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20 divide (3 + -1)*29 + 2? True Let u(w) = -5*w**2 + w. Let s be u(2). Let i be s/(-12) + 1/2. Suppose -i*v + 22 = -n - 44, -5*v + 5*n + 170 = 0. Is 23 a factor of v? False Suppose -q - 3*q + v = 29, 4*q + 9 = -3*v. Let k(m) be the first derivative of m**3/3 + m**2/2 + 2*m + 2. Is k(q) a multiple of 12? False Let u be 8/44 + 150/22. Suppose 0*o - o = -6. Let v = u + o. Does 13 divide v? True Let u(y) = 100*y**2. Does 20 divide u(1)? True Suppose 5*h - 46 = 4*m, -5*m + 2 = -3*m. Let i = 6 + h. Suppose -2*r = -0 - i. Is 5 a factor of r? False Suppose 4*k - a + 1 = 3*k, -a = -4*k - 19. Let i(b) = b**3 + 5*b**2 - 8*b - 8. Is 4 a factor of i(k)? True Suppose -126 = -2*b + 3*o + 40, b - 74 = -3*o. Is 8 a factor of b? True Suppose 5*h - 9 = -4*z, 2*z + 7 = 4*h + 5*z. Does 7 divide (-200)/(-30) - h/(-3)? True Let a(j) = -3*j - 3. Let b(n) = -n**2 - 2*n - 4. Let z be b(-3). Is 12 a factor of a(z)? False Let x = 9 + -5. Is 4 a factor of x? True Is (-100)/((-8)/(-6)*6/(-4)) a multiple of 10? True Let z(u) = -u**2 + 8*u - 5. Let q be z(6). Suppose 4*f - f - q = b, f = -4*b + 37. Suppose 2*p - b = -4*h, -p - 2 + 27 = -5*h. Is p a multiple of 10? True Let z = -2 + 7. Suppose z*q = 51 + 144. Is q a multiple of 17? False Suppose 0 = -5*g + g + 32. Suppose -4*l + g = -44. Is 5 a factor of l? False Let f be 332/16 + 3/12. Does 5 divide 4/14 + 162/f? False Suppose -2*p - 3*f - 76 = -3*p, -f = 4. Let q be ((-8)/2)/(-2) - 0. Suppose -t - 5*l = -4*t + 98, -2*t + q*l = -p. Is t a multiple of 12? False Is 14 - 14 - (-70 - -1) a multiple of 7? False Let f(a) = a**2 - a + 26. Suppose -6*j = -2*j. Does 13 divide f(j)? True Let s = 13 - 17. Does 20 divide (-5)/(10/s) + 18? True Suppose 4*n = 2*n. Suppose -3*b + 2*b = n. Let f = b + 5. Is f a multiple of 2? False Let u(t) = -56*t - 47. Does 27 divide u(-7)? False Let o be 14/8 + 2/8. Suppose 0 = -x - 5*c + o, -4 = 2*x - c - 8. Suppose 0 = -0*q - x*q + 52. Is 11 a factor of q? False Let o = 0 - -2. Suppose 5*h = u + 48, -o*h = -h + 4*u + 3. Is -3*(192/h)/(-4) a multiple of 16? True Suppose -1 - 18 = -3*t + 2*o, -3*o = -3*t + 21. Let g(h) = 2*h**2 - 4*h + 2. Is g(t) a multiple of 11? False Let c = 81 - -41. Is 10 a factor of c? False Let g(d) = -d**3 - 8*d**2 - 6*d + 9. Let l be g(-7). Suppose -2*x = k - 6*k + 132, 0 = l*k + 3*x - 68. Is k a multiple of 14? True Let m(u) = 2*u**2 + 10*u + 16. Is m(-7) a multiple of 6? False Suppose 3*k + 4*n - 46 = 0, -k + 3*n + 2 = -9. Does 4 divide ((-21)/k)/(6/(-44))? False Let k(o) = -o**3 + 6*o**2 - 3*o + 1. Does 3 divide k(3)? False Let m be ((-15)/9)/((-1)/(-15)). Suppose 2 = 2*w - 0. Let r = w - m. Is r a multiple of 13? True Suppose -2*o + 0*o = 0. Suppose -2*l - 4*i + 18 = o, -5*l + 4 = -i - 19. Does 4 divide l? False Suppose b = 5*b - 12. Suppose h = -2*z + 9, -h + b*h = -5*z + 25. Let o = z - 5. Is 2 a factor of o? True Let r(h) = 22*h - 1. Let c = 11 - 10. Is 7 a factor of r(c)? True Let x be (-1)/(-4) + 786/(-8). Let h = -56 - x. Suppose -h = -u - 0*u. Does 21 divide u? True Suppose 0*u = u. Suppose 2*i - 56 + 12 = u. Does 22 divide i? True Suppose 4*v - 26 = -z - 0*v, -2*z + 3*v + 41 = 0. Let c be 114/22 - 4/z. Suppose 0 = 5*h + c*l - 55, 3*h - 2*l - 27 = l. Does 5 divide h? True Let x(w) = w**2 - 4*w - 12. Let i be x(6). Is 3 a factor of (-1)/(i + 2)*-12? True Suppose 0 = -3*y, -5*i = 3*y - 4*y - 145. Suppose i*b - 26*b = 27. Is b a multiple of 9? True Let q = 6 - -135. Does 28 divide q? False Suppose -2*z + s + 71 = 0, 3*z + 3*s = -0*s + 129. Does 17 divide z? False Let w = 47 - 31. Let y be w/10 + 18/45. Suppose -l = -4*k + 12, -y*l = -2*k + k - 4. Is l even? True Suppose 0 = 3*u - 6*u + 12. Let h(j) = -j**3 + 4*j**2 + j. Let w be h(u). Let s = w + 12. Is s a multiple of 13? False Suppose -1 = 4*j - 5. Suppose -46 = -2*t + v, 3*t + 0*t + v = 74. Let z = j + t. Is 17 a factor of z? False Suppose -2*q + 243 = -39. Is 10 a factor of q? False Let q(n) = -10*n + 2. Is q(-1) a multiple of 6? True Suppose 0 = -m - 5*f + 6, m = -2*f + 18 + 3. Does 20 divide m? False Suppose 5*k = -f + 10, 6 = -2*f + 3*k - 0. Let l = f + 2. Suppose l*j + 44 = 4*j. Is j a multiple of 11? True Suppose 0 = -2*q - 17 - 41. Is 10/(-4)*(-1 + q) a multiple of 15? True Let s be ((12 + -1)*-1)/(-1). Suppose -2*o + 5*w = -s, -w + 11 = 2*o + 2*o. Is 8 a factor of o - (3 + -1) - -15? True Suppose 0 = -2*i + 4 + 2. Suppose i*p - 28 - 17 = 0. Is 10 a factor of p? False Let y(f) = f**2 - f + 3. Suppose -3*c + 2*j = 4, 4*c + 2*j - 10 = -3*j. Let h be y(c). Suppose h*d = -3*i + d + 104, -4*i - d + 132 = 0. Is 16 a factor of i? True Let c(t) = t**2 + 5*t - 1. Let m be c(-5). Is ((-8)/3)/(m/6) a multiple of 7? False Let x = -97 + 118. Is x a multiple of 2? False Suppose -5*z - 42 = 8. Let j be (55 - 0)*(-4)/z. Let i = j - 14. Is 4 a factor of i? True Let r = -132 + 77. Let s = 9 - r. Does 17 divide s? False Suppose -k - 27 = -3*r, 0 = 2*k - 4*k - 2*r - 54. Let p = 67 + k. Is 16 a factor of p? False Suppose 86 - 326 = 4*h. Let w = -39 - h. Let i = -13 + w. Is i a multiple of 3? False Let j(r) = -2*r**2 - 1. Let d be j(-2). Does 16 divide (8/(-3))/(d/108)? True Suppose -4*f - 2*y = -174, 3*f - 2*y - 127 = -7*y. Is 22 a factor of f? True Let o(u) = -3*u - 24. Is o(-18) a multiple of 4? False Let m(j) = -13*j - 8. Let y be m(-6). Is (y/(-40))/((-1)/4) a multiple of 4? False Suppose i + 0*y - 3 = -y, -5*y = -2*i - 1. Suppose -2*c - 14 = -18. Suppose g - 25 = i*j, -3*j + 42 = 3*g + c*j. Is g a multiple of 5? False Let b(t) = -t - 1. Let x(c) = -4*c - 11. Let w(k) = 3*b(k) - x(k). Suppose 3*s + 40 = 8*s. Is w(s) a multiple of 9? False Let b = 6 - -1. Suppose b - 133 = -3*m. Does 14 divide m? True Let l be 1 + -1 + (-60)/(-1). Suppose -2*r + l - 1 = 3*q, -129 = -4*r + 5*q. Is 19 a factor of r? False Let k = 132 - 75. Is 19 a factor of k? True Let a = 16 + -5. Suppose 2*v - v - a = 0. Is v a multiple of 11? True Suppose 2*g + 2*t - 3*t + 25 = 0, -3*t + 53 = -4*g. Suppose 33 = 2*l - 17. Let f = l + g. Does 7 divide f? True Let q(p) = -p**3 + 5*p**2 - p + 3. Let t be q(5). Let o(j) = -5*j - 2. Let x be o(t). Suppose -v - v + x = 0. Is v even? True Suppose -3*q + 10 = 2*q. Let n = 4 - q. Suppose -n*x + 7 = -5*r - 27, -3*x = -r - 25. Does 7 divide x? True Suppose 0 = 2*f + 34 - 4. Let t = f - -37. Is 13 a factor of t? False Suppose 0*i - 42 = -2*i. Suppose 3*c + r = i, -2*c - 2 = 3*r - 16. Suppose -5*p - c + 53 = 2*t, -4*p - 23 = -3*t. Is t a multiple of 9? False Let n(j) = j**3 - 8*j**2 - 7*j + 2. Let o be n(9). Let x(k) = -k**2 + 6*k - 4. Let a be x(4). Suppose o = -a*b, -u = 7*b - 3*b + 11. Is 9 a factor of u? True Is 58/(3/9*6) a multiple of 9? False Let s(v) = 19 - 2*v + v**2 + 0*v + v + 38. Is s(0) a multiple of 27? False Let u be 370/(-45) + 4/18. Is (8/10)/(u/(-140)) a multiple of 13? False Suppose 10 + 41 = 3*s. Suppose 4*g - 12 = -2*t, -t - 5 = -4*g + 1. Suppose z = g*z - s. Is 17 a factor of z? True Let k be 4/((-12)/9) - 61. Let b = 91 + k. Suppose -h + 3*n - 2*n = -b, 2*h = 4*n + 52. Does 11 divide h? False Suppose 5*w - 85 - 65 = 0. Is w a multiple of 3? True Let o(x) = 8*x + 6. Does 20 divide o(4)? False Suppose 3*g - 2*p - 65 = 0, 0*g - 5*p = -g. Let l = g - 11. Is l a multiple of 14? True Suppose 3*j = 6, -y - 4*j = 2*y - 68. Suppose 2*i - 2*o - 40 = 0, o = -2*i - o + y. Is 15 a factor of i? True Let x be 3 + (-1)/(2/138). Let c = -46 - x. Is 10 a factor of c? True Suppose b - 9 + 2 = 0. Suppose 0 = 5*t - 4*i - 92, -t + 2*i + b = 5*i. Is 8 a factor of t? True Suppose -159 = -8*x + 5*x. Does 10 divide x? False Let r = 89 - 34. Let x(u) = -u**3 - 7*u**2 - 4*u - 5. Let h be x(-5). Let c = h + r. Is c a multiple of 10? True Let z = -83 - -195. Is 18 a factor of z? False Let r = 215 - 143. Does 8 divide r? True Let r(j) = 14*j**3 + 2*j**2 - 2*j. Suppose 1 + 4 = 5*x. Does 10 divide r(x)? False Let s(n) = -n**2 - 2*n + 3. Let g be s(-3). Suppose 4*p = 2*d - 14, -3*d + 5*p - 3*p + 29 = g. Is d a multiple of 11? True Suppose 0 = -2*z - z - 6. Let s be -2 - 100/(z*1). Suppose t + 2*t = s. Is 6 a factor of t? False Suppose -6 = -l - 2*l. Let r(f) = 11 + f**2 - 11 + l*f. Does 10 divide r(-6)? False Suppose 37 - 497 = -5*x. Does 17 divide x? False Suppose -2*c + 0*c + 164 = 0. Suppose 2*l = l + c. Let j = l + -55. Is 15
{ "pile_set_name": "DM Mathematics" }
3 = -2*g, -4*g - 4*y + 31 = -3*g. What is the tens digit of g? 1 Let d(w) = -w + 5. Let n be d(0). Suppose -2*r + 4*q = -0*q - 16, n*q + 38 = 4*r. What is the tens digit of r? 1 Let g = -32 - -55. What is the tens digit of g? 2 Let o = 216 + -144. Suppose 196 - o = 4*i. What is the units digit of i? 1 Suppose 0 = 3*g - z + 23, 3*g = 7*g - 4*z + 44. Let o(t) = -t - 3. Let y(b) = -b - 2. Let u(d) = -2*o(d) + 3*y(d). What is the units digit of u(g)? 6 Let a = -3 - -3. Suppose a = 2*b - 0*b - 10. Suppose 10 - 95 = -b*c. What is the tens digit of c? 1 Suppose -j + 11 = 3*q, 3*j - 2*q = -2*j + 38. Let a be (-8)/(-2) - (j + -5). What is the units digit of 17 + a + 4/4? 9 Let u(y) = -31*y + 16. What is the units digit of u(-5)? 1 Let r be (2/(-4))/(9/450). What is the tens digit of -3 + (1 - r) + -2? 2 Let v be 8/(-20) + 17/5. Let f = 3 - v. Suppose -o - 3*o + 60 = f. What is the units digit of o? 5 Let b(z) = -17*z**3 + 2*z**2 + 2*z - 3. What is the units digit of b(-2)? 7 Let s be 15/(-4) + (-1)/4. Let f = s + 7. Let w(l) = -l**2 + 5*l. What is the units digit of w(f)? 6 Let z(l) = l**2 - l - 13. What is the units digit of z(9)? 9 Suppose -2*r + 16 = 2*r. Let b(i) = i**3 - 3*i**2. Let j be b(3). Suppose r*q + 12 - 32 = j. What is the units digit of q? 5 Let w = 27 - 19. What is the units digit of w? 8 Suppose 4*x - 7*x + 135 = 0. What is the tens digit of x? 4 Suppose -5 = -g - 4*g. Let x be 29/4 + g/(-4). Suppose -5*v + x*v - 12 = 0. What is the units digit of v? 6 Let t(g) = -57*g**3 - g**2 - 2*g. What is the tens digit of t(-1)? 5 Let m = -22 + 25. What is the units digit of m? 3 Let j = 1 - 8. Let r(d) = d**3 + 6*d**2 - 8*d + 8. What is the tens digit of r(j)? 1 What is the tens digit of (-1 - 0)/((-4)/96)? 2 Let a(h) = h**3 + 17*h**2 + 9*h + 4. What is the hundreds digit of a(-16)? 1 Suppose y - 27 = 12. Suppose 0 = -3*d - 3, 4*q - 3*d - 115 = 0. Let p = y - q. What is the units digit of p? 1 Let n(h) = h**3 + 4*h**2 - h + 2. Let g be n(-4). Let j = g - 1. What is the units digit of j? 5 Suppose -j + 5*d - 8 = 0, 0 = 6*d - 3*d - 6. Suppose 3 + 3 = -j*h. What is the units digit of 150/9 - h/9? 7 Let h(g) = g**2 + 8. What is the tens digit of h(6)? 4 What is the units digit of 1 + -6*(-1)/1? 7 Suppose 0 = -5*m + 4 + 11. Suppose -p = 3, p - 6 = -2*c - m*p. What is the units digit of c? 9 Let h = 192 + -44. What is the tens digit of h? 4 Suppose 69 + 21 = 5*n. Let a = 55 - n. What is the tens digit of a? 3 Suppose 0 = 2*y + 5*v - 12, 0*v + 12 = -2*y + v. Let c = y + 30. Let i = -16 + c. What is the tens digit of i? 1 Let x(z) = -z**2 + 8*z + 6. What is the units digit of x(8)? 6 Let t(b) = 10*b + 10. Let g be t(-8). Let l = g + 115. What is the tens digit of l? 4 Let v(u) = -u**2 - 17*u - 5. What is the tens digit of v(-15)? 2 Suppose 4*c + 3*s + 13 = -0*s, c + 7 = -2*s. Let t be (-16)/(-6) - c/3. Let w = t - -1. What is the units digit of w? 4 Suppose -3*a = 3, -6*a = 2*i - a + 1. What is the units digit of 3/i*(-2)/(-3)? 1 Let r(i) = -3*i. Let g = 2 - 1. Let k be r(g). What is the units digit of (-38)/(-4) + k/6? 9 Let a be (1 + -1)/(-1 + 0). Suppose -2*r + 3 = -h + r, a = 4*r + 4. What is the units digit of (-15)/h + (-1)/(-2)? 3 Suppose -1 = -3*r + 2*r. What is the units digit of (-13 + r)*15/(-6)? 0 Suppose 3*u = 46 + 50. What is the units digit of u? 2 What is the tens digit of (572/65)/((-4)/(-10))? 2 Let i(a) = a**3 - 3*a**2 - 4*a - 10. What is the units digit of i(6)? 4 Let s(l) = -l**2 + 9*l - 6. Let p(n) = -n**3 - 2*n**2 + 4*n + 4. Let j be p(-4). Let v = -12 + j. What is the units digit of s(v)? 2 Suppose -140 - 150 = 5*g. Let u = -22 - g. What is the units digit of u? 6 Let c(g) = -g**2 - 4*g - 3. Let n = 7 - 13. Let k(r) = -r**3 - 5*r**2 + 5*r - 8. Let t be k(n). What is the units digit of c(t)? 1 Let v(l) = -l + 50. Let x be v(0). Let f = 87 - x. What is the tens digit of f? 3 Let m(y) = 0 + 1 + 6*y**2 + 5*y + 5*y**3 - 4*y**3. Let s be m(-5). Suppose 0 = p + s - 5. What is the units digit of p? 4 Let h = 43 - -51. What is the units digit of h? 4 Suppose 3*g + g - 88 = 0. What is the units digit of g? 2 Suppose 4*d + 0*d = -3*m + 57, -2*m + 38 = 3*d. Suppose l - v - m = -l, -5*l - 5*v = -70. What is the units digit of l? 1 Let n(k) = -2*k - 4. Let u be n(-7). Let h = u - -13. What is the tens digit of h? 2 Let n(y) = y - 4. Let o be n(5). What is the units digit of o - 1 - (6 + -9)? 3 What is the tens digit of (63/27)/(2/24)? 2 Let u = 114 + -69. Suppose 5*t - u - 35 = 0. Suppose 0 = -4*o + 5*y - 11, -o - t = -2*o - 5*y. What is the units digit of o? 1 Suppose 3*w - 36 - 63 = 0. Let t be w/7 - 10/(-35). Suppose -15 = -q - t*c, 2*c + 1 = 3*q - 10. What is the units digit of q? 5 Let c(y) be the third derivative of -y**5/60 + 3*y**4/8 - 4*y**3/3 + y**2. What is the units digit of c(7)? 6 Let y(c) = 2*c**2 + 3*c + 16. What is the units digit of y(5)? 1 Suppose 4*w - 2*k = 1178, -4*w + 3*w + 305 = 3*k. What is the hundreds digit of w? 2 Let p = 19 + -16. Let d = 6 + p. What is the units digit of d? 9 Let g(z) = -7*z - 5. Let q be g(-7). Suppose -p + q = 3*p. What is the units digit of p? 1 Let d(h) = -h + 2. Suppose -p = -0*p + 6. What is the units digit of d(p)? 8 What is the tens digit of 60/2 + 39/(-13)? 2 Let w(i) = i - 6. Let t be w(9). Suppose t*u - 182 = 2*l, 5*l + 248 = 4*u + l. Suppose -5*h + u = 4*b, -3*b - h = 2*b - 62. What is the tens digit of b? 1 Let z(p) = -p**2 - 7*p + 10. Let k be (-54)/8 + 4/(-16). What is the tens digit of z(k)? 1 Let n(t) = t**3 + 3*t**2 - 6*t - 5. Suppose 3*j = j + 3*u - 8, 0 = 3*u. Let v be n(j). Suppose 2*x = -v*x + 25. What is the units digit of x? 5 Let w be (-45)/(-12) - 6/8. What is the units digit of (-2)/w*696/(-16)? 9 Suppose -5*f - 4*l = 1, -5*f + 7 = 2*l - 0. Let b(w) = 4*w**2 + w + 2*w - f*w**2 - 4*w - 2. What is the units digit of b(-4)? 8 Let i(h) be the first derivative of -h**2 - 5*h - 1. What is the units digit of i(-7)? 9 Suppose 4*g = 5*c - 24, -11 + 5 = g - 3*c. What is the units digit of (-4 - g) + 32/2? 8 What is the tens digit of (5 - 4)/((-2)/6) + 118? 1 Suppose 0 = 2*s - 6, -9 = 3*x + s - 4*s. Let w(m) = m**2 + m + 17. What is the units digit of w(x)? 7 Suppose 2*j - 2 = 4. Let d(o) = -5*o + 0*o - 5 + 3 + 3*o**2 + o**j. What is the units digit of d(-4)? 2 Let n(l) = -5*l**3 + 5*l**2 - 5*l - 4. What is the tens digit of n(-3)? 9 Let g(n) be the third derivative of -n**5/60 - 3*n**4/8 - 3*n**3/2 + 8*n**2. Suppose -3*b - 15 = -2*s, -s = -2*b + 4*s + 1. What is the units digit of g(b)? 5 What is the tens digit of 6/(-8) + 203/4? 5 Suppose 4*w - 42 = 62. Suppose 3*d - 33 = h - 9, -5*d = 3*h - w. What is the units digit of d? 7 Let i(c) be the second derivative of c**3/2 - c. What is the tens digit of i(5)? 1 Let w = -1 - 1. What is the units digit of w*(0 - 3/6)? 1 Suppose p - 5*j + 110 = 4*p, -p + 2*j + 33 = 0. What is the tens digit of p? 3 Let k(l) = 3*l**3 + 2*l**2 + l - 1. Suppose -4*c - 12 = -5*v + 14, 3*c + 16 = 2*v. What is the tens digit of k(v)? 3 Let k(u) = -10*u**2 + 2*u**2 - 2 - 1 + 7*u + u**3. Let i be k(7). Let a = 4 - i. What is the units digit of a? 7 Suppose -12*b = -b - 396. What is the tens digit of b? 3 Let c(k) = -46*k + 17. What is the hundreds digit of c(-3)? 1 Let l(y) = 10*y - y**2 + 7 + 4*y**2 - 2*y**2. Let v(s) = s**2 - 22*s + 30. Let d be v(20). What is the units digit of l(d)? 7 Suppose -u = -5*q + 23, 3 - 10 = -3*u - 4*q. Let f(a) = 2*a**2 + 2*a + 1. What is the units digit of f(u)? 3 Let p = -4 + 7. Suppose 3*b + 3*h = 12, p*b - 18 = 2*h + h. What is the units digit of b? 5 Suppose -5*i = -37 - 23. What is the units digit of i? 2 Let r = 5 + -4. Let f be (-9)/(-12)*(-12)/r. Let k = f - -16. What is the units digit of k? 7 Suppose f = 74 - 7. What is the tens digit of f? 6 Suppose 5*p + 2*f = 105, -p + 5*f + 48 = -0*p. What is the units digit of p? 3 Let s(a) = 8*a**3 + a**2 + 1 + 0 + 0 - a. What is the units digit of s(1)? 9 Suppose -2*c - 3*c - 2*f + 413 = 0, 3*c = f + 239. Suppose -3*y - 3*k - c = -8*y, 0 = 3*y + 5*k - 69. What is the tens digit of y? 1 Let z be ((-5)/15)/(1/(-6)). Suppose 2*w - 6 = -6*d + 4*d, -z*d + 1 = -3*w. What is the tens digit of (-8)/(-1) + (d - -1)? 1 Suppose 0 = -3*b + 98 + 16. What is the units digit of b? 8 Suppos
{ "pile_set_name": "DM Mathematics" }
(5/(10/(-4)))/(g/(-15)). What is the highest common factor of b and 15? 15 Let x(n) = -2*n + 5. Let a(q) = 7*q - 14. Let d(h) = -5*a(h) - 14*x(h). Let r be d(-4). Suppose 47 = 5*o - r. What is the greatest common factor of o and 15? 15 Suppose 5*o - 84 = 71. Let s(j) = -3*j + 61. Suppose -130 = 6*l - 19*l. Let z be s(l). What is the highest common factor of o and z? 31 Let r = 211 - 197. What is the highest common divisor of r and 203? 7 Suppose 4*i - 9*i = -975. Suppose -i = 2*h + 9. Let d = -70 - h. What is the highest common divisor of 8 and d? 8 Suppose 181 = 2*m + 3*s, -8*s + 4*s - 297 = -3*m. Let z(v) = -v**3 + 6*v**2 + 12*v - 16. Let x be z(7). What is the greatest common divisor of x and m? 19 Suppose -2*m - 125 = -431. Suppose 0 = -10*q + 7*q + m. Calculate the greatest common factor of q and 34. 17 Suppose -4*p + 342 = -126. Calculate the greatest common divisor of p and 27. 9 Suppose 2*v - 7*v = -25. Suppose v*l - b = 32, 3 + 1 = -2*b. What is the highest common factor of 15 and l? 3 Let p(r) = 10*r**2 + 2*r + 1. Let t be p(-1). Suppose t*h - 569 = 322. What is the greatest common factor of h and 9? 9 Suppose 26 = -5*z + 3*z. Let h = 21 + z. Calculate the highest common divisor of 40 and h. 8 Suppose 43 - 323 = -5*m - 5*h, 5*h - 228 = -4*m. Calculate the greatest common divisor of 4 and m. 4 Suppose 16*s - 198 = 11*s + 4*t, 5*s + 2*t = 216. Calculate the greatest common factor of s and 434. 14 Suppose -2*h + 32 + 18 = 0. Calculate the highest common factor of 25 and h. 25 Let z(b) = -3*b. Let y be z(-6). Suppose -x - 4*d = -20, 81*d = -5*x + 79*d + 64. Calculate the highest common factor of x and y. 6 Let k be (-2 - (2 + -6)) + (20 - 2). Calculate the highest common factor of 4 and k. 4 Suppose -3*s = -0*s. Suppose 5*y - 5*q + 10 = s, -y + 4*y = -4*q + 15. Let m(b) = -4*b - 3. Let i be m(-1). Calculate the highest common divisor of y and i. 1 Let i = 82 - 70. What is the highest common divisor of 210 and i? 6 Suppose 5*t - w - 801 = 3*w, w + 321 = 2*t. What is the highest common divisor of 14 and t? 7 Suppose -189*t + 1540 = -178*t. What is the highest common divisor of 105 and t? 35 Let l(s) = 3*s. Let r be l(6). Let h be (-11)/(396/(-1284)) - 2/(-6). Calculate the highest common factor of r and h. 18 Suppose 0 = 30*t + 5*t - 23030. Calculate the highest common factor of t and 14. 14 Let o = -7 + 23. Suppose -2*g - 10 = 0, 3*g + 52 = 4*p - g. Suppose -p = -4*f - 0. Calculate the greatest common divisor of f and o. 2 Let m be 1/1 + 12/(-3). Let y be ((-28)/(-21))/(m/(-126)). Calculate the greatest common divisor of y and 7. 7 Let h be (16 + -2 + 1)*8/(-6). Let a = -15 - h. Calculate the greatest common factor of 15 and a. 5 Let i = 135 + -117. Suppose -3*z = -3*p + 30, -4*z = 3*p - 2*z - 25. Calculate the greatest common divisor of p and i. 9 Let q(v) = -5*v + 8. Let c be q(-3). Let j be 1/(c/(-12) - (-6)/3). Let f = 30 - 6. What is the greatest common divisor of j and f? 12 Let o be (-622)/(-8) - (150/(-8))/(-25). What is the highest common factor of 119 and o? 7 Let y = 1 - 0. Suppose -j + c + 6 = -y, c = 4*j - 37. What is the greatest common divisor of j and 10? 10 Suppose 444 = 4*c + 4*t, 3*t = -4*c - 206 + 651. What is the greatest common factor of 308 and c? 28 Let j be (58/6)/((-2)/(-18)). Suppose 4*d - 117 = j. Calculate the highest common factor of 3 and d. 3 Let l(h) = 4*h**2 - 14*h + 19. Let d be l(2). Calculate the greatest common divisor of 10 and d. 1 Let j = 2326 + -2176. What is the greatest common divisor of 165 and j? 15 Let j be (-62)/(-6) - 8/(-12). What is the highest common divisor of j and 2? 1 Suppose -903 = -11*p - 243. What is the highest common factor of p and 45? 15 Suppose 0 = 2*v - 5*n - 69, -v + 0*v + n + 27 = 0. What is the greatest common divisor of 253 and v? 11 Suppose 65 - 25 = -4*y. Let u = y + 18. What is the highest common divisor of 64 and u? 8 Let u be 50/12 + (-13)/78. Suppose 3 - u = -b. Let j be (1 + b)/((-3)/(-42)). Calculate the highest common divisor of 42 and j. 14 Let t be -13*(-4)/(-10)*(2 + -27). Calculate the greatest common factor of 52 and t. 26 Let j be 6*6/72 + (-227)/(-2). Suppose 21 = 5*z - j. Calculate the highest common divisor of z and 18. 9 Suppose -363 = -2*s + s. Suppose i - 7*v + 3*v - 121 = 0, -s = -3*i - 5*v. What is the highest common factor of i and 11? 11 Let r(u) = -3*u + 13. Let j be r(-8). Suppose -4*l = 13 - j. What is the greatest common factor of 48 and l? 6 Let s = 19 + -14. Suppose -4*d + s*p = -2 - 53, 2*d - 32 = 4*p. Suppose -15*j = -d*j - 240. What is the greatest common factor of j and 32? 16 Let a = -4 - 6. Let b = 13 + a. Suppose -2*s - b*s = -200. Calculate the highest common factor of s and 5. 5 Suppose y = -4*y. Suppose y*h = 2*h - 2. Calculate the greatest common factor of 7 and h. 1 Let d be ((-1)/(-5))/(7/175). Let p(l) = 2*l + 12. Let w be p(d). Let v be (-202)/(-18) + 2/(-9). What is the highest common factor of w and v? 11 Let l(o) = -2*o. Let z be l(0). Suppose z = 5*k - 75 - 20. Let u(v) = v**2 + v + 133. Let x be u(0). Calculate the highest common factor of x and k. 19 Suppose 149 = t - 3*b, 5*b + 188 = 3*t - 251. Let q be 5 - (-20*1)/(-4). Let u = 13 - q. What is the highest common divisor of u and t? 13 Let b be 13/((-17)/7854*-21). Let a be 44/(-6)*(-3)/1. Calculate the highest common factor of a and b. 22 Suppose 0*n = n - 34. Suppose a - 2*a + 31 = -w, -5*w = -15. Calculate the highest common divisor of n and a. 34 Let y = 1023 - 820. What is the greatest common divisor of y and 145? 29 Let i = -1387 - -1396. Let f(k) = 19*k**2 - 4*k - 3. Let c be f(-2). What is the greatest common factor of i and c? 9 Suppose 35 - 53 = -2*t. Suppose 0 = 2*p - p - 3. Calculate the greatest common divisor of p and t. 3 Suppose 0 = 4*q - 4, 2*q = -2*d - 9 + 1173. What is the greatest common factor of 249 and d? 83 Let k(b) = b + 14. Let l be k(12). Let h = 47 - l. Calculate the highest common factor of 3 and h. 3 Suppose 4*x + 4*t + 8 = t, -x - 4*t + 11 = 0. Suppose -2*b - 44 = 2*b. Let s = x - b. What is the greatest common factor of s and 42? 6 Let f = -162 + 55. Let a = 123 + f. Let n(w) = w**3 - 2*w**2 + w. Let s be n(2). What is the highest common factor of s and a? 2 Suppose 70 = 6*j - j. Suppose 3*g = 5*g - j. What is the greatest common factor of 70 and g? 7 Suppose -5*z + 2*z - 4*l = -35, -2*l + 30 = 4*z. Let w = 0 + z. Suppose 0 = -o - w, o - 6*o - 39 = -2*b. Calculate the greatest common divisor of b and 49. 7 Let n be 20/6*(-6)/(-10). Suppose -84 = -n*c - 14. What is the highest common factor of 21 and c? 7 Suppose l - 2*m + 2 - 16 = 0, -5*m = -15. What is the highest common factor of l and 2780? 20 Suppose -20*m = -776 + 136. What is the greatest common factor of m and 144? 16 Let n = 1162 + -1120. What is the greatest common divisor of 714 and n? 42 Let p be -2 - (0 + -6 + 2). Let l be p/(-9) - 2934/(-81). Let x = 24 - 0. What is the greatest common divisor of x and l? 12 Suppose 0 = 70*p - 75*p + 630. What is the highest common factor of 28 and p? 14 Let k(f) = f + 8. Let c be k(-4). Let n(q) = q**3 + 10*q**2 + 5*q - 8. Let p be n(-9). What is the greatest common divisor of p and c? 4 Let u(h) = 2*h + 5. Let y be u(-6). Let t be -1 - y - (-7)/(-7). Suppose c + 2 = t*n, -4*c - n - 6 = -5*c. Calculate the greatest common factor of 56 and c. 8 Let d be (4/(-12))/(2/(-24)). Suppose 37 = b + 2*s, -4*b + 156 = -4*s - 28. Let n = b + -23. Calculate the highest common factor of d and n. 4 Let s(f) = -f**3 - 24*f**2 + 22*f - 45. Let x be s(-25). What is the greatest common divisor of x and 20? 10 Let j(c) = c**3 + 8*c**2 + 5*c - 9. Let u be j(-7). Let l(x) = -x**3 + 8*x**2 + 6. Let z be l(7). Calculate the highest common divisor of u and z. 5 Let o be 109 - (0 + -1)*-1. Let j be (32/28)/(4/14). Suppose -2*w + j*n + 18 = -32, -2*n = 2*w - 56. What is the highest common divisor of w and o? 27 Let u be (2*-1)/((-2)/26). Let p = 225 - 197. Suppose -p = -x + u. What is the greatest common divisor of 6 and x? 6 Suppose -24*s + 5184 = -18*s. Calculate the highest common factor of s and 54. 54 Let q be 2/4*4 - -18. Suppose -5*g - 5*l = -15, 0*g - 50 = -5*g + 2*l. Suppose 4*i - g*i + 40 = 0. Calculate the highest common divisor of q and i. 10 Suppose
{ "pile_set_name": "DM Mathematics" }
= 10*o**3 - 3*o**2 + 1. Let s(y) = -y**2 - 8*y + 4. Let k be s(-6). Let i = 14 - k. Let w be b(i). Round w to the nearest ten. -90 Let s = 12 + -4. Let x = s + -7.999986. What is x rounded to five dps? 0.00001 Let u = -162549 - -353549. Round u to the nearest 100000. 200000 Let c = 668296.81 - 681289.8032. Let q = -12996 - c. Let p = -3 - q. What is p rounded to 3 decimal places? 0.007 Let v = 5.8 + -7. Let x = 2.4 + v. Let w = -1.19994 + x. Round w to five dps. 0.00006 Let t(u) = -u - 2. Let r be t(-11). Let h(d) = -6 - d**2 - 7*d - d**3 + 0*d**3 - r*d**2 - 2. Let l be h(-10). What is l rounded to the nearest 10? 60 Let h = 40676 + -41292.91. Let b = -614 - h. Round b to the nearest integer. 3 Suppose -4*w = -6*w - 5*w. Suppose 7*r - 25077 - 68723 = w. What is r rounded to the nearest one thousand? 13000 Let h = 27 + -48. Let t = h - -21.16. Round t to two dps. 0.16 Let s = -488 - -622. Round s to the nearest 100. 100 Let z be (-4)/(-6) + 5753836/(-6). Let d = z + 308972. What is d rounded to the nearest 100000? -700000 Suppose -8 = 5*m - 68. Suppose 2*o - 3*x = 20, 12 = o - 4*x + 3*x. Let f be (o*125)/(m/(-120)). What is f rounded to the nearest one hundred thousand? 0 Let p = 286.00000844 - 286. Round p to seven dps. 0.0000084 Let l be (-2)/(4/24*-3). Let p be (-5774)/(-4) + 2/l. Let r = -514 + p. What is r rounded to the nearest one hundred? 900 Let y = -42924.852 - -42803. Let q = -122 - y. Round q to two dps. -0.15 Let p = 0.105 - 0.102228. Round p to four dps. 0.0028 Let o(a) = 416*a**2 + 6*a + 28. Let z be o(-8). Let c = z + -132604. What is c rounded to the nearest 10000? -110000 Let g = 0.73377 + 2.066224. Let r = g + -2.8. What is r rounded to six decimal places? -0.000006 Let g = -55.27 - -55. Let f = -0.01 + g. Let z = f + 0.16. What is z rounded to one decimal place? -0.1 Let v = -98181597 + 98181590.00000112. Let h = -184 + 177. Let y = h - v. What is y rounded to 7 dps? -0.0000011 Let d = 3.082 - 0.072. Let u = 3.0100159 - d. What is u rounded to six dps? 0.000016 Let a = -459 + 458.179. Round a to two dps. -0.82 Let f be 18854/(4/6*3). Let p = 4427 - f. What is p rounded to the nearest ten thousand? -10000 Let f = 23.38 - 23.1906. Let m = 0.8 + -0.99. Let i = m + f. Round i to four dps. -0.0006 Let j = 20203328.5999985 - 20203373.6. Let d = 45 + j. Round d to six dps. -0.000002 Let v = -0.4 - -12.4. Let f = -11.99999897 + v. Round f to seven dps. 0.000001 Let q = -0.817 - -0.78736. What is q rounded to 3 dps? -0.03 Suppose b = -5, 21*w + 3*b = 18*w - 38145. What is w rounded to the nearest one thousand? -13000 Let y = 12168476347.9999593 + -12168475546. Let o = y + -802. What is o rounded to six dps? -0.000041 Let x = 45 - -43. Let p(s) = -2*s - 6. Let g be p(-3). Suppose t - 2*h - h + 14 = g, 4*t = 4*h - x. Round t to the nearest 10. -30 Suppose t = -3*t + 3*o + 32666, 5*t + 3*o - 40846 = 0. Suppose n + 20840 = -4*n. Let b = t + n. What is b rounded to the nearest one thousand? 4000 Let j = -0.2905 + 0.0625. Round j to 1 dp. -0.2 Let v = -6 - -8.2. Let k = 68 + -66. Let z = k - v. Round z to the nearest integer. 0 Suppose 285*b - 291*b + 6 = 0. What is b rounded to the nearest integer? 1 Let m = -20.268 - -0.818. What is m rounded to the nearest 10? -20 Suppose -4*c - 199 + 883 = -4*z, 2*c = -z - 168. Round z to the nearest 10. -170 Suppose -2*w + 12 = 2*d, 0 = -w - 3*d + 5 + 3. Let a(m) = -10511*m + 7. Let u be a(w). Let l = u + 123548. Round l to the nearest 10000. 70000 Suppose -2*u + 6229 + 351 = 0. Suppose -c + 0*c - u = 0. Round c to the nearest 100. -3300 Let l = 298 + -177. Let w = l + -66. Let t = w + -55.0232. Round t to three decimal places. -0.023 Let r = 2.8301496 + -2.83. What is r rounded to 6 decimal places? 0.00015 Let n = 0.329 + 55.771. Let v = 59 - n. Let i = v + -2.900019. Round i to five dps. -0.00002 Let z = -26.6501262 - -26.65. Round z to six dps. -0.000126 Let k = 29 + -17. Let u = k + -12.12. Let m = 0.3 + u. What is m rounded to 1 decimal place? 0.2 Let t = -93.42225 - -93.5. What is t rounded to two decimal places? 0.08 Let r = -104.8 + 0.6. Let t = -51.9 - r. What is t rounded to the nearest 10? 50 Let m = -4119.7821 + 4120. What is m rounded to two decimal places? 0.22 Let u = -0.029 + -26.971. Let q = u - -27.104. Let m = 0.02 - q. Round m to 2 decimal places. -0.08 Let m = 3658 - 3658.0000008985. What is m rounded to 7 decimal places? -0.0000009 Let o = -460.2 + 462.621. Round o to 1 dp. 2.4 Let c = 91.648 + -87.6. Let r = -4 + c. Let v = 0.048039 - r. What is v rounded to five dps? 0.00004 Let o = 28.9 - 44.6. Let u = o - -1.4. What is u rounded to 0 dps? -14 Suppose -48125 = -2*z - 3*b - 2*b, 0 = -2*z - 3*b + 48115. Let y be -4*9/(-12) - z. Let n = y - -49047. Round n to the nearest ten thousand. 30000 Let g be (-176 - 1)/((-3)/89304). Suppose -6*c - g + 888936 = 0. Round c to the nearest one hundred thousand. -700000 Let n = 61 + -43. Let d be (-12152)/(-5) + n/(-45). Round d to the nearest 100. 2400 Let z(r) = -2*r + 25. Let k be z(9). Let c be (-52)/91 - (-1054)/k. What is c rounded to the nearest one hundred? 200 Let m = 170.5 - 221. Let s = -47 - m. Round s to the nearest integer. 4 Let f = 622 - 620.19. What is f rounded to zero decimal places? 2 Let o = 90 - 95. Let l be (-3 - (5 + o)) + (-10899997 - 0). Round l to the nearest 1000000. -11000000 Let q(b) = -54*b**2 - 4*b + 7. Let l be q(-3). What is l rounded to the nearest ten? -470 Let a = -20 - -22. Let z be (1 + -1 + 1038)/a. Let f = z + -1029. What is f rounded to the nearest 100? -500 Let w = -24 - -21. Let r(t) = -1500000*t**2 + t + 3. Let u be r(w). What is u rounded to the nearest 1000000? -14000000 Let f = -0.11 - -0.37. Let q = f + -0.275. Let c = q + -1.125. What is c rounded to one decimal place? -1.1 Let j = 1418 + -1417.9999995482. What is j rounded to seven dps? 0.0000005 Let o = -0.137 + -1.553. Let c = -0.915307 + -0.77458. Let n = o - c. What is n rounded to 5 decimal places? -0.00011 Let r = 20.97 + -22.42264. Let t = r + -11.54676. Let a = t + 13. Round a to four decimal places. 0.0006 Let a(u) = 84*u**2 + 20*u - 56. Let n be a(13). Round n to the nearest 1000. 14000 Let m = -578.99999946 - -579. Round m to 6 dps. 0.000001 Suppose -2*y - 771200 = 610136. Let w = 1430668 + y. Round w to the nearest one hundred thousand. 700000 Let c = -559 + 395. Let a = 157.1 + c. What is a rounded to the nearest integer? -7 Let k = -0.347 - -0.38. Let i = -322.96794 + 323. Let l = k - i. Round l to 4 dps. 0.0009 Let p = -9503.1 + 8832. Round p to the nearest one hundred. -700 Suppose -3*f + 5*i - 10107 = 1545, 2*i = 3*f + 11661. What is f rounded to the nearest 1000? -4000 Let v = 608 - -50. Let z = 658.301 - v. Round z to one decimal place. 0.3 Let d = 2.2 - -0.3. Let n = d + -2.5000964. What is n rounded to five dps? -0.0001 Let o = 99.8 + -147.78. Let g = 46 + o. What is g rounded to the nearest integer? -2 Let f = -16 + 9. Let n = f - 11. Let g = n - -18.00000014. What is g rounded to seven dps? 0.0000001 Let f be (-4)/(-18) + (-19272074)/(-18). Let n = 7170671 - f. Round n to the nearest one million. 6000000 Let z = -0.018 - -3.018. Let j = -300.319363 - -297.3193. Let v = j + z. Round v to 5 decimal places. -0.00006 Let f = -5968.00005318 - -5968. Round f to six dps. -0.000053 Let f be (-5 - -4)*(1 - 4). Suppose 3*t + 3*n = -6, f*t + 4*n + 1 = 2*n. Suppose 11 = -2*c - c - 5*x, t*c + 7 = -x. Round c to the nearest 10. 0 Let k = 4.93880605 - -0.06125995. Let p = 2 + -7. Let z = p + k. What is z rounded to five dps? 0.00007 Let m = 32 - -49. Suppose -4*j = 3*f - m, -f + 8 + 3 = -4*j. Suppose 4*z - f = -3, -4*z + 126020 = 2*h. Round h to the nearest 10000. 60000 Let v = 391.54 - 300.9. Let u = 93.3381 - v. Let b = 2.7 - u. What is b rounded to 3 decimal places? 0.002 Let a = 29 + -28.87. Let h = a + -103.13. Let p = 102.9917 + h. Round p to 3 decimal places. -0.008 Let n = -0.938 - -0.91265. What is n rounded to three decimal places? -0.025 Let l = -87 - -86.896. Let s = 0.103979 + l. Round s to five decimal places. -0.00002 Let n = 10 + -10. Suppose f = -n*f. Suppose -4*q + l + f*l - 5 = 0, -5*q + 5 = l. What is q rounded to the nearest ten thousand? 0 Let a = 175960 + -175884.443. Let b = 75 - a. What is b rounded to one
{ "pile_set_name": "DM Mathematics" }
v) = 18*v + v - 34*v - v. Is 25 a factor of z(-5)? False Suppose 2*w + 4 = 4*u + 22, -2*w - u + 8 = 0. Suppose -223 = -3*k + w*p, k = 6*k - 5*p - 355. Is 14 a factor of k? False Let a = -5 - -5. Suppose y - 4*y + 372 = a. Is 26 a factor of y? False Let d = 962 + -470. Is d a multiple of 12? True Let h be ((-61)/4)/((-4)/(-16)). Let u = h + 151. Is u a multiple of 18? True Suppose -6*f + 5*t = -5*f + 89, 3*f + 5*t + 227 = 0. Let n = f + 164. Does 17 divide n? True Let q = -66 - -69. Suppose -19 = -5*n + 1, 347 = q*x - n. Is x a multiple of 13? True Let a be (18/(-8))/(18/(-1344)). Let k = a - 281. Let w = -65 - k. Is w a multiple of 12? True Let o be (-1)/(-1) - 5 - -72. Let y = o - -3. Does 23 divide y? False Suppose -4*g + 3152 = 4*w, -7*w = -2*w + 3*g - 3948. Does 46 divide w? False Let z(l) = -l**3 + 3*l**2 + l + 7. Let w be z(3). Let q(g) = -g**3 + 12*g**2 - 9*g - 8. Does 18 divide q(w)? False Let w = 2962 + -2170. Does 9 divide w? True Let q(w) = 19*w + 43. Is 19 a factor of q(7)? False Let t(c) = c**2 + 7*c. Let d = -13 - -5. Let a be t(d). Let z = 0 + a. Is 8 a factor of z? True Let s = -722 + 452. Let c be ((-2)/(-4))/(5/s). Let u = -18 - c. Is 6 a factor of u? False Let a = 1021 + -283. Is 41 a factor of a? True Let f(a) = a**2 - a + 2. Let l be f(-5). Let h = l + -13. Is h a multiple of 5? False Suppose 3*v - 9 = -3. Suppose -v*t - t - 5*q + 128 = 0, 0 = -4*t - 3*q + 189. Does 7 divide t? False Let c(d) = 3*d**2 + 3*d + 1. Suppose 2*w + 2*w + t = 6, -4*w + 2*t = 0. Let n be (-2)/((-4)/8 + w). Is c(n) a multiple of 12? False Suppose -2*a = 3*b - 4*b - 8, 2*a - 20 = -5*b. Let q(n) = 38*n + 25. Does 17 divide q(a)? False Let z = 1157 + -757. Is z a multiple of 10? True Suppose -u = 4*u. Suppose u = 3*j - 7 - 8. Does 14 divide (-10)/((j/8)/(-5))? False Let k = -878 - -1697. Is 21 a factor of k? True Let h be 12/((2/(-1))/(-2)). Suppose -2*x = -6*x + h. Suppose 2*z + x*m - 113 = 4*m, -276 = -5*z - 4*m. Does 23 divide z? False Suppose 6*r - 1134 = 3*r. Is 21 a factor of r? True Does 9 divide 5/(-6) + (-2627)/426 + 4349? False Suppose 4*s - 161 = -17. Let v = s - 16. Is v a multiple of 13? False Let w be (-7)/35 + (-2)/(-10). Let l be (-14)/(-21) - 5/3. Does 14 divide l - w - (-4 - 41)? False Let d(g) be the third derivative of 5*g**4/24 + 7*g**3/6 - 11*g**2. Let u(a) = -7*a + 2. Let r be u(-2). Is d(r) a multiple of 29? True Let a(s) = 184*s**2 + s + 2. Let h be a(-1). Is h/30*3*2 a multiple of 29? False Let d = -130 + 237. Suppose -13 = -2*h + d. Is h a multiple of 30? True Let w(y) = -y**2 - 5*y + 17. Let v be w(12). Let r = -87 - v. Is r a multiple of 24? False Suppose -25 = -4*c - 9. Let r(g) = 2*g**2 - 4*g - 5. Let d be r(c). Suppose 5*a - 109 = d. Is 12 a factor of a? True Suppose 2*m + 2*i - 80 = 3*i, -3*i = -12. Suppose -d + 58 + m = 0. Is d a multiple of 19? False Suppose 2745 = -902*w + 911*w. Does 61 divide w? True Let m(r) = -13*r + 32. Let p be m(-10). Suppose 8*g - p = 2*g. Does 3 divide g? True Suppose -72 = z - 25. Suppose 0 = -5*q + 5*l + 121 - 491, 0 = -5*q - 4*l - 379. Let c = z - q. Is c a multiple of 14? True Let l(y) = -4*y**2 + 2*y + 2. Let g = 24 + -22. Let v be l(g). Is (132/15)/((-4)/v) a multiple of 12? False Is 37 a factor of -1073*24/(-2 - 10)? True Suppose 6*t - 7*t + f = 30, -2*t = 2*f + 44. Let z = 76 + t. Is 15 a factor of z? False Let p be -6*(1/(-3) + -1). Suppose p*t - 17*t = -225. Is t a multiple of 7? False Is 138/230 + 2377/5 a multiple of 4? True Let z(m) be the first derivative of 9*m**4 + m**3/3 - m**2/2 + m - 26. Does 19 divide z(2)? False Let f(u) = -4*u - 24. Let q be -13 + 0/(-1 + -2). Is 7 a factor of f(q)? True Suppose -2*y - 3*o - 9 = 0, 0 = 2*y - 0*o - 3*o - 21. Suppose 3*t + 12 = 0, -4*m + 158 = -y*m - t. Is 17 a factor of m? False Suppose 2*c + 64 = 4*n, 15 = 2*n - n - c. Let p = n + -7. Is 10 a factor of p? True Does 26 divide 1983/(-15)*(-25 + 20)? False Suppose 0*p + 5*p = 85. Suppose 45 - p = -7*q. Is (2/q)/((-10)/1080) a multiple of 21? False Suppose -5 = -4*g + 5*j, 4*j - 17 = g - 2*g. Suppose -r - 3*a + 9 = -0*a, 7 = -r + g*a. Does 3 divide (-6)/4*(1 - r)? True Suppose -215*s + 222*s = 1785. Does 7 divide s? False Let a(f) = 29*f**2 + 5*f - 11. Let c be a(3). Does 53 divide (-3 - -5)/(2/c)? True Is 17 a factor of (129 - -7)*36/16? True Let l = -1171 + 1094. Let p(r) = -112*r. Let b be p(-1). Let o = b + l. Does 11 divide o? False Let f(w) = w**3 - 4*w**2 + 4*w - 3. Let d be f(3). Suppose d = -4*h + 49 - 145. Let s = 35 + h. Is s a multiple of 3? False Let z be 1019/7 + (-3)/(-7). Suppose -5*j + 95 + 295 = 0. Suppose j = 4*h - z. Is 14 a factor of h? True Let j = -4100 - -7202. Is j a multiple of 33? True Suppose 3*h - h - 3*a + 4 = 0, -5*a + 40 = 5*h. Suppose -o + s + h*s + 60 = 0, 60 = o + s. Is o a multiple of 18? False Let a(k) = k + 1. Suppose -14*w - 20 = -9*w. Let b be a(w). Is 23 a factor of 52/39 + (-179)/b? False Suppose 23*u - 25*u = -4*p + 9870, -3*p + 3*u = -7401. Is p a multiple of 113? False Let f(u) be the third derivative of u**4/24 + 11*u**3/6 - 7*u**2. Let p be f(-8). Let l(s) = 3*s**2 + 3*s + 2. Is 9 a factor of l(p)? False Suppose 0 = -0*z - 4*z + 72. Let c be (z/15)/(2/5). Let g(f) = f**2 + f - 4. Is g(c) a multiple of 3? False Let v = 47 + -75. Let i = v - -82. Is 32 a factor of i? False Suppose z = 3*r + 2*z - 10, -3*z = -3*r - 6. Suppose 0 = 4*n + r*w - 160, -146 = 5*n - 5*w - 376. Does 9 divide n? False Let h be 2*(-1 + 17/2). Let w be h/12*(4 - 0). Suppose -w*r + 4*f - 5*f = -75, 0 = -r - 5*f + 39. Is r a multiple of 14? True Suppose 8*m - 26633 = -3673. Does 20 divide m? False Let w = 2162 + -1445. Does 14 divide w? False Let v = -145 - -80. Let a = 151 + v. Is a a multiple of 6? False Suppose -133*s + 129*s + 1480 = 0. Suppose s + 110 = 6*h. Is h a multiple of 8? True Suppose 4086 = 3*k - 2*i, k - 2*k + 3*i + 1362 = 0. Does 50 divide k? False Let x(b) = -b**3 + 4*b**2 - 3. Let v be x(3). Let u = -1 + v. Suppose u*l - 77 = -3*s, -5*l + 10*l = 2*s - 18. Is s a multiple of 7? False Suppose 103 = 5*k - c, 4*c = -3*k + 32 + 39. Suppose 0 = -16*h + k*h - 480. Does 16 divide h? True Let u be (-2)/(-8)*0 + 121. Suppose -463 = -3*y - u. Suppose 4*r = 106 + y. Is r a multiple of 16? False Let c(n) = 6*n**2 + 13*n - 6. Let v be c(5). Suppose 4*l - v = -5*s + 76, -5*l - 25 = 0. Does 9 divide s? False Let v = -68 - -102. Let j = v + -29. Is j a multiple of 2? False Suppose 4*m = -2*h + 3*m + 91, -188 = -4*h + 4*m. Is h a multiple of 41? False Suppose 17*n = 14*n + 1425. Is 19 a factor of n? True Let j be 163/15 + -1 - 8/(-60). Suppose 63 = -a + j*a. Is a a multiple of 4? False Suppose 0 = -2*b - 4*u + 24 - 60, 4*u - 72 = 4*b. Let y = 23 + b. Is 5 a factor of y? True Is 26 a factor of (260/24)/(3/36)? True Does 4 divide -2*7593/(-24) - 9/12? True Let u(x) = 6*x - 36. Let r be u(7). Is 3 - (-7)/2*r a multiple of 3? True Let w be 20/(-30) + 106/6. Let n = w - 13. Suppose l = 6*l - 4*p - 395, l = n*p + 95. Is l a multiple of 25? True Suppose 5*w - 3 - 37 = 0. Suppose p = -3 + w. Suppose -3*y = -p*h + 95, -h + 3*y + 7 = -0. Does 21 divide h? False Suppose s + 4 = 8. Suppose -s*n = n - 250. Is 17 a factor of n? False Suppose 21 = -3*b - 129. Let n = b - -61. Is n a multiple of 8? False Let t be 5/((-30)/4)*(-80 - -5). Let z = t + -1. Does 10 divide z? False Suppose 3*q = -0*q + 141. Let d = 81 - q. Is d a multiple of 17? True Let n(r) = -r**3 - 10*r**2 + 16*r + 13. Let o be (6/(-18))/(1/33). Let u be n(o). Let f = 93 + u. Is 31 a factor of f? False Let i(h) = -3*h - 16. Let t be i(-8). Let f = t + 27. Does 7 divide f? True Suppose 4*i + 4*k - 24 = 0, -4*i - 3*k + 44 = -4*k. Is i a multiple of 2? True Suppose -5 = -2*a - 3*p, 2*a + 4*p + 0 = 6. Let c be 5 + 1/((-4)/4). Suppose c = 5*s - a, -37 = -3*o - s. Does 3 divide o? True Let a be (2/((-4)/3))/(3/(-6)). Is 9*60/27*a a multiple of 15? True Let b(g) = 2*g**2 + 2*g + 4. Let n be ((-24)/(-40))/((-1)/(-5)). Let t be b(n). Is 28 a factor of t + ((-6)/(-3) - 0)? False Suppose -3*d = -3, 9*b - 8*b = d + 237. Does 20 divide b? False Let s = -2 - -17. Let r(q) = q**3 - 23*q**2 - 23*q - 21. Let b be r(24). Is b/s + (-98)/(-10) a multiple of 5? True Let i(x) = -x**2 - x + 2. Let k be i(8). Let r = k - -87. Is 3 a factor of r?
{ "pile_set_name": "DM Mathematics" }
ded to 1 dp? -11 Let s = -3475.67 - -3296. Let c = 20 + 162. Let u = s + c. What is u rounded to the nearest integer? 2 Let m = 67 + -48. Suppose -5*u - 3*p = -53994, m*p = -2*u + 23*p + 21608. What is u rounded to the nearest ten thousand? 10000 Let z(g) = 2535*g - 128 - 17658*g + 824*g + 70750*g + 51901*g. Let m be z(-11). Round m to the nearest one hundred thousand. -1200000 Let r be 184032/(-7) + (-11)/((-1232)/32). Round r to the nearest one thousand. -26000 Let q be 102869567/85 + (-1)/5. What is q rounded to the nearest ten thousand? 1210000 Suppose 0 = -4*a + 3*l - 30918901, 0*l = 3*a + 4*l + 23189182. Let g = 4208726 + a. Round g to the nearest 100000. -3500000 Let p = -149 - -163.6. Let k = -14.54 + p. What is k rounded to one decimal place? 0.1 Suppose -5*t + 4*f = 2*f - 819, -2*t = 4*f - 342. Let c = -268 + t. What is c rounded to the nearest ten? -100 Let d = 2248.46 - 1082.64. Let j = -1154 + d. What is j rounded to 1 dp? 11.8 Let y(s) = 11*s**3 - s**2 - s - 8. Suppose 3*f - f = 2. Suppose 0 = i - q - f, -3*i - 4*q = -5*i + 10. Let d be y(i). Round d to the nearest 100. -300 Let x = 429 - 429.024. Let z = -0.135 - -0.11068. Let h = x - z. What is h rounded to 5 decimal places? 0.00032 Let u = 635.0509 + -635. Let d = u + 0.0231. What is d rounded to two decimal places? 0.07 Let w = 88.87 - 89. Let x = w + 0.1299955. What is x rounded to six dps? -0.000005 Let w = 18967.014 + -18967. Let x = 657 - 656.98372. Let b = w - x. What is b rounded to 4 decimal places? -0.0023 Let a be (1356/21)/(-2)*(-21 + 14). Let q = a + 400. Round q to the nearest 100. 600 Let c = 21 - 22.82. Let d = c + 0.66. What is d rounded to 0 decimal places? -1 Let m = 274 + -230. Let d be (-638)/(-8) - 33/m. Round d to the nearest ten. 80 Suppose -q - q + 5*c = -30, 3*q - 11 = -c. Let b be (-61034)/14 - q*(-15)/(-175). Round b to the nearest 100. -4400 Let j = 746 - 612.26. Let n = j - 5.14. Round n to the nearest integer. 129 Let y = 0.23 - 3.53. Let m = y - -3.300331. What is m rounded to 4 decimal places? 0.0003 Let p(c) = 3*c + 69. Let j be p(-23). Let u(i) = 3*i + 2. Let f be u(j). Suppose -3462 = -f*r - l, -l = -5*r - 2*l + 8652. Round r to the nearest 100. 1700 Let u = 3.758284015 + -270.758287695. Let h = 267 + u. Round h to 6 dps. -0.000004 Let r = -2785.6 - -2785.32354. What is r rounded to 2 dps? -0.28 Suppose -93*r = -73*r - 360. Let z be 8/r + 42640/(-36). Round z to the nearest ten. -1180 Suppose 2*p + 12 - 16 = 0. Suppose -p = -q + 1. Let d(l) = 22002*l - 6. Let i be d(q). What is i rounded to the nearest 10000? 70000 Let s = 0.0592 - -93.2108. What is s rounded to the nearest 100? 100 Suppose -22*x - 32*x = 101493000. Round x to the nearest ten thousand. -1880000 Let b = 2.52 - 2.45. Let a = -0.86 - b. What is a rounded to one dp? -0.9 Let s(l) = 16 + 4066*l - 4067*l + 168*l**2 - 1. Let w be s(-5). Round w to the nearest 100. 4200 Let a = -47.096 - -0.096. Let u = a - -46.77. Let s = u + 0.22999846. What is s rounded to 7 dps? -0.0000015 Let k = 0.0914287 - 0.095743. Round k to 5 decimal places. -0.00431 Let f = -825 - -824.953. Let l = -33.951 - -34.1. Let s = l - f. Round s to two decimal places. 0.2 Let g = -272.987669 + 0.057669. Round g to the nearest one hundred. -300 Let l be ((-28145115)/(-6))/5 + (-112)/224. What is l rounded to the nearest 100000? 900000 Let o = 3462 - 3461.1794. Round o to two decimal places. 0.82 Let c(q) = q - 18. Let s be c(12). Let v be (22*2050)/(s/600). What is v rounded to the nearest one hundred thousand? -4500000 Let q = -73 + 77. Suppose 0*x = -x, -4*u + q*x - 2132 = 0. Round u to the nearest one hundred. -500 Let w = -0.0907 + -29.0493. Let v = w + 0.14. Let r = 29.00000027 + v. What is r rounded to seven dps? 0.0000003 Let f be ((-12970)/6)/(3 + 136/(-48)). Let t be (-5 - 0) + f/2. Round t to the nearest 1000. -6000 Suppose -t + 4 = -4*h, 4*t - 4*h - 40 = -12. Let u be (-2 - t)*2364/(-20). What is u rounded to the nearest 100? 1200 Let j be (15/(-6))/((1740/814896)/(-29)). Round j to the nearest one hundred. 34000 Let x = -747849962 - -501359962. Round x to the nearest 1000000. -246000000 Let l(a) = -11*a**3 - a**2 + 34*a + 121. Let v be l(-7). Round v to the nearest one hundred. 3600 Let b = 304.8 - 304.7999997854. What is b rounded to seven decimal places? 0.0000002 Let k = 0.180211182023 - -87773.878799817977. Let c = 87774 - k. Let o = -0.059 - c. Round o to six dps. 0.000011 Let x(b) = 69460*b**2 + 42*b + 204. Let h be x(18). Round h to the nearest one hundred thousand. 22500000 Let m = 31894.3 - 30185. What is m rounded to the nearest ten? 1710 Suppose 0 = -0*c - c - 8. Let i be 1405278/4 + c/(-16). Let t = i - 501320. What is t rounded to the nearest 100000? -200000 Let x = -2136.3953 + 2136. What is x rounded to 2 decimal places? -0.4 Suppose -m + 0*m + 3*v = -11, 5*m - 2*v - 3 = 0. Let w be (-102 - (6 - 8))*(7 - m). Round w to the nearest 100. -800 Suppose 0*n - n = -4*q - 4059229, 3*n = -2*q + 12177729. Suppose 0 = 7*g - 4654457 - n. Let r = -3144814 + g. What is r rounded to the nearest 1000000? -2000000 Let b = -8977.00003801 + 8977. Round b to 6 dps. -0.000038 Suppose -758395 = -16*g + 20*g - 5*s, 2*s + 18 = 0. Round g to the nearest ten thousand. -190000 Let g(z) = z**3 + z**2 + 6. Let y be g(0). Suppose -y*c - 63830 = 7*c. What is c rounded to the nearest one thousand? -5000 Let c = -41.9 - 505.1. Let o = -159 - c. Let h = o + -366.3. Round h to the nearest integer. 22 Let y be (-4135564)/(-36) + 2/9. Suppose y = b + 948. Let i = 12929 - b. What is i rounded to the nearest 10000? -100000 Let i = 55.72293 + -55.472. Round i to 1 decimal place. 0.3 Let j = -48.598155 + 278.5982342. Let f = j + -230. What is f rounded to 5 decimal places? 0.00008 Suppose 0 = -6*r + 2*r + 11196. Suppose -5*d - r = 3*o, 11 = 4*o + 3. Round d to the nearest 100. -600 Let w = 173.5 + -172.021. Let r = -85 - -83.64. Let n = r + w. What is n rounded to two decimal places? 0.12 Let a = 50.4 + -50.4002378. What is a rounded to 5 dps? -0.00024 Let f = -8677.05 + 8358. Round f to the nearest ten. -320 Let u = -851778 - -9055578. What is u rounded to the nearest one hundred thousand? 8200000 Let h = 1493972888368 - 1493972917794.37376882. Let y = -29348.37377 - h. Let s = -78 + y. Round s to 7 decimal places. -0.0000012 Let i = -2072 + 2071.7589. What is i rounded to one decimal place? -0.2 Let i = -0.285 + 0.094. Let z = i - 0.044. Let w = z + 0.1805. What is w rounded to two decimal places? -0.05 Suppose -13*p + 4*p = 43*p - 2609828000. What is p rounded to the nearest 1000000? 50000000 Suppose -4*n - 7 + 23 = 2*j, 4*n - 16 = -5*j. Suppose 5*o = -j*o + 35. Suppose u - o*u = 8040. What is u rounded to the nearest 100? -1300 Let j = 24709 + -23065.3. Round j to the nearest one hundred. 1600 Let j = 0.856534 - -700427.143466. Let q = 700427.95499885 - j. Let h = q - -0.045. Round h to seven dps. -0.0000012 Let i = -24 - -24.031. Let f = -0.076 + i. Let t = 0.835 + f. Round t to 1 decimal place. 0.8 Suppose -x = -2*k + 4033, 2 = -4*k + 18. Let r = -527 - x. Suppose 2*n = -g + r, g + n + 10501 = 4*g. What is g rounded to the nearest one hundred? 3500 Let g = 1.78329937776 + -1.7833. What is g rounded to seven dps? -0.0000006 Let w = 6480.99857 + -6481. Round w to three dps. -0.001 Let x = 254 + -252. Let i(z) = 1943*z**2 + 4*z. Let f be i(x). What is f rounded to the nearest ten thousand? 10000 Let l = 431.95 + -431.9441129. Round l to four decimal places. 0.0059 Let p = -262.0452 - -0.0452. Let v = 262.0312 + p. What is v rounded to 3 decimal places? 0.031 Let a = -0.2481 + 0.26454. What is a rounded to three decimal places? 0.016 Let q = -0.071192 + 0.07204122. What is q rounded to four decimal places? 0.0008 Let s = -3020.24 - -2889.5. Round s to the nearest integer. -131 Let l = 4.56601 - 0.04401. Let t = l + 0.028. Let s = -0.35 + t. Round s to zero decimal places. 4 Let p = -1896.60809 - -1896.7. Round p to three decimal places. 0.092 Let g = 1.49 - 0.15. Let z = -3.71 + g. What is z rounded to the nearest integer? -2 Let p(b) = 2*b + 37. Suppose -3*c + 2*y = 64, -c - 16 = 2*y - 0. Let q be p(c). Let d(l) = 39333*l**2 + 3. Let x be d(q). Round x to the nearest 10000. 350000 Let l = 949.499121 - 949.5. Round l to
{ "pile_set_name": "DM Mathematics" }
s the second smallest value in -5, -2.12, -55, 2? -5 What is the third smallest value in -1/4, -8, -4, 6? -1/4 Which is the fourth smallest value? (a) -2 (b) 0 (c) 0.2 (d) -105 c Which is the smallest value? (a) 0.3 (b) 1 (c) -7/9 (d) 0 c What is the fourth smallest value in -3/7, 34, 10, -1/5? 34 Which is the fourth biggest value? (a) 48/7 (b) 2/7 (c) 0.2 (d) -4 (e) -0.4 e Which is the third biggest value? (a) 6 (b) -0.5 (c) -14 c Which is the biggest value? (a) 0 (b) -9 (c) 0.16 c Which is the second biggest value? (a) 0.041 (b) 3 (c) 2 c What is the smallest value in 0, 362, -4/3, 1? -4/3 Which is the biggest value? (a) -0.04 (b) 1/4 (c) 0.4 c Which is the biggest value? (a) 3/7 (b) 5 (c) 20 c What is the second biggest value in 0.4, 5/3, -3, -86? 0.4 What is the biggest value in 0.5, 3.97, 0.2, 0.13? 3.97 What is the smallest value in -20, 3, 0, 0.2? -20 Which is the biggest value? (a) 1 (b) 758 (c) 1/4 (d) 1/10 b Which is the third smallest value? (a) -5 (b) 0 (c) -58 b Which is the third smallest value? (a) 5 (b) 2/35 (c) -3/7 (d) -220 (e) 3 b Which is the fourth biggest value? (a) -3.3 (b) -60 (c) 0.4 (d) 0 b Which is the third smallest value? (a) -2/9 (b) -4 (c) -33 (d) 0.5 (e) 0.1 a Which is the second biggest value? (a) -1 (b) 2/15 (c) -7 (d) -0.14 d Which is the fourth biggest value? (a) -4 (b) 4/5 (c) 0.4 (d) 0.5 a Which is the third biggest value? (a) -2 (b) -14/3 (c) -3 (d) 6 c Which is the second biggest value? (a) -76 (b) 2/7 (c) -1 (d) -2 c Which is the smallest value? (a) -0.3 (b) 1 (c) 2/11 (d) 10/3 a What is the fourth biggest value in 2, -2, 3, -0.2, -3? -2 Which is the fourth smallest value? (a) 0 (b) -2/11 (c) -2 (d) -92 a Which is the smallest value? (a) -2 (b) 0.4 (c) 2 (d) 4 a Which is the third biggest value? (a) 5 (b) -2/37 (c) 1/2 b Which is the smallest value? (a) 2 (b) -2 (c) 0.1 (d) 5/4 b Which is the third smallest value? (a) -0.2 (b) -3 (c) 269 c Which is the smallest value? (a) 5 (b) 9 (c) -1 c Which is the biggest value? (a) -2.9 (b) 0.07 (c) 4 (d) -4 (e) 7 e Which is the third smallest value? (a) 2 (b) 0 (c) 438 c What is the third smallest value in -3, -1, -5, 0.298? -1 What is the third biggest value in 1/4, 8, -1/4, -1.1? -1/4 Which is the smallest value? (a) 1/3 (b) 15 (c) 1 (d) -3 (e) 2/7 d What is the fourth smallest value in -2.67, 4, -1/8, -0.7? 4 Which is the smallest value? (a) -1/24 (b) -0.018 (c) -3 c Which is the fourth smallest value? (a) -4 (b) 0.09 (c) 0.3 (d) 0.5 d Which is the third biggest value? (a) 6/7 (b) -5 (c) -7/9 (d) 1 c What is the smallest value in -3, 4, -13/5, 1? -3 Which is the third smallest value? (a) 0.02639 (b) -0.3 (c) 0.2 c What is the second smallest value in 0.5, 4/5, 0.2, 0.0444? 0.2 What is the fifth smallest value in -1/2, -0.1, 4.2, -3/2, -7? 4.2 What is the third smallest value in -0.1, 4, -0.12? 4 Which is the second smallest value? (a) -4 (b) -32 (c) 0.2 (d) 1/18 (e) 2 a What is the fourth biggest value in 0.4, 14, -0.4, 0.05? -0.4 Which is the second biggest value? (a) -220 (b) 5 (c) 0.5 c What is the third smallest value in -522, -0.5, 6? 6 Which is the third biggest value? (a) 2/5 (b) -15.9 (c) 1 (d) 2 a Which is the second biggest value? (a) 4484 (b) 0 (c) -0.5 b Which is the third smallest value? (a) -9 (b) -1/2 (c) 0.2 c Which is the biggest value? (a) 1 (b) -475 (c) 0.1 a What is the fourth biggest value in 7/3, -3/7, 0.2, 0.1? -3/7 What is the second smallest value in 127, -2/7, -5, -3? -3 What is the third biggest value in 0.5, 0.1, -0.3, 1/3, 2/37? 0.1 Which is the fourth biggest value? (a) 1 (b) -3 (c) -0.9 (d) -0.03 (e) 2 c Which is the third smallest value? (a) -3 (b) 5 (c) 14 (d) -9 b What is the fifth biggest value in 0.2, 1/2, -1, 64/3, -2? -2 What is the third biggest value in -3/4, 12, 2/7, 0.1? 0.1 What is the second biggest value in 0.5, -172/21, -1? -1 What is the second biggest value in -4, -0.119, 0.1? -0.119 What is the second smallest value in -3/8, -0.3, 0.31? -0.3 What is the third smallest value in 1/4, 5/93, 0.5? 0.5 What is the third smallest value in -5, 0.5, -3, -3/5, 0? -3/5 What is the second smallest value in -13, -8, -2/7? -8 Which is the second smallest value? (a) -1 (b) -6.1 (c) -4/5 (d) -15 (e) 1 b Which is the fourth smallest value? (a) -2 (b) 0 (c) -0.03 (d) 3/5 (e) -3 b What is the biggest value in -5, -16, -6? -5 What is the biggest value in -3/4, -0.2, -0.4, 2/39? 2/39 Which is the fourth smallest value? (a) -4 (b) -1/7 (c) 33 (d) 3/4 c What is the third smallest value in -5, 2/5, 0.04, -2/11? 0.04 Which is the third biggest value? (a) -5/6 (b) -2.3 (c) 0.4 (d) -2 d Which is the smallest value? (a) 4 (b) -2/9 (c) -2 (d) -5 d Which is the second smallest value? (a) -42 (b) 1 (c) -83 (d) 1/6 a Which is the fifth biggest value? (a) -4/3 (b) 1 (c) -0.03 (d) 3 (e) 4/7 a Which is the fourth biggest value? (a) 1 (b) -1/27 (c) 0.5 (d) 12/5 (e) 2 c Which is the third smallest value? (a) 6 (b) 0.1 (c) -0.112 a Which is the fourth smallest value? (a) 3/11 (b) 0 (c) -34 (d) 2/7 (e) -3 a Which is the third biggest value? (a) 1/5 (b) 2/15 (c) -0.9 (d) -4 c What is the smallest value in -5, 3, 0.1, 2? -5 Which is the second biggest value? (a) -2/19 (b) -0.21 (c) 1 a Which is the smallest value? (a) -2 (b) -6 (c) -0.04 (d) -0.4 b Which is the smallest value? (a) 0.5 (b) -288 (c) 1.4 b What is the biggest value in 1/40, 3, 2/15, 5? 5 What is the second biggest value in 2, -2/15, 0.2, -5, 3? 2 What is the third smallest value in -5, -1/672, -1/5? -1/672 What is the second biggest value in -11/4, 0.13, 1/2, 0? 0.13 Which is the third biggest value? (a) 5 (b) -2618 (c) 1 b What is the fourth smallest value in -0.4, 3, 0.3, 4? 4 Which is the second biggest value? (a) -88 (b) 0.1 (c) 0 c Which is the third smallest value? (a) -2 (b) -2.4 (c) 48 c What is the third smallest value in 2, 1, -4, 12? 2 Which is the second biggest value? (a) 5 (b) -29 (c) 2/45 c What is the third smallest value in -0.2, -1, -1/13? -1/13 What is the third biggest value in -251, 3, 2/11? -251 What is the second biggest value in -0.4, 41, -0.5, 1/5, -12? 1/5 Which is the third biggest value? (a) -0.3 (b) -17/4 (c) 6 (d) -2 (e) 2/5 a What is the fourth smallest value in -0.04, 0.3, 8, 2/9, -1/2? 0.3 Which is the biggest value? (a) 2841 (b) 7 (c) 1/5 a What is the third biggest value in -1421, -0.5, -2? -1421 What is the third biggest value in -0.087, 2, -4/9, -6? -4/9 What is the second biggest value in 2/1407, 1, 3, -3? 1 What is the second biggest value in 31, 3, -0.3? 3 Which is the third smallest value? (a) 0.04 (b) 4 (c) 5 c Which is the fourth smallest value? (a) -1.6 (b) -5 (c) 5 (d) 2/13 c Which is the second smallest value? (a) 4 (b) -1.7 (c) -3/4 (d) 1 c What is the third smallest value in -0.23, 2, -3, -1? -0.23 What is the biggest value in 5.23, -4, -0.1? 5.23 What is the biggest value in -5, 1.9, 62.5? 62.5 Which is the second smallest value? (a) -0.5 (b) -7 (c) 0.03 a Which is the third biggest value? (a) 2/29 (b) -0.2 (c) 3/8 (d) 4 a What is the third smallest value in 1.6, -3/7, -5, 2/17, 4? 2/17 What is the fifth biggest value in 5, -2, 1/4, 0.5, -6? -6 What is the second biggest value in 28, -1, -2/11? -2/11 What is the second biggest value in 7, -0.4, -0.5? -0.4 Which is the smallest value? (a) -0.5 (b) 189 (c) -1 c What is the third smallest value in 16.8, -23, -1/2? 16.8 Which is the second smallest value? (a) 2/13 (b) 34 (c) 2/7 c Which is the third biggest value? (a) 1/3 (b) 6 (c) -2/25 c Which is the biggest value? (a) -1/5 (b) -5 (c) 0.3 c What is the third biggest value in -15.8, 5, 3? -15.8 What is the second smallest value in 35, 0.08, -1? 0.08 Which is the smallest value? (a) -2/25 (b) -0.4 (c) -0.226 b What is the second biggest value in -5, 1/6, -4, -19? -4 What is the third smallest value in -32, -4, 4? 4 What is the third biggest value in -2, 610, -3, 0.2? -2 What is the second smallest value in -1/4, -264, 2/59? -1/4 Which is the third smallest value? (a) -1/58 (b) -3/4 (c
{ "pile_set_name": "DM Mathematics" }
rmine -2*c(p) + 5*u(p). 2*p**2 + 29*p Let q(g) = 6*g - 4. Let j(k) = -32 + 66 - 35 + 2*k. What is -7*j(y) + 2*q(y)? -2*y - 1 Let p(k) = 7*k**3 - k**2 - 2*k + 3. Let d(m) be the second derivative of m**5 - m**4/6 - 5*m**3/6 + 4*m**2 + 49*m. Determine -3*d(q) + 8*p(q). -4*q**3 - 2*q**2 - q Let x(t) = 5*t**2 + 2. Let k(y) = y**3 + 9*y**2 + 4. Give -3*k(d) + 5*x(d). -3*d**3 - 2*d**2 - 2 Suppose n + 3*a + 18 = -2*a, 0 = a + 3. Let t = -6 - -5. Let b(c) = -c**2 - 4*c - 3. Let s(v) = v**2 + v + 1. What is n*s(h) + t*b(h)? -2*h**2 + h Let m(g) = -g**3 - g**2 + g. Let k(l) = 20*l**3 + 25*l**2 - 25*l. Determine -3*k(r) - 75*m(r). 15*r**3 Let l(d) be the third derivative of d**5/10 - d**3/3 - 2*d**2. Let z(v) = 5*v**2 - 2. Determine 3*l(x) - 4*z(x). -2*x**2 + 2 Let t = -28 - -31. Let v(f) = -3*f**3 - 5*f**2 + 5. Let q(u) = -2*u**3 - 4*u**2 + 4. What is t*v(l) - 4*q(l)? -l**3 + l**2 - 1 Let a(z) = 17*z - 1. Let b(x) = -6*x. What is 4*a(t) + 11*b(t)? 2*t - 4 Let s(l) = -10*l**2. Let c(p) = p**2. Give -15*c(y) - 3*s(y). 15*y**2 Let g(j) = 11*j**3 - 4. Let y(s) = -21*s**3 + 7. What is -5*g(m) - 3*y(m)? 8*m**3 - 1 Suppose -z - 88 = -23*z. Let d(x) = -6*x**2 - 3*x. Let j(i) be the second derivative of 7*i**4/12 + i**3/2 + i. Give z*j(c) + 5*d(c). -2*c**2 - 3*c Let z(q) = q - 2. Let x be z(2). Let g(b) = 1 + x*b**2 + b**2 - 3. Let m(c) = 4*c**2 + c - 7. Calculate -7*g(o) + 2*m(o). o**2 + 2*o Let l(z) = -z**2 + 4*z - 2. Let f(h) = h**2 - h + 1. Calculate 3*f(j) + l(j). 2*j**2 + j + 1 Let j(d) = 2*d - 1. Let q(k) = 3*k - 2. Let l be 30/4*12/(-18). What is l*q(u) + 8*j(u)? u + 2 Let y(t) be the second derivative of -t**2/2 + 4*t. Let f(u) = -u**3 - 5. Suppose -4*x = -3*x + 3. Let g be ((-1)/(-2))/(1/2). Determine g*f(w) + x*y(w). -w**3 - 2 Let c(q) = q**3 - 3*q**2 - 4*q - 3. Let f(d) = -3*d**3 + 8*d**2 + 11*d + 10. What is -11*c(j) - 4*f(j)? j**3 + j**2 - 7 Let c(y) = -y**3 - y**2 - y - 2. Suppose 5*u = -0*u - 3*g - 1, -2*u + 6 = -2*g. Let s(w) = w + 1. Determine u*c(z) + 2*s(z). -z**3 - z**2 + z Suppose -u = 13 - 15. Let b(r) = 88*r**3 - 86*r**3 - 3 + r**2 + 2*r**u. Let a(p) = -5*p**3 - 7*p**2 + 7. What is 6*a(v) + 14*b(v)? -2*v**3 Let l(v) = -3 + 4*v**2 - 429*v + 429*v. Let a(c) = -21*c**2 - 9*c + 22. Let f(s) = 11*s**2 + 4*s - 11. Let u(n) = 4*a(n) + 9*f(n). Give -22*l(x) + 6*u(x). 2*x**2 Let f = 4 - 2. Let b(j) = -2*j. Let p(n) = -5*n + 1. Determine f*p(t) - 6*b(t). 2*t + 2 Let h(f) = -2*f**3 + 6*f**2 + 6*f - 2. Let y(x) = x**3 - 5*x**2 - 5*x + 2. Give 3*h(i) + 4*y(i). -2*i**3 - 2*i**2 - 2*i + 2 Let x(n) = n + 1. Let h(v) = v + 11. Give -h(f) + 2*x(f). f - 9 Let j(k) = -8*k - 80. Let o(f) = 2*f + 20. What is 2*j(h) + 9*o(h)? 2*h + 20 Let h(u) = 7*u**3 - 3*u**2 + 6*u + 8. Let r(p) = -13*p**3 + 5*p**2 - 11*p - 15. Determine -11*h(v) - 6*r(v). v**3 + 3*v**2 + 2 Let f(y) = -92*y**3 + 3*y**2 - 3*y. Let i(n) = -275*n**3 + 8*n**2 - 8*n. Determine 8*f(b) - 3*i(b). 89*b**3 Let z(g) = g**3 + g**2 - g + 1. Let d(k) = 6*k**3 + 4*k**2 - 5*k + 6. Suppose 0 = -5*n - 4*l + 1, -4*l + 2 = 3*n + 3. Give n*d(j) - 4*z(j). 2*j**3 - j + 2 Suppose -4*t + 0 - 4 = 0. Let m(c) = c**3 - 29*c**2 + 29*c - 29. Let a be m(28). Let k(b) = 1. Let i(d) = 2*d - 2. Calculate a*k(w) + t*i(w). -2*w + 1 Let b(v) = 5*v**2 - v + 2. Let t(n) = -n. Give -b(q) + 4*t(q). -5*q**2 - 3*q - 2 Let z(c) = c - 1. Let t(v) = -v**2 - 3*v + 9. Let q(x) = t(x) + 5*z(x). Let l(m) = -m - 1. Calculate -3*l(d) - q(d). d**2 + d - 1 Let x(z) = -z. Let t(n) = -7*n + 1. Determine t(f) - 6*x(f). -f + 1 Let c(p) = 3*p - 15. Let i(s) = 1. What is c(b) + 15*i(b)? 3*b Let c(r) = -4*r + 3. Let y(v) = -9*v + 7. Suppose 4*q = 2*b - 14, 5 = -2*q + 2*b - 5. Calculate q*y(f) + 5*c(f). -2*f + 1 Let a(q) = 128*q**2 - 61*q**2 - 1 - 2*q - 69*q**2. Let o(p) = p. Calculate -a(z) - 4*o(z). 2*z**2 - 2*z + 1 Let f(p) = 53*p**2 - 4*p + 4. Let j(a) = a**2 - a + 1. Determine -f(n) + 4*j(n). -49*n**2 Let j(a) = -7*a**2 + a - 1. Suppose -20*c + 16*c - 28 = 0. Let b(h) = -8*h**2 + h - 1. Determine c*j(i) + 6*b(i). i**2 - i + 1 Let q(s) = 3*s**3 + 8*s. Let u(g) = -9*g - 63*g**3 + 124*g**3 - 63*g**3 + 2*g. Determine 4*q(h) + 5*u(h). 2*h**3 - 3*h Let r(h) = -6*h**3 - 5*h**2 - 4*h - 2. Let p be 2/(-9) - 29/(-9). Let y = p - 7. Let d(v) = -13*v**3 - 11*v**2 - 9*v - 5. Calculate y*d(a) + 9*r(a). -2*a**3 - a**2 + 2 Let p be (9 - 4)*(1 + 0). Let b(c) = 3*c**3 - 3*c**3 + c**2 + 7*c**3 - 6*c**2. Let o(j) = -6*j**2 - 5*j + 23*j**3 - 15*j**3 + 5*j. Calculate p*o(m) - 6*b(m). -2*m**3 Let d(n) = n + 2. Let x(p) = p**2 + 2*p + 5. Give -8*d(a) + 3*x(a). 3*a**2 - 2*a - 1 Let g(w) = w. Let a(h) = -3*h**2 + 2*h**2 - h - 2*h - 1. Let i(b) = b + 27. Let l be i(0). Suppose -z = 5*u - l, 2*z + 4 = u + 3. Calculate z*a(q) + 5*g(q). -2*q**2 - q - 2 Let x(r) = -r**2. Let a = -24 - -26. Let d(i) = -i**2 - 1. What is a*d(n) - 5*x(n)? 3*n**2 - 2 Let q(t) be the second derivative of -t**3/6 - 2*t. Let o(l) = -l**2 + 7*l - 4. Let n be o(6). Let m(v) = 3*v. Calculate n*q(j) + m(j). j Let z(i) = -i**2 - 3*i - 7. Let x(b) = b**2 + b + 4. Calculate -5*x(o) - 3*z(o). -2*o**2 + 4*o + 1 Let x(f) = 2*f**2 - 8*f + 3. Let b be x(3). Let z(j) = -j**2 + 4*j - 6. Let w(v) = -3*v + 5. Determine b*z(u) - 4*w(u). 3*u**2 - 2 Let b(u) = -2*u**3 - 5*u**2 + 9. Let h(c) = 2*c**2. Let n be h(1). Let s be (-37)/5 + n/5. Let v(a) = a**3 + 3*a**2 - 5. What is s*v(z) - 4*b(z)? z**3 - z**2 - 1 Let o(a) = -5*a - 810*a**2 - 2*a**3 + 810*a**2. Let d(k) = -2*k**3 - 4*k. What is 5*d(v) - 4*o(v)? -2*v**3 Let y(p) = p**3 + 4*p**2 + 3*p + 7. Let l be y(-4). Let v(r) = -2*r**2 - 2. Let h(m) = 4*m**2 + m + 5. Calculate l*v(t) - 2*h(t). 2*t**2 - 2*t Let o(l) = 7*l - 5. Let z(x) = -x + 1. Let t(a) = o(a) + 6*z(a). Let i(v) = v. Give i(g) + t(g). 2*g + 1 Let c(k) = 27*k - 1. Let g(d) = -82*d + 3. Calculate -11*c(l) - 4*g(l). 31*l - 1 Let o(z) = -z + 1. Let u(t) be the second derivative of -t**5/10 - t**3 + 2*t**2 - 8*t. Determine 4*o(y) - u(y). 2*y**3 + 2*y Let l(i) = 7*i**2 + 4*i + 4. Let f(w) = 20*w**2 + 11*w + 9. Let h(s) = 40*s**2 + 22*s + 17. Let u(y) = 5*f(y) - 2*h(y). What is 11*l(c) - 4*u(c)? -3*c**2 Let q(y) = 5*y + 1. Let d(z) = 0 - 4*z - 2 - 5*z. Let p be (-56)/12 - (100/(-15) - -5). Determine p*d(r) - 5*q(r). 2*r + 1 Let v = 15 + -16. Let l(c) = -c - 1. Let b(w) = -15*w**2 + 15*w + 15. Let n(r) = v*b(r) - 2*l(r). Let q(u) = -7*u**2 + 6*u + 6. Give 6*n(y) + 13*q(y). -y**2 Let m(c) = -5*c**3 - 3*c**2 + 2*c + 2. Let t(h) = -h**3 + 1. Let o(u) = m(u) - 4*t(u). Let r(q) = q**3 + q**2 - 4 - 1 + 5 + 1. Give -o(b) - 3*r(b). -2*b**3 - 2*b - 1 Let l(y) = -4*y**2 - 7*y + 13. Let g(j) = -2*j**2 - 4*j + 7. Determine 11*g(p) - 6*l(p). 2*p**2 - 2*p - 1 Let h(z) = 2*z**2 + z - 2. Let q(k) = -3. Let y(x) = -4. Let t(l) = -7*q(l) + 5*y(l). Give -h(d) - 4*t(d). -2*d**2 - d - 2 Let t(u) = 6*u + 6. Suppose -n = n - 6. Suppose -4*i + n*i = -10. Let h(g) be the third derivative of -g**4/12 - g**3/3 - g**2. Calculate i*h(c) + 3*t(c). -2*c - 2 Suppose -10*w = 5 - 35. Let g(i) = -4*i**2 - i - 2. Let v(k) = 3*k**2 + 1. Calculate w*v(z) + 2*g(z). z**2 - 2*z - 1 Let z(s) = -s**2 - 13*s - 14. Let w be z(-13). Let t(v) = -2*v - 7. Let a(j) = 6*j + 20. Calculate w*t(d) - 5*a(d). -2*d - 2 Let t(r) = 3*r + 2. Let i(x) = x**3 + 5*x**2 + 4*x + 2. Let a be i(-2). Let y(o) = -2 - 28*o - a - 3 + 12*o. Calculate -11*t(v) - 2*y(v). -v Let f(b) = -6 - b - b + 6*b - b. Let h(g) = -g + 2. Let n be ((-4)/6)/((-6)/99). Give n*h(t) + 4*f(t). t - 2 Let o(s) be the first derivative of -2 - 4/3*s**3 + 1/2*s**2 + 3*s. Let q(i) = -i**2 + 1. Give -o(v) + 5*q(v). -v**2 - v + 2 Let n(y) = y**2 + y. Let t(j) = 2*j**2 + 4*j - 1. Suppose 7*w + z + 5 = 2*w, -2*w - 24 = -4*z. Let v be 9/(w - 1) - -5. Determine v*t(i) - 6*n(i). -2*i**2 + 2*i - 2 Let h(w) = 5*w**2 + 2*w - 24. Let v(m) = -m**2. What is h(l) + 6*v(l)? -l**2 + 2*l - 24 Let m = -4 - -5. Let q be -1 + 0 + (-1 - m). Let i be (-2)/q*(-27)/(-6). Let j(g) = 5*g + 1. Let d(h) = -6*h - 1. Calculate i*d(z) + 4*j(z). 2*z + 1 Let a(s) be the second derivative of s**2/2 - s. Let u(q) be the second derivative of -q**3/3 - q**2/2 + 21*q. Suppose 0 = -2*l + 3 - 1. Give l*u(k) + 2*a(k). -2*k + 1 Let s(k) = k**2 - 1. Let x(j) = -2*j - 6 + 6*j**2 + 1 + j**3 + j - 3*j**3. Calculate 6*s(d) - x(d). 2*d**3 + d - 1 Let v(
{ "pile_set_name": "DM Mathematics" }
b = 52 - 261/5. Sort 1.3, -0.1, g, b in increasing order. g, b, -0.1, 1.3 Let t(c) = -7*c + 1. Let g be t(-1). Suppose -3*z - 3*w = -g + 2, -w - 4 = 3*z. Sort 4, z, 3. z, 3, 4 Let j(c) = c - 9. Let o be j(5). Let q = -300 + 297. Put q, -2, o in ascending order. o, q, -2 Suppose 5*j = -3*w + 22 + 5, 0 = 4*j - w - 8. Suppose 5*v - m - 9 = 7, -5*m = -5*v. Let d = -3 + v. Put 4, d, j in decreasing order. 4, j, d Let d = 3.1 - 1.1. Let l(f) be the second derivative of f**4/12 + f**3/2 - 2*f**2 - 16*f. Let x be l(-5). Sort 0, x, d in descending order. x, d, 0 Let o = 29 - 29. Sort -9, 2, o. -9, o, 2 Suppose p - 90 = -2*g + 6*p, -255 = -5*g + 5*p. Let v = 51 - g. Sort 0, -2, v. v, -2, 0 Let l be (38/(-475)*10)/((-2)/10). Suppose -4*n + 24 = -2*y, 0 = -n - n + 2*y + 14. Put l, 2, n in decreasing order. n, l, 2 Let d = -42 + 41.98. Sort d, 1, 3/7 in decreasing order. 1, 3/7, d Let p = -33.91 + 34. Sort -0.3, -4, p in descending order. p, -0.3, -4 Let x = -91 - -90. Let i = x + -2. Sort 0.2, 5, i in descending order. 5, 0.2, i Suppose 123*v - 32 = 115*v. Put 1, v, 2, -2 in ascending order. -2, 1, 2, v Suppose 2*c = 5*q + 73, c - 5*q = 3*c - 23. Let d be (-12)/9*(-24)/(-32). Put c, -2, d, -5 in descending order. c, d, -2, -5 Suppose 4*w = w + 54. Suppose 3*i - 4*n = w, 2*n + 2*n + 2 = -5*i. Let d be (-40)/16*16/(-10). Put -3, d, i in increasing order. -3, i, d Suppose 3*i + 52 = -i. Let t = i + 16. Suppose 4*y = -5*r - 22, -t*y + 2 = -4*r - y. Put -3, 2, r in decreasing order. 2, r, -3 Suppose 3*n + g + 37 = n, 5*n = -5*g - 85. Let x = n + 24. Sort -32, x, 3 in decreasing order. x, 3, -32 Suppose 5*u - 42 = c, u + 3*c = -3*u + 26. Suppose u = -3*a + 7*a. Let b be (0 - 1) + (-6)/(-1). Sort -2/7, a, b in descending order. b, a, -2/7 Let t = 15.85 - -4.15. Put 5, t, -1 in ascending order. -1, 5, t Let y = -25.6 + 25.5. Sort 36, -3, -2, y. -3, -2, y, 36 Let u = 4 - 1. Let g = -4159 + 4164. Sort 7, u, -4, g. -4, u, g, 7 Let j = -43 + 45. Sort -10, 5, j, -4 in increasing order. -10, -4, j, 5 Suppose -5*l = 14*d - 9*d - 65, 4*d + 3*l = 53. Put d, -4, -18 in descending order. d, -4, -18 Let z be ((-16)/3)/4 - 8/(-24). Let m be z/(-6) + (-8)/16. Sort 5, -2/17, m. m, -2/17, 5 Let n = -0.11 - -0.28. Let m = 812 + -812. Sort n, -5, m in ascending order. -5, m, n Let h = 305 + -609/2. Let n = -1 - -1.2. Let u = 1/145 - -577/435. Put n, h, u in descending order. u, h, n Suppose -21*a - 48 = 3*a. Suppose 3*g - 8 = -4*j, -2*g + j - 33 = -4*j. Sort g, 2, 5, a in ascending order. g, a, 2, 5 Let r(k) = -k**3 - 4*k**2 - 2*k + 2. Let z be r(-2). Let d(c) = -c**2 + 23*c - 127. Let q be d(14). Sort q, 5, -4, z. -4, z, q, 5 Let r(u) = u**3 - 5*u**2 - 25*u + 128. Let p be r(5). Put -3, 5, 30, p in decreasing order. 30, 5, p, -3 Let t be (-10)/(-92)*(-10)/(-75). Put t, 0, 2/9, -2 in increasing order. -2, 0, t, 2/9 Suppose 21 = -2*j + 5*j. Suppose 5*q + 6 = -4*k, -6*q + 1 = -4*q + 5*k. Suppose -4*n = n. Sort q, n, j in decreasing order. j, n, q Let g = 15 + -11. Let l = 21 - 17. Let v be -3 + (l - (-15)/(-6)). Put 1/6, v, g in decreasing order. g, 1/6, v Let v = 13.12 - 10.12. Sort -0.03, -5, v. -5, -0.03, v Let q = -1038 - -1023. Sort 0, -3, -5, q in increasing order. q, -5, -3, 0 Let h be (3/4)/((-3)/(-2)). Let d(b) = b**2 - 7*b. Let p be d(7). Suppose y + 4 = p, 3*i - 2 = -y + 9. Put -0.2, h, i in descending order. i, h, -0.2 Let j = -11.8 - -17.5. Let d = j + -3.7. Put d, -4, 6 in descending order. 6, d, -4 Suppose 0 = 6*m - 4*m + 2*q + 6, -3 = q. Sort -5, m, 8 in descending order. 8, m, -5 Suppose 6 = -12*f + 30. Put -108, f, 4 in increasing order. -108, f, 4 Let p = -2 - -24. Let u be 0 + 2 - (-5 + p). Let i = -73/5 - u. Put i, -3, 2 in decreasing order. 2, i, -3 Let x be (-9)/(-8)*8/(-6). Let o = 1734 - 1739. Put x, o, -0.4, 2 in decreasing order. 2, -0.4, x, o Let z = 26.3 + -26.4. Put -4, z, -0.4, 76 in ascending order. -4, -0.4, z, 76 Let y = 390.8 + -391. Let r = 2 + -2. Sort r, y, 0.4 in decreasing order. 0.4, r, y Let f be 6/8 - 1/(-4). Let t = -201/145 + 46/29. Put f, t, -5, 2/3 in descending order. f, 2/3, t, -5 Let g be ((-4)/(-20))/(7/70). Sort 0, 10, -2, g in decreasing order. 10, g, 0, -2 Let l be (-185 - -1)*10/10. Let f = -2022/11 - l. Let m = 0.57 - 0.37. Sort m, 3, f. f, m, 3 Let c = 0.1 - 1.1. Let h = c + 7. Let l = 269 + -271. Put h, 2/17, l in decreasing order. h, 2/17, l Let v = -430159/283 - -1520. Let f = -857/2264 + v. Put -1, 2/5, f in increasing order. -1, f, 2/5 Let o = 0.12 + -0.02. Put -2/15, -170, o in increasing order. -170, -2/15, o Let z = 2543/2028 - 2/507. Let l = -178/395 - -4/79. Sort -1, l, z. -1, l, z Suppose -2*c - 2*c = -h - 4, 0 = -5*h + 3*c + 31. Suppose -h = 23*x - 21*x. Sort 3, x, -3, 0 in decreasing order. 3, 0, -3, x Suppose -3*s + 0*s = -6. Let k be -3 + 0 - s/1. Let v be -2 + k/(-9)*3. Sort v, -0.5, 4 in descending order. 4, v, -0.5 Let o be 145/(-30) - 7/42. Sort 1, -2, o, 7. o, -2, 1, 7 Let p = -852 + 849. Put 4, p, -6, -4 in descending order. 4, p, -4, -6 Let b(f) = 2*f**3 + 35*f**2 + 150*f + 4. Let c be b(-10). Let n(h) = -h**2 + 5*h + 5. Let y be n(5). Sort 2, y, -2, c in descending order. y, c, 2, -2 Let h = 0.1 - -3.9. Let i = h - 6. Let r = 0.3911 - -0.0089. Put -0.3, r, i in decreasing order. r, -0.3, i Let w = 314 + -226. Sort w, -4, -5 in ascending order. -5, -4, w Let w = -0.456 - -0.156. Let x = 37.8 + -38. Sort x, 0, -3/2, w in decreasing order. 0, x, w, -3/2 Suppose -a - 6 = -4*a. Let b = -5 + a. Suppose -10*j - 4*j = 0. Put j, 5, b in descending order. 5, j, b Let a = -1.2 + 2.6. Let w = -174 + 181.4. Let m = w - a. Put m, 1/2, 1 in increasing order. 1/2, 1, m Let i(x) = -x**2 + 7*x - 8. Let l be i(5). Suppose 3*b = 5*v + 23, -b + 13 = -3*v - 0*b. Let g be v + (3 - 4) + 1. Sort l, g, 4 in ascending order. g, l, 4 Let m be (2 - 24)/((-4)/14). Put -2, 4, m in descending order. m, 4, -2 Let q = 68.58 + 0.42. Let z = q + -66. Put 2, 1.3, z, -1/4 in descending order. z, 2, 1.3, -1/4 Let l = 23 - -3. Let q = -1.18 + -3.82. Sort l, 2/5, q in ascending order. q, 2/5, l Suppose -4*y = -9 - 3. Suppose 2*j - 4 = j, 82 = -2*k + 4*j. Let i be (-6)/k - (-4)/(-22). Sort i, y, 2 in ascending order. i, 2, y Let n(r) = r**3 + 6*r**2 + 5*r - 3. Let p = -46 + 41. Let d be n(p). Let l = -7 - -5. Sort l, 5, d in ascending order. d, l, 5 Suppose -211*r = -198*r - 39. Sort r, 0.2, -3/10 in decreasing order. r, 0.2, -3/10 Suppose 67 = 2*m + 5*d + 8, 5*m - 138 = -3*d. Let l = -27 + m. Sort 5, -6, l in ascending order. -6, l, 5 Let c = 40 + -60. Let b = c + 16. Let m = 335/8 + -42. Sort b, m, 0 in ascending order. b, m, 0 Let x be 3 - (885/135 - (-12)/27). Suppose -4*l - 9 = 11. Sort 67, l, x. l, x, 67 Let r = -8.9 + -39.1. Let j = r + 48.2. Put 6/19, j, -3, 0 in descending order. 6/19, j, 0, -3 Suppose -5*q + 7*q = -3*m - 4, -5*m = -5*q + 40. Sort -5, 1, m, -3. -5, m, -3, 1 Let s = -0.205 - 66.995. Let d = -67 - s. Sort d, -3, 7, -0.1 in increasing order. -3, -0.1, d, 7 Let t = 643 + -632. Sort 15, 5, t in decreasing order. 15, t, 5 Let i(p) = -8*p**2 + 4*p + 4. Let g be (-13 + 10)*(-2)/2. Let b be i(g). Let j = b + 335/6. Sort 0, -4, j. -4, j, 0 Let k = 12.55 - 12.42. Sort 1/3, -0.5, k in ascending order. -0.5, k, 1/3 Let h = 3 - 3.3. Let j = 229/4 + -58. Let l = 4.8 + -0.8. Put j, h, l in ascending order. j, h, l Let o = 989 - 987. Put -11, -0.3, o in ascending order. -11, -0.3, o Let i = 5 + -4.91. Let w = -0.16 + i. Let z = w + 0.57. Sort z, 5, -3/2 in increasing order. -3/2, z, 5 Let z = -0.0738 - -0.2738. Let w = -0.06 + 4.06. Sort z, w, -0.4, -4. -4, -0.4, z, w Suppose -3*h = -5*k + 44 - 129, 0 = 4*k + 5*h + 68. Sort 0, -2, k in ascending order. k, -2, 0 Let r = 0.5 + -4.5. Let u = -15045/2 + 7523. Sort r, u, 0.2, -7 in ascending order. -7, r, 0.2, u Let m be 2/6*(1 - -2). Let f(b) = -b**2 + 23*b + 26. Let h be f(24). Suppose -h*j + 11*j - 45 = 0. Sort 0, j, m. 0, m, j Let m be 0 + ((-119)/42 - -3). Let l = 12 + -7. Sort -1, l, m in decreasing order. l, m, -1 Let y = -1.863 - -1.9. Let n = -1.037 + y. Sort 2/5, -0.3, n, 0.2 in decreasing order. 2/5, 0.2, -0.3, n Let t(m) = m**3 + 18*m**2 + 17*m + 19. Let s be t(-17). Suppose -125 - 46 = -s*w. Sort 4, 2, w. 2, 4, w Suppose p - 5*p - k + 23 = 0, 0 = p + 2*k - 11. Let r(c) = 7
{ "pile_set_name": "DM Mathematics" }
4 Calculate prob of picking 1 c and 3 a when four letters picked without replacement from aaaaacaaaaac. 16/33 Two letters picked without replacement from hhhgghhhgghhhg. What is prob of picking 2 g? 10/91 Two letters picked without replacement from jjacacdccab. Give prob of picking 1 a and 1 j. 6/55 Calculate prob of picking 2 u when two letters picked without replacement from lulluull. 3/28 What is prob of picking 1 z and 1 v when two letters picked without replacement from {h: 1, v: 2, d: 3, z: 7, m: 1}? 2/13 Three letters picked without replacement from mmmmm. Give prob of picking 3 m. 1 Three letters picked without replacement from {g: 1, v: 4, l: 3, r: 5}. Give prob of picking 1 v and 2 r. 20/143 Calculate prob of picking 1 v, 1 u, and 1 k when three letters picked without replacement from okoooaaouvoovapoovoo. 1/380 What is prob of picking 1 n, 1 d, and 1 q when three letters picked without replacement from dnyynndqnnwyywww? 1/56 What is prob of picking 1 p and 1 j when two letters picked without replacement from {t: 1, p: 1, j: 1, v: 7, y: 2, g: 2}? 1/91 Two letters picked without replacement from {v: 2, w: 10, u: 1, b: 3, c: 1, t: 2}. Give prob of picking 1 u and 1 w. 10/171 Three letters picked without replacement from {b: 3, z: 4, i: 2, o: 3, a: 3, g: 1}. Give prob of picking 1 b and 2 i. 3/560 Two letters picked without replacement from {p: 6, e: 3, t: 2, x: 1}. Give prob of picking 1 t and 1 x. 1/33 Three letters picked without replacement from wlxlavx. Give prob of picking 1 a and 2 l. 1/35 What is prob of picking 1 z, 1 p, 1 a, and 1 r when four letters picked without replacement from {z: 2, p: 4, w: 3, q: 1, r: 1, a: 1}? 8/495 Three letters picked without replacement from xdddddtxddtdxxtt. Give prob of picking 1 t, 1 d, and 1 x. 8/35 Four letters picked without replacement from aaanaannnnaaannanna. Give prob of picking 2 n and 2 a. 135/323 Calculate prob of picking 1 q and 1 h when two letters picked without replacement from qqyqquhygh. 8/45 Calculate prob of picking 2 q when two letters picked without replacement from pqqpqgrgr. 1/12 What is prob of picking 2 h when two letters picked without replacement from {h: 8, m: 5}? 14/39 Three letters picked without replacement from gzgvrzyyrgrvvrvy. What is prob of picking 2 v and 1 y? 9/280 What is prob of picking 1 o and 1 h when two letters picked without replacement from dhhgo? 1/5 Calculate prob of picking 1 x and 1 r when two letters picked without replacement from {p: 3, m: 3, r: 3, x: 2, c: 1, v: 7}. 2/57 Two letters picked without replacement from zep. What is prob of picking 1 e and 1 z? 1/3 Two letters picked without replacement from rczrrrccr. Give prob of picking 1 r and 1 z. 5/36 Two letters picked without replacement from gjggggzmz. Give prob of picking 1 m and 1 j. 1/36 Two letters picked without replacement from zvdvyvdgyvvvzlv. Give prob of picking 2 v. 1/5 Calculate prob of picking 1 u and 1 o when two letters picked without replacement from {q: 2, u: 1, o: 4}. 4/21 Two letters picked without replacement from bbbbbbbbbsbbbsbbbs. What is prob of picking 1 s and 1 b? 5/17 Three letters picked without replacement from {w: 2, a: 1, e: 1, o: 5}. What is prob of picking 2 o and 1 e? 5/42 Three letters picked without replacement from {y: 1, j: 1, g: 2, e: 1}. Give prob of picking 1 j and 2 g. 1/10 What is prob of picking 1 b and 1 q when two letters picked without replacement from {q: 3, b: 5, s: 4}? 5/22 Two letters picked without replacement from wawwawjjwwjwwwjwjwww. Give prob of picking 1 w and 1 a. 13/95 Calculate prob of picking 1 e and 1 j when two letters picked without replacement from ehhmjzm. 1/21 Two letters picked without replacement from {u: 10, o: 3, z: 2, p: 3}. Give prob of picking 1 o and 1 u. 10/51 Three letters picked without replacement from {w: 3, l: 2, k: 5, s: 2, j: 3}. What is prob of picking 1 l, 1 j, and 1 k? 6/91 Calculate prob of picking 1 j and 1 k when two letters picked without replacement from {k: 2, d: 1, j: 1, f: 3}. 2/21 What is prob of picking 1 h and 2 j when three letters picked without replacement from jjhhkjqjjjhqjjjj? 27/112 Three letters picked without replacement from {y: 15, c: 3}. Give prob of picking 1 y and 2 c. 15/272 Three letters picked without replacement from {m: 3, p: 4, j: 2, l: 7, e: 2}. What is prob of picking 2 p and 1 e? 1/68 Four letters picked without replacement from {j: 5, f: 7, v: 8}. Give prob of picking 2 j and 2 f. 14/323 Two letters picked without replacement from {j: 3, o: 13}. What is prob of picking 2 o? 13/20 What is prob of picking 3 j when three letters picked without replacement from {j: 9}? 1 What is prob of picking 3 w when three letters picked without replacement from hwhwwwww? 5/14 Two letters picked without replacement from {f: 7, c: 2}. Give prob of picking 2 f. 7/12 Calculate prob of picking 1 g and 1 n when two letters picked without replacement from znglwna. 2/21 Four letters picked without replacement from {l: 1, f: 6, g: 5, k: 4}. What is prob of picking 1 g, 1 k, and 2 f? 15/91 Two letters picked without replacement from zayzd. What is prob of picking 1 y and 1 z? 1/5 What is prob of picking 3 h when three letters picked without replacement from kghhhhhgkg? 1/12 Two letters picked without replacement from {c: 9, x: 2}. What is prob of picking 2 x? 1/55 Four letters picked without replacement from {g: 9, s: 3}. What is prob of picking 3 s and 1 g? 1/55 Three letters picked without replacement from aayiyfaafaaaiyaafa. What is prob of picking 2 a and 1 i? 15/136 Calculate prob of picking 1 u and 1 v when two letters picked without replacement from vuuuzuuzvroovururrvv. 7/38 Three letters picked without replacement from {i: 4, y: 3}. Give prob of picking 3 y. 1/35 Four letters picked without replacement from {o: 3, t: 3, y: 6, c: 3, x: 2}. Give prob of picking 1 t, 1 y, and 2 o. 27/1190 Calculate prob of picking 2 u, 1 l, and 1 f when four letters picked without replacement from {f: 1, g: 4, u: 5, l: 6}. 3/91 Three letters picked without replacement from miiiiiiiimi. What is prob of picking 1 m and 2 i? 24/55 Two letters picked without replacement from mppymvvko. Give prob of picking 1 m and 1 o. 1/18 Four letters picked without replacement from {w: 4, r: 1, z: 2}. Give prob of picking 2 z and 2 w. 6/35 Calculate prob of picking 1 y and 1 p when two letters picked without replacement from pyypdyypdpyypyppyp. 64/153 Three letters picked without replacement from {l: 3, s: 1, z: 1, a: 3, r: 2}. Give prob of picking 2 r and 1 l. 1/40 What is prob of picking 2 o when two letters picked without replacement from {o: 6, r: 4, t: 1}? 3/11 Calculate prob of picking 4 l when four letters picked without replacement from {l: 10, s: 2}. 14/33 Two letters picked without replacement from uquqquucac. What is prob of picking 1 a and 1 q? 1/15 What is prob of picking 2 b when two letters picked without replacement from {o: 4, b: 2, f: 1, h: 3, k: 2}? 1/66 Two letters picked without replacement from {k: 2, z: 1, x: 2, u: 5, p: 2, f: 1}. What is prob of picking 1 z and 1 k? 1/39 Two letters picked without replacement from bwwzzzzwzf. What is prob of picking 1 w and 1 f? 1/15 Four letters picked without replacement from {l: 3, r: 1, k: 5, c: 7}. Give prob of picking 1 r, 2 c, and 1 k. 3/52 Two letters picked without replacement from aosauauaaausuussu. Give prob of picking 1 u and 1 o. 3/68 Two letters picked without replacement from fofoozzzzo. Give prob of picking 2 f. 1/45 Calculate prob of picking 3 f and 1 m when four letters picked without replacement from mmlhkhkfhhfmfhhfhhk. 1/323 Two letters picked without replacement from {u: 7, o: 2}. What is prob of picking 2 u? 7/12 Calculate prob of picking 1 q and 1 u when two letters picked without replacement from cqxczqxsssquuxu. 3/35 Three letters picked without replacement from bwvbqevsw. What is prob of picking 1 b, 1 v, and 1 w? 2/21 Two letters picked without replacement from {t: 3}. Give prob of picking 2 t. 1 Calculate prob of picking 2 p and 2 f when four letters picked without replacement from {f: 16, p: 2}. 2/51 What is prob of picking 1 r and 1 e when two letters picked without replacement from rrre? 1/2 What is prob of picking 3 t when three lette
{ "pile_set_name": "DM Mathematics" }
+ sqrt(567) - sqrt(567)) + sqrt(567) + sqrt(567) + 5)**2). -417361 + 504*sqrt(7) Simplify ((sqrt(190) - -1*(sqrt(190) + sqrt(190) + -4*sqrt(190) + sqrt(190) - sqrt(190)))/sqrt(5))/(((sqrt(288)*-4 - sqrt(288))/sqrt(12))/sqrt(12)). sqrt(19)/5 Simplify -3*(2 + (sqrt(17) + (sqrt(2057)*1 - sqrt(2057) - sqrt(2057)) + 4 - 5*sqrt(1700)*2))**2*-1*2. -7920*sqrt(17) + 1234416 Simplify -1 + 5 + -6*((sqrt(2420) - (sqrt(2420) - 3*(-1 + sqrt(2420))))**2 - (-3 + ((sqrt(2420) - -2*sqrt(2420)) + sqrt(2420))**2)). 2376*sqrt(5) + 101572 Simplify 2 + (-1*((5 + sqrt(1573) + -2)*2 - (sqrt(1573)*-3 + 4 + -4)))**2. 660*sqrt(13) + 39363 Simplify (-4*(sqrt(180)*3)/sqrt(10) + (4*sqrt(2)*-2 + sqrt(2) + -4 + 3 + sqrt(2))**2)*-5. -365 + 120*sqrt(2) Simplify 4*(sqrt(84)*-2*2 + (sqrt(84) + sqrt(84) + sqrt(84)*1 + sqrt(84) - sqrt(84))*-3)/((sqrt(12) + sqrt(12)*-2)*4 + (sqrt(48)/sqrt(2))/sqrt(2)). 52*sqrt(7)/3 Simplify sqrt(77)/(sqrt(7) - sqrt(343)*-1) + 5 - (-4 + ((sqrt(11) + 4)*6 + -2)**2). -2111*sqrt(11)/8 - 871 Simplify ((sqrt(2448)*-2 + -1 - (-2 + sqrt(2448) + 5)) + (sqrt(2448) - 5*sqrt(2448)*3)*2)**2. 2976*sqrt(17) + 2352544 Simplify ((5*(sqrt(133) + 2*sqrt(133) - sqrt(133)) + sqrt(133) + (sqrt(133) + sqrt(133)*-2)*-4)/((2*sqrt(1008)*-3 + sqrt(1008))*5))**2. 19/400 Simplify (-5*-5*(sqrt(50) + (sqrt(50) - sqrt(450)*3)))/((sqrt(160) - sqrt(160)*-2*4) + (sqrt(160) + (sqrt(160) - sqrt(160)*-2))*4). -7*sqrt(5)/4 Simplify sqrt(45) + (1*sqrt(1620) - sqrt(1620) - sqrt(45)) + (sqrt(45)*-2 - sqrt(45))**2 + -2 + (sqrt(160)/sqrt(200))/(sqrt(4) + 1*sqrt(4)*-6). -sqrt(5)/25 + 403 Simplify (sqrt(288) - (2*sqrt(288)*-3 - sqrt(288)))/(sqrt(72)/(sqrt(432)*-1)) + -1. -192*sqrt(3) - 1 Simplify -1*5*sqrt(4)/(-4*sqrt(2)) + (6*(sqrt(162) + 4)*4)**2. 165893*sqrt(2)/4 + 102528 Simplify ((-6*-2*sqrt(102)/sqrt(3)*4)/(-6*(-6*sqrt(4)/sqrt(2) + 1*sqrt(2)*2))*-4)**2. 1088 Simplify ((-4*sqrt(540) - sqrt(15))/(sqrt(3)*5*-2)*3 + -1)**2. -15*sqrt(5) + 1129/4 Simplify ((4*-4*sqrt(154)/sqrt(7)*6)/((sqrt(99) + -1*sqrt(99))*3 - sqrt(99)*1*1))**2. 2048 Simplify (4 + (-4 + -2*(0 + sqrt(343)))*4)*4. -224*sqrt(7) - 48 Simplify ((sqrt(150)*2)/sqrt(6))/(6*sqrt(20))*3 - (((sqrt(160)*-2)/sqrt(4))/(sqrt(288)*-2))**2. -5/36 + sqrt(5)/2 Simplify (-5*(-1*sqrt(5200) + sqrt(52) + (sqrt(52) - sqrt(832)*-1))/(sqrt(44)/(sqrt(11)*-5*-4 + sqrt(11))))**2. 2293200 Simplify 5*((2*sqrt(567) + -5)**2 + (sqrt(14)/sqrt(2) + sqrt(7))*5*-6 - ((sqrt(112) + (4 + sqrt(112) + 0)**2 - (5 + (sqrt(112) + 0 + sqrt(112))**2)) + 3)). -1380*sqrt(7) + 13075 Simplify (-5 + ((sqrt(425) - (1*sqrt(425) + -2 + sqrt(425)) - sqrt(425) - sqrt(425) - (sqrt(425) - 6*(sqrt(425) + -2*sqrt(425) + sqrt(425))))*-3)**2 + 4)*1. -720*sqrt(17) + 61235 Simplify (((sqrt(1053) - (sqrt(1053) + (-6*(sqrt(1053) - (sqrt(1053) + -1)) - sqrt(1053)))) + -1)**2 - -1*(sqrt(1053) + 2 + -1)**2) + 0. 108*sqrt(13) + 2132 Simplify (-6*sqrt(38)*5*6)/((sqrt(2) + sqrt(200) + (sqrt(200)*-1 + sqrt(200) - sqrt(200)) + sqrt(2))*6)*2. -30*sqrt(19) Simplify -6*((1 + sqrt(325) + 1 - sqrt(325)) + -5)*2*-4. -144 Simplify -5*(((sqrt(378) - -1*-2*sqrt(378)) + sqrt(378))/sqrt(6) + sqrt(126)/((sqrt(8) + sqrt(2))*-5))**2*4. -28/5 Simplify -2*(sqrt(1331) - (sqrt(1331)*-2)**2) + sqrt(1331) + -4*-2*sqrt(1331) - 4*-3*(2*sqrt(1331) + sqrt(1331) - sqrt(1331))*1. 341*sqrt(11) + 10648 Simplify (((sqrt(150) + (sqrt(150)*-1 - sqrt(150) - sqrt(150)))*3)/(-2*sqrt(360)))/(2*sqrt(75)*-4 + 1*sqrt(75)*4). -sqrt(5)/40 Simplify ((sqrt(468) - sqrt(468)*2) + 5 - (sqrt(1053)*1 - (sqrt(832))**2)) + (sqrt(39)/(sqrt(108) + sqrt(27)) - (sqrt(832) - (4 + (sqrt(832)*1)**2))). -206*sqrt(13)/9 + 1673 Simplify ((1*sqrt(52)*-2)/(sqrt(4) - (sqrt(4) + (sqrt(48)*3)/sqrt(12))))**2 + (-2 + (sqrt(208) + -1*(-5 + sqrt(208)) - sqrt(208)))**2. -24*sqrt(13) + 2005/9 Simplify (4*(sqrt(396) - -2*sqrt(396)) + 6*-3*sqrt(396) - ((3 + sqrt(396)*-1 - sqrt(396))*3 + -3))**2. 36 Simplify (4*(3 + (sqrt(3388)*-2 - sqrt(3388)) + 4*-1*sqrt(4032)))**2. -15552*sqrt(7) + 2939472 Simplify (-5*-4*(sqrt(190) + -1*sqrt(190))*2)/((sqrt(120) + (sqrt(120) + -4*sqrt(120) + sqrt(120) - sqrt(120)))/sqrt(12) + (sqrt(150)/sqrt(3))/sqrt(5)). 0 Simplify (-1*-5*(sqrt(6050)*1 - sqrt(6050)))/((sqrt(90) + sqrt(90) + -2*sqrt(90))*6 + 2*2*sqrt(90)). 0 Simplify (sqrt(68) + -1)*4 + (sqrt(68) - sqrt(68)*2*-1)**2 - ((5 + sqrt(68) + 2 + sqrt(68))**2 - (sqrt(68) + -1)*6). -36*sqrt(17) + 281 Simplify (((sqrt(512) - -1*sqrt(512)) + -4 + 4)**2 - (4 + ((sqrt(288) - (sqrt(288) + -1 + 5)) + sqrt(288))**2))*6. 576*sqrt(2) + 10440 Simplify (sqrt(637) - (sqrt(637) + (sqrt(637) + 0 - sqrt(637))*-2)**2) + 1 + (-2*(sqrt(13) - sqrt(468)))**2 + (sqrt(832)*4)**2. 7*sqrt(13) + 13976 Simplify 2 + (3 + (2 + sqrt(200))**2 + sqrt(2) + 4)*-5*-1 + 2. 205*sqrt(2) + 1059 Simplify ((-5*-1*sqrt(121))/(sqrt(110)/(1*sqrt(10))) - (-5 + sqrt(704) + sqrt(176)*-6))**2*4. 840*sqrt(11) + 19504 Simplify 4*5*sqrt(363)*-3 - (sqrt(12) - 2*sqrt(768))/(sqrt(24)/sqrt(24)). -630*sqrt(3) Simplify (-5*1*sqrt(735) - 1*(2*sqrt(735) + sqrt(735)))/(5*(sqrt(245)/(sqrt(28)/sqrt(4) + sqrt(7)))/sqrt(7)). -112*sqrt(3)/5 Simplify ((5 + 2*(2*sqrt(2816) + -2 + 3))*3)**2. 8064*sqrt(11) + 405945 Simplify 3*((-2 + 1 + sqrt(637))**2 + (4 + 1*sqrt(637))**2 - (((1 + sqrt(637))*2)**2 + sqrt(637) + (sqrt(637) + 2*(sqrt(637) + 2))**2)). -21030 - 567*sqrt(13) Simplify ((-4*(sqrt(768) + (sqrt(768)*-1*-3 + sqrt(768) - sqrt(768))))/(((sqrt(54) + sqrt(216))/sqrt(9) - sqrt(66)/(sqrt(11) - 2*sqrt(11)))*-3))**2. 2048/9 Simplify -5 + (-2*-4*(sqrt(1088) + (sqrt(1088) - sqrt(1088)*1) + -2 + sqrt(1088))*-5*-1*-2)**2. -409600*sqrt(17) + 27878395 Simplify (sqrt(133) + sqrt(133)*1*-5 - (3*sqrt(133)*3 + sqrt(133)))/(((sqrt(7) - sqrt(14)/sqrt(2)*5) + (sqrt(7) - 5*sqrt(28)))*-3). -14*sqrt(19)/39 Simplify ((sqrt(70)*3 - sqrt(70))*-2 + 1*sqrt(70)*2)/(sqrt(30)/(sqrt(3)*-1) - (-4*sqrt(1440) + sqrt(10))). -sqrt(7)/23 Simplify (-2*(sqrt(272) + 2)*4 - (1*sqrt(272) + 0)*-5)**2. 384*sqrt(17) + 2704 Simplify -3 + ((sqrt(6) + (sqrt(6) - sqrt(42)/(sqrt(7)*-3 + sqrt(7))))/(sqrt(54)/sqrt(2))*1 + -5)**2. -25*sqrt(2)/3 + 421/18 Simplify (-4*6*((sqrt(136) - (-1*sqrt(136) + sqrt(136) - sqrt(136)))*4 - sqrt(136)))/((sqrt(2400) - (sqrt(2400) + sqrt(2400)*2 - sqrt(2400)))/(sqrt(192)*1)). 672*sqrt(17)/5 Simplify (((sqrt(612)*-1 + 0)**2 - (1 + 6*sqrt(17)*2)**2) + 5)*5. -9160 - 120*sqrt(17) Simplify 3*(-4 + ((-1*sqrt(240) + sqrt(240))/sqrt(10))/(sqrt(6)/(sqrt(2)*-1*-6)) + 1). -9 Simplify (1 + sqrt(704))**2 + -2 + sqrt(704) + 3*(2 + sqrt(704)) + (sqrt(110)/sqrt(18))/(6*sqrt(45)). 2593*sqrt(11)/54 + 709 Simplify (((sqrt(80)/sqrt(4))/sqrt(5) - sqrt(12)/sqrt(75))*-2)/(-1*sqrt(242) - (sqrt(162) - (-5*sqrt(162) - sqrt(162)))). 4*sqrt(2)/185 Simplify -5*(sqrt(12) + 1 - sqrt(12))**2 + 1 + (-1*sqrt(12) + -4)*-5. 16 + 10*sqrt(3) Simplify -6*((sqrt(2736) + sqrt(2736)*1 + 4 - ((4*sqrt(2736)*2 - sqrt(2736)) + sqrt(2736)) - 4*(3*sqrt(2736) + 3))**2 + 3) + 0. -5319186 - 20736*sqrt(19) Simplify (-2 + sqrt(51)/sqrt(3) - (sqrt(833) - sqrt(833)*-4)) + (-5*(sqrt(153) + -1*sqrt(153)))/(sqrt(36)/(sqrt(8)/sqrt(2) + sqrt(4) + sqrt(4))). -34*sqrt(17) - 2 Simplify ((sqrt(468) - (sqrt(468) + 1*sqrt(468))*2)/(-4*sqrt(27)/sqrt(3)))/(6*2*((sqrt(256)*2 - sqrt(256)) + sqrt(256))). sqrt(13)/256 Simplify ((sqrt(117)/((1*sqrt(9) + sqrt(9))*-6) + 5 + 3)**2 - (3*-4*sqrt(13)*-2 + ((sqrt(208)*2)/sqrt(4))/sqrt(4)))*-1. -9229/144 + 82*sqrt(13)/3 Simplify (4*(0 + (sqrt(720) + 2*(sqrt(720) + -2*sqrt(720)) + sqrt(720))*-2 + 4)*-5 + 2)**2. 6084 Simplify (((sqrt(77) + (sqrt(77) + sqrt(77)*2)*2)*3)/((sqrt(88)/sqrt(8) + sqrt(11))*4*1))**2. 3087/64 Simplify 5*((sqrt(108) - (sqrt(108)*3*6)**2)*5 - (1 + (sqrt(108) - (sqrt(108) + 0 + sqrt(108))) + 5*(-1 + sqrt(108) - sqrt(108)))). -874780 + 180*sqrt(3) Simplify -2*((-2 + (sqrt(68) + 0)**2 - (sqrt(136)/(sqrt(72) + sqrt(8)) - ((sqrt(119)*-1 + sqrt(119))/sqrt(7))**2)) + 3). -138 + sqrt(17)/2 Simplify -3 + (((sqrt(510) + ((sqrt(510)*2 - sqrt(510)) + sqrt(510) - sqrt(510) - sqrt(510)))*-4)/(sqrt(810)*-1))/(sqrt(30)/((sqrt(60) - sqrt(240))/sqrt(6))*1). -3 - 4*sqrt(17)/9 Simplify (sqrt(1700) - (sqrt(1700)*-2 + -5)) + 4 - (2 + (sqrt(17) + sqrt(17)*-2*-6)*2). 7 + 4*sqrt(17) Simplify -1*((sqrt(40) - (sqrt(40) + sqrt(3240)))/sqrt(4))/(sqrt(4)/(sqrt(2)*6))*3. 162*sqrt(5) Simplify (6*((3*(sqrt(9)
{ "pile_set_name": "DM Mathematics" }
*i - 4*x**6 + x**6 + x**2 - 2*x**2 wrt x? -360*x**3 Let w(l) be the first derivative of 6*l**7/7 + 31*l**3/3 - 22. What is the third derivative of w(r) wrt r? 720*r**3 Let k(b) = -2 - 4 + 0 + 3 - 3*b. Let i(a) = -5 - 10*a + 0 - 5. Let l(o) = -2*i(o) + 7*k(o). Find the first derivative of l(v) wrt v. -1 Let t be 2 - (3/(-2) + 3). Let w(f) be the first derivative of t*f**2 + 2*f + 1. Differentiate w(k) wrt k. 1 Let z(c) = c + 9. Let o be z(-6). What is the derivative of 0 + o - 3*m**4 + 7*m**4 wrt m? 16*m**3 Let r = 16 - 15. Differentiate -5 + 2 - 1 - r + 7*a**2 wrt a. 14*a Let p be 4 - (1 + -3 - -1). What is the third derivative of v**5 - 8*v**2 + 5*v**p - 2*v**5 + 4*v**2 wrt v? 240*v**2 Let m(w) = -w**3 + w + 1. Let l(d) = 5*d + 6. Let a(k) = l(k) - 5*m(k). Differentiate a(o) with respect to o. 15*o**2 Let u be 6*(-2)/(-4) - 1. What is the first derivative of 1 - 49*z + 49*z + z**u wrt z? 2*z Let o(s) be the first derivative of 0*s**2 + 3/4*s**4 + 4 + 0*s**3 + 3*s. What is the derivative of o(g) wrt g? 9*g**2 Find the second derivative of 29*w + 42*w**2 - 45*w**2 - 60*w**2 wrt w. -126 Let s(n) be the second derivative of -9*n**8/56 - n**4/4 + 7*n. What is the third derivative of s(u) wrt u? -1080*u**3 Let h(m) be the third derivative of m**8/48 + m**5/15 + 13*m**2. Find the third derivative of h(x) wrt x. 420*x**2 Let h(b) = b**3 - b**2. Let p(i) = 3*i**5 - 6*i**3 + 6*i**2 - 2*i. Let o(f) = -6*h(f) - p(f). Find the second derivative of o(s) wrt s. -60*s**3 Find the third derivative of -5*t**2 + 35*t**5 + 107*t**3 - 13*t**2 - 107*t**3 wrt t. 2100*t**2 Let h(j) be the second derivative of j**8/112 + j**5/60 - j**2/2 - 4*j. Let p(d) be the first derivative of h(d). Find the third derivative of p(s) wrt s. 180*s**2 Let l(m) = m**3 + 3*m + 1. Let p(u) = -u**3 - u**2 + 1. Let j(t) = -l(t) - 2*p(t). Let y be j(-2). Differentiate -v**3 + 3 + 0*v**y - 1 with respect to v. -3*v**2 Let d(f) = -f + 8. Let o be d(6). Find the second derivative of i - 5*i**4 + o*i**4 + 7*i wrt i. -36*i**2 Let p = 4 + -2. What is the second derivative of 10*k**2 + k - 10*k**p + 2*k**3 wrt k? 12*k Let n(s) be the second derivative of 0 - 4*s + 0*s**4 + 5/6*s**3 - 3/20*s**5 + 0*s**2. What is the second derivative of n(w) wrt w? -18*w Let c(m) be the first derivative of -3*m**4 - 25*m**3/3 - 13. What is the third derivative of c(y) wrt y? -72 Let o(d) be the first derivative of -6*d**5 - 31*d - 25. Find the first derivative of o(f) wrt f. -120*f**3 Let t(j) = j**4 - j - 1. Let u(f) = -f**4 + 5*f**2 + 6*f + 6. Let y(l) = 6*t(l) + u(l). Find the third derivative of y(o) wrt o. 120*o Let f(j) be the first derivative of 7*j**4/12 - 5*j**2/2 + j - 4. Let m(a) be the first derivative of f(a). Differentiate m(w) with respect to w. 14*w Let l be (1 + -2)/(3/(-9)). Let b(p) be the second derivative of -3*p - 1/4*p**4 + 0*p**l + 3/2*p**2 + 0. Differentiate b(w) with respect to w. -6*w Let l = -9 + 21. Suppose q - l = -3*q. What is the second derivative of 0*w + q*w - 4*w**5 - 4*w wrt w? -80*w**3 Let i be (-18)/(-30) - (-96)/(-10). Let v = i + 17. What is the second derivative of -3*c**3 + v*c**3 + 3*c - c**3 wrt c? 24*c Let d be 7/14*(-8)/(-6). Let p(u) be the first derivative of -d*u**3 + 0*u - 1/4*u**4 - 2 + 0*u**2. Find the third derivative of p(t) wrt t. -6 Suppose 3*w + 12 = -3*q, q + 1 = -2*w - 7. Let o(i) be the second derivative of q + i + 3/2*i**2 + 0*i**3 + 1/6*i**4. Differentiate o(n) with respect to n. 4*n Let x = 5 + -5. Let v(j) be the second derivative of 1/3*j**3 + 1/6*j**4 + x*j**2 + 0 - j. What is the second derivative of v(m) wrt m? 4 Suppose -r + 12 = -4*z - 1, 4*r = z + 22. Suppose q - 3*q - 1 = r*k, 5 = -5*k. What is the second derivative of a + 0*a + q*a - a**4 wrt a? -12*a**2 Let f(v) = -6*v**4 + 3*v**2 - 5*v. Let i(a) = 7*a**4 - 2*a**2 + 4*a. Let y(g) = 2*f(g) + 3*i(g). What is the second derivative of y(b) wrt b? 108*b**2 Let o(n) = 2*n**3 - 4*n. Let w(t) = -2*t + 3. Let v be w(3). Let j(d) = d**3 - 2*d. Let f(k) = v*o(k) + 5*j(k). What is the second derivative of f(y) wrt y? -6*y Let r(j) = -33*j**2 + 35*j - 11. Let a(y) = 16*y**2 - 17*y + 6. Let k(s) = 11*a(s) + 6*r(s). Find the second derivative of k(f) wrt f. -44 What is the derivative of 25*m**2 - 63*m**2 + 27*m**2 - 5 + 13 wrt m? -22*m Let z(x) = -1 + x**4 - 9*x**3 + 0*x - 8 - 2*x + x. Let q(v) = -2*v**3 - 2. Let l(b) = -9*q(b) + 2*z(b). What is the second derivative of l(g) wrt g? 24*g**2 Differentiate -14*i**2 + 22 + 1 + 22*i**2 + 19 with respect to i. 16*i Let c = -16 + 17. Find the third derivative of c + 4 - 7*a**5 + 6*a**2 - 5 wrt a. -420*a**2 What is the third derivative of 2*h**4 - 3*h**4 - 28*h**2 - 6*h**4 - 3*h**4 wrt h? -240*h Let l(p) be the third derivative of 11*p**8/112 - 3*p**4/4 - 7*p**2. What is the second derivative of l(t) wrt t? 660*t**3 Suppose c - 8 = -c. Suppose 4 + 4 = c*h. Differentiate 5*q**3 - 5*q**3 - 2 - h*q**4 with respect to q. -8*q**3 Let b(l) = l**4 + 2*l**2 - 7*l. Let w(h) = -2*h + 3. Let o be w(5). Let t(m) = -m**2 + 2*m. Let d(z) = o*t(z) - 2*b(z). Find the third derivative of d(g) wrt g. -48*g Let q = 1 - 1. Differentiate 2*g**3 - 4*g**3 + g**3 + q + 4 with respect to g. -3*g**2 Suppose -3*b - 16 = -7*b. Let a(y) be the third derivative of 0 + 1/60*y**6 + y**2 + 0*y**5 + 0*y**3 + 1/8*y**b + 0*y. Find the second derivative of a(q) wrt q. 12*q What is the second derivative of -x**5 + 12*x + 7*x**5 + 14*x - 15*x wrt x? 120*x**3 Let s(w) = -w**4 - 3*w**3 + 3*w**2 - 4. Let n(j) = 4*j**3 - 4*j**2 + 3. Let z(k) = -3*n(k) - 4*s(k). Find the first derivative of z(o) wrt o. 16*o**3 Let x(h) be the first derivative of -3 - 1/3*h**3 + 1/2*h**2 - 4*h. Let c(l) be the first derivative of x(l). Differentiate c(w) wrt w. -2 Let x(m) be the first derivative of m**5/20 - m**4/8 - 3*m**2/2 + 4. Let i(u) be the second derivative of x(u). What is the second derivative of i(r) wrt r? 6 Let p = -3 + 4. Suppose 5 = b + p. Find the first derivative of 0 + 2 - 2*x + 2*x - x**b wrt x. -4*x**3 Let n(i) be the first derivative of -4*i**3/3 + i**2/2 + 2. Find the second derivative of n(a) wrt a. -8 Find the second derivative of -25*f + 8*f + 16*f + 11*f**5 wrt f. 220*f**3 Differentiate -1 - 3*w**3 - w**3 - 1 - 5 wrt w. -12*w**2 Let a(f) be the third derivative of -3*f**5/20 - f**3/6 + 21*f**2. Differentiate a(q) with respect to q. -18*q Let i(r) be the third derivative of 0*r - 4*r**2 + 0*r**4 + 2/3*r**3 + 1/30*r**5 + 0. Find the first derivative of i(k) wrt k. 4*k Let s be -2*(-2 - -5)/(-3). Suppose 5 = -s*u + 3*u. What is the second derivative of -u*a + 4*a**2 + 2*a**3 + 4*a - 4*a**2 wrt a? 12*a Let r(s) be the first derivative of 18*s**2 - 18*s**2 - 1 + 0*s**3 + 4*s - s**3. What is the first derivative of r(f) wrt f? -6*f What is the third derivative of 2*d**2 - 2*d**6 + 10*d**2 + d**2 + 5*d**2 wrt d? -240*d**3 Let z = 12 + -1. Suppose -5*y = -26 + z. Find the second derivative of 5*h - 4*h**4 - 3*h + y*h**4 + 3*h**4 wrt h. 24*h**2 Suppose -13 = -0*z - z - 5*w, 5*z = -2*w + 19. Let r be 252/117 + (-2)/13. What is the third derivative of 2*l**3 + 4*l**4 - 2*l**3 + z*l**r - l**4 wrt l? 72*l Let s(g) be the first derivative of g**6/3 - 7*g**4 - 8*g**3/3 + g + 73. Find the third derivative of s(x) wrt x. 120*x**2 - 168 Let c(j) be the third derivative of -41*j**4/24 + 26*j**3/3 + 3*j**2. Find the first derivative of c(s) wrt s. -41 Suppose 4*v + 15 = 9*v. What is the second derivative of -t + 11 + v*t**5 - 11 wrt t? 60*t**3 Find the third derivative of b**2 - 11*b**2 - 2*b**3 + 7*b**3 + 7*b**3 wrt b. 72 Let k(z) be the third derivative of z**6/20 + 5*z**3/6 - 10*z**2. Differentiate k(m) with respect to m. 18*m**2 Let z(i) be the first derivative of -i**3/3 + i**2/2 + 2*i + 2. Let j be z(0). Find the second derivative of q**j + 0*q - 4*q**2 + 2*q wrt q. -6 Find the third derivative of -6*h**4 - 198*h**3 - 8*h**2 + 198*h**3 wrt h. -144*h Suppose 0*j + 2*j - u - 15 = 0, -24 = -3*j + 2*u. Differentiate -4*z + 0*z - z - 1 + j*z wrt z. 1 What is the third derivative of 17*b**3 - 16*b**4 - 17*b**3 - b**2 + 0*b**2 wrt b? -384*b Suppose -4 = -3*a + o, -5*a + 5*o = 6 + 4. Let b be (12/(-10))/(18/(-60)). What is the second derivative of -3*m**b - 3*m + a*m**4 - 2*m**4 wrt m? -24*m**2 Let b(f) = -32*f**2 -
{ "pile_set_name": "DM Mathematics" }
- 4 = 4*u, -310*u + 118*u - 12 = -195*u for m. 10 Solve 0*c = 322*p - 315*p - 3*c + 32, -p = -43*c + 39*c - 24 for p. -8 Solve 3 = q, 5*k + 70*q + 3 + 1 = 68*q for k. -2 Solve -q = -54*s - 101, 0 = -12*s + 9*s + 5*s + q - 45 for s. -1 Solve 58*i = 55*i - 4*x - 87, 68 = -5*i + 19*x for i. -25 Solve 2*c = -2*n - 2*c + 4, n = -1152*c + 1155*c + 12 for n. 6 Solve 68*j + 1406 = 63*j - 27*i, -2*j = i + 43 for j. 5 Solve 5*q + 3*i - 46 = 0, 775*q + 779*q - 5*i + 35 = 1554*q for q. 5 Solve -1808*c = -1813*c - 35, 2*n = -6*c - 36 for n. 3 Solve 240*i - 123*i - 127*i = 40, v = -5*i - 42 for v. -22 Solve -5*p + 6*y + 0*y = 3*y + 137, 223 = -8*p + y for p. -28 Solve 51*p + 255 = 0, 4*b - 5*b + 6*p = 9*p - 83 + 107 for b. -9 Solve 4 = 2*t - 3*s, t + 3*s + 302 + 305 = 609 for t. 2 Solve 3*z = -15*d - 39, 12*z = 5*d + 14*z + 2*z + 67 for d. 1 Solve 2*q = 4*d + 50, -1152*q + 1174*q = 3*d + 140 for d. -10 Solve 2*m + 5*n + 336 = 185, 78*m + 379 = -5*n for m. -3 Solve -2*u = 3*i - 2*i - 3, -4*u + 23*i - 8008 = -8039 for u. 2 Solve 9 = -3*l, 0 = b - 4*l - 7367 + 7337 for b. 18 Solve -w = 3*l - 2*w - 15, 2*l + 8*w - 12*w = -0*l + 2*l for l. 5 Solve 0 = 29*x + 4*b + 30, 40*b + 44*b = -3*x - 4*x + 79*b + 21 for x. -2 Solve 24*v - 70 = -b, 64*b - 60*b = -4*v + 5 - 1 for b. -2 Solve -5*o - 10 = -10, -5*o = -5*x + 97 + 8 for x. 21 Solve -66 = 5*g - 6*f, 62601*g + 2*f - 62 = 62606*g for g. -12 Solve 4*w - 7*h + 15 = 5*w - 25, 4*w + 7*h = 38 - 4 for w. -2 Solve 3142 = 2*r - 19*t + 3017, 4*r + 4*t = -44 for r. -4 Solve 4*v - 590 = 3*d - 640, 0 = v - d + 15 for v. -5 Solve 3*d + 0*d - 4*z - 19 = 0, 5*d + z - 3*z = 79 - 52 for d. 5 Solve -6*l + 647*h - 46 = -2*l + 649*h + 8, -4*h - 115 = l for l. 1 Solve 4*y = -59*m + 633, 151*m - 56 = 147*m + 3*y for m. 11 Solve -7*i = -2*i - i - o - 30, 5*o - 70 = -10*i - 6 - 4 for i. 7 Solve -1394 = 282*k - h, -8*h + 11 = 2*k - 3*h + 101 for k. -5 Solve 2*i - 8*y - 148 = -238, i + 5*y = -33 + 87 for i. -1 Solve 2*z - 84*c - 406 = 0, -267*z + 1 = -266*z - c + 3 for z. -7 Solve -5*h + 8 = 23*t - 5 - 21, 37 = 7*h - 3*t + 95 for h. -7 Solve 21145*w + 21 = 21148*w - 4*q, -4*q - 30 = -6*w for w. 3 Solve 5*j - 4*i = -122, -653*i + 650*i = -2*j - 88 for j. -2 Solve 59684*k + 12 = 59680*k, 3*w - 5*k + 156 = 0 for w. -57 Solve 0 = p + 2*z, 0 = 2*p + 64*z + 36*z - 105*z - 18 for p. 4 Solve 2247*b = -3*k + 2249*b, -27 = -k + 4*k + 2*b + 9 for k. -6 Solve -101026*s - 28 = -101022*s - 4*t, -4*t - 10 = 15*s for s. -2 Solve -6*c + 6*v = -6, -15*v - 16*v + 27*v - 16 = 0 for c. -3 Solve 0 = -5*z + 547509*f - 547506*f + 36, 5*f + 47 = 4*z for z. 3 Solve 0 = 3*o + 9, -93*j = -281*j + 94*j + 95*j + 2*o + 33 for j. -27 Solve -5*u = w + 74, -5*w + 5*u + 70 = 20 for w. -4 Solve p - 37 = j, 30*p + 17*j = 29*p - 575 for p. 3 Solve -3*h - 13*d = -15*d - 6, -19*d = 2*h + 60 + 58 for h. -2 Solve 2*i - 3*i = 9*o - 22, 4996*o + 9*i - 8*i = 4995*o + 9 - 3 for o. 2 Solve 51162*m = -2*s + 51167*m + 40, -4*m - 300 = -15*s for s. 20 Solve -3*x = 3786*z - 3788*z + 8, -4*x + 5*z - 34 = 0 for x. 4 Solve 2*h - 3*r - 3 - 12 = 0, 0*h - r + 85555 - 85553 = -3*h for h. -3 Solve -5*w - 40 = -225914*l + 225911*l, -3*l + 20 = 5*w for w. -2 Solve -d - 4*d + 4*j = 0, 18*d - 40*d + 23*d + 4*j = 0 for d. 0 Solve -68*t + 3*v = -29*t - 28*t - 76, 4*t - 4*v - 16 = 0 for t. 8 Solve -d + 817180*j = 817168*j + 53, 46 = 3*d + 5*j for d. 7 Solve 38983*t - 38981*t + 68*j = 342, -2*j + 10 = 0 for t. 1 Solve 5*k - 3*b + 43 = 0, 245456*k - 245451*k = -77*b - 363 for k. -11 Solve -22 = -2*i - 625493*u + 625491*u, 0 = -3*i - 2*u + 25 for i. 3 Solve -503*x = -504*x + 3, -2*s - 2*s = 4*x - 72 for s. 15 Solve -19*k - 23*k + 43*k + 13 = -z, -26*z + 3*k - 483 = 0 for z. -18 Solve -64*w + 6*o + 48 = -70*w + 4*o + o, 0 = o for w. -8 Solve -201*o + 195*o = -3*l - 297, l = 16*o - 785 for l. -1 Solve -251*t + 8*g = -250*t - 12 - 45, 4*g = -5*t - 23 for t. 1 Solve -4*k = -174*p + 139*p, -3*p + 3*k = 0 for p. 0 Solve 535530*f - 535535*f - 7 = 3*q, 7*q + 25 = -3*f for q. -4 Solve 2*r + 5 - 13 = -4*y, 3*r = 79*y + 3*y + 276 for y. -3 Solve -11535*u - 4*t - 20 - 52 = -11531*u, -56 = -3*u + 2*t for u. 4 Solve p - 135 = 6*t, 7*p - 153 = -96533*t + 96539*t for p. 3 Solve -4*u + 3*u = 2*u - 139*j + 140*j + 59, 17 = -u - j for u. -21 Solve -4*t - 180 = -4*c + 96, 2*c + 5*t - 742 - 852 = -1918 for c. 3 Solve s = -32*j + 41, -517*s = -513*s + 2*j - 38 for s. 9 Solve 2*x = -18*q + 68, 214*q - 108*q + x + 2 = 106*q for q. 4 Solve 2*j = h + 120 - 144, -2*j = -4*h + 12 for h. -4 Solve -4*o + 3*l - 2126 = -2177, -3*o + 2*l = -39 for o. 15 Solve -o + 3 - 46 + 19 = 3*j - 15, -3*j - 81 = 5*o for j. 3 Solve 5*t + 2326 - 824 = -38*p, 4*p = -2160*t + 2162*t - 148 for p. -39 Solve 165506*m - 165511*m = -4*o + 12, -2*m - 12 = -4*o for m. 0 Solve -i = -1 - 3, -42*x - 23 = -39*x - 3*i + 97 for x. -36 Solve 3*w - 2*l - 21 + 9 = -10, -w + 0*l = -5*l - 18 for w. -2 Solve -4*r = -4*w - 53268 + 53236, 3*w - 24 = -r for w. 4 Solve -87*g - 4*t = -495, -92799 = g - 5*t - 92729 for g. 5 Solve 0 = -4*s - 59*w - 263, 16*w + 10*w - 30*w = -2*s + 36 for s. 8 Solve i + 5*l - 11 = 0, 114*i - l = 128*i + 191 for i. -14 Solve -5*b - 13 = -2*w + 33, -73*b - 23*w = -75*b - 640 for b. 2 Solve -2*n - 485 = 11*q, 7*q - 3*q + 3*n - 92 + 257 = 0 for q. -45 Solve -5*z + 12*s - 72 = 19*z, 122*z = 123*z - 4*s + 3 for z. -3 Solve 12861 - 12865 = -5*f + k, -f + 4 = 3*k for f. 1 Solve -3*s + 28164*u - 28166*u = -24, -3*s = u - 9 for s. -2 Solve -164*z + 3*t + 16 = -148*z, z + 28 = 2*t for z. 4 Solve 5*z = -2033*t + 2030*t - 27, 17*z = 5*t - 107 for z. -6 Solve 0 = 5*m + 3*d + 13 - 56, 5*d + 0*d = -22*m + d + 134 for m. 5 Solve 131*g + j = -1305 - 730 - 320, -3*g = -5*j + 69 for g. -18 Solve -3*l + 47 - 15 = 8*p + 5*p, -5*l = -p - 8 for p. 2 Solve 2*v - 2*i - i - 32 + 9 = 0, 4*i - 20 = -10*v for v. 4 Solve -2*w + 69 = -5*w - 5*r - 7*r, -r = 2*r + 12 for w. -7 Solve 3716*f - 3715*f - 2 = -j - 1, -4*j = -f - 24 for f. -4 Solve -9*x = -5*n - 8*x - 105, -6*n - 9 = 6*x + 81 for n. -20 Solve 2*l - 3*w + 42 - 82 = -22, -l = -3*w - 12 for l. 6 Solve -5*p + 14 = 3*z, -2*z + 7*z + p + 1175 = 1191 for z. 3 Solve 4*j = -32, -1069*j + 537*j = -2*g - 535*j - 14 for g. 5 Solve 2*o + 54 = 3*v - o + 36, 6 = 4*o + 2 for v. 7 Solve 4*k - 2*h - 34 = 0, -45*k + 18*k = -30*k - h + 23 for k. 8 Solve -58 = -5*o - 73, 2*v + 6*o = 5*o + 3*o - 6 for v. -6 Solve 3*t - 67 = 2*t - 3*z, -6*z - 48 = -8*z for t. -5 Solve 175*l - 173*l = -5*i - 101, -3*l + 5*l - l = -4*i - 82 for i. -21 Solve -6*d + 32*d - 95 = 3*c, -4*c = 73*d - 77*d + 4 for d. 4 Solve 50*u = 7*t + 42*u + 95, -2*u = 4*t - 18 for t. -1 Solve 1079 = 32*i + 3*n, 0 = -431*i + 427*i - 4*n + 124 for i. 34 Solve -5*v + 3*b - 21 = 0, -5*v - 4*b - 18288 + 36549 = 18303 for v. -6 Solve -4*f + 48*x + 260 = 0, -2*f + 3794 - 3774 = -2*x for f. 5 Solve -34*d - i + 122 = -195 + 46, 2*i = 5*d - 42 for d. 8 Solve -4*o - 36 = -q, -859*q + 856*q + 23 = 2*o + 3*o for q. 16 Solve 0 = 4*f - 0*f + 5*t - 91, 46*t = 41*t - 25 for f. 29 Solve -4*k - 601859*x + 601865*x - 49 = -15, -k = -2*x + 12 for k. 2 Solve 5*v + 293 - 254 = 4*d, -3*d + 3 = 5*v for d. 6 Solve 5*b - u - 28 = 0, 8007*b + 2*u + 26 = 8012*b for b. 6 Solve n = -4*a + 1, -3*n + 10 = 16234*a - 16229*a for a. -1 Solve -16 = b - 3*g, 3*g = -1814*b + 1816*b + 14 for b. 2 Solve -109814*q + 109815*q - 5*v - 4 = 0, -2*v = 8 for q. -16 Solve 0*t = 2*t - 8*p - 4*p + 14*p + 4, -7*t = -3*p + 44 for t. -5 Solve 7263 - 7251 = -3*y - 0*k - 4*k, 0 = 3*y - 5*k + 12 for y. -4 Solve 92 = 3*n + 5*t, 3*n - 828879*t - 132 = -828894*t for n. 24 Solve 34*v = -9*v - 9*a + 161, 2*v + 7*a + 8*a - 53 = 19*a - 19 for v. 5 Solve -47 + 35 = -5*f + 6*g, -8 = -4*f - 11*g + 15*g for f. 0 Solve 3*m - 5*c - 24 = 0, 16*m + 99081*c - 99075*c = 30 for m. 3 Solve 12897 - 12902 = -3*y - 4*l, -3*y - 5*l = -10 for y. -5 Solve -3*x - 5*u = 8 + 17, 0 = -10*x - 4*u - 25 + 62 - 19 for x. 5 Solve j = 3*k + 62, -2*k - 2*j - 36 = -j + j for k. -20 Solve s + 10 = -3*h, -101*s - 91317 + 91847 = -5*h for h. -5 Solve -5*h + 692 - 650 = -4*l, -4*h = 80*l + 216 for l. -3 Solve -5*k = -5*i - 210, 277*i + 4*k + 27 = 276*i for i. -39 Solve -5*r + 10*r + 330*l = 4*r - 1988, -2*r - 5*l - 16 = 3*r + 54 for r. -8 Solve 20*q - 1014 = 5*u - 789, 0 = 2*
{ "pile_set_name": "DM Mathematics" }
50 - 244 + 496 to c*y + g + h*y**2 and give g. 2 Rearrange (452 - 17*f - 452)*(4 - 3 + 1)*(-284 + 500 + 36)*(1 - 2*f - 1) to the form i + k*f + u*f**2 and give u. 17136 Express 1330*o - 460*o + 1385*o + 1401*o as u*o + m and give m. 0 Rearrange (-4*y - 4*y + 5*y)*(-y**2 + 0*y**2 + 0*y**2)*(-6532*y - 1492 + 2987 - 1495) to m*y**4 + q*y**2 + c*y + b*y**3 + w and give m. -19596 Rearrange -42*q**4 - 4*q**4 - 131*q**4 + (3*q**2 + 0 + 0)*(-10*q - 3*q**2 + 10*q) to m*q**3 + f + s*q**4 + p*q**2 + n*q and give s. -186 Rearrange -7*p - 7161 + 2*p + 15330 - 7176 + (-p - 2*p + p)*(-32 + 57 - 27) to i*p + m and give m. 993 Rearrange (-2 - 2 + 3)*(2*c - 2*c - 2*c) + c + 2*c + 3*c - 4319 + 258*c - 31*c + 264*c + 4319 to n + l*c and give l. 499 Express (-5*p**4 - p**4 + p**4)*(497 - 360 - 263) as r*p + c*p**4 + h*p**3 + u*p**2 + g and give c. 630 Express -2*v**4 + 38*v + 2 + 725*v**2 - 364*v**2 - 359*v**2 + 3*v**3 as k*v**2 + a*v**4 + y*v + b*v**3 + l and give a. -2 Express -357 + 9*n + 5*n - 9*n - 4*n - 6*n in the form r + w*n and give w. -5 Express (-19 + 72 - 4)*(956*d - 727*d - 607*d) as k + o*d and give k. 0 Express -32*t + 26*t + 158*t + 6*t - 11*t - 2*t + 3 - 3*t - 3 + (4*t - 6*t + 0*t)*(-2 + 0 + 4) + 2*t + 0*t + 0*t as c + f*t and give f. 140 Rearrange (5*r - 5*r + 2*r)*(-221 + 48 - 614 - 679) to u*r + m and give u. -2932 Express -142*p**2 - 521*p**2 - 675*p**2 in the form d + j*p**2 + q*p and give j. -1338 Rearrange (-o - 2*o + 2*o)*(-4 - 28181*o + 976*o - 5710*o + 616*o) to s + x*o + k*o**2 and give x. 4 Express -5993*a**3 - 5948*a**3 - 3*a + 11940*a**3 + 1 + 129*a**2 in the form c*a + s*a**2 + q + m*a**3 and give c. -3 Express (7*t - 13*t + 18*t)*(35*t**3 + 47*t**3 + 18*t**3) as s*t**4 + y*t**3 + n + c*t + p*t**2 and give s. 1200 Rearrange 4*c**4 - 13*c**3 + 1 + 31*c**3 - 19*c**3 - 8*c**2 - c - 3*c**4 to s*c**2 + h*c + u*c**4 + f*c**3 + r and give u. 1 Express (-30936*b**4 + 14957*b**4 + 12532*b**4)*(-5 + 2 + 2) as f*b**2 + v*b**3 + r + u*b**4 + d*b and give u. 3447 Rearrange (-6 - 8 + 2 + (-3 + 5 + 0)*(8 - 2 - 2) - 1 + 2 + 0)*(2*c**2 + 7*c**3 + 0*c + c - 4*c**3) to the form z + j*c**3 + t*c + a*c**2 and give t. -3 Express 17*l - 42*l + 3*l + 5 - 2 + 23*l + 106*l**2 in the form w*l**2 + s + r*l and give w. 106 Rearrange 3766*u**2 - 14450901*u + 14450901*u to p*u**2 + f + v*u and give p. 3766 Rearrange -d**4 + 3*d**4 - 4*d**4 + ((-1 + 0 - 1)*(-3 + 0 + 0) - 1 - 6 + 2)*(-224*d**4 + 127*d**4 - 1040*d**4) to g*d + z + n*d**4 + q*d**2 + k*d**3 and give n. -1139 Express (-16*l**2 - 36 + 556*l - 553*l + 9*l**2)*(-2 + 1 + 2) as g*l**2 + b + p*l and give g. -7 Express 138 - 31*g - 19*g + 45 + 15*g in the form b*g + t and give t. 183 Rearrange 678825*h**3 + 520*h + 2721*h - 678824*h**3 to b*h + w*h**2 + v + r*h**3 and give b. 3241 Rearrange -4 + 9*a + 0*a**2 + 41*a**2 + 3 - 5*a**2 + 3 to b*a + h*a**2 + j and give h. 36 Rearrange (2*z - 2*z - 3*z)*(100 - 127 - 128)*(-16 - 18 - 154*z + 34) to the form m + q*z**2 + s*z and give q. -71610 Rearrange -16882 + 2*r**4 + 5*r**2 - r**3 + 16885 - r**4 + r - r**4 - 4*r**4 to s*r**3 + d*r**4 + z + q*r**2 + p*r and give z. 3 Express 25*k**2 + k - 25 - 17 + 2*k - 2*k - 11 in the form q + j*k + o*k**2 and give o. 25 Express -3*w + 28*w**3 + 22*w**3 - 45*w**3 + 74*w as l*w**2 + f*w + j*w**3 + q and give f. 71 Rearrange 10 - 124*p**4 - p + p**3 + 0*p**3 - 9 + 4*p**3 - 4*p**3 to the form b*p**3 + x*p + q + g*p**4 + v*p**2 and give g. -124 Express (-59 - 64 + 0 + 5)*(-492*s**2 - 42*s**3 + 25*s**3 + 15*s**3) as m*s + f + y*s**3 + u*s**2 and give u. 58056 Express 3307*w**2 - 3*w - 2516*w**2 + 3*w in the form h + k*w + z*w**2 and give z. 791 Express 37*q - 103 + 738 + 221 - 43*q + 5*q in the form t + c*q and give c. -1 Rearrange -675*r - 411 - 413 + 1242 - 418 to m + b*r and give b. -675 Rearrange (0*s**2 - s**2 + 4*s**2)*(-141*s - 62*s - 82*s)*(0 - 1 + 5) to k*s**3 + f*s + w*s**2 + j and give k. -3420 Express (0 + 0 + 1)*(93*w + 56 - 56) + 4*w + 0*w - 2*w as z + r*w and give r. 95 Express -h**4 - h**4 + h**4 + 3*h**4 - h - 2*h**3 + 90*h**2 + 181*h**2 as s + o*h + m*h**2 + p*h**4 + g*h**3 and give g. -2 Express -20 - 574*m**3 + 72 + 284*m**3 + 292*m**3 + m**2 - 27*m**4 - 2*m in the form t*m**4 + h + q*m**2 + j*m + u*m**3 and give q. 1 Express 134 - 310 - 78 + 116 - x - 312 in the form m + u*x and give m. -450 Express (33*o + 12*o - 6*o)*(-15 + 44 + 21) in the form u + h*o and give h. 1950 Express (-57*n**2 + 10943*n - 10943*n)*(3 + 4*n - 4 - n) in the form j + s*n + k*n**3 + h*n**2 and give k. -171 Rearrange (2*c**2 + 2*c - 2*c)*(2 - 2 - 1)*(-46 - 32 + 28 + (-3 + 4 - 10)*(1 - 3 - 2)) to the form d*c + q + l*c**2 and give l. 28 Rearrange 12*j**2 - j**3 - 5396 - j**3 + 5403 - 16*j - 10*j**2 to the form u*j + d*j**3 + s + a*j**2 and give a. 2 Express -56 + 25 + 31 - 19869*j in the form q*j + s and give q. -19869 Rearrange -7*g - 17*g + 12*g + 18 - 49*g to p*g + o and give o. 18 Express -107*v - v**2 + 4*v + 27*v - 52*v - 104*v - 5 as a*v + p + o*v**2 and give o. -1 Express -2*z**3 - 6*z**2 + 4282*z + 16*z**2 - 4211*z as y*z**2 + v + g*z + h*z**3 and give v. 0 Express -167*u + 165*u + 1394*u**4 - 1390*u**4 + 325*u**3 as i + y*u**3 + n*u + m*u**2 + q*u**4 and give q. 4 Express (-30 + 30 + t)*(435*t - 1560*t - 1437*t + 381*t - 190*t) in the form p*t + c + h*t**2 and give h. -2371 Express 1065*z + 994*z - 84931 - 311*z + 84928 in the form y*z + u and give u. -3 Rearrange 62*p**2 + 24*p**2 + 5 + 59*p**2 - 3 + 1168*p - 147*p**2 to the form y + g*p + j*p**2 and give g. 1168 Express 34026*d**3 - d**2 + 18 + 21*d - 22*d - 34015*d**3 in the form j*d**2 + k + c*d**3 + h*d and give k. 18 Express 152*t**2 - 52*t**3 + 4 - 75*t**2 - 80*t**2 + 73*t**3 + 71*t**3 as p*t**3 + i + h*t**2 + y*t and give h. -3 Express (2638*l + 3049*l - 50*l)*((1 + 4 - 2)*(1 - 4 + 2) + (0 + 0 - 1)*(-3 - 1 + 2)) in the form b*l + o and give b. -5637 Express (6 - 1 + 6)*(1 + 2 + 0)*(-2*s**3 + 22051 + 63*s - 22051) in the form u*s + k*s**2 + d + a*s**3 and give u. 2079 Rearrange 29531 - 29531 + 663*u**2 to the form a*u + d + v*u**2 and give v. 663 Express -2 - 303*i**2 + 5*i + i**4 - 6244*i**3 + 6246*i**3 + 3*i - 6*i + 0*i**4 as q + w*i + v*i**3 + b*i**4 + m*i**2 and give v. 2 Rearrange -4*k**2 - 84*k**3 + 72*k**3 + 7*k + 17*k**3 - 7*k - 6 to l*k**2 + x + b*k**3 + t*k and give b. 5 Rearrange (-99 - 43 - 185)*(-1065*i + 19*i**3 + 1065*i + 3*i**2) to the form c*i + x*i**2 + d*i**3 + s and give d. -6213 Rearrange (-319*x - 123*x - 36*x)*(3 - 3 + 2)*(0*x + 0*x + 2*x) to the form l + z*x + y*x**2 and give y. -1912 Rearrange 13*q**2 + 12*q**2 - 57*q**2 + 4*q + 20*q**2 - 1 + q**3 + 18*q**2 to the form v + h*q**2 + x*q**3 + b*q and give h. 6 Express -23*w - 1 + 49*w + 134*w**3 - 24*w + 5*w**2 + 8*w**3 + 0*w**2 as d*w**3 + r*w + a*w**2 + m and give d. 142 Rearrange -161595*i + 122940*i + 0 + 0 to p + h*i and give h. -38655 Rearrange -9*k + 2 - 76*k**3 - k**4 - 3 + 10*k**2 + 78*k**3 + 9*k to z*k + q*k**2 + y*k**4 + l + g*k**3 and give y. -1 Express (84112 - 42056 - 197*t - 42056 - 33*t)*(4*t + 0*t - 2*t) in the form p*t + x*t**2 + q and give x. -460 Express -106 + 108 - 12*p**4 - 21*p**4 - 9*p**4 - 4*p - p**4 as o*p**4 + f*p**2 + b*p**3 + y*p + j and give o. -43 Express 344*k - 3456 - 73*k**3 + 3454 - 290*k as f*k**3 + q + s*k**2 + u*k and give f. -73 Rearrange (3*m - 22 + 22)*(66 - 34 - 50)*(-2 + 3 + 2) to the form z*m + w and give z. -162 Rearrange 40*a**4 - 13*a**2 - a**3 + 40*a**4 + 2 + 52*a**4 - 2*a - a**3 + 8*a**2 to the form v*a + h + y*a**4 + c*a**3 + z*a**2 and give y. 132 Rearrange -2*a**4 - 11*a**3 + 11*a**3 + (171 - 83 + 211)*(3 - a**4 - 3) - a**4 - a**4 + a**4 to f*a + l*a**3 + v + x*a**4 + r*a**2 and give x. -302 Express (-6*a - 4*a + 4*a + (-3 - 1 + 3)*(-6*a + 3*a + 5*a) + a - 3 + 3)*(1359*a - 706*a - 690*a) in the form r + v*a**2 + l*a and give v. 259 Express 9*y**2 + 2*y - 3*y**2 + 2*y**3 - 49 - 3*y**3 - 7*y**2 + 2*y**4 as k*y**3 + t + z*y**2 + n*y**4 + a*y and give k. -1 Rearrange (0 - 9 - 571*v**2 - 186*v**2 + 6065*v**2)*(v - 2*v - v) to the form a + r*v**3 + q*v + h*v**2 and give q. 18 Express 1633779 - 3*t - 19*t**3 - 1633861 + 3*t in the form s + d*t**3 + m*t**2 + o*t and give s. -82 Express (2*j**2 + j**3 - j**3 - 2*j**3)*(1 - 1 - 3)*(-3 + 2 + 5) + 18*j**3 -
{ "pile_set_name": "DM Mathematics" }
f 761761 and 171171? 1001 What is the greatest common divisor of 13 and 1343899908? 13 What is the greatest common factor of 255 and 3796491? 51 Calculate the greatest common divisor of 174250 and 10004500. 4250 Calculate the greatest common factor of 1186856 and 2464. 88 Calculate the greatest common divisor of 14658322 and 4172. 2086 Calculate the highest common divisor of 896908 and 92. 92 What is the greatest common factor of 1024882 and 1410? 94 Calculate the highest common divisor of 2825 and 315660415. 565 Calculate the highest common divisor of 87087 and 65178399. 12441 What is the greatest common divisor of 76969 and 133? 19 What is the greatest common factor of 80251890 and 4440? 1110 Calculate the greatest common divisor of 36869 and 82296875. 5267 What is the highest common factor of 1410 and 2992215990? 1410 Calculate the highest common divisor of 195 and 24394617. 39 Calculate the greatest common divisor of 206 and 26442263. 103 What is the greatest common divisor of 2601558 and 15741? 1431 What is the greatest common divisor of 23268738 and 44723? 6389 What is the highest common factor of 13667 and 2364865? 79 What is the highest common divisor of 233757706 and 182? 182 Calculate the highest common factor of 4356 and 21724452. 36 Calculate the highest common factor of 5635603 and 3492. 97 Calculate the highest common divisor of 12 and 295862244. 12 What is the highest common divisor of 563775 and 925? 25 Calculate the greatest common factor of 968 and 58743080. 968 What is the highest common divisor of 2363 and 9384? 17 What is the highest common divisor of 375 and 6563175? 75 Calculate the greatest common factor of 4259849 and 88. 11 Calculate the greatest common divisor of 168106868 and 554. 554 What is the highest common divisor of 683152426 and 3938? 3938 Calculate the greatest common factor of 6246560 and 96. 32 Calculate the greatest common factor of 3990970 and 30. 10 What is the greatest common divisor of 134991 and 120999? 159 What is the highest common factor of 837 and 12281921? 31 What is the highest common divisor of 6842494 and 7678? 698 Calculate the greatest common factor of 1236 and 97163814. 618 Calculate the greatest common divisor of 8350718 and 124. 62 What is the greatest common factor of 2663531 and 52? 13 Calculate the highest common divisor of 531683 and 535. 107 What is the greatest common factor of 37413803 and 257? 257 What is the greatest common factor of 840 and 116305? 35 Calculate the greatest common factor of 29115630 and 90. 90 Calculate the highest common divisor of 5 and 140546. 1 Calculate the greatest common divisor of 3813 and 43914. 3 What is the highest common factor of 2591820 and 3220? 140 Calculate the greatest common factor of 6460 and 1200370. 170 What is the greatest common divisor of 9332296 and 4690? 134 Calculate the highest common factor of 1950880 and 1503712. 4384 Calculate the greatest common factor of 48028728 and 2200. 88 What is the greatest common divisor of 42120590 and 90? 10 What is the highest common divisor of 78 and 21774350? 26 What is the highest common factor of 1419 and 183317772? 1419 Calculate the greatest common divisor of 46172 and 23561300. 2716 Calculate the highest common divisor of 727056 and 48. 48 Calculate the greatest common divisor of 93024 and 7668096. 1824 What is the greatest common divisor of 32201 and 3029? 13 Calculate the highest common divisor of 7414 and 1254902. 22 Calculate the highest common factor of 2104 and 83847293. 263 Calculate the highest common factor of 3577659 and 159. 159 Calculate the highest common divisor of 860812 and 12104. 68 What is the highest common factor of 193488 and 420? 12 What is the highest common divisor of 361 and 482740391? 361 Calculate the highest common factor of 4624908 and 1204. 172 What is the greatest common divisor of 39141281 and 41661? 1543 Calculate the greatest common divisor of 2636 and 6646015. 659 Calculate the highest common factor of 9047908 and 1364. 124 Calculate the greatest common divisor of 68365 and 20227. 113 What is the greatest common factor of 109351112 and 812? 116 What is the highest common divisor of 2216580 and 2280? 60 Calculate the greatest common divisor of 913409390 and 10. 10 What is the highest common divisor of 733782890 and 20? 10 Calculate the greatest common divisor of 153 and 5728881. 51 What is the highest common factor of 8371460 and 22855? 3265 What is the greatest common factor of 9296 and 546916216? 4648 Calculate the greatest common factor of 9248 and 37515872. 544 What is the highest common divisor of 47959043 and 44? 11 Calculate the greatest common factor of 21410 and 1137790. 10 Calculate the highest common factor of 3065 and 731217050. 3065 What is the highest common factor of 63666 and 49209102? 2358 What is the highest common factor of 50 and 89484915? 5 Calculate the highest common factor of 8844530 and 125. 5 Calculate the highest common factor of 75151 and 3568. 223 Calculate the greatest common factor of 990420 and 51068. 68 Calculate the greatest common factor of 172033 and 16459439. 2423 Calculate the greatest common divisor of 8351119 and 245. 49 What is the greatest common factor of 364 and 24130925? 91 What is the greatest common factor of 862661 and 161? 23 Calculate the greatest common factor of 225518020 and 980. 140 Calculate the greatest common factor of 79390 and 6205. 85 What is the highest common factor of 48626458 and 4169? 379 Calculate the greatest common divisor of 6494 and 25738. 34 What is the greatest common divisor of 103385 and 182091? 667 Calculate the greatest common divisor of 36649 and 107759. 547 Calculate the highest common factor of 13209 and 3983457. 1887 What is the greatest common factor of 6696 and 15919740? 3348 What is the highest common divisor of 14193764 and 161356? 5564 What is the greatest common divisor of 14 and 162123353? 7 Calculate the highest common factor of 128792 and 1337164. 3788 What is the greatest common divisor of 62674087 and 539? 49 What is the greatest common factor of 45662475 and 1030? 515 What is the greatest common divisor of 856932 and 864? 12 What is the highest common factor of 57717390 and 1068? 534 Calculate the greatest common factor of 1401925 and 10150. 175 Calculate the greatest common factor of 68 and 20378. 2 What is the greatest common divisor of 34496 and 1934912? 3136 What is the highest common divisor of 7828755 and 12342? 561 Calculate the highest common divisor of 26475363 and 894. 447 What is the greatest common factor of 208 and 4780560? 16 What is the greatest common factor of 135101052 and 972? 36 What is the greatest common divisor of 2463565 and 124245? 1255 What is the highest common divisor of 13 and 169130559? 13 Calculate the highest common factor of 41289864 and 3696. 1848 What is the greatest common factor of 274662 and 144036? 18 Calculate the greatest common factor of 475 and 38723350. 25 Calculate the greatest common divisor of 172104 and 62409. 213 Calculate the highest common factor of 1049724 and 253188. 468 Calculate the greatest common divisor of 366978 and 3720. 186 What is the greatest common divisor of 36056251 and 4466? 2233 Calculate the greatest common divisor of 2284 and 796604. 4 What is the greatest common divisor of 266 and 26424383? 19 What is the greatest common divisor of 162357 and 6486? 69 Calculate the highest common factor of 362705 and 435805. 215 Calculate the greatest common divisor of 3478 and 35090. 2 Calculate the greatest common divisor of 1047395 and 375. 5 What is the greatest common factor of 616551691 and 5529? 1843 What is the highest common divisor of 364 and 237894468? 28 Calculate the greatest common factor of 663 and 6912. 3 Calculate the highest common factor of 128 and 984918. 2 Calculate the greatest common factor of 10405581 and 70563. 1641 Calculate the highest common divisor of 13 and 4451633303. 13 Calculate the highest common divisor of 9551012 and 16. 4 What is the highest common factor of 1963 and 5616294? 151 What is the highest common factor of 26327084 and 323? 323 What is the highest common divisor of 981 and 118698057? 981 Calculate the highest common factor of 30 and 6538190. 10 What is the highest co
{ "pile_set_name": "DM Mathematics" }
tes are there between 10:57 PM and 5:03 AM? 366 How many minutes are there between 10:49 PM and 2:58 AM? 249 How many minutes are there between 3:24 PM and 5:58 PM? 154 What is 170 minutes before 2:39 AM? 11:49 PM How many minutes are there between 11:57 AM and 11:12 PM? 675 How many minutes are there between 10:06 AM and 4:52 PM? 406 How many minutes are there between 10:02 PM and 4:14 AM? 372 What is 130 minutes after 8:16 AM? 10:26 AM How many minutes are there between 5:47 PM and 3:29 AM? 582 What is 456 minutes before 10:43 AM? 3:07 AM How many minutes are there between 1:03 PM and 7:17 PM? 374 What is 692 minutes before 2:27 PM? 2:55 AM What is 480 minutes after 5:08 AM? 1:08 PM How many minutes are there between 4:23 AM and 5:03 AM? 40 What is 88 minutes after 10:07 PM? 11:35 PM What is 137 minutes before 9:28 AM? 7:11 AM What is 631 minutes after 11:22 PM? 9:53 AM What is 126 minutes before 5:08 AM? 3:02 AM How many minutes are there between 1:57 AM and 5:57 AM? 240 What is 101 minutes before 12:01 PM? 10:20 AM How many minutes are there between 5:53 AM and 9:20 AM? 207 How many minutes are there between 5:38 AM and 12:46 PM? 428 What is 492 minutes before 3:35 AM? 7:23 PM What is 481 minutes before 2:29 PM? 6:28 AM How many minutes are there between 8:08 PM and 9:10 PM? 62 How many minutes are there between 10:29 AM and 9:16 PM? 647 How many minutes are there between 5:24 PM and 7:27 PM? 123 How many minutes are there between 10:36 AM and 3:40 PM? 304 How many minutes are there between 10:04 AM and 7:53 PM? 589 How many minutes are there between 6:58 PM and 8:35 PM? 97 How many minutes are there between 1:14 PM and 2:21 PM? 67 What is 670 minutes before 2:19 AM? 3:09 PM What is 71 minutes after 10:23 PM? 11:34 PM What is 539 minutes after 12:21 AM? 9:20 AM What is 126 minutes after 11:42 PM? 1:48 AM What is 707 minutes after 3:00 AM? 2:47 PM What is 303 minutes before 4:58 PM? 11:55 AM What is 324 minutes before 5:02 AM? 11:38 PM What is 117 minutes before 7:26 AM? 5:29 AM How many minutes are there between 11:45 AM and 5:38 PM? 353 How many minutes are there between 12:08 PM and 4:57 PM? 289 What is 581 minutes before 8:52 AM? 11:11 PM How many minutes are there between 11:28 PM and 3:42 AM? 254 How many minutes are there between 10:45 AM and 1:14 PM? 149 What is 490 minutes before 8:32 PM? 12:22 PM What is 110 minutes before 11:04 PM? 9:14 PM How many minutes are there between 12:56 PM and 11:07 PM? 611 How many minutes are there between 12:39 AM and 4:39 AM? 240 How many minutes are there between 4:49 PM and 8:55 PM? 246 How many minutes are there between 9:24 PM and 7:35 AM? 611 What is 107 minutes after 11:47 PM? 1:34 AM What is 588 minutes before 12:22 PM? 2:34 AM How many minutes are there between 3:49 AM and 9:07 AM? 318 What is 699 minutes after 12:46 PM? 12:25 AM How many minutes are there between 6:42 PM and 4:27 AM? 585 What is 547 minutes before 6:33 PM? 9:26 AM What is 588 minutes before 7:28 PM? 9:40 AM What is 36 minutes before 12:06 PM? 11:30 AM What is 170 minutes after 5:27 PM? 8:17 PM What is 398 minutes before 3:50 PM? 9:12 AM How many minutes are there between 1:07 PM and 10:31 PM? 564 How many minutes are there between 8:16 PM and 1:39 AM? 323 How many minutes are there between 12:49 PM and 6:56 PM? 367 How many minutes are there between 12:14 PM and 11:29 PM? 675 What is 609 minutes before 7:16 AM? 9:07 PM How many minutes are there between 11:16 AM and 9:41 PM? 625 How many minutes are there between 4:50 PM and 7:55 PM? 185 What is 704 minutes after 10:00 PM? 9:44 AM How many minutes are there between 6:10 PM and 8:18 PM? 128 What is 19 minutes after 12:50 AM? 1:09 AM What is 504 minutes after 2:21 AM? 10:45 AM What is 296 minutes after 12:25 PM? 5:21 PM How many minutes are there between 1:10 PM and 4:00 PM? 170 How many minutes are there between 7:00 AM and 10:37 AM? 217 How many minutes are there between 7:13 PM and 3:26 AM? 493 What is 681 minutes after 11:25 AM? 10:46 PM How many minutes are there between 9:12 AM and 12:55 PM? 223 How many minutes are there between 9:39 AM and 10:29 AM? 50 How many minutes are there between 7:19 AM and 11:33 AM? 254 What is 243 minutes before 4:35 PM? 12:32 PM What is 429 minutes after 6:58 PM? 2:07 AM How many minutes are there between 6:56 AM and 2:38 PM? 462 What is 581 minutes after 6:24 AM? 4:05 PM What is 618 minutes after 12:32 PM? 10:50 PM What is 421 minutes after 5:23 AM? 12:24 PM What is 414 minutes after 7:04 AM? 1:58 PM What is 514 minutes before 9:12 AM? 12:38 AM What is 643 minutes after 9:37 PM? 8:20 AM What is 703 minutes after 2:14 PM? 1:57 AM What is 107 minutes before 2:39 AM? 12:52 AM How many minutes are there between 1:59 AM and 10:27 AM? 508 What is 714 minutes before 9:00 AM? 9:06 PM What is 620 minutes before 7:33 AM? 9:13 PM What is 309 minutes before 4:50 AM? 11:41 PM What is 430 minutes before 12:07 PM? 4:57 AM What is 609 minutes after 4:57 AM? 3:06 PM How many minutes are there between 4:25 PM and 11:13 PM? 408 How many minutes are there between 3:47 PM and 5:44 PM? 117 How many minutes are there between 6:45 PM and 10:57 PM? 252 What is 617 minutes after 4:08 AM? 2:25 PM What is 207 minutes after 10:58 PM? 2:25 AM What is 237 minutes before 7:40 PM? 3:43 PM How many minutes are there between 2:33 AM and 3:24 AM? 51 What is 354 minutes after 11:36 PM? 5:30 AM What is 123 minutes after 8:46 PM? 10:49 PM How many minutes are there between 3:23 AM and 11:44 AM? 501 What is 685 minutes before 3:17 AM? 3:52 PM What is 573 minutes before 4:55 PM? 7:22 AM How many minutes are there between 7:32 PM and 11:45 PM? 253 How many minutes are there between 6:10 AM and 9:41 AM? 211 How many minutes are there between 10:05 AM and 11:16 AM? 71 What is 405 minutes before 9:14 PM? 2:29 PM What is 244 minutes before 11:12 PM? 7:08 PM How many minutes are there between 10:24 PM and 12:05 AM? 101 What is 148 minutes after 2:23 PM? 4:51 PM What is 520 minutes after 3:49 AM? 12:29 PM What is 480 minutes after 11:33 PM? 7:33 AM How many minutes are there between 10:32 AM and 12:27 PM? 115 What is 71 minutes after 5:36 AM? 6:47 AM How many minutes are there between 4:26 PM and 2:43 AM? 617 How many minutes are there between 9:23 AM and 10:51 AM? 88 How many minutes are there between 1:49 PM and 10:17 PM? 508 What is 657 minutes after 8:55 PM? 7:52 AM What is 120 minutes after 10:44 PM? 12:44 AM What is 432 minutes before 8:03 PM? 12:51 PM How many minutes are there between 1:57 PM and 6:36 PM? 279 What is 44 minutes after 5:27 PM? 6:11 PM What is 172 minutes before 2:20 AM? 11:28 PM How many minutes are there between 8:00 PM and 3:10 AM? 430 How many minutes are there between 10:55 AM and 10:23 PM? 688 How many minutes are there between 11:04 PM and 10:35 AM? 691 What is 468 minutes after 10:05 AM? 5:53 PM What is 145 minutes after 9:50 AM? 12:15 PM What is 71 minutes before 9:54 AM? 8:43 AM What is 12 minutes before 1:37 AM? 1:25 AM What is 502 minutes after 9:43 AM? 6:05 PM What is 89 minutes before 3:18 AM? 1:49 AM How many minutes are there between 10:08 AM and 9:56 PM? 708 What is 153 minutes before 1:09 PM? 10:36 AM What is 27 minutes after 7:25 PM? 7:52 PM What is 677 minutes after 7:13 PM? 6:30 AM What is 353 minutes after 6:36 AM? 12:29 PM What is 481 minutes after 6:39 AM? 2:40 PM What is 111 minutes before 1:29 AM? 11:38 PM How many minutes are there between 11:01 PM and 2:15 AM? 194 What is 145 minutes before 7:00 PM? 4:35 PM What is 680 minutes before 4:35 AM? 5:15 PM How many minutes are there between 2:20 PM and 7:52 PM? 332 What is 685 minutes before 5:27 AM? 6:02 PM What is 421 minutes before 9:49 PM? 2:48 PM What is 238 minutes before 9:43 PM? 5:45 PM What is 132 minutes before 2:36 AM? 12:24 AM What is 309 minutes before 6:47 AM? 1:38 AM How many minutes are there between 8:21 PM and 6:57 AM? 636 How many minutes are there between 1:28 AM and 3:11 AM? 103 What is 559 minutes before 12:45 AM? 3:26 PM What is 583 minutes before 1:40 PM? 3:57 AM What is 128 minutes before 9:42 AM? 7:34 AM What is 185 minutes before 1:03 AM? 9:58 PM How many minutes are there between 9:25 AM and 7:07 PM? 582 How many minutes are there between 8:00 AM and 4:08 PM?
{ "pile_set_name": "DM Mathematics" }
ors of 2112109? 73, 28933 What are the prime factors of 11532? 2, 3, 31 What are the prime factors of 462309? 3, 73, 2111 What are the prime factors of 32196097? 167, 192791 What are the prime factors of 1113014? 2, 7, 107, 743 What are the prime factors of 3156454? 2, 7, 225461 List the prime factors of 758777. 71, 10687 List the prime factors of 5173892. 2, 1293473 What are the prime factors of 299566? 2, 101, 1483 What are the prime factors of 2912834? 2, 1456417 What are the prime factors of 1018885? 5, 7, 43, 677 List the prime factors of 7018456. 2, 37, 131, 181 What are the prime factors of 58328? 2, 23, 317 What are the prime factors of 720061? 23, 31307 What are the prime factors of 486789? 3, 162263 List the prime factors of 188052. 2, 3, 15671 List the prime factors of 17549410. 2, 5, 31, 56611 What are the prime factors of 1750735? 5, 7, 50021 List the prime factors of 9390937. 9390937 List the prime factors of 377515. 5, 75503 What are the prime factors of 8648863? 8648863 What are the prime factors of 113873? 23, 4951 List the prime factors of 10845186. 2, 3, 11, 164321 What are the prime factors of 4518716? 2, 1129679 What are the prime factors of 57464? 2, 11, 653 List the prime factors of 6387431. 41, 83, 1877 What are the prime factors of 166068? 2, 3, 7, 659 What are the prime factors of 1248787? 37, 33751 List the prime factors of 4350057. 3, 1450019 List the prime factors of 5209468. 2, 11, 197, 601 List the prime factors of 666312. 2, 3, 27763 What are the prime factors of 10255? 5, 7, 293 List the prime factors of 3489576. 2, 3, 145399 List the prime factors of 5210247. 3, 7, 137, 1811 What are the prime factors of 312409? 17, 23, 47 What are the prime factors of 442598? 2, 13, 29, 587 List the prime factors of 998424. 2, 3, 7, 283 List the prime factors of 481245. 3, 5, 32083 List the prime factors of 295007. 295007 What are the prime factors of 5778583? 2267, 2549 What are the prime factors of 321405? 3, 5, 7, 3061 List the prime factors of 18342655. 5, 3668531 What are the prime factors of 4794887? 43, 111509 List the prime factors of 191073. 3, 63691 What are the prime factors of 493703? 7, 70529 List the prime factors of 8644034. 2, 7, 479, 1289 List the prime factors of 5851. 5851 List the prime factors of 16463570. 2, 5, 1646357 What are the prime factors of 913070? 2, 5, 17, 41, 131 What are the prime factors of 953276? 2, 67, 3557 What are the prime factors of 26382147? 3, 11, 17, 31, 37, 41 List the prime factors of 1067839. 233, 4583 List the prime factors of 531696. 2, 3, 11, 19, 53 List the prime factors of 7031132. 2, 17, 103399 What are the prime factors of 475107? 3, 29, 43, 127 What are the prime factors of 65328? 2, 3, 1361 List the prime factors of 1462362. 2, 3, 11, 22157 What are the prime factors of 22779997? 191, 119267 What are the prime factors of 3180455? 5, 137, 4643 What are the prime factors of 1366380? 2, 3, 5, 7591 List the prime factors of 1367031. 3, 19, 29, 827 What are the prime factors of 3223627? 11, 227, 1291 List the prime factors of 4693733. 11, 53, 83, 97 List the prime factors of 3639901. 359, 10139 List the prime factors of 905263. 101, 8963 What are the prime factors of 144873? 3, 16097 What are the prime factors of 3540342? 2, 3, 13, 45389 What are the prime factors of 8604727? 881, 9767 What are the prime factors of 399754? 2, 199877 List the prime factors of 543442. 2, 163, 1667 What are the prime factors of 106679? 107, 997 What are the prime factors of 387655? 5, 31, 41, 61 List the prime factors of 2767868. 2, 73, 9479 What are the prime factors of 15827250? 2, 3, 5, 47, 449 List the prime factors of 126289. 47, 2687 What are the prime factors of 160017? 3, 11, 13, 373 What are the prime factors of 45057? 3, 23, 653 List the prime factors of 572723. 23, 37, 673 What are the prime factors of 1433383? 7, 23, 29, 307 List the prime factors of 1826288. 2, 114143 What are the prime factors of 6783304? 2, 11, 19, 4057 List the prime factors of 24564676. 2, 103, 109, 547 What are the prime factors of 3453526? 2, 233, 7411 List the prime factors of 3386387. 3386387 What are the prime factors of 659786? 2, 47, 7019 List the prime factors of 1461654. 2, 3, 81203 List the prime factors of 1652021. 7, 23, 31, 331 List the prime factors of 248242. 2, 124121 List the prime factors of 1042934. 2, 53, 9839 What are the prime factors of 10784254? 2, 13, 414779 What are the prime factors of 5282159? 5282159 What are the prime factors of 6008417? 1481, 4057 What are the prime factors of 17890306? 2, 7, 1277879 What are the prime factors of 7506734? 2, 3753367 What are the prime factors of 5349931? 43, 83, 1499 List the prime factors of 81791. 89, 919 What are the prime factors of 307518? 2, 3, 107, 479 List the prime factors of 19412344. 2, 7, 346649 What are the prime factors of 20177741? 1283, 15727 List the prime factors of 557199. 3, 2293 List the prime factors of 5657145. 3, 5, 13, 67, 433 List the prime factors of 4016183. 167, 24049 List the prime factors of 245773. 11, 22343 List the prime factors of 798579. 3, 9859 List the prime factors of 538419. 3, 7, 25639 What are the prime factors of 77458? 2, 38729 List the prime factors of 6556027. 6556027 List the prime factors of 1186075. 5, 11, 19, 227 List the prime factors of 1329176. 2, 166147 What are the prime factors of 1554036? 2, 3, 11, 61, 193 List the prime factors of 8567419. 7, 1009, 1213 List the prime factors of 3490794. 2, 3, 19, 59, 173 List the prime factors of 27089618. 2, 103, 107, 1229 What are the prime factors of 14052770? 2, 5, 23, 61099 What are the prime factors of 696059? 7, 13, 7649 What are the prime factors of 301736? 2, 37717 What are the prime factors of 5069395? 5, 1013879 List the prime factors of 4384877. 7, 19, 32969 List the prime factors of 3939876. 2, 3, 109441 List the prime factors of 220029. 3, 71, 1033 List the prime factors of 531501. 3, 177167 What are the prime factors of 1271795? 5, 7, 29, 179 List the prime factors of 1863498. 2, 3, 7, 13, 3413 What are the prime factors of 3444551? 11, 487, 643 What are the prime factors of 251429? 251429 List the prime factors of 198730. 2, 5, 7, 17, 167 What are the prime factors of 254574? 2, 3, 14143 List the prime factors of 624423. 3, 208141 What are the prime factors of 314417? 229, 1373 What are the prime factors of 23520606? 2, 3, 199, 19699 List the prime factors of 2338192. 2, 317, 461 What are the prime factors of 3600292? 2, 29, 41, 757 What are the prime factors of 329975? 5, 67, 197 What are the prime factors of 689294? 2, 107, 3221 List the prime factors of 2782065. 3, 5, 11, 13, 1297 What are the prime factors of 315120? 2, 3, 5, 13, 101 List the prime factors of 5824445. 5, 11, 105899 What are the prime factors of 4005923? 43, 59, 1579 What are the prime factors of 263818? 2, 131909 What are the prime factors of 8049197? 13, 619169 What are the prime factors of 228332? 2, 13, 4391 What are the prime factors of 27842085? 3, 5, 131, 4723 What are the prime factors of 242398? 2, 13, 9323 List the prime factors of 900817. 900817 List the prime factors of 297002. 2, 148501 List the prime factors of 514405. 5, 102881 List the prime factors of 726264. 2, 3, 7, 11, 131 List the prime factors of 316402. 2, 158201 List the prime factors of 397197. 3, 47, 313 List the prime factors of 714629. 17, 127, 331 List the prime factors of 173753. 239, 727 What are the prime factors of 4119199? 7, 193, 3049 What are the prime factors of 5458180? 2, 5, 7, 13, 2999 List the prime factors of 949368. 2, 3, 7, 5651 List the prime factors of 6350449. 7, 29, 41, 109 What are the prime factors of 6306174? 2, 3, 7, 67, 83 List the prime factors of 388535. 5, 7, 17, 653 What are the prime factors of 7231583? 7231583 What are the prime factors of 2569304? 2, 321163 List the prime factors of 16236360. 2, 3, 5, 7, 17, 379 What are the prime factors of 3001077? 3, 41, 2711 What are the prime factors of 1392032? 2, 41, 1061 What are the prime factors of 12818058? 2, 3, 11, 29, 37, 181 List the prime factors of 6755. 5, 7, 193 List the prime factors of 470058. 2, 3, 157, 499 List the prime factors of 135722. 2, 79, 859 What are the prime factors of 2511916? 2, 11, 57089
{ "pile_set_name": "DM Mathematics" }
- 35088 - 35053 + 105205. -29*g**2 Collect the terms in -1558*p**2 + 416*p**2 + 28*p**2 - 763*p**2 - 489*p**2. -2366*p**2 Collect the terms in 1804*h**3 + 2352*h**3 - 4093*h**3. 63*h**3 Collect the terms in 69626*l - 23320*l - 23528*l - 23196*l. -418*l Collect the terms in 206*l**3 + 215*l**3 - 440*l**3 - 5*l**2 + 132*l**3 + 5*l**2. 113*l**3 Collect the terms in -1414 - 5*p - 324 + 4*p + 260 + 4*p. 3*p - 1478 Collect the terms in -944*v - 2*v**3 - 203 + 4*v**3 + 913*v - 112. 2*v**3 - 31*v - 315 Collect the terms in -71*o**2 + 1120692559 - 1120692559. -71*o**2 Collect the terms in 2506*y**2 - 868*y**2 - 840*y**2 - 842*y**2 - 2 + 2. -44*y**2 Collect the terms in -397*f**2 + 1183*f**2 - 413*f**2 - 411*f**2. -38*f**2 Collect the terms in 138932877*h - 215*h**3 - 138932887*h + 219*h**3. 4*h**3 - 10*h Collect the terms in -264063*y**2 - 1 + 1 + 1024588*y**2. 760525*y**2 Collect the terms in -4005*f + 144291 - 144291. -4005*f Collect the terms in -24038 + 24038 - 423*o - 2500*o. -2923*o Collect the terms in 761*i - 870*i - 982 + 984. -109*i + 2 Collect the terms in -32*x**2 - 97*x**2 + 197*x**2 - 49*x**2 - 89*x**2. -70*x**2 Collect the terms in -75152*p + 197*p - 2 - 54640*p - 77551*p. -207146*p - 2 Collect the terms in 8 + 2*t + 6 + 25448*t**3 - 5 - 9. 25448*t**3 + 2*t Collect the terms in 169*q**3 + 165*q**3 + 2*q**2 + 6*q - 26*q - 315*q**3 - 2*q**2. 19*q**3 - 20*q Collect the terms in 31 + 28 - 21 - 264*p - 40. -264*p - 2 Collect the terms in 6370*g**2 + 6349*g**2 + 6363*g**2 - 19095*g**2. -13*g**2 Collect the terms in 18502*r - 11575*r + 10174*r + 27064*r. 44165*r Collect the terms in 1153 + 14*z + 18*z - 1153 + 132*z - 140*z. 24*z Collect the terms in -471*l**2 + 5*l - 5*l + 1595*l**2. 1124*l**2 Collect the terms in -1869150*g**2 + 1528936*g**2 + 4870864*g**2 + 1755904*g**2. 6286554*g**2 Collect the terms in -33 + 4976*w**2 + 83 - 50. 4976*w**2 Collect the terms in -74*z**3 - z**2 + 156*z + z**2 + 174*z - 330*z + 99*z**3. 25*z**3 Collect the terms in 14493*w - 8169*w + 16277*w + 3353*w + 12357*w. 38311*w Collect the terms in -86*j**2 - 168*j**3 - 2 + 86*j**2 + 3*j - 1 + 1. -168*j**3 + 3*j - 2 Collect the terms in -679*g + 1973*g - 524*g - 696*g. 74*g Collect the terms in -4933*l + 1664*l + 2 - 2 + 1609*l + 1672*l. 12*l Collect the terms in 65 - 6*g + 62 - 279 + 71 + 68. -6*g - 13 Collect the terms in 1962*h**3 + 631*h**3 + 812*h**3 - 4861*h**3. -1456*h**3 Collect the terms in 402*k - 13*k**3 + 76*k**3 - 61*k**3. 2*k**3 + 402*k Collect the terms in -4574 + 1525 + 1525 + 722*y**2 + 1524 - 2*y. 722*y**2 - 2*y Collect the terms in -1509*p**2 - 154*p**2 + 3682 - 3690. -1663*p**2 - 8 Collect the terms in 18*n - 5*n + 200 - 390 + 2*n + 4*n + 187. 19*n - 3 Collect the terms in -6*n**3 - 5*n**3 + 71142 - 71150. -11*n**3 - 8 Collect the terms in -7593*u**2 - 7103*u**3 + 7104*u**3 + 7593*u**2. u**3 Collect the terms in -50304*v**3 - 7286 + 50274*v**3 + 7286. -30*v**3 Collect the terms in -1399*x + 599*x + 791*x + 7 - 1. -9*x + 6 Collect the terms in -43 - 720*y - 721*y + 2150*y - 2*y**2 - 711*y + 158. -2*y**2 - 2*y + 115 Collect the terms in -15*j**2 - 153 + 13*j**2 - 49 + 61*j**3. 61*j**3 - 2*j**2 - 202 Collect the terms in -49183*r**2 + 25051*r**2 + 24148*r**2. 16*r**2 Collect the terms in 310*v**2 - 319*v**2 + v**2 + 3*v**2 - 3 + v**2. -4*v**2 - 3 Collect the terms in 375*i**3 - 373*i**3 - 619*i**3 - 474*i**3 - 2764*i**3. -3855*i**3 Collect the terms in -907*t**2 + 18 + 1751*t**3 - 18. 1751*t**3 - 907*t**2 Collect the terms in -482*a - 1504*a + 2 + 7 - 9. -1986*a Collect the terms in 126 - 4 - 100 + 7*f - 23 - 9*f. -2*f - 1 Collect the terms in -3*g**2 - 16091*g**3 + 3*g**2 + 8036*g**3 + 8040*g**3. -15*g**3 Collect the terms in 10949*n + 8769*n - 21386*n. -1668*n Collect the terms in -332*i**2 - 704*i**2 + 259*i**2 - 305*i**2 - 188*i**2. -1270*i**2 Collect the terms in -18*h + 24 - 297 + 89 + 81 + 103 + 13*h. -5*h Collect the terms in 308348*h - 102781*h - 102807*h - 102758*h. 2*h Collect the terms in 1025*f - 1146*f + 118*f. -3*f Collect the terms in -397*f + 107*f - 3 + 98*f + 3 + 95*f + 105*f. 8*f Collect the terms in -10*g - 5 + 10069*g**2 + 3 + 11*g. 10069*g**2 + g - 2 Collect the terms in 3453*r**2 - 1593*r**2 - 33458*r**2. -31598*r**2 Collect the terms in -707*z - 707*z + 2864*z - 743*z - 710*z. -3*z Collect the terms in -1517*f**3 + 6819 - 636*f**3 - 6819. -2153*f**3 Collect the terms in -34*n + 190*n + 8*n + 359 - 1095. 164*n - 736 Collect the terms in 3128 + 7*n**2 + 3136 - 6266 + 1202*n. 7*n**2 + 1202*n - 2 Collect the terms in 3*x**3 + 8*x**2 - 9 - 45 + 88 - x**2 - 34. 3*x**3 + 7*x**2 Collect the terms in -340525*y - 340515*y - 340518*y - 8 + 1021567*y. 9*y - 8 Collect the terms in -141 - 95*x**2 - 2*x - 8 + 96*x**2 - 88. x**2 - 2*x - 237 Collect the terms in -3391*l + 1638*l + 1831*l. 78*l Collect the terms in 27 - 76 + 1198 - f - 395 + 1345 + 627. -f + 2726 Collect the terms in -54*v**2 + 1063962478 - 1063962478. -54*v**2 Collect the terms in 86604*o**2 + 230178*o**2 + 585679*o**2 - 126574*o**2. 775887*o**2 Collect the terms in -13 - 4*h - 2*h - 25 - 10*h + 24*h - h. 7*h - 38 Collect the terms in -2599598*u - 137 + 137. -2599598*u Collect the terms in a + 2468*a**2 - a + 9094*a**3 - 9093*a**3. a**3 + 2468*a**2 Collect the terms in -3391 - 1933 + 10852 - r. -r + 5528 Collect the terms in -1053223 - 736*o**2 + 1053223 + 5314*o**2. 4578*o**2 Collect the terms in -6 + 6*s**2 + 34538*s - 15 + 16 - 34538*s + 5. 6*s**2 Collect the terms in -10394 + 5218 - 631*c + 5176. -631*c Collect the terms in -23317*w**3 + 46492*w**3 - 23169*w**3. 6*w**3 Collect the terms in -126*v**2 + 8*v**2 + 28*v**2 + 5*v**2 + 34*v**2 - 8*v**2. -59*v**2 Collect the terms in -125*w**2 + 5*w**3 + 125*w**2 - 56*w + 118*w. 5*w**3 + 62*w Collect the terms in -95*u**3 + 86 + 4532*u + 83 - 169 - 4532*u. -95*u**3 Collect the terms in -210*x - 386*x + 600*x - 357*x - 133*x. -486*x Collect the terms in -1285*a - 1307*a - 1284*a + 2 + 4003*a. 127*a + 2 Collect the terms in 459*x + 529*x - 310*x + 1400*x. 2078*x Collect the terms in 74*q**3 - 19 - 96 + 115 - 404*q**3. -330*q**3 Collect the terms in -3*a + 12*a + 311*a**3 - 6*a - 3*a - 383*a**3. -72*a**3 Collect the terms in 2 + 794*j**3 - 2 - 747*j + 327*j + 420*j. 794*j**3 Collect the terms in -272073*o**2 + 132297 + 272082*o**2 - 132297. 9*o**2 Collect the terms in -7568*q**2 + 6*q**3 + 15139*q**2 - 141*q**3 - 7571*q**2. -135*q**3 Collect the terms in 1 + 30*f - 155*f + 35*f + 11*f + 40*f + 31*f - 6. -8*f - 5 Collect the terms in 40*p**2 - 5*p + 2790657 - 2790657. 40*p**2 - 5*p Collect the terms in -735*z - 819*z + 3953*z - 798*z - 806*z - 802*z. -7*z Collect the terms in 9*m + 19*m + 6*m**3 + 15*m**3 - 30*m**3 + 13*m**3 - 28*m. 4*m**3 Collect the terms in -992*a**3 + 18 + 26 - 44 + 9828*a**3. 8836*a**3 Collect the terms in -6*o + 2086*o**3 + 2091*o**3 + 2081*o**3 + 2090*o**3 - 8352*o**3 - 41*o**2. -4*o**3 - 41*o**2 - 6*o Collect the terms in 28*c - c**2 + 320*c - 350*c + c**2 + 24 - 32*c**3. -32*c**3 - 2*c + 24 Collect the terms in 4 + 29*a + 3 + 0*a - 6*a + 0*a. 23*a + 7 Collect the terms in -3024 + 89*k + 998 + 801 + 977. 89*k - 248 Collect the terms in 275853*t**3 - 138119*t**3 - 137897*t**3. -163*t**3 Collect the terms in -114956086 - 32*u + 114956086. -32*u Collect the terms in -162 - 23 - 29 - 255*o - 36 + 250. -255*o Collect the terms in -18 + 39*d + 14 + 6*d + 10*d + 8. 55*d + 4 Collect the terms in 230*t**2 + 13*t - 18*t + t + 3*t. 230*t**2 - t Collect the terms in 66*d**2 + 2508*d - 84*d**2 + 34*d**2 - 2508*d. 16*d**2 Collect the terms in 271*i - 149*i - 58*i - 178*i - 54*i. -168*i Collect the terms in 5*w**3 - 73 - 47*w - 27 + 5*w**3 + 14. 10*w**3 - 47*w - 86 Collect the terms in 868*t**2 - 1438*t**2 - 5058*t**2 - 1298*t**2 + 358*t**2. -6568*t**2 Collect the terms in -3134*j - 3132*j - 3140*j + 0 + 9404*j - 5. -2*j - 5 Collect the terms in 338*q + 327*q - 7*q**2 + 120*q - 785*q. -7*q**2 Collect the terms in -1 + 34*s**2 + 36*s**2 - 76*s**2 + 12302*s. -6*s**2 + 12302*s - 1 Collect the terms in -737044 - 737042 - 69*v + 1474084. -69*v - 2 Collect the terms in -85038 + 42503 + 42502 + 2*w - 4*w + w + 0*w. -w - 33 Collect the terms in 5265 - 15767 + 5246 + h + 5255. h - 1 Collect the terms in 2*r**3 - 431*r + 117*r**2
{ "pile_set_name": "DM Mathematics" }
y(d). What is the third derivative of j(u) wrt u? -4200 Let h(b) = -5*b**2 + 1. Let k(t) = 52*t**3 - 15*t**2 + 56. Let a(r) = -12*h(r) + 4*k(r). Differentiate a(c) with respect to c. 624*c**2 Let w(t) = -14*t + 116. Let o be w(8). What is the second derivative of 32*f**o - 25*f - 53*f - 6*f wrt f? 384*f**2 Let x(q) = 3270*q**2 + 43*q - 2264. Let b(p) = 6541*p**2 + 92*p - 4529. Let i(f) = -7*b(f) + 15*x(f). Find the second derivative of i(g) wrt g. 6526 Let o(h) = -11*h - 400. Let l be o(-37). Find the third derivative of -17*r**5 + r**2 + 5*r**5 + 217*r**2 - l*r**5 wrt r. -1140*r**2 Let p(t) be the first derivative of -t**5/5 + 225*t**4/4 - 4084*t**3/3 - 1537. Find the third derivative of p(u) wrt u. -24*u + 1350 Let l(i) = -i**3 - i**2 - i - 1. Let c(x) = -254*x**4 + 3*x**3 + x**2 + 1583*x + 1. Let d(q) = c(q) + l(q). What is the second derivative of d(n) wrt n? -3048*n**2 + 12*n Let d(h) be the second derivative of -9*h - 8 - 77/6*h**3 + 0*h**2 + 22/3*h**4. What is the second derivative of d(u) wrt u? 176 Let y = -896 - -898. Find the third derivative of -28 + 53 + 250*m**y - 10*m**6 + 2*m**3 - 25 wrt m. -1200*m**3 + 12 Let d = -475 - -478. Differentiate 214*a - 28 - 128*a - d - 14 + 7 wrt a. 86 Let n(t) be the first derivative of 1671*t**5/5 + 1024*t + 2191. Differentiate n(o) wrt o. 6684*o**3 Let l(w) = -w**3 - 44*w**2 - 2*w - 38. Let j be l(-44). Find the third derivative of -50*c**3 + 223*c**5 + j*c**3 + 61*c**2 + 36*c**2 wrt c. 13380*c**2 Let j(g) = 516*g**6 - 3*g**4 + 4*g**2 - 3*g - 1. Let w(h) = h**4 - 2*h**2 + h. Let i(u) = -j(u) - 3*w(u). Find the third derivative of i(p) wrt p. -61920*p**3 Suppose 3*y = -3*y - 48. Let r = y - -24. What is the third derivative of -4*s**6 - 2*s**6 - r*s**2 + 9*s**6 wrt s? 360*s**3 Let m(v) = 15102*v**3 - 7757*v**2 - 258*v - 3. Let q(k) = k**3 + k**2 + 86*k + 1. Let g(f) = -m(f) - 3*q(f). What is the third derivative of g(j) wrt j? -90630 Let q(w) be the third derivative of 361*w**6/12 - 2108*w**3/3 - 4*w**2 + 208. Differentiate q(r) wrt r. 10830*r**2 Let g(a) = -40*a - 40. Let h be g(-4). Differentiate -318 + h*b + 129 + 135 with respect to b. 120 What is the third derivative of 644*n**2 + 644*n**3 - 792*n - 1 - 787*n + 1579*n wrt n? 3864 Let b(g) = -2*g**2 + 19*g + 3. Let s be b(9). Find the first derivative of -10 + 31 + 136*w + 0 + 44 + s wrt w. 136 Let s be (-40)/(-12)*126/35. Differentiate 160 + 23*f**4 + 88 + s*f**4 - 79 with respect to f. 140*f**3 Let m(c) be the second derivative of -198*c**5/5 - 383*c**3 + 2*c - 142. Find the second derivative of m(t) wrt t. -4752*t Let y(x) = -303*x - 325. Let g(w) = -11*w - 10. Let c(o) = -8*o - 7. Let u(h) = 4*c(h) - 3*g(h). Let b(p) = -u(p) - y(p). Differentiate b(a) with respect to a. 302 What is the third derivative of 844*u**2 + 2410*u**4 - 801*u**2 - 25 - 29*u**3 + 29*u**3 wrt u? 57840*u Find the first derivative of -400*u + 1748*u + 1152*u - 240 wrt u. 2500 Let g(m) be the second derivative of 151/28*m**8 + 0*m**2 + 0 + 151/6*m**4 + 0*m**7 + 73*m + 0*m**5 + 0*m**6 + 0*m**3. Find the third derivative of g(y) wrt y. 36240*y**3 Let p(t) be the first derivative of 0*t**4 - 155/2*t**2 - 2/3*t**3 + 6/5*t**5 + 0*t + 2/3*t**6 - 115. What is the third derivative of p(i) wrt i? 240*i**2 + 144*i Let w(o) be the third derivative of 154*o**2 - 19/70*o**7 + 0*o**3 + 0*o**4 + 0*o**6 - 41/60*o**5 + 0 + 0*o. Find the third derivative of w(s) wrt s. -1368*s Let a(i) be the first derivative of 0*i + 0*i**4 + 0*i**2 - 1/6*i**6 + 27/5*i**5 + 109/3*i**3 - 140. What is the third derivative of a(l) wrt l? -60*l**2 + 648*l What is the second derivative of 3913*s**2 - 6391*s**2 - 2918*s**2 + 5939*s wrt s? -10792 Let x = -31 - -36. Suppose -2*t = x*t. What is the second derivative of t*y**3 - 2*y + 5*y - 16*y**3 wrt y? -96*y Let r = 5034 - 5030. Let k(u) be the second derivative of -10*u**2 + 0 - 17*u + 0*u**r + 0*u**3 + 1/10*u**5. Find the first derivative of k(x) wrt x. 6*x**2 Suppose -241 = -6*a - 127. Differentiate a - 13 + 7*y + 57 + 2*y with respect to y. 9 Differentiate 990*v**4 - 411 + 17*v**2 - 39*v**2 - 1075*v**4 - 4*v**3 + 4*v**3 wrt v. -340*v**3 - 44*v Let c(r) be the first derivative of -417*r**4/4 - 10*r**3/3 - 13*r - 308. What is the third derivative of c(i) wrt i? -2502 Find the third derivative of 4511*w**6 - w - 12693*w**2 - 3*w**3 + 5*w**3 - 2668*w**6 + w wrt w. 221160*w**3 + 12 Let u(l) be the first derivative of 26*l**5/5 - l**3/3 + 1363*l**2 - 1597. Find the second derivative of u(q) wrt q. 312*q**2 - 2 Let i = -45 - -43. Let r(c) = -92*c**2 - 147*c - 5. Let t(x) = 46*x**2 + 74*x + 2. Let d(b) = i*r(b) - 5*t(b). What is the second derivative of d(f) wrt f? -92 Let t be 1*-1*(0 + 0). Suppose t = -135*u + 130*u. What is the first derivative of -10*z**3 + u + 20*z**3 + 1 wrt z? 30*z**2 Let d = 7672 + -7672. Let o(w) be the second derivative of -17/6*w**3 - 22*w + 0 + 0*w**2 + d*w**4 + 7/20*w**5. Find the second derivative of o(m) wrt m. 42*m Let j(z) be the second derivative of -1151*z**4/6 - 1115*z**2 + 678*z. What is the first derivative of j(i) wrt i? -4604*i Let k(t) = 2*t**4 + 45*t**3 + 8*t**2 + 18268*t. Let m(w) = -15*w**3 - 3*w**2 - 6089*w. Let o(g) = -4*k(g) - 11*m(g). Find the second derivative of o(r) wrt r. -96*r**2 - 90*r + 2 What is the third derivative of -4*d**2 + 79 - d**2 + 476*d**3 - 109 - 141 wrt d? 2856 Let r(u) be the first derivative of -45*u + 7 - 1/2*u**2 + 13/3*u**3. Find the second derivative of r(n) wrt n. 26 Let q(f) be the second derivative of f**6/10 - 951*f**5/20 - f**3/3 + 1456*f**2 + 678*f. Find the second derivative of q(n) wrt n. 36*n**2 - 5706*n Let i(h) = -728*h**3 + 7*h**2 + 11*h - 2023. Let u(w) = -365*w**3 + 3*w**2 + 6*w - 1009. Let b(a) = 3*i(a) - 7*u(a). Differentiate b(r) with respect to r. 1113*r**2 - 9 Suppose -15*d = -33 - 12. Find the third derivative of -44*c**2 + 11*c**6 + 52*c**2 - 5*c**6 - 3*c**d + 4*c**6 wrt c. 1200*c**3 - 18 Let m(y) be the first derivative of -1870*y**2 - 84*y - 2484. Differentiate m(h) with respect to h. -3740 Let s(w) be the first derivative of -1363*w**5/5 + w**3/3 + 1603*w**2 - 1091. What is the second derivative of s(m) wrt m? -16356*m**2 + 2 Find the second derivative of 71 + 17*q + 152 - 535*q**2 - 19 - 72 wrt q. -1070 Let n(f) be the third derivative of f**8/4 - f**6/60 + 64*f**4/3 + 1400*f**2. What is the second derivative of n(u) wrt u? 1680*u**3 - 12*u Let j be 3 - 45/(30 - 15). Let y(b) be the first derivative of 17 - 6*b**2 + j*b - 10/3*b**3. Find the second derivative of y(d) wrt d. -20 What is the second derivative of 9*x - x**4 - 21 - 137*x**3 + 12*x + 17*x + x**2 - 20*x wrt x? -12*x**2 - 822*x + 2 What is the derivative of -24*d**4 - 24*d**3 - 25*d**4 - 973 + 58*d**4 - 6*d**4 wrt d? 12*d**3 - 72*d**2 Suppose 17*i - 56 = 3*i. Suppose -i*v + 12*v = 760. Find the third derivative of -37*h**5 + v*h - 95*h - 47*h**2 wrt h. -2220*h**2 Let v(d) = -76*d + 38*d + 65*d - 92. Let q(y) = -57*y + 185. Let l(f) = 6*q(f) + 11*v(f). Differentiate l(u) with respect to u. -45 Differentiate -7084 - 664*h**2 + 7460 - 612*h**2 wrt h. -2552*h Let z be 1/3 + (-72)/(-27). Suppose 4*y - 16 = 0, -2*y = z*p - 5*y + 6. Find the third derivative of 7*w**2 - 14*w**5 + 7*w**2 + 0*w**p wrt w. -840*w**2 Find the second derivative of 411*k**5 - 143*k + 160*k**5 - 2 + 355*k - 9*k - 4 wrt k. 11420*k**3 Let k(p) be the second derivative of 5 + 2*p - 11*p**2 + 65/3*p**3. What is the first derivative of k(g) wrt g? 130 Let x(d) be the third derivative of 0*d + 0*d**5 + 227/6*d**3 - 47/70*d**7 + 0*d**4 + 0 - 275*d**2 + 0*d**6. What is the first derivative of x(b) wrt b? -564*b**3 What is the second derivative of -8*d**3 + 24951*d + 1897*d**5 + 6 - 24920*d + 8*d**3 + 850*d**5 wrt d? 54940*d**3 What is the derivative of 1158 + 608*m**3 + 904*m**3 + 271 wrt m? 4536*m**2 Let a(t) be the second derivative of 0*t**2 - 1/6*t**4 + 0 - 13/4*t**5 + 50*t + 10/3*t**3. Find the third derivative of a(n) wrt n. -390 Let o = -17 - -20. What is the third derivative of -3*c**2 - 114*c**3 - 3 - 124*c**o - 10*c**2 + 251*c**3 + 12*c**4 - 4 wrt c? 288*c + 78 Let s(p) be the third derivative of -p**5/15 - 767*p**4/24 + 1425*p**3/2 + 1142*p**2. What is the first derivative of s(b) wrt b? -8*b - 767 Let g(m) be the second derivat
{ "pile_set_name": "DM Mathematics" }
-5022*z**5 Expand (30 - 11 + 13)*(2 - 2*j - 2) + (-j - j + 4*j)*(5 + 2 - 4) + (-6 + 2 - 5)*(j - 2*j + 3*j) - 3*j - 2*j + 4*j. -77*j Expand -q**3 + 3*q**5 + q**3 + (-q**5 - 2*q**5 + 4*q**5)*(-3 + 0 + 4) + 0*q**5 - 6*q**5 + 3*q**5 + (0 + 8 - 2)*(682*q**2 + 232*q**5 - 682*q**2). 1393*q**5 Expand -l**4 + 3*l**4 - l**4 - 60*l**4 - 732*l**3 + 732*l**3 + (-3*l - l + 3*l)*(l**2 - l**2 + 3*l**3). -62*l**4 Expand -131*p**5 + 275*p**4 - 275*p**4 + (-9*p**2 + 15*p**2 - 14*p**2)*(p**3 - 3*p**3 + p**3) + p**5 - 4*p + 4*p. -122*p**5 Expand (13 + 12 + 33)*(628*x - 628*x - 53*x**3) - x**3 + 5*x**3 - 2*x**3 + (-2 + 0 + 1)*(5*x**3 - 2*x**3 - 5*x**3) + 3*x - 3*x - x**3 - x**3 + 0*x + 0*x. -3072*x**3 Expand (2 + 3*f - 2)*(0 + 2 - 1) - 2778*f + 4076*f + 4151*f. 5452*f Expand (26*t + 1 - 56*t + 23*t)*(t**4 - 3*t**4 + t**4 + (4*t - 4*t - t**3)*(-3 - 2*t + 3) - t**3 + t**3 + 2*t**4 - 2*t + 2*t + t**4 - 3*t**4 - t**4 + t**4). -7*t**5 + t**4 Expand (-944*j**4 + 3*j**3 - 135*j**3 + 951*j**4)*(6*j - j - j). 28*j**5 - 528*j**4 Expand (-3*j**3 + j**2 - j**2)*(2 - 1 - 4) + 21*j**3 - 7*j**3 + 91*j**3. 114*j**3 Expand 3964*w - 1484*w - 1514*w + (-4*w + 3*w + 2*w)*(-2 + 0 + 3). 967*w Expand 2*s**5 + 3*s**5 - 3*s**5 + 3*s**5 + 12*s**5 - 5*s**5 + (-s**4 + 4*s**4 - 2*s**4)*(-5*s - 8*s - 2*s) + 3*s**5 - 3*s**5 - 5*s**5. -8*s**5 Expand (-7*s**3 + 2*s**3 - s**3)*(39*s + 51*s - 3*s + 21*s). -648*s**4 Expand 0*f**2 + f**2 + f**2 + 88*f**2 - 42*f**2 - 66*f**2 + 0*f**2 + 3*f**2 - 2*f**2 + (3 + 4*f**2 - 3)*(1 - 1 - 3). -29*f**2 Expand -4*x**2 + 2*x**2 + 0*x**2 - x - x**2 + x + (5*x - 3*x - 4*x)*(2*x + 2*x - 3*x) + 1 + 2*x**2 - 1 + 311*x**2 - 28*x**2 - 101*x**2. 179*x**2 Expand 126 + 269 - 1102*l + 1109*l - 43 + 302 + 2 - 2 - 3*l + (0*l - 5*l + 4*l)*(-5 + 3 + 3). 3*l + 654 Expand ((3 - 7 + 3)*(1 - 3 + 1) + 2 + 4 - 3 + 19 - 22 - 93 + 4 - 1 - 2)*(-22*f - 12*f - 13*f + 2*f + 2*f - 6*f + (-3*f + 0*f + 5*f)*(-3 + 5 + 0)). 4095*f Expand (q - 2*q**3 - q)*(3*q**2 - 2*q**2 + q**2) - 2*q**5 + 2*q**5 + q**5 + (5*q**2 - q**2 - q**2)*(-3*q**2 + 23*q**3 + 1 - 4*q**2 + 5*q**2). 66*q**5 - 6*q**4 + 3*q**2 Expand 5*g**5 + 3*g**5 - 4*g**5 + 5*g**5 - g**5 - g**5 + (2*g**3 - 3*g**2 + 3*g**2)*(2*g**2 + 0*g**2 - 4*g**2) + 2*g**5 - 51*g**4 - 119*g**4 + 0*g**5. 5*g**5 - 170*g**4 Expand (15944 + 1373*k - 15944)*(-k + 0*k + 3*k) + (1 - 7 + 4)*(-k**2 - k + k). 2748*k**2 Expand (t + 0*t + 0*t)*(-505*t - 398*t - 283*t + 294*t). -892*t**2 Expand (1 - 1 + 2*z**2)*(979 - 349 - 451) + (-z - 2*z + 4*z)*(z + 1 - 1). 359*z**2 Expand (0 - 2 + 0 + (3 - 4 + 2)*(-6 + 0 + 1) - 349 + 112 - 31)*(-f**3 + 4*f**2 - 4*f**2). 275*f**3 Expand (-9849*m**2 - 1060*m**2 - 13241*m**2 + 3462*m**2)*(5 - 5 + m**2). -20688*m**4 Expand (2903*j + 1484*j + 38 - 36)*(-7*j + 6*j + 0*j). -4387*j**2 - 2*j Expand (0*z - z - z)*(4 + 0 - 2) + (-3 + 0 + 2)*(4519*z - 35022 + 35022). -4523*z Expand 748*p**2 - 1507*p**2 + 757*p**2 + 37 + 3 - 3 - 4*p**2 + (-6*p + 2*p + 2*p)*(5*p - 3*p + p). -12*p**2 + 37 Expand (1 + 2 + 0)*(-5*t + 5*t + t + (-2 - 3*t + 2)*(-4 - 1 + 2) + 5 - 5 + t + 2*t - t - 3*t). 27*t Expand 5 - 5 + 4*q + (-2*q + 4*q - 4*q)*((3 - 5 + 4)*(0 + 0 - 1) - 1 + 0 - 1)*(1 - 1 + 1)*(2 - 4 + 3)*(2 - 3 + 2). 12*q Expand (-16*s**3 - s**3 - 12*s**3)*(0*s**2 - 2*s**2 + 4*s**2) + (s - s - 6*s**2)*(-2*s + 0*s + 0*s)*((-s - 2*s + 2*s)*(-1 + 1 - 2*s) + 8*s**2 - 4*s + 4*s). 62*s**5 Expand 138*s**2 - 63*s**2 + 100*s**2 + (2 - 2 - 5)*(4*s**2 + 4*s - 4*s). 155*s**2 Expand (-839*n - 257*n + 608*n**3 - 607*n**3)*(-3 - 5 + 4)*(-2*n**2 - 2*n**2 + 2*n**2). 8*n**5 - 8768*n**3 Expand (-20 + 20 + 2*t)*(2 + 2 - 6)*(-20 + 603*t + 26 - 6). -2412*t**2 Expand -176 + 36*q + 176 + (3 + 2 - 3)*(-3 + 2*q + 3) - 5*q - 12*q + 48*q. 71*q Expand (-6*g + 3*g + g)*(-31388 + 31388 - 1850*g)*(0 + 1 - 3). -7400*g**2 Expand (-21 + 10*v + 4*v - 12*v)*(2 - 2 - 3*v**2). -6*v**3 + 63*v**2 Expand (1 - 20*c**3 - 3*c**3 + 7*c**3)*(-11 + 368 + 119 + 76). -8832*c**3 + 552 Expand (-8*y + 24*y + 2 - 18*y)*(-571 - 397 - 394 + 492). 1740*y - 1740 Expand (2*x**2 + 2*x**2 - x**2)*(-2*x**2 + 2*x**2 + x**3) + 4 + 2*x**5 - 4 + 13*x**5 - 6*x**5 + 0*x**5 + 8*x**5 - 7*x**5 - 36*x**5. -23*x**5 Expand (0*w + 0*w + 2*w**2)*(2*w + 5*w - 6*w) - w**3 - 1 + 1 + 5*w**3 + w**3 - 3*w**3 + 21812*w - 21812*w - 12 - 64*w**3. -60*w**3 - 12 Expand (4*m**3 - 41*m**4 - 4*m**3)*(36 - 12 + 66)*(1 + 0 - 3). 7380*m**4 Expand 120*a + 279*a - 91*a + ((0 - 1 - 1)*(1 - 5 + 2) - 2 + 1 + 4)*(-3*a + 33 - 33). 287*a Expand (23*g**2 + 2*g**2 + 7*g**2)*(-8*g**2 + 6*g**2 - 28*g + 13*g**2). 352*g**4 - 896*g**3 Expand (-105*c + 37*c + 4*c**2 + 28*c)*(82 - 26*c - 82). -104*c**3 + 1040*c**2 Expand (-b + 3*b - b)*(-3*b**2 + 6*b**2 - 4*b**2) - 3*b**3 + 2*b**3 - b**3 + 5*b**3 + b**3 - 5*b**3 + (-3*b**2 + 3*b**2 - b**3)*(-108 - 140 - 59). 305*b**3 Expand (2*y + 3 - 3)*(-43 - 21*y + 43)*(3*y**3 + 6*y**3 - 2*y**3)*(2 - 1 + 0). -294*y**5 Expand (-y + 2*y - 2*y)*(-2 + 2 + 4) + (-1 + 2 + 2)*(16*y - y - 40*y). -79*y Expand (-27 - 1 - 8)*(20*o + 58*o - 17*o). -2196*o Expand (1 - 1 - x)*(-x**2 + 2*x - 2*x) + (-2*x**3 + x**3 + 2*x**3)*(-4697 - 1788 + 572). -5912*x**3 Expand (96 - 96 + 6*z**4)*(5*z + 2 - 2 + (-z + 0*z + 2*z)*(-4 + 6 - 1) + 0*z + 3*z - 5*z + z + z - z)*(-3 + 1 + 4). 60*z**5 Expand 1 - 1 - o**3 + (3 + o - 3)*(9 - 9 + 6*o)*(96*o + 48*o - 88*o). 335*o**3 Expand (6*c**3 + c**3 - 4*c**3)*(-3*c**2 + 5*c**2 - 3*c**2) + 43*c + 26*c**5 - 43*c. 23*c**5 Expand (p - p - 2*p**3)*(0*p - 5*p + p)*(-2 - 4 + 4)*(4 + 0 + 0) - 485*p - p**4 + 485*p - 4*p**3. -65*p**4 - 4*p**3 Expand (0*v + v - 9*v)*(407*v - 207*v - 266*v). 528*v**2 Expand (d**4 - 4*d**4 + 20*d**4)*(-1 + 0 - 4) + 5*d**4 + d - d + d**2 + 3*d**4 - 2 + 2. -77*d**4 + d**2 Expand 2*q + 2*q**3 - 2*q + (-3*q**2 + 990*q - 29*q**3 + 41*q**3 - 979*q)*(2 - 1 + 1)*(2 + 4 - 4). 50*q**3 - 12*q**2 + 44*q Expand (-44 - 67 - 5 + 4*t)*(14*t**2 + 0*t**2 - 2*t**2). 48*t**3 - 1392*t**2 Expand (17*d**2 - 40 + 40 + (-1 + 1 + 2*d)*(2*d - 3*d + 3*d) + 3*d**2 + 2*d**2 - 3*d**2)*(1 - 1 - d)*(1 - 5 + 3)*(-1 - 5 - 3)*(2 + 0 - 1). -207*d**3 Expand (39*y + 10*y - 3*y)*(-15 + 141 - 13). 5198*y Expand (-5 - 5 + 5)*(-1 + 2 + 19*g - 139858*g**2 + 139860*g**2). -10*g**2 - 95*g - 5 Expand ((-z + 0*z - z)*(2*z - 4*z + 4*z) - z**2 - z**2 + z**2 - z**2 - 5*z**2 + 4*z**2)*(-536 + 0*z**3 - 781 - z**3). 7*z**5 + 9219*z**2 Expand (0 + 0 + q**3)*(-2*q - 2*q**2 + 2*q) - q**5 + q**2 - q**2 + 23*q**5 - 19*q**5 - 51*q**5. -50*q**5 Expand (2 + 10*r + 3 - 4)*((r + 4*r - 7*r)*(1 + 0 + 1) + r + 6*r + r + (10 - 10 + 7*r)*(0 + 1 + 1)). 180*r**2 + 18*r Expand (-2*k - 4*k + 3*k + (2*k - 3*k + 3*k)*(-4 + 3 + 2))*(-2*k + 6*k - 3*k + (5*k + 0*k - 3*k)*(3 + 2 - 6))*(-299*k - 348042 + 348042). -299*k**3 Expand (24*z**2 - 55*z**2 - 3*z + 29*z**2)*(-1 + 5 - 1) + 4*z**2 - 2*z**2 + 0*z**2 + z**2 + 0*z**2 - 2*z**2. -5*z**2 - 9*z Expand (13*g - 24 + 4 + 0*g)*(-27*g + 9*g + 7*g). -143*g**2 + 220*g Expand 4*s**4 - 4*s**4 - 2*s**4 + (-18*s**2 + 18*s**2 - 23*s**3)*(-33*s - 124*s + 23*s). 3080*s**4 Expand (47 - 25*p**3 - 47)*(6*p + p - 6*p) + (-2*p + 5*p - 2*p)*(-p + p - 14*p**3). -39*p**4 Expand -195*z**3 + 328*z**4 + 385*z**3 - 190*z**3 + z**4 + 3*z**4 - 3*z**4 + (z**2 + z - z)*(-4*z**2 - z**2 + 0*z**2). 324*z**4 Expand (-3 - 3 + 7)*(2*i - 2*i + 2*i) + 11721*i - 2850*i - 736*i. 8137*i Expand (-1 - 1 + 5)*(33 - 27 + 79)*(4*d + 2*d - 4*d)*(2 + 0 - 10). -4080*d Expand 8 + 4*o + 7 - 2 + 0*o - 2*o + 5*o - 6*o - 20*o - 6*o - 6*o + 0*o + 4*o + (-3 + 0 + 2)*(-2*o + 2*o + o) - o + 2 - 2 - 2*o + 1 - 1 - 2*o + 6*o - 2*o. -29*o + 13 Expand ((-3 - 2*v + 3)*(-v + v + v) + (0 + 0 - 1)*(-3*v**2 + 3*v**2 + v**2))*(9434 + 118*v**2 - 9434). -354*v**4 Expand (-14 + 5 - 4)*(i**5 - 3*i**5 + 3*i**5) + i**4 + 23*i**5 - 2*i**4 + 2*i**4. 10*i**5 + i**4 Expand (2*u - 2*u - 4*u**2)*(16 + u - 16) + (0 - 1 + 4)*(-37 + 37 + 55*u**3). 161*u**3 Expand (2*j + j + j)*(1415 + 2783 - 121 + 218 - 132 + 936). 20396*j Expand (-10 + 10 + 6*h)*(381 - 753 + 302). -420*h Expand (-19*j + 19*j - 12*j**2)*(j**3 - 3*j**3 + j**3 + (3*j**2 - 3*j**2 + j**2)*(-4 + 4 + 2*j) + 27*j**2 - 9*j**3 - 27*j**2). 96*j**5 Expand (1 + d**2 - 1)*(-13462 + 639*d + 13462) + (-5*d - 6 + 6)*(3*d - 3*d + d**2) - 4*d + 4*d - d**3. 633*d**3 Expand (3*h - h - 6*h)*(0*h**4 + 3*h**4 - 4*h**4) + 7*h**3 - 3*h**2 - 5*h**2 + 2*h**5 - 21*h**2
{ "pile_set_name": "DM Mathematics" }
28 a factor of 112685912? False Is 14341468 a multiple of 1298? False Is 10423 a factor of 5109365023? True Is 594 a factor of 75598974? True Is 365 a factor of 19993969? False Does 18902 divide 3920906179? False Does 158 divide 439604032? True Does 90 divide 105911550? True Does 174 divide 3020546? False Is 11 a factor of 16598322? False Is 997 a factor of 2030112871? False Is 227 a factor of 1278718240? True Is 3076791327 a multiple of 984? False Does 3408 divide 1486432884? False Is 53736023 a multiple of 4? False Does 39 divide 8443266? True Does 52 divide 1231618462? False Is 36096959 a multiple of 127? False Is 5 a factor of 288582920? True Is 63796270 a multiple of 881? False Is 996 a factor of 131295708? True Is 936 a factor of 466829064? True Is 5792238 a multiple of 249? True Is 1690 a factor of 602034052? False Does 2 divide 779075? False Is 5 a factor of 126382685? True Does 77 divide 3247097046? False Is 6 a factor of 549070908? True Is 4 a factor of 58760342? False Is 15526631 a multiple of 1080? False Is 13 a factor of 1165884714? False Does 950 divide 39423100? True Does 36 divide 104998680? True Is 2273 a factor of 7998687? True Is 2125605744 a multiple of 153? True Is 410 a factor of 733331408? False Is 27212224 a multiple of 64? True Is 16 a factor of 1419873504? True Is 110 a factor of 173348010? True Is 10799277 a multiple of 9? False Is 9 a factor of 632775951? True Is 292 a factor of 116944629? False Does 19 divide 71218747? False Is 976784994 a multiple of 134? False Does 681 divide 508082346? False Is 141 a factor of 37621562? False Is 480603566 a multiple of 50? False Is 3489498628 a multiple of 77? True Does 16 divide 420487216? True Is 271695135 a multiple of 501? False Does 3563 divide 301937815? False Is 32292755 a multiple of 1067? True Is 10994774 a multiple of 969? False Does 570 divide 2001032880? True Is 13 a factor of 63731869? False Is 6 a factor of 7431577? False Is 111600410 a multiple of 34? True Is 1224 a factor of 126916537? False Does 27 divide 96046965? True Is 346020705 a multiple of 14? False Does 2119 divide 141703017? False Is 63844384 a multiple of 544? True Is 6 a factor of 1132951866? True Is 2264541300 a multiple of 2100? True Does 5 divide 2392395? True Is 5293 a factor of 1947808121? True Does 8 divide 1034404327? False Is 3853365 a multiple of 5? True Is 85 a factor of 17092860? False Is 7 a factor of 15855379? False Does 118 divide 133487581? False Does 25 divide 3827100? True Is 1364 a factor of 101290640? True Is 27 a factor of 1016519213? False Does 221 divide 72743255? True Is 25468967 a multiple of 32? False Does 3430 divide 506113650? True Is 592372312 a multiple of 389? True Is 822436 a multiple of 4? True Does 5564 divide 1313076180? True Is 1745415744 a multiple of 4848? True Is 7830 a factor of 37451583? False Is 62941186 a multiple of 7? True Is 5802 a factor of 2610215364? True Is 5856886 a multiple of 334? False Does 18 divide 6862608? True Is 73388814 a multiple of 492? False Is 631446480 a multiple of 42? True Is 7 a factor of 295781177? False Is 1178 a factor of 484542082? False Does 1577 divide 258650078? True Is 734 a factor of 3998406280? True Is 34 a factor of 257814486? True Does 62 divide 1102349079? False Is 57688359 a multiple of 103? False Does 3411 divide 40834090? False Is 579401257 a multiple of 19? True Is 146605 a multiple of 9? False Is 291713640 a multiple of 60? True Is 5126583 a multiple of 29? False Is 73762432 a multiple of 664? True Is 180 a factor of 364819797? False Does 473 divide 228077797? False Is 30574381 a multiple of 29? True Does 6 divide 178360604? False Does 19 divide 12050237? True Is 126151576 a multiple of 409? False Is 3418 a factor of 94282840? False Is 21724730 a multiple of 301? False Is 34316550 a multiple of 45? True Does 378 divide 81033126? False Is 1643 a factor of 21500298? True Is 62 a factor of 25685050? True Does 1006 divide 472533290? True Is 30 a factor of 4943760? True Is 647 a factor of 32045301? False Is 9 a factor of 44345628? True Is 1123785552 a multiple of 38? True Is 61 a factor of 3340848? True Is 483532014 a multiple of 827? True Is 530646840 a multiple of 17? True Is 2462 a factor of 6028539370? True Does 8195 divide 148903150? True Does 39 divide 559955409? True Does 7 divide 560589736? True Is 72787921 a multiple of 1108? False Is 581 a factor of 222301030? False Is 17 a factor of 426191707? False Is 6525908864 a multiple of 1411? True Does 274 divide 37376340? True Is 5 a factor of 10649158? False Is 41864504 a multiple of 2248? True Is 1165 a factor of 154916722? False Is 2548180659 a multiple of 5836? False Does 185 divide 2343567790? True Is 6917238 a multiple of 129? True Does 1056 divide 1235671336? False Is 47481066 a multiple of 38? False Is 52666304 a multiple of 164? True Is 26996029 a multiple of 331? True Is 90323248 a multiple of 2928? False Is 2913120 a multiple of 612? True Is 16609789 a multiple of 205? False Is 1389789597 a multiple of 777? True Is 5215 a factor of 509693240? True Is 23931444 a multiple of 204? True Does 16 divide 219838557? False Is 9205738 a multiple of 3709? True Is 18 a factor of 88547940? True Is 891 a factor of 1635182237? False Is 38 a factor of 2489641406? False Is 411 a factor of 7148231? False Does 68 divide 74934844? True Is 7186751 a multiple of 319? True Is 1775991842 a multiple of 9? False Is 11826942 a multiple of 393? True Does 170 divide 132622807? False Is 15162674 a multiple of 242? False Is 4134306 a multiple of 407? True Is 126302100 a multiple of 4332? False Is 75870090 a multiple of 1230? True Is 2329752348 a multiple of 451? True Does 14 divide 1039567522? True Is 486931434 a multiple of 22? True Is 41 a factor of 447966? True Does 65 divide 66496950? True Does 25 divide 3680568371? False Does 4 divide 332448092? True Is 7 a factor of 3794307? False Is 9 a factor of 1765917? True Does 18 divide 23261735? False Does 58 divide 4453759? False Does 5 divide 7042530? True Is 45828417 a multiple of 2229? False Is 25887804 a multiple of 1599? False Is 3 a factor of 599751902? False Is 692620127 a multiple of 5552? False Is 4216 a factor of 251534992? True Does 4 divide 6225888? True Is 486342280 a multiple of 3233? False Is 52 a factor of 130580450? False Is 29 a factor of 386828274? True Is 16914094 a multiple of 569? True Does 22 divide 255932622? True Is 1777962892 a multiple of 15? False Is 138968991 a multiple of 387? True Does 22 divide 123102169? False Does 4037 divide 154330473? True Is 670 a factor of 12709900? True Does 488 divide 334562670? False Does 8 divide 64917359? False Is 29725837 a multiple of 37? True Does 8593 divide 394990115? False Is 66771920 a multiple of 1360? True Is 2547 a factor of 170249121? True Is 507067 a multiple of 37? False Is 14512650 a multiple of 465? True Is 57308250 a multiple of 10? True Is 67651836 a multiple of 111? True Is 305 a factor of 2977403900? True Is 3062850645 a multiple of 3995? True Is 4 a factor of 206204012? True Does 123 divide 260946099? True Does 59 divide 932616717? True Does 403 divide 740458901? True Is 8 a factor of 461322536? True Does 478 divide 243108522? False Is 1405 a factor of 245723428? False Is 40 a factor of 2096621862? False Does 36 divide 100324728? True Is 219 a factor of 566898363? True Is 3 a factor of 58122090? True Is 8 a factor of 73426821? False Is 26 a factor of 522742090? True Does 1922 divide 154146322? True Is 298 a factor of 15655430? True Is 9415010 a multiple of 341? True Does 1430 divide 287460690? False Is 87 a factor of 12511232? False Is 774 a factor of 144771530? False Is 4370357264 a multiple of 1582? True Is 54 a factor of 35158319? False Does 10 divide 27904230? True Is 434961670 a multiple of 286? True Is 11 a factor of 6657156? True Is 698 a factor of 74447284? True Is 183 a factor of 8015400? True Is 4400320 a multiple of 32? True Does 6 divide 967376356? False Does 142 divide 663456447? False Is 89 a factor of 30713520? False Is 317213624 a multiple of 28? True Is 38369766 a multiple of 79? False Is 149 a factor of 6241707710? False Is 90 a factor of 100305859? False Does 98 divide 13894564? False Does 14 divide 10194810? False Does 974 divide 43807164?
{ "pile_set_name": "DM Mathematics" }
alse Is 31520045629 composite? False Is 2628227401 a composite number? True Is 81486359 a composite number? False Is 249736849 composite? False Is 1117588837 a prime number? False Is 10330627859 prime? False Is 52875635411 a prime number? False Is 112411753 composite? False Is 103804010327 composite? True Is 44895070583 composite? True Is 32001932021 a prime number? True Is 10279330273 a composite number? False Is 3786547 a prime number? False Is 82135151783 prime? False Is 28370381477 a composite number? False Is 31896022414 a composite number? True Is 7602998783 prime? True Is 3313520471 a prime number? False Is 153638153 a prime number? False Is 14967115687 prime? True Is 6272979953 prime? False Is 271098169 composite? True Is 138431515939 prime? True Is 805588891 prime? False Is 6276366209 composite? True Is 203755865813 composite? False Is 45417587521 prime? False Is 631255277 a prime number? True Is 914286433 prime? True Is 15771597623 composite? False Is 553123789 composite? True Is 341657773 composite? True Is 304867321001 a composite number? False Is 282590741 a prime number? False Is 687523454 prime? False Is 72372897409 prime? True Is 2802901037 prime? True Is 28996314047 composite? True Is 1479817099 prime? True Is 33790530119 composite? False Is 3611607205 prime? False Is 9136435411 a prime number? True Is 5928042167 prime? True Is 2432372431 prime? True Is 70493417 a prime number? False Is 12087208823 a composite number? True Is 18265422613 prime? True Is 15406666729 a prime number? True Is 10962443197 prime? False Is 3472423529 prime? False Is 6772908671 prime? True Is 21405376331 composite? False Is 8785563233 a prime number? True Is 1130706413 a composite number? True Is 555351082169 a prime number? False Is 3959070127 a composite number? False Is 1007547311 prime? True Is 5821322093 a prime number? True Is 521493251 composite? False Is 18071286734 composite? True Is 74150677 a composite number? False Is 934136611 prime? False Is 18093006673 composite? True Is 10802182861 a composite number? False Is 364666987 a composite number? False Is 336321233 a composite number? False Is 2646972547 a prime number? True Is 60820008109 prime? False Is 71445233567 a prime number? False Is 346334194 a composite number? True Is 319272923 prime? True Is 2253867349 a composite number? True Is 12402865493 prime? False Is 264174013 prime? False Is 2691165313 composite? False Is 2484931747 composite? False Is 4357271029 prime? False Is 2721269149 a composite number? False Is 349137557 prime? True Is 118193519 a prime number? True Is 878823833 composite? False Is 8233228307 a prime number? False Is 5159894849 prime? True Is 2618498633 composite? False Is 204118121 a prime number? False Is 8017405589 composite? False Is 248881973 prime? False Is 191269737863 a composite number? False Is 792374411 a prime number? False Is 3617173607 a composite number? True Is 28723434101 composite? False Is 11964679789 a prime number? True Is 11500421329 a composite number? True Is 19651378471 a prime number? False Is 1848124529 a composite number? False Is 170648207 a prime number? True Is 888729619 a composite number? False Is 1002012031 a prime number? False Is 16324574503 composite? False Is 45046583 prime? False Is 25590694297 composite? True Is 58904689 prime? True Is 45149156077 a prime number? True Is 242715347 composite? True Is 45971051549 prime? True Is 76512116771 a composite number? False Is 12863568301 prime? False Is 27362248607 a composite number? True Is 628766321 a composite number? False Is 14875001 a composite number? False Is 1414939027 a composite number? True Is 9883315157 a prime number? True Is 16886051111 a composite number? False Is 14961342293 a composite number? True Is 30847721221 prime? False Is 25238828101 prime? True Is 34546461997 prime? True Is 2145223699 a composite number? True Is 430819663 prime? False Is 323189179 a composite number? False Is 66445009 composite? True Is 162969901 composite? False Is 4691465719 a composite number? True Is 13117119101 prime? False Is 6400400491 a prime number? True Is 46003360007 a prime number? False Is 41492909 composite? False Is 5169179581 composite? False Is 509760857 a composite number? True Is 3886236479 a composite number? False Is 12635160899 prime? True Is 472888569227 a composite number? False Is 57959521293 prime? False Is 1074452083 composite? True Is 70761661 a composite number? False Is 60218218997 a composite number? False Is 9518417977 prime? False Is 7748831245 composite? True Is 34316380997 a composite number? True Is 189923950661 a prime number? False Is 7956949811 composite? True Is 2316151531 composite? False Is 2060435647 composite? False Is 71656059961 a prime number? True Is 50989536083 a prime number? True Is 5766915521 a prime number? False Is 730888283 a prime number? False Is 3618948719 prime? True Is 44750387729 a composite number? True Is 38542195661 composite? False Is 1397760809 composite? False Is 573866581 prime? True Is 566190617 prime? True Is 17532327983 prime? True Is 8281985665 composite? True Is 603584351 a composite number? False Is 156501343 a composite number? True Is 2742184153 composite? False Is 24143524667 a composite number? False Is 1522517459 prime? True Is 115973887 a composite number? True Is 4799845957 prime? True Is 21977254631 a prime number? True Is 234135987 a composite number? True Is 9720661579 prime? True Is 109400982553 prime? False Is 5086938977 composite? True Is 389039851 composite? False Is 8381441165 a prime number? False Is 592903261 a composite number? True Is 4141420681 prime? False Is 2095333711 composite? False Is 20388957709 a composite number? True Is 260121047 prime? True Is 1582277135 composite? True Is 487004201 a prime number? False Is 1015040009 composite? True Is 2095309331 a composite number? False Is 3546264409 prime? True Is 46450406887 a prime number? True Is 1004996207 a prime number? True Is 246942749 composite? True Is 217874927 a prime number? False Is 114333130321 prime? False Is 372351673 a composite number? False Is 3177296623 prime? True Is 20707359026 a composite number? True Is 1719356231 prime? False Is 4747958107 a composite number? True Is 28135318643 prime? False Is 13924480642 prime? False Is 17991070481 prime? False Is 718765109 prime? True Is 29138118749 a composite number? False Is 1176835937 prime? True Is 97026203 a prime number? True Is 25422219133 a composite number? False Is 23313641701 a composite number? True Is 92373133 a composite number? False Is 8528833301 a composite number? False Is 1135514543 prime? False Is 2147101529 a composite number? True Is 3238267733 a prime number? True Is 20566430437 a composite number? True Is 445932881 a prime number? False Is 6610592969 prime? True Is 17353628741 prime? False Is 4928757437 composite? True Is 13551916603 a prime number? False Is 127145189 a composite number? False Is 3898290343 a composite number? False Is 699536693 composite? False Is 20837220601 a prime number? False Is 15593762263 a prime number? True Is 65984779423 composite? False Is 4020625255 a composite number? True Is 9267098681 composite? False Is 454458373 a composite number? True Is 820425523 prime? False Is 1190844313 prime? False Is 966787439 a composite number? False Is 8314568749 a prime number? True Is 1191490901 a prime number? False Is 1124125183 a prime number? True Is 1376901077 composite? True Is 2155350331 composite? True Is 17028337 prime? False Is 2979316801 a prime number? True Is 235567471147 prime? False Is 3582783419 a prime number? True Is 33036951953 composite? True Is 38362164877 a composite number? False Is 24434775641 composite? True Is 362049679 a composite number? True Is 781130605 a composite number? True Is 296637061 a composite number? True Is 3542637617 prime? True Is 1488602515 a prime number? False Is 6987227059 prime? True Is 67861849 a prime number? False Is 5537774885 composite? True Is 16145491309 composite? True Is 10106241121 a prime number? False Is 35991430421 a prime number? True Is 3276217941 composite? True Is 144082653779 a composite number? False Is 1413920503 prime? False Is 782640769 prime? True Is 1532601359 a prime number? Fa
{ "pile_set_name": "DM Mathematics" }
*98. 0 Work out 5 * 10. 50 Multiply 0.4 and 23. 9.2 1521 * 2 3042 -2 * -12.61 25.22 Work out -276 * 1. -276 -101.4 * 0.11 -11.154 0.1344*-0.7 -0.09408 -1*0.027 -0.027 Multiply 4 and 19. 76 Calculate 3*-0.54. -1.62 What is -3.47 times 5? -17.35 Multiply -26.14 and -5. 130.7 Multiply 172 and -0.12. -20.64 Calculate -1*5.95. -5.95 Product of 0.4 and 4.8. 1.92 -1445 * -1 1445 -0.5*-0.047 0.0235 What is -8 times 118? -944 Multiply -5.4 and -4.2. 22.68 Calculate -0.01*-0.45. 0.0045 Product of -0.6 and 0.28. -0.168 What is -30 times 1.2? -36 What is the product of -27.1 and -0.5? 13.55 Calculate 3*-1.31. -3.93 20619*-4 -82476 -0.3*101 -30.3 Product of 0.3 and 0.0831. 0.02493 0 * -0.34 0 0 times -526 0 -0.1*-0.315 0.0315 0*51 0 Work out 35 * 0.05. 1.75 Multiply 0.632 and 0.8. 0.5056 Work out 11.68 * 0.7. 8.176 Calculate 4*1.64. 6.56 -5.8 times -3.1 17.98 -0.16 * 0.79 -0.1264 3 * -0.084 -0.252 0.179*5 0.895 Product of 0.171 and 20. 3.42 Calculate 12.6*-22. -277.2 What is -27 times -0.1? 2.7 Work out 0.0764 * -4. -0.3056 75.9 * 0.2 15.18 82.4*-0.3 -24.72 Calculate -0.16*0.17. -0.0272 0.05*38 1.9 Multiply 35 and 2.6. 91 What is the product of -46 and 0.03? -1.38 Work out -9 * -1.24. 11.16 What is the product of -0.4 and 180? -72 -4 * -64.6 258.4 Calculate -0.43*-0.63. 0.2709 44*0 0 -0.12 times -25 3 Work out 0.0843 * 1. 0.0843 Product of -19.51 and -0.1. 1.951 What is -4 times 4179? -16716 Multiply -1 and 0.29. -0.29 What is 0.4 times -0.0637? -0.02548 0*-0.43 0 Calculate -548.6*0. 0 Calculate 0.807*-0.3. -0.2421 What is the product of -0.1 and -0.1261? 0.01261 Multiply 3 and -239. -717 0.5 times -0.537 -0.2685 -2979*3 -8937 69 * -0.03 -2.07 -17*-0.3 5.1 -64*-0.3 19.2 Calculate -718*0.3. -215.4 Calculate -48*3. -144 -0.022 times -0.1 0.0022 11*-0.485 -5.335 -0.1426 * -1 0.1426 1528 times -5 -7640 What is the product of 4 and 12? 48 -140 * 0.9 -126 Work out 6.9 * 0.64. 4.416 1180.7 * -4 -4722.8 1.4 times 592 828.8 -0.3 times -0.52 0.156 Calculate -0.0211*0.2. -0.00422 Multiply -0.1 and -3. 0.3 0.3*0.4 0.12 Multiply -4.5 and 0.08. -0.36 23.5 times 2 47 What is the product of 65.4 and 2? 130.8 What is the product of 0.5 and 0.0436? 0.0218 25.5 times 0.4 10.2 What is -6.8 times -4? 27.2 Product of -0.419 and -5. 2.095 What is -15 times -0.02? 0.3 -709.6 * -2 1419.2 Product of 0.05 and -12. -0.6 What is the product of 15 and -32? -480 What is the product of 0.0525 and 3.8? 0.1995 Calculate 0.1*119. 11.9 Calculate -0.3*536. -160.8 What is the product of 244 and 2.9? 707.6 What is -5 times 0.007? -0.035 -198*-11 2178 What is 5.37 times 0.2? 1.074 Work out 98 * -248. -24304 Work out 4 * 0.0148. 0.0592 Work out -0.48 * 0. 0 Work out -0.356 * 36. -12.816 Product of 0.9 and 0.2. 0.18 Product of -2 and -60. 120 Work out -11782 * 3. -35346 Calculate -0.1*0.59. -0.059 Work out -0.93 * -0.04. 0.0372 -217 * -0.3 65.1 What is the product of -1.752 and -0.2? 0.3504 Multiply -0.79 and -0.89. 0.7031 What is the product of 0.3 and 86.9? 26.07 Work out 106 * 5.7. 604.2 Work out 5 * -83.8. -419 Work out -0.098 * 18. -1.764 What is 1290 times -5? -6450 Work out 0.4 * 29.8. 11.92 What is the product of 53 and 0.4? 21.2 What is the product of 14.1 and 0.15? 2.115 Product of 0.79 and 3. 2.37 Calculate 3*-6.97. -20.91 What is -0.431 times -18? 7.758 Work out 2 * 57. 114 Product of 0.07 and -824. -57.68 What is the product of -0.2 and -61? 12.2 Work out -0.2 * -231. 46.2 Calculate -0.448*6. -2.688 Product of 3 and -6. -18 Calculate -0.04*358. -14.32 0.4*490.3 196.12 Calculate -3*-1.5. 4.5 What is the product of 0.5 and 0.33? 0.165 Multiply -12.5 and 0.2. -2.5 -0.0923 * 7 -0.6461 Calculate -91*107. -9737 Work out -0.05632 * 0.4. -0.022528 Calculate -0.9*0.7. -0.63 2734 times -3 -8202 Product of 0.2 and 57.85. 11.57 What is the product of 0 and -113? 0 -32 * 12 -384 Calculate -0.027*223. -6.021 Work out 38 * -1.13. -42.94 What is the product of 0.905 and 0.3? 0.2715 5*0.157 0.785 What is the product of 0.7602 and 0? 0 Work out 0.1541 * 2. 0.3082 Work out 2 * -0.036. -0.072 Calculate -172.9*-1. 172.9 What is 2100 times -17? -35700 What is the product of 0.3408 and 1? 0.3408 -73 * -4 292 What is the product of 0.3 and -1046? -313.8 Multiply -1.9 and 13. -24.7 What is the product of -1663 and 0.1? -166.3 Work out 2.1 * 266. 558.6 Work out -161.7 * 0. 0 Work out -1 * -0.402. 0.402 0.3 times -38 -11.4 17 * -0.109 -1.853 -0.16 * -283 45.28 What is 419.2 times 0.03? 12.576 Multiply 69 and 182. 12558 Work out 88 * 0. 0 -176 * -0.1 17.6 Product of 489 and -4.3. -2102.7 Multiply 0.5 and 7341. 3670.5 -4 * -569 2276 Multiply 30.23 and -0.4. -12.092 Calculate -0.0353*5. -0.1765 Multiply 0.5 and -6.8. -3.4 Product of 4 and 0.092. 0.368 Work out -2 * -56. 112 Calculate 54*-0.2. -10.8 -3 times 153 -459 1 * 0.1007 0.1007 42 * -136 -5712 Product of -0.9 and -0.8. 0.72 -0.08 times -22.23 1.7784 1.9 * 1415 2688.5 Work out -0.3064 * 0.4. -0.12256 What is -0.3 times -1? 0.3 1077*0.3 323.1 Calculate 966*-4. -3864 Calculate 243*0. 0 Calculate -0.34*-3. 1.02 Calculate -498*-0.4. 199.2 What is -8 times -0.29? 2.32 -0.396 * 11 -4.356 Calculate 559*-0.2. -111.8 Work out 197 * -0.01. -1.97 What is 0.5 times 24? 12 1.79 * -0.4 -0.716 Product of 94 and -0.12. -11.28 Product of -35 and 0.16. -5.6 What is the product of 30 and -12.6? -378 Work out -6 * -0.7. 4.2 -27*-4 108 What is -26 times -7? 182 Work out 1 * 0.59. 0.59 Multiply -1459.1 and -0.3. 437.73 Calculate -3*-1080. 3240 What is -0.4 times 143? -57.2 What is 4 times -3? -12 Multiply 0.24 and -0.3. -0.072 Multiply -2 and -0.006. 0.012 -0.09 * -0.04 0.0036 Product of -0.011736 and -0.2. 0.0023472 What is 0.115 times -1? -0.115 Product of -230 and -3. 690 What is -332 times -47? 15604 6.6 * -3 -19.8 2*7147 14294 What is the product of -3.7 and -3? 11.1 What is the product of -0.5 and -370? 185 Work out -1 * 4.7. -4.7 What is 16 times -0.16? -2.56 Calculate -0.2*-19.3. 3.86 What is the product of -30 and 0.003? -0.09 Calculate 0.08*-0.4. -0.032 -18 times -0.098 1.764 -0.16 times -3 0.48 2*-5.2 -10.4 What is -10 times -24? 240 -214*0.04 -8.56 What is the product of 373 and 100? 37300 Calculate 101*-0.4. -40.4 What is -3 times 173.5? -520.5 What is the product of -5 and 942? -4710 Calculate -4*27.23. -108.92 767*-0.5 -383.5 129*-5 -645 Product of 2.6 and -72. -187.2 Calculate -15*-0.278. 4.17 Calculate 2.71*-10. -27.1 Product of -512 and 0. 0 Work out 0.152 * 5. 0.76 -0.3 * 45 -13.5 What is the product of 638 and 1? 638 Product of 0.04219 and 5. 0.21095 Work out 0.5 * -0.00326. -0.00163 Multiply -37 and 486. -17982 Multiply -192 and -0.06. 11.52 0.168 times 3 0.504 0.111 * 0 0 Calculate -688*-0.02. 13.76 Calculate -0.13*14.3. -1.859 What is 0 times -20? 0 What is the product of 49 and 0.039? 1.911 Multiply -8 and -0.07. 0.56 Product of -17.96 and 0.2. -3.592 What is the product of 0.09427 and -4? -0.37708 -0.2004*2 -0.4008 Work out -5 * 0.067. -0.335 -11 * 1.9 -20.9 -274 * -0.1 27.4 -10*-0.32 3.2 Multiply -107 and 3. -321 Work out -430 * 5. -2150 -4 times 3282 -13128 Work out -2496 * -3. 7488 What is 0.347 times 0? 0 Work out -125 * -1. 125 Calculate 3.649*0. 0 Work out 88 * 0. 0 Multiply 0 and 0.049. 0 What is the product of 0.8 and 2944? 2355.2 Calculate -274*-0.1. 27.4 What is the product of 0.48 and 0? 0 Multiply 7519 and 2. 15038 Multiply -5.3 and -9. 47.7 -0.3 times -68 20.4 Multiply 0.4 and 27. 10.8 What is the product of -125 and 9? -1125 Calculate -136*15. -2040 What is 0.4 times 6365? 2546 What is the product of -0.4 and 307.6? -123.04 Work out -24.46 * 0.5. -12.23 132 * 0.01 1.32 Multiply -0.054 and -23.5. 1.269 Product of 0.3 and -14. -4.2 What is -0.026 times -8? 0.208 -61.88 times -0.4 24.752 1*77 77 -0.08 times -0.05 0.004 Work out 7 * 148. 1036 Calculate -2.1*-182. 382.2 -4 * -101 404 6 times 14.2 85.2 Calculate -0.123*-0.028. 0.003444 Calculate 0.1121*15. 1.6815 Product of -0.4 and -1913. 765.2 Calculate 149*-0.36. -53.64 What is 450 times -0.2? -90 What is 1.6 times 167? 267.2 1700 times -3 -5100 -6 times -38 228 Multiply 0.05 and 0.055. 0.00275 What is -33 times 2.7? -89.1 -16*-30 480 What is the product of -0.037603 and -1? 0.037603 -45 times -78 3510 Work out -13 * 57. -741 -0.26*-96 24.96 Calculate -0.01*1.32. -0.0132 Product of -104 and
{ "pile_set_name": "DM Mathematics" }
10605, 21273, 31919, 42537, 53121, 63665? -s**3 - 5*s**2 + 10690*s - 79 What is the a'th term of 3091, 12256, 27513, 48874, 76351? 2*a**3 + 3034*a**2 + 49*a + 6 What is the u'th term of -379079067, -758158136, -1137237205, -1516316274, -1895395343, -2274474412? -379079069*u + 2 What is the m'th term of 131, 545, 973, 1421, 1895, 2401? m**3 + m**2 + 404*m - 275 What is the t'th term of -67312, -67367, -67422, -67477? -55*t - 67257 What is the n'th term of -95, 687, 2325, 4819, 8169, 12375, 17437? 428*n**2 - 502*n - 21 What is the v'th term of 19305806, 38611640, 57917474, 77223308, 96529142? 19305834*v - 28 What is the v'th term of 1162, 1135, 1078, 991, 874, 727? -15*v**2 + 18*v + 1159 What is the v'th term of 7799, 7806, 7813, 7820, 7827? 7*v + 7792 What is the w'th term of 12044, 23260, 34476, 45692? 11216*w + 828 What is the p'th term of 277, 78, -919, -3122, -6939, -12778, -21047, -32154? -68*p**3 + 9*p**2 + 250*p + 86 What is the d'th term of 78730, 77798, 76856, 75898, 74918, 73910, 72868, 71786? -d**3 + d**2 - 928*d + 79658 What is the f'th term of 124985, 250543, 376091, 501623, 627133? -f**3 + f**2 + 125562*f - 577 What is the k'th term of -6669731, -13339450, -20009179, -26678924, -33348691, -40018486, -46688315? -k**3 + k**2 - 6669715*k - 16 What is the c'th term of -2054, -5767, -11206, -18371? -863*c**2 - 1124*c - 67 What is the s'th term of -5671615, -5671619, -5671625, -5671633, -5671643? -s**2 - s - 5671613 What is the u'th term of 4855643, 9711288, 14566937, 19422590, 24278247, 29133908? 2*u**2 + 4855639*u + 2 What is the i'th term of -126149329, -126149330, -126149331? -i - 126149328 What is the g'th term of 1675507, 3351162, 5026817, 6702472? 1675655*g - 148 What is the o'th term of -4599, -8818, -13037, -17256, -21475, -25694? -4219*o - 380 What is the k'th term of 3783131, 7566264, 11349397, 15132530? 3783133*k - 2 What is the i'th term of -65920, -66239, -66558, -66877? -319*i - 65601 What is the x'th term of -12640, -12253, -11870, -11491, -11116, -10745, -10378? -2*x**2 + 393*x - 13031 What is the b'th term of -479150570, -958301138, -1437451706, -1916602274, -2395752842, -2874903410? -479150568*b - 2 What is the u'th term of 611057, 1222453, 1834185, 2446253, 3058657, 3671397? 168*u**2 + 610892*u - 3 What is the x'th term of -8499097, -8499089, -8499075, -8499055? 3*x**2 - x - 8499099 What is the v'th term of -11575, -16842, -22109, -27376, -32643, -37910? -5267*v - 6308 What is the n'th term of -126520, -126112, -125704, -125296? 408*n - 126928 What is the h'th term of 94492, 188981, 283468, 377953, 472436, 566917? -h**2 + 94492*h + 1 What is the i'th term of 85703, 171533, 257363, 343193, 429023, 514853? 85830*i - 127 What is the k'th term of -9246, -74052, -249978, -592584, -1157430, -2000076, -3176082, -4741008? -9260*k**3 + 14*k What is the t'th term of 63471, 129366, 195261, 261156, 327051? 65895*t - 2424 What is the u'th term of -122833, -122822, -122817, -122824, -122849, -122898? -u**3 + 3*u**2 + 9*u - 122844 What is the n'th term of 2834012, 5668020, 8502028, 11336036, 14170044, 17004052? 2834008*n + 4 What is the j'th term of -13460, -13355, -13250? 105*j - 13565 What is the r'th term of -38792828, -77585655, -116378482, -155171309? -38792827*r - 1 What is the t'th term of -565999, -565987, -565975, -565963, -565951? 12*t - 566011 What is the u'th term of 57343, 114636, 171929, 229222, 286515, 343808? 57293*u + 50 What is the h'th term of -954, 6706, 27496, 67980, 134722, 234286, 373236? 1094*h**3 + h**2 - h - 2048 What is the f'th term of 37954, 36213, 34470, 32725, 30978, 29229? -f**2 - 1738*f + 39693 What is the s'th term of 6216, 6657, 7222, 7911, 8724? 62*s**2 + 255*s + 5899 What is the l'th term of -6141416, -12282845, -18424288, -24565751, -30707240, -36848761, -42990320, -49131923? -l**3 - l**2 - 6141419*l + 5 What is the n'th term of 2883, 24866, 61505, 112800, 178751? 7328*n**2 - n - 4444 What is the x'th term of 403, 2787, 8877, 20401, 39087? 288*x**3 + 125*x**2 - 7*x - 3 What is the r'th term of 76252, 76321, 76410, 76525, 76672, 76857, 77086? r**3 + 4*r**2 + 50*r + 76197 What is the j'th term of -13059365, -52237462, -117534291, -208949852? -13059366*j**2 + j What is the z'th term of 6519, 21156, 45547, 79686, 123567, 177184, 240531? -z**3 + 4883*z**2 - 5*z + 1642 What is the k'th term of 7858, 20179, 32452, 44653, 56758, 68743, 80584, 92257? -4*k**3 + 12349*k - 4487 What is the s'th term of -106074506, -212148998, -318223488, -424297976? s**2 - 106074495*s - 12 What is the v'th term of -1070, -7351, -24374, -57509, -112126, -193595, -307286, -458569? -895*v**3 - v**2 - 13*v - 161 What is the j'th term of -3861, -4084, -4307? -223*j - 3638 What is the f'th term of 30979, 124249, 279701, 497335, 777151, 1119149? 31091*f**2 - 3*f - 109 What is the y'th term of 175511, 175672, 175943, 176324, 176815, 177416, 178127? 55*y**2 - 4*y + 175460 What is the b'th term of -2610, -30952, -78176, -144276, -229246, -333080? b**3 - 9447*b**2 - 8*b + 6844 What is the p'th term of 899506, 1800767, 2702028, 3603289? 901261*p - 1755 What is the o'th term of -2026, -9947, -23148, -41629? -2640*o**2 - o + 615 What is the j'th term of 2883127, 11532192, 25947301, 46128454, 72075651? 2883022*j**2 - j + 106 What is the z'th term of 4441, 4339, 4233, 4123, 4009? -2*z**2 - 96*z + 4539 What is the l'th term of 4400186, 4400218, 4400250, 4400282, 4400314, 4400346? 32*l + 4400154 What is the p'th term of 3306513, 3306504, 3306493, 3306480, 3306465, 3306448, 3306429? -p**2 - 6*p + 3306520 What is the h'th term of 8391, 16712, 25033, 33354? 8321*h + 70 What is the s'th term of -291091, -582166, -873247, -1164334? -3*s**2 - 291066*s - 22 What is the g'th term of -726, -1887, -3574, -5787, -8526? -263*g**2 - 372*g - 91 What is the z'th term of 161138883, 161138886, 161138889, 161138892? 3*z + 161138880 What is the a'th term of -118752, -237637, -356522, -475407, -594292, -713177? -118885*a + 133 What is the h'th term of -162122, -324234, -486346, -648458? -162112*h - 10 What is the q'th term of 1092536, 2185080, 3277622, 4370162? -q**2 + 1092547*q - 10 What is the s'th term of -16083, -47129, -93093, -153969, -229751, -320433, -426009? s**3 - 7465*s**2 - 8658*s + 39 What is the u'th term of 364, 812, 1308, 1858, 2468, 3144, 3892? u**3 + 18*u**2 + 387*u - 42 What is the t'th term of 1681, 1668, 1633, 1570, 1473, 1336? -t**3 - 5*t**2 + 9*t + 1678 What is the w'th term of -5167, -6409, -7651, -8893? -1242*w - 3925 What is the b'th term of -798, -1170, -1512, -1824, -2106, -2358? 15*b**2 - 417*b - 396 What is the a'th term of -45352, -45710, -46068, -46426? -358*a - 44994 What is the g'th term of 411, 371, 379, 459, 635? 4*g**3 - 68*g + 475 What is the j'th term of -1681802, -3363605, -5045408, -6727211? -1681803*j + 1 What is the s'th term of 139716, 279442, 419178, 558924, 698680, 838446? 5*s**2 + 139711*s What is the t'th term of -10085, -20205, -30435, -40829, -51441, -62325, -73535? -9*t**3 - t**2 - 10054*t - 21 What is the u'th term of 221683791, 221683790, 221683789, 221683788, 221683787? -u + 221683792 What is the n'th term of -218619, -218630, -218651, -218682? -5*n**2 + 4*n - 218618 What is the u'th term of -10448, -10653, -10898, -11177, -11484? u**3 - 26*u**2 - 134*u - 10289 What is the z'th term of -13791, -28434, -43077, -57720, -72363, -87006? -14643*z + 852 What is the d'th term of 122561, 249143, 375725, 502307, 628889? 126582*d - 4021 What is the n'th term of -4377833, -8755668, -13133503, -17511338, -21889173, -26267008? -4377835*n + 2 What is the i'th term of 1846508, 1846511, 1846514, 1846517, 1846520, 1846523? 3*i + 1846505 What is the d'th term of -48193, -192456, -432893, -769504, -1202289, -1731248? -48087*d**2 - 2*d - 104 What is the f'th term of -121, -96, -53, -16, -9, -56, -181? -4*f**3 + 33*f**2 - 46*f - 104 What is the d'th term of -134031, -133980, -133929? 51*d - 134082 What is the i'th term of -205781, -205788, -205771, -205718, -205617, -205456, -205223? 2*i**3 - 21*i - 205762 What is the r'th term of -785413, -785423, -785433, -785443, -785453, -785463? -10*r - 785403 What is the c'th term of 54886, 54870, 54896, 54964? 21*c**2 - 79*c + 54944 What is the i'th term of 1200, 6236, 19868, 46392
{ "pile_set_name": "DM Mathematics" }
*o - z. Round d to the nearest 1000000. -5000000 Let z = -673503352 + 673503223.00000056. Let u = z - -129. Round u to 7 decimal places. 0.0000006 Suppose 0 = -5*p + 3*p + 6. Suppose -2*r + v = 4226002, 6339008 = -p*r - v + 5*v. Round r to the nearest one hundred thousand. -2100000 Let s = -25.69 + 27.764. Let n = -1.9231 + s. Round n to two decimal places. 0.15 Let j = -0.0483 - -278.0483. Let u = -292.35 + j. Round u to 1 decimal place. -14.4 Suppose 5*a - 92 = -47. Suppose -u - a - 1 = 0. Let g be (2 - -166)/(15/u). Round g to the nearest 10. -110 Let x(l) = -410398*l**2 - 18*l + 40. Let r be 1 + (10 - 5) + -1. Let j be x(r). What is j rounded to the nearest one million? -10000000 Suppose 3*q = -5*h, -3*h + 8*h = 0. Suppose q = 9*g - 12*g - 18. Let l be ((-200)/g)/((-27482)/(-27480) + -1). What is l rounded to the nearest 10000? 460000 Let s = -252.1847 - 3.6853. Round s to zero decimal places. -256 Suppose 7*d - 7997037 = 2229427 - 51612564. What is d rounded to the nearest 100000? -5900000 Let c(i) = -i**2 - 8*i + 146. Let q be c(9). Let g be 10150*(q/3 - (-13)/39). Round g to the nearest one thousand. -20000 Suppose -3*b + 59791 = -o, 196895 = -4*o - b - 42308. What is o rounded to the nearest one hundred thousand? -100000 Let u(w) = 719*w**3 - 9*w**2 - 18*w - 40. Let f be u(-8). What is f rounded to the nearest ten thousand? -370000 Let h = 15404.9969451 - 15405. What is h rounded to four decimal places? -0.0031 Let h = -21673.6 - -20850. Round h to the nearest one hundred. -800 Let a = 76.1 + -83. Let v = a + 7.144. Let u = v + 1.776. What is u rounded to one decimal place? 2 Let f = -533 - -533.73. Let k = f + -0.7553. What is k rounded to 2 decimal places? -0.03 Let y(v) = -43*v. Let p be y(-10). Suppose -4*g + p = -686. Suppose -879 = -k - g. What is k rounded to the nearest one thousand? 1000 Let y = -448 - -449.6091. Round y to 1 decimal place. 1.6 Let v = -559634.5783 + 559749.57830315. Let s = v + -115. Round s to seven dps. 0.0000032 Let d = -13.689 - -15.1309. Round d to two decimal places. 1.44 Let p = 2.5 + 28.5. Let g = -295502433.99999855 - -295502465. Let y = g - p. What is y rounded to seven dps? 0.0000015 Let i = 269 + -268.794. Let g = i - 0.2059745. What is g rounded to five dps? 0.00003 Let k = 1186.065 - 1196. Let b = -9.739 + -0.261. Let p = k - b. What is p rounded to two decimal places? 0.07 Let l = -2872.288 + 0.288. Let t = l + 2750.1. What is t rounded to the nearest 10? -120 Let z(y) be the third derivative of -6089*y**6/120 - y**5/60 + y**4/8 - y**3/2 + 49*y**2. Let v be z(1). What is v rounded to the nearest 100? -6100 Let n(p) = -324547*p - 9. Let x(z) = -649090*z - 19. Let g(o) = 13*n(o) - 6*x(o). Let w be g(7). Round w to the nearest one hundred thousand. -2300000 Let c = -16 - -23. Suppose c*i = 10*i - 2*i. Suppose i = 16*p - 13*p - 9000. Round p to the nearest one thousand. 3000 Let v = 10.943 + -10.942982685. Round v to 6 dps. 0.000017 Let u = -77.8 - -129. Let l = u - 525.2. Let w = l + 473.9446. Round w to 2 decimal places. -0.06 Let u(f) = f**3 + 7*f**2 + 3*f - 24. Let l be u(-6). Let b(a) = -7*a**3 - 4*a**2 + 10*a - 19. Let n be b(l). Round n to the nearest 100. 1300 Let a = -16770 + 16769.920291. What is a rounded to three decimal places? -0.08 Suppose -2*c + 2 = -6. Suppose -3*u + 103 = 5*v, 0 = -c*u + 8*u + 5*v - 139. What is u rounded to the nearest 10? 40 Let x be ((-104)/39)/(4/(-6)). Suppose 0 = f - 2*m - 339998, -x*m - 877778 - 142218 = -3*f. Round f to the nearest one million. 0 Let v = -4287.99967515 + 4288. Round v to six dps. 0.000325 Let h = -4904.04282 - -4904. Let k = -0.0207 - h. Round k to 3 dps. 0.022 Let y(z) = 4*z**2 - 14*z + 12. Let d be y(6). Let s = d - 72. Suppose s*r - 3*r = 65100. What is r rounded to the nearest 1000? -22000 Let t = -22076.00004784 - -22076. Round t to 6 decimal places. -0.000048 Let j = -39182.00000091716 + 39182. What is j rounded to 7 decimal places? -0.0000009 Suppose -2*r - 19*r = -140228655. Let j(d) = 20221*d**3 + 5*d**2 + d + 7. Let f be j(-6). Let s = r + f. What is s rounded to the nearest one hundred thousand? 2300000 Let m(f) = 834511*f - 252. Let d be m(-68). What is d rounded to the nearest one million? -57000000 Let x(k) = -882*k + 52. Suppose -3*f = -5*v - 67, -5*v - 4*f - f = 75. Let t be x(v). Round t to the nearest 1000. 12000 Let o = -98.77004399 + 98.77. What is o rounded to five decimal places? -0.00004 Let w = -28.8 - -277.8. Let b = -497 + w. Let y = b + 237.1. Round y to 0 dps. -11 Let j(p) = 56*p**2 - 7*p - 3. Let x(t) = t**3 + 13*t**2 + 5*t + 48. Let n be x(-13). Let q be j(n). Round q to the nearest 1000. 16000 Let c = -1293 + 1311. Let o = -141955.0087 - -141937.00869989. Let t = c + o. What is t rounded to seven decimal places? -0.0000001 Let y(k) = k**3 - 12*k**2 - 67*k + 62. Let x be y(16). Let c be 4/10 - 8/(-5). Let w be x*(c/(-12))/(6/(-738)). Round w to the nearest ten. 290 Let w(z) be the first derivative of 3575*z**2/2 + 40*z + 12. Let f be w(2). Round f to the nearest 1000. 7000 Suppose 2*d - 647478 + 2370475 = 3*m, 0 = 3*m + 3. What is d rounded to the nearest 100000? -900000 Let f = 12.3345 - -0.4905. Round f to the nearest ten. 10 Let v = 21642 - 21701.36. What is v rounded to the nearest ten? -60 Suppose 0 = -w - 0*w + 5. Suppose z + w = 9. Suppose -a - 1629996 = z*q, -a = 5*q - 179510 + 1809505. Round a to the nearest 100000. -1600000 Let o = 7865.9887496 - 7866. What is o rounded to four decimal places? -0.0113 Let n(v) = 79*v**2 + 13. Suppose -8*x = -4*x + 12. Let d be n(x). Suppose -2*j = 3*u + 9809, -d = j + u + 4179. What is j rounded to the nearest 1000? -5000 Let h be (-1)/(-3 + -1 - 71349/(-17837)). Round h to the nearest 1000. -18000 Let m be -1*5*3*1/(-5). Suppose -4*a = -5*s + 6571525, -m*a + 0*a = 0. Suppose 0 = -2*z - 494305 + s. What is z rounded to the nearest one million? 0 Suppose -6 = 5*f - 7*f. Let n be 3/((f/(-1))/(-9204)). Suppose -1704 = -5*k - n. Round k to the nearest one hundred. -1500 Let u be 2/(-15) - 1054/(-255). Suppose -u*a = 18*a - 21120. What is a rounded to the nearest 1000? 1000 Let s = -939939 + -4139061. Round s to the nearest 100000. -5100000 Let q = -48.8 - -31.9. Let k = q - -14.1. What is k rounded to the nearest integer? -3 Let b = 20.1 - 19.01. Let o = b + -0.961. What is o rounded to 1 dp? 0.1 Let r = 52.7 - -17.3. Let y = -177 - r. Let t = y + 249.02. What is t rounded to 1 decimal place? 2 Let x = 12529.2 + -12529.70461. Round x to one decimal place. -0.5 Let b = 20.5 + -19.1. Let t = -1.401151 + b. What is t rounded to 4 decimal places? -0.0012 Let r = -15948.999960065 + 15949. Round r to 5 decimal places. 0.00004 Let r be (-44)/(-198) + (-70074058)/18. Let j = r - -2644003. Round j to the nearest 100000. -1200000 Let f = -3.04 + -3.19. Let j = 6.1746 + f. Round j to 2 decimal places. -0.06 Let m = -35845 - -528244. Let i = m + -768399. Round i to the nearest ten thousand. -280000 Let j be (-12)/(-258) - (-1116235)/43. What is j rounded to the nearest one thousand? 26000 Let k = 0.09391 + -0.09389375. Round k to 6 dps. 0.000016 Let v(n) = 21822*n**3 - 7*n**2 + 16*n - 10. Let x be v(2). Suppose -x = 5*r - 5*t, -4*r - 2*t - 89616 = 50016. What is r rounded to the nearest one thousand? -35000 Let h = 0.1723 - 1.0233. Let g = 79.551 + h. Round g to the nearest 10. 80 Let q be (1 - 2363751)*672/120. What is q rounded to the nearest 100000? -13200000 Let j = 4.413 - 0.013. Let d = -4530 + 4525.1. Let z = d - j. What is z rounded to 0 dps? -9 Suppose 6*v - 15 = 9*v, 15125 = -l - 4*v. What is l rounded to the nearest 100? -15100 Suppose 4*f + 19401 = v, 1672 = -4*f - 5*v - 17723. Suppose -5*p - 98000 = -13*p. Let z = f + p. Round z to the nearest one thousand. 7000 Let n = 13 + -44. Let h = 146176 - 146145.0023. Let z = h + n. Round z to 4 decimal places. -0.0023 Let x = -0.078 - -3.448. Let d = x + -0.27. Let a = d + 15.8. What is a rounded to the nearest 10? 20 Let o = 23.814925 - 23.8. Round o to four decimal places. 0.0149 Let r = 1.0116 - 1.01158867. What is r rounded to six decimal places? 0.000011 Suppose 4*g - 3*u = 35, -2 - 3 = -4*g - 3*u. Suppose 0 = -2*k + 3*h - 6, -h + 3 = -g*k + 1. Let o be k + 1 + 34999995/5. Round o to the nearest 1000000. 7000000 Let j
{ "pile_set_name": "DM Mathematics" }
, -638, -871? -1114 What is next in -3238, -3237, -3236, -3235? -3234 What is the next term in 5, -46, -129, -244? -391 What is next in 15, 16, 17, 18? 19 What is the next term in 769, 768, 767? 766 What is the next term in -173, -187, -211, -251, -313, -403, -527, -691? -901 What is next in -32, -73, -118, -167, -220? -277 What is the next term in -527, -531, -533, -533? -531 What is the next term in 208, 489, 958, 1615? 2460 What comes next: -126, -138, -150, -162? -174 What comes next: 369, 372, 375, 378? 381 What is next in 1434, 1435, 1436, 1437, 1438? 1439 What is the next term in -14, -93, -234, -443, -726, -1089, -1538? -2079 What comes next: -212, -343, -474, -605? -736 What comes next: -35, -144, -321, -566, -879, -1260? -1709 What is the next term in 47, 80, 115, 152, 191, 232? 275 What is the next term in 92, 84, 70, 50, 24? -8 What is the next term in -5, 28, 63, 100? 139 What comes next: 987, 1959, 2921, 3879, 4839, 5807? 6789 What is the next term in -21, -30, -39? -48 What is the next term in 13, -20, -137, -380, -791? -1412 What is next in 3950, 3946, 3942? 3938 What is the next term in -156, -157, -158, -159? -160 What comes next: 345, 146, -195, -684, -1327? -2130 What comes next: 2, 14, 30, 50, 74? 102 What is the next term in 16, 29, 42, 55, 68, 81? 94 What comes next: 28, 45, 52, 43, 12, -47, -140? -273 What is next in 5728, 5716, 5690, 5644, 5572? 5468 What is the next term in 0, -38, -114, -234, -404, -630, -918, -1274? -1704 What is next in 4225, 4224, 4223, 4222? 4221 What is next in -29, -27, -29, -41, -69, -119, -197? -309 What is next in -109, -169, -269, -409, -589, -809? -1069 What is the next term in 158, 319, 486, 659, 838? 1023 What is the next term in 90, 93, 96, 99, 102? 105 What is the next term in 58, 137, 216, 295? 374 What is the next term in 730, 729, 728? 727 What is next in -37, -91, -169, -283, -445, -667, -961, -1339? -1813 What is the next term in 27, 65, 123, 207, 323, 477? 675 What comes next: -358, -660, -960, -1258, -1554? -1848 What is the next term in -121, -90, -47, 8, 75, 154, 245? 348 What is the next term in 1444, 2866, 4288? 5710 What comes next: -13, 0, 19, 44, 75, 112, 155? 204 What comes next: 41, 86, 163, 272, 413, 586? 791 What is the next term in 1207, 1206, 1205, 1204? 1203 What is next in -131, -263, -395, -527? -659 What is next in 17, 23, 29, 35? 41 What is next in 2052, 2034, 1990, 1908, 1776, 1582, 1314? 960 What is next in 12598, 25193, 37788, 50383? 62978 What comes next: 1058, 2114, 3170, 4226, 5282? 6338 What comes next: -19, 8, 53, 116, 197, 296? 413 What is the next term in -277, -273, -269, -265, -261, -257? -253 What is next in -65, -98, -133, -170, -209, -250, -293? -338 What is the next term in 284, 293, 316, 359, 428, 529? 668 What is next in -343, -686, -1027, -1366, -1703? -2038 What comes next: 390, 779, 1160, 1527, 1874, 2195, 2484? 2735 What is the next term in 1747, 1748, 1749, 1750? 1751 What is next in -14, -32, -56, -86, -122, -164? -212 What is the next term in -23, -36, -25, 22, 117? 272 What comes next: 14, 33, 56, 83, 114, 149? 188 What is next in 1193, 2395, 3599, 4805, 6013? 7223 What is next in -4020, -4018, -4014, -4008? -4000 What is next in 32, 52, 74, 98, 124, 152? 182 What is the next term in 504, 494, 484, 474, 464? 454 What is next in 166, 166, 168, 172? 178 What is the next term in -45, -84, -123, -162, -201, -240? -279 What is next in -43, -91, -147, -211, -283? -363 What comes next: -17, -62, -137, -242, -377? -542 What is the next term in 635, 2521, 5665, 10067, 15727? 22645 What is next in -489, -372, -177, 96, 447? 876 What comes next: 164, 168, 184, 218, 276? 364 What comes next: -233, -467, -703, -941, -1181, -1423, -1667? -1913 What comes next: -28, -27, -26, -25, -24? -23 What is the next term in 4, -7, -20, -35? -52 What comes next: 91, 191, 291, 391, 491, 591? 691 What is the next term in 313, 628, 943, 1258, 1573? 1888 What comes next: -5760, -23032, -51826, -92148, -144004, -207400, -282342, -368836? -466888 What is next in -21, -10, 5, 24, 47? 74 What is the next term in -62, -61, -48, -17, 38, 123, 244, 407? 618 What is the next term in -6230, -6235, -6240? -6245 What is the next term in 958, 1915, 2858, 3781, 4678, 5543, 6370? 7153 What comes next: 80, 399, 932, 1679, 2640, 3815? 5204 What is the next term in 129, 196, 307, 462, 661, 904? 1191 What is next in 12, 24, 36? 48 What is next in 8, 38, 114, 254, 476? 798 What is the next term in 108, 111, 114, 117, 120? 123 What comes next: 448, 904, 1362, 1822, 2284, 2748, 3214? 3682 What is the next term in -124, -93, -62, -31? 0 What comes next: -61, -191, -407, -709, -1097? -1571 What is next in 72, 81, 92, 105, 120, 137? 156 What is next in -17, -48, -105, -194, -321, -492, -713, -990? -1329 What comes next: 150, 151, 144, 123, 82, 15, -84? -221 What is next in 108, 129, 166, 225, 312, 433? 594 What comes next: -1829, -3664, -5499, -7334? -9169 What is next in 3125, 6245, 9365, 12485, 15605, 18725? 21845 What comes next: 240, 262, 300, 360, 448, 570, 732? 940 What is the next term in -186, -366, -546, -726, -906? -1086 What is the next term in 20, 78, 168, 284, 420, 570, 728? 888 What is the next term in 11, 10, 3, -16, -53, -114, -205, -332? -501 What comes next: 12, 28, 44, 60, 76? 92 What comes next: -14, -2, -2, -20, -62, -134, -242, -392? -590 What comes next: 4, 20, 40, 64, 92, 124, 160? 200 What is the next term in -1, -7, -13? -19 What comes next: 59, 246, 561, 1004? 1575 What is next in 13, -21, -71, -137, -219, -317? -431 What is the next term in 11365, 11367, 11369, 11371, 11373, 11375? 11377 What is the next term in 219, 217, 215, 213, 211, 209? 207 What comes next: -22531, -22530, -22529, -22528, -22527? -22526 What comes next: -80, -165, -250, -335, -420, -505? -590 What comes next: 13, 8, 5, 4, 5, 8, 13? 20 What comes next: -28, -52, -114, -232, -424, -708? -1102 What comes next: 90, 183, 274, 363? 450 What is the next term in 17, 55, 121, 215, 337? 487 What is the next term in -60, -116, -172? -228 What is next in 97, 194, 291? 388 What is the next term in 4889, 9777, 14665, 19553, 24441, 29329? 34217 What comes next: 223, 186, 133, 58, -45, -182, -359? -582 What is the next term in -25, -61, -121, -205, -313, -445? -601 What is next in 67, 226, 651, 1474, 2827, 4842? 7651 What is the next term in 12, 21, 30? 39 What is the next term in 33, 63, 91, 117? 141 What is the next term in 1, -17, -61, -143, -275, -469, -737? -1091 What is the next term in -40, -44, -64, -106, -176? -280 What comes next: -181, -182, -173, -148, -101, -26, 83? 232 What comes next: 36, 17, -38, -147, -328, -599? -978 What comes next: -396, -789, -1182, -1575, -1968, -2361? -2754 What is next in 1261, 1244, 1215, 1168, 1097, 996? 859 What is the next term in 247, 489, 731, 973, 1215? 1457 What comes next: 8, 1, -10, -25? -44 What is next in 7, 0, -7? -14 What is next in -97, -205, -321, -445? -577 What is next in -41, -36, -27, -14, 3? 24 What is next in 266, 532, 798, 1064, 1330, 1596? 1862 What is the next term in -267, -301, -359, -441, -547, -677, -831? -1009 What is the next term in 14, 18, 24, 32, 42, 54, 68? 84 What is the next term in 408, 799, 1190, 1581, 1972? 2363 What is next in -159, -317, -477, -639? -803 What is next in 49, 123, 269, 505, 849, 1319? 1933 What is next in 55, 49, 39, 25, 7, -15? -41 What is the next term in 224, 213, 202, 191? 180 What is the next term in -1349, -1352, -1355? -1358 What comes next: 272, 544, 816, 1088? 1360 What is the next term in 83, 76, 69, 62, 55, 48? 41 What is next in -22, -31, -40, -49? -58 What is the next term in 660, 658, 656, 654, 652? 650 What is the next term in -146, -148, -152, -158? -166 What is the next term in -11, 72, 157, 244, 333, 424, 517? 612 What is the next term in 1, 54, 121, 208, 321? 466 What comes next: -37, -55, -97, -175, -301, -487? -745 What is next in 33775, 33774, 33773? 33772 What is the next term in -23, -16, -19, -38, -79, -148? -251 What is the next term in -1047, -1053, -1059? -1065 What is next in 7, 37, 67? 97 What comes next: -158, -149, -134, -113? -86 What is next in -51, -253, -595, -1083, -1723? -2521 What is the next term in -194, -206, -240, -308, -422, -594, -836? -1160 What comes next: -
{ "pile_set_name": "DM Mathematics" }
base 10? 1393 Convert -42a (base 14) to base 13. -4b3 Convert 32101 (base 5) to base 9. 2850 What is 130 (base 15) in base 5? 2040 -796 (base 10) to base 13 -493 Convert 711 (base 13) to base 4. 102231 What is -7294 (base 11) in base 6? -112422 aa9 (base 14) to base 15 959 -20201 (base 5) to base 10 -1301 Convert 11011002 (base 3) to base 13. 14ba Convert -146c (base 15) to base 11. -331a Convert 9393 (base 12) to base 10. 16095 100000101101101 (base 2) to base 15 4e69 Convert -1001111100110 (base 2) to base 15. -1799 What is -11000011001 (base 2) in base 12? -aa1 What is -22571 (base 9) in base 14? -56ad Convert 3081 (base 11) to base 16. ff2 What is -74 (base 8) in base 12? -50 Convert -12211 (base 5) to base 14. -4a7 What is 20021120 (base 4) in base 16? 8258 What is -4764 (base 9) in base 11? -272a 62a (base 11) to base 12 532 Convert 133122 (base 8) to base 13. 18324 What is -2414 (base 5) in base 16? -167 -4d (base 16) to base 6 -205 1595 (base 11) to base 4 133320 -1130432 (base 5) to base 6 -240010 1ce7 (base 16) to base 5 214044 314 (base 11) to base 10 378 Convert -223340 (base 5) to base 16. -1f22 864 (base 14) to base 2 11001111000 What is 34a6 (base 15) in base 16? 2bad What is -3555 (base 7) in base 5? -20224 244 (base 6) to base 14 72 What is 4fb4 (base 16) in base 9? 30881 What is -401334 (base 5) in base 9? -18402 101111001 (base 2) to base 15 1a2 -588 (base 13) to base 14 -4c5 What is -706 (base 16) in base 9? -2417 Convert -3011122 (base 4) to base 5. -401014 What is -1430 (base 8) in base 15? -37c What is -28485 (base 9) in base 6? -225335 2012210 (base 4) to base 11 651a What is -29a6 (base 11) in base 16? -f1b Convert 12c (base 13) to base 6. 543 -11110010001011 (base 2) to base 11 -10710 What is 32656 (base 8) in base 2? 11010110101110 What is 2004 (base 9) in base 6? 10434 What is 231262 (base 7) in base 9? 62581 Convert -2820 (base 10) to base 7. -11136 What is 4121413 (base 5) in base 11? 46468 -1280 (base 11) to base 15 -75b What is -17675 (base 9) in base 10? -12218 Convert 111322233 (base 4) to base 2. 10101111010101111 -7ecb (base 16) to base 5 -2014314 -13425 (base 6) to base 10 -2105 What is 10110000110 (base 2) in base 3? 1221101 What is 11001001101 (base 2) in base 7? 4463 What is -2a9 (base 13) in base 12? -339 Convert -8473 (base 14) to base 15. -6b77 -133 (base 14) to base 16 -f1 What is -be52 (base 16) in base 2? -1011111001010010 69cb (base 14) to base 6 221115 Convert 23a (base 14) to base 16. 1bc What is -41364 (base 7) in base 15? -3010 Convert -24060 (base 7) to base 8. -14110 -7712 (base 13) to base 9 -24658 What is -2a81 (base 13) in base 11? -4717 What is -31225 (base 6) in base 5? -113233 Convert -1567 (base 12) to base 14. -cc7 Convert 1010202 (base 3) to base 14. 434 What is -514 (base 16) in base 12? -904 3c3 (base 15) to base 10 858 Convert 9880 (base 10) to base 9. 14487 3500 (base 9) to base 8 5040 -3301 (base 4) to base 10 -241 -1314e (base 16) to base 3 -10222012202 285 (base 11) to base 8 517 What is -2121121 (base 4) in base 9? -14417 What is -567a (base 11) in base 12? -43a4 What is 2121033 (base 4) in base 2? 10011001001111 2044 (base 5) to base 15 134 Convert -49852 (base 10) to base 14. -1424c Convert -110111101000000 (base 2) to base 11. -1a441 What is 140283 (base 9) in base 5? 10214110 113103 (base 5) to base 9 5624 Convert 4676 (base 9) to base 16. d8f -31032 (base 4) to base 8 -1516 What is 1000202210 (base 3) in base 6? 233420 6206 (base 7) to base 11 1696 Convert 1bab9 (base 12) to base 8. 120555 What is -1635 (base 14) in base 8? -7577 What is 20604 (base 8) in base 11? 64a0 What is -1118 (base 16) in base 3? -20000002 What is 16100 (base 10) in base 15? 4b85 What is 111 (base 13) in base 5? 1213 Convert -1e7 (base 15) to base 14. -238 Convert d23d (base 16) to base 4. 31020331 Convert 537 (base 8) to base 3. 111000 -451 (base 7) to base 12 -174 Convert d5 (base 16) to base 13. 135 6638 (base 9) to base 7 20162 -236 (base 15) to base 4 -13311 Convert -1b80 (base 12) to base 14. -1356 -7074 (base 8) to base 15 -112e -4375 (base 10) to base 9 -6001 2801 (base 9) to base 6 13431 -23151 (base 10) to base 15 -6cd6 What is -10220012 (base 3) in base 9? -3805 What is 13421 (base 6) in base 4? 200311 Convert 14544 (base 6) to base 4. 211000 What is 2003 (base 7) in base 9? 845 Convert 211430 (base 5) to base 7. 26513 Convert 1110001 (base 3) to base 4. 100132 What is 100001010101 (base 2) in base 9? 2830 -10028 (base 9) to base 15 -1e42 Convert -101110 (base 2) to base 5. -141 -41143 (base 5) to base 10 -2673 What is 922a (base 13) in base 9? 30565 Convert 5b25 (base 15) to base 11. 13623 Convert -2824 (base 12) to base 8. -11034 1024 (base 8) to base 16 214 Convert 1111022 (base 3) to base 12. 768 Convert 2187 (base 14) to base 16. 16ab Convert 62b4 (base 13) to base 16. 3563 42154 (base 10) to base 4 22102222 Convert 254 (base 10) to base 13. 167 20111 (base 3) to base 8 257 Convert 3203 (base 6) to base 12. 503 What is a8 (base 11) in base 7? 226 What is -e0e (base 15) in base 11? -2417 -1020010212 (base 3) to base 9 -36125 -150 (base 12) to base 5 -1304 What is 3431 (base 5) in base 3? 200012 Convert -13c3 (base 14) to base 9. -4722 What is -3b2 (base 14) in base 16? -2e8 154 (base 8) to base 5 413 -10101101100101 (base 2) to base 14 -4097 What is 10000111001 (base 2) in base 7? 3103 Convert 729 (base 11) to base 15. 3d8 -12b9c (base 13) to base 2 -1000100001111111 112011011 (base 3) to base 10 10318 Convert -24424 (base 5) to base 9. -2501 1110100100110111 (base 2) to base 16 e937 Convert -938d (base 16) to base 12. -19a39 Convert -1b0 (base 15) to base 14. -1dc What is 10100010101 (base 2) in base 10? 1301 What is 302000 (base 5) in base 16? 2599 -904 (base 11) to base 16 -445 b4 (base 12) to base 7 253 10026 (base 8) to base 6 31022 -5822 (base 9) to base 13 -1c6a What is 1960 (base 14) in base 3? 20022002 Convert -13030233 (base 4) to base 7. -151653 10000011 (base 2) to base 3 11212 What is 111101010011010 (base 2) in base 6? 401150 -2553 (base 10) to base 7 -10305 What is 100 (base 3) in base 5? 14 Convert -2604 (base 13) to base 6. -41020 285 (base 12) to base 11 324 What is -12505 (base 8) in base 16? -1545 What is -101110 (base 2) in base 7? -64 Convert 205 (base 15) to base 11. 384 Convert -123553 (base 8) to base 9. -64711 What is -333125 (base 6) in base 4? -12310031 What is -139 (base 14) in base 15? -117 What is 10011001000 (base 2) in base 11? a13 What is 13076 (base 13) in base 6? 431105 Convert -2217 (base 16) to base 5. -234402 Convert -7552 (base 12) to base 16. -324e 628c (base 15) to base 11 14719 What is 111011000 (base 2) in base 4? 13120 Convert -210311 (base 4) to base 16. -935 2307a (base 11) to base 6 414242 Convert 2c23 (base 16) to base 7. 44641 Convert -17256 (base 8) to base 10. -7854 What is -220 (base 8) in base 7? -264 What is 1010012012 (base 3) in base 16? 55fa -576 (base 13) to base 3 -1021220 Convert -2533 (base 9) to base 10. -1893 What is -12210120 (base 3) in base 14? -177d -1930 (base 11) to base 9 -3325 Convert 1010012121 (base 3) to base 5. 1201041 592 (base 12) to base 13 4bb 713 (base 9) to base 14 2d5 What is 3215 (base 6) in base 10? 731 -12541 (base 6) to base 5 -30213 Convert -1698 (base 13) to base 16. -d08 What is -122000202 (base 3) in base 4? -3001331 Convert -43403 (base 6) to base 3. -22012110 What is -173 (base 14) in base 6? -1213 b91 (base 12) to base 11 12aa Convert -20322 (base 10) to base 5. -1122242 1200 (base 3) to base 16 2d What is a0c2 (base 14) in base 16? 6bda 143132 (base 5) to base 9 8253 154 (base 14) to base 5 2040 What is 26127 (base 9) in base 3? 220010221 Convert 111101000101 (base 2) to base 13. 1a19 What is 235 (base 9) in base 2? 11000010 What is -13132 (base 5) in base 16? -412 What is 11110001001111 (base 2) in base 10? 15439 12220212 (base 3) to base 7 15404 What is 1042131 (base 5) in base 8? 43760 50 (base 7) to base 12 2b 922 (base 15) to base 2 100000001001 What is 1313000 (base 4) in base 6? 55132 18b9 (base 15) to base 10 5349 Convert -20233 (base 4) to base 13. -340 Convert 13013320 (base 4) to base 3. 1111000121 Convert 243 (base 6) to base 14. 71 What is -1022022220 (base 3) in base 15
{ "pile_set_name": "DM Mathematics" }
f(p) = p + 3*p**2 - p**3 - 4*p - 3*p**2 + 5*p**2 - 4. Let k = 59 - 56. What is the units digit of f(k)? 5 Let c(b) = b**3 + 19*b**2 + 14*b - 14. What is the tens digit of c(-13)? 1 Suppose 0 = 4*h - 2*a - 638, 4*h + 3*a = h + 474. Suppose 7*q - 4*q = h. What is the units digit of q? 3 Let j be 1/((-12)/16*(-1)/255). Suppose 4*x = -4*a + j, 2*x - 4*x - 4*a = -166. What is the tens digit of x? 8 Let g be 2 - (-4)/(-6)*-6. What is the units digit of (-4)/3*(-279)/g? 2 Let g = 26 - 23. What is the tens digit of g + 5 + -6 + 113? 1 Suppose -5*u + 2*c = -3355, 4*u - 7*u = 2*c - 2029. What is the tens digit of u? 7 Let x = 25 + -39. What is the tens digit of x*1/((-4)/18)? 6 Suppose 0*z - 4*a - 934 = -2*z, 5*z = -5*a + 2395. Let f = z - 278. What is the units digit of f? 7 Suppose 0 = -7*z + 28*z - 1155. What is the units digit of z? 5 Suppose 0*f = -3*u + 3*f + 15, 17 = 3*u - 4*f. Suppose m = 2*i + 118, u*i - 94 = -3*m + 278. Let p = -74 + m. What is the units digit of p? 8 Suppose 2*b - 5 = t + 5, 2*t - 4 = -4*b. Let s be ((-28)/(-12))/(1/b). Suppose 5*z - s*z = -32. What is the units digit of z? 6 Suppose 0 = 8*o + 4*o - 24. Suppose -3*l = -2*p - 629, l - 207 = -o*p - 0*p. What is the units digit of l? 9 Let f(z) = z**3 - 6*z**2 + 7*z - 4. Let r = 3 + 2. Let h be f(r). Suppose 3*n + 2*k - 92 = h*k, 5*n - 176 = k. What is the tens digit of n? 3 Let l(i) = 2*i**2 + 12*i - 23. Suppose 9*m - 4*m = 25. What is the units digit of l(m)? 7 Suppose 0 = 13*j - 11*j + 174. Let w = -56 - j. What is the units digit of w? 1 Let p(l) = l. Let c(t) = 15*t. Let b(y) = -c(y) + 9*p(y). Let o be b(1). What is the units digit of 1 + 0 + (-24)/o? 5 Let x = 12 - -156. Let i = x - 120. What is the units digit of i? 8 Let w(r) = r**3 - r**2 + 2. Let z be w(0). Suppose -19 = -5*j - b - 0*b, -j - z*b = -2. Suppose -a + 31 = -u - 30, a - 73 = j*u. What is the tens digit of a? 5 Suppose -x + 14 = 6. Suppose 0 = -3*l + x + 7. Let u(o) = 9*o - 1. What is the units digit of u(l)? 4 Let m = 0 + 4. Suppose 0 = 5*l - m*r + 86, 2*l = 7*l - r + 74. What is the units digit of (-5)/35 + (-212)/l? 5 Let p = -1 - 3. Let y(l) = 7*l**2 - 4*l. What is the hundreds digit of y(p)? 1 What is the units digit of 87*(-73)/((-7 + 8)*-3)? 7 Let j = -145 - -213. Suppose -20 = 4*i - 9*i. Suppose i*d - 13 = -2*x + 15, -4*x - 5*d + j = 0. What is the tens digit of x? 2 Let i(o) be the third derivative of o**6/120 + o**5/4 - 11*o**4/12 + 19*o**3/6 + 10*o**2. What is the hundreds digit of i(-16)? 1 Let w = -8 - -9. Let j be ((0 + w)*-37)/1. Let l = -7 - j. What is the units digit of l? 0 Let d be -2 - (0 - (-4 + 2)). Suppose 9*x - 31 = 6*x - 5*o, 5*x - 5*o = -15. What is the units digit of -6*(x/d + -1)? 9 Let l(g) = g**2 - 4*g - 7. Let y(x) = -x**2 - 2*x + 5. Let j be y(-4). What is the units digit of l(j)? 4 Suppose -828 = 68*p - 71*p. What is the tens digit of p? 7 Let x = -2745 + 3910. What is the tens digit of x? 6 Let y(v) = -235*v + 157. What is the hundreds digit of y(-8)? 0 Suppose 8*k - 6539 = 3*k + 3*x, -3*k - 5*x + 3937 = 0. Suppose -4*b - 7*b + k = 0. What is the tens digit of b? 1 Suppose -468 = -5*q - 2*b + 5393, -2*b = 4. What is the hundreds digit of q? 1 Let y be 9/27 + ((-22)/(-6) - 1). Suppose -y*d - 3*u = -90, u = d + 3*u - 34. What is the tens digit of d? 2 Let g(y) = -y**2 + 7*y. Let d be g(6). Suppose d*m - 9 = 3. Suppose 0 = 3*u - f - 89, m*f = 3*u - 6*u + 101. What is the tens digit of u? 3 Let n = -4 - -9. Let d = n - -13. Let h = d + 12. What is the units digit of h? 0 Let z(c) be the second derivative of 0 + 2*c**2 + 1/2*c**3 + 1/12*c**4 - 4*c. What is the units digit of z(3)? 2 Suppose 3*f = 3*j + 6, j - 2*f + 4*f = 13. Suppose -j*b + 913 - 265 = 0. What is the tens digit of (b/20)/((-4)/(-10))? 2 Suppose 8*r - 3*v = 3*r + 201, 4*r - 177 = -3*v. Suppose -b - r = -4*b. Let s = 4 + b. What is the tens digit of s? 1 Let m(r) = 2*r**3 + 8*r**2 + 9*r + 4. Let b be m(-6). Let p = b - -399. What is the tens digit of p? 0 What is the hundreds digit of (-4)/6 + 103505/381? 2 Let g(i) = -i**2 + 14. Let n be g(0). Let m be (-4)/(-12) + n/3. Suppose -103 = -2*p - m*k, -150 - 42 = -3*p + 5*k. What is the tens digit of p? 5 Let o(i) = -10*i - 16. Let c(t) = t**3 + 6*t**2 - 8. Let h be c(-6). What is the units digit of o(h)? 4 Let o(j) = -2*j**3 - 7*j + 228. What is the units digit of o(0)? 8 Suppose 5*u - 3920 = u + 4*t, -5*u + 4*t + 4904 = 0. Suppose 0 = 9*z + 3*z - u. What is the units digit of z? 2 Suppose -2*m + 6 = 0, 1023 = y + 2*y - 3*m. What is the tens digit of (y/10)/((-10)/(-50))? 7 Let x be -3*(-6)/(-9)*-1. Let m = 2 + x. What is the units digit of m/(-6*(-8)/36)? 3 Let z(a) be the first derivative of -a**5/20 - a**4/3 + a**3 + 4*a**2 + 4*a - 6. Let q(h) be the first derivative of z(h). What is the tens digit of q(-6)? 4 Let r(o) = 15*o + 170. What is the units digit of r(23)? 5 Let o = -343 + 712. What is the hundreds digit of o? 3 Let z be 58/7 - 18/63. Suppose -z*u + 403 - 131 = 0. What is the units digit of u? 4 Let g be (16/20 - -1)*(-2 + -3). Let t = g + 81. What is the units digit of t? 2 Let l be 87 + (-12)/((-4)/(-1)). Let s be (1 - l)*(-3 - -4). Let x = s + 118. What is the tens digit of x? 3 What is the hundreds digit of 534/(-5)*(15/2)/(-3)? 2 Let m be (-6 - -24) + (-2)/1. Suppose -3*i = 4*x + 2*i + 51, x - 2*i + m = 0. What is the tens digit of (1*x)/(-2)*5? 3 Let v(o) = 7*o**2 - 12*o - 47. What is the units digit of v(12)? 7 Let q(a) = a**3 + 11*a**2 - 18*a - 23. What is the units digit of q(7)? 3 Suppose -6 - 1 = 4*r - 5*y, -2*r - y = -7. Let u(a) = 1 - 2*a - r*a**2 + 3*a**2 - 1. What is the units digit of u(4)? 8 Suppose -2725 = -3*d - 421. What is the tens digit of d? 6 Let h(s) = s**3 + 11*s**2 + 3*s - 24. Let n be h(-10). Let w = n + 78. What is the tens digit of w? 2 Suppose 4*g - 4 = 4. Suppose -g*a - 2*a + 104 = 0. What is the units digit of a? 6 Let q(u) = u**3 + 5*u**2 + 3*u + 2. Let i be q(-4). Suppose 0 = 4*x + 2*v - 32, 3*x - 2*v + i = 23. Suppose 3*l - x = 20. What is the units digit of l? 9 Suppose -28 + 94 = -3*p. Suppose 0 = -4*x + 3*v + 16, 4*v + 6 = -3*x - 7. What is the units digit of (x - p)*(-2)/(-2)? 3 Let p be -9 - 12/8*-2. Let o be 4*(-2 + (-15)/p). Suppose o*l - m = 24, 2*m - 5*m + 49 = 5*l. What is the tens digit of l? 1 Let m(v) = v**3 + 51*v**2 - 168*v - 153. What is the hundreds digit of m(-54)? 1 Let d be 15/12*8/1. Let f(c) = 11*c + 9. Let t be f(d). Suppose -5*y = -4*r - 27 + 156, -4*r + t = 5*y. What is the units digit of r? 1 Let w be (-1)/(-3 + 1 + 1). Let t = 9 + w. What is the units digit of 8 - t - (-20)/2? 8 Suppose 36*p - 13966 - 11018 = 0. What is the units digit of p? 4 Let n = -118 - -181. Let x = 118 - n. Let w = x + -21. What is the units digit of w? 4 Let j(m) = m**3 + 4*m**2 - 7*m - 5. Let f be j(-5). Suppose -k = -f*k + 28. Suppose 57 = 5*c + k. What is the units digit of c? 0 Let m be (-2)/(-3) + (-615)/(-9). Suppose 2*w + 11 - m = 0. Let l = w - 19. What is the units digit of l? 0 What is the tens digit of 1/(-6) - (1677/(-18) + 5)? 8 Let z(r) = r**2 + r + 2. Let x(v) = -4*v**2 + 1. Let k be x(2). Let c be k/(-6) + (-2)/4. What is the units digit of z(c)? 8 Let o(u) = 5*u**2 + 3*u - 2. Let c(d) = -d**2 + 10*d - 27. Let g be c(6). What is the tens digit of o(g)? 3 Let v be -3*15/(-9) + 1. Let x be 42/v - 4/2. Suppose -3*u - 10 = -x*u, u - 200 = -5*h. What is the units digit of h? 9 Suppose -2*q = -0*q - 30. Suppose -2*o - 2*y = 10, -3*y = -3*o + o + q. Suppose o = p - 10. What is the tens digit of p? 1 What is the thousands digit of 0 + 131055/55 + (-12)/(-66)? 2 Suppose 3*y - 138 - 342 = 0. What is the units digit of y/(-15)*(-5)/((-5)/(-6))? 4 Let l(o) = 47 - 19*o**2 + 37 - 16*o - o**3 - 2*o**2 - 130. What is the tens digit of l(-21)? 9 Suppose 0 = -5*a - 2*l + 31, 0 = 4*a + 4*l - 2*l - 24. Let h = a + -15. Let k(m) = -m**2 - 10*m - 10. What is the units digit of k(h)? 6 What is the tens digit of 4/(-3) + 2 + 1104842/258? 8 Suppose 9 = -3*b, -155 = -5*t - 4*b - 1312. Let y = 409 + t. What is the hundreds digit of y? 1 Let w(t) be the third derivative of t**4/3 - t**3/6 + 12*t**2. Let f = 2 + -1. What is the units digit of w(f)? 7 Suppose 0 = -7*n - 505 + 4642. What is the tens digit of n? 9 Let w = 441 + 1
{ "pile_set_name": "DM Mathematics" }
*((k**(-15)/k)/k)/k)/(k/k**(-2/7))**(-14) assuming k is positive. k**(11/4) Simplify (u/u**(-5))/u*u**4*(u*u**(-1/16))/u**(1/23) assuming u is positive. u**(3641/368) Simplify (c**(-30)/(c*c**30*c))**(2/7) assuming c is positive. c**(-124/7) Simplify ((g**4/g)/g)**6/(g**(-6/7)*g*g/g**16) assuming g is positive. g**(188/7) Simplify (y**(-13)/y**(-3/2))/(y/(y**(4/5)*y))**(2/9) assuming y is positive. y**(-1019/90) Simplify ((a*a/a**(-6/13))/a*a*a**16)/(a/(a/(a/(a*a*a/(a*a/(a**(-22)*a)*a)*a))*a)*a**(-3/14)) assuming a is positive. a**(-241/182) Simplify (c**(-2/3)*c**(10/3)/c*(c*c**(-3)*c*c)**(2/33))**(-46) assuming c is positive. c**(-230/3) Simplify (l**(12/7)/(l/l**(-10/3)))/((l/((l**(-20)*l)/l))/l**(2/3)) assuming l is positive. l**(-482/21) Simplify (m**27/(m*m**(23/4)*m))/(((((m*m**(-1/6)*m)/m)/m)/m)/m)**(1/3) assuming m is positive. m**(719/36) Simplify (a**(-6))**(3/29)*(a**(-8/3))**(-2) assuming a is positive. a**(410/87) Simplify ((((b**(16/5)*b)/b)/b)/(b/(b/b**(4/7))))/(b*(b/(b*b**3/b))/b*b**12) assuming b is positive. b**(-293/35) Simplify ((o*o*o**(1/3))/o)/o**(6/11)*(o**4)**(-24/5) assuming o is positive. o**(-3038/165) Simplify (i**(1/5)/(i/(i**(3/11)/i)))/(i*i**(-20)*i/(i*i/(i/(i/i**(-8))))) assuming i is positive. i**(1456/55) Simplify (v**(-7/5))**(-5/4)*(v*v**(-2/39)*v*v)**(3/35) assuming v is positive. v**(729/364) Simplify (w/w**(-14))/w**(-13)*w**(-1/12)/w*w*w**(-10/11) assuming w is positive. w**(3565/132) Simplify (r*r**10)/r*r**(2/3)*(r/(r/((r*r**(-6)/r)/r)))**(-31) assuming r is positive. r**(683/3) Simplify b**(1/8)/(b/(b*b**(-9)*b))*b*b**(-10)*b*b**(-8/9) assuming b is positive. b**(-1207/72) Simplify o*(o*o/(o/o**(-3/16)))/o*o/o**3*o*o**(-5/8)*o**(-12) assuming o is positive. o**(-205/16) Simplify ((h**2/h)/(h**(3/2)*h))/(((h/((h/h**(-1/6))/h))/h)/h**(-2/3)) assuming h is positive. h**(-2) Simplify ((w**2)**(-1)*(w**(-2/7)/w*w)**(4/29))**(2/9) assuming w is positive. w**(-92/203) Simplify (p**14)**(-2)/(p**(1/2))**5 assuming p is positive. p**(-61/2) Simplify (((i*i**(1/6))**(2/21))**(-19))**(-9) assuming i is positive. i**19 Simplify ((j/(j/j**(2/5)))**(-2/53)/(j**(-2))**(-22))**(2/19) assuming j is positive. j**(-23328/5035) Simplify ((((q*q*q**(-2/3)/q)/q)/q)**39*q**(-4/5)*q*q**(-2/5))**(-16) assuming q is positive. q**(5216/5) Simplify (c*c*c/(((c/c**(-1))/c)/c)*c*c)**(-2/85)/(c/c**(1/3)*c)**(-12) assuming c is positive. c**(338/17) Simplify ((l*l**(-1/7)*l)/(l**(3/8)/l))/(l**(-1)*(l/(l/((l*l**(-9))/l)))/l) assuming l is positive. l**(755/56) Simplify (x**(-2/31)*x**4*(x*x*(x*x*x**2*x*x)/x)**(-6))**(-13) assuming x is positive. x**(15340/31) Simplify ((f/f**18)**(3/2))**17 assuming f is positive. f**(-867/2) Simplify (((k**(2/3))**50)**(-22))**(-31) assuming k is positive. k**(68200/3) Simplify (p/(p*p**(-22)*p)*p/(p/(p*p**(2/21))*p))**16 assuming p is positive. p**(7088/21) Simplify (i**(-1/6)*i)/(i**(3/5)/i)*i/((i**(-8/3)/i)/i)*i**(5/6) assuming i is positive. i**(116/15) Simplify ((q**15/q)**(2/45))**36 assuming q is positive. q**(112/5) Simplify (h*h*h/(h**(-5/6)/h)*h*h)/((h**6*h)/h)*(h*h*h**(-14)*h)**(-43) assuming h is positive. h**(2843/6) Simplify ((j/j**(2/7)*j)/j)**46/(j/((j**(5/6)/j)/j))**23 assuming j is positive. j**(-713/42) Simplify (r/(r**15*r)*r)**(6/19)*(r**8)**(-3) assuming r is positive. r**(-540/19) Simplify (i*i**0*((i**(4/3)*i)/i)/i*((i/(i*(i/(i/i**8*i))/i))/i)/(((((i**4/i*i)/i)/i)/i)/i))**(2/77) assuming i is positive. i**(-34/231) Simplify (z*(z/z**(-1/2)*z)/z*z*z*z*z**(-12))/((z*z**11*z*z)/(z/z**(-8/5))) assuming z is positive. z**(-179/10) Simplify ((x/x**(-1))**(-40)/((x*(x/(x*x**(1/13))*x)/x)/(x**4/x*x)))**31 assuming x is positive. x**(-31000/13) Simplify (w**(13/4))**(3/11)/(w**(13/2)*w**21*w) assuming w is positive. w**(-1215/44) Simplify ((q**(2/27)/q*q)**39)**(35/3) assuming q is positive. q**(910/27) Simplify (((o/((o/o**(-10))/o))/((o**11*o)/o*o))**(-4))**13 assuming o is positive. o**1092 Simplify (s/(s/((s/(s*s**9))/s)))/(s/(s**(-21)*s))*(s**(-4)/s*s)**22 assuming s is positive. s**(-119) Simplify (y**(-3/2))**(2/83)/((((y**0/y)/y)/y)/y**10) assuming y is positive. y**(1076/83) Simplify (b**0*b**38)/((b/(b/b**39))/b**(6/5)) assuming b is positive. b**(1/5) Simplify ((q**2*q*q**(-2/3)/q)**29)**(-44) assuming q is positive. q**(-5104/3) Simplify (h/(h/(h*h/(h**(-6/5)*h))))**(30/11)*(h**(-17)/h)/(h*h*h**(-1/4)) assuming h is positive. h**(-55/4) Simplify (d**9*d/d**(-11))/((d/d**(-5/8))/d*d**(-2/13)/d) assuming d is positive. d**(2239/104) Simplify (l**(1/3))**48*(l*l**(-2/7))**(-22/3) assuming l is positive. l**(226/21) Simplify (b**(-1/3)/b*b/b**2)/((b*b*b**(9/5)*b)/(b**(-6/11)/b)) assuming b is positive. b**(-1432/165) Simplify (b**7/b**(-1/14))/(b**16*b*b**(10/3)/b) assuming b is positive. b**(-515/42) Simplify (((g**3*g*g)/g)/g)**35/(g**(-1/28)*g*(g*g/(g*g**(7/6)*g*g)*g)/g) assuming g is positive. g**(8921/84) Simplify (p**(1/23)/p)/(p*(p*p**(1/15)/p)/p*p)*p**(-19)*p/(p*p/p**39*p) assuming p is positive. p**(5512/345) Simplify (g*g**(-4/5)*g**(2/5))/(g*(g*g**(-1/7))/g*g*(g/g**0)/g*g) assuming g is positive. g**(-79/35) Simplify ((q*q/q**25)/q)/(q**(-2/91)/q)*(q**(-3/2))**(-3/40) assuming q is positive. q**(-166461/7280) Simplify (p*p/p**(-8))/(p/(p**(-2/7)*p))*(p**(-1/6))**(-28) assuming p is positive. p**(302/21) Simplify ((c/(c/c**(-3/8)*c))/(c**10*c))/(c/c**(-6/7)*c**(14/5)) assuming c is positive. c**(-4769/280) Simplify (((g*g**11)/(g**(2/5)*g))/(g**(-3/8)*g/(g/((((g*g**6)/g*g)/g)/g))))**(-15/11) assuming g is positive. g**(-717/88) Simplify (b*b**(-2/69)*b**12*b)/(b*b**(-9)*b)**24 assuming b is positive. b**(12556/69) Simplify (k**2*k**18)/(k**(-1/16)*k*k**14*k*k) assuming k is positive. k**(49/16) Simplify (((y*y/(y*y/y**0))**(-18))**(-3/5))**48 assuming y is positive. 1 Simplify ((x*x**(-4))/(x**(2/9)/x)*(x**(-5)*x)/x*x**4/x)**39 assuming x is positive. x**(-494/3) Simplify ((k**(-14/3))**(2/63))**(2/63) assuming k is positive. k**(-8/1701) Simplify ((d**0/d)**(17/4)*(d**(-1/4))**(-1/3))**(-40) assuming d is positive. d**(500/3) Simplify ((b/b**22*(b/b**(-18))/b)**(10/17))**(1/52) assuming b is positive. b**(-15/442) Simplify (((g**(1/4))**0)**45)**(3/20) assuming g is positive. 1 Simplify j**1*j**(-10)/j*j/j**(-1/4)*j*j**6*j assuming j is positive. j**(-3/4) Simplify ((n*n*(n/(n*n/(n**(-10)*n)*n)*n)/n)/n**5)/(n*n**(-6)*n*n**(1/8)) assuming n is positive. n**(-81/8) Simplify z**(-8)/(z/z**(1/2)*z)*z/(z*z/(z/z**7)*z)*z**(-5) assuming z is positive. z**(-45/2) Simplify (s*s**16*s*s**(-21)/s)/(((s*s**(-16)/s)/s)/(s/(s*s*(s**20*s)/s))) assuming s is positive. s**(-8) Simplify h**8/h*h**(-2/7)/h*h**(-5/2)/(h*h/(h/(h*h**(-3/4)))*h) assuming h is positive. h**(27/28) Simplify (r*r**(-26)*r*(r/r**(-36))/r*r*r)**(-3/11) assuming r is positive. r**(-42/11) Simplify ((u**(-1/3)*u)/(u*u**6/u*u)*(((u*(u**(2/7)/u)/u)/u*u)/u*u*u)**7)**(2/81) assuming u is positive. u**(-26/243) Simplify (l**(-12))**13*l**(-33)/(l**18/l*l) assuming l is positive. l**(-207) Simplify ((((k/(k*k*k/(k*k**(-2/7))))/k)/k**(-2))/(k*k**(-2/5)*k)**21)**41 assuming k is positive. k**(-48626/35) Simplify ((g/(g/g**(-11)*g))/g*g**9)/((g**(-2/3)/g*g)/(g*g**(-2/9))) assuming g is positive. g**(-23/9) Simplify (((z/(z/(z*z**(-11)*z)))/z)/z)/z*z*(z/(z/(z/z**(4/15))))/z*(z**(-2)/z)**(-14) assuming z is positive. z**(461/15) Simplify q**(-8/7)*q**(2/11)*(q*q*q/q**(-1/8))/q**(-3/10) assuming q is positive. q**(7589/3080) Simplify (y**3/y**2*(y/y**(-1))**(-20))**(-8/5) assuming y is positive. y**(312/5) Simplify ((z*z**(-11))/z*z*z*z*z/((z/(z**13*z))/z))/(z**(-1/5))**14 assuming z is positive. z**(49/5) Simplify (((o**2)**(-1/22))**(-34/9))**(-28) assuming o is positive. o**(-952/99) Simplify (b**3*b**(2/25))/(b*b/b**(-2/9))**(-1/9) assuming b is positive. b**(6737/2025) Simplify ((l**4*l**13)**(1/7))**(2/103) assuming l is positive. l**(34/721) Simplify (z**(-5/2)*z)**(-47)*z**(-2/9)*z**(-4/5) assuming z is positive. z**(6253/90) Simplify (((z**(-3/4)/z)/(z**(-1/2)/z*z))**(-8))**(-1/8) assuming z is positive. z**(-5/4) Simplify ((n*n**17)/n**(-1/4))/(n**16/n**(-4)) assuming n is positive. n**(-7/4) Simplify ((w**10/w*w*w*w**8/w)/(w/w**9*w*w*w/((w**9/w)/w)))**48 assuming w is positive. w**1440 Simplify (((x**(-2/9
{ "pile_set_name": "DM Mathematics" }
.37 Calculate 0.4 + 12042861122. 12042861122.4 Sum -62.8 and 0.0441586216329. -62.7558413783671 -4771045 + -72721 -4843766 What is 383165 take away -346629.1? 729794.1 Put together 717749 and 0.050366915. 717749.050366915 Total of 2066917133 and 126. 2066917259 Add together 3077953 and -31050.89. 3046902.11 Add -903 and 26011868278. 26011867375 Add 32179091311 and 5.8. 32179091316.8 What is the difference between -1609.9 and 88548464638? 88548466247.9 What is -0.4 plus -405685889713? -405685889713.4 What is 489732085 + 46281? 489778366 Put together 1728297825 and -119. 1728297706 What is the distance between 457.36561 and 17713? 17255.63439 -3+0.990210922509 -2.009789077491 Sum 10682 and 493183176. 493193858 What is the difference between -157862 and -158880.5? 1018.5 What is 427 minus 166308953623? -166308953196 Add 0.121 and -14055.140306. -14055.019306 Work out 37.24675 + -92852. -92814.75325 Work out -0.018187042596117 + 0.01. -0.008187042596117 What is 5582639 minus 22.266? 5582616.734 Calculate 0.067069625225 - 1.77. -1.702930374775 Put together -0.2 and -12474315574.7. -12474315574.9 What is -4348908 less than -0.19108? 4348907.80892 Work out 13.61264 + 6283.43861. 6297.05125 What is 454.39173 + -69307? -68852.60827 -4.16577194 + -1191 -1195.16577194 Add -229 and 70393.71615. 70164.71615 What is -5831294.32 plus -130? -5831424.32 Add together -0.6 and 104497034618. 104497034617.4 What is the difference between -0.012 and -507424485496? 507424485495.988 -42 - -9192354.111 9192312.111 What is the difference between 5 and -593727456915? 593727456920 What is the distance between 0.1 and 98411167650001? 98411167650000.9 Add together 646042664 and 8604. 646051268 -0.8538 - -238129552 238129551.1462 What is -1.081356 + -60099482? -60099483.081356 Calculate -79643165 + 12091. -79631074 Subtract -39195518875 from -11. 39195518864 Add together 4039941814545 and 0.004. 4039941814545.004 Sum -27916445 and -3675. -27920120 Total of -1094709699 and -6807. -1094716506 Work out -2267.942 + -180373. -182640.942 What is the distance between -193475.12495 and 0.02? 193475.14495 Add together -5032 and -3881529.787. -3886561.787 What is the difference between -2 and -13336182816? 13336182814 What is 39.773 take away 8039283027? -8039282987.227 What is the distance between -1 and 3853265533983.2? 3853265533984.2 Work out 485477 + -45.751052. 485431.248948 Total of 1207.56746374 and -0.3441. 1207.22336374 What is -0.29021135967 less than 4509? 4509.29021135967 Subtract -726522314.74 from 11. 726522325.74 What is the distance between -11258912 and 83614.7? 11342526.7 Add 3 and 42420931089.6. 42420931092.6 Subtract 34243530275 from -5. -34243530280 Calculate -1990510501 + -938. -1990511439 Sum -51298 and 9222530. 9171232 What is -1335947721 plus 8.8? -1335947712.2 Subtract 30281498072 from -8.293. -30281498080.293 Add 203 and -0.004538053694. 202.995461946306 8.2 - -12405.9895633 12414.1895633 Work out -123 - 1545418.719559. -1545541.719559 What is 214478 take away 21.7564? 214456.2436 Calculate 34.51 + 95895.52. 95930.03 What is 182559503802 + 0.5? 182559503802.5 Total of -3565462165.8 and -10.6. -3565462176.4 -16.29838+-0.267509 -16.565889 Subtract 103920 from -3563937.729. -3667857.729 Calculate -25.283 - -7011328. 7011302.717 Work out 13.2 - -22953631.3. 22953644.5 What is 238.4629 less than -1134504? -1134742.4629 Work out -12625 + -22692748. -22705373 Calculate 4 - 14334211376. -14334211372 What is -26.39 - 15237436? -15237462.39 Work out -41476 - 13343347. -13384823 Subtract 746901 from -104210830. -104957731 Add together 129061909.479 and 2.9. 129061912.379 203841.8 - 619861 -416019.2 Total of 1286498 and -0.0199575. 1286497.9800425 Add -18.9512 and 0.06710584. -18.88409416 What is -547679478657 minus 3? -547679478660 Add together -32020815633 and 4504. -32020811129 What is the difference between 8719.9069022 and -0.05? 8719.9569022 Add together -8735147156722 and -0.5. -8735147156722.5 536+-714006228357 -714006227821 Work out 6549078.7 - 246. 6548832.7 What is 3 less than 20303380977109? 20303380977106 What is 1.77 + -1154108.1602? -1154106.3902 What is -45161107344 - 0.3727? -45161107344.3727 Calculate -0.3 + 3333214771209. 3333214771208.7 What is -8.474 minus 6476978? -6476986.474 Work out -0.1643 + 9938546. 9938545.8357 Subtract -5833967429655 from 0.5. 5833967429655.5 What is -4327003748463 minus -132? -4327003748331 Total of -659 and -46880845. -46881504 Subtract 6976315 from 771.305. -6975543.695 What is -26022 take away 4133048? -4159070 Subtract -13.8047903625307 from -0.2. 13.6047903625307 62355257 + 27733 62382990 Add together 755503.8 and 576.11. 756079.91 960 - 5896620.6 -5895660.6 Work out -2686557.426674 - -0.148. -2686557.278674 What is the distance between -331884629514 and 2? 331884629516 What is 543180 plus 1348977? 1892157 Calculate -0.055 + 2545942.218. 2545942.163 Calculate 0.7 + -238826175255. -238826175254.3 26582722 + -6619 26576103 Put together -119.70707635 and -3. -122.70707635 Add 0.3 and -286.263596817. -285.963596817 719847415763 - 100 719847415663 Calculate -26679978 - 20.91. -26679998.91 Sum -6093338109 and -0.073. -6093338109.073 Add -403041435884599 and -3. -403041435884602 Work out -774.6874 - -3110684. 3109909.3126 Sum 1.1 and 688.209083449. 689.309083449 What is 0.016030330157 less than -0.3? -0.316030330157 What is the distance between 261495148 and -2.543141? 261495150.543141 What is -3649301583 - -66? -3649301517 Work out -0.5 - 123292113498. -123292113498.5 -0.3 + 11744268040 11744268039.7 Calculate -320208991386 - 3. -320208991389 Sum -0.1935 and -89892748705. -89892748705.1935 Work out -0.002 + -6921364691. -6921364691.002 Work out 307.338 + -3099825. -3099517.662 -150653403321+-79 -150653403400 Calculate -13.792308 + -78090. -78103.792308 Total of 3.924 and 17120594. 17120597.924 Calculate 550676.120845 - 17. 550659.120845 Add together -16 and -5167466870. -5167466886 Total of 0.5 and -24.910390947. -24.410390947 What is 3 less than 615543253378? 615543253375 Add 20986737 and -0.422. 20986736.578 What is 2 less than -51500.029939? -51502.029939 What is 2173 - -1717026227? 1717028400 Total of -23504867187.4 and -654. -23504867841.4 What is -2240471730198 take away -5? -2240471730193 Calculate -40922.69 + -0.21109253. -40922.90109253 Add together 0.09 and -10646019249.6. -10646019249.51 What is the difference between 23390 and 485894845? 485871455 34251801.6 + 3912 34255713.6 What is the distance between 22.65 and 61600.31467? 61577.66467 Work out -64.9028647 + 1097761. 1097696.0971353 Sum -68969201 and 1025. -68968176 Calculate -1860 + -5584.90944. -7444.90944 Add -1394 and -16732556866. -16732558260 What is -3 plus -244557444677? -244557444680 What is the difference between 900774234.673 and 2? 900774232.673 Calculate 1834 + -53662.893. -51828.893 Calculate -38461654902.28 - -3. -38461654899.28 What is 208843905 less than 654? -208843251 Put together 189.3 and 0.37225507. 189.67225507 Subtract 2307253794 from 9287. -2307244507 Total of 0 and -0.0513772147625. -0.0513772147625 Work out -90326244200.65 + 0.03. -90326244200.62 Add together -176113.89 and 167864. -8249.89 369231791 + 1084857 370316648 -11433+0.4470817 -11432.5529183 Add together 4 and 22642.217946. 22646.217946 -2021582440648.2 - -2 -2021582440646.2 What is -90560 - 971921.37? -1062481.37 Add -0.1466 and -4860820773. -4860820773.1466 Add together 3 and -1910.61574207. -1907.61574207 Add 23.9312 and -0.247699517. 23.683500483 -0.313+-16244443423 -16244443423.313 What is 1.773 less than 16591245.53? 16591243.757 Put together 9.842 and -25429674. -25429664.158 Put together 1407685 and -7015802. -5608117 What is -3.26286310605 minus 0.18? -3.44286310605 Add -1022985.7 and 4.24888. -1022981.45112 What is 4227122.805 less than 0.25? -4227122.555 Put together -1990842 and -21.6319084. -1990863.6319084 What is the difference between 1.9458 and -66007.81? 66009.7558 Work out -1161 - -118865168200. 118865167039 Put together -576867223.269131 and -1. -576867224.269131 What is the difference between 5 and -58326099824? 58326099829 Calculate 1.65 + 0.0048649404511. 1.6548649404511 Calculate -611568.7 - -0.348822. -611568.351178 Calculate 0.022 - -137.851
{ "pile_set_name": "DM Mathematics" }
))*-3. -5 Simplify (sqrt(68) + (sqrt(68) - 2*sqrt(68))*-3)/sqrt(4). 4*sqrt(17) Simplify 1 + sqrt(540)/sqrt(12). 1 + 3*sqrt(5) Simplify (-2 + sqrt(22)/sqrt(2) - -5*(sqrt(33)/sqrt(3))**2) + 5. sqrt(11) + 58 Simplify (sqrt(68) + (sqrt(68) - -1*sqrt(68)*-3) + sqrt(68))/sqrt(4) - (sqrt(17)*-1*4 + -2)**2. -276 - 16*sqrt(17) Simplify -2*(-4 + sqrt(2736) - sqrt(2736))**2. -32 Simplify (sqrt(200)*2)**2 + sqrt(162)*1. 9*sqrt(2) + 800 Simplify ((sqrt(112)/sqrt(144) - sqrt(28))/sqrt(4))**2. 175/36 Simplify ((sqrt(448)*1)/sqrt(8))/sqrt(8). sqrt(7) Simplify ((-1*(sqrt(11) + sqrt(44)) + sqrt(11) - sqrt(11)) + (sqrt(176)*-1 + sqrt(176) - sqrt(176)) + sqrt(176))**2. 99 Simplify -1 + (sqrt(275) + 1)*5. 4 + 25*sqrt(11) Simplify (sqrt(50)/(-1*sqrt(10) - sqrt(10)) - (-1*sqrt(40) + sqrt(40))/sqrt(8))**2 - (sqrt(10)/sqrt(18) + sqrt(720)*-1). 5/4 + 35*sqrt(5)/3 Simplify (-4*sqrt(208)*-1)**2. 3328 Simplify 5*(3*1*sqrt(1088) + -5)**2. -1200*sqrt(17) + 49085 Simplify sqrt(104)/sqrt(8) + 0 + (-1*sqrt(39))/sqrt(3). 0 Simplify (sqrt(68)/(1*sqrt(576)) + -4*(sqrt(102)*2 - sqrt(102))/sqrt(6))**2. 37553/144 Simplify (6*(-2 + sqrt(684)*-1)*-4)**2. 13824*sqrt(19) + 396288 Simplify (2 + sqrt(2299))**2 + 4. 44*sqrt(19) + 2307 Simplify -1 + (sqrt(1700)*-2 - sqrt(17)) + -2 + 0 + sqrt(17). -20*sqrt(17) - 3 Simplify -5 + sqrt(600)/(-1*sqrt(12)) + 0 + sqrt(6050). -5 + 50*sqrt(2) Simplify (-3*sqrt(1980))/sqrt(5). -18*sqrt(11) Simplify (sqrt(65)/sqrt(5) + 1 + sqrt(351)/sqrt(3))**2. 8*sqrt(13) + 209 Simplify (-2*(sqrt(1008) - (sqrt(1008) + -2 + 4) - sqrt(1008)))**2. 192*sqrt(7) + 4048 Simplify (sqrt(1024) - sqrt(1024)*3)/(2*sqrt(72)). -8*sqrt(2)/3 Simplify sqrt(130)/(sqrt(90)*-1) - (-4 + sqrt(39)/sqrt(3) - (sqrt(325) + 0 + sqrt(325)))**2. -1069 - 217*sqrt(13)/3 Simplify (sqrt(684) - 3*(1 + sqrt(684) + sqrt(684))) + 5 + sqrt(684) + -1. -24*sqrt(19) + 1 Simplify -4 + 0 + sqrt(45) - (sqrt(135)/sqrt(3) + sqrt(45))*-6. -4 + 39*sqrt(5) Simplify -1 + (sqrt(76) - (3 + 2 + sqrt(76)))**2. 24 Simplify -5 + (sqrt(11) + (sqrt(11) + sqrt(44))*-2 - sqrt(11)). -6*sqrt(11) - 5 Simplify (sqrt(255)/sqrt(5)*-1)/sqrt(3). -sqrt(17) Simplify (-1*(-3 + sqrt(1584)*1*-6))**2. 432*sqrt(11) + 57033 Simplify (5 + sqrt(13) + sqrt(104)/sqrt(32))*-6. -9*sqrt(13) - 30 Simplify ((1 + sqrt(396))**2 + 0)*-1. -397 - 12*sqrt(11) Simplify (sqrt(1700) + sqrt(1700) + (-1*-1*sqrt(1700) - sqrt(1700)) - sqrt(1700))*-4. -40*sqrt(17) Simplify ((1 + sqrt(1100))*-6 + sqrt(1100) + sqrt(1100) + sqrt(1100) + 1 + sqrt(1100) + sqrt(1100) + -1)**2. 120*sqrt(11) + 1136 Simplify -5*(-4 + -4*-2*sqrt(5))**2. -1680 + 320*sqrt(5) Simplify sqrt(2299) - (sqrt(2299) - (5 + 1 + sqrt(2299))). 6 + 11*sqrt(19) Simplify (sqrt(42)/(sqrt(7)*1))/sqrt(3) - sqrt(20)/(sqrt(110)/(sqrt(22)/sqrt(2))). 0 Simplify 1 + (1 + sqrt(1584))**2 + 2. 24*sqrt(11) + 1588 Simplify 1 + 0 + (sqrt(17) - 5*sqrt(17))**2. 273 Simplify (sqrt(55)/(sqrt(5) + -1*sqrt(45)/sqrt(9) - sqrt(5)) + 0)**2. 11 Simplify (((sqrt(448) + -1*sqrt(448))*2 - (sqrt(448) + (-1 + sqrt(448))*1))*-4)**2. -512*sqrt(7) + 28688 Simplify -1*(sqrt(1900) - (2*sqrt(1900) + 4 - sqrt(1900))). 4 Simplify (2*-1*sqrt(35)/sqrt(5))**2. 28 Simplify (-3 + 2 + sqrt(208) + 3 + sqrt(208))**2. 32*sqrt(13) + 836 Simplify 6*3*-1*sqrt(720). -216*sqrt(5) Simplify (sqrt(187) - 2*(sqrt(187) + (-2*sqrt(187) - sqrt(187) - sqrt(187))))/(-4*sqrt(396)). -7*sqrt(17)/24 Simplify 6*(sqrt(176) + -4). -24 + 24*sqrt(11) Simplify ((sqrt(252) + -3 + sqrt(252) - sqrt(252))*4)**2. -576*sqrt(7) + 4176 Simplify (((sqrt(120) - sqrt(120)*-1) + sqrt(120))/sqrt(3))/(sqrt(88)/(2*sqrt(11) - sqrt(11))). 3*sqrt(5) Simplify (sqrt(170) + sqrt(170) + sqrt(170)*-1)/sqrt(10) - (3 + sqrt(17) + 0). -3 Simplify (-1*-2*sqrt(156))/(sqrt(432)*2). sqrt(13)/6 Simplify (-2*sqrt(7) + sqrt(7))*-1 - (sqrt(7) + -5 + sqrt(7) + -1). -sqrt(7) + 6 Simplify sqrt(4)/(sqrt(2) - (sqrt(2) + sqrt(648))). -sqrt(2)/18 Simplify (1*(sqrt(19)*-2 - sqrt(19)) - sqrt(19) - (-5 + 1 + sqrt(19)))**2. -40*sqrt(19) + 491 Simplify ((sqrt(35) - (2*sqrt(35)*2 + sqrt(35))) + sqrt(35))/(sqrt(7) - (sqrt(567)*-2 + sqrt(567))). -3*sqrt(5)/10 Simplify (sqrt(153)*2*-3)/(sqrt(45)/(sqrt(80) - sqrt(5))). -18*sqrt(17) Simplify -6*(sqrt(720) + (sqrt(720) - (sqrt(720) + 0))**2 + 5). -72*sqrt(5) - 30 Simplify (sqrt(637) + -3)*3. -9 + 21*sqrt(13) Simplify sqrt(1008) + (sqrt(1008) + sqrt(1008) + 0 + 2 - sqrt(1008))**2 + 5. 60*sqrt(7) + 1017 Simplify ((sqrt(200) - (sqrt(200) - sqrt(200)*1)) + sqrt(50))/((2*sqrt(70))/sqrt(7)). 3*sqrt(5)/2 Simplify (sqrt(204) + -1*sqrt(204) + sqrt(204) - sqrt(204))/sqrt(12) + 1. 1 Simplify -2 + 3 + (sqrt(171)/sqrt(144))**2. 35/16 Simplify (sqrt(1584) + (sqrt(1584) + 1)**2 + -2)*-6. -9498 - 216*sqrt(11) Simplify (-1*sqrt(684)*2)**2. 2736 Simplify 4*((sqrt(68) + -1 + -2)**2 - sqrt(68)) + 1. -56*sqrt(17) + 309 Simplify (-4*(5*(sqrt(7) - sqrt(35)/sqrt(5)) + sqrt(7)))**2. 112 Simplify (5 + (-1 + sqrt(288) - sqrt(288))**2)*-6. -36 Simplify sqrt(49)/(sqrt(7) - sqrt(1575)). -sqrt(7)/14 Simplify -5*(-1 + sqrt(468)) + (sqrt(468) - (sqrt(468) + -6*(-1 + sqrt(468))))**2. -462*sqrt(13) + 16889 Simplify (0 + (sqrt(19) - (-1 + sqrt(19))))**2 + (sqrt(19) + sqrt(38)/sqrt(2))*6. 1 + 12*sqrt(19) Simplify (((sqrt(704) + 1 - sqrt(704)) + sqrt(704))*-4)**2. 256*sqrt(11) + 11280 Simplify sqrt(34)/(-2*sqrt(2) - sqrt(2)) + 1. -sqrt(17)/3 + 1 Simplify 2 + (1*sqrt(52)/sqrt(4) - sqrt(13))*3. 2 Simplify (sqrt(30) + sqrt(30) + (sqrt(30) - (sqrt(90) + (sqrt(90) + 3*sqrt(90) + sqrt(90) - sqrt(90) - sqrt(90)) + sqrt(90))/sqrt(3)))/(-5*sqrt(60)/sqrt(6)). 2*sqrt(3)/5 Simplify (-4*(sqrt(1216)*1 + sqrt(1216) - sqrt(1216)))**2. 19456 Simplify (sqrt(240)/(sqrt(40)/sqrt(5)))/((3*sqrt(100))/sqrt(10)). sqrt(3)/3 Simplify (6*sqrt(108)/sqrt(4))**2. 972 Simplify (sqrt(5) + (sqrt(5) + -1)*3)**2 + sqrt(5) - (sqrt(45) + sqrt(45) + sqrt(45) + 0). -32*sqrt(5) + 89 Simplify sqrt(35)/(sqrt(28)/sqrt(4)*-2) + 2. -sqrt(5)/2 + 2 Simplify 3*(2 + sqrt(13))*-5. -15*sqrt(13) - 30 Simplify ((sqrt(1100) + -2)*6 - sqrt(1100) - (-1 + sqrt(1100) + -1))**2. -800*sqrt(11) + 17700 Simplify ((-4 + 3 + sqrt(2736))*5)**2. -600*sqrt(19) + 68425 Simplify 1 + (sqrt(68)/sqrt(4) - sqrt(17))**2 + 4. 5 Simplify (-3*2*sqrt(13)*-2)**2. 1872 Simplify -5*-5*(sqrt(13) + -1). -25 + 25*sqrt(13) Simplify 1 + (3 + sqrt(5)*1 - sqrt(5)) + 1. 5 Simplify (-5 + -2 + sqrt(475))**2. -70*sqrt(19) + 524 Simplify (3*(sqrt(128) - (-3*sqrt(128) + sqrt(128))))**2 + 2. 10370 Simplify ((sqrt(130)/(sqrt(15)/sqrt(3)))/sqrt(2))**2. 13 Simplify (sqrt(48)/sqrt(200))/(sqrt(98)*-2). -sqrt(3)/70 Simplify (sqrt(80) + 1 + sqrt(80) + 0)**2. 16*sqrt(5) + 321 Simplify 3*sqrt(28) - sqrt(63)/sqrt(81). 17*sqrt(7)/3 Simplify 1*sqrt(38)/(sqrt(128) - -1*sqrt(128)). sqrt(19)/16 Simplify -6*sqrt(1900)*2. -120*sqrt(19) Simplify sqrt(28)/(sqrt(20)/sqrt(5))*-1. -sqrt(7) Simplify sqrt(80) + 2 + (4 + sqrt(320))**2. 68*sqrt(5) + 338 Simplify (4*(1 + sqrt(1539))*-2)**2. 1152*sqrt(19) + 98560 Simplify (-4*(sqrt(7) + 1) + sqrt(224)/sqrt(8))**2. 16*sqrt(7) + 44 Simplify -2 + sqrt(72)*-1. -6*sqrt(2) - 2 Simplify ((sqrt(245) - (0 + sqrt(245)))*2 + sqrt(245) + sqrt(245) + sqrt(245) + 1 + sqrt(245) + 1 + -1)**2. 56*sqrt(5) + 3921 Simplify ((3*sqrt(343)*-3 + sqrt(343))*5)**2. 548800 Simplify ((sqrt(80)*2)/sqrt(4))/sqrt(4). 2*sqrt(5) Simplify sqrt(539)*-1*-4 + 4. 4 + 28*sqrt(11) Simplify 0 + sqrt(320)*-3 + (2*sqrt(320)*-1)**2. -24*sqrt(5) + 1280 Simplify 1 + sqrt(2) + -2 - (sqrt(98) + 0). -6*sqrt(2) - 1 Simplify 4*(-3 + sqrt(704) + sqrt(704) + -5)**2. -1024*sqrt(11) + 11520 Simplify (sqrt(18)/sqrt(3) + sqrt(6))/sqrt(2) + -4 + -3. -7 + 2*sqrt(3) Simplify 0 + -1 + sqrt(33)/sqrt(3) + sqrt(176) + 1 + 2. 2 + 5*sqrt(11) Simplify ((-5*sqrt(171)*2 - sqrt(171)) + sqrt(171) + sqrt(171) + 1 + 2)**2 + -4. -162*sqrt(19) + 13856 Simplify (-2*sqrt(228)*2)/(sqrt(144)/(sqrt(60)/sqrt(5))). -4*sqrt(19) Simplify (4 + sqrt(33)/sqrt(3) + (sqrt(121)/sqrt(99) - sqrt(11)))*-2. -8 - 2*sqrt(11)/3 Simplify -2*((-2*sqrt(605) + sqrt(5) + 0 + sqrt(125))**2 + 2). -2564 Simplify (sqrt(1815)*1)/(-1*sqrt(5)*1). -11*sqrt(3) Simplify (sqrt(637) + 4 + (sqrt(637) - (sqrt(637) - (sqrt(637) + 0 + sqrt(637) + sqrt(637)))))**2 + -4*sqrt(637)*-1. 252*sqrt(13) + 10208 Simplify sqrt(85)/(sqrt(15)/sqrt(3))*1. sqrt(17) Simplify (sqrt(130)/(1*sqrt(40)) + -2)*2. -4
{ "pile_set_name": "DM Mathematics" }
(-76)/(-80)*6. 110 Let n be (-14)/28*24964/(-14). Let z = -897 + n. Calculate the common denominator of ((-44)/(-40))/(16/(-10)) and z. 112 Let t(f) = 2*f + 94. Let h(j) = -j + 3. Let y(z) = 5*h(z) - t(z). Calculate the smallest common multiple of 55 and y(-17). 440 Let u = 31257 + -5845029/187. Calculate the common denominator of -39/34 and u. 374 Let c(u) = -4*u + 2. Let x be c(-4). Suppose -3*t - 5*y + 66 = 0, -2*t + 9 = -5*y - 10. What is the lowest common multiple of t and 1 - 4 - (9 - x)? 102 Suppose 0 = 2*f + 17 - 59. Suppose -12*g - 27 = -87. Suppose -4*n + 2*n - 197 = -g*i, -n + 77 = 2*i. Calculate the least common multiple of i and f. 273 Let h(y) = -2*y - 13. Let v be h(-2). Let o(u) = 32*u + 324. Calculate the smallest common multiple of 12 and o(v). 36 Let m be 14/8 + (-3)/4. Let l be 24/(-2892)*(2 - (m + 2)). Let d = 946/2169 + l. Calculate the common denominator of d and -31/24. 72 Suppose 67077 + 6423 = 21*b. Calculate the smallest common multiple of b and 14. 3500 What is the smallest common multiple of 2916 and (-21)/18*(-40)/14*(-12)/(-5)? 5832 Let k(q) = 23*q**2 - 28*q - 1. What is the least common multiple of 28 and k(3)? 1708 Let v(s) = -245*s - 8112. Calculate the least common multiple of v(-36) and 590. 3540 Let o be (-3868)/40 - (-3)/(-6). Let t = o + 2199/20. Let j = -5917/5 - -1178. Calculate the common denominator of j and t. 20 Let g = 806 + -666. Calculate the lowest common multiple of g and 175. 700 Let b = -31121/4020 - -694/67. What is the common denominator of b and 2/6 + 272/66? 660 Let a = -5/76118 + 91004561/837298. Let n = a + -785/7. Calculate the common denominator of n and 47/15. 165 Let t(y) = y**2 - 11*y - 1. Let w be t(11). Find the common denominator of -115/6 and 30/360*(w + 149). 6 Find the common denominator of 10745/5250 - 2/12 and -56/1675. 1675 Let g = 20260 - 20257. What is the lowest common multiple of 2182 and g? 6546 Let j = -2231317/95524564 - -73/23953. What is the common denominator of j and 81/4? 3988 Let a be (-671615)/(-168) - 5/(-10). Let b = a - 3999. What is the common denominator of -55/78 and b? 312 Let g be 4/(-4) - -61 - 1. Let z = g - 107. Let r = z + 54. Calculate the smallest common multiple of r and 1. 6 Suppose -300*i - 6 - 34 = -302*i. What is the least common multiple of i and 64? 320 Suppose 9443 = 11*a - 15209 - 4443. Calculate the least common multiple of 4 and a. 10580 Suppose 12*r - 156 = 16*r. Let j = 139 - 92. Let n = j + r. What is the lowest common multiple of 14 and n? 56 Suppose 0 = -2*d - 0*d - 4*w - 460, -3*d = -w + 690. Let m = d + 151. Let h = -61 - m. What is the least common multiple of 6 and h? 18 Let l(x) be the third derivative of 17*x**5/30 - 5*x**3/3 + 12*x**2. Calculate the lowest common multiple of l(-2) and 14. 126 Suppose -d - 10 - 4 = 2*y, 0 = -2*d + 3*y - 35. Calculate the common denominator of (-134)/d + (5 - 11) and -45/32. 32 Let r be 3/3 + -148 - 145/(-29). Let n = -28 - r. Calculate the smallest common multiple of n and 21. 798 Let i(a) = 7*a + 66. Let w be i(-9). Suppose w*l - 27 - 33 = 0. What is the smallest common multiple of 20 and l? 20 Let o = 9535895/202037604 + -2/202849. Find the common denominator of o and 73/24. 1992 Find the common denominator of -10 + 2 + 0 - (-2902)/350 and -167/1050. 1050 What is the common denominator of 11/90 and (-1)/(-30)*9797/291? 90 Let a = 152821/6 + -25487. What is the common denominator of a and 131/2130? 2130 Let c be 60/(4 - -1)*3/(-6). Find the common denominator of 8680/1008 + 16/c and 62/27. 54 Let h be 1*5/(-1) + 193. Let w = h + -168. What is the lowest common multiple of w and 106? 1060 Let f(g) = -g**3 + 14*g**2 + 10*g - 3. Suppose -2*p - 3*r + 7 = 0, -3*p + 3*r + 26 = -2*p. Calculate the least common multiple of f(p) and 8. 1880 Suppose 7*j + 35 = 2*j + 5*r, 0 = 5*j + 5*r + 15. Find the common denominator of j/2 + 1314/144 and -1 + (-73)/22 - -1. 88 Let m be (81/(-36))/(6/16). Let p = -24 - -34. Calculate the smallest common multiple of p and ((-4)/(-1))/(m/(-9)). 30 Suppose -4 = 4*r - 5*z, z = -r + 3 + 5. Suppose -6*c - r*c = -21290. Let u = c - 16949/8. What is the common denominator of -43/3 and u? 24 Let r = 33735001/696 + -48470. Find the common denominator of -46/9 and r. 2088 Let p = -22516 - -157622/7. What is the common denominator of p and -73/540? 3780 Suppose 2*x - 39*j - 178 = -40*j, 342 = 4*x - 5*j. Let g = 159 - 155. Calculate the smallest common multiple of x and g. 88 Let z be (111/(-2))/((-33)/22). Suppose -2*v - 4*c + 18 = -0*v, z = 5*v + 2*c. Let k(l) = 3*l**2 + l + 1. Calculate the least common multiple of v and k(-3). 175 Let r(o) = o**3 - 13*o**2 - 22*o + 6. Let k be r(15). Suppose 0 = 108*h - 105*h - k. Calculate the smallest common multiple of h and 54. 378 Suppose -22*d - 357 = -489. Calculate the lowest common multiple of d and 309. 618 Let y(k) = 45*k - 322. Let v be y(8). Suppose 3*c - i = v, -5*c + 2*c - 5*i = -8. Calculate the lowest common multiple of c and 22. 22 Suppose -53509 = -229*y - 105*y + 423443. Calculate the lowest common multiple of y and 672. 11424 Let a = -1021 - -215. Let z = -2/16183 + -372041/1359372. Calculate the common denominator of (-20)/25 + 1/(180/a) and z. 252 Suppose 4*d - 98 = 2*n + 3*n, 92 = -5*n + d. Let o = n - -18. Suppose 5*a = 2*c - 15 - 31, 5*c - 2*a - 94 = o. What is the lowest common multiple of 21 and c? 126 Suppose -19*f + 26 = -6*f. Suppose -n + 13 = 4*a, 5*n - f*n = 3*a - 6. Calculate the smallest common multiple of 18 and n. 18 Suppose 0 = -3*u + 5*h - 198, 2*u + 0*h = 4*h - 130. Let a = 74 + u. Calculate the common denominator of 1*34/12*a and -47/24. 24 Let g be (13045328/(-84))/((360/(-21))/4). Let q = -36235 + g. What is the common denominator of q and 2/3? 45 Suppose -5*g + 4*z = 60, 4*z - 6*z + 10 = 0. What is the lowest common multiple of 4 and 65/5 + -7 - g? 28 Let z(u) = -248*u**2 + 34*u + 86. Let c be z(-12). Let s = -2306227/64 - c. Find the common denominator of s and 149/96. 192 Let f(o) be the third derivative of 7*o**3 - 36*o**2 + 0*o + 0 - 1/6*o**4. What is the least common multiple of 33 and f(8)? 330 Let c(n) = 28*n + 1026. Calculate the smallest common multiple of c(-24) and 59. 354 Let r = 697031/983976 - 2/40999. Calculate the common denominator of (-28)/(-12)*26/(-16) and r. 24 Let n be (1 - 0) + 0 + 1. Suppose 5*g - 4*c = -0 + 32, n*c + 14 = 2*g. Let a = -251 - -264. Calculate the least common multiple of g and a. 52 Let d = 515981 + -356027003/690. Let a = d - -3/23. Calculate the common denominator of a and 0/2 + 140/18. 90 Let b = -42 + 44. Suppose -19 = -y - 2*t, -4*y + 2*y + b*t + 26 = 0. What is the least common multiple of 24 and y? 120 Suppose 0*o = -5*o - 245. Let h = o - -82. What is the least common multiple of 0 + -3 + 2 - -16 and h? 165 Let r(w) = 2*w + w**2 + 0*w + 5 - 1 - 3*w. Let h = 151 - 74. What is the smallest common multiple of r(0) and h? 308 Suppose -3 + 43 = j. Let u(m) = -2*m - 33 + j + 3*m. Calculate the smallest common multiple of u(-5) and 22. 22 Suppose 5*t + 5*i = -155 + 15, -4*t = -4*i + 80. Let k = 32 + t. Calculate the lowest common multiple of 148 and k. 296 Let p = 2/646381622297 + -6499799676406259297116/25208883269583. Let q = -257855938 - p. Let a = -18268 - q. Calculate the common denominator of a and -53/3. 39 Suppose 2*m = m - 64. Calculate the common denominator of m/216 + -3*1/(-3) and -23/24. 216 Suppose z - 82 = -89. What is the common denominator of (-28)/z + -9 - (-55)/26 and 63/26? 26 Let z = -6977/936432 + 6/929. Calculate the common denominator of z and 151/1260. 5040 Let l(b) = 6*b - 335. Let u be l(48). Find the common denominator of ((-56)/(-140) - (-49)/(-110))*u and -79/32. 352 Let v = 39 + -37. Suppose -60 = v*l - 6*l. What is the common denominator of 3/15 - (-122)/l and -53/12? 12 Let o = 62 - 34. Let n = -169963/57432 + 5/4786. Find the common denominator of n and (63/(-48))/((-35)/o). 120 Let k = 21 + -20. Let o(s) = s**3 + 48*s**2 - 447*s + 88. Calculate the smallest common multiple of o(-56) and -1 + 2 + (8 - k). 32 Let y(h) = -h**3 - 4*h**2 + 6. Let m = -56 - 19. Let f be m/12 + -2 + 18/8. Calculate the lowest common multiple of y(f) and 9. 234 Let x = 54/25 + -16441/7600. Find the common denominator of x and -73/88. 3344 Let
{ "pile_set_name": "DM Mathematics" }
3)*(0 - 4 + 3). -22*g Expand (-x - 3*x + x + (-4 + 2*x + 4)*(-2 + 0 + 1) - x - 2*x + 4*x)*(5*x**3 - 3*x**3 - 4*x**3 + (-2*x + 5*x - 2*x)*(2 + x**2 - 2) - 3*x**2 + 3*x**2 - 2*x**3). 12*x**4 Expand (5 - 8 - 11)*(q**3 + 4*q**3 + 2*q**2 - 4*q**3). -14*q**3 - 28*q**2 Expand (p - 6*p + 2*p)*((1 + 1 + 0)*(1 + 0 + 1) - 13 + 22 + 18). -93*p Expand (1 + 1 - 1)*(0 - 1 - 1)*(-2*y + 2*y - 4*y + (-4 - 1 + 1)*(3*y - 4*y - y)). -8*y Expand (0 + 2 - 4)*(k**3 + 2*k**3 - 5*k**3) + (6*k - 5*k + 0*k - k**2)*(-k - 2*k + 5*k). 2*k**3 + 2*k**2 Expand 3 - 376*j + 376*j - 2*j**4 + (0*j - 4*j + 2*j)*(3*j**2 + j**3 - 3*j**2) + 0*j**4 + 0*j**4 - 2*j**4 - j**4 + 0*j + 0*j. -7*j**4 + 3 Expand (-3 + 1 + 3 + 0 + 3 - 4 + (1 + 2 - 5)*(-1 - 5 + 4))*(-o + o - 2*o**5). -8*o**5 Expand (2*w**2 + 0*w**2 - w**2)*(w**2 + w**2 + 0*w**2 + (3 - 3 - w)*(-2*w - 1 + 1) + 0*w**2 - 5*w**2 + 2*w**2). w**4 Expand (0*l**3 - l**3 - 3*l**3)*(2*l + 2*l - 3*l) + l**4 - 2*l**4 + 2*l**4 + (-4*l**2 - 2*l**3 + 4*l**2)*(3*l + 1 - 1). -9*l**4 Expand -2 + 2*f**3 + 2 + (-f**2 - f**2 + 0*f**2)*(-3*f + 0*f + 2*f) + (2*f**2 - 2*f**2 + 2*f**2)*(-3*f + 2*f - 3*f). -4*f**3 Expand (1 - 2 + 2)*(-1 - 2*r + 1) - 16*r + 3*r - 2*r. -17*r Expand (4*r - 442 + 442 - r**4)*(0 - 3 + 2). r**4 - 4*r Expand (2*k**5 + k**5 - 5*k**5)*(-2 - 2 + 3)*(1 + 7 - 1). 14*k**5 Expand -2*r + 3*r + r + (-2 - 3 + 4)*(-4*r + 0*r + 2*r) + 2 + 2*r - 2 + 3*r - r + 0*r + 3*r - 3*r + 3*r. 11*r Expand (4*c - 5*c + 3*c)*(-2*c**2 + 9*c**2 + 4*c**2) + (1 + 1 - 1)*(-2*c**3 + 2*c**3 + 2*c**3). 24*c**3 Expand (0*l + 4*l - l)*(0 + 0 - 4*l). -12*l**2 Expand (-3*o + 0*o + 2*o)*(3*o**2 - 5*o**2 + 0*o**2)*(-4 + 0 - 26). -60*o**3 Expand (-4 - 2*m + 4)*(0*m + m + 0*m) + 1 - 5 + 9 - m**2. -3*m**2 + 5 Expand (3*i - 4*i + 2*i + i + 0*i + i + (0*i + 0*i + 2*i)*(4 - 3 - 3) - 2*i + 3*i + 0*i + i + i - 4*i + 4 + i - 4)*(5 - 4 + 3). -4*i Expand (-4*h + 9*h - 7*h)*(-h + h - h**2 + (-h - h + 0*h)*(5*h - h - 5*h) - 2*h + 2*h - 2*h**2)*(-2 - 4 + 7). 2*h**3 Expand (2 - 2*d - 2 + (0 + 3 - 1)*(1 - 1 + 2*d))*(2*d + 0*d + 0*d)*(6 + 9*d - 6). 36*d**3 Expand (-2 + 6 - 1)*(6*u**4 + u**4 - u**4). 18*u**4 Expand (-3*c + c + 0*c)*(-2*c**4 - 2*c**4 + 6*c**4 + 5*c**4 - 3*c**4 - 3*c**4 + (3 - c - 3)*(c**3 - 2*c**3 + 3*c**3) + 5*c**2 - 5*c**2 - c**4). 4*c**5 Expand (3*s + s - 3*s)*(-4*s + 2*s - 4 + s**2 + 3*s). s**3 + s**2 - 4*s Expand (5 + 0 + 2)*(2*v**5 - v**2 + 0*v**3 + 0*v**3). 14*v**5 - 7*v**2 Expand u - 2*u - u + (1 + 4 - 6)*(0*u - 2*u + u) - 2*u + 4*u + 0*u. u Expand (5*w - w - 2*w)*(6 - 2 - 3)*(-3*w**2 - 6*w**3 + 3*w**2). -12*w**4 Expand (f + 2 - 2)*(-6*f + 2*f + 2*f) + 0*f**2 + 2*f**2 - 4*f**2 + (-2*f + 6*f - 2*f)*(5*f - f - 2*f) - 3 + 3 - f**2. -f**2 Expand 9*q**5 + 0*q**5 + 21*q**5 - 1 + 1 - q**5 + (-6*q**4 + 0*q**4 + 4*q**4)*(-q - 2*q + q). 33*q**5 Expand 3*j**3 - j**3 - 3*j**3 + (-3*j + 1 - 1)*(-3*j + 3*j + 2*j**2) + (j - 3*j - 1 + j)*(-5*j**2 - 2*j**2 + 5*j**2). -5*j**3 + 2*j**2 Expand (2 + 2*l - 2)*(2 + 1 + 2) + (7*l - l - 2*l)*(2 + 1 - 1). 18*l Expand 107*g**4 - 107*g**4 - 22*g**5 + 0*g**5 - 3*g**5 + 2*g**5 + (0*g + g**2 + 0*g)*(0*g**3 + g**3 - 3*g**3). -25*g**5 Expand (3 - 3 + 2*i)*(4 + 0 - 6) + 15*i + 9*i - 9*i. 11*i Expand (0*l - 3*l + l)*(0*l + 2*l + 2*l). -8*l**2 Expand (z**2 + 3 - 3)*(2*z + z + 0*z)*(-5*z + 3*z - z). -9*z**4 Expand (-22*m - 3*m + 0*m)*(0*m**2 - 3*m**2 + 2*m**2) - 1 + 1 - m**3. 24*m**3 Expand (0 - 3 + 5)*(-1 + 0 + 0)*(-w + w + 2*w**5). -4*w**5 Expand (u + 0*u + 0*u)*(-11 + 53*u + 53*u + 11). 106*u**2 Expand (n - 1 + 1)*((-3 + 0 + 5)*(-1 + 1 + 2) + 1 - 3 + 19 + 1 + 1 - 1). 22*n Expand -4*u**3 - 4*u**2 - u**3 + 6*u**2 + 8*u**3 - 16*u**2 + 16*u**2 + (3 - 2*u**2 - 3)*(-2*u + 0*u + 0*u). 7*u**3 + 2*u**2 Expand -13*q**5 + 17*q**5 + 19*q**5 + (-2*q**4 + 4*q**4 + 3*q**4)*(-2*q + q + 3*q) + 5*q**2 - 5*q**2 - q**5. 32*q**5 Expand (-11*g - g**3 + 11*g)*(g**2 + g - 5*g + 3*g). -g**5 + g**4 Expand 3*s**4 - 2*s**4 + s**4 + (-4*s**3 + 6*s**3 + s**3)*(0*s + 2*s - 3*s). -s**4 Expand (3*u**4 - 3*u**4 + u**4 + (0*u**2 - 2*u**2 + 0*u**2)*(-2*u**2 - 2*u**2 + 2*u**2))*(4 + 8*u - 10*u + 0). -10*u**5 + 20*u**4 Expand (-2*n - n + n)*(n + 0*n - 2 - 2*n). 2*n**2 + 4*n Expand (1 - 7*w**2 - 1)*(3*w - 3*w - w) + (-7*w**2 + w**2 + 4*w**2)*(2*w - w + w) + 2*w**3 + 4*w**3 - 5*w**3. 4*w**3 Expand (4*s - 2*s - s)*(-3 + 3 - s) + 3*s**2 + 2*s**2 - 6*s**2 + (4*s + 2 - 2)*(-8*s + 2*s - 2*s). -34*s**2 Expand (-4 - 2*m**3 + 4)*(-287*m - 22*m + 53*m) + (m**3 + 4*m**3 - 3*m**3)*(m - 3*m + 0*m). 508*m**4 Expand (-2*n + 4*n - n)*(2*n**3 + 4 - 4) - 4*n**4 - n**4 + 7*n**4 - n**4 + 5*n**4 - 2*n**4 + 4*n**4 - 3*n**4 + n**4 + 3*n**4 + n**4 - 7*n**4. 5*n**4 Expand (j**3 + j - j)*(-2 - 1 + 0)*(-1 - 2 + 2). 3*j**3 Expand 0*m**2 - m**2 + 0*m**2 - 2*m**2 + 3*m**2 - 9*m**2 + (3*m - m - 4*m)*(-m - 2 + 2). -7*m**2 Expand (-2 - 3*y + 2)*(-3*y + 0*y + 1 + 5*y + (-1 - 3 + 3)*(-3*y + 3*y + 10*y)). 24*y**2 - 3*y Expand (0 - 2 - 1)*(2*w - 5*w + w)*(-7*w + 8*w**2 + 7*w). 48*w**3 Expand (3 - 4 + 3)*(-5*g + 5*g - 2*g + (0*g + 4*g - 2*g)*(-2 - 4 + 4) + g - 3 + 3 + 0 + 0 - g - g + g - g - 3*g - g + 3*g)*(-11*g + 11*g + 3*g**3). -48*g**4 Expand -5*w**3 + w**2 + 8*w**3 - 2*w**2 + (3*w**2 - 5*w**2 + 4*w**2)*(1 - 1 - 2*w). -w**3 - w**2 Expand -1 - y**2 + 1 + (-4 + 3 + 3)*(y**2 + 3*y**2 - 2*y**2) + 0*y**2 + y**2 + 2*y**2 + (-y + 0*y + 3*y)*(-4 + 4 - 2*y) + y**2 + 2*y**2 + 0*y**2 + y - y**2 - y. 4*y**2 Expand (-t - 1 + 1)*(-t + 2*t - 3*t)*(4*t + 9 - 9). 8*t**3 Expand (-1 + 3 + 1)*(-3 + 3 + 3*o) + (-3 - 3 + 5)*(-5*o - 11 + 11). 14*o Expand (-p**2 + p**2 - p**2)*(-2*p + 2*p + 3*p**2) + (0*p**2 - p**3 + 0*p**2)*(1 + p - 1) + 3*p**4 - 2*p**4 + p**4. -2*p**4 Expand (0 + 0 - 2 + (1 - 5 - 5)*(-4 + 3 + 0))*(-2*n**3 + 4*n**2 - 4*n**2). -14*n**3 Expand 0*k**2 - 3*k**2 + 4*k**2 + (2*k + 1 - 1)*(-4*k + 2*k + 3*k) - 4*k**2 + 5*k**2 + 0*k**2. 4*k**2 Expand -2*s**2 + s**2 - s**2 + (2*s - 6*s + 2*s)*(-3*s - 5*s + 6*s) + 2*s + 2*s**2 - 2*s + (-2*s + 4*s - 5*s)*(5 + 2*s - 5). -2*s**2 Expand 2*i**4 + 82 + 12*i**3 - 82 + (-i + i - i**3)*(-1 + 1 + i). i**4 + 12*i**3 Expand (s - 4*s + s)*(2 + 6 - 2). -12*s Expand (s - 2*s + 0*s)*(7*s**3 + 2*s**3 - s**3)*(3*s - 4*s - s). 16*s**5 Expand 8*f**2 - 8*f**2 + 6*f**5 + (f**4 - 3*f + 3*f)*(5*f - 3*f - f) - 3*f**5 + 2 - 2. 4*f**5 Expand (2*f + f + 0*f)*(-3 + 6 + 3)*(-2*f + 2*f - f). -18*f**2 Expand (-2*c**2 + 5*c**2 - c**2)*(13*c**2 + 12*c**2 - 29*c**2 - 2*c**3). -4*c**5 - 8*c**4 Expand (4*f**2 - 2*f + 4*f**2 - 7*f**2)*(-4*f**2 + 3*f**2 - 36 + 39). -f**4 + 2*f**3 + 3*f**2 - 6*f Expand (0 + 4 - 3 + (-2 - 2 + 2)*(0 + 0 - 1) + 1 + 0 - 2 + 5 + 1 - 3)*(10 - 10 - 2*j). -10*j Expand (3*r**3 - 4 + 4)*(1 + 3 - 6)*(-5*r + 5*r + 8*r). -48*r**4 Expand (7*k**3 - k**3 + 2*k**4 + 8*k**3)*(2*k + k - 4*k). -2*k**5 - 14*k**4 Expand (0*x - x + 0*x)*(5*x - 4*x - 3*x) - 6*x**2 + 24*x**2 + 36*x**2. 56*x**2 Expand 3*d - d**3 + 4*d**3 - d**3 + (-3 - 1 + 3)*(-2 + 2 - d**3). 3*d**3 + 3*d Expand (-2 - 5 + 5)*(-2*z + 0*z + z) + 0*z - 2*z + z + (-7*z - 26*z + 8*z)*(-2 + 6 - 2). -49*z Expand 5 - 50*b**5 + 0 - 5 + (-4*b + 2*b + 4*b)*(b**4 + b**3 - b**3). -48*b**5 Expand -3*m + 4*m + 2*m + (1 - 1 - 2*m)*(-6 + 2 + 2) + 2*m + 3*m - 3*m + 2 - 3 - m + 3. 8*m + 2 Expand (4*q - 2*q - q)*(2 + 0 + 2)*((0 - 4 + 5)*(-3*q + q + 0*q) - 2*q - 2 + 2 + 3 - 3 + 2*q). -8*q**2 Expand (p**2 + p**2 - 5*p**2)*(-2 + 5 - 1)*(-3 + 0 - 1 + (-3 + 4 + 0)*(-1 + 1 - 1)). 30*p**2 Expand (2*c**3 + 2*c**3 - 2*c**3)*(2*c + c**2 - 7*c - 3*c**2). -4*c**5 - 10*c**4 Expand -2*p + 2*p - p**4 + (2*p**4 + 3*p**3 - 3*p**3)*(2 - 5 + 2) + 2*p**4 + 0*p**4 + 2*p**4 + 0*p**4 + 3*p**4 - p**4 + 0*p**4 + 2*p**4 - 4*p**4. p**4 Expand 2*a**3 + 3*a**3 - 4*a**3 + (-4*a**2 - a**2 + 3*a**2)*(-3*a - 2*a + 6*a) + 2*a**3 + a**3 - 5*a**3 - 5*a**3 + 0*a**3 + 3*a**3. -5*a**3 Expand (4*d**3 - 2*d**3 - 5*d**3)*(-2 - 2*d**2 + 3*d**2 + 0*d - 2*d). -3*d**5 + 6*d**4 + 6*d**3 Expand (q**2 + 2*q**4 - q**2)*(-5*q + 0*q + 3*q) + 4 - 3*q**5 - 4 - 3*q**5 + 4*q**5 - 3*q**5 + q**2 - 5*q**5 - 8*q**2 + 8*q**2 - 2 + 2 + 2*q**5. -12*q**5 + q**2 Expand 2*s**2 + 2*s**2 - 5*s**2 + (2 - s - 2)*(0 + 6 - 7)*(5*s - 3*s + 0*s). s**2 Expand 11*x + x**5 + 7*x**3 + 6*x - 18*x - 2*x**5 + 2*x**5 - x**5 + (-2*x - 3*x + 3*x)*(0*x**4 - 4*x**4 + 3*x**4). 2*x**5 + 7*x**3 - x Expand (-2*m**3 + 3 - 3)*(3*m + 2*m - 1 + m). -12*m**
{ "pile_set_name": "DM Mathematics" }
es next: -1623, -1618, -1611, -1602, -1591, -1578, -1563? -1546 What is next in 237, 482, 727? 972 What is the next term in 23758, 23757, 23756? 23755 What comes next: 12, 180, 460, 852, 1356? 1972 What comes next: 1804, 3612, 5422, 7234, 9048, 10864, 12682? 14502 What comes next: -913, -915, -917? -919 What is the next term in 139, 251, 349, 427, 479? 499 What is the next term in 9, 11, 11, 9, 5, -1? -9 What is the next term in 64, 116, 210, 352, 548? 804 What is the next term in -55, -134, -265, -448, -683, -970, -1309? -1700 What is next in -19, -42, -69, -100, -135? -174 What is next in 22, 14, -8, -50, -118? -218 What comes next: -10, -26, -44, -64, -86, -110, -136? -164 What comes next: -81, -162, -243, -324? -405 What is the next term in -162, -143, -112, -69, -14? 53 What is the next term in 48, 117, 186, 255, 324, 393? 462 What is next in 9429, 9427, 9425? 9423 What is the next term in -124, -121, -124, -139, -172? -229 What comes next: -363, -365, -367? -369 What comes next: -316, -639, -962, -1285? -1608 What is the next term in -32, -169, -522, -1199, -2308, -3957? -6254 What is the next term in -2, 2, 8, 16, 26, 38, 52? 68 What is the next term in -18, -44, -70? -96 What is the next term in -4248, -8496, -12744? -16992 What is the next term in -14, -6, 16, 58, 126? 226 What comes next: 20, 7, -10, -31? -56 What comes next: 346, 698, 1048, 1396, 1742, 2086, 2428? 2768 What is the next term in -65, -246, -545, -962, -1497? -2150 What is next in -15, -14, -11, -6? 1 What comes next: 27, 38, 49? 60 What is the next term in 66, 142, 228, 330, 454, 606, 792, 1018? 1290 What comes next: 67, 140, 213, 286, 359? 432 What is the next term in 19, 85, 195, 349, 547, 789, 1075? 1405 What is next in -1, -4, -27, -82, -181? -336 What is next in 53, 196, 433, 764, 1189, 1708? 2321 What is next in -472, -944, -1418, -1894, -2372, -2852, -3334? -3818 What is next in -259, -260, -271, -298, -347, -424, -535? -686 What is the next term in 17, 41, 63, 83? 101 What is the next term in -4654, -4648, -4632, -4600, -4546, -4464? -4348 What is the next term in 84, 179, 300, 459, 668, 939, 1284? 1715 What is next in 67, 84, 135, 238, 411, 672, 1039? 1530 What comes next: -9, -19, -29, -39, -49? -59 What is next in -3, -11, -31, -69, -131, -223? -351 What is the next term in -56, -67, -94, -143, -220, -331, -482? -679 What is next in -713, -1426, -2137, -2846, -3553? -4258 What is next in 83, 89, 99, 113, 131, 153? 179 What comes next: -31, -83, -153, -241? -347 What comes next: -54, -111, -168? -225 What is the next term in 535, 538, 541, 544? 547 What is the next term in -7, 15, 73, 185, 369? 643 What is the next term in -96, -426, -978, -1752, -2748, -3966, -5406? -7068 What is the next term in -124, -241, -354, -463, -568, -669, -766? -859 What comes next: -391, -794, -1213, -1654, -2123, -2626? -3169 What comes next: -110, -99, -82, -59, -30, 5? 46 What is the next term in -11, -3, 5, 13, 21? 29 What is the next term in -30, -149, -270, -393? -518 What is the next term in -554, -552, -550? -548 What comes next: -2952, -5906, -8860? -11814 What is next in 17, 34, 57, 86, 121? 162 What comes next: -68, -84, -98, -110, -120? -128 What is next in -3, -4, -7, -12, -19, -28, -39? -52 What is the next term in -40, -49, -54, -49, -28, 15, 86, 191? 336 What is next in -45, -171, -375, -651, -993, -1395, -1851? -2355 What comes next: -14, -34, -60, -86, -106? -114 What comes next: -33, -22, -11, 0, 11? 22 What comes next: 24760, 49520, 74280, 99040? 123800 What comes next: 94, 192, 286, 376, 462, 544? 622 What is next in 1, -8, -25, -50? -83 What is next in -7, -29, -29, 5, 85, 223, 431, 721? 1105 What comes next: 127, 123, 117, 109, 99, 87? 73 What comes next: -90, -177, -264? -351 What is next in 1, -2, -5, -8, -11, -14? -17 What is next in 6, -1, -16, -39? -70 What comes next: -1438, -1428, -1412, -1390, -1362? -1328 What comes next: 8, -1, -16, -37? -64 What is the next term in 249, 493, 739, 987, 1237, 1489, 1743? 1999 What is the next term in -42, -85, -140, -213, -310? -437 What is the next term in -103, -205, -297, -373, -427, -453, -445? -397 What comes next: 63, 252, 565, 1002, 1563, 2248, 3057? 3990 What comes next: -1206, -2411, -3618, -4827, -6038? -7251 What comes next: -2, -9, -32, -77, -150, -257, -404? -597 What is next in 35, 128, 341, 734, 1367? 2300 What comes next: 9, 17, 27, 39, 53? 69 What is the next term in -411, -406, -399, -390, -379, -366, -351? -334 What is the next term in -71, -111, -151? -191 What comes next: 30, 63, 96, 129, 162, 195? 228 What is the next term in -198, -181, -144, -81, 14? 147 What comes next: 847, 1693, 2539, 3385? 4231 What comes next: 21, 27, 33, 39, 45? 51 What comes next: -4, -60, -118, -178, -240, -304, -370? -438 What is the next term in 39, 48, 61, 78, 99? 124 What is next in 1162, 1161, 1160, 1159, 1158, 1157? 1156 What is next in 5, 14, 23, 32, 41? 50 What comes next: 236, 240, 244? 248 What comes next: 530, 541, 566, 611, 682, 785, 926? 1111 What is next in -15, -38, -69, -114, -179, -270? -393 What comes next: -39, -75, -133, -213? -315 What is next in 19, 17, -1, -35? -85 What is the next term in 15, 14, 27, 60, 119, 210, 339? 512 What comes next: 130, 249, 366, 481, 594? 705 What is next in -6326, -6328, -6330, -6332, -6334, -6336? -6338 What comes next: 100, 101, 102, 103, 104? 105 What comes next: 16, 4, -18, -50? -92 What is the next term in -64, -155, -312, -541, -848, -1239, -1720, -2297? -2976 What is the next term in -964, -1925, -2886, -3847, -4808, -5769? -6730 What is next in -55, -117, -197, -301, -435, -605, -817? -1077 What comes next: -142, -529, -1176, -2089, -3274, -4737? -6484 What is the next term in -51, -93, -125, -141, -135? -101 What is the next term in 92, 152, 212, 272? 332 What is the next term in 102, 206, 312, 420, 530? 642 What is next in 112, 159, 206? 253 What is next in 51, 202, 461, 834, 1327? 1946 What is next in 7, 4, -7, -32, -77, -148? -251 What comes next: -6, -15, -28, -45, -66, -91, -120? -153 What comes next: 1140, 2280, 3420, 4560, 5700? 6840 What comes next: -98, -101, -98, -89? -74 What comes next: -163, -223, -283, -343, -403? -463 What is the next term in -49, -41, -33? -25 What is next in 24, 47, 84, 141, 224, 339, 492? 689 What is the next term in -47, -48, -49? -50 What comes next: -17, -18, -7, 16, 51, 98? 157 What is next in -119, -240, -361, -482? -603 What is next in -114, -452, -1016, -1806, -2822, -4064? -5532 What comes next: 21, 41, 61, 81? 101 What comes next: -14, -23, -56, -125, -242, -419, -668? -1001 What is the next term in -61, -134, -219, -322, -449, -606? -799 What is the next term in 251, 408, 565, 722, 879? 1036 What comes next: -3077, -3076, -3075, -3074? -3073 What is the next term in -41, -177, -409, -737, -1161, -1681, -2297? -3009 What is next in 29, 18, -3, -34, -75? -126 What is the next term in -92, -186, -280, -374, -468, -562? -656 What is the next term in -8, -1, 24, 79, 176, 327, 544, 839? 1224 What comes next: -18, -246, -860, -2052, -4014? -6938 What comes next: 89, 105, 133, 179, 249? 349 What comes next: 141, 267, 405, 561, 741, 951, 1197? 1485 What is next in -74, -150, -230, -314, -402? -494 What is next in -2729, -2731, -2733, -2735? -2737 What is next in -371, -374, -381, -392, -407, -426, -449? -476 What is the next term in 208, 211, 214, 217, 220, 223? 226 What comes next: 455, 908, 1361, 1814? 2267 What is the next term in 607, 592, 567, 532, 487, 432? 367 What is the next term in -6009, -12018, -18025, -24030, -30033, -36034? -42033 What is the next term in 544, 530, 496, 436, 344, 214? 40 What comes next: 112, 158, 202, 244, 284, 322? 358 What comes next: -664, -692, -734, -796, -884, -1004? -1162 What is next in -9, 13, 57, 129, 235, 381? 573 What comes next: -8254, -8237, -8202, -8143, -8054, -7929? -7762 What is next in -341, -688, -1035, -1382, -1729? -2076 What comes next: 43, 81, 117, 151, 183, 213? 241 What is next in 45, 75, 105, 135? 165 What is next in -15, -35, -55, -75? -95 What is the next term in 38, 76, 130, 206, 310? 448 What is the next term in 216, 204, 184, 156? 120 What is the next term in -2120, -4241, -6364, -8489, -10616, -12745, -14876? -17009 What is the next term in -15, 9, 71, 1
{ "pile_set_name": "DM Mathematics" }
qowqqqowov. What is prob of sequence wo? 5/153 Two letters picked without replacement from {p: 3, u: 2, i: 4, n: 9}. What is prob of sequence ni? 2/17 Calculate prob of sequence vlx when three letters picked without replacement from {x: 1, a: 2, v: 1, l: 1, t: 1, w: 2}. 1/336 Three letters picked without replacement from ggg. What is prob of sequence ggg? 1 Calculate prob of sequence iild when four letters picked without replacement from {d: 1, i: 7, l: 5}. 7/572 Two letters picked without replacement from {p: 1, y: 1, w: 1, m: 1, v: 1, f: 2}. What is prob of sequence vy? 1/42 What is prob of sequence zaaz when four letters picked without replacement from zaaazzazza? 5/63 Calculate prob of sequence uv when two letters picked without replacement from txxiiuuttftv. 1/66 What is prob of sequence nqqq when four letters picked without replacement from qqnknqnnk? 1/126 Calculate prob of sequence jjj when three letters picked without replacement from {j: 5}. 1 Four letters picked without replacement from mfjyyjnjnfjfjj. Give prob of sequence ymyn. 1/6006 What is prob of sequence uii when three letters picked without replacement from {o: 4, n: 7, u: 5, i: 3}? 5/969 Calculate prob of sequence zz when two letters picked without replacement from {z: 7, g: 1, q: 1}. 7/12 Calculate prob of sequence mmn when three letters picked without replacement from mnczzm. 1/60 Calculate prob of sequence jje when three letters picked without replacement from jjjjjjjjjjjjejjjjj. 1/18 Two letters picked without replacement from glppl. What is prob of sequence lg? 1/10 What is prob of sequence ll when two letters picked without replacement from llllll? 1 Calculate prob of sequence mq when two letters picked without replacement from {p: 2, u: 5, s: 1, j: 1, q: 2, m: 2}. 1/39 Four letters picked without replacement from {z: 1, n: 5, l: 1, h: 12}. Give prob of sequence znhh. 55/7752 Two letters picked without replacement from {s: 3, o: 1, n: 1, l: 2}. What is prob of sequence no? 1/42 What is prob of sequence nlo when three letters picked without replacement from {n: 3, l: 4, o: 2}? 1/21 What is prob of sequence aad when three letters picked without replacement from {a: 3, d: 4, c: 8, l: 3, p: 1}? 4/969 Three letters picked without replacement from jujjujujjuuju. Give prob of sequence juj. 21/143 What is prob of sequence mmmm when four letters picked without replacement from mmmmm? 1 Two letters picked without replacement from dqiddiqiddqdiddqd. What is prob of sequence iq? 1/17 Calculate prob of sequence cdc when three letters picked without replacement from edcdeecccededc. 10/273 Two letters picked without replacement from mjjjjjjjjmjjjjjjjjjj. What is prob of sequence jj? 153/190 Calculate prob of sequence ii when two letters picked without replacement from iiiii. 1 Four letters picked without replacement from {g: 1, e: 2, r: 1, f: 6, n: 2}. What is prob of sequence regf? 1/990 What is prob of sequence qggq when four letters picked without replacement from {q: 2, g: 5}? 1/21 Two letters picked without replacement from {e: 2, q: 1}. Give prob of sequence qe. 1/3 Two letters picked without replacement from {z: 1, a: 1, l: 2, j: 1, q: 2, m: 1}. What is prob of sequence aj? 1/56 Calculate prob of sequence mgc when three letters picked without replacement from {q: 1, c: 2, m: 9, g: 1, i: 4}. 3/680 Calculate prob of sequence jh when two letters picked without replacement from jjjoh. 3/20 Calculate prob of sequence dd when two letters picked without replacement from {d: 3, x: 3}. 1/5 Two letters picked without replacement from gugdaswugwuuuau. Give prob of sequence uu. 1/7 Calculate prob of sequence vmm when three letters picked without replacement from mvmagvyi. 1/84 Four letters picked without replacement from {g: 8, q: 2, u: 8}. Give prob of sequence uugg. 98/2295 Three letters picked without replacement from ccchhccchhchh. What is prob of sequence chh? 35/286 What is prob of sequence cqc when three letters picked without replacement from {s: 1, q: 4, c: 2, l: 10}? 1/510 What is prob of sequence nin when three letters picked without replacement from mpmppmmimnmnnpn? 2/455 Three letters picked without replacement from {r: 2, g: 2, z: 2}. What is prob of sequence gzz? 1/30 Calculate prob of sequence jjj when three letters picked without replacement from {j: 9, b: 10}. 28/323 Two letters picked without replacement from {y: 2, x: 4, f: 1, b: 4, l: 9}. Give prob of sequence bl. 9/95 Three letters picked without replacement from lllllllllxtto. What is prob of sequence ttl? 3/286 What is prob of sequence rdd when three letters picked without replacement from {i: 2, d: 2, t: 6, r: 3}? 1/286 Three letters picked without replacement from hemhmippohp. What is prob of sequence hie? 1/330 Three letters picked without replacement from dtttdtytdccct. What is prob of sequence tyt? 5/286 Two letters picked without replacement from vwwwv. Give prob of sequence vw. 3/10 Calculate prob of sequence uafs when four letters picked without replacement from fffasauaff. 1/336 Four letters picked without replacement from {f: 5, n: 1, t: 4, j: 1, y: 3}. What is prob of sequence ytyf? 5/1001 Three letters picked without replacement from {e: 9}. Give prob of sequence eee. 1 Two letters picked without replacement from {t: 4, y: 4, h: 1, s: 2, m: 1, x: 7}. What is prob of sequence mt? 2/171 Two letters picked without replacement from ctcttymcymvvv. What is prob of sequence tv? 3/52 Calculate prob of sequence kkx when three letters picked without replacement from {k: 2, t: 6, z: 1, x: 3}. 1/220 What is prob of sequence bp when two letters picked without replacement from {b: 1, p: 5, w: 7}? 5/156 Three letters picked without replacement from {o: 4, e: 2, r: 1, s: 2}. Give prob of sequence eoe. 1/63 Three letters picked without replacement from {f: 5, m: 3, d: 3, r: 4, k: 3}. What is prob of sequence mmf? 5/816 Calculate prob of sequence kqxq when four letters picked without replacement from {k: 2, m: 4, l: 2, x: 1, q: 3, j: 3}. 1/2730 Calculate prob of sequence jv when two letters picked without replacement from {j: 2, q: 4, y: 4, v: 4, u: 1, d: 4}. 4/171 Calculate prob of sequence wjwf when four letters picked without replacement from {w: 11, j: 7, f: 2}. 77/5814 Calculate prob of sequence jf when two letters picked without replacement from tiotitttiifddijfi. 1/136 Four letters picked without replacement from cctmcqqcccmmccccccc. What is prob of sequence tcmq? 13/15504 Calculate prob of sequence tug when three letters picked without replacement from gbuggguggbuggbbtggg. 11/1938 Four letters picked without replacement from {p: 1, o: 1, j: 7}. Give prob of sequence jopp. 0 Two letters picked without replacement from wxaowoj. Give prob of sequence jx. 1/42 Calculate prob of sequence nk when two letters picked without replacement from idiraknrndid. 1/66 What is prob of sequence xgx when three letters picked without replacement from gzzebbxxzx? 1/120 Two letters picked without replacement from jttttj. What is prob of sequence jt? 4/15 Two letters picked without replacement from {h: 1, m: 5, p: 1, f: 3, c: 2}. Give prob of sequence mc. 5/66 Calculate prob of sequence dooz when four letters picked without replacement from zdoddddozddzdddoozo. 25/2907 Two letters picked without replacement from {a: 1, q: 6, l: 3, d: 3, c: 3, o: 1}. What is prob of sequence lo? 3/272 What is prob of sequence vi when two letters picked without replacement from sbsbbiv? 1/42 Three letters picked without replacement from rwpywvu. Give prob of sequence vyw. 1/105 What is prob of sequence xxex when four letters picked without replacement from xxeexexeeeeeexexee? 1/51 Two letters picked without replacement from {r: 1, f: 4, h: 3, s: 2}. Give prob of sequence rf. 2/45 Two letters picked without replacement from {b: 3, u: 4, y: 2, t: 1}. What is prob of sequence yt? 1/45 What is prob of sequence zqnq when four letters picked without replacement from qznqzqzfqzr? 1/165 What is prob of sequence ddd when three letters picked without replacement from ddd? 1 What is prob of sequence mmb when three letters picked without replacement from mmbxxmxxmbxbm? 5/143 Calculate prob of sequence cnm when three letters picked without replacement from xcmn
{ "pile_set_name": "DM Mathematics" }
(4). Suppose v*m - 227 = -p, 4 = -p + h. Does 14 divide m? True Let o be 2412/144 - 6/8. Suppose -6264 - 1608 = -o*t. Does 7 divide t? False Let v(z) = z - 25. Let i(p) = 4*p - 126. Let n(j) = -3*i(j) + 14*v(j). Let s be n(-14). Suppose 0 = -s*q - 2*q + 48. Is 3 a factor of q? True Let m = 10 + -22. Let r be 4 - (3/m + 0)*-4. Let d(f) = f**2 - 2*f + 4. Is 7 a factor of d(r)? True Let s = -11039 - -19999. Is 8 a factor of s? True Let q(y) = -y**2 - 22*y + 14. Let z(p) = -p**2 + 7*p + 8. Let o be z(-3). Is q(o) a multiple of 7? True Suppose -k + 2*v - 5028 = -18517, k + 2*v = 13469. Does 23 divide k? False Let b = 251 + -372. Let i = b + 309. Is 47 a factor of i? True Suppose 59888 = 12*o - s, -14818 = -4*o + s + 5142. Does 48 divide o? False Let r(h) = 70*h - 20 + 68*h + h**3 - 14*h**2 - 147*h. Does 10 divide r(15)? True Is 18 a factor of 10725 + -2 + -5 + -3? False Suppose -26*x + 6164 + 7460 = 0. Is x - -1 - (7 + -16 + 6) a multiple of 33? True Suppose -2*b = -4*n + 2178, -2*n + 2*b - 219 = -1305. Let j = n + -109. Does 23 divide j? True Let l be 24/(-11 - -5) + 4. Suppose x - 5*a - 318 = 107, l = -5*x - 2*a + 2044. Is 42 a factor of x? False Suppose 14*p - 169*p + 4392000 = 89*p. Does 60 divide p? True Suppose -7*h = -3*h - 4. Let v be 3*((-12)/(-9) - h). Let z(q) = 26*q**2 - 5*q + 5. Is z(v) a multiple of 13? True Let x = 127093 + -87873. Does 37 divide x? True Let g(h) = 3*h**3 - 120*h**2 - 43*h + 83. Is 57 a factor of g(41)? True Let v(g) = -g + 2. Let u(h) = 67*h - 113. Let b(a) = u(a) - 4*v(a). Is b(3) a multiple of 9? False Suppose -238 + 1078 = -3*t. Let l = 493 + t. Is l a multiple of 11? False Suppose 1385694 = 134*a + 67*a. Is a a multiple of 46? False Suppose 27*j = 230330 + 378925. Is 5 a factor of j? True Let i(n) = 5*n**3 - 15*n**2 + 22*n - 10. Let a(s) = -27*s**3 + 74*s**2 - 110*s + 52. Let r(j) = 2*a(j) + 11*i(j). Does 10 divide r(16)? True Let p = 6 + -2. Let f(d) = -d**3 + 8*d**2 - 11*d - 7. Let b be f(4). Suppose p*n + 4*g = 3*n + b, -4*g + 76 = 4*n. Is 13 a factor of n? False Let h be (5 - (-138)/(-24))*8. Is 17 a factor of 1267 + (h - -9) + 5? True Let a = -2084 + 1420. Let r be (25/20 + (-9)/12)*a. Is (-40)/12*6/(-5) - r a multiple of 15? False Let h be -5 + (-457 - 0) - (0 + -2). Let w = h + 480. Does 5 divide w? True Let h(w) = -31*w + 13. Let l = -96 + 91. Does 21 divide h(l)? True Let x(f) = -46*f + 1268. Is 12 a factor of x(-18)? False Let h be -1*52 - (-2 + 3 + -4). Let b(f) = -5*f**2 - 9*f + 14. Let u be b(-6). Is 2 a factor of u/h*(-35)/(-10)? True Let b(h) = -182*h**3 + h**2 - 3*h - 4. Suppose -3*g = -11*g - 8. Let w be b(g). Suppose 0 = -4*z - c + 320, 0*z + 5*c = 2*z - w. Does 17 divide z? False Suppose -2*o = -9*o - 1603. Let p = -96 - o. Is 21 a factor of p? False Let g = 1338 + -91. Suppose 9023 = 12*c + g. Does 12 divide c? True Let r = -10726 + 13677. Is 10 a factor of r? False Let k = 5998 + -3017. Does 11 divide k? True Let l(a) = a**3 + 7*a**2 - 7*a - 1. Let g be l(-8). Let f be (-1)/(15/g)*185. Is 12 a factor of f + -10 + 3/(-1)? False Let w be (5/15)/(6/9)*6. Let u be (-790)/(-8) + (-1)/(-4). Suppose s - 5*g = 2*s - u, w*s = 3*g + 225. Is s a multiple of 10? False Suppose 4*a - 15 = -a. Suppose 2*v - 57 = -5*n, -n = v + a*v - 15. Is 5 a factor of (-3 - (3 - 8)) + n? False Let m be 54/45*(-10)/6*-2. Suppose 15 = -5*u + 10, 0 = -m*r + u + 201. Is r a multiple of 10? True Let u(r) = 17*r + 22. Let g(z) = 297*z + 385. Let y(l) = -l**2 + 11*l + 14. Let n be y(-6). Let o(b) = n*u(b) + 5*g(b). Does 42 divide o(-25)? False Let r(c) = c**3 + 9*c**2 - 12*c - 15. Let g be r(-10). Suppose -6*b + g*u = -b - 540, -2*u = -b + 111. Is b a multiple of 15? True Suppose 3*f + 3*z = -417, f + z = -4*f - 687. Let c be (-1)/3 + 336/36. Let j = c - f. Does 30 divide j? False Let t(v) = 70*v - 79*v - 2*v**2 + 1 - 9 - 721*v**3. Is t(-1) a multiple of 48? True Let u = 1772 + -1298. Is 79 a factor of u? True Suppose -5*m - 2*h = -1573, -10*h = 5*m - 5*h - 1570. Let d = -45 - -20. Does 6 divide 4/10 - m/d? False Let y(i) = i**2 - 21*i - 19. Let m be (-15)/(-20)*-2*-16. Does 5 divide y(m)? False Let s(o) = 3078*o**2 + 86*o + 198. Is s(-3) a multiple of 102? True Suppose -w - 2*q + 1 + 11 = 0, -2*w + 4*q + 32 = 0. Let l(v) be the first derivative of 5*v**2/2 - 7*v + 1. Does 7 divide l(w)? True Suppose -34*o - 40 = -39*o. Does 26 divide 12/9*2442/o? False Let b = -37786 + 82764. Is b a multiple of 67? False Let q(t) = 123*t + 4405. Is q(0) a multiple of 21? False Let b = 16966 - -9774. Does 20 divide b? True Let s(g) = -110*g + 723. Is 109 a factor of s(-40)? True Suppose 5*f - 36476 + 186886 = 5*s, 4*f = 2*s - 60178. Is 11 a factor of s? False Suppose -3*s = -0*s - 576. Suppose 16 = -3*o + 4*t, 53*t - 8 = 4*o + 51*t. Suppose 5*g - 383 - s = o. Is g a multiple of 5? True Suppose -3*y + 5*q = -4*y + 9, -3*y - 2*q = -14. Suppose 0 = -s - 4*u - 1, y*s + 4*u + 39 - 11 = 0. Is s/3*(-26)/6 a multiple of 13? True Let g = 91193 - 64945. Is 49 a factor of g? False Suppose -2*b = -b - 4. Suppose -f - 2935 = -4*u, -u - f + 750 = 2*f. Suppose u = b*a + 3*a. Is 21 a factor of a? True Suppose -2*r + 61*r - 9184 - 59905 = 0. Does 32 divide r? False Let k(t) = 1116*t + 7479. Does 34 divide k(11)? False Suppose 37*l = -2*t + 41*l + 2, -4*t + 5*l = -7. Suppose 3*x + 19*q - 181 = 24*q, 2*x = -t*q + 108. Does 27 divide x? False Suppose 3*s - 225 = 210. Let x = 216 - s. Let b = 76 - x. Is b even? False Let j(d) = d**2 + 8*d + 5. Let p be j(-9). Let f = 19 - p. Suppose 3*l + 108 = f*l. Is l a multiple of 11? False Let l = 30911 - 30431. Does 10 divide l? True Let k be (23/(-69))/((-2)/24). Suppose t = -5*h + 1198, 2*h + 2*t = 5*t + 486. Suppose -6*y + h = k*y. Does 12 divide y? True Let z(a) = -9*a + 23. Let b be z(3). Is 7*((2/(-2) - -28) + b) a multiple of 6? False Let g(y) = -3*y**2 + 0*y**3 + 19 - 3*y**3 + 2*y**3 + 0*y**3 + 11*y. Is 69 a factor of g(-10)? False Suppose -8*t = 5 - 21. Let b be t/(-4) - (5 + 1270/(-4)). Suppose b = 4*d - 2*d. Is d a multiple of 39? True Does 7 divide (-47563 + 19)/(-21) - 3? True Suppose -o - 31 = -4*t, 0 = -t + 4*t + 5*o - 6. Let y(q) = q + 9. Is y(t) a multiple of 12? False Suppose -2*x + 236 = 48. Suppose -4*a + c + 89 = 0, 4*a - 3*c + c = x. Is a a multiple of 5? False Let l(j) = -15*j - 16. Let w be l(-10). Let r = -110 + w. Does 4 divide r? True Let k = 1542 + 1603. Does 85 divide k? True Let v be -1 + -1047 - ((-5 - -3) + -1). Let g = -695 - v. Suppose -9*f = -2*f - g. Does 14 divide f? False Let p(t) = -2281*t + 3908. Is p(-3) a multiple of 12? False Suppose 3*u = -3*f + 12, -24 = 8*f - 9*f + 4*u. Suppose -5*c - 3*k = -4 - 10, -4*k = 2*c. Suppose -f*h + 144 = -c*h. Is h a multiple of 18? True Suppose -f = -v - 25, -f - 2*v - 16 + 50 = 0. Let j = 36 - f. Suppose -192 = j*w - 10*w. Is 17 a factor of w? False Does 14 divide (-9)/15 + (59106/10 - 1)? False Suppose -149*d + 11 = -148*d. Suppose s = -2, 6*s = 5*y + d*s - 260. Is y a multiple of 8? False Suppose 0 = -8*q + 3*q. Suppose 5*m + o - 790 = q, -286 = -2*m - 2*o + 30. Does 28 divide m? False Suppose -6*u - 25 = -u, -v = -2*u + 96. Let i = v + 61. Let g = i + 61. Is 10 a factor of g? False Suppose 0 = -6*w + 24*w - 6714. Suppose -k + w = u + 4*k, -2*u = -3*k - 759. Is 41 a factor of u? False Let d be -12 - -4 - (-692 - -3). Let c = d - -199. Does 12 divide c? False Let i be 3/(58/30 - 2). Suppose -1157 - 2803 = -40*s. Let q = i + s. Does 4 divide q? False Suppose 0*v - 3*i = 2*v + 11, -23 = 4*v + 5*i. Let x(p) = -7*p + 20. Let f be x(v). Let j = f - -43. Is 7 a factor of j? True Let o = 27604 + -18640. Is o a multiple of 54? True Let o(k) = 6*k**3 + 2*k**2 + k - 3. Let p be o(1). Suppose v - 5*i = p*v - 1235, -v - 4*i = -259. Is 8 a factor of v? False Suppose 0 = 5*p + o - 126213, 726*p = 725*p - 4*o + 25254. Is p a multiple of 7? True Let i be 20/(-3) - (-10)/15. Let d be (i/4)/(-3)*90/9. Suppose 2*p - 51 = r, -d*p + 2*p = 5*r - 44. Does 6 divide p? False Let i = -8911 + 13271. Is i a multiple of 109? True Suppose -16*g = -19*g + 12573. Does 33 divide g? True Let i = 274 - 416. Let v = i + 245. Is 27 a factor of v - 10/(-15)*3? False Suppose 242*b + 117*b - 564571 = -129104. Does 5 divide b? False Suppose 13*t - 2*u + 960 = 17*t, 4*t = u + 960. Suppo
{ "pile_set_name": "DM Mathematics" }
. 5 Let r = -200 + 305. Calculate the remainder when r is divided by 53. 52 Suppose -4*l = 4*n - 752, 3*n = 9*l - 14*l + 570. Calculate the remainder when n is divided by 54. 23 Suppose w = 37 + 25. Suppose w = f - 0*f. Calculate the remainder when f is divided by 16. 14 Let a be -2 - ((-3)/3 + -3). Let w = a + -1. Suppose 0 = -2*i + t + 32, i + 4*t = w + 33. What is the remainder when 35 is divided by i? 17 Let w be (-1 - -16)/(-3) + 261. Suppose 4*d - w = 4*b, -2*b + b = 2. Calculate the remainder when d is divided by 25. 12 Suppose 7*q + 27 = 69. Calculate the remainder when 16 is divided by q. 4 What is the remainder when (-1)/2 - (-1251)/18 is divided by 24? 21 Suppose 6*p - 780 = -0*p. Calculate the remainder when p is divided by 22. 20 Let n(l) = -2*l + 1. Let y be n(-2). Let o(z) = 2*z**2 - 11*z - 17. Let f be o(-7). Suppose -y*d = -f + 23. Calculate the remainder when 106 is divided by d. 25 Suppose 10 = -2*u + 14. Suppose w + 4*x - 14 = 0, -87 = -5*w + u*w - 3*x. What is the remainder when w is divided by 9? 7 Suppose -70*r = -5*s - 71*r + 365, 0 = 2*s - 4*r - 146. What is the remainder when 435 is divided by s? 70 Suppose 0 = p + 2*p. Let s be (p + (-20)/12)*-3. Suppose 0 = -s*a + 110 - 0. What is the remainder when a is divided by 12? 10 Let b = 2 + 1. Suppose b*i + 2 = 2*i. Let l = 47 + i. What is the remainder when l is divided by 16? 13 Let u be 9*(2 - 5/3). Suppose 13 - 83 = -4*k - h, u*k - 5*h = 41. Let z = k - 6. What is the remainder when z is divided by 7? 4 Let a = -15 + 19. Suppose 3*r = -5*b - 137, 12 + 179 = -a*r - 5*b. What is the remainder when (r/5)/(14/(-105)) is divided by 21? 18 Suppose -5*v = 2*j - 59 + 206, 25 = -v + 4*j. Let n = 32 + -49. Let h = n - v. Calculate the remainder when 47 is divided by h. 11 Suppose -z + 24 = -0*z. Let d be 3 + -1 + -2 + z. Suppose -3*v - t - 4*t = -d, -2*t = -6. Calculate the remainder when v is divided by 1. 0 Suppose 2*k + 4*d - 308 = 0, 3*d = -3*k + 68 + 391. Let g = -91 + k. Calculate the remainder when g is divided by 9. 7 Suppose 0 = 4*d - 8 - 8. Suppose m - 2*m + 4*h + 24 = 0, h = d*m - 66. What is the remainder when 47 is divided by m? 15 Let o be (-48)/(-10) - 1/(-5). Suppose -43 = -3*k + z, o*k + z - 26 = 35. Let a = -25 - -30. Calculate the remainder when k is divided by a. 3 Suppose -31*h = -26*h - 1585. Suppose -5*t + j + 788 = 2*j, h = 2*t + j. What is the remainder when t is divided by 32? 29 Let y(o) = -o + 28. Let z be y(6). Suppose 8*w = 7*w - 5*f - z, -4*w = 4*f + 8. Calculate the remainder when 22 is divided by w. 1 Calculate the remainder when (-121)/(1*(0/(-3) + -1)) is divided by 25. 21 Let m(i) = -2*i**2 - 22*i - 9. Calculate the remainder when 251 is divided by m(-6). 47 Suppose 2*x - 210 = 4*r, 4*r - 20 + 16 = 0. What is the remainder when x is divided by 37? 33 Suppose 440 = 3*g - 8*g. Let p = -74 - g. Calculate the remainder when 40 is divided by p. 12 Suppose -3*g = 2*g - 55. Suppose -23*s + 19*s = -80. Let b = s + g. Calculate the remainder when 90 is divided by b. 28 Let i(b) = 10*b + 72. What is the remainder when 58 is divided by i(-6)? 10 Let h = 30 + -31. Calculate the remainder when 19 + (-1 - (h - -1)) is divided by 10. 8 Suppose 3*o - 1 + 7 = 0. Let x = -8 + o. Calculate the remainder when 51 is divided by 400/22 - x/(-55). 15 Suppose -11 = j - 6. What is the remainder when 145 is divided by ((-6)/j)/((-26)/(-455))? 19 Let p = 484 + -404. Calculate the remainder when 262 is divided by p. 22 Suppose -83*u + 75*u = -376. Calculate the remainder when 133 is divided by u. 39 Suppose 0*z = 10*z - 80. Let u = z + 25. Calculate the remainder when 196 is divided by u. 31 Suppose -224*q + 176 = -213*q. What is the remainder when 58 is divided by q? 10 Let r(h) = -h**2 - 5*h + 8. Suppose 3*z = -3 - 15. Let d be r(z). Calculate the remainder when (2 - d) + 58 + -3 is divided by 28. 27 Let g = -142 + 176. Calculate the remainder when 66 is divided by g. 32 Let l(c) = c + 6. Let p be l(-8). Let z be 7*(p + 48/14). What is the remainder when 13 is divided by ((-12)/z)/((-6)/20)? 1 Suppose 3*u = 74 - 32. Suppose 200 + 206 = u*o. What is the remainder when o is divided by 18? 11 Let g(f) = -2*f**3 + f**2 + f - 1. Let u be g(2). Let x = u + 22. Calculate the remainder when 6/14 - (-4650)/175 is divided by x. 5 Suppose 3*w - 304 = -5*u, 0 = -5*u + 3*w + 303 + 13. Calculate the remainder when u is divided by 18. 8 Let r(z) = 5*z + 67. Let c be r(-20). Let i = 30 - c. What is the remainder when i is divided by 17? 12 What is the remainder when 22 is divided by 4 + -1*(-17 + 2)? 3 Let b(j) = 3*j**3 - 19*j**2 + 15*j - 16. What is the remainder when b(7) is divided by 38? 35 Let t(u) = -u**3 + 17*u**2 - 15*u - 10. Calculate the remainder when 40 is divided by t(16). 4 Suppose 9*k = 12*k - 75. Suppose 396 = 28*l - k*l. What is the remainder when l is divided by 17? 13 Suppose 9*m - 14*m - 5 = 0, -m + 283 = d. Calculate the remainder when d is divided by 15. 14 Let f(o) = -o**3 - 15*o**2 - 17*o - 33. Calculate the remainder when 29 is divided by f(-14). 2 Let q = 55 - 30. Suppose 35 = 4*r - q. What is the remainder when 29 is divided by r? 14 Let b = 162 - 88. Let d = 2 + -2. Suppose r - 4 - 21 = d. What is the remainder when b is divided by r? 24 Suppose c = 25 - 60. Let w = c - -65. What is the remainder when w is divided by 8? 6 Suppose 0 = -o - 0*o + 2. Suppose 6 = 2*g, 2*j = -o*j + 5*g + 73. What is the remainder when 37 is divided by j? 15 Let k(f) = -f**3 - 16*f**2 + f + 31. Let l be k(-16). Suppose 0 = -2*u + 2*r + 24, u - l = r + r. Calculate the remainder when 44 is divided by u. 8 What is the remainder when 94 is divided by 43*2 + 105/(-21)? 13 Let j = 329 + -286. Calculate the remainder when j is divided by 32. 11 Suppose 4*x - o - 94 = 71, 3*o + 3 = 0. Calculate the remainder when 363 is divided by x. 35 Suppose -5*q = t - 2, 3*t = -2*t + 4*q + 10. Suppose 2 + t = -4*m. What is the remainder when 37 is divided by (2 - 6)*(m - 4)? 17 Let j be ((-6)/8)/(4/(-16)). Let q be j - (9/(-3))/(-3). Suppose -4*z = q*l + 7 - 37, -5*l + 45 = 4*z. Calculate the remainder when 14 is divided by l. 4 Let r be (27/(-12))/((-12)/32). Suppose -r*n + n = -4*p + 434, 4*n + 5*p = -380. Calculate the remainder when (n/(-25))/(4/30) is divided by 7. 6 What is the remainder when 26/(0 + 2 - 1) is divided by (-6 + 2)*((-27)/6 - -1)? 12 What is the remainder when 538 is divided by ((-381)/(-6) - 5) + 6/4? 58 Suppose -10*u + 8*u = -3*x + 57, 0 = 2*x - 2*u - 36. What is the remainder when 35 is divided by x? 14 Suppose 4*a - 7*a = 5*c - 502, 2*a + 2*c = 340. Calculate the remainder when a is divided by 22. 20 Let z be 2 + (-2 + 1)*-1. Suppose -4*k = -h + 5 - 2, h - z = 5*k. Suppose 0*p + h*p - 129 = 0. What is the remainder when p is divided by 11? 10 Suppose 15 = 5*o - 5*m, -5*m = 4*o - 2*m - 33. What is the remainder when 18 is divided by o? 0 Let u = -16 - -39. Let g(v) = v**3 + 7*v**2 + 5*v. Let m = -33 + 27. Calculate the remainder when u is divided by g(m). 5 Let t(s) = -22*s - 117. Calculate the remainder when t(-11) is divided by 14. 13 Let s = -22 - -46. Suppose -l + 2*w = l - s, -w = 3*l - 44. Calculate the remainder when 54 is divided by l. 12 Let b = 9 - 1. What is the remainder when b is divided by 8? 0 Suppose v = -4*k + 25, -2*v - 2*k + 0*k + 26 = 0. Suppose 0 = -0*t - 3*t + 72. Calculate the remainder when t is divided by v. 6 Suppose d + d = 2*h - 4, -5*d - 5*h + 40 = 0. Suppose -m - 26 = -d*o, 12 = o + 4*m - 14. What is the remainder when 98 is divided by o? 8 Calculate the remainder when 190/4*((-56)/(-10))/14 is divided by (22/(-4))/((-3)/6). 8 Suppose -3*z = -6*z - 2*c + 1361, -4*c = -4*z + 1828. Calculate the remainder when z is divided by 20. 15 Suppose 5*d + 18 = -2*q, -d = -0*q - 5*q + 9. Let g = 8 - 9. What is the remainder when q is divided by (g + 0)*(0 + -1)? 0 Let q(a) = -a**2 + 9*a - 2. Let s be q(8). Let c be (-2)/3 - s/(-9). Suppose c = r + r - 34. What is the remainder when 50 is divided by r? 16 Let f be (-2 + -5 + 1)*-1. Suppose f*z = -3*z + 90. What is the remainder when 59 is divided by z? 9 Let d(c) = c**2 + 9*c - 16. Let j be d(-7). Let i = j + 35. What is the remainder when 24 is divided by i? 4 Suppose 0 = o + 4*o + 50. Let u be 16 + (1 -
{ "pile_set_name": "DM Mathematics" }
4 AM How many minutes are there between 1:28 AM and 2:39 AM? 71 How many minutes are there between 3:33 AM and 9:28 AM? 355 How many minutes are there between 5:49 AM and 11:48 AM? 359 What is 387 minutes before 11:12 PM? 4:45 PM What is 337 minutes after 9:00 AM? 2:37 PM How many minutes are there between 6:09 PM and 5:55 AM? 706 What is 709 minutes before 2:54 AM? 3:05 PM What is 2 minutes before 11:04 AM? 11:02 AM What is 587 minutes before 3:03 PM? 5:16 AM How many minutes are there between 2:55 PM and 12:23 AM? 568 What is 53 minutes after 3:23 AM? 4:16 AM What is 655 minutes before 10:38 AM? 11:43 PM How many minutes are there between 12:00 PM and 2:40 PM? 160 How many minutes are there between 8:59 PM and 4:09 AM? 430 How many minutes are there between 8:07 PM and 3:26 AM? 439 What is 300 minutes before 6:15 PM? 1:15 PM What is 558 minutes after 1:04 AM? 10:22 AM What is 664 minutes after 11:56 PM? 11:00 AM How many minutes are there between 12:06 PM and 12:48 PM? 42 What is 524 minutes before 10:09 PM? 1:25 PM What is 197 minutes before 5:10 PM? 1:53 PM How many minutes are there between 2:51 AM and 10:15 AM? 444 What is 355 minutes before 2:07 PM? 8:12 AM How many minutes are there between 2:19 PM and 4:47 PM? 148 What is 53 minutes after 12:48 PM? 1:41 PM How many minutes are there between 1:24 AM and 7:06 AM? 342 How many minutes are there between 3:55 AM and 7:01 AM? 186 How many minutes are there between 7:42 PM and 11:51 PM? 249 How many minutes are there between 12:27 PM and 6:58 PM? 391 What is 641 minutes after 4:57 PM? 3:38 AM How many minutes are there between 9:30 PM and 5:20 AM? 470 What is 104 minutes before 6:32 AM? 4:48 AM What is 553 minutes before 12:26 PM? 3:13 AM What is 385 minutes before 5:57 AM? 11:32 PM How many minutes are there between 5:07 AM and 3:03 PM? 596 What is 128 minutes after 1:04 PM? 3:12 PM How many minutes are there between 5:31 AM and 7:31 AM? 120 How many minutes are there between 9:28 PM and 9:23 AM? 715 What is 605 minutes before 7:17 PM? 9:12 AM What is 599 minutes before 10:46 PM? 12:47 PM How many minutes are there between 3:20 PM and 3:39 PM? 19 How many minutes are there between 9:33 PM and 9:42 PM? 9 How many minutes are there between 8:27 PM and 11:22 PM? 175 How many minutes are there between 4:15 PM and 2:03 AM? 588 How many minutes are there between 6:31 PM and 10:08 PM? 217 How many minutes are there between 2:31 PM and 4:07 PM? 96 How many minutes are there between 9:47 AM and 12:27 PM? 160 How many minutes are there between 3:36 PM and 11:28 PM? 472 How many minutes are there between 11:11 AM and 2:38 PM? 207 How many minutes are there between 11:58 AM and 1:49 PM? 111 How many minutes are there between 12:02 AM and 6:29 AM? 387 How many minutes are there between 7:14 AM and 4:23 PM? 549 How many minutes are there between 1:56 AM and 12:19 PM? 623 How many minutes are there between 4:55 AM and 4:44 PM? 709 What is 715 minutes before 6:45 AM? 6:50 PM How many minutes are there between 1:37 PM and 5:43 PM? 246 How many minutes are there between 8:30 AM and 5:29 PM? 539 How many minutes are there between 5:06 AM and 5:59 AM? 53 What is 424 minutes before 6:43 AM? 11:39 PM What is 115 minutes after 10:33 AM? 12:28 PM How many minutes are there between 9:34 AM and 4:05 PM? 391 How many minutes are there between 12:50 PM and 4:50 PM? 240 How many minutes are there between 1:52 AM and 5:35 AM? 223 How many minutes are there between 10:11 AM and 4:11 PM? 360 What is 56 minutes after 5:39 PM? 6:35 PM What is 274 minutes before 12:07 PM? 7:33 AM What is 419 minutes after 6:43 PM? 1:42 AM How many minutes are there between 5:00 PM and 10:37 PM? 337 What is 643 minutes after 3:57 PM? 2:40 AM How many minutes are there between 11:10 AM and 10:35 PM? 685 How many minutes are there between 9:48 AM and 3:19 PM? 331 What is 678 minutes before 12:43 PM? 1:25 AM How many minutes are there between 12:20 AM and 5:48 AM? 328 How many minutes are there between 4:18 PM and 1:42 AM? 564 What is 491 minutes after 9:00 PM? 5:11 AM What is 553 minutes before 4:19 AM? 7:06 PM What is 480 minutes after 8:00 AM? 4:00 PM How many minutes are there between 1:05 AM and 12:50 PM? 705 How many minutes are there between 8:21 PM and 7:54 AM? 693 What is 672 minutes before 9:30 PM? 10:18 AM How many minutes are there between 8:47 AM and 4:20 PM? 453 What is 35 minutes after 9:33 PM? 10:08 PM How many minutes are there between 4:52 AM and 2:39 PM? 587 What is 238 minutes after 6:16 PM? 10:14 PM What is 688 minutes before 3:15 AM? 3:47 PM How many minutes are there between 9:41 AM and 2:45 PM? 304 What is 136 minutes before 9:38 AM? 7:22 AM How many minutes are there between 3:44 AM and 4:33 AM? 49 How many minutes are there between 2:09 PM and 4:34 PM? 145 What is 203 minutes after 1:53 PM? 5:16 PM What is 355 minutes after 7:36 PM? 1:31 AM What is 97 minutes after 9:37 PM? 11:14 PM What is 40 minutes after 5:43 PM? 6:23 PM What is 391 minutes before 5:54 PM? 11:23 AM What is 110 minutes before 12:01 PM? 10:11 AM How many minutes are there between 4:46 AM and 8:41 AM? 235 What is 277 minutes after 11:55 AM? 4:32 PM How many minutes are there between 2:54 PM and 12:59 AM? 605 How many minutes are there between 12:21 PM and 12:30 PM? 9 How many minutes are there between 2:03 AM and 6:55 AM? 292 What is 238 minutes before 3:20 PM? 11:22 AM How many minutes are there between 5:56 PM and 7:27 PM? 91 How many minutes are there between 2:20 PM and 10:03 PM? 463 What is 260 minutes before 3:20 PM? 11:00 AM What is 265 minutes after 7:51 AM? 12:16 PM How many minutes are there between 5:29 AM and 4:29 PM? 660 What is 457 minutes before 4:59 PM? 9:22 AM What is 662 minutes after 11:14 AM? 10:16 PM What is 581 minutes after 1:45 PM? 11:26 PM How many minutes are there between 11:54 AM and 7:37 PM? 463 How many minutes are there between 5:16 PM and 10:36 PM? 320 What is 264 minutes before 3:07 PM? 10:43 AM What is 472 minutes after 10:17 PM? 6:09 AM What is 110 minutes before 5:10 AM? 3:20 AM What is 149 minutes after 8:10 AM? 10:39 AM How many minutes are there between 8:06 AM and 12:19 PM? 253 How many minutes are there between 5:59 PM and 6:18 PM? 19 How many minutes are there between 5:48 PM and 7:32 PM? 104 What is 353 minutes after 5:38 AM? 11:31 AM How many minutes are there between 4:33 PM and 2:03 AM? 570 How many minutes are there between 8:18 PM and 2:17 AM? 359 How many minutes are there between 5:06 AM and 8:20 AM? 194 How many minutes are there between 5:56 AM and 12:37 PM? 401 What is 463 minutes before 7:48 PM? 12:05 PM What is 419 minutes before 2:02 PM? 7:03 AM How many minutes are there between 12:03 AM and 10:33 AM? 630 How many minutes are there between 5:23 AM and 5:34 AM? 11 What is 547 minutes after 12:37 AM? 9:44 AM How many minutes are there between 3:52 AM and 3:38 PM? 706 What is 223 minutes after 12:11 PM? 3:54 PM What is 705 minutes before 11:05 AM? 11:20 PM How many minutes are there between 11:46 AM and 1:03 PM? 77 What is 320 minutes before 7:50 AM? 2:30 AM How many minutes are there between 1:10 AM and 8:00 AM? 410 How many minutes are there between 12:42 PM and 10:38 PM? 596 What is 662 minutes after 12:37 AM? 11:39 AM What is 612 minutes after 11:59 AM? 10:11 PM How many minutes are there between 10:56 PM and 3:20 AM? 264 How many minutes are there between 4:11 AM and 3:39 PM? 688 How many minutes are there between 12:05 PM and 2:45 PM? 160 How many minutes are there between 11:03 AM and 1:25 PM? 142 How many minutes are there between 6:14 AM and 9:09 AM? 175 What is 444 minutes after 12:00 PM? 7:24 PM How many minutes are there between 9:50 AM and 9:29 PM? 699 What is 176 minutes before 1:09 PM? 10:13 AM What is 342 minutes before 4:35 PM? 10:53 AM What is 153 minutes after 10:26 AM? 12:59 PM How many minutes are there between 6:57 PM and 4:06 AM? 549 How many minutes are there between 6:30 AM and 4:57 PM? 627 How many minutes are there between 4:32 PM and 10:38 PM? 366 What is 373 minutes before 1:23 PM? 7:10 AM How many minutes are there between 9:57 PM and 3:19 AM? 322 How many minutes are there between 9:37 AM and 12:48 PM? 191 What is 251 minutes after 2:53 AM? 7:04 AM What is 110 minu
{ "pile_set_name": "DM Mathematics" }
j**4/12 + 3*j**2/2 + 2. Let h(o) be the second derivative of g(o). Find the second derivative of h(d) wrt d. -6 Let d(q) = q**3 - 9*q**2 + 6*q. Let b(o) = -2*o**3 + 10*o**2 - 5*o. Let j(t) = -6*b(t) - 5*d(t). Find the third derivative of j(n) wrt n. 42 Let v be ((-16)/(-5))/(-4)*-5. Let b(x) = -2 - 13*x**2 - 4 - 5. Let l(h) = 6*h**2 + 5. Let i(d) = v*b(d) + 9*l(d). What is the derivative of i(w) wrt w? 4*w Let t(z) = z**4 - z**2. Let v(o) = 6*o**4 - 2*o**2 - 18*o. Let c(y) = -2*t(y) + v(y). What is the second derivative of c(s) wrt s? 48*s**2 Let s(a) = 3*a**2 - 3. Let g(k) be the third derivative of k**5/30 - k**3/3 + k**2. Let t(x) = -10*g(x) + 6*s(x). Find the first derivative of t(o) wrt o. -4*o Let d(c) be the first derivative of 2*c**6/15 - 2*c**2 - 4*c + 4. Let o(r) be the first derivative of d(r). Differentiate o(s) with respect to s. 16*s**3 Let y(i) = -7*i**2 - 3*i - 5. Let c(m) = -20*m**2 - 8*m - 14. Let f = 12 - 26. Let n(j) = f*y(j) + 5*c(j). What is the second derivative of n(q) wrt q? -4 Let j(q) be the third derivative of q**7/70 + q**6/120 + 9*q**5/10 - 4*q**2 - 2*q. What is the third derivative of j(x) wrt x? 72*x + 6 Let u(r) be the second derivative of 0*r**3 + 0*r**6 + 0*r**2 + 0 + 1/4*r**4 + 5*r - 1/28*r**8 + 0*r**7 + 0*r**5. What is the third derivative of u(w) wrt w? -240*w**3 Let r(a) = -a**3 + 7*a**2 - 6*a + 4. Let x be r(6). Let s(l) = -l - 4. Let o be s(-4). Differentiate -x + o + t - 2*t wrt t. -1 What is the first derivative of 3 + 15*q**2 - 9*q**2 - 17*q**2 - 27 wrt q? -22*q Let n(z) = -7*z**3 + 5*z**2 + 5*z + 6. Let g(c) = -3*c**3 + 2*c**2 + 2*c + 3. Let f(i) = -5*g(i) + 2*n(i). Differentiate f(v) with respect to v. 3*v**2 Differentiate -16*x**2 + 30*x**2 - 14*x**2 - 6*x**3 - 5 with respect to x. -18*x**2 Let j(w) = -2*w - 1. Suppose -4 = -3*d - 1. Let h(i) = -1. Let t(y) = d*j(y) - 2*h(y). What is the derivative of t(r) wrt r? -2 Suppose -b + x = -7, 5 = -3*b - 2*x + 1. Find the first derivative of -b*u**3 + 0 + 1 - u**3 + 0 wrt u. -9*u**2 What is the first derivative of 15*s**3 + 0*s**3 - 8*s**3 - 21 + 4 wrt s? 21*s**2 Find the third derivative of 10*v**2 - 12*v**3 + 7*v**2 + 2*v**2 - 2*v**2 wrt v. -72 Let d(z) be the first derivative of -z**5 - 4*z**3 - 5. What is the third derivative of d(w) wrt w? -120*w Let r(d) be the first derivative of -1 + 0*d - d**2 + 1/3*d**3. What is the second derivative of r(x) wrt x? 2 Let l = 9 - 6. Differentiate -3 + l*z**3 + 5 + 0 - 4 with respect to z. 9*z**2 Let u(f) = 14*f**3 - 3*f**2 + 12. Let t(o) = 14*o**3 - 2*o**2 + 11. Let p(x) = -3*t(x) + 2*u(x). Differentiate p(y) with respect to y. -42*y**2 Let y be (3/2)/((-14)/(-28)). Let g(d) = d**2 - 3*d + 2. Let o be g(2). What is the third derivative of -9*p**5 + y*p**2 + o*p**3 + 0*p**3 + 8*p**5 wrt p? -60*p**2 Suppose 0 = -4*b + 4*n + 16, b = -0*b - 2*n + 4. What is the second derivative of -l - l + 0*l**5 + b*l - 3*l**5 wrt l? -60*l**3 Let m(z) = -z + 13. Let i be m(9). Let u(n) be the first derivative of 0*n**3 + 1 + n**2 + 1/4*n**i + 0*n. Find the second derivative of u(x) wrt x. 6*x Let q(p) be the second derivative of -p**6/120 - 5*p**3/6 + 3*p**2/2 + p. Let r(u) be the first derivative of q(u). What is the first derivative of r(f) wrt f? -3*f**2 Find the third derivative of -11*h**2 - 2*h + 47*h**3 - 16*h**3 + 12*h**2 + h wrt h. 186 Let b(a) be the second derivative of 29*a**6/30 - a**3/2 + a**2 - 57*a. What is the second derivative of b(k) wrt k? 348*k**2 What is the first derivative of -1 + 0 + 1 + 12*n**3 + 3 wrt n? 36*n**2 Let u be (-8 + 12)*2/4. Let t be (-20)/(-9) + 2/(-9). Find the second derivative of -2*y**t - 2*y**2 + 4*y**u - 3*y - 2*y**3 wrt y. -12*y Differentiate 6*l**4 - 13*l**4 + 17*l**4 - 9 wrt l. 40*l**3 Let g(w) = w**4 - 6*w**2 + 1. Let u(l) = -l**2. Let a(s) = -g(s) + 4*u(s). Let r(b) be the first derivative of a(b). Find the second derivative of r(q) wrt q. -24*q Let s be ((-9)/6)/((-12)/16). Suppose 2 = i - s. What is the second derivative of -3*n**5 + n + 2*n**4 - 2*n**i wrt n? -60*n**3 Let v(b) = -5*b**4 + 32*b**3 - 3*b - 29. Let m(l) = 2*l**4 - 11*l**3 + l + 10. Let o(a) = 11*m(a) + 4*v(a). Find the second derivative of o(u) wrt u. 24*u**2 + 42*u Let n(o) = -o**2. Suppose 0 = -2*z + 3*z + 3. Let u(h) = 3*h**5 + 4*h**2. Let a(b) = z*n(b) + u(b). Find the third derivative of a(y) wrt y. 180*y**2 What is the first derivative of 12*j - 10 - 5*j - 11*j wrt j? -4 What is the third derivative of 6*l**6 + 3*l - 13*l**2 + 6*l**2 - 3*l wrt l? 720*l**3 What is the second derivative of -4*y**2 - 9*y - 13*y + 5*y - y wrt y? -8 What is the second derivative of -9*d**4 + 5*d - 19*d + 9*d wrt d? -108*d**2 Find the first derivative of -2 + 0 - 3*l**4 - 3 + 9*l**4 wrt l. 24*l**3 Let t(g) be the first derivative of 19*g**3/3 - 21*g - 14. What is the derivative of t(i) wrt i? 38*i Let k(c) = 4*c - 7*c**2 - c**3 - 5 - 12*c - 2. Let z be k(-6). Find the second derivative of -j + j**z - j + j wrt j. 20*j**3 Let g = 12 - 6. Find the third derivative of -d**2 - g*d**2 + 2*d**5 + 10*d**2 wrt d. 120*d**2 Let k(m) = -2*m**3 - 2*m**2 + 2*m - 4. Let f(a) = -a**3 - 3*a**2 + 3*a - 5. Let w(l) = 2*f(l) - 3*k(l). Differentiate w(j) with respect to j. 12*j**2 Let g(k) be the first derivative of -3*k**4/2 + 12*k + 12. Differentiate g(p) wrt p. -18*p**2 Let g(d) = -d**3 - 2*d - 8. Let b(u) = -15*u**3 - 33*u - 129. Let h(c) = -2*b(c) + 33*g(c). What is the derivative of h(v) wrt v? -9*v**2 Let d be (-18)/(-8) - (-5)/(-20). What is the second derivative of -d*q + 3*q**2 - 2*q - 4*q**2 wrt q? -2 Let m(u) be the third derivative of 3*u**6/40 + u**4/24 - 30*u**2. What is the second derivative of m(a) wrt a? 54*a What is the second derivative of 2*z**3 - 5*z**3 + 8*z**3 - 13*z + 3*z wrt z? 30*z Let d(p) = -p**5 - p**3 - p**2 - 1. Let w(b) = 68*b**5 + 85*b**3 + 85*b**2 + 34*b + 85. Let g(n) = -85*d(n) - w(n). What is the second derivative of g(a) wrt a? 340*a**3 Find the second derivative of s + 5*s**4 + 2*s - s wrt s. 60*s**2 Let g = -2 + 4. Suppose 25 = -t - 4*t, 5*t + 13 = -g*q. What is the first derivative of -1 + d**2 + 6*d - q*d wrt d? 2*d Let d(n) = n**5 - n**3 + n**2. Let k(c) = -3*c**5 + 5*c**3 - 5*c**2 + 3*c. Let l(h) = 5*d(h) + k(h). Find the second derivative of l(t) wrt t. 40*t**3 Find the first derivative of 3*l - 3*l + 3*l + 6 + 2*l wrt l. 5 Let o(w) be the third derivative of -19*w**7/105 - 4*w**3 - 37*w**2. Differentiate o(a) wrt a. -152*a**3 Suppose 5*i - 4 = 6. Let b be (-2)/(-1 + -1)*3. Find the third derivative of -h**4 + 3*h**b - 3*h**3 - 2*h**i wrt h. -24*h Let d(k) be the second derivative of k**3/6 - 4*k. Let x(q) = -3*q**3 - 2*q. Let c(u) = 2*d(u) - x(u). Find the second derivative of c(l) wrt l. 18*l Let h(s) = -s. Let z(a) = -10*a - 21. Let u(c) = 6*h(c) - z(c). Find the first derivative of u(x) wrt x. 4 Find the second derivative of 2*d + 18*d - 6*d**3 + 4*d**3 wrt d. -12*d Let o = 48 - -7. Let g be 2/(-3) - o/(-15). What is the first derivative of 5*y - 5*y - 2*y**g + 3 wrt y? -6*y**2 What is the third derivative of 6*n**3 + 8*n**2 + n**2 + n**2 - 4*n**2 wrt n? 36 Let j(h) be the third derivative of 0*h**4 + 0 + 1/56*h**8 + 0*h**3 + 0*h**6 + 0*h + 0*h**7 - 2*h**2 - 1/30*h**5. What is the third derivative of j(a) wrt a? 360*a**2 Let f(i) = 28*i**2 + 60. Let p(h) = 1. Let q(o) = -f(o) + 20*p(o). What is the derivative of q(x) wrt x? -56*x Suppose 7 = b + 2. Find the second derivative of 2*q**b + 0*q**5 - 4*q**5 - 5*q wrt q. -40*q**3 What is the second derivative of 18*v - 6*v + 3*v**4 + 4*v + 5*v wrt v? 36*v**2 Let z be (-2 - -2)*(-1)/(-2). Let f be -3*(1 + 32/(-12)). What is the third derivative of -w**2 - w**f + z + 0 wrt w? -60*w**2 Let w(s) be the second derivative of 3/2*s**2 - 1/6*s**4 + 2*s + 0 + 0*s**3. Differentiate w(p) wrt p. -4*p Find the second derivative of -4*n + 8*n**4 + 6*n**3 + 9*n**3 - 15*n**3 wrt n. 96*n**2 What is the third derivative of -2*f**3 + 0*f**4 - 3*f**2 + 3*f**4 - 7*f**2 + 9*f**4 - 3*f wrt f? 288*f - 12 Let n(l) be the second derivative of l**6/24 + l**5/60 - 5*l**2 - 6*l. Let v(x) be the first derivative of n(x). What is the third derivative of v(u) wrt u? 30 Let b(o) = o**3 - 2*o**2 + 3*o - 1. Let y be b(2). What is the second derivative of -2*m - 2*m + y*m**2 + 0*m wrt m?
{ "pile_set_name": "DM Mathematics" }
+ 1/4*z**6 + 0 + 1/2*z**2 - n*z**4 - 3*z - 1/12*z**3. Suppose m(x) = 0. What is x? -1, -2/5, 1/3, 1 Let k = 3 - 1. Let g(f) = -13*f + 3*f**2 - 10*f**3 - 7 + 5*f + 6*f**2 - 2. Let x(a) = a**3 - a**2 + a + 1. Let r(u) = k*g(u) + 18*x(u). Factor r(m). -2*m*(m - 1)*(m + 1) Determine w, given that -27/7 - 6*w**3 - 3/7*w**5 + 45/7*w + 6/7*w**2 + 3*w**4 = 0. -1, 1, 3 Let v = 291/2 + -1449/10. Factor -6/5*w**2 + 3/5*w**3 + 0 + v*w. 3*w*(w - 1)**2/5 Suppose 3*d - 3 = 5*y, d - y = 2*d - 9. Let g(j) be the first derivative of -8*j - 1 - 7/2*j**4 + 12*j**2 + d*j**3. Factor g(p). -2*(p - 2)*(p + 1)*(7*p - 2) Let f be 0 + 2 - (-3)/(-18)*8. Determine n, given that -f*n**4 + 2/3*n + 0 + 2*n**3 - 2*n**2 = 0. 0, 1 Let g(n) be the first derivative of n**5/10 - 33. Suppose g(u) = 0. Calculate u. 0 Let v(a) be the first derivative of a**4/3 + 5*a**3/9 - 11*a**2/12 + a/3 - 9. Factor v(r). (r + 2)*(2*r - 1)*(4*r - 1)/6 Let n(q) be the third derivative of -q**8/84 + 5*q**7/42 - 11*q**6/60 - q**5/3 + 13*q**4/12 - 5*q**3/6 + 34*q**2. Suppose n(c) = 0. Calculate c. -1, 1/4, 1, 5 Suppose 5*x + 1 - 11 = 0. Factor s**2 - 4*s - x*s + 2*s**2 - s**2 + 4. 2*(s - 2)*(s - 1) Let d(y) = 5*y**2 + 48*y - 83. Let a(m) = 2*m**2 + 16*m - 28. Let h(q) = 11*a(q) - 4*d(q). Factor h(t). 2*(t - 6)*(t - 2) Let x = -503 + 3522/7. Solve x*a + 0 + 4/7*a**2 = 0. -1/4, 0 Let r(b) = 2*b**3 - 24*b**2 - 28*b + 29. Let i be r(13). Let w = 54 - 269/5. Factor -6/5*y**2 - 4/5*y**i - w - 4/5*y - 1/5*y**4. -(y + 1)**4/5 Solve -7*c**2 + 6*c**2 + 4*c**3 - 2*c**3 + 2*c**2 - c**4 - 2*c = 0 for c. -1, 0, 1, 2 Suppose -4*x = x. Suppose x*v = -v. Factor 1/4*r**3 - 1/4*r + v + 0*r**2. r*(r - 1)*(r + 1)/4 Suppose 6 = -2*q - 2*h, 5*q - 5*h - 10 = 5. Factor q*v**2 + 0 + 2/11*v - 2/11*v**3. -2*v*(v - 1)*(v + 1)/11 Let c(y) be the second derivative of y**10/45360 - y**9/22680 - y**8/10080 + y**7/3780 - y**4/3 + 4*y. Let h(f) be the third derivative of c(f). Factor h(w). 2*w**2*(w - 1)**2*(w + 1)/3 Let f(g) be the first derivative of 10*g**3/3 - 13*g**2 - 12*g - 5. Factor f(j). 2*(j - 3)*(5*j + 2) Suppose -300 = -3*f + 13*f. Let n = f + 32. Let 2/9*a**n - 2/9 + 0*a = 0. What is a? -1, 1 Let n = -4 - -6. Factor -1 - 5*u - n*u**3 + 5*u + 2*u + u**4. (u - 1)**3*(u + 1) Let w be ((-16)/6)/(68/(-30)). Let b = 131/68 - w. Factor 3/4 + 3/4*z - 3/4*z**3 - b*z**2. -3*(z - 1)*(z + 1)**2/4 Let i(q) be the third derivative of -7*q**6/120 - 2*q**5/5 - q**4/2 + q**3/2 - 6*q**2. Let p(c) be the first derivative of i(c). Factor p(a). -3*(a + 2)*(7*a + 2) Let i(x) be the third derivative of x**6/60 - x**5/2 + 21*x**4/4 - 49*x**3/3 - 48*x**2. Factor i(w). 2*(w - 7)**2*(w - 1) Factor -8/3*a**3 + 2/3*a + 0 - 1/3*a**2 - 5/3*a**4. -a*(a + 1)**2*(5*a - 2)/3 Let x(s) = -2*s**3 + 18*s**2 + 3*s - 23. Let l be x(9). Let 2*i - 3/2*i**3 + l*i**2 + 0 - 9/2*i**4 = 0. Calculate i. -2/3, 0, 1 Suppose 0 = 5*o + c - 23, 5*o - 24 = 2*o - 4*c. Let 0 - 2*l**2 + 4/3*l**3 + 2*l**o - 4/3*l = 0. Calculate l. -1, -2/3, 0, 1 Let g(k) = 10*k**5 - 15*k**3 + 5*k + 5. Let j(d) = 9*d**5 - d**4 - 14*d**3 + 4*d + 4. Let p(z) = 4*g(z) - 5*j(z). Find w such that p(w) = 0. -1, 0, 2 Let v(m) be the first derivative of 1/8*m**2 - 5/24*m**3 + 7/48*m**4 - 3 - 3/80*m**5 - 2*m. Let q(b) be the first derivative of v(b). Factor q(o). -(o - 1)**2*(3*o - 1)/4 Let d be 1/(-240)*(-1)/1. Let r(a) be the third derivative of 0 + 2*a**2 - d*a**6 + 0*a**4 + 0*a**5 - 1/168*a**7 + 0*a + 0*a**3. Find f such that r(f) = 0. -2/5, 0 Let d(t) = -34*t**4 - 104*t**3 - 102*t**2 - 10*t + 16. Let n(x) = 35*x**4 + 104*x**3 + 101*x**2 + 9*x - 16. Let w(q) = -7*d(q) - 6*n(q). What is f in w(f) = 0? -2, -1, 2/7 What is s in -10/3*s - 4 + 2/3*s**2 = 0? -1, 6 Factor 8/5*o + 0 + 4/5*o**2. 4*o*(o + 2)/5 Let s(j) be the second derivative of 1/6*j**3 + 2/3*j**4 + 0*j**2 + 4*j + 0 + 49/120*j**6 + 77/80*j**5. Factor s(q). q*(q + 1)*(7*q + 2)**2/4 Let p be (-4)/(-2) - 13/1. Let c be (1 - -1)/((-8)/p). Let 1/2 - 7/4*a**3 + 4*a**2 - c*a = 0. What is a? 2/7, 1 Suppose 3*a - 11 = 8*a - o, 3*a - 5*o - 11 = 0. Let n be 36/8*(-2)/a. Solve 0*v - 1/3*v**n + 0 + 0*v**2 + 1/3*v**4 = 0. 0, 1 Let c(k) be the second derivative of -1/2*k**2 - 1/270*k**5 - k - 1/27*k**4 - 4/27*k**3 + 0. Let w(s) be the first derivative of c(s). Factor w(h). -2*(h + 2)**2/9 Let -5*h**3 + 10*h**3 - h - 1 + 4*h + 9*h**2 = 0. Calculate h. -1, 1/5 Let r = -8 - -10. Let h(x) be the second derivative of 0 + 1/10*x**5 + 0*x**2 - 1/3*x**3 + 1/10*x**6 - 1/4*x**4 + r*x. Factor h(p). p*(p - 1)*(p + 1)*(3*p + 2) Let z be ((-9)/12)/(6/(-16)). Find p such that -3*p**2 - p**2 - 3*p**3 + 5*p**2 - 3*p**z - 3*p**5 + 8*p**4 = 0. -1/3, 0, 1, 2 Let j be 12/(-30) - 4/(-10). Let w(n) be the third derivative of 0 + 0*n**3 + j*n - 2*n**2 + 1/168*n**4 + 1/420*n**5. Solve w(u) = 0. -1, 0 Let h(x) = 5*x**2 - 5. Let w(a) = -4*a**2 + 4. Let o(k) = -k**2 - k + 3. Let z be o(0). Let s(m) = z*w(m) + 2*h(m). Solve s(y) = 0 for y. -1, 1 Let b(w) be the second derivative of 0 - 1/84*w**4 + 6*w - 1/7*w**2 + 1/14*w**3. Find h such that b(h) = 0. 1, 2 Suppose -18*q + 0*q**2 - 8*q**2 + 9*q**2 - 4*q + 121 = 0. Calculate q. 11 Let t be (288/(-56))/12*2/(-3). Suppose 0*a + t*a**3 - 2/7*a**5 + 0 - 4/7*a**2 + 4/7*a**4 = 0. Calculate a. -1, 0, 1, 2 Let u(n) be the second derivative of n**4/20 + 8*n**3/5 + 96*n**2/5 - 10*n. Factor u(k). 3*(k + 8)**2/5 Let s be 10 - 6 - 5 - 11/(-7). Factor -s + 6/7*y - 2/7*y**2. -2*(y - 2)*(y - 1)/7 Suppose -2*j + 38 = -4*b, 5*j - 4*j = 1. Let f(l) = l**2 + 7*l - 16. Let o be f(b). Let 14/3*h**o - 8/3 - 16/3*h + 10/3*h**3 = 0. Calculate h. -2, -2/5, 1 Let r(z) be the first derivative of 4*z**5/5 + 4*z**4 + 16*z**3/3 - 12. Factor r(k). 4*k**2*(k + 2)**2 Let p(d) be the second derivative of -d**5/20 - d**4/3 - 5*d**3/6 - d**2 - 6*d. Solve p(o) = 0 for o. -2, -1 Let y(n) be the first derivative of -n**4/5 + 16*n**3/15 + 2*n**2/5 - 16*n/5 - 55. Let y(i) = 0. Calculate i. -1, 1, 4 Factor 4/7*o**3 + 4/7*o**2 - 20/7*o + 12/7. 4*(o - 1)**2*(o + 3)/7 Let j be (-6)/(-8)*(-6 + 2). Let r = 5 + j. Factor -4/7 - 2/7*y**r - 6/7*y. -2*(y + 1)*(y + 2)/7 Suppose -4 + 34 = 5*o. Let r(i) be the third derivative of 1/132*i**4 + 0 - 2*i**2 + 0*i + 0*i**3 + 1/660*i**o - 1/165*i**5. Let r(w) = 0. Calculate w. 0, 1 Suppose -2*a - 2 = -5*i + 2*a, 0 = -2*i + 4*a - 4. Suppose -i = 2*y + 4*d - 0, y - 2*d - 7 = 0. Factor 0 - 1/2*l**4 - 3/2*l**2 - 3/2*l**y - 1/2*l. -l*(l + 1)**3/2 Solve -12/17 + 2/17*o**2 + 10/17*o = 0. -6, 1 Let c(s) = 4*s**3 + 2*s**2 + 3*s - 3. Let n(a) = 3*a**3 + 2*a**2 + 2*a - 2. Let q(u) = -2*c(u) + 3*n(u). Find x, given that q(x) = 0. -2, 0 Let r(z) = z**2 - z + 1. Let g(t) = -10*t - 6. Let f(i) = -g(i) + 2*r(i). Determine v, given that f(v) = 0. -2 Let x(q) be the third derivative of -8*q**2 + 1/120*q**6 + 0*q**3 + 0*q + 0 - 1/30*q**5 + 1/24*q**4. Factor x(p). p*(p - 1)**2 Factor -3/4*l - 5/4*l**3 + 1/4*l**4 + 7/4*l**2 + 0. l*(l - 3)*(l - 1)**2/4 Let u(w) be the second derivative of -w**6/60 + w**4/8 + w**3/6 + 4*w. Find h such that u(h) = 0. -1, 0, 2 Let u(o) be the first derivative of -o**7/315 - o**6/180 - 2*o**2 - 4. Let t(s) be the second derivative of u(s). Factor t(n). -2*n**3*(n + 1)/3 Let m(t) = t. Let g(u) = -40*u**2 + 20*u - 12. Let n(a) = 16*a**2 - 8*a + 5. Let w(b) = -5*g(b) - 12*n(b). Let r(y) = 4*m(y) + 2*w(y). What is l in r(l) = 0? 0, 1/4 Let f(l) be the second derivative of 1/42*l**4 - 1/7*l**2 + 0*l**3 + 0 + 2*l. Factor f(k). 2*(k - 1)*(k + 1)/7 Let y = -119 - -361/3. Let w be 8/3 + 1/3. Factor -4/3 + 2*p + y*p**2 - 2*p**w. -2*(p - 1)*(p + 1)*(3*p - 2)/3 Let p(n) be the first derivative of 0*n**2 + 0*n + 4 - 2/3*n**3. Factor p(q). -2*q**2 Let l(o) be the third derivative of -o**8/840 + o**6/150 - o**4/60 - 15*o**2. Factor l(h). -2*h*(h - 1)**2*(h + 1)**2/5 Let u(b) be the first derivative of -3*b**4/4 + b**3 + 3*b**2 + 1. Suppose u(d) = 0. What is d? -1, 0, 2 Let c(m) be the first derivative of -m**4/54 - m**3/9 - 2*m**2/9 + 2*m - 2. Let r(d) be the first derivative of c(d). Factor r(w). -2*(w + 1)*(w + 2)/9 Let b(i) = -i**3 + 32*i**2 - 28*i - 91. Let h be b(31). Let -3/2*k - 1 - 1/2*k**h = 0. What is k? -2, -1 Let w be (-1*0/3)/(-3). Let n(s) be the first derivative of w*s + 4/9*s**3 - 1/6*s**2 - 1. Solve n(k) = 0 for k. 0, 1/4 Let d = 16 -
{ "pile_set_name": "DM Mathematics" }
00 Round 45302.438 to the nearest one hundred. 45300 What is -101884286.4 rounded to the nearest one thousand? -101884000 Round -3780.88979 to 0 decimal places. -3781 What is -0.0112604593 rounded to three decimal places? -0.011 What is 0.01610334288 rounded to 3 decimal places? 0.016 Round 0.0000017596471 to seven decimal places. 0.0000018 What is 0.000081996816 rounded to five decimal places? 0.00008 Round 0.523835464 to three decimal places. 0.524 What is -787694583 rounded to the nearest one million? -788000000 What is -1583749.34 rounded to the nearest 10000? -1580000 What is -0.00228592198 rounded to 7 dps? -0.0022859 What is 0.774316603 rounded to two decimal places? 0.77 Round -0.02514568394 to four decimal places. -0.0251 What is -15401.434 rounded to the nearest ten? -15400 Round 7642368170 to the nearest 1000000. 7642000000 Round 9904.30591 to the nearest one hundred. 9900 What is 0.00000334820298 rounded to seven dps? 0.0000033 What is 0.00070078119 rounded to 4 dps? 0.0007 Round -212.3136538 to the nearest 10. -210 Round 0.01437622192 to two decimal places. 0.01 What is 0.03689525737 rounded to 3 decimal places? 0.037 What is -1046467.55 rounded to the nearest one hundred thousand? -1000000 What is 0.616851673 rounded to 3 dps? 0.617 What is 9.502355 rounded to 2 dps? 9.5 What is -0.00000509497747 rounded to seven dps? -0.0000051 What is -652490.42 rounded to the nearest one hundred thousand? -700000 What is 0.00007878891 rounded to seven dps? 0.0000788 Round -368206260 to the nearest one hundred thousand. -368200000 Round 0.000525994894 to seven dps. 0.000526 What is 1673643.914 rounded to the nearest 100000? 1700000 What is -336.349177 rounded to 1 dp? -336.3 Round -0.006005467863 to 6 dps. -0.006005 Round 0.0178607414 to four dps. 0.0179 What is 38.1376554 rounded to 2 dps? 38.14 What is 0.002924231874 rounded to four decimal places? 0.0029 What is 0.0051993047 rounded to four decimal places? 0.0052 What is -0.0007986867561 rounded to seven decimal places? -0.0007987 What is -0.45023674 rounded to two dps? -0.45 What is 4303536.705 rounded to the nearest one thousand? 4304000 What is -16529119.5 rounded to the nearest ten thousand? -16530000 What is -24090205.34 rounded to the nearest 1000000? -24000000 What is -2993810.943 rounded to the nearest 100000? -3000000 Round 0.00442936855 to six decimal places. 0.004429 Round 3055274.21 to the nearest ten thousand. 3060000 What is 2359974 rounded to the nearest one hundred thousand? 2400000 Round 89.9269336 to 1 dp. 89.9 Round -2.4212552 to one decimal place. -2.4 Round -8059721 to the nearest one million. -8000000 Round 0.090454148 to three decimal places. 0.09 Round 5959.05268 to the nearest one hundred. 6000 What is 0.03046842375 rounded to six dps? 0.030468 Round 80732.246 to the nearest 10. 80730 Round 97.396129 to zero dps. 97 What is 1.15955879 rounded to 2 decimal places? 1.16 Round 1.264736682 to 2 decimal places. 1.26 Round -3709983.1 to the nearest 10000. -3710000 What is 0.145045552 rounded to 3 dps? 0.145 What is -263.65236949 rounded to 1 decimal place? -263.7 Round -0.039406285 to 4 dps. -0.0394 Round -394051.83 to the nearest one hundred thousand. -400000 Round 0.86765299 to 3 decimal places. 0.868 What is 18834462.4 rounded to the nearest one hundred thousand? 18800000 What is 9457.2352 rounded to the nearest 10? 9460 Round -94.66617 to the nearest 10. -90 Round -1373190.37 to the nearest ten thousand. -1370000 What is -0.000095036727 rounded to six decimal places? -0.000095 Round -22149.56503 to the nearest 100. -22100 What is 156029.02 rounded to the nearest 10000? 160000 Round 750403.71 to the nearest 100. 750400 Round -32.5619589 to 3 dps. -32.562 Round 2457.086583 to the nearest integer. 2457 Round 0.00002936563821 to seven dps. 0.0000294 What is -2100.28677 rounded to the nearest ten? -2100 Round 0.00000008131903 to seven dps. 0.0000001 Round -1232.0777873 to the nearest 10. -1230 Round 1160.070288 to one dp. 1160.1 What is 2222.440376 rounded to the nearest integer? 2222 Round -2008910.29 to the nearest 10000. -2010000 Round 2136521.2608 to the nearest 10. 2136520 What is -0.008497096918 rounded to six dps? -0.008497 Round -0.06056783739 to 4 decimal places. -0.0606 Round -0.00031579582 to seven dps. -0.0003158 Round 163787.25286 to the nearest 10000. 160000 What is -41283733.95 rounded to the nearest one million? -41000000 What is 362336.984 rounded to the nearest 10000? 360000 What is -293.980879 rounded to the nearest 100? -300 What is -96856.1056 rounded to the nearest 1000? -97000 What is 0.065813822 rounded to 2 dps? 0.07 What is 1381182.484 rounded to the nearest ten thousand? 1380000 What is -387.889223 rounded to the nearest ten? -390 Round -5.5312005 to two decimal places. -5.53 What is 0.005384369 rounded to two decimal places? 0.01 What is -4.47653699 rounded to 3 decimal places? -4.477 Round 0.000035208236 to 6 dps. 0.000035 What is 8001241.66 rounded to the nearest 1000? 8001000 Round 0.1901536661 to 4 dps. 0.1902 Round 0.0105867896 to five dps. 0.01059 Round -523955680 to the nearest 100000. -524000000 What is -0.001483151102 rounded to 5 dps? -0.00148 What is -0.109206035 rounded to two dps? -0.11 What is 2060063.312 rounded to the nearest 100? 2060100 Round -2780402.985 to the nearest ten thousand. -2780000 Round 0.0567865963 to 5 decimal places. 0.05679 Round -10.07865 to the nearest integer. -10 Round -212261587 to the nearest one hundred thousand. -212300000 What is 0.169087595 rounded to 3 dps? 0.169 Round -130536.744 to the nearest one thousand. -131000 Round -53082286 to the nearest 10000. -53080000 What is -0.00001290036111 rounded to six dps? -0.000013 Round -0.00163369744 to 6 decimal places. -0.001634 Round 0.007788726273 to three decimal places. 0.008 Round 4695.5367 to the nearest 1000. 5000 Round 0.00027808105 to six dps. 0.000278 What is -26994.1307 rounded to the nearest 10000? -30000 Round 0.00000799059729 to 6 decimal places. 0.000008 Round 3844177280 to the nearest 100000. 3844200000 Round -0.0004802200533 to 6 decimal places. -0.00048 Round 40.8202079 to 1 dp. 40.8 Round -0.00604347053 to 5 decimal places. -0.00604 What is -417.716246 rounded to 0 dps? -418 Round -11269.93102 to the nearest one thousand. -11000 Round -1848103.702 to the nearest one thousand. -1848000 Round 1.85841578 to one dp. 1.9 Round -0.0007468529 to five decimal places. -0.00075 What is 0.0000653388467 rounded to 6 decimal places? 0.000065 Round -0.252940205 to 1 dp. -0.3 What is 0.0002454411671 rounded to five dps? 0.00025 What is -0.000258780508 rounded to five decimal places? -0.00026 What is 0.0170772793 rounded to 5 decimal places? 0.01708 Round 0.000078353655 to six decimal places. 0.000078 Round 0.0314991883 to four decimal places. 0.0315 What is -874554.642 rounded to the nearest 100000? -900000 Round 0.0000570590728 to five dps. 0.00006 Round -2.941072899 to one decimal place. -2.9 Round -0.771223788 to 2 dps. -0.77 Round 55.77551825 to 0 decimal places. 56 What is 31109.628 rounded to the nearest 10000? 30000 What is -128206.899 rounded to the nearest one hundred? -128200 What is 0.00071238208 rounded to seven decimal places? 0.0007124 Round -623.2285028 to 0 dps. -623 Round -8.5299364 to one decimal place. -8.5 What is 0.01175567781 rounded to 3 decimal places? 0.012 Round -1755.7904 to the nearest 1000. -2000 Round 0.000422080168 to 7 dps. 0.0004221 What is 90387.633 rounded to the nearest 10000? 90000 What is -0.085411019 rounded to four dps? -0.0854 Round 34.3413371 to 3 decimal places. 34.341 Round 7.80519982 to the nearest integer. 8 Round 63398.242 to the nearest 10000. 60000 Round -4843.872746 to the nearest 10. -4840 Round -211851.772 to the nearest ten. -211850 Round 0.000155670914 to 5 dps. 0.00016 Round -3753.8344 to the nearest one hundred. -3800 What is 0.049091098 rounded to two decimal places? 0.05 Round -0.9849179 to the nearest integer. -1 What is -439.3989641 rounded to 2 decimal places? -439.4 Round -0.010584166867 to six dps. -0.010584 What is 62.2240188 rounded to one decimal place? 62.2 What is 1380238.607 rounded to the nearest 100? 1380200 Round -2.627065024 to 4 decimal places. -2.6271 Round -0.000829730391 to 7
{ "pile_set_name": "DM Mathematics" }
) = x**2. Give j(g(w)). 19*w**2 Let y(h) = 36*h**2. Let l(b) be the second derivative of -b**4/6 + 7*b. Determine l(y(i)). -2592*i**4 Let k(u) = 2*u. Let q(f) = -1 - 15*f - 11*f + 22*f. Determine q(k(i)). -8*i - 1 Let l(b) = -2422*b**2. Let c(d) = 2*d. Calculate c(l(z)). -4844*z**2 Let x(c) be the third derivative of -c**5/30 - c**2. Let s(w) be the third derivative of w**4/6 - 46*w**2. Give x(s(m)). -32*m**2 Let v(z) = 2*z**2. Let y = 30 + -28. Let s(n) = -2*n**2 + 2*n**2 + 3*n**2 - 6*n**y. Give s(v(w)). -12*w**4 Let s(j) = -2*j**2. Let l(b) = -9*b**2 - 8. Let r(f) = -f**2 - 1. Let h(i) = -l(i) + 4*r(i). Let c(a) be the first derivative of h(a). Determine s(c(d)). -200*d**2 Let m(u) be the first derivative of 2*u**3/3 - 1. Let j = 149 + -82. Let s(k) = -k**2 - 67*k + 2*k**2 + j*k. What is m(s(v))? 2*v**4 Let d(w) = 3*w. Let c(s) = -2*s - 737. Calculate d(c(z)). -6*z - 2211 Let v(d) be the first derivative of -d**2 - 7. Let o = 3 + -1. Let b(p) = o*p - 5*p + 4*p. Determine b(v(a)). -2*a Let p(r) = -3*r**2. Let g(v) = -9649*v**2. Determine p(g(z)). -279309603*z**4 Let k(m) = m. Let l(h) = 493*h. Determine l(k(g)). 493*g Let i(r) = -6*r**2 + 3*r**2 + 4*r**2. Let g(h) = -4*h. What is i(g(o))? 16*o**2 Let u(z) = -15*z**2 + 3. Let b(q) = -15*q**2 + 2. Let l(h) = -3*b(h) + 2*u(h). Let k(a) = -2*a**2. What is k(l(x))? -450*x**4 Let r(w) = 2*w. Let g(d) = 142*d**2 - 5*d. What is r(g(s))? 284*s**2 - 10*s Let q(x) be the second derivative of -1/3*x**3 - 15*x + 0 + 0*x**2. Let i(m) = 6*m - 5. Let y(w) = -w + 1. Let n(s) = -i(s) - 5*y(s). What is n(q(a))? 2*a Let f(m) = -m**2. Let d(p) be the second derivative of 0*p**3 + 0 + 1/8*p**4 - p**2 - 2*p. Let h(j) be the first derivative of d(j). Calculate h(f(r)). -3*r**2 Let f(y) = -3*y + 4. Let v(c) = -c + 2. Let d(b) = f(b) - 2*v(b). Let s(q) = -28*q. What is s(d(l))? 28*l Let r(m) = 2*m**2. Let j(q) = 5*q. Let w be j(-1). Let h be (2/w)/((-2)/80). Let f(o) = -h - 2*o + 16. Determine f(r(b)). -4*b**2 Let c(l) = -4*l**2. Let w(n) = 5*n**2 + 4*n. Let s(i) be the first derivative of -i**3/3 - i**2/2 + 5. Let x(j) = -4*s(j) - w(j). Give c(x(f)). -4*f**4 Let s(f) = 420*f - 2. Let y(t) = -7*t. What is s(y(h))? -2940*h - 2 Let k(n) = -413*n**2. Let z(y) = y**2. Give z(k(x)). 170569*x**4 Let f(v) = -2*v**2. Let l(j) = -j + 34. Give l(f(z)). 2*z**2 + 34 Let f(z) = 4*z - 19. Let s(o) = o**2. Give s(f(d)). 16*d**2 - 152*d + 361 Let m(g) = g**2. Let f(u) be the second derivative of -u**3/3 + u. Let o(v) = -7*v. Let c be (13 - 2)/(1/(-2)). Let s(p) = c*f(p) + 6*o(p). Give m(s(t)). 4*t**2 Let q(y) = -9*y**2 + 7*y + 7. Let h = 23 - -5. Let s(l) = -l**2 + l + 1. Let j(p) = h*s(p) - 4*q(p). Let z(i) = 2*i. Give z(j(a)). 16*a**2 Let r(k) be the first derivative of -k**2 - 18. Let a(l) = 11*l. Determine r(a(o)). -22*o Let k(o) = o**2. Suppose -7 = -4*u + 1. Suppose -4*r + 19 = 2*p - 3, -5*p + u*r + 19 = 0. Let b(m) = -2*m - 5 + p. What is k(b(c))? 4*c**2 Let n(f) = 2*f**2 - 2 - 5 + 7. Let r(o) = 3*o. Calculate n(r(t)). 18*t**2 Let d(z) be the third derivative of 0 + 0*z + z**2 + 0*z**3 - 1/24*z**4. Let w(r) = 5*r. What is w(d(a))? -5*a Let b(c) = c**2. Let q(j) = 46*j**2 - 2*j. Determine b(q(l)). 2116*l**4 - 184*l**3 + 4*l**2 Let y(v) = 96*v**2 - 24. Let r(w) = -19*w**2 + 5. Let t(x) = 24*r(x) + 5*y(x). Let a(d) = d**2. What is t(a(g))? 24*g**4 Let w(s) = 4*s. Let t(j) = -144*j. What is w(t(o))? -576*o Let t(u) = -5*u. Let z(o) = 5*o. Let d(j) = 4*j. Let x(m) = -7*d(m) + 6*z(m). Calculate x(t(h)). -10*h Let d(f) = 109*f**2. Let y(c) = c + 1. Let o(l) = -3*l - 2. Let n(u) = o(u) + 2*y(u). Calculate n(d(w)). -109*w**2 Let y(m) be the third derivative of -m**5/3 - 7*m**2. Let f(c) = c**2. Calculate f(y(i)). 400*i**4 Let g(o) = 7*o**2. Let t(y) = -12*y**2. Determine g(t(a)). 1008*a**4 Let o(z) = 3*z. Let j(p) = -p + 8. Let h be j(6). Let d(g) be the third derivative of 1/60*g**5 + 0*g**3 + g**h + 0*g + 0*g**4 + 0. Determine d(o(t)). 9*t**2 Let m(b) = 2*b**2 - 6. Let z(h) = -2*h**2 + 7. Let t(k) = -7*m(k) - 6*z(k). Let s(d) = 2*d - 6. Let w(v) = -1. Let a(f) = s(f) - 6*w(f). Determine t(a(o)). -8*o**2 Let d(i) be the first derivative of i**3/3 - 2*i + 2. Let t(k) be the first derivative of d(k). Let u(p) = 59 + 2*p - 29 - 30. Give u(t(f)). 4*f Let x(r) = 5*r - 3. Let a(s) = 5*s - 3. Let i(h) = -6*a(h) + 5*x(h). Let z(c) = 5*c - 2. Let t(w) = -2*i(w) - 3*z(w). Let k(n) = -2*n**2. Calculate t(k(j)). 10*j**2 Let r(u) = -u**2 - 2*u - 2. Let t(s) = -8 - 13*s - 2*s**2 - 4*s**2 - 5. Suppose 5*l = 5 - 35. Let d(m) = l*t(m) + 39*r(m). Let i(b) = 2*b. Give d(i(o)). -12*o**2 Let v(c) = -12*c. Let p(q) be the third derivative of -q**5/60 - 4*q**2. Calculate p(v(w)). -144*w**2 Let t(b) = 3*b. Let o(z) = -8*z. Let l(r) = -4*o(r) - 11*t(r). Let p(n) = -24 + 24 + 5*n. Determine l(p(y)). -5*y Let q(z) = -4*z. Let g(l) be the third derivative of -4*l**2 - 1/30*l**5 + 0*l**4 + 0*l**3 + 0 + 0*l. Give g(q(x)). -32*x**2 Let l(q) = q**2. Let p(m) = -293*m - 1. Determine p(l(f)). -293*f**2 - 1 Let b(q) = 2*q. Let a(w) = -w - 6. Let r(p) = 15. Let j(c) = c + 1. Let h(m) = -2*j(m) - r(m). Let t(k) = -17*a(k) + 6*h(k). Give t(b(n)). 10*n Let g(d) be the second derivative of -d**3/3 + 16*d. Let f(n) = -151*n**2. What is g(f(c))? 302*c**2 Let u(k) = -k. Let w(a) = -2*a**2 + a. Let f(c) = u(c) + w(c). Let q(n) = -6*n. Give f(q(m)). -72*m**2 Let n(k) be the first derivative of -3/2*k**2 + 0*k + 2. Let i(x) = x - 1. Let t(b) = -3*b + 2. Let v(l) = -2*i(l) - t(l). Calculate n(v(r)). -3*r Let r(p) be the third derivative of -p**4/24 - 19*p**2. Let f(q) be the third derivative of -5*q**4/24 - q**2. Determine f(r(v)). 5*v Let j(q) be the first derivative of -2 - 1/2*q**2 + 0*q. Let h(d) = -d**2 + d. Let r(x) = -x. Let z(i) = -2*h(i) - 2*r(i). Calculate z(j(a)). 2*a**2 Let p(m) = 10*m. Let b(f) = 11*f. Determine p(b(t)). 110*t Let x(g) = -25*g. Let b(k) = 17*k + 11. Give x(b(j)). -425*j - 275 Let k(y) = 50*y. Let d(b) = -5*b. Give k(d(u)). -250*u Let i(n) = -2*n. Let s(g) = 4 - 3 - 3 + 101*g. Give s(i(j)). -202*j - 2 Let y(u) = 6*u. Let p(k) = -7*k + 60. Give p(y(h)). -42*h + 60 Let l(k) = -2*k. Let c(r) = r**2 + 38*r - 19. Calculate l(c(h)). -2*h**2 - 76*h + 38 Let z(o) = 150*o**2 - 63*o**2 - 73*o**2. Let t(a) = 3*a**2. Give z(t(l)). 126*l**4 Let x(z) = -z. Suppose 7*i = 4 + 17. Let o(m) be the second derivative of 0*m**i - 5/12*m**4 + 0 + 2*m + 0*m**2. What is o(x(l))? -5*l**2 Let i(f) = -6*f**2. Let o(q) = -29 - 3*q**2 + 17 + 12. Give i(o(z)). -54*z**4 Let w(x) = 2*x**2 - 3. Let c(h) = -h**2 + 2. Let a(s) = 3*c(s) + 2*w(s). Let p(k) = 0 + 6*k + 0. What is a(p(b))? 36*b**2 Let t(k) = -25*k**2. Let q(g) = -g + 39. Calculate t(q(n)). -25*n**2 + 1950*n - 38025 Let v(n) be the second derivative of n**3/6 - 2*n. Let j(c) = -2*c. Let z(q) = 2*q - q + 0*q. Let y(i) = 6*j(i) + 15*z(i). Determine y(v(u)). 3*u Let i(f) = f. Let c(z) = 4*z**2 - 5*z. Let g be 4/(-14) - 33/7. Let w be 1*g*(3 - 2). Let t(s) = -10*s**2 + 12*s. Let n(r) = w*t(r) - 12*c(r). Give i(n(l)). 2*l**2 Let w(x) = -x. Let r(m) = 3*m**2 - 10*m. What is r(w(g))? 3*g**2 + 10*g Let j(s) = -s**2 - 6*s - 6. Let a(f) = 2*f**2 + 11*f + 11. Let b(v) = 6*a(v) + 11*j(v). Let y(x) = -7*x. Calculate y(b(g)). -7*g**2 Let w(o) = -12*o**2 - 11*o. Let i(k) = -k**2 - k. Let b(c) = -22*i(c) + 2*w(c). Let l(q) be the first derivative of -1 + 0*q**2 + 0*q + 2/3*q**3. Give l(b(r)). 8*r**4 Suppose -6 = -6*o + 4*o. Let p(n) = -3*n + 3*n + o*n - 4*n. Let j(a) = -2*a. What is p(j(y))? 2*y Suppose -125 = -5*k - 35. Let o(q) = -1. Let x(d) = 3*d + 18. Let t(b) = k*o(b) + x(b). Let v(u) = 2*u**2. Calculate v(t(w)). 18*w**2 Let b(x) = x - 6. Let q(s) = 1. Let j(w) = -b(w) - 6*q(w). Let t = -1 + 1. Let u(d) = 0 - 3*d + t. Give j(u(f)). 3*f Let h(o) = -1068*o. Let l(m) = 2*m. Calculate h(l(x)). -2136*x Let c(h) be the first derivative of -2*h**3/3 - 3. Let w(v) = -4*v. Calculate c(w(y)). -32*y**2 Let x(u) = u. Let t(p) = 1. Let z(o) = -3*o - 2. Suppose -3 = -2*c - 1. Let f(n) = c*z(n) + 2*t(n). What is x(f(w))? -3*w Suppose -5*a = -0*a - 10. Let o(u) = -9*u**2 - 5*u**2 + 24*u**a - 9*u**2. Let x(q) = q**2 - q**2 + 4*q**2. Give o(x(n)). 16*n**4 Let a(u) = -u**2. Let s(z) = -z. Let w(v) = -v. Let f(p) = -10*s(p) + 4*w(p). Let m(k) = -5*k
{ "pile_set_name": "DM Mathematics" }
be u(-7). Let m = 9 + -5. Solve 4*w - w + 13 = -2*x, m*w + n = 4*x for x. -2 Let o = -36 + 38. Solve 5*y + o*w = 27, 3*y - 3 = -5*w + 17 for y. 5 Let r be (-4)/20 - (-82)/10. Solve -2*q + 8 = 4*i, -i - 4*q = i + r for i. 4 Suppose 3*c = -4*u + 115, 0 = -5*c - u - 78 + 281. Solve -2*z - 8 = 0, -o + 6*o - 4*z = c for o. 5 Suppose q + 4*q - 15 = 0. Let n = -23 + 25. Suppose -4*z + 85 = q*u, n*z + 50 = 2*u + 3*z. Solve -2*s = 2, 0*a = 4*a + 3*s + u for a. -5 Suppose 0 = c - 3*c. Let q = 2 - c. Let r(o) = o**2 - o. Let h be r(q). Solve -2*v - 6 = -h*j + 2*v, 5*v - 10 = -j for j. 5 Let u be (-18)/(-81) - (151/(-9))/1. Solve y = -v + 4, 4*v + 5*y = -0*v + u for v. 3 Let p(o) be the second derivative of -1/2*o**2 - 2*o + 0 + 1/6*o**3. Let k be p(5). Solve k*w - 11 = -l, 3*w + 13 = l - 6*l for w. 4 Let r = -1 + 12. Let f = -6 + r. Let h be 9*1*6/2. Solve -x - f*l + h = 0, 3*x - 5*l + 3*l + 4 = 0 for x. 2 Let f(b) = 6*b**2 + 9*b + 14. Let z be f(-2). Solve -5*p = -3*l + 6, 3*p + 3*l = 2 - z for p. -3 Let v = -55 + 58. Solve w - v*w - 5*d - 26 = 0, 4*w = 5*d + 8 for w. -3 Let q = -3 - -6. Solve 0 = 3*g - q, -3*c - 10 = -4*g + 9 for c. -5 Let c be 0/2 + 9 + (53 - 51). Solve 0 = 2*t - 5*a - 7, t - c = 5*a for t. -4 Suppose -f - 1 - 1 = 0. Let w be 0*(0 + 1/f). Let k be (-2 - -2) + 4 + 8. Solve w = 2*t - 3*l + 7, t + 5*l + k = 2 for t. -5 Let a be 20/(-6)*12/10. Let h be 0/5 - (a - 0). Suppose 56 = 8*f - h*f. Solve 5*d - 2*o = d - f, 4*o - 12 = 0 for d. -2 Let l be (-2)/(-1) + (0 - 0). Let j(w) = w**3 + 3*w**2 + 2*w + 2. Suppose -g + 6*g + 10 = 0. Let d be j(g). Solve -d*v + 6 = 3*c, c + 4*v + l - 4 = 0 for c. 2 Let y be 0 + 0 + 3 + -5. Let a be 1/(y - (-27)/12). Suppose -4*z = p + a*p - 58, 2*p - 30 = -2*z. Solve 5*m + s - 3 = z, 5 = s for m. 3 Let p be (3 - 2)*1*1. Let d(q) = -6*q + 2. Let r(b) = -7*b + 3. Let h(l) = -3*d(l) + 2*r(l). Let w be h(p). Solve 5*k = -3*x + 2, -2*x + 1 = -w*x - k for x. -1 Let i be 1 + -2 + (-3 - -4). Suppose 5*t + p - 6 = 14, 3*t + p - 10 = i. Solve 14 - 6 = b - q, -2*q = -t*b + 28 for b. 4 Let j(y) = -y + 2. Suppose 4*m - 4 = -l - 6, -4 = 2*l - 5*m. Let h be j(l). Suppose -6 = -h*c + 6. Solve n + c*d = 6 - 3, 0 = -5*d + 10 for n. -3 Let k(s) = s + 2. Let f be k(1). Solve 4*a + 5*y + 1 = 5, 0 = -a - f*y + 8 for a. -4 Let j be -2 - ((-352)/60 + (-6)/45). Solve 16 = 4*r, j*x + 4*r - 16 = 3*r for x. 3 Let f be -5*1*(-5 + 3). Suppose 0 = 3*i + 2*t + 2*t - 8, 0 = i - 5*t - 9. Suppose -d = -i*d. Solve v - 5 = 2*a - 4, d = 5*a + f for v. -3 Suppose -4*l = -7*l + 9. Solve 0 = l*f + 3 - 0, -5 = 2*b - f for b. -3 Suppose -6*x + 5*x + 31 = 0. Let f = -27 + x. Solve -2*y = -f*r + 4, r + 4*y + y + 10 = 0 for r. 0 Let o(u) = -3*u - 1. Let q = -5 + 8. Suppose 2*a + 20 = -q*a. Let h be o(a). Solve -5*f - h = 2*m, 2*m + f + 1 + 6 = 0 for m. -3 Suppose 6*s + 22 = -20. Let o be 1/3 - (-88)/(-12). Let w = s - o. Solve -j + w*j = -2*q + 9, -j + 3*q = 11 for j. -5 Let s be (-4)/(-8)*(-6)/(-1). Suppose 2*h - 6*h - 8 = -3*o, 4 = -s*o - 2*h. Solve k + o*j - 16 = 3*j, -15 = 5*k + 4*j for k. 1 Suppose 21*y - 19*y - 6 = 0. Suppose 2 - 1 = -a. Let n = a + y. Solve f = -n*g - 9, -3*f + 5*g + 1 = -5 for f. -3 Let q be (-7)/2*(-12)/21. Solve -3*n + 11 = q*x, -n = 4*x - 6*n + 33 for x. -2 Let p be (-275)/(-11)*(-8)/(-10). Solve 3*l + p = -4*i + 6*l, 25 = -5*i + 5*l for i. -5 Suppose 3*h = 2 + 7. Solve 1 = -5*t + h*v, t = 4*t - 5*v + 7 for t. 1 Let p be (-693)/(-36) - ((-1)/(-4) + -1). Solve -5*r = w + 1 + 10, 4*r = 2*w - p for r. -3 Let j be (-1 + 1)/((-2)/1). Solve j*z = 5*z + b + 19, 2*z + 7 = -b for z. -4 Let b(u) be the second derivative of u**4/12 + u**3/6 - u. Let k be b(-2). Solve j = -k*o + 9, -14 = -3*o - 5*j + 3*j for o. 4 Let v = -9 - -16. Let z(w) = 2*w - 8. Let g be z(v). Solve 2*r + 20 = -4*b, 2*b - 3*r + g = -b for b. -4 Suppose 3*l - 30 = -2*l. Let d = -4 + l. Let a be 14/6 - d/6. Solve r + a*x + 6 = 0, -2*x + 1 = -r + x for r. -4 Let s be 4/((-1 - 1)/(-4)). Let p = s + -8. Solve 4*o = 2*r + 6, -3 = -p*o - 4*o + 5*r for o. 2 Let b = -20 + 29. Let a = b + -4. Let n = -1 + 4. Solve 0*u - u = -n*z - 4, -a*u = -2*z + 6 for u. -2 Suppose 0 = g + 3*l + 13 - 33, -3*g = 2*l - 25. Suppose -6 - 6 = -2*r. Suppose -t + 1 = -2. Solve -i = t*p + r, 10 = -5*p + g*i - i for p. -2 Suppose 0*t = 2*t - 6. Suppose 0 = t*h - 0*h - 2*q - 3, 0 = 5*h + 4*q - 27. Solve 5*a + 15 = 0, 2*p + 0*a + a = h for p. 3 Suppose 2*p - 7 = -5*y, y + p + 2 = 1. Solve 5*u - 1 = -l - 18, 0 = -y*l + 2*u for l. -2 Suppose -s = w, 3*w + 2*s + 20 = 6*w. Let u be w*(2/(-4))/(-1). Solve 2*m + 8 = 3*l - u, -5*m - 14 = -2*l for l. 2 Suppose -3*f - 4 = -1. Let p be -6 + f - (7 + -9). Let g be (-17)/p + 6/10. Solve -r - r + 1 = -t, -g*t + 23 = r for r. 3 Suppose 0 = -3*q - 2*q + 5. Let l be 22 - q - 2*-1. Solve -h = 4*s - 16, -2*h - 6*s = -s - l for h. 4 Let o = -7 - -11. Solve 8*f + 3*d - 26 = 4*f, -o*d + 18 = 2*f for f. 5 Let j be 4 + (2*1/(-2))/(-1). Solve 0*u = -u - 5*v - 13, j = -u - v for u. -3 Let f be (-32)/6*6/(-4). Let p = 4 + -2. Suppose p*n = 3*n - 5. Solve 0 = -n*k + t - f + 23, -k = -4*t - 22 for k. 2 Let c be 2*-12*8/(-12). Let u = 1 - -3. Solve 2*n - u*w - 16 = -0*n, -3*n - c = 4*w for n. 0 Suppose 3*p - 2*f = 8, -3*p - 6 = -2*p - 5*f. Solve 0*l = -3*l + 4*z - 23, -10 = p*l + 5*z for l. -5 Let z = -10 - -12. Solve s + z*m = -s, 0 = -2*s - 3*m + 2 for s. -2 Suppose 3*s + s = 124. Suppose -3*o = -7*o + 12. Solve -p - p + o*v - 6 = 0, 5*p = -4*v + s for p. 3 Suppose -3*g - 16 = 5*a, 4*g - 2*a = -0*a + 22. Suppose -k + g*k = 2. Let x = k - -3. Solve -x*l = 4*f + 24, -5*l + f - 26 = 2*f for l. -5 Let g(n) = -3*n + 6*n - n + 3*n. Let z be g(1). Let j be (-2 - -5)/(2/2). Solve c + 9 = -4*s, j*c - z*s - 37 + 13 = 0 for c. 3 Suppose 0 = 3*w - 9*w + 12. Solve -5*q - 4*t - 2 = 8, 5*t = -w*q - 21 for q. 2 Suppose -3*n + 16 - 61 = 0. Let m be (12/n)/(4/(-10)). Solve 4*t + 4*h = -8, t + 3*t - 2*h + m = 0 for t. -1 Let z = 0 - -4. Solve -6 = 3*v + 4*h, -4*v = v + z*h + 2 for v. 2 Let x(z) be the second derivative of -z**4/12 - z**3 - 3*z**2/2 + z. Let r be x(-6). Let u be (-3)/(3/(-2)) - r. Solve u*y - 4 = y, -5*q + 3*y - 3 = 0 for q. 0 Let z(r) = r**3 + 4*r**2 + 5*r + 3. Let f be z(-3). Let y(w) = w**2 - 4*w + 2. Let o be y(5). Let k = f + o. Solve k*b - h = 0, -b - 2*h = h - 13 for b. 1 Let v = 4 - 6. Let q be ((-28)/10)/(v/(-30)). Let g be (-3)/12 + q/(-8). Solve -3*y - i = 0, -y = -5*i - g - 11 for y. 1 Let v(z) = -z**3 - 5*z**2 + 2*z + 3. Let y be v(-5). Let g = y - -10. Solve -5*b - 15 = -5*c, g*c - 4*b - 18 = 2*c for c. -2 Let b(v) = v**2 + 4*v - 7. Let j = 13 - 19. Let x be b(j). Solve -3 = x*i + 17, 2*c - 22 = 5*i for c. 1 Suppose -43 = -3*r + 17. Suppose -3*d + r = v, -8*d = -4*d - 4*v. Solve 3*m - 5*m + 4 = 0, d*z - 10 = 5*m for z. 4 Suppose 8 - 73 = -5*k. Solve -2*j + 22 = -4*t, j + 5*t = -k - 4 for j. 3 Let l = -44 - -46. Solve -i + 2*k + l = 0, i - 3*k = -4 + 9 for i. -4 Let h(k) = -k**3 - 8*k**2 - k - 6. Suppose 45 = -9*b + 4*b. Let g = b + 1. Let s be h(g). Solve -3*p - 2*r - 11 = 0, -2*p + s*r - 13 = 3*p for p. -3 Let q(g) = g**3 - 9*g**2 - 3*g + 31. Let l be q(9). Solve 0*v - 5*v + 3*j = 20, l*j + 12 = -3*v for v. -4 Let d be (-2 - -4) + -1 + 1. Suppose 0 = -d*o + 4*o. Solve o = -p + 5*c + 8, -3*c + 4 + 0 = -5*p for p. -2 Let n(b) = b**3 - 3*b**2 + 4*b - 3. Let f be n(2). Let q = f + 0. Let g(v) = 4*v**3 + v**2 - v + 1. Let h be g(q). Solve -h*j + 3 = t - 4, 4*j = 2*t + 14 for t. -3 Suppose -6*u - 9 = -3*u. Let t be u + 1 - -4 - 2. Solve 2*s - 7*s = 2*h + 14, -5*s + 5*h = t for s. -2 Let q(h) = h**2 - 12*h - 12. Let a be q(13). Suppose 4*l = l. Solve j + 5*v - 5 = l, 4*v = 2*j - 9 - a for j. 5 Suppose 2*z = 3*k - 1, 14 = -z + 6*z - 2*k. Suppose z*r = 2*r. Let j be -4*(-4)/8*(-10)/(-4). Solve j*c - 2*m + 12 = r, -c = 3*m + 9 + 7 for c. -4 Suppose 0 = -6*y + 11*y - 10. Let j be (y/(-6))/((-1)/9). Solve -2*u + 4*x = -8, 5*x = 2*u - j - 9 for u. -4 Suppose -2*r - 11 = -35. Suppose -f + 4 = -4*v - 4*f, -2*f = -2*v + r. Solve v*w - 10 = 3*k, w - 3*k - 6 = 2 for w. 2 Let s(c) = -c**2 + 11*c + 6. Let u = 3 + 8. Let t be s(u). Solve -3*k - z + 7 = -0*k, -4*k + t = 3*z for k. 3 Suppose -18 + 48 = 6*m. Solve -m*x - 10 = 5*z + 10, 0 = 2*z - 3*x + 13 for z. -5 Suppose 0 = -2*g + 5*g
{ "pile_set_name": "DM Mathematics" }
3000 What is 0.0002588 rounded to six decimal places? 0.000259 What is -8.15 rounded to one decimal place? -8.2 Round 0.00012738 to 5 dps. 0.00013 What is -23.18 rounded to one dp? -23.2 Round -17279 to the nearest 10000. -20000 What is 36.6 rounded to the nearest 10? 40 Round 0.00529957 to 4 dps. 0.0053 Round 334760000 to the nearest 1000000. 335000000 Round 86320 to the nearest one hundred thousand. 100000 What is -529.84 rounded to 0 dps? -530 What is -2689.4 rounded to the nearest 100? -2700 What is 573259 rounded to the nearest one hundred thousand? 600000 What is 2249800 rounded to the nearest 100000? 2200000 Round 0.0008772 to three decimal places. 0.001 Round 1.0243 to 1 dp. 1 Round 94070 to the nearest 10000. 90000 What is 219350000 rounded to the nearest one million? 219000000 Round 87.5514 to the nearest integer. 88 What is -354080 rounded to the nearest one thousand? -354000 What is 81.4 rounded to the nearest ten? 80 What is 0.0026093 rounded to 3 dps? 0.003 What is 6143 rounded to the nearest 100? 6100 What is 6999 rounded to the nearest 1000? 7000 Round -902570 to the nearest one hundred thousand. -900000 What is -856.2 rounded to the nearest 10? -860 What is 16.522 rounded to the nearest integer? 17 Round 0.016962 to 4 dps. 0.017 Round 3.531 to one dp. 3.5 Round -0.0204179 to 3 decimal places. -0.02 Round -33307 to the nearest 10000. -30000 What is 3333 rounded to the nearest one hundred? 3300 Round -933 to the nearest 100. -900 Round 0.0000056391 to seven dps. 0.0000056 What is 2.926 rounded to one decimal place? 2.9 Round -0.0000168 to 5 decimal places. -0.00002 Round 0.9848 to 1 dp. 1 What is 0.017 rounded to two dps? 0.02 What is -0.00003593 rounded to 6 dps? -0.000036 What is 560100 rounded to the nearest 10000? 560000 Round -27738000 to the nearest 100000. -27700000 What is 47100 rounded to the nearest ten thousand? 50000 Round -11300 to the nearest ten thousand. -10000 What is -116.7 rounded to 0 decimal places? -117 Round -201660000 to the nearest one million. -202000000 What is -3.89 rounded to 1 decimal place? -3.9 What is -1727000 rounded to the nearest one hundred thousand? -1700000 What is 3842.6 rounded to the nearest one hundred? 3800 Round -0.0157179 to 3 decimal places. -0.016 Round 0.087097 to three dps. 0.087 What is 1078450 rounded to the nearest one thousand? 1078000 Round -0.000020945 to seven dps. -0.0000209 What is 0.006489 rounded to 3 dps? 0.006 Round -0.000089404 to 5 decimal places. -0.00009 What is -78677 rounded to the nearest one thousand? -79000 Round 4587 to the nearest 100. 4600 Round 23.6 to the nearest 10. 20 Round 2.0456 to 1 dp. 2 What is -19.8 rounded to the nearest integer? -20 What is 0.003453 rounded to 4 dps? 0.0035 What is 0.04178 rounded to three decimal places? 0.042 What is -3319500 rounded to the nearest one million? -3000000 What is -59.55 rounded to the nearest integer? -60 Round -9611 to the nearest one hundred. -9600 Round -130400 to the nearest 1000. -130000 Round -0.101457 to two decimal places. -0.1 What is -155 rounded to the nearest one thousand? 0 What is 1240 rounded to the nearest 100? 1200 What is -0.7044 rounded to 1 dp? -0.7 What is -0.000062927 rounded to 6 decimal places? -0.000063 Round 432680 to the nearest one hundred thousand. 400000 Round -5.693 to 0 decimal places. -6 What is 1565.5 rounded to the nearest one hundred? 1600 Round 126.68 to the nearest 100. 100 Round 0.00013237 to 5 decimal places. 0.00013 Round -116.2 to the nearest 10. -120 What is -2104000 rounded to the nearest 100000? -2100000 Round 39.32 to the nearest integer. 39 Round -14.41 to the nearest integer. -14 Round -493000 to the nearest ten thousand. -490000 What is 17.634 rounded to 1 decimal place? 17.6 What is -218000 rounded to the nearest one hundred thousand? -200000 What is -0.028734 rounded to four decimal places? -0.0287 Round -0.62323 to one dp. -0.6 Round 0.00001219 to 7 dps. 0.0000122 What is -0.1452 rounded to two decimal places? -0.15 What is -4394.7 rounded to the nearest one thousand? -4000 Round -10.9937 to one decimal place. -11 Round -49.128 to the nearest 10. -50 Round 0.000273119 to 4 dps. 0.0003 What is 2.88 rounded to the nearest integer? 3 What is 3580.6 rounded to the nearest 100? 3600 What is 27404 rounded to the nearest one hundred? 27400 What is 95.29 rounded to the nearest integer? 95 Round -0.003402 to four dps. -0.0034 Round -7.6448 to 1 dp. -7.6 Round -0.0000009912 to 7 dps. -0.000001 What is -614100 rounded to the nearest one hundred thousand? -600000 What is -287600 rounded to the nearest one hundred thousand? -300000 What is -15057 rounded to the nearest one hundred? -15100 Round 0.000019779 to 6 dps. 0.00002 What is -0.00004246 rounded to 6 dps? -0.000042 Round 0.000008556 to 7 decimal places. 0.0000086 What is -2147050 rounded to the nearest 100000? -2100000 What is 3460.3 rounded to the nearest one thousand? 3000 What is 1061 rounded to the nearest 10? 1060 Round -0.0002557 to five dps. -0.00026 What is 0.02701 rounded to 4 dps? 0.027 What is 1377.2 rounded to the nearest 10? 1380 Round -12.31 to the nearest integer. -12 Round 0.0000020527 to seven decimal places. 0.0000021 What is 9.537 rounded to 1 dp? 9.5 Round -25640 to the nearest 1000. -26000 What is -0.62453 rounded to 2 decimal places? -0.62 What is 200.8 rounded to the nearest 10? 200 Round -0.0000189475 to seven decimal places. -0.0000189 Round 3566 to the nearest one thousand. 4000 Round -0.00000074447 to 7 decimal places. -0.0000007 What is -0.0171847 rounded to two decimal places? -0.02 Round -136.2 to the nearest ten. -140 What is 0.00002112 rounded to 6 dps? 0.000021 What is 13847000 rounded to the nearest one hundred thousand? 13800000 Round 2.98 to zero dps. 3 What is 2936000 rounded to the nearest one hundred thousand? 2900000 What is -4344500 rounded to the nearest one hundred thousand? -4300000 What is -0.00003153 rounded to 6 dps? -0.000032 What is -0.00000519 rounded to 6 dps? -0.000005 Round 4817.01 to the nearest 1000. 5000 Round -240.2 to the nearest 10. -240 What is 0.0000036122 rounded to six dps? 0.000004 Round -0.00512 to 4 decimal places. -0.0051 What is -427.05 rounded to the nearest 10? -430 Round 17184 to the nearest one thousand. 17000 What is 0.0013162 rounded to six dps? 0.001316 Round -14.779 to zero dps. -15 What is -0.00000706 rounded to seven dps? -0.0000071 Round 0.00028713 to 6 decimal places. 0.000287 Round 109.371 to the nearest ten. 110 Round -0.000010163 to five dps. -0.00001 Round -29.712 to 1 decimal place. -29.7 What is 9.348 rounded to the nearest integer? 9 Round -29.465 to the nearest integer. -29 What is 0.00902 rounded to 3 dps? 0.009 What is -1.0703 rounded to 2 decimal places? -1.07 What is -1799 rounded to the nearest 1000? -2000 Round -45.5 to 0 decimal places. -46 What is -0.20032 rounded to two decimal places? -0.2 What is 0.0000014595 rounded to seven decimal places? 0.0000015 What is -0.002839 rounded to 4 dps? -0.0028 What is -8.59 rounded to 1 dp? -8.6 What is 841100 rounded to the nearest one hundred thousand? 800000 What is 494.48 rounded to zero decimal places? 494 Round 0.0000000365 to 7 dps. 0 What is -1.2195 rounded to two decimal places? -1.22 What is 0.00000025362 rounded to 7 dps? 0.0000003 Round -0.07437 to three decimal places. -0.074 What is -581400 rounded to the nearest 100000? -600000 Round 0.00003454 to 6 dps. 0.000035 Round -3389.7 to the nearest 10. -3390 What is -0.07862 rounded to two decimal places? -0.08 What is 0.001059 rounded to five decimal places? 0.00106 What is 29000 rounded to the nearest one hundred thousand? 0 What is 0.02005 rounded to 3 decimal places? 0.02 Round -0.00001738 to 6 dps. -0.000017 Round -0.129637 to three dps. -0.13 Round 0.000164871 to 6 dps. 0.000165 Round 9329 to the nearest one hundred. 9300 What is 0.000000243363 rounded to seven decimal places? 0.0000002 What is 0.00083791 rounded to 6 decimal places? 0.000838 What is 109 rounded to the nearest 100? 100 What is 0.0006753 rounded to four decimal places? 0.0007 Round -10546 to the nearest 1000. -11000 What is -2.272 rounded to one dp? -2.3 What is 2090 rounded to the nearest 1000? 2000 What is -1174.5 rounded to the nearest one hundred
{ "pile_set_name": "DM Mathematics" }
. What is the common denominator of x and 65/6? 30 Let y = 40547/56 + -1013/8. Let i = y + -489238/819. Find the common denominator of i and -11/10. 1170 What is the common denominator of ((-2775)/(-444))/((-50)/(-70)) and ((-414)/64)/(-3) + -1? 32 Suppose 0*q = -4*q + 24. Suppose 384 = 4*p + 312. Suppose -p*h + 240 = -10*h. What is the smallest common multiple of h and q? 30 Let k = 7478/9 - 837. Let l be (3 - 133/(-9)) + (-2)/(-9). What is the common denominator of 8/l + (-9205)/(-3150) and k? 90 Let b(w) = 363*w + 13575. What is the least common multiple of b(-37) and 432? 432 Let g be 14/(-175)*-10 + 3/(-1). Let r = 53/40 + g. Calculate the common denominator of r and 23/20. 40 Let z = -65876 - -17918369/272. What is the common denominator of 5/136 and z? 272 Suppose 26 - 5 = 3*n. Calculate the common denominator of ((-3)/(-40))/(65/1625) and ((-71)/(-2))/(n + 11). 72 Let b = 142007701/834 + -170273. What is the common denominator of -31/16 and b? 6672 Find the common denominator of 107/200 and -1*8/(-28) - (-28153)/8554. 2600 Let k = -4486 - -4508. What is the lowest common multiple of k and 6? 66 Suppose 4*a + 152 = -o + 3*o, 5*a = -15. Let h = o + -137/2. What is the common denominator of (-78)/5*(-15)/30 and h? 10 Let v = -2631 - -3568. Calculate the smallest common multiple of v and 8. 7496 Suppose -3*c - 10*c = -10*c. Suppose -5*h - h = c. Suppose h = 3*b - 4*z - 46, -3*b = -b - 4*z - 28. Calculate the least common multiple of 9 and b. 18 Let i be ((336/(-10))/(-6))/((-2658)/35). Let d = -38827/27909 - i. Calculate the common denominator of d and -71/3. 63 Suppose 102*z - 264*z = -3476 - 88. Suppose -2*p - n = 4*n - 104, 20 = 5*n. Calculate the least common multiple of z and p. 462 Let h be (27474/24)/19 + (-1)/4. Let p = 80 - h. What is the least common multiple of p and 132? 660 Let f(w) = w**3 - 28*w**2 - 221*w + 231. Calculate the lowest common multiple of f(35) and 68. 4284 Let g = -28233/45364 - -9/1031. Find the common denominator of g and -17/1992. 21912 Suppose 5*o - o = -4*d - 8, 3*d = -4*o - 11. Suppose -8*i + 3*i = -2*t - 7, -d*t = -3*i + 6. What is the common denominator of (-13)/(i + (-7)/4) and 12? 3 Let i = -340/9 - -269/9. Let q = 795400 - 7168091/9. Let d = 1051 + q. Find the common denominator of i and d. 9 Suppose q + 39 = 4*u, -u - 15 = -5*q - 1. Suppose -w - 284 = -3*w. Calculate the smallest common multiple of u and w. 1562 Let x(g) be the second derivative of -g**5/20 - 17*g**4/12 + 8*g**3/3 - 33*g**2/2 + 49*g. What is the lowest common multiple of x(-18) and (-15)/(-2) - 2/(-4)? 24 Let x = -922294/45 + 20497. Let p = -176446/105 + 5045/3. Find the common denominator of p and x. 315 Let w = 19497 + -838455/43. Let c = w + 343/946. Calculate the common denominator of ((-3003)/(-144))/11 - 0 and c. 528 Let y be 1305/10 + 1/2. Let j = y + -128. Calculate the least common multiple of 14 and j. 42 Let b be (-66936)/168 - (-5)/3. Let t = 395 + b. What is the common denominator of t and -31/45? 315 Let h = -153/118 + 36523/27258. Let u = 19895/6006 - h. Calculate the common denominator of -77/78 and u. 78 Suppose 4*d - 3*d = -4*a - 31691, -158335 = 5*d - 4*a. Let q be d/53210 - (-6)/10. Let p = -24393/4382 - q. Find the common denominator of p and 26/11. 77 Let m = -312740123/800 - -390925. Calculate the common denominator of -9/56 and m. 5600 Let l = 1/443 - 41215/7088. Let b = -1581389146 + 10294843319393/6510. Let j = -390/217 + b. Calculate the common denominator of j and l. 240 Suppose 26*z + 5130 = 51*z - 295. What is the smallest common multiple of 784 and z? 24304 Let y = 1094 - 478. What is the smallest common multiple of 1120 and y? 12320 Suppose -12 = -3*b - b. Let t be (-10)/40 - (-2)/(24/195). Suppose t*z - 191 = 193. Calculate the smallest common multiple of b and z. 24 Let c(f) = -f - 1. Let x(r) = -4*r - 4. Let m(z) = -9*c(z) + 2*x(z). Let b(h) = -h**3 + 2*h + 1. Calculate the lowest common multiple of b(-2) and m(3). 20 Let j(a) = -5*a + 18. Let m be j(3). Suppose 21 + 75 = 2*p - 3*q, 134 = m*p - 2*q. Calculate the lowest common multiple of p and 30. 210 Suppose -20*g - 4199 - 5700 = -12419. What is the lowest common multiple of (3/(-6))/(1/(-12)) and g? 126 Suppose 0 = -9*a + 17 + 19. Let q be 1 + 5 - (a - 4). What is the common denominator of -43 and (-65)/(-12)*9/q? 8 Let w(c) = c**3 - 18*c**2 + 18*c - 135. Let a be w(17). Calculate the smallest common multiple of 147/(-98) + a/(-4) and 70. 140 Let n = 2/10277 + -873569/123324. Calculate the common denominator of n and -49/412. 1236 Let a = 6573081/9112 - 5771/8. Calculate the common denominator of -40/603 and a. 10251 What is the common denominator of (17870/(-3576) + (14 - 0 - 9))*23 and -11/30? 8940 Let i = -53955/16 + 3366. Let a = 573 + -933. What is the common denominator of i and 1804/a - ((-14)/10 - -1)? 144 Suppose 0 = -c - 8*a - 69, 36 = -172*c + 169*c - 5*a. What is the lowest common multiple of 1/((1/(-5))/(-1)) and c? 15 Calculate the common denominator of 3640/(-3090)*(-63)/(-14) - -5 and 2/4*(-64)/18. 927 Suppose 6*g - 65 = 55. Let n be 10/(-50) - (-198)/(-10). Let x = 30 + n. What is the smallest common multiple of g and x? 20 Let p be (-130)/(-30) - ((-2)/3 - -1). Suppose l = 5 - 1. Suppose l*m + 11 = -5*x - 1, 4 = p*m + x. What is the lowest common multiple of m and 6? 6 Find the common denominator of 1417/(-104) - -14 - 33/(-20) and 29. 40 Let n = 909083/7510386 + -2/51441. Let p = 8176 + -163483/20. What is the common denominator of p and n? 4380 Suppose -5*q + 14 = -4*l, 0 = 2*q + 169*l - 173*l - 8. What is the lowest common multiple of 8995 and q? 17990 Let n = 401558753/7868457684 - 2/5082983. Calculate the common denominator of -27/20 and n. 7740 Let j be 42/24 - (-1)/4. Let p(n) = -2*n**3 + 6*n**2 - 2*n - 1. Let z be p(j). Find the common denominator of -41/6 and (z/(-36))/((-8)/(-1068)). 24 Let t(g) be the third derivative of -g**5/60 + 2*g**4/3 + 2*g**3 + 20*g**2. Calculate the lowest common multiple of 14 and t(6). 504 Let l(d) = 4*d**3 - 27*d**2 + 8*d - 6. Let j be l(7). Suppose 100*f = j*f + 3. Calculate the lowest common multiple of f and 43. 129 Let a(k) = -k + 159. What is the lowest common multiple of a(82) and 77? 77 Let c be (-4)/5 - 119136/255. Let z = c - -538. What is the least common multiple of z and 84? 420 Suppose -b + 2*f - 3550 = 3*b, 2*b = -3*f - 1755. Calculate the common denominator of b/(-84) + (-4)/14 and (36/(-390))/(12/525). 52 Let r(o) = o**3 - 15*o + 7. Let u be r(-4). Calculate the common denominator of 74/33 and u*488/396 - (-2 - -4). 33 Let a be (-184)/(-3)*-45*(-17)/340. What is the common denominator of -23/43 and 23/a*639/24? 688 Let l = -56893/1806 - -2/903. Let a = -17985/74 + 373615/1554. What is the common denominator of l and a? 42 Suppose -4*f + 16 = 0, -2*f - 58 = -2*i + 38. Suppose -y + i = y. What is the least common multiple of (-2 - -16)*14/(-28) - -11 and y? 52 Let g = 35492/14235 + 38/949. What is the common denominator of g and 87/1190? 3570 Find the common denominator of ((-13412)/13405 + 1)*8 and 33/5. 1915 Let q be ((-2)/(-6))/((-1)/3). Calculate the smallest common multiple of (2175/125)/((-16)/(-10)) - (-1)/8 and (q - 4*-2)*1. 77 Let o be 0/((-12)/3) - -4. Let x = o + 52. What is the common denominator of ((-148)/x)/((-3)/9) and -29/2? 14 Let p(v) = -v**2 - 9*v - 8. Let j be p(-8). Let i be j/((-2)/(-2)) - 302092/126. Let x = -2394 - i. Find the common denominator of 59/5 and x. 45 Find the common denominator of 155/882 and 4182/156 - (-4)/(-13). 882 Let n = -1223/390 - -333/65. What is the common denominator of n and 47/572? 1716 Let g(a) be the first derivative of -a**3/3 + 10*a**2 + 15*a - 21. Let n be g(19). Calculate the least common multiple of 9 and 438/n - 1/17*-2. 117 Let u be 33*(0 + (42/9 - 3)). Let s = -48 + u. Suppose -s*c = -5*c - 100. Calculate the common denominator of -73/3 and c. 3 What is the common denominator of -109/2760 and 12/1 - (-35260)/(-984)? 2760 Let n = 348811/81120 - -1/16224. Calculate the common denominator of 76/813 and n. 8130 Suppose -10 = 2*w + l - 6, 0 = -w + 2*l + 8. Suppose w*a - 4*a + 132 = 0. What is the common denominator of -99/10 and a? 10 Let o = 186 - 183. Suppose 5*v = 5*g + 75, -5*g = -3*v - o*g + 42. What is the low
{ "pile_set_name": "DM Mathematics" }
- 94. Calculate the remainder when j is divided by 16. 15 Suppose -3*g + 8 = -g. Let y = g - -11. Calculate the remainder when (58/3)/((-4)/(-6)) is divided by y. 14 Let w = 38 + 40. What is the remainder when w is divided by 27? 24 Suppose -c = 3*k - 11, 4*c - 128 + 52 = -4*k. Calculate the remainder when c is divided by 13. 10 Let r = 29 - 18. What is the remainder when (1302/(-63))/((-4)/6) is divided by r? 9 Suppose 47 + 9 = 4*l. Suppose y = -m + 5*y + l, -5 = 2*m + 3*y. Suppose 3*o + 1 = -2*o - 2*f, f - 1 = -4*o. Calculate the remainder when m is divided by o. 0 Suppose -5*c - 145 = -10*c. Calculate the remainder when 115 is divided by c. 28 Let t(b) = -3*b + 7. What is the remainder when 92 is divided by t(-4)? 16 Suppose 227 = 3*v + 2*n, 4*n - 39 = -2*v + 115. Calculate the remainder when v is divided by 20. 15 Suppose 2*i - 5*f - 99 = 0, 3*i = -4*f + 60 + 100. Suppose -2*w = 2*w - i. What is the remainder when 23 is divided by w? 10 Let i(j) = j - 2. Let g be i(8). Let b be ((-9)/g - -1)*0. Suppose -h - 4*h + 20 = b. Calculate the remainder when 10 is divided by h. 2 Suppose -24 = -4*n - 0*q + 4*q, -q - 22 = -5*n. Calculate the remainder when 6 is divided by n. 2 Suppose j + 5*t + 17 = 0, -j - 4*t - 3 = 10. What is the remainder when 5 is divided by j? 2 Suppose 3*w + 0*v = v + 67, 105 = 5*w - 5*v. Calculate the remainder when 66 is divided by w. 20 Suppose 20 = -4*y, -j + 7*y - 2*y + 40 = 0. What is the remainder when 70 is divided by j? 10 Calculate the remainder when 45 is divided by ((-240)/(-28))/(-5)*(-12 - 2). 21 Let m(w) = -w. Let i(d) = -13*d + 1. Let l(h) = -i(h) + 5*m(h). Calculate the remainder when 1/3 - 393/(-9) is divided by l(2). 14 Let t be (8/(-6))/(4/(-6)). Suppose -3*q + 13 = -t. Calculate the remainder when q is divided by 3. 2 Let u(c) = c**2 + 4*c - 8. Let a be u(-6). Suppose -s - 56 = -a*r, -2*r - 3*s = -5*r + 33. Calculate the remainder when 42 is divided by r. 12 Suppose 10*v + 96 = 14*v. What is the remainder when 47 is divided by v? 23 Suppose 3*o + 4*p + 4 = 0, 3*o - p - 14 - 2 = 0. Suppose -2*t = 5*z - 36, 7*z = 3*z + o*t + 40. What is the remainder when 23 is divided by z? 7 Let b be (-2)/5*1*-5. Let s = 21 - 14. Suppose 0 = -s*x + b*x + 50. What is the remainder when x is divided by 6? 4 Calculate the remainder when -3 + 336/7*(-2)/(-4) is divided by 10. 1 Let v = -4 + 8. Suppose 9*i = v*i + 3*h - 20, 0 = -i - h + 4. Calculate the remainder when (i - 1)*15*-1 is divided by 16. 14 Suppose v - 5*a + 18 = -18, -98 = 3*v - 5*a. Calculate the remainder when 2*(-2)/4*v is divided by 16. 15 What is the remainder when 133 is divided by 44*1 + 3 + -4 + 3? 41 Let s(m) = -m**3 - 3*m**2 + 4*m - 5. Let i be s(-5). Suppose -2 = p - i. Calculate the remainder when 68 is divided by p. 22 Suppose 98 = 5*k - 4*f, -12 = -f - 3*f. Suppose 0 = -3*j + 4*n - 8, 2*n - k = -3*j - 0*j. Suppose -3 = 5*d - 13. What is the remainder when j is divided by d? 0 Let b(i) = -i + 7. Let o be b(6). Let u(j) = j - 9. What is the remainder when 16/3 - o/3 is divided by u(11)? 1 Let j = -12 - -20. What is the remainder when (-32)/(-2) - 8/2 is divided by j? 4 Suppose -2*p = 5*a - 23, -5*p + 29 = 3*a - 0*p. Suppose -a + 13 = 5*x. Calculate the remainder when 3 is divided by x. 1 Suppose g = 2*c + 3*c + 11, 2*g = -c. Suppose -u + 9 = g. Suppose -4*k + 14 = -6. Calculate the remainder when u is divided by k. 3 Let p = 1 - -10. Calculate the remainder when -12*12/9*-2 is divided by p - (-2 - (-2 - 0)). 10 Suppose -5*g + 112 + 98 = 0. What is the remainder when g is divided by 15? 12 What is the remainder when 6*1*65/15 is divided by (-35)/2*(-12)/15? 12 Let t = -73 - -163. Suppose -j = 3*k + j - 65, -2*j = -k + 27. Calculate the remainder when t is divided by k. 21 Let u(k) = 3*k**3 + 3*k**2 - 3*k. Let m(n) = n**2 + 16. Calculate the remainder when u(2) is divided by m(0). 14 Suppose 5*a + 11 = -4*s + 40, 3*a = -3*s + 18. Calculate the remainder when 18 is divided by a. 3 Suppose -4*z = -54 - 54. Suppose 2*a + 2*g - 150 = 0, -g = -a + 30 + 55. What is the remainder when a is divided by z? 26 Let g = 66 - 36. Calculate the remainder when g is divided by 8. 6 Let z(u) = u**3 - 5*u**2 - 8*u + 8. Let n be z(6). Let b(q) = -q + 1. Calculate the remainder when b(-4) is divided by 2*(3 - n/(-2)). 1 Let y = 29 - 11. Calculate the remainder when y is divided by ((-28)/(-4) - -1) + -1. 4 Suppose 0 = r + 2*r - 66. Suppose 0 = 3*k + 4*h - 28, 2*k + h - 3*h = 14. What is the remainder when r is divided by k? 6 Suppose -2*r - 66 = -3*s - 414, 4*r = -s - 116. Let k = -68 - s. Suppose 5*o = -4*d + 41, 2*d - k = 5*o - 5. What is the remainder when 40 is divided by d? 12 Let d(j) be the third derivative of -j**4/12 - 2*j**3/3 - j**2. What is the remainder when (-58)/(-3) + 3/(-9) is divided by d(-7)? 9 Let r = -31 + 47. Suppose r = -0*l + 2*l. What is the remainder when 29 is divided by l? 5 Suppose -7*x + 12 = -3*x. Suppose -2*s - 15 = -y, -5*y = -2*s - 44 - 7. Calculate the remainder when y is divided by x. 0 Let x(d) = -d**3 + 12*d**2 + 27*d + 17. What is the remainder when 5 is divided by x(14)? 2 Let i = -111 + 150. Calculate the remainder when i is divided by 20. 19 Suppose -157 + 37 = -8*q. Suppose 5*c = 2*c + 3. Suppose 31 + c = 4*f. What is the remainder when q is divided by f? 7 Suppose -156 = -4*w - 20. What is the remainder when 101 is divided by w? 33 Calculate the remainder when 18 is divided by -4 - (-6 + -4 + (-4)/1). 8 What is the remainder when 19 is divided by (-4 + 4 + -11)/(-1)? 8 Let z be (-8)/(-6)*30/4. Let r = z + -7. Let q = 11 - 3. Calculate the remainder when q is divided by r. 2 Let s = -33 + 83. Let x = 29 + -3. Let y = 43 - x. Calculate the remainder when s is divided by y. 16 Suppose 13*a - 1092 = 9*a. Suppose 10 = 2*k, -6*b + 2*b + a = 5*k. Suppose o - 3*o = -32. Calculate the remainder when b is divided by o. 14 Let s = 28 + -12. Calculate the remainder when 61 is divided by s. 13 Suppose -4*l = -68 - 32. What is the remainder when 67 is divided by l? 17 Suppose -4*p = -6 - 2. Let y be (p + -4)/(2/3). Let m = y - -7. What is the remainder when 11 is divided by m? 3 Suppose 4*l + 10 + 114 = 0. Let q(g) = -3*g**2 - g - 2. Let r be q(2). Let t = r - l. Calculate the remainder when 28 is divided by t. 13 Let x(a) = -a - 12. What is the remainder when 41 is divided by x(-28)? 9 Let t(n) = 13*n - 3. Let v be t(-3). Let b = 60 + v. What is the remainder when 53 is divided by b? 17 What is the remainder when 1 + 44/(1 + 1) is divided by (-6 - 2 - -2)*-1? 5 Let y(o) = 3*o**2 - 5*o - 4. What is the remainder when 93 is divided by y(4)? 21 Let w = -7 - -14. Calculate the remainder when 19 is divided by w. 5 Let o(r) = -9*r - 10. Suppose -2*m - 4 - 10 = 0. What is the remainder when o(m) is divided by 18? 17 Let n(u) = u + 12. Let b be n(-7). Let t = b + 5. Calculate the remainder when 19 is divided by t. 9 Let k(f) = -f**3 + f**2 - f + 2. Let p be k(0). Suppose -p*l + 107 = -j, -5*j + 275 = 7*l - 2*l. Calculate the remainder when l is divided by 14. 12 Suppose a + 3*f + 130 = 3*a, -2*a - f + 146 = 0. Calculate the remainder when a is divided by 12. 11 Let j = -1 - -5. Suppose 0 = -5*m - 3*a + j + 90, 5*m - a - 82 = 0. Calculate the remainder when m is divided by 7. 3 Suppose -13 = -5*l - 3*s + 16, -5*l + 5 = -5*s. Suppose w - l*w = -90. What is the remainder when w is divided by 8? 6 Let j(i) = i + 7. Calculate the remainder when 39 is divided by j(3). 9 Calculate the remainder when 13 is divided by ((-24)/(-14))/2*112/8. 1 Suppose h - 2*b - 109 = 0, 3*b - 1 = 5. Calculate the remainder when h is divided by 38. 37 Let r(o) = 3*o - 6. Let i(y) = 3*y - 7. Let q(l) = -5*i(l) + 4*r(l). Let p(w) = 2*w**2 + 5*w. What is the remainder when q(-8) is divided by p(-4)? 11 Suppose 3*t - 48 = -0. What is the remainder when 29 is divided by t? 13 Let v be 6/(22/(-26) - -1). Suppose -2*z - 8 = -6*z. Suppose -z*a = a - v. What is the remainder when 23 is divided by a? 10 Let q(i) = -i + 13. Let m be q(10). Suppose 80 = m*a - 1. What is the remainder when a is divided by 10? 7 Let b = 3 - 1. Suppose -t = l - 21, -11 - 15 = -2*l + b*t. Let v = 187 + -122. Calculate the remainder when v is divided by l. 14 Let i(b) = -2 - 2*b - 2 + 5. Calculate the remai
{ "pile_set_name": "DM Mathematics" }
a(m) = 3 - 3 - x + 2 + 5*m**2. List the prime factors of a(-3). 2, 11 Let r = 3020 + 10737. What are the prime factors of r? 13757 Let q(x) = 5655*x**2 + 45*x - 34. What are the prime factors of q(1)? 2, 2833 Let n(o) = 12*o**2 + 38*o + 4. Suppose -4*m + 2*r - 5*r = 21, -2*m = r + 11. List the prime factors of n(m). 2, 13 Let p(d) = 31*d**2 + 11*d - 8. Let o(u) = -10*u**2 - 4*u + 3. Let x(i) = -11*o(i) - 4*p(i). Let n be x(-1). Let q = -1 - n. What are the prime factors of q? 2, 7 What are the prime factors of (-40437 + 236)*((-36)/(-14))/(-3)? 2, 3, 5743 Suppose -4*x = -3*x - 4. Let b be 1/(-2)*x/(-1)*1. Suppose 3*q + 3*u - 198 = -0*u, b*u = -3*q + 198. List the prime factors of q. 2, 3, 11 Suppose 3*a - 14 = 4*x - 5*x, -2*a - 5*x = -5. Let w(h) be the first derivative of h**4/4 - h**3/3 + 13*h**2/2 - 7*h + 36. What are the prime factors of w(a)? 2, 79 Let s(z) be the third derivative of -z**4/3 - 55*z**3/6 + 17*z**2. Let b be s(-7). What are the prime factors of b*(-6)/(-2) - (-195 + 0)? 2, 3, 11 Suppose -867*j = -425*j - 788526 - 687312. What are the prime factors of j? 3, 7, 53 Suppose -4*t + 4*r - 76 = 0, -51 = 4*t - 3*r + 21. List the prime factors of (-14322)/t + (-5)/(-25). 5, 191 Suppose 0 = 171*p - 168*p - 48. Suppose p*r - 14*r - 378 = 0. What are the prime factors of r? 3, 7 Let c = -21739 + 41911. List the prime factors of c. 2, 3, 41 Suppose 3*z + 35 = 5*t, -z - 2*t = -0*t + 8. List the prime factors of -2*(-603)/z*-5. 3, 67 Suppose 3*k = 33*k - 150. Suppose 4*h = -3*w + 2860, 3*h = 2*h - k*w + 732. What are the prime factors of h? 2, 89 Let r(y) = y + 17. Suppose 166 = 2*w + 4*i, 2*w - 2*i + 43 - 221 = 0. Suppose -4*u + 63 = w. What are the prime factors of r(u)? 11 Suppose -195*l = -188*l - 38668. Suppose -5*w + p + 6902 = 0, 0 = -4*w - p + 3*p + l. List the prime factors of w. 2, 3, 5, 23 Suppose -2*u - 4*l + 4 = 2*u, 0 = -4*u + l + 14. Suppose -f - 26 = u*a - 2*a, -3*f = -3*a + 48. Let k = 16 - f. List the prime factors of k. 37 Suppose -2*n - 97 - 303 = 0. Let x(i) = i**2 - 36*i - 50. Let l be x(27). Let v = n - l. What are the prime factors of v? 3, 31 Suppose -2040 = -0*p - 2*p + 4*y, 3060 = 3*p - y. Let h = p - -70. List the prime factors of h. 2, 5, 109 Let y = -277 - -346. Suppose -62*a + y*a = 7294. List the prime factors of a. 2, 521 Let z(g) = 878*g + 46. What are the prime factors of z(7)? 2, 3, 43 Suppose -16*v - 76547 = -421219. What are the prime factors of v? 2, 10771 Suppose 52502 = y + 2*q - 7260, 3*y + 3*q - 179274 = 0. What are the prime factors of y? 2, 3, 23, 433 Let r(x) = -14*x - 16*x + 29*x + 27. Let u be r(27). Suppose -16*q = -u*q - 384. What are the prime factors of q? 2, 3 Let w = 202 + -219. List the prime factors of (3 + -107)*238/w. 2, 7, 13 Suppose -44292 + 4675 = -4*g - 5*l, 49467 = 5*g + 14*l. List the prime factors of g. 23, 431 Let u = -2 + 2. Let j(y) = -2*y + 60 + 2061*y**3 - 4 + 52 - 2062*y**3 + 3*y. List the prime factors of j(u). 2, 3 Let c be 1/(660/1820 + (-4)/14). Suppose 0*l = 4*l - 1532. Suppose g = 4*n + c - l, -3*g + 362 = 4*n. What are the prime factors of n? 2, 23 Suppose 5*s = 5*t + 2425, -4*t - 2 - 6 = 0. Suppose 0 = -5*o - 3*p - s + 1830, 2*o - p = 541. List the prime factors of o. 2, 3, 5 Suppose 4*o + 2*p = 248, 8*p - 3*p = -4*o + 242. Suppose j - 393 = -2*j. Suppose 4*n - 66 = -i + j, -n - 3*i + o = 0. List the prime factors of n. 2, 3 Suppose -14*z + 5558 = -210. Let p = 1046 - z. What are the prime factors of p? 2, 317 Let j be 4 + 640/36 + (-4)/(-18). Let l be j/4 + (-9)/6. Suppose l*u - 3*u = -m + 7, 5*u = 5*m - 5. What are the prime factors of u? 3 Let u(n) be the first derivative of -2/3*n**3 - 20*n - 30*n**2 - 11. List the prime factors of u(-27). 2, 71 Let n(r) = -r**2 - r - 1. Let a = -43 + 38. Let q(t) = 6*t**2 + 9*t - 2. Let f(s) = a*n(s) - q(s). What are the prime factors of f(0)? 7 Suppose -2*g - 2*g - 48 = -f, 0 = 4*f - 3*g - 218. Suppose 180 = -54*j + f*j. List the prime factors of j. 2, 3, 5 List the prime factors of (-17136561)/(-1599) + (-4)/82. 7, 1531 Let s(t) = -t**3 - 9*t**2 - 14*t + 3. Let d be s(-7). Let c(z) = 84*z**2 - 8*z + 17. List the prime factors of c(d). 7, 107 Let c(i) = 21*i**3 + 16*i**2 - 108*i + 50. What are the prime factors of c(15)? 5, 7, 2083 Let c(s) = 72*s + 2*s - 45*s - 187 + 32*s + 76*s. What are the prime factors of c(13)? 2, 797 Let z(u) = -u**2 + 8*u - 8. Let p be z(2). Suppose 35 = p*o - 1681. List the prime factors of o. 3, 11, 13 Let u(l) = l**3 - 6*l**2 + 2*l - 10. Let z be u(6). Let s(y) = 5*y + 17*y - 12*y**z - 12*y - 19 + y**3. List the prime factors of s(12). 101 Suppose -2*x + 138 = 2*a - 0*x, -2*a = 4*x - 144. Suppose a = -0*d + 3*d. Let k = 77 - d. List the prime factors of k. 5, 11 Suppose 488 = 2*j + 3*d - 1034, -4*d = 0. List the prime factors of (j/(-2))/(3/(9 - 15)). 761 Suppose 3*l - 3439 = 2*s, -10*l - 2295 = -12*l - s. List the prime factors of l. 31, 37 Suppose 0 = o - 18*o - 51. Let a(q) = 69*q**2 + 4*q. List the prime factors of a(o). 3, 7, 29 Suppose 4*m - k - 407 = 0, 3*k - k + 304 = 3*m. Let s be (m*(0 + -1) + 2)*1. Let o = -24 - s. What are the prime factors of o? 2, 19 Let b(y) = 83*y**2 + 2*y + 3. Let r be b(-3). Let g = r + -441. What are the prime factors of g? 3, 101 Let k = 97 + -74. Let l(g) = -g**2 + 43*g - 100. What are the prime factors of l(k)? 2, 3, 5 Suppose 4*o - 4 = 4. Suppose -1546 = -2*p - o*i, 3*p + p - 3093 = -5*i. Suppose -6*g = 5*a - 2*g - p, 3*g = 3*a - 447. What are the prime factors of a? 2, 19 Let m = 3953 + -1883. What are the prime factors of m? 2, 3, 5, 23 Suppose -3*m + 7 = -2*q, m - 2 = 5*q - 4. What are the prime factors of (-2)/(9597/3201 - m)? 11, 97 Let x be -3 + (-10)/(-4) - 6122/(-4). Suppose 0 = 25*d - 19*d - x. List the prime factors of d. 3, 5, 17 Let q(y) = 7*y**2 + 716*y + 97. What are the prime factors of q(-103)? 2, 3, 17 Let y = -175 - -183. List the prime factors of 169 - 2*4/y. 2, 3, 7 Let o(d) = -74*d - 10. Let u be o(-33). Suppose -3*h + 6*w = 3*w - 1824, 4*h = -3*w + u. What are the prime factors of h? 2, 19 Let u(m) = 420*m + 7. Suppose 7 = 3*b + 2*r, 7*b + 2 = 4*r + 1. What are the prime factors of u(b)? 7, 61 Suppose -1024 = -p + 4*u, -3*u + 2*u - 2076 = -2*p. Suppose 2*c + 5*q + p = 7*c, -4 = -q. What are the prime factors of c? 2, 53 What are the prime factors of ((14/(-5))/(15/25))/((-8)/6492)? 7, 541 Let r be -9 - (0/3 + 1). Let x = r + 20. Suppose 7*d - x*d + 243 = 0. What are the prime factors of d? 3 Let o(w) be the third derivative of w**4/4 - 4*w**3/3 + 4*w**2. Let u be o(3). What are the prime factors of (1/(-4))/((-2)/16) + u? 2, 3 What are the prime factors of 20649 - ((-4)/(-18) + 235/90*-2)? 2, 23, 449 Suppose -47*x + 41*x + 1290 = 0. Suppose -2*a + 27 = 5*o, o + 3*a - 6*a = 2. Suppose -g + x = -i, 3*i = -4*g + o*i + 860. List the prime factors of g. 5, 43 Let s = 48 + -45. Suppose 0 = -2*j - s*v + 815, 7*v = 5*j + 4*v - 1985. Suppose 0 = -19*r + 15*r + j. List the prime factors of r. 2, 5 Suppose -38*q + 4*b = -39*q + 11350, -3*q = -b - 33972. List the prime factors of q. 2, 7, 809 Let t be 964/((-8)/12*-3). Suppose 0 = -2*q + c + t, -c + 715 = 5*q - 490. Suppose -3*o - 73 - 62 = -3*p, o + q = 5*p. What are the prime factors of p? 7 Let f = 7738 - 5410. Suppose -q - f = -7*q. What are the prime factors of q? 2, 97 Let r = -271 - -347. Suppose r*u - 64*u = 13932. List the prime factors of u. 3, 43 What are the prime factors of 1*(-48)/40*1 - 687344/(-20)? 2, 17183 Suppose -341479 - 530958 = -49*o + 21078. What are the prime factors of o? 5, 7, 521 Let d(b) = -2*b + 3. Let k(c) = 3*c - 82. Let g(q) = 5*d(q) - k(q). List the prime factors of g(-9). 2, 107 Let u(c) be the second derivative of -c**3/3 + 113*c**2/2 - 4*c. List the prime factors of u(17). 79 Suppose -3159 = -h - 3*u, 3*h - 2*u - 12636 = -h. Suppose 5*n + 2*b - h = 5*b, 4*n - 2523 = b. Suppose 5*r - n = -r. List the prime factors of r. 3, 5, 7 Let u = -155 - -130. Let a be -2*u/(-10) - -3. What are the prime factors of ((-8)/a)/1 + 45? 7 Let t(q) be the second derivative of q**5/20 - q**4/12 - q**3/2 + 63*q**2/2 - 42*q. Let y be t(0). Suppose 2*g - y = 183. List the prime factors of g. 3, 41 Suppose 3*v - 15 = -4*l + 14, 5*l - 5*v - 45 = 0. Suppose 53 + 123 = l*i. What
{ "pile_set_name": "DM Mathematics" }
prob of picking 2 h when two letters picked without replacement from {q: 7, h: 5}? 5/33 What is prob of picking 2 x and 1 e when three letters picked without replacement from xixixxxxxixxei? 9/91 What is prob of picking 1 e, 1 m, and 1 q when three letters picked without replacement from wvwwejvmqwwqqqqm? 1/56 What is prob of picking 3 o and 1 u when four letters picked without replacement from aeawuuwawwuwuao? 0 Calculate prob of picking 2 d and 2 x when four letters picked without replacement from {q: 1, d: 2, f: 6, n: 3, x: 2}. 1/1001 What is prob of picking 1 g, 1 o, and 1 b when three letters picked without replacement from {l: 4, b: 1, u: 1, g: 1, k: 2, o: 3}? 3/220 Calculate prob of picking 1 j, 1 g, 1 b, and 1 n when four letters picked without replacement from gbmnmjjgr. 2/63 What is prob of picking 2 g when two letters picked without replacement from zzgbjrzjezgj? 1/66 Four letters picked without replacement from {c: 6, o: 13}. What is prob of picking 2 o and 2 c? 195/646 What is prob of picking 2 p and 2 h when four letters picked without replacement from {h: 1, p: 12}? 0 Three letters picked without replacement from {w: 4, z: 3, a: 1, g: 3, l: 2, h: 2}. Give prob of picking 2 g and 1 w. 12/455 Calculate prob of picking 2 n and 1 p when three letters picked without replacement from {p: 5, b: 9, n: 5, f: 1}. 5/114 Calculate prob of picking 3 t and 1 h when four letters picked without replacement from yythxqyxxtqhytyyh. 3/2380 Four letters picked without replacement from {p: 10, y: 3, m: 2}. Give prob of picking 2 y, 1 p, and 1 m. 4/91 Calculate prob of picking 2 e when two letters picked without replacement from {e: 3}. 1 What is prob of picking 2 n when two letters picked without replacement from {e: 3, n: 17}? 68/95 What is prob of picking 1 a and 2 r when three letters picked without replacement from uuauuadddurddad? 0 Calculate prob of picking 1 q and 1 w when two letters picked without replacement from {z: 10, w: 2, q: 4}. 1/15 Two letters picked without replacement from bjjjjjjjb. What is prob of picking 2 j? 7/12 Four letters picked without replacement from vtmtxxxtxxtttt. Give prob of picking 1 v, 2 t, and 1 m. 3/143 Two letters picked without replacement from {q: 1, i: 7}. Give prob of picking 1 q and 1 i. 1/4 Four letters picked without replacement from ggwgggwgggggwgggwggg. Give prob of picking 1 w and 3 g. 448/969 Three letters picked without replacement from lsssklesrsl. Give prob of picking 1 e, 1 k, and 1 l. 1/55 What is prob of picking 1 c and 1 t when two letters picked without replacement from {n: 2, t: 2, o: 5, i: 2, c: 1, j: 1}? 1/39 Calculate prob of picking 2 l and 1 t when three letters picked without replacement from {t: 2, l: 10, w: 6}. 15/136 Two letters picked without replacement from uwa. Give prob of picking 1 w and 1 a. 1/3 Calculate prob of picking 1 n and 1 t when two letters picked without replacement from {t: 1, b: 5, d: 4, n: 1, o: 7, k: 2}. 1/190 Four letters picked without replacement from tnbnhtnnbth. Give prob of picking 3 t and 1 b. 1/165 Three letters picked without replacement from {i: 7, x: 2, r: 4, p: 1, f: 2}. What is prob of picking 1 x, 1 r, and 1 f? 1/35 What is prob of picking 1 u and 2 i when three letters picked without replacement from igiuu? 1/5 Calculate prob of picking 1 b and 1 a when two letters picked without replacement from {h: 2, b: 2, s: 2, i: 3, a: 1, v: 2}. 1/33 Two letters picked without replacement from {c: 2, v: 10, y: 4, t: 2, u: 1}. What is prob of picking 2 y? 2/57 Four letters picked without replacement from {u: 10, z: 2, a: 4, e: 4}. What is prob of picking 3 u and 1 z? 16/323 Calculate prob of picking 1 u, 1 c, and 1 a when three letters picked without replacement from {m: 1, v: 11, a: 1, u: 2, c: 1, j: 2}. 1/408 Calculate prob of picking 2 y and 2 u when four letters picked without replacement from {y: 3, n: 4, q: 10, u: 2}. 1/1292 Two letters picked without replacement from eejjrjeemerm. What is prob of picking 2 m? 1/66 Calculate prob of picking 2 n and 2 d when four letters picked without replacement from dpndqznrnpddpn. 36/1001 Three letters picked without replacement from yxxfvvccyyxyyxtyctxy. Give prob of picking 1 t and 2 y. 7/190 Three letters picked without replacement from {b: 2, m: 2, q: 1}. What is prob of picking 1 m and 2 b? 1/5 What is prob of picking 1 c and 1 z when two letters picked without replacement from {c: 1, g: 4, j: 2, y: 1, z: 1}? 1/36 What is prob of picking 1 p and 2 j when three letters picked without replacement from {z: 9, j: 6, p: 1, q: 3}? 5/323 Four letters picked without replacement from jffffjfjjf. What is prob of picking 2 f and 2 j? 3/7 What is prob of picking 1 s, 1 u, and 2 z when four letters picked without replacement from csvzsusvvszvzuzssvsv? 28/1615 Two letters picked without replacement from {b: 1, a: 4, h: 2, y: 2, z: 6}. Give prob of picking 1 a and 1 z. 8/35 Calculate prob of picking 1 w and 1 b when two letters picked without replacement from wvqxbqv. 1/21 Two letters picked without replacement from lfl. What is prob of picking 1 l and 1 f? 2/3 Calculate prob of picking 2 v when two letters picked without replacement from {l: 2, v: 6}. 15/28 What is prob of picking 2 x and 1 s when three letters picked without replacement from {l: 2, a: 2, x: 11, s: 1}? 11/112 Four letters picked without replacement from {z: 4, s: 1, e: 2, a: 2, i: 2, k: 4}. What is prob of picking 1 i, 2 z, and 1 s? 4/455 What is prob of picking 1 w and 1 p when two letters picked without replacement from uwqyypw? 2/21 Three letters picked without replacement from {q: 4, n: 1, p: 2, b: 4, v: 3, c: 3}. Give prob of picking 1 c and 2 p. 3/680 Calculate prob of picking 1 d and 2 p when three letters picked without replacement from updslpud. 1/28 Four letters picked without replacement from aiaaaaiaaaaa. What is prob of picking 2 i and 2 a? 1/11 Four letters picked without replacement from yygttiyggigygttqg. Give prob of picking 3 y and 1 i. 2/595 Calculate prob of picking 1 a, 1 s, and 1 p when three letters picked without replacement from saspsappsspaaa. 25/91 Four letters picked without replacement from {l: 2, m: 11, x: 3, y: 3}. Give prob of picking 2 x, 1 l, and 1 y. 3/646 Two letters picked without replacement from belggbleezleeleesbes. What is prob of picking 1 b and 1 z? 3/190 Three letters picked without replacement from {s: 5, w: 6, a: 2}. What is prob of picking 2 w and 1 a? 15/143 Two letters picked without replacement from {v: 5, e: 4, t: 3, k: 1}. What is prob of picking 2 t? 1/26 What is prob of picking 1 m and 1 s when two letters picked without replacement from {r: 1, s: 1, o: 1, m: 2, e: 2, p: 1}? 1/14 Calculate prob of picking 2 e when two letters picked without replacement from {q: 1, x: 3, l: 2, e: 3, f: 4, g: 2}. 1/35 Calculate prob of picking 2 m when two letters picked without replacement from mdmpggdpugugmmpdx. 3/68 What is prob of picking 2 h and 2 t when four letters picked without replacement from {t: 6, h: 12}? 11/34 Four letters picked without replacement from {f: 3, y: 1, e: 2, n: 1}. What is prob of picking 3 f and 1 y? 1/35 Calculate prob of picking 2 y, 1 s, and 1 x when four letters picked without replacement from yrxgygsygygy. 2/99 What is prob of picking 1 h and 1 z when two letters picked without replacement from hxzjz? 1/5 Calculate prob of picking 2 v when two letters picked without replacement from vvnvnvnvvvnnvnvvvvv. 26/57 Two letters picked without replacement from {u: 1, e: 4, f: 1, w: 1, m: 1}. What is prob of picking 2 u? 0 Two letters picked without replacement from wtvv. Give prob of picking 1 t and 1 w. 1/6 Three letters picked without replacement from wwjsiwssjwiswoowsoow. What is prob of picking 1 o and 2 i? 1/285 Calculate prob of picking 2 k and 1 o when three letters picked without replacement from opkmmmmkmmmmm. 1/286 Four letters picked without replacement from {t: 6, y: 2, a: 4}. Give prob of picking 1 t and 3 a. 8/165 Calculate prob of picking 1 b and 1 s when two letters picked without replacement from {b: 14, s: 1}. 2/15 Three letters picked without replacement from {o: 2, m: 3, k: 3, f: 3, n: 3, p: 1}. What is prob of picking 1 f and 2 k? 9/455 Two letters picked without replacemen
{ "pile_set_name": "DM Mathematics" }
s**6/30 - 7*s**5/60 + 2*s**3/3 + 5*s**2. Is g(5) a composite number? True Let j(z) = 135*z**2 - 2*z + 2. Is j(3) composite? True Let y(u) = 76*u**2 + 2*u + 5. Is y(4) a composite number? False Let d = -8 - -12. Suppose 0 = -5*o - d*c + 5*c + 250, 2*o + 2*c = 88. Is o a composite number? True Let w(k) = -4*k + k - 1 + k - 7*k. Is w(-6) a composite number? False Suppose -371 - 65 = -4*u. Suppose 0 = -26*m + 28*m - 60. Let y = u - m. Is y composite? False Suppose -4 = -q - 3. Let c be 148 + q - (5 + -4). Suppose 2*w = c - 42. Is w prime? True Let t(z) = 7*z**2 - 8*z + 5. Let a be t(5). Suppose 0 = -5*n + 15 + a. Is n prime? True Let b(z) = -z**3 + 13*z**2 + 16*z + 13. Is b(13) composite? True Suppose 1207 = 5*o - 4763. Let h = o - 547. Is h a composite number? False Suppose 3*a = -0*a - 5*m + 452, -5*a = -2*m - 743. Is a a composite number? False Let o(h) = 2*h**3 + 4*h**2 - 3*h + 7. Is o(4) prime? False Let k(i) = 13*i + 1. Let z(y) = -5*y - 1. Let g be z(-1). Suppose g*n = -3*s - 1, -5*s = -4*s - 4*n - 5. Is k(s) a composite number? True Suppose -3*a = 5*r - 401, 4*r - 5*a - 132 = 174. Is r a composite number? False Let v(g) = g - 5. Let l be v(5). Suppose 405 = 3*a - 4*x, 2*x = -4*a - l*a + 518. Is a composite? False Suppose 0 = 4*q + 2*g + 6, 0 = 4*q - 5*g + 31 + 10. Is 4/16 - 99/q prime? False Is 1916/18*3*(-39)/(-26) prime? True Suppose m - 5*j - 9838 = -2*m, -2*m + 2*j + 6552 = 0. Is m a composite number? False Let y(c) = c**3 + 3*c**2 + 1. Let k be y(-3). Is k/(-8)*-4*50 a composite number? True Let l(a) = -a**2 + 5*a + 9. Let y be l(7). Let h(w) = -w**3 - 5*w**2 + 3*w + 1. Let c be h(y). Is (-4 - -2)/(2/c) a prime number? False Let o(a) be the second derivative of -89*a**5/120 - a**3/3 + 2*a. Let t(x) be the second derivative of o(x). Is t(-1) composite? False Suppose -2*d + 4226 = 1422. Is d prime? False Let a(h) = 73*h**2 + 1. Suppose 5*r + 4*m + 0 = 2, 0 = 3*r + 3*m - 3. Is a(r) prime? True Let b = -90 + 509. Is b a composite number? False Suppose 0 = -5*d + 5*b - 0*b + 700, -d = b - 138. Is d a prime number? True Let t = -168 - -307. Is t composite? False Suppose 0 = 34*o - 32*o - 170. Is o a composite number? True Let g = 6 - 4. Suppose 5*d - 10 = 0, 25 = -g*p + 2*d + 101. Suppose 5*i - p - 70 = 0. Is i composite? True Let m = 471 + 1358. Is m composite? True Let o(z) = 13*z - 2. Is o(9) a composite number? True Suppose -2*k + d + 2*d - 315 = 0, 2*k + d = -319. Let n = k - -234. Let v = n - -4. Is v composite? False Let g be -3 - (-57)/(-1 + 2). Suppose 3*w = -4*n + 617, g = n - 4*w - 124. Is n composite? True Let h(x) = 23*x - 9. Is h(28) a composite number? True Let k(b) = -2*b**2 + 4. Let i(p) = 4*p**3 + 2*p**2 - 1. Let j be i(-1). Let w be k(j). Is (-4)/(-14) + (-1074)/w composite? True Let i(r) = -390*r - 7. Is i(-4) composite? False Suppose -625 + 185 = -5*k. Suppose 154 + k = 2*w. Is w a composite number? True Suppose -3*k - 15 = -2*k + 5*g, 2*g + 33 = 5*k. Suppose -b = 3*b + k*r - 55, -b - 2*r = -13. Is b composite? True Let y(s) = 3*s**3 - 10*s**2 + 9*s - 16. Is y(7) composite? True Suppose -5*v - 14 = 6. Let n = v - -4. Is 1 + (n - -1) + 11 a prime number? True Let a(m) = m + 1. Let q be a(4). Suppose -36 = -q*c + 359. Is c a prime number? True Suppose -919 = -5*z + 736. Is z composite? False Suppose 3*a - 4*t - 6 = 0, 4*a = 5*a + t - 2. Is (-3)/(a/2) + 126 prime? False Is 1*(-5)/(-10) + (-955)/(-2) composite? True Let d = -13 - -7. Is (-790)/(-15)*d/(-4) a composite number? False Let i(w) = -w**2 - 7*w - 4. Let c(q) = -q - 2. Let a be c(4). Let s be i(a). Suppose s*x + 0*x - 50 = -y, 2*y = -4. Is x prime? False Is (-4 + 2)*(-1)/(-5)*-295 a composite number? True Is (-4 - -1) + 521 - -3 composite? False Let n(q) = q**3 - 7*q**2 + 4*q - 8. Let i be n(7). Suppose 0 = -6*y + y + i. Suppose 2 - 62 = -y*f. Is f prime? False Let i = -1 - -6. Suppose -i*z + 745 = -0*z. Is z composite? False Suppose 5*l + 18516 = 17*l. Is l a prime number? True Let o(u) = 2*u**3 + 3*u**2 - 4*u - 3. Is o(4) a prime number? True Let i be 1197 - (-3 + 3 + -2). Suppose -3*r + 725 = 2*c, 5*r + 5*c - 4*c = i. Is r prime? True Let t(l) = 8*l**3 + 7*l**2 - 4*l + 7. Let g(m) = -4*m**3 - 4*m**2 + 2*m - 4. Let a(o) = -5*g(o) - 3*t(o). Is a(-2) a prime number? True Let t(d) = -3*d**3 - 5*d**2 + 9*d - 4. Let j(x) = 2*x**3 + 6*x**2 - 9*x + 4. Let r(u) = -4*j(u) - 3*t(u). Is r(9) a prime number? False Suppose -12430 + 2589 = -13*c. Is c composite? False Suppose 0 = 5*m, 4*m - 893 - 1367 = -5*p. Suppose -2*i = i + 4*h - 339, 3*h = -4*i + p. Suppose -5*v + 3*l + 146 = -v, 3*v = 4*l + i. Is v a composite number? True Let b(i) = -i - 8. Let w be b(-8). Let g be 2 - (-19 + w + 1). Is 4/g - 788/(-10) a prime number? True Suppose -38 = 2*o - 4*v, 0*v = -3*o + v - 32. Let a be 74/o - 8/(-36). Is ((-15)/4)/(2/a) prime? False Let p = 1 + 4. Suppose -p*t = -3*t - 158. Is t prime? True Let w = 265 - -186. Is w composite? True Let s = 6 - 4. Suppose -x + s*x - 2 = 0. Suppose w + x*w - 111 = 0. Is w prime? True Let y(p) = -p + 1. Let v be y(3). Is 776/12*(-3)/v composite? False Is (-4)/22 - 12735/(-165) composite? True Suppose 25 - 75 = 5*y. Let j = 107 + y. Is j composite? False Suppose 0*b = -5*b. Suppose b = 2*k + 5*x - 561 + 162, -3*x + 603 = 3*k. Is k a prime number? False Let a(p) = -p**3 - 7*p**2 - 4. Suppose 0 = 3*q - 3*l + 13 + 8, -l - 21 = 3*q. Let m be a(q). Let j(k) = k**3 + 4*k**2 - 4*k - 3. Is j(m) a prime number? True Let i(d) = 64*d. Let a be i(-4). Let m be (-6)/27 + a/(-18). Suppose -3*h + m = -h. Is h a prime number? True Suppose -6*x + 3*x + 1005 = 0. Suppose b = -4*b + x. Is b a composite number? False Is 0 + -1 + 27*(-24)/(-9) prime? True Let z(g) = -g**3 + 9*g**2 + 12*g - 11. Is z(8) prime? True Let m(j) = j**3 + 7*j**2 + 5*j + 7. Let y be m(-6). Suppose 0 = -4*d - 1 + y. Suppose d*b + 4*w - 90 = b, 3*b = -4*w + 145. Is b composite? True Let i = 884 - 436. Suppose m - 3*d - 221 = 0, 3*m = 4*d + i + 195. Is m a composite number? True Let o be 1/(-4) + (-333)/(-36). Is ((-317)/(-3))/(3/o) prime? True Let x be (9/(-6))/(1/(-2)). Suppose -x*y - 2*m + 55 = 0, y + 40 = 5*y - 4*m. Is (-308)/(-10) - (-3)/y a composite number? False Suppose 2*o + 372 = -o. Let b = -73 - o. Is b a composite number? True Let j(f) = -f + 10. Let w be j(7). Suppose a = -w*a + 228. Is 6/8 + a/4 prime? False Suppose z + 2 = 0, 7*h - 2*h - 4*z - 623 = 0. Is h composite? True Let h = 59 + -33. Is h a prime number? False Let y be 6/(-4 - -2) + -6. Is 2/9 - 205/y composite? False Let v(t) = -2*t**2 - 2*t + 350. Let d be v(0). Let a = 355 - 210. Let o = d - a. Is o a composite number? True Suppose 1167 = 12*s - 9*s. Is s composite? False Let j = -200 + 743. Is j composite? True Suppose q + 3140 = 9*c - 4*c, -4*c + 3*q + 2501 = 0. Is c a prime number? False Let c(t) be the second derivative of t**3/6 - t**2/2 - 2*t. Let p be c(6). Suppose n - 5*n + 79 = 5*a, 0 = 4*a - p*n - 96. Is a a composite number? False Let y(k) = -2 + 0 + 0 - 10*k - 1. Let v = -5 + -2. Is y(v) composite? False Is (-10)/(-25) + (-4506)/(-10) a prime number? False Suppose 4*r + 33 = 5*r. Suppose -239 = 4*u - 5*d, 3*u + 2*d = r - 195. Is ((-3)/(-4))/((-2)/u) composite? True Let h be (9/6)/(2/60). Let m(o) = -o + 7. Let i be m(5). Suppose i*d = -d + h. Is d prime? False Suppose 5*s - 185 = -0*s. Is s a composite number? False Suppose -5*y + 6*y = 0. Is (1 - 0) + y + 2 a composite number? False Let f = -4 + 7. Suppose -o - f*o = -212. Is o composite? False Let w(o) = 2*o**3 + 11*o**2 - 5*o - 8. Let x(n) = -3*n**3 - 12*n**2 + 6*n + 9. Let z(t) = -4*w(t) - 3*x(t). Is z(8) a prime number? False Suppose -2*o + 4*d = -934, 6*o + d = o + 2346. Is o a composite number? True Let p(f) = f**2 + 5*f - 11. Let t be p(-8). Let v(z) = -t + 0 + z**2 + 3*z - 4*z + 0*z**2. Is v(10) prime? False Let r = 6 + -6. Is 140 + (-2 + 5 - r) composite? True Suppose 373 = 3*n - 164. Is n composite? False Suppose -4*w - 5*h = -134, 0 = 5*w - w - 5*h - 114. Is w a prime number? True Let m = 72 + 131. Is m composite? True Suppose 0*c - 825 = -4*c - 3*k, -1034 = -5*c - k. Let w = c - 120. Is w a composite number? True Is (1 - -1252) + (12/(-4) - -5) a prime number? False Let d(j) = 8*j**3 - j**2 + 4*j - 3. Let l be d(4). Let x = l - 190. Is x compos
{ "pile_set_name": "DM Mathematics" }
- 3*m, -3*a - m = -f*m + 2. Solve -p + 5 = 0, -a = -3*u + 2*p - p for u. 2 Let o = 224 - 220. Solve 4*k = -b + 3 - o, 3*b - 5*k + 3 = 0 for b. -1 Let d = 27 - 15. Let s be ((-2)/(-4))/(2/d). Solve -3*z - 2*z - 12 = 3*l, -s*l + 9 = -2*z for z. -3 Suppose 11 + 13 = 3*s. Let t = -4 + s. Let f(k) = 2*k - 4. Let h be f(4). Solve -h*d = -4*z - 4, -5*z + 3*z = -d + t for z. -3 Suppose -5*k + 2 = -0*k + 2*m, 4*m - 4 = -4*k. Let w = 1 + k. Solve g = h, -3*h + 16 = w for g. 5 Let g = 0 - -4. Suppose -g*m + 2*m = 0. Suppose -3*f + 11 + 4 = 0. Solve f*a + u - 21 = 0, 2*a + u - 2*u - 7 = m for a. 4 Suppose 16*b = -21 + 133. Let d(n) = n + 10. Let s be d(-6). Solve 2*o = -4*x - 10, -s*x = b*o - 3*o + 4 for o. 3 Let r(p) be the third derivative of -1/4*p**4 + 0*p - 5*p**2 + 1/60*p**5 + 1/3*p**3 + 0. Let s be r(6). Solve 3*i - 3 = s*g, 5*i = 2*i - 5*g + 24 for i. 3 Suppose 2*l + 2*h = -h + 6, -h = -3*l + 20. Let o = -7866 - -7871. Solve 18 = -l*s + o*s - 5*g, 0 = 3*g + 12 for s. 2 Let z be 26/6 + (-4)/12. Suppose -w = -z*w. Suppose w = -5*u + 6*u. Solve 5*x - 4*m + 45 = u, -x - m + 15 = -3*x for x. -5 Suppose -157*k = -156*k - 4. Solve 0 = x - k*q - 2 + 7, 5*q - 3 = -2*x for x. -1 Suppose -44*t + 191 = 59. Solve -v - 8*p + 10*p + 4 = 0, -1 = v + t*p for v. 2 Let m = -112 - -116. Solve -3*j - j - 24 = -3*k, 12 = -m*j for k. 4 Suppose 2*n = 4*a - 12, 3*n - 6 = a - 2*n. Suppose t = 3*t - a. Let q = -5 - -8. Solve -t*i = 5*m + 22, -2*i + 3*m = -q*i - 13 for i. -1 Let t be 15/3*(1 - 0). Let u be ((-6)/(-4))/((-9)/(-150)). Solve j = -l + 4, t*j + 5 = 4*l + u for l. 0 Let d be (0 + 3/(-3))*0. Suppose c = -d*c + 25. Let x(o) = -o + 10. Let z be x(7). Solve 3*w + 4*a = 6*w - z, 5*a = -2*w + c for w. 5 Let r be (-26)/(-8) + (-413)/(-236). Solve 2*o - 21 = 5*t, -2*t - r - 4 = -o for o. 3 Suppose x - 3*x = 2*q + 4, 5*q + 3*x = 0. Solve -3*z - 30 = -3*w, -4*z - 2*w - 13 = -q for z. -5 Let i = -623 + 630. Solve 0 = 5*t - 2*d - 1, -3*d = i + 2 for t. -1 Let c(d) be the second derivative of -d**3/6 + 12*d**2 + 2*d. Let q be c(10). Let r be 4/q - 133/(-49). Solve -4*w - 15 = -3*i, 7*i - r*w = 4*i + 12 for i. 1 Suppose 12 = -6*d - 0. Let q be d/(-4)*(5 - 3). Solve -f + 4*c + 11 + q = 0, f = -4*c - 12 for f. 0 Let j = 1 - -2. Suppose -s = -3 - j. Let m be 32/s + (-3)/9. Solve 5*t + 9 = 4*n, 4*t = -0*n + m*n - 9 for t. -1 Suppose 0 = 5*x + 10, -2*u = u + x - 4. Solve u*l + 11 + 2 = 3*j, 0 = 4*j + 5*l + 21 for j. 1 Let v = 5 + 4. Suppose -59 - v = 4*x. Let i = x + 21. Solve u + 16 = -i*j - 4*u, 5*u = 3*j - 23 for j. 1 Let t be ((-6)/18 - 2/(-6)) + 18. Suppose 3 = -3*j, 0 = 4*g - 3*j + j - t. Solve 3*r = r - 3*m - 4, -4*m = 2*r + g for r. -2 Suppose -4*i - 4 = -16. Solve 5*v - 5*m = -25, -i*m + 0 + 6 = 0 for v. -3 Suppose -3*h = -2*w - 50, -4*h + 75 = 5*w - 6*w. Solve -5*x = 4*t - 45, 3*x + 0*t = -t + h for x. 5 Suppose 209 - 9 = 50*w. Solve 0 = 5*t + w*q + 27, q = -4*t - 3*q - 24 for t. -3 Let n(z) = z + 56. Let c(f) = f + 1. Let l(q) = 6*c(q) - n(q). Let m be l(10). Solve u + 2*p + 7 = m, -u - 5*p = -p + 9 for u. -5 Suppose 5*f - 294 + 184 = 0. Solve -3*s + 5*w = -f, 3*s - 5*w = -s + 21 for s. -1 Suppose -2*a = -2, -2*a - a = -v + 11. Suppose -5*q + 2*o + 22 = 5*o, o - v = -3*q. Solve 6*r - 4*r = -3*n, 0 = 2*r - q*n + 16 for r. -3 Suppose -3*i + 2*f = -49, 7*i - 54 = 3*i - 3*f. Suppose 7*h - i = 4*h. Solve -4 = -h*u - 3*x - 13, 3*u + 17 = 4*x for u. -3 Let a(d) = d**2 - 8. Let p be a(-6). Let r be 2 + -2 + 0 + 2. Let b be 705/135 - 4/18. Solve -5*l + 9 + 18 = -r*y, 3*y - b*l + p = 0 for y. -1 Suppose 1 = -l - 1. Let s(w) = 5*w**2 - 4*w - 3. Let u be s(l). Solve 0 = -2*i - 10, i = -3*d - d - u for d. -5 Let w = 30 + -28. Let b(m) = 13*m - 21. Let l be b(w). Solve j + s + 11 - l = 0, 3*j = 3*s - 6 for j. -4 Suppose -2*a + 30 = 5*x, -2*x + 2*a = x - 18. Suppose 3*l - x - 12 = 0. Solve 12 = -4*j - 4*h, -3*h - l - 3 = 2*j for j. 0 Let z(f) = 9*f**3 - 10 - 22*f**3 - f + 14*f**3 - 4*f**2. Let h be z(5). Solve o - 3 = -0*y + y, 3*y + h = 2*o for o. -1 Suppose 12 = 3*h + z, 0 = 3*h - 0*h + 4*z - 21. Suppose -5*l = 4*f + 5, -4*l = -0*l + 4. Solve f = -w + i - 1, -h*i - 5 = 5*w for w. -1 Let i(v) = -v**3 - 17*v**2 + v + 24. Let n be i(-17). Let d = n - 4. Solve 2*f + 2*a - d = 3, -f + 2*a - 9 = 0 for f. -1 Let z = 9 - 5. Suppose -3 = -z*c + 9. Suppose -5*a = -k - 164, 5*a - c*k - 176 = k. Solve a = -4*j - 3*p, 0 = -5*j + 4*p - 8 - 1 for j. -5 Suppose -x + 2*x - h = 32, h + 62 = 2*x. Suppose 7*p = 2*p - x. Let c be 6*(9/p - -2). Solve 3*j - 3*d = c, 3*d + 7 = -j + 2*d for j. -3 Suppose 0*a = -3*n - 5*a - 10, -4*a = 5*n - 5. Suppose i + 3 = 0, 4*l + 4*i - 8 = -0*l. Solve -r - 14 = -n*j + r, j + l = 3*r for j. 4 Let g(x) = x**2 + 9*x - 12. Let p be g(-10). Let h be (-6)/p - 2/(0 + 2). Solve -5*s = -b + 22, -h = b - 4 for s. -4 Let j be 0 - -1 - (3/1 + -4). Solve 0 = -4*p - 3*q + 16, 3*p - 4*p - j*q = -9 for p. 1 Suppose -3*i = -6*i, -b - 3*i = -17. Let w = b + -14. Suppose -3*k = w*f - 39, 4*k - 4*f = -f + 31. Solve 5*s + k = -4*x, 0*s - 2*s = 4*x + 4 for s. -2 Suppose 3*h = 3*s - 0*s - 6, 4*h = 5*s - 12. Suppose -5 = h*p - 9. Solve c = -3*i - 3, i + 3 = p*c + 2 for i. -1 Suppose -5*r + 15 = -10. Solve -3*i - 5*u = -2*i, 0 = -2*i - r*u for i. 0 Suppose 7*a = 25*a - 36. Solve -3*n + 34 = 5*y, -4*n + a*y + 4 = 2 for n. 3 Suppose -5*w = -41 + 351. Let u = -57 - w. Solve -2*p - 8 = 0, s + 4*p = u*s - 8 for s. -2 Let y(b) = -2*b**2 - 16*b - 9. Let a be y(-8). Suppose 0 = f + 3*f + 60. Let r = a - f. Solve -5*g = 3*m - r, 4*m - 11 = -3 for g. 0 Suppose -460*m = -471*m + 33. Solve 2*w + 5*r = -2*w - 13, 4*w + m*r = -11 for w. -2 Let k be ((0 - -4) + (-7 - -4))*11. Let z = 12 - k. Solve 4*d - z = v, 2*d + 3*v + 7 = 6*v for d. 1 Let w be (1 - 0) + (-4)/(-26) + (-850)/(-221). Let f = -1 - 0. Let o be (0/(-1))/(2*f). Solve -4*c - w = -3*b + 4*b, o = c + 4*b - 10 for c. -2 Suppose -134*p - 135 = -143*p. Solve 4*y - 12 = k, -3*k - 4*y = -13 - p for k. 4 Suppose -7*q + 5*q + 80 = 0. Let b = -30 + q. Solve 5*x = 3*o - 0*x - b, 0 = 2*o - 2*x - 4 for o. 0 Suppose -9*t + 17 = 4*h - 10*t, 12 = 4*t. Solve -3*b - 12 = 0, h*m - 3*b = -2*b - 6 for m. -2 Let y(a) = -a**3 + 5*a**2 - 16. Let m be y(3). Solve -2*g - 2 - m = -3*p, -5*p - 5*g + 40 = 0 for p. 4 Let u = -28 + 34. Let y = u - 1. Solve 3*z = -z + y*r + 5, 5 = -r for z. -5 Let l be (-10)/1*(-6)/15. Suppose l*x + 0*s - 34 = 2*s, -5*s + 13 = 4*x. Solve 5*g + x = 2, -4*b + 1 = -5*g for b. -1 Let i(l) = l**2 - 3. Let g be i(3). Suppose -5*j = -g*j + 5. Solve -j*d + 5*x = 0, d = -0*x - 2*x + 9 for d. 3 Suppose -3*t - 7 = -5*s, 0*t + 2*t + 8 = 5*s. Solve -3*o + 10 = c, -s = 3*c + o - 0 for c. -2 Let g(v) = v**3 - 7*v**2 + 7*v - 4. Let j be 10 - (-3)/(12/(-16)). Let c be g(j). Solve -5 = -2*z - f, -c*f + 11 = 2*z + 3 for z. 1 Let k(f) = 3*f**2 + 12*f - 11. Let m be k(-6). Solve -b = -4*l + 21, -3*b - m = 2*b for l. 4 Suppose -2*s - 2*t - t = -9, 2*s - 4*t + 26 = 0. Let p = 7 + s. Suppose -4*f = -r, -6 = -r + f - 3. Solve p*w = -0*w + 4*d - 20, 3*d + 20 = -r*w for w. -5 Suppose -6*v + 7*v - 3 = 0. Solve 0*i - 22 = o - 5*i, 4*o = v*i - 3 for o. 3 Let q be 9/(-6)*(-1 + (0 - 1)). Solve 20 = -2*r - q*r + 3*l, 2*l = 3*r + 12 for r. -4 Let v be 7 - (-1 - (4 + -9)). Let y = 3 + -2. Let s be -3 + 14 - (-2 + y). Solve t = -v*l + 4*t + s, 4*t + 16 = 2*l for l. 0 Suppose -16*l = -14*l - 3*c - 19, 0 = -4*l + 2*c + 26. Solve n + 4*d - 7*d - l = 0, -4*d - 11 = 3*n for n. -1 Suppose -k + 12 = -13. Suppose -r = 4*r - k. Solve 2*j + t - 13 = -j, -5*j + 35 = -r*t for j. 5 Suppose -2*x - 6 = 5*q - q, q - 3 = -2*x. Solve -3 = -x*g + t - 2, -3*g - 2*t = -7 for g. 1 Suppose -18 = -g - 8*g. Suppose -g*s = -5*s + 3*m + 33, 3*m - 12 = 0. Solve -f - 2*r - s = -7*r, -30 = -2*f - 5*r for f. 5 Let j be -1*8*(-2 - (4 + -1)). Let l be ((-12)/4)/(6/76). Let w = j + l. Solve 2*d + w = -2*y - y, 0 = -2*y - 2*d for y. -2 Suppose 0 = -2*c + 37 - 29. Solve -4*m + c*u = -0*u - 4, -3*m - u = 1 for m. 0 Let n(p) = 174*p + 1049. Let h be n(-6). Solve 0 = 3*c + h*b + 7, -11*b + 7*b = -3*c + 11 for c. 1 Suppose 0 = -23*a + 30*a + 77. Let o be (1 + -1)*11/a. Solve -2*k + 7*k + 4*f + 7 = 0, o = -2*k - 2*f - 2 for k. -3 Suppose 0 = -3*t - n + 3, -3*n = -3*t - 2*n + 9. Solve -5*d + 10*d + 4*c = 35, 3*d = t*
{ "pile_set_name": "DM Mathematics" }
**3 - 4*p**2 - p - 9981 What is the d'th term of 3401194, 3401193, 3401192, 3401191, 3401190, 3401189? -d + 3401195 What is the o'th term of 1439, 1251, 1063, 875, 687? -188*o + 1627 What is the y'th term of 302, 2456, 8316, 19736, 38570, 66672, 105896? 309*y**3 - y**2 - 6*y What is the r'th term of 3148, 3136, 3122, 3106, 3088? -r**2 - 9*r + 3158 What is the m'th term of -501, -2053, -4657, -8313? -526*m**2 + 26*m - 1 What is the l'th term of 11504, 46008, 103504, 183992? 11496*l**2 + 16*l - 8 What is the j'th term of -243, -707, -1171, -1635, -2099, -2563? -464*j + 221 What is the r'th term of 4136298, 4136299, 4136300? r + 4136297 What is the z'th term of 1440, 1429, 1404, 1365, 1312? -7*z**2 + 10*z + 1437 What is the g'th term of 61, -28, -261, -710, -1447, -2544, -4073, -6106? -12*g**3 - 5*g + 78 What is the j'th term of 814, 1615, 2408, 3187, 3946, 4679? -j**3 + 2*j**2 + 802*j + 11 What is the h'th term of -18, 17, 154, 447, 950, 1717, 2802? 9*h**3 - 3*h**2 - 19*h - 5 What is the f'th term of 223, 420, 597, 748, 867, 948, 985? -f**3 - 4*f**2 + 216*f + 12 What is the l'th term of 67045, 134086, 201127, 268168, 335209? 67041*l + 4 What is the p'th term of 37825, 75642, 113459, 151276? 37817*p + 8 What is the w'th term of 436806, 436804, 436800, 436794, 436786, 436776? -w**2 + w + 436806 What is the h'th term of 18799, 75209, 169229, 300859, 470099, 676949, 921409? 18805*h**2 - 5*h - 1 What is the u'th term of -6345, -12565, -18785, -25005, -31225? -6220*u - 125 What is the g'th term of 34, 6, -76, -206, -378, -586, -824? g**3 - 33*g**2 + 64*g + 2 What is the d'th term of 782, 2320, 4604, 7634? 373*d**2 + 419*d - 10 What is the q'th term of 1042, 1013, 964, 895, 806, 697? -10*q**2 + q + 1051 What is the i'th term of -233, -943, -2125, -3779, -5905, -8503, -11573? -236*i**2 - 2*i + 5 What is the z'th term of 633, 561, 489? -72*z + 705 What is the h'th term of -156, -347, -614, -951, -1352? h**3 - 44*h**2 - 66*h - 47 What is the z'th term of -3064, -6190, -9304, -12400, -15472? z**3 - 3133*z + 68 What is the l'th term of -120098, -120103, -120108, -120113, -120118, -120123? -5*l - 120093 What is the j'th term of 121400, 121393, 121382, 121367? -2*j**2 - j + 121403 What is the t'th term of 1692, 3168, 4644, 6120, 7596? 1476*t + 216 What is the t'th term of -3771, -3790, -3829, -3894, -3991, -4126, -4305? -t**3 - 4*t**2 - 3766 What is the g'th term of -551, -1035, -1451, -1799, -2079? 34*g**2 - 586*g + 1 What is the i'th term of 134980, 539910, 1214792, 2159626? 134976*i**2 + 2*i + 2 What is the s'th term of -11135, -22265, -33395, -44525, -55655? -11130*s - 5 What is the v'th term of -3382, -13518, -30394, -53998, -84318? 2*v**3 - 3382*v**2 - 4*v + 2 What is the g'th term of 1089995, 1089992, 1089987, 1089980, 1089971, 1089960, 1089947? -g**2 + 1089996 What is the o'th term of -7825, -15643, -23461, -31279, -39097, -46915? -7818*o - 7 What is the t'th term of 83, 247, 579, 1163, 2083, 3423, 5267? 14*t**3 + 66*t + 3 What is the p'th term of 806253, 806251, 806249? -2*p + 806255 What is the b'th term of -351, -352, -343, -318, -271, -196, -87? b**3 - b**2 - 5*b - 346 What is the p'th term of 3361, 3365, 3371, 3379, 3389, 3401, 3415? p**2 + p + 3359 What is the d'th term of -85296, -85317, -85338, -85359, -85380? -21*d - 85275 What is the k'th term of -1404, -2825, -4246, -5667, -7088, -8509? -1421*k + 17 What is the i'th term of 700, 567, 436, 307, 180, 55, -68? i**2 - 136*i + 835 What is the y'th term of 15157, 15160, 15167, 15184, 15217? y**3 - 4*y**2 + 8*y + 15152 What is the k'th term of 7803, 7802, 7801, 7800? -k + 7804 What is the s'th term of 108, 424, 942, 1662, 2584, 3708, 5034? 101*s**2 + 13*s - 6 What is the z'th term of 244, 321, 476, 745, 1164, 1769? 6*z**3 + 3*z**2 + 26*z + 209 What is the w'th term of -20502, -20504, -20510, -20520, -20534, -20552, -20574? -2*w**2 + 4*w - 20504 What is the s'th term of -22182, -88479, -198974, -353667, -552558? -22099*s**2 - 83 What is the d'th term of -14450, -14462, -14484, -14516, -14558, -14610, -14672? -5*d**2 + 3*d - 14448 What is the a'th term of -1694, -3394, -5118, -6878, -8686? -2*a**3 - 1686*a - 6 What is the x'th term of 469705, 939404, 1409103, 1878802? 469699*x + 6 What is the i'th term of 3116, 6080, 9036, 11978, 14900, 17796? -i**3 + 2*i**2 + 2965*i + 150 What is the q'th term of -2384304, -2384300, -2384294, -2384286, -2384276? q**2 + q - 2384306 What is the a'th term of -81, -24, 121, 396, 843? 7*a**3 + 2*a**2 + 2*a - 92 What is the a'th term of -286, -242, -108, 164, 622? 8*a**3 - 3*a**2 - 3*a - 288 What is the f'th term of -1487, -1356, -1225, -1094, -963, -832? 131*f - 1618 What is the v'th term of -77, -54, -1, 94, 243, 458? 2*v**3 + 3*v**2 - 82 What is the d'th term of 319, 657, 1003, 1363, 1743, 2149, 2587? d**3 - 2*d**2 + 337*d - 17 What is the i'th term of 2720, 2681, 2626, 2549, 2444? -i**3 - 2*i**2 - 26*i + 2749 What is the y'th term of 48672, 48673, 48674? y + 48671 What is the b'th term of -206, -386, -686, -1106, -1646, -2306? -60*b**2 - 146 What is the n'th term of -368, -1520, -4250, -9350, -17612, -29828? -132*n**3 + 3*n**2 - 237*n - 2 What is the l'th term of -60, -104, -138, -162? 5*l**2 - 59*l - 6 What is the v'th term of 54, -4, -184, -546, -1150? -10*v**3 - v**2 + 15*v + 50 What is the a'th term of -270, -542, -806, -1056, -1286, -1490? a**3 - 2*a**2 - 273*a + 4 What is the d'th term of -7982, -7983, -7976, -7955, -7914, -7847, -7748? d**3 - 2*d**2 - 2*d - 7979 What is the t'th term of -768, -768, -778, -798, -828? -5*t**2 + 15*t - 778 What is the z'th term of 84748, 169492, 254236? 84744*z + 4 What is the f'th term of -3081, -24779, -83677, -198375, -387473, -669571, -1063269, -1587167? -3100*f**3 + 2*f + 17 What is the f'th term of 86, -20, -254, -676, -1346, -2324, -3670? -10*f**3 - 4*f**2 - 24*f + 124 What is the n'th term of 8715, 8717, 8719, 8721? 2*n + 8713 What is the p'th term of -944, -958, -974, -992, -1012, -1034? -p**2 - 11*p - 932 What is the d'th term of 48, 41, 36, 33, 32, 33, 36? d**2 - 10*d + 57 What is the q'th term of -5853, -23565, -53091, -94437, -147609, -212613? -q**3 - 5901*q**2 - 2*q + 51 What is the o'th term of 8754, 8740, 8722, 8700, 8674, 8644, 8610? -2*o**2 - 8*o + 8764 What is the d'th term of -17211, -17063, -16893, -16689, -16439? 2*d**3 - d**2 + 137*d - 17349 What is the i'th term of -2170, -2151, -2106, -2023, -1890, -1695, -1426, -1071? 2*i**3 + i**2 + 2*i - 2175 What is the t'th term of 81, 279, 595, 1029, 1581, 2251? 59*t**2 + 21*t + 1 What is the o'th term of -51797, -51796, -51795? o - 51798 What is the d'th term of 5542, 11126, 16702, 22264, 27806, 33322? -d**3 + 2*d**2 + 5585*d - 44 What is the t'th term of -200, -310, -490, -746, -1084? -t**3 - 29*t**2 - 16*t - 154 What is the u'th term of -27242, -27239, -27236? 3*u - 27245 What is the l'th term of -557, -668, -779? -111*l - 446 What is the y'th term of -35376, -35373, -35366, -35355? 2*y**2 - 3*y - 35375 What is the z'th term of 7036, 14056, 21076, 28096? 7020*z + 16 What is the c'th term of 112, 221, 332, 445, 560, 677? c**2 + 106*c + 5 What is the c'th term of -53504, -53490, -53468, -53438, -53400, -53354? 4*c**2 + 2*c - 53510 What is the r'th term of -37004, -37005, -37008, -37013, -37020, -37029? -r**2 + 2*r - 37005 What is the u'th term of -41065, -41062, -41059, -41056, -41053, -41050? 3*u - 41068 What is the a'th term of 1685, 3423, 5281, 7319, 9597, 12175, 15113? 10*a**3 + 1668*a + 7 What is the i'th term of -1798, -3615, -5450, -7303? -9*i**2 - 1790*i + 1 What is the m'th term of 2686, 10833, 24418, 43447, 67926, 97861, 133258, 174123? m**3 + 2713*m**2 + m - 29 What is the q'th term of -2558, -5196, -7840, -10490? -3*q**2 - 2629*q + 74 What is the h'th term of -36170, -36174, -36178, -36182, -36186? -4*h - 36166 What is the j'th term of -772, -759, -744, -727, -708, -687? j**2 + 10*j - 783 What is the o'th term of -52, 23, 148, 323, 548, 823? 25*o**2 - 77 What is the c'th term of 406, 1463, 3228, 5701, 8882, 12771, 17368? 354*c**2 - 5*c + 57 What is the z'th term of -1085, -1170, -1373, -1748, -2349, -3230, -4445? -9*z**3 - 5*z**2 - 7*z - 1064 What is the t'th term of 6367, 6402, 6437, 6472? 35*t + 6332 What is the j'th term of -7, -219, -641, -1273
{ "pile_set_name": "DM Mathematics" }
rt(80) - (sqrt(80)*-4 + sqrt(80) + sqrt(80)) - sqrt(80))/sqrt(8) + sqrt(10)) + 1. 1 + 9*sqrt(5) Simplify (4 + -2 + sqrt(2) - (sqrt(2) - (sqrt(2) + (sqrt(2) + -1 + sqrt(98))**2))) + ((1*sqrt(56))/sqrt(4) - sqrt(14))/(sqrt(343) + sqrt(343) + sqrt(343)*1). -15*sqrt(2) + 131 Simplify (sqrt(1701)/sqrt(7) - -1*(sqrt(3) - (sqrt(3) + -3))) + sqrt(36)/(sqrt(12)*1) + (sqrt(3) + (sqrt(3) - (1 + sqrt(27))))**2. 7 + 12*sqrt(3) Simplify (6*(sqrt(242) - ((-1*sqrt(242)*3 - sqrt(242)) + sqrt(242)))/sqrt(11))/((sqrt(1296) - sqrt(1296)*-2)/(sqrt(64)/(sqrt(16)/sqrt(2)))). 8*sqrt(11)/9 Simplify (sqrt(60)/(-2*sqrt(12)) + sqrt(30)/(-1*sqrt(6)) + -5 + (sqrt(5) - sqrt(20)) + sqrt(5) + sqrt(10)/(sqrt(4)/sqrt(2)))**2 + -1. 5*sqrt(5) + 101/4 Simplify (-3 + ((sqrt(1900) + (1 + sqrt(1900))**2)*5 + 3 - (1 + ((-1 + sqrt(1900))*-2)**2)) + -5)*-4. -7580 - 920*sqrt(19) Simplify 1*((-2*sqrt(242) + sqrt(242))*2 - ((1 + sqrt(242))*-1 + sqrt(242) + sqrt(242)))**2 + (sqrt(24) + (sqrt(24) - sqrt(24)*-3)*-5)/(sqrt(108)*2). -415*sqrt(2)/6 + 2179 Simplify (((sqrt(90)*-1 - sqrt(90))*-5)/((sqrt(18) - sqrt(36)/sqrt(2))/sqrt(9) + (sqrt(20)/sqrt(5))/sqrt(2)) + -4)*-1. -30*sqrt(5) + 4 Simplify (-2*(sqrt(567) + 3*sqrt(567) + -4 + sqrt(567)))**2 - 5*(sqrt(7) + sqrt(252)*-3)*-3. -1695*sqrt(7) + 56764 Simplify (6*-2*sqrt(22))/(sqrt(2) + 2*sqrt(2)*-2) + (-5*(sqrt(11)*4 - sqrt(11)) - (sqrt(1331) + 0)**2). -1331 - 11*sqrt(11) Simplify -5 + (1 + (-4 + (sqrt(405)*-2*5 - sqrt(405)) - -1*(0 + sqrt(405)*2)))**2. 486*sqrt(5) + 32809 Simplify (3 + sqrt(847) + sqrt(847) + (sqrt(847) + 1)**2 + -3 + (-3 + sqrt(847) + 2 - sqrt(847))**2 + 5)*4. 176*sqrt(7) + 3416 Simplify (-4*sqrt(182)/(2*(sqrt(7) - -1*sqrt(7))))/(sqrt(12)/(sqrt(384) + sqrt(384) + sqrt(384)*2)*6) + -5. -16*sqrt(13)/3 - 5 Simplify (1*(3*sqrt(143) - sqrt(143) - sqrt(143)) + sqrt(143) + sqrt(143)*-4*4 + sqrt(143))/(3*(sqrt(176) + -2*sqrt(176)*1)). 13*sqrt(13)/12 Simplify ((sqrt(35) - -1*sqrt(560)) + sqrt(875)*3 + sqrt(875))/(-1*1*sqrt(245) - sqrt(245) - sqrt(245)*2*2). -25*sqrt(7)/42 Simplify (5*sqrt(72)/sqrt(4)*4*-1)/(-3*sqrt(150) - (sqrt(216) - -2*sqrt(216))). 20*sqrt(3)/33 Simplify sqrt(7) + sqrt(7) + -4 + (sqrt(7) - sqrt(112)) + (sqrt(49)/sqrt(7) + 1 - sqrt(7)) + -5 + (4*-3*sqrt(7) - (sqrt(7)*-4 + -4)) + 4. -9*sqrt(7) Simplify (((2*sqrt(110) + sqrt(110))*3 - -4*(sqrt(110) + (sqrt(110) - (sqrt(110) - (sqrt(110)*-2 + sqrt(110) + sqrt(110))))))/(sqrt(810)*-2*2*6))**2. 1859/46656 Simplify (2 + (-4 + (-1*sqrt(405) - sqrt(405))*-1 + 1*(2 + sqrt(405) + sqrt(405)))*-2)**2. -864*sqrt(5) + 25956 Simplify 2 + ((sqrt(171) - -5*2*sqrt(171))*-1*5)/(-1*-2*sqrt(63)/(sqrt(7)*1)). -55*sqrt(19)/2 + 2 Simplify (-5*(sqrt(64) + -3*(sqrt(64) + (sqrt(64) - sqrt(64)*5) + sqrt(64)))/(-6*((sqrt(8) - sqrt(200)*-2) + sqrt(8))))**2. 1225/648 Simplify (0 + -2 + 5 + (sqrt(88) - 2*sqrt(88)*6)/(sqrt(1152) + sqrt(1152) + (sqrt(1152) - sqrt(1152)*2)) + -1)**2. -11*sqrt(11)/3 + 1907/144 Simplify (((sqrt(190) - (3*sqrt(190) + sqrt(190)))*-1 + -4*sqrt(190)*-4)/(sqrt(250)*-1 - 5*sqrt(50)/sqrt(5)))**2. 6859/100 Simplify 4*-3*(((sqrt(720) - (sqrt(720) + (-1 + sqrt(720))*5) - sqrt(720)) + sqrt(720))**2 - (sqrt(500)*2)**2*1) + -1. -192301 + 7200*sqrt(5) Simplify -4 + (1*sqrt(175)*-3*-5 - -3*-1*(sqrt(175) + 1))**2. -360*sqrt(7) + 25205 Simplify ((-1*(-1*sqrt(49) + sqrt(49)))/(sqrt(35)/sqrt(5)*-3) - ((3*sqrt(112) - sqrt(49)/sqrt(175)) + -5))**2. -118*sqrt(7) + 24992/25 Simplify -2*-5*1*(1 + sqrt(833))**2 + 3*1*sqrt(833)*-1 + 5 + 0. 119*sqrt(17) + 8345 Simplify (3*sqrt(216)*2*-3)/(sqrt(2) + sqrt(20)/(sqrt(10)*-1) + sqrt(2)*-1*1). 108*sqrt(3) Simplify (-6*(((sqrt(117) + 1*sqrt(117) - sqrt(117))/sqrt(9))**2 + sqrt(13) + -2) + (-2 + -2*1*sqrt(13)*5)**2)*-4. -4952 - 136*sqrt(13) Simplify (0 + (sqrt(125) + -1 + sqrt(125) + sqrt(125) + 3)*3 + -2 + 2 + sqrt(45) + -2)**2. 384*sqrt(5) + 11536 Simplify ((-1*sqrt(78)*2 - (sqrt(78) - -2*sqrt(78))*-1)/(sqrt(6) - sqrt(72)/(sqrt(12)*3) - sqrt(24)/(sqrt(4) + (sqrt(4) - sqrt(36)))) + 4)**2. 24*sqrt(13)/5 + 517/25 Simplify (((sqrt(121) - -3*sqrt(121)*-2)*-4*-5)/(sqrt(33)/sqrt(75) + (sqrt(44) - sqrt(132)/sqrt(3))))**2. 2750000 Simplify (4*2*(sqrt(121)*-2*2 - sqrt(121) - sqrt(121)))/(sqrt(44)/sqrt(4)*-4 + (3*sqrt(55))/sqrt(5)). 48*sqrt(11) Simplify (-3*6*-2*sqrt(91)*5)/(6*5*sqrt(63)*1). 2*sqrt(13) Simplify ((sqrt(99) + (sqrt(99)*-2 - sqrt(99))*6)/(sqrt(1089) + -3*sqrt(1089)) + -2)*2 + -4. -8 + 17*sqrt(11)/11 Simplify ((-5*2*sqrt(187) - sqrt(187) - (-3*(1*sqrt(187) + sqrt(187)) + sqrt(187)))*5)/(sqrt(704) + 1*sqrt(704) + (sqrt(121)*-3)/sqrt(11)) + -3. -30*sqrt(17)/13 - 3 Simplify ((sqrt(1728) - -2*sqrt(1728))*-1 + (sqrt(1728) + (sqrt(1728) - -1*sqrt(1728))*3 - sqrt(1728)))/(-1*sqrt(48)/sqrt(3)*-2). 9*sqrt(3) Simplify -4 + -4*sqrt(1700)*2*-3 - ((-1 + sqrt(1700) + 0 + -1 + (sqrt(1700)*2 - sqrt(1700)))**2 + -5). -6803 + 320*sqrt(17) Simplify (4 + (sqrt(605)*3 - (sqrt(90)/sqrt(2))/sqrt(9)))**2 - (-1 + -6*1*(sqrt(605)*-1)**2). 256*sqrt(5) + 8767 Simplify (-1*sqrt(252)*4 - sqrt(252) - (sqrt(252) + (sqrt(252) - (2*sqrt(252) + sqrt(252)))*-1))/(sqrt(16)/sqrt(4)*-2 - (sqrt(196) + -2*sqrt(196) - sqrt(4))). -4*sqrt(7) Simplify (0 + 2 + (-2*sqrt(80)*1 + sqrt(80) + 2*2*sqrt(80) - (-3*2*sqrt(80) + -5)))**2. 504*sqrt(5) + 6529 Simplify 5 + (sqrt(1377)*2 - sqrt(1377)) + sqrt(1377) + 5 + sqrt(17) + (sqrt(85)*1)/sqrt(5) + sqrt(17) - (sqrt(102)*-3*3)/(-3*sqrt(216)). 10 + 41*sqrt(17)/2 Simplify ((1*sqrt(264)*-2)/sqrt(8)*1)/((sqrt(135)*6 + sqrt(15))/(-2*sqrt(80))). 16*sqrt(11)/19 Simplify (-3*sqrt(2352) + sqrt(48))/(sqrt(100) - (sqrt(100) - (sqrt(100) - 3*-4*sqrt(100) - sqrt(100)))). -2*sqrt(3)/3 Simplify (sqrt(228)*1*-4 - sqrt(228) - sqrt(228) - (sqrt(228) + sqrt(228)*2*6))/(-5*sqrt(240)/(-1*sqrt(5))). -19*sqrt(19)/10 Simplify -4*((-2*sqrt(20)*2)/((-2*sqrt(36))/sqrt(9)) + (-4*-2*sqrt(30))/sqrt(6)*-2). 56*sqrt(5) Simplify (sqrt(108)/((-3*sqrt(6) + sqrt(6))*-5))/(sqrt(900) + sqrt(900) + -3*(sqrt(900) - (sqrt(900) - (sqrt(900) - sqrt(900)*-1))) + sqrt(900)) + 2. -sqrt(2)/300 + 2 Simplify (((sqrt(170) + sqrt(170)*2)*-2 + (2*sqrt(170)*-3 - sqrt(170)))*3)/((sqrt(1440) - sqrt(1440)*-1) + sqrt(1440) + (sqrt(150)/sqrt(3))/sqrt(5)). -39*sqrt(17)/37 Simplify ((-3*-1*sqrt(30))/sqrt(216))**2 - (sqrt(220)*-3)/(sqrt(44)/(sqrt(4)*1) + sqrt(11)). 5/4 + 3*sqrt(5) Simplify 1 + sqrt(425) + 0 + -3 + -5 - ((-2*sqrt(170)*2)/(-5*sqrt(250)))**2. -4647/625 + 5*sqrt(17) Simplify 3 + 1*1*(0 + sqrt(171)) + (sqrt(342) - (sqrt(342) + sqrt(342)*1))/(sqrt(2) + (sqrt(2) - sqrt(72)*6 - sqrt(2))). 3 + 108*sqrt(19)/35 Simplify (sqrt(35)*1*-5 - (sqrt(3500) + -2*sqrt(3500) - sqrt(3500)))/(sqrt(700) - 3*sqrt(700)*-1) + -4. -4 + 3*sqrt(5)/8 Simplify (sqrt(850) - (sqrt(850) + (sqrt(850) - 2*sqrt(850))) - sqrt(136)*6)/((-4*sqrt(8) - sqrt(2)) + sqrt(10)/sqrt(45)). 21*sqrt(17)/26 Simplify (((sqrt(243)*-1 + sqrt(243) - sqrt(243)) + sqrt(243))/sqrt(9))/(sqrt(9) + -2*sqrt(9)*-2) + (sqrt(18)/(sqrt(6) + sqrt(36)/sqrt(6))*6*1)**2. 27 Simplify (4*(1 + -2 + -4 + -2*sqrt(1900) + sqrt(1900) + sqrt(1900))*6 + 4)**2*-3. -40368 Simplify -2*(-4*(1 + sqrt(704)) + (sqrt(704) + (sqrt(704) - (-2 + sqrt(704)*-2)))**2 + (1 + sqrt(704) + 1 - 5*(sqrt(704) - (sqrt(704)*-2)**2))). -50692 - 128*sqrt(11) Simplify ((sqrt(252) + sqrt(252)*-1 - sqrt(252)) + 1 + 4*sqrt(252)*-3)**2 - (sqrt(84)/(-1*sqrt(1452) + sqrt(12)) + 4 + -5 + sqrt(63))**2. -751*sqrt(7)/5 + 4252913/100 Simplify ((-3 + 4 + sqrt(637)*3)**2 + 5 + -1)*3. 126*sqrt(13) + 17214 Simplify 2*(-3 + (5*(sqrt(325) + 1 + sqrt(325) + sqrt(325) + -5 - (sqrt(325) - (sqrt(325) - (2 + sqrt(325)*2)) - sqrt(325))))**2 + -5). -6000*sqrt(13) + 66784 Simplify (2 + ((-2 + sqrt(833) + 1 - (sqrt(833) - (sqrt(833) + 6*(sqrt(833) + -2) + sqrt(833))))*-3)**2)*-6. -2887986 + 78624*sqrt(17) Simplify (((sqrt(70)*-1*-1 - sqrt(70) - sqrt(70)) + 1*sqrt(70)*-1)*-3)/((sqrt(40) - sqrt(4840)*-2)*-4) + 0. -3*sqrt(7)/92 Simplify -1*(0 + 4 + ((sqrt(64) - (sqrt(64) + 2*sqrt(64) + sqrt(64)))/sqrt(4))/(-2*sqrt(512)) + 3). -7 - 3*sqrt(2)/16 Simplify 1*(-4 + (sqrt(468) + 2*sqrt(468)*6)**2) + ((3 + sqrt(468) - sqrt(468))*-3 - sqrt(468)) + sqrt(468) + ((sqrt(468) + sqrt(468) + 1)*2)**2. 96*sqrt(13) + 86571 Simplify ((sqrt(1377) - ((sqrt(1377) + -2)*-3 + sqrt(1377) - sqrt(1377))) + 3)**2 - -4*(sqrt(833) + (sqrt(833) + 1)**2 + sq
{ "pile_set_name": "DM Mathematics" }
the prime factors of d. 2, 3 Suppose -2*s + 28 = 2*f, -5*s - 69 = -4*f + 14. List the prime factors of f. 17 Let k(c) = -c**3 - 6*c**2 - 6*c - 1. Let d be k(-5). Suppose 2*w + 60 = 3*m, 3*w + 100 = m + d*m. List the prime factors of m. 2, 5 Let m = -40 + 128. What are the prime factors of m? 2, 11 Suppose -3*o + 10 = -o + 5*h, 3*o + 4*h - 8 = 0. List the prime factors of 6/(1 + 0 + o). 2, 3 Let l(g) = 2*g - 2 + 9 - 4. List the prime factors of l(3). 3 Let d be -1 - (18/3)/2. Let v be 24/d*4/(-6). Suppose -v*r = -9*r + 55. What are the prime factors of r? 11 Suppose m = -3*t + 14, 2*t = -3*m + t + 26. List the prime factors of m. 2 Let w(y) = y**3 + 11*y**2 - 3*y - 12. List the prime factors of w(-11). 3, 7 Let i = 0 - 3. Let s be (9 + i + -1)*3. List the prime factors of 6/s + (-53)/(-5). 11 Let b = -2 + 4. What are the prime factors of 4/5*15/b? 2, 3 Let o be 3 + (2 - (5 + 2)). Let d = o - -7. What are the prime factors of d? 5 Suppose 2*z + 5*a - 48 = 0, 36 = 4*z - 4*a - a. Suppose -3*n + 4*n = z. What are the prime factors of n? 2, 7 What are the prime factors of 209/3 + 1/3? 2, 5, 7 Let q be (1 - 0)/((-5)/15). Let r = 6 + q. Suppose 0 = -r*x + 4*o - 2 + 3, -2*x - 2 = -4*o. List the prime factors of x. 3 Let w(q) = 5*q - 3. Let z be (-2)/(-7) + (-24)/(-14). Suppose -2*d + 8 = z*f, 0 = 4*f - 2*d - 10. List the prime factors of w(f). 2, 3 Suppose 2*o = h - 12 - 62, 2*o - 4 = 0. List the prime factors of h. 2, 3, 13 Suppose 0 = -3*z + 5*z - 2. Suppose t + z = -3, -3*t = 2*d. List the prime factors of d. 2, 3 Let f = 8 - 5. Suppose f*j - 45 = -h, -5*h + 80 = 3*j + 23. List the prime factors of j. 2, 7 Suppose 0 = x + 4*z - 11, -2 = -z - 0*z. Suppose -2*u + 3*u = -x*s + 28, 4*u - 112 = 2*s. List the prime factors of u. 2, 7 Suppose 832 = 5*f + 192. Suppose 4*r - 3*o = f, 5*o = 9 + 11. List the prime factors of r. 5, 7 Let b = -28 - -9. Let w be 3/6 + (-118)/(-4). Let n = w + b. List the prime factors of n. 11 Let h be (0 - -6)*(-9)/6. Suppose 0 = 3*v - 5*d - 0*d - 25, -v + 4*d + 20 = 0. Let w = v - h. What are the prime factors of w? 3 Suppose m + 42 = 3*m. Suppose -z + m = 4*c, z + c + 6 = 2*z. List the prime factors of z. 3 Suppose 3*u = -5*v - 0*v + 16, -5*u = -5*v. Suppose v*c - 3 = 1. What are the prime factors of c? 2 Let b(j) = 2 + 1 + 2 - 2*j - 2. What are the prime factors of b(-3)? 3 Let b(j) = -3*j - 4. Let l(n) = 5*n - 2*n - 2*n - 4. Let t be l(0). What are the prime factors of b(t)? 2 Let d be (-18)/(-1)*(-40)/(-15). Let u = d - 27. What are the prime factors of u? 3, 7 Suppose 2*z + 28 = 6*z. List the prime factors of z. 7 Let k(s) = s**2 + s - 9. List the prime factors of k(12). 3, 7 Let k = -3 - -4. Let l(c) = -c**2 + 10*c**2 - 10*c**2 + 13*c**3. What are the prime factors of l(k)? 2, 3 Let u(h) = -h**2 + 8*h + 10. Let l be u(9). Let v = 2 + 1. What are the prime factors of (60/18)/(l/v)? 2, 5 Let g = -45 + 70. List the prime factors of g. 5 Let f be (-2)/5 - (-4)/10. Suppose 4*y = -f*y + 112. List the prime factors of y. 2, 7 Let x = 3 - 0. Suppose -q + 15 = -x*k, -4*q + 39 = -6*k + k. List the prime factors of (-2 - 1)/(q/(-20)). 2, 5 Suppose 3*x - 11 = 1. Suppose 0*h + 2*d + 96 = 4*h, -5*h - 4*d = -94. Suppose 0 = -x*r + 6 + h. What are the prime factors of r? 7 Suppose 28 = -3*u + 2*u. Let n = 62 + u. List the prime factors of n. 2, 17 Suppose 0 = -d + 4*d. Let p(i) = -2*i + 11. List the prime factors of p(d). 11 Let j(z) = -5*z**3 + z - 12*z**2 + 10*z**2 + 0*z. Let y be j(1). Let u = 15 + y. List the prime factors of u. 3 Let z(b) = -2*b. Let h be z(-1). List the prime factors of h - (3 + 12)/(-3). 7 Let a = -1 + 5. Suppose a*x = c - 1, -3*c = -5*x + 8 + 3. Let h(p) = p**3 + 8*p**2 + 4*p - 9. What are the prime factors of h(c)? 2, 3 Let w be 30/7 + 4/(-14). Suppose -5*h = 4*u - 121, -2*u + 2 = w. List the prime factors of h. 5 Let n = 31 - 29. What are the prime factors of n? 2 Let i(v) = 3*v**3 + v**2 + v. Let c be i(-1). Let w(g) = 6*g - 3*g + 0*g**3 + 3 - 2*g**2 - g**3. What are the prime factors of w(c)? 3 Let m(p) be the second derivative of 4*p**4/3 - 2*p. What are the prime factors of m(1)? 2 Let p(q) = -12*q + 4. Let i be p(3). List the prime factors of (-152)/i - (-1)/4. 5 Suppose 2*y = -3*x + 3, -4*x - 10 = y - 3*y. Suppose 4*r - 9 = y. List the prime factors of r. 3 Let t(q) = 3*q**2 - 7*q. Let v(o) = -7*o**2 + 15*o + 1. Let n(c) = -5*t(c) - 2*v(c). Let x be n(4). Suppose -30 = -3*k - x*k. List the prime factors of k. 2, 3 Suppose -3*l + 4 = -l. Suppose -v + l = -0*v. List the prime factors of v. 2 Suppose l + 6*u = u, -3*l = 3*u + 24. What are the prime factors of 3/((-5)/(l/3))? 2 Let a = 1 + -4. Let d = 6 + a. List the prime factors of d. 3 Let h be (-24)/(-4)*-1*-1. Let f = h - -8. What are the prime factors of f? 2, 7 Let z(h) = -h**2 + 3*h + 2. Let f be z(-2). Let t(u) = -4 - u + 2 + 9. List the prime factors of t(f). 3, 5 List the prime factors of (4/(-4))/(4/(-556)). 139 Suppose -6 = 5*o - 21. Suppose 2*u + 41 = o*c, 2*c - 4*u + 0*u = 38. List the prime factors of c. 11 Let x(t) = -2*t - 3 - 6 - 6. List the prime factors of x(-10). 5 Let m = 21 + 12. What are the prime factors of m? 3, 11 Suppose 0*j + j = 21. List the prime factors of j. 3, 7 Let i be 1 + -1 + (-6)/(-3). Let a(v) = -2*v**2 + 11*v - 5 - 3*v + v**i. What are the prime factors of a(5)? 2, 5 Let g be 3/(-3) - 8*-3. Suppose 3*t - g = 2*t. What are the prime factors of t? 23 Let n = -6 + 5. Let q(t) = -3*t**3 - 1. Let z be q(n). Suppose z = -2*j + 6. What are the prime factors of j? 2 Let l(n) = -4 + 5*n + 2 + n. Let t be l(3). Suppose -2*p + 6 = -t. List the prime factors of p. 11 Let a = 3 + -11. Let c = 6 - a. Let s = c + -9. List the prime factors of s. 5 Let i(s) = s**2 - 5*s - 10. Let f be i(6). Let a = 7 + f. List the prime factors of a. 3 Let y = 5 - 8. Let x(d) = -d + 2. Let u be x(y). Let g = 2 + u. What are the prime factors of g? 7 Let n be (180/(-8))/(-3)*2. Suppose 3*l - 43 = -4*c, -2*l - n = -5*l. What are the prime factors of c? 7 Let u(q) = 2*q - 8. Let x be u(4). Suppose -5*h + 52 + 63 = x. What are the prime factors of h? 23 Suppose 0 = -n - 0 + 3. Let m be (-43)/(-9) - (-20)/90. Suppose 0 = b - m*r - 5, 12 = n*b - 3*r - 3. What are the prime factors of b? 5 Let d(w) = 2*w + 2*w + 0 - 2*w + 6. What are the prime factors of d(11)? 2, 7 Let m be 4/(-8) - 90/4. Let g be m/(-7) + (-4)/14. Suppose g*l - l = 2*r + 20, 50 = 4*l - 2*r. What are the prime factors of l? 3, 5 Let c(x) = 4*x - 1. Let w be c(1). Let i(a) = -3*a**w + 3*a + 5*a - 7*a**2 + 9 + 2*a**3. What are the prime factors of i(-8)? 3 Let q(g) = 2 + 4 - 2*g + 5. What are the prime factors of q(-8)? 3 Suppose -78 = o - 4*o. List the prime factors of o. 2, 13 Let t be (1 - -5)*(-10)/3. Let g = t - -28. What are the prime factors of g? 2 Suppose -3*c + 6*c - 5*r - 16 = 0, 0 = -4*c + 2*r + 12. Suppose c*t + 3 = -y, -2*t - 5*y = -4*t - 33. List the prime factors of t/(-14) + (-47)/(-7). 7 Let y(h) = h**3 + 11*h**2 + 3*h - 7. What are the prime factors of y(-9)? 2 Let c(t) = 9*t + 1. Suppose 0 = 5*z + 3 - 8. Let l = z - 0. What are the prime factors of c(l)? 2, 5 Let y(x) = x**2 + 2*x - 4. Let b be y(-4). Suppose -b*u = 6*t - t - 61, 3*u - t = 41. What are the prime factors of u? 2, 7 Let b(l) = 16*l**2 - 4*l + 15. List the prime factors of b(3). 3, 7 Let k = -39 - -80. List the prime factors of k. 41 Suppose 8*i - 149 = -4*r + 3*i, 0 = i + 3. List the prime factors of r. 41 Let g = 12 - 2. What are the prime factors of g? 2, 5 What are the prime factors of (-81)/(-6) - (-3)/(-6)? 13 Let u(p) = -p**3 - 7*p**2 - 8*p - 5. Let g be u(-6). Let n = 4 + g. What are the prime factors of n? 11 Let b be 2/12 + 89/6. Let h = b - -1. What are the prime factors of h? 2 Suppose 0 = -2*f + 4. Suppose -19 = -4*z + 1. Suppose f*h = -2*c + 5*c - 13, z*h = 20. List the prime factors of c. 7 Suppose 0 = -3*m - 0*m + 15. Suppose -m*p = 5*h - 295, -6*h = -h - 25. Suppose 6*b + 4*u = 4*b + p, -b = -u - 12. What are the prime factors of b? 17 Let f be (27/6)/(2/4). Let g = f + -5. List the prime factors of g. 2 Let q(v) = 2*v**2 - 5*v - 15. List the prime factors of q(-6). 3, 29 Let m(v) = -3*v - 13. Let a(g) = 4*g + 19. Let h(d) = 5*a(d) + 7*m(d). Let y = -2 + -2. What are the prime factors
{ "pile_set_name": "DM Mathematics" }
-5000 What is -8149.34 rounded to the nearest one hundred? -8100 What is 8925800 rounded to the nearest 100000? 8900000 Round 0.0001514223 to 5 decimal places. 0.00015 What is 240.416 rounded to the nearest one hundred? 200 What is 10377700 rounded to the nearest 1000000? 10000000 What is -0.0000035688 rounded to 5 dps? 0 Round 35.6784 to zero dps. 36 What is -525.317 rounded to the nearest 1000? -1000 Round -8.90229 to 2 dps. -8.9 Round -0.00000067894 to 6 dps. -0.000001 What is -48272.4 rounded to the nearest 100? -48300 What is -0.2142465 rounded to 3 dps? -0.214 What is 2614665000 rounded to the nearest 1000000? 2615000000 What is 0.00318891 rounded to five dps? 0.00319 Round 3960.3969 to the nearest 100. 4000 What is -0.0093656721 rounded to 4 dps? -0.0094 Round 1878.05 to the nearest one hundred. 1900 What is 3575.306 rounded to the nearest 10? 3580 What is -1160640 rounded to the nearest 100000? -1200000 Round 226130.5 to the nearest one thousand. 226000 What is -175.911 rounded to the nearest integer? -176 What is -219153500 rounded to the nearest 100000? -219200000 What is -0.0000591307 rounded to six decimal places? -0.000059 Round 2929150 to the nearest 1000000. 3000000 Round 4925.98 to 0 dps. 4926 Round -0.0096561 to five dps. -0.00966 What is 62555.3 rounded to the nearest one hundred? 62600 Round -420.5921 to the nearest 100. -400 What is -7.45384 rounded to one dp? -7.5 What is -0.0300187 rounded to four dps? -0.03 Round 37.39054 to two decimal places. 37.39 What is -0.000619888 rounded to six dps? -0.00062 What is -18003.42 rounded to the nearest 10? -18000 Round 0.78804 to 2 dps. 0.79 What is -0.0138811 rounded to 4 decimal places? -0.0139 Round -66482.8 to the nearest one hundred thousand. -100000 Round 0.564242 to one dp. 0.6 What is -0.021588605 rounded to three decimal places? -0.022 Round -0.000006436442 to 5 dps. -0.00001 What is -247.05 rounded to the nearest ten? -250 What is -0.0000022778 rounded to 7 decimal places? -0.0000023 What is 351912 rounded to the nearest 10000? 350000 What is 0.0000028462587 rounded to six decimal places? 0.000003 Round -0.000019708 to 7 decimal places. -0.0000197 Round 0.061574 to three decimal places. 0.062 Round 0.1716156 to 4 decimal places. 0.1716 Round -8318527900 to the nearest 1000000. -8319000000 Round 1.164613 to 3 decimal places. 1.165 What is -0.0000001763139 rounded to 7 dps? -0.0000002 Round -0.0002011255 to 7 dps. -0.0002011 Round -1.228553 to 3 decimal places. -1.229 What is -134595.6 rounded to the nearest 1000? -135000 What is -0.0001403348 rounded to six dps? -0.00014 Round -0.0045129 to 3 decimal places. -0.005 What is -5836743 rounded to the nearest one million? -6000000 What is 0.1387238 rounded to four dps? 0.1387 What is 0.0660433 rounded to two dps? 0.07 What is -16655.99 rounded to 0 dps? -16656 Round 0.4172906 to 1 dp. 0.4 Round -16157920 to the nearest 100000. -16200000 Round 1346.465 to 0 dps. 1346 What is 4.872074 rounded to 1 dp? 4.9 What is -6.2843 rounded to zero decimal places? -6 What is 0.0209271 rounded to 4 dps? 0.0209 What is -14540987 rounded to the nearest ten thousand? -14540000 Round -0.001910646 to four decimal places. -0.0019 Round -65.15664 to 0 dps. -65 What is -191081000 rounded to the nearest 100000? -191100000 What is 4.5589093 rounded to 1 dp? 4.6 Round 0.027881227 to two decimal places. 0.03 Round 32.8016 to two decimal places. 32.8 What is 37.0252 rounded to one decimal place? 37 What is 3.38812 rounded to two dps? 3.39 What is 0.000443014 rounded to four dps? 0.0004 Round -806.3 to the nearest ten. -810 Round 35.271576 to 2 dps. 35.27 What is -56223806 rounded to the nearest 100000? -56200000 Round -223437000 to the nearest 1000000. -223000000 Round 0.006524944 to three dps. 0.007 What is -12975400 rounded to the nearest 100000? -13000000 Round 575.95 to the nearest ten. 580 Round -10818.74 to the nearest 100. -10800 Round 2576094 to the nearest one thousand. 2576000 What is -13260350 rounded to the nearest 10000? -13260000 Round 0.000819963 to six dps. 0.00082 What is 1879.92 rounded to the nearest 10? 1880 Round -946.4 to the nearest 10. -950 What is 91.71261 rounded to 0 decimal places? 92 Round 0.000025051348 to 6 decimal places. 0.000025 What is -51404.79 rounded to the nearest one hundred? -51400 Round 16.756556 to 0 decimal places. 17 What is 42607390 rounded to the nearest 100000? 42600000 What is 148161.9 rounded to the nearest 10000? 150000 Round -1.4383535 to 1 decimal place. -1.4 What is -0.007132 rounded to 4 decimal places? -0.0071 What is 0.079367 rounded to 3 dps? 0.079 What is 0.10047565 rounded to three decimal places? 0.1 Round -13.3951265 to 1 dp. -13.4 What is 1330624 rounded to the nearest one hundred thousand? 1300000 What is -5.88429 rounded to 0 decimal places? -6 Round -1157.1423 to 1 decimal place. -1157.1 What is 0.005895101 rounded to six decimal places? 0.005895 What is 0.00010514404 rounded to 7 dps? 0.0001051 What is 0.000055182705 rounded to 7 decimal places? 0.0000552 Round -58852.6 to the nearest one hundred. -58900 Round 0.00000618081 to 6 dps. 0.000006 What is 0.054654 rounded to four decimal places? 0.0547 Round -2.283356 to two decimal places. -2.28 Round -0.000034929 to 7 dps. -0.0000349 Round 3.479353 to the nearest integer. 3 Round -0.0001260766 to six dps. -0.000126 Round -0.05229478 to three dps. -0.052 Round -12502973 to the nearest one hundred thousand. -12500000 Round 0.0000179546 to six dps. 0.000018 Round 1.988376 to 2 decimal places. 1.99 Round 2160220 to the nearest one thousand. 2160000 Round 104.3512 to 1 dp. 104.4 What is 0.00206237 rounded to four dps? 0.0021 Round -0.01568124 to three dps. -0.016 What is -0.000108835 rounded to 5 dps? -0.00011 What is -0.00014077059 rounded to 6 decimal places? -0.000141 Round 245.9344 to 1 dp. 245.9 Round 81581.54 to the nearest ten thousand. 80000 Round -306.685 to the nearest 10. -310 What is -0.000022284772 rounded to seven decimal places? -0.0000223 What is 8279.102 rounded to the nearest 10? 8280 What is 9.28109 rounded to zero dps? 9 What is 0.000616103 rounded to six dps? 0.000616 Round -364681 to the nearest one thousand. -365000 What is -0.00016635473 rounded to six dps? -0.000166 What is 0.2442776 rounded to 4 dps? 0.2443 What is 13812.32 rounded to the nearest 100? 13800 What is 0.00110553541 rounded to six decimal places? 0.001106 What is 57763.8 rounded to the nearest 10000? 60000 What is 0.000027576 rounded to 6 decimal places? 0.000028 Round 0.000002685592 to six decimal places. 0.000003 What is -0.0257357 rounded to three decimal places? -0.026 Round 0.0023559416 to 5 decimal places. 0.00236 What is -0.0417768 rounded to three dps? -0.042 What is -20.0032 rounded to 1 dp? -20 Round -624279 to the nearest 1000. -624000 What is -43907690 rounded to the nearest ten thousand? -43910000 Round -754822.4 to the nearest one thousand. -755000 What is -3.053768 rounded to one dp? -3.1 What is 0.000554627 rounded to six dps? 0.000555 Round 0.004469 to three dps. 0.004 What is -63470070 rounded to the nearest 1000000? -63000000 Round -70581076 to the nearest ten thousand. -70580000 Round 0.26620691 to two decimal places. 0.27 Round 0.00000159759 to six decimal places. 0.000002 Round -0.0000363219 to 7 decimal places. -0.0000363 Round 270858 to the nearest 1000. 271000 Round 0.0007518337 to seven decimal places. 0.0007518 What is -4000.25 rounded to the nearest 10? -4000 What is -46.8297 rounded to two decimal places? -46.83 Round 0.238018 to 2 dps. 0.24 Round -0.000000512707 to 7 dps. -0.0000005 What is -37383.46 rounded to the nearest ten thousand? -40000 What is -52121.6 rounded to the nearest one hundred? -52100 What is 0.638732 rounded to 0 decimal places? 1 Round 0.04518452 to five decimal places. 0.04518 What is 1.841271 rounded to two decimal places? 1.84 Round -0.0518319 to 3 dps. -0.052 What is -0.2397574 rounded to 4 dps? -0.2398 Round 0.026907536 to five dps. 0.02691 What is 22.8645 rounded to 1 dp? 22.9 What is 486572 rounded to the nearest 10000? 490000 What is -0.0547699 rounded to two decimal places? -0.05 What is -17.592453 rounded to one decimal place? -17.6 What is -0.00000211788 rounded to six dps? -0.000002 What is 1123
{ "pile_set_name": "DM Mathematics" }
-0.0122 (b) 2/9 (c) 0 (d) 0.14 b What is the nearest to -2/7 in 0.3, -2/7, 35/8, 0.1, -13? -2/7 Which is the nearest to 3? (a) 0.03 (b) -2 (c) 2/1927 (d) -0.3 a Which is the closest to -10? (a) -2 (b) -71 (c) 64 a What is the nearest to 35/17 in -0.2, 0.1, -8? 0.1 Which is the nearest to 1399? (a) -2/15 (b) 0.4 (c) 1/12 (d) 2 d What is the closest to -2/15 in 8.9, 4/7, 5, 12, -2/5? -2/5 Which is the closest to 7? (a) -79 (b) -2/3 (c) -2/21 (d) 1/3 d Which is the closest to 0.0205? (a) -0.14 (b) 1 (c) 0.5 a Which is the nearest to 6? (a) -0.04 (b) -6 (c) -1 (d) 3 (e) -8 d What is the nearest to 4 in -2/13, -1/6, 2/13, -1/2? 2/13 What is the closest to 2/5 in 1/38, 0.5, 1, 337/3? 0.5 What is the nearest to -44 in -4, 436, 1, -1? -4 Which is the nearest to 0.1? (a) -2 (b) 2 (c) 0.3 (d) -2/3 c What is the closest to -1/2 in 0.5, -1, -2/3, 270? -2/3 What is the nearest to 1 in 0.688, 296.3, -0.4? 0.688 What is the nearest to 6 in 0.27, -9, -1/3, 27? 0.27 What is the closest to -1 in 0.2, 1/6, -608/33? 1/6 Which is the nearest to 1/4? (a) -0.3 (b) -2/17 (c) 1/48 (d) -17 c Which is the closest to 2063? (a) 6 (b) 25 (c) -3 b What is the closest to 2/13 in 1/9, -17, -0.3, 0.056? 1/9 Which is the closest to -1/6? (a) -0.1 (b) -21/122 (c) -17.6 b What is the nearest to -2/9 in 5, -34, -22.8, 1/4, 0.7? 1/4 What is the closest to 0.2 in -1/2, -43, 0.05, -5/4? 0.05 What is the nearest to 18 in -3, -1, 0, -25? 0 What is the closest to -0.1842 in 20/3, 0.1, 1/2? 0.1 Which is the closest to 133514? (a) 1/6 (b) -0.2 (c) 4/3 (d) -0.3 c Which is the nearest to -1? (a) -2 (b) -916/7 (c) -0.2 c Which is the nearest to -2/5? (a) -7 (b) 0.1 (c) -6 (d) -8 (e) -1 b What is the closest to 1 in 0.3, 0.1, -1/8, 29/4, 15? 0.3 What is the nearest to 0.11 in -1/4, 0.3, 1/5, -3.49, 2? 1/5 What is the closest to 2/23 in -1, 362, -0.4? -0.4 Which is the nearest to 2? (a) 277/6 (b) 0.4 (c) -0.067 (d) 0.3 b What is the nearest to 1 in 2/5, -127, 21? 2/5 Which is the closest to 2/7? (a) 30 (b) 0.4 (c) 4 (d) -0.6 (e) -14 b What is the closest to 1/6 in 1.1, -1.89, 3, 0? 0 Which is the closest to 7430? (a) -5/4 (b) 4.1 (c) 2 (d) 0.1 b Which is the nearest to -1? (a) -4 (b) 4 (c) -21/359 (d) 5 c Which is the nearest to -0.1? (a) 8 (b) -0.05 (c) -0.4 (d) 95 (e) -3 b What is the closest to -7 in -0.04, 3.23, -0.2? -0.2 Which is the closest to 0.1? (a) -3/4 (b) 4 (c) 0.13 c Which is the nearest to -4? (a) 0.05 (b) 3 (c) 1/74 c Which is the nearest to -338? (a) 74 (b) 4 (c) -0.1 (d) 10 c Which is the closest to -70? (a) -0.1 (b) -0.2 (c) -3/7 c What is the nearest to 2 in -0.4, -12695, -1, -5? -0.4 What is the closest to -46 in 93/5, 3, -2/9? -2/9 Which is the nearest to 1/3? (a) 46/5 (b) 0 (c) 1/5 (d) -5 c What is the nearest to 3/4 in -27, 4, -233? 4 Which is the nearest to 0? (a) 5 (b) -0.4 (c) 0.5 (d) 630 b Which is the nearest to 5/8? (a) -23/4 (b) 3/2 (c) -2/3 b What is the closest to -5 in -3/4, 4, -0.051063? -3/4 Which is the nearest to -0.1? (a) 21 (b) 56/9 (c) -1/4 c Which is the nearest to 4733? (a) -0.2 (b) -5 (c) 2/23 c What is the nearest to 1 in 2, 3374, 2/23, -4.3, 5? 2/23 What is the closest to -47 in 1/27, 1/9, -1/29? -1/29 Which is the nearest to 3/7? (a) -0.2 (b) 20349 (c) 4 a What is the nearest to -14 in 13, 1/2, 4, 2/7? 2/7 Which is the closest to -1/2? (a) 2/17 (b) 2/3 (c) -50/67 c What is the nearest to 5 in 1/170, -21, 0.1? 0.1 Which is the closest to 17779? (a) 51/7 (b) -2/7 (c) 0 a Which is the nearest to 1? (a) 0.321 (b) 4 (c) 3/4 (d) -0.1 (e) 0.05 c What is the closest to 11 in 784, 2/11, 0.2, -24/7? 0.2 What is the nearest to 1960 in -7/3, -3/7, -1, -5? -3/7 What is the nearest to 1/4 in -88, -0.2, -1/7, 5/11? 5/11 Which is the nearest to -2/5? (a) -0.18 (b) -2 (c) 3/11 (d) -6 a What is the closest to 55 in -3, 0, 45? 45 What is the closest to -11/83 in -5, -1/3, -143? -1/3 Which is the closest to 10? (a) 0.4 (b) 2/3 (c) 0.1 (d) -15/2 (e) 5/6 e Which is the closest to 1? (a) -1/4 (b) 162 (c) -0.4 (d) -16/37 a What is the nearest to -0.3 in -3, 982, 5/2? -3 Which is the closest to 24? (a) 1 (b) 469 (c) 5 c Which is the nearest to 0.2? (a) 30 (b) 48 (c) -3 (d) -0.1 d What is the closest to 0.3 in 9, 0.0133, -0.5, -0.1? 0.0133 Which is the nearest to 1? (a) 0.5 (b) 3 (c) -3 (d) -8225 a Which is the closest to -3? (a) -3 (b) 0 (c) 1 (d) -5/96 (e) -0.5 a Which is the closest to -1/2? (a) 0 (b) -2 (c) -0.294 (d) -5 (e) 2/5 c What is the nearest to -16 in 48, -9, 0.4? -9 What is the closest to -0.2 in 1, -7047, -2/9? -2/9 What is the closest to -0.056 in -2/7, -17, -36? -2/7 What is the closest to 1/4 in -5, -2/9, 3, -1.191? -2/9 What is the closest to -1/4 in -0.2, -347.5, -91? -0.2 What is the closest to 2/7 in 13, 0.16, -5, -0.119? 0.16 Which is the closest to -0.1? (a) 0.4 (b) -281 (c) 6.4 (d) 3/2 a Which is the nearest to -2? (a) 8 (b) 2/5 (c) 2 (d) -127 b What is the nearest to 9 in -3, 5/8, 1/4? 5/8 What is the closest to 2.7 in 194, -1/5, 2? 2 Which is the nearest to 2/3? (a) -16 (b) -4/41 (c) 1/7 (d) 4 c Which is the nearest to 1/3? (a) 0.21 (b) -0.3 (c) -16 (d) -0.04 (e) 1/9 a Which is the closest to 7/5? (a) 1/16 (b) -3 (c) 42 a What is the nearest to 1.7 in -2, -2/3, 0.3, 55? 0.3 What is the nearest to 3.2 in 1, -1, 0.0417? 1 Which is the nearest to -1.1? (a) -2 (b) -5/4 (c) 1 (d) 0 (e) 4 b What is the nearest to 2 in -0.3, -3, -35? -0.3 Which is the closest to -96? (a) -0.09 (b) 5 (c) 3 (d) -21 d What is the nearest to 0.1 in -0.01, 1/3, -5, 0.197, -0.08? 0.197 What is the nearest to 1 in 2/473, -0.1, -193? 2/473 Which is the closest to 0.1? (a) 185 (b) 2 (c) -0.1 c What is the nearest to 11184 in 3/5, -1, -0.1, -0.2, 1/2? 3/5 Which is the closest to -0.2? (a) 0 (b) 3/4849 (c) -4 (d) 1/5 a Which is the closest to 4/11? (a) -13/5 (b) -6 (c) 0.1 c Which is the nearest to -1/3? (a) 41 (b) 2 (c) -6/23 c What is the closest to 0 in 4, -1/3, 69/2, 5, 2? -1/3 What is the closest to -3/4 in -5, -1090, -0.4, -2? -0.4 What is the closest to -9.2 in -1, 2, -2/19, -5, 5? -5 What is the closest to 4 in -20/17, -4, 18? -20/17 Which is the closest to -1/4? (a) -1040 (b) -1 (c) 1 b What is the closest to -36 in 2/7, 0, 13? 0 Which is the nearest to -7.6? (a) 3 (b) -10 (c) 1 b What is the nearest to -0.2 in -1/9, -2, 0.5, 7787, -1? -1/9 Which is the closest to -0.14? (a) -11/3 (b) 115 (c) -3 c What is the nearest to -15/14 in 1, 0, 5? 0 Which is the nearest to 1? (a) 0 (b) -2/9 (c) 176 a What is the nearest to 3/4 in 9, -1/2, -11/5, -1/9? -1/9 What is the closest to -3.104 in -1/5, 0.05, 2? -1/5 Which is the closest to 0.1? (a) -0.05 (b) 2 (c) -0.2 (d) 0.0837 d What is the closest to -1/4 in 2, 6/29, 8? 6/29 What is the closest to -1.1 in 28, -2, 3/4, 1? -2 What is the closest to 0.16 in -1/17, 0.3, -4/67? 0.3 Which is the closest to 2/159? (a) -0.6 (b) 2 (c) 1 (d) -2 (e) -0.1 e Which is the nearest to 2? (a) -3/73 (b) 161 (c) -0.2 a What is the closest to -11 in 164, -4, 42, -0.2? -4 Which is the closest to -0.1? (a) -0.162 (b) -0.2 (c) 1 (d) 1/5 (e) 21 a What is the nearest to -505.8 in -0.2, 1/5, 3? -0.2 What is the nearest to -1 in -4, 2/5821, -4/7, -0.1? -4/7 What is the closest to 1 in 1, -2406/7, 3, -4, 3/2? 1 Which is the nearest to 20? (a) -2/17 (b) 3/572 (c) -0.4 (d) -0.2 b Which is the closest to 1/4? (a) 18/11 (b) -2/9 (c) 1/8 (d) 0.29 d Which is the nearest to 66.4? (a) 5 (b) -4 (c) -5 a Which is the nearest to 1? (a) -107 (b) -21 (c) 42 (d) 0 d Which is the closest to -1/2? (a) 3/5 (b) -751 (c) -0.1 (d) -3/5 d What is the nearest to 1 in -0.4, -0.2, -2583, -2/3, -0.03? -0.03 Which is the nearest to 0.016? (a) -0.2 (b) -0.19 (c) 3/20 c Which is the nearest to 1/2? (a) -1/6 (b) -0.2 (c) -213 (d) 3 a What is the closest to 29 in -2/7, -15, -1, -12, 5? 5 Which is the nearest to 0.23? (a) 463 (b) 4 (c) -5 b What is the closest to -4 in 1/5, 3/4, -1/3? -1/3 Which is the closest to 2.8? (a) -3 (b) -28 (c) 0.4 (d) 4 (e) 2.5 e What is the nearest to 154 in -3, -5, 0.014? 0.014 What is the closest to 8 in 5
{ "pile_set_name": "DM Mathematics" }
hundred thousands digit of 792350821? 3 What is the units digit of 7893682? 2 What is the thousands digit of 1580186244? 6 What is the ten millions digit of 399536782? 9 What is the hundreds digit of 2661818494? 4 What is the units digit of 444009509? 9 What is the millions digit of 484693991? 4 What is the ten millions digit of 33699550? 3 What is the hundred thousands digit of 2252709578? 7 What is the hundreds digit of 203109683? 6 What is the ten thousands digit of 74000315? 0 What is the hundred millions digit of 1127887214? 1 What is the millions digit of 38764395? 8 What is the hundred millions digit of 127988357? 1 What is the thousands digit of 769653463? 3 What is the tens digit of 100858836? 3 What is the hundreds digit of 615912774? 7 What is the ten thousands digit of 6734775? 3 What is the ten millions digit of 110420994? 1 What is the hundreds digit of 2426378755? 7 What is the ten millions digit of 2496664290? 9 What is the millions digit of 64131120? 4 What is the hundreds digit of 87569215? 2 What is the tens digit of 1243137278? 7 What is the hundred thousands digit of 1518113171? 1 What is the ten millions digit of 103213276? 0 What is the hundred thousands digit of 71394264? 3 What is the tens digit of 75481729? 2 What is the hundred millions digit of 716090817? 7 What is the thousands digit of 22278782? 8 What is the hundreds digit of 805577196? 1 What is the hundreds digit of 72409887? 8 What is the tens digit of 756540848? 4 What is the tens digit of 293097107? 0 What is the hundred thousands digit of 58245440? 2 What is the ten millions digit of 69665432? 6 What is the ten thousands digit of 328721297? 2 What is the hundreds digit of 1414816804? 8 What is the ten thousands digit of 334604033? 0 What is the hundred millions digit of 487195507? 4 What is the tens digit of 149303800? 0 What is the tens digit of 402167068? 6 What is the ten thousands digit of 811876339? 7 What is the ten millions digit of 31413849? 3 What is the thousands digit of 120306617? 6 What is the hundreds digit of 1912729792? 7 What is the millions digit of 4506271443? 6 What is the tens digit of 2074894845? 4 What is the units digit of 9093027? 7 What is the hundreds digit of 4104834284? 2 What is the ten millions digit of 880024389? 8 What is the ten millions digit of 60284934? 6 What is the ten thousands digit of 5092929399? 2 What is the millions digit of 42009745? 2 What is the tens digit of 204612719? 1 What is the thousands digit of 457934410? 4 What is the units digit of 255720039? 9 What is the hundred millions digit of 638179302? 6 What is the hundreds digit of 344462439? 4 What is the ten millions digit of 13425733? 1 What is the hundred millions digit of 739495463? 7 What is the tens digit of 115408637? 3 What is the units digit of 43038910? 0 What is the ten millions digit of 506892966? 0 What is the ten thousands digit of 47900690? 0 What is the tens digit of 71431367? 6 What is the hundreds digit of 71939953? 9 What is the hundreds digit of 35075010? 0 What is the ten millions digit of 93988529? 9 What is the thousands digit of 508397751? 7 What is the ten millions digit of 3715467062? 1 What is the ten thousands digit of 1287013788? 1 What is the units digit of 2993866821? 1 What is the hundreds digit of 457184514? 5 What is the hundreds digit of 557166152? 1 What is the hundred thousands digit of 1119183695? 1 What is the thousands digit of 24926089? 6 What is the hundreds digit of 579056618? 6 What is the hundreds digit of 70214507? 5 What is the thousands digit of 656755400? 5 What is the millions digit of 1983718760? 3 What is the thousands digit of 55512568? 2 What is the thousands digit of 18333178? 3 What is the thousands digit of 5434415917? 5 What is the tens digit of 191352649? 4 What is the hundred thousands digit of 3012252266? 2 What is the hundreds digit of 154919941? 9 What is the millions digit of 53267859? 3 What is the hundred thousands digit of 363790524? 7 What is the tens digit of 42454745? 4 What is the millions digit of 38281116? 8 What is the hundred millions digit of 527015032? 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6 What is the ten millions digit of 32292657? 3 What is the ten thousands digit of 194337288? 3 What is the thousands digit of 98874986? 4 What is the ten millions digit of 45445457? 4 What is the ten millions digit of 1164150254? 6 What is the thousands digit of 39257775? 7 What is the tens digit of 259151903? 0 What is the ten millions digit of 76444332? 7 What is the tens digit of 992011282? 8 What is the hundreds digit of 7966478? 4 What is the hundred thousands digit of 57370607? 3 What is the hundreds digit of 781645397? 3 What is the ten thousands digit of 267098829? 9 What is the tens digit of 96697879? 7 What is the hundreds digit of 35012703? 7 What is the hundreds digit of 3292597012? 0 What is the ten thousands digit of 199303426? 0 What is the units digit of 6259948271? 1 What is the hundred thousands digit of 3913620601? 6 What is the hundreds digit of 14251849? 8 What is the hundred millions digit of 1068017604? 0 What is the billions digit of 3599357745? 3 What is the hundreds digit of 2
{ "pile_set_name": "DM Mathematics" }
- 1 for t. 0 Solve 0 = 5*x - 2*k + 14, -5*k + 10*k = 10 for x. -2 Solve 0 = 3*r + h - 427 + 430, 3*r + 3 = 5*h for r. -1 Solve -23 - 12 = 2*r + 5*a, 0 = -2*a - 10 for r. -5 Solve 21*k - 28 = 19*k + 5*g, k = 3*g + 16 for k. 4 Solve -3*y = 2*a - 3, 4*y + 5*a - 7*a = 18 for y. 3 Solve 2*k - 8 = 3*a, 3*a - 3 = -k - 8 for a. -2 Solve -10*o + 44 = -6*o + 4*a, -4*o + 36 = 3*a for o. 3 Solve -2 = -q + v, 4 = 5*q - 9*v + 6*v for q. -1 Solve -4*y - 5*u = -9*y - 25, -4*y - 20 = -2*u for y. -5 Solve -4*z + 4 = 0, 11 = -b - 3*z + 16 for b. 2 Solve c + 3*a - 28 = -41, 1 = -c + a for c. -4 Solve -95 = -x - 3*c - 98, -2*x = c + 6 for x. -3 Solve y + 2*d = 12, d - 24 = -7*y + 2*y for y. 4 Solve -3 = -3*o - g - 2*g, -o + g = 9 for o. -4 Solve -2*m - 3*q + 9 = 0, q = 4*m - 0*q - 11 for m. 3 Solve -15*k + 12*k + 13 = g, -25 = 5*g for k. 6 Solve 5*l + 2*t - 4 = 0, -3*t + 9 = l + 3 for l. 0 Solve -5*m - 8 = -p, -58*p + 8 = 4*m - 54*p for m. -1 Solve 4*d + 3 + 3 = 2*o, -3*o = d - 9 for d. 0 Solve -5*i + 30 = 6*k - 3*k, 5*k = 25 for i. 3 Solve 5*p = 5*h + 45, 4 - 9 = h for p. 4 Solve -5*y - p + 63 = 53, 0 = 5*y + 5*p - 10 for y. 2 Solve j - 4*v - 17 = 0, -4*v = -4*j - 3*v - 7 for j. -3 Solve 4*m - 132*y = -134*y, y - 6 = m for m. -2 Solve 9 = 4*g - 3*r, -3*g - 7 = -r - 15 for g. 3 Solve 4 = -p + 8, p - 24 = -5*n for n. 4 Solve 2 = -2*z, -2*t + 14 - 12 = -2*z for t. 0 Solve -5*f + 15 = 3*z, -4*f - 2 = 2*z - 14 for f. 3 Solve -2*h + 23 = -5*i, -2*h + 3*i + 13 = -0*h for h. -1 Solve 0 = 4*f + 3*r - 23, 2*r - 3*r + 11 = 2*f for f. 5 Solve 0 = -5*h + 2*i - 18, -40 = h - i - 37 for h. -4 Solve r = 3*r + 4*x - 2, -2*r + 2 = -2*x for r. 1 Solve 5*u = -10, -2*y + 2*u - 4 = -0*y for y. -4 Solve -3*j = -4*s - 6*j + 35, 15 = 4*s - j for s. 5 Solve -4*r + 5*k = 2, -r = 3*k + 2*k - 12 for r. 2 Solve -g + 18 = n + 2*g, -10 = -2*g for n. 3 Solve -20 = -5*x + 5*m, -x - m + 0*m = -2 for x. 3 Solve -2*v = 11*z - 8*z - 1, 5*z + 2*v - 7 = 0 for z. 3 Solve -3*l = -6*w + 27, 2*l - 5*w - 9 = -31 for l. -1 Solve 2*i + 2*q = 2, 157 = -2*i + 5*q + 173 for i. 3 Solve 8*a = -2*l + 3*a + 16, 3*l + 3*a = 6 for l. -2 Solve 4*f + 24 = 4*m, 5*f + 7 + 19 = 3*m for f. -4 Solve 3*x + 5*v = 9, -12 = -3*x - x - 2*v for x. 3 Solve -3*f = -2*a - 9, 4*f + 2*a - 11 = 3*f for f. 5 Solve 3*y - 5*n = -9*n - 21, -9 = -y + 4*n for y. -3 Solve 0 = 4*r + 4*a - 4, -3*a - 2 - 11 = -5*r for r. 2 Solve 0 = 5*h + 25, i + 3*h + 20 = -4*i for i. -1 Solve -4*s = -3*x + 16, 0 = 10*x - 5*x + 2*s + 8 for x. 0 Solve 0 = -5*t - 4*d - 9, 4*t - d + 2*d = -5 for t. -1 Solve 0 = -u, 5*h + 4*u - 9*u - 15 = 0 for h. 3 Solve -2*l + 6*t = 5*t + 3, 4*t - 8 = 4*l for l. -1 Solve -5*v + n = -357 + 375, 4*n = -5*v - 3 for v. -3 Solve 4*c + 2 + 2 = 4*l, l + 4 = 0 for c. -5 Solve -18*b - 16 = -14*b - 2*u, 0 = 4*b - 5*u + 28 for b. -2 Solve 0 = -79*n + 82*n + 2*g - 12, -3*n + 4*g + 12 = 0 for n. 4 Solve -j - 5 = -d, d = j + j + 10 for j. -5 Solve -j = 5*n + 25, -5*n - 56*j = -58*j + 10 for n. -4 Solve -243*x = -3*c - 242*x + 21, -5*x = -c + 21 for c. 6 Solve -6 = 4*u - 3*n - 9, u + 5*n + 5 = 0 for u. 0 Solve 3*k = v - 17, -4*v + 8 = -4*k - 28 for k. -4 Solve -2 = -n - c - 2*c, -4*n = -4*c - 24 for n. 5 Solve -4*b = -0*b - p + 2, 3*b + 5*p = 10 for b. 0 Solve 4*z - 5*g = -2, 17 = 38*z - 41*z - 4*g for z. -3 Solve -z - 2*y = -6, 4*y + 2 = 4*z + y for z. 2 Solve 3*t + 3*p = -3, -7*t + 2*t - 3*p = 7 for t. -2 Solve -2*p = 2*h + 4, -6*h = -2*p - 7*h - 3 for p. -1 Solve -4*y + 14*n - 8 = 10*n, 3*y = -n - 10 for y. -3 Solve -5*c + 18*v - 23 = 15*v, -3*v = -3 for c. -4 Solve 3 = 3*j + 5*y - 2*y, 0 = 5*j - y + 13 for j. -2 Solve -3*d + 0 - 14 = w, -2*d - 16 = 2*w for d. -3 Solve -4*c - 2*u + 3 - 29 = 0, -4*c - u - 21 = 0 for c. -4 Solve 0*o + 4*o - 13*v - 8 = 0, o - 3*v - 2 = 0 for o. 2 Solve -3*d - 118 = -5*c - 135, -c + d = 5 for c. -1 Solve -4*k = -3*s, -s - 2*s - 3*k - 21 = 0 for s. -4 Solve 2*z + 6 = 15*m - 14*m, 22 = -3*m - 2*z for m. -4 Solve -20 = -4*s - 4*f, 2*f + 0*f - 10 = -4*s for s. 0 Solve 10 = -5*p + 2*b - 7*b, 0 = -p - 2*b for p. -4 Solve -5*d - 34*k = -39*k - 15, -2*d + 16 = 3*k for d. 5 Solve 5*a + 2*f - 6*f = -8, -2*a - 3*f = 17 for a. -4 Solve 5*x = 4*o + 40, -6*x + 3*x + 22 = -2*o for x. 4 Solve -5*k - 5 + 0 = 0, 5*f + k = 24 for f. 5 Solve 0 = -2*q + 3*b + 12, -4*q + 20 = -q - 5*b for q. 0 Solve i + 3*i + 22 = 2*t, 14 = -t - 3*i for t. 1 Solve -4*p - 4*q = 24, 0*q - 5*q = 3*p + 26 for p. -2 Solve 4*y + 3*j + j = 0, 0 = y - 5*j for y. 0 Solve -3*y - s + 3 = -7, -20 = -4*y + 2*s for y. 4 Solve -117*y = -113*y - h + 8, 5*h - 16 = -4*y for y. -1 Solve -4 + 10 = 2*s, 5*c + 4*s + 13 = 0 for c. -5 Solve l - 5*l = -4*q, -q - 2 = 0 for l. -2 Solve -17*g = 4*k - 20*g + 35, -3*g - 21 = 3*k for k. -8 Solve -2*r + 6 = 5*s + 24, -8 = r + 2*s for r. -4 Solve -59*s = c - 56*s, 0 = -4*c + 5*s for c. 0 Solve 5*y - 13 + 5 = -2*d, 2*d - 8 = 2*y for y. 0 Solve -5*f + 2*f = -5*q + 1, 2*q - 4 = 3*f for f. -2 Solve 3*r - 3*c = -7*c + 2, 2*c = 2*r - 6 for r. 2 Solve q = 4 - 5, 13 = -4*l - 5*q for l. -2 Solve -5*h - 3 = 5*b - 13, -9 = -2*h - 3*b for h. -3 Solve 3*h - 21 = 3*w, -3*h - 3*w = -2*w - 1 for h. 2 Solve 3*j - 3*h + 4 - 10 = 0, -4*j + 3*h = -4 for j. -2 Solve -47*q = -45*q - 5*d + 37, 0 = -4*q + d - 11 for q. -1 Solve 49 = -2*t - 2*s + 43, -2*s - 8 = 0 for t. 1 Solve -4*d - 4 = 2*m - 18, 0 = 4*d - 12 for m. 1 Solve 4*g - 10 = -5*k + 2, 6 = 2*g + 3*k for g. 3 Solve -5*c - 7 + 17 = -5*w, 5 = -3*w + 4*c for w. -3 Solve 5*f + 0*f + 35 = 5*h, -2*h + 5*f + 23 = 0 for h. 4 Solve -2*t - 38 = 5*b - 73, -2*b + 14 = 4*t for b. 7 Solve -5*t + 5 = 2*l - 10*t, 1 = l - 4*t for l. 5 Solve -3*m = -3*j - 4*m - 8, -2*m - 4 = 2*j for j. -3 Solve 3*z = -5*x + 28, -2*z - 17*x = -12*x - 27 for z. 1 Solve 3*h + 5*j = 2*j, 5*j + 7 = 2*h for h. 1 Solve -2*k + 12 - 42 = -4*t, 0 = -t + 5 for k. -5 Solve 10*k - 8*k = 5*n - 10, 0 = -n + 2 for k. 0 Solve -4*l = -3*b + 27, 3*l + 0*l + 29 = 4*b for b. 5 Solve 7 = 3*g - t, -3*t + 0*t + 23 = 2*g for g. 4 Solve 0 = -5*f - 23*o + 18*o, -2*f - 4*o = 6 for f. 3 Solve -2*i - 9 + 19 = 3*k, 10 = 2*i - 2*k for i. 5 Solve l = 5*j - 18, 3*l = 3*j - 2*l - 24 for j. 3 Solve -81*f - g + 3 = -84*f, 4*f + 5*g = 34 for f. 1 Solve -w - 2*i = 11, -9*w - 2*i - 8 = -11*w for w. -1 Solve 5*q = -2*h - 1 + 8, 23 = q - 5*h for q. 3 Solve 3*f + v - 14 = -37, 0 = 4*v + 20 for f. -6 Solve -5*n - 5*r = -10*r + 10, 0 = 4*n + 3*r - 27 for n. 3 Solve 0 = -4*x + 2*j + 12, 7*x = 2*x + 4*j + 15 for x. 3 Solve 4*j + 24 = 3*o, o = -28*j + 26*j - 2 for o. 4 Solve -t = -2*k + 11 - 6, -3*t - 4*k = 5 for t. -3 Solve 6*g = 4*s + 3*g - 14, -4*g - 12 = -2*s for s. 2 Solve 0 = -w + 5*g - 17, g - 34 = -30 for w. 3 Solve 3*o = -r - 5 - 0, -3*r - 4 = -2*o for r. -2 Solve -2*i - 2*w + 4 = 0, -3*w + 0*w = -9 for i. -1 Solve 0 = -16*y + 13*y + 2*a + 10, -3*y + 3*a + 12 = 0 for y. 2 Solve 238*i + 45 = 233*i - 5*t, -6 = -i + 2*t for i. -4 Solve 19 = -2*j + 3*x, j + 2*x - 3 = 5 for j. -2 Solve 0 = 3*o + h + 8, 0 = -o + 2*o - 4*h - 19 for o. -1 Solve -3*q - 2*a = 20, 5*q + 36 = -18*a + 14*a for q. -4 Solve 3*d - 4 = -2*l - 18, -d + 2 = -l for d. -2 Solve 0 = 2*g + 5*d - 4 + 25, -31 = -3*g + 5*d for g. 2 Solve 7*n = 5*v + 10*n + 7, -5*v - 13 = -3*n for v. -2 Solve 5*d = -4*y - 37, -7*d + 12*d + 2*y = -31 for d. -5 Solve 20 = -308*z + 313*z, -4*z + 12 = -g for g. 4 Solve -179*t - 7 = -177*t + 3*k, -4*k = t + 16 for t. 4 Solve 0 = -3*h + 5*x + 27, 174*h - 2*x = 178*h - 10 for h. 4 Solve 2 = 3*r + r - 3*h, -r + h = 0 for r. 2 Solve -4*f = -3*q + 6, -12*q = -14*q + 3*f + 4 for q. 2 Solve -2*z + 4*o - 2 = 0, 10*o + 3 = -3*z + 8*o for z. -1 Solve 28 = -c + 5*z + 14, -4*c - z - 14 = 0 for c. -4 Solve 3*v - 21*s + 16*s = 26, 0 = -5*s - 20 for v. 2 Solve -j = -5*w + 16, 3*j - 24*w = -20*w - 4 for j. 4 Solve u + 6 = 5*p, -11*u = -6*u + 3*p - 26 for u. 4 Solve -2*g + 6 = 3*f, -5*g = 2*f + 3 + 4 for g. -3 Solve -7 - 8 = 3*p + 4*x, -4*p - 4*x = 20 for p. -5 Solve -3*l - 29*n + 28*n + 9 = 0, -2*l = -4*n - 20 for l. 4 Solve -2*g + 20 = 5*d, 2*g = 4*g for d. 4 Solve -5*c = -b - 11, -3*c + 3*b = -6 - 3 for c. 2 Solve 0 = o + 4, -3*a - 28 = 2*o + 2*o for a. -4 Solve -2*d + a = 6, -3*a - 40 + 28 = 0 for d. -5 Solve -f = -3*s - 4, -f - 13*s + 18*s = -4 for f. 4 Solve -3*d = 3*l - 18, 2*l + 7*d = 2*d
{ "pile_set_name": "DM Mathematics" }
j(h) = -19*h. Is j(c) a multiple of 9? False Let l be 0/(0 + 2/(-2)). Suppose 0 = -y + 4*g + 22, l*g = -3*g - 3. Is 9 a factor of y? True Let d be 1 + 3 + -5 - -11. Let f = d - -20. Does 5 divide f? True Suppose 6*l = 3*l - 5*j - 7, -4*l = 4*j + 12. Does 3 divide (-3)/l*4/1? True Let r(u) = -u**3 + 6*u**2 + 8*u - 8. Let i be r(7). Is (i - -1) + -1 + 31 a multiple of 11? False Let p = -18 + 13. Suppose 0*o + o - 3*u - 40 = 0, u = -5. Let n = o + p. Does 13 divide n? False Let f(y) = -y**2 + 22*y + 9. Is 26 a factor of f(11)? True Suppose 0 = 4*a + q - 17 - 52, 3*q - 71 = -4*a. Is a a multiple of 3? False Let p be 2/6 + (-812)/(-12). Suppose -6*i = -4*i - p. Is i a multiple of 17? True Let c be 4/10 - (-2670)/75. Suppose 0 = -2*h + 66 + c. Is h a multiple of 28? False Is 4/(-10) + 231/15 a multiple of 15? True Suppose -264 = -4*c + 2*u, 0 = u + 4*u - 20. Is 30 a factor of c? False Let j be (-2)/(3 - (-125)/(-41)). Suppose f - k - 2*k = -3, 5*f + j = 2*k. Let y(p) = p**2 + 6*p - 3. Is y(f) a multiple of 7? False Does 4 divide (-3)/(12/(-8)) + 13? False Let o = -80 + 92. Is o even? True Suppose 3*i - 3*p = 21, -4*p - 4 = 2*i - 0*i. Suppose 2*l - 2 = -2*c, -7*c + 3*c + 2*l = -22. Suppose i*v = -8 + 28, 3*o + c*v = 74. Does 9 divide o? True Suppose -6*q + 4*j = -2*q - 136, 5*q - 4*j - 174 = 0. Is q a multiple of 8? False Suppose -y + 3*y - 10 = 0. Let p = 10 - y. Suppose -p*h - 220 = -5*j - 0*j, -j = -5*h - 60. Is 14 a factor of j? False Let o = -20 - -7. Let m(s) = -7*s - 19. Is 16 a factor of m(o)? False Let h = -20 + 60. Is h a multiple of 19? False Let i = 3 - 0. Let x(y) = 13*y**2 + 3*y - 2. Let k be x(i). Suppose 0 = 2*h + 2*h - k. Is 12 a factor of h? False Let o = 1 + 2. Let v(b) be the third derivative of b**6/120 - b**5/60 + b**4/24 - 2*b**3/3 + 23*b**2. Is v(o) a multiple of 17? True Let x(q) = -q**2 - 6*q + 5. Let u be x(-6). Suppose c - 40 = -u*k, -32 = -c - k - 2*k. Does 5 divide c? True Is (7 - 5)*(-26)/(-4) a multiple of 13? True Suppose -3*s = -2*c + 4*c - 15, -s = 2*c - 9. Suppose s*j = -j + 48. Is j a multiple of 4? True Suppose 55 = 3*s - 2*u, 4*s = -2*u + 18 + 32. Does 5 divide s? True Let w(t) = -t**3 + 4*t**2 - 4*t + 2. Let n be w(2). Suppose -3*j - 3*a = j - 9, n*a - 20 = -5*j. Let g(d) = -d**3 + 8*d**2 - 9*d + 3. Is g(j) a multiple of 8? False Suppose 0 = -4*q + 4*j - 4, 0 = -4*q + 3*q - j + 7. Suppose 85 = q*s + i, -151 = -2*s - 3*s + 3*i. Does 13 divide s? False Suppose 0 = s - 5*r + 14, -r + 7 = 4*s - 0. Suppose -3 = q + s, -m = -3*q - 23. Does 3 divide m? False Suppose -3*p - 12 = -t, t - 6 = -0*p + p. Suppose n + t = 1. Does 22 divide ((-12)/9)/(n/33)? True Let g(m) = -9*m + 12. Let j be g(-9). Let i = 141 - j. Does 16 divide i? True Let w = 232 - -155. Is 43 a factor of w? True Suppose -3*s + 5*c = -28, -3*s - 1 = 3*c - 13. Is 2 a factor of s? True Suppose 5*s + 4*a - 2 = 1, -3*s - 2*a = -3. Suppose 3*t = -0*t. Suppose t = 4*f + 2*o - 90, 5*f - 39 = -s*o + 76. Is f a multiple of 10? True Does 7 divide 7/((-3)/(-5 + -4))? True Suppose -3*o = -5*o + 10. Suppose 0 = 5*k + 2*x - 36, 4 = -o*x - 6. Let z = k - 6. Is z a multiple of 2? True Let z = 8 + -6. Suppose 3*w + 2*f = 41, -z*w + 3*w = 4*f - 5. Does 8 divide w? False Let z = 31 - 14. Let b = 34 - z. Suppose -5*g + b + 83 = 0. Is 10 a factor of g? True Suppose 0*t + t - 4*n - 75 = 0, 5*t = -5*n + 250. Does 22 divide t? False Let t(x) = 10*x**2 + 3 + 8*x**2 - x**3 + 3 + 6*x - 24*x**2. Is 3 a factor of t(-7)? False Suppose -4*b = -27 - 9. Suppose -b = -2*h - 5*k + 55, -k + 26 = h. Does 7 divide h? False Suppose 7*a = 25 + 10. Does 2 divide a? False Let c(u) = -7*u**2 + u. Let k be c(1). Let s(g) be the third derivative of -g**5/60 - g**4/3 - 7*g**3/6 + 2*g**2. Is s(k) even? False Suppose 3*i = -2*i + 20. Suppose 27 + 5 = i*y. Is 4 a factor of y? True Let f(c) = -20*c**3 + 6*c**2 + 4*c. Let b(g) = -20*g**3 + 7*g**2 + 5*g. Let k(p) = 5*b(p) - 6*f(p). Does 12 divide k(1)? False Let t(r) = -r**2 - 1. Let c be t(3). Let b(d) = -2*d - 9. Is 4 a factor of b(c)? False Let a be (-2)/(-5) - (-69)/15. Suppose 20 = -0*h + a*h. Does 11 divide (17/h)/(1/4)? False Let d be (-291)/(-12) - 2/8. Suppose -5*m + d = -2*b + 132, 4*b = 2*m + 40. Is (-1)/((-1)/(-2)) - m a multiple of 10? True Is (2 + 0 - 5) + 19 a multiple of 4? True Suppose o + 1 = 18. Is 8 a factor of o? False Let t = 13 - 21. Let l = t + 5. Is (-279)/(-15) + l/5 a multiple of 10? False Suppose 3*u + 2*q = -36, 2*u + 28 = -2*u + 4*q. Let x = -16 + u. Let t = -9 - x. Does 11 divide t? False Suppose 0 = -c + 6*c - 3*i - 183, 3*c - 110 = 2*i. Is c a multiple of 8? False Let m(o) be the second derivative of -o**3/2 - o**2/2 + 2*o. Does 4 divide m(-3)? True Suppose m - 3*d - 67 = 0, -m + 73 = d - 2*d. Is 14 a factor of m? False Suppose l - 16 = 21. Is l a multiple of 19? False Let n(r) = r**2 + r + 4. Suppose -6*d = 3*p - d - 19, -3*p - d + 11 = 0. Suppose 2*m + 0*m + 4*j - 6 = 0, p*m = 4*j - 21. Is n(m) a multiple of 5? True Let w = 123 + -86. Is 3 a factor of w? False Suppose 0 = 4*x - 25 - 343. Suppose -31 = -o + t, -3*o + 3*t = -t - x. Does 14 divide o? False Suppose 6*w - 9 + 3 = 0. Does 14 divide w + -2 + (46 - 3)? True Let c be (-4 + 3 - 1) + -8. Let n be ((-18)/c)/(-3)*-5. Let p = 7 + n. Does 10 divide p? True Let f = 22 - 9. Does 13 divide f? True Suppose 5*g - 4*x = -6, 5*g + 10 = 2*g + 4*x. Suppose 0*f = -2*f + 2, 39 = g*w + 3*f. Is 7 a factor of w? False Let c be 10 + -11 - (-92)/2. Let x = c - 26. Does 6 divide x? False Suppose 5*z - f - 9 = 0, -2*z + 0*f + 6 = 2*f. Let g be ((-13)/6)/(7/(-42)). Suppose -3*l - g = -z*t, -l = -3*t + t + 23. Is 11 a factor of t? False Let d(l) = 24*l + 2. Let w(z) = 24*z + 2. Let y(c) = -4*d(c) + 5*w(c). Does 13 divide y(1)? True Let w(p) = -p**2 - 3*p. Suppose -v = -7 + 10. Let n be w(v). Suppose -5*s + n*k + 5*k = -80, 0 = -3*s + 2*k + 50. Does 9 divide s? True Let t(h) = h**2 - 3. Let d be t(-3). Let y(x) = -x**3 + 6*x**2 - 8. Let q be y(d). Is (-111)/(-4) - 2/q a multiple of 14? True Suppose -4*y = 0, -13 - 7 = -4*u + 3*y. Suppose 3*w = u*b - 49, 27 = 5*w - b + 138. Let c = w - -46. Is 23 a factor of c? True Suppose -7 + 2 = -4*k + m, -5*m - 25 = -5*k. Let a = 12 + k. Is a a multiple of 4? True Let m(c) = -c**2 + 3. Let r be m(0). Suppose -4*h - 4 + 22 = 2*i, -h + 1 = -r*i. Suppose h*p + 0*p - 156 = 0. Does 10 divide p? False Suppose -q + 19 + 7 = 0. Let x = 30 - -7. Let g = x - q. Is g a multiple of 7? False Suppose -5*r + 2*r + 18 = 0. Does 6 divide r/(3 + (-26)/10)? False Let i = -64 - -84. Is 4 a factor of i? True Suppose 3*o + 3*k = 12, 0*k - 4*k = -2*o - 4. Suppose -4*x + o = -26. Does 2 divide x? False Suppose 2*i + s = -3, 0*i = -i - 3*s - 9. Suppose 0*p - p + 66 = i. Suppose h = -h + p. Is h a multiple of 12? False Let t(b) = 28*b + 12. Does 12 divide t(6)? True Let o be 87/12 + (-1)/4. Suppose -o*u + 5*u + 36 = 0. Does 9 divide u? True Let c = -3 - -19. Suppose 31 = -4*i - 13. Let r = c + i. Does 2 divide r? False Let n = 57 - 20. Let j = -6 + n. Is j a multiple of 24? False Let i = -85 - -61. Does 12 divide 1/((-2)/i*1)? True Let b = -5 + 7. Suppose b*g + 3*g - 185 = 0. Suppose -132 = -5*p - g. Is p a multiple of 11? False Suppose -4*f - 2*b = -380, 2*b + 79 = 4*f - 293. Is 20 a factor of f? False Suppose 0*m = -4*f - 3*m - 3, 5*f + 2 = -2*m. Suppose -16 = -5*k + 29. Suppose f*n + n = k. Does 9 divide n? True Suppose -2*a + 5 = -5*k + 36, 4*k - a - 23 = 0. Let u(z) = -2*z**3 - 6*z**2. Let f be u(-4). Suppose j = k*j - f. Is j a multiple of 8? True Suppose 3*n = 4*l - 0*l + 59, 2*l = -n + 13. Suppose 2*s + n = 3*p, -s + 7 = s + 5*p. Let o = 4 - s. Is 4 a factor of o? True Suppose 2*a - 3095 = 3*i - 0*i, 2*i - 7785 = -5*a. Suppose -5*d = 5*g + a, -4*d - 2*g - 3*g = 1246. Is d/(-12) + 4/16 a multiple of 17? False Let f be 1 + 39 - 0/(-1). Suppose -2*l + 85 = -5*x, 4*l - 175 + f = 3*x. Does 10 divide l? True Suppose -3*f = -0*f. Does 13 divide -1 - (1 - f - 46)? False Suppose -7*c + 44 + 26 = 0. Is 10 a factor of c? True Suppose g = p + 94, -2*g - 3*p + 160 = 2*p. Is 9 a factor of g? True Let u be (2/(-2))/(6/(-18)). Suppose 3*k - 14 = u*z - z, z + 1 = 0. Suppose k*f - h = h + 202, 0 = 4*f + 4*h - 196. Does 17 divide f? False Let z(n) = 5*n**2 - 5*n - 8. Let y(r) = -11*
{ "pile_set_name": "DM Mathematics" }
395, -8502402, -8502409, -8502416, -8502423? -8502430 What is next in 126, 111, 46, -69, -234, -449, -714? -1029 What is the next term in -994, -5201, -12634, -23305, -37226, -54409, -74866, -98609? -125650 What comes next: -203605, -202192, -200779? -199366 What comes next: 7598068, 15196130, 22794192, 30392254? 37990316 What comes next: 2602948, 5205799, 7808648, 10411495, 13014340, 15617183? 18220024 What is the next term in 22822, 22991, 23172, 23371, 23594, 23847, 24136, 24467? 24846 What is next in 338832, 338820, 338800, 338766, 338712? 338632 What is next in 3544147, 3544180, 3544213? 3544246 What is the next term in 697839, 697844, 697849, 697854? 697859 What is next in -73186, -73180, -73190, -73210, -73234? -73256 What is next in -781, -310, 163, 638, 1115? 1594 What comes next: -195, -436, -135, 1284, 4397, 9780, 18009? 29660 What is the next term in 1237, 2925, 5811, 9955, 15417, 22257? 30535 What is next in -22608109, -22608107, -22608103, -22608097, -22608089, -22608079? 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311965 What is next in -171, -373, -227, 657, 2669? 6199 What is the next term in -8079828, -8079825, -8079822? -8079819 What is the next term in 73827907, 147655814, 221483721, 295311628, 369139535? 442967442 What comes next: -15112, -15193, -15334, -15541, -15820? -16177 What is next in 61923, 61900, 61847, 61752, 61603, 61388, 61095, 60712? 60227 What comes next: -7017, -7563, -8109, -8655, -9201? -9747 What is next in 232756, 232659, 232562, 232465, 232368, 232271? 232174 What comes next: -7252, -9213, -12486, -17071, -22968, -30177? -38698 What is the next term in -25107, -24813, -24519, -24225, -23931, -23637? -23343 What is next in 4039, 4048, 4083, 4138, 4207? 4284 What is the next term in -4603103, -9206212, -13809319, -18412424, -23015527, -27618628? -32221727 What is the next term in -60249218, -60249217, -60249216? -60249215 What comes next: 722, 623, 466, 257, 2, -293, -622, -979? -1358 What comes next: 3120, 4427, 3920, 1599, -2536, -8485, -16248? -25825 What is next in -785819046, -1571638094, -2357457142, -3143276190, -3929095238, -4714914286? -5500733334 What comes next: 10077, 10093, 10137, 10209? 10309 What is the next term in 35350, 70721, 106120, 141553, 177026, 212545, 248116? 283745 What is next in -9973869, -19947739, -29921609? -39895479 What is next in 34276658, 34276657, 34276654, 34276649? 34276642 What comes next: -3996, -15947, -35876, -63825, -99836, -143951, -196212? -256661 What is next in -11146, -11107, -11038, -10939, -10810? -10651 What comes next: 3184, 7485, 13002, 19741, 27708, 36909, 47350? 59037 What comes next: 7522196, 15044392, 22566592, 30088796, 37611004, 45133216, 52655432? 60177652 What is next in -19405, -19182, -18719, -18016? -17073 What is the next term in 94308, 94688, 95302, 96138, 97184, 98428, 99858, 101462? 103228 What is next in -1668229, -3336459, -5004691, -6672925, -8341161, -10009399? -11677639 What is next in -650, -2117, -4644, -8297, -13142? -19245 What comes next: 270, 371, 504, 669, 866, 1095? 1356 What is next in 864, -266, -2800, -6738, -12080, -18826? -26976 What is the next term in -13747, -28285, -42833, -57391, -71959? 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1412853 What comes next: -2569, -5166, -7791, -10444? -13125 What is next in 8121, 8501, 8881, 9261? 9641 What is the next term in 10770, 43734, 98896, 176256, 275814, 397570? 541524 What comes next: -20082683, -40165385, -60248087? -80330789 What is next in 58285, 116983, 176095, 235621, 295561, 355915, 416683? 477865 What comes next: -269213, -538606, -807999, -1077392, -1346785? -1616178 What comes next: 3335107, 6670214, 10005321, 13340428? 16675535 What comes next: -79642739, -159285493, -238928247, -318571001, -398213755, -477856509? -557499263 What comes next: 6223, 6363, 6739, 7471, 8679? 10483 What is next in -9331, -9345, -9451, -9715, -10203, -10981, -12115? -13671 What comes next: -53219, -95590, -137961, -180332, -222703, -265074? -307445 What is next in -1064239, -2128386, -3192533, -4256680? -5320827 What is the next term in -21236, -13346, -5456, 2434? 10324 What is next in -1285, -5110, -11471, -20368, -31801, -45770, -62275? -81316 What is next in -22912, -23805, -24696, -25585, -26472, -27357? -28240 What is next in 58, 1060, 2754, 5134, 8194, 11928, 16330? 21394 What comes next: 3965, 8581, 13851, 19775, 26353, 33585? 41471 What is next in -121412549, -121412547, -121412545, -121412543, -121412541, -121412539? -121412537 What is the next term in -5866, -23399, -52604, -93475, -146006, -210191, -286024? -373499 What is the next term in 1322494, 1322486, 1322480, 1322476, 1322474, 1322474? 1322476 What is the next term in 465231, 931972, 1398711, 1865448, 2332183, 2798916? 3265647 What is the next term in -3238557, -6477108, -9715659, -12954210, -16192761, -19431312? -22669863 What comes next: -153407, -153400, -153391, -153380, -153367, -153352? -153335 What is next in -41447, -83012, -124575, -166136? -207695 What is the next term in 97, 313, 803, 1597, 2725, 4217, 6103? 8413 What is next in -188153, -190416, -192681, -194948, -197217? -199488 What is the next term in -1385401, -1385398, -1385395, -1385392, -1385389, -1385386? -1385383 What is next in 40547, 40528, 40505, 40478? 40447 What is next in 1674184, 3348304, 5022424? 6696544 What is next in -295, -1954, -6189, -14206, -27211, -46410? -73009 What is next in 1214709, 2429413, 3644117, 4858821? 6073525 What comes next: 543, 2427, 5595, 10047? 15783 What is next in -5828820, -11657637, -17486446, -23315247, -29144040, -34972825, -40801602? -46630371 What is next in 17270420, 17270431, 17270442? 17270453 What is the next term in -176529538, -353059081, -529588624? -706118167 What is next in -3235366, -3235349, -3235332, -3235315? -3235298 What is the next term in -725023, -725016, -725009, -725002? -724995 What comes next: -1238121343, -2476242687, -3714364031, -4952485375, -6190606719? -7428728063 What is next in -6759, -6893, -7109, -7413, -7811, -8309, -8913? -9629 What comes next: 8075892, 16151771, 24227650, 32303529, 40379408, 48455287? 56531166 What is the next term in -1062897, -1062889, -1062879, -1062867, -1062853, -1062837,
{ "pile_set_name": "DM Mathematics" }
0*o + 155. Let i(y) = -5*y - 77. Let c(t) = 2*b(t) + 5*i(t). Let h be c(-15). What is the closest to -0.04 in 0.5, -1/2, h? h Let i = -9511.8 + 9513. Which is the nearest to i? (a) 2/7 (b) 4 (c) 0.1 a Let v(c) = -121*c - 58. Let i be v(2). Let s = i + 904/3. Let f = -0.3 - 0.2. What is the nearest to 1 in -1/4, f, s? s Suppose -5*b + 60 = 5*i, -4*b = 5*i + 185 - 243. Let g = -52 - -207/4. What is the nearest to g in 0.4, i, 3? 0.4 Let m = -0.11566 + 0.21566. Which is the closest to -2? (a) 6/11 (b) 0.4 (c) m (d) 5 c Let h = 7379 + -7374. What is the nearest to -1 in h, -3, 6? -3 Let l = -1.5 + 1.4. Let a = -0.1 - l. Let y = 177.2 + -177. What is the nearest to a in y, 3/5, 1/4? y Let p = 17 - 16.7. Let o = 4.1 - 4.1. Which is the nearest to 0.14? (a) p (b) 1/2 (c) o c Let f(u) = -6*u**3 + u**2 + 304*u + 16. Let y be f(-7). Which is the closest to 2? (a) -1/7 (b) y (c) 0.5 (d) -12 c Let s be (-1056)/(-272) + 6/51. Suppose -3*o = -4*u + s + 15, -4*u + 16 = 0. Which is the closest to 0.13? (a) 1 (b) o (c) -3 a Suppose -25 = t - 14. Let d = t + 13. What is the closest to -1 in -0.3, d, -5? -0.3 Let g = -0.8271 + 1.1271. Let z be 2/6*(2 + -1). Let l be (12/(-4) - -1)/(-2) - 1. What is the nearest to z in 2/9, g, l? g Suppose -113*v = -336 - 229. What is the nearest to 5 in 6/7, 3, v, -2/3? v Let z(m) = -m**3 + 11*m**2 - 3. Let l be z(11). Let r = 46 - 51. Let k be 1/r - (-30)/(-350). Which is the closest to l? (a) k (b) 1/4 (c) 2 a Suppose -6*t + 556 + 134 = 0. Let i be -1*(-4)/10*t/(-92). Let o(h) = 3*h - 3. Let k be o(2). What is the closest to k in -3, -1, i? i Let j = -39 + 116/3. Let a = 31.9 - 30.9. What is the closest to 0 in a, j, -2? j Let n = -9850 - -9846. What is the closest to -2/7 in n, 29, -3, 2/7? 2/7 Let m = -728 + 727.697. Let a = m - -0.103. What is the closest to 0.2 in a, 0.5, -0.3? 0.5 Let b = -47.5 - -39. Let s = 8 + b. Let l = 933 + -938. What is the nearest to 0 in -4/5, l, s? s Let o be 15/4 - (30 + -25). Which is the closest to 0.5? (a) 2/7 (b) 0 (c) o a Let r be (22/2244*68)/(-1 + 17/15). What is the nearest to 0 in r, -10, -0.04, -1/2? -0.04 Let y = 24937.17 + -24937. Let b = -3 + 2.8. What is the closest to -2/7 in y, -0.4, b? b Let s = 74/135 - 988/2295. Suppose -l + 5*i + 15 = 0, 3*i + 9 = -3*l - 0. Let m = -2.9 + 3. What is the closest to m in s, 2, l? s Let n = 0.012 + 0.988. Let c = n + -6. Let u = 4/53 + 253/159. What is the nearest to 0.3 in 1, u, c? 1 Let g = -5.2 + 1.2. Let r = -1.142 + 0.122. Let q = r + 1.52. What is the nearest to q in 1, 0.3, g? 0.3 Suppose 4*d - 5 = -3*w, -5*w = 5*d - 5 - 5. Let y = -2/857 - -1720/2571. Which is the nearest to d? (a) y (b) 2/9 (c) 1 b Let p = -3477 - -3494. Let x = -0.006 - 2.994. Which is the nearest to -1/2? (a) x (b) 1 (c) p (d) -4 b Let m = -0.3 + 1.3. Let c = 26251 + -103535/4. Let a = c - 368. What is the nearest to 1/4 in a, m, -0.4? -0.4 Let x(i) = -3*i + 5. Let m(n) = 4*n - 7. Let h(w) = -5*m(w) - 7*x(w). Let v be h(-5). Let k = 3.354 - 3.054. What is the closest to 2 in k, 4, v? k Let d be (-8)/(-28) + (-38)/35. Suppose 2*l + 3 = -n, 5 = 84*n - 83*n. Which is the closest to 4? (a) d (b) l (c) 0.3 c Let c = -4.1 + 4. Suppose 103*b + 0 + 0 = 151*b. What is the closest to -0.1 in b, -5, c, 2/21? c Let j be 0 - (-1 + -3) - 0. Suppose -r - j*b + 18 = 0, 23 = r + 3*b + 2*b. Let z = 5.2211 + -4.2211. What is the closest to r in z, -3, -4? -3 Let z = 101.1 + -101. Which is the nearest to 6? (a) 2/3 (b) z (c) -3 a Let s = 9.23 - 12.23. Which is the nearest to -1/4? (a) 0 (b) s (c) 3/7 (d) 0.009 a Let n = 83/182 + -61/91. Which is the closest to -2? (a) -2/7 (b) n (c) 0.1 (d) -0.048 a Let x = 472.9 - -64.1. Let p = -536.95 + x. Which is the closest to -7? (a) -1 (b) 0 (c) p a Let l = -929/2 - -465. Let v = -0.0442 + 0.4442. Which is the nearest to l? (a) -17 (b) 0 (c) v (d) -3 c Let m = -8637 + 8632. Which is the closest to -0.2? (a) -2/3 (b) 0.5 (c) -3.8 (d) m a Let y = 855.3 + -855.7. Which is the closest to y? (a) -2 (b) -4 (c) 0.05 (d) -0.3 d Let n = 2/43 - 108/473. Let x = -7 + 3. Let d = 1.54297 + 0.05703. Which is the nearest to -1/2? (a) n (b) x (c) d a Let u = 5975.99 - 6016. Let t = 40 + u. Let j = 0.19 - t. What is the nearest to -0.1 in -16, 1, j? j Let h = 4831/10 + -26333/30. Let o = h + 396. Which is the nearest to 0? (a) 1 (b) 3/2 (c) 4 (d) o a Suppose 0 = 2*j - b + 37, -2*b + 8 = 5*j + 96. Let y be j/15*5 + 12. What is the nearest to -2/5 in -5, -3, y? -3 Let h = 259/633 - 16/211. Which is the closest to h? (a) -19 (b) 0.2 (c) -2/11 b Let z = -147 - -146.92. Let r = -884 - -6184/7. What is the closest to -1 in z, r, 2/3? r Let r be (1/1)/((30/12114)/1). Let f = -404 + r. What is the nearest to -1 in -0.5, -13, 0.04, f? -0.5 Let i = -98 + 96. Let a be 11/66 - -71*(-3)/i. Let z = a + -106. What is the closest to z in -0.5, -1, 0.02? 0.02 Let q = -19611 + 19608. What is the closest to -0.3 in q, 7/5, -0.5, -5? -0.5 Let t be 33/88*(-5)/(-15). What is the closest to -1/4 in 0.3, -1, 29, t? t Let x = 83/51 - -2/51. Let k be 100/1075*(1 - 2). What is the closest to 0 in x, k, 0.4? k Let n = -1584 + 1583. What is the nearest to n in 5, -60, 0.3, 4? 0.3 Let i = 40500.5 - 40501. Let p = 4 - 2. What is the closest to p in 0, i, 2? 2 Let z = -29.2 - -62.4. Let v = z - 33.1. Which is the nearest to v? (a) 6/5 (b) -0.3 (c) 2/7 c Let f = -5.2447 + 2.2447. Let s = 20.24 + -0.24. Which is the nearest to s? (a) -0.5 (b) 0.2 (c) f b Let i = -1.416 - -0.44. Let r = -0.7 - -0.724. Let m = i - r. Which is the nearest to m? (a) -1/5 (b) 2 (c) 1 a Let a be (-8)/(-3)*(-21)/(-28). Suppose 0 = -c + 4*c - a*r - 7, 5 = -r. What is the closest to c in 0.04, 0, 2/11? 0 Let x(m) = -2*m**3 - m**2 - 68*m - 68. Let k be x(-1). What is the closest to k in 0.3, 4, 123? 0.3 Let m = 37132 + -37132.5. What is the nearest to 5/7 in 0.09, m, 3? 0.09 Let n(l) = -l**3 + 23*l**2 + 79*l - 35. Let h be n(26). What is the closest to -0.064 in -5, 0.3, h, 4? 0.3 Suppose 138 + 122 = 20*o. Let t be 7/3 + (o - 18). Which is the nearest to 1/2? (a) t (b) 4 (c) 2/5 c Let q = -505.28 - -505.5. Suppose 4 = -5*n + 3*i - 11, 0 = 2*n + 4*i - 20. What is the closest to 1 in n, 4, q? q Let t = -544 + 543.8. Which is the closest to 2/3? (a) t (b) -1 (c) -0.4 a Let b = -10 + 7. Let t be (63/36)/((-2079)/(-264)). Let o = -0.12 - 0.58. What is the nearest to o in -4, t, b? t Let g = 393475 - 393474.8. Let u = -0.7 + 0.4. Which is the nearest to g? (a) u (b) 3/2 (c) -4 a Let f = 29345.99 + -29346. What is the closest to 1/5 in -0.06, f, 1, -2/5? f Let x(n) = -18*n - 113. Let m be x(-6). Let q be (-32)/(-1 + -3) + m. Which is the closest to -1/4? (a) 5 (b) 1 (c) 0.2 (d) q c Let t = 2846 + -2916. What is the nearest to t in -6, 0.2, -5, -0.5? -6 Let f = 12941 + -12941. Suppose 4*u - 4*j - 12 = 0, 5*u + 0 = -j + 27. Let w = -2 + u. What is the nearest to -1 in f, -1/3, w? -1/3 Let j = 236 + -241. Which is the closest to 1/3? (a) -11 (b) j (c) -22 b Let h be (315/114)/(-7) + (-6)/57. What is the closest to h in 26, 4, -3? -3 Let v = 0.032 + -1.132. Let g = v + 6.1. Suppose 2*r - 6*r = 16. What is the closest to 2/5 in g, -0.2, r? -0.2 Let x = -1259 + 1260. Let q(n) = -n**3 - 7*n**2 + 9*n - 7. Let o be (2/3)/(1/(-12)). Let y be q(o). Which is the nearest to -1? (a) x (b) y (c) 0.5 c Let r(y) = -43*y + 17*y + 31*y - 52. Let d be r(11). What is the closest to 3/10 in 0.4, -1/3, d? 0.4 Let o = 2.98208 - -0.01792. What is the closest to -0.1 in 0.0462, o, -5? 0.0462 Suppose 27*q = -59 - 22. Suppose -7*y + 211 = 246. Which is the nearest to q? (a) 3 (b) 1/4 (c) -0.06 (d) y d Let r = 1/1671 + 45089/46788. Let p = r - 977/84. Let a = -34/3 - p. What is the closest to 2/3 in a, 1/6, 3? 1/6 Let t(k) = -k - 13. Let x be t(-10). Let p be (-1)/2*10/x. Let b = 0.427 + -0.927. What is the closest to 0.03 in b, p, -2? b Let r = 0.1 - 0.2. Let u be ((-126)/74)/(-3)*(-1332)/259. Let d = u - -614/185. Which is the closest to d? (a) 8/5 (b) 5 (c) r c Let j = 25526 - 25525.7. Let y = 2.03 - 0.03. What is the closest to j in -1, -4, y? -1 Let z = 62 - 437/7. Let v = -18 - -22. Let d = 0.074 + 0.026. What is the nearest to 3/2 in v, z, d?
{ "pile_set_name": "DM Mathematics" }
by (21/(-6))/(((-7)/4)/7)? 12 Let t(j) = 2*j**3 + j**2 - 4*j + 3. Let k be t(2). Calculate the remainder when 1/(-2) + k/2 is divided by 75/27 + 8/36. 1 What is the remainder when 1 + 4 + -9 + 105 is divided by 34? 33 Let c(y) = -y**3 - 5*y**2 - 7*y - 6. Let r = 0 + 3. Let n be 0 + (0 - 1) - r. What is the remainder when c(n) is divided by 4? 2 Calculate the remainder when 29 is divided by 82/8 - (-2)/(-8). 9 Suppose -4*q + 8 = -0*q. Let p be (-4)/2 + q + 0. Suppose p = 2*i - 5*a - 54, -i - 4*a = -2*a - 36. What is the remainder when i is divided by 17? 15 Let f(s) = -s**3 - 3*s**2 - s + 4. Let a = 35 + -20. Suppose -a = 2*z - 7. What is the remainder when f(z) is divided by 13? 11 Let t be -6 + 3 + 3/1. Suppose t = -5*q + 3*q + 86. What is the remainder when q is divided by 11? 10 Let z = -13 - -17. What is the remainder when 7 is divided by z? 3 Let w = -59 + 68. Suppose -25 = -5*j - 0*o - 5*o, -14 = -2*j + 2*o. Calculate the remainder when w is divided by j. 3 Let y = 303 + -163. What is the remainder when y is divided by 18? 14 Let y = 437 - 829. Let h = -273 - y. Calculate the remainder when h is divided by 30. 29 Let m(j) = -4*j - 2. Let r be m(-1). Suppose -6 = -3*h + 6. Suppose -2*w + 38 = h*f, r*f - f - w - 2 = 0. Calculate the remainder when f is divided by 4. 3 Let l(d) = 1. Let p(i) = 4*i - 3. Let o(c) = 3*c - 3. Let r(g) = 3*o(g) - 2*p(g). Let t(q) = 4*l(q) - r(q). What is the remainder when 13 is divided by t(0)? 6 Suppose 4*p - 12 = -4*r, -4*r - 5*p - 3 = -10. Calculate the remainder when 37 is divided by r. 5 Suppose -1 = -k + 12. Calculate the remainder when 153 is divided by k. 10 Suppose -3*p = p - 76. Calculate the remainder when 0 - 2 - (-8 - 30) is divided by p. 17 Let o be 70/21 + (-2)/6. Suppose 2*h - o*h - 10 = 0. What is the remainder when (-6)/15 + (-404)/h is divided by 14? 12 Let f(h) be the first derivative of -2*h**2 - 6*h - 1. What is the remainder when f(-10) is divided by 12? 10 Let z(g) = -5*g - 1. What is the remainder when 26 is divided by z(-2)? 8 Suppose -5*f - l + 55 = -24, -5*l + 5 = -f. What is the remainder when 87 is divided by f? 12 Suppose -l + 2*x = -14, 3*l - 53 = -5*x - 0*x. What is the remainder when 57 is divided by l? 9 Let n = 1 + -1. Let b(o) = o + 0 + n + 6*o. Calculate the remainder when 26 is divided by b(2). 12 Suppose 0 = -9*a + 4*a + 15. Calculate the remainder when 7 is divided by a. 1 Suppose 5*d = 3*v + 107, -5*d + 89 = -4*v - 22. Suppose -28 = -3*z - 2*t, -z - t = 2*t - 7. Suppose 0*b - z = -b. What is the remainder when d is divided by b? 9 Let l(y) = y**2 - y + 3. Suppose 3*i = 3*b - 18, -i = 4*i + 15. Let t = b + 5. Calculate the remainder when l(-3) is divided by t. 7 Let x = 348 - 222. Calculate the remainder when x is divided by 32. 30 Let c(x) = x**2 + 11*x + 18. What is the remainder when c(-13) is divided by 15? 14 Let c = -263 + 458. Calculate the remainder when c is divided by 28. 27 Suppose 3*d = l + 17, -5*d + 0 = 3*l - 5. Suppose d*u - 6 = 2. Calculate the remainder when u is divided by 2. 0 Suppose -2*b - 6 = -3*j + 59, 0 = 3*j - 3*b - 69. Let h be 4*(-1 - j/(-2)). What is the remainder when h/3 - (-2)/(-6) is divided by 4? 3 Let f(t) = t**2 - 3*t - 8. Let j = -146 + 219. Suppose 17 + j = 5*b. What is the remainder when b is divided by f(6)? 8 Suppose -4*v - 9 = -29. Let u(q) = q**2 - 3*q + 2. What is the remainder when u(5) is divided by v? 2 Suppose -2*t + i + i = -54, -4*i = -5*t + 140. Calculate the remainder when t is divided by (-4)/(-18) - (3 - (-356)/(-18)). 15 Let z = -17 + 19. What is the remainder when 13 is divided by z? 1 Let p be (-3)/3 - (3 - 9). Suppose 13 = -p*w + 6*w. What is the remainder when 64 is divided by w? 12 Let f(d) = d**3 - 15*d**2 + 2*d - 4. Let o = 18 - 3. What is the remainder when 75 is divided by f(o)? 23 Suppose -2 = 5*c + 3. Let a be 3/(-1) + 302 + c. Suppose y + 2*b = 61, -5*y - b - 2*b = -a. Calculate the remainder when y is divided by 12. 11 Suppose -74 = -5*g + 11. What is the remainder when g is divided by 10? 7 Let w(f) = -3*f**3 - f - 1. Let t = -3 + 2. Let h be w(t). Suppose -h*c - 3*a + 75 - 21 = 0, 5*a = 4*c - 90. Calculate the remainder when 58 is divided by c. 18 Suppose 3*w = w + 4. Calculate the remainder when 14 is divided by (-2 + (11 - -1))/w. 4 Let n be (4/3)/(2/3). Let k = -25 + 39. Calculate the remainder when n/((-12)/39)*-4 is divided by k. 12 Let x be 1 - (0 - (0 + -1)). What is the remainder when 8 is divided by x + 1 + 12/3? 3 Let a(l) = 2*l**2 + 7*l + 9. Calculate the remainder when a(-6) is divided by 10. 9 Suppose -j - 6 = -51. Calculate the remainder when j is divided by 25. 20 Suppose -4*v = -3*z - 217, v = -0*v + 3*z + 43. Suppose 0 = n - 4 - 16. What is the remainder when v is divided by n? 18 Suppose 12 = -0*k - 4*k. Let z be (-10)/(-15) + (-7)/k. What is the remainder when 4 is divided by z/(-2)*(0 - 2)? 1 Suppose r + q = 79, 364 + 49 = 5*r - q. What is the remainder when r is divided by 28? 26 Let a = 223 + -134. Calculate the remainder when a is divided by 24. 17 Let a = -3 + 6. Let x(f) = 0*f**a + f**3 + 7 + 0 + f**2. What is the remainder when 12 is divided by x(0)? 5 Let u(i) = i**2 + i. Let a be u(0). Let j(b) = b**3 + b + 22. Let s be j(a). Let x = s - 4. What is the remainder when 35 is divided by x? 17 What is the remainder when 76 is divided by (4/(-1 - 3))/(2/(-26))? 11 Suppose -3*w = 5 - 104. What is the remainder when w is divided by 17? 16 Suppose 0 = 2*h - 6 - 62. What is the remainder when h is divided by 9? 7 Let k(s) = s**3 - 16*s**2 + 27*s + 23. What is the remainder when 23 is divided by k(14)? 5 Let k = 29 - 9. What is the remainder when k is divided by 7? 6 Let l = 26 + -1. Calculate the remainder when l is divided by 7. 4 What is the remainder when 2/(-6) + 536/24 is divided by 6? 4 Suppose 0*g - 5*g + 3120 = 0. Suppose 4 + g = 4*s. Suppose f + 99 = -y + 4*y, -5*y + s = f. What is the remainder when y is divided by 17? 15 Suppose k - 13 = 3*o, -k - 65 = -6*k - 3*o. What is the remainder when k is divided by 5? 3 Suppose 12 = 4*t - 0*t. Suppose -b + 0*b - 22 = -d, -d = t*b - 22. What is the remainder when (d/(-3))/(1/(-3)) is divided by 8? 6 Let n(k) = 4*k - 4. What is the remainder when 98 is divided by n(6)? 18 Let a = 64 + -33. Calculate the remainder when a is divided by 11. 9 Let z(w) = -w**3 + 5*w**2 + 9*w - 9. Suppose 2*j - 29 = -s + 6*s, -15 = 3*s - 2*j. Let m = 13 + s. What is the remainder when z(m) is divided by 5? 4 Suppose 2*o + 0*t = -t - 51, 3*t - 3 = 0. Let v = 0 - 3. Calculate the remainder when 37 is divided by v/6*o*1. 11 Let b = 12 - 6. Suppose 104 + b = 2*y. What is the remainder when y is divided by 19? 17 Suppose 2*f = -0 - 12. Suppose 2*b + 7 + 7 = 2*x, 0 = 4*b - 16. Calculate the remainder when (6/5)/(f/(-160)) is divided by x. 10 Let r(p) = -p**2 - 15*p - 9. Calculate the remainder when 49 is divided by r(-13). 15 Suppose 6*f - 8 = 2*f. What is the remainder when 13 is divided by 10/f*(1 - 0)? 3 Let f = 3 - 5. What is the remainder when 1/(-2)*f*25 is divided by (-4 + 1)/((-3)/9)? 7 Let b = 56 + -50. Suppose 29 = -5*k + 69. Suppose -2*p + k = -0*p. What is the remainder when b is divided by p? 2 Let d be -2 - (101 - (-6 + 3)). Let o = -27 - d. Calculate the remainder when o is divided by 20. 19 Let z(s) = s + 14. Let r be z(-12). What is the remainder when 27 is divided by r/7 - 141/(-21)? 6 Let s = 0 - 0. Let p = 3 + s. Suppose -38 = -p*i - 4*a + 20, 3*a - 21 = -i. What is the remainder when i is divided by 10? 8 Suppose 0 = 4*w - 3*d - 64, -18 = 5*d + 2. Calculate the remainder when 62 is divided by w. 10 Let d(m) = -9*m - 43. Calculate the remainder when d(-11) is divided by (1 + 2)*29/3. 27 Let s be (-76)/(-18) - (-6)/(-27). Calculate the remainder when (2 - -46)/(-3 + s) is divided by 25. 23 Suppose 0*j = 4*j. Suppose -3*a = j, a = d - a - 26. What is the remainder when 576/d - (-4)/(-26) is divided by 8? 6 Suppose 0 = -4*v + 5*o + 178, 4*v + 4*o - 76 = 2*v. Calculate the remainder when 20 is divided by (2/4)/(3/v). 6 Suppose 4*t = 4*o + 216, 3*o = 2*t - 136 + 31. What is the remainder when t is divided by 12? 9 Calculate the remainder when 2 - (3/3 - 64) is divided by 17. 14 Let v(p) = p**3 - 4*p**2 + p + 2. Let a be v(3). Let n(m) = -m**
{ "pile_set_name": "DM Mathematics" }
913*o**2 + 396105101 wrt o. 4*o**3 - 12*o**2 + 29635826*o Differentiate -88121257*s**4 + 47078067. -352485028*s**3 Differentiate 14538372*b**2 + 4958364. 29076744*b What is the third derivative of 25280963*x**3 - 412045*x**2? 151685778 What is the second derivative of 27*v**4 + 2284443*v**3 + 608296023*v? 324*v**2 + 13706658*v What is the first derivative of 19213648*p - 996372457 wrt p? 19213648 What is the second derivative of 5967841*i**3 + 167573364*i wrt i? 35807046*i Find the third derivative of -2*a**6 - 3648*a**4 + 975*a**3 + 101133015*a**2 wrt a. -240*a**3 - 87552*a + 5850 What is the third derivative of 4*b*q**6 + 27206219*b*q**4 + 214*b*q**2 - 10*b*q - 56*b - 5*q**2 - 12 wrt q? 480*b*q**3 + 652949256*b*q Find the third derivative of 528181059*u**6 - 863114*u**2 + 122*u. 63381727080*u**3 What is the first derivative of -37*g*s**2 - g*s - 202968*g + 3427*s**2 - 100204 wrt g? -37*s**2 - s - 202968 Differentiate 18*j**2*z**3 - 650042*j**2*z**2 - 5921*j**2 - 631 with respect to z. 54*j**2*z**2 - 1300084*j**2*z What is the third derivative of 2694635*x**3 - 6807901*x**2 wrt x? 16167810 Find the second derivative of -10442721*a**4 - 144078*a + 13. -125312652*a**2 What is the second derivative of 51*p**3 - 24157*p**2 + 7447*p + 558 wrt p? 306*p - 48314 What is the third derivative of 55473*f**2*k**5 + 144*f**2*k**3 - f**2*k**2 + 2201*f**2*k + 6*f*k**2 - 203*k wrt k? 3328380*f**2*k**2 + 864*f**2 Find the second derivative of 13912767*k**3 + 34715293*k. 83476602*k Find the second derivative of -76689470*v**4 - 153743257*v wrt v. -920273640*v**2 What is the second derivative of -39292188*r**2 + 61583020*r? -78584376 What is the third derivative of -2313*x**4 + 35058*x**3 + 59886252*x**2? -55512*x + 210348 Find the second derivative of 273724041*q**2 - 160295079*q wrt q. 547448082 Find the third derivative of -1412056*h*y**5 - 10*h*y**2 - h*y + 306*h + 2*y**4 + 39*y**2 + y wrt y. -84723360*h*y**2 + 48*y Find the first derivative of 5789532*a**2*r - 60271*a**2 - 87*a - 2*r wrt r. 5789532*a**2 - 2 Differentiate -233576861*h - 298741532. -233576861 What is the third derivative of 84*c*l**3*x - 26*c*l**2*x - 2*c*l**2 + 14*c*l*x - 2*c*l + c*x - 8*l**3*x + 25882*l**3 + 2*l*x - 506*l wrt l? 504*c*x - 48*x + 155292 What is the derivative of -147605*n**3 - 4*n + 85612368? -442815*n**2 - 4 What is the second derivative of 8514192*c**3 + 769054*c - 1 wrt c? 51085152*c Find the second derivative of -538*p**2*q**2 - p**2*q + 312426*p**2 + 6*p*q**2 - 2*p*q + p + 2227*q**2 + 78*q - 2 wrt p. -1076*q**2 - 2*q + 624852 What is the first derivative of 1474453*b*z**2 + 187*z**2 - 4976 wrt b? 1474453*z**2 What is the third derivative of -43*m**4*y**2 - 756*m**4*y - 18*m**3 - 2*m**2*y + 2*m*y**2 - 1054580*m*y wrt m? -1032*m*y**2 - 18144*m*y - 108 What is the third derivative of 13009534*b**3 - 41937425*b**2? 78057204 Find the first derivative of 51169363*i + 44240560. 51169363 Find the third derivative of 470*d*l**4 - d*l**3 - 7*d*l**2 + 2*d*l + 8*d + 1324*l**4 + 6*l**2 - 7405*l wrt l. 11280*d*l - 6*d + 31776*l What is the derivative of -238151600*t**3 - 448225381 wrt t? -714454800*t**2 Differentiate 22*h**4 - 3*h**3 + 24*h**2 - 3496*h - 65602527. 88*h**3 - 9*h**2 + 48*h - 3496 What is the second derivative of 865459*d**3 - 12*d**2 - 76*d + 620358 wrt d? 5192754*d - 24 Differentiate 2*f**2*t - 6305*f**2 - 2987069*f*t + 14*f + 7 wrt t. 2*f**2 - 2987069*f Find the third derivative of -1291511*g**2*r**3*w**3 - 22785*g**2*r**3 + 50*g**2*w**3 - 4*g*r**2*w - r**3 + 3*r**2*w**2 wrt w. -7749066*g**2*r**3 + 300*g**2 What is the third derivative of -36*c**3*r - 919859*c**3 + 5*c**2*r + c**2 - 5*c*r - 68910*r - 24 wrt c? -216*r - 5519154 What is the second derivative of -78610216*m**5 + 132575267*m? -1572204320*m**3 What is the first derivative of 34415802*n**3 - 680403651 wrt n? 103247406*n**2 What is the derivative of -3852251*c**3*z - 1268*c**3 - 18*c**2 - c - 1 wrt z? -3852251*c**3 Differentiate 240662*k*n*q + 12*k*n - 15*k*q + 3*k + 16956 wrt q. 240662*k*n - 15*k Find the second derivative of -149*m*p**2*y**2 + 16971*m*p**2*y - m*p*y**2 - 2*m*p*y - m*y - 18295*p*y**2 - 2*y wrt p. -298*m*y**2 + 33942*m*y Find the third derivative of 31249*f**2*y**3 - 2*f**2*y + 5*f**2 - 698*f*y**3 - 106*f*y**2 + f*y + 2*f - 555*y wrt y. 187494*f**2 - 4188*f Differentiate 66*r**2*y + 275*r**2 + 2*r*y - 709*r + 216873867*y wrt r. 132*r*y + 550*r + 2*y - 709 Find the third derivative of 151*a**3*d**2*i - 363306*a**3*d*i**2 - 6*a**2*d*i - 46*a**2 - 9*a*i - 2*d**2*i**2 - 947*d**2*i wrt a. 906*d**2*i - 2179836*d*i**2 Find the third derivative of -97882*c**3*t - 69*c**3 - 6*c**2*t - 2*c**2 + 1094*c*t - 458 wrt c. -587292*t - 414 What is the derivative of -11659234*x**2 + 38865204 wrt x? -23318468*x What is the second derivative of 5918*a**3*p**2 + 287*a**3*p + 23*a**2*p + 6594*a*p**2 - a*p - 49*a + 2*p**2 + 11 wrt a? 35508*a*p**2 + 1722*a*p + 46*p Find the second derivative of -61*s*t**5 + 506*s*t**2 - 2*s*t + 13189*s + 92*t**2 + 4936*t wrt t. -1220*s*t**3 + 1012*s + 184 Find the first derivative of 1992*m*y**3 + 237*m*y**2 - 13*m + y**3 + 4229*y**2 + 327*y wrt m. 1992*y**3 + 237*y**2 - 13 Differentiate -41448133*v**3 + 2*v**2 + v + 48478201 wrt v. -124344399*v**2 + 4*v + 1 Find the second derivative of -318212765*b**2 + 806684243*b. -636425530 What is the third derivative of -21*b**3*r**3 + 10*b**3*r - 5*b**3 + 457489*b**2*r**3 - 1855*b*r**2 + 3*r**3 - 48*r**2 wrt r? -126*b**3 + 2744934*b**2 + 18 Find the second derivative of 156727*h**3 + 107*h**2 + 8*h + 139856. 940362*h + 214 What is the third derivative of -11862931*p**6 + 5*p**2 + 652008? -1423551720*p**3 Differentiate k**2*p + 67*k**2 + 2343*k*p - k - 776598653*p with respect to k. 2*k*p + 134*k + 2343*p - 1 What is the third derivative of 8688084*i**3 - 161*i**2 - 10*i - 15 wrt i? 52128504 Find the second derivative of -1077*k**4 + 53138*k**3 - 532551913*k wrt k. -12924*k**2 + 318828*k What is the third derivative of -3*f**3*r**3*t**3 + f**3*r - 2*f**3 + 2*f**2*r**3*t**2 - 3*f**2*r**2*t + 20792572*r**3*t**3 - 569*r**2*t**2 - r wrt t? -18*f**3*r**3 + 124755432*r**3 Find the third derivative of 15721842*h*m**3 - 27962449*h + m**2 wrt m. 94331052*h Differentiate -312617406*b - 314422950 wrt b. -312617406 What is the third derivative of 4*m**4*p + 222*m**3*p**2 - 4645*m**3*p - 1484325*m**2*p**2 - 6*p**2 wrt m? 96*m*p + 1332*p**2 - 27870*p What is the third derivative of -608577879*g*v**3 + 34*g*v**2 - 664*g*v - 2*g - 2*v**3 + 2*v**2 + 902*v wrt v? -3651467274*g - 12 What is the third derivative of 36953693*m**4 + 5788718*m**2 + m - 17? 886888632*m Find the third derivative of -584*g**3*p - 33767*g**3 + g**2*p + 77*g**2 + 4*g*p - 2*g - 111*p + 10 wrt g. -3504*p - 202602 Find the third derivative of -3788*n**5 - n**4 - 294*n**3 + 8960422*n**2. -227280*n**2 - 24*n - 1764 Differentiate -73229*u*z**2 + 519*u*z + 138129900*u + z**2 wrt z. -146458*u*z + 519*u + 2*z Find the second derivative of -491852908*f**2*k - 1014597*f*k - 3*f - k + 1 wrt f. -983705816*k What is the third derivative of 183932224*o**3 + 23*o**2 + 1811435*o wrt o? 1103593344 What is the second derivative of 48131052*a**2*n**2 + 21*a**2*n + 827901*a*n - 2*n wrt n? 96262104*a**2 Find the second derivative of 188046424*h**2 - 50*h + 43183. 376092848 What is the first derivative of 2050192*m**2*q + 3*m*q**2 + 2*m*q*r + 2*q**2*r - 159*q*r - 23*r + 237 wrt m? 4100384*m*q + 3*q**2 + 2*q*r Differentiate -5603421*l**3 + 4*l**2 + 110891919. -16810263*l**2 + 8*l What is the second derivative of 18129*r**2*z**3 - 355*r**2*z**2 - 2681*r*z**3 + 23*r*z wrt r? 36258*z**3 - 710*z**2 What is the derivative of -3300445*t**2 - 2*t + 348505? -6600890*t - 2 Differentiate -434862399*p + 636320116 wrt p. -434862399 Differentiate -17*n*t**3 + n*t**2 - 438459*n*t - 12547485*t**3 wrt n. -17*t**3 + t**2 - 438459*t Find the first derivative of 45904*g*o**2 - 1060*g*o - 364621940*g wrt o. 91808*g*o - 1060*g What is the first derivative of 922525310*u - 130256040? 922525310 Find the first derivative of 389850*k*x**3 - 896*k*x**2 + 788631*x**3 + 40 wrt k. 389850*x**3 - 896*x**2 Find the third derivative of 323492*a*v**5 - 2*a*v**3 - a*v - 2*a - 1041*v**2 + 3*v - 1 wrt v. 19409520*a*v**2 - 12*a What is the
{ "pile_set_name": "DM Mathematics" }
). Suppose 31 + f = 5*s. Is s composite? True Let m(q) = 16*q**3 + 3*q - 3. Let k be m(2). Let n = 8 + k. Is n composite? False Let g(s) = 5*s**2 + 4*s - 7. Let b(j) = j**2 + j - 1. Let y(p) = -4*b(p) + g(p). Let w = 16 - 10. Is y(w) composite? True Let c = 0 - -2. Is (178/4)/(1/c) prime? True Suppose 52 = -0*d - d + 4*a, d - 5*a = -52. Is -1 + (0 - d) + 2 a prime number? True Suppose 4*g - 3*g = 10. Let n(q) = q**3 - 9*q**2 - q + 4. Is n(g) a composite number? True Let w(o) = o**2 + o + 1. Let l(i) = 4*i**2 + 8*i + 10. Let n(g) = -l(g) + 5*w(g). Let k be n(5). Suppose -k*p + 7 - 17 = 0, u = 3*p + 41. Is u prime? False Suppose m = -0*m + 3. Suppose -3*y - m = -0*y. Is 20*1*1 - y composite? True Suppose 5*n + 546 = -n. Let x = n + 276. Is x prime? False Let p(s) = 16*s**3 - 5*s**2 - 2*s + 4. Let y(j) = -8*j**3 + 2*j**2 + j - 2. Let v(q) = 2*p(q) + 5*y(q). Is v(-3) a prime number? True Suppose m = -0*m + 1. Let c be (5 - 6)*3/m. Is 80 + c + -2 + 2 prime? False Let m(y) be the first derivative of -642*y**2 + y - 2. Let h be m(-1). Suppose 3*a - 1285 = -2*a + 5*g, 5*a + g - h = 0. Is a a prime number? True Let v = -14 + 17. Suppose -s = x + 3*x - 2736, -v*s - 3437 = -5*x. Is x composite? True Let y(w) = 30*w + 2. Is y(4) a composite number? True Suppose -2*b + 6*b = 4, -4 = -2*d + 4*b. Suppose 3*f + d*u + 182 = 0, 0 = 3*f + 2*u + 37 + 135. Let p = f + 133. Is p a prime number? True Let u(l) = -4*l**2 - 2*l - 3. Let s be u(-3). Suppose -i - 742 = 5*a, -3*i + 290 = -2*a - 0*a. Let q = s - a. Is q a composite number? True Let n be (-38)/14 + (-4)/14. Let u = -1 - n. Suppose 0 = -c + 3*l + 82, u*c - 4*c = -5*l - 163. Is c a composite number? False Suppose 21 = 4*w - 3*a - 10, 12 = -2*w - 4*a. Is (158/6)/(w/12) a composite number? False Let i = 197 - 78. Is i composite? True Let a(q) = -3*q - 4. Let s(k) = k + 4. Let l be s(-8). Let u be a(l). Let f = 43 - u. Is f a composite number? True Is 2098 + (4 - -2)/2 a prime number? False Let s be 6/10 - (-4)/10. Let h be (-11 + 1)*(s + 0). Is ((-3)/(-2))/((-5)/h) a prime number? True Let p = -24 + 28. Suppose i + 2*i - 423 = p*l, -4*l = 0. Is i prime? False Let y(q) = 57*q**2 - q - 1. Let s be y(-1). Suppose l + 7*v = 2*v + 19, 5*l - 26 = -2*v. Suppose -l*x + s = -x. Is x a composite number? False Is 2 + 104 + (-1 - -1) a prime number? False Let i(y) = y. Suppose -2*v - 2 = -8. Let c be i(v). Suppose c*r - 30 = 33. Is r composite? True Let t(s) be the second derivative of s**6/60 - s**5/20 + s**4/4 + s**2/2 - 3*s. Let k(u) be the first derivative of t(u). Is k(5) a prime number? False Let c be (-19)/(-1)*(-4 + 5). Suppose -5*x - c = -u - u, x = 2*u + 1. Is u*(-3 - -4) + 188 a prime number? False Suppose -5*j = -352 - 658. Let s = j + -144. Is s prime? False Suppose 8 = -4*t, 2*s - 7*s = -2*t - 5214. Is s prime? False Suppose t = -3*t. Suppose t = -d - 2*h + 25, -2*h - h + 90 = 4*d. Is d a composite number? True Let h(k) = 3*k**2 + 4*k + 1. Is h(6) a composite number? True Let v = 567 + -88. Is v a composite number? False Suppose 2*u + 2 = -8, 568 = 3*g + u. Is g a prime number? True Let g(r) = 238*r - 3. Is g(1) prime? False Is (-8)/32 + 3183/12 composite? True Let t be (36/(-5))/(4/(-20)). Let g = t - 21. Let u = 34 - g. Is u a prime number? True Suppose 2*y + y = 0. Suppose y = 5*b - 3*b - 212. Suppose -b = -3*f + f. Is f composite? False Let r be 1 + ((-4)/(-2) - -116). Suppose -270 = -5*p - t, 5*p + 5*t - 171 = r. Is p prime? True Let t be (-1)/3 + 76/12. Let s be 10/((t*1)/3). Let f(q) = -q**3 + 6*q**2 - 5*q + 6. Is f(s) composite? True Suppose 0 = 5*b - 2*t + 16, 0 = -4*t - t + 15. Is (-2080)/(-13) + -1 + b prime? True Let f(u) = u + 11. Let m be f(-10). Let a(s) = -s**2 + 7*s + 3. Let p be a(7). Is 294/9 + m/p composite? True Suppose 9*t = 4*t - 455. Let w = -20 - t. Is w a prime number? True Let z(b) = 9*b**2 + 14*b + 11. Let q be z(-9). Is q/(-6)*(-3)/1 composite? False Let x(c) = -9*c**3 - 4*c**2 - 1. Let y be x(3). Let r = y + 513. Is r composite? False Let g(d) = -204*d**2. Let u be g(1). Let z = 317 + u. Is z prime? True Let d(k) be the first derivative of 7*k**3/3 + k**2 + 2*k - 2. Let t be (-3 + 1)/((-14)/(-21)). Is d(t) composite? False Let l be (-76)/(-28) - (-4)/14. Suppose -l*r + 146 - 35 = 0. Is r composite? False Let y = 387 - -10. Is y a composite number? False Suppose 0 = -g - g - 8. Let c be (-1)/4 - 13/g. Suppose -u = c*a - 7, -4*u + u - a = -37. Is u composite? False Suppose 0 = -2*o + 4*o. Is (o/1 - -37)/1 a prime number? True Suppose 5*w + 5*m + 5 = 0, -2*w + 7*w - 15 = 5*m. Let n = w + 1. Let l(j) = 5*j + 1. Is l(n) composite? False Suppose -3*t = 5*d, 4*d + 6*t + 3 = 3*t. Let n(i) be the third derivative of 2*i**5/15 + i**4/8 - 2*i**3/3 - i**2. Is n(d) a prime number? False Let n = 6 + 77. Let v = -23 + n. Is 4/(-14) + v/14 prime? False Is (-1)/2 - 5224/(-16) composite? True Suppose 0 = 4*s - 1300 - 696. Is s a prime number? True Let h = -347 - -646. Is h a prime number? False Let q be ((9/(-3))/(-1))/1. Let i = q - -23. Is i composite? True Let i(x) = 2 - 65*x - 1 - 51*x. Is i(-2) a prime number? True Is (-305)/(-25) - 4/(-5) prime? True Let m(s) = 11*s**2 + 39*s - 10. Let a(v) = 5*v**2 + 19*v - 5. Let b(k) = 13*a(k) - 6*m(k). Let r be b(9). Let f = r + -17. Is f a prime number? False Suppose q = 0, 3 = 3*m + 3*q - 12. Let r = 16 + 8. Suppose -2*c - 3*n + m = -r, -4*n = 3*c - 46. Is c a composite number? True Let x(f) = -f**3 + 7*f**2 + 3*f + 4. Is x(-5) a composite number? True Let d = 14 + -11. Suppose 3*w = 3*k - 153, -d*w + 0*w = 2*k - 92. Is k a prime number? False Suppose 0 = 4*o + 328 - 3108. Suppose -3*t = -0*s + 3*s - 417, 0 = 5*t + 3*s - o. Is t a prime number? True Let m(x) = 2*x + 8. Let y be m(6). Suppose 0 = s - 139 + y. Is s prime? False Let f(v) = 27*v - 7. Let s(m) = -28*m + 8. Let b(q) = -4*f(q) - 5*s(q). Let d be b(10). Suppose -3*u - u = -d. Is u a prime number? False Let w be (-7 - 5)*(-2)/4. Let y(h) = h**3 - 6*h**2 + 3*h + 1. Is y(w) composite? False Suppose 3*u + 4 - 7 = 0. Let z = u - -3. Let d(j) = -j**2 + 8*j - 6. Is d(z) a composite number? True Let l = -215 - -687. Suppose -6*i + l = -2*i. Is i prime? False Let d = 74 + -42. Let x be (1/(-2))/(2/d). Is 1028/(-6)*12/x a composite number? False Suppose 0 = 9*o - 239 + 50. Is o a composite number? True Let n = -808 - -1715. Is n a prime number? True Let x be 1081 + 5/(5/3). Suppose 2*j - x + 290 = 0. Is j prime? True Let s(t) = t**2 + 2*t - 1. Let q be s(-2). Is 0*q/(-2) - -21 composite? True Let y(j) = 5*j**2 - 5*j - 7. Is y(7) a composite number? True Let w = -37 + 212. Let s = 324 - w. Is s composite? False Let s(m) = m**3 + 12*m**2 - 1. Suppose -k = 2*k - 6. Let x be k/4*12*-1. Is s(x) a composite number? True Let i be (-2)/(3/((-9)/(-3))). Let c(v) = -5*v**3 + 2*v**2 - 1. Is c(i) prime? True Suppose -4*v = -v - a - 3242, -3*a = 3*v - 3246. Is v composite? True Let i be 2/((-2)/4*-4). Let b be 0 + (i + 2 - 3). Suppose -2*f + b*f + 134 = 0. Is f a prime number? True Let f = 116 + -286. Let s = -290 - f. Let l = s - -171. Is l prime? False Let d be 2/((-9)/7 + 1). Let z be 4/14 - (-2)/d. Suppose -2*y = -z*y - 102. Is y a prime number? False Suppose -2*l - 797 = -2707. Is l a prime number? False Let y(b) be the first derivative of b**4/4 + 13*b**3/3 + 7*b**2/2 - 7*b - 6. Is y(-12) prime? True Suppose 0 = 3*z + 2*y - 2999, 0*z + 4*z - 3*y = 3976. Is z a prime number? True Let v = -323 + 1188. Is v a composite number? True Suppose -2*y + 4*b - 68 = -0*y, 2*b - 138 = 5*y. Let j = -16 - y. Is j composite? True Let x = -1002 + -174. Let s = -690 - x. Is (-4)/(-14) + s/14 a composite number? True Let k = -1721 - -2412. Is k a prime number? True Let u = 26 + -24. Suppose -277 = -u*d - 2*m + 225, -5*d + m + 1255 = 0. Is d a prime number? True Let v(z) be the third derivative of 3*z**4/8 - 7*z**3/6 + z**2. Let o = -13 + 18. Is v(o) prime? False Suppose -2*x - q = -7*x + 9, -3*q - 16 = -4*x. Let m(l) = -3*l + 5*l - x + 2. Is m(3) a prime number? True Let a(b) = -b**3 - 2 - 7*b - 4*b**2 + 4 + 5*b. Is a(-5) a composite number? False Let p(j) = j. Let l be p(1). Suppose 0*b = -b + 19. Is 3 + -3 + l*b a composite number? False Let p(o) = -7*o**2 - 11*o + 6. Let m be p(-10). Let x = -249 - m. Is x a prime number
{ "pile_set_name": "DM Mathematics" }
to the nearest ten thousand? 50000 Let t = 22589729104 + -22589728117.9977571. Let o = -943.002256 + t. Let x = 43 - o. Round x to 6 decimal places. 0.000013 Let s = 4157 - 4156.99999392. Round s to six dps. 0.000006 Let u be (-2761648)/(-56)*-4 + 12/21. Round u to the nearest ten thousand. -200000 Let r = 25001 - 24886.889. Let m = 0.111 - r. Let i = 100.3 + m. What is i rounded to 0 dps? -14 Let d = -75201 - -75201.00000051703. Round d to 7 dps. 0.0000005 Let f(i) = 1212501*i**2 - 9*i + 20. Let g = -66 - -98. Let y be 16/g + 0 + 14/4. Let z be f(y). Round z to the nearest 1000000. 19000000 Let o = 15150622 + -15150625.99999928. Let b = 4.1 - 0.1. Let r = o + b. What is r rounded to 7 decimal places? 0.0000007 Let g = 14866 - 12081.3. Let o = -2615 + g. Round o to the nearest 10. 170 Let r = -276769.4022398 + 276295.4022. Let q = r + 474. What is q rounded to five dps? -0.00004 Let b = 434755 + -181717. Let d(f) = -459*f**3 + 11*f**2 - 10*f + 6. Let m be d(7). Let n = m - b. What is n rounded to the nearest 10000? -410000 Let s be ((-4923)/(-27))/((1 + -3)/2166). Let u = -133167 - s. What is u rounded to the nearest 1000? 64000 Let t = -24086 - -24087.2869. Round t to one decimal place. 1.3 Let p(m) = -18*m**3 + 24*m**2 - 23*m + 13. Let o be p(17). Let b = o - -169747. Suppose -1171 = 17*j - b. Round j to the nearest one thousand. 5000 Let z = 0.032 + 9.218. Let i = -1127 - -1135. Let q = i - z. What is q rounded to 1 decimal place? -1.3 Let r = -6782 + 6831.57. Round r to 0 decimal places. 50 Let z = -1945 + 2773. Let b = 490 - z. What is b rounded to the nearest 100? -300 Let q = 29.3 + -29.719. Let b = q + 0.419529. What is b rounded to five decimal places? 0.00053 Suppose -1106967713 = -26*g + 687929622 + 516450665. What is g rounded to the nearest 1000000? 89000000 Let i = 304 + -304.005696. Round i to 4 dps. -0.0057 Let o = -1.497 - -38.117. Let d = -36 + o. Let j = d - -2.98. Round j to 0 decimal places. 4 Let t = 305.899 - 336.7. Let a = t - -0.521. Round a to 0 decimal places. -30 Let d(z) be the third derivative of -24049*z**5/30 - 7*z**4/8 - 35*z**3/6 + z**2. Let r = 4615 + -4632. Let x be d(r). Round x to the nearest 1000000. -14000000 Let g = 17681.3 + -15469. What is g rounded to the nearest 100? 2200 Let p = -943 - -941.709. Let x = p + 1.54. Let s = -0.249338 + x. Round s to 5 dps. -0.00034 Let z = 5425.69 + -4955.2. Let m = z - 468. What is m rounded to the nearest integer? 2 Let f = 118.81 - -2.19. Let j = -121.000018 + f. What is j rounded to 6 decimal places? -0.000018 Let z = -823 - -823.0371. Let l = z - -6.3829. Round l to zero decimal places. 6 Suppose -14684337 = -29*d + 31654560. Let u = d + -2995893. What is u rounded to the nearest one hundred thousand? -1400000 Let i = -72 + 68. Let u be (-870)/4 + (-2)/i*1. Let w = u - -1167. Round w to the nearest 100. 1000 Let t(o) = -115*o + 5 + 214*o + 192*o. Let y be t(1). What is y rounded to the nearest ten? 300 Let i(z) = 165*z**3 + z**2 + 2*z + 2. Let t be i(-1). Let r be -2*(-3 + t/8). Suppose -4*v + f = -0*v + r, 5*f = 2*v + 1. What is v rounded to the nearest 10? -10 Let w = 24.449855289 + -0.449855169. Let z = -23.6 + -0.4. Let o = z + w. What is o rounded to seven decimal places? 0.0000001 Let u = 7.49 - 7.490007977. Round u to 6 dps. -0.000008 Let v(j) = -j**2 - 19*j. Let g be v(-19). Suppose g*u + 7*u = 0. Suppose 3*s + 0*s - 741 = u. Round s to the nearest 10. 250 Let u = 406 - 194. Let k = u + -211.9522. Round k to two decimal places. 0.05 Let p = -1314 - -1314.02862. What is p rounded to two dps? 0.03 Suppose -d + 4*f = 2564395 + 16613, -5*f = -2*d - 5162010. What is d rounded to the nearest one hundred thousand? -2600000 Let n = -1.257 - -61.557. Let g = 62 - n. Let w = 1.699889 - g. Round w to five dps. -0.00011 Let f = -9591 - -8687.3. Round f to the nearest 100. -900 Let k(h) be the second derivative of 83*h**4/4 - 2*h**3/3 + 5*h**2/2 - 92*h. Let l be k(5). Round l to the nearest one thousand. 6000 Let d = -0.073184 - 0.174248. Round d to three dps. -0.247 Let p be -6 - 344/(-56) - 27/(-7). Let h be (12/(-8))/((-6)/p). Let u be 68 - (9/(-5) - h/5). What is u rounded to the nearest one hundred? 100 Let c = -0.06101 + -740.33899. What is c rounded to the nearest one hundred? -700 Let z = 470547.0900428 - 470547. Let j = z + -0.09. What is j rounded to 5 decimal places? 0.00004 Let c = 272.86 - 1.86. Let s = -156.131 + -115.103. Let p = s + c. What is p rounded to 2 dps? -0.23 Let i = 1.04 - 1.135. Let r = i + 0.675. Let c = 0.5800086 - r. What is c rounded to six dps? 0.000009 Let k = 825.9071 + -831.88. What is k rounded to 2 dps? -5.97 Let r = 79631353342 + -79631755902.60061. Let u = -402563 - r. Let z = -2.4 - u. Round z to three dps. -0.001 Let i(z) = z**2 - 11*z + 16. Let f(j) = j - 1. Let r(d) = 5*f(d) + i(d). Let s be r(3). Let w be (-2 + 6 + 115)*s/(-2). Round w to the nearest 10. -120 Suppose 0 = -5*p - 50 + 25. Let s(j) = -692*j + 70. Let k be s(p). Round k to the nearest one hundred. 3500 Let r = -261.0983 - -260. Round r to two decimal places. -1.1 Let z = 130 - 126. Suppose p = z*h + 69310 - 9349341, -4*p = -2*h + 37120068. Let q be p/(-20) + (-3)/4. Round q to the nearest 100000. 500000 Let i = 1664.5999061752 + 27.4001161548. Let x = -1692 + i. Round x to 6 decimal places. 0.000022 Let s = 47381572.901570117 - -5.828429883. Let b = s + -47381787.7299853. Let j = b - -209. What is j rounded to 6 decimal places? 0.000015 Let r = -0.044 - -0.1. Let q = r - 0.286. Let j = q + 0.31. Round j to 1 decimal place. 0.1 Let a = 2509 + -2508.996824. What is a rounded to 3 dps? 0.003 Suppose 12*z - 48 = 9*z. Let u = z + -12. Suppose -3*f = u*g + 4, 5*f + 3*g = -0*g - 25. What is f rounded to zero decimal places? -8 Let r = -296 - -396. Let n = -6420002313 - -6420002213.00000086. Let a = n + r. Round a to seven decimal places. 0.0000009 Let v = 735.91013 - 735.9. What is v rounded to 3 decimal places? 0.01 Let f = -0.05397 - -0.149288. What is f rounded to 3 dps? 0.095 Let y = -16660 - -17040.68. Let x = y + -382. Round x to 1 decimal place. -1.3 Let m = 682559218 - 682559198.58502532. Let f = -11.5850258 - m. Let p = -31 - f. What is p rounded to 7 decimal places? 0.0000005 Let o = -25790 + 25869.065. Let h = 79 - o. Let k = -0.064 + h. Round k to 2 decimal places. -0.13 Let v = 3589.0004424 + -3589. Round v to 5 decimal places. 0.00044 Suppose 8*q = 11*q - 2567970. Suppose -6224010 = -4*s + q. Round s to the nearest one hundred thousand. 1800000 Let w be (3 - (-10)/5) + -1602305. What is w rounded to the nearest ten thousand? -1600000 Let z = -25 - -30.4. Let t = 180.9 - z. What is t rounded to the nearest ten? 180 Suppose -61*s + 1620 = -16*s. Suppose -s*c + 591715283 = 196435283. What is c rounded to the nearest 1000000? 11000000 Let w(g) = g**3 - 3*g**2 + 3*g - 14. Let q be w(4). Suppose q*f + 4*f = -134820. What is f rounded to the nearest one hundred? -7500 Let y = -0.0806 + -2413.5194. What is y rounded to the nearest 100? -2400 Let g = 247181323373838.3100153 - 247181347380566. Let v = 24006898.69 + g. Let s = -171 + v. Round s to 6 dps. 0.000015 Let o = -134 - -511. Let l = 377.001768 - o. What is l rounded to 4 decimal places? 0.0018 Suppose -3*f - 198 = -9*f. Suppose -f*o + 85*o = 561600. What is o rounded to the nearest ten thousand? 10000 Let d = -64 - -60.3. Let s = 2.992 + d. What is s rounded to 1 decimal place? -0.7 Let a = 2913 - 2683.1. Let s = 74.4 - a. Round s to the nearest 10. -160 Let p = 0.20385578 - 0.20369. What is p rounded to 6 decimal places? 0.000166 Let l = 0.1854 + 0.0151. Let y = l + -0.2007738. Round y to five decimal places. -0.00027 Let a be -3 - 536098 - (0 + -1). What is a rounded to the nearest 100000? -500000 Let u = -16855.99986841 - -16856. What is u rounded to 5 decimal places? 0.00013 Let g = 483.003086 - 483. What is g rounded to four dps? 0.0031 Let q = 10125444 - -31046432. Suppose -q + 7371876 = 2*z. Round z to the nearest 1000000. -17000000 Let z = 102.14 - 92.894. Round z to 1 decimal place. 9.2 Let p = 35553 - 35552.78829. Round p to three dps. 0.212 Let j = 0.0381 + 49.0619. Let o = -49.0998344 + j. Round o to six decimal places. 0.000166 Let x = -0.3648 + 0.263. Let t = 133.9982 - x. What is t roun
{ "pile_set_name": "DM Mathematics" }
ed by -11190389? 3 1 divided by 22170470 1/22170470 166516288 divided by 4 41629072 What is -2078 divided by -45297? 2078/45297 Divide 0 by 33242664. 0 Calculate 1169 divided by 18600. 1169/18600 -34 divided by 184164 -17/92082 Calculate -47762 divided by 3838. -23881/1919 Divide -61947743 by -433201. 143 What is -139 divided by 4742545? -139/4742545 What is 1620166 divided by 20? 810083/10 What is 23292 divided by -45? -2588/5 What is -5 divided by 445303772? -5/445303772 -781279614 divided by 9 -86808846 Calculate 73128335 divided by -5. -14625667 Divide -2923297956 by -4. 730824489 22256892 divided by -1059852 -21 Divide 2 by 4041072. 1/2020536 Divide 144300 by -3. -48100 What is -1 divided by -71370397? 1/71370397 -97736240 divided by -6981160 14 Calculate -134131 divided by -1062. 134131/1062 Calculate 5419827 divided by 21. 258087 -5948750 divided by 4 -2974375/2 Divide 212929556 by 5. 212929556/5 1 divided by 9450335 1/9450335 216 divided by 7011 24/779 Divide 359 by 559733. 359/559733 Divide 11692801 by 1. 11692801 Divide -1218168 by 29004. -42 -331 divided by 222656 -331/222656 Calculate -116600944 divided by 58300472. -2 Divide 29127520 by -1456376. -20 -37 divided by 3084151 -37/3084151 What is -5796900 divided by -289845? 20 What is 2 divided by 5904812? 1/2952406 Calculate -118064 divided by 6441. -118064/6441 Calculate 77883096 divided by 1268. 61422 Calculate -51112140 divided by -2555607. 20 38647 divided by 2816 38647/2816 What is 325724930 divided by 5? 65144986 Calculate 11633048 divided by -344. -33817 Divide 110412400 by 25. 4416496 Divide 337377132 by 9. 37486348 Calculate 81021989 divided by 3. 81021989/3 What is -39282478 divided by -141814? 277 Calculate -4012680 divided by 23604. -170 Calculate -5 divided by -123494363. 5/123494363 Calculate -34790 divided by 92. -17395/46 Divide -14367380 by 340. -42257 What is 6537552 divided by 3? 2179184 What is -6648160 divided by 35936? -185 What is 0 divided by 22953644? 0 Calculate -74051895 divided by 5. -14810379 What is 64081758 divided by 39? 1643122 What is 5 divided by -2021657? -5/2021657 Divide -465 by 3497. -465/3497 Calculate 161182670 divided by -5. -32236534 6117527 divided by -1 -6117527 Divide -228444902 by -114222451. 2 -13991208 divided by -791 17688 -16035426 divided by -485922 33 Calculate -257056365 divided by -75895. 3387 Calculate -406752 divided by -33896. 12 Divide -2 by 33808807. -2/33808807 Divide -130176 by 224. -4068/7 2336616156 divided by -4 -584154039 What is -32697630 divided by 1505? -21726 Divide -23 by -366048. 23/366048 4 divided by -458282 -2/229141 What is 14652414 divided by -3942? -3717 Calculate -170 divided by -10458. 85/5229 Divide -10223 by -15841. 10223/15841 Divide 8972509 by -690193. -13 What is 6163898 divided by 34? 3081949/17 -2416063062 divided by 6 -402677177 Calculate 11816 divided by 56. 211 What is -330018676 divided by 8049236? -41 Calculate 1 divided by -3855956. -1/3855956 1 divided by -29196720 -1/29196720 Divide 104 by -2714. -52/1357 What is -3651 divided by 6605? -3651/6605 Calculate -66735017 divided by -6. 66735017/6 What is 9 divided by 38135? 9/38135 Calculate -1039895232 divided by 44916. -23152 What is 539760 divided by 177? 179920/59 What is 54060503 divided by -179603? -301 What is -9827172 divided by -9413? 1044 Calculate -24 divided by 56417653. -24/56417653 -34646 divided by 4093 -34646/4093 -479208 divided by -538 239604/269 Divide -9174 by 5785. -9174/5785 Divide 3052998 by -39141. -78 What is 21459860 divided by -6? -10729930/3 Divide 7741787 by 7741787. 1 -182682218 divided by -82774 2207 Divide -385772795 by -77154559. 5 What is 140009445 divided by -27? -5185535 Divide -775 by -16674. 775/16674 Divide -3 by -1582546. 3/1582546 What is -7159 divided by -1275? 7159/1275 Divide -61 by -290991. 61/290991 Divide 68027244 by 134. 507666 Calculate -2086419 divided by -2086419. 1 What is -93 divided by -3808? 93/3808 1680916 divided by 21 1680916/21 28351134 divided by -58698 -483 Calculate -279877554 divided by -9. 31097506 Calculate 969 divided by -1379. -969/1379 -2 divided by 5670988 -1/2835494 Calculate -1552018552 divided by -110858468. 14 What is 169644 divided by -92? -42411/23 -2 divided by -42930291 2/42930291 What is 327 divided by -724381? -327/724381 -132528 divided by -111 44176/37 -504608595 divided by -5 100921719 Calculate 9 divided by 1954192. 9/1954192 Divide -16974300 by -226324. 75 What is 55 divided by -10587? -55/10587 Divide -5 by -2746561. 5/2746561 Divide -30905626 by 1. -30905626 0 divided by -367576227 0 68283339 divided by -23817 -2867 1119107 divided by 1 1119107 Calculate 246342841 divided by -5. -246342841/5 Calculate 755745683 divided by 301. 2510783 Divide 86906040 by -17628. -4930 4 divided by 41650999 4/41650999 What is -1494 divided by 452? -747/226 What is -144575 divided by -72? 144575/72 Calculate -31978054 divided by 1881062. -17 -74435314 divided by 3236318 -23 77172452 divided by 1134889 68 1418045 divided by -5 -283609 Calculate -19603832 divided by -2. 9801916 Divide 2852930 by 92030. 31 What is 2999246 divided by -5? -2999246/5 Calculate -784109328 divided by 6. -130684888 Calculate -2 divided by 6774421. -2/6774421 905653 divided by 1 905653 81135 divided by -1 -81135 -33 divided by -320009 33/320009 Calculate -15879329 divided by -479. 33151 Divide 12814178 by 12814178. 1 Divide -12093 by 19617. -4031/6539 What is 4896360 divided by -134? -36540 Calculate 5345 divided by 2527. 5345/2527 Divide -84046 by 1. -84046 What is 15219184 divided by -56788? -268 Calculate -3 divided by -24472939. 3/24472939 What is 1 divided by -14982167? -1/14982167 Calculate 1 divided by -59004. -1/59004 Calculate -4372727 divided by 237. -4372727/237 What is -309504910 divided by -2? 154752455 Divide 2008 by 3240. 251/405 -2760693 divided by -141 920231/47 -95312 divided by -28 3404 What is 1620039 divided by 8? 1620039/8 What is 5 divided by 3809967? 5/3809967 Divide 205033920 by 4271540. 48 Divide 15098316 by 56337. 268 What is -758 divided by 1353? -758/1353 Calculate 29426130 divided by -3. -9808710 -800 divided by 75506 -400/37753 What is 2 divided by -87973650? -1/43986825 Calculate -1073235 divided by 179. -1073235/179 58476690 divided by 19492230 3 Calculate -6870587 divided by 65. -6870587/65 1411 divided by -337959 -1411/337959 What is 799547980 divided by -5? -159909596 -5785101 divided by 21 -275481 -18210 divided by -263 18210/263 Calculate -34957260 divided by 582621. -60 -1 divided by -2763520 1/2763520 Calculate 79 divided by 254566. 79/254566 Calculate -12669 divided by -128. 12669/128 Divide -4227314 by 182. -23227 Calculate 283 divided by 498476. 283/498476 -383054910 divided by 30 -12768497 Calculate 21707892 divided by -25812. -841 -139243809 divided by 46414603 -3 Divide -53283587 by -3. 53283587/3 Divide 173681376 by 6. 28946896 15064256 divided by 4 3766064 Divide -105911352 by 2941982. -36 Divide 16686730 by 2. 8343365 Calculate 0 divided by -8096635. 0 Calculate 13958766 divided by -309. -45174 2085827 divided by 148 2085827/148 Divide 7648950 by -2549650. -3 Divide -260857818 by -389922. 669 Calculate 138556605 divided by -33. -4198685 Calculate -2598720 divided by 129936. -20 -37 divided by -271845 37/271845 27296076 divided by -156874 -174 What is 5 divided by 36143741? 5/36143741 What is -67 divided by 2697? -67/2697 Calculate -10696440 divided by 2674110. -4 11620296 divided by 46296 251 3 divided by -1952821 -3/1952821 118 divided by 531683 118/531683 Calculate 455920765 divided by 91184153. 5 Divide -282775840 by 8. -35346980 Calculate 14614292 divided by 92. 158851 What is -46711852 divided by -44? 1061633 Calculate 3664402 divided by 11138. 329 -14729607 divided by -3 4909869 120526362 divided by -13391818 -9 Divide 843626 by -1. -843626 2837002 divided by -405286 -7 Divide 5188693 by -146. -5188693/146 What is -25 divided by 425? -1/17 What is -187608194 divided by -46? 4078439 Divide -1225061849 by -11. 111369259 Calculate -5 divided by 6131502. -5/6131502 14120 divided by 292 3530/73 What is 69319 divided by -109? -69319/109 What is -1130057 divided by -7? 1130057/7 158 divided by 4556193 158/4556193 Calculate -4 divided by -33286493. 4/3328
{ "pile_set_name": "DM Mathematics" }
2*w) - 5*w**2 + 3*w**2 + 4*w**2 as i + u*w**2 + z*w and give u. 174 Rearrange 15922*w**2 + 1 - 15700*w**2 - 2*w - 1 to l*w**2 + r*w + m and give r. -2 Rearrange -2*p**3 - 1 - 5 + 64*p**2 + 3*p**3 + 12 to the form n*p**3 + j*p + o + w*p**2 and give w. 64 Express 4*g - 129171*g**2 + 288*g**3 + 129171*g**2 in the form y*g**2 + l*g + d + u*g**3 and give l. 4 Rearrange (2*t + 38*t - 2*t)*(3*t - 4*t + 2*t)*(0*t - 4*t - 10*t) to the form w*t + b*t**2 + i*t**3 + u and give i. -532 Express (6 - 1 - 3)*(0 + 2 + 14)*(0*i - 4*i - i) - 8 + 10*i + 8 in the form n + z*i and give z. -150 Rearrange 4 + 21*b - 5 + 0 + 2 + 3*b**3 - 3*b to the form p + x*b**3 + j*b**2 + y*b and give y. 18 Express -u**3 - 3*u**4 + 2*u**2 + 7*u**2 - 12*u**2 + u in the form n*u**3 + q*u**2 + y*u + a*u**4 + v and give y. 1 Express 8*b - 17*b + 6*b + 12*b + 19*b + 3 in the form r + o*b and give o. 28 Express -436*h + 469*h + 2*h**2 + 5*h**2 as p*h**2 + l + t*h and give p. 7 Express -658*k - 2*k**4 - k**2 - 68*k**3 + 658*k as a*k**4 + r*k + j*k**2 + y + t*k**3 and give j. -1 Rearrange 2*p + 74 + 70 + p**2 - 268 + 82 to f*p + m + c*p**2 and give f. 2 Rearrange (202 + 65 + 139)*(-2*t - 3*t + 3*t - 2*t + 4*t - 4*t + (2 - 3 + 3)*(2*t + 4 - 4) - 1 + 1 - t - t - 4*t + 3*t - 2*t + 0 + 0) to q*t + s and give q. -2030 Rearrange -o**4 + o**2 - 1803 + 1801 - 2*o**3 - 120*o + 0*o**2 to s + x*o**3 + y*o**2 + t*o**4 + h*o and give h. -120 Rearrange 252 - 412 + 298 + y to the form a*y + o and give a. 1 Rearrange 6 - 6 + 6*s**4 + (-5*s - 3*s + 5*s)*(-2*s**3 - 2*s**3 + 3*s**3) to h*s + n + w*s**3 + x*s**2 + i*s**4 and give i. 9 Rearrange -4 + 6*o + 2 - 3*o - 1 + o + 1 + (-o + 5*o - 2*o)*(-2 - 1 + 4) + 24*o - 50*o - 172*o to the form v*o + w and give w. -2 Express -882*v - 2*v**2 + 3*v**2 + 19*v**3 + 1 + v**2 + 880*v in the form d*v**3 + c*v + p*v**2 + m and give c. -2 Rearrange 1 - 1 - v + (4*v - v - 2*v)*(0 + 0 - 1) + (-v + 0*v + 0*v)*(2 - 6 + 2) + 0*v - 2*v + 3*v + (2 - 2 + 2*v)*(1 - 18 - 16) to q + p*v and give p. -65 Rearrange -3*x - 4 + 4 + (-1 + 1 + x)*(4 - 5 + 2) - 14 + 14 - 90*x to the form p + b*x and give b. -92 Rearrange (j - 2*j + 3*j)*(9*j - 1199 + 1199 - 2*j**2) + j**3 + 7*j - 2 - 13*j + 10*j to the form z*j**2 + p + x*j**3 + s*j and give x. -3 Rearrange (4 + 7 - 3)*(6*p + 7*p - 16*p) to d + s*p and give s. -24 Express 2 + 12*b**2 + 5*b**4 + 17*b**4 - 11*b**2 in the form g*b**2 + k*b**4 + x + d*b + w*b**3 and give g. 1 Express (4 - 4 - i)*(-3 + 5 + 1) + (-i + 4*i - 5*i)*(-2 + 2 - 1) + (7 + 11 - 3)*(i - 3*i + i) in the form o*i + h and give o. -16 Express -3*u**4 + 17*u**2 - 16*u**2 + 39*u**3 - 5 - 7*u**3 in the form s*u**4 + m + v*u + j*u**2 + y*u**3 and give v. 0 Express (-160 + 14 + 57)*(-1 + 2*o + 1) as n + l*o and give l. -178 Express (-105 + 6 - 10)*(3 - 1 + 6)*(-3*c**2 + 0 + 0) as p*c**2 + u + r*c and give p. 2616 Rearrange (151 - 17*y**2 - 151 + (y - y + y**2)*(0 + 0 - 2))*(y + y + 0*y) + y - 2*y**3 - y to the form c*y**2 + a + t*y + q*y**3 and give q. -40 Rearrange 4*x**2 + 2*x**2 - 2*x**2 + (6*x - 2*x - 3*x)*(22 + 2 - 6)*(2*x + x - 5*x) to u*x + o + g*x**2 and give g. -32 Rearrange (350 + 609 - 531)*(-2*c**3 - 3*c**3 + 4*c**3) to g*c**2 + r + w*c + b*c**3 and give b. -428 Rearrange -1 - c - 20*c + 2 - 14*c to the form z + j*c and give z. 1 Rearrange -p**3 + 16*p**2 - 34*p**2 + 19*p**2 - 2 - 5*p to the form f*p**3 + j + x*p**2 + k*p and give k. -5 Rearrange (-3*j**2 + 3*j**2 - 2*j**2)*(j - j + 2*j) + (-8*j**2 - 11*j**2 + 2*j**2)*(-1 + j + 1) to the form u*j**2 + g*j + a*j**3 + v and give a. -21 Rearrange (3*q + 4 - 4)*(1 - 1 + 2)*(2 + 4 - 1)*(-3 + 3 - q) to t*q**2 + g + l*q and give t. -30 Rearrange (4*n - 4*n - n)*(-3*n + 3*n + 3*n)*(n + 0*n + 9*n) + 6*n**3 + 0*n**3 - 5*n**3 to the form m*n**2 + b*n**3 + w + q*n and give b. -29 Rearrange 0*r + 0*r + r**4 - 3*r**2 + 11*r**3 - 15*r**3 to the form j + i*r + x*r**2 + z*r**4 + k*r**3 and give z. 1 Express -15607*o**4 + 0 - 692*o - o**2 + 2 + 15606*o**4 as d*o**4 + f*o**2 + t*o**3 + m*o + z and give d. -1 Express (50 - 50 - 53*i)*(-6 + 2 - 1 + i) as q + l*i + s*i**2 and give s. -53 Express 7*d**3 + 16*d**3 + 3*d**3 + 3*d**4 - 29*d**3 - 10*d**2 as h + z*d**3 + w*d + c*d**2 + s*d**4 and give w. 0 Express d**3 - 16*d + 31*d - 2*d**2 - 22*d in the form b + u*d**3 + c*d + i*d**2 and give i. -2 Rearrange (-2*j - 2 + 4*j - 3*j)*(-1 - 1 + 4)*(0 - 1 - 5)*(44 + 36 + 18) to h + y*j and give h. 2352 Express -4*m**4 + 91*m**2 - 25*m + 96*m**2 - 185*m**2 as w*m + p*m**2 + l*m**3 + h*m**4 + b and give p. 2 Rearrange 2*l**4 - 2*l**3 + l - l**3 - 58 - l**3 + 59 to the form p + z*l**2 + s*l**3 + v*l**4 + r*l and give v. 2 Rearrange 3 + 1 + 0*x**2 + 42*x + x**3 - 5 + x**2 to u + p*x**2 + v*x + i*x**3 and give p. 1 Express (((3*z - 4*z + 3*z)*(2 - 1 + 1) - z + 2 - 2 - 3*z - 4*z + 5*z + 2*z - 1 + 1)*(3 - 3 - 1) - 6 - 3*z + 0*z + 5*z)*(2 - 2 - 2) as i + s*z and give i. 12 Rearrange 6*s + 17 + 14*s - 3*s**2 - 20*s to a*s + h + i*s**2 and give i. -3 Express (0 + 2 - 4)*(-2548*c - 80 + 41 - 2633*c + 39) in the form d + w*c and give w. 10362 Rearrange 1 - 2 + 38*h**4 + 81*h**2 - 83*h**2 - 5*h + 1 to the form z*h**2 + f*h + a + d*h**3 + l*h**4 and give z. -2 Express (4 - 1 - 2)*(-9*a + 9*a - 5*a**4) - 2*a**4 - 2*a**4 + 5*a**4 + 17*a**2 + 15*a**4 - 17*a**2 as u*a**2 + c + s*a + m*a**3 + i*a**4 and give m. 0 Express 81 - 24 - 29*b - 20 - 30 in the form d + n*b and give d. 7 Express (53031 - 639*j - 53031)*(4 - 6 + 1) as a*j + f and give a. 639 Express 3*w**2 + 7*w**2 + 7*w + 2*w**2 + 5*w**3 - 13*w**2 in the form v + b*w**2 + f*w**3 + p*w and give b. -1 Rearrange -57*y**3 + 1 + 5*y**2 - 5*y**2 + 7*y**3 to the form s*y**3 + w*y + f*y**2 + h and give h. 1 Rearrange (-3*r**2 + 4*r**2 - 3*r**2)*(3*r**2 - 1 + 1)*(195 + 130 - 27) to s + l*r**3 + v*r**2 + u*r + a*r**4 and give a. -1788 Express 939*r**2 - 468*r**2 - 487*r**2 - 2*r**3 in the form n*r**3 + q*r**2 + z*r + d and give n. -2 Rearrange -26 + 0*m**4 + 270*m**3 - 268*m**3 + 2*m**4 to the form p*m**3 + c*m**2 + f*m + d*m**4 + x and give p. 2 Express -31 + 10 + 219*s**2 + 21 as x + z*s**2 + g*s and give z. 219 Rearrange 5 - 5 - 194*f - 618*f to the form x*f + s and give s. 0 Express 368*g + 848*g + 125*g + 986*g in the form n*g + d and give d. 0 Express 6*k**4 - 2*k**2 - 12*k**4 - 134*k + 133*k - 1 in the form x*k**3 + i*k**2 + t*k**4 + n + m*k and give x. 0 Express -9306*f**2 - 2 + 10*f + 9306*f**2 - 2*f**3 - f**4 + 3 as i + g*f**3 + q*f**2 + b*f + l*f**4 and give g. -2 Rearrange (0*x**2 + 4*x**2 - 3*x**2)*((2*x - 3*x - x)*(0 + 0 - 1) + x - 4 - 2 + 8) to the form d*x + u*x**3 + k + v*x**2 and give v. 2 Rearrange -15 + 8 + 94*o + 7 to the form k + i*o and give i. 94 Express -17*m**2 - 8*m**2 + m + 6*m**2 in the form q + y*m + k*m**2 and give y. 1 Express (z**2 + 10*z**2 + 29*z**2)*(-4 + 0 - 5 - 1) in the form m*z**2 + j*z + c and give m. -400 Express 54 - 2*x - 14*x**3 - 23 - 27 as j + a*x**2 + d*x**3 + y*x and give j. 4 Express (-57 + 33 - 141)*(2*n - n**3 - 2*n) as l*n + q*n**3 + d*n**2 + m and give q. 165 Express -12*o - 53*o - 23*o + 9*o**2 - 3*o**2 as k + l*o + g*o**2 and give l. -88 Rearrange (-3*o - 1 + 1)*(-215 + 215 - 154*o) to v + s*o + w*o**2 and give w. 462 Express (-30*p**3 + 5*p**3 + 0*p**3)*(-30 + 30 - 73*p) as a*p**3 + v*p**2 + o*p**4 + f + d*p and give o. 1825 Express -92*m + 97*m + 9 + 2 as u + k*m and give k. 5 Express (3*l + l + 0*l)*(24*l - 6*l + 45*l) as y*l + m*l**2 + c and give y. 0 Express 92*y**2 + 88*y**2 + 202*y**2 as j*y**2 + h*y + n and give j. 382 Express 6 + 2*n - 4 - 3*n + 5*n**4 + 12*n**2 - 4*n**4 - 20*n**2 in the form x*n**2 + q*n**3 + s*n + f*n**4 + c and give s. -1 Rearrange -141*x**3 + 4*x**2 - 180 + 181 - 38*x**3 to b*x**3 + p*x**2 + o*x + u and give u. 1 Rearrange (4*a**3 - 110*a**3 - 36*a**3)*(0*a - 2*a + 0*a) to g + w*a**2 + l*a**3 + k*a**4 + c*a and give k. 284 Rearrange (y - y + 3*y)*(-2*y**2 - 5*y + 5*y)*(4 + 1 - 13)*(-3 + 2 + 3) to the form x*y**2 + t + c*y**3 + z*y and give z. 0 Rearrange 2*q - 5*q**3 - 843*q**2 - 846*q**2 + 10*q**4 + 1691*q**2 to the form l*q + p*q**3 + s + v*q**4 + y*q**2 and give p. -5 Rearrange -352*c + 359*c - 1 - 14 to the form g + t*c and give g. -15 Express (-3 + 4 - 3)*(1 - 1 - y) + 3*y - 6*y + 0*y + 3 - 4 + 3 + 7*y in the form g*y + v and
{ "pile_set_name": "DM Mathematics" }
e Is 67497906719 a prime number? True Is 3160400167 prime? False Is 2716595579 a prime number? False Is 1869870239 a prime number? False Is 29581416971 composite? False Is 3548586793 a prime number? False Is 16962772991 prime? True Is 9600272767 composite? False Is 9762728141 prime? False Is 28991291011 a composite number? False Is 166169627753 a prime number? True Is 723587903 a prime number? False Is 652156369 prime? True Is 151324844123 composite? True Is 27276174139 composite? True Is 960763273 prime? True Is 15977484881 a prime number? True Is 199890563 a prime number? False Is 62161820561 composite? True Is 12250032031 a prime number? True Is 14176081 a prime number? True Is 80104329887 prime? True Is 2838756539 composite? False Is 587084873 a composite number? False Is 272753359 composite? True Is 92255749171 a composite number? True Is 9673743383 prime? True Is 28291338841 a composite number? False Is 232358591 a composite number? True Is 4383403877 composite? False Is 2611479503 a composite number? False Is 386163301 a prime number? True Is 379893817 a composite number? False Is 6822371 a prime number? True Is 13196984807 a prime number? True Is 2656938013 composite? True Is 1778186246 a prime number? False Is 67372753969 prime? True Is 33061761893 a prime number? False Is 2861697071 a composite number? False Is 26869427 a composite number? True Is 667172119 prime? False Is 529925519 a composite number? True Is 5063116021 prime? True Is 182775542761 composite? True Is 636013802687 a prime number? True Is 26752504787 a prime number? True Is 130118951 prime? True Is 27853981751 a composite number? True Is 3773307077 a prime number? False Is 7026744469 a composite number? False Is 430569413 a composite number? True Is 2452634167 a prime number? True Is 1776527233 a prime number? False Is 2102537929 a prime number? False Is 316967789 a prime number? False Is 3189678461 a prime number? False Is 4985950849 prime? 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True Is 15867331811 a prime number? False Is 1149476639 prime? False Is 2626313111 a composite number? False Is 2634938543 a composite number? False Is 2411854781 a prime number? False Is 24330314851 a composite number? True Is 13393126997 a prime number? False Is 89251188409 a composite number? True Is 45299265514 a composite number? True Is 7724742097 prime? True Is 7039175027 composite? False Is 944728867 prime? True Is 169759509995 a prime number? False Is 1454595251 composite? True Is 5151878909 a prime number? True Is 13363337851 composite? True Is 7972191527 a prime number? True Is 675783097 prime? False Is 105905201 a prime number? True Is 1449121829 a prime number? True Is 3127886483 a composite number? False Is 606931558609 a composite number? False Is 24031720303 composite? False Is 243275995211 prime? False Is 92059697791 prime? True Is 509522527 a composite number? False Is 80809387441 a composite number? False Is 8997924179 prime? True Is 667668343 prime? True Is 6645111991 prime? False Is 10507604449 composite? True Is 1581535799 a composite number? True Is 12573828827 prime? False Is 357857287 prime? True Is 1595368169 composite? True Is 10767872873 prime? True Is 2428048795 composite? True Is 19753999747 prime? True Is 513315389 composite? False Is 2553243587 prime? False Is 3124706971 a prime number? False Is 82984417 a prime number? True Is 19832845589 prime? True Is 990181499 a prime number? True Is 15801583807 a prime number? True Is 312538357 a prime number? False Is 31888471721 a composite number? False Is 517993793 a prime number? True Is 3899436421 composite? True Is 712076657 a composite number? False Is 900969898 prime? False Is 1234004983 prime? True Is 762384341 prime? False Is 4730841827 a composite number? False Is 2228384659 a composite number? False Is 945339119 a composite number? False Is 526766497 composite? False Is 19171981189 prime? True Is 1439983729 a composite number? False Is 117319153531 prime? False Is 1374985259 a prime number? False Is 3588641887 a prime number? True Is 9642536301 composite? True Is 111049688697 composite? True Is 1620975697 a composite number? True Is 1754262511 a composite number? True Is 83937625165 a prime number? False Is 7784360313 a composite number? True Is 32571792013 composite? False Is 39702039199 a prime number? True Is 1094989577 prime? False Is 98884801303 composite? False Is 41276776417 prime? True Is 12032616887 prime? True Is 762822031 a composite number? False Is 19803721367 prime? True Is 47758633 a composite number? True Is 12929540441 prime? False Is 463688081 prime? True Is 1656136409 composite? False Is 86035423 composite? False Is 7806428291 composite? True Is 29871119129 a composite number? False Is 12878663527 a prime number? False Is 3989666903 prime? False Is 27709996757 composite? False Is 3777806729 composite? False Is 12068367863 prime? True Is 106107872971 composite? False Is 2876497109 a composite number? False Is 8804491061 a composite number? False Is 72503287 composite? True Is 524888569 a prime number? False Is 170282937083 composite? True Is 47534896543 a composite number? False Is 636274543 prime? False Is 111175199 composite? True Is 14872054853 composite? True Is 36339613519 composite? True Is 909510367 composite? True Is 54355644319 a prime number? False Is 177754117 a composite number? False Is 269729432327 a prime number? True Is 73967483 composite? False Is 11620177391 a prime number? True Is 7812395711 a composite number? True Is 67718455781 composite? False Is 318269013 composite? True Is 6154351267 prime? False Is 24191673521 composite? False Is 1167651229 prime? True Is 441587197 a prime number? False Is 1981336801 prime? True Is 26461148447 composite? False Is 4941376793 prime? False Is 8606401 prime? True Is 671378429 composite? False Is 610488019 prime? False Is 219394817 prime? False Is 376297943 composite? True Is 5532569491 a prime number? False Is 9887253661 a composite number? True Is 6333365683 a composite number? True Is 11585758586 a prime number? False Is 31578309695 a prime number? False Is 1619753659 a prime number? False Is 785378141 composite? False Is 122831618317 a prime number? True Is 39074185463 prime? False Is 3584040143 a composite number? False
{ "pile_set_name": "DM Mathematics" }
227743? 22277430 Calculate the common denominator of -29/322400 and -113/38350. 19021600 What is the lowest common multiple of 9104260 and 990? 81938340 Calculate the smallest common multiple of 1072445 and 2220. 12869340 Calculate the lowest common multiple of 1128 and 3418592. 10255776 What is the smallest common multiple of 235296 and 12212? 16706016 Calculate the common denominator of -83/204410 and 53/8. 817640 Find the common denominator of -52/5133845 and -119/50. 51338450 Calculate the common denominator of 17/43033716 and -71/11736468. 129101148 What is the common denominator of 1/1208 and 127/11495328? 11495328 Calculate the least common multiple of 2167628 and 352566. 58525956 Calculate the lowest common multiple of 387795 and 23343. 12021645 Calculate the lowest common multiple of 2298 and 89516292. 89516292 Calculate the common denominator of 27/634280 and 77/2180. 69136520 What is the common denominator of -95/18872 and -107/86464? 29138368 Find the common denominator of -77/24 and 39/826108. 4956648 Calculate the smallest common multiple of 257040 and 1251936. 106414560 Find the common denominator of 97/3404424 and -67/7659954. 30639816 Calculate the smallest common multiple of 380 and 28537600. 542214400 What is the least common multiple of 10092552 and 11816? 70647864 Calculate the common denominator of 10/33517401 and -95/599864. 268139208 What is the least common multiple of 52651092 and 1421838? 1737486036 Find the common denominator of -37/18 and -91/94275156. 282825468 Calculate the smallest common multiple of 6960 and 4521360. 131119440 What is the common denominator of -13/5640 and -37/67492? 2024760 Calculate the common denominator of -50/1683 and 1/767295. 8440245 What is the common denominator of -61/1456478 and -13/2184717? 4369434 Find the common denominator of -149/18200 and -127/1965600. 1965600 What is the common denominator of -153/1820 and 43/161355? 58733220 Find the common denominator of 0 and 46/12454517. 12454517 Calculate the least common multiple of 1519 and 2768. 4204592 Calculate the common denominator of -49/760572 and -1/1185396. 131578956 What is the lowest common multiple of 29784 and 44238? 3008184 Find the common denominator of 131/409200 and -37/10956. 33963600 What is the lowest common multiple of 851026 and 64438? 24679754 Calculate the smallest common multiple of 299148465 and 518006. 598296930 Calculate the common denominator of 85/4 and 99/1423654. 2847308 What is the least common multiple of 2791590 and 76303460? 228910380 Calculate the lowest common multiple of 67071888 and 36. 67071888 What is the common denominator of 19/61059 and 33/8690731? 26072193 What is the common denominator of 107/131518010 and -3/111284470? 1446698110 What is the smallest common multiple of 43449968 and 54312460? 217249840 Calculate the smallest common multiple of 94944 and 1186800. 2373600 Calculate the lowest common multiple of 3375 and 70510500. 70510500 What is the smallest common multiple of 21830 and 6474778? 32373890 What is the least common multiple of 43300 and 5580? 12080700 Calculate the lowest common multiple of 7858154 and 19848. 94297848 What is the common denominator of -109/425766 and -89/51608? 1703064 Calculate the common denominator of -35/71 and 76/55764891. 55764891 Calculate the lowest common multiple of 160762 and 2331049. 4662098 Find the common denominator of -17/21257838 and 31/12. 42515676 What is the lowest common multiple of 9582 and 213563616? 213563616 What is the lowest common multiple of 28127680 and 4364640? 253149120 What is the common denominator of -61/319440 and 23/10670? 30985680 What is the common denominator of -93/176 and -45/232334696? 464669392 Calculate the smallest common multiple of 46505 and 9230. 1209130 What is the lowest common multiple of 14055 and 4675630? 14026890 Find the common denominator of 79/354 and 1/3447014. 610121478 Calculate the smallest common multiple of 5724036 and 2820. 28620180 Find the common denominator of 73/15180686 and -75/2628458. 743853614 Calculate the smallest common multiple of 10875835 and 901. 576419255 Calculate the common denominator of 61/1020630 and -64/15. 1020630 Calculate the least common multiple of 62246400 and 50. 62246400 What is the common denominator of -49/11103945 and -99/10? 22207890 What is the least common multiple of 224976 and 219417? 150958896 What is the common denominator of -36/20134625 and -8/5? 20134625 Calculate the lowest common multiple of 122715 and 152712. 6872040 What is the lowest common multiple of 6118533 and 11? 67303863 Find the common denominator of 55/42772 and -43/82076. 3036812 What is the common denominator of 32/6093 and 5/5167541? 46507869 Calculate the common denominator of 49/96 and 58/277233. 8871456 Find the common denominator of 65/488432 and -59/14. 488432 What is the lowest common multiple of 14552 and 29448? 53565912 What is the lowest common multiple of 226650 and 317310? 1586550 What is the common denominator of 25/820302 and 67/8232? 160779192 Calculate the common denominator of 37/154194859 and -3/14. 308389718 Find the common denominator of 19/16082 and 117/29920. 1286560 What is the common denominator of 4/111073851 and -74/111073851? 111073851 Calculate the least common multiple of 74571120 and 312. 74571120 Calculate the least common multiple of 15087110 and 3017422. 15087110 What is the least common multiple of 2322285 and 3251199? 16255995 Calculate the common denominator of -89/6604616 and 83/10. 33023080 Calculate the common denominator of 61/45306040 and -127/540072. 407754360 Find the common denominator of -79/2996700 and -113/630. 8990100 Calculate the smallest common multiple of 9408 and 439236. 7027776 Find the common denominator of 23/6015900 and -103/546900. 6015900 Find the common denominator of 49/334688940 and 161/334688940. 334688940 What is the common denominator of 45/1053154 and -57/460? 242225420 Calculate the least common multiple of 59088 and 59531160. 119062320 What is the smallest common multiple of 170934 and 426? 12136314 Calculate the common denominator of 53/24338744 and 101/20. 121693720 Find the common denominator of 79/2430 and 23/4328640. 12985920 Calculate the common denominator of 79/329847 and -57/769643. 2308929 Find the common denominator of 23/10720 and 133/7380. 3955680 What is the least common multiple of 440248 and 2696519? 21572152 Calculate the least common multiple of 6505 and 4119690. 5359716690 Calculate the common denominator of 29/47897 and -52/6370301. 6370301 Find the common denominator of -27/1259962 and -23/343626. 3779886 Calculate the lowest common multiple of 23627952 and 81. 212651568 Calculate the common denominator of 59/78000 and 209/179400. 1794000 Calculate the common denominator of 145/11410392 and 91/240. 114103920 Calculate the least common multiple of 873712 and 290. 4368560 Calculate the smallest common multiple of 81000 and 795825. 31833000 Calculate the common denominator of -101/93100 and 81/7600. 372400 What is the lowest common multiple of 251356 and 12079? 64598492 What is the common denominator of 179/180 and -1/199140? 597420 What is the common denominator of -7/4308298 and -49/19387341? 38774682 Calculate the common denominator of 38/30531 and -28/12777. 130031529 What is the least common multiple of 44 and 9351448? 102865928 Find the common denominator of -17/966 and -53/151455. 2120370 Calculate the common denominator of 127/455840 and 197/69960. 72478560 Calculate the common denominator of 46/155125 and 46/41294275. 206471375 Calculate the lowest common multiple of 96327808 and 145072. 96327808 Calculate the least common multiple of 108636320 and 3016. 108636320 What is the common denominator of 34/4595 and -26/173? 794935 What is the least common multiple of 1274053 and 66250756? 66250756 What is the lowest common multiple of 11845 and 228351? 26260365 What is the lowest common multiple of 16288 and 6509092? 52072736 What is the smallest common multiple of 3111895 and 68461690? 68461690 Calculate the least common multiple of 16338 and 184233. 143333274 Calculate the lowest common multiple of 59280 and 1092. 414960 Find the common denominator of -43/324450 and -111/41200. 2595600 Calculate t
{ "pile_set_name": "DM Mathematics" }
- (3 + (3 - 7))? 1 Suppose -9*k + 110 = k. Suppose k*o - 630 = -3*o. What is the units digit of o? 5 Let z(o) = -4*o + 7 - 4*o - 29 - 9*o. Let p be z(-10). Let r = 210 - p. What is the tens digit of r? 6 Let c(a) = 10*a + 161. What is the hundreds digit of c(10)? 2 Let c = -48 + 47. What is the units digit of 1/(2 + c)*149? 9 Let k = 244 + -144. Suppose -4*b = -k - 52. What is the tens digit of (b/1)/2 + 2? 2 Suppose -a + 0 = -2*w - 21, -2*w - 2*a - 24 = 0. Let n(c) = c**2 + 5*c. Let d be n(w). Let r = d - 39. What is the units digit of r? 7 What is the units digit of (-3)/(1*-3 - (-4582)/1537)? 9 Suppose -51 + 276 = -5*i. Let n be i/6*20/3. Let o = -19 - n. What is the units digit of o? 1 Let z = -13 + 10. Let u be (-1)/((z/159)/1). Suppose 2*g = 5*p - g - u, 12 = 3*g. What is the tens digit of p? 1 What is the tens digit of -6 - (2 - (1069 + (-6 - -7)))? 6 Let p = -662 - -87. Let j be 6*3/(-36)*-4. What is the tens digit of p/(-10) - (-1)/j? 5 Let p(g) = 3*g**2 + 4*g + 1734. What is the thousands digit of p(0)? 1 Let s = -834 - -2696. What is the hundreds digit of s? 8 Let l be 2/(1194/240 - 5). Let p = l + 164. What is the units digit of p? 4 Let c be 4/26 + (-14)/91. Suppose 2*v + 37 = 2*p + v, 3*p - 5*v - 38 = c. What is the tens digit of p? 2 Suppose -67 = -u + 130. Suppose 5 - 64 = i - 5*o, -3*i + 5*o = u. What is the units digit of 3/(9/i)*-1? 3 Suppose 2*w - 160 = -2*h - 3*w, 0 = 4*w - 8. Let m be h/9 - 6/(-9). Suppose 4*t = m*t - 125. What is the units digit of t? 5 Let d = 2405 - 539. What is the hundreds digit of d? 8 Let x(z) = -4*z + 0*z + 6*z + 13 - 3*z. Let g be x(10). Let q(u) = 6*u + 10. What is the units digit of q(g)? 8 Let n(o) = -19*o**3 + 2*o**2 + o + 3. What is the hundreds digit of n(-2)? 1 Let t be ((-94)/(-2) - -4)/((-6)/(-28)). What is the units digit of (-2)/(-14) + t/49? 5 Let f(h) = h + 5. Let w be 4/18 - 6/27. Let t be f(w). Suppose -2*c - t = -43. What is the tens digit of c? 1 Let i(o) = -o**3 - 5*o**2 - 6*o - 1. Suppose 11*u = 7*u - 24. What is the tens digit of i(u)? 7 Suppose 3*x - 262 = -3*z + 1115, 5 = -5*z. What is the hundreds digit of x? 4 What is the hundreds digit of 6/(-63) + (-332526)/(-126)? 6 Let t be (-4)/16 - (-493)/4. Suppose 4*s - t = 97. What is the units digit of s? 5 Let q = -8 - -11. Suppose 0 = q*t + 5*u - 375, 3*t - 606 = -2*t - 2*u. What is the units digit of t? 0 Suppose 5 = -k - 5*x, 5 = -2*k - 5*x - 0*x. Let u(c) = -5*c - 799 + 829 + 0*c + 4*c. What is the tens digit of u(k)? 3 Suppose 0 = -n - 3 + 1. Let x be (165 - 1)*n/(-8). Suppose -c - b + x = b, 205 = 5*c + 2*b. What is the tens digit of c? 4 Suppose 0 = 4*f - f. Suppose 3*q - 6 - 42 = f. Let b = 24 + q. What is the units digit of b? 0 Let j be 4 - (-1)/3*-6. Let k(m) = 0 - j + 61*m**2 + 3 - m. What is the tens digit of k(1)? 6 Suppose -4*v = v. Suppose v = -5*z + 69 + 56. What is the tens digit of z? 2 Let z = -470 + 1505. What is the thousands digit of z? 1 Let c(z) = -z + 8. Let a be c(4). Suppose 0 = a*m - s - 4*s - 470, 0 = -5*m + 3*s + 581. Let y = m - 63. What is the units digit of y? 2 Let w(u) be the first derivative of 3*u**2/2 + 8*u - 1. Let n(q) = 39*q + 203. Let j be n(-5). What is the units digit of w(j)? 2 Suppose -3*d - 21 = -b + 3, 2*d + 5*b = -33. Suppose 0 = 4*h + 20, 2*v - 5*v + 4*h - 4 = 0. Let r = v - d. What is the units digit of r? 1 Let i be (-48)/(-14) + (-15)/35. Suppose -4*o = -i*o. Suppose -5*t + 10*t - 5 = o. What is the units digit of t? 1 Let g(v) = 2*v + 17. Let x be g(17). Suppose -4 = 4*u - 5*u - f, -2*f + 2 = u. Suppose x = -3*a + u*a. What is the units digit of a? 7 Suppose -13*t = -40544 + 5301. What is the thousands digit of t? 2 Suppose r - 2*r - t = -144, r - 140 = -5*t. Let n be r/(-4) - 3/(-12). Let z = -22 - n. What is the tens digit of z? 1 Suppose 19*o - 5636 - 11350 = 0. What is the tens digit of o? 9 Let q be (-1096)/(-5) + (38/10 - 4). Let z = q - 138. What is the tens digit of z? 8 Suppose -325*n = -317*n - 28928. What is the units digit of n? 6 Let h(q) = q**3 + 6*q**2 - 3*q + 5. Let r(m) = m**2 - 6*m - 1. Let i be r(5). What is the tens digit of h(i)? 2 Let p = 274 - 172. Let l(w) = -19*w - 4. Let x be l(3). Let c = p + x. What is the units digit of c? 1 What is the units digit of (-29)/((-87)/10467) - (3 - 1)? 7 Let m(k) = k**3 - 5*k**2 - 4*k + 2. Let r be m(5). Let j = 126 - r. What is the hundreds digit of j? 1 Let x(n) = -9*n - 9*n - 3 + 3*n - 12. What is the tens digit of x(-6)? 7 Let j(o) = o**2 + 6*o - 19. Let g be j(-9). Suppose g*b = 134 + 202. What is the tens digit of b? 4 What is the hundreds digit of -30*24*(-12)/18? 4 Let p = 55 + -43. Suppose g - 51 = -p. What is the tens digit of g? 3 Let i = 3116 + 2476. What is the hundreds digit of i? 5 Let m be (-6)/2 + 1 - -4. Let r be 2*(2 + -1)*m. Suppose -r*k = k + 4*g - 113, 0 = k - g - 19. What is the units digit of k? 1 Let l = 0 + 4. Suppose c = -l*b + 7, -4*b + 5*b = 2*c - 23. Suppose -5*m - c = -6*m. What is the tens digit of m? 1 Let n = 2782 + 383. What is the tens digit of n? 6 Let n(g) = -g**3 - 9*g**2 + 6*g - 27. Let s be n(-10). Suppose 0 = -6*o + s*o - 1540. What is the tens digit of o? 2 Suppose 5*r + 35 = -4*b, 5*b - 3 + 98 = 4*r. Let h = 32 - b. What is the tens digit of h? 4 Suppose -84*x + 86*x = -5*b + 11310, -2*b - 5*x = -4545. What is the tens digit of b? 6 Let u(x) = -x**3 - 16*x**2 + 27*x + 17. Let c be u(-19). Suppose 0 = 5*f - 9 - 16, -4*y + c = -5*f. What is the hundreds digit of y? 1 Suppose 3*c + 13*b - 7071 = 12*b, 5*b - 11785 = -5*c. What is the hundreds digit of c? 3 Suppose 51 = -10*a + 171. What is the units digit of a? 2 What is the hundreds digit of (-6 + (-20268)/6)*(-2)/3? 2 Let s = -40 + 27. Let h be s/((-40)/(-12) + -3). Let j = -28 - h. What is the units digit of j? 1 Let p(c) = -c**2 - 5*c + 4. Let r be p(-5). Suppose 2*u + 2*u + 10 = -k, 0 = 4*u + 20. Suppose 2*d + 2*q + 2*q = 0, 2*q = r*d - k. What is the units digit of d? 2 Let r(d) be the second derivative of -1/6*d**3 + d + 0 + 5/12*d**4 - 1/20*d**5 - 1/2*d**2. What is the tens digit of r(4)? 1 Suppose 106 = 4*p - 14. Let z = p - -2. What is the tens digit of z? 3 Suppose -z - 6*x + 5*x + 440 = 0, -3*z - x + 1324 = 0. What is the tens digit of z? 4 Suppose -5*j + 0*p - 5*p + 85 = 0, -8 = -4*p. Suppose -2*f = -j - 65. What is the units digit of (-716)/(-10) + (-24)/f? 1 Let j be -29*4/(-30) - 16/(-120). Let l(d) = -2*d + 1. Let q be l(2). Let k = j + q. What is the units digit of k? 1 Let n(p) be the third derivative of p**6/120 + p**5/20 - p**3/6 + 5*p**2. Let a be n(-2). What is the units digit of 94/a + 24/36? 2 Let a = -784 - -801. What is the tens digit of a? 1 Let q(k) = -272*k + 19. What is the thousands digit of q(-4)? 1 Suppose -3*c - 451 = -1165. What is the tens digit of c? 3 Let x be (-40)/7 - (-6)/(-21). Let f = x + 12. Let g = -1 + f. What is the units digit of g? 5 Suppose p = 3*o - 111, -2*p + 7*p + 15 = 0. Let h = o - 23. What is the units digit of h? 3 Suppose -5*a + 3*k = 1, 4*k - k = 4*a + 2. Suppose 3*t - 32 = -2*s, 5 + a = -3*t. What is the tens digit of s? 1 What is the units digit of (-1)/10 - (429936/(-160) + -17)? 4 Suppose -23*o + 63788 - 10566 = 0. What is the units digit of o? 4 Let c(l) = l**3 + 11*l**2 + 11*l + 13. Let u be c(-10). Suppose 0 = 4*b, -u*b = -5*y - 5 - 15. Let d(h) = -h - 3. What is the units digit of d(y)? 1 Suppose 3*p - 2 = x, -3*p - 3 + 10 = 4*x. Suppose 0 = -c + x + 28. What is the tens digit of c? 2 Let o(b) = 42*b + 2. Let l be o(9). Suppose -4*z - z = -l. What is the units digit of z? 6 Suppose 6*d - 1358 = -2. What is the hundreds digit of d? 2 Suppose -9*t - 300 = -4*t. Let x = -53 - t. What is the units digit of x? 7 Suppose -4*o + 7734 = w, -3*o + 3456 = 4*w - 2338. What is the units digit of o? 4 Let t(g) = -g + 12. Let y be t(-5). Suppose -20*j = -y*j + 327. Let f = j + 153. What is the units digit of f? 4 Let n = -6077 - -9669. What is the units digit of n? 2 Let j = 213 + 519. What is the tens digit of j? 3 What is the units digit of -8 - -10 - (-164 - -3)? 3 Suppose -32 = 6*m - 158. Let t be m/14 - (-1)/(-2). What is the tens digit of 153/6 + t/(-2)? 2 Let a(l) = l**3 - 19*l**2 - 19*l + 7. Let h be a(20). Let m = -1 + 1. Let j = m + h. What is the units digi
{ "pile_set_name": "DM Mathematics" }
20 Calculate prob of sequence ii when two letters picked without replacement from {b: 2, i: 5, l: 3}. 2/9 Two letters picked without replacement from yssyysyyysysysyysss. Give prob of sequence ys. 5/19 Calculate prob of sequence jj when two letters picked without replacement from ljlzzlzuzjzuzzzzjujz. 3/95 Four letters picked without replacement from ttftwtftffttffwftf. What is prob of sequence twwf? 4/2295 Calculate prob of sequence qgs when three letters picked without replacement from {s: 4, q: 3, e: 3, g: 1}. 2/165 Calculate prob of sequence mb when two letters picked without replacement from bmd. 1/6 Three letters picked without replacement from {g: 1, r: 1, w: 1, k: 1, q: 3}. What is prob of sequence grq? 1/70 Two letters picked without replacement from kkkeuteeeueeeeukku. What is prob of sequence kt? 5/306 Three letters picked without replacement from {e: 15, k: 4}. Give prob of sequence kek. 10/323 Three letters picked without replacement from {z: 4, i: 6, q: 4}. What is prob of sequence qqz? 2/91 Three letters picked without replacement from {m: 2, n: 1, h: 2, i: 4, j: 1, k: 5}. What is prob of sequence mkk? 4/273 Two letters picked without replacement from {h: 1, f: 2, b: 1, e: 2}. Give prob of sequence bf. 1/15 Two letters picked without replacement from {g: 3, w: 2}. What is prob of sequence wg? 3/10 Two letters picked without replacement from bbyibbybywyyyibbbb. Give prob of sequence ib. 1/17 Calculate prob of sequence fl when two letters picked without replacement from {f: 2, l: 8}. 8/45 Calculate prob of sequence aa when two letters picked without replacement from {e: 1, a: 3}. 1/2 Two letters picked without replacement from ogovhvs. Give prob of sequence os. 1/21 Three letters picked without replacement from {i: 1, c: 1, o: 1, e: 1, d: 3}. What is prob of sequence ido? 1/70 Calculate prob of sequence pv when two letters picked without replacement from mmrmvrrpvmmv. 1/44 Four letters picked without replacement from oomxvoomom. Give prob of sequence mxmo. 1/168 Calculate prob of sequence ddd when three letters picked without replacement from ddggddgdgddgg. 35/286 Two letters picked without replacement from {o: 1, l: 2, y: 4, j: 1}. What is prob of sequence yy? 3/14 What is prob of sequence gsg when three letters picked without replacement from {s: 13, g: 5}? 65/1224 Three letters picked without replacement from {g: 2, y: 3}. What is prob of sequence ygy? 1/5 Two letters picked without replacement from {p: 1, r: 3, l: 1, j: 2}. What is prob of sequence jl? 1/21 Four letters picked without replacement from {c: 2, f: 11}. Give prob of sequence cfff. 3/26 Two letters picked without replacement from {g: 7, c: 5, p: 1}. What is prob of sequence gg? 7/26 Calculate prob of sequence svzs when four letters picked without replacement from zvssv. 1/30 Two letters picked without replacement from riridiriiinnrrii. What is prob of sequence di? 1/30 Calculate prob of sequence mlml when four letters picked without replacement from mlmmmmmlmmlmmm. 5/182 Three letters picked without replacement from {o: 8, s: 4, i: 4, e: 3}. What is prob of sequence oss? 16/969 Calculate prob of sequence cv when two letters picked without replacement from {c: 7, v: 6, y: 2}. 1/5 Three letters picked without replacement from {a: 12, p: 7}. What is prob of sequence pap? 28/323 What is prob of sequence kk when two letters picked without replacement from fppkfpkpit? 1/45 Three letters picked without replacement from jffffffnfffffnfff. Give prob of sequence jjj. 0 What is prob of sequence uyc when three letters picked without replacement from yzyyyyufc? 5/504 What is prob of sequence xxms when four letters picked without replacement from mxsxxmmxxmsmxxmmksk? 49/5168 Two letters picked without replacement from xbbusssaas. Give prob of sequence sx. 2/45 Two letters picked without replacement from {z: 2, h: 7, n: 3, o: 5}. What is prob of sequence ho? 35/272 Four letters picked without replacement from {v: 6, r: 2}. Give prob of sequence vvrv. 1/7 Two letters picked without replacement from ooa. Give prob of sequence oa. 1/3 Two letters picked without replacement from {f: 1, y: 3, j: 6, z: 4}. What is prob of sequence zj? 12/91 Two letters picked without replacement from nnwnnnnnwn. Give prob of sequence nw. 8/45 Two letters picked without replacement from {t: 10, h: 4, e: 1, s: 2}. What is prob of sequence se? 1/136 Calculate prob of sequence ysyy when four letters picked without replacement from eseysyey. 1/140 Calculate prob of sequence op when two letters picked without replacement from {p: 2, j: 1, o: 2}. 1/5 What is prob of sequence qqy when three letters picked without replacement from {w: 1, y: 4, q: 2}? 4/105 Two letters picked without replacement from ykyyykyy. What is prob of sequence yy? 15/28 What is prob of sequence sc when two letters picked without replacement from pcsccccscccsccpscp? 22/153 What is prob of sequence ktjk when four letters picked without replacement from tzkzzztkjjzt? 1/990 What is prob of sequence sww when three letters picked without replacement from sdwdw? 1/30 Three letters picked without replacement from nwnnwnnnwwnnwnwnwnww. What is prob of sequence nwn? 11/76 Two letters picked without replacement from {p: 5, f: 7}. What is prob of sequence pp? 5/33 Three letters picked without replacement from {n: 10, m: 4}. What is prob of sequence mmm? 1/91 Four letters picked without replacement from {i: 11, k: 9}. What is prob of sequence kiki? 22/323 Three letters picked without replacement from tyxtx. What is prob of sequence xtt? 1/15 What is prob of sequence aa when two letters picked without replacement from ssaasasaaasssssuuaa? 28/171 What is prob of sequence ahho when four letters picked without replacement from {o: 1, h: 2, a: 1, w: 4}? 1/840 Two letters picked without replacement from pppppppynfppeppyep. What is prob of sequence fy? 1/153 Two letters picked without replacement from {j: 5, o: 8}. Give prob of sequence oo. 14/39 Two letters picked without replacement from ddaddtdtdd. What is prob of sequence ad? 7/90 What is prob of sequence ruu when three letters picked without replacement from yuyyyyyyuyrr? 1/330 What is prob of sequence smsm when four letters picked without replacement from msmsssssssms? 2/55 Two letters picked without replacement from {f: 1, v: 1, j: 1, t: 2, i: 1, h: 1}. What is prob of sequence ti? 1/21 Two letters picked without replacement from {c: 1, r: 1, w: 4, h: 1, f: 4}. Give prob of sequence fr. 2/55 Three letters picked without replacement from {r: 1, d: 1, o: 3, f: 5, y: 3, a: 1}. Give prob of sequence rao. 1/728 Two letters picked without replacement from {r: 4, v: 4, j: 6}. What is prob of sequence vr? 8/91 Two letters picked without replacement from {o: 1, q: 1, d: 2, y: 1, m: 1, a: 1}. Give prob of sequence qm. 1/42 What is prob of sequence xvx when three letters picked without replacement from vvvxvvxxvxxxvx? 7/52 What is prob of sequence qg when two letters picked without replacement from {p: 1, g: 1, f: 1, q: 7, v: 3}? 7/156 What is prob of sequence gor when three letters picked without replacement from gofuhrg? 1/105 Calculate prob of sequence dt when two letters picked without replacement from {t: 5, d: 7}. 35/132 What is prob of sequence yez when three letters picked without replacement from yez? 1/6 Calculate prob of sequence zz when two letters picked without replacement from {o: 2, z: 7}. 7/12 Calculate prob of sequence uaua when four letters picked without replacement from uaaaaau. 1/21 What is prob of sequence sur when three letters picked without replacement from xuppxcrccxpupxxsppus? 1/1140 Three letters picked without replacement from lqlo. Give prob of sequence oll. 1/12 Calculate prob of sequence ronr when four letters picked without replacement from rborn. 1/60 Calculate prob of sequence os when two letters picked without replacement from {l: 2, w: 10, s: 3, o: 3, e: 1}. 1/38 Two letters picked without replacement from frrfyrrrryfyrrcyyr. What is prob of sequence yr? 5/34 Calculate prob of sequence uouh when four letters picked without replacement from aaauuoazozaaahaohoao. 1/5814 Three letters picked without replacement from kakkaaakaaakakaakaa. What is prob of sequence aka? 154/9
{ "pile_set_name": "DM Mathematics" }
et d(m) = -40*m. Calculate c(d(p)). 12800*p**2 Let w(z) = 69*z - 47*z - 34*z. Let u(i) = 3*i**2 + 25. Give u(w(q)). 432*q**2 + 25 Let k(x) = 4*x**2. Let d be (-2)/(-11) - (-13)/(1716/240). Let o(q) = 17 - 66*q**d - 44 + 27. Calculate o(k(v)). -1056*v**4 Let q(o) = 3462*o**2. Let a(f) = -303893*f**2. Calculate q(a(y)). 319719007764438*y**4 Let j(h) = h. Let t(l) = -2918379*l. Determine j(t(o)). -2918379*o Let j(v) = 15*v**2 + 25*v**2 + 15*v**2 - 82*v**2 + 12*v**2. Let g be (9/3)/3*2. Let a(k) = 4 + g*k**2 - 1 - 3. Determine a(j(i)). 450*i**4 Let b(c) be the second derivative of 2/3*c**3 - 5/2*c**2 - c + 0. Let w(v) = -465 - 451 + 916 - v. Calculate b(w(j)). -4*j - 5 Suppose -8*o + 107 = 155. Let g(v) = 7*v + 12. Let d(k) = -13*k - 22. Let y(b) = o*d(b) - 11*g(b). Let m(a) = -2*a**2. Give m(y(t)). -2*t**2 Let r(k) = 23*k + 1. Let q(y) = -3*y + 2. Let d(v) = -400*v + 275. Let i(s) = 2*d(s) - 275*q(s). Give i(r(o)). 575*o + 25 Let g(v) = -v**2. Let m be (-2)/(-4 + 2)*46/23. Let x(k) = -51*k**2 + 169*k**2 - 47*k**2 - 60*k**m - 104*k**2. Give x(g(b)). -93*b**4 Let w(j) = -188*j. Let o(y) = 7*y. Let q(z) = 60*z. Let l(d) = -36*o(d) + 4*q(d). Determine w(l(t)). 2256*t Let l(p) = -42*p + 2. Let g(n) = -256921*n - 1. Give g(l(a)). 10790682*a - 513843 Let t(h) be the third derivative of -h**5/20 - 36*h**2 + 6*h. Let a(r) = 1461*r. Calculate t(a(l)). -6403563*l**2 Suppose -4*u = -4*w + 16, -5*w - 2*u = -0*w - 20. Let b(x) = 2*x + 6. Let f(h) = 2*h + 8. Let j(l) = w*b(l) - 3*f(l). Let a(d) = 7*d**2. What is j(a(q))? 14*q**2 Let i be (-1)/(1*(-3)/369). Let a = i + -88. Let j(h) = 3*h - 72 + a + 37. Let m(k) = -k. Calculate j(m(g)). -3*g Let g(r) = -301*r. Let o(f) = -151*f**2 - 6. Let t(x) = -127*x**2 - 5. Let b(v) = 5*o(v) - 6*t(v). Give b(g(w)). 634207*w**2 Let p(d) = 730*d**2. Let h(k) = 5*k + 4853. What is h(p(b))? 3650*b**2 + 4853 Let v(z) = -3 + 0 + 3 + 6*z. Let p(x) = -2*x**2 - 14*x - 10. Let a be p(-6). Let h(o) = 201*o - 2*o**2 - 201*o - o**a. Determine v(h(l)). -18*l**2 Let y(g) = g + 51. Let n(t) = -12*t - 561. Let u(x) = 2*n(x) + 22*y(x). Let k(c) = -3*c**2 - 1100*c. Give u(k(b)). 6*b**2 + 2200*b Let z(t) = -t**2. Let s(w) = -134445500*w**2 - 2. Determine s(z(o)). -134445500*o**4 - 2 Let g(h) = -3*h**2. Let l(o) = -11*o + 18*o - 8*o + 4. Suppose 0 = -v + 6*v - 20. Let j(r) = -3*r + 11. Let d(y) = v*j(y) - 11*l(y). Give g(d(b)). -3*b**2 Let s(o) = 24384*o**2. Let n(r) = -47*r**2. Calculate s(n(h)). 53864256*h**4 Let b(j) = -2884*j. Let o(z) = -235*z - 367. What is o(b(q))? 677740*q - 367 Let c(w) = -2*w**2. Let s(u) = 28*u + 646. Let b be s(-23). Suppose 3*j - j - 18 = 0. Let y(i) = 2*i + j*i - 11*i + 17*i**b. Give y(c(d)). 68*d**4 Suppose -4 + 7 = -3*q. Let o be q/4*(-40)/10. Let m(r) = -9 + 6*r + o + 8. Let c(i) = 4*i**2. Calculate c(m(l)). 144*l**2 Let b(k) = -324*k + 43. Let g(r) = 3*r**2. Determine b(g(h)). -972*h**2 + 43 Let v(a) = 29*a**2 + 48. Let h(j) = -265*j**2 + 788*j**2 - 271*j**2 - 254*j**2. Calculate v(h(x)). 116*x**4 + 48 Let j(a) = 2*a**2. Let z(t) = -106560*t - 96. Determine z(j(c)). -213120*c**2 - 96 Let o(v) = -2222*v + 4109*v - 2067*v. Let f(t) = 5*t + t - 4*t. Determine f(o(z)). -360*z Let u(l) = -3*l. Let o(a) be the third derivative of -1663*a**4/12 - 6686*a**2. What is u(o(n))? 9978*n Let b(t) = 18*t**2. Let c(z) be the second derivative of 41*z**4/6 - 877*z. Determine b(c(v)). 121032*v**4 Let h(l) = -3*l + 3. Let g(b) = -14*b + 16. Let c(u) = -3*g(u) + 16*h(u). Let f(t) = 10 + 3 - 13 - 15*t**2. Determine f(c(j)). -540*j**2 Let i(c) = -3*c**2. Let n(q) be the first derivative of 2*q**3/3 + 3*q - 4291. What is i(n(k))? -12*k**4 - 36*k**2 - 27 Let r(i) = 22*i + 5. Let z(f) = 3548*f + 3565*f + f**2 - 7113*f. What is z(r(a))? 484*a**2 + 220*a + 25 Let x(z) = -909*z. Let t(j) = 2*j**2 - 3*j + 18577. What is x(t(b))? -1818*b**2 + 2727*b - 16886493 Let l(x) = 98779 - 98779 - 16*x + 20*x. Let z(w) be the second derivative of -31*w**3/6 + w. What is l(z(u))? -124*u Let j(s) = -s. Let o(u) be the first derivative of -3000*u**2 - 2995. What is j(o(i))? 6000*i Let u(f) = 572*f**2 - 5*f + 9. Let z(h) = 286*h**2 - 2*h + 4. Let d(v) = -2*u(v) + 5*z(v). Let s(i) be the second derivative of -i**3/3 - 35456*i. Give d(s(b)). 1144*b**2 + 2 Let a(p) = 3546*p. Let c(n) = -2096*n**2 - n + 7. Determine a(c(i)). -7432416*i**2 - 3546*i + 24822 Let o(g) = 235*g + 3. Let z(a) = -626*a - 8. Let i(p) = 8*o(p) + 3*z(p). Let m(q) = -3*q - 1258. What is i(m(f))? -6*f - 2516 Let l(u) = u**2. Let f(s) = 13*s - 19. Suppose 0 = -5*a + 3*g + 5, -2*a + g + 6 = 3. Let c(q) = -13*q + 16. Let h(n) = a*f(n) + 5*c(n). What is h(l(w))? -13*w**2 + 4 Let f(b) = -26*b**2. Let t(o) = 59*o - 236*o + 62*o + 64*o + 65*o. Calculate t(f(v)). -364*v**2 Let f(k) be the third derivative of -k**4/24 + 5*k**2. Let r(i) be the second derivative of 119*i**4/12 - 144*i. Give f(r(u)). -119*u**2 Let y(j) be the third derivative of -j**5/4 - 5*j**3/2 + 131*j**2 + 1. Let h(i) = -3*i. Give y(h(v)). -135*v**2 - 15 Suppose l - 534 = -2*w, -13 - 3 = 4*l. Let q(c) = 1 - 263*c + 556*c - w*c. Let n(f) = -f**2. What is q(n(x))? -24*x**2 + 1 Let p(m) = 7*m. Let f(y) = y**2 + 25*y + 3. Let d(h) = 5*h**2 + 94*h + 11. Let k(v) = 3*d(v) - 11*f(v). Determine k(p(j)). 196*j**2 + 49*j Let y(x) = -68*x + 1. Let a(g) = 257*g - 3. Let j(i) = 4*a(i) + 15*y(i). Let s(q) = -4*q. Determine j(s(d)). -32*d + 3 Let m(a) = -3*a**2 + 59. Let j(w) be the second derivative of -w**4/12 - 37*w - 6. Calculate m(j(q)). -3*q**4 + 59 Let w(r) = 9*r**2 - 2. Let d(y) = 1445580*y. Determine d(w(j)). 13010220*j**2 - 2891160 Let n(j) = -j**2. Let r(a) = 3*a - 29117. Determine n(r(s)). -9*s**2 + 174702*s - 847799689 Let q(o) = 4184*o**2 - 2*o + 2. Let z(a) = 341*a**2. Calculate q(z(u)). 486519704*u**4 - 682*u**2 + 2 Let u(j) = 248932*j. Let b(p) = 14*p + 25. Give b(u(t)). 3485048*t + 25 Let u(t) = -9*t**2. Let m = -37358 - -37358. Let w(p) be the second derivative of -1/2*p**3 - 38*p + 0*p**2 + m. Give w(u(a)). 27*a**2 Let z = 590 - 591. Let r(c) = 6*c - 2. Let g(u) = 2*u - 1. Let v(y) = z*r(y) + 2*g(y). Let d(f) = f**2 - 389. Calculate v(d(p)). -2*p**2 + 778 Let o(r) = 18*r + 21*r - 20*r. Let m(q) be the first derivative of q**6/120 + 7*q**3 + 35. Let x(t) be the third derivative of m(t). Give o(x(g)). 57*g**2 Let p(i) = -9396*i. Let m(l) = 4350*l. Give p(m(k)). -40872600*k Let o(r) = -2*r**2 - 39*r. Let j(b) = 59168*b. What is o(j(p))? -7001704448*p**2 - 2307552*p Let x(p) = 1571248*p - 26. Let z(g) = 5*g**2. Determine x(z(u)). 7856240*u**2 - 26 Let y = 909 - 899. Let d(f) = -6*f - y*f - 12*f + 33*f - 9*f. Let b(o) = 12*o. Give b(d(r)). -48*r Let i(r) = -232*r + 95. Let m(a) = -175*a + 73. Let c(o) = 10*i(o) - 13*m(o). Let w(v) = v**2. Determine w(c(y)). 2025*y**2 - 90*y + 1 Let m(o) = 3*o**2. Let k(f) = -8266*f**2 + 6*f + 72. What is k(m(l))? -74394*l**4 + 18*l**2 + 72 Let q(x) = 20*x. Let o(z) = 27*z + 16. Let w(n) = -40*n - 24. Let g(c) = -7*o(c) - 5*w(c). Let h(i) = 98*i + 70. Let m(l) = -35*g(l) + 4*h(l). Give m(q(d)). 140*d Let h = -212 - -234. Let n(g) = 3 + 3*g**2 - h + 22 - 3. Let l(u) be the third derivative of 3*u**4/8 + u**2. Give n(l(b)). 243*b**2 Let j be ((-28)/8)/((-15)/90) + -7. Let z(o) be the first derivative of -13/3*o**3 + 0*o**2 + 0*o + j. Let a(x) = -x. What is a(z(k))? 13*k**2 Let j(x) = 5*x**2 + 60*x - 4. Let t(q) = 16*q + 13. Determine j(t(o)). 1280*o**2 + 3040*o + 1621 Let s(d) = 981*d**2. Let l(f) be the second derivative of f**4/12 - 364*f - 4. Give s(l(i)). 981*i**4 Let q(t) = -9*t + 2. Let c(a) = -285493*a. What is c(q(k))? 2569437*k - 570986 Let y(s) = 2*s**2 + 14. Let m(q) = -12584 + 312*q - 313*q + 12525. Determine m(y(i)). -2*i**2 - 73 Let w(x) = -x**2 - 2*x - 32. Let m(o) = 3*o + 48. Let p(b) = -6*m(b) - 9*w(b). Let y(g) = -226*g. What is p(y(l))? 459684*l**2 Let p(r) = -59036406*r. Let j(t) = -2*t. Calculate p(j(m)). 118072812*m Let c(u) = 460*u. Suppose 49*v = -230 + 1994. Let a(s) = -28*s - v*s + 65*s. Calculate a(c(f)). 460*f Let z(p) = -61*p + 427. Let w be z(7). Let s(f) be the second derivative of 0 - f + 0*f**2 + 1/4*f**4 + w*f**3. Let a(g) = 2*g. Calculate s(a(y)). 12*y**2 Let m(o) = -3 - 5*o + 1 + 0*o. Let u(s) be the first derivative of -3*s**2/2 - 9162. Determine u(m(x)). 1
{ "pile_set_name": "DM Mathematics" }
*b**2. Let v(w) = 4*w. Calculate v(m(l)). 8*l**2 Let p = 5 + -5. Let y(f) = -f + p + 0 + 3*f. Let m(j) = -3*j. Give y(m(d)). -6*d Let j(y) = 57*y - 33. Let v(f) = -7*f + 4. Let z(w) = 4*j(w) + 33*v(w). Let s(u) be the second derivative of -u**3/6 + 6*u. Determine s(z(d)). 3*d Let j(c) = -413*c**2. Let v(p) = 2*p**2. Give v(j(o)). 341138*o**4 Let a(k) = -3*k**2. Suppose 2*b + 10 = 2*r, 3*r = -0*r + b + 17. Let l(m) = 6 - r + m. What is l(a(q))? -3*q**2 Let c(j) = -4*j - 3. Let s(q) = -q**2. What is s(c(l))? -16*l**2 - 24*l - 9 Let t(k) = -4*k**2. Suppose -5*u + 6 + 4 = 0. Let z(h) = h - h + 307*h**u - 306*h**2. Determine z(t(x)). 16*x**4 Let f(v) = -v**2 + 26*v. Let i(z) = 3*z**2. What is i(f(r))? 3*r**4 - 156*r**3 + 2028*r**2 Let q(k) be the third derivative of k**2 + 0*k + 0*k**3 - 1/15*k**5 + 0*k**4 + 0. Let z(t) = t. Calculate z(q(r)). -4*r**2 Let c(i) = 2*i + 32. Let l(n) = 20*n**2. Calculate c(l(k)). 40*k**2 + 32 Let b(d) = -2*d**2 - 5*d**2 + 5*d**2. Let u(z) = 197*z - 6 + 3 - 189*z + 3. Determine b(u(p)). -128*p**2 Let l(q) = -6*q**2 + q**2 + 3*q**2. Let x(c) = -9*c. Determine l(x(v)). -162*v**2 Let u(q) = q. Let z(x) be the third derivative of -x**5/60 - 6*x**2. What is u(z(s))? -s**2 Let a(z) = 235*z. Let f(d) = 6*d. Give f(a(m)). 1410*m Let i(h) = 929*h**2. Let v(l) = -l**2. What is v(i(s))? -863041*s**4 Let z(n) = 2*n**2. Let l(m) be the third derivative of m**4/8 - 5*m**2. What is z(l(a))? 18*a**2 Let k(p) be the third derivative of -p**4/24 + 5*p**2. Let v(j) = -9*j. Give k(v(c)). 9*c Let a(l) = -l**2. Let f(y) be the first derivative of 0*y**2 + 3 - 2/3*y**3 + 0*y. Calculate a(f(o)). -4*o**4 Let p(g) be the second derivative of 0*g**2 + 1/6*g**3 + 4*g + 0. Let o(l) = -l. What is p(o(i))? -i Let r = 16 - 8. Let o(u) = 5*u + 4*u - r*u. Let n(a) be the first derivative of a**2 + 2. Calculate o(n(y)). 2*y Let m(t) = -t + 5. Let d(o) = -3. Suppose -5*s + s = -2*k - 24, -4*s = -k - 22. Let u(l) = s*d(l) + 3*m(l). Let h(f) = -f**2 + 0*f**2 + 2*f**2. Give h(u(v)). 9*v**2 Let f(m) be the third derivative of m**4/12 - m**2. Let b(t) = -5*t**2 + 40*t - 40. Let j(l) = -l + 1. Let y(s) = 3*b(s) + 120*j(s). Determine y(f(h)). -60*h**2 Let g(c) = -c. Let d(x) = 74*x + 3. What is d(g(r))? -74*r + 3 Let h(r) = 7*r. Let y(s) = -94*s**2. What is h(y(t))? -658*t**2 Let l be 2 + -1 + 5 + 0. Suppose 3*j + l = 6*j. Let z(p) = -5*p**2 + 5*p**2 + p**j. Let o(h) = 3*h**2. Calculate z(o(f)). 9*f**4 Let q(x) = -181*x. Let o(t) = 3*t. Give q(o(r)). -543*r Let s(y) = -7*y - 3. Let r(j) = -19*j - 8. Let h(w) = -3*r(w) + 8*s(w). Let a(d) = -20*d**2. What is a(h(o))? -20*o**2 Let c(h) be the second derivative of 3*h + 1/3*h**3 + 0 + 0*h**2. Let s(l) = l**2. Calculate s(c(j)). 4*j**2 Let j(r) = 2*r. Let x(b) = -6. Let u(s) = s + 5. Let q(z) = 6*u(z) + 5*x(z). Determine j(q(p)). 12*p Let x(f) be the first derivative of 0*f + 1 - 5/2*f**2. Let p(h) = -2*h. What is p(x(w))? 10*w Let b be (-6)/(-33) - 84/(-22). Let n(h) = -b*h + 5*h + 0*h. Let c(y) = 0 + 0 + 2*y**2. Give c(n(t)). 2*t**2 Let h(p) = -2*p. Let o(l) be the third derivative of 0 + 0*l + 1/6*l**4 + 0*l**3 - 2*l**2. Determine o(h(a)). -8*a Let y(c) = 2*c**2. Let k(o) = o**2 - 3. Let a(s) = s**2 - 14*s**2 + 11*s**2 + 7. Let u(i) = 3*a(i) + 7*k(i). Give y(u(r)). 2*r**4 Let x(j) = 11*j**2 + 8*j - 8. Let v(i) = 5*i + 5*i + 7*i**2 - 5 - 5*i. Let k(w) = 8*v(w) - 5*x(w). Let h(q) = -4*q**2. Give k(h(b)). 16*b**4 Let j(t) be the second derivative of t**3/6 - 7*t. Let m(y) = 3*y. Determine m(j(r)). 3*r Let a(c) = 36*c**2 - 19*c**2 - 19*c**2. Let k(g) = -4*g**2. Calculate k(a(d)). -16*d**4 Let w(i) = i. Let s(z) be the second derivative of z**7/1260 - z**4/12 + 3*z. Let g(b) be the third derivative of s(b). What is w(g(d))? 2*d**2 Let g(b) = -240*b. Let o(y) = -2*y. Give o(g(x)). 480*x Let m(r) = r. Suppose 0 = 3*s + 2*s + 25, s - 11 = -4*w. Let v(d) = -2*d - w*d + 9*d. Determine m(v(g)). 3*g Let y(n) = -10*n**2. Let u(h) be the second derivative of h**4/12 - 5*h**2/2 + 3*h. Let i(v) be the first derivative of u(v). Calculate i(y(d)). -20*d**2 Let d(s) = 4*s. Let p(z) = 14*z + 3. What is d(p(r))? 56*r + 12 Let f(y) = -9*y. Let j(t) = 60*t**2 + t. Calculate f(j(q)). -540*q**2 - 9*q Let s be 16/6 - (-2)/6. Suppose 9*m - 3*i = 4*m + 233, 4*m - 4*i - 188 = 0. Let l(j) = s*j**2 - 46*j + m*j. Let x(k) = -2*k. Determine x(l(r)). -6*r**2 Let y(j) = -4*j**2. Let t(z) = z**2. Let r(g) = 3*t(g) + y(g). Let m(b) = -17*b. Determine r(m(a)). -289*a**2 Let p = -10 - -31/3. Let j(i) be the second derivative of p*i**3 + 0 - i + 0*i**2. Let k(w) = 2*w. Determine k(j(s)). 4*s Suppose 0 = 2*t - 2*g - 158, -5*t - g = 39 - 416. Let m(b) = -t + b + 76. Let z(a) = a. Determine z(m(k)). k Let p(g) = 23*g**2 + 5. Let a(i) = i**2. What is a(p(s))? 529*s**4 + 230*s**2 + 25 Let o(s) = 64 - 33*s - 31 - 33. Let u(x) = -3*x**2. Determine u(o(r)). -3267*r**2 Let m(n) = 15*n**2. Let y(s) = 18*s**2 + 1. Give y(m(p)). 4050*p**4 + 1 Let b(x) = -x. Let y(l) be the first derivative of l**5/15 + l**2/2 - 1. Let g(z) be the second derivative of y(z). Calculate g(b(i)). 4*i**2 Let h(a) = 3*a**2. Let l(s) = 4 - 1 - 3 + 2*s. Calculate l(h(w)). 6*w**2 Let g(z) = -25*z**2 - 3. Let a(t) = -2*t**2 - 11. Calculate a(g(p)). -1250*p**4 - 300*p**2 - 29 Let o(v) = -v. Let p(u) = u + 0*u + 5 + 6*u. Let k(n) = 3*n + 2. Let z(d) = 5*k(d) - 2*p(d). Let f(q) = -q. Let l(j) = 2*f(j) + 3*z(j). Calculate o(l(w)). -w Let y(p) be the first derivative of -4*p**2 + 1. Let f(u) = 3*u + 5. Let z(t) = 2*t + 3. Let o(m) = 3*f(m) - 5*z(m). What is y(o(w))? 8*w Let d(r) = -14*r**2. Let x(a) = -2*a. Let s(y) = -3*y. Let n(q) = -3*s(q) + 5*x(q). What is d(n(l))? -14*l**2 Let a(u) = 2*u**2. Let n be 48/10 + (-1)/(-5). Suppose n*g + 4*l = -10, 1 = -2*g + 2*l - 3*l. Let h(i) = -g*i - i + 5*i. Give h(a(o)). 4*o**2 Let p(q) = -9*q + 15*q - 4*q. Let d(a) = 3*a - 5. Determine d(p(x)). 6*x - 5 Let y(i) = 9*i. Let d(l) = -22*l**2 + 48*l**2 - 23*l**2. Give d(y(m)). 243*m**2 Let y(q) = -18*q**2. Let n(u) = 34*u**2 - 2. What is y(n(r))? -20808*r**4 + 2448*r**2 - 72 Let k(x) be the first derivative of -2*x**3 - 3. Let d(u) = -u**2. Determine k(d(v)). -6*v**4 Suppose -v - 4*s - 4 = 14, 0 = -3*s - 15. Let a(d) = -3*d**v + 1 - 2*d**2 - 1. Let y(o) = -2*o. Calculate a(y(x)). -20*x**2 Let m(g) = -g + 1799. Let v(c) = c. Give v(m(j)). -j + 1799 Let a(z) = -z**2. Let h = 5 + 4. Suppose -53 = -4*v - h. Let o(r) = 0*r + 2*r - v + 11. What is o(a(i))? -2*i**2 Let s(a) = -4*a**2. Let j(x) = -23*x**2 - 9*x. Let l(n) = -11*n**2 - 4*n. Let f(y) = 4*j(y) - 9*l(y). Calculate f(s(b)). 112*b**4 Let i(m) be the first derivative of m**2 - 6. Let d(n) = 18*n**2. What is i(d(s))? 36*s**2 Let f(l) = -l. Let w(b) = 2*b + 3. Let k(a) = 3*a + 5. Let n(c) = -3*k(c) + 5*w(c). Calculate n(f(j)). -j Let u(w) = -40*w**2. Let y(l) = -6*l. Let v(s) = -s. Let t(p) = -11*v(p) + 2*y(p). Determine t(u(h)). 40*h**2 Let m(y) be the second derivative of -y**4/6 + 11*y. Let c(x) = 9*x. What is m(c(z))? -162*z**2 Let d(z) = -2*z. Let m(s) = -3*s**2 + 4*s - 4. Let c(p) = 5*p**2 - 7*p + 7. Let j(r) = -4*c(r) - 7*m(r). Calculate d(j(g)). -2*g**2 Let m(x) = -1650*x. Let c(n) = -3*n. Determine c(m(q)). 4950*q Let f(h) = -3*h. Let g(l) be the third derivative of 0 + 0*l**3 + 0*l**4 + 0*l - 1/60*l**5 - l**2. What is f(g(j))? 3*j**2 Let d(s) = -8*s. Let f(z) = 2*z**2 - 67*z. What is d(f(w))? -16*w**2 + 536*w Let q(r) be the second derivative of -r**4/24 - r**2/2 - 3*r. Let y(b) be the first derivative of q(b). Let h(w) = 2*w**2. Give h(y(d)). 2*d**2 Let s(o) = -9*o**2. Let k(j) = -65*j**2 + 8. Determine s(k(n)). -38025*n**4 + 9360*n**2 - 576 Let k(f) = 2*f**2. Let m(q) = -2*q**2 + 14*q. What is m(k(o))? -8*o**4 + 28*o**2 Let t(d) = 12*d**2 - 9*d. Let w(m) = m**2 - m. Let r(f) = t(f) - 9*w(f). Let g(a) = 7*a**2. Determine g(r(z)). 63*z**4 Let r(w) = 6*w**2 - 15 - 4*w**2 + 15. Let n(f) = 12*f**2. Determine r(n(z)). 288*z**4 Let s(g) = 2*g**2. Let p = -6 - -11. Let m(h) = -h**2. Let j(t) = -t**2. Let d(n) = p*m(n) - 3*j(n). Give d(s(u)). -8*u**4 Let y(c) = c. Let s = -1 - -6. Let m(a) = 2*a + 5. Let u(i) = -2*i - 4. Let f(j) = s*u(j) + 4*m(j). Determine y(f(k)). -2*k Let g(c) = 2*c. Suppose d = 4*b, 3 = 4*d + 19. Let w = 25 + -26. Let j(p) = 1. Let
{ "pile_set_name": "DM Mathematics" }
is the nearest to -11? (a) 17 (b) 3/7 (c) -4 c Which is the nearest to 198/67? (a) 1 (b) 0.2 (c) -3 (d) 3 (e) 4 d Which is the nearest to -0.08? (a) -4 (b) 3/7 (c) -22 (d) -106 b Which is the nearest to -0.1? (a) -2/15 (b) 0.3 (c) 7.18 (d) 30 a What is the nearest to 0.1 in 0.2, 0.016, 5/8, -3, -0.4? 0.016 What is the closest to -7 in 0, -0.2, 2/69, 18? -0.2 Which is the nearest to -2/7? (a) 4 (b) 2/7 (c) -0.8 (d) -0.3 d What is the closest to 2/5 in 4, -7255, 2/9? 2/9 What is the nearest to 1/4 in 4, -1.4, 3/26? 3/26 What is the nearest to 0 in 18/13, 2/29, -3/8, -1? 2/29 What is the closest to -685 in -3, 2/3, 0.2, -0.034, 3/4? -3 Which is the nearest to -4916? (a) 5/2 (b) 0.2 (c) 4 b Which is the nearest to 1/2? (a) -58/21 (b) 192 (c) -4 (d) -2/3 d What is the nearest to 0.09 in -3, 0, -37? 0 What is the closest to 7 in 0.3, 15/8, 0.053, -2/15, -6? 15/8 What is the closest to -1 in 1, 0.1, 1/3, -0.0752? -0.0752 Which is the closest to -0.03? (a) -0.5 (b) -2.1 (c) 3 (d) 0 (e) 4 d Which is the closest to 0? (a) -26.08 (b) -5 (c) -28 (d) 1 (e) -2 d What is the nearest to -346 in 0, 7/29, 2/3, -0.5? -0.5 What is the nearest to -1 in 0.078, 10/13, 4, -1? -1 What is the nearest to -1/3 in 0.3, -11.8, -0.027, -3/5? -3/5 What is the closest to -1 in -5/6, -242, -9, 4? -5/6 What is the nearest to -2/5 in -5/4, -2/15, 2, 3, -0.4? -0.4 What is the closest to -2/5 in 1/5, 8, 9, -0.23, 2? -0.23 What is the closest to -0.1 in -341, -1.1, 1/2, 4? 1/2 What is the nearest to -0.14 in 0.4, 1, 0.06, -0.5? 0.06 What is the nearest to -1 in -0.2, 0.1, 3? -0.2 What is the nearest to 0 in 3/8, 1/5, 0.07, -3, -12.2? 0.07 What is the nearest to 2/5 in 0.5, 4, -1814, 0, -33/8? 0.5 Which is the nearest to 0? (a) 0.2826 (b) -71 (c) 3 a What is the closest to 27 in 1.6, -0.06, -0.01? 1.6 What is the nearest to 1 in 0.6, -49/6, -4/7? 0.6 Which is the closest to -0.1? (a) 3 (b) 3837 (c) -4 a What is the nearest to 4 in 1/4, -4/11, -0.3, -1/11? 1/4 What is the closest to 1 in 0.6, 2/69, 0.3, 17, -1/5? 0.6 Which is the nearest to -2/7? (a) 4 (b) 2/5 (c) 0.2 (d) 67 (e) 0.1 e Which is the nearest to -1/3? (a) -3 (b) -1/6 (c) -0.4 (d) -3168 (e) -5 c Which is the closest to -14? (a) 1 (b) 54 (c) 3 (d) 0.3 (e) -2 e What is the nearest to 12 in 1/5, -1/1220, 0, 0.5? 0.5 Which is the closest to -79? (a) 2 (b) 0.016 (c) 3 (d) 2/3 (e) -4 e What is the nearest to 117 in 1, -3, 7, 22? 22 What is the closest to 0 in 23157, 5, -3? -3 What is the closest to -0.02 in -3/4, 27, -622? -3/4 Which is the nearest to -0.09? (a) -9 (b) 0.4 (c) -5 (d) 2 b What is the closest to -0.1 in 1/21, -0.5, -1/7, -4/9, 1/2? -1/7 Which is the nearest to 2? (a) 0.5 (b) -2/9 (c) -13/3 (d) 88 a Which is the closest to -168? (a) -0.9 (b) -0.5 (c) -3 c Which is the closest to 8? (a) -2/7 (b) 0.4 (c) -384 b Which is the closest to 52? (a) -0.23 (b) -4/3 (c) 0.3 (d) 1 (e) 0.4 d What is the closest to 0 in 2, -9/4, 14, 1.2? 1.2 What is the closest to 1313 in 2/5, -0.5, 4.7? 4.7 What is the closest to 1 in 3, -28/3, -3? 3 What is the closest to 28 in -8, -13, -0.3, -6? -0.3 Which is the closest to 0? (a) 0.4 (b) -0.35 (c) -2 (d) 0 (e) -4 d Which is the nearest to -16? (a) 2 (b) 0.4 (c) -2/579 (d) 2/17 (e) -2 e Which is the closest to 7? (a) 1.7 (b) 5 (c) -1/2 (d) 57 b Which is the closest to -1? (a) 2 (b) 4/5 (c) -8730 (d) -0.1 d Which is the nearest to 0.1? (a) -8/7 (b) -1/34 (c) 0.2 c Which is the closest to -816/13? (a) 1 (b) 51 (c) -5 (d) 0.3 c What is the nearest to 20 in -2/9, -10, 3? 3 Which is the closest to -2? (a) -3 (b) -9 (c) 3/5 (d) 28 a What is the closest to -16 in 0, 0.5, -0.025, -0.4? -0.4 Which is the closest to -1? (a) 4/3 (b) 148 (c) -23 a What is the closest to 3/19 in -0.5, 3, -0.2, -8.5? -0.2 What is the closest to 4 in -2/9, 1/2, -1, 0.16? 1/2 Which is the closest to 0? (a) -3 (b) -0.538 (c) -1/3 c Which is the nearest to 3/4? (a) 3 (b) 4/33 (c) -0.4 b What is the nearest to -1.4 in 2/11, -2/435, -0.5, 0.1, 1.3? -0.5 Which is the nearest to -2/7? (a) 0 (b) -0.0503 (c) -2 (d) 7/3 b Which is the closest to 0.94? (a) 70 (b) 3/4 (c) -0.1 (d) 2/9 b What is the nearest to -20 in -2, -1/175, -1, 1/6? -2 What is the closest to -1 in -11, -17725, 6/7? 6/7 What is the nearest to 2/3 in -1/6, 4, -5/7, -0.6, -1.33? -1/6 Which is the closest to 1/5? (a) 1 (b) 0.4 (c) -1.34 (d) -2 b What is the nearest to -0.1 in -5, 0.3, 63, -36? 0.3 What is the nearest to 0.056 in 0, -0.03, -1? 0 What is the closest to 0.05 in -0.004, -3, 0.06, -1? 0.06 Which is the nearest to 6? (a) -16/21 (b) -1/4 (c) -0.5 (d) -60 (e) 0 e What is the nearest to 0.2 in -2936, 1/6, 0.3? 1/6 What is the closest to 0.2 in -1, -0.2, 13161, -0.3? -0.2 Which is the closest to 8636? (a) 3 (b) 18 (c) 0 b What is the nearest to -1/4 in -2/11, -1, -0.5, 3/4, -133? -2/11 Which is the closest to 0.5? (a) 3/4 (b) 2/9 (c) -1/4 (d) 17 a Which is the nearest to 0.1? (a) 4/7 (b) 4 (c) 6656 (d) 2/3 a What is the closest to 0 in 2/21, -2/7, -4, 1.3? 2/21 Which is the closest to 11? (a) -0.4 (b) -21 (c) -119 (d) -4 (e) 0.2 e What is the nearest to 0.1 in 6/71, 3/4, -0.08, 1/11, 0? 1/11 Which is the nearest to -1? (a) 11 (b) -10 (c) 3/13 (d) 0.9 c Which is the nearest to -2/7? (a) -0.07 (b) 5 (c) 1.2 (d) -1 (e) 10 a What is the closest to 3 in -0.1, 494, -5/2, -5, -4? -0.1 Which is the nearest to 1? (a) 0 (b) -2.62 (c) 0.08 (d) 1/6 d What is the closest to 1/3 in -0.27, 3, 1/3558? 1/3558 What is the closest to 2 in -0.3, -1, 4, 0.453, 2? 2 What is the closest to 0 in 2/17, 5, 13.1, -2/11? 2/17 What is the closest to -2 in -0.3, 2/5, 56, -1? -1 What is the closest to -610 in -5/4, -1.2, 2/7? -5/4 What is the nearest to -1/5 in 0.5, 0.27, -0.83, -9/7? 0.27 Which is the nearest to -1? (a) 0.2545 (b) -2/11 (c) -3/4 c What is the closest to -1 in 0, 2, -0.5, 1/6, -0.18? -0.5 Which is the closest to 1/11? (a) -2 (b) -0.1 (c) -7/5 b What is the nearest to 23.8 in -0.4, 0.4, -0.5? 0.4 Which is the closest to 4? (a) 2/29 (b) 2.3 (c) -2 (d) -8/5 b What is the closest to -21 in 0.4, -0.5, 20, 0.3? -0.5 What is the nearest to -3 in -42, -29, -4, -1/3? -4 What is the nearest to 0.1 in -2, -7, 16, 0, 5? 0 What is the nearest to -4/9 in -6/107, -2/7, -161, -3/4? -2/7 What is the nearest to -0.1 in -0.022, -0.069, -4? -0.069 What is the nearest to -0.1 in 254/23, -2/11, 11/6? -2/11 What is the nearest to 1 in -716, -0.4, -1/10, 1/36? 1/36 Which is the nearest to 0? (a) 0.3 (b) -0.5 (c) 2/129 (d) -3 (e) -46 c Which is the nearest to -0.54? (a) -1/14 (b) -0.1 (c) 0.03 (d) 23 (e) -1 b What is the closest to 3 in 18, 1, 2/141, -0.4, 78? 1 Which is the closest to -1? (a) -1/8 (b) 3.9 (c) 48 (d) 0.2 (e) 2 a Which is the closest to 19? (a) -1.4 (b) -6 (c) -2/7 (d) -18 c What is the closest to 2/3 in -0.11, 5, -975? -0.11 Which is the nearest to -0.1? (a) 22 (b) -4/3 (c) 16/9 b Which is the nearest to -2138? (a) 0 (b) -1 (c) -0.2 (d) 9 (e) 2/9 b Which is the closest to -3/317? (a) -3 (b) -2 (c) 2/25 (d) 0.004 d What is the nearest to -0.4 in -83, -0.06, 0.04, -0.2, -0.3? -0.3 Which is the nearest to -12/5? (a) -97/10 (b) 9 (c) 3 c What is the closest to -8/27561 in -5, -3/7, 0? 0 Which is the nearest to 0.1? (a) 9/4 (b) -0.2 (c) 0.1 (d) 111 c What is the nearest to 51/4 in 11, -0.3, 0? 11 What is the nearest to 2 in 0.06, -1/2, -0.14, -1/4, -3? 0.06 Which is the nearest to -2? (a) 4 (b) -11 (c) 20 a What is the closest to -244 in 166, -2/3, -2? -2 What is the nearest to 0.6 in 1/15, -2/27, 4/15, -2/11, 6? 4/15 Which is the closest to -69? (a) -0.027 (b) 5 (c) 9/7 (d) -3 (e) 0.5 d Which is the nearest to -3/2? (a) -4/5 (b) 11 (c) -2.1 (d) -1/4 (e) -3 c What is the nearest to 1/3 in -0.3, 3, -23, 0.8? 0.8 What is the closest to 1/2 in 1, -0.4, -3/4, -2, -0.5? 1 Which is the nearest to -0.1? (a) 2 (b) -2/23 (c) 3/5 (d) 4 b What is the closest to -0.24 in 69, 0.4, 0, 2? 0 What is the nearest to -6 in -3, 5, -94? -3 What is the closest to 2 in -69, 59, 0.3? 0.3 What is the nearest to -2/125 in -4, -6505, 1/12? 1/12 What is the nearest to -23 in 50, 2, 0
{ "pile_set_name": "DM Mathematics" }
hundred thousand? 318200000 Round 0.000099677114 to 6 decimal places. 0.0001 Round 0.02046181307 to 4 dps. 0.0205 Round 0.142879167 to five decimal places. 0.14288 Round -12333.396897 to the nearest ten. -12330 What is 11732.7373 rounded to the nearest ten? 11730 What is -3349203720 rounded to the nearest 100000? -3349200000 Round -360406094.4 to the nearest one hundred thousand. -360400000 Round -43364740.2 to the nearest 100000. -43400000 What is -71.984622 rounded to the nearest 10? -70 Round 28438.84959 to the nearest integer. 28439 Round 0.06035854742 to six dps. 0.060359 What is 472682.7024 rounded to the nearest one hundred thousand? 500000 What is -12429.4708 rounded to zero dps? -12429 Round 0.1957893 to 2 dps. 0.2 Round 297.628507 to 1 decimal place. 297.6 Round 3353.02952 to 0 decimal places. 3353 Round 6113086.17 to the nearest one thousand. 6113000 Round 0.4313723943 to two dps. 0.43 What is -30306.5109 rounded to the nearest 10? -30310 What is 4.7347696 rounded to 0 dps? 5 Round -0.000008828267927 to 6 decimal places. -0.000009 What is -20438.229 rounded to the nearest one thousand? -20000 Round 147081079.8 to the nearest ten thousand. 147080000 Round -1227.742968 to 2 decimal places. -1227.74 Round 74408140.43 to the nearest 1000000. 74000000 What is 22555911.83 rounded to the nearest one thousand? 22556000 What is -1958089.852 rounded to the nearest 100000? -2000000 What is -0.00021978313 rounded to four decimal places? -0.0002 Round -0.1202503931 to five dps. -0.12025 Round -48049591.7 to the nearest one million. -48000000 What is -1.0026322 rounded to one dp? -1 Round -0.0000300404757 to 5 dps. -0.00003 What is -78821.98 rounded to the nearest one hundred? -78800 What is -6224407.52 rounded to the nearest 1000? -6224000 What is 389891971 rounded to the nearest one hundred thousand? 389900000 Round 912739859 to the nearest ten thousand. 912740000 What is -0.001747597836 rounded to four dps? -0.0017 Round 558057.563 to the nearest 100. 558100 What is 3128142360 rounded to the nearest one million? 3128000000 Round -38047.26883 to the nearest one thousand. -38000 Round 16.268735 to the nearest integer. 16 Round 2234.873057 to two decimal places. 2234.87 Round 2.2140633275 to four dps. 2.2141 Round -0.001183094458 to 4 dps. -0.0012 Round -66417534.8 to the nearest 10000. -66420000 What is -1095821300 rounded to the nearest 1000000? -1096000000 What is -22.0629407 rounded to 1 dp? -22.1 Round -714.25584 to the nearest integer. -714 Round 20679.8399 to the nearest one hundred. 20700 What is -0.0001369372342 rounded to five decimal places? -0.00014 What is 405914.27 rounded to the nearest one hundred thousand? 400000 What is -0.1580564395 rounded to two decimal places? -0.16 Round 0.00313460844 to 4 decimal places. 0.0031 Round 1.838128815 to the nearest integer. 2 Round -0.000711173211 to six dps. -0.000711 What is 18384970.6 rounded to the nearest one million? 18000000 What is 0.0296661394 rounded to two decimal places? 0.03 Round 0.01460961927 to four decimal places. 0.0146 Round 3.8190671 to 1 decimal place. 3.8 What is 4.06349838 rounded to 2 decimal places? 4.06 Round -0.000052263868 to 5 dps. -0.00005 Round -8.74827032 to zero dps. -9 Round -0.083573759 to 5 dps. -0.08357 What is 0.00389602737 rounded to 6 decimal places? 0.003896 Round 7.97385076 to 1 decimal place. 8 Round 0.063610144 to 2 dps. 0.06 What is -5502966.363 rounded to the nearest one thousand? -5503000 Round -2.227646 to three dps. -2.228 What is 8004344.672 rounded to the nearest 100000? 8000000 What is 994264.72 rounded to the nearest 10000? 990000 Round 0.000031404348 to 5 decimal places. 0.00003 Round -95.538458 to the nearest ten. -100 Round 22391.1106 to the nearest 10. 22390 Round 17948.9728 to the nearest one hundred. 17900 What is 1.63522624 rounded to 3 dps? 1.635 Round -0.33301517 to 3 dps. -0.333 What is -428216.308 rounded to the nearest 1000000? 0 Round -2.947456448 to 4 dps. -2.9475 What is 0.00019731715 rounded to 5 decimal places? 0.0002 Round 26336105230 to the nearest one million. 26336000000 What is 16339.6426 rounded to the nearest 10? 16340 What is 0.000440186654 rounded to 7 decimal places? 0.0004402 Round -0.00002201783467 to six dps. -0.000022 What is -0.00000011503956 rounded to 6 dps? 0 What is -0.000000464622784 rounded to seven decimal places? -0.0000005 Round 0.000559022525 to 7 dps. 0.000559 Round -0.114297929 to two decimal places. -0.11 What is -13.41500643 rounded to three decimal places? -13.415 Round -0.1657094992 to four dps. -0.1657 What is -69.4150392 rounded to 3 dps? -69.415 Round -88.837476 to 1 decimal place. -88.8 What is 1.75157144 rounded to one decimal place? 1.8 What is 0.00148139247 rounded to four decimal places? 0.0015 What is 12512.9209 rounded to the nearest integer? 12513 What is 15147826210 rounded to the nearest one million? 15148000000 What is -0.0352593899 rounded to 5 dps? -0.03526 Round -0.393280437 to 3 dps. -0.393 Round -6758453.56 to the nearest one hundred. -6758500 What is -8703396.58 rounded to the nearest 1000000? -9000000 Round 1461.83283 to one dp. 1461.8 Round 5092.213377 to one dp. 5092.2 Round -464554.9404 to the nearest 100000. -500000 Round -0.0006452571738 to 4 dps. -0.0006 Round 0.01559208342 to five decimal places. 0.01559 What is -83855.32 rounded to the nearest ten? -83860 What is -47038699.54 rounded to the nearest 10000? -47040000 Round 1675423780.4 to the nearest one hundred thousand. 1675400000 What is 5.581132952 rounded to the nearest integer? 6 What is 6129.90369 rounded to the nearest 1000? 6000 Round -0.0000608304952 to 6 decimal places. -0.000061 What is 0.000043780303 rounded to 7 decimal places? 0.0000438 What is 0.000000440360851 rounded to 7 dps? 0.0000004 What is -0.0405037997 rounded to 5 decimal places? -0.0405 What is 26143518.9 rounded to the nearest one million? 26000000 Round 0.21503298199 to 5 decimal places. 0.21503 What is 0.000007285113503 rounded to 6 dps? 0.000007 What is -2276473967 rounded to the nearest 100000? -2276500000 What is 0.0000489519967 rounded to seven dps? 0.000049 What is -15766.4685 rounded to the nearest one thousand? -16000 What is 102033.23 rounded to the nearest one hundred? 102000 Round -220.25765 to 1 decimal place. -220.3 Round -115.58485 to one dp. -115.6 What is -0.804902535 rounded to three dps? -0.805 What is -5624711.36 rounded to the nearest 1000? -5625000 Round -0.00002845551461 to six dps. -0.000028 What is 0.0068240421 rounded to four dps? 0.0068 Round -29463.992011 to the nearest integer. -29464 What is 45092038.9 rounded to the nearest one million? 45000000 What is 0.026729851 rounded to five dps? 0.02673 What is -45349.08059 rounded to the nearest one thousand? -45000 What is -0.0116185696 rounded to four decimal places? -0.0116 What is 9.305091525 rounded to the nearest integer? 9 What is -2796310.53 rounded to the nearest 100000? -2800000 Round 294111037.6 to the nearest 1000000. 294000000 Round 0.06343676564 to two dps. 0.06 What is -711.2897122 rounded to zero decimal places? -711 What is 78726831 rounded to the nearest ten thousand? 78730000 Round 0.002594651142 to three dps. 0.003 Round 0.00004340790658 to five decimal places. 0.00004 Round -370133.84 to the nearest ten thousand. -370000 Round 4738717.728 to the nearest 1000000. 5000000 Round -10669.7962 to the nearest 1000. -11000 Round -72575561.2 to the nearest one million. -73000000 What is 19791099 rounded to the nearest 1000000? 20000000 What is 0.0040826367 rounded to 3 dps? 0.004 Round 0.00730858824 to 6 dps. 0.007309 Round 0.0915159462 to 5 dps. 0.09152 What is 125942235 rounded to the nearest 1000000? 126000000 Round -0.00006477139158 to five dps. -0.00006 What is -28.21074228 rounded to three dps? -28.211 What is 0.000260431915 rounded to seven dps? 0.0002604 Round 305239.358 to the nearest 10. 305240 Round -10717793.6 to the nearest one thousand. -10718000 What is -11.702144582 rounded to 3 dps? -11.702 Round -77188556.4 to the nearest ten thousand. -77190000 What is 316927.9 rounded to the nearest 1000? 317000 Round 23528.534 to the nearest 100. 23500 Round 141.761844 to 0 dps. 142 Round 35.637355 to the nearest 10. 40 Round -2072903920 to the near
{ "pile_set_name": "DM Mathematics" }
-64 (base 12) in base 3? -2211 What is -4 (base 11) in base 7? -4 Convert 109 (base 10) to base 8. 155 What is -333 (base 5) in base 8? -135 -21120 (base 3) to base 12 -150 6 (base 9) to base 6 10 Convert -2 (base 14) to base 2. -10 What is -1 (base 11) in base 14? -1 Convert 3 (base 9) to base 8. 3 -42 (base 10) to base 5 -132 What is -5 (base 12) in base 10? -5 16 (base 15) to base 2 10101 Convert -1 (base 4) to base 12. -1 -10 (base 5) to base 6 -5 5 (base 14) to base 2 101 Convert -152 (base 11) to base 8. -262 -200 (base 9) to base 12 -116 Convert 2 (base 10) to base 16. 2 Convert -14 (base 7) to base 8. -13 -2200 (base 4) to base 6 -424 What is 4 (base 9) in base 4? 10 -4 (base 13) to base 8 -4 Convert 110 (base 2) to base 3. 20 Convert -2 (base 10) to base 5. -2 0 (base 14) to base 8 0 What is -a (base 13) in base 8? -12 Convert a1 (base 11) to base 10. 111 What is 0 (base 4) in base 2? 0 Convert 434 (base 5) to base 14. 87 What is -314 (base 8) in base 15? -d9 Convert -33 (base 4) to base 12. -13 What is 46 (base 7) in base 5? 114 What is 0 (base 6) in base 2? 0 Convert 3 (base 6) to base 8. 3 1 (base 6) to base 12 1 Convert b9 (base 12) to base 16. 8d Convert -310 (base 6) to base 5. -424 What is -1 (base 2) in base 15? -1 What is 340 (base 6) in base 3? 11220 4e (base 16) to base 8 116 What is 58 (base 13) in base 9? 81 Convert -3 (base 8) to base 14. -3 Convert -f (base 16) to base 15. -10 -1 (base 6) to base 7 -1 Convert -412 (base 5) to base 16. -6b Convert -29 (base 14) to base 11. -34 What is -2 (base 6) in base 2? -10 What is -da (base 14) in base 11? -165 Convert 4 (base 6) to base 4. 10 Convert 4 (base 14) to base 5. 4 Convert 201 (base 4) to base 8. 41 -3 (base 14) to base 8 -3 What is -145 (base 7) in base 15? -57 Convert 122 (base 4) to base 8. 32 3 (base 12) to base 3 10 -2 (base 5) to base 11 -2 What is -1000 (base 3) in base 7? -36 -28 (base 9) to base 14 -1c Convert -4 (base 6) to base 8. -4 What is 2 (base 8) in base 13? 2 7 (base 16) to base 9 7 10010 (base 2) to base 11 17 What is -110 (base 2) in base 13? -6 Convert -4 (base 9) to base 16. -4 Convert -103 (base 9) to base 11. -77 -1 (base 8) to base 2 -1 What is -6 (base 14) in base 6? -10 Convert 6 (base 14) to base 9. 6 -3 (base 11) to base 2 -11 77 (base 10) to base 14 57 -123 (base 5) to base 9 -42 1a (base 11) to base 12 19 Convert -14 (base 6) to base 3. -101 203 (base 6) to base 13 5a 1 (base 12) to base 10 1 Convert 2 (base 16) to base 10. 2 2 (base 4) to base 6 2 What is 1 (base 15) in base 4? 1 What is 0 (base 7) in base 5? 0 Convert 1303 (base 6) to base 3. 110010 -102 (base 3) to base 4 -23 210 (base 5) to base 4 313 What is -1 (base 3) in base 4? -1 What is -1 (base 3) in base 11? -1 Convert -1010 (base 2) to base 12. -a Convert 15 (base 15) to base 7. 26 What is 100 (base 2) in base 10? 4 What is -d6 (base 16) in base 12? -15a -1 (base 15) to base 16 -1 -2 (base 13) to base 2 -10 Convert -13 (base 5) to base 3. -22 Convert -2 (base 10) to base 7. -2 Convert -2 (base 15) to base 9. -2 What is -110000 (base 2) in base 16? -30 -1 (base 3) to base 16 -1 Convert 152 (base 14) to base 3. 100221 Convert -14 (base 16) to base 6. -32 Convert 13 (base 12) to base 11. 14 What is 316 (base 8) in base 12? 152 -4 (base 15) to base 11 -4 What is 3 (base 4) in base 14? 3 0 (base 5) to base 16 0 What is 1 (base 9) in base 13? 1 6 (base 7) to base 12 6 What is 2 (base 13) in base 10? 2 125 (base 7) to base 12 58 What is 2 (base 5) in base 13? 2 What is -1210 (base 6) in base 4? -10212 Convert 14 (base 15) to base 12. 17 52 (base 8) to base 4 222 Convert -36 (base 11) to base 10. -39 -2 (base 12) to base 9 -2 Convert -20 (base 11) to base 3. -211 Convert -20201 (base 3) to base 14. -cd Convert 27 (base 11) to base 6. 45 What is -5 (base 9) in base 6? -5 What is 111 (base 3) in base 13? 10 Convert 2 (base 3) to base 16. 2 Convert 3 (base 13) to base 4. 3 -1b (base 14) to base 16 -19 What is -1 (base 8) in base 3? -1 What is 5 (base 7) in base 14? 5 Convert 64 (base 8) to base 2. 110100 105 (base 7) to base 15 39 Convert -22 (base 13) to base 3. -1001 Convert 100 (base 2) to base 10. 4 What is -8 (base 10) in base 3? -22 What is -2 (base 10) in base 7? -2 -32 (base 13) to base 10 -41 What is -1 (base 7) in base 2? -1 Convert 0 (base 7) to base 9. 0 Convert -5 (base 11) to base 5. -10 What is -34 (base 12) in base 6? -104 Convert -42 (base 5) to base 13. -19 Convert 11 (base 2) to base 16. 3 Convert -231 (base 11) to base 8. -424 Convert -225 (base 7) to base 9. -140 -241 (base 8) to base 16 -a1 Convert 58 (base 15) to base 5. 313 Convert -1 (base 2) to base 15. -1 -15 (base 9) to base 10 -14 -a (base 15) to base 14 -a Convert 1 (base 11) to base 2. 1 Convert 1b (base 13) to base 15. 19 Convert -1 (base 10) to base 12. -1 Convert -64 (base 10) to base 3. -2101 What is -2222 (base 3) in base 5? -310 Convert -86 (base 13) to base 10. -110 0 (base 15) to base 3 0 What is -1112 (base 3) in base 4? -221 Convert 112 (base 13) to base 8. 270 What is 34 (base 14) in base 13? 37 What is 3a (base 16) in base 12? 4a What is 101 (base 7) in base 14? 38 55 (base 12) to base 2 1000001 What is -13 (base 12) in base 2? -1111 Convert -46 (base 11) to base 5. -200 Convert -47 (base 12) to base 2. -110111 Convert 3 (base 15) to base 14. 3 What is -43 (base 5) in base 11? -21 What is 2 (base 13) in base 8? 2 Convert -37 (base 12) to base 6. -111 Convert -2 (base 9) to base 16. -2 What is 233 (base 4) in base 2? 101111 What is -2 (base 12) in base 16? -2 Convert -1010 (base 2) to base 11. -a What is -4 (base 7) in base 14? -4 What is 4 (base 6) in base 4? 10 0 (base 8) to base 14 0 -2 (base 11) to base 6 -2 Convert 20 (base 6) to base 3. 110 What is -12 (base 7) in base 3? -100 12 (base 15) to base 5 32 Convert -15 (base 8) to base 5. -23 What is 87 (base 12) in base 13? 7c What is 5 (base 9) in base 15? 5 What is 2 (base 4) in base 12? 2 What is -102 (base 4) in base 15? -13 What is 2 (base 7) in base 5? 2 -9 (base 16) to base 14 -9 What is -20 (base 14) in base 12? -24 What is 12 (base 4) in base 12? 6 What is -11 (base 4) in base 7? -5 -2023 (base 5) to base 7 -524 2 (base 11) to base 6 2 16 (base 12) to base 5 33 What is -6 (base 14) in base 13? -6 What is -10 (base 12) in base 15? -c Convert -65 (base 8) to base 13. -41 -29 (base 14) to base 2 -100101 Convert d (base 16) to base 10. 13 22 (base 6) to base 15 e 70 (base 9) to base 10 63 What is 10 (base 10) in base 2? 1010 -327 (base 9) to base 5 -2033 Convert -5 (base 11) to base 13. -5 What is -20 (base 10) in base 7? -26 Convert 34 (base 10) to base 9. 37 Convert -3 (base 4) to base 13. -3 Convert -3 (base 16) to base 7. -3 Convert 0 (base 3) to base 11. 0 What is -7 (base 10) in base 4? -13 Convert 64 (base 9) to base 5. 213 Convert 101 (base 3) to base 7. 13 Convert 11 (base 13) to base 5. 24 Convert 2 (base 4) to base 13. 2 What is 100011 (base 2) in base 13? 29 -1 (base 14) to base 10 -1 10001 (base 2) to base 5 32 Convert 2 (base 10) to base 7. 2 What is 19 (base 12) in base 6? 33 -11 (base 14) to base 16 -f 11 (base 9) to base 12 a What is -22 (base 16) in base 12? -2a Convert 3 (base 13) to base 14. 3 What is a (base 14) in base 12? a 16 (base 9) to base 10 15 1035 (base 6) to base 15 10e Convert -6 (base 7) to base 13. -6 41 (base 9) to base 7 52 Convert 3 (base 5) to base 14. 3 69 (base 11) to base 2 1001011 Convert 2 (base 10) to base 14. 2 0 (base 4) to base 2 0 What is -1201 (base 3) in base 14? -34 Convert -16 (base 11) to base 4. -101 Convert -32 (base 9) to base 10. -29 What is 55 (base 12) in base 9? 72 -4 (base 8) to base 7 -4 -41 (base 5) to base 3 -210 -45 (base 10) to base 15 -30 What is -22 (base 4) in base 8? -12 Convert -13 (base 5) to base 3. -22 Convert 7 (base 9) to base 10. 7 What is 11 (base 11) in base 2? 1100 What is 11 (base 12) in base 5? 23 111 (base 3) to base 15 d What is 79 (base 12) in base 14? 69 -3 (base 16) to base 5 -3 Convert -14 (base 5) to base 4. -21 Convert 3 (base 15) to base 5. 3 What is 1101010 (base 2) in base 3? 10221 What is -28 (base 9) in base 2? -11010 2 (base 14) to base 9 2 Convert -24 (base 16) to base 4. -210 -72 (base 9) to base 11 -5a -22201 (base 3) to base 13 -151 Conve
{ "pile_set_name": "DM Mathematics" }
25 What is the p'th term of 56, 53, 48, 41, 32, 21, 8? -p**2 + 57 What is the j'th term of 20, 24, 40, 74, 132? j**3 - 3*j + 22 What is the k'th term of 650, 1299, 1948, 2597, 3246? 649*k + 1 What is the v'th term of 56, 59, 72, 101, 152, 231, 344? v**3 - v**2 - v + 57 What is the y'th term of 614, 569, 450, 221, -154, -711, -1486? -6*y**3 - y**2 + 621 What is the n'th term of -72, 45, 162, 279, 396, 513? 117*n - 189 What is the p'th term of 90, 467, 1088, 1947, 3038, 4355, 5892? -p**3 + 128*p**2 - 37 What is the y'th term of -1489, -5971, -13451, -23935, -37429, -53939? -y**3 - 1493*y**2 + 4*y + 1 What is the x'th term of 32, 62, 96, 134? 2*x**2 + 24*x + 6 What is the h'th term of 1455, 1457, 1457, 1455, 1451? -h**2 + 5*h + 1451 What is the h'th term of -298, -292, -286, -280, -274, -268? 6*h - 304 What is the s'th term of -123, -502, -1139, -2034? -129*s**2 + 8*s - 2 What is the c'th term of -6, -11, -20, -33? -2*c**2 + c - 5 What is the c'th term of -30266, -30267, -30268, -30269, -30270? -c - 30265 What is the m'th term of -23361, -23365, -23371, -23379? -m**2 - m - 23359 What is the k'th term of 6, 15, 24, 33, 42? 9*k - 3 What is the n'th term of 516, 515, 514? -n + 517 What is the d'th term of 23, 35, 37, 29? -5*d**2 + 27*d + 1 What is the r'th term of 32, 39, 48, 59, 72, 87, 104? r**2 + 4*r + 27 What is the b'th term of -16, -95, -228, -415, -656, -951? -27*b**2 + 2*b + 9 What is the z'th term of -19, -20, -21, -22? -z - 18 What is the i'th term of 674, 678, 682, 686, 690? 4*i + 670 What is the v'th term of -14579, -29156, -43733, -58310? -14577*v - 2 What is the l'th term of -288, -286, -276, -252, -208, -138? l**3 - 2*l**2 + l - 288 What is the q'th term of 39, 52, 67, 84, 103? q**2 + 10*q + 28 What is the y'th term of -177, -192, -207, -222, -237, -252? -15*y - 162 What is the a'th term of 3, 9, 17, 27? a**2 + 3*a - 1 What is the s'th term of 78, 139, 178, 183, 142, 43, -126, -377? -2*s**3 + s**2 + 72*s + 7 What is the p'th term of 2, 4, 4, 2, -2, -8? -p**2 + 5*p - 2 What is the u'th term of 143, 279, 415? 136*u + 7 What is the t'th term of 29, 101, 221, 389, 605, 869, 1181? 24*t**2 + 5 What is the z'th term of -13, 3, 31, 71? 6*z**2 - 2*z - 17 What is the s'th term of -4, 18, 48, 92, 156, 246, 368, 528? s**3 - 2*s**2 + 21*s - 24 What is the o'th term of 6, -163, -454, -873, -1426, -2119? -o**3 - 55*o**2 + 3*o + 59 What is the r'th term of -43, -86, -129, -172, -215? -43*r What is the i'th term of 148, 593, 1334, 2371, 3704, 5333? 148*i**2 + i - 1 What is the x'th term of -9, -33, -69, -117, -177, -249? -6*x**2 - 6*x + 3 What is the c'th term of -34, -39, -44, -49, -54, -59? -5*c - 29 What is the c'th term of 139, 140, 143, 148? c**2 - 2*c + 140 What is the q'th term of 13, 25, 37, 49? 12*q + 1 What is the n'th term of -127, -138, -157, -184, -219, -262, -313? -4*n**2 + n - 124 What is the l'th term of 18, 23, 32, 45, 62, 83? 2*l**2 - l + 17 What is the w'th term of 19, 47, 65, 67, 47, -1, -83, -205? -w**3 + w**2 + 32*w - 13 What is the n'th term of 1924, 1920, 1916? -4*n + 1928 What is the c'th term of 43, 48, 55, 64, 75? c**2 + 2*c + 40 What is the j'th term of 759, 765, 771, 777, 783, 789? 6*j + 753 What is the h'th term of -24, -156, -514, -1212, -2364, -4084, -6486? -19*h**3 + h**2 - 2*h - 4 What is the f'th term of 39, 58, 77, 96? 19*f + 20 What is the r'th term of 264, 265, 268, 273, 280? r**2 - 2*r + 265 What is the j'th term of 130, 170, 232, 310, 398, 490, 580, 662? -j**3 + 17*j**2 - 4*j + 118 What is the v'th term of 158, 176, 206, 254, 326? v**3 + 11*v + 146 What is the o'th term of -8, -63, -224, -545, -1080? -9*o**3 + o**2 + 5*o - 5 What is the h'th term of -60, -95, -162, -267, -416, -615, -870? -h**3 - 10*h**2 + 2*h - 51 What is the j'th term of -7812, -7816, -7830, -7860, -7912, -7992, -8106? -j**3 + j**2 - 7812 What is the l'th term of -29, -32, -35, -38, -41? -3*l - 26 What is the s'th term of 1357, 1360, 1365, 1372, 1381? s**2 + 1356 What is the d'th term of 165, 322, 479? 157*d + 8 What is the a'th term of 15, 38, 61? 23*a - 8 What is the u'th term of 3105, 3097, 3085, 3069? -2*u**2 - 2*u + 3109 What is the p'th term of -243, -246, -249, -252? -3*p - 240 What is the i'th term of -1560, -1558, -1546, -1518, -1468, -1390, -1278, -1126? i**3 - i**2 - 2*i - 1558 What is the q'th term of -336, -334, -332, -330, -328? 2*q - 338 What is the t'th term of 1, -7, -15, -23? -8*t + 9 What is the m'th term of 314, 616, 916, 1214, 1510, 1804, 2096? -m**2 + 305*m + 10 What is the y'th term of 20, 46, 90, 152, 232, 330, 446? 9*y**2 - y + 12 What is the a'th term of -11094, -11093, -11092, -11091, -11090? a - 11095 What is the d'th term of -5, -113, -395, -935, -1817, -3125, -4943, -7355? -14*d**3 - 3*d**2 - d + 13 What is the k'th term of 56, 154, 252? 98*k - 42 What is the g'th term of 73, 56, 13, -74, -223, -452, -779? -3*g**3 + 5*g**2 - 11*g + 82 What is the n'th term of -4762, -4764, -4766, -4768? -2*n - 4760 What is the j'th term of -1, 7, 17, 29? j**2 + 5*j - 7 What is the c'th term of 2420, 4843, 7266, 9689? 2423*c - 3 What is the x'th term of -21, -20, -19, -18, -17, -16? x - 22 What is the g'th term of 1947, 1961, 1989, 2037, 2111, 2217, 2361, 2549? g**3 + g**2 + 4*g + 1941 What is the n'th term of -4321, -4332, -4357, -4402, -4473? -n**3 - n**2 - n - 4318 What is the i'th term of 1, 62, 229, 556, 1097, 1906, 3037? 9*i**3 - i**2 + i - 8 What is the d'th term of 251, 259, 281, 323, 391, 491, 629, 811? d**3 + d**2 - 2*d + 251 What is the w'th term of 11215, 11207, 11185, 11143, 11075, 10975, 10837, 10655? -w**3 - w**2 + 2*w + 11215 What is the w'th term of -112, -151, -190? -39*w - 73 What is the d'th term of -169, -166, -165, -166? -d**2 + 6*d - 174 What is the x'th term of 1018, 1026, 1048, 1090, 1158? x**3 + x**2 - 2*x + 1018 What is the p'th term of -328, -1286, -2890, -5146, -8060, -11638? -p**3 - 317*p**2 - 10 What is the r'th term of 19, 16, 13, 10, 7, 4? -3*r + 22 What is the b'th term of 18, 59, 134, 249, 410, 623, 894, 1229? b**3 + 11*b**2 + b + 5 What is the b'th term of 10, 28, 68, 142, 262, 440, 688, 1018? 2*b**3 - b**2 + 7*b + 2 What is the n'th term of -735, -737, -739, -741, -743, -745? -2*n - 733 What is the u'th term of -576, -553, -494, -381, -196, 79, 462? 3*u**3 + 2*u - 581 What is the k'th term of -11, -31, -57, -89, -127, -171, -221? -3*k**2 - 11*k + 3 What is the p'th term of 130, 277, 454, 667, 922? p**3 + 9*p**2 + 113*p + 7 What is the b'th term of 52, 105, 182, 295, 456, 677, 970? 2*b**3 + 39*b + 11 What is the b'th term of -95, -184, -273, -362? -89*b - 6 What is the w'th term of 171, 696, 1579, 2826, 4443, 6436? w**3 + 173*w**2 - w - 2 What is the t'th term of 412, 762, 1112, 1462, 1812, 2162? 350*t + 62 What is the f'th term of -143, -181, -219, -257, -295? -38*f - 105 What is the y'th term of -38, -68, -98? -30*y - 8 What is the a'th term of -1165, -2332, -3499, -4666? -1167*a + 2 What is the o'th term of -57, -24, 57, 210, 459? 4*o**3 + 5*o - 66 What is the y'th term of -2445, -4892, -7339, -9786, -12233, -14680? -2447*y + 2 What is the d'th term of -85, -692, -2341, -5554, -10853? -87*d**3 + d**2 - d + 2 What is the w'th term of -3, 50, 173, 396, 749, 1262, 1965, 2888? 5*w**3 + 5*w**2 + 3*w - 16 What is the c'th term of 2659, 2657, 2655, 2653? -2*c + 2661 What is the s'th term of -2134, -4268, -6402, -8536? -2134*s What is the r'th term of 7, 11, 15, 19, 23? 4*r + 3 What is the i'th term of 21, 38, 57, 78, 101? i**2 + 14*i + 6 What is the h'th term of -77, -74, -69, -62, -53, -42, -29? h**2 - 78 What is the g'th term of 34, 1, -46, -101, -158, -211, -254, -281? g**3 - 13*g**2 - g + 47 What is the d'th term of 124, 256, 398, 550, 712, 884? 5*d**2 + 117*d + 2 What is the i'th term of 155, 288, 399, 482, 531, 540, 503, 414? -i**3 - 5*i**2 + 155*i + 6 What is the l'th term of -112, -135, -158, -181, -204, -227? -23*l - 89 What is the z'th term of -60, -54, -46, -36, -24, -10? z**2 + 3*z - 64 What is the x'th term of -64, -35, 32, 155, 352, 641, 1040, 1567? 3*x**3 + x**2 + 5*x - 73 What is the o'th term of 55, 47, 27, -11, -73? -o**3 - o + 57 What is the t'th term of -131, -251, -357, -443, -503? t**3 + t**2 - 130*t - 3 What is the n'th term of 7, 23, 49, 85, 131? 5*n**2 + n + 1 What is th
{ "pile_set_name": "DM Mathematics" }
r of o and 6? 3 Let h(f) = 3*f**2 - 2*f - 2. Let i be h(-5). Suppose 1 + i = 4*c. Suppose 0*z = z + 3*q - 15, -2*z + c = -3*q. What is the greatest common factor of z and 12? 12 Suppose 189 - 9 = 3*i. Suppose 2*r = g - i, 4*g - 5*r - 225 = -2*r. What is the greatest common factor of g and 6? 6 Let d be 33*(1 - 7/(-3)). What is the highest common divisor of 10 and d? 10 Let m(t) = t - 4. Let w be m(8). Suppose 792 = -7*p + w*p. Let o = -174 - p. Calculate the highest common divisor of o and 10. 10 Let p = -29 + 44. Calculate the highest common divisor of 5 and p. 5 Let k(m) = -6*m + 5 - 4 - 43*m. Let g be k(-2). What is the highest common factor of g and 9? 9 Let p be (-6)/4*((-1 - 0) + -1). What is the greatest common divisor of 12 and p? 3 Let x be (6 - 4)/(2/21). What is the highest common factor of x and 168? 21 Let c be 208/56 - 2/(-7). Let l = c + 5. Calculate the greatest common divisor of 1 and l. 1 Let g(h) = h**2 + 9*h + 2. Let d be g(-9). Let f = d - 0. Suppose 3*j - 4*t = 4*j, 3*j - 28 = -5*t. Calculate the greatest common factor of j and f. 2 Let i = -5 + 5. Let k(p) = -p**2 + 3. Let j be k(i). What is the greatest common factor of 21 and j? 3 Suppose 4*j = 2*j + 2, -5*n + 13 = -2*j. Suppose n*w = 2*w + 15. What is the highest common factor of 30 and w? 15 Let n be 1*392/(6 + -2). Suppose f - 25 = -k, -3*f + n = -k + 5*k. Calculate the greatest common divisor of k and 46. 23 Let a(z) = -2*z - 4. Let w be a(-4). Let m be 72/30*(-40)/(-6). Suppose m = 4*q - 5*y, -2*q + q - 3*y = -w. Calculate the highest common divisor of 20 and q. 4 Suppose 112 = 5*z - 178. Suppose -3*k + z = -2*f, k + 4*f - 13 = -3. What is the highest common factor of k and 18? 18 Let i = -3 + 5. Suppose -4*o = -4*b + 24, -b - 3*o = -i + 16. What is the greatest common factor of 4 and b? 1 Let p = 65 - 56. What is the highest common divisor of p and 1? 1 Suppose 0 = -2*r - s + 219, -2*r = s + 4*s - 199. What is the greatest common divisor of r and 16? 16 Suppose 5*y + 129 = 5*o - 4*o, -3*y = -9. Calculate the highest common divisor of 16 and o. 16 Suppose -i = -5*u, 0 = 2*i - 4*i + 3*u. Suppose -2*d + 475 + 65 = i. What is the highest common divisor of d and 30? 30 Let d(o) = 4*o**2 - 6*o + 126. Let w(m) = -3*m**2 + 5*m - 126. Let l(h) = -4*d(h) - 5*w(h). Let f be l(0). What is the greatest common factor of f and 14? 14 Suppose 0 = 6*i - 5*i - 80. What is the highest common factor of i and 8? 8 Let w(a) = 6*a**2 - 2*a + 1. Let o be w(2). Suppose x = 4*x - o. Let n be 68/x + (-4)/(-14). What is the highest common factor of n and 25? 5 Let h be (30/9)/(6/9). Let p = h - -1. Calculate the highest common factor of p and 18. 6 Let o be (-27)/(-5) + (-10)/25. Calculate the greatest common divisor of 25 and o. 5 Let w be 0/(-2 + -2) - -15. Calculate the greatest common divisor of w and 12. 3 Let g = 16 + -6. Suppose g = -5*l, 2*n + l + l = 26. What is the highest common divisor of n and 120? 15 Let n(w) = 3*w. Let m = -8 - -9. Let a be n(m). Suppose 0 = t - a - 7. What is the greatest common factor of 25 and t? 5 Let u(d) = -3*d**2 + 2*d - 3. Let v(i) = i**2 - i + 1. Let l(c) = -3*u(c) - 7*v(c). Let m be l(-2). Calculate the greatest common factor of m and 12. 4 Let l(v) = v**2 + 32*v + 6. Let t be l(-32). What is the greatest common factor of 42 and t? 6 Let k be (2 + 0)/((-4)/(-54)). Calculate the greatest common divisor of 189 and k. 27 Let v(x) = 9*x - 7. Let y(m) = 22*m - 18. Let n(j) = -12*v(j) + 5*y(j). Let o be n(7). Suppose z = 7 + o. What is the greatest common factor of z and 60? 15 Suppose -6 = 2*o - 28. Calculate the greatest common divisor of o and 121. 11 Suppose -7 = -3*q + 77. Suppose -4*p + q = -5*c, 0 = -2*p + 3*p + 2*c - 20. Suppose -2*d - 40 = -7*d. Calculate the greatest common divisor of p and d. 4 Let j(v) = -2*v**3 + 2*v**2 + v + 5. Let k be j(-4). Let b be (-4)/(-2) + -2 + 23. Calculate the greatest common divisor of b and k. 23 Suppose j - 5*j - 5*y + 60 = 0, -5*y = j. Calculate the highest common divisor of j and 20. 20 Let o = 6 + 24. What is the greatest common factor of o and 2? 2 Let g(x) = x**3 - 7*x**2 - x + 3. Let f be g(7). Let w = 12 + f. Let d = 40 - 8. Calculate the highest common factor of d and w. 8 Let m(c) = -c**3 - c**2 + 4*c. Let p be m(-3). What is the highest common factor of p and 36? 6 Let v = 12 + -8. What is the highest common divisor of 20 and v? 4 Let g(l) = -2*l**2 + 8*l - 20. Let z(c) = 5*c**2 - 16*c + 41. Let d(h) = -7*g(h) - 3*z(h). Let f be d(-7). What is the highest common divisor of f and 12? 12 Let a = 2 - -63. Calculate the greatest common factor of a and 13. 13 Let g = -3 + 5. Suppose 3*b - 27 = -3*y, g*b + 5 = 4*y - 1. Suppose 3*n - 81 = -3*m, -5*n - 115 + 26 = -3*m. What is the highest common divisor of m and y? 4 Let h(d) = 2*d**3 - 14*d**2 - 17*d - 19. Let q be h(9). Calculate the highest common divisor of 8 and q. 8 Let b(r) = 6*r + 4. Let t be b(2). Calculate the greatest common divisor of t and 24. 8 Suppose 3*p = p + 88. Suppose 3*x - 5 - 28 = 0. What is the highest common factor of p and x? 11 Let c = -163 - -177. Calculate the highest common divisor of c and 70. 14 Let l = 13 - 11. Let x be ((-2)/(-5))/(l/750). Calculate the highest common divisor of x and 15. 15 Suppose 7*h - 13 - 29 = 0. What is the greatest common divisor of 42 and h? 6 Suppose 70 = 5*n - 5*y, 25 = -2*n - 5*y + 60. Let v be (1 + -1)/(6 + -3). Let b = 3 - v. What is the greatest common divisor of n and b? 3 Let f be 5337/63 - (-2)/21*3. What is the highest common factor of f and 51? 17 Let w be 1 - 1 - (2 - -70)/(-4). Let j be (-6)/(-4)*(-8)/(-12). Let f be j/(56/54 - 1). Calculate the highest common factor of w and f. 9 Let i(a) = a**3 - 5*a**2 + 7*a - 4. Let w be i(4). Let d = 69 + -37. Calculate the highest common factor of w and d. 8 Suppose 13 = -3*i + 55. Let d be (5 - -247)*1*(-1)/(-2). Calculate the greatest common factor of i and d. 14 Let t = 74 - 8. Calculate the highest common divisor of 165 and t. 33 Let a = 15 - 12. Let g be 85/4 - (-1)/(-4). Calculate the highest common divisor of a and g. 3 Let s(u) be the second derivative of 1/12*u**4 + 0 + 3*u - 11/6*u**3 + 15/2*u**2. Let w be s(10). Calculate the highest common divisor of w and 45. 5 Let x be (3 + (2 - 0))*4. Let d(q) = 6*q**2 - 3*q - 2. Let i be d(-4). Suppose -x = -a + i. Calculate the greatest common divisor of 14 and a. 14 Let w be (-2 - 12)/(1/(-2)). What is the greatest common divisor of 14 and w? 14 Let z(r) = r**3 + 10*r**2 - 6*r. Suppose 3 = -i + 5*v - 11, -3*v - 42 = 5*i. Let a be z(i). Calculate the highest common divisor of 15 and a. 15 Suppose x - 12 = -3*s, 2*x + 3*s - 20 = -2*s. Let l(p) = -p**3 + 2*p**2 + 24. Let c be l(x). What is the greatest common divisor of c and 24? 24 Suppose 4*f - 8*f = -48. Let z = 62 - 32. Calculate the highest common factor of z and f. 6 Suppose 0 = 4*o + 3 - 23. Suppose -2 = -o*b + 8. Suppose -b*p - 12 = -q, 0*q + 4*p + 16 = q. What is the highest common divisor of 64 and q? 8 Let s(b) = 2*b**2 + 7*b + 5. Let w be s(-4). Let x = 0 + w. What is the highest common factor of x and 63? 9 Suppose 3*w - 2*n + 86 = 5*w, 0 = -5*n + 20. Suppose q + 15 = -2*q, -4*g + w = 5*q. Calculate the greatest common divisor of g and 144. 16 Suppose 5*p - 180 = 30. Let f(o) = -o**2 - 6*o + 9. Let z be f(-7). Suppose 0 = -z*v + 18 + p. What is the highest common divisor of 20 and v? 10 Let a = -108 + 220. Let n(g) = g**3 - 5*g**2 - 5*g + 8. Let b be n(6). Calculate the greatest common divisor of b and a. 14 Let w(u) = -3*u**3 - 5*u**2 - 8*u - 6. Let o be w(-3). Calculate the highest common divisor of o and 6. 6 Let i be ((-6)/(-8))/(1/8). Let w(u) = -6*u. Let t be w(-4). Let h = t - 12. What is the highest common divisor of h and i? 6 Let r(s) = 5*s - 7. Let k be r(6). Let z = -410 + 433. Calculate the highest common divisor of z and k. 23 Let c be (-1 - 2) + 4 + 38. What is the greatest common factor of 195 and c? 39 Let g(t) = t**3 + 5*t**2 + 2*t + 6. Let k be g(-3). What is the highest common divisor of k and 42? 6 Let c be -4*17/(-2)*1. Let n = -16 + c. Let a = -446 - -448. Calculate the greatest common divisor of a and n. 2 Suppose -y = 3*u - 0*u - 5, -3*y - u = -7. Let g = 22 - 4. Calculate the greatest common factor of g and y.
{ "pile_set_name": "DM Mathematics" }
e 171*t = 165*t + 6. What is the fourth biggest value in -19, -3, -3/5, t? -19 Let g = 455 - 1137. Let x be (-2)/(-13) + g/715. Let h = -0.08 - 0.22. Which is the third biggest value? (a) 0.4 (b) h (c) x c Let m = -3 - -2.94. Let w = -7.94 + m. Let k be ((-2)/16)/(-1 + (-21)/(-14)). What is the biggest value in w, k, 2? 2 Let j = 93 - 93. Let w = 0.41 + 0.09. What is the second biggest value in 3/5, j, -60, w? w Let f = -0.165 - 19.835. What is the third biggest value in -5, f, -1/2, -0.2? -5 Let o = -298.7 + 299. What is the second biggest value in -5, o, 4/9? o Let j = -8.8 + -54.4. Let p = j + 63. Let k = 0.3 - 2.3. What is the smallest value in -4, k, p? -4 Let j(l) = -l**3 + 3*l**2 - 2*l + 1. Let k be j(1). Let f = -19 + 75/4. What is the third biggest value in 11, k, f? f Let h = -0.185 - 1.815. Which is the second biggest value? (a) 4 (b) h (c) -0.2 (d) -1 c Let a = 91.1 - 91. Let x = 51 - 51.4. What is the smallest value in a, -1, x, -2? -2 Let f = 2/91 - -71/910. Let m = 0.08 - 0.18. Let b = 0.1 + 0.1. What is the smallest value in f, m, b? m Let x be 3*39/162 - (-4)/(-18). Which is the second biggest value? (a) 3/2 (b) 2/19 (c) x c Let v = -61 + -34. Let o = v - -50. Which is the third smallest value? (a) 0 (b) o (c) -0.2 a Let y = 0 + -0.4. Suppose 8 = 2*c, 10*v - 3*c = 13*v - 9. What is the biggest value in y, -2, v, -5? y Let l = 6 + 15. Let t = l + -33. Let z = 10 + t. Which is the smallest value? (a) -0.4 (b) z (c) -5 c Let o = -0.014 - -0.414. Which is the smallest value? (a) -0.31 (b) o (c) -2/7 (d) -1 d Let t = -404 - -403.5. Which is the fourth biggest value? (a) 4 (b) t (c) 1/4 (d) 0.1 b Let j = -1 + -4. Let q = -162/13 + 363/26. What is the second smallest value in j, 2/17, -0.3, q? -0.3 Let a = -7 + 6.7. Let b be (-215)/(-84)*(-33)/(-945). Let j = 3/196 - b. What is the smallest value in j, -0.5, a? -0.5 Let k be -1*3/15*-2. Let r be ((-3)/(-60))/(1 + 10/(-12)). What is the fourth smallest value in 0.5, -5, r, k? 0.5 Let u be 27/18*(-1)/(-4). Let n = 14 - 14.4. Which is the fourth smallest value? (a) n (b) 1.4 (c) -2/13 (d) u b Let i = 96 - 96.4. Let z be (1 + 0)*3*1. Let r be 6/12 + 1/4. What is the smallest value in i, z, r? i Let y be 2/((-30)/(-69)) + -5. What is the third biggest value in y, -1/8, 2, 0.2? -1/8 Suppose -25*n = -12*n + 65. Let f = 1/45 + -49/180. What is the third biggest value in 3/2, f, n? n Let s = -22 + 54. Let c = 29 - s. Let f be (-4)/6 - (-2)/(-2). What is the biggest value in f, -2, c? f Let t = -12.2 - -0.2. Let u = -0.174 + -11.926. Let q = u - t. What is the smallest value in q, -2/7, -1? -1 Let g(l) = l + 7. Let k be g(0). Suppose k*f = 3*f + 12. Let p = 5.088 - 0.088. Which is the biggest value? (a) p (b) f (c) -2 a Let u = -1404 + 11229/8. Let n be 0*((-3)/(-2) + -2). What is the fourth smallest value in -2/11, n, u, 2/3? 2/3 Suppose 2*n - g + 9 = 0, 4*g + 6 = -3*n + 3*g. Let d = -15.34 + 0.34. Let z = 14 + d. Which is the second biggest value? (a) z (b) 5 (c) n a Let l = 4/43 + -146/645. Let o = 94/285 + 4/57. What is the smallest value in 2, o, l, -5? -5 Let s = -1.99 - 0.01. Let t = 0.47 + -0.482. Let f = t + 4.012. Which is the third biggest value? (a) -2/9 (b) f (c) s c Let j = -51 - -140. Let u = 88.6 - j. Which is the third biggest value? (a) 4 (b) 1 (c) u (d) -5 c Let s = 3.254 - 0.244. Let v = s - 0.01. Let y = 505/7 - 72. What is the second biggest value in v, 2, y? 2 Suppose 4*v - 2*n - 7 = 3, v + 2 = -n. Let g be -2*1/(-4)*-2. Let x = -0.09 - 0.01. Which is the smallest value? (a) g (b) x (c) v a Let s = -4.6 - -6.6. Let n = 3.3 + -20.3. Let q = 20 + n. What is the third smallest value in -3/2, q, s? q Let y = -134 + 2280/17. Let j be 4/(-6) + 112/(-21). Which is the smallest value? (a) -0.2 (b) y (c) -1/4 (d) j d Let s = 30.019 - 0.019. Let z = 28 - s. What is the third biggest value in 0.4, z, -1? z Let k = -1.13 + -1.87. Which is the second biggest value? (a) -0.5 (b) k (c) -5 (d) 0 a Let f = -1.3 + 1.8. Which is the fourth biggest value? (a) -0.3 (b) -0.01 (c) 4 (d) f a Let u be (9/6)/(6/(-8)). Let k be 2/15 + (-522)/(-135). What is the smallest value in u, k, -1? u Let m be (20/3)/5*(-37 - -1). Let p = 237/5 + m. Which is the second smallest value? (a) 2/13 (b) p (c) 2 a Let q be -9 + 3 - -11 - 1. Which is the second biggest value? (a) q (b) -5 (c) -17 b Let o = -550.6 - -551. Let i = 1 + -1. Let h = i - -0.5. What is the third smallest value in -1, h, o? h Let y = 0 - -0.2. Let v = -64 + 66.4. Let o = v - 0.4. Which is the biggest value? (a) 5 (b) o (c) y a Let j = 144.7 - 145. What is the third smallest value in 0.5, 0.3, j, -7? 0.3 Let w be 10/(-24) - 2/(-8). Let t = -35.609 + 35.609. Which is the smallest value? (a) w (b) t (c) 1/9 (d) 7 a Let m = 59 + -58.7. Which is the third smallest value? (a) 5/6 (b) m (c) -2/11 a Let a = -85 + 90. What is the second smallest value in 36, a, -1? a Let b = 5.58 + -5.49. What is the third smallest value in 3/4, b, -0.8? 3/4 Let n = 0.03 - -0.046. Let j = n - 3.076. What is the third biggest value in j, 3, -1.6? j Let m = -0.0185 + -0.1815. Let g = -1.98 + -0.02. Which is the fourth biggest value? (a) -1 (b) 1 (c) g (d) m c Let t = -151.5 - -151. What is the smallest value in t, -3/7, 0? t Let m(i) = -i**2 + 2*i - 2. Let n be m(3). Let t = n - -3. Let a = -7565.2 - -7565. What is the biggest value in a, -5, t? a Let g = -202 + 206. What is the third biggest value in 107, 1, g? 1 Let q be (((-108)/6)/(-6))/(102/4). Which is the biggest value? (a) q (b) -0.1 (c) -1/5 (d) -3 a Let m = 5860/9 + -651. Which is the second smallest value? (a) m (b) -4 (c) 2 a Let y = 0.3834 + 0.1166. What is the biggest value in -20, y, -5? y Suppose -v - 2 = -3*v. Suppose -4*k - 20 = -2*d, -24 = -3*d + 2*k + 2*k. Let q be ((-4)/42)/(d - (-60)/(-18)). What is the third biggest value in 0, v, q? q Let y(q) = -q**3 - 64*q**2 - q - 59. Let k be y(-64). Which is the smallest value? (a) k (b) -4 (c) -0.5 (d) 1 b Let f(s) = -s**2 - 6*s. Let w be f(-5). Suppose -5*a - 8 = 3*k, 4*k - 3*a = -w*a - 6. What is the third biggest value in 0.06, k, 1? k Let j be 3*((-57)/(-9) + 2/3). Let s = j + -20. Which is the second biggest value? (a) s (b) 5/2 (c) 0.4 a Suppose -65 = 15*z - 2*z. Which is the second biggest value? (a) z (b) 1/3 (c) 0 (d) -1/2 c Let l = 231/20 - 54/5. Let t = -7 + 7.3. What is the second smallest value in 3, -1/4, t, l? t Let f be 12/(-8)*(-32)/26436. Let p = 125843/149804 - f. Let q = p + -3/34. What is the third smallest value in q, 0.5, 0.4? q Let l be 46/(-12) - 1/(-3). Suppose 0 = -v + 6*v - 125. Let k be ((-5)/(-2))/1*(-4)/v. What is the biggest value in k, l, -1? k Let f = 0.126 + -0.026. What is the third smallest value in 2/9, 2/11, -25, f? 2/11 Let u = 23.8 + -26.8. Which is the second smallest value? (a) 142/7 (b) u (c) -0.4 (d) 1 c Let w = 2 + 1. Suppose -5*d - 4*n = -0*n - 8, 0 = n - 2. Suppose p - 14 = -p - 3*v, d = 4*p - 3*v - 10. Which is the smallest value? (a) p (b) w (c) 5 b Let k(c) = c**3 + 11*c**2 - 13*c + 9. Let n be k(-12). Let y be 2/7 + (-426)/n. Let q be (-10)/y + (-1)/(-1). What is the biggest value in -3, -2, q? q Let j = -0.01 + -1.99. Suppose 5*t - 20 = -4*z + 3*t, -4*z + t = -14. Let d = -479/1192 + 4/149. Which is the biggest value? (a) j (b) d (c) z c Let x = 89/705 - -1/141. Let r be (-26)/42 - 2/(-6). Which is the smallest value? (a) x (b) 18 (c) -2 (d) r c Let g be (-3 - 176/(-40))/(11/5). Which is the third biggest value? (a) -0.1 (b) g (c) -3 c Let k be 5/4 - (-13)/(-26). Let x = 9 + -6. Let l be (-12)/(-10)*(-30)/(-9). Which is the biggest value? (a) l (b) x (c) k a Suppose -5*d - 109 = -2*d + 5*j, -3*d - 91 = -4*j. Let g be (12/d)/(8/(-44)). Suppose -3*o - 3 = -0*o. Which is the third smallest value? (a) 5 (b) g (c) o a Let b = -3 - -7. Suppose -15 = v - 18. Suppose 1 - v = 2*c. What is the second biggest value in -2/17, b, c? -2/17 Let t = 8 - 7.5. Let h = 4 - 1. Let o = -530 + 532. Which is the third biggest value? (a) t (b) h (c) o a Let z = -32.8 + 33.1. What is the biggest value in -0.7, -1, z? z Suppose -376*g + 385*g = 36. What is the biggest value in 3, g, 0.6, 0.01? g Let t be (
{ "pile_set_name": "DM Mathematics" }
o = g + -1.2. Let z be (-16)/60*(-6)/(-4). What is the closest to -2 in o, -3, z? -3 Let u = 4.1 - 105.1. Let g = u - -104. What is the closest to 3 in 1, 2/9, g? g Let t = 39 - 36. Suppose 0*o = r - t*o - 3, o + 12 = 4*r. Let c = -4/29 - 30/203. What is the nearest to 3 in -0.5, c, r? r Let w be 5*(64/30 - 2). Let m be 580/(-203)*4/8*7. Which is the closest to w? (a) 3 (b) m (c) 2 c Let n = -28968/7 - -4138. Let y = 0.8 - 1. Let h = 0 + y. What is the nearest to h in 1, -5, n? n Let c = 0.148 + 0.252. What is the nearest to 0 in 1, -21, c? c Suppose -2*r = 86 - 82. What is the closest to -0.1 in r, 1, -3? 1 Let l = 1.3 - -6.7. What is the nearest to -7 in -4, 1/4, l? -4 Let c = 122 + -119. What is the closest to -0.1 in 0.3, c, 4, 7? 0.3 Let z = -1.83 - -1.73. Which is the nearest to 1? (a) z (b) -1/4 (c) -10 a Let x = 293.5 - 292. Which is the closest to 2? (a) -2 (b) -0.5 (c) x c Suppose 2*q = -2*o - 0*q + 10, 2*o - 5*q + 4 = 0. Let w be (-3)/(-2) + 0 + o. Let d = -4 + w. What is the nearest to d in 0.3, -2, 1? 0.3 Let w be ((-22)/(-66) + (-22)/12)/6. Let v = 6.2 + -1.2. Which is the nearest to -0.1? (a) -7 (b) w (c) v b Let s = 457/7 - 65. Which is the closest to s? (a) 0.05 (b) -2/7 (c) -2 (d) 2/27 d Let p = -1.3 + -3.7. Let u = -2433/3880 - -1/485. Let f = u + -1/24. What is the closest to f in 0.2, p, 0? 0 Suppose 0 = -t - 3*l + 6, 5*t + 5*l + 7 - 17 = 0. Let z = -1251 - -58799/47. What is the closest to t in -0.4, z, -2/9? z Let c = 195 + -174.56. Let l = -0.44 + c. Let v = l + -15. What is the closest to -0.3 in -0.2, -0.1, v? -0.2 Let u = -99.4 - -79.4. Which is the nearest to -0.1? (a) -1 (b) u (c) 0.09 c Let h = -604.1 + 604. What is the nearest to 0.6 in 4, h, -2? h Suppose 2*x = -0*x. Let u = 27 + -28. Let y be u + (-2)/(-2) - (-20)/40. Which is the nearest to -1? (a) y (b) -2/7 (c) x b Let r = 818 + -2455/3. What is the closest to -1 in r, 5, 9? r Let u = -1651 + 1651.3. Which is the closest to 0.1? (a) -3 (b) 1 (c) u (d) -2/5 c Let f = -8 - -3. Let z be 7/(49/24) - (-44 + 47). Which is the closest to -1/4? (a) -3 (b) z (c) f b Let x = -0.01 + -1.09. Let v = x + 0.9. Let j = -23 - -20. Which is the closest to v? (a) -1/4 (b) -2 (c) j a Let h be (162 + -161)*((-8)/5)/((-2)/5). Let l = -1 - -1.2. Let z be 10*1*(-1)/(-2). What is the nearest to 0 in l, z, h? l Let d be 3/4*52/(-78). Which is the closest to 3? (a) 4 (b) -9/5 (c) d a Let v = -1.5 - -1. Let n be 35/(-84)*(-36)/(-60). What is the nearest to 2 in -1/9, n, v? -1/9 Let m(p) = 21*p**3 - p. Let u be m(-1). Let x(j) = -j**2 + 9*j - 40. Let l be x(7). Let o be 12/8 - l/u. What is the nearest to o in 2/5, 4, 4/9? 2/5 Let q = -44.9 + 45. Let u = 0.33 - 0.23. Which is the nearest to u? (a) -2/17 (b) q (c) 0 b Let m = -0.8 + -4.7. Let g = m - -8.5. Which is the nearest to 0.1? (a) -0.4 (b) g (c) 2/9 c Let w = 11.32 + -10.72. Let t = -2/5 + 1/15. Which is the closest to w? (a) -3 (b) 2/5 (c) t b Let u = -82.1 + 82.6. What is the closest to -1/31 in u, -3, -4? u Let z = -194.5 - -195. Let g(x) = -x - 4. Let q be g(-6). Which is the nearest to q? (a) -0.4 (b) 2/13 (c) z c Let t(y) = y + 17. Let u(q) = q + 16. Let z(m) = 4*t(m) - 5*u(m). Let o be z(-14). What is the nearest to o in 2/5, 1/2, -3? 1/2 Let g = -5 + 8. Let w = -3.4 + g. Let l = 0.1455 - 1.1455. Which is the nearest to 1/3? (a) w (b) -4 (c) l a Let r = -98 - -104. Suppose -10*y = r*y - 32. What is the nearest to 0.1 in 2/7, y, -4/5? 2/7 Let r be -1 + 1 - (-6)/(-21). Let w = -487.7 - -482.7. What is the nearest to r in w, -1/5, 0.6? -1/5 Let n = -0.07 + 0.07. Let p = -14 + 13.2. Let t = -4.8 - p. Which is the closest to n? (a) -3 (b) t (c) 4/5 c Suppose 9*c = 2*f - 47, f = c + 3*c + 21. What is the closest to f in 5, 14, -2/9, -1/3? -2/9 Suppose -2*o = 4*w, 0 = -65*w + 60*w + 3*o + 11. Which is the closest to -7? (a) w (b) 3/2 (c) -2 (d) -0.4 c Let i(m) = m. Let z be i(0). Let b be -3 - (z - 18/7). Let s = 6 - 19/3. What is the closest to s in -5, b, 3/5? b Let r = -185.4 - -185. What is the nearest to -1/4 in r, -1/12, 0.4? r Let g = 663 + -11269/17. Which is the closest to -7/6? (a) -2/17 (b) 1/3 (c) g a Let v = 0.406 + -0.006. Which is the nearest to 2? (a) v (b) -1 (c) 0 a Let q = -903/4 - -226. Let a = 0 - -0.2. Let m = -0.1 + a. What is the closest to m in q, 1, 5/3? q Let x = 439.3 + -439. What is the nearest to x in -4, -5, -1.7? -1.7 Let k = -2657/7128 - 2/891. What is the nearest to k in 0, 2/3, 3, -1? 0 Let y(q) = q**3 - 8*q**2 - 7*q - 19. Let h be y(9). Which is the nearest to h? (a) 1 (b) 3 (c) -2/5 c Let h = 36 + -610/17. Let r = 647/3 - 216. What is the nearest to -7 in 2/11, r, h? r Let i = 459/2 - 229. Which is the closest to -1? (a) 0.073 (b) -1 (c) i b Let g = 143 + -144. What is the closest to g in 5, 6, 1? 1 Let o be 0 + -6 + (-2 - (-20)/5). Which is the closest to 18? (a) 3 (b) 2/9 (c) o a Let z = 0.26 + -0.315. Let x = 3.355 + z. Let t = x - 2.3. Which is the closest to t? (a) 0.2 (b) -5 (c) 4 a Let n = 0.3 - 1.3. Let j = 0.23 - -0.07. Let o = 5.32 - 5.12. Which is the closest to o? (a) 0 (b) n (c) j c Let o be 240/252 + 4/(-6). Which is the nearest to 1? (a) 0 (b) o (c) -2 b Let n = -224 + 227. Suppose -5*m + 27 - 377 = 0. Let w be n + m/12 + 3. Which is the closest to 0? (a) -0.1 (b) w (c) 0.3 a Let u = 16 + -10. Let q be u/(3/(-4)*-2). Let h be 14/8*-2 + q. Which is the nearest to h? (a) -1 (b) -5 (c) 0.5 c Let t = -24.8 - -26. Let d = t + -1. Let g be -1 + 1 - 1/(-2). Which is the closest to -2/7? (a) g (b) -3 (c) d c Let l = -4.2 - -3.2. Suppose n = -n - u - 2, 2*u = -3*n - 5. Which is the nearest to l? (a) 3/8 (b) n (c) 2 a Let o = -1/15 + 19/60. Let y = -2273 - -6818/3. Which is the closest to y? (a) 0.3 (b) 0 (c) o b Suppose 2*q = -5*k + 68, q + 15 + 5 = 2*k. Let y = -35 + 36. What is the closest to -1/2 in -1, y, k? -1 Let s = 1.02 + -1.52. What is the closest to -0.1 in 2, 2/7, s? 2/7 Let m be 8/52*5/(-5). What is the nearest to 1/3 in m, 17, -3/2? m Let x = -19.88 - -20. Let b = -0.18 + x. Let a = 0.36 + b. What is the nearest to -2 in 5/2, -1, a? -1 Let m = 4.086 + -0.086. Let h = m - 4.06. Which is the nearest to -0.1? (a) 0 (b) h (c) -4 b Let z be (22/99)/((-8)/6). What is the nearest to z in 3, -0.4, 2/3? -0.4 Let s = 3 + -6. Let d(l) = l**3 - 9*l**2 - 7*l - 4. Let u be d(10). Let m = -24 + u. Which is the nearest to m? (a) -2/9 (b) s (c) -1 a Let o = 243/190 + -3/38. Let x be (15/(-30))/(3/(-2)). Suppose -2*g - 4*f + 26 = 0, -2*f - 17 = -4*g - 5. Which is the closest to x? (a) g (b) -0.2 (c) o b Let o = -147 - -143.67. Let y = 0.17 - o. Let m = -4 + y. What is the closest to 0 in 3, 4, m? m Let u = -0.3 + 4.3. Suppose n = -2*n. Let k = 2/7 - -3/14. Which is the nearest to k? (a) 2 (b) n (c) u b Let x = -5/39 + -209/195. Let y = 107/5 - 953/45. What is the nearest to y in -1/4, -2/5, x? -1/4 Let t = -2 - -7. Let a = -0.655 + 0.645. What is the nearest to a in -4, t, -3? -3 Let n = -18.5 - -18. What is the closest to -1 in -2/71, n, 2/7? n Let d = -2.95 + -0.05. Let j be (15 + 171/(-12))/((-42)/32). What is the nearest to 0 in j, -5, d? j Let f = 55.8 + -62. Let l = -5.8 - f. Which is the closest to 1? (a) l (b) 22 (c) -0.1 a Let t = 0.09 - 0.49. Let n be (24/(-30))/(4/(-2) - 0). What is the closest to n in -0.02, t, -0.2? -0.02 Let s = -2.19 + 2. Let u = s - 2.81. Which is the nearest to -1/2? (a) 0.3 (b) u (c) -0.3 c Let g be 0 + ((-8)/9)/2. Let u = 904/1365 - -2/455. Which is the nearest to u? (a) g (b) -3 (c) 1 c Let j = -13 - -19. Let u = -8.961 + -0.039. Let q = u + j. Which is the closest to q? (a) 0 (b) -0.4 (c) -0.2 b Suppose 0*f - f = -8*f. What is the nearest to f in -3, 1/3, 1/7? 1/7 Let g = -1396 + 1393.5. Which is the nearest to g? (a) 3/2 (b) 2 (c) -2/3 c Let u = -11.3 - -8.3. Which is the closest to u? (a) -1/6 (b) -1/2 (c) -5 c Let h be -6*(3 + 33/(-9)). Suppose -4*u - 8 = 2*m, 0 = u - h*m - 1 + 3. Let x = -3.8 - -4. Which is the closest to 0.1? (a) x (b) 1 (c) u a Suppose 20 - 25 = -5*u. Let w be ((-52)/12 - -4)/(u/(-3)). What is the closest to w in -2, 0.1, 2? 0.1 Let y = -0.3 - -2.3. Let v = -4.12 - -3.62. What is the nearest to -7 in
{ "pile_set_name": "DM Mathematics" }
n denominator of -15/640696 and -17/673. 640696 What is the smallest common multiple of 322112 and 161056? 322112 Find the common denominator of -17/190 and -17/790. 15010 Calculate the smallest common multiple of 96 and 936. 3744 What is the lowest common multiple of 1760 and 47008? 2585440 Calculate the smallest common multiple of 342688 and 257016. 1028064 Find the common denominator of -109/985660 and -161/1182792. 5913960 What is the smallest common multiple of 32262 and 72? 387144 Calculate the common denominator of -23/1000 and 87/8. 1000 What is the common denominator of -61/238920 and 31/44? 238920 What is the smallest common multiple of 46480 and 60? 139440 Calculate the common denominator of -51/515120 and -7/566632. 5666320 Calculate the smallest common multiple of 377311 and 1303438. 14337818 Calculate the least common multiple of 2712 and 226. 2712 What is the common denominator of 13/26586 and 59/184? 2445912 Calculate the smallest common multiple of 5319 and 54. 10638 Calculate the common denominator of 11/808740 and -95/323496. 1617480 What is the smallest common multiple of 467856 and 1596? 3274992 Calculate the least common multiple of 61656 and 39636. 554904 Calculate the least common multiple of 18096 and 7395. 1538160 Calculate the common denominator of 59/580 and -64/12963. 259260 What is the smallest common multiple of 190 and 73910? 73910 What is the common denominator of -103/53892 and 89/107784? 107784 What is the smallest common multiple of 3260 and 2934? 29340 What is the smallest common multiple of 128 and 2344? 37504 Calculate the lowest common multiple of 14726 and 148. 29452 What is the least common multiple of 196 and 2478? 34692 Calculate the least common multiple of 260145 and 260145. 260145 Calculate the lowest common multiple of 275 and 2405. 132275 What is the lowest common multiple of 3312 and 368? 3312 What is the lowest common multiple of 751004 and 14? 5257028 Calculate the smallest common multiple of 28 and 21161. 84644 What is the common denominator of -73/48 and 1/13788? 55152 Calculate the least common multiple of 1889 and 1731. 3269859 What is the smallest common multiple of 1098 and 3843? 7686 Calculate the smallest common multiple of 1043 and 21. 3129 What is the common denominator of 73/33312 and -57/5552? 33312 What is the smallest common multiple of 3315 and 1105? 3315 Calculate the common denominator of 23/885 and -27/2360. 7080 Find the common denominator of -97/30 and -1/1872. 9360 What is the smallest common multiple of 75464 and 16? 150928 Calculate the smallest common multiple of 7802 and 1328. 62416 Calculate the smallest common multiple of 900229 and 163678. 1800458 What is the least common multiple of 4752 and 142560? 142560 Find the common denominator of 29/83232 and 73/552. 1914336 Calculate the common denominator of 65/4 and -85/172502. 345004 Find the common denominator of 13/475626 and -53/55956. 951252 What is the common denominator of -4/3358465 and -111/40? 26867720 What is the lowest common multiple of 59884 and 342972? 3772692 Calculate the smallest common multiple of 54142 and 322. 378994 What is the lowest common multiple of 207 and 8096? 72864 What is the least common multiple of 9651 and 9651? 9651 Calculate the least common multiple of 4239530 and 40. 16958120 Calculate the least common multiple of 108 and 23736. 213624 Find the common denominator of 49/12 and 101/980. 2940 What is the least common multiple of 23035 and 13685? 3708635 What is the common denominator of 73/4536 and 121/144? 9072 Calculate the common denominator of -23/50 and -38/55185. 551850 What is the least common multiple of 6 and 6765? 13530 Calculate the common denominator of -89/55760 and -33/1600. 1115200 What is the least common multiple of 606 and 3232? 9696 What is the smallest common multiple of 140 and 10906? 109060 What is the smallest common multiple of 10 and 120690? 120690 What is the least common multiple of 46593 and 90? 465930 Calculate the common denominator of -75/2054 and 46/325. 51350 What is the common denominator of 131/1960 and 139/2800? 19600 What is the common denominator of -59/148239 and 3/724? 592956 Calculate the smallest common multiple of 127686 and 39. 127686 Calculate the common denominator of -23/1066 and 40/23. 24518 Find the common denominator of -17/26 and -109/64714. 64714 What is the least common multiple of 5192 and 3894? 15576 What is the smallest common multiple of 21 and 9667? 29001 What is the common denominator of -35/1944 and 119/684? 36936 Calculate the least common multiple of 4 and 294281. 1177124 What is the smallest common multiple of 350 and 669? 234150 Calculate the least common multiple of 23 and 5474. 5474 Calculate the least common multiple of 1218 and 35757. 500598 Calculate the smallest common multiple of 2736 and 62586. 500688 Calculate the least common multiple of 5814 and 646. 5814 Find the common denominator of 37/119 and -33/289. 2023 Calculate the least common multiple of 45 and 202428. 1012140 What is the common denominator of -121/109640 and 109/120? 328920 Calculate the lowest common multiple of 1005 and 100. 20100 Calculate the lowest common multiple of 2211174 and 15042. 2211174 Calculate the lowest common multiple of 95634 and 478170. 478170 What is the smallest common multiple of 457990 and 1170? 4121910 What is the common denominator of -113/24 and -43/1059? 8472 Calculate the smallest common multiple of 2904 and 3630. 14520 Calculate the lowest common multiple of 376 and 89206. 356824 Calculate the least common multiple of 15010 and 201134. 1005670 Calculate the smallest common multiple of 58680 and 19560. 58680 What is the common denominator of 43/779 and 95/164? 3116 What is the common denominator of 95/52464 and 53/30? 262320 What is the lowest common multiple of 28371 and 7527? 368823 Calculate the least common multiple of 85280 and 3280. 85280 Calculate the lowest common multiple of 69590 and 10. 69590 Calculate the lowest common multiple of 7616 and 3648. 434112 Calculate the smallest common multiple of 11 and 62749. 690239 Calculate the smallest common multiple of 1862 and 26068. 26068 Calculate the least common multiple of 231 and 187143. 1310001 Calculate the least common multiple of 1608 and 7592. 1525992 What is the lowest common multiple of 35 and 423654? 2118270 Find the common denominator of -7/142398 and -47/6. 142398 What is the lowest common multiple of 316 and 347096? 27420584 What is the common denominator of -87/3008 and 45/5696? 267712 Calculate the common denominator of 53/2484 and -11/1512. 34776 Calculate the common denominator of 35/1009 and -32/11099. 11099 What is the least common multiple of 78 and 86949? 2260674 Calculate the common denominator of 97/700 and 151/1500. 10500 What is the smallest common multiple of 1523944 and 6248? 16763384 What is the least common multiple of 22 and 55470? 610170 Calculate the least common multiple of 124620 and 6. 124620 Calculate the smallest common multiple of 469044 and 162. 1407132 What is the lowest common multiple of 17542 and 8771? 17542 Calculate the lowest common multiple of 788229 and 262743. 788229 What is the common denominator of -31/5557 and 51/122254? 122254 Calculate the least common multiple of 2350 and 52170. 260850 What is the common denominator of 61/60 and 167/370500? 370500 What is the common denominator of 119/20 and 71/1126300? 1126300 Find the common denominator of -45/386 and -67/15886. 3065998 Calculate the common denominator of -137/19620 and -1/720054. 7200540 What is the common denominator of 5/27728 and -69/880? 1525040 Find the common denominator of -139/7986 and 79/242. 7986 Calculate the common denominator of 19/69165 and 46/115275. 345825 Find the common denominator of -89/29016 and -203/2340. 145080 What is the least common multiple of 715 and 9155? 1309165 Find the common denominator of 91/540 and -23/1620. 1620 Calculate the common denominator of -43/18054 and 31/2478. 126378 What is the least common multiple of 1800 and 61080? 916200 What is the least common multiple of 42 and 21? 42 What is the least common multiple of 163056 and 559? 2119728 Calculate the common denominator of 61/82088 and 1/44. 902968 Calculate the lea
{ "pile_set_name": "DM Mathematics" }
-200. 23/200 Divide -59 by -16. 59/16 362 divided by -1 -362 -12814 divided by 6407 -2 What is 52 divided by 4? 13 2149 divided by -6 -2149/6 Divide 123 by 1. 123 -326 divided by 5 -326/5 212 divided by 3 212/3 Divide -6402 by 3. -2134 -204 divided by -6 34 Calculate -32 divided by -4. 8 Divide 592 by -4. -148 -83 divided by -1 83 Calculate 2598 divided by 866. 3 What is -3388 divided by -154? 22 Calculate -1021 divided by -5. 1021/5 Divide -4 by 736. -1/184 What is 6318 divided by -9? -702 What is -117 divided by -39? 3 What is -9 divided by 3389? -9/3389 2806 divided by -46 -61 Divide -335 by 51. -335/51 Calculate -1023 divided by -1. 1023 -555 divided by 555 -1 What is -4 divided by -136? 1/34 1031 divided by 5 1031/5 11740 divided by 4 2935 Divide -3 by -71. 3/71 What is 2215 divided by 5? 443 What is -224 divided by 56? -4 Calculate 3 divided by 60. 1/20 What is 560 divided by 16? 35 Divide 15312 by 638. 24 Divide -5 by 110. -1/22 What is -85 divided by -3? 85/3 Divide -15 by -5. 3 Calculate -12 divided by -20. 3/5 Calculate -1190 divided by -3. 1190/3 Divide -1960 by 4. -490 Divide -1200 by -8. 150 Divide -1220 by -4. 305 What is 0 divided by -55? 0 Divide -2120 by 424. -5 What is 3 divided by -54? -1/18 Calculate -3454 divided by -157. 22 -3498 divided by -2 1749 Divide 7284 by 6. 1214 Divide 569 by 3. 569/3 Divide -164 by -2. 82 Divide 44 by 11. 4 Divide -2483 by -6. 2483/6 What is 108 divided by -54? -2 What is 126 divided by 11? 126/11 -4424 divided by 2212 -2 What is 24 divided by 6? 4 Divide -2 by 2741. -2/2741 -361 divided by 19 -19 What is 44 divided by -1? -44 Divide -2850 by -15. 190 92 divided by -1 -92 What is 8424 divided by -4? -2106 Divide -4 by -17. 4/17 Calculate 49 divided by 3. 49/3 What is 337 divided by 2? 337/2 369 divided by -41 -9 Calculate 0 divided by 6. 0 Calculate -808 divided by 2. -404 Calculate 3 divided by 954. 1/318 -5093 divided by 1 -5093 What is -658 divided by -2? 329 Calculate -4 divided by 2. -2 61 divided by 32 61/32 Calculate -75 divided by 18. -25/6 Divide 1166 by -1166. -1 -1044 divided by -58 18 Divide 290 by -85. -58/17 Divide -32 by 2. -16 -23948 divided by 4 -5987 Divide 810 by 10. 81 Divide -6387 by -1. 6387 Calculate -5 divided by 2216. -5/2216 Calculate -352 divided by -4. 88 Divide 5 by 45. 1/9 Calculate -1 divided by -16. 1/16 Divide -99 by -1. 99 Divide -22 by -4. 11/2 Divide -9 by 9. -1 Divide 4 by 53. 4/53 264 divided by 8 33 Calculate 64 divided by -5. -64/5 What is 21 divided by 5? 21/5 Divide -6018 by -6. 1003 What is 158 divided by 1? 158 What is -738 divided by -9? 82 What is -3 divided by 4? -3/4 Calculate -62 divided by -3. 62/3 Calculate 4 divided by -757. -4/757 Divide 134 by -67. -2 What is -648 divided by -324? 2 What is 104 divided by -26? -4 Divide 7 by -42. -1/6 Divide 3 by 161. 3/161 -6 divided by 102 -1/17 Calculate -7960 divided by -796. 10 Divide -2590 by -4. 1295/2 Calculate 17538 divided by -3. -5846 What is 6 divided by -17? -6/17 Divide -6655 by 1331. -5 Divide -96 by -10. 48/5 What is 14 divided by 29? 14/29 Calculate 5 divided by -20. -1/4 Divide 143 by -13. -11 Divide -1080 by -10. 108 Calculate 4200 divided by 20. 210 Divide -3 by -17. 3/17 Divide 811 by 11. 811/11 What is 1584 divided by -10? -792/5 Divide 790 by 158. 5 What is 1 divided by 123? 1/123 Divide 70 by -35. -2 -76 divided by -2 38 What is 3484 divided by 871? 4 Calculate 278 divided by -2. -139 -46 divided by 12 -23/6 Calculate 316 divided by 23. 316/23 Divide -7 by 4. -7/4 -5978 divided by -14 427 Divide -170 by 2. -85 What is -12420 divided by 345? -36 -2236 divided by 4 -559 Divide -1776 by 4. -444 What is -868 divided by 28? -31 Divide -210 by 3. -70 Divide -848 by 212. -4 What is 4419 divided by 2? 4419/2 What is 0 divided by -23? 0 What is 756 divided by 42? 18 Divide -358 by 2. -179 18334 divided by 9167 2 -16606 divided by -19 874 What is 14 divided by 88? 7/44 What is -7 divided by 34? -7/34 -26 divided by 28 -13/14 What is 0 divided by -87? 0 What is 39235 divided by 5? 7847 Calculate 5 divided by -1. -5 105 divided by -15 -7 Calculate -1014 divided by 78. -13 -11 divided by 11 -1 Calculate -162 divided by -3. 54 Calculate -2 divided by 416. -1/208 Calculate 34437 divided by -3. -11479 Calculate -2450 divided by -25. 98 Calculate -8 divided by -6. 4/3 Calculate -1683 divided by 99. -17 Calculate 4296 divided by -1. -4296 What is 494 divided by -6? -247/3 -2375 divided by -5 475 Calculate 138 divided by 2. 69 What is -52 divided by -5? 52/5 Calculate -619 divided by -6. 619/6 -21876 divided by 6 -3646 What is -1771 divided by 1? -1771 Divide -99 by -7. 99/7 -37 divided by 18 -37/18 What is -230 divided by -46? 5 What is 475 divided by -4? -475/4 Divide -89 by -11. 89/11 What is 10719 divided by 3? 3573 3 divided by -38 -3/38 Calculate 180 divided by 15. 12 What is 5 divided by -62? -5/62 Calculate 443 divided by 1. 443 Calculate -28 divided by 4. -7 Calculate -60 divided by -353. 60/353 Divide 7296 by 608. 12 Calculate 0 divided by 1302. 0 What is 377 divided by 8? 377/8 What is -407 divided by 6? -407/6 What is -389 divided by 8? -389/8 Calculate -162 divided by 6. -27 4 divided by 144 1/36 15000 divided by -375 -40 Divide 2 by 56. 1/28 What is 7 divided by 981? 7/981 1 divided by -205 -1/205 252 divided by -7 -36 What is -1 divided by 343? -1/343 3036 divided by 6 506 Divide 110 by -1. -110 What is -2 divided by -380? 1/190 Calculate 22 divided by 2. 11 Divide 562 by 6. 281/3 -188 divided by -94 2 What is -22282 divided by 1714? -13 What is 190 divided by 2? 95 Divide 900 by 3. 300 2 divided by -2913 -2/2913 -5 divided by 3524 -5/3524 Divide 321 by -107. -3 Divide -7 by -103. 7/103 What is 16 divided by -6? -8/3 -8512 divided by -266 32 What is -6 divided by 1380? -1/230 What is -97 divided by 236? -97/236 Calculate -10 divided by 355. -2/71 1725 divided by 69 25 Divide 0 by 63. 0 What is 760 divided by 1? 760 Calculate 10127 divided by -41. -247 Divide 836 by -209. -4 Divide -19270 by -5. 3854 What is -7 divided by 165? -7/165 What is -69 divided by -11? 69/11 Calculate -102 divided by 6. -17 What is -3657 divided by 1? -3657 -216 divided by 1 -216 What is 2546 divided by 134? 19 Divide -32 by -4. 8 What is 3 divided by -136? -3/136 Calculate -124 divided by 2. -62 Calculate 7 divided by 72. 7/72 Calculate -2 divided by -111. 2/111 5352 divided by 446 12 -139 divided by 1 -139 -2808 divided by 6 -468 What is -45 divided by 9? -5 What is -86 divided by 33? -86/33 -351 divided by -7 351/7 Divide -206 by -103. 2 Divide -3420 by -180. 19 -40 divided by -3 40/3 Calculate -111 divided by 13. -111/13 What is 45 divided by 9? 5 Calculate -3 divided by -80. 3/80 -38710 divided by 35 -1106 What is -6 divided by 671? -6/671 Calculate 160 divided by 5. 32 909 divided by 1 909 -370 divided by -7 370/7 What is -6 divided by 24? -1/4 3 divided by 398 3/398 Calculate 0 divided by -119. 0 Calculate 20 divided by 1. 20 -4 divided by 140 -1/35 Divide 14 by -803. -14/803 24 divided by 8 3 Calculate -536 divided by 12. -134/3 What is 2 divided by 3178? 1/1589 What is -1737 divided by 11? -1737/11 What is -6675 divided by -5? 1335 -14 divided by 22 -7/11 6438 divided by 6438 1 Divide 16 by -2. -8 -5 divided by 987 -5/987 -368 divided by -16 23 Calculate 5 divided by 1601. 5/1601 Divide -1080 by 6. -180 Calculate 65 divided by -1. -65 -3 divided by -2401 3/2401 What is 4131 divided by 81? 51 -2 divided by 13 -2/13 Calculate 4 divided by 32. 1/8 Calculate -900 divided by 9. -100 Divide -18212 by 5. -18212/5 What is 70 divided by 19? 70/19 Calculate -6153 divided by 21. -293 Calculate 18610 divided by -3722. -5 Divide 10 by -10. -1 Divide 216 by -27. -8 What is -3479 divided by 49? -71 -2000 divided by 5 -400 -16566 divided by 1506 -11 Divide 6020 by 4. 1505 Divide -1152 by 576. -2 Divide -41 by -3. 41/3 What is -187 divided by 6? -187/6 -2 divided by 434 -1/217 Calculate 10617 divided by 1. 10617 Divide -3620 by -5. 724 Divide -7 by 23. -7/23 What is 87 divided by -3? -29 Calculate 237 divided by -4. -237/4 Calculate 1080 divided by -24. -45 -36 divided by 8 -9/2 Calculate 49 divided by 47. 49/47 What is 64 divided by 64? 1 What is 28 divided by 138? 14/69 -5 divided by 699 -5/699 What is 192 divided
{ "pile_set_name": "DM Mathematics" }
second derivative of 55671*a**5*c - 2*a**2*c*t + 156*a**2*t - a*c - 3*a*t - 4*a - 2*c*t - 40*c + 9471*t wrt a. 1113420*a**3*c - 4*c*t + 312*t What is the third derivative of -416242026*o**2*z**3 + 109*o**2*z + 2*o*z**2 - 46544*z**2 wrt z? -2497452156*o**2 What is the third derivative of -113808763*r**4 + 77200*r**2 + 8*r - 15 wrt r? -2731410312*r Find the third derivative of 135*c*z**3 + 478*c*z**2 + c*z - 35018*z**3 - 4*z + 629 wrt z. 810*c - 210108 Find the first derivative of -23192170*a*l - 2*l - 6975640 wrt a. -23192170*l What is the derivative of 17300629*l**4 + 25080699 wrt l? 69202516*l**3 Find the first derivative of -2*l**3 + 1658870*l**2 - l + 184801356 wrt l. -6*l**2 + 3317740*l - 1 Differentiate 797972*n**4 + 7*n**2*y - 57335*y - 10 wrt n. 3191888*n**3 + 14*n*y What is the first derivative of 32961*n**2*q*u + 4*n*u**2 - 4*n*u - 2*n - 11118*q*u**2 + 106*q*u wrt n? 65922*n*q*u + 4*u**2 - 4*u - 2 Find the third derivative of 12136280*d**3 - 16*d**2 - 562621*d wrt d. 72817680 Differentiate -490498945*o**2 + 302119216. -980997890*o Find the first derivative of 105085053*z + 84042015. 105085053 Find the third derivative of -314*c*h**3 + 25693*c*h**2 + 21*c*h - c - 3468*h**3 - h wrt h. -1884*c - 20808 Find the second derivative of -28821384*c*z**2 + 5*c*z + 2*z**2 + 2685277*z wrt z. -57642768*c + 4 Find the first derivative of -6*h**2 + 2344672*h - 17612627. -12*h + 2344672 Find the first derivative of -3*b**2 + 10507887*b - 4294293. -6*b + 10507887 What is the derivative of 28627*n*o**2 - 185*n*o + 1884*n - 2623 wrt o? 57254*n*o - 185*n Find the third derivative of -3686764*j**4 - 2*j**2 + 10210*j - 11. -88482336*j Find the second derivative of -232341*r**3 - 239*r**2 + 879623643*r. -1394046*r - 478 What is the derivative of -25143231*t**3*u + 2*t**3 + 32842*t**2 + 25*t + 4 wrt u? -25143231*t**3 What is the third derivative of 613240*s**5*y**2 + 3*s**4*y**3 - 388*s**2*y**3 - s**2*y**2 - 3*s**2*y - 11*s*y**3 - 45*y**3 wrt s? 36794400*s**2*y**2 + 72*s*y**3 What is the first derivative of 1247989*l**2 + 6542698? 2495978*l Find the second derivative of -45244675*l**3 - 87499391*l. -271468050*l What is the first derivative of 3076*t**3 + 1227*t**2 + 23514647? 9228*t**2 + 2454*t What is the derivative of -397410068*t - 38252356 wrt t? -397410068 Find the second derivative of 448*a**4 + 670*a**3 + 25*a**2 - 58918568*a wrt a. 5376*a**2 + 4020*a + 50 What is the first derivative of 4363052*y + 310957 wrt y? 4363052 Differentiate 2960*d*f**2*h - 2*d*h**2 + 333*d*h*m - 257*f**2*h**2*m + 8*f**2*h + 7*f**2*m - 250*f*h**2 wrt d. 2960*f**2*h - 2*h**2 + 333*h*m What is the first derivative of a*f**2 + a*f*j*x + 2*a*j*x + 1679171*f**2*j - 4934*f**2*x - 13*f*x wrt j? a*f*x + 2*a*x + 1679171*f**2 Differentiate -1294*c*o*p + 459074*c*o - 10*c*p + 18*c + o*p + 84*p wrt p. -1294*c*o - 10*c + o + 84 Differentiate 237456408*o - 699532587 with respect to o. 237456408 What is the third derivative of -11583379*g**5 + 21703001*g**2 - 2? -695002740*g**2 Find the first derivative of -13*j*p**2 - 15*j*p - 2246*j - 14746*p**3 + 93928 wrt p. -26*j*p - 15*j - 44238*p**2 Find the third derivative of -34786*k**4 + 6026*k**3 + 100817506*k**2 - 2*k wrt k. -834864*k + 36156 Differentiate 4730079*i**2 + 3*i + 67316107 with respect to i. 9460158*i + 3 Find the first derivative of -6433*d*g**2*t + 689*d*g**2 - 59*d*g*t + 5*d*g - 10*d*t + 57*d + 3*g**2 + 7*g + 1 wrt t. -6433*d*g**2 - 59*d*g - 10*d Find the third derivative of -4040*s**4 + 482*s**3 + 3*s**2 - 218*s - 4297 wrt s. -96960*s + 2892 What is the derivative of 767891*n**2 - 14*n*y + 169242928*y wrt n? 1535782*n - 14*y Find the second derivative of 165002389*q**4 + 772712469*q wrt q. 1980028668*q**2 Find the third derivative of 48746*i**3*o - 619*i**3 - 3*i**2*o + 199*i**2 + 3*i*o - i + 947*o - 4 wrt i. 292476*o - 3714 Differentiate 207*v**4*x**2 - 38402*v**4 - 322504*x**2 - x with respect to v. 828*v**3*x**2 - 153608*v**3 Find the second derivative of -89*i**3*q**3 + 1517*i**3*q - 78*i*q**3 - 2*i*q + 13390*i - q**3 wrt i. -534*i*q**3 + 9102*i*q What is the third derivative of -19286*t**6 - 11662*t**5 + 18*t**2 + 396404*t? -2314320*t**3 - 699720*t**2 Differentiate -229122282*v + 399327161 with respect to v. -229122282 What is the first derivative of -349851363*g**3 - 173371507 wrt g? -1049554089*g**2 What is the derivative of -17983*a**3 + 1898*a - 237723677 wrt a? -53949*a**2 + 1898 Differentiate 23*p**3*t**3 - 313374*p**3*t**2 + 294065*p**3 + 2*p**2 + p - 149 with respect to t. 69*p**3*t**2 - 626748*p**3*t What is the derivative of 17670*i**2*m - 17000922*i**2 - i*m**2 + 43*m**2 wrt m? 17670*i**2 - 2*i*m + 86*m What is the second derivative of 17581154*f**2*y - 49696*f*y + 31*f wrt f? 35162308*y Find the third derivative of -110923758*o**3*u + 2*o**2*u - 812*o**2 + 2*o*u + 7*o + 2*u + 134 wrt o. -665542548*u Find the second derivative of 87*l**4*p - 332469*l**3*p**2 + l*p**2 - 459156*p**2 - p wrt l. 1044*l**2*p - 1994814*l*p**2 What is the third derivative of 2*q**6 - 7*q**5 - 22512*q**3 - 8616022*q**2? 240*q**3 - 420*q**2 - 135072 Find the second derivative of 3887*k**4 + 122*k**3 + 6868*k + 540. 46644*k**2 + 732*k What is the second derivative of -11961*b**3*s**2 + 89*b**3*s - b**3 + 1942*b*s**2 - b*s + 20*s - 206 wrt s? -23922*b**3 + 3884*b What is the second derivative of 44254821*c**2 + 12*c - 1382024? 88509642 Find the third derivative of -3805*u**5 - u**4 + 117*u**3 - 6*u**2 - 316343 wrt u. -228300*u**2 - 24*u + 702 Find the third derivative of 2*x**6 - 27722632*x**5 - 1364732*x**2 - 11*x. 240*x**3 - 1663357920*x**2 What is the second derivative of -46532640*z**4 + 54646369*z? -558391680*z**2 What is the first derivative of 8141871*f**3 + 3504920 wrt f? 24425613*f**2 What is the first derivative of -2*y**4 - 30*y**3 - 35*y**2 - 24*y + 7422290? -8*y**3 - 90*y**2 - 70*y - 24 Find the third derivative of -2*z**5 + 3*z**4 + 56593807*z**3 - 117*z**2 - 3*z + 6876 wrt z. -120*z**2 + 72*z + 339562842 What is the first derivative of 4*c*h*v**2 + 26075132*c*h*v + c*v**2 + 576*c*v + 112*v**2 - 61 wrt h? 4*c*v**2 + 26075132*c*v Differentiate 58434316*b*v + 20737*b - 421 with respect to v. 58434316*b What is the first derivative of -23965868*z - 29729583 wrt z? -23965868 What is the second derivative of -6149*i**3*w - 14919*i**3 - 28*i - 2*w - 2371880 wrt i? -36894*i*w - 89514*i What is the third derivative of -1780862*k**6 + 7085587*k**2? -213703440*k**3 What is the third derivative of -387534*f**6 + 12*f**3 - 121983*f**2 + 8*f wrt f? -46504080*f**3 + 72 Differentiate -777*a**2*i**2 - a**2*i + 820*a**2 - 16345*i**2 + 9196 with respect to i. -1554*a**2*i - a**2 - 32690*i Find the second derivative of -286833*u**5 - 4*u**4 - 22559013*u. -5736660*u**3 - 48*u**2 Find the third derivative of -11270296*u**5 + 7*u**2 - 640092*u. -676217760*u**2 What is the third derivative of -265733365*i**3 - 225*i**2 - 2*i + 79095 wrt i? -1594400190 Find the third derivative of 6449600*a**6 + 35015836*a**2. 773952000*a**3 What is the second derivative of -13*f*m**2 - 2*f*m + 477582*m**2 + 74*m + 351 wrt m? -26*f + 955164 Find the third derivative of -210115681*l**2*r**3 - 15*l**2*r**2 - l*r**2 - 8*l - 580066*r wrt r. -1260694086*l**2 Differentiate b**2*p - 1508560*b**2 + b*p - 15190829*p with respect to b. 2*b*p - 3017120*b + p Find the third derivative of 154364372*i**3 - 1017799762*i**2 wrt i. 926186232 Find the first derivative of -1449488*s**3 - 8*s**2 - 104196672. -4348464*s**2 - 16*s Differentiate 2*l**4 - 559*l**3 + 174*l**2 - 64299877 with respect to l. 8*l**3 - 1677*l**2 + 348*l What is the third derivative of -56753028*h**3 + 67294102*h**2 wrt h? -340518168 What is the second derivative of 1102*r**3 + 2000*r**2 + 4355252*r? 6612*r + 4000 What is the derivative of -43094*k**2*v**3 - 1016*k**2*v + 371*v**3 - 5*v**2 - 3734*v wrt k? -86188*k*v**3 - 2032*k*v Differentiate -7*g**2*o**2 + 11863211*g**2 + 59*g*o**4 - 21*g*o wrt o. -14*g**2*o + 236*g*o**3 - 21*g What is the derivative of 455405695*m + 485431061? 455405695 What is the second derivative of 8115063*p**2 - 1331807*p wrt p? 16230126 What is the third derivative of 435*o**5 - 47343*o**3 - 99078785*o**2 wrt o? 26100*o**2 - 284058 Differentiate 8079127*g**2 + 8*g + 769720626. 161
{ "pile_set_name": "DM Mathematics" }
and give i. -21 Express ((6*s + 13 - 13)*(-2 + 5 - 1) + 3*s - 5*s - 2*s)*(-7*s**2 + 3*s**2 + 2*s**2) + 0 + s**3 + 0 in the form n*s**2 + v*s + d + p*s**3 and give n. 0 Express (-2 + 1 - 4)*(3*n - n + 0*n)*(-2*n + 0*n - n) as p*n + w*n**2 + v and give w. 30 Express (-4 + 4 + 1)*(i**4 + 2*i**4 - 4*i**4) + i**4 - 5*i**4 + 2*i**4 + 94 - 12*i**4 - 94 as g*i**4 + r + d*i**2 + x*i**3 + l*i and give g. -15 Rearrange 4*o**4 - 2*o**4 + 12*o**2 - 18*o**3 - 3*o - 10*o**2 to the form n + w*o**3 + f*o**4 + r*o + g*o**2 and give g. 2 Rearrange (3 - 3 + 2*t)*(1 + 0 + 1)*(-3 + 3 + 2)*(-3*t - 4*t + 2*t) to c*t + w + q*t**2 and give c. 0 Rearrange -i - 3*i + 0*i + (3*i + i - 2*i)*(1 + 2 - 4) to the form u*i + f and give u. -6 Express 15*k - 12 + 20*k + 12 as d + r*k and give r. 35 Rearrange 1 - 5*r - 6*r + 10*r to p + o*r and give p. 1 Express -2 - a**3 - 5*a**2 + a**3 + 0 + a + a**4 as c*a**2 + n*a + k + p*a**3 + z*a**4 and give z. 1 Rearrange -207*h + 24 + 418*h - 209*h + 14 to the form t + o*h and give o. 2 Rearrange 5*u - 3*u + 6*u to the form l + w*u and give w. 8 Rearrange (1 + d - 1)*(d + 3*d - 3*d) + 17 - 13 - 7 + d**2 to x*d**2 + z*d + l and give x. 2 Rearrange 7*k - 8*k**3 - 5 + 3 + 2*k**3 - 9*k - 2*k**2 to the form u + q*k + a*k**3 + m*k**2 and give q. -2 Rearrange -1 + 558*g + 2 - 562*g + (0 + 0 + g)*(1 - 4 + 2) to the form q + b*g and give b. -5 Express 18*o**4 - 1 - 22*o**4 + 4 - o**2 as s + f*o**2 + g*o**4 + p*o**3 + j*o and give g. -4 Express (5*n**2 - 1292 + 1292)*(-1 - 4 + 4) in the form c*n + h + o*n**2 and give o. -5 Rearrange (4 - 4 - 4)*(5*z + z - 2*z) to the form q*z + a and give q. -16 Express 5*i**2 + 9*i**2 + i - i in the form o*i + w + v*i**2 and give v. 14 Express -28*q**2 - 2*q**4 - q - 13*q**3 + 13*q**3 as x*q + a + u*q**4 + f*q**2 + d*q**3 and give x. -1 Express (-1 + 21*u + 1)*(2*u**3 - 3 + 3*u + 3) as t*u**3 + d*u + y*u**2 + p + n*u**4 and give y. 63 Express 34*a - 6*a + 81*a + 83*a as x + w*a and give w. 192 Rearrange -2*o - 2*o + 5*o + (6 + 0 - 4)*(-4*o + 4*o + 2*o) + 3*o + 0*o - 2*o + 2*o - 4*o + 0*o + o - o + o - 2*o - 3 + o + 0*o to i*o + n and give i. 4 Rearrange -11*c**2 + 5*c**2 - 1 - 7 + 5*c**2 to the form d + p*c**2 + z*c and give d. -8 Rearrange t - 2 + 30*t**4 - 33*t**4 - 3*t - 2*t**2 + 3*t**2 to f*t**2 + i*t**3 + c + h*t**4 + z*t and give f. 1 Express 5 + 5 + r**3 - 3*r - 21 + 13 in the form j + d*r + x*r**3 + o*r**2 and give o. 0 Express -o**2 + 5*o**2 - 3*o**2 + 2*o as r + t*o**2 + g*o and give t. 1 Rearrange 45*s - 1 - 14*s + 1 to the form l + x*s and give x. 31 Rearrange -7*c**3 + 30*c**4 + 17*c**4 - 35*c**4 + (c**3 - 2*c**3 + 4*c**3)*(-3*c - 3*c + 4*c) to the form h*c**4 + g + x*c**2 + m*c**3 + z*c and give h. 6 Express -3*q - 7*q - 5*q in the form w + t*q and give t. -15 Express (2*p + 2 - 2)*(2*p**2 + 2*p**2 - 3*p**2) + 2*p**3 + 1 - 1 - 124*p**3 + 19*p**3 - 51*p**3 in the form n + a*p + h*p**2 + r*p**3 and give r. -152 Express (-39 + 2*y + 46 + y)*(y + 3*y - 2*y) in the form m*y + z*y**2 + o and give m. 14 Rearrange -20*w - 13 + 13 to the form l + s*w and give s. -20 Express (m**3 - m**4 - m**3)*(1 - 1 + 1) - 1 - 2*m**4 - 25*m**2 - 3*m + 10*m**2 + 11*m**2 in the form v + z*m**4 + u*m**2 + t*m**3 + l*m and give v. -1 Rearrange 7*p + 17*p + 4 - 2 to i + d*p and give d. 24 Rearrange -2 - 2*y**2 + y + 2*y**4 + 2 + y**4 to the form x*y**3 + b + n*y**2 + t*y**4 + d*y and give d. 1 Express -t**2 + 8 - 1 - 1 - 2 - 2*t**3 in the form s + v*t + l*t**2 + k*t**3 and give s. 4 Rearrange -2 + 0*h**4 + 2*h**4 - 2*h - 5*h**4 - h**2 to the form x*h**4 + j*h**3 + z + f*h + g*h**2 and give j. 0 Rearrange -v**4 - 1 + 2 + 0*v**3 + 2*v - v**2 - 2*v**3 + 0*v**4 to i + k*v + h*v**2 + l*v**4 + c*v**3 and give c. -2 Express (4*l**3 - 3*l**3 - 2*l**3)*(5 - l + 2*l - 3) as m*l**3 + t + n*l + x*l**2 + s*l**4 and give s. -1 Express (-7 + 26 + 10)*(4*r + 6 - 6)*(-5 + 5 - 2) in the form i*r + c and give i. -232 Express 7*b + 2*b**2 - 7*b**2 - 5*b**3 + 12*b**2 - 6*b**2 in the form h*b**2 + t*b + c + a*b**3 and give t. 7 Rearrange -2*h**2 + 3 - 16 + 5*h - h**3 + 3 + 8 + 2*h**4 to y*h**2 + w*h**3 + m*h + f*h**4 + n and give f. 2 Express (w**2 + 2*w - 2*w)*((w - 3*w + w)*(-w + 2*w + 6*w) + 4 - 4 + 2*w**2 + (0 + w + 0)*(2*w + w - 4*w)) as q*w + x*w**3 + n*w**2 + i*w**4 + t and give i. -6 Rearrange -m**3 + 5*m**3 - 12*m - 6*m**2 - 5*m**3 + 4*m**2 to h + i*m**3 + w*m**2 + y*m and give y. -12 Rearrange 15*z + 5*z + 17*z to the form x + b*z and give b. 37 Rearrange 4*d - d - 62*d - 13*d + 2*d**2 to c + w*d**2 + x*d and give w. 2 Rearrange -m + 0 + 0 + (-2 - 3*m + 2)*(4 - 5 + 2) - 2*m + 3*m + 2 + 0 to the form h*m + c and give h. -3 Rearrange -2*v**2 + v**2 - 8*v**2 + 4*v**2 to the form h*v + k + t*v**2 and give h. 0 Express (-o + o + o)*(0 + 0 - 2*o**2)*(o - 5*o + 5*o) in the form p*o**3 + j + v*o**4 + q*o + z*o**2 and give v. -2 Rearrange -t**3 + 4*t**3 + 0*t**3 + (-t + 3*t - 4*t)*(-2*t - 3*t**2 + 2*t) - 5*t**3 + 3*t**3 + 0*t**3 to the form m*t + u + a*t**2 + g*t**3 and give g. 7 Express 8 + 38*o - 8 as d*o + s and give d. 38 Express (p - 3*p + 0*p)*(177*p**2 - 62*p**2 + 12*p**2) in the form s*p**3 + u*p**2 + d + n*p and give s. -254 Rearrange -26 + 18*c**2 + 26 - 3*c**2 + c to t + l*c**2 + r*c and give l. 15 Rearrange -140 + 140 + 92*u to w*u + i and give w. 92 Express 17*d**2 + 7*d**2 + 11*d**2 as r*d + g*d**2 + t and give g. 35 Rearrange -2 + 2*r**3 - 10*r**2 + 8*r**4 - r + 0*r**2 + 0*r**3 + 12*r**2 to the form y*r**3 + x*r**4 + g*r**2 + q + l*r and give g. 2 Rearrange (1 + 0 + 0)*(-3 - 2 + 2)*(2*b - 4*b + b) to u + f*b and give f. 3 Express 5*h**2 + 6*h**2 - 6*h**2 in the form p*h + f + u*h**2 and give u. 5 Rearrange (-s + 3 - 4 - 2*s)*(-1 + 1 + 3) + 16*s - 9*s - 6*s - 4 to k + a*s and give a. -8 Rearrange (-i + 2 - 2)*(-1 + 2 + 0) + 0 - 2*i + 0 - 17*i + 18 - 18 to f*i + g and give f. -20 Express -2 - 5 - 11*t + 16*t as j*t + b and give j. 5 Express (-2*n + 2*n - n)*(-5 + 2 + 4)*(-6134 + 159*n + 6134) in the form h + b*n + w*n**2 and give w. -159 Express 18*u - 7 + 3 + 6 - 2*u as d*u + j and give j. 2 Express 3*w**3 - 3*w - 5*w**3 - 4*w**2 + w + w in the form l + o*w**3 + r*w**2 + a*w and give r. -4 Express -38*k + 67 - 67 as g + p*k and give p. -38 Rearrange (2*p + 0*p - 3*p)*(8 + 7*p - 7 + 5*p)*(-3*p - 2*p + 3*p) to the form s*p**3 + w*p + q + k*p**2 and give s. 24 Express r + 4*r - 2*r + (-2 + 2 + 2)*(r + 0*r - 5*r) + 0*r + 2*r - r as v + a*r and give a. -4 Express -18*s**2 + 2*s**2 - 8*s**2 in the form n*s + q*s**2 + v and give q. -24 Express (-o - 2*o**3 + o + (o + 3*o - 8*o)*(-3*o**2 + 4*o**2 + 0*o**2))*(2 + 2*o - 2) as m*o + v*o**2 + n*o**4 + q + i*o**3 and give n. -12 Rearrange -t + 3*t - 22*t - 9*t to the form a*t + d and give a. -29 Rearrange -2*i - 3*i + 3*i + (4 - 4 - i)*(2 + 0 - 1) to n + a*i and give a. -3 Express 9 + 43*i + 2*i**3 + 0*i**4 - 2*i**4 - 3*i**3 - 41*i in the form b*i**3 + a*i**4 + c + j*i + z*i**2 and give b. -1 Express 16*d**4 + d**2 - 3*d**2 - 11*d**4 - d + 19*d**4 as b*d**3 + f + w*d**2 + u*d + i*d**4 and give u. -1 Rearrange -7 + 4 + 2 + 2*q - 2*q + 5*q - 2*q + 2*q + q - 2*q + (-q + 3*q - 4*q)*(-1 + 2 - 3) - 2*q - q - 4*q to z*q + i and give i. -1 Express 3*n**2 + 2*n**2 - 4*n**2 + (n + 5*n - 5*n)*(-3*n + 5*n - 4*n) + (-1 + 1 + n)*(0*n - n + 3*n) in the form c + q*n + k*n**2 and give k. 1 Express 2*s**3 + 40*s**2 - 5 - 76*s**2 + 3*s + 39*s**2 - s as v*s**3 + r*s + z*s**2 + o and give r. 2 Rearrange (4*a + 0*a + 0*a)*(-2*a + 7 + a - a**2 - 4) to the form m + z*a**3 + r*a + c*a**2 and give m. 0 Rearrange 13 + 8 - 135*i - 21 to the form g*i + h and give g. -135 Rearrange 25*p + 109 - 109 to s + v*p and give v. 25 Express (5 - 4 + 2)*(-3 - 1 + 2)*(5*l - 2 + 2) as i*l + f and give i. -30 Rearrange -39*k**2 - 36*k - 35*k**2 + 76*k**2 to r*k**2 + p + n*k and give r. 2 Express 9 - 3*k - 9*k - 9 as a + h*k and give a. 0 Express (-1 + 0 + 0)*(3*j + j - 2*j - j - 2*j + j - j + 4*j + 0*j + (-4 - 3 + 5)*(-j - j + 0*j)) as n + c*j and give c. -7 Rearrange (-8*j - 7*j + 6*j)*(2 - 2*j - 2 + (-2*j + 0 + 0)*(-1 - 2 + 4) - 2*j + 3*j + j) to the form d + y*j + i*j**2 and give d. 0 Rearrange (-1 + 0 - 1)*(-9*x**3 + 6*x**3 - 9*x**3) to the form d + m*x**2 + b*x**3 + o*x and give b. 24 Express -2*k**3 - 4*k**2 + 12*k**3 + 4*k**2 -
{ "pile_set_name": "DM Mathematics" }
ive prob of picking 1 b and 1 a. 8/55 What is prob of picking 2 h when two letters picked without replacement from hhhjjj? 1/5 Two letters picked without replacement from {x: 5, m: 2}. Give prob of picking 2 m. 1/21 What is prob of picking 2 u and 2 y when four letters picked without replacement from uuuuuyuuyuuu? 1/11 Calculate prob of picking 1 h and 2 s when three letters picked without replacement from sshwswswsssws. 14/143 Three letters picked without replacement from hbvbhvhbachajja. What is prob of picking 2 j and 1 b? 3/455 What is prob of picking 1 m and 1 d when two letters picked without replacement from {k: 1, d: 1, m: 2, i: 1, w: 2, q: 2}? 1/18 Two letters picked without replacement from vvwwvww. Give prob of picking 2 w. 2/7 Two letters picked without replacement from {s: 1, e: 2, c: 1, o: 1, z: 4}. What is prob of picking 1 e and 1 z? 2/9 What is prob of picking 1 m and 2 t when three letters picked without replacement from {x: 2, e: 8, m: 3, t: 6}? 15/323 Four letters picked without replacement from whiwiwwiwhiiwwwwi. What is prob of picking 3 w and 1 i? 18/85 Two letters picked without replacement from gbkbdkkkbkbkkbbgkdg. Give prob of picking 1 g and 1 d. 2/57 Two letters picked without replacement from {b: 2, y: 1, o: 4, u: 1, t: 8}. What is prob of picking 1 b and 1 y? 1/60 Four letters picked without replacement from {m: 1, d: 3, z: 3}. What is prob of picking 3 d and 1 z? 3/35 Four letters picked without replacement from {m: 2, g: 8, i: 1, c: 2}. Give prob of picking 1 i, 1 m, and 2 g. 56/715 Calculate prob of picking 1 k and 1 u when two letters picked without replacement from kwsskuukuussksbukbs. 25/171 Calculate prob of picking 1 e and 1 c when two letters picked without replacement from {d: 1, c: 1, v: 2, l: 2, e: 1, a: 1}. 1/28 What is prob of picking 2 w, 1 c, and 1 v when four letters picked without replacement from cfwcqvqwqffcwccof? 3/476 Calculate prob of picking 2 r when two letters picked without replacement from {r: 6}. 1 Two letters picked without replacement from {j: 7, w: 1}. Give prob of picking 2 j. 3/4 Calculate prob of picking 1 r and 1 f when two letters picked without replacement from {m: 2, w: 6, f: 3, r: 4}. 4/35 Three letters picked without replacement from jmzjeqemmjjztm. Give prob of picking 3 m. 1/91 Four letters picked without replacement from iioipiso. Give prob of picking 3 i and 1 o. 4/35 Two letters picked without replacement from {b: 2, h: 4, e: 3}. Give prob of picking 1 h and 1 b. 2/9 What is prob of picking 1 y and 1 k when two letters picked without replacement from ykkwwyyykkjvkkkkk? 9/34 What is prob of picking 1 c and 1 l when two letters picked without replacement from {c: 6, l: 2, y: 10}? 4/51 Four letters picked without replacement from ctibzcl. Give prob of picking 1 c, 1 i, 1 t, and 1 b. 2/35 What is prob of picking 1 a, 1 d, and 1 f when three letters picked without replacement from {r: 1, u: 1, f: 4, a: 7, v: 1, d: 5}? 140/969 Three letters picked without replacement from {j: 4, e: 2, s: 10, v: 3}. Give prob of picking 1 e and 2 v. 2/323 Four letters picked without replacement from xxwxwxxxxxx. Give prob of picking 4 x. 21/55 Calculate prob of picking 2 d when two letters picked without replacement from {d: 2, j: 2, v: 7}. 1/55 Four letters picked without replacement from jjcrcoaoajjracm. What is prob of picking 3 a and 1 r? 2/1365 Two letters picked without replacement from bfkbcifbkeiief. Give prob of picking 1 e and 1 k. 4/91 Two letters picked without replacement from rradkradrdar. What is prob of picking 1 k and 1 r? 5/66 What is prob of picking 1 k and 1 z when two letters picked without replacement from ksgzzkzzmkk? 16/55 Three letters picked without replacement from {n: 1, a: 2, d: 1, u: 1}. What is prob of picking 2 a and 1 d? 1/10 Calculate prob of picking 2 h and 2 x when four letters picked without replacement from {h: 4, x: 3}. 18/35 What is prob of picking 2 y when two letters picked without replacement from {y: 3, o: 17}? 3/190 Two letters picked without replacement from ookkkkkkkkkkookkkk. Give prob of picking 1 o and 1 k. 56/153 Two letters picked without replacement from wwiiiiiwiiiiwwww. What is prob of picking 2 i? 3/10 Two letters picked without replacement from hhaahahhaahazahzhha. What is prob of picking 1 a and 1 z? 16/171 Calculate prob of picking 4 z when four letters picked without replacement from {j: 3, z: 5}. 1/14 Calculate prob of picking 1 k and 1 z when two letters picked without replacement from {k: 2, z: 1, g: 1, t: 1, v: 2, b: 1}. 1/14 Two letters picked without replacement from {y: 2, g: 9, h: 2}. Give prob of picking 1 y and 1 h. 2/39 Two letters picked without replacement from yyyyyyvyyyyyvyyyyyyy. What is prob of picking 2 y? 153/190 What is prob of picking 1 f, 1 r, and 1 d when three letters picked without replacement from {f: 1, r: 3, k: 4, d: 6, u: 4, l: 2}? 3/190 Three letters picked without replacement from jjddddjddjddddddddj. What is prob of picking 2 d and 1 j? 455/969 Three letters picked without replacement from {t: 2, x: 6, y: 7}. What is prob of picking 2 y and 1 t? 6/65 What is prob of picking 1 v and 1 a when two letters picked without replacement from {v: 4, a: 1, t: 3, h: 12}? 2/95 Calculate prob of picking 1 y and 1 r when two letters picked without replacement from dzyytozoordo. 1/33 Calculate prob of picking 2 v and 2 j when four letters picked without replacement from sjjjjjjysvyvvjvyysj. 14/323 Three letters picked without replacement from {s: 2, o: 6, d: 2, i: 3, v: 4, r: 1}. Give prob of picking 1 i, 1 d, and 1 v. 1/34 Four letters picked without replacement from {t: 7, n: 7}. Give prob of picking 3 n and 1 t. 35/143 Two letters picked without replacement from {z: 8, n: 1, o: 2, f: 8, i: 1}. Give prob of picking 1 z and 1 f. 32/95 Two letters picked without replacement from axyabaabaabxyyxaxxy. Give prob of picking 1 y and 1 x. 20/171 What is prob of picking 3 r and 1 i when four letters picked without replacement from rrnlccrllnlncil? 1/1365 Three letters picked without replacement from {s: 2, o: 4, l: 4}. What is prob of picking 2 l and 1 s? 1/10 Four letters picked without replacement from {h: 4, i: 1, n: 7, w: 2, x: 2}. Give prob of picking 3 n and 1 i. 1/52 What is prob of picking 1 q and 1 g when two letters picked without replacement from {j: 1, v: 2, g: 5, q: 1}? 5/36 Calculate prob of picking 1 a and 1 f when two letters picked without replacement from {b: 2, f: 1, t: 1, m: 2, a: 1, q: 8}. 1/105 Three letters picked without replacement from {b: 2, m: 1, w: 1, k: 3}. What is prob of picking 2 k and 1 m? 3/35 Calculate prob of picking 1 r, 1 d, and 2 a when four letters picked without replacement from {d: 1, r: 2, h: 1, b: 2, s: 1, a: 2}. 1/63 Two letters picked without replacement from {s: 3, g: 5}. Give prob of picking 2 s. 3/28 Three letters picked without replacement from tdooozgzngdztddggoz. What is prob of picking 2 g and 1 d? 8/323 Three letters picked without replacement from {j: 3, q: 4, e: 9}. What is prob of picking 2 e and 1 q? 9/35 Calculate prob of picking 4 f when four letters picked without replacement from {f: 10, g: 4}. 30/143 Two letters picked without replacement from {u: 11, g: 4, w: 3}. What is prob of picking 1 g and 1 w? 4/51 Calculate prob of picking 1 h, 1 r, and 2 p when four letters picked without replacement from bkbhhbbbbhbrppbbpr. 1/170 Calculate prob of picking 1 n, 1 g, 1 z, and 1 i when four letters picked without replacement from {g: 2, n: 2, d: 6, z: 2, i: 3, j: 3}. 2/255 What is prob of picking 1 g and 1 l when two letters picked without replacement from {l: 8, v: 1, r: 4, w: 2, g: 1}? 1/15 Four letters picked without replacement from qqvvqvqq. Give prob of picking 1 q and 3 v. 1/14 Four letters picked without replacement from rgggvvvvlgggrrv. What is prob of picking 1 r and 3 g? 4/91 Four letters picked without replacement from emeemmfmme. What is prob of picking 1 f and 3 e? 2/105 Two letters picked without replacement from {l: 1, i: 6, d: 2, w: 2}. What is prob of picking 1 w and 1 i? 12/55 What is prob of picking 2 k and 1 f when three letters picked without replacement from {l: 1, k: 13, f: 3}? 117/340 Two letters picked without replacement from ttssstsststt.
{ "pile_set_name": "DM Mathematics" }
0.38 + 2.38. Let r = s - 1.5. Let u = -3.991 + -0.009. Which is the second biggest value? (a) u (b) 3/4 (c) r c Suppose -4*w - 148 = -41*w. Let x = -86 - -81. What is the second smallest value in 4/3, w, x? 4/3 Let j = -9584 + 9596. Let d be -2 + (0 - 17/(-7)). Which is the second smallest value? (a) d (b) j (c) -0.2 a Let h = 2.88 + -3.88. Which is the smallest value? (a) h (b) 0.5 (c) 2/53 a Let v = -6677/2 - -3338. What is the third smallest value in v, -2/3, -0.1, 0.2? -0.1 Suppose -55*n = -192*n + 274. What is the fifth smallest value in -4, 1, n, -0.08, -5? n Let c = -41.6 - -32.6. Let r be 5*-2*((-47)/45 - -1). What is the third biggest value in -8, r, c? c Let j be 12744/(-189) - (2 + -1). Let n = j + 69. Which is the smallest value? (a) n (b) 0 (c) -0.07 (d) 0.4 c Let v = -10953.03 - -10953. Which is the second biggest value? (a) -3 (b) v (c) 0.07 (d) -9 b Let q = -19315/14 - -9640/7. Let k = 3 + -3. Let z = 0 + k. Which is the second biggest value? (a) -5 (b) z (c) -1/8 (d) q c Let c = -3.96 - 0.04. Let m = 7.33 - 8.78. Let b = 1.95 + m. What is the second smallest value in c, b, 4? b Let z be 2/6*(-5 + 5). Let g be 3 + (-440)/152 - 21/171. Which is the smallest value? (a) z (b) g (c) 0.5 b Let o = 1057.3 - 1796.4. Let v = o - -739. What is the second smallest value in -0.4, -0.5, v, -2? -0.5 Let p = 0.03 - -1.97. Let r = -272 + 236.7. Let v = -35.2 - r. What is the third smallest value in v, -3/7, p? p Let i = -183099.8 - -183099. Let d(j) = -2*j**2 + 4*j - 3. Let x be d(2). What is the second biggest value in i, x, -5? x Let v = -74.066 + 70.066. Let o be (-1)/3 - 11/(-15). Let x = -1 + 1.2. Which is the fourth biggest value? (a) 4 (b) x (c) v (d) o c Suppose -2*h = -4*u + 10, -u = -573*h + 575*h. Which is the fourth biggest value? (a) 5 (b) -4/9 (c) 0.06 (d) u (e) 1 c Suppose -3*l + 4*l = 3, -4*s + l = 695. Let y = s + 345/2. What is the second smallest value in 4/13, 0.2, y? 0.2 Let l be 166/(-249) + -2 + 3. Let r = 0.4 - -0.1. Let u be (-31)/(-114) - 3/18. Which is the smallest value? (a) u (b) l (c) r (d) -0.2 d Let u = -4.0377 - -0.0377. Let n = -4.3 - u. Let f(w) = w**3 - w**2. Let o be f(-1). What is the second smallest value in -13, o, n? o Let r = -3.3 - -1.5. Let a = 1.24 - -8.96. Let y = a - r. What is the third biggest value in y, 0, 2? 0 Let j = 44/3 - 89/6. Suppose -54 = 4*f + 4*y - 2, -5*f = -2*y + 37. Let m be 3/f + (-195)/(-180). What is the smallest value in m, 0, j? j Let f = -121.53 - 0.47. Let y = f + 121.6. What is the third smallest value in y, 1, 1/5? 1 Let j be 5/((-250)/20)*(-10)/(-8). Which is the third biggest value? (a) -0.03 (b) 4 (c) j (d) -5 (e) -3/11 e Let d be 2/12*111/(-74). What is the third biggest value in 27/5, d, 0.19? d Let u = -5.69 - -5.59. Let f = 107 - 107.4. Which is the second biggest value? (a) 2/19 (b) u (c) f b Let o be 296/(-56) - 2/(-7). Let h be (-4)/o*2/(-8). Let z be (-97)/(-1164)*-1*(2 + 1). What is the third smallest value in 2/17, h, z? 2/17 Let m = -0.01577 + -8.98423. Which is the smallest value? (a) -3 (b) m (c) 8 (d) -1/3 b Suppose -3*v + 48 = -6*v - c, 0 = 5*v + 3*c + 88. What is the second biggest value in -3/38, v, -0.1? -0.1 Let q = -884 + 824. What is the smallest value in 0.2, 0, -3, q? q Let n = 343.9 - 344.4. Which is the biggest value? (a) 9 (b) n (c) -139 a Let g = 0.19843 + 69.80157. What is the third smallest value in 4, -4/11, 5, g? 5 Let s = -0.1221 + -3.8779. Which is the second biggest value? (a) -5 (b) -2 (c) s (d) 2/3 b Let r = 20/3 + -97/15. Let o = 8.827 + -8.727. What is the second smallest value in -4, -3, r, o? -3 Let r = 83 + -80. Let n be ((-2)/r)/(4/408). Let m = n + 66. Which is the second smallest value? (a) -0.3 (b) m (c) -3 b Let g be (0 - (-6)/4)/(616/(-364)). Let s = g - -7/11. Which is the biggest value? (a) -0.064 (b) s (c) -0.1 a Let z = -102.71 - -103.42. Which is the biggest value? (a) -12 (b) 0.2 (c) 4 (d) -2/15 (e) z c Suppose -407*i - 31088 = -871*i. What is the smallest value in 0.049, i, 2/13? 0.049 Let h = 26616 - 26575. What is the biggest value in h, 5, -13, 3? h Let u = -0.32608 - 994.63392. Let q = -1035 - u. Let f = q + 40. Which is the second biggest value? (a) f (b) 0.3 (c) 2/19 c Suppose -w + 3 = -0*w. Let d = 75 - 49.5. Let r = 25.42 - d. Which is the second biggest value? (a) r (b) 5 (c) w c Let p(n) = n**2 + n - 2. Let x be p(0). Let q be 774/1260 + x*(-2)/(-10). Which is the second biggest value? (a) q (b) 0.5 (c) -1/4 a Let h = -6857/23 + 298. Which is the second smallest value? (a) -3/2 (b) h (c) -1 (d) -2 (e) -3/8 a Let h = 2870.2 - 2865. Let q = 16 - 14. What is the third biggest value in 3, h, q, 1? q Let h be 86/(-110) + 9/15. Let r = -78 + 78.53. Let l = 0.63 - r. What is the second biggest value in -3/7, l, h, -0.2? h Let b be 94/2*(-999)/243. Let n = -193 - b. What is the second biggest value in n, 0.3, 13/4? 0.3 Let q = -0.0234 - 353.9766. Let w = q - -353.5. Which is the second smallest value? (a) w (b) -0.3 (c) -42 a Let m be 3 - (-133)/(-42) - (-37)/6. What is the fourth biggest value in m, -1, -1/3, 8? -1 Let t = -3902.6 - -3902.9. Which is the fourth biggest value? (a) t (b) 13 (c) 0 (d) -162 d Let i = 0.563 + -314.563. Let y = 317 + i. Which is the second biggest value? (a) y (b) -1.1 (c) -0.1 (d) -4 c Let f = -10403 + 10401.5. Which is the smallest value? (a) -1/48 (b) f (c) 0 b Let y(m) = m**3 - 16*m**2 + 25*m - 154. Let i be y(15). What is the fifth smallest value in -0.3, 1, 15, 3, i? 15 Let d = -8 + 4. Let r = 13/33 + 3/11. Let k = -41.32 + 41.12. Which is the smallest value? (a) k (b) r (c) d c Let q = 9780 - 9776. Which is the second smallest value? (a) -894 (b) -0.5 (c) q b Suppose 0 = 3*j - 4*z - 50, -5*j + 10*j + 2*z - 66 = 0. Suppose -50 = 9*v - j. Let g = 0.74 + -0.8. Which is the second biggest value? (a) g (b) v (c) 4 a Let s = -47 - -51. Let w = 1340.1 - 1335.1. Let g = -0.7 + 0.2. What is the second smallest value in w, g, 2/7, s? 2/7 Let y = 0.8 + -0.8. Let i = -13860 - -13801. Which is the second biggest value? (a) i (b) 0.3 (c) y c Let j = -24.8 - -0.8. Let u = -20.9 - j. Let z = -3.5 + u. Which is the fourth smallest value? (a) z (b) -0.5 (c) 0.3 (d) -3 c Let r = -32227.7 - -32228. What is the biggest value in r, -2, 49/6? 49/6 Let y be (952/12 - 13)*15*12/15. What is the second smallest value in y, -5, -4/3, -3? -3 Let z = -26 - -25. Let b be 26/143*(-3)/2. Let x = -4/55 - b. What is the smallest value in x, -3/4, z? z Let s be (-8)/(-152)*19 + (1 + 0 - 0). What is the third smallest value in s, 2/5, 126, -5? s Let y = 2026 + -60763/30. Let n = -2/5 + y. Which is the fourth biggest value? (a) n (b) 0.4 (c) 1 (d) 5 a Let f = -2028 + 2030. Which is the smallest value? (a) -0.2 (b) f (c) -0.76 (d) 2/13 c Suppose 2232 - 202 = -29*z. Let n be z/(-21) - (-3 + -2 + 9). Which is the third biggest value? (a) -16 (b) n (c) 2 a Let s be 63/(-35)*(-39)/(-117) + (-63)/(-55). What is the biggest value in s, 33/7, 4/9, -0.5? 33/7 Let o = 1253/4 - 314. Let q = 0.11 - -3.89. Let x = -4.3 + q. Which is the biggest value? (a) x (b) o (c) -2 a Let z = 4.03 + -0.03. Let g = 0.16 - 0.23. Let i = 148489.8 - 148490. What is the fourth smallest value in -5/3, g, z, i? z Let o = 299.0492 - 0.0492. What is the third biggest value in 2, o, -2/5? -2/5 Let x = 404498 - 1213493/3. Let t = 265 + -1329/5. Which is the second biggest value? (a) t (b) -0.3 (c) 3 (d) x d Let r = 4.1 - 0.1. Let y be (-62)/(-22) + (-18 - -15). Let o = 243 - 242. What is the third biggest value in -4, r, y, o? y Let w = 8706/7 - 17391/14. Which is the third biggest value? (a) 1 (b) -5 (c) -3 (d) w (e) -4 c Let x = -0.045 + -15.955. Let r = x - -15.555. Let i = r - 0.055. Which is the fourth biggest value? (a) -0.4 (b) i (c) -5 (d) -6 d Let k = 0.092 + -100.092. Let m = 105 + k. Let w be ((-27)/12 - -2)*-1. Which is the biggest value? (a) 1 (b) m (c) w (d) -1/7 b Let y = 67.044 - 67. Let o = y - 1.044. Let d be ((-1 - -3)*1)/8. Which is the second smallest value? (a) -2 (b) o (c) d b Let v be (-3)/(0 + -1) - (4 - 24/18). Let m be 6/((-8)/(-4) - 4). Which is the smallest value? (a) 3/8 (b
{ "pile_set_name": "DM Mathematics" }
u - 3*u**2. Give d(l(t)). -20*t Let w(a) = 16*a**2 + 3*a. Let p(b) be the first derivative of -21*b**2 - 2*b + 2063. Give p(w(l)). -672*l**2 - 126*l - 2 Let g(p) be the second derivative of -p**4/6 - 41*p**2/2 + 5528*p. Let z(t) = 130*t. Calculate g(z(m)). -33800*m**2 - 41 Let b(z) = z + 1. Let g(p) = -271 - 101 + 15 - 86*p - 79*p - 73*p. Let v(h) = 357*b(h) + g(h). Let l(c) = 2*c**2. Calculate v(l(o)). 238*o**2 Let q(n) = 2*n. Let m(w) be the third derivative of -766*w**5/15 + 33*w**2 - 4*w. Calculate q(m(j)). -6128*j**2 Let g(d) be the first derivative of 2*d**2 + 55*d - 19. Let r(h) = 6*h + 82. Let f(w) = -8*g(w) + 5*r(w). Let v(i) = 2*i**2. Determine f(v(q)). -4*q**2 - 30 Let k(w) = -35*w. Let q(h) = -549*h**2 + 2*h - 637. What is q(k(g))? -672525*g**2 - 70*g - 637 Let v(p) be the second derivative of p**4/12 - 11*p. Let r(w) be the third derivative of -23*w**4/8 + 8*w**2 - 16*w. What is r(v(k))? -69*k**2 Let q = -3 + 5. Let j(i) = q*i - 4*i**2 - 2*i. Let t(y) = 357*y - 32. Let v(g) = 1158*g - 104. Let n(a) = 13*t(a) - 4*v(a). Determine j(n(x)). -324*x**2 Let w(g) = g**2 - 28*g. Let d(q) = -33843524*q - 34 + 33843524*q + q**2. Calculate w(d(r)). r**4 - 96*r**2 + 2108 Let q(j) = 9961940*j. Let x(o) = 2*o**2. What is x(q(s))? 198480497127200*s**2 Let w(n) = 34*n. Let u(p) = -485*p + 2888. Give u(w(d)). -16490*d + 2888 Let j(f) be the third derivative of -49*f**5/60 + 2*f**2 - 455*f + 3. Let v(c) = -c + 4*c - 2*c + 2*c. Calculate v(j(a)). -147*a**2 Let y(p) = -21*p - 10. Let v(q) = -370*q - 315. Let n(l) = 33*l + 28. Let r(g) = -45*n(g) - 4*v(g). Give y(r(h)). 105*h - 10 Let m(h) be the second derivative of h**4/4 + 403*h**2 + 29*h - 36. Let y(c) = -2*c**2. Calculate m(y(z)). 12*z**4 + 806 Let p(l) = 49*l**2. Suppose 4*n = 3*a + 19, -n - 3*a = 8 + 6. Let r(y) = -4 + 3 + 2*y + n. Determine r(p(i)). 98*i**2 Let u(t) = 159577982*t. Let x(q) = q. Calculate u(x(i)). 159577982*i Let q(c) = -c**2. Let w(v) = -v**3 + 8*v**2 + 11*v - 66. Let g be w(8). Let m(b) = 12*b + g*b - 31*b + 17*b - 3. Determine m(q(k)). -20*k**2 - 3 Let a(g) = 5*g**2 + 5*g - 10. Suppose j - 10*j + 27 = 0. Let r(q) = -2*q**2 - 3*q + 6. Let n(l) = j*a(l) + 5*r(l). Let f(i) = -i - 15 + 15. Calculate f(n(c)). -5*c**2 Let r(i) be the third derivative of -5*i**7/504 + 9*i**4/4 + 124*i**2. Let m(j) be the second derivative of r(j). Let t(q) = 9*q**2. Calculate t(m(x)). 5625*x**4 Let a(p) = -p**2 - p + 6250. Let o(w) = -972*w. Calculate a(o(s)). -944784*s**2 + 972*s + 6250 Let g(j) = 2016*j**2 + 2*j + 8. Let y(h) = 16*h. What is g(y(v))? 516096*v**2 + 32*v + 8 Let f(r) = 8*r - 4. Let u be (-1)/((-9)/(-216)*4). Let d(j) = 2*j**2 - 7. Let z(o) = -o**2 + 3. Let t(g) = u*d(g) - 14*z(g). Calculate f(t(h)). 16*h**2 - 4 Let j(i) = 2*i**2. Let c(w) be the first derivative of 2*w**3 - 127*w**2/2 - 4505. Give c(j(n)). 24*n**4 - 254*n**2 Let t(p) = -100*p + 17 + 62*p + 5*p**2 + 17*p + 21*p. Let u(o) = -25*o. What is t(u(r))? 3125*r**2 + 17 Suppose 3*t - 1 - 32 = 0. Let j(r) = 11 - 2*r - t + 0*r. Let l(c) = -10*c + 16. Let u(q) = -2*q + 3. Let y(x) = -3*l(x) + 16*u(x). What is y(j(w))? 4*w Let g(v) = -405637*v. Let z(b) = 22*b - 14. What is z(g(p))? -8924014*p - 14 Let s(f) be the second derivative of 7*f**4/12 - 877*f. Let r(q) = -75*q. Calculate s(r(k)). 39375*k**2 Let f(x) = x. Let u(d) = 7*d**2 + 5*d + 1. Let h be u(-4). Let v(y) = -89*y - h*y + 320*y. Determine v(f(a)). 138*a Let h(d) = -166*d. Let f(n) = -32*n - 108. Let p(t) = -7*t - 25. Let c(v) = 6*f(v) - 26*p(v). Give h(c(a)). 1660*a - 332 Let k(q) = -3885*q**2. Let b(g) = -2636*g**2. Calculate b(k(x)). -39785741100*x**4 Let o(j) = 2699*j**2. Let p(d) = 5074*d**2. Give p(o(b)). 36962065474*b**4 Let d(k) = -230441*k**2. Let x(a) = 101*a. Calculate d(x(t)). -2350728641*t**2 Suppose 25*v + 36 = 31*v. Let c(f) = v*f**2 - 39*f + 39*f. Let u(d) = d**2. Determine u(c(r)). 36*r**4 Let y(b) = 21*b**2. Let d(v) = -294 - 7*v - v + 274 + 3*v + 6*v. Give y(d(x)). 21*x**2 - 840*x + 8400 Let l(h) = -7*h**2. Let x be 165/(-2) + 0 - 53/(-106). Let v = x + 84. Let m(t) = -6*t**2 + 0*t**v - 3*t**2. Determine l(m(r)). -567*r**4 Let q(y) = y. Let s(m) = -35733841*m. Calculate s(q(r)). -35733841*r Let a(f) = -217*f. Let n(h) = 2*h + 42. Let u(r) = 6*r + 119. Let z(m) = 7*m + 76. Let c be z(-10). Let s(v) = c*u(v) - 17*n(v). What is s(a(l))? -434*l Let r(y) = 1528*y. Let x(g) = -102168*g + 51082*g + 51084*g. What is x(r(k))? -3056*k Suppose -5 = k - 70. Suppose -f = -b, 0 = 5*b - f - 4. Let s(t) = b + 86*t**2 - 1 - k*t**2. Let y(j) = -2*j**2. What is s(y(o))? 84*o**4 Let g(f) = -18*f**2. Let i(d) be the first derivative of -204*d**2 - 4798. Calculate i(g(y)). 7344*y**2 Let p be (-2 - (-15)/(-5)) + 27. Let v(y) = p*y - 6*y - 11*y - 7*y. Let h(c) = 8*c**2. Determine v(h(w)). -16*w**2 Let d(a) = 3*a. Let c(j) be the second derivative of 0 + 125*j + 0*j**2 + 19/6*j**3. Calculate d(c(k)). 57*k Let j(b) = 130*b**2. Let w(u) be the first derivative of 10*u**3 - 988. What is w(j(y))? 507000*y**4 Let v(y) = -y**2. Let q(o) = 9484618 + 679*o - 9484618 - 220*o. Calculate v(q(k)). -210681*k**2 Let c(r) be the third derivative of 0*r + 12*r**2 + 1/24*r**4 + 0*r**3 + 0. Let u(v) = -7*v. What is u(c(f))? -7*f Let l(w) = -w - 259013644. Let c(y) = -y. Determine l(c(u)). u - 259013644 Let r(q) = -q. Let u(l) = 4*l - 4. Let m(a) = -16*r(a) - 3*u(a). Let h(y) = -3*y - 4. Let d(p) = -4*p - 5. Let f(v) = 4*d(v) - 5*h(v). Determine m(f(x)). -4*x + 12 Let n(w) = 5*w - 2. Let o be n(1). Let c(u) = -4*u + u + 2*u + o*u. Let x(f) = 9*f**2 - 1 + 3 - 2 - 10*f**2. Determine c(x(l)). -2*l**2 Let p(i) = -i**2. Let x(s) = -34034563*s**2. Determine x(p(y)). -34034563*y**4 Let z(v) = -23504*v**2 + 23505*v**2 - 88*v - 150*v. Let m(l) = l. What is m(z(s))? s**2 - 238*s Let y(i) = i**2 - 6*i - 23. Let m(h) = -9365*h. Calculate m(y(w)). -9365*w**2 + 56190*w + 215395 Let d(m) = -3*m. Let x(l) = -1800378*l. What is x(d(n))? 5401134*n Let n(x) be the first derivative of -4*x**3/3 - 50*x + 75. Let q(j) be the first derivative of n(j). Let p(i) = -6*i**2. Give q(p(d)). 48*d**2 Let f(r) = -282*r + 134*r + 151*r. Let w(y) = -553*y**2. Calculate f(w(j)). -1659*j**2 Let a(o) = 786*o**2. Let u(n) = 597*n + 178. Calculate u(a(x)). 469242*x**2 + 178 Let m(d) = 7*d**2. Let o(j) = -386707*j**2. Calculate m(o(t)). 1046796126943*t**4 Let n(y) = 7366*y. Let d(x) = 2*x**2 - 40*x + 20. Calculate d(n(a)). 108515912*a**2 - 294640*a + 20 Let s(i) = -49964049*i**2. Let o(c) = -2*c. Determine s(o(z)). -199856196*z**2 Let a(z) = -1131*z + 705*z + 570*z. Let n(t) = 7*t. Calculate n(a(x)). 1008*x Let x(j) = -168651*j. Let y(t) = -t - 41. What is x(y(n))? 168651*n + 6914691 Let o(b) = -15*b**2 + 6. Let u(i) = -i**2 + 8 - 57*i**2 + 41*i**2. Let k(g) = -4*o(g) + 3*u(g). Let p(d) = -7*d. What is k(p(a))? 441*a**2 Let o(p) = 15. Let g(h) be the third derivative of h**4/24 - 8*h**3/3 - 56*h**2. Let v(f) = 4*g(f) + 5*o(f). Let c(u) = 2*u**2. Give c(v(x)). 32*x**2 + 176*x + 242 Let a(q) = -83754274*q**2. Let h(b) = -2*b**2. Determine a(h(f)). -335017096*f**4 Let s(f) = 9718738*f**2. Let q(p) = -3*p**2. Give s(q(z)). 87468642*z**4 Let v(a) = 2912681*a. Let m(o) = -2*o - 6. Determine v(m(n)). -5825362*n - 17476086 Let t(j) = 1737579*j**2. Let s(g) = 508*g. Determine s(t(u)). 882690132*u**2 Suppose -5*o + 353 = 2*i, -3*o - o = -2*i - 286. Suppose o = 15*z - 124. Let g(d) = -7*d - 11*d + z*d. Let j(m) = 11*m**2. Determine j(g(s)). 275*s**2 Let q(o) = -1525*o. Let w(n) be the second derivative of n**4/6 + 4*n + 6. Calculate q(w(f)). -3050*f**2 Let x(q) = 3*q**2. Let s(h) be the first derivative of 0*h**2 + 5/3*h**3 + 0*h + 7. Let k(c) = -2*s(c) + 5*x(c). Let w(t) = -8*t**2. Determine w(k(l)). -200*l**4 Let v(j) = 2*j. Let w(c) = 127700*c**2 + 2. What is w(v(f))? 510800*f**2 + 2 Let q(v) = 20*v + 54 - 19*v + 12*v - 29 - 25. Let g(i) = i + i**2 - i. Give g(q(x)). 169*x**2 Let g(i) = 3*i + 4. Let s(j) = -10*j + 10. Let h(f) = -2*f + 3. Let b(c) = 25*h(c) - 6*s(c). Let x(u) = -4*b(u) + 15*g(u). Let l(w) = 22*w**2. What is l(x(y))? 550*y**2 Let m(b) be the third derivative of -b**5/10 + b**2 - 1. Suppose 3*v - 19 = 11. Let a(n) = -9*n**2 + 15*n**2 - v*n**2. What is a(m(d))? -144*d**4 Let b(o) = 928199558 - 928199558 + 92*o. Let a(h) be
{ "pile_set_name": "DM Mathematics" }
4*s + 4*z, -i*z = 4*s + 3 + 17 for s. -2 Let k = -741 + 747. Solve -h = -6*m + 4*m - k, -h = -3*m - 11 for m. -5 Let o = 9 - 7. Suppose 0 = -o*j + 5*f + 23 + 27, -3*f = -12. Suppose -5*x - h + 3*h = -5, j = 5*x + 4*h. Solve -5*y - 5 = -3*m, 2*m + x*y = -0*y - 3 for m. 0 Suppose 57*b - 77*b + 120 = 0. Solve 3*f = f - o - 1, -3*f = -3*o + b for f. -1 Suppose 3*j + 3*y - 15 = 9, -4*y + 27 = 3*j. Suppose -3*v + 12 = v + c, j*v = -3*c + 22. Solve 0 = -4*i - 5*f, -v*i = -i - 2*f for i. 0 Let k(r) = 101*r + 105. Let j be k(-1). Solve -x - 4*c = -j*x + 10, 9 = 3*x - 3*c for x. 2 Let x = 17 + -12. Let d(t) = t**3 + t**2 - t. Let q be d(2). Suppose 0*r = -5*f + 2*r + q, 3*f - r - 6 = 0. Solve 0*m - m = f*s - 7, 0 = -3*s - x*m for s. 5 Suppose 7*a - 11 = 17. Suppose 2*p - 12 = -a*p. Solve 3*m + 15 = -2*b, 3*b - 5 = -p*m - 20 for m. -3 Let i = 171 + -151. Let l be 9 - 2*i/8. Solve l*n + 2 = -2*p, p - 3*n + 16 = 5 for p. -5 Suppose 8*h + 16 = 10*h. Suppose -2*l - 2*l = -h. Suppose 7 + 9 = 4*m, 0 = 2*p + 4*m - 24. Solve -i = -2*n - l*i, 0 = n - p*i for n. 0 Suppose 3*x - 15 = -5*g, -23*x = -22*x + 4*g - 5. Solve 0*d + d = -2*q - 4, -5*d = x*q for q. -4 Let k = 239 + -237. Solve 3*v - 2*u - 6 = 0, k*u = -2*v + u + 4 for v. 2 Let w = -1 + -3. Let j be -32*-1*(-2)/w. Suppose 2*x = 3*n - 2, 3*n + 4 - 11 = x. Solve 14 = 4*m + 2*q, 3*q - j = -m - n*m for m. 5 Let p(o) = o**3 + 6*o**2 + 4*o - 2. Let x = -29 + 24. Let v be p(x). Solve 2*r - v = w, -5*w + 4*r + 33 = 6*r for w. 5 Let l be (8/3)/((-3)/(-45)). Let k(x) = x + 12. Let c be k(-4). Let j be 4 + (-4)/(c/(-4)). Solve -j*h - 5*q + l = -h, 2*q - 10 = 0 for h. 3 Let n be 13/1 + 8/(-1). Solve 0*q - 3*q - n*x = 0, -x + 3 = 0 for q. -5 Let b(y) = -y**3 - 3*y**2 - 3*y - 3. Let m be b(-2). Let c = 10 + m. Solve -3*q + 11 = -2*k, -4*k + 5*q - 28 = -c for k. -1 Let n(j) be the third derivative of j**5/30 + j**4/24 - j**3/2 + j**2. Suppose -31*h - 34 = -14*h. Let s be n(h). Solve 3*b + y = 7*b - 9, 2*b = -s*y + 1 for b. 2 Suppose 5*s - 31 = -3*a, 16 = a + s + 5. Solve l + 4*w = -3*l + 12, 5*l + 2*w - a = 0 for l. 2 Suppose 264 = l + 262. Solve 3*s + 17 - 2 = 2*q, 0 = 5*s - l*q + 25 for s. -5 Suppose -6*c = 4*o - 34, -16 = -4*c - 7*o + 6*o. Solve 2*i = -3*z - 1, i = c*i - 3*z + 19 for i. -5 Suppose -t + 4*t - 17 = a, -4*a = -4. Solve 8 = -2*q, -2*c - t*q = -3*q + 22 for c. -5 Let v = -583 + 587. Solve -4*j + 1 = w, w - j - v*j = 10 for w. 5 Let q(m) = -8*m - 30. Let o be q(-4). Solve -4*h + 5*t + 18 = -11, t = o*h - 7 for h. 1 Suppose -2*f - f - 4*k + 29 = 0, 10 = 5*f - k. Suppose -q - 2*z = -4, 0*q - 6 = 4*q - f*z. Solve -4*n - 5*b + 3*b - 20 = q, 26 = -5*n - 3*b for n. -4 Let g be 3/5 + (96/15 - 4). Suppose -g*j - 96 = -4*b, 2*j - 52 - 24 = -4*b. Solve 0 = -5*i - 4*h + 15, b = 4*h + 1 for i. -1 Suppose -3 = 3*d, 5*d + 2 = 4*j - j. Suppose 8598 = f + 8594. Let z = j + f. Solve 0 = -z*q - 3*y + y - 4, -8 = -2*y for q. -4 Let t = 53 + -53. Suppose t = -2*d + 6 + 2. Solve -4 = -x + 2*x + 2*u, 0 = 4*x + 2*u + d for x. 0 Suppose 2*j = 4*j - 8, -3*j + 7 = -s. Let c = -1 + 1. Let i be (-3)/2*(0 + -2) + 0. Solve 2*u - s*m + 9 = c, 0*m + i = 4*u - 3*m for u. 3 Suppose -3*w - 80 = w. Let p be 5*((-672)/w)/4. Let d be (-12)/14*p/(-9). Solve -3*t - s - 2 = d*s, 3*t + s = -10 for t. -4 Let q be 1/(-2) - (-57)/2. Let d be 0 - 88 - (-2 - 2). Let v = -82 - d. Solve 4*k = -2*b - q, 0 = v*b - 7*b - 20 for k. -5 Let g be 429/65 - 2/(-5). Solve 2 = h + 2*p, 4*h - 1 - g = -5*p for h. 2 Let k be (-9 + -1)*2/5. Let i(n) be the second derivative of n**4/12 + n**3/3 - n**2 - 9*n. Let q be i(k). Solve 3*m + q = c - 0*m, -10 = -5*c - 5*m for c. 3 Suppose k + 5*y + 5 = -12, 2*k = -2*y - 2. Solve 3*t = -t + 4, k*t + 12 = -3*s for s. -5 Let a be (-186)/(-16) + 39/104. Solve 24 = 5*l - 5*f + 8*f, l - 5*f + a = 0 for l. 3 Suppose n + 6 - 17 = 0. Let y = 2 + 0. Suppose y*z - 25 = -3*z. Solve n = i - 5*k, -z*i = k + 14 + 9 for i. -4 Suppose 5*x + 14*m - 15*m - 24 = 0, 4*m = 4. Solve 3*s + 0*s = -2*n + 16, 0 = s - x*n + 23 for s. 2 Suppose 2*a - 6 = 2*z - 4, 5*a + 3*z = 21. Solve -a*l = -o - 5, -l + o - 1 = -0 for l. 3 Let q be ((-10)/(-4))/(3/(-24)). Suppose 5*c - 5*o = -105, -c - 11 = -0*c + o. Let z = c - q. Solve 6 - 22 = 4*h + 4*b, 2*h - z*b - 10 = 0 for h. -1 Suppose -47*w = -50*w + 9. Solve w*j + t = -13, -5*j - t - 21 = t for j. -5 Suppose 0 = -2*q + 10. Suppose -17*z - m = -13*z - 374, 2*z + 4*m - 194 = 0. Let o = z - 92. Solve -n = -d + q, -2*d + 3 + o = 0 for n. -3 Suppose c = b - 2, 0*b - 3*c = -2*b + 6. Solve p + 3*v - 14 = b, 0 = 3*p - 0*v - 2*v + 13 for p. -1 Let i(u) = -2*u + 6. Let g be i(0). Let w(c) = -6*c + 18. Let q be w(g). Let r = -14 - q. Solve -5*m = -2*s - 11, s - 4*m + 3*m + r = 0 for s. -3 Let d(b) = -b**3 - 7*b**2 - 3*b - 16. Let o be d(-7). Solve 2*c - 4*c = o*t - 25, -t = -5 for c. 0 Let g = 472 - 470. Solve 6 = g*o, -2*d + 1 = o + 8 for d. -5 Suppose -11*s = -13*s + 6, -j + s = 0. Solve 5*g + 5*f + 22 - 52 = 0, -j*g + 5*f = 14 for g. 2 Let q = -1 + 4. Let l = 7 - q. Let t = 89 + -89. Solve 4*w - 5 = 3*w - 3*v, -5*w - l*v + 14 = t for w. 2 Let w be (1/3)/(2/(-30)). Let l be (-36)/10*20/8. Let j = w - l. Solve 3*t + 2 = -5*d - 13, 3*t = j*d + 12 for d. -3 Suppose -201*t = -215*t + 266. Solve t = -3*m - 5*b, -5*m + 3*b = -b + 7 for m. -3 Let r be 100/36 + (-3 - 29/(-9)). Suppose 3*m - r*o + 11 + 1 = 0, 0 = 3*m + 3*o - 12. Solve 6*v + d + 20 = v, -5*v + d - 10 = m for v. -3 Let f(w) = -w**2 - 18*w - 26. Let l be f(-16). Let g be (-1)/((-1)/5*1). Let i(o) = -o + 4. Let s be i(0). Solve g*a - s*v + 6 = 0, 4*a + 3*v = 5*v - l for a. -2 Suppose -4*p - 15 = -31. Suppose 2*b - 3*r = -6, 8 = p*b + 5*r - 24. Solve -y - 4 = -b*n + 8*n, 8 = -2*y - 3*n for y. -4 Let x be (3*(-10)/(-10))/1. Let j(v) = v**3 + 2*v**2 - v - 2. Let t be j(-2). Solve 0 = -x*h - 4*s + 2*s - 14, t = 2*h + s + 8 for h. -2 Let l be 0/2*(4 - (1 - -2)). Suppose 20 = 4*k - l. Solve -14 = 2*c - 4*f, k*f = -3*c - 0*c + 23 for c. 1 Let s = 5 + 0. Let m = -4 + 8. Suppose -b - 4*k = -19, -m*b + 2*k - 5 = -3*b. Solve 2*h - n = -2*n + b, -4*h = -s*n + 29 for h. -1 Let c = -15 + 25. Let t = c + -6. Suppose 2*b - 3*n - 10 = 6, -t*b - 8 = 4*n. Solve -3*q = -5*y + 11 - b, 4*y = -5*q - 15 for y. 0 Let r(h) = -h**2 - 10*h - 12. Let i be r(-9). Let b(w) = -3*w - 4. Let m be b(i). Suppose n - 18 = 15. Solve -n = 4*a + 3*s - 8*s, -m*a = -3*s + 25 for a. -2 Let c = 11 - 10. Suppose c + 3 = d. Solve d*n = -16, 0*n - 2*n - 24 = -4*l for l. 4 Suppose -16*q = -181 - 155. Solve -g - s - 13 = 3*s, -3*g + 3*s + q = 0 for g. 3 Let b(f) = 3*f + 12. Let q be b(-9). Let s = 21 + q. Solve -c + s*c + 10 = 4*a, -10 = 5*c - 2*a for c. -2 Let m be (8/2 + -6)*(-3 + 0). Let s(h) = 5*h - 23. Let b be s(m). Solve -3*d = -2*d + o + b, 5*o + 20 = 0 for d. -3 Suppose 40 = 2*x - 2. Let z be 82/14 - (-3)/x. Suppose 3*r + 5*k = 2, -3*r + k = -z*r + 10. Solve -2*l - 5 = 4*w - 3*l, r*w - 3*l + 7 = 0 for w. -1 Suppose -93*n = -94*n - 34. Let a = -30 - n. Solve -y + a*s - 8 = 0, -4*y + 3*s = -8 + 1 for y. 4 Let a = -1 + 3. Suppose -m + 4*m + 4 = -c, -m + 5*c + 20 = 0. Let y be 2/(-6)*(0 + m). Solve -10 = 5*t - 3*t - a*z, -2*t + 3*z - 11 = y for t. -4 Let i = 15 + -11. Suppose 0*a - i*a + 13 = 5*b, 0 = 2*a - b - 3. Suppose -a*h + 27 = -5*y, 4*y - 6 = 4*h - 54. Solve -2*o - h = 2*n - o, 4*n + 28 = -4*o for n. -4 Suppose -8*p + 112 = 20*p. Solve g = -5*b - 2, 3*b - b = -p*g + 10 for b. -1 Suppose 0 = 7*l + l - 48. Solve l*v + 2*k + 11 = v, -v = 2*k + 7 for v. -1 Let q = -197 - -195. Suppose -3*d = d - 8. Let b be -2*(q - 11/d). Solve -5*p + 3*x - 7 = 2, 3*p + b = 5*x for p. 0 Suppose 112*b + 947 = 2963. Let u be 388/14 + 2/7. Suppose 3*v + 46 = 2*l + 3*l, 4*l - u = -2*v. Solve 0*h = -k - 4*h + b, -k + l = 2*h for k. -2 Let v = -285 - -288. Solve 2*u - 20 = 4*g + 4, 3*g + 9 = -v*u for u. 2 Suppose -3*t + 3*i + 6 = 0, i + 19 = -5*t - 1. Let f be (t + 0)/(15/(-25)). Suppose f*r = 6*r - 2. Solve 2*k - r*p - 10 = 0, -22 = -5*k - 5*p - 7 for k. 4 Let l = 65 - 65. Let q = -23 - -38. Suppose -a = -5*p - q, -2*a + l*p = 4*p - 2. Solve 5*o - 2*z - 20 = 0, a*o - 3*z - 7 = 13 for o. 4 Let d be ((-4)/(-6))/((-13)/156). Let r = d + 8. Suppose 0 = -j - 3*n - 12, -4*j - n - 2*n - 3 = r. Solve -5*x = z + 2, -8*x + j*x = 3*z -
{ "pile_set_name": "DM Mathematics" }
-137)/(-5) - 9/(-15). Solve -3*l + 10*l = c for l. 4 Suppose 0 = -8*c + 5*c + 2*m + 14, -2*c + m = -10. Solve -2 = -4*w - c for w. -1 Let i be 32/12*3 - 2. Suppose -4*l + i = -l. Suppose -22 = -3*j + 2*j - 4*q, -4*j - 2 = -l*q. Solve 5 = j*x - 5 for x. 5 Let c be (0/(1/(2 - 3)))/(-2). Solve -2*z + 7*z - 15 = c for z. 3 Suppose -3*p + 4*m + 26 = 0, m = -p - 0*m - 3. Let c be (-1 + p)*(15 + -15). Solve 0 = -5*q - c*q - 15 for q. -3 Suppose 2*o = -3*o - 5, 0 = -4*u + 5*o - 55. Let h be 9/u - 8/(-5). Solve -p + 0 = h for p. -1 Let y(k) = k**3 + 31*k**2 + 83*k + 2. Let m be y(-3). Solve -m*t + 783 = 768 for t. 3 Let r = 446 - 444. Solve r*y - 6*y + 8 = 0 for y. 2 Let s(l) = -24*l - 156. Let b be s(-7). Suppose -4*n + 12 = -0*n. Let g = 1 + n. Solve b = 4*v + g for v. 2 Let m be (2/(-6))/((-4)/(-24)) - 14. Let g = m - -18. Solve g = r - 0 for r. 2 Let q be -2 + 66/30 - (-1749)/55. Solve 49*n - 22*n = q*n for n. 0 Suppose -3*j - 14 + 84 = s, 128 = 5*j - 4*s. Solve 0*f = -8*f + j for f. 3 Suppose -108*c + 272 = -74*c. Suppose 0 - 3 = m, 0 = -5*f - 5*m. Solve f*n + 5 = c*n for n. 1 Let v(k) = k**2 + 3*k - 2. Let y be v(1). Let n be y*1 - (17 - 6). Let j = n + 9. Solve j = 2*q - 6*q for q. 0 Let b(a) = a**3 - 3*a**2 - 5*a + 13. Let v be b(4). Solve v - 29 = 5*x for x. -4 Let y = -6 + 12. Suppose -i + 9 = 2*d, 39 = -d + y*d - 3*i. Solve -l + d*l = 25 for l. 5 Let x = -355 - -363. Solve x - 19 = 11*l for l. -1 Suppose 3*s - 56 = -5*x - 27, 5*s = -x + 19. Solve 8 = 3*b - x for b. 4 Let t(k) = -k**3 - 34*k**2 + 2. Let w be t(-34). Solve 5*p = -w*p + 35 for p. 5 Let i(k) = k**3 - 6*k**2. Let w be i(6). Suppose -2*l = 2*l - 40. Let d = -10 + l. Solve w*f + 4*f = d for f. 0 Let a(w) = -6*w**2 - 17*w - 5. Let c be a(-2). Solve 7*g + c = -16 for g. -3 Suppose 0 = -6*z - 14*z. Solve -17*x = -z*x - 68 for x. 4 Suppose 12*j = 5*j + 14. Let p be (-1 + 3 - j)/(-2). Solve p = -3*n - 2*n for n. 0 Suppose 0 = -5*f - 97 + 112. Solve -3*u = f + 3 for u. -2 Suppose 4*a + 22 - 2 = 0. Let v be (-2)/a - (-446)/10. Let g be v/21 - (-2)/(-14). Solve -g*i - 2 - 2 = 0 for i. -2 Let m = -220 - -225. Solve 0 = m*z - 19 + 9 for z. 2 Let f = 18 + -18. Suppose 4*r = -f*r + 20. Solve -r = -k - 4*k for k. 1 Let d(y) = y**2 - 2*y + 3. Let l be d(3). Let w be (28/5)/(l/(-30)). Let t be (8/w)/(2/(-14)). Solve 2*o + 6 - t = 0 for o. -2 Let o = -298 + 299. Let i(k) = k**2 + 3*k + 2. Let t be i(-3). Solve o = t*c - 3 for c. 2 Let f(v) be the third derivative of v**6/120 + 7*v**5/30 - v**4/24 - 2*v**3 + v**2. Suppose 9*b = 19*b + 140. Let g be f(b). Solve -12 = -g*m - m for m. 4 Suppose 4*s + l = 17, -s + 2*l = -0*s + 7. Let n be (-90)/(-20) + (-1)/2. Solve 0 = -s*v - n + 1 for v. -1 Suppose -3*n - 10 = -5*o + 41, 5*o + n = 63. Suppose k = 5, 5*q + 0*k = -3*k + 235. Let c = q + -40. Solve -o + 32 = c*u for u. 5 Let c = 142 + -132. Suppose -5*s + 26 = w, -4*s + c + 9 = -w. Solve 0 = 2*l - s*l for l. 0 Let a = 4 + 13. Let g be (-14)/(-3)*3/2. Let z = 41 + -36. Solve 0 = z*h - g + a for h. -2 Let j be (-1 - -5) + -5 + 3. Let n(x) = -x**2 + 10*x - 4. Let r be n(9). Suppose r*v - v = 24. Solve h = -j + v for h. 4 Suppose 3*p = -2*m + 9, -10 = -5*m - 3*p + 8. Suppose 0*k + m*k + 4 = 2*z, 3*z - 13 = k. Solve 2 = -z*d - 3 for d. -1 Suppose 5*w - 14 = 3*d + 12, -3*d + 2*w - 23 = 0. Let l be (-17)/d - (-9)/(-21). Solve -l*z + z - 2 = 0 for z. -2 Suppose 35*u + 56 = 42*u. Solve 7*q + 1 = u for q. 1 Let g(m) = m**2 - 34*m + 105. Let c be g(31). Solve -c*v + 9 = -3 for v. 1 Let m = 11 - 7. Let t be ((-6)/m)/(1/(-2)). Let o = -4928 - -4928. Solve o*a = t*a for a. 0 Suppose -2*b = -f - 341, -59 = 2*b - 2*f - 405. Solve -2*p = b - 176 for p. 4 Let f be 4/14 - (-2970)/42. Let o = -71 + f. Solve 0 = -o*z + 2*z - 10 for z. 5 Let d(a) = 22*a - 158. Let z be d(9). Solve 7*j = 15*j + z for j. -5 Let t(s) = -41*s - 57. Let z be t(-2). Solve 3*d = -2*d + z for d. 5 Let s be (-4)/(-10) + (-2)/5. Let y(b) = b**3 + 41*b**2 - 42*b + 3. Let a be y(-42). Solve -a*g = -s*g for g. 0 Suppose 3*w = 5*f + 16, -2*w + 4*f = 2*w - 24. Solve o - 6 + w = 0 for o. -1 Let x(c) = 6*c + 3. Let j be x(2). Solve 3 = 16*v - j*v for v. 3 Suppose -5*q + 27 = 5*k - 363, -q = -4*k + 292. Solve 3 = 73*r - k*r for r. -3 Suppose 0 = h - 6*h + 4*s - 5, -21 = -2*h - 3*s. Let j(t) = -t**2 - 14*t - 4. Let n be j(-12). Solve -h*b + n = b for b. 5 Suppose 11*s - 19*s = 232. Let w = s + 33. Solve -q + 0*q + w = 0 for q. 4 Let z(t) = -t**2 - 6*t - 3. Let o be z(-6). Let y(l) = -2*l**3 - 6*l**2 - 2*l - 4. Let q be y(o). Solve q*k - k - 4 = 0 for k. 4 Suppose 5*v - 41 = -4*k, 24 = 3*v + 5*k - 11. Suppose 5*n = -v*d - 6 + 16, 4*n = -d + 8. Solve 0 = -0*l + n*l for l. 0 Let m = 25 + -22. Let c(u) = u**2 - 3*u. Let t be c(m). Solve l = -t*l for l. 0 Suppose 4*u + 5*o + 203 = -41, 3*o = -u - 61. Let j be u + (0 - 3) + 1. Let g be (180/j)/((-4)/14). Solve 3*s + g = s for s. -5 Let i(v) = v**3 + 37*v**2 - 5*v - 159. Let k be i(-37). Solve k*d - 9*d = 68 for d. 4 Suppose 0 = -v + 3*f + 11, -3*f + 0*f - 7 = v. Let q be (-2)/v - 3/((-6)/4). Solve -1 = 2*x + q for x. -1 Let u be (2/3)/(4/30). Suppose m + 3*a - 21 = 0, -4*a - 23 = -4*m - 35. Solve 0 = -m*o + 2*o + u for o. 5 Let k = -10 - -11. Let i be 1/2*(45 + k) - 3. Solve 8*z = 4*z - i for z. -5 Suppose 3*a = -3*a. Suppose 0 = -a*j - 5*j + 125. Solve -g + j = 4*g for g. 5 Suppose -2*a + 25 = 3*a. Suppose -4*d - 3*w = 5 + 10, -a*d - 5*w = 25. Solve -5*f + 4*f + 4 = d for f. 4 Let d = 18 + -14. Solve -10*i = -d*i - 30 for i. 5 Let p(m) = -m + 6. Let o be p(6). Suppose 13*t - 8*t - 70 = o. Solve 39 - t = -5*b for b. -5 Suppose -2 - 2 = -o. Suppose 4 = r - 3. Suppose -4*s + r*s - 2*u = 13, 3*u + 16 = s. Solve o = 3*c + s for c. 1 Suppose 5 = -0*i - i, 3*i + 6 = -3*y. Solve j - 7 + y = 0 for j. 4 Let t = -52 - -59. Suppose t*n - 10 = 11. Solve -n - 2 = 5*f for f. -1 Let v(t) = -t**3 - 3*t**2. Let a be (8 + -5)*1/(-1). Let j be v(a). Let r(x) = -x + 7. Let w be r(j). Solve 5*z = 2 - w for z. -1 Let r be ((-15)/(-9) + -1)*3. Suppose -2*o - 14 = -6*o + 2*d, 4*d - 20 = -4*o. Solve r + o = -2*p for p. -3 Let s = 91 - 85. Solve -s*y = -8*y - 10 for y. -5 Let d(b) = -5*b + 3. Let l be d(-5). Suppose -23 = h - l. Solve -6 = h*c - 26 for c. 4 Suppose 3*b - 4*t - 7 = 0, -5*b - 1 = -3*t - 9. Solve 0 = k - b + 3 for k. -2 Let s be 16/88 + 145/(-11). Let r(m) = 11*m**2 - 6*m**2 - 3 - m + 8*m**2 + m**3. Let y be r(s). Solve -y + 1 = -3*z for z. 3 Suppose 2*m + 4*j = 5 + 11, -m - j + 4 = 0. Suppose m = 4*a - 5 - 15. Solve a*d = 7 + 13 for d. 4 Let b(p) = p**2 + 5*p - 3. Let u be b(-6). Let y be 1/((-1)/((-12)/u)). Solve -o = -3*o - y for o. -2 Let g = 907 - 905. Solve 2*u = -g - 0 for u. -1 Let j(c) = c**2 - 11*c + 11. Let p be j(7). Let u = 23 + p. Suppose 3*m + u = 21. Solve m = 4*y - 9*y for y. -1 Suppose -2*s + 4 = 0, -31 - 25 = -4*q + 2*s. Let p = 1254 + -1252. Solve -p*n = -5*n - q for n. -5 Let t = 11698 + -11696. Let z(x) = x**3 - 6*x**2 + 2*x - 9. Let s be z(6). Solve t*y = s*y for y. 0 Let c(g) = -4*g**3 + 2*g**2 + g. Let w = 10 + -11. Let h be c(w). Let i be 7 - (h - (1 - 0)). Solve -i*p = -4*p for p. 0 Let m = -25 + 28. Let v = 19 + m. Suppose 3*f - 15 = -3*y, -v = -5*f + 3*y - 7*y. Solve f*r = 3*r - 2 for r. 2 Let n = 572 - 567. Solve 0*r = n*r for r. 0 Let m = -39 - -56. Suppose -2 + m = 5*p. Solve 2*c - 1 = p for c. 2 Suppose -33 = 6*x - 17*x. Suppose x*r - 12 = -0*r - 2*d, 0 = -2*d. Solve j + r = -0*j for j. -4 Let w = 17 - 17. Suppose -17 = -3*z + 2*k, -5*z + 3*k = -w*z - 28. Solve -u + 0 = z for u. -5 Suppose -10 = 3*h - 4. Let d be 2/h*-3*1. Let b(n) = 4*n - 11. Let g be b(6). Solve -d*v + g = 1 for v. 4 Suppose 0 = 33*w - 32*w. Solve w = -5*c - 2 + 17 for c. 3 Suppose -30*h = -510 - 780. Solve -37*z + 24 = -h*z for z. -4 Let q = 194 + -181. Solve q*v - 10*v = -12 for v. -4 Suppose -5*i + 38 = -12. Let n(c) = c - 7. Let l be n(i). Solve -l*g - 3 = -0 for g. -1 Suppose -2*b - 8 = -z - 47, 3*b + 4*z - 42 = 0. Let q = 21 - b. Solve -4*w + 1 = -q*w for w. 1 Let r = 15 - 19. Let b(d) = -d**2 - 2*d + 8. Let u be b(r). Solve 3*l + u*l + 3 = 0 for l. -1 Let t(a) = -a**2 + 11 + 16*a + 1 - 6*a + 3. Let q be t(11). Solve o = -q*o - 5 for o. -1 Let m(s) = -s**3 - 11*s**2 + 11*s - 5. Let k be m(-12). Solve -2*r - 15 = -k
{ "pile_set_name": "DM Mathematics" }
02? True Which is smaller: -142325019 or -1/2? -142325019 Which is smaller: -5783880/11 or -525808? -525808 Which is greater: 1 or -29/1795876? 1 Does -1129771 = -1129755? False Which is smaller: -7962/23027 or 0? -7962/23027 Is -1 greater than or equal to -7/43884489? False Which is bigger: 1/4 or -6917843? 1/4 Is -2/81966889 >= 1? False Is -75325767 bigger than -75325770? True Is 2/337 less than -13.6284? False Which is greater: 1 or -1/10776984? 1 Is -13190 greater than or equal to -13237? True Which is smaller: 234502550 or 234502552? 234502550 Is 7913182 greater than 7913186? False Is -3463986 at least as big as -3463984? False Which is bigger: -13 or 407100? 407100 Which is bigger: 25/70219 or -133/2? 25/70219 Is -20628103 equal to -20628104? False Is -1 bigger than -1/9943888? False Is 4878 at most 257.17? False Which is smaller: 3/70070 or 48.7? 3/70070 Are 60402 and 60346 equal? False Do 0.932704 and -2/11 have different values? True Which is bigger: 1 or 74/206789? 1 Is 177626 less than 5402? False Is 15780 equal to 13551? False Which is smaller: -2025 or -216327? -216327 Is 3 < -1768120? False Which is smaller: -62 or -0.5916914? -62 Which is bigger: -3/35015209 or -1? -3/35015209 Is -18407249 less than -18407249? False Which is smaller: -411579 or -411636? -411636 Which is bigger: -59469291 or -59469294? -59469291 Which is greater: -3434730 or -3434589? -3434589 Which is smaller: 60 or 18092769? 60 Are -129472211 and -129472209 nonequal? True Is -2 at most -324/149773? True Is -41238826 bigger than -41238826? False Is -7888 at most as big as -7790? True Which is greater: 2253747 or -0.2? 2253747 Is -1/2 less than 752044/15? True Is -6643 <= -7138? False Which is greater: 88323 or -0.1188? 88323 Which is smaller: 1702510 or 1703396? 1702510 Which is smaller: -6998/69299 or -1? -1 Is 587137 equal to 587009? False Is -218187/73 at least -2988? False Is 68359062 less than 68359059? False Which is bigger: 2/5 or -0.021112? 2/5 Which is smaller: -0.047214 or -285? -285 Which is smaller: -1166 or -187510/161? -1166 Which is bigger: 0 or 3/9046340? 3/9046340 Which is bigger: -4297/2 or -22.5351? -22.5351 Is -2 > -16673/5869? True Which is greater: 9278158 or 9278160? 9278160 Which is greater: 160849/6 or 26808? 160849/6 Are 0 and -39/835180 equal? False Which is smaller: -4/2943485 or -0.2? -0.2 Is -251/230654 at most -1? False Which is bigger: 49.2 or -80951/5? 49.2 Which is bigger: -536912 or -536924? -536912 Which is bigger: -0.1 or -0.153396886? -0.1 Which is bigger: -49541541 or -18? -18 Which is bigger: 5278.9 or -415? 5278.9 Are 109122831 and 109122831 equal? True Is 1 less than 4/93146453? False Which is greater: 0 or 3/1769366? 3/1769366 Is -3/188 > -11127? True Which is bigger: 1 or 160/260649? 1 Which is smaller: 4709920/359 or 13120? 4709920/359 Which is smaller: -2272 or -604? -2272 Which is greater: -5803826 or -21? -21 Are 70 and 32933/462 equal? False Which is bigger: 3485404 or 80164268/23? 3485404 Are -22205979/13 and -1708151 unequal? True Which is smaller: 454281 or 454275? 454275 Does -8507/788 = -12? False Is 0 at least as big as 206/596705? False Which is smaller: -1 or -2/418388297? -1 Is -20409606 less than 3? True Which is greater: -23006 or -1/67? -1/67 Which is smaller: 81399/9011 or 9? 9 Which is greater: -186/25 or 6/353? 6/353 Which is smaller: -15715906 or -15715929? -15715929 Which is smaller: 0.2 or -18810951? -18810951 Which is smaller: 0 or 6/30894089? 0 Is 1 at most as big as 174/168209? False Which is greater: 6249 or 5248? 6249 Is -191.59 <= 2/521? True Is 1758207 > 1758211? False Which is smaller: 38 or 163936/4403? 163936/4403 Is 19944102 < 19944102? False Are 3 and -2151005 nonequal? True Which is bigger: 1 or 111826781? 111826781 Do 1596152 and 1596153 have the same value? False Which is bigger: 59409878/15 or 3960658? 59409878/15 Which is greater: 879/161 or 0.35? 879/161 Is 137137 less than or equal to 6/53? False Which is greater: 827597 or 824849? 827597 Are 7 and 10627/1856 equal? False Which is bigger: 623 or 43667? 43667 Is 1217142 < 1217145? True Is 2/73 greater than 33457? False Which is smaller: 642302 or 642294? 642294 Is 307960292 not equal to 307960292? False Which is greater: -6/153537323 or 1? 1 Is -1 at most -128195.816? False Are 27933306 and 13 equal? False Is -6319431 < -6319439? False Which is greater: 173481 or -0.0336? 173481 Is 1 not equal to 1/6874229? True Which is bigger: -2/190988409 or 0? 0 Which is smaller: -8 or -139004349? -139004349 Which is bigger: -14 or -20957730? -14 Which is bigger: 80385 or 79952? 80385 Which is bigger: -5686147 or -5686144? -5686144 Which is greater: 282/162757 or 1? 1 Is -734723 at most as big as -734653? True Are 96.358 and 450 non-equal? True Is 5585 >= 8042? False Is -3289450 greater than or equal to -3289442? False Which is bigger: 9278195 or 0.1? 9278195 Is -19 at most 17689? True Is -3858514 greater than -3858507? False Which is greater: 284525 or -145? 284525 Is -2470 < -167903/68? True Which is smaller: -1186/3 or 1770? -1186/3 Which is greater: 16529213 or 16529214? 16529214 Is -399343 at most as big as -399704? False Is -7 at least -1114822? True Which is bigger: 4 or 34245672? 34245672 Does 171532999 = 171533003? False Is -20254 at least as big as -11866? False Which is smaller: -200.96797 or 0? -200.96797 Which is greater: -160840941 or -160840940? -160840940 Which is bigger: 2799402 or 2799593? 2799593 Are -2810628 and -19674386/7 non-equal? True Which is smaller: -67733216 or -0.2? -67733216 Is 4190898 at most as big as 4190897? False Is 68 greater than -4340/3? True Which is greater: 0 or -21/238037839? 0 Which is bigger: -5/108550216 or -1? -5/108550216 Is 134/368185 >= 1? False Which is greater: 2970486 or 2970449? 2970486 Is -1 less than -402/1990441? True Is 13/61 bigger than 0.93987? False Which is bigger: 19344/1099 or 19? 19 Which is smaller: -955 or 18/1093? -955 Is -2318123 less than -2318086? True Which is smaller: 1496 or 71/407? 71/407 Which is smaller: -1 or -34/459341? -1 Which is smaller: -246612 or -75? -246612 Does 15241874 = 121934985/8? False Which is smaller: 100349/353 or 285? 100349/353 Is -23079 less than -2515549/109? True Is -38385827 less than -38385827? False Which is greater: 103777 or 103764? 103777 Which is bigger: 93 or 9562.8? 9562.8 Is 14883768/41 greater than 363018? True Are 2/98311871 and 1 non-equal? True Which is smaller: 582353 or 582444? 582353 Which is greater: -134343167 or -134343168? -134343167 Which is greater: 0 or 1/170059337? 1/170059337 Which is smaller: -23840081 or 21? -23840081 Which is smaller: 270786404 or 270786403? 270786403 Is 1 less than 26/1427739? False Which is smaller: -30721 or 312? -30721 Is 1 < 4/19189035? False Is -589/6287 <= 1? True Which is greater: 52 or 26992? 26992 Which is smaller: -7.042 or 373? -7.042 Which is smaller: -2.6 or -191.42065? -191.42065 Are 0.12914 and -32370 unequal? True Which is bigger: -1/206043766 or -1? -1/206043766 Is 1 greater than or equal to -98/362967? True Is -0.06 smaller than 31333282? True Which is smaller: -20/7922073 or 1? -20/7922073 Which is smaller: 0 or 3/9326351? 0 Which is smaller: -1 or 2/196965769? -1 Which is smaller: -47090 or -46188? -47090 Is -0.2 at least -10405958? True Which is smaller: 1/2 or 3494816? 1/2 Which is smaller: 4125953/38 or 108577? 108577 Is 0 less than 17/19103005? True Are -3016199 and -3016196 equal? False Are 1861 and 419 nonequal? True Is 5338342 greater than 5338362? False Which is bigger: -150933868 or -150933869? -150933868 Which is greater: 0 or 2/854540359? 2/854540359 Which is smaller: 1/723 or 0.08398? 1/723 Is -14/26894291 at least -1? True Does 58137 = 58192? False Which is smaller: 1011 or 408191? 1011 Which is smaller: 1 or -7/6688679? -7/6688679 Which is bigger: 181 or 93029/518? 181 Are -2763 and -3294 unequal? True Which is greater: -82543044 or -82543045? -82543044 Which is smaller: -1 or -541/390178? -1 Is -944475 greater than or equal to -944475? True Is 1 greater than 158/2534447? True Which is bigger: 1307 or -27.7918? 1307 Is 1446972081 at most as big as 1446972081? True Do -61 and -29317/478 have the same value? False Is -1 bigger than -489/123565? False Is 2 less
{ "pile_set_name": "DM Mathematics" }
, -g - 5*v = 18 for g. 2 Let x(t) be the second derivative of 7*t**3 - 283*t**2/2 - 5*t + 2. Let s be x(7). Solve 33 = -2*f + 5*u, 4*f - 2*u = -3*u - s for f. -4 Let z(q) = -28 + q**3 + 6*q**2 - 22 + 7*q**2 + 6*q - q**2. Let a be z(-11). Solve 0 = a*o - 4*i + 31, -o + i - 10 = o for o. -3 Let i(k) = -207*k + 1259. Let q be i(6). Solve 5*m - 2*h = 36 - q, 5*h + 10 = 5*m for m. 5 Let t be -20 - -19 - (-295)/2*-2. Let i = t - -306. Let h be 88/14 - (-2)/(-7). Solve -5*u = 4*o - i, -5*o + 2*o + h = 3*u for o. 0 Suppose 150*b - 924 = -4*b. Solve -8 = 3*m + 4*z, 72*z - 75*z - b = -2*m for m. 0 Let q = 15275 + -15272. Solve -q*m + 0 = 2*n - 25, -2*m = -10 for n. 5 Let y be (-10)/8*(240/(-8) + 26). Solve 1 = -a - t, -t = y*a + 7 + 6 for a. -3 Let g = 24 + 355. Let o = g - 376. Solve -2*d = -o*v - d - 6, -2*v - d + 1 = 0 for v. -1 Let c be 6/21 + (-1485)/(-21). Suppose 0 = -20*y + 9 + c. Solve y*w = -3*o + 16, 16 = 4*o + 3*w - 3 for o. 4 Let w = -5278 + 5280. Solve -35*v + w*b + 12 = -38*v, -16 = 4*v + b for v. -4 Let k be (-5)/(-2) + (-143)/(-22) + -7. Solve k*z + v + 4 = 18, 9 = z + v for z. 5 Let u be (65 + -64)/((-3)/(-96)). Solve 4*z = -5*x - 70 + 34, u = -5*z - 3*x for z. -4 Let v(k) = -k**2 - 4*k + 63. Let g be v(6). Solve r = 5*n + 13, -2*n + 2*r - 16 = g*n for n. -2 Suppose -w + 84 = 2*w. Suppose -2*j - j = -4*x + w, -j = x. Let u be x/2 + (-5)/20*-4. Solve 3*f + 3 = 0, 0 = u*m - 3*f - 2*f + 7 for m. -4 Let i be 37/(-185) + (-4)/5. Let r be i/((-3)/24) - 3. Suppose 4*g + 0*g = 12. Solve -r*o = -10, -g*o - 2 = 5*q + o for q. -2 Let b(z) = -2*z**3 - 3*z**2 - 4*z - 1. Let c be b(-2). Suppose c*r = -0*r - 10*r. Solve r = 2*a + 4*l + 12, -10 = -a + 5*a + l for a. -2 Let o(c) = c**2 + 10*c + 21. Let g be o(-8). Suppose 0 = -2*h - 1 + g. Let m = -2 - -5. Solve -h*w = p - m, 3*p + 2*w = -2*w + 5 for p. -1 Let c(j) = -15*j + 4*j + 5 + 2*j**2 - 7*j + 6*j. Let y be c(6). Solve -12 = -4*g - 3*i, -5*g + 15 = -0*g + y*i for g. 3 Let w(a) = a + 9. Suppose 0 = -8*q - 128 + 88. Let m be w(q). Solve -m*o = 5*y - 28, 5*o = -0*y + 2*y + 2 for o. 2 Suppose -212*o + 554 = -211*o. Let x = o - 548. Solve 2*z + x + 14 = -2*m, -5 = 4*m - 3*z for m. -5 Suppose 59*f = -103 + 280. Solve -f*m - 15 = 0, 3*m = 3*c + 6*m + 3 for c. 4 Let o(l) = 259*l**2 + l - 1. Let t be o(1). Suppose -5*y + 276 + 194 = -a, 3*y - t = -4*a. Let q = -64 + y. Solve -5*h = -4*c - q, 2*h + 2*c - 5 - 3 = 0 for h. 5 Suppose -553 - 399 = -19*l - 37*l. Solve k = -3*w - l, 3*k + 10 = -5*w + 5*k for w. -4 Let a = -45995 - -46112. Solve m - 7 = 5*j, a = -3*m + 5*j + 118 for m. -3 Let a be ((-18)/10)/(-12 + (-59)/(-5)). Let w be (-1 - -1 - 5) + a. Solve -w*i + 2*k = 10, 6*i + 15 = 3*i - k for i. -4 Suppose -2*h = 5*w - 1, 14*w = -5*h + 18*w + 19. Solve l - 20 = h*i - 0*i, -2*i = 3*l - 5 for i. -5 Suppose -z = 32 - 14. Let g be (-12 - z)*(-2)/(-3). Suppose -g*y = 5*n - n - 20, 4*y - n - 5 = 0. Solve -5*i = c - 18, -3*i = -y*c - 1 - 15 for i. 4 Let u be 14/147 + 400/210. Solve -2*d - 10*r = -9*r - 5, -u*r = -10 for d. 0 Let a(r) = 3*r**2 - 20*r + 12. Let v be a(8). Let k = 41 - v. Let z be k/6 + (-56)/(-16). Solve -2*c = -4*y - 18, -c + z*y + 19 = -5*c for c. -1 Suppose -g - 3*a + 11 = -4*a, -4*g + 65 = 3*a. Suppose g*x - 363 = -19*x. Solve x = 4*p - y, -2*p + 5 + 3 = 2*y for p. 3 Suppose j - 15 = -2*a, 2*a + 6*j - j = 35. Suppose 10*b = 11*b - a. Solve -5*q + 11 = -4*r, 0 = -b*r + 5*q - q - 7 for r. 1 Let b(s) = 52*s - 308. Let l be b(6). Solve 5*w - l*o - 13 = 2*w, o = w - 4 for w. 3 Suppose 0 = -3*p - i + 5, -2*p + p + i = -7. Let r be ((-39)/52)/((-2)/8). Suppose r*h - a - 9 = -2, 3*a + 3 = 3*h. Solve p*x = -h*g + 15, -2*g + 2 = -g for x. 3 Suppose 0*r + 16 = 2*r. Suppose 608 = 121*t - 191*t + 108*t. Solve -4*o = 2*d + r, 3*d - t - 2 = 4*o for d. 2 Let v be 2 + 3 + -19 + 30. Suppose v*k = 23*k - 28. Solve 5*l = -k*g + 1, l - 6*l = -g - 6 for g. -1 Let w be (24/(-18))/(5/((-90)/8)). Let v = -737 - -747. Solve -3*p = d + 3, w*p - 2*p = -4*d + v for p. -2 Suppose 9*o - 17*o = -824. Suppose 68 = 107*d - o*d. Solve 5*h = c + d, -5*h - 3*c - 4 + 13 = 0 for h. 3 Let v(j) = 3 + 0*j + 17*j + 87*j**2 + 4*j - 85*j**2. Let q be v(-11). Suppose -q = -12*t + 5*t. Solve k - 2*y + 15 = -0*k, 0 = -t*k + 5*y - 35 for k. -5 Let v(j) = -145*j + 3494. Let p be v(24). Solve 11*g - 9*g + 2*b - p = 0, -5*b + 11 = -3*g for g. 3 Let x be (-10)/(-4) + (-6)/(-12). Suppose 21 = x*w - 10*w. Let p be w/(-1 + -11)*(6 - 2). Solve 5*i - 1 = 3*b, 3*i + p = -2*b + 13 for i. 2 Let d = -10908 - -10912. Solve 3*j = -c + 5, d*c + 2*j + 42 = 32 for c. -4 Let o = 3145 - 3149. Let s be (-30)/4*(-8)/(-6). Let c be s - -12 - o/2. Solve 7 = -2*w + 3*u, -10 = 5*w - 2*w - c*u for w. -2 Let n(c) = -444*c + 427*c + 3*c**2 + 20 - 4*c**2. Let q be n(-17). Solve -5*j + 5*z - q = -0*j, 0 = -4*j - 3*z + 12 for j. 0 Let x = -1261 - -1263. Solve -n + 4*i - 8*i - 13 = 0, -x*n + 26 = -5*i for n. 3 Let p be (-13)/1 + 2775/185. Solve 0 = 4*j - p*f + 12, 5*j = -9*f + 4*f + 15 for j. -1 Suppose 8*a + 139 + 181 = 0. Let b = a + 42. Solve -3*d - b*d - 2 = -2*i, 4*i - 4*d = -8 for i. -4 Let a(f) = 5*f - 7. Let r be a(5). Suppose -5*z + r = -2. Suppose -z*h - 18 = -38. Solve 5*u + 4 = 2*c - 14, -h*u - 14 = -c for u. -2 Suppose -1202 = -2*h - 2*h - 5*u, -4*h = -4*u - 1184. Let m = h + -166. Suppose -m*c = -137*c + 10. Solve -j - c*r - 9 = 0, -5*j - 5*r + r - 15 = 0 for j. 1 Let o = 166 - 106. Suppose 17*r - 5*r = o. Solve j = -c + 3*c - 13, r*c - j = 28 for c. 5 Let l(q) = 9*q + 32. Let y be l(-3). Suppose -231 = -4*b - 3*m, b - 52 = 2*m + 3*m. Let w = b + -53. Solve 3*d + y = 5*p + d, 0 = w*p + d - 4 for p. 1 Suppose 0 = 17*p + 34*p + 21*p - 144. Solve 3*a = -5*u - 30, p*u - a = u + 2 for u. -3 Let y(k) = k**3 + 3*k**2 - 92*k - 41. Let r be y(-11). Solve -5*h + 4*v = 9, 0 = h - 52*v + 50*v + r for h. -1 Let h = 21664 - 21660. Solve 11 = c + h*v, -6*c - 8 = -8*c - v for c. 3 Suppose -3*c = -3 - 12. Let j be c - (0/3 + -3 - -2). Suppose 0 = -4*t + 26 - j. Solve t*g - 2*s - 10 = -s, 2*g + 3*s = 21 for g. 3 Suppose 10*o = 9*o - 2*n + 4, 5*n = o - 25. Let p be (o/(-4))/(((-39)/6)/13). Solve p*i - 13 = l + 2*l, -3 = -3*i - 3*l for i. 2 Let f be (-73)/(-73) - (0 - -2)*-2. Solve n + g + 7 = f*n, -3*g = 5*n - 30 for n. 3 Suppose 2*y - 4*c = 14, -3*c + 47 = -2*y + 69. Solve 4*p = -8, 1 = 22*l - y*l - 2*p for l. 3 Suppose 0 = -m + 3*w + 1, -56 + 41 = -3*m - 3*w. Solve 2*n - m*k + 1 + 3 = 0, k - 3 = 0 for n. 4 Let n be 14*(12/42 - 0). Suppose -2*f + 2*i = -10, 0*f + n*f + 3*i = -1. Solve -2*s - f = -q, -3*s + 2*q - 4 = -s for s. 0 Suppose 4*b = 2*v - 40, -15*b + 12 = -11*b. Solve -4 = -h, 4*x - v = x - 5*h for x. 2 Let m(r) = -r**3 + 4*r**2 + 8*r + 2. Let w be m(5). Suppose w*b - 15 = 14*b. Solve b*l - d + 5 = 0, 0*d - 4*d - 20 = 0 for l. -2 Let o(f) = -f**2 - 5*f + 2. Let i be o(-5). Suppose 12*z = i*z + 20. Solve -4*t + 8 = z*u - 8, 0 = -4*t + 5*u + 16 for t. 4 Suppose -u + 0*y = 3*y - 9, 4*u - 2*y = 8. Solve u*d = -m - 17, 95*m - 98*m - 3*d = 21 for m. -2 Suppose 3*b = -15, -g = -1055*b + 1050*b - 25. Let y = -6 + 10. Suppose 11 = -3*h - 1, g = -y*i - 2*h + 4. Solve -19 = w + 5*q, 0 = -4*w + i*q - 8*q - 31 for w. -4 Let v be (3/((-27)/3))/((-65)/2340). Solve v = 4*g + 4*i, -79*g + 75*g + 10 = 2*i for g. 2 Let q be ((-126)/(-588) - (-9)/(-42))/(-1). Solve -9*a - 4*o = -14*a, q = -o for a. 0 Let w(i) = 6*i - 47. Let b be w(8). Let d be 204/(-34) - (b + -29). Solve 0*z + 5*z + f + d = 0, -2 = -2*z + 5*f for z. -4 Let s(u) = -35*u + 292. Let t be s(8). Solve -t = -3*q + 3*n, -3*q + 4*n = -5*q - 4 for q. 2 Suppose 5*u - 73 - 77 = -2*m, m - u - 82 = 0. Suppose 122 = 7*z + m. Solve 4*k + 3*b - 22 = 2*b, -z = -2*k + 2*b for k. 5 Suppose -58*i - 42 = -62*i + 2*y, -27 = -2*i - y. Solve -3*a - 6 = 5*d, 0 = -4*a - 2*d + 4 - i for a. -2 Suppose -15*r + 10 = -10*r + 2*u, 0 = 2*u. Let b = 9 + -4. Solve r*k = 10, -b*k + 17 + 8 = -3*j for j. 0 Let y(b) = b**3 - 48*b**2 - 36*b - 570. Let a be y(49). Solve -68*x - 5*u + 8 = -a*x, 0 = -x + 4*u - 10 for x. -2 Let h = 61 - 37. Let m be 34/(-289) - 6/153*-54. Solve h = m*w - 3*c + 8, 3*w - c - 10 = 0 for w. 2 Let t be 45/3*(1 + 0). Suppose -w + 7 = -t. Suppose 0 = -21*f + 141 - 36. Solve -f*x + w = 3*v, 14 = 2*v + 3*x - 0 for v. 4 Let u be (-1*3
{ "pile_set_name": "DM Mathematics" }
- 2*f**4 + f**4 + (f**3 - 2*f**3 + 2*f**3)*(4 - 4 + 5*f). -22*f**4 Expand (41 + 10 + 113)*(2*p + 0*p - 3*p)*(12*p - 20 + 20). -1968*p**2 Expand -2*q - 7*q**2 + 4*q - 20*q**2 + (1 - 5 - 1)*(2*q**2 + 21*q**2 + 30*q**2). -292*q**2 + 2*q Expand (-1 + 1 + h)*(-6 + 18 - 50)*(8 + 76 - 38). -1748*h Expand (-5*k**3 - k**3 + 5*k**3)*(-3 + 1 + 1) + (-77 - 68 + 140)*(0 + 0 + 2*k**3) + 531*k + 35*k**3 - 531*k. 26*k**3 Expand 4771*m - 8269*m - 9118*m + (-4*m + m + 4*m)*(1 + 0 + 1) + (-2 + 3 + 1)*(m + 0 + 0). -12612*m Expand -5*m**4 + 13*m**4 - 4*m**4 + (0*m**2 + 19*m**2 + 44*m**2)*(m**2 + 0*m + 0*m). 67*m**4 Expand 2*x**2 - 4*x**2 + 3*x**2 - 4*x**2 + 2*x**2 - x**2 + (-x + 0*x + 2*x)*(0*x - 4*x + 2*x) + 8*x**2 + 6*x - 6*x + (5*x - 5*x + x)*(2*x - 2 + 2). 6*x**2 Expand (-3 + 6 + 1)*(-11 - 3*o**2 + 6 - 10) + (5 + 3 - 6)*(13*o**2 - 6*o**2 + 2*o**2). 6*o**2 - 60 Expand (-3 - 3*i + 3)*(-173 - 175 + 12*i + 334). -36*i**2 + 42*i Expand (-41*k - 125*k - 20*k)*(2 - 2 - k**2)*(-2*k - k + 6*k + (-1 + 2*k + 1)*(-4 + 5 + 0) + 4 - 4 + k). 1116*k**4 Expand (-2 + 2 + 2)*(3 - h**3 - 3) - 1116*h - 669*h - 2 + 1771*h - 968*h**3. -970*h**3 - 14*h - 2 Expand (-3094*l**2 + 2887*l**2 + 5475*l**2)*(l**2 + 2*l**2 - l**2 + (-2*l + l + 0*l)*(-4 + l + 4) - 4*l - 2*l**2 + 4*l - 1 + 3*l**2 + 1). 10536*l**4 Expand (5*y**3 + 631*y - 631*y)*(-8*y + 0*y - 4*y). -60*y**4 Expand (-3582*o + 3021*o - 2709*o)*(-2*o**2 - 2*o + 2*o). 6540*o**3 Expand ((-u - 2 + 2)*(-16 - 14 + 3) - u + 3*u + 3*u - 4*u + 9*u - 2*u)*(3 - 2 - 3). -70*u Expand (2*a + 3*a + 0*a)*(133*a**3 - 9*a**3 + 35*a**3 + (0*a**3 + 2*a**3 - 4*a**3)*(0 - 1 - 1) - 2 - 2*a**3 + 2). 805*a**4 Expand (25*m + 150934 + 22*m - 150921)*(-6*m**4 - 4*m**4 - m**3 + 7*m**4). -141*m**5 - 86*m**4 - 13*m**3 Expand ((-1 + 1 - 1)*(1 + 2 - 2) + (-3 + 3 + 2)*(0 + 0 - 1) + 2 - 1 + 1)*(l**2 + 7158 - 7261 - 5*l**2). 4*l**2 + 103 Expand (8213*g - 8213*g + 311*g**2 + (0*g + 6*g - 5*g)*(5*g - 2*g - 4*g) + g**2 - g**2 + g**2)*(-6 - 5 + 4). -2177*g**2 Expand (4 - 33 + 6)*(-x**3 + 12*x**3 + 13*x**3). -552*x**3 Expand -4*r**5 + 6*r**5 + 7*r**5 + (57*r**5 + 13*r**4 - 13*r**4)*(-2 + 7 + 0). 294*r**5 Expand 0 - 2 - 826*z**4 + 945*z**4 + (z - z + z**3)*(3*z - 4 + 4). 122*z**4 - 2 Expand (2*t - 3*t + 3*t)*(22*t - 4*t**4 - 22*t) + 10*t**5 + 40*t**5 + 18*t**5. 60*t**5 Expand (d + 2*d - 5*d + (-5*d - 2*d + 5*d)*(3 - 3 - 1) + 25 - 8*d - 25 + (13 - 5*d - 13)*(5 - 5 - 1))*(-28 + 30 + 15). -51*d Expand (99 + 52 + 119)*(-a + a + a) - 6*a + 4*a - 7*a. 261*a Expand (-2 + 2 - d)*(-d + 2*d + d) + d**2 + 0*d**2 + d**2 + (149 - 29406*d + 29404*d + 60)*(-2 + 2 - d). 2*d**2 - 209*d Expand (0*h - h - h + (-4 + 0 + 5)*(1 - 1 + 3*h))*(-1 + 2*h + 1). 2*h**2 Expand ((-2*a + a + 3*a)*(-a + a**2 + a) + (13*a**2 - 37*a**2 - 32*a**2)*(-3*a + 2*a + 2*a) + 4*a**3 - 2*a**3 - 4*a**3)*(-2 + 1 + 2). -56*a**3 Expand (5 - 5 + 2*z**3)*(-4 + 2 + 3) + (-4*z + 3*z + 0*z)*(-2*z**2 + 2*z - 2*z) - 23062 + 23062 - 107*z**3. -103*z**3 Expand (3*c**4 - 3*c**4 - 2*c**4 + (2 + 2 - 3)*(11*c**4 - 4*c**4 + 0*c**4))*(18*c - 31*c + 99*c + 39 - 28*c). 290*c**5 + 195*c**4 Expand (-2*s + s - 2*s)*(2*s**2 + s**2 - 5*s**2)*(-16294 + 16294 + 151*s + (-1 - 4 + 3)*(2*s + 0*s - s) + 2 - 2 + s). 900*s**4 Expand (-48*p + 32428 - 32428)*(21*p**2 + 2*p**2 - 2*p**2). -1008*p**3 Expand (13*n**2 - 13*n**2 + 2*n**3)*(-318 - 484 - 12). -1628*n**3 Expand -3*n + 3*n + 5*n + n + 0*n + 0*n + (-3 - 1 + 3)*(-n + 0*n - n) + n + 2 - 2 + n + 3 - 3 + 2*n - 2*n - 2*n + 559 - 88*n - 559. -80*n Expand (-3 - 2*k**4 + 3)*(-2*k - k + 4*k) + k**5 + k**2 - k**2 - k**5 - 4*k**5 + 4*k**5 - 3*k - k**5 + 3*k + (-855*k**2 - 145563 + 145563)*(-1 + 1 - 2*k**3). 1707*k**5 Expand 6*c**2 - 7*c**2 - 10*c**2 + (3 + 2 - 2)*(-c**2 + c**2 - 2*c**2) + (-7*c + 8*c + 2*c)*(6*c + 0*c - 3*c). -8*c**2 Expand (-603 + 1233 - 551 + r)*(-2*r**2 + 5*r**2 - r**2). 2*r**3 + 158*r**2 Expand -6*n**5 + 3*n**5 + 0*n**5 + (-3*n**2 + 4*n**2 - 5*n**2)*(261*n**3 + 44*n**3 - 71*n**3). -939*n**5 Expand ((-1 + 4 - 4)*(4 - 2 - 3) - 11 - 7 - 3)*(1938 - 1938 - 63*v**4). 1260*v**4 Expand 5*m**3 + 7*m**3 + 2*m**3 + (9*m - 5*m - 13*m)*(0*m**2 - 2*m**2 + 5*m**2). -13*m**3 Expand (5 + 11 + 7 + (-1 + 2 + 1)*(-1 + 2 + 1) + 0 - 2 + 1 - 3 + 0 + 1 + 0 - 1 + 0)*(2*p**4 + 2*p**2 - 2*p**2). 46*p**4 Expand n**3 - n**4 + 297*n**2 + 1478 - 1478 + (-2*n + 0*n - n)*(2*n**3 - 3*n**3 + 2*n**3). -4*n**4 + n**3 + 297*n**2 Expand (-11*o - 23 + 23)*((4 - 3 + 2)*(2*o - 2*o + o) + 2*o + o - 5*o + 3*o + 0*o + 3*o - 9*o + 1 + 1 + 4*o). -22*o**2 - 22*o Expand (-79*h + 46213 - 1762 - 84*h - 1810 + 164*h)*(0*h - h**2 + 0*h). -h**3 - 42641*h**2 Expand -947*j**5 - 1005*j**5 + 2128*j**5 + (-j**5 - 3*j**4 + 3*j**4)*(3 - 6 + 2) + 7*j**5 + j**2 - 3*j**5 + 3*j**5. 184*j**5 + j**2 Expand -93451 + 93451 + 69*s**2 + (-2*s - s + 2*s)*(-3*s + s + 4*s) + 0 - 2*s**2 + 0. 65*s**2 Expand -6*p**4 + 3*p**4 + 0*p**4 + (3 + 2*p - 3)*(0*p**3 + 4*p**3 - 3*p**3) + 37*p - 37*p + 32*p + 833*p**4 - 32*p + 18854*p**4. 19686*p**4 Expand (3 - 2*a - 3)*(0 + 0 + 3*a) - 302*a**2 + 150 - 150. -308*a**2 Expand (-h + 5*h - 2*h)*(846 + 5*h**2 + 912 - 1688) - 5*h**3 + 5*h - 5*h. 5*h**3 + 140*h Expand (2426 - 1064 - 1103)*(0 + 0 - x)*(2 + 3 - 6). 259*x Expand 183 + 3*w**2 - 122 + 135 + 3*w**2 - w**2 - w**2 + (-3*w - 3*w + 4*w)*(2 - 2*w - 2). 8*w**2 + 196 Expand (-18*p**2 - 7*p + 7*p)*(4 + 6*p - 3 + 6*p)*(49 + 24 + 106). -38664*p**3 - 3222*p**2 Expand (0 - 4 + 3)*(4 - 1 - 4)*(465*g + 4590935 - 4590935). 465*g Expand (9*d + 6*d - 4*d)*(42 + 85 + 87). 2354*d Expand (-2*j + 6*j - 3*j)*(-71*j + 186*j - 70*j - 22416*j**3 - 45*j). -22416*j**4 Expand (-v**2 - 3*v + 3*v)*(81 + 83 - 302)*(2*v**3 + 0*v**3 - 7*v**3 + (3*v - 3*v - v)*(2*v**2 - v**2 - 3*v**2) - 2*v**3 + 0*v + 0*v). -690*v**5 Expand (3*y**3 - 2*y**3 - 2*y**3)*(3784*y + 7338*y - 4708*y + 10911*y + (-y - y + 0*y)*(4 - 1 - 5)). -17329*y**4 Expand (53*k**2 + 27*k**2 - 43*k**2)*(34*k**2 + 23*k**2 + 14*k**2). 2627*k**4 Expand (0 + 0 - 3*s)*(-6*s**3 + 3*s**3 + s**3) + 2*s**4 - 2*s + 2*s - 2 + 2 - s**4 + (42*s - 42*s - 166*s**2)*(2 - s**2 - 2). 173*s**4 Expand (f**2 + 4*f**2 - 2*f**2)*(0*f**3 + f**3 - 2*f**3)*(-1722 + 837 + 804). 243*f**5 Expand 5*n**5 - 4*n - 2 - 6*n**5 - 17*n**2 + 12*n**2 - 2*n**5 + 2*n**4 - 2*n**4 + (-4 + 2 + 3)*(n**5 - n**5 - 2*n**5) - 3*n**5 + 3*n**5 + n**5. -4*n**5 - 5*n**2 - 4*n - 2 Expand (2*u - 5*u - 4*u)*(65 - 11*u - 30 - 36 - 3*u + 5*u - u + (0 - 2 + 1)*(4*u - 4*u - 3*u)). 49*u**2 + 7*u Expand (4*s - 2*s - s)*(-1885 - 1888 + 460*s**4 + 3772). 460*s**5 - s Expand (0 - 3 + 1)*(-1 + 3 + 5)*(0*b + 2*b - 3*b)*(27*b**4 - 10*b**4 + 82*b**4). 1386*b**5 Expand (24*c**4 + 13*c**4 + c**4 + (2*c**4 + 5 - 5)*(0 - 1 - 1))*(81*c + 67*c - 50*c - 2). 3332*c**5 - 68*c**4 Expand (7*r - 7*r + 5*r**3)*(-3 + 1 - 6) - 2*r**3 + 27*r**3 + 6*r**3. -9*r**3 Expand (10 - 10 - 12*z)*(-2*z + z + 0*z + (4*z + 3*z - 4*z)*(-2 - 2 + 3)) + (-5*z - z + 0*z)*(z + 0*z + 6*z). 6*z**2 Expand (-2*h**2 + 0*h**2 + h**2 + (-9*h + 4*h + 11*h)*(-1839*h - 397 + 786 - 389))*(h - 3*h + 0*h). 22070*h**3 Expand (6 + 1 + 6)*(-8 - 6*v**3 - 13 + 16). -78*v**3 - 65 Expand (0 + 4*z**2 + 0)*(-2 + 18*z - 1 + 18*z). 144*z**3 - 12*z**2 Expand (-2*r + 2*r - 11*r - 2*r)*(22256 + 5*r - 22250 - 3*r). -26*r**2 - 78*r Expand (4*i + 4*i - 8 + 6)*(28361*i - 28361*i + 1183*i**3 + 769*i**3). 15616*i**4 - 3904*i**3 Expand (-17*r**2 + 17*r**2 - 3*r**4)*(4 - 6 - 2)*(-2 - 3 + 6)*(1 - 1 + 2)*(-132*r + 89*r + 87*r). 1056*r**5 Expand (-3 - 1 + 2)*(0 - 2 - 1)*(63 - 63 + 41*a)*(1 + 3 - 3). 246*a Expand ((-2397*c + 1027*c + 909*c)*(-6 - 1 + 1) - 4*c + 3*c + 3*c + (-1 + 1 - 1)*(3*c - 5*c + c))*(0 - c**2 + 0). -2769*c**3 Expand (-362 + 147 + 75)*(3 - 2 + 0)*(-2 - 5*h + 2). 700*h Expand -34*w - 56*w - 128*w - w + 0*w + 0*w + (-2*w - 4*w + 4*w)*(1 - 13 + 0) - w - 3 + 3 + (5 - 2 - 4)*(-3*w + 3*w + w) - 4*w + 2*w + w - 5 + 5 - 2*w. -200*w Expand (16917609 - 16917609 - 4817*d)*(2 - 2 - d**3). 4817*d**4 Expand 3*o**2 + o**4 - 3*o**2 + (4*o**3 - 4*o + 4*o)*(20 - 45 - 13)*(3*o + 3 - 3). -455*o**4 Expand (-2 - 4 - 1)*(-174*w**5 + 51*w**5 - 10*w**5). 931*w**5 Expand (587*k**2 - 295*k**2 - 164*k - 290*k**2)*(-3*k**2 - k**2 + 3*k**2). -2*k**4 + 164*k**3 Expand (6 - 7 - 1)*(27*u + 8*u + 44*u)*(-2*u**2 + 0*u**2 + 4*u**2). -316*u**3 Expand (5 - 2 - 2)*(222*v**2 - 32*v**3 - 222*v**2
{ "pile_set_name": "DM Mathematics" }
- 116 = -5*z - 66. Solve 4*c = -g - h for c. -4 Let x(f) = -f**2 + 4*f + 16. Let u be x(-5). Suppose 0 = -4*o - 2*q + 150, 0*o - 5*o = q - 180. Let k = o + u. Solve 0 = -3*g + k*g for g. 0 Let h = -27 + 34. Suppose 1 = -6*a + h. Solve -6 = -5*b - a for b. 1 Suppose -9*y = -6*y - 9. Suppose 0*h + 3*t = -y*h - 9, -17 = 4*h + 5*t. Suppose -7*c + 3*c + h*m = -12, -m - 12 = -5*c. Solve -c*u = 2*u + 12 for u. -3 Let o be (-10)/(-6) + 2/6. Suppose 3*i - 3 = 45. Suppose -n = -3*y + i + 21, -5*n = y - 7. Solve o*f + 2*f = -y for f. -3 Let m(o) = -o**2 - o + 44. Let s be m(6). Solve -4*t + s*t = -2 for t. 1 Suppose 9*p - 6*p = 2*a + 26, 4*a = p - 22. Suppose 0 = p*g + g - 28. Solve 4*l = -g - 12 for l. -4 Let i be 1*14 + (-5 + 2 - -1). Solve -i + 2 = -2*z for z. 5 Let g be 12 + 4*(-3)/(-6). Suppose 2*i = -4 - 2. Let a be 12/(-18) - g/i. Solve a*f = -0*f + 8 for f. 2 Suppose 2*s + 4*r - 86 = -s, s - 2*r = 32. Suppose 4*a = -18 + s. Solve a - 5 = -p for p. 2 Let n(o) be the first derivative of -o**3/3 + 13*o**2/2 - 9*o + 13. Suppose 3*k = 2*k + 12. Let w be n(k). Solve -w*h + 0*h + 3 = 0 for h. 1 Let o(c) = c**3 + 42*c**2 + 80*c + 4. Let y be o(-40). Solve -y = -s - 6 for s. -2 Suppose -3*d = d. Suppose 17*b - 15*b = d. Solve 0 = 4*j - b*j + 8 for j. -2 Let u(q) = -q**3 + 3*q**2 - 3*q + 1. Suppose -9*x = -6*x - 3. Let b be u(x). Solve -3*w + w + 4 = b for w. 2 Suppose 0 = -0*y + 2*y - 16. Let s(d) = -d**3 + 7*d**2 + 11*d - 1. Let n be s(y). Let b = 26 - n. Solve b*l - 7*l = 12 for l. -3 Let s(b) = 4*b - 56. Let h be s(16). Let d be -4 + 0 - h/(-1). Solve 0*v = d*v - 8 for v. 2 Let r(k) = -5*k**2 - 10*k + 3. Let o be r(-2). Solve 47 = -o*p + 35 for p. -4 Suppose -7*a + 2*f - 122 = -11*a, -3*a = f - 94. Solve -29*g - 16 = -a*g for g. 4 Let r(c) = c - 8. Let j be r(13). Solve -10 = -j*b - 0*b for b. 2 Suppose -3*y = -2*y - 2. Suppose 0*t - 6*t = -4*t. Suppose -20*n + 22*n = t. Solve 0 = -n*h + y*h + 6 for h. -3 Let r be (18 - 21)*1/((-1)/(-5)). Let p be (-2)/r - (0 + (-815)/75). Solve 5 = 3*b + p for b. -2 Let t be (3/(36/88))/(28/42). Solve 0 = -t*i - 16 + 49 for i. 3 Suppose 0 = -d + 9*d - 16. Solve -j = d*j + 6 for j. -2 Let y = 20 + -13. Suppose 7 = i - y. Suppose -3*t + t = -i. Solve -2*v + 1 + t = 0 for v. 4 Let b(a) be the first derivative of 4*a**3/3 - a**2 + 2*a - 6. Let q be b(1). Solve q*p - 2 = 2 for p. 1 Let j be 66/(-462) + (-43)/(-7). Solve 0 = o - 5 + j for o. -1 Let m(d) = d**3 - 19*d**2 - 3. Let k be m(19). Let c = 14 + k. Solve c = 3*a - 4 for a. 5 Let y(s) = -s**2 + 20*s + 99. Let b be y(24). Solve -24 = b*q - 15 for q. -3 Suppose 0 = -y + 2*t - 74, y + t + 133 = -y. Let m be -2*y/(-8) + 3. Let j = 19 + m. Solve 0 = j*o - 7 - 13 for o. 4 Suppose -24*a = -22*a + 80. Let g be ((-4)/(-7))/(a/(-140)). Let r be 5/(5/3) + -2. Solve g*f + r = -3 for f. -2 Let i(m) = -4*m - 131. Let o be i(-28). Suppose 36 = -h - 3*h. Let f = h - o. Solve -n - n + f = 0 for n. 5 Let j(f) = 5*f + 100. Let w be j(-21). Suppose -9 = 4*c - 3*s, 3*c + 5 - 1 = 5*s. Let y = c - w. Solve -y*p - p = 3 for p. -1 Let q = -857 - -895. Solve 4*f - q = -22 for f. 4 Let r = -10 + 10. Suppose r = 5*m - 3*m - 4. Let v be m - 2/1 - -1. Solve 2*z + v = 7 for z. 3 Let y be -4 + 3 - (0/2 - 7). Suppose 0 = 33*m - 35*m + 6. Solve 0 = y*b - m*b for b. 0 Let b(y) = y**2 + 3*y + 4. Let h be b(0). Solve 4 = v + h for v. 0 Suppose 0 = 4*q - 13 - 47. Suppose 13*l + 32 = q*l. Let u be (-2)/8 - (-68)/l. Solve 0 = -u*x + 5*x - 2 for x. 2 Suppose -163*p = -167*p. Solve 2*z - 9 + 13 = p for z. -2 Suppose 2*j - 28 = -5*k, -4*k - 8 = -5*j + 29. Let n = 15 - j. Let f(g) = -g**3 - 5*g**2 + 5*g - 3. Let s be f(-6). Solve n = r - s*r for r. -3 Suppose 0*m + 96 = -3*l - 2*m, 3*l = m - 87. Let o = 47 + l. Solve -4*g = 1 - o for g. 4 Suppose -6 = 5*n - q - 20, 0 = -5*n + 2*q + 13. Let u = 111 - 106. Suppose 3*i + 14*f - 10*f - 2 = 0, -i + 26 = -u*f. Solve 5*v + i = n*v for v. -3 Let p(c) = 2*c + 10. Let l be p(-5). Suppose 0 = -3*i + 5*w + 6, 0*i - 5*i - 4*w + 10 = l. Solve i*a = 3*a + 3 for a. -3 Let r = 184 - 159. Solve 0 = -3*j + 8*j + r for j. -5 Let t = 159 - 156. Suppose -w + 3 = -2*c, t*w + 6*c - c = 9. Solve 2*n = -w*n for n. 0 Let a = 584 - 576. Solve a = -5*r - 12 for r. -4 Let v be (42 - 0)*14/(-105)*-5. Solve -10*h - v + 38 = 0 for h. 1 Let q = 1482 - 1478. Solve 21 = q*p + 29 for p. -2 Suppose 0 = -3*o + 84 + 36. Let r = o + -20. Let n(z) = 5*z. Let j be n(1). Solve w = j*w + r for w. -5 Let m = 103 - 87. Let f = 8 + -12. Let d(v) = -2*v - 5. Let k be d(f). Solve 4 = -k*o + m for o. 4 Let q(z) = z**2 - 16*z + 15. Suppose -5*n = 12 - 87. Let j be q(n). Suppose 1 = 2*y - c - 2, -5*c - 15 = j. Solve 0 = 2*u - y + 2 for u. -1 Let b be (-2 - -1)/((-61)/122). Solve 33 - 31 = b*j for j. 1 Suppose 675 = -100*l + 125*l. Solve 0 = 16*k - l*k - 44 for k. -4 Let h(r) = r**3 - 5*r**2 + 5. Let d(m) = 2*m - 7. Let c be d(6). Let n be h(c). Suppose i = 5*y + 8 - 21, n*i - 10 = 0. Solve s = -0*s + y for s. 3 Let v = -877 + 895. Solve v*t - 17*t = -1 for t. -1 Let b(r) = 11*r + 53. Let n(p) = 4*p + 18. Let x(s) = 6*b(s) - 17*n(s). Suppose o - w - 2*w = 20, -30 = -o + 5*w. Let q be x(o). Solve -q*l - 16 = -6 for l. -5 Let g be (10/(-3) + 1)*(-8 - 7). Let c be (-24)/(-14) - (-10)/g. Solve 0 = -c*b - 1 + 9 for b. 4 Suppose b - g = -1, 2*g + 3*g = 4*b + 3. Let l = -2 - b. Suppose 0 = 3*m - 695 + 659. Solve m = -l*z + 4*z for z. 3 Let g = 135 + -60. Suppose -l - g = -6*l. Solve -2*s = s + l for s. -5 Suppose 4*l - 3*j + 3 = 0, 0 = 2*l - 0*j + 3*j - 21. Let a(p) = 8*p**3 - 10*p**2 - 10 - 7*p**l + 10*p + 3. Let z be a(9). Solve 14 - 4 = -z*m for m. -5 Suppose -g + 4 = t, -t + g = -3*g + 16. Let i be 6*(t + (-3)/(-6)). Solve 1 = l + i for l. -2 Let p = 2542 + -2533. Solve -2*s - 15 = -p for s. -3 Let u(q) = -3*q - 8. Let s be (5/10)/(3/(-24)). Let d be u(s). Suppose 4*i + 12 = 4*l - 8, 0 = d*l - i - 17. Solve -p = l*p for p. 0 Suppose h - 5*i - 1 = 0, 0 = 5*h - 3*h + 3*i - 54. Solve h*j - 10 = 19*j for j. 5 Suppose 0 = 18*c - 16*c - 8. Let a be c/(-16) + 2/8. Solve a*x = -4*x - 20 for x. -5 Let b(v) = -2*v + 32. Let j be b(15). Suppose 0 = -2*d + 4*l - j*l + 40, l = -3*d + 40. Solve -6*k + d = -k for k. 3 Suppose 4*g - 23 = 5. Let v(h) = h - 5. Let d be v(g). Suppose 4 = a - d. Solve a = b + 2*b for b. 2 Let f(p) = -p**2 + 9*p + 2. Let j be f(9). Suppose j*a - 7 - 3 = 0. Suppose 0 = -0*h - a*h - n + 30, 5*n = 25. Solve 4 = 3*z - h for z. 3 Let h be 220/35 + 38/14 + -3. Solve 0*c + 3*c = -h for c. -2 Suppose 5*b + 1 - 16 = 0. Let r be 4/6 + (-56)/b. Let l = 21 + r. Solve -l*o + o = 0 for o. 0 Let o = -62 + 57. Let z be o - -1 - -4 - 0. Solve f + 2*f - 3 = z for f. 1 Let x be (-1 + -85)*-1 - 1. Suppose 0 = -l - 1, 5*y + 7*l - 2*l - x = 0. Let d be ((-8)/12)/((-4)/y). Solve -i + d = -2*i for i. -3 Suppose -128 = -23*q + 27*q. Let b = q - -35. Solve b*g + 2*g = -10 for g. -2 Suppose 16 = -2*u - 4*n, 4 - 15 = 2*u + 3*n. Let t be (6/(-3))/(2/(-10)). Suppose 3*j - t = -u*j. Solve -1 - 3 = -j*l for l. 2 Let z be (-9)/21 - (-6 + (-155)/35). Solve -15*n - 15 = -z*n for n. -3 Suppose 2*y + 0*y - 34 = 0. Let h be 2 - -1*(4 - 3). Suppose -s = -3*s - 2*g + 18, -s + h*g = 7. Solve s - y = -4*l for l. 3 Suppose -5 = q - 3*y, 0 = 3*q - 2*y + 3 - 2. Solve q = 4*b - 7 for b. 2 Let l be (4/6)/(-3*(-4)/(-72)). Let z(x) = -x**3 - 5*x**2 - 6*x - 6. Let b be z(l). Solve -w + 7 = b for w. 5 Suppose 2*i - 14 = -0*i. Suppose -4*f = 2*r - 2*f - 18, -5*r - f + 49 = 0. Let v = r + -8. Solve -i*n + 25 = -v*n for n. 5 Let f = 144 - 139. Suppose -4*h = -8 - 4. Solve -f*n = -28 + h for n. 5 Let s be (6 - 2 - 42)/2. Let z = s + 24. Solve -5*d - z = 5 for d. -2 Suppose -4*l - o + 3 = -24, 2*l - 2*o - 26 = 0. Solve -l*t - 20 = -4*t for t. -5 Suppose 0 = 4*j, 0 = -3*u - 5*j + 3*j + 6. Suppose 4*l + 20 = 0, 0 = 2*k + 5*l - 0*l + 17. Solve 0 = u*d - k + 8 for d. -2 Let g be (-1)/4 - 2/(-8). Let v be 2/(-4)*g*(-9)/(-9). Solve -z - 7 + 4 = v for z. -3 Suppose 3*l = 3*a - 0*a + 9, -3*a - l = -11. Let u be (2 - (-3 + 1))/a. Suppose 0 = u*b - 6 - 0. Solve -b - 1 = -2*z for z. 2 Let k be -4 + 0 + -22 + 2. Let n = 36 + k. Solve -n = 5*i - i for i. -3 Suppose 0*m - 2 = -2*w - m, 0 = -w + 3*m - 6. Solve w = -23*q + 8*q - 60 for q. -4 Suppose -104*x + 320 - 112
{ "pile_set_name": "DM Mathematics" }
418 wrt q. -3767 Find the third derivative of -346*o**4 - 433*o**2 wrt o. -8304*o Find the second derivative of -1829*x**2 + 250*x - 14. -3658 What is the second derivative of -7491*i**3 + 72*i - 4 wrt i? -44946*i Find the third derivative of 1544*d**3*p*r**3 + 8*d**3*p*r - 2*d**3 + d**2*p*r**3 + d**2*p*r**2 - 3*p*r**2 + 4*r wrt r. 9264*d**3*p + 6*d**2*p Find the third derivative of -2*u**4 + 6102*u**3 + 3*u**2 + u + 504 wrt u. -48*u + 36612 What is the second derivative of 44*u**5 + 3*u**2 + 37*u - 3 wrt u? 880*u**3 + 6 What is the third derivative of -7*q**4 + 35*q**3 - q**2 - 3? -168*q + 210 What is the first derivative of 9593*a*i - 57*a - 31 wrt i? 9593*a What is the first derivative of -150*n*t + 2*t - 111 wrt n? -150*t Find the first derivative of 2*i**2*t*y**2 + 135*i**2*t + 5*i**2*y**2 - 5*i*t*y wrt y. 4*i**2*t*y + 10*i**2*y - 5*i*t Find the third derivative of -11*b**5*f**3 + 14*b**4*f**3 + 1437*b**2*f**3 + f**3 wrt b. -660*b**2*f**3 + 336*b*f**3 What is the second derivative of 3*j**3*w + 1436*j**2 + 16*j*w + 5*j - 2*w - 1 wrt j? 18*j*w + 2872 What is the second derivative of 44*c*r**2*y + 2*c*r + 12*c + r*y wrt r? 88*c*y Find the third derivative of -2702*b**3 + 772*b**2 wrt b. -16212 Find the third derivative of -a**4*s**3 - 270*a**4*s - a**3 - 3*a**2*s**2 + 49*a*s**3 wrt a. -24*a*s**3 - 6480*a*s - 6 What is the first derivative of -1183*k + 8271 wrt k? -1183 What is the third derivative of 886*s**3*v**2 - 2*s**3*v - s**3 - 55*s**2*v**2 - 19*s**2*v - 2*s*v**2 wrt s? 5316*v**2 - 12*v - 6 What is the second derivative of 2*i*k**2 + 11*i - 102*k**3 - 2*k + 2 wrt k? 4*i - 612*k Differentiate 2*j*w**3 + 82*j*w + 28*j - 2*w**2 + 18 wrt w. 6*j*w**2 + 82*j - 4*w Find the third derivative of -3432*x**4 + 122*x**2 + 9. -82368*x Find the third derivative of -12700*g**5 - 3746*g**2 wrt g. -762000*g**2 Find the first derivative of -46*n**3 - n**2*v**2 - 258*v**2 wrt n. -138*n**2 - 2*n*v**2 What is the derivative of -p**4*z**3 + 575*p**3*z**3 - 7223*z**3 wrt p? -4*p**3*z**3 + 1725*p**2*z**3 Differentiate 15*j**2*s + 2*j**2 + 10*j*s + 7*j - 2*s + 781 with respect to j. 30*j*s + 4*j + 10*s + 7 Find the second derivative of 8*h**2*k*v**2 - 7*h**2*k*v + 7*h**2*u**3*v + 18*h**2*v**2 - h*k*u**3*v - 4*h*k*u**3 + 2*k*u**2*v - 7*u**3*v**2 wrt v. 16*h**2*k + 36*h**2 - 14*u**3 What is the first derivative of -57*f**2 + f + 342? -114*f + 1 Find the third derivative of 214*a**4 + 515*a**2. 5136*a What is the second derivative of 4*p**3 + 128*p**2 - 2435*p + 3? 24*p + 256 What is the third derivative of 4240*m**6 + 9*m**2 + 20*m + 2 wrt m? 508800*m**3 What is the third derivative of -46*o**3*v**3 + 3*o**3 - 2*o**2 + 107*v**3 wrt o? -276*v**3 + 18 What is the third derivative of -2625*f**2*h**3 - f**2*h**2 - 69*f*h**2 - 7*f*h wrt h? -15750*f**2 Differentiate j*n**3*u + 74*j*n*u + 332*j*u + n**2*u with respect to n. 3*j*n**2*u + 74*j*u + 2*n*u What is the third derivative of -61*f**5 - f**4 - 376*f**2? -3660*f**2 - 24*f Differentiate -6*k*t**3*z + k*t**2*z**2 - 10*t**3*z - t*z**2 - z wrt k. -6*t**3*z + t**2*z**2 Find the second derivative of 2547*p**5*w**2 + 7*p*w**2 - 2*p*w + w**2 wrt p. 50940*p**3*w**2 What is the third derivative of 2*q**2*x**3 - q**2*x**2 - 15*q**2 + 2*q*x**3 + q*x + 3538*x**3 + 24*x**2 wrt x? 12*q**2 + 12*q + 21228 Find the third derivative of m*y**4 - 2*m*y**2 - 3364*m*y - 5295*y**4 wrt y. 24*m*y - 127080*y Find the second derivative of -2*n**2*v**3 + 95*n**2*v + n*v**3 - 3*v**2 + 2*v wrt v. -12*n**2*v + 6*n*v - 6 What is the third derivative of -2*i**4*q + 4803*i**3*q**3 - 6*i**2*q**3 - i**2*q**2 - 4*i*q**3 + 6*i*q wrt i? -48*i*q + 28818*q**3 What is the derivative of z**2 - 18*z - 8226? 2*z - 18 Find the second derivative of 2*b**2*f*r - 130*b**2*f*y + b**2*y**3 + 2*b**2 + 3*b*f*y**3 + 2*b*r + 2*f*r - 2*f*y - r*y**3 wrt b. 4*f*r - 260*f*y + 2*y**3 + 4 What is the first derivative of 2*c**2 - 13*c + 23? 4*c - 13 Find the third derivative of -h**4*l**2 + 17*h**4*y - 2*h**4 + 3*h**2*l**2*y + 2*h*l*y - 7*h*y - 4*l**2 wrt h. -24*h*l**2 + 408*h*y - 48*h What is the second derivative of 2*f*g**5 + 95*f*g - 2*f - 4*g**5 wrt g? 40*f*g**3 - 80*g**3 Find the second derivative of -3191*m*n**2 - m + 11*n + 95 wrt n. -6382*m What is the second derivative of -335*b*k**2*r - 7*b*k*p*r - 46*b*p - k**2*p*r - k**2*p - k*p*r - k wrt k? -670*b*r - 2*p*r - 2*p What is the second derivative of -2*i**5 + 659*i**2 - 1531*i wrt i? -40*i**3 + 1318 What is the derivative of -2*j**3*s*y - 12*j**3*y - 18*j**2*s*y - 21*j**2*y wrt s? -2*j**3*y - 18*j**2*y Find the second derivative of 9*c*d**2*r*z + 3*c*d*r**2 + c*d + c*r*z + 5*c*z + 2*d**2*r**2 + 4*d**2*r*z - 3*d*z wrt d. 18*c*r*z + 4*r**2 + 8*r*z Find the third derivative of x**5 + 77*x**3 - 218*x**2. 60*x**2 + 462 Find the third derivative of 1630*j**6*w - 485*j**2*w - 4*j**2 wrt j. 195600*j**3*w Find the first derivative of -81*a*h**3*n**2 + 5*a*h**3*n + 31*a*n**2*y - 3*a*y - 2*h**3*n*y wrt y. 31*a*n**2 - 3*a - 2*h**3*n Find the first derivative of w**2 - 107*w - 492. 2*w - 107 What is the second derivative of -11*n*s*x**2 + 45*n*x - 8*s*x**2 - s*x - s wrt x? -22*n*s - 16*s What is the second derivative of 1071*m**2 + 1370*m wrt m? 2142 Differentiate 37*k**4*x*y - k**3*x + 10*k*y + 143*x*y - y with respect to k. 148*k**3*x*y - 3*k**2*x + 10*y What is the second derivative of 4*h**4*o - 171*h**3*j*o**2 + 267*h*j - h*o**2 wrt h? 48*h**2*o - 1026*h*j*o**2 Differentiate -120*g**2 + 99. -240*g Find the second derivative of -11*a**2*q**2*u + 2*a**2*q - 5*a*q*u**2 - q**2*u**2 - q**2*u + 39*q*u**2 wrt q. -22*a**2*u - 2*u**2 - 2*u What is the third derivative of 22*j**4 - 3*j**3 - 119*j**2? 528*j - 18 Find the third derivative of 14045*y**3 + 20*y**2 + 77*y. 84270 Find the second derivative of -3*b**2*g**3 + 30*b**2*g + 7*b**2 + 2*g**4 + 75*g**2 wrt g. -18*b**2*g + 24*g**2 + 150 Find the second derivative of y**5 + 146*y**2 - 187*y. 20*y**3 + 292 Find the third derivative of 2*j**3 + 539*j**2 wrt j. 12 Find the third derivative of 83*h**6*t**3 - h**4*t - 56*h**2*t + t**3 wrt h. 9960*h**3*t**3 - 24*h*t Find the third derivative of 17664*g**3 + 2309*g**2 - g. 105984 What is the third derivative of 154*h**4 + h**3 + h**2 + 26*h wrt h? 3696*h + 6 Find the second derivative of -2*p**3*z**2 - p**3*z + 123*p**2 - 1264*p*z**2 + p*z - p + 2*z**2 wrt p. -12*p*z**2 - 6*p*z + 246 What is the second derivative of -44*p**3*z**2 - 54*p**3*z + 3*p - z wrt z? -88*p**3 What is the first derivative of -h**2 - 25*h - 156? -2*h - 25 Find the first derivative of 10*z**4 - 3*z**3 + 826. 40*z**3 - 9*z**2 Find the second derivative of 2*a*q**5 - 2*a - 669*q**2 - 2*q + 95 wrt q. 40*a*q**3 - 1338 What is the first derivative of 2*r**2 + 314*r + 8818? 4*r + 314 Differentiate -2321*n**2 + 2281 with respect to n. -4642*n What is the second derivative of -7*k**4 - 28*k**2 - 82*k - 2? -84*k**2 - 56 Find the second derivative of -2*c**2*h**3*j + 18*c**2*h**3 - 3*c**2*j + 10*c*h**3*j - 5*c*h**3 + 3*c*j wrt c. -4*h**3*j + 36*h**3 - 6*j Find the third derivative of -9*j**6*q*r - 15*j**6*r - 6*j**2*q*r + q - 2*r wrt j. -1080*j**3*q*r - 1800*j**3*r What is the third derivative of -295*z**3 - 247*z**2 wrt z? -1770 Differentiate 3*r**2*w**2 + 12*r*w**3 + 390*w**3 with respect to r. 6*r*w**2 + 12*w**3 Find the first derivative of 5*c*i**2*y**2 - c*m*y + i**2*y**2 - i*m*y - 355*m*y**2 wrt i. 10*c*i*y**2 + 2*i*y**2 - m*y Differentiate -8*c**2 + 22*c + 3400 wrt c. -16*c + 22 Find the second derivative of -12*c**2*u - 4*c**2*w**2 + 3*c*u - u*w**2 - 20*w**2 wrt c. -24*u - 8*w**2 Differentiate 135*c**4 + 4*c**3 - 2537 wrt c. 540*c**3 + 12*c**2 Differentiate -2*y**2 + 158*y + 69 wrt y. -4*y + 158 Differentiate -3*m*v**3*z**3 + 4*m*v**2 - m*v*z**3 - 2*v**3*z**2 + 45*v**2*z**3 wrt m. -3*v**3*z**3 + 4*v**2 - v*z**3 Differentiate 641*b**3*l**2 + 639*l**2 with respect to b. 1923*b**2*l**2 Find the second derivative of -l**3*t**3 - 2*l**3 + 89*l**2*t**2 - l*t**3 - 9*t**3 - 10*t**2 wrt l. -6*l*t**3 - 12*l + 178*t**2 Find the second derivative of -347*h**2*j**4 + 9*h**2*j - h**2 - 2*h*j**5 - 2*h*j + 2*j wrt j. -4164*h**2*j**2 - 40*h*j**3 What is the first derivative of 58*l**3*q + 44*l**3*v - 4*l*q**2 + 26*q**2*v wrt v? 44*l**3 + 26*q**2 What is the first derivative of g*
{ "pile_set_name": "DM Mathematics" }
-1, 4, 1 in decreasing order. 4, 1, -1, -6, -65, -1227 Put -0.4, -5, -3, 67, 31 in ascending order. -5, -3, -0.4, 31, 67 Sort 4, 61, 5, -4, 3, -8773 in increasing order. -8773, -4, 3, 4, 5, 61 Sort -6, -33, 2, -4, -1892 in increasing order. -1892, -33, -6, -4, 2 Put 2/807, 0.055, -21 in descending order. 0.055, 2/807, -21 Sort 4, 2, -4, 9, 3, 8167, -5. -5, -4, 2, 3, 4, 9, 8167 Sort -0.4, -22, -35, 3, 2, -1/3 in descending order. 3, 2, -1/3, -0.4, -22, -35 Put 52, -5, -193, 65 in ascending order. -193, -5, 52, 65 Put 254/9, 2/23, 12, 1.01, 8 in ascending order. 2/23, 1.01, 8, 12, 254/9 Sort 1, -43, -4, -1428, 46 in descending order. 46, 1, -4, -43, -1428 Put 75, 0, 4, -2, -1532, 106 in increasing order. -1532, -2, 0, 4, 75, 106 Sort 29, 541, 43, -1 in ascending order. -1, 29, 43, 541 Put 2078, 1, 14, 374, -5, -1 in ascending order. -5, -1, 1, 14, 374, 2078 Sort -8, -75, 2431 in decreasing order. 2431, -8, -75 Sort -2, 9/5, -180, -3, -6.5 in increasing order. -180, -6.5, -3, -2, 9/5 Put 133.1, -186, 1/6, -4, -2 in ascending order. -186, -4, -2, 1/6, 133.1 Sort 134, 5, -8, -1, 0, 143, 4. -8, -1, 0, 4, 5, 134, 143 Sort 3, 23, 1979, -22, -4, -2 in ascending order. -22, -4, -2, 3, 23, 1979 Sort -79804, -342, -1, 4. -79804, -342, -1, 4 Sort 5704, 8, 58, -22 in decreasing order. 5704, 58, 8, -22 Sort -4, -6, -2, 14, 6, 310 in ascending order. -6, -4, -2, 6, 14, 310 Sort 8, 2, 4, 5, -193, 0, -1 in ascending order. -193, -1, 0, 2, 4, 5, 8 Put -14, 4, -585, 11 in descending order. 11, 4, -14, -585 Sort -5, -0.5, 41, 17377 in decreasing order. 17377, 41, -0.5, -5 Put -5, 3, -81, 0, -441, -28 in descending order. 3, 0, -5, -28, -81, -441 Sort -7, -3, 1886683. -7, -3, 1886683 Sort 14, 60, 0.9, -7, 2. -7, 0.9, 2, 14, 60 Put -32, -88, 96, 5 in decreasing order. 96, 5, -32, -88 Put 2.2, -2/11, 1, 6759 in ascending order. -2/11, 1, 2.2, 6759 Sort 35, -803, 66/13. -803, 66/13, 35 Sort 0.05758, -2, -0.0034 in decreasing order. 0.05758, -0.0034, -2 Sort 2, 0.4, 0, 6, -3/7, 0.2, 5/7 in ascending order. -3/7, 0, 0.2, 0.4, 5/7, 2, 6 Sort 42, 4, 37, 309, 7. 4, 7, 37, 42, 309 Sort 9, -55, 10, 5, 182 in descending order. 182, 10, 9, 5, -55 Sort -4, -1/38, 0.5, 2363/7, 0.07 in decreasing order. 2363/7, 0.5, 0.07, -1/38, -4 Put -8, 12, 2/3, -7.5, -1.4 in ascending order. -8, -7.5, -1.4, 2/3, 12 Put -10530, -15, -2, 6, -17, -4 in ascending order. -10530, -17, -15, -4, -2, 6 Put -1258, 1/2, 2/407 in decreasing order. 1/2, 2/407, -1258 Sort -2/1245, -5/13157, -1 in decreasing order. -5/13157, -2/1245, -1 Sort 0.09, 0.2, 0, 2467, 6, 2/13 in decreasing order. 2467, 6, 0.2, 2/13, 0.09, 0 Sort -42, 27, -3/7, -6/2303 in ascending order. -42, -3/7, -6/2303, 27 Put -27007, -318, 4 in increasing order. -27007, -318, 4 Sort -121, -925, -2, -1 in decreasing order. -1, -2, -121, -925 Sort 0.64, -0.24, 0.0015 in increasing order. -0.24, 0.0015, 0.64 Sort -5, 2, -1, 469, 1 in descending order. 469, 2, 1, -1, -5 Sort 110/13, 3/4, -2, -2/9, 1, -0.9 in increasing order. -2, -0.9, -2/9, 3/4, 1, 110/13 Put -22874, -23, -11 in descending order. -11, -23, -22874 Sort 37, 1815, -5, -97 in decreasing order. 1815, 37, -5, -97 Sort 0, 3, 14, 6, -92, -239 in ascending order. -239, -92, 0, 3, 6, 14 Put 52, 143, -133 in descending order. 143, 52, -133 Put -3921, -10, 3, 8, -3, -1 in decreasing order. 8, 3, -1, -3, -10, -3921 Put 10, 611, -11, 0, -4, -6, 1 in ascending order. -11, -6, -4, 0, 1, 10, 611 Sort -10, 26, 10, -6, 0, 2 in descending order. 26, 10, 2, 0, -6, -10 Put -4, -5, 0, 17, 49, -286, 5 in decreasing order. 49, 17, 5, 0, -4, -5, -286 Put 1, 0.02, 57, -143, 3/4 in increasing order. -143, 0.02, 3/4, 1, 57 Put -168, -3, 2, -55, -5, 5, -2 in descending order. 5, 2, -2, -3, -5, -55, -168 Put 0.2, 1020, 0.14, -41/2 in descending order. 1020, 0.2, 0.14, -41/2 Sort 0.4, 74599986, 3. 0.4, 3, 74599986 Put -2, -94, 2/19, 6/7, -17 in increasing order. -94, -17, -2, 2/19, 6/7 Sort 3, -44, -15, 124, 1, 2. -44, -15, 1, 2, 3, 124 Put -2, 103, 196, -3 in descending order. 196, 103, -2, -3 Put -5.48, -0.1, -76.7 in decreasing order. -0.1, -5.48, -76.7 Sort 0, 1, -2, 10298278 in descending order. 10298278, 1, 0, -2 Put -0.08, 1/46, 54.26 in descending order. 54.26, 1/46, -0.08 Put -3, 1, 0, 3, -545, -16 in ascending order. -545, -16, -3, 0, 1, 3 Sort 1, -3113, -0.1, 0.06, -20 in increasing order. -3113, -20, -0.1, 0.06, 1 Sort -4, 0, 43, -65, -5. -65, -5, -4, 0, 43 Put -3, -1/2, -7, -0.586 in descending order. -1/2, -0.586, -3, -7 Sort 5, -95843, -3084. -95843, -3084, 5 Sort -0.08, 6/5, -2/7, 8, -21, -136 in ascending order. -136, -21, -2/7, -0.08, 6/5, 8 Sort 2, 8, -1/5, -1.5, -73 in increasing order. -73, -1.5, -1/5, 2, 8 Sort 16, 4, 1, 712 in descending order. 712, 16, 4, 1 Sort -1/87, -9/11, 10, -2, 3/7, 2 in decreasing order. 10, 2, 3/7, -1/87, -9/11, -2 Put -1830, 246783, 4 in decreasing order. 246783, 4, -1830 Put -100, 3, -73, 121 in descending order. 121, 3, -73, -100 Sort 16, -2.525753, -2/15 in ascending order. -2.525753, -2/15, 16 Sort 2, 588, 11, -207. -207, 2, 11, 588 Sort 2875, -1, 4926 in descending order. 4926, 2875, -1 Sort 0.2, -265/324, -1, 3 in descending order. 3, 0.2, -265/324, -1 Sort -4, -16870, 90, -6 in ascending order. -16870, -6, -4, 90 Sort -2/9, 14.4, 2, -0.3, 0.3, -2 in descending order. 14.4, 2, 0.3, -2/9, -0.3, -2 Sort 1/16, 4, 0.1, 29/25, -2/5 in decreasing order. 4, 29/25, 0.1, 1/16, -2/5 Sort -22937060, -0.2, 3 in increasing order. -22937060, -0.2, 3 Sort 5, 3570, -3, 375. -3, 5, 375, 3570 Sort -102, -855, -5, 15, -2. -855, -102, -5, -2, 15 Sort -1310, -6, -27 in descending order. -6, -27, -1310 Put -9, 1, 350, -1, -4, -44 in decreasing order. 350, 1, -1, -4, -9, -44 Sort -166629, -3, -231. -166629, -231, -3 Put 0.5, -0.7, 153/13118 in ascending order. -0.7, 153/13118, 0.5 Put 23, -32683, -2 in increasing order. -32683, -2, 23 Sort -402, -136, 2, 0, 257 in decreasing order. 257, 2, 0, -136, -402 Sort 9.6, -14.7, -10, 2, -4, 1/4. -14.7, -10, -4, 1/4, 2, 9.6 Sort 4, -3885, 2, -3, -9, -1, -6 in increasing order. -3885, -9, -6, -3, -1, 2, 4 Put 4, 109104, 13, -1 in decreasing order. 109104, 13, 4, -1 Sort 2/271, 43/178, 0.03. 2/271, 0.03, 43/178 Sort 61, 26, -0.07, -5, -169 in increasing order. -169, -5, -0.07, 26, 61 Sort 5, -5, 5046718. -5, 5, 5046718 Put -8884, 39, -1, 7 in increasing order. -8884, -1, 7, 39 Sort 30, 477, -2, -5, 2, -1. -5, -2, -1, 2, 30, 477 Put 0.4, 10, 137, 80279 in decreasing order. 80279, 137, 10, 0.4 Sort 5, -5, 4/595, -281/2, -5/3 in decreasing order. 5, 4/595, -5/3, -5, -281/2 Sort -3, -82708, -725. -82708, -725, -3 Put 4310, -3/29, -9 in ascending order. -9, -3/29, 4310 Put -4, -0.2, 4/13, 38, 17886 in decreasing order. 17886, 38, 4/13, -0.2, -4 Sort -3, -777/157, 97 in descending order. 97, -3, -777/157 Sort 5, -3, 3, 2, -812 in descending order. 5, 3, 2, -3, -812 Put 3, -755, -1, -3343, 0, 5 in decreasing order. 5, 3, 0, -1, -755, -3343 Put -1, -0.01, -0.075507 in ascending order. -1, -0.075507, -0.01 Sort 0.5, -1, -0.411, 434, -3/2 in descending order. 434, 0.5, -0.411, -1, -3/2 Sort -1, -5, -18, -9, -19, -2 in increasing order. -19, -18, -9, -5, -2, -1 Put 8, -5, -0.3, 38, -0.1, -4 in ascending order. -5, -4, -0.3, -0.1, 8, 38 Put 7, 1, -2/3, -5/3, 2, -0.02953 in ascending order. -5/3, -2/3, -0.02953, 1, 2, 7 Put 1/10, 29, -1.2, -0.049, 0.2 in decreasing order. 29, 0.2, 1/10, -0.049, -1.2 Sort 0.1, 4, 95/454, -116 in decreasing order. 4, 95/454, 0.1, -116 Sort 68, 2, 7, 1, 4, 0 in increasing order. 0, 1, 2, 4, 7, 68 Put 0, -4, 19, -1, -3, 404, -5 in decreasing order. 404, 19, 0, -1, -3, -4, -5 Sort 40, -18, -13, -11, -1. -18, -13, -11, -1, 40 Sort -30/7, 13620, 0.1, -1/24. -30/7, -1/24, 0.1, 13620 Sort -27, 698, 228 in increasing order. -27, 228, 698 Put -3/4, -0.3862, -1, -0.1, 95 in descending order. 95, -0.1, -0.3862, -3/4, -1 Put -5, 12218, -385 in increasing order. -385, -5, 12218 Sort -1, 7, -7, 21202. -7, -1, 7, 21202 Put -2, -2068, -4, 25 in descending order. 25, -2, -4, -2068 Sort -4.001, -0.4, 4462 in decreasing order. 4462, -0.4, -4.001 Put 5, -4, 4.4, 57, -0.2, 0.5, -1 in descending order. 57, 5, 4.4, 0.5, -0.2, -1, -4 Sort -0.4, 18972, -0.2, -14, -4 in ascending order. -14, -4, -0.4, -0.2, 18972 Put 4, -5, -2, 27, 62, 51,
{ "pile_set_name": "DM Mathematics" }
: 2, l: 8, w: 1, g: 2}? 8/1365 Two letters picked without replacement from {w: 3, h: 2}. What is prob of sequence wh? 3/10 Two letters picked without replacement from iiavaiiviaaiaiaiav. What is prob of sequence vi? 4/51 Three letters picked without replacement from {y: 1, n: 1, e: 1, j: 1, z: 1, u: 2}. What is prob of sequence jzy? 1/210 Calculate prob of sequence am when two letters picked without replacement from {r: 2, a: 2, q: 1, m: 1, g: 1}. 1/21 Three letters picked without replacement from mvvmlvgllvlg. What is prob of sequence gmv? 2/165 What is prob of sequence rvk when three letters picked without replacement from mvmtttvkrkttkt? 1/364 Calculate prob of sequence ooj when three letters picked without replacement from {s: 3, o: 8, c: 6, j: 2}. 56/2907 Two letters picked without replacement from llllliiilliill. Give prob of sequence li. 45/182 What is prob of sequence nn when two letters picked without replacement from {s: 2, n: 2}? 1/6 Two letters picked without replacement from dzdvdmdmdbddm. Give prob of sequence mb. 1/52 Calculate prob of sequence jk when two letters picked without replacement from jjkjjkjkkkjjk. 7/26 Calculate prob of sequence yw when two letters picked without replacement from yshwo. 1/20 What is prob of sequence hwub when four letters picked without replacement from wbhuw? 1/60 Two letters picked without replacement from {r: 7, b: 4, u: 2}. What is prob of sequence ru? 7/78 Three letters picked without replacement from {o: 3, d: 5, i: 2}. What is prob of sequence ido? 1/24 Four letters picked without replacement from mbmomobmbmmmo. Give prob of sequence bmoo. 21/2860 Three letters picked without replacement from czzczz. What is prob of sequence zcc? 1/15 Three letters picked without replacement from {u: 6, y: 1, q: 8}. Give prob of sequence qqq. 8/65 Three letters picked without replacement from {m: 4, b: 1, j: 3}. Give prob of sequence bmj. 1/28 Calculate prob of sequence wvw when three letters picked without replacement from {w: 2, v: 3}. 1/10 Calculate prob of sequence ju when two letters picked without replacement from ojucjjwccjjcooojoo. 1/51 Four letters picked without replacement from {n: 1, e: 1, y: 1, q: 1, l: 1, h: 2}. Give prob of sequence lnhy. 1/420 Calculate prob of sequence wcc when three letters picked without replacement from gcawwlwlvllacw. 1/273 Three letters picked without replacement from {s: 1, u: 3, w: 3, f: 5, o: 1}. What is prob of sequence suo? 1/572 Four letters picked without replacement from {l: 1, c: 1, s: 1, z: 2}. What is prob of sequence czls? 1/60 Calculate prob of sequence rtr when three letters picked without replacement from ynnyyyyryrt. 1/495 What is prob of sequence tnvv when four letters picked without replacement from vntvvvzgzn? 1/210 Calculate prob of sequence uow when three letters picked without replacement from {w: 1, u: 3, b: 2, t: 1, o: 5}. 1/88 What is prob of sequence xwv when three letters picked without replacement from ixggivwiwwiwvgiwi? 1/408 Four letters picked without replacement from yyyboooo. What is prob of sequence ybby? 0 Two letters picked without replacement from {x: 1, d: 1, a: 1, b: 5, s: 3, v: 3}. Give prob of sequence sv. 9/182 What is prob of sequence ki when two letters picked without replacement from {i: 5, k: 1, w: 6, x: 1, g: 1}? 5/182 Two letters picked without replacement from {x: 7, e: 7}. Give prob of sequence xe. 7/26 What is prob of sequence sl when two letters picked without replacement from {d: 2, s: 1, l: 1}? 1/12 What is prob of sequence ar when two letters picked without replacement from {q: 2, r: 2, h: 2, u: 1, a: 1}? 1/28 Two letters picked without replacement from ddddddvyvddvdvdvdddd. Give prob of sequence dd. 91/190 Four letters picked without replacement from jjjjjjjjj. What is prob of sequence jjjj? 1 Calculate prob of sequence os when two letters picked without replacement from sqsqososooosss. 5/26 What is prob of sequence ttpt when four letters picked without replacement from tttp? 1/4 Two letters picked without replacement from hxhlxhexxhxgge. Give prob of sequence le. 1/91 What is prob of sequence klf when three letters picked without replacement from {x: 1, f: 5, k: 6, l: 4}? 1/28 Calculate prob of sequence voo when three letters picked without replacement from {o: 3, v: 1, s: 3, j: 10, c: 3}. 1/1140 Three letters picked without replacement from kklllkjlnpkk. Give prob of sequence jpn. 1/1320 Two letters picked without replacement from {q: 1, h: 3, d: 3, n: 2, m: 1}. Give prob of sequence hd. 1/10 Two letters picked without replacement from {d: 4, q: 1, i: 5, j: 1}. What is prob of sequence ii? 2/11 Calculate prob of sequence wbw when three letters picked without replacement from {q: 1, w: 4, r: 6, h: 2, k: 1, b: 1}. 2/455 Two letters picked without replacement from wwwqwwuwclwwwwwwuwuw. What is prob of sequence ul? 3/380 Four letters picked without replacement from kkokkkkkkkkkkkk. Give prob of sequence okkk. 1/15 Calculate prob of sequence svbg when four letters picked without replacement from {j: 1, p: 2, g: 2, s: 4, b: 4, v: 2}. 8/4095 Three letters picked without replacement from gsssgggg. Give prob of sequence ggg. 5/28 Calculate prob of sequence paq when three letters picked without replacement from {g: 1, e: 1, q: 1, a: 1, p: 1}. 1/60 What is prob of sequence dkkq when four letters picked without replacement from dkkqqkdddqkd? 1/66 Two letters picked without replacement from qrrarbxxnrnxaab. What is prob of sequence nr? 4/105 Three letters picked without replacement from ululull. What is prob of sequence uul? 4/35 Calculate prob of sequence oob when three letters picked without replacement from {o: 4, s: 3, b: 11}. 11/408 Two letters picked without replacement from eeaaeaeegdedeaj. Give prob of sequence eg. 1/30 What is prob of sequence ddmd when four letters picked without replacement from ddmddddmddmmm? 14/143 Four letters picked without replacement from gerebrqgrlrqeb. Give prob of sequence ergg. 1/1001 What is prob of sequence lllo when four letters picked without replacement from {b: 4, o: 2, l: 8}? 4/143 Four letters picked without replacement from {j: 4, h: 15}. Give prob of sequence hjjj. 5/1292 Calculate prob of sequence yp when two letters picked without replacement from {y: 10, p: 9}. 5/19 Two letters picked without replacement from dmnmdmmwdmddwxmmmd. What is prob of sequence xd? 1/51 What is prob of sequence fnn when three letters picked without replacement from fnnlfflfnfnf? 3/55 Calculate prob of sequence nuun when four letters picked without replacement from {n: 4, t: 4, u: 4, x: 3}. 2/455 Calculate prob of sequence azaz when four letters picked without replacement from aazzzzzkzzaakzazkzak. 15/646 What is prob of sequence sf when two letters picked without replacement from {f: 9, s: 5}? 45/182 What is prob of sequence dd when two letters picked without replacement from {j: 2, r: 1, x: 3, b: 1, v: 1, d: 4}? 1/11 Four letters picked without replacement from {o: 1, z: 6, n: 4, f: 3, m: 2}. Give prob of sequence mmff. 1/3640 Three letters picked without replacement from {h: 1, d: 5, w: 1, j: 2, y: 2, z: 5}. Give prob of sequence zdj. 5/336 Calculate prob of sequence rrr when three letters picked without replacement from {r: 3, n: 12}. 1/455 Calculate prob of sequence fe when two letters picked without replacement from {i: 1, e: 2, x: 3, f: 1}. 1/21 Calculate prob of sequence jjj when three letters picked without replacement from {j: 5, f: 15}. 1/114 Calculate prob of sequence qzi when three letters picked without replacement from {p: 1, z: 2, q: 1, u: 2, i: 1, r: 2}. 1/252 Three letters picked without replacement from {y: 2, s: 6, o: 5}. Give prob of sequence yys. 1/143 What is prob of sequence kkg when three letters picked without replacement from {k: 3, g: 2}? 1/5 What is prob of sequence ezce when four letters picked without replacement from ezeeeceeez? 1/60 What is prob of sequence md when two letters picked without replacement from {x: 1, d: 6, m: 11}? 11/51 Calculate prob of sequence ffor when four letters picked without replacement from {r: 2, o: 7, f: 7}. 7/520 Calculate prob of sequence bddd when four letters picked without replacement from bbddddd. 1/7 Four letters picked without rep
{ "pile_set_name": "DM Mathematics" }
3 + 155*h/6. 5*h*(h + 1)*(h + 31)/6 Factor -3*o**2 + 249*o + 252. -3*(o - 84)*(o + 1) Factor k**4/6 - 7*k**3/6 + 5*k**2/6 + 7*k/6 - 1. (k - 6)*(k - 1)**2*(k + 1)/6 Let 2*q**3/11 - 12*q**2/11 + 18*q/11 - 8/11 = 0. What is q? 1, 4 Factor -4*v**2/5 + 36*v/5 + 8. -4*(v - 10)*(v + 1)/5 Factor 2162*o**2 - 50*o - 12. 2*(23*o - 2)*(47*o + 3) Let -3*y**3 + 21*y**2 + 84*y + 60 = 0. Calculate y. -2, -1, 10 Factor y**4 + 1245*y**3 + 3729*y**2 + 3727*y + 1242. (y + 1)**3*(y + 1242) Suppose -m**4/2 + 3*m**2 + 4*m + 3/2 = 0. Calculate m. -1, 3 Factor 24*i**4 - 4*i**3 - 52*i**2 + 4*i + 28. 4*(i - 1)*(i + 1)**2*(6*i - 7) Let b**5/4 - b**4/4 - 2*b**3 + 2*b**2 + 4*b - 4 = 0. What is b? -2, 1, 2 Factor -o**4/3 + 26*o**3/3 - 35*o**2 - 300*o. -o*(o - 15)**2*(o + 4)/3 Let 4*x**5 - 52*x**4 + 100*x**3 + 372*x**2 + 216*x = 0. Calculate x. -1, 0, 6, 9 Let 2*x**2/11 + 1080*x/11 + 145800/11 = 0. What is x? -270 Determine c so that 4*c**3/3 - 8*c**2 - 28*c/3 + 80 = 0. -3, 4, 5 Solve 20*r**5/13 + 166*r**4/13 + 348*r**3/13 - 70*r**2/13 - 368*r/13 - 96/13 = 0 for r. -4, -1, -3/10, 1 Factor 2*j**2/3 + 8048*j/3 + 8096288/3. 2*(j + 2012)**2/3 Factor 2*r**4/3 - 2*r**3/3 - 4*r**2/3. 2*r**2*(r - 2)*(r + 1)/3 Factor 2*s**5/15 - 4*s**4/15 - 2*s**3/5 + 8*s**2/15 + 8*s/15. 2*s*(s - 2)**2*(s + 1)**2/15 Factor h**3 - 23*h**2 - h + 23. (h - 23)*(h - 1)*(h + 1) Factor -o**3 - 155*o**2 - 3827*o + 182183. -(o - 23)*(o + 89)**2 Suppose -g**5/2 - 15*g**4/2 - 31*g**3 - 17*g**2 + 63*g/2 + 49/2 = 0. Calculate g. -7, -1, 1 Factor 3*j**4/2 - 285*j**3/2. 3*j**3*(j - 95)/2 Factor -l**5 + 13*l**3 + 12*l**2. -l**2*(l - 4)*(l + 1)*(l + 3) Find o, given that 6*o**4 - 65*o**3 + 17*o**2 + 42*o = 0. -2/3, 0, 1, 21/2 Factor r**2/4 + 307*r/4 + 153/2. (r + 1)*(r + 306)/4 Suppose 2*h**4 + 30*h**3 + 26*h**2 - 30*h - 28 = 0. What is h? -14, -1, 1 Factor 2*d**4/7 + 54*d**3/7 - 2*d**2/7 - 54*d/7. 2*d*(d - 1)*(d + 1)*(d + 27)/7 Let -625*n**5 + 4500*n**4 + 15700*n**3 + 17190*n**2 + 7965*n + 1350 = 0. Calculate n. -1, -3/5, 10 Find j, given that j**2/2 - 311*j/4 - 39 = 0. -1/2, 156 Solve 4*d**4 - 7*d**3 - 2*d**2 = 0 for d. -1/4, 0, 2 Factor 2*i**2/3 + 4*i + 16/3. 2*(i + 2)*(i + 4)/3 Factor m**3/6 + 52*m**2/3 + 512*m + 3072. (m + 8)*(m + 48)**2/6 Factor 2*r**3/3 - 26*r**2 + 50*r - 74/3. 2*(r - 37)*(r - 1)**2/3 Factor 3*y**4 - 6*y**3 - 9*y**2. 3*y**2*(y - 3)*(y + 1) Let -2*m**5/7 + 20*m**4/7 - 50*m**3/7 = 0. Calculate m. 0, 5 Factor -2*w**2/23 - 354*w/23 - 352/23. -2*(w + 1)*(w + 176)/23 Let k**5/3 + 26*k**4/3 - 118*k**3/3 + 64*k**2/3 + 39*k - 30 = 0. What is k? -30, -1, 1, 3 Suppose -5*w**4 + 65*w**3 - 180*w**2 = 0. What is w? 0, 4, 9 Suppose -v**2/3 - 52*v/3 = 0. What is v? -52, 0 Suppose 2*k**3/15 - 136*k**2/15 + 198*k - 6804/5 = 0. Calculate k. 14, 27 What is d in -45*d**4 + 405*d**3/2 + 20*d**2 - 390*d - 200 = 0? -5/6, -2/3, 2, 4 Suppose k**5/3 - 22*k**4/3 - 103*k**3/3 - 32*k**2/3 + 52*k = 0. What is k? -3, -2, 0, 1, 26 Factor 2*j**3/7 + 2*j**2 - 72/7. 2*(j - 2)*(j + 3)*(j + 6)/7 Let -o**3/8 + 5*o**2 - 73*o/8 - 57/4 = 0. What is o? -1, 3, 38 Find a such that -2*a**5 - 72*a**4 + 76*a**3 + 72*a**2 - 74*a = 0. -37, -1, 0, 1 Factor -3*l**5/5 + 1323*l**4/5 - 147834*l**3/5 + 435594*l**2/5 - 432963*l/5 + 143883/5. -3*(l - 219)**2*(l - 1)**3/5 Factor -18*v**3/13 - 66*v**2/13 + 370*v/13 - 350/13. -2*(v + 7)*(3*v - 5)**2/13 Suppose 5*k**4 + 325*k**3 + 5430*k**2 + 4480*k - 10240 = 0. What is k? -32, -2, 1 Solve 75*j**4/4 - 165*j**3/2 - 297*j**2/4 + 78*j + 60 = 0. -4/5, 1, 5 Find o such that -8*o**3 - 148*o**2 - 124*o + 280 = 0. -35/2, -2, 1 Suppose -2*b**5 - 781*b**4/2 - 25446*b**3 - 555295*b**2 - 118300*b + 823875/2 = 0. What is b? -65, -1, 3/4 Suppose q**5/2 + 541*q**4/6 + 356*q**3/3 - 358*q**2/3 = 0. What is q? -179, -2, 0, 2/3 Suppose -2*q**5 + 54*q**4 - 118*q**3 - 726*q**2 + 2520*q - 1728 = 0. Calculate q. -4, 1, 3, 24 Solve 3*f**2 - 3555*f + 3552 = 0 for f. 1, 1184 Factor -2*m**2/5 - 8*m/5 + 2. -2*(m - 1)*(m + 5)/5 Find s, given that 6*s**3 + 1268*s**2 + 66568*s - 44944 = 0. -106, 2/3 Suppose 3*t**4 - 3*t**3 - 21*t**2 + 3*t + 18 = 0. What is t? -2, -1, 1, 3 Determine j so that -j**5/2 - 4*j**4 + 109*j**3/2 - 146*j**2 + 96*j = 0. -16, 0, 1, 3, 4 Factor -2*n**2/15 - 6032*n/15 - 4548128/15. -2*(n + 1508)**2/15 Suppose 15*s**5 + 580*s**4 + 3395*s**3 + 6390*s**2 + 4840*s + 1280 = 0. Calculate s. -32, -4, -1, -2/3 Solve -5*t**3 - 340*t**2 - 1300*t - 1280 = 0. -64, -2 Let 2*l**4 - 20*l**3 + 18*l**2 = 0. What is l? 0, 1, 9 Let -n**4/3 + 15*n**2 - 140*n/3 + 32 = 0. Calculate n. -8, 1, 3, 4 Factor 2*v**2/7 - 6*v + 76/7. 2*(v - 19)*(v - 2)/7 Suppose -4*w**3 + 152*w**2 - 1540*w + 4704 = 0. Calculate w. 7, 24 What is i in 25*i**3 - 190*i**2 + 465*i - 360 = 0? 8/5, 3 Solve -5*l**2 + 145*l - 140 = 0 for l. 1, 28 Suppose z**3 - 20*z**2/3 + 9*z - 10/3 = 0. Calculate z. 2/3, 1, 5 Factor -2*a**3/5 + 6*a**2/5 + 2*a/5 - 6/5. -2*(a - 3)*(a - 1)*(a + 1)/5 Factor 3*p**3/5 - 219*p**2/5 + 1032*p/5 - 816/5. 3*(p - 68)*(p - 4)*(p - 1)/5 Suppose -53240*c**5/3 + 99220*c**4/3 + 4730*c**3 + 655*c**2/3 + 10*c/3 = 0. Calculate c. -1/22, 0, 2 Find f, given that -2*f**2 + 1104*f + 1106 = 0. -1, 553 Factor -f**2 + 100*f - 2500. -(f - 50)**2 Factor -v**3/8 + 15*v**2/8 - 27*v/8 + 13/8. -(v - 13)*(v - 1)**2/8 Determine m, given that -m**2 + 26*m + 27 = 0. -1, 27 Factor -5*c**5 - 242*c**4 + 3264*c**3 - 12736*c**2 + 13568*c + 7680. -(c - 4)**3*(c + 60)*(5*c + 2) What is t in -57*t**2 - 287*t - 10 = 0? -5, -2/57 What is a in -3*a**4 + 30*a**3 - 45*a**2 - 30*a + 48 = 0? -1, 1, 2, 8 Suppose 2*g**5/13 - 86*g**4/13 + 242*g**3/13 - 74*g**2/13 - 244*g/13 + 160/13 = 0. Calculate g. -1, 1, 2, 40 Solve 45*d**5 - 1300*d**4 + 12005*d**3 - 30150*d**2 - 48500*d - 5000 = 0 for d. -1, -1/9, 10 Factor -2*x**3 + 12*x**2 - 10*x. -2*x*(x - 5)*(x - 1) Solve 4*j**5 + 12*j**4 - 16*j**3 - 48*j**2 = 0 for j. -3, -2, 0, 2 Let 2*l**4/7 - 6*l**3/7 + 8*l/7 = 0. What is l? -1, 0, 2 Factor 2*t**2/5 - 2*t + 12/5. 2*(t - 3)*(t - 2)/5 Factor -3*j**4 + 75*j**3 + 3*j**2 - 75*j. -3*j*(j - 25)*(j - 1)*(j + 1) Factor -u**5/2 - 3*u**4/2 + 9*u**3/2 - 5*u**2/2. -u**2*(u - 1)**2*(u + 5)/2 Suppose m**4/5 + 2*m**3 + 13*m**2/5 - 12*m + 36/5 = 0. What is m? -6, 1 Factor 4*l**3 - 92*l**2 - 96*l. 4*l*(l - 24)*(l + 1) Suppose i**5 + 12*i**4 - 22*i**3 - 396*i**2 + 405*i = 0. Calculate i. -9, 0, 1, 5 Factor 2*i**2/15 + 2*i/5 - 12/5. 2*(i - 3)*(i + 6)/15 What is f in 2*f**5/9 + 2*f**4/3 - 52*f**3/9 + 4*f**2 + 50*f/9 - 14/3 = 0? -7, -1, 1, 3 Factor -3*q**3 - 39*q**2 + 90*q. -3*q*(q - 2)*(q + 15) Factor -76*t**3 + 6544*t**2 - 141212*t + 14792. -4*(t - 43)**2*(19*t - 2) Determine a so that -a**2 - 13*a + 14 = 0. -14, 1 Factor -a**2/8 - 310*a + 2481/8. -(a - 1)*(a + 2481)/8 Solve -3*a**3/5 - 3*a**2 - 21*a/5 - 9/5 = 0. -3, -1 Factor 5*t**3/4 + 515*t**2/4 + 505*t/2. 5*t*(t + 2)*(t + 101)/4 Determine g so that 18*g**5 + 57*g**4 + 38*g**3 - 41*g**2 - 56*g - 16 = 0. -4/3, -1, -1/2, 1 Factor i**4/2 - 27*i**3/2 + 57*i**2 - 44*i. i*(i - 22)*(i - 4)*(i - 1)/2 Let -4*w**5/3 + 32*w**4/3 - 28*w**3 + 24*w**2 = 0. Calculate w. 0, 2, 3 Factor -2*q**4 + 10*q**3 + 116*q**2 + 176*q. -2*q*(q - 11)*(q + 2)*(q + 4) Factor 11*z**3 - 13*z**2 - 7*z + 9. (z - 1)**2*(11*z + 9) Solve s**3/4 - 4829*s**2/4 + 5827395*s/4 + 5832225/4 = 0. -1, 2415 Let -24*q**3/5 + 153*q**2/5 - 54*q + 81/5 = 0. Calculate q. 3/8, 3 Solve -5*b**5 + 80*b**4 = 0. 0, 16 Factor 2*l**3 - 72*l**2 - 74*l. 2*l*(l - 37)*(l + 1) Find r, given that -r**4 - 23*r**3/3 + 107*r**2/3 - 11*r = 0. -11, 0, 1/3, 3 Determine m so that 2*m**5/3 - 6*m**4 - 2*m**3/3 + 6*m**2 = 0. -1, 0, 1, 9 Find p such that -3*p**3 + 9*p**2 + 66*p - 72 = 0. -4, 1, 6 Factor 26*t**5/9 - 206*t**4/9 + 400*t**3/9 + 32*t**2/9. 2*t**2*(t - 4)**2*(13*t + 1)/9 Factor -2*u**4/5 + 12*u**3/5 + 14*u**2/5. -2*u**2*(u - 7)*(u + 1)/5 Factor 3*k**3 - 42*k**2 + 147*k. 3*k*(k - 7)**2 Factor y**2/9 + 53*y/9 - 488/9. (y - 8)*(y + 61)/9 Solve 4*r**2 + 392*r + 9604 = 0. -49 Solve -w**5/3 + 46*w**4 + 280*w**3/3 = 0 for w. -2, 0, 140 Determine p so that -p**4/2 + 101*p**3 - 10397*p**2/2 + 9700*p + 15000 = 0. -1, 3, 100 Suppose 4*o**4 + 40*o**3 - 51*o**2 - 79*o - 22 = 0. What is o? -11, -1/2, 2 Factor -2*z**3/15 + 26*z**2/15 - 32*z/15 - 128/5. -2*(z - 8)**2*(z + 3)/15 Factor c**2/10 + 1747*c/5 + 3052009/10. (c + 1747)**2/10 Fi
{ "pile_set_name": "DM Mathematics" }
itive. h**(-83/5) Simplify (j/(j**(5/13)*j*j)*j**(-4/3))**7 assuming j is positive. j**(-742/39) Simplify (v**(-7/5)/(v*v*((v**(-15/2)*v)/v*v)/v))**(-4) assuming v is positive. v**(-82/5) Simplify (i**26/(i/(i*i/(i*(i*i**(2/7))/i)*i)))/(i/i**(-1/8))**(-2/31) assuming i is positive. i**(23251/868) Simplify ((d**(-2/3)/(d**17/d*d))**(-10))**(-12/5) assuming d is positive. d**(-424) Simplify ((w/(w**(-1)*w))/w)/((w/(w*w*w/w**(-1/5)))/w)*(w**(-1/7))**44 assuming w is positive. w**(-108/35) Simplify (((i/(i/(i*i/i**(2/7))))/i)/(i/(i/i**(1/2))))/(i**(-7/3))**(-1/6) assuming i is positive. i**(-11/63) Simplify (p/(p*p/(p/(p*p**(-9)*p*p)))*p**(-3))/(p**(-2/7)/(p*(p**5*p)/p)) assuming p is positive. p**(65/7) Simplify ((i**(-4)/i)**(-1/10)*(i**10*i)/i**(1/8))**(-25) assuming i is positive. i**(-2275/8) Simplify ((p*p**(1/19))/p)/p*p/((p**(2/13)*p)/p)*(p/(p/(p/(p**2/p))*p*p))**34 assuming p is positive. p**(-16821/247) Simplify (s**0*s**(-1/11))/(s**(-7)*s**(1/5)) assuming s is positive. s**(369/55) Simplify (q**(-3/4))**(-1/40)*(q*q*q**21*q)**(-20/7) assuming q is positive. q**(-76779/1120) Simplify (j*((j/(j/(((j*j**3*j)/j*j)/j)*j))/j)/j)**(1/69)*((j/((j/((j/j**34)/j))/j*j))/j)/j*j**(-1/41) assuming j is positive. j**(-101831/2829) Simplify (u**4)**50*(u/((u/u**6)/u))/(u*u**(-6/5)*u) assuming u is positive. u**(1031/5) Simplify (r**(-2/5))**(-6)*(r**(3/5))**33 assuming r is positive. r**(111/5) Simplify ((d**(-6)*d/((d/(d/d**(2/3)*d))/d))**(19/2))**48 assuming d is positive. d**(-1672) Simplify (((((c/(c*c**(1/7)))/c)/c)/(c*c*c**(-5)))/(c**(1/5)/((c/((c**(-3/7)*c)/c*c))/c)))**(21/2) assuming c is positive. c**(9/10) Simplify (w**(-6)/w*w)/(w/(w**1*w))*(w/(w*w**(1/4)))**(-4/23) assuming w is positive. w**(-114/23) Simplify (m*(m/m**(-9/4))/m)**(-33)/(m**(-1/14)*m*m)**(-38) assuming m is positive. m**(-951/28) Simplify (y*y/(y**(-1/31)/y)*y*y*y)**22/((y**(-2/35)/y)/(y/(y**(-30)/y))) assuming y is positive. y**(179857/1085) Simplify ((c/c**(-3)*c)**3/(c**7/(c/(c/(c**(-2/19)/c)))))**(-6/5) assuming c is positive. c**(-786/95) Simplify (w*w**18*w*w/w**8)/((w/w**5)/((w*(w/((w*w/(w*w*w*w**(-2/39)))/w))/w)/w*w*w)) assuming w is positive. w**(817/39) Simplify (((t**1)**(-3))**(-7))**42 assuming t is positive. t**882 Simplify (v**(8/9)*v*v*v**(-9))/(v*v/((v*v/(v**(-6)*v)*v)/v)*v*v)**26 assuming v is positive. v**(647/9) Simplify (d**0)**(-27)/((d/(d**17*d))/d*d**(-1/13)) assuming d is positive. d**(235/13) Simplify (h/((h*h/h**(-1/3))/h))/h*h/(h*h/(h*h*h**(-14)))*h*h/(h**(-14)/h)*h/(h*h/h**(-1/4)) assuming h is positive. h**(17/12) Simplify (z**(-3/4)/z)/((z*z/(z*z**1))/z*z)*(z/((z*z**(-12))/z))/(z**(1/6)/z) assuming z is positive. z**(145/12) Simplify (j/((j**20/j)/j))/j*j**(13/3)*j*(j**12/j)**(-17) assuming j is positive. j**(-599/3) Simplify (w**(-1/3))**(-33)/(w/w**(-2/13)*w**(-3)*w) assuming w is positive. w**(154/13) Simplify ((d/(d/(d*d*d**(-1/5)))*d*d)/d**(-7)*d**(5/3)/(d**(-7)/d))**(2/29) assuming d is positive. d**(614/435) Simplify ((y/(y/(y**16/y))*y*y/y**(-12))**30)**(-5/3) assuming y is positive. y**(-1450) Simplify u**(-3/10)/(u/u**3)*(u/u**10)/u**(-5/4) assuming u is positive. u**(-121/20) Simplify (p**(1/11))**(-38)*p*(p*p**19)/p*p**(-3/7)*p*p assuming p is positive. p**(1395/77) Simplify i**(1/9)*i**(-9/7)*(i*i*i**(-2))**(-5) assuming i is positive. i**(-74/63) Simplify (a**(-1/14)*a/(a*a**(-9)))/(a**(-1/2))**(-47) assuming a is positive. a**(-102/7) Simplify (a*a**(1/4))**(32/3)/(a/a**11*a**10) assuming a is positive. a**(40/3) Simplify (((z/(z/((z**(-4)/z)/z)))/z)/(z*(z/z**(4/5)*z)/z))/(z*(z/(z**(2/3)/z))/z)**35 assuming z is positive. z**(-823/15) Simplify f*((f*f*f**(-15))/f)/f*f*(f/(f*f/((f*f**(-3/16))/f)))/f*f**(-2/35)*f**(2/21) assuming f is positive. f**(-25451/1680) Simplify (s**(-11)*s*s**(-4/11)*s)/(((s*s**(4/7)*s)/s)/s**(4/3)) assuming s is positive. s**(-2218/231) Simplify (d/(d/(d/d**6)))/d**(2/3)*((d/(d*d**(-3/7)))/d)/(d*d*d**(-15)) assuming d is positive. d**(142/21) Simplify d*d**(-2/11)*d**(6/13)/d*d*(d*d**(1/17))/d*d*d**(1/3) assuming d is positive. d**(19486/7293) Simplify (((h*((h*h/h**(1/4))/h)/h*h)/h*h)/(h**(5/3)*h))**(-9) assuming h is positive. h**(33/4) Simplify (a**21*a**(-4/7))/(a*a**(-2/7)*a*(a**(-1/2)*a)/a) assuming a is positive. a**(269/14) Simplify ((a*a/(a/(a/((a/(a/(a/(a*a**1))*a))/a)*a)))/(a*a/(a/(a/(a**(3/10)*a)*a)))*(a*a/(a/(a*(a**(-1)*a)/a*a)))**(13/2))**(26/3) assuming a is positive. a**(2249/15) Simplify l**(-1/23)/((l/((l*l*l*l/l**(12/13))/l)*l*l*l)/l*l*l)*(((l**(-2/5)/l)/l)/l)**(-7/3) assuming l is positive. l**(22276/4485) Simplify v**27/v**(-10/9)*(v/(v/v**(-5/11)))/(((v**(-28)*v)/v)/v) assuming v is positive. v**(5609/99) Simplify (t*t/((t*t**(-5/3))/t))/t*t*t/((t*(t/(t*t*t**(1/2)/t)*t)/t)/t)*t/(t*t/(t*t/(t**(-2/3)/t)))*t**(-8/7) assuming t is positive. t**(281/42) Simplify (g*g/g**(-4)*g**(2/13)*(g/g**2)/(g/(g/g**(2/5))))**(-15/2) assuming g is positive. g**(-927/26) Simplify ((n/n**(-9/5))/n)/n**3*(n*n/(n*n**(1/4)/n))/n**(2/31) assuming n is positive. n**(301/620) Simplify (l*l**(-17/2)/l*(l**5*l*l)/l)**3 assuming l is positive. l**(-15/2) Simplify ((l/((((l**(-7/4)*l*l)/l)/l)/l*l))/l)/(l/(l*(l*l**(-11)*l)/l))*l*l/(l/((l**(2/9)*l*l)/l)*l)*l/(l/l**(1/11))*l assuming l is positive. l**(-2351/396) Simplify (((r/r**(-7/3))/(r*r**0))**(2/13))**(1/3) assuming r is positive. r**(14/117) Simplify (l/l**(-10/7)*l*(l/(l**(2/47)*l))/l)/((l/(l/(l**(15/8)/l)))/l*l/(l*(l*(l/(l**(19/3)*l))/l)/l)) assuming l is positive. l**(-38077/7896) Simplify (l/(l/(l*l*l**(-1/2))))**(-2/75)*(l*l**(2/3))/(l**(12/11)/l) assuming l is positive. l**(1267/825) Simplify j**8*j**14/j*(j**(-2))**(-34/3) assuming j is positive. j**(131/3) Simplify ((g/(g/(g**(-3/2)/g)))**(6/7))**(-27) assuming g is positive. g**(405/7) Simplify (s**(1/7)/((s**(-13/5)*s)/s*s))/(((s*s/s**(1/14))/s)/(s/(s*s**(5/2)*s))) assuming s is positive. s**(-94/35) Simplify ((r**(7/10))**(1/23))**(7/2) assuming r is positive. r**(49/460) Simplify ((b/(((b/(b/(b/b**(-16)))*b)/b)/b))/b*b**(-1/4)/b)/(b/(b*b/(b**21/b))*b**(1/9)) assuming b is positive. b**(-1309/36) Simplify (b**(2/3))**(-1/43)*b**(8/3)*(b**(1/9)*b)/b assuming b is positive. b**(1069/387) Simplify (((h/h**(4/5))/(h*(h**(-5)/h)/h*h*h))/(h/((h*h/h**(-2))/h)*h)**(-9))**(-1/30) assuming h is positive. h**(4/25) Simplify (n*n/(n/(n*n**(-6/13)*n))*n*n*n*n**(-11/2)/n)/(((n**17*n)/n*n)/(n**(-27)/n*n*n)) assuming n is positive. n**(-1169/26) Simplify (((d**(1/6)/d)**9)**(2/83))**6 assuming d is positive. d**(-90/83) Simplify y**(-5/3)*y**(-10/7)*y*y*y/(y*y**25)*y**16/y assuming y is positive. y**(-233/21) Simplify ((j/(j*j**(-2)))**(3/38)*(j**(2/9))**44)**(-1/15) assuming j is positive. j**(-1699/2565) Simplify (d**(-3))**35/(d**(-2/11)/(d/(d*d**9))) assuming d is positive. d**(-1252/11) Simplify q**(-3/5)/q*q*q**(-32)*((q*q/(q/q**11))/q)/q**(-24) assuming q is positive. q**(12/5) Simplify (a**(-44)/(a/(a/(a*a**(39/7)/a)*a)))**(-1/8) assuming a is positive. a**(85/14) Simplify ((a/a**(-3/10))/(a/a**(-22)*a))/(a**(-29)*((a/a**(-2/27)*a)/a)/a) assuming a is positive. a**(1681/270) Simplify (g**(2/5))**(-2/73)/(g**(-18)/g*g**(-16)) assuming g is positive. g**(12771/365) Simplify (((b**(-2/7)/b)**26)**13)**(1/7) assuming b is positive. b**(-3042/49) Simplify (y**(3/5)*y**(3/8))/(y**1)**(-24) assuming y is positive. y**(999/40) Simplify (o/o**(-2/13)*o)/(o/(o*o**(-16)))*(o/(o**(8/9)*o))/(o/o**(3/8)) assuming o is positive. o**(-14377/936) Simplify (w**2*w*w/(w*w**(6/5)))/((w*w**5)/w**10) assuming w is positive. w**(29/5) Simplify (((t**(-8))**(-8))**(-1/44))**(-39/5) assuming t is positive. t**(624/55) Simplify f*f**(-5/2)*f*f**(-5)*(f*f/(f/(f*f**3))*f)/f**(-2/31) assuming f is positive. f**(35/62) Simplify (s**(-3/7)/(s*s/(s*(s*s**(-4/13))/s))*(s*s*(s*s**(-3))/s)/(s**(3/11)/s))**25 assuming s is positive. s**(-50275/1001) Simplify ((t**(-3/16)*t)**(-7/4))**(13/4) assuming t is positive. t**(-1183/256) Simplify ((y**(-2))**(2/43))**(-10/13) assuming y is positive. y**(40/559) Simplify (q**(3/2))**(4/19)/(q**(2/13))**(-1/43) assuming q is positive. q**(3392/10621) Simplify (((l*l/l**(2/13))/((((l**(-7)*l)/l)/l)/l))**(17/4))**(-3/34) assuming l is positive. l**(-423/104) Simplify q/q**(2/43)*q/q**(-3/7)*((q/q**
{ "pile_set_name": "DM Mathematics" }
ive prob of picking 1 w, 1 p, and 1 h. 11/182 What is prob of picking 1 o and 1 p when two letters picked without replacement from {o: 4, p: 2, g: 3}? 2/9 What is prob of picking 2 o and 1 c when three letters picked without replacement from {o: 6, c: 4}? 1/2 What is prob of picking 1 d and 1 r when two letters picked without replacement from {d: 7, r: 2}? 7/18 What is prob of picking 2 g when two letters picked without replacement from {s: 10, g: 2, d: 3}? 1/105 Four letters picked without replacement from {w: 7, s: 4}. Give prob of picking 4 s. 1/330 What is prob of picking 1 e and 1 l when two letters picked without replacement from eleeellllellllll? 11/24 Calculate prob of picking 1 j and 1 v when two letters picked without replacement from joov. 1/6 Calculate prob of picking 1 w and 2 g when three letters picked without replacement from gcgswpn. 1/35 Calculate prob of picking 2 v and 1 g when three letters picked without replacement from {g: 7, v: 3}. 7/40 Three letters picked without replacement from rrrrrlrmxrrrrkkr. What is prob of picking 1 k, 1 r, and 1 x? 11/280 Calculate prob of picking 1 h, 1 a, and 1 f when three letters picked without replacement from {a: 4, h: 3, k: 4, f: 4}. 48/455 What is prob of picking 1 a, 1 l, and 1 c when three letters picked without replacement from dalldctgatlglca? 24/455 Four letters picked without replacement from {i: 2, r: 2, c: 2, d: 1, j: 1}. Give prob of picking 1 j, 2 r, and 1 d. 1/70 Calculate prob of picking 2 p when two letters picked without replacement from {e: 1, u: 1, p: 3}. 3/10 Three letters picked without replacement from kydcr. What is prob of picking 1 y, 1 d, and 1 c? 1/10 Two letters picked without replacement from vvpvvpvvvpvv. What is prob of picking 2 v? 6/11 Two letters picked without replacement from {p: 3, b: 1, j: 1, w: 2, h: 1, m: 5}. Give prob of picking 1 h and 1 b. 1/78 Three letters picked without replacement from gajvvgavgn. What is prob of picking 1 g and 2 a? 1/40 Three letters picked without replacement from {y: 3, l: 6, h: 1, e: 5}. What is prob of picking 1 h and 2 y? 3/455 Two letters picked without replacement from {o: 2, a: 1, g: 1, c: 2, d: 1, b: 2}. What is prob of picking 1 c and 1 d? 1/18 Calculate prob of picking 2 b and 1 h when three letters picked without replacement from {x: 3, i: 5, h: 1, b: 2, f: 5}. 1/560 Calculate prob of picking 1 r and 1 p when two letters picked without replacement from {s: 6, t: 8, p: 1, r: 3}. 1/51 Two letters picked without replacement from pgppptgtggtp. What is prob of picking 1 t and 1 p? 5/22 What is prob of picking 3 n and 1 a when four letters picked without replacement from vwnvwaninuvn? 4/495 Three letters picked without replacement from zxqqgqz. Give prob of picking 1 g, 1 x, and 1 z. 2/35 Two letters picked without replacement from wmwfmmwmfmwf. What is prob of picking 2 m? 5/33 Calculate prob of picking 2 r and 1 a when three letters picked without replacement from alflrlfofffrlll. 1/455 Two letters picked without replacement from {h: 1, g: 3, d: 1}. What is prob of picking 1 h and 1 d? 1/10 Three letters picked without replacement from wwvwwvwwhwvwwvfvv. Give prob of picking 1 h and 2 w. 9/170 Three letters picked without replacement from {n: 5, k: 2}. Give prob of picking 1 n and 2 k. 1/7 Three letters picked without replacement from gycigyycyg. What is prob of picking 1 g, 1 i, and 1 y? 1/10 Four letters picked without replacement from uubbbubuduubuuububdu. Give prob of picking 4 u. 22/323 What is prob of picking 4 v when four letters picked without replacement from {p: 1, v: 5, a: 9, f: 1}? 1/364 Two letters picked without replacement from {f: 1, e: 2, m: 1, n: 3}. Give prob of picking 1 f and 1 m. 1/21 What is prob of picking 3 s when three letters picked without replacement from {p: 3, s: 5, l: 3}? 2/33 What is prob of picking 1 r and 1 z when two letters picked without replacement from {r: 2, q: 3, k: 2, a: 2, z: 3, n: 4}? 1/20 Three letters picked without replacement from {o: 3, b: 1, k: 11}. What is prob of picking 1 o, 1 k, and 1 b? 33/455 Four letters picked without replacement from fknnknfkkknfkkffnnn. What is prob of picking 2 f and 2 n? 35/646 Calculate prob of picking 1 a and 1 d when two letters picked without replacement from dadbdaaaddaaad. 6/13 Four letters picked without replacement from {w: 3, l: 7}. Give prob of picking 1 w and 3 l. 1/2 Calculate prob of picking 2 q and 1 y when three letters picked without replacement from {y: 1, s: 1, j: 1, v: 3, h: 2, q: 5}. 5/143 Calculate prob of picking 1 q and 2 u when three letters picked without replacement from {l: 1, g: 5, q: 1, u: 4}. 2/55 What is prob of picking 2 r when two letters picked without replacement from {r: 7}? 1 Four letters picked without replacement from wwsbgbbbcbwbbbbbbw. What is prob of picking 4 b? 11/102 Calculate prob of picking 2 f and 2 y when four letters picked without replacement from {y: 5, f: 11}. 55/182 What is prob of picking 1 t and 1 d when two letters picked without replacement from {d: 4, t: 3, o: 6, r: 1}? 12/91 Calculate prob of picking 1 p and 1 i when two letters picked without replacement from prrirtrtrettrptlrrlp. 3/190 Three letters picked without replacement from {d: 4, e: 2}. What is prob of picking 1 e and 2 d? 3/5 Two letters picked without replacement from lllll. What is prob of picking 2 l? 1 Two letters picked without replacement from {g: 7, c: 2, v: 2}. Give prob of picking 1 c and 1 g. 14/55 Calculate prob of picking 1 w and 1 h when two letters picked without replacement from hhhhwhwhwhw. 28/55 Calculate prob of picking 2 k when two letters picked without replacement from {h: 4, k: 2}. 1/15 Three letters picked without replacement from ruuurmruum. What is prob of picking 3 u? 1/12 Three letters picked without replacement from {l: 3, q: 3}. Give prob of picking 2 l and 1 q. 9/20 Three letters picked without replacement from {y: 2, v: 3, i: 5}. Give prob of picking 1 i, 1 v, and 1 y. 1/4 Calculate prob of picking 2 l when two letters picked without replacement from {o: 7, r: 2, l: 5}. 10/91 Calculate prob of picking 2 b and 1 j when three letters picked without replacement from jjqjqbjjbqqqjjbjqq. 1/34 What is prob of picking 1 n and 2 l when three letters picked without replacement from {l: 9, n: 3}? 27/55 What is prob of picking 1 b and 2 l when three letters picked without replacement from {g: 2, r: 1, s: 4, m: 6, b: 2, l: 3}? 1/136 Three letters picked without replacement from shpdzsswpzp. Give prob of picking 2 z and 1 s. 1/55 Four letters picked without replacement from jjjjjjjjjj. What is prob of picking 4 j? 1 Four letters picked without replacement from vcceceeccvcev. What is prob of picking 2 c and 2 v? 9/143 Two letters picked without replacement from {w: 3, d: 3}. What is prob of picking 1 w and 1 d? 3/5 What is prob of picking 2 x when two letters picked without replacement from xxxxommmmxmommomxxxo? 14/95 Calculate prob of picking 2 l when two letters picked without replacement from {l: 2, h: 17}. 1/171 Three letters picked without replacement from xhyhyhyhyyyhhyy. Give prob of picking 1 x, 1 y, and 1 h. 48/455 What is prob of picking 2 g and 2 s when four letters picked without replacement from {v: 4, g: 2, s: 10}? 9/364 What is prob of picking 2 n and 1 z when three letters picked without replacement from zznzzzzzzzzzzzzznzzn? 17/380 Calculate prob of picking 1 l and 1 r when two letters picked without replacement from yylrrryyyryryryylr. 14/153 Calculate prob of picking 1 p and 1 i when two letters picked without replacement from {p: 1, x: 1, i: 1, u: 4, k: 2, h: 3}. 1/66 Calculate prob of picking 1 w and 2 m when three letters picked without replacement from wwwwwwmwmwwwwwwmwwww. 17/380 What is prob of picking 1 s and 1 r when two letters picked without replacement from mnqrs? 1/10 What is prob of picking 1 m and 1 z when two letters picked without replacement from amaazzaza? 1/12 Three letters picked without replacement from wppqpwrpwq. What is prob of picking 2 q and 1 p? 1/30 Calculate prob of picking 1 f, 1 s, and 1 c when three letters picked without replacement from jpffffpfcsfffmffjs. 5/204 Four letters picked without replacement from rrrruru. Give prob of picking 2 u and
{ "pile_set_name": "DM Mathematics" }
cement from xrxrxxrrrrrrrrfrrx. What is prob of sequence rxxx? 1/102 Three letters picked without replacement from xdidmyeyixmy. Give prob of sequence xiy. 1/110 Calculate prob of sequence bbb when three letters picked without replacement from lbblbbl. 4/35 Three letters picked without replacement from {c: 5, l: 1, m: 5}. What is prob of sequence mlm? 2/99 Two letters picked without replacement from {a: 1, l: 6, c: 5, k: 5}. Give prob of sequence cl. 15/136 Two letters picked without replacement from {j: 1, s: 1, k: 1, x: 1, d: 1}. Give prob of sequence xs. 1/20 What is prob of sequence xo when two letters picked without replacement from ooxxoooooox? 12/55 Four letters picked without replacement from jijjnnjijjj. What is prob of sequence njin? 7/1980 What is prob of sequence ddv when three letters picked without replacement from vddv? 1/6 Calculate prob of sequence rs when two letters picked without replacement from wxrsbvb. 1/42 Four letters picked without replacement from {n: 2, f: 1, a: 4}. Give prob of sequence nfaa. 1/35 Calculate prob of sequence ku when two letters picked without replacement from {k: 4, u: 1, b: 3}. 1/14 Calculate prob of sequence eke when three letters picked without replacement from keekkekk. 5/56 What is prob of sequence eea when three letters picked without replacement from eaeeeeeeeeeeeeeeaeee? 17/190 Calculate prob of sequence jj when two letters picked without replacement from {j: 7, v: 7}. 3/13 Three letters picked without replacement from {q: 2, u: 2, y: 1, z: 1, f: 2, n: 1}. Give prob of sequence znf. 1/252 Calculate prob of sequence jyl when three letters picked without replacement from yljbj. 1/30 Calculate prob of sequence attm when four letters picked without replacement from {a: 8, t: 6, m: 3, q: 1, o: 1}. 5/646 Three letters picked without replacement from mcmmc. What is prob of sequence cmm? 1/5 What is prob of sequence ni when two letters picked without replacement from sejesinejisejae? 1/105 Two letters picked without replacement from yyxkyjyyx. Give prob of sequence kx. 1/36 What is prob of sequence rx when two letters picked without replacement from fffkxrjkrkrrrjx? 1/21 Three letters picked without replacement from ueqehqcbqeccccc. Give prob of sequence bce. 3/455 Calculate prob of sequence dn when two letters picked without replacement from nddddddddnddddnddd. 5/34 Four letters picked without replacement from {g: 3, i: 7}. Give prob of sequence gigi. 1/20 Two letters picked without replacement from uuuuuu. What is prob of sequence uu? 1 Two letters picked without replacement from gwbansa. What is prob of sequence bs? 1/42 What is prob of sequence titt when four letters picked without replacement from {i: 2, t: 16}? 14/153 Calculate prob of sequence nd when two letters picked without replacement from {q: 2, n: 2, d: 5}. 5/36 What is prob of sequence ppp when three letters picked without replacement from dpddppd? 1/35 What is prob of sequence bw when two letters picked without replacement from {a: 3, w: 1, b: 7, i: 1}? 7/132 Four letters picked without replacement from {a: 4, y: 3}. What is prob of sequence ayaa? 3/35 Two letters picked without replacement from dgtrdttt. What is prob of sequence dg? 1/28 Calculate prob of sequence fx when two letters picked without replacement from fxf. 1/3 Four letters picked without replacement from {q: 1, z: 1, m: 1, p: 4, e: 4, h: 4}. What is prob of sequence qhmh? 1/2730 Three letters picked without replacement from {n: 1, h: 1, q: 5, l: 5, o: 2, v: 2}. What is prob of sequence vvh? 1/1680 What is prob of sequence cvup when four letters picked without replacement from ccupupvppc? 1/210 Calculate prob of sequence rhth when four letters picked without replacement from {h: 2, r: 1, o: 1, g: 2, t: 1, s: 1}. 1/840 Three letters picked without replacement from {y: 1, w: 2}. What is prob of sequence wyw? 1/3 What is prob of sequence xx when two letters picked without replacement from {u: 1, x: 3, n: 5}? 1/12 Two letters picked without replacement from lfzki. What is prob of sequence fz? 1/20 What is prob of sequence vvvv when four letters picked without replacement from {j: 2, v: 9}? 21/55 Two letters picked without replacement from eqqqbqbqeeeeqbqbe. Give prob of sequence ee. 15/136 Calculate prob of sequence mq when two letters picked without replacement from mmmmqqm. 5/21 Calculate prob of sequence bjib when four letters picked without replacement from {j: 4, t: 2, b: 3, i: 1}. 1/210 Three letters picked without replacement from {k: 9, q: 6, o: 3, f: 1}. What is prob of sequence kkq? 24/323 Calculate prob of sequence sn when two letters picked without replacement from eiiindseeas. 1/55 Three letters picked without replacement from {t: 1, v: 2, y: 2, h: 1}. What is prob of sequence yvh? 1/30 What is prob of sequence zzo when three letters picked without replacement from {o: 2, z: 7, e: 4}? 7/143 Calculate prob of sequence raa when three letters picked without replacement from {r: 1, g: 2, a: 2}. 1/30 Two letters picked without replacement from bbbbkkbbbbbkkbbkbbb. What is prob of sequence kb? 35/171 What is prob of sequence fwwm when four letters picked without replacement from wfwwm? 1/20 Four letters picked without replacement from {z: 7, p: 5, r: 2}. Give prob of sequence zppr. 5/429 What is prob of sequence fmxx when four letters picked without replacement from nfaakxxmnaaxa? 1/2860 Two letters picked without replacement from {n: 1, k: 1, i: 1, h: 1, m: 1}. Give prob of sequence hi. 1/20 Two letters picked without replacement from {g: 7}. What is prob of sequence gg? 1 Two letters picked without replacement from jkggrjgaaggkrgggjrj. Give prob of sequence gk. 8/171 Calculate prob of sequence ppd when three letters picked without replacement from pppppppppppppppppdpp. 1/20 What is prob of sequence qi when two letters picked without replacement from ibiqiiqib? 5/36 What is prob of sequence bp when two letters picked without replacement from qbfffphffhbffb? 3/182 Four letters picked without replacement from {k: 1, b: 3, d: 4}. Give prob of sequence dbbk. 1/70 Three letters picked without replacement from kkzzkzz. What is prob of sequence kzz? 6/35 What is prob of sequence dlj when three letters picked without replacement from {l: 1, j: 14, d: 2}? 7/1020 Calculate prob of sequence as when two letters picked without replacement from mqpeppsaeppsaspapq. 1/34 Two letters picked without replacement from {x: 8, w: 4, r: 4}. What is prob of sequence wr? 1/15 What is prob of sequence uf when two letters picked without replacement from kufvvuuuufukfuvuu? 27/272 Three letters picked without replacement from {x: 2, u: 2, w: 1, s: 1}. Give prob of sequence sxw. 1/60 Two letters picked without replacement from wwalwllw. Give prob of sequence ww. 3/14 What is prob of sequence na when two letters picked without replacement from {d: 2, a: 8, n: 1, i: 5, v: 3}? 4/171 Two letters picked without replacement from vvldhho. What is prob of sequence ov? 1/21 Calculate prob of sequence ttp when three letters picked without replacement from ppfhhwtwwtwfwhpwttfh. 1/190 Two letters picked without replacement from {i: 15, t: 4}. What is prob of sequence ti? 10/57 Two letters picked without replacement from ddmydydydmyddmyym. Give prob of sequence my. 3/34 Four letters picked without replacement from {m: 3, b: 13, r: 1}. Give prob of sequence rmrb. 0 What is prob of sequence ye when two letters picked without replacement from yheeg? 1/10 What is prob of sequence nf when two letters picked without replacement from {n: 1, p: 1, f: 3}? 3/20 Three letters picked without replacement from iitiiiiiiiiiqiii. Give prob of sequence qti. 1/240 Four letters picked without replacement from {v: 5, a: 1, d: 4, m: 5, z: 1, j: 1}. What is prob of sequence zamd? 1/2856 Four letters picked without replacement from pxzkkwapkxpapkpwk. What is prob of sequence wwxp? 1/2856 Calculate prob of sequence qqzz when four letters picked without replacement from {q: 3, z: 4}. 3/35 What is prob of sequence xe when two letters picked without replacement from {n: 1, l: 4, e: 1, x: 4, f: 3, h: 1}? 2/91 Calculate prob of sequence uqq when three letters picked without replacement from {b: 4, u: 4, q: 2}. 1/90 What is prob of
{ "pile_set_name": "DM Mathematics" }
4? 892 Calculate the greatest common divisor of 1546 and 23850142. 1546 Calculate the highest common factor of 1946097 and 477. 9 Calculate the greatest common divisor of 204723 and 9936. 207 What is the greatest common factor of 3625 and 20841430? 145 Calculate the highest common factor of 382134967 and 11636. 2909 Calculate the greatest common divisor of 872 and 84808. 8 Calculate the greatest common divisor of 2235 and 6695762. 149 Calculate the highest common divisor of 4890222 and 108. 18 What is the greatest common divisor of 500 and 6620? 20 Calculate the highest common divisor of 4617 and 115665939. 171 What is the greatest common divisor of 4440924 and 18372? 12 What is the highest common divisor of 100367 and 286739? 167 What is the highest common divisor of 66464 and 70082134? 4154 Calculate the greatest common divisor of 833931 and 382592. 2989 What is the highest common factor of 6 and 75441996? 6 Calculate the highest common factor of 189148863 and 12526. 6263 What is the greatest common divisor of 2298630 and 1351? 193 What is the highest common factor of 83129525 and 8850? 1475 Calculate the highest common factor of 1376 and 3088864. 32 Calculate the highest common factor of 6384 and 74032. 112 Calculate the greatest common divisor of 30140192 and 8705. 1741 What is the greatest common divisor of 3 and 5425193? 1 Calculate the greatest common factor of 56608 and 699304. 488 Calculate the greatest common factor of 2805 and 93245. 85 Calculate the greatest common factor of 2109565 and 320. 5 Calculate the greatest common divisor of 900 and 136428. 12 Calculate the highest common divisor of 541558463 and 41. 41 Calculate the greatest common divisor of 2234818 and 5934. 46 What is the highest common divisor of 3818035 and 11174? 151 Calculate the greatest common divisor of 1181175 and 525. 75 What is the highest common factor of 1350123645 and 94? 47 What is the highest common factor of 54810 and 155904? 1218 What is the highest common factor of 199545 and 115460? 1255 Calculate the highest common divisor of 126 and 23031540. 126 Calculate the highest common factor of 39528 and 144469350. 1098 What is the highest common factor of 621228 and 120? 12 Calculate the highest common divisor of 81035566 and 2414. 2414 Calculate the highest common divisor of 38 and 243363761. 19 What is the greatest common factor of 155 and 37844335? 155 What is the highest common factor of 5104170 and 45? 45 Calculate the highest common factor of 317844 and 4954284. 2916 Calculate the greatest common factor of 74 and 111806. 2 What is the highest common factor of 327 and 5394301? 109 What is the greatest common divisor of 14 and 4574374? 14 What is the highest common divisor of 90595 and 4480? 5 What is the greatest common factor of 23120 and 18904? 136 Calculate the highest common divisor of 13916 and 3277076. 284 Calculate the highest common divisor of 4437765 and 3315. 255 What is the greatest common divisor of 4000321 and 513383? 5083 Calculate the greatest common divisor of 2535 and 21887697. 507 What is the highest common divisor of 165446597 and 62? 31 What is the highest common factor of 1016418984 and 952? 952 Calculate the highest common factor of 101148 and 1404. 12 What is the greatest common divisor of 42176 and 5512535? 659 Calculate the highest common divisor of 244490262 and 19818. 2202 What is the greatest common divisor of 9 and 11703762? 9 Calculate the greatest common factor of 288944616 and 7232. 904 Calculate the highest common factor of 105 and 91456239. 21 Calculate the highest common divisor of 1660 and 3467325. 415 What is the highest common factor of 13296 and 8706664? 2216 What is the highest common divisor of 19 and 45581513? 19 What is the greatest common factor of 95463216 and 144? 144 What is the highest common divisor of 1694 and 2161313? 77 Calculate the highest common divisor of 7129381 and 5026. 2513 What is the highest common factor of 417122 and 365? 73 What is the highest common divisor of 43165 and 9565? 5 What is the greatest common divisor of 238 and 4453078? 14 What is the greatest common divisor of 4380468 and 24? 12 Calculate the greatest common divisor of 2164256 and 61664. 1504 Calculate the greatest common divisor of 6 and 4351258. 2 What is the greatest common factor of 2255 and 452435? 205 Calculate the highest common divisor of 6318237 and 187. 17 What is the highest common divisor of 2505969 and 292254? 2181 What is the highest common divisor of 700284 and 62913? 201 What is the highest common divisor of 5913 and 176530644? 1971 Calculate the highest common factor of 72867715 and 11629. 401 What is the greatest common factor of 1290 and 32145? 15 What is the highest common factor of 714428294 and 5828? 2914 What is the highest common factor of 47992257 and 9? 9 Calculate the greatest common factor of 5135900 and 539. 77 What is the greatest common factor of 3230426 and 116? 58 Calculate the greatest common divisor of 359970 and 7410. 390 What is the greatest common factor of 8651099 and 1007? 19 What is the highest common divisor of 112 and 4200932? 4 What is the highest common factor of 86850348 and 66300? 2652 Calculate the highest common divisor of 400544 and 160. 32 What is the highest common factor of 38 and 891119? 19 Calculate the greatest common divisor of 1422564 and 56628. 1716 What is the highest common divisor of 249584 and 2185? 19 Calculate the highest common divisor of 1575616 and 2492. 28 What is the greatest common factor of 2381 and 1110? 1 Calculate the highest common factor of 216 and 3250017. 27 Calculate the highest common factor of 140 and 880831000. 140 Calculate the highest common factor of 2588160 and 92675. 1685 What is the highest common factor of 572954712 and 264? 264 What is the highest common factor of 158383557 and 279? 279 What is the highest common factor of 1656 and 27421152? 552 Calculate the greatest common factor of 15 and 45249. 3 What is the highest common divisor of 48792177 and 84? 21 Calculate the highest common divisor of 3833423 and 23635. 29 What is the highest common factor of 320700 and 34100? 100 Calculate the greatest common factor of 4 and 7742068. 4 What is the greatest common divisor of 171445185 and 15? 15 What is the greatest common factor of 43776 and 26842554? 342 What is the highest common factor of 6609267 and 24353? 343 What is the highest common divisor of 49728 and 38592813? 777 Calculate the highest common divisor of 48240 and 2286040. 2680 Calculate the highest common divisor of 91712091 and 813. 813 Calculate the highest common factor of 19057 and 44089823. 323 Calculate the highest common factor of 120 and 2805353400. 120 Calculate the highest common factor of 93000551 and 56. 7 What is the greatest common divisor of 646 and 28286402? 646 What is the highest common divisor of 61740 and 387870? 210 What is the highest common factor of 18084 and 362428? 44 Calculate the greatest common divisor of 40 and 118820456. 8 What is the highest common divisor of 10644 and 59412? 12 What is the greatest common factor of 7 and 2718191? 7 Calculate the highest common divisor of 15931 and 10041184. 179 What is the greatest common factor of 7050582 and 23247? 63 What is the highest common factor of 10780293 and 1396853? 10663 Calculate the highest common factor of 40481 and 19579. 7 Calculate the highest common divisor of 14643273 and 493476. 2091 Calculate the greatest common divisor of 288494 and 49. 1 Calculate the greatest common factor of 33202 and 19201. 13 What is the greatest common divisor of 1550790 and 180? 90 What is the highest common divisor of 183498482 and 4055? 811 What is the greatest common divisor of 10230 and 120010? 110 What is the greatest common divisor of 857355 and 549? 183 Calculate the greatest common factor of 47 and 48284557. 47 Calculate the highest common divisor of 3819606 and 462. 42 What is the greatest common factor of 1246 and 4794433560? 1246 What is the highest common divisor of 513 and 495642873? 57 Calculate the greatest common factor of 889791184 and 656. 656 Calculate the highest common factor of 444285 and 960. 15 Calculate the greatest common factor of 52683 and 219147. 51 What is the highest common facto
{ "pile_set_name": "DM Mathematics" }