l, 1, x Suppose 11*p + 20 + 13 = 0. Sort 221, p, 3 in increasing order. p, 3, 221 Suppose x - 9 - 4 = 0. Let k = x + -17. Let c = -0.3 + 0.4. Put c, 0.4, k in descending order. 0.4, c, k Let q = -120 - -120.07. Put q, 2, 0.3, 3 in descending order. 3, 2, 0.3, q Let j = -3 - -2.5. Let y(l) = l**3 + l**2. Let o be y(-2). Let b be (((-870)/(-40))/29)/(6/4). Put j, b, o in descending order. b, j, o Suppose -2*v + 0*v - 4*n = 6, 2*n + 6 = -2*v. Let o(m) = 2*m - 11. Let p be o(8). Put p, 3, -2, v in ascending order. v, -2, 3, p Suppose 39 - 51 = 3*g. Let f(i) = 3*i + 11. Let k be f(g). Sort -4, k, -5, -8 in decreasing order. k, -4, -5, -8 Let k = 7.4 - 8.3. Put 0.1, k, -1, 2 in decreasing order. 2, 0.1, k, -1 Suppose 0 = -3*n + 4*o + 16, 3*n + 3*o + 2*o + 20 = 0. Put n, 26, 8, 5 in increasing order. n, 5, 8, 26 Let h = -49.98 + -0.02. Let k = h - -46. Sort 7, 1, k in descending order. 7, 1, k Let h(m) = 490*m - 1960. Let y be h(4). Suppose -5*x - o - 9 = 0, 2*o = -4 - 4. Sort 5, y, -3, x in decreasing order. 5, y, x, -3 Let l be (2 - 0)*2/1. Let t = -11289 - -11294. Sort t, 2, -2, l in increasing order. -2, 2, l, t Suppose -5*c + y + y - 24 = 0, 0 = -4*y + 8. Suppose 2*v - w = 10, -2*w + 11 = 3*v + 3. Sort v, 3, c. c, 3, v Let l = 1.08 + -116.08. Let f = l + 121. Let r(w) = -w**2 - 8*w. Let s be r(-8). Put -3/5, s, f in descending order. f, s, -3/5 Let g = 6 - 14. Let d = 8.04 + g. Let k = -10.2 + 10.1. Put k, d, -0.5 in increasing order. -0.5, k, d Suppose 3*d = -3*m + 30, -4*m + 3*m + 15 = 2*d. Put d, 1, -85 in decreasing order. d, 1, -85 Let d = 2.3 - 2. Let k = -1.63 - -3.63. Let f = 3 - 3. Sort f, k, d. f, d, k Let v(l) = 2*l**2 + 18 - 22 - 2*l + 2*l. Let s = -1 + -1. Let k be v(s). Put k, -6, -1 in decreasing order. k, -1, -6 Let c = 73 - 73.1. Let p = 0.02 + 0.04. Let d = -3.94 - p. Put c, d, 0.3 in decreasing order. 0.3, c, d Let w = -96 + 93. Sort 0.05, w, -4, 1 in descending order. 1, 0.05, w, -4 Suppose 12 = -2*m + 2, -m - 21 = -4*z. Let y be 10/3 + (-2)/(-3). Let d be (-19)/y + 2/(-8). Put z, d, 3 in descending order. z, 3, d Let z be (16 + -15)/(-3 - 32/(-12)). Suppose -2*j + 32 = 2*j. Suppose -5*p = 25, j = 5*r - 4*p - 12. Sort r, z, -9 in increasing order. -9, z, r Let a = 32 - 97/3. Let k = -77.7 + 73. Let z = -0.7 - k. Sort z, -1, a in decreasing order. z, a, -1 Let d = -12 - -20. Let q be ((-5)/2)/(4/d). Let o = 1684 + -1688. Sort -12, o, q in increasing order. -12, q, o Suppose 0 = -3*m + 3*l + 15, 5*m - 3*l + l - 28 = 0. Let c = 17 - m. Let n = c + -8. Put -3, n, 4 in ascending order. -3, n, 4 Let h = 4.1 - 0.7. Let g = 1.4 - h. Let z(n) = -n - 1. Let f be z(2). Put f, -4, g in ascending order. -4, f, g Let b(x) = x**3 + 3*x**2 - 9*x + 1. Let v be b(-5). Let s = -111/160 + 3/32. Let a = -2.5 - -2. Put a, s, v in decreasing order. a, s, v Let b(x) = -x**2 - 2*x + 3. Let w be b(-3). Let u = -12 + 11.5. Sort w, 1/3, -0.1, u in descending order. 1/3, w, -0.1, u Let p = 2.1406 + -128.1506. Let f = -126 - p. Sort 1/7, 5, f in ascending order. f, 1/7, 5 Let s = -1 + 6. Let o = 1.24 - 0.94. Put s, -6, o in descending order. s, o, -6 Suppose 26*p + 26 + 32 - 188 = 0. Suppose -l = -k + 3, 5*l = -4*k + 6*k. Sort l, 18, p in decreasing order. 18, p, l Let p = -1368.2 - -1386. Put 2/11, p, 2, 0.3 in ascending order. 2/11, 0.3, 2, p Let i = 603 - 859. Let v be i/(-88) + -1*3. Sort 1/3, -0.5, v in increasing order. -0.5, v, 1/3 Let b = -16.06 + 16. Let n = b - -3.06. Let k = 4 - 3.6. Put -5, n, k in descending order. n, k, -5 Suppose -158 = -221*h + 222*h. Let v = h - -163. Let w = 0.5 + -1. Sort v, -5, w. -5, w, v
{ "pile_set_name": "DM Mathematics" }
+ 3 + 85*j as d*j + x and give x. 3 Express (2*x - 2 + 3 + 0)*(-3 + 2 - 1)*(-65*x + 27*x + 112*x) in the form f*x**2 + p + n*x and give p. 0 Rearrange 8*b**2 - b**3 - 21*b**2 + 2*b**4 + 9*b**2 to u*b**4 + v + w*b**2 + f*b**3 + g*b and give w. -4 Rearrange -2*n**2 - 7*n**2 + n**2 + 10*n + 6*n**2 to the form w*n**2 + c*n + h and give h. 0 Express 0*n**3 + 0*n**3 - n**3 + (-2*n + n + 0*n)*(n + 3*n + 0*n)*(n - 3*n + n) as y*n**2 + q*n + t + a*n**3 and give a. 3 Express -7*o**3 - o**4 + 7*o**3 + (4*o**2 + 2*o**2 - 5*o**2)*(5*o**2 + 5*o**2 - 6*o**2) in the form u*o + y*o**4 + g + i*o**2 + t*o**3 and give t. 0 Rearrange r**3 + 13*r - 2*r**4 + 17*r - 25*r - r**2 to g*r**4 + h*r + y + m*r**3 + w*r**2 and give m. 1 Express -65*p**2 - 42 + 42 as o*p + v*p**2 + d and give v. -65 Rearrange (6*f**2 + 7*f**2 + 2*f**2)*(-1 + 0 + 0)*(-f + 0*f - f) to d + p*f + g*f**3 + r*f**2 and give p. 0 Rearrange 5*j - 4*j + j**2 + j - 10*j**2 + 16*j**2 - j**2 + (3*j - 3*j + j)*(0*j - j + 0*j) to the form c*j + k*j**2 + d and give k. 5 Rearrange 2 + 2*h**3 + 0 + 3 to i + u*h**2 + v*h + s*h**3 and give s. 2 Rearrange 3*s + 1 + 2*s**3 + 4 - 5 to a*s**3 + z*s + b*s**2 + n and give b. 0 Rearrange -4*l - 8*l + l to f + u*l and give u. -11 Rearrange 28*z**2 - 2 - 12*z**2 - 12*z**2 + 31*z**2 to the form r*z**2 + l*z + h and give r. 35 Rearrange 4*f + 0*f + 2*f + (0*f - 2*f + 4*f)*(3 + 3 - 3) to g*f + k and give g. 12 Express -x**2 + 0*x**2 + x**2 - 1 + 3*x**2 in the form f*x + n + k*x**2 and give n. -1 Express (-3 + 0 + 1 - 3 + 3 - 2 + (2 + 3 - 6)*(2 - 6 + 3) - 4 + 0 + 3 + 1 + 2 - 5)*(-4*f + 0*f - 12*f) in the form p*f + j and give p. 96 Rearrange (w - w - 2*w**4)*(-1 + 0 + 8) + 0*w**4 - 3*w**4 + 4*w**4 to j*w**3 + x*w + p*w**4 + b + s*w**2 and give p. -13 Rearrange -3174*k + 3175*k + 17 + k**3 - 1 to x*k**2 + t*k**3 + a*k + u and give t. 1 Express (-3 + 6 - 2 + 3 - 3 - 1 + 2 + 1 - 5 - 3 + 5 - 1 + (-2 + 5 - 2)*(-5 + 4 + 0))*(834*r + 1 - 823*r - 4) as g + v*r and give g. 6 Express 3*a**2 - 59 - 6*a + 59 as s + w*a**2 + v*a and give w. 3 Rearrange -23*i**3 + 0*i + 5*i + 24*i**3 to the form c + l*i**3 + o*i**2 + v*i and give c. 0 Express (-h**3 + 0 + 0)*(-3*h + h + 0*h) + 34*h + 25*h**4 - 22*h**4 + 2*h**2 - 1 - 36*h as n*h**2 + o + s*h + p*h**4 + r*h**3 and give p. 5 Express -s**3 - 13*s + 23*s - 12*s - s**3 as n*s**2 + m + q*s**3 + t*s and give t. -2 Rearrange (2*k**2 + 0*k**2 + 0*k**2)*(8*k**2 + 6*k**2 - 7*k**2) + (k - k - 3*k**2)*(3 + k**2 - 3) to the form n*k**2 + m*k**3 + b + h*k + x*k**4 and give x. 11 Rearrange (y + 5*y - 4*y)*(-1 - 2 + 1) - 3 + y + 3 + 1 + y - 1 - 3*y + 2*y + 11*y to the form i*y + a and give i. 8 Rearrange 2*r**4 + 0*r**4 - 3*r - 4 + 4*r - r**2 to the form t*r**3 + g*r + k*r**2 + s*r**4 + y and give k. -1 Rearrange (-28 + 4 - 2 - 4)*(f - 3*f + f) to the form m + y*f and give y. 30 Express (3 + 1 + 18*g - 4)*(-3*g**3 + 0*g**3 - g**3) in the form h*g + o*g**3 + l*g**2 + a + p*g**4 and give p. -72 Rearrange 1 + k**4 - 5 + k**4 - 2*k to y*k**3 + q*k**2 + p*k**4 + m*k + o and give p. 2 Rearrange -3*x**2 - 3*x**2 + 11*x**3 + 2*x**2 - 14*x**3 to a + o*x + z*x**2 + w*x**3 and give o. 0 Express 3*w**2 - 7*w**2 - 2 + 3*w**2 + w**3 as n*w**3 + o*w**2 + i*w + s and give n. 1 Rearrange -5 + 50*b**2 - 55*b**2 + 2 to the form u*b**2 + s*b + y and give y. -3 Express -1 + 6*w**3 + 5 - 7*w**3 - 2*w**3 - 2*w as u*w**2 + l + s*w + t*w**3 and give s. -2 Express (-t**2 + 0*t**2 + 2*t**2)*(3*t + 2*t - 3*t)*(5 - 2 - 10) as p*t**2 + z + o*t + j*t**3 and give j. -14 Rearrange 5*g - 3*g - 4*g + g + 0*g + 7*g + (3*g + 0*g - g)*(-5 + 3 + 0) to d*g + l and give d. 2 Express -2*t - 1 + 1 - 53 - 33*t + 53 + (-2 + t + 2)*(0 + 0 + 2) + 2*t - t - 4*t as o*t + z and give o. -36 Rearrange (2*k - 4 + 4)*(-2 - 6 + 4) to l + m*k and give m. -8 Express (q + 3 - 2*q - 1)*(4 - 2 - 5) in the form d*q + o and give o. -6 Express -2 - 2*u - 3*u + 3*u - 13 as l*u + a and give l. -2 Rearrange -8*n + 3*n**2 + n - 4*n - n to the form l + t*n**2 + s*n and give s. -12 Rearrange 6*x**3 - 5*x**3 - 3*x**3 + (3*x**2 + 3*x**2 - 5*x**2)*(0*x - 2*x + x) - 2 + 2 + 4*x**3 to k*x + s*x**2 + j*x**3 + n and give j. 1 Express -19*c**2 + 2*c - 4*c**2 - c**2 + c**2 as p*c**2 + r*c + k and give r. 2 Rearrange -2 - 255*x**2 + 2*x - 4*x**4 - 3*x**3 + 255*x**2 to the form o + s*x**2 + d*x**3 + v*x + j*x**4 and give o. -2 Rearrange (-2*i + i + 2*i)*(-10*i + 1 - 1) - 3*i**2 + i**2 + 0*i**2 + 0*i**2 + 2*i**2 - 3*i**2 to the form x + l*i + c*i**2 and give l. 0 Express (-5 + 3*a**2 + 5)*(31*a**2 + 2*a**2 - 146*a**2) in the form u*a**4 + w*a**2 + h*a**3 + x + d*a and give u. -339 Rearrange -l**3 + 14 + l**2 - 5 - l**2 to the form f*l**3 + i + p*l + t*l**2 and give p. 0 Rearrange 3*y - y - 8*y - 14*y to the form u + h*y and give h. -20 Express 1 + 2*r - 28*r + 13*r in the form x + u*r and give u. -13 Express -6*d**2 - 20*d + 5*d**2 + 2*d**2 as w + t*d**2 + s*d and give s. -20 Rearrange -11*i - 1 + 0*i - 17*i to the form o*i + f and give f. -1 Rearrange -3 + 22*v - 4*v**2 - 20*v - v to g + x*v + t*v**2 and give x. 1 Rearrange 2*g - 87 + 83 + g to o + r*g and give o. -4 Rearrange -5*t**4 + t**4 - t - 3*t + 3*t**4 - 1 - t**3 to the form b + r*t**3 + z*t**4 + x*t + c*t**2 and give r. -1 Express 4*m + 6*m - 6*m - 6*m in the form a + x*m and give x. -2 Express -732 - 5*q**2 + 733 + 2*q**3 - 4*q**3 as f*q + y*q**3 + n*q**2 + k and give k. 1 Express -12*i**3 + 12*i**3 + 2*i**4 + 0*i - 2*i**4 + 0*i + (2*i**4 - 2*i**4 - 2*i**4)*(0 - 1 - 2) in the form k + p*i**2 + v*i**3 + t*i + m*i**4 and give m. 6 Express (-2 - 1 + 4 + (5 - 6 + 0)*(0 + 5 - 3))*(1 - 4 + 1)*(0*s + 3*s + 0*s)*(2 - 5 + 4) as z*s + x and give x. 0 Rearrange (1 - 1 - 1)*(5*r**4 - 137 + 137) to t*r**4 + u + f*r + i*r**3 + k*r**2 and give f. 0 Rearrange (-2548*h**3 - 1 + 2534*h**3 + 3)*(-2 - 2 + 0)*(1 - 4 + 1) to p*h**2 + j*h**3 + v + q*h and give v. 16 Rearrange -2*p**2 - 2*p**2 + 7*p**2 + p - 38*p**4 + 36*p**4 to s*p + k*p**3 + l*p**4 + w*p**2 + i and give s. 1 Express (-6 - 41*b + 6)*(3 + 0 - 4)*(-b - 2*b + 2*b) in the form z*b + y*b**2 + h and give y. -41 Express (0*p**3 + 8*p**3 + 8*p**3)*(3 + 1 - 5) in the form o*p + z*p**3 + c + d*p**2 and give z. -16 Express (3*k**2 + 11*k - 11*k)*(0 - 1 + 2) as m*k + v + q*k**2 and give m. 0 Express -2*q**2 + q**2 - 47 + 38 as b*q**2 + a*q + m and give m. -9 Rearrange (2 + 1 - 4)*(-11*t + 11*t - 9*t)*(2 + 2 - 5) to s + b*t and give b. -9 Rearrange -19 - 8*k**2 + 10*k**2 - 1 to the form l + w*k**2 + i*k and give l. -20 Rearrange -l + l**3 - l + 0*l**3 - l**2 - 3*l**3 to the form m + u*l + y*l**3 + k*l**2 and give y. -2 Rearrange -9*z**2 + 3*z**2 - 17*z**2 to the form a + c*z + x*z**2 and give x. -23 Express (-5*b + 1 - 1)*(1 - 1 + 4*b) in the form l*b + n*b**2 + z and give n. -20 Rearrange -18*q + 43*q + 0*q to c*q + w and give c. 25 Rearrange (-1 + 4 + u - 5)*((4 - 3 - 3)*(-5*u + 2*u + 5*u) + 3*u + 4*u - 6*u) to k*u + q + f*u**2 and give k. 6 Rearrange (-6*w + w + 2*w - w - 4*w + 3*w + (0 + 3 - 4)*(w + w - 3*w))*(1 + 6 - 3)*(-3*w + 3*w + 3*w**3) to t*w**2 + i*w + h + z*w**3 + b*w**4 and give z. 0 Express -532*t**3 - 2 + 4 + 0 - t**2 + 538*t**3 as a*t + b*t**2 + n*t**3 + g and give g. 2 Express (-2 + 2 - 2)*(4*p**2 + p**2 - 3*p**2)*(-10 - 3 + 7) as k*p**2 + s + h*p and give k. 24 Express -18*p - 455 + 455 in the form f + o*p and give o. -18 Rearrange (50 - 21 - 3*a - 23)*(5*a - a - a) to the form u*a**2 + t*a + c and give t. 18 Express 2 + 25*r**3 - 9*r**3 - 14*r**3 + 13*r as v*r**2 + b + g*r**3 + x*r and give b. 2 Rearrange -24*m - 2*m**4 + 12*m + 14*m + 3*m**3 + 5*m**2 + 2 to the form h*m**4 + z*m**3 + o + v*m**2 + k*m and give o. 2 Express -k + 0*k + 3 - 3 in the form h*k + b and give h. -1 Express -2*n**2 + n - 14 - n**3 + 23 - 9 as c + r*n + j*n**2 + a*n**3 and give a. -1 Rearrange -6*g - 8*g + 3*g - 6*g to i + o*g and give o. -17 Rearrange (6 - 26*g - 12*g + 43*g)*(g**2 - 3*g**2 + 3*g**2) to the form f*g + i*g**2 + t*g**3 + h and give i. 6 Rearrange -y - 138*y**3 - 2*y**2 + 19*y**4 + 137*y**3 + y to the form v + i*y**3 + q*y**2 + a*y + c*y**4 and give i. -1 Rearrange (-o**2 + 3*o**3 + o + o**2)*(-9*o + 18*o + 3 - 12*o) to the form y + x*o**2 + h*o**3 + l*o**4 + j*o and give l. -9 Rearrange -10 - 2*n**4 - n**3 + 20 + n**2 - 9 to the
{ "pile_set_name": "DM Mathematics" }
uate -5 + (-18)/(-4) + 0. -1/2 Evaluate (-24)/21 + (-10)/(-70). -1 1*-3*40/60 -2 (-52 + 52)/(1 + (1 - 1)) 0 What is 0 + (-17)/(-20) + (-6)/10? 1/4 Evaluate 36/(-63) - 64/(-14). 4 (40/(-30))/(-10*(-3)/18) -4/5 Evaluate (2 + 12/(-7))*(-259)/(-296). 1/4 Evaluate (-6)/(-4)*(-52)/(-78)*1. 1 Calculate (66/11)/(1 + 10/(-4)). -4 Evaluate 18/(-1 + 0)*128/(-256). 9 What is the value of (1*(-5 - (-21)/4))/1? 1/4 What is the value of -6 + 6*29/30? -1/5 Evaluate 8/12*(-27)/(-171). 2/19 ((-6)/(-8))/((-810)/1728) -8/5 What is 696/50 + (159 - 173)? -2/25 ((-14)/35)/(18/10) -2/9 Calculate 10/35 + ((-19)/42)/1. -1/6 What is the value of (-1 + 2)/((-24)/(-120))? 5 Calculate (5*1/10*0)/(-2). 0 Calculate (-12)/(-8)*(-16)/60. -2/5 (-8)/(-48) - (2 + 57/18) -5 Evaluate -4*(-15)/(-126) - 6/(-42). -1/3 Evaluate (-240)/(-25) - (-128)/(-80). 8 What is (-1)/2 - (-306)/476? 1/7 Calculate 18/(-81) + 750/945. 4/7 Calculate (-2)/10 - 2/4*-2. 4/5 5/2 + (-115)/(-230) 3 5/(-75)*(-90)/75 2/25 Evaluate (-10)/4*((-56)/200)/7. 1/10 What is the value of (-370)/450 + 18/30? -2/9 Evaluate 3 + -1 + 5 + -8. -1 Evaluate -3 - (63/36 - 5). 1/4 6/(-24)*-13 - 5 -7/4 Calculate (-270)/(-63) + -3 + (0 - 1). 2/7 What is the value of (-52)/13 - (-3 + -6)? 5 Calculate 10/(-4) + 4*(-5)/(-40). -2 Evaluate (3/5)/(93/155). 1 Evaluate -2*9/(-360)*-8. -2/5 What is (-4 - -3) + (4 - 2)? 1 What is 8/4 + (-9)/(135/20)? 2/3 Evaluate (15/(-10))/((-33)/(-55)). -5/2 What is 304/(-240) - (-6)/10? -2/3 Evaluate (1 - 3)*(3 + -7). 8 What is (2/(-12) - (-17)/34)*-3? -1 -2*2/(-26) + 765/(-663) -1 What is the value of (24/(-9) - -3)*3? 1 Calculate 0 - ((-48)/(-21))/4. -4/7 Calculate 2196/(-99) - -12 - -10. -2/11 Calculate 637/(-77) - (-9 + 1). -3/11 Calculate (-8)/(-6)*24/(-16). -2 -24 + 24 + 2*(1 - 0) 2 5/(-100)*-4*2 2/5 What is the value of (-22)/110*(-1 - (-128)/(-12))? 7/3 (16/2)/((-21)/(-21)) 8 Calculate (-19)/418*22/(-8). 1/8 What is the value of 2200/2805 + 6/(-51)? 2/3 Calculate 18/(7 + 18/(-2)). -9 Calculate (-24)/(-108) - (-14)/18. 1 Evaluate 18/171 - (-80)/(-38). -2 Calculate 2/(-3) + -12 + (-3443)/(-264). 3/8 (-1)/(1 + -6) - 13/390 1/6 Calculate -1 - 3 - ((-4 - -1) + -3). 2 (-2)/(-14)*(-1 + -1) -2/7 What is the value of 33/(-228) - 15/(-60)? 2/19 What is the value of 20/(-70) - 5/7? -1 Evaluate ((-36)/(-30))/(((-9)/10)/(-3)). 4 What is (-14)/(-24)*(148/28 - 5)? 1/6 Evaluate ((-36)/20)/((27/(-30))/(-3)). -6 What is (-2)/(-10)*(-270)/162? -1/3 What is 10/8 + (-13)/26? 3/4 -1*(3 + (-77)/21) 2/3 What is (5 - 4)/((-3)/(-15))? 5 Calculate (-125)/625*(-1 - 0). 1/5 Calculate 10/(-21) + (2 - 28/42). 6/7 Evaluate (((-432)/42)/(-6))/(2/(-7)). -6 Evaluate 23*10/(-150) - (-1)/5. -4/3 What is the value of (28/(-70))/(40/25)? -1/4 Evaluate 60/(-18) + (6 - 2). 2/3 Evaluate (2/(-4))/((13/10)/(-13)). 5 Calculate (-825)/(-198) - (-5)/(-3). 5/2 What is (3/(-6 + (-99)/(-12)))/4? 1/3 Evaluate ((-5)/10)/(2 - (-75)/(-24)). 4/9 Calculate (5/(-4))/(21/42). -5/2 What is (-200)/(-240) - 39/36? -1/4 Evaluate ((-6)/(-2) + -6)*(-14)/(-6). -7 What is the value of 4 + -13 - (-12 - 0)? 3 Evaluate 6*(1 - 20/25). 6/5 ((-28)/(-21) - 1) + (-7)/39 2/13 Calculate (-54)/152 + (39/12)/13. -2/19 What is (-30)/(-105) - 38/(-14)? 3 (11 - 275/22)*(-10)/15 1 What is the value of (9 + 0)*(-2)/(-9)*-1? -2 (-220)/425 - (-8)/20 -2/17 Calculate (18/12)/((-9)/4). -2/3 126/90 + 32/(-5) + -5 -10 What is the value of ((-18)/6)/6 + 3/14? -2/7 Calculate ((-33)/2)/(-11)*2. 3 Evaluate (6 - 102/18)/((-3)/63). -7 Calculate 28/21*(-3 + (-116)/(-40)). -2/15 (-481)/(-169) + 6/(-2) -2/13 (-7 - -3)/(8/10) -5 What is 3/9*(-30)/4? -5/2 What is (-4)/(-5) + 5/25? 1 What is (-2)/(2 + -6)*(-272)/204? -2/3 (-4)/54 + (-3608)/(-594) 6 Evaluate 1*-2 - 1/(50/(-160)). 6/5 Evaluate (11 - 10) + 1 + 0. 2 Calculate (-6)/(-28)*112/42. 4/7 What is 0 + (-56)/35 - -2? 2/5 Calculate (350/(-245))/(2/(-7)). 5 Evaluate (160/48)/((-35)/(-84)). 8 What is (-102)/18 + (-99)/(-18)? -1/6 1482/361 - -4*(-3)/114 4 Evaluate 5/(-1) - (12 - (-12 + 18)). -11 What is the value of (2 - (-471)/(-234)) + (-8)/(-48)? 2/13 What is 366/488*2/30*-8? -2/5 4/12*(-3)/(-4) + 0 1/4 (34/(-1071))/((-1)/(-3)) -2/21 Evaluate 4 + (-5 - -7)*-4. -4 Evaluate 8 - (4 + (4 - 4)). 4 Evaluate (-12)/(-5)*(-80)/32. -6 (-45)/(-12)*4/6 + -3 -1/2 Evaluate 3*(5 + -1 + -3). 3 Evaluate (4 + 88/(-20))*35/(-21). 2/3 Evaluate 40/15*(-3)/4. -2 What is the value of (-2)/12 - 6364/(-1032)? 6 Calculate 76/114*((-3)/6)/(-1). 1/3 What is ((-7)/70)/(1/(-8))? 4/5 What is the value of 3/(-18) + 7 + 249/(-18)? -7 What is the value of 10*3/(-36)*3? -5/2 (-10)/(-95) + (-104)/266 -2/7 Calculate 12/(-24) + (-138)/(-228). 2/19 What is the value of (2/4)/(12/(-9))? -3/8 What is the value of (-588)/(-1008) - (2/(-8) - -1)? -1/6 What is (10 + -5 - 5) + 1/2? 1/2 68/(-168) + 6/(-63) -1/2 5/5*-7 + (7 - 4) -4 (((-63)/(-12))/(-21))/((-2)/6) 3/4 What is 6/27 - (578/153)/17? 0 What is -1 + 0 - (-2)/(-8) - -1? -1/4 What is 7/(-4) - -3*8/12? 1/4 105/20*28/98 3/2 What is the value of (-9)/(-15) - (-4)/(-80)*-38? 5/2 ((-16)/28)/(-3*8/84) 2 Calculate ((-26)/(-18) - 2)*-3. 5/3 Calculate 4/(-6)*(-15)/(-65). -2/13 Calculate (2 - 52/20) + 85/125. 2/25 What is (-37)/7 + (-10)/(-35) + 0? -5 Evaluate -3 + 2/(-6) - (-4 + 2). -4/3 What is 3*((-250)/30 - -8)? -1 What is the value of 2/(32/(-92)) + 7/(-28)? -6 Evaluate 11 - (6 + (-2)/(-1)). 3 Evaluate (1/(-4))/(624/384). -2/13 What is the value of 4/10 + 68/(-70)? -4/7 What is the value of 231/245 - 2/(-14)*-1? 4/5 Evaluate 5/(-1) + (8 - (4 + 4)). -5 What is (4/4 + 1)*15/6? 5 Evaluate ((-16)/(-12))/((-16)/(-60)). 5 What is the value of (-168)/(-63)*(-3)/(-2)? 4 What is (-700)/300 - (3*-1 - 0)? 2/3 Calculate 910/(-221) - (-8)/68. -4 Evaluate 7/(-5 + 12)*(-1 + 4). 3 2*(-3)/(-18)*3 1 What is 224/(-98)*14/20? -8/5 What is the value of 14/49 - (-4)/(-7)? -2/7 Evaluate -4 + (-34)/(-8) + 17/(-36). -2/9 Evaluate ((-6)/(-72)*-3)/(4/80). -5 What is the value of ((-5)/21)/((-205)/(-82))? -2/21 What is the value of (-55)/15 - (78/18 - 4)? -4 What is the value of (-12)/(-48) - (-39)/(-108)? -1/9 456/(-42) - -3 - -7 -6/7 Calculate ((-25)/100)/(54/(-16))*-3. -2/9 Calculate (-1 + 3/6)*(-32)/(-24). -2/3 What is the value of (2/(-6))/(1060/210 - 5)? -7 Evaluate (3/9)/(3/(1*-54)). -6 Calculate ((5/3)/5)/(9/(-135)). -5 Evaluate (-1035)/315 - (-2 - -1 - 2). -2/7 What is the value of 2*(7 - 568/80)? -1/5 -1 + 4 + 2 + 2 7 Evaluate (-93)/837*(-9)/2. 1/2 Calculate (-6)/3 - (-16)/(-8). -4 Calculate 4/2*(-4 + 44/8). 3 Evaluate (-2)/(-3)*-6 + 1. -3 What is (-13)/11 - (4/(-22) - 0)? -1 (1 - 2) + (-40)/10 -5 What is ((-6)/(-5))/((144/(-60))/6)? -3 What is the value of 37/7 + 8/(-28)? 5 Evaluate (0 - (0 + 0 + -1)) + -4. -3 What is 2/7 - (-13130)/(-1414)? -9 What is the value of -4*7/70 - 6/10? -1 112/952 + 378/(-34) -11 Calculate 1 - 4 - (-3 + (-1 - -4)). -3 (-6)/(-20) + (-945)/150 + 4 -2 Calculate (4/56)/((-6)/36). -3/7 What is the value of (-16)/(-6) + 2/6? 3 Calculate ((28/21)/(2/3))/1. 2 Calculate (-35)/18 + 120/270. -3/2 What is -1 - (-9 - (-9 - -1))? 0 Calculate (-6*1/(-4))/(243/324). 2 (64 + -34)*9/30 9 What is 33852/(-4186) + (8 - 0)? -2/23 What is ((-11)/(-22))/((-1)/12)? -6 What is the value of 2/4 + -8 + (-310)/(-40)? 1/4 What is the value of (86 + -86)/((-4)/(-2))? 0 Evaluate 1*15/(9/(-3)). -5 -4*(-399)/(-1140)*(-3)/7 3/5 What is the value of ((-854)/(-1708))/(-1 - -2 - 0)? 1/2 Calculate -4 + 0 + 0/4. -4 Calculate 1 + (2 - 4) + 0. -1 Calculate ((-3)/((-3)/4))/14. 2/7 What is the value of 12/(-18)*-6 - 5? -1 ((-70)/(-45))/((-85)/(-15) + -5) 7/3 (-6)/(-4 + 2)*-1 -3 (-2537)/(-430) - 1*3/(-30) 6 What is the value of 4/(-63) - 4/(-14)? 2/9 Calculate 2/8 - (725/20)/5. -7 What is the value of 6/15*(-30)/16? -3/4 What is the value of (-596)/(-144) - 4 - (-4)/36? 1/4 ((-68)/108)/(3/(-18)) - 4 -2/9 3/(98/8*18/21) 2/7 What is the value of 297/(-66) - 1/2? -5 What is the value of (-15)/(-12) + 44/(-22)? -3/4 (-7)/35 + 32/10 3 What is the value of 4 - 111/12 - 12/(-2)? 3/4 Evaluate (81/(-24) - -3)*-8. 3 What is ((-9)/6)/(-2 + -4)? 1/4 What is ((-7)/(-294)*-4)/((-72)/(-42))? -1/18 Calculate 2/5 - (848/(-55) - -16). -2/11 What is the value of 2/((-10)/8 - (-4)/16)? -2 What is (-3)/(-21) - 39/(-21)? 2 What is the value of (-228)/152 + (-9)/(-4)? 3/4 Evaluate 24/(-
{ "pile_set_name": "DM Mathematics" }
d be z(11). Suppose -10 = 5*j - d. Give j*v(m) - o(m). m**2 Let z(o) = -3*o**3 - 41*o**2 + 12*o - 7. Let l(c) = -2*c**3 - 21*c**2 + 6*c - 4. Determine 7*l(p) - 4*z(p). -2*p**3 + 17*p**2 - 6*p Let z(w) be the first derivative of 5*w**4/24 - 5*w**3/6 + 7*w**2 + 6. Let m(s) be the second derivative of z(s). Let i(q) = 6*q - 6. Give -6*i(o) + 7*m(o). -o + 1 Let o be 6/9*(1 + -4). Let j(n) = 0*n + 26 - 8 + n - 10. Let u(p) = 1. Calculate o*j(h) + 18*u(h). -2*h + 2 Let r(j) = -13*j**2 + 5*j + 1. Let c(l) = 91*l**2 + 3*l - 7. Let w(p) = 40*p**2 + p - 3. Let g(u) = 3*c(u) - 7*w(u). Calculate 5*g(z) - 2*r(z). -9*z**2 - 2 Let q(f) = 8*f**2 + f - 3. Let k(l) = 8*l**2 + l - 4. Determine 3*k(n) - 4*q(n). -8*n**2 - n Let d(c) = -7*c**2 + 2*c + 3. Let m(l) = -12*l**2 - l + 12. Let v(z) = -13*z**2 - 2*z + 14. Let w(k) = -5*m(k) + 4*v(k). Give 4*d(a) + 3*w(a). -4*a**2 - a Let p(b) = 16*b**2 + 4*b + 2. Let u(c) = c - 39. Let m be u(41). Let x(l) = -5*l**2 - l - 1. What is m*p(j) + 7*x(j)? -3*j**2 + j - 3 Let k(s) = 9*s**3 + 11*s**2 - 6. Let m(n) = -20*n + 146. Let z be m(7). Let x(f) = 5*f**3 + 6*f**2 - 3. What is z*k(o) - 11*x(o)? -o**3 - 3 Let i(w) = -5*w + 3. Suppose 4*f + r - 10 = -2, -5*f - 5*r - 5 = 0. Let b(k) = 6*k - 64. Let m(h) = 12. Let a(x) = -b(x) - 5*m(x). Calculate f*a(u) - 4*i(u). 2*u Suppose 2*j = k - 173, -4*j - 299 = 4*k + 53. Let u = j + 84. Let q(p) = -6*p**2 + 5*p - 11. Let m(w) = -2*w**2 + 2*w - 4. Give u*q(f) + 8*m(f). 2*f**2 + f + 1 Let u be 15 - (-7)/(28/16). Suppose -2*a + 23 - u = 0. Let m(i) = -4*i**3 - 7*i**2 + 5*i - 7. Let s(o) = 2*o**3 + 3*o**2 - 2*o + 3. Calculate a*m(n) + 5*s(n). 2*n**3 + n**2 + 1 Let h(o) = -o**2. Let t(s) = -6*s**2 - s + 2. What is -3*h(c) - t(c)? 9*c**2 + c - 2 Let b(t) = 1. Let q(l) = 7. Let d(a) = -6*b(a) + q(a). Let n(h) = -8*h - 55. Let o be n(-7). Let r(j) = j + 1. Determine o*r(s) + d(s). s + 2 Let g(m) = -m**2. Let v(c) = 5*c**2 + 14*c. Give -14*g(p) - 2*v(p). 4*p**2 - 28*p Let y be (1 - 0) + -5 + -43 + -28. Let q = y + 70. Let d(g) = 9*g**2 - 7*g - 3. Let f(p) = -5*p**2 + 4*p + 2. Calculate q*f(a) - 3*d(a). -2*a**2 + a - 1 Let f(a) = -20*a**3 + 20. Let d(m) = -m**3 + 1. Give -36*d(p) + 2*f(p). -4*p**3 + 4 Suppose 8*m + 23 - 95 = 0. Suppose -2*n + m = -7. Let d(b) = b**2 + b**2 + 0*b**2. Let o(j) = 3*j**2. Give n*d(i) - 5*o(i). i**2 Let i(k) = -5*k. Let m(j) = 11*j. Let a(s) = 9*i(s) + 4*m(s). Let t(y) be the first derivative of y**2 + y**2 - 4 - 2*y + 2*y. Give -5*a(w) - t(w). w Let v(r) be the second derivative of 4*r**3/3 - 11*r**2/2 - 71*r. Let t(c) = -c + 1. What is -6*t(h) - v(h)? -2*h + 5 Let o be (2 - (-12)/(-4))*8. Let m(b) = 15*b**3 - 8*b**2 + 8*b - 8. Let k(p) = -10*p**3 + 5*p**2 - 5*p + 5. What is o*k(a) - 5*m(a)? 5*a**3 Let j(l) = -503*l**2 + 11*l + 22. Let g(a) = 251*a**2 - 6*a - 12. Give -11*g(n) - 6*j(n). 257*n**2 Let r be 1 - 0 - -1 - 19. Let x(z) = -26*z + 11. Let f(l) be the second derivative of 3*l**3/2 - 2*l**2 + l - 19. What is r*f(q) - 6*x(q)? 3*q + 2 Suppose -16*y - 349 = -141. Let l(q) = -5*q**2 - 2*q. Let k(m) = 11*m**2 + 5*m. What is y*l(a) - 6*k(a)? -a**2 - 4*a Let t(b) be the second derivative of b**3/6 + 3*b**2/2 + b. Let i(l) be the first derivative of t(l). Let h(s) = 2*s + 6 - 2*s + s. Give h(j) - 4*i(j). j + 2 Let p(h) = 3*h**3 - 5*h**2 + 5*h + 4. Let g(w) = 4*w**2 + 12*w + 11. Let c be g(-2). Let y(r) = -r**3 + 3*r**2 - 3*r - 2. Give c*p(f) + 5*y(f). 4*f**3 + 2 Let y(i) = -i - 1. Let r(c) = c**2 - 40*c - 7. What is -r(p) + 4*y(p)? -p**2 + 36*p + 3 Let l(p) be the third derivative of -13*p**4/24 + p**3 + 3*p**2 + 11*p. Let v(r) = 7*r - 3. Determine 6*l(m) + 11*v(m). -m + 3 Let t(k) = 8*k + 7*k**2 - 7*k + 10*k**2 + 9 - 22*k. Let z be (-30)/(-12)*(-8)/(-5). Let c(d) = 2 + 8*d - 3*d - z*d**2 - 4. Give -9*c(a) - 2*t(a). 2*a**2 - 3*a Let o(q) = -137*q**3 + 16*q**2 - 8*q + 9. Let g(c) = 91*c**3 - 10*c**2 + 5*c - 6. Calculate 8*g(v) + 5*o(v). 43*v**3 - 3 Let p(b) = 10*b**3 + 3*b**2 + 7*b + 6. Let u(m) = 21*m**3 + 7*m**2 + 15*m + 13. What is -13*p(z) + 6*u(z)? -4*z**3 + 3*z**2 - z Let j(h) = -3366*h + 132. Let m(p) = 127*p - 5. Give 5*j(g) + 132*m(g). -66*g Let g(l) = 4*l**2. Let d(q) = -q + 2*q**2 + q**2 + 3*q**2 - 7*q**2. Let t = -4 - -10. Suppose -1 = -5*b + t*b. Give b*g(i) - 2*d(i). -2*i**2 + 2*i Let o(d) = -d - 1. Let g = -51 - -60. Let u(a) = 2*a + 2. Let v(c) = g*o(c) + 4*u(c). Let n(b) = -12*b - 8. Calculate -n(f) + 8*v(f). 4*f Let j(z) = 11*z**2 - 8*z - 8. Let i(f) = 4*f**2 - 3*f - 3. Suppose -4*k - 2 = 2*w + 34, 4*w = 2*k + 8. Give k*i(m) + 3*j(m). m**2 Let d(s) = -s - 3. Let w(h) = 8*h**2 - 2*h - 3. What is -2*d(i) + w(i)? 8*i**2 + 3 Let i(b) = b**2 - b + 2. Let d be i(6). Let h be d/(-5) - 6/(-15). Let k be 1*(-3)/h*-2. Let w(p) = p - 1. Let q(a) = -1. Calculate k*q(m) + w(m). m Let h(x) = -x + 1. Let w(y) = 19*y**2 - 4*y + 5. Calculate -5*h(d) + w(d). 19*d**2 + d Let a(p) = -p**3 - p + 1. Let k(n) = 24*n**3 + 5*n - 5. What is -5*a(f) - k(f)? -19*f**3 Suppose -2*m + 0*m - 12 = 0. Let r(f) = -9*f - 12. Let k(o) = 4*o + 6. Let x(q) = -5*k(q) - 2*r(q). Let z(s) = 6*s + 17. Calculate m*z(u) - 17*x(u). -2*u Let m(a) be the first derivative of -8 - 3/2*a**2 + 1/4*a**4 + 1/3*a**3 - 3*a. Let s(v) = v**3 + v**2 - 2*v - 2. Calculate -4*m(n) + 6*s(n). 2*n**3 + 2*n**2 Let q(a) = 7*a**2 + a - 1. Let y(f) = f**2 - 1. Let l(k) = q(k) - 2*y(k). Let j(b) = b**2 + b. Let z be ((-3)/(-6))/(2/(-4)). Determine z*l(v) + 3*j(v). -2*v**2 + 2*v - 1 Let y = 837 + -830. Let b(t) = -2*t**3 + 7*t**2 - 3*t + 5. Let a(v) = -v**3 + 4*v**2 - 2*v + 3. Determine y*a(x) - 4*b(x). x**3 - 2*x + 1 Let x(u) = -u**3 - u**2 - 12*u + 1. Let d(f) = -f. Let c(q) = 39*d(q) - 3*x(q). Let a(w) = -3*w**3 - 4*w**2 + 4*w + 4. Let k = 6 + -9. Give k*a(l) - 4*c(l). -3*l**3 Let j(g) be the third derivative of g**6/120 - g**5/10 + g**4/3 - 2*g**3/3 - 24*g**2 - 2*g. Let o(i) = -2*i**3 + 11*i**2 - 15*i + 7. Calculate 11*j(d) + 6*o(d). -d**3 - 2*d - 2 Let v(j) = 6*j + 4. Let x be 1/(4/8) - -7. Suppose -2*g + x = -5. Let h be 8/g - (-8)/(-56). Let f(y) = y + 1. Calculate h*v(r) - 4*f(r). 2*r Let q(r) = 2*r**3 + 2*r**3 - 4*r**3 + r**3 + 1 + r + 4 - r**2. Let a be 1 + (-2 - 3)/1. Let h(b) = b**3 - b**2 + b + 4. What is a*q(m) + 5*h(m)? m**3 - m**2 + m Let l(o) = -69*o**3 - 5*o + 3. Let w(c) = 139*c**3 + 8*c - 5. Give 10*l(g) + 6*w(g). 144*g**3 - 2*g Let j(g) = -2*g - 1. Let n(u) = 5*u - 37. Let w be n(8). Suppose -5*y - 15 = 5*d, -w*y - 3*d = y + 14. Let f(a) = a**2 + 3*a + 2. Calculate y*j(h) - 3*f(h). -3*h**2 + h - 1 Let x(y) = y + 30. Let j(h) = 3*h + 59. Determine 3*j(l) - 5*x(l). 4*l + 27 Let v(d) = -d + 1. Let c be 0/2*(-3 + 4). Suppose c = -18*p - p - 57. Let b(s) = -5*s + 7. Determine p*v(t) + b(t). -2*t + 4 Let m(f) = -27*f - 5. Let p(u) = 2. Calculate m(z) + 2*p(z). -27*z - 1 Let f(m) = 1. Let t(i) = -5*i**2 + 14*i + 18. Let a(r) = 3*r**2 - 9*r - 12. Let y(h) = 8*a(h) + 5*t(h). Let z be (42/63)/(4/6). Give z*y(s) + 4*f(s). -s**2 - 2*s - 2 Let a(w) = 4*w + 98. Let n(q) = 9*q + 197. Calculate 7*a(y) - 3*n(y). y + 95 Let i(o) = -22*o**3 - 3*o**2 - 3*o - 3. Let j(s) = -65*s**3 - 8*s**2 - 8*s - 7. What is 8*i(x) - 3*j(x)? 19*x**3 - 3 Let u(z) = 2*z - 9. Let g(b) = -3*b - 5. Let a(t) = 10*t + 18. Let h(q) = 2*a(q) + 7*g(q). What is 3*h(c) + u(c)? -c - 6 Let l(r) = r - 1. Let k(c) = -4*c + 5. Let f(v) = -v + 1 - 3*v**2 - 2*v + 4*v - 5*v**2. Let w be f(1). What is w*l(x) - k(x)? -2*x + 1 Let h = -34 - -26. Let f(w) = 3*w + 1. Let k(j) = -5*j - 2. Let z(u) = -u**3 + 6*u**2 - 5. Let n be z(6). What is h*f(d) + n*k(d)? d + 2 Let u(i) = -2*i - 2. Let x(z) = 3*z + 2. Suppose l = -4*y - 24, -16 = 5*l + y + 9. Give l*u(p) - 3*x(p). -p + 2 Let u(y) = -y**3 - 6*y - 3. Let q = -57 - -44. Let b(s) = 2*s**3 + 13*s + 6. What is q*u(i) - 6*b(i)? i**3 + 3 Let o(z) = 1999*z**3. Let k(t) = 400*t**3. What is 11*k(x) - 2*o(x)? 402*x**3 Let v(s) = -7*s - 8. Let b = 17 - 12. Suppose 4*q + 19 = -b. Let h(z) = 6*z + 7. Suppose 28883*a = 28875*a - 40. Give a*v(f) + q*h(f). -f - 2 Let b(v) = -3*v - 11. Let i(r) = -10 - 376*r + 190*r + 184*r. Determine 4*b(f) - 5*i(f). -2*f + 6 Let p(j) = 5*j + 11. Let v(t) = 12*t + 24. What is 13*p(r) - 6*v(r)? -7*r - 1 Let s(g) = 542*g**3. Let u(t) = 174525*t**3. Calculate -1611*s(j) + 5*u(j). -537*j**3 Le
{ "pile_set_name": "DM Mathematics" }
Let u be (z/5 - 0) + (-8)/(-20). Calculate the remainder when (2665/(-2))/(-13) - u/(-4) is divided by 36. 30 Let b(t) = -71*t - 1391. Calculate the remainder when 1123 is divided by b(-20). 21 Let t be (0 - 0)/((-1 - -2)*2). Suppose -4*y + 21 + 51 = t. Calculate the remainder when 36 is divided by y + (-1 + 4 - (-7 + 9)). 17 Suppose -3*v = -5*y - 3589, 0 = y + v - 4*v + 725. Let q = 767 + y. What is the remainder when 507 is divided by q? 48 Suppose -8*z + 324 = -5*z - 2*d, 0 = -z + d + 108. Calculate the remainder when z is divided by 90. 18 Let b(w) = -2*w**3 + 3*w**2 + w + 1. Let l be b(3). Let i(y) = 39 - 157*y + 39*y + 116*y. Calculate the remainder when i(l) is divided by 11. 8 Let x = -1000 + 865. Let y = x + 448. Calculate the remainder when y is divided by 45. 43 Suppose 9*t = 3140 + 18874. Calculate the remainder when t is divided by 2439. 7 Suppose 954 = 44*a - 67 - 299. What is the remainder when 32 is divided by a? 2 Let q(c) = c**3 - 3*c**2 + 21*c - 142. Suppose o - z = 12 + 106, -4*o + 2*z = -464. Suppose 4*g = -38 + o. Calculate the remainder when q(6) is divided by g. 16 Let z be (4/6)/(2/96). Suppose 2*i = -m + i + z, -4*m = i - 113. Suppose -2*k + 7*k = -5*n + 5, -n + 19 = 4*k. Calculate the remainder when m is divided by k. 3 Let k = -217 + 446. Let t = k + 335. Suppose -3*x + t - 159 = 0. What is the remainder when x is divided by 6? 3 Suppose 126 + 72 = -11*f. What is the remainder when ((-6)/f)/((-2)/12) + 35 is divided by 17? 16 Suppose 4*y - 228 + 54 = -2*x, -4*y = -2*x + 198. What is the remainder when x is divided by 49? 44 Suppose -u + 4*n + 11 = 0, 0 = -4*u + 3*u - 4*n + 51. Let o(x) = -3 - u - 4*x - 8. Calculate the remainder when 27 is divided by o(-14). 13 Let y = -24851 - -25362. Calculate the remainder when y is divided by 478. 33 Suppose 2*t + t - 90 = 0. Suppose -5*j - 7*j = -96. What is the remainder when t is divided by 15/9 - j/(-6)? 0 Let b(t) = 13*t + 23. Let s(a) = 4*a + 8. Let q(f) = -6*b(f) + 17*s(f). Let v be q(-13). Suppose -v - 346 = -6*g. What is the remainder when g is divided by 20? 19 Let y(j) = -5*j + j - 11 + 6 + 3. Let w(f) = f**2 - 7*f - 3. Let x(s) = 2*w(s) - 5*y(s). Calculate the remainder when 14 is divided by x(-3). 2 What is the remainder when (-42 - -3052) + (-35)/5 is divided by 16? 11 Let k be (387/(-27) - -11)/(5/(-6)). Suppose 0*d + 5*d + 10 = 0, y - k*d - 15 = 0. What is the remainder when 125 is divided by y? 6 Let z = 2664 - 2300. Calculate the remainder when z is divided by 54. 40 Suppose 5*m - 4*j - 10 = 2*m, -3*m = 5*j - 55. Suppose m*w - 31 = 79. Calculate the remainder when 141 is divided by w. 9 Suppose 12482*h - 12488*h + 174 = 0. Calculate the remainder when 544 is divided by h. 22 Suppose -5 = -i + 4. Suppose -47*y - 132 = -508. What is the remainder when i is divided by y? 1 Let b = 386 + -378. Let c(q) = 4*q - 22. What is the remainder when c(9) is divided by b? 6 Let o = -196 - -199. Suppose 0 = -4*g + 3*t + 1401, -o*t + 563 + 1222 = 5*g. Calculate the remainder when g is divided by 17. 14 Suppose 336 = 3*r - 6*q + 2*q, -q - 461 = -4*r. Suppose -4*t + 5 = -l, l + 1 - 32 = -5*t. What is the remainder when r/(-145)*(0 - 80) is divided by l? 9 Suppose 20*q = 32*q - 168. Let k(u) = u**2 - 20*u + 112. Calculate the remainder when 106 is divided by k(q). 22 Let j = -12 - -95. What is the remainder when j is divided by 6*3 - 23/(529/(-230))? 27 Suppose 0 = -19*z + 70 - 13. Suppose -z*u + 113 = 50. Let d(j) = j**3 - 5*j**2 + 2*j - 1. Calculate the remainder when u is divided by d(5). 3 Suppose 2*b = -24*b - 1976. Let n = b + 98. Calculate the remainder when n is divided by 15. 7 Let b be ((-3*40)/(-6))/1. Suppose -2*x = a - b, 0 = x + 72*a - 77*a - 21. Calculate the remainder when 152 is divided by x. 9 Let h = -51 - -53. Let k(z) = -z**3 - 7*z**2 - 14*z + 34. Calculate the remainder when k(0) is divided by h. 0 Suppose -16*f - 646 - 1370 = -128*f. What is the remainder when 8423 is divided by f? 17 Let j = 104958 - 104910. Let q = 128 + 16. What is the remainder when q is divided by j? 0 Suppose -32*w - 16*w = 87*w - 1691145. Calculate the remainder when w is divided by 108. 107 Let y(g) = -3*g - 1. Let a(k) = -k**3 - 35*k**2 + 34*k - 70. Let c be a(-36). Suppose -78 = c*w - 8*w. Calculate the remainder when w is divided by y(-2). 3 Let t(j) = -j**3 + 3*j**2 + 3*j + 3. What is the remainder when (-17)/(629/1850) + 107 is divided by t(3)? 9 Let a = 42 + -27. Let x be a*18/75 + 4/10. Suppose d + x = -0*i + 5*i, 2*d + i - 14 = 0. What is the remainder when 9 is divided by d? 3 Calculate the remainder when 482 is divided by ((-4455)/220)/(-2*(-2)/(-48)). 239 Let n = -15601 - -75631. What is the remainder when (1 - 3/7) + n/322 is divided by 19? 16 Suppose 0 = -2*h - 47*i + 40*i + 1711, -i - 3287 = -4*h. Calculate the remainder when h is divided by 164. 4 What is the remainder when 267 is divided by (52683/136)/3 - (-2)/(-16)? 9 What is the remainder when ((-328)/(-14))/(8/56) is divided by 94? 70 Let b(z) = -2*z**2 - 34*z - 16. Let k be b(-15). Suppose -15*l + 10 = -16*l - 5*f, -f = -4*l + k. What is the remainder when 107 is divided by l? 7 Suppose u + 124 = 3*u - 2*t, 310 = 5*u + 3*t. Let m = u - 73. Let v(g) = g**2 + 7*g - 25. Calculate the remainder when 73 is divided by v(m). 16 Suppose 206*j - 98*j - 106*j = 34. Calculate the remainder when 1104 is divided by j. 16 Suppose 7*v - 367 = -325. Suppose v*u = 5*u + 10. What is the remainder when u is divided by 1? 0 Let k(n) = 4*n**3 - 224*n**2 - n + 62. Calculate the remainder when 1084 is divided by k(56). 4 Let x = -1 - -3. Suppose -4 = -2*s, -5*s + 60 = u - 9. What is the remainder when u is divided by 22 + 1/x*-4? 19 Suppose 0 = 4*m - 3*j - 53, 0*m + 2*m + 3*j - 31 = 0. Suppose 40*y = 24*y + 384. What is the remainder when y is divided by m? 10 Let z = 924 + -600. Suppose -7*k = -8*k + z. Suppose 0 = 6*q - 2*q - k. Calculate the remainder when q is divided by 14. 11 Let z be 390/12 + -1 - 1/2. Suppose -z + 127 = 2*s. Calculate the remainder when s is divided by 15. 3 Suppose 0 = o - 27 + 4. What is the remainder when (-8)/((-240)/(-18))*6550/(-30) is divided by o? 16 Calculate the remainder when 3229 is divided by 5/(-9) - -1 - 185954/(-981). 189 Suppose 51 + 357 = 5*d - 142. What is the remainder when 322 is divided by d? 102 Let w = -7938 - -8428. Calculate the remainder when w is divided by 80. 10 Suppose 3*n - 3*s + 2*s - 371 = 0, 5*s = -5*n + 645. Suppose 8*d - 2*t - 44 = 7*d, 5*t = 3*d - 126. What is the remainder when n is divided by d? 29 Let x be (27/(-6))/(1/(-2)). Let z = x - 0. Suppose 183408 = -36*b + 183660. Calculate the remainder when z is divided by b. 2 Let t(i) = -i**3 + 10*i**2 - 3*i + 18. Let n be t(10). Calculate the remainder when (-1653)/(-6) - (-6)/n is divided by 8. 3 Let x be (-33)/(-1)*((-4)/3)/(-2). Let f = x + 5. Calculate the remainder when f is divided by 11. 5 Suppose 0*y = -2*y + 4, -5*x = 5*y - 195. Suppose -391 = -x*f + 423. Calculate the remainder when 790 is divided by f. 20 Suppose -60*z = -30*z + 22*z - 4108. Calculate the remainder when 311 is divided by z. 74 Let t = 419 - 354. Suppose 56*q = t*q - 225. Let i(b) = -6*b**3 - 3*b**2 + 5*b + 4. Calculate the remainder when i(-3) is divided by q. 24 Suppose -12 = -8*z + 20. What is the remainder when 154 is divided by (-17)/z + 4 - (-49)/4? 10 Calculate the remainder when (-5)/2 + (-57638)/(-92) is divided by 341. 283 Let p = 41 + 18. Suppose -3*j + p = 2*i + 2*j, -4*j = 5*i - 122. What is the remainder when (-2)/3 + 393/9 is divided by i? 21 Let a = -2075 - -2343. Let o = 50 + -35. Calculate the remainder when a is divided by o. 13 Let k = -7622 + 7774. Calculate the remainder when k is divided by 14. 12 Suppose 2437*y - 2409*y - 3780 = 0. Calculate the remainder when 1100 is divided by y. 20 Suppose 3*j - 2*p = 7*j - 44, j - 3*p = 4. Let o = 72 + -70. Calculate the remainder when 38*((-4)/o - -3) is divided by j. 8 Let p be (-13)/((-130)/(-8))*5/(-2). Let y(m) = -p*m - 5*m + 3*m + m - 9. Calculate the remainder when 43 is divided by y(-8). 13 Let q(f) = f**3 + 7*f**2 + 5*f. Suppose -4*b + 13*b - 567 = 0. Calculate the remainder when b is divided by q(-6). 3 Let r(u) = 42*u**2 + 4*u - 24. Let l be r(3). Suppose -285 = b - l.
{ "pile_set_name": "DM Mathematics" }
y, 1, 2/13? 2/13 Let j = 4.074 - 0.074. What is the second biggest value in -5, j, 130/3? j Let f = 4/397 - 405/794. Which is the third smallest value? (a) 0.2 (b) -27 (c) f a Let z be (2/10)/((-3)/(-3)). Let m = 0.026 - -0.274. Let x be -4 + 4*(-18)/(-8). What is the biggest value in z, m, x? x Let z = -46 - -44. Let h = 2 - z. Which is the smallest value? (a) -2 (b) h (c) -5 c Let q = 199 - 195. What is the second smallest value in q, 1, 5, -0.3? 1 Let m be 40/7 - 6 - (-2)/56. Let k be (-16)/(-32)*(0 - -4). What is the third biggest value in m, k, 3/8? m Let j = -92.1 - -82. Let u = 12 + j. Let y = u - 1.5. What is the smallest value in 4/3, y, 2/3? y Let n be (-28)/126 - 266/18. Let q be (-1 - -4) + 51/n. What is the biggest value in -13, -1, q? q Let x = 0 + 11. Let b = x - 10.8. Let j = -2 - -1.6. What is the smallest value in b, 3, j? j Let u(l) = l**2 - 21*l - 49. Let g be u(23). Let w be 2/(-3) - (-30)/36. What is the second biggest value in w, -0.3, g, -2? -0.3 Let d be (-14)/(-10) + (-92)/80. Let t(o) = -o**2 - o + 12. Let h be t(0). Which is the smallest value? (a) h (b) d (c) 0.3 b Let o = 113 - 127.1. Let m = o + 14. Which is the second biggest value? (a) -0.2 (b) -1/3 (c) m a Let t = 4.1 - 2.1. Let q = t - 2.3. Which is the fourth smallest value? (a) q (b) 0.3 (c) -0.04 (d) 4 d Let j = -2.32 + -1.68. Let i = 0.2 + -1.2. Let x = i + 2. Which is the second smallest value? (a) 3 (b) x (c) j b Let i = -100.15 - -100.05. Let f be ((-12)/32)/((-45)/4). Which is the second biggest value? (a) i (b) -5 (c) f (d) 0 d Let z = 0.911 - -3.099. Let k = 0.01 - z. Let c be 1*(-14 + 5)/(-3). What is the third smallest value in k, -1/11, c? c Let o = 0 + 2. Suppose f + 17 = -5*p, f - 2*p = 9 + o. Let l be (f - (-12)/(-3))*4. Which is the second biggest value? (a) -5 (b) 4 (c) l c Let s = -718 - -716. Which is the third smallest value? (a) 2/33 (b) -6 (c) s (d) 2/19 a Let l = 0.5 + -0.4. Suppose -10*h + 2*g - 250 = -6*h, 3*g - 9 = 0. Which is the smallest value? (a) h (b) l (c) -5 a Let q be 54/7 + 89 + -97. Which is the third smallest value? (a) q (b) -2 (c) 0.04 c Let q = -155.6 - -156. Which is the second smallest value? (a) 5 (b) 1 (c) q (d) 0 c Let w = 2 - 3. Let p = -6 - -9. Let s be (40/12 + -5)/(1/p). What is the smallest value in -0.2, s, w? s Let s = -10483/23607 - 1/2623. What is the fourth smallest value in 8, -0.2, s, -1/50? 8 Let w = 2.4 - 0.4. What is the third smallest value in 0, -3, 4, w? w Let k = 0.38 - 1.78. Let x = 1.8 + k. Which is the third biggest value? (a) x (b) -3 (c) 1/2 (d) 5/3 a Let i be (-2)/5 + (-21)/(-40). Let h = -107 - -1603/15. Which is the second smallest value? (a) 3 (b) i (c) h b Let z = -187 + 190. Which is the fourth biggest value? (a) -3 (b) z (c) -12 (d) 1 c Let h = 0.37 - -0.03. Let u = -54 - -53.8. Let o = 23 - 19. Which is the biggest value? (a) h (b) o (c) u b Let y = -0.06 + 3.06. Let m = 5.04 + 1.91. Let s = m - 7. What is the biggest value in s, -1, y? y Let x = 62 - 308/5. Let r = 193 - 196. What is the third smallest value in -0.06, x, r? x Let a = -15 - -15.6. Let t = a + 4.4. Let o = -0.9 - -1. What is the second smallest value in 0.03, o, t? o Let g = -11.5 + 12. Which is the biggest value? (a) g (b) -2/25 (c) -7 a Suppose 0 = -3*a - 3*z, 5*a + z = -2*z + 6. Let x be ((-74)/12 - -6)/(a/4). Let o = 1 + -0.9. What is the second biggest value in x, o, 4? o Let r = -0.437 - -0.437. Suppose -2*c + 2 + 4 = 0. Suppose -b = 4*b + 5. What is the second biggest value in r, c, b? r Let n = -4.3 - 9. Let u = 12.8 + n. Which is the second smallest value? (a) 5 (b) 4 (c) -3 (d) u d Let o = -0.33 - -0.11. Let g = -2.78 + o. Which is the second biggest value? (a) -5 (b) g (c) -0.3 b Let y = 997.4 + -997. What is the third biggest value in -1/8, -5, y? -5 Let m = -37/91 - -9/13. Let i = 246 - 246.4. Which is the biggest value? (a) -3 (b) m (c) -2/21 (d) i b Let r be (-8730)/75 + 4/10. Let k = r - -1043/9. Let d be (42/35)/((-1)/(-5)). Which is the smallest value? (a) k (b) d (c) -2/3 c Let g = 33 + -33. Let z = -6.4 + 6.3. What is the second biggest value in g, 0.7, z? g Let j = -55 - -27. Let c = -104 - -75.5. Let w = j - c. What is the second smallest value in -4, w, 1/25? 1/25 Suppose 19*j + 18 = 13*j. Which is the third smallest value? (a) -1/4 (b) 0 (c) -1 (d) j a Let r = -256 + 258. What is the smallest value in 1.7, r, 5? 1.7 Let x(r) be the first derivative of r**2/2 + 5*r - 4. Let q be x(-7). What is the second biggest value in -1, 2/3, q? -1 Let u = -1233 - -1232. What is the fourth biggest value in 1, u, 138, 3? u Let g = -0.0956 + 3.0956. Suppose -4*r + 4 + 4 = 0, 3*m = -3*r + 18. What is the third biggest value in m, 0.2, g? 0.2 Let v = -0.898 - -0.108. Let x = v + -0.21. What is the third biggest value in x, 0.3, -0.1? x Let q = 35 - 33. Let n be q/(-10)*0 + 1. Which is the third biggest value? (a) -0.12 (b) 2/5 (c) 3 (d) n b Suppose -23 = 3*p - 65. Suppose -6*x + p = -190. Suppose -8 = -38*u + x*u. Which is the second smallest value? (a) 4 (b) u (c) -17 b Let o = -90 + 90.004. Let x = 0.004 - o. Which is the second biggest value? (a) x (b) -5 (c) 0.5 a Suppose 3*v + 13 = 46. Let l = v - -3. Let r = -11 + l. Which is the third smallest value? (a) r (b) 12 (c) 2/15 b Let v = 0.133 + -0.333. Let d = 4 - 6. Let x = 1 - d. Which is the second biggest value? (a) x (b) -4 (c) v c Let f(k) = 16*k - 78. Let j be f(5). Which is the fourth smallest value? (a) j (b) 0 (c) -9 (d) 0.4 a Let q = -8.1922 + 0.1922. What is the second biggest value in q, -0.04, 4? -0.04 Let r = -24 - -24. Let w be 11/12 + (-8)/12. Which is the third smallest value? (a) r (b) w (c) -2/17 b Let u be (-2)/4*30/(-25). Let n = -0.59 + 0.67. Which is the third biggest value? (a) u (b) -0.5 (c) n b Let o = -2722.18 - -2721. What is the second smallest value in -5, o, -2/17, 1? o Let d = 9.9891 - -0.0109. Let t = 6.83 - -0.17. Let s = t - d. Which is the smallest value? (a) 2 (b) s (c) -0.4 b Suppose -m - 2*m + 12 = 0. Suppose h = 4*h - 5*t - 25, -m*h + 35 = -5*t. Let s = h - 23. Which is the second biggest value? (a) -3 (b) 0.3 (c) s a Let f be (-11)/4*8/(-44). Let o = -0.3 + 0.1. What is the fourth smallest value in -5, o, f, 12? 12 Let d = -61 - -61. What is the smallest value in -1, d, -24.1? -24.1 Suppose 25 + 55 = -16*f. Which is the biggest value? (a) -1 (b) -0.2 (c) f (d) 0.1 d Let r = -0.411 + -4.589. Let n = -8 - -6.9. Let t = n + -2.9. Which is the smallest value? (a) t (b) r (c) 0 b Let l = -0.1052 + -0.1948. What is the third smallest value in 4, -0.9, -1, l? l Let r = 5 + -5.14. Let m = -0.36 - -0.4. Let p = m + r. Which is the biggest value? (a) -3 (b) p (c) 3/5 c Let k = 2252 - 2249.8. Which is the third biggest value? (a) k (b) 1/4 (c) 5 b Let a = -8 + 15. Let d = a + -6. Let b = -3 + 1. What is the second smallest value in d, b, 1/3? 1/3 Let p = 0.7 + -0.4. Let m = 51.5 - 37. Let i = 14 - m. Which is the biggest value? (a) i (b) p (c) 0 b Let h = -49 + 49.65. Let w = h - 16.65. What is the third smallest value in w, -2/19, 3, 5? 3 Let u = 192 + -196. Let x = 2 + -2.4. Which is the second biggest value? (a) x (b) u (c) -5 b Let u be (-35)/(((-4)/4)/(0 - -1)). Suppose -u*d = -37*d + 74. Which is the second smallest value? (a) -0.4 (b) d (c) -4 a Let a = -133 - -147. What is the second smallest value in 1, a, -0.5? 1 Let j = -1.0999 + 0.0999. Which is the biggest value? (a) 19 (b) j (c) 0.4 (d) -0.2 a Suppose 4*y = 8*r - 4*r - 8, 0 = 4*y - 2*r. Let l be -8*((-7)/y + 3). Which is the second smallest value? (a) l (b) 0.4 (c) 0.2 b Suppose -s - 282 = -7*s. Let v = 50 - s. What is the smallest value in -2, -5, v? -5 Let w = 719 + -704. Which is the fourth smallest value? (a) -4 (b) 5 (c) w (d) -23 c Let q = -34 + 33.6. Let a = 4/9 - -8/63. What is the second smallest value in -2/11, q, -2/7, a? -2/7 Let m = 0.35 - 0.05. Let q = 0.2 + m. Let a be 4/12 - (-26)/(-6) - -3. What is the second biggest value in 0.4, q, a? 0.4 Suppose 5 = y - 3*r, -2*y - 26*r - 14 = -24*r. Let o = 0 + -3. Let f be 1/o - 5/(-6). Which is the smallest value? (a) 3/4 (b) y (c) f b Let m be -4*(1/4)/((-15)/10
{ "pile_set_name": "DM Mathematics" }
4, -1, -5, -1/158? -1/158 What is the third biggest value in 0.1, -2/7, -7072, 2? -2/7 Which is the third biggest value? (a) -2/9 (b) 9473 (c) 3/11 a Which is the fifth smallest value? (a) -3/4 (b) -29 (c) 559 (d) -5 (e) -1/2 c What is the smallest value in 15/2, -25, -22.6? -25 Which is the biggest value? (a) 1 (b) 208 (c) 0.1 (d) -1/7 (e) -1 (f) -3 b What is the biggest value in -3, 0.3, -9, -4/57, -4, -2.4? 0.3 What is the biggest value in 1.5, -6/7, 6? 6 What is the fifth biggest value in 1, -3, 0.05, 0, 2166? -3 What is the third biggest value in 77256, 2, -9? -9 Which is the second biggest value? (a) 2/5 (b) -10 (c) -81 b What is the biggest value in 1/4, -2/13, 30.44? 30.44 What is the smallest value in 4, 43, 2/3? 2/3 What is the third smallest value in 2, 7, -0.23, -6, -23/5? -0.23 What is the fourth biggest value in -4/25, -0.4, -4, 2/11, 2.7, -0.2? -0.2 What is the fourth biggest value in 1, 5, -165, 11? -165 What is the second biggest value in -2, 0.6, 0.06, -3/8? 0.06 What is the third smallest value in -106, -0.4, -1/2, -1.3, 0.09? -1/2 Which is the smallest value? (a) 3/14876 (b) -5 (c) 2 (d) -0.14 (e) 0.4 b What is the second biggest value in 3, 37, 40, -0.06? 37 Which is the second smallest value? (a) 3/188 (b) -3/5 (c) -2 b What is the smallest value in 2/33, 4, -3/5, 20, -0.4, -5/9? -3/5 Which is the smallest value? (a) 576 (b) 43 (c) 1/3 c Which is the biggest value? (a) -2/65 (b) -0.2 (c) -1/3 (d) 71 (e) -2 (f) 2/9 d Which is the second smallest value? (a) -0.03 (b) 2/13 (c) 1 (d) -5 (e) -0.02 (f) -1/412 a What is the third biggest value in -4/5, -337, -5? -337 What is the fifth biggest value in -0.3, -25, 0, -1/3, 6, 4.9? -1/3 What is the second biggest value in 1, 5438, 0.4? 1 Which is the second biggest value? (a) -10 (b) 0 (c) 419 (d) 23/3 d What is the second smallest value in 4, 1/2, 187947/2? 4 Which is the biggest value? (a) 139 (b) 4/9 (c) 5 (d) -24 (e) -2 (f) 0.5 a What is the second smallest value in -42, 10.4, -1/8, 0.1? -1/8 Which is the biggest value? (a) -3/8 (b) -4/7 (c) 4.7 (d) -12 (e) 1 (f) 2/9 c What is the second biggest value in 3, 0.4, 5/216, -87, -0.2? 0.4 Which is the second biggest value? (a) 99 (b) -1.3 (c) -0.1 (d) 5 (e) 2 (f) -4 d Which is the fourth smallest value? (a) -6 (b) 3 (c) -4/3 (d) -5/2 (e) 1/7 (f) -0.2 f What is the fourth biggest value in 2, -3, 2819, -0.1? -3 Which is the third biggest value? (a) 0 (b) -5 (c) -10 (d) 665 b What is the third biggest value in 2/45, 1, 0.8? 2/45 Which is the fourth smallest value? (a) 0.419 (b) 6 (c) 6/17 (d) 6/7 b What is the biggest value in 6, 0.03, -1, -3.4, 3? 6 Which is the fourth biggest value? (a) -8 (b) -2 (c) 0 (d) -30.6 (e) 1/2 (f) -1/2 b Which is the fifth smallest value? (a) -1/6 (b) -3 (c) 8 (d) 5 (e) -1 (f) 2/3 d What is the third smallest value in 1/5, 0.0619, -2/19, -10? 0.0619 What is the fifth smallest value in -0.04, -15, -0.3, -12, -2/11? -0.04 What is the biggest value in 2, -8, -14, 5, -0.1? 5 What is the second smallest value in -2, -5/2, -43/5, 1, 1/3? -5/2 Which is the second biggest value? (a) 3.5 (b) 0.4 (c) 3 (d) -1 (e) 13633 a What is the fourth biggest value in -106/5, 0.5, -15/11, -5, -2/11, 0.3? -15/11 Which is the smallest value? (a) -4436 (b) 0.4 (c) -0.135 a What is the fifth biggest value in -0.1, 1, -1/2, 2, 1016? -1/2 What is the second biggest value in -39/70, -4, -2/5? -39/70 What is the fourth biggest value in 0.0149, 2, 0.08, -2/7, -1/9? -1/9 Which is the biggest value? (a) 1 (b) -125 (c) 3/7 (d) -25 (e) 0.3 a What is the second smallest value in -0.3, -4/7, -283? -4/7 What is the fourth smallest value in -1/17, -2, -0.4, -12? -1/17 Which is the second smallest value? (a) 0.06 (b) 78 (c) -34 a Which is the sixth biggest value? (a) -111 (b) 3 (c) 5 (d) -8/3 (e) 4/5 (f) 0.2 a What is the sixth biggest value in 3, 2, 0.08, 2/19, -2, 30? -2 Which is the second smallest value? (a) 4 (b) -4/11 (c) 5 (d) 0.5 (e) -3 b What is the smallest value in 3, 2, -1/10, -0.19, -74, -0.3? -74 Which is the fourth smallest value? (a) 95 (b) 2/3 (c) -5 (d) 0.1 (e) -2/9 b What is the second smallest value in -1/4, -5, -0.1, -7/17, 6, 0? -7/17 What is the fifth biggest value in -1/9, -5, 5, 20, -79? -79 Which is the third biggest value? (a) 9 (b) -42/5 (c) 1 (d) -1 (e) -3 d What is the second smallest value in 61.9, -5, 26? 26 What is the biggest value in 1/640, -3/4, 3, 2, 3/8, 0.2? 3 What is the second smallest value in 2, -4/23, -40.3, -4/9? -4/9 Which is the second biggest value? (a) -5/6 (b) -11 (c) -0.2 (d) 1 (e) -7/9 c What is the second smallest value in 427, 0.587, 2/7? 0.587 What is the smallest value in 1/182, -2/3431, 1? -2/3431 Which is the smallest value? (a) -5 (b) 0.3 (c) 20410 (d) 5 a Which is the third smallest value? (a) 0.6 (b) -14 (c) -1 (d) -2/7 (e) -5 (f) 1/5 c Which is the second biggest value? (a) -1 (b) -0.06 (c) -1893 a Which is the second smallest value? (a) 25 (b) -11 (c) -25 b Which is the fourth smallest value? (a) -11 (b) 5/3 (c) 28 (d) 5 (e) -1 d Which is the third smallest value? (a) -9 (b) 55/3 (c) 5 b What is the third smallest value in -9/8, -4/517, 1/9? 1/9 What is the third smallest value in -3, -1/3, -5, 0, 37168, 0.2? -1/3 What is the third smallest value in 75, 0, 3, -1/2, -3? 0 What is the biggest value in -5, -1/93, 24/11? 24/11 What is the fourth smallest value in 0.2, -0.4, 3784, -2? 3784 Which is the biggest value? (a) 0 (b) -486 (c) -13 (d) -2/3 (e) -4 a Which is the fourth biggest value? (a) -2 (b) -50 (c) 5 (d) 3 (e) 429 a Which is the fourth smallest value? (a) -1/15 (b) -0.0586 (c) 4 (d) -5 c Which is the third biggest value? (a) -29/4 (b) -1/3 (c) 8 a Which is the third biggest value? (a) -153 (b) 0.3 (c) -76 a Which is the third biggest value? (a) -0.1 (b) -0.5 (c) 8024 b What is the fourth biggest value in 4, 259, -2, 6, -2/27? -2/27 What is the biggest value in 13, 4, -0.2, 1/2219, 0? 13 Which is the sixth smallest value? (a) -0.4 (b) -5 (c) 0.2 (d) 1/3 (e) 1/6 (f) -17/4 d Which is the fifth smallest value? (a) 0 (b) 0.28 (c) 5 (d) 3 (e) 2/27 c Which is the fifth smallest value? (a) -19/6 (b) 0 (c) -15 (d) 0.1 (e) -2 (f) 0.2 d Which is the smallest value? (a) -34/9 (b) -1 (c) 0.05 (d) 0.59 (e) -3 (f) -4 f Which is the second biggest value? (a) -2/7 (b) -5/11 (c) -0.5 (d) 0.09 (e) -0.3 a What is the biggest value in -2/5, 4, 2, -8269? 4 Which is the second smallest value? (a) 7 (b) -3 (c) 21277 a Which is the second biggest value? (a) -2/3 (b) 0.19474 (c) -16 a Which is the second biggest value? (a) 1 (b) -34 (c) -0.3 (d) 3/8 (e) -7 (f) 0.3 d Which is the fourth smallest value? (a) 2 (b) -23.5 (c) 3/4 (d) -1 (e) -4 (f) -2/11 f What is the second smallest value in -1/6, 41, 1/140? 1/140 Which is the fourth biggest value? (a) -1 (b) 4 (c) 26 (d) -0.064 (e) 3 d What is the smallest value in 57, 1, -1.541, -3? -3 Which is the second smallest value? (a) -6/5 (b) -2/3 (c) -100 (d) 0.1 a Which is the fourth biggest value? (a) -1/4 (b) -0.02 (c) -1.8 (d) 2058 c Which is the biggest value? (a) -34/381 (b) -0.023 (c) 2/5 c Which is the biggest value? (a) 1505/46 (b) -3 (c) 4 a Which is the fifth biggest value? (a) 0.25 (b) -0.3 (c) 1.2 (d) 149 (e) 4 b What is the second biggest value in 47, -0.6, 116/31? 116/31 Which is the biggest value? (a) -2/17 (b) 12.9 (c) 0.54 b What is the second smallest value in -116, -63, 1? -63 Which is the smallest value? (a) -1/13 (b) -3 (c) 10 (d) 2/9 (e) -2 b What is the smallest value in 1, -2/15, 0.13, 0, 10? -2/15 Which is the third biggest value? (a) 3/5 (b) -2/9 (c) 0.1 (d) -35.98 (e) 2/9 (f) -1 c Which is the fourth smallest value? (a) -4 (b) -6 (c) -1 (d) -1.1 (e) 4 (f) 1 c What is the biggest value in 28, -0.04, -0.0213? 28 What is the third smallest value in -3, -40, 7, 0.5? 0.5 What is the third smallest value in -5, 0.046, -15? 0.046 What is the second biggest value in 0.2, 2.4, 1.297? 1.297 What is the fifth biggest value in 33, 3.4, 0.5, -0.01, 3, 1/7? 1/7 Which is the third sma
{ "pile_set_name": "DM Mathematics" }
inator of -133/626856 and 113/12? 626856 What is the smallest common multiple of 28016 and 1265208? 260632848 What is the least common multiple of 6160 and 2503200? 27535200 Calculate the lowest common multiple of 277196 and 36. 2494764 What is the common denominator of 103/18428 and -77/8296? 2248216 What is the lowest common multiple of 16775154 and 1404? 436154004 What is the lowest common multiple of 132 and 1932282? 3864564 What is the smallest common multiple of 2486055 and 392535? 7458165 Calculate the smallest common multiple of 220 and 8810. 193820 Calculate the lowest common multiple of 362428 and 7194. 118513956 What is the least common multiple of 54621000 and 624240? 109242000 Calculate the lowest common multiple of 11596 and 455018. 2638194364 Calculate the common denominator of -70/131457 and -18/3165545. 275402415 Calculate the common denominator of 5/46074 and -41/2010. 15434790 Calculate the lowest common multiple of 13490 and 441180. 31323780 Calculate the common denominator of 149/3869740 and -7/1796665. 50306620 Calculate the common denominator of 28/195 and 64/13612599. 68062995 What is the common denominator of -64/25555 and 79/3792362? 18961810 Calculate the common denominator of -65/9733512 and 11/4866756. 9733512 Calculate the common denominator of -25/559 and -81/109876. 4724668 What is the common denominator of -1/7672280 and 99/174370? 7672280 Calculate the least common multiple of 26552205 and 19080. 212417640 Find the common denominator of 39/72520 and -69/32. 290080 What is the lowest common multiple of 51624 and 17736? 38150136 What is the least common multiple of 200574 and 7229781? 159055182 What is the least common multiple of 462 and 1639946? 4919838 Calculate the lowest common multiple of 4812640 and 107425. 24063200 Calculate the lowest common multiple of 1457060 and 5245416. 26227080 Calculate the smallest common multiple of 17460 and 102773052. 513865260 What is the common denominator of -89/2896 and -1/16377604? 65510416 What is the lowest common multiple of 7 and 222960? 1560720 What is the lowest common multiple of 123660 and 31607496? 158037480 Calculate the least common multiple of 10986 and 312318. 571854258 Find the common denominator of 125/22734888 and 41/45469776. 45469776 Calculate the common denominator of -73/45851520 and -121/320. 45851520 What is the common denominator of -11/4591815 and -3/2090? 1919378670 What is the common denominator of 25/1758 and -17/80892? 23701356 Calculate the least common multiple of 537645 and 176760. 12903480 Calculate the lowest common multiple of 59490 and 4521240. 4521240 Calculate the common denominator of -91/433526 and -14/225. 97543350 What is the least common multiple of 39680 and 55606560? 444852480 Find the common denominator of 27/69008 and 103/603820. 2415280 What is the least common multiple of 20644 and 21606? 17155164 Calculate the least common multiple of 30 and 23022725. 138136350 What is the least common multiple of 2 and 188978? 188978 What is the common denominator of 19/3632657 and -27/8374? 385061642 Calculate the common denominator of 155/30397458 and 32/819. 91192374 What is the least common multiple of 736 and 29176? 2684192 Calculate the lowest common multiple of 139892 and 7544. 6435032 What is the smallest common multiple of 630211 and 287? 4411477 What is the common denominator of -99/9008 and -127/2477200? 2477200 What is the smallest common multiple of 864 and 13949760? 125547840 Calculate the common denominator of 7/324162 and 59/104328. 9076536 What is the common denominator of -115/1386814 and -73/18650? 34670350 What is the common denominator of 49/251334 and -8/27? 754002 What is the smallest common multiple of 113781 and 112415628? 112415628 Calculate the least common multiple of 4350 and 5058. 3667050 Calculate the least common multiple of 1106208 and 759. 12168288 Calculate the common denominator of -23/1959912 and -25/391546864. 3523921776 Calculate the least common multiple of 819 and 22870939. 205838451 What is the smallest common multiple of 13197216 and 2224? 13197216 Calculate the common denominator of 44/5331 and -58/3118635. 3118635 Calculate the least common multiple of 10439 and 1246. 13006994 What is the common denominator of 145/36 and 37/1357648? 12218832 What is the smallest common multiple of 990 and 156090? 468270 Calculate the smallest common multiple of 54531 and 463842. 38498886 Calculate the common denominator of -39/3807190 and 57/995. 757630810 What is the least common multiple of 154077 and 5104? 2465232 Calculate the common denominator of 43/1088 and 53/826940. 224927680 Find the common denominator of 1/43092 and -103/799596. 7196364 Calculate the least common multiple of 35993790 and 47530. 251956530 Calculate the common denominator of 75/3707914 and -13/553420. 37079140 What is the smallest common multiple of 1315821 and 231? 101318217 Calculate the common denominator of 23/12040416 and -107/434448. 84282912 What is the lowest common multiple of 32420752 and 40768? 129683008 Find the common denominator of -73/1271475 and -76/15975. 90274725 Calculate the common denominator of 129/513050 and -149/873840. 135445200 What is the lowest common multiple of 2711216 and 181504? 43379456 Find the common denominator of -50/38759379 and 63/35132. 155037516 What is the least common multiple of 328047 and 86932455? 86932455 What is the lowest common multiple of 3048 and 504204? 128067816 Calculate the common denominator of 199/426030 and -51/110. 426030 Calculate the lowest common multiple of 2278 and 2586. 2945454 What is the smallest common multiple of 44417 and 2154? 95674218 Calculate the lowest common multiple of 3970 and 10320. 4097040 Find the common denominator of -1/46 and 67/792810. 792810 What is the common denominator of -41/595 and -69/43490? 5175310 What is the least common multiple of 276 and 75264? 1731072 Calculate the smallest common multiple of 3210 and 19399100. 58197300 What is the least common multiple of 4603380 and 136630? 59843940 Calculate the lowest common multiple of 82573 and 163983. 11642793 Find the common denominator of -39/11571970 and -5/441474. 381875010 Calculate the least common multiple of 153428004 and 3201. 1687708044 What is the lowest common multiple of 60405 and 2315? 27967515 Find the common denominator of -25/456 and -43/8479092. 16958184 What is the common denominator of -81/22484 and -155/125268? 876876 What is the lowest common multiple of 6 and 57165306? 57165306 Find the common denominator of -89/3214206 and -81/16. 25713648 What is the common denominator of -23/7668 and 47/1349852? 36446004 Calculate the common denominator of -163/776130 and -38/667275. 842101050 What is the common denominator of 31/156960 and 61/3920? 7691040 Find the common denominator of 68/2431155 and -62/15. 2431155 Calculate the smallest common multiple of 405162 and 234684. 42947172 Find the common denominator of -131/128240 and 17/192360. 384720 What is the common denominator of -57/11885992 and 29/612680? 59429960 What is the lowest common multiple of 511692 and 1806? 154019292 Calculate the lowest common multiple of 4283867 and 2252. 17135468 Calculate the smallest common multiple of 216258 and 4618653. 64661142 Calculate the common denominator of -113/5449598 and -31/212322. 16348794 Calculate the least common multiple of 102 and 24001671. 48003342 Calculate the common denominator of 91/443876 and 34/13427249. 53708996 Calculate the lowest common multiple of 32372602 and 10. 161863010 Find the common denominator of -37/170 and 93/50750. 862750 Find the common denominator of -41/798 and -95/2774198. 158129286 Find the common denominator of -36/4399381 and 107/28. 17597524 Find the common denominator of 71/242380 and 79/8119730. 16239460 Calculate the lowest common multiple of 357425 and 500395. 2501975 Calculate the smallest common multiple of 14300 and 268125. 1072500 Calculate the least common multiple of 1072400 and 1290. 138339600 Calculate the common denominator of -61/173808 and 23/2658528. 188755488 What is the smallest common multiple of 114 and 162117? 6160446 Calculate the smallest common multiple of 5632905 and 4225. 4759804725 Calculate the smallest common multiple
{ "pile_set_name": "DM Mathematics" }
(t) = t**3 - t**2 - t + 3. Let j be q(s). Let x be j/45 + 1/(-5). Which is the biggest value? (a) 3 (b) x (c) -2/9 a Let v = 53/6 - 22/3. Let y = 0.5 + -0.59. Which is the smallest value? (a) y (b) v (c) 1/7 (d) -0.4 d Let t = -1485 + 1454. Which is the biggest value? (a) -4 (b) -0.5 (c) t (d) 1 d Let l = 1775.3 - 1775. Let y = -2.1 - -2. What is the third biggest value in 1, y, -1, l? y Let v = -1186.4 + 1186. Which is the third biggest value? (a) v (b) 12 (c) -7/5 c Let r = 236 - 236. What is the smallest value in -6, r, -2? -6 Let n = -3.44 + -1.56. Which is the smallest value? (a) n (b) -6 (c) 0.05 b Let h = 1.47 - 1.464. What is the second smallest value in -1, 1, h? h Let j = 5.42 + -2.42. Let d = 1.5 + -0.5. Let f = -1.4 + d. Which is the third smallest value? (a) -2/7 (b) f (c) j c Suppose -2*k + 10 - 2 = 0, -3*k = -4*m - 20. What is the second smallest value in m, -0.06, 2? -0.06 Let i be ((-2)/18)/(196/(-441)). What is the third smallest value in i, 3/7, 2/5, -2? 2/5 Let p = -35 + 38. Suppose -7*b + p*b = -16. What is the third biggest value in 1, -4, b? -4 Let s = 184.814 - 185. Let a = -0.086 - s. What is the second smallest value in 0, a, -0.8, 4? 0 Let k(d) = 17*d**3 - 4*d**2 + 5*d - 2. Let z be k(1). Let h = z + -13. What is the fourth biggest value in -0.3, -3, 1/5, h? -3 Let f = 81 + -81.063. Let m = f - 3.937. Which is the third biggest value? (a) 3 (b) -1 (c) m (d) 0.2 b Let k = 9 - 20. Let o = k + 7. Let n = 178 - 176. Which is the second biggest value? (a) n (b) -1 (c) o b Let n be -2*((3 - 4) + -1). Let h = -9.9 + 10. What is the smallest value in n, h, -3? -3 Let r = 285 + -288. Let d = 0.7 - 0.7. What is the second biggest value in d, -0.2, r? -0.2 Let t = 5.26 - 7.26. Let o(s) = -2*s - 24. Let f be o(-10). Which is the third smallest value? (a) 3 (b) t (c) f (d) 0 d Let z = 0.0076 + -0.4076. What is the biggest value in -191, z, 0? 0 Let l be 12/(258/(-18) - -11). What is the second biggest value in 0.2, 1, -4, l? 0.2 Let u = 0.1198 - 3.1198. Which is the second smallest value? (a) -1 (b) -0.026 (c) u a Let j = 6.4 - 11.5. Let u = -4.7 - j. What is the third biggest value in -1, -0.2, u, 0.2? -0.2 Let v = 76.989 + -77. Let l = v + -0.489. Let r = -4 + 7. Which is the third smallest value? (a) -3 (b) r (c) l b Suppose -2*q - 15 - 7 = 2*z, q - 9 = 3*z. Let w be -2*-2*(-1)/q. Let r = -2 - -5. What is the biggest value in r, 3/7, w? r Let j = 12.9413 - -0.0587. Which is the third biggest value? (a) 11 (b) j (c) 1 c Let k be 1*(14/28 - (-37)/(-66)). Let l = 0.36 - -0.04. Which is the biggest value? (a) -1/2 (b) k (c) l c Let d = -3.625 + -0.375. Let i = 0.04 - -0.06. What is the biggest value in 0.9, i, d? 0.9 Let z = -70 - -69.952. Let q = z + 3.048. What is the third biggest value in -1, 4, q, 0? 0 Let q = -15 - -17. Let f = 46 - 45.8. What is the second biggest value in f, -1/7, q? f Let u = 345 + -341. What is the third smallest value in u, 0, -0.12? u Let n = -226 - -226.2. What is the second biggest value in 2/13, n, -1? 2/13 Let u = 6/11 + 21/22. Let h be (-6)/(-12)*2/12. What is the second smallest value in 1, u, h? 1 Let y = -202.4 + 202. What is the third smallest value in y, -0.5, 0? 0 Let n = 768.94 + -769. What is the third smallest value in n, -1/4, 14? 14 Let z = -0.0247 - -10.0247. Which is the third biggest value? (a) 18/5 (b) z (c) -4 c Let t = 5.823 + -5.8. Let v = 0.023 - t. Which is the biggest value? (a) v (b) 10/9 (c) -1/5 b Suppose 0 = -5*y + 4*l + 57 + 19, -83 = -5*y - 3*l. Which is the second biggest value? (a) 3/7 (b) 3 (c) -0.3 (d) y b Let m = -16 + 6. Let y = -139 + 149. Let u = y + m. What is the biggest value in -1, u, -5? u Let i = 515 + -517. Which is the biggest value? (a) 0.3 (b) i (c) -2/5 (d) 20 d Suppose -83*v = -90*v + 35. Which is the biggest value? (a) -93 (b) v (c) -0.3 b Suppose 2*h + 8 = 6*o - 2*o, -4*o = 2*h - 16. Suppose -3*s = 6*i - 2*i + 10, 5 = -h*s - i. Which is the third biggest value? (a) 0.6 (b) 0.2 (c) s c Let h = 16.4 + -16. Let c = 19 + -14. Let l = 4 - c. What is the third smallest value in h, l, -1/2? h Let r(p) = 25*p - 34. Let x be r(2). What is the biggest value in 2/13, x, -0.3? x Let a = 590 - 589. Let z = 0.6 + -4.6. What is the biggest value in z, -5, a? a Let f = -63.5 + 54. Let l = -10.3 - f. Which is the third smallest value? (a) -5 (b) 0 (c) l b Let z be 1/((14/(-8))/(-7)). Suppose z*x - 3*x = 3. Let w = 3/140 + 37/140. Which is the third biggest value? (a) x (b) 0.2 (c) w b Let x = 0.1 - -2.9. Let z = 1.6 + -0.5. Let u = -1 + z. What is the second smallest value in u, x, -8? u Let o = 25.9 - 25.8. Which is the fourth biggest value? (a) -2 (b) o (c) 5 (d) 8/7 a Let g be (-362)/(-84) - (-3)/(-21). Let m = g + -4. Let c = 0.37 + -0.07. What is the biggest value in 0.1, c, m? c Let d = -6.5 - -6.1. What is the fourth biggest value in d, -5, -0.5, -22? -22 Suppose -11 = -3*o - q, 0*o - o + 2*q + 6 = 0. Let i be 1/1 - -1 - -2. Let h be (-6)/12 + 3/i. What is the third biggest value in -1, h, o? -1 Let r = 8 - 33/4. What is the smallest value in -32, r, -0.1, 1? -32 Let p = -163 - -162.883. Let k = p - -0.517. Which is the second biggest value? (a) k (b) -2/13 (c) -1/9 (d) 5 a Let z = 0.565 - 0.465. What is the second smallest value in 3, z, -0.04, -6? -0.04 Let w = -1142 - -1141. Which is the third biggest value? (a) 51/10 (b) 0.1 (c) w c Let f = 117 + -117. Let l = 0.09 + -4.09. Let g = 4 - 7. Which is the second biggest value? (a) g (b) l (c) f a Let i = -0.087 + -4.913. What is the second biggest value in 1/4, i, -0.4, -0.12? -0.12 Suppose -32 = 65*g - 66*g. Let h be g/36*(-3)/4. Let q = 0.1 + 0. What is the second smallest value in q, -2, h? h Let l(h) = -h**3 + 11*h**2 - 10*h - 2. Let f be l(10). Let k be (f/(-12))/(3/(-6)). Let g = 0 - 5. Which is the smallest value? (a) g (b) -2 (c) k a Let x = -1091 + 5459/5. Suppose 6 = 3*z - 6. Which is the smallest value? (a) x (b) 2/5 (c) z b Let d = 4.72 + -0.02. Let r = d + -4.6. Which is the third smallest value? (a) r (b) 0.2 (c) -3 b Let i = -15641/106600 - -1/2600. Let d = -63/410 + i. What is the biggest value in -5, d, -4? d Let h = 9/262 + -623/2882. Let s = -24 - -37. Which is the third biggest value? (a) 0.4 (b) h (c) s b Suppose -2*q - 5 = 5. Let x = -93.027 + 93. Let v = 4.027 + x. Which is the biggest value? (a) v (b) 1.9 (c) q a Let y be ((-2)/30)/(68/(-340)). Let h = 11 - 12. What is the third biggest value in y, 1, h? h Let k = -68 - -63. Let d = -28 + 16. Let r = d + 12.2. Which is the smallest value? (a) -1/8 (b) k (c) r b Suppose -27 = 2*p - 9. Let c = -309/4 - -77. What is the smallest value in c, p, -3? p Let i = -42 + 16. Let h be i/(-42) + 4/(-14). Let p = 0.1 + 0.2. What is the third biggest value in p, h, -0.2? -0.2 Let z = 1.176 + -0.676. Which is the smallest value? (a) 0.02 (b) z (c) 1/5 (d) 5 a Suppose -4*j = -0*j + 12. Let i be -1*-5*(-1)/5. Let m be 6/(-18)*i/j. Which is the smallest value? (a) 1/3 (b) m (c) 5 b Let y(z) = -5 + 2 + z + 1. Let m be y(3). Suppose 99*s = 77*s - 110. What is the third biggest value in s, m, 3? s Let l be (12/(-42))/1 + 20/168. Which is the third biggest value? (a) 3 (b) -2/33 (c) l c Let y = 1.7 + -1.6. Suppose 5*r + 26 = 4*r - 4*w, -3*r - 8 = -2*w. Let v = r + 8. What is the biggest value in v, 4, y? 4 Let n = 0.79 - 8.09. Let t = -1.7 + n. Let d = t + 5. Which is the second biggest value? (a) -1 (b) d (c) 0.5 a Let n(g) = -g**2 + g - 48. Let s be n(0). Let x be 32/s*3/37. Which is the smallest value? (a) 0.1 (b) x (c) -1/5 c Let x = 7.53 - 7.43. What is the third biggest value in x, 2, 27? x Suppose -2 = n - 8. Let v = 10 - n. Let k(s) = s**3 - 5*s**2 + 4*s + 5. Let f be k(v). Which is the third smallest value? (a) 1 (b) f (c) 0.2 b Let a = -0.34 - 15.66. Let t = a + 18. Let h = -1.5 + t. What is the second biggest value in 6/7, h, 0.2? h Let j = 0.023 - 0.233. Let u = 0.11 + j. Let a = -1 - -1. What is the third smallest value in a, u, -2/17? a Let u = -9286 - -65008/7. Let v = -4 - -3. What is the second smallest value in v, 2/9, u? 2/9 Let w = -53 + 53.2. What is the fourth biggest value in -0.4, w, 2, 1? -0.4 Let x be (2 - 0)
{ "pile_set_name": "DM Mathematics" }
2. 593754 What is the lowest common multiple of 36 and 28116? 28116 What is the smallest common multiple of 666717 and 21? 4667019 Calculate the lowest common multiple of 675 and 1290. 58050 Find the common denominator of -71/547960 and 141/273980. 547960 Calculate the smallest common multiple of 20541 and 37074. 1520034 What is the least common multiple of 302 and 54162? 8178462 Calculate the smallest common multiple of 18 and 991240. 8921160 What is the common denominator of -33/197290 and 117/3620? 394580 What is the smallest common multiple of 6608 and 6608? 6608 What is the common denominator of -3/19945 and -31/259285? 259285 What is the common denominator of 85/256 and -37/108960? 871680 Find the common denominator of -43/15 and 63/420410. 1261230 Calculate the common denominator of -131/264 and 19/353397. 2827176 Find the common denominator of 131/3816 and -11/249312. 747936 What is the lowest common multiple of 720 and 402? 48240 Calculate the least common multiple of 956450 and 782550. 8608050 What is the lowest common multiple of 24601 and 438? 147606 What is the smallest common multiple of 480 and 251472? 2514720 Find the common denominator of 48/19 and -58/28785. 28785 Calculate the common denominator of 131/1386 and -59/11781. 23562 Find the common denominator of 54/65 and -29/26247. 131235 Calculate the least common multiple of 432 and 2856. 51408 What is the smallest common multiple of 1887 and 9? 5661 What is the smallest common multiple of 24 and 479048? 1437144 Find the common denominator of 91/1720 and -21/110. 18920 Calculate the lowest common multiple of 554268 and 30. 2771340 What is the lowest common multiple of 144172 and 12? 432516 Find the common denominator of -97/1272 and -187/12960. 686880 Calculate the least common multiple of 63369 and 359091. 1077273 What is the lowest common multiple of 45675 and 125? 228375 Calculate the smallest common multiple of 25290 and 8430. 25290 Find the common denominator of -29/465 and 61/33945. 33945 What is the least common multiple of 1666 and 1428? 9996 What is the lowest common multiple of 1746 and 6693? 40158 Calculate the smallest common multiple of 79200 and 3960. 79200 Calculate the least common multiple of 969 and 135. 43605 What is the lowest common multiple of 526383 and 323928? 4211064 What is the common denominator of -49/2144880 and 47/5958? 2144880 Calculate the common denominator of -71/13576 and -33/62. 420856 Find the common denominator of 49/405 and 28/3589. 1453545 Find the common denominator of -35 and -89/688485. 688485 Find the common denominator of 31/2559 and 82/4917. 4194201 Calculate the lowest common multiple of 2254 and 9660. 67620 What is the lowest common multiple of 345015 and 165? 345015 What is the smallest common multiple of 864 and 233664? 2102976 What is the lowest common multiple of 1594 and 10361? 20722 Calculate the common denominator of 94/75 and -52/23. 1725 Calculate the common denominator of 6/23 and 9/2380. 54740 Calculate the lowest common multiple of 258846 and 42. 258846 What is the common denominator of 103/168 and 101/81396? 162792 Calculate the least common multiple of 38628 and 1184. 309024 Calculate the least common multiple of 11400 and 35. 79800 Find the common denominator of 55/27 and 103/256866. 2311794 What is the least common multiple of 36 and 47436? 142308 Calculate the common denominator of 1/160 and -119/55460. 443680 Calculate the lowest common multiple of 14792 and 7912. 340216 What is the smallest common multiple of 872 and 1000? 109000 What is the smallest common multiple of 1400 and 10500? 21000 Find the common denominator of -97/17038 and 93/676. 5758844 Calculate the smallest common multiple of 6 and 19046. 57138 What is the smallest common multiple of 660 and 54180? 595980 Calculate the least common multiple of 35 and 2765. 2765 What is the common denominator of -87/52 and -9/23660? 23660 What is the smallest common multiple of 1620 and 2367? 426060 Calculate the least common multiple of 17 and 21327. 362559 Calculate the common denominator of -99/40 and 79/2307264. 11536320 Find the common denominator of 127/547086 and -31/16. 4376688 Calculate the lowest common multiple of 62016 and 168. 434112 What is the common denominator of 28/15675 and 35/19? 15675 Calculate the least common multiple of 1882 and 106. 99746 What is the least common multiple of 4356 and 968? 8712 Find the common denominator of 9/4852 and 29/161329. 645316 What is the smallest common multiple of 6016 and 384? 18048 What is the least common multiple of 210 and 19880? 59640 What is the smallest common multiple of 960 and 239808? 1199040 What is the common denominator of -11/866 and -13/1844? 798452 Calculate the common denominator of 83/394646 and 113/169134. 1183938 Calculate the smallest common multiple of 82248 and 12. 82248 What is the common denominator of -29/78376 and 151/12? 235128 What is the smallest common multiple of 4 and 2770? 5540 Calculate the smallest common multiple of 223 and 27652. 27652 Calculate the smallest common multiple of 1320 and 14960. 44880 Calculate the common denominator of 47/51456 and -59/1176. 2521344 Calculate the common denominator of -69/8 and 15/124432. 124432 Find the common denominator of -69/1280 and 73/27520. 55040 What is the smallest common multiple of 16668 and 164? 683388 What is the least common multiple of 2004 and 12? 2004 Find the common denominator of -37/66726 and 167/3234. 3269574 What is the smallest common multiple of 3768 and 10676? 64056 Calculate the least common multiple of 3228 and 312. 83928 What is the common denominator of -193/342240 and -117/80? 342240 Calculate the least common multiple of 1029 and 105. 5145 What is the least common multiple of 4 and 299556? 299556 What is the lowest common multiple of 160 and 6560? 6560 What is the least common multiple of 328073 and 2228? 1312292 What is the smallest common multiple of 360018 and 80004? 720036 Find the common denominator of -79/27684 and 87/40. 276840 Calculate the lowest common multiple of 45616 and 14255. 228080 What is the common denominator of 71/9030 and 73/9030? 9030 What is the common denominator of 71/5788 and -56/3? 17364 Calculate the least common multiple of 36 and 124. 1116 What is the least common multiple of 44 and 78464? 863104 Calculate the common denominator of -71/105 and 137/2777544. 13887720 What is the smallest common multiple of 5365 and 1015? 37555 What is the lowest common multiple of 382384 and 47798? 382384 Find the common denominator of -47/14772 and 101/1826804. 5480412 What is the smallest common multiple of 108828 and 7? 761796 Calculate the lowest common multiple of 12 and 550497. 2201988 Calculate the common denominator of -37/25020 and -25/864. 600480 What is the smallest common multiple of 109 and 179523? 179523 What is the lowest common multiple of 25379 and 8047? 329927 What is the least common multiple of 2103 and 576? 403776 What is the smallest common multiple of 116472 and 24? 116472 Calculate the least common multiple of 8071 and 399. 460047 What is the smallest common multiple of 3430 and 441? 30870 What is the smallest common multiple of 183 and 108702? 108702 What is the lowest common multiple of 2880 and 936? 37440 What is the common denominator of -13/580146 and 23/2793? 4061022 What is the common denominator of -53/12 and -167/240? 240 What is the lowest common multiple of 13620 and 66? 149820 What is the smallest common multiple of 210 and 587622? 2938110 Find the common denominator of -14/5631 and -155/1344. 2522688 Calculate the least common multiple of 28413 and 4851. 198891 Calculate the common denominator of 2/21561 and -1/100618. 301854 Find the common denominator of 16/55 and 41/776980. 8546780 Find the common denominator of -5/1526 and 4/6377. 1390186 Calculate the smallest common multiple of 2835 and 1890. 5670 Find the common denominator of 137/47616 and -1/4960. 238080 What is the common denominator of 11/18 and 67/10284? 30852 What is the common denominator of -19/53690 and -54/17641? 1234870 Calculate the least common multiple of 5067 and 15. 25335 Calculate the common denominator of -83/8 and 29/56747. 453976 Calculate the least common multiple of 7138 and 713
{ "pile_set_name": "DM Mathematics" }
080 + x**7/3780 - x**6/540 + 5*x**4/24 + 4*x**2. Let a(m) be the second derivative of s(m). Let a(t) = 0. What is t? -2, 0, 1 Let y = 0 + 3. Factor v + 6*v**3 - v + 3*v**y - 6*v**2. 3*v**2*(3*v - 2) Determine m, given that 2/7 + 0*m**3 + 2/7*m**4 - 4/7*m**2 + 0*m = 0. -1, 1 Let x(j) = -8*j**2 - 24*j - 38. Let s(l) = -2*l**2 - 1. Let o(g) = -2*s(g) + x(g). Find y such that o(y) = 0. -3 Let t(a) = a**4 + a**3 - a**2 + a. Let i(z) = -3*z**4 - 5*z**3 - 2*z. Let o(c) = -3*i(c) - 6*t(c). Factor o(y). 3*y**2*(y + 1)*(y + 2) Let l(k) be the first derivative of -k**4/24 - 2*k**3/9 - k**2/4 + 64. Let l(z) = 0. What is z? -3, -1, 0 Let j be 24/(-9)*(-11)/22. Find o, given that -4*o + 13/3*o**2 + 1/3*o**4 - 2*o**3 + j = 0. 1, 2 Suppose 43*a + 20 = 47*a. Let k(h) be the second derivative of -1/10*h**2 + 1/30*h**3 - 3*h - 1/100*h**a + 1/60*h**4 + 0. Factor k(s). -(s - 1)**2*(s + 1)/5 Let a be (11 + 1043/(-98))*24/10. Factor 3*z**2 + 15/7*z - a. 3*(z + 1)*(7*z - 2)/7 Let c = -48 + 81. Let z be ((-22)/c)/((-1)/3). What is o in -1/2*o + 1/2*o**4 - 1/2*o**5 + o**3 + 1/2 - o**z = 0? -1, 1 Let w be (-2)/7 + 58/7. Let h = w - 4. Solve 8*d**3 + 0*d**h + 11*d - 3*d - 12*d**2 - 2*d**4 - 2 = 0 for d. 1 Let l(s) be the second derivative of 0*s**2 - 1/6*s**3 + 2*s + 0*s**4 + 0*s**5 - 1/360*s**6 + 0. Let r(h) be the second derivative of l(h). Factor r(b). -b**2 Suppose 0 = 4*u - 2*q - 30, 2*u + 4*q = -q - 15. Let y(b) be the first derivative of -7/18*b**4 + 1/9*b**2 + 1 + 4/27*b**3 + 0*b + 8/45*b**u. Factor y(a). 2*a*(a - 1)**2*(4*a + 1)/9 Let m(f) be the second derivative of -f**7/210 - f**6/120 - 3*f**2 - f. Let w(d) be the first derivative of m(d). Solve w(r) = 0. -1, 0 Suppose -4*a - o + 14 = 1, -5*a + 3*o = 5. Suppose 3 = -a*g + 11. Let 2*w**g + 2 - 2*w - 6*w - 8*w**3 + 12*w**2 + 0*w = 0. Calculate w. 1 Let j be ((-21)/(-98))/(6/4). Let k(p) be the first derivative of -2 - 2/35*p**5 - 1/14*p**4 + j*p**2 + 2/21*p**3 + 0*p. Find g, given that k(g) = 0. -1, 0, 1 Let y(h) be the first derivative of 0*h**2 - 1 + 0*h - 1/9*h**3 + 1/12*h**4. Factor y(k). k**2*(k - 1)/3 Let l be 93/99 - (-42)/(-154). Solve 1/6 + 7/6*n + 2*n**2 - l*n**3 - 8/3*n**4 = 0 for n. -1/2, -1/4, 1 Factor -51*k**5 - k**5 - 4*k - 71*k**3 - 40*k**2 - 61*k**3 - 12*k**5 - 160*k**4. -4*k*(k + 1)**2*(4*k + 1)**2 Let u(t) = t**3 + 3*t**2 - 2. Let f be u(-2). Suppose f*s = s. Find n, given that 4/7*n**2 + 2/7*n**5 + s + 0*n**3 - 4/7*n**4 - 2/7*n = 0. -1, 0, 1 Let a(v) = -v**3 + 10*v**2 - 10*v + 9. Let b be a(9). Suppose b = g - 3*g. Factor -2/5*p**3 + g*p**2 + 0 + 0*p. -2*p**3/5 Let o = 18 + -15. Solve -3*z**2 - z + z**2 + 4*z**2 + z**o - 2*z**3 = 0 for z. 0, 1 Let u(l) = -5*l**3 - 31*l**2 - 15*l. Let r(o) = -o**3 - 6*o**2 - 3*o. Let n(s) = -22*r(s) + 4*u(s). Factor n(j). 2*j*(j + 1)*(j + 3) Let a(p) be the second derivative of 2*p**6/45 - p**5/3 + p**4 - 14*p**3/9 + 4*p**2/3 - 17*p. Find f, given that a(f) = 0. 1, 2 Let t be (-2)/1*(-2 - 2). Let h be t/6*3/8. Determine b so that -1/4*b**2 - h - 3/4*b = 0. -2, -1 Let m be ((-3)/6)/((-1)/8). Suppose -15 = -m*l - l. Find y, given that l*y**3 - 5*y**3 + y**3 = 0. 0 Let j be -3 - (-3 - -9)/(-1). Suppose 2 = -j*n + 4*n. Factor -5*c**n - c**2 + 6*c + c**3 + c**3 - 2*c. 2*c*(c - 2)*(c - 1) Suppose 1 - 1 + 4*j**2 - 18*j + 58*j = 0. Calculate j. -10, 0 Let i = 3679 + -2317769/630. Let z(d) be the third derivative of 1/180*d**5 + 0*d + i*d**7 + 0*d**3 + 0*d**4 + 0 - 1/180*d**6 + 2*d**2. Solve z(j) = 0. 0, 1 Let q(t) = -3*t - 18. Let h be q(-7). Let r(b) be the first derivative of 4/3*b + 0*b**3 - b**2 + 1/6*b**4 - h. Find g, given that r(g) = 0. -2, 1 Factor 0*b**4 + 0*b - 1/2*b**2 - 3/4*b**3 + 1/4*b**5 + 0. b**2*(b - 2)*(b + 1)**2/4 Let l(n) be the third derivative of -n**5/15 - n**4/2 + 8*n**3/3 + 7*n**2. Suppose l(x) = 0. What is x? -4, 1 Suppose -5*d + 0*d + 15 = 0. Let s(f) be the second derivative of -2*f + 1/36*f**4 + 0 + 2/9*f**d + 2/3*f**2. Factor s(j). (j + 2)**2/3 Factor -3*a**3 + 10*a**2 + 3*a**3 + 5*a**2 + 5*a**3. 5*a**2*(a + 3) Let z = -80 + -206. Let s = z - -2578/9. Factor -s*f**2 + 0*f + 0 - 2/3*f**4 - 10/9*f**3. -2*f**2*(f + 1)*(3*f + 2)/9 Let x(v) = -4 - 19*v**2 - 2*v**2 - 22*v**3 - 6*v - 3. Let t(y) = -7*y**3 - 7*y**2 - 2*y - 2. Let b(w) = 7*t(w) - 2*x(w). Let b(h) = 0. What is h? -1, -2/5, 0 Let t = 12 + -11. Suppose 2*a - 5 = -t. Factor -1/5*y**3 + 1/5*y + 0 - 1/5*y**a + 1/5*y**4. y*(y - 1)**2*(y + 1)/5 Suppose 2*r + j = 1 + 2, 0 = 5*j + 15. Let s(v) be the third derivative of -1/60*v**6 + 1/48*v**4 + 1/40*v**5 + 0 - 3*v**2 + 0*v + 0*v**r. Solve s(o) = 0 for o. -1/4, 0, 1 Let l(y) be the first derivative of -y**6/18 - 4*y**5/15 - y**4/4 + 4*y**3/9 + 2*y**2/3 + 9. Let l(r) = 0. Calculate r. -2, -1, 0, 1 Let q(u) = -2*u**5 + 2*u**4 + u**3 - 3*u**2 + u + 1. Let x(t) = -t**3 - t**2 + t + 1. Let i(m) = 2*q(m) - 2*x(m). Factor i(d). -4*d**2*(d - 1)**2*(d + 1) Let u(p) = 8*p**5 - 3*p**3 + 5*p**2 + 5. Let s(w) = -4*w**5 + w**3 - 3*w**2 - 3. Let y(k) = -5*s(k) - 3*u(k). Find b such that y(b) = 0. -1, 0, 1 Let u(d) be the third derivative of -d**7/1995 - d**6/380 - d**5/285 - 8*d**2. Factor u(c). -2*c**2*(c + 1)*(c + 2)/19 Let d(o) be the first derivative of 2*o**3/3 - 2*o + 2. Determine m, given that d(m) = 0. -1, 1 Let s(u) be the second derivative of 2*u + 1/8*u**3 + 0 + 1/16*u**4 + 1/80*u**5 + 1/8*u**2. Let s(j) = 0. Calculate j. -1 Let b(r) be the second derivative of -2*r + 0 - 1/48*r**4 - 1/24*r**3 + 1/4*r**2. Factor b(h). -(h - 1)*(h + 2)/4 Let v(i) be the second derivative of i**4/30 + 2*i**3/15 + i**2/5 + 6*i. Suppose v(j) = 0. Calculate j. -1 Let b(j) be the third derivative of -j**8/70560 + j**7/17640 - j**5/20 + 3*j**2. Let s(c) be the third derivative of b(c). Factor s(l). -2*l*(l - 1)/7 Let p(n) = -7*n**3 + n**2 - 11*n + 7. Let z(w) = -10*w + 5 + 3 + 2*w**2 - 1 - 1 - 6*w**3. Let q = -12 + 8. Let v(k) = q*p(k) + 5*z(k). Factor v(j). -2*(j - 1)**3 Let a be (-20)/(-21) - (-14)/(-49). Find i, given that a*i**2 + 0 + 2/3*i = 0. -1, 0 Let k = 22/107 - 3193/16050. Let d(g) be the third derivative of 1/300*g**6 - 1/30*g**4 + 0*g**3 + 0 - 2*g**2 + 0*g - k*g**5. Factor d(f). 2*f*(f - 2)*(f + 1)/5 Suppose -440 + 125 = 5*m. Let j = m - -443/7. Factor -4/7*z**4 + j*z + 0 + 0*z**3 + 4/7*z**2 - 2/7*z**5. -2*z*(z - 1)*(z + 1)**3/7 Suppose -4*c - 4 = 2*a, 2*a - c - 3 = 3*a. Let z = a + 4. Factor 0*v**3 + 2*v**4 + 4*v**4 + z*v**3 + 4*v**3 - 10*v**5. -2*v**3*(v - 1)*(5*v + 2) Suppose 8 = z + 3*z. Suppose 4*s - 4 = z*s. Solve 12/7*p**2 + 2/7*p - 16/7*p**5 + s*p**3 + 0 - 12/7*p**4 = 0. -1, -1/2, -1/4, 0, 1 Let j = 23 + -47. Let a be (-18)/j + 3/(-4). Factor 0*x**2 + a*x - 2/7*x**4 + 0 + 2/7*x**3. -2*x**3*(x - 1)/7 Suppose -5*r + 13 = -7. Factor -4*z - 9 + 0*z**2 - 6*z - z**2 + r*z. -(z + 3)**2 Solve -605*o**2 - 9 - 110*o - 6 + 21 - 11 = 0 for o. -1/11 Suppose 5*h - 10 = 2*i, 0 = 2*i + 10. Factor -3/5*v**2 + 3/5 + h*v. -3*(v - 1)*(v + 1)/5 Let f(m) = -80*m**2 - 55*m - 55. Let d(k) = 3*k**2 + 2*k + 2. Let h(b) = 55*d(b) + 2*f(b). Determine c, given that h(c) = 0. 0 Let q = 143/2 + -70. Factor -5/2*o - 1 + q*o**2. (o - 2)*(3*o + 1)/2 Let h(n) = 17*n - 13. Let f be h(1). What is t in 3/2*t**3 + 0 + 0*t + 3/4*t**2 + 3/4*t**f = 0? -1, 0 Let g(u) = 21*u**3 - 84*u**2 + 120*u - 27. Let k(o) = -3*o**3 + 12*o**2 - 17*o + 4. Let w(z) = -2*g(z) - 15*k(z). Find v, given that w(v) = 0. 1, 2 Let n(o) be the third derivative of o**8/100800 - o**7/12600 + o**6/3600 - o**5/10 - 3*o**2. Let i(z) be the third derivative of n(z). Factor i(f). (f - 1)**2/5 Let k = 8773/5 - 1754. Let v = 3/151 + 891/755. Factor k*h + v - 3/5*h**2. -3*(h - 2)*(h + 1)/5 Factor -16/3*z**4 + 3*z**5 - 5/3*z - 4/3*z**3 + 6*z**2 - 2/3. (z - 1)**3*(z + 1)*(9*z + 2)/3 Let i(f) be the third derivative of f**7/280 + f**6/40 + f**5/20 + f**3 - 8*f**2. Let c(a) be the first derivative of i(a). Determine o so that c(o) = 0. -2, -1, 0 What is k in -7/2*k - 1/4*k**4 + k**3 + 3/4*k**2 + 2 = 0? -2, 1, 4 Let 9*v - 40 + v - 12*v - 10*v + 4*v**2 = 0. Calculate v. -2, 5 Let t(r) be the first derivative of 2*r**4 + 2*r**2 + 2/5*r**5 + 10/3*r**3 + 0*r + 3. Factor t(p). 2*p*(p + 1)**2*(p + 2) Let v(k) = 2*k**2 - 10*k - 8. Let y be v(6). Suppose 3*c - 4*q + 0*q + 16 = 0, -4*c + 16 = y*q. Suppose 5/2*o**3 - o - 2*o**4 + 7/2*
{ "pile_set_name": "DM Mathematics" }
sand? -2230000 What is -127810000 rounded to the nearest 1000000? -128000000 What is -0.111915 rounded to 3 decimal places? -0.112 Round 0.0000007321 to 7 decimal places. 0.0000007 Round 0.06234 to 2 decimal places. 0.06 What is -0.01238 rounded to two decimal places? -0.01 Round -142300000 to the nearest 1000000. -142000000 What is -22349 rounded to the nearest 1000? -22000 What is 1029270 rounded to the nearest 1000? 1029000 What is 0.00386 rounded to four decimal places? 0.0039 Round 0.000000681 to 7 dps. 0.0000007 What is -14442000 rounded to the nearest one million? -14000000 Round 0.83988 to 1 decimal place. 0.8 Round -0.001585 to 4 dps. -0.0016 What is -0.0000022097 rounded to 7 dps? -0.0000022 Round 0.03404 to four dps. 0.034 Round -0.000004123 to six dps. -0.000004 What is 5810 rounded to the nearest one thousand? 6000 What is -0.00013107 rounded to 5 decimal places? -0.00013 Round -27.29 to the nearest ten. -30 What is 70220 rounded to the nearest ten thousand? 70000 Round 0.000003345 to six dps. 0.000003 What is -2811 rounded to the nearest 1000? -3000 Round -0.0035715 to five decimal places. -0.00357 What is 0.030385 rounded to three dps? 0.03 What is -10.2 rounded to the nearest 10? -10 Round -6555 to the nearest 100. -6600 What is 7151 rounded to the nearest 100? 7200 Round -0.00001708 to six dps. -0.000017 Round -152500000 to the nearest one million. -153000000 Round -35.353 to one dp. -35.4 Round -12.1136 to one dp. -12.1 Round -0.353 to one dp. -0.4 Round -1009 to the nearest ten. -1010 Round 0.0000185054 to 7 dps. 0.0000185 What is -3902 rounded to the nearest one hundred? -3900 What is 2663400 rounded to the nearest 10000? 2660000 What is 10260 rounded to the nearest 1000? 10000 What is -27861000 rounded to the nearest one million? -28000000 Round 7457800 to the nearest one hundred thousand. 7500000 Round -0.2987 to 1 dp. -0.3 What is 292500 rounded to the nearest 10000? 290000 What is -69.6 rounded to zero dps? -70 Round -4.737 to the nearest integer. -5 What is 2.571 rounded to 2 dps? 2.57 Round -0.001975 to three decimal places. -0.002 Round -4341700 to the nearest 10000. -4340000 What is 284800 rounded to the nearest ten thousand? 280000 Round -4.75 to the nearest integer. -5 What is 0.00006439 rounded to six dps? 0.000064 Round -0.001193 to three dps. -0.001 What is 0.1569 rounded to two dps? 0.16 Round 8465000 to the nearest one million. 8000000 What is 530 rounded to the nearest 1000? 1000 Round -18600 to the nearest ten thousand. -20000 What is 0.89041 rounded to three dps? 0.89 What is -48.848 rounded to one dp? -48.8 Round 0.0000059983 to seven dps. 0.000006 Round -1128000 to the nearest 100000. -1100000 Round -15.12 to the nearest integer. -15 Round 8190000 to the nearest 1000000. 8000000 What is 0.0037 rounded to 3 dps? 0.004 What is 813040 rounded to the nearest 10000? 810000 Round 0.01243 to 3 decimal places. 0.012 What is 0.0000044 rounded to 6 dps? 0.000004 What is -2.551 rounded to one decimal place? -2.6 Round 0.0002568 to four dps. 0.0003 What is -90420 rounded to the nearest 1000? -90000 What is 350 rounded to the nearest one thousand? 0 Round -347600 to the nearest one thousand. -348000 Round 16600000 to the nearest one hundred thousand. 16600000 What is -0.000299063 rounded to 6 decimal places? -0.000299 Round 0.03361 to 3 decimal places. 0.034 Round -0.3092 to 2 decimal places. -0.31 Round 1.16064 to two decimal places. 1.16 Round 14017 to the nearest one hundred. 14000 What is -9410 rounded to the nearest one hundred? -9400 What is -7891700 rounded to the nearest one million? -8000000 Round -0.000893335 to 4 dps. -0.0009 Round -3.343 to the nearest integer. -3 Round 1.53 to 1 decimal place. 1.5 Round -57710000 to the nearest 1000000. -58000000 Round -500.64 to the nearest ten. -500 Round -0.386158 to three decimal places. -0.386 What is -0.000051 rounded to 6 decimal places? -0.000051 Round 267 to the nearest one hundred. 300 Round 1057 to the nearest one hundred. 1100 What is 76860 rounded to the nearest 100000? 100000 What is -38615600 rounded to the nearest 100000? -38600000 What is -8.219 rounded to the nearest integer? -8 What is 0.00001966 rounded to six decimal places? 0.00002 Round -0.00473 to 2 decimal places. 0 What is 0.00003562 rounded to six decimal places? 0.000036 Round 0.003628 to four dps. 0.0036 Round 880 to the nearest 10000. 0 Round 4.9672 to one decimal place. 5 Round 0.0040028 to four decimal places. 0.004 Round -370.54 to the nearest integer. -371 What is -0.0041702 rounded to 4 dps? -0.0042 What is 197.6 rounded to the nearest 10? 200 What is -9840 rounded to the nearest one thousand? -10000 What is 2963000 rounded to the nearest 100000? 3000000 What is 4027 rounded to the nearest 100? 4000 Round 0.00046232 to 4 dps. 0.0005 What is 7.623 rounded to zero dps? 8 Round -0.0000887 to 5 decimal places. -0.00009 What is 250900000 rounded to the nearest one million? 251000000 What is -0.008663 rounded to three decimal places? -0.009 Round 0.000488 to four dps. 0.0005 Round 0.000018387 to 7 decimal places. 0.0000184 Round 5818 to the nearest 1000. 6000 Round -0.000000185 to seven decimal places. -0.0000002 Round -0.000001174 to six dps. -0.000001 Round -0.000093536 to 5 decimal places. -0.00009 Round -0.00002006 to six dps. -0.00002 What is 0.0015848 rounded to four decimal places? 0.0016 Round -0.0007385 to four dps. -0.0007 Round -0.04037 to 3 dps. -0.04 Round -2870 to the nearest one thousand. -3000 Round 4876.6 to the nearest 100. 4900 Round 597800 to the nearest 10000. 600000 What is 0.000006325 rounded to seven dps? 0.0000063 What is -0.000000386039 rounded to 7 dps? -0.0000004 What is -0.0000859 rounded to four decimal places? -0.0001 Round -2.163 to 1 decimal place. -2.2 Round -59480 to the nearest 10000. -60000 What is 0.000011964 rounded to seven decimal places? 0.000012 What is 0.00031084 rounded to five decimal places? 0.00031 What is -0.0000622625 rounded to 7 dps? -0.0000623 What is 0.50697 rounded to one dp? 0.5 Round 0.0050393 to 4 dps. 0.005 Round -6237000 to the nearest 100000. -6200000 What is -0.027098 rounded to 3 dps? -0.027 What is -0.0002328 rounded to four decimal places? -0.0002 What is -347220000 rounded to the nearest one million? -347000000 Round -0.00035567 to 6 decimal places. -0.000356 Round 0.00000029 to six decimal places. 0 What is 62.85 rounded to the nearest ten? 60 What is -0.61426 rounded to one decimal place? -0.6 Round -3175 to the nearest ten. -3180 Round -81.905 to the nearest 10. -80 What is 3102.5 rounded to the nearest ten? 3100 What is -7383000 rounded to the nearest one hundred thousand? -7400000 Round 0.00040054 to six decimal places. 0.000401 What is 0.0019153 rounded to four decimal places? 0.0019 What is -0.04567 rounded to three dps? -0.046 Round 633200 to the nearest one hundred thousand. 600000 Round -516.43 to the nearest one hundred. -500 Round 0.0000354 to five decimal places. 0.00004 What is 115120000 rounded to the nearest one million? 115000000 Round -0.0000091728 to six decimal places. -0.000009 Round 2.8294 to one dp. 2.8 Round 695000 to the nearest one million. 1000000 What is 0.9073 rounded to 2 dps? 0.91 What is -29.14 rounded to zero decimal places? -29 Round 57900 to the nearest ten thousand. 60000 What is 0.56801 rounded to two dps? 0.57 Round 7326000 to the nearest 100000. 7300000 Round -0.7269 to 1 dp. -0.7 What is -18671000 rounded to the nearest 100000? -18700000 What is 0.00000356617 rounded to 6 decimal places? 0.000004 What is -720500 rounded to the nearest 100000? -700000 What is 5382.3 rounded to the nearest one hundred? 5400 What is -10040 rounded to the nearest one hundred? -10000 What is -0.0000007016 rounded to seven decimal places? -0.0000007 What is -0.04196 rounded to 2 dps? -0.04 What is -398.912 rounded to the nearest integer? -399 What is 0.8902 rounded to zero decimal places? 1 What is -0.000013164 rounded to 6 dps? -0.000013 What is -0.00131 rounded to three dps? -0.001 Round -777.16 to the nearest ten. -780 What is 1.8248 rounded to 1 dp? 1.8 What is -0.000503305 rounded to 5 dps? -0.0005 Round 34.66 to 0 dps. 35 Round -0.000003333 to 7 dps. -0.0000033 What is 317000 rounded to the nearest 1
{ "pile_set_name": "DM Mathematics" }
th term of 5378453, 10756949, 16135445, 21513941? 5378496*x - 43 What is the o'th term of -28100251, -56200500, -84300749, -112400998, -140501247, -168601496? -28100249*o - 2 What is the t'th term of 459242, 918620, 1377998, 1837376, 2296754, 2756132? 459378*t - 136 What is the b'th term of 293449, 298316, 311525, 337246, 379649? 695*b**3 + b**2 - b + 292754 What is the d'th term of -51719, -206804, -465287, -827168, -1292447? -51699*d**2 + 12*d - 32 What is the r'th term of -17227, -17235, -17225, -17197? 9*r**2 - 35*r - 17201 What is the z'th term of -305174, -305164, -305148, -305126, -305098, -305064, -305024? 3*z**2 + z - 305178 What is the p'th term of -2935026, -5870044, -8805052, -11740050, -14675038, -17610016, -20544984? 5*p**2 - 2935033*p + 2 What is the v'th term of 22463, 22402, 22321, 22238, 22171, 22138? 3*v**3 - 28*v**2 + 2*v + 22486 What is the q'th term of 358982, 358970, 358946, 358904, 358838, 358742, 358610? -q**3 - 5*q + 358988 What is the u'th term of 69570, 139059, 208532, 277989, 347430, 416855? -8*u**2 + 69513*u + 65 What is the g'th term of 1410, 2482, 3496, 4422, 5230? -5*g**3 + g**2 + 1104*g + 310 What is the a'th term of 557991, 1115985, 1673979, 2231973, 2789967? 557994*a - 3 What is the r'th term of -44741, -87700, -130659, -173618? -42959*r - 1782 What is the h'th term of -6337, -6754, -7171, -7588? -417*h - 5920 What is the y'th term of -7208, -7096, -6984, -6872? 112*y - 7320 What is the d'th term of 45293700, 90587382, 135881064? 45293682*d + 18 What is the n'th term of -38097267, -38097278, -38097303, -38097348, -38097419, -38097522, -38097663, -38097848? -n**3 - n**2 - n - 38097264 What is the s'th term of -1173, -1496, -2035, -2790, -3761, -4948, -6351? -108*s**2 + s - 1066 What is the z'th term of 685, 757, 871, 1033, 1249, 1525, 1867, 2281? z**3 + 15*z**2 + 20*z + 649 What is the q'th term of -90173, -362158, -815953, -1451558? -90905*q**2 + 730*q + 2 What is the z'th term of 4389061, 8778092, 13167123, 17556154? 4389031*z + 30 What is the v'th term of -2186623, -2186580, -2186537, -2186494, -2186451? 43*v - 2186666 What is the g'th term of -98567, -98555, -98543, -98531, -98519, -98507? 12*g - 98579 What is the d'th term of -453208059, -453208058, -453208057, -453208056? d - 453208060 What is the p'th term of -20248, -24552, -28856? -4304*p - 15944 What is the f'th term of 24053, 24056, 24055, 24050, 24041, 24028, 24011? -2*f**2 + 9*f + 24046 What is the p'th term of 96972, 388473, 874314, 1554495, 2429016, 3497877? 97170*p**2 - 9*p - 189 What is the x'th term of -5695, -11727, -17759, -23791? -6032*x + 337 What is the s'th term of 12733, 12843, 13157, 13777, 14805, 16343, 18493, 21357? 17*s**3 - 9*s + 12725 What is the k'th term of 66829, 66268, 65335, 64030, 62353, 60304, 57883? -186*k**2 - 3*k + 67018 What is the m'th term of -2988042, -5976091, -8964140, -11952189, -14940238, -17928287? -2988049*m + 7 What is the x'th term of 3076, 12539, 28344, 50491? 3171*x**2 - 50*x - 45 What is the d'th term of 12616882, 25233763, 37850644, 50467525? 12616881*d + 1 What is the z'th term of -896915, -3587712, -8072393, -14350958? -896942*z**2 + 29*z - 2 What is the f'th term of 7022, 14235, 21472, 28745, 36066, 43447, 50900, 58437? 2*f**3 + 7199*f - 179 What is the d'th term of -3437, -6800, -10061, -13220, -16277, -19232, -22085? 51*d**2 - 3516*d + 28 What is the k'th term of -17557841, -35115686, -52673531, -70231376, -87789221, -105347066? -17557845*k + 4 What is the b'th term of 153755, 303187, 452619, 602051? 149432*b + 4323 What is the b'th term of 588230, 1176471, 1764726, 2353001, 2941302? b**3 + b**2 + 588231*b - 3 What is the g'th term of -5880, -23694, -53714, -96210, -151452, -219710, -301254? -45*g**3 - 5833*g**2 - 2 What is the h'th term of -218955, -437742, -656527, -875310, -1094091? h**2 - 218790*h - 166 What is the m'th term of 14032, 30246, 46458, 62668, 78876? -m**2 + 16217*m - 2184 What is the h'th term of -8230664, -16461337, -24692010, -32922683, -41153356, -49384029? -8230673*h + 9 What is the h'th term of -69894, -139518, -209140, -278760? h**2 - 69627*h - 268 What is the v'th term of 14433, 14777, 15157, 15591, 16097, 16693, 17397? 3*v**3 + 323*v + 14107 What is the q'th term of 562, 935, 1236, 1429, 1478, 1347? -6*q**3 + 415*q + 153 What is the y'th term of -15711, -30670, -44861, -58284, -70939, -82826, -93945? 384*y**2 - 16111*y + 16 What is the r'th term of -9342, -29638, -63466, -110826, -171718? -6766*r**2 + 2*r - 2578 What is the k'th term of 964, 2480, 4536, 7132, 10268, 13944, 18160? 270*k**2 + 706*k - 12 What is the b'th term of 151773, 303089, 454405, 605721? 151316*b + 457 What is the c'th term of -5227139, -5227128, -5227109, -5227082, -5227047, -5227004, -5226953? 4*c**2 - c - 5227142 What is the p'th term of -60876, -243414, -547636, -973542? -60842*p**2 - 12*p - 22 What is the u'th term of 178351418, 713405681, 1605162786, 2853622733, 4458785522, 6420651153, 8739219626? 178351421*u**2 - 3 What is the k'th term of 214860, 428992, 643124, 857256? 214132*k + 728 What is the r'th term of 15690, 33075, 50460, 67845, 85230? 17385*r - 1695 What is the b'th term of 5152, 26774, 85454, 199720, 388100, 669122? 3088*b**3 + b**2 + 3*b + 2060 What is the x'th term of 2835, 5563, 8315, 11091, 13891, 16715? 12*x**2 + 2692*x + 131 What is the y'th term of 39561, 39609, 39671, 39747? 7*y**2 + 27*y + 39527 What is the s'th term of 3092, 12300, 27316, 47870, 73692, 104512, 140060? -45*s**3 + 3174*s**2 + s - 38 What is the u'th term of -34310260, -68620519, -102930780, -137241043, -171551308, -205861575, -240171844? -u**2 - 34310256*u - 3 What is the l'th term of 105665, 105757, 105931, 106229, 106693, 107365, 108287? 7*l**3 - l**2 + 46*l + 105613 What is the y'th term of 39749, 39745, 39749, 39761, 39781? 4*y**2 - 16*y + 39761 What is the l'th term of -23828, -23712, -23506, -23198, -22776, -22228, -21542, -20706? 2*l**3 + 33*l**2 + 3*l - 23866 What is the h'th term of 16326788, 32653581, 48980374? 16326793*h - 5 What is the n'th term of -3928, -4550, -5164, -5770, -6368, -6958? 4*n**2 - 634*n - 3298 What is the n'th term of 14389, 14695, 15011, 15343, 15697, 16079, 16495? n**3 - n**2 + 302*n + 14087 What is the o'th term of -48431, -47743, -45875, -42233, -36223, -27251, -14723? 99*o**3 - 4*o**2 + 7*o - 48533 What is the b'th term of -2148497, -2148489, -2148467, -2148425, -2148357, -2148257, -2148119, -2147937? b**3 + b**2 - 2*b - 2148497 What is the a'th term of 15055, 30056, 45009, 59914, 74771, 89580, 104341? -24*a**2 + 15073*a + 6 What is the x'th term of -469639, -469017, -468393, -467767? x**2 + 619*x - 470259 What is the h'th term of -2521777, -5043619, -7565461, -10087303, -12609145, -15130987? -2521842*h + 65 What is the x'th term of -17, 184, 671, 1528, 2839, 4688? 14*x**3 + 59*x**2 - 74*x - 16 What is the z'th term of -2539464, -5078905, -7618346? -2539441*z - 23 What is the x'th term of 61795, 247107, 555981, 988429, 1544463, 2224095, 3027337, 3954201? 2*x**3 + 61769*x**2 - 9*x + 33 What is the t'th term of 5819, 6082, 6341, 6596, 6847, 7094, 7337? -2*t**2 + 269*t + 5552 What is the g'th term of 461, 2365, 5543, 10001, 15745, 22781, 31115? g**3 + 631*g**2 + 4*g - 175 What is the c'th term of 5170564, 5170565, 5170566, 5170567, 5170568? c + 5170563 What is the h'th term of 3845, 8304, 12763, 17222? 4459*h - 614 What is the b'th term of 8131, 8717, 9333, 9991, 10703, 11481, 12337, 13283? 2*b**3 + 3*b**2 + 563*b + 7563 What is the f'th term of -758, -1686, -2842, -4286, -6078, -8278? -10*f**3 - 54*f**2 - 696*f + 2 What is the t'th term of 373, -1, -1051, -2783, -5203, -8317? -t**3 - 332*t**2 + 629*t + 77 What is the c'th term of -499, -1036, -1901, -3094, -4615? -164*c**2 - 45*c - 290 What is the m'th term of -810057, -3240295, -7290697, -12961269, -20252017? -m**3 - 810076*m**2 - 3*m + 23 What is the p'th term of 246, 1329, 3176, 5787, 9162? 382*p**2 - 63*p - 73 What is the s'th term of -2790, -2599, -2378, -2109, -1774, -1355, -834, -193? 3*s**3 - 3*s**2 + 179*s - 2969 What is the w'th term of -128516, -257063, -385642, -514253? -16*w**2 - 128499*w - 1 What is the x'th term of 11685, 11900, 12123, 12354, 12593, 12840, 13095? 4*x**2 + 203*x + 11478 What is the s'th term of
{ "pile_set_name": "DM Mathematics" }
M What is 647 minutes before 5:15 AM? 6:28 PM How many minutes are there between 6:57 PM and 1:37 AM? 400 How many minutes are there between 3:33 PM and 6:24 PM? 171 How many minutes are there between 9:33 AM and 1:02 PM? 209 What is 155 minutes before 2:52 AM? 12:17 AM How many minutes are there between 8:34 PM and 1:58 AM? 324 What is 599 minutes after 9:59 PM? 7:58 AM How many minutes are there between 2:02 AM and 4:24 AM? 142 What is 304 minutes before 6:16 AM? 1:12 AM What is 410 minutes before 8:53 PM? 2:03 PM How many minutes are there between 1:01 PM and 2:45 PM? 104 What is 611 minutes before 3:38 AM? 5:27 PM What is 56 minutes after 5:43 AM? 6:39 AM How many minutes are there between 10:48 PM and 7:38 AM? 530 What is 663 minutes after 2:16 AM? 1:19 PM What is 120 minutes before 12:07 AM? 10:07 PM How many minutes are there between 8:14 PM and 1:45 AM? 331 What is 639 minutes after 8:26 AM? 7:05 PM How many minutes are there between 12:32 AM and 4:46 AM? 254 What is 466 minutes before 7:28 PM? 11:42 AM How many minutes are there between 10:03 PM and 12:31 AM? 148 What is 41 minutes after 11:16 AM? 11:57 AM What is 170 minutes after 2:57 AM? 5:47 AM How many minutes are there between 2:01 AM and 1:03 PM? 662 What is 265 minutes before 7:37 AM? 3:12 AM What is 655 minutes after 1:34 AM? 12:29 PM How many minutes are there between 4:25 PM and 7:21 PM? 176 What is 457 minutes before 2:43 PM? 7:06 AM What is 38 minutes before 6:22 AM? 5:44 AM How many minutes are there between 11:42 AM and 8:26 PM? 524 How many minutes are there between 4:47 PM and 6:37 PM? 110 How many minutes are there between 3:40 PM and 2:32 AM? 652 What is 524 minutes before 9:54 PM? 1:10 PM How many minutes are there between 4:58 AM and 8:25 AM? 207 What is 691 minutes after 6:38 PM? 6:09 AM How many minutes are there between 9:45 AM and 10:10 AM? 25 What is 372 minutes before 4:21 AM? 10:09 PM How many minutes are there between 5:12 AM and 1:40 PM? 508 How many minutes are there between 1:34 PM and 11:52 PM? 618 How many minutes are there between 8:24 PM and 3:27 AM? 423 What is 184 minutes before 6:15 PM? 3:11 PM How many minutes are there between 9:52 AM and 6:15 PM? 503 How many minutes are there between 11:34 AM and 7:00 PM? 446 What is 292 minutes before 12:40 PM? 7:48 AM What is 310 minutes after 4:08 PM? 9:18 PM How many minutes are there between 3:30 PM and 2:55 AM? 685 What is 583 minutes before 4:39 PM? 6:56 AM How many minutes are there between 3:48 PM and 12:22 AM? 514 How many minutes are there between 9:54 AM and 9:58 AM? 4 What is 123 minutes after 6:32 PM? 8:35 PM How many minutes are there between 10:54 AM and 6:22 PM? 448 What is 655 minutes after 5:08 AM? 4:03 PM What is 48 minutes before 8:53 AM? 8:05 AM What is 482 minutes after 5:22 AM? 1:24 PM How many minutes are there between 7:15 AM and 2:11 PM? 416 What is 90 minutes after 3:59 AM? 5:29 AM How many minutes are there between 12:53 PM and 12:14 AM? 681 What is 661 minutes before 6:44 PM? 7:43 AM What is 207 minutes before 3:14 AM? 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324 What is 332 minutes after 5:41 PM? 11:13 PM What is 154 minutes after 5:44 AM? 8:18 AM What is 582 minutes before 6:10 PM? 8:28 AM What is 38 minutes after 5:59 PM? 6:37 PM What is 578 minutes after 5:17 AM? 2:55 PM How many minutes are there between 8:10 PM and 3:09 AM? 419 What is 56 minutes after 11:30 PM? 12:26 AM How many minutes are there between 2:37 AM and 3:53 AM? 76 How many minutes are there between 8:54 PM and 12:57 AM? 243 What is 609 minutes before 11:51 PM? 1:42 PM How many minutes are there between 5:21 AM and 1:23 PM? 482 How many minutes are there between 10:29 PM and 12:45 AM? 136 How many minutes are there between 2:33 PM and 5:28 PM? 175 How many minutes are there between 1:09 AM and 10:45 AM? 576 How many minutes are there between 1:16 PM and 8:41 PM? 445 How many minutes are there between 2:06 AM and 6:36 AM? 270 What is 634 minutes after 3:12 PM? 1:46 AM What is 243 minutes before 12:12 PM? 8:09 AM How many minutes are there between 7:48 AM and 5:37 PM? 589 What is 664 minutes after 3:52 PM? 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44 How many minutes are there between 4:09 AM and 7:00 AM? 171 What is 552 minutes after 9:32 PM? 6:44 AM What is 585 minutes after 10:53 AM? 8:38 PM What is 283 minutes before 2:16 PM? 9:33 AM What is 318 minutes before 11:13 AM? 5:55 AM How many minutes are there between 5:38 PM and 11:50 PM? 372 How many minutes are there between 11:04 AM and 3:41 PM? 277 How many minutes are there between 3:17 AM and 3:12 PM? 715 What is 514 minutes before 8:50 PM? 12:16 PM How many minutes are there between 2:07 PM and 2:19 PM? 12 How many minutes are there between 12:38 PM and 4:58 PM? 260 How many minutes are there between 3:54 AM and 11:18 AM? 444 What is 111 minutes before 9:31 PM? 7:40 PM How many minutes are there between 4:36 PM and 3:52 AM? 676 How many minutes are there between 8:18 PM and 12:52 AM? 274 How many minutes are there between 10:13 AM and 5:16 PM? 423 What is 170 minutes after 1:30 AM? 4:20 AM How many minutes are there between 3:57 AM and 10:38 AM? 401 How many minutes are there between 2:17 PM and 11:49 PM? 572 How many minutes are there between 8:04 AM and 1:24 PM? 320 What is 394 minutes before 10:36 PM? 4:02 PM How many minutes are there between 12:41 AM and 10:17 AM? 576 How many minutes are there between 7:44 PM and 1:08 AM? 324 How many minutes are there between 9:06 AM and 10:06 AM? 60 How many minutes are there between 3:24 AM and 4:41 AM? 77 How many minutes are there between 1:23 PM and 3:07 PM? 104 How many minutes are there between 1:22 PM and 7:22 PM? 360 How many minutes are there between 6:55 PM and 2:04 AM? 429 What is 454 minutes after 3:49 AM? 11:23 AM What is 185 minutes after 11:53 AM? 2:58 PM What is 98 minutes after 4:52 AM? 6:30 AM What is 703 minutes after 9:28 PM? 9:11 AM What is 591 minutes after 7:51 AM? 5:42 PM How many minutes are there between 1:20 PM and 6:33 PM? 313 How many minutes are there between 10:29 AM and 1:03 PM? 154 What is 597 minutes before 3:12 PM? 5:15 AM What is 639 minutes before 5:42 AM? 7:03 PM How many minutes are there between 4:42 PM a
{ "pile_set_name": "DM Mathematics" }
-16 + 22 - 25 + (0 - 2 + 5)*(2 - 4 + 0)) as o + a*s and give a. 250 Rearrange (-2 + 2 - 2*z**2)*(-263*z - 202*z + 761*z) to the form w*z**3 + a + m*z + u*z**2 and give a. 0 Rearrange -3*z**3 - 5*z - z + 9*z**2 - 8*z**2 - z**2 - 3*z**4 to s + f*z**2 + d*z**3 + v*z**4 + o*z and give d. -3 Rearrange -34252*k**2 - 3*k**3 + 2*k**3 + 34301*k**2 + (-k**2 + 2*k**2 + 0*k**2)*(-k + 4*k - k) to z*k + b + p*k**2 + a*k**3 and give p. 49 Rearrange (-4 + 1 + 5)*(4*f**3 + 0*f**3 + 0*f**3) + 4*f - 8*f**3 - 4*f - 8*f**3 to c + l*f**2 + t*f + k*f**3 and give k. -8 Express -6*l**2 - 2*l**4 - 6*l**2 + 8*l**2 + 2*l**3 + 2 + 0*l**3 as w + a*l**3 + i*l**2 + k*l + t*l**4 and give w. 2 Rearrange (-4*l**2 + 12 - 3*l**2 + 9*l**2)*(-238 + 238 - 3*l) to j + c*l**2 + p*l + v*l**3 and give p. -36 Rearrange -3*r**2 - 26*r**2 + 73*r**2 + 2 + r**3 - 3*r to p + t*r + v*r**2 + o*r**3 and give v. 44 Rearrange -211 - 1499*d + 1497*d - 10 to l*d + i and give i. -221 Rearrange -2*z - 194*z**2 + 95*z**2 + 2 + 98*z**2 + 9*z**4 to the form t*z**4 + i + w*z**3 + r*z**2 + k*z and give r. -1 Express -111*z**2 + 22 - 110*z**2 - 113*z**2 + 328*z**2 + 39 as k*z + x + i*z**2 and give x. 61 Rearrange 169 - 75 - 81 - 3*a to the form k + n*a and give k. 13 Express -7 + 10*p - 3 - 4*p + 5 + 4 in the form n + l*p and give l. 6 Express (2 + 2 - 7)*(17 - 35 - 4*o**3 + 16 + 4*o**2) in the form s*o**2 + c*o + g + j*o**3 and give g. 6 Rearrange (-2 + 11 - 5)*(15*i + 19*i - 10*i)*(-4*i**3 + i**3 + 2*i**3) to y*i**2 + r + b*i + m*i**4 + u*i**3 and give m. -96 Rearrange -154*y - 11 - 209*y - 159*y - 162*y + 620*y to b*y + h and give h. -11 Express -2001*k**2 + 546*k**2 - 917*k**2 in the form f + v*k + s*k**2 and give s. -2372 Rearrange -2148*w**3 + w**2 + w**2 + 2255*w**3 + w to the form k + v*w + c*w**3 + s*w**2 and give s. 2 Express -36 - 38 - 34 - 272*v**2 + 2*v + 109 in the form n*v + q*v**2 + g and give g. 1 Rearrange -1 - 5*c + 0*c - 2*c**2 - 1471*c**3 + 1470*c**3 + 3*c**4 + 5*c to the form t*c**2 + d*c**3 + x + p*c + r*c**4 and give d. -1 Rearrange 8*d + 41537*d**3 - 41521*d**3 - d**2 + 3*d**2 - 2*d**4 - 2*d to l*d**4 + v*d + h + q*d**3 + f*d**2 and give l. -2 Express (-2 + 3 - 2)*(-20*g - 6 + 6) - g + 3*g - 3*g - 4*g + 2*g + 0*g in the form p*g + n and give p. 17 Express (2 + 9 + 2 + 5 - 1 - 2 + (-1 + 1 + 2)*(3 - 4 - 1) + 0 + 1 + 0)*(-3*h**2 + 10 + 0*h**2 - 7) as u*h + t + l*h**2 and give l. -36 Rearrange -9*a**2 + 7*a**2 - 14*a**2 + (5*a - 2*a + 0*a)*(2*a - 3*a + 2*a) - 4*a**2 + 12 + a - 11 - 2*a to r*a + b + p*a**2 and give r. -1 Express -3*w**3 - 35*w**4 + 54*w**4 + 4 - 1 + 2*w**2 in the form l + y*w**3 + j*w**4 + s*w**2 + n*w and give s. 2 Rearrange -2809*h + 6*h**2 + 12 + 1402*h + 1407*h to k*h**2 + t*h + o and give o. 12 Rearrange 133*g - 375*g**2 - 269*g + 136*g to the form j*g**2 + t + l*g and give j. -375 Rearrange 104 - 69 - 17*f + 15*f to q*f + i and give i. 35 Express (-15 - 18 - 11)*(3*c - c - 3*c) + (-3 + 4 - 3)*(-c + 5*c - 3*c) as j + f*c and give f. 42 Rearrange (0*k + 0*k + 2*k)*((-9*k - 17*k + 4*k)*(-2*k**2 + 2*k**2 - 2*k**2) - k**3 + 2*k**3 - 3*k**3) to f*k**3 + u*k**2 + j*k + l*k**4 + c and give l. 84 Rearrange (336 + 486 - 597)*(3*q**4 + 0*q**4 + q**4) to x*q**4 + s + n*q**3 + a*q**2 + u*q and give x. 900 Rearrange -19 + 2106*a**3 + 1 - 4*a**2 - 2*a**2 - 2105*a**3 + 2*a to k*a**3 + l*a + x + b*a**2 and give k. 1 Express (0*j**2 + 3*j**2 - 4*j**2)*(37 + 11*j - 41 - 3 - 34) as a + o*j**3 + v*j**2 + c*j and give c. 0 Express 4 + 821*u - 1 - 1 - 1012*u in the form t*u + g and give g. 2 Rearrange -5*f**2 - 30*f**2 + 5*f**2 + (0*f + 0*f + 3*f)*(5*f - f - 3*f) to a*f**2 + z*f + g and give a. -27 Express (0*c**2 + 0*c**2 + 2*c**2)*(-28*c - 9*c - 46*c) + 8*c**3 + 3*c**3 - 3*c**3 in the form v*c**3 + w*c + b + u*c**2 and give v. -158 Express 65*x - 140*x + 73*x + 252*x**2 as t*x**2 + h*x + s and give t. 252 Express -10*b**4 - 12*b**4 - 2*b + 16*b**4 + 8*b**2 + b**3 as s*b**4 + r*b + l + p*b**2 + i*b**3 and give i. 1 Rearrange (-117*x**2 + 213*x**2 - 68*x**2)*(9 - 23 + 0) to the form i*x + z + k*x**2 and give k. -392 Express l**4 + 19*l - 1 + 3*l**2 + 2 - 6744*l**3 + 3*l**2 + 6742*l**3 as q*l**4 + x*l**3 + n*l + k + i*l**2 and give k. 1 Express 163*v**3 - 50*v**3 - 45*v**3 + 7*v**2 + 2*v**2 + 1 in the form n + g*v + h*v**3 + j*v**2 and give h. 68 Rearrange (5 - 1 - 3)*(-4*u**3 - 121*u**2 + 88*u**2 + 2*u**3) to q*u**3 + j*u + f + v*u**2 and give f. 0 Rearrange 0*a**3 + 12 - 2*a**4 - 3*a + 7*a + 2*a**3 + 4 - 18 to the form k*a**3 + b*a**2 + m*a**4 + t*a + d and give d. -2 Express ((1 - 1 - 2)*(2*s - 5*s + 2*s) - s + 3*s - 3*s)*(6 - 6 - 44) in the form v*s + t and give t. 0 Express (-34*p + 2*p**2 + 1 - 38*p + 79*p)*(-12 + 12 + 15*p) in the form q + b*p**2 + n*p**3 + j*p and give n. 30 Rearrange 2*m - 5*m**3 - 2445 + 2*m**2 - m + 2445 to the form q*m**2 + j*m**3 + i + o*m and give j. -5 Express 115*h**2 + h + 10 + 0*h - 4 - 4 - 3 in the form d*h**2 + w + z*h and give w. -1 Rearrange 0*d**2 + 103 - 4*d**2 + 0*d**2 - 106 + 22*d to x*d**2 + t + c*d and give t. -3 Express 121*a**2 + 4 - 20*a**2 + 0 - 2 as s*a**2 + c + i*a and give c. 2 Express 12*d + 30*d**2 - 16*d - 24*d**2 as x*d + f + j*d**2 and give j. 6 Rearrange ((0 - 2 - 1)*(-3 + 3 + 11*h) + 4*h + 22*h - 10*h)*(h**2 + 0*h**2 + h**2) to the form b + y*h + p*h**3 + n*h**2 and give p. -34 Express 6245*d**2 + 7*d - 11 + 6243*d**2 - 12486*d**2 + (-2*d - 3*d + 3*d)*(-d + 0*d - d) as p*d**2 + t*d + g and give g. -11 Express -28018 + 28018 + 42*t**2 in the form r*t**2 + u*t + l and give r. 42 Express (-7*i**3 + 1256 - 5*i**2 - 2*i - 1256)*(3 - 2 + 2) as d*i**2 + p*i**3 + b + k*i and give p. -21 Rearrange -13*a**4 - a**2 + 2*a**3 + 1977 - 1975 - 3*a**3 to i*a**4 + w*a**3 + h + y*a**2 + j*a and give h. 2 Express 9379 + 51*j**2 - 9379 - 8*j in the form q*j**2 + o*j + m and give o. -8 Express (4 - 2 - 1 - d**4)*(13 + 42 - 15)*(-3 + 4 + 1) in the form q*d + r*d**4 + m*d**3 + o + p*d**2 and give o. 80 Rearrange (y - 6*y - 3*y)*(-8*y**2 - 30*y**2 + 50*y**2)*(-2*y + 3*y - 3*y) to the form r + a*y**2 + l*y**3 + i*y**4 + b*y and give i. 192 Express 18*n**3 - 14*n**3 + 5*n**2 - 6*n**3 + 2*n + 3*n**4 + 2 as a*n + q*n**4 + x*n**2 + w*n**3 + y and give q. 3 Rearrange 8*h**2 + 182*h - 292*h - 5 + 99*h to the form q + d*h**2 + n*h and give d. 8 Express (-3 - 1 + 3)*(3*p - 3*p + 2*p) - 1674 - 44*p + 1674 + 4*p - 2*p - p in the form l*p + r and give r. 0 Rearrange 204*x**2 + 223*x**2 + 71*x**2 - 133*x**2 to the form c*x + w*x**2 + q and give w. 365 Rearrange (-196 - 578 - 325)*(-3*h + 0*h + 5*h) to v*h + z and give v. -2198 Express (4 - 1 - 6)*(16 + 7*y - 16) + 13*y - 2*y + y as s*y + q and give s. -9 Express (15*i**3 + 16 - 14*i**3 - 5*i**3 - 12)*(12*i - 9*i + 13*i) in the form d*i**3 + b + l*i + y*i**2 + h*i**4 and give h. -64 Rearrange -1 + 2*q**3 - 4*q**3 + 2 + (-3*q + 6*q - q)*(3115*q - 3115*q + 670*q**2) to r + g*q**3 + p*q + h*q**2 and give g. 1338 Rearrange 22 - 9*n**2 + 19 - 22*n**3 - 40 to z*n**3 + u*n + t*n**2 + m and give t. -9 Express -2*j + 10 + 2463*j**3 + 6*j - 2467*j**3 - 6*j**2 + 7*j**2 as x*j**3 + o + z*j**2 + f*j and give x. -4 Express (-12*q - 21*q + 147 + 35*q)*((-1 - 1 + 3)*(-4 - 1 + 3) + 3 - 3 - 1) in the form d + k*q and give k. -6 Express (r**3 + 0 + 0)*((3 + 25 + 3)*(5*r - 2 + 2) + (-2*r - 2*r + 5*r)*(2 + 2 - 2) + 0*r + r - 2*r) in the form i*r**3 + j*r**4 + c*r**2 + p + d*r and give j. 156 Express 7*i - 4*i - 2*i + 4*i - 3*i as d + l*i and give l. 2 Express -943*o**2 + 2442*o**2 - 1108*o**2 in the form u*o + x + i*o**2 and give i. 391 Express 2*a - 59*a**2 - 2*a + 105*a**2 as h + w*a**2 + v*a and give w. 46 Express 324*g**3 - 13*g**2 + g + 335*g**3 - 666*g**3 + (2*g - 5 + 5)*(2 - 2 - 2*g**2) - 2*g**3 + g**3 + 2*g**3 as o*g**3 + n + k*g + f*g**2 and give o. -10 Express (1 + 0 - 2)*(-3 + 7 - 2)*(19 + 19 - 15)*(0 - 11*n + 0) in the form i + u*n and give u. 506 Rearrange (-2 - 3*s + 2)*(-1 + 5 - 11)*(-50 + 50 + 5*s) to the form l + m*s**2 + w*s and give w. 0 Rearrange -11*s - 10 + 10 + (-2*s + s + 3*s)*(-1 - 1 - 2) - 2 + 2 + s to y*s + i and give y. -18 Rearrange -2 + 2 + b + (-b - 5*b + 5*b)*(-2 - 1 + 1) + 2*b - b + 0*b - 15 - 13 + 25 - 10*b + (25 - 25 + 5*b)*(2 + 2 - 5) to the form k*b + a and give k. -11 Rearrange -20737*q + 20737*q
{ "pile_set_name": "DM Mathematics" }
5, -590, -991, -1372, -1727, -2050, -2335? h**3 + h**2 - 425*h + 248 What is the m'th term of -28, 340, 958, 1826? 125*m**2 - 7*m - 146 What is the f'th term of -4334, -8687, -13058, -17447? -9*f**2 - 4326*f + 1 What is the f'th term of -469, -769, -1071, -1375? -f**2 - 297*f - 171 What is the d'th term of 265, 806, 1345, 1882, 2417, 2950? -d**2 + 544*d - 278 What is the j'th term of -412, -766, -1120, -1474, -1828? -354*j - 58 What is the z'th term of 97, 189, 283, 379, 477, 577? z**2 + 89*z + 7 What is the f'th term of 380040, 380028, 380016, 380004? -12*f + 380052 What is the u'th term of 14599, 29358, 44117, 58876, 73635? 14759*u - 160 What is the f'th term of 5815269, 11630538, 17445807? 5815269*f What is the n'th term of 468, 584, 696, 804, 908, 1008, 1104? -2*n**2 + 122*n + 348 What is the o'th term of -32176, -32179, -32182, -32185? -3*o - 32173 What is the y'th term of -2608, -2625, -2678, -2785, -2964, -3233, -3610? -3*y**3 + 4*y - 2609 What is the y'th term of -45182, -45281, -45366, -45431, -45470? y**3 + y**2 - 109*y - 45075 What is the a'th term of 210, 395, 566, 723? -7*a**2 + 206*a + 11 What is the f'th term of -90, -517, -1692, -3993, -7798, -13485, -21432? -63*f**3 + 4*f**2 + 2*f - 33 What is the y'th term of 9792, 9777, 9754, 9723? -4*y**2 - 3*y + 9799 What is the x'th term of 677, 1369, 2063, 2759? x**2 + 689*x - 13 What is the m'th term of -21732, -43453, -65174? -21721*m - 11 What is the z'th term of 64788, 64808, 64826, 64842? -z**2 + 23*z + 64766 What is the o'th term of 1143, 1011, 879, 747, 615, 483? -132*o + 1275 What is the a'th term of 210, 967, 1710, 2433, 3130, 3795? -a**3 - a**2 + 767*a - 555 What is the l'th term of 690, 756, 940, 1302, 1902? 10*l**3 - l**2 - l + 682 What is the f'th term of -167, -297, -427, -557? -130*f - 37 What is the y'th term of -3390, -6818, -10270, -13746, -17246? -12*y**2 - 3392*y + 14 What is the b'th term of -1680, -1659, -1618, -1551, -1452, -1315, -1134, -903? b**3 + 4*b**2 + 2*b - 1687 What is the d'th term of 303, 2241, 7449, 17547, 34155? 270*d**3 + 15*d**2 + 3*d + 15 What is the g'th term of 2995, 2196, 871, -974, -3333, -6200, -9569, -13434? g**3 - 269*g**2 + g + 3262 What is the p'th term of 2808, 2750, 2678, 2598, 2516, 2438? p**3 - 13*p**2 - 26*p + 2846 What is the p'th term of -2030, -2031, -2030, -2027? p**2 - 4*p - 2027 What is the n'th term of 137, 7, -551, -1753, -3815, -6953? -36*n**3 + 2*n**2 + 116*n + 55 What is the d'th term of 4319, 8582, 12749, 16772, 20603, 24194, 27497? -8*d**3 + 4319*d + 8 What is the c'th term of 3667, 2989, 2309, 1627? -c**2 - 675*c + 4343 What is the f'th term of 1192, 2399, 3606, 4813? 1207*f - 15 What is the f'th term of -9187, -18385, -27583, -36781? -9198*f + 11 What is the q'th term of -5, 28, 83, 160? 11*q**2 - 16 What is the i'th term of -1640, -6582, -14878, -26576, -41724, -60370? -8*i**3 - 1629*i**2 + i - 4 What is the d'th term of 47223, 94443, 141663? 47220*d + 3 What is the w'th term of -156727, -156719, -156721, -156739, -156779, -156847, -156949, -157091? -w**3 + w**2 + 12*w - 156739 What is the v'th term of 16370, 16360, 16350, 16340, 16330, 16320? -10*v + 16380 What is the l'th term of -42, -236, -732, -1680, -3230, -5532? -25*l**3 - l**2 - 16*l What is the d'th term of -1854, -1843, -1832? 11*d - 1865 What is the k'th term of 79, 115, 173, 259, 379, 539, 745? k**3 + 5*k**2 + 14*k + 59 What is the d'th term of -4579, -4601, -4633, -4681, -4751, -4849? -d**3 + d**2 - 18*d - 4561 What is the l'th term of -532, -479, -320, -1, 532, 1333, 2456, 3955? 9*l**3 - l**2 - 7*l - 533 What is the m'th term of -10711, -10703, -10681, -10639, -10571, -10471? m**3 + m**2 - 2*m - 10711 What is the h'th term of 1640, 3290, 4968, 6686, 8456? 2*h**3 + 2*h**2 + 1630*h + 6 What is the g'th term of -13, 917, 2787, 5597, 9347, 14037, 19667? 470*g**2 - 480*g - 3 What is the p'th term of -72905, -72906, -72907, -72908, -72909? -p - 72904 What is the f'th term of 14621, 29237, 43853, 58469, 73085? 14616*f + 5 What is the s'th term of -530, -1709, -3676, -6431? -394*s**2 + 3*s - 139 What is the h'th term of -2409, -9822, -22249, -39696, -62169, -89674, -122217? -h**3 - 2501*h**2 + 97*h - 4 What is the p'th term of -1125755, -1125756, -1125757? -p - 1125754 What is the h'th term of -88670, -177339, -266008, -354677? -88669*h - 1 What is the m'th term of 497, 782, 1055, 1310, 1541, 1742, 1907? -m**3 + 292*m + 206 What is the t'th term of 1115893, 1115894, 1115895, 1115896, 1115897, 1115898? t + 1115892 What is the h'th term of 3471, 13395, 29775, 52611, 81903, 117651? 3228*h**2 + 240*h + 3 What is the x'th term of -60225, -120449, -180673, -240897, -301121, -361345? -60224*x - 1 What is the f'th term of 29089, 29102, 29129, 29176, 29249, 29354, 29497, 29684? f**3 + f**2 + 3*f + 29084 What is the k'th term of 12872, 25741, 38610, 51479, 64348? 12869*k + 3 What is the n'th term of 45055, 90127, 135213, 180313? 7*n**2 + 45051*n - 3 What is the q'th term of 2966, 3039, 3168, 3359, 3618, 3951? q**3 + 22*q**2 + 2943 What is the s'th term of 1110, 1090, 1066, 1044, 1030, 1030, 1050? s**3 - 8*s**2 - 3*s + 1120 What is the k'th term of 17762, 35672, 53582, 71492, 89402, 107312? 17910*k - 148 What is the f'th term of -8794, -8743, -8692? 51*f - 8845 What is the v'th term of -421, -828, -1233, -1648, -2085, -2556, -3073, -3648? -2*v**3 + 13*v**2 - 432*v What is the x'th term of -800, -1656, -2528, -3422, -4344, -5300, -6296? -x**3 - 2*x**2 - 843*x + 46 What is the l'th term of -2129802, -2129803, -2129804, -2129805, -2129806? -l - 2129801 What is the b'th term of -831, -1858, -3079, -4494, -6103, -7906? -97*b**2 - 736*b + 2 What is the b'th term of 244, 245, 246, 247, 248? b + 243 What is the n'th term of -3798, -7621, -11466, -15345, -19270, -23253, -27306? -2*n**3 + n**2 - 3812*n + 15 What is the m'th term of 139, 634, 1475, 2662, 4195, 6074, 8299? 173*m**2 - 24*m - 10 What is the z'th term of -62567, -62568, -62569, -62570, -62571, -62572? -z - 62566 What is the t'th term of -766, -793, -834, -889, -958? -7*t**2 - 6*t - 753 What is the n'th term of 2268, 4399, 6530, 8661, 10792, 12923? 2131*n + 137 What is the k'th term of 79, 245, 523, 913, 1415? 56*k**2 - 2*k + 25 What is the l'th term of 8117, 8128, 8139, 8150, 8161, 8172? 11*l + 8106 What is the a'th term of -271075, -271072, -271069? 3*a - 271078 What is the n'th term of -497, -2124, -4887, -8786, -13821, -19992? -568*n**2 + 77*n - 6 What is the l'th term of -4854, -4894, -4934, -4974, -5014? -40*l - 4814 What is the h'th term of -108387, -216771, -325153, -433533, -541911? h**2 - 108387*h - 1 What is the h'th term of 2718, 2727, 2736? 9*h + 2709 What is the r'th term of 60102, 120206, 180310? 60104*r - 2 What is the v'th term of -493, -1009, -1515, -2011, -2497? 5*v**2 - 531*v + 33 What is the v'th term of 2313, 9245, 20795, 36963? 2309*v**2 + 5*v - 1 What is the x'th term of 12571, 25144, 37717, 50290, 62863? 12573*x - 2 What is the l'th term of -40, -17, 12, 41, 64, 75? -l**3 + 9*l**2 + 3*l - 51 What is the r'th term of -34072, -34074, -34076, -34078, -34080, -34082? -2*r - 34070 What is the k'th term of -315, -527, -739, -951? -212*k - 103 What is the t'th term of -146, -1434, -4992, -11954, -23454? -189*t**3 - t**2 + 38*t + 6 What is the j'th term of -21929, -43856, -65783, -87710? -21927*j - 2 What is the m'th term of -50538, -101043, -151546, -202047, -252546? m**2 - 50508*m - 31 What is the h'th term of 520704, 520707, 520708, 520707? -h**2 + 6*h + 520699 What is the y'th term of 538, 811, 1086, 1363? y**2 + 270*y + 267 What is the t'th term of -1333, -1336, -1339? -3*t - 1330 What is the z'th term of -4355, -8735, -13105, -17459, -21791? z**3 - z**2 - 4384*z + 29 What is the q'th term of 7142, 7150, 7158, 7160, 7150, 7122, 7070, 6988? -q**3 + 6*q**2 - 3*q + 7140 What is the h'th term of -18506, -37012, -55502, -73970, -92410, -110816? h**3 + 2*h**2 - 18519*h + 10 What is the s'th term of 10, -22, -54, -86, -118? -32*s + 42 What is the b'th term of 809553, 809551, 809549, 809547, 809545? -2*b + 809555 What is the q'th term of -53, -104, -201, -344, -533? -23*q**2 + 18*q - 48 What is the y'th term of -8785, -8712, -8639, -8566, -8493? 73*y - 8858 What is the i'th term of 14997, 15101, 15273, 15
{ "pile_set_name": "DM Mathematics" }
from {j: 1, h: 1, t: 5, z: 2, a: 7}. What is prob of sequence jtz? 1/336 Three letters picked without replacement from absbssssssbsb. Give prob of sequence bsa. 8/429 Calculate prob of sequence rjgr when four letters picked without replacement from grrrrrgrrrjrvlvlj. 3/595 Two letters picked without replacement from {u: 2, g: 1, n: 1, q: 1}. Give prob of sequence qn. 1/20 Four letters picked without replacement from jljtholllhtqlo. Give prob of sequence joqo. 1/6006 What is prob of sequence sd when two letters picked without replacement from {s: 2, j: 1, d: 4}? 4/21 Two letters picked without replacement from {l: 5, e: 4, z: 1, f: 1}. Give prob of sequence el. 2/11 Two letters picked without replacement from {h: 1, l: 1, b: 1, m: 2, c: 1, g: 1}. What is prob of sequence gh? 1/42 What is prob of sequence cccc when four letters picked without replacement from ccccc? 1 Calculate prob of sequence tj when two letters picked without replacement from gjjjgfjjjjgjjggjt. 5/136 What is prob of sequence awwv when four letters picked without replacement from {v: 2, a: 10, t: 3, m: 3, w: 2}? 1/2907 What is prob of sequence qtd when three letters picked without replacement from bdttqbqos? 1/126 What is prob of sequence sg when two letters picked without replacement from sssssssssgssssssss? 1/18 Two letters picked without replacement from {x: 1, i: 5, m: 4}. What is prob of sequence mm? 2/15 Three letters picked without replacement from {u: 7, c: 9}. Give prob of sequence ucc. 3/20 Three letters picked without replacement from ypppypyjypyyppppppp. Give prob of sequence yjy. 5/969 Four letters picked without replacement from {i: 1, m: 1, l: 1, t: 2}. What is prob of sequence ittm? 1/60 Two letters picked without replacement from nnuhi. Give prob of sequence hn. 1/10 Three letters picked without replacement from xxxffffxxxfxxfffffx. Give prob of sequence xff. 45/323 Calculate prob of sequence izd when three letters picked without replacement from {z: 3, l: 2, i: 1, d: 6, f: 6}. 1/272 Two letters picked without replacement from chccunfufguffgc. What is prob of sequence nc? 2/105 Three letters picked without replacement from {v: 3, i: 2, x: 4, c: 2, u: 2, y: 1}. What is prob of sequence cxv? 1/91 Two letters picked without replacement from {h: 2, o: 3, a: 1, i: 5, y: 1}. Give prob of sequence ho. 1/22 Three letters picked without replacement from {q: 1, m: 9, g: 1, n: 4, p: 5}. What is prob of sequence mgn? 1/190 Four letters picked without replacement from {k: 5, p: 8}. What is prob of sequence kpkk? 4/143 Three letters picked without replacement from {j: 1, p: 1, a: 2, d: 1}. Give prob of sequence adj. 1/30 Calculate prob of sequence nzz when three letters picked without replacement from zzzznzzzzzzzzzzzzz. 1/18 What is prob of sequence ene when three letters picked without replacement from ennennn? 1/21 Calculate prob of sequence uoo when three letters picked without replacement from oooououoo. 1/6 What is prob of sequence bwb when three letters picked without replacement from {r: 2, w: 2, b: 4, e: 5}? 2/143 What is prob of sequence lxxl when four letters picked without replacement from llllllllxllllllllxl? 1/171 What is prob of sequence lva when three letters picked without replacement from ivqhhlvaavav? 1/110 Calculate prob of sequence jjj when three letters picked without replacement from {y: 2, j: 5, f: 2}. 5/42 Calculate prob of sequence tj when two letters picked without replacement from tjtjttjjjj. 4/15 Three letters picked without replacement from {z: 2, m: 8, j: 9}. Give prob of sequence mmz. 56/2907 Two letters picked without replacement from {l: 1, o: 2, j: 1}. Give prob of sequence ol. 1/6 Calculate prob of sequence ww when two letters picked without replacement from {w: 5, c: 3, g: 2}. 2/9 Four letters picked without replacement from {k: 6, p: 5, f: 4}. Give prob of sequence ppkk. 5/273 What is prob of sequence ji when two letters picked without replacement from {j: 2, d: 1, u: 2, b: 1, i: 2}? 1/14 Three letters picked without replacement from {g: 4, m: 6, x: 3, l: 1}. Give prob of sequence mmx. 15/364 Calculate prob of sequence ilvi when four letters picked without replacement from {q: 1, o: 1, i: 1, p: 4, v: 2, l: 6}. 0 What is prob of sequence jbbn when four letters picked without replacement from {q: 1, p: 1, o: 4, b: 4, n: 2, j: 3}? 1/455 Calculate prob of sequence clg when three letters picked without replacement from vmvclgymgvymmmmvm. 1/2040 Four letters picked without replacement from {n: 2, p: 4, w: 3, h: 4, q: 3}. Give prob of sequence wnhn. 1/1820 Three letters picked without replacement from {h: 3, n: 13}. What is prob of sequence hnn? 39/280 Calculate prob of sequence fkfx when four letters picked without replacement from kxccxfcfcccc. 1/2970 Calculate prob of sequence hh when two letters picked without replacement from {h: 2, g: 1, a: 2, l: 1}. 1/15 Calculate prob of sequence bj when two letters picked without replacement from {j: 2, b: 2, l: 4, t: 2, s: 1, z: 8}. 2/171 Two letters picked without replacement from yvrjqbrbvbbbj. Give prob of sequence vv. 1/78 Two letters picked without replacement from {l: 5, q: 2, n: 3, o: 2, j: 8}. What is prob of sequence nq? 3/190 What is prob of sequence jn when two letters picked without replacement from wsjssswnwnyjsswsjp? 1/51 What is prob of sequence tj when two letters picked without replacement from {j: 2, h: 3, t: 3}? 3/28 Three letters picked without replacement from vppkbkkjbvvbbjpppkjp. Give prob of sequence vbp. 1/95 Calculate prob of sequence nwnn when four letters picked without replacement from {w: 2, n: 3, y: 3}. 1/140 Calculate prob of sequence ax when two letters picked without replacement from ixnai. 1/20 Two letters picked without replacement from pcp. What is prob of sequence pp? 1/3 What is prob of sequence xtk when three letters picked without replacement from {t: 2, x: 4, d: 2, k: 3}? 4/165 Four letters picked without replacement from dcdfffddff. What is prob of sequence ffff? 1/42 Two letters picked without replacement from ssussyssssxsyxcscyc. What is prob of sequence cu? 1/114 Two letters picked without replacement from {f: 1, j: 1, a: 4, y: 1, m: 2}. Give prob of sequence ja. 1/18 Four letters picked without replacement from {d: 1, j: 1, i: 2, s: 4, m: 7}. Give prob of sequence ssim. 1/195 Calculate prob of sequence aoa when three letters picked without replacement from {o: 9, a: 4, h: 1}. 9/182 Two letters picked without replacement from qgggcwggr. What is prob of sequence gg? 5/18 Two letters picked without replacement from ooooqqooqo. What is prob of sequence oo? 7/15 Three letters picked without replacement from aaavvaavava. What is prob of sequence vav? 14/165 What is prob of sequence ma when two letters picked without replacement from ykaakam? 1/14 What is prob of sequence hphp when four letters picked without replacement from {e: 4, d: 1, p: 2, h: 9}? 3/910 What is prob of sequence oxot when four letters picked without replacement from {l: 6, t: 3, y: 1, o: 5, x: 3, z: 2}? 1/646 Two letters picked without replacement from {a: 1, x: 1, p: 1, s: 1, w: 1, r: 2}. What is prob of sequence pa? 1/42 Two letters picked without replacement from qqrrrrrrrlrlrqr. What is prob of sequence rr? 3/7 Three letters picked without replacement from {e: 2, w: 1, v: 1, a: 2, m: 1, k: 1}. What is prob of sequence kmk? 0 Calculate prob of sequence livl when four letters picked without replacement from iivlvvvwvllssssiviv. 7/3876 What is prob of sequence vev when three letters picked without replacement from vesdssddvvdvdd? 1/182 Three letters picked without replacement from {j: 4, t: 14}. Give prob of sequence tjt. 91/612 What is prob of sequence et when two letters picked without replacement from tetruul? 1/21 Four letters picked without replacement from {l: 3, v: 1, n: 9, b: 2, y: 2, u: 3}. Give prob of sequence vubu. 1/9690 What is prob of sequence zh when two letters picked without replacement from uacfhza? 1/42 What is prob of sequence tqk when three letters picked without replacement from {t: 1, q: 1, p: 9, k: 4, a: 3}? 1/1224 Three letters picked without replacement from gedhdhdgkkhhkekdked. What is prob of sequence kde? 25/1938 Calculate prob of sequence ll when two lett
{ "pile_set_name": "DM Mathematics" }
+ 0*l**5 - 3*l**5 wrt l? -200*l**3 Suppose -8 = -4*a - 0. Differentiate -10*q**2 + 2*q**2 + 3 + a + 0 wrt q. -16*q Let p(f) be the first derivative of -f**5/10 - f**4/2 + 5*f - 1. Let m(z) be the first derivative of p(z). Find the third derivative of m(x) wrt x. -12 Let p(j) = j**3 - 4*j**2 + 2. Suppose b + 3*b = 4*l + 20, 3*b - 7 = -5*l. Let n be p(b). Find the second derivative of n*f - f**5 + 0*f**5 + 0*f wrt f. -20*f**3 What is the derivative of -6*u**4 - 18*u**3 + 26*u**4 - 72 + 18*u**3 wrt u? 80*u**3 Let a(j) be the first derivative of -j**9/1512 + j**6/180 - j**3 + 2. Let n(z) be the third derivative of a(z). Find the third derivative of n(h) wrt h. -120*h**2 Find the second derivative of -7*h + 29*h + 6*h**4 - 9*h wrt h. 72*h**2 What is the third derivative of t**5 + 0*t**2 + t**2 - 9*t**5 - 9*t**2 wrt t? -480*t**2 What is the second derivative of i**3 - 8*i + 3*i**3 + 3*i**3 wrt i? 42*i Suppose 4*s = -0*u - u - 12, -5*u + 36 = -4*s. Differentiate -2*d**2 - 2 + 6*d**2 - u*d**2 - 4*d**4 wrt d. -16*d**3 Let d(x) be the first derivative of 10*x**3/3 - 11*x - 4. What is the first derivative of d(m) wrt m? 20*m Let t be (5 - (0 + 5))/2. Let k(z) be the second derivative of -1/4*z**4 + 3/20*z**5 + t*z**2 + 0*z**3 + z + 0. What is the third derivative of k(y) wrt y? 18 Let o(g) be the second derivative of 0 + 1/3*g**3 + 3*g - 5/2*g**2. What is the first derivative of o(s) wrt s? 2 What is the second derivative of 2*m**5 - 9*m - 3*m + 5*m**5 wrt m? 140*m**3 Let m(p) = 46*p**2 - 83. Let o(h) = -15*h**2 + 28. Let q(d) = 6*m(d) + 17*o(d). Differentiate q(w) wrt w. 42*w Let f = -69 + 141/2. Let j(m) be the second derivative of 0 + f*m**2 + m - 1/3*m**3. What is the derivative of j(v) wrt v? -2 Let j(m) = -3*m + 1. Let o be j(-3). Suppose o = -q + 6*q. What is the derivative of 1 + 4 - q*w - 4 wrt w? -2 Let o be 184/40 - (-6)/(-10). What is the third derivative of -15*x**o + 2*x**6 + 9*x**2 - 2*x**2 + 15*x**4 wrt x? 240*x**3 Let s(f) = -2*f**2 - 2*f**2 + 3*f**2. Let a(p) = 15*p**2 - 3*p. Let n(q) = a(q) + 12*s(q). What is the second derivative of n(k) wrt k? 6 Let k(x) = 18*x**4 + 7*x**3 + 7*x**2 + 16. Let l(w) = 17*w**4 + 6*w**3 + 6*w**2 + 15. Let h(b) = -6*k(b) + 7*l(b). Find the first derivative of h(z) wrt z. 44*z**3 Let s be (-3)/12 + (-28)/16. Let y(r) = 8*r**2 + 5*r + 2. Let f(v) = 4*v**2 + 2*v + 1. Let i(w) = s*y(w) + 5*f(w). Differentiate i(d) with respect to d. 8*d Let p(m) = 13*m**3 - 9*m + 3. Let f(n) = -26*n**3 + 19*n - 5. Let u(a) = 3*f(a) + 5*p(a). What is the second derivative of u(z) wrt z? -78*z Let x(o) be the second derivative of 0*o**3 - 3*o + 1/10*o**5 + 0 + 0*o**4 - o**2. Differentiate x(c) wrt c. 6*c**2 Let d(v) be the second derivative of -19*v**3/6 - 3*v**2/2 - 3*v. Differentiate d(o) with respect to o. -19 Let s(d) be the third derivative of -1/15*d**5 + 0*d + 1/2*d**3 + 0 + 0*d**4 - 2*d**2. Differentiate s(w) wrt w. -8*w Let s(f) = 9*f**4 - 2*f**3 - 6. Let b(w) = -w**3 + 1. Let g(t) = 4*b(t) - 2*s(t). What is the derivative of g(m) wrt m? -72*m**3 Suppose -5*s = 8 + 7. Let p(o) = 2*o**3 - 7*o**2 - 3. Let c(y) = y**3 + 1. Let h(g) = s*c(g) - p(g). Find the third derivative of h(f) wrt f. -30 Let z(f) be the first derivative of 0*f**5 + 0*f**2 + 0*f - 3/7*f**7 - 2/3*f**3 + 0*f**4 + 0*f**6 - 2. Find the third derivative of z(k) wrt k. -360*k**3 What is the third derivative of -60 + 60 + 41*t**3 + 4*t**2 wrt t? 246 Let p(r) be the first derivative of 0*r + r**3 + 0*r**2 + 0*r**4 + 0*r**5 + 5 + 1/2*r**6. Find the third derivative of p(s) wrt s. 180*s**2 Find the second derivative of -7*g - 9*g + 17*g - 5*g**4 wrt g. -60*g**2 Find the third derivative of 18*o**5 - 5*o**5 - 848 + 848 + 9*o**2 wrt o. 780*o**2 What is the first derivative of -23 + 17*w - 9*w + 3*w + 15*w wrt w? 26 Let i(m) = -m**2. Let n(u) = -32*u**2 - 26. Let z(x) = -3*i(x) - n(x). Differentiate z(k) wrt k. 70*k Let r(d) be the first derivative of -5*d**3/3 - 16*d - 32. What is the first derivative of r(b) wrt b? -10*b Let f(x) be the second derivative of x**4 + x**3/3 + 3*x**2/2 + 5*x. Find the second derivative of f(t) wrt t. 24 Suppose -d - 2*d + 9 = 0. What is the derivative of -d - 3*c - c + 5*c - 4*c wrt c? -3 Let i(l) be the second derivative of -l**7/630 + l**6/720 - l**4/6 + 2*l. Let d(f) be the third derivative of i(f). What is the second derivative of d(u) wrt u? -8 What is the third derivative of 6*b**4 - b**2 + 0*b**2 - 3*b**2 wrt b? 144*b Let r(l) be the first derivative of -l**4/2 - 2*l**3/3 - 19*l**2 + 8. What is the second derivative of r(o) wrt o? -12*o - 4 Let j(b) be the second derivative of 0*b**7 + 0*b**3 + 1/12*b**4 + 0 + 0*b**5 - 3/56*b**8 - 5*b + 0*b**6 + 0*b**2. Find the third derivative of j(i) wrt i. -360*i**3 Let d = 19 - 15. Let z(n) be the second derivative of 3*n - 1/2*n**2 - 1/12*n**d + 0 + 0*n**3. What is the derivative of z(v) wrt v? -2*v Let s(d) = 12*d**4 + 4*d - 5. Let n(o) = o. Let w(l) = -4*n(l) + s(l). What is the derivative of w(x) wrt x? 48*x**3 Let q(w) = -6*w**3 - 22*w + 3. Let g(c) = 7*c**3 + 22*c - 2. Let b(m) = -3*g(m) - 2*q(m). Find the second derivative of b(d) wrt d. -54*d Let j(k) be the third derivative of -7*k**5/60 - 7*k**4/6 - 44*k**2. What is the second derivative of j(d) wrt d? -14 Suppose -3*k + 10 + 5 = 0. Find the first derivative of -4 + k*h**3 + 0 + 0*h**3 - 3*h**3 wrt h. 6*h**2 Let f(m) be the third derivative of m**5/20 - m**3 + 10*m**2. Differentiate f(o) wrt o. 6*o Let s be (0 - 1)*30/6. Let f = s - -8. Find the third derivative of -2*t**2 - t**2 - t**2 + f*t**4 wrt t. 72*t Suppose 4*p = -5*l + 44, -28 = -3*l + l + p. Let i be (-16)/(-6) - (-4)/l. What is the first derivative of 0 - b**2 + i*b**2 + 2 wrt b? 4*b Let v(s) be the first derivative of 2*s**6/3 - 15*s**2/2 + 1. Find the second derivative of v(n) wrt n. 80*n**3 Let d(r) be the third derivative of -r**9/72 - r**5/10 - 6*r**2. Find the third derivative of d(p) wrt p. -840*p**3 Let t(x) = 6*x**2 + 2. Let j be t(-2). What is the third derivative of 16*i**6 - 10*i**2 + 11*i**6 - j*i**6 wrt i? 120*i**3 Let p(j) be the second derivative of -3*j**5/10 - 17*j**2/2 - 18*j. Differentiate p(o) wrt o. -18*o**2 Let i be ((-2)/1)/(6/(-12)). Let r = 7 - 5. What is the derivative of 0 - w**r + 0 - i wrt w? -2*w What is the derivative of 8 + 0 - 2 - 10*z wrt z? -10 Let c(s) be the first derivative of -s**9/1512 + s**6/72 - 8*s**3/3 + 6. Let a(t) be the third derivative of c(t). What is the third derivative of a(f) wrt f? -120*f**2 What is the third derivative of 4*m**2 - 5*m**2 + 5*m**2 - 7*m**4 wrt m? -168*m Let h(l) be the first derivative of 3*l**5/5 - l**2 + 5. What is the second derivative of h(t) wrt t? 36*t**2 Suppose 2*s - 5*r - 35 = 0, 2*s - s = -r. Let i = s + -2. Find the third derivative of -y**2 - y**5 + y**i - 6*y**3 + 5*y**3 wrt y. -60*y**2 Let w(u) = -u**3 - 9*u**2 - 6. Let g(j) = -9*j**2 - 5 + 0 + j**2. Let c(m) = -6*g(m) + 5*w(m). Find the third derivative of c(a) wrt a. -30 Let s(l) be the second derivative of -3*l**7/7 + 3*l**3/2 - 2*l. Find the second derivative of s(d) wrt d. -360*d**3 Let n(y) be the first derivative of 0*y**2 + 1/3*y**6 + 3 + 0*y**5 + 0*y**4 + 0*y + 2/3*y**3. What is the third derivative of n(s) wrt s? 120*s**2 Suppose 3*c = 27 + 9. Let n be (-9)/(-2)*c/9. What is the third derivative of n*t**5 + t**2 - 2*t**5 - t**5 wrt t? 180*t**2 Let x = -2 - -5. Suppose -h + 32 = 5*m, 2*m + 2*m = 3*h + 18. Find the third derivative of -3*y**2 + 2*y**2 + 0*y**x + 0*y**3 + 3*y**m wrt y. 360*y**3 Let g(m) = -m**3 + m**2 + 3. Let a be g(0). Let b be (a/(-5))/(6/(-30)). Find the third derivative of -3*w**4 - 2*w**2 + 2*w**4 - 3*w + b*w wrt w. -24*w Suppose -2*n + 5*n - 39 = 3*j, -2*j = -4*n + 48. What is the second derivative of -n*h + h**4 + 4*h + 4*h wrt h? 12*h**2 Let h(b) = -b**4 + b**3 + b**2 + b + 1. Let o(a) = 2*a**4 + 2*a**3 + 2*a**2 + 2*a - 9. Let w(s) = -2*h(s) + o(s). What is the derivative of w(k) wrt k? 16*k**3 Let s(v) = -10*v**2 - 14*v + 8. Let i(k) = 3*k**2 + 5*k - 3. Let b(y) = 8*i(y) + 3*s(y). Find the second derivative of b(n) wrt n. -12 Let u = -1 - -3. Find the third derivative of y**2 + y**5 - 3*y**u + 2*y**2 + 2*y**2 wrt y. 60*y**2 Let w(r) = 10*r**3 - 18*r**2 - 6*r + 6. Let q(l) = l**3 + l**2 + l - 1.
{ "pile_set_name": "DM Mathematics" }
le of 1952? False Is 141776600 a multiple of 2450? True Does 12 divide 1005690374? False Is 25588611 a multiple of 453? True Is 9 a factor of 5479947? True Does 394 divide 23622270? True Is 2293 a factor of 97115429? True Is 40985404 a multiple of 82? True Does 53 divide 32032607? False Does 1549 divide 22558087? True Does 4 divide 2823345? False Does 117 divide 321219244? False Is 420 a factor of 8686440? True Is 2058 a factor of 168153723? False Is 82025136 a multiple of 243? True Is 3113 a factor of 48242237? False Does 113 divide 62273455? False Is 82375370 a multiple of 70? True Is 392266854 a multiple of 42? True Is 200527523 a multiple of 67? False Is 160731596 a multiple of 168? False Does 323 divide 613998430? False Does 50 divide 12825150? True Is 195706931 a multiple of 4328? False Is 36 a factor of 230685927? False Does 2894 divide 199247953? False Does 866 divide 48872223? False Is 3 a factor of 13530360? True Is 36 a factor of 164896704? True Is 534 a factor of 30560286? True Is 11 a factor of 348983503? True Is 58999290 a multiple of 7? True Is 26 a factor of 943756710? True Is 88023606 a multiple of 777? False Is 274 a factor of 75717160? True Does 16 divide 8026160? True Does 15 divide 395410305? True Is 95213073 a multiple of 2755? False Does 920 divide 81698573? False Does 5666 divide 2515179571? False Does 11 divide 8995228? True Does 422 divide 26812922? False Is 1884 a factor of 54029305? False Is 912 a factor of 430558848? True Does 29 divide 46464702? False Does 10 divide 69738992? False Is 1335302558 a multiple of 174? False Is 622360722 a multiple of 402? True Is 6693120 a multiple of 2? True Is 21 a factor of 60040176? True Is 242 a factor of 11540738? True Is 36875974 a multiple of 127? True Is 6243915 a multiple of 591? True Does 51 divide 1170358423? False Does 203 divide 3198286180? False Is 13 a factor of 42614559? True Is 3211 a factor of 27680537? False Does 9 divide 39977839? False Is 133748928 a multiple of 2512? True Is 41 a factor of 3661645064? False Is 14196700 a multiple of 14? True Is 141 a factor of 79083234? True Is 831 a factor of 108247300? False Is 24 a factor of 137245200? True Does 327 divide 148815555? False Is 113961225 a multiple of 35? True Is 52755606 a multiple of 207? True Does 937 divide 10905079? False Does 279 divide 447591888? True Is 14 a factor of 991400338? False Is 24 a factor of 4182451535? False Is 983448619 a multiple of 109? False Does 62 divide 38856904? False Does 316 divide 5141810? False Is 23 a factor of 938550696? True Is 669479330 a multiple of 13? True Is 58197735 a multiple of 19? False Does 7 divide 19930237? False Is 16 a factor of 7198189? False Is 12184273 a multiple of 321? False Does 207 divide 1213184? False Is 11 a factor of 16711629? True Is 453254 even? True Is 45 a factor of 28289250? True Is 756 a factor of 48078576? True Is 772236883 a multiple of 598? False Is 957166650 a multiple of 990? True Is 11999055 a multiple of 15? True Is 375 a factor of 508934250? True Is 30880325 a multiple of 25? True Is 444185234 a multiple of 9? False Is 1764415647 a multiple of 103? True Is 3906265 a multiple of 22? False Is 120 a factor of 496220520? True Does 773 divide 422556585? True Does 720 divide 653019840? True Is 3733 a factor of 855972542? False Does 547 divide 53670546? True Does 30 divide 798150930? True Is 2 a factor of 11480344? True Is 2377020 a multiple of 4? True Is 1109881780 a multiple of 1460? True Is 373 a factor of 44992747? False Is 1296 a factor of 26636688? True Is 770397 a multiple of 30? False Is 212 a factor of 2060552? False Is 48 a factor of 143741293? False Does 85 divide 6331055? True Is 6624621 a multiple of 69? True Is 834291904 a multiple of 8? True Does 93 divide 462732364? False Does 42 divide 206108070? True Is 32 a factor of 1022624938? False Is 3 a factor of 4681099? False Is 959273734 a multiple of 31? True Is 63208440 a multiple of 76? True Is 157 a factor of 152748026? False Is 2694919055 a multiple of 25? False Is 7 a factor of 632470944? True Is 44 a factor of 1404757682? False Is 84070430 a multiple of 10? True Does 908 divide 886155847? False Does 77 divide 285693499? False Does 148 divide 1330673388? False Is 1244 a factor of 23118075? False Does 785 divide 96404280? True Does 1808 divide 57279129? False Does 931 divide 32621830? False Is 712 a factor of 22342560? True Is 107 a factor of 313722074? True Is 8696243192 a multiple of 20? False Does 13 divide 182356865? False Is 31 a factor of 140098920? True Is 4804 a factor of 218051781? False Does 91 divide 798211687? True Is 562 a factor of 302729730? True Does 14 divide 25445448? True Is 11508695 a multiple of 11? True Is 76 a factor of 35744700? True Does 2952 divide 450950049? False Does 2689 divide 210308739? False Is 322575344 a multiple of 1456? True Does 295 divide 197540837? False Does 9 divide 188482450? False Is 394 a factor of 14099874? False Is 1076895980 a multiple of 109? False Does 6252 divide 791804327? False Is 10 a factor of 453246600? True Is 3504462 a multiple of 154? False Is 6673971 a multiple of 3? True Is 26205444 a multiple of 162? True Does 15 divide 3907846? False Is 97 a factor of 129097267? False Is 287063275 a multiple of 351? False Is 3667 a factor of 54960996? True Does 2656 divide 128281246? False Does 1042 divide 505246632? False Is 100 a factor of 4466324? False Does 266 divide 2601905334? True Is 1880 a factor of 58793240? True Is 30178677 a multiple of 851? False Does 445 divide 76393150? True Is 139778471 a multiple of 41? True Is 14 a factor of 403555908? True Does 237 divide 8587071? False Is 20 a factor of 125054325? False Is 473391536 a multiple of 428? False Is 1218 a factor of 7043357? False Is 10 a factor of 107008130? True Does 432 divide 449554451? False Is 903716 a multiple of 188? True Does 96 divide 1754935? False Is 59481525 a multiple of 15? True Is 35 a factor of 8689567? False Does 8 divide 27820855? False Is 36157999 a multiple of 277? False Is 10 a factor of 2034522450? True Is 175128576 a multiple of 448? True Is 29200417 a multiple of 3863? True Is 1519 a factor of 1218020783? True Is 2095163613 a multiple of 24? False Is 3 a factor of 771076997? False Does 41 divide 1993379? True Is 1594949984 a multiple of 101? True Is 3587 a factor of 85083640? True Does 76 divide 3956523608? False Is 2252166 a multiple of 23? False Is 195 a factor of 2005720275? True Is 1651845636 a multiple of 1596? True Does 24 divide 331227480? True Is 9859629 a multiple of 39? True Does 5692 divide 142504912? True Does 2142 divide 168642427? False Is 32494893 a multiple of 266? False Is 86837971 a multiple of 32? False Is 8 a factor of 526112936? True Is 57196568 a multiple of 1496? True Is 859064212 a multiple of 7? False Does 263 divide 166310154? True Does 15 divide 2191545? True Is 122875744 a multiple of 170? False Is 18194008 a multiple of 4? True Does 13 divide 2895956765? True Does 901 divide 78815236? False Is 2463 a factor of 346879178? False Is 3 a factor of 98220964? False Is 29582380 a multiple of 167? True Does 41 divide 181900190? True Is 1267 a factor of 547986369? True Is 429346648 a multiple of 1652? False Does 21 divide 62438754? True Is 89 a factor of 14145482? True Is 38662754 a multiple of 1343? False Is 186 a factor of 104506871? False Is 19 a factor of 33552220? False Is 1343301700 a multiple of 14? False Does 2013 divide 124622850? False Is 45553386 a multiple of 4? False Is 5 a factor of 69386770? True Is 3173494270 a multiple of 4705? True Is 349108448 a multiple of 2157? False Is 736 a factor of 30813376? True Does 32 divide 21941088? True Is 157343321 a multiple of 31? True Is 5285 a factor of 1662152721? False Is 23 a factor of 3785156? True Is 228804840 a multiple of 66? True Is 134 a factor of 610431956? False Is 56 a factor of 1387946? False Does 75 divide 233507182? False Is 204 a factor of 67666227? False Does 205 divide 198486000? False Is 6952 a factor of 1606600248? True Is 439 a factor of 40086407? True Is 424 a factor of 57621188? False Is 940828906 a multiple of 28? False Is 50309987 a multiple of 119? True Is 1262 a factor of 29605836? False Is 14147343 a multiple of 151? False Does 1345 divide 247
{ "pile_set_name": "DM Mathematics" }
What is the remainder when 316006 is divided by 43? 42 Calculate the remainder when 2425 is divided by 1172. 81 Calculate the remainder when 657718 is divided by 1912. 1902 Calculate the remainder when 39442 is divided by 274. 260 Calculate the remainder when 1116 is divided by 341. 93 What is the remainder when 55002 is divided by 285? 282 Calculate the remainder when 56468 is divided by 149. 146 What is the remainder when 528752 is divided by 981? 974 Calculate the remainder when 9021 is divided by 37. 30 What is the remainder when 700047 is divided by 175011? 3 Calculate the remainder when 10866 is divided by 2181. 2142 What is the remainder when 34559 is divided by 4935? 14 What is the remainder when 3141 is divided by 37? 33 Calculate the remainder when 95410 is divided by 186. 178 What is the remainder when 14655 is divided by 174? 39 What is the remainder when 5255 is divided by 5153? 102 Calculate the remainder when 354537 is divided by 5. 2 Calculate the remainder when 1458 is divided by 281. 53 Calculate the remainder when 33685 is divided by 15. 10 Calculate the remainder when 43675 is divided by 10918. 3 Calculate the remainder when 8726 is divided by 17. 5 What is the remainder when 8658 is divided by 321? 312 What is the remainder when 15377 is divided by 436? 117 What is the remainder when 9643 is divided by 646? 599 Calculate the remainder when 5016 is divided by 6. 0 What is the remainder when 769632 is divided by 4871? 14 Calculate the remainder when 16997 is divided by 1319. 1169 Calculate the remainder when 181567 is divided by 144. 127 What is the remainder when 126446 is divided by 31? 28 What is the remainder when 15068 is divided by 7529? 10 Calculate the remainder when 1341848 is divided by 47. 45 Calculate the remainder when 24708 is divided by 4. 0 Calculate the remainder when 13998 is divided by 100. 98 What is the remainder when 2190 is divided by 2106? 84 What is the remainder when 6729 is divided by 119? 65 Calculate the remainder when 8683 is divided by 2892. 7 What is the remainder when 14065 is divided by 76? 5 Calculate the remainder when 7584 is divided by 109. 63 What is the remainder when 136 is divided by 7? 3 Calculate the remainder when 268852 is divided by 134418. 16 Calculate the remainder when 61199 is divided by 142. 139 What is the remainder when 2652 is divided by 2638? 14 Calculate the remainder when 141992 is divided by 89. 37 Calculate the remainder when 4033 is divided by 36. 1 Calculate the remainder when 65839 is divided by 3454. 213 What is the remainder when 549997 is divided by 500? 497 Calculate the remainder when 7587 is divided by 107. 97 Calculate the remainder when 1551 is divided by 575. 401 What is the remainder when 34768 is divided by 61? 59 What is the remainder when 26230 is divided by 149? 6 What is the remainder when 65940 is divided by 9411? 63 What is the remainder when 2678 is divided by 169? 143 Calculate the remainder when 34957 is divided by 376. 365 Calculate the remainder when 1116948 is divided by 50. 48 Calculate the remainder when 4936 is divided by 24. 16 Calculate the remainder when 931 is divided by 315. 301 What is the remainder when 56831 is divided by 1386? 5 What is the remainder when 5383 is divided by 1329? 67 Calculate the remainder when 2133 is divided by 2119. 14 What is the remainder when 49524 is divided by 1415? 1414 What is the remainder when 33600 is divided by 11189? 33 Calculate the remainder when 84140 is divided by 3005. 0 What is the remainder when 4943 is divided by 3466? 1477 Calculate the remainder when 1136351 is divided by 16. 15 What is the remainder when 236946 is divided by 78953? 87 What is the remainder when 25285 is divided by 95? 15 What is the remainder when 44291 is divided by 71? 58 Calculate the remainder when 117447 is divided by 58711. 25 What is the remainder when 1334100 is divided by 21? 12 Calculate the remainder when 3701758 is divided by 640. 638 What is the remainder when 575951 is divided by 9? 5 Calculate the remainder when 36455 is divided by 7265. 130 Calculate the remainder when 1229 is divided by 572. 85 What is the remainder when 1493 is divided by 369? 17 Calculate the remainder when 2955 is divided by 587. 20 What is the remainder when 21798 is divided by 75? 48 Calculate the remainder when 233403 is divided by 14. 9 What is the remainder when 7703 is divided by 1280? 23 Calculate the remainder when 1814 is divided by 489. 347 What is the remainder when 6479 is divided by 3218? 43 Calculate the remainder when 7857 is divided by 140. 17 What is the remainder when 13429 is divided by 103? 39 What is the remainder when 226568 is divided by 17426? 30 What is the remainder when 126 is divided by 117? 9 What is the remainder when 30964 is divided by 87? 79 Calculate the remainder when 122365 is divided by 13. 9 Calculate the remainder when 161797 is divided by 875. 797 What is the remainder when 31747 is divided by 189? 184 What is the remainder when 202534 is divided by 18? 16 What is the remainder when 281526 is divided by 6547? 5 Calculate the remainder when 32519 is divided by 293. 289 What is the remainder when 17219 is divided by 210? 209 Calculate the remainder when 20937 is divided by 1231. 10 Calculate the remainder when 109591 is divided by 9. 7 What is the remainder when 33839 is divided by 48? 47 Calculate the remainder when 1366 is divided by 269. 21 Calculate the remainder when 110001 is divided by 36653. 42 What is the remainder when 2097 is divided by 1957? 140 Calculate the remainder when 3371 is divided by 202. 139 What is the remainder when 1335 is divided by 553? 229 What is the remainder when 4533479 is divided by 72? 71 Calculate the remainder when 1395 is divided by 279. 0 Calculate the remainder when 285956 is divided by 142977. 2 What is the remainder when 2901 is divided by 127? 107 What is the remainder when 388594 is divided by 15543? 19 Calculate the remainder when 1312 is divided by 13. 12 Calculate the remainder when 10160 is divided by 233. 141 Calculate the remainder when 520028 is divided by 173341. 5 What is the remainder when 9326 is divided by 48? 14 Calculate the remainder when 2049 is divided by 636. 141 Calculate the remainder when 40060 is divided by 20013. 34 What is the remainder when 12233 is divided by 830? 613 Calculate the remainder when 1505 is divided by 65. 10 What is the remainder when 1210 is divided by 330? 220 What is the remainder when 286 is divided by 34? 14 Calculate the remainder when 650265 is divided by 162563. 13 What is the remainder when 2686444 is divided by 207? 205 What is the remainder when 421647 is divided by 22? 17 Calculate the remainder when 712 is divided by 58. 16 What is the remainder when 94556 is divided by 13505? 21 What is the remainder when 3447 is divided by 565? 57 Calculate the remainder when 1220 is divided by 202. 8 Calculate the remainder when 906013 is divided by 627. 625 Calculate the remainder when 27882 is divided by 27878. 4 Calculate the remainder when 10743 is divided by 70. 33 Calculate the remainder when 3983 is divided by 368. 303 What is the remainder when 2436 is divided by 212? 104 Calculate the remainder when 990 is divided by 984. 6 Calculate the remainder when 13644 is divided by 292. 212 What is the remainder when 22774 is divided by 44? 26 Calculate the remainder when 4416 is divided by 1243. 687 What is the remainder when 2124 is divided by 812? 500 Calculate the remainder when 507729 is divided by 42310. 9 Calculate the remainder when 40478 is divided by 460. 458 What is the remainder when 1926 is divided by 13? 2 What is the remainder when 16943 is divided by 239? 213 Calculate the remainder when 111656 is divided by 3. 2 What is the remainder when 240197 is divided by 39? 35 What is the remainder when 36099 is divided by 100? 99 Calculate the remainder when 309 is divided by 273. 36 Calculate the remainder when 629711 is divided by 23. 17 What is the remainder when 2427 is divided by 474? 57 Calculate the remainder when 9013 is divided by 23. 20 Calculate the remainder when 55510 is divided by 721. 714 Calculate the remainder when 40142 is divided by 6689. 8 Calculate the remainder when 533497 is divided
{ "pile_set_name": "DM Mathematics" }
9, a: 1}? 63/323 Two letters picked without replacement from {v: 1, t: 1, r: 9}. Give prob of picking 1 v and 1 r. 9/55 Three letters picked without replacement from {m: 1, u: 1, w: 1, h: 2, t: 1, b: 1}. Give prob of picking 1 w, 1 b, and 1 m. 1/35 Calculate prob of picking 1 x and 1 o when two letters picked without replacement from llllxoxlmmlxoll. 2/35 Two letters picked without replacement from lddllshdadlaas. Give prob of picking 1 a and 1 h. 3/91 What is prob of picking 1 l, 1 k, and 1 o when three letters picked without replacement from {o: 1, s: 1, p: 1, l: 1, k: 3}? 3/35 What is prob of picking 1 j, 1 b, and 2 h when four letters picked without replacement from {h: 2, b: 5, j: 8, r: 2}? 2/119 What is prob of picking 4 f when four letters picked without replacement from {f: 7}? 1 Four letters picked without replacement from {h: 5, b: 2}. What is prob of picking 3 h and 1 b? 4/7 Calculate prob of picking 1 k, 1 f, and 1 r when three letters picked without replacement from rqrqkqhqkrfb. 3/110 Two letters picked without replacement from ifqdn. Give prob of picking 1 i and 1 d. 1/10 Two letters picked without replacement from {p: 1, f: 2, w: 1, y: 1, u: 2}. What is prob of picking 1 w and 1 y? 1/21 Calculate prob of picking 4 q when four letters picked without replacement from qqqqqqqqq. 1 Three letters picked without replacement from {c: 6, x: 4}. What is prob of picking 3 x? 1/30 What is prob of picking 3 d when three letters picked without replacement from {l: 3, d: 5}? 5/28 Three letters picked without replacement from {u: 2, p: 7, v: 3}. What is prob of picking 2 p and 1 u? 21/110 Two letters picked without replacement from {a: 3, k: 3}. What is prob of picking 2 a? 1/5 What is prob of picking 1 q, 1 k, and 2 a when four letters picked without replacement from {a: 3, f: 3, i: 8, k: 1, j: 2, q: 1}? 1/1020 Three letters picked without replacement from {x: 2, s: 2, q: 12, p: 1, w: 3}. What is prob of picking 2 w and 1 x? 1/190 What is prob of picking 1 x, 1 m, and 1 j when three letters picked without replacement from {x: 2, o: 1, c: 1, j: 7, m: 3}? 3/26 Calculate prob of picking 3 d when three letters picked without replacement from ohodoododdqeo. 2/143 Three letters picked without replacement from xzzzzx. What is prob of picking 3 z? 1/5 Two letters picked without replacement from {y: 2, g: 9, m: 2, o: 1}. Give prob of picking 1 m and 1 g. 18/91 Three letters picked without replacement from {m: 2, d: 2, f: 4, i: 1, t: 3, e: 8}. Give prob of picking 1 f and 2 t. 1/95 Four letters picked without replacement from vvvvvlllyp. What is prob of picking 2 v and 2 l? 1/7 Calculate prob of picking 1 i and 2 b when three letters picked without replacement from bbbdidyybddybydy. 1/56 Two letters picked without replacement from fbdhhddhbfdfffdbd. Give prob of picking 1 h and 1 f. 15/136 Three letters picked without replacement from {o: 4, y: 14}. Give prob of picking 3 y. 91/204 Calculate prob of picking 2 x when two letters picked without replacement from {x: 9, h: 11}. 18/95 Three letters picked without replacement from {k: 1, a: 5, i: 4, p: 1, j: 3, x: 1}. Give prob of picking 2 j and 1 k. 3/455 What is prob of picking 3 o when three letters picked without replacement from {o: 10}? 1 What is prob of picking 1 k and 1 j when two letters picked without replacement from {g: 1, k: 5, j: 1, q: 2, w: 3, r: 3}? 1/21 Four letters picked without replacement from {n: 5, r: 1, g: 7, f: 3}. Give prob of picking 4 g. 1/52 Four letters picked without replacement from vkwsvot. Give prob of picking 1 s, 2 v, and 1 w. 1/35 Three letters picked without replacement from utyjtjyyyyysyy. Give prob of picking 2 y and 1 t. 2/13 Four letters picked without replacement from {m: 1, q: 11}. What is prob of picking 1 m and 3 q? 1/3 Three letters picked without replacement from cxcoccccccccoc. What is prob of picking 1 c and 2 o? 11/364 Four letters picked without replacement from {e: 15, x: 5}. What is prob of picking 4 e? 91/323 What is prob of picking 3 f and 1 o when four letters picked without replacement from {f: 5, k: 8, o: 1, n: 2}? 1/182 Two letters picked without replacement from {r: 3, q: 1, t: 7, b: 3}. Give prob of picking 2 r. 3/91 Three letters picked without replacement from {l: 19, y: 1}. Give prob of picking 1 y and 2 l. 3/20 Three letters picked without replacement from hppyp. What is prob of picking 3 h? 0 Four letters picked without replacement from fcccccfcpcffcpfc. Give prob of picking 2 f and 2 c. 18/91 Calculate prob of picking 2 c when two letters picked without replacement from ggwwggccg. 1/36 Three letters picked without replacement from pupppppppupnnpuu. What is prob of picking 1 n and 2 u? 3/140 Two letters picked without replacement from {r: 3, a: 5, b: 1, j: 1, x: 2, g: 1}. Give prob of picking 1 b and 1 g. 1/78 Four letters picked without replacement from {o: 12, z: 7}. Give prob of picking 4 z. 35/3876 Three letters picked without replacement from {s: 1, u: 6, m: 11}. What is prob of picking 3 u? 5/204 Two letters picked without replacement from {g: 1, u: 1, y: 1, a: 2}. Give prob of picking 1 g and 1 u. 1/10 What is prob of picking 1 y and 2 v when three letters picked without replacement from {v: 9, y: 1, t: 1, h: 2, m: 4}? 9/170 Two letters picked without replacement from tttttttttyttet. Give prob of picking 2 t. 66/91 Two letters picked without replacement from sssssslsssss. What is prob of picking 1 l and 1 s? 1/6 Two letters picked without replacement from {n: 6, r: 3, z: 3, j: 1}. Give prob of picking 1 j and 1 n. 1/13 Calculate prob of picking 1 u and 1 y when two letters picked without replacement from {y: 1, o: 1, u: 1, b: 1, s: 1}. 1/10 Calculate prob of picking 1 y, 1 r, and 1 k when three letters picked without replacement from rttky. 1/10 Calculate prob of picking 2 p when two letters picked without replacement from {w: 1, z: 12, p: 7}. 21/190 What is prob of picking 1 r and 3 g when four letters picked without replacement from rrrrrgrrgrnrggrrrrrg? 28/969 Calculate prob of picking 1 z and 1 b when two letters picked without replacement from {z: 4, r: 1, q: 3, l: 4, b: 4}. 2/15 Two letters picked without replacement from fnvfnffnnnnvn. What is prob of picking 2 f? 1/13 Calculate prob of picking 3 s when three letters picked without replacement from sssssscssusxssxss. 143/340 What is prob of picking 1 w and 1 g when two letters picked without replacement from giwiliwgigigglwil? 15/136 What is prob of picking 1 a and 1 u when two letters picked without replacement from {u: 6, a: 13}? 26/57 Three letters picked without replacement from {v: 2, u: 2, x: 1, r: 2, q: 1}. Give prob of picking 1 q and 2 v. 1/56 Three letters picked without replacement from {z: 5, k: 10, l: 1, a: 1}. Give prob of picking 1 l, 1 k, and 1 z. 5/68 What is prob of picking 1 j and 1 y when two letters picked without replacement from krjrykkkjj? 1/15 Two letters picked without replacement from roogooorooyoryyooy. Give prob of picking 2 r. 1/51 What is prob of picking 1 l and 2 r when three letters picked without replacement from {l: 7, r: 1}? 0 Calculate prob of picking 2 a and 2 w when four letters picked without replacement from {a: 9, w: 2, f: 5}. 9/455 What is prob of picking 2 q and 1 h when three letters picked without replacement from {r: 4, o: 2, i: 2, c: 3, q: 4, h: 3}? 3/136 Calculate prob of picking 1 y, 1 s, and 1 j when three letters picked without replacement from itjjsttstttyjjt. 8/455 What is prob of picking 1 q and 1 r when two letters picked without replacement from lceezrcqq? 1/18 What is prob of picking 1 j, 1 c, and 1 f when three letters picked without replacement from {c: 1, j: 2, x: 4, f: 2}? 1/21 Two letters picked without replacement from jsjmszsjmsjjjjpj. What is prob of picking 2 j? 7/30 Three letters picked without replacement from qqpiwipiqiqwi. What is prob of picking 2 q and 1 p? 6/143 Two letters picked without replacement from wuuuwawwuwauww. What is prob of picking 1 u and 1 a? 10/91 Two letters picked without replacement from {u: 2, b: 1, k: 1}. Give prob of picking 2 u. 1/6 Two letters picked without replacement from tddwdtwddddww. Give prob of picking 2 w. 1/13 Calculate prob of picking 1 q and 1 f when two letters
{ "pile_set_name": "DM Mathematics" }
-33 + 14 + 62 + (-10 - 3 - 0) + 7 37 Evaluate 13 + (12 + 96 - -8) + -4 - (3 + 3). 119 Evaluate (12 - -4) + (7 + -14 - -15 - 99). -75 What is the value of 26 + (8 + 1 - (-87 - -113)) - 0? 9 Calculate 161 + -137 + (3 - (-3 - -19)). 11 What is the value of 1 + 4 + -78 + (93 + -74 - 9)? -63 90 + -70 - (-14 + 8 - -32) -6 What is (-15 - -10) + 48 + -66 + (39 - 4)? 12 Evaluate (-2 - (1 - -6)) + (-69 - (79 - 155)). -2 (2 - -10) + (-4 - 4) - (-5 - 32) 41 What is (21 + -4 - (4 + -2)) + 885 + -846? 54 Calculate -220 + 233 + (-91 - -1 - (-1 - (12 + -17))). -81 What is -863 + 868 - (-8 + 1)? 12 Evaluate -25 + (112 - (-33 - -42 - -1)). 77 Evaluate -19 - ((-122 - -49) + -10). 64 Calculate -2 - -4 - (13 + -75) - (-38 - -34). 68 Calculate (-7 - (5 + -7)) + -39 + -124 + 112. -56 What is 35 + 107 + -60 - 9? 73 What is -3 + 0 + (3907 - 3911)? -7 What is the value of -4 + 27 - (8 - (-12 - 39))? -36 What is the value of (57 - (173 - 27)) + 14? -75 What is the value of 14 + (-7 - ((17 - 27) + 15))? 2 (291 - 328) + -2 + 18 -21 Evaluate (13 - 14) + -6 - (-84 + (19 - 16)). 74 Evaluate 26 - (105 + -105 + 8). 18 What is 213 + -295 + (-13 - (3 + -5)) + -10? -103 Calculate 23 + (4 - (6 + -1)) + -9 - 35. -22 (-11 + -15 - -48) + 7 + -50 -21 -20 - -65 - 69 - -84 60 What is the value of (-9 + 10 - 0) + (-3 + (-4 - -11) - 7)? -2 What is the value of 10 + 0 + (-5 + 8 - -10)? 23 Calculate -110 - -113 - (-2 + 15) - 21 - 2. -33 Calculate 19 + (9 - 30 - -26) - -2. 26 Evaluate 57 + 8 + (12 - 31) - (-5 - (-6 + -10)). 35 (9 - 19 - -22 - 24) + 9 - 88 -91 What is (131 - 161) + -12 + 66? 24 What is the value of (25 - 9) + 5 + -9 + -2 + (29 - -1)? 40 Calculate 0 + (0 - 17) + (-110 - -118) + (-43 - -51). -1 What is -2 + -54 - (-2315 + 2192)? 67 What is the value of 7 + (185 - 185 - (5 - 3 - -26))? -21 What is 2 + -6 + (-14 - -7) - ((34 - 10) + 12)? -47 Calculate (-77 + 66 - 37) + 130. 82 What is the value of 52 + -34 - ((9 - 0) + -4) - -44? 57 Evaluate -4 - (-5 - 5) - (30 - 27 - 56). 59 What is the value of -9 - (-11 + 9 + -14) - (84 + 27 + 9)? -113 What is the value of (48 - (-55 - -46)) + -12? 45 (1 - 0 - (11 - 8) - (-10 - -13)) + -6 -11 Calculate 26 - (-73 + (6 - -30) + 109). -46 What is the value of (-3 - (-8 - -18)) + (-10 - -3)? -20 Calculate (5 - 49) + (3 - -25). -16 Calculate (-2 - (4 + 0) - -5 - -2) + -95 + 49. -45 Calculate -4460 + 4480 + (-1 - -14). 33 Evaluate 11 - (24 - (9 - -40) - 26). 62 Evaluate -52 + (2 + -2 - -64). 12 Evaluate 28 + (59 + -50 - -30). 67 ((14 - 4) + -9 - 14 - -1) + 122 + 11 121 Evaluate -52 - (-19 + -26) - (-32 - -1 - 0). 24 Calculate 13 - 4 - (-843 + 816). 36 What is the value of (0 - -7) + -893 + 871 - -27? 12 What is 16 + (12 - (22 - 15)) + -65? -44 Evaluate 54 - (-94 - (-172 + 60)). 36 What is (100 - 38) + -77 - -131? 116 Evaluate 2 - ((0 - 1) + 2 + -46 + 28). 19 (-49 - (-16 + 16)) + 113 64 What is -105 + 70 - -86 - -49? 100 What is the value of 16 + -10 - (-20 + 23 + -1)? 4 What is -176 + 186 - (-15 - (3 - -2 - 8))? 22 What is 32 - 67 - (-9 - (7 + -8) - 1)? -26 Calculate (-2 - -42 - 19) + 4. 25 (121 - 73) + -22 + 3 29 What is the value of (-104 - -47 - -55) + (2 - -6) - 14? -8 -4 + 36 + 11 + -1 + (-28 - (-23 - -12)) 25 What is the value of (-9 - 0) + (-42 - (-24 + -28)) - (-3 - 2)? 6 Evaluate -11 - 5 - ((-17 - 9) + 29) - 45. -64 What is the value of (-166 - -136 - -17) + -1 + 144? 130 Evaluate (0 - (-3 + 6)) + 96 + -32 + 9 - 3. 67 Evaluate (3 - (14 + -2 + (-8 - -5) + -8)) + 56. 58 What is 30 + (3 + -66 - (114 - 117))? -30 What is (2 - 23) + 37 + (-53 - -3)? -34 What is 91 + -2 + 219 + -242 - -21? 87 18 - (38 - 72) - -14 66 Evaluate (-8 + -3 + 7 - 9 - -8) + 14. 9 (-110 - -113) + (-2 - (0 - 4) - 21) -16 What is -125 + -43 + 129 - (-23 + -2)? -14 Evaluate 9 + (3 - -6 - ((-9 - 6) + 19)). 14 What is the value of -8 + 1 + 29 + -11 + (-7 - (13 - 18))? 9 What is the value of (-14 - 32) + 102 + -107? -51 Evaluate (-3 - (6 + -9 + 26)) + 11. -15 127 - (106 + -109 + 106) 24 Calculate 4 - (49 + -50) - 1. 4 What is (-22 - ((-43 - -36) + -3 + 69)) + -17? -98 What is the value of -4 + 26 + -25 + 41 + 5 + (1 - -2)? 46 Evaluate -30 + 83 + -42 + 129 + (4 + -5 - 4). 135 Calculate 10 + -23 + (-8 - -6) + (28 - 115). -102 What is 960 + -939 - (-2 + 57)? -34 -11 + (36 + 32 + -75 - (-29 - 0)) 11 36 - (-49 + 84) - (-2 - -6) -3 Evaluate (-92 - -64) + -5 + 27 - -17. 11 Evaluate 3 + (69 - -36 - 67). 41 Calculate -90 + 58 + -15 + -30. -77 What is -411 + 396 + (53 - -1)? 39 Evaluate -3 - (-21 + -32 + 15 + 8). 27 Calculate 9 + -11 + 12 - (32 + 1 + -7 + 5). -21 Evaluate -3 + 5 + 8 + (64 - 4 - -33 - -15). 118 -6 + 3 + -72 + 86 + (8 - 1 - -29) 47 Calculate 35 + (21 - (14 - -14)) + (-3 - 0). 25 Evaluate 26 - (8 + 68 + -2 - -26). -74 What is (4 - 0) + (18 - (18 + -6)) - 47? -37 Evaluate -2 - 10 - 0 - ((-38 - -79) + 2 + -69). 14 -46 + 23 + -1 - 51 - -18 -57 Evaluate (4251 - 4213) + -1 + -59. -22 What is the value of (9 - 130) + -95 + 101 + 8? -107 What is the value of 94 + 0 + 188 + -67 + -155? 60 Evaluate -11 + -1 - (-10 + (-19 - ((12 - 9) + 5))). 25 Calculate -39 + (0 - 80) + 37 + -34. -116 -89 - (-1 + (9 - 37) - -11) -71 Evaluate 13 - (-1 + 55 + -18 + -2). -21 Evaluate 420 + -421 - ((0 - 2) + (6 + -2 - 82)). 79 -5 + 0 - (-190 + (323 - 133) + (15 - -1)) -21 Calculate -16 + 0 + 0 + 27 + -3. 8 Evaluate (-6 + (12 - 10) - (-1 + -14)) + (6 - -48). 65 -15 - (-55 + -14 + 34) 20 Evaluate (3 - (-37 - 0) - -3) + (-21 - -32) - 6. 48 What is the value of 41 - (-26 + (-22 - -47)) - -20? 62 What is the value of (8 - (9 + -9 - -8)) + 17 + 19? 36 Calculate -10 - ((-8 - -4) + (-6 - -42) + -18). -24 What is 1 - 31 - (-6 + 12 + -21 - -35 - 13)? -37 10 - (19 + -1) - (1 - -2 - 10) -1 Calculate 17 + -1421 + 1406 + 13 + -2. 13 Calculate -13 - ((3 + -5 + -4 - (11 + -24)) + -12). -8 What is the value of (8 - -23) + -12 + 114? 133 What is -13 + -1 + 13 + -8 + 16 + -27? -20 What is the value of -54 + (-1 - 0) - (60 + -87 - -40)? -68 Evaluate -954 - -985 - ((112 - 2) + 1). -80 What is the value of 6 + ((-6 - -4) + -44 - -15)? -25 0 + 50 + (-5 - -6 - 26) 25 What is the value of (3 + 15 - (-17 + 28)) + (-28 - -3)? -18 Evaluate (-25 - (11 + -42)) + 42 - 16. 32 1188 + -1232 - (0 - 47) 3 What is the value of (2 - (-2 + (2 - 12))) + (707 - 760)? -39 What is -34 + -3 + -15 + -14 - -25? -41 Calculate (-6 - 2) + (-48 + 32 + 61 - -25). 62 Evaluate 55 - (66 - 12 - -65). -64 What is (-2 - 3) + -68 + (-42 + 25 - 0)? -90 What is the value of -11 + (6 - 18) + 19 + (19 - -12)? 27 What is the value of 16 + (-8 - (-16 - (-10 + 10)))? 24 What is the value of (10 + -2 - -1 - (15 + 45 - 31)) + 8? -12 What is 21 + -5 + 1 + (14 - 33) + 17? 15 Evaluate 99 + -51 + (2 + -14 - -3). 39 What is 2 + (3 - 10) - (-8 + -57 + 52) - -54? 62 Calculate (9 - 0 - -1) + (646 - 593) + (-90 - 0). -27 Calculate (-1 - 27) + -78 + -55 + 83. -78 What is the value of (1915 - 1890) + 4 + (4 - 2 - 0)? 31 -8 - (22 + -34 + (-34 + -22 - (6 + -2))) 64 30 + -54 + (-58 - -89) + (7 - -1) 15 What is -9 - ((-1 - -20) + (-10 - (18 + -21)))? -21 Calculate 23 - (-2 + -16 + 6) - (14 - 10). 31 Evaluate 11 + 9 + 75 + -107 - (-14 - 2). 4 Evaluate 143 - 32 - 156 - 47. -92 What is the value of 50 + 19 + -172 - -17? -86 What is the value of (118 - (-40 + 101)) + (-15 - 1)? 41 1 + 2 + -18 - (12 - (20 - 31) - 14) -24 What is -7 - (104 - 153 - (23 + -17 - (0 + -1)))? 49 Calculate 43 - (102 + -13 - 38). -8 What is the value of -3 + 190 + (-95 - 5)? 87 9 - (-1 + 3 + (18 + -11 - -26)) -26 Evaluate -85 - (-84 + -5 + 2). 2 Evaluate 129 - -11 - (84 + -120 + 31). 145 What is the value of -3 - (-5 + -2 + 1 + -6) - (-59 - -58)? 10 What is the value of 8 + (6 - 43) + -23 + 45? -7 Evaluate 35 + (-48 - 4) + -1 + (0 - 5). -23 Evaluate (12 - (0 - -10)) + -4 + -2 + -32 + 7. -29 Evaluate (3 - -15) + -49 + 46 + 2 + 0. 17 Evaluate -9 + -1 + 6 + -2 + (-19 - -5). -20 Calculate 63 - (380 + -351 + 0 + -38). 72 Calculate 35 - ((10 - 11) + (-9 - -23) + -8). 30 Calculate 87 - (15 + 0 + (3 - 26) + 6). 89 Calculate 0 + 20 + (-25 + 11 - 64). -58 What is (-4 + 5 + -1 + -6 - -43) + 2 + 5? 44 What is -14 - (-4 - (12 + (-37 - (-6 - -2 - 9))))? -22 What is 34 + (-20 + 10 + 18 - 16)? 26 What is the value of (15 + 0 - (-72 - -68) - 26) + -83? -90 Calculate 1 - (3 - -5 - 12 - (12 + -2 + -8)). 7 What is the value of
{ "pile_set_name": "DM Mathematics" }
87, -464, 2 Let -8*z**4 + 17460*z**3 - 1876928*z**2 - 35909388*z + 18421744 = 0. Calculate z. -17, 1/2, 131, 2068 Let 2*y**5/11 + 134*y**4/11 + 542*y**3/11 - 11134*y**2/11 + 27536*y/11 - 17080/11 = 0. What is y? -61, -14, 1, 2, 5 Solve 2*r**3 + 83162*r**2 + 864365024*r - 2593843584 = 0 for r. -20792, 3 Determine g so that 2*g**2/9 - 69800*g + 628198/9 = 0. 1, 314099 Factor 5*u**4 + 77340*u**3 + 307385030*u**2 + 64279207500*u + 3453843828125. 5*(u + 109)**2*(u + 7625)**2 What is k in -5*k**2/3 + 93065*k/3 - 49498100/3 = 0? 548, 18065 Let -2*v**2 + 10530*v + 37701900 = 0. What is v? -2445, 7710 Let -136590875*v**5/2 + 5880568700*v**4 - 35243333355*v**3/2 + 1804635531*v**2 - 62572986*v + 726084 = 0. Calculate v. 18/515, 3, 83 Solve -z**2/5 + 5753*z/5 - 2101512/5 = 0 for z. 392, 5361 Suppose -3*o**5 + 2091*o**4 - 21063*o**3 - 1093731*o**2 + 8959146*o + 104011320 = 0. What is o? -20, -7, 19, 686 Suppose -z**5 - 10122*z**4 - 313045*z**3 - 2260128*z**2 + 2583296*z = 0. Calculate z. -10091, -16, 0, 1 Factor -k**3/8 - 461*k**2/4 - 8237*k/8 - 4565/2. -(k + 4)*(k + 5)*(k + 913)/8 Suppose 4*z**4/13 + 8292718*z**3/13 - 4146364*z**2/13 - 8292718*z/13 + 4146360/13 = 0. What is z? -2073180, -1, 1/2, 1 Factor -5*r**2 + 3478395*r + 6956810. -5*(r - 695681)*(r + 2) Factor -k**2/2 + 14893*k/2 + 583869. -(k - 14971)*(k + 78)/2 Suppose -7*y**5 + 5651*y**4 - 768296*y**3 + 14170108*y**2 + 27028128*y - 8861184 = 0. What is y? -2, 2/7, 24, 144, 641 Suppose -33*w**4 - 6012*w**3 - 140055*w**2 - 158256*w - 24180 = 0. Calculate w. -155, -26, -1, -2/11 Determine n so that -4*n**5 - 14964*n**4 - 458844*n**3 + 4435156*n**2 - 7433904*n + 3472560 = 0. -3710, -39, 1, 6 Find a, given that 3*a**2/2 - 136320*a + 272634 = 0. 2, 90878 Factor 6*u**2/7 + 88155498*u/7 + 88155492/7. 6*(u + 1)*(u + 14692582)/7 Suppose 3*d**5 + 753*d**4 - 103698*d**3 + 1508448*d**2 - 5828736*d = 0. What is d? -353, 0, 8, 86 Factor -3*n**2 - 1023*n + 12135816. -3*(n - 1848)*(n + 2189) Factor -2*x**3 + 3317872*x**2 - 1376117269098*x + 68797569024900. -2*(x - 829443)**2*(x - 50) Determine k, given that 4*k**3 + 3992*k**2 + 832244*k + 33490912 = 0. -728, -217, -53 Determine y, given that 1329*y**4 + 126246*y**3 + 2933577*y**2 - 3081888*y + 20736 = 0. -48, 3/443, 1 What is k in -35*k**5 - 10845*k**4 - 281530*k**3 + 639290*k**2 - 390435*k + 43555 = 0? -281, -31, 1/7, 1 Factor -7*f**2/2 + 268967*f/2 + 1210635. -(f + 9)*(7*f - 269030)/2 Determine t so that -4*t**3 - 29360336*t**2 - 53876833127056*t = 0. -3670042, 0 Suppose -2*x**3 - 51146*x**2 - 4992494*x + 15437850 = 0. Calculate x. -25475, -101, 3 Factor 4356*o**3 + 255426600*o**2 - 30960848*o + 938208. 4*(o + 58638)*(33*o - 2)**2 Determine f, given that -1965639*f**2 + 13759470*f + 21 = 0. -1/655213, 7 What is l in 3*l**4 - 5295*l**3 + 2201433*l**2 + 120668187*l + 118461456 = 0? -48, -1, 907 Let -p**3/2 + 413*p**2/2 + 688685*p/2 - 4840689/2 = 0. What is p? -653, 7, 1059 Factor -5*h**2 - 169225*h - 28288680. -5*(h + 168)*(h + 33677) Let 14*b**4/5 + 245386*b**3/5 + 215138648*b**2 + 3839052776*b/5 + 1842543456/5 = 0. What is b? -8762, -3, -4/7 Suppose -2*o**4/7 + 778694*o**3 + 81763170*o**2/7 + 408816350*o/7 + 681361000/7 = 0. What is o? -5, 2725444 Let -b**3 + 4894888*b**2 = 0. Calculate b. 0, 4894888 Factor 4*v**2 + 1140387640*v + 81280248091548100. 4*(v + 142548455)**2 What is i in 4*i**5 - 2884*i**4 - 310464*i**3 + 313344*i**2 = 0? -96, 0, 1, 816 Factor 5*l**3 - 91107580*l**2 + 415029465565225*l + 830059295560810. 5*(l - 9110759)**2*(l + 2) Solve 4*j**4 - 220552*j**3 - 2426860*j**2 + 16765552*j - 14118144 = 0 for j. -16, 1, 4, 55149 Determine p so that -5*p**2 + 61898470*p - 191571029417045 = 0. 6189847 Factor -r**3/7 + 9239*r**2/7 - 21798699*r/7 + 2108451861/7. -(r - 4569)**2*(r - 101)/7 Solve -4*n**2 - 38803*n - 222985 = 0. -9695, -23/4 Factor g**3/9 - 27161*g**2/3 - 9056*g + 1629680/9. (g - 81484)*(g - 4)*(g + 5)/9 Let -86076*n**5 - 1673772*n**4/5 - 487820*n**3 - 1578468*n**2/5 - 382824*n/5 - 64/5 = 0. Calculate n. -1, -8/9, -2/11955 Find j, given that 3*j**3/8 - 2490375*j**2/8 + 516839352921*j/8 - 3617753443101/8 = 0. 7, 415059 Solve -140*u**3 + 241456*u**2 - 165504*u = 0 for u. 0, 24/35, 1724 Suppose -z**3/5 - 207177*z**2/5 + 828729*z/5 + 207181 = 0. Calculate z. -207181, -1, 5 Suppose m**5/3 - 48*m**4 + 2096*m**3 - 82816*m**2/3 + 79872*m = 0. What is m? 0, 4, 16, 52, 72 What is c in 4*c**3 + 24529696*c**2 + 49059376*c = 0? -6132422, -2, 0 Find i, given that -4*i**5 - 1422092*i**4 - 18486612*i**3 - 32706964*i**2 - 15642440*i = 0. -355510, -11, -1, 0 Determine o so that -2*o**3/3 - 45270*o**2 - 1538386*o + 4750970/3 = 0. -67871, -35, 1 Factor a**3/4 - 607463*a**2/2 - 15794207*a/4. a*(a - 1214939)*(a + 13)/4 Factor o**3 + 1205*o**2 + 361304*o + 360100. (o + 1)*(o + 554)*(o + 650) Find t such that -4*t**3/3 - 31516*t**2/3 - 22753440*t - 7904097936 = 0. -3726, -427 What is r in -3*r**4 + 4650*r**3 - 888687*r**2 + 45951636*r - 45067596 = 0? 1, 106, 1337 Factor -4*t**2 + 59308*t - 3720528. -4*(t - 14764)*(t - 63) Solve -9*i**5 + 162537*i**4 + 2494329*i**3 + 379923*i**2 - 6290280*i + 3253500 = 0. -15, -2, 2/3, 1, 18075 Determine b so that -2*b**4/5 + 21452*b**3/5 + 4592286*b**2/5 + 9120208*b/5 + 4549376/5 = 0. -208, -1, 10936 Determine n, given that 2*n**5 + 3446*n**4 + 323586*n**3 + 8278666*n**2 + 22622524*n + 14664000 = 0. -1625, -48, -47, -2, -1 Find w, given that w**5/2 - 111*w**4/2 - 3745*w**3 - 45105*w**2 + 7489*w/2 + 90321/2 = 0. -33, -17, -1, 1, 161 What is m in m**4/2 + 6*m**3 - 117*m**2 - 1834*m - 12495/2 = 0? -15, -7, 17 Factor -2*y**3/5 + 12092*y**2 - 180549824*y/5 + 142323358464/5. -2*(y - 26982)*(y - 1624)**2/5 Factor v**2/5 + 26224842*v/5 + 171935584481241/5. (v + 13112421)**2/5 Suppose -2*z**4/7 + 394640*z**3/7 - 9470106*z**2/7 - 20124140*z/7 - 10259392/7 = 0. Calculate z. -1, 26, 197296 Factor 3*i**2 + 1854*i + 138591. 3*(i + 87)*(i + 531) Factor -5*j**2 - 174290*j + 3313315. -5*(j - 19)*(j + 34877) Determine r so that -4*r**5 + 48*r**4 + 8392*r**3 + 16368*r**2 - 24804*r = 0. -39, -3, 0, 1, 53 Solve -2*q**3/3 - 20818*q**2/3 - 2044540*q/3 - 32579600/3 = 0. -10310, -79, -20 Determine i, given that -4*i**5 + 711340*i**4 - 7113032*i**3 + 5690360*i**2 + 7113036*i - 6401700 = 0. -1, 1, 9, 177825 Solve -88*x**5 + 612*x**4 + 359052*x**3 - 1079948*x**2 + 1080732*x - 360360 = 0 for x. -1365/22, 1, 66 Find j, given that j**3/6 - 211*j**2/6 + 7277*j/3 - 54824 = 0. 56, 66, 89 Find s such that -s**4/3 - 1272617*s**3/3 - 424205*s**2 + 1272617*s/3 + 1272616/3 = 0. -1272616, -1, 1 Factor 3*w**3 + 27462*w**2 - 550383*w + 522918. 3*(w - 19)*(w - 1)*(w + 9174) Factor v**2/7 + 43090*v/7 + 775296/7. (v + 18)*(v + 43072)/7 Factor -l**3/3 + 746836*l**2 + 2987348*l + 8962048/3. -(l - 2240512)*(l + 2)**2/3 Suppose 4*a**2/7 - 32624*a/7 + 15939792/7 = 0. Calculate a. 522, 7634 Determine h, given that h**5 - 44416*h**4 - 222102*h**3 - 133268*h**2 + 222101*h + 177684 = 0. -4, -1, 1, 44421 Find a such that 2*a**4/3 + 205706*a**3/3 + 5284120400*a**2/3 - 90008482336*a = 0. -51452, 0, 51 Let -3*t**2/2 - 905673*t/2 - 452835 = 0. Calculate t. -301890, -1 Determine n, given that 64*n**5 + 3182928*n**4 + 39579510425*n**3 + 128608990900*n**2 + 114382108125*n + 30913411250 = 0. -24865, -2, -5/8 Factor z**2 + 769772*z + 2309307. (z + 3)*(z + 769769) Factor 4*v**2 + 27448512*v + 47088800688384. 4*(v + 3431064)**2 Solve -z**4/7 + 2973*z**3 - 166443*z**2/7 + 56467*z - 249636/7 = 0. 1, 3, 4, 20803 Solve -5*p**4/3 + 112570*p**3/3 - 675265*p**2/3 + 562700*p/3 = 0 for p. 0, 1, 5, 22508 Factor 4*w**3 - 2910268*w**2 + 203704060*w - 3564735300. 4*(w - 727497)*(w - 35)**2 Find z, given that 5*z**3/6 + 1017721*z**2/12 + 262905*z + 712383/4 = 0. -101769, -21/10, -1 What is p in -2*p**4 - 540*p**3 + 17454*p**2 - 162448*p + 405600 = 0? -300, 4, 13 Factor 5*k**3 + 1585030*k**2 - 6340185*k + 4755150. 5*(k - 3)*(k - 1)*(k + 317010) Factor 4*h**3 - 2972*h**2 - 6056000*h + 5028000000. 4*(h - 1000)**2*(h + 1257) What is o in 36*o**3 + 973207504*o**2 + 6577311321323540*o - 1461624786131528 = 0? -13516771, 2/9 Solve 101*w**3/9 + 18383*w**2/9 - 319786*w/9 - 352 = 0 for w. -198, -1/101, 16 Determine d, given that 5*d**4/3 - 17415*d**3 - 941735*d**2/3 - 1029385*d + 1360710 = 0. -13, -6, 1, 10467 Solve 14*q
{ "pile_set_name": "DM Mathematics" }
late the lowest common multiple of 24 and 333. 2664 Calculate the common denominator of -23/2 and -47/384. 384 Calculate the common denominator of -26/945 and -68/9. 945 What is the lowest common multiple of 175 and 1425? 9975 What is the common denominator of -36/385 and 32/121? 4235 Calculate the least common multiple of 804 and 34. 13668 What is the least common multiple of 817 and 215? 4085 What is the smallest common multiple of 35 and 55? 385 What is the common denominator of -46/2765 and -54/35? 2765 What is the least common multiple of 6 and 28? 84 What is the lowest common multiple of 132 and 54? 1188 What is the common denominator of 101/4 and -43/2212? 2212 What is the common denominator of 81/56 and -16/5439? 43512 What is the smallest common multiple of 14 and 104? 728 Calculate the lowest common multiple of 4750 and 10. 4750 What is the common denominator of -23/1028 and 17/771? 3084 What is the least common multiple of 2408 and 12? 7224 What is the lowest common multiple of 16 and 8? 16 Calculate the lowest common multiple of 85 and 578. 2890 What is the least common multiple of 165 and 750? 8250 Calculate the lowest common multiple of 629 and 1. 629 Find the common denominator of 64/15 and 34/45. 45 Calculate the smallest common multiple of 1 and 614. 614 Find the common denominator of -25/329 and 31/470. 3290 Calculate the common denominator of 59/200 and -17/120. 600 Calculate the lowest common multiple of 1473 and 2455. 7365 What is the common denominator of 38/7 and 23/4? 28 What is the common denominator of 7/286 and 43/260? 2860 What is the smallest common multiple of 98 and 95? 9310 What is the common denominator of 11/250 and 71/250? 250 Calculate the least common multiple of 105 and 21. 105 What is the common denominator of -133/24 and 113/96? 96 Find the common denominator of 157/750 and -137/1650. 8250 What is the common denominator of -32/969 and 93/3572? 182172 What is the smallest common multiple of 1547 and 884? 6188 What is the common denominator of -49/12 and 103/76? 228 Calculate the common denominator of -151/516 and 45/14. 3612 What is the common denominator of -45/98 and 51/26? 1274 What is the least common multiple of 20 and 10? 20 Calculate the lowest common multiple of 11160 and 24. 11160 What is the least common multiple of 132 and 66? 132 What is the smallest common multiple of 13 and 104? 104 What is the lowest common multiple of 16 and 100? 400 Calculate the common denominator of 52/99 and 64/225. 2475 What is the lowest common multiple of 4851 and 21? 4851 Find the common denominator of 99/14860 and -93/20. 14860 Calculate the smallest common multiple of 154 and 112. 1232 Calculate the lowest common multiple of 132 and 99. 396 Find the common denominator of -20/11 and -30/3023. 33253 Calculate the least common multiple of 334 and 2. 334 Calculate the least common multiple of 54 and 54. 54 Calculate the common denominator of 89/320 and 97/120. 960 Find the common denominator of -19/2 and -133/6. 6 What is the smallest common multiple of 470 and 10? 470 What is the smallest common multiple of 11 and 99? 99 What is the smallest common multiple of 513 and 627? 5643 Find the common denominator of 99/56 and 57/7. 56 Calculate the least common multiple of 15 and 135. 135 Find the common denominator of -89/108 and 97/120. 1080 What is the lowest common multiple of 2697 and 435? 13485 Calculate the least common multiple of 335 and 20. 1340 Calculate the common denominator of -49/772 and -59/965. 3860 Calculate the common denominator of 77/24 and -149/186. 744 What is the smallest common multiple of 896 and 192? 2688 What is the common denominator of -41/504 and -55/728? 6552 Calculate the common denominator of 34/2415 and -67/759. 26565 What is the lowest common multiple of 210 and 318? 11130 Calculate the least common multiple of 24 and 2120. 6360 Calculate the common denominator of 109/26 and -69/578. 7514 What is the common denominator of 14/225 and -17/237? 17775 Calculate the common denominator of 55/4 and 73/874. 1748 Find the common denominator of 191/3540 and 107/60. 3540 Find the common denominator of 55/18 and 7/866. 7794 Calculate the common denominator of -85/78 and -13/18. 234 Calculate the lowest common multiple of 20 and 342. 3420 What is the least common multiple of 63 and 4? 252 What is the common denominator of 61/136 and -67/24? 408 What is the lowest common multiple of 46 and 6? 138 Calculate the lowest common multiple of 64 and 256. 256 Calculate the least common multiple of 120 and 200. 600 Find the common denominator of 101/14 and -49/120. 840 What is the least common multiple of 24 and 46? 552 What is the common denominator of -163/66 and 103/276? 3036 Calculate the lowest common multiple of 122 and 226. 13786 Calculate the lowest common multiple of 232 and 58. 232 Calculate the smallest common multiple of 36 and 360. 360 Find the common denominator of 55/1176 and 59/112. 2352 What is the lowest common multiple of 11 and 643? 7073 Calculate the least common multiple of 871 and 6. 5226 What is the common denominator of -29/159 and 5/159? 159 What is the least common multiple of 44 and 916? 10076 What is the common denominator of 131/198 and -49/220? 1980 What is the lowest common multiple of 2482 and 6? 7446 What is the common denominator of -31/2348 and -13/4? 2348 Calculate the smallest common multiple of 216 and 40. 1080 What is the lowest common multiple of 412 and 16? 1648 Find the common denominator of 89/6 and -41/130. 390 What is the lowest common multiple of 800 and 160? 800 Find the common denominator of -19/172 and -77/3870. 7740 What is the least common multiple of 330 and 3? 330 Calculate the lowest common multiple of 4896 and 136. 4896 Calculate the common denominator of -80/63 and 74/1659. 4977 Find the common denominator of -19/3 and -46/3843. 3843 Calculate the smallest common multiple of 9856 and 1540. 49280 Calculate the common denominator of 73/144 and -67/117. 1872 Find the common denominator of -27/14 and -46/3. 42 Calculate the least common multiple of 308 and 24. 1848 Calculate the common denominator of 47/81 and 77/318. 8586 Calculate the lowest common multiple of 414 and 414. 414 What is the common denominator of 65/58 and -41/10? 290 What is the least common multiple of 3609 and 36? 14436 What is the lowest common multiple of 3 and 78? 78 Calculate the smallest common multiple of 65 and 18. 1170 What is the common denominator of 7/87 and -69/2? 174 Calculate the common denominator of -62/63 and 68/3. 63 What is the common denominator of 95/2 and 27/147362? 147362 What is the smallest common multiple of 56 and 35? 280 Calculate the common denominator of 107/516 and -65/12. 516 Calculate the smallest common multiple of 180 and 80. 720 What is the smallest common multiple of 18 and 120? 360 Calculate the lowest common multiple of 33 and 300. 3300 Find the common denominator of 26/15 and 113/17352. 86760 What is the smallest common multiple of 20 and 1360? 1360 Calculate the lowest common multiple of 8 and 9100. 18200 What is the common denominator of -23/14 and -107/52? 364 Find the common denominator of 71/678 and 71/12. 1356 What is the least common multiple of 648 and 10? 3240 What is the lowest common multiple of 17 and 8? 136 What is the common denominator of 11/60 and -91/192? 960 What is the smallest common multiple of 3 and 312? 312 Calculate the lowest common multiple of 27 and 2529. 7587 Calculate the common denominator of 79/1131 and -71/33. 12441 What is the lowest common multiple of 24912 and 30? 124560 Calculate the smallest common multiple of 2254 and 4. 4508 Calculate the lowest common multiple of 48 and 36. 144 What is the least common multiple of 10 and 16? 80 Calculate the smallest common multiple of 316 and 12. 948 Calculate the common denominator of 115/444 and -53/144. 5328 Find the common denominator of 37/9 and 149/696. 2088 Calculate the common denominator of -83/30 and 68/93. 930 Calculate the common denominator of 52/415 and -11/2490. 2490 What is the common denominator of 27/325 and -88/585? 2925 Calculate the lowest common multiple of 55 and 5. 55 Calculate the lowest common multiple of 13160 and 423. 118440 What is the least co
{ "pile_set_name": "DM Mathematics" }
, -0.2 in increasing order. -0.5, -0.2, -2/3695 Put 17, -20, -15 in descending order. 17, -15, -20 Sort 2, 21, 0 in descending order. 21, 2, 0 Sort 1, 2, 78, -0.1 in increasing order. -0.1, 1, 2, 78 Put 7, -5, 313 in decreasing order. 313, 7, -5 Sort 1, -11, -3, -1 in decreasing order. 1, -1, -3, -11 Sort -3/5, -16.1, -1/3, 0.5 in ascending order. -16.1, -3/5, -1/3, 0.5 Sort 1, -3, -2, 5, -0.4. -3, -2, -0.4, 1, 5 Put 0.2, -2, -84, 5 in ascending order. -84, -2, 0.2, 5 Sort -5, 1, 11, 4. -5, 1, 4, 11 Sort -6, -5, 5, 15, -4 in decreasing order. 15, 5, -4, -5, -6 Put 4, -1, -510 in descending order. 4, -1, -510 Put -0.1, -3/7, -6 in descending order. -0.1, -3/7, -6 Sort -2, 3, -5, -34. -34, -5, -2, 3 Put 1, 4, 10, 3 in decreasing order. 10, 4, 3, 1 Sort -2, -3, -4 in decreasing order. -2, -3, -4 Sort 2/13, -5, 143, 0 in increasing order. -5, 0, 2/13, 143 Sort -0.5, 1/5, 4, 1, -1/12 in descending order. 4, 1, 1/5, -1/12, -0.5 Put -3, -5, 3, 5, 374 in increasing order. -5, -3, 3, 5, 374 Put 5, 11, -3, -5 in descending order. 11, 5, -3, -5 Put -0.037, -1/4, -0.4 in ascending order. -0.4, -1/4, -0.037 Sort 1, -0.1, 4 in increasing order. -0.1, 1, 4 Sort 2, 30, -5, 25 in increasing order. -5, 2, 25, 30 Sort 0, 5, -29 in decreasing order. 5, 0, -29 Sort 1, -12, 4, 0.5 in decreasing order. 4, 1, 0.5, -12 Sort -3, 0.12, -1/3 in ascending order. -3, -1/3, 0.12 Put 424, 3, 14, -4 in descending order. 424, 14, 3, -4 Sort 8/3, -1, -1/3, 3 in ascending order. -1, -1/3, 8/3, 3 Sort -1, 21, 0, 2 in ascending order. -1, 0, 2, 21 Put 0, -5, 1456 in decreasing order. 1456, 0, -5 Sort 1, 0.1, 2/35 in descending order. 1, 0.1, 2/35 Sort -5, -131, -4 in ascending order. -131, -5, -4 Sort 4, -1, 0, -34 in increasing order. -34, -1, 0, 4 Put 3, -9, -4 in descending order. 3, -4, -9 Sort 1, -6, -1, -4. -6, -4, -1, 1 Sort 10, 1, -10, 8, -5 in increasing order. -10, -5, 1, 8, 10 Put 1/6, -0.2, 0.05, 0.4 in descending order. 0.4, 1/6, 0.05, -0.2 Put 0.008, -15, -1/6, 2/11 in descending order. 2/11, 0.008, -1/6, -15 Put -0.1, -63, 1 in descending order. 1, -0.1, -63 Put 1, -1, 13, -5, -9 in decreasing order. 13, 1, -1, -5, -9 Sort -6/7, 2/15, 74 in descending order. 74, 2/15, -6/7 Put 56, -6, -4 in decreasing order. 56, -4, -6 Put 4, -60, -2 in decreasing order. 4, -2, -60 Sort 1, -2, 2, 9 in decreasing order. 9, 2, 1, -2 Put -5, -1/55, 225 in ascending order. -5, -1/55, 225 Put -1396, 0, -3 in descending order. 0, -3, -1396 Put 7, -2, -5, -4 in ascending order. -5, -4, -2, 7 Sort -1/4, 2/4655, 2, -0.4 in ascending order. -0.4, -1/4, 2/4655, 2 Put -2, -1, -5, -14 in increasing order. -14, -5, -2, -1 Sort 1, 3, -2 in descending order. 3, 1, -2 Sort -0.5, 4, 0.016, 0.1 in descending order. 4, 0.1, 0.016, -0.5 Sort 5, -3, 36 in decreasing order. 36, 5, -3 Sort -1, 78, 4 in ascending order. -1, 4, 78 Sort -5, -2, -16, -9. -16, -9, -5, -2 Put -1, -8, -24 in increasing order. -24, -8, -1 Sort -2, -10, -3, 5, -4 in increasing order. -10, -4, -3, -2, 5 Put 9, 3, -4, -5 in descending order. 9, 3, -4, -5 Put 2, 4, 18, -7 in descending order. 18, 4, 2, -7 Put 3/7, -5, -3, 2/3 in decreasing order. 2/3, 3/7, -3, -5 Put -2, 1, 0, -14 in descending order. 1, 0, -2, -14 Put 4, 2, -4, -9 in ascending order. -9, -4, 2, 4 Sort 13, -20, -6, -4. -20, -6, -4, 13 Sort -3, -14, 0.2 in increasing order. -14, -3, 0.2 Put 13, 1, -0.3, -2/7, 3 in descending order. 13, 3, 1, -2/7, -0.3 Put -62, 10, 1 in decreasing order. 10, 1, -62 Put -4, 6, 15 in ascending order. -4, 6, 15 Sort -0.2, 2, -6, 1, -3/7. -6, -3/7, -0.2, 1, 2 Put -3, -25, 1 in decreasing order. 1, -3, -25 Put -83, 5, 3, 2, -19 in ascending order. -83, -19, 2, 3, 5 Sort 3, 1.2, 2 in descending order. 3, 2, 1.2 Put -1, 3, 4, 13, -18 in increasing order. -18, -1, 3, 4, 13 Sort 2/11, -1/4, -2/3, -1 in increasing order. -1, -2/3, -1/4, 2/11 Sort -2, 0, 1.59 in decreasing order. 1.59, 0, -2 Sort 2, -86, -5 in ascending order. -86, -5, 2 Sort -23.9, 4, 5, 3 in descending order. 5, 4, 3, -23.9 Put 7, 0.2, 3/22, -0.8 in ascending order. -0.8, 3/22, 0.2, 7 Sort -33, 1, 3, -1 in increasing order. -33, -1, 1, 3 Sort -141, -1, -3. -141, -3, -1 Sort -0.17, -1/3, 3, -5, 2 in decreasing order. 3, 2, -0.17, -1/3, -5 Put -3, -5, 8, 2, 10 in decreasing order. 10, 8, 2, -3, -5 Put 0.4, 29, -3/5 in decreasing order. 29, 0.4, -3/5 Sort -11, 53, 1 in ascending order. -11, 1, 53 Sort -4, 0.08, 67 in ascending order. -4, 0.08, 67 Sort -3, -10, 15, 5 in ascending order. -10, -3, 5, 15 Put -5, -4/7, -15 in descending order. -4/7, -5, -15 Sort -6, -2, 5. -6, -2, 5 Sort 0, -247, -0.1 in descending order. 0, -0.1, -247 Sort 341, 1, -5 in descending order. 341, 1, -5 Sort 3, -5, 2, 0, -1186. -1186, -5, 0, 2, 3 Put 0, 731, 0.8 in increasing order. 0, 0.8, 731 Put -17, -4, 0, -1, 4 in increasing order. -17, -4, -1, 0, 4 Put 23, -19, -5 in decreasing order. 23, -5, -19 Sort 0, -5, 19 in ascending order. -5, 0, 19 Sort -2, -1/3, 671, 4 in increasing order. -2, -1/3, 4, 671 Put -3, 7, 0, -1 in descending order. 7, 0, -1, -3 Sort -3, 8, -4/7. -3, -4/7, 8 Sort -0.07, -3/4, -2/7. -3/4, -2/7, -0.07 Put -0.3, -3, 7, -1/60 in decreasing order. 7, -1/60, -0.3, -3 Sort -4, -21, 10, -1 in increasing order. -21, -4, -1, 10 Sort 1/2, -17, 3/5, 13 in decreasing order. 13, 3/5, 1/2, -17 Put 2953, -4, -2 in ascending order. -4, -2, 2953 Put 106, 5, -4 in increasing order. -4, 5, 106 Put -46, -2, -4 in descending order. -2, -4, -46 Sort -4, -1, 4, 8 in ascending order. -4, -1, 4, 8 Sort 31, 120, 0, 5, -4 in increasing order. -4, 0, 5, 31, 120 Put -5, -1.78, -2 in decreasing order. -1.78, -2, -5 Sort -82, 9, 4 in increasing order. -82, 4, 9 Sort 2, -2/9, -377 in decreasing order. 2, -2/9, -377 Put 2, -3/2, -62, 5 in descending order. 5, 2, -3/2, -62 Sort -3/2, 0.2, 5, -2/3. -3/2, -2/3, 0.2, 5 Put -4, 0, 58, -8 in ascending order. -8, -4, 0, 58 Sort -0.054, 3, -3, -4 in decreasing order. 3, -0.054, -3, -4 Sort 4, 2, -4, -0.2, 683 in increasing order. -4, -0.2, 2, 4, 683 Put 0.36, 1, -19 in increasing order. -19, 0.36, 1 Sort 5, 9, 15, 0 in increasing order. 0, 5, 9, 15 Put -2/9, -2/3, 2855 in descending order. 2855, -2/9, -2/3 Put 14, -13, -28 in decreasing order. 14, -13, -28 Sort 3/5, 73, 9, -0.2, 0.1. -0.2, 0.1, 3/5, 9, 73 Put 5, 6, -3, -2, 0 in increasing order. -3, -2, 0, 5, 6 Sort 0.2, -2, 16/3, -1/7, -0.5. -2, -0.5, -1/7, 0.2, 16/3 Sort -11, 1, -5, -4 in descending order. 1, -4, -5, -11 Put 1/3, 3/2, -4, 0.2, -0.1 in descending order. 3/2, 1/3, 0.2, -0.1, -4 Sort 3, -17.5, 1/3 in ascending order. -17.5, 1/3, 3 Put -6, 5/4, -1/4, 4/5 in ascending order. -6, -1/4, 4/5, 5/4 Sort -19, 0, -1, 0.1 in increasing order. -19, -1, 0, 0.1 Put -1, -10, -3, -4 in decreasing order. -1, -3, -4, -10 Sort -1, -6, -34, 2 in descending order. 2, -1, -6, -34 Sort 309, -2, -12, -4 in increasing order. -12, -4, -2, 309 Sort -7, -7/5, -0.4, 0.5 in ascending order. -7, -7/5, -0.4, 0.5 Put -5, 1/361, 0.5 in increasing order. -5, 1/361, 0.5 Put -1, 0, -5, -927, 2 in decreasing order. 2, 0, -1, -5, -927 Put -134, 4, 1, 2 in increasing order. -134, 1, 2, 4 Sort -4, 4, 1, 139, -3. -4, -3, 1, 4, 139 Sort 8, 18, -4. -4, 8, 18 Sort 3, 0, 1/6, 8. 0, 1/6, 3, 8 Put 3, 11, 6, -1 in decreasing order. 11, 6, 3, -1 Put 296, -2/9, 0.4 in descending order. 296, 0.4, -2/9 Sort 5, -57/4, 5/4 in ascending order. -57/4, 5/4, 5 Put -151/6, 1/5, -1/3, 0.5 in descending order. 0.5, 1/5, -1/3, -151/6 Sort 0, 1.3, 5, 0.4 in increasing order. 0, 0.4, 1.3, 5 Put -3, -2, 5, 73 in ascending order. -3, -2, 5, 73 Sort 48, 1, -52, -2/5 in decreasing order. 48, 1, -2/5, -52 Sort -277, 4, -1 in descending order. 4, -1, -277 Put -1, 2/9, -1.2 in descending order. 2/9, -1, -1.2 Sort 232, -6/5, 1 in increasing order. -6/5, 1, 232 Sort -2, -1, -0.5, -7/5, 2/11 in descending order. 2/11, -0.5, -1, -7/5, -2 Put -3, 2/11, -1, -7.3 in decreasing order. 2/11, -1, -3, -7.3 Sort 4, 3, 45, 0.1 in descending order. 45, 4, 3, 0.1 Put -1/3, -0.5, 2, 7 in descending order. 7, 2, -1/3, -0.5 Sort -0.08, 1, 0.4, -2, 10 in ascending order. -2, -0.08, 0.4, 1, 10 Sort -1, 1.6, 2, -8. -8, -1, 1.6, 2 Put 76/11, -1/2, -1/3 in decreasing order. 76/11, -1/3, -1/2 Put -147, -1, -5, -2, -4 in decreasing order. -1, -2, -4, -5, -147 Sort 1, -4/393, -4. -4, -4/393, 1 P
{ "pile_set_name": "DM Mathematics" }
+ 3. Let i(g) = 3*g**3 + 3*g**2 - g - 4. Give 5*a(o) + 4*i(o). 2*o**3 - 3*o**2 - 4*o - 1 Let z(p) be the first derivative of 3*p**4/2 + 23*p + 112. Let u(g) = -2*g**3 - 8. Give -17*u(i) - 6*z(i). -2*i**3 - 2 Let p(z) = -z**3 + 6*z + 7*z**3 - 5*z**2 - 5*z**3 - 5. Let u be p(4). Let x(t) = t**2 - 5*t + 9. Let n(j) = -j**2 + 3*j - 5. Calculate u*x(k) + 5*n(k). -2*k**2 + 2 Let v be 4 + 0 + 1 + 1. Let l(k) be the second derivative of -1/6*k**3 + 0 + 4*k - 1/2*k**2. Let y(i) = -2*i - 4. What is v*l(b) - 2*y(b)? -2*b + 2 Let h(t) = 2*t**2 - t - 2. Let l be h(0). Let n(j) = 3*j**2 - 2*j. Let c(s) be the second derivative of -5*s**4/12 + 5*s**3/6 + 18*s. What is l*c(f) - 5*n(f)? -5*f**2 Let d(z) = z**3 - 19*z**2 - 32*z - 8. Let t(c) = -7*c**2 - 11*c - 3. Calculate 4*d(b) - 11*t(b). 4*b**3 + b**2 - 7*b + 1 Let n(l) = -6*l - 3. Let i(m) be the second derivative of m**3/6 + m**2/2 + m. Let v(q) = q**3 - 27*q**2 - 31*q + 83. Let t be v(28). Calculate t*n(o) - 3*i(o). 3*o Let z(d) = d - 3. Let f(l) = 6. What is -4*f(k) - 3*z(k)? -3*k - 15 Let a(p) = 35*p**3 - 3*p**2 - 3. Let f(y) = 2204*y**3 - 190*y**2 - 190. Determine -190*a(b) + 3*f(b). -38*b**3 Let m = 4 - 1. Let v(u) = -25*u + 1. Let d(i) = -5*i. Let j(w) = -11*d(w) + 2*v(w). Let s(x) = 4*x + 1. Calculate m*s(p) - 2*j(p). 2*p - 1 Let q(x) = x**2 - 2*x + 1. Let t(l) = -220*l**2 + 10*l - 7. Calculate 5*q(g) + t(g). -215*g**2 - 2 Let y(k) be the first derivative of k**2 - 2*k + 87. Let i = 1 + -4. Let m be 3/(-1)*(-2)/6. Let l(p) = -1. What is i*l(f) + m*y(f)? 2*f + 1 Let y(a) = a**2. Let t(d) = 4*d + 18. Let h = 42 + -46. Let r be t(h). Let s(z) = 5*z**2. Calculate r*s(w) - 9*y(w). w**2 Let o(y) = y**2 - 12*y + 41. Let x be o(8). Let s(b) = -3*b**3 - x + b**3 + 13 + 11*b - 7*b**2. Let c(w) = -w**3 - 3*w**2 + 5*w + 2. Determine -7*c(v) + 3*s(v). v**3 - 2*v - 2 Let i(c) = 5*c**2 + 6*c - 4. Let v(n) = -11*n**2 - 13*n + 8. Suppose -49 = -5*o - 4*m, -8*m - 46 = -2*o - 3*m. Give o*i(x) + 6*v(x). -x**2 - 4 Let c(q) = 3*q**2 + 4. Let f be 164/20 - 2/10. Suppose 0 = -3*r - f - 4. Let a(s) be the second derivative of -s**4/6 - 3*s**2/2 + s. Calculate r*a(m) - 3*c(m). -m**2 Let m(a) = 3*a + 4. Let c be -1 + 0 + 5 + 0. Let u(q) = 2*q + 3. Suppose 0 = 4*h - h + 6, 2*h + 536 = -4*g. Let l = g + 130. Determine c*u(f) + l*m(f). -f Let o(t) = 40002*t**3 - 904*t**2 + 1808*t - 1808. Let j(a) = -221*a**3 + 5*a**2 - 10*a + 10. Calculate 904*j(h) + 5*o(h). 226*h**3 Let b = -1 + 9. Let t(y) = -8*y. Let r(v) = -162*v. Let d(p) = 19*p. Let s(i) = 42*d(i) + 5*r(i). Give b*t(l) - 5*s(l). -4*l Let f be 1/2*2 - -17. Let d = -7 + f. Let x(o) = o - 6. Let p(v) be the third derivative of -v**4/8 + 17*v**3/6 + 2*v**2. What is d*x(z) + 4*p(z)? -z + 2 Let y = 43 + -31. Let w(t) = 7 + t - y + 6. Let k(z) = -z**2 - 5*z. Let d be k(-4). Let q(s) = s + 1. Determine d*q(l) - 5*w(l). -l - 1 Let t(l) = -5*l**3 + 3*l**2 - 2*l - 4. Let g(s) = -4*s**3 + 2*s**2 - 2*s - 3. Suppose 0 = 5*o + 4*j - 10, 4*o - 2*j - 8 = -6*j. What is o*t(i) - 3*g(i)? 2*i**3 + 2*i + 1 Let f(w) = -2 + 0*w**2 + 7 + 0 + 3*w**2. Let x = 1 + 2. Suppose 4*v - z = 33, 2*v + 0 - 29 = x*z. Let u(a) = -4*a**2 - 7. Give v*f(k) + 5*u(k). k**2 Let f(y) be the first derivative of -y**2/2 - y + 1. Let k be 106/22 + (-6)/(-33). Let h(i) = 2*i + 1. Calculate k*h(a) + 7*f(a). 3*a - 2 Suppose 0 = -81*p + 82*p + 16. Let m be (-66)/p - (246/48 + -5). Let q(c) = -c**2 - c - 5. Let g(s) = -s**2 - 2*s - 6. Determine m*q(z) - 3*g(z). -z**2 + 2*z - 2 Let h(q) be the first derivative of -5*q**3/3 - 3*q**2/2 - 3*q + 2. Let i(n) be the first derivative of 3*n**3 + 5*n - 1 + 5/2*n**2. Calculate 5*h(w) + 3*i(w). 2*w**2 Let x(w) = -1005*w**3 - 2*w - 2. Let z(g) = -369840*g**3 - 737*g - 737. Give -737*x(l) + 2*z(l). 1005*l**3 Let g(h) = h**2 - 44*h - 5. Let y(s) = -15*s - 1. Give -2*g(t) + 7*y(t). -2*t**2 - 17*t + 3 Let a(g) = g**3 + g**2 + g - 1. Let n(t) = -t**3 - 3*t**2 + 74*t + 3. Calculate 3*a(s) + n(s). 2*s**3 + 77*s Let v(p) = p. Let x(d) = -4*d - 17 + 12*d**2 + 44 - 27. Calculate 4*v(g) + x(g). 12*g**2 Let i(h) = h**3 - h**2 - h + 1. Let z(a) = -463*a**3 - a**2 - a. What is -i(r) + z(r)? -464*r**3 - 1 Let x(l) = l + 2. Let g(r) = -r - 1. Let o be 5/2 + 6/8*-6. Determine o*g(u) - x(u). u Let q be -5*((-16)/20 + 2). Let c(s) = -5*s**3 + 3*s**2 - 3. Let x be (-1*6)/(45/(-10) + 3). Let y(j) = -4*j**3 + 2*j**2 - 2. What is q*y(a) + x*c(a)? 4*a**3 Let j(y) = 24*y**2 - 6*y + 19. Let r(z) = -23*z**2 + 5*z - 16. Calculate 5*j(o) + 6*r(o). -18*o**2 - 1 Let h(l) be the first derivative of 2*l**3 - 4*l**2 - 8*l + 1. Let b(q) be the first derivative of -41 + 2/3*q**3 - 3*q - 3/2*q**2. Give -14*b(f) + 5*h(f). 2*f**2 + 2*f + 2 Let i(o) = -42*o + 1. Let q(w) = 89*w - 2. What is 7*i(j) + 3*q(j)? -27*j + 1 Let y(o) = -o**2 + o. Let h(c) = 5*c**2 - 84*c - 18. Let t be h(17). Let n(s) = -10*s**2 + 6*s + 1. Determine t*n(w) + 5*y(w). 5*w**2 - w - 1 Let q(u) = 48*u**3 + 8. Let c(n) = 96*n**3 + 15. Give -5*c(r) + 9*q(r). -48*r**3 - 3 Let v(w) = 5*w**2 - 3*w - 2. Let b(n) = 5*n**2 - 2*n - 2. What is -3*b(a) + 2*v(a)? -5*a**2 + 2 Let n = 113 - 48. Let v = n + -59. Let c(q) = -3*q**3 + 2*q - 2. Let s(p) = -4*p**3 - 7*p + 15*p**3 - p**3 + 7. Give v*s(u) + 21*c(u). -3*u**3 Let a(h) = 6*h**3 - 3*h**2 - 2*h - 5. Let t(s) = s**3 - s**2 - 1. Give a(v) - 4*t(v). 2*v**3 + v**2 - 2*v - 1 Suppose 5*m - 33 = -38. Let p(b) = b**2 - b - 1. Let d(g) = 3*g**2 - 5*g - 4. What is m*d(h) + 4*p(h)? h**2 + h Suppose -3*i - 19 = 5. Let u(z) = -z - 1. Let q(o) = -6*o + 18. Let f(r) = 26*r - 82. Let c(w) = -2*f(w) - 9*q(w). Give i*u(k) - 3*c(k). 2*k + 2 Let g(w) = -29*w**2 - 10*w - 2. Let d(j) = 14*j**2 + 4*j + 1. Calculate 5*d(m) + 2*g(m). 12*m**2 + 1 Let p(r) = -90*r - 6. Let z(j) = 46*j + 3. Give 3*p(t) + 7*z(t). 52*t + 3 Let x(t) = t**2 - 4*t - 1. Let m(z) = 5*z**2 - 17*z - 5. Suppose -2*a + 23 = 9. Let i(n) = n - 5. Let r be i(a). Determine r*m(o) - 9*x(o). o**2 + 2*o - 1 Let o(v) = 2*v**2 + 2. Let m(f) = -13*f**2 - 11. Let d(w) = m(w) + 6*o(w). Let u(j) = -9*j**2 - j + 6. Calculate -6*d(g) + u(g). -3*g**2 - g Suppose 27 + 15 = -7*l. Let s(x) = 5*x**3 + 4*x**2 - 4*x + 3. Let g(r) = -19*r**3 - 15*r**2 + 15*r - 11. Determine l*g(d) - 22*s(d). 4*d**3 + 2*d**2 - 2*d Let v(h) be the first derivative of 2*h**3/3 + 3*h**2/2 - 2*h - 1. Let i = 566 - 567. Let n(q) = -q**2 - 1 - q + 5 - 3. Determine i*v(g) - n(g). -g**2 - 2*g + 1 Let c(k) = -6*k**3 + 4*k - 4. Suppose 0 = -4*v + 8*v - 32. Suppose 6*u - 8 = v*u. Let q(x) = -13*x**3 + 9*x - 9. Give u*q(h) + 9*c(h). -2*h**3 Let b(c) = -16*c + 75. Let w(y) = -3*y + 15. What is 2*b(z) - 11*w(z)? z - 15 Suppose -2*m + 0 = 12. Let z = 56 + -50. Let o(a) = 9*a**3 - 2*a + 0 - 10*a**3 - z + 6*a**2. Let r(l) = l**3 - 5*l**2 + 2*l + 5. Give m*r(b) - 5*o(b). -b**3 - 2*b Suppose 0 = 20*w - 4*w - 64. Let z(n) = 97*n**2 - 6*n - 51*n**2 + w - 52*n**2. Let d(b) = 17*b**2 + 17*b - 11. What is -4*d(m) - 11*z(m)? -2*m**2 - 2*m Let f(h) = -8*h**2 + 5*h + 2. Let s(k) = -24*k**2 + 14*k + 5. Give 8*f(r) - 3*s(r). 8*r**2 - 2*r + 1 Let t(w) = -2*w - 4. Let j(c) = 10*c + 57. What is j(d) + 4*t(d)? 2*d + 41 Let o(z) = -222 + 435 - 209 + 2*z. Let l(m) = -3*m - 7. Give -4*l(t) - 7*o(t). -2*t Let s = 601 + -595. Let g(q) = -q**3 - 1. Let u(k) = 5*k**3 + 6. What is s*g(c) + u(c)? -c**3 Let h(t) = -8*t**2 - 106*t + 5. Let k(o) = 2*o**2 - o - 1. Calculate h(n) + 5*k(n). 2*n**2 - 111*n Let b(k) = -k + 3. Let o(g) = 4*g - 9. Let y(t) = -t**3 - 8*t**2 - 2*t + 63. Let x be y(-5). Calculate x*o(d) - 7*b(d). -d - 3 Let i(l) = 266*l + 2. Let a(r) = -131*r - 1. What is -5*a(z) - 3*i(z)? -143*z - 1 Let p(q) be the second derivative of 2*q**4/3 + q**3/2 - 3*q**2 + 23*q. Let u(i) = -3*i**2 - i + 2. Let y = 63 - 52. Give y*u(v) + 4*p(v). -v**2 + v - 2 Let i(n) = n**2 - 49. Let c(o) = o**2 - 51. Give 3*c(l) - 2*i(l). l**2 - 55 Let d(r) = 15*r**2 + 26*r + 6. Let u(o) = 12*o**2 + 25*o + 5. Calculate 5*d(v) - 6*u(v). 3*v**2 - 20*v Let n(t) = 36*t + 9. Let a(i) = -38*i - 9. What is -4*a(x) - 3*n(x)? 44*x + 9 Let x(c) = 4*c**2 + 3*c - 6. Let o(r) = -8*r**2 - 7*r + 13. Calculate -3*o(m) - 7*x(m). -4*m**2 + 3 Let w(l) = 4*l**3 - 4. Let u(z) = -13*z**3 + z + 13. Let s(v) = -2*u(v) - 7*w(v). Let c(a) = 3*a**3 + 5*a - 4. Determine 2*c(i) + 5*s(i). -4*i
{ "pile_set_name": "DM Mathematics" }
ne million. -42000000 Let t = -0.453734 + 309532.453734. Let y = t - 309517.00055. Let o = 15 - y. Round o to four dps. 0.0006 Let m = 0.03 - 7.18. Let x = 0.15 + m. Let u = x + 5.6. What is u rounded to 0 decimal places? -1 Let o = -52.628 + 0.728. Let l = 43 + o. What is l rounded to zero decimal places? -9 Let r = 2857 - 1067. Let i be 15/60 - r/(-8). Round i to the nearest ten. 220 Let l = 77.15 + -89. Let q = l + 1.55. Let z = q + 23.2. Round z to the nearest integer. 13 Let t be 5 - (-3 - (-24)/4). Let w be 6/(-3)*t - (-11400004 - 0). Round w to the nearest one million. 11000000 Suppose -t - 2*t - 3*z - 15 = 0, -4*t + 5*z = 20. Let p be ((-23500)/(-16))/t*320. Let v be (p/6)/(6/3600). What is v rounded to the nearest one million? -9000000 Let v = 33.1 + -29. Let m = -4.09999906 + v. Round m to seven decimal places. 0.0000009 Let h = -1.369 - -5.381. Let j = h - -0.088. Let o = -3.05 + j. Round o to 1 dp. 1.1 Let p = -0.224 + 0.212. What is p rounded to two dps? -0.01 Let o = -41 + 40.44. Let a = o + 0.559999441. Round a to 7 dps. -0.0000006 Let g = -12.525862 + 12.7131. Let i = -172 + 171.813. Let v = i + g. What is v rounded to five dps? 0.00024 Let j be (0 - 1)*(-5 + 4/1). Let k be 260/(-3)*(2 - -16)*j. Round k to the nearest 100. -1600 Let d = -37 - 42. Let h = -79.149 - d. Round h to two decimal places. -0.15 Let b = 16.9 + -17.8. Let n = 1974040 - 1974040.900001. Let r = n - b. Round r to 6 dps. -0.000001 Let l be (40/6)/(24/396). Let p be (-9)/(9/l)*13. Round p to the nearest 100. -1400 Let m = -24 - -43. Let p = -8 + m. Let u = -10.983 + p. Round u to 2 decimal places. 0.02 Let q = -23131.87 + 23037. Let b = q + 1.87. Let w = 92.99937 + b. Round w to four decimal places. -0.0006 Let y = 2762.03373 - 2762. What is y rounded to 3 dps? 0.034 Let l = -0.69 - 116.31. Let b = l - -183. Let z = -65.959 + b. What is z rounded to two decimal places? 0.04 Let r be -11308 + (-1)/((-1)/(-2)). Let b = r + 1510. Round b to the nearest 1000. -10000 Suppose 695 = 14*i - 1363. What is i rounded to the nearest 10? 150 Suppose -47*z + 43*z = -60440. Round z to the nearest 1000. 15000 Let i = 2162.57 - 2160.64726. Let j = 0.082 - 2.002. Let m = i + j. Round m to four dps. 0.0027 Let j = 0.268846 + 125.604154. Let r = j - 126. Round r to 2 dps. -0.13 Let a be 4/10 - 72/(-45). Suppose -13 = -3*w - 5*q, 2*q = 2*w - 12 - a. Suppose 0 = -w*r + 1489 + 143. Round r to the nearest 10. 270 Suppose 2*d + 6 = -4*v, v + 0*d + 18 = 5*d. Let k be -6 + 8 - (-3)/(v/(-173)). What is k rounded to the nearest ten? 180 Suppose -2*m = 5*q + 6, -5*m + 4 = 4*q + 2. Suppose -2*h = d + m*d - 1470004, 979998 = 2*d - h. What is d rounded to the nearest 100000? 500000 Let c = 891473 + -891473.0600009. Let w = c - -0.06. What is w rounded to seven decimal places? -0.0000009 Let h be 1*3/3 - 1. Suppose r - 920 = -4*i - 3*r, h = 3*r. What is i rounded to the nearest 100? 200 Let m = 77.998956 - 78. What is m rounded to four dps? -0.001 Let q = -30.9 + 234.9. Let u = q - 203.99913. Round u to four decimal places. 0.0009 Let f(j) = 6034 + 5025 + 10961 + 2*j. Let h be f(0). Suppose -2*l - 6*q + 8780 = -q, -5*q = -5*l + h. What is l rounded to the nearest one thousand? 4000 Let d = 6559364.99919 + -6559426. Let c = d - -61. Round c to four dps. -0.0008 Suppose 2*m = 4*m - 41200. Round m to the nearest one thousand. 21000 Let x = 1895 + -1805.9. Round x to the nearest ten. 90 Let w = -73 - -73.037. Let d = -2.203 - w. Let c = -1.8 - d. What is c rounded to one decimal place? 0.4 Let c = -306 + 306.00254. Round c to 3 dps. 0.003 Let d = -176.18 + 184. What is d rounded to one dp? 7.8 Suppose l - 32 + 30 = 0. Suppose 2*w = -2*t - 206, w = 5*t + l*w + 503. What is t rounded to the nearest 1000? 0 Let w = -1802621357.7720337 - -1835919316.77203. Let z = -33297961 + w. Let h = z - -2. Round h to six decimal places. -0.000004 Let g = 6.04 - 52.25. What is g rounded to the nearest integer? -46 Let k = 37.21 - 37. Let g = -93 + 91.29. Let y = k - g. What is y rounded to 1 decimal place? 1.9 Let z = -15.32 - -0.32. Let a = -15.08 - z. Let d = 0.08004 + a. What is d rounded to four decimal places? 0 Let x = 1.358 - -21.202. Let i = x - 23. Let d = -0.296 - i. Round d to 2 decimal places. 0.14 Let s = 0.065 + 115.935. Let a = -115.9999756 + s. What is a rounded to 5 decimal places? 0.00002 Let a = 295 - 143. Suppose 28 + a = 4*g. Let q be (g/(-6))/(2/(-12)). What is q rounded to the nearest ten? 50 Let d = 11299 - 11293.599. Let v = d - 0.101. Let a = -5.30000074 + v. What is a rounded to 7 decimal places? -0.0000007 Let r = 3.91 + 1.45. Let j = 5.3871 - r. Round j to 2 dps. 0.03 Let t(o) = -o**3 + 7*o**2 - 7*o - 6. Let x be t(4). Suppose 0 = 5*u - x*u. What is u rounded to six dps? 0 Suppose 5*u - 3580 = 11725. What is u rounded to the nearest 100? 3100 Let s = -252.8 + 0.8. Let r = -10322.61 + 10072. Let h = r - s. Round h to one dp. 1.4 Let k = 97.43 - 97.417222. What is k rounded to 4 decimal places? 0.0128 Suppose -3*s = -3*y + 3285003, -3*s + 4*s = 2*y - 1095002. Round s to the nearest one hundred thousand. -1100000 Let p = 59 - 41. Let i be 0 + 156 + p/6. What is i rounded to the nearest ten? 160 Let i = 367 + -231. Let f = 148.1 - i. What is f rounded to the nearest integer? 12 Let j(b) = 6*b + 6. Let t be j(-2). Let o be -1*(-274)/t*(-12 - 299988). Round o to the nearest one million. 14000000 Let o(g) = g**3 - 2*g**2 - 2*g - 1. Let l be o(3). Suppose 0 = -4*q - 9 + 25. Let s be 59004 + (-8*l)/q. Round s to the nearest 10000. 60000 Let i = -2.44 - -173.44. Let k = 65 - i. Let j = 106.00000059 + k. Round j to 7 decimal places. 0.0000006 Let d = -5.46 - 0.04. Let j = d + 8.24. Let a = j + -2.7399883. Round a to six decimal places. 0.000012 Let b = 737 + -736.9999105. Round b to 6 dps. 0.00009 Suppose 0 = 5*s + 4*y - 3510 - 14803, 3*s - 10989 = -2*y. What is s rounded to the nearest one hundred? 3700 Let z = 10.83 - 17.83. Let u = 8391.99743 - 8384.99743158. Let c = u + z. What is c rounded to 7 decimal places? -0.0000016 Let w = -1856 + 2795. Round w to the nearest 100. 900 Suppose 109*n = 115*n - 218400. What is n rounded to the nearest 1000? 36000 Suppose -9 = -4*x - 3*p - 4, -x + p = 4. Let l be x/(-2) + (-37240002)/4. What is l rounded to the nearest one million? -9000000 Suppose -q - 2*q + 68 = 5*t, -4*q + t = -106. Let c be (-7995)/q*8/6. What is c rounded to the nearest one hundred? -400 Let z be (-1*1)/(8/4760). Suppose -i - 2465 = 5*o, 2*i + 12269 = -3*i + 3*o. Let t = z - i. What is t rounded to the nearest one hundred? 1900 Let a(f) = -f**3 + 6*f**2 + 2*f - 9. Let r be a(6). Let l(s) = 13*s**2 - 3*s + 2. Let h be l(r). Round h to the nearest one hundred. 100 Let i = -2282.0001637 - -2282. What is i rounded to five decimal places? -0.00016 Let j = 4.1 - 4.09999844. Round j to 7 dps. 0.0000016 Let f(m) = 12605*m**2 - 8*m - 2. Let z be f(-6). Suppose 4*o - t + 904701 = 0, o + t = 6*t - 226199. Let u = o - z. Round u to the nearest 100000. -700000 Let k = 2683.59 + -2655. What is k rounded to the nearest ten? 30 Let p = 12 - 6. Let m = 8 - p. Suppose m*r = -r - 19500. Round r to the nearest 1000. -7000 Let q = 38143 - 21858. Round q to the nearest 100. 16300 Let l = -49489 + 49489.27969. Let i = l + -0.04974. Let t = i - 0.23. What is t rounded to five dps? -0.00005 Let x = 169 - 121. Let y = x + -47.9908. What is y rounded to 3 dps? 0.009 Let c = -809.000002369 + 809. Round c to 6 decimal places. -0.000002 Let d = 7564801 - -9465199. Round d to the nearest 1000000. 17000000 Suppose -133*o + 243650 = -138*o. What is o rounded to the nearest one thousand? -49000 Let q = 0.5938218 - 0.5927. Round q to five decimal places. 0.00112 Let z be 200/(-2 - 273/(-135)). Let d be -39*(24/(-9) + 3). Let j be (-9600)/((52/z)/d). Round j to the nearest one million. 22000000 Let p = -826.5102 + 819.35. Let f = -7.1651967 - p. Let t = f - -0.005. What is t rounded to six decimal places? 0.000003 Let d = -15.7 + -2.1. Let h = d - 1.2. Let p = h + 19.000004. What is p rounded to 6 decimal places? 0.000004 Let x = -2.96 + -1.2. Let w = x - -8.89. Round w to the nearest integer. 5 Let r = -68 + -93. Let u = r + 161.0166. What is u rounded to three decimal places? 0.017 Let y = 7884974 + -4234974. Su
{ "pile_set_name": "DM Mathematics" }
- 2 = 0, -4*b - 3*t = b - 18. Suppose -s + 220 = 5*w - 0*s, b*s = -2*w + 75. Is w a multiple of 15? True Suppose -y + 505 = 4*y. Let n = y + -69. Does 23 divide n? False Suppose 4 - 8 = r. Let j = 16 + r. Suppose j = 3*s - 78. Does 11 divide s? False Let u be (-27)/(-6)*(-156)/(-9). Suppose 0*i + 5*i - 220 = 0. Let t = u - i. Is t a multiple of 17? True Let t = -7 - -39. Is 11 a factor of t? False Let a = -13 - -29. Does 16 divide a? True Suppose 2*h = -0*h - 2, -2*h = 3*u + 23. Let s(f) = 2*f**2 + 8*f - 6. Let r be s(u). Suppose x = -3*x + r. Does 7 divide x? False Let l(j) = -j**3 + 5*j**2 + 4. Let u be l(4). Let f = -13 + 33. Suppose -2*m + u = i - 20, f = 4*m. Is 15 a factor of i? True Let o(a) be the second derivative of a**4/3 - 4*a**2 + 3*a. Is o(4) a multiple of 28? True Let j be -183 + (-3 + 1 - -2). Let v be 2/(-7) + j/21. Let x = v - -20. Does 11 divide x? True Let v(a) be the second derivative of 0 - 3/2*a**2 - 5/3*a**3 - 1/20*a**5 - 2/3*a**4 + a. Is v(-7) a multiple of 9? True Is 10 a factor of -3 + 2 + 0 + 81? True Let q(b) = b**3 - b**2 + b + 19. Is q(0) a multiple of 13? False Let a be (-164)/(-14) - (-2)/7. Suppose -48 = -6*z + 66. Suppose 4*k + 0 = 4*n - a, -n + z = 3*k. Is n a multiple of 7? True Let v be (-4)/(-10) + 178/5. Suppose -84 - v = -5*f. Suppose -f = -5*i + 71. Is i a multiple of 15? False Does 37 divide 32/12*(-777)/(-14)? True Let k(o) = o**3 - 7*o**2 - 7*o - 5. Let g be k(8). Suppose 5*u + 5*i = 80, -g*u - i + 9 = -45. Is u a multiple of 6? False Let r(t) = -t**2 + 6*t - 6. Let k be r(6). Let d = k + -36. Let q = 66 + d. Is q a multiple of 12? True Let o(u) = 2*u + 1. Let f be o(2). Suppose x + r = 0, x + f*r + 35 = 3*x. Let s(b) = 2*b**2 - 7*b + 6. Is 7 a factor of s(x)? True Suppose -4*k = 4*q - 1188, 0*q + 5*q + 2*k - 1473 = 0. Suppose -4*h + 0*h + 8 = 0. Suppose h*v - 122 = -0*v + 2*a, -5*v + 2*a = -q. Is v a multiple of 20? False Let h = 73 - -1. Suppose 4*d = h + 78. Does 16 divide d? False Let l(t) = -2*t + 6. Let r be l(-7). Suppose 3*j = r + 16. Is 6 a factor of j? True Let p be 16/3 + (-8)/(-12). Let r be (-1 + (7 - 2))/(-1). Let v = r + p. Is 2 a factor of v? True Let u = 19 + -3. Suppose 5*x = -4*j + 80, -2*j + 7*j = -x + u. Does 4 divide x? True Let r be 40/(-30)*6/(-4). Let g(q) = 0*q**2 - 4*q - q**2 + q + r*q**2. Is 6 a factor of g(5)? False Let s = 11 - 7. Suppose -s*z + 15 = -41. Is z a multiple of 7? True Let q be 1*(-34)/(-6)*-3. Let v = -6 - q. Suppose -4*f + 39 = 4*x + v, 5*f = 5*x + 15. Is f even? False Let f(o) = -o**2 - 19*o + 20. Let b be f(-16). Let k be 1*(-1 + -45)*-1. Suppose i = -3*t + b, t + i - k = -t. Is 9 a factor of t? False Suppose 246 = 3*d + 2*d - y, 2*d - y - 96 = 0. Suppose -5*z + 2*a + 266 = 0, -3*z + 5*a + d = -102. Is z a multiple of 18? True Let l = -11 + 133. Suppose 2*q = -2*m + l, 2*m + 48 = -4*q + 284. Is q a multiple of 22? False Let r(z) = -12*z**2 - 7*z + 9. Let a(k) = k**2 + k - 1. Let j(n) = -22*a(n) - 2*r(n). Does 14 divide j(6)? True Suppose -4*d = -8*d + 64. Suppose 0 = 4*l - 0*l - d. Suppose 0 = l*o + 51 - 163. Does 15 divide o? False Let n(i) be the second derivative of i**3/3 + 3*i**2 + 2*i. Does 14 divide n(6)? False Is 657*(-4)/9*51/(-34) a multiple of 41? False Let j(f) = 3 - 2*f - 2*f - 1 + 3*f. Let o be j(-3). Suppose o*x = 41 + 39. Does 8 divide x? True Let p = -218 - -319. Does 8 divide p? False Let x = 15 - 10. Suppose -x*j - 4*o + o - 80 = 0, 0 = -4*o. Let k = j - -34. Does 13 divide k? False Let f be 2/(-4) + 271/2. Suppose -b + 5*i = -55, 2*i - f = -5*b - i. Is b a multiple of 15? True Suppose -2*k - 3*k - 25 = 0. Let y(z) = -z**3 - 3*z**2 + 2*z + 2. Is 15 a factor of y(k)? False Let b = 5 - 1. Suppose -131 - 60 = b*f - 5*q, 0 = -5*f - 3*q - 248. Let r = -25 - f. Is 12 a factor of r? True Let b(v) = 3*v**2 - v - 15. Is 26 a factor of b(7)? False Let i = -91 - -161. Is i a multiple of 14? True Suppose -546 = -90*s + 88*s. Does 21 divide s? True Let d be ((-1)/2)/(2/(-12)). Suppose 2*m + 3*m = t - 92, -d*t - 2*m + 259 = 0. Does 26 divide t? False Let j = -141 + 231. Is j a multiple of 30? True Let g(d) = 3*d - 13. Is 3 a factor of g(9)? False Suppose -38 = -z + 36. Let q = 108 - z. Is q a multiple of 10? False Let a = 1 - -2. Suppose -5*s = -5*d - 50, 2*d = a*s - 7 - 11. Is 1 + (2 - 0 - d) a multiple of 14? False Suppose 10*d - 5*d + 270 = 0. Is (2/6)/((-3)/d) a multiple of 6? True Let b(g) be the third derivative of -g**6/120 + g**5/15 + g**4/4 + g**3/6 - 2*g**2. Let s be b(5). Does 8 divide 4/s - (-34)/3? False Suppose -8 = -2*h, -2*h + 47 + 13 = 4*r. Let s be (-6)/39 - (-2)/r. Let i(c) = c**3 + c**2 + c + 31. Is i(s) a multiple of 13? False Suppose u = 6*u + 20, t - 2*u = 50. Is t a multiple of 18? False Let h be (18/(-15))/((-6)/40). Does 16 divide (h*3)/((-12)/(-16))? True Let x(i) = 7*i**2 - 12*i - 11. Let z(p) = -3*p**2 + 6*p + 5. Let c(q) = 2*x(q) + 5*z(q). Is c(4) a multiple of 4? False Suppose 0 = 4*c + 2*l - 0*l - 132, -c + 30 = -l. Is 16 a factor of c? True Let x = 0 + -1. Is 8/4 + x + 15 a multiple of 4? True Is 34 a factor of (-2842)/(-22) + 44/(-242)? False Let r = 6 + 0. Suppose -r*b = -b - 135. Is b a multiple of 10? False Let g = 44 + -3. Is g a multiple of 8? False Suppose 10*x = 5*x - 15. Let j(a) = 2*a**2 - 4*a + 1. Let b be j(x). Let w = -19 + b. Does 7 divide w? False Suppose -c + 3 = 0, -44 = 2*k + 2*c + 60. Let g = k - -30. Let f = g - -38. Is f a multiple of 6? False Suppose -w = c - 1 + 6, -5*w + 3*c - 9 = 0. Is (2 + w)/(1/(-84)) a multiple of 22? False Let c(p) = -160*p - 7. Is c(-1) a multiple of 32? False Let c = 29 - -86. Suppose -5 = 3*o + c. Let n = o + 57. Does 7 divide n? False Let h = -22 - -38. Let b = -11 + h. Is b a multiple of 2? False Suppose -3*n + 3*o + 51 = 0, 5*n - 4*o + 9*o - 135 = 0. Is n a multiple of 11? True Let i(u) = u**3 - 9*u**2 + 12*u - 12. Does 14 divide i(8)? False Suppose 4*p + 6*j = j + 122, 93 = 3*p + 3*j. Is p a multiple of 12? False Suppose 0 = -2*f + 78 - 2. Is 21 a factor of f? False Let p be (11/((-44)/24))/2. Is 3 a factor of (-33)/(-5) - p/(-5)? True Is 5 a factor of (-6)/(3 + (-60)/16)? False Suppose -2*a - a + 4*m - 81 = 0, -m - 20 = a. Does 7 divide (6 - 2)/4 - a? False Suppose -3 = -5*i + 2*i. Let p = i + 7. Does 8 divide p? True Let w(i) = 77*i. Does 31 divide w(2)? False Suppose 4*o = 3*g - 193, 0 = 5*g - 3*g - o - 132. Is g a multiple of 11? False Suppose -117*b + 1015 = -112*b. Does 29 divide b? True Let u = -51 + 79. Is 11 a factor of u? False Let z = 3 - -9. Let x be 478/z - 1/(-6). Does 13 divide x*(0 + (-3)/(-4))? False Suppose -o + 3*r + 51 = 0, 4*r = -2*o + 5*o - 158. Let i = 142 - o. Is i a multiple of 27? False Suppose 0 = 4*l + 6 + 6. Let j = -2 - -3. Is 10 a factor of j + (2 + l)*-9? True Let i be (0/(0 + 2))/1. Suppose -2*q + 40 = -i*q. Does 10 divide q? True Let k = 161 - 45. Is k a multiple of 12? False Let p(j) = 4*j - 10. Let u = -5 + 15. Is 30 a factor of p(u)? True Suppose 4*d - 3*z = 273 + 58, 407 = 5*d + 3*z. Is d a multiple of 12? False Let q = 15 + -7. Let n(c) = c**3 - 7*c**2 - 5*c - 8. Is 7 a factor of n(q)? False Let i = -209 - -426. Is 34 a factor of i? False Suppose -5*q + 20 = 65. Let s = 13 + q. Suppose -198 + 70 = -s*g. Is g a multiple of 16? True Let g(h) = -9*h + 9. Let l(r) = -r - 7. Let i be l(0). Let f be g(i). Let j = 112 - f. Is j a multiple of 20? True Let b = -64 - -39. Let p = b - -35. Suppose -p = -2*u + 4*q + 12, -1 = q. Is 8 a factor of u? False Let v = -126 - -206. Does 8 divide v? True Let a = 3 - 0. Suppose -6*k = -a*k - 18. Is k a multiple of 4? False Suppose -5*l + 10 = -10. Suppose 5*j - l*j = 27. Is 7 a factor of j? False Let a(v) = v + v**2 + 6*v + 10 + 2. Is a(-8) a multiple of 10? True Let q(j) = -j**3 - 5*j**2 - 5*j - 1. Let d be q(-4). Suppose d*m + 0*u - 3*u = 99, -2*u = 5*m - 144. Does 10 divide m? True Is (2*4/(-10))/(3/(-480)) a multiple of 32? True Let w = 31 + 90. Is w a multiple of 37? False Suppose 4*i - 3*h = -3, -4 - 1 = 5*i - 5*h. Suppose i = -2*z + 9 + 5. Does 3 divide z? False Let j = 13 + 72. Suppose 0 = -x - 2*c + 4 + 25, 0 = 5*x - 2*c - j. Is x a multiple of 19? True Let n(w) be the first derivative of -2*w**3 - 2*w**2 + 2*w - 3. Let o(u) be the first derivative of n(u). Is 22 a factor of o(-4)? T
{ "pile_set_name": "DM Mathematics" }
m(-7). Let c = -17 + 37. Suppose c = 3*x + x. Put w, -5, x, 2 in increasing order. -5, w, 2, x Let v be (-2)/(-16) + 3117/24. Let j = 127 - v. Sort 23, j, 2 in ascending order. j, 2, 23 Let k = -24.08795 - -0.08795. Put 3/5, 1/9, -5, k, 1.1 in increasing order. k, -5, 1/9, 3/5, 1.1 Let s = 4.96 - -0.04. Let u be 3/6*6 - -1. Let d = -5647 + 5647. Put d, u, 2, s in descending order. s, u, 2, d Let o = -206 - -260. Suppose -42*c + o = -36*c. Put -1, c, 5 in descending order. c, 5, -1 Let r = -4435 + 4459. Put 13, -4, r in descending order. r, 13, -4 Let c = -23538 + 23538.1. Sort -0.1, -5, 2/83, c, -2/15. -5, -2/15, -0.1, 2/83, c Let g be 5 + ((-18)/(-4))/((-16)/32). Sort g, -5, -1, 5. -5, g, -1, 5 Let p(j) = 9*j**2 - 1315*j - 1138. Let r be p(147). Let o = -0.03 + 0.23. Sort r, 5, o, -2/5 in decreasing order. r, 5, o, -2/5 Let o(i) = 2*i + 10. Let b be o(-7). Suppose 2091*s = 1897*s + 582. Sort b, -3, s, 53 in decreasing order. 53, s, -3, b Suppose -3*h + 4*h + 2*v + 18 = 0, 0 = -2*v - 8. Let r(b) = -b**2 - 11*b - 12. Let g be r(h). Let m = -3492 + 13969/4. Sort g, m, 2/25 in ascending order. g, 2/25, m Let y = 225.1 - 225.16. Sort 3/4, 0, 26/3, y in decreasing order. 26/3, 3/4, 0, y Suppose 153*y + 576 = 169*y. Let r(n) = n**3 - 36*n**2 - 4*n + 149. Let v be r(y). Let g = 7 + -3. Put -5, g, v in ascending order. -5, g, v Suppose 3*i + 23*q - 20*q = -18, 2*i = -3*q - 6. Put i, 0, 83 in descending order. 83, 0, i Suppose 47*f = 85*f + 190. Sort -4, -34, f in descending order. -4, f, -34 Suppose -43*d - 2*d + 774 - 549 = 0. Sort d, -3, -0.3, -1/30, 0 in ascending order. -3, -0.3, -1/30, 0, d Let l = -2559 + 2559. Put -5, -16, -3, l in ascending order. -16, -5, -3, l Let y(q) = 3*q - 3. Let k be y(3). Let g(j) = -2 - 5 + j**3 - 3*j + 1 + k*j**2 - 2*j**3. Let i be g(5). Put i, 1, 5 in decreasing order. 5, i, 1 Let k = 238.13 - 237. Let q = k + -1.2. Sort 0, q, 5. q, 0, 5 Let k = -1.179 + 0.179. Let w be -34 - -28 - (43/(-7) + -1). Put k, 1, w in descending order. w, 1, k Let i = -1360 + 1359. Sort -212, -2, i in ascending order. -212, -2, i Let z = 31512 + -31515. Let j = 2.2 + -2. Put 3, 0.5, j, z in decreasing order. 3, 0.5, j, z Suppose 229*b = 214*b + 90. Sort b, 0.08, 1/2, -5 in ascending order. -5, 0.08, 1/2, b Let o = -204550/91 - -348812168/155155. Let d = -2/155 - o. Sort 1/4, d, -1/3. d, -1/3, 1/4 Let h(s) = 333*s - 667. Let o be h(2). Put 115, o, 0, 3 in decreasing order. 115, 3, 0, o Suppose -21*d + 21*d + 66 = 33*d. Sort -1, -3, -5, -73, d in descending order. d, -1, -3, -5, -73 Let u = 1.9383 - 271.9383. Sort -4, 2/9, 1/4, u in decreasing order. 1/4, 2/9, -4, u Suppose 4*t + 3*i - 16 = 2*i, 0 = 5*i. Let o be -1 + 175/10 + t. Let r = -21 + o. Sort -1/4, 1/6, r. r, -1/4, 1/6 Suppose 3517 = 41*u - 10*u - 792. Put 8, -3, u in descending order. u, 8, -3 Suppose 7*r = 3*r + 4. Let l = -1390 + 1386. Sort -6, r, -3, l. -6, l, -3, r Let b(s) = 3*s**3 - 36*s**2 + 2*s - 21. Let c be b(12). Put -5, 485, c in descending order. 485, c, -5 Let c = -0.5 + 0.3. Suppose -1048 = -26*z + 22*z. Let v = -260 + z. Put v, c, 1 in decreasing order. v, 1, c Let n = -857.55 + 857.7. Sort n, -202, 1/5. -202, n, 1/5 Suppose 4*c + 8 = 4*y, -3*y + 7*c + 4 = 3*c. Let j be ((-18)/(-24))/(4/64). Suppose 1 - 10 = 3*q. Put y, j, q in decreasing order. j, y, q Let w = 82 - 84. Let t = -4903/9 + 545. Put t, w, -1/7, -1 in descending order. t, -1/7, -1, w Suppose -k = -b + 20, 2*k + 3*k = b - 40. Suppose -3*f + b = -6. Suppose f - 52 = -5*x + 5*v, -4*x - 5*v = 9. Sort x, -2, 2, -3 in decreasing order. x, 2, -2, -3 Let h = -186.612 - -100.933. Let i = -83.6 - h. Let u = i - 0.079. Sort -4, u, -3, 2/15 in ascending order. -4, -3, 2/15, u Let f = -1610 + 1076. Let g = f - -533.5. Put 1.2, 0.2, -3, g in decreasing order. 1.2, 0.2, g, -3 Let g = 17.29 + -7.8. Let r = g + -9. Sort 2/9, -5, r in decreasing order. r, 2/9, -5 Let a(u) = -14 - 2*u**2 + 4*u + 6*u + 8*u + u**2. Let z be a(17). Suppose -2*h - z = -h. Sort -4, h, -1. -4, h, -1 Let p = 147192/7 + -21078. Let d = p + 51. Put 0.03, -3, 0.4, d in descending order. d, 0.4, 0.03, -3 Let n be (-1)/((-1)/(-9)*21/21). Put -5, 7, n, 5 in increasing order. n, -5, 5, 7 Let h = 71.05 - 71.25. Sort 5, 0.057, h in increasing order. h, 0.057, 5 Let s(y) = -77*y**2 - 262*y + 7. Let v be s(-4). Put 1, -4, -2, v in increasing order. v, -4, -2, 1 Let y(a) = -a**2 + 36*a + 841. Let h be y(-16). Let w be 3 + (-6 - -2 - -2). Put w, 0, 4, h in descending order. h, 4, w, 0 Let v = -151456 + 151454. Let j(z) = -z**3 - z + 5. Let s be j(0). Sort -10, s, v, 0 in decreasing order. s, 0, v, -10 Let b be 42/98 + 3/(-7) + 24/20. Put 4, b, -3/5, 4/7, -1 in descending order. 4, b, 4/7, -3/5, -1 Let r = -723.4 + 390.4. Sort -5, 1/4, 5, 0.1, r. r, -5, 0.1, 1/4, 5 Let f = 8896 - 8813.028. Let v = -83 + f. Sort 3, -5/2, v. -5/2, v, 3 Let k(n) = 2*n**3 + 19*n**2 - 8*n + 17. Let r be k(-10). Suppose 0 = -4*g - 4, -5*g + 7 = -3*f - 0*g. Sort f, 2, r in ascending order. f, r, 2 Let t = -706 + 589. Suppose -4*s - 2*o + 2 = 0, o - 20 = -15. Sort t, -4, s in increasing order. t, -4, s Let c = 0.384 - 0.084. Let l = -2.7 - c. Put l, 3/5, 4/3 in decreasing order. 4/3, 3/5, l Let n be 18/((54/12)/3). Let m = n - 15. Put 2, 3, m in descending order. 3, 2, m Let o be (-2)/2*(-1 + 1). Suppose -3*s + 5*f - 30 = 0, -5*s = -o*f - 2*f + 31. Let v(x) = 7*x**2 - 5*x - 13. Let h be v(2). Sort s, h, 3 in decreasing order. h, 3, s Let v = -1088 + 1307. Sort 1/3, v, 5/3 in decreasing order. v, 5/3, 1/3 Let s(c) = 10 + 9 + 4 - c - c**3 - 14 + 14*c**2. Let w be s(14). Put w, 6, 1 in increasing order. w, 1, 6 Let o = 1 + -1. Suppose -3*k - 251 = -4*u, -2*u = -k - 143 + 16. Let v = u + -70. Sort v, o, 1, 5 in increasing order. v, o, 1, 5 Let h be (-1)/(-5)*1280/128. Let m be 4/(-6)*6/(-4). Sort 8, m, h in descending order. 8, h, m Suppose -22920*w + 22882*w + 608 = 0. Let j = -21 + 39. Sort w, j, 1. 1, w, j Let n(s) = -s**3 + 6*s**2 - 8*s + 13. Let g be n(5). Let a be (g + (-14)/3)/(2/3). Sort -3, a, 2 in increasing order. a, -3, 2 Suppose -n + 1 = -4*n - 5*b, 2*n = -2*b + 2. Let l be n - 76/28 - 17/35. Sort 0.2, -2/3, 8, l. -2/3, l, 0.2, 8 Let q be -4 + 1 - (-29)/9. Let f = -11.7 - 59.3. Let m = -76 - f. Sort m, q, 1 in ascending order. m, q, 1 Let v(t) = -22*t - 205. Let u be v(-10). Suppose 0 = i + y, 0 = -5*i - 3*y - 11 + u. Sort 0.27, 1/2, -2, i. -2, 0.27, 1/2, i Let f = 2.89 + 0.01. Let i = f - 0.5. Suppose 723 - 743 = -5*x. Put i, x, 0.5 in descending order. x, i, 0.5 Let m be 6 + 8/(-1) + (2 - 4). Let g = m + 10. Sort 1, g, 5 in decreasing order. g, 5, 1 Let l be (-22)/84 - 270/(-630) - 55/6. Put -1, l, 4 in increasing order. l, -1, 4 Let z(r) be the first derivative of -r**4/4 + 13*r**3/3 - 33*r**2/2 + 26*r + 80. Let h be z(10). Sort -1, -15, 1, h in decreasing order. 1, -1, h, -15 Let b(u) = u**3 + 3*u**2 - 12*u - 30. Let g be b(-3). Let a(f) = 2*f**3 - 12*f**2 - f + 2. Let z be a(g). Sort z, 0, -8 in decreasing order. 0, z, -8 Let f = -549 + 548.9. Let a = 2 - -2. Sort a, 13, 1, f. f, 1, a, 13 Let j = -156/79 + 389/237. Sort -5, -4/3, j, 0.2, 68 in increasing order. -5, -4/3, j, 0.2, 68 Let v be ((-846)/(-3948))/((-10)/(-70)). Let k = 0.3 - 0.2. Suppose 2*u - 1 = -5*o + 4, 26 = 2*o - 4*u. Put k, v, o, -4 in decreasing order. o, v, k, -4 Suppose -19 = -5*n - a + 8, -5*a = 4*n - 51. Put n, 45, -51 in descending order. 45, n, -51 Let y = 1468 + -1472. Sort y, 100, -2, -1. y, -2, -1, 100 Let x = -13310 - -13484. Sort 0, -14, x. -14, 0, x Let l = -4640 + 4635. Put -386, -3, l in decreasing order. -3, l, -386 Let h = 133.2 + -137.2. Put 14, -74, h in descending order. 14, h, -74 Suppose -3*z - 76 = -2*z. Let y be 66/27*(-29 - 4) - -4. Let u = z - y. Sort u, -1, 0.4 in increasing order. -1, 0.4, u Let n = 168 + -101. Let g(z) = -2*z**3 + 35*z**2 - 14*z - 47. Let o be g(17). Put o, n, 0.1 in descending order. n, o, 0.1 Let h = -1049/2 - -523. Put h, -2, -4, 16 in descending order. 16, h, -2, -4 Suppose -16 = -g - 4*l, -16 - 4 = 5*g - 5*l. Let j be (690/50)/((-7)/(-35)). Sort 2, g, -2, j in ascending order. -2, g, 2, j Let g be (-174)/609*(-3)/3. Sort -2, 3, -271, -0.5, g in descending order. 3, g, -0.5, -2, -271 Suppose -3*z = y - 21, 3*y - 5*z + 15 = 92. Let a be (-39)/y + (
{ "pile_set_name": "DM Mathematics" }
- u**5/390 + u**4/156 + u**3/39 - 10*u**2. Solve x(m) = 0 for m. -1, 1 Let j(w) = -w**2 - 7*w - 4. Suppose 0 = 3*k + 10 + 8. Let s be j(k). Solve -5*a**2 - s*a + 0*a**3 + a**2 - 2*a**3 = 0. -1, 0 Let q = -20675 + 1860769/90. Let v(o) be the second derivative of 1/27*o**3 - 5/18*o**4 - o + q*o**5 + 0 + 2/9*o**2 - 7/135*o**6. Suppose v(s) = 0. What is s? -2/7, 1 Let d(y) = -y**3 + 12*y**2 + 15*y - 14. Let n be d(13). Factor -3*j**2 + 0 + 4*j**4 - 12*j + 7*j**2 + n*j**3 - 8. 4*(j - 1)*(j + 1)**2*(j + 2) Let f(r) be the first derivative of r**6/2 + 9*r**5/5 + 3*r**4/2 + 8. Determine q so that f(q) = 0. -2, -1, 0 Let n(b) be the first derivative of 2/3*b**4 + 2/3*b**2 + 0*b - 2/15*b**5 - 2 - 10/9*b**3. Solve n(l) = 0 for l. 0, 1, 2 Suppose -3*p**3 - 89*p**4 + 4*p**5 + 86*p**4 - p**5 + 3*p**2 = 0. Calculate p. -1, 0, 1 Let i(d) = -d + 1. Let u(o) = -o**3 + 5*o**2 - o + 2. Let n(j) = 4*i(j) + u(j). Let f be n(4). Factor -a - 2*a**f + 2*a**2 - 2 + a**2. (a - 2)*(a + 1) Let k = -7 + 9. Let c be (-4 + 1 + 4)*k. Factor -2/3 - 4/3*i**3 - 1/3*i**5 - 2/3*i**c + 5/3*i + 4/3*i**4. -(i - 2)*(i - 1)**3*(i + 1)/3 Let l be -2 + 3 - (-3)/3. Let y(i) = -i**3 - 3*i**2 + 2. Let u be y(-3). Let -3*n**4 - 3*n**3 + 7*n**u + 0*n**4 - n**l = 0. Calculate n. -2, 0, 1 Let w(k) be the third derivative of k**7/16380 - k**6/1560 + k**5/390 - 5*k**4/24 - 3*k**2. Let g(f) be the second derivative of w(f). Factor g(b). 2*(b - 2)*(b - 1)/13 Factor 2/3*q**5 + 0*q + 0 - 10/3*q**4 - 2*q**2 + 14/3*q**3. 2*q**2*(q - 3)*(q - 1)**2/3 Let p(z) = -z**3 - 8*z**2 + 2*z + 16. Let v be p(-8). Determine k, given that 2/3*k**5 + v + 0*k**3 - 2/3*k**4 + 0*k + 0*k**2 = 0. 0, 1 Let q(t) be the second derivative of t**5/20 + 7*t**4/12 - 17*t**3/6 + 9*t**2/2 + 2*t - 3. Solve q(o) = 0. -9, 1 Let i(r) be the first derivative of -4*r**3 + 10*r**2 + 8*r + 8. Factor i(u). -4*(u - 2)*(3*u + 1) Suppose u = 4*a - 32, 4*a - u - 52 = -5*u. Let o be 2/a - 38/(-72). Factor 0*v - 3/4*v**4 - 1/4*v**2 - o*v**3 + 0 - 1/4*v**5. -v**2*(v + 1)**3/4 Let j(g) be the second derivative of 3*g**7/280 + g**6/12 + 9*g**5/40 + g**4/4 - 2*g**3/3 + 5*g. Let b(a) be the second derivative of j(a). Factor b(u). 3*(u + 1)*(u + 2)*(3*u + 1) Let p(f) = -f**3 - 6*f**2 + 4*f + 4. Let q be p(-5). Let x = q - -124/3. Factor 0 - x*v**3 + 1/3*v**2 + 0*v. -v**2*(v - 1)/3 Let y(a) be the first derivative of 4 + 2*a**2 - 2*a**3 - 2/3*a. Solve y(s) = 0 for s. 1/3 What is w in 4/7*w**2 + 0 - 4/7*w = 0? 0, 1 Let l = 18 + -14. Factor 2/5*f - 4/5*f**2 + 2/5*f**5 + 2/5 - 4/5*f**3 + 2/5*f**l. 2*(f - 1)**2*(f + 1)**3/5 Let g = -9 - -11. Suppose 0 = -s + 3 + 1, -4*s = -g*o - 12. Factor -o*k - 4/5 - 8/5*k**2 - 2/5*k**3. -2*(k + 1)**2*(k + 2)/5 Suppose -4*v + k + 2 = -1, -2*v = -k - 1. Let r(m) be the first derivative of 0*m + v + 0*m**2 - 2/3*m**3. Factor r(i). -2*i**2 Let a = 31/30 - 8/15. Factor -a + k - 1/2*k**2. -(k - 1)**2/2 Let u(g) = -10*g - 60. Let x be u(-6). Factor 0*v + 1/6*v**2 - 1/6*v**5 + x + 1/6*v**3 - 1/6*v**4. -v**2*(v - 1)*(v + 1)**2/6 Let k(b) be the third derivative of -b**6/1080 - b**5/90 - b**4/18 + 4*b**3/3 - 5*b**2. Let f(a) be the first derivative of k(a). Let f(w) = 0. Calculate w. -2 Factor 8/11*x + 8/11*x**2 + 2/11*x**3 + 0. 2*x*(x + 2)**2/11 Let w = -17/45 - -3/5. Factor -2/9*d - 8/9*d**4 + 0 - 8/9*d**2 - w*d**5 - 4/3*d**3. -2*d*(d + 1)**4/9 Let i(g) be the second derivative of g**7/42 - g**6/10 + g**5/10 + g**4/6 - g**3/2 + g**2/2 + 4*g. Factor i(q). (q - 1)**4*(q + 1) Factor -2/17*o**3 - 30/17*o + 14/17*o**2 + 18/17. -2*(o - 3)**2*(o - 1)/17 Factor -1/3*g**2 + g - 2/3. -(g - 2)*(g - 1)/3 Let c(g) = -g - 4 - 3*g + g**3 + 2*g + 0 - 5*g**2. Let f(o) = -2*o**3 + 11*o**2 + 4*o + 9. Let a(q) = -9*c(q) - 4*f(q). Factor a(s). -s*(s - 2)*(s + 1) Let b = -33 + 35. Factor -6/5 + 9/5*w**4 + 21/5*w**3 + 9/5*w**b - 9/5*w. 3*(w + 1)**3*(3*w - 2)/5 Factor -3*a**2 - 11 - 4 + 15 + 2*a + a**3. a*(a - 2)*(a - 1) Let n(g) be the second derivative of -g**5/4 - 5*g**4/6 + 20*g**3/3 - g - 20. Solve n(i) = 0. -4, 0, 2 Find j, given that -2/3*j**2 + 0 + 0*j - 1/3*j**3 = 0. -2, 0 Let m(s) be the first derivative of 4 + 1/30*s**3 + 0*s**2 - 3*s - 1/100*s**5 + 0*s**4. Let d(j) be the first derivative of m(j). Let d(p) = 0. Calculate p. -1, 0, 1 Let p be (-31)/(-9) - (2 + 7 - 6). Let g = 62/225 + -4/75. Find y such that -2/9*y**4 + 0 - g*y**3 + p*y**2 + 0*y = 0. -2, 0, 1 Factor 2/7*s**2 - 8/7 + 32/21*s. 2*(s + 6)*(3*s - 2)/21 Factor 4/3 + 16/3*z**2 + 2/3*z**5 - 4/3*z**3 - 14/3*z - 4/3*z**4. 2*(z - 1)**4*(z + 2)/3 Suppose 3*f = z + 5, 7*z - 6 = 3*z - f. Let p(i) = 2*i**3 - 7*i + 5. Let w(g) = g - 1. Let a be (-132)/(-28) - (-2)/7. Let x(d) = a*w(d) + z*p(d). Factor x(h). 2*h*(h - 1)*(h + 1) Suppose 2*j = j + 7. Suppose 3*w = j*w. Factor 0 - 1/4*l**4 + 0*l**3 + 1/4*l**2 + w*l. -l**2*(l - 1)*(l + 1)/4 Let u(h) = h**3 - h**2 - h. Let f(l) = 338*l**3 + 446*l**2 + 194*l + 27. Let w(o) = f(o) + 5*u(o). Suppose w(y) = 0. Calculate y. -3/7 Let y(z) be the third derivative of -z**6/540 - z**5/60 - z**4/18 + 4*z**3/3 - z**2. Let k(s) be the first derivative of y(s). Determine a so that k(a) = 0. -2, -1 Let z be -3 - (1 - 2) - -2. Let c(g) be the third derivative of 1/120*g**6 - 1/12*g**3 - 1/24*g**4 + 0*g + z + 1/120*g**5 + 2*g**2. Solve c(q) = 0 for q. -1, -1/2, 1 Let l(x) be the third derivative of x**5/12 - 5*x**4/6 + 10*x**3/3 - 15*x**2. Let l(k) = 0. Calculate k. 2 Let j be 0/((-4)/1*-1). Factor -1/3*o**2 + 1/3*o**4 + 0*o - 1/3*o**3 + 1/3*o**5 + j. o**2*(o - 1)*(o + 1)**2/3 Let j(b) be the third derivative of 0*b**3 + 0*b + 0 + 1/270*b**5 - 1/36*b**4 + 7*b**2. Factor j(o). 2*o*(o - 3)/9 Let f be 9/360*1/2. Let g(k) be the third derivative of 0*k + 0*k**3 + 1/96*k**4 - k**2 + 1/840*k**7 + f*k**5 + 1/160*k**6 + 0. Let g(h) = 0. What is h? -1, 0 Factor 1/3*z**4 + 0*z + 0 + 1/3*z**5 - 1/3*z**3 - 1/3*z**2. z**2*(z - 1)*(z + 1)**2/3 Determine n so that 0 + 6/5*n**3 - 2/5*n + 4/5*n**2 = 0. -1, 0, 1/3 Let z(g) = -4*g**3 + 12*g**2 - 3*g + 5. Let h(n) = -2*n**3 + 6*n**2 - 2*n + 2. Let m(w) = -5*h(w) + 2*z(w). Let m(d) = 0. Calculate d. 0, 1, 2 Let u be -1 + -2*7/(-10). Let l = -1160 + 1162. Factor u + 2/5*y**l + 4/5*y. 2*(y + 1)**2/5 Let w(g) be the third derivative of -g**7/315 + g**6/180 + g**5/45 + 30*g**2. Factor w(b). -2*b**2*(b - 2)*(b + 1)/3 Let -3*v**3 + 2/3*v**2 + 0*v + 7/3*v**4 + 0 = 0. What is v? 0, 2/7, 1 Factor 38*q - 16 - 26*q**2 - 74*q**2 + 42*q + 0*q**2. -4*(5*q - 2)**2 Let s(x) be the first derivative of -x**2 + 1/6*x**4 - 1/3*x**3 + 2*x + 1/10*x**5 + 1. Let i(v) be the first derivative of s(v). Find d, given that i(d) = 0. -1, 1 Let i = -153 - -155. Let c(z) be the second derivative of 0*z**2 + i*z + 0 - 1/2*z**3 + 1/12*z**4. Factor c(r). r*(r - 3) Let i(m) be the third derivative of m**7/150 + 23*m**6/600 + m**5/50 - m**2. Factor i(l). l**2*(l + 3)*(7*l + 2)/5 Let k = -27 + 83/3. Solve k*q**4 - 2/3*q + 2/3*q**3 - 2/3*q**2 + 0 = 0. -1, 0, 1 Let v(h) be the first derivative of 3/2*h**4 - 1 - 15/2*h**2 + 3/2*h**6 + 3*h + 6*h**3 - 21/5*h**5. Solve v(a) = 0. -1, 1/3, 1 Let h(c) be the second derivative of c**6/720 - c**5/120 + c**4/48 + c**3/6 - 3*c. Let f(s) be the second derivative of h(s). Let f(i) = 0. Calculate i. 1 Let b(o) be the second derivative of -o**7/280 + o**6/30 - o**5/8 + o**4/4 - 5*o**3/6 + 5*o. Let a(m) be the second derivative of b(m). Factor a(l). -3*(l - 2)*(l - 1)**2 Let u(w) = w**3 + w**2 - 7*w + 5. Let g be u(2). Let s(v) be the second derivative of 0 + 0*v**2 - 3*v - 1/50*v**5 - 1/30*v**4 + 0*v**g. Factor s(k). -2*k**2*(k + 1)/5 Factor 3*u - 2 + 8 + 3*u**2 - 3 - 3*u**3 - 6*u**2. -3*(u - 1)*(u + 1)**2 Suppose 0 = 11*q - 36 + 3. Factor 14/5*s**4 + 6/5*s**2 - 24/5*s**q + 0 + 4/5*s. 2*s*(s - 1)**2*(7*s + 2)/5 Let o(w) be the third derivative of -5*w**7/2268 - w**6/162 - w**5/135 - w**4/12 - w**2. Let t(f) be the second derivative of o(f). Find j, given that t(j) = 0. -2/5 Let p(a) be the second derivative of -a**4/42 + 2*a**3/21 + 3*a**2/7 - 26*a - 2. Let p(j) = 0. Calculate j. -1, 3 What is i in 0 + 0*i + 3/8*i**2 = 0? 0 Let w be (-126)/(-28)*(-4)/(-6). Factor 1/3*h**w + 1/3 - 1/3*h**2 - 1/3*h. (h - 1)**2*(h + 1)/3 Let 3*o**3 + o**2 + 3*o**2 - 6*o**2 - 7*o**2 + 12 = 0. Calculate o. -1, 2 Let a(m) = -6*m**4 - m**3 - 2*m**2 + m -
{ "pile_set_name": "DM Mathematics" }
What is the common denominator of (-18 + 0)*(-36)/(-80) and ((-2)/(-12) + 0)/(2/(-38))? 30 Let w(y) = 3*y - 2. Suppose -5*t - 26 = -3*o, 0 = -4*o + t + 16 - 4. Calculate the smallest common multiple of ((-8)/(-10))/((-2)/(-50)) and w(o). 20 Let z = 10 + -15. Let h be -6*(z/2)/(-5). Let v(g) = -g**3 - 3*g**2 + 2. Calculate the smallest common multiple of 12 and v(h). 12 Suppose 10548 = -0*g - 3*g. Let t = -21191/6 - g. What is the common denominator of t and 55/12? 12 Let k(o) = -o**2 - 10*o + 5. Calculate the least common multiple of k(-10) and 7. 35 Let v = 111 + -97. Find the common denominator of 62/57 and v. 57 Let u = -34724 + 3125221/90. Find the common denominator of 131/18 and u. 90 Let t = -25 + -1. What is the lowest common multiple of 12 and t/(-6) + 2/(-6)? 12 Let v = 2/1841 - 95742/9205. Calculate the common denominator of 5/7 and v. 35 Find the common denominator of 18/7 and 16/3*(-12)/20. 35 Let i = 7212/13 + -10291563/18551. Let h = i - 135529/17124. What is the common denominator of -1 + 118/(-4) + 1 and h? 12 What is the lowest common multiple of 1 and (9/5 - 1)*5? 4 Let v(i) = -2*i - 6. Let j be v(-5). Suppose 3 = j*r - 9. What is the lowest common multiple of r and 5? 15 Suppose -2*k = -3*c + 20, 2*c - 4*k - 32 = -2*c. Let f be (2/(-166))/((-226)/c). Let p = -909735/131306 - f. Find the common denominator of 101/6 and p. 42 Calculate the common denominator of -1 + 126/(-32) - (14 - 13) and 149/18. 144 Let h = 1 - -7. Let c be (-2758)/4164 - h/(-12). Let o = c + -12326/1735. Calculate the common denominator of o and 23/5. 10 Let u = -72/53 - -3855/848. What is the common denominator of -55/4 and u? 16 Suppose -d = -3*q - 17 - 0, -71 = -5*d + q. Calculate the smallest common multiple of 18 and d. 126 Suppose 4*v - 4 - 16 = 0. Suppose v*u - a - 14 = 0, a - 5 = -3*u + 5. What is the least common multiple of 10 and u? 30 Let o = -12725/3366 + 94/187. Find the common denominator of -37/21 and o. 126 Let d = 42 - 24. Let r = 42 + -20. Calculate the smallest common multiple of d and r. 198 Let o be 5141/20*63266/(-49). Let v = 2273163/7 + o. Let r = 7160 + v. What is the common denominator of r and 13? 10 Suppose 4*i + 2*w - 170 = 7*w, 2*w = -5*i + 196. Suppose 2*l = -5*a + 43, -l + 3*l + 4*a = i. Calculate the smallest common multiple of 16 and l. 112 Suppose 0 = -12*o + 124 + 56. Calculate the lowest common multiple of o and 18. 90 Suppose -3*h - 1 = -16. Suppose 66 = -3*f - 2*o, -2*o = f - h*o + 33. Find the common denominator of -23/4 and (-20)/f*(-2)/(-10). 12 Let s be (12/(-10))/((-6)/20). What is the smallest common multiple of s/(-24) - (-255)/18 and 18? 126 Let z = 3/11657 - -1620269/209826. Let x = -1077 + 2203/2. Find the common denominator of x and z. 18 Let y = 253303/20130 - 1/40260. Find the common denominator of (-37)/(-30) - 2/6 and y. 60 Let j = -21 - -26. Let y = 16 - 6. Calculate the lowest common multiple of y and j. 10 Calculate the least common multiple of ((-8)/(-3))/(2/12) and (-348)/(-16) + (-3)/(-12). 176 Suppose 4*f - 7 = 29. Suppose -y = -f - 2. Calculate the least common multiple of y and 10. 110 Let x be 1 + -1 - (0 + -3). Calculate the lowest common multiple of 13 - -3 - (3 - x) and 8. 16 Suppose 5 = -2*x + 3*x. Let k = 9 - -2. Calculate the lowest common multiple of k and x. 55 Let r = -432 + 472. Calculate the least common multiple of r and 0/((-2)/(-2)) - -8. 40 Let h = -2339/15 - -154. Let o(m) = m**3 + 18*m**2 - 3*m - 37. Find the common denominator of o(-18) and h. 15 What is the smallest common multiple of 9 and ((-15)/(-10))/((-6)/(-8))? 18 Let d = 1799 - 863. Let o = d + -3687/4. Find the common denominator of o and (-2)/(-11) - 1329/(-132). 4 Let n be (-6)/(-9)*6*1. Calculate the common denominator of n - 6 - (-94)/(-28) and -79/12. 84 Suppose 88 = -3*p - p. Let y(g) = g - 16. Let m be y(8). Let r = m - p. What is the least common multiple of r and 20? 140 Suppose 3*r - 10 = 2. What is the common denominator of r/(-6) - (-390)/135 and 61/9? 9 Let j = 9 + -1. Let m be (-6)/18 + 49/3 + -3. Let n = m - j. What is the least common multiple of n and 1? 5 Find the common denominator of ((36 - 5) + 0)/(0 + -12) and 13/12. 12 Suppose 3 + 12 = -p. Let m(o) = o**3 + 14*o**2 - 16*o - 10. Calculate the least common multiple of 8 and m(p). 40 Suppose d - 32 = 4*q, -30 = 5*q - 5. What is the smallest common multiple of 2 and d? 12 Let a = -3902/7 + 552. Let t = -687 - -3417/5. What is the common denominator of t and a? 35 Let r(j) = -j**3 - 6*j**2 - j - 2. Suppose 2*x = 5*x - 2*o + 12, 27 = -5*x + o. What is the lowest common multiple of r(x) and 11? 44 Suppose -2*f - f = 21. Let p(w) = -w + 1. Let q(r) = -2*r + 1. Let t(z) = -5*p(z) + 3*q(z). Calculate the lowest common multiple of t(f) and 9. 45 Let f = 53 - 37. What is the lowest common multiple of 82 and f? 656 Let u(c) = c**3 - 9*c**2 + 9*c - 2. Let b be u(8). Suppose -55 = b*h - h. Let v = 87/11 + h. What is the common denominator of v and 73/10? 110 Let p be 4/6 - (-82982)/6. Let l = p - 4357. Let x = 75691/8 - l. Calculate the common denominator of -149/12 and x. 24 Let l(w) = 4*w**2 + 7*w - 7. What is the least common multiple of 5 and l(-3)? 40 Let z be 70*(274/(-8))/1. Let w = 2352 + z. Find the common denominator of w and 178/20 + (-2 - 2) + 6. 10 Let r = -15 + 25. Let u = -4 - -14. Calculate the lowest common multiple of r and u. 10 Suppose -4*z + z = 3*r - 33, -5*z - r + 67 = 0. Calculate the common denominator of -99/2 and 2/(-7) + 501/z. 2 Let n = -8 + 2. What is the common denominator of 31/8 and (n/8)/(2/(-20))? 8 Let a(f) = f + 7. Let o be a(-5). Suppose 3*v = -2*v - 5*z, -5*v = -3*z. Suppose 3*k - o - 64 = v. Calculate the lowest common multiple of k and 10. 110 Let j = 31 + -17. Calculate the lowest common multiple of 4 and j. 28 Suppose -4*z - 44 = -2*c + 10, -5*z - 77 = -3*c. Calculate the smallest common multiple of 3 and c. 57 What is the least common multiple of -12*(-2 + 7/4) and 6? 6 Suppose 0 = -o - 2*k + 44, 56 = o - k - 3*k. Calculate the least common multiple of 44 and o. 528 Let p = -2/79349 - -5713198/2777215. Calculate the common denominator of 5 and p. 35 Suppose 4 + 8 = 3*s. What is the least common multiple of 2*-13*3/(-6) and s? 52 Suppose -i = 5*x - 0*x - 7, 0 = 3*x + 5*i - 13. What is the least common multiple of 25 and x? 25 Let n = -115255/9474 - 2/1579. Find the common denominator of 49/(-2) - 0/(-2) and n. 6 Calculate the common denominator of 81/4 and 61/(-6) + 4/(-4). 12 Suppose b = p - b - 2, 2*p + 5*b = -14. Suppose -5*j + 3*z + 18 = 4, 0 = 4*j - 4*z - 8. Calculate the lowest common multiple of 1/(2/12) - p and j. 8 Let z(c) be the third derivative of c**4/24 - 2*c**3/3 - 3*c**2. What is the lowest common multiple of 12 and z(8)? 12 Let c(v) = -v**2 + 6*v - 6. Let q be c(7). Let b = -1 - q. Calculate the lowest common multiple of b and 3. 12 Let n = -7 + -4. Let g = -1 - n. Calculate the least common multiple of 16 and g. 80 Let u(x) = -x**2 - 9*x + 11. Let q be u(-10). What is the common denominator of 71/14 and 149/3*q/6? 126 Suppose -17 - 5 = -3*m + l, 3*m + 2*l - 28 = 0. What is the smallest common multiple of 8 and m? 8 Calculate the common denominator of -41/2 and ((-852)/570)/(8/10). 38 Let q be (-16 - 0) + 2/2. Let h = 26 + q. Suppose 6*f - 44 = 2*f. Calculate the least common multiple of f and h. 11 Let o = -161/7708 - 509964329/38540. Let t = o + 13243. Find the common denominator of (417/36)/(3/2) and t. 90 Suppose -4*y = -15 - 29. Let r = -5 + 7. Suppose -1 = r*j - y. What is the least common multiple of j and 2? 10 What is the lowest common multiple of 10 and (1/(-2))/(3/(-84))? 70 Suppose -s + 2 + 8 = 0. Suppose -a = 4*z - 58 + s, 5*z = 25. Calculate the least common multiple of 8 and a. 56 Let x be (4481/(-3))/((-1015)/(-3)). Let s = 3/203 + x. Find the common denominator of s and -11/4. 20 Suppose -4*p = -16 - 4. Calculate the lowest common multiple of p and 33. 165 Suppose 0 = 3*f - 2*f - 13. Suppose 0 = -2*b - 3*z + 18, 0 = -b + 4*z + 7 + f. Let r(n) = -2*n - 6. What is the smallest common multiple of r(-5) and b? 12 Let c = -386 + -2616. Let y = c + 24115/8. Find the common denominator of (-134)/32*1 - 0 and y. 16 Suppose 1 = -0*u + u. Find the common denominator of ((-234)/20 - -2)
{ "pile_set_name": "DM Mathematics" }
a**2 - 2*a - 195373 wrt a. -1041*a**2 - 1022*a - 2 Find the third derivative of 228543*z**3 - 186562*z**2. 1371258 Find the second derivative of -1755466*j**3 - 1019623*j. -10532796*j Find the first derivative of 5*d**3*m*v - 143*d**3*m - 51*d**3 - 2302*m*v wrt v. 5*d**3*m - 2302*m What is the third derivative of -104806*a**4 - 2*a**3*u**3 + 2*a**2*u**3 + 13*a**2 - 162*u**3 wrt a? -2515344*a - 12*u**3 What is the derivative of -137100*c - 1164843 wrt c? -137100 Find the first derivative of 5292719*c**4 + 2037188. 21170876*c**3 What is the first derivative of -8*c*z**2 + 1326*c - 77264*z**2 + 335 wrt z? -16*c*z - 154528*z Find the third derivative of 1743*h**3*i**4 - 1020306*h**3*i**2 - 5*i**6 wrt i. 41832*h**3*i - 600*i**3 What is the derivative of 2828248*y**3 + 1103250 wrt y? 8484744*y**2 Differentiate -11*p**3 + 2009*p**2 + 424034. -33*p**2 + 4018*p Find the second derivative of 49*g*v**4 - 2229*g - 629*v**4 - 5*v wrt v. 588*g*v**2 - 7548*v**2 What is the second derivative of 14436*p**2 - 2*p + 7268 wrt p? 28872 What is the second derivative of 8*d**4*u**2 - 3387*d**3*u**2 + 88076*d*u**2 - 2*u**2 wrt d? 96*d**2*u**2 - 20322*d*u**2 What is the second derivative of -26466*p**4 - 639*p - 16 wrt p? -317592*p**2 Differentiate -w**4 - 145*w**3 + w**2 - 382*w + 70963 wrt w. -4*w**3 - 435*w**2 + 2*w - 382 What is the third derivative of -d**3*f**3*q + 8*d**3*f*q + 799*d**3*f + 115*d**2*f**3*q + 7*d**2*f**3 + d**2*q - d*f**3*q + 20*d*f*q wrt d? -6*f**3*q + 48*f*q + 4794*f Find the second derivative of 49912*t**2 + 3853*t. 99824 What is the derivative of -11*q**4 + 110*q**2 + 33643 wrt q? -44*q**3 + 220*q Find the second derivative of -2*r**4 - 50*r**3 + 277*r**2 - 667*r + 75. -24*r**2 - 300*r + 554 Find the second derivative of 698407*z**3 + 1306364*z wrt z. 4190442*z What is the first derivative of -22259*g**2*n - 4*g*n**2 - 36*n**2 + 493*n wrt g? -44518*g*n - 4*n**2 Find the second derivative of 416610*k**2 - 67978*k + 1. 833220 Differentiate -111749*d**3 + 332627. -335247*d**2 Find the first derivative of 1641156*g + 412206 wrt g. 1641156 Find the first derivative of 31*p**3 + 10*p**2 + 36*p - 316558. 93*p**2 + 20*p + 36 What is the third derivative of -68509*c**3 + 109561*c**2? -411054 Differentiate 6455*f + 1945. 6455 Differentiate -805352*c*u + 1112327*u with respect to c. -805352*u What is the third derivative of 2109989*a**2*l**3 - 12203*a**2*l**2 - 2*a*d*l**3 - 9*a*d*l**2 - 3*l**2 - 2 wrt l? 12659934*a**2 - 12*a*d What is the second derivative of -95*f**5*w**3 + 944*f**3*w**3 + 11*f*w**3 - 8225*f*w**2 wrt f? -1900*f**3*w**3 + 5664*f*w**3 What is the third derivative of 2*y**4 + 6393*y**3 + 1291*y**2 - 5*y? 48*y + 38358 Find the first derivative of -1904965*s**3 + s**2 - 2*s - 3828975. -5714895*s**2 + 2*s - 2 Differentiate 18*f**2*m**3*w + 69*f**2 - 17*f*m*w - 79*m**3 + 100*m**2*w + 2*m**2 with respect to f. 36*f*m**3*w + 138*f - 17*m*w Find the third derivative of 434769*i**3 + 86*i**2 - 169*i - 1 wrt i. 2608614 What is the third derivative of 247859*j**3 - j**2 + 59399*j? 1487154 What is the third derivative of 13291*i**6 - i**5 + 37505*i**2? 1594920*i**3 - 60*i**2 Find the third derivative of -97*r**6 + 695*r**5 + 397*r**2 - 102 wrt r. -11640*r**3 + 41700*r**2 What is the third derivative of 284115*z**6 - 2*z**3 - 23*z**2 - 584*z + 1 wrt z? 34093800*z**3 - 12 What is the third derivative of 12*f**4*t + 461*f**4 + 2*f**3*t + 38181*f**2 - 2*t wrt f? 288*f*t + 11064*f + 12*t What is the third derivative of -6*h**2*l*t**3 - 3*h**2*l*t + 24*h*l*q*t**2 - 2*h*l*q + h*q*t**2 + 3*l*q*t**3 + 113*q*t**3 - 7*q*t wrt t? -36*h**2*l + 18*l*q + 678*q What is the derivative of -744416*a**4 + 612253? -2977664*a**3 What is the second derivative of -17386*w**3 - w - 6844 wrt w? -104316*w Find the third derivative of -u**6 - 17106*u**4 - u**3 + 313947*u**2. -120*u**3 - 410544*u - 6 Differentiate 1158383*i - 1005834. 1158383 What is the first derivative of 410*k*s*w**3 - k*s - k*w**2 + 20*k*w + s*w**2 + 3*s + 16*w**3 - 7 wrt k? 410*s*w**3 - s - w**2 + 20*w What is the second derivative of -664*o**5 + 8*o**2 - 3859*o? -13280*o**3 + 16 What is the second derivative of 2*h**3*o + 21837*h**3 + 7*h**2 + 14406*h*o + 14*h wrt h? 12*h*o + 131022*h + 14 What is the third derivative of -5739*y**5 + y**4 - 770*y**2 + y + 3? -344340*y**2 + 24*y Find the second derivative of -2*w**5 + 30*w**4 + 85*w**3 + 15591*w wrt w. -40*w**3 + 360*w**2 + 510*w Find the third derivative of -7*q**5 + 741*q**4 - 5*q**3 + 3*q**2 - 10147*q - 2 wrt q. -420*q**2 + 17784*q - 30 Find the second derivative of 161462*x**3 + 2*x**2 + 234182*x. 968772*x + 4 What is the derivative of 3*h*k**3 + 164872*h*k + 526*k**3 + 4*k**2 - 3*k + 11 wrt h? 3*k**3 + 164872*k Find the second derivative of -28135*m**5 - 7*m**4 + m**2 - 3991*m - 10 wrt m. -562700*m**3 - 84*m**2 + 2 What is the second derivative of 10786*g**4 + g + 731 wrt g? 129432*g**2 Find the third derivative of -18*q**4 - 1266*q**3 + 2317*q**2 + 88. -432*q - 7596 What is the derivative of 3*f*j*z - 63305*f*w*z**3 - 2*f*z - 14224*j*w*z**3 - 2*w*z - 2*z**3 wrt j? 3*f*z - 14224*w*z**3 What is the third derivative of 5*l**5 - 13661*l**3 - 2*l**2 + 2*l - 102754 wrt l? 300*l**2 - 81966 Find the second derivative of 4067938*f**4 - 367420*f + 4 wrt f. 48815256*f**2 Find the second derivative of -151161*p**4 - 2*p + 21005 wrt p. -1813932*p**2 Differentiate 20723*a + 45173 wrt a. 20723 Find the second derivative of -56215*p*v**2 + 80855*p*v wrt v. -112430*p Find the second derivative of 3897*h**3*z + h**3 - h**2*z - 34779*h*z - 2*z - 11 wrt h. 23382*h*z + 6*h - 2*z What is the third derivative of -63908*x**5 + 2*x**2 - 13276*x + 15 wrt x? -3834480*x**2 Find the second derivative of 3*b**3 - 263279*b**2*t - 88*b*t - 77*t + 4 wrt b. 18*b - 526558*t Differentiate 73412*k**4 + 35791. 293648*k**3 Find the third derivative of 3217*a**3*d*p**3 + a**3*d*p**2*t**2 - 2*a**3*t + 34*a**2*d*p + 9*a**2*d*t + a**2*p - 2*a*p**3 + 6*a*p*t**2 - 4*p**3*t**2 wrt p. 19302*a**3*d - 12*a - 24*t**2 Find the second derivative of -41622*g**2 + 3*g - 7410. -83244 What is the second derivative of 130597*l**4 - 1728229*l? 1567164*l**2 What is the third derivative of 32412*i**2*n**6 + 3*i**2*n**2 - 8*i**2*n + 35*n**2 - 3 wrt n? 3889440*i**2*n**3 Find the second derivative of -4663*j**2*p**3 + 3*j**2*p**2 + 2361*j*p**3 + j + p**2 wrt j. -9326*p**3 + 6*p**2 Differentiate -c**2*g - 84*c*g**2 + 2*c*g + 2*g**2 + 3170 wrt c. -2*c*g - 84*g**2 + 2*g What is the first derivative of -1612589*z + 174303? -1612589 Find the second derivative of -13*c**3*i*x - 436*c**3*x**3 + 108*c**3*x + 3*c*i*x**3 - 2*c + 7*i*x**2 + i wrt x. -2616*c**3*x + 18*c*i*x + 14*i What is the second derivative of 111*d**4 - 31*d**3 + 31*d**2 - 2479277*d wrt d? 1332*d**2 - 186*d + 62 Differentiate 2626*c*f**3 - 2*c*f - 12468*c wrt f. 7878*c*f**2 - 2*c What is the derivative of -36091*l**3*u**3 - 838*l**3 - 9*u**3 - 470 wrt u? -108273*l**3*u**2 - 27*u**2 What is the first derivative of 1226292*x - 6321196 wrt x? 1226292 What is the second derivative of -63334*i**2*l**2 + 15*i*l**2 + 70*i + 6 wrt i? -126668*l**2 What is the second derivative of 179773*d**2 + 32514*d wrt d? 359546 What is the derivative of 942268*d**3*r + 965273*d**3 wrt r? 942268*d**3 Find the second derivative of -43953*t**4 + 2*t**2 - 1296*t + 53 wrt t. -527436*t**2 + 4 Find the third derivative of 202*n**4*x**2 - 387*n**4*x + 704*n**2 - 2*n*x**2 wrt n. 4848*n*x**2 - 9288*n*x Differentiate 171230*i - 170228. 171230 What is the first derivative of 2942024*k + 2873873? 2942024 What is the first derivative of d**3*f**3 - 51249*d**3 - 6492*f**3 wrt f? 3*d**3*f**2 - 19476*f**2 Differentiate f**3 - 714510*f**2 + 1043022. 3*f**2 - 1429020*f Find the third derivative of 9*o**6 - 51088*o**5 - 15*o**2 + 59*o + 25 wrt o. 1080*o**3 - 3065280*o**2 Find the second derivative of 3891947*y**2 - 2*y + 758168. 7783894 Differentiate 58*q**3 - 9*q**2*z**2 + 5*q*z**2 - 2*z**2 + 3685 wrt q. 174*q**2 - 18*q*z**2 + 5*z**2 Find the first derivative of 23071*k**4 + 9708 wrt k. 92284*k**3 Find the third derivative of 62605*i**3*p**2 + 2*i**2*p - 8774*i*p**2 wrt i. 375630*p**2 What is the third derivative of 227273*m**4 + 262367*m**2? 5454552*m Find the second derivative of -16741
{ "pile_set_name": "DM Mathematics" }
und l to the nearest 1000000. 2000000 Let f = -7 + 8.3. Let h = -5.7 - f. Let t = h + 7.28. Round t to 1 decimal place. 0.3 Let p(b) = -b**3 - 8*b**2 + 10*b - 1. Let v be p(-9). Let w(m) = -3101*m**2 - 10*m. Let j be w(v). What is j rounded to the nearest 100000? -300000 Let w = -1.04 - -1. Let d = 4 - 4.048. Let b = w - d. Round b to 2 decimal places. 0.01 Let r = 93 + -120.7. Let q = -9.3 + r. Let n = q - -36.967. What is n rounded to 2 decimal places? -0.03 Suppose 4*j - 25 = 471. What is j rounded to the nearest ten? 120 Let u(w) = w**2 - 1. Let b be u(1). Let z = 119 - 80. Suppose b = 3*q + 63 + z. What is q rounded to the nearest ten? -30 Let m = -7.3 + 7. Let v = m + 1.1. Let p = v + -0.799945. What is p rounded to 5 dps? 0.00006 Suppose 4*a + 5*c - c = -284, -4*a - 274 = -c. Round a to the nearest ten. -70 Let t = -16 + 15.99996. Round t to four dps. 0 Let x = 202 - 201.9919. Round x to three decimal places. 0.008 Let j = -186133 - -262133. What is j rounded to the nearest 10000? 80000 Let l = 1404 - 2674. What is l rounded to the nearest one hundred? -1300 Let w = -4.9999972 - -5. What is w rounded to six dps? 0.000003 Let k = 30063 + -49263. Round k to the nearest one thousand. -19000 Let g = -4616610.705 - 6266.295. Let b = g + 4622876.92999983. Let k = -0.07 - b. Round k to seven decimal places. 0.0000002 Let s(h) = -h**3 - 10*h**2 - h - 8. Let w = -6 + -4. Let f be s(w). Suppose f*n = n + 450. What is n rounded to the nearest one hundred? 500 Let v = 364301 + 345699. Round v to the nearest one hundred thousand. 700000 Let c(p) = 799*p**2 - 6*p - 5. Let m be c(-5). What is m rounded to the nearest 100000? 0 Let t = 0.045 + -2.945. Let y = t + 18.9. Let w = 17.4 - y. What is w rounded to 1 dp? 1.4 Let c = 64 - 93. Let y = -28.9366731 + -0.0656269. Let b = y - c. What is b rounded to three decimal places? -0.002 Let x(k) be the third derivative of k**4/8 - 2*k**2. Let s be x(-1). Let o be s/5 + (-1199997)/5. Round o to the nearest one hundred thousand. -200000 Let q = 27.79999849 + -27.8. What is q rounded to seven decimal places? -0.0000015 Let c be 652/3*(-30)/4. Round c to the nearest 100. -1600 Let b = 3.8 - 5.2. What is b rounded to 1 decimal place? -1.4 Let h = 0.23 - -0.07. Let f = h + -0.3000192. Round f to 6 dps. -0.000019 Let r = -23.009 + 23. Let h = -0.739 - r. Let o = h - -0.7187. What is o rounded to three decimal places? -0.011 Let k = 189887530 + -189887573.0000095. Let q = 19 + 24. Let v = q + k. What is v rounded to 6 decimal places? -0.00001 Let f = -20 - -14. Let j be (f/9)/((-2)/39). Round j to the nearest ten. 10 Let c = 0.0358 + -0.03579551. What is c rounded to seven decimal places? 0.0000045 Let x be (8/6 - 2)*-9. Let y be (-1194 + -6)/(x/3400). Round y to the nearest one hundred thousand. -700000 Let y = -14 + 13. Let q = 0.9999995 + y. Round q to 7 decimal places. -0.0000005 Suppose 264394 = -6*w - 287606. What is w rounded to the nearest 10000? -90000 Let t = -3509 - -6378. Let g = t - -1619. Suppose 3*u = -m - g, -2*u + 8 = -0*u. Round m to the nearest one thousand. -5000 Let h = -319 - -543. Let z = h - 277.4. Let v = -48 - z. Round v to the nearest integer. 5 Let v = 7301.7389965 - 7303.339. Let j = -1.6 - v. Round j to 6 dps. 0.000004 Let v = -9 - -5. Let z = 274 + -269.995. Let y = v + z. What is y rounded to three dps? 0.005 Let q = 0.03877 - 0.0364. Round q to 4 dps. 0.0024 Let g = 0.7 + 0.9. Let s = g + -1.60038. Round s to four decimal places. -0.0004 Let f = -44031.66344876 + -33.12368124. Let z = f + 44065. Let c = z + -0.214. Round c to four decimal places. -0.0011 Let n = -39.9220863 - -0.5237563. Let b = 39.4 + n. What is b rounded to 4 decimal places? 0.0017 Let j be (8/14)/(2/7). Suppose j*x + 0 + 2 = 0. Round x to 1 dp. -1 Let z = 375 + -373.39. Let j = z + 0.29. Round j to 1 dp. 1.9 Let j = 2388 + -2398.288. Let h = j - -10.7. Let t = h - 0.4. What is t rounded to 2 decimal places? 0.01 Let m = -16 + 9. Let d = m - -48. Let k = d - 41.0093. Round k to 3 decimal places. -0.009 Let c = 99 - 98.99233. Round c to three dps. 0.008 Let i(a) = -a**3 - 33*a**2 - 17*a - 14. Let n be i(-14). What is n rounded to the nearest 100? -3500 Let h = -73.2 + -18.8. Let u = 59 + h. Let s = u + 32.99966. Round s to four dps. -0.0003 Let m = -297652274.19999966 + 297652278. Let f = 35.2 - 39. Let k = f + m. Round k to 7 decimal places. 0.0000003 Let u = -40154 - -1110154. What is u rounded to the nearest one hundred thousand? 1100000 Let g = -110.09 + 110. What is g rounded to two dps? -0.09 Let a = 1997.5 + -2001.5006. Let v = a + 4. What is v rounded to 4 dps? -0.0006 Let g = 3 + 0. Suppose 5*i = 10, -g*i + 2*i = -3*n + 46. What is n rounded to the nearest 10? 20 Let h = -4.306 - -893.806. Let w = h - 896.4998. Let r = w - -7. Round r to 4 dps. 0.0002 Let n = 2349 - 1176. Suppose -187 - n = -2*h. Round h to the nearest 100. 700 Let z = -320 - -305.7. Let x = z + 15.73. Round x to one decimal place. 1.4 Let k = 0.181 + -0.019. Let o = -0.1543 + k. What is o rounded to 3 dps? 0.008 Let r = -15 + 8. Let z = -6.78 - r. What is z rounded to 1 dp? 0.2 Let m = 2.121083 + -0.019773. Let s = -2.1 + m. What is s rounded to 4 decimal places? 0.0013 Suppose -3*w = -4*t - 313, -4*t - 243 = -t - 5*w. Round t to the nearest 10. -80 Let g = 0.16144841 + 5219.94215159. Let a = g - 5197.103609. Let b = 23 - a. Round b to six dps. 0.000009 Let c = -0.013 - -0.313. What is c rounded to one decimal place? 0.3 Let u = 9 + -9.068. What is u rounded to two decimal places? -0.07 Let z = 11 - 12. Let v = 1.00024 + z. Round v to four decimal places. 0.0002 Let q = -0.9163 + 11696.9163. Let s = 11697.5993 - q. Let g = s + -1.6. Round g to 4 decimal places. -0.0007 Let i = -1.6 - 9.5. Round i to zero decimal places. -11 Let c = 117.00102 - 117. What is c rounded to four decimal places? 0.001 Let u = 17 + -15. Let m = 2.00000099 - u. Round m to seven decimal places. 0.000001 Let r = 0.2 - -0.8. Let b = 0 - r. Let w = 0.9995 + b. Round w to three dps. -0.001 Let b = -12.4 - -1.4. Let v = 11.87 + b. Round v to 1 dp. 0.9 Let s = -10887664 - -10887662.49999965. Let w = s - -1.5. Round w to 7 decimal places. -0.0000004 Let a = 135852650.1358181 - 135852663. Let q = a - -29.86418118. Let r = q + -17. Round r to 7 dps. -0.0000007 Let y = 0.9 - 6.9. Let r = -6.01 - y. Round r to one dp. 0 Let u be ((-69)/(-9))/((-2)/12). What is u rounded to the nearest 10? -50 Let f = 38 + -38.00000085. What is f rounded to 7 dps? -0.0000009 Suppose y - 6*y = 500. What is y rounded to the nearest 100? -100 Let y = -72.846 - 3.764. Let l = y + 1.61. Let d = -83.2 - l. What is d rounded to zero dps? -8 Let d = 4 + -8. Let u = d + 4. Let h = u - 0.64. Round h to one decimal place. -0.6 Let f(y) = 2*y - 12. Let q be f(8). Suppose -q*a - 12 = -7*a. Suppose j - 16005 = -4*n, -a*n + 19990 = n - 2*j. What is n rounded to the nearest ten thousand? 0 Let l = -0.016 + 0.01599963. What is l rounded to seven decimal places? -0.0000004 Let s = -1 + 1. Suppose -5*j + f + 13970 = 0, -3*f + 2794 = j - s*j. Let l = j - 1654. Round l to the nearest one hundred. 1100 Let s = 24 - 24.00000032. What is s rounded to seven decimal places? -0.0000003 Let g = 2.6 + 0.4. Let q = 45 + g. Let s = q - 47.973. What is s rounded to 2 decimal places? 0.03 Let z = 1501 + -1500.8211. Let q = z - -0.2509. Let j = q + -0.44. Round j to three dps. -0.01 Let b = -907 - -907.000469. Round b to 5 dps. 0.00047 Let u = -996820 + 667820. What is u rounded to the nearest ten thousand? -330000 Suppose 5*v + 20 = 0, 4*v + 21739724 = -h - h. Let t = 22069854 + h. What is t rounded to the nearest one million? 11000000 Let v = 0.487 + -0.017. Let z = -0.46999892 + v. Round z to seven dps. 0.0000011 Let p = 48.908 + -49. What is p rounded to 2 decimal places? -0.09 Let y = -4 - -12. Let w = 15 - y. Suppose -2*s + 37500 = -w*s. Round s to the nearest 1000. -8000 Let i = -0.23 + -2.07. Let f = 187 + -185.14. Let x = f + i. Round x to one decimal place. -0.4 Let y = 0.9 + 0.8. Let b = y + -1.6999964. What is b rounded to six decimal places? 0.000004 Suppose p + o + 108122 = 4*p, 0 = -3*o + 12. Let k = p - 19142. Round k to the nearest 1000. 17000 Suppose -7085 = -3*s + 5*q + 4930, s - 4009 = 3*q. Round s to
{ "pile_set_name": "DM Mathematics" }